{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Basic Solow Growth Model (Solow_delong Python Class) \n",
"\n",
"Last edited: 2019-08-17\n",
"\n",
" \n",
"\n",
"----"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"----\n",
"\n",
"## The Pieces of the Model "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Overview \n",
"\n",
"As is the case with all economic models, the Basic Solow Growth Model consists of:\n",
"\n",
"* _Variables_: economic quantities of interest that we can calculate and measure, denoted by letters (or maybe two letters) like L for the number of workers in the labor force or Y for the amount of useful goods and services produced in a year—real GDP.\n",
"\n",
"* _Behavioral relationships_: relationships that (1) describe how humans, making economic decisions given their opportunities and opportunity costs, decide what to do, and (2) that thus determine the values of the economic variables, represented by equations that have an economic variable on the left hand side and, on the right, a set of factors that determine the value of the variable and a rule of thumb for what that value is currently.\n",
"\n",
" * _Parameters_: determine which out of a broad family of potential behavioral relations describes the behavior of the particular economic scenario at hand; the ability to work algebraically with parameters allows one to perform an enormous number of potential \"what-if?\" calculations very quickly and in a very small space\n",
"\n",
"* _Equilibrium conditions_: conditions that tell us when the economy is in a position of balance, when some subset of the variables are \"stable\"—that is, are either constant are changing in simple and predictable ways, usually represented by solutions of some system of the equations that are behavioral relationships.\n",
"\n",
"* _Accounting identities_: statements about the relationships between variables that are automatically and necessarily true because of the way the variables are defined, represented by equations. \n",
"\n",
"In the case of the Solow growth model, the key variable is the capital intensity of the economy, which we will write using a lower-case Greek letter kappa: $ \\kappa $. We measure $ \\kappa $ as the ratio of the capital stock of the economy $ K $, to the level of output and income $ Y $. \n",
"\n",
"In every economic model economists proceed with their analysis by looking for an equilibrium: a point of balance, a condition of rest, a state of the system toward which the model will converge over time. Economists look for equilibrium for a simple reason: either an economy is at its (or one of its) equilibrium position(s), or it is moving—and probably (or hopefully?) moving rapidly—to an equilibrium position. The Solow growth model is no exception.\n",
"\n",
"Once economists have found the equilibrium position toward which the economy tends to move, they then understand how the model will behave. And, if they have built the right model, it will tell you in broad strokes how the economy will behave.\n",
"\n",
"In the Basic Solow Growth Model, the equilibrium economists look for is an equilibrium in which the economy’s capital-output ratio $ \\kappa $ is contant, and thus the capital stock per worker, the level of income and output per worker, and the efficiency of labor are all three growing at exactly the same proportional rate—a rate that remains constant over time. We will call this rate g, for growth.\n",
"\n",
" \n",
"\n",
"----"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### The Production Function \n",
"\n",
"The first behavioral relationship in the Basic Solow Growth Model is the production function: the relationship between the economy's level of output and income $ Y $ and its three derminants: the labor force $ L $, the efficiency of labor $ E $, and—depending on how we write it—either the economy's capital stock $ K $ or its capital-output ratio $ \\kappa $. We want this behavioral relationship to satisfy three rules of thumb:\n",
"\n",
"1. A proportional increase in the capital intensity of the economy will carry with it the same (smaller) proportional increase in income and production no matter how rich and productive the economy is. A 1% increase in capital intensity will always increase income and production by the same proportional amount. \n",
"\n",
"2. If two economies have the same capital intensity, defined as the same capital-output ratio $ \\kappa $, and have the same level of technology- and organization-driven efficiency-of-labor $ E $, then the ratio of their levels of income and output will be equal to the ratio of their labor forces $ L $.\n",
"\n",
"3. If two economies have the same capital intensity, defined as the same capital-output ratio $ \\kappa $, and have the same labor forces, then the ratio of their levels of income and output will be equal to the ratio of their technology- and organization-driven efficiencies-of-labor $ E $.\n",
"\n",
"There is one and only one way to write an algebraic expression that satisfies these two rule-of-thumb conditions. It is:\n",
"\n",
">(1) $ Y = \\kappa^\\theta E L $\n",
"\n",
"You might object that this is circular: output and income $ Y $ depend on capital intensity $ \\kappa $ defined as the capital-output ratio $ K/Y $, but how can you calculate $ \\kappa $ and thus calculate $ Y $ when you need to know $ Y $ to calculate $ \\kappa $? If this worries you, you could start elsewhere, with a different-lookinig production function:\n",
"\n",
">(2) $ Y = K^\\alpha (E L)^{1-\\alpha} $\n",
"\n",
"Then divide both sides by $ Y^\\alpha $:\n",
"\n",
">(3) $ \\frac{Y}{Y^\\alpha} = \\frac{K^\\alpha}{Y^\\alpha} (E L)^{1-\\alpha} $\n",
"\n",
">(4) $ Y^{1-\\alpha} = \\left(\\frac{K}{Y}\\right)^\\alpha (E L)^{1-\\alpha} $\n",
"\n",
">(5) $ Y^{1-\\alpha} = \\kappa^\\alpha (E L)^{1-\\alpha} $\n",
"\n",
">(6) $ Y^{\\left(\\frac{1-\\alpha}{1-\\alpha}\\right)} = \\kappa^{\\left(\\frac{\\alpha}{1-\\alpha}\\right)} (E L)^{\\left(\\frac{1-\\alpha}{1-\\alpha}\\right)} $\n",
"\n",
">(7) $ Y = \\kappa^{\\left(\\frac{\\alpha}{1-\\alpha}\\right)} E L $\n",
"\n",
"which is exactly the same as (1), once we define $ \\alpha = \\theta/(1+\\theta) $ and thus $ \\theta = \\alpha/(1-\\alpha) $. It will often be convenient to work with $ \\alpha $. It will sometimes be convenient to work with $ \\theta $. It depends on which produces simpler formulas at any moment.\n",
"\n",
"Why did Robert Solow back in 1956 look for an algebraic formula for his production function that would satisfy these three rules-of-thumb? Economists like to simplify, ruthlessly, when they can get away with it. Rule-of-thumb (1) is a simplifying assumption: an intellectual bet that the process of aggregate economic growth is likely to look very similar as an economy goes from an income-per-capita level of 10,000 to 20,000 dollars per worker per year as when it goes from 40,000 to 80,000 dollars per worker per year. It is worth making only as long as that is in fact true—that the similarities in the aggregate overall economic growth process in different decades and at different income-per-worker levels outweigh the differences. If that were not or were to cease being the case, we should drop that rule-of-thumb assumption. So far, so good.\n",
"\n",
"Rule-of-thumb (2) is simply that holding other things—capital intensity and efficiency-of-labor—constant, you can always duplicate what you are doing and produce and earn twice as much. Again, it is worth making only as long as that is in fact true, or approximately true. Again, so far, so good.\n",
"\n",
"Rule-of-thumb (3) is a recognition that better-organized economies making better use of technology will be more productive: it is best thought of as a definition of how we are going to construct our quantitative index of the level of applied technological knowledge combined with efficient economic organization—the variable $ E $ that we call the efficiency-of-labor. It has no deeper implications.\n",
"\n",
" \n",
"\n",
"----"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Savings, Investment, and Capital Accumulation\n",
"\n",
"Following economists' custom of ruthless simplification, assume that individuals, households, and businesses desire to save a fraction $ s $ of their income $ Y $, so that total savings are:\n",
"\n",
">(8) $ S = sY $\n",
"\n",
"We call s the economy’s saving rate or, more completely, its saving-investment rate (to remind us that s is measuring both the flow of saving into the economy’s financial markets and also the share of total production that is invested and used to build up and increase the economy’s capital stock).\n",
"\n",
"Assume that there are no problems in translating individuals', households', and businesses' desires to save some of their income $ Y $ into investment I:\n",
"\n",
">(9) $ I = S = sY $\n",
"\n",
"While the saving-investment rate s is constant, the economy's capital stock K is not. It changes from year to year. Assume that there are no problems in translating investment $ I $ into increases in the economy's productive stock $ K $ of capital goods—and also assume that each year a fraction $ \\delta $ of the existing capital stock depreciates and wears out, so that the rate of change of the capital stock is:\n",
"\n",
">(10) $ \\frac{dK}{dt} = sY - \\delta K $\n",
"\n",
"We typiclly assume that s is constant. We do, however, think about the consequences of its taking a permanent upward or downward jump at some particular moment of time. The background assumption, however—made because it makes formulas much simpler—will always be that s will then remain at its jumped-to value as far as we look into the future.\n",
"\n",
" \n",
"\n",
"----"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Adding in Labor-Force and Population Growth\n",
"\n",
"If the labor force L were constant and technological and organizational progress plus education that add to the efficiency-of-labor E were non-existent, we could immediately move on. But the economy’s labor force grows as more people turn 18 or so and join the labor force than retire, and as immigrants continue to arrive. And the efficiency of labor rises as science and technology progress, people keep thinking of new and more efficient forms of business organization, and people go to school and learn on the job\n",
"\n",
"We assume—once again making a simplifying leap—that the economy’s labor force L is growing at a constant proportional rate n every year. Note that n is not the same across countries. Note that it can and does shift over time in any one country. But we want to tackle simple cases first. A constant labor force growth rate n is simple. Thus our background assumption will be that n is constant as far as we can see into the future. Then between this year and the next the labor force grows according to the formula:\n",
"\n",
">(11) $ \\frac{dL_t}{dt} = nL_t $\n",
"\n",
"Next year’s labor force will thus be n percent higher than this year’s labor force.\n",
"\n",
" \n",
"\n",
"----\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Efficiency-of-Labor Growth\n",
"\n",
"We also assume—once again making a simplifying leap—that the economy’s efficiency of labor E is growing at a constant proportional rate g every year. Note that g is not the same across countries. Note that it can and does shift over time in any one country. But we want to tackle simple cases first. A constant efficiency-of-labor growth rate g is simple. Thus our background assumption will be that g is constant as far as we can see into the future. Then between this year and the next the efficiency of labor grows according to the formula:\n",
"\n",
">(12) $ \\frac{dE_t}{dt} = gE_t $\n",
"\n",
" \n",
"\n",
"----\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Definition of Capital-Output Ratio $ \\kappa $\n",
"\n",
"And we define the economy's capital intensity $ \\kappa $ as:\n",
"\n",
">(13) $ κ_t = \\frac{K_t}{Y_t} $\n",
"\n",
"the economy's capital-output ratio\n",
"\n",
" \n",
"\n",
"----"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"----\n",
"\n",
"## Solving for Equilibrium "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Calculating the Rate-of-Change of Capital Intensity $ \\kappa $ \n",
"\n",
"Begin with our alternative equation for output:\n",
"\n",
">(14) $ Y = K^\\alpha (L E)^{1-alpha} $\n",
"\n",
"Take natural logarithms:\n",
"\n",
">(15) $ \\ln(Y) = \\alpha\\ln(K) + (1-\\alpha)(\\ln(L) + \\ln(E) $\n",
"\n",
"Take the time derivative of both sides, and remember that the proportional growth rates of L and E are n and g, respectively:\n",
"\n",
">(16) $ \\frac{1}{Y}\\frac{dY}{dt} = α \\left( \\frac{1}{K}\\frac{dK}{dt} \\right) + (1-α)(n+g) $\n",
"\n",
"Likewise take the time derivative of the capital stock, and divide both sides by the level of the capital stock:\n",
"\n",
">(17) $ \\frac{1}{K}\\frac{dK}{dt} = \\frac{s}{κ} - δ $\n",
"\n",
"Recognize that the proportional rate of growth of the economy's capital intensity is simply the difference between the proportional growth rates of the capital stock K and of output and income Y:\n",
"\n",
">(18) $ \\frac{1}{κ}\\frac{dκ}{dt} = \\frac{1}{K}\\frac{dK}{dt} - \\frac{1}{Y}\\frac{dY}{dt} $\n",
"\n",
">(19) $ \\frac{1}{κ}\\frac{dκ}{dt} = \\frac{1}{K}\\frac{dK}{dt} - α \\left( \\frac{1}{K}\\frac{dK}{dt} \\right) - (1-α)(n+g) $\n",
"\n",
">(20) $ \\frac{1}{κ}\\frac{dκ}{dt} = (1- α) \\left( \\frac{1}{K}\\frac{dK}{dt} \\right) - (1-α)(n+g) $\n",
"\n",
">(21) $ \\frac{1}{κ}\\frac{dκ}{dt} = (1- α) \\left( \\frac{s}{κ} - δ \\right) - (1-α)(n+g) $\n",
"\n",
">(22) $ \\frac{dκ}{dt} = (1- α) \\left( s - (n+g+δ)κ \\right) $\n",
"\n",
" \n",
"\n",
"----"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Exponential Convergence \n",
"\n",
"Let's add a little time subscript to recognize that the capital intensity $ \\kappa $ of the economy varies over time:\n",
"\n",
"Integrating:\n",
"\n",
">(23) $ \\frac{dκ_t}{dt} = (1- α) \\left( s - (n+g+δ)κ_t \\right) $\n",
"\n",
"And let us suppose that we know that at some start time—call it $ t = 0 $ the value of $ \\kappa $ is some known quantity, which we will call $ \\kappa_0 $. Then we can integrate forward from $ t = 0 $ and get the value of the economy's capital intensity $ \\kappa $ as far into the future as we wish:\n",
"\n",
">(24) $ κ_t = \\frac{s}{n+g+δ} + e^{-(1-α)(n+g+δ)t} \\left[ κ_0 - \\frac{s}{n+g+δ} \\right] $\n",
"\n",
"Note that as time passes, $ \\kappa_t $ exhibits exponential convergence towards an asymptotic steady-state value $ \\kappa^* $:\n",
"\n",
">(25) $ \\kappa^* = \\frac{s}{n +g + \\delta} $\n",
"\n",
"And note that the exponential convergence rate $ r_{c\\kappa} $ is:\n",
"\n",
">(26) $ r_{c\\kappa} = (1-\\alpha)(s +g + \\delta) $\n",
"\n",
" \n",
"\n",
"----"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Other Initial Parameter Values \n",
"\n",
"It is not enough to just know the values of the behavioral-relationship parameters $ s, \\alpha, n, g, $ and $ \\delta $ and the value at time $ t = 0 $ of the capital-intensity $ \\kappa_0 $. We also need to know the initial values of the labor force $ L_0 $ and the efficiency-of-labor $ E_0 $. But if we know all of these we can then calculate the evolution of the economy according to the Basic Solow Growth model. The economic variables will be:\n",
"\n",
"The labor force:\n",
"\n",
">(30) $ L_t = L_0 e^{nt} $\n",
"\n",
"The efficiency-of-labor:\n",
"\n",
">(31) $ E_t = E_0 e^{gt} $\n",
"\n",
"Total income and output:\n",
"\n",
">(32) $ Y_t = (\\kappa)^\\theta (L E) = (\\kappa)^{\\alpha/(1-\\alpha)} (L E) $\n",
"\n",
"The capital stock:\n",
"\n",
">(33) $ K_t = \\kappa Y_t $\n",
"\n",
"And income per worker:\n",
"\n",
">(34) $ y_t = \\frac{Y_t}{L_t} = (\\kappa)^\\theta E) = (\\kappa)^{\\alpha/(1-\\alpha)} (L E) $\n",
"\n",
" \n",
"\n",
"----"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"----\n",
"\n",
"## Simulations "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Calculus and Algebra, or Arithmetic and Python? \n",
"\n",
"We could use the calculus and algebra above to answer questions about how an economy well-modeled by the Basic Solow Growth Model behaves. Or we could take a different tack, and simply use arithmetic and Python to answer such questions by _simulating_ an economy that behaves according to that model.\n",
"\n",
" \n",
"\n",
"----"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Moving to a Discrete Time Model \n",
"\n",
"We cannot perform simulations in continuous time: we have to let the time in our model simulations tick forward step by step. We have to discretize. Discretizing for a difference model:\n",
"\n",
">(27) $ κ_{t+1} = κ_t + \\left[ \\frac{1 - e^{-(1-α)(n+g+δ)}}{n+g+δ} \\right] \\left( s - (n+g+δ)κ_t \\right) $\n",
"\n",
">(28) $ 1 - α' = (1 - α) [ 1 - \\frac{(1-α)(n+g+δ)}{2} + \\frac{(1-α)^2(n+g+δ)^2}{6} - ... ] $\n",
"\n",
">(29) $ κ_{t+1} = κ_t + (1- α') \\left( s - (n+g+δ)κ_t \\right) $\n",
"\n",
"Almost always we will ignore the difference between the continuous-time $ \\alpha $ and the discrete-time $ \\alpha' $: the difference will almost always be too small to matter (much).\n",
"\n",
" \n",
"\n",
"----"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### The Solow_delong Python Class \n",
"\n",
"Immediately below is a code cell containing the definition of the Solow_delong Python class. It takes initial parameter values for $ \\alpha, s, n, g, \\delta, E_t, L_t $, and $ \\kappa_t $ at some moment t, and calculates th4 values of all the relevant economic variables in the following year t+1. It can then save the updated values and call itself in to construct and report the time series values for an economy following the Basic Solow Growth Model for some number T of periods into the future:\n",
"\n",
"Two cells below is a code cell that uses the Solow_delong Python class to construct a six-panel figure graphing time series for the most interesting economic variables in the Basic Solow Growth Model for T periods into the future from an arbitrary starting point. The graphs show what happens both according to a baseline scenario, and according to an an alternative scenario showing what happened after parameters did or what would have happened had parameters jumped:\n",
"\n",
" \n",
"\n",
"----"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"# DEFINING THE delong_classes.solow PYTHON CLASS\n",
"# \n",
"# kept in: delong_classes.py\n",
"\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"%matplotlib inline\n",
"\n",
"class solow:\n",
" \n",
" \"\"\" \n",
" Implements the Solow growth model calculation of the \n",
" capital-output ratio κ and other model variables\n",
" using the update rule:\n",
" \n",
" κ_{t+1} = κ_t + ( 1 - α) ( s - (n+g+δ)κ_t )\n",
" \n",
" Built upon and modified from Stachurski-Sargeant \n",
" class **Solow** \n",
" \n",
" \"\"\"\n",
" \n",
" def __init__(self, n=0.01, # population growth rate\n",
" s=0.20, # savings rate\n",
" δ=0.03, # depreciation rate\n",
" α=1/3, # share of capital\n",
" g=0.01, # productivity\n",
" κ=0.2/(.01+.01+.03), # current capital-labor ratio\n",
" E=1.0, # current efficiency of labor\n",
" L=1.0): # current labor force \n",
"\n",
" self.n, self.s, self.δ, self.α, self.g = n, s, δ, α, g\n",
" self.κ, self.E, self.L = κ, E, L\n",
" self.Y = self.κ**(self.α/(1-self.α))*self.E*self.L\n",
" self.K = self.κ * self.Y\n",
" self.y = self.Y/self.L\n",
" self.α1 = 1-((1-np.exp((self.α-1)*(self.n+self.g+self.δ)))/(self.n+self.g+self.δ))\n",
" self.initdata = vars(self).copy()\n",
" \n",
" def calc_next_period_kappa(self):\n",
" \"Calculate the next period capital-output ratio.\"\n",
" # Unpack parameters (get rid of self to simplify notation)\n",
" n, s, δ, α1, g, κ= self.n, self.s, self.δ, self.α1, self.g, self.κ\n",
" # Apply the update rule\n",
" return (κ + (1 - α1)*( s - (n+g+δ)*κ ))\n",
"\n",
" def calc_next_period_E(self):\n",
" \"Calculate the next period efficiency of labor.\"\n",
" # Unpack parameters (get rid of self to simplify notation)\n",
" E, g = self.E, self.g\n",
" # Apply the update rule\n",
" return (E * np.exp(g))\n",
"\n",
" def calc_next_period_L(self):\n",
" \"Calculate the next period labor force.\"\n",
" # Unpack parameters (get rid of self to simplify notation)\n",
" n, L = self.n, self.L\n",
" # Apply the update rule\n",
" return (L*np.exp(n))\n",
"\n",
" def update(self):\n",
" \"Update the current state.\"\n",
" self.κ = self.calc_next_period_kappa()\n",
" self.E = self.calc_next_period_E()\n",
" self.L = self.calc_next_period_L()\n",
" self.Y = self.κ**(self.α/(1-self.α))*self.E*self.L\n",
" self.K = self.κ * self.Y\n",
" self.y = self.Y/self.L\n",
"\n",
" def steady_state(self):\n",
" \"Compute the steady state value of the capital-output ratio.\"\n",
" # Unpack parameters (get rid of self to simplify notation)\n",
" n, s, δ, g = self.n, self.s, self.δ, self.g\n",
" # Compute and return steady state\n",
" return (s /(n + g + δ))\n",
"\n",
" def generate_sequence(self, T, var = 'κ', init = True):\n",
" \"Generate and return time series of selected variable. Variable is κ by default. Start from t=0 by default.\"\n",
" path = []\n",
" \n",
" # initialize data \n",
" if init == True:\n",
" for para in self.initdata:\n",
" setattr(self, para, self.initdata[para])\n",
"\n",
" for i in range(T):\n",
" path.append(vars(self)[var])\n",
" self.update()\n",
" return path"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAswAAAMCCAYAAAB9RJBqAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQgghbkICZiGEEEIIIW7i/wd/IjjJTLihCQAAAABJRU5ErkJggg==\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# SIX-PANEL BASIC SOLOW GROWTH MODEL FIGURE\n",
"#\n",
"# Here we graph time series for the six most interesting\n",
"# economic variables in the Basic Solow Growth Model\n",
"# for T periods into the future from an arbitrary starting\n",
"# point. We graph both a baseline scenario, and an \n",
"# alternative scenario showing what happened alternatively\n",
"# after a jump in parameters, or what would have happened\n",
"# alternatively had parameters jumped.\n",
"\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"%matplotlib inline\n",
"\n",
"import delong_classes\n",
"\n",
"T = 100\n",
"\n",
"s_base = delong_classes.solow(κ=4.0)\n",
"s_base.scenario = \"base scenario\"\n",
"s_alt = delong_classes.solow(κ=0.5)\n",
"s_alt.scenario = \"alt scenario\"\n",
"\n",
"figcontents = {\n",
" (0,0):('κ','Capital Output'),\n",
" (0,1):('E','Efficiency of Labor'),\n",
" (1,0):('L','Labor Force'),\n",
" (1,1):('K','Capital Stock'),\n",
" (2,0):('Y','Output'),\n",
" (2,1):('y','Output-per-worker')\n",
" }\n",
"\n",
"num_rows, num_cols = 3,2\n",
"fig, axes = plt.subplots(num_rows, num_cols, figsize=(12, 12))\n",
"for i in range(num_rows):\n",
" for j in range(num_cols):\n",
" for s in s_base, s_alt:\n",
" lb = f'{s.scenario}: initial κ = {s.initdata[\"κ\"]}'\n",
" axes[i,j].plot(s.generate_sequence(T, var = figcontents[i,j][0]),'o-', lw=2, alpha=0.5, label=lb)\n",
" axes[i,j].set(title=figcontents[i,j][1])\n",
"\n",
"# global legend\n",
"axes[(0,0)].legend(loc='upper center', bbox_to_anchor=(1.1,1.3))\n",
"plt.suptitle('Solow Growth Model: Simulation Run', size = 20)\n",
"plt.show() "
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAh8AAAFpCAYAAAA8zkqQAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAh8AAAFpCAYAAAA8zkqQAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nR0RERBSV4SMiIiKK+hsOv9zEV1TYHgAAAABJRU5ErkJggg==\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAh8AAAFpCAYAAAA8zkqQAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# ONE PANEL CAPITAL-OUTPUT RATIO FIGURE\n",
"# \n",
"# Plotting the economy's capital intensity\n",
"# for a _base_line and an _alt_ernative\n",
"# scenario\n",
"\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"%matplotlib inline\n",
"\n",
"import delong_classes\n",
"\n",
"T = 250\n",
"\n",
"Economy = delong_classes.solow(κ=1.0, α=0.25)\n",
"\n",
"fig, ax = plt.subplots(figsize=(9, 6))\n",
"\n",
"# Plot the steady-state value of the capital-output ratio\n",
"\n",
"ax.plot([Economy.steady_state()]*T, 'k-', label='steady state')\n",
"\n",
"# Plot the capital-output ratio over time\n",
"\n",
"lb = f'α parameter value {Economy.initdata[\"α\"]}'\n",
"ax.plot(Economy.generate_sequence(T), 'o-', lw=2, alpha=0.5, label=lb)\n",
" \n",
"\n",
"ax.legend()\n",
"plt.show()\n",
"\n",
"Economy = delong_classes.solow(κ=1.0, α=0.5)\n",
"\n",
"fig, ax = plt.subplots(figsize=(9, 6))\n",
"\n",
"# Plot the steady-state value of the capital-output ratio\n",
"\n",
"ax.plot([Economy.steady_state()]*T, 'k-', label='steady state')\n",
"\n",
"# Plot the capital-output ratio over time\n",
"\n",
"lb = f'α parameter value {Economy.initdata[\"α\"]}'\n",
"ax.plot(Economy.generate_sequence(T), 'o-', lw=2, alpha=0.5, label=lb)\n",
" \n",
"\n",
"ax.legend()\n",
"plt.show()\n",
"\n",
"Economy = delong_classes.solow(κ=1.0, α=0.75)\n",
"\n",
"fig, ax = plt.subplots(figsize=(9, 6))\n",
"\n",
"# Plot the steady-state value of the capital-output ratio\n",
"\n",
"ax.plot([Economy.steady_state()]*T, 'k-', label='steady state')\n",
"\n",
"# Plot the capital-output ratio over time\n",
"\n",
"lb = f'α parameter value {Economy.initdata[\"α\"]}'\n",
"ax.plot(Economy.generate_sequence(T), 'o-', lw=2, alpha=0.5, label=lb)\n",
" \n",
"\n",
"ax.legend()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAhsAAAFpCAYAAAA1JerqAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nISIiIrFS2BAREZFY/R+umYs2hTC3DwAAAABJRU5ErkJggg==\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# SPEED OF CONVERGENCE FOR LOW, MEDIUM, AND HIGH α\n",
"\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"%matplotlib inline\n",
"\n",
"import delong_classes\n",
"\n",
"T = 100\n",
"\n",
"s_base = delong_classes.solow(κ=1.0, )\n",
"s_alt = delong_classes.solow(κ=10.0)\n",
"\n",
"fig, ax = plt.subplots(figsize=(9, 6))\n",
"\n",
"# Plot the common steady-state value of the capital-output ratio\n",
"ax.plot([s_base.steady_state()]*T, 'k-', label='steady state')\n",
"\n",
"# Plot time series for each economy\n",
"for s in s_base, s_alt:\n",
" lb = f'capital-output series from initial state {s.initdata[\"κ\"]}'\n",
" ax.plot(s.generate_sequence(T), 'o-', lw=2, alpha=0.5, label=lb)\n",
" \n",
"\n",
"ax.legend()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Basic Solow Growth Model (Solow_delong Python Class) \n",
"\n",
"### Capital Intensity $ \\kappa = K/Y $ as State Variable \n",
"\n",
"\n",
"\n",
"### Catch Our Breath—Further Notes:\n",
"\n",
"
\n",
"\n",
"----\n",
"\n",
"* weblog support: \n",
"* nbViewer: \n",
"* datahub: \n",
"\n",
" \n",
"\n",
"----"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
" \n",
"\n",
"----\n",
"\n",
"### Change Log\n",
"\n",
"**2019-07-25** by DeLong: Playing with Sargent and Stachurowski's QuantEcon: \n",
"\n",
" \n",
"\n",
"----\n",
"\n",
"__2019-08-05__ by Yinshan, list of changes made:\n",
"\n",
"1. Merged `generate_x_sequence` into one method\n",
"2. Added initializing steps to `generate_sequence` method to eliminate the need of redefining instance for every plot\n",
"2. Removed unnecessary `import` commands\n",
"2. Changed comment to docstring for the class `SolowKappa`\n",
"2. Changed $\\alpha$ to $\\alpha'$ in calculation of $\\kappa$\n",
"\n",
" Effect: slight change in $\\kappa$ value for each time period (converge slower to the steady state), but no change in general convergence behavior\n",
"3. Modified unpacking commands for self variables, removed unused ones and added used ones\n",
"\n",
"----\n",
"\n",
"**2019-08-07** by delong: list of changes made:\n",
"\n",
"1. Named `s_base` and `s_alt` cases\n",
"2. Added the six-panel summary graph\n",
"\n",
"----\n",
"\n",
"**2019-08-08** by delong: list of changes made:\n",
"\n",
"1. Renamed `SolowKappa` class to `Solow_delong`\n",
"2. Added info about Stachurski-Sargeant QuantEcon to the docstring.\n",
"\n",
"----\n",
"\n",
"\n",
"**2019-08-08** by Yinshan: list of changes made:\n",
"\n",
"1. Modified six-panel summary code, added loop and `figcontents` dictionary\n",
"2. Changed six-panel summary graph legend to global, added subtitles to subplots\n",
"3. Added illustration on \n",
"```\n",
"self.initdata = vars(self).copy()\n",
"```\n",
"and \n",
"```\n",
"if init == True:\n",
" for para in self.initdata:\n",
" setattr(self, para, self.initdata[para])\n",
" \n",
"```\n",
"\n",
"----\n",
"\n",
"**2019-08-17** by DeLong: typos corrected:\n",
"\n",
"----\n",
"\n",
"**2019-08-18** by DeLong: Added verbiage: model explication. Added equations: filling in some steps.\n",
"\n",
"----\n",
"\n",
" "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
" \n",
"\n",
"## Appendices"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Illustration on selected syntaxes:**\n",
"1. `self.initdata = vars(self).copy()` \n",
" \n",
" `vars(self)` returns a dictionary containing data attributes of the instance `self`. \n",
" \n",
" More technically speaking, for every module object in Python, the read-only attribute `__dict__` returns the dictionary used to implement the module’s namespace. \n",
" \n",
" In our case, `vars(self)` gives us all initial data attributes we just defined. `self.initdata = vars(self).copy()` copies the returned dictionary and stores it for future use in the initializing step of `generate_sequence` method. \n",
" \n",
"2. \n",
"```\n",
"if init == True:\n",
" for para in self.initdata:\n",
" setattr(self, para, self.initdata[para])\n",
"```\n",
"The above steps initialize all parameters stored in `self.initdata`. `setattr` is used to assigns a value to the attribute, provided the object allows it. Usually `setattr(object,name,value)` is equivalent to `object.name = value`. \n",
"\n",
" However, in our case, we need to get attributes dynamically named in a loop, depending on current `para`. `setattr` gives a handy solution. The usual `=` way of assigning value would return an error.\n"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAswAAAMCCAYAAAB9RJBqAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzs3XecXHW9//HXZ2a272Y3jSSkUlIJBEwggCBBFOECAl69\nIlgAuVKuIlLserl2r4g/xIJI8yoq90IAQxNQaUKiCTUQakhvm7K9zs7n98f3TDJMZje7yfa8n4/H\nPHb3nO855ztlz3zmM5/z/Zq7IyIiIiIiucX6ugMiIiIiIv2ZAmYRERERkQ4oYBYRERER6YACZhER\nERGRDihgFhERERHpgAJmEREREZEOKGAW2QUzm2Rmbma39XVfJDCzedFzcnVf96UndNf9M7Nzo/2c\n2z096/Lx3cwe64tjt6e3/p/7+rEXke6lgFkGPDOLm9m/m9njZrbVzFrNbJOZvWhmN5nZB/u6j73F\nzPLM7JNmdo+ZrTazRjNrMLO3zexuM7vAzEr6up+70tsfUqJjuZmlzOyADtr9LaPtub3Rt/7EzA43\ns9vNbKWZNZtZjZm9ZWYLzOyLA+G11V0G4oe2jCA+89YcPZ+3m9msvu6jSH+V6OsOiOwJM4sD9wEn\nAVXA/cAaIB84CDgbmAb8qa/62FvMbBpwFzCD8Fj8FXgbSAJjgfcAZwDfB0b2UTf7syThnPhp4KvZ\nK81sMjAvo91excw+DvwGMMJr626gEZgIHAOcCswH3szYbDrQ0Ls97TfuBhYC6/u6Izm8ANwT/T4E\neDfhXPmvZnaCu/+9z3om0k/tdSd9GXQ+RgiWXwCOc/fqzJVmVgzM7YuO9SYzGwP8BdgXuB74qrvX\n5Wj3fuBHvdy9gWIjIbg5z8y+6e7JrPUXRD8XAGf2as/6WPR/9HPAgRPd/S852hwNbM5c5u6v9k4P\n+5/oXFS9y4Z943l3vzpzgZndAFwIfAc4vi86JdKfqSRDBrqjo5+3ZQfLAO7e4O5/y15uZgVm9mUz\neykqWagxsyfN7N+6cnAzG2NmPzezFWbWYmaVZjbfzGZntftA9PXnd7OWH5/x1ej4rHV3RMv370RX\nvksIln/v7pfmCpYB3P0RYE7WcbaXP5jZlOi4m6LyhHkZ7Sab2f+Y2drovq6L/p6ctb8Lo/39e9by\n86LlDWZWkLVukZk1mVlR9BX329GqT2V9fXxu9n0ys0PN7H4zq4r2/XgUvO2OXwOjCdnSzGPkAecC\nTwOvtLdxZx+jjPajzOxmM9sYlc88b2af6qiDZjbMzL5vZsuibarN7C9mdmJX72wXzCRkIpfmCpYB\n3P1pd6/K6utONcxmdnW0fJ6ZfczMlkTP2zozuzb92jCz95rZY9H/5jYz+62ZDc8+bq5jZKy7LVo/\naVd3MHrt/8DMFkf/x+lShRvNbFz2foH0eeU/s16j86I27dYwm9lsM7sr+j9LH+cXFj74tnsfov+t\nl6L/lY1R38p3dd866ebo5+E5+vCYmXmujdq7nxbOiSvMrMTMfmRmq6L7+qaZfcnMrJv6LdIrlGGW\ngW5L9HNKZzcws3zgz8BxwKuEzFkx8GHgDjM71N13+ko+x372A54iBKp/Bf4AjAc+ApxiZv/q7vdF\nzZ8EWoATgK9l7OaErN9vi/ZthCzPCndfvot+FBO+TgW4elf9zpE5TTsAWAS8DtwOFAE10TEOBx4F\nygjlLa8QSl0+DpxuZu9z939G+0kHVCcQAtDM+0e036OAx6J9lwOzgSfdvTEKfiqAz/POr44Bns/q\n8xzgi8AzwE3ABOBfgb9Ez+NrHT8aO/kDcC0hm5x53A8C+wBfAg7MtWEXHyPMbAQhAN+f8Dp6ChgD\n3AA83M4xJhIet0mE19RDQAkhwH/IzC5091/n2jZrP+cCtwK/cfdzd9WeHf9n+5pZibvXd2KbXfkc\ncDLhcX4MOBH4AjDMzO4F/kgosbqR8MH448CIaJue8CHgIkIg/DTh//UgwmvhNDOb4+5ro7bp18an\ngMej/qet6OggZnYqoXTKgDuBlYTX/8WE18kx7v52jk3/G/gA4RuOhwnnh38nvB7f24X7uSut3biv\nPMK5dl/gQUI50xnAD4BC4L+68VgiPcvdddNtwN6AwwhvbCngt4Q3vYm72OYrhK+WHwASGcv3IbzZ\nOXB0xvJJ0bLbsvbz52j517KWH014Y9gClGYsfyJaXp6x7BngWcJX2b/NWD4r2vfNnXgM3hO1Xb2b\nj2H6/jnwvRzrDVgWrT8na91Ho+WvArGM5SuBTYBlLFtHCKbbgG9nLD892sc3dvWYZ6yfl9Hnc7PW\nXRgt/0UXHgMH1kS/3xQ9T+My1j9E+Hq9mPCV9TuOu5uP0Y3R8p9ktZ9DCFocuDpr3WPRa/2srOUV\nhA8TjcCojOXntvMYpZfnfHzbeQ38I9rmeeA/CP97+Z14XB/LWnZ1tLwamJ6xvAB4OXp9bCGUWKXX\nxYBHou0O3dUxMtbdFq2f1In/57FAQY59nBj16ZftvAavbufYOz32QGl039qAY7Pafylq/3A792EV\nMCFjeYJwTnHgiE4+j+0+74QPtw4syLHuMcA7ez+j5SvYcZ4tyli+D+Eaiyogr7P/o7rp1tc3lWTI\ngObuzxEyTxujn3cBK8xsi4VRIU7Lsdn5hBP55Z6RbXX3TcC3oz8vyLHddtFXtCcS3sT+O6tPTxMy\nlcMIAXzaX4A4IbONmZURgqNHCFmtzCzRCRnb7Mro6OfaXCujr0yvzrodmqPpRnJnfI4mZEqfcffb\nM1e4+x2EzOhUwoVfaX8lXFh4cNSHGYTs6Z2EDwjZmXXo3H3N9nd3vy1r2S2EgPeI3dgfhMAhTnid\npLO67wdud/f2LmDr0mMUlXicA9SS9a2Auy8mZPjfwcIIBscBd7n7H7O2qQL+k5C1+9dO3Me7CRfk\nfaUTbXF3J3wD8xjhw9zPCM9jnYVymi+Z2ZDO7CvDT919WcYxmoE7CMHx/e7+eMa6FPC76M8eGcnB\n3ddGfche/jAhkP9ANxzmdMJ54Q53fzJr3Y8JQeb7zWxCjm2/5e6rMvqVJHxLAF1/rR+acS641sz+\nSTjnrQOu6OK+duVSd29M/xGdZ+8Fygn/EyIDgkoyZMBz9/81s7sJX1EeQ8h8HUP46u8MM/sfQvbD\noyD1QGCt574g6a/Rz8N2cdj0+ifdPddXmH8lBPCHAf+TsexqQoD4J0LwkyAEiiuAD5vZ9CiIeG/G\nNnvq3OhYmVawc3nDC7kCBuBdu+jLX9nxuD+Rsexcwn19kR335y+EDN/lZlbm7rXRujpCBrOrFmcv\ncPdWM9sIDN2N/eHui8zsJeB8M/sOIZCI8c7ykmxdfYymEbLVT3qO2ntCYJpdy3xU9LPccg9llh75\nZHoH/QR274K0KFg73symEz5AzCEEaunbJWY2z3OXE+Sy03NHCNgAluRYl/5AOC7Huj0WlUGdQ3jd\nziK8fuIZTVq64TDtvk7cPWlmTxD+Pw4jfBjPlOvxWh397OprfRY7f/BYRch6Zx93T1S7+5s5lu9u\nv0X6jAJmGRSioPXh6JYebu5fCdnGTxIyavcQshrQ/lBP6eUVuzjk7uxnIVDPjozqCYQ34afYUfd4\ngpm9QSizeMXdN+yiHwDpNvvmWunu89K/RwHg13K1y9hPtt25r5l1zD+Jfq5x99fN7C+EuuPjzGwx\noU70AW+/trojVe0sT/LOYKerfg38lFAvex6wJPo2oz1dfYzS7Te20z7Xc5G+4O390a09pR2s22PR\nB7rtmWELwxneQgjof0L4oNoZuQL2ZCfW5XVy/111LXAZ4bn6MyFAT2dGzyUMn7en9uT8k+u1nn5M\nuvpa/427nxt9SNiHMJTid4AFZnZUB9+kdFVH/5+wZ/+jIr1KJRkyKLl7m7v/L+ENHHZkONNvxKN3\n3goIZQOZ7drT5f1EQf1TwEFmNpoQRD7jYSSP1wnjR7+PkK0ro/PZ5cVAMzDe2hmNoZNyXgXP7t3X\ndcBrwHssjHowjx1B9FOEDwrvo3sz6d3pt4Rg6QZCbeuNu2jf1cco/XNUO+1z7Se9zefd3Tq4nbeL\nvnar6JuaT0R/dufFZ53uAu0nf3b1wRcAM9sHuBRYCkx194+7+5fc/WoPw6/l+uZld3TX+adbeLDR\n3b9HKAk5hBA4Z0sBmFmux7lTj7HIQKeAWQa72uinAUQlAG8BY9sJLtPjjz67i/2ms43HtPMm0t5+\n0kHjxwhDdWXW7f6VEFi+P6tth6Js0B+iP7/ZmW26KH1f57WzvqP7Wka4+r8i+jvd34WEDwyZpRqZ\n2qKffZKBimqC7yR8/V/Pjse3PV19jF4lTOhxaDvDguXaz8Lo57G76EtfeMf/WS/bRhid5h2ib5ly\n1ernsj/h/fDh6ByRuZ9x0fpsu/Mabfd1Ep1H0s/trs4/PeFbQCXw2WgEoEzbop87Pc5kDVMpMlgp\nYJYBzcI4ru83s51ey1EWNz0W8BMZq24hvLH/KHpTTbcfAXwjo0273H0N4WK9SYSvcTOPO5cwzNs2\nQilIpnQm9ctRH7ID5nLgEkJG57GO+pDla4T6z4+b2U+s/SmKd2fM1r8TssXHmNmHM1dEfx9LGIru\nqazt0vc1fWFZ9n2dSRiubQth+LhM2wiZw1wXP/WWrxMmKPlAdhCVQ5ceo+jbhtsJHyiuzmo/h1BL\n+w7RxYBPAh8ys/NzdcLMDo6ypR0ys3Izm5Zr3N922u9nZpfmCu6jr/XTZT5PZK/vBf8AJtjO41B/\nnc6XUayIfh6TdU4oJZTn5PpQnB5qryuv0XuArcDHzOzIrHWXAfsBj3ZzHXGnRK/xHxJKXq7OWp2+\nviB7bPUTCB/+RQY91TDLQDeXMF7vBjN7ih0TXuwHnEIY8/deQrYw7RpCberpwAtm9gDhAqyPEOr5\n/tvds4O/XC4iBEo/it6sF7NjHOYUcF6OQOs5QjC4DyErl3mhWzqg3AdY7FmTQHTE3ddFb17zCW+8\nnzKzvwLLo76MJozkMJkw3FunZ2CLLpb8FOEDwh3RGLmvEq5wPyO6H5+MRjLI9Lfo2PsAr0ZlGpn3\n9WrChWp3RqMwZB6zzswWAcea2e2EYLMN+JO7v9jZvu+JKGjpVOCym4/RVwlZ9suiIDk9DvNHCUNx\nfTDHoc4mfNi42cwuJYybXUXIhB9C+BByFOE57siZROMwE+pzd6UcuI7wWv87oXShlvDcvpeQgd1E\n94+w0BnXEEawuNfM7iAEpEcTzgGP0X7Wfzt332BmfwTOAp43s4cJ9/n9QBPhAtnsbPVrhDrns8ys\nlTCUohOGh1zZznHqog87/wc8bmb/R3iNzSaMurOBMCxiX/kFcCXhg/cPMkYxuRW4CvhKNFrLK4Sx\n708mJAU6MzKLyICmDLMMdD8GPkv4uvoQQhB7GWFEgscItZUfygzI3L2F8EaYzop9jjAiwRvA2e7+\npc4c2MOEInMIda5TCW80JxPG7H23u9+bY5sUO2YIezJrWLs1hMAQdqOmN6olPZQQAD1FCJwuJXyg\nOJ5wodYFwAHuvrCd3bS370WEGcB+H+33KkJQ8gfg8Gh99jZb2TESR/b9WUQodci1Lu0ThIkrTiIM\nmfZtdowy0O909TFy983AuwnByDTC6/ZQQgnLT8gheo3MJrx22wiZ6Euj46wiBFsvdfNdg/DaOZMw\nG1wFIaj/IvBvhID9u8DMdkae6VEeZh48gzD021mE/+UVhGsBcgau7fg08D3Ch+z/IATh9xEe21yz\niLYRHpOnCB+S/4vwGs0uZ8je7l7C8/5AdIwrCSOb3ADM9l1MVNSTouHfvkeIDb6TsXwTYaSdBwkX\nJF/Mjg8U9+28J5HBx7ISOyIiIiIikkEZZhERERGRDihgFhERERHpgAJmEREREZEOKGAWEREREemA\nAmYRERERkQ4oYBYRERER6YACZhERERGRDihgFhERERHpgAJmEREREZEOKGAWEREREemAAmYRERER\nkQ4oYBYRERER6YACZhERERGRDihgFhERERHpgAJmEREREZEOKGAWEREREemAAmYRERERkQ4oYBYR\nERER6UCirzsgMpAsWbJkn0QicRMwE33gFBHZlRSwNJlMXjB79uxNfd0Zkd2lgFmkCxKJxE2jR4+e\nPnLkyG2xWMz7uj8iIv1ZKpWyysrKGRs2bLgJ+GBf90dkdylDJtI1M0eOHFmjYFlEZNdisZiPHDmy\nmvCtnMiApYBZpGtiCpZFRDovOmcq3pABTS9gkQHmsMMOm7arNh/96EcnLlmypBDgy1/+8uiubl9c\nXHzY7vew8x588MHSGTNmTE8kErNvvfXWoe21e/LJJ4unTJkyY8KECTPPPffc8alUqje61+P2lufy\n+uuvHz5x4sSZEydOnHn99dcPz7V9Y2OjnXLKKftPmDBh5iGHHDLttddey++NfveVb33rW/vU1tZ2\ny3vwa6+9lj958uSD9mQfmzdvjv/gBz8Y2V3tRAYbBcwiPei5VduKvn3fy2Mu/t2Sid++7+Uxz63a\nVrTH+3zuuVd31eaOO+5YOXv27CaAn/70p2O6un1v2X///VtuvfXWFaeddtqWjtpdcsklE3/5y1+u\nXLFixdLly5cX3nnnnUN6q4/brflnEQ99ZQx3fHIiD31lDGv+qecyQ3vP5caNG+M//OEP9/3HP/6x\nbPHixct++MMf7ltZWRnP3v66664bUV5enly1atXSz372sxsvv/zycb3X+973q1/9alRdXV2/eQ/e\nsmVL/Oabb96nu9qJDDb95p9VZLB5btW2ohsef2tUdWMyMbq8sLW6MZm44fG3Ru1p0JzOGN53331l\nRxxxxNSTTjpp//322++gD37wg/ulM69HHHHE1CeeeKL4kksuGdvc3BybNm3ajA9+8IP7ZW5fXV0d\nO+qoo6bMmDFj+pQpU2b87ne/q+jouJlZrNtvv738yCOPnLKnGbKpU6e2zJ07tzEWa383K1euzKur\nq4udcMIJ9bFYjHPOOWfLPffc0242ukes+WcRT/2/UTRVJxgyppWm6gRP/b9Rexo07w3P5T333FP+\nnve8p2bUqFFtI0eObHvPe95TM3/+/PLs7e+7776K888/fwvAeeedt+3pp58uGwzfJNTU1MTmzZt3\n4NSpU2dMnjz5oF//+tdDv/Od7+yzadOmvOOOO27K3LlzpwDMnz9/yKGHHjptxowZ008++eT9q6ur\nYwBXXnnlmJkzZ06fPHnyQR/72Mcmph+TJ598snjq1Kkzpk6dOuPaa6/dHsDOmTNn6tNPP739dTl7\n9uypzzzzzDtep4sXLy48+OCDp0+bNm3GlClTZrz00ksFV1xxxbjVq1cXTJs2bcaFF144rr3XVHY7\ngG984xujZs6cOX3KlCkzvvCFL+zb4w+qSB/QKBkiu+nb973S4RvDP1dsLW1OtsUKEvHtNc/NyTb7\nzz+9PP7wScPq2tvuG6fOWNfZPixbtqzo+eefXz5p0qTW2bNnT3vkkUdKP/CBD2zf9y9+8Yu1t912\n2z6vvvrqK9nbFhcXp+6///43hw0bllq/fn1i7ty5084+++yqjoJXgHvuuafs2muvHf3II4+8UVZW\ntlNEM3v27Kn19fU7ZRB/8IMfrD7jjDNqO3vf0lauXJk3ZsyY1vTfEydObFm/fn1eV/fToYe+0vGb\n/KqFpSSbYyQKdtSvJ5uNB744nglHtvtcctL39/rncu3atXnjxo1rSf89duzYlrVr1+70/G3cuDF/\nv/32awHIy8ujtLS0bePGjYkxY8YkO3Oczjj//PPHL126tLi79gcwc+bMhltuuWV1e+vnz58/ZPTo\n0a2PPfbYmxAytMOHD2/75S9/Oerxxx9/fcyYMcn169cnvve974154oknXh8yZEjqa1/72uhvf/vb\no6655pr1V1111aZrrrlmPcAZZ5yx3x//+Mfys88+u/rTn/70pOuuu27VySefXJcOXAE+9alPbb7p\npptGHH300atffPHFgubm5thRRx3VmNmn66+/fuQll1yy8eKLL97a1NRkyWSSH//4x2tOPfXUovTr\nq7W1lVyvqex28+fPH/Lmm28Wvvjii8vcnfe9730HPvjgg6Unn3xy+/8XIgOQAmaRHlLfnIwX58ff\nEYTkx2Ne35zcKQDZXQcffHD9AQcc0Apw0EEHNbz11ludrvtMpVJ22WWXjVu4cGFpLBZj06ZN+WvW\nrElMmDCh3QBl06ZNeeecc86B11133Yphw4blTP8tWbLkta7fk36uuTZOfuk7728832mu1XMpHXrX\nu97V+LWvfW38xRdfPPb000+vPumkk3YKJB977LGSt956q/CII46YBtDa2mqzZ8+uA3jwwQfLrr32\n2tFNTU2xqqqqxIwZMxo3b95cV1tbG08Hpeeff/6Wv/71r+UA55577rYf/ehHY5qbm9fccMMNI84+\n++zN2cc76qij6q+55poxa9asyT/rrLO2HXzwwc3Zbdp7TWW3e+ihh4Y88cQTQ2bMmDEDoKGhIfbq\nq68WKmCWwUYBs8hu2nUm2L26MZkoL8prSy+pbmyNlxclkt84dcb67uhDQcGOjGc8HieZTFpnt/3V\nr341bMuWLYmXXnppWUFBgY8dO/bgxsbGDlOS8Xjc77jjjjcvvPDCSR/60IeqcwVa3Z1hnjhxYmtm\nRnnlypX5mRnnbrHrTLDTVJ2gsHz7c0lTdZzC8iQnfV/PZQfGjh3b+vjjj5el/167dm3+cccdt9O2\no0aNann77bfzDzjggNbW1lbq6urio0aN6rbsMkBHmeCecsghhzQ/++yzr9x1113l3/jGN8Y++uij\nNemMcZq7c8wxx9QsWLDg7czlDQ0NdsUVV0xctGjRKwceeGDr5Zdfvm9TU1OHz2tZWVnq2GOPrfn9\n739f8ac//WnYc889t9M3EhdddNHWY489tv7uu+8uP/XUUydff/31K6dOnfqOoLmzryl357LLLlt/\n1VVX7RSYiwwmqmEW6SGnHrJvVW1Ta7y6sTWecqe6sTVe29QaP/WQfat6sx+JRMKbm5t3Cr6qq6vj\nI0aMaC0oKPAFCxaUrVu3bpcZzeHDhydPOumkurPPPnvzxRdfPD5XmyVLlrz26quvvpJ9251gGULA\nXFpamvrLX/5SkkqluP3224effvrpvfoYMvNDVTRVx2mqjuMptv8+80N6LnfhjDPOqH788ceHVFZW\nxisrK+OPP/74kDPOOKM6u90pp5xSdcsttwwHuPXWW4ceddRRtbsqKRkIVqxYkVdWVpa65JJLtl5+\n+eUbnn/++WKAkpKStnSd8rx58+oXL15cunTp0gIIdc8vvvhiQUNDQwxg9OjRyerq6tiCBQuGAowY\nMaKtrKys7c9//nMpwG233TYs85gXXXTR5i996UvjZ82aVT9y5Mg2srzyyiv506dPb/7617++6QMf\n+EDV888/X1ReXt5WX1+//QFv7zWV3e7kk0+u+e1vfzsifV/efvvtvLVr1yoZJ4POwD8bifRTh00Y\n2njRcQdsLC9KJDdUN+WVFyWSFx13wMbDJgxt3PXW3eecc86pnD59+vYLxdIuuOCCrS+88ELJlClT\nZvzmN78Zvt9++zV1dp/f+ta3Nrz88svF8+fP36PRKh5//PHiUaNGHfLAAw8M/cIXvjDxwAMP3D40\n1rRp02akf//5z3++8qKLLpo0ceLEmZMmTWr+yEc+slPA1aPGHd7IMZdtpLA8Sc36PArLkxxz2UbG\nHa7nMtLeczlq1Ki2q666at3s2bOnz549e/oXv/jFdaNGjWoDuOyyy/a9/fbbywE+//nPb962bVti\nwoQJM6+//vrR11xzzZo96U9/sWTJkqJDDz10+rRp02Z897vf3feb3/zmegi1xieddNKUuXPnTtl3\n332Tv/rVr1acddZZ+0+ZMmXGnDlzpr300kuFI0aMaIue84OOP/74KbNmzapP7/fmm29ecemll06Y\nNm3aDHd/x4eoY489tqGkpKTtvPPOy5n1/d3vfjdsypQpB02bNm3GsmXLii688MIto0ePbps9e3bd\n5MmTD7rwwgvHtfeaym73oQ99qOYjH/nI1sMPP3zalClTZpx55pkHVFVVdVupkkh/Ye6ag0Gks154\n4YUVs2bN0lePItJvrVixIm/evHlT33rrraXxeP+IXV944YURs2bNmtTX/RDZXcowi4iIDBI/+9nP\nhh955JHTv/nNb67tL8GyyGCgDLNIFyjDLCLSdcowy0CnDLOIiIiISAcUMIt0TSqVSnV6uC8Rkb1d\ndM4c+NM2yl5NAbNI1yytrKwsV9AsIrJrqVTKKisry4Glfd0XkT2hsRJFuiCZTF6wYcOGmzZs2DAT\nfeAUEdmVFLA0mUxe0NcdEdkTuuhPRERERKQDypCJiIiIiHRAAbOIiIiISAcUMIuIiIiIdEABs4iI\niIhIBxQwi4iIiIh0QAGziIiIiEgHFDCLiIiIiHRAAbOIiIiISAcUMIuIiIiIdEABs4iIiIhIBxQw\ni4iIiIh0QAGziIiIiEgHFDCLiIiIiHRAAbOIiIiISAcUMIuIiIiIdEABs4iIiIhIBxQwi4iIiIh0\nQAGz9Htmdo6ZPbwH2z9mZhd0Z59ERAYSM/uOmW02sw3R32ea2WozqzOzw8zsZTOb14n91JnZ/j3e\n4W5gZlPN7HkzqzWzS7txv7eZ2Xe6a38yMChglm5jZmeb2eLohLrezB40s2P2dL/ufru7n5hxHDez\nA/d0vxn7m2FmfzKz6ujE+jczO7oL219tZr/rxv506/5EZPAzsxVm1hidf9O3n0XrJgBXADPcfXS0\nyTXAZ9291N2fc/eD3P2xXR0nar+8x+5I9/oi8Dd3L3P3n2avVDJFukIBs3QLM7sc+H/A94BRwATg\n58AH+7Jfu2JmBwB/B14C9gP2Be4GHjazo/qybyIiXXRaFNCmb5+Nlk8Atrj7poy2E4GXe7+Lvapf\n30cLFIcNEHqiZI+ZWTnwLeA/3H2+u9e7e6u73+fuX4zaHGFmz5hZVZR9/pmZ5Wfsw83sUjNbHn1t\n+KP0icTMzjWzp6Lfn4g2eSHKoHzUzIaa2X1mVmlm26Lfx3Wy+1cDz7j719x9q7vXRpmI3wI/jI45\nz8zWZN2bRWVCAAAgAElEQVTnFWb2PjM7Cfgq8NGoPy9E6x8zs++b2T/MrMbM7jWzYbu7PxGR3WFm\n7wMeAfaNzil/MLM6IE44j74VtVsRtcXM4mb2VTN7K/rWbYmZjY/Wbf+Gz8wKzOwaM1tlZhvN7AYz\nK4rWzTOzNWZ2hZltis7752X0q8jMfmxmK6Nv956Klt1vZp/Lug8vmtmZ7dy/D0blJFXReXd6tPyv\nwPHAz6L7PaWLj9v/mdmGqG9PmNlBWU1GmNkj0ePzuJlNzNj2aDP7Z7TtPzO/sYz6+F0z+zvQAAyI\n8hZRwCzd4yigkJCZbU8b8AVgRNT+BOCSrDZnAnOAdwGnA+dn78Td3xP9OivKoNxBeB3fSsgmTAAa\ngZ91su/vB/4vx/L/Bd6dPvm3x90fImTV74j6Mytj9Sej+zAGSAI7fSXYxf2JiHSJuz8KnAysi84p\nH3P30mj1LHc/IMdmlwMfA/4FGEI4jzXkaPcDYApwKHAgMBb4Zsb60UB5tPzTwM/NbGi07hpgNnA0\nMIxQPpECfgN8PL0DM5sVbX9/9sGjIPgPwGXASOABYIGZ5bv7e4En2VF28nq7D1JuDwKTgX2AZ4Hb\ns9afA3yb8J72fHp9lBi5n3C+Hw5cC9xvZsMztv0E8BmgDFjZxX5JH1HALN1hOLDZ3ZPtNXD3Je6+\n0N2T7r4C+BVwXFazH0ZZ3lWE8o6Pdebg7r7F3e9y9wZ3rwW+m2Pf7RkBrM+xfD3h/2NYJ/eTy2/d\nfam71wPfAP7NzOJ7sD8RkY7cE2Va07d/3839XAB83d1f8+AFd9+S2cDMjBD0fSH97Rzhw/5ZGc1a\ngW9F3zg+ANQBU6NvD88HPu/ua929zd2fdvdm4E/AFDObHO3jE4QEQkuOfn4UuN/dH3H3VkIQXkQI\nwveIu98SfePYTPgmclb0bWra/e7+RLT+a8BRURb+FOANd/9t9H73B+BV4LSMbW9z95ej9a172lfp\nHYm+7oAMClsIX08l2guao0zAtYQMcjHhtbckq9nqjN9XEuqJd8nMioGfACcB6exFmZnF3b1tF5tv\nJmSAs40hZDu2daYP7ci+P3mEAF1EpCecEWWU99R44K1dtBlJOJcvCbEzAEYo9UjbkvWe0ACUEs6D\nhbmO4e5NZnYH8HEz+y9C4uTD7fRhXzIytO6eMrPVhIz0bosSG98FPkK4n6lo1QigOvp9+/nd3evM\nbGvUn3f0KbIyq0+rkQFHGWbpDs8AzcAZHbT5JeFT9mR3H0Ko07WsNuMzfp8ArOvk8a8ApgJzo32n\nyzay95/Lo4STYrZ/I9Q2NwD1hDeGsNNwMh2Z0dbb2Xf2/WklBOi7uz8Rkd6wGshVqpFpM6H87SB3\nr4hu5RnlHrvatqmDY/yGUPJwAtDg7s+0024doRQP2J71Hg+s7UQfOnI2oSzwfYSSkknpQ2S02X5+\nN7NSwreR67L7FJmQ1Sed4wcgBcyyx9y9mlC39nMzO8PMis0sz8xONrP/jpqVATVAnZlNAy7Osaur\nLFzANx74PHBHO4fcyDsvlCgjnLirovqx/+xC9/8LODq6CGOYmZVFF5x8EvhS1OZ1oNDMTjGzPODr\nQEFWfybZzlc7f9zCkHXFhIsi74wy3ru7PxGR3nAT8G0zm2zBIVk1uLh7Cvg18BMz2wfAzMaa2Qd2\ntfNo21uAa81s3+giw6PMrCBa/wwhq/tjwgXY7flf4BQzOyE6l15BSN483YX7mjCzwoxbHuE9pZnw\n7WkxodQk27+Y2TEWLl7/NrDQ3VcT6qinWBhmNWFmHwVmAPd1oU/SD+kNWbqFu/+YcKHI14FKQobi\ns8A9UZMrCZ/aawkn2VzB8L2EMo3nCRdN3NzO4a4GfhPV6P0bod65iJC1WAg81IV+vwEcA8wCVhBq\nl/8V+IC7/z1qU024QPEmQpagHsgc5SJ90eAWM3s2Y/lvgduADYSvHy/dw/2JiHRkgb1zHOaOLsTu\nyLWEYPRhQqLjZsI5NtuXgDeBhWZWQ/jGbmonj3ElYTjPfwJbCaMSZcYk/wMcDLQ7Jr27v0a4QPB6\nwvn/NMLQernqndvzS0LCJX27NTr2SsL5+RXC+0q23xOSM1sJFy9+POrTFuBUQvC+hXAx46nuvrkL\nfZJ+yNz1zYD0PTNzQrnGm33dl+5gZo8Bv3P3m/q6LyIiA42ZfRL4jLvv8eRXIt1BGWYRERHpN6Iy\ntkuAG/u6LyJpCphFRESkX4hqoCsJ13L8vo+7I7KdSjJERERERDqgcZhFRAaRaJSZ/wFGEYavutHd\nr8tqcxVh2C4I7wPTgZHuvtXMVhAuzm0Dku4+p7f6LiLSX/XLDPOIESN80qRJfd0NEZEuW7JkyWZ3\nH7nrlj3DzMYAY9z9WTMrI4w8c4a7v9JO+9MIs7W9N/p7BTCnK1f165wtIgNVZ8/Z/TLDPGnSJBYv\nXtzX3RAR6TIzy57lq1e5+3qi6d7dvdbMlhFmGcsZMBNmUvvDnhxT52wRGag6e87WRX8iIoOUmU0C\nDgMWtbO+mDCl/F0Zix141MyWmNlnerqPIiIDQb/MMIuIyJ6Jpuu9C7jM3WvaaXYa8Hd335qx7Bh3\nXxvN3vaImb3q7k/k2P9ngM8ATJgwoZt7LyLSvyjDLCIyyETT+94F3O7u8ztoehZZ5Rjuvjb6uQm4\nGzgi14bufqO7z3H3OSNH9lnJtohIr+i2gNnMbjGzTWa2NGPZMDN7xMzeiH4O7a7jiYjIzszMCFMZ\nL3P3aztoVw4cR5iSPr2sJLpQEDMrAU4Elubeg4jI3qM7SzJuA35GGM4o7cvAX9z9B2b25ejvL3Xj\nMWHDUli2AKpXQ/l4mH4ajJ7ZrYcQERlA3g18AnjJzJ6Pln0VmADg7jdEy84EHnb3+oxtRwF3h5ib\nBPB7d3+oV3otIrIbli9dyMZFdxKvXUNb2ThGzf0w+888stuP020Bs7s/EV1gkul0YF70+2+Ax+jO\ngHnDUnj6eiisgNLR0FgV/j76cwqaRWSv5O5PAdaJdrcREh2Zy5YDs3qkYyIi3Wz50oVsfvjHWH45\nyaJ9iDVWsfnhHwNXdHvQ3NM1zKOiIY4ANhCyF91n2YIQLLc1w9olEM8Lfy9b0K2HEREREZH+ZeOi\nO0nll2NtTZRtfQlP5JPKL2fjoju7/Vi9NkqGu7uZtTtLym5dcV29GoaMhS1vQqoVKl+FMYeE5SIi\nIiIyKC1fupCR6x4lv62RPJLUxsppaK6mrXgfErVruv14PZ1h3hjNOpWefWpTew1364rr8vHQVAPD\nDoC8YqjbBC/fA+tfhL99P5RsiIiIiMigkS7FiKWSFNBMjDaKU/VgcWLNtbSVjev2Y/Z0wPwn4FPR\n758i42rsbjH9NGiqguZaKBoG1WugcVsIoNP1zAqaRURERAaNjYvuJJZqIUk+cVI0UEJ9rIzy6mXE\nWqoZNffD3X7M7hxW7g/AM8BUM1tjZp8GfgC838zeAN4X/d19Rs8MF/gVVcCmV6BkJFRMgKatkChQ\nPbOIiIjIILF86UKeuflK9lt9F/vWvQQGK4tm0pA3lAStJLyVESd2/wV/0L2jZHysnVUndNcxcho9\nM9yqV8OQfaHyNWjYEuqZRx+semYRERGRAS5dhpHf1kSKGHm0UJSqZ1vRCGpKZlDbWIUXVXBUDwTL\nMJimxi4fH8owRkyBdc9B7QbY8hbkFYV6Zo3PLCIiIjKgpMdZHrn2UfZJtdASK6QuVk5RqoFmK6S0\n5i1qY/nEWqoZMe+CHuvH4Jkae3s9c11GPfNWGLa/6plFREREBpjt4yw3bqMw1UAR9QxLbaa2aCxr\nhx5Bc7yEIW2b8aKKHivFSBs8GeZ0PfOyBbDy76GeOa8wXAQ4dOKOemZlmUVERET6vY2L7sTyh5Bo\nriJGGxCjxsoobNlGy7Cp1MbzqSmq4KhPX9PjfRk8ATPsXM+8+Q2or4RVi8AM6qNR7VSeISIiItIv\npcswxq1ZQKvnkYzlUxeroNAbaLV8CpK1WGNVj5dhZBo8JRmZysdDUy0MnwypNti2PJRoZE6frfIM\nERERkX4lswwjSR5lVDMstZma4vGsqzgcxyBmvVKGkWlwZZjTpp8WgmIATwEWps8uqgg3UHmGiIiI\nSD8TyjDKyGvcRCv5GEYdpRQ1VVJbOIKa0kmMOPGKHhsNoz2DM2DOrGdu2Bymz8bDrICNW0M9s4ab\nExEREekXMssw2jxGS6yIlrwy3s6fRHHTRoa0baamqIIR8y7otaxypsEZMMOOemYIZRjN1VC1CtYs\ngVQyZJ413JyIiIhIn9pehpFXSspjlFBHSaqBtwv2p61iErWNw3rt4r72DM4a5kzp4eYKhoDFYdvb\nULsO9j1U9cwiIiIifWj50oU03Hsl+9QsZd8tC0lhQIxayihpXL/94r6emO66KwZ/wLx9+uyh0LAV\n8kpCiUZjFRSWa/psERERkT6QziyXJbcSp40CGimhgdWF02hMlPfaGMudMXhLMjJlDjdXNAw2vBjK\nM7a+BRYDTKUZIiIiIr1o46I7iSUKiXmSfFpopYCGWCkFbfXUVkzv8zKMTIM/w5ypfDy0tYZJTWrX\nh0lN2pIQz1dphogMCmY23sz+ZmavmNnLZvb5HG3mmVm1mT0f3b6Zse4kM3vNzN40sy/3bu9FZG+w\nfOlCnrn5SiasuZexWxeSJAEYDbFSWi2f4tZt/aIMI9PeFTCn65m3vh0yzQ40bgnTZ6s0Q0QGhyRw\nhbvPAI4E/sPMZuRo96S7HxrdvgVgZnHg58DJwAzgY+1sKyKyW9JlGPHateBQQBNFNLG6aAat8SJK\nUjXU5w3tF2UYmfaOkoy0dD3z3RdBLAHFQ0N2eetyqFoBDVtCO5VniMgA5e7rgfXR77VmtgwYC7zS\nic2PAN509+UAZvZH4PRObisisksbF91JnBjFDeuotzLi3ka9lVHUWkVtxXTqW6r7XbAMe1vADCEQ\nnnbKjov+Vi2EylfCCBoVE3eMnHH05xQ0i8iAZmaTgMOARTlWH21mLwJrgSvd/WVCYJ05SP0aYG4P\nd1NE9gLpcZYnrb4bB+pi5dQWj2Nr3gzK6t7u83GWd2XvC5jhnTMBploglgepVojFoaAsLNdMgCIy\ngJlZKXAXcJm712StfhaY4O51ZvYvwD3A5C7u/zPAZwAmTJjQDT0WkcEqXYaR8CQO5NFCSaqWrfnl\neOkoahOF/eoCv1z2zoA5cybAuo3hYkAAM1i9KATPdRvDMpVniMgAY2Z5hGD5dnefn70+M4B29wfM\n7BdmNoKQbR6f0XRctGwn7n4jcCPAnDlzvBu7LyKDRDqrPHLto4xMtdIaK6DOyin2OpqsiLLa5dTG\nC4i1VDNi3gV93d0O7Z0BM+w8E2CiAFY8BdWrIFEE5eNUniEiA46ZGXAzsMzdr22nzWhgo7u7mR1B\nuAB8C1AFTDaz/QiB8lnA2b3TcxEZTLbP3pc/hMJUA3k0E0/Vsqr4YLYWDKes9q1+X4aRae8NmNPS\n5RmFFWAABsnGMDNgUUVoo/IMERk43g18AnjJzJ6Pln0VmADg7jcAHwYuNrMk0Aic5e4OJM3ss8Cf\ngThwS1TbLCLSJRsX3Ynll5HXVEmMNiBGjZVR0FpN8/Dp1Mbz+30ZRiYFzJnlGY3bwiyAAC21YVzm\npq1QuyEsU3mGiPRz7v4U0cf/Dtr8DPhZO+seAB7oga6JyF4gXYYxbs0CUm40x4qpjQ2l0BtotXwK\nkrXbp7vu72UYmRQww87lGW1NsPY52Px6yDSXjlZ5hoiIiEgHtpdhJIpxN4qppzjVyNtlh7MtUUxF\n9TKIWZjuegCUYWRSwJwpszzD28LEJs01MOZQlWeIiIiItGP50oU03Hslo1u3ECNFK3GcOHVWRknj\n+jDVdekkRpx4BUcNoEA5TQFzpszyjNaGMIV2Ih/qNwEGdetUniEiIiKSIZ1ZHp3cTJwkCZLkYawu\nmk5ha82AurivPQqYs72jPGNbmP1v8xtQ+RoUDVV5hoiIiEiGMHsfxL2NBEmarJhmK6YwWRsyywPo\n4r72xPq6A/3W9NOgqRqKh0OyGdxDAF0xPpRnFFaETLSIiIjIXmj50oU8c/OV7Lf6bsbVPEsLeaSI\n02TFtFoexa3biLVUM2ruh/u6q3tMGeb2ZJZntLWE7HJ+MWx+E7YsD0PPYSrNEBERkb1OugwjP9lA\nijB7nxNjbdF0ipJVlCS3UZc3lBEnXjFgyzAyKWDuSGZ5RsPWUJZR+UqYSrt4OMTzVZohIiIie40d\ns/c9wuhUM02xYupi5RSl6mm2Iopat1FbMZ36lupBEyyDSjI6Z/ppYbSMllrIKw3lGXUbYcRklWaI\niIjIXmH7sHENmylJ1VFAI8NSm6kpnsDaoXNpjpcwpG1zGDZuEAXLoAxz56TLM+6+KJRlxPOi8ow3\nwAwat4Z2Ks8QERGRQWZHVvlRKojRGivEASdOVWwIRc2bqRl64ICbva8rlGHurNEzYdopMOlYOOgM\nKCiH6lVQtQoKh+4YOWPD0r7uqYiIiEi32J5Vbqwi7knKUtsYlVxDPaU0WjFtJN4xe99guMAvl14J\nmM3sC2b2spktNbM/mFlhbxy3200/DZqqoKkGUi0QL4DoMxaGyjNERERkUNm46E5S+eVgTr43E8Np\npoDWRAkbK96FYztm7xtkZRiZerwkw8zGApcCM9y90cz+FzgLuK2nj93tMkfOqNsI5RMgrxDammHV\nohA0N1WHtirPEBERkQEqXYYxbs0CmijGLUa9lVHm1dTFhpDfVg/x/AE9e19X9FYNcwIoMrNWoBhY\n10vH7X7vmNikCgrLYe1i2Px6SDYPGauJTURERGTA2l6GkT+EFgqo8M2YG2sKp7G16CAqql/dkVUe\nwLP3dUWPB8zuvtbMrgFWAY3Aw+7+cE8ft8dNPy0ExRDGZM4rDtNpG1CzFmrWhYsEp52ibLOIiIgM\nCMuXLqTh3ivZp3UrmOHuGEYDxeQl62mKF+w1WeVMPV7DbGZDgdOB/YB9gRIz+3iOdp8xs8Vmtriy\nsrKnu7Xn0uUZRRVQuyFklsceHoacW70wDEPnrosBRUREZEBIZ5bLkluJ0UaR11NKHWvyD6Q2MXzQ\nDhnXGb1RkvE+4G13rwQws/nA0cDvMhu5+43AjQBz5szxXujXnssuzyiqCNnlWAKa66AoL5RsQKh7\nVpZZRERE+qmNi+4kFssj5knyaaGVfBpjJeR5C7UV0wftkHGd0RsB8yrgSDMrJpRknAAs7oXj9p7M\n8gxvC8PMNWyGRD6sWhhG1KjbuKOtAmcRERHpJ9IX+E1cfTcOtFBAHq00xMpotXyKW7eFmfvmXdDX\nXe0zPV6S4e6LgDuBZ4GXomPe2NPH7VWZ5RkY5BXB/seBxcNU2ttWQvE+Ks8QkR5nZuPN7G9m9ko0\nnOfnc7Q5x8xeNLOXzOxpM5uVsW5FtPx5MxtcyQ0R2Um6DCNv6+sA5NNCIc2sKZpBa7yIklQN9XlD\n98oyjEy9MkqGu/8n8J+9caw+ky7PSGebCysgtiIEzalWaKmDdc+GYece/CKc/N/KNItIT0gCV7j7\ns2ZWBiwxs0fc/ZWMNm8Dx7n7NjM7mZDEmJux/nh339yLfRaRXrZj9r5HGJ1qpilWTJ2VU+x1NFkR\nRa1V1FZMD5nlvTxYBs301/0ys80NW6BiIpSOgfqNUL0mjKZRv1mZZhHpEe6+3t2fjX6vBZYBY7Pa\nPO3u26I/FwLjereXItKX0lnlWEMlpalaCmhkWGozNcXjWDP0SJrjpXv1BX659NY4zHuX7IsBN7wI\nLaWQSoZa5vwS2PyGhp0TkR5lZpOAw4BFHTT7NPBgxt8OPGpmbcCvoguyRWQQ2JFVfpShGMlYASkM\nI0FtrIyilq3UDJtCbTx/r77ALxdlmHtSeirthi1QOhoSBWGs5obNYbmnVNcsIj3CzEqBu4DL3L2m\nnTbHEwLmL2UsPsbdDwVOBv7DzN7TzrYDayhQkb3c9slIGqtIeAtlqW2MTK6jzobQZMW0kaAgWYs1\nVhFrqWbU3A/3dZf7FQXMPSldnlEyAhq3QukoKN0HEkXQ0gBtLVBQEuqdly3o696KyCBhZnmEYPl2\nd5/fTptDgJuA0919S3q5u6+Nfm4C7gaOyLW9u9/o7nPcfc7IkSO7+y6ISDfbuOhOUvlDiLXWke8t\nGNBIEclEMRsrDsOxHbP3qQxjJyrJ6GmjZ4YL/NIXAq58CoqGQX1lKM14+6ko0xy9X6k8Q0T2gJkZ\ncDOwzN2vbafNBGA+8Al3fz1jeQkQc/fa6PcTgW/1QrdFpIekyzDGrVlAm8dpiRVSZ0Mo9joaYmXk\nJ+sgnr9Xzt7XFcow94bsYecSBTD5fZAohG3LoWol5A9ReYaIdId3A58A3hsNDfe8mf2LmV1kZhdF\nbb4JDAd+kTV83CjgKTN7AfgHcL+7P9Tr90BEusX2i/vqN+FulFAbLu4rmcCaoUcqq9wFyjD3luxh\n5/LLwAzihdDWBAZsXR7qm3UxoIjsJnd/inBG6ajNBcBOMxC4+3Jg1s5biMhAs3zpQhruvZIxrZXE\nSNFCHk6cWkopaqqktnCEsspdoAxzb8vMNtdthIrxMG5uuC59/XNQvyWMpqFss4iIiOyGdGZ5aOtG\n4rSSoJUimlhdNIPGRLmGjNsNyjD3hexh54oqoG4DxPLDhYCthLGat72tbLOIiIh0yjsnI2khjxYc\no96G0BoroDBZQ23FdA0ZtxuUYe5L6WHnGqsg2QQlIyEWg3gBrHgCmms09JyIiIjs0vZh4+rTk5E0\nkKCVFHFaYgUkSVDcuk1Dxu0mZZj7Uro8Y9kCwCAWhwNPhLX/DL8314Wf658LQbOm1BYREZEMmZOR\nDAOSlr99MpKtsaGkPEZbrICS5Dbq8oaqDGM3KcPc10bPhOO/AmfeACMmhxE0IAw9l2yG1nqoWh1G\n1NCU2iIiIhLZMRnJNvJTTZSlqhjRtoFaK98+GUmMNmrLp7GpbAbFp1+jYHk3KcPcX2RnmxMFUD4O\nmmvBk1C3KSzb/LrqmkVERPZimVnlchI05ZWToBWAekpIJorYVjqTiuplO4aNm3eBguU9oIC5P8ke\nem7dc1A2OswS2LwpDD/XloT84h11zUd/TkGziIjIXmJ7Vjm/nJi3UeS1DG/eRC1lxC1Fk5VQkKyj\nVpORdCuVZPRH2VNql4yAIWMhvxS8DZKNYcKTdLb5b99XmYaIiMheIExxXQ4GBd5EgjZayaM5Ucq6\nisM1GUkPUYa5v8o1pXZxFEDHC0L2OV4Qptfe/CbM/wwMnQijD1GphoiIyCCTOcV1MwWkLI96K2OI\nV1EbKyfR1qQprnuQMsz9WfaU2haDA06AwiEhWE61hdKMtdGsto1VGoJORERkkNlehtGwmTaPU+7b\nGJaqpL5gJCsqjiZFXFnlHqYMc3+XXdccz98xZnPj1vB7WzO0WhiGziyMpqEh6ERERAa89BTXo1s3\nEyNFKwkgRh3F5CfraE6MV1a5FyjDPFC0m22ugHghNNVAQyXUbgzLNASdiIjIgJY5xXWCVvJooZhG\nVhdOoz4xTFNc9yJlmAeSXNnmkuHQWB2yzXnFIdtcsxbySmDzGxqCTkREZIB55xTXzdunuG6wMlpi\nBRS01WuK616mDPNAlJltLqgIZRhFQ6FiUvi9pQ4aNkHDFki1qq5ZRERkgEhnlWN1GyhL1VBA4/Yp\nrptjhSTJ0xTXfUAZ5oEqnW2GEAg/+MVQhjFkPMQrQ9CcbAZPwbYVUL9J2WYREZF+KnMykhGeojWW\nTxsxIEZNbBjupimu+5AC5sEg1xB0eftA45Ywpfa6JRDLh7wiDUEnIiLSz+yYjKSMolQ9CVqItzmb\nYqMo9GZSxInTSm35NOpbqhUs9wGVZAwW2RcFxuJw4PvDEHSJwpBpbq6F1c/sGI5OpRoiIiJ9ZvnS\nhTxz85Wk5l9ERd2blFW9ipECYtTaEDyez6aKQzUZST+ggHkwGT0Tjv8KnHkDjJi8Ywi64pEhuxyL\nhcC5pT5cGNhSv+PCQM0WKDIomNl4M/ubmb1iZi+b2edztDEz+6mZvWlmL5rZuzLWnWRmr0Xrvty7\nvRfZe2zPKjdWkefNDEltY1RyDfWU0mjFtFghBcm67ZORxM68gaM+fY2C5T6ikozBKJ1tXraAMASd\nwf7zYM0iSKVCZrktBW/8GQrLQ8b5jUfgxTtg/+Ph8E+rTENk4EoCV7j7s2ZWBiwxs0fc/ZWMNicD\nk6PbXOCXwFwziwM/B94PrAH+aWZ/ytpWRPZAZq1yOQma8srJ8xYMaKSI1rwStpQeSEX1sh1Z5XkX\nKFDuYwqYB6tcQ9AVlkNjTSjTSDZBWws0RJOfxPND/fP6F0L7oz+noFlkAHL39cD66PdaM1sGjAUy\ng97Tgf9xdwcWmlmFmY0BJgFvuvtyADP7Y9RWAbNIN9hRq1xO3Nso9lqGN2+iljISJGmIlZGfrNcU\n1/2QSjIGu52GoCNc7FdQBkXDwrjNeUXQWg9NVVC3SWUaIoOEmU0CDgMWZa0aC6zO+HtNtKy95bn2\n/RkzW2xmiysrK7uryyKDVnrGvpE1LzN867MUew1x2mglj+ZEKWuHzlWtcj+mDPPeIHsIumULoPJV\nSBRA2WjIK4Xm6jBbYLIxtEsUakQNkQHMzEqBu4DL3L2mu/fv7jcCNwLMmTPHu3v/IoNJOrO8T3Ib\nAENSW8mnhVbyqYmVk2hrUla5n1PAvLfJLtXY/AbgYeKTxm2QXwqpJDTXwKqnIb8k1DwreBYZMMws\njxAs3+7u83M0WQuMz/h7XLQsr53lIrIbMuuVhwGF3oiRoo08tlkZSfJw4hBLqVa5n+uVkoyoPu5O\nM3vVzJaZ2VG9cVzpQLpUY8ysEChjUDwChoyFvMIwLB0OrY1Q+TpseD600XB0Iv2amRlwM7DM3a9t\np9mfgE9Go2UcCVRHtc//BCab2X5mlg+cFbUVkS7aMQrGNgpSjZSlqiigkTht1MdKaYyVkufNGgFj\ngDWidt0AACAASURBVOitDPN1wEPu/uHoJFzcS8eVjoyeCaf9ZEeZxqv3g8XCSBlr/kEIkLdCqiUM\nQZdIhZrnZPOOOmfNHCjS37wb+ATwkpk9Hy37KjABwN1vAB4A/gV4E2gAzovWJc3ss8CfgThwi7u/\n3LvdFxnYMrPKFcRoiZcQJwlADRU0WyGt8RLN2DfA9HjAbGblwHuAcwHcvQVo6enjShfkHFFjSDSi\nRjlhaLp4yDZ7Cl5/MIyo0dai4ehE+hl3f4pweW9HbRz4j3bWPUAIqEWkizJHwUh4C4XeSCK1mWrK\nSVgbTVZM3DVj30DUGxnm/YBK4FYzmwUsAT7v7vW9cGzpiszxmwsqwkWAIw+C2rXQWB0C5mQzkIL6\nymg4ugQUlMPKZ2D1ItU4i4jIXmfnsZUryPdmDKeZQpoTpVSWTdbYygNYbwTMCeBdwOfcfZGZXQd8\nGfhGZiMz+wzwGYAJEyb0Qrckp1wjarTUh+B57GyoXBYmOqleHQ1H1xiC6ZY6KB+vCwRFRGSv8s6x\nlZP/n707j5IsLet9/332EHNmZGbNY1dPQLctCKugAZFRuKAMui5LQfGqR2+v6wUUxQH0noPHs/R4\nVTygiNhXkYMHUU8DMsiBBhxawGqh2xaKLhq6q6u7q7oqKyvHyMgY9vDcP94dmVFZmVnZVTlF5PNZ\nq1ZlRuyI2Lu62PXjyed9Xko6Mz9bOSSm7g2QS+ZsCkaP24jAfBo4raqdOaB34ALzRWxE0Ra03Di6\nsOTG0eUGoV2DuUm3m2B71vU818fAz1+8QNA2QjHGGNNn5mcrRxMkXo6y1lCENjlafoXRwSdbVblP\nrHtgVtVzIvKYiDxZVR8AXoLtGtV7lhtHlx8EbzTbBKXt2jTaPgSxm+kczdkCQWOMMX2nU1neE48j\nKKV0ipA2bfLUvCpBarOV+8lGTcl4M/ChbELGSbIV2aYHdfqcv/JncPIfXFAevta1aWjipmx4PkTN\nbIHgZ9xsZz+0Vg1jjDE9r7tfeacmFNRt+BUTMutVSdRH8ayq3Gc2JDCr6n3A0Y34LLMBFo+jO/s1\nmH4Udt+SLRCcAb8JcRvSyPU5t+tuI5SwAFOPQW3UpmsYY4zpKfP9ymGZUjqLT0SONjEhdW+QSHKU\n0hnGBm62qnKfsZ3+zJVbaYHgvqe7BYJ4btvtpA0oNGdh+gxUD7heaJuuYYwxZovrrirvUCXyCoCi\neEzJDiJCIr9os5X7mAVmszaWWyDoh3D9S9xGKOLD5Cn3WBK58NyquQWEsxesZcMYY8yWszAFY4Bi\nWiegjZ8oE7KDkIi2FGy28jZggdmsvZU2QhGB6jXuuMaj4PuubWP82zBz2rVs1CcsPBtjjNlU3VXl\nEaDtFRBSwGNWSkRBiYnK9TYFY5uwwGzWz1IboQzshyAPiFscWNnrtt5uzQDq+p4vPODCc1CAOQvP\nxhhjNlZ3VbmQzhHSwk+VCYbJSUxLiuTjWWo2BWPbsMBs1tfiVo3u6RpD17jpGp4P5V1umkZz2k3b\n0MSNqBt7AKZP22JBY4wx6667qjwMtL0SHgkg1CkRhRWrKm9TFpjNxlluusaumxema+TKLkCHJVd1\n7oTnxgy0HoPB/W5TlEe+tLBYsLLXvX/ScrsNWgXaGGPME9RdVc6nDXK08NMJJhkmtKrytmeB2Wy8\nlaZrXBSeK1l4LsPUo26xYBpDq+4mb5R2QtxyVWjx4JrvtvYNY4wxT1hnx7690QUA8jRRhDnKRGGZ\n8coNVlXe5iwwm8212vAsAtUj4HnQfMSFZxGoPQ6FKngBnPpn97sXui25LTwbY4y5jJPHjzF+5zs5\nEJ0DUnxSfGKalGh4ZXJx3XbsMxaYzRayUnge2A9BDhAXlIeuzarNMyABqELtrAvPfg7qYzB73r1m\n6rT1PhtjjLlIp1957+nPsl8bBESuqiwDRJIHTVHEqsoGsMBstqrVLBYUD0auc78nLTfT2c+7No24\nkVWjaxDNuN7msAyPfNl6n40xZpvqhOT8heMMNR+nHA5T0WlSZL6q3PIKJAS2Y5+5iAVms/WttFgw\nV3YLAAGGj7ggHeRd73NQgNY5t2FK1IBoyvU+l3fB2Lfg/Dfdcdb7bPqMiLwfeCVwXlUv+YssIr8E\n/Gj2bQDcBOxS1QkROQXUgASIVfXoxpy1MetrYVFflWJ7gpLWGGxPkSK0KDHtlUFTEi9vO/aZS1hg\nNr1jqZaN6cfgyPe4x2rnXJDe+9SF3mfPh8o+V4VuTrveZ1jofRYPHvoHt4GKl7u497k4DKg7zkK0\n6S0fAN4DfHCpJ1X1d4HfBRCRVwE/r6oTXYe8SFUvrPdJGrMRukfFVQmYy42wMxklxicipEERPB8F\nfBLbsc8syQKz6U3d4bnbJb3PB9wMZ8SF4+phN6auVXMBWROYG8vCcxvq591EDk1dT/TAfpibhDhy\n72utHKYHqOpdInJklYe/Hvjw+p2NMZunu6rsa0RJZ9jRPE+K0CZPPRginzYYqz7VpmCYFVlgNv1l\n1b3P17pWjTSGqA65Afd7GmeBetZt2d2agSSCmTMwsNttnnLh2+79rZXD9DgRKQEvB97U9bACnxeR\nBPgTVb19U07OmKuwuKrcyA2R1xY+KREhc5QQzyOXNGj6ZZuCYS7LArPpX6vtfa4edkHaD92iwXzF\nBWY/Dyi0s/DcbkDjDBR3uOkbp77kFhZ6gbVymF71KuBLi9oxnqeqZ0RkN/A5Efmmqt61+IUichtw\nG8Dhw4c35myNWYXuqnKgEWWdZkfzPDUGyOEx6w3ga8xE8TpGGidp5watqmwuywKz6X+r7X3unvsc\nFKC804XeVs2NqvN8QAB1kzgaEwszoGfPuyp0mrj3G9hnrRymF7yORe0Yqnom+/28iHwMeBZwSWDO\nKs+3Axw9elTX/1SNubzOBiR7onFUfEo6iyK0ydHyK4wOPnm+9SIeuR659Vd4uoVkswoWmM32stre\n533f5cJza9bNeS4OuekbhSE38zlpXzzGLmlBEixq5WjBzGkXvMdPwYVvAXJxK4dVo80mEZEq8ALg\nDV2PlQFPVWvZ1y8DfmOTTtGYJ6RTWT4QjQIpgSYERLQpUPOqBGnTWi/MFbPAbAwsXYU+G7oxdMUh\naE7BrpuWHmOXK0E75/qgOyEahfacC89xGxrnFqrRD/2Da+VIYpg956Z4WDXarCER+TDwQmCniJwG\n3gGEAKr6vuywHwTuVNV610v3AB8TEXD/Pvylqn5mo87bmCvR6Vfec/pO9muDkDaK0JQSMzKCKiie\nLegzV8UCszGLLVWFXrGV4zu6WjmKWSvHkAvPQcG1c4jnFhmqQiObytGpRrdnXJV65jSUdsCFh2Ds\nAfeaxQsLO0G6ds6FeatMmyWo6utXccwHcOPnuh87CTxtfc7KmLWz1AYkA+pmKgfEtCjQ8Mq2AYlZ\nMxaYjVmNJ9zKUXOtHIWqa+XYcUO2I2E2laMTqL2cC9GdanQSweyoex0CD37ebQXuBTD2oNtsJYnc\nosOgaJVpY8y2072or9Qap6wz8xuQtClmG5CobUBi1pQFZmOuxpW0cnSmcsxXo6sL1eig4BYXeqGb\nBd1ZWKgKjSxIN2suRA/sdTsYnnnc7V44cWr5kXdWmTbG9LiLR8X5NMMhdqajRASk+F0bkLhtrm0D\nErOWLDAbs1aeaCvH4oWFnWr0yPVZ+0YKcQNKuyCeg1aQ9UdPQ6oQN93uhWnkgnPjTLYBi79QmZYA\nxr4N5090VaZLK1em/fzC11alNsZsAQtV5UFCbVHRJjtaY9m21gXqwRCFdM42IDHrxgKzMevpcq0c\nl6tGDx7MZkTnYeQ6F4bjpqs4l3e5wByWXctGp08aFirTolDvrkzjXhc1Xc90cYcL1KP3u9fvvhku\nPODeY7lpHhaujTEbpLuqPIzQ8iuE2kZQ16dMEc+DfDJnG5CYdWWB2ZjN8IQXFnZttuKFrlIct10P\ndGfkXXHIhd40gWguq0w3XGU6KAIzkKZuN8POZixptBCoFTh1F+QqLoA/+PeuSp1mOx1WdsPkaZCv\nu9aRXTfB2L+681xNC4j1VxtjVunk8WOMfuG9HJo8xog3SCWdRlD8dJxpquSImPMq+BoxbhuQmA1g\ngdmYreJy1ejFQXrFPulDWWU6t1CZjhqAuk1VOj3TYTEL1CW3JXhz0oXu7v7pzjSPqAGNSVelzg+6\ncF2ouuMf/if3ueK5KR/nv+lmVfs5CEsw/Tic+4YL+suF6+6KtQVtY7atTvvF8Owp2hQYTCcZ0Fka\nkmeOCq1ggLGBG2wDErOhLDAbs9UtF6Q7Vl2ZDlxgbc8t9Ex3B2pwIbu8o6tKvdNVo4OSq2JLdox4\nrjUkrQBJVwuID42zF7eAlHa4oI24r0/+E6BuFvXYgzB6wh236yYY/7ZrF+lMAbGgbcy20d1+MYQw\nnE4Q43ZYnZUSIQkNr0IuqVvrhdlwFpiN6XVrWZne/3QYO+G+nq9SZ9uEl0agVXfhtrLLVaGLQ67N\no52NyotbLpj7BeZbQDRrA+nskNgJ16m/sKGLAo980Z1LqwaIawHpVLSDnXDqn917eJ0q9gl33K6n\nWNA2psctLOobIJ/OkaNNSeeYkwLT3k5aXpFKPIEitqDPbAoLzMb0qyupTCet5ad5NKZdG4emrk3j\nwNGFcD2UjcoLixcvTgQYPOCCtCoUBrM51MPus7ysHYQ0awcZdO/fCddp230dNRdVsSdWCNq73PPg\nquUP/5N7D5FsgeM33HE7boTJh1wvuB+6xZOLg3ZjCr78h/DcN1toNmYddFeVd2hK2y/hkwAwIxVy\nxMQSEKRtGv4AM2WrKpvNYYHZmO3qcoEaLp3mMXz44grsalpAWrMujGrqRtvNz6EuLGoHiaG82/VL\nq0JljwvKqHvP9izkq11Bu+je85KgHS28R9xeFLS7Fjievtu9b6d1pBgvtI4Uh1xF+6ZXu3M78UkL\nzMaske5d+qqts4SFg5TTGh4xfjzFhIyQI6IlRQppDRTKWuP00LPY/eI3WlXZbAoLzMaY5a0mVHes\n1ALSHbSXCtcA+7J2EC/ngnbUdBM7NGvrGLrGBW3Ph5HqQtDWZCFog9vQpTN6Lz/gKtrFERe0WyHk\nBrIq+ZRrHZEZN9caFkK3arZbo7iq+PRja/Pnacw2171LXz6aJp/OcWTu66QIKT41KREFZSYq1zM0\nfYLILzK5/wXkbn0tz7agbDbRhgVmEfGBrwJnVPWVG/W5xpgNcrXhenHF+kqDdrsBYWWhd7pT0fbz\nMHLtQtBOWq4vO266CvPQYdcGAm5xop9zI/ya066X2RhzxbpbLwYlpJ7sZVd8lgSPBJ82IbHkaUue\nfDxLzRb1mS1mIyvMPwecAAY38DONMVvREwnX3dYlaGetI43pbLxe6iaE7H+6C8vNKXjGj139NRuz\nTXVXlX2NKaaz7KyPZlVlj2l/hFDbtkuf2dI2JDCLyEHg+4HfBH5hrd//LW95C/fdd99av60xpmfN\nAWcXvm23Ye7v3eJDEfeYnl34OmkvtHv4OQC+68g/8K5feL0Ly9a/bMwVOXn8GHMf/0X2ROOk4lPW\nGooQE9CggHohQdq2XfrMlrdRFeZ3Ab8MDCx3gIjcBtwGcPjw4Q06LWPMVjfXjpmoR7TiBC8LuKnq\nkl+345QkVXxfyPneoud3uK/pel32dTvNXidCTt3raumT+G/x/87LdQ83beQFG9Pjuhf1DTUfZ7fO\nEOPja0JIRJs8094QviZM2i59pkese2AWkVcC51X1HhF54XLHqertwO0AR48e1SfyGe9617uu6hyN\nMVfvxNlpPnN8lDNTDXK+IMBorcVMM6ZaDNhVySNAK9H555f7uvM6D2WqEfOcPRWKOZ+vPDyJAk/a\nU+bbo/WLvm5GCWHgUQh9Gu2YJIVc4HHj7jLfPl9HUa7fVebB83VAuXZHmZMX5mjGMaHnkQs8Gu2E\nFAg84Tv3DzI51+b2ux7mtudfy037qpv2Z2tMr1hovxik3BqjotOUdY6G5KlLlRkZcetq8cFLbZc+\n0zM2osL83cCrReT7gAIwKCL/Q1XfsAGfbYxZxlIB93IBdrngO1prcXqywZOzYHv3yYmLAuzodIMT\nae3SALuzxINjc6gqR3YUOXmhQSuOCTyPfOAzXm9RzgX826NTeB6ICKrwrw9PUim429exkxNU8gEz\nzQgUhis5JuotVIVKIeBLD41Tzrndwo6dnJj/+iuPTFLO+cy2YhQYLuWYaUYoMJAP+drjM7xm9wCe\nCJ85PmqB2ZgVdC/qGwZa/gA70jEiAmalSI6UhlciIaCUzjA2cLO1Xpiesu6BWVXfDrwdIKsw/6KF\nZWPWzpUE307ltjvgLle5bUQxge+RDzzOTNRJFALf45rhIqcmGqim5AKPJFXueWTStT8I1Fox2lRG\nKnnG621QLg2wD0/Of33Po9OUcz71VoKSMFwS2rGSpBGVfMhMK2a4GABCvZ1QCD1AaEQppZwSp6Dq\nWiuSVFBN8UWIEsX3BE+EOFFygYeIMNNUCqFPvZ2Auq89EVSVgUJAM07xgIFCwJmpxmb9570iIvJ+\noPPTvUsasLN78ceBh7OHPqqqv5E993Lg3YAP/Kmq/vaGnLTpOZfMUy4eppTO4hPhpxMk+DSkRMMf\npBJPkHh5yvEks+EwO1/2Vmu9MD3F5jAbs0WsR/BNsyrut8fmaEaucpsLPMZnXeX23ken8LJ1b6m6\nam0pH4DClx6aoBR6F1VgpxoLFdh/PzM9H3ZHa22GiwFJCjOtiOFiQJQoqilxkpJkYdbLAmzgCeIJ\ncUPJhz6ewEwTyvmAuXaKako5F9DIJ7SjlOFySDNOKOcC97o0ZbAQgkCSKkOlnPs8fPZWC0RJCvjs\nHMgjAjsrbgtsBUbK7uvO65pRCig7K3lmmzGglPMBOyo+ge8x3Yg4MFTc0L8La+ADwHuAD65wzD8v\nHvGZjf/8I+ClwGngKyLyCVW9f71O1PSmS+cpNzhS/3dSBMWjToGW5AlEySdzzAY7qFWfQr09bWHZ\n9KQNDcyq+o/AP27kZxqzmS4Xgp9Q8N2xEHx9T8gFHhOzbYo5n68+EmXL1yAFvvzQBMWsAtup4nYH\n3+Uqt51qLQjtOGUg76O4qmvgCSICqlTyPrVWzGAxxBOhGSWUcgG5wKMVpwwW3GcgPnsGC7TjFMRn\nZ2VRgFV3PgBRogwUQuqtBPAYLudQlIl6BAgHh4o0oxRNlGccHpqvhD/9cJVvj9bJ+R5h4FFvJRRD\nnySF2WbMdx4YnD92qa8DTwgDn+lGRCH0SFKoNWNu3j/AdCNiuhHxw888uHF/adaAqt4lIkeu4KXP\nAh5U1ZMAIvJXwGsAC8wGWDRPmYB6oXueskdESCR52lLA14hxW9Rn+oRVmI15gq42BN+4u8y3zs/S\nbMf4nk8YCBOzbUo5n3senVoIvqoXB99TSwTfREla8SXBtxWnVPI+krUhdLcelHI+jZxPO04ZKedo\nxQkDhRARSFQZLueQ7Cx2VXIkKYCyt1qcr8ZWCiHDcUop524hh0ZKxKmSKhwYKtCMUvKBC7Bz7YRS\nLguwrScWYD0RvnP/AOdm2uwfKV7UP33rdZd+3fmzP7SKY1fzut0DIT/8zIP92r/8XBH5GnAG1yr3\nDeAA0L2t4Wng1s04ObO1nDx+jNEvvJdDk8cY9qsU0zpCys65813zlHcQanTRPGVb1Gf6hQVmYxbp\nBOJvPD59yUK3pRa3dSrB3xqt02i7tocgC8HF0OOeR6L5904VvvzQOKX54BszXMrRilPiNF02+HqL\ngq+oUskHNKOEdpyycyBPK06plnKuDxcXdjtzhrtbDzotCRN1115xoFO5BZ5+qDofYJ96cOUKbHfY\nvfW6YerNhG+Nzl4UbK82wFaLATfvq/Irt+zp19C6We4FDqvqbLYg+2+BG5/IG9go0O2j034xPHuK\nhpQYSKYZ0ikakiciT5MC6gUEaWTzlE3fssBstpXVVIdPTzbYO5Dj3EwbBEanG9yfzhBms32jVPm3\nx1wlWHG9sJ1KcHf1d7kQ3E6UQd9VjQUXgkudim/FvW6wmMMXUJRdlTxkIbg7+A6VcqTqWhaSVOcr\nuwo87eDGV26v3VXhZ150vQXbHqCqM11ff1pE3isiO3HV5u59wA9mjy31Hlc8CtT0hu72iyE8qukE\nKW5r+YYUCEgY94bwNbZ5yqbvWWA2fWtxpXjFFonRWRJVF4iTlHsenaOc8ynkAi7MtuYXuo22uhe3\nXVoJVmR+4kInBO/IQnC1lMPPKr47K3niROksNvMkq/h2tTS0gacdrK5L8LXK7fYmInuBUVVVEXkW\n4AHjwBRwo4hciwvKrwN+ZPPO1Gy0xZMvguIRCukcIW0qWqcheWZkhEl/F+V4CsWz1guzLVhgNj3p\nCVeKUc7NNCnn/fnqcKquZ7fTIgHC2Gx7fsJDrRXj+x6pCmhKPvTw25ALfAqBRytOGCzk8D3mWyA6\n/b7dIbi7r3e5VgcLvmYticiHgRcCO0XkNPAOIARQ1fcBrwV+RkRioAG8TlUViEXkTcBncWPl3p/1\nNpttYPHki1za5Ej9Ptz/tRdmpEKOiLaXx09jGv4AM2VrvTDbgwVms+WttlJ8w+4SD5yrk6QpgS9E\nScpjE3WKYUA+9GhGKVGydItE1fcIfI+5dkw+9KkUlHacsnvAjSgTfIZLOQYLIXHqfvrc6f1tJwst\nEE80BFvwNetBVV9/meffgxs7t9RznwY+vR7nZbamlSZfpAgxPpEUaEmRQloDhbLWOD30LHa/+I3W\nemG2BQvMZstYbmvlpXqKy/mA+x6bAlyVuNNH3JkLPD4XzbdONKKYQpgjH3jEacpQyc30HSy66jDA\njmzMWSUfEKeK5pSaQiNaGFFWa8bLLm6zEGyM6SWLWy/80vWE2qKkMxdNvpjxRwg0np98EflFJve/\ngNytr+XZFpTNNmKB2Wy4lYJxp2p87OQEqaaEvpvr+9VH5yjlfHK+RyNKaSftiyrFgtsQoxC6zSYa\nUUIlH5Kk0IoTDgwXmai3mahHiCzM9G2z0CKxeNrD3mqBFLlkoZstbjPG9LKLWy9m8NOIa2b/DSFF\nESLC+ckXfhrb5AtjsMBs1tnicDxVb3P8bI3hUsi+an5+U47QE1pJylcfmUQV0tTduDuL7OJEqbdi\nwlKOXFYprnZVikNPEHFTJACKoU+cKsXQI06V6Ua86j5hC8TGmH518vgx5j7+i+yKJmn5JXYko8QE\ngJIiROSZ8yo2+cKYRSwwmzXX3XO8eGbxhXqLoWLIbDPmi2M1CmGALzJfKe6ePuF7bpFdPvQZyHqK\n9w8VmZpzlWJvUaV4ubnAnUqxtUgYY7ajxe0XI+ksESHDyRglbTAnBaZlByLKWPVptumIMUuwwGyu\n2EqtFU/aU2Gi3qYVJ9z76BRp1mfcilIuJC2GSjniBBrqNu7wxQXjYujTTtJsC2WhWgzne4pTdX3E\nVik2xpjV6W6/KLYnKaazVHWGhuRpU2RSqhRoAdD0KtZ6YcwyLDCbVblca8UDo7PEieJ70I5T/uWh\ncaJEKeW8i6rGuUCIU2WgEBIlKa04ZUcl7wJ0trXy/mqBeiuxSrExxlyhizcdEZrBEDuTs8QENKRA\nqDET/iCR5NBkDBG11gtjVmCB2Szrcq0V1ULAdCPiwfM18oFP6HvzwdgTIdWUwPcYLPouGJfzlPMB\nE/WIfOBRLQSM1aPLTp+wSrExxlze4taLsHCIYjpLQMxIe3y+R3nK300pmSLyi5TjSabDvZRe83vW\nemHMCiwwm4ssFZKnG23iJOW+x6ZI0oXWivGkzVDJbdbRjhOqxZBGlDBQCLNg3KIQur9iB4YKzLVd\n1fiZR4Y4O92ilcBzrx1huJyzYGyMMVehu/WiEE1RSOscmfsaKYLiMUeJFnl8D8K0yWywg1r1KdTb\n0+x82VutomzMZVhg3saW2xDkSXsqjNVaNNox/3pqgmaUUgwXt1Z4JGk632PcjlIGiy4ox6ky107Y\nPVBg72BhyarxC/dWebm1VBhjzFW5uPXCoxGOsCs+S4xPgk+bgFjytKWArxHjNvnCmCtigXmbWVxB\ndhuCtEhUGZ1pkgt8Lsy2iLP+4zSFKEkphv58a8VIOUc5nzJRjwh9j8G8z1icXtJaUS2FVjU2xph1\ncPL4MUa/8F4OTR5jh1dhIHUbOY20LmS784XM+kPktDW/6YhNvjDmyllg3gaWarOYnHMTLL766BSF\n0CcfeLRjJUljKvmQSFPyoU85H1BoeBRzC60VjXZqrRXGGLPBFvco79WYFI9qOklF6zQkT4MyLQp4\nHoRpyzYdMWaNWGDuU4tDcqfNot6KOPbwBK0opZTziBOloTGlXJ5SzidKlIMjRcZnW+QDnzhR9gxa\na4UxxmymxePhCmmdEZ2iJiUScsxIhRwRc96AtV4Ysw4sMPeB5XqRr99V5ux0k5lGmy8/ND7fZoFC\nkqYEfkClEBAlKfuqBSYCtyFIvXVx/7G1VhhjzObo7lEeRpgLhtmZnCPGJ8YnR8zZYD8pPpV4HEWs\n9cKYdWCBuUct3YvcJlXl3EyDnO8zVmuRpC4k+yLzbRYDhZCZuTaFXIAH1FpcsnW0hWRjjNkci1sv\ncvmDlNJZfCKGs/FwMTlGpcJOLiCaEGhMwx9gpmytF8asBwvMPWSpXuSZRpskTbn3sWkKoUfod/Ui\nF0KSVCnnAgaKIRN112bRjlN2d7VZ2IYgxhiz+boX8g37VcK0RVHrVBtf7xoPl6dNHs8DVDive0Ch\nrDVODz2L3S9+o7VeGLMOLDBvcSuG5EenmGsn5AOhHackacpwOU8x9IlT5dBwkQuzLXzfu2TMm1WQ\njTFm6+j0KA/PnqIpRQaSaUZ0IutR9mkTZuPh8hf1KNeL+2ju+A5yt76WZ1tQNmbdWGDeok6cneYv\n/uURvvjgOMOlkCRNSVLl3x6dop6F5CSFVpyQ8wNKOReS91cLTIauF3nWepGNMWZL6+5R3qHKN4gh\neAAAIABJREFUoE4SEwBCjE9AwrlgP/m0aePhjNlEFpi3kMXVZFVlsOBTb8ecnmxQyfn4njcfkqvF\ngNAXKvmQZhRTayVu0Z/1IhuzrYnI+4FXAudV9ZYlnv9R4FcAAWrAz6jqv2fPncoeS4BYVY9u1Hlv\nF909ykPNxymGuxlIp4GUkjaYkwIz3gizaYVdjJFLmjYezphNZoF5ky23FXUrTjg33aSS98kFPr5A\nI0rZP5SbD8kI7B/KWS+yMWaxDwDvAT64zPMPAy9Q1UkReQVwO3Br1/MvUtUL63uK28vihXxB6ToG\nWueo6DSD7SlShISACRmiSJNIcoinTKQjiKiNhzNmk1lg3kQnzk5z+10PUy2GzDTaxEnKPY9MUm8n\nFEMPT2CunTBYzLGvWuB8rY3veReFZKsgG2MWU9W7ROTICs9/uevbY8DB9T6n7ax7hnIhmiKfNjgy\ney8BMU3yJAhN8qgERJIjTb2FhXwjbiGftV4Ys7ksMG+CTlX5zvvPEYqwd6jAoxMNPIEk24q6nPPZ\nPZBnvB5RyQeoKnsGBRQLycaYtfRTwP/q+l6Bz4tIAvyJqt6+OafV+7r7k4fwaIQj7IrPEuOTIoDS\nkAoNv0IhnZvvUY78IpP7X2AL+YzZQiwwb5DFrRcHhwvUGhFRknJmuoknIJ4wVArJBx6lvPtPc2jY\n/T7ViPmeG3bwhudcYyHZGLMmRORFuMD8vK6Hn6eqZ0RkN/A5Efmmqt61xGtvA24DOHz48Iacb6/o\nHg+30ysxkE4BykjrwnzrxYxfpZDUQIR8Mmc9ysZscRaY11n3tIuhYsBsK6beihmrtfDchkyU8z55\n38P3PBDYW714K+qb99n208aYtSUiTwX+FHiFqo53HlfVM9nv50XkY8CzgEsCc1Z5vh3g6NGjuiEn\nvYUt7lHen7YQUgbTKSpapyF5GlRokcPzBD+NmA12MJffbVtYG9MD1j0wi8gh3MKTPbgf9d2uqu9e\n78/dTIuryXGS4ntwvtZici5iIO+TCzzyvkcY+pQCj1aS8qTdFetLNsasOxE5DHwU+DFV/VbX42XA\nU9Va9vXLgN/YpNPc8pZeyDdKJZ1mUGepSYmYPFMySIE2c17lohnK7dygjYczpkdsRIU5Bt6qqveK\nyABwj4h8TlXv34DP3jCLQ/KT9lQYq7WYabQZr7uQnA998oGHIhwcLjHbinn6oSG+8fgMnngWko0x\na0JEPgy8ENgpIqeBdwAhgKq+D/hPwA7gvSICC+Pj9gAfyx4LgL9U1c9s+AX0gMst5GsT4JNyIdyF\nqlCJx1HEZigb06PWPTCr6lngbPZ1TUROAAeAvgnM3dMuOiPh7n54glaUUsp5BB5EiXJoR4GhYsJj\nUw1qzZjBQkAu8LluV4Xbnn+tBWVjzJpQ1ddf5vmfBn56icdPAk9br/PqB90L+YaBuSUX8pWpMchu\nzuOlEaJKwx9gpmz9ycb0qg3tYc7GHD0duHsjP3e9XDTtwhP2Vt20C9/dM0lVKYYB1WLImekmaar4\nnrBnID8/7aJaDPnhZx60sGyMMVvU4taLQm4P5bSGR8xwa2KJhXweHnBe9yyMhxty4+GsP9mY3rRh\ngVlEKsBHgLeo6swSz/fEiuvFrRfX7ypTb8W0o4QzU27ahR947BwIqTdjwsBDgUNDRcCmXRhjTK/o\nnnYx4g2ST+sUaVBtTpIipHjUKRCRw/O4ZCFfvbiP5o7vsPFwxvSBDQnMIhLiwvKHVPWjSx3TCyuu\nu1svJufa1FsRdz88geCmXZRyPoXQTbtIUtg9aNMujDGmlyyuJu/TmASfajpBVWeoSYmIkBY5UgmJ\nJGcL+YzZBjZiSoYAfwacUNXfX+/PWy8nzk7zjk/cz1itSc73OF9rUQw9fBFCX8iHPpWcb9MujDGm\nxywOyX7pesqtC5TSWYZ0mpqUSAhpS4iHMhbsuWijEVvIZ0z/24gK83cDPwZ8XUTuyx77VVX99AZ8\n9lXpbr94bGKOiXqb0BfmWgnNKCEfCPuGirTi1KZdGGNMD7lkJFz5evLRNGHa4sjsvYRENMkT4xMS\nMxHso5a02a2jttGIMdvQRkzJ+CIg6/05a63TflHJ+5yemGO83qbeiimGPsPlHOWcx3QzoRmlNu3C\nGGN6SPdIuHxUQ9KEA7WvUaBJixwKCCktiszKALsYA01R8ZnQEUTUNhoxZpuxnf4W6VSVP/uNc8RJ\nSiUfcKHeJucLfjGgHSuVfEDOF9pJ06ZdGGNMj+geCVcloFbcz474HIrikeJrTCpFat4w+bRO6gWI\nysXTLkbctAtrvTBme7HAzKWTL/YO5pmot0GVybmIQugxWAwZyAecrzXJhz4Ts232D5f4z6++2UKy\nMcZsYd3TLnZ4FSrpNAA76ufnp13MyQBtckReEU8Tm3ZhjLnItg/M3ZMvxmotpuotxmotPIFc4DFS\nCAg8IU5hphmze6DAzfsGmW5E1n5hjDFb1OIe5f1pC4BqOklFZ2lInjYF2oSkErrQHOyaD8k27cIY\n023bBubuTUd8gWoxx5mpBjlfyHtCMfQIfZ+8L9nki4H5yRfWfmGMMVvP4pAcFq9hsHmOik4zqLPZ\ntIscM1KhQETNG8LXiMmSjYQzxqxs2wXmE2en+Yt/eYQvPjjOUDFgst4mVeXsdIvAE4phwEglx2wr\ntskXxhizxS01Eq7UGqeQznKkfh8+CU3ytAkISBkPdpHiUYnHUcRGwhljVmVbBeZO+8XJsVkKgceF\n2TbTjYhi6DNYDCmFPilQa8Y2+cIYY7aopUbCFaIpcmnzopFwCT4eCXMyQI1BdnMe0ZhAlYY/wEzZ\nRsIZY1ZnWwTm7vYLT2B0pkXOF0SEgXxAlCrVQmCtF8YYs4V1L94b9quIJvhpxMHav5OnSYt810i4\nAg1/kFIyhQh4cPG0iyE37cJGwhljVqPvA3OnqjyQD6i3YprthHorhnzA3sE8pZzP+VoTRKz1whhj\ntpjF1eTdqsx5FQrpHLvT88xKEcXD14REAmreQDYSLiRMmzbtwhizJvo2MHdXlVWhlPNJUkUEhosh\nrUTxPaEZJVSLOWu9MMaYLWLpXfhm8NM2u3ScuhRICEnwKGiLMW/vsiPhbCGfMWYt9GVg7lSVyzmf\nWiOiHaeMKewZzNNOUsqhz3QjAmCqEfM9N+zgDc+5xsKyMcZssqV24dtf+zoFmm4EHEJRm4x7AzQo\nMMIkijBjI+GMMeuorwJzd1U5TaGY81DAExgshlTyATfsrvCNx2co5UNe+OTdvPyWPRaUjTFmky3e\nhW+2sJcd8Vl3Dycl0IiW5BiXYYaZpumVEFUmUpnfqtpCsjFmvfRNYO6uKk83IuI45cIsHBgq0IhS\nSqHHTDOyyRfGmL4nIu8HXgmcV9VblnhegHcD3wfMAT+hqvdmz708e84H/lRVf3u9znNx60U+t5dS\nOotHzI65zi58PnNSoU1I5JVIVRjVom1VbYzZUD0fmC+pKoceAnieMFQIKeZ8bjlQnZ+nbJMvjDHb\nwAeA9wAfXOb5VwA3Zr9uBf4YuFVEfOCPgJcCp4GviMgnVPX+tTy5i7eqLlNIGxRoUG1OkiIoQivb\nhU/Fz3bhq9riPWPMpunpwNypKldyPjONiChOuaBZVTlOKQYe0w2rKhtjthdVvUtEjqxwyGuAD6qq\nAsdEZEhE9gFHgAdV9SSAiPxVduyaBeaTx48x/tnfYc/stxBSqunk/C58ESFtAlIJaUvBduEzxmwZ\nPR2YP3N8lGox5MzkHOCqylWrKhtjzOUcAB7r+v509thSj9+6lh88evcd5NKIQZ0hIiAhpCk5BGUi\n2EMhnWOs+lSGpk/YLnzGmC2jpwPzmakG+6oFDu8oUWvGjNfblEKrKhtjzHoTkduA2wAOHz686tf5\ntdO0Bg4xO/cQKT7NYIDZuMJuHSWfzNH0y+DnmKnYLnzGmK3D2+wTuBoHhorUmjGVfMit143wzCPD\n8xuQVIuhhWVjjFnaGeBQ1/cHs8eWe/wSqnq7qh5V1aO7du1a9QcnAwfx4jbnho6CeHhphIrPBCPz\n0y60OMTOl73VduEzxmwZPV1hfvkte7j9rocBGCgEVlU2xpjV+QTwpqxH+VZgWlXPisgYcKOIXIsL\nyq8DfmQtP3jPra/lwp3vJM1VGR28heGZb9m0C2PMltfTgfmmfVVue/61fOb4KGemGhwYKlqvsjFm\n2xORDwMvBHaKyGngHUAIoKrvAz6NGyn3IG6s3E9mz8Ui8ibgs7ixcu9X1W+s5bm5qvFbGb37Dvza\nLJMHXmDTLowxW15PB2ZwodkCsjHGLFDV11/meQXeuMxzn8YF6nVz3S3PtnYLY0xP6ekeZmOMMcYY\nY9abBWZjjDHGGGNWYIHZGGOMMcaYFYhrZdtaspXajzzBl+0ELqzD6WwVdn29za6vtz2R67tGVVc/\nZ60PXOE9G+zvTS/r52sDu75et+b37C0ZmK+EiHxVVY9u9nmsF7u+3mbX19v6/fo2S7//ufbz9fXz\ntYFdX69bj+uzlgxjjDHGGGNWYIHZGGOMMcaYFfRTYL59s09gndn19Ta7vt7W79e3Wfr9z7Wfr6+f\nrw3s+nrdml9f3/QwG2OMMcYYsx76qcJsjDHGGGPMmuuLwCwiLxeRB0TkQRF522afz9USkUMi8g8i\ncr+IfENEfi57fEREPici385+H97sc71SIuKLyL+JyKey7/vp2oZE5A4R+aaInBCR5/TZ9f189vfy\nuIh8WEQKvXx9IvJ+ETkvIse7Hlv2ekTk7dm95gER+d8256x7m92ze5Pdt3vz+vrtng2bc9/u+cAs\nIj7wR8ArgJuB14vIzZt7VlctBt6qqjcDzwbemF3T24AvqOqNwBey73vVzwEnur7vp2t7N/AZVX0K\n8DTcdfbF9YnIAeBngaOqegvgA6+jt6/vA8DLFz225PVk/zt8HfAd2Wvem92DzCrZPbun2X27x/Tp\nPRs2476tqj39C3gO8Nmu798OvH2zz2uNr/HjwEuBB4B92WP7gAc2+9yu8HoOZn+ZXwx8KnusX66t\nCjxMtj6g6/F+ub4DwGPACBAAnwJe1uvXBxwBjl/uv9fi+wvwWeA5m33+vfTL7tmbf35XeE123+7B\n6+vXe3Z23ht63+75CjMLfxk6TmeP9QUROQI8Hbgb2KOqZ7OnzgF7Num0rta7gF8G0q7H+uXargXG\ngD/PfnT5pyJSpk+uT1XPAL8HPAqcBaZV9U765Pq6LHc9fX2/2SB9/WfYp/dssPt2T17fNrpnwzrf\nt/shMPctEakAHwHeoqoz3c+p+79JPTfiREReCZxX1XuWO6ZXry0TAM8A/lhVnw7UWfSjrl6+vqwn\n7DW4f2D2A2UReUP3Mb18fUvpt+sx66cf79lg923o3evbjvdsWJ9r6ofAfAY41PX9weyxniYiIe7G\n+yFV/Wj28KiI7Mue3wec36zzuwrfDbxaRE4BfwW8WET+B/1xbeD+n+tpVb07+/4O3I24X67ve4GH\nVXVMVSPgo8Bz6Z/r61juevryfrPB+vLPsI/v2WD37V6+vu1yz4Z1vm/3Q2D+CnCjiFwrIjlcY/cn\nNvmcroqICPBnwAlV/f2upz4B/Hj29Y/j+uR6iqq+XVUPquoR3H+rv1fVN9AH1wagqueAx0TkydlD\nLwHup0+uD/djvWeLSCn7e/oS3OKYfrm+juWu5xPA60QkLyLXAjcC/7oJ59fL7J7dY+y+DfTu9W2X\nezas9317s5u21+IX8H3At4CHgF/b7PNZg+t5Hu5HCV8D7st+fR+wA7fo4tvA54GRzT7Xq7zOF7Kw\neKRvrg34LuCr2X+/vwWG++z6/jPwTeA48BdAvpevD/gwrrcvwlWafmql6wF+LbvXPAC8YrPPvxd/\n2T27d3/ZfXvzz/UKrq2v7tnZNW34fdt2+jPGGGOMMWYF/dCSYYwxxhhjzLqxwGyMMcYYY8wKLDAb\nY4wxxhizAgvMxhhjjDHGrMACszHGGGOMMSuwwGyMMcYYY8wKLDAbY4wxxhizAgvMZksTkX8UkZ/e\n7PMwxhhzZUTkR0Xkzqt4/ab/OyAiv55tB262KQvMZkOIyCkR+d7NPo/FRERFpC4is9mvqc0+J2OM\n2Qwi8iMi8tXsXnhWRP6XiDzvat9XVT+kqi/r+hwVkRuu9n2z9xoSkfeLyDkRqYnIt0TkbevxWWZ7\ns8BstgURCVZ4+mmqWsl+Da3xextjzJYnIr8AvAv4LWAPcBj4I+DVm3leq/DfgApwE1DFne+Dm3pG\npi9ZYDabSkSGReRTIjImIpPZ1wcXHXa9iPyriMyIyMdFZKTr9a8WkW+IyFT2Y7ubup47JSK/IiJf\nA+pPNNiKyP8pIg+KyISIfEJE9nc9pyLyRhH5Nm7fekTkO0Tkc9nxoyLyq9njnoi8TUQeEpFxEfmb\n7mswxpjNJCJV4DeAN6rqR1W1rqqRqn5KVX85O+ZZIvIv2b32rIi8R0RyXe+hIvKzInJSRC6IyO+K\niJc99xMi8sXs67uyl/x7Vsn+4VX+O7CcZwJ/qaqTqpqq6jdV9Y7lPit7fKV7+5L38UV/XqGIfFhE\nPtL9Z2D6mwVms9k84M+Ba3AVjQbwnkXH/B/AfwD2ATHwBwAi8iTgw8BbgF3Ap4FPLrqBvR74fmBI\nVePVnpSIvBj4r8APZZ/7CPBXiw77AeBW4GYRGQA+D3wG2A/cAHwhO+7N2bEvyJ6bxFVujDFmK3gO\nUAA+tsIxCfDzwM7s+JcA//eiY34QOAo8A3gN7r59EVV9fvZl5yd7f83q/h1YzjHgN0XkJ0Xkxst9\n1kr39svcx8mOKQJ/C7SAH1LV9irP0/Q4C8xmU6nquKp+RFXnVLUG/CYuWHb7C1U9rqp14D8CPyQi\nPvDDwN+p6udUNQJ+DygCz+167R+o6mOq2ljhNO7NqiZTIvIH2WM/CrxfVe9V1RbwduA5InKk63X/\nVVUnsvd+JXBOVd+pqk1Vranq3dlx/xfwa6p6OnuvXwdea60cxpgtYgdwYaWigqreo6rHVDVW1VPA\nn3Dpvfr/ze6Jj+LaO16/mg9f5b8Dy3kz8CHgTcD9WeX4FSscv9K9faX7OMAgLkw/BPykqiarPEfT\nB+wfbLOpRKSE60F7OTCcPTwgIn7Xzeixrpc8AoS4Ksf+7HsAVDUVkceAA13Hd792Oc9Q1cU9b/uB\ne7vee1ZExrP3PrXEex/C3USXcg3wMRFJux5LcH2CZ1ZxfsYYs57GgZ0iEiwXmrOf6P0+roJcwuWH\nexYdtvhevZ9VWOW/A0vKCha/BfyWiAwCbwP+p4gcVtWJJV6y0r19pfs4wLNx//68XlV1Nddm+odV\nmM1meyvwZOBWVR0EOj9Ck65jDnV9fRiIgAvA47gw6l4gItmx3SH0Sm9qi9+7jKvCLPfejwHXLfNe\njwGvUNWhrl8FVbWwbIzZCv4F12LwAysc88fAN4Ebs3v1r3LxfRouvVc/vsrPX82/A5elqjO48FwG\nrl3msJXu7SvdxwHuxLVzfEFE9jyRczO9zwKz2UihiBS6fgXAAK5fbSpbCPeOJV73BhG5OatC/AZw\nR1Z1+Bvg+0XkJSIS4m66LeDLa3CuHwZ+UkS+S0TyuJvw3dmPIpfyKWCfiLxFRPIiMiAit2bPvQ/X\nY3cNgIjsEpHXrME5GmPMVVPVaeA/AX8kIj8gIqVsYdsrROR3ssMGgBlgVkSeAvzMEm/1S9kCvkPA\nzwF/vcxHjnJxMF3NvwNLEpH/KCLPFJGciBSyz50CHljms1a6t690HwdAVX8H+EtcaN652vM0vc8C\ns9lIn8bdFDu/fh3X51bEVYyP4frDFvsL4APAOdzClJ8FUNUHgDcAf5i9/lXAq9ZiEYaqfh7XL/0R\n4CxwPfC6FY6vAS/NzuEcbnLGi7Kn3w18ArhTRGq467x1qfcxxpjNoKrvBH4B+H+AMVy19U24BW4A\nvwj8CFAD/j+WDsMfx7Vp3Af8HfBny3zcrwP/PVs38kOs7t+BZU8dt2Cw81PHlwLfr6qzS33WSvf2\ny9zHFz5Q9b/g/lw+bxOPtg+xNhxjjDHGXA0RUVy7hs1ANn3JKszGGGOMMcaswAKzMcYYY4wxK7CW\nDGOMMcYYY1Zw2TnM2WrXD+Jmxipwu6q+e9Exv4QbBt55z5uAXao6ISKncIsEEiBW1aNrd/rGGGOM\nMcasr8tWmEVkH7BPVe/Nto28B/gBVb1/meNfBfy8qr44+/4UcFRVL6zpmRtjjDHGGLMBLlthVtWz\nuNErqGpNRE7gdsRZMjDjtsL88NWc1M6dO/XIkSNX8xbGGLMp7rnnnguqumuzz2Mj2T3bGNOrVnvP\nfkJbY2d7rT8duHuZ50u4rS3f1PWw4mYVJsCfqOrtl/ucI0eO8NWvfvWJnJoxxmwJIvLI5Y/qL3bP\nNsb0qtXes1cdmEWkghv0/ZZs+8mlvAr40qL925+nqmdEZDfwORH5pqretcT73wbcBnD48OHVnpYx\nxhhjjDHralVj5bJthz8CfEhVP7rCoa9jUTuGqp7Jfj8PfAx41lIvVNXbVfWoqh7dtWtb/TTTGGOM\nMcZsYZcNzCIiuO0tT6jq769wXBV4AW5rzM5j5WyhICJSBl4GHL/akzbGGGOMMWajrKYl47uBHwO+\nLiL3ZY/9KnAYQFXflz32g8Cdqlrveu0e4GMucxMAf6mqT2SPeGOM2VAnjx9j9O478GunSQYOsufW\n13LdLc/e7NMyxhizlHPH4cQnYfoxqB6Cm14Fe29Z849ZzZSMLwKyiuM+AHxg0WMngadd4bkZY8yG\nOnn8GBfufCeSqxKX9+E1prhw5zuBt1poNsaYrebccfjyH0JhCAYPQGPKff/cN695aLatsY0xJjN6\n9x2kuSqSNMnNnEILVdJcldG779jsUzPGGLPYiU+6sOz5cP4E5Cvu+xOfXPOPekJj5Ywxph912jAO\nnv4kTUqoCJFfIi6MkOYHCWqnN/sUjTHGdDt3HL75d5BEEDegOOwCc/WQa89YY1ZhNsZsa/NtGI0p\nmlJkSC8wkl6gFQyghWG8Vo1k4OBmn6YxxpiOTiuG50GrBnEb6hfAL0BzxoXmNWaB2RizrS20YTRQ\n9RCEOYrkoxmkMYXXnmbPra/d7NM0xhjTceKTkKuAX4S0DX4Oyrvg3NegOeUW/q0xa8kwxmxbJ48f\nY9fjnyefNAiIqXlVHincQiGaZjC5wExxiJ0v/Glb8GeMMVtBZyLG1/4aECgMwsj1IOIqzci6LPgD\nC8zGmG2q04qxK43I0QKgmNaZLO6kVt7PTHGI5/zU723yWa4vERkC/hS4BVDgPwAPAH8NHAFOAT+k\nqpObdIrGGON02jDyAyA+NKchmoMbvheqB92EjOLQuoRlsJYMY8w2NXr3Hfhxg4g8Pil1GWDOG6A6\nfWI7tWG8G/iMqj4FNwL0BPA24AuqeiPwhex7Y4zZXCc+CflBqJ2DXNn1LxeHYeKkC8vr1IrRYRVm\nY8y2cvL4MUaP/U+uO/1REoRZb5hThadSjKcoJDVUhZ0v6/+5y9nurM8HfgJAVdtAW0ReA7wwO+y/\nA/8I/MrGn6ExxtDVhvE3bnxcruyC8u6bYfoRF6CLz4dn/Ni6VZfBArMxZhvptGEUolkSPEIiCmmd\nyeIIM+WnUGtMocUhntPnYTlzLTAG/LmIPA24B/g5YI+qns2OOYfbsdUYYzbe/MYkVfBDmJtwrRi7\nngLD17jHjzwfXvT2dT8VC8zGmL7XmbO868zn2Zu2aHpFZr0hCjpHmzyVmYeoeTm89jQ7X/jTm326\nGyUAngG8WVXvFpF3s6j9QlVVRHSpF4vIbcBtAIcPH17vczXGbEcnPulC8dw4BAW3uK84DFOPug1K\nmlOusrwBLDAbY/rawnbXgxTTWQIiSmmdU5VnMBEOMlB7aLtOxDgNnFbVu7Pv78AF5lER2aeqZ0Vk\nH3B+qRer6u3A7QBHjx5dMlQbY8wV6bRhfP1vwMtDmHcTMXbeCLXHN6wNo5sFZmNMXxu9+w4kN0DY\nGENQwGPaq1JsXWBm+AZqfm5bTMRYTFXPichjIvJkVX0AeAlwf/brx4Hfzn7/+CaepjFmu7moDSPv\nNiQRgSPfAztugNLODWvD6GaB2fz/7N17kN13eef59/O7nXuf061utWRdLBsbYseYGMQtkAmEgiJZ\nGGq3Ugy5UJkptlyVSqaSLGxg8sewm6qtYitT2U0tySauhAqZzSSwBIJJiIlhwzgksUPwGCNbJBhZ\ntiRL3VJfTp/T5/a7PPvH9xz1r9ute0t9e15VKp1rn19bLvvR08/38xizI+XXXafqMfBKtLxxCtol\nIaCQtC4uJtlFYxhr/Xvgj0UkAk4A/w6XnvRZEfkQ8ALw/k28PmPMbjMaw+gtuoUkIu5+66xbTnIL\nxzDyrGA2xuw4F8cwwiqZelRoU8k6PF97PVlQptE8Dp6gu28MYxVVfQo4us5T77jV12KM2eXyYxh+\nAYKCy1yeeAUsn9uUMYw8K5iNMTvOzBOfQ8IKxc5Z+lKirB1a1Kh0z9Jq3MNS9QiT7/rwbknDMMaY\nrW3dMQzcGMbkK6G6d1PGMPKsYDbG7BijMYxDpx9GVeh6FXpRg+cLd1HpnNmth/uMMWZrG41hdBfW\njGGcg8reTRvDyLOC2RizI1wcwwhKqEKRDoWsz8niK0nHDtKKxnbl4T5jjNnSzh2D7/6ly1dG3aG+\n29+6JcYw8q64GltEDonI34jIsyLyjIj80jqveZuINEXkqeGv/5h77t0i8s8i8pyI2IpVY8yGO3Hs\ncTpf/Aj7lo5xcP5xEgIyAtoyRmX51MXDfbtk3bUxxmwPo1GMuAPpALIUBm0oNWD6fnj1+90YxiYX\ny3B1HeYE+LCqPikiNeBbIvKoqj675nV/q6rvyT8gIj7w28A7cZmf3xSRh9d5rzHGXJdRZ3lfcgGf\nhICEkJhTpXspxYs2hmGMMVvN6IDfd//CFcsSgGauu+xHcPbbLnN5k8cw8q5YMA9XpJ5ruBikAAAg\nAElEQVQd3m6JyHHgAC6r80reADynqicARORPgfdd5XuNMeaKZp74HD4evqYEJPSkTF/KlJKmO+Bn\nYxjGGLN1jLrKhTE3hpHEQAb7XgNJZziaIfDD//6qOsvHzzZ55NgMZxa7HGiUePd909yzv77hl31N\nM8wicgR4AHhinad/WESeBs4AH1HVZ3CF9anca04Db7yuKzXGmJzRAb/bT30BgD4FPDJ6UiaRkHK8\nwPLuzlg2xpit5/iXXFxc66y773lQnnLF8pEfge6iG8m4ymL5oceeZ6wYUC34NLsxDz32PA/+qzs2\nvGi+6oJZRKrAnwG/rKpLa55+Ejisqm0R+Qngz4G7r+VCRORB4EGAw4cPX8tbjTG7zGgMI9AUgJAB\nIJwp3UMpWaSSLNAOx5l814dtDMMYY7aC0RjG058B8VzRXNnrZpb9ELpNVyxfQyLGI8dmqJcCLrQH\nXGj1uXOqQr0U8sixmc0pmEUkxBXLf6yqn1/7fL6AVtUvi8jviMgkrtt8KPfSg8PHXkZVHwIeAjh6\n9Khe9XdgjNk1Rl3lqTNfZSqLib0CbalT1jY9KVGKF2g17nGdZSuWjTFmaxiNYUQVQKC35ArlV7wD\ngqKbWRZxneWrTMQ4frbJo8/OsNyPiTNlshJRjgJKkc+Zxe6GfwtXLJhFRIA/AI6r6m9e4jX7gBlV\nVRF5Ay59Yw5YBO4WkTtwhfIHgJ/eqIs3xuweF2PjojGKWYeQPn7W4sXSfcwXJ6m1vm8H/IwxZis6\n/iUIS7D4gussxx0ojcPCSdh3vzvgd5Uzy7AyipFlGd04RRBa/YRunJBkyoFGacO/havpML8F+CDw\nHRF5avjYrwGHAVT1d4GfBH5eRBKgC3xAVRVIROQXga8APvCp4WyzMcZck5knPodENcLeHB4p4LEk\nVQrJEv3qvbT8yA74GWPMVjIaw/j2n4AC5XGoTbsieeH7152z/MixGaJAiEKPNINGKaBS8Dl2Zok7\np6r8m9cf3PBv5WpSMr6BW1B4udd8EvjkJZ77MvDl67o6Y8yuNxrDOHj6S6TqMfBKtLxxitohlgKF\npHUxZ9kO+BljzBYxGsMQ3xXLcQfasUvDGNvvxjOuc931ybll5tp9SmHAPfurDFKl1U1A9KYc+APb\n9GeM2cJGYxheWEZVqNCmknU4WXs9C0GZRvM4eILaGIYxxmwNFzOW/xI0Bb/oZpM1deuu577nxjOu\nY9318bNN/vLpczxxYo5MlTsmqzxweAJPhGY3pl4Kb0qxDFYwG2O2oPzhvgYeiVegJ2WK2qNNlXL3\nrMtYrh5h8l0f5s1WKBtjzOYbdZWLDYiXod8BUtdVvu21MPfP1z2GMZpbnmv32VOJOLfUZ7bV40K7\nRyEIaHbjmzKKMWIFszFmS1k53FfH14SqLhNkKbPBQZ4vv5lq50U73GeMMVvNuWPwV78KyxfAC2Cw\n7DKWo3FIum52OShc9xjGI8fO0erG9JOMRjninv1jfG+2zbdPLfHOe6f5N68/eNO6y2AFszFmi3GH\n++ogEGkfQelTBIGsfoBWVLHDfcYYs5WMOsvL50EVOvOQ9CGqQqF6XRnLI6NNfp/55ilEYKpa4HVH\nJhgrhuxvlDjb7PEr73zlTfrGVljBbIzZMk4ce5ypl75KlPYISOgT4ZHR9mpEybId7jPGmK3o+Jdc\ncZxlbhQjCKGyxx34Q645Y/nilx2OYagqngiDJKPVSxgkKRDS6iU3JUJuPVYwG2O2hNEoxt4spkAP\ngGi4va/an7HDfcYYs9XkY+MQ8CPQDIrjEJahOw+3PXBNGct5jxybIfDg9EKPiUpEq5dQCH2+N9Mm\n9P2bPrecZwWzMWZT5Q/47cv6pAg+GS1qDLwS1cGMHe4zxpit5mJsnDeMjVsGvw+3vQ76TTfLXJm8\nrmJ5NIbx+SdPo6o0yhF3TlWoFnyem11mptXnzaXwps8t51nBbIzZNBcP+IVVylkLnwQf5Ux4JwEJ\nxbSFqtiaa2OM2SrysXFp7CLi8rFxvUW3mKS3eN3F8kOPPU858gHoxRnzywPuP1hnqlYkCgLeXApv\nydxynhXMxphNM/PE5/CCMsXOSwAoPoveGAEJS/veRKu7iJYa1lm+SUTkJNACUiBR1aMiMgF8BjgC\nnATer6oLm3WNxpgtZNRVLtShvwRxH7pzsP8BOPBauHD9sXEjjxyboVrwOb3QpV4KidOMsVLIc7Nt\nouDWjmHkWcFsjLnlRmMYh09/0R2o9mos+pOUsmVSAtved2u9XVUv5O5/DPiaqn5CRD42vP/Rzbk0\nY8yWkO8q+4E74KeZi40rjrtxjOo0+NcfGzcaw/jz/3YGT5RKIWRPNeIH94/x/NzmjGHkWcFsjLml\nRmMYPh6oUqBPmCWcrL+JJS+07X2b733A24a3Pw18HSuYjdm98stIsthFxmWnoTwFWeJGMm4gNg5W\nxjDGigGBLzQ7CcuDlHv219jXKFEqbM4YRp4VzMaYWyJ/uG9SUxKJWJYxPG3SkSrV5Rdte9+tp8BX\nRSQFfk9VHwKmVfXs8PlzwPSmXZ0xZvMd/5IrljWBQRfIIChBsQZ7fxDOfvu6Y+NGHjk2Q70UMNce\nUAp9muLWXL8w16FSCDdtDCPPCmZjzE23sr1vjELWIaKPr8rp4iuZL95Lrf28be/bHG9V1TMishd4\nVES+m39SVVVEdL03isiDwIMAhw8fvvlXaoy5tUZjGE9/FoIiBJErirvzLmO5v+xi5Cbvvu7YOHDd\n5UefnaHVG5AqTFYi3vKKPZxt9jZ9DCPPCmZjzE2T7yrXCegHNXxSQGhJjTDt0a3toxUUbXvfJlDV\nM8PfZ0XkC8AbgBkR2a+qZ0VkPzB7ifc+BDwEcPTo0XWLamPMNjUaw4iq4Plug58AB9/gDvedffqG\nu8qwMooxSFP6SYYgtPsp1WLAvZX6po9h5FnBbIy5KVa6ynU8zSjpInsGsyxRwxdlIEU73LeJRKQC\neKraGt5+F/DrwMPAzwGfGP7+xc27SmPMLXfuGPzVr0Lr7PBgX+Sylkt16C5A/dANd5VHHjk2Q5Jl\nFAOfhSxmshpSCDyOnVnizqnqpo9h5FnBbIy5KWae+BwS1cEPCdWtuk4IGARVFmuvssN9m28a+IKI\ngPt/wX9R1UdE5JvAZ0XkQ8ALwPs38RqNMbfSqLPcPA1Z6n7JAA68DvqLNxwZNzJKxPh//+kUoExU\nCrzu9gaL3YRWNwZRHvxXd2z6GEaeFczGmA134tjjTL30VYJ0QEjMgJCImCWvQZD2wI/scN8mU9UT\nwGvWeXwOeMetvyJjzKYZzSsf/wuIO5D0hl3lhkvB6Ddh+v7rjozLG41hCIoI9GNlqRfzmlqde/bX\naXbdgb+tVCwDeFd6gYgcEpG/EZFnReQZEfmldV7zMyLytIh8R0T+XkRek3vu5PDxp0Tknzb6GzDG\nbC2jUQwvSyjRISCmSJ9TpXvJ8Fe6yra9zxhjNt+oq7z0kltCMuhAMgAJICy7bOXlCy4y7p733vDH\nPXJsBl/gbLPHeDmiFPmUo4DvzbRpdmOa3Zh337f1wnmupsOcAB9W1SdFpAZ8S0QeVdVnc695HvhR\nVV0QkR/HHQR5Y+75tcH4xpgdJn/AbzrrkyH4ZLSp0JcK1cGsdZWNMWarWLviOiqDF7jDfbVhwRoW\nXbFcmbzhmeXRGMafPXkaVWW8HHHHZIVa0ee52c1fTHIlVyyYh3mcZ4e3WyJyHDgAPJt7zd/n3vI4\nsHWmtI0xN93FA35hhUrWwiPBRzkT3kFASjFtoSrWVTbGmK3g4orrquscJ7HrLjfugLjtkjGSAUy/\n2j2/AcXyQ489T+QLqNKPMxY6A+4v1pmqFYmCzV9MciXXNMMsIkeAB4AnLvOyDwF/lbu/XjC+MWYH\nyHeVGwiJV0QBxWfRGyMgZWnfm2h1F9FSwzrLxhizmfJdZXAjFzBccT0BQQj73rQhy0jyHjk2QxQI\npxe6NMoR88sDasWQ52bbRIG/JRaTXMlVF8wiUgX+DPhlVV26xGvejiuY35p7+GXB+Kr62DrvtRB8\nY7aRfGxcoDFF7RBkKfMyQUhCSmCxccYYs1Vc7CrXYdAebu1Lobof0oEbv+g2N2QZychoDOPzwzGM\nRjniwHiJVx8Y4/vnt/4YRt5VFcwiEuKK5T9W1c9f4jX3A78P/PjwlDVwyWD8lxXMFoJvzPbiYuPG\n8JIOkfYRlB5FkqDMfPUui40zxpitIN9V9jyIapAl4AlEdTeWMfUDG95VHo1hFAMPVOnFGXPLfV59\noM7esSKFcOuPYeRdsWAWF9L5B8BxVf3NS7zmMPB54IOq+i+5xy8VjG+M2aZGYxgHT3+JRANir0Bb\nxihrm2VvjChZttg4Y4zZCkZd5WLdxcUNOqAvQXkKshgKNegt3ZSu8l8/e87V5L5HvRwRL/eplyK+\nf75NIdweYxh5V9NhfgvwQeA7IvLU8LFfAw4DqOrvAv8R2AP8zjAEP1HVo1wiGH9DvwNjzC1zMTIu\nKKMqVFlCMuFk5YeYjxrWVTbGmK1itLGvPes6x4O2y1YOq66A3nvPTesq10shaaYsdmMGqXL33ir3\n3TbGiQvbawwj72pSMr6BCxm53Gv+R+BlA4qXCsY3xmwv+cN940AqBXpSpqRdlqhS6s/RKu21rrIx\nxmwFF7OVz0CWudi4ZABRBUrj0G9taFd55JFjM9RLbr11L07JVClHPqkq0/USxWh7jWHk2aY/Y8xl\n5Q/3hdqnqF18MmbCw5wovYpq50XG0gssWVfZGGM218WNfV+CpAtx13WVCxWXrawKyIZ2lUeOn23y\n6LMzxGlKP84IfWEgQqMU0urFF5eSbKcxjDwrmI0xl3Ti2ON0vvgR9sbzZBJQ0g6K0KEMKFn9AK2o\nwlKpwZs/9J82+3KNMWb3GRXJZ5+G5oswdhA6cy7UNx24hSSFuusod+fhtgc2tKsMuXXXAu1eTKbC\nIIXXHGxwbqmHpx71bTiGkWcFszFmXaPO8nQyD2RUdImQmB5Ful6VQtK2yDhjjNlMFw/1NVwx3G1C\ne8Z1lYPiTdnYt55RznLowSCFcuTRKIWcW+px51SVB//VHdu2UB6xgtkYs8raeeWC9hAyEiJaXoNM\nPRSxw33GGLNZ8lFxfgSNw7Bw0q229kIIKxBEG76xb638umuGOct3762SqdLqJaC6I4plsILZGJOz\n3rxyRJ+UgKZXJZYC5WyJ87V77XCfMcZshnxXOUug13KjGOK5grm6180uH3z9hqdg5I3GMEKfiznL\n88uDiznLzW5MvRTuiGIZrGA2xuS4ZSQ1gv4CoQ4AaFGnJyViv0wlWaAdjjP5rg9bV9kYY26ltV3l\n2n4YLLs85VFXOYxc1nJx7KakYOQ9cmwG34PTC72L667HSuG2zVm+EiuYjTEXxzAOnX6YTD16Xpm2\n16CUtel6VXyNadV/gOVB04plY4y51fJd5XQA3QXXVS6OQ5JBeQ+kKUz+AJw/7jrKN6GrDCtjGJ/7\n1mnQjPFKgdv3lLfluutrYQWzMbvcaAzDFx9UKbFMKetysvZ65oOyLSMxxpjNlF9A4gVuFlk88Atu\nrfWRtw5HLzKYvAt+5FduSkcZVsYwVBVQ+omy0Blw/8E6U7Xtt+76WljBbMwulT/cN5XFxF6RjtQI\nNKUjVcrds7Qa99gyEmOMudXyUXGLL7gEDAnczHIygLAE1Sl3+yaPXsDqdddpqhRCj/FyRLMbUykE\nPDfbJgp23hhGnhXMxuxCFw/3hVXKWRufGD9rcbr4KuaL91JrP2/LSIwxZjPkxy+WZ9z4RW/RzSiX\nxt2hPgC8m3agLy+/7rozSOn2E1KFHzrU4P6DYzw3u3PHMPKsYDZmF1kdGSfEXhFQFI8lqRGmXbq1\nfbSCoi0j2QVExAf+CTijqu8RkQngM8AR4CTwflVd2LwrNGYXyR/q83woTcDiKddBDmugMRTGbuoC\nkvW4ddcBS92YJM0QgfFySLufcF+tThTs3DGMPCuYjdkl1kbGFbRLkGUsME4gKbFEFJKWLSPZXX4J\nOA6MDe9/DPiaqn5CRD42vP/Rzbo4Y3a8tVv6Jl8FgzbEPVg6A+K78Yv6IVg+f9MXkOSNxjD+/L+d\nIfKFQugzUY5o9RMqoU+zO9j2666vhRXMxuwCq1dc+xdXXHcpEYcV5qp32eG+XUZEDgL/HfC/Af/T\n8OH3AW8b3v408HWsYDbm5siPXvQXXXbyC99wz4kHYRWiirvfb7lRjJu0gGSt0RhGrRgQ+MJCJwZi\n3vSKPYwVA555aQlPtv+662thBbMxO9zKius5hIySdi6uuO54NaJkGfzIDvftPv8n8KtALffYtKqe\nHd4+B0zf8qsyZqdbm6c8cafb0ofnfnnDrnKh5g71Td38qLi842ebfPzhZ7nQ6oPb6woCjVLI7FKP\nyWp9x6y7vhZWMBuzQ+XnlfeoUtQuALGtuN71ROQ9wKyqfktE3rbea1RVRUQv8zUeBB4EOHz48E25\nTmN2lHPH4Jt/ACf+xs0nD1qQ6cqWPhHXRdZs9Za+mxwVlzfqLF9o9UjSjH6iKMr9B+q0+8muONx3\nKVYwG7MDrcwr1yhmHUL6RAxICOl4NWKJbMX17vYW4F+LyE8ARWBMRP4fYEZE9qvqWRHZD8xe6guo\n6kPAQwBHjx69ZGFtjGFl/OLC99zBve4CtGdc8oUfQViGIIIsvSVb+i7lkWMzFAIhyZR+klEMA2rF\ngOVByr231XfF4b5LsYLZmB0k31Vu4DHwy3ikgEdTJhgQEfslW3G9y6nqfwD+A8Cww/wRVf1ZEfkN\n4OeATwx//+KmXaQxO8Ha5Iv2jDvIJwJBBdIY6gchTW756EXequ19KMXAYyBCvRhQCD0utPu75nDf\npVyxYBaRQ8Af4WbZFHhIVX9rzWsE+C3gJ4AO8G9V9cnhc+8ePucDv6+qn9jQ78AYA6xOwQg0pqgd\nguwCizQIJKUvJVtxba7kE8BnReRDwAvA+zf5eozZftYmX0zcBf0lN4/cH+YpVyahth8688MCOr2l\noxd5F7f3ZcPtfXGGKvzQwQbz3Zj59oA91cKum1le62o6zAnwYVV9UkRqwLdE5FFVfTb3mh8H7h7+\neiPwfwNvHGZ8/jbwTuA08E0ReXjNe40xNyDfVa4T0I0miLSHoPQoMgiqXKhZCoZZn6p+HZeGgarO\nAe/YzOsxZlvLJ190L7h0ixf/3nWUxYPiOKR9VzSnCRTrmzJ6Aau398VJRjH0GS9HLHZjqoWA+c6A\ne2+r0+zGu75YhqsomIcnps8Ob7dE5DhwAMgXve8D/kjdcvHHRaQxnH87AjynqicARORPh6+1gtmY\nDZDvKnuaUtI2e3qztKgRErPsjRGlloJhjDE31drRi8oULLwAXug6yF4IUdn96jbde3oLcOfb4fUf\n2rSu8lgxoNVLGMQpC52Y192+u7b3XYtrmmEWkSPAA8ATa546AJzK3T89fGy9x994rRdpjFkt31Ue\nk5B2ehsF7RGQEBPS98vMjN1jXWVjjLmZ8skXxTG3VASGS0c88EOo7YOkv5J8EZXh7nfCPe/d1K5y\n6AmVQoCq4gmMVyKa3YR79u+e7X3X4qoLZhGpAn8G/LKqLm30hVhEkTFXJ99VFpRyusTk8gwtqnik\ntLw6QTawrrIxxtwMa2eUk757vDW7MqNcGHNZyiJua98mJl+MjLrK9VJIminNzoAziz32VEMy9SkG\n3q7b3nctrqpgFpEQVyz/sap+fp2XnAEO5e4fHD4WXuLxl7GIImOubLSxbypeoBfUKGctPDJSfFKv\nwAv119FofhfPy6yrbIwxG2VtkTz1A9A+B50FN6tcqENQgNIeSLou5SIZwOTmJV+s9cixGeqlEE+g\nO0hJM6UYetSKIa+aru3K7X3X4mpSMgT4A+C4qv7mJV72MPCLwxnlNwLNYY7neeBuEbkDVyh/APjp\njbl0Y3aXUWd5b7JATMhEMkNEj4yAedmDaAZ+wbrKxhizkfIH+XoLwxXWf+c6y2HZzSenMUzc4eaV\n27OA3PKlI5cyGsP486fOUI18fE+ol0LmlzMmyiHL/YQo8Hfl9r5rcTUd5rcAHwS+IyJPDR/7NeAw\ngKr+LvBlXKTcc7hYuX83fC4RkV8EvoKLlfuUqj6zod+BMTvc6hQMn0AHlFgmw6dNna4UySQkkNi6\nysYYs1HWHuSr3Qbzz4MXuJDdLIWoAqVxWDzlUi803tTki7Xyh/uKgcfMUh8FXn1gjFcfGOPZsy08\nVesqX4WrScn4BrhV4pd5jQK/cInnvowrqI0x12httnJFmxTpAT4LUqPrVSmnS5yv3W1dZWOMuVFr\nRy/Gj0Cv6TrIo4N8CFSnYLDsDvWpQmN49moTky/WOn62yccffpYLrT4iuOsEasWAziClEAbWVb4G\ntunPmC1o/WzlPh5KhypdyvSDmm3sM8aYjZBPuyiNQ78Ng/ZwM5/nfgVVN6fs+5BlUJ12Xefzx6Fx\nEPbdvynJF+sZdZbPt3qkaUY/UTJV7rutRifOLDLuOljBbMwW8/Js5VYuW9lj2avha2Ib+4wx5ka8\nLO1i4Arj1jnozrmDfF44LJILLg5u7UG+LTCjnJePjVOFTj8FlFIUUC0EdBPl3tvqFhl3HaxgNmaL\nWJutvJxMU9QuPikxIQPLVjbGmBuztkiefJUbtejMrxTJowI5y2DP7a7bPMpQ3iIH+dazEhsX0Omn\ndAcJvSQjCjzGigGFwONCu2+RcdfJCmZjtoDVXeWMarbIZMdlKxdRWl4d37KVjTHm2q0XCbc8A70l\nOPm3kCWr0y4at7sV1osvQq+1JTKUr8Yjx2aoFQJml/okWYYITNUKlEKPYhQw3x6wp1qwmeXrZAWz\nMZvoZRv7soNE2iMkJiEg8Uq8UD9Ko3ncspWNMeZqvaxIvgc6F6C/DCe/AenAFcnigw4gqq6kXWjm\nkjBq+wHdEhnKlzMaw/j8k6fxBGrFkD3ViFYvpRr59NOMe/eP0ezGVizfACuYjdkkqzf2ZZTTFpPt\nb9GiSkDCktTxNLGusjHGXK1Vh/cmXGEcd4a5yT1XJCMuEi4suUK4swB+sGXTLi5nNIYBiqqyPMjo\nxRlvvXuSQuDZMpINZAWzMZsgv7Gv71coZ+3cxr6Ik2OvpbH0z3iWrWyMMZe3tpucJm4GuTMP7Zfc\nXLL4bvTCD10kXG/JzSoPulDdu2XTLi7l4uG+Z87RTzLKkU+jHDG/PGCsGHBqvsO9t9UtNm4DWcFs\nzC2W39iX4jGenl+zsU8hKFpX2RhjLmVtkbzn7uHhvcXhquoxVxBL6DbyjR9xh/eiEiTx6ki4LZh2\ncTmjrnIl8lnsxqRpRrMb89rDDe4/OMZzs8sWG3cTWMFszC2Sn1ceR4i0h09KRsASDfpSJJPANvaZ\nnW9U7DRPQf3Qlu/mmU2U/3fFL7jHWudckTxxl3u8swDtbwzHLMoggRu/qO13W/cWT7vnatu3SIbV\nkXEAxcDDE8AT9pQjlnoJ995WJwoCi427CaxgNuYWWJlXHqOQdYnoE9Enw2dBGvS90nBj313WVTY7\n27lj8Pf/FxQbLpXge4/C05/ZFvOi5hZaO4s8dgDO/6MbqxAP4i60/251kUw6PLzXcEWyF4D6qw/v\nbbMieWS9yLhUYX+9yCDNiHyh2R3Q7MYWG3eTWMFszE2U7yo3EAZ+FZ8EgBZ1elIkDqq2sc/sHse/\n5A5bnf9n1x0s1lyE1wv/AKeegPHbt8UMqbkJ1o5ZZJnrECc9eP7rEBTdLHK/6YpoL3QFc6HmXrd8\nYXh4j213eO9y1q647gwSPIF6MaAc+dy/t26H+24BK5iNuUnyXeUo6xHRI8jmaFInlJSulPE1to19\nZndpngIE5p9z3cJ04NIJegtuPKO7CBeeg88/aMXzTnW5MYvJYUZyfxna54azyJHLR1aF8gTEoSuQ\ni2PQPg+e7+aTt+HhvSsZdZZnl3okaUacKoM0o1oIqRUClnoxUeDb4b5bwApmYzbY6q6yx8CvEBAj\nQJcS/aDG+dpdtrHPbCoRKQKPAQXc/ws+p6ofF5EJ4DPAEeAk8H5VXdiwD64fgvaMWwThR65g7i6A\nAP0WtGfd4a2g4GZT88VzdZ/7GmnfZp+3m/VykaPKyuIQCdyYxcnHVhaJiA/xsvspRKHqiubypBvn\n0dQtFckXydt45GKtfArGIM3oDBIEKEcBU7XhXzJErKt8C1nBbMwGWr+rfGHYVU7oSoUoXbZsZbMV\n9IEfU9W2iITAN0Tkr4D/Afiaqn5CRD4GfAz46IZ96j3vXZlhRl3XsLvolkZkCWSxK6Kz1HUPmy+6\nwnr+JFz4nvsaU/fArM0+b1lrO8idOTj39DAXOXa/zvyTG7nIhp3j0ZjFaJFIUHRzy+1zLhaOADqz\n0F+C29/iOso7rEgeGXWVy5FPsxuTpBm9JKMU+YwVA6LAY74Tc//BhnWVbyErmI3ZIKNs5el4DoAi\nXRShZ11lswWpqgLt4d1w+EuB9wFvGz7+aeDrbGTBvO8+t144f6Br4k5XIKOuOA7LMGi5LqJmrsBq\nzwyLbOD5x6BxyN3Pzz5bB/rWutxoxaiD/Px/dbPFhTG3aa89427nZ5H9AOLAzSIXai4/OSwOZ5Fv\nd18368ORH4HyHvfnu8OKZFidgqEKxdBDBHxPuK1RJPA8CrbietNYwWzMBhh1lg/EMwgZPikBCT2K\nLHs16yqbLUlEfOBbwF3Ab6vqEyIyrapnhy85B0xv+Afvuw/e+3+s82P6e6F1BrpLrqjyI5d6MGi7\nZATxoNd0XcneIiQDGCxBZdqNbpz/Z/ea299ioxwbLf9n1W8C4v4M8qMVmrmDeEkfXvwHdx91PzHo\nLbpu8Gj0on4A0h5U9rjHinX3F6RBZ0fOIl/JqKtcKwa0ewn9OCVVONAo0ksyCr5nK643mRXMxtyA\n0bzy9Om/5oB2CRmgCF2p0JQiqKKIdZXNlqSqKfBDItIAviAi9615XkVE13uviOWXtNcAACAASURB\nVDwIPAhw+PDh67uAffetFEGjgmyw7Law5YvnoAh77gLUzTmHFVeYDRZWNrgtz7qiSzx47v8Dz3Nb\n3RZeWH+UY9/9K91KK6JXXK5rXN3v/kwQaJ11fw6nv+lGKrLEFcijrnGWutvlPe7PL0ugMuV+KrB4\nyhXJY4dcgQw7fsziUvJdZU+gHPpkqojAeCmkFPncd8BSMLaCKxbMIvIp4D3ArKq+7N9cEfmfgZ/J\nfb17gClVnReRk0ALSIFEVY9u1IUbs1lGRXLhwjEavbOUwglq2iSDi13lnlcmJaCcLXG+dq91lc2W\npqqLIvI3wLuBGRHZr6pnRWQ/MHuJ9zwEPARw9OjRdYvqa3Kl4jmqwAt/5xIRKlPufmfOZexqCv3A\nFdGauU1vxbor0pbODA+JZS6arHYbIO5wWXny8t3oUcG43YvqSxXB/ab75zT6nteOU5x8zBW+fuS6\n+YuPu3EZv+C6xGnsfgKQj3kT341ThBX3fGUvhFX3Z4K414xykRsHV//z3iVF8siqbOXBMFs5g73V\niFiVSuhmmC0FY2u4mg7zHwKfBP5ovSdV9TeA3wAQkfcCv6Kq87mXvF1VL9zgdRqzJawc6qtTGixQ\n1hZjgwUyhAFFml4VVEm9gmUrmy1NRKaAeFgsl4B3Av878DDwc8Anhr9/8ZZf3HrFc/OUm2EdHSCj\n4tYdZynguznoUbc57rhs57gDIq7r3G+5UY542R0yzGJXkD/31eFrfDj/PZh51hXlU/fChe+6a7hU\nZzpfUK93O1+UbsRYwdUWvmuvYW0qRdxzUW1ByS340G+7798P3fjEC383/EB1c8TtmeGBvQS0A6Vh\nwommUB53n1fe4xaFlMbd41kKY7e5Q3oAh97s/vKyA3KRb1S+qxwIVIshSZohwFgxoFoKuXtv1brK\nW8wVC2ZVfUxEjlzl1/sp4E9u5IKM2YryUXF1AjrRJJPpORJ8EgK6lFAvQBF8EstWNtvBfuDTwzlm\nD/isqv6FiPwD8FkR+RDwAvD+zbzIVcXzyHqzz6MONLhucJa6x0p1QNwcdFB0HdHuPHiRK6S788NR\nDl0Z60iAk//VHUDLUteZru6FNF05qDj5Spj/vvsaU/e4LXSwcjtflHYWIIndNV+ui31N3d81hW/z\nJTj3jLs/+Uo4/13XVfcL7i8HZ77p/jmA+9q94ea7zjDSL6q5Q3mliVxqxR4IAveXjLDk5spH3fZw\nYdg19mDsoPvLCawerVjbQZ5+5/bt0m+QfFe5F6d0+gkvNfvsqYbEqc9Ywadl2cpb0obNMItIGffj\nvF/MPazAV0UkBX5v+CM8Y7aVfFfZ14SyttjTmyVDiIloB+MUsi7n6/dbCobZNlT1aeCBdR6fA95x\n66/oGlyuAw254jJXSIvnuqBhGYIyVCZdAZ103dhA3HFjHUEZNHGdUMR1obPYHWTrLa7cPvW4+9qK\nK6gLNfcZL/ytGwEZtGAgMLbfdbdPf9N1Y8//C5z7jvva43fC4vOuQB1/BSyecEWwH7oc6vnnhwfp\nguEccAqn/3F4AFLcZ/TVfS/dOfd1oqorpkfXNuoOj2aKSxPDeePhFI0oqLglIEnHvT8qw2Ls/pIA\nrlDW4drpfurGZERg3w9B66VdP1pxtfIb+zyBds9t7KsUfMaKEa+ctq7yVraRh/7eC/zdmnGMt6rq\nGRHZCzwqIt9V1cfWe/OGHCAxZgOt7Sp3owYF7eGTEhPSpQSeT5R26fkVS8EwZjOs14GGy49yHH6z\n64AO2q47OprTHY11gHussse9Jiy5Iri36ArqqOJue6ErPNMBIO523B3O7w43GPZbK4V2GkN3ZpgI\nAZx9cqWwPfstd3uw7Dq+pfFhYYrr/rZeennhO/qMdLBSBHu+u+9PuMI6bg+70MO/HBTG3PMirlOc\nJsPPqELjiCuMk4Gb9R6NU+S7xmPD+eOLYyb/ixXGV2HUWT7X7JJlGXEKgzSjEvmMl0Lafesqb3Ub\nWTB/gDXjGKp6Zvj7rIh8AXgDbrPUy2z4ARJjbkC+qxxoTEWb7OnN0qJGhEfbq+FrwkLpTia6JxhE\nY9ZVNmYrudwox5W60QC3vdYViOINs4Ij8IuumxuWXSe1MjX8wuqKa1VX0BbrrlMMw0K76Q6+hUXo\nh8NFHOoK0qg23HLYdLcHy8NOccUVzDocnUg6rvPrR8PCtwrJ8DOq067IFVxXWMR108F1vjV1RXn9\nsHuvX3BFdG+YQKLZyxeCWNd4Q4zmlb9y7By9JKU7SIddZdvYt91sSMEsInXgR4GfzT1WATxVbQ1v\nvwv49Y34PGNupvwCEhWPsrZRhAERfb/KzNirLo5eJBOvQN74UR6wItmYre9qu9HgisRLdab7S7D/\nAXcbVoprgIOvd7fDkitKVd28dKnhCtWJO1a62OUJV9CCK3ALNdeRluH9btPdDssr3d984RsMPyPu\nuddo5t6fv7ZLFcGjOenxw1YYb7BRkfzMS01OL3Q50Cgy33E/DRgkGeWCT60YEPm2sW87uZpYuT/B\nbX2aFJHTwMdxG6FQ1d8dvuy/B/5aVZdzb53G5XqOPue/qOojG3fpxmy8/AISyAg0JSBmQJGWVyfI\nejZ6YcxOc6lCeuRyBfXlbo+K0lJj9ZKPURc7X9iObnuBK4K7zavr/l6q8M1fjxXBt8zKob6Qxc6A\nVi/mqVNuZrkQekyNFRGgENrGvu3malIyfuoqXvOHuPi5/GMngNdc74UZcyuN5pX3nf4KB7R3cQFJ\nT8o0ZWKYruTZgT5jdqMrFdRX41qKbuv+bjv5qLjI9zg0UeLF+S6BB6EvlEKPQhAQCLaxb5uyTX9m\n11q9gOQlqkGDqjbJhtFwfYp0vYotIDHG3LiNKLrNlpTvKmeZstDrc3qhiyfgeR77akW6ccoDhxqW\ngrGNWcFsdqX8ob5K/wIVXWIsXiRD6FOm6ZVtAYkxxpjLGkXFzbX7lEKfxU4MKKEvlCOfKPDpDFLG\nioGlYGxzVjCbXSUfFdfAoxeMsSebJSYgHS4gEc+zBSTGGGMua9RZPt/qoZlyvpfQjVOiwGO6FpFm\nyiv3VvmXmTb1cmhd5W3OCmaza6x0lccoZF1C+kwMLpAi9CjRCeoUsw6ztoDEGGPMJVyMinvmHHGS\nsdxPXJR14NMoh4S+4HseqsodU1V+/u2vsCJ5B7CC2ex4+a7yBDDwyvi4/8D1KNKVEr5AIe3YAhJj\njDGXNOoq+wILnQGaKb0koxi6BSSFcBQVN2ajFzuMFcxmxzpx7HFmvvY7HFp4nAmvRi1bBBQ/m2eR\nBpEkdKWMrzFztoDEGGPMJawsIDlLL8moFgICT1CBA9USvicUCxYVt5NZwWx2pNH4xUT7JANC6tkC\nVV2mKwWWGWMQ1rhQfYUtIDHGGLOuVQtI5rvsHSswtzxAgHYv4c6pCkvdhMgXi4rbBaxgNjvK2vGL\nRjZPTIAitKRKSEzPKxMlbRu9MMYYs658VNz5dp/FzoDz7dECEp96KUREeO3tFhW3W1jBbHaMUVfZ\nC8qUszY+MSXtolJiwd9LLBHVZB5F7ECfMcaYl8kvIAlFGK9EnFnoEvlCwfOoRD6+7+ELNLsDomDM\nouJ2CSuYzba30lV+lKksYeCXAQU8FqVOgT4ZQpAN6Po1lirWVTbGGLPi+Nkm//kfXuAbz80xXgpo\ndmKyLONMs4fvQTH0magUWB4ktoBkl7KC2WxL+S199f5ZCtE+atkSkFFLW1zw9lLQHgMpkmQtUKho\ni9ONN7D3x37BusrGGGOAlfGLE+fblCOfC8sDFjoDSqFPpRBQiXwQod1PbAHJLmYFs9l28lv6SoMF\nSlmbeu84GUJCQNurkvpFZqr30mgeJ/ZLLNz2o0Rv/EneZIWyMcYYVo9f+AKzrQGBByJCJfJJMpgo\nh/TTzBaQGCuYzfaRP9BXJ6AbTTCZniPBJ8GnT4FUIhJCCkmLlh3qM8YYs45RV7lW8FnuJ/TjlFYv\noRz57K0VqTZKnG/1QARPPFtAYqxgNltfPk953K9Tztp4pOzpzQ67yhGtoEEh63HetvQZY4y5hItd\n5WfOkWZKpeCTZgpAoxTQT5Uo8OjHKfVSZKMX5iIrmM2WNhq/GG+fpCdlxtJF6tqkKwX6lOhRRDyP\nKO3Zlj5jroGIHAL+CJjGnZJ9SFV/S0QmgM8AR4CTwPtVdWGzrtOYG7UqT3mhy4FGkYXOgCxT5pZh\n/1iBXppRCX2a3RiAxW7Cj9y1h5998+1WLBvACmazReXHLxp4NLJ5UjxA6EiRgIy2V8fXmHnb0mfM\n9UiAD6vqkyJSA74lIo8C/xb4mqp+QkQ+BnwM+OgmXqcx1y2fpzzX7rPUHXC+5fKUQ18YL4ZUigH3\nT1V55qUlyoWQt71qL+++b9oKZbPKFQtmEfkU8B5gVlXvW+f5twFfBJ4fPvR5Vf314XPvBn4L8IHf\nV9VPbNB1mx3s4qG+sEIx6xAyoKLLdKTIkjdB3ytTSRYu5inblj5jrp2qngXODm+3ROQ4cAB4H/C2\n4cs+DXwdK5jNNpM/0BcIjFcKnBrmKYe+UAw9ikFAIRCa3diSL8wVXU2H+Q+BT+J+dHcpf6uq78k/\nICI+8NvAO4HTwDdF5GFVffY6r9XscPmu8qQmDLwyHikAS1IlIiGWCD+LLU/ZmA0kIkeAB4AngOlh\nMQ1wDjeyYcy2kM9TbpQCFpYHqCovNfv4ntvSN1GJ6AxSy1M21+SKBbOqPjb8j+m1egPwnKqeABCR\nP8V1LqxgNhetzVMuRtPUsiaQMZYuMS97iBjQlxJFy1M2ZsOJSBX4M+CXVXVJRC4+p6oqInqJ9z0I\nPAhw+PDhW3GpxlzWaPzi++fbhJ5wvtWn2Y0phT61YkApdHnKy/3U8pTNNduoGeYfFpGngTPAR1T1\nGdyP9k7lXnMaeOMGfZ7ZAVblKffnKWdt6r0FMoSUgGWpEAdl5quvtjxlY24CEQlxxfIfq+rnhw/P\niMh+VT0rIvuB2fXeq6oPAQ8BHD16dN2i2phbYTR+8ZVh8sVcu08x9PA8YawYMEiVRsnylM2N2YiC\n+UngsKq2ReQngD8H7r7WL2Ldit1j7YG+blBnMjtHQkBCQI8CmYTEElFI2panbMxNIK6V/AfAcVX9\nzdxTDwM/B3xi+PsXN+HyjLmsVckX8132NQosdAZopnTjlMAX9teLFAKPWctTNhvghgtmVV3K3f6y\niPyOiEzius2Hci89OHzsUl/HuhU7XD5PecKrUc2aCMrE4AIZwoACy0GDQta1PGVjbr63AB8EviMi\nTw0f+zVcofxZEfkQ8ALw/k26PmNWWRsP98rpKjNLPRY6fc63R8kXHntrBdp9d/6lZ3nKZoPccMEs\nIvuAmeGs2xsAD5gDFoG7ReQOXKH8AeCnb/TzzPY0Gr+YaD9PTEg9W6CmbbpSoEuFPkU8D6K0a3nK\nxtwCqvoNQC7x9Dtu5bUYcyX5eLil7oBBkvLE8/P044xy5OF7Qin0CH2fQiAX/8W2PGWzUa4mVu5P\ncBFDkyJyGvg4EAKo6u8CPwn8vIgkQBf4gKoqkIjILwJfwcXKfWo422x2kdXJFyl1XWRAiCK0pEJE\nQser4WvMnOUpG2OMycnHw0W+cHiiwosLPTwUFDJVKoWQRjmk3U8uJl9YnrLZaFeTkvFTV3j+k7jY\nufWe+zLw5eu7NLNdXS75oqg9UvFY9KeIJaKazFuesjHGmFXy8XDj5YBWL0Ez5fRCD09APGGiGtHt\nJ/ie0Oollnxhbirb9Gc2VD75otyfo5K1ViVfzMs4JbpkCEE2sDxlY4wxq4zGL06cb1MKPebaA+aW\nB5RCn0LoUQw8CkGAKuwdK7JvrGjJF+ams4LZbIj86MU40AvqTGYzxOskX2SZWJ6yMcaYVS6OXzxz\njkxhbrlP5AsiQjnySDJlqlpgsCYezpIvzK1gBbO5bmtHL8LiIcpZG5+Y8cE8KR59inSC+qrkC8tT\nNsYYAy+Ph5seKzA/jIdb7idQCJiuRZQbJc63eojFw5lNYgWzuS750YtivEgxW+ZI52kyBMVjmSID\nifDFki+MMcasWBsPd9feKmcWu8yviocTpqoFlgcpge/Rt3g4s8msYDbX7MSxx+l88SNMx3OkEtLQ\nefpEpPgMCEkkYiBFS74wxhgDvLxIftV0lcXOgM4g4YkTc8SpUo48Ql8oBR7BMB7OG+bDWTyc2WxW\nMJurkh+/aPReYlqbxAQUtUtB+/QlYt7fS6T9VUtHLPnCGGN2t9UZyjFZpnzrxUWW+wml0MMTATLG\nihFjpYCWxcOZLcgKZnNJa2eUg9IR6r2XqOkiZe3SlQLLUqdLiSrLhFnfRi+MMcZcdPxsk48//Cxz\n7T5jxZAzi10CD9IM4jSjVgyYqkU0uwMQWLJ4OLNFWcFs1pWfUS7ETaKsy5HlpwhI6FGgJVUiYrpe\nmZQAP40RURu9MMaYXW7t+MVid0DR93hpsUurF1OOfMbLEVHgUY4C+knG3prFw5mtzQpms0o+Hq5O\nQKcwyd7kLAke2XDZ6LI3Rt+rUE3mSL0ClWSBZriP8vv+k41eGGPMLrTeQb6XFrvML/dp9RIGoU+5\nEDBRDukmGYHvMVGJVhXJlnxhtjIrmM26oxeFrEvIgD3dWTKEDJ8lfw/FtIWHUkiXaQd7aNV/gOVB\nk8l3fdg6ysYYs4usd5BvvjNguR+vOshXiXziTJkohxQCj7PNHihWJJttxQrmXe5SoxcKKEKfAn0K\n4Pn4WUw72EOnsNeSL4wxZhdbfZBvQJxmfPPkAt04XXOQL6RWCjnf6lGMAubbA24bL/O//ut7rUg2\n24oVzLvYKB5ubzxH6kWMZ3P0icgQEjwSKdKTMr7GLOTi4Sz5whhjdqeL2/iePUfkCbc1Srw438UT\nd5AvSTOiUkCjHLHYGYAIrV7C3lqRe/eP0ezGdpDPbEtWMO8ya+Ph9mqThAA/c/FwsQQs+lMEGls8\nnDHGGMAVyv/5H17gG8/NMVb0WVgegCqnF3t4AuIJ45WQYuhRDAN6sR3kMzuLFcy7wMtWWJduf1k8\nXEfG6FGkQgc/iy0ezhhjdrm1a6t7SYKqcr6VstSLKYU+5SigEAih7wMwPVa0g3xmR7KCeYd7+Qrr\nDkeWn8InvRgPVyCm41VICfDSxOLhjDFml1p7kO/OqQqn5zvMdwY0uwm1gk8x9GmUQnpJxp5KSD/N\neOXeqhXJZkezgnmHysfDNRC64QRTyVkSfFI8PDKLhzPGGPOyIvmV01VmWz2WugP+8USfJFtZW50q\n7K+XEIHZVg9E8MSzItnseFYw7yBrRy+iwkHKWRufmIn+3PAwX8iyX6eULlk8nDHG7FLrRcItdAZ0\nBwmPn5hnkGSUIw/fE5JMGStFjJcjTi12GaQZqkq9FNk2PrNrXLFgFpFPAe8BZlX1vnWe/xngo4AA\nLeDnVfXbw+dODh9LgURVj27cpZuRE8ceZ+Zrv8OhhccZ9+uEWY+ydqh3v0OGoHh0KDCggOdBkA0s\nHs4YY3ah/OG98XJIkmX0k3RVJJwAmSqlMKBRCZlr9wFIFQ41SgAsdhN+5K49/Oybb7di2ewKV9Nh\n/kPgk8AfXeL554EfVdUFEflx4CHgjbnn366qF27oKs3LrO0m79WMPkVq6SITukBLyqT4DAhJpMBA\nCvgaM2fxcMYY1m+GiMgE8BngCHASeL+qLmzWNZqNsbabrKpUiz6tXsyZxR61go/veSRpRlgMmKyG\nLHVjwsBjuZ+uSru4baLEvfvrvPu+aSuUza5yxYJZVR8TkSOXef7vc3cfBw7e+GWZy1m9bGSJMOsz\nqXO0pURKSIJPQMa54DYKWc/i4Ywx6/lDXt4M+RjwNVX9hIh8bHj/o5twbeYGrTdysdgZ0I9Tzi31\nqEQ+hdAn8KAfZxzcU6TU9yhGAYNU2WtpF8asstEzzB8C/ip3X4GvikgK/J6qPrTBn7er5A/y1QlY\nLkwxlbxEikeKR1H7zPp7aGdVpjhPlPYsHs4Ys65LNEPeB7xtePvTwNexgnnbWK9IbnYHDJKUf3ph\ngc5gtIUPunHGRKVAOfKZafVRxYpkYy5jwwpmEXk7rmB+a+7ht6rqGRHZCzwqIt9V1ccu8f4HgQcB\nDh8+vFGXte2tl6FczDoEDNjTnR3OKAsXZA/jLJJIgHjKfDZh8XDGmGs1rapnh7fPAdOXeqH9N3tr\nWK9IXurGpFnGky8ustxPKIYeaQZxmlEtBEyPFbnQHlCKfFSV6VoBFCuSjbmMDSmYReR+4PeBH1fV\nudHjqnpm+PusiHwBeAOwbsE87D4/BHD06FHdiOvaztYe5AuyPkV1GcqjIrlPkT4heAGZCrM6DQoV\nbXF64g3s/bFfsNELY8x1UVUVkUv+t9j+m7251h7eS7MMzZSnTi2yPEiJfCHNYJBmFEPv4ha+UuT+\nt39o3A7vGXMtbrhgFpHDwOeBD6rqv+QerwCeqraGt98F/PqNft5uMJpRHm+fpC8lqmmTPTp/8SBf\nTEAiEX0p4WvMwvAg33JpP709P0j0xp/kTVYoG2Ou3YyI7FfVsyKyH5jd7AsyK9Y7vFcv+nTjlFPz\nHaoFH088enFK6AXUSwFh8P+zd+dRkt1Xgee/922xZkRmVlZlLVmlkizJ2izbsixv2JYxNt7ddDMG\nT9uDjRkNPWBoBtpg6EYHTjMYhulm6wY02Lgx4GUAI8kYWcKDLbwvwpZKKluWVHvlVrlExh5v+c0f\nv4isyKzMVFUpt4i8n3PyZMaSEe+V5V/cvO/e+xPyKR9YugufNu8pdWkuZqzcR7E1bSMichq4E/AB\njDF/DPwqsAv47yIC58fHjQKfbN/nAX9ljLlvA86hb5yvUX6AEZNQMCVCPECIcPGJmXD3Exht5FNK\nbYh7gB8DPtD+fvfWHo5atXkvipkoNcmnHALPxRGotWL2FgN8tx0kC+wvBlqXrNQ6uJgpGW9/msd/\nAviJFe5/Cnju5R/aztBdozzYOEPOH6aQlDAYMqaOkQwLzvBiI5+faCOfUuqZWyUZ8gHgEyLyHuAE\n8LatO8Kda7XmveYFzXuGWitmIB0wWkhxrhLiuw67chokK7XedKe/LbDSjnxDjdPkzQKFVmlxR75Z\nGSJDnVB8beRTSq2rNZIhr97UA1GLLthUJE4umHDRad7LBS67B1LMVloMpD2MMbiOo817Sm0QDZg3\nyfIg2cteRa45TTYpU6w/gktMg3R7s5EAHJcQnyQRbeRTSqk+tTybnCSGjO9QqoeMl85vKhLGCdnA\nZXh5896w/a7Ne0ptLA2YN9jyaRduEuKbBldU/gWfkAYpIlwEQ8Up0HKypJPqYo1y6GaY2/9KbeRT\nSqk+sTxIvnpPnsmFBuVGi3OVkIFU16YiUcLYUIqU75ANPAzavKfUVtCAeQN1T7uoS5ZsXGG3maYs\nWQwOgqFBhrpXIBfN4ZKQiqtao6yUUn3mwiA5x3ipzkK9xVeenCFKDNnAWQySdxfSDKQ8zi40MAh7\ndVMRpbaUBswboHtHvl3GUDDzRLh0pl2kTMiku59UUsU4HkFcp+Ltopbaw3D9Ka1RVkqpHtYdHC80\nIhwM8/WIq0aynJ2vU6q1+MqTzcUg2XWEKEnIBh6FtM/ZhQaB62Ac3VREqe1CA+Z1snTaxVmy/jAD\nyTxgyJoaNUlTkUGq5BjhHI6JLwiSdTycUkr1puUZ5L0DARMLNiieWmjgew7T5SbxkiDZkEv5FNIe\nM9UmnusAcHBQNxVRarvRgPkZuHDaxYGuaRfzJAgxHrMySJYGTSeNmKXTLjRIVkqp3rTajORWFPPN\nk/OkfJeU59CKDbGJGUj7JIlhIO0zkPY4V2niOkK1FbNnQOuSldrONGC+RCtNu8g3p8glCxTrc+1p\nFyliPFr4IB6h+CSJo9MulFKqx60UJM9WWzTCiK8dn6URJmR8hzA2JCYiG6TIBi5RYjg4nGW63EBE\nqDSXBslacqHU9qYB80VaPu3CS1qkTY3DlYfwiNrTLjzAUHGKOu1CKaV63Gq1yNfsyTO10KDSDPny\nU7O0ooRs4JAkEMUJTuCSS7lEsWFfMc2s12K2GlJuRBokK9WjNGBew/Js8qhJaJFiIC4xbGYpS5YE\nBzDUJUfDHSAXzeq0C6WU6lGr1SLHxjC50CDwXM5VmkSxrUUWIDYG33UYynlUGnZGsucI5WZMqR7h\niPCc/QNMLLQ0SFaqR2nAvMwFJRe5Z5EO50gldYbNHBXJEOMT4eITMemOkYkXQByCuKbTLpRSqses\nVGYxV7NbUS+pRY4McRKRT/mEJKR9j4G0R6nWIh14xMnSGcl7i2kShGLG44Z9RX5Ra5KV6lkaMLNy\nkJwKF3CTFmPlb5GiSZMUMQ5p02LK3UUlybObabykpdMulFKqB3QC4zPzdQJXEGCy3FzcPGRqoUG1\nGfKVY7M0Q1tm0alFzvgpMr6tRR4bzjBTaRJ4Ds0oYY/OSFaq7+34gLmzuYgERVJhGTEJ+8tHSFOn\nhY9DgmtiIvGZkt3sYpZIPMTRaRdKKdULjo6X+MiXT/CFJ2YYyvrsK6Z4fLJq640daIbJks1DMBAn\nCa7jkU95hHHC/sE0s1Vbi1zVhj2ldpwdGzB3by5SxKOc2c9wNAEYHBI8E9KUgLIzSDOpEzlpjBGm\nzKhOu1BKqW1orQxykhiygUulGfHP3yuT9l08x2GhGTGU8RY3D0n7Hvm0x0K7zMIVKDfRWmSldrgd\nFzB3T7sYcXLkkxIAu6pTJAgGhxo5QvFpOVkwUPZGFksuqpl9NHbdqNMulFJqG1ip/jgTuHz5qRmi\n2OCK3Wp6thYykHJJ+S5xAs0wJp/3qIdCIROQT9lmvsBzaC0rs9BaZKXUjgiYl+/CN2YaCAmFZI68\nqVKXFC3StPBJxCfBoeYOal2yUkptI6uNebu2PQu5GcV888QciTHEiQFkMYPsOTZw3pVPEcYJrcgw\nmA0YSPtEidG5yEqpNfVtwLy8kS8V7LW78FEmb2qUJUtEipIMkKZF2RnE6GPEbQAAIABJREFUNSFz\n2as0SFZKqS20VmnF3oGA8QU71m26Yse8zVSahO0xb3ECC82I4YxH4LnUw5hCJmAw43O61CDtuxTT\nHtPtucgvumqIaiPWIFkptaanDZhF5EPAm4ApY8xNKzwuwO8BbwBqwLuMMQ+1H3td+zEX+FNjzAfW\n8dgvsDxI9tMHKTbGGTDzFBvnd+FriW3mm/f3YAzkoxkMAo5okKyUUptkrcC4U1rxladmiZIEzxGa\nUcKp2Spp3yXtu0vGvCUmwXMdihmPVpwwkk+BCLmUR5QYEoSDgxkAmjG89MphhnIBzdhokKyUeloX\nk2H+MPCHwJ+v8vjrgWvaXy8C/gh4kYi4wH8DXgOcBr4uIvcYYx57pgfd7cKtqq8k35wim5Qp1h7u\n2qpaACg7g5RNkT1mEidpIcZQdwdYyOnmIkoptRlWmlrxvckqCYbAtaPavnFiDtOeVgHCdLu0olN/\nXEj7ZAOXMDYcGMowW22S9j0MsL+YptKMMbAkg7x/OMMN+4q8TmuQlVKX6GkDZmPMgyJyeI2nvBX4\nc2OMAb4iIoMisg84DDxhjHkKQEQ+1n7uugXM50fCFcg2Z0gnFa6sPNQVJLsICTUp0HCz5KNZPGIS\nhCm6pl0M2mkXurmIUkptrKPjJe568BjfmyyT8R0qzYgvPFEh47s4Ikw0m4uBcaf+2Hcdai0hl/KJ\nDbRC25TnucJsNaTWWlp/vH84w+58CgHNICul1sV61DAfAE513T7dvm+l+1+0Du+3aPKrf40ERYL6\nBCPJJCEeMQ4uMXXJtreqnkPEkFq2C59Ou1BKqZVtZDndfUcmaUUxEwsNW4YhQhQbaiZiMBvgYAg8\nl2zgLpZWiMhic17Gc4hiQ6ke6pg3pdSm2TZNfyJyB3AHwKFDhy7qd9zyaaLcPsK4Tr2aJsaj7g6Q\njUsgLkFc1134lFLqEmx0Od2Z+Toj+RTZwAWwgXGU0IpscDyUDWzNsbGlFdUVSit0zJtSarOtR8B8\nBjjYdXusfZ+/yv0rMsbcBdwFcOutt5qLeeN4YAynPk+SG+UML2JP6WH8pKlBslJKXb7b2MByugOD\nGUr1Ft939QgPnZwn5TkMZlaeWqGlFUqp7WI9AuZ7gJ9uL6ovAkrGmHERmQauEZErsYHyjwL/8zq8\n36LRF/0w5+7/v0mAJDvCTEtHwiml1DO0oeV0r7tplLsePEYx4/O8g0WOjpd1aoVSatu7mLFyHwVu\nB0ZE5DRwJzZ7jDHmj4FPY0fKPYEdK/fu9mORiPw08BlsHdyHjDGPrufB2ya9n2fyq3+NVz6tQbJS\nSm2SyymjA7h+X5E7XnEl9x2ZpNKMuP3Ze3RqhVJq27uYKRlvf5rHDfBTqzz2aWxAvWGuuunFOt1C\nKaXWz2pldktcThldx/X7ihogK6V6irPVB6CUUmpb+TrtcjoRCbDldPds8TEppdSW2jZTMpRSSm29\nzSinU0qpXqMBs1JKqSU2o5xOKaV6iZZkKKWUUkoptQaxPXvbS3sk3YlL/LUR4NwGHM52oefX2/T8\netulnN8VxpjdG3kw281lrtmg/930sn4+N9Dz63XrvmZvy4D5cojIN4wxt271cWwUPb/epufX2/r9\n/LZKv/+79vP59fO5gZ5fr9uI89OSDKWUUkoppdagAbNSSimllFJr6KeA+a6tPoANpufX2/T8elu/\nn99W6fd/134+v34+N9Dz63Xrfn59U8OslFJKKaXURuinDLNSSimllFLrri8CZhF5nYh8V0SeEJFf\n2urjeaZE5KCI/JOIPCYij4rIz7bvHxaRB0Tke+3vQ1t9rJdLRFwR+RcR+VT7dj+d26CI/LWIfEdE\njorIS/rs/H6u/d/lERH5qIike/n8RORDIjIlIke67lv1fETk/e215rsi8oNbc9S9Tdfs3qTrdm+e\nX7+t2bA163bPB8wi4gL/DXg9cAPwdhG5YWuP6hmLgJ83xtwAvBj4qfY5/RLwWWPMNcBn27d71c8C\nR7tu99O5/R5wnzHmOuC52PPsi/MTkQPAzwC3GmNuwm6d/KP09vl9GHjdsvtWPJ/2/w9/FLix/Tv/\nvb0GqYuka3ZP03W7x/Tpmg1bsW4bY3r6C3gJ8Jmu2+8H3r/Vx7XO53g38Brgu8C+9n37gO9u9bFd\n5vmMtf9j/n7gU+37+uXcisAx2v0BXff3y/kdAE4Bw4AHfAp4ba+fH3AYOPJ0/3stX1+AzwAv2erj\n76UvXbO3/vgu85x03e7B8+vXNbt93Ju6bvd8hpnz/zF0nG7f1xdE5DDwfOCrwKgxZrz90AQwukWH\n9Uz9LvA+IOm6r1/O7UpgGviz9qXLPxWRHH1yfsaYM8DvACeBcaBkjLmfPjm/LqudT1+vN5ukr/8N\n+3TNBl23e/L8dtCaDRu8bvdDwNy3RCQP/A3w740xC92PGftnUs+NOBGRNwFTxphvrvacXj23Ng+4\nBfgjY8zzgSrLLnX18vm1a8Leiv2A2Q/kROQd3c/p5fNbSb+dj9o4/bhmg67b0LvntxPXbNiYc+qH\ngPkMcLDr9lj7vp4mIj524f1LY8zftu+eFJF97cf3AVNbdXzPwMuAt4jIceBjwPeLyF/QH+cG9i/X\n08aYr7Zv/zV2Ie6X8/sB4JgxZtoYEwJ/C7yU/jm/jtXOpy/Xm03Wl/+Gfbxmg67bvXx+O2XNhg1e\nt/shYP46cI2IXCkiAbaw+54tPqZnREQE+CBw1BjzX7oeugf4sfbPP4atk+spxpj3G2PGjDGHsf9b\n/X/GmHfQB+cGYIyZAE6JyLPbd70aeIw+OT/sZb0Xi0i2/d/pq7HNMf1yfh2rnc89wI+KSEpErgSu\nAb62BcfXy3TN7jG6bgO9e347Zc2GjV63t7poez2+gDcAjwNPAr+y1cezDufzfdhLCQ8D32p/vQHY\nhW26+B7wj8DwVh/rMzzP2znfPNI35wY8D/hG+3+/vwOG+uz8fg34DnAE+AiQ6uXzAz6Kre0LsZmm\n96x1PsCvtNea7wKv3+rj78UvXbN790vX7a0/1ss4t75as9vntOnrtu70p5RSSiml1Br6oSRDKaWU\nUkqpDaMBs1JKKaWUUmvQgFkppZRSSqk1aMCslFJKKaXUGjRgVkoppZRSag0aMCullFJKKbUGDZiV\nUkoppS6BiNwuIqe3+jjU5tGAWfUMEXmXiDwiIjURmRCRPxKRwYv83eMi8gPreCzr+npKKbUedJ1U\namNowKx6goj8PPBbwH8AisCLgSuAB9rb6yql1I62k9dJsTYlphERbzu+ltpYGjCrbU9ECtitPd9r\njLnPGBMaY44DbwMOA+8QkQ+LyH/u+p3Fy2Ui8hHgEHCviFRE5H0iclhEjIjcISJnRWRcRH6h6/cv\n6fU2/B9BKaXW0KvrpIh8TkR+U0S+JiILInK3iAx3Pf5iEfmSiMyLyLdF5PZlv/sbIvJFoAZctcLr\nnxCRF7R//rft87mxffs9IvJ37Z9TIvK77fM82/451X1eIvKLIjIB/NkK7/MzIvKYiIy1b79JRL7V\nPu4vicjNXc893n6th4GqBs29QQNm1QteCqSBv+2+0xhTAT4NvGatXzbGvBM4CbzZGJM3xvx218Ov\nAq4BXgv84sVcPnya11NKqa3Qy+vk/wL8OLAPiIDfBxCRA8DfA/8ZGAZ+AfgbEdnd9bvvBO4ABoAT\nK7z254Hb2z+/EngKeEXX7c+3f/4VbEb+ecBzgduA/9j1Onvbx3BF+/0WicivAu8CXmmMOS0izwc+\nBPxvwC7gT4B7OgF429uBNwKDxphotX8YtX1owKx6wQhwbpVFZbz9+OX6NWNM1RjzCDZr8PZn8FpK\nKbVVenmd/Igx5ogxpgr8J+BtIuIC7wA+bYz5tDEmMcY8AHwDeEPX737YGPOoMSYyxoQrvPbnsYEx\nwMuB3+y63R0w/1vg140xU8aYaWy2/p1dr5MAdxpjmsaYevs+EZH/gv1D4lXt3wMbUP+JMearxpjY\nGPM/gCY2IO/4fWPMqa7XUtucBsyqF5wDRla5bLWv/fjlOtX18wlg/zN4LaWU2irbfp0UkT9ul2dU\nROSX13h9HxvgXwH8T+2yhnkRmQe+D3s+F/yuiLy86/Ufbd/9eeDlIrIPcIFPAC8TkcPYOu9vtZ+3\nn6UZ6uXnOW2MaSw7pUFscPybxphS1/1XAD+/7LgPLnu97nNWPUADZtULvoz96/xfd98pInng9cBn\ngSqQ7Xp477LXMKu89sGunw8BZ9s/X+7rKaXUVtj266Qx5ifb5Rl5Y8z/ucbrh9gA/xQ2+zzY9ZUz\nxnxgpfcwxvxz1+vf2L7vCWx983uBB40xC8AENtD9gjEmaf/6WWygu9J5XnAubXPAm4A/E5GXdd1/\nCviNZcedNcZ89GleT21jGjCrba/9l/uvAX8gIq8TEb+dHfgEcBr4CDZL8AYRGRaRvcC/X/Yyk6zQ\nEAL8JxHJtptA3g18vH3/5b6eUkptuh5fJ98hIjeISBb4deCvjTEx8BfAm0XkB0XEFZF0uwFv7CJe\ns9vngZ/mfPnF55bdBvgo8B9FZLeIjAC/2n7/NRljPoct5/hbEbmtfff/A/ykiLxIrJyIvFFEBi7x\nuNU2ogGz6gnthpFfBn4HWAC+iv0r/tXGmCb2w+DbwHHgfs4v6B2/iV0M57u7vLEL5hPY7MvvGGPu\nb99/ua+nlFJboofXyY8AH8ZmftPAz7TP5xTw1vY5TbfP5T9w6bHL57FNgQ+uchtsY+E3gIeBR4CH\n2vc9rXZt9Y9jJ4LcYoz5BvC/An+IzUI/gW0KVD1MjNGrAmrnaWdejgG+digrpdSFNmOdFJHPAX9h\njPnTjXh9pdaLZpiVUkoppZRagwbMSimllFJKrUFLMpRSSimllFqDZpiVUkoppZRagwbMSimllFJK\nrWGlHYG23MjIiDl8+PBWH4ZSSl2yb37zm+eMMbu3+jg2k67ZSqledbFr9rYMmA8fPsw3vvGNrT4M\npZS6ZCJy4umf1V90zVZK9aqLXbO1JEMppZRSSqk1aMCslFJKKaXUGjRgVkoppZRSag0aMCullFJK\nKbWGbdn0p5RSW2biCBy9F0qnoHgQrn8z7L1pq49KKaXUSjZpzdYMs1JKdUwcgS/9AcyfAC8N9Xl7\ne+LIVh+ZUkqp5TprdvUcJDHU5zZszdaAWSmlOo7eC34GFs7C9HdAgPSgvV8ppdT2MXEE/uF9cOqr\n8MQ/2jU7rG3Ymq0lGUop1bmk9/DHAYF0wV7aSxfBGHupTyml1PYwcQS++HswdxwMYBKoTNnv6cKG\nrNkaMCuldrbOJb10EdwAarM2S7H3ZkCgUbLBs1JKqa3VSW48+kloVSGJQFzIjdj1e+44BAMbsmZr\nwKyU2tmO3msv4YU1W7csYm/PPAF+FhrzcMs7t/oolVJqZ+oEyeMPw/xxyAzbWmUcGzCnMjZYdgNb\ny7xBa7YGzEqpna10CoI8zD4FqTwMvwSq01CegMwr7MKrUzKUUmrzLV4BHITqlA2Uq9MgDqQG7FcS\ng5+2wXJuBF763g1ZszVgVkrtXBNHbCZ55knb7Lf7eqYzV3JqLs20ey2PRf+G15lRrt/q41RKqZ2k\nk1X+zt+D60NuN8yftFlkz7NlF057bkUSw+hzbGZ5g4Jl0CkZSqmdqtM0ErXs7SShMXOCE48/gjRK\njO/7AUr1kLsePMbR8dLWHqtSSu0UnaxyfR7ilm3mO/uQLZfz01AcA8eFsdsAoR4nfHk85ncqr+W/\nPhJs2HqtGWal1M509B67IAdZGL4KHJfK9Di7nBn+Kv9THCvv5Zo9DuBz35FJrt9X3OojVkqp/rVS\nVjmsgYltf0knq9wo20kYbsB87jB3BW+kNnwd2cCl0k5y3PGKK9d9zV63gFlEPgS8CZgyxty07LGf\nB34H2G2MObde76mUUpessyg/9BFbB5ffA1e8DIIcD9XOMhhN83B0EDeJiRPDQNrjzHx9q49aKaX6\nV3etctyytcqlU5AegrgJ2WGIQhi5DqaPQmaQqTjNb82+mm+1dpFemCVwhRdduQsyG5PkWM8M84eB\nPwT+vPtOETkIvBY4uY7vpZRSl66zKGPsKKKoAc0F5ubn+E6lQaU0y4k4T9WJeN7BQTKBR6kecmAw\ns9VHrpRS/amzAUl1GhzP1iKLY7PK6YId8Tn+bVuSMXI1vPznOGoOcteDx3i4NQ/GcK7cJEoMuwcq\nPHtvYUOSHOsWMBtjHhSRwys89F+B9wF3r9d7KaXUZTl67/lZndlhaJSoG5+ZYw9j8tcy6NT4q/B2\nzlWaxCahVA8p1UN+5IVjW33kSinVfzpJjIVxSBKIyxA17UjP3AiEDbtmj1wDL30vR81B7ntkkvsf\n+zaOQK0VkSQG33MZDFxK9YhyI9qQJMeG1jCLyFuBM8aYb4vIRr6VUkqtbnEnv4/ZXaEygzB8JWSG\nOPf4txhMpjkaZfl8/vtxhq5kNEr49qkFXnPDKD/ywjGtX1ZKqfXUWZOP3muv9IVVm1UOMrZ2WQRw\n7PfMINzyzsWscjHjUw9j6s2Iepjgu8JIxiPru5yrNDcsybFhAbOIZIFfxpZjXMzz7wDuADh06NBG\nHZZSaqfpZDBSBVuG0VywNXL7nsc0Rb7ZHGM2uYY/bfwr9gykePEVQ/iuw3ipwc+95tqtPnqllOoP\n3RuQlE5C4QDUZmwSI27Z0Z7pQXBTUJ+F/c9fMibuvgceZyDtca7SJIwSAIZzAdnAJZfyma202JVP\nbUjDH2xshvlZwJVAJ7s8BjwkIrcZYyaWP9kYcxdwF8Ctt95qNvC4lFI7ydF77bbX1Sm7QUmrAuki\n1bOP8VjzIHlT4ePmlcSxoVyPKDdCfNfVumWllFov3U19tXN2QlFl8nyt8sCofZ6fuWADkqPjJe47\nMsnfPnQaR2Ag7bMrF7DQiCimPZpxwg37CpTq4YYFy7CBAbMx5hFgT+e2iBwHbtUpGUqpTVU6ZQfb\nV6Zs4LzneiidpDl5krBwI3dnb+fxyj6G0h7ZwOXImQWu2p3XumWllHqmloyKC6CwH+ZPgOPbLz8H\nfmDnKketCzYgOTpe4q4HjxEnhsQY6q2ERpjwsqtHSPsOj55dwBGHYsbf8PK59Rwr91HgdmBERE4D\ndxpjPrher6+UUpeks1Cf+iq0qpAfhbEXQnYXpAf5WvVaPpZ+O3U34bo8hInNMCNmQ7MUSim1I3Rn\nlZPQBsKlkzar7PqQ22PnLI+98PwUjK565fseeJzPHJmgEcXkUx5D2YC5WouBlM/puRo37C9y1e78\npq3X6zkl4+1P8/jh9XovpZRaU2ehFhf8PNRm7WW+OGRmZpLJyUn+svQDfLe0wKHhLC88vAvXcSjV\nQ4oZX4NlpZS6XEuyyh5kd9ukRRLZLLOft9tbt6qLG5B0pmB0Z5UDT5irtzCJodKMeOEVQ9w8VuCJ\nqSqT5SYv2YSscjfd6U8p1X+O3mvr4uaOQyoH+18A9VnqJ77G1+U2vpH+IWbze4lKDc5VmsxUm6Q8\nT0fItbVL6MpADETGmFu39oiUUj2hO6scNaBWg9Lp8xuQZIYgjpZsQLI8q3z/YxNEsSHjO3iOgCMM\nZn1mayHX7i0QeB4vyfib3pStAbNSqn+sND6ueBD23AAYnvzOY9y/612cmW+QT8NLd+c4NVvXEXIr\ne5X2nCilLlpnA5LKJODYiUTigJex/SN7n9MuvYgXNyDpTMDoZJXzKZeFekgYJcwauGI4Q62V4IlQ\nqre2dDa+BsxKqf6wOD5uoGt8XBP2PZfpapNTZ8f51myOry7MMpQNePbeAcaGslw5ktcRckopdTm6\nR8XNH7flb45nG62jFgSdDUjqF5RedBwdL3HnPY8xuVDHGGhFCa4jDGV8fM/lln2FTW3uW40GzEqp\n/nD0XkgVoTLeHh9XhfQQ1bNHeax5kAIV/tl9Hc0wYbbaIuU5ABu2K1SPM8A/ikgM/El77KdSSp3X\nXX5RmYD6HDRLdvJFdhf4o2AMIEsa+pYHy3c9eIwzc3VMkhAbiJOETOCT9hxK9RaBV9jU5r7VaMCs\nlOp9E0dsg0mjBBjI74GrXgWlEzQnT5IUb+Ie/weZlv24lSaFtM8TUxUCz9W65ZV9nzHmjIjsAR4Q\nke8YYx7sfoJuNqXUDtXd1Oc4tj65dNpmkIOCnYgR5O3tFTYgARZnK993ZJxaK6YVxTgCg9mAtJ8m\nTgyIbHlWuZsGzEqp3tbJckRNu1uUONAo2wH4ozfz9dq1fHrwnUwsNClmhev2DnBytrYlXda9whhz\npv19SkQ+CdwGPLjsObrZlFI7TffOqa0KhA1YOGvL4IIcZIehMg1++oINSDo6WWUwzNZaiIEwTsin\nfNK+S+AKs82Im8cGtzyr3E0DZqVUbzt6L8ShDZAb8/ZSoJuidvKbHOcAH6+8liPzM4wW0tx6xTCF\njE8+7W9Jl3UvEJEc4Bhjyu2fXwv8+hYfllJqK3VnlU1iM8hJBIIdExfk7PMaZXuFb9kGJHA+q/yZ\nRydoRjG5wCNwHVxHGM2kMQZSvrvhW1xfLg2YlVK9qbOAf+svbMVtbgQO3gb1OerlWWaqIf9w4IeZ\ninfTmm8wW23RiCJMHS3DWNso8EkRAfsZ8VfGmPu29pCUUpuuu6GvdBKGrrJ1ynEE1SnI77Wj41ID\ntsFv94Wj4pZPwQg8Ya5mZyuX6xFX78kxX49wgGayOVtcXy4NmJVSvWdxYxIHELto1+dh/y0wehNH\nHz/GrJflodYBcinD88ZSzNVCHR93EYwxTwHP3erjUEptoe6GvvosNMtw6st2zXVc22CdGli6S9+y\nUXFwPqt8/2MThFFCNnDxHMGIMJT1MQi3HBrcFlMwno4GzEqp3nP0XttQMn8cMsPAHAR5qmeO8F25\nkqmpST7mvZVSLuTAUIZnjw5gQMfHKaXU0+nMU65O2xnKC6ftd/HAS0GQsbcbC6uOioPzWeVs4FKq\nhURxwlwt5PBwhkorwXNkW03BeDoaMCulekfnEuG3P2rHFWWHYegw7L+F6tlHqc6coTR8E58I/hVH\nWmO45SY3HSggIizUQx0fp5RSK1leflGfAyewNclhzQbGxQO2ubo7q7zKqLhOVtkkkA4cRFicrex5\nLi/YJrOVL4UGzEqp3tC5ROhnALGLeHUa9j0PBkb5rtQo7bqJTxbfyVRYxYkaFDM+T01XSfu67bVS\nSq2ou/yiNm3L2+qzdp5yagD8vecnYqQLF5VVHkh5lBsRrTAmrsCBwTSNKNl2s5UvhQbMSqnecPRe\n24k9f9Jusxq37AJ/7nFmWsLszDR/KS/mu/NzjOQCXnLVLsZLDR0fp5RSK1kyT9mzjdNzJ2xA7OVs\nc19mCNyUHR2HWbGhr6N7xz4MNMMYV6CY9ckELjcdKPZcVrmbBsxKqe2ts6g//HF7O12EgVHYdzPM\nPklz7ixfr13LJ/238mjrAIKh3IzIpz1uyBV1fJxSSnUsL70YebbdFTWs21plcWydcvEAVGfsFb3q\nORgcg9f/9gVBcsfR8RJ/8uAxTs/VMIkh6ezYl/bJ+naDqMBzey6r3E0DZqXU9rU4JD/f3pBkwS7s\no8+BwgHwczyU3MhnC+9gfKJM3GgwlPXIBi5Hzixw1e68lmEopRQsLb1oztsSixNfBEw7UM7Zq3gi\n0KyuOk+5W6de+R+OjFNtRoRRgiMwlAsIvDTJNtyx73JpwKyU2r6O3mtr6BbO2kH5raq9RDj7JDOR\nx+TkJH9ceg1PTs8wmA24cf8AjSihXI9ATM9mMpRSat10l164AQxfCXPHgfZYTscFP3t+nvLI6vOU\nu3XqlVtxwly1hQBRnJBL+aS87btj3+Vat4BZRD4EvAmYMsbc1L7v/wLeDLSAJ4F3G2Pm1+s9lVJ9\narEM4xM285HK24kYe26E0vHFMozvDb2NY5UijVbMTLXFzWNFdg+kKdVDihm/5xdopZS6bBNH4Osf\nhKf+yY7fbJUhMbYUQxybSc7vARPD2G1rzlPu1skq33dknForppjxCTwH33UopD2Sbb5j3+Vazwzz\nh4E/BP68674HgPcbYyIR+S3g/cAvruN7KqX6zWIZRsFmPurzdmj+nhtg8BCkCzyU3MiXdr2LM/N1\nCpkGzTihmPZ5YqpC4Lk6EUMptbN11tFz37NraX0OKpN28oUb2IyyF0ASP+3kCzgfJD96tsTpuTp7\nCylm21nlyTDmur15piuhzTJv8x37Lte6BczGmAdF5PCy++7vuvkV4IfX6/2UUn3q6L12ga9M2EW9\nsWDLMOaOMxOnmJyc5K6F13Jibpps4DGcC7hhX4HjM1WdiKGU2tmWTL5wbZAsrs0cezmIQyiO2QkY\na2xl3a1TelHM+MzVWizUW0yXmzgC6cClmPFpxfTMjn2XazNrmH8c+Pgmvp9SqtdMHIHvfMpmlUUg\ntwee9SoonVwsw3hq5Ec43RxkoRpSbkQ8e+8A+wYzZFOeTsRQSu08yydf7LoGmgu2Hrk5b7PKuREY\n2Ae12XYAHV906cX9j00QuA4Hh7Ocmq3jOeC7Qi5w8T0XB3p2tvKl2JSAWUR+BYiAv1zjOXcAdwAc\nOnRoMw5LKbWdTByBL/2+bexLIltj16rYLPPozTyU3MhXdr+bhXpIyiuD2DrlU7M1BtK+lmEopXae\n7skX9Vk73eLEF23CQRxID0HctEFzHNmxnGuUXnR0Z5UTY5ivNTk9V8cRcB2XvQMp6mHM8w/2d1a5\n24YHzCLyLmwz4KuNMWa15xlj7gLuArj11ltXfZ5Sqs8sXkL8lA2WHR9M1WaXHc82ooxcwxf911Jt\nhpyZr5NPebz4qmGmFppahqGU2nmWTL7wbPZ47phdP8W1a2eQtWPi6iX7O405uOpV8ML3PG2wfOc9\njzFTaZJPeczXQjAG3xWyvkPge9RaMYW01/OzlS/FhgbMIvI64H3AK40xtY18L6VUD+pu8GuUIAqB\nqt3uOqxCo0Q9TPh/5S38/VSOanOaPQPpxWkYI/m0lmEopXaG1TYR8puDAAAgAElEQVQdiRpQam86\n4riQH7U7oY690CYcgixc8xq4/s1rBspwPrM8U2kiGCZKDephjO867C0GxInh2j15Hp+sUMz6fZ9V\n7raeY+U+CtwOjIjIaeBO7FSMFPCAiAB8xRjzk+v1nkqpHtfd4AfgOJDdY4Plwy9nZmaSr08YvtXa\nT84vM1czzFabGAyleqhlGEqpnaG79KIxZwPl418AwQbKfga8LLguRM2LmnzRrbte2RioNiOMMfiu\nw0AmRcp18BwHYwxX7s7z7171rB0RJHdbzykZb1/h7g+u1+srpfrIkjnLLqRytgSjVbGXF+slqM8z\nOTnJo4UfZrzUIJf2eX4hxWw15NunFnjNDaM7JrOhlNrBJo7AP7wPqtPgpe1GTl76fEbZz1zypiPd\nOlnlfMql3IhohTGNKMF3HUYG7NbWs7WQm/cWdkTpxWp0pz+l1OZaLMMYaG93PW87up/1KtvgN/5t\n6nHCt8Zj/qj0Gp4sDzKUjTg8kuNZu3MkBsZLDS3DUEr1r+7yi/njdrqFG0CjbK/AOe265SQ6X3px\nEZuOdFueVc76NoPsCOwZSJHyHHIpv+82ILlcGjArpTbX0Xvtzn0LZ2xDSqtsO7nnT8Lem5nPHeau\n4I3MDVzDselpmmHCbHsXPxDKjZADg5mtPgullFpfF4yHu9Z+r85Aa8FOukgXbUa5VbYzlS+x9KJj\nSVa5HtGKYqYN7CukaMYJWd+lGffnBiSXSwNmpdTmWCzD+Bjg2IU+O2x38CudgPIEU/Ft/Nbsq3mo\nOUw8dY7Ac4iNoZDRXfyUUn3sgvFwFTjxBZtB9rO21yMO7eNuAAsxYC6p9AKWZZUTyAQOBptVLmR9\nsimPm/fkd8youEuhAbNSauN1PgyCLBix2ZGwBqM3QvEgpItMjdzGb9Z+iG8354mimFZsaAk8d2yQ\nuVpLx8cppfrP8p35cnuWjoejHSSnC1CZAj8N1XMwOAav/+2LzijD+axyLnBZqIeEUUJcgX3FNM0o\nIes7LDTCHTUq7lJowKyU2jhLPgwccNN24Y/rtgxj9hgEA9CY5z55C7nAJTYJrTghE3gU0h7z9ZAb\n9hd1fJxSqj8sL70YusqO1YxDW6omjg2Y86P2fgEaC5DfA6PPsX0fl1h+0ckqJ7EhE7gAOI5QTPvk\nUi43jxU1q/w0NGBWSm2M7kuMSQi1Bft919Ww9zUw9+RiGcZ98hb+9HtZhGk8R0CEQsoj5TmcqzS1\nDEMp1fsmjsDXPwhP/RNkhiGs24bnypdtkCwO+HlboyyOHQ+X3wMD+y958gXYQPkjXz7BF56YoZB2\nOVduIsC5KhwYTFMPbVa5VNes8sXQgFkptTGO3muDZcexHwwYW4sHUDwAQW6xDCOfcnFkmkojxnGE\n5x0sMl+PtDtbKdXblmeTkxi8DNTO2fnzqaLNJruBHRUXZC8cD3cJky86OuUXT01XCFzhXKVFpRmR\nCzx25QMygctNBzSrfCk0YFZKrb+JI7YMI2rYLImXth8U2WE7Fqk+v1iGMZByOVtqkE/51FoJQxmf\n+Zotw9DubKVUz1q+2UhYtzOUUwPgpWygHEcwfCW0apc9Hq5bd/mFIzC50CRwBdcRihmPVgwZT7PK\nl0MDZqXU+up8SCSx7fQGwMD+F8DCaRBhKk5zn7yFD7bLMPJpn6FcwHX7Bjg5U9MGP6VU71rSu9Ge\nlzx7zP4srg2c86M2kJ4/Bc3qZY+H69bJKhfSHrVmRD2MqTYjSHnsL6ZI+y5T5QaIaFb5MmjArJRa\nH90fEnEIJgET2Q+FYMAGyyPX8NS17+YPHk0zkPJwZIpyI6YWxly/d4D9g1nyKV8b/JRSvWWlRr7m\ngi2vWDjdrlEWGzxXp2xwbIy9fRnj4bp1Z5UBcoFLlBgEGMr4NGODiNAIY4qZQLPKl0kDZqXUM7d4\n6bFoPyTCJhDbOjwS2+mNwEvfy92PBAykWoyX6uRSPtVWwmDG58RsjVza1wY/pVTvWN7I16pCs7y0\nkc/L27I017FjNQevsL/bmIOrXgUvfM9lZZRh6QYklUZEM4yZMrAnH9CKDfmUnV0PMF+PePnVu3jH\nS67QYPkyaMCslHrmjt5rB+tXJmxm2XHshwcJHH451OeZitP85SMBf/cvZxAx5FM+Q9mA6/YOcHJW\nyzCUUj3igka+yGaMq1P26+ka+QbHYO/NcP2bn1GgvHwDksQYRGAw7TOQ8bm6vQFJNuVz+7P38Lqb\nRnVtfQY0YFZKXb4lu/e5kB6A3G6bYfHSUC9BfZ75uWk+HL6RymATR4wtw2jFXLd3gANDWfJpLcNQ\nSm1jy4Pk3ddDbdo2MVcnbcLAS4ET2P6N4atstnkdGvk6OkHyo2dLnJ6rc9VIllItJIrbG5AUUjTi\nhJzv6gYkG0ADZqXU5emUYfjp9u59CxBW4Krvt3NEOx8SmUHuab6Cshzi7HxjSRnGydkaeS3DUEpt\nZ0umXczbyT8nv2Sb9/wsiGcnAhUP2A2Z5k/ahud1aOTr6JReFDM+pXqLehjxteNzCNgJGGnd1nqj\nacCslLo03c19YLMq6QLEjXbX9wl7ubHd4Hf3+DCf/N4ZhGkGOtMwtAxj2xMRF/gGcMYY86atPh6l\nNt3ybasH9sHsU3baRZLYUgwvBYOH7Lg4HHBkXRr5uh0dL3HnPY8xU2lSSPucmqvZUXEi+K6QTXlk\nPN3WeqNpwKyUunjdmZaobschmchentz3XJh9AsoTkHkFTx36If7g0TS5oIlgqDZj6mHC9fva0zC0\nDGO7+1ngKFDY6gNRatMsKb04AcVD7axy17bVCORGoJWxV9MMNmiGdWnk69bJLM9UmjjA2fn64qi4\nfcU0UWJ4/sFBzSpvgnULmEXkQ8CbgCljzE3t+4aBjwOHgePA24wxc+v1nkqpTXb03vOTMKImCBAU\nbc1eYb+9PHn4FRy97n/nznseY7o8R2LAc+zg/MGMz4mZGrmUlmFsZyIyBrwR+A3g/9jiw1Fq43VP\nu0gXbUlFqwKVKRskO+1pF25n2oWBgb3nt61eh0a+bsub+irNCIzBcx2Gsz6NyBDGhkLa06zyJlnP\nDPOHgT8E/rzrvl8CPmuM+YCI/FL79i+u43sqpTbDYnPfx233d5CFzC5olmw5RqO0uHvfU4d+iLse\nPMa5coMoSmjFBoDnHiwyXwu1DKM3/C7wPmBgqw9EqQ3TnU2eP2HrkA1QnoTGrJ124aZs2YUX2C2t\n12Hb6qfTySqnPWexqa8RJfiuw64Bn5zvMl6yx1rM+ppV3iTrFjAbYx4UkcPL7n4rcHv75/8BfA4N\nmJXqLZ0yjCBnMy31OXuJ8vDLbSamq7mPW97J3Y8EpLwGUWJoxQmZwKOQ9ijVI27YX9QyjG1ORDpX\nCr8pIrev8bw7gDsADh06tElHp9QztNIGI/PHoTZj17VUsR0gZ+yIzMFDdurPOk67WE0nq/yZRycI\no4RcykUEHEcYLaRJeUI25TNbabF/KMuvveUGDZI30UbXMI8aY8bbP08Aoxv8fkqp9TRxBP7hfVAe\nt00ubmCbX9KD9r7c7sUO8KPmIPc9MsnfPHQajCHlObREKKQ9Up7DuUpTyzB6w8uAt4jIG4A0UBCR\nvzDGvKP7ScaYu4C7AG699Vaz+Yep1EVaHiSPXGt336vNQmXSlpT5WZtNTmIoHIBWzU67aCys67SL\n5ZaPijswmGau1sIkhvl6yKGhDLUwJu05NOOEG/YVKNVDLb/YApvW9GeMMSKy6qKq2QqltplOZnnh\nDMSR/SCJW3DgBbaxpd3cxy3v5Kg5yF0PHsN1AGNohAmxMTx3bJC5eshspcWufEoX+R5gjHk/8H6A\ndob5F5YHy0ptexfMTb7ObqzUKMHxL9gJF37WlpglCWSG7GZL8ychDu0kjHWedrFc96i4uVqLhXqL\n6XITR8D3HHalfQLf5fr9BW3q2wY2OmCeFJF9xphxEdkHTK32RM1WKLVNLI5S+pRt7AvrthQjM2g7\nwhvzMHrzYnPffY9Mcv9j38YYCFxhMBswV20x0P4QuGF/UTMiSqnNsXyr6qhhNxA5/gX7B7+fBXHB\nhJDK26tl1XOAsY18GzTtolt3Q1/gCKPFNCdn6/gO+K6Q8R1SnkfgCqV6i8AraFPfNrDRAfM9wI8B\nH2h/v3uD308p9Ux0ssqpvG3iiyOImxDk25csA/vh0tXcV8z4NMKYaiMiNnDj/gLPOVDgyemqNvj1\nOGPM57C9J0ptX8uzyXEIrg/V6fYufMV2kJzYhuX0oC3HcDw7DSO/Z8OmXSzXnVVuRQmlVsTp+YbN\nKrsuu/Ip6mGso+K2ofUcK/dRbIPfiIicBu7EBsqfEJH3ACeAt63X+yml1lH3gH4R2/Biu00gP2Y/\nbPy0DZZzI/DS93L3IwHFTEitFdGKEkRgMO3TjGL2FDKkfE8b/JRSG2N5kLzrGiidhtoc1M+db95z\nfBtADx+05RhuYOuTu4PkDZp2sVxnA5LpcgPPERbqIY5AynfIBS6u41BrxToqbptazykZb1/loVev\n13sopTZA92YkYc1+mJgI8vsgadkPmKgFo8+xmeVr383djwT83bfOkHKFwHMZygaUGxH5lEupHi5+\naYOfUmrdrNS8Vz5jr4ad+OLSuuSouXSr6qi5ZUHyYlPfbJ3ZWgvfgVoCrSghE7iM5AJaccK1e/I8\nPlnRUXHblO70p9RO1Z1Vdn3I7rI1fgIEBVuWsfu6JWPjOrv3FdItfEeYrYZAyG1XDjOY9fUSolJq\nfa0VJHc374kLRHbdygzB/ClW3Kp6E4Lkju7yi6lyg7lak3IjIuO7DOUCdg+kABARHHG4cneef/eq\nZ+m6uU1pwKzUTtSdVU4i28hXOgXpYdsMky7acUrtUUpPXftu7h4f5v7PTuA7IbmUR9p3QUKKaY9z\nlSZ7Cmm9hKiUWh9LmvcG7ZWvTvNed5BsQttjkSlCdcbWJW9S895qupv6XIHBbMDZ+QaBK+RSLlEC\n+ZRt6puthdw8NqjrZg/QgFmpnejovTZYJrFlGElkZ5CmC7D3OStmlYuZkDgxlGotzsw3ODic4eVX\nj3Bmvq7NfUqpy9PJIJdO2TUI7MjK+WPQagDG7rxXn+lq3msHyemi3XDE9aBZ3dTmvdV0ssoDaY9a\nM6IRxoyXmrgOZAOPA7mA6XKDlO/quM0eowGzUjvJ4hbXnwAvbbd7TQ/aD53ciB0ht2xA/90PPE4x\nE+K7QiOMiRNDyndwRTi0K0cxG2hzn1Lq4l0wI/l6u5Posc/bWmOkPQ5u4Xzznpu2s+B3XXk+SG5V\nt6QueSXdWWWTQDblEiV2Qm4+7ZL1XQxCuRGxZyCtG5D0IA2YldopOmUYftbOVa5O23rlAy+EA7fY\nDy+JlwzoPzpe4oHHJmmGEc3YkHKFlgi7sj7VVqTNfUqpi7NSkNxsj648/XV7lcvEYIBmCTLtnook\nsTvvdZr3tlGQDDZQ/siXT/CFJ2YYSLucKzcRYLoCo4UUzTAhn3JpalNfz9OAWamdoLPFdekskNhL\nn47TrlWet/V+y7Z97VxajJKESjMChCQRnjc2yPhCA8cYXfSVUmtbvpFIHNos8qmv2nIwr505bpZs\n47GfgbgB+ZF2894qO+9tYZDc0Vkjn5wq4zpwrtyi0ozIBR7DuYB8yuN5B/OLzdDa1NfbNGBWqt9N\nHIEv/T7MnbDNMCax2ZwDt16wxXUnq9y5tNgMEwRDlEAx45JPeYwvNLS5Tym11Gq1yKUTEIW21Ks2\nY7enThVsLXLcsuUWmUG7QVJuN9CeAx+HNtu8hc17q1lcIx+dIEoMM5Umad/Bc4WhjE8zNmR9h4VG\nqPOU+4gGzEr1q84H2GN328uYSWhLMXIj9sOra4trXvV+YGnDykI9JIwSEgPPHs0TGSjXQxCji79S\navVa5OMP2oAXB6K6DXY7tcjiQdiAoUPQTEEqB0agMAbNsn3dK15md+Dbwua95ZbMU56rMzaYZq7W\nIkkM9TDGd4X9Qxl8R5gqN6A9Kk6vwvUPDZiV6kedeuUktFkdHPtzasAGy11bXHPLOxd/7b4jk2QD\nlzNzdQAcx9YrxwZectUuSvWQYsbXxV+pnWqlILkxZwPk01+3dchJ1FWLPAxOYLPJhf22yXj+lH28\nsH/pVIv8XvsecXNblFx0dM9Tnq22WKi3+Jdys72dtbBnIEWlGZMkhkacUMwEmlXuQxowK9VPOh9m\nR++19YHpzvawHmT22QaaZVtcd5dh/M1DpxEMxUzA6ECKcjMicB1K9ZY2+Cm10ywvs6jNwMTDNgiO\n6naqzskv2e9+9nwtcmbYrjNR3f6cGba1yOLa3oltVou8mu7yNN8Rdg+kODVbw3cF3xXSnkPa90h5\ngrR/Z74e8fKrd/GOl1yhwXKf0YBZqX7RySqL2A82gy3F2H0D1M8BYj/Q2ltcdwfLdz14DGMMxhga\nYUIYN3nltbtxHdHd+5TaSVYss8jCU5+zf2in8lAeXzoXObFNwYu1yPndgGPLMzqTL7ZhLfJazmeV\nPephzFwr4sx8A0cg8Bx25VLUwpjnHxzk0bMLZFM+tz97D6+7aVTXyD6lAbNSvW5xi+tP2drAVN5u\ndY0D2UE75H/stiWbkXDLOzlqDnLfA48vNvdlA5ehbMBcLWQg7XHsXJUb9hf10qJS/WjVJr2TMHId\nVKfsH9wnv2yDXrBlXc2yXUM6ZRaDV0BzoR0c065Frtjnb8Na5KfTnVXGQD7tEUYJxkDGd8mlHEQc\nqq2YQtrTpr4dRANmpXrR8izQ0BU2q5wYe0l017NtJkdcqJcu2Ixksbkv5VKqhURxQqke8oIrBrl5\nrMATU1XdvU+pfrFWaUXhAEx/1c5Ddlz7R/fxB89vP90ps8jttrfj0NYdd+YiJ7EtseiBWuS1dM9T\nLnTNU54qN9md92lGDoW0p/OUdzANmJXqNZ3Si/SgDYqbFTj1NTsBww0guwfEwMEXrZlVdsRmTETO\nN/eV6hHX7ysSeJ7u3qdUL1t1gsU/202L0kO2NOvcd+0sZMc/X38sLpj2yLcgbzPL2RHwsra8K4m2\n5Vzky7V8nvJ0xc5TzgYug9mAQibg6j06T3mn04BZqV7S2YCkeg7SBZg9fn5Uk5+2Q/8db82scjHj\n04wSqo2QKIHRgYAwQZv7lOpFa5VW7L4OaufsRiGnv9aewR7b27VzNtDt3M4X243CBTtNpzpj15Qk\nttnj5oJ97YMvgYUzPVOLvJZO+cVnHp0g7p6n7AiDGZ9mnJAPXJ2nrAANmJXqHZ3McnXaZoDmT0NY\nsZnl4pitJxx74QVZ5U6wfOc9jzFTaRK4DpVGiAD5lEsu7XNNV/ZELzEqtU2tWVqxH6Yes9lfcW0Q\nfOyfbXZ4+QQLN7B1yZkh+/yoaa9YBXl7f3PZ9tPLyyxGX7Pta5FXs3ye8v72PGXTPU95MIPv6jxl\ntdSmBMwi8nPAT2BbAh4B3m2MaWzGeyvV8xab+v4eENuIYxJwPcjsgqjR/sArXJBVhvOXG2cqTUyS\nMNuIaLSb/AYzPmXNnii1PXSXUTRLdixkJ1BdzBpfbzO/T/2TDZhTBZstnj5qA+MlpRWODZQdz64P\ncdOOkwwGbGmF40NQhGjKZpC7m/R6vMxiJd1X2c5VmpRqLaZXmqfcnhak85RVtw0PmEXkAPAzwA3G\nmLqIfAL4UeDDG/3eSvW8TlY5NWA/0MImxA3bnJMdsRmhhbMs1hEuyyp3ur0dgVozIjGGwHMZyvl4\njqPZE6W2wlplFPl9UD4DOFA6a4Nnx7VBb9S0NcgYGwzHITRK9v/3xkDUgoEhO/84VbATc2qzNsDu\nTLBoVe37dUorkiYcfjlkd/VUk96l6F4LPYGhXIrTc3UCVwhcIe07pDydp6zWtlklGR6QEZEQyAJn\nN+l9lepN3Vllk7QvlSbgCKR3g5eB9ICtZR4cg9f/9pIPuO5MSiOMqTUj6mGC7zrsznhkfJfZWsjN\nY4OaPVFqvV1sprjThIex2d64ZWuNg5xtxKtOg2Azws1pmzVG7B/PudH21IqWnWBhkvZYyYK938TQ\nqvVtacXTWV56cfWeHNVmRDOM///27i1Gsvw+7Pv3d651qqqrbzPTc9/lksvLei2L9BAWRdOgJTOh\nFZl+yYMMUHASA/tiyFKiwBFtBLQe8hDAEEQkTpCFaTu6QEFCMQlFWKQUWxJFipzlLklJwx3T4u7s\nXHt2erq7qru6Tp3rPw//U9PVNT2zPZeu7qr+fYDB9r3OmZ35129+9btwq5PgOhD6LouNgK1U5ymr\nd7bvAbMx5qaI/HPgGhADv2eM+b39flylJtYgqxw0bfYoT+1M1OYp+yQXNOzHRhaQDPvKpbeZqXms\ndhPSvARgoRHQCFzqoc9aN2WxGWqwrNSj2i07XCTvnCm+/ec2S+wG9u/v9W/Zry8Lmx0elFEUKSSl\nzSpTghH7ClPes/8NmtDOob5gg+rBUiJ/xm7cOwKlFe9kOGHQiVP6WcHFN9cAm3Nohi5138WI0E10\nnrLam3GUZMwDfxd4F9AG/i8R+bQx5jdGvu4l4CWA8+fP7/dlKXX4DGeVy8w+MWLsKtlw1r68evzC\nrk19A4Osyhe/cwNHYKbms9gI2OjnzFYzRF841aITZ/rEoNTAXoLgpAOI/UfqjuwwdhrFnder3oLg\n/kxxb8V+XTAD3bdtYDzchOc41VhI3/69L1KYOWlLLqQKmP3IZo2z2Abjo1MrjkBpxV4MNzg3Ao+b\n7ZjQExwRXIEo9GgGrs5TVo9sHCUZfwu4YoxZARCRLwI/DuwImI0xLwMvA1y4cMGM4bqUOnj3LSB5\nDuI1KArb0NM6a58ggzr0N3Zt6hsYXXG9lZbEWclff88iNd/VKRhqOr1TsLtb4PuOJRLY91desX//\nHA+8ALp3wG/YYBhsXbAp4MofbW+6GwTEw5liU9rP+RFkW/a/flSVUxyzUy2i+WqjnmOvMY1t6ZUp\n788aH6HSir0YLb/YiDMCV3h7o08vzXHE4+Rsjbw090ovdJ6yelTjCJivAT8mInVsScZPAq+O4XGV\nOtyGF5DEgwUk37SZJseF2oINlE9/cE9Z5a9+/zZJXtAIPObqAWtbKa2ax431WFdcq8PlYTW+Dwp2\nHynjWwW7w29nfTtZxg1h/TqY71WBcGi33N14xf48GAqC69DftB+O5m3TXVnYLPAgOww28HXm7M/L\ntmyTXThjv37mpP28OPZnhDP255el3bI3aMIbDohb1UKQ+fMTuTVvnIbLL9a2UjbilPVeVq2x9jjW\nDOilJVlhtPRCPZFx1DBfFJEvAN8BcuC7VJlkpY6s4QUkft1mx7yaXUDihRBEVX3i/QtIhg2eLELP\nod1LKUvDZpzrimt1eN2+BN/4VZtBXXsDEBvA8qf2z/rCu2H1DcDYt9eqt+eeg/U3bBDqVrXAvTUb\nKN94BXBsYGuAq39syx8w29nf/sZ24BuvbzfT9e7eXyIBNkCV6mcY7N/Le012i3ZaTTRns8NgG+9g\nOyAOjM0Op7HdkLeXTLEGxHu2c/KFsNgMuL7Ww3eFyHfIS8N83Sf0HJY7fTBo6YV6ImOZkmGM+Szw\n2XE8llKH3iCzvHnbPhH3b9uslOPZBSR58sAFJAPDTxZFYaj5Dq4jOALz9YB2nPN+XXGtDqPLv2P/\n3N/+0+0Vy8MB7KD21wA3v7399vJr9u10azvwHZQ9jGZ8s9iWTsBQ4FtCiX28QWBdm7Hb7fzqH6hF\n32a7xbVf0DxhA2kBmksgvm2yM0DrnB3fBnD6QzYABs0U76P7J1806SU5/azgVqdvJ194LqdmI1a3\nEmqBx1o35fR8nV/+1AsaJKsnopv+lBqXwcvQl3/HPmmm1ZY+LwBvyQYCWf+BC0gGBlnlZuiyEWdk\neUlh4Px8jV5W4jmiK67V4dW5DtGszcJ6NfuPQsFOigjqNvD16vbjSQf85vbbQcuOSjPGZnKz2P4D\ns3Gsmj08s72sI1qw3zca+LZO279ngwB9vmqmM2YkCP6rNugd1C/HHfvzTv4obN66Pzv87Me239aA\n+KnbdfLFlVXbFy3QqCZfIMJWWnBipqYNzuqp0oBZqf00XKvZvmrrGXt37aioIrEBQ1SNh3rAApJh\ngw7wtzdijIE0L3EdYS7yCXyPD5xuaHOfOtxmz0Hchvl32cDVr9myBcHW8xep/fMP9u9IrWXfri/a\nSTFJfTvDXJoq42tg9vx2sHv2w9sZ390CX6+2txKJQRA83Cx48kfgA/9Mg+ExGX41LXCFc/N1rq3F\nuAIOgutAFHg0Q518ofaXBsxK7Zfhpr7ubTv9YutOlVUOYeYEIDar9oAFJMMuL3f43752hRvrPUxp\nKA0UZUkU+ESeQydOCbyWNrSoJyIiNeBrQIh9jvhCVVb3dHzg79i/F81TsPK6zRAPB7CnPrgd7O72\n9uNkfEcDXy2ROPQuL3f49W9e5es/XGW+7tPt55Sl4cZ6H0fAdYUTrVAnX6ix0YBZqadteJ6yODZb\n1rlhyyxc1zYOeX616vbhC0hgO8Pyu5eW6SU5WV7aWuVGSOg5FKXRFdfqaUqAnzDGdEXEB74uIr9r\njPnWU/npJ1+0f9Yv/46tH94tgN0t2NWM75ExKL94c6VLI3RZ76Xc7SZEvkvoO0S+S+C6OvlCjZUG\nzEo9Lbcvwbc/D2/+gc0q9+7al4w3b9kmoqBuX1ZOuntu6hs0t5yYCVnfShEgL0oaoe3+DlxhLcl1\nxbV6aowxBuhW7/rVr6c7G//kixrgqvsMl1+4AiubKa4DItuTL840QrJSSy/U+GnArNTTMCi/uPsf\n7bau7ts2a+w3bBbMrwPGznTdY1PfbOSz3rNzRVc2ExyBeujSqtUoDYS+qyuu1b4QERd4DXgP8C+M\nMRcP+JLUlBpNDjx3vEG3n5PkBZv9nHrgcqwZcmq2xt1uguMIjtHSCzV+GjAr9STulV982S4/6N21\n9ZiOC+EclKkNmPPUrs9dufzApr6dzS0OZ+cjrq/FeA4Erv90pbMAACAASURBVNAIPTzXsVnmUldc\nq/1jjCmAHxWROeD/FpEXjTGXhr9GRF4CXgI4f/78AVylmnTDyYF2L6WX5LxyZQ3BTr6Yi3ySoqTm\nu6R5yWwUaOmFOjAaMCv1qHass75q11f3Vm35xWCecuuMbezr3gHEll48pLFo+ImjLA3r/YQb6zGO\ngOe6HG+G9LJiR3OLvgyp9psxpi0ifwB8Erg08rmXqZZQXbhw4emWbKiptiM54AhLszWuVckBVwTf\nFWqBS8N36cQZAO0452PvWeTTH3lGzzx1IDRgVupR3Jt8MQvdZeit26BYHFuK0Txp5ytDNVN59oGl\nF3B/VvncQkQvLUjzEt8V6oFL4LlspYU2t6ixEJHjQFYFyxHwCeB/PODLUhNutPTivUtN4rSgnRXc\naNvJF47jcHwmJC3Ke8mBeujz8fed4JMvLumZpw6UBsxK7cXw5AtTzUru3KwmXwR20YLn23IMHPs9\n/XV47m/Ch//B3rLKic0qz0UeWWFXvRal0eYWNW6ngP+9qmN2gP/TGPPlA74mNcGGz7qNOCXJC771\n5hrGGByBmu9QD1xcxyHJS00OqENJA2alHmRH6cU1mDtvV/gWOWy9bUsvggbUF3ZOvgjq8Pwn7LzZ\nh8xU/uyXXme1m1APPNpxBsZUL0V6/LXnFvj+rU2MMdrcosbKGPNnwAcP+jrUdBg+65qhx812TOCK\nrVN2IPI9WjVPl46oQ08DZqVGDY+HixbsrNj+hp18IY5t6AtaVTa53NPki2GDbMvdzQRMyZ2NPnFW\nEHgOSzMBRVkSeJ5mV5RSE2m0/GIjzghc4Xanz1aSQ+hxYibEGPjgeV06oiaDBsxKDbs3Hu4v7Ci4\n3qqtVQ5nwalKLvwQvGhPky+GDdcr54WxTxwYfM9lNvIJPMF1HIwxml1RSk2k4fKLu92EjThlvZcR\n+S6N0GOxERBnJaVBSy/URNGAWSkYqVEuYWvFZoxFbKBc5rDwHKRbO5eO7HGl7uBJJPQc2r2UojD0\n85LAczgRedR8l7Vexo+cbekTh1Jq4gwnBByB+XrAjXVbfjFYOjJftwuXljt9MGjphZooGjCro+uB\n4+FKSDfBb8LMkt3a175u65QfofQCtp9Evvr922R5SSN0cUTAgVOzNXxXiEJfF5AopSbOfUtHjtXZ\n7OekWcHtToLr2AVLp+YiVrsJtcBjrZtyer7OL3/qBT3r1ETRgFkdLaONfMfeDxs3oLe2PR7OcaF+\nws5UdkM7FWPmFGAeqfRi8CRydq7Gei/FlIZ2nPHMQsRWWlDzHJJCF5AopSbP6EbSbpLxypV1+6Kc\nQCv0qPkOBmErKTgxU9OzTk20sQTM1baofwm8CBjgvzLGfHMcj63UPfdmKM9BvGbLK67+MRSZrVd2\nXVubPBgPF1d/Pd5hPNyw0SeRzX7Kd6/btda+67BY9/E9l796qqULSJRSE2e49MJ3hGPNkGurPXxX\ncB0h8ISa71H3HZ18oabKuDLMnwO+Yoz5z0UkAOpjelyldtYnOw40lmD9iq1NxrE1y+GMzRw/4ni4\nYffGJ20m1AKXW+2YyHfsqDjPoeZ7BI7QiVMCr6WNLkqpiXF5ucOvf/MqX//hKnORR7uXUpaGm9XS\nEc91WGoF9PNyx0ZSnXyhpsW+B8wiMgv8DeC/ADDGpEC634+r1I7xcMGMbeQzwMatqvTCg+ZxOxbO\ncR95PNywQWb5zkYfY0rubub0s4LQFU7P14l1rbVSakINzrc3Vrr4rrDSTWgPTb6oBw4iDnGmS0fU\n9BpHhvldwArwr0XkrwCvAT9vjNkaw2Oro2a4Rrn9ll1PXRY2WE464DcgrGYoOw7kGTRPwMzpPY+H\nG3avqe/SMv28ZCvJccQ2upzwQ7pJQU/XWiulJtBw03JRGtu45zs4IrRqHmlhWKj7WnqhjoRxBMwe\n8CHg54wxF0Xkc8AvAf/98BeJyEvASwDnz58fw2WpqTHayLf4HmhftY18/XU7Q9mPwDkGec8GxHlq\nG/4GQfIex8PBSFPfWszxmYDVrRQB0rykFrjMRXZ8UlHq+CSl1OQYPd+WZkPWt1KMMcRZgecKp2Zr\nhJ7Dnc0+iGjphToSxhEw3wBuGGMuVu9/ARsw72CMeRl4GeDChQtmDNelJtlokHz8/XZddb8DV//E\nzk3263bKRVlA64z9vu4dQB5phvKw4aa+O5sJ672Ela5t6qsFLidaNQAdn6SUmhijk33eu9TkdqfP\n2tD55nsOJwL7qhlAPyuYjQJ91UwdGfseMBtjbovIdRF5nzHmB8BPAq/v9+OqKXRfkPwBiNchi+Hq\nNyBPbJAsLpDbaRjRArSv2c8ZA7XZR65Php2d4a7AbBRwq22H8ruu0AhcXMfBFXRUnFJqYgwnATbi\nlDQvuHhljSQrqQcOniNV87JL6AlSfV87zvnYexb59Eee0TNOHQnjmpLxc8BvVhMy3gT+yzE9rpoG\nw8170YLNHhc5XL9oR8P5kW3mKwv7djRvyzEEOwFjrirxeYTxcHB/1uU9Jxp0+zlJXrDcSfAcoR54\nzDcCukmuTX1KqYkxnAQIXOGZxQbX1/sIBgyUxtAMfWbr/o7zrR76fPx9J/jki0t6vqkjZSwBszHm\ne8CFcTyWmjKD2cl3/8JmjLMerL9lx8CJC2UG0oTmIqRd8EJIezsb+ebOwskf2fN4ONiZdenEKf2s\n4OKba4Adyj9T86j7LiWw2c+1qU8pNRGGx8PN1326/RxjDDfWq/FwjrDYDOglOY4jer4pVdFNf+pw\nGp6djEBvxY6BAxsoZz2YPWcD5LBps8vNpZ3TLh6jRhmG5il3Exqhx831mNATHBFcB+qhR8N3q87w\nGe0MV0pNhEEi4M2VLo3QZW0r5W43IfJdQs+h5jsEnkdp4ESrxslWTc83pSoaMKvDY8dIuCvQOAm9\nu1AaSKuRcLU5u6Z6644NnFunn1qQPFx+sRFnBK7wdqdPL81xxOPkbI28NDqUXyk1UYbLLxyBO5sJ\nviOI2PrkvDScaQZkpdkxHk7PN6W2acCsDtbo3OTWWbuFL27D1t1qwYgL0SLksW3aM6bKNpsnCpIH\nhssv1rZSNuKU9aGh/IvNgDgtyQqjL00qpSbCaBLg2cU6G3FGlpd0k5x64HJ8psap2Rp3uwmO4+AY\no0GyUg+gAbMavx3TLq7C3DOw/qZt1NtaqZr36uD6diyc49hFI3HHfv8jNu89yHDWxRNbt3d9rYfv\nbmdd5ut2nvJyR+cpK6Umw2gSYLOf8e231nHE9mDM1336uSH0HNK81PFwSu2BBsxqfIanXYQtSDZt\nLXL3znaQLA7kfWgcs+8nm3D2w7D8pxDU4flPPFLz3qjdJl9sJTlJVnCr08d1IPRcTs1GrG4lOk9Z\nKTUxdiYBYKEZ3ksCeI4Qeg5h4FL3HDpxBuh4OKX2SgNm9fQNMsid6zZDDLB522aRsxjK0gbJ/TW7\nhc8NwSRQX4SgUQXQOfQ3oNYCN3is2cmjhrMu7V5KnOZ86801BJt1aYQudd8FEbbSghMzNZ2nrJQ6\n1EaTAM8dt+Mv07zgVifBdSDwXBYaAXFW6Hg4pR6TBszq6dhtqUjQgCt/ZJeGgP1vurG9qtqLbD3y\n3HkbJJvCBsnDI+GiOfvrQz/7xFnl33v9NoEjLM3WuLYW4zngis28RKE7NPmiqZ3hSqlDbzQJsJXk\nvHJlOwnQrLlEnk0C9NJCezCUegIaMKvHt1uQnLRtecXNV+1yEZPbpSJJxzbulZldJtI6YwPn9rXd\ng+QnbOSDkXmjkUenl9l5o+1+VcvncGw2JCtKnXyhlJoog/GXdzcTQs/h9kafyHdwRfBdoRZoEkCp\np0kDZvXoHrR57+ardnmIG9qgeRAkBxEUCTSPQzG/vara8eyIuKc07WLYIPPyxkqXwBVWuinrvZTI\nd4kCl3q1yjrNS826KKUmwo7yi7WYtV6K78JWAv2sIHSFU3MRSa5JAKWeNg2Y1d6MZpPLAoImJBvQ\nubG9eS9PwPGhNrMdJCO2BKNIbbb5MVdV78XgCeWr379NURpWuwk130FEaIYuWQHHGoFmXZRSE2G0\nRvn5E01utWNWewndfk7ku8zWfSLfYTMp6GeaBFBqP2jArB5sNEg+9j7oLkN/E7betpMuvLDavBfb\nJSKOZ4NlHDtTOdm0P+uZj0LSfexV1Q8zmnU5PhOwtpWCMcRZgecKS62QyHe5s9kHEc26KKUOveEa\n5U6ckuQFF6+skeYl9cBhJvRIy2o+vOuQlzr+Uqn9ogGzevBUi841WHiPzSDHbXjrj235hV8H8WyQ\nXD9mN/BtLtvM8ty57VrkubPQPGl/XpE89ZKLnePhmtyssi4r3QRHIPAcTgQh3aTAEaGfFTpvVCl1\n6O1oVHaFs/N1rq3FuAICGAytmk8r8rmz2Sf0dfylUvtNA+ajbLQWuXUGVl6xQTGO3azX/cbQjGQX\nTGrnIYct2LhlSy2MsUHyPtQi72a0M7yX5lx8c5WsMNQDB8cVIt/FdR1CV5Dq+3TeqFLqMNvRqFz3\n2OznlGXJjXXbqOy6wvGZkG4/AxE2+rmOv1RqTDRgPmruq0Uu7azjrAdX/sBu1BOvathbsFnjQb1y\nbRZ6q3Yu8j7XIu9mdCj/sZkaV9difAccEaCkFQW0ah6bSa7zRpVSE2OQCHhzpUs9cFnbyljtJkS+\nS813qfkOgeuSl4YTrRonWzXtwVBqjDRgnlYPK7MY1CInm3b+cThja5GLHEzflllkPRsg11rQXQHX\ng3Rr5/i3p1yL/CDDWZeZmstaN8VguNWxpRee63J8JqATpwBs9HNtelFKTYThRIAAK5sJviuICPXA\nIS8Nx5oB6UijsvZgKDVeGjBPkwctDxnUHotrA+EdtcjVx2pzNnAuMqgv2EDZFLbBbx9mJL+T0Rrl\nJC/AlNzdLNjoZ9QDl2boUfNdRIQkLzkxo1kXpdThN3q+PbtYZyPOyPKSbpLTCDyOzwScmq1xt5sg\n2qis1IHTgHlSjWaQe6tw+8/un4tcltWyELNdZjGoRfYjW2qxuWyDZRzo3bGj4oanWhxQkPzepSZv\nb/Rpb6WsxxkzoX1pcj7y6eclc5F/33g4fUJR6smIyDng14AlbPHVy8aYzx3sVU2P4R6MtV7KZj/j\n22+t2xplgYW6Tz83BJ6dE6+NykodDmMLmEXEBV4FbhpjfnpcjztVHpZB3lqBcA7itSoAbtnAeBAk\ne77NJIctmz3eumvLMAww94z9+WUCz34M6otPfarFOxlt5IuznG+9uT0+yXcgL+HkbIQj6Hg4pfZP\nDvyiMeY7IjIDvCYiv2+Mef2gL2yS7ezBEBZnAq6v9vBdwXOE0Heo+S6R59CJM0AblZU6TMaZYf55\n4DLQGuNjTq7h4DjpAAL9tg2S++u2dGI4g5wnUK7abPBg5FvrDBR9aByzwXNYlVkk3QOpRd7N8JOI\nK3B8qJFPAGMMjdBnLgq40YnJihJjjGZdlNonxphlYLl6e1NELgNnAA2YH9H94y8bbCU5SVZwq9PH\ndez4y4VGSJwV2qis1CE2loBZRM4C/xnwPwD/zTgecyKNZpCbp2Dzps0Cb96yNcdXvwF53759b/30\nQjW5orDZ4bAFnZt2iUjrnG3WgwMps9jN6JPI2fnavfq95aqRz3EcFpsBm3GG6wglcG4uAjTrotS4\niMizwAeBiwd7JZNndOlInOVcfHMNAEegEbpEVQ9GLy20UVmpQ25cGeZfBf4xMPOgLxCRl4CXAM6f\nPz+myzogD51g8X7YumPLJ25cBC8CL6gyyNV4tzIHERv0FonNIAczEN+1mWTXgZlTgNnX5SGPaseM\n0cijm+R0k5yVzSpIFpgJXULPPolkxc7xSacXIl44NatZF6XGQESawG8Dv2CM2djl80fnzH5El5c7\nfPZLr7O6mRAFLrfaMTXfwRHBFYhCj2bg3teDoY3KSh1e+x4wi8hPA3eMMa+JyMcf9HXGmJeBlwEu\nXLhg9vu6xuZhpRVBHa780faikCKBt762PcGiqJr1vNDORy5zaJ2EuGO/12DXTw8yyOc+Ahs3xzYX\neS9Gs8l5UeI6cGczYa1nG/kCzyF0HYKqfk8b+ZQ6WCLiY4Pl3zTGfHG3r5naM/sxjZ51nTjFd4Tu\nZk6cFXiusNSqkZfmXumF9mAoNTnGkWH+KPApEfkpoAa0ROQ3jDGfHsNjj8/DssY7SiuW7XSKa9+0\nJRRgPz46wcINqjFvKcyeg96azSDnGcycfPD66aVPHEgt8rDdpl3c2eizEaesbtkgOfRdAtehNHB2\nvk53aNGIPokodXBERIDPA5eNMb9y0NczCYbLL1a6CZ1eSjvOiHyXZs3juB+ylRRkhdHSC6Um1L4H\nzMaYzwCfAagyzP/tRAfLDwuMh6dWmNJuycsTWP+WDZK90NYfl7ktrUg6dkmIF9o11LVZCJuwtQp+\nDRD7Nf2OLcE4+aO2lvkA648fZDRIft9Sk/VeSpzunHbhOZAVhnMLNeaiguvtmE1dNKLUYfJR4GeB\nPxeR71Uf+yfGmH97gNd0KA03LTsC8/WAm+sxgSvUfYfcGOYjn8BzWC77YNDSC6UmlM5hfpiHzTpu\nnYGVV+zXuYHN7t54xWaLR+cel7mdWuHXtksrZpZsyUXjuP0Zfr2aYDGyTa9V1SLXZqtJFv/sUAfJ\nG3FKlpe8enWdXloQ+Q4ClMZQDzxmI5+bnT6lMbiOsDQT6pOIUoeIMebr2CE1ahej5967jzfo9u3k\ni9udBNeBmu9xei7ibjchDDzWuimn5+v88qde0PNNqQk11oDZGPOHwB+O8zH3ZK9Z460VO4Ui7cKV\nP6w25TnQv1kFxkNTKxzHllf4NTv3OK9KK7yqtKLIoXXaLgmBQzPBYq+GX4LciDOMMXzveptuUhB6\nQlFCXpR4NY9jTfs1nutg0GkXSqnJdN/kizTn4pU1BNu03Ao9It+hROgmBSdmarxwqkUnzvSVM6Um\n3NHLMD+0Ca8KjDHgDGeNjQ2G8wS6d6rpFBmYLZv5xQHXt28XCTQW7SzkaN5mjUsDZcc26w2XVhyi\nCRaP4l4HeDehGXosd/p4DhQlJHlB6HrMN3xqvkMUeKQ67UIpNcGGSy8CRzg9F3FtNcZ1wBXBd4Va\n4NLwdfKFUtNqegPmPTfh3bYTJwblFCa3y0CSW/dnjV1/e7RbntiscfO4zTqbYmhqRc8+3nDW+BCX\nVuzF8MuQV9d6tLcyap5wu5+z2c+oBy5zkY/vCs3QB2BpKEjWaRdKqUk0nFVO85JOmnOj3ccR8MTh\n5GxIWpTatKzUlJv8gPmdyin8qBrdVthFHkUK629VTXg122xXZttNeNECuJ4ttXADiOrbWePBrGO/\nDjUDvTs2IB4OjCc0a7ybHbV6azEn50KurvbYjHO20pyitB3gi25ALyvwPZfFZqhBslJqKgxeTVvZ\n6OM4wkac4QiEnkPdd/A8lyQvtWlZqSNgsgPm25fgT/4nm7UtS3jr328HxmW2XV4hTjW67c521jjr\nV0tBQtuE11i0AW590X5/tLB71ngw67hM4NmP2a+f8MB42GhDy7n5iGurW6z1Mla6CUVpaAQOnuvR\nzw3zdZ/AdVjubHeAa5CslJpUw2fg9bUeq1t2nnJpIC1KIt/lWDMg1dILpY6UyQ6YL/8O1Oagextu\nvmYDXwPEqzbgRWxTXeO4HfGW9bY35eUJzJ2DraoJbxAYZ7uUUxzCWcdP02iQ/NyxOjfWeqz1UlY2\nbZBcDxwccUjygsVmSM13ubPZJ/S1A1wpNR0G5RczNY+b7ZjVrZStJKce2FfPTnghxoCIaOmFUkfM\nZAfMnet2vFu/bZvw/IatM85jCFu2ia+d21nHYN83hf26Mp+aJrzHNbyqei7y2EpyemnBxSvbQbLr\nQJob5hsBjcDjzmaftDCkRa4d4EqpqTDc1GdKaIQuK5sJgSu4kUeWGyLfJXCFtV7Gj5yd0zNPqSNm\nsgPm2XMQt2H+GVh8ty2zAJh7xgbGWWwb/HYb3TbhTXiPa7QuuZ/nCHZV9Xq1qtp3HUpjaEUBMzWP\nlc0+RQkbfRskD9co68uQSqlJNPrK2jMLdTq9jLwoWelC4AmtKKBV86pX01zWuimLzVCDZaWOoMkO\nmD/wd2wNM8Di83D1G/btKW3Ce1yjTwxn52tcXe3R7mVs9PN7q6pDb7Cq2g7cB9jcJUjWlyGVUpNs\nePJFu5fS7We8enXdTr5whNmaT+AKhdlOFOiraUodbZMdMJ98EX7857anZDz7MfvxIxoYD7s/exJx\nfa3H+khd8uBJ4eTs9qrqwcB9DZKVUtNkdJ7yqbmIa2sxnmMD5dB3iHyXmudU85Rn9NU0pRQw6QEz\n2ID4iAbFo0aD5GcXd2/e8xwhyUvmGwHz9YDr7Zi8uH9VtQbJSqlpMZxVzvKSjaF5yq7jstQK6Oc6\nT1kptbvJD5iPqEFwfLMdE7hCeyvl0vImMzWXXtW8Nxwkuw4kuWG2HjAT2pq8orQ/S1dVK6Wm2b15\nypt9PMehMzRPuRG4uK5DnOk8ZaXUg2nAPEFGM8jvW2oSBS5/8sYqd7t9osAjyQrasW3eC1yHZKR5\nz5j7m/d0VbVSatqMNjivxymeQK8sSPOSKNB5ykqpvdOA+ZDbLUjeiDOKsuS719vkhaEoS/ICeknO\nfCOk5juAcHahzsqmnRyizXtKqaNiuPzibjeh3UvZ6GdEvst8I+D4jN0Kq/OUlVJ7pQHzITU8I3m+\n7pOXJUVR8t1rbbbSgtATO+otyVmo+9QDl7w0nJ6tsVXzuN6ONUhWSh0pw019viMsNAJurNuytUbg\nkpfQrF5903nKSqlHoQHzITKaTS6NoR64bPYzbrX7NEMX17Hb9gLXoxV5JHnJsUZALyhY28pI8lKb\n95RSR852VtmWpq2nOTfbfVwHar7L6bk6d7vb20l1nrJS6lFowHzARoPk5080ubPRp9vPWOmm92Yk\nuw70s5LTcwG+KzRDHwTOzNXoJgUG+PCzcyx3Em3eU0odGcNZZVegFfkkeYkxUA9cGoELInQTnaes\nlHp8+x4wi8g54NeAJcAALxtjPrffj3uYjQbJ7znR4Hanz0Y/5ZtvrpIXg/FvNkhebIbUA5e3NxIc\nx+H0XLCjYe94M0SApDB8/KQ27ymljoZBVrlV84jTgjjNWe4kLDR8ssJhtuZV85S1qU8p9WTGkWHO\ngV80xnxHRGaA10Tk940xr4/hsQ/ccHC80c9xMLTjnOeO1bnVjun0Ur71RkI+GP8mQkZJ5Hs0ax63\nNxJqvosxhqWWllkopdRwVtkRaIYeWTUnsxm6zEYB711q6jxlpdRTs+8BszFmGViu3t4UkcvAGWBq\nA+bRDPLJmYDbG3Ym8tsbfXzPGZmRLORlST3waEU+a1sJvucAOiNZKaWGDWeVe0lBnOXc7iQca/qk\nhUsrdOkmmc5TVko9VWOtYRaRZ4EPAhfH+bjjsNv4t06ckuYFr11rE/ouoeeQFobCFMzUfMrS0Ax9\nWpHH3W6C5zr00kJnJCul1C7uLSDZ6GOAXprjCLRqHq0o4PkT21llLb1QSj1NYwuYRaQJ/DbwC8aY\njV0+/xLwEsD58+fHdVlPZLcgeb2XkmQF335rnTgriHyHrDCUJqfuh/fGv52rZiQ7jtBNCh3/ppRS\nDzHILN9ajylNSVFCXpQ0Qp9WzWOzr1llpdT+GUvALCI+Nlj+TWPMF3f7GmPMy8DLABcuXDDjuK7H\nMRokv3epyd1uQi/NuXhljX5WUg8cihKyorRd2qFLXhhOzdVY20pZ28p0RrJSSu3B4Mz93UvL9JKc\nJC9xBGajgJofUhqgWkCiWWWl1H4Zx5QMAT4PXDbG/Mp+P97TNDiob7bt4Pv2Vsql5U3mIo84K+il\nBd98c5Ust7XIxkBRlniux3zdo5Y4RIGH7wibSUEnznFE+MunZ7i9kWqQrJRSDzHIKudFyfpWirCd\nVY4Cl8AVXUCilBqLcWSYPwr8LPDnIvK96mP/xBjzb8fw2I9stzKLKHD5kzdWudvt0wg83s4L2r2M\nmWqRSGlKQt9lJvTYiB1qgUdhYKm1nUE+OVujRJiNPF44Nct/pzXJSim1q8E5/NVLt+llOa2aT+A5\neK5wslajNBD6ri4gUUqNzTimZHwdkP1+nCfxoIa9rGrYK4qS0hjyArpJzlw9IPQcCgPn5mqs91JC\nzyUtDCdaWmahlFKPa5BVdgTWeikYQy8teP/JJne7mc0yl6UuIFFKjdWR3fT3wIa9fGfDXlHCRpKz\nWPeJfNuwd3o2ohflXG/HxFmptchKKfWE7s1W/v5tkrykEbr4riAizEUBWQEfOj+nUzCUUgfiyAXM\nl5c7/Po3r/L1H64yH3n085I4LfjWlTWSXRr25uoeaVGy2AiIgoK1rYy0KHEdYWlGF4kopdSTGmSV\n675DO04pCkMnznj38QYbcY4r0IlTAq+lUzCUUgdiagPm0YY9Ad7eTLi+1iPJCwS4001Y29quRR40\n7M0NNewBnJ6t0U0KDPDhZ+dY7iS6SEQppZ7Q8MY+Y6DmOzgiiAOL9QAR4UPPaFZZKXXwpipgfljD\nXpoXiAhJVrKZ5MyELqFvX/LLSsPpufBew1450rB3eiHieDNEgKQwfPykLhJRSk0vEflXwE8Dd4wx\nL+7HYwyyyrORRy/JidOCwsCZuRpJXhK4olllpdShMfEB84Ma9vKi5DvX2uRlSWkHdbKRZMxHHmHh\n3JtiMRf5XG/H2rCnlFLb/g3wPwO/th8/fLCx7+5mggj00gJHYC7yqfkuL56Z1ayyUupQmeiAeTtD\n4dOJbcPeq1fXidOC2lDD3kLVsJfkJceaIfN1w/V2TFEarUVWSqkRxpiviciz+/GzB+f2ymafoihJ\nckNWlDRDn2bgsqEb+5RSh9BEB8xfufQ2s5FPu5fy1t0evisUJaRFSc13mKv7pHnJsUYAItR8O/oN\n4NxcBKC1yEopNUZfufQ2giGrAuUo8Dg+E9pP6sY+KyXHnwAABiBJREFUpdQhNdEB8812zKnZGhtx\nRuA5CDDb8Ak9h3pYNezNbTfs/bXn5tnqF/fqkl84pbXISin1OETkJeAlgPPnz+/5+262Y6LAY67u\ns7ZlaNU8Qs/RjX1KqUNtogPmM3MRnTjj5GyNH3/3In9+cwMDnJx9cMOellwopdSTM8a8DLwMcOHC\nBbPX7xuc2x9+1wJJlvPDlZ5u7FNKHXoTHTB/8sUlXv7aFQBOzkYkWakNe0opdYgNzu3ZyGexWSPw\nPN3Yp5Q69CY6YP7AqVle+hvvujdvWYNkpZR6ciLyW8DHgWMicgP4rDHm80/jZ4+e22fmIq1XVkod\nehMdMIM9fPWgVUqpp8cY8/f28+frua2UmjTOQV+AUkoppZRSh5kGzEoppZRSSj2EBsxKKaWUUko9\nhAbMSimllFJKPYQYs+fxmWMjIivA1Uf8tmPA3X24nMNC72+y6f1Ntke5v2eMMcf382IOm8c8s0H/\n3Eyyab430PubdE/9zD6UAfPjEJFXjTEXDvo69ove32TT+5ts035/B2Xaf1+n+f6m+d5A72/S7cf9\naUmGUkoppZRSD6EBs1JKKaWUUg8xTQHzywd9AftM72+y6f1Ntmm/v4My7b+v03x/03xvoPc36Z76\n/U1NDbNSSimllFL7YZoyzEoppZRSSj11UxEwi8gnReQHIvJDEfmlg76eJyUi50TkD0TkdRH5voj8\nfPXxBRH5fRH5i+q/8wd9rY9LRFwR+a6IfLl6f5rubU5EviAi/0FELovIR6bs/v7r6s/lJRH5LRGp\nTfL9ici/EpE7InJp6GMPvB8R+Ux11vxARP7Tg7nqyaZn9mTSc3sy72/azmw4mHN74gNmEXGBfwH8\nbeAF4O+JyAsHe1VPLAd+0RjzAvBjwD+s7umXgH9njHke+HfV+5Pq54HLQ+9P0719DviKMeb9wF/B\n3udU3J+InAH+EXDBGPMi4AI/w2Tf378BPjnysV3vp/p7+DPAX6q+53+pziC1R3pmTzQ9tyfMlJ7Z\ncBDntjFmon8BHwG+OvT+Z4DPHPR1PeV7/H+BTwA/AE5VHzsF/OCgr+0x7+ds9Yf5J4AvVx+blnub\nBa5Q9QcMfXxa7u8McB1YADzgy8B/Mun3BzwLXHqn/1+j5wvwVeAjB339k/RLz+yDv77HvCc9tyfw\n/qb1zK6ue6zn9sRnmNn+wzBwo/rYVBCRZ4EPAheBJWPMcvWp28DSAV3Wk/pV4B8D5dDHpuXe3gWs\nAP+6eunyX4pIgym5P2PMTeCfA9eAZaBjjPk9puT+hjzofqb6vBmTqf49nNIzG/Tcnsj7O0JnNuzz\nuT0NAfPUEpEm8NvALxhjNoY/Z+w/kyZuxImI/DRwxxjz2oO+ZlLvreIBHwL+V2PMB4EtRl7qmuT7\nq2rC/i72CeY00BCRTw9/zSTf326m7X7U/pnGMxv03IbJvb+jeGbD/tzTNATMN4FzQ++frT420UTE\nxx68v2mM+WL14bdF5FT1+VPAnYO6vifwUeBTIvIW8H8APyEiv8F03BvYf7neMMZcrN7/AvYgnpb7\n+1vAFWPMijEmA74I/DjTc38DD7qfqTxvxmwqfw+n+MwGPbcn+f6OypkN+3xuT0PA/G3geRF5l4gE\n2MLuLx3wNT0RERHg88BlY8yvDH3qS8Dfr97++9g6uYlijPmMMeasMeZZ7P+rf2+M+TRTcG8Axpjb\nwHUReV/1oZ8EXmdK7g/7st6PiUi9+nP6k9jmmGm5v4EH3c+XgJ8RkVBE3gU8D7xyANc3yfTMnjB6\nbgOTe39H5cyG/T63D7po+2n8An4K+I/AG8A/PejreQr389exLyX8GfC96tdPAYvYpou/AP4/YOGg\nr/UJ7/PjbDePTM29AT8KvFr9//t/gPkpu79fBv4DcAn4dSCc5PsDfgtb25dhM03/4GH3A/zT6qz5\nAfC3D/r6J/GXntmT+0vP7YO/1se4t6k6s6t7Gvu5rZv+lFJKKaWUeohpKMlQSimllFJq32jArJRS\nSiml1ENowKyUUkoppdRDaMCslFJKKaXUQ2jArJRSSiml1ENowKyUUkoppdRDaMCslFJKKaXUQ2jA\nrJRSSiml1EP8/2TSvAtb/o41AAAAAElFTkSuQmCC\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# change starting points\n",
"s_base = delong_classes.solow(κ=1.0)\n",
"\n",
"s_alt = delong_classes.solow(κ=10.0)\n",
"\n",
"# reproduce plots\n",
"num_rows, num_cols = 3,2\n",
"fig, axes = plt.subplots(num_rows, num_cols, figsize=(12, 12))\n",
"for s in s_base, s_alt:\n",
" for i in range(num_rows):\n",
" for j in range(num_cols):\n",
" lb = f'initial κ = {s.initdata[\"κ\"]}'\n",
" axes[i,j].plot(s.generate_sequence(T, var = figcontents[i,j][0]),'o-', lw=2, alpha=0.5, label=lb)\n",
" axes[i,j].set(title=figcontents[i,j][1])\n",
"\n",
"# add steady state to capital output \n",
"axes[(0,0)].plot([s_base.steady_state()]*T, 'k-', label='steady state')\n",
"\n",
"# global legend\n",
"axes[(0,0)].legend(loc='upper center', bbox_to_anchor=(1.1,1.3),ncol=3)\n",
"\n",
"plt.suptitle('Solow Growth Model: Simulation Run', size = 20)\n",
"plt.show() "
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAiUAAAFpCAYAAABDH1hhAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(9, 6))\n",
"\n",
"# Plot time series for each economy\n",
"for s in s_base, s_alt:\n",
" lb = f'efficiency-of-labor series from initial state {s.initdata[\"κ\"]}'\n",
" ax.plot(s.generate_sequence(T, var='E'), 'o-', lw=2, alpha=0.5, label=lb)\n",
" \n",
"\n",
"ax.legend()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAiUAAAFpCAYAAABDH1hhAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nREREOoJCiYiIiHQEhRIRERHpCP8PsUsQCeIESLUAAAAASUVORK5CYII=\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(9, 6))\n",
"\n",
"# Plot time series for each economy\n",
"for s in s_base, s_alt:\n",
" lb = f'labor-force series from initial state {s.initdata[\"κ\"]}'\n",
" ax.plot(s.generate_sequence(T, var = 'L'), 'o-', lw=2, alpha=0.5, label=lb)\n",
" \n",
"ax.legend()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAhsAAAFpCAYAAAA1JerqAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRU5ErkJggg==\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(9, 6))\n",
"\n",
"# Plot time series for each economy\n",
"for s in s_base, s_alt:\n",
" lb = f'capital-stock series from initial state {s.initdata[\"κ\"]}'\n",
" ax.plot(s.generate_sequence(T, var = 'K'), 'o-', lw=2, alpha=0.5, label=lb)\n",
" \n",
"\n",
"ax.legend()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAhsAAAFpCAYAAAA1JerqAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nYII=\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(9, 6))\n",
"\n",
"# Plot time series for each economy\n",
"for s in s_base, s_alt:\n",
" lb = f'output series from initial state {s.initdata[\"κ\"]}'\n",
" ax.plot(s.generate_sequence(T, var = 'Y'), 'o-', lw=2, alpha=0.5, label=lb)\n",
" \n",
"\n",
"ax.legend()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAhUAAAFpCAYAAAAr7NpZAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nrkJggg==\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(9, 6))\n",
"\n",
"for s in s_base, s_alt:\n",
" lb = f'output-per-worker series from initial state {s.initdata[\"κ\"]}'\n",
" ax.plot(s.generate_sequence(T, var = 'y'), 'o-', lw=2, alpha=0.5, label=lb)\n",
"ax.legend()\n",
"\n",
"plt.show()"
]
}
],
"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": "3.7.4"
}
},
"nbformat": 4,
"nbformat_minor": 4
}