{ "cells": [ { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "notes" } }, "source": [ "# 2018-02-01 Convergence to Balanced Growth Path" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Setting up the Python/Jupyter environment" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "application/javascript": [ "\n", "IPython.OutputArea.prototype._should_scroll = function(lines) {\n", " return false;}" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%javascript\n", "\n", "IPython.OutputArea.prototype._should_scroll = function(lines) {\n", " return false;}" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# keep output cells from shifting to autoscroll: little scrolling\n", "# subwindows within the notebook are an annoyance..." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/delong/anaconda3/lib/python3.6/site-packages/statsmodels/compat/pandas.py:56: FutureWarning: The pandas.core.datetools module is deprecated and will be removed in a future version. Please use the pandas.tseries module instead.\n", " from pandas.core import datetools\n" ] } ], "source": [ "# set up the environment by reading in every library we might need: \n", "# os... graphics... data manipulation... time... math... statistics...\n", "\n", "import sys\n", "import os\n", "from urllib.request import urlretrieve\n", "\n", "import matplotlib as mpl\n", "import matplotlib.pyplot as plt\n", "from IPython.display import Image\n", "\n", "import pandas as pd\n", "from pandas import DataFrame, Series\n", "from datetime import datetime\n", "\n", "import scipy as sp\n", "import numpy as np\n", "import math\n", "import random\n", "\n", "import seaborn as sns\n", "import statsmodels\n", "import statsmodels.api as sm\n", "import statsmodels.formula.api as smf\n", "\n", "# report library versions..." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%matplotlib inline \n", "\n", "# put graphs into the notebook itself..." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# graphics setup: seaborn-whitegrid and figure size...\n", "\n", "plt.style.use('seaborn-whitegrid')\n", "\n", "figure_size = plt.rcParams[\"figure.figsize\"]\n", "figure_size[0] = 12\n", "figure_size[1] = 10\n", "plt.rcParams[\"figure.figsize\"] = figure_size" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 4.3.3 Understanding the Solow Model\n", "\n", "### 4.3.3.1 Deriving the Balanced Growth Path for Output per Worker\n", "\n", "Along what path for output per worker will the balanced-growth equilibrium condition be satisfied? Y/L is, after all, our best simple proxy for the economy’s overall level of prosperity: for material standards of living and for the possession by the economy of the resources needed to diminish poverty. Let’s calculate the level of output per worker Y/L along the balanced-growth path.\n", "\n", "Begin with the capital-output ratio version of the production function that we just calculated above:\n", "\n", "(4.3.5)          \n", "$ \\left(\\frac{Y}{L}\\right) = \\left(\\frac{K}{Y}\\right)^{\\frac{α}{1-α}} \\left(E\\right) $\n", "\n", "Since the economy is on its balanced-growth path, it satisfies the equilibrium con dition K/Y = s/(n + g + δ). Substitute that in:\n", "\n", "(4.3.6)          \n", "$ \\left(\\frac{Y}{L}\\right) = \\left(\\frac{s}{n+g+δ}\\right)^{\\frac{α}{1-α}} \\left(E\\right) $\n", "\n", "s, n, g, δ, and α are all constants, and so [s/(n + g + δ)](α/(1-α));is a constant as well. This tells us that along the balanced-growth path, output per worker is simply a constant multiple of the efficiency of labor, with the multiple equal to:\n", "\n", "(4.3.7)          \n", "$ \\left(\\frac{s}{n+g+δ}\\right)^{\\frac{α}{1-α}} $\n", "\n", "Over time, the efficiency of labor grows. Each year it is g percent higher than the last year. Since along the balanced-growth path output per worker Y/L is just a constant multiple of the efficiency of labor, it too must be growing at the same proportional rate g.\n", "\n", "Now it is time to introduce time subscripts, for we want to pay attention to where the economy is now, where it was whence, and where it will be when. So rewrite (4.3.6) as:\n", "\n", "(4.3.8)          \n", "$ \\left(\\frac{Y_t}{L_t}\\right) = \\left(\\frac{s}{n+g+δ}\\right)^{\\frac{α}{1-α}} \\left(E_t\\right) $\n", "\n", "Paying attention to the equations for how labor efficiency and the labor force grow over time, $ E_t = E_0(1 + g)^t $ and $ L_t = L_0(1 + n)^t $, we can plug in and solve for what Y/L and Y will be at any time t—as long as the economy is on its balanced-growth path.\n", "\n", "----\n", "\n", " " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 4.3.3.2 Interpreting the Balanced Growth Path for Output per Worker\n", "\n", "We now see how capital intensity and technological and organizational progress drive economic growth. Capital intensity—the economy’s capital-output ratio—determines what is the multiple of the current efficiency of labor E that balanced-growth path output per worker Y/L is. Things that increase capital intensity—raise the capital-output ratio—make balanced-growth output per worker a higher multiple of the efficiency of labor. Thus they make the economy richer. Things that reduce capital intensity make balanced-growth output per worker a lower multiple of the efficiency of labor, and so make the economy poorer.\n", "\n", "Suppose that α is 1/2, so that α/(l—α) is 1, and that s is equal to three times n + g + δ, so that the balanced-growth capital-output ratio is 3. Then balanced-growth output per worker is simply equal to three times the efficiency of labor. If we consider another economy with twice the saving rate s, its balanced-growth capital-output ratio is 6, and its balanced-growth level of output per worker is twice as great a multiple of the level of the efficiency of labor.\n", "\n", "The higher is the parameter α—that is, the slower diminishing returns to investment set in—the stronger is the effect of changes in the economy’s balanced-growth capital intensity on the level of output per worker, and the more important are thrift and investment incentives and other factors that influence s relative to those that influence the efficiency of labor.\n", "\n", "Note—this is important- that changes in the economy’s capital intensity shift the balanced-growth path up or down to a different multiple of the efficiency of labor, but the growth rate of Y/L along the balanced-growth path is simply the rate of growth g of the efficiency of labor E. The material standard of living grows at the same rate as labor efficiency. \n", "\n", "To change the very long run growth rate of the economy you need to change how fast the efficiency of labor grows. Changes in the economy that merely alter the capital-output ratio will not do it.\n", "\n", "This is what tells us that technology, organization, worker skills—all those things that increase the efficiency of labor and keep on increasing it—are ultimately more important to growth in output per worker than saving and investment. The U.S. economy experienced a large increase in its capital-output ratio in the late nineteenth century. It may be experiencing a similar increase now, as we invest more and more in computers. But the Gilded Age industrialization came to an end, and the information technology revolution will run its course. Aside from these episodes, it is growth in the efficiency of labor E that sustains and accounts for the lion’s share of long-run economic growth.\n", "\n", "----\n", "\n", " " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 4.3.3.3 Off the Balanced Growth Path\n", "\n", "To calculate what output per worker would be if the economy were to be on its balanced-growth path is a straightforward three-step procedure:\n", "\n", "1. Calculate the balanced-growth equilibrium capital-output ratio s/(n + g + δ), the saving rate s divided by the sum of the labor-force growth rate n, the efficiency of labor growth rate g, and the depreciation rate δ.\n", "2. Raise the balanced-growth capital-output ratio to the α/(l-α) power, where α is the diminishing-retums-to-investment parameter in the production function. \n", "3. Multiply the result by the current value of the efficiency of labor E. The result is the current value of what output per worker would be if the economy were on its balanced growth path, and the path traced out by that result as E grows over time is the balanced-growth path for output per worker.\n", "\n", "But is this of use if the economy is not on its balanced growth path?\n", "\n", "How can we use a model which assumes that the economy is on its balanced-growth path to analyze a sit uation in which the economy is not on that path? We still can use the model—and this is an important part of the magic of economics—because being on the balanced-growth path is an equilibrium condition. In an economic model, the thing to do if an equilibrium condition is not satisfied is to wait and, after a while, look again. When we look again, it will be satisfied.\n", "Whenever the capital-output ratio K/Y is above its balanced-growth equilibrium value s/(n + g + δ), K/Y is falling: Investment is insufficient to keep the capital stock growing as fast as output. Whenever K/Y is below its balanced-growth equilibrium value, K/Y is rising: Capital stock growth outruns output. And as the capital-output ratio converges to its balanced-growth value, so does the economy’s level of output per worker converge to its balanced-growth path.\n", "\n", "The fact that an economy converges to its balanced-growth path makes analyzing the long-run growth of an economy relatively easy as well even when the economy is not on its balanced-growth path:\n", "\n", "1. Calculate the balanced-growth path.\n", "2. From the balanced-growth path, forecast the future of the economy: If the\n", "economy is on its balanced-growth path today, it will stay on that path in the future (unless some of the parameters—n, g, δ, s, and α—change).\n", "3. If those parameters change, calculate the new, shifted balanced-growth path and predict that the economy will head for it.\n", "4. If the economy is not on its balanced-growth path today, it is heading for that path and will get there eventually.\n", "\n", "Thus _long run_ economic forecasting becomes simple. All you have to do is predict that the economy will head for its balanced-growth path, and calculate what the balanced-growth path is.\n", "\n", "----\n", "\n", " " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 4.3.3.4 Converging to the Balanced Growth Path\n", "\n", "How fast does an economy head for its balanced-growth path? Does the convergence of an economy following the Solow growth model to its balanced-growth path take a year, or five years, or is it a matter of decades?\n", "\n", "It is a matter of decades. But to see this requires more algebra:\n", "\n", "Those of you for whom calculus is a tool and an intellectual force multiplier rather than a ritualistic obstacle to thought can start with the output form of the production function:\n", "\n", "(4.3.9)          \n", "$ Y = K^α(EL)^{(1-α)} $\n", "\n", "Take first logarithms, and then derivatives to obtain:\n", "\n", "(4.3.10)          \n", "$\\frac{d(ln(Y_{t}))}{dt} = \\alpha\\frac{d(ln(K_t))}{dt} + (1-\\alpha)\\frac{d(ln(E_t))}{dt} + (1-\\alpha)\\frac{d(ln(L_t))}{dt}$\n", "\n", "Note that since the derivative of a logarithm is simply a proportional growth rate, that (4.3.10) is an equation that tells us that—on or off of the balanced-growth path—the proportional growth rate of output is a function of the parameter α and of the growth rates of the capital stock, the labor force, and the efficiency of labor.\n", "\n", "To keep those of you for whom math is not so much a tool and intellectual force multiplier on the same page, we are simply going to write \"gx\" for the proportional growth rate of an economic variable X. Thus gY is the proportional growth rate of output Y. gK is the proportional growth rate of the capital stock K. And so forth. \n", "\n", "(4.3.10) can then become a friendlier form: an equation about growth rates, an equation the truth of which isbuilt into the definitions of logarithms, proportional growth rates, and the Cobb-Douglas production function:\n", "\n", "(4.3.10')          \n", "$ g_Y = αg_K + (1-α)g_L + (1-α)g_E $\n", "\n", "We know what the proportional growth rates of the labor force L and labor efficiency E are in the Solow model: they are n and g:\n", "\n", "(4.3.11)          \n", "$ g_Y = αg_K + (1-α)(n + g) $\n", "\n", "Now subtract both sides of this from the growth rate of the capital stock:\n", "\n", "(4.3.12)          \n", "$ g_K - g_Y = (1-α)g_K - (1-α)(n + g) $\n", "\n", "We are almost done. Then to determine what the growth rate of the capital stock is, we simply take its change, sY - δK, and divide it by its level, K—but only on the right hand side:\n", "\n", "(4.3.13)          \n", "$ g_K - g_Y = (1-α)\\left(s\\left(\\frac{Y}{K}\\right) - δ\\right) - (1-α)(n + g) $\n", "\n", "The proportional growth rate of the quotient of two variables is just the difference between the proportional growth rates of the numerator and the denominator. Thus the left hand side is:\n", "\n", "(4.3.14)          \n", "$ g_{K/Y} = (1-α)s\\left(\\frac{Y}{K}\\right) - (1-α)(n + g + δ) $\n", "\n", "And since the proportional growth rate of a variable is its rate of change divided by its level, the left hand side is:\n", "\n", "(4.3.15)          \n", "$ \\frac{d(K/Y)/dt}{K/Y} = (1-α)s\\left(\\frac{Y}{K}\\right) - (1-α)(n + g + δ) $\n", "\n", "Getting rid of the denominator on the left-hand side:\n", "\n", "(4.3.16)          \n", "$ \\frac{d(K/Y)}{dt} = (1-α)s - (1-α)(n + g + δ)\\left(\\frac{K}{Y}\\right) $\n", "\n", "(4.3.17)          \n", "$ \\frac{d(K/Y)}{dt} = - (1-α)(n + g + δ)\\left(\\frac{K}{Y} - \\frac{s}{n + g + δ}\\right) $\n", "\n", "This equation tells us three things:\n", "\n", "* When the capital-output ratio K/Y is equal to s/(n+g+δ), it is indeed the case that it is stable.\n", "\n", "* When K/Y is above that s/(n+g+δ) value, it is falling; when it is below, it is rising.\n", "\n", "* The speed with which it is falling or rising is always proportional to the gap between K/Y and s/(n+g+δ), with the factor of proportionality equal to (1-α)(n+g+δ)\n", "\n", "----\n", "\n", " " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 4.3.3.5 Solving for the Time Path of the Capital-Labor Ratio\n", "\n", "This march through algebra has just confirmed the arguments made so far. So what extra good—besides serving as a check on correctness—has this algebra done us?\n", "\n", "It has done us good because equation (4.3.17) is a very special equation: it has a rate of change of something on the left hand side. It has the level of something on the right hand side. It has a negative constant multiplying the level. It is a _convergent exponential_. The function that satisfies this equation is:\n", "\n", "(4.3.18)          \n", "$ \\frac{K_t}{Y_t} = \\frac{s}{\\delta + n + g} + \\left(C - \\frac{s}{\\delta + n + g}\\right) e^{-(1 - \\alpha)(\\delta + g + n)t} $\n", "\n", "for the appropriate constant C.\n", "\n", "What is the value of this constant C? Well, we know what the capital-output ratio is right now, when we start our analysis, which we might as well take to be the time t = 0. If we do take now to be time t = 0, and take K0/Y0 for the capital output tday, then we can substitute in for the constant C:\n", "\n", "(4.3.19)          \n", "$ \\frac{K_t}{Y_t} = \\frac{s}{\\delta + n + g} + \\left(\\frac{K_0}{Y_0} - \\frac{s}{\\delta + n + g}\\right) e^{-(1 - \\alpha)(\\delta + g + n)t} $\n", "\n", "This tells us that, when it is off the equilibrium balanced-growth path, the capital-output ratio of a Solow growth model economy is a weighted average of (a) its initial capital-output ratio K0/Y0 and (b) its long-run balanced-growth capital-output ratio s/(n+g+δ), with the weight placed on the first declining exponentially according to the function exp(-(1-α)(n + g + δ)t)\n", "\n", "This tells us that, in the Solow growth model, an economy will close a fraction (1 — α)(n + g + δ) of the gap between its current position and the balanced-growth path each year. If (1 — α)(n + g + δ) turns out to be equal to 0.05, the capital-output ratio will close 5 percent of the gap between its current level and its balanced-growth value each year. It would close half of the gap in fourteen years. It would close three-quarters of the gap in 28 years.\n", "\n", "The Solow growth model is thus definitely a long-run model. It predicts that in the short run things will pretty much stay as they have been. If that is not right—if there are interesting and important fluctuations in the short run—the Solow model knows nothing about them. For them we will have to turn to the models of Chapter 6 and beyond." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# convergence to the balanced growth path\n", "#\n", "# we need to alter our dataframe in order to add a BGP line\n", "#\n", "# # we are going to want to see what happens for lots of\n", "# different model parameter values and initial conditions,\n", "# so stuff our small simulation program inside a function, so \n", "# we can then invoke it with a single line...\n", "\n", "def sgm_bgp_100yr_run(L0, E0, K0, n=0.01, g=0.02, s=0.15, alpha=0.5, \n", " delta=0.03, T = 100):\n", "\n", " sg_df = pd.DataFrame(index=range(T),columns=['Labor', \n", " 'Efficiency',\n", " 'Capital',\n", " 'Output',\n", " 'Output_per_Worker',\n", " 'Capital_Output_Ratio',\n", " 'BGP_Output',\n", " 'BGP_Output_per_Worker',\n", " 'BGP_Capital_Output_Ratio',\n", " 'BGP_Capital'],\n", " dtype='float')\n", "\n", " sg_df.Labor[0] = L0\n", " sg_df.Efficiency[0] = E0\n", " sg_df.Capital[0] = K0\n", " sg_df.Output[0] = (sg_df.Capital[0]**alpha * (sg_df.Labor[0] * \n", " sg_df.Efficiency[0])**(1-alpha))\n", " sg_df.Output_per_Worker[0] = sg_df.Output[0]/sg_df.Labor[0]\n", " sg_df.Capital_Output_Ratio[0] = sg_df.Capital[0]/sg_df.Output[0]\n", " \n", " sg_df.BGP_Capital_Output_Ratio[0] = (s / (n + g + delta))\n", " sg_df.BGP_Output_per_Worker[0] = sg_df.Efficiency[0] * (\n", " sg_df.BGP_Capital_Output_Ratio[0]*(alpha/(1 - alpha)))\n", " sg_df.BGP_Output[0] = sg_df.BGP_Output_per_Worker[0] * sg_df.Labor[0]\n", " sg_df.BGP_Capital[0] = sg_df.Labor[0] * sg_df.Efficiency[0] * (\n", " sg_df.BGP_Capital_Output_Ratio[0]*(1/(1 - alpha)))\n", "\n", " for i in range(T):\n", " sg_df.Labor[i+1] = sg_df.Labor[i] + sg_df.Labor[i] * n\n", " sg_df.Efficiency[i+1] = sg_df.Efficiency[i] + sg_df.Efficiency[i] * g\n", " sg_df.Capital[i+1] = sg_df.Capital[i] - sg_df.Capital[i] * delta + (\n", " sg_df.Output[i] * s)\n", " sg_df.Output[i+1] = (sg_df.Capital[i+1]**alpha * \n", " (sg_df.Labor[i+1] * sg_df.Efficiency[i+1])**(1-alpha))\n", " sg_df.Output_per_Worker[i+1] = sg_df.Output[i+1]/sg_df.Labor[i+1]\n", " sg_df.Capital_Output_Ratio[i+1] = (sg_df.Capital[i+1]/\n", " sg_df.Output[i+1])\n", " sg_df.BGP_Capital_Output_Ratio[i+1] = (s / (n + g + delta))\n", " sg_df.BGP_Output_per_Worker[i+1] = sg_df.Efficiency[i+1] * (\n", " sg_df.BGP_Capital_Output_Ratio[i+1]**(alpha/(1 - alpha)))\n", " sg_df.BGP_Output[i+1] = (sg_df.BGP_Output_per_Worker[i+1] * \n", " sg_df.Labor[i+1])\n", " sg_df.BGP_Capital[i+1] = (s / (n + g + delta))**(1/(1-alpha)) * (\n", " sg_df.Efficiency[i+1] * sg_df.Labor[i+1])\n", " \n", " fig = plt.figure(figsize=(12, 12))\n", "\n", " ax1 = plt.subplot(3,2,1)\n", " sg_df.Labor.plot(ax = ax1, title = \"Labor Force\")\n", " plt.ylabel(\"Parameters\")\n", " plt.ylim(0, )\n", "\n", " ax2 = plt.subplot(3,2,2)\n", " sg_df.Efficiency.plot(ax = ax2, title = \"Efficiency of Labor\")\n", " plt.ylim(0, )\n", " \n", " ax3 = plt.subplot(3,2,3)\n", " sg_df.BGP_Capital.plot(ax = ax3, title = \"BGP Capital Stock\")\n", " sg_df.Capital.plot(ax = ax3, title = \"Capital Stock\")\n", " plt.ylabel(\"Values\")\n", " plt.ylim(0, )\n", "\n", " ax4 = plt.subplot(3,2,4)\n", " sg_df.BGP_Output.plot(ax = ax4, title = \"BGP Output\")\n", " sg_df.Output.plot(ax = ax4, title = \"Output\")\n", " plt.ylim(0, )\n", "\n", " ax5 = plt.subplot(3,2,5)\n", " sg_df.BGP_Output_per_Worker.plot(ax = ax5, \n", " title = \"BGP Output per Worker\")\n", " sg_df.Output_per_Worker.plot(ax = ax5, title = \"Output per Worker\")\n", " plt.xlabel(\"Years\")\n", " plt.ylabel(\"Ratios\")\n", " plt.ylim(0, )\n", "\n", " ax6 = plt.subplot(3,2,6)\n", " sg_df.BGP_Capital_Output_Ratio.plot(ax = ax6, \n", " title = \"BGP Capital-Output Ratio\")\n", " sg_df.Capital_Output_Ratio.plot(ax = ax6, \n", " title = \"Capital-Output Ratio\")\n", " plt.xlabel(\"Years\")\n", " plt.ylim(0, )\n", "\n", " plt.suptitle('Solow Growth Model: Simulation Run', size = 20)\n", "\n", " plt.show()\n", " \n", " print(n, \"is the labor force growth rate\")\n", " print(g, \"is the efficiency of labor growth rate\")\n", " print(delta, \"is the depreciation rate\")\n", " print(s, \"is the savings rate\")\n", " print(alpha, \"is the decreasing-returns-to-scale parameter\")" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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cOHr0KG+//TY7duwAICUlhT/++ANdXV1+/fVXIiIi2LJlC/r6+rz33nvq/UVH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aiUClbMDeDO+UE42o+vJB0G2jL+v4x/0NbXQaxHOE8krENjbblNQgRBEL7NZJY4X9HLPw4fpbZZ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\n7HQGExnn6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vj3rVu3fufxlJQUUlJSLjtma2vLW2+99Z1zY2Ji2LFjx9AHKQzq6O4nu6CZ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\nCHE/KYpCfnUhl0szuFyazuXSdDIqclDSFP1jHG0c6OYTTgf39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aIouNu7MS1iHMM7DMDJ\nxtHQ5Qlx2ySsC9EK1NSpOXA6h52xWaTlNa9Y4OFqx5QhHRjRO8gkwvkVFfWVfHtuMwfSj6Og0Dsg\nmtndpuLt5Gno0oQQRkpRFM4VJrM5eQfnCi8CEOQWwIROI+gf2FNWdRGtmoR1IYyUTqeQmFbCrtgs\njp7NQ92kw9JCRb+uvozqE2QSc9GvptZq2HZpLxsvbKehqZEgV3+e6j6NSO/Ohi5NCGGkdIqOEznx\n/JD0E+nl2QB09e7EpM6jZT66MBkS1oUwMiUV9ew5mcXuk1kUlNYB4OfhyMg+QQzv2Y42LqY1DURR\nFGJzzrAqYSNFtaU42zoxu9sjDA8ZgIVF69tJVQhx/zXptBzJPMmmpB3kVhegQkXfgB5MCh9FB/cg\nQ5cnxD0lYV0II6DWaIk9X8DuE1nEXypCp4CtjSUP9WzHqD5BRAS7m+QIUVpZFl/Hryep+DKWKgvG\ndxzOI13G4WjjYOjShBBGSKPVcCDjOJuSdlBUW4qlyoJhwf2Z1HkkfrI+ujBREtaFMBBFUUjJqWDP\nyWwOnM6hpl4DQKfANozsE8igaP9Wu7vozZTXV/LdVfPSY/y6Mjv6EfycvQ1dmhDCCKm1GvamHWFz\n0k5K68uxtrBiTOhQJnYeiYeju6HLE+K+krAuxANWXtXA/tM57DmZRWZBNQBuzrZMHRrK8F7tCPRx\nMXCF94+6Sc3Wi7vZlLyTxqZGAn+el95V5qULIa5Bo9WwJ+0Im5J2UFZfgY2lNeM7DmdC55G0sXc1\ndHlCPBAS1oV4ANQaLScuFLDnZDanLxah0ylYWaroH+XLiF6B9OjkhaWl6c7P1ik6jmadYvXZTZTW\nleNq68xT0Y/wULDMSxdC/FqTtom96Uf54cJPlNaXY2tpw8TOI5nQaQSudqY7oCHEtUhYF+I+URSF\n5Ixy9sZlcyg+l9qfp7mEtnNjeM92DO4egIujjYGrvP+Si1P4On49qWWZ+vXSJ4ePxsHadJabFLdP\nq9Xy5ptvkp6ejkql4k9/+hMdO3Y0dFnCwHSKjn1pR1l//keK68qwsbRmQqcRTOw8UkK6MFsS1oW4\nx/JLatkfl82+uBzyS2uB5p1Fx/QNYlhMO4J8zeOEU1BTzOqEH4jNOQNA/3YxzIyajJeTh4ErE8Zg\n3759AKxZs4bY2Fg+/PBDPvnkEwNXJQxFp+g4nn2Gb7I2UJZaibWFFePChjE5fDRuMt1FmDmTCesa\njYb58+eTm5uLhYUFb7/9Nh06dDB0WcJMVNepORSfy/64HJIyyoDm1VyGxgQwLKYd3cI8TWpN9Bup\nUdey4fx2fkrZj1anJaxtME9FT6OjR4ihSxNGZMSIEQwdOhSAvLw8XFzM402saElRFBIKkvju7CbS\nK7KxQMWIkIE80mUcbR3aGLo8IYyCyYT1AwcO0NTUxJo1azhy5Aj/+Mc/+Pjjjw1dljBhao2WkxcK\n2ReXTVxyIU1aBZUKosM8GdYzgH5d/bC3NZl/YjfVpG1iR8oB1l/YRq26Dk/HtsyKmky/djEmueyk\nuHtWVla88cYb7Nq1i48++sjQ5YgHLKU0g9Vnf+B80SVUqBgY2IsIVTAjeg0zdGlCGBWTSRLBwcFo\ntVp0Oh01NTVYWZlM04QR0eoUzqUUs/90DsfO5VPX0ARAe18XhsUEMKRHAG1dzWsu9pVNjVaf3URh\nTTEO1vY80W0KY8KGYWNpmktPintn+fLlvPbaazz22GP8+OOPODhcf439uLi4B1iZcTDFNperKzlQ\ndoqLNekAhDi0Y0jbnnjZtAVMs803I20WN2LwRJuVlUV8fDwTJkzgrbfe4sKFCyxYsICePXve1nEc\nHBzIzc1l7NixlJeX8+mnn96nioW5URSFy9kVHDiTw+H4XMqqGgHwcLNnbL/2DI1pR3szmYf+SxdL\nUlkZv5FLpWlYqiwYGzaMR7qMw8XWydClCSO3adMmCgsLef7557G3t0elUt10ZaCYmJgHVJ1xiIuL\nM6k2VzXWsOH8NnZmH0Cr6Ah1b88T3aYQ4fX/Lyw2tTbfCmmzebibNycGD+sLFizgiSeeYM+ePWRk\nZLBgwQLee+891q1bd1vH+eqrrxg4cCCvvvoq+fn5PPXUU2zduhVbW9vrPscc39VJm29dUaWGxIw6\nEjPrKatpHkG3s1ERE+pI1/YOBHraYKFqoDTvMqV597Liu3e/f89l6koOlp7iYm3zyFhHx/YMadsL\nd8WVy4kX7+trX4s5/l23dqNGjWLBggXMmjWLpqYmFi5ciJ2dnaHLEveBRqth++V9bLzwE3Waeryd\nPJkZNYm+AT1kipwQt8DgYb2xsZGxY8eyaNEiJkyYQM+ePWlqarrt47i4uGBt3fyRu6urK01NTWi1\n2hs+xxzf1Umbb6ygtJZD8bkcPJNLRn4V0Hyh6ODu/gzpEUD3jl5YWxn3uuD38/dc1VjD+vM/siv7\nIFpFR5h7e2ZHT6Ozp+Eu5jbXv+vWzsHBgX/+85+GLkPcR1emyK1K2EhRbSmONg48FT2N0aFDsLI0\nePwQotUw+L8WS0tLduzYwf79+3n55ZfZvXv3HW2S8vTTT7Nw4UJmzpyJRqPhlVdeueHcRyGuKK2s\n51B8Hofjc7mYVQ6AlaWK3hE+DO7uT58uPtiZ0YWi19LYpGbbpb1sSt5BvaYBbydPZkVNpk9AdxkZ\nE0L8SlpZFl/Hf09ScQqWKgse7jicRyLG4mTraOjShGh1DJ5A/vznP/PVV1+xZMkSvLy8+PHHH1m2\nbNltH8fR0VFGacQtK69q4OjZPA4l5HEhvRRFAYufV3IZ3N2ffl19cXIw/Q2Lbkan07E/4zjrErdS\nVl+Bs40jT3d/lFEdBsvImBDiVyobqvju3Bb2pR1FQaGnfzdmd5uKr7OXoUsTotUy+Nm2U6dOPP30\n05w8eZKvvvqK5557js6dOxu6LGGCyqsaOHounyMJeSSmlaAooFJBRHBbBnf3p39XP9ycr3+NgzlR\nFIUz+YmsTviB7Kp8rC2tmRI+hkmdR+FgY16r3Qghbq5Jp2VnygHWJm6lXtNAOxdfnur+KFE+4YYu\nTYhWz+BhfdOmTfzrX/9ixIgR6HQ6fve73zF37lymTZtm6NKECaiu1/LjkXSOJORxPq0EndJ8e3h7\ndwZF+9M/ytfsllq8mZTSDFYlbORC8WVUKhXDgvvzWOR42aBECHFNiYUX+fL0WrKr8nG0tmdOj+mM\n7DAISwtLQ5cmhEkweFj/8ssv+f7772nTpjkIvPDCCzz55JMS1sUdK62s5+jZfI6czeN8WimQD0Dn\noDY/B3Q/PNwkoP9SfnUR353dzPGc0wD08I1kZtRkAt38DVyZEMIYldVX8E38Bo5mnUKFiuEhA3m8\n60Rc7JwNXZoQJsXgYV2n0+mDOoC7u7tcsCZuW2FZHcfO5XH0bD5JGWVA8xSXQE8bRg/oSP+uEtCv\np6K+kvXnt7En7bB+hZdZv1j7WAghrtDqtPx0eT/rEv9HfVMDHdyDeKbHDELbtjd0aUKYJIOH9U6d\nOvHOO+/oR9LXr18vc9bFLckurObYuXyOncsjJacSaL5ItGsHDwZE+dK3qy8ZKReIiTHcsoLGrE5T\nz5bkXfx4cQ+NWjW+zl483nWSrPAihLiuy6XpfH7qWzIrcnC0ceC5njN5KHjAHa3iJoS4NQYP68uW\nLeOjjz5i4cKFKIpCnz59WLJkiaHLEkZIURRScyv1AT27sAYASwsV3Tt60j/Kj76Rvi0uEs0wUK3G\nTKPVsCPlID9c2E61uhY3OxeejJ7GsJD+WMkcUyHENdSq6/ju7GZ2pR5CQWFocD+e6DZVdisW4gEw\neFi3s7Pj9ddfN3QZwkhptTouZJRx/Fw+xxPzKSqvB8DGyoI+XXzoH+VH7whvWWbxFuh0Og5mxvJ9\n4v8orivD3tqOGV0nMq7jQ9hZySo4Qohfu7Kx0YrTa6loqMLfxYdnY2YS4RVm6NKEMBsGC+tTpkzh\nhx9+oHPnzi0+clcUBZVKRVJSkqFKEwbWoG4i/lIxsYkFnLhQQFWtGgAHOyuGdA+gX5QvMZ28zH6j\nolulKApxeef47txmsivzsLawYnzH4UyJGIOzjIoJIa6jpK6M/8atIS7vHNYWVszoOpGJnUbKHgtC\nPGAG+xf3ww8/AJCcnPyr+9Rq9YMuRxhYZU0jJy8UcDyxgDOXilFrtAC0cbZlbL/29I30pWuoB9ZW\nMi/ydlwousy3ZzdxqTQNlUrF0OB+PNZlPB6O7oYuTQhhpHSKjt2ph1idsIn6pga6eHXk2Z4z8XP2\nNnRpQpglg789nj59OmvXrtV/r9PpeOSRR9i6dasBqxIPQm5xDbGJ+cSeLyA5o0y/BnqAlxN9I33p\nG+lDWLs2WFjIxY63K708mzXnNnMm/zwAvf2jmdF1IgGuvgauTAhhzPKri/j05EqSilNwsLbnhV6z\nGRbcTy46F8KADBbWn3zySU6cOAHQYvUXKysrHnroIUOVJe6jK/PPT5wv4OSFAnKLa4HmFVw6BbnT\nN9KHPpG++HvK1Iw7lV9dxOaCvSSnpAHQxasjM6MmE9Y22MCVCSGMmU6n48dLe1mTuAWNVkPvgGie\n6TGDNvauhi5NCLNnsLD+zTffAM2rwbz55puGKkPcZzV1auKSizh5oZC45EJq6jUA2NlY0q+rL326\n+NAz3BtXJ7nA8W6U1pWz/vw29qUfRafo6NAmiMejJtHVu7OMiAkhbii3qoB/n/iGy6XpuNg68bs+\nT9GvXYyhyxJC/Mzg02DmzZvHrl27qK1tHmXVarXk5OTw8oy9AoIAACAASURBVMsvG7gycScURSGn\nqIaTFwo5mVTAhfQydD/Pb/FwtWPQ/2vvzuOqrPP+j7/gsAoigoKKKyqyuCHuuZWlp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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "0.005 is the labor force growth rate\n", "0.01 is the efficiency of labor growth rate\n", "0.03 is the depreciation rate\n", "0.225 is the savings rate\n", "0.5 is the decreasing-returns-to-scale parameter\n" ] } ], "source": [ "sgm_bgp_100yr_run(1000, 1, 100, n=0.005, g=0.01, \n", " s=0.225, alpha=0.5, delta=0.03)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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yZAmWLVsGV1dXhIWFYcOGDdi+fTtSUlIwadIk7N69W61X2NDQEOvXr8f48eOh\nUCjw119/ITg4GO7u7vDz83vvjTAcHBywY8cOeHh4IDQ0FJs3b8arV68wevRobN++PVvPRP369cXh\nn1SBGsh4w1dNz+vtuF1dXXHw4EF89913qFSpknjDldOnT6N27dr4+uuvERgYiLFjx4pfM79Lfs6J\nqoxFVW+tojpGTR8YPDw80LFjR0RFRWHLli2SDd+miepmMAByvJAxs3bt2mHLli1o3rw5goKCxJEL\nJk+ejPXr16v1ajZs2BB//fUXmjdvjhMnTmD//v1o2bKlxrvCmZubY9u2bfjss8/w5MkTcUSVVq1a\nYdu2bWrPCU0CAgKwbNkyjXfsy8ra2hqHDh3ChAkTYGFhgaNHj4o3SalXrx7WrFmT44gpUqpUqRI2\nbNgAZ2dnnDp1Ctu3b4e1tTW2bNny3lBnaWmJdevWwcnJCcHBwdiyZQsiIiIwcOBAHDx4EGZmZggK\nChK/ns/tcyqvr9sPoX///rC1tcXTp0/FXt6CnLv32bBhA5YtW6axPlqTuLg4XLhwQeO/zCVQU6dO\nxS+//IJq1arB398fBw8eRK1atbB06VJ8/fXXatv8/PPPMWfOHFSoUAE7d+7EmTNnMHjwYIwZMwZA\nzhfSZjZ06FDs3LkT3t7eiI2NxbZt27Bhwwbcu3cPffr0wYEDB7KN3DN27FgsWrQIVatWxd69e+Hv\n7w87Ozts2rRJvDi8ZcuWWLRoEWrWrAl/f3/s3r0bKSkpmD59On7//XcAyPbNR2ZGRkbYsGEDvvji\nC6SkpGDLli04efIkHBwcsGHDBvEGO0QFpSMU9qXKREREVOS9fPkS6enpGkcLWbJkCZYvX47t27dr\nHKqPiN5izzURERHh/PnzaN68ebah6l68eIHdu3ejfPnyBb4VPFFpwJprIiIigqurK6pVq4bly5cj\nLCwMcrkcr1+/RkBAAF6+fAlfX98PelEpUXHFshAiIiICkDGqzu+//44TJ07g8ePHMDExQYMGDTBs\n2DA4Oztru3lExQLDNRERERGRRFhzTUREREQkEYZrIiIiIiKJMFwTEREREUmE4ZqIiIiISCIM10RE\nREREEmG4JiIiIiKSCMM1EREREZFEGK6JiIiIiCTCcE1EREREJBGGayIiIiIiiTBcExERERFJhOGa\niIiIiEgiDNdERERERBJhuCYiIiIikgjDNRERERGRRBiuiYiIiIgkwnBNRERERCQRhmsiIiIiIokw\nXBMREREC8bxiAAAgAElEQVQRSYThmoiIiIhIIgzXREREREQSYbgmIiIiIpIIwzURERERkUQYromI\niIiIJMJwTUREREQkEYZrIiIiIiKJMFwTEREREUmE4ZqIiIiISCIM10REREREEmG4JiIiIiKSCMM1\nEREREZFEGK6JiIiIiCTCcE1EREREJBGGayIiIiIiiTBcExERERFJhOGaiIiIiEgiDNdERERERBJh\nuCYiIiIikgjDNRERERGRRBiuiYiIiIgkwnBNRERERCQRhmsiIiIiIokwXBMRERERSYThmoiIiIhI\nIgzXREREREQSYbgmIiIiIpIIwzURERERkUQYromIiIiIJMJwTUREREQkEYZrIiIiIiKJMFwTERER\nEUmE4ZqIiIiISCIM10REREREEmG4piIhOjoajRo1yvN6NjY2ePHihaTt+OSTT9CtWze1f7/++qtk\n+yAi0jYbGxt06dIl23tddHQ0AGDGjBlo1aoVFi1ahNOnT8Pd3R3e3t7YsmULVq9e/c5tjxgxAnfv\n3v0Qh5EnmY8jOTlZbV5+/pa0atUKYWFhUjaRSgiZthtAVNQYGRlh79692m4GEVGh+vPPP2Fubq5x\nnp+fH06cOIEqVapg2rRp6NmzJ8aMGZOr7a5Zs0bKZkpm//79eToOovxiuKYiLyIiAjNnzkRiYiJi\nY2NRt25dLF68GIaGhgCAxYsXIywsDEqlEhMmTIC7uzsAYPny5di/fz/09PRQq1Yt/PDDD7CwsMDA\ngQNRvnx53L9/H3379sXAgQNz3ZaAgAAsW7YM6enpMDU1xbRp02BnZ4elS5fiypUriI2NhY2NDXx9\nffHLL7/gxIkT0NPTQ6NGjTBjxgwYGBhgxYoVOHLkCJRKJapVq4YZM2bA0tKyUM4dEVFe9evXD4Ig\nYMSIEejQoQOOHTsGQ0NDxMXFwcTEBC9fvsT06dMRERGB6dOn48WLF9DV1cXo0aPh4eGBVq1a4ddf\nf4WtrS2OHz+OFStWQKFQwMjICFOmTEGjRo2wdOlSxMTE4OnTp4iJiYG5uTkWLVoES0tLjdu1tLTE\nxIkTERgYCF1dXSQlJaFVq1bYt28fKlasKLZdoVDA19cX586dg56eHuzs7DBt2jRs3bpV7TimTJmS\nq3Px7NkzTJ8+Hc+fP8fTp09RrVo1LF68WNznli1bcPPmTaSmpmLo0KHo0aMHgIwPJxs3boSuri4q\nVaqEH374AbVq1cLUqVPx6tUrREVFoWXLlvjmm2+k/wWS1jFcU5G3bds2dO/eHd26dYNCoYCXlxdO\nnDiB9u3bAwCqV6+OmTNn4vbt2xg4cCAOHjyIwMBABAUFYceOHTAxMcHSpUsxdepU/PHHHwCAcuXK\n4cCBAxr3l5ycjG7duomP9fT0sGvXLty7dw8zZszA1q1bUaNGDZw7dw5jxozBoUOHAAAxMTHYt28f\nZDIZNmzYgBs3bmDv3r0wMDDAxIkTxf3dvn0b27dvh0wmg5+fH77//vsi29NDRCXX4MGDoav7tjq0\nevXqWL58ObZs2QIbGxuxZzsqKgp16tTBsGHDsHTpUnH5iRMnokePHujfvz8ePXqEgQMHokWLFuL8\nBw8eYNGiRdiwYQMqVKiAO3fuYOjQoThy5AgA4NKlS9izZw9MTU0xatQo+Pn5Yfz48Rq3u2fPHpiZ\nmSEoKAhubm7Yv38/nJ2d1YI1AKxYsQKxsbHYu3cv9PT08N1332HevHmYOXMm7t69Kx5Hbu3fvx/2\n9vb4/PPPIQgCPv/8c+zduxefffYZAMDQ0BC7d+/GkydP0L17dzRs2BDPnj3D77//Dj8/P5ibm2PX\nrl0YO3Ys9u/fDyDjb4zqZyqZGK6pyPvmm29w5swZrFmzBg8ePEBsbCwSExPF+X379gUAyOVyWFtb\nIzQ0FKdOnYKXlxdMTEwAAIMGDcLKlSuRmpoKAGjcuHGO+8upLCQ4OBhOTk6oUaMGAMDZ2Rnm5ua4\nfv06AMDe3h4yWcZL6uzZs+jWrRuMjIwAZPSuA8CXX36JsLAweHt7AwCUSiWSkpLyf3KIiPLpXWUh\n7/Pq1SvcvHkTPXv2BABUrVoVAQEBasucOXMGsbGxGDJkiDhNR0cHDx8+BAA0bdoUpqamAIB69erh\n9evX79xu//79sW3bNri5ucHPzw+TJ0/O1q5Tp07hq6++gr6+PgBg4MCBGDt2bL6OEcj4AHLp0iWs\nW7cODx48wJ07d9CwYUNxfp8+fQAAlpaWcHFxwblz5/D48WN4eHiI59bLywuzZ88W69kdHR3z3R4q\nHhiuqcibOHEi0tPT0bFjR7Rs2RKPHj2CIAji/Mw9L4IgQCaTqc0HMkJsWlqa+FgVuvMi6zZV01Tb\nzbxNVchWefbsGZRKJZRKJYYPH45+/foBAFJTU/H69es8t4WISJtU73E6OjritPv37+Ojjz4SHyuV\nSjg7O4udCwDw6NEjVK5cGUePHhU7H1TbUb1/57TdLl26YOHChQgODkZiYiKaNGmSrV1KpTLbY4VC\nke/j/OWXX3Dt2jV4e3ujWbNmSEtLy/PfH9U8TX8rqGTiaCFU5J0+fRpjx46Fh4cHdHR0cPXqVaSn\np4vzd+/eDQC4ceMGIiMj0bBhQ7i4uGDXrl1iD/fGjRvRpEkTGBgY5LsdTk5OOHPmDKKiogAA586d\nw6NHj9R6MVScnZ2xb98+pKamQqlUwsfHB/v374eLiwt27NiB+Ph4AMCvv/6qsfeFiKgoMzU1Rf36\n9bFnzx4AGaG5b9++iIuLE5dRvWfeu3cPAHDy5El07doVKSkp+dqusbExunbtim+//VbsMc7K1dUV\nW7duhUKhgFKpxObNm9G8efN8H+fp06cxePBgdO/eHRUrVsTZs2c1/v35999/cfbsWTg7O8PFxQUH\nDhwQRx/ZuXMnzMzMYGVlle92UPHCnmsqMhITE7MNx7d161Z89dVXGDt2LMqXLw9jY2M0adJE/FoR\nAKKiotC9e3fo6Ohg4cKFMDMzQ48ePfDo0SP07NkTSqUSVlZWmD9/foHaV7t2bcyYMQPjxo1Deno6\njIyMsHLlSpQtWzbbsn369EFMTAy8vLwgCAKaNm2KgQMHQldXF0+ePEGvXr2go6ODqlWrwtfXt0Dt\nIiLKj6w110DGN4Vubm65Wn/BggX48ccfsXHjRujo6GD27NmwsLAQ59epUwczZ87ExIkTxV7dFStW\nvLfn9l3b9fLyEq/D0WT06NGYO3cuunfvjrS0NNjZ2eGHH37I1fG0bt1a7fHChQsxduxYzJs3D7/9\n9hv09PTg4OCg9vcnJSUFnp6eUCgU+P7771GrVi3UqlULQ4YMweDBg6FUKmFubo5Vq1ZlO9dUcukI\nmr6/ICIiIipCBEHAmjVrEBMTgx9//FHbzSHKEXuuiYiIqMhr3bo1zM3NsWLFCm03heid2HNNRERE\nRCQRFgAREREREUmE4ZqIiIiISCLFpuY6JCRE200gIiqQ0nTzCL5nE1Fxl9/37GITroHS9YcJyPjj\nxGMu+XjMBZOWrkRKajqSU9P++z/j5+TUdKSkpiNF9bNCfRn1dTIvn/lxGpQSXJUi09PF970/ev+C\nJQyf1yUfj7l0KK3HnF/FKlwTUfGjVApIVbwNvSmp6Yh+lgL9u08zAmzK2zCbnJqGFEW6WkhOSU1H\ncsrbgJwiLpvxc1q6NNdky/R0YGggg5GBHkyMZKhQ1giGBnowMtCDkaHsv58z5hvq66k9NjKQwdAw\nY7r4ONN8A309hIZelqSdRERUtDFcE5VygiAgLV2ZEVhTsgbctz24b3t7MwfcnHt8VQE4VZGew56f\n5qmdOjrICLYGMhjq66FSeX21EKsKwmohWAy/GdMNM4XhrNNkerwEhYiICo7hmqgYSFcKaoE2a5jN\nGnhTUjX0/uYUhBXpUEpR+wBAX6YrhtpyZQxQucJ/YdhAvUf39ctnsKpRTezpNTSQwchQPSQb/Rei\nDf/rOTaQ6UJHR0eSdhIRERUWhmsiCQiCoLGcIXuofRuGVcvEPHqBI9cvaKgDfru8Ik0pSTt1dXVg\nLIZZGczKGmYPtJn+Vwu/WZYx1NADrKebu/CbUb9XV5JjImldvXoV8+fPx8aNG9WmHz9+HMuXL4dM\nJoO3tzd69eqlpRYSERVtDNdUaijSlNl6d9UCrSJLD3BK9gvkUhXqvcWpmdYt2O2YEsWfMgfYCuWM\n/qvxVQ/AYvmD4dvyh+z1vtnn68tY+kA5W7NmDf7++28YGxurTVcoFPj555+xY8cOGBsbo2/fvmjV\nqhUqVaqkpZYSERVdDNdUZKQrBaQolHj5Jvm95Q8pWS6QE2uFcwjKKanpSC+E0gdTE31UNDPK1tOb\n9YK2t/XAsmy9v3duhaOJoz0MDfRgINODbi57f4mkVrNmTSxduhSTJ09Wm37v3j3UrFkT5cuXB5Ax\nCsjFixfRsWNHbTSTiKhI01q43rVrF3bv3g0ASElJQXh4OM6cOYNy5cppq0n0HoIgIDVNmalHN3OI\n/S8Ap2Qf0UEt9GarD9ZU+vBvgdqpq6uT6SI2GcqVMdRY8pDTxW+aSiTE0gd9PehJfOHbsxgZypsa\nSrpNovxo3749oqOjs02Pj49H2bJlxcdlypRBfHz8h2waEdEH8+RF4vsXegethWsvLy94eXkBAH78\n8Ud4e3szWEtANeqD+ugO2UdwSMkyJvB7L4BTZEyTqPNXrSfXrKyRGGaTk+JhaWH+jhEfNNUHq/8s\n0+OFb0RSMjU1RUJCgvg4ISFBLWznpDTeSIbHXDrwmEumxJR0HLv6BiF3E+DTr3q+t6P1spCwsDDc\nvXsXM2bM0HZTPgilUlC7mUXWEJv553sRbxAeG64egBWZxvzNMuKDtGP+6oq9tWWMZTAvb5StnOF9\nY/6qLa+vPuZvTqUPpXGgeqKiztraGpGRkXj16hVMTExw6dIlDBs27L3rlbbXcml8/+Ixlw4l/ZjT\nlQKOno/EhoP/IC5RgZpV3t958C5aD9erVq3C2LFjtd0MkSAIUKQps/XoJmkMw9lLG1QjRiSlpKnV\nBqt6hXMe8zcnbzRO1dWBWi9uuTIGOY74oKn8IXNtsJGhekA25Ji/RATA398fiYmJ6N27N6ZOnYph\nw4ZBEAR4e3vD0tJS280jIiqw2w9fYuWua7gT9QrGhjIM69oAnV1q4eqV0HxvU6vh+s2bN4iIiICT\nk1Oulld9JZGuFKBIE5CalhGEU9MzP/7v53Tl25/fOS1jG+K0dKGAoz68JdPTgb5MBwZ6OjCQ6cC0\nrC70ZXowkOlCXzVPpvpfF/oyHejrZZ6mA32Zbsb/eurTZLrIRelD+n//shAApALK1IwxKgpWWSS9\n0vDVU1Y8Zioqqlevjm3btgEAunTpIk5v1aoVWrVqpa1mERFJ6k1CKjYc+AdHzkdCEAC3RtUxtEs9\nVCxv/P6V30Or4frixYtwdnbO9fK/7H6ClNR0pKVLM+bv29sd66O8cZYeXcPs5QxZyyEyl0gYa7jd\ncUFHfSjpX8NowmMuHUrrMRMRkXYplQKOnI/EhgNvS0BGedrBtrZ0Q4tqNVxHRESgevXcF4xXKm+k\nueb3HSM+ZB36LPM0lj4QERERlQ7qJSB6+KxLfXRx/VjyPKjVcD18+PA8Lb/sG34lSURERES59yYh\nFRsPhuNw8AMIAtCiUTV81qW+JCUgmmj9gkYiIiIiIqkplQKOXojEn/szSkBqWJbFaC9pS0A0Ybgm\nIiIiohIlawnIsK710dlF+hIQTRiuiYiIiKhEKMxRQHKL4ZqIiIiIijVtlYBownBNRERERMVW1hKQ\noZ3ro2uLD1MCognDNREREREVOx96FJDcYrgmIiIiomIjowTk4X8lIKlaLQHRhOGaiIiIiIqFu1Gv\nsGLXVdx+WDRKQDRhuCYiIiKiIi0uMRUbD4TjkKoExL4aPuuq/RIQTRiuiYiIiKhIUpWAbDjwD94k\npKKGpSlGednBrraFtpuWI4ZrIiIiIipy7ka9wspd13Dr4UsYGWSUgHRx/Rj6sqJTAqIJwzURERER\nFRnFqQREE4ZrIiIiItK64lgCognDNRERERFpVeYSkKI6CkhuMVwTERERkVbEJWbcCObQuYwSEFf7\nahhWjEpANGG4JiIiIqIPSqkUEHAx40YwbxJSUb2yKUZ52qGhvHiVgGjCcE1EREREH8zd6FdYuTPz\nKCD10MXVusiPApJbDNdEREREVOg0lYB81qU+KpkV3xIQTbQarletWoXjx49DoVCgb9++6Nmzpzab\nQ0REREQSK8klIJpoLVyfP38eoaGh+Ouvv5CUlIS1a9dqqylEREREVAhKegmIJloL16dPn4ZcLsfY\nsWMRHx+PyZMna6spRERERCSh+P9KQA6eyygBcWn4EYZ1bVDiSkA00Vq4fvnyJf7991+sXLkS0dHR\nGD16NA4dOgQdHZ0c1wkJCfmALSwaeMylA4+ZiIhKAqVSwLGLD7G+lJSAaKK1cG1mZoaPP/4YBgYG\n+Pjjj2FoaIgXL16gYsWKOa7j6Oj4AVuofSEhITzmUoDHXDrwwwQRlXR3o/+7EUxk6SkB0URr4drR\n0REbNmzA0KFDERsbi6SkJJiZmWmrOURERESUD/GJqdh06CYOno2AspSVgGiitXDt7u6OixcvokeP\nHhAEAdOnT4eenp62mkNEREREeaBUCjh+KaME5HV86SwB0USrQ/HxIkYiIiKi4ude9CusyFQCMqRT\nPXRtUfpKQDThTWSIiAhKpRI+Pj64desWDAwMMGvWLFhZWYnz//77b6xbtw66urrw9vZGv379tNha\nItKW+Ew3gmEJiGYM10REhICAAKSmpsLPzw9XrlyBr68vVqxYIc6fN28e9u3bBxMTE3Tq1AmdOnVC\n+fLltdhiIvqQso4CUs3CFKO8bGEvr6ztphU5DNdERISQkBC4uroCAOzt7XH9+nW1+TY2NoiLi4NM\nJoMgCO8cNpWISpZ/X6Tir2VBLAHJJYZrIiJCfHw8TE1Nxcd6enpIS0uDTJbxZ6JOnTrw9vaGsbEx\n2rZti3Llyr13m6Vx+EEec+lQWo45KVWJ41df49LdBAgCUL+mMdo5lEd5kze4djVU280rshiuiYgI\npqamSEhIEB8rlUoxWN+8eRMnTpzAsWPHYGJigm+++QYHDx5Ex44d37nN0jiWOY+55CsNxyyOAnIo\nYxSQiuVkmNC3SakqASnIByiGayIigoODAwIDA+Hh4YErV65ALpeL88qWLQsjIyMYGhpCT08P5ubm\nePPmjRZbS0SF5d5/N4K5GfkShgZ6GNypHmqYvi5VwbqgGK6JiAht27bFmTNn0KdPHwiCgDlz5sDf\n3x+JiYno3bs3evfujX79+kFfXx81a9aEp6entptMRBKKT1Jg88FwHPjvRjDN7TJGAbGoYFxqymCk\nwnBNRETQ1dXFzJkz1aZZW1uLP/ft2xd9+/b90M0iokKWUQIShT/3/4NX8SmoZmGKkZ62aGTDnur8\nYrgmIiIiKoXux7zGyl3XEP7gBQwN9DDI4xN0d6vNUUAKiOGaiIiIqBSJT0zFpkM3cVBVAtLwIwzr\nklECQgXHcE1ERERUCqhKQNbvv4HX8aksASkkDNdEREREJVzWEpDBneqhG28EUygYromIiIhKqHeN\nAkKFg+GaiIiIqITJXgJSBiM97VgC8gEwXBMRERGVIBH/vsaKnVlHAbGGvkxP200rFRiuiYiIiEqA\n+CQFNh8Kx4EzGSUgzrZVMbxbA1SuYKLtppUqDNdERERExZhSKSAwJArr96luBFMGn3vawYElIFrB\ncE1ERERUTGm+EQxLQLRJq+Ha09MTpqamAIDq1avj559/1mZziIiIiIqFrCUgn9pVxbCuLAEpCrQW\nrlNSUiAIAjZu3KitJhAREREVK4KQUQKyzp8lIEWV1sL1zZs3kZSUhM8++wxpaWmYOHEi7O3ttdUc\nIiIioiKNo4AUD1oL10ZGRhg2bBh69uyJBw8eYMSIETh06BBkspybFBIS8gFbWDTwmEsHHjMREeUk\nPkmBLYdvYv/p+ywBKQa0Fq5r1aoFKysr6OjooFatWjAzM8PTp09RtWrVHNdxdHT8gC3UvpCQEB5z\nKcBjLh34YYKI8iprCchHlTJuBONQlyUgRZnWwvWOHTtw+/Zt+Pj44MmTJ4iPj4eFhYW2mkNERERU\nZET8mzEKyD8RL2Cgr4eBHT+BZ0uWgBQHWgvXPXr0wLRp09C3b1/o6Ohgzpw57ywJISIiIirpspaA\nONtWxfCuDVDZnCUgxYXW0qyBgQEWLFigrd0TERERFRliCci+f/AqjiUgxRm7iomIiIi0iCUgJQvD\nNREREZEWJCQpsJklICWOZOE6NjYWlStXxqVLl3Dr1i14enrCxIRPDiIiIqLMMkpAorFu3w2WgJRA\nkoTrGTNmQFdXF/3798ekSZPQvHlzBAcHY+nSpVJsnoiIiKhEYAlIySdJuA4LC8POnTuxbNky9OjR\nA1988QW8vb2l2DQRERFRsZeQpMCWIzex73QElEqBJSAlmCThOj09HUqlEseOHcOPP/6IpKQkJCUl\nSbFpIiIiomIrawlI1UplMNLTFo51LbXdNCokkoTr7t27w8XFBQ4ODmjYsCE6duyIPn36SLFpIiIi\nomIpawnIgA514eVemyUgJZwk4Xro0KEYNGgQ9PQyniybN2+Gubm5FJsmIiIiKlYS/rsRzL4zLAEp\njXSl2EhMTAyGDx+Odu3aITY2FhMmTEB0dLQUmyYiIiIqFlQ3ghk19xj+DroPS3MTzBjuhG+HNGWw\nLkUkCdfTp0/HsGHDYGJiAgsLC3Tu3BlTpkyRYtNERERERd6DR28w7bczWLjlMhKT0zCgY10s+9od\njT9hbXVpI0m4fvnyJVxcXAAAOjo66NWrF+Lj46XYNBEREVGRlZCkwJq9Yfhy4QncuP8czrZVsWJy\nK/RuYwMDfdZWl0aS1FwbGRnh8ePH0NHRAQBcunQJBgYGUmyaiIg+AKVSCR8fH9y6dQsGBgaYNWsW\nrKysxPnXrl2Dr68vBEGAhYUFfvnlFxgaGmqxxUTaJQgCTlyOxjr/G3gZl4KqFcvgc09b9lSTNOF6\n6tSpGDlyJB4+fIhu3brh9evXWLx4sRSbJiKiDyAgIACpqanw8/PDlStX4OvrixUrVgDICBE//PAD\nlixZAisrK2zfvh0xMTH4+OOPtdxqIu148OgNVu66hhv3n4ujgHi2rM2eagIgUbi2s7PDjh078ODB\nA6Snp+Pjjz9mzzURUTESEhICV1dXAIC9vT2uX78uzouIiICZmRnWr1+PO3fuwM3NjcGaSqWEJAUO\nhbzCha0noFQKcGpQBcO72cKSFytSJpKE62nTpmmc/vPPP0uxeSIiKmTx8fEwNTUVH+vp6SEtLQ0y\nmQwvX75EaGgopk+fjpo1a2LUqFFo0KABnJ2d37nNkJCQwm52kcNjLpkEQcC1B4k4Gvoa8clKVDDV\ng0djM9T5SIboiHBER2i7hYWvNPyepSJJuG7atKn4c1paGo4dO8ZeDSKiYsTU1BQJCQniY6VSCZks\n40+EmZkZrKysYG1tDQBwdXXF9evX3xuuHR0dC6/BRVBISAiPuQR6WwLyEgYyXbjblsO4/i1KVQlI\nafg9Z1WQDxOShGtPT0+1xz169EDfvn2l2DQREX0ADg4OCAwMhIeHB65cuQK5XC7Oq1GjBhISEhAZ\nGQkrKytcunQJPXr00GJriQpfQpICW47cxL7TEWolINER4aUqWFPeSRKus7p37x5iY2MLY9NERFQI\n2rZtizNnzqBPnz4QBAFz5syBv78/EhMT0bt3b8yePRuTJk2CIAho1KgRWrZsqe0mExUKQRBw8nI0\n1uYwCkhpKAGhgpEkXNetWxc6OjoQBAEAYG5ujokTJ+Zq3efPn8PLywtr164Vv3IkIqIPS1dXFzNn\nzlSblvk92dnZGTt27PjQzSL6oCIfvcEK1SggMl2OAkL5Ikm4vnnzZr7WUygUmD59OoyMjKRoBhER\nEVGeJSYrsOXwLfifvg+lUkCz+lUwvFsDVKlYRttNo2KoQOF62bJl75w/bty4d86fO3cu+vTpg9Wr\nVxekGURERER5JggCTobGYO3f13kjGJJModRc58auXbtgbm4OV1fXXIfr0jgMDI+5dOAxExF9WJGP\n3mDl7mu4fi+jBKR/h7rwYgkISaBA4TqnnmlBEBAdHf3OdXfu3AkdHR2cO3cO4eHhmDJlClasWAEL\nC4sc1ymNw8DwmEs+HnPpwA8TREUDS0CosEnSc71p0yYsXLgQSUlJ4rTq1avj6NGjOa6zefNm8eeB\nAwfCx8fnncGaiIiIKL+yloBUqWiCz7vbokm9KtpuGpUwkoTrtWvXYu/evVi8eDG++uorXLhwAWfO\nnJFi00REREQFEvk440YwqhKQfu3rwtudJSBUOCQJ1xUrVkSNGjVgY2OD27dvw8vLC5s2bcr1+hs3\nbpSiGURERESixGQF/jpyC38HsQSEPhxJwrWxsTGCg4NhY2ODgIAA2Nra4s2bN1JsmoiIiChPVCUg\n6/yv48UbloDQh6UrxUa+//57BAYGwtXVFa9evULHjh0xYMAAKTZNRERElGuRj9/g2xVnsGBzCOIT\nFejfoS6Wf9OKwZo+mAL1XAcGBsLNzQ1yuRzTpk0DACxdulSShhERERHlFktAqKgoULhet24dfHx8\n0LVrV/To0QNWVlZStYuIiIjovQRBwKnQGKzNVAIyorstmrKnmrSkQOF6w4YNePToEf7++2+MHj0a\nFSpUgLe3Nzp27AhjY2Op2khERESUTeTjN1i1Kwxh955ljALSzgZererAkKOAkBYV+ILGqlWrYuTI\nkRg5ciTCwsKwd+9erF69Gk2aNMFPP/0kRRuJiIiIRFlLQJrUs8Tn3W1ZAkJFgqS3P69Tpw4aNmyI\nf//9F5cvX5Zy00RERFTKZS0BsTQ3weeeLAGhoqXA4To9PR1BQUHw9/fHhQsX0LJlS4wYMQKNGjWS\nopFd5zoAACAASURBVH1ERERELAGhYqNA4Xr69Ok4evQo6tSpAy8vL8yePRtGRkZStY2IiIhKucRk\nBbYevY2/T91DulJA03pVMKI7RwGhoqtA4bpixYrYtm0batSoIVV7iIiIiCAIAoKuxOCPv2/gxZtk\nloBQsVGgcP3ll19K1Q4iIiIiABklIKt3h+Ha3WfQZwkIFTOSXtBIRERElF+qUUD8g+4jnaOAUDHF\ncE1ERERapbEEpLstmtZnCQgVP5KE62XLlqk91tHRgZGREaytrdGyZUspdkFEREQlUNYSkD5tbdCj\nNUtAqPiSJFw/fPgQkZGR6NSpEwDgyJEjMDU1RUhICC5cuIDJkydLsRsiIiIqIbKOAtKkniVGdLNF\n1UosAaHiTZJwHRERgc2bN8PAwAAA0KdPHwwcOBB+fn7o2rUrwzUREREBYAkIlXyShOs3b94gLS1N\nDNcKhQKJiYkAMl5ERERERA8fv8GqTCUgfdvZwJujgFAJI0m47t+/P7y9vdGyZUsolUqcOnUKAwYM\nwPr16yGXy6XYBRERERVTickK+B29jb3/lYA0/iRjFBCWgFBJJEm4HjRoEJo1a4Zz585BT08PS5Ys\nQZ06dfDgwQP069dP4zrp6en4/vvvERERAR0dHfz4448M4kRERCWIIAg4feVf/OF/Hc9fJ6OyuQlG\nsgSESjhJwrUgCAgJCUFISAjS09OhVCphbW2N//3vfzmuExgYCADYunUrzp8/j0WLFmHFihVSNIeI\niIi0LOpJHFbuusZRQKjUkSRcz5s3D5GRkfD29oYgCNi1axeio6Px3Xff5bhOmzZtxGH6/v33X5Qr\nV06KphAREZEWJaWkYeuRWywBoVJLknB95swZ7NmzB7q6ugCAli1bokuXLu/fuUyGKVOm4OjRo1iy\nZMl7lw8JCSlwW4sbHnPpwGMmouJOVQLy+9/X8eINS0Co9JIkXKenp6uNFpKeng49vdx97TN37lx8\n/fXX6NWrF/bv3w8TE5Mcl3V0dJSiucVGSEgIj7kU4DGXDkX9w4RSqYSPjw9u3boFAwMDzJo1C1ZW\nVtmW++GHH1C+fHl8/fXXWmglFVUsASF6S5Jw3aVLFwwaNEi8icz+/fvFn3OyZ88ePHnyBCNHjoSx\nsTF0dHTEnm8iIvqwAgICkJqaCj8/P1y5cgW+vr7ZroPZunUrbt++jSZNmmiplVTUpCiUWOd/gyUg\nRJlIEq5HjRqFTz75BMHBwRAEAaNGjXrvbc/btWuHadOmoX///khLS8O3334LIyMjKZpDRER5FBIS\nAldXVwCAvb09rl+/rjb/8uXLuHr1Knr37o379+9ro4lUhAiCgNNX/8WKfU8Ql5SOyuYmGNGtAZrV\nrwIdHR1tN49IqyQJ1wDg5uYGNzc38bGPjw98fHxyXN7ExAS//vqrVLsnIqICiI+Ph6mpqfhYT08P\naWlpkMlkiI2NxfLly7Fs2TIcPHgw19ss6qUwhaE0HPPT1wocuPQKEU9SoKcLuDUoi/+zd9/hUdXp\n+/jvKZleUwmEQBISkA5BBAUEFRFWUBAXxAVd3ZVF14KVVUF2xXVVfq4sroJsUdGvEBEV9qNYEEFQ\niqEGpEMgvU3KzCSZdn5/zGTSK0lOMnO/risXaTPzHCDvufOe5zxn3EADQiqzcPBgltjldYpg+Heu\nKxiPua3aLVzXtWXLlibDNRERdR06nQ42m83/scfjgVzufYrYtm0bLBYLHnjgAeTn56OiogLx8fGY\nNWtWk/cZjH31gXzM5ZUubPzmFD7bmelvARnbT4KbJ14jdmmdKtD/nRsSrMfcVh0WrnnZcyKi7mPk\nyJHYsWMHpk2bhsOHD9e6qNeCBQuwYMECAMDmzZtx/vz5ZoM1BY6qFpB/b/FdCMasxgO+KSAHDx4U\nuzyiLqfDwjV7roiIuo/Jkydjz549mDt3LgRBwF//+lds3boVdrsdc+bMEbs8Esnl3DKs/fQojpwp\ngFwmxZzJSZh9QyJUig6LD0Td3hX9dMyfP7/BEC0IAiorK6/kromIqBNJpVL85S9/qfW5hISEet/H\nHevgUN0C4p0CkjwgEg/MHIKe4brmb0wU5K4oXD/88MPtVQcRERGJTBAE7DmahX99Xt0C8vvbh3AK\nCFErXFG4Hj16dHvVQURERCK6nFuGdz49hsNn8hEiZwsIUVvxJ4aIiCiIVbWAfL7rHFxutoAQXSmG\nayIioiBU1QLy78/TUOBrAfndbUMwZjBbQIiuBMM1ERFRkKnZAiKXSTHnpiTMvpEtIETtgT9FRERE\nQaJuC8jIAZFYePsQ9IxgCwhRe2G4JiIiCnB1W0AizGr8ni0gRB2C4ZqIiCiAsQWEqHPxJ4uIiCgA\nsQWESBwM10RERAFEEAT8eDQb//r8GFtAiETAcE1ERBQgMvLKsPbTYzh82tsC8uubknAnW0CIOhV/\n2oiIiLq5ikoXNn57Gp/tPMsWECKRMVwTERF1U4Ig4Mdj2fjX52koKC73tYAMxpjB0WwBIRKJaOHa\n6XTi2WefRWZmJhwOBxYtWoQbb7xRrHKIiIi6FbaAEHVNov0EbtmyBSaTCa+99hqKi4tx++23M1wT\nERE1o14LSP9IPDBzCHqxBYSoSxAtXN9yyy2YMmUKAO/LWjKZTKxSiIiIujz/FJAtbAEh6spEC9da\nrRYAYLVa8cgjj+Cxxx4TqxQiIqIuLTPfirWbj+IQW0CIujxRfyqzs7Px0EMPYd68eZg+fXqz35+a\nmtoJVXUtPObgwGMmooZUVLqQsv00Pv2eLSBE3YVo4bqgoAD33Xcfli1bhrFjx7boNsnJyR1cVdeS\nmprKYw4CPObgwF8mqDUEQcBPx7KxjlNAiLod0cL1mjVrUFpairfeegtvvfUWAGDdunVQqVRilURE\nRCS62i0gEtx5YyJ+fWMSVEq2gBB1B6L9pD7//PN4/vnnxXp4IiKiLqW6BeQcXG4PRiRFYOGsoWwB\nIepm+GswERGRiOq2gISb1PjdbYNx7RC2gBB1RwzXREREImELCFHg4U8vERFRJ6s7BWREUgQemDkE\nMZF6sUsjoivEcE1ERNRJGmoB+f1tgzGWLSBEAYPhmoiIqBNk5lvxzqfHcPBUHltAiAIYf6KJiIg6\nEKeAEAUXhmsiIqIOIAgC9qZ5W0DyLb4pIDMG49qhbAEhCmQM10REBI/Hg+XLl+PUqVNQKBRYsWIF\n+vTp4//6//73P7z33nuQyWRISkrC8uXLIZVKRay4a8vKt2LtZ8dw8CRbQIiCDX/KiYgI3377LRwO\nBzZu3IjDhw/jb3/7G95++20AQEVFBd544w1s3boVarUajz/+OHbs2IEbb7xR5Kq7ngqHCx9vP4PN\nO87C5fZgeFIEFnIKCFFQYbgmIiKkpqZi/PjxAIDhw4cjLS3N/zWFQoENGzZArVYDAFwuF5RKpSh1\ndlWCIOCXy+X455ffeVtAjCr87rYhbAEhCkIM10REBKvVCp2u+gQ7mUwGl8sFuVwOqVSK8PBwAMD6\n9etht9tx3XXXiVVql1PdAlIIuUyC2TckYs5NbAEhClb8ySciIuh0OthsNv/HHo8Hcrm81sevvfYa\nLly4gNWrV7doNzY1NbVDau0qHC4Pfjhehh9/KYPbA8T3UGLaKBPCDeU4nnZE7PI6TaD/OzeEx0xN\nYbgmIiKMHDkSO3bswLRp03D48GEkJSXV+vqyZcugUCjw1ltvtfhExuTk5I4oVXTeKSA5+NeXx5BX\n1QJy+xAoHVkYNWqU2OV1qtTU1ID9d24Mjzk4XMkvEwzXRESEyZMnY8+ePZg7dy4EQcBf//pXbN26\nFXa7HYMHD8amTZswatQo3HPPPQCABQsWYPLkySJX3fnqTgG5Y1I/zJ3cHyqlHKmp2WKXR0RdAMM1\nERFBKpXiL3/5S63PJSQk+N8/efJkZ5fUpXAKCBG1FMM1ERFRI/wtIJ9Xt4Dcf9tgXDe0J6eAEFGD\nGK6JiIgakFVgxTufHkOqrwVk9g2J+PVNSVBzCggRNYErBBERUQ0VDhc2bT+DT6paQBIj8MDMIegd\nxRYQImqe6OH6yJEjWLlyJdavXy92KUREFMQEQcC+4zlY91mNKSC8EAwRtZKo4XrdunXYsmWL/6pf\nREREYmALCBG1F1FXjdjYWKxevRpPP/20mGUQEVGQqnC4sOm7M/jkO7aAEFH7EDVcT5kyBRkZGWKW\nQEREQahuC0iYUYXfcQoIEbWDbvV6VzBeepPHHBx4zESdJ7vAhnc+O4aff8mFTOq9EMycyf3ZAkJE\n7aJbrSTBeOlNHnPg4zEHB/4yIb66LSDDEsOxcOZQtoAQUbvqVuGaiIiotRpqAbl/xmCMG8YWECJq\nf6KH65iYGKSkpIhdBhERBaCsAivWfZbGFhAi6jRcXYiIKODUbQEZ2i8cf5jFFhAi6ngM10REFDDY\nAkJEYmO4JiKigMApIETUFXDFISKibq3S6cam7WfwyY4zcLrYAkJE4mK4JiKibmv/8Ry889kx5BbZ\nEWrwXgiGLSBEJCaGayIi6nbqtoDMnNgPcycnQaMKEbs0IgpyDNdERNRtVDrd+OS7M9j0XXULyMKZ\nQxDbwyB2aUREABiuiYiom6jbAnL/jEEYP7wXW0CIqEthuCYioi6tbgvIrIn9MIctIETURTFcExFR\nl8QWECLqjhiuiYioy6k3BWTGYIwbzikgRNT1MVwTEVGXkVPobQE5cIJTQIioe2K4JiIi0bEFhIgC\nBcM1ERGJilNAiCiQMFwTEZEo2AJCRIGI4ZqIiDpV3RaQIQnhWDhrCPqwBYSIAgDDNRERdZr9J3Lw\nzqfVLSD3TR+ECSPYAkJEgYPhmoiIOlxOoQ3rPkvD/hM5bAEhooAmWrj2eDxYvnw5Tp06BYVCgRUr\nVqBPnz5ilUNEFNSaW5O/++47/POf/4RcLscdd9yBX//61y2630qnG5u/O4OPa0wBeWAmW0CIKHCJ\nFq6//fZbOBwObNy4EYcPH8bf/vY3vP3222KVQ0QU1Jpak51OJ15++WVs2rQJarUad911F2644QaE\nh4c3eZ/7T+Rg3WfHkFNoR6hBiftnDOYUECIKeKKF69TUVIwfPx4AMHz4cKSlpYlVChFR0GtqTT53\n7hxiY2NhNBoBAMnJyThw4ACmTp3a5H2++O99kEoluP36BNx1c3+2gBBRUBAtXFutVuh0Ov/HMpkM\nLpcLcnnjJaWmpnZGaV0Kjzk48JhJbE2tyVarFXq93v81rVYLq9Xa7H0unxfje68Svxw/2t4ld0nB\n+P+axxwcgvGY20q0cK3T6WCz2fwfezyeJoN1cnJyZ5RFRBSUmlqT637NZrPVCtsN4ZpNRMFKKtYD\njxw5Ert27QIAHD58GElJSWKVQkQU9JpakxMSEpCeno7i4mI4HA78/PPPGDFihFilEhF1aRJBEAQx\nHrjqzPTTp09DEAT89a9/RUJCghilEBEFvYbW5BMnTsBut2POnDn+aSGCIOCOO+7A3XffLXbJRERd\nkmjhmoiIiIgo0IjWFkJEREREFGgYromIiIiI2kmXv/x5sFzJ0el04tlnn0VmZiYcDgcWLVqEfv36\nYcmSJZBIJEhMTMQLL7wAqTSwfh8qLCzErFmz8J///AdyuTzgjxcA1q5di++++w5OpxN33XUXRo8e\nHbDH7XQ6sWTJEmRmZkIqleLFF18M6H/nI0eOYOXKlVi/fj3S09MbPM6UlBRs2LABcrkcixYtwqRJ\nk8Quu11xzQ7M/9s1Bdu6HUxrNsB1u13WbaGL++qrr4RnnnlGEARBOHTokPCHP/xB5Io6xqZNm4QV\nK1YIgiAIFotFuP7664WFCxcKe/fuFQRBEJYuXSp8/fXXYpbY7hwOh/Dggw8KN998s3D27NmAP15B\nEIS9e/cKCxcuFNxut2C1WoV//OMfAX3c33zzjfDII48IgiAIu3fvFv74xz8G7PG+8847wq233irc\neeedgiAIDR5nXl6ecOuttwqVlZVCaWmp//1AwjU78P5v1xRs63awrdmCwHW7PdbtLv9rR7BcyfGW\nW27Bo48+CgAQBAEymQzHjx/H6NGjAQATJkzAjz/+KGaJ7e6VV17B3LlzERkZCQABf7wAsHv3biQl\nJeGhhx7CH/7wB0ycODGgjzsuLg5utxsejwdWqxVyuTxgjzc2NharV6/2f9zQcR49ehQjRoyAQqGA\nXq9HbGwsTp48KVbJHYJrduD9364p2NbtYFuzAa7b7bFud/lw3dhVwwKNVquFTqeD1WrFI488gsce\newyCIEAikfi/XlZWJnKV7Wfz5s0IDQ31PwkDCOjjrWKxWJCWloZVq1bhz3/+M5588smAPm6NRoPM\nzExMnToVS5cuxfz58wP2eKdMmVLrQlgNHWdbr3TYnXDNDrz/21WCcd0OtjUb4LrdHut2l++5bu2V\nHLuz7OxsPPTQQ5g3bx6mT5+O1157zf81m80Gg8EgYnXt65NPPoFEIsFPP/2EX375Bc888wyKior8\nXw+0461iMpkQHx8PhUKB+Ph4KJVK5OTk+L8eaMf97rvvYty4cXjiiSeQnZ2Ne+65B06n0//1QDve\nmmr2I1YdZ1uudNjdcM32CsT/28G4bgfbmg1w3a5yJet2l9+5DpYrORYUFOC+++7DU089hdmzZwMA\nBg4ciH379gEAdu3ahVGjRolZYrv68MMP8cEHH2D9+vW46qqr8Morr2DChAkBe7xVkpOT8cMPP0AQ\nBOTm5qK8vBxjx44N2OM2GAz+RchoNMLlcgX0/+uaGjrOoUOHIjU1FZWVlSgrK8O5c+cCbk3jmh24\n/7eDcd0OtjUb4LrdHut2l7+ITLBcyXHFihX48ssvER8f7//cc889hxUrVsDpdCI+Ph4rVqyATCYT\nscqOMX/+fCxfvhxSqRRLly4N+ON99dVXsW/fPgiCgMWLFyMmJiZgj9tms+HZZ59Ffn4+nE4nFixY\ngMGDBwfs8WZkZODxxx9HSkoKLly40OBxpqSkYOPGjRAEAQsXLsSUKVPELrtdcc0O/DUbCK51O5jW\nbIDrdnus210+XBMRERERdRddvi2EiIiIiKi7YLgmIiIiImonDNdERERERO2E4ZqIiIiIqJ0wXBMR\nERERtROGayIiIiKidsJwTURERETUThiuiYiIiIjaCcM1EREREVE7YbgmIiIiImonDNckKrfbjf/+\n97+YNWsWbrvtNkybNg2vvfYaHA5Hm+9z+/btWLFiBQDg+++/x6pVq5q9zfz587Ft27Z6n3c6nXj1\n1Vcxffp0zJgxA9OnT8eaNWsgCEKr7r+1j0tEFOg++ugjzJgxA9OmTcOvfvUrPPXUU8jKymr2ds8/\n/zzS0tLa/LhlZWVYsGBBm29P1By52AVQcFu+fDlKSkrw3nvvQa/Xw26348knn8Rzzz2H1157rU33\neeONN+LGG28EABw7dgwlJSVtru+9995DRkYGPv30U8jlcpSVleGee+6B2WzGnDlzrvj+iYiC0Suv\nvIKTJ09i7dq1iI6OhsfjwZYtWzBnzhx8/PHH6NGjR6O3/fHHHzFnzpw2P3ZJSQmOHTvW5tsTNYfh\nmkRz+fJlbN26Fbt374ZOpwMAaDQa/PnPf8ahQ4cAABcuXMBf/vIX2O125OXlYcCAAXjjjTegVCox\ncOBA3HPPPdi3bx/sdjsef/xx3Hzzzdi8eTO++uorPPjgg9iwYQPcbjf0ej0WLlyI5cuX4+LFiygp\nKYFWq8XKlSsRHx/faI35+flwOp1wOByQy+XQ6/V49dVX4fF4cOTIkVr3v3jxYvzzn//E//3f/0Em\nkyEuLg5Lly5FREQE8vPz8cILL+D8+fOQSqWYO3durZ0Tl8uFJ554AnK5HK+88grkcv5oElFgysnJ\nwYYNG/D999/DaDQCAKRSKW6//XakpaVh7dq12LlzJ1atWoUhQ4YAAG644QasWrUK3377LfLy8vDk\nk0/i1VdfxcqVK5GQkIC0tDRYLBbcdttteOSRR5CRkYHp06f7n0tqfvynP/0JFRUVuO2227B582bI\nZDLR/i4oMLEthERz4sQJ9OvXzx+sq0RERODmm28GAKSkpOD222/Hxo0b8fXXXyMjIwPff/89AG9L\nidFoxObNm/HGG2/g2WefRVFRkf9+hg0bhrlz52LatGlYvHgxdu3aBYPBgJSUFHz11VcYPHgwPvzw\nwyZr/O1vf4vc3FyMGTMG8+fPx9///nc4HA4kJSXVu/9PPvkEP/zwAzZt2oStW7ciMTERS5YsAQD8\n+c9/Rt++fbFt2zZs3LgRKSkpSE9PB+BtPXn00UcRFhaGlStXMlgTUUA7cuQI4uPj/cG6pmuvvRap\nqamN3nbx4sWIjIzEypUrMWzYMABAVlYWPvroI3z66af44osvsGPHjiYf/+WXX4ZKpcLnn3/OYE0d\ngs/iJBqpVAqPx9Pk9zz11FPYs2cP1q1bh4sXLyIvLw92u93/9d/85jcAgAEDBiApKQkHDhxo9L5u\nueUW9O7dG+vXr0d6ejr279+PESNGNPn4PXr0wObNm3H27Fns27cP+/btw5w5c7BkyRLcfffdtb53\n165dmDVrFjQaDQBgwYIFWLNmDRwOB3788Uc89dRTAAC9Xo///e9//tu98sorsNls+OabbyCRSJqs\nh4goELhcrgY/73A4Wr0OzpkzByEhIQgJCcEtt9yC3bt3IzExsT3KJGoT7lyTaIYOHYrz58/DarXW\n+nxubi4eeOABVFRU4PHHH0dKSgp69eqFe++9F4MGDfKfTAig1q6Dx+Npchfi//2//4fnnnsOKpUK\n06dPx6233lrrvhry6quv4sKFC+jXrx/uvvtu/OMf/8CKFSvw0Ucf1fveuvfl8Xj8TyByubzWE8bl\ny5f9xz1jxgzMnTsXzz//fJO1EBEFguHDhyM9PR35+fn1vrZv3z7/pkfNNbWpk9xrvtonCAKkUikk\nEkmt2zudzvYonahFGK5JNFFRUZg+fTqeffZZf9C0Wq1Yvnw5TCYTVCoVdu/ejYceegjTpk2DRCLB\nkSNH4Ha7/ffx2WefAQCOHz+OCxcu4Oqrr671GDKZzB9wd+/ejZkzZ+LOO+9EXFwcvvvuu1r31ZCi\noiKsWrUK5eXlALwL94ULFzBw4MB69z9u3Dhs3rzZv7O+fv16XH311VAoFBg7diw++eQTAPCfFHnx\n4kUA3l8yHnvsMVy6dAkpKSlt/vskIuoOoqKiMH/+fDz++OPIzc31f/6TTz7B119/jd///vcIDQ31\nTwQ5fPhwrSBec90FgC1btsDj8aCkpARffvklbrjhBhgMBjidTpw9exYA8M033/i/Xy6Xw+12N7u5\nQtRWbAshUb3wwgt46623MHfuXMhkMjgcDtx00014+OGHAXj76x566CEYjUao1WpcffXVuHTpkv/2\nBw8eREpKCjweD/7+97/X6+EbO3YsHn74YYSEhOC+++7DsmXL/CewDBo0CKdPn262vr///e+YMWMG\nFAoFXC4XxowZg2XLltW7/+eeew7Z2dm488474fF40KdPH6xcuRIAsGzZMixfvhzTp0+HIAhYuHAh\nBg8e7H8cpVKJv/3tb7jvvvswZswYxMbGtsvfLxFRV/TEE0/g448/xqJFi+BwOOBwODBkyBBs2LAB\nvXr1wpNPPonly5dj48aNGDRoEAYNGuS/7U033YTFixf7R65WVFRg9uzZsNlsmDdvHsaOHQvA21ZY\nFdRvueUW/+0jIiIwcOBATJ06FR999BHMZnPnHjwFPInAX92om+rfvz9++uknhIaGil0KERGJYP78\n+bj77rtrhWcisbEthIiIiIionXDnmoiIiIionXDnmoiIiIionXRauD5y5Ajmz58PAPjll18wb948\nzJ8/H/fffz8KCgo6qwwiIiIiog7TKeF63bp1eP7551FZWQkAeOmll7B06VKsX78ekydPxrp16zqj\nDCIiIiKiDtUpo/hiY2OxevVqPP300wCA119/HZGRkQC8l7BWKpXN3kdTl0MlIuoOkpOTxS6h03DN\nJqLurq1rdqeE6ylTpiAjI8P/cVWwPnjwID744AN8+OGHnVEGERF1omD6ZQLw/kLBYw58PObgcCUb\nBKJdROaLL77A22+/jXfeeafFc4qD8R+Wxxz4eMzBobvt5B45cgQrV67E+vXrkZ6ejiVLlkAikSAx\nMREvvPACpFKeD09EgcfpcqPU5rii+xAlXH/++efYuHEj1q9fD5PJJEYJRETUiHXr1mHLli1Qq9UA\ngJdffhmPPfYYrrnmGixbtgzbt2/H5MmTRa6SiKhlXG4PSqyVsJRWothaCUtphffPskoU+94sZRUo\nLquEtdwJAFg+L6bNj9fp4drtduOll15CdHS0/xLXV199NR555JHOLoWIqF1VOt0oszlQanOg1Fbp\n+9MBh9ONPgaxq2u5uufJHD9+HKNHjwYATJgwAXv27GG4JiJRud0elNgc1UG51BeQrTUDs/fPMnvz\nO9F6jQKhRhXiehlg0F/ZK3OdFq5jYmKQkpICANi/f39nPSwRUZtUvTRYanOgzO7wv+9/s3oDdM2v\nVTjcjd7fleyCdLa658kIggCJRAIA0Gq1KCsra9H9dLdWmPbAYw4OPOaO4fEIsFV6YKtww1rugbXC\nDWtF1cc13q/wwF7pafb+1AoptCopwiKV0Km97ytUDshUlZCEVMAjr4BTWo5KlMPqtsHqsiPdZYNT\ncGEyftfm4xCt55qIqLO43B6U2R3+XeWSqtDcwC5z1Vt5patF961UyGDQKtArUge9RgGjVgmDTuF9\nX6eAQauAWa9CheVixx5kB6rZX22z2WAwtGwbPhj76nnMgY/H3Dpuj4Aym8PfdlFvl9nXqlFcVolS\nWyU8zVw3XKsOgdmgQbxBCZNOCZNeCbNeBaMuBHKVAxJFBVxSOyoEG4orS1Bkt6CwvBhFdgsulhfD\nLXgAAYDD91aDUalHjDEaZs2VtSwzXBNRt+L2CLDW2UmuvbNcPyjbfD10zQmRS6HXKNAjTAODWWu/\nswAAIABJREFUtiogK2u8r/C/b/CFaGWIrNn7FQQBB7txuB44cCD27duHa665Brt27cKYMWPELomI\nROTxCCizO2r1Klvq9C5X9TSXWpsPzBqVHGa9Er0idTDplDDrvaG5KjjrdXJIQirhltlRUlmCQnsx\nCu1ZKCwvxiW7BYfsxbAUlUAQGn4gqUQKs9qI+NA+CFWbEKYxI0xtRqjG6PvTDLPKgBBZiP823XJa\nCBGRxyPAXuGsDsL2qnaLhkNyqc0Ba7kDjayftchlEhi0CoQbVUjoZYReq4BB4w3HBq0Ceq1vl9n3\nvkGrgEoh87c/tIQgCCirtKKovBiF9mIUlVe/WcqLUWQvRlFFCcqdFXgi/t62/0WJ7JlnnsHSpUvx\n+uuvIz4+HlOmTBG7JCJqZ4IgoMzuRHFZRY2gXInisgqcvViELQd/8u0yV6DY6oCnmcSsVsph0isR\nHaaF2b/LrIJZXx2evcE5BHaXFYV2CwrsFhSVe//MsFtwtMyCgjwLiitKGw3OMqkMYWoTBoQnwKw2\nIVxjRqjahFC1CeGaUIRqTDApDZ064YjhmojahSAIKK901QnDDQfkvMISOLdsQ6m9+QUaAKRSCQwa\nBUx6JWJ76KsDcp3dZKNOCb3GG5a1KnmrgnJdHo8HxZWlKLIXo7DcgkK7xRuc7cXelxh9b05347vi\narkKoWoT4s2xba5DLDXPk4mLi8MHH3wgckVE1FqCIMBW7qy3q1zr4xonALqbXI/tUClkMOmV6B9r\n9u4sN7DLXPW+SiGHIAgoqSxDod3iC8+ZyLdbcLLUgsIcCwrKLbCUl8AjNNw/XTM4e3ecQ/3hOVzj\n3XE2KHWQSrrWaFCGayKqRxAEVDrcLQrKNU/qc7mbD8oSCaBSSBFqUCE6XOsPyjXfarVjaBXQqkIg\nlbY9KNfl9rhhqSjxLfjFKCq3+F5mtKCw3IIiezEsFY0v+BJIYFTpEWvoCbPGhFC176VFtQmhGu+O\niVlthCZE7b9NMJ4ARUTtTxAE2CpcKG6kHcPia8koLvXuMLvcTZ/4pwiRwaxXol9vky8oq/y9zKEG\nJUw6FTLSz2D82GSolLVjY7mzwheai1Bgz0R6WREKcouqd6HtFjg9DZ+/IpVIEao2ITG0r7dNw/cW\nrgn1tW2YYFDpu1xwbgmGa6IgUOl0Nzjdol5Itjn9Idrhav5MbADQquQw6JRIMGv8O8l6f/uFsl5w\n1mkUOHzoYIedEOTxeFBcUYoCe5Fvx7nYv2tSaC9CQXkzLzFWLfhhcTV687yhuSpAm9RGyKXN91oT\nEbVE1St/decuN9THXFxWCWcz67NCLoVJr0RCL6N/J9mkV8Lsa80w6ZX+Vg21suFX+TweDywVJSiw\nFyEH6dh2vtgXoi0otBWhwF4Em7O80RqMKgNiTb28gVltRrg21N/rHK4JhUnVua0anYnhmqibqTki\nrsExcb4QXVrj85VNjIirSa2UQ69VoE+0ocG+ZGONfuWqHWa5rPMWR0EQYHeW+xf4Aps3QNf8s6jq\nbPAGyKQyhNZ5iTGsKkB3850SIupaqgJzVSBu6IIlNd9vbkNDLpPCbFCib7ShdguGzhuUqz426xsP\nzDVVuhwosBfitKUIBfZCFNiLkG+rWlsLUVheXPvVu9zqd1VyJSI0oUgMi6veadaYEaEN86+lNU8O\nDDYM10Qicrs9sJa7cSmntNHd5LaOiFP5RsTFROp8J/IpodeG1Jt+oa9xkl+IXNzdWLfHDUt5CfLt\nhSiwWbx/Vu04+xb9cldFg7eVSCQwq7xng1e9tBjuD81mhGvMDM5EdMUcLg9yCm2+q/013ZrR3MaG\nXCaBSec9l6TqZL/qXebq/mWzQdWq80gEQYDVYUO+rQj5turg7F1bi5BvL0JZpbXB20oggVltRL/Q\nvgjXhiJcEwp7QRlGDhiOCN/uszZEc0XntAQ6hmuidnJlI+Kym7zvELkUBq13RFxT4+Fq9im3ZERc\nZ3O4HCiwF+GCPQOWc+UosBf6dkq8C39R3Z2SGrQhakT6dkWqFvwwtdm/2JvVJrZqEFGbVDhctdou\n6rVj1PjYe7GorEbvSyaVwKhTIsY3Vq6pXWadOqRNIVUQBJQ5bMi3FSLfVog8mzc051WFZ1thoxsR\nIbIQhGvMiDP1RrjGjHBtGCI0oYjQhiJcG4bQBtbS1NRUJPca2uo6gxXDNVED6o2Ia/KEvtaNiJNJ\nJdD7RsTF9zTC7bChT0xUndYL3y6zryVD2coRcWJxuBzItxf5F/v8Gm959iKUVJRWf3ON5yaJRIJQ\nlbfPOUIT6g/PEVUhWmOudXIgEVFzHE53jYuWVDQanC1llc2+IiiVACa9Ej3DdZAIFejTK7LGLrPK\n18vsfdNrFFd8ArYgCLA57MizFSCvgfU0316ECldlg7dVy1WI0IYhXBvqC81hiNCGIkLj/ZxRqe8W\nzyfdGcM1BbzWjIjzX7WvpSPiJIBOo4BJr0BsDz30mvptFwatEnpNiP/kPk2dl/a8V74a1pF/Be3G\n5XGjwF6EPGvVgl9QK0gX1wzPNcgkUoRrQtE7sj/CtaFwlVRiaL/B3kVfE4pQjZm7zkTULKfLXd27\nbG14vFzVnGZ7RfOB2aBTIipUUzsoV72v87ZjmHRK6LUKyHyB2btmj7ziY6lwVSLfVohca0HtEG0t\nQJ69EOXOhnee1SEqRGnDEaELR6TGu9scqQ3zr6daBVs2xMZwTd1KR4+I06kVMGhD/CPimmq7MHTA\niDixCYKA0soy/2KfWyNE51kLUFBuaXDKhkwiRbg2DEOi+iNCG45IbRjCNaGI1IYjQhsKs8pY66zw\n1NRUJMcF1+WDiahhTpcHJdb6UzEampzR3NVWJRLAoFUg0qzxtmQYas5irj7hz6RXwqBV+gNzR/B4\nPCgst9QIzzXWVGsBSirLGrydUq5EZI3AHOlbUyN8n9MqNB1WM7UPhmsSVd0Rcccu2pFdfr7B8Fzm\n+7jFI+LUITBoFUgwaWCoc+Kedxe5eje5akRcRy60XYXL40aBrRA51gLkWvO9b75FP9dWgMoGXmqs\nOsGlf1i8d6HXVS/4kdpwhKpNATtSiYhaz+X2BuZ6EzKs9SdmlNmbDsyANzCHGVXoF2OESVc7JNfs\naTZqFZB14gSjCmeFf/3MseYjz7eO5lrzkW8vgttT/4RGmUSKCG0Y+phivGuornotjdSGQa/Ucee5\nm2O4pnbjdHlqnMDXwG5yi0fEFdX7jFopg0GrRJ9og3/X2FB1OWtd/VnKnT0irqtxuBzItXkX+5yy\nfORY83yLfx4K7JYGTxpUyZXooYtApDYMUboIRPlCdJQ2HOHaMCiCeKwSEXmnG5XYHLXCcdrJMhzO\nTPNPzqgK06U2R7P3p1OHwGxQIq6nscldZqNOKdp6LggCyiqt3rXU9/ZL7il8+u13yLXmN7r7bFDq\nEG/q7QvO4d411Reiw9RmbkYEOIZrapDb7UGpvXq3uD1HxCkVMug11SPi9NrqdgtLQQ6GDOxXZ5dZ\n/BFxXZHD7USuNR/ZZXnIseYh2xeic8ryUVhuafA2RpUBiWFxiNKFo4cuAlFa74IfpQuHgSe5EAUd\nt0dAqa2ROczWShSXVrVoVKDU1thJ2yX+93TqEJj03tFytSZk1NllNuqUCJF3jYApCAKKK0r962d1\nkM5DjjW/wd7nqla4vuYYRGkjEFm1pvrCtDpEJcKRUFfBcB0Eao6IK7M7UGJtOCDXHBvXXF9blRC5\nFHqNd0Rczb7kmuG4apay0XdSSFMj4lJTrUge1qu9Dr3b83g8yLMXIrssF9llecjy/ZlT5t2BFlD/\nmS5MY8agyCRE6yL9uyXR+khEacOh4oJPFPA8HgFldocvLNc52a/G5AxLWSVKrZVo7txtjUoOk06J\nmEh99VX+fJfFLsy9jFEjBvlDtKILjgAFqnegs/ybEb43X4BuqB0uRBaCHtpwREVGooc2HD30Eeih\ni0T+xRxMHD0BMp6ETY1guO5mOnJEnFwmgaHGiLiGrspX92p93WVEXFdnrbQhsywHWaW5yCqrfsu1\nFsDlqf+KgFltxMDIRPTQRSLat+D30EWghy4CCrlChCMgoo5UFZirdpMt1tqTMap3mStQbG1+2pFa\nKYNJr0J0mBYmvRKhhoZ2mb2fa3pDpABJseb2Ptw2K3dW+EJz1YZEnn9zwt7ApbqVMgWidBHooY/w\nb0hE673rqVltbPCiU6mZdgZrahLDtYiaGxF37qIFXx3bXz35wuZs1Yg4vdY7Iq53lM7fdlG3L7nm\n2Li6I+KofXkEDwpsRcgsy0FmaQ4yS3ORVZaD9KIM2M/Wf9lRE6JGX1MMovWRiNZHoac+Cj19iz53\noIm6P0EQYC131jvBz9LICYDuZtZ+lUIGk16J/rHmeif61W3NUCm679O/x+NBgb3IvyGRWZaLbN+G\nhKW8pN73y6VyROnCMTAyybeGRnrXVV0kzGojn/eo3XXfn64upjUj4rztF5UtHBFnqzEiTuEfEVc7\nIFfNUva1YATgiLjuxOVxI9eaj4zSbGSW5iCjJBsZpdnIKsuFw1273UYikcAo12NAZD/0NPTwBego\n9DREcdA/UTckCAJsFa7qHeU6V/mr3mX27jC73E1PP1KEyGDWK9Gvt8k/d9nsD87KWpMzVMrAekqv\ncFUiuyzPtxmR4w/T2WW5cNZ5RU8CCcI1ZgyNugo99VG+TYlI9NRHIVwTyhMIqVMF1k9iO3I43S1o\nu6j9eWdrRsRpFEiI0dQ7ca96TJwCly+ewdjRI4JmRFx34/aF6EslWcgozcblkmxklGQhy5pXb/xS\niCwEvfRR6GXogV6GaMT4gnS0PhJHDx9FcjJnPhN1VVWvMlrKavQrl9a/iEleYRnsKf9r9rlAIZfC\nZFAhoZfRv5Pc0CWyTTol1MrAf0XR6rD5NyIyS3P8GxP59vqTo5RyJXobe/o2IWpsSOgj2RJHXUZQ\nhGuny+3bMXa2aERcmc2BigZHxNWnVsph0CrQN9pQKxzrtSH1x8T5JmO0dKRQheUijDrllRw6tQNB\nEFBot+BSSSYulWThckkWLpVkIas0p97uiUquRJypN2KM3gAdY4hGjCEa4drQBnv3iEgcVYG5sUti\n132/ufn6cpkUGqUEfaMN/pDc0Bxmk04ZtC14VocNGSW+jYjSbGSUZiGjJAeWivqtHCaVAYMik9DL\nt45WvaIXpjYH5d8ddS/dLly73Z7GQ/IVjohTKWTQaxXoGaHzncTnDcl1L2ddc7eZI+ICS7mzApdL\nspBenIn0kgxcKvYG6ronwihkIYg19kKMMRq9jdGIMfRErLEnwjRc+InEVOELzJbS6p7l6l3milpT\nMxqes19NLpPApFMiNtrQ4Di5mpfI1qrkOHjwIF+FgredI6Mk278ZUfXWUIiO0IRiRPQg9NL38G1K\nRKOnIQo6hVaEyonaR7cK13Of/6JVI+KMWgWiw7TeXWStsk6Pcv3LWTd1RjQFlqrd6IvFl3GxOAMX\nLRlIL8lErjW/1vdJJBL01EVhaI+rEGvshVhjT8SaeiFSG8adaKJOUuFw+QOxf5e5tKLGxIzqnebm\nXnWUSSUw6pToFaHzTsjQKRvdZdapQ/jLchM8Hg+KHCXYe/kgLpVkIt23GZFnLag3JjRMY8aI6EGI\nMUSjt7EnYgzR6GXowXnQFJC6VbiuGhGn14bUGwnnb8XQKjkijmrxeDzIKsvFBctlXLBc8obp4gxY\nHbZa36dXaDE4sj/6mGLQx9TLuzNt6ME+PqIO4HC6a7deWOu3ZlR93Nyrj1KpBCadAj3DdTUCcu2r\n/FXtMus1Cp7s3QZ2RznSS3wbEcXezYjLJVnek7QvVX+fXqHFwMhE9Db29G9IxBiioVGoxSueqJN1\nWrg+cuQIVq5cifXr1yM9PR1LliyBRCJBYmIiXnjhhRadyfvmUzd0QqXUnbk9bmSUZuN80SVcsFzG\necslpBdnoNJd+1K8PXQRGBzZH33NMehr6o2+phiOZCJqZ1/tTffOXS6tMSXD15phr2gmMEsAg06J\nqFBNrbnL5hphuWqHmYG5/QiCAEt5Cc77NyIuI92SgVxbQa3vk0lliDFEQ+dWYUT8UP+GhEll4DpK\nQa9TwvW6deuwZcsWqNXe31xffvllPPbYY7jmmmuwbNkybN++HZMnT+6MUiiAeAQPssvycK4oHWeL\nLuJ80SVcLL5ca9ydVCJFjCEa8eZY9DXHIM7cG31MMdCEcBeFqKO9+fHhWh9LJIBBq0CkWeNvx6gZ\nkmu2Zhi0Sk5J6mCCICDfVojzlks4b7nkf3WvtNJa6/v0Sh2GRA1AX1MM+phi0NcUg56GHpBLZUhN\nTUXyAPaZE9XUKeE6NjYWq1evxtNPPw0AOH78OEaPHg0AmDBhAvbs2cNwTc0qKi/G2cKLOFt0EWcL\nL+KcJR3lzuqLr0glUvQ29kSCORbxobGIN/dBrLEn2zqIRLL4rhG15jAbtArIWjgtidqXIAgoLLfg\nXFE6zhWl43yRN1DXbY+L0IRidK/hiDP3Rl9zb8SZevNVPaJW6pRwPWXKFGRkZPg/FgTB/4Oq1WpR\nVlbWovtJTU3tkPq6smA9ZpfHhZzKQmRV5CGrMg9ZFXkoc9V+EggNMSJeH4NoZQR6qCIQqQhFiNT3\nX7oEKCkpxDEUinAErRes/84U2G4YFSt2CUHL6rDhbKH3Vb2zRRdxrigdJRWltb4nSheBIVEDEO/b\nkIgz9YZOySkdRFdKlBMaa/ZX22w2GAyGFt0u2EYcpaamBs0xF5eX4GTBOfxw4icUy2w4b7lU60Is\nRqUeyZFDkBgWh36hfdEvtG/AnCATTP/OVYL1mIk6gtvjxqWSLJwuOI8zhRdwpvACsq15tb4nTGPG\n6Jjh6Bfa1x+mOe6OqGOIEq4HDhyIffv24ZprrsGuXbswZswYMcogkQiCgMyyHJzMP4eTBWdxKv9c\nrZNlpBIp4ky9kRgeh6SweCSFxSFCG8aXJYmIAFgrbThdeB6nCs7jdOF5nC28WOukbXWICkOiBiAx\nrK9/M8KkNopYMVFwESVcP/PMM1i6dClef/11xMfHY8qUKWKUQZ3EI3hwqTgTJ/LP4ET+GfySfxZl\nNU6Y0YaoMSJ6MPqHx0NS5Ma0MTdDyT5pIiLvSYf2IpzMP+t9KziHjNJs/9clkCDGGO3fiEgMj0NP\nfRTn8BOJqNPCdUxMDFJSUgAAcXFx+OCDDzrroamTVYXptLzTOJF3Gr/kn4GtxhUOw9RmXBc7CldF\n9MOA8H6IMUb7nwhSU1MZrIkoaAmCgBxrPo7nnfZtRpxBod3i/7pSrsSQqP7oH56A/uEJSAyNC5gW\nOaJA0a0uIkNdU9WTwbHcX3As9xRO5J1GWY0z0CO1Ybg6ZjgGRiRiYEQiWzyIiGrIteYjLfcUjued\nxvH807CUV18mXK/UYXSv4RgQ0Q9XRfRDX1MMZFJeTZioK2O4pjYpq7TiWO5JHM35BUdzT6LAXuT/\nWpjGjOt7DsGgyCQMikxChDZMxEqJqD04nU4sWbIEmZmZkEqlePHFF5GQkCB2Wd1SaUUZjuWdxLGc\nkziWdwr5tuqpRkalHmN7J3s3IyITEWOI5mYEUTfDcE0t4va4cabwIg7nHMeRnBM4X3QJAgQAgFah\nwZiYkRgc1R9Dogaghy6CTwZEAWbnzp1wuVzYsGED9uzZgzfeeAOrV68Wu6xuweV24VTheRzJOYEj\n2Sdwofiy/2vaEDVG9xqOwVH9MTiyP3oZenD9JOrmGK6pUSUVpTicfQKHstNwJOeEv29aJpFiQEQ/\nDOtxFYZGXYV4c2yLLl9PRN1XXFwc3G43PB4PrFYr5HI+fTSlyF6MQ9lpOJR9HEdzf0GFqxIAIJfK\nMSgyCUOjrvLPmOb6SRRYuDqSnyAIuFSSidSsY0jNOoazhRf9u9PhmlCMjR2FEdGDMCgyiZcPJwoy\nGo0GmZmZmDp1KiwWC9asWdPsbYJptrcgCMipLMAbX7+Ds7ZLyHNUt3qYQwwYZExAnCYGvdXRUEhD\ngHKg5GIhDl3sHhe6akow/TtX4TFTUxiug5zb48bJgnM4kHEYB7KO+nv/pBIproroh5E9B2Nk9BC+\nVEkU5N59912MGzcOTzzxBLKzs3HPPfdg69atUCqVjd4m0C8U5HK7kJZ3GgcyD+PnzKOwVHhPRJRL\n5RjW4yqMiB6MEdGDEa2PFLnSjhOsF4TiMQe+K/llguE6CDndThzLPYm9GYeQmnnUP9lDHaLCtbGj\nMKrnEAyPHsSrdxGRn8FgQEhICADAaDTC5XLB7XY3c6vA43A7cSTnBPZdPoSfs47C7muX0yu0GKxP\nxJShkzA06iqoQ1QiV0pEYmG4DhJO3xPCT5cP4uesoyh3VgAAzCojbk6YgNG+UXlyGf9LEFF99957\nL5599lnMmzcPTqcTixcvhkajEbusTuFyu3A45wR+vJyK1MyjKHd5188wjRkT+47B6Jjh6B+egMOH\nDiM5ZoTI1RKR2JikApjb48ax3FPYc+kADmQe8e+wRGhCcWP8OIyJGYF+YX15JS8iapZWq8WqVavE\nLqPTeAQPTuafw+70/fgp4yBsDjsAIEIbhsn9xmNMzEgkhPZhuxwR1cNwHWAEQcDZoov44eJ+/Hj5\nZ5T6LjMepjHjhvjrcG3vZD4hEBE1Iseaj50X9mLXxb3I983vN6uMuD7pBlwXOwr9Qvty/SSiJjFc\nB4gCWxF2XtyLXen7kF2WB8B7Za8p/a7HdbFXIyk8jjvUREQNcLgc2JtxCNvP78Ev+WcAACq5EhP7\njsX4vqMxKCKJ4/KIqMUYrrsxh8uB/ZmHsePCT0jLPQUBAkJkIbg2dhQm9LkGQ3tcBTkvk0tE1KDM\n0hx8fXYXdl3c65/jPygyCZPirsXomOFQyRufhEJE1BiG627oUnEmtp/fU+sJoX94AibFjcWYmJHQ\nKDiDmoioIR6PBz9nHcW2M98jLe8UAMCkMuD2fhNwQ/x16KGLELlCIuruGK67Cafbib2XD+Hrsztx\nqvA8AMDoe0KYGDcWPfVRIldIRNR12Z3l2HH+R3x5ZgfyfPP8B0UmYUq/6zGq1zC+ykdE7Ybhuosr\ntFvw1dmd2H5+D8oqrZBAguE9BuKmhPEY2XMInxCIiJpQXFGKL05/h6/P7oLdWQ6FLAQ3JYzHtMRJ\niDFGi10eEQUghusu6nTBeXyesx2nz/0HHsEDnUKLGQMm46aE8XzZkoioGQX2Inz2y1fYcf5HOD0u\nGJV6zB0yA5MTxkOv1IldHhEFMIbrLqSqF3DrqW9xquAcAKCPsRemJk3CuNiroZArRK6QiKhrK7Rb\n8Okv2/Dd+R/h8rgQqQ3DjAGTMbHvWK6hRNQpGK67AJfbhV3p+/H5ya/8Y/RG9hyCJPTGzHG3cqYq\nEVEzrJU2fHbyK3x5egecHheitOG4Y9A0jO8zGjK2zxFRJ2K4FpHD5cD283uw5eQ3KCy3QCaV4Ya4\na3HrgJsQY4hGamoqgzURUROcbie+PLMDn57YBpuzHGEaM+4cdCsm9L2G56QQkSgYrkXgcDnw7fnd\n+PyXr2GpKIFSpsCvkm7Erf1vRJjGLHZ5RERdniAIOJidhvcOfYwcaz60Cg3mD7sDUxKvh0IWInZ5\nRBTEGK47kcvjxo7zP2LTif+DpbwEKrkSt181Bbf2vwkGnmBDRNQiedYC/PvgRhzKToNUIsXUxEm4\nc/CvoFNoxS6NiIjhujN4BA9+vJSKjWlbkWvNh1KmYKgmImolt8eNL07vQEraVlS6HRgS1R/3jvg1\neht7il0aEZEfw3UH+yX/DN4//AnOFaVDJpXhln4TMWvgLTCpjWKXRkTUbWSUZuPNve/ivOUS9Eod\nHhh1N8b1uZrnpRBRlyNauHY6nViyZAkyMzMhlUrx4osvIiEhQaxy2l2erRDvH96E/RmHAQDXxo7C\nXUNmIIozqomIWswjePDVmZ344OincLqdmNDnGiwYMZuv+hFRlyVauN65cydcLhc2bNiAPXv24I03\n3sDq1avFKqfdOFwOfHbya3x+8ms43U70D4vHghGzkRgWJ3ZpRETdSklFKd7c9x6O5JyAXqHFo2Pu\nw+iY4WKXRUTUJNHCdVxcHNxuNzweD6xWK+Ty7t+hcig7Df9K3YB8WyHMaiPmD5uF62L5siURUWud\nLjiP139ch6LyYgzvMRCLRi+Ame10RNQNiJZoNRoNMjMzMXXqVFgsFqxZs0asUq6YpbwE7x76GD9d\nToVMIsWMATfjjoFToQ5RiV0aEVG3IggCvj67C+8e/hgewYO7htyG2666GVKJVOzSiIhaRLRw/e67\n72LcuHF44oknkJ2djXvuuQdbt26FUqls9DapqamdWGHzBEFAWtkZbC/Yi0qPAz1VkbglYhwiXKE4\ncfR4uzxGVzvmzsBjDg7BeMzUNI/Hg/8eSsFXZ3fCoNTh0bH3Y0jUALHLIiJqFdHCtcFgQEiId9C/\n0WiEy+WC2+1u8jbJycmdUVqLWMpLsPbnD3Ew7xhUciXuHz4Xk/uNb9fdldTU1C51zJ2BxxwcgvWY\nqXEVrkqs+unfSM06hlhjLywZ/yDCtaFil0VE1Gqihet7770Xzz77LObNmwen04nFixdDo9GIVU6r\n7Ms4hLUHPoTVYcPgyP74w+j5iNSGiV0WEVG3VFppxcu73sS5onQMiRqAJ659ABqFWuyyiIjaRLRw\nrdVqsWrVKrEevk0qXJV4/9AmfHt+NxSyENw3cg5u7jeBvYBERG1UWmnFi9+vQnpxBq7vOwYLR90N\nuaz7n+BORMGr1StYXl4eIiMj8fPPP+PUqVOYOXNmt9lxvhKXS7Lw+p51yCzLQR9jLzw69n7EGKPF\nLouIqNuqGaxvTpiA+5LncLOCiLq9VoXrF154AVKpFHfffTeeeOIJXHfdddi7d29AzKduyu70A1h7\n4ANUuh2YljgJ84bNhEIWInZZRETdltVhY7AmooDUqnB97NgxfPLJJ3jzzTcxe/ZsPPzGOJMOAAAg\nAElEQVTww7jjjjs6qjbRuTxuvH9oE7ad/R5quQqPX/t7jOk9UuyyiIi6NZfbhf9vzztIL87A5ITx\nDNZEFFBatZpVXfRl+/btmDBhAsrLy1FeXt5RtYnKWmnDX3euxraz36O3IRovT36GwZqI6AoJgoC1\nP3+I43mnMTpmOO5PnstgTUQBpVU717fffjvGjRuHkSNHYtiwYZg6dSrmzp3bUbWJJqssF6/segvZ\n1jyM6jUMj1xzL1S8IAwR0RXbfOJL7Ly4F/1C++Lha37LYE1EAadV4fq3v/0tFixYAJlMBgD48MMP\nERoaWHNIT+afxSu734bNYcdtA27GXUNv4+JPRNQODmQewca0rYjQhOLp8YuglCvELomIqN21KjVm\nZmbid7/7HW6++Wbk5eXhscceQ0ZGRkfV1ul+zjyKF3f+AxXOCjw4egHuHjaTwZqIqB0U2Yvx9v71\nCJGF4JnxD8KkMohdEhFRh2hVcly2bBnuv/9+aDQaRERE4NZbb8UzzzzTUbV1qu8v/ISVe9ZCAuDp\n8YswMW6s2CUREXUpa9euxZw5czBr1ix8/PHHLb6dx+PB6n3/hdVhwz3DZyPW1KsDqyQiElerwrXF\nYsG4ceMAABKJBL/+9a9htVo7pLDO9NWZnXhr//tQh6iwbOJjGBE9WOySiIi6lH379uHQoUP46KOP\nsH79euTk5LT4tltOfYPjeacxqtcwTE4Y34FVEhGJr1U91yqVCjk5OZBIJACAn3/+GQpF9+6Z+/rs\nTvz74AYYlXosnfgod1SIiBqwe/duJCUl4aGHHoLVasXTTz/dottdsFzGxmNbYFYb8Yerf+N//iAi\nClStCtdLlizBwoULcenSJdx2220oKSnBG2+80VG1dbivz+7Cv1K9wfqFSYt5xUUiokZYLBZkZWVh\nzZo1yMjIwKJFi7Bt27Ymw7IgCPhP6ga4BQ8eHL0ABqWuEysmIhJHq8L10KFDsWnTJly8eBFutxvx\n8fHdduf6+ws/4V+pH8Go1GPZpMcYrImImmAymfxrfnx8PJRKJYqKihAWFtbobT7YmYJTheeRpO0L\nV2Y5UjNTO7FicaSmBv4x1sVjDg7BeMxt1apw/ac//anBz7/88svtUkxnOZSdhjUHPoBWocHSiY+i\nt7Gn2CUREXVpycnJeP/99/Hb3/4WeXl5KC8vh8lkavI2e0oPI0QqxyMT70ekLryTKhVPamoqkpOT\nxS6jU/GYg0OwHnNbtSpcjx492v++y+XC9u3bER8f3+YHF8PZwot4fc86yKQyLBn/IHusiYhaYNKk\nSThw4ABmz54NQRCwbNky/zUPGlNUXoxZA6cGRbAmIqrSqnA9c+bMWh/Pnj0bd911V7sW1JFyyvLw\n8g//hMPjxFPXLUT/8ASxSyIi6jZaehJjlVC1CbdfNaWDqiEi6pqu6Aop586dQ15eXnvV0qHKnRV4\ndfcalFVa8fvkeRjVa5jYJRERBbR7R9wJlVwpdhlERJ2qVTvXAwYMgEQigSAIAIDQ0FA8/vjjHVJY\ne/IIHry5711klGZjWuIk3JQwTuySiIgC3pjeI8UugYio07UqXJ88ebKj6uhQm098iQOZRzAoMgm/\nGX6H2OUQERERUYBqUbh+8803m/z6H//4x3YppiMczEpDStr/EKEJxeKxv4Nc2vQJOEREREREbXVF\nPdddXXFFKd7a/x7kUjmeuG4hDCq92CURERERUQBr0c51YzvTgiAgIyOjXQtqL4Ig4O3961FaacWC\n4bMRHxordklEREREFOBa1XP9wQcf4PXXX0d5ebn/czExMfjmm2/avbAr9dXZnTiUnYahUVdhWtIk\nscshIiIioiDQqraQ//znP/j8888xbdo0fPPNN3jppZcwdOjQjqqtzTJKsrH+yGboFVo8eM0CSCUB\n3f1CRERERF1Eq1JnWFgYevfujf79++P06dOYNWsWLly40FG1tYlH8GDtzx/C6XZi4dW/Qai66cvz\nEhERERG1l1aFa7Vajb1796J///7YsWMH8vPzUVpa2uYHX7t2LebMmYNZs2bh448/bvP91PT9hZ9w\nquAcrokZgdExw9vlPomIiIiIWqJV4fr555/Hjh07MH78eBQXF2Pq1Kn4zW9+06YH3rdvHw4dOoSP\nPvoI69evR05OTpvup6bSijJ8cORTqORK3Dviziu+PyIiIiKi1mjRCY07duzA9ddfj6SkJPzpT38C\nAKxevfqKHnj37t1ISkrCQw89BKvViqeffvqK7g8APjjyKawOG+4dcSfCNOYrvj8iIiIiotZoUbj+\n73//i+XLl2PGjBmYPXs2+vTpc8UPbLFYkJWVhTVr1iAjIwOLFi3Ctm3bIJFIGr1Nampqo1+7XJ6N\n7zN/QpQyDBGl+ia/tzsJlONoDR5zcAjGYyYiosDXonD9/vvvIzs7G1u2bMGiRYtgNptxxx13YOrU\nqVCr1W16YJPJhPj4eCgUCsTHx0OpVKKoqAhhYWGN3iY5ObnBzwuCgE++fRUA8Mj4+5EYFtemmrqa\n1NTURo85UPGYg0OwHjMREQW+FvdcR0dHY+HChfjiiy+wZMkSnDhxAjNnzsTSpUvb9MDJycn44Ycf\nIAgCcnNzUV5eDpOpbZM9DmQewdmiixjTe2TABGsiIiIi6n5adRGZKomJiRg2bBiysrJw8ODBNj3w\npEmTcODAAcyePRuCIGDZsmWQyWStvh+Px4MNx7ZAIpFgzuDpbaqFiIiIiKg9tDhcu91u/PDDD9i6\ndSv279+PiRMn4ve//z1GjBjR5gdvj5MYf0jfj4zSbEyKuxa9DD2u+P6IiIiIiNqqReF62bJl+Oab\nb5CYmIhZs2bhpZdegkql6ujamuVyu5By/H+QS+W4c9CvxC6HiIiIiIJci8J1WFgYUlJS0Lt3746u\np1W+u7AH+bZCTEuchHBtqNjlEBEREVGQa1G4fvTRRzu6jlbzCB7879R2hEjluH3gLWKXQ0RERETU\nuis0diWHso8jx5qPcX1Gw6QyiF0OEREREVH3DddfnN4OAJiWNEnkSoiIiIiIvFo1iu/NN9+s9bFE\nIoFKpUJCQgImTpzYnnU16VJxJo7lnsLgyP7oY4rptMclIiIiImpKq3auL126hB9++AEGgwEGgwE/\n/fQT/n/27jw+yvLc//gn+76SACEhCQES9l0WEUFQQSSK4gJY8BR/VpGWutcianqkKkKPrZ5DrZ5j\nbdEjUKQKR9zBIqgIAQIBkrBlJSH7MtlmJvP8/ggMRHZIMknm+3698sLMM/PMdSfxnmvuuZ/r2rFj\nB2vWrOHVV19tqRjPsjFjEwBT4ye22nOKiIiIiFzMZa1cHzt2jPfffx9PT08AZs6cyZw5c1i9ejW3\n3XZbs9StvpjKuiq+zfqRLv7hDOs2oMWfT0RERETkUl3WynVlZSVWq9X+vcVioaamBgDDMJo3svP4\n6uhWLDYrU3vfgKtLu90yLiIiIiId0GWtXN93333MmDGDCRMmYLPZ2LJlCz/72c949913iY+Pb6kY\n7QzDYEvmdjzcPBjfY3SLP5+IiIiIyOW4rOR67ty5jBo1iu+//x43Nzdef/11evfuTWZmJrNnz26p\nGO2OleVwvOoEY7oPx9fDp8WfT0RERETkclxWcm0YBsnJySQnJ9PQ0IDNZqNnz57Exsa2UHhNbc3e\nAcB1Mde0yvOJiIiIiFyOy0quX331VbKyspgxYwaGYbBu3Tpyc3N59tlnWyq+Jr7L3omfhw9DuvZr\nlecTEREREbkcl5Vcb9u2jY8++ghX18YLCSdMmEBiYmKLBHYupbXlTOxxLR5uHq32nCIiclpJSQl3\n3nkn77zzDj179nR0OCIibc5lldtoaGhoUi2koaEBNze3Zg/qQrQlRETEMSwWC88//zze3t6ODkVE\npM26rJXrxMRE5s6dy6233grAJ598Yv/v1hDiHUS/8JavSiIiImdbunQpM2fO5K233nJ0KCIibdZl\nJdcPP/wwffv25YcffsAwDB5++OFWbXt+bfQI+5YUERFpPevWrSM0NJRx48ZdcnKdnJzcwlG1PRqz\nc9CY5UIuK7kGGD9+POPHj7d/n5SURFJSUnPGdF7aEiIi4hgffvghLi4ufP/99xw8eJDf/OY3/PnP\nfyY8PPy8jxk+fHgrRuh4ycnJGrMT0Jidw9W8mbjqZeD169df7SkuWc/QmFZ7LhEROe3999/nvffe\nY+XKlfTt25elS5deMLEWEXFWV51ct1bbcxERERGRtu6yt4X8lIuLS3PEISIi7cTKlSsdHYKISJt1\nScn1nDlzzplEG4ZBfX19swclIiIiItIeXVJy/atf/aql4xARERERafcuKbkeOXJkS8chIiIiItLu\nObxodElJCePHj+fIkSOODkVERERE5Ko4NLlWK10RERER6UgcmlyfaqXbuXNnR4YhIiIiItIsrroU\n35VSK91LozE7B41ZRESkY3BYcq1WuhfnrO1GNeaOz1nHLCIiHZ/Dkuv333/f/t9z5swhKSlJrXRF\nREREpF1zeLUQEREREZGOwmEr12dSK10RERER6Qi0ci0iIiIi0kyUXIuIiIiINBMl1yIiIiIizUTJ\ntYiIiIhIM1FyLSIiIiLSTJRci4iIiIg0EyXXIiIiIiLNRMm1iIiIiEgzUXItIiIiItJMlFyLiIiI\niDQTJdciIiIiIs1EybWIiIiISDNRci0iIiIi0kyUXIuIiIiINBMl1yIiIiIizUTJtYiIiIhIM1Fy\nLSIiIiLSTJRci4iIiIg0E3dHByAiIm2fxWJh0aJF5OXlYTabmT9/PpMmTXJ0WCIibY6SaxERuaj1\n69cTHBzMsmXLKC8vZ/r06UquRUTOQcm1iIhc1JQpU5g8eTIAhmHg5ubm4IhERNomJdciInJRfn5+\nAJhMJhYuXMijjz560cckJye3dFhtjsbsHDRmuRAl1yIickny8/NZsGABs2fPJjEx8aL3Hz58eCtE\n1XYkJydrzE5AY3YOV/NmwmHJtS6OERFpP4qLi5k3bx7PP/88Y8aMcXQ4IiJtlsOSa10cIyLSfrz5\n5ptUVlayYsUKVqxYAcDbb7+Nt7e3gyMTEWlbHJZc6+IYEZH2Y/HixSxevNjRYYiItHkOS66v5OIY\nEREREZG2zKEXNF7uxTHOeKWqxuwcNGYREZGOwWHJ9ZVcHOOMV6pqzB2fxuwc9GZCRMQ5uDrqic+8\nOGbOnDnMmTOHuro6R4UjIiIiInLVHLZyrYtjRERERKSjcdjKtYiIiIhIR6PkWkRERESkmSi5FhER\nERFpJkquRURERESaiZJrEREREZFmouRaRERERKSZKLkWEREREWkmSq5FRERERJqJkmsRERERkWai\n5FpEREREpJkouRYRERERaSZKrkVEREREmomSaxERERGRZqLkWkRERESkmSi5FhERERFpJkquRURE\nRESaiZJrEREREZFmouRaRERERKSZKLkWEREREWkmSq5FRERERJqJkmsRERERkWai5FpEREREpJko\nuRYRERERaSZKrkVEREREmom7o57YZrORlJREeno6np6eLFmyhJiYGEeFIyIiF6A5W0Tk0jhs5fqr\nr77CbDazevVqnnjiCV555RVHhSIiIhehOVtE5NI4LLlOTk5m3LhxAAwZMoTU1FRHhSIiIhehOVtE\n5NI4LLk2mUz4+/vbv3dzc8NqtToqHBERuQDN2SIil8Zhe679/f2prq62f2+z2XB3v3A4ycnJLR1W\nm6MxOweNWdo6zdmXRmN2DhqzXIjDkuthw4axefNmpk6dyp49e4iPj7/g/YcPH95KkYmIyE9pzhYR\nuTQuhmEYjnjiU1eeZ2RkYBgGL730Ej179nREKCIichGas0VELo3DkmsRERERkY5GTWRERERERJqJ\nkmsRERERkWai5FpEREREpJk4rFrIpXKWlrsWi4VFixaRl5eH2Wxm/vz59OrVi2eeeQYXFxd69+7N\nCy+8gKtrx3o/VFJSwp133sk777yDu7t7hx8vwF/+8hc2bdqExWJh1qxZjBw5ssOO22Kx8Mwzz5CX\nl4erqysvvvhih/49p6SksHz5clauXElWVtY5x7lmzRpWrVqFu7s78+fP54YbbnB02M1Kc3bH/Ns+\nk7PN2840Z4Pm7WaZt4027vPPPzd+85vfGIZhGLt37zYefvhhB0fUMtauXWssWbLEMAzDKCsrM8aP\nH2889NBDxg8//GAYhmE899xzxhdffOHIEJud2Ww2HnnkEePmm282Dh8+3OHHaxiG8cMPPxgPPfSQ\n0dDQYJhMJuP111/v0OP+8ssvjYULFxqGYRhbt241fvnLX3bY8b711lvGtGnTjLvvvtswDOOc4yws\nLDSmTZtm1NfXG5WVlfb/7kg0Z3e8v+0zOdu87WxztmFo3m6OebvNv+1wlpa7U6ZM4de//jUAhmHg\n5ubG/v37GTlyJADXX3893333nSNDbHZLly5l5syZdO7cGaDDjxdg69atxMfHs2DBAh5++GEmTJjQ\nocfdo0cPGhoasNlsmEwm3N3dO+x4o6OjeeONN+zfn2uce/fuZejQoXh6ehIQEEB0dDRpaWmOCrlF\naM7ueH/bZ3K2edvZ5mzQvN0c83abT66dpeWun58f/v7+mEwmFi5cyKOPPophGLi4uNiPV1VVOTjK\n5rNu3TpCQ0PtL8JAhx7vKWVlZaSmpvKnP/2J3/3udzz55JMdety+vr7k5eVxyy238NxzzzFnzpwO\nO97Jkyc36Vh4rnGaTCYCAgLs9/Hz88NkMrV6rC1Jc3bH+9s+xRnnbWebs0HzdnPM221+z/WVtNxt\nr/Lz81mwYAGzZ88mMTGRZcuW2Y9VV1cTGBjowOia14cffoiLiwvff/89Bw8e5De/+Q2lpaX24x1t\nvKcEBwcTFxeHp6cncXFxeHl5UVBQYD/e0cb97rvvct111/HEE0+Qn5/P/fffj8VisR/vaOM905n7\nEU+N86fzWXV1dZNJuyPQnN2oI/5tO+O87WxzNmjePuVq5u02v3I9bNgwtmzZAnBJLXfbq+LiYubN\nm8dTTz3FXXfdBUC/fv3Yvn07AFu2bGHEiBGODLFZvf/++7z33nusXLmSvn37snTpUq6//voOO95T\nhg8fzrfffothGJw4cYLa2lrGjBnTYccdGBhon4SCgoKwWq0d+u/6TOca56BBg0hOTqa+vp6qqiqO\nHDnS4eY0zdkd92/bGedtZ5uzQfN2c8zbbb5Do7O03F2yZAmffvopcXFx9tueffZZlixZgsViIS4u\njiVLluDm5ubAKFvGnDlzSEpKwtXVleeee67Dj/fVV19l+/btGIbBY489RlRUVIcdd3V1NYsWLaKo\nqAiLxcLcuXMZMGBAhx1vbm4ujz/+OGvWrOHYsWPnHOeaNWtYvXo1hmHw0EMPMXnyZEeH3aw0Z3f8\nORuca952pjkbNG83x7zd5pNrEREREZH2os1vCxERERERaS+UXIuIiIiINBMl1yIiIiIizUTJtYiI\niIhIM1FyLSIiIiLSTJRci4iIiIg0EyXXIiIiIiLNRMm1iIiIiEgzUXItIiIiItJMlFxLs/nggw+4\n7bbbmDp1KrfeeitPPfUUx48fv6THLl68mNTU1Ct+7qqqKubOnXvFj78cGzdu5Pbbb29y28yZMxk3\nbhxnNjz9xS9+wfvvv39Z5544cSL79u1rljhFRAAaGhr461//yp133sntt9/O1KlTWbZsGWaz+YrP\n+fXXX7NkyRIAvvnmG/70pz9d9DFz5szhs88+O+/xTz/9lLvvvpspU6aQmJjIggULSE9Pv6R4/vM/\n/5Ovvvrq0oI/j3nz5lFaWnrW7du3b2fQoEHcfvvt9q8bb7yRhx9+mLKysoue98zXt2effZbvvvvu\nquKUtk/JtTSLpUuX8sUXX/CXv/yFjRs3smHDBsaOHcu9995LQUHBRR//3XffNUlML1dFRUWrJaVj\nx47lyJEjlJeXA1BaWkphYSGdOnWyx2CxWNixYwcTJkxolZhERM4nKSmJ3bt387e//Y2PP/6YtWvX\ncuzYMZ599tkrPuekSZNYvHgxAPv27aOiouKqYnzvvfd46623ePnll/nss8/YsGED99xzD/PmzePg\nwYMXffz27duxWq1XFcO2bdvOeyw6OpqPP/7Y/vX555/j6urKO++8c9Hznvn69vvf/55rr732quKU\ntk/JtVy1goICVq1axR//+EciIiIAcHV1Zfr06UyePJm//OUvwNmrsqe+f+211ygsLOTJJ58kJSWF\nOXPmkJSUxF133cWkSZN4/fXXAcjNzWXo0KH2x5/5/W9/+1vq6uq4/fbbaWhoaBLfM888w29/+1vu\nuecebrzxRl544QUsFgsAR44cYd68efYVnbVr1wKNE/Vtt93GzJkzue2225qs8AQFBTFgwAB27twJ\nNK7ajB07lgkTJrBp0yYA9u7dS2RkJJGRkVgsFl588UWmTp1KYmIizz77LCaTyf4zePTRR7nlllv4\n8ssv7c9RXV3Nfffdx7JlywA4ceIECxYs4M477yQxMZE333zT/jMYP3488+bNY/LkyRQWFl75L1JE\nOpycnBw2bNjASy+9REBAAAC+vr787ne/46abbgLg2LFj/PznP+fee+/lhhtuYP78+dTX1wPQr18/\nli5dyp133smUKVP44osvAFi3bh0PPfQQKSkprFq1io0bN/Laa69RU1PD008/zT333MPkyZO58847\nOXr06AVjNJvNvPbaayxfvpxevXrZbx8/fjwPPvggr732GnD2yvep799//31SU1N59dVX+fLLLy84\n5yckJDRZnT71/W9/+1sA7r//fvLz8y/6czWZTJSWlhIUFATAnj17uO+++7j77ruZMGECixYtAjjn\n69upMXz11VdMnz6dxMREZs2axd69ey/6vNI+KLmWq5aSkkJcXJx9kjnTtddeS3Jy8gUf/9hjj9G5\nc2eWL1/O4MGDATh+/DgffPAB//znP9m4cSObN2++4DlefvllvL29+fjjj3FzczvreFpaGn/961/Z\nuHEjR44cYfXq1VitVhYuXMgTTzzBunXreO+993jnnXfYs2cPAIcOHeIPf/gD69evx9PTs8n5rr/+\nerZv3w7A5s2bmTBhQpPk+vvvv2f8+PEA/PnPf6awsNC+4mGz2Xj11Vft5+rduzeffvqp/YXOZDLx\nwAMPMH78eJ566ikAnnrqKWbMmMG6detYu3Yt3333HRs3bgQa39w88sgjfP7553Tu3PmCPycRcS4H\nDhygV69e+Pv7N7k9PDycm2++GYA1a9Ywffp0Vq9ezRdffEFubi7ffPMN0LilJCgoiHXr1vHHP/6R\nRYsWNUlOBw8ezMyZM5k6dSqPPfYYW7ZsITAwkDVr1vD5558zYMCAi26Py8jIwMPDg549e551bMyY\nMRd9DbnvvvsYMGAATz/9tH0ePdecfyEvv/wyAH/729/si0Rnys7O5vbbb2fatGmMGTOGf/u3f2Pi\nxIncf//9APz9739n4cKF/OMf/+CTTz5h06ZNpKamnvP1DRoXdl544QXeeOMNNmzYwMKFC3nkkUfs\nCy/Svrk7OgDpGM73cZzZbMbFxeWyz3fvvffi4eGBh4cHU6ZMYevWrfTu3fuK47vjjjvw8/MD4Pbb\nb+frr79m9OjRZGdn21cYAOrq6jhw4AA9e/YkIiKCyMjIc57v+uuv59lnn8VsNrNz505effVVvLy8\nKC4upri4mO3bt7Nw4UIAtmzZwmOPPYaHhwfQuNqyYMEC+7lGjBjR5NxPPfUU7u7u9j3kNTU17Nix\ng4qKCvu+xpqaGtLS0hg0aBDu7u4MGTLkin82ItJxubq6YrPZLnifp556im3btvH222+TmZlJYWEh\nNTU19uM/+9nPAOjTpw/x8fHs2LHjvOeaMmUK3bt3Z+XKlWRlZfHjjz82+cTxfJr7NeRcc/6pcVyJ\nU9tCAD788ENee+01Jk2aZJ/XX3nlFbZs2cKbb77J0aNHqaura/Iz/KkffviB0aNH0717d6DxTURo\naCipqamMHj36iuOUtkHJtVy1IUOGkJWVRVFREeHh4U2Obd++vcnEeua+6gtdTOPufvpP0zAMXF1d\ncXFxafL4Ux/zXYozV7NPna+hoYHAwED7hAlQXFxMQEAAe/bswdfX97zn69+/PyUlJXz11VcMGDAA\nHx8fAMaNG8e2bds4evSofdw/fWGz2WxNYv/p88yfP5/t27ezbNkynnvuOWw2G4ZhsGrVKvvzlJaW\n4uXlRVlZGZ6enk1+XiIipwwaNIijR49iMpmarF6fOHGC5557jtdff51nnnmGhoYGbrnlFiZMmEB+\nfn6TufbM+dNms53z08FT/vd//5c1a9Zw3333kZiYSHBwMLm5uU3u88EHH7Bq1SoABgwYwPPPPw/A\nwYMH6du3b5P7Xug15EKvAeea83/qSi/onDFjBikpKTz++ON8+OGHuLu7c99999GnTx/GjRvHLbfc\nQkpKygWvIzrXMcMwrnrfuLQN2hYiV61Lly7MmTOHxx9/nBMnTthv//DDD/niiy948MEHAezvyqFx\nf1pRUZH9vm5ubk0mlfXr12Oz2aioqODTTz9l4sSJBAYGYrFYOHz4MECTPcru7u40NDScdzL79NNP\nMZvN1NfX889//pMbbriBHj164OXlZU+u8/PzmTZt2iVVLXFxcWHs2LG8+eabTS5anDBhAu+88w4j\nR460J7zjxo1j1apVWCwWbDYb77//PmPHjj3vuQcNGkRSUhKfffYZW7duxd/fnyFDhvDXv/4VgMrK\nSmbNmsXXX3990ThFxLl16dKFxMREFi1aZN9yYDKZSEpKIjg4GG9vb7Zu3cqCBQuYOnUqLi4upKSk\nNLl25aOPPgJg//79HDt2jGuuuabJc5w5f2/dupU77riDu+++mx49erBp06azroOZNWuWfZvc73//\ne7y8vHjyySd5+umnOXLkiP1+33zzDf/zP//Dr3/9a6Dpa0h2dnaTSiI/fQ0510EM73wAACAASURB\nVJx/6hynrv058zXkXOe4kCeeeILCwkLee+89KioqSE1N5cknn+Tmm2/mxIkTZGdn2xdWznXe0aNH\ns23bNnJycoDGrYT5+flNto5I+6XlLmkWTzzxBP/4xz+YP38+ZrMZs9nMwIEDWbVqlX1rxZNPPklS\nUhKrV6+mf//+9O/f3/74G2+8kccee8xe2qmuro677rqL6upqZs+ezZgxY4DGjy8ffPBBQkNDmTJl\niv3x4eHh9OvXj1tuuYUPPviAkJCQJvF5e3sze/ZsKisrmTx5MjNmzMDV1ZUVK1bw+9//nv/+7//G\narXy61//muHDh9v3U1/I9ddfz0cffWSftAGuu+46nnrqKX7+85/bb5s/fz5Lly5l+vTpWK1WBg0a\nxHPPPXfBc4eGhvLCCy+waNEiNmzYwPLly3nxxRdJTEzEbDYzbdo0brvttrNWhEREfuqFF15gxYoV\nzJw5Ezc3N8xmMzfeeCO/+tWvgMbrXhYsWEBQUBA+Pj5cc801ZGdn2x+/a9cu1qxZg81m47XXXjvr\n+poxY8bwq1/9Cg8PD+bNm8fzzz/PunXrcHNzo3///mRkZFw0xpkzZxIWFsbixYuprKzEarXSo0cP\n3nnnHftq9vz583nmmWf417/+RVxcXJMtdTfccANLly61r2afa86HxrJ4//7v/05gYCDXXnttk09b\nb7rpJmbPns2KFSuIj4+/YLxBQUE8+eSTvPzyy0ybNo1f/OIX3HHHHQQHBxMSEsKwYcPIyspizJgx\nZ72+AfTq1YsXXniBX/7ylzQ0NODt7c2bb75pv+hU2jcX42rqn4m0gDlz5nDfffc1SZ6vxjPPPEPv\n3r154IEHmuV8IiLOIiEhge+//57Q0FBHh3LJNOeLo2lbiIiIiIhIM9HKtYiIiIhIM9HKtYiIiIhI\nM1FyLSIiIiLSTJRci4iIiIg0k3ZTiu9i7U9FRNq64cOHOzqEVqM5W0Tauyuds9tNcg3O9cIEjS9O\nGnPHpzE7B2dMNp3xd6wxd3was3O4mjlb20JERERERJpJu1q5FhGR5pGSksLy5ctZuXKl/baioiIe\nf/xx+/cHDx7kiSeeYNasWdxxxx34+/sDEBUVxcsvv9zqMYuItAdKrkVEnMzbb7/N+vXr8fHxaXJ7\neHi4PdnevXs3r732Gvfccw/19fUYhtEkERcRkXPTthAREScTHR3NG2+8cd7jhmHw4osvkpSUhJub\nG2lpadTW1jJv3jzmzp3Lnj17WjFaEZH2RSvXIiJOZvLkyeTm5p73+KZNm+jduzdxcXEAeHt788AD\nD3D33XeTmZnJgw8+yGeffYa7u15CRER+SjOjiIg0sX79eubOnWv/vkePHsTExODi4kKPHj0IDg6m\nqKiIiIiIC57HGSukaMzOQWOWC1FyLSIiTaSmpjJs2DD792vXriUjI4OkpCROnDiByWQiPDz8oudx\nxtJdGnPHpzE7B5XiExGRK7ZhwwZWr14NQGlpKf7+/ri4uNiP33XXXVRVVTFr1iwee+wxXnrpJW0J\nERE5D82OIiJOKCoqijVr1gCQmJhovz00NJSPP/64yX09PT35wx/+0KrxiYi0V0quRURakGEY1NZb\nHR2GiIi0EiXXIiLNqK7eyuHcctKzykjLKiU9q4yyqnqSZkc5OjQREWkFSq5FRK6QYRjkF1eTllVK\nWlYZ6VllZOZXYrMZ9vuEBnozdnA3B0YpIiKtScm1iMglqq61cCinzJ5Ip2eVUlVjsR/3cHclvnsw\nfWJDSYgJISE6lPCQxi6IzljG6oElXzg6hFZVbzbj9anG3NFpzM7hkVs6XfFjlVyLiJyDzWaQc6Lq\nZCJdSnp2GTknqjBOL0rTJdSXofGdSYgNoU9MKD26BeHhriJMIiLOTMm1iAhQYaonPbtxRTojq4yM\nnDJq6k5fiOjt6cbAnmEkxIQQHx1CQkwIIQHeDoy47fufxTc7OoRW5ay1gDXmjs9Zx3yllFyLiNOx\nNtjIPF5pX5FOyyojv7i6yX2iOvszekAIfWJD6RMTQnTXQNxcXc5zRhERkUZKrkWkwyupqD25R7qx\ngsfhnHLMVpv9uJ+PB8MSOjdZlQ7w9XRgxCIi0l4puRaRDsVsaeBoXgVpZ5TCKy6vtR93dYGYiEDi\noxv3SSfEhBAZ7o9rM69K22w2DpdmklJwgGNlOUzyHdms5xcRkbZJybWItFuGYVBYVktaZunJ/dKl\nHM2rwNpw+qrDIH9PRvXval+V7t09GF9vjxaJp7SmnD0FB9hTsJ99J9KoNtcA4ObiyqSeSq5FRJxB\niyXXFouFRYsWkZeXh9lsZv78+UyaNMl+/N133+Uf//gHoaGhAPzud78jLi6upcIRkQ6grt7KoZxy\n+4p0enYZ5VX19uNuri7ERQaREB1Cwsm90l1CfXFxaZm90uYGC2lFh9lTcICUggPkVBy3H+vkG8Lo\nqGEM7tqXgV36kLbvYIvEICIibUuLJdfr168nODiYZcuWUV5ezvTp05sk16mpqSxdupQBAwa0VAgi\n0o7ZbAZ5RSZ7Ep2eVUpWfiVn9GchLKixQUufk6vSPaOC8fJwa9G4CqoKG1en8/ezvzCD+gYzAJ5u\nHgzp2o8hEf0Z3LUf3QK6tFhSLyIibVeLJddTpkxh8uTJQONHt25uTV/w9u/fz1tvvUVRURETJkzg\noYceaqlQRKQdMNWYycguJz2rlLTsxnJ4ptrTDVo83V1PNmdpXJFOiAmhU5BPi8dVZ63nQGEGu/P3\ns6fgACdMRfZjUYERDO7aj6ER/ekT3gtPt5bZbiIiIu1HiyXXfn5+AJhMJhYuXMijjz7a5Pitt97K\n7Nmz8ff355e//CWbN2/mhhtuuOA5nbHDmcbsHJxtzDabwSdffU9uiZnc4sav4kprk/uE+LsxKNaX\nqDBPIjt50jXE42QpvDqw5JN5OJ/MFojNMAxKLRUcrcnlaHUOOXUFNBgNAHi6eBDvF0sP3yjifKMI\n9PAHG1jyatiXt7cFohERkfamRS9ozM/PZ8GCBcyePZvExET77YZhcP/99xMQEADA+PHjOXDgwEWT\na2csYK4xd3zOMObyqnoysk9X70jLLMFsPb2/w8fLjcG9wxoreMSGkhAdQpC/V6vFV281s78wnd35\n+9ldkEphdYn9WExwFEMj+jOkaz/iw3ri7npl206c7Q2UiEh7YWmwUFFXRXldJeV1lVTVmwjkyl+D\nWiy5Li4uZt68eTz//POMGTOmyTGTycS0adPYuHEjvr6+bN++nRkzZrRUKCLSiixWG8eOV9jrSqdn\nl1JQUtPkPuFB7gxJ6GZPprt3CWj1Bi0FpiJ2H09ld34q+wszsNgaV859PXwYHTWMIRH9GRLRj1Cf\n4FaNS0RErp5hGNRYaimrraCsrqLx39oKyusqKauroKKukvLaSsrrKqi21J71+N/0+n9X/Nwtlly/\n+eabVFZWsmLFClasWAHA3XffTW1tLffeey+PPfYYc+fOxdPTkzFjxjB+/PiWCkVEWlBxea29OUt6\nVhlHcps2aAnw9WBE3y4n60qH0Ds6hPQDexk+fGirxmltsHKw+DC7jqeyK38f+VWF9mPRQZEM6zaA\nIV37Ex8Wd8Wr0yIi0vKsDVZK6yoorSmjtLa88aum8d+yugpKaysoqy3H3GC54HkCPP0I9Q0hzjuG\nIO9Agr0CCPIOJMg7AEqvPL4WS64XL17M4sWLz3t8+vTpTJ8+vaWeXkRaQL2lgcM55fYV6fSsMkoq\n6uzHXV1diI0IJCEmxF7BIzLc32FVM8pqK9idn8qu46nsPXGQOmtj2T4vdy9GRA5mWMQAhkb0p5Nv\niEPiExGRphpsDZTVVVBcXUZJbWnjvzVlFNeWUVpTRkltORV1led9vAsuBHkHEBnYlRCfYEK9gwj2\nCSLUJ4hg7yCCvQMJ8QkiyDvwggspyaVXvpVPTWRE5JwMw6CgpIb0U/uks8s4lldBwxm18IIDvBg9\noKu902GvqGC8vRw3rdgMG0dLs9mVv49dx1M5WpZtP9bVP5xhEQMY1m0gfcN74aHKHiIirc7cYKG4\nppSi6hKKqksprimhsLqUkppSiqpLKa0tx2bYzvlYDzcPOvkEE9U5nlCfYDr5hhDqE2z/CvFpTJ7d\nHPzpo5JrEQGgps7CoZOr0qe2eFRWm+3H3d1c6dU9mISYEBJOtg4PD/FxeC3nOksde0+kkXx8H7vy\nU+0rGm4urgzsksDQiIEM6zaAbgFdHBpnW5OSksLy5ctZuXJlk9vP1eArNjaWpKQk0tPT8fT0ZMmS\nJcTExDgibBFp42w2G6V15RSaijlhKuZEdTGF1SUUmRr/LaurOOfjXFxcCPUJpndoLGF+oXTyDSXM\nN4Qw3xA6+YbSyTeEAE8/h7/mXAol1yJO6FSDltNtw8vIKqjEOKNBS+cQHwb16naytnQIPSOD8HBv\nG3uRi6tL2Xl8L8nH97G/MAPryYsRA738mRA7hmHdBjCoa198PVq+DnZ79Pbbb7N+/Xp8fM7++Zyr\nwdcXX3yB2Wxm9erV7Nmzh1deeYU///nPrRmyiLQh1gYrhdXFFJiK7F8nTv5bVF1qn5PP5OriSiff\nEPp3jifcrxPhvqGE+3Wis18nwvw6EeoT3GGud1FyLeIEqmrMp6t3ZJWSkV1Gdd3pyc/Tw41+PTrZ\n90n3iQ0lNNDbgRE3dWq7x6mEOqs8134sJjiK4d0GMixiAL06xeLq4urASNuH6Oho3njjDZ5++umz\njp2rwVdycjLjxo0DYMiQIaSmprZ2yCLSymyGjeKaMvKrTpBcvp+UXYfJryqkoKqQwpoSjDNXY04K\n8PQjJjiSLn5hdPEPp4t/GJ39OtHZL4xOviEO367RWpRci3QwDQ02sgqqGjsdnkym84qqm9wnMtyP\nkf272mtKx0QE4u7WtpJSs9XMvsJ0dubtJfn4XspPbvdwd3VnSNd+DO82iOHdBhLmF+rgSNufyZMn\nk5ube85j52rwZTKZ8Pf3t9/Hzc0Nq9WKu/uFX0Kcsba3xuwcOtKYzTYLpeYKSi3llJgrKLGUU2ou\np8xSifVkAy0Aihv/8XPzIdKrM8EegYR4BBLiEUSIRyDBHgF4u51RG9oClEF9WTU5VJNDVquOy5GU\nXIu0c2WVdfYkOj27jEM55dSbT0+Ivt7uDIkPt++VTogJJdDP04ERn19lvYldx/exIy+FvQUHqW9o\n3PMdcHK7x/DIgQzq0hcfj7azqt6RnK/Bl7+/P9XVp9+g2Wy2iybWoMZfzkBjbj9qLXXkVuaTU5FP\nbmU+eZX55FbkU1Rzds05L3cvugd3o1tAF7oFdKGuuIaxg0bRNaCz02y3u5o3UEquRdoRi7WBo3mn\nG7SkZZVSWHa6+L2LC0R3CbBv7egTE0JU5wBcW7lBy+UoqCpkR95eduTtIb3kqP2jxm4BXRgROZgR\n3QYR36kHrq5ta2W9Izpfg6+6ujo2b97M1KlT2bNnD/Hx8Y4OVUTOw9pgJa+qgOzy4+RUHie74jg5\n5XnnTKKDvQPp3zmeyMCuRAVGEBnYlciAroT4BDW5cDA5OZm4UF3EfKmUXIu0UYZhUHSyQcupRPpI\nbgXWhjMbtHhyTb8u9lXp+OgQfL3bdok5wzDIryti1b6P2ZGbQk5lPtBYmzQ+LI5rIgcxInKwqnu0\nog0bNlBTU3PeBl82m41t27Yxc+ZMDMPgpZdecnTIIgJU1FWSWZ5LZlkuWRV5ZJXncryygIaflLIL\n9g5kYJc+dA+MICqoG92DGhNpf08/B0XesSm5Fmkj6sxWjuRWNNkrXVpZbz/u5upCj26B9lXphJgQ\nIjq1j7JEVlsDB4sO8WPuHnbkpVBaWw401iwd3m0g10QOYXi3AQR5Bzo4UucRFRXFmjVrAEhMTLTf\nfq4GX66urvz7v/97q8YnIqcZhkFhdTHHynI4VpZDZnkOmWW5Z5W183L3Ii40huigSKKDuhETHElU\nUDcCvfzPc2ZpCUquRRzAMAzyi6tJyypj684yVm75hmPHK7Gd0aAlNNCLMQMj6BPTuE+6Z1QQ3p7t\n53/ZequZlIID/Ji3h+Tj+6g21wDg5+lL/4Be3DJoEoO69sXb3esiZxIRcR6GYVBUXcLh0iyOlmVx\ntDSbY2XZVFtqm9yvk28Iw7sNJDa4O7EhUcQERdLZP0wVk9qA9vNKLdKO1dRZyMg+tb2j8d+qmtMN\nWjzcXe3bOvrEhpAQHUpYsHe7WJU+U425ll35+9ieu4c9+fvtFySG+gQzrtdIRkYNpk94b1J272F4\n1BAHRysi4niVdVUcLs1s/CrJ5EhpFlXmphWeuvqHM7hrP3qERNMjpDuxId21Gt2GKbkWaWY2m0HO\niaomFTxyTlQ1bdAS6svQhMYKHkZNIVMnjcLDvX2uNlTWm9iZl8L23D3sO5Fmbx4Q4d+ZUd2HMjJy\nCHGh0VpNERGnZ22wklmeS0bJUQ6VHONwSSYnqoub3KezXycGdOlDz9Bo4kJiiAuJxtfTOSp0dBRK\nrkWuUoWp3r4qnZ5VRkZOGTVnNGjx9nRjQFwY8dHB9rrSIWc0aElOLm93iXV5bQU/5u1he+5u9hce\nwnby4pmY4ChGRQ1lVNQQogIj2t3Ku4hIc6qqN5FefJSMkqOkFx/hcGkWlgaL/bi/px9DI/rTKzSW\nXp1i6RkaqxXpDkDJtchlsDbYyMyvtFfvSM8qI7/4pw1a/BkzsHGfdEJ0CDFdA3BrYw1arkRpTTnb\nc3fzQ+5u0ooOY9C4FN87NLZxhTpqKF39wx0cpYiI45TUlHGg8BAHiw+TVnSY3JPVkABcXFyIDook\nvlMP4jvFER8WR1f/cC1CdEBKrkUuoKTidCm8Uw1azJbTDVr8vN0ZGh9ur96REB2Cv2/bbNByJUpq\nytieu5vvc3aRXnwEaCyZlxAWx+juwxgZNYQwX3VIFBHnVFRdwv7CDA4UHuJAUQaF1SX2Y15ungzs\nkkBCWE/6hPWiV6dYp2nA4uyUXIucZLY0Nmg5tVc6LauM4vLTV2e7ukB010B7Et0nNpTIcP823aDl\nSpTWlPND7q6zEup+4b3tCXWoT7CDoxQRaX1ltRUcqDrMjh8PkFqY3iSZ9vP0ZUS3QfQN703f8F7E\nhnTH3dXNgdGKoyi5FqdkGAaFZbVNakofzavA2nD6qsMgf09G9uvaWL0jJoReUcFtvkHLlSqvreCH\n3N18n5NMWtERDAxccKF/53hGRw1jVNQQgn2CHB2miEirqrPUcaDoEHsLDrLvRJq96RWAn4cP10QO\npn/nePqFxxMd3E0Xbgug5FqcRG29lcM55fZ90unZZZRXNW3QEhcZ1LgqHdPYNrxLqG+H3gtXWW/i\nx9zdbMveyYGiQxhGY0LdJ7wX13YfroRaRJyOYRhkleeyp+AAKQUHSCs+QoOtcSugp5sHg7v2I8Ti\nz5Rhk4gNjsLVVcm0nE3JtXQ4NpvB8WLT6b3SWWVk5ldwRn8WwoK8uXZQBH1iGvdK94wKxsuj4398\nV2OpZUduCtuyd7D3RJq9ykdCpzjGRA9ndPdh2vIhIk6l2lzD3hMH2X18P3sK9lNeVwk0boeLC4lm\nUNe+DOzSh4SwODzcPEhOTiYuNNrBUUtbpuRa2j1T7ckGLZmlpGWXkZFVhqn2dKkjT3fXxtXok2Xw\nEmJCCAt2notKzFYzu/JT2Zq9g93HU7GcrEMdFxLNtdEjuLb7cML8dFGiiDgHwzA4XnWC5OP7SD6+\nj/TiI/aFhiDvQK6PHcWQrv0Z1LWvyuLJFVFyLe1Kg80gu6DyjAoepeScMDW5T0QnP4b36WLfKx0b\nEdTu6khfrQZbA6mF6WzN2sGPuXuotdYBEBUYwdjoEVwbPYKIgM4OjlJEpHXYbDbSS46wI28vyXl7\nyTcVAo2r071CYxjabSDDIvoTG9Jd+6blqim5ljatvKre3uUwPauMQzll1NafLoXn4+XGoF5hTVal\ng/y9HBix4xiGwZHSLL7N+pHvcpKpOPnRZphvKJN7j2ds9AiigyI79D5yEZFTLA0W9p1I58fc3ew8\nvpfK+saFGC93L0ZGDWFEt0EMjehPkHeggyOVjkbJtbQZFquNvBIzx789al+VLiipaXKf7l0CTpbB\na7zwsHuXANw6WCm8y1VQVci3WT/ybdaPFJiKAAjw8ufmXtdzXfRI4sN6aCVGRJyC2WpmT8EBfsjd\nTXLeXvundkHegUyKu45rIgczoEsCnm4ds/KTtA1KrsVhSipqScsqIy2zsYLHkdxyzFYb0Phxnb+P\nB8P7dG7sdBgTQnx0CP4+mhChsaXud9nJbMnazqGSY0Djlexjo0cwLmYkg7r2U31VEXEKlgYLKQUH\n+C47mZ3H91JnbawEFe4bysS4sYyKGkp8px6q7CGtRsm1tIp6SwNHcsvPqOBRSnFFnf24qwvERgQR\n6mtl3DXxJMSE0i3MT1sYzmBtsLIrP5V/Zf7ArvxUGmwNuLi4MLhrX8bFjOKayMH4eHg7OkwRkRZn\ns9nYX5TB1qwdbM/dTY2lseFXZ79O3NxrPGO6DyMuJFqvIeIQLZZcWywWFi1aRF5eHmazmfnz5zNp\n0iT78U2bNvFf//VfuLu7M2PGDO65556WCkVamWEYnCitadLp8FheBQ1n1MILDvBi9ICujavS0SH0\n7h6Mt5c7ycnJDB+uEkennNpH/a/MH9iWvROTuRqAmOAoro8ZxdiYESqdJyJO4VQN6i2Z29mWvZOy\nugoAOvmEMDFuLNd2H07P0Bgl1OJwLZZcr1+/nuDgYJYtW0Z5eTnTp0+3J9cWi4WXX36ZtWvX4uPj\nw6xZs5g4cSJhYWEtFY60oJo6C4dyyptU8Kgwme3H3d1c6dU9uHGv9MktHuEhPpoAL6C0tpxvM3/k\nm8zvyassABr3DE5LuJHrY0YRGxLl4AhFRFpHWW0F32b9yL8yfyCn4jjQ2Gr8xp7juC76GvqE99R1\nJdKmtFhyPWXKFCZPngw0vtt0czu9//PIkSNER0cTFNTY/W348OHs2LGDW265paXCkWZisxnkFZnO\naBteRnZBZZMGLZ1DfBg3JLKx22F0CD2jgvBw1/7fi7E0WNiRt5d/ZX7PnoIDGIaBh6s7Y7oPZ3zs\naAZ37Yub9lFLM0lJSWH58uWsXLmyye3/93//x9/+9jfc3NyIj48nKSkJV1dX7rjjDvz9G2v+RkVF\n8fLLLzsibHES1gYrO4/vZfOx79lTsB/DMHB3dWdU1FDGxYxkWMQA3N20s1Xaphb7y/Tz8wPAZDKx\ncOFCHn30Ufsxk8lEQEBAk/uaTKazziGOV1VjbrJPOiO7jOo6q/24p4cbfXt0alLBIzRQ+34vx4n6\nYt7ZtZqtWTvs2z56h8Yyvsdoro0egb+nn4MjlI7m7bffZv369fj4NG2mVFdXxx//+Ec2bNiAj48P\njz/+OJs3b+a6667DMIyzEnGR5pZXWcDXR7ayJWu7vXRez9AYJsSOYWz0CPy9NB9K29eib/vy8/NZ\nsGABs2fPJjEx0X67v78/1dXV9u+rq6ubJNvnk5yc3CJxtmWtOeYGm0FhhYXcYnPjV4mZkkprk/uE\nBrjTs6svUWGeRIV50iXY42QpvDow53PsUD7HrjIOZ/g91zXUs7/qMHsrMyg0lwDg5+bDyOCBDAyM\nJ8wzBCogfV+agyNtOc7we26roqOjeeONN3j66aeb3O7p6cmqVavsSbfVasXLy4u0tDRqa2uZN28e\nVquVxx9/nCFDhjgidOmAzA0Wtufs5qujWzlYdAhoLCd6a/wkbugxhujgSAdHKHJ5Wiy5Li4uZt68\neTz//POMGTOmybGePXuSlZVFeXk5vr6+7Ny5kwceeOCi5xw+fHhLhdsmNV7c13JjLqusszdnScsq\n5VBOOfXmMxu0uDOkdzgJsY17pXt3D27xBi0tPWZHMgyDA0WH+ProNrbn7MJis+Lm4kpvvxjuGDqV\nIRH9naZ8Xkf+PZ9PW3ozMXnyZHJzc8+63dXV1X7ty8qVK6mpqWHs2LFkZGTwwAMPcPfdd5OZmcmD\nDz7IZ599hru7PpaXK1doKubLI9+y6dh3VJ1cpR7YpQ+T4q5jZORgbfuQdqvF/nLffPNNKisrWbFi\nBStWrADg7rvvpra2lnvvvZdnnnmGBx54AMMwmDFjBl26dGmpUITGBi3HjlfYa0qnZZdRWHq6QYuL\nS2ODlj4xocSf3OIR1VkNWppDeV0l3xz7nk1Ht9mbvEQEdGZij7GMjx3FkQOHGR45yMFRijSy2Wws\nW7aMY8eO8cYbb+Di4kKPHj2IiYmx/3dwcDBFRUVERERc8Fxt6Q1Fa9GYL8wwDLJqj5Ncvp/DNdkA\n+Lh6MTJ4IEMC+xDiGQRFkFKU0lLhNgv9nuVCWiy5Xrx4MYsXLz7v8YkTJzJx4sSWenqnZhgGReW1\nTfZKH8mrwGK12e8T4OvJiL5d6BPT2DK8d/cQ/NSgpdnYDBupJ9L56shWduTtocGw4eHmwfUxo5jU\ncyx9wnqpWoq0Sc8//zyenp6sWLHC3nRj7dq1ZGRkkJSUxIkTJzCZTISHh1/0XM746YTGfG71VjNb\nMrez8dAmewWkXqGxTOk9gdHdh7Wrjon6PTuHq3kzoc9cOoA6s5XDp0rhZTcm06WV9fbjrq4uxHUL\nJOGMVemITmrQ0hIq6irZfOx7vj6ylRPVxQDEBEUyqed1jIsZiZ+nr4MjFDnbhg0bqKmpYcCAAaxd\nu5YRI0Zw//33AzB37lzuuusufvvb3zJr1ixcXFx46aWXtCVELklZbQWfH/6GLw9/S5W5GjdXN66L\nGcktvSfQu1MPR4cn0iI0O7YzhmGQX1xtb9CSnl3GseOV2M6ohRca6MWYgREnV6VD6RkVhLenftUt\nxTAMDhYd4ovDW9iet4cGWwOebh5M6DGGm3qOo1dorN7ISJsTFRXFmjVrAJpccJ6Wdu6LaP/whz+0\nSlzSMeRVFrAh7Uu2ZP2I1WYlwNOPO/tNYXKvCYT4BDk6PJEWpYyrjauppJBR0AAAIABJREFUs5Bh\nv+iw8d+qmqYNWuK7Bzd2OoxpvPAwLNhbyVwrqLHUsiVzO18c3kJuZT4AUYER3NjzOsbHjtYqtYg4\nncMlmfzz4GfsyGvcM93VP5xpCTcyPnY0Xu6eDo5OpHUouW5DbDaDnMIq+17p3WkFFH+Qi3Fmg5ZQ\nX4bGn67g0aNboBq0tLLs8jw+P/wvtmT9SL21HjdXN8ZGj+CmntfTN1x7qUXE+RwozODDA5+y70Tj\nJx+9QmO5ve/NXNNtsH3vvoizUHLtQBWmevuqdHpWGRk5ZdSc0aDFw92FAXFhjZ0OT3Y7DFGDFodo\nsDWwIy+Fzw//i/2FGQB08g3hjr6TmRg3lmDvQAdHKCLSugzDILMmj/Wb/mWvTz2wSwJ39J1C/84J\nWmgQp6XkupVYG2xk5lfaa0qnZ5WRX1zd5D6R4f6MHhBCn9hQ+sSEUJR3iJHXjHBQxAJQWW/i6yNb\n+eLIFkpqyoDGOqyTe41neLeBakcuIk5pf2EGq/etJ634CABDIwYwo98txIfFOTgyEcdTct1CSivr\n7DWl07PLOJRTjtlyukGLn48HwxI6kxATQnx048p0gG/T/Wil+XrX7yhZ5blszNjM1qwfsdiseLt7\nMbnXeCb3Hk9U4IVr+4qIdFQZxUdZtW89qYXpAPT07c7/G3sfPUNjHByZSNuh5LoZWKwNHMmraFyV\nzmys4FFUVms/7uoC0V0DT15w2FjBIzLcH1c1aGlTbIaNXcf38UnGJvvWjy7+4dzSewITYsfg6+nj\n4AhFRBwjuzyPVfvWs/P4XgCGdO3HPQMSqcgsUWIt8hOXnVybTCb8/f1bIpZ2wTAMCstqG8vgndwr\nfSSvAmvD6QYtQf6ejOzX1b5Xunf3YHy920+BfGdTZ63nm2Pf82nGZvJNhUDjvsGp8ZMYGtEfVxdd\njCMizqmkpoxV+9azJXM7BgZ9wnoye9B0+oT3AiA5s8TBEYq0PRdNrjdv3szOnTt55JFHuOuuuygt\nLWXhwoXcd999rRGfw9XVWzmUW27vdJiWVUZ51ekGLW6uLsRFBpEQHULCyb3SXUJ9dSFHO1BWW8Gn\nhzbz5ZFvqTbX4OHqzg09ruXW+IlEB0c6OjwREYepsdTy0cHP+SRjE5YGC9FBkcweNJ2hEf31+iZy\nERdNrv/zP/+TV199lY0bNzJo0CCef/555syZ0yGTa8MwyCsyndE2vIzMgqYNWsKCvBk7uBsJ0Y2l\n8OKigvDy0EVt7UlOxXE2pH3Ft9k/0mBrIMDLn7v638rkXtcTpKofIuLEbDYbm45tY9W+9VTWmwj1\nCWbmwNu4PmaUSuqJXKJL2hbSs2dP/uM//oPbbrsNPz8/LBZLS8fVKky1Jxu0ZJaSll1GRlYZptrT\nY/N0d21MomND7aXwwoK177Y9OtVF8eO0L9mdnwpAt4AuTEuYxPUxo/BUcwMRcXL7CzN4d/c/yCrP\nxcvdi3sHJDIt4UY1fxG5TBdNrsPCwnjxxRfZt28fy5Yt45VXXqFbt26tEVuzarAZZBdUnl6Vzi4l\n54SpyX26dvJlRN8uxEeH0Cc2hNiIIDzc9U69PbMZNnbm7eWjg59zuDQTgD5hPbmtz00M6zZQ+6lF\nxOmV1JSxMmUd32XvBGB87GhmDbqdUJ9gB0cm0j5dNLn+wx/+wFdffcX999+Pr68v3bt355e//GVr\nxHZVyqsaG7Scqil9KKeM2vrTpfB8vNwY1CvM3jI8ISaEIH8vB0YszcnaYOXbrB/5OO0LjledAGBE\n5GCm97lZdVhFRACrrYH/S/+KDw98Sr21nl6hscwbdi+9OsU6OjSRdu2iybWfnx/V1dUsX74cq9XK\nqFGj8PX1bY3YLpnFaiMz/1QpvMZV6YKSmib36d7Fn4ToxiS6T2wo3bsE4KZSeB2O2Wrm66PbWJ/+\nJSU1Zbi5uDIhdgy39b1J9alFRE5KKzrM2zv/l5zKfAK8/Pn50HuY0GO0Ps0TaQYXTa5fffVVsrKy\nmDFjBoZhsG7dOnJzc3n22WdbI75zKqmoJe3k9o60zFKO5JZjtp4uhefv48GwPp3tK9Lx0SH4+6gU\nXkdWa6nji8Nb+L/0r6ior8LTzYOpvW9gWp8bCfMNdXR4IiJtgslczXsp/2TT0W0A3NhzHLMH3Y6/\np5+DIxPpOC6aXG/bto2PPvrIfpXwhAkTSExMbPHAzuWVv+0gPauU4oo6+22uLhAbEWSvKd0nNpRu\nYX4qFeQkasy1fHpoM59kbMJkrsbHw5s7+k7h1viJBHoHODo8EZE244ecXbyzazXldZVEB0XyixGz\ntU1OpAVcNLluaGjAarXi6elp/97NzTGl57btPU5wgBej+ne1V/DoFRWMj5caTTqbanMNn2RsYmPG\nJmostfh7+nHvgESm9J6An2fb2rYkIuJI5XWV/HfyB/yYuwcPV3dmDryN2/rcjLurysiKtISLZqWJ\niYnMnTuXW2+9FYBPPvnE/t+t7b+fvYnOIT5alXZiP02qA7z8mT1oOpN7jcfHw9vR4YmItCnfZSfz\nP8kfUGWupk9YTx6+5md0C+zq6LBEOrSLJtcPP/wwffv25YcffsAwDB5++GEmTJjQCqGdrUuoViSd\nVY2llo0Zm/m/9K/sSfXPBt/Bzb3G4+2uKi8iImeqqjfx38mr+D4nGU83D/5t6N1M6T1BFyyKtILz\nJtf79++nf//+7NixA19fXyZOnGg/tmPHDq655ppWCVCcW521ns8OfcP6tC8xmasJ8PRj9qDpTOk1\nHm+tVIuInCWl4AArtv+dsroKEjrF8cio+4kI6OzosEScxnmT6w8++IAlS5bw+uuvn3XMxcWFv//9\n7y0amDg3S4OFr49u48MDn1JRV4mfhw8zB97GLb1v0PYPkWaQkpLC8uXLWblyZZPbN23axH/913/h\n7u7OjBkzuOeee7DZbCQlJZGeno6npydLliwhJibGQZHL+ZgbLLyf8k8+PbQZN1c3Zg+azm0JN6lt\nuUgrO29yvWTJEgCee+454uPjmxzbs2dPy0YlTstm2PjXsR9Yk7qBoppSvNy9uLPfFBITbtKFiiLN\n5O2332b9+vX4+Pg0ud1isfDyyy+zdu1afHx8mDVrFhMnTmTXrl2YzWZWr17Nnj17eOWVV/jzn//s\noOjlXHIr8/nTd/9DVkUekYFd+dWonxMXGu3osESc0nmT6+TkZGw2G4sXL+b3v/89hmEAYLVaSUpK\n4vPPP2+1IKXjMwyD5OP7+GvOPyk+Uoa7qztT4ydyR9/JBHkHOjo8kQ4lOjqaN954g6effrrJ7UeO\nHCE6OpqgoCAAhg8fzo4dO9izZw/jxo0DYMiQIaSmprZ6zHJuhmGw+dh3/HXXGuobzNzYcxz3D7kL\nL3dPR4cm4rTOm1x/9913/PjjjxQWFvKnP/3p9APc3bn33ntbJThxDodKjvFeyjoOFh3GBRcm9BjD\nPf2nEean5i8iLWHy5Mnk5uaedbvJZCIg4HR9eD8/P0wmEyaTCX9/f/vtbm5uWK1W3N0vfE18cnJy\n8wXdTrTmmM02C18UbWN/1WG8XD2Z3nUSCS49SE3Z12oxgH7PzsIZx3ylzjsz/upXvwLgo48+Yvr0\n6a0WkDiPAlMR/5vyET/k7gJgeLeBDHaLZ8rIGx0cmYhz8vf3p7q62v59dXU1AQEBZ91us9kumlhD\n48q3M0lOTm61MedVFvAf294ipyqfXqGxPHbt/yPcr1OrPPeZWnPMbYXG7Byu5s3ERWfHQYMGsWTJ\nEmpqajAMA5vNRm5uLu+///5FT36+C2beffdd/vGP/9/evQdEVeZvAH9mwOE2gEJ4SQQE0SxNBK+J\nQpaXEk1DBW9YUuGa2aptmm0tmj8vm7V2sTbbWotqQ80tNStXwRBS1FFQxFuKJIiIIsIMMMzMeX9/\nWLO6ChjOcIaZ5/MXZ47nzPON6eXL4Zz33QAfn2tXJhcvXozgYK4S5Si0eh025m/DDz//CJNkQqhP\nEKaGPY7ufqH8zZhIRiEhISgsLERFRQXc3d1x4MABJCYmQqFQID09HY8++ihycnJueg6Hmtfecwfx\n3r5PUWvUY2RoNBJ6xcLZiYupEdmKRv9vnDt3Lh566CFoNBqMGzcOGRkZCA0NbfTE9T0wAwB5eXlY\nuXIlevTo0bTU1CIZJRO2//wjNhz9Frq6arT18MXk+8dhYKdwLgxEJKMtW7aguroacXFxWLhwIRIT\nEyGEQGxsLNq1a4dhw4YhKysL8fHxEEJg2bJlckd2SJIk4cu8zfj62A9wcXbBHwc+hQcCHOtqIlFL\n0GhzLUkS5syZA6PRiHvvvRfx8fGIj49v9MT1PTADXJtDe+3atSgrK0N0dDSSkpKalp5ajIPn8/Bp\nzkacryqFeys3TO31OB4JjUYrp1ZyRyNySP7+/li/fj2Aayvx/mbo0KE3rGsAAEqlEkuWLGnWfHQj\nbZ0Ob+35GLkX8tFe7Yc/Rc5EJ++75Y5FRLfQaHPt5uaGuro6BAUF4ejRo+jTpw/0en2jJ67vgRkA\nGDVqFCZPngy1Wo3Zs2cjPT0dDz74YKPndMRbBlp6zZfrKpB2aS/OVBdBAQV6e3VHpG843HVuOJxz\n+JbHtPSam4I1E1F9zleVYuXu91BSdRG9O/TAnAFPcmpSIhvWaHM9ZswYzJw5E6tWrUJcXBx2796N\ndu3aNfkNhRCYPn26+Yn0qKgo5Ofn31Zz7Yg307fUmqsNNfjq6DZsO5cGk5DQs103TA+bgIDWHRs8\nriXX3FSs2THwlwlqiiOlx/Fm1lroDDUYc89wTO75GBeFIbJxjTbXU6dOxdixY6FWq5GSkoIjR44g\nMjKyyW+o1WoRExODbdu2wd3dHdnZ2YiNjW3y+ci2CCGQWbgfn+VuwpXaq/Dz8MX0sPHo27EX76sm\nIvoddp7OxIeaf0GpUGJWvwREdx4odyQiug31Nte1tbX4+uuv4e3tjUceeQQA0L59exw/fhzjx4/H\nt99++7ve6PoHZubOnYuEhASoVCoMHDgQUVFRd1YF2YRfKorx0cFUHCs7hVZOrTCxRwzGdBsGFRcz\nICK6bUIIpOZtxqb87+Gp8sCfImfiHr8ucsciottUb3O9YMECnD9/HlVVVSgvL8fQoUPx5z//Gbm5\nuXjqqadu6+T1PTAzduxYzp1tR2oNtdiYvw3fntgJk5DQt2MvTO89AW1lmHOViKglM5qMeG9/CjIL\n96Gd2g+LhsxGB8+2csciot+h3ub6yJEj2L59O65evYpnnnkGH330ESIjI/H666+b56cmOlB8GB8d\n/BKXq6/Az8MXieFxCL+7p9yxiIhanFpDLVZlrcXh0mPo6huMFyNnwsvVs/EDicim1Ntce3l5wdnZ\nGb6+vrhw4QL+8pe/YPjw4c2ZjWxYeXUFPj6Uin1FOXBSOmFc95F4/N5H4MJbQIiIfrdKvRbLM97F\n6fJCRNzdE3MHPsVb6ohaqHqb6+sfPvP19WVjTQAASUjYeToLnx3ehBpDLbrdFYKkPlPg791B7mhE\nRC3SpepyLN31Ns5XlSI6aCCS+k6Bk9JJ7lhE1ET1NtcGgwElJSWQJAmSJKGkpARCCPP+u+/m5PWO\n5nxVKT7Y/zmOlZ2Ceys3PNNnMoYGD4JSwWmhiIiaolRbhiXpq1FWXY7R3R7G1F6Pc2Ylohau3ua6\nuroaU6dONTfUU6ZMMe9TKBTYuXOn9dORTZAkCVtP7kDqkS0wSEb06xiGGRFx8HFrLXc0IqIWq7jy\nApbsWo0rNVcR33MMHr/3EbkjEZEF1Ntcp6WlNWcOslFFlSV4P/tTnCo/C28XTyRGxGNAp3C5YxER\ntWi/VBTjtV1v4aq+Cglh4xHT7SG5IxGRhTS6iAw5pmtXq3ci9chmGCQjIgP64snwifB0UcsdjYio\nRTt39TyW7FqNSr0WT0XEY3gXrvVAZE/YXNNNLmjL8F72Jzh+6TS8Xb3wdMQk9PMPkzsWEVGLV3S1\nBEvSrzXWz/SZjIdDBssdiYgsjM01mQkhsPNMJj7J+Qp6ox4D/MPxVJ9J8OLVaiKiO3a+8gIW71qN\nq/oqPBURz8aayE412ly/++67N2wrFAq4uroiJCQE0dHR1spFzexqbSX+vv8zaM4fgUcrNyQNmIFB\nAX341DoRkQWU6S7jtV1v42ptJWaEx/FWECI71mhz/csvv6CwsBCjRo0CAGzfvh1qtRoajQb79u3D\niy++aPWQZF2HSvLwXvanuKqvQo+23fBs/+nwdW8jdywiIrtwpeYqlux6C5drrmBqr3EYGRotdyQi\nsqJGm+uCggJ8/vnnUKmurRQVHx+PadOmITU1FWPGjGFz3YIZTAZ8cfgbfHtyJ5yVzpjWKxajug3l\nvNVERBai1euw9Me3Uaotw+P3jsSYe7ggG5G9a7S5rqyshNFoNDfXBoMB1dXVAHDDojLUspRUXcTq\nn/6BgopzuNuzHZ4fmIjObTrJHYuIyG7UGeuwcvd7OHf1PEaGRiOuxxi5IxFRM2i0uZ4yZQpiY2MR\nHR0NSZKQkZGBqVOnYt26dejatWtzZCQLyyzcj7UHPketUY+hnR/AE+ET4ersIncsImoGkiQhOTkZ\nJ06cgEqlwtKlSxEYGAgAKCsrw7x588z/9tixY5g/fz4mTZqEcePGQa2+9nCzv78/li9fLkv+lsIk\nmbB678c4cfkMBgX0wRO9J/AZFiIH0WhznZCQgP79+2PPnj1wcnLC22+/jdDQUJw9exaTJ09ujoxk\nIXXGOqw7tAE7zmTC1dkFcwbMQGRgX7ljEVEz2rFjB+rq6pCamoqcnBysWLEC77//PgDAz88PKSkp\nAIBDhw7hb3/7GyZOnAi9Xg8hhHkfNUwIgY8OpuJAcS56tO2GWf0SeLsdkQNptLkWQkCj0UCj0cBk\nMkGSJISEhCAoKKgZ4pGllGrL8EbWWpytKEJga3/MfeAp3O3ZTu5YRNTMNBoNBg++NgVcWFgY8vLy\nbvo3Qgi89tprWLVqFZycnJCXl4eamhrMmDEDRqMR8+bNQ1gY576vz9fHfsCO07sR2NofL0QmoZVT\nK7kjEVEzarS5/utf/4rCwkLExsZCCIFNmzahqKgIL7/8cnPkIws4UHwY72avQ7WhBg8FR+LJ8IlQ\ncbAnckhardZ8ewcAODk5wWg0wtn5vz8O0tLSEBoaiuDgYACAq6srEhMTMWHCBJw9exZPP/00vv/+\n+xuOoWv2njuIfx35Br7ubfDSkGfh3spN7khE1MwaHRmzsrLw9ddfQ6m89iet6OhojB492urB6M5J\nQsL6vK3YlP8dWjm1wqx+CYjuPFDuWEQkI7VaDZ1OZ96WJOmmJnnz5s1ISEgwb3fu3BmBgYFQKBTo\n3LkzWrdujbKyMnTo0KHB99JoNJYNb+NKasvwxZ6tU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RFZyP8DBXnsoY/LxTYA\nAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "0.005 is the labor force growth rate\n", "0.01 is the efficiency of labor growth rate\n", "0.03 is the depreciation rate\n", "0.24 is the savings rate\n", "0.5 is the decreasing-returns-to-scale parameter\n" ] } ], "source": [ "# convergence to the balanced growth path—log graphs\n", "#\n", "# we need to alter our dataframe in order to add a BGP line\n", "#\n", "# # we are going to want to see what happens for lots of\n", "# different model parameter values and initial conditions,\n", "# so stuff our small simulation program inside a function, so \n", "# we can then invoke it with a single line...\n", "\n", "def log_sgm_bgp_100yr_run(L0, E0, K0, n=0.01, g=0.02, s=0.15, alpha=0.5, delta=0.03, T=100):\n", "\n", " sg_df = pd.DataFrame(index=range(T),columns=['Labor', \n", " 'Efficiency',\n", " 'Capital',\n", " 'Output',\n", " 'Output_per_Worker',\n", " 'Capital_Output_Ratio',\n", " 'BGP_Output',\n", " 'BGP_Output_per_Worker',\n", " 'BGP_Capital_Output_Ratio',\n", " 'BGP_Capital'],\n", " dtype='float')\n", "\n", " sg_df.Labor[0] = L0\n", " sg_df.Efficiency[0] = E0\n", " sg_df.Capital[0] = K0\n", " sg_df.Output[0] = (sg_df.Capital[0]**alpha * (sg_df.Labor[0] * sg_df.Efficiency[0])**(1-alpha))\n", " sg_df.Output_per_Worker[0] = sg_df.Output[0]/sg_df.Labor[0]\n", " sg_df.Capital_Output_Ratio[0] = sg_df.Capital[0]/sg_df.Output[0]\n", " sg_df.BGP_Capital_Output_Ratio[0] = (s / (n + g + delta))\n", " sg_df.BGP_Output_per_Worker[0] = sg_df.Efficiency[0] * sg_df.BGP_Capital_Output_Ratio[0]*(alpha/(1 - alpha))\n", " sg_df.BGP_Output[0] = sg_df.BGP_Output_per_Worker[0] * sg_df.Labor[0]\n", " sg_df.BGP_Capital[0] = (s / (n + g + delta))**(1/(1-alpha)) * sg_df.Efficiency[0] * sg_df.Labor[0]\n", "\n", " for i in range(T):\n", " sg_df.Labor[i+1] = sg_df.Labor[i] + sg_df.Labor[i] * n\n", " sg_df.Efficiency[i+1] = sg_df.Efficiency[i] + sg_df.Efficiency[i] * g\n", " sg_df.Capital[i+1] = sg_df.Capital[i] - sg_df.Capital[i] * delta + sg_df.Output[i] * s \n", " sg_df.Output[i+1] = (sg_df.Capital[i+1]**alpha * (sg_df.Labor[i+1] * sg_df.Efficiency[i+1])**(1-alpha))\n", " sg_df.Output_per_Worker[i+1] = sg_df.Output[i+1]/sg_df.Labor[i+1]\n", " sg_df.Capital_Output_Ratio[i+1] = sg_df.Capital[i+1]/sg_df.Output[i+1]\n", " sg_df.BGP_Capital_Output_Ratio[i+1] = (s / (n + g + delta))\n", " sg_df.BGP_Output_per_Worker[i+1] = sg_df.Efficiency[i+1] * sg_df.BGP_Capital_Output_Ratio[i+1]**(alpha/(1 - alpha))\n", " sg_df.BGP_Output[i+1] = sg_df.BGP_Output_per_Worker[i+1] * sg_df.Labor[i+1]\n", " sg_df.BGP_Capital[i+1] = (s / (n + g + delta))**(1/(1-alpha)) * sg_df.Efficiency[i+1] * sg_df.Labor[i+1]\n", "\n", " \n", " fig = plt.figure(figsize=(12, 12))\n", "\n", " ax1 = plt.subplot(3,2,1)\n", " np.log(sg_df.Labor).plot(ax = ax1, title = \"Labor Force\")\n", " plt.ylabel(\"Log Values\")\n", " plt.ylim(0, )\n", "\n", " ax2 = plt.subplot(3,2,2)\n", " np.log(sg_df.Efficiency).plot(ax = ax2, title = \"Efficiency of Labor\")\n", " plt.ylim(0, )\n", " \n", " ax3 = plt.subplot(3,2,3)\n", " np.log(sg_df.BGP_Capital).plot(ax = ax3, title = \"BGP Capital Stock\")\n", " np.log(sg_df.Capital).plot(ax = ax3, title = \"Capital Stock\")\n", " plt.ylabel(\"Log Values\")\n", " plt.ylim(0, )\n", "\n", " ax4 = plt.subplot(3,2,4)\n", " np.log(sg_df.BGP_Output).plot(ax = ax4, title = \"BGP Output\")\n", " np.log(sg_df.Output).plot(ax = ax4, title = \"Output\")\n", " plt.ylim(0, )\n", "\n", " ax5 = plt.subplot(3,2,5)\n", " np.log(sg_df.BGP_Output_per_Worker).plot(ax = ax5, title = \"BGP Output per Worker\")\n", " np.log(sg_df.Output_per_Worker).plot(ax = ax5, title = \"Output per Worker\")\n", " plt.xlabel(\"Years\")\n", " plt.ylabel(\"Log Ratios\")\n", " plt.ylim(0, )\n", "\n", " ax6 = plt.subplot(3,2,6)\n", " np.log(sg_df.BGP_Capital_Output_Ratio).plot(ax = ax6, title = \"BGP Capital-Output Ratio\")\n", " np.log(sg_df.Capital_Output_Ratio).plot(ax = ax6, title = \"Capital-Output Ratio\")\n", " plt.xlabel(\"Years\")\n", " plt.ylim(0, )\n", "\n", " plt.suptitle('Solow Growth Model: Simulation Run: Log Scale', size = 20)\n", "\n", " plt.show()\n", " \n", " print(n, \"is the labor force growth rate\")\n", " print(g, \"is the efficiency of labor growth rate\")\n", " print(delta, \"is the depreciation rate\")\n", " print(s, \"is the savings rate\")\n", " print(alpha, \"is the decreasing-returns-to-scale parameter\")\n", " \n", "log_sgm_bgp_100yr_run(1000, 1, 100, n=0.005, g=0.01, s=0.24, \n", " alpha=0.5, delta=0.03)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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yZAmWLVsGV1dXhIWFYcOGDdi+fTtSUlIwadIk7N69W61X2NDQEOvXr8f48eOh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\nrF27FmPHju2tKhARERER9aleC9eFhYWYP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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "0.005 is the labor force growth rate\n", "0.01 is the efficiency of labor growth rate\n", "0.03 is the depreciation rate\n", "0.24 is the savings rate\n", "0.5 is the decreasing-returns-to-scale parameter\n" ] } ], "source": [ "log_sgm_bgp_100yr_run(1000, 1, 50000, n=0.005, g=0.01, s=0.24, \n", " alpha=0.5, delta=0.03)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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3d4SFhWHjxo3YsWMH0tLSMHnyZOzZs0dpVFhfXx8bNmzAhAkTIJPJ8NdffyE4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\nfXtmzJhBfn4+hmHgc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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "0.01 is the labor force growth rate\n", "0.01 is the efficiency of labor growth rate\n", "0.03 is the depreciation rate\n", "0.2 is the savings rate\n", "0.5 is the decreasing-returns-to-scale parameter\n" ] } ], "source": [ "# suppose we started the economy on some balanced growth path, say\n", "# for s = 0.20. And then s jumped to 0.25. What would happen?\n", "#\n", "# n=0.01, g=0.01, delta=0.03, s=0.20, alpha=0.5...\n", "# SS K/Y = 4...\n", "# Y/L = 4 x E\n", "# K/L = 16 x E\n", "#\n", "# start the economy on its balanced growth path...\n", "\n", "log_sgm_bgp_100yr_run(1000, 1, 16000, n=0.01, g=0.01, s=0.20, \n", " alpha=0.5, delta=0.03)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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rr5vWFxcXx4IFC7C1tWX+/Pm8++67FtsTJSIPrqFDh2Jt/efoWjc3N7755hvm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UFLeka3wktvdHWoQgjh8Y5l5/LNri2k5eyhQP/zDeZ+btDv9Y3i4SbtiQ0Jk+VxhbhD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\nIiLip1TWRURERET8lMq6iIiIiIifUlkXEREREfFTKusiIiIiI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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "0.01 is the labor force growth rate\n", "0.01 is the efficiency of labor growth rate\n", "0.03 is the depreciation rate\n", "0.2 is the savings rate\n", "0.5 is the decreasing-returns-to-scale parameter\n" ] } ], "source": [ "# yup...\n", "# we can look at it in levels too:\n", "\n", "sgm_bgp_100yr_run(1000, 1, 16000, n=0.01, g=0.01, \n", " s=0.20, alpha=0.5, delta=0.03)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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3d4SFhWHjxo3YsWMH0tLSMHnyZOzZs0dpVFhfXx8bNmzAhAkTIJPJ8NdffyE4\nOBienp7w9/d/54UwnJycsHPnTnh5eSE0NBRbtmzBmzdvMGbMGOzYsSPXyETDhg3F6Z8UBTWQ9Yav\nWF7Yy3G7u7vj8OHD+Pbbb1G1alXxgivnzp1D3bp18dVXXyEoKAjjxo0Tv2bOT1GOiSLGoshbKyj6\nqOoDg5eXFzp16oTo6Ghs3bpVbdO3qaK4GAyAPE9kzK59+/bYunUrWrZsibNnz4ozF0yZMgUbNmxQ\nGtVs3Lgx/vrrL7Rs2RKnTp3CwYMH0apVK5VXhbOwsMD27dvxv//9D0+fPhVnVGndujW2b9+u9JxQ\nJTAwEMuXL1d5xb6cbG1tceTIEUycOBGWlpY4fvy4eJGUBg0aYO3atXnOmKJOVatWxcaNG+Hq6ooz\nZ85gx44dsLW1xdatW99Z1FlZWWH9+vVwcXFBcHAwtm7dioiICAwaNAiHDx+Gubk5zp49K349X9Dn\nVGFft+/DgAEDYG9vj+fPn4ujvMU5du+yceNGLF++XGU+WpWEhARcvnxZ5b/sEahp06bhl19+Qc2a\nNREQEIDDhw+jTp06WLZsGb766iulfX722WeYN28eKleujF27duH8+fMYMmQIxo4dCyDvE2mzGzZs\nGHbt2gVfX188e/YM27dvx8aNG/HgwQP07dsXhw4dyjVzz7hx47B48WLUqFED+/btQ0BAABwcHLB5\n82bx5PBWrVph8eLFqF27NgICArBnzx6kpaVhxowZ+P333wEg1zcf2RkYGGDjxo34/PPPkZaWhq1b\nt+L06dNwcnLCxo0bxQvsEBWXllDSpyoTERFRqff69WtkZmaqnC1k6dKlWLFiBXbs2KFyqj4ieosj\n10RERIRLly6hZcuWuaaqe/XqFfbs2YNKlSoV+1LwRBUBM9dEREQEd3d31KxZEytWrEBYWBikUini\n4uIQGBiI169fw8/P772eVEpUVjEWQkRERACyZtX5/fffcerUKTx58gRGRkZo1KgRhg8fDldXV003\nj6hMYHFNRERERKQmzFwTEREREakJi2siIiIiIjVhcU1EREREpCYsromIiIiI1ITFNRERERGRmrC4\nJiIiIiJSExbXRERERERqwuKaiIiIiEhNWFwTEREREakJi2siIiIiIjVhcU1EREREpCYsromIiIiI\n1ITFNRERERGRmrC4JiIiIiJSExbXRERERERqwuKaiIiIiEhNWFwTEREREakJi2siIiIiIjVhcU1E\nREREpCZcUDKzAAAgAElEQVQsromIiIiI1ITFNRERERGRmrC4JiIiIiJSExbXRERERERqwuKaiIiI\niEhNWFwTEREREakJi2siIiIiIjVhcU1EREREpCYsromIiIiI1ITFNRERERGRmrC4JiIiIiJSExbX\nRERERERqwuKaiIiIiEhNWFwTEREREakJi2siIiIiIjVhcU1EREREpCYsromIiIiI1ITFNRERERGR\nmrC4JiIiIiJSExbXRERERERqwuKaiIiIiEhNWFwTEREREakJi2siIiIiIjVhcU1EREREpCYsromI\niIiI1ITFNRERERGRmrC4JiIiIiJSExbXRERERERqwuKaiIiIiEhNWFwTEREREakJi2siIiIiIjVh\ncU1EREREpCYsromIiIiI1ITFNRERERGRmrC4plIhJiYGTZo0KfR2dnZ2ePXqlVrb8fHHH6N79+5K\n/3799Ve1PQYRkabZ2dmha9euud7rYmJiAAAzZ85E69atsXjxYpw7dw6enp7w9fXF1q1bsWbNmnz3\nPXLkSNy/f/99dKNQsvcjNTVV6b6i/C1p3bo1wsLC1NlEKid0Nd0AotLGwMAA+/bt03QziIhK1J9/\n/gkLCwuV9/n7++PUqVOoXr06pk+fjl69emHs2LEF2u/atWvV2Uy1OXjwYKH6QVRULK6p1IuIiMDs\n2bORnJyMZ8+eoX79+liyZAn09fUBAEuWLEFYWBjkcjkmTpwIT09PAMCKFStw8OBB6OjooE6dOvj+\n++9haWmJQYMGoVKlSnj48CH69euHQYMGFbgtgYGBWL58OTIzM2FiYoLp06fDwcEBy5Ytw7Vr1/Ds\n2TPY2dnBz88Pv/zyC06dOgUdHR00adIEM2fOhEQiwcqVK3Hs2DHI5XLUrFkTM2fOhJWVVYkcOyKi\nwurfvz8EQcDIkSPRsWNHnDhxAvr6+khISICRkRFev36NGTNmICIiAjNmzMCrV6+gra2NMWPGwMvL\nC61bt8avv/4Ke3t7nDx5EitXroRMJoOBgQGmTp2KJk2aYNmyZYiNjcXz588RGxsLCwsLLF68GFZW\nVir3a2VlhUmTJiEoKAja2tpISUlB69atceDAAVSpUkVsu0wmg5+fHy5evAgdHR04ODhg+vTp2LZt\nm1I/pk6dWqBj8eLFC8yYMQMvX77E8+fPUbNmTSxZskR8zK1bt+L27dtIT0/HsGHD0LNnTwBZH042\nbdoEbW1tVK1aFd9//z3q1KmDadOm4c2bN4iOjkarVq3w9ddfq/8XSBrH4ppKve3bt6NHjx7o3r07\nZDIZfHx8cOrUKXTo0AEAYG1tjdmzZ+Pu3bsYNGgQDh8+jKCgIJw9exY7d+6EkZERli1bhmnTpuGP\nP/4AAJiZmeHQoUMqHy81NRXdu3cXb+vo6GD37t148OABZs6ciW3btqFWrVq4ePEixo4diyNHjgAA\nYmNjceDAAejq6mLjxo24desW9u3bB4lEgkmTJomPd/fuXezYsQO6urrw9/fHd999V2pHeoio/Boy\nZAi0td+mQ62trbFixQps3boVdnZ24sh2dHQ06tWrh+HDh2PZsmXi+pMmTULPnj0xYMAAPH78GIMG\nDcKnn34q3h8ZGYnFixdj48aNqFy5Mu7du4dhw4bh2LFjAICrV69i7969MDExwejRo+Hv748JEyao\n3O/evXthbm6Os2fPwsPDAwcPHoSrq6tSYQ0AK1euxLNnz7Bv3z7o6Ojg22+/xfz58zF79mzcv39f\n7EdBHTx4EI6Ojvjss88gCAI+++wz7Nu3D//73/8AAPr6+tizZw+ePn2KHj16oHHjxnjx4gV+//13\n+Pv7w8LCArt378a4ceNw8OBBAFl/YxQ/U/nE4ppKva+//hrnz5/H2rVrERkZiWfPniE5OVm8v1+/\nfgAAqVQKW1tbhIaG4syZM/Dx8YGRkREAYPDgwVi1ahXS09MBAE2bNs3z8fKKhQQHB8PFxQW1atUC\nALi6usLCwgI3b94EADg6OkJXN+sldeHCBXTv3h0GBgYAskbXAeCLL75AWFgYfH19AQByuRwpKSlF\nPzhEREWUXyzkXd68eYPbt2+jV69eAIAaNWogMDBQaZ3z58/j2bNnGDp0qLhMS0sLjx49AgA0b94c\nJiYmAIAGDRogLi4u3/0OGDAA27dvh4eHB/z9/TFlypRc7Tpz5gy+/PJL6OnpAQAGDRqEcePGFamP\nQNYHkKtXr2L9+vWIjIzEvXv30LhxY/H+vn37AgCsrKzg5uaGixcv4smTJ/Dy8hKPrY+PD+bOnSvm\n2Z2dnYvcHiobWFxTqTdp0iRkZmaiU6dOaNWqFR4/fgxBEMT7s4+8CIIAXV1dpfuBrCI2IyNDvK0o\nugsj5z4VyxT7zb5PRZGt8OLFC8jlcsjlcowYMQL9+/cHAKSnpyMuLq7QbSEi0iTFe5yWlpa47OHD\nh/jggw/E23K5HK6uruLgAgA8fvwY1apVw/Hjx8XBB8V+FO/fee23a9euWLRoEYKDg5GcnIxmzZrl\napdcLs91WyaTFbmfv/zyC27cuAFfX1+0aNECGRkZhf77o7hP1d8KKp84WwiVeufOncO4cePg5eUF\nLS0tXL9+HZmZmeL9e/bsAQDcunULUVFRaNy4Mdzc3LB7925xhHvTpk1o1qwZJBJJkdvh4uKC8+fP\nIzo6GgBw8eJFPH78WGkUQ8HV1RUHDhxAeno65HI5Zs2ahYMHD8LNzQ07d+5EYmIiAODXX39VOfpC\nRFSamZiYoGHDhti7dy+ArKK5X79+SEhIENdRvGc+ePAAAHD69Gl069YNaWlpRdqvoaEhunXrhm++\n+UYcMc7J3d0d27Ztg0wmg1wux5YtW9CyZcsi9/PcuXMYMmQIevTogSpVquDChQsq//78+++/uHDh\nAlxdXeHm5oZDhw6Js4/s2rUL5ubmsLGxKXI7qGzhyDWVGsnJybmm49u2bRu+/PJLjBs3DpUqVYKh\noSGaNWsmfq0IANHR0ejRowe0tLSwaNEimJubo2fPnnj8+DF69eoFuVwOGxsbLFiwoFjtq1u3LmbO\nnInx48cjMzMTBgYGWLVqFUxNTXOt27dvX8TGxsLHxweCIKB58+YYNGgQtLW18fTpU/Tu3RtaWlqo\nUaMG/Pz8itUuIqKiyJm5BrK+KfTw8CjQ9gsXLsQPP/yATZs2QUtLC3PnzoWlpaV4f7169TB79mxM\nmjRJHNVduXLlO0du89uvj4+PeB6OKmPGjMHPP/+MHj16ICMjAw4ODvj+++8L1J82bdoo3V60aBHG\njRuH+fPn47fffoOOjg6cnJyU/v6kpaXB29sbMpkM3333HerUqYM6depg6NChGDJkCORyOSwsLLB6\n9epcx5rKLy1B1fcXRERERKWIIAhYu3YtYmNj8cMPP2i6OUR54sg1ERERlXpt2rSBhYUFVq5cqemm\nEOWLI9dERERERGrCABARERERkZqwuCYiIiIiUpMyk7kOCQnRdBOIiIqlIl08gu/ZRFTWFfU9u8wU\n10DF+sMEZP1xYp/LP/a5bMjMlCMhWYa4pDTEJ6Vn+5ftdqLy7dT0t/PhzupvrcHWa0ZZ+x0XV1l8\nXhcX+1wxVNQ+F1WZKq6JiNRBEAQkpWaoKIxzFMvZbiemyFCQ07/1JTowM5bgA0sTVDKWwMxYHxaV\nDACklni/iIhI81hcE1GZlybLFEeN4/IcUX57f0JSOjLl766UtbW1YGYsQWUzA9jUMEMlY32YGUtg\naiz5r3DOKp7NTBQ/S2AgUf22ypgEEVHFwOKaiEqVzEw54pPTlUePE98WynGK6EW2ddKyxS/yY2yo\nh0rGElS3MPqvQNYXi+JKJlmFsqnRfz+b6MPYQBdaWlol3GMiIipPWFwTUYkRBAFJKbJcMYtbdxJw\n499bKnPLiSmyAu1bX6IDUyMJrKuZoFL2olgcWX5bOJuZSGBqJIGuDidIepfr169jwYIF2LRpk9Ly\nkydPYsWKFdDV1YWvry969+6toRYSEZVuLK6JqMBS0zPyzCfHqcwrp0OeZ/wiTvxJR1sLpsYSVKlk\ngDofVBILYrNs0QtFDMP0HfELKrq1a9di//79MDQ0VFouk8nw008/YefOnTA0NES/fv3QunVrVK1a\nVUMtJSIqvfjXiaiCysiUIyFHIawojuOyz3yR/DaOkS4rWPzC1EgPpkYS1KhinFUQZx9VNpLg+ZNo\nODk2gJkR4xelSe3atbFs2TJMmTJFafmDBw9Qu3ZtVKpUCUDWLCBXrlxBp06dNNFMIqJSjcU1UTkg\nlwtISpXlmg5O5cl9/2WYk1IzCrRvfYkOKhlLUNvKBGYm/0UtjBQjy1m3lUaVjSTQeUf8IiTkBerb\nWKij66RGHTp0QExMTK7liYmJMDU1FW8bGxsjMTHxfTaNiOi9efoquVjbs7gmKmUEQUBaemauEeU4\nVSPMiVkzX8Qn5xe/eEvnv9kvLCsb4SOjbNGL/36uZKyfbSaMrFkw9PV03kOvqTQzMTFBUlKSeDsp\nKUmp2M5LRZwhhX2uGNjn8ik5LRMnrscj5H5Ssa5NwOKaqIQp4hc5M8mKWS8io19i79ULSqPK6Rny\nAu3bxFAPlUwkqFHVOFs++b+MsoqT+4wYv6AisLW1RVRUFN68eQMjIyNcvXoVw4cPf+d2FfGiE+xz\n+cc+lz+ZcgHHL0Vh4+F/kJAsQ+3q7x48yA+La6JCyBm/UHW1PnE0+b/bBYtfpMBAogMzE33UrmGW\nz2iyYto4fZgY6r0zfkFUHAEBAUhOTkafPn0wbdo0DB8+HIIgwNfXF1ZWVppuHhFRsd199Bqrdt/A\nveg3MNTXxfBujdDFrQ6uXwst8j5ZXFOFlT1+kbNIjkvMPetFfFIaEpLSUYD0BXR1tGBqlBW/sFW6\n6Ih+tjmVs07ui4q4g5YuTRm/oFLB2toa27dvBwB07dpVXN66dWu0bt1aU80iIlKr+KR0bDz0D45d\nioIgAB5NrDGsawNUqWT47o3fgcU1lRuyDDkSkvMojHMty7pdkPiFlhZgYiiBmbEePqhqojR6nH0m\njEomb+daNtQvePzizVNdFtZERETvgVwu4NilKGw89DYCMtrbAfZ11Te1KItrKpXkcgGJKTKV8yYr\nF89vf04u4OwXhvo6MDXOil9UUpVRNnpbOJsZS2BiJIGONnPKREREZZlyBEQH/+vaEF3dP1L7BcZY\nXFOJEwQBKWkZKmIWuaeIe/oiDrL9hwsVvzAz1ke1ykYqR5OzF8uV/rtKn4SjxERERBVGfFI6Nh0O\nx9HgSAgC8GmTmvhf14ZqiYCowuKaCk2WkXOaOFWxC+Ucs6yA8QsDiTaqVDJATUuTXCPIlbLNq6z4\nV5j4BREREVUccrmA45ej8OfBrAhILStTjPFRbwREFRbXFZwifpE7p6z6dlxiOlLSCh6/MDPWx4f/\nzX6halQ5e7FsYiTBtdC/y/V0P0RERFTyckZAhndriC5u6o+AqMLiuhxRHb/IP7OcmFzQ+IU2zIwl\nqF7F6G1G2TjHPMomEqVRZT1dxi+IiIjo/SnJWUAKisV1KZaRKeBlXEq2S1qrnlc5++2Cxi9MjbIK\n4FpWpipGkxm/ICIiorJDUxEQVTRWXO/evRt79uwBAKSlpSE8PBznz5+HmZmZpppUojLlAhKTCz6i\nHJ+kiF/EvnPfRga6MDOW4MMaZkoZ5exFcvaT+zj7BREREZUXOSMgw7o0RLdP308ERBWNFdc+Pj7w\n8fEBAPzwww/w9fUtM4V1zviFqnmVcy5LTEmHUID4hZ6uNioZS1CjijEgT4V1jarZrtanr3TlPkXx\nrKfLq/QRERFRxfK+ZwEpKI3HQsLCwnD//n3MnDlTY21QzH4Rl1iwEeX4pHRkZL47fqGtBZgaS2Bu\nKkHt6qY5RpSVoxeKEWcDiY4YvwgJCeHJfURERETZZEVAHv0XAUnXaAREFY0X16tXr8a4ceMKtG5I\nSMg715HLBaSky5GcJkdSWtb/yWmZWf+nKm5nW5YmR3pGAYaUAejracFIXxtW5row0teGsYE2jPS1\nYSjRhrGBTrafs5YbSLShnSunnAkg5b9/AJKBhGQg4XnR+1zesM8VQ0XsMxERFc/96DdYufs67j4q\nHREQVTRaXMfHxyMiIgIuLi4FWl9uWPOdV+tLTJEVOH5hZiyBdaX/ZrkQoxb6MDPSg1m2i44oLmv9\nvuMXFXHkmn2uGCpqn4mIqGgSktOx6VA4jigiII418b9umo+AqKLR4vrKlStwdXUt8Pqz/7ikcrm2\nFmBmrA9zU33Urm6mVBSrmle5krEE+tniF0RERERU+igiIBsP/YP4pHTUsjLBaB8HONS11HTT8qTR\n4joiIgLW1tYFXn9I5waolGNeZVMjCUwM9aDN2S+IiIiIyo370W+wavcN3Hn0GgaSrAhIV/ePSv1E\nDhotrkeMGFGo9Xu2rldCLSEiIiKi0qAsRUBU0fgJjUREREREZTECogqLayIiIiLSqOwRkNI6C0hB\nsbgmIiIiIo1ISM66EMyRi1kREHfHmhhehiIgqrC4JiIiIqL3Si4XEHgl60Iw8UnpsK5mgtHeDmgs\nLVsREFVYXBMRERHRe3M/5g1W7co+C0gDdHW3LfWzgBQUi2siIiIiKnGqIiD/69oQVc3LbgREFRbX\nRERERFRiynMERBUW10RERERUIsp7BEQVFtdEREREpFaJ/0VADl/MioC4Nf4Aw7s1KncREFVYXBMR\nERGRWsjlAk5ceYQNFSQCogqLayIiIiIqtvsx/10IJqriREBUYXFNREREREWWmJyOzUdu4/CFCMgr\nWAREFRbXRERERFRocrmAk1ezIiBxiRUzAqIKi2siIiIiKpQHMW+wMlsEZGjnBuj2acWLgKjC4pqI\niCCXyzFr1izcuXMHEokEc+bMgY2NjXj//v37sX79emhra8PX1xf9+/fXYGuJSFMSs10IhhEQ1Vhc\nExERAgMDkZ6eDn9/f1y7dg1+fn5YuXKleP/8+fNx4MABGBkZoXPnzujcuTMqVaqkwRYT0fuUcxaQ\nmpYmGO1jD0dpNU03rdTRaHG9evVqnDx5EjKZDP369UOvXr002RwiogorJCQE7u7uAABHR0fcvHlT\n6X47OzskJCRAV1cXgiBAS0tLE80kIg3491U6/lp+lhGQAtJYcX3p0iWEhobir7/+QkpKCtatW6ep\nphARVXiJiYkwMTERb+vo6CAjIwO6ull/JurVqwdfX18YGhqiXbt2MDMze+c+Q0JCSqy9pRX7XDFU\nlD6npMtx8nocrt5PgiAADWsbor1TJVQyiseN66Gabl6ppbHi+ty5c5BKpRg3bhwSExMxZcoUTTWF\niKjCMzExQVJSknhbLpeLhfXt27dx6tQpnDhxAkZGRvj6669x+PBhdOrUKd99Ojs7l2ibS5uQkBD2\nuQKoCH0WZwE5kjULSBUzXUzs16xCRUCK8wFKY8X169ev8e+//2LVqlWIiYnBmDFjcOTIEX7VSESk\nAU5OTggKCoKXlxeuXbsGqVQq3mdqagoDAwPo6+tDR0cHFhYWiI+P12BriaikPPjvQjC3o15DX6KD\nIZ0boJZJXIUqrItLY8W1ubk5PvroI0gkEnz00UfQ19fHq1evUKVKlTy3qShfw2THPlcM7DNpWrt2\n7XD+/Hn07dsXgiBg3rx5CAgIQHJyMvr06YM+ffqgf//+0NPTQ+3ateHt7a3pJhORGiWmyLDlcDgO\n/XchmJYOWbOAWFY25Pt1IWmsuHZ2dsbGjRsxbNgwPHv2DCkpKTA3N3/nNhVJRfjqKSf2uWKoqH0u\nzbS1tTF79mylZba2tuLP/fr1Q79+/d53s4iohGVFQKLx58F/8CYxDTUtTTDK2x5N7DhSXVQaK649\nPT1x5coV9OzZE4IgYMaMGdDR0dFUc4iIiIgqlIexcVi1+wbCI19BX6KDwV4fo4dHXc4CUkwanYqP\nJzESERERvV+JyenYfOQ2DisiII0/wPCuWREQKj5eRIaIiIioAlBEQDYcvIW4xHRGQEoIi2siIiKi\nci5nBGRI5wbozgvBlAgW10RERETlVH6zgFDJYHFNREREVM7kjoAYY5S3AyMg7wGLayIiIqJyJOLf\nOKzclXMWEFvo6XJWtveBxTURERFROZCYIsOWI+E4dD4rAuJqXwMjujdCtcpGmm5ahcLimoiIiKgM\nk8sFBIVEY8MBxYVgjPGZtwOcGAHRCBbXRERERGWU6gvBMAKiSSyuiYiIiMqYnBGQTxxqYHg3RkBK\nAxbXRERERGWEIGRFQNYHMAJSWrG4JiIiIioDOAtI2cDimoiIiKgUS0yRYevR2zh47iEjIGUAi2si\nIiKiUihnBOSDqlkXgnGqzwhIacbimoiIiKiUifg3axaQfyJeQaKng0GdPoZ3K0ZAygIW10RERESl\nRM4IiKt9DYzo1gjVLBgBKStYXBMRERFpmBgBOfAP3iQwAlKWabS49vb2homJCQDA2toaP/30kyab\nQ0RERPTeMQJSvmisuE5LS4MgCNi0aZOmmkBERESkMUkpMmxhBKTcUVtx/ezZM1SrVg1Xr17FnTt3\n4O3tDSOjvJ8ct2/fRkpKCv73v/8hIyMDkyZNgqOjo7qaQ0RERFQqZUVAYrD+wC1GQMohtRTXM2fO\nhLa2NgYMGIDJkyejZcuWCA4OxrJly/LcxsDAAMOHD0evXr0QGRmJkSNH4siRI9DVZQyciIiIyidG\nQMo/tVSyYWFh2LVrF5YvX46ePXvi888/h6+vb77b1KlTBzY2NtDS0kKdOnVgbm6O58+fo0aNGnlu\nExISoo7mlinsc8XAPhMRlW9JKTJsPXYbB85FQC4XGAEpx9RSXGdmZkIul+PEiRP44YcfkJKSgpSU\nlHy32blzJ+7evYtZs2bh6dOnSExMhKWlZb7bODs7q6O5ZUZISAj7XAGwzxUDP0wQVUw5IyA1qhpj\nlLc9nOtbabppVELUUlz36NEDbm5ucHJyQuPGjdGpUyf07ds332169uyJ6dOno1+/ftDS0sK8efMY\nCSEiIqJyI2cEZGDH+vDxrMsISDmnlmp22LBhGDx4MHR0sp4sW7ZsgYWFRb7bSCQSLFy4UB0PT0RE\nRFRqJP13IZgD5xkBqYi01bGT2NhYjBgxAu3bt8ezZ88wceJExMTEqGPXRERERGWC4kIwo38+gf1n\nH8LKwggzR7jgm6HNWVhXIGoprmfMmIHhw4fDyMgIlpaW6NKlC6ZOnaqOXRMRERGVepGP4zH9t/NY\ntPVvJKdmYGCn+lj+lSeafsxsdUWjluL69evXcHNzAwBoaWmhd+/eSExMVMeuiYiIiEqtpBQZ1u4L\nwxeLTuHWw5dwta+BlVNao09bO0j0mK2uiNSSuTYwMMCTJ0+gpaUFALh69SokEok6dk1ERO+BXC7H\nrFmzcOfOHUgkEsyZMwc2Njbi/Tdu3ICfnx8EQYClpSV++eUX6Ovra7DFRJolCAJO/R2D9QG38Doh\nDTWqGOMzb3uOVJN6iutp06Zh1KhRePToEbp37464uDgsWbJEHbsmIqL3IDAwEOnp6fD398e1a9fg\n5+eHlStXAsgqIr7//nssXboUNjY22LFjB2JjY/HRRx9puNVEmhH5OB6rdt/ArYcvxVlAvFvV5Ug1\nAVBTce3g4ICdO3ciMjISmZmZ+OijjzhyTURUhoSEhMDd3R0A4OjoiJs3b4r3RUREwNzcHBs2bMC9\ne/fg4eHBwpoqpKQUGY6EvMHlbacglwtwaVQdI7rbw4onK1I2aimup0+frnL5Tz/9pI7dExFRCUtM\nTISJiYl4W0dHBxkZGdDV1cXr168RGhqKGTNmoHbt2hg9ejQaNWoEV1fXfPdZES+cwz6XT4Ig4EZk\nMo6HxiExVY7KJjrwamqOeh/oIiYiHDERmm5hyasIv2d1UUtx3bx5c/HnjIwMnDhxgqMaRERliImJ\nCZKSksTbcrlcvLCXubk5bGxsYGtrCwBwd3fHzZs331lcV8SrcLLP5c/bCMhrSHS14WlvhvEDPq1Q\nEZCK8HvOqTgfJtRSXHt7eyvd7tmzJ/r166eOXRMR0Xvg5OSEoKAgeHl54dq1a5BKpeJ9tWrVQlJS\nEqKiomBjY4OrV6+iZ8+eGmwtUclLSpFh67HbOHAuQikCEhMRXqEKayq8Erne+IMHD/Ds2bOS2DUR\nEZWAdu3a4fz58+jbty8EQcC8efMQEBCA5ORk9OnTB3PnzsXkyZMhCAKaNGmCVq1aabrJRCVCEASc\n/jsG6/KYBaQiRECoeNRSXNevXx9aWloQBAEAYGFhgUmTJqlj10RE9B5oa2tj9uzZSssUMRAAcHV1\nxc6dO993s4jeq6jH8VipmAVEV5uzgFCRqKW4vn37tjp2Q0RERPTeJafKsPXoHQScewi5XECLhtUx\nonsjVK9irOmmURlUrOJ6+fLl+d4/fvz44uyeiIiIqMQIgoDTobFYt/8mLwRDalMimWsiIiKi0izq\ncTxW7bmBmw+yIiADOtaHDyMgpAbFKq7zGpkWBAExMTHF2TURERGR2jECQiVNLSPXmzdvxqJFi5CS\nkiIus7a2xvHjx9WxeyIiIqJiyRkBqV7FCJ/1sEezBtU13TQqZ9RSXK9btw779u3DkiVL8OWXX+Ly\n5cs4f/58gbZ9+fIlfHx8sG7dOqUz04mIiIjUIepJ1oVgFBGQ/h3qw9eTERAqGWoprqtUqYJatWrB\nzs4Od+/ehY+PDzZv3vzO7WQyGWbMmAEDAwN1NIOIiIhIlJwqw1/H7mD/WUZA6P1RS3FtaGiI4OBg\n2NnZITAwEPb29oiPj3/ndj///DP69u2LNWvWqKMZRERERGIEZH3ATbyKZwSE3i9tdezku+++Q1BQ\nENzd3fHmzRt06tQJAwcOzHeb3bt3w8LCAu7u7upoAhERERGinsTjm5XnsXBLCBKTZRjQsT5WfN2a\nhTW9N8UauQ4KCoKHhwekUimmT58OAFi2bFmBtt21axe0tLRw8eJFhIeHY+rUqVi5ciUsLS3z3CYk\nJPFg5qgAACAASURBVKQ4zS2T2OeKgX0mIioeRkCotChWcb1+/XrMmjUL3bp1Q8+ePWFjY1Pgbbds\n2SL+PGjQIMyaNSvfwhoAnJ2di9zWsigkJIR9rgDY54qBHyaISoYgCDgTGot12SIgI3vYozlHqklD\nilVcb9y4EY8fP8b+/fsxZswYVK5cGb6+vujUqRMMDQ3V1UYiIiKiXKKexGP17jCEPXiRNQtIezv4\ntK4Hfc4CQhpU7BMaa9SogVGjRmHUqFEICwvDvn37sGbNGjRr1gw//vhjgfaxadOm4jaDiIiIKoic\nEZBmDazwWQ97RkCoVFDr5c/r1auHxo0b499//8Xff/+tzl0TERFRBZczAmJlYYTPvBkBodKl2MV1\nZmYmzp49i4CAAFy+fBmtWrXCyJEj0aRJE3W0j4iIiIgRECozilVcz5gxA8ePH0e9evXg4+ODuXPn\n8oIwREREpDbJqTJsO34X+888QKZcQPMG1TGyB2cBodKrWMV1lSpVsH37dtSqVUtd7SEiIiKCIAg4\ney0Wf+y/hVfxqYyAUJlRrOL6iy++UFc7iIiIiABkRUDW7AnDjfsvoMcICJUxaj2hkYiIiKioFLOA\nBJx9iEzOAkJlFItrIiIi0iiVEZAe9mjekBEQKnvUUlwvX75c6baWlhYMDAxga2uLVq1aqeMhiIiI\nqBzKGQHp284OPdswAkJll1qK60ePHiEqKgqdO3cGABw7dgwmJiYICQnB5cuXMWXKFHU8DBEREZUT\nOWcBadbACiO726NGVUZAqGxTS3EdERGBLVu2QCKRAAD69u2LQYMGwd/fH926dWNxTURERAAYAaHy\nTy3FdXx8PDIyMsTiWiaTITk5GUDWi4iIiIjo0ZN4rM4WAenX3g6+nAWEyhm1FNcDBgyAr68vWrVq\nBblcjjNnzmDgwIHYsGEDpFKpOh6CiIiIyqjkVBn8j9/Fvv8iIE0/zpoFhBEQKo/UUlwPHjwYLVq0\nwMWLF6Gjo4OlS5eiXr16iIyMRP/+/dXxEERERFTGCIKAc9f+xR8BN/EyLhXVLIwwihEQKufUUlwL\ngoCQkBCEhIQgMzMTcrkctra2+PDDD9WxeyIiIipjop8mYNXuG5wFhCoctRTX8+fPR1RUFHx9fSEI\nAnbv3o2YmBh8++236tg9ERERlREpaRnYduwOIyBUYamluD5//jz27t0LbW1tAECrVq3QtWtXdeya\niIiIygBFBOT3/TfxKp4REKq41FJcZ2ZmKs0WkpmZCR0dfu1DRFRWyOVyzJo1C3fu3IFEIsGcOXNg\nY2OTa73vv/8elSpVwldffaWBVlJpxQgI0VtqKa67du2KwYMHixeROXjwoPhzXjIzM/Hdd98hIiIC\nWlpa+OGHHzizCBGRhgQGBiI9PR3+/v64du0a/Pz8sHLlSqV1tm3bhrt376JZs2YaaiWVNmkyOdYH\n3GIEhCgbtRTXo0ePxscff4zg4GAIgoDRo0e/87LnQUFBALLerC9duoTFixfneiMnIqL3IyQkBO7u\n7gAAR0dH/J+9Ow+Psrz3P/6ZJZk1kz2ALEpYtIpr6nbqvqFUXHABtWBrW5FytG5VREVaqRbltFpb\nN86xC/pTqKJiW21daBWraEehYF2qIhoI2bfZMtvz+2OSSQIBEphkkpn367pyZSbJPPO9IbnzyT3f\n5342btzY7fPvvfee1q9fr+nTp+vzzz9PR4kYRAzD0Jr1W/XQH6vVGoyprMip7587SUcfNFwmkynd\n5QFplZJwLUknnniiTjzxxOT9hQsXauHChTv9+tNOOy0ZwLdu3SqPx5OqUgAAfeTz+eR2u5P3LRaL\notGorFarampq9Otf/1q/+tWv9OKLL/b6mF6vtz9KHdSyYcy1zRH9+Z9N2lTdJotZOnFSno470KOc\ntq16772t6S5vQGTD//P2snHMeypl4Xp7q1at2mW4liSr1aqbb75ZL7/8sn75y1/u9pjZ+B/LmLMD\nY0a6ud1u+f3+5P14PC6rNfEr4qWXXlJjY6OuvPJK1dbWKhQKqby8XNOmTdvlMSsqKvq15sHG6/Vm\n9JiDbVEtf/ljPff3LckWkGPHm3TGSUenu7QBlen/zz3J1jHvqX4L17297PnixYt144036uKLL9af\n/vQnOZ3OnX5tNv7HMubMx5izw2D/Y+KII47Q6tWrNWXKFK1bt67bOTCzZs3SrFmzJEkrV67U559/\nvttgjczR0QLyf6vaLwRT6NCV7buAvPfee+kuDxh0+i1c767n6rnnnlN1dbVmz54th8Mhk8mU3MoP\nADCwTj/9dL355puaMWOGDMPQXXfdpRdeeEGBQEDTp09Pd3lIk6+qW/XIs//S+v/UyWoxa/rpE3Xh\nKRNkz+23+AAMeXv10zFz5sweQ7RhGGpra9vlY8844wzdcsstuuyyyxSNRjV//nzZ7fa9KQcAsIfM\nZrN+8pOfdPvYuHHjdvg6VqyzQ2cLSGIXkIoDynTl+QdrnxL37h8MZLm9CtdXX331Hj/W6XTq/vvv\n35unBwAAKWQYht7811b97/OdLSDfP+9gdgEB+mCvwvVRRx2VqjoAAEAafVXdqkef3aB1/6lVjpUW\nEGBP8RMDAEAW62gBef71zxSN0QIC7C3CNQAAWaijBeT/nt+ouvYWkO+de7COmUQLCLA3CNcAAGSZ\nri0gVotZ00+bqAtPpQUESAV+igAAyBLbt4AccUCZZp93sPYppQUESBXCNQAAGW77FpDSQoe+TwsI\n0C8I1wAAZDBaQICBxU8WAAAZiBYQID0I1wAAZBDDMPSPf1Xpf5/fQAsIkAaEawAAMkRlTaseeXaD\n1n2SaAG5+LSJuogWEGBA8dMGAMAQF2qLavkrn+i5v39KCwiQZoRrAACGKMMw9I8NVfrf5zeqrinY\n3gIyScdMGkELCJAmhGsAAIYgWkCAwYmfQAAAhpAdWkD2L9OV5x+skbSAAIMC4RoAgCEguQvIKlpA\ngMGMcA0AwCC3pdanR1b+S+/TAgIMemn7qYxEIpo/f762bNmicDisOXPm6NRTT01XOQAADDqhtqhW\nvPqJnv0bLSDAUJG2cL1q1SoVFBTo3nvvVVNTk8477zzCNQAASrSAvLWhSkvZBQQYctIWrs8880xN\nnjxZUmISsVgs6SoFAIBBo3sLiEkXnTpBF586UXYbLSDAUJC2n1SXyyVJ8vl8uuaaa3Tttdfu9jFe\nr7e/yxp0GHN2YMwAOltAPlM0FtfhE0s1e9ohtIAAQ0xa/wyuqqrS3Llzdemll2rq1Km7/fqKiooB\nqGrw8Hq9jDkLMObswB8T2JntW0BKChz63rmT9F8H0wICDEVpC9d1dXW64oortGDBAh177LHpKgMA\ngLShBQTIPGn76X344YfV0tKiBx98UA8++KAkaenSpbLb7ekqCQCAAbH9LiCHTyzVlecfrFFleeku\nDcBeSlu4vu2223Tbbbel6+kBABhwPbWAfP/cSTqWFhAgY/C6EwAAA2BLrU+PPrtB731cQwsIkMH4\niQYAoB+xCwiQXQjXAAD0A8Mw9PbGRAtIbWP7LiDnTNJ/HUILCJDJCNcAAMXjcS1cuFAff/yxcnNz\ntWjRIu27777Jz//xj3/U7373O1ksFk2cOFELFy6U2WxOY8WD29Zanx55boPe+4gWECDb8FMOANAr\nr7yicDis5cuXa926dfrZz36mhx56SJIUCoV033336YUXXpDD4dD111+v1atX69RTT01z1YNPKBzV\nH179j1au/lTRWFyHTSzVbHYBAbIK4RoAIK/Xq+OPP16SdNhhh2njxo3Jz+Xm5uqpp56Sw+GQJEWj\nUdlstrTUOVgZhqEPvwrq1y++lmgBybfre+ceTAsIkIUI1wAA+Xw+ud2dJ9hZLBZFo1FZrVaZzWaV\nlJRIkpYtW6ZAIKBvfOMb6Sp10OlsAamX1WLShadM0PTTaAEBshU/+QAAud1u+f3+5P14PC6r1drt\n/r333qtNmzbpgQce6NVqbKZf8j0cjeuND1r1jw9bFYtL5cNtmvL1ApV4gvpg4/p0lzdgMv3/uSeM\nGbtCuAYA6IgjjtDq1as1ZcoUrVu3ThMnTuz2+QULFig3N1cPPvhgr09krKio6I9S0y6xC8g2/e+L\nG1TT0QJy3sGyhbfq61//errLG1Berzdj/593hjFnh735Y4JwDQDQ6aefrjfffFMzZsyQYRi66667\n9MILLygQCGjSpEl6+umn9fWvf12XX365JGnWrFk6/fTT01z1wNt+F5ALTh6vGafvL7vNKq+3Kt3l\nARgECNcAAJnNZv3kJz/p9rFx48Ylb3/00UcDXdKgwi4gAHqLcA0AwE4kW0Ce72wB+e65k/SNQ/Zh\nFxAAPSJcAwDQg611Pj367AZ521tALjxlgi4+baIc7AICYBeYIQAA6CIUjurpV/+jZzpaQCaU6srz\nD9boYbSAANg9wjUAAEq0gKz9YJuWPtdlFxAuBAOgjwjXAICsRwsIgFRJ+6yxfv16LVmyRMuWLUt3\nKQCALBMKR/X0a//RM6/RAgIgNdIarpcuXapVq1bJ4XCkswwAQJbZvgWkON+u77ELCIAUSGu4HjNm\njB544AHddNNN6SwDAJBFqur8evS5Dfrnh9WymBMXgpl++v60gABIibTOJJMnT1ZlZWWvvz4br2vP\nmLMDYwb63/YtIIdOKNHs8w+hBQRASg2pP9Oz8br2jDnzMebswB8T6dNTC8h3z5mk4w6lBQRA6g2p\ncA0AQF9srfNp6XMbaQEBMGCYXQAAGWf7FpBDxpfoqmm0gADof2kP16NGjdKKFSvSXQYAIAPQAgIg\n3dIergEASAV2AQEwGDDjAACGtLZITE+/+h89s/o/ikRpAQGQXoRrAMCQ9c4H2/TocxtU3RBQkSdx\nIRhaQACkE+EaADDkbN8Ccv5J4zXj9Ily2nPSXRqALEe4BgAMGW2RmJ557T96+rXOFpDZ5x+sMcM9\n6S4NACQRrgEAQ8T2LSDfPecgHX/YSFpAAAwqhGsAwKC2fQvItJPGazotIAAGKcI1AGBQogUEwFBE\nuAYADDo77AJyziQddxi7gAAY/AjXAIBBY1t9ogXk3X+zCwiAoYlwDQBIO1pAAGQKwjUAIK3YBQRA\nJiFcAwDSghYQAJmIcA0AGFDbt4AcPK5Es6cdrH1pAQGQAQjXAIAB886/t+nRZztbQK6YepBOOJwW\nEACZg3ANAOh32+r9WvrcRr3z7220gADIaGkL1/F4XAsXLtTHH3+s3NxcLVq0SPvuu2+6ygGArLa7\nOfm1117Tr3/9a1mtVl1wwQW6+OKLe3XctkhMK1/7j/7QZReQK8+nBQRA5kpbuH7llVcUDoe1fPly\nrVu3Tj/72c/00EMPpascAMhqu5qTI5GI7r77bj399NNyOBy65JJLdMopp6ikpGSXx3zn39u09LkN\n2lYfUJHHpu+eM4ldQABkvLSFa6/Xq+OPP16SdNhhh2njxo3pKgUAst6u5uTPPvtMY8aMUX5+viSp\noqJC7777rs4666xdHvPO/1srs9mk804cp0vO2J8WEABZIW3h2ufzye12J+9bLBZFo1FZrTsvyev1\nDkRpgwpjzg6MGem2qznZ5/MpLy8v+TmXyyWfz7fbYy68dFT7rTZ9+MG/Ul3yoJSN39eMOTtk45j3\nVNrCtdvtlt/vT96Px+O7DNYVFRUDURYAZKVdzcnbf87v93cL2z1hzgaQrczpeuIjjjhCr7/+uiRp\n3bp1mjhxYrpKAYCst6s5edy4cdq8ebOampoUDof1z3/+U4cffni6SgWAQc1kGIaRjifuODP9k08+\nkWEYuuuuuzRu3Lh0lAIAWa+nOfnf//63AoGApk+fntwtxDAMXXDBBbrsssvSXTIADEppC9cAAABA\npklbWwgAAACQaQjXAAAAQIoM+sufZ8uVHCORiObPn68tW7YoHA5rzpw5Gj9+vObNmyeTyaQJEybo\njjvukNmcWX8P1dfXa9q0aXrsscdktVozfryS9Mgjj+i1115TJBLRJZdcoqOOOipjxx2JRDRv3jxt\n2bJFZrNZd955Z0b/P69fv15LlizRsmXLtHnz5h7HuWLFCj311FOyWq2aM2eOTj755HSXnVLM2Zn5\nvd1Vts3b2TRnS8zbKZm3jUHuL3/5i3HzzTcbhmEY77//vnHVVVeluaL+8fTTTxuLFi0yDMMwGhsb\njRNPPNGYPXu28fbbbxuGYRi333678de//jWdJaZcOBw2fvCDHxhnnHGG8emnn2b8eA3DMN5++21j\n9uzZRiwWM3w+n/HLX/4yo8f98ssvG9dcc41hGIaxZs0a47//+78zdryPPvqocfbZZxsXXXSRYRhG\nj+Osqakxzj77bKOtrc1oaWlJ3s4kzNmZ973dVbbN29k2ZxsG83Yq5u1B/2dHtlzJ8cwzz9QPf/hD\nSZJhGLJYLPrggw901FFHSZJOOOEE/eMf/0hniSm3ePFizZgxQ2VlZZKU8eOVpDVr1mjixImaO3eu\nrrrqKp100kkZPe6xY8cqFospHo/L5/PJarVm7HjHjBmjBx54IHm/p3H+61//0uGHH67c3Fzl5eVp\nzJgx+uijj9JVcr9gzs687+2usm3ezrY5W2LeTsW8PejD9c6uGpZpXC6X3G63fD6frrnmGl177bUy\nDEMmkyn5+dbW1jRXmTorV65UUVFR8pewpIweb4fGxkZt3LhR999/v3784x/rxhtvzOhxO51Obdmy\nRWeddZZuv/12zZw5M2PHO3ny5G4XwuppnHt6pcOhhDk78763O2TjvJ1tc7bEvJ2KeXvQ91z39UqO\nQ1lVVZXmzp2rSy+9VFOnTtW9996b/Jzf75fH40ljdan1zDPPyGQy6a233tKHH36om2++WQ0NDcnP\nZ9p4OxQUFKi8vFy5ubkqLy+XzWbTtm3bkp/PtHH/9re/1XHHHacbbrhBVVVVuvzyyxWJRJKfz7Tx\ndtW1H7FjnHtypcOhhjk7IRO/t7Nx3s62OVti3u6wN/P2oF+5zpYrOdbV1emKK67Qj370I1144YWS\npAMPPFBr166VJL3++uv6+te/ns4SU+qJJ57Q448/rmXLlulrX/uaFi9erBNOOCFjx9uhoqJCb7zx\nhgzDUHV1tYLBoI499tiMHbfH40lOQvn5+YpGoxn9fd1VT+M85JBD5PV61dbWptbWVn322WcZN6cx\nZ2fu93Y2ztvZNmdLzNupmLcH/UVksuVKjosWLdKLL76o8vLy5MduvfVWLVq0SJFIROXl5Vq0aJEs\nFksaq+wfM2fO1MKFC2U2m3X77bdn/HjvuecerV27VoZh6LrrrtOoUaMydtx+v1/z589XbW2tIpGI\nZs2apUmTJmXseCsrK3X99ddrxYoV2rRpU4/jXLFihZYvXy7DMDR79mxNnjw53WWnFHN25s/ZUnbN\n29k0Z0vM26mYtwd9uAYAAACGikHfFgIAAAAMFYRrAAAAIEUI1wAAAECKEK4BAACAFCFcAwAAAClC\nuAYAAABShHANAAAApAjhGgAAAEgRwjUAAACQIoRrAAAAIEUI10irWCym3/zmN5o2bZrOPfdcTZky\nRffee6/C4fAeH/PVV1/VokWLJEl/+9vfdP/99+/2MTNnztRLL720w8cjkYjuueceTZ06Veecc46m\nTp2qhx9+WIZh9On4fX1eAMh0Tz75pM455xxNmTJF3/zmN/WjH/1IW7du3e3jbrvtNm3cuHGPn7e1\ntVWzZs3a48cDu2NNdwHIbgsXLlRzc7N+97vfKS8vT4FAQDfeeKNuvfVW3XvvvXt0zFNPPVWnnnqq\nJGnDhg1qbm7e4/p+97vfqbKyUs8++6ysVqtaW1t1+eWXq7CwUNOnT9/r4wNANlq8eLE++ugjPfLI\nIxoxYoTi8bhWrVql6dOn6w9/+IOGDx++08f+4x//0PTp0/f4uZubm7Vhw4Y9fjywO4RrpM1XX32l\nF154QWvWrJHb7ZYkOZ1O/fjHP9b7778vSdq0aZN+8pOfKBAIqKamRgcccIDuu+8+2Ww2HXjggbr8\n8su1du1aBQIBXX/99TrjjDO0cuVK/eUvf9EPfvADPfXUU4rFYsrLy9Ps2bO1cOFCffHFF2pubpbL\n5dKSJUtUXl6+0xpra2sViUQUDodltVqVl5ene+65R/F4XOvXr+92/Ouuu06//vWv9ac//UkWi0Vj\nx47V7bffrtLSUtXW1uqOO+7Q559/LrPZrBkzZnRbOYlGo7rhhhtktVq1ePFiWa38aALITNu2bdNT\nTz2lv/3tb8rPz5ckmc1mnXfeedq4caMeeeQR/f3vf9f999+vgw8+WJJ0yimn6P7779crr7yimpoa\n3Xjjjbrnnnu0ZMkSjRs3Ths3blRjY6POPfdcXXPNNaqsrNTUqVOTv0u63r/lllsUCoV07rnnauXK\nlbJYLGn7t0Bmoi0EafPvf/9b48ePTwbrDqWlpTrjjDMkSStWrNB5552n5cuX669//asqKyv1t7/9\nTVKipSQ/P18rV67Ufffdp/nz56uhoSF5nEMPPVQzZszQlClTdN111+n111+Xx+PRihUr9Je//EWT\nJk3SE088scsav/Od76i6ulrHHHOMZs6cqV/84hcKh8OaOHHiDsd/5pln9MYbb+jpp5/WCy+8oAkT\nJmjevHmSpB//+Mfab7/99NJLL2n58uVasWKFNm/eLCnRevLDH/5QxcXFWrJkCcEaQEZbv369ysvL\nk8G6q//6r/+S1+vd6WOvu+46lZWVacmSJTr00EMlSVu3btWTTz6pZ599Vn/+85+1evXqXT7/3Xff\nLbvdrueff55gjX7Bb3GkjdlsVjwe3+XX/OhHP9Kbb76ppUuX6osvvlBNTY0CgUDy89/61rckSQcc\ncIAmTpyod999d6fHOvPMMzV69GgtW7ZMmzdv1jvvvKPDDz98l88/fPhwrVy5Up9++qnWrl2rtWvX\navr06Zo3b54uu+yybl/7+uuva9q0aXI6nZKkWbNm6eGHH1Y4HNY//vEP/ehHP5Ik5eXl6Y9//GPy\ncYsXL5bf79fLL78sk8m0y3oAIBNEo9EePx4Oh/s8D06fPl05OTnKycnRmWeeqTVr1mjChAmpKBPY\nI6xcI20OOeQQff755/L5fN0+Xl1drSuvvFKhUEjXX3+9VqxYoZEjR+rb3/62DjrooOTJhJK6rTrE\n4/FdrkL8v//3/3TrrbfKbrdr6tSpOvvss7sdqyf33HOPNm3apPHjx+uyyy7TL3/5Sy1atEhPPvnk\nDl+7/bHi8XjyF4jVau32C+Orr75Kjvucc87RjBkzdNttt+2yFgDIBIcddpg2b96s2traHT63du3a\n5KJH1zl1Vye5d321zzAMmc1mmUymbo+PRCKpKB3oFcI10mbYsGGaOnWq5s+fnwyaPp9PCxcuVEFB\ngex2u9asWaO5c+dqypQpMplMWr9+vWKxWPIYzz33nCTpgw8+0KZNm3TkkUd2ew6LxZIMuGvWrNH5\n55+viy66SGPHjtVrr73W7Vg9aWho0P33369gMCgpMXFv2rRJBx544A7HP+6447Ry5crkyvqyZct0\n5JFHKjc3V8cee6yeeeYZSUqeFPnFF19ISvyRce211+rLL7/UihUr9vjfEwCGgmHDhmnmzJm6/vrr\nVV1dnfz4M888o7/+9a/6/ve/r6KiouSOIOvWresWxLvOu5K0atUqxeNxNTc368UXX9Qpp5wij8ej\nSCSiTz/9VJL08ssvJ7/earUqFovtdnEF2FO0hSCt7rjjDj344IOaMWOGLBaLwuGwTjvtNF199dWS\nEv11c+fOVX5+vhwOh4488kh9+eWXyce/9957WrFiheLxuH7xi1/s0MN37LHH6uqrr1ZOTo6uuOIK\nLViwIHkCy0EHHaRPPvlkt/X94he/0DnnnKPc3FxFo1Edc8wxWrBgwQ7Hv/XWW1VVVaWLLrpI8Xhc\n++67r5YsWSJJWrBggRYuXKipU6fKMAzNnj1bkyZNSj6PzWbTz372M11xxRU65phjNGbMmJT8+wLA\nYHTDDTfoD3/4g+bMmaNwOKxwOKyDDz5YTz31lEaOHKkbb7xRCxcu1PLly3XQQQfpoIMOSj72tNNO\n03XXXZfccjUUCunCCy+U3+/XpZdeqmOPPVZSoq2wI6ifeeaZyceXlpbqwAMP1FlnnaUnn3xShYWF\nAzt4ZDyTwZ9uGKL2339/vfXWWyoqKkp3KQCANJg5c6Yuu+yybuEZSDfaQgAAAIAUYeUaAAAASBFW\nrgEAAIAUIVwDAAAAKUK4BgAAAFJkwLbiW79+vZYsWaJly5bpww8/1J133imLxaLc3FwtXrxYJSUl\nu3z8ri6HCgBDQUVFRbpLGDDM2QCGuj2dswckXC9dulSrVq2Sw+GQJP30pz/V7bffrq997Wt66qmn\ntHTpUt1yyy27PU42/WKSEr+cGHPmY8xDTyQaV2NLSPXNITW0hFTfElRDc0h1LX7VtDaqIdiolnCL\nIqaATLkhyRLVrceele6yB9xQ/j/eE0P9+3pPMObskCljNgxD/mBENY1B1TT4VdnQqMqmWlW31qk+\n2KjWaLPC8smUG9Ith120x88zIOF6zJgxeuCBB3TTTTdJkn7+85+rrKxMkhSLxWSz2QaiDADYpVjc\nULOvTQ3NIdU3B9uDc+J2bUur6v2NamprVjCemHxNuW2J9zmh9vcRqUCJN0k5aR0NAGSXaCyuhuaQ\nahoDqmkM6Kv6Om1pqVWNr15NbU0KxJoVsyYWPUy2oEyW9qs05yg5YVskmQzLXtUxIOF68uTJqqys\nTN7vCNbvvfeeHn/8cT3xxBO9Ok42vszImLMDY+5fhmEoGDbUGoypNRBTazCmlmDH+6ha2oLyRf0K\nKih1BOXckEw5bZ23PTHJkzhe7nbHt8gip9mlPGuxCnLd8lhdcludyrO6lGd1yWN1DdhYASBTJVad\nA6ptCmpbg09fNdRoW0ud6oINagk3KWT4JFtQptxgYt42t+827Wx/UyI8W5Urt7VQhbZClbmLLN7n\nTwAAIABJREFUNbKgVKMKyzTMXaxSZ5E89jy9/977e1xn2i5//uc//1kPPfSQHn300V5fYS8TXpLo\ni0x5GaYvGHN2SOWYg23R5CpzYsU51GXFOaD6QJOa2poVtwSkrmE5NySTMyRTfltyAt4+NEuS0+pU\ngb1MJa5ClbmKVOQsVJGjQMXOAhU5Em/OHIdMJtNuxwwA6FksFldDS1syPFc1NLW3bNSrIdQoX7RZ\nUYtfptyQzLZgYj43aYdVZ0mymZzy5AxXkaNIw/NKNLqwVPvkl6rUVaRSZ7GcuY5+HUtawvXzzz+v\n5cuXa9myZSooKEhHCQAGuUg0poaWRItGQ0v3No2O/ubGYJPa5Otsz+jaopHbJpUmJt+eJjqTTPLk\nelTsHK5Sd6GKHQU7BOdCR4FyLTR3AMDeCoQiqm0MqrYp0e+8talRWxrrVBuoV1O4SYF4q0w5wUS7\nhi0okzWSeGCXVefEXG6S05ynAtswlTqLNCK/RKMLyzTMXaISV5FKnEVpn7cHPFzHYjH99Kc/1YgR\nI3T11VdLko488khdc801A10KgDSIxQ21BGL6z1eNyVXm5Kpzx3tfq3yR1u6rzF17nD0hmYoSE29P\nZ2xYTVYVOgpU7BytYmeBip1F7eG5QMWOQhU5C1Rg88hsZjdSANhbsbihxpZQe3gOqKYhoMrGOm1r\nrVN9oFEtkWZFzD6ZbKFEy0ZHv3OOpPzEMToCqVkWua35KrInWjZGFXRZdXYVq8heMOjn7gEL16NG\njdKKFSskSe+8885APS2AAWIYhloDkc5V5uSKc/c2jeaAT0ZOm0y5/+ohPIdk3qdNskRl38nz2Cw2\nFTuLVZJcZS7s0qKRuO3Ode22TQO71nX71M2bN2vevHkymUyaMGGC7rjjjkH/yw1A6rRF4vpyW4tq\nm4KqbUz0O29trlN1a70a2xrli7ZIXVedc4OJdrsdVp2lHJNNnpxiFTsKNcJTqlGFpYlVZ2eRSl1F\n8tjyhvz8nbaeawBDRyAU6bbC3BGa67utOAcVNbX1GJhNuSGZC0MyDWuTzRzb6fO4cpwqcQ5TkbMz\nKBc5EiG6xJlYcXbm9G+vHHbcPvXuu+/Wtddeq6OPPloLFizQq6++qtNPPz3NVQJIhXjcUJOvTbXt\nvc6J8Nyqrc11qvXXqyncmGi/877UueqcG5LJouTOSF3DpN3sVIFthEpdxdrHU6IR+SUqc5UMWL/z\nYEC4BrJYOBLrDM0dq8zNXe8n+pyDbVHJGu6xTcPsCMlS0KacnKByTPGdPpfH5laxcx8VOQoU90d1\nwJiJXVaeEwHaZu3plEIMtO23T/3ggw901FFHSZJOOOEEvfnmm4RrYIgIhaOqaw/NtU1B1TQGtK2x\nRdtaEns7t4SbFM8JyGQLytwRnHPbuq06d+1gdlnyVOQoS+yykV+q4XklKnEWq7S935l5nHANZKRY\nLK4mX1u3towd2jSaQ2oNhCUZOwnOIeWUhWUZHZLTEpSxk+Bskkn59jwVO0YnepqdhSpuX3XuuF3o\nyFdOlxNMvF6vKg7Mrh1ShpLtt081DCP5Mq3L5VJra2u6SgPQhWF0rDoH21edA4mV56ZmVbfWqj7U\npKDRKlNue3DuaNnosie/RZ27bJhklicnX8XOkRqeV6J98ktV5ipWQ2WdvnH4MSp2FMpqITruDv9C\nwBBiGIZa/OHuoblrcG6/3dQaUtyQEsE50iUwJ1YlctxhWUvb5MkJKWoO7DQ4SyZ57B4VOUe3B+bO\nVo2S9hXnQns+k22G69pf7ff75fF4evW4bNx+kDFnh4EacyRmqMUfVXMgpiZ/TM3+qJoCUTUFQ2qO\n+uSLtUq57YHZFuoMz46o1N590XUd2SyznCaX8nNKVWzLU0FOnjw5buVb3fLk5Mltcchs6nI+RVvi\nLc+5jyo//lKV+nJAxj3U8RsRGCQCochOd8/obNFoUzTWEYQNyRLtFpqt9jbZRkaUb2uTkRNUxORX\nXD33OMdkUsEOwbmzv5ngjA4HHnig1q5dq6OPPlqvv/66jjnmmF49jv3bMx9j3nMdiyW1jcHk3s61\njUHVNPlV3dykOn+DfLGWzhXnjuBcGJSpJDGvb7/hXI4pR4X2Ig3LK9GIvBKVuorb34qSF0fpFp4H\neMxDyd78AcVvTaCfdfQ1d23HaOzS57ylukmBZ/6oYNt2Idgc7TwZ0BaSszCigpFhmWxtilsCapNf\nMUV2eL5I+1u+LU8jnSNV5CxUSZdV58T7IhURnNFLN998s26//Xb9/Oc/V3l5uSZPnpzukoBBLxKN\nqa4pcSnurm0bNU0B1bQ0qD7YpJjF3xmauwboYYlFlO23GrVZ7Cp2lGl4XomGuUuSfc4dJwyyU9Lg\nwG9WYA919DXXb9fLnLhKYDAZnlsDOwZgmeKJi53YQrK72pS3T1yFjsROG1FzQCGjVWGjrdtDOkKz\nJLlzXRrlHKbibsG5sH1HjcTqc7o30cfQ1nX71LFjx+rxxx9Pc0XA4GEYhnzBiGoaAsmTBDtPGPSr\ntjWxt3O30NwRnD0hmQri3XqdOzisDpU4R2h4XpcdNlzFKm0/YdCV60zHcNFHhGtgO/G4odZAz33N\nifuJ4NzU2tbe17w9Q8oJy+EOK29YTIWuiCz2NiknqEh7cA5E/TJkdHy1up4e5jDbVeYs6haYO9o2\nSlxFKnYUcjY2APSjaCyu+uauq86d4Xnz1nr5n3tGYbNvx1VnW1CmsqBMw40eL3DltDo1zD1KZe5i\nlTqLVOZub91wJkK0I2dnO/xjKCFcI2sYhqFgWzS53Vz9dtvNdd2CLhrrMTVLknJthgoK49p3RFQ2\nV1hmWyjZ3xyItagl0qKYkWjxaFWX4ByTrIZVxY4C7Vs4QiXtATpQ16rDDzgs2efMygQA9B/DMOQP\nRZM7a3Ts71zT2Nm20Rjssuq8XXg2TwzJZI73GJ7zct0qc43p7HNu73kuaw/QdsJzViBcIyP01Nfc\nsMPJgCGFwju/gInZbFJhXq7GjLbKlR9TrjMRnOPWgMLyyR9rVXO4SYFIcIfQ3HHOYIHdo7GFo5PB\nuaTLanOJs7DHk0m8Xq+O2GdSf/yzAEDWibWvOie3pus4UTB5O6BgPNBle7pAZ3DOD8lUGpTd3PMO\nSh5bnlwq1n5lY7r1O5e5ilXiKpLd2lPkRrYhXGNQi8Xiamztsl9zczC54tx1pbnHvuYuCtw27VPi\nlsdjlsuTWHFWbkhxq19t8skXbVFTW5Magk0KGO2TakxSoPMYdqtNpc4iTSweq+L2y7R2hOhSZ5GK\nHAWcIAgA/cwfjPQcnNvbNhqaA4pbwp0XRemy+mwpC0qjQnLs5EqxeblulblHd1ltLu62Cm232rJy\n5wz0DUkAabF9X3PHSvPHnzXqT+veTobnJl+bjJ13aMhlt6oo36FxIwtUmG+TOy+uHGf7iYEWv0JG\nq3zRFtUHG1UXaFBVuD0t+9vf2plMJhXZCzShaL/23ubES3jFzsJkiHbmODgLGwD6USwWV0NLW7ce\n547gXNceqP2hiGSJdK42d2nZsO4bkj03IMO0s/DsUqlrZLeTBctcxSpzlbDyjJQhXCOlDMNQIBTt\n1orR08VOdt3X7Feu1ayifLsOHFusYo9dhR67Cj05srkiMnKCilkTwbkp1KDaQIPq/A36PNCgiD/a\nLTR3sFlyVeIq0vii/VTqLFJJe2Auab9d5CiQ1bz9edsAgFQKhCLJ1eauVxTsuF3XHFI8biS2Iu3S\nsmG2BWX1hGQdFpIrJ6C4qedXKx05DpW5RrSH5kS7RnIVmhMGMUAI1+i1tkhMjcn2jMQJgV23nOsI\n0W276Gu2mE0q9Ng1bmSBivLtyeBcnG9Xntuiz7/cqP0OGCFfpFm1gQbVBipV56/X54EGNdQ2yajp\nOZB7bG6NyR+pkvaN8jvCc6mrWCXOQvb+BIB+Fo8bamwNdYbnbicLJkK0L9geik2x7icJ2oKyDW9T\n3n4hxax+xUxtPT6H1WpTmatMpa6OvZ07Vp4T4ZkTwjEYEK6haCyupl30NXdcJTA5KfbAZJLy3TaN\nLHEnQnO+XUWeru8dcjqlsMmv+mCDav31qvFvUa2/Xpv99ard2qDmUEviYG9vf2yTihwF2r+4PNmu\nkWjVKE62bLA1HQD0r1BbNBGcmzqD80efNeiZtW+qtimguqZgl1ck44mLYLWH5xxnSPaxYRXZE688\nhrue0NIuJslstmpYl1aNUlexytydt/NYKMEQQLjOYPF44tKqnSvLwS4rzp3tGc276Wt2O3JUlG/X\n+FEFyeBcmJd4X5yfWHku8tgVNSKq8zeoxl+vWn+9agOf6wN/vWq31Kv2k3q1tPl6PL7FbFGJs0ij\ny/aXKWjoa/tOTK46l7qKadkAgH4Wjxtq9rX1uLNGbVNQNQ1BtQbCXR5hSNawzPZE24bTE1bBiLDM\n9mD7+S4+Geq+40abJLPJrGJnocpco5JtG2WukmSAzt/Dy3MDgwnhegjaVV9z19DcuLv9mnMsKs63\na2SpW8Ue+3Yrzg4Veewq9Nhkz018m4RjEdX561Xjr1eNv1Kb/PV6Z0u9aj5JhOnmttYen8dqtqrU\nWaT9CkZ3nnXt7OyDK7B7ZDYnJlOv16uKgzgLGwBSqS0SS54QmAjPXS6M0t7zHI1tt/1ce99zjiuk\nvBERjXC3yWwLKmL2K2i0KGp0vpoZbX+TpAKbR6Nd+6nM3SU8u4pV5i5RsaNAFhZLkOEI14NMKBxV\nY0ub6puD2vBFQF/5Pt3hoie97mseVaAiT2d7RvcVZ4ecdmu3l9di8Zjqg02q8dWp2v+lNlTVqebT\netX66lQTqFdjsHknz2dRmbNY+xaMUomrqFv/GysRANC/DMNQsy+cDMvdg3Ni5bnZF+7hkYnWjbyC\nqMrGRZTrbpMpN6iIpVWBeIuCsc7WjYA6dyZ1WOwa5RqmMleJDH9UB5cf1Ln67CxWLm16yHKE6wES\njcXV2NKWvHT29u0ZHe/9O/Q1NyRvJfuaS92dK8weu4ryHcn7RR67PK5cmc079qQZhqHWNp+q/XVa\nV1unal9dewtHnWp89aoLNChm7LhxfsfLeAeVTdzhBJIyV4kKHB7CMwD0k3AkprrmLicINga7tW/U\nNQUVjvZ00RNDObaYCovjKh8TUa6rTSZbQBFzq/zxFrVEmhU34opIaux4SFyyKvFq40T3vu2rzong\nPMxVojJ3idy5ruQzeL1eVUzg1UagK8L1XorHDTX727ptMdf90tq972suzrdrQpe+Zl9TrQ4/eIKK\n8x0qzEu0aFgtuw6x4VhEVb7q9uCcCNDV/jrVtr8PRXs+A7vA7tG4ov3aX7or7tYLV+ws5GU8AOgH\nhpE4N2bHbekSq881jUE1tfY8b0uSx23VPiMlV0Fcua7ECYQd4bmprUHBaKj7FWXbF7AL7B5NKNpP\npe2tG8PdpckQXWQvSLbqAeg7wvVOGIYhfyiqhu33au6ye0Z9e19zLL7z1GzLtajYY9eoMne3XuYi\nj63HvuauvF6vKg7eZ4e6WsN+Vftq2986A3S1r1YNwaYe67BbbcnAPMxdqmHuzh44XsYDgP4RicZV\n37z9SYJdri7YFNxpm5/VYlZpgUP7jM+VuyCiXFco0fNsSYTnxrZG1QcbVN2xctOl8TnXkqMyV4mG\nuUuSK85lrhINd5eq1FXMDktAP8rKcB0KR3e4oMme9DUX5ds1fnTBdlvO2VXscaio/f72fc29EY/H\nVR9s1ObAVjV+FtA2X11nmPbXKRgJ7fAYk0zJ1o2OiTQxqZaqzFWsPJub7YsAIIUMw5A/GEn0ODcG\n5P3Yp/VbP+h2We7G1tBOX7XMc+ZqZKlbJQU25RXEZXO1yWRPtG0E4s1qCDWoxl+nTZFg4gHB9rd2\nhY587V9crjJ3SefKs6tEw90lyrd7mPOBNMmocN3R11zfEkwG5+4rzomP+0PRnR7DZJIK3LbkSnPX\nvuaO1ebifLvynD33Nfe+1qhqAvXa1lqrbb4aVfvqtM2XuF3jr1cs3h7st3Y+JteS077qXKrhXQO0\nu1RlzmJZLRn13wkAaRWNxVXfHOoWlrtfjjugYNv2izCJVw8tZpNKChw6qLxYJQUOFRfkyu4OSbaA\nohafAvFm1QW/VLWvTv8O1CsWiXU8NCnHbFWZu0T7l47XMFfnfD+s/VVIXnEEBqcBS2Pr16/XkiVL\ntGzZMm3evFnz5s2TyWTShAkTdMcdd/Sqv+uzyqYdrgbYseLc0BJSs3/Xfc15zhwVFzg0sX3bua5t\nGh27aRS4bbLspq+5tyKxiKr9ddrWWpMIzq21yQBdG2iQ0UOxebkulReM1jB3qeKtUR024WANbw/U\nBaxEAEDKJFade2jVaL/d0BLSzrr+3I4cDS92qaTAobJCp8oKHaqv/1LlB5QqYvXJF2tSjb9K1b5a\nfeKrVWNrc5fG5055NrfKC0a3L5aUJlegh7tLOVkcGKIGJFwvXbpUq1atksPhkCTdfffduvbaa3X0\n0UdrwYIFevXVV3X66afv9jjX/uLvPX7cnmtRkceukWXu5DZzRR5bt/aMony7bDmpPykvGouqxl+n\nKl+tqlprtK21RlW+xPu6QKMM7TgzF9g92r+4XMPzyjS8fTLtCNBdL93q9XpVMZazsAGgr2KxuOpb\nQl1OENwxRAd28iqm2WxSSb5dB+xXpLJCp0oLHSotcKikwCGHO6aYxafGcEP7Ysnn2uyr1dqmWvlj\nAemD7scymUwqcRRqUtn+yfNdOub7Ya4SOXMdA/CvAWAgDUi4HjNmjB544AHddNNNkqQPPvhARx11\nlCTphBNO0JtvvtmrcD31+PJu+zZ3vHfac/q1/rgRV32gUVWtNdraWp0M0Ftba1Trr1e8h+3rCh35\nOqB0vIa7SzViuxBtz7H3a70AkOkCocgOYbmmoX1/56ag6ptDiu9k2dlpt6q0wKHSLsG5I0QX59tl\nym1TbaDjVccvtc1Xqw2ttdpWVau2HnZcspqtGuYq0XBrsfYfOb6zfS+Plj0gGw3IT/zkyZNVWVmZ\nvG8YRrK9weVyqbW15yv7be/K8w7ul/o6tLb5tLW1OhmiO25va61RJL7jCke+LU8TisdqhLtMI/LK\n2kN0mYbnlcputfVrrQCQqWJxQ02toeTVA7u2bnTc3vGaAAlmk1TksWv/MYWdwbnImVx5Lit0ymG3\nqCHQpG2+RMteVeunesdXq23VNdrmr1MktuOxbVZbt1cZE7cTrRzFjkKZzebEq41H8GojkO3S8ud0\n1/5qv98vj8fTq8d5vd69fu6YEVdTpEUN4WY1RJpU3/6+IdysYHzHFYlcU46KcwtUmJOvwhyPinPz\nVZiTr6KcfNksXU4mCUoKGqqvqVa9qve6zg6pGPNQw5izQzaOGQnBtqjqupwYuH3bRl1TcKdbnDps\nFpUWOnXAvoXd+p07bhfn22WxmBU34moMNquqtUZVrZX60FejbZ/Xaltrjap9tT0umDisdo3KG96t\nZa/jlUd23wDQW2kJ1wceeKDWrl2ro48+Wq+//rqOOeaYXj2uoqL3KwL+cEBbWrZpa2u1trRs05bW\nam1t2aZqX+0OVyE0m8wa5irR1zzDtE/eMO2TV9b+flhaJ1Sv19unMWcCxpwdsnXM2WbN+i2dq81d\nQnRroOdVZ5NJKsyza/yoApUWbhec21efXY6c5JxsGIaaQy2q8tWoqvVLrf+qRlX/TrTtVftqFe5h\nBdqRY9fo/H00PK9MI9ztITqvVCPcZWxZCiAl0hKub775Zt1+++36+c9/rvLyck2ePHmPjmMYhppC\nLapsqdKWlm3J91tatqkp1LLD17tyHCov2lcj84Zrn/YgPdIzXMNcJfTEAUCKLf79P7vdt+VaVJLv\n0PhRBcmw3LXvuTjfoRzrjrtj+MMBVbXW6L2aj7St/XyXqtZqbWutVTC6477/dqtNI9tXoEfklWq4\nuyy5Au2x5RGgAfSrAUuUo0aN0ooVKyRJY8eO1eOPP97nY6yr+kCVLVWqbK5SZXuYDkSCO3xdqbNI\nhw4/UCM9wzXKMzwZoplUAWDgfP+8SSotcCZXofOcOTudg8OxiLb5tnU776WqPUS3tPl2+PocS06y\nbaPreS8j3GW0cABIqyG1XHvX679K3raYzBqeV6ZJw/bXKM9wjcwboZGexIo0JxMCQPqdc/y4bvcN\nw1B9oDFxwnhLx0njife1/oYdti41m8wqdRVrXNF+3UL0PnnDVOQsYA9oAIPSkArXF086W6M8iRA9\nwl1GKwcADGJvfvmutnSE6JZqbfXV9LiVXb7dowNKx2ufvGHt4TkRoMto2QMwBA2pWevCg76Z7hIA\nAL10/1uPJW/nWHK0j7tMI5Injne+cSEVAJlkSIVrAMDQ8e3DL9I+7SeQlzgLaeMAkBUI1wCAfjFl\n4inpLgEABhzhGgCwW5FIRPPmzdOWLVtkNpt15513aty4cbt/IABkGV6jAwDs1t///ndFo1E99dRT\nmjt3ru677750lwQAgxLhGgCwW2PHjlUsFlM8HpfP55PVygufANATZkcAwG45nU5t2bJFZ511lhob\nG/Xwww/v9jHZeMl3xpwdGDN2hXANANit3/72tzruuON0ww03qKqqSpdffrleeOEF2Ww7v2hXRUXF\nAFaYfl6vlzFnAcacHfbmjwnCNQBgtzwej3JyciRJ+fn5ikajisViaa4KAAYfwjUAYLe+/e1va/78\n+br00ksViUR03XXXyel0prssABh0CNcAgN1yuVy6//77010GAAx67BYCAAAApAjhGgAAAEgRwjUA\nAACQIoRrAAAAIEUI1wAAAECKEK4BAACAFCFcAwAAAClCuAYAAABShHANAAAApAjhGgAAAEgRwjUA\nAACQItZ0PXEkEtG8efO0ZcsWmc1m3XnnnRo3bly6ygEAAAD2WtpWrv/+978rGo3qqaee0ty5c3Xf\nffelqxQAAAAgJdIWrseOHatYLKZ4PC6fzyerNW2L6AAAAEBKpC3ROp1ObdmyRWeddZYaGxv18MMP\n7/YxXq93ACobXBhzdmDMAABkhrSF69/+9rc67rjjdMMNN6iqqkqXX365XnjhBdlstp0+pqKiYgAr\nTD+v18uYswBjzg78MQEA2SFt4drj8SgnJ0eSlJ+fr2g0qlgslq5yAAAAgL3W557rmpoaSdI///lP\nPfHEEwoEAnv0xN/+9rf1wQcf6NJLL9Xll1+u6667Tk6nc4+OBQAAAAwGfVq5vuOOO2Q2m3XZZZfp\nhhtu0De+8Q29/fbbeuCBB/r8xC6XS/fff3+fHwcAAAAMVn1aud6wYYMWLFigF198URdeeKHuuusu\nbd26tb9qAwAAAIaUPoXrjq3zXn31VZ1wwgkKBoMKBoP9VRsAAAAwpPQpXJ933nk67rjjNHLkSB16\n6KGaNm2apk+f3l+1AQAAAENKn3quv/Od72jWrFmyWCySpCeeeEJFRUX9UhgAAAAw1PRp5XrLli36\n3ve+pzPOOEM1NTW69tprVVlZ2V+1AQAAAENKn8L1ggUL9N3vfldOp1OlpaU6++yzdfPNN/dXbQAA\nAMCQ0qdw3djYqOOOO06SZDKZdPHFF8vn8/VLYQAAAMBQ06dwbbfbtW3bNplMJkmJC8nk5ub2S2EA\nAADAUNOnExrnzZun2bNn68svv9S5556r5uZm3Xffff1VGwAAADCk9ClcH3LIIXr66af1xRdfKBaL\nqby8nJVrAMgSjzzyiF577TVFIhFdcskluuiii9JdEgAMOn0K17fcckuPH7/77rtTUgwAYHBau3at\n3n//fT355JMKBoN67LHH0l0SAAxKfQrXRx11VPJ2NBrVq6++qvLy8pQXBQAYXNasWaOJEydq7ty5\n8vl8uummm9JdEgAMSn0K1+eff363+xdeeKEuueSSlBYEABh8GhsbtXXrVj388MOqrKzUnDlz9NJL\nLyVPcO+J1+sdwAoHB8acHRgzdqVP4Xp7n332mWpqalJVCwBgkCooKEieZ1NeXi6bzaaGhgYVFxfv\n9DEVFRUDWGH6eb1expwFGHN22Js/JvoUrg844ACZTCYZhiFJKioq0vXXX7/HTw4AGBoqKir0+9//\nXt/5zndUU1OjYDCogoKCdJcFAINOn8L1Rx991F91AAAGsZNPPlnvvvuuLrzwQhmGoQULFshisaS7\nLAAYdHoVrn/1q1/t8vP//d//nZJiAACDFycxAsDu9ekKjQAAAAB2rlcr1ztbmTYMQ5WVlSktCAAA\nABiq+tRz/fjjj+vnP/+5gsFg8mOjRo3Syy+/nPLCAAAAgKGmT20hjz32mJ5//nlNmTJFL7/8sn76\n05/qkEMO6a/aAAAAgCGlT+G6uLhYo0eP1v77769PPvlE06ZN06ZNm/qrNgAAAGBI6VO4djgcevvt\nt7X//vtr9erVqq2tVUtLS3/VBgAAAAwpfQrXt912m1avXq3jjz9eTU1NOuuss/Stb31rj5/8kUce\n0fTp0zVt2jT94Q9/2OPjAAAAAINBr05oXL16tU488URNnDhRt9xyiyTpgQce2KsnXrt2rd5//309\n+eSTCgaDeuyxx/bqeAAAAEC69Wrl+je/+Y1OPvlk/c///I82b96ckides2aNJk6cqLlz5+qqq67S\nSSedlJLjAgAAAOnSq5Xr3//+96qqqtKqVas0Z84cFRYW6oILLtBZZ50lh8OxR0/c2NiorVu36uGH\nH1ZlZaXmzJmjl156SSaTaY+OBwAAAKRbr/e5HjFihGbPnq3Zs2drw4YNev755/Xoo4/qyCOP1J13\n3tnnJy4oKFB5eblyc3NVXl4um82mhoYGFRcX7/QxXq+3z88z1DHm7MCYAQDIDH26iEyHCRMm6NBD\nD9XWrVv13nvv7dETV1RU6Pe//72+853vqKamRsFgUAUFBbt9TDbxer2MOQsw5uzAHxMAkB16Ha5j\nsZjeeOMNvfDCC3rnnXd00kkn6fvf/74OP/zwPXrik08+We+++64uvPBCGYahBQsWyGJVgoAPAAAg\nAElEQVSx7NGxAAAAgMGgV+F6wYIFevnllzVhwgRNmzZNP/3pT2W32/f6yW+66aa9PgYAAAAwWPQq\nXBcXF2vFihUaPXp0f9cDAAAADFm9Ctc//OEP+7sOAAAAYMjr0xUaAQAAAOwc4RoAAABIkT5txfer\nX/2q232TySS73a5x48ZxhUUAAABkvT6tXH/55Zd644035PF45PF49NZbb+ndd9/VihUrdM899/RX\njQAAAMCQ0KeV602bNumJJ55Qbm6uJGnGjBmaOXOmli9frnPOOYet9QAAAJDV+rRy3dLSomg0mrwf\niUQUCAQkSYZhpLYyAAAAYIjp08r1ZZddpgsuuEAnnXSS4vG4Xn/9dX3rW9/Sb3/7W02cOLG/agQA\nAACGhD6F61mzZunoo4/WW2+9JYvFol/+8peaMGGCvvjiC1166aX9VSMAAAAwJPQpXBuGIa/XK6/X\nq1gspng8rnHjxmm//fbrp/IAAACAoaNP4fqee+7R5s2bdcEFF8gwDK1cuVKVlZW69dZb+6s+AAAA\nYMjoU7h+88039dxzz8lsTpwHedJJJ2nq1Kn9UhgAAAAw1PRpt5BYLNZtt5BYLCaLxZLyogAAAICh\nqE8r11OnTtWsWbP0zW9+U5L0pz/9KXkbAJD56uvrNW3aND322GMaN25cussBgEGnT+H6qquu0te+\n9jW9/fbbMgxDV111FZc9B4AsEYlEtGDBAtnt9nSXAgCDVp/CtSSdeOKJOvHEE5P3Fy5cqIULF6ay\nJgDAILR48WLNmDFDjz76aLpLAYBBq8/henurVq0iXANAhlu5cqWKiop0/PHH9zpce73efq5q8GHM\n2YExY1f2Olxz2XMAyHzPPPOMTCaT3nrrLX344Ye6+eab9dBDD6m0tHSnj6moqBjACtPP6/Uy5izA\nmLPD3vwxsdfh2mQy7e0hAACD3BNPPJG8PXPmTC1cuHCXwRoAslWvwvXMmTN7DNGGYaitrS3lRQEA\nAABDUa/C9dVXX93fdQAAhohly5aluwQAGLR6Fa6POuqo/q4DAAAAGPL6dIXG/lBfX68TTzxRn332\nWbpLAQAAAPZKWsM1FyQAAABAJklruO64IEFZWVk6ywAAAABSIm3huusFCQAAAIBMsNf7XO+pPbkg\nQTZeHYgxZwfGDABAZkhbuN6TCxJk49WBGHPmY8zZgT8mACA7pH23EAAAACBTpG3luisuSAAAAIBM\nwMo1AAAAkCKEawAAACBFCNcAAABAihCuAQAAgBQhXAMAAAApQrgGAAAAUoRwDQAAAKQI4RoAAABI\nEcI1AAAAkCKEawAAACBFCNcAAABAihCuAQAAgBQhXAMAAAApQrgGAAAAUoRwDQAAAKQI4RoAAABI\nEcI1AAAAkCKEawAAACBFCNcAAABAiljTXQAAYPCLRCKaP3++tmzZonA4rDlz5ujUU09Nd1kAMOgQ\nrgEAu7Vq1SoVFBTo3nvvVVNTk8477zzCNQD0gHANANitM888U5MnT5YkGYYhi8WS5ooAYHAiXAMA\ndsvlckmSfD6frrnmGl177bW7fYzX6+3vsgYdxpwdGDN2hXANAOiVqqoqzZ07V5deeqmmTp2626+v\nqKgYgKoGD6/Xy5izAGPODnvzx0TawjUnxwDA0FFXV6crrrhCCxYs0LHHHpvucgBg0EpbuObkGAAY\nOh5++GG1tLTowQcf1IMPPihJWrp0qex2e5orA4DBJW3hmpNjAGDouO2223TbbbeluwwAGPTSFq45\nOaZ3GHN2YMwAAGSGtJ7QyMkxu5atJxAw5syXrWMGAGS+tIVrTo4BAABApjGn64m7nhwzc+ZMzZw5\nU6FQKF3lAAAAAHstbSvXnBwDAACATJO2lWsAAAAg0xCuAQAAgBQhXAMAAAApQrgGAAAAUoRwDQAA\nAKQI4RoAAABIEcI1AAAAkCKEawAAACBFCNcAAABAihCuAQAAgBQhXAMAAAApQrgGAAAAUoRwDQAA\nAKQI4RoAAABIEcI1AAAAkCKEawAAACBFCNcAAABAihCuAQAAgBQhXAMAAAApQrgGAAAAUoRwDQAA\nAKQI4RoAAABIEcI1AAAAkCLWdD1xPB7XwoUL9fHHHys3N1eLFi3Svvvum65yAAC7wJwNAL2TtpXr\nV155ReFwWMuXL9cNN9ygn/3sZ+kqBQCwG8zZANA7aQvXXq9Xxx9/vCTpsMMO08aNG9NVCgBgN5iz\nAaB30haufT6f3G538r7FYlE0Gk1XOQCAXWDOBoDeSVvPtdvtlt/vT96Px+OyWnddjtfr7e+yBh3G\nnB0YMwY75uzeYczZgTFjV9IWro844gitXr1aU6ZM0bp16zRx4sRdfn1FRcUAVQYA2B5zNgD0jskw\nDCMdT9xx5vknn3wiwzB01113ady4cekoBQCwG8zZANA7aQvXAAAAQKbhIjIAAABAihCuAQAAgBQh\nXAMAAAApkrbdQnorWy65G4lENH/+fG3ZskXhcFhz5szR+PHjNW/ePJlMJk2YMEF33HGHzObM+nuo\nvr5e06ZN02OPPSar1fr/2bvz+CjLe+/jn8xM9pWEJKwBAgRIIiJBKyqCqMUFFEUNi+Bz9FShWFrq\nUquA2GKV5Ty2aqnV57T2WCsi5Vg4BbUKHhQVIUIgYREhBBJCErLPZJntfv6YZEiEJCzZ832/Xnll\n7mXu+3dhvOaXK7/7urp8ewH++Mc/smXLFhwOBzNmzOCqq67qsu12OBw89dRT5ObmYjKZ+PWvf92l\n/zunp6ezatUq3nrrLbKzs8/ZzrVr17JmzRosFgvz5s3jhhtuaO+wW5T67K75s11fd+u3u1OfDeq3\nW6TfNjq4Dz/80PjFL35hGIZh7N6925g7d247R9Q61q1bZyxbtswwDMMoKSkxxo8fbzzyyCPGV199\nZRiGYSxevNj46KOP2jPEFme3240f//jHxg9/+EPju+++6/LtNQzD+Oqrr4xHHnnEcLlchtVqNV5+\n+eUu3e5//etfxoIFCwzDMIzPP//cePTRR7tse19//XVj8uTJxr333msYhnHOdhYUFBiTJ082ampq\njPLycu/rrkR9dtf72a6vu/Xb3a3PNgz12y3Rb3f4Xzu6y5K7t9xyCz/96U8BMAwDs9lMZmYmV111\nFQDXX389X3zxRXuG2OKWL1/O9OnTiYmJAejy7QX4/PPPSUhIYP78+cydO5cJEyZ06XYPGjQIl8uF\n2+3GarVisVi6bHvj4uJ45ZVXvNvnaufevXu54oor8PPzIzQ0lLi4OA4ePNheIbcK9dld72e7vu7W\nb3e3PhvUb7dEv93hk+vusuRucHAwISEhWK1WFixYwM9+9jMMw8DHx8d7vKKiop2jbDnr168nMjLS\n+yEMdOn21ikpKSEjI4Pf/e53PPfcczz++ONdut1BQUHk5uZy6623snjxYmbPnt1l2ztp0qQGKxae\nq51Wq5XQ0FDvOcHBwVit1jaPtTWpz+56P9t1umO/3d36bFC/3RL9doevub6YJXc7q7y8PObPn8/M\nmTOZMmUKK1eu9B6z2WyEhYW1Y3Qt6+9//zs+Pj58+eWXHDhwgF/84hcUFxd7j3e19taJiIggPj4e\nPz8/4uPj8ff359SpU97jXa3db775Jtdddx2PPfYYeXl5PPDAAzgcDu/xrtbe+urXI9a18/v9mc1m\na9BpdwXqsz264s92d+y3u1ufDeq361xKv93hR65Hjx7Ntm3bAM5ryd3O6vTp0zz44IM88cQT3HPP\nPQAkJiayY8cOALZt28aYMWPaM8QW9fbbb/PXv/6Vt956ixEjRrB8+XKuv/76LtveOikpKXz22WcY\nhkF+fj5VVVWMHTu2y7Y7LCzM2wmFh4fjdDq79M91fedq58iRI0lLS6OmpoaKigqOHDnS5fo09dld\n92e7O/bb3a3PBvXbLdFvd/gVGrvLkrvLli1j8+bNxMfHe/c988wzLFu2DIfDQXx8PMuWLcNsNrdj\nlK1j9uzZLF26FJPJxOLFi7t8e1esWMGOHTswDIOFCxfSr1+/Lttum83G008/TWFhIQ6Hgzlz5pCc\nnNxl25uTk8PPf/5z1q5dS1ZW1jnbuXbtWt59910Mw+CRRx5h0qRJ7R12i1Kf3fX7bOhe/XZ36rNB\n/XZL9NsdPrkWEREREeksOnxZiIiIiIhIZ6HkWkRERESkhSi5FhERERFpIUquRURERERaiJJrERER\nEZEWouRaRERERKSFKLkWEREREWkhSq5FRERERFqIkmsRERERkRai5FpazDvvvMMdd9zBbbfdxu23\n384TTzzByZMnz+u9ixYtIiMj46LvXVFRwZw5cy76/Rdi06ZN3HnnnQ32TZ8+nXHjxlF/wdOHH36Y\nt99++4KuPXHiRPbt29cicYqIALhcLv785z9z9913c+edd3LbbbexcuVK7Hb7RV/zk08+YdmyZQB8\n+umn/O53v2v2PbNnz+aDDz5o9PjmzZu59957ueWWW5gyZQrz58/n0KFD5xXPq6++yscff3x+wTfi\nwQcfpLi4+Kz9O3bsYOTIkdx5553er5tuuom5c+dSUlLS7HXrf74988wzfPHFF5cUp3R8Sq6lRSxf\nvpyPPvqIP/7xj2zatImNGzdy7bXXkpqayqlTp5p9/xdffNEgMb1QZWVlbZaUXnvttRw5coTS0lIA\niouLKSgoICoqyhuDw+Fg586dTJgwoU1iEhFpzNKlS9m9ezd/+ctf+Mc//sG6devIysrimWeeuehr\n3njjjSxatAiAffv2UVZWdkkx/vWvf+X111/nhRde4IMPPmDjxo3cd999PPjggxw4cKDZ9+/YsQOn\n03lJMWzfvr3RY3FxcfzjH//wfn344YeYTCb+9Kc/NXvd+p9vzz//PNdcc80lxSkdn5JruWSnTp1i\nzZo1/Pa3v6V3794AmEwmpk6dyqRJk/jjH/8InD0qW7f90ksvUVBQwOOPP056ejqzZ89m6dKl3HPP\nPdx44428/PLLAOTk5HDFFVd4319/+5e//CXV1dXceeeduFyuBvE99dRT/PKXv+S+++7jpptu4tln\nn8XhcABw5MgRHnzwQe+Izrp16wBPR33HHXcwffp07rjjjgYjPOHh4SQnJ7Nr1y7AM2pz7bXXMmHC\nBLZs2QLA3r176du3L3379sXhcPDrX/+a2267jSlTpvDMM89gtVq9/wY/+9nPuPXWW/nXv/7lvYfN\nZmPWrFmsXLkSgPz8fObPn8/dd9/NlClTeO2117z/BuPHj+fBBx9k0qRJFBQUXPx/SBHpck6cOMHG\njRv5zW9+Q2hoKABBQUE899xz3HzzzQBkZWXxb//2b6SmpnLDDTcwb948ampqAEhMTGT58uXcfffd\n3HLLLXz00UcArF+/nkceeYT09HTWrFnDpk2beOmll6isrOTJJ5/kvvvuY9KkSdx9990cPXq0yRjt\ndjsvvfQSq1atYsiQId7948eP50c/+hEvvfQScPbId93222+/TUZGBitWrOBf//pXk33+sGHDGoxO\n123/8pe/BOCBBx4gLy+v2X9Xq9VKcXEx4eHhAOzZs4dZs2Zx7733MmHCBJ5++mmAc36+1bXh448/\nZurUqUyZMoUZM2awd+/eZu8rnYOSa7lk6enpxMfHezuZ+q655hrS0tKafP/ChQuJiYlh1apVXH75\n5QCcPHmSd955h//+7/9m06ZNbN26tclrvPDCCwQEBPCPf/wDs9l81vGDBw/y5z//mU2bNnHkyBHe\nffddnE4nCxYs4LHHHmP9+vX89a9/5U9/+hN79uwB4PDhw/zHf/wHGzZswM/Pr8H1rr/+enbs2AHA\n1q1bmTBhQoPk+ssvv2T8+PEA/OEPf6CgoMA74uF2u1mxYoX3WkOHDmXz5s3eDzqr1cpDDz3E+PHj\neeKJJwB44oknmDZtGuvXr2fdunV88cUXbNq0CfD8cvPjH/+YDz/8kJiYmCb/nUSke9m/fz9Dhgwh\nJCSkwf7o6Gh++MMfArB27VqmTp3Ku+++y0cffUROTg6ffvop4CkpCQ8PZ/369fz2t7/l6aefbpCc\nXn755UyfPp3bbruNhQsXsm3bNsLCwli7di0ffvghycnJzZbHffvtt/j6+jJ48OCzjo0dO7bZz5BZ\ns2aRnJzMk08+6e1Hz9XnN+WFF14A4C9/+Yt3kKi+48ePc+eddzJ58mTGjh3L//k//4eJEyfywAMP\nAPBf//VfLFiwgPfee49//vOfbNmyhYyMjHN+voFnYOfZZ5/llVdeYePGjSxYsIAf//jH3oEX6dws\n7R2AdA2N/TnObrfj4+NzwddLTU3F19cXX19fbrnlFj7//HOGDh160fHdddddBAcHA3DnnXfyySef\ncPXVV3P8+HHvCANAdXU1+/fvZ/DgwfTu3Zu+ffue83rXX389zzzzDHa7nV27drFixQr8/f05ffo0\np0+fZseOHSxYsACAbdu2sXDhQnx9fQHPaMv8+fO91xozZkyDaz/xxBNYLBZvDXllZSU7d+6krKzM\nW9dYWVnJwYMHGTlyJBaLhVGjRl30v42IdF0mkwm3293kOU888QTbt2/njTfe4NixYxQUFFBZWek9\nfv/99wMwfPhwEhIS2LlzZ6PXuuWWW+jfvz9vvfUW2dnZfP311w3+4tiYlv4MOVefX9eOi1FXFgLw\n97//nZdeeokbb7zR26+/+OKLbNu2jddee42jR49SXV3d4N/w+7766iuuvvpq+vfvD3h+iYiMjCQj\nI4Orr776ouOUjkHJtVyyUaNGkZ2dTWFhIdHR0Q2O7dixo0HHWr+uuqmHaSyWMz+ahmFgMpnw8fFp\n8P66P/Odj/qj2XXXc7lchIWFeTtMgNOnTxMaGsqePXsICgpq9HpJSUkUFRXx8ccfk5ycTGBgIADj\nxo1j+/btHD161Nvu73+wud3uBrF//z7z5s1jx44drFy5ksWLF+N2uzEMgzVr1njvU1xcjL+/PyUl\nJfj5+TX49xIRqTNy5EiOHj2K1WptMHqdn5/P4sWLefnll3nqqadwuVzceuutTJgwgby8vAZ9bf3+\n0+12n/Ovg3X+9re/sXbtWmbNmsWUKVOIiIggJyenwTnvvPMOa9asASA5OZklS5YAcODAAUaMGNHg\n3KY+Q5r6DDhXn/99F/tA57Rp00hPT+fnP/85f//737FYLMyaNYvhw4czbtw4br31VtLT05t8juhc\nxwzDuOS6cekYVBYilyw2NpbZs2fz85//nPz8fO/+v//973z00Uf86Ec/AvD+Vg6e+rTCwkLvuWaz\nuUGnsmHDBtxuN2VlZWzevJmJEycSFhaGw+Hgu+++A2hQo2yxWHC5XI12Zps3b8Zut1NTU8N///d/\nc8MNNzBo0CD8/f29yXVeXh6TJ08+r1lLfHx8uPbaa3nttdcaPLQ4YcIE/vSnP3HVVVd5E95x48ax\nZs0aHA4Hbrebt99+m2uvvbbRa48cOZKlS5fywQcf8PnnnxMSEsKoUaP485//DEB5eTkzZszgk08+\naTZOEeneYmNjmTJlCk8//bS35MBqtbJ06VIiIiIICAjg888/Z/78+dx22234+PiQnp7e4NmV999/\nH4DMzEyysrK48sorG9yjfv/9+eefc9ddd3HvvfcyaNAgtmzZctZzMDNmzPCWyT3//PP4+/vz+OOP\n8+STT3LkyBHveZ9++in/+Z//yU9/+lOg4WfI8ePHG8wk8v3PkHP1+XXXqHv2p/5nyLmu0ZTHHnuM\ngoIC/vrXv1JWVkZGRgaPP/44P/zhD8nPz+f48ePegZVzXffqq69m+/btnDhxAvCUEubl5TUoHZHO\nS8Nd0iIee+wx3nvvPebNm4fdbsdut3PZZZexZs0ab2nF448/ztKlS3n33XdJSkoiKSnJ+/6bbrqJ\nhQsXeqd2qq6u5p577sFmszFz5kzGjh0LeP58+aMf/YjIyEhuueUW7/ujo6NJTEzk1ltv5Z133qFH\njx4N4gsICGDmzJmUl5czadIkpk2bhslkYvXq1Tz//PP8v//3/3A6nfz0pz8lJSXFW0/dlOuvv573\n33/f22kDXHfddTzxxBP827/9m3ffvHnzWL58OVOnTsXpdDJy5EgWL17c5LUjIyN59tlnefrpp9m4\ncSOrVq3i17/+NVOmTMFutzN58mTuuOOOs0aERES+79lnn2X16tVMnz4ds9mM3W7npptu4ic/+Qng\nee5l/vz5hIeHExgYyJVXXsnx48e97//mm29Yu3Ytbrebl1566azna8aOHctPfvITfH19efDBB1my\nZAnr16/HbDaTlJTEt99+22yM06dPp2fPnixatIjy8nKcTieDBg3iT3/6k3c0e968eTz11FP87//+\nL/Hx8Q1K6m644QaWL1/uHc0+V58PnmnxfvWrXxEWFsY111zT4K+tN998MzNnzmT16tUkJCQ0GW94\neDiPP/44L7zwApMnT+bhhx/mrrvuIiIigh49ejB69Giys7MZO3bsWZ9vAEOGDOHZZ5/l0UcfxeVy\nERAQwGuvveZ96FQ6Nx/jUuY/E2kFs2fPZtasWQ2S50vx1FNPMXToUB566KEWuZ6ISHcxbNgwvvzy\nSyIjI9s7lPOmPl/am8pCRERERERaiEauRURERERaiEauRURERERaiJJrEREREZEWouRaRES86pZo\n/r69e/cyc+ZMZsyYwYIFC7zLY4uISEOdZiq+5pY/FRHp6FJSUto7hCa98cYbbNiwwbtYUR3DMLwL\njgwYMID33nuP3Nxc4uPjG72W+mwR6ewuts/uNMk1dPwPppaWlpamNncDanP30BmSzbi4OF555RWe\nfPLJBvuzsrKIiIjgzTff5PDhw4wfP77JxLrO6s1FrRVqh1Rjt+Pv59feYbQptbl76I5t/vGtURf9\n3k6VXIuISOuZNGnSORcmKikpYffu3SxZsoS4uDjmzp1LcnKyd3GnxlzKh5OISHMMw8CNG5fhxm24\nva8Nw8BF7b56+92157u//5rabcONGwPDcANKrkVEOpwyaw37s4o4nl/BkB7Nn99RRUREMGDAAAYP\nHgzAuHHjyMjIaDa57o5/nVCbu76u3mbDMHAZbpwuBw63E4fbye70PQxPHI7D5cTpPvPlcDtxul31\n9rtwuh21350Nv7uc595fey2X4TpznuHC5XbjqjtuuHC5XbXbLu+223C32r/D5eHDL/q9Sq5FRFqA\nYRicKqpkf1YR+7OKyTxaRG6hFXDj41/Ns9OaXk65I+vfvz82m43s7GwGDBjArl27uOeee9o7LJEu\nyzAMHG4ndpcdu8uB3Vn73eWo3ec55nA7sDsdnu+1xx0up3fbUXeey4nd7cBZe8zhcuKoS57P+u7E\n4BxLoGS3TdvNJjMWkwWLj8n72mwy42fxxWIyY679svjUe20yY/YxYzKZGu6ve117LXPteWf2mbzb\nJh+T9zpmkwlOX3wblFyLiFwEl8tN1slybzK9P6uIkooa8HFjCi7Dv0cZPa8op8a3ECcOoPMl1xs3\nbqSyspLU1FSef/55HnvsMQzD4IorrmDChAntHZ5Iu3G6nFQ7a6h21VDjtFPtrKHGWUO1047d5dn2\nfLd7v9c4a6hx2b2Jct3rGpfnqy6JrqlNhs+Z4LYQX7MvfiYLltrvgb4BhPmH4muy4Gv2fFlMvvia\nLFjMFspLyoiNjvVu+5osWExmfM2+nkS4Ngn2HK/3ujYxrjv/zOsz+8319pt8TPj4+LRauy9E2umL\nf05GybWIyHmornHy7YkS76j0oexiqmpc4OPCFFJGcM9yYoaVUWk+jctwAGAD+oTGkhTTeRLrfv36\nsXbtWgCmTJni3T927FjWrVvXXmGJXDS34abGaafKWU2Vw/NV7aymyllz5rWjhmpnDVXOak/S7Kj9\n7jyTPHu+PO93f9cyia/Jx4S/2Q8/sy9+Fj/CA8LwM/vib/Hs8zX74W/2xc/sh6/Zgl/dubX7/MwW\nfE2++FlqzzH5eo97kmRf/Ey+WMwWz36TL2aT+YIT2K5eCtPSlFyLiJxDaUUNB46dGZU+klOGy22A\nyYUpuJSIAVbCI0qx+hR4agWBCqB/WB8So4cyInooidFDiAgMBzrHbCEiHY3T7aLSUUWlvRKbo8rz\n2lFFpf3M6ypHtee1s5oqRxWVjjNJdKWzimpHzSWNAvub/fC3+BFoCaBnUCSOGgdR4ZH4W/wJMPsR\nYPHH3+KPv6X2de35/hY//M3+BFj8PMdrE+P6ry8m0ZWOr9WSa4fDwdNPP01ubi52u5158+Zx4403\neo+/+eabvPfee0RGRgLw3HPPndfUTiIiLa1+vXTmUU9C7amXBkxOLGGl9BxeiSmshHIjH7fhpgqo\nxocB4X1JjB5KYkwCw6OHEOYf0q5tEeloHC4HNnslVu+XrXbbhs3h2WerTZ5t9kpvIm1zVFHjvPDF\nisw+JoJ8Awn0DSAmuCdBvgEEWAII9A0g0BJAoMXf89q7359Ai+d1QO2xgLpk2eyPydRwvT2N4kpz\nWi253rBhAxEREaxcuZLS0lKmTp3aILnOyMhg+fLlJCcnt1YIIiLn5HK5ycqrrZc+Wq9eGsDkJDCy\nnL4jbRjBRZS5CnDjphzwMXyIj4hjRMxQEqOHMjx6MCF+we3aFpG2YhgG1c4aKmqslNdYqbBbyaw4\nzKlDpVTYbVhrbJTbrVhrbFjtNs8+e+UFJcg+Pj4E+QYS4htEn9AYgnwDCfYLIsg30PO69vuZ/QEE\n1m4H+gYQZAnA1+yr0WBpV62WXN9yyy1MmjQJ8PwPaTabGxzPzMzk9ddfp7CwkAkTJvDII4+0Vigi\n0s1V2518e/wc9dIAZgfhMVYGDrXhDDxNicOTTBcDJreJwZFxJMYkkBgzlGE9BxPkG9jkvUQ6k2pH\nNWU1FZRVV3i/l9dUUF67XVFj82zXWKmoseJwO8++SP7ZuwIs/oT6BdMnJIYQ/yBC/EII9gsixPsV\nTLBfEMG+nu3g2q8Aiz8mH9PZFxTpRFotuQ4O9ozmWK1WFixYwM9+9rMGx2+//YDaXKcAACAASURB\nVHZmzpxJSEgIjz76KFu3buWGG25orXBEpBvxzC9dXDuTR716aQCzg5j+VfSNqaDGr5Aiez52DPIB\ns8vM0KiBZ5LpqHgCfAPatS0iF8ruclBaVUZpdXntV+3rqnJKayooqyqjtDaBrnHZm71egMWfMP8Q\nBkT0I9Q/hFC/YML8QwgLCKUo7zSXJSQR4hdMqH8woX7BhPgFYzHrkS7pvlr1pz8vL4/58+czc+bM\nBk+dG4bBAw88QGhoKADjx49n//79zSbX3fGBILW5e1CbL55hGJRYXRwvrOF4oZ3jhTWcLj8zumay\n2OnZt4KAqBLs/kWUGSVU4Hn40Gw30S8glv6Bvekf2Iu+AZ6ppnCAM7eKzNzMFolRpCU4XU5Kqsso\nriqlpOrM95KqMkqqSympKqekqhSbo6rJ65hNZsL9Q+kTFktEQBhh/qGEB4QR7h9KmH8I4QGhhPmH\nEhYQQph/KH5m30avlVaZRkq/US3dVJFOrdWS69OnT/Pggw+yZMmSs1bxslqtTJ48mU2bNhEUFMSO\nHTuYNm1as9fsbg8QdMeHJtTm7uFS2txkvTQQGORicJKdwMgyKkx5FFTle5NpXx8LSdEJtTN5DCUh\nahB+Fr+WaVQzuuMvUHL+nC4nRVUlFFWWcLqyhOKqUk5XFlNcWUpxVSlFVaWUVZc3eY0Qv2AiAyOI\njxxAj4BwIgLDiAgIJyIgrMFXsF+QapJFWlGrJdevvfYa5eXlrF69mtWrVwNw7733UlVVRWpqKgsX\nLmTOnDn4+fkxduxYxo8f31qhiEgnVr9eev/RIg7Wr5cGevSApCvs+EaUUGbkcaryFCcBajwLJSTF\nJJAUk0BidAJDogY2OQon0lps9koKbcWcriyi0FZMYWUxp23FnK70fJVVVzQ6XZyv2ZeowAj6Rg8l\nMjCCyKAIz/fACHoEhtcm0uH62RbpIFotuV60aBGLFi1q9PjUqVOZOnVqa91eRDqpJuulgT69fBkx\nwI45tJgiVy55tlMcBbCBn9mXy2KHMSI6gaSYoQyJHIivEg5pA3anndP2Er45uY8CWxH51tMU2E5T\naCuiwFZEZSOlGmaTmZ6BPRgRPYSeQZH0DO5BVGAkUUE9iKpNokP8gjXSLNKJ6IkDEWk39eeXrpvJ\nwzu/NGA2+TAoLoCe/SohpJhC+wlOWk9RYgDldcn08NqRaU8yrQeppLXY7JWcshZyylrAqYpC8q2n\nybcVcspaSElVmeek4w3f42/2Izo4imE9BxMdHEl0UBTRwZH0DIokOjiK8IBQzY4h0sXoU0hE2kxd\nvfRXhyr4V+ZODmQVUVxer17a38xlw0KJ6luJK7CQvOoT5FbkkWsHij2JyplkOoEhkQOUTEuLqnHa\nyasoIM+aT15FAScr8jlVUUietYCKGutZ5/v4+NAzKJLkmGGYqg2SBowgJiSKmOCexARHEeYfqlFn\nkW5Gn0oi0mrq6qUzax88bDC/NGVEhvlz9eWRRPSyYQ8oIMeWzXflJ/nOClgbjkwnxSQwuIeSabl0\nhmFQVl1OTvkpTlacIrc83/v9dGXxWeebfUzEBPdkSORAeodEExsSTe/QGGJDookOivT+TKalpZGS\n2L0eThaRs+lTSkRaTHP10v1iQhgyMIgan6OE9YNj5XtJLzsJJZ7jKvOQlmQYBiXVZeSU5XGi7CQ5\n5afIKc8jpzwPm73yrPMjAyNIjhlGn9BYeofG0Ds0lj6hMUQHR2E2mc9xBxGRs+lTS0Quyvfrpfdn\nFZFT0LBeenC/cIYODCYk2orNnMd3JfvYUZYLBnDCMwvCZbHDSIxOIClmmMo85KJVOao5UXaS7NJc\nsstyOFGbUFvttgbnmXxM9AqJJjF6KH3DetEvrDd9QmPpG9aLQC0YJCItQJ9iInJeXG6DrJNl3mT6\nXPXSoxKiSRgYQlBUOWU+Jzl0OoOtpTkYJzyj174mC0kxCfRwhnLzqPGazUMumGEYnK4s5lhpDsdK\nTniS6dIc8m2nG5zng483ie4f3of+4b3pF9ab3qEx+pkTkVal5FpEzuns+aVLqKo5s/JhZJg/113e\nhyEDQgjoUUaRK5cDhdv4n9LjGKWeZNpisjAiekhtzfQw7zzTaWlpjIge2l5Nk07Cbbg5ZS0kq+Q4\nWSUnar/nnDUaHeofQnLMMAZE9GNARF/iwvvQN6w3/m20QJCISH1KrkUEaL5eum90CEnxUSQMDMEv\nvJyT1dnsL9jCe/nHcZ9yA545e4dFxZMUM4ykmKEkRMW32QqI0jLS09NZtWoVb7311jmPL168mPDw\ncB5//PEWva9hGBTaiviuOJsjxcc4WnKcoyXHqXJUNzivV0g0yTHDGNijHwMj+jOwRz96BIRrRg4R\n6TCUXIt0Q+dTLz2kXwQjBkWSMDAM37AysiuOkVGwmy+yj+Fye2b8MPuYGBI50Dubx7CegzVa2Im9\n8cYbbNiwgcDAwHMeX7NmDd9++y1XXnnlJd/LZq/ku+JjHC7K4ruiY3xXfIzyelPd+eBDn9BYBvWJ\nY3CPOAb1iGNgj34E+Z47NhGRjkLJtUg3UDe/dFP10lckRJMYH8WwAWGYQso4XHKEzII0thw6isPt\nKQfx8fEhvkccSTHDSI5JYHjPwQToIbAuIy4ujldeeYUnn3zyrGPffPMN6enppKamcvTo0Qu6rmEY\nnKzI59Dpoxw6fYTDRVnklOc1OCc6KJKr+49mSORAhkQOYFCPOD1gKCKdkpJrkS7ofOqlr728D0mD\nohg2MBwjoIwDpw+TWbCLf+49Qo3LDnhGDwdG9POMTMcOY0TPIQT5aeSwq5o0aRI5OTln7S8oKOD3\nv/89r776Kps3bz7v663++E/kVOWTU51PtfvML3N+Pr4MCOxDn4BoegfE0Mc/mmBLkOegDapsFew/\nkXnJ7WkPaWlp7R1Cm1Obu4fu2OaLpeRapAuoXy99IKuY73JKz5pfOik+ihEDIxkxqAc1phIyC78l\no2An63YeblDX2j+sN0mxw0iOGUZi9FBC/IPbo0nSgXzwwQeUlJTw8MMPU1hYSHV1NfHx8dx9991N\nvu/Top0ARAdHcWXPyxnWM56EqHjiwvtiMnW9Jb/T0tJISelei8iozd1Dd23zxVJyLdLJfL9eOvNo\nEbmFZ88vnTgoisRBUYwY2AOrUUJG/iF2F+zg7c8ON5htoXdIDNf2H0Ny7DASYxKICAhrj2ZJBzZn\nzhzmzJkDwPr16zl69GiziTXAz8b+O8N7DiYyKKK1QxQR6TCUXIt0cOczv/QVCdGMGBRFUnwkCXE9\nKLeXklFwiJ35X/PnLYcorS73nt8zKJIxfUaSFJNAcuwwooJ6tEezpBPYuHEjlZWVpKamXtT7r4nr\nXiNdIiKg5Fqkw6m2Ozl8vJTMrKJz1kv3CPXUSycOiiRxUBSDeodRYa8go+AQX+R/zR8PHqLQVuQ9\nPzwgjGvjxpAcM4yk2GHEBvfUtGXSqH79+rF27VoApkyZctbx8xmxFhHpzpRci7QzW7WLrzLyyDza\neL30iIGRJMVHkRQfRWxkEDZHJfsLDrMtfxer9x1qMPNCsG8gV/a9nMtih5McM4y+Yb2UTIuIiLQR\nJdcibcgwDPKLPfXSmUfrzy/tSY7rzy/tqZmOJDzEn2pnDQcLj/BxThoZaQfJKjmBgScB9zf7MapX\nIsmxw0iOGc7AiH5d8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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "0.01 is the labor force growth rate\n", "0.01 is the efficiency of labor growth rate\n", "0.03 is the depreciation rate\n", "0.25 is the savings rate\n", "0.5 is the decreasing-returns-to-scale parameter\n" ] } ], "source": [ "# Now, from the s = 0.20 BGP, what happens if we suddenly jump s to 0.25\n", "# and keep it there?\n", "#\n", "# This happens:\n", "\n", "log_sgm_bgp_100yr_run(1000, 1, 16000, n=0.01, g=0.01, s=0.25, \n", " alpha=0.5, delta=0.03)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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rr5vWFxcXx4IFC7C1tWX+/Pm8++67FtsTJSIPrqFDh2Jt/efoWjc3N7755hvm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Yt//etfrF69mvnz57Nw4UIxuVQQrkLdvXq2Hihm64EierRGPF1suH9OGBMjPC7a+2KS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iIh5BM1v6Mt1ZF7kM/v7+/OEPf+Cxxx6jvb2doKAgnnjiCUJDQ/nhD3/ID37wAwICAkhNTaW5\nuZm2travvT45OZmkpCQWLFhA//79SUpKYvr06SZ1IyLi3jSzpS/TbjAiIiIiIi5Ky2BERERERFyU\nwrqIiIiIiItSWBcRERERcVEK6yIiIiIiLkphXURERETERSmsi4iIiIi4KIV1EREREREXpbAuIiIi\nIuKi/g/pVCQYGOSSEwAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "0.01 is the labor force growth rate\n", "0.01 is the efficiency of labor growth rate\n", "0.03 is the depreciation rate\n", "0.25 is the savings rate\n", "0.5 is the decreasing-returns-to-scale parameter\n" ] } ], "source": [ "# in levels:\n", "\n", "sgm_bgp_100yr_run(1000, 1, 16000, n=0.01, g=0.01, \n", " s=0.25, alpha=0.5, delta=0.03)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "4.0 = KoverYstarinitial\n", "130000.83276164823 = YoverLstarinitial\n" ] } ], "source": [ "# in the U.S. today:\n", "\n", "n = 0.01\n", "g = 0.015\n", "delta = 0.03\n", "\n", "sinitial = 0.22\n", "alpha = 0.333\n", " \n", "KoverYstarinitial = sinitial/(n + g + delta)\n", "\n", "E = 65068\n", "\n", "YoverLstarinitial = KoverYstarinitial**(alpha/(1-alpha)) * E\n", "\n", "print(KoverYstarinitial, \"= KoverYstarinitial\")\n", "print(YoverLstarinitial, \"= YoverLstarinitial\")" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "4.254545454545455 = KoverYstarfinal\n", "134067.23042795854 = YoverLstarfinal\n", "0.0308005374494 = long-run growth effect\n" ] } ], "source": [ "# a \"what if\"—if the tax \"reform\" were to boost the savings rate by\n", "# 1.4% points...\n", "\n", "n = 0.01\n", "g = 0.015\n", "delta = 0.03\n", "\n", "sfinal = 0.234\n", "alpha = 0.333\n", " \n", "KoverYstarfinal = sfinal/(n + g + delta)\n", "\n", "E = 65068\n", "\n", "YoverLstarfinal = KoverYstarfinal**(alpha/(1-alpha)) * E\n", "\n", "print(KoverYstarfinal, \"= KoverYstarfinal\")\n", "print(YoverLstarfinal, \"= YoverLstarfinal\")\n", "print(np.log(YoverLstarfinal/YoverLstarinitial), \"= long-run growth effect\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "----\n", "\n", " \n", "\n", "**Quoting the four Stanford economists (plus five others):**\n", "\n", "\"A\n", "\n", "" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.03 = convergence speed\n", "0.0 = growth over 0 years\n", "0.000886633993545 = growth over 1 years\n", "0.00174706399247 = growth over 2 years\n", "0.00258206444186 = growth over 3 years\n", "0.00339238689849 = growth over 4 years\n", "0.00417876070725 = growth over 5 years\n", "0.00494189365766 = growth over 6 years\n", "0.00568247262089 = growth over 7 years\n", "0.006401164168 = growth over 8 years\n", "0.00709861516989 = growth over 9 years\n", "0.00777545337955 = growth over 10 years\n" ] } ], "source": [ "# what is (1 - alpha)(n + g + delta) here?\n", "#\n", "# (1 - alpha) = 2/3\n", "# (n + g + delta) = .045\n", "\n", "convergence_speed = 2/3 * .045\n", "\n", "print(convergence_speed, \"= convergence speed\")\n", "\n", "for i in range(11):\n", " print(.03 - .03 * np.exp(-convergence_speed * i), \"= growth over\", i, \"years\")" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "4.254545454545455 = KoverYstarfinal\n", "129997.63636363637 = YoverLstarfinal\n", "0.0616935690053 = long-run growth effect\n" ] } ], "source": [ "# what if we raise alpha to the \"DeLong Summers\" value?\n", "#\n", "# note: Brad DeLong and Larry Summers do **not** believe\n", "# that the tax \"reform\" will raise the savings rate by \n", "# 1.34%: this is a \"what if\" exercise that, as far as I\n", "# know, is not the analytical position of anybody:\n", "\n", "n = 0.01\n", "g = 0.015\n", "delta = 0.03\n", "\n", "sinitial = 0.22\n", "sfinal = 0.234\n", "alpha = 0.5\n", "\n", "KoverYstarinitial = sinitial/(n + g + delta)\n", "KoverYstarfinal = sfinal/(n + g + delta)\n", "\n", "E = 30555\n", "\n", "YoverLstarfinal = KoverYstarfinal**(alpha/(1-alpha)) * E\n", "YoverLstarinitial = KoverYstarinitial**(alpha/(1-alpha)) * E\n", "\n", "print(KoverYstarfinal, \"= KoverYstarfinal\")\n", "print(YoverLstarfinal, \"= YoverLstarfinal\")\n", "print(np.log(YoverLstarfinal/YoverLstarinitial), \"= long-run growth effect\")" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "4.254545454545455 = KoverYstarfinal\n", "130005.45087954417 = YoverLstarfinal\n", "0.123572403984 = long-run growth effect\n" ] } ], "source": [ "# raising the alpha parameter even further...\n", "\n", "n = 0.01\n", "g = 0.015\n", "delta = 0.03\n", "\n", "sinitial = 0.22\n", "sfinal = 0.234\n", "alpha = 0.667\n", "\n", "KoverYstarinitial = sinitial/(n + g + delta)\n", "KoverYstarfinal = sfinal/(n + g + delta)\n", "\n", "E = 7151\n", "\n", "YoverLstarfinal = KoverYstarfinal**(alpha/(1-alpha)) * E\n", "YoverLstarinitial = KoverYstarinitial**(alpha/(1-alpha)) * E\n", "\n", "print(KoverYstarfinal, \"= KoverYstarfinal\")\n", "print(YoverLstarfinal, \"= YoverLstarfinal\")\n", "print(np.log(YoverLstarfinal/YoverLstarinitial), \"= long-run growth effect\")" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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75v3FxMTwxx9/YG9vz7x58xgxYoTV9kSJyKOrb9++2Nr+b3RthQoVmDhxIrNn\nz8bHx8fc837y5Elq1KjBSy+9xIQJE8zrv/POOzz77LP07t2b06dP06dPH1q2bGm+/fjx43z77bdM\nnz6dEiVKcPjwYV588UVWr14NwK5du1i0aBFubm68+uqrzJs3j8GDB+e73UWLFlG8eHE2b95MYGAg\ny5YtIyAgIFdQB5g8eTKJiYksXrwYOzs7PvzwQ7788ks+/fRTjhw5Ym7H7Vq2bBn16tXjv//9LyaT\nif/+978sXryY/v37A+Dk5MTChQs5e/YsnTt3pm7duiQlJfHTTz8xb948PDw8WLBgAYMGDWLZsmXA\ntc+YnP/Lo0lhXQqdIUOGsHXrVqZNm8bx48dJTEzkypUr5tt79uwJgLe3N9WqVWP37t1s2rSJrl27\n4uLiAsALL7zAlClTyMzMBKBRo0Y33N+NhsFERETQtGlTKlasCEBAQAAeHh7s378fgHr16mFvf+0l\num3bNjp16kSRIkWAa73/AG+++Sb79u2jW7duABiNRq5evXr3B0dE5C7dbBjMrVy8eJHo6Gi6d+8O\nQNmyZQkLC8u1ztatW0lMTKRfv37mZTY2Npw4cQIAf39/3NzcAKhVqxaXLl266XZ79+5NaGgogYGB\nzJs3j6FDh+apa9OmTbz99ts4ODgA0KdPHwYNGnRXbYRrX2h27drFr7/+yvHjxzl8+DB169Y13/78\n888D4OnpSfPmzQkPD+fMmTN06NDBfGy7du3KmDFjzOcDNGzY8K7rkYeDwroUOu+88w4Gg4Enn3yS\nVq1acfr0aUwmk/n2f/cMmUwm7O3tc90O10Jxdna2+e+cEH8nrt9mzrKc7f57mzmhPUdSUhJGoxGj\n0ciAAQPo1asXAJmZmVy6dOmOaxERsaSc9zgbGxvzsmPHjlGuXDnz30ajkYCAAHNnBcDp06cpU6YM\na9asMXdm5Gwn5/37Rtt95plnGDduHBEREVy5coXGjRvnqctoNOb5Oysr667b+dVXXxEVFUW3bt1o\n0qQJ2dnZd/z5k3Nbfp8V8mjSbDBS6GzZsoVBgwbRoUMHbGxs2Lt3LwaDwXz7woULAThw4ABxcXHU\nrVuX5s2bs2DBAnMP/IwZM2jcuDGOjo53XUfTpk3ZunUrJ0+eBCA8PJzTp0/n6mXJERAQwNKlS8nM\nzMRoNPLxxx+zbNkymjdvzp9//klqaioA3333Xb69QyIi1szNzY3atWuzaNEi4FoI79mzJykpKeZ1\nct4zjx6KPS3tAAAgAElEQVQ9CsDGjRvp2LEjGRkZd7VdZ2dnOnbsyPDhw8092tdr0aIFc+fOJSsr\nC6PRyKxZs2jWrNldt3PLli307duXzp07U7JkSbZt25bv58+pU6fYtm0bAQEBNG/enOXLl5tnl5k/\nfz7FixencuXKd12HPFzUsy6PrCtXruSZvnHu3Lm8/fbbDBo0iGLFiuHs7Ezjxo3NP6MCnDx5ks6d\nO2NjY8O4ceMoXrw4zz77LKdPn6Z79+4YjUYqV67M119/fU/1Va9enVGjRvH6669jMBgoUqQIU6ZM\nwd3dPc+6zz//PAkJCXTt2hWTyYS/vz99+vTB1taWs2fP0qNHD2xsbChbtixffPHFPdUlInI3rh+z\nDtd+yQwMDLyt+3/zzTd88sknzJgxAxsbG8aMGUPp0qXNt9eoUYNPP/2Ud955x9zrPHny5Fv2LN9s\nu127djWfx5SfgQMHMnbsWDp37kx2djZ+fn589NFHt9WeNm3a5Pp73LhxDBo0iC+//JJJkyZhZ2dH\ngwYNcn3+ZGRk0KVLF7KyshgxYgReXl54eXnRr18/+vbti9FoxMPDg6lTp+Y51vLosjHl9/uKiIiI\nyCPMZDIxbdo0EhIS+OSTTyxdjsgNqWddRERECp02bdrg4eHB5MmTLV2KyE2pZ11ERERExEppwJOI\niIiIiJVSWBcRERERsVKFdsx6ZGSkpUsQEblrhe1CKHrPFpGH3d2+bxfasA6F88NObX70FbY2F7b2\nQuENroXxcVabH31qc+FwL+/bGgYjIiIiImKlFNZFRERERKyUwrqIiIiIiJVSWBcReYgcib9o6RJE\nROQBUlgXEXkIpF7JZNL8vbwzfqOlSxERkdtkMpk4dS71nrZRqGeDERGxdkajiXW7TvDbsn+4lJpJ\nRU83S5ckIiK3wWAwMml+FKu3x/Fxrwp3vR2FdRERK3Uk/iJTFkRxKO4CTo529HuqFh1bViNq725L\nlyYiIjeRnpnNVzMi2fHPGapVKHZP21JYFxGxMilXMpmx4iArw49jMkGzuuV46Zk6lC7hbOnSRETk\nFi6nZfLpzxEcirtAPe/SDOvbmIMHou56ewrrIiJWwmA0sWZ7HNOXHyTlSiblS7vxaldf6nmXsXRp\nIiJyG84kp/HxtHASzqXRqkEFBj9XHwf7eztFVGFdRMQKRB8/z9SFURyJv4Szkx0vPl2bZ1pUvec3\neREReTCOnLzIJz9FcDE1g25B1XmhQy1sbW3uebsK6yIiFnT+cjq/L/uHdbtOAtCqQQX6PV2LksU0\n5EVE5GGx6+BZxk7fSUaWgVe7+PJU86oFtm2FdRERC8jKNrB40zFCww5xNcNA1fLFeKWLL7W8Slq6\nNBERuQMrtsUyZUEU9vZ2DOvrT4Bv2QLdvsK6iMgDZDKZ2PnPWX76az+nk9Jwd3HktWfrENykMnYF\n8HOpiIg8GEajienL/2H++iMUc3Pko/5N8KnsUeD7UVgXEXlA4s5c5qfF+9kTcw5bWxs6tqhKz2Af\n3FwcLV2aiIjcgYwsA+Pn/M2WvacoX9qVUQMCKFvK9b7sS2FdROQ+u5yWyZxV0SwPP47RaKKBTxle\n6libSo8VtXRpIiJyhy6mZPDZr9s5FHeB2lVLMryfP0Vd71+ni1WE9aysLIYPH05CQgKZmZkMHDiQ\nsmXL8sorr1ClShUAevbsSYcOHQgNDWXu3LnY29szcOBAgoKCSE9PZ8iQISQnJ+Pq6srYsWPx8Cj4\nnyFERO5EtsHI8q2xzF59iLSrWZQr5cqATnVo9LgnNjYa8iIi8rA5eTaFT36K4Oz5K7RqWIHBPerh\nYG93X/dpFWH9r7/+onjx4nz11VdcvHiRzp07M2jQIF588UX69+9vXu/cuXPMmDGD+fPnk5GRQa9e\nvWjWrBlz5szB29ubN954g2XLljFp0iRGjBhhwRaJSGGWMy79lyX7STiXhquzAwM61aHDE16ailFE\n5CG1+1AiY6fvJC09m17BPjwf7PNAOl6sIqyHhITQvn174NqHnJ2dHfv37yc2Npa1a9dSuXJlhg8f\nTlRUFPXr18fR0RFHR0cqVapEdHQ0kZGRDBgwAICWLVsyadIkSzZHRAqx2FOX+Pmv/ew9nIStrQ1P\nPlGF3u1rUszNydKliYjIXVq+LZapC/dha2PDu70b0qpBhQe2b6sI666u1wbkp6amMnjwYN566y0y\nMzPp3r07derUYfLkyUycOJGaNWvi7u6e636pqamkpqaal7u6upKSknJb+42MjCz4xlg5tblwKGxt\ntob2Xr5iYH3UJXYfuwJA9bJFCG5QjDLFsjlyaL+FqxMRkbthMBj56a/9LN0SSzE3Rz7s14THvR7s\nUGurCOsAp0+fZtCgQfTq1YtnnnmGy5cvU7TotZOv2rVrx+jRo2nUqBFpaWnm+6SlpeHu7o6bm5t5\neVpamvl+t9KwYcOCb4gVi4yMVJsLgcLWZku392pGNos2HGH+hiNkZBqo/Jg7/Z+pQ4OaZe7bPq3h\ny4mIyKMu9WoWX07fye6Yc1T0dGfkS014rOT9mfHlZqxi8GRSUhL9+/dnyJAhPPvsswC89NJLREVF\nARAeHk7t2rXx8/MjMjKSjIwMUlJSOHr0KN7e3jRo0ICNGzcCsGnTpkIVVETEMgxGE6si4njl/8KY\nvfoQzk72vN69Lt+9G3Rfg/qjJjk5mcDAQI4ePWrpUkREzE6dS+W97zaxO+YcjR735OvBLSwS1MFK\netanTJnC5cuXmTRpknm8+QcffMDnn3+Og4MDpUqVYvTo0bi5udGnTx969eqFyWTi7bffxsnJiZ49\ne/L+++/Ts2dPHBwc+OabbyzcIhF5VJlMJiKjE/lt6QHizqTg5GjHc+286dqqOi5FHCxd3kMlKyuL\nkSNHUqRIEUuXIiJitvtQImNn7CLtahZdWlWn71O1LHrROqsI6yNGjMh39pa5c+fmWdajRw969OiR\na5mzszPff//9fatPRATgyMmL/Lr0AFFHkrC1gXb+legdUpOSxZwtXdpDaezYsTz//PP8+OOPli5F\nRASTycSSLcf4+a8D2NrY8OZz9WnrX8nSZVlHWBcRsWank9KYueIgm/YkANCwZhn6PV2bKmV1UaO7\ntWDBAjw8PGjRooXCuohYXFa2gcnzo1iz4wTF3Z34sJ8/NatYxzV7FNZFRG7gUmoG88JiWLEtlmyD\niWoVivHiU7Wp613a0qU99ObPn4+NjQ3h4eEcPHiQ999/n8mTJ1O69I2PbWE8sVZtLhzUZsu6fMXA\nvM3JJCRnUtbDgedbliAtOZbI5FhLlwYorIuI5HE1I5tFG4+ycMNhrmYY8PRw4YUOj9O8bnlsLThu\n8VEya9Ys8//79OnDxx9/fNOgDprBqzBQmwsHa2pzdNx5vv9tB+cvZ9KqYQVe714PJ4eCvyLpvXw5\nUVgXEfn/srKNrIo4zrw1MVxMzaCYmyN9nqxFSEAVXXlUROQRszL8OFMXRmE0mnipY206taz2QK5I\neqcU1kWk0DMYTWzaHc+sldGcPX8FZyc7egb70DmwmmZ4eQBmzJhh6RJEpBDJyjYwdeE+VkXE4e7i\nwNA+jajnbb1T7iqsi0ihZTKZ2HHgDDNWHCTuTAr2drZ0bFGV7m28Ke7uZOnyRESkgCVdvMoXv+/k\n0IkLVC1XjOEv+uPp4WLpsm5KYV1ECqWoI+eYvvwgh+IuYGsDrRtVpFf7mlb/pi0iIncn6sg5vpyx\ni0up18anD3q2LkUcrT8KW3+FIiIF6FDceWasOMjew0kABPiW5T8hNan0mKZhFBF5FJlMJhZuOMrv\nyw5gY2PDK118eaqZl1WOT8+PwrqIFArHEi4xa2U0O/45A0ADnzL858ma1KhYwsKViYjI/ZJ2NYvv\n5u0mfN9pSrg78UHfxtTyKmnpsu6IwrqIPNJOnLnM7NWH2Lr3FAC1vDz4z5OP41utlIUrExGR++n4\n6cv83287OJWURp1qJRn6n0aUKFrE0mXdMYV1EXkknTqXypzVh9i4Ox6TCWpULM5/nnyc+t6lH5qf\nPkVE5O6E7TjB5AVRZGYZ6BZUnT5PPo6d3cM5Ba/Cuog8Us4kpzF3zSHWR8ZjNJrwKleUXu1r0qT2\nYwrpIiKPuIwsA1MXRLFmxwlci9jzXm9/AnzLWrqse6KwLiKPhDPJaYSGxbB210mMRhMVPd3p3b4m\nAb5lddVREZFCID4xhbHTd3H89GWqli/GsL6Neaykq6XLumcK6yLyULuQms2E0D2s3XkCg9FEhTJu\n9AquSbO65RTSRUQKiQ1/xzPxjz2kZxoICajCy53q4OhgZ+myCoTCuog8lMw96TvPYDRB+dJuPN/O\nmxb1K2CnkC4iUiikZ2bz0+L9rIqIw9nJnqH/aUSL+uUtXVaBUlgXkYfKqaRU/gg7zLrIa8NdSha1\np98zdWlRr7xCuohIIXLizGXGztjFiTMpVC1XjPdfaES50m6WLqvAKayLyEMhPjGFP9YeZsPf8f9/\nTLobz7X1wcVwhsYNKli6PBEReUBMJhNhO04wZeE+MrMMPNXMi/7P1H5khr1cT2FdRKxa3OnLhK6N\nYcueBIwmqPyYO8+19eGJuuWws7UhMvKspUsUEZEHJO1qFpP+3MumPQm4FrHn3V6NecKvnKXLuq8U\n1kXEKh2Jv0hoWAzh+04DULVcMZ5r503TOprdRUSkMIqOO89XMyNJPH+Fx6t48G7vhnh6uFi6rPtO\nYV1ErMqBY8mEro3h7+hEAHwqleC5dt40etxT86SLiBRCBqOJP9fFMHvVIUwmE8+19aZnsM9De5Gj\nO6WwLiIWZzKZ2H3oHKFrYzhwLBmAOtVK0qONN/V0xVERkULr3IWrfDM7kgPHkilZrAjv9mqIb/VS\nli7rgVJYFxGLMRhNROw7zR/rYjgafwmABjXL0KONN7WrlrRwdSIiYkmb9yQw8c+9pF3NIsC3LG/0\nqIe7i6Oly3rgFNZF5IHLyjayIfIk89cfJuFcGjY20LxuOZ5tXYNqFYpbujwREbGgK+lZTFkQxfrI\neJwc7Xi9e12Cm1QutL+yKqyLyANzJT2L1dvjWLzxKEmX0rG3s6GdfyW6BlWnQhl3S5cnIiIWduBY\nMuPm/E3i+StUr1ic93o3pPwjOHf6nVBYF5H77mJKBku3HGPp1ljSrmZRxNGOTi2r0TmwGqWKO1u6\nPBERsbCsbCOzV0Uzf/1hbIDubWrQq31N7AvJSaQ3o7AuIvfN6aQ0Fm44wtqdJ8jMNuLu4kjvkJo8\n1cyrUI47FBGRvOJOX2bc7L85duoSj5V04e2eDajlpfOWclhFWM/KymL48OEkJCSQmZnJwIEDqV69\nOh988AE2NjbUqFGDUaNGYWtrS2hoKHPnzsXe3p6BAwcSFBREeno6Q4YMITk5GVdXV8aOHYuHh4el\nmyVSaMWcuMCC9UcI33cKowk8PVzoEliNNv6VKOJoFW87IiJiYQajicUbjzBjRTTZBiPt/CsxoFMd\nXIo4WLo0q2IVn5p//fUXxYsX56uvvuLixYt07tyZmjVr8tZbb9GkSRNGjhzJ2rVrqVevHjNmzGD+\n/PlkZGTQq1cvmjVrxpw5c/D29uaNN95g2bJlTJo0iREjRli6WSKFitFoYlf0WRasP2KefrFahWJ0\nbVWdZn7lCs18uCIicmunklL5bu5u/ok9T3F3J97oUQ//Wo9ZuiyrZBVhPSQkhPbt2wPX5lu2s7Pj\nwIED+Pv7A9CyZUu2bt2Kra0t9evXx9HREUdHRypVqkR0dDSRkZEMGDDAvO6kSZMs1haRwiYzy8D6\nyHgWbTxCfGIqcG36xa6tquNXvVShPXtfRETyMhpN7IhJZe2fG8jINPCEX1le61aXYm5Oli7NallF\nWHd1dQUgNTWVwYMH89ZbbzF27Fjzh7yrqyspKSmkpqbi7u6e636pqam5luesKyL316XUDJZvjWXZ\ntlgupWZib2dDm8YV6RxYnSpli1q6PBERsTKJ56/wfehu9h6+iJuzA2/0rkfL+uXVqXMLVhHWAU6f\nPs2gQYPo1asXzzzzDF999ZX5trS0NIoWLYqbmxtpaWm5lru7u+danrPu7YiMjCzYRjwE1ObC4X62\nOfFSFhHRqUQdTyPbAEUcbGheyx1/bzeKuphIPnWY5FP3bff5KoyPsYjIw8JkMrEy/Di/Lj3A1QwD\n3uWK8OHLgXgULWLp0h4KVhHWk5KS6N+/PyNHjiQgIACAWrVqsX37dpo0acKmTZto2rQpfn5+jB8/\nnoyMDDIzMzl69Cje3t40aNCAjRs34ufnx6ZNm2jYsOFt7fd213tUREZGqs2FwP1os8lkYnfMORZv\nOsrf0YkAlC3pyjMtqtLWvxLOTpZ7Kymsj7GIyMPgTHIaP/yxh72Hk3B1duDtnn4UJVFB/Q5YRVif\nMmUKly9fZtKkSebx5h9++CGfffYZ48aNo2rVqrRv3x47Ozv69OlDr169MJlMvP322zg5OdGzZ0/e\nf/99evbsiYODA998842FWyTyaMjIMrAhMp6/Nh/lxJlrw8tqeXnQObA6/rUfw85WP12KiEheRqOJ\nZVtjmb78H9IzDTR63JPXu9elZDFnIiPPWbq8h4pVhPURI0bkO3vLzJkz8yzr0aMHPXr0yLXM2dmZ\n77///r7VJ1LYJF+6yrKtsawMjyPlSiZ2tja0alCBji2rUqNiCUuXJyIiViw+MYUJoXv4J/Y87i4O\nvPZsXVo1qKCx6XfJKsK6iFieyWTiUNwFlmw+xtaoUxiMJtxdHOnR1psOT1ShZDFdaVRERG4s22Bk\n4YYjzFl9iKxsIwG+ZRnY1Y8SGvJyTxTWRQq5rGwDm/ecYumWYxw+eRGAyo+580yLarRqWAEnBzsL\nVygiItbuyMmLTAjdw7FTlyjh7sSrXf14wq+cpct6JCisixRSyZeusmLbcVZFxHExNQNbG2hS+zE6\ntqyKbzXNjy4iIreWnpHNrFXR/LXpKEYTtG1ciZc61sbNxdHSpT0yFNZFChGTycSBY8ks3RpL+L7T\nGI0m3Jwd6NqqOh2aeeHp4WLpEkVE5CERGX2WSfOjSDx/hbIlXRnUvS51a5S2dFmPHIV1kULgakY2\nGyJPsnzbcY6fvgxAlbJFebp5VQIblKeIo94KRETk9ly4nM60xfvZvCcBW1sbnm1dg+eDfTRs8j7R\nJ7TII+zk2RSWb4tl3a6TXEnPxs7WhuZ1y/F086rU8vLQUBexGIPBwIgRI4iNjcXGxoZPPvkEb29v\nS5clIjdhNJpYtT2O35f9Q9rVLHwqlWBQ97p4lStm6dIeaQrrIo8Yg9HE1r2nWL4tlqgjSQB4FHWi\nc8tqBDetrFldxCqsX78egLlz57J9+3a+/fZbJk+ebOGqRORGYk9dYuKfezkUdwFnJ3te7eJLyBNe\nut7GA6CwLvKIOHfhKqu2H2fZ5tOkpicA4Fe9FB2e8KJJncewt7O1cIUi/9O2bVtatWoFwKlTpyha\ntKhlCxKRfF1Jz2LO6kP8tfkYRqOJFvXK81LH2ur4eYAU1kUeYgajid2HElmx7Ti7Dp7BaAInBxs6\ntqhKSEAVKnq6W7pEkRuyt7fn/fffZ82aNbd1YbvIyMgHUJV1UZsLB2tss8lk4sCJq6z6+yIpV42U\ncLPjqUYlqF7OhuNH/uH4PW7fGttsrRTWRR5C5y+ns2Z7HKu3x5F44SoANSoWJySgCu4kEtDE18IV\nityesWPH8t5779GjRw+WLVuGi8uNZyRq2LDhA6zM8iIjI9XmQsAa23zybAo/LtzHnsPncbC3pVew\nD91a18CxgE4gtcY232/38uVEYV3kIWEwmtgTk8iqiDi2HziD0WiiiKMd7ZtWJqRpFapXLA5AZGSS\nhSsVubVFixZx9uxZXnnlFZydnbGxscHWVkO1RCwpPSObeWExLNp4hGyDiQY1y/BKF1/KlXKzdGmF\nWoGH9YsXL/LPP//wxBNPMHXqVA4cOMDgwYOpXr16Qe9KpFBIuniVsJ0nWPOvXvSq5YoRElCZwAYV\ncCniYOEKRe5ccHAww4YNo3fv3mRnZzN8+HCKFNElyUUswWQysWXPKX5Zsp+kS+mULuHMy518aVrn\nMc0aZgUKPKy/++67BAUFAbBy5Ur69u3LqFGjmDVrVkHvSuSRZTAY2XXwLKu2xxF58CxGExRxtCO4\nSWXaN61MjYrF9QYqDzUXFxe+++47S5chUugdP32ZHxfuY9/RJOztbOnR1pvubWro+htWpMAfiUuX\nLvGf//yH0aNH06VLFzp37sz06dMLejcij6RTSamE7TjB2p0nOH85A7g2Fj24SWVa1i+vXnQRESkQ\nKVcymbUymhXbYjGawL/WYwzoVIeypVwtXZpcp8DDutFoZP/+/YSFhTFz5kwOHjyIwWAo6N2IPDLS\nM7PZFnWaNTvi2H80GQBXZweebuZFuyaVqVpeF5sQEZGCYTAYWRkRx6yVB0m5kkX50q4M6ORLo8c9\nLV2a3ECBh/UhQ4bw5Zdf0r9/fypWrEiPHj0YNmxYQe9G5KFmMpk4fPIia3acYNPueK6kZwPX5kVv\n61+JJ/zK6bLNIiJSoHYfSuSnv/Zz4kwKLkXs6f9MbZ5uXhUHe53cbc0KPKz/9ddfuYa9hIaGFvQu\nRB5aFy6nsz4ynrCdJzh5NgWAUsWK8HTzqrRtXEk/P4qISIGLT0zh1yX/sOOfM9jYQPumlflPyOMU\nd3eydGlyGwo8rMfExJCWloarq0KHCEBWtpGd/5xh7c6T7Io+i9Fowt7OlmZ1y9HOvxL1vMvocs0i\nIlLgUq5kMmf1IZZvjcVgNFGnWkle7uSr4ZUPmQIP67a2tgQFBeHl5YWT0/++sekkUylMTCYTR+Mv\nsXbnCTbuTiDlSiYA1SoUo23jSrSsX4Giro4WrlJERB5FWdkGlm2NZe6aGNKuZlG2lCsvPl1bUzE+\npO7LmHWRwir50lU2/h3P2l0nOXHm2jCX4m5OdA6sRpvGlahStqiFKxQRkUeVyWRiy95TTF/+D2eS\nr+Dm7MBLHWvzVDONS3+YFXhY9/f3JzIykpiYGLp168bevXtp3LhxQe9GxGqkZ2QTsf806yPj2ROT\niNHEtWEufuVo3bgiDXzKYG+nN0kREbl/DhxL5pcl+4k5cRF7Oxs6tqzK8+18cHfRr7gPuwIP67//\n/jthYWEkJiYSEhLCyJEjefbZZ3nppZcKelciFmMwmth/JIl1kScJ33eKqxnXpif1qVyC1o0q0qJe\neb1BiojIfXfizGWmLz/I9gNnAGhWtxwvdHiccqXcLFyZFJQCD+sLFy4kNDSUHj16UKJECf7880+6\nd++usC4PPZPJxPHTl1kfGc/Gv+M5fzkdgDIeLnRsUYGgRhUpX1pvjiIicv8lX7rKrJXRrN15AqMJ\nanl50P+Z2vhU9rB0aVLA7ssJpo6O/+tRdHJyws5O80XLwyvxwhU2/h3Phr/jzePQXZ0daN+0MkEN\nK/J4FQ9sNZuLiIg8AClXMpm/7jBLNh8jM9tIRU93+j1Vi8a1PHXy6CPqvoxZHzt2LFevXiUsLIx5\n8+bRpEmTgt6NyH11OS2TrXsT2Lg7gQPHrl1V1N7OlgDfsgQ2qEDjxz1x1EWLRETkAUnPyGbJlmPM\nX3+EtKtZlCpWhF7ta9K6cSVN//uIK/CwPnToUEJDQ/Hx8WHRokUEBgbSs2fPgt6NSIG7mpHN9gNn\n2LQ7nr+jEzEYTdjYgG+1UgQ2KE8zv3K4aRy6iIg8QFnZBlZFxDEvLIaLKRm4uzjQ/5naPNXMS51G\nhUSBh/Vp06bxyiuv8Pzzz5uXjRs3jnfeeaegdyVyz7KyDURGJ7JpdwI7/jlDRua1E0Wrli9GYP0K\ntKxfnlLFnS1cpYiIFDYGg5H1kSeZs/oQiReu4uxkx/PtfOgcWA1XZwdLlycPUIGF9a+//prk5GTW\nrVvH8ePHzcsNBgN79+69rbC+d+9evv76a2bMmME///zDK6+8QpUqVQDo2bMnHTp0IDQ0lLlz52Jv\nb8/AgQMJCgoiPT2dIUOGkJycjKurK2PHjsXDQydYSP6yDUaiDiexeU8C4ftOkZaeDUC5Uq60/P8B\nvaKnu4WrFBGRwshgNLFlTwKzV0VzKikNB3tbOrasSo823hRzc7r1BuSRU2BhPTg4mKNHjxIREYG/\nv795uZ2dHa+99tot7z9t2jT++usvnJ2v9WIeOHCAF198kf79+5vXOXfuHDNmzGD+/PlkZGTQq1cv\nmjVrxpw5c/D29uaNN95g2bJlTJo0iREjRhRU0+QRYDCaOHAsic17TrEt6hSX065dUbRUsSK0a1KZ\nwPoVqFahmE7OERERizAaTYTvO83s1dGcOJOCna0NIQFVeK6tt37hLeQKLKz7+fnh5+dH27ZtsbOz\n48SJE3h7e5Oeno6Li8st71+pUiUmTJjA0KFDAdi/fz+xsbGsXbuWypUrM3z4cKKioqhfvz6Ojo44\nOjpSqVIloqOjiYyMZMCAAQC0bNmSSZMmFVSz5CFmNJqIS8xg14Iotkad4kJKBgDF3Z14qpkXLeuX\np2ZlzeQiIiKWYzSZCN93itmrDnH89GVsbaBN44o8386Hx0q6Wro8sQIFPmZ9//79jBw5EoPBwNy5\nc+nYsSNff/01zZs3v+n92rdvT3x8vPlvPz8/unfvTp06dZg8eTITJ06kZs2auLv/b3iCq6srqamp\npKammpe7urqSkpJyW7VGRkbeRQsfbo96m40mEyfPZXLgxFUOnrxCylUjcA5nJ1saVneldiVnqpRx\nwtY2i6vnj7P7/HFLl3xfPOqP8/UKW3tF5OFnMpmI2H+GX1YmcuZCArY20KpBBXoG+1BO1+yQfynw\nsD5u3Dhmz57Nyy+/TJkyZZg5cybvvPPOLcP69dq1a0fRokXN/x89ejSNGjUiLS3NvE5aWhru7u64\nubmZl6elpZnvdysNGza8o5oedpGRkY9kmw1GEwdjk9m69xTb9p3i/OVrPejuLg40qOZM5zZ++FYv\nhV7VX3wAACAASURBVL2drYUrfTAe1cf5Rgpbe0FfTkQeZkajifD9p5m35hCxpy4DEFi/As+189b5\nUpKvAg/rRqOR0qVLm/+uXr36XW3npZde4qOPPsLPz4/w8HBq166Nn58f48ePJyPj/7F353FVlvn/\nx1+HHVkU3HABBRUXFBdQMdEWK63JssaVwiZbnbK08mtZLo3OlGmrjb8ap2YmK43UGtsXS8klTFRU\nFHdBENlFDtsBzv37gzzlZGl58Bw57+fj4ePhue/73PfncrnO+9xc93VVY7FYOHToEJGRkfTr14/1\n69cTHR1NcnKyy31wu6K6Oiu7DxWxcddxvtuVaxviEtDEk2sGhBHfux3RXVqQtmM7fbu2cnC1IiLi\n6uqsBhvTckj6aj+ZJ8psd9Kj2tQw4irlFvlldg/rISEhfPPNN5hMJk6dOsXbb79N27Ztf/N55s6d\ny7x58/D09KRFixbMmzcPf39/EhMTSUhIwDAMpk2bhre3NxMmTGDGjBlMmDABT09PnnvuOXs3S5xA\nTW0daQcK2bTzOCnpJ2wPiQb6eTE8rgODo9u61B10ERFxfrV1VpK3Z5P01QFyCsy4uZm4MqY9Y6+O\npH2rAP2kTM7J7mH9L3/5C3/961/Jzc3l6quvJi4ujr/85S/n9d727duTlJQEQFRUFCtWrPjZMWPH\njmXs2LFnbPP19eXll1++8OLF6VRV15K6L5/NO3P5fu8JKn6YZjEowJvrL+vI4N5tiQpvjrsCuoiI\nOBFLTR1rv89i5TcHyS+uwN3NxDUDwhgzLJI2LfTgqJw/u4f15s2b8/zzz9v7tOJCyiosbEk/wXe7\nc9m2rwBLTf1CRa2CfLlmQAcui26jWVxERMQpVVTV8NnmTP6bfJDiU9V4erjxh8Hh3HJFZ1oFn3t2\nPJH/Zfew/tlnn/GPf/yD0tLSM7avXbvW3peSRqSgpJKU9Fw278pl9+EirFYDgNDW/gzq1ZZBvdrQ\nqZ3mQRcREedUaq7mow1H+GjDYcyVNfh6u3PLFZ0ZdXknggJ9HF2eXMLsHtYXLFjAs88++7vGqYvr\nMAyDzBNlfLc7l5TduRzM/vHLXZfQZgzq1YZBvdrQvpWejBcREeeVV1zBB+sO8sWWLCw1dQT6eXHb\niG78YXA4/k28HF2eNAJ2D+thYWHExMTg5qYxxHKmujor6UeKSNl9gpT0E+QVVwDg7maiT2RL4nq2\nIa5nCM2baqU2ERFxbodzSln9zUG+TcvBajVoGeTLqMs7ce2ADvh42z1eiQuz+7+mSZMmMXHiRPr3\n74+7u7tt+wMPPGDvS8kloLyyhm378tmSfoKte/MwV9YA0MTHgyF92jEwKoSY7q3x9/V0cKUiIiK/\nzjAMtu8v4P11B9mxvwCADiEB/PGqLgzp006zkUmDsHtYf+GFF+jevfsZQV1cy4micrbsOcGW9BPs\nPlRE3Q/jz1s082Vo33YM7NmGXp1a4OmhTk1ERJxfTa2Vb3dk8/66QxzNrV/IKLpzC265sjP9urbS\n81TSoOwe1mtra3n66aftfVpxYnV1VjIyS/h+zwm27MnjWF6ZbV/n9k0Z0COEgT3bEN42UB2aiIhc\nMk6VW/hs81E+3niY4lPVuLmZGNq3HTdf3pnOoc0cXZ64CLuH9SuuuIK33nqLIUOG4On549AGPXDa\nuJwqt7BtXz5b9+SRmvHj8BYvDzf692hN/x4hDOjRWuPPRUTkknMsr4wPvz3M2q3HsNTU4evtwU1D\nO3HjkAhNvygXnd3D+ieffALAG2+8YdtmMpk0deMlzjAMjuae4vs9eWzdm8e+zGJ+GN1Ci6Y+DOnT\njtgerYnu3AIfLz1YIyIilxbDMNi+r4A13x4iNSMfqF/fY+SQTlw7MIwmPnq2ShzD7qnq66+/tvcp\nxUEqqmrYsb+A1Ix8tu7No/hUFQBuJujaIZj+PVoT2701HdtoeIuIiFyaKqtr+XrrMT7acJjsfDMA\n3TsGc9PlnYiLCtEK2eJwdg/rhw8f5p133qGiogLDMLBarWRnZ/P222/b+1JiZ6fvnm/LyCc1I589\nR358ODSgiRdXxLQntltr+nZtRaCf5o4VEZFL1/FCMx9vPMLaLVmUV9Xi4W7iypj2jBwSQZfQIEeX\nJ2Jj97A+bdo0hg0bRmpqKjfffDPJycl06dLF3pcROzFXWNhxoMAW0E/fPQfoHNqM2G6tie3eis6h\nQbi76e65iIhcuqxWg2378vl44xFSM/IwDAgK8OamoZ0YMaijVhoVp2T3sG61WnnwwQepra2lR48e\njB8/nvHjx9v7MvI71VkNDhwrYXtGPtv25bM/q8Q29jzQz4vL+7Ynpnsr+ka2olmAt2OLFZFGq6am\nhpkzZ5KTk4PFYmHy5MkMGzbM0WVJI3Wq3MLa77P4dNNRcovKAejWIYgb4iO4LLqtphIWp2b3sO7r\n64vFYqFjx46kp6cTGxtLdXW1vS8jv0F+SQU79hew9rsiFr3/qW3mltNjz/t2bUVMt1Z0bt8MN909\nF5GLYM2aNTRr1oyFCxdy8uRJRo0apbAudmUYBgeOneTjjUf4dkcONbVWvDzcuGZAGNcPDqdze029\nKJcGu4f1G2+8kfvuu49FixYxbtw4vv32W1q3bm3vy8ivqKiqYfehIrbvz2f7vgJyCsy2fS2DfBnc\nuy19I1vRO7KlVg4VEYcYMWIEw4cPB+pDlRbSE3uprK5l/bZsPt18lMM5pQC0aeHH9Zd1ZFj/MAKa\n6JkrubTYPazHxsYyatQo/P39WbZsGbt27WLw4MH2voz8RF2dlQPHTrJ9fwFpBwrIOFpsezDU19ud\n/j1a0zeyFZ41+Qy/cqBmbhERh/Pz8wPAbDbz4IMPMnXq1HO+JzU1taHLcjpq8/nLLbaw9WA5u45W\nYKk1MJmge6gvsZ39CA/xxs1Uyv69u+xcrX3o71l+TYM8YPrpp58CEBISQkhIiL0v4fIMw+BYXhlp\nBwpJO1DArkOFVFTVAvVDWzqHNqNvZCv6RLaka4dg21i81NQSBXURcRq5ubncf//9JCQkMHLkyHMe\nHxMTcxGqch6pqalq8zlUVNWQvD2Hz1MyOXjsJAAtmvly7cAOXDsw7JJYmE9/z67hQr6c2D2sd+7c\nmVdeeYXevXvj4/PjU9X9+/e396VcSn5JBTsPFJB2oJCdBwsoPvXjcwBtWvhxed/29IlsSXTnFvjr\nR3wi4uQKCwuZNGkSs2fPZtCgQY4uRy4hhmGwL6uEL1OySN6eTZWlDjcT9O/RmhGDOhLTrbVmL5NG\nxe5h/eTJk6SkpJCSkmLbZjKZePPNN+19qUbtZFk1uw4VsvNg/d3z3MJy275m/t4M7duOPl1a0rtL\nSy19LCKXnFdffZVTp06xZMkSlixZAsDSpUvPuMkj8lOl5mq+Sc3myy2ZZJ0oA+pXGP3jVR24un8Y\nLZo5/110kd/D7mF92bJl9j6lSyirsLD7h3C+62AhmT90RABNfDwYGBVCr84t6NOlJWEhARrOIiKX\ntCeffJInn3zS0WWIk6urs7J9fwFfbslkS/oJausMPNxNDO7dlmsHdqB3l5a6iy6Nnt3D+tatW3n9\n9dfPWMH0+PHjfP311/a+1CXNXFlD+qFCdh0qYtfBQo7klmL8MN+5l6e7bUhLdOcWdG7fTMsdi4iI\nyziWV8ba77P4JvWYbdhnh5AArhnYgSv6taepv9YBEddh97D+5JNPcvfdd/P++++TmJhIcnIyPXr0\nsPdlLjnmCgvph4vYfbiIXYcKOZzzYzj39HCjZ0QLev0QziPDmuHpoWnMRETEdZgrLHx/wMzyDcns\nyyoBwM/Xk+su68jV/cPoEtpMP1UWl2T3sO7j48Mf//hHcnJyCAwMZP78+dxyyy32vozTKzVX28L5\n7kOFHM09ZQvnHu5u9AhvTq9O9eG8a4cgvDwVzkVExLXU1lnZlpHP2q1ZbEnPo7bOipsJ+nVrxbDY\nUOJ6ttHno7g8u4d1b29vTp48SXh4OGlpaQwaNIiKigp7X8bpFJ6sJP1wkS2gH8v7ccy57c55p+b0\n7NSCyA5BeKvzERERF2QYBvuzSliXmk3yjhxOlVsACAsJIDLEjdtuHHhJTLkocrHYPazfcccdTJs2\njcWLFzN69Gg+/PBDevbsae/LOJRhGOQUmEk/XMyeI/XhPL/4xy8kPl7u9OnSkp6nw7mGtYiIiIs7\nXmBm/bZs1m3L5vgPM5w19fdi5JAIrooNpVO7pmzbtk1BXeR/2C2s5+XlMW/ePDIzM+nbty9Wq5XV\nq1dz9OhRunXrZq/LOERtnZXDOaXsOVIfzvceKeak+cd5zv19PRnQI4SoiGB6dmpBRLumeOiBUBER\ncXElp6r4dkcO67dnsz+rftEiL093hvZpx5WxofSJbKnPS5FzsFtYnzlzJlFRUYwdO5ZPP/2Up59+\nmqeffvo3PVyalpbGokWLWLZsGZmZmTz22GOYTCa6dOnCnDlzcHNzIykpiRUrVuDh4cHkyZO58sor\nqaqqYvr06RQVFeHn58eCBQsIDg7+3W0pr6xhX2YJe47WB/N9WSVUW+ps+1s09WFo33ZERTSnR3hz\nwloH4Kapo0RERDBXWNi8K5fk7TnsPFiA1ahfXbtvZEuuiAklrmcITXw8HV2myCXDrnfWX3/9dQAG\nDRrEqFGjftP7ly5dypo1a/D1rf/x19NPP83UqVMZOHAgs2fPZu3atfTp04dly5axatUqqqurSUhI\nYPDgwSxfvpzIyEimTJnCxx9/zJIlS857/l7DMMgrrmDv0eL6X0eKyTzx48OgUD9dVPfw5kSFB9Mj\nvDktg3z1RLqIiMgPKqpq2LInjw07ckjNyKO2rv5DtGtYEJf3a098n7YEBWjBK5Hfw25h3dPT84zf\n//T1+QgLC2Px4sX83//9HwDp6ekMGDAAgKFDh7Jx40bc3Nzo27cvXl5eeHl5ERYWRkZGBqmpqdx1\n1122Y0+vhncuf/v3FjKOFlNS9uOQFi9Pd6IimtO9Y7Dtl38Tr9/UFhERkcauqrqWrRl5fLsjh617\n8rDUWgEIbxvIkD7tGNKnHSHN/Rxcpcilz+4PmJ72W+88Dx8+nOzsbNtrwzBs5/Dz86OsrAyz2UxA\nQIDtGD8/P8xm8xnbTx97PjbvyiU40IfB0W3pHl4fzMPbNsXTQ+PnRERE/tfpgL4h7Thb9+bZhoi2\nb+XP0D7tiO/TjtDWAec4i4j8FnYL6wcOHGDYsGG213l5eQwbNswWuteuXfubzufm9mNgLi8vJzAw\nEH9/f8rLy8/YHhAQcMb208eej6k3hdC0ifsPXwpOUlZwkp0Fv6nMS05qaqqjS7jo1ObGz9XaK3Ix\nVVTVsHVvHpt25vL93jwsNfUBvW0LP4b0acfg3m3p2CZQw0NFGojdwvrnn39ur1MB0KNHD1JSUhg4\ncCDJycnExcURHR3Niy++SHV1NRaLhUOHDhEZGUm/fv1Yv3490dHRJCcnExMTc17XGDZ0oF1rdnap\nqann/WfTWKjNjZ+rtRf05UQanrnCwpY9J9i0M5dt+/Kp+WGIS7uWfgzu3Y54BXSRi8ZuYb1du3b2\nOhUAM2bMYNasWTz//PNEREQwfPhw3N3dSUxMJCEhAcMwmDZtGt7e3kyYMIEZM2YwYcIEPD09ee65\n5+xai4iISGNXVFpJSvoJNu/KZdfBQuqs9Q+JdggJ4LLotlwW3ZYOIQEK6CIXWYONWf892rdvT1JS\nEgDh4eG89dZbPztm7NixjB079oxtvr6+vPzyyxelRhERkcYiO7+MlN0n2Lw7l32ZJbbtnUObcVmv\nNgzq1Yb2rTQGXcSRnCqsi4iISMOxWg32Z5Xw3e5cUtJPkJ1vBurnQe/VqQVxvUKI69mGVkFNHFyp\niJymsC4iItKIVVXXsn1/Ad/vOcH3e/M4+cN0xV6e7sT1rA/nsd1b09Tf28GVisjZKKyLiIg0Mvkl\nFWzdm8f3e/JIO1Bge0C0mb831wwII65nG6K7tMDHSzFAxNnpf6mIiMglrs5qsC+z2BbQj+aesu3r\nEBLAgKgQBkaF0CU0CDc3PSAqcilRWBcREbkElZqr2bYvn61789i+L5+yihoAPD3c6Ne1FQN6tCa2\nRwitgzX+XORSprAuIiJyCaizGhw4VkLq3nxSM/I4mH0So352RVo09eGyuLb0796a3l1a4uOtj3eR\nxkL/m0VERJxUUWkl2/fls21fAdv35WOurL977u5mIiqiOTHdWtO/e2vCNP+5SKOlsC4iIuIkqiy1\n7DlczPb9+WzccYKC0mzbvhbNfBncuy39uraid5eW+Pl6OrBSEblYFNZFREQcxGo1OJxTyvb9+aQd\nKGDPkWLbzC0e7ib6dWtF38hW9OvaktDWunsu4ooU1kVERC4SwzA4UVRB2oECdhwoYOeBQsoqLLb9\n4W0D6RvZir5dW1J1Mou4AbEOrFZEnIHCuoiISAMqKq1k18FC0g4UknawgIKSStu+Fs18GRgVRp/I\nlkR3aUFQgI9tX2rqMUeUKyJORmFdRETEjkrN1ew6VMjOg4XsOlhIdr7Zts/f15NBvdrQu3ML+nRt\nRdsWfhraIiK/SmFdRETkApSaq9l9qIjdhwrZdaiQzBNltn0+Xu7EdGtFdOeWRHduQXi7prhrUSIR\n+Q0U1kVERH6DotJK0g8X1Qf0w0Ucy/sxnHt5utOnS0t6dW5BdOcWdA5thoe7mwOrFZFLncK6iIjI\nLzAMg9yicvYcLmbPkfpwnltYbtvv4+VOn8iW9OzUnF6dWtAlNAhPD4VzEbEfhXUREZEf1NVZOZJ7\nij1HithzpJi9R4ooPlVt2+/n40H/Hq2JCm9Oz07N6dRed85FpGEprIuIiMsqr6xhX1YJGUfr75zv\nzyqhsrrOtj8owJvBvdsSFd6cqIjmdGgTqDHnInJRKayLiIhLMAyD3MJyMjKL2Xu0PqBnnjiFYfx4\nTGhrf7p3bE5URDA9wpvTOriJZmsREYdSWBcRkUapoqqGA8dOsi+zhIzMYvZllnCq/McFiLw83YmK\naE73jsF06xBMt47BBPp5ObBiEZGfU1gXERGHSUtLY9GiRSxbtuyCzlNnNcg6cYr9WSXsyyxhf1YJ\nWXllZ9w1bxXkS+8u7ejWMYjuHYMJb9tU481FxOkprIuIiEMsXbqUNWvW4Ovr+5veZxgG+SWVHDhW\nwv6sk+zPKuFQ9kmqLD+ONff2qr9r3jUsiMiwILp1DCY40OdXzioi4pwU1kVExCHCwsJYvHgx//d/\n/3dex7/9WQYHjpVwMPskpeYfh7OYTBDaOoDI0CAiOwTRNSyIDiEBuOuuuYg0AgrrIiLiEMOHDyc7\nO/u8j1/x5T6gfjjL4Oi2dAltRpewZnRu34wmPp4NVaaIiEMprIuIyCXh1iua0zbYCz8f9x+2nKKm\n9BR7S7McWldDSk1NdXQJF53a7Bpcsc2/l8K6iIhcEsaPjHd0CRdVamoqMTExji7jolKbXYOrtvn3\n0oA+EREREREnpbAuIiIO0759e5KSkhxdhoiI03L6YTA333wz/v7+QH2nft999/HYY49hMpno0qUL\nc+bMwc3NjaSkJFasWIGHhweTJ0/myiuvdHDlIiIiIiIXxqnDenV1NYZhnLFYxn333cfUqVMZOHAg\ns2fPZu3atfTp04dly5axatUqqqurSUhIYPDgwXh5aSU6EREREbl0OXVYz8jIoLKykkmTJlFbW8vD\nDz9Meno6AwYMAGDo0KFs3LgRNzc3+vbti5eXF15eXoSFhZGRkUF0dLSDWyAiIiIi8vs5dVj38fHh\nzjvvZMyYMRw9epS7774bwzAwmUwA+Pn5UVZWhtlsJiAgwPY+Pz8/zGbzOc/vitMGqc2uwdXa7Grt\nFRER1+HUYT08PJwOHTpgMpkIDw+nWbNmpKen2/aXl5cTGBiIv78/5eXlZ2z/aXj/Ja44bZDa3Pi5\nWptdrb2gLyciIq7EqWeDWblyJc888wwAeXl5mM1mBg8eTEpKCgDJycnExsYSHR1Namoq1dXVlJWV\ncejQISIjIx1ZuoiIiIjIBXPqO+ujR4/m8ccfZ8KECZhMJv72t78RFBTErFmzeP7554mIiGD48OG4\nu7uTmJhIQkIChmEwbdo0vL29HV2+iIiIiMgFceqw7uXlxXPPPfez7W+99dbPto0dO5axY8dejLJE\nRERERC4Kpx4GIyIiIiLiyhTWRURERESclMK6iIiIiIiTUlgXEREREXFSCusiIiIiIk5KYV1ERERE\nxEkprIuIiIiIOCmFdRERERERJ6WwLiIiIiLipBTWRURERESclMK6iIiIiIiTUlgXEREREXFSCusi\nIiIiIk5KYV1ERERExEkprIuIiIiIOCmFdRERERERJ6WwLiIiIiLipBTWRURERESclMK6iIiIiIiT\nUlgXEREREXFSCusiIiIiIk5KYV1ERERExEkprIuIiIiIOCmFdRERERERJ6WwLiIiIiLipBTWRURE\nRESclIejC7AXq9XK3Llz2bdvH15eXsyfP58OHTo4uiwRETkL9dkiIuen0dxZ/+qrr7BYLLz77rs8\n8sgjPPPMM44uSUREfoH6bBGR89NownpqaipDhgwBoE+fPuzevdvBFYmIyC9Rny0icn4azTAYs9mM\nv7+/7bW7uzu1tbV4ePxyE1NTUy9GaU5FbXYNrtZmV2tvY6A++/yoza5BbZZf02jCur+/P+Xl5bbX\nVqv1Vzv9mJiYi1GWiIichfpsEZHz02iGwfTr14/k5GQAduzYQWRkpIMrEhGRX6I+W0Tk/JgMwzAc\nXYQ9nJ5ZYP/+/RiGwd/+9jc6derk6LJEROQs1GeLiJyfRhPWRUREREQam0YzDEZEREREpLFRWBcR\nERERcVKNZjaY8+UKq+bV1NQwc+ZMcnJysFgsTJ48mc6dO/PYY49hMpno0qULc+bMwc2t8X1XKyoq\n4pZbbuGNN97Aw8Oj0bf5tdde4+uvv6ampoYJEyYwYMCARt3mmpoaHnvsMXJycnBzc2PevHmN+u85\nLS2NRYsWsWzZMjIzM8/azqSkJFasWIGHhweTJ0/myiuvdHTZduUKfTa4br/tan02uFa/rT7bTn22\n4WI+//xzY8aMGYZhGMb27duN++67z8EV2d/KlSuN+fPnG4ZhGCUlJcbll19u3HvvvcZ3331nGIZh\nzJo1y/jiiy8cWWKDsFgsxp///Gfj2muvNQ4ePNjo2/zdd98Z9957r1FXV2eYzWbj5ZdfbvRt/vLL\nL40HH3zQMAzD2LBhg/HAAw802jb/4x//MG644QZjzJgxhmEYZ21nfn6+ccMNNxjV1dXGqVOnbL9v\nTFyhzzYM1+y3Xa3PNgzX67fVZ9unz24cX2V+A1dYNW/EiBE89NBDABiGgbu7O+np6QwYMACAoUOH\nsmnTJkeW2CAWLFjA+PHjadWqFUCjb/OGDRuIjIzk/vvv57777uOKK65o9G0ODw+nrq4Oq9WK2WzG\nw8Oj0bY5LCyMxYsX216frZ07d+6kb9++eHl5ERAQQFhYGBkZGY4quUG4Qp8Nrtlvu1qfDa7Xb6vP\ntk+f7XJh/ZdWzWtM/Pz88Pf3x2w28+CDDzJ16lQMw8BkMtn2l5WVObhK+1q9ejXBwcG2D3Wg0be5\npKSE3bt389JLL/HUU0/x6KOPNvo2N2nShJycHK677jpmzZpFYmJio23z8OHDz1gk6GztNJvNBAQE\n2I7x8/PDbDZf9Fobkiv02eB6/bYr9tngev22+mz79NkuN2b9t66ad6nKzc3l/vvvJyEhgZEjR7Jw\n4ULbvvLycgIDAx1Ynf2tWrUKk8nE5s2b2bt3LzNmzKC4uNi2vzG2uVmzZkRERODl5UVERATe3t6c\nOHHCtr8xtvnf//438fHxPPLII+Tm5nL77bdTU1Nj298Y23zaT8d0nm7n//Zn5eXlZ3wQNAau0meD\na/Xbrthng+v12+qz611on+1yd9ZdYdW8wsJCJk2axPTp0xk9ejQAPXr0ICUlBYDk5GRiY2MdWaLd\nvf3227z11lssW7aM7t27s2DBAoYOHdqo2xwTE8O3336LYRjk5eVRWVnJoEGDGnWbAwMDbR1b06ZN\nqa2tbfT/tk87Wzujo6NJTU2lurqasrIyDh061Oj6NFfos8H1+m1X7LPB9fpt9dn26bNdblEkV1g1\nb/78+Xz66adERETYtj3xxBPMnz+fmpoaIiIimD9/Pu7u7g6ssuEkJiYyd+5c3NzcmDVrVqNu87PP\nPktKSgqGYTBt2jTat2/fqNtcXl7OzJkzKSgooKamhokTJ9KzZ89G2+bs7GwefvhhkpKSOHLkyFnb\nmZSUxLvvvothGNx7770MHz7c0WXblSv02eDa/bYr9dngWv22+mz79NkuF9ZFRERERC4VLjcMRkRE\nRETkUqGwLiIiIiLipBTWRURERESclMK6iIiIiIiTUlgXEREREXFSCusiIiIiIk5KYV1ERERExEkp\nrIuIiIiIOCmFdRERERERJ6WwLiIiIiLipBTWpVGpq6vjX//6F7fccgs33XQT119/PQsXLsRisfzu\nc65du5b58+cDsG7dOl566aVzvicxMZHPPvvsZ9tramp49tlnGTlyJDfeeCMjR47k1VdfxTCM33T+\n33pdEZHGbvny5dx4441cf/31/OEPf2D69OkcP378nO978skn2b179+++bllZGRMnTvzd7xc5Fw9H\nFyBiT3PnzqW0tJT//Oc/BAQEUFFRwaOPPsoTTzzBwoULf9c5hw0bxrBhwwDYtWsXpaWlv7u+//zn\nP2RnZ/P+++/j4eFBWVkZt99+O0FBQYwbN+6Czy8i4ooWLFhARkYGr732Gm3atMFqtbJmzRrGjRvH\ne++9R0hIyC++d9OmTYwbN+53X7u0tJRdu3b97veLnIvCujQax44d48MPP2TDhg34+/sD0KRJE556\n6im2b98OwJEjR/jLX/5CRUUF+fn5dOvWjRdffBFvb2969OjB7bffTkpKChUVFTz88MNce+211/rx\neAAAIABJREFUrF69ms8//5w///nPrFixgrq6OgICArj33nuZO3cuR48epbS0FD8/PxYtWkRERMQv\n1lhQUEBNTQ0WiwUPDw8CAgJ49tlnsVqtpKWlnXH+adOm8fe//52PP/4Yd3d3wsPDmTVrFi1btqSg\noIA5c+Zw+PBh3NzcGD9+/Bl3dmpra3nkkUfw8PBgwYIFeHjov7qINE4nTpxgxYoVrFu3jqZNmwLg\n5ubGqFGj2L17N6+99hrr16/npZdeolevXgBcddVVvPTSS3z11Vfk5+fz6KOP8uyzz7Jo0SI6derE\n7t27KSkp4aabbuLBBx8kOzubkSNH2j5Lfvr68ccfp6qqiptuuonVq1fj7u7usD8LaZw0DEYajT17\n9tC5c2dbUD+tZcuWXHvttQAkJSUxatQo3n33Xb744guys7NZt24dUD+EpmnTpqxevZoXX3yRmTNn\nUlxcbDtP7969GT9+PNdffz3Tpk0jOTmZwMBAkpKS+Pzzz+nZsydvv/32r9Z4xx13kJeXR1xcHImJ\nibzwwgtYLBYiIyN/dv5Vq1bx7bffsnLlSj788EO6dOnCY489BsBTTz1Fx44d+eyzz3j33XdJSkoi\nMzMTqB9q89BDD9G8eXMWLVqkoC4ijVpaWhoRERG2oP5Tl112Gampqb/43mnTptGqVSsWLVpE7969\nATh+/DjLly/n/fff55NPPuGbb7751es//fTT+Pj48N///ldBXRqEPsWl0XBzc8Nqtf7qMdOnT2fj\nxo0sXbqUo0ePkp+fT0VFhW3/bbfdBkC3bt2IjIzk+++//8VzjRgxgtDQUJYtW0ZmZiZbtmyhb9++\nv3r9kJAQVq9ezcGDB0lJSSElJYVx48bx2GOPceutt55xbHJyMrfccgtNmjQBYOLEibz66qtYLBY2\nbdrE9OnTAQgICOCjjz6yvW/BggWUl5fz5ZdfYjKZfrUeEZHGoLa29qzbLRbLb+4Hx40bh6enJ56e\nnowYMYINGzbQpUsXe5Qp8rvozro0GtHR0Rw+fBiz2XzG9ry8PO655x6qqqp4+OGHSUpKol27dvzp\nT38iKirK9nAncMZdEavV+qt3Sd555x2eeOIJfHx8GDlyJDfccMMZ5zqbZ599liNHjtC5c2duvfVW\nXn75ZebPn8/y5ct/duz/nstqtdo+kDw8PM74ADp27Jit3TfeeCPjx4/nySef/NVaREQagz59+pCZ\nmUlBQcHP9qWkpNhuovy0T/21SQd++tNIwzBwc3PDZDKd8f6amhp7lC5yXhTWpdFo3bo1I0eOZObM\nmbbgajabmTt3Ls2aNcPHx4cNGzZw//33c/3112MymUhLS6Ours52jg8++ACA9PR0jhw5Qv/+/c+4\nhru7uy0wb9iwgZtvvpkxY8YQHh7O119/fca5zqa4uJiXXnqJyspKoP6D4MiRI/To0eNn54+Pj2f1\n6tW2O//Lli2jf//+eHl5MWjQIFatWgVge0j16NGjQP2XlqlTp5KVlUVSUtLv/vMUEbkUtG7dmsTE\nRB5++GHy8vJs21etWsUXX3zB3XffTXBwsG3Glx07dpwR7H/a7wKsWbMGq9VKaWkpn376KVdddRWB\ngYHU1NRw8OBBAL788kvb8R4eHtTV1Z3zZo3I76VhMNKozJkzhyVLljB+/Hjc3d2xWCxcffXVTJky\nBagfn3j//ffTtGlTfH196d+/P1lZWbb3b9u2jaSkJKxWKy+88MLPxkAOGjSIKVOm4OnpyaRJk5g9\ne7btgaKoqCj2799/zvpeeOEFbrzxRry8vKitrSUuLo7Zs2f/7PxPPPEEubm5jBkzBqvVSocOHVi0\naBEAs2fPZu7cuYwcORLDMLj33nvp2bOn7Tre3t4888wzTJo0ibi4OMLCwuzy5ysi4oweeeQR3nvv\nPSZPnozFYsFisdCrVy9WrFhBu3btePTRR5k7dy7vvvsuUVFRREVF2d579dVXM23aNNsUvVVVVYwe\nPZry8nISEhIYNGgQUD+M8nTwHzFihO39LVu2pEePHlx33XUsX76coKCgi9t4afRMhr4KigDQtWtX\nNm/eTHBwsKNLERERB0hMTOTWW289I4yLOJqGwYiIiIiIOCndWRcRERERcVINMma9pqaGmTNnkpOT\ng8ViYfLkyXTu3JnHHnsMk8lEly5dmDNnDm5ubiQlJbFixQo8PDyYPHkyV155JVVVVUyfPp2ioiL8\n/PxYsGABwcHB7Nixg7/+9a+4u7sTHx/PAw88AMArr7zCunXr8PDwYObMmURHRzdEs0REXM7NN99s\nW7ugffv23HfffQ3Wl4uIyFkYDWDlypXG/PnzDcMwjJKSEuPyyy837r33XuO7774zDMMwZs2aZXzx\nxRdGfn6+ccMNNxjV1dXGqVOnbL9/4403jJdfftkwDMP46KOPjHnz5hmGYRg33nijkZmZaVitVuOu\nu+4y0tPTjd27dxuJiYmG1Wo1cnJyjFtuuaUhmiQi4nKqqqqMm2666YxtDdWXi4jI2TXImPURI0bw\n0EMPnf4ygLu7O+np6QwYMACAoUOHsmnTJnbu3Enfvn3x8vIiICCAsLAwMjIySE1NZciQIbZjN2/e\njNlsxmKxEBYWhslkIj4+nk2bNpGamkp8fDwmk4m2bdtSV1d3xqqTIiLy+2RkZFBZWcmkSZOYOHEi\nO3bsaLC+XEREzq5BhsH4+fkB9XNcP/jgg0ydOpUFCxbYFnHx8/OjrKwMs9lMQEDAGe8zm81nbP/p\nsT9dRt7Pz49jx47h7e1Ns2bNztheVlZ2zhk9fm35YRERZxcTE9Pg1/Dx8eHOO+9kzJgxHD16lLvv\nvhvDMBqkLz8X9dkicqn7vf12g82znpuby/33309CQgIjR45k4cKFtn3l5eUEBgbi7+9PeXn5GdsD\nAgLO2P5rxwYGBuLp6XnWc4iIyIUJDw+nQ4cOmEwmwsPDadasGenp6bb99uzLz8fF+ILiTFJTU9Vm\nF6A2u4YLueHQIGG9sLDQtmDM6cUEevToQUpKCgMHDiQ5OZm4uDiio6N58cUXqa6uxmKxcOjQISIj\nI+nXrx/r168nOjqa5ORkYmJi8Pf3x9PTk6ysLEJDQ9mwYQMPPPAA7u7uLFy4kDvvvJMTJ05gtVrP\ne55sV/yHojY3fq7WZldrL1y8u8wrV65k//79zJ07l7y8PMxmM4MHD26QvlxERM6uQcL6q6++yqlT\np1iyZAlLliwB4IknnmD+/Pk8//zzREREMHz4cNzd3UlMTCQhIQHDMJg2bRre3t5MmDCBGTNmMGHC\nBDw9PXnuuecAeOqpp3j00Uepq6sjPj6e3r17AxAbG8u4ceOwWq22lSBFROTCjB49mscff5wJEyZg\nMpn429/+RlBQELNmzWqQvlxERH7OZedZd9W7cWpz4+dqbXa19oLa7CrUZtegNruGC2mzVjAVERER\nEXFSCusiIiIiIk5KYV1E5BJSXlnj6BJEROQ8lVfW8N7a/Rd0DoV1EZFLhNVqMP9fKY4uQ0REztOS\nVWm8+cneCzqHwrqIyCXiow2H2X2oyNFliIjIedi48zjJ23PoGhZ0QedRWBcRuQRk55fxn4/3EOjn\n5ehSRETkHE6WVbNkZRpeHm48MK7XBZ1LYV1ExMnV1Vl5cfl2LLVW/jxac5KLiDgzwzBYsiqNU+UW\nrrjKk8e/nXVB51NYFxFxcqvXHWRfVglD+7ZjcHRbR5cjIiK/Yv22bDbvyqVbJz92VKzFzXRhcVth\nXUTEiR3KPsk7n2cQHOjNvTdHO7ocERH5FQUllby6eie+3m407baPMouZhF43XdA5FdZFRJyUpaaO\n597ZRm2dwUPj+hHo50VhebGjyxIRkbOwWg1eXLGN8qpaLr/KnZ0Fu+nRsgvXRV55QedVWBcRcVLL\nPt3Lsbwy/jA4nH7dWlFTV8Mz3y5xdFkiInIWH244zM6DhfSNCmTrqa/w9vBm8oBEDYMREWmMdh4s\n4IP1h2jX0o8/3dADgJXpn5BVmuPgykRE5H9lnjhVP2OXvyduHdIor6kksfcttPZvecHnVlgXEXEy\nZRUWnn9nG25uJh5OiMHHy4MDRUf4IONzWvo1d3R5IiLyEzW1dSx6K5WaWivxV9Wyp3AffdtEcU2n\nIXY5v8K6iIgTMQyDv7+XRlFpFQnXdiUyLIjqWguvpPwbwzC4f8BER5coIiI/8eYnezmae4ohAwPZ\nWPAV/l5+3Nc/EZPJZJfzK6yLiDiRtd9nsXHncXqEBzN6WCQAy3d+QG5ZPtdHXkWPVpEOrlBERE7b\nvi+fD9Yfom1LX4qafoelroZ7YhMI8m1qt2sorIuIOInjhWZee38XTXw8eCQhBnc3EztP7OWTA9/Q\nNqA1Ey5w+i8REbGfUnM1L67YhrubiT5DSjlyMouhHQYSF9rPrtfxsOvZ/kdaWhqLFi1i2bJlTJs2\njcLCQgBycnLo3bs3L7zwAvPnz2fbtm34+fkBsGTJEjw9PZk+fTpFRUX4+fmxYMECgoOD2bFjB3/9\n619xd3cnPj6eBx54AIBXXnmFdevW4eHhwcyZM4mO1lzEInJpqam1suitVKosdTx6awytgptgtpSz\nZMubuJvcmBJ3B94eXo4uU0REqB+y+PK7Oyg+Vc311zZlXU4SLZsEM6nfOLtfq8HC+tKlS1mzZg2+\nvr4AvPDCCwCUlpYyceJEHn/8cQDS09P55z//SXBwsO29//rXv4iMjGTKlCl8/PHHLFmyhCeffJI5\nc+awePFiQkNDueeee9izZw+GYbBlyxbee+89cnNzmTJlCqtWrWqoZomINIhln+7lwLGTXBUbyuX9\n2gPweuoKiitPMq7nSDoFd3BwhSIictpHG46wZc8JekYGssvyJQBT4ibRxMvX7tdqsGEwYWFhLF68\n+GfbFy9ezG233UarVq2wWq1kZmYye/Zsxo8fz8qVKwFITU1lyJD6J2iHDh3K5s2bMZvNWCwWwsLC\nMJlMxMfHs2nTJlJTU4mPj8dkMtG2bVvq6uooLtaiISJy6UjNyOP9dQdp28KPe2/uBcCGzO/ZmLWV\nyOYRjOo+3MEViojIaUeOl/LGh+kE+nkR3P0ghRXF/LHHdXRr2alBrtdgd9aHDx9Odnb2GduKiorY\nvHmz7a56RUUFt912G3fccQd1dXVMnDiRnj17YjabCQgIAMDPz4+ysjLMZjP+/v62c/n5+XHs2DG8\nvb1p1qzZGdvLysrOuFMvIuKsSk5V8eLy7Xi4m5h+WyxNfDwpKC/in6nL8fbw5oGBt+Pu5u7oMkVE\nBKiqrmXBm1uprbNy7Qh3Pj62jS7Nw/ljj+sb7JoNOmb9f3322WfccMMNuLvXf/D4+voyceJE21CZ\nuLg4MjIy8Pf3p7y8HIDy8nICAwPP2PbT7Z6enj/bfjron0tqaqq9mnbJUJtdg6u1+VJtr9Vq8Na6\nQk6aqxneryml+Yf4Ps/K8pyPqaip5LpWQ8nZf4wcjjm6VBERAV59fyc5BWaujm/O2tyV+Hr4MCXu\njga9qXJRw/rmzZuZPHmy7fXRo0eZOnUqH3zwAVarlW3btnHzzTdTXFzM+vXriY6OJjk5mZiYGPz9\n/fH09CQrK4vQ0FA2bNjAAw88gLu7OwsXLuTOO+/kxIkTWK3W876rHhMT01BNdUqpqalqswtwtTZf\nyu1998t9HD6RQ2z31tyfMBCTycTK9E/Irsojrn0//nTZ+LPO03upfjkREbmUrf0+i7XfH6NTe3+O\nN0mm6mQ1D8bdQYgdVin9NRc1rB85coTQ0FDb606dOnHTTTcxduxYPD09uemmm+jSpQvt27dnxowZ\nTJgwAU9PT5577jkAnnrqKR599FHq6uqIj4+nd+/eAMTGxjJu3DisViuzZ8++mE0SEflddh0q5J3P\nM2jR1IdpE/phMpnYX3iYlekf09w3iHv6J9htQQ0REbkwWSdO8f9W76SJjwdd4/L5JusYV3QcRHyH\nAQ1+7QYN6+3btycpKcn2+uOPP/7ZMXfddRd33XXXGdt8fX15+eWXf3Zsnz59zjjfaVOmTGHKlCl2\nqFhEpOGdLKtm0VtbwWRiemIsgX5eVFgqeem7NzAMgwfi/oS/l5+jyxQREaDKUsuCZVupttQx/o9B\n/DfrI9oGtGZSv7EX5fpaFElE5CKqsxo8/04qxaeqmXhdd3qEN8cwDP6x9W0Kyou4ucdworRKqYiI\n03ht9S6yTpQx7LKWfJ23Bg83D6YOuhMfT5+Lcn2FdRGRiyjpy31s319AbPfW3HxFZwC+ObKJTcdS\n6do8gjFRNzi4QhEROe3LlEy++j6LiPYBFDbdRJmlnD/1HU3HoNBzv9lOFNZFRC6SbRn5LP9yH62C\nfHk4oR9ubiayT+XyxrZ38fP05cFBkzRNo4iIkzicU8qrq3fi5+tJz8uK2F90iLjQflzTaehFrUNh\nXUTkIigoqWTR26m4u7nx2O39CWjiRXWthRc3vY6lroZ7+99GS7/mji5TRESA8soanvnP91hqrdw8\nMpAvj35Na/+W3Bd720V/+F9hXUSkgdXU1rHgze8pq7Bw96iedAkNAuBf25PIKs3h2k5DiQvt5+Aq\nRUQE6tfAeHHFNnKLyrnhyhC+OP4BHm4eTBt0F028fC96PQrrIiINbOkHu9mXVcIV/dpz3aCOACQf\nTeHrwxsJbxbKxL6jHVugiIjYrPz6AN/tPkGvzkFkeq+jzFLOHX3HEhEc5pB6FNZFRBrQV1sy+XTz\nUcLbBnL/mN6YTCZyTp1gaepyfD18mHbZXXi5ezq6zF9VVFTE5ZdfzqFDh8jMzGTChAkkJCQwZ84c\nrFYrAElJSdxyyy2MHTuWb775BoCqqiqmTJlCQkICd999N8XFxQDs2LGDMWPGMH78eF555RWHtUtE\n5H9t25fPW5/tpUVTH8L6ZnOw+ChDOgzg6k7xDqtJYV1EpIEcPHaSJavqH056/PYB+Hh5UFVbzfOb\nllJdW829/W8jJKCVo8v8VTU1NcyePRsfn/opyp5++mmmTp3KO++8g2EYrF27loKCApYtW8aKFSt4\n/fXXef7557FYLCxfvpzIyEjeeecdRo0axZIlSwCYM2cOzz33HMuXLyctLY09e/Y4sokiIgDkFVew\n6K2tuLu5ccMNPnyd+S2hgW24O9axi9QprIuINIBSczV/+88WauusPHprDG1a+GEYBv/cupxjpccZ\n3vlyLguLcXSZ57RgwQLGjx9Pq1b1XyrS09MZMKB+xb6hQ4eyadMmdu7cSd++ffHy8iIgIICwsDAy\nMjJITU1lyJAhtmM3b96M2WzGYrEQFhaGyWQiPj6eTZs2Oax9IiJQv/DR3/61hbKKGsbeEMIHR97H\nx8Obhwffg4+Ht0NrU1gXEbGz2jorC97cSkFJJQnDuxHbvTUAaw9vIDkzhc7BHZnY548OrvLcVq9e\nTXBwsC1wAxiGYbvD5OfnR1lZGWazmYCAANsxfn5+mM3mM7b/9Fh/f/8zji0rK7tILRIR+TnDMFic\ntIPDx0u5akAI35V9RHVtNX8eMJF2gSGOLg8PRxcgItLYvPFhOrsOFTKoVxvGDqtfjfRwcSZvbEsi\nwMuPhy+7G08nH6cOsGrVKkwmE5s3b2bv3r3MmDHDNu4coLy8nMDAQPz9/SkvLz9je0BAwBnbf+3Y\nwMDA86onNTXVTi27dKjNrkFtdqyNe8tI3l5Kuxae5Df5mlxzPgObReOZb5Ca7/g6FdZFROzoqy1Z\nfPjtYcJCApg6vi9ubibKqs08t2kpddY6psRNooVfsKPLPC9vv/227feJiYnMnTuXhQsXkpKSwsCB\nA0lOTiYuLo7o6GhefPFFqqursVgsHDp0iMjISPr168f69euJjo4mOTmZmJgY/P398fT0JCsri9DQ\nUDZs2MADDzxwXvXExDj/sCF7Sk1NVZtdgNrsWNv25bN2x2aCA30YPLyaDw9k0at1V6YOvceui9Rd\nyJcThXURETvJOFrM31em4efryZN3DKSJjydWq5WXNr9BQXkRY6L+QJ82PRxd5gWZMWMGs2bN4vnn\nnyciIoLhw4fj7u5OYmIiCQkJGIbBtGnT8Pb2ZsKECcyYMYMJEybg6enJc889B8BTTz3Fo48+Sl1d\nHfHx8fTu3dvBrRIRV5RTYObZZVtxc3Pjlpv8eWfff2nRJJiH4u50qtWkFdZFROygoKSSv/57C1bD\nYEZiLG1a+AGwYvcadubtpV/bXvwx6noHV/n7LVu2zPb7t95662f7x44dy9ixY8/Y5uvry8svv/yz\nY/v06UNSUpL9ixQROU/myhrmvf4d5ZU13H5LGKsPv4mnuwfT4+8j0Cfg3Ce4iPSAqYjIBaqqrmX+\nv1I4WVbNnTdG0bdr/cwpW7J38MHez2nt35IpA/+Em0ldroiIo9XVWVm4bCs5BeXccHkoG0r/S2VN\nFff1v43woFBHl/cz+uQQEbkA9ctSb+dwTinD4zowMj4CgOzSXF5J+Tfe7l5MH3wvfl5NHFypiIhA\n/SQA2/blE9O9JcXNNnO8LI+RXa8mvsMAR5d2Vg0a1tPS0khMTARgz549DBkyhMTERBITE/nkk08A\n+6x698orrzB69GjGjx/Pzp07G7JJIiJnePvzDDbuPE5URHPuvTkak8mE2VLOsxv+H1W11UwekEhY\ns3aOLlNERIBPNx1hzbeHCW0dQIe+x9meu5veId1JiB7l6NJ+UYONWV+6dClr1qzB19cXqF9I4447\n7mDSpEm2Y06verdq1Sqqq6tJSEhg8ODBtlXvpkyZwscff8ySJUt48sknmTNnDosXLyY0NJR77rmH\nPXv2YBgGW7Zs4b333iM3N5cpU6awatWqhmqWiIjN11uzSPpqP22a+/H47f3x9HDDarXy8uY3OGEu\nYFT34VwWFuvoMkVEBNi+L59X399FoJ8Xw69z4+09a2kT0Iqpg+5yqgdK/1eD3VkPCwtj8eLFtte7\nd+9m3bp13HrrrcycOROz2WyXVe9SU1OJj4/HZDLRtm1b6urqzpgHWESkIaQfLmJx0g78fD2ZfddA\nmvrXr3C3fNd/2XFiD33bRDG+540OrlJERACO5ZWx4M3vcTOZmDg6hHczVuHn6cuMIX92+mGKDXZn\nffjw4WRnZ9teR0dHM2bMGHr27Mn/+3//j7///e9069btgla9O3bsGN7e3jRr1uyM7WVlZQQHn3se\nY2eakP9iUZtdg6u1+WK3t+hUDf/8sgCr1eCPg5qSd2w/eccgvewAH+WtJ8gzkKE+/di+fftFrUtE\nRH6upKyKp/75HeVVtdw9JoKVh5dhNaxMu+xu2ga0dnR553TRpm685pprbKvUXXPNNcybN4/Y2NgL\nXvXO09PzrOc4H84yIf/F4kyLEFwsanPjd7HbW2qu5rXF31JZbWXK2D5cO7ADAPsLD/P5Nxtp4unL\nnKun0bYBl6h2tS9jIiK/V5WllvlvpJBXXMHoazqy/uQHlFaXManfOKJDuju6vPNy0WaDufPOO20P\nf27evJmoqCiio6NJTU2lurqasrKyn616B5x11TvDMNiwYQOxsbH069ePDRs2YLVaOX78OFar9bzu\nqouI/FbVNXXMfyOF3MJyxl4daQvqhRXFLNz4GrVGHdMuu6tBg7qIiJyfOqvB8+9sY3/WSa6MbUeO\nbzLHSo8zossVjOhyhaPLO28X7c763LlzmTdvHp6enrRo0YJ58+bh7+9vl1XvYmNjGTduHFarldmz\nZ1+sJomIC7FaDV54ZxsZmSVc3rc9t43oBkBVbTULv32V0qpT/KnvGHqHXNorlIqINBZvfLibzbty\n6dW5OQGdD/Dd4frniW7vM9rRpf0mDRrW27dvb1ulLioqihUrVvzsGHusejdlyhSmTJlip6pFRM5k\nGAavr9ltm6LxofF9MJlM9TO/fPcvjpw8xrCIeK7rcqWjSxUREeCD9QdZk1w/RWPskApWpCcT2rQt\nDw2606lnfjkbLYokInIOH6w/ZJuX98k7BuDpUd/Rv73zfbbmpNGrdVfujBmPyWRycKUiIpK8PZvX\n16QTHOjDqBub8G76BwT5NOXxoffTxNPX0eX9ZgrrIiK/Yv22bN74MJ3mTX146u5B+DfxAmDtoQ18\nuO8r2ga0Ztpld+Nxid2pERFpjHYeLOCF5dtp4uPBpHFt+c/ud/Dy8OKxoffTosml+UyjwrqIyC/Y\nsT+fF1dso4mPB3PvHkTLoPo7Mmkn9vDP1OUEePnx2ND78ffyc3ClIiJyOKeUv/5rC2Bw3/hOvJnx\nJnXWOqYNuovwoFBHl/e7KayLiJzFgWMlP3T6Jp68YyAd29RPPXu0JJvnNy7FzeTG9PjJhPi3dGyh\nIiJCbmE5c5ZuprK6lnvHRLI6823Kqs3cFTOefm17Orq8C6KwLiLyP3IKzMxd+h2Wmjqm3xZDr84t\nACiqKOGZb/9OZW0VD8T9iW4tOzm4UhERKTlVxZx/bOZkWTV33NiV9SUfkFdeyOio67m60xBHl3fB\nFNZFRH6i8GQls1/bxKlyC5P/2JvLotsCUFFTyTPfLqG48iS39b6ZQaGus/CUiIizMlfWMHfpd+QW\nlTPm6k7sNb7kUEkmV4ZfxpioGxxdnl0orIuI/KDUXM2s1zaRX1LJbdd1Y8SgjgDU1tXy3MbXyDyZ\nzbWdhjKy6zWOLVRERKiy1PKXf37H4eOlDI/rwMlmW9hxon4u9btjExrNDF0K6yIiQHllDXOWbiY7\n38yoyzsxdlgkAFbDypItb7Irbx/92/VmUr9xjeYDQETkUlVTa+Xp/3zP3qPFDOnTFr9OB9iQ9T1d\nmoc3uhm6FNZFxOVVWWqZ90YKh7JLuWZAGJP+P3t3HldVtT5+/HPO4TCDjCIICAiIoICCiIFTjo2a\nqQWl96uZ5U0r761ro95uWT+/lbe0rG7dWzctTTPLtExzwhEZBJVBHJjnWQ4z5+zfHxTl10ot5ajn\neb9evl6y9zqbZ3F085y113rWHSFdCfmnx75kf0ES/Zz9eCx6Nmq13DaFEMKY9HoDr38J2TbRAAAg\nAElEQVSaQmp2BZH93fAfXM23p3bhae/O08MfwdLMwtghXlHyW0cIYdLaO/S8/OERMs5WExPmwSPT\nwrsS9S0nv2dz9g487Nz42/B5mJuZGzlaIYQwbQaDwor1aRxI79xROmp4K+tOfIWztSPPjlyArcWN\nV0pXknUhhMnq0BtY9nEyR3Mqiezvxl/jI9CoOxP1vbmH+ThtI45WPXh25ALsLGyNHK0QQpg2RVF4\n94tj7EouJNDbgfETzPgo7TPsLWx5fuSjOFs7GjvEq0KSdSGESdIbFP75aSqJGWWEB7jy9J+GoDXr\nvCWmlhznnaTV2Jhb89zIR3G1cTZytEIIYdoUReE/X2fw7aE8fD3suftOe95PXY2l1oJnRz6Kh30v\nY4d41UiyLoQwOXqDwpvrUklIKybY14lnZ0Vhru1cjJRVeYrlB9/HTK3h6eGP4NXDw8jRCiGEaVMU\nhf9uzeTLvWfw7GlL/N2uvJ3yIZof7tPX8+6kl0KSdSGESTEYFN5an8bulCL6eTuyZE40lhZmAJyt\nKeD/7VuF3qDnrzFzCXTxM3K0QgghPtmWzcbdp+ntasPsez14O+UDFEXhiZiHCXL1N3Z4V50k60II\nk2EwKKzamM73SQX4eznw97nDsLbUAlB8roylCStpaW9lQfQsBrlf39tTCyHEjWDt9pN89n0O7s42\nzI335q2Uf9Gub2fhTXMIdw82dnjdQpJ1IYRJ+DFR/+5wPn69e/Di3GHYWnUm6hW6Kl7as4KGVh0P\nRsZzk3ekkaMVQgix9rtsPv0uGzcna+bd78NbKf/6YUDlfxjSO8zY4XUbs6t58fT0dF577TVWr15N\nVlYWL774IhqNBnNzc5YtW4aLiwsvvfQSqamp2Nh0ltpZtWoVWq2WJ598kurqamxsbFi2bBlOTk6k\npaWxdOlSNBoNsbGxzJ8/H4C33nqLPXv2YGZmxjPPPENoaOjV7JYQ4jpjMCi8/Xk62xN/SNQfuglb\n684yjNVNtfxjzxtUN9dyf9gUxvaNNXK0QgghPv0um7XbT9LTyZr5M/xYmfoujW1NzIuaQYz3EGOH\n162uWrL+/vvvs3nzZqysrABYunQpzz//PP3792fdunW8//77PP3002RkZPDBBx/g5OTU9doPP/yQ\nwMBAFixYwNatW1m1ahXPPfccS5YsYeXKlXh5eTF37lwyMzNRFIUjR46wYcMGSktLWbBgARs3brxa\n3RJCXGcMBoW3NqSx40gBfT07E3W7HxL1upZz/GPPG1Q0VjN9wO3cGTTOyNEKIYRpUxSFT787ybod\nJ3FzsubRmf6sTHmHhlYdD0XexyjfYcYOsdtdtWkw3t7erFy5suvr5cuX079/fwD0ej0WFhYYDAby\n8/NZvHgx9957L59//jkAKSkpDB8+HIARI0Zw6NAhdDodbW1teHt7o1KpiI2N5eDBg6SkpBAbG4tK\npcLDwwO9Xk9NTc3V6pYQ4jqi1xt4Y10qO44U4O/Zg5d+lqg3tOp4ac8KShsqmBQ0nruDbzVytEII\nYdoUReHjb7JYt+MkvZyteWxmAG+lvkt9awNzIuIYY6JPPq/ayPqECRMoKirq+rpnz54ApKamsmbN\nGj755BOampq4//77mTVrFnq9npkzZzJgwAB0Oh12dnYA2NjY0NDQgE6nw9b2p01JbGxsKCwsxMLC\nAgcHh/OONzQ0nDdS/2tSUlKuVHevG9Jn02Bqff6l/uoNChsP1pBZ0ExvZ3PujrbhZNZxAJr1Lawr\n/paKtmoiegTTr92L1NTU7g5bCCHEDxRF4YPNJ9iccJberjY8cn9fVqS8Q33LOWYPvofx/iOMHaLR\nXNU56//XN998wzvvvMO//vUvnJycuhL0H6fKREdHk52dja2tLY2NjQA0NjZib29/3rGfH9dqtRcc\n/zHRv5iIiIgr2LtrX0pKivTZBJhan3+pv+0depZ9nExmQTMhfs4sfmBoV9UXXVsjL+55k4q2asb1\nHc6ciDhUKpUxQv/dTO3DmBDixmYwKLy76RjfHszDy82OR+7z442kVdS3NjB78D1MDBhl7BCNqtuq\nwXz11VesWbOG1atX4+XVWbw+Ly+PuLg49Ho97e3tpKamEhISwuDBg9m7dy8ACQkJREREYGtri1ar\npaCgAEVR2L9/P5GRkQwePJj9+/djMBgoKSnBYDBc0qi6EOLG1NLawT/+nUhiRhlhAS78fU50V6Le\n1NbM0r0rya0t5Ga/GB6IuPe6S9S7k16v5+mnn+bee+8lLi6OnJwc8vPziYuLIz4+niVLlmAwGABY\nv349U6ZMYfr06ezevRuAlpYWFixYQHx8PA8++GDXFMW0tDSmTZvGvffey1tvvWW0/gkhjO/H6Yrf\nHuzcmfSR+327EvU5EfeafKIO3TSyrtfrWbp0Ke7u7ixYsACAIUOG8OijjzJp0iSmT5+OVqtl0qRJ\nBAQE4OnpyaJFi4iLi0Or1fL6668D8MILL/DEE0+g1+uJjY0lLKyzbE9kZCT33HMPBoOBxYsXd0eX\nhBDXIF1zO//44DBZeTUMCXZj0cwhWPywM2ljWxMv7V3BmZp8RvkMY25kPGqVVK/9LT8m3evWrSMx\nMZF//vOfKIrC448/ztChQ1m8eDE7d+4kPDyc1atXs3HjRlpbW4mPjycmJoa1a9decrGA4GDTqJcs\nhPhJe4eeV9ekcOh4Kf36OPI/U3vzeuLb6NoaeTAinnH+w40d4jXhqibrnp6erF+/HoAjR478Yps5\nc+YwZ86c845ZWVmxYsWKC9qGh4d3Xe/nFixY0PUhQAhhmup1rSz+1yHOFtczIrw3C+MHY6bpTMZ1\nbY28tGcFZ2sLGOU7jIcj75dE/RKMHTuWUaNGAVBSUoK9vT0HDx4kKioK6CwAcODAAdRqNYMGDcLc\n3Bxzc3O8vb3Jzs4mJSWl6/4+YsQIVq1adV6xAKCrWIAk60KYlpbWDl7+6AhHcyoJ9Xfh3sk9ee3Q\n2zS3t/DnqJkmWfXl13TrnHUhhLgaKmqbWPzeQYorGxk/tA9/nhqGRt05vUXX2siLe9/snPriexNz\nh9wnifplMDMzY9GiRezYsYMVK1Zw4MCBrqlDPy8A8PO1QjY2Nuh0ussqFnApTHGuvvTZNJhan5ta\nDSx8fQdF1W0E9rYkPLiGZfs+o13p4Ha3kdjVmJNSY1o/k98iyboQ4rpWUd/OypX7qK5v4e7R/vzp\ntuCuZLK+5Rwv7VlBfn0xY/xieTAyThL132HZsmU88cQTTJ8+ndbW1q7jv1UAwM7O7rKKBVwKU1o4\nDaa3WBykz6agur6ZJ9/cRWV9B6MjPBk+Qssbhz/AoDKwcNgcor0GGzvEq+KPfCCT31pCiOvWyfwa\nPtxRSXV9C7NuD+Z/bg/pStRrmuv4++5/kl9fzHj/EZKo/w5ffvkl7733HtA5PVGlUjFgwAASExOB\nzgIAkZGRhIaGkpKSQmtrKw0NDZw5c4bAwMDLKhYghLjxFVfq+NvKfVTWd3DnCD+GxigsP/geKmBR\n7LwbNlH/o2RkXQhxXUrKLOP/fZxMe4eBBdPDGT+0T9e5qsYa/rHnDcp0ldzebywzwqZI1ZffYfz4\n8Tz99NPcd999dHR08Mwzz9C3b1+ef/55li9fjp+fHxMmTECj0TBjxgzi4+NRFIWFCxdiYWFBXFzc\nZRULEELcuE7m1/DCB4k0NLUxOtQe35A6ViSuxVJjwVMj/kx/1wBjh3jNuqxkXafTUVpaSkCA/ECF\nEMbz/ZF8Vm5Ix0yj5t7hzucl6iUN5by4502qm2qZEjyRewbcKYn672Rtbc2bb755wfE1a9ZccGz6\n9OlMnz79vGOXWyxACHFjSsosY9nqZNrb9TwyNYzTup38KyUZOwtbnh0xHz+nPhe/iAm7aLK+YcMG\nUlNTefLJJ5k8eTI2NjaMHz+ehQsXdkd8QgjRRVEU1n+fw5pt2dhZa1n8QDSN1bld5/Prinhpzwrq\nWxuID53M5P4TjBitEEKI7Yn5vP155+DKM/8TxcmOgyQUJONs7cjzIx/Fw76XsUO85l10AufatWtZ\ntGgRW7ZsYcyYMXz99dfs27evO2ITQoguHXoDb21IZ822bHo6WrFs/nCCfH7aAC2n6ix/37Wcc606\n5kTcK4m6EEIYkaIorNmWxcr1adhYanlhbhRHdNvYcvJ7nLUOvDjmCUnUL9ElTYNxcHBg7969zJw5\nEzMzs/OqAQghxNXW1NLOstXJpGZX0NezB0seiMbR3rLrfFppBq8f+Bfthg4eGfonRvgMNWK0Qghh\n2to7DLy1IY1dyYX0crbmqVmDWJfzKellWQQ4+3KLfQwu1rLb/KW6aLLu7+/PQw89RFFREcOGDeOx\nxx5j4MCB3RGbEEJQVdfMP/59mNySc0T2d+NvMyKxsvjp1pXZcJpv9iWgVmt4IuYhInuHGjFaIYQw\nbQ1NbbzyURLHz1QR6O3AY/eFsCr1fc7WFjDYYyALh83hRPpxY4d5Xblosv7yyy9z9OhRAgMDMTc3\nZ9KkSYwYMaI7YhNCmLjThXW8+J/D1Jxr5ZZhPjx010A0mp9m732Ts4uvy/dgrbVi0fB5Uk1ACCGM\nqLSqkRc+OERxZSPDBrpz7x0eLDv0BpWN1Yz2vYm5kfFo1Bpjh3ndueicdYPBQHJyMi+//DI6nY7M\nzEwMBkN3xCaEMGGHT5Ty1Kr91Da08sCdA5h3d2hXom5QDKxJ38RHRzdgo7Hi76P/Iom6EEIYUcbZ\nav76ZgLFlY1MGeXP5FsdeTHhn1Q2VjMt5DYeHnK/JOq/00WT9X/84x80NzeTkZGBRqOhoKCAZ599\ntjtiE0KYIEVR2LAzh5c/OgLAM/8TxeSRfbvKL3YY9KxK/JjN2dtxt+vJDM878XH0NGbIQghh0r4/\nks9z7x6gsaWdR6aGERjWxNK9K2hpb+HPUTOZNuB2KaH7B1x0GkxGRgabNm0iISEBKysrli1bxh13\n3NEdsQkhTExbu56VG9LYk1KESw9Lnps9lL6eDl3nm9qbWX7gfY6VZxHg5MOiEY9w6sRJI0YshBCm\nS29Q+O/WTDbtOY2tlZZFMyM5057Mfw59jZWZJX+JeZCwXsHGDvO6d9FkXaVS0dbW1vWJqLa2Vj4d\nCSGuuOr6Zl75KImTBbX083bk2VlR51V8qWmq45WEt8ivL2awx0AeH/YAlmYWRoxYCCFMV2NzO699\nkkJyVjm9XW15ZlYEX+d9xd68w7hYO/HU8D/j7dDb2GHeEC6arM+cOZNZs2ZRWVnJ0qVL+f7773nk\nkUe6IzYhhIk4mV/Dyx8doeZcK6MiPFkwLRxz7U9zGwvqinkl4W2qm2sZ33cEswZPl7mPQghhJEUV\nDbz0nyMUV+oY3K8nD03vx3up/yar8jT+Tj78LfZhHKx6GDvMG8ZFk/XJkyczYMAAEhMT0ev1vPPO\nOwQFBXVHbEIIE7AzqYC3P09HrzfwwJ0hTBrR97ynd0dLT/DGwX/T3NHCfaF3cWfQOHm6J4QQRpKU\nWcbrn6TQ2NLBlFH+jI51YOn+5VQ2VjPMK4I/R83Ewszc2GHeUC6arH/55ZcA2NjYAJCdnU12djaT\nJ0++6MXT09N57bXXWL16Nfn5+Tz11FOoVCoCAgJYsmQJarWa9evXs27dOszMzJg3bx6jR4+mpaWF\nJ598kurqamxsbFi2bBlOTk6kpaWxdOlSNBoNsbGxzJ8/H4C33nqLPXv2YGZmxjPPPENoqNRZFuJa\n195h4N+bT7D1QC42Vlr+Nnsog/v1PK/NtlN7+PDoeszUZiy8aQ7DvCKMFK0QQpg2g0Hhs+9zWLs9\nG61GzV/iB9PDvY4lu16juaOFaSG3MTXkNhlMuQoumqwnJiZ2/b29vZ2UlBQiIyMvmqy///77bN68\nGSsrKwBeeeUVHn/8cYYOHcrixYvZuXMn4eHhrF69mo0bN9La2kp8fDwxMTGsXbuWwMBAFixYwNat\nW1m1ahXPPfccS5YsYeXKlXh5eTF37lwyMzNRFIUjR46wYcMGSktLWbBgARs3bvyDPxYhxNVUc66F\n//ffJLLyavBxt+eZ/4nC3cWm67zeoOe/aZ+z7dQeeljY8WTswwS6+BkxYiGEMF2Nze38c20qiRll\nuDpa8fTMIZzQJfLuvs2Yacx4fNgD3OQdaewwb1gXTdZfeeWV876uq6tj4cKFF72wt7c3K1eu5G9/\n+xvQWVUmKioKgBEjRnDgwAHUajWDBg3C3Nwcc3NzvL29yc7OJiUlhTlz5nS1XbVqFTqdjra2Nry9\nvQGIjY3l4MGDmJubExsbi0qlwsPDA71eT01NDU5Oso2tENeijLPVLPs4idqGVkaE92bB9HAsf7Yj\naWNbE28c+oD0siy87N1ZNOIReto4GzFiIYQwXXml53jloyOUVDUS6u/CY/GhfJrxGQcLU3C2cuTJ\n2Ifxc/I2dpg3tIsm6/+XtbU1xcXFF203YcIEioqKur5WFKXr0YiNjQ0NDQ3odDrs7Oy62tjY2KDT\n6c47/vO2tra257UtLCzEwsICBweH8443NDRcUrKekpJy8Q7fYKTPpuFa7LOiKBzK1rEjrR6A8YN6\nMCwIMk6kd7WpaatnY+l2atrr6WvtxR0uoynMzqOQvN+89rXYXyGEuN7tTinkrQ3ptLXruXu0P+OH\nu/LqoTfJry8myKUvf4mZi4OlvbHDvOFdNFmfMWNGV5KtKApFRUWMGDHisr+RWv3T/kuNjY3Y29tj\na2tLY2Pjecft7OzOO/5bbe3t7dFqtb94jUsREWFa819TUlKkzybgWuxzY3M7K9Yf5eCxehztLFg0\ncwghfuePlqeXZfLpwU9obG/m9n5juT/0rvPuG7/mWuzv1SYfToQQV1Nbu54PvjrBt4fysLY044n7\norByqeXZXctobGtiXN/hzBo0HTPNZY/5it/hoj/lBQsWdP1dpVLh6OiIv7//ZX+j4OBgEhMTGTp0\nKAkJCURHRxMaGsobb7xBa2srbW1tnDlzhsDAQAYPHszevXsJDQ0lISGBiIgIbG1t0Wq1FBQU4OXl\nxf79+5k/fz4ajYZXX32VBx54gLKyMgwGg0yBEeIacrqojmUfJ1FW3USInzOLZkSeVz9dURS25uxk\ndfoXaFQa/hw1k1G+w4wYsRBCmK6SKh3LPk7mbHE9Pu72LJoZwZGqA3yW8DUatYaHh9zPzX4xxg7T\npPxqsp6UlARwware2tpakpKSGDJkyGV9o0WLFvH888+zfPly/Pz8mDBhAhqNhhkzZhAfH4+iKCxc\nuBALCwvi4uJYtGgRcXFxaLVaXn/9dQBeeOEFnnjiCfR6PbGxsYSFhQEQGRnJPffcg8FgYPHixZcV\nlxDi6lAUhW8O5vHBVyfo0BuYPjaQ+PH90Gh+Gi1v7WjjX8mfsC//CI6WPXgi9iECnH2NGLUQQpiu\n/enFrFyfRlNLB+OH9uG+2/ryr9TVpJYcx9nKkb/GzMXf2cfYYZqcX03WV6xY8asvUqlUfPzxxxe9\nuKenJ+vXrwfA19eXNWvWXNBm+vTpTJ8+/bxjVlZWv/j9w8PDu673cwsWLDjvCYAQwrh0TW2sWJ/G\noeOl2Fmb89f7BhMR5HZemwpdFa8deI+8uiICnH35a8xcnKwcfuWKQgghrpbWH6a9bDuUh4W5hoVx\ng/HtC0t2/y/ljVUMdAvisejZ2Fte2jRjcWX9arK+evXq7oxDCHGDyM6r4dU1yVTUNjOgrzNP3BeB\ncw+r89qkl2Xy5qH/oGtrZGzf4cwaNA2tRmukiIUQwnQVlJ3jf1cnk1/WgI+7PU/eH0G2Lo3nvt9A\nu6GDKcG3MD3k9ktaQySujovOWU9OTubf//43TU1NKIqCwWCgpKSEXbt2dUd8QojrhN6gsGFnDmu3\nnwRFIX58P6aP64dG/dNUOoNi4IvMbWw4sQWNWsNDkfcxpm+sEaMWQgjTpCgK2w51TlVs6zBwy00+\n3HdrAP9NW8f+giRszW3469CHGOwxwNihmryLJuvPPfccDz74IJs2bWLGjBkkJCQQHBzcHbEJIa4T\nFbVNLP80lYyz1bj0sOQv90UwsK/LeW10rY2sTPyQo6UZuFg78ZebHpS5j0IIYQTnGttY8dlREjPK\nsLPW8tf7IvDw0rN41zJKdRUEOvvx+E0P4GItBTuuBRdN1i0tLbn77rspLi7G3t6el156iSlTpnRH\nbEKI68Ce1CLe3ZhOY0sHMaEezJ8Whq21+XltTlXn8sbBD6hsqiGsVzCPRs/CzsL2V64ohBDiaknN\nruDNz1KpOddKqL8Lj987iJSqI7z1/UY6DB3c0W8scaGTMVNrjB2q+MFFk3ULCwvq6urw9fUlPT2d\nYcOG0dTU1B2xCSGuYbqmNt7ZeIyEtGIszTUsmB7OuCjv8ypIKYrCNzm7WHNsEwaDgWkht3F38K0y\n91EIIbpZa7uej7ZksGV/LmYaFX+6LZgxw3rxfsrHJBenY2dhy/yhf2KQu0x7udb8arJeV1eHg4MD\ns2bNYuHChaxcuZKpU6fy9ddfM2CAvJFCmLKjJytY8dlRqupbCOrjyF/iI3B3sTmvja61kXeT1nCk\nOI0eFnY8Omw2A92CjBSxEEKYrpyCWv65NpWiCh1ebrb8NT6CZm0ZT+1YSm1zPSE9A1kQPUsqcl2j\nfjVZnzBhAtHR0UydOpUPP/wQgC+++IK8vDyCguQXrhCmqKW1gw+3ZPDNwTw0ahX3TQxi2s0B59VO\nBzhZdYY3D/2HqqYaQnoG8mj0bBytehgpaiGEME0degPrdpxkw85TGAwKdwz3I35iAF+e/Javs3eg\nVqmID53Mnf3GyRPPa9ivJut79uxh+/btfPTRRyxZsoRJkyYxZcoUWVwqhInKOFvNm+uOUlrdiHcv\nOxbGDcbf8/xRGIPBwJfZ37H+xBYUFKYPuIMp/SfKLwEhhOhmuSX1vLHuKGeL63F1tOKxewbh1LOd\nf+x9nby6ItxsXXkserYs9L8O/GqybmVlxaRJk5g0aRLl5eVs2bKF+fPn4+DgwNSpU7njjju6M04h\nhJG0tHbw8bdZbNl/FhUwZZQ/900Mwlx7/uKjqqYa3jr8EZmVp3CycuDR6NkE9wwwTtBCCGGiOvQG\nPt91is92nKRDrzAuyptZdwSzr+gA/7t9E+2GDsb4xfKn8Lux1FoaO1xxCS66wBTAzc2NBx54gNtu\nu41Vq1bx9NNPS7IuhAk4drqSlevTKKtuorerLY/fO4ggnwtLeR0uTOW95E9obGtiSO8wHh5yv1R7\nEUKIbnamqI4V69M4W1yPcw9L5k8Lp4+3GcsTV5FRkYOdhS2PD7mfIb3DjB2quAwXTdbPnTvHtm3b\n+Prrr6mqquKuu+5i586d3RGbEMJIGpvb+XBLBt8dzket6hxNj58YhMX/GU1vam/mo9QN7Mk7hLlG\ny9zIeMb4xZ5XEUYIIcTV1dauZ92Ok2zcfRqDQWHsEG9m3xlCUlkyT2zbQHNHC5G9w5gbGY+Dpb2x\nwxWX6VeT9W+++YbNmzdz9OhRxowZw2OPPUZkZGR3xiaEMIJDx0t594tj1JxrwcfdngXTwwn0dryg\nXXblGd5K/JCKxmp8Hb1YED0LT3t3I0Qsrpb29naeeeYZiouLaWtrY968efj7+/PUU0+hUqkICAhg\nyZIlqNVq1q9fz7p16zAzM2PevHmMHj2alpYWnnzySaqrq7GxsWHZsmU4OTmRlpbG0qVL0Wg0xMbG\nMn/+fGN3VYjr1okzVby1IZ3iSh09nayZPzUMby8tK5PeI60sEyutJX+OmslIn2gZSLlO/Wqy/skn\nnzBlyhSWL1+OtbV1d8YkhDCC6vpm3tt0nEPHSzHTqIkf34+pYwLRmp2/OLRd385nJ7bw9ckdANzV\nfyLTQm7DTHNJs+rEdWTz5s04ODjw6quvUldXx+TJkwkKCuLxxx9n6NChLF68mJ07dxIeHs7q1avZ\nuHEjra2txMfHExMTw9q1awkMDGTBggVs3bqVVatW8dxzz7FkyRJWrlyJl5cXc+fOJTMzU4oXCHGZ\ndM3tfPTDE1CVCu4Y7sf9E4M4XJLEm9s+p6m9mVC3/jw85H5cbGQn0uvZbybrQogbn96g8O3BXFZ/\nm0VTSwfBvk7MnxaOl5vdBW1zawt5K/EjCutLcLN15ZGoPxHk2tcIUYvuMHHiRCZMmAB0bnCl0WjI\nyMggKioKgBEjRnDgwAHUajWDBg3C3Nwcc3NzvL29yc7OJiUlhTlz5nS1XbVqFTqdjra2Nry9vQGI\njY3l4MGDkqwLcYkURSHhaDEfbD5BXUNr1xNQB2cDyw+/w7HyLKzMLJkbeR9j/GJkNP0GIENhQpiw\n00V1vP15OqcL67Cx0vLI1DDGD+2DWn3+zb1D38EXWdvYlPktesXA+L4juD/sLqkkcIOzsenc6Eqn\n0/Hoo4/y+OOPs2zZsq5f/jY2NjQ0NKDT6bCzszvvdTqd7rzjP29ra2t7XtvCwsJLiiclJeVKde26\nIX02DZfa5+pz7WxNruNsWStmGhgTZk90kA27T20m4XAy7UoHftaeTHCNxb7OitTU1Ksc+e9niu/z\n7yXJuhAmSNfcziffZvHNwVwMCowa7MnsO0NwtLsw+c6rLeTtIx+TX1eEs5UjD0fdT1gvGQU1FaWl\npTzyyCPEx8dzxx138Oqrr3ada2xsxN7eHltbWxobG887bmdnd97x32prb39pC94iIiKuUK+uDykp\nKdJnE3ApfW5t17NhZw4bd52mQ28gIqgnD08JpU1Tx7tJazhdk4etuQ0PDbqf4X2irvnRdFN9n3+v\nbk3Wv/jiCzZt2gRAa2srWVlZfPbZZzz00EP4+PgAEBcXx6233iqLlYS4CgwGhT2phXz4dSZ1ulZ6\nu9oyb0ooYYGuF7Rt07fzReY3fJW1Hb1i4Ga/GGaG3Y21uZURIhfGUFVVxezZs1m8eDHDhg0DIDg4\nmMTERIYOHUpCQgLR0dGEhobyxhtv0NraSltbG2fOnCEwMJDBgwezd+9eQkNDSfyih7IAACAASURB\nVEhIICIiAltbW7RaLQUFBXh5ebF//365ZwvxKxRFISmznPe+PE5FTRPOPSyZM2kAkcEufJHVuQup\nXjEQ4x3J/wyaRg+p9HJD6tZkfcqUKUyZMgWAF154gbvvvpuMjAxmzZrF7Nmzu9pVVlbKYiUhrrDT\nhXW8t+kY2fm1mGs1zLy1P5NH9kVrprmgbU7VWd45sprihjJcrJ2YG3kf4e7yf8rUvPvuu5w7d45V\nq1axatUqAJ599lleeuklli9fjp+fHxMmTECj0TBjxgzi4+NRFIWFCxdiYWFBXFwcixYtIi4uDq1W\ny+uvvw503v+feOIJ9Ho9sbGxhIVJzWch/q/iSh3vf3mclOwKNGoVU0b5c+/4fpysOckT371DRWM1\nLtZOzImIY7DHAGOHK64io0yDOX78OKdPn2bJkiUsWbKE3Nxcdu7cSZ8+fXjmmWc4duyYLFYS4gqp\na2hlzbYstifmoygQE+rB7DtC6Ol0YZWnpvZm1h77iu2nE1BQmOg/irjQSVjJ3HST9Nxzz/Hcc89d\ncHzNmjUXHJs+fTrTp08/75iVlRUrVqy4oG14eDjr16+/coEKcQNpamln/fc5fJVwhg69QliAC3Mn\nD8TGXs87KR9yuDAVtUrNnUHjmBpyG5ZmFsYOWVxlRknW33vvPR555BEAQkNDmTZtGgMGDOCdd97h\n7bffJigoSBYrXSXSZ9OQkpJCh17hSI6OvSfO0dqu4NrDjFsiHPDrpaYwN4vC3PNfc0qXz/bKA+j0\nTThpe3BLz+F40ovMYxnG6cRlMMX3WAhxYzEYFHYmFfDxt1nUNbTi6mjFA3cOICqkJ9+e2s2GA1tp\n7Wgl0NmPByPj6OPgaeyQRTfp9mT93Llz5ObmEh0dDcC4ceO6FheNGzeOF198kcjISFmsdBWY6oIO\nU+tzcnIyHZa9+fDrDEqqGrG10vKn24K45SYfzDTqC9pXNdbwn6PrSS5LR6PWMC3kNib3n4BWozVC\n9JfPFN9j+XAixI3l+Jkq/rP5BKeL6rEw13DfxCDuGuXPqZpTLNr+AUXnSrEzt2HWkGmM8h2GWnXh\nvVzcuLo9WU9KSupaqATwwAMP8PzzzxMaGsqhQ4cICQmRxUpC/E6ni+r4aGcl+RXFqNUqbo/xJW5C\nEPY25he07TDo+TZnN+szttDa0Up/1wAejIyTXUiFEKKblFTqWJdQRXZREdBZmetPtwWDtpm3j/yH\nw0WpqFAx1i+WuNBJ2FnYXuSK4kbU7cl6bm4unp4/Pbr5+9//zosvvohWq8XFxYUXX3wRW1tbWawk\nxGWoqGli9bYs9qYWoSgwJNiNWbeH/OLGRgCZFaf4d+o6CutLsDO34YGoe2QraiGE6Cb1ulbWbT/J\nt4fy0BsUgn2deODOAfTxsOGr7O1szt5Om76dQGc/Zg+ejp9TH2OHLIyo25P1HxeI/igkJIR169Zd\n0E4WKwlxcQ1NbWzYeYqv952lQ2/Az6MHsUFapt0W/Yvt65rrWZO+iYT8RADG/DBaYy+jNUIIcdW1\ntHbw1b4zbNx1mubWDtxdbBgeZMF9k2I4WJjCP7/ZRHVzLY6WPXgwYjLDfaJkyouQTZGEuB61tHXw\n9b6zbNx1isaWDlwdrZhxS39GDvLk6NELd6zr0Hfw7ak9fJ6xleaOFnwdvZgTEUeAs68RohdCCNPS\noTewPTGfddtPUtvQir2NOTNvHcjEYT58c2gbz+96jVPVuWjVZtzVfyJ39Z8gO0SLLpKsC3Edae/o\nvOGv//4kNedasbPWMvuOEG6L8cVce2G9dIC00gz+e/RzihvKsDW34cGIeMb4xaBWy2iNEEJcTXqD\nwr6jRXz63UlKqxuxNNdwz7hApozy51xHHSsT/8Oh4s4F49Feg7kvdDJuthduUidMmyTrQlwH9HoD\ne1KL+HT7SSpqmrAw13DP2EDuGuWPjdUvV20pOVfGf9M2crT0BCqVivF9R3DvwDuxtbDp5uiFEMK0\nKIrC4RNlfLIti/yyBsw0Km6L8eWecYFozDtYn7GJ784koDfocbdwZV7Mnwhy7WvssMU1SpJ1Ia5h\neoPCvrRi1m3PpriyEa2ZmjtH+DHt5kAc7H55I4xmfQsfpq5n++m96BUDA3r240+DpkpNXiGEuMoU\nRSEpq5xPv8vmTFE9ahWMGeJF3Pggethr+CZnF19lb6e5vQU3GxfiQidjXqFIoi5+kyTrQlyD9AaF\nA+nFrNtxksJyHRq1ignRfbhnbD9cHa1+8TXt+na+O72Xz/K/ptXQhputKzPCpjCkd5hUeRFCiKtI\nURRSsitYuz2bnII6VCoYEd6be8f3w93Vml1nD/D5vq3UtZzDztyGP4VPZbz/CLQaLSmVsm+C+G2S\nrAtxDdHrDSSkFfPZjhyKK3Wo1SrGRXlzz7h+uDlZ/+JrDIqBgwUprD3+FZWN1ViozZkZPpWJ/iMx\n08h/cSGEuFoURSEps5y1O05yurAOgJtC3YkfH4SXmy37C5L432+2UN5YhYWZBXcH38odQWOx1v7y\noIsQv0R+kwtxDWjvMLA7pZDPd56itLoRzQ9J+vSxgfRy/vU55sfLs/k0/UvO1OajUWu4NfBm/Ns9\niO0X043RCyGEaTEYFA4dL2X99zmcLakHICbUg3vGBdLH3Y4jRWm8+d0Wis6VYqY2Y2LAKKb0n4iD\nVQ8jRy6uR5KsC2FELW0d7Egs4Is9p6mqa8ZMo2ZCdB+mjQn81ZF0gLM1+Xx67CuOlWcBEOMdyb0D\n78TN1lW2ohdCiKukQ29gb2oRG3eforBch0oFw8N7c8/YQLx72ZFccoxV27eQX1eEWqVmtO9NTA25\nFVcbZ2OHLq5jkqwLYQS6pja2Hshl876znGtsw1yr4c7hftw1yh8Xh19/PFp0rpT1x7dwuKizlnpY\nr/7EDZwku9sJIcRV1NLawfYj+Wzac4aqumY0ahVjh3gzdUwA7i7WJBcf4+3tW8mrK0KFiuF9opga\nchvudj2NHbq4AUiyLkQ3qqht4quEM2w/nE9Lmx4bKy33jA3kjuF+9LD95eouAOW6SjZkbGVf/hEU\nRaGvUx/iQycz0C2oG6MXQgjTUq9rZcv+XLYeOEtDUzvmWg13DPdj8si+uPSwJLH4KG989y359cWo\nUBHjHcndIbfiae9u7NDFDUSSdSG6wemiOr7cc4Z96cUYDArOPSyJG9+PicN8sLb85TrpAJWN1WzM\n/Ja9uYfQKwa8enhw78A7ifQIlQovQghxlRRVNPBVwll2JRXQ1mHAzlrLPeMCuSPWD1trMw4UJLPp\n0DaKG8pQqVTEeg9hSsgtkqSLq0KSdSGuEr1BITmzjC8TznDiTDUA3r3smDLKnxGDPNGa/foOopWN\n1WzK+o7duQfRG/R42LkxNeQ2bvKOQK2SnUeFEOJKUxSFE2eq+XLvGY5klgHQ08mau0b2ZewQb9Qa\nA7tzD7H55A4qG6vRqNSM8h3G5P4T8LBzM3L04kYmyboQV1hTSzvfJxWwZV8updWNAAwKdGXySH8G\n9XP9zRHxcl0lm7K+6xpJ72XrytSQ24j1HoJaLUm6EEJcaW3tehKOFrN53xlyS84B0K+PI3eN9Cd6\noDvNHU18e/p7vjm1m/qWc2g1Wsb7j+DOoPH0lIWjohtIsi7EFVJcqWPL/rPsTCqkubUDrZmacVHe\n3DmiLz7u9r/92nNlbMraxv78JAyKAXe7ntwdfCsx3pFo1Jpu6oEQQpiOqrpmvjmYy3eH8znX2IZa\nrWJ4eG/uHO5HkI8TVY01fJK+ke/P7qeloxUrrSWT+0/g1sCbcbD87Xu6EFeSJOtC/AE/TnX55mAe\nqScrAHCyt+Tu0f5MHObzm4tGobME45dZ20ksOoqCgpe9O3cFT+Qmr0gZSRdCiCtMURSOn6li64Fc\nDp8ow2BQsLPWcvdof26N8aWnozVna/J589AmDhWmYlAMOFr1YGrIbYztGyubGQmj6PZk/a677sLW\n1hYAT09PHn74YZ566ilUKhUBAQEsWbIEtVrN+vXrWbduHWZmZsybN4/Ro0fT0tLCk08+SXV1NTY2\nNixbtgwnJyfS0tJYunQpGo2G2NhY5s+f393dEiamtqGF748UsO1QHhW1zQAE+zpxe6wfwwa6Y6b5\n9URbURQyKnL4Kvs70ss666T7OXozJfgWInuHypx0IYS4wnTN7exOLuTbQ7kUlusA8PWw545YP0YM\n9kSrUZFccoy3j+4iq/IUAN49enN7vzHEeg+R3aCFUXXrv77W1lYURWH16tVdxx5++GEef/xxhg4d\nyuLFi9m5cyfh4eGsXr2ajRs30traSnx8PDExMaxdu5bAwEAWLFjA1q1bWbVqFc899xxLlixh5cqV\neHl5MXfuXDIzMwkODu7OrgkTYDB0jshsO5THoeOl6A0KluYaJg7z4dabfPD1+O2d6fQGPYlFaWzO\n3s7Z2gIAQnoGclf/iQx0C5LqLkIIcQUpikJOQS3bDuWTkFZMW7seM42aUYM9ufUmX4J8HGlqb2bH\n2d1sO7WHisbOQgBhvfpze7+xhLr1l/uyuCZ0a7KenZ1Nc3Mzs2fPpqOjg7/85S9kZGQQFRUFwIgR\nIzhw4ABqtZpBgwZhbm6Oubk53t7eZGdnk5KSwpw5c7rarlq1Cp1OR1tbG97e3gDExsZy8OBBSdbF\nFVN7roXvkwrYkVjQtWC0Ty87brnJl1GDPbGx+vXSiwDN7S3szj3I1pxdVDZWo0LFUM9B3Bk0jgBn\n3+7oghBCmAxdUxt7Uov47nA+eaWdC0Z7OVszMdqHMUO8cbCzoKi+lH+nrGNv3mFa9W1oNVrG+sVy\na+DNePaQ8ovi2tKtybqlpSUPPPAA06ZNIy8vjwcffBBFUbo+udrY2NDQ0IBOp8POzq7rdTY2Nuh0\nuvOO/7ztj9NqfjxeWFjYnd0SNyC93kByVjk7jhSQlFWOwaBgbqbm5kgvJkT3ob+P00VHXKoaa9h2\neg/fn9lPU3szWo2WcX2Hc3u/sbKrnRBCXEE/PvnckVjAoeMltHUY0KhVxIR6MD66D+EBrhgwkFyc\nznfJe8moyAHAxdqJqf4judnvJuwsbC/yXYQwjm5N1n19fenTpw8qlQpfX18cHBzIyMjoOt/Y2Ii9\nvT22trY0Njaed9zOzu6847/V1t7+0lZpp6SkXKGeXT+kz7+tor6dtLONHMttQtdiAKCXo5ZBfjaE\n+lpjZa7QXJNHak3eL75eURSKW8pJrs8gR5eHgoK1xpJYpwgG9eiPtcqSkpxCSri6HyhN7X02tf4K\nITqVVTeyO7mQncmFlNc0AdDb1YZxUX24eYgXjnaWVDXVsCFjC7vOHqC2pR6AgW79GO8/kkiPUKm4\nJa553Zqsf/755+Tk5PD3v/+d8vJydDodMTExJCYmMnToUBISEoiOjiY0NJQ33niD1tZW2traOHPm\nDIGBgQwePJi9e/cSGhpKQkICERER2NraotVqKSgowMvLi/3791/yAtOIiIir3ONrS0pKivT5F9Tr\nWtmfVszO5EJOFdYBYGul5baYPoyL8qavp8NFv0+bvp2DBcl8e2o3ubWdibiPgye3Bt5MjHckWs1v\nT5W5kkztfTa1/oJ8OBGmramlnYPHStiVXMTxM1UAWJprGDPEi3FRfQj2dcKgGEgry+T7tH2klp5A\nURSstVZMDBjFBP+R9LbvZeReCHHpujVZnzp1Kk8//TRxcXGoVCpefvllHB0def7551m+fDl+fn5M\nmDABjUbDjBkziI+PR1EUFi5ciIWFBXFxcSxatIi4uDi0Wi2vv/46AC+88AJPPPEEer2e2NhYwsLC\nurNb4jrU1q4nKbOcPamFJGeV06FXUKsgIqgnY6O8GRrSC63ZxUdbKnRVbD+zj91nD9DQ1ohKpSLK\nM5xbAkYT7Bogi5OEEOIK6NAbSMupZE9KEYdOlNLWrgdgQF9nxkR6ExPmgZWFGRW6Ktaf2MKe3ENU\nN9cC0NepD+P6juAm7wgszX67nK4Q16JuTdbNzc27EuyfW7NmzQXHpk+fzvTp0887ZmVlxYoVKy5o\nGx4ezvr1669coOKGpDconDhdxd6jRRw8VkJjSwcAPu72jBnixchBnjjaW170OgaDgaNlGew4ncDR\n0gwUFOzMbZgUNJ7x/iNwlR3thBDiD1MUhZP5tew9WsS+tGLqdW0AuLvYMCbSi1ERXrg5WdPW0caR\n4qPszj3A8fKTAFiZWTK+7wjG9I3F19HLmN0Q4g+TwqHihqYoCtl5NexLK2ZfWjG1Da0AuPSwZOIw\nH0ZFeF10d9Ef1TTVsTv3IDvPHqCqqQaAACcfJgSMItprMObdONVFCCFuRIqikFtSz760YvYeLabi\nh3noPWzNuT3Gl1ERngR6OwJwpiafzckHOVCQTFN7534XQS59udkvhmivwTKKLm4YkqyLG46iKJwq\nrONAegk7k8qobywGwM5ay8RhPowc1JtgX2fU6otPUdEb9KSVZbLzzH5SSo+jKAoWZhaM7TuccX2H\ny4iNEEL8QYqiUFDWwP70EnYkllN9rvOebWWhYXSEJyMHexIW4IqZRk1VYw2bsraRkJdISUM5AI5W\nPRjvP4JRPtF4yFx0cQOSZF3cEAwGhZzCWg4eK+XAsZKu0RgLrYqbI70YHt6bsABXtGaXtjtoWUMF\nu3IPsjf3cFf1AD9Hb8b4xRLTJ1K2nBYmJT09nddee43Vq1eTn58vu06LP0xRFPJKz/1wzy7u2lXU\nTAMxoR4MH9SbyP5uWGg1NLU1k5B/iH35R7pKLmo1Wm7yjmSkz1DC3IJRq2XnZ3HjkmRdXLf0egOZ\nuTUcOlHKwWMlVNe3AGBlYcaowZ7EhHlAUzHRUYMv6XrN7S0cKkxlT+5BsqvOAGCttWK8/whu9o3B\nz8n7qvVFiGvV+++/z+bNm7Gy6vyA+sorr8iu0+J3MRgUThXWcuh4KQePl1Ja1Vl22dxMzbCB7sSG\neWDWWspN0UNo62gjtTSd/QVJHC05Qbuhc41Rf9cAhveJYpjXYGzMrY3ZHSG6jSTr4rrS0tZBek4l\nh0+UkZhRRkNT54IjWystN0d6ERPqQXigK+bazkouKSklv3k9g8HA8Yps9uYlcqToKG36dgAG9OzH\nKN9hRHsOwtzM/Op2SohrmLe3NytXruRvf/sbgOw6LS5Le4eB42eqSDxRSmJGWdegiqW5hpgwD2IG\nehDRvyfWllo69B18cSCZtw5nkFScTnNHZ1sve3di+gxheJ8oWcAvTJIk6+KaV3uuhaSsco5klHE0\np7KrZJeTvQW33OTDsAHuDPR3wUxz6Y9B82qL2JefyP6CJGqbO6e5uNm6MtJnKCN9ouUXghA/mDBh\nAkVFRV1fG3PXaVOsL3899rmp1cDpkhZOFjdzurSF1nYFACtzNWG+1vT3sqJvL0u0Zir0+hK2Hkki\nW5fLqcZ8WgydRQB6mNkS6hBKiJ0/rhZO0AwF2XkUkGfEnl091+P7/EeZYp9/L0nWxTXHYFA4W1xP\nUlY5yVll5BTUdZ3zcrNlaIg7Qwf0ItDL8ZIWif6oQlfFgYJk9hckUVjfOeJurbVijF8sI32i6efi\nJ3XRhbiIn88N7u5dp01x86vroc+KolBY3kByVjlHMsvJyqvBYOhM0Hs6WRMd0ovoAe4E+zqh0ahp\n17dzvDybw4VHSSpJp7Gtc42Ro1UPQsz9mTLkNvydfEzmfny9vM9Xkqn2+feSZF1cExqb20nLqSQl\nu5yU7HJqznWOrqjVKkL9XRgS3IuoEDc8XGwvcqXz6Tqa+CZnFwcLUsipPguAmdqMqN7hDPeJYpD7\nACm5KMRlCA4ONtqu0+La0dLawbEzVaRklZOSXUH5D4v6VSoI9HJkSIgbQ0Pc6dPLDpVKRUt7C0kl\naSQWHSW15ETXFBcnKwdGBAxlmFcEgS6+HE09SoCzrzG7JsQ1R5J1YRQ/jp6nnCzn6MnK80Zietia\nc3OkF5H93RjUrye2VpeXTNc115NYlMbhotTOygF5oFKpGOjWj1jvKKI8w2VhkhC/06JFi2TXaROk\nKAoF5Q0cPVlBSnYFGWerae8wAGBtaUZMmAdD+rsREeSGg11nffO6lnPsOnuApOJ0jpdndy0SdbVx\nZswPtdD9nX1Qq6SSixC/RZJ10W0qa5tJP1XB0ZOVpJ2q5Fxj5+LQH0diIoJ6EtHfDX9Ph8ua3gKd\nGxYdKe4ctcmsPIWidCb+npZujA/u3LTIwfLSHrULIc7n6enZtUu0r6+v7DptIuoaWkk/VUlaTiVH\ncyq6FocC+HrYExHkRmR/N/r1ccRMo+6cDlNfwu7M4ySXHON0dR4Knfdi7x69iewdSrTnIPo4eJrM\nFBchrgRJ1sVV09DUxokzVaSfqiItp5LiSl3XOecelowZ4kVEPzfCAl2xt7n8iitlukqOFKVxpCit\na4oLQD+XvgzzGsxQz0HkZZ0lIsC05sUJIcTv0dzaQcbZatJPVZJ+qpLcknNd53rYmjNiUG8G9+vJ\noH49cbK3BKCto43jFZmklpwgteQ4lT/s7qxSqQhy9SfSI5QhnmH0snU1Sp+EuBFIsi6umKaWdjJz\nazh+uopjpys5U1zPDwPcWFloiOzvRnigK4MCXfFys7vskRVFUcitLSCp+BhJxekU1HfucqdSqQjp\nGchQz0FE9Q7Hydqh6zV5V6pzQghxg2lt15Od9+M9u4qcglr0P0xH1JqpCQ9wJeyHe7avR4+uJ57l\nukq+O5XI0dITnKg42VXy1lprxTCvCCI9QhnkHoKthY3R+ibEjUSSdfG7NTa3k5lbzYkz1Zw4W8Xp\novqueedmGhXBvs6EBbgS6u/S9Zj0crXp28moOElK8XFSSo5T3VzbeX21GYPdBxDlGU6kRyj2lnYX\nuZIQQpi2ltYOsvNrfrhnV3Myv5YOfee8c7UKArwcCQ1wIdTfhf6+zlj8sF9FS3sLaWUnSCvLJL00\nk1JdRdc1vezdCXcPIcJjIIEufTFTa4zSNyFuZJKsi0tWc66FrNwaMnKryThTTW7pTyPnGrWKQC8H\nBvp33uiDfJywNP99/7xqmus6H6mWnuB4eTatHZ2VYWzMrRneJ4ohvcMI6xWMldbySnVNCCFuOOca\n28jOqyHjbDUZZ6s5XVTXNXKuVoFv7x4M7Nt5zw72dcbmh8X8BoOBs7UFHC/P5lh5FtlVZ9AbOve3\nsDSzILJ3GOG9+hPuPoCesieFEFedJOviFxkMCoUVDWTl1pCVV0NWbg2l1T/VRtaaqQn2dSbEz5mB\nfZ0J6uOEpcXv++ekN+g5VZ1LaukJ0kozyKv7aQMWd7ueRHiEEukRSj8XPzQyaiOEEBdQFIXS6sau\ne3Zmbg2F5Q1d5zVqFf6eDoT4OTOgr/N5ybmiKJQ2lLO/6CTHK7LJqMjpqn0O4OfoTWiv/oT3CibQ\n2Q8zjaQOQnQn+R8ngM4pLTkFtWTn15KdX8PJ/Foam9u7zttYmhHZ341gXyeCfZ0J8HLAXPv7E+eq\nxhrSyzJJK8vkeHk2Te3NQOf0llC3/gz2GMBg9wH0suv5h/smhBA3mpbWDk4V1XEyv5bsvBqy82uo\n17V1nbcw1xAW0DliHuLrTL8+jl0DKoqiUNFYReLZHE5U5JBRcbJrJ2cAV2snhnoOItQtiAE9+8k0\nQyGMrFuT9fb2dp555hmKi4tpa2tj3rx5uLu789BDD+Hj4wNAXFwct956K+vXr2fdunWYmZkxb948\nRo8eTUtLC08++STV1dXY2NiwbNkynJycSEtLY+nSpWg0GmJjY2WDjYvo0BvILz1HTkEtJwtqySmo\npahC1zWlBcDdxYaoYDf6+zoT7OOEl5vdZZdT/Lmm9mYyK05xrDyLY2VZlDSUd53raeNMrPcQwt1D\nGODWD0sziz/SPSGEuKHoDQpFFQ3k5P90z84vPYfhZ/dsFwcrYsM86O/rRLCPM74e9mh+WCekKAql\nugqyik6RWdn5p7qptuu1PSzsGOYVwUC3fgxwC8LNxkVKKwpxDenWZH3z5s04ODjw6quvUldXx/9n\n777joyqzBo7/JjOTMpn03kmA0GIoAQWRKkpZUBTpoiusIqIoShcU18JiWVZ5Fcuuui/wCghYWBFF\nRFkQESIEQieEhPReZlKm3fePhNEIAkLChMz5fj7zuTP33rk5T9BzT5773OeOHDmS6dOn88ADDzB5\n8mT7foWFhaxcuZINGzZQW1vLhAkT6N27Nx999BHx8fE89thjfPHFF7z11lssXLiQZ599luXLlxMV\nFcVDDz3EkSNH6Nix47VsWrNlsylkFxo4lVXGrn1lrNm1g9PZ5ZjqH2YBdTO13NC67ibQdtF+tG/l\nj4/+6gpms9XMieJ0UvOPk5p/jJMlZ7ApdT/TTeNGt/AbSAxpT9ewBEL1QXJiEEII6grrvOIqTp0t\n478/l/Hxjzs5nV1Gda3Vvo+rxoX2rfyJj/ajfYw/7Vv5EeDjYd9us9nIKM/mWOEpjhad4ljhKcpq\nfpmG0ctNz02RXekY1JaEkHZEeodJDhaiGbumxfqQIUMYPHgwUJeQ1Go1qamppKens23bNmJiYliw\nYAEHDx6ka9euuLq64urqSnR0NMeOHSM5OZm//OUvAPTt25e33noLg8GAyWQiOjoagFtuuYUffvjB\nKYt1q00hu6CStOxyTmWVkZZVfl6Sd3FR0SrUm7bRvsRH1xXnkSFeqK+i1xzAYrOSVnKGwwUnOFxw\nguNFafbpvFQqFW38W3FDSHsSQ9rLmEchhKCuMyWvxEhaVjlp9Tn7VFYZhl8NQVSpDESFeNE2ypd2\n0X60jfajVZh3g9m1qs01HMo/xvGiNI4XpXGiKJ1qyy8PMPJz9+HmqCQ6BLWlQ1AbIn3C5KmhQlxH\nrmnF5OlZN+eqwWBgxowZPPHEE5hMJkaPHk1CQgIrVqzgzTffpH379nh5eTX4nsFgwGAw2Nd7enpS\nWVmJwWBAr9c32Pfs2bPXslkOUWu2kpFbQXpOOWnZ5ZzOLudMbgW1pl8KTaXZBwAAIABJREFUc5UK\nIoPrknzrSB9sxnyG3nqTfTquq2G2mkkryeBI4UkOF5zgRNFpaq2/jJeM8gnnhuB2JIS0o2NQPDpX\nj4scTQghWjazxcbZ/EpOZ5c3yNvVtZYG+4UFetKtXTBtonyxVRUwdGAPdO5a+/ZzQ1pOFqVzsjid\n48WnySzPtj+1GSDcK4Segd3oENSG9kFtZFiLENe5a969mZuby/Tp05kwYQIjRoygoqICb++6x8Df\ndtttPP/883Tv3h2j8ZeZR4xGI15eXuj1evt6o9GIt7d3g3W/Xn85kpOTG7FlTUNRFMqrrBSUmckv\nM5NXWrcsrrQ0GGPuooIgHy2hEW6E+WsJ93clxFeLm9YFUIAy0LmRevDAFcVRazWRXZNPVk0+WdV5\n5NQWYlV++cMgwNWXjvrWRHuEE+0Rik7tUfdj8ywczTtyVb+Dq3U9/Ds3Nmdrs7O1VzRfiqJQVllL\nem6FvUMlPaeCrIJKLNZfkrZKBRFBelpH+BIX4UObKB/iInzRe/xSmCcnl2Ohhp9zjnOqJJ2TxWc4\nVXKmwUwtWrWW9oGtiQ+IIz4wjnYBcXJDqBAtzDUt1ouKipg8eTLPPPMMvXr1AmDKlCksWrSIxMRE\ndu/eTadOnUhMTOQf//gHtbW1mEwm0tLSiI+Pp1u3bnz//fckJiayY8cOkpKS0Ov1aLVaMjMziYqK\nYufOnZd9g2lSUvN6DH2F0URmXgUZeZVk5NUl+oy8ygazsgDo3DV0aOVPXIQPceE+xIb7EB3qdcnZ\nWZKTky+rzedmCjhedJoTRac5XpRGZnkOCnUnGhUqWvlG0j6oDR2C2tAxqG2zPTlcbptbEmdrs7O1\nF+SPk+aiqsZMZl7lb3J2RYNZWaBuZpbWEb60CvemdYQPsRE+tAr1Pm+62ypzNYcL0kkryai7cpl7\ngvJTlQ32CfEMtE+hGB8YR4xPhAwrFKKFu6b/h7/99ttUVFTw1ltv8dZbbwEwb948XnrpJbRaLYGB\ngTz//PPo9XomTZrEhAkTUBSFmTNn4ubmxvjx45k7dy7jx49Hq9Xy2muvAfDcc88xa9YsrFYrt9xy\nC507d76WzfrDyg21nM2v5Gx+JZn5lWTm1b0vraxtsJ+Lqu6SaJf4IFqFedMqzJvYcB+C/Twa9ZJm\njaWW0yWZnCxO50TxaU4Up1P+q5uRtGot7YNa0z6wrjiPD4iTYS1CCKdhqDaTVZ+vf523i8qqz9s3\nNEBH+xh/WoX/krNDAzzPuy/IYDKSmn+K06VnOV2aSXpJZoMngwJ4uLjRNawTrf1jaOPfijb+rZpt\nx4gQoulc02J94cKFLFy48Lz1a9asOW/dmDFjGDNmTIN1Hh4evPHGG+ft26VLF9atW9d4gTYCq02h\nsLSKrAIDWQWV9UsDZ/MrqTCazts/2M+D7h1CiAn1IjrUi+hQb6JCvBplfPmv2Ww2sipyOVWSwani\ndE6WnOFseY59phYAfw9fekZ1Iz4gjvaBrWnlGyk9N0KIFs1mUygqryarwED2r/L2hTpSAPy93ekS\nH0RMqDfRoV60CqvL2R6/6S1XFIWS6jLOlGWRXnqWM2VnOVN6lgJjcYP9dFoPEoLbEecfTWv/GFr7\ntyLzaDrdu3dv0nYLIZo/qcCugqIolBtMZBcayC0ykF1oJLvQUP/ZiPlX0yNCXU95iL8n7WP8iQrR\nExlcV5hfKME3BptiI6+ygNOlmZwuyeRA1mH+cWYltZZfTjxatZa2/q1oGxBL28BY2vrHEujp3+ix\nCCFEc1BZVZezcwqN5BQayCo0kFNoIKfI2OAG/XOC/Dzo1j6Y6BAvIoO9iAn1IjLEq8HY8nNMFhOn\nSzLJLM/mTFkWmWV1S4PJ2GA/Lzc9iSEdiPOPppVvFHF+UYRcYArbs6ozjdp2IcT1SYr1S1AUhdLK\nWnKLjHWv4rplTlFdQV5VYznvOx5uGmLCvIkM0hMZrCciWE9UsBdhgZ5X9dTPi7HarORU5pNeepb0\n+suqZ0rPNpi+S4WKKJ9w4vyjaeMfQxv/WKJ9I9C4NE1MQghxrZ3rRMkr/iVfn8vZOYXGBtMinuPm\nqiY80JPIYC8igs7lbD0RQfrzxpVD3RXKnMp8zpbnkFmWzdnyXDLLs8k1FDSYlQUgVB9Ep+B4Ynwj\naeUbSaxfFP4evjI7ixDiskmxTt1jm/NLq8gvqSK/uIq8YiN5xVXkldQtTebze1tcNS6EBnoSHuhJ\nRJCesEA94UGeRAbp8fVya9JEXG2uIbM8m4yyLM6UZnGmLIuM8mzM1l/NzYuKcK8Q+yXVOL9oSs8U\n0atHzyaLSwghrgWT2UrBuZxdUlWXr4uN9tevny1xjkatqruy2cq/riAP8iQ8sK4w9/d2v+ATmq02\nKzkVeWRV5JFVkUtWeS5nK3LJqcjDbGvYUaPTetAuII5onwhifCOJ8Y0g2iccd617k/0ehBDOwemL\n9Zc+/Indh3IvuE3nriEyWE9YgCehATrCAvWEBeoIC9AT4HPh5N6YbDYb+cai+sI8277MNxQ22E/t\noibKO4xWflHE+kYR6xdNK9+I804SyZnlTRqvEEI0pTnL/0t+iZGSivPHkENdD/m5fB0aUNeZEhbo\nSWiAJ0F+ut99+Fu1uYacsnyyK/LIqcwju6Lufa6hAKutYeHvqtYS5RNOpE8Y0T51BXmkTxgBHn7S\nWy6EaBJOXaxn5FWw+1Auwf46usYHEeKvI8S/LsmHBnjipdNek+RrU2wUV5VytjyXrIocMstzyCrP\nJasi1/4U0HP0rp51l1R9ImjlF0Ur3ygivUPlBlAhRIt3PLOUQF8PbmgdSGiA7ryc7aN3/d2cbbFZ\nyaksIreygNzKfHLOLSvyKa05vyPDQ+NOrG8UEd6hRPmEEekdRoR3KEGeAfL0TyHENeXUFd43P2UC\nMHl4J3p3Dm/yn2e1WSkwFpNdkWu/rJpdf4n11zd9AmhdNER6hxHlE060b3h9D04Efh4+0nsjhHBK\nG/82HLX69wtls9VMobGYPEOh/ZVvKCS3soACY3GDWa/OCdT5kxjSgXCvECK8Q4nwDiHcK1RyrRCi\n2XDqYv275Cy8dFpu7BTSqMc11BrJqcxv+KrIv+AlVY2Lhoj6k0SkTzhRPmFEeYcRog9CLTd+CiGE\nnYuLioqaSgqMxRQYi8g3FJFvKCS//n1xdel5N3gCeLvpaRsQS5g+mFCvIMK9Qgj3CiFEH4SbxtUB\nLRFCiMvn1MV6maGWEX3i0Gr+eFFsNFXV9dgYCsitLCSvsoBcQwF5lQVU/maaLgAPrTtxvlGEeYfY\nL6dGeIcS4hkoRbkQQlyG+zfOpMZy4fHq/h6+tA9sTYg+iFB9ECH6wLriXB8sD3ETQlzXnLpYBxjU\nI/qC622KjZLqMgoMdT045y6nnuvJuVBBrla5EKIPom1gHOH6YMK9Qwir78HxdfeWS6pCCHEVQjwD\nCdIHEuwZQIhnICH6QIL1gQR7BuKqPn/ecyGEaAmculiPiXTF4lbMD5kn6y+rFlNoLKLAUExhVQkW\n2/lzqKtd1ATrAmgTEEtofQ9OmFcwoV7BBOn8pZdcCCGayCtDzn8CthBCtHROXawXhH/Owm3nr/dy\n0xPjG0Fwfc/NuR6cEH0QAR5+uLjITABCCCGEEKLpOXWx3i20M+HegQR5BhCsDyRI50+wZ4A8xEII\nIYQQQjQLTl2sz+v3sKNDEEIIIYQQ4nfJeA4hhBBCCCGaKSnWhRBCCCGEaKakWBdCCCGEEKKZajFj\n1m02G4sXL+b48eO4urrywgsvEBMT4+iwhBBCXIDkbCGEuDwtpmf9m2++wWQysXbtWp566in+9re/\nOTokIYQQv0NythBCXJ4WU6wnJyfTp08fALp06UJqaqqDIxJCCPF7JGcLIcTlaTHFusFgQK/X2z+r\n1WoslvOfQCqEEMLxJGcLIcTlaTFj1vV6PUaj0f7ZZrOh0Vy8ecnJyU0dVrMjbXYOztZmZ2tvSyA5\n+/JIm52DtFlcTIsp1rt168b27dsZNmwYBw4cID4+/qL7JyUlXaPIhBBC/JbkbCGEuDwqRVEURwfR\nGM7NLHDixAkUReGll16idevWjg5LCCHEBUjOFkKIy9NiinUhhBBCCCFamhZzg6kQQgghhBAtjRTr\nQgghhBBCNFNSrAshhBBCCNFMtZjZYC6XMzzi2mw2s2DBArKzszGZTEybNo02bdowb948VCoVbdu2\n5dlnn8XFpeX9rVZcXMzdd9/N+++/j0ajafFtfuedd/j2228xm82MHz+eG2+8sUW32Ww2M2/ePLKz\ns3FxceH5559v0f/OKSkpvPrqq6xcuZKMjIwLtnPdunWsWbMGjUbDtGnTGDBggKPDblTOkLPBefO2\ns+VscK68LTm7kXK24mS++uorZe7cuYqiKMr+/fuVhx9+2MERNb7169crL7zwgqIoilJaWqr069dP\nmTp1qvLjjz8qiqIoixYtUr7++mtHhtgkTCaT8sgjjyi33367curUqRbf5h9//FGZOnWqYrVaFYPB\noLzxxhstvs1bt25VZsyYoSiKouzcuVN59NFHW2yb3333XWX48OHK6NGjFUVRLtjOgoICZfjw4Upt\nba1SUVFhf9+SOEPOVhTnzNvOlrMVxfnytuTsxsnZLeNPmT/AGR5xPWTIEB5//HEAFEVBrVZz+PBh\nbrzxRgD69u3LDz/84MgQm8TSpUsZN24cwcHBAC2+zTt37iQ+Pp7p06fz8MMP079//xbf5tjYWKxW\nKzabDYPBgEajabFtjo6OZvny5fbPF2rnwYMH6dq1K66urnh5eREdHc2xY8ccFXKTcIacDc6Zt50t\nZ4Pz5W3J2Y2Ts52uWHeGR1x7enqi1+sxGAzMmDGDJ554AkVRUKlU9u2VlZUOjrJxbdy4EX9/f/tJ\nHWjxbS4tLSU1NZXXX3+d5557jlmzZrX4Nut0OrKzsxk6dCiLFi1i0qRJLbbNgwcPbvBEzwu102Aw\n4OXlZd/H09MTg8FwzWNtSs6Qs8H58rYz5mxwvrwtObtxcrbTjVm/kkdcX49yc3OZPn06EyZMYMSI\nEbzyyiv2bUajEW9vbwdG1/g2bNiASqVi9+7dHD16lLlz51JSUmLf3hLb7OvrS1xcHK6ursTFxeHm\n5kZeXp59e0ts84cffsgtt9zCU089RW5uLvfffz9ms9m+vSW2+Zxfj+k8187f5jOj0djgRNASOEvO\nBufK286Ys8H58rbk7DpXm7Odrme9W7du7NixA+CyHnF9PSoqKmLy5MnMnj2be+65B4COHTuyZ88e\nAHbs2EH37t0dGWKjW716NatWrWLlypV06NCBpUuX0rdv3xbd5qSkJP773/+iKAr5+flUV1fTq1ev\nFt1mb29ve2Lz8fHBYrG0+P+2z7lQOxMTE0lOTqa2tpbKykrS0tJaXE5zhpwNzpe3nTFng/PlbcnZ\njZOzne4Jps7wiOsXXniBL7/8kri4OPu6p59+mhdeeAGz2UxcXBwvvPACarXagVE2nUmTJrF48WJc\nXFxYtGhRi27zyy+/zJ49e1AUhZkzZxIZGdmi22w0GlmwYAGFhYWYzWbuu+8+EhISWmybs7KyePLJ\nJ1m3bh3p6ekXbOe6detYu3YtiqIwdepUBg8e7OiwG5Uz5Gxw7rztTDkbnCtvS85unJztdMW6EEII\nIYQQ1wunGwYjhBBCCCHE9UKKdSGEEEIIIZopKdaFEEIIIYRopqRYF0IIIYQQopmSYl0IIYQQQohm\nSop1IYQQQgghmikp1oUQQgghhGimpFgXQgghhBCimZJiXQghhBBCiGZKinXRbH300UfccccdDBs2\njD/96U/Mnj2bnJycy/ruwoULSU1NveKfXVlZyX333XfF3/8jNm/ezJ133tlg3bhx4+jTpw+/fsDw\nQw89xOrVq//QsQcOHMihQ4caJU4hhACwWq188MEH3H333dx5550MGzaMV155BZPJdMXH3LZtGy+8\n8AIA3333Ha+//volvzNp0iS2bNnyu9u//PJLRo8ezZAhQxgxYgTTp0/n+PHjlxXP//zP//DNN99c\nXvC/Y/LkyZSUlJy3fs+ePSQmJnLnnXfaX4MGDeLhhx+mtLT0ksf99fnt6aef5ocffriqOEXzJ8W6\naJaWLl3K119/zTvvvMPmzZvZtGkTvXv3ZuzYseTl5V3y+z/88EODQvePKi8vv2ZFbu/evUlLS6Os\nrAyAkpISCgoKCAgIsMdgNpvZu3cv/fv3vyYxCSHE71m8eDH79+/n3//+N5999hnr168nPT2dp59+\n+oqPeeutt7Jw4UIADh06RHl5+VXFuGrVKt59912WLFnCli1b2LRpE2PGjGHy5MkcPXr0kt/fs2cP\nFovlqmLYtWvX726Ljo7ms88+s7+++uorXFxceP/99y953F+f31588UVuvvnmq4pTNH9SrItmJy8v\njzVr1vCPf/yDsLAwAFxcXBg5ciSDBw/mnXfeAc7vNT73edmyZRQUFDBr1ixSUlKYNGkSixcv5p57\n7uHWW2/ljTfeACArK4uuXbvav//rz/Pnz6empoY777wTq9XaIL558+Yxf/58xowZw6BBg3j22Wcx\nm80ApKWlMXnyZHuP0/r164G6xH/HHXcwbtw47rjjjgY9UD4+PiQkJLBv3z6grlepd+/e9O/fn2+/\n/RaAgwcPEhERQUREBGazmeeff55hw4YxYsQInn76aQwGg/138MQTTzB06FC2bt1q/xlGo5GJEyfy\nyiuvAJCfn8/06dO5++67GTFiBG+//bb9d9CvXz8mT57M4MGDKSgouPJ/SCFEi3P27Fk2bdrESy+9\nhJeXFwA6nY7nnnuO2267DYD09HQeeOABxo4dy4ABA5g2bRq1tbUAdOzYkaVLl3L33XczZMgQvv76\nawA2btzI1KlTSUlJYc2aNWzevJlly5ZRVVXFnDlzGDNmDIMHD+buu+/m9OnTF43RZDKxbNkyXn31\nVdq0aWNf369fPx588EGWLVsGnN8zf+7z6tWrSU1N5eWXX2br1q0Xzfnt2rVr0Ht+7vP8+fMBuP/+\n+8nNzb3k79VgMFBSUoKPjw8ABw4cYOLEiYwePZr+/fuzYMECgAue38614ZtvvmHkyJGMGDGC8ePH\nc/DgwUv+XHF9kGJdNDspKSnExcXZk9av3XzzzSQnJ1/0+zNnziQ4OJhXX32Vzp07A5CTk8NHH33E\nJ598wubNm9m+fftFj7FkyRLc3d357LPPUKvV520/duwYH3zwAZs3byYtLY21a9disViYMWMGTz31\nFBs3bmTVqlW8//77HDhwAICTJ0/y2muv8fnnn+Pq6trgeH379mXPnj0AbN++nf79+zco1nfv3k2/\nfv0AWLFiBQUFBfYeGZvNxssvv2w/Vtu2bfnyyy/tJ06DwcCUKVPo168fs2fPBmD27NmMGjWKjRs3\nsn79en744Qc2b94M1P2x9Mgjj/DVV18RHBx80d+TEMK5HDlyhDZt2qDX6xusDwoK4vbbbwdg3bp1\njBw5krVr1/L111+TlZXFd999B9QNofHx8WHjxo384x//YMGCBQ2K3c6dOzNu3DiGDRvGzJkz2bFj\nB97e3qxbt46vvvqKhISESw4HPHHiBFqtltatW5+3rVevXpc8h0ycOJGEhATmzJljz6MXyvkXs2TJ\nEgD+/e9/2zudfi0zM5M777yT4cOH06tXL/785z8zcOBA7r//fgD+93//lxkzZvDxxx/zxRdf8O23\n35KamnrB8xvUdRQ9++yzLF++nE2bNjFjxgweeeQRe0eOuL5pHB2AEBfye5cfTSYTKpXqDx9v7Nix\naLVatFotQ4YMYefOnbRt2/aK47vrrrvw9PQE4M4772Tbtm307NmTzMxMew8IQE1NDUeOHKF169aE\nhYURERFxweP17duXp59+GpPJxL59+3j55Zdxc3OjqKiIoqIi9uzZw4wZMwDYsWMHM2fORKvVAnW9\nQdOnT7cfq3v37g2OPXv2bDQajX0MflVVFXv37qW8vNw+LrSqqopjx46RmJiIRqOhS5cuV/y7EUK0\nXC4uLthstovuM3v2bHbt2sV7773HmTNnKCgooKqqyr793nvvBaB9+/bEx8ezd+/e3z3WkCFDiIqK\nYuXKlWRkZPDTTz81uCL6exr7HHKhnH+uHVfi3DAYgA0bNrBs2TJuvfVWe17/29/+xo4dO3j77bc5\nffo0NTU1DX6Hv/Xjjz/Ss2dPoqKigLo/Svz9/UlNTaVnz55XHKdoHqRYF81Oly5dyMjIoLCwkKCg\noAbb9uzZ0yBR/3pc+sVubtJofvlPXVEUXFxcUKlUDb5/7rLm5fh1b/u541mtVry9ve0JGKCoqAgv\nLy8OHDiATqf73eN16tSJ4uJivvnmGxISEvDw8ACgT58+7Nq1i9OnT9vb/dsTpc1maxD7b3/OtGnT\n2LNnD6+88gqLFi3CZrOhKApr1qyx/5ySkhLc3NwoLS3F1dW1we9LCCHOSUxM5PTp0xgMhga96/n5\n+SxatIg33niDefPmYbVaGTp0KP379yc3N7dBrv11/rTZbBe8ennO//3f/7Fu3TomTpzIiBEj8PX1\nJSsrq8E+H330EWvWrAEgISGBZ555BoCjR4/SoUOHBvte7BxysXPAhXL+b13pDbajRo0iJSWFJ598\nkg0bNqDRaJg4cSLt27enT58+DB06lJSUlIveh3WhbYqiXPW4e9E8yDAY0eyEhIQwadIknnzySfLz\n8+3rN2zYwNdff82DDz4IYO81gLrxfYWFhfZ91Wp1gyT1+eefY7PZKC8v58svv2TgwIF4e3tjNps5\ndeoUQIMx3hqNBqvV+rvJ8csvv8RkMlFbW8snn3zCgAEDiI2Nxc3NzV6s5+bmMnz48MualUalUtG7\nd2/efvvtBjeR9u/fn/fff58bb7zRXkD36dOHNWvWYDabsdlsrF69mt69e//usRMTE1m8eDFbtmxh\n586d6PV6unTpwgcffABARUUF48ePZ9u2bZeMUwjh3EJCQhgxYgQLFiywD7EwGAwsXrwYX19f3N3d\n2blzJ9OnT2fYsGGoVCpSUlIa3Pvz6aefAnD48GHS09Pp0aNHg5/x6/y9c+dO7rrrLkaPHk1sbCzf\nfvvtefcRjR8/3j4s8MUXX8TNzY1Zs2YxZ84c0tLS7Pt99913/Otf/+Lxxx8HGp5DMjMzG8wU89tz\nyIVy/rljnLt36tfnkAsd42KeeuopCgoKWLVqFeXl5aSmpjJr1ixuv/128vPzyczMtHfUXOi4PXv2\nZNeuXZw9exaoGzqZm5vbYKiMuH5J95lolp566ik+/vhjpk2bhslkwmQyccMNN7BmzRr7UJJZs2ax\nePFi1q5dS6dOnejUqZP9+4MGDWLmzJn2qcBqamq45557MBqNTJgwgV69egF1l2sffPBB/P39GTJk\niP37QUFBdOzYkaFDh/LRRx/h5+fXID53d3cmTJhARUUFgwcPZtSoUbi4uPDWW2/x4osv8s9//hOL\nxcLjjz9OUlKSfTz6xfTt25dPP/3UfhIAuOWWW5g9ezYPPPCAfd20adNYunQpI0eOxGKxkJiYyKJF\niy56bH9/f5599lkWLFjApk2bePXVV3n++ecZMWIEJpOJ4cOHc8cdd5zXYyWEEL/17LPP8tZbbzFu\n3DjUajUmk4lBgwbx2GOPAXX3DU2fPh0fHx88PDzo0aMHmZmZ9u///PPPrFu3DpvNxrJly867P6lX\nr1489thjaLVaJk+ezDPPPMPGjRtRq9V06tSJEydOXDLGcePGERgYyMKFC6moqMBisRAbG8v7779v\n722fNm0a8+bN4/vvvycuLq7BEMIBAwawdOlSe2/7hXI+1E2j+Ne//hVvb29uvvnmBleDb7vtNiZM\nmMBbb71FfHz8ReP18fFh1qxZLFmyhOHDh/PQQw9x11134evri5+fH926dSMjI4NevXqdd34DaNOm\nDc8++yyPPvooVqsVd3d33n77bftNwOL6plKuZn47Ia4DkyZNYuLEiQ2K8asxb9482rZty5QpUxrl\neEII4SzatWvH7t278ff3d3Qol01yvnA0GQYjhBBCCCFEMyU960IIIYQQQjRT0rMuhBBCCCFEMyXF\nuhBCCCGEEM2UFOtCCCGaRHFxMf369WswfR7At99+y6hRoxg7dizr1q1zUHRCCHF9cNqpGy/1uGEh\nhGjOkpKSHB3CRZnNZp555hnc3d3PW79kyRLWr1+Ph4cH48ePZ+DAgQQGBl70eJKzhRDXuyvN205b\nrEPzP9k1tuTkZGmzE3C2Njtbe+H6KFyXLl3KuHHjePfddxusT0tLIzo62j63dlJSEnv37mXo0KGX\nPOZbXxY3SazNVa3JhJurq6PDuKakzc7BGdv8yNCAK/6uUxfrQgghGt/GjRvx9/enT58+5xXrBoOh\nwYNaPD097U/CvJTaK3yc+/VM2uwcpM3iYqRYF0II0ag2bNiASqVi9+7dHD16lLlz57JixQqCgoLQ\n6/UYjUb7vkaj8bKfsrjqr8ObKuRmyVmvGkmbWz5nbfOVkmJdCCFEo1q9erX9/aRJk1i8eLH9Meyt\nW7cmIyODsrIydDod+/btkydDCiHERUixLoQQoslt2rSJqqoqxo4dy7x585gyZQqKojBq1ChCQkIc\nHZ4QooVTFAWLzYLJaq5/mRq8N1st9essDT6b679jrn+ZbJYG7y1Ws30fi9WCyVa3NNvqXharBRcX\nFx6NnnDFsUuxLoQQ1xGT2eroEP6QlStXAnU96ucMHDiQgQMHOiokIUQzZLVZqbHUUmsxUWOtW9Za\naqmxmKit/1xjqcVkNVFjMdUvazFZTNRaTdRazfb3JktdIV5rrduvtr4gVxSlyeJXu6jRumjqXmot\nWhcNHlp3tC4aPF11V3XsZlmsp6Sk8Oqrr7Jy5UpmzpxJUVERANnZ2XTu3Jlly5Y12P+uu+5Cr9cD\nEBkZyZIlS655zEII0dRKK2pY/M8fua/f5Y3xFkKIpmK2mqm21FJ6ALBnAAAgAElEQVRtrqbaXEO1\npca+rDHXUm2ppca+rpYaSy015hpqLLUUl5ewuuCL+mK87mW2WRolLpVKhavaFXe1K65qLV6uegI0\nWlzrP7vVL13tSy3a+qWr2hWtWlO/TWNfr3X5ZT+tuq4gP7ev1qVunYvq4o8ualFj1t977z0+//xz\nPDw8AOyFeXl5Offddx/z589vsH9tbS2Koth7b4QQoiXKLjTwzLu7KSipAqRYF0JcGUVRMFvNGM3V\nGM1VVJnql+Zqqkw1dcv6bdXmus/V5hr7+6r6AtxyFcW1WqVGp7jjpnHD190bN40bbhpX3DVuuGvc\ncNO44a52bbDeTe2Km6Z+3bn3arf6ZX0hrnFF46JBpVI14m/M8ZpdsR4dHc3y5cuZM2dOg/XLly/n\n3nvvJTg4uMH6Y8eOUV1dzeTJk7FYLDz55JN06dLlWoYshBBN6lhGCX/95x4qq0xMGNweuLypDoUQ\nLZfZasZgqsJgMta/qjDUGjGaq+yfjb9+mavtyysptN01bui0Hni76QnxDESn9cBD646Hxr1uqXXD\nXfPLZ3eNm327u8YNd60bHpq6Aj1l/wGnmw3majS7Yn3w4MFkZWU1WFdcXMzu3bvP61UHcHd3Z8qU\nKYwePZozZ87w4IMPsmXLFjSaSzfteniwSGOTNjsHZ2tzS27vsaxq1u8qwWpTGHGjHxbXFKD1Jb8n\nhLh+mCwmKmoN9ldlrYFKk4HKWmP9eyOGc59NRgy1Rmqtlz9PudpFjV6rQ+fqQbBnADpXHTqtB55a\nj/r37nhqdXi6eqDTnv9y17jh4nLxYR6i6TS7Yv1CtmzZwvDhw1Gr1edti42NJSYmBpVKRWxsLL6+\nvhQWFhIWFnbJ4zrbX3XOOq+ptLlla8nt/WLnadb9NwutVs38+5PIUx9iVcp2OnpJsS5Ec2axWamo\nqaS8tpLymgrK699X1FZSXlNZX5RXUlFTSVl1BeZTl9fT7aFxR++qI9w7BC9XPZ6uOrxcPdG76fDU\neuLl5oneVYenqw5PrQ69qyeerjpc1doWNzTEmVwXxfru3buZNm3aBbetX7+eEydOsHjxYvLz8zEY\nDPb5fIUQ4npksyn87+YjbNh+Cl+9Gwun9ODH4u18cWIb/h6+jg5PCKekKAoGk5HS6nJKa8opq66g\nrObcq5yy+qK8rKYCg8l4yeNp1Vq83fT4u/oQ6heCl5se7/qX3tXzvPd6V0806uuibBON7Lr4V09P\nTycqKqrBujlz5vDEE09wzz33MH/+fMaPH49KpeKll166rCEwQgjRHJnMVv7+0c/sSskhIsiTp6f0\nYOOp9ezK3EeEdyhP93uMjKPpjg5TiBal2lxDSXVZ3auqjNKackqqyiipKaO0upyy6nJKayouOdZb\n7+qJj7sXMb4R+Lh54ePujY+7l/29t5se7/rP7ho3VCpVi746KBpHs6xqIyMjWbdunf3zF198cd4+\nL7/8sv39a6+9dk3iEkKIplRuqOXFD37i6JkSOsUFMPPeG3jn5w9ILThOu4A45vZ5BL2bJxlIsS7E\n5aqx1FJcVUpRVUn9spTiqlJKqkspriqjuLqUanPN735frXLB18OHVr6R+Hn44Ofug6+HD37u3vh6\n+ODj5oVf/VJ6vkVTkP+qhBCiGcguNPDcez+SW2ykb9cI7r8zlld2LSejPJseEZ15vOdkXDWujg5T\niGbl3NCUQmMxBcZiiqpK6pelFBtLKKoqofIiQ1I8XXUE6QLw9/DB38MXf51f3dLDF3+PuqLc201/\nyTm0hWhKUqwLIYSDHUor4qUPfsJQbWbMoHj69vRm8Xd/p6iqhNtb92Vyt7EyE4NwWjWWWgoMReQb\ni35ZGospNBRRUFVCraX2gt9zVWsJ0gUQ6xdNoKc/gTo/Ajz8CND5EVhflLtr3a9xa4T446RYF0II\nB9q2N5P/+fgAigKPj+1KWKsant3+GlXmasbdcAd3dRgisziIFs9QayTPUMiRylOkH84jr7KQfEMh\necYiymsqLvgdD407oZ6BBOkDCdb5E+gZQJCnP0H1771cPeX/HdEiSLEuhBAOYLMprNpylI+3ncTT\nQ8uCP/egQpvOi9+vREHhsZseoE+rGx0dphCNpsZSS25lAbmV+eTUL/MqC8g1FDacPSW/buGiciFI\n509MSAeC9YGEeAYSog8k2DOAYM9APF11UowLpyDFuhBCXGM1tRb+/tHP7D6US1igJ4sm38je4l2s\nSf4cD607s3tPJSGkvaPDFOIPUxSF0ppysivy7K+cynxyKvIpri49b3+1i5oQz0DiA+MI0wdjKq3m\nxo5JhOiDCNT5o3E5//kqQjgbKdaFEOIaKiqr5oUP9pCWVc4NrQOZNakba4+uZ3v6DwTq/JnfdzpR\nPuGODlOIi1IUheLqUrLKc8mqyK1f5pFVkUuVufq8/f09fLkhpB1hXiGE17/CvIIJ1Pmj/lVBnpyc\nTOfQjteyKUI0e1KsCyHENXI8o4QXP/iJ0spabrsxmvtGtGX5T+9yKP8YcX7RzO3zCH4ePo4OU4gG\nDLVGMsuzySzPIbMsm7PlOWRW5Jw33aFa5UKoVzA3hLQnwjuECK8wIrxDCfcKlhs5hbgKUqwLIcQ1\n8N3PWbyxdj9Wq42/3JlAz67ePPf9a2RX5JEUfgOP95qCu8bN0WEKJ2az2cgzFHCmLIszZVlklGWR\nUZZNSXVZg/1cVC6E6YOJCgkn0ieMKJ8worzDCfUKlmErQjQBKdaFEKIJWW0KKzcfYcP2U+jcNSz4\n8414Bxl5etvLVNQaGB5/K/d2vrvFTc1otVpZuHAh6enpqFQqnnvuOeLj4+3bP/zwQz7++GP8/f0B\neO6554iLi3NUuE7HbDWTWZ5DeulZzpSeJb3sLJll2dRaTQ328/fwpWtYJ6J8Ioj2CSfaJ4II7xC0\naq2DIhfC+UixLoQQTcRYbebV1cnsO5pffyPpTWTUHGXZ9pVYFRt/SRrH7W36OTrMJrF9+3YA1qxZ\nw549e1i2bBkrVqywb09NTWXp0qUkJCQ4KkSnYbFayCzP5lRJBqdLMjhdmsnZ8hysis2+j1rlQqR3\nGDF+kbTyrXtF+0bi7aZ3YORCCJBiXQghmkR2oYEX3t9DVoGBrvFBzLq3G1+e3sqGI5vx0Loz5+YH\nW/SNdIMGDaJ///4A5OTk4O3t3WD74cOHeffddyksLKR///5MnTrVAVG2PDbFRm5lAaeKz3CqpO6V\nUZaNxWax76NVa4nziybWL5pYvyhi/aKI8gmX3nIhmikp1oUQopHtPZLHq6uTqaqxMLJfa8YPbsPb\nySv58ezPhHgGMrfPI0T6hDk6zCan0WiYO3cuW7du5Y033miw7U9/+hMTJkxAr9fz6KOPsn37dgYM\nGHDR4yUnJzdluM3Spdpcba0hp6aQnJoCcmoKyK0tpNb2y1AWF1wIdvMnzC2IUPdAQt0CCXD1Q62q\nH3ZVBqVlRZRS1JTN+EPk39k5OGObr5QU60II0UgUReHjbSdZteUoWrULT07oRmIHPc99/3fSS8/S\nIagNT/We6lRDC5YuXcqsWbMYM2YMX3zxBTqdDkVRuP/++/Hy8gKgX79+HDly5JLFelJS0rUIudlI\nTk5u0GZFUcipzOd4URrHi05zoug02ZV5Db4Tpg+mTUAr2gbE0sa/FTG+EddVj/lv2+wMpM3O4Wr+\nOJFiXQghGkFVjZl/rNnP7kO5BPq48/QDN6HoSpm/9W+U1VQwMPZm/pI0Ho3aOdLup59+Sn5+PlOn\nTsXDwwOVSmW/idZgMDB8+HA2b96MTqdjz549jBo1ysERNz9WxcbJ4nSOFp7iWFEax4vSqKw12Ld7\naNy5IaQ98QFxxAfG0tY/Fr2bpwMjFkI0Bec4awghRBPKKqjkpQ9/4my+gRtaBzJnUncOFh/gnW9X\nYVGs/LnraIa2HeBUj0a//fbbmT9/PhMnTsRisbBgwQK2bt1KVVUVY8eOZebMmdx33324urrSq1cv\n+vVrmTfa/hFmq5lTJWc4UnCSI4UnOFaQhjntl7HmQTp/OsfcSPvAONoFtibKO7zFzSIkhDifFOtC\nCHEVdh/KYdlH+6mutXBn39bcN6wdaw5/zn+Of4NO68HsXtPoEtZybyT9PTqdjtdff/13t48cOZKR\nI0dew4iaH4vNyqniMxwuOM7hghMcLz6N2Wq2bw909aNb1A20D2pD+6DWBOr8HRitEMJRpFgXQogr\nYLXaWLXlGOu/PYmbq5qnJibRPcGPV354m5S8I4R7hTCnzzTCvUIcHapoJhRFIbM8m4N5x0gtOMaR\nwlPUWmrt22N8IugYHE+n4HjaB7XhZOpxpxvXK4Q4nxTrQgjxB5Ubanll1T5SThYRFujJgj/fiFpn\nYP7WpeQbCukalsDjPSejc/VwdKjCwUqryzmYd5SUvCMcyj9GeW2lfVu4VwgJIe1ICG5Hx+B4p7rx\nWAhx+ZplsZ6SksKrr77KypUrOXLkCFOnTqVVq1YAjB8/nmHDhtn3tdlsLF68mOPHj+Pq6soLL7xA\nTEyMgyIXQrR0x86U8Lf/3UtxeQ03dgxl5oRuHCk+zPJvPqTWUstdHYYwNmGEjCV2UharhWNFaRzI\nO0JK7mEyyrPt23zdvekTcyOJIR1ICGlHgM7PgZEKIa4Xza5Yf++99/j888/x8KjrkTp8+DAPPPAA\nkydPvuD+33zzDSaTibVr13LgwAH+9re/NXhKnhBCNAZFUdj039O8v+kwiqJw37AO3NW/NR8f/g+f\nHN2Cm9qVmTf/hV5RMmzB2ZRUl7E/J5X9uYc5mH+UmvqhLVoXDYkhHegc2pHOoR2I8gl3qpuMhRCN\no9kV69HR0Sxfvpw5c+YAdY+kTk9PZ9u2bcTExLBgwQL0+l8uFSYnJ9OnTx8AunTpQmpqqkPiFkK0\nXMZqM8vXHWDXwRx89W7MnpREXJSOl3e+xYG8I4R4BjLrlqnE+EY6OlRxDdgUG6dLMvk59xDJOYdI\nLz1r3xamD6ZzWEe6hnWiY1A8bhpXB0YqhGgJml2xPnjwYLKysuyfExMTGT16NAkJCaxYsYI333yT\nuXPn2rcbDIYGxbtarcZisaDRXLppzvj0LGmzc3C2Njdle3NLTXz83xJKDBaig1y5p7c/2QX7+Z+U\nbyizVBKni2RE8ACK0vIpIr/J4hCOZbKaSc0/zr7sFJJzDlFaUw6A2kVNYkgHuoUn0DUsgTCvYAdH\nKoRoaZpdsf5bt912G97e3vb3zz//fIPter0eo9Fo/2yz2S6rUAd5Gp4zkDa3fE3VXkVR2PJjBu9v\nPYTZYmPUgDZMGtqBXWf3smrffzBbzdzdcShjOg2/5uPTne2PMUepMlezPzeVn7JS2J+bah/e4uXq\nSd9WN9E9PJHOoR3x0Lo7OFIhREvW7Iv1KVOmsGjRIhITE9m9ezedOnVqsL1bt25s376dYcOGceDA\nAeLj4x0UqRCipaiqMfPmxynsOJCNl07LvPt70LVdAB8cWMvXp3bgoXVnZq8pdI/o7OhQRSMz1BrZ\nm53Cnqz9HMw/hsVW91CiEM9ABsXdQo/IzrQLaC03EAshrplmX6wvXryY559/Hq1WS2BgoL1nfc6c\nOTzxxBPcdttt7Nq1i3HjxqEoCi+99JKDIxZCXM/Sssp4eeU+coqMtI/xY/ak7ri41vDst3/nVMkZ\nonzCmdV7qgx3aEEMJiN7s1LYfTaZQ/nHsCo2oG7e8xsju3BTZFe5OVQI4TDNsliPjIxk3bp1AHTq\n1Ik1a9act8/LL79sf//Xv/71msUmhGiZFEXhPzvTeX/TYSxWG3f3b8OkYR04XHiMN757n0qTkT4x\nN/Jg9wm4a9wcHa64StXmGvZmp/BD5j5S8o9itVkBiPWLoldUEjdFdpU/yIQQzUKzLNaFEOJaqjCa\nWL5uPz+m5uGjd2Xm+G50jQ9i/ZHNbDi8GbWLmr8kjee21n2kd/U6ZraaOZB3hJ0Ze9mXcxCz1QxA\nK99Ibo7uTs+oboTqgxwcpRBCNCTFuhDCqR1KK+K11ckUl9eQ2CaQJyd0Q+Nm5sUdyzmUf4wgnT8z\nb36QNgGtHB2quAKKonC8KI0dGT+x+2wyRlMVUPf00N7R3ekd3Z1w71AHRymEEL9PinUhhFOyWm18\ntPU46745gUqlYtLQDowa2JbjRad4/ft/UVpdTlL4DUy/6X70rp6ODlf8QfmGQr4/s4cdZ36kwFgM\ngJ+7DwPib+WWmBuJ9YuSqyRCiOuCFOtCCKeTV2zktdXJHMsoJdjPg9n3dic+xpdPj25hbeomVKiY\nmHgXI9oPwkUls35cL2rMNfyYtZ/t6bs5WngSADeNG31jbqJvq5tICG4ns7gIIa47UqwLIZzKd8ln\neWvDQaprLfTtEsG0ezpjVVWzZMebpOQdIcDDj8d7TaF9UGtHhyoug6IonCo5w7bTu/ghc599LvRO\nwfH0a9WTnpFdcZd50IUQ1zEp1oUQTsFQbWbFhhR27M/Gw03DzPHdGJAUSWrBcZb/+AFlNRV0DUtg\n+k334+2mv/QBxUVZrVYWLlxIeno6KpWK5557rsFzML799lvefPNNNBoNo0aNYsyYMX/o+AaTkR1n\n9rDt9C7OlucAEKjzZ3i7W+nfqhfB+sBGbY8QQjiKFOtCiBbv0Kki/v7RzxSVVdM+xo8nJyQR7O/O\n2tRNfHJkCy4qFfd2vpvh7W6VYS+NZPv27QCsWbOGPXv2sGzZMlasWAGA2WxmyZIlrF+/Hg8PD8aP\nH8/AgQMJDLx4ga0oCieL0/k6bQe7z/6M2WpG7aKmZ1Q3bo3rzQ3B7WWYixCixZFiXQjRYpktVlZ+\neYxPvz+FSqViwuD2jLm1LSU1pSzevoLjRWkEeQbwRK8ptA2IdXS4LcqgQYPo378/ADk5OXh7e9u3\npaWlER0djY+PDwBJSUns3buXoUOHXvSYc79+iTNlWQCE6oMY1PoW+rXqiY+790W/J4QQ1zMp1oUQ\nLVJ6Tjl//7+fOZNbQVigJ09O6Eb7GH/2ZO3n7Z9WYjRX0ysqiYe6T8DTVefocFskjUbD3Llz2bp1\nK2+88YZ9vcFgwMvLy/7Z09MTg8FwyeNlludwU2RXbmvdh4SQdnIVRAjhFKRYF0K0KFabwiffnWL1\nlmNYrDaG9mrF5BGdQG3l3b2r+eb0TlzVWqZ2n8jAuN4yfV8TW7p0KbNmzWLMmDF88cUX6HQ69Ho9\nRqPRvo/RaGxQvP+eh2PG4qXxxJxdxf7s/U0ZdrORnJzs6BCuOWmzc3DGNl8pKdaFEC1GTpGBf3y0\nn6NnSvDzcmPG2K507xBCeulZXt/9L3Iq84nxjeTxnpOJ9AlzdLgt2qeffkp+fj5Tp07Fw8MDlUpl\nH0/eunVrMjIyKCsrQ6fTsW/fPqZMmXLJY/a/qW9Th92sJCcnk5SU5Ogwrilps3Nw1jZfKSnWhRDX\nPZtN4cvdZ/jgP4epNVnp0yWCh+9ORK/T8PmxrXx06DOsNit/ir+VCYl3olVrHR1yi3f77bczf/58\nJk6ciMViYcGCBWzdupWqqirGjh3LvHnzmDJlCoqiMGrUKEJCQhwdshBCNEtSrAshrmulBguL3vmB\ng6eK0HtomXFvF/p2jaS4qpQXvvs3qQXH8XH3ZvqN99ElrJOjw3UaOp2O119//Xe3Dxw4kIEDB17D\niIQQ4vokxboQ4rqkKApf/ZjBe5vzMVkUenQM4dHRXfD3dmf32WTe3fd/GE1VdA9P5OEe9+Ltfukx\n0UIIIURzI8W6EOK6U1BSxfJ1BzhwshA3rYonxnVlYPcoqszVLP/xA/6b8RNualceTJrAoNa3yE2k\nQgghrltSrAshrhs2m8KWH8/w4X8OU11rpXuHEPq2c2FAj2hS84/z5k//priqlNb+MTzW8wHCvWQc\ntBBCiOubFOtCiOtCTpGB5esOkJpWjKeHlifGJTKwexR79v3Eh/s/ZvOJb3FRuXBPp2Hc3XEYGhe1\no0MWQgghrpoU60KIZs1qtfH5f0+zassxTGYrN3UK5ZF7OuPv7U5aSQb/PvspxeYywr1CePSmP9Mm\noJWjQxZCCCEaTbMs1lNSUnj11VdZuXIlR48e5fnnn0etVuPq6srSpUsJDAxssP9dd92FXq8HIDIy\nkiVLljgibCFEI0vPKeeNdQc4dbYMb09XnhjblVu6hGO1WVl7aBOfHN2CTbExtO0AJiSOxE3j6uiQ\nhRBCiEbV7Ir19957j88//xwPDw8AXnzxRRYtWkSHDh1Ys2YN7733HvPnz7fvX1tbi6IorFy50lEh\nCyEamclsZc3W42zcfgqrTWFAUiRT7kjAR+9GRlkWb+75N2fKsgjS+XOrb0/u7jbC0SELIYQQTaLZ\nFevR0dEsX76cOXPmAPD3v/+d4OBgAKxWK25ubg32P3bsGNXV1UyePBmLxcKTTz5Jly5drnncQojG\ncfBUIW9+nEJOkZEgPw+m39OZpPYhWGxW1h/ezIYjm7HarAyM6819XUZx9OARR4cshBBCNJlmV6wP\nHjyYrKws++dzhfrPP//MqlWrWL16dYP93d3dmTJlCqNHj+bMmTM8+OCDbNmyBY3m0k27mke/Xq+k\nzc7hemxzVa2Vr/eXc+B0FSoV9GynZ0CiNxiz2PLDQb4o+J782mL0ah1DwvrQ2iXKXqhfj+0VQggh\nLkezK9YvZPPmzaxYsYJ3330Xf3//BttiY2OJiYlBpVIRGxuLr68vhYWFhIWFXfK4SUlJTRVys5Sc\nnCxtdgLXW5sVRWF7chb/2pJKhdFEbLg3j47uQny0HxarhU+ObmHj6S1YbVb6x/bi/i734Omqs3//\nemtvY5A/ToQQwnk0+2L9s88+Y+3ataxcuRJfX9/ztq9fv54TJ06wePFi8vPzMRgMBAUFOSBSIcQf\nlVVQyYoNBzl4qgg3VzWTR3Tijj5xqNUunC7JYMVPK8kozybAw4+Hekyga1iCo0MWQgghrqlmXaxb\nrVZefPFFwsLCeOyxxwDo0aMHM2bMYM6cOTzxxBPcc889zJ8/n/Hjx6NSqXjppZcuawiMEMJxas1W\nPt52gg3fnsJitdGjYwgP35VIsL8Ok8XEmpQv2HT8G2yKjVvjbmFS57vRuXo4OmwhhBDimmuWVW1k\nZCTr1q0D4KeffrrgPi+//LL9/WuvvXZN4hJCXL19R/N555OD5BVXEejjzkN3JdIzIRSVSsWRgpO8\ns3cVuYYCgj0DmNrjXm4Iae/okIUQQgiHaZbFuhCi5SkoreKfn6Wy+1AuLi4qRvZrzYTB7fFw01Bl\nqmZVyka+Ob0TFSqGxQ9k3A134K5xu/SBhRBCiBZMinUhRJMyW6x88l0a67adoNZkpVNcAA/fnUir\nMG8Afso6wL+S11BaU06UTzhTu08kPjDOwVELIYQQzYMU60KIJpN8LJ93PzlETpERXy83HhmVyICk\nKFQqFcVVpbz/81r2ZqegcdEwNmEEd7a/HY1a0pIQQghxjpwVhRCNLq/YyD8/S2XP4TxcVHBHnzgm\nDG6Pp4cWm83GlpPfsebQ51RbaugQ1JaHuk8gwjvU0WGLRmI2m1mwYAHZ2dmYTCamTZvGrbfeat/+\n4Ycf8vHHH9un4n3uueeIi5OrKUIIcSFSrAshGk1NrYX1355k43enMFtsJLQO4KGRNxAb7gPA6ZJM\n3tv3f6SVZuCp9eDhHvfSP7YXLioXB0cuGtPnn3+Or68vr7zyCmVlZYwcObJBsZ6amsrSpUtJSJCp\nOIUQ4lKkWBdCXDVFUfh+fzYf/ucwxeU1BPq4M3lEArd0CUelUlFtrmFt6ia+PLkdRVHoE3Mjk7qM\nwtfd29GhiyYwZMgQBg8eDNT9t6FWqxtsP3z4MO+++y6FhYX079+fqVOnOiJMIYS4LkixLoS4Kicy\nS/nnZ6kcPVOCVuPC2EHx3DOwLe5uGhRFYffZZD7c/zGl1eWE6oP4S9J4EkM7ODps0YQ8PT0BMBgM\nzJgxgyeeeKLB9j/96U9MmDABvV7Po48+yvbt2xkwYMAlj+uMT26VNjsHabO4GCnWhRBXpLi8mv/d\n/P/t3Xl8lNXd9/FPJvsKSSAhEBISSAgQ1rALhEVBFGpqpAit2Afam1q9qdZWETdqqUvr3Ver1a6P\n9Slt74JWLSoKsskeIJBAdgIhJCFkD8lknWSu54+U0RTEgBmyzPf9V2bOzHWd32vC4TtXznVOJruO\nFQAwbXQIKxePYkBgW1Arri3ljeObSL2YgavJhW/ELuJrMfNxc3btym7LTVJcXMyDDz7I8uXLWbx4\nse15wzC4//778fX1BSA+Pp6MjIwOhfW4uDi79bc7Sk5OVs0OQDU7hq/y5URhXUSuS2NzC+/uOcM/\nd5+mqbmViIF+fPeu0Ywe1g+A5pZm3s3cxr+yttNibWHsgBGsmnAvA3yDurjncrOUl5ezcuVKnnnm\nGaZNm9auzWw2s2jRIrZu3YqXlxdJSUkkJiZ2UU9FRLo/hXUR6RCr1WDP8QL+sjWTikuN9PV157t3\njebWyWE4m5wwDIPkCyd588RblNZVEODZl2+PX8KU0PE4OTl1dfflJvrd735HTU0Nr7/+Oq+//joA\nS5YsoaGhgaVLl/LII4+wYsUK3NzcmDZtGvHx8V3cYxGR7kthXUS+1MncMv7vlnTOFl3C1cXEknlR\n3DM3Ci+PtiktF2tL+fOJzZwoTsfZycTi4bdyz6g78XT16OKeS1d46qmneOqpp76wPSEhgYSEhJvY\nIxGRnkthXUS+0PmLNbz5YQZHM0oAmB0Xyn23jyAowAuARksj72R+zAfZO2mxtjA6eDj/Z8JSQv1C\nurLbIiIivYbCuohcobKmkb9vy+KTpHysBoyKDGTV10YRNdgfaLtJ8MD5Y/w19R0qG6rp5xXAinGJ\nmvIiIiLSyRTWRcSmrsHCO3ty+dfeMzQ1tzI42Idv3zmKSSODbSH8bGU+fz7xFtnlZ3A1uXDPqDu4\nK2YB7i5uXdx7ERGR3kdhXUSwtLSy9eA5Nn2SQ219MwF+7n/el2gAACAASURBVHzna7HcNjkMZ+e2\n3UWrG2v4x8l/sTvvEAYGk0PHsWJsIkE+/bq49yIiIr2XwrqIA2u1GuxJLuBv27Ioq2rAy8OFFXeM\nYPHMSDzc2oaH5lYLW3N28W7GxzS0NDK4z0D+z/glxAbHdHHvRUREej+7hvXz58+TkpLC4sWLeeaZ\nZ8jIyOCJJ55g4sSJ9jytiHwJwzA4nFbMxo+yKCipxdXFREL8UJbMi8bP2832mqTCE/w19R1K6yrw\ndfPmO3H3Mi9yBs4m5y85g4iIiHQGu4b1J554gm9961vs3LmTc+fO8cQTT/Dzn/+czZs32/O0IvIF\nDMMgJaeMv3yUSW5BNSYnuG1yGMvmx9Df39P2utyKc/wl5W2yys/g7GTizuh53DPqDrzdvLqw9yIi\nIo7HrmG9qamJhQsX8uSTT7J48WImTpxIS0vLl74vNTWVl19+mY0bN5Kfn8/atWtxcnIiKiqKZ599\nFpPJZHut1Wpl/fr1ZGdn4+bmxoYNGwgPD7dnWSI9UvrZCjZ+lEn62QoAZo4bxPIFwwkN8rW9pqyu\ngv89tYX9+UcAmDRoLN8aezch2n1URESkS9g1rDs7O7Nt2zb27NnDD37wA3bs2NEuaF/NH//4R7Zs\n2YKnZ9tVvhdeeIGHH36YKVOm8Mwzz7Bz505uu+022+t37NhBc3MzmzZtIiUlhRdffJHf/va39ixL\npEfJzq/kbx9ncSKnDIBJI4P55oIYhob2tb2mvrmB97K28WH2TizWFiL8B3Pf2ERig4d3VbdFREQE\nO4f15557jjfffJNnn32WoKAgPvzwQzZs2HDN94SFhfHqq6/y2GOPAZCens7kyZMBmDVrFgcOHGgX\n1pOTk5k5cyYA48aNIy0tzU7ViPQsuQXV/G1bFscy2zY0GhvVj28tHEFMeIDtNS2tLWw/s5d/pm+l\ntrmOQE9/lo25ixnhkzA5XfuLtYiIiNifXcP68OHD+fa3v83Ro0d58803+a//+i9iYq69gsSCBQso\nLCy0PTYMw7a+s7e3N7W1te1ebzab8fHxsT12dnampaUFF5cvLy05Ofl6yukVVHPvd6Gymf/95Tay\nixoBCA9yY87oPgwJdqeuPI/k8jwMwyDTfJZ9FceobqnFzeRKfOAk4vqMwrXChRMVJ7q4iuvjaJ+x\niIg4DruG9ffee4/f/OY33HrrrVitVh566CEeeOAB7rnnng4f4/PTZurq6vDz82vX7uPjQ11dne2x\n1WrtUFAHiIuL63A/eoPk5GTV3IudLqjiH9tzOJJRCsCIIQF8c0EMY6L6tdtV9FRJFn9LfZezVedx\nNjlze9Rs7hl5B34evl906G7NkT7jy/TlRETEcdg1rP/5z3/mrbfewt+/bYvy733ve6xYseK6wvrI\nkSNJSkpiypQp7N27l6lTp7ZrnzBhArt37+aOO+4gJSWF6OjoTq1BpLvLOV/F/27Ptk13GdzfjdV3\nT7wipJ+tzOfvJ//FyZJMAG4Jm8jS0V9jgE//Lum3iIiIfDm7hnWr1WoL6gABAQHtwkNHPP744zz9\n9NP88pe/JDIykgULFgDw2GOP8fDDD3Pbbbdx4MAB7r33XgzD4Pnnn+/UGkS6q/SzFWz6JNt24+io\nyEDuvS2alprzjI3+LIBfqC1h06n3OVTQdjV2TPAIlo+5i8gArZokIiLS3dl9zvrPfvYz25X0t99+\n+0vnrAOEhoba1mKPiIjgr3/96xWv+fnPf277+bnnnuukHot0b5fXSd+0I8e2BOOYYf24d/5wRg/t\nB0BycgEAFfVVvJX+IXvyDmE1rAz1D2f52ARGa+dRERGRHsOuYX3Dhg288sorrFu3DsMwmDJlCs8+\n+6w9TynSK1mtBknpF3lrZw6nC6oBmDgimKW3RhMzJKDda+taGvh/J95me+6nWKwtDPIdwNLRi5kS\nOv66/7IlIiIiXcuuYd3Dw8O2BKOIXL+WVit7TxTy9q5cCkpqcXKC6WNCWDIvmmGfWycdwNxcxwfZ\nO3g/fwcWo4V+XgEsGXUns4ZMwdnk3EUViCOyWCysW7eOoqIimpubeeCBB5g3b56tfdeuXbz22mu4\nuLiQmJjIN77xjS7srYhI92aXsP71r3+dd999l5iYmHZX8i4vw5iZmWmP04r0Go1NLWw/ks97n56h\nrKoBZ5MTcycO5p65UQwObr9qS72lga05u/ggeyf1lga8nT25b2wi8yJvwdXZtYsqEEe2ZcsW+vbt\nyy9+8Quqq6tJSEiwhXWLxcILL7zA22+/jaenJ8uWLWPu3Ln069evi3stItI92SWsv/vuuwBkZWVd\n0dbc3GyPU4r0CpfMTXx4II8P9udRW9+Mm6szi2ZE8PX4YQQFeLV7bYOlkY9P7+H97B2Ym+vwdffh\nW2PvJqjWj6lRU7qoAhG4/fbbbYsBGIaBs/Nnf9k5c+YMYWFh9OnTB2hbQvfo0aMsXLiwS/oqItLd\n2XUazNKlS9m0aZPtsdVqJTExkffff9+epxXpcYrL63jv01x2HC2g2dKKr5cr9942nEUzIujj497u\ntY2WRj7O/ZT3sz6htrkOb1dP7h39NRZGzcHT1UNrcEuX8/b2Bto2rVuzZg0PP/ywrc1sNuPr69vu\ntWazuUPHdcTfbdXsGFSzXItdwvqKFSs4cuQIQLvVX1xcXJg7d649TinSI2XlV/LenjMcOnUBqwFB\n/p7cFT+U+ZPD8XBv/8/TFtKzd1DbZMbb1ZNvxC7mjqg5eLl5dlEFIldXXFzMgw8+yPLly1m8eLHt\n+f/cyK6urq5deL8WR9z8SjX3fqrZMXyVLyd2Cet/+ctfgLbVYJ566il7nEKkx2q1GhxJL+bdPWfI\nPFcJwNDQPtw9exi3jBmIs7Op3esbLI1s+1xI93L1ZMmoO7kjei7ebl5XO4VIlyovL2flypU888wz\nTJs2rV3b0KFDyc/Pp7q6Gi8vL44dO8aqVau6qKciIt2fXafB/PjHP+aTTz6xXUVpbW2lsLCQH/zg\nB/Y8rUi3VN9oYcfR87y/7ywXK+qBtuUX7549jNihgVcsq1jXXM9Hp/fwYc5O6prr/30lfRELo+Yo\npEu39rvf/Y6amhpef/11Xn/9dQCWLFlCQ0MDS5cuZe3ataxatQrDMEhMTCQ4OLiLeywi0n3ZNaz/\n93//Nw0NDZw/f56JEydy9OhRxo0bZ89TinQ7JZX1fLD/LJ8k5VPX2IKbi4kFU8O5a9bQK1Z2Aahp\nrOXDnF18nLuHBksjPm7e3Dv6a9weNRsvV013ke7vqaeeuuZfVefOnaspkSIiHWTXsJ6Xl8f27dv5\n2c9+RmJiIo899piuqotDMAyD9LMVbNl3lqS0YqwG+Pu6kzB7GAunDbniplGAyvpqPsjewSdn9tHU\n2kwfd1++PuZ2FgyLx9PVowuqEBERka5m17AeGNj2p/2IiAiys7NJSEjQ0o3SqzVZWtl7vJD3958l\n70IN0DYf/a5ZQ5kxdhCuLqYr3nPRXMaWzO3sOXeYFmsLAZ59WR6TwNzIW3B3cbvZJYiIiEg3Ytew\nHhUVxU9/+lOWLVvGj370I0pLS2lpabHnKUW6RGllPVsP5rE9KZ/aegsmkxMzxg5k8cxIRgwJuGI+\nOsC5qgLey9rOoYJkDMNggE9/EkYsYFb4FFyc7fpPU0RERHoIuyWCs2fP8tBDD1FQUMCwYcNYs2YN\ne/bsITAw0F6nFLmprFaDlJwyPjyQx7HMi1gN8PN2Y8m8KBZOi6C//5Xzyw3DIKPsNP/K3EbKxQwA\nwvuGkjBiPtNC4zCZrrzyLiIiIo7LLmH91Vdf5Y033gDgN7/5Da2treTm5vLBBx8wfvx4e5xS5Kap\nrW9m59HzbD14juLytpWOogb3ZdGMCGaMHYSbq/MV77FarRy9kMqWzO2crjwHwIj+w0gYsYBxA0Zd\n9cq7iIiIiF3C+nvvvce2bdsoLS3llVde4U9/+hPl5eX8+te/ZubMmfY4pYhdGYZBzvkqPjp0jn0n\nimhuseLmYmLuxMHceUsE0WH+V31fc0szn55L4oPsHRSbSwGYOGgsCTHzie4XeRMrEBERkZ7ILmHd\n29uboKAggoKCOHnyJAkJCfzpT3/C2fnKK44i3Vl9o4VPjxfy8aF8zl64BEBIoDcLpw9h3qQw/Lyv\nfgNoTZOZ7bmf8vHpPdQ0mXExuTA3YjqLYm4l1C/kZpYgIiIiPZhdwvrn5936+/uzdu1ae5xGxC4M\nwyC3sJpth/P59Hghjc2tmExOTBsdwsJpQxgb1R+T6erTVi7UlvBh9k4+PXeY5lYL3q6eJIxYwMKo\nOfh79rnJlYiIiEhPZ5ew/vn5tx4eX3196HfeeYd3330XgKamJjIzMzlw4AB+fn4AvPnmm7z11lsE\nBAQA8JOf/ITISE0xkOtT12Bhz/FCth/+7Cp6f39P7pkbzq2Twwjsc/UNiQzDIL00hw9zdpJ84VTb\n+7wDuTN6LnMjpuOhNdJFRETkBtklrJ8+fZp58+YBUFJSYvvZMAycnJzYuXPndR3v7rvv5u677wba\ngnhiYqItqAOkpaXx0ksvERsb20kViKO4vHnR9qR8Dpwsptny2VX0+VPCGT88COcvuIpuabVw4Pwx\ntubs4lx1IQBRgREsHn4rkwaNxdmkaV8iIiLy1dglrG/bts0eh+XUqVPk5uby7LPPtns+PT2dP/zh\nD5SVlTF79mxWr15tl/NL71FxqYFdxwrYceQ8F/69oktIoDe3TQnj1klh+Pt98dXw6sYaPsndy/Yz\n+7jUWIOTkxNTB09gUfQ83TQqIiIincouYX3QoEH2OCy///3vefDBB694/s4772T58uX4+Pjw0EMP\nsXv3bubMmWOXPkjPZWlp5Uh6CTuOnud4VglWA9xcTMyOC2X+lHBiIwOvuYTi2cp8tp7ezcHzybRY\nW/B29WTx8Fu5PWo2/b21f4CIiIh0vh6zTWJNTQ15eXlMnTq13fOGYXD//ffj6+sLQHx8PBkZG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REemmFNZFRERERLophXURERERkW7q/wMKmH5OvOT0rQAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "0.01 is the labor force growth rate\n", "0.015 is the efficiency of labor growth rate\n", "0.03 is the depreciation rate\n", "0.22 is the savings rate\n", "0.5 is the decreasing-returns-to-scale parameter\n" ] } ], "source": [ "# a baseline case\n", "\n", "sgm_bgp_100yr_run(L0 = 1000, E0 = 1, K0 = 9000, g = 0.015, n = 0.01,\n", " delta = 0.03, s = 0.22, alpha = 0.5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " \n", "\n", "----" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.1" } }, "nbformat": 4, "nbformat_minor": 2 }