{ "cells": [ { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Time Series Forecasting with ARIMA\n", "\n", "Feng Li\n", "\n", "School of Statistics and Mathematics\n", "\n", "Central University of Finance and Economics\n", "\n", "[feng.li@cufe.edu.cn](mailto:feng.li@cufe.edu.cn)\n", "\n", "[https://feng.li/python](https://feng.li/python)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## ARIMA models\n", "\n", "- Have been a popular forecasting tool since the 1970s \n", "- Why do they work?\n", " - ARMA is a flexible and parsimonious way to represent any stationary time series.\n", " - Non-stationary data can be differenced to make it stationary (hence ARIMA). \n", " - Maximum likelihood can be used to estimate stationary ARMA models. \n", " - Forecasts from such models are easy to generate.\n", "- First question: What is stationarity?" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Expectations in time series\n", "\n", "- Consider the time series\n", "\n", "$$Y_1,Y_2,\\dots,Y_T$$\n", "\n", "- What do we mean by the expected value $E(Y_t)$?\n", "\n", "- Let the density of $Y_t$ be $f_{Y_t}$. The expected value is given by\n", "\n", "$$E(Y_t)=\\int y_tf_{Y_t}(y_t)dy_t$$\n", "\n", "- This is the *unconditional* expected value.\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## An Illustration\n", "\n", "- Imagine $I$ multiverses each with different realisations of the time series\n", "\n", "$$\\begin{aligned}\\textrm{Multiverse 1:}\\,&y^{(1)}_1,y^{(1)}_2\\dots, y^{(1)}_t,\\dots,y^{(1)}_{T}\\\\\\textrm{Multiverse 2:}\\,& y^{(2)}_1,y^{(2)}_2\\dots, y^{(2)}_t,\\dots,y^{(2)}_{T}\\\\&\\vdots\\quad\\vdots\\quad\\vdots\\quad\\vdots\\quad\\vdots\\quad\\vdots\\\\\\textrm{Multiverse I:}\\,& y^{(I)}_1,y^{(I)}_2\\dots, y^{(I)}_t,\\dots,y^{(I)}_{T}\\end{aligned}$$\n", "\n", "- Let the number of multiverses go to infinity and average observation $t$ over each multiverse.\n", "\n", "$$E(Y_t)=\\underset{I\\rightarrow\\infty}{\\lim}\\frac{1}{I}\\sum\\limits_{i=1}^{I}y^{(i)}_t$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## Other concepts\n", "\n", "For *some* time series the following holds\n", "\n", "$$E(Y_t)=\\underset{T\\rightarrow\\infty}{\\lim}\\frac{1}{T}\\sum\\limits_{t=1}^{T}y^{(i)}_t$$\n", "\n", "These time series are called **ergodic for the mean**. " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Also do not confuse *conditional* and *unconditional* expections, i.e.\n", "\n", "$$E(Y_t)\\,\\textrm{ is not equivalent to }\\,E(Y_t|Y_{t-1},Y_{t-2},\\dots)$$\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Variance and (Auto-)Covariance in Time Series\n", "\n", "- The variance of $Y_t$ is given by\n", "\n", "$$\\textrm{Var}(Y_t)=E\\left[(y_t-\\mu_t)^2\\right]$$\n", "\n", "- Here $\\mu_t=E(Y_t)$ is just shorthand" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "- The covariance between $Y_t$ and $Y_{t-k}$ is given by\n", "\n", "$$\\textrm{Cov}(Y_t,T_{t-k})=E\\left[(y_t-\\mu_t)(y_{t-k}-\\mu_{t-k})\\right]$$\n", "\n", "- Together, the variance and covariance make up the first two *moments* of the time series.\n", "- Both can be defined using an integral, but also via the \"multiverses\" thought experiment." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Variance Covariance Matrix\n", "\n", "It is often convenient to put all variances and covariances into a matrix\n", "\n", "$$\\textrm{Var-Cov}(\\mathbf{Y})=\\begin{bmatrix}\\textrm{Var}(Y_1) & \\textrm{Cov}(Y_1,Y_2) &\\cdots& \\textrm{Cov}(Y_1,Y_T) \\\\ \\textrm{Cov}(Y_1,Y_2)&\\textrm{Var}(Y_2) &\\cdots& \\textrm{Cov}(Y_2,Y_T)\\\\\\vdots&\\vdots&\\ddots&\\vdots \\\\\\textrm{Cov}(Y_1,Y_T)&\\textrm{Cov}(Y_2,Y_T) &\\cdots& \\textrm{Var}(Y_T)\\end{bmatrix}$$\n", "\n", "This is called the *variance-covariance* matrix." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Autocorrelation function\n", "\n", "- Correlations are covariances divided by square root of variance.\n", "- The correlation as a function of $k$ is known as the **autocorrelation function (ACF)**.\n", "- This gives an indication of the relationship between $Y_t$ and $Y_{t-k}$.\n", "- The autocorrelation function can be estimated from a sample of data." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Partial autocorrelation function\n", "\n", "- A similar concept is partial autocorrelation.\n", "- This is a conditional expectation\n", "\n", "$$E\\left[(Y_{t}-\\mu_t)(Y_{t-k}-\\mu_{t-k})|Y_{t-1},Y_{t-2},\\dots,Y_{t-k+1}\\right]$$\n", "\n", "- This is the \"pure\" effect of $Y_{t-k}$ on $Y_t$ controlling for all intervening observations.\n", "- It can be understood by analogy to a regression model." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Weak Stationarity \n", "\n", "If the following properties hold:\n", "\n", " - $E(Y_t)=\\mu$: Expected value not a function of time\n", " - $V(Y_t)=\\sigma^2$: Variance not a function of time\n", " - $V(Y_t,Y_{t-k})=\\gamma_k$: Covariance not a function of time (It can be a function of $k$)\n", "\n", "Then a series is *weakly (or covariance) stationary*" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## Strong stationarity\n", "\n", "\n", "If the following property holds:\n", "\n", "$$f(Y_{t},Y_{t+{j_1}},Y_{t+{j_1}},\\dots,Y_{t+{j_n}}) \\textrm{ only depends on } (j_1,j_2,\\dots,j_n) \\textrm { and not on time}$$\n", " \n", "Then a series is *strongly stationary*\n", "\n", "- Strong stationarity always implies weak stationarity.\n", "- The reverse is true for Gaussian distributions but not in general." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Examples\n", "\n", "Consider two processes: \n", "\n", "- $Y_t=0.2\\times t+\\epsilon_t$\n", "\n", "- $Y_t=\\sum\\limits_{i=1}^t\\epsilon_i$\n", "\n", "In both cases $\\epsilon_t\\overset{i.i.d}\\sim N(0,\\sigma^2)$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Example 1\n", "\n", "For the first process\n", "\n", "$$\\begin{aligned}E(Y_t)&=E(0.2t+\\epsilon_t)\\\\&=E(0.2t)+E(\\epsilon_t)\\\\&=0.2t+0=0.2t\\end{aligned}$$\n", "\n", "Expected value depends on time. The series is nonstationary\n", "\n", "Your turn: does the variance depend on time?" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Example 2\n", "\n", "For the second process:\n", "\n", "$$\\begin{aligned}E(Y_t)&=E\\left(\\sum\\limits_{i=1}^t\\epsilon_i\\right)\\\\&=\\sum\\limits_{i=1}^tE(\\epsilon_i)\\\\&=\\sum\\limits_{i=1}^t0=0\\end{aligned}$$\n", "\n", "Your turn: does the variance depend on time? Is this stationary or nonstationary?" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Simulation: Example 1" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "cell_style": "center", "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/plain": [ "array([[ 1.99181191, 0.74873099, 0.76237771, ..., 40.66073836,\n", " 40.0212313 , 41.0014318 ],\n", " [ 0.39736702, 1.91180765, 0.90328169, ..., 40.89142876,\n", " 40.656141 , 38.17984535],\n", " [-1.98823551, 0.49968108, 2.86359707, ..., 39.80940666,\n", " 39.47742127, 37.98607156],\n", " ...,\n", " [ 0.16828452, 0.24859632, -0.81146117, ..., 38.99058873,\n", " 39.83864486, 41.35192786],\n", " [-2.06178154, 0.92476329, 0.06123239, ..., 41.06975236,\n", " 38.93200457, 40.01663883],\n", " [-0.27183388, -1.55051855, 0.17579591, ..., 39.6672071 ,\n", " 40.98419272, 41.60796254]])" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import numpy as np\n", "T=200\n", "I=8\n", "y_ex1 = np.random.standard_normal((I,T)) \n", "trend = 0.2*(np.arange(0,T)+1)\n", "for i in range(I):\n", " y_ex1[i,] = y_ex1[i,] + trend\n", " \n", "y_ex1" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Plots: Example 1" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "cell_style": "center", "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt \n", "fig, ax = plt.subplots(figsize=(25, 6))\n", "for i in range(I):\n", " #ax = f.add_subplot(I/2, 2, i + 1)\n", " ax.plot(range(1,T+1),y_ex1[i,])\n", " ax.axhline(y=0,color='red')\n", " ax.axvline(x=T,color='black')\n", " ax.axvline(x=1,color='black')" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Simulation: Example 2" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "cell_style": "center", "slideshow": { "slide_type": "fragment" } }, "outputs": [], "source": [ "y_ex2 = np.random.standard_normal((I,T)) \n", "y_ex2 = np.cumsum(y_ex2,1)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Plots: Example 2" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "cell_style": "center", "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": 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8EXQ+CzT0g1QQBEEQhLOH3+Nh0RcT2Pn7chKbtkChVFJRkIvX+W+QQmc0cdFNd9Dmwn71OFJBEISznyzLlH2aSaDSTcIj3Y47oCkHJRyrC3FtKcOf7wBAHW88GICWAxLOtcW4t5Qh+yU0iSZM3RMwtI9FDkhINh9Bm5egzUfQ7kNy+DF0iEWfEVHnr7Vi8g68OTYSn+yOQnX667i6d1VS8e12LAPSsfRNRQ5K2BbnYl+ehzpKT9TIlmhTw5AlGfe2cuzL8vAXOVGF6zB0jMWxMh9jpziirjlqO6uzgjcri4JHH8W7Yyfhw4cR//gTqMxnb4awLMt4tmyh8vsfsC1YAH4/+rZtUZrNoZINGg0KrTZ0r1Yje71IbvffNxeyK/RvdXw8pvPPw3z++ejbtg2VdTjRMUnSGVmvWJZlip9/gepp04h98EFi7rqzvodU5xyrfifvrrsw9ehB6mefotAce/bIkTT0eJ4IOp8FGvpBKgiCIAjC2aGysIA5b79CRUEe540YTc8h16JQKpFlGZe1mor8PCoKctmxcikV+Xnc/M4nhEXH1PewBUEQzlrunRVUTNxBxNVNMfdMPKltBao9uLdX4N5WgW+/Ff4+/VRolRg7xGHqnoAmxVxvM1X+CfpGX98KQ5vT+7dDDkiUvLsBFAriH+yMQv1vMNC7z0rltN0E7T5MPRLwZlUTKHOjjjEQ1jcVY8dYFGol1kUHsC/JJXJEc0xd4k/r+OuK5PVSNfl7yj74AKXRSOJLLxLWv399D6tOBcrLqZo+Hff69Ug+H7LPj+z3I/t8oVsggFKrDdUSNhhCN6MBhd6Ab/9+PNu2gSyjDA/H1KtXKAjduzeahIRa7T9ot1MwdiySy02jyZNQqE+63VqdkWWZ0vFvUPntt0TfcQdxDz9U30M6ZapnzqLoqacIHzKExFdfOeHPvYYezxNB57NAQz9IBUEQBEE48+1Z8wcLP3kPpVrDFQ88Qnr7I0+xtZYW8+24e0nv0Jmr/vfUaRylIAjCuUOWZEre3whBmfiHOtdp9m/Q4cOzM9R2ydA+BqWu/gNfclCm6PW1aFPMxNzY5rTu27YsD9vC/cTc0hZ988ObjUkuP1U/ZeHOLEeTaCLsolQMbWNQKP8NVMmSTPmXW/Hl2Ym7v1OdN3A8lSSvl+oZP1Lx+ecESksxX3ghiS+/hDr26PWsG6JAVRWuP//E8fsfOP/4I1QzWK0m/rHHiBxz3VGDl4GKCnJvvx3vzl0gy8Q/+wxRo0efxtGDHAzi/P13PDt3EigrJ1D+z62MYFk5kstF5JgxxD/15DlfKq1swkeUT5hAzD33EPvA/Se0jYYezzta0Ln+/6oIgiAIgiAIZ7RgIMCqKRPZ8MtsEpu2YNBDj2GJOXodz/C4BHoOG8nvUyaSvWENGV16nKbRCoIgnDtcm0oJlLiIGt2yzstNqMxaTN1ql5l5uihUCkyd47Cvyido96EKOz1N+QLVXuxLc9G3ia4x4AygNGqIGtUSaZAfZZimxmCcQqkgamQLSt7fRMX3O4m7t+MZX99Z8nqp/vFHKj7/gkBJCYauXUh64w2MPbqf8wHHE6WOjMRy+eVYLr8cWZbxZWVR+s67lLzyCu6tmSS+8AJKg+Gw9fwFBeTeehv+4mJSP/uUiq+/oez9D7AMHIg6subjri4FrVaqZ86i6ocf8OfnA6C0WFDHxKCOicHQpi3q2Bh0zZoRPnRog/j5x9x7D/6iQso//hh1YgKRI0bU95DOKSLoLAiCIAhCrciSfEg2j9AwyLLMr++/wd61q+l42SD63nArKnXt6t51HTSEnauWseTrT0lr0wGNXn+KR9uwVHmqkJGJ0kfV91AEQTgF5ICEbdEBNMmhBoANhbFrPPYV+bg2lRLWJ+W07NM6bx+yDBFXHL2BoUKhQGU5eiBcZdERdW0Lyr/ehvWXfUQObVaXQ60zsiRRPW0a5Z9+Fgo2d+lC0vjXMfbo0SCCjXVFoVCga9aMlI8mUPHZZ5R98CHe3XtI+fADtGn/Nv307ttH7i23IjmdpH39FcbOnVEnJJAzZChlH3xA4nPPnbIxevbsoWry91jnzkV2uzF07ULc/8Zh7tsXZQP/bqZQKEh8/nkCJaUUP/8Cmvh4zH361PewzhlnXsVyQRAEQRDOKJIviHXhfgqfX41tWW6DnTrWUG1fvpi9a1fTe/RN9LvlrloHnAFUajWX3H4f9vIyVv/4wykcZcMTlILcsvAWrph1BYsPLK7v4QiCcAo4/ioiWO0lfEB6g7roq4k1ok0Lw7muGFk69d85PFnVuDPLsfRNQR1VNwE4ffNIwvqm4lxbjGtzaZ1ss65VT59O8QsvoklOJu2br2k0eRKmnj1FwPkEKZRKYu6+m9TPP8NfXEzOsOHYly0DwL11GweuG4McCNBo0ncYO3cGQN+8OZGjRlE9bTqeXbvqfEye3Xs4cNPN5Ay+CuvPP2O54nIaz55F+uTJWAYMaPAB538oNBqS33sPXYvm5D/4EO4tW2q9rr+g4BSO7Owngs6CIAiCINRIlkOd2Uve3oB9WR6qSD22hQewzt13Wk4ChfpnLS1h2cTPSW3djm5XDj3kOVmW8WRVYV10gIDVe8RtJLdsTbuLL2XDrz9RdiDnVA/5mKRgEHtlOdbSYioK8ig7kENx1h4Kdu2gPHd/fQ+v1n478BtZ1VmEacN4aPlDjF87Hn/QX9/DEgShjgSdfuzLctE1jUDf7NRPuz/TmM9PJlDmxrZwf63XCVq9BCrcx7UfOShRPScbVZSesAvrNqvackkjtI0sVM3Kwl9+fOM61YIOB2UffIixWzcafT8ZU69eIthcR8y9e9N45o9oUlPIv/seip55ltwbb0RpNJL+/WT0LVsesnzs/fehslgoefmVOkvskHw+yj74kJxhw/Du2UPsuIdpunwZSS+/jL5VqzrZx7lGZTaR+umnqCMi2H/tSPaPGUPVtOkErdbDlpUlCceqVeTdfQ9Z/S+ph9GePUQjwTNEQy88LgiCIJw4z54qvPuq0WVEoEsPR6E5+WvK/jIX1XOy8e6tRpNgJOKqpmgbWbDOy8HxewGG9jFEXdPikM7uwrlFliSmv/gkpfuzufHNj7DExv39uIxnRwW25Xn48x0AKHQqIq5ogrFbfI0nrW67jW8euouIhERGvfgmCmX9HDdZ69ew7NvPsZWVHHGZC0beQI8h15zGUR2/oBRk2JxhAEy7chrvbXiPyTsn0y6mHW9d+BZJ5qR6HqEgCCcj6PBR/uVW/OVu4u7uiDbZXN9DqhdVs/fiXFNM1OiWGNsfvZmdv9RF2WeZSC4/hnYxWC5OQ5NgOuY+7KsKsP66j+gbWmNoHV1XQz8oUO2l9IONKPRqjB1i0TayoEsLQ2ms/ayhU6H07Xeo+OIL0n/8EUPb09uw8ViCTj/e7ND3WpWpft+nkyF5PBS/8CLW2bPRNs0g7auv0MTH17hs1dRpFD//PMnvvI3l8stPar/uzZspfPppfFnZhF81mLjHHz8t9aLPFYGyMqpnzsI6Zw6+fftQaDSY+/bFMvhKjB07Yp37C1VTp+LPzUUVHU3EiOHEP/QQ0HDjeUdrJCiCzmcIEXQWBEEQToTkCVD85jokZyD0gFqJrrEFfbNIdM0i0SQYjytzJej041hVgH1VPgq1EssljTD3SkKh+vfvlGNlAdb5OeiaRhB9faszotu9UPfW/zKbFZO+4rK7H6Rt3/7IQQnX5jLsK/IIlLpRResJ65OCLt1C9c/ZePdZ0TWNIHJosxqnJ29fsYQFH79L/9vupcMlA0/ra7GWFrP0m8/Yt3Ed0SlpdLz0CjR6PSq1GpVag1KtRqXRsH35Ynb9sYKew0Zy3oijd5+vTwtyFvDIykd4o88bDGwcei8XHVjEs388i1Kh5LXer9EnRdQjFISzUdDuo+zLrQQqPMTc2LpBZjn/Qw5IlH2xFX+hg9h7OqJNrDmIHKhwU/pZJkgyxo5xONcWI/uC6FtHY7k4FW1K2L/blGUCpS7cOyrx7KzAl2dH3zyS6JvanLLPfE92Ndb5OfgLHSCFHlPHGdCmWdA1DsfYMe7g96zTwZdfwL7LL8cycABJ48eftv0eTaDcjXtHBe4dFfgO2EAGXdMIYm5te8b+La4NWZZxrV2HvlVLVBbLkZcLBskZPoJgVRUZ835FaTTWuJzkdiMHJZSmw7/fSy4XZe+/T+V3k1AnJJD4wvOiNvFJkGUZz/YdWOf8jO3XeQQrKg4+Z+jShchRo7BcegkKrbbBx/NE0Pks0NAPUkEQBOHEWOfnYF+RT+wd7ZF8Qbx7q/DsrSZQ6gJAadagTQ1DmxKGNsWMJiXskKwRyRvAm2PDm1WNN7saf7ETZDB2jiN8YOMjdo13biihauYeNIlmYm5qc9q6ywunR3neASY/8SDpHbpw1f+ewr21HOuvOQStXjQJJsIuSsHQNvbfixGSjHNtMdZ5OYBM+IDGmHomHlKDVJZlZrz4JKUH9nHzO59iijj1gZSAz8e6uTNZO3sGCqWSXiNG03ngYFTqmi+USFKQRZ9PYNuyRXQbPIzeo286oZPdcnc5K/NXEpACaJQa1Er1vzeFGnfATaWnkkpPJVXeKirdofsYQwwvn/8yRk3NJ5sAkiwx9OehyMjMGjwLlVJ18Lk8Wx7jVoxjZ+VObm5zM3d2uBOT5tiZfoJwNpI8AeSgDLIMMiDJyLKMQqk8ZqO3M1XQ5qPsi0yC1V6ib2yDvmlEfQ+p3gVtPkombEKhVhJ3b8fDMl8D1R7KPs1E9gWJvaM9mgQTksuP/Y9CHH8UInsC6FtEYuwcjy/XhntnJcFKDwCaFDOGllGYz0s6LZnHki+IL8+OL9eG74Ad7wEbsjtA2MWphF+afsr3/4+Ccf/DvngxGQvmo0lMPG37/f8CVR6ca4txb684+L1Vk2BC3zrUHNe+NI+IIU0x96i/MZ5Org0bOHDdGGLuuZvYBx445Dl/QQEV306k+scfkd1uFDodqqgo1FFRf99H4tqwEX9+PpGjRxH78MOozA1zhsSpIAcCOP/8E/eWTML69zusREpDj+eJoPNZoKEfpIIgCMLxC1R6KH5nPcZ2sURd2+LQ56xevHtDgWRfvp1A2b+1BFVRerRJJoI2H758eyjrRq1Al2ZBlxGBvmVUrabyundVUvn9TpQWLbG3tEUdbajrlyjUg2DAzw9P/Q97ZTk3vfURivwAFZN3okkyY7mkEfoWkUcMxAaqPVTNysK7pwptuoWoa1ugjvw367miII/vHrmfZt17ccXYR09p9tL+LRtZ8vUnVBcX0bxXb/pefyth0THHXE+WJJZ8/SlbFs2j08AruejGO2o1TlmW2Vi6kWm7p7HowCICUuCY66gUKiJ0EUTqI4nUR7K+eD2XN7mc1y547Yj7XLB/AY+seITxvcdzeZPDp+B6g17Grx3PjD0zsGgtXNfqOka3HE2EPuKY4xGEs4HkDVA5dTeenZVHXMbQPoaIwRmozGdP8Dlo9VL2xVaCNi8xN7VB1ySivod0xvDm2ij7LBNdk3Bibmp78IJn0Oal9LNMJKef2NvbH/bdRfIEcPxZhOP3/NCMMLUSfdMI9K2iMLSKQmXR1cfLOUiWZCqn7MKzu4qER7ueluPVnZnJ/muuJfruu4gbO/aU768mgWov9mW5ONeXgCyjSw9H3zoaQ+vogzOlZFmm/Ktt+HLtxD/U+ZDvEueygnH/w75oEU3m/Yo2JQXPrl1UfPU1tnnzQKEg/Ior0DVvRqCikmBlJYGqSoJ//1sZHk7Ck09g7Natvl9Gg9PQ43ki6HwWaOgHqSAIgnD8Kqbswr29goT/dUUdcfQTJ8kTwFfgwJ9vx5fvwFfoQGXUoGsagS4jHF0jCwqN6qjbqIk310bFt9tRheuIu7/TIZmtwtnpj+mT+WvmVAaPe5K0mNaUfb0NbaKZmNvbodQe+xiRZRnXxtJQY6YIHXH3djxkvb9mTuWP6ZPpPfomul81/JS8ht1/ruKX98YTmZjMxbfcRXr7Tse1vizLLP/uSzbO+5n2/QfQ/9Z7jliH2ul38kv2L0zdPTXU2E8TxlVNr2JIsyFE6CIISIGDN7/kJyAHMKgNROmisOgsKBX/bvfTLZ/y0eaPeKbnM1zT4vC60pIsMWzOMIJykNmDZx+S5fz/bS3bypdbv2Rp3lIMagPXNL+GG9rcQJwx7rjeC0E4kwSqPFRM3I6/1EVY7xSUFm3o745CAcrQOVWg0oN9ZT5KvZqIqzKOWQv4TBCo9lL2RSaS3U/MLW3QpYfX95DOOM51xVTN3Iu5TwoRlzcm6PBR9lkmQauPmNvaoks7cukCyRfEX+BAk2yu1d+x08lf6qLk3Q2YL0gm4oomp3Rfsixz4Lox+HJzyViwAJW5bmfCSJ4ACrXyiP0+glYvtuV5ONcWA2DqlkDYRamow2v+Dhuo8lDy7ka0aWFnfZmN2vIXF5M98HIM7dqh0OlwrlqF0mgk4ppriLrxhnrNTBeOrKHH844WdBZFGAVBEAThLOTLs+PeUhb6sn6MgDOAUq9GnxGBPiOiTsehS7MQcWUGldN2495ahrGDCGidzYr27mbN7Om0ubAfjVLaU/ZZJupIPdE3tan1ibpCocDUJR6VRUv519uomrWXqGtbHPxC3mPINZTn57Lqh28Jj4unRa/edfoaCvfsYv5H75DUojUjnn4Ztfb4M8cUCgV9b7gNtVbL2p9mEPQHuPSu+1H+vyDv1F1TeXfDu7gCLlpFteKF815gQPqAo5bHOJo72t/B5tLNvL72ddrGtKV1dOtDnl90YBFZ1Vm83vv1owacAdrFtuP9i99nb9Vevtr2FZN2TuKHXT9wddOreaDTAyLzWTjreHNtVHy3AzkgEXNz26PWOjZ2iKVyxh4qf9iFe2s5EVeduVnPgQo3ZV9tQ3L6ibm1LbpGRw6eNmSmbgn4Chw4VuajjtLh/KuYYLWXmJuPHnAGUGpV6BqfmYF8TZwRY6c4HH8WEdY7+ZRmX9t/W4R740YSXnyhzgPOjjVFVP+cBTKoIvWoo/WoYwyhW7QB794qHGuKQAJT13jCLk5FHXH07GV1pJ7wKxpTPTsL59riBlFmQ5OQQMydd1D23vuooqOJffBBIkeNRBV+Zh6/gnAsItP5DNHQr4wIgiAItSfLMmWfZRIod5PwSNd6b+QnSzKlH2xE8kskPNwFharmDBfhzOasrmLa848R8PkZ89TbVH+zB4VKQezdHY55YngktqW52H47QMRVGZh7JR18PODzMePlpynZt5cRT79CcsvWR9lK7VlLS/jh6XGkmlrStclANNHGUFPN5pFHzKQ6GlmW+WvmVFbP+J6EjGacf+31NGrfCYVCwey9s3l29bOcn3Q+93S8h3Yx7eokC6vKU8WIuSNQK9VMGzSNcF3oRPOfLOeAFOCnq346ZtD5/8uz5fHN9m+YvXc2VzW9iufPe/6kxyoIdUGWZQJlbtRR+iNmSLq2lFI5Yw8qi46Ym9qgiTv2hR05KGNflY9t0QGUOhURV2VgaB97xmRLygEJ+8p87MvyQKUg9tZ2aFPDjr1iAyYHJMq+3Ipvvw3UCmJubHNONFoMVLgpfnsDph4JRF7V9JTsQ/L52HfFIJR6PY1/mo1CVTcZ37IsY1uci31JLrrmkWhTwwiUuw/eZG8wtKASjJ3jsVycVmOz4aNt/2CZjQc7H9e6Zys5GMS1Zg2Gzp1R6s/913suaOjxPFFe4yzQ0A9SQRAEofbc28qpmLzzjGqu4t5ZQcXEHWfUmITaK887wOzxL+CyWRk29jlUS73I7gCxd7ZHE3/i2VCyJFPx3Q48e6uIvbP9IdloLpuVqc8+gtvhYPTLbxGZkHSULR2b1+Vk4bNv0URuS4QmDnWMAckbQLL7AVDHGdE3i0DXPBJ9kwgUmtpfHNmxahm/T/0Oe3kZKa3aor+oNc8eeJueiT2ZcPEENKq6bUC1uXQzNy+4md4pvXn/ovdRKBT8tv83xq0Yx2u9X2NQk0EnvO0nVz3JsrxlLLtmGXq1OJkV6p9razmV3+8EtQJtqgVdYwu6xuFo0ywotMqDAS1tuoXo61sf1kjuWPwlTip/3Is/z475/CQirsw46THLQRmQT/giq3tXJda52QQqPBjaRBM+qEmDqVl7soJ2H1Uz92LqlYihRVR9D6fOVM3ei3N9CQnjup6SwGrFN99SOn48qV9+ifmC8+tkm3JQpvrnUBaysUs8kUObHvI7IcsyktNPoNyNyqI74dcVqPJQ8t5GtKkNp8yGcHZp6PE8EXQ+CzT0g1QQBEGoHTkgUfLuBlApiR/b+WAznfomyzJln2YSqPSEsq/PsJqJwpEdyNzM3HdfQ63VctWDT6Nc5CRQ5ibm9nbHnLJcG5LLT8mHm0CSibu/0yFT3KuKC/nh6f+hN5kY9dJbGC0nNn3Uk1tN1mfLiAjGIJsURF3RDGPHOFBAoMSFZ08Vnr1VeHNsEJDQJJmIu7vjcQWeA34/W5csYNXM7/HbHFiT1dxy50ukt2h3QmM+lkk7JvHGujcY12UcN7S5geFzh+MP+k8oy/m//ir6i9t/u503+rzBwMYD63DEgnBiyr/bgS/XhrFjHN79VvwFDpABZWiafrDCg7FzHJFDmx0xE/pY5KBM9ZwsnGuKibm93UmVmpJ8Qcq/3Eqgykvk0KYYWkXXet1ApYfqudl4dlaijjUQcWUG+uZnf6aucPICVi/Fb67D2DGOqOHN63bbVVVkXzYAQ4cOpH3xeZ1sU/YHqfhhF56dlYRdlIrl0kanNBjsWFNE9ewsIq5uirln3SQ3ePZW4StwEHZhighkCyelocfzRE1nQRAEQThHOP4qIlDhIfrmNmdMwBlCX7bCB6RT9lkmzj8LCbswtb6HdEJkWW5QJx5bl/7G4i8/IiophaseeArf/HJ8xS6ib2xdJwFnAKVRQ/SY1pR+spnKabuJubntwYaTkQlJXP3IM8x46Ul+fuuVw2owO6oqKc7eS8m+LPQmM407dSEyMfngzyhg9WKdl4N7SxmGoBFXax/Nrr/okMCUJsGEJsGEomcEm3NXU7wui4u2tCNr1jqaXtO91j9vtUaDtlsTppXup1NBHC2z9Mx89gmSWrQmPC4eU0Qk5shozFFRmCIiCYuOwRIbf8LH05hWY9hUuon3Nr5HubucvVV7efWCV08q4AzQPaE7CaYEfs7+WQSdhXoneQJ49lRi7p5IxKAmBx/z5drx5ljx5dkx90zCfEHSSX02K1QKwq9ogiermupZe4l/sPMJNc+VJZmq6bvx5dlRRxuomLgDY5d4IgY1QWk48ql10O7DsboQ+6oCFEoIH5iO+fzkEw6iC+cedbgOc49EHH8WEnZhCprYE+sNUJOyd99DcjiIf/SROtme5PJTPjF0sShicAbm805uplJtmLon4N5WjnVeDvrmkSeVDS7LMo6VBVgX5IRqUBs1mLon1OFoBUH4h8h0PkM09CsjgiAIwrFJLj/Fb61Hk2Q+Y6cXln+zDW+uncRHux31BPxM5PO4+fHlp9HodFwx9rETzro9lr1Ve/lkyyfc2/FeMiJOfpr3iZAlid+nfsfan3+kUbtOXHLJnTgX5iF5g0SNaB7KEq5jznXFVM3cS9jFqYRfmn7Ic7tXreKvLybTuHkX9C0iKTqwm+LsvTgqK0ILKBTw93ek8Lh40jt0ISOuE9qNMkFfgJ2Vf2I8P5He199wyHbzbHmsyF/B8vzlbCjZQEAKYNFauD7/cgZV9OHTlrNp1aMLg5oMOlg7uSZyQGK/Yz83LrgJo8bIxAETiVCEsXH+z+zfvBFndSWOqkqCfv8h6xnDI0hp3Y7Uv29Ryf9mU8mSREVBHoW7d1KweweFu3cSCPgZ+fx4wuPiAbD77Iz8ZSS59lzSLenMvmo2auXJ/159sPEDvtr2FYuGLyLOKJp/CvXHuamUqmm7ib27w2lpoOfJqqb8y62YL0whYmDj417fOj8H+4p8wq9ojLlXEraludiX56Eya4kc1gz9/yv34M214VxdiGtrOQRlDB1iCb+88QnVmBfOfUG7j+I31qFvHU30qJZ1sk3bvHkUPDyOqFtuqZOgs7/MRcWkHQQqPESNbIGxXWwdjLJ2AtUeSt7diCpMi7FrPIY20ccdnJf9QapmZeHaVIqhXQyS048v30H82E6oow2naOTCua6hx/NEeY2zQEM/SAVBEISjk7xBrAtycP5VRNz9ndAmmet7SDXyFToo/WATYRelEn5Zen0Pp9ZkSWLOO6+SvX4tSrUKc2QUVz/6LDGpjep0Py6/i5G/jiTHmkOYJoy3+75Nr6RedbqPmsiyTMDrxe2w4bbbWfvzj+z5cxWd+15JW/15eHdXo00NI3J4s5Oq4XwslT/uwbW+hPArm0BAwlfoxF/oIFDuDk2nBzxBJ9nBTAKNFCQ0bUZ8RjPi0zNw2arJ2byR/Zs2EpEXTlNzRyp9xawu+ZntMQWs6lyFVq1Fp9KhU+mQkSl1lQKQEZ5Bn9Q+XJhyIR1iO+DxuCn4cB2yw88d6S/i0nm5LP0yBjUZRLwxHqPGiFljxqgx4s+xU/bdNpaGreGrlJ/5buB3NLIcflzIsozH6cBZFQpAW0uKKdi9g7wdW3FUlAN/B6FbtsHv81K0ZxcepwMAgyWc5BatyNu+lbCYWEa99CZafejkd3flbu5Zcg9Pdn+Sfo361cnPIceaw+CfBvNwl4e5ue3NdbJNQTgR5d9ux1/kIOGx7gdnQJxqVTP34txQTNw9HdGm1L5xn3NtMVWz9mLqkUDE1U0Pnr/58u1UTt9DoNSFsWs84QPS8eypwrG6EH++A4VOhalLPKZeiXWavSqcm6wLQhc24sd2RpNwcn+Pffv3kzNsOLpmzWg06TsUmhPvP+Avc2FfmodrcykKrYroG1qfVJmaE+XeVYlt0YFQGR5C/RoMbaJDAehk81ETMoJWL+WTduDPd2C5pBFhF6cStHopeXcjmkQTsXe0P22fQ8K5paHH80TQ+SzQ0A9SQRAEITRt11/kxJdrI1DlIVjl/fveg+QMAGDsGl/ntf7qWsWUXXh2VJDwaDdUYdpjr3AGWDVlImt/msFFN95OYrOW/PzWy/i9XgaNfZTGnWr8DnVCnl/9PLP2zuKl81/i2+3fst+6n2d6PcPQZkPrZPtel5PirL0UZe2mOHsPttIS3A47brvt0CxchYIB/e4mIj8CJBnLpemYz0865Sdbsj9I6cdb8Bc5AVBF6NAkmdEmmdAkm3E6qgistRHIc6JJMBF+ZZNDTmr9pS4qp+zCX+TEkeHn3exXiFNHkXx1X3zKIL6gD0/Qgy/owy/5aRvTlj7JfUi1HF7uxV/ipOTDzQRSVExqv4hf9/+K0+88ZJke9nY8UXAbQUUQo6THPcBMs76dju81yzLW0hLydmSSv30r+bt2oNZqSW7RiqQWrUlu0YqIhFDpgP1bNjLrtedp0qU7V417EoVSeXAbdT2z4bp51+Hyu5g1eNYZOWtCOPdJ7gCFL/+FuVfSwdIap2u/xe9sQGXWEHdfx1o1A/RkVVH+9XZ0GeHE3NT2sPJWsl/CtuQA9hX5fz8A6lgD5vOSMHaOQ6k7u2b+CPVHcvkpGr8OXdMIYq5vfeLb8XjYP3IUgaIiGv80G03iidVB9pc4sS3Nw51ZhkKtxNQzkbA+KfX+/S5Q7cG9vQLP9gq8OdZQmYxwLdrG4egaWdCmWUKltf7+XfXm2qiYtBPZGyTq2uYY2sQc3JZzQwlVM/YQfnljwvqk1NdLEs5iDT2eJ4LOZ4GGfpAKgiA0RLIsE6z04MmqxptVjTe7GskVCi6jVqCO1KOK1KOO1P19r8fQJvqMrwEZKHdT/M4GTD0SiLyqaX0P55h2rFzK/I/eoX2/AfS//V4UCgW28jJ+evMlyg/sp+8Nt9Jp4OCTDsz9tv83xq0Yx61tb+XBLg/i8Dn434r/8UfhH9za9lYe6PwASsXx/WwlKciOlcvI37mN4qw9VBTkHSxDEZWUQmRSMoYwC3pz2MF7YzAM4241UoEXXUY4kUObndYppUGnH39xKKisMh2edSXLMu6tobqNwWov+jbRRFzeGG+Oleqfs1FolUQOb879eY+xo3wHP1/9M7HGE5ve6/iriOqfsgi/ogmqnpFsLN2I3WfH6Xdi2aWg5Z+xVEY4WdRjC8N3XoimIEjc3R3RJp+6mQYb589h2bef02PINVww8oZjr3CCpu+ezkt/vcTUQVNpE93miMs5/U5+2PkD6eHpdIrrRIwh5ojLCsLxcK4voerHPcTe06HOasjXlntbORWTd2K5LB3LRUfvQeAvcVL6yRZU4Tri7u6AUn/kALI314Z7cxn6VlHomkaICzrCCbEtPoBtcS5x9x1fNv5/FT37HNXTp5P62aeYL7zwuNf3lzixLcnFvbUchUaJuVcS5t7JhzQDPlMEnX48Oyvx7K7Ee8CGZPMBoNAo0aaGoY4z4lxfjMqiI+aG1odlkMuyTMWknXh2VxL/QKdTOuNLODc19HieCDqfBRr6QSoIgnC6OVYX4smqJvKqDFQnWVvRX+zEV+DA2DmuVieYsixjX5GPc00RwSovEMrO0DWNRNc0Al3jcFQW7Vk9xa9q9l6c60pIGNfljK6RV7B7JzNefIKk5q0Y9tRLqNT/BhN8HjfzJ7xN1rq/aN9vABffctchzx+PQkchw+cOJ92SzsSBE9EoQ8HWgBTg1TWvMmPPDC5tdCmvXPAKenXtmuPIssziLz8ic/ECDGEWEpu1IKFpcxKbhu71pn8Do3JQxr2jAscfBfj221DoVURc3gRjtxNvdHeqyX4J++/52JflIfslkEHXJJyokS2YV/YbT/7+JE/3eJprW1574vv4z4lm3D3/BpPtK/OxzstB1yyC6DGtUepUBB0+Sj/cDEqIv78TSuOJT1M+1pgWfTGBrUsWcvl942jV+6JTsh+r18rF0y9mePPhPNHjiSMu98wfz/BT1k8H/58WlkanuE50ie9Cp7hONLI0OmOPIeHMVv7NNvylLhIe7VYvx1DF5B24d1WGyhgcoexF0OGj9KPNyH6JuHs7oo488eZlglBbkidA8RvrUBjUhF+WjqFtzHF9J7TO/YXCRx4h+vbbiBs37rj379pSRuWM3ShUSsznJWG+ILnGi8RnIlmWCVZ78eXa8B2w48214S90hr4/jGp5xNcRdPhC9aLDtcTd0/GMT/AQziwNPZ4ngs5ngYZ+kAqCIJxOkjdI0WtrkD1BlCYNUde2QN888oS25dxQQtXsLAhImC9MIXxA+jFPnv/JYNE1jcDQJhpd0wjUMYZzKnATtHkpfnM9hrYxRF3bor6HUyNbWSmTn3wIndHI6FfewWA+PJvovw330tp2YMhjz6HWHl+WT0AKcMvCW9hTtYcZV84gNezQrDpZlvlux3e8vf5t2sW04+2+b5NgOnYX9T9/nMLqGd/T7arh9B51Y43Hj+Ty41xXguPPQoLVXlSROsznJWPqFn/UbL0zSdDmxbY0D3WkDnPvFGx+G4N/GkyKOYVJl0867uzww7bv9FPy/kaUOhVx93fCtiQXx4p8DO1jiLqmxSEnnr48O6WfbkGXEUHMTW1O2YWhYMDPj688Q9He3Vz73OskNjv8d0iWJIqz92IIsxCRcGLTpsctH8fa4rUsHbEUjerwE/Hlecu5f+n93Nz2Zvqn9WdT6SY2lGxgU+kmqr3VAJyXdB5v9HnjqI0Y/8vncR+sVy00XEGnn6JX1mDunXxCDf3qZAx2H8Vvb0CTYDyslmug0oM3uxrH6kIC5W5i72iPNvXEMk4F4UR4sqqpnpNFoNSNJsGIpX8j9G2ij/ld0btvHznDR6Bv1YpGE79FcRwXy2VZxr40D9uiA2jTLUSPaXVGZjYfLzkoH1YSpyb/zICoqeGxIBxNQ4/niaDzWaChH6SCIAink+PPQqp/ziZyeDPsqwoIlLoI65uKpX+jWn0pBZADEtVzs3GuKUbXJBxVlB7X+pJjflG1r8rH+msOxi7xRA5rdlZnMx+LdX6oGY75guRQMP4MyhrxuV1MefZR7OVljH7lbaKSjl7Db+uy3/jt0w/ocMlA+t9273Ht6+PNH/PJlk94rfdrDGoy6IjLLTmwhMdXPU5QDnJlxpXc2OZGmoTXXOc0c/ECFn0xgTYX9uOyux887CRUlmXsS3Kxr8hH9ktoG4cTdkES+lbRZ/0x9/zq5/kp6yemDZpGi6i6uaDhyaqi/KttqCJ0BKu8mHomEjE4o8b3yrGmiOrZWYT1SyP8ksMbCgYqPdhX5OHeXkHMTW1OeGq0y2blh6ceJuDzcd2r7xIWHUMw4Cdv+1ay1v1J1vo1OKsqMYZHcOObEzCGRxz3Plbmr+TeJffy3kXv0S/t0CaFVZ4qhvw8hGhDNFOumIJW9W/gQZZlcmw5rMhbwYebPiTRlMiHF39Ik4ij1+Xduuw3Fn0+gd6jbqTb4GHHPd6T5Zf8rCtah1qpJlwXfvBmUIsg+On2T1O+kykfUCfjWFdM1cy9WAako47Qhcpd7bMSrPQAoDRriBzSDEOb6Hobo9BwyZKMO7MM2+JcAuVuNEkmLJc0Qt8yquYLzW43+6+5lkB5eaiOc3x87fcVkKiatRfXxlKMneJC31HPoO9tp0vl9N24NpeGSmmJC01CLTX0eN7Rgs5nR4qLIAiCINQRWZJxrC5Ek2LG2CUeQ/tYqudkY1+Wh3e/jehRLVFZjp7VEaj2UDF5J/58Ryi7+dJ0UIS+cNiX5qFQKrD0PzwY5VhThPXXHAztY875gDOA5ZJGSL4gjt8L8OZYiRrVEk1M/Qd3goEAv374FhX5uQx94oVjBpwB2l10KZUF+ayfO4ukFq1pXcuSBxtKNvBZ5mcMzhh8MODsdbnYuWoZMamNiG/aDI02VN6lX6N+zIqaxcTtE/kp6ydm7Z3FRakXcUvbW+gY1/HgNveu+5PFX35M405dueSO+2s88XT8XoBtcS6GdjGEXZSKNunU1SA+nTaUbGDm3pnc3ObmOgs4A+ibRmLuk4JjRT5h/dKw9E87YjaZqXsCvgM27Etz0aaGYWgZBYSaHNqX5+HaXAoKBQqlAtuSXGJuPHK95KMxWsK5+tFn+eHp/zF7/AvEpDZi38Z1eF1O1DodjTt2IaVVW1Z+/w0LPnmPIY89d9yzJc5LOo9ofTRzsuYcEnSWZZmX/noJq8/KZ5d8dkjAGUKfdU3Cm9AkvAmd4joxdtlYrpt3HeP7jKdPSp8a97V+7ixWTP4andHEqikTSWzekpSWJ/benIg8ex6Pr3qczLLMw57TqXSEa8O5s8OdXNPimtM2pobMtbUMVbQezSmsj14bxq7xuLaUYVuwHwCFXo0uI5ywC5LRZYSjjjOeU7OQhP9HkmD1+9DofEjtXt+jOYxCqcDYMQ5Du1hcm0uxLcmlYuIONClmzD0SMbSPRalTHVy++JVX8GZlkfr55wcDzpIngHtHBZLTj65JBJpE02HfPyWXn/JJO/HlWLH0TyOs35H/Bp7rIgZn4M22UjltN7F3tT8nMr0FoT6JTOczREO/MiIIgnC6eHZXUv7NdiKvbYGpU9zBx50bSqj+KQuFTkXUNS1CDYBqCAp79lZROWUXclAmakRzDG3/baolSzJVM/fi2lByWHMi56ZSqqbvRt8iiugxrRpU9oh7ewVVM/cgB2Qirs7A1Ln2mTd1zVldxdx3X6dg13b63XI3HS+7otbrBgMBZrz0FCU5WVz3yjvEpB5+YeG/rF4rw+cOR6vUMv3K6Zg0JmRJ4qe3XmbfhrUAKFVq4ptkkNyyDcktWpPUohVGSziVnkqm7JrClF1TsHqtdIrrxF3t7yLNHs7Ml58hplE61zzzKhr94fVF3dsrqJi8I1TaZFTLc+bihj/oZ8TcEbgDbmZfNRujpuYarCdKlmWCFR7UtbgwIvuDlH68hUC1l6hrmuPaWIp7WzkKtRJTj0TCeifjXFeMbXEu8Q92Pqxp0fHI3rCWn998GZ3JREaXHjTt3otG7TsevFixcf5cln37GRfffCedBlx53Nt/c92b/LDrB5aOWEqkPlRm6Nd9v/L4qscZ23kst7W77ZjbKHIUMXbZWHZV7uKhLg9xU5ubDvlu+8e0yayZPY3mPS+g361388PT4wgGAtww/gMMYae+gdyv+37lpb9eQomSR7s/SrI5mWpvNVav9eBtZf5K7H47C4ctRK0UeTmnUtDho+jVNYT1SSV8QHp9D4eg3Yd7WznaNEuNATnhHLbqbVjyImiMMHoaNK75otkhKrLhr0+g9ziwnFhpoxMlByVcG0uxr8wnUOZGoVViaB+LqVsCcqCMnCsGEXXrLcQ9OA7P7kpcW8pw76yEgHRwG0qTBl3TCPRNI9A1i0QOSFR8u51AlYeoEc0xdow7yggaBk9WNeVfbQWFAn3LKEyd40LZ5Q3ou7twfBp6PE+U1zgLNPSDVBAE4XQp+3ob/iIHiY91P+zLo7/EScX3uwiUukABSqMapUmD0qQJNR5RKXFnlqGOMxI9plWNjYdkSaZq+m5cm8sIv7wxYX1SQjXiftiJLj2cmJvboNCoDlvvXBeweqmcugtfjg1jpzgirs5AqTu9gZ2CXTuY+97reF1OLr3jflpd0Pe4t+GorGDS42PRmcyMefUdtIaaA58BKcDYZWNZXbCayZdPpk1MKKPzz5lTWD39e3qPvonolFQKdu2gYPdOSrL3EAwEAIhOSSOtbQfS2nYgulkG84p+47vt3+EqLmPIukZERMYx8sU3MFoOr6HrK3BQ9ukW1PGhGqVK7blzrH2R+QUfbPqACRdP4MLUC+t7OAQq3JR8uBnZE0ChU4WaLZ2fdDArKuj0Uzx+LYY2J1/X3FFVidESjlJ1+M9TlmVmj3+B3G1buO7Vd4lNSz+ube+u3M3wucN5vPvjXNfqOkqcJQyZM4TG4Y2ZOGBirQOw7oCbZ/54hoX7F3Jlkyt57rzn0Co0LPnmM7b89ivtLr6U/rffi1KpomRfFlOe+R+N2nfi6keeQaE8NSfyTr+TV9e8ypzsOXSM7cjrfV4n2Zxc47JLcpfw4LIH+fDiD+mb2veUjEcI+adETdwDnc6ZWRjCWShnJXx3FbS4PBRIrtoPo6dCk75HWWcVTBsDnmpI7Qk3/QI11MM/1WRZxnfAhnN9Ce7MMmSfBEo33h2LiBh2PZ4sB7I3iNKswdAuBmPHuH/Lx2RV48mqQrL7QxtTKVDqVETf0Bpdeu1q8zcE/lIXzvUluDaVINn9KI1qjB3jMHaJR5NkarCZ4ELNGno8TwSdzwIN/SAVBEE4HfylLkre2YDlkkZY+qXVuIzkC+LaVErQ6kVy+pGcfoJ/30vOAPqWUURclXHUYJ4clKmctgt3Zjmm7gk4N5SgTTYTc2u7Q6ZBNjSyJGNfmottSS7qaAORw5qha1y7E5xAhRv3jgpM3RKOuwGeLMtsWjCXFZO+whIbx+BxTx13YO6/crdl8uPLT9O81wVc8cAjNdZTfuHPF5i5dyZP93iaa1teC8C+DWtZ9cHXtGt+EWlp7Yi8uimqsFCAMuDzUbxvLwW7dpC3PZOCXTsI+LwoFErim2SQ1LoNa5f+gi/gwXLzRTzQ99HD9hu0ein5aDMKpYK4ezse3Pa5IM+Wx5A5Q+iT0od3+r5T38M5yHvAhi/XhqlrAkrD4cdl9S/7cKwuIOGRbqgjD89KrysuazUTH7kPoyWc0a++czALurZGzB2BUqFk6hVTuXvJ3Wwo3sCPg3+kkeXo2fz/nyzLfJ75ORM2T6BDdHuuyW7H3tW/0/XKofS57uZDjtl/MrQvHHMLXa8celz7qY1t5dt4bOVj5DvyuaP9HdzZ/s6jBtD9kp/LfryMVtGt+KjfR3U+HuFfZZ9nErT7iH+4iwjcCPXDVgSf9QZDFNy+FPxu+G4wVO6DUVMho4YSWhu/g18egqgM6HQdLHoWet0Hl71y+sf/H5I3iGtTMRUTl6IKT0ehU2FoG4OxYyy6JhE19iqRZZlAiQvP3moC5S7C+qSgjq7/8mdnIjko48mqwrWhBPf2CgjKGDvGEnltC/H5JRzU0ON5oqazIAiCIACO1YWgUmDqkXDEZZRaFeYeJzddUqFSEHVtCyqDMs61xWgSTcTc3LZBB5yBg7WudU0iqJy+m7LPMjG0jSZ8YOMjnuxILj+2pXk4/iyEoIxzTTHR17dCE1+7cgV+j4ffPv+QXX+soEmX7gy892H0ppPLrEtr257zrx3D71O/I7llazpddmhzwI82f8TMvTO5vd3tDE8dimtTKbbNBbDTSr/E68AJnl2VVE7fTczNbVEoFai1WlJatiGlZRt6XD2CgN9P0d5d5G7LJHfbFjbPm4tRq8M3vAVf5k6m6k83T/d8+mAQTfIGKZ+4HdkbJPbuDmdtwFmSJUpdpeTZ88i35x+8zyzPRK1U81i3x+p7iIfQNbKga3Tk8hDm3sk4/izEvjKfyKuantA+JJefih92YWgXg6l7Qo0nucbwCAbc8xCzXnuOVd9/y8U333lc+xicMZg31r3BG+ve4I+CP3ii+xPHHXCG0EnXnR3uJM2YwsIP3mFvqZULRt1Aj6sPr5PcacAg8ndsZdWUiSS1aE1S85aHLeO221g3dxZ527bQ94bbSW7ZulbjmJs9l2f/eJYYYwxfX/Y1XeK7HHMdjVLD1U2v5qttX1HkKCLRfHqnzTcUQbsPb46VsItSRcBGqB/BAPx4C/iccOMvoDOHbjfODWU+TxkJI3+Apn/XuZeCsPg5WP0hZFwMI74FfThY8+HPCaFa0K2vqreXo9SpkKq34Vr2KskffEbYRT1RaI4+e0ShUKBJMJ1U6aeGQqFSYGgRhaFF1L/fSX8vQNc8sl7LxQnC2UJkOp8hGvqVEUEQhFNNcgcoem0NhnaxRI1oflr2KQdCtff0baJD5TmEgyRfEMeqAuwr8pCDMuZeSVguTkVpDL1PckDC8WchtiV5yN5AqOljyyiqfspC9gWJHNYcY4fYI25flmUq1+ewfvpMtuWt5PxrxtDj6hF1No1fliRmv/EiBzI3M/LF8SQ2DZVPmLZrGi+veZmb48dwQ8kgPLsqQQaf7KHYk0Pz4RcR1bUxrswyqmdnET6wMWEXHruRoc/jJuj3ozeHMWHzBD7P/Jx+af0Y32c8WoWWikk78OyqJPqmNhhaRNXJazyd3AE33277lm+3f4sr4Dr4uEqhIsGUQGpYKmNajTkjymocr8oZe3BtKSPx8W4n1JDItjzvYJMzQ4dYIoc0PWK2/7KJX7Bx3s8Meew5mnTuVut9VLgr6D+jPwE5QI/EHnx+yecoFSf+uzJ/wtvsWLWMP9tUMGDIrUesC+1xOpj02FhA5vrXP0BvDl0Q8rqcrP/lJzbO+wmfx4MhzILHYaf3qBvpOmjIUX+PPQEPl828jJSwFD7u9zHhutpPFy9wFDBw5kDu6nAX93S857hes1A7jj8Lqf45m/iHOtf64qEg1KlFz8If78PQL6H9iEOfc1aEAs/le0KB57SeMOt22D0Put0OA14H1d+fvwEffDMQynbDHcsh5sQuLNaF3Ntux5udTdPFi1DUUIZJqDuyJFP2eSb+IifxD3VBHXF8M4uEc1NDj+eJ8hpngYZ+kAqCIJxq9pX5WOfliBqSZ5igzYf1t/24NpSgNKgJ65eGyqzFunA/wUoPuuaRRFze+GA2TtDmpeL7XfgO2DBfkEz4wHQUqn8DULIk495Wjn15Hv5CJwBSSw2pN/ao86w6t8PO5MfHIssyw596iY3+Xby0+Hn+57qNToUZKHQqTD0T2bhtPpvWz2fY48+T3jGUcSnLMpWTd+LeWUnc3R3QpoYdcT+yJGNbdABXZhkqsxZVuJY9wX38Wr6Q8JgobjRdi29tORGDMzCfl1Snr/FUk2WZeTnzeHfDu5S4Suif1p9eSb1ICUsh1ZxKgjkBjfLsvmDjL3VR8u4GwvqmEn5Z+nGtKwclisevQx1jQNcsEttv+1FHG4ga3bLGz7GAz8cPTz2Mo7qKG9+cgCki8pDnJW8QX74ddYTusNkFY5eOZW3xWmYNnnVSWb5716xmzjuv0nPYSH5OyGRBzgIm9JtAn5SaG3QVZe1m6rOP0bhTVy6/72E2LfiF9XNn4XE6aNbjPM4bPpqwmFgWfvo+e9espknnbgy456EjNiCcsmsKr655la8v+5puCbUPvP/jrsV3kVWVxYJhC0RDwVOg9NMtSO4ACQ8dO/tcEOrcrl9h6mjoeisMOkKpJldlqNRG2W6ITIeKLBgwHnrccfiy1XnwWR8IS4TbFoO2bhvc1oYvv4DsSy4h5p57iL3/vtO+/4YoUOGm5P2NaNMsxNzSVjQfFRp8PE8Enc8CDf0gFQRBOJVkSab4zXWoInTE3dmhvocj1MBX6MA6LwdvVjUAmkQT4Zc3Rt8s8rBl5YCEdV4OjtWFaBtbiB7dCqVejXNjCY6V+QQqPCijdKzNmkPTJt2IqI7CfH4S4YOa1HnguThrD1OffwwCkB7bhfamXmgUWsy9ErH0a8SWFfNYNvELLhh5Az2GHFpiQHL5KXl/E6gVxN/fqcbsVTkoUzVrL64NJegywkEO1W4OWH2HdKOXuppJG96pTl/bqba1bCuvr3udzLJMWkW14rHuj9WqDMLZqGLSDjzZVhIf73ZcNcldm0upnLqb6BtbY2gVjTfHSsWUXUguPxGDMjD1OLzcRkV+LpMff5CU1m0ZMu5ZfPkOvNnVeLOt+PLsIIW+a6qj9ehbRKFrHomuSTh22YHD7zhio73acFZXMfF/9xIWE8vol9/Gh58b599Inj2P76/4nibhTWpcb8OvP7P8uy/Q6A34PW6adO7GeSOuI77Jv5mDsiyzeeEvrJj0FcbwSAY9+NhhJTn8kp9BswYRa4xl0sBJJ/T7vuTAEh5cLhoKngpBq5ei19di6ZeGpf/xl28RhJNSmQOfXQjRTeCWhaA+SoaqqxImXR1aZ/g30Kz/IU/7gj40Sk3oMyZrMUweDh1GwtWfwGkuG1P2wYeUf/IJTRcvQpN84p/fwvH5pyFqxFUZmHudXRf8hbrX0ON5Iuh8FmjoB6kgCMKp5N5WTsXknUSPaYWhbUx9D0c4AlmW8WZVI3mCGNpEHzNzxLmplOpZe1HoQ1NJJbsfTYoZS99UdhesZcnXH3Pda++h367A8Uchpl6JRAzOOKFA1ObSzXy34zui9FGkmFNICUsh2ZxMkimJoiXbkX6vwiJbyHPuJrNyOZIJGrXryK7VK8no0p3BDz9ZY0kA734rZZ9lYuwYR9S1LQ59P/wSFVN24dlRgaV/GmH90g75viC5Aqzf+xcfr5vAVt1erm9zPXe0vwOT5syesl7uLued9e8wd99covXRjO08lquaXnVS5RzOdL48O6Ufba51ORUI/YxLP9qM7AmGGq79/fsQdPionL4H754qDO1jsPRLQ3IHCNp9SHY/QbuPst3Z2LKLiTWmopAVoABNShj6jHC06eEEK9x49lTh3WdF9kugVqBrHI6pSzzGjnEn9BplWebnt15h/5YNjHntPWJSQ0HFIkcRI38diUVr4fsrvseiPTxDWZZlfvvsA5xVlfQcNqrG+s7/KM7eyy/vvY69opzeo26ky6AhB38v5mbP5cnfn+SDiz7gorQaGoEdaeySxNZlv+FxOIhKS+O+rY/TNLk1E/pNOM53QaiJ5AsSrPTgXFeM449C4h/ugibuPxmhUhD2r4LEDmA4/EKjINSKoxTWfQkV2aC3gC4MdJZQ/WWdJVR/uToX7lwJkbW46BHwgd952DG5Mn8lDyx9AJPGRLolnUaWRqRXHKDRniWkn/cwTc576LTN0JGDQbL69UfXrBlpX3x+WvYphMiyTPk32/HlWIl7oBOa2NOf5X6mkWX5jKvVH6hw495egfmC5FOakd7Q43ki6HwWaOgHqSAIwqlU+lkmwSoPCY92E1PgzjG+IieVU3ehsmgJuzAVXUY4CoWCH54ah9/n5YY3PgTAOj8Hx8oCTD0SiLiq6XEdB3m2PEbNG4Usy8jI2H12kKGbsw23lA4h3ZvEXlMuLUb0IioljpxN68hav4aczRsIi45h9MtvozMe+WTEtvgAtsW5RF7T/GBTGskToOK7HXj3WYm4sgnm84+cvVTmKuO9je8xJ3sOsYZYHuryEIOaDDrjvvhDKDtszLwxZFVncUPrG7i9/e1nfJC8rpR9uRV/iZPER7sfs8kT/H1B4tNMIq7OwNzz0CwqWZKxr8zH9tt+kP7figpQmrU4vFXklW0nfUBPGl/Wo+ZMer+EN8eKZ08Vnl2VBMrdh13gqK3tK5aw4ON36TPmFrpdOfSQ5zaWbOTW326lZ2JPJlw8AZXy5GqOepwOfvv0A/auXU1EfCItL+hLy/P7cNv6BwCYOXhmrS9ieBwO5k14i5xNh56DuLVBGjdrR0qTlsQ1akxso8ZEJqWgUouSGxCaceLZU4XsCyIHJOSAjByQICgh+yUC1V4CFW4CFR4km+/geprUMOLv7Xjoxla9A0teAIUKUntA80uh2WUQ1+q0Z40KZ6HyLPjzQ9g8BYK+UEDZ6wCvLfT/fyiUMHIKtBhw4rtylzNszjAidZF0TejKfut+9tv2U+IqAcDgkbGYIxjR9nqGNx9OtCH6ZF/dUTlWrCDvzrtIfv99LJddekr3JRwuaPVS/N5GNLEGYu/sgELV8D6vZFnGs6MS26IDBCo9aBJNaJJMaJPMaJLNaOKMKNT1k1QgyzJln2biO2DD0v/UzrBp6PE8EXQ+CzT0g1QQBOFU8RU6KP1gE+GXNyasT+0yDIVTK3/XdlZO/pqwmDja9u1Po/YdUZ5kEOq/Kgvz+eahuw4JfsmyjG3hAezL8zB2jSdyaLNDAs+yJBOo9BAodqLQqtA2CkOpU+PwORgzbwzlnnJ+uPwH0ixpVOYUYZu/H3VuAFeYj41t9tO9b1+aRGQcMo5gwI8sg1pz9IwnWZIp+yITf4GTuAc6odSrKP9mO/4iB1EjWmDsVLvM08yyTF5b8xrbKrbRIbYDT3R/gjYxbY7z3Tu13lj3BpN2TOK9i96jX1q/+h7OaeXZW0X5V9uIGNIUc49j10yumLQDzz4riU90R6mt+ffDV+DAX+xEFaZFGaZFFaZBadSgUCoI+HxMe+FxKvLzGP3yWwczj4/kv6VczL2TCb+8ca0Dz7byUib+7z5iGzXmmuderfH3ecaeGbz454vc0vYWHuryUK22e9TxyjK7Vq9k27JF5G3LRJYlysO9tLqgL8MG33NYPeualB3I4ee3X8FeXs5FN91Bi/N6U7Y/h717NvHj79/QLJCEssJFMBAAQKVWE53aiNhGjYlr1JiYtMaYIiLRmUzoTWbU2uNvFHk2kmWZisk78WyvOOIyyjAN6mjD3zf9wXtNvBGF5j/Hh60IPuwCqd0huQvsXQjFW0PPhadCs0uh220Q3/oUvyrhrJO/Hv54D3b+AiotdBwFve4/tKGf3xMKPnvtoDGA5cTLIEiyxN2L72ZjyUamDppKxn/+5rv8LnLzN+K75nYKo5U8MlKBVqVjYOOBjGk9hpZRR5698V/eoJdCRyFFjiIKnAVUuitx+EOljxy+f+9NWhMvnfcS3sdexLVxE82WLUXRQD5/zjT/lMGyXJaO5aLU+h7OaeXJqsa2cD++PHuo90TTCPxFTvxFTmRfMLSQSoEmzogmwYQ6zogmzog63og6Sn/KE4FcW0qpnLIbdayBQLmb2NvboWsScUr21dDjeSLofBZo6AepIAjCqVI5Yw/uzLJQ4MZ4djckO9sFAwH+mjmFNbNnYI6Kxu/14HHYMUdF07rPxbTt25/IxJOvR/j71O9Y+9OP3PHJt5gjow4+LssytsW52JfkYugQizbFjL/Yhb/YSaDUFSoz8A8FaJJM/KHayGJpFTcPvJtO0R2xLTyAa1MpSqMaS780TD0S6ySDI1DtpeT9jagjdaEswSpvqBxMy6hjr/wfkiwxJ3sO7214j0pPJVc0uYLb291Ok4iaa+meTivzV3LvknsZ2WIkT/V8qr6Hc9r9Uy5DcgdIGNf1qCdbgQo3xW+tJ+zCFMIHND7hfToqK5j8xINodHpGv/oOBvORG1ZC6AKI9Zd9OFYXYuqeQMTVx54VIEsSP77yDEV7d3PDmxOIiE844rIv//Uy03ZP4/5O93Nbu9sOyUaWAxIoOKQxaG3ZK8p59uu7sGS5sVQrUCiUpLXrQKsL+tKsey+0hsNnGuz8fTm/ffYhOpOJKx96guQWrQ55/q5Fd5FVncW8q37FVlxE2YEcSg/kUPb3zWWtPmybKo0GnTEUgG7SpTu9R92IUlV3F9TOFPYVeVjn78dySSMM7WNQqJWhm0oBaiUKlbL2GX+z74ZtP8K9ayDq788pWyHsXQR7f4PsZSD5of/z0ONuqKFMkdDAOMthxk2hkiz6cOh2O/S4E8wnVhqotr7b/h1vrn+TZ3o+wzUtrjns+eqZMyl66mkA1PcPYVoXI3Oy5+AOuOkS34UB6QOQZAlXwIXL7zp47/A7KHGVUOgopNxdfth2dSodZo0Zs9YcuteYySzPpJ0ilf+9uoeoG28g/pFHTulrF45MlmUqf9iFe0cFcfd2bBDNyr25Nmy/HcCbVY0qXIulXyOMXeIPfu7Lkkygwo2/0Im/0IGvyEmgxEXQ6v13I2oFmlgjKosWhV6N0qBGqVcd/Lc6So+uScQJZ4/L/iDFb21AaVITe0d7SidsRvIFiX+gEypz3V+gaejxPBF0Pgs09INUEAThVAhUeih+ez2mbglEXt302CsIp0xVcSHzPnyL4qw9tOnbn4tvugOlWsO+DWvYtnwx+zdvRJYlklu2puuVw2jatccJ7UeWJL6471ZiUtMY+sQLNS5jW5KLbdEBIJSNp0kwoYk3oUkwook3IXkCeHOsZG/dTni5Hp3895dTJaBUEHZ+MmF9U1Ea6naavXt7ORWTdqLQqYi5qQ26xuG1W9FjDZ14/4fD5+DzrZ8zdddUPAEP/Rv15472d9Q626qulbpKGT5nOLHGWH644gd0qqM0cDqHubaWU/n9TqJGtjhq7eTqudk4/iwi8bFuqMJP7r0q3LOT6S88QUrrdgx9/PljBkFlWcb22wHsy/IwdIgl6prmRw0Eb1owl6XffEb/2+6lwyUDj7ptf9DPU388xfyc+fRN7csrF7yCRWtBcvkp/TQTOSARPbol2pSjB8f/v/XF67l54c080f0JLgvrzZ7lK8lZu56ikr2otToyunSnVe++pHfoDChYOflrNs6fQ3LLNlz50OM1ZkUvPrCYh5Y/xISLJ3Bh6oWHPPfrvl8Zv+wlzFYFKq9EmKSnfVgbWpuaYQhqsFeWk7NpPekdOjPowcePWl7nbOPJrqb8y60Y2sYQNbrlyZXxyd8AX14MFzwUCirXxFkOc+6H3fOgSV+4+lOwHHumwGFkGf76BIzR0OHaEx+zUL88Vvh2EJTvgX7PQecbQHfqg3w7K3Yyet5oeif35v2L3j/suJcliX2DrkSh1aCs3IXPrqbJ0lW4TCpm753NlF1TKHAUHFxeqVBiUpswaAwY1UbiTfEkm5NJNCWG+kWYk0gyJRFjiEGjOjxhYnnecha/ci/XLZdoPO8X9E0yDltGOH2CTj8l725AZdYQe0/HI85OOtvIQYlgtZdAhSc0G7DSg7/QgTerGqVJQ9hFqZh7JNaqZBiESscFytz4S1z4S/8ORDv9yO4AkieA5A4ebHYMoAzTYuwch6lL/KF9AGrhn+/6sXeEspt9hQ5KP96MPiOC6Bvb1HmWdUOP54mg81mgoR+kgiAIp0LFDzvx7KwkflxX1BENM8h1PLwuF5sX/oK9opyew0YekiV8omRZZvvyxSz95jOUahWX3H4/LXpdcNhyjsoKdqxaxrZlv1FVVMgld9xP+36XHff+crdtYcZLT3HFA4/Q8vwLj7hcoMKNQq9GZao5+31O9hye+v0pRjUbybjk+/HttxJ0BjD3SkQdqT/ucR1ClsGaFwp+aA+tZ+zeVn5w+mGtrJ4Avz0F3e+EAa/B/ytrUOmpZPKOyUzZNQWH30GflD7c3u52OsZ1PLnXcByCUpA7F91JZnkmU6+YekZkXdcXWZIp/WAjgUov0Te2Rp8RcdgykidA0atrMbSOImpk3Vwk2Lr0N3777AO6DBpC3+tvrdU6tuV52BbsR98qiujRrWo8qawsLGDSYw+Q0rotQx9/vlYBSFmW+WHXD7y17i0SzYm8e8E7RM724su1ozRpkJx+IgZnYOqeUOuA5t2L72ZHxQ4WDFuAzq+hdMImAlYf9DOza99qdv+5Co/dht4chjkqmvLc/XQeOJg+Y245Yo1mv+Tn0h8vpW10Wz7sF6oN7w16eWPtG0zfM53OcZ15o88blLvL+WHXD8zPmY9f8tMzsSejW47GuNPKHxO/ISw+jvZ3jUEK0+Lyu1ApVXRP6I5Rc/YFooNWLyUfbkJpUBN3X0eUupO48CZJ8NUloc/C+zeEmr4diSzDhm9gwZOg0cOVH0DrwUdYVGZDyQYsOgtNwpugVv49xqWvwMo3Qv/u9yxc8LCoF3228Tlh0lAo2ACjpkCzS07Lbt0BN9f+ci1On5MfB/9IpP7wi1T2pcvIv+cekt58E51rHTnPTyP80j4kvR9q7heUgpS4StCr9RjVRnQq3UldsJFlmc0Xnc8+TRV5r9/Jg10ePOFtCXXDs7uS8m+3o2saQcyNbeqtjvGJkrxB/AV2vLl2fLl2/EUOgtVe+G94SqVAHaXH2DEO8wVJJ/c3oAayLCP7JWRPAF+uHeeGEjy7K0ECbWoYxi7xGDvEHjPpI2jzUvzmevQtIoke829pJsefhVT/nH1KSi429HieCDqfBRr6QSoIglDX/mnCdaobR5wLfB43m+bPZf0vs/E47ChVarQGA/1vu7fGAHFteV0ufvv0ffas+YPU1u0YcO/DWGJij7pOwOfj57dfYf/mDScUeJ7/0Ttkr1/DnZ99h0Z7YhcatpRt4eYFN9MprhOfXvJp3XWhl2XIWgzLXwudNAMYIkN1S8NTITwFIlKh5SCIOkZJBVkObWfFeIhpAeW7ocXlMOzLwwLZADafjam7pjJpxySqvdW0i2lHk/AmJJoTSTQlkmBKOHhvUBvq5vX+7YvML/hg0we8eN6LDGk2pE63fTYKWr2UfbWNQKWnxhIq9lX5WH/NIe6+jsed8Xs0S77+lM0Lf+Hy+8bRqvdFhz3/z3fQ/wZC/jlB06Zb0KaFIXuCSJ4AsjdI0B2gOjcfm7eCJledT0SXNFRhtZ+yuql0E48se4Sb9w3iQmsXoka2QNcsksppu/HuqcLYKY6IIU2PmTG2q3IXI+aO4P5O93N729up+G4Hnj1VqKP0BK1eYm5pizrVxIHMTexYtYzSnCx6DRtV43vw/32w8QO+2vYVC4ctxB/0M27FOHZW7uSWNjdxf0QH1NnLQGeBiFQqDOHMqt7GtNxFB5uKJZbruWhjLEGlzOKupVREhJqa6VQ6Lki+gEsaXcKFKRdi1p7507HlgETZ55n4i53E3dfpuLPODrNlGsy+A676GDpdV7t1yvfCzNugaDN0GgMDxh+S5SrLMuPXjef7nd8Dofe5eWRzWnl9tMpZTav0/rSQtai3zYDzHoBLXhSB57OF3wNTroWclTD8G2hz9Wnb9Yt/vsiPe37k80s/p2dizxqX2T9mDP7CQpouXIhC8lA6piMVW7Wkffstpp4nNnNLcrkI2h1o4g+fFeNcs5bcG29kze09eTtmvfj7eoZwri+h6sc96NtEhy7WnsGNBWVZxrOzEs/uylCQudh5MMCsjtajSTajjjGgjtKjjjKgitajCtOe9obsQbsP16ZSnBtKCJS4QK0k8uoMTF2PXMqrcvpuXFvKSBjXFXXUv4kiB/sR7Kwk7u4OaFPr7jtWQ4/niaDzWaChH6SCIAh1SZb+rp3q8BE/rmu9TnPzez1odCeZGXuK+D0eNi38hfVzZ+G222jcqSvnjbgOrcHA/AlvU5y9l1YX9OXim+9Cbz7+oMhvn3/ItmWLuGDkDXS9ckitmwUGfD7mvP0KOZs3cMkd99G+X+06zfs8bj6943paXnAhl95x/3GPF6DYWczIX0ZiUBuYcsUUIvQRJ7SdQ8gyZC8NBYnz10F4GnS/HaQAWPNDmX7WfKjOA58dNMbQVPNut9dcv1SSYOGTsOaTUODlyg9g3Zew4HFI7Aijpx2xtqXL72LGnhksOrCIImcRZa4yZA797hFniCPNkkYjS6OD943CGtEovNFxB+A3l27mpgU3cWmjSxnfZ/zJTcU/hwSdfsq/3oa/yEnUtc0xdgj9vOSgTPGb61BF6Ii7q0Pd7jMQYObftZeb9zwfj9OBx+nE47DjdTrwOOzENc5g+NMvo9X/e+HBuaGE6p+yAFDoVSh1ahR6FXZbBRVFuSRGN0XpUYACtClh6FtFoW8VjSbBeMyfd9EvOwj+XsE3sT+jOD+CR7s9ikahwb4sD9viA6jjjERf1+qoAc5HVzzKyoKV/Db8N+QVVdiX5BJxVQaGtjGUfZ5J0Ooj5ra26NIsx/2e5dvzGThrIH1S+rCpZCMKWeJVQ3MuzFoNrvJQ87Kg75B1AihYEZ1IYZPemJoPQFnpIe/bXwnYXXS8eTTmNuksyV3CogOLKHWVolFqOD/pfC5Jv4SBjQfW+ndMlmT8xU40iaaT+70q3wtrPoUdP8Nlr0H7ETUuVj0nG8fqQqJGt8TY/ugXD4/J64AJXSEsAW5benx1mgO+0Gfp7+9CRBpc8Q406w/A+xvf58utXzKq5Sg6xHZgZ8VOdu5fzE57Hva/S8Scn3QeH3tNKNd/BZ1vhEHvHjZD5BC2IjDFgqqWGX3FWyFzGrgqQ6Ug/nvzOSDjYrjkpRMrEdJQBf0w/UbY/evxXaSoA0sOLOHB5Q8etQGqe/Nm9o8cRfyTTxB1ww0ASAtfZN9Tk1BEpNL41/kodcd3EdybnU3uTTcTKCtD36YNYf37Eda/P9qmTVEoFBQ88iiO5ctJX7GE+38fx7qSdXx+yed0S+h20q9ZODn23wuw/rIPY+c4Ioc3P+1B2trwHrBhnZeD74ANhV6FNjUsdEuzoE0NO+IswPokyzL+AgfWBfvxZlUTdnEqlksaHfb3z5dnp/SjzYT1rbknhuTyU/LBJlAqiH+gE0p93WRrN/R4ngg6nwUa+kEqCIJQl/7JNIi6tgXGTqe2sczRZG9Yw5y3X6PnsGvpNWzUaduvo6qSoqzdFO/dTXl+LkqlEpVag1qrRaXWoNKGvkzuXr0Kl7Wa9A6dOW/EdSQ2a3FwG1IwyJrZ0/lz5hRMEZEMuPshGrXvWOsxlO7fx6THx9Ll8sH0veH2434NhwSeb7+P9v2PHXjevmIJCz5+l2tfGE9KyzbHvU+X38VNC24i157L5IGTaRp5knXAZRn2LQ8FSPLWgCUF+vwPOl4H6iNkhFbnwi8PQ9YiaHQBXDXh0KxnKQhzHoDNk0NNtS579d+Aza55MPNWMMXAdT9CbIua9/EffslPqauUIkcRRc7QLdeWS649lwO2A1R6Kg8u2zKqJd9c9k2tszKtXisj5o5AqVAy48oZhGnrLqPkXCB5ApRP3I5vv42Iq5ti7pGIK7OMyh92EX19KwxtYup8ny6blZ/efAlnVSU6kxmD2YzOZEZvDkOt0bJ54a+0vOBCBt778CEncrIsH/L/0v37+P7Jh2narSdXjH2UQLELz85K3Dsr8Oc7AFDHGAjrk4Kxc1yN04wda4uonpWFoVscE9N+5Zsd32BQG4g3xhNviqeLszWXbu6IOqii/GIFSd2bkWA6tORGri2XK3+6khtb38jdxhup+G5H6ER/RHMUCgVBq5fSzzORnH5ib2+PNvn4L57d+ev1rC7fTFu/xFvFRSSjhRYDoM3Q0PR+hfLwi0fZS0PZuGMzwZKIy1rNT2++RFHWHvpcdzPdrhyKJEtklmWy6MCigxeBbm93Ow90fqBW4/qn/IllQDqWvqnH96JkGfYtC9U43vsbqHQQnhz6/Bk9HZr2O2Rx1+ZSKqfuxnx+EhFX1kHt2CUvwaq34NZFkNr9xLZxYHXos7BiL7S+ms8bt+fDHd8yovkInun5TOg42fAtzB2L3HIQ+QNe4ZcD8/l488c81u1RxhTlwKq3Qz/HIZ8d+pnstcO2mbDxu9CslPBU6HFXqH6w/ggXL0q2hz7rd84NvZ+m2FCtfX14aB19eOhY2TYLVBro+0So+V0N9XqF/5AkmH0nbJ0OA98IvWenSbGzmOFzh5NsTmbywMk11lYGyL//AZxr19Js6RKUpr9nGrkqcT7agdzFZmLuuZvYB2r3ew3g2bOH3JtvAaWCyJEjca5chXvLFgA0jdIIu7gfVd9/T8Tw4SQ8+ww2n43r511Pubuc7y//nvTw9JN96cJJsi0+gG1xLubzkgi/sslJX3CXAxJBpx/J4Udy+9GmWU4oocZf7sY2Pwf39gqUYRoslzTC1CXhjM7I/v/koET1T9k41xVj6BhL1PDmB79jyLJM2aeZBCrcJPyv6xEDyt5cG2WfZmJoE13r3gSSL4h9eR6eHRUYO8Vj6pV4yM+gocfzRND5LNDQD1JBEIS6InmDFL+1DnWknti7O9RbZmXJviymPv8YChT4vR4G3PMQbS7sd+wVj5Pf66FkXxZFWXso3ruboqw92CvKAFCqVEQmJqNQKgn6/QT8PoJ+/8FbUsvWnDfiOpJbtDri9ouz9zJ/wttUFubT8bJBXHj9rag1Rz9JlmWZGS89RVnufm597/MTypKGvwPP77xKzqb1tWpSNuOlJ7GVlXHL+58f9889IAV4YOkDrC5czQcXf0CflD4nNOZDzLk/FLSwJEPvh6HT9aCuRbaTLMOmyaFsZikA/V+AbreF/j3rdtjxE1z4WCho8f9fZ8FG+OFaCHrh2u+hce+Tegk2n41cWy5by7cyfu14zks6jw8v/hDVMbLWg1KQcSvGsSJvBd8N/I52se1OahznKtkfDE313F1F+OWNcW8rJ+jwk/C/rvWSHfXnj1NYPeN7Lr3zAdpdfGmNywT8fn548iGc1mpufOsjjJZDm1gGbT7cuypwri3Gn+9AFaEj7MIUTF0TDtaF9uyupHzidnRNI0O1L1UKfi/4nT8K/qDEVRK6OUuQbH4ey7+ZNu4Mfg/bxKSUecTExdMsshnNI5uzpmgNy/KWMb/vXAJfHkAdYyDurvYoNP8en4FqD2WfZiL7gsTe0R5NwuHlZ2rkKIPlr7EvczK/G42Miu+Fpu0waD7g2I3LKnPgw87Q8x647BUA/D4vCz5+jz1/ruKyux+kbd/+BxeXZZmxy8aysXQji4cvRq8++uyYQKWHknc3gAJkv0TMzW3RNz+8zuzhK3phy9RQsLlsJ5jiQp8tXW8JBV2/uRyq9sNNv0BSp9C4i52UfrQZTbKZ2NvbHbWpZK1UHYAJ3aD1VTDsi5PbVsALf3zApE0f8UZkGFdaWvDylT+gVGv/Lt9xZ+jCwLXfg1qLLMsHP+enXzmdjO2/wKJnoeklcM13ULINNk6EbbPB74TYltB2WOji4YE/QBsGXW4MBaAj/g70l+yAFa+HMsV1Fuh5d+jnboioecyV+2D+Y6Fgf2wruOItSD/xMlbnNFmGXx+G9V/Dxc+ELtqe8l2GaoLPzprNogOLAJg+aPoRA7m+/fvJHng50XfcQdxDDx765MKnKHj3e2z5YTT5aTa6pse+kO3ZsYPcW25FodOR9u036BqHLjr7S0pxLFuKffESnGvWgN9P459mo28ZqvufZ8/jul+vw6KzMGngpBrrTgunjyzLWH/NwfF7AWEXpxJ+afpxre8vdlI9J5uA1Yvk8CN7g4c8r21kIfaO9rUOFgcdPmxLcnGuKUahVhJ2YQrm3slnbcNDWZaxL8/HtnA/2nQL0de3RmXS4NpSRuWUXUQOa4ap25HLbwDYV+RhnR/qWxHWOxlt4/Aazx1kWca9rRzrrzkEq72o440ESlwow7RY+qWGvtuolQ0+nieCzmeBhn6QCoIg1BXrwv3Yl+URe0+HE5pOXRds5WX88PQ4lCoVI194g4WfvEf+zm0MfeIFGrXreMLblSWJysJ8ivbupigrFGAuz92PLEkAWGLjSGjagsSmzUls2oK4JhknXNf4v/w+L7//MJGN8+fQ9qJLuOyusUddPmvdX/z81sv0u+VuOl52xUntO+D3hzKejxJ43lmxE4tHy9RxD3Le8NH0Gn58WeWyLPPyXy8zfc90nun5DNe0uOakxgzA9tkw46ZQ8KH/87ULNv9/1nyYOzZUBzq9d2gqf/YSuPQVOO++I69XdQC+HxEKbnS4FvQRoZIdWlPopjGGshobX3hc9Uyn757OS3+9xJhWY3is+2NHXM4v+Xlq1VPM3z+fR7o+wg1tbjh0geJtkLMC4ttAQnswnnzDyrOZHJConL4bd2Y5AOFXNiHs/OR6GYskBZn56nMU7trB6FfeJrbR4VNTV02ZyNqfZnD1o8+S0eXIWaqyLOPdU4VtaR6+AzaUYVrC+qSgTQuj/KttqKP1xN7V/qiNiAJSgHJHOdUr9mP4y0dQEWRh+lomG37GFrADMLLJtdy6biCSw0fc/Z1qbPQZqHBT9lkmclAm9s72R69H7HPBnx/BH++B3w1db4YLHwfzcZaUmHk77PoVHtp28BiXgkFmvvoMhbt3Merlt4hL/7ep5tqitdz6263HrM0qyzIVE3fg3VdN3H2dqPxhFwGrl/j7OqKOPko9dkmCqaNhz3xIaBf6bGo77NDPJlsRfHUpBNxIYxbg2KnFvqoAhUpB/AOdUVlqX7P7iKbfAHsXwX3rQ59DJ2nGnhm8+OeLXIKZN3J2oE5oH3pdS14IBXNHTwfNv+9LubucoT8PJcGUwPeXf49m8/cw98FQI0OvDTQmaDs0VHojpeu/n5EFG0PHxfbZof+3uToUFN0+O/S52uMu6HVv7T7PZBl2zw8Fn6250G4EXPpyqNyIEOJzwa/jYMsPcP6Dob+jpzCJoNhZzNzsufyU9RO59lxMGhMD0gcwquUoWkQdedZQ0fPPY501m6ZLFqOO/X+fEbZCAuM7sm9+AtpW7Wk06TsURykl4966ldxbb0NpNtHo22/RpqXVuFzQZsNfXIy+efNDHt9UuolbF95KlD6KF897kfOSz6v9GyDUOVmWqZq5F9f6kuNqXBewein7aDOyJKPLiEBl0qA0a1CaNKjMGgKVHqy/5tS6Z40vz07ZV1uRfUFM3ROx9Du+/gtnMteWMipn7EYdoSd6TCvKv90eanR7f6djXriXJRn7sjwcfxQguQJokkyYL0jG2D72YOa0vyQU/PdmW9EkmIgYnIGuSTjefVasv+3Ht9+GKkqPpX8a5i6hz++GGs8TQeezgAg6C4IgnLxApYfid9ZjbBdL1LXHLi1wKnhdLqY+9yi2slJGvfQmMamN8LqcTH32UWzlZYx88Q1i09KPug2P00FVUQFVRYWh+8J//+33egDQGowkNG1OYtPmBwPNpohTm9ny+9RJrJk97agN/gJ+PxPH3YNKo+GGNz5EqTr5LIr/Bp7bXNifPmNuxmgJp9hZzBvr3mDRgUUMKm1HzHobt334JeFxx3fi/s22b3hnwzvc3PZmHu7y8EmPF3sxfNwLItND08drWwu0Jv/Nevba4cr3Q5l2x+Kugp/uDZX18LtCt/8vtUcogJ1a+xqQ49eOZ/LOyUcMznuDXv634n8sz1vOQ10e4pa2txy6gK0IPr8QHCX/PhaeBontIbFDKBgWngLmBDBGH1+t17OYLMmhE5u9VcQ90KnOO8IfD5e1mu8eewCt3sCY195Fa/g3QFu4ZydTn32MNn37HfPi0z9kWcabbcW+NBfvPisAqnAtcfd2RGX5T8AzGAgFlY6QRR+ocFP1UxbevdVoks0EBkZwQF9IxjIL/h3VxNzSFn2zI38G+stclH2WCQoFEVc2wdA25tCTUikIW6bA0pfBXhRq6Nn/eYhpVuP2gk4/1T9lEXZhSs0NH0t2wCe9QjMS+j5+8GGXtZpJj49FpVYz5rX3D84EkWWZoXOGolFqmDZo2hFna7i3lVMxeefBIEagwk3JhM2ow3XE3tPhyJlrq96GJS+Ggpu97jtiAE8q3I3jiwk4PJcjyWb0LaMIH5iOJr6WGeJHIsuh7N4froGLnoYLHzm57QFzs+fy1O9PcUHyBbzf9z00u3+F+Y+DoxhSe8KYmTVmpf9Tp/eO9ndwf6f7YftPoQznNkNCN91RSgFV58Haz2DDxNAx0+NOOO/+E7t45nOFalP/8X6o/MZdv0NY/PFv51xTnhW6OFG64+9ZPY+fkoBzri2XVQWrWJG3gjXFa5BkiW4J3RjSdAj90vph1By9WWagooKsiy4m/KqrSHzpxZoXmjuW6pmzKPrLTMKLLxB5Tc0XtV2bNpF3+x2oIiJoNPFbNMkndkFma9lWnvrjKXKsOVzT/BrGdR13zNchnDqyJFM5ZRfureWEX9EY8wXJR52JJ3kClH26hUCVl9i7OqBNrPlzt3LablybS4m9qwO6RkdOsAlYvZRO2IxCrSDm5rYn3wD2DOTdb6Xiux1IngBIEHtHO3RNImq9vuwP4txUiuP3AgKlbpRhWsy9EpGcfhx/FqLQqQm/tBGm7omHZJb/c2HdunA//kInLd+5DE/AR0AKnIJXeeYTQeezgAg6C4IgnLyKH0IdieP/1xV1+Mln+B4vKRhk9vgXyN22haGPv3BIDeSD2c9KFaNffgtzVPRh65fsy2L1jO/Zt3HdwccUCiWWuDgiE5OJTEgiLr0Jic1aEpWUfNSMmVNBkoLMeu158ndsZeSLb5KQcXgwZv3cWayY/DXDnniB9I5d6mzfAb+fP2d8z/pfZqM1GFD0bca3ioVISHSJ60z81AOkJDThjlc/Oa7tLti/gEdWPMKA9AGM7zMepeIk31NZDpW3yFkBd66C2ObHXqc2bEWhQFhy5xNbX5Ig4A4FOfxO2LcClr0SCv62GQr9nwsFyY8hKAW5f+n9rC5czSf9P6FXUq+Dz7kDbsYuHcufRX/yZI8nGdXy/2WcB3wwcVAo03nMzNB4ijKhOBOKtkBFNvy3qaFSDeb40C0sIZR52KJ2TSXPVv+/dnJ9yduxlRkvPkWL83pz+f3/Q6FQ4Pd4mPT4AwQDAW54YwI64/GfvHr3W3FtKMV8QdKhQcygH74ZGKp5e+MvR6x5Lssy7swyqufuQ3L6QxlH2VbCB6YTduGx6xr7S5xUTN5JoMyNOkpNWGsrRsMmFGXboHAT2AogpVuo0VujXkfdlnXBfuzL81BF60PNiGq6UDBlFOT+CQ9uOyT4WbhnF9Oef5xG7Tsy5NFnkdxBrPNy2BC5k4cLnmbSwEl0jOt42OYkb4CStzegNGqIu7/jwVIXnt2VlH+7HUP7WKJGtjj8GNq3HCYNwZd+O94mD6A0a1GZNf/emzTIAQnnn0XYV+YhOQPoVRuxxK9Be+fnxy4nciRBf+j1754fulXlQEQjuHfNIdnHJ+K3/b/xyMpH6BbfjQn9JvxbksRjC5W6aH3VkesvA0///jRz981l4oCJNb7Xx+RzAXIoy/lkFWXCV5dAWi8YM6vBXGyr0bZZodJUKm2o/ErT/sdep5Y8AQ/rS9bze8HvrMpfRa49F4B0SzqXpl/K1RlXk2qpfX30sg8+oPyTT2ny66/omhw+KwSAyn3IH3Qhd31bXFnlaJKS0DbNQJfRFF3TDHRNmxK02SkYOxZ1bCxpE79Fk3ByGe+egIcJmybw3Y7vSDIn8dL5L4kGg/VIDkhUTt2Fe1sFph4JRAzOqLFMkRyQKP92O959VmJubnPUi6iSJxBqhgdHbIYn+YKhAHaFh7i7O9S+tNRZKFDupnzSDrTJZqKuObGko3+CyPbfC/DurQYFmLolYLks/aiNFWVJxplZSkKPxviDAbwB3xGXPZeJoPNZQASdBUEQTo43x0rZZ5m1nm5W12RZZvGXH5G5eMERM4FLcrKZ9vzjRCQkMvL51w9mEJbsy+LPmVPIXr8GvclMh0uvIKFpcyITk4iIT0ClPn2NhtwBN8XOYhqH13wC5bJZmfzEgygUCsa89h6GMMshz3099g6Smrdk6BMvnJLxLVr/E6u++ZLwcvAk6Bly72OYJT0znnuC7J4aJjw4s9aB402lm7ht4W20iWnDF5d+gU5VBxcqNn4XOmG+7DXodc/Jb+9U8jpCGXarPwQ5GJoe3nvckWuR/s3hc3D9/OspcZYw+YrJNAlvgsPn4N4l97K5bDMvnPcCVze9+vAVf3kY1n8Fw78JTV8/bDx2KN0F9kKwl4SC7I6SUOZ42W5wlsLNCyCl7i5mCEe2ZvZ0fp/63cGyNku+/pTNC39hxDOvkta2fd3ubMWbsOzl0L/PHwuXHCFr8G+SO4B1QQ7ONcUY2sXUuhEQ+RuQFz6NO8+A3Xs1frkxakUhYeErMDZ2oWh7dShYeYxtBZ1+isevQx1rwF/owNglnqjhNVxgylsHX/WvsSTO5t/mseSrj+k9+AbSipsQKHODAj5N+hFfBx1v9HnjsM1V/7IPxx8FNWa32ZblYVu4n/ArGhPW+z/TuK0FeD+6GZtvBF5Py5pfkAJQKSEgoWseiaV/Gjr36lA5jiYXwqhpR25++l8BX6ixX/HWUAmNrEXgsYYa6zXuE7po1PrqULPTkzA/Zz5PrHqC9rHt+bT/pyeUyenwORg2ZxhqpZoZV86ocRsBKcD2iu1khGfUuoHqCVv/NfzyUKiG/wUPntp9nYkCXvjtaVj7OaR0hxHfhGa91JE/C/9k7LKxuANu9Co93RK60TulNxckX0Bq2HE24gQkl4usiy7G0K0rqRMmHH3hH28lkLmQ6phxeHML8WZn49u3D9nrPbiINiODtG++RhNXd82vN5Zs5Ok/nibfns91ra5jbOexx6wXL5wasiRj++0A9uV56JpGED26JUrjv9/tZVmmasYeXBtLiRzRHFOXY8948B6wUfbZFowd4g6b3SlLcqhfxM4Kom9sg6HluV/G7J84Wl1cuPeXhWYHamKP/reldP8+tq9Ywq4/VnDfl98jyyA10HieCDqfBUTQWRCEhiTo9BMoc6HQqNAm1+5ETpZl7Ety8R6woQrXoY7QoYrQo4rQoYrQUTllF5LDR/y4rvXSGGPd3FmsnPw13a8aTu/RNx1xuZzNG5g9/gUate/E+deM4a9Z08he/xc6k4muVwyh08DBJ5RBWBdkWebeJffyR+EfPNn9Sa5teW2NyxVn7WHqc4+S2qY9Qx5/DuXf0+EXf/kxmUsWcOObHxGdcvwncUdzwHaA9za8x+LcxaSZ07iVyyn6dRU+j5vIxGQqSwqZ3HcfL1z0CldmXFmr7Y2ZN4ZwXTiTB04mQh9x8oOsOgCfnBdqwHXDnLMnW81aECopsGUKGCJDjc86jDpq4K3AUcDoX0dj0pj4pP8nPLbyMXZX7ua1Pq8xIL2GbORNk+Hne+G8B+DSl45/jK7KUFmOYADuWC6moJ8GsiQx6/XnyduxlQtG3sCKSV/ReeBgLrrpjrrdUcl2+OxCaD041Ihtwzdw/U+QcdExVw1UeVBZdLVrprT1x9AxaIyBVoOQ49rgcbbAtkmNv8iFKkJH5LBmR80u+4d1YSjLOf7Bzrg2lWFfnkf0mFYY2tYQTP12EFRkwdgth9RPlmWZZe99SkpBIwyGMGLGtMG5uhDP7iomx/7KLXc9TJzp3wCUr8BB6YRNmLonEDmkWaiETs5KaHIR6C3Iskzl5J24d1QQc2s79E0j8O6rwDZ5Dl5XU5R6Bea+jTB1jkfyBpAcfoIOX+je7kP2BjG0jz00mL1xEsy5L1QCJ7IRhCWGfvfCEkOzD9R6KNsVKiVSugPK94QankLofW4+IBRobnLRiWdL/z9zs+fy9B9P0ymuEx/3+/ikSgesK17HrQtvZUTzETzT65mDj++r3sdP2T/xS/YvlLnLCNOGcX2r6xndajThuvCjbPHIChwF/Lb/N85LOq/mGsGyHCopsXse3LIwVE+6Lvk9oQuMiR1C2cNn0t+nqv0w42Yo3Ag974VLXgBV3V1s9/4fe2cdHcXdRuFnsxs34koI7hbc3d2lULRAabGWFop8lBpatFC8UNzd3d0lSNzdk/WZ749BmsYhUCTPOXs27I4uszsz9/e+9+rVdN7TGYWBggk1J1Ddqfobi69x6zcQ+euvFNm0CTOvqtlPHPEAltWDxpOgsZSHIOr1aENDUfv4oouMwLJVKxS2+S8MpmnTWHBrAZsfb6aSQyXWt1n/5h1dBbw2qTcjid/1DIWNCfYDy6Owlzo+Eo8HknwyCKsWRbBqlrmXd2YknQgk6UQQtr1LY1bl1fniRSeOdftiWNb/bzIiPlZSE+LxvnCGR2dPEh0UgIFcQfFqNek0fjLw6ep5BaLzB0CB6FxAAQV8rGgjU1E9jUcXpUQbnYYuOg0h9ZXflU33UphXz1lAenFhpXA0RVDqEJK1Gab590VXfhITFMCRPxeQEBmOwsgYhZERCkOj538bEvrEm1K169N+9Hc52l7cO3mE4yukyhhjM3OqteuMV9uOGJv9t61vh/wOMeH8BApbFiY4OZghFYYw2mt0pjco904c4fjKP6jdrQ/1en5GTFAAf38/miqt2tF00PB826bg5GCW313Ofr/9GMuNGVpxKAPLD8RIbkRaUiJn16/m0blTlKnfmHWe10hUJ7Kvy75sq5bjVHH0P9SfZE0yG9puwMMq9xf4WSIIsK6DZBPx5UVJoPnQCL8Lh76H4CtQspXkH23lkuXkd6LuMOToEPSiHrlMzrzG82hUuFHGCUNvwZrW4FFbah1/XY/riPuwqgW4VpFE/dxUXhbwRqQlJbJ+wmhS4mKxcXWn/6yF+RJO+hK9DlY1k0Izv7omWS6sbCIJql9eeuOKWED6bp7+Fc7PhSL1oOff6ZYriiKqJ/EkHpQsO5zGVcs2ZEmfqiVi9nVMSttg17csok4g6s+76ONVOI2tljFsz/cUrO/y3I994MuX1f6JxKx7iEqZwsW4PXT69X9Y2TkSsuUOsvupBJSIpd7gTsgMZIiCKK0jToXzN14YPN0Gx/8HabGS93mjCVBtEILegKgldxBStRi6WqB+loABiVhUVWDRuQUGxq8xIHtnsxQ++KL7IDkC9Or001gXBsdy4FQOHMtLzw5lMvhzi6KIXtSjMHi934Ddz3Yz7dI0arrUZFGTRfniVfv7jd9Z+3AtsxvOJlmTzF6fvdyLuYdcJqeBewOaeTTjVNApTgefxsLQgj5l+vB5uc9zNVCp0qk4GXSS3T67uRp+FYDCloXZ2XEnpopM7EWU8bCsgWQzM+K85POcH+jUiJv6knTyIuYuahRuxaTOlsp98m0wIM+kxsLj/VIQo/95yaak0xJp8Cmf+fPunyy9s5RVLVdRy6XWGy9P1OnwbdUahaMjnps35W6mTb2lc+uYe9navrwtXgRuLmyykKYeTd/5+gt4hdo/kdj1jwCw61cWXayK+J3PMKvuhE23knmq1BX1ItEr7qGNSMVpjBcKWxNJ2N7+FPOazhTqUuK9sOzKN6K8pZDuFj9BqcyzZd4WKfFxXN6+ifunjyEKAs4lSlG+YTNK122AqaXVJ6/nFYjOHwCf+kFaQAEFfJzoUzREzLmBqNZjYG6IwsEUQ0czFA6mKBzMSLkYitonAdveZTCr7JDlclKuhZOwywczL0dsepRCJpMh6gT0iWp0CWr0CWoQRcyqOb2Vi6sHp49zcs0yjExNKVW7PnqtBp3mxUONTqPBysGJZkO/zLUgc+foQVQpyVRp3R4T8//opu8fJKgS6LS3E67mrqxrs46Z12ay/el22hVrx891f8bwX1VHoihy9M+FPDx7gi4TpnHr8D4ifZ8xeOGKdJYbr0toSigr761kj88eFAYKepbuyeAKg7E3zShCxQQHYmlnz+3E+3xx7AvGVx/PgPKZh+2lalMZcnQIPgk+rGq56vW8PDPj8lI4+gN0/AO8+ufPMv8LBEEKyToxXRJ1W8+Cyr2zrHo+4n+EBbcW8GPdH6ntUjvjBKkxUhWrTAbDzoJ5Ri/zPHF/B+wcAjWGQrvf32xZBeSK0MePOLF6Ka2Gj8a5RD55lL/gRbhdj3VQvrP0WsQDWNkUijWGvlvfLEBMnQK7h8PjA1C1P7Sbl+VghTYylchFtzEtZ4fdZ2WzXGTi0QCST0tVzi88MrVRaUQtvo1RUWvsB5VPfx4SRVjRGNRJ8PUNMJCjfBhD7ObHKGxMMOrgyKYZ32Ht5Eyfn+YgNzRk+7Ll1A0sj3E5G+z7lCP1ZiQJe3ywaWWCue8kCLkmBeXV/hKur4KA82BTFJpPQ+vQiqild5CJWiz1azGv7Y5B+9foLsgKUZTE0ZRIydfYvkSuxNGAxAC+O/cdKp2KNa3W4GCW9Tk/M7Y92cbPV36mnms9FjRZkG82AWq9mt4HeuOT4ANAiUIl6FyiM+2KtUt3vnkS94Tl95ZzPPA4ZgozepfpTduibVEYKJDJZBhggFwmRyaTEaOM4YDfAQ75HSJZm4ybhRudS3TGw9KDCecn0L9cf76v8X3mGxR0VfI3L98Fuq3K8vhP2L0HBAHrTh2RKbIR8XVqlAu6E77dG3WiIcaFHfHoYIAi7hYYW0vnq5pf5MrT/41Ji5O+iw93S7kCoh5si0m5Al6fv5XB2pDkEDrv7Uzjwo2Z22huptNoQkJQ2NlhYJqzz7guPp6w7yeQev487kuXYNk0lwJu6E3pdy2fQjTzik7Q0WF3B6yNrdncbvPHJUR+gOhilcSsfYguTgWiiHEJG+wHlMvU6znHZcWpiFx4C0Nnc6xbFSF69QOMi1hhP6TCay3vvUUQpN/G4CtgZCF1hDhXeOur1SjTuL5/NzcO7ELQ6anUvDVVWrbL0NH5qet5BaLzB8CnfpAWUEABHyfxe31IvRqO4yivTBOYBY2emDUP0AQlS63J5TIKUspHscSuf4Rxyde/IMsKvU6HPJubNa1KxYnVS3l07hQeFSrRdtR3mBfKufX6Q2TKhSkc8DvA1vZbKW1bGlEUWf1gNQtvLaSWcy3mN5mPpZFlunm0GjWbp35HfGgIOq2GJgO+wKttpzfajui0aJbdXcYun13IkNGjVA+GVByCo1nuKthHnBjBveh7HO56OEMbtFav5auTX3Et4hoLmyzMvCr3tTb6KSxvIIlkfba8mUj2vhDrK1kRBF2WWuTbL8i26jlT9DrY0EUSUYYclWxH8oNjU6Q28Q9d4P/UiXosfW9Kt5Gqj//JlWVwZAK0mQO1XtPOIyFYCvKLeih5Ktf+MsfvZtKZYJKOBGDbtwxmlTKKokKalvBZ1zEpZZNBmE65HEbCXl8KdSqORR3X9DM+2gfb+kP3NaSk1iVhjw9G7pbYDSyP3NwQ35vX2DP7J2p16UX93v05H3Keo9u3MzyyO8ZFrNFGpGBkEom9eggyM1vJoqZSb8kiQRTB54RU+Rz1CNyqo684DNmJ7zFwKQMDD+SrVcHrcMjvENMvT8dIboRar8bNwo2/Wv2Va1ujTd6bmHFtBo3cG/F749/zx3//HwQkBrDPdx/NijSjnG25bAU5n3gfVtxfwRH/I4hkfd9mLDemRZEWdCnRherO1V92DP18+We2P93O323+znrQ89wcyfKo0xKo2i/D28mnThEy8isAjDw9cRg7FstWLTNst6hMIXp0O2IvRKKwtsBm8HBi/vgD41Kl8PhlFPIHa+HhHkCEij2g1W+56y7wPSX5TysTwNxBmsfM7tXfciNIjYaUKOn5xd+qBGl+G09JaC7fBZwrvtVz5uhTo7kSfoV9nffhbJ4+oE9QqYheuIi4tWtRuDjjNGEili1bZPn/n3b7NqHjvkEfG4vT5EkU6tUrb+Ltpt4QdEmqds4hO+FtsPPpTn68/CPLmi+jnlu9d77+AtIjKHXEbX2CoNRhP7h85mG0uSTtdhRxW5+AgQyFrQmOIyun84z+KHiRmdJ0qjTYaqCAL06BxdvpcNXrdDw4fYxL2zeRlphAqToNaND7cwo5Z34t/KnreW9ddJbJZGuA9kCUKIoVnr9mC2wFPIEAoKcoivHZLadAdP50D9ICCiggPUknAlE4mmV60/uhoItREjHvJuY1nCT/ySwQVDqiVz9AG5aC/cD0ac3qwCSiV97H0NkMhy8qvV5rcCao09LYO/cXwp48onD5ShSrVpPi1WpiZf/qwiUmKID9C2YRFxZCnW59qN2t10vv4o+NK+FX+OLYFwypMISx1came2+/737+d/F/eFp78mfzPzPctCVERrDhhzGYWRViwNwl2Yr4OZGmTaPXgV6EpITQrWQ3hlYcmmF9OfEk7gk99vdgQPkBfFv925evC6LAxPMTOex/mJ/r/Zx50B2AKkm6ATa2zPz9fxPjAzsGSfYAI698XF7Dgh6uLpcqURVGUqWogVx6XRSlKjVRkP42UEi2GQaGksBlYCgJYA93QaelUPWz/NsuvQ42doPASzDocP57nxbw9tHrYE1LiPOXbDUs/nWuE0XY1Av8zkg3lXmpZkqLA5+TUueBTi0FV5ZsnqtZRb1I1J930MercRrnhdwifVV04rEAkk+lr3J+tckisWsfovJNxGl0VQwdX1k/CKkalH98Q1paddTq4piUtsH2s7Lp8gcOLJiF3+0bfPHHaowtLGi/uz1NkmrQ50kzEHU4GY/GsFYbaDI5c8FK0Eu+7Kd+lcI4zR1g+Pm8DxblIyqdilnXZ7Hj6Q68HL2Y1XAWgUmBjDwxkpI2JVnVclW2AX2iKPLXw7+Yf3M+zTyaMafhnAxdN/8VgUmBPI57jCiKCKKAgPDSPsRYbkw9t3pYGWXs+knVptJlbxdMFCZs77A9cwFd0MPfnaTq2GFnweFVh4EmOBj/bt0xKlwYu2HDiF68CI2PLybly+P47TeY160LgPLuHcJHDUIdpcK6fjmcfl+D3Nqa5NOnCRk1GtMqlfFYuRIDTRxcXQZX/pQq1tv9/qrr4N9o0qTBjesrwb60FA6ZFiN1tKTGSOKyMk46L5hYg7mjJAiZO0gPS2fJT9ql8jsZnD0Xco6vTn7FuGrjGFxhcLr30m7dJnzSJDQBAVh36YLq0SPUT55gXrcuTlMmY1ys2MtpRVEk/u+/iZwzF0NnZ9wWLMC0Qvm8b1D4XVjeEBpNhCY/vOnu5RmtXkvb3W1xMXdhXet1BdXOHxlx25+i8o7F4cvKOQbgfXCkxsAf1SUbp4EHIfwOrGkjDVoN2A+G+ReQqUxOwvfGVa7t20l8WAhuZcrTqN9gXEpm4sX/Dz51Pe9diM4NgRTg73+IzrOBOFEUZ8pksomAjSiKE7JbToHo/OkepAUUUMArlI/jiF37EJmRHOfvqmfrLfk+E7vJG5V3HM7f1cjocfkvhDQt0Svuo4tVYj+4AsZFrdFGpRG97C4Gpgocvqyc4eb/dVGlprDrt2lE+vtQrmFTQh8/JD48DACHIkUpXq0mJhZWXNjyN0amprQdNZ4iFavky7rfR1Q6FV33dUWGjJ0dd2basnw57DLjzozD3NCclS1WUqxQsXTvJ0VHITc0fKMqcFEUmXh+IkcCjrCixYo38l2cfGEyR/yPsL/LflwtXBFFkVnXZ7HReyNjvcYypOKQzGfUpEpBgCnRUKUv1ByW7mY/HTE+UjXa/W0gN4bua6BM29fe5veaWF/YPwaCrkiis8wAZM+fX/iXC3rQa0HQvgoSA6jztRRMmN+kxUmWBXqNJMp8TGL/f0VSuFSJ6Ji1tUSueXYcbqyBMu2hbIeMHqYXFsCJadBtNVTsnvkyUmOk76OpDXxxGoyyuInWqSH4KvieBr/TEHYHEMG2OPTZDA7Z3yj+G21EKpGLb2Na3g67vq8+i+yqnF+gT9YQueAmcmtjHIZVQvU0nrQ70aiexIFeRCELwczLCcuujTN07cQEB7Luu6+p1bkH9Xv05e9T45kTdpIdQeYUsa6MSY+RkliX4w4opeDOwjVzN/1bIiAxgG/PfsvT+KcMqTCEr6t+/dLL+VzIOcacGkMlh0osa7EsU3/jwKRApl+ezvWI67TybMWMBjMwNHg/BOc35WLoRUacGMHQikMZ4zUm84mSwuDPemDlBoMOgok1glpNYJ++aEJCKLprJ0bu7oh6PYn79hO9eBG6sHDMatfGpHQp4v7+G4WxHueR3bAcNiP9og8fJvTb8ZjXqYP7n0sxMDKSAj33fCkJo+U6Q9u56QeDQm7C7mFSKGbtkdDsf5IH+78R9NIjD577CTt2IDM2wapd2xwzMXKLWq+my94uKAwU7Oyw8+VgxT+rmw1dXHD59RfM69RB1OmI37yF6EWLEJRKbAd8jv2XI0EUCJ80meTjx7Fo1gzX335Fbv0GXttb+0nWImPugln+BwfmxObHm/nt6m+sabWGGs413vn6C3h7iKIIOgGZ4UdYILP7S7i/HUZcAMcy0msP98D2AVCpF3RZ/kYDWYlRkfjeuILP9SuEPH6IKAjYurrT4LNBFK9WM1cDNJ+6nvdO7DVkMpkncOAfovMToLEoiuEymcwFOCOKYrZXfQWi86d7kBbw8SOKYsGIei4QtXoi5t8CUUSfqMG8uhM2XbOuEn5f0QQnE7XkDpZNC2Pd0jNX8+hTNEQvv4c+SYNtz1Ik7PdD1Ak4flkZhV3OPnu5QZmSzM5fpxIdGECHcRMpUUPyoI0LC8H3xlV8b14j7Ik3oih89HYaL5h/cz5rHqzJMWDnSdwThh8fjlwmZ22btRS2LJzltK/Djqc7mH55Ol9V+YoRlUe80bIiUiNot6sdrTxb8VuD31h1fxULby2kX9l+fF/j+6x/i478AFeWSiLZ06OSoFm8qRS4VKKFJLD+W2yuORTqjn5r7X0fJKIoCc+CLnNRIr94ESxoVxwqdAXnSuBUQaqmKzjf5B5BgJt/SRWM2jRoOgXqjXs1oJBX1ClSRVJqtHQMKEygdFvJG7x4U6m6eVl9KNkCem3I/v/qRQhfxR5Q7HnAoDLu+XO8NEAUdkvabgMFuNeQpiveVLJzec3QyqSTQSQdD5RsnypIdgPZVTn/E+VDyRIKAxkIIgaWRphVdsCskg2GOxogs3CAtnPAvlQGMf7Agpn43bzCF1WC0ab60tyjMK0da/JTm6y9fd9HDvsf5sdLP2IkN+K3+r/RwL1BhmmOBBxhwrkJ1HapzeKmizGSSyKlVtCy9sFalt1dhrHCmPHVx9OlRJeP7hpy6sWp7Pfdz8Z2Gylvl0XV7NOjUsW/iTXUH0v40VgStu/M1EtY0GhI2LKFmGXL0MfFY+2ZhtOE8cibjMp00Qk7dxE+eTIWzZvhPn8+MkNDaeDw4kI4O0vq9mk7VzofnpsD5+aCpQt0XgrF8smaCohdvZqoOZLXsnHZsjh9N/5ltfabsPzucv648wcrWqygjmsdIH11c6HevXAc/x1yi/TfZV1sLFG/zyNx1y4Ujo7IjI3RhoXh+O232A4a+ObHYeRDaTCtwbeScP+OUelUtNnVhuKFirOq5ap3vv4CCsgz/udhXfvMvzNn58DpXyTLjYbj078nCOB/VhoAj/WFXuul68XniILA9f27eHzxLNGB/gDYuXtQokYdStSojVOxvIUwfup63n8lOieIoljo+d8yIP7Fv7OiQHT+dA/SAj5ulA9jid3kjaGzOcaeVhgXs8bI0xq5+cdRsZKfJJ0IJOlEEPZDK6DyjiPlUhhOY7K/wX3fEEWRmJX30Uam4fx99Tx5lOkT1UQtv4c+ToXMSI7D8EoYueUcsieKImmJCdkKxGlJiez4ZQpxYSF0/HYSxapmXuGhTE4iNjQY11JlPlo7jRc8jntM7wO96Vi8Iz/V+ynH6Z/GP2Xw0cFYGFqwrvU6nMyzri7VC3qW3FnCYf/DTK87nZouNbOc9kncE/oe7Es1p2r82fxP5Pnwuc+/OZ+/HvzFgPIDWPtwLW2LtmVGgxkvfTUzEHIDVjWH6oOh/TxJzLq5Fm6shuRwKezIqYIUglQgNr8/PD4oDRYkBL56zcxesmNwriT5+Fq5Zj3/p06cH+wbLQXRFW0kVd493C21wHdZnjt/139z8icpIHDwMUkovbcVHuySxGIzO0nMUiXCyKu5q1A/Pg0uLnj1b5lcqn5+8XCtIgnNnvUzVlS/JqJeIGrJHfRJGpzGVUMmQ6pyLlkIu37lcpw/6XQQ+jg1ppUdMC5mjczg+Y3rrfWw7+tXE1q6St0UDmXA0oWYi1tYd8uOWh4q6g/5hp/ib7LPdx8nup/Itf/xf82JwBOMOzOOqo5Vmd1wdrYWSbuf7eZ/l/5H08JNmdt4Lo9jHzPt8jSexT+jZZGW/FDrh0zDYz8GkjRJdN7TGRsTG7a025K1bUjYHTj9K4nHzxN2xQa7ttVwnL0aFP+w5dCqpCr/R3vR3z+EPjEFo54zc/RDj9uwkchffsGqQwdcZ818VWUc5Q17RkoDOhZOUmhk5T7Qema+ehHHb9lKxI8/YtW2DRZNmhK9YAHa0FDMGzTAcfx4TEpnH1wqiiK6iAhUDx+ifPgQ1cOHqB4+Qh8bm37CF8KRKGLo6vqyujk7lHfuEPHzL+hiY3Gb9ztmXl5vsqvp2T4Qnh6DsfffPFz3NVj3cB1zb8xlfZv1+RemXEABbwOdWhqk1qklC7t/dzyJIuz6QqqC7rkeynWE1Fi4s1EaTI/zA1NbyfLH2BIGHYJCHgCc27SW63t34FqqLCVr1qF4jdrYOLtKNkIHv4WYJ1CuE1ToDtZuOW7qp67n/eei8/N/x4uimEENkMlkw4BhAB4eHtUCAwP/Pcknwad+kBbw8SJq9UT8flMKNihkjDooGXQCAAonM4yLWWNa1g7jEoVe3ZR9ouhilUTMv4lpOamlV0jTEj7nBkbuFtgPrvDBVPkon8QR+9dDCnUsjkXdvIs9ujgVCXt9sGjgjkmJQrma58aB3ZxdvxpHz+KUrd+IMvUaYWH76kI+NSGe7T9PJjEygk7fT8WzUj4Fmn3A6AU9nx36jPDUcPZ13pchdC8rHsQ8YOixoTiaOfJXq7+wM814wxSviuf7c99zJfwKtia2JKoT+a7Gd/Qt0zfDcZyiSaH3wd4otUq2ddiW6fJehyRNEm13tSVRnUg913osbro465t6nQZWNHouhF1JL1zpteC9T/I2jnwI1QcViM3vI8oE6f8n8gFE3IOIB9K/rVwlvz+bIv/1Fr5fCHrJx/Xkz5IHd6tfJc9ukKqCjvwgCcTd10CR7MWZdMT5w5Jakids1xWvXtdpwPekJEA/OwEdF0KFbrlbpihCzDOpXd/UBoyt3knVryYshag/7mBayR6FnSnJJ4NwHJN5KG6eiPOXRL2YJxD9BKIfS2Gk2lRwKMuB2Jr4+YbzxR+rCdFF0nVf10w9abPjUewjnMyc8u33NLf4JvjS92Bfihcqzl+t/8pV4N9G743MvDaTMrZleBL3BAczBybXmkxTj6Y5zptbBL2e2JAgIvye4VS0BI6exXKe6R1wOug0o0+PZmSVkXxZ+cssp1P7+ODfrRsmDgYUqeuHrJA7NPpe+o4+2gNPjoAmWaqILtMeKvWUgm1zQczyFUTPn49N3744/2/qqzf0Oi6dmMDpoJOMrvUDlpV6vdnO/ovEAwcJ++47zBs2oPDixciMjBA0GuI3bCRm2TKElBSsu3TGdsAARJUKXVQU2qgodFFR6KKi0UWEo3r8BH1cnLRAuRzj4sUxKV+ek6q7hKSE0LtMbywMX31fDSwsKdSzZ4bq5qwQRREEAZk8nwsQop9Iv5P1RkOLnAf885s0bRqtdraion1FljZf+s7XX0ABueZFqGrf7VCqZebTaFWwtp10zVeqFTw5JHUqetSVCknKdpDOt2s7SAPrgw7z8PYjjiydT+UWbWg2ZOSre5PUGNjcWypEcaoAkfcBGRSpB5V6SCK0aeYFTp+6nldgr/EB8KkfpAV8vLxoUbX/oiImxQsh6gQ0Icmo/RNR+yWiCUxC1AhS+2lVR8y9HD+oqt78JGbtQ9R+iTh/Ww25tXSjlnwhlMQDftgNKo9p6dfzfvOO9SZJk4SXo9dbD+ARBZGoRbcQtALO46ohU+SPN192JMfG8Ne4Edi5S3YPEb7PQCbDo3wlytZvjEupMuyb+ytJsdF0+X4aHhUqvfVtet/RCTrWPFjD4tuLmdNwDq2Lts7T/DcjbzLi+AiKWBVhdavV6QTrhzEPGXdmHLHKWKbUnkJLz5b8cP4HTgefplPxTkytM/WlECGKIt+f+55jgcdY3XI11Z3zNxDuiP8RTgSd4Ke6P2FmmE2oyplZcOY36LMVSuftsyjgPSbkJmzoAkaWMGBfurbKT5roJ7D3Kwi5DqVaQ7t5Gat4wu9K1Xjxgc/tNsbmzm5jy2eSt/KoGx9FhfmL7iMUMkxL22LXP+cq59dCECQ7EnMHYkKDX3k79/6cIUeH4B3nzcoWKylvn3N42X7f/Uy5OAUPSw82tN2Q6wHFNyVZk0yfg31I1iSztf3WPIXArrq/ikW3FtGzdE/Geo3NNlwwNyTFRBP+7DHhPk+J8HlKpL8POrUaABsXNwbOW/redDJNODeBY4HH2Np+K6VsMlb2Cqmp+PfshT4hgaK7dmKY6i0NFoU+v2c2tZGE5nKdpWC/PHgpvyBy1mzi/voL17lzsW7fjuDkYOZcn8Pp4NMAtPJsxZyGc/Kt+CH51GlCRo3CzMuLwitXYGCSPktCn5BAzPIVxG/YgKjVpp9ZLkdhb4/C0RHjkiUxKV8O0/LlMSpdmnhSuRh6kSkXpzDGawxDKw7Nl+19K+z8QuqcGnP3PxnEXnlvJYtuL2Jr+62Us3tLv2sFFPAmxPnB0jqSkNzz7+ynTY6UuhVViVClD1QbmDGfIvg6rO9MiFiE7Q8dcC9bga4/TH8VgB7nBxu6SX763VZJYnWsL9zfIVnqxfpIIdmlWkG9MVJuwj/41PW8/0p0ngPE/iNI0FYUxe+zW0aB6PzpHqQFfJzoEtVEzr2BSWmbLNtRRZ2A0juOtFuRqJ7EgyBi6GKOmZcTZlUd8i087n1H+SiW2L8fYd22KJYN3V++LuoEIuffBLkMpzHVkMlzf8HvHevNkjtLOBtyFgAzhRl1XevS0L0hDdwbvJWW1dSbkcRvf4pt3zKYVXLIeYZ84MCCWfjeuMrAeUuxdnQmLiwU7wtneHzhDAmR4QAYmpjS9YcfcS/zGmnjHwGiKBKcHMylsEtcDrvMtYhrpGhTaOzemEVNF73WjeTF0IuMOjWKsnZlWdFiBeaG5ux6totfr/yKnakd8xvPfymQCKLA8rvLWXp3KRXtKzK/8XyczJ3Y+ngrv1z95b+9OYx6LLXule0APf76b7ahgLdH+D34uxPIjeDzva8CaD5VQm9K1T4KI2gzW/JKzur7r0qC/aOf2220kG7Csmut9zsjfdaZeSt+oIg6gag/7qCNSMVxdFWMXN9MDM0tBxbMwu/2Db74YzWxJDH02FAS1Yksbb6Uqo5Zd+rsfrabaZemUcG+Ao/jHlPVsSrLmi976wPOgigw+tRoLoZeZFWrVVRzqpbnZaRp07IfHMwFybExXNi8jkfnJbFUbmiIo2cxnEuUwqV4KZQpyZxeu4KO30yiZK039w3ODxJUCXTa2wlbE1v+bP5nOrFeFEXCxn9H0uHDeKxZjXnt2i/ekLxKRVGylXnD/19RpyPw8wGoHj/mws+dWBq3B4WBgmGVhqETdCy5s4SptafSs3TPN1oPQOqVKwQPG45x6dJ4/LUGuUXW3ylNSAhpV68it7VF4eiIoaMjcltbVKKGA34H8E3wJTQ5lJCUEEJTQlHqlAAUtS7Kjg47XvqEv5fE+MCSGlDrS2j92ztffbImmVY7W1HLuRbzm8x/5+svoIBsEUXY0FUSir++lrtBbHWKFHadTZZIws0DbPp9MSZGBvSdswITh+f5NCE3YVNPyYajzxbmRV0kPDWc3xr8JgXYiiKE35EE6LubIS1Wyo5oNBE8pDycT13Pe+uis0wm2ww0BuyBSGAasAfYBngAgUBPURTjsltOgej86R6kBbxfiKJI2q0o0u5EITOSY2CqwMBMIT2bGmJgbohJaRsMjLKvEonb8pi0BzE4f1Mdha1JttOCFCSnvBdD6q1ItCEpyEzk2H9eDuNihfJpz95PRK2eiHk3kRnKcRpTNUOivfJhDLHrvSnUuTgWtXM+6frE+7D07lKOBx7H0siSQeUHUaJQCc6HnudsyFmi0qIAqGBXgZaeLfm83Of54qEragUi5t7AwNIQx6+qvBM7kMD7d9jxyxTq9viMOt37pN8eUSTC5ynPrl2iVK16OJfI3hvwYyRRncji24u5EHqB0JRQANws3KjjWoc6LnVoVLhRrtqfs+Jk4Em+Pfst1ZyqUdiyMDuf7aS2S21mN5yNjUnG9rOTQSeZdH4SZoZmjKwykhlXZ1DLpRZLmi3J2mv5bSLoYU1riH0GX10Hi3czUFLAOybKG9Z1lG4mPt8r+T1/isT6wuqWYGQOg4+ClUvO84ii5Gt+eCLYl4TPdmTubajXPfddVEpezYY5n/M/FHSJarQRqa/dbfQ6xAQHpqt2jkiN4ItjXxCZFsmipouo7VI7wzzbn27np8s/Uc+1HguaLOB44HEmXZhE15Jd+bHOj699Tt79bDcqvYquJbtmeb5YcmcJy+4uY1KtSfQp0yfTad4mWpWKa/t2cmP/LkRRwKtNR0rXaYC9RxHkileCrCDoWTN2OKaWVvT95ff3wrYsPjyUnUtnEO3vR4yDngYNO9O8cS8sbGyJ37yZiOk/4TB2DPYjchewK4oiabo0zA1z3zUoiiJHr23CfsSvRFmJXJzWgTG1x+No5oggCow8OZLr4dfZ2G4jZWxff+BOefcugYMGY+Tmisfff6OwsUEraJl/cz6iKNKzdE+KWhfNcn6tXsvOZztZfm85McoYTBWmuFu6427hjpuFG+6W7hS2LEwVxypYGeWPv/tbZc9IeLATRt/J3e9xPvPie7ur4y5K2nx4oeUFfMTc3gh7R0LrWVA7598+URS5snMLOo2ayi3bYWWf8XpenZbG5qnjSY2NpK/7VWw8SkrXhAEXYMdgKWPis508QEWfg9J5rGepnkypPSX9uUKdIl0XXVwEaTGSlVGjicg8677clk+Rd1LpnB8UiM6f7kFawPuDPkVD/C4fVI9iUdibglyGoNQhKnWIWuHldEZFrLAfXD7LkDh1YBLRf97FsklhrFt55nk7tBGpxG7yRherwrZX6XdWNftfkHgsgORTwS8tSP6NKIpEr7iPLioV5+9qYGCS+WcemBTI0jtLOex/GDNDM/qX60//cv3TXXiLosjT+KecDTnL2eCz3Iu5x7fVvmVghYFvvB/JZ0NIPOyf5X7kN3qdlr+/H41ep2Xg3KUojN7jipb/AEEUGHVqFJfCLtHArQF1XetS17UuhS0L5+uN9gG/A0w6PwkRkaEVh/J1la+zHcTwifdh9OnRBCcH42TmxPYO2zMVqN8JV5fD4e+h8zKpHa+Aj5cYH1jXQRJF++8G17fs6y7opaoYEUmAVfzjYWgChmY5+xKLouT3+/igdFNkX0ryNCxSP++ibko0rG4B6iQYcjzvViN+Z2BLP8nvvN/OjG2rL75LvTZC2fZ5W3YBmfLPamdTSytilDEMOz6MwMRA5jeZT0P3hi+n3fJ4C79e/ZUGbg2Y32T+S3H4j9t/sPze8jx7Qr/ghd8ygJOZE8MrD6dzic5S5ddzTgWdYszpMXQq3omf6/38ToVcURB4eO4UF7b8TWp8HKXrNKBB34FYO2YdUHnn2CFOrl5Kr2kzcS/3+gNQgqBHFMRXrdl5RK/TcWP/Li7v3IxcYYhTpXL43LuBsVSsi72zK4Xue1PYsxgVlizDyDTr6r0XxKnimHR+EjcibzCjwQxaFGmR4zzJmmS+O/cdF0Mv0jnCnb5/BWDz2Wc4T52Sbrk99vXA1NCUre235krQfhny9+QJ6idPUT95Qsq5c8htbCiycQOGjo6odCq+Pfst50LOoZAp0Ik6arvUpneZ3jRyb4TCQPps9YKeQ/6HWHJnCaEpoXg5ejHGawxVHau+FwMHr02cPyyuBjWGQtvZ73z1CaoEWu1sRaPCjZjd8N2vv4ACMuX6ajg0HgrXljI55Dn/xl7esZlL2zcCIDMwoFStelRr1xmXkpK7r6DXs2f2TwTev0O3ST/hYRgGW/uBTVGI8wWXKtB3G6K5PQOPDCQgKYDWnq3Z9HgTP9T8gb5l+2ZcqSZV2tZLiyA1Gtn0JODT1fMKROcPgALRuYD3AeWDGOJ3+yCodFi38sSivlu6cD9Rq0dQ6lA9SyB+51OMClthP6h8BhFUFESilkqp787fVsfA+PWqaIU0LTF/P0ITkIR1u2JYNsg5OfZDQxfzPDywoj12vbOuHtGEphD1x20sG7pj3SZjFYh/oj899vfAQGZA3zJ9GVh+YI5J96IoMvb0WC6EXmB7h+0UK/T6wTq6RDWR829hXMQS+0Hvporw+r6dnNv4F10mTKOYV413ss78JDApEEMDQ1wt3o7v6ZoHa5h/c/47qTw7G3wWQwND6rrlrl05UZ3IsrvL6FC8w3/nJZgQBEtqS21x/Xa9k2CyAv5j4vylimdVAny2HTwyVou+MSlRcOtvuLkWEoOzns7UFpwrPn9UApdKYPe80iz4Cjw5LInN8f7Sa47lpO3XKUFhCsUaQckWULLlyyT2LFGnwLr2kpXMwAPg/pre6eH3YGN30Kkk//MXAYOpsbC4qiTk999T8F3KJ/5d7QySSDT8xHCexj9ldsPZtCjS4qUw3LhwY35v9Hs6SwFRFJlwbgKHAw4zv/F8mhdpnuv17/HZw9SLU2nu0ZwepXuw5M4S7kXfw93CnZFVRtK2aFsCkwPpe7AvnlaerGuz7o06Z3KLRqUkJiiAqAB/7p88SlSALy4lStN4wFBcS5XNcX6tRs3KrwbjUqIUXSZMy/P6k6KjuHfyKA9OH8PI1JQuE3/Exjlv5/FwnyccX76Y6KAAStaqS9OBw7GwtSNVk8qvByYRdv0G9bzNSDIykr5PMhk2zi7YuRfB3qMI9oWlh62rO7LnXuu3o24z/ux4ElQJeFh54Jvgy4SaE/is7GdZbkdYShhfnfyKgMQAvq/5Pb1K9yJ65mzi1q3DbdFCrFq+Cu66EXGDIceG0NqzNTMbzMxS7E06dIi4TZtQP3mKkJz88nVDV1dMypfHccL3GLm7k6JJ4etTX3Mr8hZTak+hqUdTdjzdwfan24lKi8LZ3JmepXpS2Kowy+8uxyfBh7K2ZRntNZp6rvU+bLH5n+wbBXe3wKhbUKjwO1/9vJvzWPdwHX82+zPX13AFFPBWEEU4OwvOzICSrSTLO6OcB7junz7GsWWLKN+oGXW69+X20QPcP3kUjTINl1JlqNa2E6FPHnH78H6aD/2Kyi3aSDM+3CNVOJdsIYUmG5lzMvAkY8+MZWrtqXQv1Z2xp8dyNuRs9t8PTRrcWIOs3qjnu/Fp6nkFovMHQIHoXMB/iaDSkbDPl7RbURi6mmPbqzSGTtn/yKfdjyFu82OM3C2wH1whnfCceiOS+B1PselVGvOqbxaOIWoF4rY+RvkgFov6bli3LZpOCP8Q0Kdq0QQmgVyGzEAm2WfIZcjkMhKPBaIJTJLCA62yv1mL2/aEtLvROH+b0a5k/NnxnAs5x95Oe3GxyH2LXowyhi57u+Bu4c76tutfVpXkBbVfArGbHiNqBBy/qpzjsZMfvAgPLFyhEl2+/99bX19+IooiW55sYc71OZjITVjUdFG+B+jdirzF4KODaebRjLmN5n48N2f5hSYNtvWHwMsw8jLYFPmvt6iAd0VCMPzdEeIDoNYIaDIJjC3fbJmiCIEXpYoX7/0gaKVAr6r9wcQatErQqSXBWKsCbZq0/oh7EPkI9FLAGXJjqYJZlSh5UBdtBGXaQqk2Uuu1VgkBF+HZUXh6FBICpfncqkHd0ZIv+b+7DPRa2NwHfE9B701vHpQZHygF7SQGvwraOTAObq6DLy+99MxOOnKU6IULQW6ATGGIzNAQmULx8hnDF3//4z2FAsvWrbCoV+/NtvEj4t/VziBVpo48MZJ7Mfdo7dmaQ/6HaO7RnNkNZ2fq3azWqxlydAhP4p7wV+u/qGCf88DwicATfHv2W2o51+KPZn9gJDdCFEXOh55n8e3FPI57TDHrYugEHSnalDwHB+aFCJ+n+N+9SXSgP9GB/iRERkjfOcDKwYn6fT6nTN2GeTrPXd65mUvbNjJgzh/Ye3jmOL0g6PG/fYN7J47gd/sGMmR4VvEiwucpAJ2//x+upXK2ndColFzcsp5bR/ZjYWNLs8FfUqJG+sEvQa/n2oCumN96ypLBzvSsMgKTeB0xwYHEBAeREB6GKEqdh5Watab5F1/x96O/WXBzAS4WLvze6HeKWhdl4vmJnAw6ycDyAxlXbVwGC6v70fcZdWoUGr2G+U3mU8tF8iUVNRoC+n6GJjCQort3YeT+Kmdk+d3l/HHnD36s8yPdSnVLtzxRFIldtozohYswKlEcsxo1MClVCuPSpTEuWRK55avf2XhVPCNOjOBp3FN+rf8rbYu1ffmeTtBxJvgMWx5v4WrEVQA8rTz5uurXtCjS4r+x4nqbJATBklrgUBoGHsyVyJavq1clMPjYYPwS/Piuxnf0LdP3nV4zPox9yMp7K6njUodmRZq9lbyZAj4ABD0c/BZu/gWV+0LHRbnyqve/fYPds3/Co0JlukyY9rLzRKNM48GZk9w+vO9lvo9Xm440GTgs/QJSosDMHgwM0Oq1dN4rdfLs6LgDhYGCNG0anx/+nLCUMDa03ZBtgdanrucViM4fAJ/6QVrAf4faL4G4rU/RJ6uxbFwYq6YeyBS5u6BTPoghdtNjDN0scBhcAQNTBYJKR8TcGyhsTXAYUTlfBGJREEk84EfKpTBMK9lj26M0MsP02yiodOgT1RhYGCE3fzuBOaJOQHk/Bk1YChb13VBY51zRowlNIWbdQ4QkTZbT5LaKW5+oJmLuDYyKWmNRy1naV0sjnmp86XW0N8MrDefrql/naZ8AjgQc4buz3+U5zE0URVIuhJF42A+FnSl2/cth6PhmIUC55d/hgR8KSZokpl2cxomgE9R3q09IcghhKWHMaTSHph5N82Udcao4euzvgYnchK3tt2Jh9G6Cr9570uLg2TFJFPQ5KQmAufSKK+AjQxkPJ3+CG3+BpQu0mSWJp3m50RZFiHkqVSTf3SzZYJhYQ5XPoPpgyf84N+h10nIi7ksitCoRSjSHEs2yF8NFUUpSf3JYukmL8wPbYlB3FFTuIwXpiCLs/QrubIQOi6DagNzvX3akxkqBO2G3oM7XcPkPqDlM+hwBUa/Hr207BK0G0woVEXU6RK0WUadF1GpBq/vHa6+ehaQkRFGk+OFDGDplbY/wJmijoki9cBGr9u0w+AAsmV5UO5ep25ASNepgZmUlic9mRky8PpWrUddoWaQlMxvOTGd58W9ilbF8dugz1Ho1m9puynZw+lLoJb469RUV7CqwvMXyDOF+gihwIvAES+4sISg5iBUtVlDD+e10G4U+fsS2n35A0Osp5OyCQ5GiOBYphoNnURyKFMXSzuG1BDJlchIrvhpE6dr1aT1yXJbTiYLA9f27uHP0IMmx0Zjb2FKxaUsqNm2Jlb0j8RFh7PptGilxsbQd8x0la9TJdDmCoMf7/BkubF1PSlwsVVq2pX7vARibZbxmilm5kujf56EfM5Cx9seJU8VR26U2tVxqUdO5JsUtipIQHsaN/bt4fOkcIX0Kczz+HM08mvFzvZ+xNJJ+N/SCnlnXZ7H58WbaeLbhl/q/vKyCPx54nEnnJ2FnasfSZkszCCma4GD8u3TFqFgxPDesR/b8u6IX9Iw4MYLbUbfZ1G4TpWykrAyNRsnjH8ZhePAst6pasq6jBU2KtaBN0TZUdqic7v8oIjWC4ceHE5oSyrzG89LZxPwbvwQ/gpODqedW77WKIj4YnhyBLX2kzpVeG3NlJ5CfpGpT+eH8D5wOPk3Xkl2ZUmvKWw8fBWlArPu+7oQkh6ATdRjIDKjmVI2WRVrSvEjzAgH6Q0OTBoJOsuHKC1oV7BoqXZ/XGwvNf8zV9Viknw9bf5xIIRdXev84EyPTjL+ngqDH79YNYkOCqNGhKwbyrLuvNzzawKzrs1jSbEm636XwlHB6H+yNuaE5m9puyrKT+FPX8wpE5w+AT/0gLeC/QRuVRtTi28itjbHtVRqjwnmv9lI+iiV2ozeGLuY4DK5A8tkQks+G4PhVlddaXlaIokjK+VASD/lj5GGJwtEMfaL6+UODqNZLE8rAqLAlJqVtMSlji6Gr+RuP2OsS1aReDSf1WgRCihYAA3MFtj1LY5JNsJDyUSxxmx9jYGaITbeSyEzkoBcR9cLzZxGZsRzjYta53sbks8EkHg7IuC4DNeY2VlhUdcKivluWvs9Z8e2ZbzkVfIqt7be+vInIDkGtJ37nU5T3YjApb4dtj1J5Xufr8iI8sE73vtTtkYnH1nvKveh7fH/ueyJTIxlbbSz9y/UnUZ3IVye/4mHsQ6bVmUbXkl3faB2CKDDyxEiuR1xnQ9sNlLXLudX4oyYhGJ4ekS5kAy6AqAdLVyjTThIZizYssAL4lAm+LlXpRt6XWjnbzsm+6l2vg6DLktD79LAk9IJUaVxtEFToBkbvZuAtHYIeHh+ACwskIdjcAWoNB1WS5DXY+AdoPDF/16lJldpSnx6RrEJG3wJTyZs9+cQJQr4ehdv8eVi1aZP7RQYH49euPZYtWuD2+9x83VxdTAyxK1cRv2ULolqN7cCBOE2ckK/reFscX/EH904eyfQ9o0JWdPv+R1yL53ze9k3wpd+hflgZWdG5RGeaFWlGyUIl011/3I66zbBjw/C09mR1q9VYGVmh02qRKxQZrlP0gp5ETSK2Jm8nYDE1IZ71E8dgaGxMn5/nYmZlna/LP7V2OXePHWLo4tVY2mUUt0RR5OSaZdw9dhCPilWo0qItxarVzODhnJaUyJ5ZPxHu+5SmA4dRtXWHdO8H3LnJuY1/ER0UgHPxkjQeMAy30pmfm1OvXSNo0GDpOzB/HvHqeJbfXc7l8Mv4J0pWO9bG1tRwqkFFo5LELT7Iw2IpNPlsCP3L9c/wfySKIn89/Iv5N+dT3ak6C5suZOfTncy/OZ9KDpVY2GQhdqZ2mW5L0pGjhI4di+3AgThO+P7lsmOUMfTY3+NlUPVl39NU++M0lXx07Kkrx69XbcyNLDgfch6NoMHV3JVWRVvRtmhbzBRmfHHsCxI1iSxuuvitDVZ8kFxfDQe/gepDoN3v7/zaRBAF/rj9Byvvr8TL0Yt5jedleWxkh1+iH55WnrmqSF9wcwGrH6xmeYvlOJg6cDTgKMcCj+Gf6I8MGdWdqzOx5sRc3ZcU8B8j6GFNKymwuM8WybouF2y7vxbhxhoahj7AtdkvUGdkruZLjIpg05TxKIyM6PPzXCxs3uw8lKhOpN3udpS1LcuKFisy/JbeibrDkKNDqORQiRUtVmQ6KPOp63kFovMHwKd+kBaQP4g6AVGjx8As59FpUSsQteQO+mQ1TqO9kOeiajcrlN6xxG7wxtDBFG20ErMqjtj2eDsXCGl3oojf44vMUIbc2hiFtTFya2PkhYyRWxmhi1GifByHNiQFAAMrI0xL22LkYYmg0SOkSaGIglKHkKZFUOkxMDdEYWOM3Mbk1XMhYzThqaReDkP5KBZEMClji0UdV+SFjInb5I02Ig3LJoWxal4Emfwf3teiSMrFMBIP+mHoaoH9gPLIrfKvokqfpEafpEGfosUv7Bk7b2+jmV0jSgnFUD+NR2aiwLKBGxb1XHMtBMep4uiytwtOZk6sq7GKxE3PQBQxKmyJURErjApbYuhkjkwuQxujJHb9I3RRaVi18sSykfs7a8X7Z3jggLlLMDR6+/6Rb4ogCqx/tJ4FNxfgaObInEZzqORQ6eX7ado0vjnzDRfDLjLGawxDKgx57c9z5b2VLLq9iKm1p9KzdM/82oUPhxf2A74nweeEVEEKkldu2fZQpoPkO2vwkbXnFvD66HVwbTmc+hVEQbrhMbWRRFVNilS5o0mVKpCDLkt+0C+sL0q3hlKtwdo9x9W8E0RRGly5uBB8jkuveX0uVTm/jd9ovQ4uzAM3L6k6+zkBfT9DFxlJ8aNHJCuNPBC9aBExS/+kyPq/Mavx5oKULjaW2NVriN+0CVGrxbpjRxD0JO7dR+HVqz4IKw9RFEmNj0OZnPTykZaUiDIpifunjiJXKOg3YyEmFjl3tdyMvMmiW4u4HXUbEZHCloVp7tGcZkWaYWhgyJCjQ7A3tWdt67WI0cncOXaQR+dOY25jQ/uxE3Eq+iqAUhsZSdKhwxh5FsG0UiUUdnkXqLJC0OvZ/stkInye0ffX33HIhQVGXkmKjmLV6KF4telI488zdnld3LqeK7u2Ur1DVxp+Nijb87JWreLgorn43rgiTd93IFGB/pzftJbAe7exdnSifp8BlK7TIMvl6KKj8evaFbm5BZ47tiP/1/9nVFoU1yKucS38GlfDrxKWGkbru+64x1swctl6DI2zDhc96HeQKRenYGFoQYI6gVaerfil3i+YKLIPJI346SfiN23G0MMDq1YtsWzVGpPy5bgWcY0vjn2BVYrA1B0GuEfoSBrdi0pDx78MGUzRpHA6+DSH/A9xJewKOlGHQqbAwsiCZS2WUd6ufLbr/iQ5Pg0uLoAWP0G9Mf/JJhzxP8KUi1OwNbFlcdPFlLYtnav5tHots67PYuuTrXQp0YXpdadn+515GPuQzw5+RsfiHfmp3k8vXxdFEZ8EH44GHGXbk23YmdqxrcO2bDs5CngPuLwUjv4gWVWok6HrCijfOdtZrj/czOAbv738d4lCJWjo3pBG7o0ob1OOpPBwzAvZYGpp9dK7HqSBvi3/+x5lUiK9f5qDnXthkjRJHPI7hKe1J7Vd8p7XMef6HNY/Ws/2DtuzPOYP+B3gh/M/0K5YOxq7N0alV6HWqVHpVWj0GoZVlqw7PlU9r0B0/gAoEJ0LeBMElY6UK+GkXAhF1ArYD6mAsUf2rS3xe3xIvRKO3cDymJZ58yoV5eM4Yjc8QmZggPP46vkqsr4O+mQNqifxqJ7EoXoa/6oSGpCZyDEwVWBgZoiBsRx9qhZ9vApRI2RYjoGZArMazljUcknnoyxo9JIP9o1IjIpaYdenDHIrY0S9SMIBX1Ivh0sVwL1KY2CU9yBFQRSQIcv2gk0URQYeGUhwcjAHux7EVGGKJjSFpJNBqB7FIjN9Lj7XzZ34fCLwBAuOzGZh2A+YGppiVNgSTVASQqpO+tyMDDByt0QTmoJMLsO2TxlMStrked9yIik6in3zZqBOS8HYzBxjMzOMTKVnZXISfreu0/n7/1G8Ws18X3d+kKxJJiQ5hJCUEEKSQ7gUdokr4Vdo5tGM6XWnY22csVpLq9cy+eJkDvsfpl/ZfnxX47s8+xZej7jO0GNDaVWkFbMazvp0fJxFEe5sggc7IPCSFHKmMIEi9SSLghItwKGgSqaAHEgMgcMTpIrhFyhMJX9NIzMwspAGLEq3gWJNwPg9t62JeADBV8FrwDtt1U67fZvAPn1xmjwZ2/798jy/oFTi264dcgtLiu7ama1orU9KInzaNPTxCSjs7JDb2aKws0dhZ4vczg7lrVvEbdiIqFZj3aE99l9+iZGnJ4JKhX+37ghJSRTdtxeFTf6fx94VYU8fs/XHiXhWrkrn76amuzHPjhhlDKeDT3My8CRXw6+iE6XzvKupCz87jcb/zAVCHj1AbmhIqdr1CX54D2VyEo0//4LKLdogpKQQ0LsPGl/fl8s0dHXFpHIlTCtWwrRyJUy9vF77PHR2wxpu7N9F26+/pWyDJq+1jNxwaPFcfG5cZdiSv9KJ9jcO7Obs+tVUbNqSFsNG5Wo/BEHP6bUruHP0IPaFixATEoSJuQV1uvWmUou2KAyzFs1EnY6gIUNR3r2L59atmJTO/pwliiIRqRGk+oey95cfaTHsayo1y96v/Wr4VSadn0SnEp34uurXubrGELVaEvbsIfnIUVKvXAG9HkN3dyxbtSSiuA1Gi9cjS0jGbf48LBs3znI58ap4jgce52bkTYZVGkbxQsWznPaTRhAkm4EHO6Vgswrdcp4nt4iiNLD6b9//THgY+5DRp0aTrElmYs2JdCreCXk280WnRfPt2W+5HXWbqo5VuR11m5FVRvJl5S8znV6r19L7YG/iVfHs6bwHK6PM71lPBZ1izOkxfFPtGwZVGJS7/Szg3RMfCEtrg2d96LxMsooJvgYtf5YsuP79+6nToD87i15+G0iWG7Koxg9cMdBxPuQ8NyNvIur0tL3uil2cdP43UCiwtLXDwtYeSzt7YkOCiAsLoceUX4m3F9j6ZCtH/I+g0quQy+T8Wv9X2hVrl+vND04KpuPejnQo1iHdAEhmLLq1iJX3V2b63oOBD4BPV88rEJ0/AApE5wJeB32KhpSLYaRcDkNU6TEuUQhdvAohRYvD0IpZ2lsoH8QQu8Ebi/puFGqftSF+XtGEJCPqBIw987cF8k0R9QL6eDUyUwUGJop0VckvpxFFhDQd+ngVungV+ng1BhaGmFW0R2aY9YVW6q1IEnb7IDOSY9O1BKnXIlA9iceioRvWrV8v9NA71ptvz36Lp5Unvzf+HVOFaabTnQ85z8iTI5lSawq9yvRK954mNIWkE4GovOMwMFNg2agwFvVcs/Xr1oSmELjsKmliGiYDilK6ZAVEUUQfp0ITlIw6KAlNUDIGpgpsupVEYZN9hczrIOj1bP1xIjHBARTzqok6LRV1WhqatFTUyjQ0aWkU86pB21Hj833dueF6xHVuRN5AqVOSpk1DqVO+/DteHU9oSiiJ6sR089ia2DKs0rAcw1kEUWDO9Tls8N5A26Jt+bnezy/9F3MiRhlDz/09MTc0Z0v7LS8rjT569Do49C3cXCtVM5dsIQnNRepJnrYFFJBX0uKk8BpDs1zdnBeQnpDRY0i9epWSp05iYP56v0NJR48ROmYMTlOmYNvvs0ynEVQqgod+Qdrdu5iWL48uLg59bCxCauqriWQyrNq1w37kSIyLFU03v8rbm4CevTBv2BD3PxZn+9usvHuXxH37EVJTEdLSXj2npYEgYP/VSKxav2FA4xtw+8h+Tv21nPq9P6dWl7x3uCRpkjjjf4oHhw9RyDsNZUICVg5OVG7RhgpNWmBmZU1aUiKHl8wj4M5NStWqR7mHPmiuXqPw0iUYmJujvHsP5f17qO7dRxsaCoDtgAE4/ZB3W5enVy+yf94MqrRqR7PBmYtWOSGkpqKNjEQXE4M+NhZdTCy6WOlvUafHwNQUAzNT4nVaDty+SLVylalSwQtRq+WJz2Mu3r9BEXtn6hcvj0yvw6RUKczq1MHQMftwbFEUubF/F1d3b6NSizbU7NQdE/PsB6hEUSRyxgzi/16Py2+/Uahrl1zvpyiKrJ84BkGnY8DcJTmK46IovvZAgC4+npRTp0g6epTUS5dBp0NuZ0fhZcswrZhzOGUBuUSnhvVdIOQ69N8Dnm/YjaFJhdsb4coSMLKE4edy1e0VnRbN+LPjuRV1ixKFSjDWaywN3TMGdt6JusM3Z74hRZvCT/V+olWRVky5OIV9vvv4ud7PdC7ROcOy/7z7J0vvLGVRk0U08ch+UGnUqVFcDb/Knk57cLVwzdOuF/AOEEXY2F0K5v7qKhQqLHUd7h4Bj/ZAjS+kvIcX11Nhd2DPSLYrA/jJ3o65dabTqtQra8FEZQLbZv+PxEd+eJdXkySmYq6S4yzY4KCzwkQJMp2IRRsvDhpe41HsI0wVprQr1o6OxTvyx+0/uB5xnSm1p+S64/ObM99wIfQCB7ocwNEs+994AP9EfwRRwFhujInCBCO5ESZyE4wVxs8/kk9TzysQnT8ACkTnAjJDUOkQdQIIIqIgSj7Agoio1pN6M5LU65GgFzAtb4dl48IYuVuiS1ATveIeQtpz4dk9vfCsi1MRueg2CnsTHEdUznVoYAFZo41KI3ajN7rINDCAQp1KYFEr65Ce7Njvu5/pl6djbmhOgjqBKg5VWNJsSYYwOEEU6H2gN0maJPZ33p9l4IcmJJmk44GonsSjcDClUKfimJTIWNWlCU4mevUDMJLxjfscdIVgS7st2QeJCHop/CrwEgRehKhH4FReajv3bCAlcefx5ubClvVc3b2VdqO/o0y9Rnma920TlhJGu93t0Ak6jOXGmCnMMDM0w1RhipnCDEsjS9wt3XG3cJeeLd1xs3B7GeqTG0RRZPWD1Sy8tRAvRy8WNFmAjUn2VXjBycGMOz2OgKQANrbdmOtWyA8eVRJsHyhZaTT4FppMKbDNKKCA/xBNUBC+rVpjN2wYjuPGvvZyRFEkeMgQlA8eUvzIYRS26buxRJ2OkLFjSTl5Crff52LVtu3L9wSVShIZY2OR29hgVLhwluuJ/WstUbNm4Tx9Oja9Mt6ciqJI/ObNRM6YiczQEEWhQhiYmyEzM8PAzAwDM3O0oaGoHz/GYexY7IYP+086TERR5NDiuTy5dJ5uk3/Co0JlIn/9DW1ICHJbWxS2NshtbF/+rXBywqhoUQyMpRvkuLBQDiyYSXSgP0UqVaVq6/YUrVodg38NuoiCwLV9O7m4eR2mag0t2nalxLCMQay6mBiiFy4kYfuOPFuYxIWFsHHSOOzcPOg1fSZyRd5b6lWPHhHYr780KPBP5HLktjbIFIaIaWkISiWiRsO1oi4kmRrRxDuIaCszbhVxwj5FSTX/cORyycta1Ep5HsYlS2BWpw7mdepgVqMmcovMB1ZyK+6Kokj0/AXErliBzef9cZ40Kc/7+/DsSY4snU/3Kb9QpGKVPM//OugTE0m9ehXTypXfWujnJ01anOSPmxIJvTdL19Omtnm7xkmOhGsr4PoqyRbKpijE+0PfbVCqVa4WIYoixwOPs+j2IgKTAvFy9GJctXFUcawCwLYn25hxbQbOZs4sbLrwpfeyVq9l5MmR3Ii4wZJmS6jrVvflMp/FP6PngZ60KNKC2Q1n57gN4SnhdNrbiZrONVnc9PkAYdBVSAyG8l0Lrvv+a+5tl6rz/x3MLQhwYpqUK1GqDXT5U7LgOP87yRYOtHe2wdO2NGtbr02ng51YtYR7J47QZOBwqrRux9P4p1wMvcilsEvcirqFTtC9XEWJQiXoWbon7Yu1f3mvpdKp+Pbst5wLOce4auMYXGFwtpt/O+o2nx/+nJGVR/Jlldcb5HzBp67nFYjOHwCf+kH6qSOKIkKSBk1oCprQFLTPn4VkTdYzyWWYVXXEspE7hg7pg4t0CSqiV9xHSNPhMLQCBo7GPDh9nFK16pOyyR9tZBpOo6uisPvvKwEDEgOwNbXNsrXqQ0HQ6Ek+E4xxsUKYlCiU5/m1gpZ5N+axwXsD1ZyqMbfRXG5E3OCH8z9QxrYMy1osS2fLcDTgKOPPjue3+r/RoXiHbJYsoXwcR8I+X/RxKkwr2VOoXbGXPt7qwCRi1jzAwNwQh6EVOZ9ymdGnR9PQvSHT6kxLP+qbFAZ3t0hCc/BVUCdJr9t4glMFCL8rXQgCmDtKrVZFG0otgjmkGQc9uMv2X6ZQoXFzWo34b7zssmP65ens9dnLwS4HcbF4vUGF3HLI7xBTL07FydyJJc2WUNS6aKbTnQs5x8TzUiXZ7Iazqe9W/61u13tDYihs6glR3tB+PlQb8F9vUQEFfPJE/PQzCdu3U/zkiRwrQnNC7euLX6fOFOrSGZeff375uiiKhE+dSuKOndlWQucGURCkaulbtyi6ayfGxV51fglqNRE/Tidx927MGzXEbc4c5FYZz2GCRkP45Ckk7d+PdefOuPw0HZlR5h0qoiiSevESynt3sR86NMvpXgeNSsnGSd+gTE6iU8PWJP36G0ZFiyKkpaGPi3spmr7EwACjwoUJL+zMzdR45IaGNO/ej9IdOmUrlsZv3syjubO5V7YoakSaDhxOpeYZq7xfWpgkJ1N0755cWZhoVEo2Tf6WtMQE+s1ciJW9Q54/B4CgoV+gun8fpymTUdjbI7ezk54LFcpgPyLq9QTeusHOuT9TtkYdnt6+jqNHUbpNnIaRhSUyuRxREFA/fkzq5cukXrxE2s2biGo1KBSYVqiAadWqmFapgmnVKnk+7qP/WELMH39QqGdPnKf/+FqDFjqtlpVfDcK5eEm6TJiW5/kLeE+JD4BVLSA1Svq3TA7m9tK1tYWjFBhrapPxoTCCe9vg3lbQa6Xg5LqjJe/9BZUku7HP9+ZpU7SClt3PdrP0zlJiVbE0LdwUSyNL9vrupb5bfWY2mCndo0TchxM/QtkOpJTvwoBjgwlNCWVd63WUti2NTtDR/1B/QlNC2dN5T65DSNc+WMvvN39nQZMFNIsOhoPfgqADjzrQYaEkyhfw7kmNhSU1pAGNIccy7w67thIOfy9lYehUULkPc53d+fvpNra235ou8PzKzi1c3LaBGp2607DvwAyLStOmcT3iOg9iH1DbpTZejplbOGkFLZPPT+ZwwGG+qPgFo6pmtEgSRZFHcY+Yfmk6scpY9nfZj5nhmwVBf+p6XoHo/AHwqR+knyqiTiDxWCBptyIRUp7fEMhA4WCGkZsFhs7myIwMwEAm2TQYyCRriMh7GJXxRFGkRJbL1sWrpIpnlR4/+8dcO7eTWp4d8ZSVxbZPGcwqv97FfH7yMOYh/Q73w9rImql1ptLMo9l/vUn/CbHKWMafHc+NyBv0K9uPb6p/8zIw40zwGb458w2e1p6saLECe1N7dIKOLnu7oDBQsKPDjmx91v6JqBVIPhtM0plgZAYGWDX3wNDFnNj1j5BbGWP/RUUUz4Xojd4bmX9zPkYGRoyvMZ4uJbogS4mCVc0hMQjsS0stf0XqSRd91m7PVyJKF8oB58H/PPifg5QIKN0W+mzOctvSkhL5+/tRGJma0X/GAgxN8t+6400ITQml/a72dC/Vncm1J7+Tdd6JusOY02PQCloWNF5ATZdXHtaCKLDs7jKW3V1GadvSzGs8j8KWWVf0fVSE35MEZ3UK9Fwn2WkUUEAB/ym6+Hh8mjTFql1bXH/9NV+WGTlzFnHr1uG5bdvL9v2o+QuIXb4cuy9H4DjmzQcntZFR+HfqhKGrK55bNiMzMkIbFkbIqNGoHj7EfuRI7L/+KluvZFEUiVm6lJjFf2BWowbuixchL1Qo3fupFy4Q88cSlHfvAmDTrx/OU/L3XBIbGszGH8ZhkZhMYwt7iq5fj8zAQCpsSE1FHxeHPi4ObXg4qY+fcOXuVfyUydikqqgSGIGpVo9J5Uo4fD0K8/r1Mtykp166RNAXw7CoXx+7mTM4tHQegfduM2j+MmxdM4Zpqh49wr9XbyybNMFt4YIcMyoOLpzN0ysX6Tb5p9eu2E29do2gzwfg+N132A3JvsLtn+veOGkckX4+2Ht40mvazGxDGQW1GuXt2y8FaNWDB4gaqUjE0M0N06pVMateDav27TOEAf6TmOUriJ4/H+suXXD59Zdc+3FnxsVtG7myawuDFyzHxrnAguCjITlCCrBNiZaqnlOjIOX5IzUGlPGgSX45eUiaFYfDSlPcKpHGretjUO9rsPuHf/b53+HkTzDyCjiWzWSF2ZOmTWOD9wbWPFhDqjaVLyp+wVdVvpLuQ+5sggPjpPsAvRpcqxLZdAqf3Z4pfcfabeSI/xF+v/k7cxrOoXXR3FsSaQUtvQ/0JjExiL1+zzAv3gzKtIeT06VrwQbfQP1vwPD9unf46Nk9Au5vlyxbnLIJBn1yRAodrj+OQJdydN7bmY7FOzK97vSXk9w/fYxjyxZRrkETWn/1zRt3DekFPT9f+Zmdz3bSp0wfJtaciF7UcyPiBqeDT3M6+DQRqRHIZXJmNpxJa883t8j61PW8AtH5A+BTP0g/RfRJamI3PkYTmIRpRXuMPa0wdLPA0NUi++A57/2wtR9Ye8CwM2CedVq4Lk5F2OLraFOURFqG4JFWkjD8qTS1a44ec1kS/QTOzQGZARTygEJFpGebImDlnuvAohRNCj0P9ESj12BjYsPjuMe08WzDD7V+yNFO4GPifvR9xp0ZR4I6gWl1pmVatXw57DJjTo/BycyJlS1XcjnsMv+79D9pxP81hHpdrJKE/X6oHscBoHA0xWFopQzhj0FJQUy7NI0bkTeo7VSDaUFPcI/2gwEHwL1a7lYmitIF7oV5MOpW+ovfl5OI7Jn9E4H3btP313k4euafz3h+Me3SNA74HuBQ10M4mb+DVlJBDwZyQpJD+Prk1wQmBTK1zlS6luxKojqRiecnciH0Ah2Ld2RK7SlZ+n5/dDw7LllqmFhLLaLOBT6SBRTwPhDz559EL1xEsf37MC5ZMl+WqU9Jwbd1GwzdXPHcvJn4DRuI/G3GG1WFZkbyiROEfD0Ku6FDMK9fn9Bx3yBqNLjOmY1l06a5Xk7i/gOET5qEoasrhZcvw7BIEVLPnyd6yRJUd++hcHHBfvgw1L5+xK9fj+usmVh36pQv+/CCSyOGcjk+gsp1G9F8zHeZThMbEsyBBTOJCQmiVuce1O7UA11QMGk3rhO7ajW68HBMq1bFYfQozGrXRiaTofbzJ6B3bwydnCiyeRNyCwtS4mJZPnIgdbr1pm6PzCvOY1etImru77jMmEGhLp2z3G7vC2c4tHjua/tSg3QtEdj3M7RhYRQ/egSDPAxeBz+6z439u2gxbBQWNnkL1xY0GtTe3qTdvo3yzl2Ut2+ji4zEwMoK236fYdO/f4ZK7xfWLlYdOuA6cwYy+Zv5x6cmxLNi5CAqt2xD04HD32hZBXxg6LWIafHcOXaQMzt2Y2xijDJNSfHqtWk3ejyGxv/4HqTFwbyyULm3VCH8msSr4glPDaecXTnJg/rwBLj5FynODfAvMghrbSjO3ksxUobztFIXBigfY2/mQHhqOHVd67KwycK8/X6rU7izvS/99f58burJd912S/ebKdFwdBLc3wZ2JaD9Aija4LX3q4A84HtK8h5vMB6aTc31bKNOjuJ65HUOdDmAvak9AH63rrNnzs94VKhMlwn/ey1bpcwQRZHfb/zOukfrqGBXgcDkQJI1yZjITajrWpcmHk1o5N4o33SHT13PKxCdPwA+9YP0U0Ptl0jsJm9EtR6b7iUxq5zLdrxYX1jRGKxcIc4fPGpBv91ZCr2JUZHsnDSFhvbdMcEMwUrGnocLsPP0oPvknzE2y0PIj1YljZBfmC8FLJlYQVKolIT8ApkcbItB4VpQuKb0bF8qg9+WKIp8f+57jgce56/Wf1HBvgKr769m+b3lWBlZMbnWZFp6tsz9tr0FbkXe4mzIWUzkJpgoTDCWG2OqMMVYboyNiQ01nWvmusI4K+5E3WHI0SE4mDkwv/H8dC1GmW3PyJMjKWRcCJ2gw8HUgU3tNr3RTbfyUSzKR7FYt/ZEbpF5m68gCux4vJXfr81AFPSMKdaVPg2n5yr1/CXJkTC/PFQfDG0z+rfdOrSX0+tW0mTgcLza5GwV8q4JTg6mw+4O9Crdix9q/fD2V3hzLRydDK1nQNX+JGtTGH92PJfCLtGjVA8uhV0iMi2SiTUm0rN0z//EQ/Q/4clh2PIZOJWDvtvB6u1anBRQQAG5Q1Cr8WnaDJMK5fFYvjxfl52wZw/hE3/Aqm1bkg4dwrJFC9wWzH9jke7fhP9vGgnbt0u2E56euC9enCF8MDek3bpFyFdfgyBg6OGB6v59FK4u2A8fQaEunZEZGSHqdAQNGozy3j08N2/CpFy5fNmH5FOnCRk5Ev+2zfAODZB8meUKQJTuL0TpOfjRfQyNTWj79bd4VvZKtwxBoyFx505ili1HFxmJafVq2A0eQuSsmQjJKXhu24aRu9vL6bf9NImU+DgGzfsz03ORqNcTNHAQqocPKbp3T6Ye2zqtlr/GDcfE3JJ+M+a/dsVv8unThHw5MkuP7neJ8v4DYlesIPn4cWSmptj06oXtoEEYOjkSt2Ejkb/8gmXr1rjNnYNMkbtijZw49Mfv+Fy/wvA/1+bt+r6ADxqdRsOJ1Ut5eObEy6DtR+dOcWrtClyKl6LzhP9hZvWPgPd9oyT7jW+8wcwWZXIS/rdvYOXgiEORYhib5cFiICEY7ebP8X0azEODmgSGpiA+vy+UGRjgYGOMq+iH0kbHDA85opUJezrvyVVY20sSQ2BTb4h6yPQqrdid+Jgt7bdQxrbMq2l8TkpV1gmBULUftJ4JxrnPUykgj2jSYGltKXR5xMVcV5hfCrvE8OPD03kth/s8YdtPk7B1dafXtBkYmb6ZxcW/eZGVs+vZLrwcvWjq0ZQ6rnXeSrHOp67nFYjOHwCf+kH6qSCKIikXwkg87IfC1hS7/mUxtNKAXgcWOdhdaJWSt1disNTGEngJ9oyA2l9B698yTK7X6dj64wTiQkP47Ic5CDfTsGrmQWDQffbP+w2n4iXpPumn3P24+52VTuZxvlCpF7T8VdpevVa6GEgIkk708YEQ+VDy+lVKVbSYWIN7Tcnbt9YIMDRhx9MdTL88nTFeYxhacejL1TyNf8rUi1N5FPuIlkVaMqnWJOxMs67kfluEpoTSdW9XVHoVwj9F9X/gYenBkIpD6FCsQ/Zhe1mQpk2j275uiIhsbrc5V6OsD2MeMvzEcBLViaxosYI6rnXyvN48I4qw72vC721merl6XEwJoK5rXZY0W4LCIA83SruGweOD0kXuP7ydI/192TzlW4pU9qLzd1PfSwF16sWpHPY/zKGuh/J2ofw6JIXDHzWkwRxtKlTqDe3noVMYM/PaTLY+2YqjmSPzGs+jskPlt7st7xPRT2BlM6lSfuCBgpuJAgp4j4jfvp2Iqf/DY+1azGvXytdli4JAYN/PUN65g1nNmhReueJlAF5+IqSlEThoEEZu7jj/9FOWAXG5QRMcTPCXXyIqVdgNH0ahzp0z+DfrYmLw79YdmUJB0Z070tlxvA76lBT82ndAbmmBx9YtHF+zjKhAf+mcKpMh47lNGzKsnZxpMuCLbCt6BbWahO07iF2+HF10NDJDQzzWrcXMK71Ife/EEY6v/IN+MxfiVDRjJxOANiwMv06dMS5ZkiJ/r8sgst44sJuz61fTffIvFKlU5bX2XxQE/Lt0RVApKX7gADLD/KmUe1PUPj7ErlxJ4oGDyAwMMK9fn5TTp7Fo1gz3BfPzdTsj/XzY8MNYGn/+BdXa5W8FfQG5Q6NMI/DBXRSGRriVLpvvAtq/SYqJZv+834jwfUbtbr2p273vy0GbZ9cucWjRXCzs7Oj6w/RXtiuRj+DPOiTXmsjNaAfunTiCVq16ucxCTi44ehbDsWhxHD2LYVbIBgO5HAO5HLlcgYFCjoGBnIRbB3m0azlP4q3QCHIs7Rwo17AJpWrXJzUhnrCn3oQ98Sb8qTfa5/YzNhYp9Kqkx9y5iJQFY1MUbIuClRu8uKd4eR8gk+55dw6V7oG7/0WiRw067umIu4U7f7f5O33xjyYNzs6CS4ulqufem8A+axvKAl4TnRqOT4Orf8LAQ5LVYm5mE3T02N8DtV7Nnk57MJQpuH/qGGc3rMHU0pI+P8/FvNCH3en8qet5BaLzB8CnfpB+CghqPfE7n6K8F4NJOTtsuxfH4MHfcOpnSdjrshzKtM16AXu/gtsbpAq/Us+rgA9PgKvLpHkr9043+bmNf3F93046jJtIqdrpw8WeXr3IgQWzcC1Vlm4/TH/pnyuKIjFBAfhcv4LPjSskRUVQobABXroTWDq6Qft5UDwXraaiKFVlB1+VHiHXIeoRFK7Fs9a/0Of0SLwcvVjWYlmGilmdoGPtw7UsvbMUG2Mb/mr9Fx5WHjmvM58QRZEvjn/B/ej77O60GyczJ9R6NSq9CpVOejxNeMqa+2vwjvPG2dyZgeUH0q1kN0wUuW/l/PHSj+x6tou/Wv9FNadcWlUAfol+3I++T6cS7+iG4swsOPMbNPwOsclkNj/ezIxrM/ii4heM9hqd++WE3oKVTaTqg9pSOrBGpWTDxLFoVUr6z16cvhLjPSEoKYiOezrSp0wfJtSc8PZXuG2AVNH75SV4sAPOzJQCUnqsQ3QozdWIq5S2Kf1JWdCgTICVTaXQymFnwDqjd2gBBRTw9hBFEfXTpxg6OyO3Tv87LQoCfu07YGBigufOHW9l4FDt50/8ls04jBqF3PLDGHAS9XpJ7M2mald59y6B/fpjVqsWhZcve6Pq7YiffyF+0yY8N2/CtEqV117OvxFUKhL37MHQzQ2LBhnb1pXJSSwb3h+vtp1o1C9rD+XE/QcI++47HMaOwX7EiFfzJyawesww7MwtaeJaHIcxY15L8H+xfNe5c7Fu3y7P879tNMHBxK5aTeKuXZjXrYvb4kUY5GOQ5As2/+97UhPiGLxgOQZv2I1XQO5IionC9+Y1fG9cJeTRffQ6HSBV+joVLY5b2QoULlcBtzLlX9/aMBNCHj1g/4KZaNVq2nz9DSVrZCxECXvqze7ZPyMDOn//P1xLlSE+Iozrc4fxKEREkMkpW68RlVu2Q5WaTJS/H1EBvkQF+JEYGZHjNhgaiJSsUZPyLTtTuFzFTH/vBL2e6EB/gk5t4dKpq5gYQqcyMTjrfCXv55wo5CHZqT33oN7vu59JFyYxpdYUepXplXF6v7OSDZugh24roVSrnNfxHiEIeiJ8nuF/5yZxIUE0GTQ8z5Y/+YYyHiIeQMQ9KSQy/B7EPJFCHL0GQMdFuV7U5seb+e3qbyxosoCqijIcX7mYkEcPKFyuIq2+HIu14zuwLnzLfOp6XoHo/AHwqR+kHzuiVk/UkrtoI1OxauWJZdFQZIfHSz/gRRuBKhHC70CjCdBoYgY7Cm6th31fQ8PvoOmUV6/rtZKfUvA1GHxESiYG/O/cZNeMaVRu0YbmQ7/KdJseXzrHoUVzcS9bntrdeuN36xo+16+QGBUJMhmuztaYpQXhm2iJzMCAsvUbU6NTD+zcX1MAfriHtD3D6ePiSKKpNTs673np5ZTp9sU95otjX2CqMGVd63W4WLybVvrtT7fz0+WfmFp7Kj1LZ92eKYoiF8MusvLeSm5F3cLWxJbPy31OnzJ9cky/PRN8hlGnRjG4wmDGVRuXz3uQj9zeIA12VO4Dnf98WX3wQjBf1mIZdV3r5n55q1tK4SejbpIUF8eBhbMIf/aEnlN/pXD5Sm9pJ96MyRcmcyzgGIe7Hc72eM0Xnh2Hjd2hyRRo9NyL0++MVOWhSYV286BKn7e7De8bgh429QK/0zBgPxTJw/FWQAEFvDGiVkv4lKkk7t0LMhnGJUpg6uWFmVdVTL28UD/zIWTkyPdW7Hvfid+6jYhp07AbMRzHsWNfaxlpt24T+Nln2Hz2Wb6HE+aG3bOmEx0YwBd/rM5WZA/9djxJR4/i+usvaMMjSLtxg1uBz/C1Maf+0xCsVJrXCogUtVp827XHwNSUort3vVEg39tGn5KCgZnZW9vGJ5cvcGDBTDp9N5US1fO36+BTR6/TkRIXS3JMNEmx0cSFhuB3+zrRAX4A2Li4UqxaLYpXq4mg0xPifZ/gRw+I8HkiCdEyGU5Fi1OiRh1K1qqLnVvew58FQU/wg/s8PHeSJ5fOYe3oTKfxU7Bzz3pZcWGh7Jo5jdT4eIpUqorfzWsYyGVUsAymxmejsW4wMNP51GmpRAf6o0pJQdDr0Ov1COpUhOvrEMLuYOxZnWJDFmFklfuO1KgAP/bO/YXUhHhaDP2K8lXLQry/1OUnCoBkA/Ty2UAOJVuC2SvR9UVx0L3oe6xvs57StqUzrighSLJji7gPTSZDg28z3lu/R6QlJRJ49xZ+t28QcO82quQkZDIDZAYy3MqUp/uUn9/tIJKgh+P/g8tLgOfalIUzOFcEl0rgXAnKtJPsNXJBgiqB9nvaU9q6FMNUrbm8czMKQyMa9R9ChSYt3ssu19fhU9fzCkTnD4BP/SD9J2naNJ7GP8U7zpun8U/RCToMDQxfPeTSs7mhOU7mTjibOeNs7oyDqcMbe+y+LVIuh5Gw1xe77q6YBs+Fu5ukVqJWv0K5zqBTwcFv4c5GKNkKuq4A00LSzOH3YHULyR+5/27pBPxPUmMkn2dRgGFnSdEY8PeE0VgUsqHPr79jaJR1G6r3+dMcWjIPRBG5QoFH2XKUKJRM8fiDmOtjoWhDEmpM4OaV+zw4fQKdRk2xajWp0bEbbqXL5fkkMfXYSPaGnWNFbCq1O6/OsWr6Uewjhh4dio2JDWtbr8XBLAcLkjckLCWMLnu7UNG+Iitbrsz1/t2MvMnKeyu5GHaRkjYlWdJ0SZYieawylq77ur70ZDaS53+lS77gcwI29oSiDaUKA8Wr7VTqlPQ92Jc4VRw7O+7MvRj7YBfsGERA9dkc3HMWvVZLqxGjKV3n/Qz9CEgMoNPeTvQv25/xNca/3ZW98EdTGMOIC9LzC5IjYMcQCLwgedW1nQuGn0hw4IkfJR/5dvOgxpD/emsKKOCTQkhNJWTMWFIvXMB2yGAMzM1R3rqN8s4dhJQUaSK5HIWTIyWOHn1vLA0+JERRJHzqVBJ37MT9j8VYNm+ep/kFjQb/rl0RUtMotn//G9mCvC7e509z6I/f6T19Nm5lsvan1icm4te5C7rwcOnfpUpwwgyKFi1J27ETiJo1m+RTpyh+9CiGTrm3sorfspWIH3/E/c+lWDZp8sb78yEj6PWsGjUUcxsbanfthXkhW8xtbDC3liwSCsg9yuQkbh3eT+D92yTHRJMSH/dcEJWQyQxwLV2G4tVqUbx6LWxdM+/C0mk0hPs8IeTRA/zv3iT86WMA7Nw9KFmrLqVq1cPewzPbe47YkGAenTvJowtnSImNwdjMnDL1GtGg74Bc+XenJSawZ/bPxIQEUaVlW6q16Yj5+mZg7gBDj+fuA4kPkITcqEfQfDrUHfUPK4zck5aUyIEFswh+eA+vNh1p2G8w8jz6mkenRdP7YG8MZAZsbrc58/sQrRL2j4F7W6FMe+iy7L2zZhMFgROrl3Lv5FEQRUytrCla2YuiVatTpFJVfG9c5eiyhdTr2Y/a3XrnvMAsCLh7i7vHD9Hws0HYuLhlP7E6BXYOYW3ERZba2VHBqhjV3epSvXAjKjlUylNXL0CqNpVhx4YR4feM3gFVSAoJo2StujQdNOK/q+B+S3zqel6B6PwB8CkfpCmaFHY+28mj2Ed4x3kTkBiA+HxUzdrYGlOFKVq9Fq3w6qETdBmWI5fJsTe1p4RNCX6p98vbr0rMJaJOIGLuDeTyBBy0Q5Hp0qDu11Laq/E/2qxEEa6vgiMTpVaiXhulwMAVjSX/pOHnsvZ9DrsDa1ohuFZjR3Alwn2f0W/KFOx0QVIVdNAVyWu5kMerEcrnzwE+gagj/Siacg6jB5tBr4GyHaDeGHB/9buRlpTInaMHuH3kAKqUZKwcHPGs5IVnFS88KlTO8aLnRTvUsFK9GXX7IEQ/hnZzpXC5bLgTdYdhx4fhZuHGmlZr3pqtgCiKDD8+nDvRd9jVcRfulnlv4b8YepHxZ8djojBhcdPFVLCvkGEdo0+P5lLoJba030JJm5L5tfn5gyiC/znpOHx8EBzLwaBD6TyYX+AT70Ofg32o7FCZ5S2WZzng8yz+Gf+7+D9qutRkTKUvufx9U66E2WLv4UmHcROzvEh/H5h4fiKngk5xuOvht+8tfmI6XJgHAw9K/uf/Rq+DMzPg/Fyo87U0YPWx83yQAq8BUsr6R1IJUUAB/yW6+HhCR43GqFgx7Ed+iaGzc+bTxcYSPHwEqkePcJ7+IzY9erx8T9TrUfv4orx9C+Xde1i2aIFl009b7HsTBLWawM/6ofH3x3X2LCwaNMjgAZ0V0UuWELP4D9yX/Yll48Zvd0OzQKNM488v+lGhaQuaDf4y+2kDAlD7+WNatQontqzj8YUzDF6wAisHRzTBwfi2bUehzp1x+fmnXK1bUKnwbdkKQzc3imza+NFUzL0Jd48f4sSqpelflMkws7LGvJANJuYWGJmZYWQqPYyf/+3oWQzPyl75+hmmJSYQ6ecjPfx9SI6NpX6fz/GsVDXf1pHfpCbEc+PAbu4eO4RWrcKtTHkKObtgaeeAlb0DlvbPn+3sMTTOmwAHkBwXw7Orl3l27SKh3o8QRQFrJ2es7BxQGBmhMDJ+/myE3NCICJ8nRPg+Q2ZgQNEq1SjXsCnFqtXMtqgoMwRBj16rfbXNV5bBkQkw9BS452Dz539Osn8T9dB9DZTI2+BYhm3R6zm7fjW3Du+jcPlKtB87IUuLPa1GTUJ4GHFhocSFBRMfFkpcWAhyO0vmOR2htF1pVrdajbE8k89DFOHKn3BsiuTzXGOoZA0h6EDQStfWglaybavaP2Nh11tEFEVOrlnG3WMHqdyyHRUaN8epaPF0XRCiKHJo8VyeXDpPz2m/4V62QjZLzEhCRDhn1q/C98ZVAErVaUCHsdlYBT4PbTye4sc3jnZUcaiCRtDwOO4xgihgaGBIRfuKVHeuTs9SPXEyz94SQ6lTMvLESJRXn1HD2wbzQjY0GzyCkjU/zq7FT1nPgwLR+YPgUz1IBVHgq5NfcSH0As7mzpSxLUM523KUsS1DWbuyOJk5ZZ6GLYokaZKISI0gMi2SiNSIl38f8jtE55KdmVZn2n+wRxlJvR5B/M5n2Bn+iGkJc2j3O9hnIzYGXYFtn0sjjY5lJduNgYfAI/s2OfX1DZxeuZCHiU60Kh5LBaNH0htyY8l2w7kiJARLvkxJoa9mtHKD5HApwKFyH6g7OtvgBa1KhffFs/jfvk7Qg7tolEpkBga4liqLZ2UvytZvnMGX6UncE/of7k9Z27KsbrUahSYNdgwGn+NSEGLLn7M90V8Lv8bIkyMpZl2MVa1WYWWUUQR9U3Y928W0S9OYXGsyvcu8/miyb4IvX538ilhlLDMazKB5kVcXZi/W8V317/i8/Of5sdn5gyoR7m6RxOaYp2BqI1181RsD5lkP3rzYn6+rfM3wysPTvSeKIjue7WDWtVnoBT0KlcDwoAYkPgugvHUEzaauwrBwlbe8Y6+PX6IfXfZ2YUD5AXxT7Zu3u7Iob1hWHyr2hC5/Zj/trmHgfQDGPUjXbvjREXFfsmNxrggDDqSrtC+ggAJeD1GjIWjIUJR37iAiXXva9O2L3fBhKGxeDehqgoII+uILdJFRuM2bVyAovwO0YWEE9P0MXUQEBtbWWLZojnXbtpjVrJkueE8URbShoShv30Z5+zYJ23dg2aIFbvN+/w+3HvbPn0mI9wOG/7kuVxW10UEBrP9+NF7tOtG4/6sulojffiN+w0aK7duLcYmcQ8BiV68mas5ciqz/G7MaNd5oHz4mkuNiSImLJTU+ntSEOFLi40lLiCclIQ5NWhrqtFQ0yjTUSiWatFQEvR4ABw9PanbuQak69V+rnT8tKZGnly8QeP82kX6+JMdGv3zPxsUNQdCTHBNDm6+/oUzdhvm2v/lBUkw0N/bv4v7Jo+h1OkrXbUCtzj2w9/B8a+tMS0zA5/oV/G7fQJWSjE6jQadRo9NqXv5t7eBMuYZNKFOvUf4GramSYF45KN0auq3KfBpRhGsr4MgPkmjbZ7MU6JxPPDx7kuMr/0BhZISJhSWiIFlriIKIKAqIgkBqYkK6CnNLewfMrQsR4fuMwr1b8XPSCjoU68Cv9X/NesDE/xxsHwRpMVlvTNGG0HUVWL4bb+Hzm9Zybe8OanTsRoO+A7Pcdo0yjfUTx6DTavl81iJMLXO+B9aolFzbs50b+3dhIFdQq2svlEmJ3Dy0l0Hz/sy84Cf0Fmzuw0NRxUBnO0rblXsp5idrkrkddZsbETe4EXmDR7GPsDCyYHrd6TTzaJb5Nug1jD4xCu2px5QLsKREjTq0+nJMvvqav298qnreCwpE5w+AT/UgXfNgDfNvzmdSrUn0KZM/XqUzrs5gy5Mt7Oq4i+KF8u/E+AJBFNj6ZCuCKNClRJds/XtFQSRy7jVkic9wdFuGbPjp3PkfJYXD9gFSCF+rGVBnZLaT+9++wbGVf5AaF0Mtl3jq1vJE5lFHsuRwqZxRsEmNkcTn8HsQ+UCqgK45DCwzr3jKCr1OR/jTxwTcu4X/nZtE+ftibmPL4PnLXiY2Xwu/xpjTYzA3NGdD2w04mzu/mBmOToJry6HWCGgzK9t1nQ85z+jToylvV54VLVbk6JucFyJSI+iytwtl7cqyquWqDOGGeSVWGcvo06O5F32PsV5jGVxhMCHJIXTb3+2ldcebriNfiHwkff73toE2DdyqSVUA5bvkyr5BFEUmnp/IkYAjrG65murO0nkmWZPMj5d+5FjgMeq61mWEbW8OL/odhVakWb8BVLs1Sgq+7LDwbe/ha/P9ue85E3yGo92Ovt3QPkGAte0g2hu+vgnmOVRUR3lLNhyNJkKTH97edv2XpMbCysaSZ/2ws+/sBqCAAj5mRFEk4n/TSNi+Hdc5szGt6kXMkiUk7t2LgakptgMHYjtoIJqAQIKHDwedjsLLl+VrKF0B2SNqNKRcukTSoUOknDiJkJaG3M4Oq1YtMXRzR3nnDml3bqOPloQTAzMzzGrWxOXXX1DYveVunBx4du0S+37/jW6TfsKzsleO0++a+SNhT70ZsmgVphavWt518fH4tmiJWY0aFP5zaTZLAH1yMr7NW2BSqRIeK1e88T58qoiiiE6t5unVi1zbu4O40GAKOblQo1M3yjVshiIH2xytRo3fzet4XziN/+0bCHo9hZxccC5RCqeixXEqXhJHz+IYm5mhSk1hz+yfCX3yiGaDRlClVdY+8IJez70TRwh+dB/3chUoVrVGtmFjoigSFxZC8MP7KJMSMTYzw/h5VbexqTnG5uYoDI1QpaagTEpEmZxE2vPn5JhofK5fAUTKNWxKzU7dc7Yh+Bg48oMkKo99AFb/sAUU9BB4USpGebQXSrWRrB8z6Xx8UyJ8n3Hn6AEEvR7Zi/BVmUz6WybDwtYeWzd3bF3dsXF2xdDEBFEQ2Dz1OxKjI2FwTZY+WclYr7EMqZiNDZtWBepkkCvAwFAqtpIbEpoaTuCtv6hyYQlmxlaSAF/07Q6IXN29jQtb/qZyizY0HjQcERHDbPSBSD8fNk0ZT9Gq1eg0fkqWArUoijy+eJZzG9aQEh9H2QZNaNh3IBa2dqQlJbLyq8GUrlOf1iP/lSf0aB/sGkaEhQN9nW0wVJiysd3GLLvGAxID+P7c93jHedOrdC/GVx+fznZDK2gZf3wcHHiER5QZ1dp1pmG/QR99uOmnque9oEB0/gD4FA/SO1F3GHhkIE09mvJ7o9/zrZ0rXhVP211tqeZUjT+a/ZEvy3xBsiaZyRcmczr4NACWRpb0Lt2bvmX7ZvrDnHY3irjNT7A1moXZiF/AtUqGaRKjItGolDj8eyRdp4Hwu5LFRRafjTIlmTPrVvLo3Cns3D1oNWIMLiUzCVR4R4Q8fsjWaROo2ak7DfoO5EjAESadn4SHpQfLWix7JTj/k4Pj4fpKqZqxaPbevicCTzD+7HiqOVVjYZOFWBi9+WipKIp8efJLbkXeYmfHnRS2zHuwR2aodCqmXpzKkYAjdCnRhYCkAHzifdjVaVfmn8O7QhAkv+YrS6SQOoUJVOwO1Ye8DKLMC6naVHru74lKr2JHhx2EJIfw3bnviEiN4OsqX+MV6siZv1dham/D5lIPaFG9M1Ojo+Dedvjm0XtZreuX6EfnPZ0ZXGEwY6uNfbOFiSJ475Na95wrSxe7/+RFSGjHP8Crf+6WubkPBF6CcQ/TW/R8DCjjYUN3qdJ50OGcWz4LKKCAXBG3bh2RM2ZmCKxT+/gQvWgxyceOIS9UCFGjQV6oEIVXrcS4WLH/boM/cQSVipRz50g6dJiUM2cQVSoMCxfGtGoVzKpWxbRqVYxLlkT2nvj06jQa/hzWj5K16tL6y7HZThv88B7bfppEg74Dqdmpe4b3Y1asJHrevGyrl0W9Xgq43L0bz507MC1fPj9245NHFAR8blzh6u7tRPo9w8LGlsot2mJWSPKE/udDFEQC7t7k6ZWLaJRpWNjYUqZ+Y8rWb4xDkaJZ3tdpNWoOLpyN742r1Onehzrd+2aYNujBPU6vW0FMUACmVtYokxIByQe5aNXqFKtaHdfS5UiJiyXo4V2CH9wj6OE9UuPj8rzPCiNjTK2sKOZVk5odu2HlkHs/8Q+eOH9YVFUK2ms6RSpIurdNsjdLDgMjC8m7ueH3710QX6S/Lxt/GEel5q04VjKQIwFHWNhkIU08cu7M0Qk6zgafZfuz7VwKvYSIiEImp4pWoG5yAnXK9aZs01+Qv4Uuu9tH9nPqr+WUqteAxGZu/O39NyYKEza23YilUdae07cO7eX0upU0GTgMrzYd070n6PU8vXKB6/t2ERXgi1OxEjQZOBy30mXTTXfm75XcOryfIQtXYO3oLN2jXJgPJ6eT5l6NAfbWBKeFs77N+hwtILV6LQtvLWTdo3WUKFSC2Q1nU9KmJHpBz+Sj3yHbfR/7JBOaDhpO1VbtX/8D+4D4FPW8f1IgOn8AfGoHaaI6ke77uyOXydneYXu2P7Kvw6r7q1h4ayFrWq2hhvPrtduJehHV41iMS9pgYCTnafxTxp0eR1hKGN9W/5aKDhVZ+2AtJ4NOYmhgSMcSHRlQbgCe1p7S/IJI1NzziPHBODV9hqzFjxnWodNoWDt+JMkxMXQYN5ESNWrnevueXb3EidVLUaUkU7NTd2p17Z1jNUJeeBL3hNPBpxlacSgKg9wHPBxeMo8nl85R6MtWzPP9k6qOVVnUdBHWxpl7daFJhT/rSUGIX17KUUQ74HeAyRcmY29qz+Rak2nqkX0YYU7sfrab/136Hz/U/IG+Zfu+0bL+jSAKLL2zlOX3lgMws8FM2hXLuqrjraJJhbubJQ+32Gdg6QI1v4Bqg/Ik/MYEBRAfHkbxGrVejlh7x3rz2aHPKGJVhIDEABzNHPmtzi/E7L/Eg9PHKV69Fm2++pZFD5fw96O/WVljMrW3DYfmP0L9cdmv8G0hCFKVvzpJ6gb4R7jI7Ouz2fx4Mye6n3hzL+erK+Dwd9LfxlZQpC54NpCqKCxdYEkNcCgjWejk9oI++Dqsbg4tf5X84T8WkiNhQ1fJ4qX7X1D207hILaCAt03KuXMEj/gSy2bNcFu4IJ1n5AuU9x8QvWgRQnIybgsX5inIrYC3i5CaiqBS/efVzDlxZOl8fK5fYcSKDVlej4qiyKbJ35CSEM/gBcsz9aUVVCp8W7dB4eiI59YtGQRJUaslbOIPJB08iN2XI3AcM+at7M+njCiKBN2/y9U92wh+eC/L6QxNTClVqy5lGzShcPmKua5kFPR6ji1fzMOzJ6jcsh1NBw3DwEBOYlQkZzes5tnVS1g5ONKo/xBK1qxLfHgY/rev43frOiHeDxH0OuSGhui1WgDMrAtRuHwlPCpUwqN8ZawcHFGnpaJOS0OdmiI9p6Wg02gwtbDE1MoaUysrTC2tXsuX+aNicx+pqtnCSbr+MlBAiRZQqYdU4WyUf52l+c3ptSu4dWQ/3af/xsRnv+Gb6Mv6NuspbZt5AVZYShg7n+1k97PdRCujcTRzpGvJrlS0r8iNyBtcCb2Id/xTAKwxoI57I76u8S1FrIrky/Y+PHuSI0vnoyjlzO5yz4jVxFHJvhIPYx/SyL0RC5osyLaKec+cnwm8e4s+P8/FqVgJtBo1D0+f4MaBXSRGRWLj6k6tzj0o16BJpuf5lLhYVo0aQvnGzWkxaBgcGAd3NqAv35WxNqacC7vIkmZLqO+WSbZMFlwMvcjkC5NJ1iQzvsZ4njy9hWzXfSx0xnQeN5ni1Wq+9uf1ofGp6Xn/pkB0/gD4EA9SQRReyyLgRZjahdALbGizgfL2+V+doNKp6LCnA7YmtmxutxmZKCPxgB+GLuaY18i5ylQUROK3PSHtTjSmley5UsuP6VemY25ozu+NfsfL6VVFaEBiAOserWOfzz60gpaWni35X53/YeidTOxmP2xsNmD+zYJM7Qou79zMpW0bsXFxJTEqknZjvqdUrXrZbpsyJZkTq5by9PJ5HD2L0+rLMTh65m81UlhKGH0P9iVWFcsYrzEMrTg01/MmxcWwcvQQgmySMehamZkNZ2Ye7vBPAi7C2raSxUfbOTmu4370faZdnsaz+Ge0KNKCiTUn4miW+Q1yaEoo+333czPyJkqdEo1eg0qvQq1To9arSVQnUtmxMmtarXlrlhdHA44SmhLKoPKD3n3IjSjC5SVwbg6oEsC1quSjXb5z7qxe/kHA3Vvs+/03tGoVtm6FqdfzM0rWrIvMwIBN3puYcW0GzT2a813ZMZxZvJhwnyfU7taHut37IDMwQKVT0WN/DzR6DbtS5JjHBcKYuxmrf98Goggxz8D/rOTtFnABlM8rYmQG4FAW3Kujda1Ks6crqe5Si3lN5r/ZOqOfwvIGUjBg5T4QcB78z0Ocr/S+gSEgwogLkn97XljbHmJ9pM9PkbcwmfeShCD4uxMkR0DvjVD8zQaTCiigAAn1s2cE9O6DYREPPDdswMDs/RUQCviwCbhzk50zptFx/GRK1qiT6TSPL57l4KI5tPpyLBUaZx1GlrBzF+GTJ+O2YD5WrVu/fF1QqQgdO46UM2dw+OYb7Id9ke/7UUB60pIS0Wu1CHo9gqBH0OsR9XoEQcDGxfW1RVtRFDm38S9u7N9FqToNsHV148a+XWAgo1anHlTr0CXTQQl1WhpB9+8Q7H0fG2dXCpevhJ27R0GI5OsSdEWyeXOvKQnN5Tq/l12ImaFOS+Ovb0ZgXsiGFlN+4LPDnyGKIuXty6MTdOgFPTpRelbpVXjHegNQ360+PUr1oIF7gwyFVbFpMVy9PJdLT3ZwytQEmcKEeQ1nU6vIm12X3jx3mDNLlxBpr+GoVzj1PBowtOJQvJy8WP9oPbOvz87RIkSZnMTf349CYWREuQZNuX30AMqkRFxKlqZGp+6UqFYrU7H5n5xYtZQHp48xpL4Wy8gL0GgCcy0MWffo79e2O41VxjLlwmSCbt2i/j17jIxN6TdlFk7Fcvbl/5j4EPW8/KRAdP4A+JAOUlEUX1YC2prY4mLugrO5M87mzriYu+Bq4Uotl1qYG5pnOv+LH9YJNSbQr1y/t7ad+3z3MfnCZGY2mEnDkMokHvIHwLKZB1bNs744EQWR+J3PSLsZiWFRS7T+yfzptI2QMknMbTQXBzOHTOeLUcawyXsTfz38C09LTxY/GIA8VYvzMDdkRTOmtCZGRbL2my8pVq0mLYePYteMHwn3eULbr7+lTL1Gma4j+OE9Di2ZR1pCPHW696VGx27IFfkr2CVrkvn88OdEpkZSzr4cNyNvsrX9VkrZlMpxXq1ey/8u/Y+A4+eo/sSGzhOmUdwrl5XmhyfA1WW5stkAyS9q3cN1/HnnT4zkRoyrNo7upbpjIDMgRZPC8cDj7PPdx41I6TelnF05rIysMJYbYyw3xkRhgrHcGAsjC/qV7ZelaP1BIwhSMvW1FVLVQsPxks/3a1yYe184w5Gl87FzK4xXu85c37eTuNBgHDyLUa9nP4p51SAkOQSD8BT2z/sNjVJJm6++oWSt9Mf+7ajbDDg8gB6ONZl6dTv0WCt5SL8N4gMlgfnFIyVCet26sFRpXLQhmNpC6E0IuQ6hNzhhoGGckwNL4pQ07Lzm9X3d9FpY3ULahpGX0/ulJ4ZKAnTAeXCvAdUG5n35vqdgfRfJF/t15n+fiHkGf3cGTTL03Z5jaGoBBRSQO3Tx8QT06ImgVlF02zYMXVxynqmAAl4TvU7H8hGfU7hCZTqMnZDh/adXL3J48e/YuLnTb8b8bKtiRb0e/85dENRqih/Yj8zICH1KKiEjR5J2/TrO/5uKTZ/8yYIp4L/l+r6dnNv4FwBl6jWi4WeDsLTLOsS6gLeAoM820P195vGlcxxcOJumg4ZjXKM4v139DbVejVwmR2GgQC6TY2hgiMJAQQX7CnQt2RVXC9ecFxzxgJB9Ixkl+z975xkeRdWG4Xt303vvHQi99957L9IEpCgqoqKABcSCihVE/cQGSBOkS++9E2pCQgik9952k60z349FFElCAgkEmfu69tpk55wzZ2bP7s485z3Pm06sqSlzrIIZ2f69B7Ii3L93DVdXrCPLQYs4ojFTmr1wVzS2KIq8dfwt9sfv55eev9Das/Tr4KTr19jw0RxEUSCwaQtaDRqBd9365Z50yY86z7J5H9HUOY3Wz89gramGby99y5g6Y5jTek6Fj+0vS56zW9aTERuNws2eSfMWlem//l/lSdLzqgJJdH4CeBSDNDOxEI1Kh0+d8s1eCho9OWsj0WUVI7c0MT6sTIkqvsXJ7NN4uviApYw0QybJ+lQSdElkkUuhQoWJmSm9/HsxrNYwmro1vXN817KuMX7PeDp6d+Tbrt8+0Ky0KIgUHk5AUBuw7xeITF5yG4IoMGrnKOxyLfjoxotY1HZCbmlC0cV0rNt64jCwxj11RUEkY/N1dBeziWmcw082fzD0antaqxriPLUh1oH3P3dnU8+yfNv3vB/3ErqgcwROnVViue0LFxB79SKTFv2InYsb2uIitn4xn+TICPpMm0G9Tn/PqBr0Ok5v+J3zmSrEEwABAABJREFU2zfj6OFF/9dmV8nsoU7QMf3QdM6nnuennj8R7BjMkG1DcLNyY22/tWUmOdAZdMw4OoPjScd5teErKFZeRCZX8NxX36MwKUdEbQVtNv4iviCej898zLm0czR1a4qXjReH4g+hNqjxt/NnYNBABtYYWL4LjP8Sei38+RJc2wxtp0PPjx/Yj+3irj85umopPvUaMGT2PMytrBEEA5GnjnNm41ry0lPxrFmbgCbNOP/nRmycXRgy671SM35/FfKV0WajENqYucD4rWDpUL7O5MRCTgyYWhmX/JlaGVcRmFqBrti4RPCvaOa8BGMda7e/RebAjuAYWLLwLghM2zuJG3k32Z+rR5GfDBO2GX3VK8qRBXDsCxi5CuoNrnj9+yGK8EsXoz3I9AtP7M0CqaFG8VwmM44Dj4aPu0cSEv8JBK2WxMlTKA4Lw3/1KiwbNXrcXZJ4Cji4dAnhxw7x8q9rMLMwrvATRZGQ7Zs5sXYFnsF1GDLrPazsHe7blvL4cRKnvoj73LnYDehP4tQXUUdE4PX5Z9gPHFjFRyLxKIm7chEzKyu8giu46kviqUcURTYveJ/UmzeY9M1P2DhWbpS2Mv4Ub52cwwl9Ds/mFzLL3BeT5pOhwfByJVbcv3U5oX9sJs9Jx3NTn6dW05EllivSFTFm1xjyNHmsH7C+zPw/SRHXMLexuTcf1P2IPYG4fhzrE31JynVkZ49sshWFdPHpwjddv7kn6ltTVISZpWWJeo0gGIg6c5JzWzeQlRiPg7snrYY+Q72O3So9IO5JQRKdJdG52lPVgzQjvoA/F11GFEQmfNYOS5uyjfFFvUDWynA00XlY1ndB0BgQivWoCvIpVhZha7BGTimRwjKI8k3mS+ulpJBOgF0AQ2oOoatfV6YdnIYgCmwcuLF0j98yEIp0ZP9xA01ULgA27bywHxhkPH/5yXBqMdw8AE2fhbbTOZN6Gf2yBLxk7gTM7oDcyoT8PbEojydj2dgVp2eCSSxK4lDCISKyImh8yZsuGc1Z57yHVa478LTxZFaDN2m43RlRL+D+WlMU9zl36NTEf7KOfIML0+t8yTc9F9Pc/e5kWHFXL7F5wft0GD2B1kNH/qOqmj+/mk9CeBi9XnyVhl17kZuazK7vviY95iYNu/Wi63NTMbWofP8xURT5+OzHbIzayPx28xlayxh9ejjhMK8feZ0XG73I9KYl+8fqBT1vH3+b/fH7mddmHiNrjyTmUghbv/iIzuOn0GJAOSNZ40/Db/2g5fPQ/+sK9X1b9Da+CvkKEZE+AX0YVGMQjV0bP53L7TRK2DDeGA3bcz60fzC/Q1EUObF2BSHbN1OrdTv6TZ+Fidnd49+g1xN+7BBnN/9BYXYm/o2a0v/1t+7KRv9v7thsFOew5WY41hYO0Gm28X0vzSoi65bRIiRsg3Fioiws7G/7Jnc2Cs2utcsV3Z2uSqfX5l5MaTCF12qNhOV9jBYcE3eDR4P71r9DYggs7w2NRsLQn8pfr6JEbDe+zyOWGy9+nzQSzsLvI41+2hO2gcvTtQxPQqKqUJ44QfqnC9DGxeG18Gvs+z+mXAISTx1J16+x/sN36PfqLOp26IJBr+fQsiWEHd5P7bYd6T1tRomWCSUhiiIJkyajuXEDExdntPEJeC9ejG23+ycKk5CQeHrITU1m5ezp1GrVjv6vza709g2CgUXnPmNV1Hra6xV8mRyHHSbg1wZq9TSuJnWre9e9hphylf0rv+balVwyXFS87H6NAFMLmLS71ACLmPwYxuwcQ03HmqzovaLMYK+7EEUoSDHa7qkyjfaJCrN/PJuTn3ye3We+YouDAynFCoYe90LdzI2+E6fTzK3ZXffLRfl57P/le6IvnENhaoqtkwu2zrcfLq6YWVpx7cgBclOTcfL2pc3QkdRu1wl5NUls+7iQRGdJdK72VOUgzU1TseXrSyhM5KjyNLQcEEirAYGllv+nn7HjiGCsWxiXR4RlhjF532SCnYJZ2mMp5oIpQpEeoUiHUKy/89ClqVCdTwMTGUmNlPxi8QchWcb31URmwoq+K2js2vjO/gSNAUO+BhPXkmfS/kKXpiJrVQSGfA2Og2uiyyhCeTIZ+66O2Op/g0urjGKUV1PjUnl7X/Icv0YZac2ngcv4fOK3d4TuwmOJ5O+JI8E1kzecP6eIYt7MeY6eGa2JrpuNorszdZ3r3Ukipk1RkrHkKuZ+trhMaYhMUXo/NZu/JTOkGTTP52WTn0lRpvB5p8/p6d8TMEYtr5w1HVEUGPnZ10QV3sLZwvlOAkKdVsP2rz8l7uolGnbvTeTJYyhMTOj54qv39Xt+GFZcW8HCiwt5vuHzvN7sbpFy7sm57IrZxe/9fr/Hg1sQBd4/9T7borcxq8Usnqv/3J1tWz7/kOTICCYv/hlrB8fydWTPO3DuR3huR4WtDXQGY0KRcv9I/xdRZcPaZyDlMgz6HpqOQ6fVgCBWaLLCoNez/+fviDh+mMY9+9Ft8otlLoXV63Sk3LiOT9365brouJJxhQl7JjDCpyvvpyQYBXIHP+g2DxqM+Dsq+59is8IcWj0PtfuBXm2MbNYWga7I+LdMZrQP8Wj4QJG/v4b+yneXv2P30N342vkarTF+6wsGLUzaAy5lZ3IGjBH7P3Uw2mu8fMoogFcVggBLWhvPy0snHsg2pdJQZUNhKti4gZXzvedfEIwJahLPQeJ543P2TXCuCeP/BAffx9JtCYn/EtrERNI/+xzl4cOY+fvj/t5cbDre365KQqKyEAWBX6ZPxs0/kL7TZ7Ljm89JCLtC66GjaD/y2fv6jf6b4mvhxI0YgczKCt8lP2DdpvwJtyUkJJ4eTm/8nTOb1jFi7if4N2pSJfvYHLWZT85+gq+lK9/aNCAw9ixkhBs32vlAze7g6I8YtoXd14qJzPYi0UvFK+MmUCuom/GeQtDDlAPgWHJywv1x+5l5bCaja49mbpu59xYQRWOAXdJ5o8icfQuyo433QiWQJ5ez3N6OdXY2qOVy6jrUYnjtUZjvuUXClSu88MPyuwKFYi6FsO+nb9EUqWjWdxCiKFKYnXX7kYkyJxtREHD1D6TNsFF3cvtISKKzJDo/AVTVIFXmqtn85UUMBpFhs5pxauNN0mILmLCgHaZmJYsyebtjUR5Pwq53AHZdjUJAsjKZsbvGYmliye/9fr8jxpaGLquY/F0xqK/noHC2QNvFhu2Kg9RwqEG/oH7os4tRR+ZQHJmDJiYfDCKmHlZYt/LEqqkbcsu7l2UUhWaSuzEKmYUJzuPrYu5nh5gbT86yUxRn+eJothjrlj7Q4U3jl3jsCdR/LiMrfQp6+7MM9lrNs/XG8VbLt0goSODn0J/RXsxmeuoYcp1UuNbwQQzJx6a9F/YDbkdOZ0TCzhnGaMlWL6C6biB3UxS2XXyx7xNw70HrtRC+haz1qWjlDfB4vxsFQiGvHn6Vq5lXebvV2zR3b86prevI23+RiC4mXLCORRAFTOQmzGk9h2eCn7ndlJYd33xGzKUQfOs3ou8rb97X30wn6Pjxyo+cTD6Jt403vna++Nv642fnh5+tH25WbqWK+gfjD/Lm0TfpFdCLLzt9eU9CvQJtAUO3DcXG1IYNAzfcSQwoiiKfnf+MdZHrmNZ4Gi83efmuejkpyayc9Qr1OnWl90vljLbVFsFP7Y3+YhWw2ai2iCKc+R/c2GP0EnYKNNo7OAUZ/7ZyrjyxMC8R1gwz2kqM+A3q9CP15g22L1qAmaUVzy5YdGe5a1kIBgPbvv6EmEshtBv5LG2Gja6SiPGvz37BwVOr+bz7QhroipGd+Qp51jVkXg2h/QzjRdU/xeZ2rxlFzSpAFEX6b+2Ph7UHy3sv/3tD1k1jxLOJuVF4LuUi8Q4734QLy29PmjwCsefy77BtmtELObhX1e+vJAx6o/idfcv4v0xuHNfWrsaHTA4pl0Cdb9xu6WScHPBtBc2eA+uyf08kJCTKRiguJuuXX8hZthxMTHB5+SWcnnsOudl9VmZJSFQBR1cv4/Ke7Th4eJGXlkrPqdPLTBp4Pwr27ccswB+L2rXvX1hCQuKpRK/VsnL2K8hkcsZ9vrhc9zsPQkhaCG8cfQOlVkmfwD5M9h9AcGY03NwPMccQNIXsyG/DrVRTbgYWMX3mtzRwvR3ZnBFpXAlp7QKT95d6/ft1yNesjFjJZx0/Y0DQgL83pF6Fve8arQRlCuM9iXPNux+2HiDoUarzWBW3i1WJBygyaOjv1oLxzWdQz81otZWZEMeq2dNpO2IM7Z55Fp1GzbHVy7l6YDeufgH0e3VWiTaJgmBAXViIpZ3907mauAwk0VkSnas9VTFI1UodW76+iCpPw5CZzbBMLCTvWhbHr2bTaGQtGnT2uadO4Ylk8nfFGD2PB9VAJpNRoC1gwu4JZBRnsKbvGoIcgsrfh6hc8nZGo88oxrymA6Ze1qgjc9BnFANg4mqJRR0nTBzMUV3OQJekRGYqx7KhC9atPTHztaVgXxyFx5Iw87fD+dm6KAypcGIhXFmLKJqQZfYDmkI3XCY2wCLYGE0rFOlIX3wJmajCzew1PrJUsd3Wlp4+ndmffAITuQkja4/kOZNn0G1OBr141zGTHW20edAqjQ8TC2jyLLkFz6IKLcJ5Qj0s693+oShIRQxZiS7kEBqlN/n6Kdh1dcOut/HiWK1X89bxtziSeAQrtYKhx7zIcjWgHBhIQ5eG1HOqx/qo9ZxKPsXI4JG80+odTBWmGPQ6UqIi8a5Tr8wIU4A0VRpvHX+LyxmXaeLahDxNHknKJPSC/k4ZC4XFnWSPnja3kz9aeWCqMOWj0x8R7BTMsl7LsDApORr2dPJpXjz4IhPrT2Rmi5kAfHvpW5aGLWVCvQnMajGrxB+fY2uWc2HHFp79dBEeNe+fjBCA+DPG2eCWU6D/wvLVqWwSQ4zRtt7N71+2NAQD7J5lFCHd6hlFt4Lku8tYOECTsdD2FbC/9zN5X7RFEHcSbh2E8K2g18CYdRDQntCDezn8209Y2jugysmhbscu9H3lzfs2eXT1Mi7u3Eq3yS/RtPeA+5Z/UJIWfELhqt/veV0mB7mpASsPA/Y9O2E9+WPkTsZz8/PVn9EJOl5p8kqlXuyEpIUwed9kFnRYwMAa//KKTAszZva2dILJe+9OCvhPbh6A30cYPbR7f1ppfSsTvRa+a2qMFJ6899Hs899cXgPbXoGuc8HSEZQZoMoAZaZxmZ9ebUy84tvamB3ducbjjcqWkPgPIAoCmlu3KDofQvayZehTU7EbMAC32bMwdX/6EvhIVB/SY26x5t0ZmFtbM3jmXHzrS37iEhISVU986BU2L3gfZx9fBs2cg6Ond5XsJ6Mog5XhK9kYtZFifTGdfTozpeEUGtrUYtviT4m7GkZYsJJXpn1FS8+Wd1dOOAurBoN7fWOAipn1Pe3rBT3P73+eqxlXcbJwQoaIQlOATKNCIZMjt3LG3akWtZ3qEOwYTG2n2gTZB2GmMKNYX8y6yHUsv7acfE0+Pfx68EqTV6jpeK+F3bavPyExIozBM+dyYOkSclOSaD5gKB1GT8DE9CleNfyASKKzJDpXeyp7kGrVerZ/e4WsRCUDX2uMM5D12zWQAQLkymTUmFgPy2DHO/suuppBzrobWDZwxmlsXWRyGTpBx7SD07iQdoGfe/5MK89WFe6LaBBQnU0l/0ACos6AeaA9FnWcsKzjhInL3bOQ2mQlqvOpFF3JRNQYkFuZIBTpsW7tgUMHBbLTi+DqOqMq1WwCdHgDwdyDzJ9D0WcX4zq1EabeNuSsi6T4WjZurzTBzAUyjn/GgKRtCDIY6duTye3m4mJpjBzWxBegTSrEpq2XMbFgXqJR8NSqjL5LMjmc/h5C1yPqIUP+M3qDKw7t5egirqLNVKAVagDG6F8TNyvcpjVGbvF3tLZBMLA9ejtZG4+jDI9l4sIfcfTwvGv7d5e/Y/m15TRza8bCLgvv9O9+nEw+yZwTc1Ab1HzQ9gP6B/W/02aqKpWEwgQSChJIKEwgTZVGmiqNVFUqWcVZd9rwtvEuVwT7x2eMns8r+qzgUsYlvr30LSOCR/B+m/dLFQA1RUUsnzEVezd3xsz/qvxLcPbNNUYID/0ZGo8uX53KIOkiHJ4PMUeN/7eYbEzCV9GIa50aNk+ByJ1GT+UeHxmFNp0a8uL/ToiXfAHC/zRua/iMMZrXvV7p7YoiZN4wisy3Dhp9sA0a48RIQEfo8SF659ocXv4jYYf3E9C4Gf1em83lPds5s2kdfaa9Qf3O3Utt/saZE+xc/AVNeven++SXSy33sOgyMoju2QtVk5r85nKdQT59aG5XH0FdjKhSoo+PQHkpCkNuHnJbW2x79iS6pRev5P2IKJcxrq5x5cL9hGdDYSHauHgsagcjKyPqb+7JuRxOOMzhkYexNCkhOiIxxHiR6OAHA7812keIIiAanw1a4/tt5QwvHAHTyvddL5VzP8Oet4yR2P7tHt1+wWgj8n1zo9g89agkJktIVBGiVktxeDjFFy9SdOEiRZcvI+QbVw+Y162Lx9w5WLV4gKSnEhKVjCiKRBw/jFdwnSoTfSQkJCRKIi70Mru++wpBr6ffqzOp0bz1A7UjiiKCQY/CpHTxNV+Tz7rIdfx+/Xc0BQUMCA3EOlNPSL08pk1ZQCefUmwiI3fB+nFQsweMXmv0Xv4X2cXZLAv9FVXKBYTUUATRgOASjOBWF4NcTlJhErfybqExaABQyBQE2geSp8kjqziL9t7tebXpq9R3rn9P23+RFn2T3+e8AYCNkzN9pr2Bf8Mm5T9JEnchic6S6FztqcxBatAL7FoSStL1HPq82BC/AFsyvruM3NYM1xcakrAjBv3lDCzlMky9rLHt4ovcwoSsleGY+dniOrkhMlOjMDj/zHw2Rm3k4/YfM6TmkJJ3qCuG9HCjh2zqFciOMS7zbjHlrqyuos6AKIDc/P5eq4LGQPHVTIojsrEMELDO+8koNstNoPlzxqX39n9fyBoKtGT8eAVRK2DTzouCA/F32YMAxMcdxXrHDFxyk4xJ6ppPvHfHhelGwVmVBc9tB68m/9iWBud+Rn9uO+mFHyNiC2gxs1NhVssHs9q+mPnZorA3L1EISwwPZcP8ObQZPob2I58t8bj3xO7h/VPvY2dux3ddv7vHP/mf6AU9S64s4dewX6nlWIuFnRcSaF+6V/e/0Rq0pBelk6ZKI9gxuFyJHYt0RQzbPoxCbSEF2gL6BfZjQYcFKO4TiR1+7BB7l3xTsaSCBh2sHmr0f520G3yq+GY67Roc+RRu7DYKhx3eNHrUnvnBKDQOWQIBHcrXVnEurBsLCaeh92fQdlrZ5fMS4MwSuLTS6MlVq7dRqHauARnXbz8ijM+ZN0BbaKznWgdqdDd6iPm3A1NLCrOz2L5oAWm3omg9dCTtRj6LXK5AEAxs+vg9UqOjGPfZYpy97/XQzUqMZ+3cmbj6BzLygwVlXmg9LGmfLiB37VqC9uzmlcj5RGRFsGPojrsmPkS9HtWZsxTs2kXBgf2IqiIKbUwoqOfDFSGemjVb0KXxMEzcXDFxdUVubo7m1i3U1yNRR15Hcz0SXbIxstyqZUt8f/0FeQm+1oXaQrpt6MbAGgN5v+37pXc65hj8/oxR5C8JuSm8cBg8H3FUl7YIFjc0fl+N2/xo931xJex4DcZugODej3bfEhIPSHFoKPqcHGw6d672y0NFg4HcP/4gc/G3CIXG736zgAAsWzTHqnkLrFo0x9THp9ofxz/RaQyYluNaUEJCQkJCoqIUZGawbeGnZMRG02b4aNqOGFPiquGCrExunDlBalQkmiIlmqIiNCoV6iIVGpUSURRp2LUnnZ6djIVN6cFHCbci2PzFh+hUKk40yuKVUR/RJ7BP2Z288JvRxrPxWOM9pkwGxXn/uOeLMAYX5cYZ7wt7f3pPbhmDYCC+MJ6o3CiicqKIyo0CYHKDyTRzb1auc3Vw2Y/oNWo6T3i+zCTwEvdHEp0l0bnaUxmDVFOkIzU6n/DjycSFZdN1fB3qtjZGAesyinCb3gRTVysEQWTt+2fwNZNT28oEfdZtqwt3K9xeanzHT/ls6lle2P8Ck+pP4s0W/1qSH3cKrqw1iswZ10E0GF+3dDKKwWlhYG5v9GFt/TLYuFb8gLKj4fjXELreOAPYfKJRbLbzLLG4LrOIzJ+uIqj0mAXY4Tq1kTFy+Z8U58KmKRB9CFo+D30+/3t2sSjHaKmRlwAT/jT6jZaEphDtyU0IBgvMOwxAZlX2F7QgGEgIu8rhFb9g0GmZuHAJpualR0Fez77O60deJ7s4m3dav0Nj18aYyk0xlZtiIjfBVG5Kka6IeafncTH9IsNqDeOdVu+UHJ1ZBVxIu8CU/VPo7NOZhV0WYiq/vzApiiLbFy4g5lIIYz7+Co8a5UjIBsbkZL92NS7Pf+HIXRMNlUbWLaPYHL7FOGbbvwqtXwLz2+9r/Bn482XIjYXWLyN0fY/CAhX2bqUsX85PNlosZN2EoT9BwxHl70tRDoQshXM/QVH23dusXIyZkd3qGhPlBXW9J/laYkQYOxd/gU6joe8rb1Cr1d1Rr8qcbFa99SrWjk6M/XThXRnkNUUqfp/zJpoiFeM//xYbp6rz2dWlpxPdsxd2Awfg9emnxOTFMHz7cAbUGMDH7T++p7wgCkzfPRXx9EVm5DZHEZ1EUXoypmp9Ca0DMhlmAQGY16mNRZ26IJeRuegbbDp1wud/3yP715KxjVEbmX9mPuv6r6OBS4OyO58dfdu7WPaPqF6ZcRWJU5Dx8Tg4sQgOfWRMTlLad1dlo9fC982MPtvPH5KinCWeCPSZmUQPGIiQn49F/fq4zngd6w4dqqVoq75+ndT3P0AdFoZ1u7Y4jBqNVfNmmLiUbyVUdST6Ugb7l4ZTp70nnUcHI1dICYgkJCQkJCoXnVbDoaU/En7sIIFNmtP31VlY2tiiyssl6twpbpw+TnJkBACOnl5Y2jlgbmWFuZU15tY2WFhbo1YWEnpoH5a2dnSf/BK1Wre/51rh5rnT7P5hIRY2tgyY+Q5yd3s8bUrWKu7h6Odw9DPwagbK9LstGM3twKMRdHgDaj24J77Eo0MSnSXRudrzIINUlach5VYeqTfzSLmVT3aKEkSQK2S0HVqDJj38yNsejfJ0Ck7P1sGq4d/Cb9jRJI7/EcWQN5ripDNQfD0H+17+KOyNIpTOoGP4juHoDDq2Dt76t89vYRrsn2dM7mXpaPS79WxijLDzbGL0pJXJjFHPJ7+BiO3GBFzNJkC7V40Ro/cj6yYc/wrCNoLCzGhv0P710n1U/4E2sZCCQwk4DKqBiVMpwq5ggIMfwunvwL89jFxlFJ5XDoLMSHh2IwSWvBwmNzWZqwf2EH70IIIg4N+wCQFNmhPYtDm2TnffBOakJBN+7CARxw+jzMnGwtqG/jPeJqBR0/seR446h1nHZhGSFlJqGUsTS+a1mXev/+wjIEWZgpuVGyZyk/sXvk2xspDVb72GwsSEcZ9/i7mVVfkqZlyHpT2MyREm7QGzctYrD3kJ8L9WRguVNi8Zx6il473ltCo4+CFpx9ZyMKs+6UozOg0fRsvevY11/3oUJMMfzxq9m0evgaAuD9YvbRFc22RcReBWF1zrljlxo8zN4fSGNVw7chAHTy8Gz5yLs8+9kcwAsVcusuWzD2jUow89X5gOGL1Bty9aQPTF84yctwCfevcRXh+StI8/IXf9emrs3YOZj9GredHFRfx27TdW911NE7cmd5VfE7GGL0K+4L3W7zGqzijAKER/cvg9ToRu53mv4fS1a4NQVIR5jRqYBwcj/9f4yv1jPWkffohdv354ffUlMsXfEQ9jd42lWF/MlkFbqqXwVC60Kvi2sXG8PLfj0ezzwnLY+QY8u1m6IJZ4Ykh67XWUR4/i+vrr5K5diy45GcvmzXGb8TpWLVvev4F/oY2Lw1BYiEX9+ve1jxKKi8nbupXcNb8jMzHBpltXbLt3x6JBg7u+e4SiIjK//x85q1ahcHDA/d13sevf78n9frpNXFgWe34Kw8reDGWOBr/6TvR+oQFmFuW/lpCQkJCQkCgPoigSenAPh3/7BVtnZxw8vEgIu4ooCjj7+FGnfWdqt+uIo4dXqW2kx0az/+fvyIiNpkaL1nSf/DK2zi6Iosi5rRs4tX41njVrM2jWXGwcnSraQTj8sTEnjGsdo72i2+3HX5qKxBODJDpLonO1p6KD9MLuWM5tjwXAxFyBZ5AdnjUd8KrpgHugHSZmijsezTYdvHEYcHf0nU5rYNWc03gE2dN/2r1LwZeFLWPxpcX80P0Hox+RQQ/nf4EjC4xLy9vPMM683U8AzLoJpxbD1fUgClCjq1Go9mpmTCxl4/Z32cwoOP4lXNsMCnNjErl2r4FtFSXECd0A218lVudHVIEzzoZk3PrNwK3DqLuW0AgGA9GXznN1/27iQy8jVyio2bIt5lZWxF65iDLHGJHq4hdAYJPm2Lq4EnnyGClR15HJ5AQ0aUb9zj2o0aJ1hUz5dYKO86nnUelU6AU9OkGHTtChF/ToBT0dvDsQYB9Q2WelSkmOjGD9R+9Qu21H+r1acuLBErmxF9aNhvpDYcTyyvsR3j/PaJ/x6oUyI1TVSiUn/1jF1YO7sTbR42xWSILKkXYucbRxSby7O9ZuMG4TeDaunD6WgU6tJmTHFkJ2bEbQG2japz9tRzx7X0H/+O+/EbJ9MwNmvE3tth059+dGTq5bSZcJL9C8/+Cq7XNaGtE9e2E/ZDCeH/8d1VykK2LgnwNxtnBmXf91dyxbonKjGLNzDG292vJ9t+/vGjMGwcDcU3PZFbOLWS1m8Vz958rcd/bSpWR8vRCHUaPw+PADZDIZN3NvMmz7MN5q+Rbj642vmoN+VJz9Efa+AxO2Q1Dnqt2XXmNMYGjnDVP2SxfGEk8EBfv2k/z667i+8QYuL05F1GrJ3bSJ7B9/Qp+ZiXX79ri8Mg3LBg1K9YAXRRFNVBSF+/ZTeOAAmps3ATD18sJu4EDsBw7AvObdCXv0ubnkrl1L7prfMeTmYtGoEXJzc4ouXgRBwMTN7Y4ALep0pH3yCfqUVBxGjsRt5pso7O9vf1XdSYrMYef/QnHysmbwjCZEX8rk6NobOHlZM+CVRtg4PkIffAkJCQmJp4aUqEj2/M+YmL52u07UadcRF7+ActcXDAYu7d7GqQ2/I1fI6TB6AilRkUSeOkbdDl3o9eJrmJSRN0bi6UASnSXRudpTkUF6aV88Z7ZGU6uFG417+OHqa3PP8kRdRhEZ/7uMqacNrlMbIith+eL5HTGE7IpjzAetcfL8O3NqqjKVwdsG08azDd91+86YqGzXLMgIN/rH9vvK6DVbEfKT4ewSiD5sjFzl9nHa+4LX7cjf6zvA1PJvsfmfgnQVcXPPGnauXIccAb34d+Sjnas77oE1sHVxJercKZTZWdg4u9Coe28adut9ZyZTFEWyEuOJvXyBuKuXSI4MRzAYcPL2pX7n7tTr2LVKbQqeRM5uWc+p9avp/fIMGnSpQHTkyW+MEepd34POsx++I1oVLKoLNbrBMytKLPJXMpxja5ajLiykaZ8BtBs8GNP4o+zbcYKIa3G0al2bDh3qcEdyq93XODtdhQiCgfCjhzi1YQ2q3ByC23Sg45jncPAo33Iug17P+g/fJjspkc7jJnNw6RKC23ag/2uzqzySLm3+fHI3bKTG3r2Y+dxtl7I3di+zj89mbuu5jK4zGo1Bw5hdY8guzmbLoC0lJrrUC3rePv42++P381bLtxhVexRmitIv/DIWfUP2L7/g/MLzuM2cyZchX7Iuch2HnzmMo0UJUe6PgcIjR8hc/C1WrVph260rVi1a3GMJUiI6tdHu4lEIwed/hd2zYPyfxslECYlqjiEvj+gBAzFxcyVw/fq7PlNCcTG5a9eR/euvGPLyQC7H1NMTM38/TP39MfPzx9TLC3VYKAUHDqCLTwCZDKvmzbHt1RO5rR0Fu3ahOn0aBAHzenWxHzAQq5Ytyd+2jbzNmxGLi7Hp0gXn56dg2bw5MpkMfW4uymPHUB46hPLkKcRio92ZWc0aeM6fj1Wz8nkyVndSo/PZ/t0V7JwtGPJmUyxtjN/RCeHZ7P31GmYWJgyY3hgXnwom7JWQkJCQkCgnoig+1H1OXnoaB379HwlhV0Amo8PoCbQaPOKJX4UkUTlIorMkOld7yjtIrx5K5OTGm9Rq6U6PSfWQ/9uzGGMSvowfLiOo9Li/1vSOZca/KS7UsnLOaYJbudNtfN07r7959E1OJJ3gz0Fb8D6+yLiE2t4X+nwGdQY8vJChUULqVUi5BMmXIPmi0Wu5xSSj2Gz9aLwKb547zc5vv8A9IIDhU8djcKpFRmw06bHRZMTFkBF7i/z0dPwaNqZxr37UaNYKuaLsxDfa4iIKc7Jx8nqykvo8SgTBwKZP5pF660apCe1KRBRh64tGj+9Ra6DuQ9qKhCyFXTNJ6bYclYUniCCKAsaPoIhgMHD1wB6SI8PxDK5DjynTcAv4OxpaFAQOLl1C6KG9NOs3mC4Tnq/y91wURWKvXODE2pVkJcThGVyHzuOm4F277v0r/4v8jHRWv/MaGpUKF19/xn6yENMSkuxVJrrUVKJ79cZ+6FA85390z3ZRFHlh/wtE5ESwc+hOloYtZXXE6r9XXJTWrqBj5tGZHEk8gonchNqOtWng0oAGLg1o6NKQALuAO5HToiiSNn8+eev+wHnG64xwWEsLjxYs6rKoyo67ImiTkokdNgyZuRlCQSGiRoPc1habjh2x6dYNm44dyo56/CsxycMk9tMUGpOZOJTy2dSp4bsm4BhgtLyRvuskngBS3nmX/J07Cdy4AYu6JX9nGpRKlIcPo42LR5uQYHzExyPk5xsLmJhg3bo1tr16Ydu92z3eyvrMTAr27CF/x07UYWHGF01NsR8wAOfJkzCvVXo+A0GtRnX2LIbcPOz79ys10ro6ocrXcHrzLQBqt/HAp47TPdelmQmF/LnoEpa2Zgyd1Qzrf12TZiUVsvN/oWjVevq80AC/+tJEvYSEhIRE9UQURaLOnsLc2rpclpkSTw+S6CyJztWe8gzSa8eSOLYuihpNXen1fP0Sk68IWgO5G6MovpaFy5QGWNQsO3Lv2NobRJxOYcKn7bC2N+dU8ileOvgSrzZ9lam5+XDkE2MiwO7zwMy6zLYeClF8pMLFHcE5qCbD53xcqh2BIBhKzHYr8XD8ldDOxsmZsZ8sLP+SJJ0aVvQ3ZvSt2cMoejkFgmOg8W97X1CUwxtSEBD/14oTSU6ExJe+bwtbOzqNnUiDLj1K9OoURZEjK3/h8p4dNO7Zl+6TX76vp+eDknT9Gif/WEVyZAT27h50HDOR4Db3JrSoCNEXz3N64+8MeP0tHD2rIEnjv0j96CPyNm2m5r69mHqV7J/2V1LB+i71uZp5lVG1R/Fem/fu27ZO0HEs8RihWaGEZ4UTnh2OSqcCwMrECm9bb1wsXHCxdMHF3JlWv57G+UQEv/aWM3T2T3T06Vipx/ogiDodcePGoY2OIXDLZkxcXFCdOUPhkSMojxzFkJ0NJiZ4fvIxDkOGlNyIQQf/a2FMQDL1GFRkPGqURhul098ZJwIbjYbu79+bwPPsT7D3baN3dCn+9xIS1QnliRMkvjAV55dexG3GjArXN+TloU1KxszXp9xWF5rYWIouXMCmY0dMPe6fk+JJIzEyhwPLI9AV61GYytEU6bF2MKd2a3dqt/HEydOa7BQlfy68jIm5nGGzmmNbSq4NZa6GnT9cJSdFRcv+AdRt5ynZbUhISEhISEg8MUiisyQ6V3vuN0gjTqVwZHUkAY1c6DO1AQqTu4UEURQpvppJ/p44DPka7PoEYNfl/hGkeRlF/P7BWZr18qfZIB+GbRuGTCZjS92XMfvjWWj4DAz75T8VyVZewVmiaom5HMLWzz+iSe8BdJ/8UvkrFqbB7tlGm5a8eDBo72wSUUC76ch6zS+zCUPkPvYveo+IfHca9+xLox59kclkxs/hX8/IsHVxwczCssy2RFHk5LqVnN+2ifqde9DrpVcrdaIiPTaaU3+sIvbKRawdnWg7fDQNuvZEYVJ+f/DqgC4lhVu9++AwfBieH35YZtmFFxayInwFgfaBrB+wHkuTst+DkhBEgbj8OMKywgjPDidNlUZ2cTZZxVlkFWdh0GmYvUmgUbxIzd17sPQPeLADq0TSv/qKnGXL8f5mEXZ9+961TRQE1KGhpH/xJZpbt6ixexcmrqUkl7yyDv58CZ5ZCfWH3H/HumIIWWa0sCnKglq9wCXYaKEhkxsTubZ/zTjxqCs2Jix0rgWTdj38QUs8NkSdrny2LU84BqWKmEEDkVtaEbh1C/InIIK4OiMIIiG7YrmwOw5Hdyt6T22Ag6sVsaFZ3DibSnx4DqIg4hZghzJHDTIYOrMZDm5lX2tpi/UcXBFB7NUskIF3LQeCW3lQo5kr5lb//XEqISEhISEh8eQiic6S6FztKWuQ3jibysGV1/Gr50S/lxqhML1bcNbEF5C/MwZtYiGm3jY49A/CPKj8SWf2/hxGYmQuhrE3+CHiO35u/QHttr4Jjv4wed/9kwU+QUiCc/Xi6KqlXNz1J4NnvUfNlm0q3oBggMJUxOwYIk4c5dihEMyFIjqOGEGtwS+VGAWsU6vZMXsksRkC7UaMps2IZx/aFkMURc5u/oPTG38nqHkr+k2f9dBjKyclmVMb1hB15gQW1ja0HDyCpn0GYGr+ZEZ/pX7wIXlbtpQZ5fwXKp2KxRcXM6r2KGo61iyz7IMgiiKFukIy4yPRPvMith074vP9d5W+n4qgPH6cxKkv4jB6VJmivCY2lthBg7Ht3Rvvr78quZBggCVtABlMOwOlTYLoNXBpFRz/GpRpENQFus4F31bG7bnxcPADCN8Ktl7Q4wNQZcL+92DiLgjo8DCHLFFJFIeHk/TSyziMHoXLSy8hu48NlCE/n9R576M6dQqvr77Etlu3R9TTB0fQakl+fQbF18JQ2NujsHe4/WyPwsEBE3c3rNu2wzy41j3f52nz55O77g/81/6OVdPqsRQ2LTYfa3vzUiN/HxeiKCIKYokr6cBop3FgWTjJUXnUaeNBpzG1MTVX3FPmZkg6kWfSKCrUMmRGU5y8yr9SLi+9iKiQdKLOp5GfUYzcREZAAxfqtPMksNGjsV+TkJCQkJCQkKgIkugsic7VntIG6a2LGexfeg3v2o70n9YIE7O/L+71uWry98ZRfDUTua0Z9r0DsGrmhqwEn+eyyIgvYONnF7jmdRzLDjksun4OlBkw9ahReH7C0anVFGRlkHQ9nMO//SQJztUIg17H2vdmUZiVyXNf/4C1Q8UTuWUlxHFw2Y9G7+WawehSIsgqMsGzZi26PDcVr+C/vTuLCvLZ+sm7pMfH06NLMI1e/qYyD4fLe3dwZOWvOHn5MHj2ezh6lC2ulkRRQT5nNq0j9OAeFCamNB8whBYDhmJuVYX2NlWMLjmZW3364jBiOJ4ffPC4u3MXWT/9RObib/FbsQLrNq0fSx906enEDhmKiZsbAev/QH4fb+3M774na8kS/H5bjnXbtiUXCt8KGyfC0F+g8ai7twkCXNsEhz6G/ATwawfd5pYuIiechb3vGn34AQI7w3PbK3aQElWCaDAQN3IUmps3EbVarFq0wOurLzH1LDmpaNHlyyTPnIk+IxMzX1+0cXG4zZqJ0+TJ1ToPQdr8+eSuXYfdgAGIWi2G/HwMeXnG5/z8Own4TNzdse7YAZsOHbFu1xZNVBTx48bj9NwE3N999zEfBei1Bk5vvkXYsWRc/Wx55t0W1eq8H1kTyfXTqdg5W+DoYYWDuxWOHtY4eFihKdJzZPV1dBoDncfUpk7b+yeuFQWxwtekd+qKIhnxhUSdT+PmhQyKC7S0GRJE8z4BD9SehISEhISEhERVIYnOkuhc7SlpkCqzVaz94DTOlukMqrkWU7HA6GmrV6MuCiCr8A1QmGHb2Rfbzr7IzR98Sf8nXy3FPjqAHs23UjdlLYzfaox6e8IoVhYSsn0zuSlJFGRmUpCdibqw4M52z1q1JcG5mpGdlMiad17Ht35Dhr7zYblvwLXqYs5sWsel3dsws7Si07OTaNClB2LyRcIXjudUbm1UagPBbTvSccxzyGQyNn/2AYXpyfTzvkGtD06BTSn2BA9BfNgVdi7+AkSRATPewb9Rk3LV02u1XN67g3NbN6BVF9Ooex/aPTMWK3uHSu/jo0Sfk0PaR/NRHj5MjQP7q523qaBWE9OvP3JbWwK3bL5vlOiDIBoMpbYrGgwkTJxE8bVrBG7ehHlQUInl/omg0RAzcBAymYzA7duQm5eQLFYQ4JdOxqSA0y+A4vby9JhjcGCeMZmrRyPo8SHU6HZ/CyVBgLCNcGEZ9P0SvJrct58SVU/OqtWkL1iA96KFiDodaR/NB1NTPD+ej12vXnfKiYJA9tJlZH77LaaenngvWoh5cDAp775L4Z692A8fhucHH5SavM5QWEjeps2IGg32Q4di6u72qA6R/O3bSXnrbZymTMZ99uwSy+jS01GdPIny+AlUp08jFBaCQoHcwgKFoyNB27chf8y/+1lJSg4sDycnRYV3sAPJUXn0n9aIgGoSvftXAIJfPSdMLRTkpReRl16MQS/cKePkZU3v5xtUKHK5MhAMAgdXXOdmSDodnqlF4+7lTEAsISEhISEhIfEIkERnSXSu9twzSIty2PvJJuJyfBlT7yfs7UUwtQQTC0QTSzIi+iIUC7iazcFk6EfQaOQD7/tQ/CHeOvguk0M/wNWQzIjRGuQdXq2Mw3qkGPR6Nn86j6TIcJy8fLBzccXO1Q1b59vPLq541gx+4rxwnwYu793B4d9+pvuUaTTp1e++5W+GnOHIb79QmJ1Jg6696Dj2Oazs/mEpc+hjtMcWccFzBiFnQhH0BsysrBANeoZ4XsKnVW8Y8kOVHU9eehp/fjmfnOQkOo+fQrN+g0oV00VR5MaZE5xYu5KCzHSCmrWk07OTcPbxq7L+PQyiVos+JwcTN7dSkyaKWi2FR4+S/+c2lMePg16P84sv4vbGjEfb2XJSsHcvyTPewOPDD3EcPer+FcqJLj2drCU/krd5M2Y+Plh37IhNxw5YtWyJ3NLoU535/f/I+uEHPD//rPTkgCWgPHmKxOefx+XV6bi+8krJhW7shXWjYOC34NsaDrwPN/cbE252m2f07K+kxJeiVgtyOTKTciTy/I8h6nQoT55E1GiR29igsLFGbmOD3Nr4LBQVo42PQxsXhzY+3viIi0OfkWm0hnBx+fvh6oLCxQXb7t0xcXIqc7+6tDRi+vXHsnlzfH/5GZlMhjY+nuSZs1Bfu4bDqFG4v/M2gkpFyltvozp9Gts+ffD8eD4KW1tj3wWBrP/9QNaSJVi1bIn3d99i4vj3ihNdaio5q1aTt2EDgsqYmBMTE+x69cRx3Dgsmzat0khd9Y0bxI0ajWXDhvj9trxc40vU6ykODUV54gTFFy/h+vprWDVvXmV9vG9/RJHQI0mc2RKNmZUJPSbWxbu2I2s/OIu5lWm1iHYWRZGtCy+Rl17EuPltMbM0nmdBEFHmqMlNK0Kt1BLUzA1Ts8eTXNlgENj/azgxVzLpOq4O9TqUvpJIFEVuXczAoBPKFZEtISEhISEhIfEwSKKzJDpXe+4apOnhxP36CbuSXqBNyzyaTxl2V1l1VC5Zy6/hOMAL65uvQfxJ6Pw2dHm3wgn/ctQ5DN02FDeFJR+HKDiUP5MOz9SkcffqKXiVxcGlP3D1wB76Tp9JvY5dH3d3JCqAKIps+ewDkq6HM/6Lb3Hy8im5nCBwfO0KLuzYgotfAD2mTMO7Tr17C+o18EtXKMpGOWY3p3bsJC36Jv07euJy6Ut46SR4NKzSY9IWF7Hnh0XcCjlL/c496PHCKxh0Ogoy08nPSDc+Z2aQHBlBesxNXP0C6Dz++XJHRj8OVOfPkzr3PXSJicgsLTEPDMSsRg3MawRhFhiEwsGBwv37Kdi1C0NeHgpXF+wHDsJ+yGAsgoMfd/dLRRRF4sePRxsdQ419e1HY2T1Ue/qcHLJ/+ZXctWsRRRH7AQPQZ2dRdO48okaDzMwMq5YtsahXj+ylS7EfNAivLz6v8H6S35xJ4cGDBO3Yjpl/CVZIogjLekJGJOhUYGYLnWZCqxfBtPK8ZEWDgbhRo9Glp+E8cSIOo0ajsHly7WDKi6BWk7dpMznLl6NLSSlXHZmpKaZ+fpgFBGDq7oYhvwB9Vtadh5CfD4Cpvx/+q1aXGVGc9OqrKE+cJGjnDsx8/v7OFLVaMr/7juylyzCrUQNDfj5CYSHuc+bgMPKZEgXO/B07SJ37HiYeHvj+9COiTkfO8uXk79oNoohd3744T56E3Nqa3HV/kLdlC0JBAeZ16+L07Fjs+ve/M5FSWRgKCoh95hnEomICt2wuPXFmNaaoQMuhlddJCM/Gv6Ez3cbXxcrOGE1+/XQKh1dF0m9aoyrxKs6IL+D8zli6jK2DjWMJqyH+QfSlDPb+co0uz9amfkfvSu9LZWHQCez+KZSEiBx6TKxH7db3rpzJTVNxbN0Nkm/kATDwtcb41XN+xD2VkJCQkJCQeJqQRGdJdK723Bmk4X+i2zyDtelfYurgyqgPO6EwuTsSLeOnqxhy1XjMbokMPeycAVd+hwbDYfCScosJoijy5tE3OZZ0lD/S86hl5cVO/XekRisZ80Hrapfgpiyu7N/NoWVLaDloOJ2enfS4uyPxAChzslk5ezr2bh6M+fgrFP+KaNPrdOz9YRE3zpygSe/+dH1uKvKyrBBSrsDS7sbPxbBfwKCH75qAYwBM3FmVh3IHURA4vWkdZzevw8TUDL1Oe9d2E3NzHN09adpvEPU7d0deWsK3x4ygUpGxcBG5a9di6ueH49gx6FJS0EbHoImNQZ+SeqeszMwM2x7dsR8yBOt27Z6YyFd1RASxw0fg9NxzuL/z9gO1YSgsJOe338hZsRJBrcZ+8GBcXnkFMx+jiCOo1RRduGi0ATh5Au2taMwCAwnctBG5dcVFWl1GhjHStXFjfJf+WnK0ZPxp+GMsNB4LnWaBVdnRsw9C3qZNpL43D/M6ddBERiK3t8fp2WdxHD/urqjZ/wqGggJy164jZ9UqDDk5WDZtivMLz2Pq7YOgUiKoVAhKJQal8W+ZqSlm/gGYBfhj6ulZpoWLoNVSfOkSSdNewcTDA//VqzBxvlcwKzx8mKRpr+D65pu4TH2hxLaUp06R8s47KOzs8V60CIvaZU/8FF2+TNL0VxGUSuPkiJUVDiOG4/zcc5h63y1ECkVF5O/YSe6aNWhu3kRuZ4dNx47YdOmCTccOKBwc7n8iy0AUBJJefQ3lsWP4r1qJVbNmD9Xeo6ZYqSXiZApXDyWiVRtoP7wmDTp73/UZNRiEKo123rb4MkmRubgH2jH0zWb3JKG+0w+dwNqPzmJqrmDk3FbIH9CD+VGh1xrY+b+rpNzKp88LDQhq6nrn9Yt747m0Px4TUwWtBwVx7XgyGpWO0e+3wtKmZOsYCQkJCQkJCYmHRRKdJdG52nNnkH5gx2nxLS6nt2XorGZ41XS4q5wmJo/MX8JwGFQDm3a3lxaKIpz8Bg59BD4tYfRasLm/3+LOmJ28e+JdZuitmZKRAi8eo0DwYN1H5/Ct50S/lxtV9mFWCQnXQtn06XsENmnO4NnvVVvhTuL+RJ07xY5Fn9Fm+Gjajxx353W1Usm2hZ+QFHGNTs9OosXAYeW7QT/yGRz7HEb9DoIeNj5n/LvugCo8inuJvnieuKuXblu+uGPv6oadmzuWtnaPfVn1/VCdOUPqe/PQpaTgOH4cbjNm3OONKqhUaGLj0GekY9WixUNHCj8uUufNI2/rnwTt2I55YGCF6ubv2EHaJ58i5Odj26cPrq9Ox7xGjTLr6NLSkFtZPdT5yvn9d9I//gTvRQux63d/a5rKRlCpuNWnD2bePvivW4s6LIysX35BefAQMisrHEeOxHHcOEw93J+YCYjSMCiVZP/8M7lr1yGoVFh37IjL1BewbFH5gmFRSAgJL0zFzM8Pv5Ur7hLvBZWK6AEDUdjYGH3ITUu3jBI0GmQKRbnPvS45mbQFn2HZsCGOY0ajsLcvs7woihRfuEDe5i0ojx/HkJMDcjmWTZti07kzNl06Y16rVoXPT9Yvv5K5aBHuc97FacKECtV9nGQmFBJ6NImb59Mx6AW8azvScWQtnL1tSix//XQqh1ddr/Ro5/S4AjZ9bvRnTojIoUEnbzqPrV1i2cv7Ezi95RaDXmuCb73Kn5SqCrRqPdu/vUJmQiH9Xm6ETAbH/oiiILOY4NbutB9eCys7MzITC9n0+QX8GzjT96WG1f73VkJCQkJCQuLJRBKdJdG5eqPOR2bpAEDmqnfZcKYHddt64j1AwcILC7EyseKDth/gYOFA5tIwdGkqPN9uicz0X+JqxDbY8iJYu8K4TeBa8g0GQLoqnaHbhxIkmrIy6gqKZ1ZC/SEAXNoXz5mt0fR9qSFBTSpvOWt8fDwKhQIfn5KtEx6EvLRUfp/7Jlb2Doz9ZKGUIPA/wN4li4k4fphRH32Bd+26FGRlsOWzD8lNTaHPK29Qt33n8jdm0MGvXaEwDey8oTgXXrsM0sTEfTEolWR89TV569dj5u+P54JPH6sv6qNAn5VFdO8+WLVsie9PP5arjiiKRk/cH37AsnlzPObOwaJeCZYvVcQ/rS1q7N59x6v3UZH53fdkLVmC/7q1WDVteud1zc2bZP36KwW7doPBABij4OXW1saHlRVyW1tsu3V9Iuw4RFEk6ZXpKI8exa5Pb5yff77K32fV6dMkvvQy5jVr4rfitzuTE+mff0HOihX4r12LVbOm92nl0SEKAuqwMJTHjlF49CiaiOsAWLZojsec8n8uVGfOkDDleez69MZr4cJqLxQaDAIxlzMJO5JEanQ+JmZyarfxpGEXb5y9Shab/0IwCPz+4TnMLU0qNdp5z89hJN/IZcKn7biwO47LBxLoNqEOddvd7YNcXKhlzbwzeNZyYMArjStl348KTZGOP7+5THayClEQcXC3ovOYYHzq3C2cXz6QwOnNt+7rAy0hISEhISEh8aBIorMkOldvsm4hc60FwMbPQ8jLLCJr8Dn+iP0da1NrivXFOFs6s7jW59ivK8K+XyC2nUoRbpMvwdrbibAm7QaXWvcUEUWRlw+9zMXU82yKj8e/8XgYuPjOdoNBYOOCC6hVOsZ+2Bozi4ePTrt58ybr1q1DFEX69+9PixYljscKoSkqYt28Wahycxi7YBGOHtLNxH8BTVERq956FZlcRp9pb7Bz8RfoNRoGzZyLX4MHiL5Puwa/dAFBB70XQNtSkq5JAEbhqGDnTjIWfYM+PR2niRNxfe3VSvdrra5kL1tGxldf47t0KTYd2pdZVtBqSZs3j/xt27EfOhTPjz5EZvbol3AXXwsnbuRIHIYPx2P+R49MpNOlpxPduw+23brivWhRiWW0iYkojxzFoCw02k6oVAhFRQiqIvQZGajDwqrUjkN1+jTFYdew690Ls4CAB24nd9060j6aj/u77+D03HOV18H7oDx2jMTpr2JRry5+y5ajS4gn9pmROIwYgedHHz6yfjwIuvR0CvftI+vHnzDk5eEwYjiur7+OiUvJEb2G/HwK9uwh89vvUDg5Ebhh/QPZzjxqDv4WwY1zadi5WtKwszd123liblX+hMV3op1fbkhg44ef6M9NU7H2o3M07+NPm8E1EAwC27+7Slp0PsNmN8PN/++VFcfW3SD8RAqj57XCybP6n+t/U6zUcnjlddwD7Wja079ECxFRENn+3RXSYvIZNbcVDu5ScIKEhISEhIRE5SKJzpLoXO35a5D+78VDnKu7lauOx3km+BmmN5lOsjKZmcdmMvX6YJro6uL/bgcUZQnBmTdgRX+Qm8DEXeB89xLvTVGb+OjMR7xbqGWs3AleOAymdwtKaTH5bP7qIo26+NBxVPkTgOm1WiJPH6dmizZY2BgjfBITE1m1ahXOzs7Y2tpy8+ZN2rRpQ69evZDLS/YYvB+CYGDb158Se/kCI+Z+jF+DsiN0DAYDZ8+eRSaT0bBhQ2wfcTSgRMVIigxnw4fvIooCNs4uDH/nQ1z8Ah68wTNL4MIy41i3KHu5+NOM6vx5Mr74EnV4OBb16uE+7727olefBgStlpgBA5GZmeL/22+lJi8z5OeTNP1VikJCcH39NZxfeumxRmSmf/UVOcuW4zh2LO7vzUX2gN+tFSHlnXcp2LWLoD2770pkVxGKQ0PvseNwmjQRU3d3RJ0OTWwsmhtRaG5Eor4RhT47C8cxY3AYNqxMb2SDUkXGl1+St2HDndesWrTAfsRw7Hr3rtAkiubWLWKHjzBGwP/y8yM5t/+k8NAhkl6fgWXjxogaDbrUVGrs3nVf64vqgqGggKwlP5KzZg1yc3Ncpk3Dafw4ZGZmiDodypMnyf9zG8rDhxF1OsyDg/Fe/A3mQUGPu+v3JTU6ny1fXaRJD1/aDauJ7AH8kP+KdjazUDByTsuH/h45tOo6t0LSmbCgHZa2xkmw4kItGxaEgAxGzmmJpY0ZOSkq/vjkPA06edNpdPVN9FoZKHPV/PHxeexdLRn2VnMUikf7GZaQkJCQkJD4byOJzpLoXO35a5C+M/tHkrucZk6bOdRxqoNer0ej0aDNKkT1401Wum4no6mW+e3nY29exg1neoRReDa1gkm7jMnTgKTCJIZvH05DvcgviQnIpx4Bt7olNnFs3Q2uHU9mxNstcA+4v+doQVYmOxYtIC36Jh41ajHivU/JVyr57bffsLCwYMqUKVhZWbF//37Onj1LrVq1GDFiBObmZWdVB9AWF5GdlEhWUjzZiQmk3ooi5UYE3Sa/RNPeZfvzFhUVsWHDBuLi4gDjuQ4KCqJRo0bUqVOnXPuXePSc37aJ2CsX6PfqLGydKsHrUhShmi/TflxoYmPJ+HohykOHMPHwwO3NN7AbMOCRi2vVhcKjR0l6eRoAVi1bYtunN3a9et2J0NQmJpI49UV0SUl4LvgU+4EDH2d3AeMFTsbXX5OzbDl2/fri9fnnDxR1bVAq0Vy/DiYmZU443Em8OHkS7rNnP0zXAaMdR/bSpeTv3IVMLscsMBBtbCyiTmcsYGpq9MiWy9BEXMe8Th3c33kH6zat72lLdf48qe/OQZeSgvOUyTiMHk3B7j3kbd6ELj4BuY0Ndv374zBiBJYNG5TZL0GjIW7UaPQZGQRt+7PUSYiqpmDPHpJnzgJBwOvrr7Ef0P+x9ONh0MTEkvHFFyiPHcPM3x/r9u0o2LcfQ3Y2CkdH7AYMwH7IYCzq1av2lhpgjKDd9MUFVHkaxn7U5qFWhUWeSeXQyoePdi7MUbNm3hnqd7xXSM6IL2DLV5fwrGnPwFcbs/vHMFKj8xn3cZunIsnerYsZ7Pv1Gs37GiPAJSQkJCQkJCQqC0l0lkTnak14VjgNXI03vlvO72RIi37IZDJyc3NZuXIleXl5WCsscTJYowo2sDd/H6YOpnzS4xMaujYsveHUUFg5EMztYNJubt5MZOn+bzjpGcOm5Fg8+y2C5hNLra4p1rP2w7NY2pjxzLstUJiULkAlhoeyY/EXGHRamvYZSMj2zbjUqkuGnSuiKDJ58mScnP722QsJCWH37t24uroyduxYHErIdF+QlcHxNb+ReusGBZkZd143MTXDyduX4DbtaTXkmTJvTjMyMli3bh0FBQUMGjQILy8vQkNDCQ0NJT8/H1NTU+rUqUOLFi3w9/cv/Vz+i5CQELRaLc2aNcPyKbEdkPjvIahUZHyzmNw//kBuZobz1Kk4TXwOuYXF4+7aY0dz6xYFe/ZSsGcP2pgYkMuxatEC6w4dyFmxAtFgwPd/32PVsuXj7upd/GUPYt2+PT7ffVumPYFBqUR9LRx1+O1HRATa25NzAA7PPIP7nHfviQoWRZGEiZPQREVRY9/eSk0cqU1KImf5b2iTErEIDsa8dm3jIzAQmakpoihSuHcvGV99jS4lBZse3XGfPRszf38EtZrMbxaTs2oVpr6+eH3+GVbNmt3V7+ILF8jbtJmCffsQ1WrshwzBY957pZ6n9M8+I2flKnx++hHbLl0q7TgfhIIDB9Bcv47Lq68+EaJsaShPnCD9s8/RJSZi07Ur9kMGY9OxY5kJEasjkWdTObTiOj0m1qV2G8+Haquyop1PbrhJ6NEkxn3cBjvne69Nrp9O4fCqyDsJBtuPqEmTHn4P1fcniUOrrnPjTCpDZt6bqFtCQkJCQkJC4kGRRGdJdK7WpMfl4xHoAPw9SHNycli5ciUajYY2jVqSdOYmOTZqctX5d8oYZAZkMhkmchMUMsWd+nK5nMaNG9OzZ0/MssIxrBzMZRsHDl8JQqHUY2KuYXgbV3xe/v2+kZ+xoVnsXhJKi34BtB5071JXURS5tHsbx9Ysx8HDi8Gz5uLs7cvVY4fYtvcAmJsz5fkX8C5h6XV0dDQbNmzAxMSE0SNH4vsP0ff6yaMcWvYjgiBQo3krXHz9cfbxw9nXD3s3d+TlSAQXFRXFpk2bMDU1ZfTo0fj6+t7ZJggCiYmJhIaGEh4ejlqtZtCgQTT7h0BRGkePHuXo0aMAmJqa0qRJE9q0aYOzs/N960pIVBdEUST5tdcpPHQIh5HP4Dp9eqleq08zoiiiuXmTwr17KdizF21sLKa+vvj+/DPmQYGPu3slkrd5C6nvv49Fg/r4/vTTXT7Jok6H8sRJ8rf9bWcAYOLliUW9eljWr49FvXoUXbxE9q+/YhYUhPeihVjU/jsxbeHhIyRNm4b7vPdwevbZR358AIJaTc7KVWT//DOCTofjM8+gOnsWbUwMjmPH4DZrFvIyEssaCgvJXraM7J9/wczfH+9vFmFR9+5VP8oTJ0h8YSqOzz6Lx7z3qvqQnipEQUDU6ZA/oSuNtGo9az84i7WDOSPebvFAthr/5mGjndVKHSvnnKJGUzd6TCo9aePRtTcIP56MnaslY99vXaIP8n8VrVrP+k9DEA0io99vVSk5SyQkJCQkJCQkJNH5MYrOMpmsD/AtoACWiqL4eWlln1bR+S+h+K+/c3JyWLFiBTqdjgkTJmB+LJ/iiGw83m6FwVQkIyODmMQYztw6Q3ReNEqdEjOFGYH2gdRyrIWFwYLQ0FCsHKwoqlPEkZwDWCZr6XnBHZ1fPi7pVuRrzWgxYCjtR47D5D5LsA/+FkFUSDrPvNMCV7+/vZB1GjX7f/6eyFPHqNmyDX2mvYm5lRUajYaVK1eSlpaGeUwEwfXqMejNOShM7r24Tzp5kvV79qKSy+hZvz5NBw7g0LIfiTx1DK/guvSdPhMHd48Kn8/Tp09z4MABPD09GT16NPZleF9qtVrWr19PdHQ0/fr1o1WrVqWWPXbsGEeOHKFx48a0adOGc+fOERYWhsFgIDg4mLZt2xIQEPBER6FJPB38FRHr9s7bOE+c+Li780QgiiK6hARMXF3LFDSrA4WHD5M84w1MfX3xW/orhtxc8rdtI3/nrrvsDGw6dcKifj1M/rES5S9UZ86Q8tbbGPLzcXv7LRzHjgW9npiBg0AmI2j7tscenarLyCDz22/J37IVE3d3PD/9BJv2ZSeA/Ceqs+dIeestDLm5uM2ejeP4cchkMvTZ2cQMHoKJoyMBGzdI0f8Sd3FuewwXdscxbHZzPGtUjre2YBBY++E5TC0UjHinRYV9h8/viCFkVxyj32+Fs5dNqeUMOoHTW25Rs7kbnk9htG/KzVy2LrxMl2drU7+j9+PujoSEhISEhMR/AEl0fkyis0wmUwBRQE8gCQgBxoiiGFFS+adVdIa/B2l2dvZdgrOrqQNpCy9g09Ebh373RhoLosC51HP8eetPDiUcQmPQEGAXgJAl0CCtAeYGc3Q1dAREpqOPS+alWhcwjNvOsSOXCT24F2cfPzpPmYbOxAx3d/cSxVm1Sse6+efustkoyMzgzy/nk5kYT4dR42k1eAQyuRyNRsMff/xBXFwco0ePpjg+mkPLlhDctiP9X5t1J0JZff06md99j/LIEXRubpxu3pw0ezssC3MxTY2n3fDRtBryDPIyEkX9m78E++PHj3P16lXq1avHkCFDMCuHr6ler2fjxo3cuHGDnj170r4E0eL48eMcPnyYRo0aMWTIkDsTBYWFhVy4cIGQkBCKiorw8PCgT58+BAQElLvvEhKPEtW58yRMmoRtz554L/5GmiT5j1IUEkLiy9MQtVpErRaZqWmF7Qz0OTmkvPsuqmPHseneHYv69cj67nt8flyCbdeuj+Aoyoc2IQGFkzMKm9LtREpDn5tL6rtzUB49ik3Xrngu+JSUd96h6MxZAjZuxKL2fzvJmkTFKMguZu2H5whq4kqvKfUrte2/fIcbdvGpUHI/rVrPqjmn8azpQP9pjSq1T/81RFFk3UfnsLAxZdis5o+7OxISEhISEhL/ASTR+fGJzm2BD0VR7H37/3cBRFH8rKTyT7vobGJiwhdffIFOp+O5557D3d2dnHWRFEfk4Pl2SxS2ZYunBdoC9sbu5UD8AbxtvOno1pH0kHSibkShUBXQOtCNXn3aIAZ2Ji0tjXPHjhAeGorO7O8ILkdHRwICAu48/hKh79hs9A+gRV9f1s6dRX5GGv1ff4vAJsaL9qSkJDZv3kxeXh6DBw+mSZMmAFzYsYVja5ZTv3N3uvQcQNYPSyjYuxeDgz3Wo0Zi0bMHkedOcfbyFbQunriYKJjw2uvYlcMntKCggNjYWGJjY4mJiaGgoACALl260Llz5wqJaQaDgS1bthAeHn5P/ZMnT3Lw4EEaNmzI0KFD7wjO/0Sn0xEWFsaxY8fIz8+nQYMG9OrVq1zHISHxqNClpxM7bDgKe3sCNmx4IJFO4slBff06WUt+xKptG+z79UNRgn/+/RBFkdzVq8n46mtEnQ6rNm3w+235f2qywniMa8j46itkZmYIKhXuc+fiNH7c4+6aRDVj/9JrxF7NYuxHbbB1qvwI+FObb3HlQEKFInGvHEzg1KZbDH+rOR5BlRN5/V/mwp44zm2LYfwnbbFzkfJySEhISEhISDwckuj8+ETnEUAfURSfv/3/eKC1KIrTSyrfQiYTn07JGVoACjMzNrq745GWhqlOh6gwAxNTZHotMoPugdoVgUIbG3KdnJCJIlZFRRRbWGC4bXVhptFgWVyMuUaDztQUtYUFGgsLhNuiqolOh1VREXaFhSgMhjttIgOZCLLb/+fb2ZHn6IhCr8c1KwsLjeaefoh/Fb5dv6TOFltZkeXiglwQcM3MvKcdg0yG2sICtaUlxRYW6G9H6skFAYviYizUaizVakz1+gc+X1nOzqhsbLDPz8chL48COztyHR2xVqlwycoqsev/RADy7e3Jt7dHBjjk5WFXUHDfehISVc2/v+2lMSlREf45fv6rY0f6jEiUxaP4DFR0DD4Nn8vKRjpnEhISEhISEpXJX2unLj7WXjw+ZFCq6PzYM2jIZLKpwFT4+4162tCZmKCQy5FBCYKzDh5QcP4LG6USc42GbGdnVFZWWKrVWOblYVVcjEIQjIIwYKFRY1dYCID2tgCttrSkwN6eAnt7rFUqbAsKMNNp4bbgrFcoyHRxQWNhgZVKhXN2NorbExn33DiJ/9CcS5jrkAFWRUV4pqaS4epKmrs7Trm5mOh0qC0tUVtYoL1tlSETRSzUamyVSiyKizHT6SrlxkEGuGRnIxdF8u3tUZubo7GwKLfgDCAHHPPzsVEqyXFyItfRkUIbG5xzcrBUqyuhlxISD490oy1RUZ6GMXO/uVGJp5dHFbfyzzH4136lsVi5/PMcS+dXQkJCQkJCQqLqqGrRORnw/cf/Prdfu4Moir8Av4DRXoOn0F4jIS2HuMZ1yc3Npdcn+xhbKKOfTsF6mZbvRTWtA534cVxznKzNjIms4uMpunwFbWwscitL5NY2yG1skNtYo7C1RWFnh3ndushkMuJDL7P503n0e202ddt3RhCEe6whZIBBp2PD/HfJjI9l7Mdf4+ofiDlgD+Tm5nL+/HkuXryIVqtFUaymfp1uBLf0YufOnRgMBvr3749/48bIZDJEg4HCAwfJXrYMdVgYCmdnnMaPx3HMaBRlJPT7qy+mooi4cBH7b0SS4m1cWqpQKPDx8SEoKIjAwEC8vb1RVMDvuSLIACdRJGTfPs6ePUv9+vUZNmwYsgruzxRwB6Kioti+dy85OTm0b9+eHj16/KeWpUs8GeTv2kXKzFk4ThiPx5w5j7s7EhLVFunbWaIkbpxN5dCK6/SYWJfabTyrdF8yIC+9iI2fX8DWyYJhs5thZnH3JXthjpqQXbFEnk7F1c+WEe+0AOnaotxcP5nCkTWRjHinBe4Bkg2ahISEhISExINz6a9rsKfUXqOsa9CqttcwwZhIsDtGsTkEGCuKYnhJ5Z9WT+eMAjXu9kZPuT+/PEPzbB1XPc0JrWGNibqIUwfO07ooieHmuRAeiiE311hRLgdBKLFNx7Fj8Hj/fXZ88zkJ167y4o8rMblPQj1lbg6/z3kDucKEZxcswsrub4FYFEW2fv0pUbFxCB410ApG2wsvLy+GDx+Os7MzAOqICJLfnIk2Lg5Tfz+cJ03GfugQ5ObmFT4vWct/49LatVi6utJoxuvYt25d4TYeFFGvJ3v1aqK3bqXWpEk4DR36UO3p9Xr27t3LhQsXaNeuHT179pSEZ4lHgqjVUhweTsKU57GoUwf/lSvKlUBOQkJCQsKITmvg93lnsHa0YMRbzZHJH83vd0J4Njv/d5XAxq70mdoAmVyGWqnj4t44wo4mIyLSsJMPzfv5Y2lz/6TJEn+jKdLx21unqN/Ri46jpGShEhISEhISEg+O5OlcuqdzlUY6i6Kol8lk04F9gAJYXprg/DTjpDFaWpgrzGiercOQc4Hg038SlJsLOh0DbpdLsnXDvV07vNq3wrJJE8xr1kTU6xFUKgSl8s4jf/sOcteuQ9GmDbdCztK0T//7Cs4ANo5ODJ45lz8+fJudi79g+Jz5KG57P4cd3kfshbP0GDeZel3689uCXWCqp1uLTjg5OgFQsH8/KW+/g8LeHu/Fi7Ht2aPC0cH/xGXyJNrVqknaBx+S8txEip4ZgdvMmQ+UCKsiFF28SNpH89FEReHo4kL6u3OQaTQ4jh79wG2amJjQv39/ZDIZp0+fRhRFevXqJQnPEpWGoaCAwgMH0MbGoktJQZeSii4lBX1mJogiCmdnvL9ZJAnOEhISEhUk/HgyqnwtvZ6v/8gEZwC/+s60G16TU5tucXZbDKbmCi7vj0erMVCntQctBwZi5ywlwnsQzK1MCWjkzM0L6bQbUROF4t4E0RISEhISEhISEg9HlXs6i6K4G9hd1ft5khE0GswVZpiZmGLIu4xcHoV1xw6YODmjcHbCzM+fNJ+azNtyk7wiLT82aU6nYFcAZGZmyM3MwNHxTnsWjRpRdOkSFxZ/jWBrRsNufcrdF4+awfR8YTp7l3zDsdXL6DbpRXJSkjiy8lf8Gjahef8hyORyhkzqyqGV19n3SwSOnnHUMo3GavUCrBo1wPd//8PE1bVSzo1Nx44E7dxB5g8/kLNiJYWHDuP+7jvYDRhwl2ArGgxoY2MpDruGLjERy6ZNsGrVqkIR1vrsbDK++pr8P//ExNMT7++/w6ZTJ5Jfe520Dz9CUKtxnjjxgY9FJpPRr18/ZDIZZ86cAXiswrNOpyMuLo7o6Gh8fHxo0KDBY+mHxIMjiiLqq1fJXb+Bgj17ENVqMDXF1NMTU09PrNu3x9TLC1MvL6zbtsHU3f1xd1lCQuIJJeZKJoJBpGZzt8fdlUeKVq3n0r54fOo44lXL8f4VKpnG3X3JTlZyaV88AAGNXGgzOAhnb5tH3pf/GrVbexB9KZPEiBwCGro87u5ISEhISEhISPzneOyJBCVAFOwwMzFFq9fh9+OrJYqQtsCWaa48t/w8k1eE8OWIRgxr5lNie3Jzczw/W8D+92fjYm6Fs49vieVKo37n7mTGx3Bx1zacfXwJPbQPEzNz+k57A9ltP2jvYEfGzW9D1NkUQn6/yHnBE8suX9JsaD187J0qfA7KQm5lhfvs2dgPGEDq+x+QMvst8rf+if3Qoagjr6MOu4b62jWEoqK76sksLLBu0wabLp2x6dQJUy+ve9oWBQFBpaJg504yvlmMUFyM8wsv4PLyS8itrADw+f47kme/RcbnXyCq1bi89NIDH4tMJqNv374Aj0V4zs7O5ubNm9y6dYu4uDj0ej0Acrkca2trAgMDH0k/JB4Og1JJwY4d5K7fgCYyEpmVFfaDBuEwciQW9ere+ZxKSEhIlEROioqEiGwadPbGxPT+K5KuHEzg1KZbyGRgZdf0sYivj4uwo0kUF+poPSjosexfJpPRZWwd7F0t8a7thGeNsnNjSJQfv/rOWFibEnUuTRKdJSQkJCQkJCSqgCr1dK4oT6uns06rwcLCCkEUSAgPBVG87T9ufG9c/ALu+CsXqHW8tPoip6OzeatPbaZ1qVlim4nhoWyYP4dGCem0+fQLbLt1q1CfBIOBzZ99QELYFQAGz3qPmi3b3FVGn5lJ0vRXKbp6Ff2kOdyS1yM1Oh8LG1Na9A2gQWdvFCaVK36JBgO56/4g85tvEFQqZKammNepg2XDBlg0bIRlwwaYenlRdOECymPHUR47hi4pCQDzWjVRODljKCxAyC/AUFiIUFh4x+zdqk0bPOa9h3mNGvfuV68nde5c8rdtx3nqVFzfmPFQQrEoiuzZs4fz58/Tpk0bevfuXSnCs16vJyUlhcLCwjuPgoICCgsLyc3NJT8/HwBnZ2dq1qxJrVq18PDwYMWKFahUKl544QWcnCp30kDi4RE0GtTXrlF06RLFly6jOncOsagI87p1cRw1ErsBA1DYSFFvFeXC7jhir2YS1NSVWi3csXORlqlL/PeJD89m36/X0KkNuPja0GdqA+xdrUosK4oiZ7fFcGlvPDWaupKdokKn1jPqvVZY2v73PYS1xXpWvXcaj0B7Bkxv/Li7I1EFHFt3g+unU5n8ZQfMLB9fLI4yV82VA4k4uFtSu40npuZVkyxbQkJCQkJCovKRPJ1L93SWROdqQG5qMs7exqjlr57pf892Szt7hr/7Ee5BRoFZqxeYvekq266ksHhUE4Y09b6nzq7vviL2cgi9crWQlU3Qju2YOJYcmVR4+DB5mzbj+tqrWNSpc+f1YmUhGz+ei1+DxnQZP+WuOurISBJfnoYhLw+vzz/HrncvAFJu5XFhVyyJ13Oxd7Wk3bCaBDZxqfRIXn1ODrqUVMyDaxntRUpBFEW0sbEojx5DdfIkglaDwtYOhZ0t8n88mwcFYt2pU5n9FAWBtA8/Im/DBhzHj8d9zrsPLTzv3buXc+fO0aJFC3r37o3pQ/jtqlQq1q5dS3Jy8p3XFAoFtra22NraYmdnh7+/PzVr1rxHWM7OzubXX3/Fzs6OKVOmYP4AiR8lKg/RYEB15iyqM6cpvnQZ9bVriDodAGYBAVi1aoXDiOFYNGwo+YI/IPmZRaz98Bzm1qYUF2gB8Aiyo1ZLd2o2d8fK7r8vqEk8fYQdTeLE+iicfWxo1NWXU5tuIorQ/bm6BDW52xZLEESOrbtBxIkU6nX0ovOY2mQnK9n8xUW8azsy4JVGj9Tf+HEQsiuW8ztieebdFrj52z3u7khUAWkx+Wz+8iLdJtSlbjvPR75/URAJP5HM6a3R6DUGRBHMrUyo39Gbhl18sHGUrsckJCQkJCSqO5LoLInO1RqdRo2ZhTHCLj7sCiBDJgNkMvQaDQeXLaG4sJDBs+bi37AJAHqDwJhfz3I9tZBdr3XA39n6TnvFhQX8/NIEGnbvQ/v2XYkd8Qy2Pbrj8803d+83LY30Tz+l8MBBkMuRW1ri/d232LRvf6eMKIr3iFqFBw+S/NbbKGxt8VnyA5b169+1XRRFEsJzOLX5FrmpKjxr2tPhmVr/iRs2URRJ/+wzcletxum5Cbi/++5Dt3fgwAFOnz6Nm5sbQ4cOxdOz4jc9+fn5rF69mry8PPr164e3tze2trZYWlqWW5SMiYlh9erVBAcHM2rUKOSSRcMjRxMTS/7WreRv24Y+IwOZqSkW9etj2bwZVs2aYdm0KSZSJHqlsO/Xa8SFZTFuflsMeoGbF9K5GZJOdrIKmQx86znRdVxd6YZf4j+BIIic2nST0MNJBDRyoefkephZmFCQVcy+X6+REV9I4x6+tB1aA4VCjkEncOC3CKIvZdCsjz9tBgfd+S25diyJY+uiaDesJk17+T3mIysdQRCJOp+GZw37UiO5y0Kt0rH6vTN4BzvQ7+VGVdBDieqAKIr8/v5ZbJwsGPJG00e675xUFUfXRJIanY9PHUe6PFuHonwNVw8lEnMlE5lMRo3mbjTp4fufuIaWkJCQkJD4ryKJzpLoXO0pa5AW5mSxZcEH5KYm03f6LGq37QBAcl4xfRcfJ9DFmo0vtcPstpXFxV1/cnTVUiZ8+T2u/oFk/fQzmYsX471oIXb9+hktKn5fS+bixYiCgMsr07Dr25ekaa+giYnBc/58HIYNvacfoiiSvXQpmYu+waJhQ3z+9z2mbqUnFBIMAhGnUjm/I4biQh3Brd1pO6TmEy/iiKJI+qcLyF2z5s45fRiKr1zhVmIS+25EUlRURNeuXWnfvn25Rd+srCxWr16NWq1mzJgxBAQEPHBfzp07x549e+jYsSPdu3d/4HYkyo+hsJCCPXvI37KV4itXQKHApmNH7IcOxaZL5wolw5QoH2mx+Wz+4iIt+gXc49OanaLkZkg6oUeSsHG0YNisZlhYP/gKBAmJx41WrefAsnDiwrJp3M2XdiNqIv9HhLJBJ3Bq003CjiXjEWRPtwl1OLE+isTrubQbXpOmPe8WlkVRZN+v14i9ksXQWc3wCKp+HsOiIHJ49XUiz6Qhl8uo38mbFv0CKrSC4dz2GC7sjmPUe61w8ZHsi/7LnN8ZS8iuWJ5b0A4bR4sq359BL3BpXzwX9sRhaqagwzO1qN3G464ggYKsYkKPJBFxKgWd2kCdNh50n1ivyvsmISEhISEhUXEk0VkSnas99xukaqWSrV/OJyXqOt0nvUST3kYbjr3XUnlpzSVe7BTE232CSYoI58Av32Npa8fYTxca29TriRv7LLr4eLy+/orMb79Dfe0a1h064PHB+5j5GhMNGgoLSXrtNYrOnMXl1em4TJt2p1+CVkvavPfJ37YNu3798FzwKXKL8l2Ya4v1XNwXz9WDidg6WzBqbktMzJ5srzpRpyN+/AQ0UVEEbN6E+QMk4BMNBrJ++omsH5aATIbLt4s5kpNDREQEvr6+DB069L7+yikpKaxZswaZTMa4ceMeKEr6rj6JIjt27ODSpUsMHz6chg0bPlR7EmVTePQoyW/ORCwqwqxGDRyGDcVu4MAyJ3MkHg5RFNm68BJ56UWM+7gtZhYle3gm38hlx/dXcfG1YfCMppK/psQTiTJXzc4fQslJUdFpVC0adC45ATHAzQvpHFkdiU5jQCaX0XVcnVLtBjRFOjYsCEEUYOTcltVqYkYURI78Hsn1U6k07emHVq0n4lQqJqZymvbyo3F331I/93+hVupYNfc0fvWd6TO1wSPqucTjIi+jiN/fP0vboTVo1tu/SveVn1nM7h+Nn8laLdzoMDK4zMkQbbGe01tuEX4ihTHvt8bJy7rUshISEhISEhKPB0l0lkTnak95BqlOo2bnt18Sc/E8bUeMoe2IsSCKfLh0F7Ehp2ghJKJT5mNibs7AN94hqGnLO3U1MTHEDh2GqNGgcHHBY8672Pbte4/1gqjVknpbXLYfPgzPDz/EUFBA0vRXKb58GZfXXsXl5ZcfyEc28XoO27+9QtOefrQbXnICxCcJXWoqsUOHYeLmRsCG9eUW4cGYhDF59lsUnT2L3cCBaKOj0cTG4rdyBbeAXbt2IQgCPXv2pFatWtjb298T+RwbG8u6deuwtLRkwoQJODs7V8px6fV6Vq1aRUpKCpMnT8bLy6tS2pW4m8LDR0h6/XUsgoPx+OB9yZ/5ERFzJZM9P4XReWxtGnS61w//32X3/hyGb10n+k1rVOmJUSUkqhKtWs+GT0MoKtTS+4UG+Ne//29EbpqKM1ujqdvei8BGLmWWTY8rYMtXF/Fv4Ezfl6rH95coiBxde4OIkym06BdAq4GByGQyctNUnP0zhpgrmVjamdFqQCB123uiUJT8mT6z9RaX9icwZp4k8j0tbP7yAlq1gdHzWlXpWN75w1VSb+bRc3J9Au7zGfuL4kItK949Rf32XnQaU7vK+iYh8TQiiiK5qUXkpRehzFOjzNWgzNWgytOgzNPg6G5F7xcaSMEHEhISZSKJzpLoXO0p7yAVDAb2//I94UcP4t+oKdlJCShzsjHITEi2DWDcmEE0adcO0xIE0ILduym+Fo7Li1NR2Je+HFYURbK+/x9ZS5Zg1aYNuoQE9Dk5eH3+GXZ9+jzUcR75PZLrJ1MYNrt5tVySW1GUJ06Q+MJU7EcMx+uTT8pVR3XmDMmz30JQKvGY9x72w4ZhyMoibsxYhKIiAtatpdjBgT///JPY2FjAmBDQ2dkZZ2dnXFxcMDc358iRIzg5OTF+/Hjs7CrX60+pVPLrr78iCAJTpkzBwcGhUtt/2ik8dIikGW9gUacOfsuWoqjk90+iZAwGgT/mn0cmg9HzWiEvRXD6JxGnUjiyOpJaLdzoObn+fz5xmsR/h2PrbnDteDJD3miKd3DJiYQflisHEzi16RYdR9WiUVffKtkHgE5j4Ni6G8hk0KirL65+tveUEUWRY+uiCD+eTPM+/rT+hw/1X6TF5HN6yy1Sb+Vj42ROvfZe1G3neZelQlGBltXvnSawsSu9ptT/924k/qOEHU3i+B9RjHqvJS4+946vyiDlZh5bF16izZAgmvcJqFDdg79FEHM1k4mft79vpL6EhMT9UeZqiDqfxo1zaeSkqO68LjeRYeNgjrWDOVa2ZsRcySSgkQt9Xmx4lzWVhISExD+RRGdJdK72VGSQiqLIyT9WcXX/bnzqNaB2244IPvUYtvQirQKdWDmpVaX8KOZt2kTqBx9i4uyMzw8/YNnw4ZeYaov1rJt/DlNzBSPntsTE9MmfNc5YvJjsn37G87PPcBg6pNRyosFA1g9LyPrxR8yCgvD+ZhEWwcF3tmtiY4kfMxa5rS0B69Yid3IiKSmJzMxMsrKyyM7OJjs7m5ycHERRxNvbm2effRYrq4onSCoPaWlprFixAktLSyZNmlTpwvbTSsGBAyS/8SYW9evht3QpCtuqubmVuJe/EqD1e7khgY1dy13v0r54zmyNpmFnbzqODq4WEZ0SEmWRGJHD9u+u0LiHLx1G1Kqy/YiiyO4loSSE5xDcyp36nb1xD7Ar8zOizNVw62I6gkGkUVef+9ptFRVo2fXDVTITClGYytFrBbxqOdC4uy8BjVyQy2WIosjxP6K4diyZZr39aDOkRql9EEWR+LBsQo8kkng9F5kM/Bo4U7+DF/4NnDm9JZrQw4mM/bANDu5V8/sqUf1QK3X89vZJXHxsaD04CN+6TpX6XS+KIlu+ukhhtppnP26LaQVt5v7KRdBpdDANu5RukyMhIVE6WrWemCuZ3DibRtKNXBDBI8iO4FYeeATZY+NojoWN6V2f/dAjSZxYH0Xj7r50eKbqfk8lJCSebCTRWRKdqz2VMUjXnI3nvT+vMadfHaZ2qlEp/dLcvInCxQUTx8qLkkqIyGbHd1dp1tuPtkOffJsNUa8nYfIUikNDCdiw/i4hGUBQq1EePUrOqtUUX7qE/ZAheLw/D3kJYnHx1avEPzcR85o18V+5Arn1vct6DQYD+fn52Nvbo1BUrWiflJTEqlWrsLOzY9KkSViX0J+nAVEUMWRloUtJQZecjCiK2PXpg6yC579g336SZ87Esn59fJf+KgnOjxCtWs+aeWdw9LBmyJtNKyQmiKLI6c23uHIwkZYDAmk1oOIe7hISjwpNsZ4//prcnVP1ORQ0RTrO/hnDjXNp6DQGXP1sadDJm1ot3e8sR1ardMRcziQqJI3kqDy4fanj6GFFz8n1S4xcBqPdx87/XaWoQEuv5xvgVdOeiFOphB5JRJmjwc7FgkZdfcnPKCLsWDJNe/rRdljpgvO/yc8s5vqpFK6fSaUoX4u1vRlqlZ5aLd3o/pyUtO1p48bZVM78GYMqT4Orny3NevsT1NS1UgI5Yq9msvvHMLo8W5v6Hcu2dioJURTZ+NkFDHqhyi1AJCT+i6TeymP791fRawzYuVhQu7UHwa09cHC7/+TiifVRhB5JkiZ9JCQkSkUSnSXRudpTGYNUFEVeXnOJg9fT2TKtHY18HCqpd5XPkdXXuX46lWFvNccj8Mm32dBlZBA7bDgKOzsCN25AZmFB0fnz5O/YSeH+/QhKJSaurri+8QYOw4aW2VbhkSMkvTId6/bt8V3yAzLTx5ugKS4ujjVr1uDs7MzEiROxtLR8rP15VBTs30/eho3okpPRpaQgajR3bXd4ZgQe8+eX+8avYO9ekmfOwrJRI3x//QWFjU1VdFuiFM5tj+HC7jhGvN0C98CKR+2LosjhldeJPJtGcCt3/Oo54RXsiK1T+b3cJSQeBYdWRnDjXDrDZzd/oLH+oGjVeqLOpRF2LJmcFBVmlibUbuWOMk9DfHg2gl7Ewd2K4Fbu1GrhTmG2mkMrIygu1NFyQCDNevvdZXmTeiuPXT+GIpfL6P9KY9wD/j4WwSAQezWLq4cTSb2VD0DjHr60H17zgcQ4wSAQF5ZNxKkUMhMKGT67OXYuT8dvncTdGHQCN86ncWlfPPkZxTi4W9G0lx+1W3s8sK+/IIis/+Q8gkFkzPvls3YqieunUzi8KpIhb1adZU51Qq3UEX05g5grWTh6WtGsl3+ZSRclJMriz28uk5emovcLDfCoYV+h3wpBENnzUxjxYVn0m9aIgIbl82OXkJB4epBEZ0l0rvZU1iDNL9LR45tj+DlZsemlttU2EuKuSKxKsNkQRZGCrGJSb+VTmKOmQSdvLG0f7YWp6uw5EiZPxqJ+ffTp6egzMpBbW2Pbqxf2Awdg1bp1uSNjczdsIO39D7AfMgTPzxaU+308EpnB+bgc3updu1Lf+1u3brFu3To8PDwYPmgUR1ffxL+BM017+f8n/c30WVnc6tUbE0dHLBo0wNTbG1MvL0y9vTD19qZg126yf/4Zp8mTcZs9677nOn/bNlLmzMWycWN8f/kFhc3TGTH+uFDmavj9/TMENHah9/MPbhMkGAROrL/JzQvpaIr0ANi5WOAV7Ih3LQd86jhh42heWd2WkKgwf0VTtugXQOtBQY+lD6Iokhqdz7VjyURfysDCxpRaLdwJbuWOq5/tXd+XapWO4+tucPNCBh5BdnSfWA8HNytuXczg4G8R2DiZM/DVxti7lh6JlhFfQF56EbVaulfbax6JJw9BEIm5nMnFvXFkJSqxc7Wk38sNcfaq+ITx9dOpHF51nd4vNKBmc7cH7pNOa2DlO6fwqeNEn6kPb3lXHdGq9cSFZnEzJJ2E8BwEQcTOxYLCHA0KhYyGXXxo2svvkV/jSzzZZCYUsmFBCG2H1aBZL/8HakOr1rN14SXyM4oZNrtZlXm/S0hIPJlIorMkOld7KnOQrj2XwJytYfwyvjm96ns8dHtVRXx4Nju/v0qz3v60HVoxOxBBEMlOUpJyK4/UW3mk3sqnqEB7Z7uNozl9pjZ8pFFeAFm//Erm999j06kT9gMHYNOlC/ISkjqWh8zv/0fWDz/gOGE87u++e8/NtFqlIz+jmPzMIvIzi0lOLOTitQzMBXCxMcfOyhSZXIZMLkMul2FiJqdOW0/qtPF4oCibyMhI1q9fjyWOWKfXA0GOR5A93SfWLdfStCeJtPkfk7t+PUE7d2AeeK+VgiiKpH/8Cblr1+I6YwYuL71YYjuiTkf6V1+Ru2o1Vq1a4bNkiSQ4P2JEUeTwqutEnU9n7IdtsHd9+OhFURDJTlGSfCOP5KhcUm7loVHpkcll1G3nSYt+AVIEtMQjR63UsXb+OazszHjmnRYPHJVZmei0BhQm8vtOTkaFpHF8XRQGg0jN5m5EnknFI9COftMaYWkjiUsSjw9RFEkIz+Hw6uvoNQZ6v9AAv/rO5a6v1xn4/f2zWNmZMeKdFg89MXJq001CDycxYUE7rB3+G5OcoiCSGJlD5Jk0Yq9motcK2DiaU6uFO7VauuPia0N+RjEhu2O5eT4dhZmCRl19aNrDDwubx7saUOLJYP+ycOLCsnjus/aYWz54Ik5lroZNX1xAJoMRb7f4z3wGJSQkHh5JdJZE52pPZQ5SvUGg1+LjyGUy9r7eEZMHXMb3KDi86jqRZ1IZ/naLu5bOloZgELhxLp0Le+IoyCwGwNbJAs+a9njWdMCzpj0GncDen6+hKtDQaVQw9Tp4PdBFvlYvsOVSEn0aeOBgVf6bXlGvR2by8JnFRVEkfcFn5K5ejfPUqbi+MQOZTIZapWPb4stkJSr/LiyDYhPIkQlgoUCtM9A12A0TmQxBEBFFEWWOmuxkFY4eVrQZXIPAJi4V87UVRH7/bg+3cs/j5e5Lx6Z9OLUxGoNeoP2IWtTv+GDnubqhTUggul9/HIYPx/OjD0stJwoCKe+8Q8H2HXh88D6OY8bctV2flUXyjDcounDBOHEwe/Zjt0p52ki5lcfZrdGkRufTpKcf7YdXjYf8XyJ0xIkUwk+mIJPJaNDJm2Z9pKXAEpWHWqUjJ0WFq79tiUnI9i29RszlTJ55tyUuPk+efY8yV82hlddJiswlqKkrPSfVq3I/agmJ8lKYo2bXklByUlR0GlWLBp3L5+t65WACpzbdYvCMJvjUcXrofuRnFrHm/bO07BdAq4GPZzVDZVGYoybyTCrXT6VSmKPG3NqEms3dCW7pjmcNe2QlTFblpKq4sCuWmxczMDVX0Ky3P837+P8nrj8lqoaC7GLWzDtL424+tK+ExLqZiYVs+foSDm6WDJvdvMJJQSUkJP6bSKKzJDpXeyp7kO69lsZLay7yxfCGjGrpVyltVgWaIh3r5p/HxFROsz7++NVzLnF5+r/FZhdfGxp398W7FE9VtVLHgeXhJETkUKedJ51HB1f45vXjnREsOxlLYx97fn+hDTbmDy8kVxRRFEl7/wPyNm7E9fXXcHrxJXb+7yrJN3JpNTAQJ09r7F2tWHYlgR+Ox/DD2GYEuVoz4PuTjGjmwxcjGt3VVsyVTM7+GUNeehHugXa0HVqj3L6AZ7dFc3FPPD4dRS7fPEGNGjXo33swJ9dFk3g9F7/6TnQbX/eJn/VPnjmLwkOHqLFvH6buZS+DFXU6kl57HeXRo3h9+SX2AwcAUHzlCkmvvY6hoADPj+djP3Dgo+i6xG2ykpSc2xZNXFg2VvZmtOwfSL32ng/so1kRCrKKCdkVy42zaSjMFDTu5kPTnn6YW1XthEN2spKiAi2+dR9e1JCofhh0Alu+vkhGfCFyhQz3ADu8ajngFeyAR5A98dey2b80nDZDgmjeJ+Bxd/eBEQWRzMRCXHxt/5PWTRJPNlq1nv3LwokPy6bRbQGrrHGqKdaz+r3TuPnbMei1JpXWjx3fXyUrqZAJC9qhqMaBJSVh0AvEhWYRcSqFhIgcEMG3riN123sR1NgVhWn5jic7Wcm57THEXs2ibntPujxbR/rOkCiRkxtvEnYkiXGftK20VWhxoVnsWhJK60FBtOgXUCltSkhIPNlIorMkOld7KnuQiqLIsB9Pk5JXzNFZXbF8gFlYgyDywqoLNPNzYHq3h58ZLo2kG7kcXB6OKt9oj+HsbY1fPWf86jvhHmjPrYsZd4nNrQYEEtDo/lG6giASsiuWC7vicPG1oe+LDcudGOjQ9XSmrLxA+5rOnI3JoU2QE8sntsTc5NHPZouCQOq775K/bTspYxYQmWpP13F1qNfBC4CzMdmM+fUsI5r58NUzjQH4bPd1fj4ew4YX29Iq8G4RSjAIRJ5J4/zOWFR5GvzqO9FmcA1c/Ur3JrtxLo2Dv0VQr70nXcbV4crFi2zftQsfHx/GjB5DdEgOpzffQmEqp8uzdR7Ks/Bxoo6IIHbYcJxffBG3N2aUq46g0ZD4wlSKLl7E53/fo0/PIO3TTzH18MDn+++wqFPngfoiiqIUuVNBCrKKObcjhqjz6ZhbmtCstz8Nu/o8liiU3DQV53fEcutiBuZWJvScXB//BuVfkl0R9DoDaz84R2Gumj4vNKBGsyfz8ydROsfX3SDsWDJthgShUelJvplHZkIhoiAaLZQUMpy9bRg+u9kjmVyRkHhaEQSR05tucfVwIv4Nnek1pT5mFiUHJfw1WT9yTssyr7EqSlxYFrt+CH1oj+hHjTJXw64lV8lKVGLjaE6ddp7Ubev5wEk7RVHk/I5YLuyOo1YLN7pPqlfpInxBVjFnt8XgVdOeuu297mtbJIoiCRE5JF3PoX4n70dmPycYBLJTVKTH5JMWW4Bea6DbhLqljs2nBU2RjpXvniawiQs9J9Wv1LZ3LQkl5WYe4z9pi4W1tJJRQuJpRxKdJdG52lMVg/RcTDajfjnLW31qM61LxZeVb76YxMyNVwFYOqEFPeq5V1rf/o0oimQnq0gIzyYhIpvUW/kIBhFkgEiFxOZ/ExeaxcEVEQC0H1GT4FZlZyBPzS+m77cn8LK3ZMu0duwOS+XNDVfpU9+D/41t+ljsSkS9nnNvfMNFXXNqehbR+wNjRG1+kY4+3x7HwlTBzlc7YH07GrtIq6fnouNYmSnY9VpHzEo4Xr3WQOjRJC7tjUdTpMe/oTMt+gbgEWR/V7m0mHy2LrqEZ5A9Pftak79yBfm7dlHw4ovsz83BxcWF8ePHo1fJOfBbBBlxBTTt5UebITWeuKiThOdfQB0WRo2DB1DYlv8G0aBUkTBxIuqICBAErDt1xPurr1DY29+3bnaykpxUFYXZagqy1RRmF1OQpUaZo8arlgPdnquLtf2THT3+KEiIyGbXD6HI5TIadfOlaS+/anETkJlYyOFV18lJVdHvpUZVIjxf2hfPma3R2LtaoszVMGhGE7xqOlT6fiQeD1EhaRxYFnGPRYxWrSctJp+UqDyyU1S0H14TB/f/lr++hER15dqxJI6vv4mTpxV123lh52qJnYsFdi6WmJopUOVrWDPvDIGNXOj1EAlsS0IQRH5//ww2jhYMndmsUtuuKrKSCtn5v1C0xXq6jq9DjWZulXaN+NdvYEAjF3q/UP+hk5P/RfSlDA6vjkSnMSDeTmjYamAQtVq6l9j3pMgczm2PJS0mHwATUzlthtSgYVef+x5rcaGW1Fv5KPM0qPLUxudcDco8DcWFOswtTbCyN8PS1gwrezOsbM2wsjNDmachPSaf9PhC9BoDAJa2pqiVOmo2d6PnlPpPdQDDX2Nj1HstKz3xX3aykj8+OU+zXn60HVo19m0SEhJPDpLoLInO1Z6qGqRTVoRwPi6H47O74mhdfm9RrV6g28Kj2FuaIpNBYk4xu1/viLfDwyfhKtf+1XqSo/JIvZmHRw17AhtXXGz+J/mZxexfeo2M+EKsHcxp1M2H+h2970kmoTcIjP31HNdS8tn5ageCXI2+mMtPxjJ/ZwSjWvjy+fCGj/wCLjOhkC1fXcROl06jYx/j/clH2A8bxvS1l9kXnsbml9vR2Nfhrjp/RWvP7l2bV7qWfjGkKdYTdiSJq4cSUat0+NRxpGX/ALxqOVKQXcymzy9gItPTLn8LumMHkVlaYurthTY+Adn/vmfzyZPY2toyYcIEbG3sOLHhJuHHk/Gr50TPKfWrRPjTaDSYmZlV6vugOnuWhImTcHvrLZwnT6pwfX1uLikzZ2HZrBkuL7+ETHH/m56IUykcWR15538La1NsnS2wc7HA0saMyDOpmFoo6Dm5vmSbUAaiILJ+QQh6jYGhM5tVO4sXtUrH9m+vkJ2ipO+LDQlo6FJpbRcrtax57wyetRzo8Vw9Nn91keJCLcNmN8fJU0pa+aSTk6pi4+cXcPW1YfAbTZ+4pfQSEv9lEsKzObjyOsX/SGQNYGVvhsJEjipXw5gPW1dJtOul/fGc2RLN6HmtcPau3h7ucWFZ7F8ajrmVCf1faVwlnvNhR5M4/kcUPnUc6ftSw4eK8NXrDJzaeItrx5Nx87el1/MNyEsv4uy2aLISlTh5WdN6UNCde5OUW3mc3x5DclQe1g7mtOgXgF89J47/EUX8tWw8a9jTbULdEicFs1OUhB5K5Ma5dAx6AQC5Qoa1gzk2DuZYO5pjaWOGtlhPUYGGogItRQVaipU6EEEml+HiY4NHkD0eQXZ4BNlj62zBpX3xnP0zhg4ja9G4m+8Dn4snGYNOYNV7p3H2smbQ602rZB8HlocTczmTcZ+0lQJEJCSeciTRWRKdqz1VNUhvpBXS99vjTOkQyNz+9cpdb9WZON7fFs7Kya3wd7JiwPcnCXa3Yf2Lbfk/e/cdHsV5LX78u+q9915QB4kiRO+9YxtMN2Bs4xI7PTf5pSf3Jrm5iVPcMQZM772Z3oUEaqAuIVRQ7ytt3535/UFQTBCgChKaz/PsA2h3Zt4VI+07Z857jmkvveh9sOQt5VQxpTn1mFoYEzXai+iJvi01vj48lcM/z+Xz4asxvDz44SYxD557a2wQP5sR/swCz6omLbv/eANEeOUH0dT91/dQxMdTvvgN3lT044czIx+byf72liTO51Rx+vvj8HN+8kWPVq0n41IZKWeKUcm1ePazR1nZgKJRy5Cb/4udhQ7H5cvuN8wTRQrmzMXE1RXTv33Itl27MDU15bXXXsPV1ZWMy6Vc2pmLjZMFM98ZgLNX11xgqNVqTp06RXJyMs7OzkRFRREVFYWbm1un/j9EUaTw1UXoa2oIPnkCI/PunzjWljaz9083cQ+yZ8yrIdg6WWD2HzdBasuaObU+g7pyBUOm+xM3O1BaOt+KgtRqTnx+m8mrIggb7vm8h9Oq7go8X9qZS/qlUhb/Mg4nT2vkNSr2/jkJYxMZC34idVbvzbRqPXv/dBO1Qsein8dJ/5cSSQ8kiiJqhY7GahXyGhXyajWNNSrk1Sr8+zszeJp/txxX1azl659eI2KkJ+OWhnXLMR5obGxEp9Ph4tL+z63bF+5xeVcuzj42zH4vplt/j2XHl3NucxbugfbM/k50h3op1Fco+ObLDGpLmxk4xY/h84JaVkeKgkh+chWJR+7SUKnELcAOcysTSjLrsLQzY8h0f6LGeLVkWouiSE5CBVd256HXCQybG0TMJN/7yTxZdaSdKaE4sw4TUyPCRngSPsIDO2dLLG1MW22i+G2CQUDVrMPM0qTVEmKiIHLii9sU3a5l/g8G4dlLVz8JBgFFo7ZDtZizrt0/H+Z8EINfZPeUN2usVrL91wlEjvFi3JLu/TmUSCQ9mxR0loLOPV53nqQ/3pPGodQyzv1oHD6OT8+2UGr1jP3zBYJcrdn11nBkMhlHb5Xxne0prB0XxM9mRHT5GJ+16uImUk4Xk59UhQwIG+6BySBHVm5P4pXBPvzlX7WRv00URX59OIPN8UUdLlnSXgaDwJF/plJRIOflHw3Gzd8OQaUi7zvfRbh6mRpHD6L/8GvsJ4xvdfvyRhWT/3qR2AAnNq0e2qbArF5rIONKGTf33kZjMGVwxV7ClkzEfv48jCz+PelrOneOe+++h/PatYhLl7BlyxYEQWD58uV4eXlRnt/AiXXp6DUGJq+KJGiQa5vfd21ZM+kXStFq9ExYHo6JqTH5+fkcPnyYpqYmBg0aRH19PYWFhYiiiIuLy0MB6PaSn/yG0u99D8//+R8cXnm53du3l05jYM8fb6BW6ln8izis7B6/CkGnNXBlVy6ZV8vx7GfP1DVR2Dh2TSOUF4Eoiuz+ww10agNLfzOsRwfluzrwXF+hYOfvEokY7cX4bwUdqoubOPDXZOxcLXn5h4MfuZkh6flEUeTMxkzyblQy57sD8Q2XVjpIJJKHnd2UyZ2Ual77w8huKyeVkZHBgQMH0Ov1eHl5ERMTQ//+/bG2fvJKGkEQubYvn7SzJQQMcGbKE2pfd6X8pCpOb8jA0dOa0KHuWFibYm5lgrm1KRbWJphbmWJianR/PiwDmYyWvxekVHNxRw4mZsZMWhnx2M9owSCQfb2CG0fvotcJDJ7qT//x3o/tH6Fo0HBhew6Ft2pw87dFrxOoK1NgZWfGgPE+RI31wtKm7atR20qj0rPnDzfQaQ28+v+G9spM3Es7cki/VMrUN9pXv1wURXb+PhGZTMaiX7Tt+qejLmzPIetKGUt/Oxx712ezIlgikfQ8UtBZCjr3eN15kpY1qBj/lwvMjvbkw1cHPvX1n17I588nc9j79ghiA/59ofvzA7fZllDMxlVDmRDeexqXPIm8RkXa2RJuXyylWSaQ4m7EVz8dg5VZ6xNjQRD53q5UDqeV8fa4YJbG+T01gxiguV5N3o0qPEPs8Qh8ep3fBy7vzuXWuXsPZXBq9QILP7uK0+0b/PTuNwglxViPGYP7T/8L8+DgR/bxoDTIx0sHMTvaq03HrfliHZV//wjrVWvx/9E7jy0VUfaz/0fjoUMEbN+G0teXLVu2oFAoWLhwIaGhoTTXazjxxW2qCuUMnu5P+HAPHNysWs3gEASRwls13Dp/j9KceoxNjDDoBfxi7DF4lpCamoqLiwvz58/Hx+d+FnpzczNZWVlkZGRQWFgIgKura0sA2tXVFV1pKY1HjqIpuIP1iJHYjB+HiaNjy3FFvZ6C2XPAxJigQ4faVBajs85uyiQ7oYK57Qgm5SZWcGFbDsYmRoxfHkZQjOtTM2H6ggdZzpNWRhA+omdmOX9bVwaej392i3s59Sz/3YhHblwUZ9Zy7ONbeIU6MPs7MU9tfiTpWdIvlXJxew7D5gYROzPgeQ9HIpH0QDX3mtjzh5v4Rjkx653oLp0TiKLIpUuXOH/+PL6+vkRERHDr1i0qKiowMjIiJCSEfv7hNOSaIBP/NW+S/fuPxhoV5fmNDJjgw+iFIc+0x0dRei2nN2SgUerbva13qAOTV0dh4/j0AK0o3L9ma8v3XRRF8m5UcmVvPla2Zgyc7EtIrDvGpt372Vxzr5l9/3sTtwA75n5vYK8q0dRQqWT7bxMwNpYhGERmvD2AgOi2zZmK0ms5+nHaM1kBp2i4X789aLBrlzcrlEgkvYcUdJaCzj1ed5+kfzyexbrLBRz/YAwRnnaPfV2jSseY/z1HbIATG1YNfeg5tc7AS59eo6Lxfn1nT/sX426uIIi8+8l1vLIVOBuM6D/Wm5Gv9MPUvPXgo84g8P1dqRy9VQ7AYD8H5g30Zla0Jy42D09S6ysUpJwqJieh4n5jRCBsmAcjXgp+4hLD6pImbh4rpCC1mphJvoxeGNLy3G+PZLDxaiGfLx/MtFBn6rZtp+bTTxGUShyXLMH1O+9h7ODQ8nqDIDLvkytUyjUcfX807nZPzpKVHz9O6Q9+iN3s2Xj935+fmB1gaGqiYN48jMzMCTywH4Vez/bt26moqGDGjBnExcWh1xm4uD2H7PgKAEzNjXHxtcHVzxY3P1sM5gpK8qopvtWAql7Axs6KAWP86D/Wl4vHb5B4+yKCsY7Ro0cxbtw4TE1bz+ZpampqCUAXFRUB4KjR4JOTg6XCHo1dJCEZWzFGj+XgQdhOmIjtpIkoEhKp+PWv8fn0E2wnTnzi96YrZMeXc/brLGJnBTBsTlC7tm2oVPLN+nRqSpqxsjej32A3+sW64xFo1ycD0A+ynLVqA8t6eJbzt6kVOo78M5Wa0mamvzWAwDZeRH1baW49Bz9MYdi8IGJnBLT6mgfnWmicO5NWRfa6xp59VVWRnH3/l4RPmBOz3+vaQJJEInmxPKhlPGSGP8PnPZp40BE6nY5Dhw6Rnp5OdHQ0c+bMaZl7VVZWkpaWxq1bt2hubsbIYIa3GIup+K8yav+6jJEZQcwkP6In+DzmKN1LFEV0GgMapR6NUodacf9PjUKPXicAIqLw79eK4v0GfKFxHi/cZ2VOQgVnNmYycLIvoxaEtPqa5no1MiNZj8qGPrnuNkUZdSz6f0M5vSGDmtJmZr8bg2/k05M1Dv4thYZKJSv+e8Qzuel+bX8+KaeLWfyLnl9jXSKRdA8p6CwFnXu87j5JG5Raxv75PGEetny1aih2Fq0H7v7vm2w+OX+H4x+MIdLr0eB0QXUzcz66QqSXHTveHI5JLwnyPMk/z+bx4elcfj87ksAKPWlnS7BzsWTyqkg8gx+flXyvXsmRtHIOpZaSXdGEsZGM0f1ceGWID3F21qSeKuZOajXGJkZEjvIiaqwXeYmVpJ4pQWYsY8h0fwZO9n2oy/a3g81mFsbETPYjdoZ/SzDtxO1y3tmWzOpRAfx6zr/vpuvr6qj+xz9p2LMHE2dn/DZ/jXlgYMvzt+818srn1zA1kvHBpBBWjwrErJVJmDI5heJVq7AYMAC/jRswMnv6cr8HDfgcV6zA4+f/D41Gw759+8jNzWXEiBFMmTIFmUxGXbmCqsImqoubqC6WU15WidziDlqLulb3a2Jigl6vx8bCAZN7gYyYNuCJQVpRFFFcuUrjgf1UXb1GsZsb90JCqLa7363aRGeNu5Un4y1rML50EU32vxr4GRtjGROD/7at3V6nu65MwZ4/3cA9wI653xvUoQsbg06gILWa/KQqitJrMegFbBzNCR7sRr9YN9wD7PpMp/K7adUc/+w2E1+LIGJkz89y/jaN8n7Gc3VJM+OXhRE5qm2rEOB+dtWeP91E1aRl2W+HY/KYJb0AN08UknCoAPdAOya+FiE1F+zBDDqBzKtl3Dh2F2MTIxb9PA4Lm+5ZMi+RSF4Moihyfms2WVfLmfZm+0oQtKapqYmdO3dSWlrKpEmTGD16dKtzisrCRrZ/eBq1+x3MLU1Zs2YN9vZtX8knebYu7cjh9sXSlnNE0aihNLee0ux67uU2IK9WIZOBX39nokZ74d/f+bneyK+428i+/01i6KwA4uYEoVboOPhhCo1VSuZ8EINXiONjt60ubmL3H24w4uVgBk/tnprq/0ndrGPLL67hHebIzHein8kxJRJJzyIFnaWgc4/3LE7S/cn3+PHeW/g7WfH5iiGEuts+9HxVk5pxf77A5Eh3Plry+C6/h1JL+e7OVFaNDOCHU0OxfUwAuzfYm3SPH+1J46VB3nz4agwymYzSnHrOfp1Fc72aQdP8iZsT+NTlaNkVcg6llnH2RhkxlQYC9MaYWBgTM8GH6Am+Dy19b6xWcW1/PgUp1dg6WzBqQT/snC25cewud9NqMLM0IWaiD9ETfR+q0VdUq2D2P68Q5GbDnrUjWg0aq9IzKHnrLWSmpvhv3YKZ7787VhfWKPjvY5mcyaoiyMWaX82JZHzYvy9OtMXFFC5ajLGdHf47dzxUguJpKv77f6jfuhW/TRuxHj4cQRA4efIkiYmJRERE8NJLL2H2rwB2U1MTFy5cIDk5GVMTUyKCBhEcEoC5rRFqtRq1Wo1Go0GtVmNra8vQoUO5tD2PrGvljF0cyoDxD2fNiFotjceOU7dhA5q8PIwdHLCbORPZ+FlcuKynsrQW14F6qppKqG+qAsDT05MIX198K6swTU7G5d13sIjo3lrlOq2Bvf8KFC76RVyXZJNoVXru3qohP6mK4sxaBL1I7MwAhs1tXwb1f1IrdJRk1uEV6tCjsl6+TRRF9vzxJhqVvldlOX+bVq3nm3XpFGfWMXRWAENnB7bphsGDrKXJqyMJG+bxxNc+WNJ7aVcueo3A0NkBDJri1yu/Xy8qg04g61oZSSeLaK7X4NnPnnFLwqRsKYlE0iYGncDBvyVTc6+ZV34Si4tPx353VFRUsH37dlQqFS+99BKRkY9vQH7ii9vcy65n2veC2bZ9M7a2trz++utYWT295Jzk2TPoBQ78NZnaMgW2jubUVygBMLM0wSvEAZ8wR1TNWrKulaNs1GJtb0b4SE8iR3lh5/JsV7aKosjBD1Oor1Cw/PcjWmqBK+VaDn6YTHO9hrnfG/hIuUK1Qkd+UhW3L9yjqU7Nyj+OwvwZ9rS4efwuCYfv8spPhuARJN2AkUj6GinoLAWde7xndZImFNTy3vYUFBo9/7sgmrkx/86u+83hDLZcL+LMD8YR6PLkbLhfHLzN1uvFmJkYMSHMldnRXkyKcHtsLeSe6GJuNWs23WBYkBMbV8U9FMTVqvRc2XM/0DlgnDdj29CRWKvWs/d/b9JQq+aauY40Uz3vTw9lzeggjFvJaC3JruPK7jzqyhTA/YlfzCRfYib6PNJxW60z8Mpn17hXr+LYB6Of2BBSnZND8WsrMbK2xn/LZky9vR96/nxOFb87ksndGgWTI9z55ewIfIx1FC5egqGhgYCdOzALCHjq+/02QaXi7vyXEHRagg4dwtj2/g2N69evc/LkSby9vVmwYAG3bt3iypUrGAwGYmNjGTdu3FOb0cD9pi0nvkin8HYNU9dEERLrjqGpiYbdu6nbvAV9ZSXmISE4vf469rNmcjejkbObs5DJYNKqSAKjXRBFkZNfJ5N+KwNz32bqGu8HoL29vZk3b16HGhC2x7nNWWTFlzP3/YFtWhrYXhqVniu7csm+XtGmYGRr299Nqyb/ZhUlWXUIBhHfSCfmvB/TIzOn796q4fint5j4WjgRI9ueJdzTGAwCF7blkH2tnIiRnoxbFvbEm1x6rYFtv76Opa0ZC38a2+bSC0q5lks7criTUo2rny2TVkZIQc3nzKAXyLpWTtKJQprrNXgE2RM3JxCfcMce+TMnkUh6LkWjhj1/uIGxqRELfzq03askqqur+fLLLzE3N2fJkiV4eT3+c7W2rJmdv0tsucldWFjIli1b8PDwYOXKlS1JBp0ll8tJSkoiJSUFKysr+vfvT1RUFI7tSIqQ/FtzvZpjn97Cys4c77D7gWYXX9uHVt0JBoHC27VkXimjKKMWAO9QR9wDbHH0tMbJ0xoHd6tubQpZeLuGY5/cajXRRNGgYf9fk9EodMz73iAcPKwovFVDbmIlxRm1CAYRRw8r4uYEdTrrv720aj1bfxmPk5cN87//+OQtiUTyYpKCzlLQucd7lidppVzNe9uSuVlUz+ujAvnZzHAqGtVM/OsFFgzx4Y8vP31ZkCiKJBfXcyStnOO3y6lq0mBhasSkcHdmR3syNcqj1UBrT3H7XiOL1sXj72zN7rXDH5utfXVvHqlnSp4a2BJFkdMbMsm/Wcmc7w7EzMuKnx9I50xWJTE+9vx5QQxhHraPbCcYBLLjK1ArdUSN9nok2PzAgyaOX62MZVKE+1Pfnyojg+JVqzF2cMB/6xZM3R/eRqsX2HD1Lh+dzUPU6lh3exPOxXn4b9qI1ZAhT91/q8dMTaVw6TLspk/D689/RmZyf0KalZXFvn370OvvN3SJiIhg8uTJODs7t2v/eq2Bw/9MpfKunFFuOZgfXo+gUGA1fDjOa17HevRoBINI/IE7pJ0twc3flmlv9n8oQ8NgEDjyzzTK8xuY8GYQtYp7XL16FUdHR9asWYORUfdkf+YmVnB6Q2aX1lxsjUEvcPgfqVTcbWT+9wc/sTwM3P9+FKRUk3ejkuKMuvulOpzM6Tfk/vmSerqYWe9Gt7lxy7PSkuWs1LH0t8N7VWOc1oiiSOLRu9w8VohflBPT3uz/2Au6pJOFXD9YwPzvD8I7rP0X3vlJVVzamYNGqSd2ZgABA1xorlfTXK+huUFDc70aRb0GCxszpq6JlDKiu0lZXgNnNmbSVKfGPdCOuDmB+EY4ScFmiUTSYRV3Gznw12S8+jkw5/2YVn9/Kxo06DQGHNz/nbwgCAKbNm2iqqqKd95556llMk59lUHhrRpe+5+RLcHtrKwsdu/eTXBwMEuWLMG4g02ZRVGkpKSExMREMjMzEQSB4OBg1Go1paWlAPj4+LQ0jLaze3yfGknnNNWpybpaxp2UahoqlS29aQBsnSxw9LTG1c8Gj0B73IPssLTp/M0GQRDZ9d+J6HUCS389rNV6zPJaFQf+moxWZbhfu1ttwNrejJCh7oTGeeDia/PcPkvTzpZwZU8eI1/uh6Pn/eC8qYUxZhYmmFkaY25pIs2rJJIXlBR0loLOPd6zPkm1eoE/HM9i07VChgY44mRtxvmcai7+eHy7GwQKgsiNwjqO3irnRHo5Nc1aJke48c8lg3pk5nNJnZKXPr2GuYkR+98d+cTGeoJB4MhHaZTnN/LSjwbjHtD65PZBI5dvN/USRZGjt8r5zeEM5God703ox9I4P1xtzds1GXpQzmTtuCB+NqPtJSBUaWkUv74GE1dX/LdsxsTV9aHnRa2We6cvkP3Jl/gUpPPJqJWMfGspr8b6dLhWd82XX1L91w+xnTIZr7/8BSPz+6UZSktLSUhIIDY2Fj8/vw7tG0AlV7HnJydRGCyxMVEjc3AEEzMEQUQwiOi195vGDJjgw6iX+7XaFVyt0LH3f2+iUepZ8F+xFJblcuDAAebOncvgwYM7PLbHUcq1bP/tdRzdrXnph4O6fbKpbr7//rTq++/vccsi5bUqTn+VQUWBHGt7M4KHuBES64574P2a0AaDwK7fJyIIIkt+1frE/3l5kAUzYUV4u2oh93SZV8q4sD0HFx8bZr0XjZGxjJqSZmpKmqkuaaLmXjMNFQr8B7gw692O1wxUNWu5vCuPvBuVD33dyFiGtYM5ljamVBU1MfKVfgya0vGfV0nrsq6Vc2FbNnYuloxeGIJflBRslkgkXSPrWhnnNmcTM9mXUa/0Q16joiyv4f4jvxF5tQoA90A7+o/1pt8QN26lp3H48OE2zYMaKpVs/811Bk7xY+TL/R56LikpiSNHjjBgwABeeumlNt/I1+v1NDQ0tASby8vLMTc3Z9CgQQwdOrQlSaGuro6MjAwyMjKoqLjfnDosLIxXXnmlTdnVBoOBEydOYG5uzsSJEzscGO+LDAYBebWKunIF9eUK6sqV1JU1U1euRBTuX7vau1riHmSHR6A9PuGOOHq0v4dE1rVyzm3OYuob91c1Pk5DlZIzGzNx8rQmNM4dr1DHHtEA0qAT2PU/iS3lS/6TnYsFC3829KHyiRKJ5MUgBZ2loHOP97xO0kOppfx0321UOgNvjgnk57MeX7+tLQyCyJb4Qn53NJP+3vasXxmLm+3jg7rPWp1Cy4LPrlGr0LLvnRH0c3s0+/g/qZq17PnDTURRZOHPhj5UnxmgouB+ZolfpBMz34l+ZLl7nULLb49kcCi1DABHK1PCPGwJ97Aj3MOWMA9bglxtsLMweSTwkF/VzNyPrxDpaceOt4Zj2s6ApTI5meI33sTUyxP/zZsxdnBAlZRE49FjNJ08iaGxEWN7ezTL1/B70/4kFtYR6m7Dz2dFMi7U9ekHaEXd5i1U/uEPWA0dis+nn7SU2ugsURQp/+UvqTp8htJ5v0Dmdb8urZGx7P7DSIbMWIZ/lDNBA5889oZKJXv/9yZW9ua8/OPBbNuxmdraWt5//30sLbu2dt2przK4k1LFop/HPbMmbvUVCvb9OQlrB3Ne+fEQzP6jpl1BajXnNmchCCLjl4YREuveapmGooxajn6U1qOCj6IosvdPN1ErXows5/9UeLuGb75MRxTuZ64/YONojouvLS6+NkRP8OmSjKKyvAbUCh02juZYO5hjZWuGzEiGKIoc/+w297LrWPLrYdg5P9t6ji8qURC5fugOyd8U4xPuyLQ3+0sXnhKJpMtd2pXL7fP3sLQzQyXXAmBhbYpnP3u8QhwAyLhcRkOlEhNrgWqHRNzd3Fjz5utPDRSf/TqT/JtVrPifkY/MhwEuX77M2bNnGTZsGJMnT0aj0TzyaGpqora2tuVRX1/fcv3j6upKXFwc0dHRmJs/vqdETU0NaWlpXL58mZCQEBYvXvzEILIoihw5coTk5GQAAgMDWbhwoVSDupN0GgNVRXIq78qpKGik4q685ZzzCnEgeoIPgTEubUq4eFA+zMrOjAX/1fbyYT2NXmugqU6NVm1Aq9ajU93/UynXEn/wDoOn+jHipX5P35FEIulVpKCzFHTu8Z7nSZpT0cT2hCK+PyUUB6uuqcN2JrOS93ek4GxjxqbVQ9sU3O1uKq2Bpeuvk1kmZ9sbw4gNaHtd3eriJvb9XxLuAXbM/d7AlkCXqknL7j/cwMhY9tQ712klDaQU15Nd0UR2RRO5lU0otYaW563NjPGwt8DLwRIPOws87S04mVFBTbOWYx+MbncG+gOKhERK1q7FxN0NUaNFX1GBzNIS20mTsJs9C5uRI5GZmSGKIt9kVPDHE9kU1SoZF+rKz2dFPNJwsi0ajxyl7Gc/wzwkBL8v12Hi0vnyDFUf/o3adetwefcdXD/4oNP7u5dTz5F/pOIT4ciQl934cv2XDB06lJkzZ3Z63w8Upddy9OM0hs4OJG52YJftty1Ksuo48lEaflH3b4YYGckw6ASu7s/n9vl7uPrZMu3NKOxdn3zBdfTj++VIlv1uRKsXmM/ai5rl/G1VRXIyr5Zj72KJi58NLj42XRJkbo+mOjXbf5uAT6gDM9+NljJxO0mr1nNmYyZ302qIGuvNmEUhL9wNE4lE0jM86BVg0BrwCnXEs589Th7WDwXxRFGkNLeBgwcPUKMswbFmMAEhPox5NRQnr9ZvkMtrVGz91XUGjPdmzKuhrb5GFEW++eYbrl+//sQxmpqa4uTkhLOzc8vD1dUVLy+vdn3e3Lhxg2PHjhETE8O8efMeGzQ/e/Ysly9fZsyYMTg7O3PkyBHs7OxYsmRJt/f06EtEUaSpVk1+UhXpF0tpqlNj42hO1BhvIkd7PXEemXyqiPj9d5j3/UH4dKB8WG9wemMGd5KrWf674dg49pykLIlE0nlS0FkKOvd4L+JJeuteA69vuolWb2Dda7EMD2pfDd+uVFyr5OcHb3Mlv4bPlg1hev/2NVkDyEmo4MzGTKIn+DBmUSiCIHL0o1TK8hp55SdDcPVrX3BWEETu1avIrpBTVKukrFFFRaOaskY1FY0qqpo0mBkbse612A5nHT+guHaN0h//BMsBA7CbPRvbiRMwekx2h0ZvYEt8Ef88m4dGL3Diu2MIcm1/w7Hmy5e598F3MXF1xe+r9Zj5+nZ4/LWbNlH1p//FYdEiPH7z6y4LgGVcLuXCthyCB7uh9ywkKTmJtWvX4uHR/vPjP+k0Bnb8NgETMyMW/Tyu1VIf3S39UikXt+cQM8mX/mO9OfVVBtXFTcRM9GXES8FtGlN9hYKdv0skfKQnE5aHP/G1giB26/JGg0Fgzx9volXpWfa7Fy/LuadJPVPM1b35TF/bn+BB0kV5Rz1o3lR7r5lRC0OInuDzTIL4er2erKwsVCoV9vb2ODg44ODg8MTsQYlE0ncUFBSwefNmRgwbibMYyq3zJei1ApNXRRI06NF554Vt2WTFl7Pi9yOxcXz87xFBEEhJSUGpVGJubv7Qw8LCAisrK+zs7Lrs9+DFixc5f/48I0eOZOrUqY88/6Cp9eDBg5kzZw4ymYySkhJ27tyJTqdjwYIFhIa2HkSXdJwgiBTdruH2hXuUZNVjZCIjeJAbXiEOOHndb0r4IFlHrdCx9ZfxuAfaMef9gc934N1IXqNi22+uEzbMg4kr2l4yUSKR9HwvYjyvPaSgcy/wop6kJXVKVm+6QVGtgr8sjGHeQO8u2W95o4rqJg39veyfGOSqbdbw0bl8tiUUYWwk4zdzolgc1/EyAVd255F2roRJqyJorFJx83hht2Vc6gwCOoPw3OpiVzSqmfLhRQb6ObD59bgOXRyo0tIoeWstmJnit349FmFhiDodglqNoFQhqpQIajWmPj4Y27Qe2G48fJiyn/wXtlOn4v23D5F1cQ2+B4E19xAr7ugv4urqyurVqzt9MXRlbx5pZ0p46UeD8ern8NjXGQyGbq0reHlXLrfO38PY1AgTMyMmrYwksJ2NAa/suX/ev/qzoa3eXBEMAjeOF5Jyqpjh84KImeTbLUG1m8cLSThcwIy1A1q9IJZ0LcEgsOdPN1HJtSz9zfBHyrRInkzRqKE8v5HLu3PRaQxMe6M//v27/+arWq0mOTmZ69evI5fLH3ne0tISe3t7/Pz8mDZtmlTXVCLpg3Q6HZ999hkA77zzDqampjTXazi57jaVd+XEzgxg6OzAljl2c72aLb+MJ2KkF+OXhj3PoT9CFEVOnDhBYmIiU6ZMYdSoUS3P3bp1i/379xMREcHChQsfyoRubGxkx44dVFRUMGXKFEaOHCmt6ukm9RUK0i+WkpNQgUapb/m6tb0ZTt42CHqB0rwGFv18KC4+z391bHe6sjuPW+dLWPzLYY9dVdBTaFR6TMyMpCQPiaQNXtR4XltJQede4EU+SRuVOt7acpOEu3W8P7Ef708MwayDTcnUOgOfXbjDZxfvoNULuNmaMy3Kg+n9PYgLdGqpeazU6vnq8l2+uFSAUqtn0VBfvjspFA/7zi1lMhgEjvwjlfKCRgS9SMRITya+9uLeqd549S6/PZLJZ8sGM2OAZ4f2ocnPp/iNN9FXV4OREeh0j77I2BjLAQOwGjEc6xEjsBw4ECMzM5ovXqTkve9gFRuL77ovMGpDo5iOyEmo4NzXWcjca6kQ03nllVcYMGBAh/dXVSRn759uEjnai/HLWs8O1mq1nD17lps3b7Jy5cpONVh8EsEgcHpDJmqFjomvRWDr1P6fAY1Sx9ZfXcfJ05r5Pxj00EVZc72aU19lUJ7fiIO7FQ2VSvr/q3xAVzZNrCtTsOsPiQRGuzL9rf5dtl/Jk1XelbP3zzcZMN6HsYukTLDH0aj0VN2VU1kkp6pQTlVRE4oGDQC2zhbMejcaZ+/2rxhpj6amJhISErhx4wYajYaAgABGjhyJp6cnDQ0NNDY20tDQQENDA7W1tdy9e5c5c+YwZMiQbh2XRCLpec6dO8elS5dYsWIFwcHBLV836AQu7swh62o5/v2dmfJ6JOZWplzalUvGxVKW/X54j6zzLwgC+/fvJz09nXnz5jFo0CDy8vLYsWMHfn5+LFu2DFPTR0vgabVaDh48SGZmJtHR0cyePbtNTQklHSOKIs31GmpLm6krU1BXrmj5M3y4x2PnzC8SVbOWrb+IxyvUsVNNobtbY7WSfX9OwtLWjJnvDHhqOT6JpK97keN5bSEFnXuBF/0k1egN/OJAOnuS7hHuYctfFsbQ39u+zduLosiZrCp+dzSDkjoVc2K8GB/qypmsSi7kVKPSGXCwMmVyhDtBrtZsuFJITbOGaVHu/HhaOP3cuu5iXynXsvdPNzG3NuGVHw/BxOzFzRLTGwRmf3SFRpWOsz8c1+Gsa115OfXbtwMgs7TEyNIKI0tLjKwskZmZoc7ORhEfj/p2OggCMktLrAYPRpmUhHlQEH6bv35sJnRXKc6s5fgXt6m3T8bERuCD777foWXoD7JDlf/KDjVvJTu0uLiYgwcPUldXh5GREdHR0cyfP78L3kX3eVCqY9qb/ek35H6phbu3ajj7dSYG/f2GhKFD3VsapflFOTHtjf5dkh0rCCL7/y+JhiolS389vEfUlu5LLu3M5fbFeyz4r1jcA+ye93C6jCiKXZLV1lCpZM+f7pd9AbB3s8TN3w73ADvc/G1x9bfFxLT7Pid0Oh0nT54kNTUVQRCIiIhg1KhReHs/fmWRKIp89dVXNDQ08MEHH0hBFomkD6muruazzz6jf//+vPzyy488L4oiGZdKubwrD1tnC8YvC+PoJ7cIHereoxMt9Ho9O3bsoKCggAkTJnD58mWcnZ1ZtWoVFhaPv+EuiiKXLl3i/PnzuLm58eqrr+LSBb1IJG3XVZ/HvcXNE4UkHCp46mrI50Wj0rPvf+9fyyADRJi6Jgq/qMev1hJFkfykKpJOFKHTGjB+0Oj9W03fvUMdiZ0ZgHEHk88kkp7sRY/nPY0UdO4F+spJeiqjgl8cTKdWoeXtcUF8MCkEc5MnX4wX1ij4zZEMLuRUE+Jmw2/nRTEy+N+TQZXWwKW8ar5Jr+BMViVytZ64ACf+a0Y4Q/y7pxGFVq3H2NjoudTpfdZuFNax8PN43hkfzH9N794MBINcjvLGDRTx11HExyMzMcFvw1eYOD+beuBVRXL2fXqJSsubDOwfy/wFs9u9jweNUFqrg6vT6Th37hzx8fE4ODgwb9480tLSyMzM5Mc//nGrWTg9hSCI7P6fG2hVehb9Mo4bR+6Sdq4EF18bpr3RHwf3f2dAZF4p4+L2HBw9rZj1XkyHsqu/Le1sCVf25DF5dSRhwzpfb1vSPhqVnh2/uY6lnRkLfxrbaga7okGDRqnHwsYUC2uTTmW519xrorFaRcAAl267MMmOL+fK3jymvv7ki6inEQWRAx8mU1emYMqaKDwC7TC3erY/x6dOneLatWvExsYycuRInJza1iS3uLiYDRs2MGHCBMaNG9fNo5RIJN1Br9djZGT02AZ6/0kQBDZt2kRVVRXf+c53sHnCDf2y/AZOrktHJdcik8HS3w7Hwa1nZztqNBo2b95MaWkpjo6OrFmz5onv8dvy8/PZv38/Op2OOXPmEB3dsSzU0tJSLl26hJOTE76+vvj6+mJr+2KXjJC0j05jYOuv4rFztuDlHw/pUQF3wSBw9JNblGbXM/e7A7F1tuD4Z7epK2tm+PxgBk31e2S8deUKLu3MpTSnHmdvG5y8rBEMIoJBQBBEBIOITq2nokCOm78tU9/oj71rz1sxIZF0Rl+J5z2OFHTuBfrSSdqo1PH7Y5nsTbpHiJsNf14QzSC/fweHNXoDd2sU3KlSkFRUz9brRZiZGPG9ySGsHBnQUkKjNTqDQGm9Cn9nqx71Ad7b/XB3GofTSjnx3bFdmjXeEzVUKfnq4200ycp4afpSYkaEtHnbxmoVO3+XgG+kEzPeHvDQOVhSUsLBgwepra1l6NChTJ48GXNz85ZGPgsWLKB//55dNqI0p56Df0vBwtoUtULHgAk+jHw5uNUszpKsOk6uS8fE1IhZ70Xj5t+xDNnGahU7f5+Ad6gjs96Lln6un5M7yVWcXJfOqAX9GDjZj6Y6NWV5DZTm1lOW20Bjteqh15tZmmBhbYKFtSkOHlaMeTW0pWHQk1QXN3Hgw2R0agOWdmZEjvQkcoxXly3nFgWRhCMFJJ0oAhk4eVqz6BdxHW6AmXauhCu785i0MoLwER0rQdQZpaWlrF+/vqVBVnvt3LmTgoICPvjggzYHZiQSSfeoqKjA2dm5zTegs7Oz2bt3L3q9/pGGfebm5shkMkRRRBAERFFEFEW0Wi3l5eXMnTuXwYMHP/UYzfUazn6dibO3DaMXtn0+9DwpFAquXLnC0KFD23wT7oHGxkb27t1LSUkJsbGxTJs2rV0JARUVFWzatAm4n2hgMBgAcHBwaAlAh4WFYW/f9tWekhfTg2bmM94eQNDA7utTIggipdn15CRWIAOGzQt+YiPQSztzuX3h3kM9i3QaA+c2Z5GfVEW/WDcmrojA1NwYrVrPzWOFpJ0twdTCmOHzgogc4/3YOdWdlCrOb8lGFETGLw8nJNa9O96yRPJc9KV4XmukoHMv0BdP0gs5Vfxs/20q5WrmxHih0OjJr2qmuE6J8K9vg0wG8wd687MZ4bjZdS5bUtJxNc0aJvzlAjE+DmxZ07Gmgr1JdUU9n33+CSZ6G97/4VpsHZ8e8BJFkSP/TKXirpylvx6GjaMFOp2O/Px8MjIyyMjIwM7Ojnnz5hEUFNSynSAIfPjhh3h7e7NkyZJueT+VlZVotVp8fX07va9T69Mpzqxj4msRT50k15UpOPpJGiq5lkHT/PEJc8DN367NJWlEUeTQ31OpKpKz5FfDOp0xLek4URQ59un9zBcrezPkNWoAzK1M8OzngHeoA1b2Zqib9agVuvuPZh0apY7SnAYc3K2Y+92BTyyN0lCpZP9fkjA2NWLky/3ITayk6HYNAP79nYka641flHOHA8R6nYGzX2eRf7OKiFGe+IQ5cnpDZocDxo3VSnb+LhGvUEdmf+fZ3xDR6/WsW7cOtVrNu++++8Tl449TU1PDJ598QmxsLLNmzeqGUUokvV9ZWRn5+fkYGxtjamqKiYkJpqammJqaYmZmhre3d4fKcT2gUCg4efIkt2/fJiwsjMWLFz/194lcLuezzz7Dzs6O8PBwNBoNGo0GtVrd8vcHJQuMjIyQyWQtf/f09GTy5Mltzo7uawwGA+fOnePq1at4eHiwcOFCnNuw4q66upqNGzdiYmLC6tWrsbW1pby8nJKSkpZHc3MzMpmM0NBQhgwZQr9+/aT/hz5KMAjs+F0iMhks/mVcl/ZBAagtbSbnegW5iRUoGrWYWZog6AWMTIwYvTCE8BEej/yeuX3hHpd25jJwsi+jFjx8k0kURVJOFRN/8A7O3jYMGOfNjWOFKBo0RIz0ZMRLwVjaPr1Ul7xGxekNGVQUyIkc7cXoV0MwfYFLVUr6jr4Yz/s2KejcC/TVk7RJreOPJ7I5nFqGt4Ml/dxsCHa1JtjNhn5uNgS52GApfRD1CJvjC/nVoQw+WTqYWdHPPqPvWbt2KZFT547jaRvC2h8ue+rrM6+WcX5LNiMXBmLmoSQzM5Pc3Fx0Oh2WlpZER0czYcKEVgND33zzDQkJCfzoRz/Cyqprl67W1dW1BKbCwsKYMmVKp2oVPlgq19YatUq5ltMbMriXXQ+AkYkMNz87PPvZ49XPAY9g+8dmwD7IAhm3NIz+Yx9fn1bybMhrVZz4/Da2ThZ4hzriFeqAs7fNU4PAJVl1HP/0FrbOFsz73iCsHR4NzjTVqdn/lyQMOoGXfzSkpVxLU52ajMulZF4tRyXXYudiweTVUXgGty9LTNWk5fhnt6gokDPipfvLQwH2/ukmyiYty347vF11l0VB5ODfUqgpaWLJv24ydZWmpiYsLS0xMXlyPfQLFy5w4cIFli5dSmhox5s8Hj16lOTkZN59912pjqlE8i1KpZKzZ8+SlJT0xNeZmJgQGhpKVFQUISEhba6RLooiGRkZHD9+HLVaTXBwMHl5eUyePJnRo0c/djtBENi6dSslJSWsXbtW+rntJjk5ORw4cABRFJkyZQqDBw9+bIC4rq6OjRs3IggCq1evbvX/RBRF6urqSE1NJTk5GYVCgb29PUOGDGHQoEFSCY4+qCClmhNf3GbC8nAiR3t1en+CQSDjchmZV8uoKWnGyEiGX39nwoZ5EBDtTHO9hnObsyjPb8Qvypnxy8JaEjpKMus48nEa/lFOzHgn+rFzu6KMWk5/lYFGqcfF14ZxS8LwCGrfnMxgEEg8cpfkb4pw9LBm2htR3d5sWSLpbn01nveAFHTuBfr6SSrp+QyCyNyPr1DbrOXsD8dhbd75BnE93cZPdlFUncXYYZOZOOPxF4DN9Wq2/fYqapdCmihHr9djbW1NREQEkZGR+Pv7Y2z8+IBWeXk5X3zxBbNmzWLo0KFdNn6tVstXX31FY2MjQ4cOJSEhAb1ez9ChQxk3blyXB7ifRK3QUX6nkfL8BsrzG6gqakIwiCADN387/CKd8I1wwj3IDmNjI5rr1ez4bQKufrbM+94gZB3MbpX0DGV59Rz9+BaWdmbM//6gh7LWVc1aDvwlGUWDhvk/GIyr36MX3ga9QEFqNdcPFdBcr2bckrCWZZ9PU1eu4NgnaSgatUxZHUnw4H/XWi/JruPw31Nbyoa01YNsoG8vP+0KVVVVfPnllzg5ObF06dLHLsGurKzkiy++ICoqildeeaVTx2xubuYf//gH/fr1Y9GiRZ3al0TyIhAEgeTkZM6ePYtarWbYsGGMGzcOIyMj9Ho9Op2u5aFUKsnJySEzMxOFQoGpqSlhYWFERUURFBT02AzopqYmjh07RnZ2Np6ensybNw93d3f27NlDVlYWK1euJCAgoNVtr1+/zsmTJ5k9ezaxsa1e30m6SENDAwcOHKCoqAh3d3emT59OYGDgQ69pbGxkw4YNaLVaVq1ahbv700sG6PV6srOzuXnzJoWFhRgZGREVFcWECRPaXRJE0nuJ4v1G2U21apb9fkSnMn7ryhWc3ZRJVVETbv62hA33ICTW/ZHsY1EQuX2xlPgD+RgZyRi1MASPQHv2/V8Stk4WvPzjwZhZPPkaT16jorJQTvBgtw6vPoP7ge7TGzPQaQWW/3Z4q0kJEklv0dfjeVLQuRfo6yeppHdIKqrnlc+usXZcED+b0XM7mHcVjVrH3//wGWqjelatWoV/gP8jrxFFkQP/TCSz+jIGUwVDhgwhKioKf3//Ni+ZFEWRTz/9FAsLC9asWdMlYxdFkYMHD5KWltaSCdnc3Mz58+dJTk7G3NycsWPHEhcX99SMyu6g1xqoLJRTmlNPSVY9lYVyREHE1NwY7zBH1M1aakqaWfyrOOxde3bjIknbVBQ0cuSjNMwtTZj3/YHYu1qhVes59LcUassUzP0gBq+QJzd/VSt0nFqfTklWPdETfBi1oN9jl6QKBoG8m1Vc2pmLsYmMme9G4xH4aBD30N9TqClpZvl/j8Dc8uk/C/IaFTt+n4hnsD1z3o/psrIaWq2WL7/8EoVC0VKjdcmSJXh5PRzUFgSBr776ivr6et577z2sra07fewHWdNr1qzpkjI8kr5BEAS0Wi1mZmYvTImAe/fucfz4ccrKyvD392fmzJltCiIKgkBhYSEZGRlkZWWhVCoBsLOzw8XF5aFHQ0MDp06dQqfTMWHCBEaMGNFyY1qtVvPll1+i0WhYu3btI9mvlZWVrFu3juDgYJYsWfLClzvrCURRJDMzk1OnTtHY2Eh4eDhTp07FycmJpqYmNm7ciEKhYOXKlY/8vm6L6upqkpKSSEpKwmAwEBcXx9ixY59pYkB7iKKIXC6nrq4ODw8PLC17TkM4g8FAcnIySqWSyMhIXF27r1ZyVynLb+DAX5Jx9rFhwvJw3APa1wNFEERSzxSTePgupubGjF0S2qZayY3VKs5vyaI0twFjEyPMLI1Z8NPYLuuh0Vb1FQq2/yaBuDmBDJ0V+PQNJJIeqq/H86Sgcy/Q109SSe/xk71p7E8u5f2JIfg6WeLlYImXvSUe9haYmbTvojO9tJGjt8oZFujEhHC3p2/wHOQk3WPXga2YWsp47/13sLN7eDKYcDqTby4dQmZqYPGSRYSEdKzRzuXLlzl79izf/e53cXR8cuCtLW7evMnRo0cZN24cEyZMeOi5yspKTp06xZ07d3BycmLFihVdcszOeFD7tySrjuKsOuTVKkYvDCFmkhQAe5FUFzdx+B+pGJvImP1+DFf25FGW18iMtwcQGN22JeKCQeDa/juknS3BO8yR6W/2x8Lm3yVadFoDWVfLST1TTFOtGhdfG2asHYCdS+sXUlVFcvb88SaxMwMYNjeo1dc80J11xg8ePEhqaiorVqzAxsaG7du3o1QqWbBgAWFhYS2vu3btGqdOneKVV15hwIABXXJsjUbDRx99hKOjI6+//roUyJI8pLq6mvPnz9PU1NRSN1itVqPVagGwsrKiX79+hISEEBwc3GODZU8iiiInT54kISEBGxsbpk6dyoABAzr0s2AwGCgsLKS0tJSampqWx4PvF4Cfnx9z585ttQxDZWUlX375Jd7e3rz22mstAWm9Xs+XX35Jc3Mz77zzjtT88xnT6XRcv36dS5cuIQgCcXFx3Llzh/r6elasWIGfX9tXy7RGLpdz4cIFUlJSMDc3Z8yYMcTFxbWrkWFXMxgM5OfnU1VVRXV19SPnso2NDXPnzu1Uiaeukp+fz8mTJ6mpqWn5mpubG1FRUURFRT3ys6bRaKiurqayspKqqir0ej3GxsYYGRlhbGzc8nc/P7+HerF0h4LUai7tyEEp1zJggg/D5gY9NdsY7vfCOPt1JhUFcgJjXBi/LPyJvTP+kyiIpF8qJf1SKROWh7e7TEZXOfzPVOrLFaz47xFdXttaInlW+no8Two69wJ9/SSV9B61zRqWfplATmXTQ1+XycDVxpwQdxvGhLgyNsSVCE/bRy7YVFoDR2+VsS2hmNSShpavrx0bxI+nhWHSAycb+z66SnrNOdzc3XjjzddbLgCy0vPYvWcXxkbGrF7zGt4+Ha873NDQwN///ncmTpzI2LFjOzXee/fusXHjRgIDA1m6dOljM9Dy8vLYt28fNjY2vP766z0qUKBq1mJp0/aJs6T3qC1t5tA/UlE1aUGEyasjCRvm0e79ZMeXc35bNjYO5sx8Jxpre3NuXbjH7fP3UCt0eATZMWiqP4HRLk8tz/LNl+kU3q5hxX+PfOIFW/qlUi5uz2H8sjCixnRdnfGUlBQOHTrE2LFjmThxInB/+f2OHTsoLy9n2rRpDB8+nLq6Oj799FOCg4Pb1GysPR7cqFq0aBEREY+uZBEEAeCFyWiVtE1BQQG7du3CyMgId3d3LCwsMDc3x8LCAgsLC8zMzKisrCQvLw+VSoVMJsPHx4fQ0FDCw8N7RaYh/Dvbf+jQoUyaNKlDjTmfRBRFmpqaqKmpQa/XP7WBXFpaGgcOHGDUqFFMmTIFgFOnTnHt2rVO13GXdE5TUxNnz54lNTUVY2Njli1b1qVBycrKSs6cOUNeXh729vZMnDiR4OBgrK2tn+kNQZ1Ox549e8jNzQX+nbXv6uqKi4sLNjY2nD9/nqqqKgYPHsy0adM61VCzo2pra/nmm2/Izc3FycmJadOm4enpSVZWFunp6ZSUlADg4eFBYGAg9fX1VFZWUl9f37KPB01BDQYDgiBgMBgwGAzA/c+8t99+Gze37k2O0aj0XD94h/RLpdg4mDNuaRgBA1q/Ga9W6Mi5XsH1g3cwNjVizKJQQuPce+0N4we1rWe+M4DAmN7xmSGR/Ke+Hs+Tgs69QF8/SSW9j1pnoLxRTVmDitIGFeUNakoblNy610h2xf2AtJut+f0AdKgLgS7WHEgpZV/SPeRqPf3cbFg2zI9Z0Z7882weW68XExfgxMdLB+Fm17UXe53VVKdmw/8cod42g+joaF566SUyMjLYt3c/RgZzXnvtNfxDOt9cccOGDSiVSt57770OTxwVCgVffPEFMpmMtWvXPjWQXFhYyJYtW/D29mbFihXPNaNG0nfUVyg4vSGTyFGe9B/n0+H9VBQ0cuLz22g1BhBF9FqBgGgXBk31w6ufQ5v301CpZMdvE4ga48XYJWGtvqauTMHeP9/EPcCOud8d2GUXd1VVVaxbtw4fHx9ee+21hwJRWq2W/fv3k52dTVxcHFVVVZSXl/Pee+89suqiswwGA5999hmiKLJgwQJqampaMtuqq6upq6vD2tqaMWPGMGjQoOdSlkfybCUnJ3P06FGcnZ1ZunTpE1fECIJAaWkpeXl55OXlUV5eDsCQIUOYNGlSt9zUVKlUfPPNN3h5eTFkyJAn9k54kvT0dPbu3UtMTAzz58/vMYGbI0eOkJSUxOLFizEzM2Pz5s3ExsYye/bs5z00CVBRUYEoinh6dk9z7YKCAk6dOkVFRQUAFhYWuLi44Ozs3FKqxc/Pr0tKLP0nrVbLjh07uHv3LtOnT2fQoEGtBpT1ej3nz5/n6tWrODg4MH/+/MfWIu9qGo2GS5cuER8fj4mJCWPHjmX48OGPfDY1NjaSmZlJRkYGpaWlODk54e7u/tDD3t6+1ZtACoWCjz/+GDc3N1atWvVMfjeU32nkwrZs6soU9BviRshQdxqrVDRUKqivVNJQqUTVpAPAf4AzE5aF9/payIJBYPP/u4azjw1z3h/4vIcjkXRIX4/nSUHnXqCvn6SSF0tFo5pLedVcyq3mSn4NDcr7kyNTYxkz+nuybJgfcYFOD03eDqaU8rP9t7E2N+GjJYMYEez8vIbfquRTRZz55hxK2yJCQkLIy8vDRGvHtLFzGTq9X5cc40Gm4VtvvdWhuoAPOtoXFRWxZs2aNu/jwQV3ZGQkCxYskDIZJb1Kc72G81uzsLIzY+AUP5y9Orbk/ML2HLKulLH0t8MeqiPeVKfm5vFCsq6VY2ZhzKv/b+hjS3W0l0aj4csvv0SlUvH2228/Ur8V7v9cnz59mvj4eADmzJnDkCFDuuT4/yk7O5udO3e2/Fsmk+Ho6NgS4CgpKaGkpAQHBwfGjRtHdHR0hwN9kp5LEATOnj3L1atXCQ4OZuHChe3O/G1qauLq1askJCRgYWHBlClTGDhwYJd9vjQ3N7NlyxYqKyuB+8vop0+f3u6M09LSUjZu3IinpycrV67sUTdTdDodGzZsoK6uDjMzM8zMzFi7di1mZtIqoL7iQa3wqqqqh0q1NDc3A2BsbExMTAwjRozoslUFarWabdu2ce/ePebNm8fAgQOfuk1RUREHDx6kvr6eESNGMHHixC5PYhAEgaqqKoqKiigqKuLu3buoVCoGDhzIpEmTWv38bG0f7f0dlJSUxJEjR3jppZeIiYnp6PDbxaAXSDlVzM3jhRj091cZWdqa4uBuhYO7FY7u1rj42uAT7thjbpJ1VuKRAm4cL2T570Zg79pz6oRLJG3V1+N5UtC5F+jrJ6nkxWUQRG7dayC/qpkJ4W642Dz+bnxeZRNvb03ibo2CH00L4+2xwZ3qityVDAaBXf+dyD1DMkqjKix1rgTZDeWVHw/tsjGqVCr+8pe/MHToUKZPn97u7c+cOcOVK1eYO3cugwcPbte2D+rEDh8+vEPHlkh6O0Wjhq2/iCdwoCtT10ShatKSdLKI9IuliIj0H+PNkBkB7aqX+CSiKHLgwAFu3brFa6+99tRgWUpKClVVVUydOrXbLjJFUeT27dsYGRnh6uqKk5PTQ4EDURTJz8/n3LlzlJeX4+zszPjx44mKipJuVvUSgiCwd+9eZDIZ/v7++Pv74+rq2vL/p9VqOXDgAFlZWcTGxjJjxoxO3VioqKjg+PHjFBcX4+3tzaxZszp0U/XbGhoa2Lx5M01NTSxatAitVsupU6doaGggPDycadOmtalPgVwuZ926dRgbG/Pmm2/2yBrJ9fX1fPHFF2i1Wt54441Of+8kLwa1Wk11dTWpqamkpaWh1+sJCQlhxIgRBAYGdmq13NatW6msrOSVV14hKiqqzdtqNBpOnz7NzZs3cXBwYOjQoQwaNKhTqxzkcjm3bt2iqKiI4uJiNBoNcL/Uh7+/P8OGDcPHp+OrpdriQfPehoYGvvOd7zzTxolNdWoUDRoc3K2wsH6xVyI212vY/PNrDJrix4iXgp/3cCSSduvr8Twp6NwL9PWTVCJ5QKHR89P9tzmSVsa4UFf+e35/fJ16Rq3hsvwG9v/lBqJdMyYqBxb/PA5Hj65d1rhz507u3bvHD37wgzYHcUpLSzl79iwFBQUMGjSIefPmtfu4326iNG3aNEaMGNHufUgkvV38wTsknyyi/zhvcq5XoNcaCB/hSeysgC7v6J6cnMzhw4dbbfbZ04miSHZ2dks9T3d3d5YuXYq9/fNpQiRpu6ysLHbt2oWlpSUqlQoAS0tL/Pz88Pf3Jz09nbKyspY64l1xg0MURW7dusWpU6dQKpXExsYyceLEDgVvqqur2bx5MzqdjqVLl7Y0b9PpdMTHx3P58mUEQWDkyJGMHj36sTVmtVotGzdupLa2ljVr1uDu7t6p99idKioqUCqV3d7MTNI7KRQKbty4QWJiIkqlEg8PD0aMGEFUVFS7MvebmprYvHkz9fX1vPrqqx2uG56fn8+lS5coLi7G2NiYqKgoYmNj8fX1bfPvE41Gw9WrV7l27Rp6vb6llMiDG2UODg4dGltHlZeXs27dOmJjY5k1a9YzPXZfcvyzW1QUNLLyD6MwNpVuZEt6l74ez5OCzr1AXz9JJZJvE0WRrdeL+OOJbAyCyHsT+vHW2CAsTJ//Mu6zX2eSHV/ByFf6MWhK5zqVtyYzM5Pdu3ezYsUKgoOffKe/urqac+fOkZWVhZWVVUun845mpQmCwJ49e8jKymLhwoUtGS56vZ76+nrq6uqor6/HyclJamIkeSFplDq2/DIejUJPvyFuxM0J7LIbS0qlkqqqKiorK6mqqiItLQ1fX19WrFjRa7OEBUEgIyODI0eO4OTkxOrVq59LIylJ23399dfU1tby3e9+F7lc3rJUvaioiLq6OkxNTVmwYAFhYa3XNu8MlUrFhQsXSExMxNramlmzZrXatPJxysrK2Lp1KzKZjBUrVuDh8WgDUrlczunTp7l9+zbm5uaEhIQQHh5OSEhIy7n5INs7MzOTJUuWdMt7lUieNZ1Ox61bt4iPj6empgZbW1uGDRvGkCFDnnqDp6amhm3btqFQKFiyZAmBgYGdHk9lZSU3b94kLS0NrVaLm5sbQ4YMISQkBEfH1stCCIJASkoK586dQ6FQ0L9/fyZOnIiTk1Onx9NZJ06cICEhocMl8CRPV5xRy5GP0pi6JoqQoT33RqBE0pq+Hs+Tgs69QF8/SSWS1pQ3qvjvY1kcu1WOv7MVv54TycTw5zsJ0ar1FKXXEjzYrVtKf+h0Ov7yl78QHh7OSy+91OprGhoauHDhAmlpaZiamjJixAhGjBjR7pqbjzv+5s2bKSsrw9fXl/r6ehobGx953YIFC+jfv3+njyeR9DS1pfdrZTp7d36pfUZGBikpKVRWVtLU1NTydQsLC3x8fJg3b16b6lD2dPn5+Wzbto1+/fqxePFiqc5zD1VVVcWnn37KpEmTGDNmzCPPy+VyjI2Nu6Ux2beVlZVx6NAhKisriYyMZMaMGU/9OSgsLGT79u1YWlry2muv4ez85L4PJSUlJCcnk5OTg1KpxNjYmKCgIMLDw6mrq+Pq1atMmTKFUaNGdeVbk0ieO0EQuHPnDteuXePu3buYmpoyePBghg8f3lJ2Rq1WU1hYSEFBAXfu3KG2thYLCwuWL1/e5eUqNBoN6enp3Lx5s6XBqI2NDf7+/vj5+eHn54e7uzt37tzh9OnTVFVV4evry7Rp07q9dEZ7qNVqPv74Y+zs7HjjjTd67c3inkwURLb+Kh4bRwte+mH7ygRKJM9bX4/nSUHnXqCvn6QSyZNcza/hV4fSuVOtYHKEO7+eE9ljSm50h0OHDpGRkcGPfvQjzMzMMBgMVFRUUFhYSFFREXfu3AFg6NChjBkzpssDBEqlkv3796NWq3FycsLJyQlHR0ecnJywt7dn7969lJaWsmrVKnx9fbv02BLJiyI1NZWDBw/i6OiIr68vbm5uuLu74+7ujq2t7QvT/OeBB41Qhw4dysyZM1+49/ciOHr0KCkpKfzgBz/o9sDy0xgMBq5evcrFixcxNTVl2rRpDBw48KH5cH19fUsWdnp6Og4ODrz22mvY2dm1+TiCIFBSUkJ2djZZWVk0NDQAMHDgQObNmyedp5IXWnl5OdevX+f27duIokhISAhKpZLS0lJEUcTU1BR/f3+Cg4OJiIjo9rIVDxoBFhcXU1RUhFwuB8DU1BSdToejoyNTpkwhIiKiR/5s3rp1i/379zN79mxiY1uNrUg6KfmbIuIP3GHJr4bh5PV8P6ckkvbo6/E8KejcC/T1k1QieRqtXmDD1bv882weBkFk79sjGeDzYtYPvXv3Ll9//TXR0dEolUqKi4vRarUAODk50a9fP0aOHPnMa9o9oFQqWb9+PWq1mjfeeKNHLHvsK0RRfOhz4j8vynriRVpf9ODCNCgoiCVLljzUjO9FdurUKa5duybVhe+BVCoVH374IVFRUcyfP/95D6dFdXU1hw8fpqSkhKCgIMLCwloCUs3N91cdWFpaEhQUxMyZMzsVLBdFkaqqKsrKyhgwYEC76t1KJL2ZXC4nMTGR1NRU7O3tCQ4OJigoCB8fn+f6c9DQ0EBxcTElJSW4uLgwZMiQHv1zKYoiX3/9NRUVFXznO9/pkc1HeztVk5ZNP7tK/zHejFkklfKT9B59PZ4nBZ17gb5+kkokbVXWoGLmPy8T6+/E+pUvZpaBIAh89NFH1NfX4+LiQkBAQEvzlPZkeHWnmpoa1q9fj42NDWvWrHmm3bzbQxRFcnJy8PPz61QH9Z5Ao9HwySeftGQG/Sc/Pz+WL1+OmZnZMx6Z5NvS09PZt28f/v7+LF26tE/9f3y7LvzixYsJDw9/3kOS/Et8fDzffPMNa9euxdPT83kP5yGCIHDz5k3OnDmDVqvF1ta25TPP398fFxcXaSm7RCLpEaqrq/nss8+Ijo7uUTfwXiSnvsqgKL2WVX8aham5VK5L0jv09Xjek4LOnbqVKJPJFgK/ASKAOFEUb37ruZ8BawAD8IEoit905lgSiUQC4OVgyaqRAfz9TB65lU2Euvf+eqj/ycjIiDfeeANRFHtsFoWLiwuLFy9m8+bN7N69m+XLl/e4Oq4qlYqDBw+Sk5PDwIEDe/3FQVpaGnK5nBEjRjzSrE2j0RAfH8+xY8eYP3++lPH8nGRmZrJv3z58fX1ZsmRJnwo4w/3fXS+99BJyuZx9+/axatUqvL29n/ew+jxBEEhMTMTX17fHBZzh/nkTFxdH//790Wg0ODg4SL/DJBJJj+Tq6srIkSO5cuUKBoOBYcOG9aja0y+C/mO9ybtRSd7NSiJHSU0bJZLerrPrV9KBl4Evvv1FmUwWCSwGogAv4IxMJgsVRdHQyeNJJBIJK0cEsO5SAZ9fuMOHiwY+7+F0i+ddb7MtAgICmDt3LgcPHuTYsWPMmTOnxwQKysrK2L17N3K5HHd3dzIyMpg+fXqXNFt8HkRR5MaNG3h6ejJ16tRWv8/m5uZcuHABHx8fhg4d+hxG2bdlZ2ezd+9evL29WbZs2SM3BvoKMzMzlixZwvr169m+fTtvvPFGS/MqyfORn59PfX09kyZNet5DeSIrK6tevyJFIpG8+MaNG4deryc5OZnbt2/j7e3NsGHDiIyM7NHlQXoLz372OHlZk3GptCXorGrSUlHQSEVBI+V3GrGwNmXs4lBsHHvnvF4i6Us6tVZNFMUsURRzWnlqHrBTFEWNKIp3gXwgrjPHkkgkkgccrc1YEufHobQy7tUrn/dw+rSBAwcyZswYkpOTuXr1KoIgdMl+O7o0SRRFEhMT+eqrrxAEgdWrVzNnzhx0Oh3p6eldMrbnobCwkOrqauLi4h4b2B87diwhISGcOHGCe/fuPeMR9m05OTns3r0bT09Pli9f3mcDzg/Y2NiwdOlS9Ho9GzZsoLKy8nkPqU9LSEjA1taWiIiI5z0UiUQi6fVMTU2ZPn06P/jBD5gxYwZqtZr9+/fzt7/9jfPnz6NQKJ73EHs1mUxG1BhvqoqaOLnuNlt/Fc+GH1/h+Ge3ST1TgkEvUpJdz87fJ1KQUv28hyuRSJ6iS2o6y2SyC8CPHpTXkMlkHwPXRVHc+q9/fwWcEEVx75P2I9V07rs1YCSS9ipvVDH2z+dZGufHb+f175J9iqJIRpmc05mVnM2uJNDFhn8sGoiRUc/I3u2pBEFg3759ZGRkAPczbs3NzTEzM2v5e2xsLJGRkW3aX2lpKZs3b8bPz4/Ro0fj7+/fpu00Gg1HjhwhPT2dfv368fLLL2NlZYUoinz22WeYmJjw1ltvdfh9Pk+7d++moKCAH/7wh09sSqdUKlm3bh2CILB27dpekTHf2wiCQE1NDcXFxS2PhoYGPD09ee2113psffPnoaKigm3btqHValm0aBFBQUHPe0h9Tk1NDR9//DETJkxg3Lhxz3s4EolE8sIRBIE7d+6QmJhIXl4eTk5OrFq1qsf0YemNNCo9234VD4BHkD0ewfZ4Btnj6m+LiakxDZVKTn2VQXVxE1FjvBi1MARTs55V5k/St/T1eF6nGgnKZLIzgEcrT/1cFMVD/3rNBToYdJbJZG8BbwH4+fkNKSoqauv7eqH09ZNUIumIn+xN41BqGVd/OhEXm45lFmr1AtcLajmdWcmZrErKG9XIZBDiZkNuZTO/nB3JmtGBXTzyF49OpyM1NZWmpiY0Gg1arRaNRoNGo6Guro7GxkZWrVqFn5/fE/ejVCr54osvMBgMCIKAUqnE19eX0aNHExoa+kiWryiKVFdXU1RUxPXr16mrq2PixImMGjXqocZT169f5+TJk7z99tt4eLT2kdZzyeVy/v73vzNs2DCmTZv21NeXl5fz1Vdf4evry4oVK6QGXO2kVCqpqalBpVI98mhoaKCkpAS1Wg3cL4Pj5+eHn58fgwYN6rXlW7pTY2MjW7dupba2lnnz5hETE/O8h9SnHD9+nKSkJL7//e/32B4BEolE8qIoKipi27Zt2NnZsWrVKun3bicIBgGZkeyxK/wMeoGEQwWknC7G0dOaqWuicPF58b/farUaU1PTHtdLp6/r6/G8TgWd23iACzwcdP4ZgCiKf/zXv78BfiOKYvyT9iNlOvfdk1Qi6Yg71c1M/vAi743vx4+mhbVr27s1CrbEF7EnqYQmtR5LU2PGhLgwJdKdieFuOFmb8ebmm1zKreHge6OI9JKyFTpKpVLx5ZdfotFoeOutt7C3t2/1dYIgsH37du7evcvrr7+Oq6srKSkpXLt2jcbGRtzc3Bg9ejQuLi4UFxdTWFhIcXExSuX9EisODg7MmzePwMBHbxIolUr++te/MmTIEGbOnNmt77ernT9/nosXL/LBBx/g5OTUpm1SUlI4dOgQo0ePZvLkyd08wheDUqnk6tWrJCQkoNfrH3pOJpNhYWGBjY0NPj4+LYFmJyenHlPHvCdTqVTs2rWLwsJCJk6cyJgxY6Tv2zOgVqv58MMPCQ8P5+WXX37ew5FIJJI+obCwkG3btuHg4MCqVaukVWfdrCSzjjObMtEo9QyfH0TwYDdsHM1fuHmGKIokJydz8uRJwsLCWLBgwfMeUp+jVugoza3H2dsGe1fLh86xvh7Pex5B5yhgO/frOHsBZ4GQpzUSlILOffcklUg66p2tSVzJr+HaTydia/H4sgMAgiByMbeaTdcKuZhbjYmRjBkDPJk/0ItR/VywMH34jnFts4bp/7iMg6UpR94f/cjzkrarqqpi/fr1uLi4sHr16lZLRDwIrs6ePZvY2H9/ZhkMBtLT07ly5QrV1f+u3ebg4EBAQAD+/v74+/vj6Oj4xAnmvn37yMvLe2qJip7EYDDwt7/9DQ8PD5YvX96ubY8cOUJSUhKLFi2Sark+gUaj4fr161y7dg2NRkN0dDQDBgzAysoKS0tLLC0tMTc3lzLGO0mv13Po0CFu377dcvNHytLpXgkJCZw4cYI333wTb2/v5z0ciUQi6TMKCgrYvn07zs7OrFy5UmqS2gpRFFEqlej1+scmpLSVqknL2c1ZFN2uBcDUwhgnT2scPa1x8rDGycsanzBHjE1751xOqVRy5MgRsrKysLOzQy6Xs3TpUkJDQ5/30PoEg14g/VIpN47dRaO4n5hi42iOd6gjXqEO+IQ5Yu96/2e8r8bznhR07lR7VZlM9hLwEeAKHJPJZKmiKE4TRTFDJpPtBjIBPfDe0wLOEolE0hFvjwvmRHoF2xOKWTsuuNXXKDR6diQWs+V6EUW1Stxszfn+5FCWxPniZvf45fDONub8dWEMr21I5A/Hs/hdF9WObotKuZoqueahrz2IpzrbmOFp37vqxrq5ufHyyy+zc+dOjhw5wksvvfRQgDgvL4+LFy8SExPDkCFDHtrW2NiYmJgYBgwYwJ07d1CpVPj7+7d7gjp48GBu375NVlYW0dHRXfK+ultWVhbNzc3ExbW/F++MGTMoLy/n4MGDeHp64uDg0PUD7MV0Oh03b97k8uXLKJVKwsLCmDhxIu7u7s97aC8kExMTXn75Zezt7bly5QpKpZJXX331hctE6ikEQSAxMRFvb28p4CyRSCTPWFBQEIsXL2bHjh1s2bKlz/V8EASB5uZm5HL5Yx9NTU0YDPdDRAEBAQwbNoywsLAO3eS3tDVj1rvRVNxppLZMQV2ZgrpyBcXptWRfKwfAL8qZ2d+J7nXzjrt377J//34UCgVTpkwhLi6OdevWcezYMfz9/ft88+ruJIoid1NruLY/n8ZqFT7hjgye6k9jtZLS3AaKM2vJSah43sPs8bok07mrSJnOfffOiETSGcvWXye3spnLP5nwUDayKIocv13B749mUiFXMzTAkddGBDC9vwemxm2f0Pz+aCZfXbnLVytjmRTRfQEppVbPyfQK9iXf49qdWh7368DYSMYPp4by9tjgXtfk8OLFi5w/f56pU6cycuRIAOrr6/niiy+wt7dnzZo1mJmZdcuxBUHgo48+wt7enlWrVnXLMbraxo0baWxs5IMPPujQJLy+vp5PPvmEiIgIXnnllW4YYe/U1NTEV199RUNDA4GBgUyaNAkfH5/nPaw+48qVK5w5c4YFCxbQv/+zu5nXV4iiSEJCAidPnuTll1/uNTfZJBKJ5EWTm5vLzp078fDw4LXXXnvmvR8EQSArK4v4+HiUSiVDhgxh8ODBXRYA1+l0VFVVUVFRQXl5OZWVlTQ0NNDc3PxIXMPY2Bg7O7tHHhqNhqSkJBobG7G3tycuLq5Lx6hu1pF+uZSEQwVMfC2ciJFeXbLf7qbX67lw4QJXrlzB2dmZV155BS+v+2MvLi5mw4YNDB8+nOnTpz/nkb6YKgvlXN2bR3l+I44eVox8pR/+/Z0fumkhiiJ15QrKchuInuDb8rW+qNsynSUSiaQneHd8P5atT2B/cilLh91vVHe3RsGvDqVzOa+GKC87Plk2mCH+jh3a/0+mh3E1v4af7L3Fie+Nwc226yaMoiiSeLeOfcn3OHarHIXWgK+TJd+dFEKUlz0PPta+/fF1MKWUP5/M4Vp+LR8uiunS8XS3MWPGUFFRwenTp3F3d8fPz4/du3cjiiKLFi3qtoAzgJGREYMHD+bs2bPU1tbi7OzcbcfqCpWVlRQVFTFlypQOl3ZwdHRk+PDhXLlyhREjRrRMVvu6B3XCly9fTr9+/Z73cPqckSNHkp6ezqlTpwgJCZGydP4lJyeH7OxsZs6c2eESQFqtlmPHjpGWlkZwcDCRkZFdPEqJRCKRtFVoaCivvvoqu3fvZv369fTr1w93d3fc3NxwdXXttnmvVqslNTWV+Ph46uvrcXR0xNbWltOnT3Px4kUGDhzI8OHD29wr5Nvu3bvHzZs3KS8vp7q6GkEQADA3N8fDw4Pg4OCHgsq2trbY2dlhZWX12CzjUaNGkZOTQ0JCAqdPn+bChQtER0czfvx4bG1tO/W9sLAxZcg0f0oy67iyJx/fCGdsHHv2vEMul7Nz507KysoYPHgw06dPf+hc8fPzIzY2loSEBAYMGCCtaOpCgiByZXcety/cw9LWlHFLw4gc5YlRKwlrMpkMZy8bnL1e/AaWnSFlOvcQUqazRNJxoigy75OrNKp0HP9gDF9cKuDzC3cwNzHih1NDWT7cH5N2ZDa3Jq+yidkfXWF4kDMbVw1tNcO4XqEFwM7SFONWnhdFkXv1KnIqmsiukJNd0URqSQP36lVYmxkzc4AnC4b4MDTA6YkZzKIosvNGCb85nIGthQkfvjqQsaGunXp/z5JGo+Grr75CLpcTGBhIVlYWixcvJjw8vNuP3dTUxIcffsjIkSOZMmVKtx+vM44ePUpqaio/+MEPOlULUK1W889//hM3NzdWrlzZ65YVdjWlUsnf/vY3wsPDpezv5+hBlo7U7PK+/Px8tm/fjiAIDBo0iHnz5rV7HzU1NezevZuqqirGjx/P2LFjpVrkEolE0gNkZ2dz8eJFqqurH2pW7OTkhKvr/Tm8Vqt95GFlZYWPjw++vr74+Pjg5ub22N/roijS3NxMUlISiYmJKJVKvL29GTVqFOHh4RgZGVFWVsb169dJT09HEATCwsIYMWIE/v7+T50fCoJAfHw8Z8+exdzcHG9vbzw9PfH09MTDw+OpvVXaqqKigoSEBG7duoWHhwerV6/GxKRzuZLZ2dlUltVy60gtAcE+zH5vUI+dD8vlcjZt2kRzczPz589/7M1jlUrFJ598go2NDW+++abUJ6MLGPQCpzdkcie5iugJPgybG4SZZdvOvb4ez+v2RoJdRQo6992TVCLprJPp5by9NRkHK1MalDrmD/Ti/82MeGLN5vbaEl/ILw9l8LMZ4QwPcv5X8LiJnEo52eVN1P4r6Axga26CnaUp9v96aPQGciubadb8e6Lp7WBJhKcdMwd4ML2/B1Zm7ZtQ5VY28Z3tyeRWNvP2uGB+ODW0XWVDnqe6ujq+/PJLVCrVMw867dixg3v37vGDH/ygx07Q1Go1H374IZGRkcyfP7/T+0tMTOT48eMsWbKEsLCwzg+wF7tw4QIXLlzgnXfekeo3P2cHDhzg9u3bvPvuu7i4uDzv4Tw3xcXFbNmyBScnJwICAkhISGDOnDmP1Ld/kvT0dA4fPtxSO1vK4JdIJJKeRxAE6urqqKqqannU1NQgk8kwMzN76GFqakpTUxP37t1DoVAAYGZmhre3N25ubqjVahQKxUOPBzWSQ0NDGTVqFH5+fq0GV5uamrhx4wY3btxApVIREBDApEmT8PX1bXXcCoWCgwcPkpeXR0REBHPnzu32GtWZmZns3r2buLg4Zs6c2eH9pKWlceDAgX9/QQR7OycCg/3w9PQkKCioJfD/vDU2NvL111/T3NzMihUrHvv/8cCD79G3yxb2JnqdASNjox5RLlKnNXDyi9sUZ9Qx8pV+DJri167t+3o8Two69wJ9/SSVSDpLEETmfHwFtc7A7+f3Z2Rw1wcwRFHkzc03OZNV1fI1C1MjQt1tCXO3JczDFiOZjEaVjkaVDvm//mxU6TA2khHmcf814R62hLrbYmvRseXT36bSGvjd0Ux2JBYz0NeBj5YMwtepd3TILikpIS8vj/Hjxz/TbLycnBx27NjBokWLiIiIeGbHbY+EhAROnDjBm2++2SVL5gwGA59++ikymYx33nnnscF2URQ5e/Ys2dnZzJgxg+Dg1ptzdheDwcDly5dRqVRMnjy5wyUGHker1fK3v/0NX19fli5d2qX7lrRfU1MTH330EX5+fixbtqzHZh11p4qKCjZt2oSVlRWvv/46VlZWbN26laKiIl5//fWn/vzr9XpOnTpFYmIiPj4+LFy4sN1NViUSiUTSc4miSH19PSUlJdy7d4+SkhJqa2uxtLTE2toaGxsbrK2tWx79+vXDzc2tTfvW6XQkJydz6dIlFAoFYWFhTJo06aHti4qK2Lt3L0qlkmnTpjF06NBn9nl98uRJrl+/3uEeEMXFxXz99df4+voyd+5cKioqOL8/hSZ1HUZ2KpRKJUZGRqxevfqpAd7u1tjYyKZNm1AqlSxfvrxN4xFFkZ07d1JQUMC7776Lo2PHSkk+D/IaFXv/nASiSMAAFwJjXPCNcMLE7NknBGmUOo59couKgkbGLw8nclT7yxH29XieFHTuBfr6SSqRdAW9QcDYSNatE6EGpZY9N+/h62RFmIctfk5WrZbSeNaO3Srnp/tugQz+9HI0s6I9n/eQeiyDwcDf//53PDw8WLZsWbcfTxTFdp2ToijyySefYGZmxltvvdVl48jKymLXrl3Mnj2b2NhW5wScO3eOS5cuYWFhgVqtJjY2lilTpjy15q7BYMDIyKhTP3sNDQ3s27ePkpISADw9PVm0aBEODg4d3ud/io+P55tvvmHNmjXP/eJCct+D/5NnVWKnJ6mtrWXDhg0YGRmxZs2alnNdoVCwbt06AN566y2sra1b3b66upr9+/dTXl7O8OHDmTJlSo9dvSGRSCSSnkuj0XD9+nWuXbuGRqMhJiaGcePGkZGRwblz53BwcGDhwoXPvDeIwWBg06ZNVFZW8tZbb7VrVVRDQwNffvkl5ubmvPHGGy2l6uorFOz67xv49XdixCJfNm/ejE6n46233sLOzu6J+xRFkfykKpRyLe6Bdrj62GJs2vnEmW8HnFesWNGu5taNjY188sknrd7AFwWR8oJGyvMbCBroiqNH6/OJZ02r1rP//5JpqlPjH+VEUUYdWpUeE1MjfCOdCIxxJTDaBQubrk0+aY1SruXIR6nUlSmY8noU/Ya07YbNf+rr8Twp6NwL9PWTVCKRdF5JnZL3d6SQWtLA0mF+/Gp2JBamUgCiNefOnePy5ct873vf69aswIyMDI4cOcLgwYOZNGlSmwJCqampHDx4kPnz5zNw4MAuG4soimzYsIG6ujo++OCDRwLJV65c4cyZMwwaNIgZM2Zw/vx54uPjsbe3Z968eQQFBT2yv5KSElJTU0lPT8fGxoZ58+bh7+/f7rFlZ2dz8OBBBEFgzpw5mJmZsX//foyNjVm4cCGBgYGdeu9wPyP0n//8J46OjqxevbrT+5N0DYPBwOeff45Op+O9997r8uz2nkoul/PVV1+h0+lYvXr1I0t7S0tL2bBhA/7+/ixfvvyh1SCCIJCYmMiZM2cwNTVl7ty5PXbVhkQikUh6D6VSyZUrV0hMTGypPR0VFcWcOXOwsHg+jcsbGxv54osvsLa25s0332xT80WNRsOGDRtoaGjgjTfeeOQzNvmbIuIP3GHqG1HY+cL69etxd3dn1apVj60f3VCl5MK2HEpz6lu+ZmQiw8XHFo9AO9wD7fAKccDGsX3fp84EnB+4fv06J0+e5JVXXiEqqj/leQ3cSa7iTmo1ysb75R+NjGQMmOBD7MwALKyf31xLFEROrkvnblo1s9+PwS/SGYNeoCy3gbtp1dy9VUNzvQYjExmhQ92JnuiLq2/nmkk+TlOdmsP/SKW5Ts30twfgH9XxJvN9PZ4nBZ17gb5+kkokkq6hMwj89VQun1+8Q6i7DR8vHUyoe9d9UKt1BhQaPc42Pbvr89PU19fzj3/8gwkTJjBu3Lgu378oily9epUzZ85gb29PY2Mjfn5+LFiw4LFZFFqtlm+++YakpCS8vb1ZtWpVlwfg7t27x/r16xk3bhwTJkxo+fqDms/9+/fn5ZdfbglwFRcXc/DgQerq6hg6dCiTJ09GrVaTlpZGamoqdXV1mJqaEhERQXFxMQ0NDcTFxTFp0qSnZkfD/UDw6dOnSUhIwNPTkwULFuDsfH/CV1NTw86dO6mtrWXatGkMGzasU5nUycnJHD58mOXLl0v1bnuYgoICNm/ezPjx4xk/fvzzHk63UygUbNy4EblczqpVqx6bOZaUlMSRI0cYM2YMkyZNAu5nbh06dIi7d+8SGhrKnDlzsLXtnosxiUQikfRNcrmcq1ev4u7uzqBBz7/pXn5+Plu3biUmJob58+c/cTyCILBr1y5yc3NZtmxZq3M+wSCw789JNNWpWfKrYdwtyWf37t0MHjyYOXPmPLR/g0Eg9XQxN44VYmwsY8TL/QgY4ExloZzKAjmVhXKqiuTotQLGJka88l9D2hwkrampYdu2bZ0KON8fo4HPP11HfX09zopohEYrTEyN8O/vTPBgN9wCbEn+ppjMq2VYWJkybG4gkaO9MHoOvYASjhRw81ghoxeGEDPp0VWHoihSU9JM1tUysuLL0WsFvEMdiJ7oS0C0y0P1n0VBpKFKSVVRE9XFTVjZmxE+3BMruyffmNCq9GRdKyf5VBF6rcCs96Lx6ufQqffV1+N5UtC5F+jrJ6lEIulal3Kr+cHuVJo1en49J4rFQ307PWEsa1Cx4qsE6pU6Tn1/LC69PPC8efNmioqKiImJYeTIkV3WyMxgMHD8+HGSkpKIiopi/vz5ZGVlceTIEczMzFiwYMEjmbsVFRXs27eP6upqRo4cycSJEzvdqftx9uzZQ25uLu+//z52dnakpKRw6NAhwsLCePXVVx/JxtZqtZw7d47r169jaWmJSqUCwN/fn4EDBxIZGYm5uTlarZazZ8+SkJCAg4MDc+bMeWJN6NraWvbu3Ut5eTnDhg1jypQpj7xntVrNgQMHyMnJISYmhtmzZ3coEC8IAp988gmmpqasXbv2uV88SR61e/ducnNzee+993pVTcL20mg0fP3111RWVrJ8+fKnZvEfOnSIlJQUFi9ejEaj4fjx44iiyPTp03tEIEAikUgkkmfhQSPopzXaPX36NFevXmXGjBkMGzbssa+rLW1m9x9u4BXiQMQoT3JLU7iZmsCsWbMYOnQoAJWFcs5vzab2XjNBg1wZuygUa4dHr38Eg0B1SROHP7uBja01r/5sGMatBHQ1Gg2FhYXcuXOHgoICampqMDc373DA2aAXuJNcRdrZEsrvVdHolI5grGHs0GmMnhyLqfnDc/rqkiau7M6jLK8BJy9rRr8agm+4U7uP21H5SVV882U64SM9mbgi/KlzGLVCR9bVcm5dKKG5ToOdiwURo7zQKHQtgWad5n7zTGNTIww6ASMjGYEDXYga7Y1PuCOybwWpG6qU3D5/j6z4cnRqAx5B9oxbGoqLT+dv3vf1eJ4UdO4F+vpJKpFIul5Vk5of7k7jcl4NI4KcmTfQi6lRHjhZP31Z2n8qqG5mxVeJyFU61HoDMwd48o/Fg7ph1M+OXC7n0qVLpKSkYDAYCA8PZ9SoUZ2q9atWq9mzZw937txh9OjRTJw4sSVruKqqit27d1NbW8uECRMYPXo0MpmMhIQETp8+jaWlJS+99FK3N++rq6vj448/ZuDAgQQFBbFv3z4CAwNZsmTJEwO6RUVFXL16FU9PT2JiYnByan2SWlRUxOHDh6mtrWXw4MFMmTIFlUpFZWVly6Oqqora2losLCyYP3/+E2v5CoLApUuXuHDhAp6enixevLjdJVEyMjLYs2cPCxcuJCoqql3bSp6NhoYGPvnkE4KDg5k8eTJyuZzGxsaHHt7e3owZM6ZNS2tra2u5du0acXFxuLu7P4N38HQGg4EdO3Zw584dFi1a1KYa1jqdjg0bNlBRUYEoivj5+TF//vzH/vxJJBKJRPIiEgSBbdu2UVhYyMqVK3F3d8fExOShZIkHJepiY2OZNWvWU4OaaWdLuLovH1EQERGRO2agNa8n0nksTrbu5CZUYGVnxtglYQQNdH3sfkpLSzlx4gT37t0DwMTYFAdHe2xtbbG1tcXKyory8nJKSkoQBAETExMCAgIICgoiIiKi3TfbVc1aMi6VkX7xHopGLQ7uVkRP8MFngC179u2ivLycmTNntgTPv00URQpSqrm6L5+mWjWRY7wYvzSsUzexDQaBMxsyqS1tJnK0F+EjPB8p4VFd3MT+/0vCxdeG+d8f3K5a2IJBoCC1hlvnSii/04ixiREuvja4+dni6m+Hm78tjh5WNFaryLhSRk58BWqFriVI7eJjQ8blMgpv12BkJKNfrBsxE31x839yDe/26OvxPCno3Av09ZNUIpF0D0EQ2XD1LpvjiyiuU2JsJGN4kBMz+nsyLcoDV9unZyunlzayckMiAF+/HsfpzEr+cTaPDatimRjeM4I5ndHc3ExiYiKJiYmo1Wp8fX0ZNWoUoaGhD9VRfZrGxka2b99OVVUVs2fPbjULQ6PRcOTIEdLT0wkJCQEgLy+P0NBQ5s2b99iGYV3t5MmTJCQkIJPJ8PHxYfny5W0K5LWVTqfjwoULXLt27ZHPNScnJ9zd3VuWbLY1gJyTk8O+ffswMzNj8eLFbc4IEUWRdevWodVqee+999r1fyp5ti5dusS5c+ce+bqNjQ3W1tZUVlbi6OjInDlzHqkx/oBer+fq1atcunQJg8GAi4sLa9eufe61okVR5PDhw6SkpDyxmWdr6uvr2bt3L5GRkYwYMUI6hyUSiUTSJykUCj7//HOamppavmZkZISJiQkmJiaoVCoCAgJYvnx5mxvrGnQC9ZVK6sqbqSyu50rmMfR6LY71gxkwPJDhLwVjbtn66kOFQsHZs2dJTk7G2tqakSNHkpNQTnVFPd5R1mj0KpqammhubsbV1ZWgoCCCg4Px9fXt0LykvkJB6ulichIrMegEfCOdiJnoi1+kU0tGr1arZe/eveTm5jJ69GgmTZrUakBZrzOQcKiA1DMlDJ7uz4j5HUt6EQSRMxsyyLtZhbO3NbWlCkxMjeg31J0B47xx87dDKdey5483AFjw01is7Tu+WlbRoMHC1rTVTPIHDDqBgtRqMq6UUprTAICFjSn9x3rTf5x3p47/OH09nicFnXuBvn6SSiSS7iWKIpnlck7cruD47XIKahTIZBAX4MQrQ3yYNcATa/NHJ1TXC2p54+ub2FuasmVNHEGuNmj0Bmb98wpKjZ5TPxiHTSvb9UYajYaUlBTi4+NpbGzE1dWVMWPGEBUV9cSJq16vJy8vj+PHj6PVann11VefmK0siiI3b97k5MmTAEybNo2hQ4c+02XySqWSjz76CAcHB1auXNltzWFKS0vJzMxsCTS7urq2qdbz41RVVbF9+3aampqYP38+AwYMeOo2D+oAzp07l8GDB3f42JLup9frSU5OxtzcHDs7O+zt7bGzs2spu3L37l2OHDlCXV0dAwcOZOrUqS3d6AEKCws5evQoNTU1REVFERYWxv79+xk2bBgzZsx4Xm8LgPPnz3Px4kXGjh3LxIkTn+tYJBKJRCLprerr68nNzUWv16PX69HpdC1/NzU1ZcyYMQ/NDdqrqqqK9evX4+LiwsyZM3F2dsbS0vKh1xgMBm7cuMH58+fR6XQMGzaMcePGYWFhgapZy47fJmDjaMGC/xrSJXWTKwoaSf6miLu3ajA2MSJ8uAfRE3xx8mo9WeXbpf6io6OZO3duq2X7RFHkwvYcMi+XMXZxKAPGt6/EhyiKXNiaTebVcka8FMzgaf7U3Gsi/WIpOYmV6DUG3PxtEUWoL1fw8o+H4Or3bPtQNFQqqStX4BflhIlp225EdERfj+dJQedeoK+fpBKJ5NkRRZHcymaO3y7nSFoZBTUKrMyMmR3tycJYX2L9HZHJZJzJrOS97cn4OlmxZU0cnvb/nnAlFdWz4PNrrBwRwG/mvljlCgwGA+np6Vy5coXq6mocHR0ZPXo0MTExLRM2URQpKysjLS2N9PR0lEolDg4OLFmypM1L+aurqzEyMmppnPesKRQKzM3Nu612dHdRKBTs2rWL4uJixo4dy/jx45+Y+blp0yZqa2v57ne/2+veq+RROp2Oixcvcu3aNSwsLJgxYwbBwcGcPn2alJQUHBwcmDVrVstKghMnTpCQkMCKFSu6vXTN4zxoCDhw4EDmzZsn1WGWSCQSiaQHy8rKYvfu3S2xGSsrK5ydnXF2dsbR0ZGMjAyqqqoICgpixowZuLo+XHrjQe3i4fODGDI9oENjEEWRovRaUk4VU5bXgLmVCQPG+xA9wQdL26evThRFkcuXL3Pu3DkCAwOZPXt2q9ccgkHgxBfpFN6uYfpb/Qke5Nbm8V3dk0/auRKGzPBn+LyH51galZ6c6xWkXyqlvkLB1DVRhMT2/hWyj9PX43lS0LkX6OsnqUQieT5EUSS5uJ7dN+5x9FYZCq2BQBdrRvdzYXtiMf297Ni4Oq7VOtC/PpTO5utF7H17JEP8X7zGX4IgkJ2dzeXLlykvL8fOzo6RI0ei1+tJS0ujuroaY2NjwsPDiYmJITg4uM1L+SSdo9frOXbsGCkpKURERPDSSy89VB5EFEWampq4e/cuBw4cYNq0aYwYMeI5jljS1SoqKjh8+DBlZWWYmJhgMBgYOXIk48aNe+hc0Ol0fPHFF2g0Gt59991HspW6W05ODjt37iQ4OJglS5ZIvyMkEolEIukF6uvrqayspLa2lrq6Ompra6mtraWpqQl7e3umT59OePjjm+GdXHebu7dqWPT/4h6bkdwaURS5m1pDwpEC6soU2DiaM3CyHxGjPDGzaH/yRGpqKocPH0YQBPz8/Bg0aFBLE/AHdFoDh/+eQnVxM3O/OxCvEIen7jfhcAE3jxcSPcGH0a+GPPb7IIoi6mZdmwLlvVlfj+dJQedeoK+fpBKJ5PlTaPScSK9g980SEu/WMaqfM1+siH1s+YxmjZ6pH17EytyEYx+MxtzkxQymiKJIfn4+ly9fpri4GABfX19iYmKIiop65kEsyX2iKBIfH8+pU6fw9PQkMjKSmpqalodGowHA1taW73znO50q6yHpmQRBIDExkbt37zJhwgQ8PDxafV1ZWRnr168nMjKSBQsWPLPx3bt3j02bNuHq6sqqVaukc1AikUgkkl5Oq9ViYmLy1P4KSvn9Mhv2bpa8/OMhGBk9fZVTeX4D1/bfoaKgEUcPK4bMCKBfrNsT6xe3hVwuJy0tjZSUFOrq6jAzMyMqKopBgwbh6+uLTCZD3axj3/8loWrS8tKPBuPsZfPY/SWfKiJ+/x0iRnoyYXl4Sz3pvqyvx/OkoHMv0NdPUolE0rNUytU4W5th8pRJzrnsSl7fdJPvTQ7he5NDn9Honp/y8nLMzMyeW0kMyaNyc3PZu3cvWq0WW1tbXFxccHFxwdXVFRcXFzw9PaUbA5KWJoWvvPJKm2qBd1ZVVRWbNm3C3NycNWvWYGPz+Is3iUQikUgkL57cGxWc/iqTkS/3Y9BUv8e+rq5cwfWDd7ibVoO1vRlxc4IIH+HRJfWgv00URYqLi0lJSSEjIwOdTgeAsbExxsbGyGRG6NQCMozw8Hbh1UULsbe3x2AQ0Cj0qJq1FKXXEr//Dv1i3ZjyelSbgul9QV+P50lB516gr5+kEomk9/pgRwon0ss59sEYQt2fbXOIjsoql/PRuTxMjY34+6KBUo3VXk6j0SCKYrc1RJT0fgaDgY0bN1JTU8M777yDvb19tx2rsrKSr7/+GiMjI1avXi3dpJJIJBKJpA8SRZETn9+mOLOOIdP9MTU3xsTMGBMzI0xM7/95N62GrKtlmJobM2iaPzGTfDE16/7VoxqNhqysLOrq6jAYDAiCgMFgoLlRzd3bVahNqzHBApfmQegVDwe/AwY4M/3tAZ3OwH6R9PV4nhR07gX6+kkqkUh6r9pmDZM/vEiAizV71o54anZ0dziZXs7htDKGBTozvb8H7natBx9zKpr4x9lcjt+uwMRIhl4Q2bImjjEhrq2+XtJ9NHrDC1uSRdIz1dbW8vnnn+Pj48OKFSueujS2I8rLy9m8eTMmJiasXLkSFxeXLj+GRCKRSCSS3kHRqGH//yUhr1G3+ryRsYz+47yJnRmApU3PqHtcltfApWPJ5DZexcrMjhER07FzsMbCxhRLWzM8+9lLAef/0NfjeVLQuRfo6yepRCLp3Q6k3OP7u9IIdbfhl7Mjn1kQt1Gp49eH0zmYWoa9pSmNqvvLxIb4OzKjvwfT+3vg42hFflUTfz+Tx7Hb5VibmfD6qABWjAhg3sdX8HSwZO/bI6Rs52eoolHN9H9cYna0J7+f11/63kuemZs3b3L06FHGjh3LmDFjMDU17bJ9l5aWsmXLFszNzVm5ciVOTk5dtm+JRCKRSCS9kyiKCHoRvc6AXieg1xrQawX0WgFrB3NsHHtmz4e8vDx27NiBt7c3K1aseKhRs+RhfT2eJwWde4G+fpJKJJLe75uMCv7nWBbFdUomR7jx81mRBLq0vVtze13IqeK/9t2itlnL+xNDeHdCMEW1Sk6ml3P8dgWZ5XIA+rnZcKe6GStTY1aNCuDNMUE4WN2fNG29XsQvDqZL2c7P2C8PprPlehEAa8cF8bMZEc95RJK+QhRF9uzZQ2ZmJtbW1gwbNozY2FisrKw6td+SkhK2bt2KpaUlq1atwsHBoWsGLJFIJBKJRPKcZGRksHfvXoKCgliyZAkmJq03mO+IwsJCHB0du7Xk2bPS1+N5UtC5F+jrJ6lEInkxaPQGNlwp5ONzeWgNAqtGBvCdiSHYW3ZdNmGzRs//HMtiR2Ixoe42/HXhQAb4PDpZKapVcCK9gku51UT7OPDW2CCcrB++Q6/RGxj/fxfwkrKdn5nSBhXj/+88C4b4YmIkY8v1In4yPYx3x/d74nYn0yvYllDEr2ZHEtJLaodLeiZRFCkoKODatWvcuXMHU1NTBg0axIgRI3B0dGx5nSAINDU1IZfLkcvlmJub4+DggIODw0MXXYWFhWzfvh0bGxtWrlz5Qlw8SSQSiUQikQAkJydz+PBhIiIiWLBgAcbGnS+PV1FRwRdffIGdnR1r1qzBzs7uqds0NjZy4cIFRo8e3eP6ZfT1eJ4UdO4F+vpJKpFIXixVTWr++k0uu5NKcLIy46czwlkwxKfTQd2konq+tyuFe/Uq3hobxPcnh2Jh2rmJz5brRfzyYDpb1wxjdIhUf7W7/Wz/LfYllXLhx+PxsLPg+7tTOZRaxn/P78/y4f6PvF6h0fP7o5nsvFGCTAbO1ubsfGs4/dxsnsPoJS+aiooK4uPjuX37NqIoEhgYiE6no7GxkaampsfOy2xtbVuyc7Kzs7G3t2flypXY2ko3RCQSiUQikbxY4uPj+eabbxg4cCBz587tVF8MURTZuHEj1dXVGAwGHB0dWb169RMbgjc2NrJp0ybq6+txd3fnjTfe6NISaZ3V1+N5UtC5F+jrJ6lEInkxpZc28pvDGdwsqmdCmCt/fDkaD/vHTyie5EHDQhsLE/726kBiA7qmXuqDbGdvB0v2SNnO3aq4VsnEv15g2TA/fjuvPwA6g8DbW5I4l1PF3xcNZN5A75bXp5U08L1dqRTWKnhnXDBzB3qxfH0iMhnsfGs4wa5S4FnSNeRyOQkJCeTm5mJtbY2dnR329vbY29tjZ2eHnZ0dGo2G+vp6GhoaaGhoaPm7vb09r776KjY20vkokUgkEonkxXThwgUuXLhA//79mTt3bodrPN++fZt9+/YxZ84c7O3t2b59O/7+/ixbtqzV8h1yuZyNGzeiVCoZNWoU586dIzY2ltmzZ3f2LXWZvh7Pk4LOvUBfP0klEsmLSxBEvo4v5H9PZmNqbMQvZ0eysANZzz/YlcqRW2Uc+2AMoV1cXkHKdn42frQnjSNpZVz6yQTc7f5980GtM7ByQyJJRfWse20I40Ld+PziHf52Ohc3W3M+XDSQ4UH3l9HlVTax5MvrGMlk7HxrOEFS4LnLFNUq+NWhDJYO82NalEebtskql7Phyl38na0Y7OdItK8DNuZdV+9PIpFIJBKJRPL8iaLIlStXOHv2LO7u7ixevPihsmRtodFo+Pjjj7GxseHNN9/EyMiItLQ0Dhw4QP/+/Xn55ZcfyqKWy+Vs2rSJ5uZmXnvtNXx8fDh16hTXrl1jwYIF9O/fv6vfZof09XieFHTuBfr6SSqRSF58hTUKfrL3FomFde3Oer6cV82KrxL5YGI/fjA1rMvHJmU7d7+7NQom/fUCq0cF8svZkY8836TWsfTLBHIrm4jwtCO1pIHZ0Z78z/wB2Fs9vHwut7KJJeuuY2IsY9dbIwjoxoaVfUV6aSOrNiZS06zFxEjGp8sGM/UpgefMMjnL1l9HpTOg1gkAGMkg1N2Wwf6ODPZzZFqUO7YWPWf5o0QikUgkEomk4/Ly8ti3bx8ymYyFCxcSFBTU5m3PnDnDlStXWLNmDb6+vi1fv3LlCmfOnGHEiBFMmzYNuB9w/vrrr2lqamLFihUtrzcYDGzcuJGqqirefvttnJy6ZvVrZ/T1eN6Tgs4dL8QikUgkEkk7BLhYs/Ot4fx6TiTxBbVM+dtF9iXde+p2Kq2Bnx9IJ8jFmncnPLnZXEeZmxjz7vhgbhbVc+1Obbcco6/7x5lczEyMeHtccKvP21qY8vXrcfg6WZFf1cyHr8bw0ZJBjwSc4X5Qc9ubw9AZRJZ8eZ2iWkV3D/+FdiWvhkVfxGNuYsyBd0cS5W3Pe9uTOZdd+dhtHgScLUyN+eZ7Y0n79VS+fj2O9yeG4GprzpG0Mn60J41FX1ynQal9hu9GIpFIJBKJRNJdQkJCePPNN7GxsWHLli1cu3atTcHW2tpa4uPjiYmJeSjgDDBq1Cji4uKIj4/n2rVrNDU1tQScly9f/tDrjY2NWbBgAUZGRuzZswe9Xt/l71HSdaRM5x6ir98ZkUgkfcu3s55/OCWU70zs99js4j+dyObzi3fY+dbwlhIL3UGjNzDuzxfwdbJk91op27kr5Vc1MeVvl3hrTBA/mxnxxNcqNHo0egEn66fXicssk7N0/XWsTI35/pRQzEyMMJLJMDGSYWR0/88gVxsCn0MmtN4gsPvmPUyMZLw61PfpGzyFXK2jSq7p8gaKh9PK+OHuVIJcbPj69Tg87C1oVOlYvj6BnIomvlwZy7hQ14e2+XbAeedbw/F3fvT7KwgiZ7OreG97MqHuNmxbM7zVGwgSiUQikUgkkt5Ho9Fw8OBBsrKyGDBgAHPmzHlinedt27ZRVFTE+++/32rjZUEQ2Lt3L5mZmdjZ2aFSqVi+fDn+/o82GgfIyspi165dxMXFMXPmzC57Xx3R1+N5UnmNXqCvn6QSiaTv0RsEfrLvFvuTS1k7Noifzgh/JNCbWSZnzsdXWDDYh/9dEN3tY9oSX8gvD2Ww7Y1hjOon1XbuKu9tT+ZCdhWX/2tim4LJ7ZFR1sjy9QnUK3WtPm9mbMSutcMZ5Ne+mnOdkXi3jl8dSie7ogmAj5cOYna0V4f3V9qgYvn6BAprFbw/oR8fTArBxLjzi9W+unKX3x/NJC7QiS9fi8Xe8t9B4QallqVfJnCnupkNq4a2/DxklctZ+uWTA87fdj67irVbkgj3tGXLmmEPHUMikUgkEolE0nuJosjly5c5d+4czs7OTJo0iYiIiEeu6XJzc9m+fTtTp05l5MiRj92fTqdj69atlJWVsez/t3ff4VGU6xvHv5PeKwQSQui9t1CkCiKigqJyUERBEez12I8/PcVjPXY9ggqCAooFOwpILwFCh9ADgXTSe9ud3x+JHJBQs8km2ftzXbkSZndnnsTXyeaed5534kSaN29+zuMvXryYjRs3Mn78eDp2PLN9X01x9DxPoXMd4OiDVEQck9Vq8vwPe/gsKo6JfSP459jOODmVnw8tVpNxH6wjIauQZY8OIcDLtmFlZerSbGfTNLFYTcqsJlbTxM3ZySZBpK3tS85h1FtruG9YKx6/sn21HCO/uIy0vOLyn0XFz8RiNSkus/Dwl9spKbPy4wMDCfG9sB7ilyo5u4iXFu/l++2JNAnw5OnR7Zm97igxiTl8fU9/OoX5X/Q+j6TlM/GjKHKLyhjYpgGLdyfTp3kgb0/oQViA5yXVaZomL/+6jxmrYhnVqTFvTeiOh6vzGc/LyC/hlo+iOJqez6dTIvH3dD0ZOC+4q98F99JeFpPCPfO20CnMn8/ujFSPZxEREZF65NChQ/z666+kpaURFhbGiBEjTvZ6Lisr44MPPsAwDO655x5cXM694LTFYqGoqAhv7/O/zywrK2PWrFmkp6dzww03UFpaSl5e3mkfLi4ujBw58qIXPbwYjp7nKXSuAxx9kIqI4zJNk1d+3c+Hqw5zfY8mvHZjV1ycnZi19gj/+CmGd27uwZhulz5L9GL9Mdt58oDmPD26Pe4uZ4Zxf1ZSZiW/uIxAG8/iPVVqThETK2a7lllN/vzrws3FiXaNfOkU5kenMD86hvnTIdQXL7dzv7GrbtM/i2b9oXTWPDmsRi4c/NnepBzGfbCejmF+LLirH24ulxbM707I5t3lBwn19yQiyItmwV5EBHnRNMgLJ8Ng1rojvPP7QcqsJncPbsk9Q1vj6eZMam4RY95dh7OTwQ/3X0awj/tF1T7pk01YTZO5d0TSuYk/i7bF87dFu3FxduLVG7ty5XkW+5IYo18AAEYcSURBVPsz0yy/0DN3Qxy39ovg72M64+x09osraXnFTJgZRWJWIe4uThcdOP9hyZ5k7p23lW5NA5hzRyQ+7vYbl3uTcjialk/XpgGE+Xuc9eJSqcXKlrhMVh84QVRsOlMHtWR0l9AarlZERESk9rNYLOzcuZMVK1aQk5NDixYtGDFiBLGxsfz+++/ceuuttG5t+/V5MjIymDFjBsXFxSe3GYaBj48PPj4+ZGRk4OTkxLhx42jTpo3Nj//H8cBx8zyFznWAow9SEZH3Vxzitd/2M7JjI54e3YGr31lDZIsgZk/uU6MzjsssVl78ZS+z1x2lcxM/3r2551l7ApumybK9qfzzpxjiMwuYEBnBY1e0vahg8UJYrCYTP45i+/EsJg9ogauzcVrvYmcng4z8EvYkZrMnMYesilYThgFNA71wdjIos1qxWP43C9himkzoE8GTo9pV289367FMxn2wnoeGt+GRK9pWyzEuxM87k7hv/lZu6RvBv6/vckn7uPXjjWw+moGLk0F+ieW0x7zdnMkvsTCiQyP+75qORAR7nfb4zvgsbvpwA92bBvD51L64XsCM9G3HMpk8ezOers58PjWS1iH/6313JC2fBxdsY1dCNpP6NePZqztUOlO5Mq//tp/3Vhxi2uCWPF1JS5vKpOYWMWFmFIUllksKnP/w6+4k7pu/jZ4RAXw6JRJvOwTPh1LzuP6DdeQWlS8608DHne5N/ekWHkC3pgGEBXgQFZvB6gMnWH84nbziMlycDLzcnPH1cGXFX4de8oULERERkfqutLSU6Oho1qxZQ0FBAU5OTrRt25YJEyZU2zGzsrJIS0s7GTR7eXnh5FT+fi09PZ2FCxeSkpLC0KFDGTx48MnHbMXR8zyFznWAow9SERGAT9cd4YUfY/CsCNCWPjqY8ECv87yqeiyNSeGvX+2gzGLl3+O6MLZ7k9Mejz2Rxz9+imHl/hO0DvGhT/Mgvoo+jqerMw8Ob8PtA5rbLJx6Y+kB3vn9IK/d2JWbep97UTrTNEnMLmJPQnkAffhEHkZFQO3s9L/PKTlFLNubWm1tL3Ycz+K2WZvwcnPmt0cG42fnlgqv/rqPD1Ye5sXrOzOxb+ULkpzN7oRsrnl3LU9d1Z7pg1uSnl/CsYwCjqUXEJdeQHJOISM7NWZYu5Cz7mPRtnge+XIHt/Vvxj/Gdj7n8TYcTmfqnM0E+7gzb2pfmgad+f9ASZmVV3/dx8drj9C+sS9vT+hBu8ZnLspyqo9Wx/LiL3u5ObIp/76+y0VdbCgqtWCxmlUOin/emcSDX2wjsnkQc++MvKAA3layCkq47v115BWX8cb47sSl57PteBY7jmdx+ET+ac9tEuDJkHYNGdymIQNaB7M1rvwiwMvjujAhMqLGahYRERGpi4qKioiKimL//v2MHz++WttbnE9JSQk//fQTO3fupHXr1owbNw4vL9v9jenoeZ5C5zrA0QepiMgfvoo+zlPf7uK5qzsw+bIWdq0lMauQBxdsIzouk/G9w3lhTCdME95bcYiP18Ti7uLMwyPKA2ZXZycOpebx4s8xrNh/gubBXjx7dUdGdAip0kzitQfTmDRrI+N6hPOf8d1s9r2Zpskzi3axYNNxnhjVjnuH2u52t81HM5gyezOB3q7Mn9qv0tC0plmsJnfO2cy6Q2ksuKsfvZsHXfBrH1iwjZX7Uln39OVVCs///cteZq6O5aVxXbi5kuCyuMzC0pgUHlu4g4ggLz6f2pdGfufuQ71ifyp/XbiD3KIyHhvZlqmDWlbaLuOLTcd46ttdXN01lHcm9DhnS43q9s2WeB77agfTBrfkmdEdauSYpRYrk2dvYvORTBZM60uvZqf/988uLGVXfDYJWQX0ahZEq4bep/1/a5omY99fR2ZBCcsfG1qjYbmIiIiIVI1pmkRHR7N48WL8/PwYP348YWG2aeHo6HmeQuc6wNEHqYjIqfKLy+xy631lyixW3lp2kPdXHqJFA28Kii0k5xRxQ89wnryqXaWL063cX95y4/CJfC5rHcwtkc0Y2KYB/p4XF1im5hQx+p01BHi58cP9l9m8P7PFavLowu18vz2Rv4/pxO0Dmld5n2sPpjF17mbCAjyZN7Uvof6XtthddcguKGXs+2vJK7bw0wMDaex//oUFj2cUMOS1Fdw1uCVPX1W1gNRiNZk8exNRsenMv6sfbUN82Xosk81HM4g+msn2+CxKyqx0aeLPnDsiCbrAHuFpecU8u2gXv+1JoU/zQP5zU/fTWnz8vDOJ+xdsZXCbhnx0W+9a0R7i/77fzdwNcXx4ay9Gdb64vtRVOd7rN3Xjxl7hl7SPZTEpTJ0bXaV9iIiIiIj9xMfHs3DhQvLz85kwYYJN+jw7ep6n0LkOcPRBKiJS2609mMYjC7cT4uvOP8Z2OmOm5J+VWqzMi4rjneWHyMgvwdnJoFdEIEPbN2RYuxDaN/Y95wzoU/s4/3D/QNo2OnfrhEtVarFy77ytLI1JqXKY9vveFO6Zt5WWDbz57M6+NPS1bW9rWziQksv176+jdSNfvpzW77y9kJ//fjfzNx1j7ZOXn3fW8YX4I/hOzC6i1GLFNMHFyaBzE396Nwukd/NAhrYLueAezX8wTZNvtybwwg97sJgmf7u6IzdHNmXVgRPcNTeabuEBfHZnXzzdLm6/1aW4zML4GVHEpubx4wMDL7lP9IX4LCqO577bzfTBLXm6CjOrTdPk6nfWUlhqYekjg3HRbGcRcUBWq8m6w2l0DPWz+RoWIiI1IT8/n88++4ysrCzuvvtuAgICqrQ/R8/zFDrXAY4+SEVE6oIyixVnJ+Oi2mWUWaxsP57Fiv2prNh3gpikHAAa+3lwRcdGjO0eRq9mgWfs82L6OFdVUamFqXOiWX84jfdu6cnoLqEXvY+fdybx0Bfb6Bjmx9w7IgnwurBZuvbw6+5k7v58CxP7RvDiORYWTM8r5rJXljOmWxiv3mi71iaHUvN4c9kB2jfypXfzILo3DbBZGJyYVcjjX+9g3aF0+rcMZtvxTFo28GHBtH4XPdO+usVnFnDNu2sJ9fdk0b0DLjpovxDrD6UxadYmhrZtyMzbele5rcgfY+etv3Tnuh5Nzv+CWsZqNXnu+91Etgg6o0+9iMi5mKbJ0pgU3lh6gH3JuXRu4sfXd1fPuVtEpLqlp6czY8YMQkJCmDx5Mi4u576jNCkpiXXr1tGpUyfatWt32mKEjp7nKXSuAxx9kIqIOIqUnCJW7T/B8n2prDyQSlGplfBAT8Z0C+O6Hk1o28i32vo4n0tBSRmTPtnEzvgsZk7qzbD2Z18U78++25bAowu30zMikFlT+th90cAL8dIve5mxOpa3J3Q/a/j25tIDvP37QZY9OpjWIdUz07w6WK0mn0XF8dLivYT6e7Jwev9aOescyntS3/HpZm7sGc5rN9l2rB9Jy+e699fRyM+db+4ZgK8NxqXVajL6nTWUWqwseWSIXXtjX4qlMSncNbf8vfaDw9vwyIg2Veo5LyL1n2marDxwgjeXHmBnfDbNg724umso7684zA09w3n9pq46j4hInbR7926+/vpr+vfvz5VXXnnW5yUlJTFnzhyKiooACAoKol+/fnTv3h03NzeHz/MUOtcBjj5IRUQcUV5xGUv2JPPd9kTWHjyB1YQOoX6k5hQR6F09fZzPJbuwlFs+iiL2RD6LHxp0QS0PDp/IY/Tba+gREcCsyX1qtN6qKLVYmTAzin1JOfzwwEBaNfQ57fGCkjIue3k5vZoF8fHtlb6HqvVSc4vwcHWu9RcB3liyn3eWH+LVG7oyvk/VZ/VnF5by2+5k3l95iJzCUr6/b+BpPa6r6uedSdw3fyvv3tyDa7vZZgGamnLzzCji0vO5rHUDvtoSz3Xdw3jlxq64u2imooicaf3hNP6z5ABb4jIJD/TkweFtGNejCS7OTifvyPrndZ2Z1K+ZvUsVEbkkP//8M5s3b2bChAm0b9/+jMf/CJzd3d257bbbSEpKYsOGDSQkJODp6Unv3r0ZOXIkVqvVYfO8c4XOakYnIiJiJz7uLozrGc7cOyLZ+MwIXri2I+4uTpRZTT6Y2LPGA1x/T1c+vr03rs4Gjy7cTpnFes7nW6wmj3+1A083Z965uUedCZwBXJ2deO+WHri5OHHfvK0UlVpOe/yr6HgyC0q5e0hLO1VYdSG+HrU+cAZ4aERbBrZuwHPf72ZPYvYl7aOgpIwfdiQydU40ff61jCe+2QnAR7f1tmngDHBV58a0CfHh3eUHsVrrzh8XexKz2RCbzu0DmvPqjV3568i2fLc9kUmfbCKroMTe5YlILbMsJoVbPtpIYlYhL17fmeWPDWV876Yn+9k/PLwNw9o15B8/7mFLXKadqxURuTQjR44kNDSU7777jqysrNMeOzVwnjx5MsHBwXTu3JmpU6dyxx130KxZM9asWUN4eDh+fn72+QZqOc10riU001lERGqL77cn8NAX23n8ynbcN6z1WZ83c/Vh/v3LvnO2qKjtVuxPZcrszUzo05SXb+gKlPfhHvr6Shr5efDNPQPsXKFjSM8r5up31uLm4sS39w6gwQUuTnUgJZd3lx9iWUwKhaUWGvt5cE3XUMZ0D6NLE/9qu+X7j/9H/juxJ1ddQg90e3hs4Q5+2ZVE1NPD8fcqvxjx/fYEHv9qJ+GBnsye0odmwdW3oKOI1C3T5kaz/XgWq58Ydta+zdkFpVz73lqKyyz8+MBAQnyrvuCuiEhNy8jIYMaMGTRo0IApU6bg4uJyRuAcGBhY6WvT09Np27YthYWFFBQU1HDltYNmOouIiMgFG9MtjKu7hvLWsgNnnXl6KDWP15ccYGTHRoypYy0GTjWsXQj3DG3FF5uPs2hbPAC/7E4mPrOQ6YPr7iznuibYx533J/YgJaeIa95Zy5a4jPO+ZtG2eMa+t47VB04wrmcTvpjWj/VPXc7frulI1/CAau0xek3XMFo28Obt3+vGbOfU3CJ+3JHITb3DTwbOAGO7N+HzqX3JKCjh+g/Ws+nI+X/uIlL/5RSVsnL/Ca7pGnbOhQL9vVz58NZeZBeWcv/8bZSe5w4pEZHaKCgoiDFjxpCQkMDvv/9+wYEzQHBwMBkZGRQWFtZgxXWHQmcRERE5jWEY/GtsZwK93Hj0yx1ntJ6wWE3++tUOvNyc+df1nev8AkKPXdGWyOZBPLtoN4dSc5mx6jAtG3ozokMje5fmUHo1C+Lbewfg7urEX2ZE8cnaI5XeAVZUauGZRbt45MsddAn3Z+mjg3nx+i70axmMUw0t7OfsZHD/5a3Zl5zLsr0pNXLMqvg86hglFitTLmtxxmORLYL49p4B+Hm4MH7GBiZ+HMXyfSl1IkwXkeqxZE8KJRYr13Y7/50cHcP8eHlcVzYdyeClX/bVQHUiIrbXqVMnIiMj2bBhA7Nnz76gwFnOT6GziIiInCHQ241XbuzK/pRc3lh64LTHPloTy/bjWfx9TKd6cSuti7MT79zcA09XZybM3MiexBymD25ZYwGm/E+nMH9+uH8gl7cP4Z8/xXDf/K3kFpWefPx4RgE3fbiB+RuPMX1IS+ZP7Wu3MTimWxjNgr14d/mhWt0erajUwryoOIa3D6HFWRYHbdnQhx8eGMiTo9pzODWfOz6NZsSbq/gsKo6CkrIarlhE7O3HHYmEB3rSvWnABT3/uh5NmDygObPWHeH77QnVW5yISDUZOXIkTZo0wdPTU4GzjSh0FhERkUoNaxfCxL4RfLQmlo2x6QAcSi0PoUd1alyn22r8WWN/D978S3fS84tp6OvOdT3qZo/q+sDf05UZk3rx9FXt+W1PCmPfW8e+5ByW70vhmnfXcjQ9n5mTevH0VR1OLmhlDy7OTtwzpBW7ErJZdyjdbnWczw/bE0nPL+HOgWfOcj6Vn4cr9wxtxZonh/H2hO74uLvw3He76f/Scl5evI/dCdm1OlwXqW9KLVbWH04776K+tpaRX8LaQ2lc2y3sou5kevbqDkQ2D+KxhTuYv/FYNVYoIlI9XFxcmDJlCvfff78CZxvRQoK1hBYSFBGR2qigpIyr3l6DxWry8wODuG32Jo6l57PkkSE09L2wxd7qkl92JRHk7Ua/lsH2LkWAqNh0HliwjezCUkrKrHQI9ePDW3vWmgXvisssDHplBW0a+TBvar8q7Wv5vhS+25bIqzd2PWcP1VP9MQvZy82l0sdN0+Sqt9cAsPihQRcVIJmmSXRcJp+sOcKSmGSsJjTyc2dYuxAubx/CZa0b4O1e+XFFpGp2xmfx5De72JuUw9SBLfjbNR1r7NjzNsbx7KLd/PLgIDqG+V3Ua3OKSnlg/jZWHTjB7f2b8bdrOuJqx4uDIiI1wdHzvHMtJKh3iiIiInJWXm4uvDG+Ozd9uJ5r3lvD8YxC3r25R70MnAFGdzl//0qpOf1aBvPzAwN5ZtEuGvl58Nw1HS84kK0J7i7O3DmwBS8t3seu+Gy6hPtf0n5Sc4p45MsdZBeW0iTQkydHtT/vawpLLFz3/joy8kt59+Ye9G915oWS9YfT2Zecy6s3dr3o3uuGYdCneRB9mgeRllfMyv0nWLEvlZ93JvHF5uO4OTvRt2UQD49oS69mmg0kYgv5xWW8sfQAs9cdoYGPO5e3D+HjtUfo1zKYER1rZp2BH3ck0qqhNx1CfS/6tX4ersya3IeXF+/lozVHOJiaxwcTexLg5VYNlYqISG2ny44iIiJyTr2aBXLP0FYczyjkqs6NuaarglmpOSF+Hnx8ex9evL5LrQqc/3BL3wh8PVz4cNXhS3q9aZo8s2g3RaUWhrVryMzVseyMzzrv615evJcDKXm4uzgx8eMo/rvy8BmL/32y9ggNfNyq3AqngY87N/YK5/2JPdn6f1cw/66+3Na/GfuSc3lwwbYzFhsVkYu3cn8qI99czSdrj3BzZATLHhvCBxN70rmJH499tYOErMJqryElp4iNRzIuurXGqZydDJ69uiOv39SN6KOZjH1/HQdTcm1cafWzWE3iMwvILiw968KqVqtJam4RO45nsXhXErPXHeFAHfxeRUSqi2Y6i4iIyHk9NLwt4YFejO4cesl/iIrUR74ertzarxkzVh3mSFr+WRfrO5vvtyeybG8Kz47uwPg+TRn55ioe/2onPz4wEDeXyueHrNyfypwNcdxxWQseHdmWJ7/ZySu/7mNLXCb/uakb/l6uHD6Rx/J9qTw0vI1Nw3pXZycGtGrAgFYNuLx9CLd8vJE5648yfUgrmx1DxJFk5pfwwo97+H57Iq1DfPjq7v70aR508vH3bu7JNe+u5YH5W/lyev9qbVfx884kTBOu6Vr1NRtu7BVOiwbeTP9sC9d/sJ63/tKdvi2DsFrBappYTBOr1cRqcvJri9XEapZ/WKwQ6OVKiF/NLxabXVjKlNmb2HosCwDDAF93F/w8XfHzcMXTzZkTucUkZxdR8qee2x1C/fjlwYF6ryQigno61xqO3gNGREREpK5KzS1i4CsruKFnOC+N63Lhr8sp4oo3V9OqoTdf3T0AZyeD3/emcOecaB4a3oZHrmh7xmsy8ku48q3VBHq58sP9A/FwdcY0TT5df5QXf95LaIAH/53Yiy83H+fLzcdZ99Tl1doOZ8rsTUTHZbL68WEEeusWepGLNW1uNCv2p3LfsNbcM7QV7i5nXiT6aWci98/fxvTBLXl6dIdqq+X6D9ZRXGrll4cG2WyfiVmFTPssmt0JORf9Wmcng+mDW/KgjS+enUtWQQmTPtnEvuQcHh7RFncXJ3KKysgpLC3/KColv9hCQ193QgM8aBLgSai/J2EBHkQfzeT5H/bw6ZQ+DG0Xct5jFZVaeHPZAcZ2a3LR/bNFpPZw9DxPPZ1FRERERKpJiK8HN/QM55ut8TxyRRtCfM8/M+/Uthqv3dQNZ6fyP1iGd2jEdd3DeH/FIUZ1bkyHUL/TXvPUNzvJLihlzpTIkyGMYRhMuawFXcMDuH/+Vsb9dz0GMLZ7WLX3X396dAdGvbWad5Yf5PlrO1XrsUTqm71JOSyJSeHhEW14eMSZF5n+cE3XMDYcTmfG6lj6tgzi8va27+98PKOAbceyLqin/MUIC/Dkq+kD+GZrPEWlFgzDwNkoD5QNw8DZycDZMDAqtjkZBk4V21bsT+WDlYf5dXcyr9zY9bQZ4NUhPa+YiR9vJDYtnxmTel30z7lNiC8frjrMf1cevqDQec76o8xYFcuCjcf47M6+dGsacImVi4jUTurpLCIiIiJSRdMHt6TMYmX2uqMX9Pw/2mr8dWQ7WjX0Oe2x56/tRICXK49/vYOyU27d/io6niUxKTx+ZbtKZ8X1ahbITw8MpG+LICxWkzsGtqjS93Qh2jby5S99IvhsQxxH0/Kr/Xgi9cn7Kw7h4+7C5AHNz/vc567pSIdQPx5buIOkbNv3d/5pZxJAtazb4OnmzK39mjF1UEvuHNiCyZe1YFL/5tzarxk3R0Ywvk9TburdlHE9w7muRxPGdAvj6q6hvH5TN+beEUmJxcpNH27g/77fTV5xWaXHyC4sZf3hNI5nFFxSjak5RUyYGcXR9Hw+ub33JQX7bi5OTB3Uko1HMtgSl3nO52YVlPD+ikNENg/C38uVWz/eeN7XiIjUNVUKnQ3DeM0wjH2GYew0DGORYRgBpzz2tGEYhwzD2G8YxpVVrlREREREpJZq3sCbqzqH8vmGOHKKSs/53NScIp7/YQ89IwIqDYYDvd34x9jO7E7IYeaaWADi0vN54cc99G8ZzJ3nCJODfdyZMyWS9U9dftos6er0yBVtcHNx4tXf9tXI8UTqg8Mn8vh5VxKT+jcjwOv8rWk8XJ35YGJPSsqsPDB/22kXpGzhxx2J9IgIoGmQl033W1WD2zbkt4cHM+Wy5nwWFcfIN1axNCaFTUcy+HhNLA8u2Maw11fS7e9LuOWjjYx6azVb4jIu6hhJ2YX8ZWYUCVmFzJ4cyaA2DS+53gl9mhLg5XrexWX/u/IwucVl/H1sJ76c1p9gHzdu+2QjG2PTL/nYIiK1TVVnOi8FOpum2RU4ADwNYBhGR2AC0AkYBXxgGEbtW25cRERERMRG7h7SitziMuZvPHbW5/zRVqPwT201/mx0l1BGd2nMW0sPlvcW/XI7zk4G/xnfDaezvOYPTk5GjS6+FeLrwfTBrfhlV/JFhz0ijuqDFYdxd3E650WkP2vRwJt/j+tCdFwmd8yJ5qedieSfZebvxTiUmkdMUg7X2mABwerg7e7C89d24uu7B+Dt7sJdc6MZP2MD//p5L9FHM2jbyIfHr2zHzEm9CPHz4LZPNl3wueh4RgHjZ2zgRG4xc++IpH+r4CrXenv/5iyNSeFASm6lz0nIKmT2+qOM6xFOh1A/wgI8+XJ6fxr7ezB59mbWHUqrUg0iIrVFlUJn0zSXmKb5x2+5KCC84uuxwBemaRabpnkEOAREVuVYIiIiIiK1WZdwfy5rHcystUcoLrOc8bhpmny1Jb6irUbbM9pq/Nnfx3TGy92Zm/67gW3Hsnjx+i6EBXhWV/lVctfgFoT4uvPiz3sddiEdkQt1PKOA77YncEtkMxr4XFzf9bHdm/DEqHbEJOZw//xt9PznUqZ/Fs132xLOe5fF2fy0MxHDgKurobWGLfVqFshPDw7kjfHdmDW5N5ufHcH6p4czY1Jv7hvWmpGdGrPgrn6E+Hlw+6zN521XsTQmhRs/XE92QSmfT+1Lbxv1jL59QHM8XZ3POtv5zaUHAHh05P/6eDfy8+CLaf2JCPLijk83s+rACZvUIiJiT7bs6XwHsLji6ybA8VMei6/YJiIiIiJSb909pBWpucUs2poAlAfN249n8fLifQz/zyqe+HonPSMCuHNgy/Puq6GvOy9c24nc4jKu6x7GmG61cxYigJebC4+NbMvWY1n8ujvZ3uWI1Gr/XXUYZ8Ng+pDznwcqc+/Q1mx8ZjhfTuvHzZERbD+excNfbqf3P5cx8eMonvpmJ28tO8AXm46xcn8q+5JzyC6oPJA2TZMfdyTSt0UQjWrwDolL5e7izLie4VzevlGlC6U29vdgwV39aODjxu2zNlUaPCdnF3H3Z1u4a240AZ5ufDGtP91tuIhfkLcbEyKb8sP2ROIzT+8xvS85h2+2xjN5QHOa/OkiYkNfdxZM60erhj7cNSea5ftSbFaTiIg9GOebiWAYxjKgcSUPPWua5vcVz3kW6A2MM03TNAzjPSDKNM3PKx7/BFhsmubXlex/GjANICIioldcXFxVvp86yzDKb5PUzBARERGRuss0Ta59by25RWUMaxfCb3uSScouwsXJoH+rYK7s1Jgx3cPw83C94P1tOpJBt6YBeLjW7m51FqvJ6LfXUFRmYekjQ3Bz0ZrlIn+WlF3IkFdXMr5POP+6rotN9mm1mmw7nsniXclsPJJBck4RaXnF/PlPy/BAT3o3C6R38yB6Nw+kbYgv+5JzGf3OGl68vjMT+zazST21QXJ2ERNmbiAtr4S5d0bSMyIQi9Xk86g4XvttP6UWKw+NaMNdg1ri6mz7c1ViViGDX13Brf2a8cKYTie33/HpZjYfzWDNE8PO2ss7q6CE22ZtYn9yLl9M60ePiECb1ycituPoeZ5hGFtM0+xd6WNV/aEYhjEZmA4MN02zoGLb0wCmab5U8e/fgBdM09xwrn317t3bjI6OrlI9dZWjD1IRERGR+uKXXUncO28r7i5ODGnbkFGdGzO8fSP8vS4saK7LVu5PZfLszTx/bUemXHbhvWpFHMULP+zh86g4Vvx1aLUu2ldSZiU1t4iUnCKSsouIzyxkx/EsouMyOZFbDICvhwtB3m7EZxay+dkRBHmff0HDuiQpu5AJM6PIyCvhhTGdmBsVx47jWQxq04B/XdeZZsHe1Xr8v361g592JrL+qeEEebsRFZvOhJlRPDmqPfcMbXXO16bnFXP9B+vJLy5j0b2XERFcuxZ4FJH/cfQ8r9pCZ8MwRgFvAENM0zxxyvZOwHzK+ziHAb8DbUzTPLO53SkUOjvuIBURERGpL0zTZGd8Nm0a+eDl5mLvcmqUaZrcNmsTO+OzWfrI4Bpd0FCktjuRW8zAV5YzplsYr93UzS41mKbJsYwCoo9mEh2XyZa4DHo1C+KlcbaZdV3b/BE8x6UXEOztxnPXdGRs97CTf39Xp0OpuYx4YzUPDm/DIyPacN0H60nJLmLl40Mv6M6VwyfyGPfBehr4uPHtPZc5xIVLkbrI0fO86gydDwHuQHrFpijTNO+ueOxZyvs8lwEPm6a5uPK9/I9CZ8cdpCIiIiJSPxxKzeOad9fQp3kQc6ZE4uRU/eGOSE3aGJvO4RP5jOgYQojvhV9YeWnxXj5aHcuyR4fQ8jwLiYrtJGcX8cOOBMb3bnrWlhbVZdrcaDYeyeBvV3fg8a938uoNXRnfp+kFv35jbDqTPtlEz2YBzLkjEneX2t1mScQROXqeV63tNWxJobPjDlIRERERqT/mbYzj2UW7+dvVHZg66NIWSxOpjdYcPMGdn0ZTYrFiGNArIpBRnRszqnNjwgPP3gIhM7+Ega8sZ3iHRrxzc48arFjsaeuxTMZ9sB5nJ4NWDb1Z/NBgnC/yQtz32xN46IvtXN+jCW+M71Yjs7RF5MI5ep53rtDZse73ExERERGRandLZAQr95/g1V/3079VMJ3C/O1dUp30WVQcv+1Opl1jXzqG+tExzI9WDX20SKOdbDqSwV1zo2nZ0Jt/j+vC2oNpLN6dzL9+3su/ft5Llyb+DGsfQkNfd7zdnPFyc8HH3QUvd2d+3JFIfomF+4a1tve3ITWoZ0Qg/VoGERWbwRNXtr/owBlgbPcmHM8o4PUlB2ga5MWjV7SthkpFRGxPM51rCUe/MiIiIiIi9UtGfgmj3lqNn6crP94/EE833RZ+MdLyihn0ygq83V3ILSqluMwKgKuzQZsQX/o0D+TJq9o7XN9we9lxPIuJH28kxM+dhdP708DH/eRjR9Py+W1PMot3J7P9eNZZ93Flp0bMmFTpZDCpx/Yn57LqQCp3DWp5ybOUTdPkyW92sjA6ntdv6saNvcJtXKWIXCpHz/PUXqMOcPRBKiIiIiL1z5qDJ5j0ySZu7RfBv66rnwuVVZd//hTD7HVHWPboECKCvDiank9MUi4xiTnEJOWw+sAJnhjVjnuHauZsddublMOEmVH4ebrw1fQBNPY/ex/nwhILecVl5BeXkV9SRn6xhfySMgpLLPRrGUyQd832FJb6o9RiZcrszWyITeeeIa14YHhr9XgWqQUcPc9T6FwHOPogFREREZH66cWfY/hozRE+vq03Izo2snc5dUJydhGDX1vBmG5hvH5Tt0qfc9usTexJyGbtk5drFnk1Onwij7/M2ICLkxNf3d2fpkFn79ssUt1yi0p54YcYvtkaT+sQH165oSu9mgXauywRh+boed65Qmc1AxMRERERkWrz1yvb0THUjye+2UlqTpG9y6kT3l9xCKvV5KHhbc76nPuHtSY9v4QvNh+rwcrqn01HMnh04XZeXryP+RuPsfZgGsfSCyi1WDmeUcDEjzZimvD51L4KnMXufD1c+c/4bnw6pQ+FJRZu/HA9f/9xDwUlZfYuTUTkDJrpXEs4+pUREREREam/DqXmcs27a+nTPIg5UyJxuoTFtBxFfGYBw15fyU29m/Lv68/dkmT8hxs4nlnAqseHaXHBS7B4VxIPfbEdd1cnikotlFr+97eYs5OBm7MTbi5OLLirHx3D/OxYqciZ8orLePXXfczdEEfTIE9eHteVy1o3sHdZIg7H0fM8tdeoAxx9kIqIiIhI/fZ5VBx/+243EUFejO4SytVdQuncxO+SF9aqr578eieLtiew6vGhhPp7nvO5qw6c4PZZm3h5XBcmREbUUIX1w+dRcTz3/W56RgTyye298fVwJSWniGMZBRxLL+BYRgEncouZ1L8ZnZv427tckbPadCSDJ7/ZyZG0fNo18qVjmB8dQ/3oGOZHh1A/9REXqWaOnucpdK4DHH2QioiIiEj9Zpom321PYNG2RNYdSsNiNYkI8uKqLo25uksoXZr4O3wAfTQtn+FvrGJSv2a8MKbTeZ9vmiZj3ltHTlEpvz86BBdnzXY+H9M0eWvZQd7+/SDD24fw3i091RNb6ryiUgufrj/K5iMZxCTlkJT9v1ZGjf08uLZbKM+M7uDw51iR6uDoeZ5C5zrA0QepiIiIiDiOzPwSlsQk8/OuZNYfSqPMahLo5UqHUL9TPnxpHeKDu4vjBIKPfLmdxbuTWP3EMEJ8PS7oNb/uTubuz7fw9oTujO3epJorrNssVpPnvt/N/I3HuKlXOC+N66KgXuqljPwS9iblEJOYQ1RsOr/vS+Xf13fhlr66I0LE1hw9z1PoXAc4+iAVEREREceUVVDCkpgUthzNZG9yDvuTcykuswLg4mTQMyKQj27rjb+Xq50rrV4HU3IZ+dZqpg1qydOjO1zw66xWk1Fvrwbg14cGq1/2WRSVWnj4i+38uieZe4e24vEr22nWpzgEq9Xk9tmb2Hw0g58eGETrEB97lyRSrzh6nqfQuQ5w9EEqIiIiIgJQZrFyNL2AvUk57E7M5qPVsUzq14y/j+1s79Kq1X3ztrJyfyprnrz8onuwfrctgYe/3M6Ht/ZiVOfG1VRh3VFqsRKXns/+5Dz2p+RyIDmXXQnZJGQV8n/XdOSOgS3sXaJIjUrJKWLUW6tpEujJt/dcpoVHRWzI0fO8c4XOLjVdjIiIiIiIyNm4ODvROsSH1iE+XNstjIJiC59FxTEhMoIOoX72Lq9a7EnM5uddSTx4eetLWvTrmq6hvLH0AO+vOMSVnRo57Aze3QnZPLtoF3uTcimxlM+WdzKgebA3XZr48/y1HRnZSaG8OJ5Gfh68fENXpn+2hf8s3c/TV1343RR/OJZewMdrY0nMKuQ/47vj71m/7z4RkapT6CwiIiIiIrXWYyPb8tPORJ7/YQ9fTutX7wJV0zR5Y8kB/DxcuHNQy0vah4uzE/cMbcXT3+5i9cE0hrRteEGvK7VYWRqTwq+7k2kf6svIjo1o1dCnTv6Ml+xJ5qEvthPg5cqUgc1p18iXto3K+4J7uDpOX3CRs7myU2Nujoxg5upYhrRpyIDWDS7odbvis/lw9WEW70rC2cnANGHqnM3MvaOvFuEUkXNSe41awtGn44uIiIiInM28jXE8u2g379zcgzHdwuxdjs3kFpXy5Dc7+WVXMk+Mase9Q1tf8r6KyywMeXUlEUFeLLy7/zmfeyK3mC82HWPexmMk5xQR4OVKVkEpAC0aeHNFx0aM7NiIHhGBODsZ5BaVsi85l5jE8oXJYpJysFhN3r2lB60a2rc/rGmafLL2CC/+speuTfz56PbeF7wIo4ijKSgp45p311JQbOHXhwcR4FX5nRWmabL6YBozVh1m/eF0fN1duKVfBFMGtCA6LoMHFmxjWLsQZkzqhasW4xQH5+h5nno61wGOPkhFRERERM7GYjUZ+/5a0nJL+P2xIXi71/0bNvcm5XDvvK0cyyjgiSvbMW1wyyrPMJ697gh//zGG56/tSMuGPvi4O+Pj7oq3uzO+7q4cTstj7vqj/LwriVKLyaA2Dbi9f3OGtQ8hNbeIZTEpLIlJISo2nVKLSbC3G97uLhzLKDh5jCBvNzqF+bE3KQcXJye+urs/TYO8qvrjqFRBSRmuzk5nDbVKLVae/2EP8zce46rOjXljfHfNvBQ5j90J2Vz/wTpGdGjEBxN7npZFHEjJ45ddSfy0M5HDJ/Jp5OfOnQNbMCEyAj+P/7XTmL/xGM8s2sV13cN4Y3z3OrmAaVGphdScYiKCq3b+Ssou5J8/xbAxNoM7BrbgzoEt6vTdFT/uSOQfP8XQIdSPHk0D6BERQI+mgact5muaJidyi4lJKr8IuTcpl8KSMsIDvQgP9Kz4KP/a39O1Tt49czEcPc9T6FwHOPogFRERERE5ly1xGdzw3w3cO7QVT4xqb+9yqmTh5uM89/1u/D1dee+WnkS2CLLJfgtLLFzx5iriMwvP+hwfdxdu7BXOpP7NzjpLOaeolJX7T/D73hTKLCYdw/zoGOpHxzA/QnzdMQyDvUk5TJgZhb+nK1/d3Z9GfradXZxdWMoVb6yioMRCv5bBDG7bgEFtGtI82AvDMMgpKuW+eVtZczCNe4a24vGR7epk8CViDx+uOszLi/fxyg1d6NIkgMW7k/hlVxKHT+RjGBDZPIgbe4UztnuTsy46+P6KQ7z2234mD2jO89d2PCNYLCmzsmhbPDNWxdIs2IuPbuuNSy2aFf3Mol3M33iMy9uH8ODwNnRvGnBRry+1WJm19ghv/34Qi9WkR0QAUbEZNAv24rmrOzK8Q0idC1uLSi0MfW0lzk4Gvh4uHEjJxVoRUbVqWN4bPz2/hL1JOaTllZx8XZMAT3w9XIjPLCSvuOy0ffp6uNC9aQC9mwXRu3kg3ZsGnPXCcVGpheTsIjxcnWnsX3fuWHH0PE+hcx3g6INUREREROR8Hl24nZ92JLHkkcE0b+Bt73IuWmGJhf/7fjdfbYlnQKtg3p7Qg4a+7jY9Rn5xGcczC8gvLiO3qIz8Ygv5xWXkFZfh4+HC6C6h+Nhopvj241lM/CiK0ABPvpzWj2Af230v//gxhtnrjzCuRzibjqZzPKM8SA8P9GRQmwZEH83kSFo+/76+C+P7NLXZcUUcgdVqMvHjjWyITQfKF9zs1zKYq7qEcmWnRhfUosY0TV78eS8frz3CwyPa8PCItkB5cPjFpmPMXB1LYnYRLRt4E5uWz7TBLXlm9MUvYFgd0vKKGfDycto39uVYRgFZBaUMaduQB4e3oVezwPO+Pio2nee+283B1DxGdAjh+Ws70TTIizUHT/D3H2M4lJrH0HYN+b9ryu86qStmrDrMS4v3seCufvRvFUxecRk747PYdiyLbccy2Z2QQ7CP28mLkB1C/ejQ2O/kLGjTNMkpLP8dFJ9ZSHxmAbFp+WyNy2R/Si6mCc5OBh1CfekZEYiTYZCUXUhiVhFJ2YUng2wnA8b3bsrDI9rWifDZ0fM8hc51gKMPUhERERGR80nNLeLy11cR2SKIWZP72Luci5KQVcidn25mf0ouDwxrzUMj2uJcD2bmRsWmc/usTbRq6MOCaf3w93Q9/4vO41BqLqPeWsNNvZvy0rguAMSl57P6YBprDpxgw+F0nJwM/jux5wUvhiYip0vOLuL1JfvpGRHIyE6NaHAJF41M0+Txr3fy9ZZ4nhndHqsJH685QlpeMX2aB3LfsNYMaduQ53/Yw9wNcbWmL//byw7y5rIDLHt0CI39PfhsQxwfrYklI7+EQW0acO/Q1jQL9sJiNcs/zPLPxaVWZq07wqJtCYQHevLCtZ0Y0bHRafsutViZs/4oby87SFGZhTsGtuD+Ya3x9aj6ubE6ZReUMujV5fRsFsinUyJtv//CUrYdy2RLXCbRRzPZfjwLZyeDUH8PwgI8CQvwINTfk1B/D2KScvg8Kg4nw2DyZc25d0jr09p71DaOnucpdK4DHH2QioiIiIhciI9Wx/LiL3v55PbeDO/Q6PwvqAVKLVbGz9jAwZQ83rulB0Pbhdi7JJtauT+Vu+ZG07mJP5/f2bdKPbdN0+T22ZvZdiyTlX8dWuns6TKLFRO0gJlILVBmsXLvvK0siUkBYFCbBtw/rDV9WwaffE5JmZVbPopiT2IO3947gA6hfufcZ0Z+CQGertXSMqeo1MLAV5bTNTzgtIuX+cVlzNsYx8zVsae1jvgzN2cnpg9pyb1DW5+zh3xqbhGv/bqfr7bEE+Dlyl2DWnL7gOY2u9PE1l5avJeZq2P5+YFBdAw7938fWzBN85ztR45nFPDm0gMs2p6Ar7sL9wxtzZTLmuPsZHD4RB4xiTnsqVjcdn9KLkPaNuT1m7rZ5WKuo+d5Cp3rAEcfpCIiIiIiF6KkzMpVb6+mzGry28OD68SCTa//tp/3Vhzi3Zt7cG0tmOVXHX7dncR987cR2TyItyd0J+QSezz/vjeFO+dE89w1HblzYAsbVyki1aGo1MLsdUcZ0CqYbmfpjZyaW8S1767F3cWZH+6/jAAvt0r38+7yg3y4KpYbe4bzyo1dbV7rws3HeeKbncyb2pfLKrlTorDEwpKYZApLLDg5Gbg4GTg7GTgZ5Z+7NPG/qMVTdydk8+bSA/y+L5UgbzemDW7Jbf2b4eVWveGzaZqsO5TOV1uOc/eQVucM+pOyCxn62kqu7hLKG3/pXq11Xay9STm89tt+lu9Lxd/TlcISCyUWKwDuLk60D/Wjka87S2JSmNSvGf8Y26nGe2k7ep6n0LkOcPRBKiIiIiJyodYcPMGkTzYR5u9B35bB9GkeRGSLIFo19K51CzdFxaZz80dR3NgznNdu6mbvcqrVom3xPLpwB6YJjfzc6dLEn85N/OkaXv75fH1iS8qsjHxzFc5OBr8+PFgzmUXqmS1xmUyYuYEBrRowa3Kf02albj2WyRNf7+RQah6dwvzYk5jDKzd04S99Imx2fNM0ufKt1TgZBosfGlSjvy+2H8/izaUHWHXgBA183Jg+uBW39mt2ztnSl2pLXAav/bafqNgMAIK93fhiWj/aNPKt9PlPfr2TRdsS+P2xIRcVqNekjbHpfLH5OCG+7nQM86NTmB/Ng71PLk750i97mbE6lqeuas/dQ1rVaG2OnucpdK4DHH2QioiIiIhcjO+3J/Dr7mQ2H804eSt0sLcbvZsHMqpzY67r3sTuAXRWQQlXvb0GD1dnfnpgYJXaTtQVexKziYrNYHdCNjvjs4hNy+ePP3G6Nw3gnQk9iAiuPNT4YxGrOXdEMqRtwxqsWkRqyryNcTy7aDf3DWvF41e2p7DEwn+W7OeTdUcI9fPg3+O6MKhNQybP3sTGIxl8e88AOjfxt8mx/7hg+fpN3bixV7hN9nmxtsRl8ObSg6w9lEaglyvj+zTl1r7NbBL27k7I5j9L9rNi/wka+Lhz/7BW9G/VgFs/2YgBLJze/4xFeA+m5HLlW6uZPKAF/3dtxyrXYC9Wq8lDX27nxx2JvD2hO2O7N6mxYzt6nqfQuQ5w9EEqIiIiInIpTNPkSFo+m49msPFIBhtjM0jIKmRYu4a8ckPXS27zcL5j5haX4XeOhaFM0+Sez7fy+74Uvr3nMrqE2yY0qWvyisuIScxh67FMPlhxCBN4/aZuXNmp8WnP+2ORyL4tgvikji0SKSIXzjRNnv52F19sPs4jI9ry7bZ44tILuLVfBE+Oan9ywb2M/BKueWcNTk4GPz0wsNJ2HBfr9lmb2JOYw7qnhuHuYt/WTJuOZPDJ2liWxqRgAsPbhzCpf3MGtW5wUb2s0/OK2RmfzVdbjvPLrmT8PV2ZPqQlkwc0P9nC40BKLhNmRuHh4sTCu/sTHvi/gPuuudFsOJzO6ieGEeRd9Z+xPRWXWbjtk01sPZbJnDsiGdCqZhaadfQ8T6FzHeDog1RERERExBasVpPPouJ4afFePFydefG6LlzdNbRK+zyRW8yuhCx2xmef/EjLK+ay1sE8Oao9XcMDznjN/I3HeGbRLp4Z3Z5pg2v2Vt/a6nhGAffN38rO+GymDmzBk1e1P9lC4/GvdvDd9gSWPDKEFn+aiSci9UtxmYXxM6LYcTyLiCAvXrmhK/1bBZ/xvG3HMhk/YwMDWzfgk9v7VGlhwQMpuYx8czWPXdGWB4a3qUr5NpWYVcj8jcdYsOkY6fkltGjgzU29w2kS4Im3mwte7s7ln92c8XB15nhGATsr7iTZcTybhKxCALzdnLlzYAvuHNQSf88zL4juSczm5plRBHi5sXB6fxr7exB9NIMbP9zAX0e25f7La8/PpCqyC0q58cP1JOcU8fXdA2jXuPKWIrbk6HmeQuc6wNEHqYiIiIiILR0+kcejC3ew43gWY7uH8Y8xnfH3OvvM5D8rKCnjw5WH+XpLPInZRQAYBrRu6EPX8AAa+bmzYNMxMgtKubpLKH+9st3JsPRQai7XvLuWPs2DmDMlskpBSX1TXGbh3z/vZc6GOHpGBPDeLT05kVvM2PfXMX1wS54e3cHeJYpIDTiRW8xve5IZ17PJORfV+2zDUZ77fk+Vw+KnvinvW7zh6eG1ckZvcZmFxbuSmbvhKFuPZZ33+U2DPOkaHkC3cH+6NAmga7j/eVs4bT+exa0fbyTEz50vp/Xnns+3EJdRwKrHh1b7woY1KSGrkOvfX4eLk8G3915GY3/b3/F0KkfP8xQ61wGOPkhFRERERGytzGLlg5WHeef3gwT7uPHqjd3O2yvYNE1+2pnEv3/ZS1J2EcPbh9C/VfDJRfFO/aM+t6iUj1bH8vHaIxSXWZnQpyl3D2nFtM+2kJJTxK8PDaqW9h71wY87Ennqm524uTjRwMedzIJSVvx1yMlb60VEoPyc/MiX2/l+RyJz74hkUJuL7/eenldM/5eXc0PPcF4a16UaqrSt1NwicovKKCi2kF9SRkFJGfnFFgpKymjs70nXJv4EXmJwvvloBrd9sglfDxdSc4v513WdubVfMxt/B/a3JzGb8R9uoGmQFwvu6nfJP68L4eh5nkLnOsDRB6mIiIiISHXZFZ/NIwu3cyg1j9YhPozq1JhRnRvTKczvtMUGYxJzeOHHPWw6kkHHUD9eGNOJyBZB593/idxi3l1+kPkbj2ExTUwTZk3uzeXtG1Xnt1XnxZ7I4955W9mXnMurN3ZlfO+m9i5JRGqhgpIyrnt/HSdyi/nh/oE4OxkkZBWSmFVIQlYhCZmF5BaVMbpLKFd0bITzn+4ueXvZQd5cdoBljw6mdUj1t1uo7dYdSmPKp5tpEuDJkkcGn2xzVN+sPZjGHXM20yLYm8+n9qWhr3u1HMfR8zyFznWAow9SEREREZHqVFRq4avo4yzenczGIxlYrCZNAjy5slNjLm8fwq97kpi/8Rj+nq48fmV7/tKn6RnBxfnEpefz7vJDtGjgzX3DWlfTd1K/FJZY2HoskwGtgk+7ACAicqrDJ/IY+9468orLzngswMsVFyeDtLwSmgZ5MnlAC8b3DsfXw5WiUgsDX1lOlyb+zJ4SaYfKa6eDKbl4ujmftqhgfbTuUBpT50QT6u/BvLv6EurvafNjOHqep9C5DnD0QSoiIiIiUlMy80tYtjeF3/Yks/pgGiVlVpydDCb1a8YjI9peVO9nERGpGduOZbJiXyqN/T0JC/AgPNCTUH9PvN1dKLNYWRqTwqx1R9h8NBMfdxdu6h1OoJcbbyw9wOd39mVgmwb2/hbEDqKPZjB59mYCvV2ZP7UfTYNsG7Q7ep6n0LkOcPRBKiIiIiJiD3nFZaw/lEbLhj60DvGxdzkiIlJFO+OzmL3uKD/tTKTUYtK+sS+LHxqkuykc2I7jWdw2axNebs7Mv6vfyYV/bcHR8zyFznWAow9SERERERERERFbSckp4ust8QxoFUyPiEB7lyN2FpOYw6RPNuLkZDBval/aNrJNf29Hz/POFTrXz27hIiIiIiIiIiLisBr5eXDfsNYKnAWAjmF+fDm9Hwbwlxkb2JOYbe+S6j2FziIiIiIiIiIiIlKvtQ7xZeH0/ni6OjPx443EJObYu6R6TaGziIiIiIiIiIiI1HvNG3jzxbT+eLk6M/HjKAXP1Uihs4iIiIiIiIiIiDiEiGAvFkzrh4eC52ql0FlEREREREREREQcRrNgb744JXjem6Tg2dYUOouIiIiIiIiIiIhDaRbszYK7+uHuUt7jeV+ygmdbUugsIiIiIiIiIiIiDqe8x3M/3JyduOUjBc+2pNBZREREREREREREHFLzBt4sqAiex32wns+j4jBN095l1XkKnUVERERERERERMRhtWjgzbf3DqBnRCB/+243t83aRGJWob3LqtMUOouIiIiIiIiIiIhDCwvw5LM7I/nndZ3ZEpfJlW+u5qvo45r1fIkUOouIiIiIiIiIiIjDMwyDSf2asfihQXQI9ePxr3dy19xoUnOL7F1aneNi7wJEREREREREREREaotmweULDM5ad4TXftvPoFdWEODliquzU8WHgauz5vKei0JnERERERERERERkVM4ORlMHdSSoe1CmLcxjsISCyUWK2UWk1KLlVKL1d4l1mpGbepL0rt3bzM6OtreZdiFYRgA6hMjIiIiIiIiIiJSBzh6nmcYxhbTNHtX9pjmgYuIiIiIiIiIiIiIzSh0FhERERERERERERGbUegsIiIiIiIiIiIiIjaj0FlEREREREREREREbEahs4iIiIiIiIiIiIjYTJVCZ8Mw/mkYxk7DMLYbhrHEMIywiu2GYRjvGIZxqOLxnrYpV0RERERERERERERqs6rOdH7NNM2upml2B34C/q9i+1VAm4qPacB/q3gcEREREREREREREakDqhQ6m6aZc8o/vQGz4uuxwFyzXBQQYBhGaFWOJSIiIiIiIiIiIiK1n0tVd2AYxovAbUA2MKxicxPg+ClPi6/YllTV44mIiIiIiIiIiIhI7XXemc6GYSwzDGN3JR9jAUzTfNY0zabAPOD+iy3AMIxphmFEG4YRfeLEiYv/DkRERERERERERESk1jjvTGfTNEdc4L7mAb8AzwMJQNNTHguv2FbZ/mcCMwF69+5tVvYcEREREREREREREakbqtTT2TCMNqf8cyywr+LrH4DbjHL9gGzTNNVaQ0RERERERERERKSeq2pP55cNw2gHWIE44O6K7b8Ao4FDQAEwpYrHEREREREREREREZE6wDDN2tPRwjCME5SH1/VZAyDN3kWIw9L4E3vR2BN70dgTe9L4E3vR2BN70dgTe9HYE3ty5PHXzDTNhpU9UKtCZ0dgGEa0aZq97V2HOCaNP7EXjT2xF409sSeNP7EXjT2xF409sReNPbEnjb/KVamns4iIiIiIiIiIiIjIqRQ6i4iIiIiIiIiIiIjNKHSueTPtXYA4NI0/sReNPbEXjT2xJ40/sReNPbEXjT2xF409sSeNv0qop7OIiIiIiIiIiIiI2IxmOouIiIiIiIiIiIiIzSh0rkGGYYwyDGO/YRiHDMN4yt71SP1lGEZTwzBWGIYRYxjGHsMwHqrY/oJhGAmGYWyv+Bht71ql/jEM46hhGLsqxlh0xbYgwzCWGoZxsOJzoL3rlPrHMIx2p5zfthuGkWMYxsM690l1MAxjlmEYqYZh7D5lW6XnOqPcOxXvAXcahtHTfpVLXXeWsfeaYRj7KsbXIsMwAiq2NzcMo/CU89+Hditc6oWzjL+z/p41DOPpinPffsMwrrRP1VIfnGXsfXnKuDtqGMb2iu0694nNnCNf0fu+81B7jRpiGIYzcAC4AogHNgM3m6YZY9fCpF4yDCMUCDVNc6thGL7AFuA6YDyQZ5rm6/asT+o3wzCOAr1N00w7ZdurQIZpmi9XXHQLNE3zSXvVKPVfxe/dBKAvMAWd+8TGDMMYDOQBc03T7FyxrdJzXUUA8wAwmvIx+bZpmn3tVbvUbWcZeyOB5aZplhmG8QpAxdhrDvz0x/NEquos4+8FKvk9axhGR2ABEAmEAcuAtqZpWmq0aKkXKht7f3r8P0C2aZr/0LlPbOkc+cpk9L7vnDTTueZEAodM04w1TbME+AIYa+eapJ4yTTPJNM2tFV/nAnuBJvatShzcWGBOxddzKP8lLVKdhgOHTdOMs3chUj+ZprkayPjT5rOd68ZS/keyaZpmFBBQ8QeMyEWrbOyZprnENM2yin9GAeE1Xpg4hLOc+85mLPCFaZrFpmkeAQ5R/nexyEU719gzDMOgfILVghotShzCOfIVve87D4XONacJcPyUf8ejEFBqQMVV3h7AxopN91fc4jFLLQ6kmpjAEsMwthiGMa1iWyPTNJMqvk4GGtmnNHEgEzj9Dw+d+6QmnO1cp/eBUpPuABaf8u8WhmFsMwxjlWEYg+xVlNR7lf2e1blPasogIMU0zYOnbNO5T2zuT/mK3vedh0JnkXrMMAwf4BvgYdM0c4D/Aq2A7kAS8B/7VSf12EDTNHsCVwH3VdwKd5JZ3tdJvZ2k2hiG4QaMAb6q2KRzn9Q4nevEHgzDeBYoA+ZVbEoCIkzT7AE8Csw3DMPPXvVJvaXfs2JvN3P6ZAOd+8TmKslXTtL7vsopdK45CUDTU/4dXrFNpFoYhuFK+Qlxnmma3wKYpplimqbFNE0r8BG6vU2qgWmaCRWfU4FFlI+zlD9uKar4nGq/CsUBXAVsNU0zBXTukxp1tnOd3gdKtTMMYzJwDTCx4o9fKtoapFd8vQU4DLS1W5FSL53j96zOfVLtDMNwAcYBX/6xTec+sbXK8hX0vu+8FDrXnM1AG8MwWlTMwJoA/GDnmqSequhp9Qmw1zTNN07ZfmofoeuB3X9+rUhVGIbhXbG4AoZheAMjKR9nPwC3VzztduB7+1QoDuK02S4690kNOtu57gfgtorVzPtRvtBRUmU7ELkUhmGMAp4AxpimWXDK9oYVC6tiGEZLoA0Qa58qpb46x+/ZH4AJhmG4G4bRgvLxt6mm65N6bwSwzzTN+D826NwntnS2fAW97zsvF3sX4CgqVpK+H/gNcAZmmaa5x85lSf11GTAJ2GUYxvaKbc8ANxuG0Z3y2z6OAtPtUZzUa42AReW/l3EB5pum+athGJuBhYZh3AnEUb7Qh4jNVVzsuILTz2+v6twntmYYxgJgKNDAMIx44HngZSo/1/1C+Qrmh4ACYEqNFyz1xlnG3tOAO7C04ndwlGmadwODgX8YhlEKWIG7TdO80EXgRM5wlvE3tLLfs6Zp7jEMYyEQQ3nbl/tM07TYoWypByobe6ZpfsKZ63iAzn1iW2fLV/S+7zyMijuvRERERERERERERESqTO01RERERERERERERMRmFDqLiIiIiIiIiIiIiM0odBYRERERERERERERm1HoLCIiIiIiIiIiIiI2o9BZRERERERERERERGxGobOIiIiIiIiIiIiI2IxCZxERERERERERERGxGYXOIiIiIiIiIiIiImIz/w+Ty87Acy5W9gAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(25, 6))\n", "for i in range(I):\n", " #ax = f.add_subplot(I/2, 2, i + 1)\n", " ax.plot(range(1,T+1),y_ex2[i,])\n", " ax.axhline(y=0,color='red')\n", " ax.axvline(x=T,color='black')\n", " ax.axvline(x=1,color='black')\n", " " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Differencing\n", "\n", "- It is much easier to handle stationary time series.\n", "- However non-stationary series can be made stationary via differencing.\n", "- Consider example 2 above\n", "\n", "$$\\begin{aligned}Y_t-Y_{t-1}&=\\sum\\limits_{i=1}^t\\epsilon_i - \\sum\\limits_{i=1}^{t-1}\\epsilon_i \\\\&=(\\epsilon_t+\\epsilon_{t-1}+\\dots+\\epsilon_1)-(\\epsilon_{t-1}+\\dots+\\epsilon_1)\\\\&=\\epsilon_t \\end{aligned}$$ " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Tests for stationarity\n", "\n", "- With only one realisation of raw data, how can we determine whether the time series is stationary?\n", "- Several hypothesis tests exist for this purpose\n", " - Augmented Dickey Fuller\n", " - KPSS Test\n", " - Phillips Perron\n", "- For ADF null is that series are non-stationary, for KPSS and PP it is that they are stationary." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Moving Average model\n", "\n", "An MA(q) model is given by:\n", "\n", "$Y_t=\\epsilon_t+\\theta_1\\epsilon_{t-1}+\\theta_2\\epsilon_{t-2}+\\dots+\\theta_q\\epsilon_{t-q}$\n", "\n", "Or using lag operators:\n", "\n", "$Y_t=(1+\\theta_1L+\\theta_2L^2+\\dots+\\theta_qL^q)\\epsilon_t$\n", "\n", "Or a more compact shorthand:\n", "\n", "$Y_t=(1+\\Theta(L))\\epsilon_t$\n", "\n", "We can (and often do) add an intercept, but I will leave it off for simplicity." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Example\n", "\n", "- You run a restaurant and sales is heavily influenced by vouchers issued by third parties.\n", "- You do not observe the number of vouchers issued so treat it as random.\n", "- The voucher may be valid for two days. There is \n", " - an instantaneous effect of vouchers issued on sales, and \n", " - a 'discount' factor for the effect of vouchers on the second day.\n", "$$\\textrm{Sales}_t=\\textrm{Voucher Effect}_t+\\theta\\textrm{Voucher Effect}_{t-1}$$\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Simulation" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "T=200\n", "y=np.zeros(T)\n", "epsilon=np.random.normal(0,0.1,T)\n", "for i in range(1,T):\n", " y[i]=epsilon[i]+0.8*epsilon[i-1]\n", "fig, ax = plt.subplots(figsize=(25, 6))\n", "ax.plot(np.arange(T),y)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## ACF and PACF of MA" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from statsmodels.graphics.tsaplots import plot_acf, plot_pacf\n", "fig, ax = plt.subplots(1,2,figsize=(15,6))\n", "plot_acf(y,ax=ax[0])\n", "plot_pacf(y,ax=ax[1])\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## ACF and PACF in theory\n", "\n", "- The ACF is zero beyond lag $q$ for an MA(q).\n", "- The PACF is decays more slowly.\n", "- Remember what we see in the plots are *sample estimates*. But even then\n", " - The ACF is not significantly different from zero after lag $q$.\n", " - The PACF does have significant zeros after lag $q$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Wold's Theorem\n", "\n", "- It holds that *any* stationary process can be represented as an MA($\\infty$) by **Wold's Theorem**.\n", "- Even a process that is non-linear can be written as a *linear* combination of *past* errors.\n", " - Linear is good due to ease of estimation\n", " - Past errors are good since the model can be used for forecasting\n", "- The disadvantage is that a finite order MA is restrictive.\n", " - For example the ACF is zero past laq $q$\n", "- Is there another simple model that has an non-zero ACF up to infinite order?" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "\n", "## Autoregressive model\n", "\n", "An AR(p) model is given by\n", "\n", "$Y_t=\\phi_1Y_{t-1}+\\phi_2Y_{t-2}+\\dots+\\phi_pY_{t-p}+\\epsilon_t$\n", "\n", "Or using lag operators\n", "\n", "$(1-\\phi_1L-\\phi_2L^2-\\dots-\\phi_pL^p)Y_t=\\epsilon_t$\n", "\n", "Or a more compact shorthand\n", "\n", "$(1-\\Phi(L))Y_t=\\epsilon_t$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Example\n", "\n", "- Consider the restaurant's price for a bowl of noodle soup. This will be influenced by factors unobserved to the restaurant owner, e.g. the price of noodles, changes to rent, gas bills, etc.\n", "- However, the restaurant doesn't want to change the price dramatically, so the previous price will also have an important effect of the current price.\n", "\n", "$$\\textrm{Price}_t=\\phi \\textrm{Price}_{t-1}+\\text{Other Shocks}_t$$\n", "\n", "- This is an AR(1) model." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Simulation" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "T=200\n", "y=np.zeros(T)\n", "epsilon=np.random.normal(0,0.1,T)\n", "for i in range(1,T):\n", " y[i]=0.8*y[i-1]+epsilon[i]\n", "fig, ax = plt.subplots(figsize=(25, 6))\n", "ax.plot(np.arange(T),y)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## ACF and PACF of AR" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": 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ZHWe6VGGgv5f9w4M8fO/thjlJkiRJTefQyiY4dGyMkdFxpkoVEpgqVRgZHefQsbFWlyZJkiSpAxnkmuDIqQmmS5WLlk2XKhw9NdGiiiRJkiR1MoNcE9yyYwsD/b0XLRvo72Xfji0tqkiSJElSJzPINcHBm4fYPzzI3OlwG+rnyB28eai1hUmSJEnqSAa5JujtCR6+93b2DG1i1+AAH73nVic6kSRJkrRqnLWySXp7gq0b+tm6Ae7Ye12ry5EkSZLUweyRkyRJkqSCMchJkiRJUsEY5CRJkiSpYJoS5CLizog4FhHHI+L9i6zzzog4GhFHIuI3m7FfSZIkSepGK57sJCJ6gY8BbwdOAk9FxKOZebRhnZuAnwT+bGaejQjn5ZckSZKkZWpGj9xbgOOZ+VxmloBPA3fPW+fvAB/LzLMAmTnWhP1KkiRJUldqRpDbCYw23D9ZX9bo24Fvj4j/GRFfjog7m7BfSZIkSepKa3UduT7gJuAgsAv4/Yj405k53rhSRNwH3Adw/fXXr1FpkiRJklQszeiRewEYbri/q76s0Ung0cyczcxvAH9MLdhdJDMfyswDmXlg+/btTShNkiRJkjpPM4LcU8BNEXFjRPQD7wIenbfO71DrjSMirqU21PK5JuxbkiRJkrrOioNcZpaB+4EngGeARzLzSER8MCLeUV/tCeBMRBwFvgj808w8s9J9S5IkSVI3aso5cpn5GPDYvGUPNtxO4Cfq/yRJkiRJK9CUC4JLkiRJktbOWs1aqUVUqsmhY2McOTXBLTu2cPDmIXp7otVlSZIkSWpjBrkWqlSTd3/8SUZGx5kuVRjo72X/8CAP33u7YU6SJEnSohxa2UKHjo0xMjrOVKlCAlOlCiOj4xw6Ntbq0iRJkiS1MYNcCx05NcF0qXLRsulShaOnJlpUkSRJkqQicGhlC92yYwsD/b1MNYS5gf5e9u3YcsltPbdOkiRJ6l4GuRY6ePMQ+4cH+fJzZ6gmbKifI3fw5qElt/PcOkkqjoi4E/gloBf4tcz88ALrvBP4AJDAH2bmD65pkZKkwnFoZQv19gQP33s7e4Y2sWtwgI/ec+tlhTHPrZOkYoiIXuBjwF3APuCeiNg3b52bgJ8E/mxm3gL8+FrXKUkqHoNci/X2BFs39LNz6wB37L3usnrUPLdOkgrjLcDxzHwuM0vAp4G7563zd4CPZeZZgMz0WzlJ0iUZ5Apo7ty6Rpd7bp0kaU3tBEYb7p+sL2v07cC3R8T/jIgv14diSpK0JINcAc2dWzfXeXe559ZJktpSH3ATcBC4B/i3ETE4f6WIuC8iDkfE4dOnT69thZKktmOQK6DlnlsnSVpzLwDDDfd31Zc1Ogk8mpmzmfkN4I+pBbuLZOZDmXkgMw9s37591QqWJBWDQa6glnNunSRpzT0F3BQRN0ZEP/Au4NF56/wOtd44IuJaakMtn1vDGiVJBWSQkyRplWRmGbgfeAJ4BngkM49ExAcj4h311Z4AzkTEUeCLwD/NzDOtqViSVBReR06SpFWUmY8Bj81b9mDD7QR+ov5PkqTLYo+cJEmSJBWMQU6SJEmSCsYgJ0mSJEkF4zlyXaZSTQ4dG+PIqQlu2bGFgzcPOeOlJEmSVDAGuS5SqSbv/viTjIyOM12qMFC/kLjXoJMkSZKKxaGVXeTQsTFGRseZKlVIYKpUYWR0nEPHxlpdmiRJkqQrYJDrIkdOTTBdqly0bLpU4eipiRZVJEmSJGk5DHJd5JYdWxjo771o2UB/L/t2bGlRRZIkSZKWwyDXRQ7ePMT+4UHmTofbUD9H7uDNQ60tTJIkSdIVMch1kd6e4OF7b2fP0CZ2DQ7w0XtudaITSZIkqYCctbLL9PYEWzf0s3UD3LH3ulaXI0mSJGkZ7JGTJEmSpIIxyEmSJElSwRjkJEmSJKlgDHKSJEmSVDAGOUmSJEkqGGet1GWpVJNDx8Y4cmqCW3Zs4eDNQ162QJIkSWoRg5wuqVJN3v3xJxkZHWe6VGGgfiFxr0EnSZIktYZDK3VJh46NMTI6zlSpQgJTpQojo+McOjbW6tIkSZKkrmSQ0yUdOTXBdKly0bLpUoWjpyZaVJEkSZLU3QxyuqRbdmxhoL/3omUD/b3s27GlRRVJkiRJ3a0pQS4i7oyIYxFxPCLev8R6fz0iMiIONGO/WhsHbx5i//Agc6fDbaifI3fw5qHWFiZJkiR1qRUHuYjoBT4G3AXsA+6JiH0LrLcZ+IfAkyvdp9ZWb0/w8L23s2doE7sGB/joPbc60YkkSZLUQs3okXsLcDwzn8vMEvBp4O4F1vvnwM8BF5qwT62x3p5g64Z+dm4d4I691xniJEmSpBZqRpDbCYw23D9ZX/aaiLgNGM7M31vqiSLivog4HBGHT58+3YTSJEmSJKnzrPpkJxHRA/wC8I8vtW5mPpSZBzLzwPbt21e7NEmSJEkqpGYEuReA4Yb7u+rL5mwG3gwciogTwJ8BHnXCE0mSJElanmYEuaeAmyLixojoB94FPDr3YGa+mpnXZubuzNwNfBl4R2YebsK+JUmSJKnrrDjIZWYZuB94AngGeCQzj0TEByPiHSt9fkmSJEnSxfqa8SSZ+Rjw2LxlDy6y7sFm7FOSJEmSutWqT3YiSZIkSWoug5wkSZIkFUxThlZKS6lUk0PHxjhyaoJbdmzh4M1DXlBckiRJWgGDnFZVpZq8++NPMjI6znSpwkB/L/uHB3n43tsNc5IkSdIyObRSq+rQsTFGRseZKlVIYKpUYWR0nEPHxlpdmiRJklRYBjmtqiOnJpguVS5aNl2qcPTURIsqkiRJkorPIKdVdcuOLQz09160bKC/l307trSoIkmSJKn4DHJaVQdvHmL/8CBzp8NtqJ8jd/DmodYWJkmSJBWYQU6rqrcnePje29kztIldgwN89J5bnehEkiRJWiFnrdSq6+0Jtm7oZ+sGuGPvda0uZ8Wq1aSaSTWhmkkmVDLJTBLIBBKS2mPJt9bL2gOvrVfbor5NXcNNsuGBxnUWstjjySU2vMznWYnlPmWuRjHz93HJGq5sy/nrz1/r9Y9f+me80sOwBoftNYMbrmLH4MDa7VCSJAEGOXW4ajWpZFKpJuVqUqnU7perVSrVfO1fueF2pVoLXdXM1wJaNecCXKt/Iqm9rLvKgR2SJLWCQU5tLTOZrcyFrepFoWsumC24vFqlXDF4SZIkqTMZ5NRSs5UqpXKVmfLc/5XX7s+UK8xWck2HiUmSJElFYJDTqspMpkoVZitVqgnPnT7fENpqPWmS1Mki4k7gl4Be4Ncy88OLrPfXgc8C/0tmHl7DEiVJBWSQU9PMlCtMzVSYmq0wXSozOVNherZCJkzP1i4K/tLETIurlKS1ExG9wMeAtwMngaci4tHMPDpvvc3APwSeXPsqJUlFZJDTFatUk6lSmalSpf6vdrtcsXdNkuZ5C3A8M58DiIhPA3cDR+et98+BnwP+6dqWJ0kqKoOcLunCbIWJ6VmmZytUqsn/941XWl2SJBXFTmC04f5J4PbGFSLiNmA4M38vIgxykqTLYpDT60zOlDl3ocy5C7NMXJilVK71tM1Wqi2uTJI6S0T0AL8AvPcy1r0PuA/g+uuvX93CJEltzyDX5TKT8/XgNnFhlvMXysw6RFKSmuUFYLjh/q76sjmbgTcDhyIC4A3AoxHxjvkTnmTmQ8BDAAcOHPCDWpK6nEGuC1Xr12Y7emqC8zNlZ46UpNXzFHBTRNxILcC9C/jBuQcz81Xg2rn7EXEI+CfOWilJuhSDXJeYuDDL2ckSr0yWOD9TBuDV6dkWVyVJnS0zyxFxP/AEtcsPfCIzj0TEB4HDmfloayuUJBWVQa5DZSavTs/yymSJs1Ol185zkyStrcx8DHhs3rIHF1n34FrUJEkqPoNcB6lUk/GpWnA7OzXr5QAkSZKkDmWQK7gExs5d4OzkLONTJTrpdLdqNRkZHefEmUl2b9vI/uFBenqi1WVJkiRJLWeQK6BqNTk7VapdhLta5etjk60uqemq1eRDjz/D8bHzlMpV+vt62DO0iQfu2nvJMGcAlCRJUqczyBXIuQuznD43w5nJEuVKUq527nXdRkbHOT52nply7WecKVc5PnaekdFxbrth66LbrSQASpIkSUXR0+oCtLQLsxVOnp1iZHScP3phgpcmZrri3LcTZyYplS8OqqVylRNnlu59bAyAycUBUJIkSeoU9si1oUo1OTM5w+lzM0xMl1tdTkvs3raR/r6e13rkAPr7eti9beOS2y0VAJfqyZMkSZKKxCDXRl6dmuX0+Qu8Mjnb9Rfp3j88yJ6hTRx9cYJMWFcfIrl/eHDJ7ZYbACVJkqQicWhli2Ums5Uq52fKHH1xgtPnSl0f4gB6eoIH7trLzsEBtm/q58e+56bLOs9tLgBGfbXLDYCSJElSkdgj10KvTs1y4swk07OVVpfSlnp6gs3r+9i8vu+yh0XOBcD3fe6rzMxWeO/bbnTWSkmSJHUcg1wLXJit8PyZKV6ZLLW6lI60nAAoSZIkFYlBbg2VK1VeGJ/mm69e6KgLd0uSJElaWwa5NZCZjJ2bYfSVKWa74NIBkiRJklaXQW6VvTo9y/NnJpmc8Tw4SZIkSc3RlFkrI+LOiDgWEccj4v0LPP4TEXE0Ir4aEZ+PiBuasd92dmG2wrFvnuPoqQlDnCRJkqSmWnGQi4he4GPAXcA+4J6I2DdvtT8ADmTmdwCfBf7VSvfbrhJ4/swkfzg67mQmkiRJklZFM3rk3gIcz8znMrMEfBq4u3GFzPxiZk7V734Z2NWE/badcqXK5EyZU+NOZiJJkiRp9TTjHLmdwGjD/ZPA7Uusfy/weBP22zYq1eQbL08y5fXgCq1aTUZGxzlxZpLd2zZ6/TlJkiS1rTWd7CQifgg4AHz3Io/fB9wHcP31169hZcs3cWGW42PnmZmttroUrUC1mnzo8Wc4PnaeUrlKf18Pe4Y28cBdew1zkiRJajvNGFr5AjDccH9XfdlFIuJ7gZ8C3pGZMws9UWY+lJkHMvPA9u3bm1Da6slMRl+Z4uipCUNcBxgZHa8F8nKVBGbKVY6PnWdkdLzVpUmSJEmv04wg9xRwU0TcGBH9wLuARxtXiIhbgV+lFuLGmrDPlrowW+HIqQlOnp0mPReuI5w4M0mpfHEgL5WrnDgz2aKKJEmSpMWteGhlZpYj4n7gCaAX+ERmHomIDwKHM/NR4F8Dm4DfjgiAP8nMd6x0363w0sQFnj8zRcXZTDrK7m0b6e/rYaYhzPX39bB728YWViVJkiQtrCnnyGXmY8Bj85Y92HD7e5uxn1aarVR57vSklxToUPuHB9kztImjL06QCevq58jtHx5sdWmSJEnS66zpZCdFNT5V4uunz1Mq2wvXqXp6ggfu2sv7PvdVZmYrvPdtNzprpSRJktqWQW4J1Wry/CtTfPPVC60uRWugpyfYvL6Pzev7uO2Gra0uR5IkSVqUQW4R1Uy+9sKrTJW8NpwkSZKk9mKQmyczKZWrzJQrhjhJkiRJbckg12CmXOH42HkulA1wkiRJktqXQa7u5fMzfOPlScoVJzSRJEmS1N66PsiVK7WLPp8+52UFtDzVajIyOs6JM5Ps3rbR2S4lSZK06ro6yL06PcvXT59nZrZ66ZWlBVSryYcef4bjY+cplav0168/98Bdew1zkiRJWjU9rS6gVaZLFZ55ccIQpxUZGR3n+Nh5ZspVEpgpVzk+dp6R0fFWlyZJkqQO1rVBrpJJejqcVujEmUlK5Yu/DCiVa8N1JUmSpNXStUFOaobd2zbS33fxr1F/Xw+7t21sUUWSJEnqBgY5aQX2Dw+yZ2gTUT8dbl39HLn9w4MtrUuSJEmdzSAnrUBPT/DAXXvZOTjA9k39/Nj33OREJ5IkSVp1XT1rpdQMPT3B5vV9bF7fx203bG11OZIkSeoC9shJkiRJUsEY5CRJkiSpYAxykiRJklQwBjlJkiRJKhiDnCRJkiQVjEFOkiRJkgrGyw9ILVKtJiOj45w4M8nubRvZPzzo9eckSZJ0WQxyUgtUq8mHHn+G42PnKZWr9Pf1sGdokxcTlzpQRNwJ/BLQC/xaZn543uM/AfwIUAZOA/9bZj6/5oVKkgrFoZVSC4yMjnN87Dwz5SoJzJSrHB87z8joeKtL0xWoVpOnnz/L554+ydPPn6VazVaXpDYTEb3Ax4C7gH3APRGxb95qfwAcyMzvAD4L/Ku1rVKSVET2yEktcOLMJKVy9aJlpXKVE2cmue2GrS2qSlfCXlVdprcAxzPzOYCI+DRwN3B0boXM/GLD+l8GfmhNK5QkFZI9clIL7N62kf6+i3/9+vt62L1tY4sq6m7L6VmzV1WXaScw2nD/ZH3ZYu4FHl/ViiRJHcEeOakF9g8PsmdoE0dfnCAT1tV7c/YPD15yWydJaa7l9qzZq6pmi4gfAg4A373I4/cB9wFcf/31a1iZJKkdGeSkFujpCR64ay/v+9xXmZmt8N633XhZgczhfM3X2LMGF/esLRXI5npVZxrC3OX2qhrGu8oLwHDD/V31ZReJiO8Ffgr47sycWeiJMvMh4CGAAwcOeEKmJHU5g5zUIj09web1fWxe33fZPTjLDR1a3HJ71pbbq2oY7zpPATdFxI3UAty7gB9sXCEibgV+FbgzM8fWvkRJUhF5jpxUIEuFDi3vXLflnq8416u6c3CA7Zv6+bHvuemywljRzq1zZs6VycwycD/wBPAM8EhmHomID0bEO+qr/WtgE/DbETESEY+2qNyOUakmn3/mJT7y+Wf5/DMvUfF9K6kD2SMnFchKhvMt10qGAa7lEMLl9nSt5HzF5fSqruTcurUekmnvYXNk5mPAY/OWPdhw+3vXvKgOVqkm7/74k4yMjjNdqjDQ38v+4UEevvd2en3fSuogBjmpQNZ6kpSV/CG/1iFgucNOl3u+4nItN4y3IlQ5lFdFdOjYGCOj40yVKgBMlSqMjI5z6NgYd+y9rsXVSVLzOLRSKpDlDuebCwEf+cKzfPYrJ/nIF57lQ48/c8lhcisZBrjWQwhXMux0rmft2s3ruO2Grava2zQXxqO+i8sN4ys5nssdHulQXhXRkVMTTNdD3JzpUoWjpyZaVJEkrQ575KSCWctJUlYyDHCthxC2Ytjpciy3B3C5x3MlPXlFOaZSo1t2bGGgv/e1HjmAgf5e9u3Y0sKqJKn57JGTusBye1ZWcuHy5W673N7D5fZ0tcJyegCXezxX0pNXpGMqzTl481Dty5H6+3ZD/Ry5gzcPtbYwSWoyg5zUBZYbAlbyh/xaDyFc7rDTolju8VzpkNNOPqbqTL09wcP33s6eoU3sGhzgo/fc6kQnkjqSQU7qAssNASv5Q3652xblXLe1ttzjuZJe1bn9duoxVefq7Qm2buhn59YB7th7nSFOUkdqSpCLiDsj4lhEHI+I9y/w+LqI+Ez98ScjYncz9ivp8qw0kC33D/m1HELYDZZzPB0eKUlSZ1pxkIuIXuBjwF3APuCeiNg3b7V7gbOZuQf4N8DPrXS/kq5MUXpWDB7N5fBISZI6U2Re3jTUiz5BxFuBD2TmX6rf/0mAzPyXDes8UV/nSxHRB3wT2J5L7PyaG/bm2x/4xIpqO/pibarhfW98/UxVlUwmZ8oLbvf8mSkAbti24Yr253bts0+3a4/tlrttZvKNl6eoZnLdlvVsWtdLxOUFj6Icm6Jsd6lt+3t7WH9V7xU/53yP/OjbvpKZB1b8RF3iwIEDefjw4WVv/zd/9UsAfObvvnVNtmuFItUqSYuJiEXbx2ZcfmAnMNpw/yRw+2LrZGY5Il4FtgEvzyv0PuA+gE1vfNOKC1sowF2O5fyh43bttU+3a4/tlrttRPBt25c3lLIox6Yo2610W0mStDra6jpymfkQ8BDUvm1czW/Rzs+U+drJV1ft+SWpGwxtWcebtm9a8fM88qNNKEaSpC7SjCD3AjDccH9XfdlC65ysD628GjjThH1LkqQm+9LXF26iJy7MLvn4YqrVZGR0nBNnJtm9bWPtOm+rfJ7mcmvtZK14HaRu9tY3bVvV529GkHsKuCkibqQW2N4F/OC8dR4F3gN8CfgB4AtLnR8nSZI6Q7WafOjxZzg+dp5SuUp/fQIjJ91ZW74OUudZ8ayVmVkG7geeAJ4BHsnMIxHxwYh4R321jwPbIuI48BPA6y5RIEmSOs/I6DjHx84zU66SwEy5yvGx84yMjre6tK7i6yB1nqacI5eZjwGPzVv2YMPtC8DfaMa+JElScZw4M0mpXL1oWalc5cSZSW67YWuLquo+vg5S52nKBcElSZIWsnvbRvr7Lv5zo7+vh93bljczrZbH10HqPAY5SZK0avYPD7JnaBNzl4JcVz83a//wYEvr6ja+DlLnMchJkqRV09MTPHDXXnYODrB9Uz8/9j03OcFGC/g6SJ2nra4jJ0mSOk9PT7B5fR+b1/d5PlYL+TpIncUeOUmSJEkqGIOcJEmSJBWMQU6SJEmSCsYgJ0mSJEkFY5CTJEmSpIIxyEmSJElSwRjkJEmSJKlgDHKSJEmSVDBeEFySJEnqYNVqMjI6zokzk+zetpH9w4P09ESry9IKGeQkSZKkDlWtJh96/BmOj52nVK7S39fDnqFNPHDXXsNcwTm0UpIkSVqGajV5+vmzfO7pkzz9/Fmq1Wx1Sa8zMjrO8bHzzJSrJDBTrnJ87Dwjo+OtLk0rZI+cJEmSdIWK0tN14swkpXL1omWlcpUTZya57YatLapKzWCPnCRJaktF6O1Q9ypKT9fubRvp77v4T/7+vh52b9vYoorULPbISZKktlOU3g51r6L0dO0fHmTP0CaOvjhBJqyr/y7tHx5sdWlaIXvkJElS2ylKb4e6V1F6unp6ggfu2svOwQG2b+rnx77npiv6QsSe8fZlj5wkSWo7RentUPdaSU/XWl8OoKcn2Ly+j83r+67o98ee8fZmkJMkSW1nrrdjpiHMtWNvh7rXXE/X+z73VWZmK7z3bTdeViArUjhq7BmHi3vG/UKl9RxaKUmS2s5cb0fU/671vB61o7merms3r+O2G7ZeVhAr0rDhpXrGu107DDm1R06SJLWd5fZ2SO2uSMOG7RlfWLv0qtojJ0mS2tJyejukdleUSVLAnvHFtEuvqkFOkiRJWiNFCkcrnfGyU7XLkNOuDXIb+3u5ftuG136JJEmSpNVWtHBkz/jrtUuvateeIxcR7Bwc4OqBqzg+dp7pUqXVJUmSJKkFinQ5gLWsUwtrl4usd22Qm7NpXR/fsfNqnn9lim++eqHV5UiSJGkNtcvEFZdSlDq7QbtMxtS1Qysb9fQEN167kT/1hs309/mLIElqnoi4MyKORcTxiHj/Ao+vi4jP1B9/MiJ2t6BMqWu1y8QVl1KUOrtFOww5Ncg12Lqxn+/YNcjWjVe1uhRJUgeIiF7gY8BdwD7gnojYN2+1e4GzmbkH+DfAz61tlVLnWM61vdpl4opLKUqdc9rhOmudruuHVs53VW8Pf+oNW3hp4gLPn5mi4ptOkrR8bwGOZ+ZzABHxaeBu4GjDOncDH6jf/izwyxERmWkDJF2B5Q49LMq10opSJzgMdK1Eu7YTBw4cyMOHD7e0hulSheNj5zk/U25pHZLUroa2rONN2zet+Hki4iuZeaAJJbWViPgB4M7M/JH6/XcDt2fm/Q3r/FF9nZP1+1+vr/PyYs97zQ178+0PfGLZdR19cQKAfW/csuDjExdmF1z+/JkpAG7YtuGK97ncbdd6u07Xycfl3IUyL4xP0/inbQTsHBxg8/rF+y4ykz95ZZqp+sR3ETBwVS/XXzNAXMb05mv1Hm1VncvZdrmvRdFc6rhsWb/yUX6P/OjbFm0fO+dIroKB/l7evHMLJ89Ov+7NKEnSWoqI+4D7ADa98U0req7FAtylrOSP/+Vuu5bbZSbfeHmKaibXbVnPpnW9l/UHMhQnqC73eK51iF/Oa3FhtvK6v9UyYWa2smR4iAiuv2aA8zMVZmYrrLuq94pe+7V6j7aqzuVsu9zXYk6n/z41i0HuEiKC4Ws2cPWG2mUKZmarl95IkqSaF4Dhhvu76ssWWudkRPQBVwNn5j9RZj4EPAS1USuf+btvXZWCAb709dftvuPNDQUrVapkwulzM1w9cPlDwT74u0cAePCv3HJF+13r7ZZrJfu70m2X+1o8/fxZPvKFZy8aeriur4f3vu3GK5riXyu30teiU36f3vqmbSt+jkd+dPHHnOzkMm1ZfxXfsfNqtm9e1+pSJEnF8RRwU0TcGBH9wLuAR+et8yjwnvrtHwC+4Plxa29uRsC5I38lMwJWq8m5C2VOn5txUocmWO5rMXdtr3V9PQStu7aXfC3Wyop65CLiGuAzwG7gBPDOzDw7b539wK8AW4AK8LOZ+ZmV7LdV+nprb8LBDVfxjZcnKVf8oJYkLS4zyxFxP/AE0At8IjOPRMQHgcOZ+SjwceDhiDgOvEIt7GmNLTUj4FI9CHO9R3OnYHzkC886qcMKLfe1mLu2lxfMbj1fi7Wx0qGV7wc+n5kfrl8b5/3A++atMwX8cGY+GxE7gK9ExBOZOb7CfbfMtZvWsXl9H18fm+TV6YVPCJckCSAzHwMem7fswYbbF4C/sdZ16WLLnRFwqd4jh/Mtz0pmZ+zpCW67YavHvg34Wqy+lQ6tvBv4VP32p4Dvn79CZv5xZj5bv30KGAO2r3C/Lbeur5d9O7Zww7YN+OWCJEnFttyhYEW7tlcROCxPa6nIQ6NX2iN3XWa+WL/9TeC6pVaOiLcA/cDXV7jftrFjcICrB2oTocxNBytJkopluUPBinRtr6JwWJ7WStGHRl8yyEXEfwPesMBDP9V4JzMzIhaNsBHxRuBh4D2ZueDUj41TK19//fWXKq1tbFzXx5/eeTV/8soUL756odXlSJKkZVjOULC53qP5Fz6292hlHJantVD0odGXDHKZ+b2LPRYRL0XEGzPzxXpQG1tkvS3A7wE/lZlfXmJfF02tfKna2klPT7D72o1cu3kdJ16e5NwFLyIuSVKns/dIKq7lTqzTLlZ6jlzjlMnvAf7T/BXq0y3/R+DXM/OzK9xf29u0ro8377yam67bRH+fV3eQJKnTzfUe/bXbdnHbDVsNcVILLOdct7mh0Y2KNDR6pUnjw8DbI+JZ4Hvr94mIAxHxa/V13gn8eeC9ETFS/7d/hftte9duWsetw4Ps2jpArx/okiRpniJPsiC1k8Zz3V4+X+IjX3iWDz3+zCV/p4o+sc6KJjvJzDPAHQssPwz8SP32bwC/sZL9FFVPTzB8zQaGtqxj9JUpTp8rtbokSZLUBoo+yYK0Wua+4LgwW+Hp589e1lDl5Z7rVvSh0Y79WwPr+nrZM7SZN+/cwub1K50oVJIkFd1Sf3hK3Wq5PWsruQxIkYdGG+TW0Ob1V/HmnVezZ8jz5yRJ6mbdcv05h4/qSiz3C46in+u2XKaJFti+eR37PX9OkqSu1Q1/eC63d0Xda7lfcBT9XLflcpxfi/R6/pwkSV2rG64/V/RrdGntzX3BMdMQ5i7nC46in+u2XAa5Fps7f27X1gqnz81w+vwMM7MLXi9dkiR1iG74w7Po1+jS2lvJFxzdeBF5g1ybWH9VL8PXbGD4mg1MXJjl9LkZXpksUa44/ECSpE7U6X94Lrd3Rd2rG77gaCaDXBvasv4qtqy/ihu3Ja9MlTh9boZXp2dfG5ogSZLU7rph+Kiar9O/4Ggmg1wb6+kJrt20jms3raNUrvLy+RlOn5thqlRpdWmSJElLsndFWl0GuYLo7+thx+AAOwYHmJypTeN7ZnKGUtluOkmS1J7sXZFWj0GugDau62Pjuj5u2LaBV6dnOTNZYnyqZKiTJEmSuoRBrsAigsEN/Qxu6CczOTdT5pXzJV6ZKjnzpSRJktTBDHIdIiJemyRlNxuZnCnzymSJVyZLnlMnSZIkdRiDXIeaG345fM0GLsxWODNZ4uxkiXMXyq0uTZIkSdIKGeS6wPqretk5OMDOwQFmyhXOTs5ydqoW6ipVz6uTJEmSisYg12XW9fXyhqt7ecPV68lMJksVJqZnOXehzLkLs8x6AXJJktSgWk3OXShzYbbC08+f9RICUpswyHWxiGDTuj42rfvW22CqVGZiuhbqJi6UKZWdNEWSpG5VrSYfevwZXhifJhM+8oVn2TO0iQfu2muYk1rMIKeLbOjvY0N/H2+4ej0AF2YrTFyYfS3cXXA2TEmSusbI6DjHx86T9QE7M+Uqx8fOMzI67rXhpBYzyGlJ66/qZf1VvQxtrt0vlatMlcpMlSqv/T9dquCpdpIkdZ4TZyZfNzqnVK5y4sykQU5qMYOcrkh/Xw/9ff0MbvjWssxkerZSC3czFaZmawHPa9lJklRsu7dtpL+vh5mGMNff18PubRtbWJUkMMipCSLitSGZbPrW8nKlytRsPdyVysyUq5TKVWbKVWfLlCSpAPYPD7JnaBPHx85TKlfp7+thz9Am9g8Ptro0qesZ5LRq+np72NLbw5b1V73usdnKt0Jd7f/Ka/fnlkmSpNdby1kke3qCB+7ay8joOCfOTLJ720ZnrZTahEFOLXFVbw9X9fawcd3Cj1erSalSC3XlSq0Hr1zNhv+rlKtJuZIXPWZPnySpk7ViFsmenuC2G7Z6TpzUZgxyaks9PcH6ntpEK1cic17gqySVTMrVehisJNW8OPg1hsNKFcOgJKltOYukpDkGOXWUiOCq3uAK89/rVKu1wFfJJBOqmVTr/2d17n5tWTasl9TuzzWwtWXfWi/ry6Bx/Yv3XVvrW9sveJvXh835z7NSzXy+hepd6xoW3ccla1h4jcW2e/3queTjl/MjXulxWKzm1eDgKmltOYukpDkGOWkBPT1BD+EviKSu9NY3bWt1CVrEVKnM733tRaZKldeWDfT3cueb3+DrJnWZnlYXIEmSpMtz8OYh9g8PsqG/lwA29Peyf3iQgzcPtbo0SWvMDgdJkqSC6O0JHr73dg4dG+PoqQn27djCwZuH6HUWSanrGOQkSZIKpLcnuGPvddyx97pWlyKphRxaKUmSJEkFY5CTJEmSpIIxyEmSJElSwRjkJEmSJKlgDHKSJEmSVDAGOUmSJEkqGIOcJEmSJBWMQU6SJEmSCsYgJ0mSJEkFY5CTJEmSpIIxyEmSJElSwURmtrqGBUXEaeD5JjzVtcDLTXieTuNxWZzHZmEel8V5bBZ3ucfmhszcvtrFdIomtZG+bxfnsVmYx2VxHpvFeWwWtuL2sW2DXLNExOHMPNDqOtqNx2VxHpuFeVwW57FZnMemffnaLM5jszCPy+I8Novz2CysGcfFoZWSJEmSVDAGOUmSJEkqmG4Icg+1uoA25XFZnMdmYR6XxXlsFuexaV++Novz2CzM47I4j83iPDYLW/Fx6fhz5CRJkiSp03RDj5wkSZIkdZSODXIRcWdEHIuI4xHx/lbX004i4kREfC0iRiLicKvraaWI+EREjEXEHzUsuyYi/mtEPFv/f2sra2yFRY7LByLihfr7ZiQivq+VNbZKRAxHxBcj4mhEHImIf1hf3tXvmyWOi++bNmQbuTDbx2+xfVycbeTCbB8Xt1ptZEcOrYyIXuCPgbcDJ4GngHsy82hLC2sTEXECOJCZXX9Nj4j488B54Ncz8831Zf8KeCUzP1z/A2drZr6vlXWutUWOyweA85n5f7WytlaLiDcCb8zMpyNiM/AV4PuB99LF75sljss78X3TVmwjF2f7+C22j4uzjVyY7ePiVquN7NQeubcAxzPzucwsAZ8G7m5xTWpDmfn7wCvzFt8NfKp++1PUftG6yiLHRUBmvpiZT9dvnwOeAXbS5e+bJY6L2o9tpC7J9nFxtpELs31c3Gq1kZ0a5HYCow33T+IfFI0S+C8R8ZWIuK/VxbSh6zLzxfrtbwLXtbKYNnN/RHy1Pqyk64ZGzBcRu4FbgSfxffOaeccFfN+0G9vIxdk+Ls3PuaX5WVdn+7i4ZraRnRrktLTvyszbgLuAv18fIqAFZG3sceeNP16eXwHeBOwHXgR+vqXVtFhEbAL+A/DjmTnR+Fg3v28WOC6+b1Qkto+XqZs/5xbhZ12d7ePimt1GdmqQewEYbri/q75MQGa+UP9/DPiP1IbZ6Fteqo9lnhvTPNbietpCZr6UmZXMrAL/li5+30TEVdQ+iP99Zn6uvrjr3zcLHRffN23JNnIRto+X1PWfc4vxs67G9nFxq9FGdmqQewq4KSJujIh+4F3Aoy2uqS1ExMb6SZZExEbgLwJ/tPRWXedR4D312+8B/lMLa2kbcx/Cdf8rXfq+iYgAPg48k5m/0PBQV79vFjsuvm/akm3kAmwfL0tXf84txc8628elrFYb2ZGzVgLUp+/8RaAX+ERm/mxrK2oPEfFt1L5lBOgDfrObj01E/BZwELgWeAn4GeB3gEeA64HngXdmZled1LzIcTlIres/gRPA320Y8941IuK7gP8OfA2o1hc/QG2se9e+b5Y4Lvfg+6bt2Ea+nu3jxWwfF2cbuTDbx8WtVhvZsUFOkiRJkjpVpw6tlCRJkqSOZZCTJEmSpIIxyEmSJElSwRjkJEmSJKlgDHKSJEmSVDAGOUmSJEkqGIOcJEmSJBWMQU6SJEmSCub/B7OCBb+29vlDAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1,2,figsize=(15,6))\n", "plot_acf(y,ax=ax[0])\n", "plot_pacf(y,ax=ax[1])\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## ACF and PACF in theory\n", "\n", "- The PACF is zero beyond lag $p$ for an AR(p).\n", "- The ACF decays more slowly.\n", "- Remember what we see in the plots are *sample estimates*. But even then\n", " - The PACF is not significantly different from zero after lag $p$.\n", " - The ACF does have significant zeros after lag $p$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Looking for more flexibility\n", "\n", "- The AR model implies zeros past some point in the PACF\n", "- The MA model implies zeros past some point in the ACF\n", "- Is there is a more flexible model that \n", " - Keeps a finite number of parameters\n", " - Does not constrain the ACF and PACF " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## ARMA model\n", "\n", "An ARMA(p,q) model is given by:\n", "\n", "$Y_t=\\phi_1Y_{t-1}+\\phi_2Y_{t-2}+\\dots+\\phi_pY_{t-p}+\\epsilon_t+\\theta_1\\epsilon_{t-1}+\\theta_2\\epsilon_{t-2}+\\dots+\\theta_q\\epsilon_{t-q}$\n", "\n", "Or using lag operators:\n", "\n", "$(1-\\phi_1L-\\phi_2L^2-\\dots-\\phi_pL^p)Y_t=(1+\\theta_1L+\\theta_2L^2+\\dots+\\theta_qL^q)\\epsilon_t$\n", "\n", "Or a more compact shorthand:\n", "\n", "$(1-\\Phi(L))Y_t=(1+\\Theta(L))\\epsilon_t$\n", "\n", "- Your turn: simulate an ARMA(1,1) and find its ACF and PACF" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Simulation" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "T=200\n", "y=np.zeros(T)\n", "epsilon=np.random.normal(0,0.1,T)\n", "for i in range(1,T):\n", " y[i]=0.8*y[i-1]+epsilon[i]+0.7*epsilon[i-1]\n", "fig, ax = plt.subplots(figsize=(25, 6))\n", "ax.plot(np.arange(T),y)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## ACF and PACF of ARMA(1,1)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "scrolled": false, "slideshow": { "slide_type": "-" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from statsmodels.graphics.tsaplots import plot_acf, plot_pacf\n", "fig, ax = plt.subplots(1,2,figsize=(15,6))\n", "plot_acf(y,ax=ax[0])\n", "plot_pacf(y,ax=ax[1])\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Summarise\n", "\n", "- Any stationary time series can be written as an MA($\\infty$).\n", "- ARMA models are a very flexible class of \n", " - linear models with \n", " - a finite number of parameters\n", " - that are very flexible\n", " - that can be easily estimated\n", " - and used for forecasting.\n", "- This is the theoretical justification for ARIMA models." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Putting `I` in ARIMA\n", "\n", "- The above only applies to stationary series\n", "- However we can difference data $d$ times to make data stationary. The final ARIMA model is\n", "\n", "$$(1-\\Phi(L))(1-L)^d Y_t=(1+\\Theta(L))\\epsilon_t$$\n", "\n", "- We also write that a model is ARIMA(p,d,q) where \n", "\n", " - $p$ is the number of AR terms\n", " - $d$ is the number of times we difference data\n", " - $q$ is the number of MA terms\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Box Jenkins" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "The Box Jenkins method has the following steps\n", "\n", "- Use unit root tests to determine whether a series is non-stationary. \n", " - If the series is non-stationary difference the series.\n", " - Keep going until the series is differenced enough to be stationary.\n", "- Inspect the ACF and PACF. \n", " - If the ACF is zero after some lag $q$ use an MA(q)\n", " - If the PACF is zero after some lag $p$ use an AR(p)\n", " - Otherwise use an ARMA model" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Problems with Box-Jenkins\n", "\n", "- Looking at ACF and PACF plots is subjective.\n", "- Difficult to apply to a large number of time series\n", "- Multiple testing problems.\n", "- Power can be low\n", "- No good guide on selecting ARMA order." ] } ], "metadata": { "celltoolbar": "Slideshow", "kernelspec": { "display_name": "Python3.9-virtualenv", "language": "python", "name": "python3.9-virtualenv" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.13" }, "rise": { "autolaunch": true, "enable_chalkboard": true, "scroll": true, "start_slideshow_at": "beginning" } }, "nbformat": 4, "nbformat_minor": 4 }