900 lines
1.7 MiB
900 lines
1.7 MiB
{
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"cells": [
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"# Introduction to Dynamical Systems\n",
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"### Reference Case Conviction Voting\n",
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"\n",
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"## A Brief Intro\n",
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"Dynamical Systems are mathematical structures which describe evolution over time. Historically they are analyzed in Continuous Time because they are used to design, test and control physical systems. Over recent decades they have also been used to design, test and control computer systems. They are powerful abstractions that have helped manage the relationships between physical and computational systems, and even social systems (as they are critical ingredients in stochastic dynamic general equilibrium models which are used in macroeconomics). Whether continuous or discrete, dynamical systems are traditional associated with real valued vectors, matrices and tensors. Moving away from real valued fields, we can define dynamical systems over arbitrary data structures to recover a broader family models including but not limited to agent based models. In the case of the conviction voting cadCAD model we have a Generalized Dynamical System whose state contains a network object encoding a range of relationships as well as both numerical and non-numerical information. For the purpose of this short explainer, we will zoom in specifically on the calculation of conviction itself, which we can understand a Discrete Linear Time Invariant (LTI) system. \n"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## Canonical Forms\n",
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"\n",
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"Canonical forms use $x_t$ for the state of the system, and $u_t$ to describe inputs from external systems.\n",
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"\n",
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"Continous-time Non-linear Dynamical System:\n",
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"\n",
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"$\\dot x_t = f(x_t, u_t)$\n",
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"\n",
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"Continuous-time Linear Time Invariant (LTI) Dynamical Systems:\n",
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"\n",
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"$\\dot x_t = A x_t + B u_t$\n",
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"\n",
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"Discrete-time Non-linear Dynamical System:\n",
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"\n",
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"$x_{k+1} = f(x_k, u_k)$\n",
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"\n",
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"Discrete-time Linear Time Invariant (LTI) Dynamical Systems:\n",
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"\n",
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"$x_{k+1} = A x_k + B u_k$\n",
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"\n",
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"For cases where the discrete time system can be embedded directly in a continuous time, the time indexes can be mapped directly:\n",
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"\n",
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"|**Time Index Mapping Table 1** |\n",
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"| ---: | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- |\n",
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"| **discrete-time** | $0$, | $1$, | ,$\\ldots$, | $k-1$, | $k$, | $k+1$, | $k+2$, | $\\ldots$|\n",
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"| **continuous-time** | $0$, |$\\Delta t$ | ,$\\ldots$, |$t-\\Delta t$, | $t$, | $t+\\Delta t$, |$t+2\\Delta t$, |$\\ldots$| \n",
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"\n",
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"For systems comprised of discrete events with strict ordering (eg state machines), we have any mapping that respects the order\n",
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"\n",
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"|**Time Index Mapping Table 2** |\n",
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"| ---: | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- |\n",
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"| **discrete-time** | $0$, | $1$, | ,$\\ldots$, | $k-1$, | $k$, | $k+1$, | $k+2$, | $\\ldots$|\n",
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"| **continuous-time** | $t_0$, |$t_1$ | ,$\\ldots$, |$t_{k-1}$, | $t_k$, | $t_{k+1}$, |$t_{k+2}$, |$\\ldots$| \n",
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"| **time delta** | | $t_1-t_0$ | ,$\\ldots$, | $t_{k-1} -t_{k-2}$, | $t_{k} -t_{k-1}$, | $t_{k+1} -t_{k}$, |$t_{k+2} - t_{k+1}$, |$\\ldots$| \n",
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"\n",
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"noting that the time deltas can be further denoted $\\Delta t_k =t_{k} -t_{k-1}$, such that $t_k = t_0+\\sum_{\\kappa =0}^{k-1} \\Delta t_k$ for all $k>0$.\n"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## Translating the Simplified Conviction Voting Example\n",
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"\n",
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"Suppose we start by only considering a single proposal and a single participant voting for that proposal. The conviction voting algorithm is **not** presented in canonical notion. In our case the state we are interested in is the conviction $y_t$ and the inputs from the external system are the actions of partipants staking a quantity of tokens $x_t$. Based on the notes above the canonical form would call conviction $x_k$ and the tokens staked $u_k$, but the table below includes the definitions that match the conviction voting documentation:\n",
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"\n",
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"$y_{t+1} = \\alpha y_t + x_t$\n",
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"\n",
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"| Term | Canonical Notation | Defintion| Alternative notation|\n",
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"| :--:| :--: | :--:| :--: |\n",
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"| Conviction | $x_k$ | the accumulated support for the proposal at epoch $k$ | $y_t$|\n",
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"| Support | $u_k$ | the number of tokens staked in support of the proposal at epoch $k$| $x_t $ |\n",
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"\n",
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"Expressed in the Canonical form we have:\n",
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"\n",
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"$x_{k+1} = A x_k + B u_k$\n",
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"\n",
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"with $A = \\alpha$ and $B=1$, yielding\n",
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"\n",
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"$x_{t+k} = \\alpha x_k + u_k$\n",
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"\n",
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"For ease of reading we will stick to the notation in the other conviction voting documentation for the rest of this note but we recommend using the translation to the canonical form when refering to literature on dynamical systems to learn more.\n"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## Properties via the Simplified Example\n",
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"\n",
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"A one dimension Discrete-time LTI systems with initial condition $y_0$\n",
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"\n",
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"$y_{t+1} = \\alpha y_t + x_t$\n",
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"\n",
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"which can also be expressed as\n",
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"\n",
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"$y_{t+1}-y_t=\\Delta y_t = -(1-\\alpha) y_t + x_t$\n",
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"\n",
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"and as\n",
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"\n",
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"$y_T = y_0 +\\sum_{t=0}^{T-1} \\Delta y_t = \\alpha^T y_0 + \\sum_{t=0}^{T-1} \\alpha^t \\bar x$ when $x_t = \\bar x$ is a constant, thanks to telescoping series. we can also project the eventual conviction for any constant $x$ as\n",
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"\n",
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"$\\hat y(x) = \\lim_{T\\rightarrow \\infty} \\left( \\alpha^T y_0+\\sum_{t=0}^{T-1} \\alpha^t x\\right) = \\frac{x}{1-\\alpha}$ using geometric series.\n",
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"\n",
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"The first most important property is \"stability\". This is an entire topic in its own right but let's suffice to observe that as long as $\\alpha \\in [0,1)$ then growth in $y_t$ is bounded. In particular, for any $x$ this system is stable around the equilibrium $\\hat y(x_t) = \\frac{x_t}{(1-\\alpha)}$, even if $y_t \\neq \\hat y(x_t)$. In this way, our algorithm is tracking the signal $y_t$ can be thought of tracking the signal $\\frac{x_t}{1-\\alpha}$ with some intertia muting the volatility.\n",
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"\n",
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"The equation $\\hat y(x) = \\frac{x}{(1-\\alpha)}$ tells us precisely that each token in a conviction voting system contributes at most $\\frac{1}{1-\\alpha}$ \"conviction\" toward passing the proposal.\n",
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"\n",
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"Clearly, this expression goes unstable when $\\alpha =1$, in which case our algorithm diverges. Consider the sum over time to see the instability:\n",
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"\n",
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"$\\lim_{T\\rightarrow \\infty} y_T \\ge \\lim_{T\\rightarrow \\infty} \\sum_{t=0}^{T-1} \\bar x = \\infty$\n",
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"\n",
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"for strictly positive values $x_t\\ge \\bar x >0$ as $T\\rightarrow \\infty$.\n",
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"\n",
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"So in conviction voting we require that $\\alpha\\in [0,1)$. Technically it is legal to set $\\alpha = 0$ at which point this system simply $y_{t+1} = x_t$ sets the conviction to the amount of tokens staked. Although, $x_t$ can still vary overtime, there is no accumulation. The choice of $\\alpha>0$ is made to create a \"leaky integrator\" which takes its name from a leaky bucket analogy.\n",
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"\n",
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"\n",
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"The leaky bucket analogy also helps us understand $\\alpha$ in terms of its relationshio to the \"half-life\" of the fluid in the bucket when we turn off the inflow. In this case there is some previously accumated conviction in our initial condition $y_0 >0$ but $x_t = 0$. In this case the dynamics are simply:\n",
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"\n",
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"$y_{t+1} = \\alpha y_t$ \n",
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"\n",
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"which is equivalent to \n",
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"\n",
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"$y_T = \\alpha^T y_0$\n",
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"\n",
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"The half-life of this system is defined by $T$ such that $y_T = y_0/2$ which satisfies the equation\n",
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"\n",
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"$\\frac{1}{2} = \\alpha^T$\n",
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"\n",
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"thus the Half life in epochs for a given $\\alpha$ is\n",
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"\n",
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"$T = \\log_\\alpha \\frac{1}{2} = -\\log_\\alpha 2$\n",
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"\n",
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"and conversely the $\\alpha$ which achieves a desired half-life $T$ is\n",
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"\n",
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"$\\alpha = 2^{-1/T} = \\frac{1}{\\sqrt[T]{2}}$\n",
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"\n",
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"Further note that the relationship between $T$ and $\\alpha$ is sensative to timescaling. Suppose we wanted a half-life of 3 days but our discrete time scale has 1 hour epochs, then we must use $T = 24 \\times 3 = 72$ in the above equation.\n"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 70,
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"metadata": {
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"tags": []
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},
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"outputs": [
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{
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"output_type": "stream",
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"name": "stdout",
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"text": "0.9057236642639067\n0.9958826236582974\n"
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}
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],
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"source": [
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"#consider a desired half life of 7 periods (day)\n",
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"# then alpha is given by\n",
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"alpha = 2**(-1/7)\n",
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"print(alpha)\n",
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"#note that if the implementation has epochs of such that there are 24 updates per period (day)\n",
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"#then the implementation alpha would be\n",
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"alpha = 2**(-1/(7*24))\n",
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"print(alpha)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 71,
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"metadata": {},
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"outputs": [],
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"source": [
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"import numpy as np\n",
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"import matplotlib.pyplot as plt\n",
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"\n",
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"alpha=.9\n",
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"\n",
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"time = np.arange(0,200,1)\n",
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"\n",
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"K = len(time)\n",
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"\n",
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"step_up = np.zeros(K)\n",
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"step_down = np.ones(K)\n",
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"noisy = np.random.rand(K)\n",
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"\n",
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"for k in range(K): \n",
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" if k>K/2:\n",
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" step_up[k]=1\n",
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" step_down[k]=0\n",
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"\n",
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"step_up_response = np.empty(K)\n",
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"step_up_response[0]=0\n",
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"\n",
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"step_down_response = np.empty(K)\n",
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"step_down_response[0]=0#1/(1-alpha)\n",
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"\n",
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"noisy_response = np.empty(K)\n",
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"noisy_response[0] = 0\n",
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"for k in range(K-1):\n",
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" step_up_response[k+1] = alpha*step_up_response[k] + step_up[k]\n",
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" step_down_response[k+1] = alpha*step_down_response[k] + step_down[k]\n",
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" noisy_response[k+1] = alpha*noisy_response[k] + noisy[k]"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 72,
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"metadata": {},
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"outputs": [
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{
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"output_type": "execute_result",
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"data": {
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"text/plain": "Text(0, 0.5, 'Conviction Accumulated')"
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},
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"metadata": {},
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"execution_count": 72
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},
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{
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"output_type": "display_data",
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"data": {
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\n"
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
}
|
|
}
|
|
],
|
|
"source": [
|
|
"fig, ax1 = plt.subplots()\n",
|
|
"\n",
|
|
"ax2 = ax1.twinx()\n",
|
|
"ax1.plot(time, step_up, 'b-')\n",
|
|
"ax2.plot(time, step_up_response, 'g-')\n",
|
|
"\n",
|
|
"ax1.set_xlabel('time')\n",
|
|
"ax1.set_ylabel('Tokens Staked', color='b')\n",
|
|
"ax2.set_ylabel('Conviction Accumulated', color='g')"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 73,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"output_type": "execute_result",
|
|
"data": {
|
|
"text/plain": "Text(0, 0.5, 'Conviction Accumulated')"
|
|
},
|
|
"metadata": {},
|
|
"execution_count": 73
|
|
},
|
|
{
|
|
"output_type": "display_data",
|
|
"data": {
|
|
"text/plain": "<Figure size 432x288 with 2 Axes>",
|
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\n"
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
}
|
|
}
|
|
],
|
|
"source": [
|
|
"fig, ax1 = plt.subplots()\n",
|
|
"\n",
|
|
"ax2 = ax1.twinx()\n",
|
|
"ax1.plot(time, step_down, 'b-')\n",
|
|
"ax2.plot(time, step_down_response, 'g-')\n",
|
|
"\n",
|
|
"ax1.set_xlabel('time')\n",
|
|
"ax1.set_ylabel('Tokens Staked', color='b')\n",
|
|
"ax2.set_ylabel('Conviction Accumulated', color='g')"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 74,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"output_type": "execute_result",
|
|
"data": {
|
|
"text/plain": "(0.0, 10.496160372376345)"
|
|
},
|
|
"metadata": {},
|
|
"execution_count": 74
|
|
},
|
|
{
|
|
"output_type": "display_data",
|
|
"data": {
|
|
"text/plain": "<Figure size 432x288 with 2 Axes>",
|
|
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lpZTAOiHERmAu8Gw5CpSPjLxSduNxVVGOGqVmR/Wz6XQAvr09txLOl1rulcDQXzGjcimjIBWGlNlkZFe+5VBGQbPpBkIZ6XX8RmDwIyNz321txZORPu5AK5DBREYVrIxiQohFxveb0w19AKSU24QQ3wVeBjqB+6WUQUc3vCL9fyxwNvBg+vurgIeBASWj54BZQohpwDaU3Hubtc7LwIXAY0KIccAcYEO5CpRIqAo3nzLSdpquqHVlpKfm9rPptJXX0ZH7ogRVRnYCQ39l0w2kMuruVte9vl7F9Mph0yUSbgWkj+9VXnsbk4zicdi9u7gEBjuhQ2+nnzMzyaGrS10fYfgNdv8oE7YyKgQuZTTQZORKfqlUMqrgmFFCSnmq149CiGZUXH8acAD4kxDiHVLK/5dvx7JFvhdAtIq7gPmyRe5If5+ASmTLi7LFjKSUCeB64D5gJXC7lHK5EOI6IcR16dW+BpwthHgJeAD4gpRyb7nKFFQZ6XXt5boDqiu1W++vpiazTqHKyE5g6OhQlXOhMaPBaNPpcelMm2737sxAn32VwNDR4c7uK5aMfvtbmD1b2VcafWHTQTYZuYinEGVUCPT5CZE9KKn5v7+RTGauC6hntdJTuwehTfdqYKOUco+UMo5SM2cXuI+pmojS2AXMDrJhWWd6lVLeDdxtLbvJ+LwduLicZTARNGak162tzV6uycir02sslqncXa22oDadWRnGYv0XMxrIBAabjI4cgfe8Ry27++6+ixmByqgbPtw7m86ueP1sul27VIW9cWPucfzQ3a2eQ1f5TJsuYjQXu7oyz6AuSzmVUWNj/yujVAqeew7OOCO3TA0Nmeekvj77PaykERgqWBnlw8vAmUKIepRNdyGwyH+THDwsWsV9wO9ROQJXAw8F2XDIjcBQjDKyyciljOJxtV9dubuUUSEJDFKqv0ik8JiR/RLcfz/83//lblPpymjVqkw6cSKRfU1LKYeOGxWrjMzf9X3cvDmzTj4y0v2WClFGkGtd+tl05nbFklFTU//HjO65B848U8Vm7TLV12dsSk1GlaiMBmsCg5TyGeAO4HlUdnOEdOJY4H20yOuBm4ATgBOBm2WL/FiQbYcUGQWNGel1NWybziubrqoqm4yKVUbm/qPR4MpIK7lEQpXr4EH1/Ze/hO9+132+laaM6uszymjr1lzLo1iyNNPqdV+jvkjt1vfFHBQz3zVMJLLvsb2dSUZmGe2kjnLbdKYy6i+bbs8e9d+ehkU/q/oZr6urXDKq4ASGvJBStkgp50opF0gp3ymlLLBjAKDI7J+yRX4KuE+0iqYgGw0pMuorZWS+BKZNZ5KRqw9EITadSUZBY0a6Eksk4OMfzwzEuX+/+8Xob2XkV5HpSk8ro5dfVmWxW5nFxo3MY7uUkV+nV7+YkYuMgsb38ikjWz25yMirwivEprv3Xrjyytxy9JdN9/jjMHOmui+6UeK6NiYZDQZlVEll6i+IVnEtSl39LL1oEvC3INuGZGTAjhnZy7XHb1YCtk2nPf5SExj0S1aIMtJZWMkk7NiRsTr273cTQaXadLW1mQrbVkbFkpF57c0RMvSo5a4sO5cyykdGdXX5lZEXGbmUUT4yyqeMmpvzK6MnnoC//CW3Ym9qyiWjciijlSvVs7p9e+Y5cCVrRKPq+kJlk1EpCQxSwte+Blu25F+3QvFR4BXAIQDZItei0r3zIiQjA15k1Fc2XSExI72uV8xo3z744hez578xlVFPT6ZFHFQZDaRNp6+jtuk0bGVULFmaxzaVkT5W0JiRl02ns+mamoonI1OR6PX8bLogqd1jx+ZXRl6xTR0zMi3OclT6pn0ahIy0W1CpZFSKMtq9G77yFbjzzr4tUz+iW7bI3tpNtIoYuYMdODGkyChfzMh88V3z2+hWtFcCg01GfWXTuZTR/ffDt76VmSvJVEY686yjQy2vFJvO7+XUx62u9iejvlBGZsxI2z5BO73aIzCY2+nKMh8Z2SM62GUMmsAQRBmNHp1/TDm78jRjRjrZopyVvj7+kSP5yai2VnWfiETc71gloJQEhsGa/GDgEdEq/gOoE63iIuBPwD+CbDikyKivbDqv1G4zm66U1G47gcGljGz7xIwZmVlebW2ZIYxc5ztQyuib34QHHsh818eNxbLJqBCbbutW72kmClFG9n0LooxA7SvINfQaRzBfNp1JYnruo3zKqLY2fwPDSxnpxo1X36y+gksZecWM6urUOUUilauMSklgqERyLRA3AHtQ2XgfAu6WLfLGIBuGZGQgaKdX8yWwbbq+iBkFUUY2Gdk2nS7/5s3uzC29ra2MTEumr+B6wb77Xfj97zPfvcioEGX0i1/AW97iLr8rZpTPpiskZgSlk5HfcECQS0b2eZnQ+62pyaxzxx3wpS95r+uy6SCbjMpp0x05knmu/ZRRpZNRKTadq64YZPiYbJE/ly3yzbJFXiVb5M9Fq/hEkA1DMjKQTxmZ/YxMZSSlv03nejjzKSP9knnFjMz+H9pKMW06vX+dxBCUjOxz7wu4KjJ7biF9zFgsY52Zy4OQUWenum5eg4pqmGSkR8woNZsOVLn7Sxnlq7R0GaurM+v84x9wyy2563rZdGZXgXJW+oXGjLRNV6lkVEoCw1GQifdux7L3BNmwrCMwVBpKjRm5lBGoSsLV6bWc/YzM/h/22HmmMtJTWwe16exy9gVcFUYikU1GQZWRH1Hq3zo7s4eOsY9tZtNFo6pyK7afkTRCs32tjPxiRvnIyLSWzWvo1SiB3PvkanwNtE1nxozM9/BoGYFhsNp0olVcgxp7dJpoFWb6RRPQFmQfQ4qMbGVkDzzppYxsm858OUERg51NV+5+RqYy0i1mV8xosCgjfW2qqoq36UwysuGVwBCJ5JKRX8zITmAwzykoGXmNlqE/19er/3pOI9d2JiG64FJG+cjI/u/qylBumy6fMvrQh1TH2Ntvd79jlYAhatM9CewARgP/YyxvB5YG2cGQJSMdG4kZV6CYTq+gyCgeV2Rgxoz6Qxklk5nK0hUzKoaM+vpFsFvV+tqbvexdymjMmMw6hZCROTupXQbItum0DVpINp1JBOZzUlenzq1UZeQabBfcJOZV4ZkxI/P5c5XNrjxdZFQJNl1VFVx+ufp+xx1Hp01XieQaBLJFbgY2A2cVu48hS0agKiCTjILGjOyEgM7OvhmbztXp1YwZmUrOpYz8YkaF2HTlVkb6PL1sOn0eM2fCs89mX4++UEY2GXnZdC5lZFfMPT3qnkipyKinp3QycikSKCxmVIxNZ5PwQNp0LjIyY4k6tbsSychPGbW1ZSbgdGEQKyMARKs4E/g/1Aze1ajZYo/IFjks37ZDKoHBjBlBbsXmqhjM5YXYdC4y0vusry+8n5Gd5ZbPptP70mN96YFX7fMdCJsuHxmdfz786ldw4YXZ5wLFk5GfMiqEjFwJDGPT/cv7KrU7FlMEZ1a2UHoCg/3c2vsaKJvO1c/IK2akYceMXM/3QMFLGf3hD6rf1/Ll3tsOVmVk4EfANcBaoA74AIqc8mJIkZGtjMxKATKVk17XXA75bTo7ZuRl0+kWtKt8els7ZmSXybTpbDKys7w08r3g5UpgsF8wfR5eZFRVBe99b8auMith8xroCefs34qJGflNIWGTgHk/e3oy03CXGjMyr0E0mkse5nnlixklk4rQzPKUEjOqBJvOj4zKVbZi4FJG+/bBJ9IJzrqB6MJgV0YAskWuA6KyRSZli/w1arbXvBjSZORSRtoKCDI2nV7XtOmC9DMqRhnZ5dUVU75sOhO2xTLQyqi7O7cVac7fo8tjVt76Ghw+rBTJP4y+3UGUUV1dbjZddXVpyqhQMsqnjKLRzH5KUUbmfvS6xcaM+sOmC9LPSEOTkev6DTRcnV6/8hU11I+93MZRoIw6RKuoBl4UreK/Rav4FNCQbyMIySgLZr+TIAkMZg/1Qsamy0dGrpiRXV6XMjIHSi1GGZU7gcFWRpAhBm2hmtmNWqmZ5KLP68ABta05743+zZXAoM9pxIjgNl3QTq/NzZkx9WIxN5mb+7CP9Y1vwMUX51dGXmTksqf0vS1GGfnFjMqpjA4e9B+3b7ApI/M9euopGJaOmgQho0GsjN6JihNdDxwBjgWu9N0ijSGVwBAkZqTJyHwY9ANvjk2XTKrKf+9eb5vOTxnZ87WYv7uy6SC7kjNjRvoF9koJts/DPN5AJjCAug4jR2bujQk/ZaT3ZRJVEGU0YkRmIrxUSh3Ty6ZzKSOzkaHJqLpajRN48snwne/kViTLl8OJJ6pxBGfOzN3fqlXw0kvZMaN8ZGTeS62CTGiijcXUPnSWXyrl3aVhoG06rRwgvzKKRiufjGwLtqFBPe9+RDPYlVE6qw7UTLGthWw7pMioVGVkjk1nKiMvm84vZqRHebbLp9d3xYy8lJGdEuyqjM1ymN8HwqbzU0Ym/JSR3pepgoLEjEaMUKSg749Wnq4OpaYyqq3NTHbnIqOPfUwt+/73cyubLVvUsm3b3GSUSKhlertoNENG+Ww6XQ6bjExlpM/FrCTNa91XNt2BA3DqqfDHP8Ipp3ivZ0Pve9eu3DLZ56NRycrIZdOZDd2j0aYTreIlfEbnli1yYb59DBkyMofsKTZmZKd257Ppio0ZFaqMzPIJkfltxAhVQdjnYX4fiAQGV5p1PO5NRq4EhkLJSK/f3Kz+HzmSIaNIJFupumJGdXWZERHM89BkZJbZVZGCf0KEOdpCLJZRNKa16yJM+7OGPjd9f814kU1GfWXTbdumbNOVK4sjI3N08SBkZJN1X8ezkkmleK+7zj8d24bLpkskssld48c/VnNhffvb2b8NQpvutaXuwJOMhOAf+DGd5HWlHrw/Yb5gZuKBvY5LGblezlQqeyDJIFNIFBMz8lJGLjLSLWr92/jx2WQ00AkM+vheykgf3y5PXysjfVxdYdtTZ7iUUX19ZioOc5DSIGSUz/bzUkZmjKe+Pv/UEyZsZWSTkb2u63+hqd2uSjgIXPvs75jRhg0wfXr2spdeUgPLTpkC73hH8H15KSPdmdu8PvfdpwjcJqPBpowMe65o+Cmj76b/vwkYD/y/9PdrgE2lHri/YQ7EOXy4+mzHbUwp7dfPSCsXnUqtySjoFBJeZOTqD6IrS/Mc9DH1cczAdyyWqYzHjVPxCK2QzAdc98voywSGf/9bHe/667OXl2rTFRoz8huBwSQjs8J2NT5sZWQu02UuRBn5kVEqlTlPM2aky9LQkD8l3IQZM9LreJGRl01nN770fr1Q7MgDroq3P7PpFi2C006DpUvh+OMzy3fuVP8LnUPLSxm5bLqeHndDaBAqIwBEq2gnI2KqgSoCdnr1JCMpeQRACL4mJecZP/1DCB4tobwDAn3Dq6oyFZKpGiB4Np0mi+pq9dfRkWnZB0ntLrafURBlZJLR+PHq/+jRuWRkbqNRagLDLbfAww/nkpHfsEjmcD+FJDDofRaqjOwkj0KUkXkMvTyV6hsygkwfGzNmpLcplIxsZWQeJ1/5vBpf9nFtFDuPj1+6uVnGcikjTTo7d7rJqND3wUX6ZkPXJiObtOx1BhNki2wyv4tW8Qbg9CDbBkntHiMEvQJWCKYBYwopYCXAJCOtjGwyMh+YIJ1eo1FVSR08mPk9yKjd9fWZ4X1cZbQJxlZGyWS2QrBtOl1Bjxun/mu/2/Xi9qVN19OT25HYPFaxyqgvbDq9vlkh5CMjlzIyKw597ELJyKsTrSYjVzZdQ4N3zKhUZWSTrx1vMsvRX8qoP206/czairpYMnKRslfMyCajwa6MbMgW+TfggiDrBklg+BTwsBBsSH+fiprBb1DBtLL8yEirmyAJDJGICojrhzbo2HRmK9usyIIqI7tS8lJGCxfCa18LCxbAM88EV0bFvghByciVwBDUpvNLYHBdH7sMpg1biDLSZORKIimHMrI7vTY0ZAf47ZjRX/6i+rG8+tWZ/QaNGblsOpuMgqR2F9uqL8am68vUbv182c+Nfq8LeR906ry9nWnTmcu9yGiwKiPRKt5kfI0Ap+KTe2AiLxlJyb1CMAuYm160SkocVU5lw1RGNTWqctGKRiNf5WR76NGoUh9bt2Z+D9rPCHLjDV6dXu0hiswK2I+MRoxQIxT85jfZ5TA/51NGy5bBm98MTzyh+gP5wSSj55+H555TQ/4Xq4yCJDAE7Wdkp7/bysjVr8wkD5dNp9frazLyUkZ+Nt3XvgYTJmSTkZ1N51XRuRpNWmXr74XYdP0ZM+pLMuoLZeSqN/TnIDbdUaCMrjA+J1D5Ba8PsmFeMhKCeuDTwBQpuVYIZgnBHCm5q5iSDhRMMoLctGfIPPBelZNLGY0dqypd/XvQfkaQGzdyJTCYlYKr5W+rKDObTleSJkGa52r+Zp6fee7Ll6ukhJdfDk5GUsKvfw233uomo1KUURCbzi+Bwe7IWaxNp0fqNvepy1yOmJGdTWeTkV2pmcMB6XUKiRl5kVElJTCY5fLaTxDo++GljAohIxex6OWFkNFgVUayRb632G2D2HS/BhaTmadiK/AnOPrIyHyBC1FGQW06lzLSMOfBydfPKKgy0tuZBGmfU74EBl2mIBlF+qWOxzOz37oIsC+VUaEJDMXadLYyqqnJkEMxMSMzG8wko0hEEZ2dTdfY6J3anUyqctmVWrHZdPrZLtSmKzaBwV6/vt6t3sqtjOznRnfCLVYZ2ffDK2bk1xAabBCtYhrwMVQ4p/eNli0yb1egIAkMM6Tkv4E4gJR0AsJ/k8qDGTMCb2XkVzmZvdlNZaRbyPmUkf7vUkb2g2uSRbExI1sZFWPT6XIFeSF1+bq71QtuWkPmMYNm05U7gcFUwi77Tae/u5SRSUDFKCNzug+9/MiRzDnbnV7zJTDYlZqtjEzSC2LTeSUw+FWSfdHPKBpV17oYm67YTq+F2nSpFFx0Edx/f+6+gigjcx2zf5m5zSC26f6Gsub+DzXjq/7LiyDKqEcI6kgHoYRgBgzumBGoJAZ7SB79AntVTvoFNbPpdMaa3rcQuX0gzAcsEsl0ujXJyD6eeUybJPKRka7g9XZBbTpXAkMhykivo+06m4zsTq+NjaUnMPRVzMjL69cp4HYCgx8Z6ftnK1KTjOrrM32dTGWk74er06teVxOVeW4uu2egbLpilFFdnbpvDQ25NrlZJo1yZNOZz01XV6axapNRZ6fqU3fGGWqAWxOud0eXbSjYdECXbJE/LGbDIMqoBbgXOFYIbgMeAD4fZOdCiEuEEKuFEOuEEDd4rHO+EOJFIcRyIcQjgUteIFw2nZ3AYCoj1wMSjWZ71VoZaehKyWsWykTCu9+QWb582XS2TWeqPlfMKKhN19fKSA/BZB9T73PkyOzhgMo5AoOtjGybLpHIKFzzOul92TadHxmZ52juz2X72WSkt3d1eoUMMdvZdPF4boPGbzggE31t0xXaqk8kMhmuDQ2ZczfRF2S0ZQt85jO5hOpSRuY4efazr89v377cY3g1avLFjOxnbxArox+IVtEiWsVZolWcrP+CbBhEGS1GjcJwJsqe+wTQlG8jIUQU+DFwESrO9JwQ4k4p5QpjnRHAT4BLpJQvCyHGOnfWB+iLmJF+Qf2UkV7PZW0kk96jhpstd3OcMlfMyFZGmmy8YkaF2nSuirQQZdTdnWltuqZm0OdhkpHZD0PDVkbRaC4Z6Zc5GvVPYMinjPQ6VVXZ10nvqxCbzj4fL2Wkl3kpI9um09eisbE0ZVQum66UBIbhw5Ut1tCQG/8yz0ejmNTuu+6C731PDWo7dWpmuStmpC06yCUj/d1Mtdfwa4R4xYz0OiYJD2JldDxqGokLAH13JAH6GgUho38Al0rJPwGEYB4qgWFBnu1OB9ZJKTeo7cQfUCl+K4x13gb8RUr5MoCUcnfOXvoIXjEjczh9r5iRnWZtxhtMZZSPjLTF4qeMamtVBRhUGdkqSttEUHg2XV8lMGhlBP4Two0cqTL19DJdQWvYIzA0NOSSEahKpK4u07r0U0Ze2XSQUWfmddL7sm06TWrmPs0y+1kvXV1qVAy9rBhlZJORXYEX0+m1VJvOa//5oMkI1HkePuzOZi11OCDd+LTXc9l0fmSky+YiI9e740qe0dDPczyeTUaDWBm9EZguW2SBgygFs+m+iRoCqEEITgHuAN4RYLtJwBbj+9b0MhOzgWYhxMNCiMVCiHe5diSE+KAQYpEQYlGiyLvkUkbxeK7KcMWMbJvOTmDQMCt/s9VWCBnV1OTGjOxpx/1iRi6lMxA2XTHKKF8Cgx65wj4XPYWH+d1GEGXk2rcuv47zFaKMNPIpI73cVEY6EcJWRuYwUOa5ubKyTGXklSzjKp+LjMpp0yWT6vwiEfXfTgJxPauuUbvzkZG25e3yuWw6TUam4tYoVBnZFrFJ7DZhHQXKaAkwopgNg3R6/acQVAH/Qtlzb5CStQH27cq4s3vixoBTgAuBOuApIcTTUso12WWQNwM3AzQ0NATqzWvDlcAAqrWkKwavTpB2Za9fgmhUVah6mVn5F6uM7NaTadN5xYy0sjMrHyhSGVUfpitRjRrjsLgEhqBk1NycGT07SAKDOcCsbaVpsrDnJrKPbV5fs/FhlstFRnaDwIxvlUpGet2urszQTa5+Rua1MO9lT0/2fvTvpjLy6qNkltUvZlSITVeMMqqtVfZjQ0OwcRSLiRnlIyOXMho3Lnd9P2XkSmCwGzD2e2CuM9DKKB06+QXK+ZLA+6SUTxWwi3HAKtEqnsNIdAuS2u03hcT/kU0ew4ANwMfSHf4+nmffW1FTzmocA2x3rLNXSnkEOCKEeBQ4AVhDH8OljEA9oBMnqs9ma9KljLRNZyqjSATGjFEPr23TuVK7vRIY7Ja7/s1c30sZeZFRocooEgE+dBI/kF3MWfpfvGPhO4omI/2Cu8jItOlAKQIXGdkJDOYAszYZ6ek8hg+HPXty9+eqEIIoI30e9jxXfamMzHXtmJEuoz6+y6bT18eljPT+/MiokJhRuTq9RqMZMgqqjPqKjFxj0+3cqaxUU41r+Ckjvz5DsVimoQru978ClNEPgHullFcJIaqB+nwbWGgp9sB+ymiR9X1xgft+DpglhJgGbAOuRsWITPwd+JEQIoZqip8B/G+BxwkEV8wIcuf78YsZuRIYINPx1bbpSlFG+rs+phDe/Yw0GZkVCBTez2j3kd0wah3dchjv/Os7OW/KeSSTk7PK44dilBEodRRUGblsKj2FB6jx2fbsUetpgjLXD2LTpVKZZ0CX31asxZJRKqX260VGdsxIV9RByMg+ppcyKiW126+SLCVmFI2qWXBnzFCjfSQSqszf/z5ce61aL6fhhPuZNnH//XDDDfD00xkystdzKaPduzN9CP1iRvYU7q77brocJtGa70YlkJEQYhhwHvAeACllD1BQ7Ee2yKIzov2mkLil2J2q7WVCCHE9cB8QBX4lpVwuhLgu/ftNUsqVQoh7gaWozItfSCmXlXJcL3gpI3sm1CAxI/1y6hdCx436KoHB/K6PUV2dnS1mjgah+zYJ4VZGQW26ZbvVpT+h5yM8V/Mt1u9bTyIxOaesel+33gpvf7s6jpSFKyNNFrpPUr4pJMwR0r1iRsOGZZaZZOQKIvspI329vWw6rwSGWAw47+v8Ze0MPjn5mt5rpfer92d2enUpI7PTq0lGusI076Vu0ft1enXdB/va6H32d2q3Psd//Uv9P+ssteyxx+CLX4T589V6LjKKx93JDBpLl8ILL6jGYiE23eHD6lkyGzr2eSaTqiGlnznzN/M4pjIykxRcysj+38+YDuwBfi2EOAElQD6Rdq4CoSzzGfXuXA2S+l/AfKBWL5cyM62EF6SUdwN3W8tusr5/B/hOvn2Virlz4cYbM8ThpYw0GbleXq08ksnsiel0ercdM9IvsPmAxWKZY+/ZkzmGnzLS+zaVUX19Zj4dsyJ3xYyC2nTLdy8HYHLXa3mu5ltsPrjZ06Z7/nl473uVlfHa12a/hOaAqX7KSFfIXmQUNIHBVkbmNvaxg9p0OntOl1+PrpFPGRHtgfO+zjcXj+Sj519FVbQqq1Gi9+dKYDDPWXd61WXU5SlWGfmRUaXYdPo6avVg22d2arc+ln5fXWXTZWlrK8ymO3w4k2bupYxAqSOTjMxGj0sZeZGR/VyXSRnFhBCm43VzOh7f+ztwMvAxKeUzQogfADcAXw56gHLPZ/Rr4KdAAngVcCvw26CFqxQsWABf/3qGjHQCw/798Pjj2XEgP5vOrJBsZWTaYi5lpF+6SZPUg67TmiE3FuFHRh0dqnKyrRxzfb2NuSwfGS3bvQzRNZJRXachEGw6sMkzm05XgLvTyfjmi+Vl09nkbI7RV2oCgy6fvq8uMjIr53xkpO+DLr/2+/PFjLYmlkCsmz2dO7hz9Z1ZZfUio1JtOl2J2gkMpjIqNGZkKiOX5exCsQkMup+YhiYjO2HHpYw0GXkdVy/zIyOXMjpyRMWw7LoAsr/bcSO979pad8xINzLAP2ZUJmWUkFKeavzdbP2+FdgqpXwm/f0OFDkVjb6ez6hOSh4QAiElm4GvCsFjlBCoqgRodXL77fDRj8JDDwXr9GpWSF7KKF9qtxBKqZlkZD7EkJ3AoPet19H9anR/JFOledt0kn/u/AUnHXkDYxrGuJXRnuXE9i0AqpnYNJHNBzczytGKg8w10L3QbTLy62ekrRXzXM1KxS5/kAQGvdxLGekKz4zpmLaseU46ZqTPRZclCBlt6Fbv8fCqkfx00U+5cv6VWZWSSax6mV8CgyZRm4xcfaHsZ7amxp3A4JUdZpORa5zFIP2MXBXpww/DCSdk4oQmksns57YQMorH3Vlqhw6pzERdlr17C0vt1srIRUa2MjJh2u329dDPn59NN5AxIynlTiHEFiHEHCnlalSW84p825koZT6jIMqoSwgiwFohuF4I3giUbaSE/kJtrXqIH0mH2w4e9FZG+sHQoynbZHTmmSr4OmZMZrlfzAhyycgvtRuyA58dHaoyszvg6vX0fzOxgamP8MONH+S3S3+bVSa9nZSSZbuXUX3gOBIJmDJiiq8yMu0PyH6xzE67XjGjWCw7c7AUZWTGjLQyskdh0BWeHQexlZGU2WSkj63nqspn063rehraJ/D26Z/mgY0PsPnAZqcy8ooZ2QOl6gZSMcooSGq3HgzWXK6PaZJRKcpo71644AI1rYgL5vMLmfenWGX005+q90vKzLI9ezJ92uzyuTq9amVkN0zN84TcIYGCKKMgZDRQqd2oEbdvE0IsBU5E9TMtBFcYf68B2umr+YyAT6LS+z4OfA1l1Tk7pw4mCKHUkbaZ4vHslrLL8oDs1rF+Ic47D9YaPa/y9TMC9bLcdptqgTU2eseM9DFcysgVv9L/zQoyGgUWKhLasH9DVpn0+tvbt3Ow+yAjDy4gWQdTR0zlqS1PcZxHzEiXT5ORSTp6oFZ7udlyrarKTuSIxz3ISKTomPpnWPEGqusTHD7/U6xp+zTJ5Oze9YLEjLQyykdGuuVvKyPbpvNKYFjb8QxsPYOTL7oQ+BJLdy0lmZwCqH3bNl0ikT39vHkfTfVmJzC4yEg/C0JktstHRq7PulGmE2MKJSO7Il2yRJXLNUyT3qfLprO7MniRkWm9AmzapAjQ7FS6ebN7BlbITrbRz4SpjPQ8UxpBlFFNjVsZBSWjgVBGAFLKF1FqprjtS5jPKIgymiolh6Vkq5S8V0quBCYXe8BKgrbqIFMReSkjs5KwlZGNfP2MAObNU//XrMkcH9z9jCBbGekEBlfMSL+YpuXVIzvguD8BsPHAxqwy6e10Jl3NobQyGj6FLYe20JM+aD4yMn83B6D1U0YmGbmUkRAQmXcnqaveAgtvY0fDfSRP+hlvveOtdCcyBwyawBCLZdt0fmRkx4y8EhjMDMa9HXvZ3r0Otp7JpNo5AKzau8qpjOwECQ1XzChoAoM+LwiujLxS0F39nfR+veBHRq7l5nGLjRnpho1ZfnNaEr1s/frMtl5kBOpaStn/MSNbVQ6gMioJolXcIlrFCON7s2gVvwqybRAy+mLAZYMO2tKBTC92r5iRfvhdyshGvn5GoJQRZKy6fNl0tk2nlZE+jk1GZmv90V1/h5p2RsYmeiojTUb1h48jmVTKKJFKcEhuzyqPhh8ZmcrIK2ZkKiOvbDoAjrtd/Z9zF5uq7oVkFS/ufJG7jmRClkESGIIqI11GL5vOjhlVV2fs0Ke3Pq0+bD2TetHMuIZxOWRkxwZtMnKRQDSaeS78Ykb6PPWxvFK7XQRkfnaRUZAWu1c/o0LJqFSbziQjfcwNG3LLqdHdnbm+nZ0ZQvKaziJozMgmFjtmVGn9jPoIC2WLPKC/yBa5HzgpyIaeZCQEl6ZHYZgkBD80/n6Dyqwb9Hjta+Ed71Cf/ZSRl03npYz8ppDQlcPMmWq9lSszv4F3AoNJkLZNZ1cekHlBD3Yd5CervgL7p3HWsKvZdGATUsocMlq8YzHHDjuW6sRoEglFRgCHxOas8mgEJaNSlFFnvJPUrDtBCph+H+u4G9ZczpvmXMVTPT/PrOfRz8hE0JiRTUZeNp3+XZ+DlJLvPPkdmqvGwrbTicdh7ui5rGpzk5Gu/IIoIx2/qa72jxnpc4Dgysj12ZyLqRAy6mtlZPar02XRsFO7zbKZsSG9zI+MuroyiRUdHcqig9KVUTH9jI4CMoqIVtGbpiJaxUiChYN8ldF21CgMXajOT/rvTlRgatDjK1+B735XfTYr/6A2nZ8yyhczqqmB6dO9lZGdPm7bdCYZmamxpjKSUvLuv72b7Uc2wV9vZWxsBl2JLnYe3ukko1MmntLbcpsyXMU5DkY2ZV0fDb8Ehnw2nUsZabIwce+6e6H6CDzzMag5zEG2wLpLOWns6XTINqg9QE2N26az4xOubDp9fYOQkVcCg/5/5+o7eXTzo7x/Risk6kgkFBmt3LOSRFL2nn8+MjLvo2nTgargXDEjP2XkyqYrt01n7r+nB1asyD2WiXw2Xb6YkZ1N51JGmmDs8mkrT5NRZ2cmRlRMNp3LpismZjRYbTrUrK5PilbxNdEq/hN4EvjvIBt6kpGULEmPwjAz/f93qJESHpcSx6hMgxO2HeNKYPCy6UqJGYGKG/nZdEIY485V97Cz/gF+u+S3dPdIqquzSc/u9FpVBY+9/Bh/X/13PnXCN+HlcxgdnQaoJAaTjA51H2JN2xpOmXBKb4U7ebgKC7ZHNmeVT8NURnpqbo2gCQymNWKWXeP2FbcjOkfBQ1+DRFoyrnsNxzbOUJ+b19PUFDxmZGaI2Y0PXS6vBAY7ZqTLrkn/xgdvZO7oubxp6gcAeslof9d+jsi9vWXQ18A1Cod5DaJRiNPBvtjy3memttZt07mUkX5m8w0H1Jc2nUsZrVyZvzOs2ZiCwsjIFTNyKSP7eBr6uphkFFQZjRqVm01nvseFxIxcykgGSoiuLMgWeStwJbALNZrDm2SL/G2Qbf1supuE4DgpiQvBcNTQ4LcCLwjBNX1Q7oqATUb6Bfay6YIqo3wxI1CjF2gV4UpgMF++VeeewbNzX827/vYuuhpW91aOtk2XrDoAb34LjNjEHSvuoDZWy9vnXAfAqIgaNGPjgY1ZZPTCjhcAOGVCRhnVVdUxrmEc7bGNveUxocvb06NakkFiRmanV9Om05WpeW12Ht7Jn1f8mbp1b4PuYVRvvoxjYifCwSkc05Amo5EZMtLH94sZ6XT3SCSzvllhF2LTmcpoddtqlu9ZzsdP/zi11bHe480drQKD+yOqxWEqI10Wv5hR5zlf4N5jT0VUqYtYPXwf9w57M/9v6f8LlMBQbDad/bwXGjMyK3tt0dnLTdiqWB/Tz6aLRIC6fXTXbey9V/r5cikjVzkhc/1Nmy6oMhozJphN5xUz8iMj83wGE0SrOBPYIlvkj2SL/D9gi2gVZwTZ1s+mO1dKlqc/vxdYIyXHo6Z8+HxJJa4geCkjL5uukJhRPjIySc9uccfjmf3v79xPx7AXGblPuaPdw1b0trLsBIbtNQ/BcX9i78Iv8ZeVf+E1M17DsJomAEZGlfW2cX82GS3esRiAUyaektVymzN6DoeqVEXqRUag1JEXGZnLvWw6FxndvPhm4qk4w1ZdD8CIh27h8+MeBGBibUYZNTZmx4x0lqGXMtLnbDYoXDadK5vOK4HhrjV3AXD57MuzbMA5o1RG3f7Y6t4ymGQUjXrHjFLRDhLzf0sy0kVixGp2Hd7F7svPY3PDHdzw7xvoSWRuQBBl5DUckJdNZ8eMirXpli9X18jsgGojn03nSUYXfZ4jV12g7t/pP+Ibe04jJVPObDoTfaWMxo4NlsAQJGbkunaDNG70U8AwRTmSXpYXfmRkVj8XAX8DkJKdzrUHKewWsDmfkdkZsFCbLp6Kk5TJ3u3BTUb6xTAfYv1dH/Ol3S8BMHabsoB6hq/orRxtZXSgSrUf9h97G9vat3HV/KsyRJqqZWLTRDYc2JBDRscMO4axDWOzWm4LxizgUN0yQObt+JcvZmS+hLYy0i3R3nmbkj38dNFPuXTmpdR3qv5E1TTSXKtqjCrZSIMcByMVGZk2XVWViqeZSsC+9rFYtjIKQkaxGIiIZM+JX4BxS9XvC36PHLmaf679JwvHLWTy8MlZZDR5+GRqY7UcjGWUkV0xeSmjddV/hlp1IRPNy7lp0U30DF/JzF1fYFv7NpbG/9q7jUlGXsrIi4zKbdO1tyu1aioFG0WT0bglyBGbELWHYPq/eDmxiBd3LMmy6fIpI5uM+koZldrPyC7nIIKQLRmDUbbIFH2QwHBACF4rBCcBrwDuBRCCGGoivKMCOo5g+tK2B12MTffigks5cO4Hs/Zjv3RmbMoVM9LrvrRLkVF925lMGT6FRHNGGW0Y/mu2Nv69d9226DI4PJZIso6qSBVXzL4iK4Ns2ohpOcpo0fZFnDLhlN7vukzHjzueRPQQDNvqmcAA2cpICLdNV10dXBk9tPEhdh7eyUdO+0gWgZiTDDbLGTByPXUNCdq727PIKDr1CVan7mHboW295QiqjPxiRnLEBtoX/jeccCsy1gFXvp3N51/A4y8/zuWzLs86h0QCopEos0fN5mBVrk2nicIeFVxvvzT2S9g/DSFj9IxYzjPbnqGu/Timrf8mM5pn8ETih73n5pfAoJ/RIDEjM8ZZChmZ6+i0abPhZcN+L+zUblfMSAgJo5Xi7GlaA6PVNf7HqnuySMA8po6/2uUDb2XkNwLDmDFqoGUztlNsPyOXxTlIldEG0So+LlpFVfrvE6h58PLCj4w+BFyPGij1k4YiuhD4Z0nFrTBUVeXGjCD75SrEpkvV7OPAiAeJj3+id3vIVUYydoTu8Y9y37r76OxRb4WLjJbtXkYsMYLIkUnMHzOf5EiljERVN0snfZy1Y7+dIaPIcth2BjPX/w9fOu9LDK8d3lshpVIwvXk6S3Yt4cmDfwSRpCOZSV6AbE97wdgF6sO4l/LadPqlbmzMboWbla2XMrLJaOmupQCcfezZvaRgp4IPlzNg5Do2zfo8z71qDH/c/1moOkJ7so2Dbzqfu4Zfxsz/m0lbR1vOtQ9i07n6GcVHvai+jFrN/sgaEJJ43XYSqYSTjABmjZxFe9U6wK2M9HXVwwPFYiod/2XxCCx5Fw1ds+gevoxntz3L8MOn090V4cOnfpjN8gkYsYlYzD+1W++zr2JGtk23ZYtSokuXuivUYsgoSGr3YXZBjZJAHY0vwcj1ANyz9p7edWybTk/mmM+mC6qMGhtzJ/grpJ/RUaqMrgPORs1htxU1R921QTb0y6ZbIyWXSMmJUvIbY/l9UvKZ0spbWTCnjLCzqyDXQ8+njA42PwxCkhy2HiJxEiNWs2rvqqwKcdnuZfy2cSGdV7+SS267hGfjvwHSZFTXxp66xzPKaPdLDOs8nmRCMH/MfOSoVURiSTrGPkQyepjDNatVuZJx2sRq2H0cU/d+mK+88iu9ZdbncUL8OlIdw/nJnqvh9B+x6mA6eWFirjI6bsxx6sPYZb42namMzDmEwE1GWhlp20K//PraLN+znPGN4xlZNzJLGZkjmg9PzoBhW3l59M+Jdo3jwc7vwQVf5t9b/g6RBMfvbaUr0cX96+/vPXczbdqVTbene2s2GYkUnT3xzDaj1LVi9Cr2SNUSn7H6R3zqzE9x5jFnZp2DvoYzR87kSPUGEMms4Wlsm06TUTQKa9rSw3LsOImGjuM4POZB2jrbGNV1Ol1dcNaxZ6nfxyynpsZfGeljFZra7RUzslvrW7aofa9bV5wy0mPjBbHpzPdtV2J17+c9zXdDJMlIMZ3ndj0Jtft7y2EeMwgZufoZ2eV2WeoaiYRSYNXV+fsZ+XV6tT8PFsgWuVu2yKtlixwrW+Q44P3A+UG2DTICw1EPszOh18yfhSij/SP/nV4hoVpsb3wnb//L23vJaM+RPZz9y7OJiw4id/yJ4TXD2ZFSaqCqCjjn2yw75VWI6o7eAUyHdy8gkYB5o+dDrJsjVZs4OOFvqpxV+0jV7mXtvrWkRBx2L8gdmy59HhsfPZvk/65nQmwezLyXFfvTyQsOZdRc10x11yQYu4x1c6/j649+vXefOvUcCicjk5Srq3OV0Yo9K3qJ0EVGPT0wPDFT7St6mOYH/sAJ0avhpF9x++pbqToylZnbb2RU3SjuXnc3kJ2xZSqS3vs95VG+3nEsD225p7dcXPhFnllwZu996Wl+MX1hNqipIlIRjt3zfr73mu8RjUSzymuSkYzEYfiWHJvORUaxmEFGbbOpO3wcqZiqHcfET6OrC+aNTo8lNWYFVfVHSCz8BYhk730Bf2XUl6nd+jp2dbljRvnIyLSLNYLEjHZqMuppYFfjvQCcHfk4KZmCWff0liOZzJDQqFHu8kFmHZcyMgdcNbfXQzSZ+4vHc0nHvucum+4oSmBAtIqoaBWXilZxK7AReGuQ7UIyItumM1vKrlZmkOGA9g9/gKquierL+Bdg/Ass2bmEOB1Eo/Dstmdp72nnKn5PatlVzBs9j90yk5TA+BeQkQRy1Gq2HtrKwe6DNPccTzwOc0aqaS/boss4MO7vVMVHAxAftrp3SB/2HJc1Np05+nIiAT1dUWZVvRImP8GSvc8yqWkS4xrH9Z6/+XLVH14Ac+6kbdrP+N5T3yOejPdem5oaRT5+ZGTaXLYyAlXpm8ooJVNZZORl0zUlVEbdqMQJxDeeyel8FGoP8vjWRxi560q6u6JcMvMS7l13LymZyurL4rTpzvgBAP/cdHvmuMc+yeFhzyMadxOJQHfzC9DTAJEUz7ffBQemUVfVO99kbzn19QFFRgCMXOebwNDYmCnbmrY1CCKwfzo1B9X9ro3VMlYuUKMF1DXTIMcjxq4kPv//weuuhVl3Zx3XVkaFJDAUYtPp61gsGZkVtUaQ1O4d8dUQr4PN55KIKrI+gXdzTN0sePUXoHk9/7P08+ytXtQ735iLjLyUkS6z3TA1P2tlZO4vkciofsju4lHICAz2fgcDRKs4T7SKm4BNwAeAi4HpskVeFWT7kIzIjRkFtelcyujlgy9zpG4Nozd9SC04/ncQTZCUSbqanycWy4wDNyl6IgBzR89nLyszD/E4pZJSI1f2ZtKNTBxPIgEzR6hW8WPym8Rrd3LMto8B0N20muW7l6tKbO9cpzLSZBSPw7TouVDTzv2b/95r0UG2MgKoPXS8yupKVrG/az8Pb3q499pUVakXvC+V0csHX+ZI/AjHjc1VRmYCw/D4POgexlmpz3LksGBC8mzYoa7n+LYr6eyEy2Zdxt6OvSzavihLGdnZdDs7tsLcvxORVTy47R8QSahjpQPk0cnPsPvIbhL122G1Gg1/c9eynOtsljeHjJrXO5WRfu6ylNG+NYwUUyFZQ9UBdR1OnnAy9bVVvZbcqNQ8GLOC5KTH1YLj/gSTnuG1D49jTduanCF9OmjrLWOhNp1rbi4NUxm5KtS+UEY6QSCLjHpWQ9ss2JtWiYcmUZ0awaen/B4ad8HH5vDbDd9h8+if0dSkVIwfGTU2ZroE6EFSwU1GumGj771NRrFY9nNQbMxoMCkj0Sq2At8CngDmyxZ5JdApW6THWO25yEtGQvAJIRgmBEIIfikEzwvBxcUXu/Jgx4xKSWB44mWVtNC07fXQPrHXMgDoHvOMIqM9y5jUNImmqhEAzG6eR0dkF9GG/RxM7oJGNa9FatQKXtz5IgCjksqmq48MhwNT2CKfZcS+C5n48icQqWq6Glbz0u6XGB2ZBYnaLGVkttL0Q39M8lwAupJdvRadXtd8uWoOLARg5LM/pKGqgT+v/HPvtYnFMmSkr58fGekKzVZGJhnpqc/zKaNYYjijfrmXsxvfQTwOh9sF4qFvcs2CaxjTcwZdXXDxjIsRCO5dd6+vMvr58zeDSPHK5Nc50NMGxz5Jsmo/NOwBQBz7dO99YJnhOOyZl5eMJjZNJJKshZHraKt+nvWdi3vXM+1CWxmNiaqU9uj+2UQSDbzi2FdkpayPSs1HjlrZmyTDnL/Dq29gf3w396y9JzspYOQ6Dn9oPMz9K4gUj6S+yZaDW4DSbbpSlZGpGsxraE63oWG+b9t7VkPbHNir+nKxZx7JJIxNnAJ3/wh2nsgxdTM5XLuaWAyuvRZe97rM9Bpm+UCVsb4+k02nGwdeysgmHPM3Uxm51LBJRuawRub1sPc7CPBnYBLKkrtCtIoGAk6qpxFEGb1PSg6hJNcYVAfYbxVY0IqGGTNyJTDYtoV+SFw23cq9KxEySuzgXMTeeRBJwoEpTBk2lfjYZ3qV0YKxC3ofZq12xNiVbO58qXdfiREreezlxzhuzHE0REdkWlm33c0Xhr3ESS/9G9EznNqOmRxuep7719/PjNi5veekYdt0ANVdx8L+qQBZZGQro6aX3wx//DO1yz7I5bMv56+r/koylXQqIyEyL7GGmRrtUkZ6bDl97OV70mTkUEZmAkMyCTFR1Tv8T1sbVG++lN9d+TvqaiN0dcHo+tHMHT2X53c8nxMzMsno3nX3EtlyLsd3fZiqSDXM+TuHa9aqFaRATnqa53c8r76/fA4cmqQ+B1BGERGhrmsGjFrDs9Ou5LZDH+pdL1LVw46Fn4am7ZkEhphkTdsaxqXJKN5dxcmLn+XL5305azigkcn5UHuI5LCNsP7VUHsIpj0MwONbHs9SN4npd6n45Zw74ZineDh6I79+Uc10l4+M7EF/g9h0pSoj/dnuK6aX9yR72N2zURFRW5qM2uaSSqWHAlr8Qbh5EQtHnEdH3RqiUfjBD+DKK3PLoY9RW5uZPTmIMqqqcpNRPmVkx4z0fR/syki2yE8AU4Hvoea8WwOMEa3iLaJVNAbZRxAySoepuQz4tZQsMZYdFfCy6bxiRvqFdCmjVXtX0dAzHRI1yD3peSK2nsnJ404nMe5ZIrEkK/esZMHYBb3HmTlcB6RXsrlLWXQ1u15BvHkZT7z8BOdNOS873XXPfCbXLOhtZdUensO+5n9zJH6EM+ve1XtOGrZNB2kC2HweQJZNZyujVE8trHwT8Z4IV867kt1HdvPbpb/tJaPmZtXXoqdHVTo6Nd1Oja6uhiPDXuBA1wF/ZbRnORObJjKidkTWfkybTg+sGo2SRUb6d1NBzBszj5V7V2Ypo1gMdg37J0xWGYvr9q0juu84RLyJ00dfCHP/zoH0qAnV2y4gOf5ZfvLcT6g/cAp0joS96fu611sZmZVXbcdMmHkfnTWb2J1YDUhFiOOfoH3B/8LC3/ZWSl2xnRzuOcz4qtm9+xnWPZ+mmqYsMhqRmJc5wCNfgc4RcGQ0Z414I49tfoxkSvaeb/exKsDP9AdgtuqV8cJOlRnosum8+tWZ62jkS2Do6irOpoPcwW71Ost3LydFUll0u48jIquJ7jqZZDK7j9uk2tn0VO+Cmkwv7FgM4okMo5pk5KmMxr/InWsznYzzKSOtgPT5mcrItunMSRbN62Eue+YZRaaVDtkipWyRD8oWeS2KmN4GvAEVQ8qLIGS0WAjuR5HRfULQBAzCUZO84ZXA4BUz0nApo1V7VzGsZ656qPZmyOiksWcgh29mZ9WTdCe7s5TR+NopRFO1yFEr2dixFNonENt+LvHha2jvae8lo3g884CaY9PVtKvW4fTm6cypPQdwzPRKtk3X0QE8/Sm+eu43Gd84vnddWxmZL86b5r2JV055JR+9+6PsFcupqlK96w8eVL9XV2fIqK4ue+y1WG0XWy8+m/985D89yaiqSvUx6k0pxx0z0llSXmRkjm49b/Q81u9bTzzV07svUX2ENQuvgVffQIfcx/6u/VS1zyQeh7PHXA4j17M+8k9IRala9TZk9WG2HNrClJXfVzvQ1tDeOTlkpK+1WUHVdsyEmLoQ3RyGxp0qbjVmkVrh2KdU5TftAXZXqTmRxlcrMuruzh61W6vC5rhKbBCJWth2Bvz9V/CX2zih8TXsOrKL5LD1qjN3vJPu8Y/AkdEwfAuc9EsgMx6hlzJyxUjBXxkV08+oGDK6e61K1mDjBdAxhncdXE10+btIJjODpAJMrFb3qbtxTWYfVQlurTmdz93/ud7ygSqjpzJ67XVc/9A1tHe3956fqYxcqsnVANTKyHynNOl5ZdPddpuaSfqTnxx0SikuW+Q/ZIt8G3BskG2CkNH7gRuA06SkA6hGWXVHDfJ1erVTuzVsZZRMJVnTtoZh8Tlq261nQioKGy/glLFnA/B49Y0AWWQkU1GGxeeSaF7JhiNLYdfxiD3ze/d77uRzczoC6tZXKgXVhxTpvWvhu4jFRO85abhsuo4OYOeJfOHs7HkSbWWkP8fjEIvE+P2Vv6exupFnRn7cl4xqa1UZDzc/BdXt9IxYjox18ejmR7Nsuqpqyb7TPgMLf0uH3MeSnUs4d/K5vccvhIw0MZgKYt7oeSRlko7adb33q33K7aSq2mHsMvYklR1XfViR0ZmjLgVgubwD9k8jtfGVALz7hHcz4pAiehZ/iE8v/BZ0jsoho0gke3RvvW+A2q6pasGoNSrDbdRz6vsxT3Gk6UV496u5s/pqACamycgcMFdnb3V1QXViLKKrmbr9p0OyGla9EdZfzKxqVcbkJKX6Ht38KDLWBY9+WW3cuJuG1AQ2H9zM/s79gWJGrvEFNcph0+l7bo8vqNf559p/MrvhNDisGlEjmEosEs1RRhPS17DLIKPUwlvYHVvMvzb8q7fckLHpbGW0K7USjnmGnlQ3/1yrVKXLijOvh/2bXz8jOyPPvHYdHfC+92VnoQ5GyBbZmX+tAGQkJSnUcODzheA84DhgREmlqzBUV+fv9OoiI1sZbT64me5kNyPic9ULvP1UJt56AHYt5MTRZ8DKN7Al8hgCwbzR87Iq16aueXRNeID1h5fAroXIPcqGmdE8g0nDJuWQkTk2Xf2uCxnT/mo+cPIHsrLUNPRUFPnSZSFXGdl9IiY0TeAdx7+DPXVPEK3uYfhw9UK3t2eTUU0NRMau4tCbz4ZXfIfO4Wr45hd3vki3PNx77ocm/474qd+D87/KS+0PIZFcMO2C3uPr9eyWqG4geCkj06YD6GhY2Xuu+6f9PL3iQdZ0P6o+digymlA7HfbOUTZQ2xziu2Yw/l/38aPLfpS537sW8uHjv9A74Z0Nu6Nk3YGTQQqmbfiGWjBKxTG6Ri6CZBU07mZR7beUEqOB+qp6Rlcf23uuutzm1OOppKDx8e8zYXVr1rHHRecxsm5kLxndu+5eRLIGnv8AHFT7PLHjs733wiubLigZlaOfkf7sIqM9R/bw9NanOaP5tb3LI5HMu2CS0djYDJAROutXE0/G2bB/A11nqhmCV+xZQU+yp/c5sRMYtDJ68sgtkIoyonpUVvKOX8wonzIy3yn72pjX9/Bhtc441eti0JJRUATJpvs2Kl3vS8Dn0n+fLXO5+hVBYkYum86uyFfvVXGG5uTcTF+ESGN6XwL+cTMNjGXGyBk0VDdkPcxT9n6Qxh2X85oJ74QX3k9yl1I75045t7eMZjDUJCPRfgznbfpXL2np303oWJfeXvftsc/BSxklEpkU27OPPZtUpJv46Od7p2zYsyddMVcfhvecT3L6PaRO/bH6cerDdDQqMkrKJN2jnlNxm8O72Djv49DdCCM38Met36WhqoHTJp3We3w/ZRSJZMho3z43GemRszsbVhGLqUqoY9RT1G9RKdqLO/6GQFDbOT0zHNBapY5om00iAcP3XkxjdWNOQ+SYY2DyZHJgV7x1+06H/97DqB1XE6MGRq3hYE8b8caNsPwtACzjj7DxAj4cWcz977ifqpg6mJlxZSqjZBIa1r2LEfvPBzIdkFPJiBoNYtIzRCLwzLZnqN9/OsTrYeUbieydz8yOdwCKjLz6GRVq05kjp/eVMnLZdPesuweJ5MyRbjIybTqRqqH6yFTaG1/ghJtOYMYPZ5Bq3Ma8I9cRT8VZuWcl3d0ZxTJ2rBpR4sgRpYySqSSPH/otrL2Miya9hbvX3k1HvKNXGdn1hP5cSMyoujqXjPS91O+oJsYhT0aoANQcKblMSq5I/72uzOXqV+SLGXnZdLYyWrVXDRHTnMqQUdbozx1jeF/s3/z2jb8Fslv6zQfPZ8aiP9Nywm9g71wSHY1MXnwrN557Y++6LptOP+xmpph5XA29bpZN5zgHr5iReT1eMfkV6pzGPkHTsBQM38zmriVUVUvWV/8Fpj7CrrPfQfw41apk0rMcaHyW6P65CATd456gqgpuWXILiap9cNs9kIyx/ODTnDvlXKqjmcKbCQzm9dKtd02GqVRuAoOU0FDdwOThk+luUsro3xv+DcCwRf8JwLqupzhm2DHURGsNMrpM7SgdG7Kvrb5uK1fCRz9KDuyKN5kEOkeRSkYYKWfBqDU8vzMdL3rxPYqMAZa/mdGxabxi8it6j+ll09mjcutAeDwOJ4w9EUavIhXp4qXdL1F/6AT14/3/w8g7FlEdH8vEpom8sPOFPrPpOjuzsyU1iun06mfT3bf+PsY3jmd200lZy01lZGaoVbfPYdfwu1i5dyXfvei7jP3bs8w7+AlAkXFXV+a6Ljj5MGt37GDPXkljI/zqhV+xL7Ednv8Arxp7FR3xDu5dd6+vMnLZdH4xI5cy0u6Cfkc1GdnjQ1YiRKuYLVrFz0WruF+0igf1X5Btg5DRBqAq71qDGPZwQH79jPyU0aq9qxhdP5p6RmXZaZB5kI6pOt45jpl+wM1+B2O2v7O306QmCZdNZ5bPSxm5yMiVDeiljMxzGN84nrqu6XSMepKf778GPjWVFa88kfYF/8tL4jZon4CMdkN1Ozz2RYh1s6/+aWLbzuO4sccRn/AEsRg8tOkhGjvnq3TpDRcBcOG0C7PKEzRmZJ6zrly09Tpv9Dy6h60kFoPndzxPVfd4xO6F0D4eiWTmyJm9A2KmUsDGC3hb8w9g2dVZ+7UbInruJBtOMkLtu1nOhtFrWLwjTUbbToNtZxAhCqvemEN8LjLSFb+LjBIJWDB2IUQTrIvczeGewzQcWZguQIyaqJoS/cTxJ2bZdGY/MPt533rCh+G0nwAQr97Nvs7M9Kb6mdDjuenhc1Ip9d9V4Zrws+ns9aNR9Y6dOP5EotFMQq9t0+mhfZJJqDqk4kbvOfE9fObsz1B/4DTqu2ZRG63j899bwpYtmet6V8Mb4bMTiV9/DCuafsh/PPgfLGg6F1ZfwYKm8xhRO4J/rvmnb8zIZdP59TPSysi0ODUZaWWk++4NEmX0J+B5sp20zwXZMAgZdQAvCsHPhOCH+q/oolYg7DRov2w6vwSGVW2rmDNqTlZr0jUvjn1cTUaxmPf+9XaaNPW6XmTkCqzb2XReFalXxzuzZTbs4NnsH3sXTxy4HZ79CJHNr2L3/BbWpf4Nz7+fOS/9kcbnb4SnP5Upw+4TOPuYs0lNfApR1cVjmx9jbMer1I9LlXV08Yzs/tQmGbmUUU1NdlwJshUEKDKKD1tFJJri+R3P09R+sjqX3QsAssgomQRklMtGfRy6h2ft1+/e22X2isU0J2dD83r+uPyP1B2ep47x2Bd5/6TvQ8fonEaPlN42ndlwMrOyFoxWSmip/H8ANHUs7C2/7u910viTWLFnBZ1xdZHMETJMJyBVfYiDM2+GhWpfBy69gvff+f7ec9PviLbHdBmTyczzUlOT28ixr43d6dWFSESybt86ZjbPzFGppk2nh/ZJJKBu+0UM657Pt1/97d59pxJRJlUdz+7Ii9x3nyrftkPbeOHgA7DqdbBvJv+KfYK2jjY+OuMHgEAmY1w842LuXnc3PXFZkjIyY0bV1dkxRj9lNEjIKCFb5E9li3xWtsjF+i/IhkHI6E7ga8CTwGLj76iBFxnpBySITbd011Ke3PIkp086Pctnt+fFcb108Xhuz217/7Z1ode1Z3rV//tSGblGJ27c9wpkpIdpjfPg3u+TuvMmZKQbSQpeejsT2i9n1JKvq345u1SlL3afwGWzLoPagzxW/R8ciR9hQtf5aocvXcPdl6xh4biFWeVx9TMylZEQGXXkRUbHjT0OWdXBwbolrNizgqYjJ/mTkXX9vGw6L/iR0fDEbIjGeWn3S0xdqypINl7Im6dc73ksZwKDZdOZg3ZOHz4L4nWslncB0NSZ6UCsn4MTx59IUibZ1LEMyCYjs/F1cPjjEEnBuKVEajpIjF3Ms9ue7S2bJhxNRmY5zLTpYmJGNg7G2zjUfYgZI2fkvIemMjLJqObly3ndluWMbRjbe5xkEiZXnQjjltDeLqmthTtW3IFEMnXtf8MtD3F1/c/52Wt/xvxmZQfG43DZzMvYeXgn+6pfzGkcafjFjPT9yhczsiedHGRk9A/RKj4iWsUE0SpG6r8gGwbJprsFuB14Wkpu0X+llriSYKdB+2XTuSqJZCrJtf+4lubaZm4898ZekoDMg2XGpDTs1pNp09nr6jJpMrJjRvmUUVAycikjbQGZyqhx12uo6ZnA18/6CaSqoG020zb8F2fVvxP2zu1N7QZg8ytBCth1PJfOeC3snc0zkf8F4JjE+emVBDOaZznLY54vZCsjyJCRPmez0gY1Rh1S8MKIL5OUSYZ3nKzubUAy8rLpvOCrjBKKGD571mcZs/+K3nXMKSTM8zaX2crIy6ZDRmH3ApLEmdE8g5p0B3jzmTlpvKpkN3S8CCjCcMWM9g97RH2oPkL0uL9BJMn29u3s7dgLZN4RbdOZyqgvyMj8vOXwekBlmLrISI/AYNp05rno/SUSMDF6ItTvg7ddQee8X/CH5X/ghHEn8Iq5c0BGuGjUB7j2lGuz6oJLZl4CwK6mewrOpotEVMPJy6Y7WmJGwLtRtpwpXhYF2TBINt0VwItkZno9UQjuLLaklQi7g2hQm05//v2y3/Pstmf5/iXfZ1T9qKx1zPHUwN+ms5WRn01XaMwoqE1nK6NkMlO5my2zWPs0Xr1kO6+Zc37vshm7PsP1k24FMhUQAI9+iTd2/pNU5zBkKgpPKgv5+LHHM7xqdM45mjCVkRCZF9dFRrYy0sQ9sWkiVdteycu1qp/IiK60Tbf+NSxsuoBzJp+THTMi+5koRhm5Ri1IJmFU92k0/ekxvvXqb2Xtb9w4GDECpk3zPlZQmy6ZBHYphblw3MIcQk8kYFrzNJqqm9jU9ULv+SaTufMLtTU9jOhUtXvqhF/3lklPgOhl05WijMzP5liHm9vXAarxYDfadN8uWxmZfdr0NUgkYEH0DWqcwVFr2H7qtTy99WneetxbOf307Otp1gXjGsdxyoRT2DPi7owyGrmWjyw5mduW3ta7nqufkfkMdZ76DVoeaqG7218ZaTIaTDEj2SKnOf6mB9k2iE33VeB04ACAlLwITAuycyHEJUKI1UKIdUKIG3zWO00IkRRCXBVkv30NWxnZ8tseHkVDf/7Dsj8wdcRUrllwTc46QWw6VwKDvR/bpiunMtLnrMvmUka6vGYCgTkcUBYZHR7PbHFpJgFjyTsZKabzujmvyyqnTaBmecz/XsrIy6YDiK1S96a5tpnGxBR1foeO4ZtzHmBsw9g+VUbV1dnXykwMSCYEtbvPIRqJZl3/4cNVevrll6vvrufMJFmvbLpEIn28nSpuZJORVr4REeHE8SeyufvF3jInk9lDXbV3t3OgbjHRl94LqQjJyQ+oaRvIkJFt0/UFGZnvSDYZrUcgmNY8zamMDh1SRGqSkZcyqk9NgDv+AP+3mllLb+M1M17Du098N+eeq9abODG7LLouuGzWZRwc9hTU7WNH91p473ms73iBv676a+8xXcqo1+aPSnpO/gE/XfRTuntkQcpoMJBReqrxj4tWcUf673rRKgIlwAUho4SUHLSW5R2NVQgRBX4MXArMB64RQsz3WO/bwH0BylIWBElg8IoZHew6yP3r7+fKeVci0h0EzIffL4HBjhnZCQxBYkb2wx40ZtTV5a2MIFOpSZlRRjYZ6TiOrgjtERh0GbSi6T1+sob/aFrF1171NacCMeEiI7uS0endfmQUXX0lERnjpAknEbMysfS2hZCRXwKDTUamMnKl4evzEpli+ZKRy6Yz43rJJLD9VEBNPWErI12ek8afxJb4EhBJampg//CH2H5oV++5PrHlCaRIklpziRqQVEjElnMY1zAuRxnp51s/Ky6bzk4LN69NDhlN/xdMfjyLjDYeXMekYZOojdU6yWi/muC1d6oI/by5lFHm/giOPfA27n3HvUxsmshJJ8H69XDOOepXuy64dOalIFIcHPUvfr6uFao6mFl3Wtb16FVGs+9iadtzWff8QNUKaNjDno49dNVszsmmcymjwURGwE+BU4CfpP9OSS/LiyBktEwI3gZEhWCWEPwfyg/Mh9OBdVLKDVLKHuAPwOsd630MNfz47iAFLge8YkauTq92hXTXmruIp+JcOe/KrH3Y+zZHeNBwKaN8Np2pjLT1Zj7sQbPp7P3bxzGJy2XTmePLaTKors4c11RGpqev91FTVYUQIi8ZmTad/p7PprNjRgDJw6O4oPv/uOEVNzivcV8mMNTUeJORq+Fgf/Y6lnle+pnU65kt7FQK2HoWnxr+KK+d/dos1WyS0YnjT6RbHoGR64jWHWHV6Rfzjce+1nv8l3a9BEBqy2m9th87TmbhuIU5ZKRRaAKDq59RNApc8UF4w7tpaJRw6cfgde9n48H1zGiekXVN9OdoVClLyJ63yFZG+vz1/Zk1S9mjJqZPzzQMbDI6fdLpRHtGsnvMn3ho+19h2dWc2HA56/at40jPkewEhte/j28uex/xRGbQ2q2xh3uP0znqWTVSSd1BHpnyapbsXJKljOwEhkESMzpNtsh3pwdMfVC2yPcCp+XdimBk9DHUEEDdwO+AQ8AnAmw3CdhifN+aXtYLIcQk4I3ATX47EkJ8UAixSAixKOF6oktEvpiRl00XicAdK+9gUtMkzjjmjKx92PvOFzPKl8AQNGakVYo9lYOtjOz928vMlFS9z9WrYf582L7dm4zssen0PvV5mVNKmNfHvjb2smJsOrPTZDIJp3IdF824KOs4tjJyxYxKtelsMvJSRq7zNtfzU0ZmC1sfb07duUREJMem0/f1pAnpjqPjXyQ+6gWIJHhu+zO9x9ywfwM1yVEq/Txt+8ntp7Bw3EKW71lOIpXIqSD7IoGhQ7ZB8yYYuYHD025TfZxO/hXP71zU2+/Ofg9NMtIJDH4xI13uu+6C//3f3HJp2A3TaCRK065L2Dnyz3QmO+CltzMpthCJZMWeFb3vRXtyDzTsYcORZewQz/aW4eXIw3BoEjXRGuJjnlWj2U+8hz1ND3Dz4psHfcwISIpWMUN/Ea1iOuDQxLkIQkbXSMmNUnJa+u9GoDXvVu5pJmx77/vAF6SUvoWVUt4spTxVSnlqzCvvswTkixl523SSf2/4N1fMvoKIyPxQrE3XF9l0J54If/4zXHBB9jnaysTev10mMyVVt3afflqNOrB6dYY8wU1GZv+faDRzLPs6lEMZuWw6L0VSiE0XVBmZYx1CcJvORKExI7O/iiZUXUYvm27+mPlUUQeTn6ArPWjrS3uWQKyLSAQ2HNhAUyIde153CdXts2DTeRw/diFdiS5W7V2VU0EWGzMyz39D5/O9n1fNvhYQcGQ0PcmegpSRXzadttNmz3YP6aRhN0wB6rep4aImNkyGl89hYvR4QMXRNPlt6V7eu/7yml8Qi0FKptgsHoYNF3Li+JNIjFNkdHi8ilD8bfXfSCRTnspokJDR54CHRKt4WLSKR4AHgc8E2TAIGV0lBG/XX4Tgx6hJ9vJhK9lDhx8DbLfWORX4gxBiE3AV8BMhxBsC7LtPUUinV/PB3tO9jcM9h3P6xhSbwNAr79NwxYzyKSMh4E1vyiUa3UG2FGW0c2emDLq84E1GZqWr92uWX69nn6OJQpSROWq3eSw9IoCf3WarCpdNF1QZlcum09fKpYx0qrEmanMf9n3Qv1dHq5kRPR9m3EfHCEVG8VQcxi3pVUbDkmky2nkSc/+1Bo6M4/wpF1ATreE7T36nYGUkreaoSxmt61isPqx6PalIFyx/s5qzCZg1albWNTHPS5fFtOn8lJFrkFsbLjKq3fYaIqlq3jTjnSAjNDOd+qr6XjKqqoLNnYqMTh1xCevqfo+obVfjIrIXNr2KU8efARMWE61KcGj0/cQSw9nevp34mOdUuYZvZnu9IqnBREayRT4AzAI+nv6bI1vkQ0G2DUJGbwLeIwTXCMGtQFxK3h9gu+eAWUKIaUKIauBqyE4Jl1JOk1JOlVJOBe4APiKl/FuQgvcl8sWMcjq9DtsCsS42tauBUeeMnpO1P1dqd9CYUanZdF4IatP5xYw0GelBMW1lZGbT2TZdscrIJqNilJFX5Qz9m8Bgx/fMZ8omNxdRaZvNldqtlZFpNXopI/MZmB15DYxeQ1vzvdS2pa39Sc8hIkk2HdiUISPjOkxoOIZPnfkpbl1yK3urs7uQ1NUBw7aydM/zOWSkr4EJFxmtObwY9k+Dx/6DqlQjPPlZIi9cx29e/xuumH1F1rnpz+b2pk3npYx6etzZmzZcZCQPj+GKrS/x6VO/rM4pGeH4scezdPfS3kba5o7l0DWcq8Z/gUTkCIljH+ThTQ+rHWw6n4WjTofqDpbGfklP7XYmb/oysUiMnhl/Ve/E+a2sOfVyqNvXrzEjIURUCPGCEOKugrZrFRek/78JuByYCcwALk8vywtPMhKCkUIwEqgDPgB8HhUv+s/0cl9IKRPA9agsuZXA7VLK5UKI64QQ1wUpXH/Bjhn52XQimoQPL4Rzv8mGdjUw6tzRc7P2F1QZFdPPyM6m063NfGQUNIHBpYxsMtLKKJ9N50dGrpiRqzz2UD9BYka6vPpa2VaQn02nK8ty2XSumJFfo8D+XQ8C67LpvJSRTWZmVtsMXgNAPLaf+pffwLj6CTDpWQ6JLSRSCYbLXDJKpeCL536RMfVjWD2xJavctbXAJZ/kfQ+/mo4udSDzWbCtOhcZrT60GLafAttO55Od7bDjFGKiinef+G5qYuoB8yOjESMy/Y5MRayPo7sYFKuMEgkYKWfTWFvT+10ndRw+Iqmvh41HlsPu45hVexbRVC3dEx7i4U0P0yymwIGpnDb6QugYxd8Sqiocuf2tnD/1fJIz/67eoYmLIJKEWXf3ktHde3/M2ra1+QtdGj6Bqq8LxSvT/69w/L02yA78lNFiVM/ZxcBDqDmMLqeAHrVSyrullLOllDOklN9IL7tJSpmTsCClfI+U8o4g++1r2Dad7intsumORLZC3QGY9iAbDq6isbqRCY0TsvbnihnpHuq6ooRs0guawGBn0+kyllMZaZtul8r67Z3Vs5iYkTm2nt4G3OrAXM9PGeVL7bYztlyEHySbrlw2nUsRehFfTY17oFRt0wVRRiYZNSfnwIEpAFTvOY0Tx5wOk56lTW5QvxtkpO9VMgnDaobxzoXvZN/wB6AqM9dDTW0Kpj7Eofh+Vh96vrfMsRjQuIM7V/8j6zxtMtrXuY/tnRthxylAxqJy2c7mZ9NGb2hQ/73ciFJtOlfH1jMmncG+zn0cGfMgzc2SjYeXw57jiMgaRneeQ9fEB3h408PMjKmxGBvkOPj5M4yLzmVE+1lEjxzDxdMvRo5eRU/9JhizQu18zt9paJBwwZe4de/1/Pi5H+cvdJEQQhyDquN/Uei2skXqVsl/yhb5XvMPNZxcXni+UlIyTUqmW//1X6AetYMFtk2nl7mU0cHoevVh4iJW7l/K3NFze/sXabiUke4UqCt2yG/TuVLE7ZiR65guFJNNZycw6InLvGy66mrVWfCzn1WdNwtRRl55KXYCQyHZdKXYdC4Fa14v4UrPIXNOhfQzykdG5mdNdF42nV/MyEVGqZSAdWqYm9juUzlxzBkwejUbE08A0IybjEANaiuj3TD5sfQaksP1y9QwO8DS9gd7yxyLAZd8irf+9fVZo37bZV28PR0v2q7ISGeS5SMj81nQ/dq84rSlkpFuiJnv79sXvp1jGifDRZ+nqnkXB3raYPdxJBIw+vCr6BmxjLbONmZXnw+kG5X7Z/DVMcs4c/UDJBLwyqlKXKwe/iOIJBGHjoVZ9/Cfiz8K532Dc+o+wP9c/D/5C+2NmM5KTv990Pr9+ygHLJW7aWD82bEskMjIm5omBFXAh4Hz0oseBn4mJYMgnBYMtjLSy1wxo4MR1WIk1s0zOx7jbce/LWd/rpiRVkYmGdk2nZ3AEMSmc63rQjH9jHQL2yyzLoNZqZpkFInAd76TvS8/ZaSVlJd/X0zMSKtGWxkVYtOZwX5bGfmpIn0d/Gy6UpVRd3fmmdTr5fQzwlsZ5Yyb98hXuHDyZazuauaSyVfx7UX/wb8Pf49YJMZwcUzvuqZNB2riR5GsQc64H+bcCSM2sbX6IpAwsnocyzseAL5ATQ10RHbBvL8gkTyz9RkunXVp1rXR5/G3VX+jNlpH11Y1zYqXMrKvj62STTIqJWakr6GfMorHoTZWy/XHfZ0bDr+L33W+U/2w5ziSSRh96AJIz9Y6p0YRjn6P62qjmWk9xp0MPQ2sqPs5APKRL8EVH+LWlT+FJz/NW6/4LtGITysoPxJSylNdPwghXgvsllIuFkKcX+iORauYi+oCNNyKEQ0DaoPsI0gCQ9E9agcLzBaSlzLSyw9E1kNKfZHInHgRuG06e1RjyDzM3d0q7lNMAoP9uxe07WhmMxUaM9LQ5+JKYDDRF8qomGw6IVSZ7ZiRy6bzUkZmme0EhnzEb9p0eqw3XY5SlZFWXS6bznUO5v5dMaNEAmKdE5nW8zqSSZjSOAs2vZIOeYApw6dQFc0UTl8HvX19VT0Ne8+Fk34Np/8EZt/NY/KbsH8aF4x7K+vjj0O0m5oaeDb+S4jGEQie3vp01vF1WePJOLevuJ1XTboCepQkCmLTmffKRUZ2zEg3/oIoIyGy6wJdZlsZAZwz7O2w4krWdD1OQ6wJdpxEMgmNh04hEm9k6oipjK2eCmT6EJn9w4SMwcuvoEccgo5R8OK7iW07jy+f/U24/7vE4yURUT68AnhdOrP5D8AFQoj/V8D2c1CxoRFkx4tOBq4NsgPPKkwIYlKSAE6TkhOMnx4UgiUFFLLi4VJG+gGB7IrvgNgA+6er4GLzxt5prU34kZHLpguidvKRURCbzmyte21jKiMNm4y0Xeey6UyY9pauPLxiRkFtuiDKCLKnHreVkZdNJ2XmnptxCNumC6KMNBmZ17EvEhi0MnLZdHYCg02eLptOX0e9PJkEnv8ATH2E6c3Tie7IPi/7nOp3XMzhcf9W2W9dwzky4UXY9FpOPPcC7tjyQzjmaaJVr+CJrpthwwXMO7WNp7Y+lXV8XcYHNj7A3o69vH7627gn/XuhNp1+Fv1iRnoEhiBkBLlk5IoZARzYH4Hb7+CRpyTDR8aZ/6VqlWCUrGL8+hv43OubiS1V6+r3OOe+bX4lzLxf2ZTJGsbc9Qhf+F8VdClnareU8ovAFwHSyuizUsp3BN6+Rf4d+LtoFWfJFvlU3g0c8Hut9KQlSSGYoRcKQeAetYMF+WJGpk23nzQZbTkbyM2kg9LIKMgIDLqiLNSms1NDgyoj26YzZ/WEXGVil7ncymjECFVG3b8EsskoqDKC7Kk+bGVRjE3nIqNSbTqXMjJb2KbVaO7fy6YzSSqZBFZcSVN0NAvGLnDGP8307JrNr0PE6+HuH8F931ML11/M8U3nU0U9nPJz7lx/O23JzfDsxzhx9Jk8s+0ZUjKVdX1iMfjdS79jRO0IXnXsJb37L5aMdAq8ef76cyE2nT5v85ppZaQTnfRvmbHxBHXpB1vf82M33shHTvtIbznNdz4r1rc5HQ1JJ3CYiUCDoZ8RcJ1oFSP0F9EqmkWr+FWQDf1eK60JPws8JAQPC8HDFNCjdrAgX8zItOn2yfWwfwasuJI5I+f2dsIz4Uo8cGXT2aMq+CUwmMRVaL8X/XuhyshOYNDQxOqKGbn25YoZFZvA4FJGtbWwdCm8732Z7Vxk5IoZ2VacSUbFKqOamkyfIn1sPV9QX9h0ZszItukKTWDQ5KiXp1JAoo7/nraUr1/wdScZmduLtjnM+9shWHsZbHoV/zN5PSx/C7UM59Tkx+D43/EfD97ApKrjYPXrOGHUmRzqPsSqvauy9hWNwn3r7+O1s19Lg+H3Bs2mKzRmFNSm0+dtNkzNdHG9P8gejsh+j+x7rkdX0P3xeu/b1jM4M/ah3pmPB4KMpJQPSykDpWM7sFC2yAO9+2qR+4GTgmzo91qNEYJPAycCP0OR0D+Anwfd+WBBkJhRNAr7O/fTyX6ljFa9kRevXUltLDc256WMolE38QWx3szK0q9S9UJQMgoSM7Jtulmz4Mwz4eSTs9czFYWtjILadEGUEcCMGdkxK5dNF0QZmRWYV8woiDKCjIKxl5WaTadtunzKyJXAYMeMnDYdMKp6AvVV9c5n2dw+HodhTZmVJjdNBxkhmYSTOj4PPU1sObSFN4z6D5ARjm8+C4D719+fta/9PbvZfWQ3J48/Oet61NdnFIiJQmy6UrLpILsu0M+S2UiyldGIEbnvkf3seZJRqoq3NtyE2KsmOKipyWQHDpKBUiOiVTTrL+lZXvMmypFnpSjQSPYYc+l2Ck2FlrCS4aWMbJtu44GNasH+6Vnr2vAiI/1iaeiXTAczgyYwuFKNg9h0hSojHXjXL4T+bicwDBsGTzlcYlc/I9um0wQSlIxcysgFVwJDvpiRWT4zZmTbdPmutT3qhrn/np5gNp2rjHrfBw96p3abBBhEGXmRkYu4XTZdT0/2nFbmqN2R7pHULf46Z77nr5xT9xZ+DBxTN4vjxhzHp+77FM9tf46T4j8ERrH24DIAFoxdkHXueiR4PzIyn698ykjbana5/WDWBfq/lzIaPjy7PPqa2o0uTzIi08iIx7OzTQeJTfc/wJOiVeh07jcD3wiyoR8Z7ZCS/yy1ZIMBrphRLAZb6+7mcM95JJONRCKwfl+6j9G+GVnr2nC9wO3tMHp07rqmtx2UjPQDWm5lpMlHW0D2RGr5PHe/mFGxCQzmi+t3zsUqI1fMqBibDrJVkJ8y8rsP9mc7tdsk6VhMNWy8lJE+Jzv+kRMz8iiby6aLx73JqLsbhq/6GA+++2P8Vc09RyoZ4VdnP82fd32b/3322/yTh2Hi31h94CUAjh93PFGjfLojtX2N7HuozzVfNp1WhmY/uXzIp4z0b/v3Zyb2M5MbEonMdfFSRq5MzsFIRrJF3ipaxSLgApSQeZNskSuCbBskZnTUw6WM4qNe5OkZl/PfT3yn98XfsD/dx+iAmujWq1Jy9TNKpXITAfSxzZiREBn1lC9mVA4ycsWMYrHsQUhLIaNCY0ZTpsCYMTBzZmY7l01nI2jMyIuMXNl0pdh0hSojv5hRvgQGL0IJoozs5IcgZGROgGcPlGor30QCXvOqRtb//Gs884FnkDIFF3yJ1fuXMbp+NOMaxuUoIxcZlZJNV4pNl08Z6XHxbGUUOGZE9vsyWMhItIph6f8jgZ2o6YZuA3aml+WF32t1YcklHCRwjY92aNKfAbhjxZ96l69pW0OTGAfdw7JIw4brBQY3GcVi2TEjcNtB5svsqlS9KnMNM5tOlyNozCgWy5zHpEmZmFG+Y/qRUVBlNGkS7N4N8+Zl1itVGeWz6SKR7DhFMdl0el92zKi7u/CYkavTq7bp9HpBp5AIGjNyPYNBbDp7CgmbjHp64MABNc1J9+aTODn2Tpj2IM/tfIIFYxcghOgTMgqSTVeOmJFWRiYZuWJGOqFJz4jssukgc/3sUT0qEL9L/1+MGi5O/+nveeFZnUjJPq/fjja4bLr94/+CSMVYuXcljFlOJHIcq9tWMy42h3b8K0JXzAhyEwEgY62Y5dAVgxeplZpN19CgjplPGZmtZH0eEyfC1q25ZXLB1c/IK7U7qGXilcBgwy9m5FIdpjKySacUm05XzqWQkcum0yrHtunydXp1KSO9XEp/S9NOYNAZg17KqKsrl4y0IgD43OfghMvfyMPR77B630ounvnqnGNWVeWPGRWaTaf7GRX6zEGuMjKzbvftg+OPz/5dk4wdr9TXwZxeYzArI9misu9ki5xW7D6CjMBw1MO26VbtXUVH4wqO2fwFBAKO+xPRKKxuW82E2Nze9bzgRUZBbDrwV0bm50JsOlMZ6VlgC1FG1dWqomluziUUL/SFMrIRNIGhlJiRl41WaAKDVzZdEJvOXBbUpguijFwxI/P+2APv+tl0et26uswx8ikjXQmPGwePPw71+8+AdjXQ8PFjj3eeb6k2netadnYOrDIKksAAg4eMNESr+LtoFdeIVuGo7fwRkhG5yugvK/8CwJhNH+acY8+D+X+iK9LG3o69jK+a07ueF1z9jMDbprPjKC47yHyhio0Z6YfZq++GeRz9EullVVWqU6mrn5QX/BIYgmbTufZZaswon01nK6BiRmAANxm5lJHrPLz6m+UbgaHQ4YBMm06X2Tymq2GlyU4/T1VVmUrVfH5cZKTtqUmT1P/2QxFY9XpAZdLpY5vXPh8ZmeUPooxAOQN9GTOSsrSYkTn6x2BURga+B5wLrBSt4k+iVVwlWkWfjU131MOOGS3esZiGzjmIw5O4dPrrYOwKNkg1AvGE6jm963mhUJvOVkauSqpUZWT+HlQZ2QkMI0dmWr52mVxwpXab9gQUp4z0GHvlUkZ2RVxoAoM+N1fMKGinV6/y+o1NZ7ewgw4HpJdDccrIRUZeykiTkR4to70dePZ63jr/ak6akOm+qPclRPExI7/ZlQtVRvoZ8sqm6+hQ/7Uy0nHHfP2MdCMCsl2DQRgzAkC2yEdki/wIMB24GXgLsDvItiEZkauMth3aRn3iWOJxOGfShQA8nVBjw06qntu7nhe8Yj1eykjHjIIkMJj7LNSm0/AjIy9lpMmoVGW0b59arvfjUiv59ulq8dqorS18oFTItum8+hmVooxc5SiEjOzhgCZPVvsePz7XpvOKGblsOn1OusJzqUCTjB59NLOutnCrqrIbM342nVYQhw4Be47j91f9PqsDeTSauWaumJF9D/1sOtd7lEoVl9rtpYzM0RfMMtrKyLwOtbWZgVjB3a1gECojRKuoA64ErgNOA24Jsl3AKuDohh0z2ta+jfrEhcTjMG/k8dAxinX1D1EdrWZczdTe9bzgSu2G4DEjv1YplK6M/Gw6lzKKRuGyy1Rrdts2d5lccJHR/v2qwtCZiEJktw7zoaoqu2OqF/SMqGZQPohN54oZ9aVNZx4/HxnFYmoftk1nlvOss1R2mo7bmDadV8wolVLXRYhcm85PGelzePRRlXzwF+Vm9yqjjo7gNp1JRlpF2Oeuj33RRbmqwFxfk5EQmWc7FsuQsksZmeeTD0FiRnr0hebmzHb6Ny9lpF0GXSaTPAdxzOiPwBnAvcCPgYdliww0P1JIRmQ/lCmZZEf7DuakJtETB5mKwMZXwXF3MHPkTGLpp6kYZRTUpnO1wPULq6easI/TVzadlzL6r/9Sn7/4xcy6xSoj3XrVKISMvAL7NvSL7hqRIKgy8rLp8l1rP5vOVY5CbTpQz4wuj36ugigjUxnolrvLpvNL7d6zR/3XDZNCbDpbGelhsmyY+/ryl3N/110rpFRlnTpVpf9rkvJ6TrwsdD/0pTLSxz982J+MBrEy+jXwNtkik3nXtBDadGRXNns6dpOUSRrlpIw62HgBoEbodlUQNuyHX7/YXjad6b3rcriOYcYHzPXylcdet5hsOo1CbDpXzGjfPjV2l4nemUADwNVB2QVztle/yfX05wnpmeO3bs1tDNjb9bUy8joPL5vO/t3cb5DUbsisY2fT2Tadi4y0rawr4Opq9VyYNl0hysjrOcxHFuZ9+tSn4KWXsrfXKKcy0g0AL2XklU3X0VG4MhokMaN7gTNEq3ibaBXv0n9Btg2VEdmV5rZ21dwbJiexTQ86mSajOaPmEGlT6wZVRtpC8BqBwS8xwauycVWq+SrzYpSRnYUGhSUwuJRRItG/ykjPSmuu71JGU6ao/jJmS91LGZUyAoN5DkGVkZfta5+/V2q3eT7mfaiu9s6m81NlWt1oMtLKSCdR6P0HSWDwIiMdp/RDJJIpv90J3es5ccVe86EUZeTXz2jcuOxlfsqoujoz8kklQ7SK3wIzgBehd6ohCdyab9uQjMiubLYdSpORmJRpZbbN5q3Dv8+1J7+O51VSXeCYkX6w4nG3TefXmTWfMiqHTdeXysgM/JvXpBQyCqqMdDm7uoKldgsBCxfCE0/kkkBfZtOZ5Q4SMzLXM/ftKoedTRdEGdk2nV9qt74OmlDa2jLLS0lgcJFOLJb/+fK7H15qqBwxo64uNXgtZD/b2qZzKaN4PFcZmQkMgzVmBJwKzJct5pzSwRDadGSGaDeV0XCTjBC8ZvgnmNY8LVDcwKWMIL8yyhcotyvTQsiolGw6cz1TGRUTM4JcMnrVq9QUFEFQqDIybTo/ZQSKjFzrldumKyZmZC/X+3EN6eOKGXnZdEFSu102nY4ZFWrTmVOi2OdSiE1nw+vdKIaMRo9WQ1KlUm5lFI9n4r725Jm2MnK9S2YfN72OXs8coWSQkNEyYHwxG4bKKI2qqowyiooow2Jjna3MIK1j+0UolIy8CM/0qV3H8cNAKCNXzAhyyejXv/bfj2ufZlldMMkoyECpkCEjr+GA+mIEBlc5CrHp/GJGrkrN3L9JFubEkcXadKYyestbYPv2jArOZ9PZdpbr3PORhV/jwEsNucg1H+bMUWSzZYt3Np3un2Yfy0sZwdGZTQeMBlaIVvEs0Ds0s2yRr8u3YUhGaVRVKYW0rX0bE5omUHMk6pyozCueY8JLGfWVTVeMMiomZuQio1JjRpBLRoWgmJhRkIFSAU44IXu9YpVRoTad13m4fs9n0+njmr/ns+mCkpF+Pu2YUXU1vOMd2eXW01x42XRNTZmK3Os57CubrlRlNFd1LWTVKu+YUVdXpt+QeVyvfkZQWDbdYOn0Cny12A1Dmy6NXmXUvo1JTZN6WyLFKCOvoUr6IoFBl9V1HD8Uk02XL4Ghr2y6QtDXysj8vGBB9rJiY0blVEb5EhggVxmZx7HJyJzPCIKldrsSGEzEYrkjbdjKqLY2f6MoqE3n9xybx7Y/ByWjOWrQFVav9lZGnZ25jU39WzHKyCajwaKMZIt8BFiFmoC1CViZXpYXIRmloXt5bzu0jUnDJmWlZULw1qz9W1/adH2ljAodm85cr9QRGKB/lJGZwKBblC5706zom5pg+vTce1woGeky9vRklLWLRPORUb4EBq/nw08Z2TGjUmw6nc5sPwfRaCau5EVGNTX5pzIpJWbUl8po7FjVHcGljHQGo1ZGJhoacqdb8SOjoyGBQbSKtwDPomZ4fQvwjGgVVwXZNrTp0uhecDOdTcvpad/Gq6e/uvcFs7OLCo0Z5bPp/MjIy4Yp53BAdsxIiOxtC1FGQWNGhaAYZaSDy/YQRJDb8/+cczJTZBTbz0iPp+Zl05UzgQHKFzOylZEmWrtSj8Uyacj2NTcHCPV7DvVo3X4oNZsuaMxICKWOVq2C00/P3tZURjYZNTfD3r3qs+te20R9NCgj4EbgNNkidwOIVjEG+DdwR74NQzJKo/24HxIfsZzObpjUNAnhYXkUmk2XTxm5YkZe6st8Aezf88VvgsaMTBvHnMhPwyTUYmNGdqfXQlBMNp1updstcVcldtNNuSMYFJrAANkDmurv9jkUY9P5xYxsmy5IzMi26QohI3u5RiyWqYTtabgPH85kr/o9h9/+duZ3LxSTTedF7Pkwdy7861/uoaW0MrIbmyNGwPLl2eu7lJHLXrWV0SCKGUU0EaXRRkAHLiQj4GDXQeLDVxBtn0qyaRNTR0xluzE8DOS+nEFjRoWkduvP/dXPyFUJaiVkp6RqmK2/fMeshJhRZ2dm6Bxd+fjdQ7NCsWNGQZUR+JNRUMvX9XshNp2fMvKy6bxiRubMt1pparhsOj1kkD2/j5TqGgvhb9NdcEHuMhv91c8IlDK65ZbcOJlO7XbZdC5lFCRmZN6nQaiM7hWt4j7g9+nvbwXuCbJhGDMCntn2DAjJyCd+xr/f+W/eMPcNOT6u/eAXo4z8bDqzY6hXJVVKzCioTaf376WMzNac17TrGmYl7tfptRAUEzPq6MhUgOZ2+UjFrsyDxoxAVXSl2nSu+1xMAsMxx8DJJ6tsQS8y0ufkpYzsBoV9rna5NRnpFG7z+dbPUL7nMB/87mNfxowgk1FnKx2/BIbmZjWIrbn+0R4zki3yc8DPgIXACcDNskV+Psi2oTICnt76NEhB/b4zuHC6qinzZSb1lU1nqx0IHjMqJJvO/H3YsGybxLWujhl52XRB/PZKUEaajOzOiPm2h+Kz6SB7qge73OWy6bwSGJqaYPFi9XnNGvXfjBm5sulcz7vXebuUke6DZI7VFo1mp3vre5LP7vVCqdl0QWNGkMmo0+PfufoZ6cQgDdOOdt3rQrPppMw/qeRAQbSKmcA42SKfkC3yL8Bf0svPE61ihmyR6/Pto6zKSAhxiRBitRBinRDiBsfvbxdCLE3/PSmEOKGc5fHCU1ufou7wfGLJTC3pRUaFJjCY9oZfzMhFRn2pjMzfGxvhkUfgve91r2sqI3u/ts/th4HMprMTGMxrX4gyMu9fkIaIRiE2XbkTGFz7zDdQqv0MmnazDZcy0nE3s3OrLl9fKaP+yqYDmD1blXfJkuz9+GXT2YOm2mUpRBmZ3QUqFN8H2h3LO9K/5UXZyEgIEUXNZ3EpMB+4Rggx31ptI/BKKeVC4GuomQH7FSmZ4umtTzP80FnOYG0xNp25rlmZ2Q8ruJWRV6VXyggM5gsbi8HZZyuF5EIQZRSkNesiIz2OWbEISkbaRuzszNh09nZByMg8Xrlsur6KGXllgJrIl9pt9w8qVhmBuv7mM2ZXsH4xoyAoJmbkRez5EIupTEs7Vd/PpnMpIxcZ+Q0HZCojqGirbqpskUvthbJFLgKmBtlBOZXR6cA6KeUGKWUP8Afg9eYKUsonpZTp3go8DRxTxvI4saZtDQe6DtB85KycChu8bbogysgkrtpa/5fGVemVSxkF6Sdj9xzXsF8OP5j2lj6+ObFeMQhq0wmRmXrcVkZ2DMgLkYj7eMXYdKUoI69Or/lsOj9l5GXT7dunzllXrOaz6HW9Xdl0oJSB653qD2Xk9W4Ua9MBvPKVufs0bbpClZFfarcrZgQVTUZ+TUxHtDwX5SSjScAW4/vW9DIvvB+PrAshxAeFEIuEEIsS5pzJfYCntjwFwKgOf2XkIhgvuGwdl0VnHidIpdcX2XSxWH4y8FNGupIv1qYrxaIz96n36wc92+tAKaO+mOnVXA+CKSNbzZvIZ9O1takWvSvZw6tB47LpILsyNpf3t03XF9l0kCEjMxlDN9y8+hlpmNdRX1tbGeksxUGqjJ4TreJae6FoFe8HFgfZQTkTGFxVnnNYcSHEq1BkdI7rdynlzaQtvIaGhoKHJvfDU1ufYkTtCEbKORxykFEpysj878qkA/8EBi9lVIpNF9Re88qmg9LIqJQ+RhBcGUG2MjKDy0HJyFZGfU1GLlVswmXtxGLq+HqmVhO6cte9/oOQkW3TtbVl5hqyy2DuT49kbZfP/G7Gi3TZof9tOpc6g8LJ6NRT1XusrTpzf+3t/jad3YhKJDJkpK+TzkAcpDGjTwJ/Fa3i7WTI51SgGnhjkB2Uk4y2Asca348BttsrCSEWAr8ALpVStpWxPE48vfVpzph0Bp/7bKQ3DRO8OxAWGjPS63opo2LIyGUz5SMZM2aTD6Yycp2nni4gHwZaGdXWZmJGY8e6y+WHaDRYLM+FmhpFCn1t0+l9mdOja+jKr63NmzDzxYwOHIAZM9xlNY83ZowiI1eKf38pI7/74XVtSyGj6moVa3366dz9mTO3ariUkf5sklFzs1q2Y0fmd72+OYUEVK4yki1yF3C2aBWvAtKjPPJP2SIfDLqPcpLRc8AsIcQ0YBtwNfA2cwUhxGRUCuA7pZRrylgWJw51H2LZ7mVcOe9KzrE0mZdNV6wyykdGrkq2UpWRnmI6H1z9jEolo2KUUSk2XTmVUT5y8/q9piYzZYEJXfnt25d/n9rttkdgkNIdeLdtujFjcs/L3qYSlJGXaoPCY0YA110HU6fmHgdyychPGZnrRyJKae7alfk9GlXXVhN9pZORhmyRDwEPFbNt2chISpkQQlwP3AdEgV9JKZcLIa5L/34T8BVgFPAToa56Qkp5arnKZOPZbc8ikZx17Fk5v7nSLaGwmJG5rpdN55fa7TXcSykJDEHISLfcXAkMENymM8+tr8iomJhRsand110HF12U+V4JMSNzX17KaP9+7/uTz6aD3NlK9X/zvLXSdB2nkmJGfamMAK66Sv1pmOdvv+N1dZnnwLZaIZu8xo7NJqMRI7Lt0v4gIyHEsajpwccDKeBmKeUPynfEbJRTGSGlvBu421p2k/H5A8AHylkGP+jkhdMnnZ7zWyk2nd2ivfbazMtvo5DUbj9lVOhoAn4IooyCVCD19fDLX8LFF2eGGRooZVRMNt2ZZ2bPQBuUxMB/oNRSbTo77VpDK9Z4PL8ySiaVCtKxJ3N9r5RklzIqhox0+f2GpQqCINl0Xu9QKcf12p+tjIRQ12DXLn9lBJnrqX//7Gfhne/MLOsnZZQAPiOlfF4I0QQsFkL8S0q5oqxHTaOsZFTpeGbbM8wfM58RtSNyfislgcF+ScyJx2yUEjMyy5IvQ64Qm86MGXkpo6B43/syn9/2NkVMpaCYmJHdB6QQUjHR18pIJ1XYPfftcrpsOlc5hFBEsmeP97XRx7bnqwqijPrKptPPT3/YdF7KyLTASoEfGYG6H7t2uV0MMzPSjGlGo4qozfvQHwkMUsodwI7053YhxEpUBnRIRuXGqr2rOHWi2xXsy9RuPxQzAkO+0b39yhRUGfklMJx7rrfS88Nvf1v4NjYKVUZtbcXbdDYKud6ajPzmM5o8GR5+WAXFCzmel00HGTLyOjdTGZkTR+ZTRmY6MygLSYjKsOlc23tZnK7GXykw3yeXFW+PWm6WyU8Z2egjZRQTQiwyvt+czlTOgRBiKnAS8ExJRywAQ5aM4sk4mw5s4uoFVzt/tzuiuYZH8UIhlZZfAoNXPyPbZuprMopG/W26b30r/z7KhUKVkc6Q7G9lZNt0rrHpILsjpY1CbTrIEEkQm05PrWHbrkGUUX29UnSVmsDg9bzr5cXEi1wIoozM45rb2DEjjTKSUaCYvBCiEfgz8Ekp5aGSjlgAytnptaKx8cBGkjLJrJGznL+Xooy0/A9SaRVi03kNBxTkZS40m84vgWEgUYgyqqvLzEZazECpNvrapsuHfAkMrnLoyi+IMtL9WsaMCRYzMvdZW6sGYB1IZeTXqMinjMpBRn2hjOzJLDX6K5tOCFGFIqLbpJR/Ke/RsjFkyWht21oAZo3yJ6NiBkrV6xeijEqJGQVVO4Ws66eMBhKFKqODB9XnvrTpSiWjoJVvOZSRGTPSc+2MHp19DJcysm26IGRUCandXjGjcth0LmVkz+dkfnYpI69r0R8xI6FSmn8JrJRSfq98R3JjyJLRun3rAAIrI5sg8r1AdkvSC37DAZUjZhR05AS/mNFAotCYkcZA2HQ9PZn+PMUoo2JjRn5lNJWRJqOgysj8r8nIz6YbyNRur2un1+0rZWQ+j342XVBl5HUt+kkZvQJ4J3CBEOLF9N9lZT2igQpr9/Yf1u5by7CaYYyuH+38vZR+Rvr3YmNGhY7A0Nc2XTSqHvqjQRlpmMpIZx+WO4EBMs9PMSnFXsfrq5iRtulGjw5ORpGI2rauDo491l055lNGA9nPSE953t82nStm5MqmG0gyklI+jnsYt35BhVU1/Ye1+9Yya+QshEd+Z1OT+q8D4K6X0g92j3Uv+PUz8kpg0OvqCrWvExhiMZWBVolkpKfkCDLJmFk52CNgBFWuJgqNGYG6jnbDJGjl69Ufyiu1G/IrI73PZDIzhfaYMWpsNQ0vm05/j8cVofzyl6qvko1oVJ2/XTnblXB1tdpvqf2MCsmmM8vXFwiawGA3omKx7GUVoowGFEPWplvbttYzXgRqHpaaGtieHk2vkE6v+ve+TmDwUlHlyqarxAQGCJ6A4GXT6W3LbdOBm4z6w6bLV6l1dytlVFeniLoYm665OVf96PKNHOk9Zp2+L0IodVSqMnK1J/2e91is/2JGM2aoctqDz5qqCNQ1t/t7mRgEA6WWjCFJRj3JHjYf3OwZLwL1gI8bl2kxliuBoZB+Rl7xpXJl01WiMgL3tOsueNl04P/ie6HQBAZQ6dPFKqNSbDqvMo4apc592zYVMxo9Ondf2hUw92Ofu9fwVgAf/zj85Ce5y1321FlnwfHHe+/LD3ZShetYXqqpv2y688+HrVtVnzJzG9doDXbszsRQUEYVWNWUHxv3byQlU75kBIqMXn5ZffZqIXqhFGWUL4HBlvzlUkadnbktuErAYFBGtk1nblOoMrKPFyS12y9mdMwx6rk+eDDXHho2LHdbs/yu4LuNE09UfzZc/Wvuu897P/ngdw+9YkZ6WX/ZdELAhAnZy6JR97pjx2ZG7rYxFMhoSCqjjQc2AjC9ebrvemZHNLsi6uuYkSuBIV/MCMqrjPbvd9swA41iyKgvYkaFJDDYNp253UAmMABMmQKbNyubzlZGrrEDzWc5CBl5wUVGpcBPGfndq/606VzwI6OhrIyGJBntOaLSiMY1jvNdb5zxczHKqFibrhKUUUcHHDlSmWTkGijWBb8Ehlisf2JGhw8X/uxozJkDc+fmxkRKsekgQ0Yum841+aH5jAWx6bzgsulKQRCbzvW892UCQ77Ubhe8yGjcOO9yDYWY0ZC06fZ2qA4WXmndGi4yKiRmVK4EBpu4+rrTayyW6YNSiWQ0GGw6HbA2By0tRJ0CvOtd6s+Gn03nSiW2MWWKSsyprc216VzKyCSjSlNGXufZ3zGjqqrCsiRd1+DGGzNhARtDQRkNWTKKiijDa/znMzDJqJhsukJsuiBkdNJJaupj2z7sa5suGlUteqhMMgqqjPqajApJYNCKY+fOTDkKtem8UKoymjxZDeDa0RFcGZnPvxDFVeb9qYzyZdP1NRkVQrDDh7uPP3eu+vM7TkhGRxn2dOxhdP1ozz5GGn7KKF9F6PeimPCy3sxjaZxxBjz3XPayQm26oCMwaNi96CsBhSqj6urcSinodTNRiDLSlfyBAzBpUuaY5v9i4ZfaXVurfs+njDS0MtLnlM+m0xZTMdMv9GfMyO8ZeeMbvSv9QqGPU4ht+ZOfZEZzDwrdWTcko6MMezv25rXowE1GEIxoypHaXcpxCo0ZaQxmZaQrCFdFUUzMqBAysfuV6P/FjPxgw08Z6TmN8sWMNEYbr0E0GsymK5ZMBoKMXM/7d7/bN8c391/IOenGSaH44AfhtNOK23YwICQjH7iy6UC1qmbO9N+2HDEjr+OUI5tOoxLJqFBlZCcv6G3LGTOqqlIV+8GD2RV5qaoI/EdgAEVGfscx+7yYZLRggTsl27bpSiWjvrLp/O5hX6nQfOhrgvXDj39c/mMMJIYsGR039ri862llJES2LbF8ef5jlBIzKuRFGqrKyL4nLugKwqWMyk1GoCwwm4z6ohOxn00H+ZVRba16tnftyp7U7cUX3evbyqiYTDoYmASGcnfaLsamC+HGkEzt3tuxl9F1+ZXRyJHFt2ZLGZuukEqvHGRkjok2bFj+9fsbQUdP8FNGpdh0QbezkwP6iowuvRQ+8xk1UKkL550Hp5/uvw+tjkbnfw363Kbrz9Tucisj/d72hzI62jHklFFKpmjrbAtk00Uiyqprayv8OEFb3g0NqoVvDsFSSKVXrmw6yN/CHigETaPVrdWBsOkgU9GbtmtfVI7HHusf9/jOd/LvY8oUWLQomPKtVJuu2JhRXyJURn2HIUdGB7oOkJKpQGQEys7QI3cXgjPPzE6A8MKoUfDoo3DKKZllp5+uWr9BMpbK1c8IKtOig8KVkauimDAh2P0xUWhqdrmUUV/gFa+ADRuClWfUqExCRinK6OqrMwOC9gWKHYGhL9GfMaOjHRXyavQfgnZ41Rg7FtatK/w4N90UfN1zzsn+/rrXqb8gKGfMqFLJKKgy8rPpbr+98Iqqrg5+/nO4+OJg61cyGX3yk+ovCO66K0PopcSM5s9Xf32Fiy7yfkb7WxmFZFQ6KuTV6D/ooYAKUUaVaFVplDObrlLJKKgy0oF+FxmZtmgh+MAHgq/rIqNyt9TLgfHjM59Hjcr+PpB4+9vVnwv9FTMKbbq+w5Ajo0KV0SWXZKaOrkScfXYwu6mQTq9HizISQrVYB6qisIfaqSRlVCz++MfBQah9NdpFPoTKqO8wyF+NwqHJaEzDmDxrKrztbeqvUuGaN8aFYpRRJY6+AMGVESgiGigyspVR0GSTSobZmbeS0V/KSO8/JKPSMWTJKKgyOlowFGNGAF/7Gpx8cnnL44VKjhkd7eivmJEepie06UrHkHs19nbspS5WR32VI5BwFGMoZtMBfPSj5S2LH0IyGjgUMopJqXjTm1TfrhClYci9Gns7gw0FdLShmH5GlUpGZ59d2UklGkdLAsNghBD9R/5//GP5jzEUMAhe6b5F0HHpjjYcTcrowx+GW24Z6FLkhx4jLlRGA4NJk2DixIEuRYigKCsZCSEuEUKsFkKsE0Lc4PhdCCF+mP59qRCi7O7+niN7hiQZNTerl3P27Pzr6sqzUhMYBgsiERXwD8loYLBsGXzsYwNdihBBUbZXQwgRBX4MXARsBZ4TQtwppVxhrHYpMCv9dwbw0/T/suHlgy9zycxLynmIikR9PWzdGmzdSldGgwmjR4c23UCh2L5kIQYG5WynnQ6sk1JuABBC/AF4PWCS0euBW6WUEnhaCDFCCDFBSrmjHAXqSnSx4/AOpo2YVo7dHzU46SQ1nJE5702I4vCVr2TmCIrFCp9ULUSIoYJyktEkYIvxfSu5qse1ziQgi4yEEB8EPghQXcJ8wZsPbAZg6oipRe9jKOC00+Cppwa6FEcH3vrWzOdPfQqSyYErS4gQlYxykpFrmE9ZxDpIKW8GbgZoaGjI+T0oNh7YCMC05lAZheh/XHHFQJcgRIjKRTkTGLYC5owrxwDbi1inz7DpwCaA0KYLESJEiApDOcnoOWCWEGKaEKIauBq401rnTuBd6ay6M4GD5YoXAWzcv5HqaDUTmiaU6xAhQoQIEaIIlM2mk1ImhBDXA/cBUeBXUsrlQojr0r/fBNwNXAasAzqA95arPKBsuinDpxARQ657VYgQIUJUNMra60FKeTeKcMxlNxmfJdBvA7ZsPLAxjBeFCBEiRAViSEmETQc2hfGiECFChKhADBkyOtxzmL0de8O07hAhQoTwQL5Rc8qJIUNGG/en07pDZRQiRIgQOTBGzbkUmA9cI4Tow4ni/TFkyKg3rTuMGYUIESKEC72j5kgpewA9ak6/YNAN29jR0SGFEJ1Fbh4746tnVOok4jGgEssWlqswVGq5oHLLFparMBRbrjohxCLj+83pAQU0goyaUzYMOjKSUhat5oQQi6SUp/ZlefoKlVq2sFyFoVLLBZVbtrBchaGM5Qo0Ik65MGRsuhAhQoQI4Yt+HRHHRkhGIUKECBECgo2aUzYMOpuuRNycf5UBQ6WWLSxXYajUckHlli0sV2EoS7m8Rs0px7FcEGoQhBAhQoQIEWLgENp0IUKECBFiwBGSUYgQIUKEGHAMGTIayGEurHIcK4R4SAixUgixXAjxifTyrwohtgkhXkz/XTYAZdskhHgpffxF6WUjhRD/EkKsTf9vHoByzTGuy4tCiENCiE8OxDUTQvxKCLFbCLHMWOZ5jYQQX0w/c6uFEK/p53J9RwixSgixVAjxVyHEiPTyqUKITuO63eS54/KUy/O+9df18inbH41ybRJCvJhe3i/XzKd+GPBnrOyQUh71f6hg3HpgOlANLAHmD1BZJgAnpz83AWtQQ298FfjsAF+nTcBoa9l/AzekP98AfLsC7uVOYMpAXDPgPOBkYFm+a5S+r0uAGmBa+hmM9mO5LgZi6c/fNso11VxvAK6X87715/XyKpv1+/8AX+nPa+ZTPwz4M1buv6GijAZ0mAsTUsodUsrn05/bgZWons+VitcDt6Q/3wK8YeCKAsCFwHop5eaBOLiU8lFgn7XY6xq9HviDlLJbSrkRNW/X6f1VLinl/VJK3VP/aVS/kX6Fx/XyQr9dr3xlE0II4C3A78t1fI8yedUPA/6MlRtDhYxcw1wMOAEIIaYCJwHPpBddn7ZUfjUQdhiqt/X9QojFQogPppeNk+nZd9P/xw5AuUxcTXYFMdDXDLyvUSU9d+8D7jG+TxNCvCCEeEQIce4AlMd13yrpep0L7JJSrjWW9es1s+qHwfCMlYShQkYDOsyFC0KIRuDPwCellIeAnwIzgBOBHSiLoL/xCinlyahRez8qhDhvAMrgiXRHvNcBf0ovqoRr5oeKeO6EEDeixjK7Lb1oBzBZSnkS8Gngd0KIYf1YJK/7VhHXK41ryG709Os1c9QPnqs6lg3K/jpDhYwGdJgLG0KIKtSDdpuU8i8AUspdUsqklDIF/JwBkNpSyu3p/7uBv6bLsEsIMSFd7gnA7v4ul4FLgeellLugMq5ZGl7XaMCfOyHEu4HXAm+X6SBD2tJpS39ejIozzO6vMvnctwG/XgBCiBjwJuCPell/XjNX/UAFP2N9haFCRgM6zIWJtBf9S2CllPJ7xvIJxmpvBJbZ25a5XA1CiCb9GRX8Xoa6Tu9Or/Zu4O/9WS4LWa3Vgb5mBryu0Z3A1UKIGiHENGAW8Gx/FUoIcQnwBeB1UsoOY/kYoeauQQgxPV2uDf1YLq/7NqDXy8CrgVVSyq16QX9dM6/6gQp9xvoUA51B0V9/wGWozJT1wI0DWI5zUDJ6KfBi+u8y4LfAS+nldwIT+rlc01FZOUuA5foaAaOAB4C16f8jB+i61QNtwHBjWb9fMxQZ7gDiqFbp+/2uEXBj+plbDVzaz+Vah4on6OfspvS6V6bv8RLgeeCKfi6X533rr+vlVbb08t8A11nr9ss186kfBvwZK/dfOBxQiBAhQoQYcAwVmy5EiBAhQlQwQjIKESJEiBADjpCMQoQIESLEgCMkoxAhQoQIMeAIyShEiBAhQgw4QjIKESIPhBAjhBAfSX+eKIS4Y6DLFCLE0YYwtTtEiDxIjxF2l5RywUCXJUSIoxWxgS5AiBCDAN8CZqTntlkLzJNSLhBCvAc1enIUWIAaY60aeCfQDVwmpdwnhJgB/BgYA3QA10opV/X3SYQIUckIbboQIfLjBtS0FScCn7N+WwC8DTW+2jeADqkG03wKeFd6nZuBj0kpTwE+C/ykPwodIsRgQqiMQoQoDQ9JNe9MuxDiIPCP9PKXgIXp0ZfPBv6khh0D1ERoIUKEMBCSUYgQpaHb+JwyvqdQ71cEOJBWVSFChPBAaNOFCJEf7agpoAuGVHPRbBRCvBnUqMxCiBP6snAhQhwNCMkoRIg8kGoemyeEEMuA7xSxi7cD7xdC6BHRB2TK+xAhKhlhaneIECFChBhwhMooRIgQIUIMOEIyChEiRIgQA46QjEKECBEixIAjJKMQIUKECDHgCMkoRIgQIUIMOEIyChEiRIgQA46QjEKECBEixIDj/wPH1BoLN90DjwAAAABJRU5ErkJggg==\n"
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
}
|
|
}
|
|
],
|
|
"source": [
|
|
"fig, ax1 = plt.subplots()\n",
|
|
"\n",
|
|
"ax2 = ax1.twinx()\n",
|
|
"ax1.plot(time, noisy, 'b-')\n",
|
|
"ax2.plot(time, noisy_response, 'g-')\n",
|
|
"\n",
|
|
"ax1.set_xlabel('time')\n",
|
|
"ax1.set_ylabel('Tokens Staked', color='b')\n",
|
|
"ax2.set_ylabel('Conviction Accumulated', color='g')\n",
|
|
"\n",
|
|
"ylim= ax1.get_ylim()\n",
|
|
"ax2.set_ylim(0, ylim[1]/(1-alpha))"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"The above plot shows the signal processing power of the conviction voting algorithm. It effectively computes a time average scaled by a factor $\\frac{1}{1-\\alpha}$. In fact, one variant of conviction voting would include this normalization, creating an exponentially smoothed weighted average. However, in the basic version we choose to define it as a leaky integrator because we wanted to make explicit the value of ones votes accumulates over time to more than what one would attain in a standard voting method: $x< \\frac{x}{1-\\alpha}$ whenenver $\\alpha\\in (0,1)$."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"## Multidimensional Example\n",
|
|
"\n",
|
|
"Now in order to proced with this example we need to make it a little less simple by considering a case where there are $n$ participants and $m$ proposals. In this case the signals are distributed across the agents. That is to say each agent $i$ will get to chose there stake for each proposal $j$ based on their private preferences. They can make that decision however they want as long as the action they take is valid.\n",
|
|
"\n",
|
|
"Suppose participant $i$ has $h_t[i]$ tokens at time $t$, then they may choose to stake them accross the available proposals $\\vec x_t[i] = \\big[x_t[i,0], \\ldots, x_t[i,m] \\big]$ where $x_t[i,j]$ is the number of tokens staked by participant $i$ in support of proposal $j$. The staking action is valid as long as $\\sum_{j =0}^{m-1} x_t[i,j] \\le h_t[i]$.\n",
|
|
"\n",
|
|
"The information used to decide on $\\vec x_t[i]$ is private to agent $i$. Furthermore, in cases where $h_t[i]$ is variable (due to transferability of tokens), the quantity $h_t[i]$ itself is a decision as a consequence of private information related to agent $i$. For the purpose of this discussion, we don't worry about how agent $i$ decides to hold $h[i]$ or chooses to support proposals according to $\\vec x_t [i]$ but we do assume that in doing so she is expressing some of her private information, both magnitude $h_t[i]$ and direction $\\vec x_t[i]$.\n",
|
|
"\n",
|
|
"Given the choices for all participants we have a time varying matrix made up of terms $x_t[i,j]$:\n",
|
|
"\n",
|
|
"$X_t = \\left[\\begin{array}{c}\\vec x_t[0]\\\\ \\vdots \\\\ \\vec x_t[n-1] \\end{array}\\right] \\in \\mathbb{R}_+^{n \\times m}$\n",
|
|
"\n",
|
|
"satisfying the condition that $X_t \\vec{\\mathbf{1}} \\le \\vec h_t$ for all time $t$ where $\\vec{\\mathbf{1}}$ is the $m$ dimensional column vector of ones and $\\vec{h}_t$ is the $n$ dimensional column vector of holdings. \n",
|
|
"\n",
|
|
"The most interesting thing about building this matrix view of the system is how it unifies the local and global states of the system. Surely each agent will make their own choices about $x_t[i,j]$ and $h_t[t]$ and those choices will vary in time based on a wide range of factors that we cannot hope to totally understand, but we do know that even as it varies in time our actors are using the freedoms afforded to them by this policy to move the system towards outcomes they percieve as best relative to their private preferences and information. The key to our algorithm is to compile that spatially distributed time varying singal into a discrete decision. We do this by restating our conviction voting algorithm in its matrix form:\n",
|
|
"\n",
|
|
"$\\vec{y}_{t+1} = \\alpha \\vec{y}_t + X_t' \\vec{\\mathbb{1}}$ where $X_t'$ is the transpose of $X_t$ and $\\vec{\\mathbb{1}}$ is the $n$ dimensional column vector of ones. This expression is equivalent to\n",
|
|
"\n",
|
|
"$y_{t+1}[j] = \\alpha y_{t} + \\sum_{i} x_t[i,j]$ where $\\vec{y}_t = \\left[\\begin{array}{c}y_t[0]\\\\ \\vdots \\\\ \\vec y_t[m-1] \\end{array}\\right] \\in \\mathbb{R}_+^{m}$\n",
|
|
"\n",
|
|
"This mathematical structure is actually the same as the one we demonstrated in the one dimensional case so we will review some the same checks."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 75,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"import pandas as pd\n",
|
|
"\n",
|
|
"n = 3\n",
|
|
"m = 2\n",
|
|
"\n",
|
|
"mimo_step_up = np.zeros(shape=(K,n,m))\n",
|
|
"mimo_step_down = np.zeros(shape=(K,n,m))\n",
|
|
"mimo_noisy = np.random.rand(K*m*n).reshape((K,n,m))\n",
|
|
"\n",
|
|
"for k in range(K): \n",
|
|
" for i in range(n):\n",
|
|
" for j in range(m):\n",
|
|
" if k>2*K/(i+3):\n",
|
|
" mimo_step_up[k,i,j]= (1+i)*(1+j)\n",
|
|
" mimo_step_down[K-k,i,j]= (1+i)*(1+j)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 76,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"\n",
|
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"mimo_step_up_response = np.empty(shape=(K,m))\n",
|
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"mimo_step_up_response[0,:]=0\n",
|
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"\n",
|
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"mimo_step_down_response = np.empty(shape=(K,m))\n",
|
|
"mimo_step_down_response[0,:]= 1/(1-alpha)*np.sum(mimo_step_down[0,:,:])\n",
|
|
"\n",
|
|
"mimo_noisy_response = np.empty(shape=(K,m))\n",
|
|
"mimo_noisy_response[0,:]=0\n"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 77,
|
|
"metadata": {},
|
|
"outputs": [],
|
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"source": [
|
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"\n",
|
|
"for k in range(K-1):\n",
|
|
" mimo_step_up_response[k+1,:] = alpha*mimo_step_up_response[k,:] + np.sum(mimo_step_up[k,:,:], 0)\n",
|
|
" mimo_step_down_response[k+1,:] = alpha*mimo_step_down_response[k,:] + np.sum(mimo_step_down[k,:,:],0)\n",
|
|
" mimo_noisy_response[k+1,:] = alpha*mimo_noisy_response[k,:] + np.sum(mimo_noisy[k,:,:],0)"
|
|
]
|
|
},
|
|
{
|
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"cell_type": "markdown",
|
|
"metadata": {},
|
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"source": [
|
|
"## Filling up the tank\n",
|
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"\n",
|
|
"A set of tests where the participants start supporting a proposal but their support starts at different times\n",
|
|
"- granular input signals\n",
|
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"- aggregate inputs with outputs\n",
|
|
"- granular inputs with outputs"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 78,
|
|
"metadata": {},
|
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"outputs": [
|
|
{
|
|
"output_type": "execute_result",
|
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"data": {
|
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"text/plain": "Text(0.5, 1.0, 'step_up tokens staked for proposal 1')"
|
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},
|
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"metadata": {},
|
|
"execution_count": 78
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|
},
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{
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"output_type": "display_data",
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"data": {
|
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"text/plain": "<Figure size 432x288 with 1 Axes>",
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\n"
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
}
|
|
}
|
|
],
|
|
"source": [
|
|
"pd.DataFrame(mimo_step_up[:,:,0], columns = ['participant 0', 'participant 1', 'participant 2']).plot(kind='area', alpha = .5, cmap = 'cool')\n",
|
|
"plt.xlabel('time')\n",
|
|
"plt.ylabel('stake')\n",
|
|
"plt.title('step_up tokens staked for proposal 0')\n",
|
|
"pd.DataFrame(mimo_step_up[:,:,1], columns = ['participant 0', 'participant 1', 'participant 2']).plot(kind='area', alpha = .5, cmap = 'cool')\n",
|
|
"plt.xlabel('time')\n",
|
|
"plt.ylabel('stake')\n",
|
|
"plt.title('step_up tokens staked for proposal 1')"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 79,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"output_type": "execute_result",
|
|
"data": {
|
|
"text/plain": "Text(0.5, 1.0, 'Conviction and tokens staked for proposals 0 and 1')"
|
|
},
|
|
"metadata": {},
|
|
"execution_count": 79
|
|
},
|
|
{
|
|
"output_type": "display_data",
|
|
"data": {
|
|
"text/plain": "<Figure size 432x288 with 2 Axes>",
|
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\n"
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
}
|
|
}
|
|
],
|
|
"source": [
|
|
"fig, ax1 = plt.subplots()\n",
|
|
"\n",
|
|
"ax2 = ax1.twinx()\n",
|
|
"ax1.plot(time, np.sum(mimo_step_up, 1), 'b--')\n",
|
|
"ax2.plot(time, mimo_step_up_response, 'g-')\n",
|
|
"\n",
|
|
"ax1.set_xlabel('time')\n",
|
|
"ax1.set_ylabel('Tokens Staked', color='b')\n",
|
|
"ax2.set_ylabel('Conviction Accumulated', color='g')\n",
|
|
"\n",
|
|
"plt.title('Conviction and tokens staked for proposals 0 and 1')"
|
|
]
|
|
},
|
|
{
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"cell_type": "code",
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"execution_count": 80,
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"metadata": {},
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"outputs": [
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{
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"output_type": "execute_result",
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"data": {
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"text/plain": "Text(0.5, 1.0, 'Support for Proposal 1')"
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},
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"metadata": {},
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"execution_count": 80
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},
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{
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"output_type": "display_data",
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"data": {
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"text/plain": "<Figure size 432x288 with 2 Axes>",
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\n"
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
}
|
|
}
|
|
],
|
|
"source": [
|
|
"fig, ax1 = plt.subplots()\n",
|
|
"ax2 = ax1.twinx()\n",
|
|
"\n",
|
|
"pd.DataFrame(mimo_step_up[:,:,0], columns = ['participant 0', 'participant 1', 'participant 2']).plot(kind='area', alpha = .5, cmap = 'cool', ax=ax1)\n",
|
|
"ax1.plot(time, np.sum(mimo_step_up[:,:,0],1), 'k-.', alpha=.5)\n",
|
|
"plt.xlabel('time')\n",
|
|
"plt.ylabel('stake')\n",
|
|
"plt.title('step_up tokens staked for proposal 0')\n",
|
|
"ax2.plot(time, mimo_step_up_response[:,0], 'k-')\n",
|
|
"ylim= ax1.get_ylim()\n",
|
|
"ax2.set_ylim(0, ylim[1]/(1-alpha))\n",
|
|
"\n",
|
|
"plt.xlabel('time')\n",
|
|
"ax1.set_ylabel('tokens staked')\n",
|
|
"ax2.set_ylabel('conviction')\n",
|
|
"plt.title('Support for Proposal 0')\n",
|
|
"\n",
|
|
"fig, ax1 = plt.subplots()\n",
|
|
"ax2 = ax1.twinx()\n",
|
|
"\n",
|
|
"pd.DataFrame(mimo_step_up[:,:,1], columns = ['participant 0', 'participant 1', 'participant 2']).plot(kind='area', alpha = .5, cmap = 'cool', ax=ax1)\n",
|
|
"ax1.plot(time, np.sum(mimo_step_up[:,:,1],1), 'k-.', alpha=.5)\n",
|
|
"plt.xlabel('time')\n",
|
|
"plt.ylabel('stake')\n",
|
|
"plt.title('step_up tokens staked for proposal 1')\n",
|
|
"\n",
|
|
"ax2.plot(time, mimo_step_up_response[:,1], 'k-')\n",
|
|
"ylim= ax1.get_ylim()\n",
|
|
"ax2.set_ylim(0, ylim[1]/(1-alpha))\n",
|
|
"\n",
|
|
"plt.xlabel('time')\n",
|
|
"ax1.set_ylabel('tokens staked')\n",
|
|
"ax2.set_ylabel('conviction')\n",
|
|
"plt.title('Support for Proposal 1')"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"## Emptying up the tank\n",
|
|
"\n",
|
|
"A set of tests where the participants start supporting a proposal but their support starts at different times\n",
|
|
"- granular input signals\n",
|
|
"- aggregate inputs with outputs\n",
|
|
"- granular inputs with outputs"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 81,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"output_type": "execute_result",
|
|
"data": {
|
|
"text/plain": "Text(0.5, 1.0, 'step_down tokens staked for proposal 1')"
|
|
},
|
|
"metadata": {},
|
|
"execution_count": 81
|
|
},
|
|
{
|
|
"output_type": "display_data",
|
|
"data": {
|
|
"text/plain": "<Figure size 432x288 with 1 Axes>",
|
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\n"
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
}
|
|
},
|
|
{
|
|
"output_type": "display_data",
|
|
"data": {
|
|
"text/plain": "<Figure size 432x288 with 1 Axes>",
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\n"
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
}
|
|
}
|
|
],
|
|
"source": [
|
|
"pd.DataFrame(mimo_step_down[:,:,0], columns = ['participant 0', 'participant 1', 'participant 2']).plot(kind='area', alpha = .5, cmap = 'cool')\n",
|
|
"plt.xlabel('time')\n",
|
|
"plt.ylabel('stake')\n",
|
|
"plt.title('step_down tokens staked for proposal 0')\n",
|
|
"pd.DataFrame(mimo_step_down[:,:,1], columns = ['participant 0', 'participant 1', 'participant 2']).plot(kind='area', alpha = .5, cmap = 'cool')\n",
|
|
"plt.xlabel('time')\n",
|
|
"plt.ylabel('stake')\n",
|
|
"plt.title('step_down tokens staked for proposal 1')"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 82,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"output_type": "execute_result",
|
|
"data": {
|
|
"text/plain": "Text(0.5, 1.0, 'Conviction and tokens staked for proposals 0 and 1')"
|
|
},
|
|
"metadata": {},
|
|
"execution_count": 82
|
|
},
|
|
{
|
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"output_type": "display_data",
|
|
"data": {
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"text/plain": "<Figure size 432x288 with 2 Axes>",
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Ch7o/xCcbP+HtNW/z/NXPu6w8jUZTcOzU08eA2lbRamGs7uwS3KqcRGQg8CjQ21zS2+VkZxt7Px80mldKseXEFv6I+YM/9//JqqOryMjOAKBhhYb0qtuLK2pcQYsqLWhWuRm1y9XGTzz7IKZPt4xzNWFEixG8u+5dHuz+IBVDKnpULo1GY+Cgnp4HfCcibwA1gMbAWhtZFAsuU04i8j3QB6gsIseAKAyrj2DgL/Pr/D+l1F2ukgF8UzntPLWT77d9zw87fmDfmX0AtKvejge6PUDvur25ouYVVA6t7GEp8+fpXk8zZ+ccXlv1Gi9c/YKnxdFoSh0FqaeVUjtEZBawE8gE7lFKZblMtpKw2GBRxpzi4yEyEj74AO5yqRp0LRlZGczdPZd3173L34f/xk/8uKreVdzU8iaub3o91cOre1pEp/jjD3j+ecN6sFo1GDNnDPP2zOPgtIPack+jKWacGXPyVnyoPWGbkt5ySs9K58P1H1J/Rn1G/TSKo+eO8kq/Vzj+wHEW37KYiR0nlhjFBHD2LPz7r7EHiO4TTVpmGtHLoz0plkaj8TJKxHpORaFqVTh0CCqWsCGNbJXNt1u/JWp5FAfPHqR77e58OPhDBjUahL+fy+a9uZww8xsuKcnYN6nUhLs73c3769/nrk530bpaa88Jp9FovIYS2p5wnoAAqFsXIiI8LYnz7E3YS98v+3LL3FsoX6Y8C8YuYOVtKxncZHCJVkwA4eHG3qKcAJ7p8wzlgstx35/3URK6mTUajevxeeV09qwxxrF1q6clyZ+s7Cxe/OdF2nzQhi0ntvDpkE9ZP2k9gxoPcql5tzuxpZwqhVbi2aueZenBpXy37TvPCKbRaLwKn1dOZ87Ak08aHhy8mYSUBAZ+O5DHlz7O4CaD2Tl5J7e3v93jpt/FTcWK0KkThITkvH5Xp7voWqsr0xZO41TyKc8Ip9FovAbfqvlsUBIMIjbFbaLjzI78ffhvPrn+E34a9ROREZGeFsslNGoE69ZB3745r/v7+fPJ9Z9wPu08kxdM1t17Gk0px4ur7OLB25XT73t/p/tn3clSWfxz2z9M6DDB0yJ5jJZVW/LsVc/y086f+GLzF54WR6PReBAvrbKLD29WTnN3z+WGH2+gVdVWrJ+4ns41O3taJJeTmQnt28OHH9oOf6j7Q/Su25upf0xl56md7hVOo9F4DV5YZRcv3qqcftr5EyNnj6RDZAf+uvmvUuP8NCAAduwwljCxhb+fP98O/5awoDBu+PEGzl08514BNRqNV+BlVXbx07QpJCTA0KGeluQyv+7+ldE/jaZLzS4sunkR5cuU97RIbiU8PKe1Xm5qlq3J7JGz2X9mP2PmjCEzO9N9wmk0Gq/A55WTv79hIRYc7GlJDNbGrmXMnDF0rNGRheMWUja4rKdFcjthYY6VE0Cvur14/7r3+WPfH0z+XRtIaDSlDZ9XTrGxhhfsnV4wfBF7PpYh3w8hMiKS+WPmEx4U7mmRPEJ+LScLkzpO4vErH+fjjR8z9Y+pZKts1wun0Wi8Ap93XxQfb6wg26OHseKtp0jPSmfk7JEkpSexdPzSUu3ktFcvwxmvMzzX9znSstJ4ffXrhp/BwR/63NwvjUaTF59XTt5iEPH4ksdZfWw1P974Iy2qeFBLegEffeR8XBHh1f6vEuwfzAsrXyAjO4OZg2cS6B/oOgE1Go3HKTXKyZPefxYfWMzrq1/n7k53M6rlKM8JUkIREZ7r+xzBAcGGI9zEg/x444+lxsJRoymN+Hz/iKdbTucunuPWubfSrHIzXhvwmmeE8DLuv9/o2isIIsLTvZ/mq2FfsSZ2DR1nduS/Y/+5RkCNRuNxfF45WYy8PKWcHl/yOMcvHOfLYV8SGhjqGSG8jAsXYP/+wqW9ue3NrLp9FYH+gfT6vBfPrniW9Kz04hVQo9F4HJ9XTt26QXo69Ovn/rJXH13NB+s/4N4u95YK7w/O4qy1nj3aR7Znw6QNDG8+nKeXP02Hjzqw+ujq4hNQo9F4HJ9XTiIQGOj+llO2ymbqH1OpEVGD5/o+597CvRyLcirK1KWKIRX54cYfmD9mPufSztHjsx6MnTOWmISY4hNUo9F4DJ9XTnv3wj33QIyb66yvtnzFhrgNvNzv5VI7n8ke4eHGWODFi0XPy7K8yCM9HmHu7rk0f685d8y7g92ndxc9c41G4zF8XjkdOwbvvw9xce4rMyUjhceXPE7XWl0Z23qs+wouIbRsCSNHGk5gi4OI4Ahe6vcSB6YdYErnKXy99Wuav9ec/l/3Z+7uuWRkZRRPQRqNxm34vHLyhLXee2vfIy4pjlf7v+ozK9gWJ9dfD7NmQURE8eZbPbw6bw18iyP3HeG5q55j9+nd3PDjDUS+Hsmd8+9kyYEl2k+fRlNCkJLgsywsLEwlJycXKu2iRXDNNfDvv9C9ezELZoPzaedpMKMBV9S8gj/+94frC9TYJTM7kwUxC/hh+w/M2zOP5IxkygaXpW/9vlzT8Bp61ulJs8rN8Pfz97SoGo1LEJEUpVSYp+UoDKVmEq67Wk7vrHmHhNQEnr3qWfcUWAJZtgxuuAH+/BO6dHFdOQF+AQxpOoQhTYeQkpHCwn0L+XPfn/y5/0/m7p4LQERQBJ1qdKJzzc50qtGJFlVa0LBCQ4IDvMRTsEZTSnGZchKRz4DBwEmlVCvzWkXgR6AecAgYpZRKdJUMRpmGR3J3KKfUjFRmrJnBoEaD6FSjk+sLLKEEBsK5c8Z8J3cRGhjK8ObDGd58OEop9p3Zx3/H/mNN7BrWxq7ljdVvkJFtjE35iR8NKjSgaaWmNKjQgJoRNalVthY1y5r7iJqEBIa4T3iNxkUUtJ4WkceACUAWcK9S6k+Xyeaqbj0R6QUkAV9Z3fQrwBml1EsiMh2ooJR6NL+8itKt504+WPcBkxdMZvn45fSu19vT4ngtmzcbq+H+8gsMG+ZpaQzSMtPYcWoHu0/vZs/pPexO2M3u07s5fPYw59LyLnhYLrgclUIrUTm0Mtc1vo6nez/tAak1Gsfk161XkHpaRFoA3wOdgRrAYqCJUirLJbK7csxJROoBv1nd9B6gj1IqTkQigeVKqab55VMSlFNWdhZN3m1CldAqrJ6wWhtCOGDfPmjcGAYOhDlzIDQU5s+HJUvyxn39dWNNrp9+gpUrc4YFBMBrpkeob76B9etzhoeFwfPPG8effgrbtuUMr1QJnnrKOH7/fWPagTU1asAjj0BSehLPvx3L3vhYkvyOccHvGKlygvSA02RU2ciR8wc5N/2c7grUeB3OjDk5W0+brSaUUi+a8f4EnlFKuWQGvLvHnKoppeIAzBu3u26EiEwCJgEEBQUVusANG+Dtt+HZZ6FOnUJnky+/x/zOgcQDvHT1S1ox5UONGsYKxatXG947QkON3+mLL/LGtSif//7LGx4cfDl85Ur44Yec4ZUqXVZOS5fC77/nDK9b97Jy+vNPWLEiZ3irVoZyCg8KZ93Cpqxff/k7KiMD7r4bmrT/hTuXDmdj3Ea61e7m9DPQaNxEgIhYf7bNVErNzCeNvXq6JmDt0PKYec0luLvldFYpVd4qPFEpVSG/fIrScvr5ZxgxArZsgTZtCpWFU1zzzTVsP7mdQ9MO6eUcShHxSfFEvh7Jq/1f5aHuD3laHI0mB4VsOdmsp0XkPWC1Uuob8/qnwAKl1BxXyO7ueU4nzGYi5v6kqwt0h7VeTEIMi/Yv4s6Od2rFVEpIT4dVq0BdqE6DCg1YdXSVp0XSaIoLe/X0MaC2VbxawHFXCeFu5TQPGG8ejwd+dXWB7lBOH234iAC/ACZ2mOi6QjReRWKisbry3LnQo3YP/j36LyVhzqBG4wT26ul5wGgRCRaR+kBjYK2rhHBZlS0i3wOrgaYickxEJgAvAf1FJAbob567FFcrp4ysDL7e+jVDmg4hMsLJtcc1JR7LMGh6OnSv3Z2TySc5kHjAs0JpNAWkIPW0UmoHMAvYCSwE7nGVpR640CBCKTXGTtDVrirTFkFBULmyYdnlCv7Y9wcnk09ya9tbXVOAxiuxVk59a/cAYOWRlTSs2NCDUmk0BaOg9bRS6nngeddJdBmf9603fDicOgWNGrkm/y82f0HVsKoMbDTQNQVovBJr5dSyaksqhlRkxeEVjhNpNBqn8Xnl5EoSUhL4be9vjGs9ThtClDIsLfH0dMOjRO+6vVl2aJlnhdJofAif9623dCm8+y58+CFUtTurqnD8vOtnMrIz+F+b/xVvxhqvR8SYQNy8uXF+Vb2r+GX3Lxw6e4h65et5VDaNxpNItAx3FK6i1M/O5OPzLadDhww3OcWxsF1uftzxI40qNqJ99fbFn7nG6xk+3Eo51b8KgGUHdetJU+q53twmAJ8C/zO3T4Bxzmbi88rJVdZ6J5NPsuzQMm5qeZP2CFFKWboUtm83jltWaUmV0Cq6a09T6lFR6jYVpW4DFNBCRakRKkqNAFoWJB+tnArJnJ1zyFbZ3NTypuLNWFNiGDvW6DIGEBH61OvD0oNL9XwnjcagnopS1muQnwCaOJvY58ecXKWcft79M00rNaVV1VbFm7GmxBAUZBhEWOjfoD+zd85m1+ldtKjSwnOCaTTewXKJlj8xPJkrYDTgdNeCz7ecwsOhfv3ined07uI5lh9azrBmw3SXXikmt3K6ptE1ACzct9BDEmk03oOKUlOAD4G2QDtgpopSU51N7/PKadw4OHDAmIhbXCzct5DM7EyGNB1SfJlqShy5lVOdcnVoUaUFf+z7w3NCaTTexUbgdxWl7gf+lGiJcDahzysnVzBv7zwqh1amS00XrjGu8XpyKyeAQY0G8ffhv0lO9+71xzQaVyPRMhH4CfjIvFQTmOtsep9XTnPmQP/+kJRUPPllZGWwIGYBg5sMxt/Pv3gy1ZRIPvgAoqNzXhvYaCDpWenaak+jgXuAHsB5ABWlYgCnZ5v6vHI6fBgWL75sGFFUVh9bzdmLZ7m+yfXFk6GmxNKtG7Rtm/Nazzo9CQsM47e9v3lGKI3Ge0hTUepS34JESwCGYYRT+LxyKm5rvUX7F+Ev/lxd363+azVeyN9/Gx8+1gQHBDOo8SB+3fMr2aqYvog0mpLJComWx4EQiZb+wGxgvrOJtXIqIIv2L6Jrra6UK1OueDLUlFheeAGeeCLv9WFNhxGfFM/aWJctdaPRlASmA6eAbcCdwAIVpWz8x9hGz3MqAAkpCaw/vp5n+jxT9Mw0JR5bBhEA1za+lgC/AObunkvXWl3dL5hG4x1MVVFqBvCx5YJEyzTzWr74fMupcmVo3bp4lNOSg0tQKAY0HFD0zDQlnqAgyMjIe71CSIVLjmC1twhNKWa8jWu3OpvY51tOd9xhbMXBov2LKF+mPJ1qdCqeDDUlGnstJ4DhzYdz9+93s/XEVtpWb2s7kkbjg0i0jAHGAvUlWuZZBUUACc7m4/PKqThZdmgZfer1IcBPPzaNY+V0Y4sbmfrHVL7f/r1WTprSxiogDqgMvG51/QKw1dlMpCR0O4SFhank5MJNavzkE2NbvdpYg6ewHDt/jNpv1ubNa97kvq73FT4jjc+wfz9cuADt2tkOv/bba9l5aicHpx3Ubq40HkFEUpRSYZ6WozD4fBPg6FFYs6ZoiglgxSFjCe7edXsXg1QaX6BhQ8fhY1qN4Za5t7D62Gq61+7uHqE0Gi9BoqUr8A7QHAgC/IFkFaXKOpPe5w0isrOLxxhixeEVlAsuR5tqbYqemcYnWLcOvvjCfviwZsMICQjh6y1fu00mjcaLeBcYA8QAIcAdGMrKKbRycpIVh1fQs25P7bJIc4k5c+Cuu+yHRwRHMKLFCL7f/j2pGanuE0yj8RJUlNoH+KsolaWi1OfAVc6m1crJCeKT4tmbsFd36WlyYDGIcDRsO6H9BM6lnWPOrjnuE0yj8Q5SJFqCgM0SLa9ItNwPOD3+5fPKqU4dwwdaUVh5ZCVg+E3TaCwEBRmKKSvLfpzedXvTsEJDPt30qfsE02i8g5sxxpmmAMlAbWCEs4k9YhAhIvdj9D8qDNcWtymlLrqirLvvNraisProaoL9g2kf2b54hNL4BIGBxj493f5iliLChPYTeHzp4+w+vZtmlZu5T0CNJh9s1cVAKPAjUA84BIxSSiUWNG8VpQ6bh6lAtKO4tnC7chKRmsC9QAulVKqIzMJYvvcLd8viLP/F/kfHGh0J8g/ytCgaLyLIfB3S0yE01H68OzrcQfSKaN5d+y7vXvuue4TTaPLBQV3cAliilHpJRKZj+Mh71Ol8o2UbDryPqyjllFWZp7r1AoAQEQnA0NLHXVXQSy9B1yK4N0vPSmfD8Q10q1XEvkGNz3HLLbBrF0Tks7ZnlbAqjG41mi82f8G5i+fcI5xG4xy26uKhwJdm+JfAsALmORi43sHmtGA2EWE+jrSfolBrlCulYkXkNeAIRnNvkVJqUd7yZRIwCSAoqPAtlrg42LOn0MnZFLeJtKw0rZw0eahUydicYWrnqXy55Us+3fQpD3R7wLWCaTSXCRCR9VbnM5VSM8F+XSwi1ZRScWacOBFxeoFAyNGdVzTBHYS9Zu6HA9WBb8zzMRj9kIVCRCpgaOb6wFlgtoiMU0p9Yx3PfIAzwfAQUdjyimqtt/rYagC61dbKSZOT3bthwQK4/XYoX95x3I41OtKrbi/eWP0GUzpP0V3EGneRqZSy6QzUXl1cXAVLtFzgcgMnCAikOCbhKsUKpVgBtFeKm5RivrmNBa4sgsz9gINKqVNKqQzgZ8Bl0+eLQznVLlubGhE1ik8ojU+waRM8+CCcOOFc/MevfJzYC7F6Uq7GW7BXF58QkUgAc3+yMJmrKBWholRZcyuDYann9KCrM9V2FREaWE5EqA9UKbiolzgCdBWRUDEcjl0N7CpCfg4pqnJaF7uOLrW6FJ9AGp/B2iDCGQY0HEDHyI689O9LZGZnuk4wjcY57NXF87i83MV44NfiKExFqblAX2fjO2Otdz+wXIQD5nk9jFUNC4VSao2I/ARsBDKBTZjdd66geXO4yuk5yTk5k3qGg2cPcmfHQt+uxocpqHISEZ7s9SQ3/HgDX2/5mtva3+Y64TSafHBQF4cDs0RkAoYCG1mY/CVahlud+gGdcGDHkCe9M17JRQgGLBM0ditFWkGELCpF8UpeFBYfWEz/r/vz181/0a9BP7eXr/Fu/vwTBg6EVaucn+itlKLLJ10MryNT91ImoIxrhdSUajzplVyi5XOr00wMW4WPVZRyqpsw35aTCKHAA0BdpZgoQmMRmirFb4URuCSx4fgGADpEdvCwJBpvpKAtJzBaTy/1e4mrv7qa99e9ry33ND6LilJF6hrIt+Ukwo/ABuAWpWglQgiwWinaFaXgglCUltODDxprOa1aVfC0o2aPYv3x9RyYdiD/yJpSx8WLcPo0VKkCwcEFSzvo20GsPrqavVP3UjWsQJa6Go3TeLjlVB+YijEUdKkhpKKUU9OQnDEVaKgUrwAZAEqRCpSYldNOnzbmOhWGDXEb6FijY/EKpPEZypSBWrUKrpgA3rzmTZIzknl8yePFL5hG4x3MxejKewdjRVzL5hTOGESkm60lBSBCQ3DvmFNRKKy1XmJqIgcSDzCxw8TiF0rjE5w8CR9+CDfeCC1aFCxts8rNuK/Lfby2+jVua3cbPer0cI2QGo3nuKii1NuFTeyMcooCFgK1RfgW6AHcWtgC3U1hldPGuI0AdIzULSeNbU6fhqgoaNq04MoJIKpPFLN3zmbCvAlsvmuzNo7Q+BozJFqigEVYNWhUlNroTGJnqu0NGF4ibgW+xzAHLBb3FO6gsMpp64mtALSr3q54BdL4DBaDiIyMwqUPDwpn5vUz2ZOwh6hlUcUnmEbjHbQGJgIvcblL7zWHKaxwpuU0HxikFL8DiNAcmA20KrCoHqBzZ6haiPHmrSe3Uj28OlXCijLfWOPLFMZaLzcDGg5gYoeJvLrqVQY0HMDVDa4uHuE0Gs9zA9BARalC/Yc406Z4AZgvQpgIHYGfgGLzv+Rq7r8fZswoeLqtJ7bSpppTnt01pZTiUE5gGEc0rdyUm3+5mZPJhfIUo9F4I1uA8oVNnG/LSSl+FyEQ+AuIAIYpRUxhCywJZGZnsuPkDqZ2nuppUTReTHEpp7CgMH688Ue6ftKVG2fdyOJbFmvHsBpfoBqwW6JlHTnHnJwyJXe0ZMY75HQ1URY4AEwVAaW4t3Dyupebb4ZDh+Cff5xPE5MQQ1pWmm45aRxSvjwkJjpeaNBZ2lRrw6dDPmXsz2OZsmAKHw3+CMPdmUZTYinSQKqjltP6XOcbilKQp7hwAZKSCpbGYgyhlZPGEX5++S+VURDGtB7DtpPbeHHli9QuW5unej9VfJlrNG5GRakVRUlvVzkpdWklxBJNYaz1tp7YSoBfAM0qN8s/sqZUM3069Olj+NgrDp7v+zyxF2J5evnThAaG8mD3B4snY43GzRR1PSdnfOs1Bl7EWFf+0kQMpS4vo+HNFEo5ndxKs8rNCA4oxNR/TanizTeN96u4lJOI8Mn1n5CakcpDfz1EckYyT/V6SnfxaUocKkpFWJ9LtAwDOjub3plq+3PgAwyvslcBXwElZrW07Gwo6P/19pPbaVW1RFjKazxMUFDRDSJyE+gfyHcjvmN82/FELY/i0cWP4szqARqNN+OK9ZxClGKJCKIUh4FnRPiHIg52uYv+/Qs25pScnsyhs4eY0H6C64TS+AyBgcWvnAAC/AL4bOhnhAeF8+qqVzl09hCfDPmEssFO9YhoNB6nqOs5OaOcLorgB8SIMAWIBUqMG+X77y9Y/D0JewBoXrm5C6TR+BquaDlZ8BM/3hn0DnXL1eWxJY+x5cQW5oyao1v1mpLC9VbHlvWchjqb2BnldB8QCtwLPIvRtXeL0+KVMHadMlaMb15FKydN/rhSOYExBvVwj4fpXLMzN/10E10+6cLL/V7m7k534+/n77qCNZoiUtT1nJwZc6qnFElKcUwpblOKEUCdohTqTvr3h75O93LCzlM7CfALoFHFRq4TSuMzHDwIn33m+nJ61+vNpjs30aN2D6b+MZVun3Zjc/xm1xes0RQSiZYvJVrKW51XkGhx+r/FGeX0mJPXvJKMDMMowll2nd5Fo4qN9Ax9jVP4u7HxEhkRyZ/j/uTb4d9y+NxhOs3sxKL9i9wngEZTMNqoKHXWcqKiVCLQ3tnEdpWTCINMLxE1RXjbavsCo/+wRFBQU/Jdp3fp8SaN07zwArz7rvvKExHGth7Lrnt2EeQfxMJ9C91XuEZTMPwkWipYTiRaKuLcUBLkE/E4hpeIIeT0DnEBKKCZgecoiHJKz0onJiGGEc1HuFYojc8wdy5UrgxTpri33IohFWlUsRH7zuxzb8EajfO8DqySaPkJw0pvFPC8s4kdeYjYAmwR4TulyDCdv7YCYpUisYhCu42CKKd9Z/aRpbJ0y0njNK42iHBE40qN2Xlqp2cK12jyQUWpryRa1mPMbRJguIpSTr+wjrr1PhShpamYymG4P/8K2CTCmKIK7i5GjoRhw5yLqy31NAXFk8qpUYVGHEg8QFZ2lmcE0GgcINHSFTiqotS7Kkq9AxyVaOnibHpHbYqeSrHDPL4N2KsUrYGOwCOFltjN3H8/TJ7sXNy9CXsBaFKpiQsl0vgSnm45pWelc/T8Uc8IoNE45gPA2gVCsnnNKRwpJ+t/uf7AXACliC+AcDYRkfIi8pOI7BaRXSLSrah52iMtzflltGPOxBAZHkl4ULirxNH4GOHhhpcIT2CZ7hCT4NPLq2lcjK36WEQqishfIhJj7ivkn1PerFXUZb9bKkplUwCDCEfK6awIg0VoD/QAFho3QgAQUghBrZkBLFRKNQPaAruKmJ9dunaFG290Lu7ehL00rtTYVaJofJCffirYWmHFSeOKxrsac0YrJ02RsFUfTweWKKUaA0vM84JyQKLlXomWQHObhrEmoFM40mJ3Am8D1YH7rFpMVwO/F0JQAESkLNALuBVAKZVOzlZasZKdDTt3GgqqQQN45RXj+iOPwIFcj2lzqxjGdDAWaZw6FeLicoZ37AiPmTO87rgDzp7NGX7llXDffcbxuHFw8WLO8P794c47jWNbCvP662H8eEhNNRZJzM2oUcZ25gxMmpQ3/JZbYMgQiI2FadPyht95pyHD/v3w6KPGNUU2mX4XyPRL5pbbU2nZLpXte1L54ONUsvzMTVLI8ktlwMAMatbO5MDhTP5akoGSTJRkko1x3P3KTMpXzOTwsQw2bTHCFJkoyUKRTbv22YSGZZOtsgn0D+TRHo/6xJpZ778PS5fmvBYaCl99ZRy/8QasWpUzvFIl+Ogj4/j552HTppzhNWvCjBnG8ZNPwu7dOcO7dIGHHqpBSECIttjTFBp79bGIDAX6mNG+BJYDjxYw+7swdMiTGNZ6S4CJziZ2ZK23F8izEIBS/An8WUAhrWkAnAI+F5G2GGbq05RSydaRRGQSMAkgKKjwE2IzM2HfPmPRQWurvUOHcv7DZwWcJ7n1yUstpwMH4PDhnHlVq3b5eN8+OH06141ZLSKydy+kpOQMb9368nHuygaMCgcMhWor3FJeZqbt8DNnIDUjlZiE42w4fZzMMsfJCDlOZshxsoJOc2TbWV44fpb4s2fZ3+AsWYGJZAeeBzFa3gtWA6vNzBrmzX/jdmC7eRKZM0yyAzm0L4CggADICiQlLABRAYjyB+WPKH+2nvZDnfQj7aIfaUFx/LX/L1bevrLEj/HFxeX9PSKsFgs4fjxvePXql4+PHcsbnpZ2+fjIkZzhO3ZAQIAx56lRxUa65aRxRICIWC8cO1MpNdPq3GZ9DFRTSsUBKKXiRKTA/lRVlDoJjLacS7SEAIOB2c6kF3e74heRTsB/QA+l1BoRmQGcV0rZXfYzLCxMJScn2wt2SLNmsGcPvP220Rqyx4bjG+j0cSd+HvUzNzS/oVBluYus7Cz2Juxl64mtxJyJYW/CXmLOxBCTEENCakKe+MH+wVQNq0r5MuUvbRVCKlA+2DguV6YcYYFhhASGEBIQQmhg6KVj632QfxCBfoEE+AVc2gL9A/ET52c5P/WUMXF1e9xeen95JcEBwSwat0hbSBaSEbNGsPPUTnbd47KecU0JRkRSlFJhDsJt1sfAVKVUeat4iUqpAo87SbT4AwOAMeZ+pYpSTg20OD04VYwcA44ppdaY5z9RuP5Mp7C4LgrI504tlnreOOZ0/MJxlh9azrrYdWyI28DGuI0kZ1xW1rXK1qJJpSbc2OJG6parS42IGjm28mXKe81iddWrG79JRdWExbcsZsDXA+j5eU8W/G8BnWs6vQ6ZxqRRhUbM3zOfzOxMAvw88e+sKeHYq49PiEik2WqKBE4WJFOJll7AWOA6YC2G3UIDFaVSHCa0wu1vs1IqXkSOikhTpdQejDEsl80knDABVq+GDh0cx4s5E4MgNKxgoz/LzWRkZbDi8Ap+3f0riw8uZvdpo08nJCCEdtXbcXv72+kY2ZF21dvRuFJjQgNDPSyx81i6s+LjoW3bNvx7+78M+GYAfb/sy883/cyAhgM8K2AJ4MUXDZdJsbHQrHIzMrIzOJh40Cs/rDTejYP6eCcwHnjJ3P/qbJ4SLceAIxhm4w+rKHVBouVgQRQTOLdM+zSM1XAvAJ9gOO6brhRF8Tg5FfhWRIIwrDeK5FrdEY86OYQXcyaG2uVqExJYVEPEwqGU4p8j//DF5i/4dc+vnEk9Q0hACL3r9WZC+wn0rd+XNtXalPiv45zKCRpWbMjK21Yy6NtBXPvttTzX9zke6fFIgboKSxupqZeNdSzdobtO79LKSVNYbNXHfsAsEZmAoWhGFiC/OcAw4CYgS6LlVwqwyKAFZ2q625VihgjXAFUwBP8cCq+clFKbMVZFdDknThj/zJGREBxsP15MQswl01x3cu7iOT7d9CkzN8xkT8IeIoIiGNpsKCOaj2BAwwElqlXkDBbldOLE5WuREZH8fdvfTJo/iceWPMayQ8v4+oavqRpWYta0dCsBAaCU0T3arHIzAHaf3s2QpkM8LJmmJOKgPr66UPlFqWkSLfdhrP03BngVKCvRMgpYoKKUU2uTO6OcLIMV1wKfK8UWEbxjAMMJOnY0uj++/x5Gj7Yfb9+ZfdzYwskJUcVAYmoiM9bMYMaaGZy9eJZutbrx+dDPGdliJGFBdscvSzx16xrWaVVz6Z2ywWX5fsT39K3fl2kLp9Hmgza8PuB1xrYe6zXjZd6CZfw0MxPKlylP9fDq7DqtDSI03oM5+XYpsFSiJRDD8nsM8D5Q2Zk8nFFOG0RYBNQHHhMhAijACkmexRmDiPNp50lITaBBhQb2IxUTGVkZvPXfWzz3z3OcTzvPsGbDeLLnk3Ss0dHlZXsDAQHGHB5biAiTOk6iW61u3D7vdsb9Mo6ZG2fy3rXv6aXJrbBWTkFB0Lxy80vjkhqNt6GiVAYwH5hvmpM7hTMd+xMwrDeuUIoUIAgXjhEVN84op4OJBwFcrpyWH1pOu4/a8cjiR+hVtxdb7trCLzf9UmoUk4X334cvvrAf3rpaa/6b8B8fDf6I7Se30/bDtvzv5/9pD9wmLVvC//4HlgZls8rN2HVqF+6eFqLRFBQVpVKdjZuvclKKbOAE0EKEXkBLoHyhpXMzziinA4mGq4j65eu7RIaLmReZsmAKV315FSkZKcwbPY/5Y+b7hHeEwvDtt/D1147j+Pv5M6njJPZO2cuD3R7k192/0ur9Vtw460aWHVxWqivi666Db76BEPMbtHnl5pxLO0d8UpHdXmo0XoMz1novY1hd7AQsvvkV8LcL5So2nGo5nXVdy2nfmX2Mmj2KTfGbuL/r/TzX9zmfM3IoKNWr2/ZwYYtKoZV4pf8rPNLjEWb8N4N3173LnF1zaFSxERPaT2BUy1Fu6Y71ZiwWe7tP7yYyIjKf2BpNycCZMadhQFOlSMsvojcybZrhiqiJAw85BxIPUC64HBVCCuN41z6/7f2NsXPGEugfyLzR87i+6fXFmn9JpXp1WL68YGkqh1bm2b7P8njPx5mzaw4fb/yYx5Y8xmNLHqNttbbc0OwGrml0DZ1qdCrx5vb58dlnxsq7+/cbVqgWi71dp3dxVf2rPCydRmMg0dIEeBioi5WuUVGqrzPpnfkvPgAEQslUTk/ZdYp0mYNnDxb71/dXW77i9l9vp31ke+aMmkOdcnWKNf+STPXqhh/A9HRjQL8ghASGMK7NOMa1GcfBxIP8svsXft71M9EronlmxTNEBEXQq24vutTsQscaHekY2ZFq4dXyz7gEoZQxPSIz0zivGVGTssFl2XFyh+OEGo17mQ18CHzM5V43p3FGOaUAm0VYgpWCUop7C1qYJ9i1y/hHbtnS/jynA4kHaFGlRbGV+ebqN3lg0QNcXf9qfrnpFyKCI/JPVIqoXt1wwnvqlH3LPWeoX6E+D3R7gAe6PcCp5FMsP7ScpQeXsvzwchbELECZ8/5qRtSkXfV2NKnUhMYVGxv7So2pEVGjRLayrK31wLBybFW1FdtObvOcUBpNXjJVlHJ6ccHcOPOfOc/cSiSdO0NSkrFkQTcbSxpmq2wOnT3E4MaDi6W85/9+nieXPcmI5iP4dvi3BAc4mPlbShk/Hm6/Hfz9iy/PKmFVGNlyJCNbGhPZz6edZ1PcJjbEbWBD3Aa2ndjG0oNLSc28bCzkJ35UC6tGjYgaREZEUiPc8EVYObSy4RjXylGuZQsJCPH4vKvcygmgddXW/LjjR5RSHpdPozGZL9EyGfgF64ZNlDrjTOJ8lZNSfClCCFBHKfYUWkwPYTHqsmcQEZ8Uz8XMi9SvUHRLvffXvc+Ty57k5jY38/nQz/H3K8ba14cICjKWMNm7N29Y+/ZGq+roUThpw9VkR9Pq/tAhSMjlgN3fH9q1M45Px5YlPLE3vYN607suUBf8A7KpXP84MQkxrNwdw5HEY5y6eJzTaXHsjT/GqrS1nElz7N8y0C+QsKAwgiWMMv6hVAgP46p6V/HGNW8U9DEUGnvK6aMNHxF7IZZaZWu5TRaNxgHjzf3DVtcUxjId+eKMtd71wGsY85vqi9AO+D+lKBG+UvKz1iuuOU7z9sxjyoIpDGk6hM+GfqYVkwMuXoSHHoJPPrn8+1hISTFMpF97zVjmxBp//8sV8rPPGoYB1pQvD4mJxvH06TA716oxtWr5cfRoLWqVrcUrk69i4cKc4c2bQ/y2DBIvJjLohrNs3HkWylzeajVOZNyEsyRnJPPNrBROXEimTNcDvPnfm9zS9hbaVW9X6GdSEBo3hrvugnLlLl9rXc1YLGzbiW1aOWm8AhWlivTF70y33jNAZ4yVEFGKzSK4ZkKQC8iv5VQcc5y2ndjG2Dlj6VijIz+M+KFEjmO4kzJljG69wTZ6Ui0GEhMnQr9+OcOse6umToVhw3KGBwZePn7kkbyrCZcpc/k4KgomT84ZHh4Ogf6BVA2ryttRVTmTq/OhfHno2dM47pUMI0fC1EFnmZ5Rm9dWvcY3w7+xdbvFTocO8EGunvzWVU3ldHIbgxoPcoscGo0jTLdFd2OstAuGDvnI9BiRL87UoplKcS5XN3aJmQGZX8vp8DljudvCWtOdTzvP8FnDKRtcll9H/+oxr+YlDcuqv/Zo1crY7NGu3eUuPFt0ysetcNeujsN79HAc3qePsc9OKc/EDhN5e83bvHD1C26xyrQ4fRW5vLpzhZAK1IyoydYTW11evkbjJB9gWHq/b57fbF67w5nEzrgv2i7CWMBfhMYivAOsKoyknuCJJ+C++3Iui23NkXNHqBpWtVBKRSnFxPkTOZh4kFkjZ1EjokbRhNWUGMLDjX1SEtzX9T5EhFf+fcUtZS9aZHxs/fdfzuttqrXRFnsab+IKFaXGqyi11NxuA65wNrEzymkqhsuiNOA7jCV8pxVKVA/w9NPw5ptQwc782iPnjhT6a/frrV8za8csnuv7HFfWubIIUmpKGsHBcO21UK+e0eq+vd3tfLzxY46cO+Lysm0ZRIDRtbfr1C4yspzqNdFoXE2WRMul1VslWhpQgPlOziinMUrxhFJcYW5PANGFENQjrFgBy5ZBhp3/18Iqp2Pnj3HvH/dyZZ0rebj7w/kn0PgUIvD77zBmjHH+RK8nUErx/N/Pu7xse8qpXfV2ZGRn6OUzNN7Cw8AyiZblEi0rMJbQeNDZxM4opxtF+J/lRIT3MBYdLBFcdRX07QunT+cNU0px5NwR6parW+B8J/8+mYzsDG0yrgGM1tPEDhP5bPNn7Dnt2hkXFuWUlesbtENkBwA2xm10afkajTOoKLUEaAzca25NVZRa5mx6Z5TTcOBWEcaI8BWQoRQTCiWtm1HKsbXemdQzJGckF7jlNG/PPObvnU90n2gaVWxUDJJqSiJ9+sAdVkO7T/d+mpCAEB7+y7UtaXstp8aVGhMeFM6G4xtcWr5G4wiJlr7mfjhwHdAIaAhcZ15zCrvKSYSKIlQEQjCsKx7BGG/6P/O612O9qoIt5WQZHyiIckrJSOHeP+6lZZWWTOtSYobeNC4gKQnirVapqBZejSd6PsH8vfNZfGCxy8qtUQMeftgY77LGT/xoV70dG+N1y0njUXqb++ttbE674nFkSr4Bw2RcrPbXmZvTs3w9ifUEz+JSTm/99xaHzx1m+fjlBPoH5p9A47OEhxsKypppXacxc+NM7llwD1vu2kKZgDK2ExeB2rXhFTuGgR2qd+CTTZ+QlZ2lu5s1HkFFqSjz8P9UlDpoHSbR4vSEUrstJ6WorxQNcu0tm9crJih+5XQq+RQvrXyJoU2H0rte7/wTaHya8HBITs55rUxAGT647gP2JuzlpZUvuaTcrCw4d87w6p6bDpEdSMlIYW+CDd9QGo17mWPj2k/OJnbGfZHtWb4Kr7dX9feH554zlJStpRmOnDtCsH8wVUKds+947u/nSMlI4aV+rql0NCWLsLC8LSeAAQ0HMLb1WF745wWGNRtW7G6N9u2DZs3gu+8uWwtasDaKsCxCqNG4E4mWZhjTj8rlGmMqCzjdleCMQcQHQEeMWb7vm8eFdoPuTvz9jUm4Tz1l2wP24XOHqVOujlNenI9fOM5HGz7i1na3XlrcTVO66dPHmOtkixkDZ1AptBLjfh7HxcyLxVquPYMIMFbFLRNQhg1x2ihC4zGaYowtlSfneFMHYKKzmdhtOYkQoBSZwBVK0dYqaKkIWwojsbvJyoJffjFaTUNsuKk9cu4Idcs7Z0b+6r+vkpmdyeM9Hy9mKTUllbvvth9WObQynw35jGu/u5aHFz3MO9e+U2zlOlJOAX4BdIzsyJrYNcVWnkZTEFSU+hX4VaKlm4pSqwubj6OW01pznyXC5Vm+QoFm+dpDRPxFZJOI/FbUvOyRbDrnvOEG2+FHzh2hdtna+eZzIukEH274kJvb3lzsK+ZqfJdBjQdxf9f7eXfdu/yw/Ydiy9eRcgLoUrMLG+M2kp5lY1BKo8lF7rpYRCqKyF8iEmPu7fjXyZe7JFrKXyonWipItHzmIH4OHCknS1/XQ8AyEZaLsJwCzvJ1wDTApVPZLQYRtrr0MrIyiE+Kd0o5vbfuPdIy03jsyseKWUJNSeaNN4xW+UUHvXYv93uZK+tcyYR5E9gUt6lYys1POXWt1ZWLmRe1E1iNs+Sui6cDS5RSjYEl5nlhaKOi1FnLiYpSiUB7ZxM7Uk5VRHgAaAd8hKGU5mOsB+90AbYQkVoYJumfFCWf/LAoJz8bdxmfFI9CUbOs43XCUzNS+WD9B1zf9HqaVGriAik1JZWAAMMtVm6LPWsC/QOZPXI2lUMrM/j7wRw9d7TI5UZEwP/9H1xhx4Vm11qGy/X/jv1nO4JGY2KnLh4KfGkefwkMK2T2fhJ9udUl0VIR51bCMBI7CPMHwoEIM0MxzwPMa0XhLYxJvdn2IojIJBFZLyLrM+19IuaDI+V07PwxAGpGOFZO32z9htMpp3mg6wOFkkHju1h7JndE9fDq/D72d5LSk+j3dT+OXzhepHJDQw0jH3vLgtQqW4saETW0ctIABFjqUXOblCv8LfLWxdWUUnEA5r5qIct+HVgl0fKsRMuzGKtZOO2635EWi1OK/yukUHYRkcHASaXUBhHpYy+eUmomMBMgLCysUOtHOerWi70QC+Cw5aSU4u21b9O+ent61e1lN56mdOKscgJoVbUVC8YuYOC3A+nzRR+WjV+Wb6vdHkpBbKzRgrJeDdeCiNC1VletnDQAmUopm58xztbFhUVFqa8kWtYDfTEaN8NVlNrpbHpnxpyKmx7AEBE5BPwA9BURlywhWrassdz3m2/mDYs9bygnR0ta/3fsP7af3M7kKyY7ZW6uKV0URDkB9KjTgz/H/Ul8Ujx9vuxzqfVeUNLTDS8R779vP06Xml3Yn7ifU8mnClWGplRgry4+ISKRAOb+ZEEylWgpa+4rAvEYSy19C8Sb15zCkXK6uiACOYtS6jGlVC2lVD1gNLBUKTXOFWWVKQMPPpjTOaeF2AuxBPsHUymkkt30H234iPCgcEa3Gu0K8TQlnAYNjKXeK9l/hfLQvXZ3/hz3JyeSTtDlky6sOVZwk+/8DCKAS+uLrTyyssD5a0oHDuriecB4M9p44NcCZv2dud8ArLfaLOdOYbdbTynOFFAgryM1FT77zFgFd8SInGGxF2KpEVHDbosoMTWRH3f8yPi24wkPCneDtJqSRrNm8N57BU/XrXY3Vt6+kqE/DKXXF734aLAxudtZLGOojpRTpxqdKBNQhr8P/80Nze3MpdBobPMSMEtEJgBHgJEFSayi1GBz77QfPVs44yHCZSilliulnPZSW1BOnYIpU+Cee/KGxZ6PddjnP2vHLC5mXmRiB6cnNGtKIRkZ9heydESbam1YP3E9Pev05LZfb+PO+XdyPu28U2lFjNaTI+UU5B9Et1rd+PvI3wUXTlPqsK6LlVIJSqmrlVKNzX2hGioSLb9KtIyRaAktTHqPKidXk5+1niNLvW+2fUOLKi0u+SrTaHJz/Lgxz+nzzwuXvlJoJRaOW8gj3R/h440f0+r9VvwR84dTafNTTgC96vZic/xmzl08VzgBNZqi8QbQE9gl0TJbouVGiZZi9a1XYrFnraeUIvZCrF1jiIOJB1l5ZCXjWo/ThhAauxTUIMIWAX4BvNz/ZVZNWEV4UDjXfncto38azf4z+x2me/VVGJxPn0PPOj3JVtmsOrqq8AJqNIVERakVKkpNxlheaSYwigIYV5RK5ZR4MZGLmRfttpy+22aM541tPdaV4mlKOGFhxr4oyslC11pd2XTnJqJ6RzFvzzyavdeMu3+72+6cqClToGfP/PMM8AtgxeEVRRdQoykEEi0hwAjgLuAKLk/uzZdSqZwsZuT2xpy+2/4dPev0dNoprKZ04u9vWIQWh3ICCA4I5pk+z7D/3v1M6jCJTzZ9Qr236jHu53F5rPpiYoxuRUeEBYXRuWZnlh5cWjwCajQFQKLlRwy3SH2B94CGKkpNdTa9TyunmjXhgw9gxoyc1y9NwLXRctp1ahc7T+1kVMtR7hBRU8KxtRpuUYmMiOS9695jz5Q9TL5iMvP3zqfrp13pOLMjr696nWPnj9Gzp+HCKD/6N+jP+uPrOZNa4o1vNSWPzzEU0l0qSi1VUcquRyBb+LRyCguDu+7K2zfvqOX0866fAbihmTa/1eTP/ffDgAGuybtBhQa8NfAtjt1/jHcHvYuf+PHQXw9R5806JN5wJRtCXiY1I9VhHv0a9EOhdOtJ43ZUlFoIdJFoGSvRcotlcza9Tyunc+fg6adhTq7Fgi0tp8jwyDxp5uyaQ7da3QrtWkZTunj8cRg2zLVlRARHcE/ne1g3cR17p+wluk80BKawvvx0Xlz5osO0XWp2ISIogsUHFrtWSI0mFxItXwOvAVdijDddAdjxCJkXpz3ElkSOHIFnn4U2bXJOwo1PiqdSSCWCA4JzxD+QeIBN8Zt4tf+rbpZUU1K5cMFwJ1QQLxFFoXGlxjzV+ym+nPAU52/sxW97f+P/rrLfvxfoH0ifen3468Bf7hFQo7lMJ6CFilKF8o3q0y0newYR8UnxVA+vnif+vD3zABjefHieMI3GFsOHw/XXu7/cgACofmEQm+I3EZ8U7zBu/wb9OZB4IF/zdI2mmNkO5K1oncSnW04W5RSQ6y7jkuKIjMjbpbcgZgHNKzfXq91qnCY8HA4cgOXLjfPu3Y2JuQcPwuHDeeP37Gl8LMXEGJ7FrRGB3r2N4927IT6XzgkIgCsNl3k89xwkBg9i0sbHWbhvoUP3R4MaD4KF8HvM79zb5d5C3adGUwgqAzslWtYCaZaLKkoNcSZxqVBOtlpOFseYFpLSk1hxeAVTOztt6ajRUK2aoZyuuso4P3kSqlSBTz+F55/PGz8lBUJC4N134e23c4b5+1/2+vDKK3k9T5QvD4mJsHmzsWzGHYPbErU3kgUxCxwqp0YVG9GscjPm752vlZPGnTxTlMSlQjlZt5yUUsRdiKN6WM7W5pIDS0jPSue6xte5UUJNSefVV2G0ldN6y/pKEyZAv3554wcFGfspU+CGXAah1s5IHnkEbsll12R5j7/5xlguo3VrYWCjgfy862cysjII9A+0K+fgxoOZsWYG59POUza4rJN3p9EUHhWlVki0VMMwhABYq6KU0x4ifFo5NW8OX38NTaxWVz+Xdo60rLQ83XoLYhYQERRBjzo93CylpiQTEQF9+uS9Xr++sdmjcWNjs0ezZsZmizJlDI/7990Hd701hM83f86Kwyvo18CGNjS5vun1vLb6NRbtX8SNLW60X7BGU0xItIwCXgWWY6wP+I5Ey8MqSv3kTHqfNogID4dx46Bz58vX4i7EAeQwiFBK8ce+P+jfsD9B/kHuFlOjKRBlTNeZGRkwoOEAQgJC+GXXLw7TdK/dnQplKjB/73w3SKjRAPAEcIWKUuNVlLoF6Aw85Wxin1ZO8fHGJNxfrZbKslg2Wc9xijkTw9HzR+nfoL+7RdRoCoxFOaWnQ2hgKAMbDWTunrlkO5iAH+AXwOAmg5m3Zx7pWeluklRTyvHL1Y2XQAF0jk8rp5gY+OgjmDnz8rW4pLwtpyUHlgBwdX2XLP6r0RQr1soJDG8mxy8cZ13sOofpRrYYydmLZy+97xqNi1ko0fKnRMutEi23Ar8Dzq0Jg48rJ1sGEZdaTlZjTksOLqF22do0qtjIneJpNIVi5Ejo1u3y+eAmgwnwC+CnnY678gc0HEDZ4LLM3jnbxRJqNKCi1MPAR0AboC0wU0WpR5xNX+qUU9yFOIL9gykXbJhVZatslh1axtUNrtZrN2lKBNWqwUsvXTZVrxBSgYGNBvLDjh8cdu0FBwQzpOkQ5u6eS0ZWIZbv1WicQKKlkURLDwAVpX5WUeoBFaXuBxIkWho6m0+pUE7W85zikw3vEBZFtDl+M2dSz+guPU2J4dAh2LUL2rW7fG1sq7EcO3+Mfw7/4zDtqBajSLyYyKL9i1wqo6ZU8xZwwcb1FDPMKUqFcsrdrWfdpbfs4DIA+tbv607RNJpCs21bXkOfIU2HEBYYdmmhTHtc0+gaKoVU4qutX7lYSk0ppp6KUltzX1RRaj1Qz9lMfFo5detm/AM/++zla3EX4nIYQ/xz5B8aVWxEjYgaHpBQoyk4FoMI6/WcwoLCGNZsGLN3ziYtM812QiDIP4ixrcfy6+5fSUxNdLGkmlJKGQdhIc5m4tPKKTwchgyBhla9nPFJ8ZfMyJVSrDyyMo8rI43Gm7EoJ4urIwu3tL2FxIuJ/Lrn17yJcsVLy0rThhEaV7FOomVi7osSLROADc5m4tPKaf9+w2v0H6bxYkZWBgmpCVQLqwbA7tO7SUhN4MraWjlpSg72lFO/Bv2oW64uH2/82GH6jpEdaVGlBZ9t+sxFEmpKOfcBt0m0LJdoed3cVgB3ANOczcSnldPWrfDLLzDfnBR/KuUUANXCDeW08shKAHrW7ekR+TSawmBRTllZOa/7iR+3t7+dxQcWczDxoN30IsLEDhNZE7uGzfGbXSeoplSiotQJFaW6A9HAIXOLVlGqm4pSjtd3scLtyklEaovIMhHZJSI7RMRpTVpQMkxrWYtBxMlkY7Jy1bCqAKw8upKqYVVpXNGBkzONxsto0gRGjcq7FAzAbe1uw0/8+GTjJw7zGN92PGUCyvDh+g9dJKWmJGCvPhaRiiLyl4jEmPsKBc1bRallKkq9Y25LC5reEy2nTOBBpVRzoCtwj4i0cElBZrdHoOmsOY9yMseb9PwmTUkiOBieegq+s2GYV7tcbQY3GczMjTO5mHnRbh4VQiowutVovt32LRfSbFn9akoJ9urj6cASpVRjYIl57lbcrpyUUnFKqY3m8QVgF1DTFWU5ajmdTD7JgcQDdKvVzU5qjcY7uXgRFi2CsnZWvpjWZRqnU07na1Y+udNkktKT9NhTKcZBfTwU+NKM9iUwzN2yeXTMSUTqAe2BNTbCJonIehFZn5l75NdJHLWc1sauBaBLzS6Fyluj8RQZGfDgg/Dee7bDr6p3Fa2rtmbGmhkopezmc0XNK+hZpydv/vcmmdmF+x/TeD0BlnrU3CbZi5irPq6mlIoDQ4EBVd0irRUeU04iEg7MAe5TSp3PHa6UmqmU6qSU6hRgq3PdCUaNglWrjHVvwFBOgX6BlAsux9rYtfiJHx0iOxT+JjQaD2AxiPjmG9vhIsJ9Xe9j64mt+XqCeKj7Qxw+dzhfv3yaEkumpR41t5m2IuVXH3sCjygnEQnEeBDfKqV+dlU5ERHGRNzKlY3zk8knqRpWFRFhbexaWlVtRVhQmKuK12hcguVbLbe1njXj2oyjVtlaPPv3sw5bT4ObDKZZ5Wa8/O/LDuNpfBc79fEJEYk0wyMBp1ewLS48Ya0nwKfALqXUG64s699/jaWyVxoW45xKOUXVsKoopVgbu1Z36WlKJCKGglLK2GwR5B/Eoz0e5d+j//L34b/t5uUnfjx25WNsjt+c7+Rdje/hoD6eB4w3j8cDbn85PNFy6gHcDPQVkc3mdq0rClq9GpYsgbXG8NKlltO+M/tIvJhI55qdHWeg0XgplnFUR62nCe0nUC2sGk8vf9phq2hs67E0rtiYqOVRDr2aa3wSe/XxS0B/EYkB+pvnbsUT1norlVKilGqjlGpnbgtcUZYtgwhrYwitnDQlFcs4qiNboZDAEJ7q9RR/H/6bP/bZX+MtwC+Ap3s/zdYTW5m9Q7s0Kk3Yq4+VUglKqauVUo3N/Rl3y+bTHiIspuS5ldOGuA2EBITQoopLpldpNC7n7ruN7mrLu22PiR0n0rBCQ6Yvnk5Wtv1m1phWY2hTrQ2PLXnM4fwojcZd+LRysnxVBgRAcnoyKRkpVAmtwqb4TbSp1oYAv8JZAWo0nua33+Dw4ZxrldkiyD+I5/s+z7aT2xzOZ/L38+f1Aa9z8OxB3lnzTjFLq9EUnFKhnAIDL89xqhJWhc3xm2lfvb0HJdNoisY778ArrxgTcvNjVMtR9Krbi8eWPMaZVPu9M/0a9GNwk8E8+/ezxJ6PLUZpNZqC49PK6fHH4cABuOmmy8pJKcXZi2dpV72dZ4XTaIrAxYuwZQucO5d/XBHh3UHvcvbiWaYvduyFZsbAGWRkZzBtoctcXmo0TuHTyiksDOrXNyYtWpRTQmoCAO0jdctJU3IJCjL2zjpPaV2tNfd3vZ+PN37MkgNL7MZrUKEBT/d6mjm75jB399yiC6rRFBKfVk6zZkHXrrB9+2XldPTcUfzFn9ZVW3tYOo2m8BRUOQH831X/R5NKTZgwb4JDZ68Pdn+QdtXbMWn+pEv/NxqNu/Fp5bRiBaxZA0eOXFZO+xP306xyM0ICnV4tWKPxOgqjnEICQ/h86OccPX+UyQsm2537FOQfxNc3fM25tHNMnD9Re47QeASfVk7W1nqnUk4RFhjG1hNb9XiTpsQzZYqxL6hP5O61u/NM72f4Zus3fLH5C7vxWlVtxcv9Xmbennm8sdqljlw0Gpv4tHKyzJ4PDITTKaepGFKR2AuxtK3W1rOCaTRFZOhQwyCibt2Cp3285+P0rd+Xu3+/m3Wx6+zGm9ZlGsObD+fRxY+y/NDywgur0RQCn1ZO1qbkp1NOExoYChiDwxpNSWb5cvj++8seyguCv58/P4z4gciISIb+MJRj54/ZjCcifD70cxpVbMSIWSOISYgpmtAaTQHwaeVkaTkFBRlWen5i3G6rqq08KJVGU3R+/x3efBNOnChc+iphVfh19K8kpScx8JuBduc/lQ0uy+9jf8dP/Bj07SCOXzheBKk1GufxaeX0xReQkgIdOxotp8zsTMoFl6NmhEsW3tVo3MaFC5CWBocOFT6PNtXaMHf0XGLOxHDtt9eSmJpoM17Dig2ZP2Y+J5JP0OeLPnqCrsYt+LRy8veHkBBjfzrlNMkZybSq2grDS7xGU3KxdOelpRUtn771+/LjjT+yKX4Tfb7sw4kk202xrrW68ue4P4lLiuOqL6/SCkrjcnxaOb3+OrRqBcfi0jmfdp4zqWd0l57GJwgONvapqUXPa1izYfw25jf2ndlHz897cvjsYZvxutfufklB9f6iN3tO7yl64RqNHXxaOf3zD+zYAXFnDa8QFzMvauWk8QksLafiUE4A/Rv256+b/+Jk8km6fdrN7gKF3Wt3Z9G4RZxPO0/nTzqzIMYlq91oNL6tnCzWeknZCZeuaeWk8QVGjzb2oaHFl2f32t1ZeftKwoPC6ftlX15e+bLNxQe71e7G+knraVihIYO/G8wL/7ygFynUFDs+rZws1nrnM09futaySksPSaPRFB8dOsD+/dCzZ/Hm26pqK9ZPWs/w5sOZvmQ6g78bzJFzR/LEq1OuDitvX8lNrW7iiaVP0OvzXrqbT1OslArldDbdUE4VylSgSlgVD0qk0RQPO3bAc89BQkL+cQtK2eCy/Hjjj7wz6B1WHF5B8/ea89qq18jIysgRLzQwlO+Gf8dXw75i56mdtP2wLS+vfJm0zCJaaWg0+Lhy8jPvLjHNUE5NKjXxoDQaTfGxYwd8/rnhO9IViAhTOk9h5+SdXF3/ah7+62Haf9SeOTvn5OjCExFubnszO+/ZybWNr2X6kuk0fbcpX235yuHKuxpNfvi0clq4EJSCpGxDOekuPY2vYFlkcNcu15ZTt3xd5o2Zx9yb5pKZncmNs2+k7YdtmbVjVo6WVPXw6swZNYc/x/1JpdBKjJ87nrYftuXzTZ/rZd81hcKnlZMFi3uWFlVaeFgSjaZ4sBhCOLMSbnEwtNlQdkzewbfDvyUjK4ObfrqJum/V5amlT10yPRcRBjQcwLqJ65h14ywAbp93O7XfrM0TS55gb8Je9wir8Ql8Wjndfz80bgyHzh4CoFnlZp4VSKMpJtytnMDwyTe29Vh2TN7BvNHz6BDZgef/eZ56M+rR/dPuvLH6DQ6dPYSf+DGy5Ui23b2NJbcs4co6V/Liyhdp+m5TOs7syGurXmNvwl69FIfGIVISXpCwsDCVnJxc4HRduxp98q3eb832k9vZN3UfDSs2dIGEGo17WbQIrrkG7r0XZszwnByHzx7mm63f8NOun9gcvxmAppWa0q9BP66ufzVdanWhRkQNYs/H8uOOH/l++/esP74egPrl6zOw0UB61e1Fl5pdqFe+nvbeUsyISIpSKszTchQGn1ZOV1wB69dD9VcjOZF8goynMvD383eBhBqNezl+HGrWhI8+gkmTPC2Nwb4z+5i3Zx6LDyxmxeEVpGSkAFAjogadanSiU2Qn2lVvR2hgKDtO7WDxgcUsPbiU5Azjf7tqWFW61upKp8hOtKjSgmaVm9G4UmOC/IM8eVslGq2cClqoyEBgBuAPfKKUeslR/MIqpw4dYNMmCH0+jEC/QM5OP1soeTUabyMrC86cgYiIwi2b4WrSs9JZf3w964+vZ93xdaw/vp49p/egMOobf/GnfoX6NKrYiLDAMNIy0ziTeoYj54/kWMLDX/xpUKEBDSo0oFbZWnm2amHVqBBSgQC/AE/dqleTn3IqaF3sTtz+i4qIP/Ae0B84BqwTkXlKqZ3FXVZ2NogYbotqVKhR3NlrNB4jKclYDffWW2HQIE9Lk5cg/yC61+5O99rdL107n3aeXad2sSdhD3sT9l7ajp0/RkKq7QlbAX4BxF6IJfZCLJnZmaRnpduMFxIQQkRQBBHBEZQLLkfZ4LKEBYURFhhm7IPCCA8MJywozIgXFEFYUBghgSEEBwRTJqAMIQEhlPEvQ1BAEEH+QQT6BRLoH5jj2E/8Lm2ClOhuSHfWxYXBE58bnYF9SqkDACLyAzAUKPYHcrBnP9T1K1EqmxrhWjlpfIeLF2HWLJg921ivDCAsDHr1gl9+gW7dYOfOnF7LIyKMcapvvoG2beHAAciwmldbrpyxwu6770L79nD4cM5l4MuXhzFj4Omn4cor4eBB4wPQQsWKcNttcPfdRjn79+eUuXLlskye3IURI7rw4j1GegtB/hepVDeekRNiqdnsOK9/dJyE1AQyyiSSUeYslEkkMOIs1WucIc0/gcSUc+CfBqZuSM1MJTUzlZMpJ4vj8TpP7o4nMf9YX1eXFZifv6AUXJ4qJpfzEWMFBZVtea6CCMy49nWmdpnqCundVhcXBk8op5rAUavzY0CX3JFEZBIwCSAoqHB9zsP61mTJwcr4+/nzUPeHCpWHRuONVKkCnTtDrNXKFZUqQYMGxnGzZpCYaLSwLFStCvXqGcctWhhrnVk7jq1e3Vj2XcQIv3gxp3KrWRNq1TIq0BYtIDk5p/KqUwdq1DBWnm7RAs6fN+YZWqhf3yijTBkj/MIF6zsqQ6Oq9ehaox4dGsEqP1ifaw5X06Ywpb+Rz1NPwcZNCvzTUP6pqIBUGjRNYdxtqQSFpjLz8xT2H05F+WWAXybZ/hepUTeFPgOSSMtMYenKFE4mpoB/OkrSUf4ZlK+URvOWGaSkZRCzP5Ok5Czwy0JJFkgmYRHZ1KmbTWqqIj4+m9Q0BSiQbJBsQkIVNWooklMUCWeySU83w1AoUYSUUVSuqkhJVpxPUWRkmA9HABTBZaByOUVSMiSlQlamIjQMqoVXK8CbkYcAEVlvdT5TKTXT8pPiRF3sKdw+5iQiI4FrlFJ3mOc3A52VUnY/DQo75qTRaDSlGUdjToWpi92JJ+Y5HQNqW53XAvTazxqNRuNevLou9oRyWgc0FpH6IhIEjAbmeUAOjUajKc14dV3s9jEnpVSmiEwB/sQwX/xMKbXD3XJoNBpNacbb62KfnoSr0Wg0pZmSPAnXp33raTQajaZkopWTRqPRaLwOrZw0Go1G43Vo5aTRaDQar6NEGESISDaQmm9E2wQAmfnGcj/eKhd4r2xaroLhrXKB98rma3KFKKVKZCOkRCinoiAi65VSnTwtR268VS7wXtm0XAXDW+UC75VNy+U9lEiNqtFoNBrfRisnjUaj0XgdpUE5zcw/ikfwVrnAe2XTchUMb5ULvFc2LZeX4PNjThqNRqMpeZSGlpNGo9FoShhaOWk0Go3G6/Bp5SQiA0Vkj4jsE5HpHpSjtogsE5FdIrJDRKaZ158RkVgR2Wxu13pAtkMiss0sf715raKI/CUiMea+gptlamr1TDaLyHkRuc9Tz0tEPhORkyKy3eqa3WckIo+Z79weEbnGzXK9KiK7RWSriPwiIuXN6/VEJNXq2X3oZrns/nYefl4/Wsl0SEQ2m9fd+bzs1Q8ef8c8ilLKJzcMF/D7gQZAELAFaOEhWSKBDuZxBLAXaAE8Azzk4ed0CKic69orwHTzeDrwsod/x3igrqeeF9AL6ABsz+8Zmb/rFiAYqG++g/5ulGsAEGAev2wlVz3reB54XjZ/O08/r1zhrwNPe+B52asfPP6OeXLz5ZZTZ2CfUuqAUiod+AEY6glBlFJxSqmN5vEFYBdQ0xOyOMlQ4Evz+EtgmOdE4Wpgv1LqsKcEUEr9DZzJddneMxoK/KCUSlNKHQT2YbyLbpFLKbVIKWXxJPAfxuqmbsXO87KHR5+XBRERYBTwvSvKdoSD+sHj75gn8WXlVBM4anV+DC9QCCJSD2gPrDEvTTG7YD5zd/eZiQIWicgGEZlkXqumlIoD4x8HqOoBuSyMJmeF4ennZcHeM/Km9+524A+r8/oisklEVohITw/IY+u385bn1RM4oZSKsbrm9ueVq34oCe+Yy/Bl5SQ2rnnUbl5EwoE5wH1KqfPAB0BDoB0Qh9Gt4G56KKU6AIOAe0SklwdksIkYS0cPAWabl7zheeWHV7x3IvIEhi+2b81LcUAdpVR74AHgOxEp60aR7P12XvG8gDHk/Ahy+/OyUT/YjWrjms/NCfJl5XQMqG11Xgs47iFZEJFAjBfvW6XUzwBKqRNKqSylVDbwMR5omiuljpv7k8AvpgwnRCTSlDsSOOluuUwGARuVUidMGT3+vKyw94w8/t6JyHhgMPA/ZQ5SmF1ACebxBoxxiibuksnBb+cNzysAGA78aLnm7udlq37Ai98xd+DLymkd0FhE6ptf4KOBeZ4QxOzP/hTYpZR6w+p6pFW0G4DtudO6WK4wEYmwHGMMpm/HeE7jzWjjgV/dKZcVOb5mPf28cmHvGc0DRotIsIjUBxoDa90llIgMBB4FhiilUqyuVxERf/O4gSnXATfKZe+38+jzMukH7FZKHbNccOfzslc/4KXvmNvwtEWGKzfgWgzLl/3AEx6U40qMZvdWYLO5XQt8DWwzr88DIt0sVwMMq58twA7LMwIqAUuAGHNf0QPPLBRIAMpZXfPI88JQkHFABsZX6wRHzwh4wnzn9gCD3CzXPozxCMt79qEZd4T5G28BNgLXu1kuu7+dJ5+Xef0L4K5ccd35vOzVDx5/xzy5afdFGo1Go/E6fLlbT6PRaDQlFK2cNBqNRuN1aOWk0Wg0Gq9DKyeNRqPReB1aOWk0Go3G69DKSaPJhYiUF5HJ5nENEfnJ0zJpNKUNbUqu0eTC9G/2m1Kqladl0WhKKwGeFkCj8UJeAhqaa/vEAM2VUq1E5FYMz9D+QCsM/3BBwM1AGnCtUuqMiDQE3gOqACnARKXUbnffhEZTktHdehpNXqZjLNPRDng4V1grYCyGb7jngRRlOAddDdxixpkJTFVKdQQeAt53h9AajS+hW04aTcFYpow1dy6IyDlgvnl9G9DG9CzdHZhtuEwDjEXhNBpNAdDKSaMpGGlWx9lW59kY/09+wFmz1aXRaAqJ7tbTaPJyAWO57AKjjHV4DorISDA8TotI2+IUTqMpDWjlpNHkQhnr+PwrItuBVwuRxf+ACSJi8fY+tDjl02hKA9qUXKPRaDReh245aTQajcbr0MpJo9FoNF6HVk4ajUaj8Tq0ctJoNBqN16GVk0aj0Wi8Dq2cNBqNRuN1aOWk0Wg0Gq/j/wEnz1hepBMcsQAAAABJRU5ErkJggg==\n"
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
}
|
|
}
|
|
],
|
|
"source": [
|
|
"fig, ax1 = plt.subplots()\n",
|
|
"\n",
|
|
"ax2 = ax1.twinx()\n",
|
|
"ax1.plot(time, np.sum(mimo_step_down, 1), 'b--')\n",
|
|
"ax2.plot(time, mimo_step_down_response, 'g-')\n",
|
|
"\n",
|
|
"ax1.set_xlabel('time')\n",
|
|
"ax1.set_ylabel('Tokens Staked', color='b')\n",
|
|
"ax2.set_ylabel('Conviction Accumulated', color='g')\n",
|
|
"\n",
|
|
"plt.title('Conviction and tokens staked for proposals 0 and 1')"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 83,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"output_type": "execute_result",
|
|
"data": {
|
|
"text/plain": "Text(0.5, 1.0, 'Support for Proposal 1')"
|
|
},
|
|
"metadata": {},
|
|
"execution_count": 83
|
|
},
|
|
{
|
|
"output_type": "display_data",
|
|
"data": {
|
|
"text/plain": "<Figure size 432x288 with 2 Axes>",
|
|
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/vPbDayzevRiAMxudyT197mFw28H0a9kvoB5KdWlQrwERxRHExsZy7733MmHCBJYvX865554bbNMMdZCyw64iQn5+PrfffjsrV66kRYsWTJo06aR9JnFxFY4mlaCqPg3pltf+9OnTyczMZNWqVURGRtK6deuS9uvVq1dyrdPp5MSJqgMsN2nShH379pUMnTVu3LjKMtWgvL7YAfxXRH6Ptb7jSn82WBpbu2VV/VFVe6lqN1W9TFUP29eY9ccXZ92eB9h1dBd3fXYXaS+kccPcG8jMy+SvF/yVjX/YyIbbN/DMkGe4qN1FIS0yAGNbj+WyhpcBcMcdd5CUlMRjj9m9tsgQruzatYvvv/8egBkzZtCvX7+STj0lJYXjx48za9asCsvXr1+fnJycU8537tyZjIwMVqxYAUBOTk652xzmzp1Lfn4+2dnZLFy4kN69e3P06FEaN25MZGQkCxYs4Oeff67yc1RkB8DIkSOZNm0aANOmTePSSy+tsj5fKa8vVtVsVR2sqh08z4f81mAZQmOcxQ9s3b2VTQc2MaztMBx10K1JP5LOU98+xRs/vgHAlV2u5Jaet/Drlr+um5PoTqAYcFn/uO69917+9Kc/8f3333PeeWbfbl2mJdYEvj/rq4ozzjiDadOmccstt9ChQwduu+02YmNjufnmm+natSutW7cuGf4qj6uvvpqbb76Zl1566SRBioqKYubMmdx5552cOHGCmJgYvvrq1G0C5557LsOGDWPXrl38+c9/Ji0tjWuvvZYRI0bQq1cvunfvTufOnav8HOPGjePWW28tdzHAQw89xOjRo5k6dSotW7bk/fff9+HO1A1sW3VWE2qz6uybl75hwYsLmHjJRBwpdUdo8oryePLbJ3l28bOICDf1uIkH+z1Iy4a+/PMLXZZ8s4SsjCxGrhkJ0XD8+HE6dOhA27Zt+e677+qmeJ6mlLfSKZCkp6czfPhw1q9fH5T2J02aRHx8PPfff39Q2i9NTVadhQJ1p0euAm9EgLrUgX28+WPO/NeZPPHtE1x91tXsuGsH/xr2rzovMgD5mk+eK69kA218fDx/+ctfWLJkCbNnV70x1WAwhA9h49Es/MdCFr68kEeHPYokhbbYnCg6wT2f38Mrq16hS6MuTB42mf6twmxF1hZgK/A/INk6VVxcTPfu3cnNzWXDhg3Exob2PJPBItgejeEXjEcTZNStCII4QltktmRv4byp5/HKqld44PwHWH3L6vATGbDmaNycFBIoIiKCyZMnk56ezhNPPBEsywwGQ4AJH6FRS2hCma92fEWvKb3Yc2wPn1zzCc8MeYZIZ3jGAFt9ZDX/Pvhv3HknB+rs378/v/vd73juuedYt25dBaUNBkM4ET5C4/FoQlVrPvjpA4a9O4zWCa1ZfctqftPhN8E2yVZO6AkOFB2g6FjRKe89//zzJCQkMHbsWAoLbYuzajAYQoTwEZoQ9mheXfUqo2eNpldaL74Z9w0tGrYItkm2ExUZBUDh0VOFpFGjRkyZMoXVq1ebvTUGw2lA2OyjUbdnh2+Iac2rq15l/LzxDG0/lFlXziIuKqTn7PxGZIQ1JFie0ABcdtll3HDDDTz55JMMGDCAIUOGBNI8Qy1Y8DUcPeq/+ho2hAsG+a++8qgLaQLef/99Jk2axMaNG1m+fHm58dDqKuEjNCG0es7LBz99wK2f3Mol7S9hztVziHJGBdukgBEVYX3WouOnDp15efnll1m2bBnXXnstq1atokWL8Pf0woGjRyEhwX/1HTniv7rKo7i4mDlz5jB8+PASoanKk+7Vq5ctHf2bb77JWWedVa7QnHXWWXz44Yfccsstfm832ITN0NmQHkOY0HpCyHg0y/cu57rZ19GneR9mjZ51WokMWDuuAQpzKp6DiYuLY9asWeTn5zNy5EiOHz8eKPMMdYj09HQ6d+7M2LFj6datG6NGjSIvLw+wBKN3796cddZZjB8/vuQH58CBA5kwYQIDBgzgmWee4aOPPuL//u//6N69O9u3b2fcuHElEQJWrFjB+eefz9lnn825555LTk4OCxcuZPjw4YC1YfP6669n0KBBdOjQgVdffRWwNiEPHjyYc845h65duzJ37twSe8844wxuvvlmunTpwkUXXcSJEyeYNWsWK1eu5Nprr6V79+6nxD8744wz6NSpU0DuaaAJG6ERz3+hQEZOBpe+dylN45sy56o5IR+XzA5Khs6OVz7Zf8YZZzBz5kzWrl3LmDFjKCqq2AMynL5s3ryZ8ePHs3btWho0aMDkyVY23DvuuIMVK1awfv16Tpw4wbx580rKeNMEPPLII4wcOZLnnnuOH3/8kXbt2pVc400T8OKLL7JmzRq++uqrCtMEfPLJJ3z//fc89thjZGRkEB0dzezZs/nhhx9YsGAB9913X4nQbd26lT/84Q9s2LCBhIQEPvjgA0aNGkWvXr2YPn06P/74Y7nthCthIzTrd67n8+zPg+7RFLuLGfPBGI4VHOPjMR/TKK5RcA0KEl6PpiinauG45JJLePnll5k3bx433ngjbre7yjKG04uyaQK+++47ABYsWMCvfvUrunbtytdff82GDb9kua1pmoCIiFNnFLxpAlJSUkrSBKgqEyZMoFu3blx44YUhmyYgFAibOZoDhw+wNW8rF3NxUO34y8K/sOjnRUy7bBpnNT4rqLYEk6jIKBAoPObb8uXbb7+dQ4cO8ec//xlV5Y033iAyMjz3GBmqz+mQJiCcCRuPZvDZg7mj+R1B9WiW7lnKk989ydizx/K7s38XPENCgHpR9UiLSqNeUb2qL/bwyCOP8OSTTzJ9+nQuvfRSapzW2xB2nA5pAsKZsPFoCPKisxNFJxg3ZxzN6jfjxaEvBteYECAuOo7xjcdDNaanRISHH36YlJQUbr31VoYMGcLcuXNp1Oj0HH4MVRo29O9KsYYNq77mdEgTMHv2bO68804yMzMZNmwY3bt35/PPP6/65tQBwiao5vIXlpMxLYPLhl5Wrc7NX/zp6z/xxLdP8OX1X3Jh2/LX5p9WKFZAzd7AP6tf/MMPP+Saa64hOTmZd999lwEDBvjZQIOvBDuopkkT8AsmqGaQ2X9oP9vztgel7c1Zm3l28bNc3+16IzJeBKZmT2XxzsU1Kn755ZezbNky4uPjGTRoEI8//jgul8vPRhoMhkAQNkKjBCcEjapy1//uIjYylueGPBfw9kOZhKgEYl01dy/PPvtsVq5cyZgxY5g4cSLnnnsuy5Yt86OFhrpA69atg+bNgOXRhII3U5cJH6EJUgiaL7Z/wRfbv2DSwEk0iW8S2MZDnCuaXkGPmB61qqN+/fq8/fbbvPfee+zfv58+ffpw0003sX//fj9ZaTAY7CZshAYIuEfjcrt44KsHaJvYltt73x7QtusEkUBB7asREa666io2bdrE/fffz7Rp02jTpg133XUXe/bsqX0DBoPBVsJGaIKRJmDG+hmsPbCWJwc9edqFmPGF6QemM/PnmX6rr379+jz33HNs3LiRa665hn//+9+0bduW6667jm+++SYk490ZDIZwEpoApwlwuV08vuhxujXpxpVdrgxYu3WJYkcxuYW5fl963r59e6ZOncq2bdu49dZbmTdvHgMHDqRz5848/vjjbNiwwYiOwRBChM0+mhKhCZDW/HfDf9mSvYVZV87CIWGj134lKiKKo66jUIw1jOZnWrVqxUsvvcTTTz/N+++/z2uvvcbEiROZOHEiHTt2ZNiwYQwaNIj+/fvToEED/xtwujIR2OXH+loCNqclqgtpAv7v//6Pjz/+mKioKNq1a8cbb7xBgj/DZAeRsOkhS4bOAtGWKk98+wRdGnXht2f8NiBt1kWiIqIocheBzUk0Y2NjGTt2LN9++y179+5l8uTJtGrVismTJzNixAiSkpLo2bMn48eP55VXXmHlypUUFPhh8uh0ZRfQ2o8Pf4pWOXjTBPz0008l5x577LEKRQasNAH+FhmwhCYjI6Pc94YMGcL69etZu3YtHTt25KmnnvJ7+8HCVqERkXQRWSciP4rISjvbqhdRj1hHbEA8ms+3f86GzA082PdB481UQmREJIXuQghgQOa0tDRuu+02vvjiC44cOcL8+fN56KGHSEpKYtasWdx666307t2b+Pj4Eq/nnnvuYfLkyXz22WesXbuWrKwsM/QWQpwuaQIuuuiikoCeffr08etCl/L6YhFJEpEvRWSr5znRbw2WIRBDZxeoapbdjYzoOQICtMXib9//jdT4VK46q+rosKczURFRFLoKbfdoKiI6OppBgwYxaJCVvlFVSU9PZ9WqVaxevZotW7awdetWFi5cWNJxeYmMjCQ1NZW0tDSaNm1K48aNuffee8M2X0ios3nzZqZOnUrfvn258cYbmTx5Mvfffz933HEHEydOBOD6669n3rx5jBgxAvglTQBYYfuHDx/OqFGjTqrXmyZg5syZ9O7dm2PHjlWYJmDp0qXk5ubSo0cPhg0bRuPGjZk9ezYNGjQgKyuLPn36MHLkyJL2ZsyYwauvvsro0aP54IMPuO666/jnP//J888/X2VStddff92n6NPVpGxf/BAwX1WfFpGHPMcP+rtRCKM5mpIJZ5s9mvUH1/Plji95YtATZqVZFURFRFHoLmT+S/NJbpFM9/bdAVi8fjFJ9ZM4o5UVSuPr1V9X6UGkJaeddH2rJq1ol9aOwqJCvl33bZW2tG7amnZp7WhW1IwdO3dwW9fbaD6oOTl5OSzbuIzsY9kcOHyA7Jxsso+VemRnsz5jPTv37iQiIoJ//etftbsphhpRNk3ASy+9xP3338+CBQt49tlnycvL49ChQ3Tp0qVEaGqaJqA8vGkCYmJiStIEDBs2jAkTJrBo0SIcDoff0gQ88cQTREREcO211/pcpoZcCgz0vJ4GLKSOCo0CX4iIAq+o6pSyF4jIeGA8/JLDpCYs+mkRudm5XMIlNa7DFyavmEx0RDS39Ay/dKv+pmlyU5w4WTx9Me3j2tO9aXcAVuxaQbuYdpzRyBKOxTsXVyk0Per3OOl6aSi0S2pHkauIxT9XHebGkeA46fqGKQ1p3qA5uQW5LNm7pOQ6J04ae/4DK+JERL0Ivu77tYlKEEROlzQB06ZNY968ecyfP98nuzxElJmamFJOX1teX9xEVfcBqOo+EWnsa4PVxW6h6auqGZ4P8KWIbFLVRaUv8HzgKWAF1axpQ3kFeeS6cm31aHILc3ln7TtceeaVJMcm29dQmHBmpzM5s9WZp2za/GPXP550/Oeuf65WvaWvjyOOid0n+ly27PVNacrEXhWX37V5F/u37SevWx7P/sf65Rwbe/plTA023jQB5513XqVpAsoOjXnxJU1A7969ycnJKXfobO7cuTz88MPk5uaycOHCkpWO/kwT8L///Y9nnnmGb775prrfsWJVrXwsrpy+uDoN1BZbhUZVMzzPB0VkNnAusKjyUjVjaLeh8L0dNf/CzA0zySnMYXzP8fY2FE5Eex51lJaNW9Jyf0v2d91PcXExP/zwA/369Qu2WcGlJZDu5/qq4HRIE3DHHXdQUFDAkCFDAGtBwH/+85+qb44PVNAXHxCRVI83kwoc9Etj5WBbmgARiQMcqprjef0l8Jiq/q+iMrVJE8B04BVgAOCsWRVV0ee1PhwrOMaG2zdUx6011GHyduSR80MO+h8l9depPP/889x3333BNiugmDQBdTtNQEV9MTAYyC61GCBJVR+ww2471+Y2Ab4TkTXAcuCTykSmtny6+lPmZM2xq3o2ZW1i2d5l3HTOTUZkTiN+PPQj/876N4mxibRp04alS5cG2ySDobpU1Bc/DQwRka3AEM+xLdg2dKaqO4Cz7aq/LNnHsykoKrBtjmb62uk4xMGYs8bY04AhJOmU0ImExAQiXBH06dOHb7+teoWbwb+EQpqAukxFfbGqZmN5NbYTNrsN7YwMoKq8s+4dBrcZTGr9VFvaMIQmybHJnBl9Jk51ct5557Fnzx6fJn3DDbOBNfjU5b9B+AiNjbHOluxeQvqRdK7rdp3/KzeENDlFOWwr2EZRXhH9+/cHOO28mujoaLKzs+t0R1fXUVWys7OJjq6bK2vCZsOmndGb31v/HtER0fy2s4lrdrqxM3cnHx76kLuO3sVZvz6LhIQEFi1axHXXnT4/Opo3b86ePXvIzMwMtimnNdHR0TRv3jzYZtQIIzRV4FY3H276kKHth1K/Xn2/128Ibbyx7FyFLpxOJ/369WPRIltW6IcskZGRtGnTJthmGOowYTN0hmJLKufle5eTkZPBFWdc4d+KDXUCp8NaK+8qcAHQv39/Nm/eXBJqxGAwVE3YCI1diwE++OkDIh2RDO843O91G0Ifp9MjNIW/CA2cfvM0BkNtCB+h8TFmUXXr/HDThwxuO5iE6AS/1m2oG5QIjcejOeecc4iLi2PhwoVBtMpgqFuEjdAkxyaTFJHk1zp/yvyJHYd3mEUApzElQlNkCU1kZCT9+/fnyy+/DKZZBkOdImyE5rKzL2NY8jC/1vnp1k8B+E2H3/i1XkPdoWSOJt9Vcm7IkCFs2bKFXbtsTg1pMIQJYSM0uP1f5afbPqVbk240b1A3lxQaao/Xo3EX/vIF8wY9NF6NweAbYSM0H/zwAZ8f/txv9R3NP8p3u75jWAf/ekmGukXZVWcAXbp0ITU11QiNweAjYSM0sZGxRDv8t2v2yx1fUuwuNsNmpzkNoxsyOnE0zeKalZwTES688EK++uor3G4bXGmDIcwIG6G5pPMlDEgc4Lf6/rftfyREJ9CneR+/1Wmoe0RHRXNm7Jk0cJyc4vfiiy8mOzublStXVlDSYDB4CRuhQfHrZs35O+dzQesLiHCETfAEQw0o1mK2F27n6LGjJ50fOnQoDoeDjz/+OEiWGQx1h7ARmjeXvcnHWf75R7/j8A7Sj6QzuE1AImgbQph8dz5vZ7/N1v1bTzqfnJxM3759jdAYDD4QNkJzPP84+e58v9Q1f8d8AAa3NUJzuhMTGcONKTfSueGpaXqHDx/OmjVr2L17dxAsMxjqDmEjNP6MDDB/53zS6qfRKbmTX+oz1F2cTicto1sSL/GnvDdixAgA5s2bF2izDIY6RXgJjR8madzq5uudXzO4zWCTstmAivJj3o/sP7L/lPc6d+5M+/btmT17dhAsMxjqDuEjNG7/eDQbMzeSmZfJBa0v8INVhjqPwJzDc9iUuenUt0QYNWoUX3/9NVlZWUEwzmCoG4SP0Php6Oy7Xd8B0L9V/1rXZaj7iENwOBy4i8vfL3PllVficrmYM2dOYA0zGOoQRmjK8N3u72ga35S2iW39YJUhHHA6nLiKXeW+16NHD9q2bcv7778fYKsMhrpD2AgNCqK1F5pvf/6Wfi37mfkZQwlOcZZEby6LiDB69Gjmz59vhs8MhgoIG6Hxh0ez++hufj76M/1a9POTVYZwoDKPBmDMmDG4XC5mzpwZQKsMhrpD2AhNm4Q2NIlqUqs6Fu9eDEC/lkZoDL/gcDgqFZpu3bpx9tlnM23atABaZTDUHcJGaH7b+bf8KuFXtarju13fERcZx9lNz/aTVYZwoCqPBmDs2LGsWLGCjRs3Bsgqg6HuEDZCg5taxzpbtncZ5zY718Q3M5yEU5y4XJULzTXXXIPT6TRejcFQDhUKjYhcXtnD1wZExCkiq0XE1u3T/1r+L+Znz69x+fzifNbsX8O5zc71o1WGcMAXj6ZJkyYMGzaMN954g8LCwgBZZjD4Ttm+WESSRORLEdnqeU60q+3KPJoRnsfvganAtZ7Ha8B11WjjbsD28YR2Ce1oHNW4xuXX7F9DkbvICI3hFC5PvZwLEy6s8rpbb72VgwcPmkgBhlClbF/8EDBfVTsA8z3HtlCh0KjqDap6A1YA/jNV9QpVvQLo4mvlItIcGIYlTrYytO1QujboWuPyy/cuB+BXzWo3z2MIP5rGNCXZkVzldRdffDFt2rTh3//+dwCsMhh8p4K++FLAO9Y7DbjMrvZ9maNprar7Sh0fADr6WP8/gAewZlDKRUTGi8hKEVlZXFzsY7XloDUvCrA8Yzlp9dNo1qBZ1RcbTiu25W9jS86WKq9zOBzccsstfPPNN2zYsCEAlhkMAER4+1DPY3w51/yDU/viJt6+3fNc8yGhKvBFaBaKyOciMk5ExgKfAAuqKiQiw4GDqrqqsutUdYqq9lLVXhERNZ+Ef3Lxk3ye/XmNyy/bs8wMmxnKZfHhxXx35DuffszcdNNNxMbG8sILL9hvmMFgUeztQz2PKaXf9LUvtpMqhUZV7wD+A5wNdAemqOqdPtTdFxgpIunAe8AgEXmn5qZWaWeNN2wePnGYrYe2cm6aERrDqVzR/ApGp4yuxC//heTkZG688UbeeecdMjIy7DfOYKiaivriAyKSCuB5PmiXAb4ub/4B+ERV7wE+F5H6VRVQ1YdVtbmqtgauBr5W1eosIqgWtUkTsHr/agB6pfXyp0mGMCE+Mt7KR1P5wrMS7r33XlwuFy+++KK9hhkMPlBJX/wRMNZz2Vhgrl02VCk0InIzMAt4xXOqGTDHLoNqirprITT7LKHpkdrDnyYZwoSNxzey4vgKn4WmTZs2jB49msmTJ5v4Z4ZQ5mlgiIhsBYZ4jm3BF4/mD1iu1zEAVd1KNSeNVHWhqg6vvnnVaqPGQ2er96+meYPmpMSm+NkqQzjwU85PLM1Z6rPQAEycOJHc3Fyef/55+wwzGKpJ6b5YVbNVdbCqdvA8H7KrXV+EpkBVS3agiUgEtV7j5X9qKzQ9mhpvxlA+DnHgUle1hOaMM85gzJgxvPzyyxw4cMA+4wyGOoAvQvONiEwAYkRkCPA+8LG9ZlWfms7RnCg6waasTXRv2t3/RhnCAqfTWW2hAXj00UcpLCxk0qRJtthlMAQaETlfRK4Rkd95H76U80VoHgIygXXALcCnqvpILWz1O+q2HKyaeDTrDq7DrW7j0RgqxClOXG6XT6vOStOxY0duu+02pkyZYvbVGOo8IvI28DzQD+jtefi0gsqXjSuTVHUi8KqnMaeITFfVa2tor99Rt1qJz2ogNGYhgKEqaurRgOXVvP3229xzzz18/vnnJqGeoS7TCytKTLWnTnzxaFqKyMMAIhIFfAhsrW5DdtOzcU9S66VWu9zq/atJjE6kVcNWNlhlCAecDidudddIaJKTk3nsscf48ssvee+99/xvnMEQONYDTWtS0BehuQHo6hGbecBCVZ1Uk8bswiEORrQZQcd4XyPj/MK6g+vo2qSr+aVpqJCaLAYoze23306vXr344x//yKFDti3sMRjsJgX4yRMp5iPvw5eCFQ6dicg5pQ5fxNpHsxhrccA5qvpDrUz2IyVDZ9VcDKCqrD+4nuu7XW+TZYZwwOl04saNFtVswYnT6WTKlCn07t2bO++8k+nTp9tgpcFgO5NqWrAyj+aFUo+ngcPAmZ7jkNocUFRYxF+W/YXFhxdXq9yeY3s4VnCMsxqfZZNlhnDA6XAC4DpRQ5cG6NGjBxMnTuTdd99l5syZ/jLNYAgYqvoNsAmo73ls9Jyrkgo9GlW9wD/m2Y/T4WRgs4G0ONaiWuXWH1wPYITGUCm9G/WmW+NuON3OWtUzYcIEPv30U2655RZ69epFu3bt/GShwWA/IjIaeA5YiJXP+GUR+T9VnVVVWZ/CJYvIMKw8NNHec6r6WI2stQGv0FDNLANeoenSyOcUO4bTkOjIaKId0dX+fpUlIiKCGTNm0LNnT0aNGsWSJUuIiYnxj5EGg/08AvRW1YMAItII+AorRFml+BLr7D/AVcCdWCp2JRBSS7TUreQU5lDorl4K3fWZ62lWvxmJMbZlMDWEAfvy9/HN8W8oyCuodV1t2rThnXfeYc2aNdxwww243dXcnGMwBA+HV2Q8ZONjYGZfLjpfVX8HHFbVvwDnAdUbo7KZ/BP5vLD6BVYfXV2tcusPrjfDZoYq2XdiHwtyFpB/PN8v9f3mN7/hmWeeYebMmTzySEjtfTYYKuN/pXKTjcPKTfapLwV9GTo74XnOE5E0LBVrUyMzbaImkQFcbhc/Zf7E7b1ut8ssQ5jQPaU73Zt2x1HP16waVXP//fezfft2nn76aaKjo3n00Uf9VrfBYAeq+n8icgVWkGXByk0225eyvgjNPBFJwJoE+gEroOZrlZYIMDURmh2Hd5BfnE+XxmZ+xlA5DqfD+mdV5L86RYR//etfFBQUMGnSJFTVxEQzhDyq+gHwQXXL+SI0z6pqAfCBiMzDWhDgnzEEP1ETodmYtREwCwEMVXPgxAFWHl1JvyP9aEhDv9XrdDp57bXXEBH+8pe/4HK5eOyxx8zmYUNIISLfqWo/Ecnh5Mj9AqiqNqiqDl+E5nvgHKwaC4ACEfnBey4UKBGaamym25y1GYBOKZ1ssckQPhwtOsqKvBV0P97dr0IDv4iNw+Hgr3/9K9u2bWPq1KnExsb6tR2Doaaoaj/Pc5WZlSuiwkFnEWkqIj2x0gP0EJFzPI+BQEj9K6hJZIBNWZtoEteEhOgE+wwzhAVOp7V/xl1ozwoxh8PBq6++ytNPP83MmTPp27cv6enptrRlMNQUT/TmKs+VR2WzmxdjRQBozslRAu4FJlTfTPuoydDZ5uzNxpsx+ITT4QQFV2HNIwNUhYjw4IMP8umnn7Jz50569uzJ9OnTqUGgXIPBLk6aZ/AkwezpS8EKhUZVp3miA4xT1UGqeoHnMVJVP6ydvf7F+4+xOkKzKWsTnZM722WSIYxwOKzFAK4C+4TGy9ChQ1mxYgWdOnXiuuuuY8SIEezZs8f2dg2GihCRhz3zM91E5JjnkQMcAOb6Uocv6zWbi0gDsXhNRH4QkYtqY7i/8Xo0vpKVl0X2iWzj0Rh8wjt05sq3X2gAOnTowLfffsvf//53FixYQM+ePcnLywtI2wZDWVT1Kc/8zHOq2sDzqK+qyar6sC91+CI0N6rqMeAioDFW2oCna262/4mOimZg6kCa1vMtVYJ3IUDnFOPRGKqmRGhsHDorr80//vGPvPbaaxw8eJAtW7YErG2DoQKWi0jJahgRSRCRy3wp6IvQeMejfgO8oaprSp0LCWKiYxiYNpCm0b4JzaasTYARGoNvOB3OgA2dlaVzZ+s7un379oC3bTCU4VFVPeo9UNUjgE87jX0RmlUi8gWW0HwuIvWpdvZ0e3G5XOQU5FDk9m1H3ebszdRz1jNZNQ0+UbLqrCjwX3tvhGcjNIYQoDy98Ckwsy9C83vgIayonXlAFNbwWchw6NAhXlj3AptzN/t0/aasTbRPal+SZ8RgqAyHw/pnEgyPpkGDBqSkpBihMYQCK0XkbyLSTkTaisjfgVW+FKxSjVTVjRV6xnucjRXvLGSIj41neIvhpBWm+XT9tkPbzLCZwWcaRjfkz2l/xpHsv1hn1aFdu3ZGaAyhwJ3An4GZWNMnXwB/8KWgT25PTRCRaGARUM/TzixVtSVyYEx0DL0a9YKsqq91q5sdh3cwrMMwO0wxhCHiFMv7rWU+mprSrl07lixZEpzGDXWeivpiEUnCEo3WQDowWlUPV1SPquZijW5VGzt/ohUAg1T1bKA7MFRE+tjRUFFhERnHM8h3VR2Cbe+xvRS4Cmif1N4OUwxhSLEW88mRT9h+MDheRbt27di1axeFhdXLt2QweKioL34ImK+qHYD5VCAiIvIPz/PHIvJR2YcvBlTp0YhIO2CPqhZ4ws90A97yrDioELV2UR73HEZ6HrZsc84+lM1/Nk1hcNOraUXlQ2JLD1udRVxSO9LtMMYAWH51U6yfUHUeB2zI30DK3hQaf9aYH7b8UGWRDs07kJaSRk5eDj9s+YGz2pxFcsNkso5ksSF9Q5XlvdfTzRIat9vNzz//TIcOHfzxiQynEZX0xZcCAz3np2GlaH6wnCq8YWaer6kNvgydfQD0EpH2wFTgI+BdrFVolSIiTqzJovbAv1R1WTnXjAfGA0RFRflueSnUrRQVQ0ahkJNR+bWLd2wDoKCoPeuruNZQO44XQZcwWNgX4YzggXYPQDZkPJXBgr0LqiwT3yietAZp5OTnsGDvAlKbppIcl0x2bjYL9ldd3ns9/aHdwF9WnhmhMZRDhIisLHU8RVWnlL6gvL5YRJqo6j4AVd0nIo3Lq1xVvRP+ScCnnuDK1TPQh2vcqlosIr8F/qGqL4uIT6ksVdUFdPfks5ktImep6voy10wBpgDExcXVyONRt6KAyyHEtwCtZE1A9p7tRDgjaTWoBc7gzO2eFuzeD03WV31dnUCAXwPHINWdyqNn+zjVKJCqpa4X6KgdedS3rQe8Ou9VOro70vH3HQGzxNlQIcWq2quyC8rri2vQzkjgHyKyCHgP+FxVfZq59EVoikRkDDAWGOE5F1kd61T1iIgsBIYCfu9+SqcJ0MYgbSu+NiN3G6mpbYhob5Y228oJcIXUtt5a4gQSqxchHE69vjrlm8Q2oYGzAU2bNiU2NtYIjaHWlOmLD4hIqsebSQUOVlH2BhGJBC4BrgEmi8iXqnpTVe368pv+BuA84AlV3SkibYB3qiokIo086omIxAAXApt8aK/aqKpn9keQKj5RRsZ20pqZhQB244gAlwk8XCtGNhpJjwY9EBHat29vwtAYakQlffFHWA4EnucqA2SqahHwGZZHswprnqdKfNlH8xNwV6njnfgW6ywVmOYZG3QA/1XVeb4YVV1KpwlQqTg+jqqyN2MbZ3XtZ4cZhlJIBAR+e2OYIZTcxI4dO7JmzZqgmmOos5TbF4vI98B/ReT3wC7gysoqEZGhwNXABVgLB14DRvtigC+rzvoCk4BWnuu96TsrGaACVV0L9PDFiNrinaNBKvdojh7NIi8vh2bGo7EdR6QRmtoyOWMyLU60YAQj6NSpE7Nnz6awsLDGi2YMpycV9cWezfeDq1HVOCxP5pbqLgjwZY5mKnAPlpsUkn1HiUejUulg4N691oqztLR2gTDr9Mbj0aibKoczDeVTTDFFLit+X6dOnXC5XOzYsaMk0KbBEEhU9eqalvWlCziqqp+p6kFVzfY+atqgHXjnaITKhWb//nQA0lIrdcYMfsAZAa4I0JD8aVI3cIgDt9sK5Nmpk5U7afNm3+L5GQz+RkQuF5GtInLUm/xMRI75UtYXj2aBiDwHfIi1wxQAVa1611qASG6YzEVpwymMSq5caA6kA9CkSRhs7ghxRKA4ArSYaq5RNHgREdwuS2g6drSWOBuhMQSRZ4ERqrqxugV9EZpfeZ5Lr9NWYFB1G7OL+nH16Z7Yi/VF4HZUvBhg//50EhMbEx0dG1D7TkdEPB5NkOKDhQOlPZqEhAQaN25shMYQTA7URGTAt1VnF9Sk4kCSn5/PvrxDFDlTiHBUPFG6f386TZq0DpxhpzEOhyU0biM0Ncbh+EVowBo+M0ucDUFkpYjMBOZw8ujWh1UVrHKORkSaiMhUEfnMc3ymZzlcyLBn3x7e2jGFw/kH0Er2wx3Yn07Tpq0DZtfpjHfozMdcdIZycIijZOgMLKExHo0hiDQA8oCLsDbvjwCG+1LQl6GzN4E3gEc8x1uwQktPra6VdpGaksrlzcdwLDoFqWDDv9vtZv+Bn+nb77KA2na6IgLqBLcJOFxjHA4Hbj1ZaDIzMzl8+DCJiYlBtMxwOqKqNU546cuqsxRV/S+e9M2e2DYhtZYoLjaO9vGdqOeIqdCjOXz4AEVFBTQ1Q2cBweGwhKY4pJJ+1y0cDkfJ0n2gZFnzxo01GiY3GGqFiDQXkdkiclBEDojIByLS3JeyvghNrogk4w3yYuUxOFoLe/3O8ePH2XpsMwWufCsmVTl4lzabobPAIAJuJxSbOZoa0zauLa2jWpck1+jSpQsA69eHS7RSQx3jDaywNWlAM+Bjz7kq8UVo7vVU3k5EFgNvYaX0DBn27t/Lh3tmkFNcYXI4IzQBxuvRuELK961bDGg0gAENB5QITatWrYiNjWXDhqrz2RgMNtBIVd9Q1WLP402gkS8FfZmjOQQMADphrRzejJWlLWSw8vpYkQEqmqMxe2gCi9ejcZmhs5rjHQZ2Aw5rKK1Lly5GaAzBIktErgNmeI7HAD5t3vfFo/kAaKKqGzy5ZM4DXq+RmTah7l8iA1Q0R2P20AQWh8MzdGaEpsa8v/d9Xj/wumd21MIIjSGI3IgVRHM/sA8YhRXdv0p8EZpbgTki0lREfgO8hA/ZNQOJN6imSCUejdlDE1BEQB3Go6kN7eu3p3N051OEZv/+/Rw6dCh4hhlOVx4HxqpqI1VtjCU8k3wp6MuGzRUichfwBZAPDFHVzFoY63dKhs6oOE3AgQM/07ZN18AadhojAjihKJySnwWYHok9rEzvZYQGYMOGDfz6178OjmGG05VuqloyEa6qh0TEpwj9FXo0IvKxiHwkIh8BDwOxWLtBp3rOhQwlQ2cVeDSqSmbmbho1bhF4405THA7ACWbRWc0p1mIK3YUVCo3BEGAcIlKygUtEkvBtnr/Si56vrVWB4pe9BuV7NDk5h8nPz6NxIyM0gcI7dFZsPJoa89G+j9h9YDd3u+8uOdeiRQvq169vljgbgsELwBIRmYW1FnI08IQvBSsUGlX9xvtaRJoAvT2Hy1W10tzSgUbVM0dD+eNmBzN3A9CokU97iwx+oMSjMemca4xDHCh6kkcjIpx11lmsW7cueIYZTktU9S0RWYkVUFmAyz0ZmKvEl1hno4HlWGk+RwPLRGRULez1O96hMwflZ9jMzNwDQGMzdBZYnCEWQqKOURKCpoxYd+/enR9//LFkbtJgCBSq+pOq/lNVX/ZVZMC3VWePAL1Vdayq/g44F/hzTQ21g9aprbm06RiiI+PKfT/zoNejMUITKETAYYSmVjjEIzRlVu51796dY8eOkZ6eHhS7DIbq4ovQOMoMlWX7WC5gNIxvSLu4TkRVkCLgYOZunM4IkpKaBtiy0xuJMEJTG0SkQqEB+PHHHwNuk8FQE3wRjP+JyOciMk5ExgGfAJ/Za1b1OHLsCNuPb6aogpj0Bw/uJiU5Daezgk02BltwRJhVZ7XBIQ7cnCo0Z511Fg6HwwiNoc5QpdCo6v8BrwDdgLOBKar6gN2GVYftu7czJ2MGhe4T5b6fmbmbFLMQIPAYj6ZWVDR0FhsbS8eOHY3QGOoMVa6BFpFnVPVB4MNyzoUEZ7Q+gzHNUsmNqGCOJnMPHTv2DLBVBkekEZraULIYoJzoCt27d+f7778PvFEGQw3wZehsSDnnLvG3IbUhtl4sTaPScJazW9ParLnH7KEJAhIBbgE1YWhqREUeDVhC8/PPP3P4cMURyw2GUKGyyAC3icg6oJOIrC312AmsDZyJVXMw+yBrj63CpafO0Rw9mkVhYb6JChAEHA4ojgQ1EzU1omV8S/rE9inXLezRw4r88cMPPwTYKoOh+lTm0byLlRP6I37JDz0C6Kmq1wXANp/ZmbGTrzI/prgcoTnoWdpsPJrA43CAywkVrNEwVEGHhh24qOFF5QpNz57WUPCKFSsCbJXBUH0qFBpVPaqq6ao6RlV/LvXwKWysiLQQkQUislFENojI3VWXqhneyACOcsICeDdrmqgAgUfEeDS1waUuCtwFqOvUjZnJycm0a9fOCI2hSirqi0UkSUS+FJGtnufEquqqKXbuhykG7lPVM4A+wB9E5Ew7GvJGBlDHqUKTnZ0BQEpKMzuaNlSCCLgjjNDUlKVZS3nqwFMU55d/A3v37m2ExuALFfXFDwHzVbUDMN9zbAs+Rd6sCaq6Dys5DqqaIyIbsfJM+xy2oBptAeV7NFnZGTgcDhITG/u7WUMVOBxQ6IRv3OA4Hmxrak59N/SOp9zwRnbSun5rLm5wMQ4tv+HevXvz3nvvceDAAZo0aRJY4wx1hkr64kuBgZ7LpgELAVtWE9smNKURkdZAD2BZOe+NB8YDREWVv7O/KkonPitLdnYGiYlNcDoD8lENpYiPh4IkcO7FSjBRB8mLgOMFUFgI9VIC23az+GY0i212SqwzL717W3FuV6xYwfDhwwNomSHEiPAEu/QyRVWnlHdhmb64iUeEUNV9ImLbr3Hbe18RicdKB/1HVT1W9n3PDZkCEBcXV6MogaXz0ZStIDsrg+TktJpUa6glEREQMSDYVtSOosNQ/A24CwPfdr4rn+PFx0kqTMJRzij3Oeecg8PhYPny5UZoTm+KVbVXVReV7YvL+2FuF7YOBohIJNYHm66qH1Z1fU35JYpt+UNnKUZoDDVEBDRIe4HWH1nPPzP/Se7x3HLfj4uLo0uXLixfvjzAlhnqGhX0xQdEJNXzfipgW/oX24RGLLmcCmxU1b/Z1Q5gDS1o+XM02dkZJKcYoTHUDG8Ct2AIjcNh/fN0F1Xc+HnnncfSpUtxu82uWEP5VNIXfwSM9bweC8y1ywY7PZq+wPXAIBH50fP4jR0NuT0ZNqXMqrOiokKOHMk0Q2eGGuP1aMpZYWw7Ds/qA3dxxSLSr18/jh49alI7Gyqjor74aWCIiGzFigDztF0G2Lnq7DvKzXfpf7q360FUk/ZomeYOHdoPYIbODLVDIBgOg9ej0aKKVa5v374AfPfdd3Tt2jUgdhnqFlX0xYMDYUNI5ZWpKfHR9WkSmQbOk++ldw+N8WgMNSWoQ2dej6YSlWvTpg1NmzZl8eLFgTLLYKg2YSE0ezP3su74KigTUzMry7tZ0wiNoWaUCE0whs58mKMREfr27WuExhDShIXQbN61ma+PzDt1abPxaAx+IFhzNN7lp5UJDVjzNOnp6ezduzcQZhkM1SYshOa8zn25Me3eUz5NVnYGTmcEDRsGeKedIWwQARzgDlGPBiyhAVi0aJHtNhkMNSEshCYqoh5xzvqnTHdlZ2eQnJxa8g/WYKgu3lVnFe3OtxNfVp2BlTKgYcOGLFiwIBBmGQzVJix64O0Z21l+bNEpczQmKoChtniFJhgeTaPYRlxc/2IaRjes9Dqn08mAAQP4+uuvA2SZwVA9wkZoVuZ8W+7QWXJSanCMMoQNGqShs4ToBM6LPY/6kfWrvHbQoEFs376dXbt2BcAyg6F6hIXQWL2AUDbI7aFD+0lKNkJjqDklczRBWN5c5C4iy5VFYX7VgdYGDRoEYIbPDCFJWAiNWxVBTpqjKS4u4tixbJISTfh0Q80pGToLQtv7T+znn1n/ZLcnS2xldOnShUaNGpnhM0NIEhZCo25LaLTUHM2RI5kAJBqhMdQWAXfgAt2WkByTzBUJV9A4ruro7Q6Hg0GDBvHll1+WCjJrMIQGYSE0bu/QWanOwBt+JimpaXCMMoQFIlhCE4S2Y6Ni6RrTlfoRVc/RAAwdOpR9+/axdu1amy0zGKpHWAiNutXa3Fbq0xw+fAAwHo2hdgRTaArdhews3ElubvlpAsoydOhQAD777DM7zTIYqk34CE0Zj8YIjcFvOIIjNEcKjjDt0DTSD6T7dH3Tpk3p0aOHERpDyBEWQuN2K4igpWJRe4fOjNAYakMwFwOURAZw+d76JZdcwuLFizl69KhdZhkM1SYshEaVcj2amJh4YmLigmeYoc5Tsrw5CG37GoKmNJdccgkul4svvvjCLrMMhmoTFkIzqMsQRje9BUepVWeHDh8w3oyh1gRzjqZEaKoIQVOa8847j0aNGjF79my7zDIYqk1YCE29yGhiI+JP9mgO7TdCY/APwRQaAS32fbmy0+lk5MiRfPLJJxQWVr3R02AIBGEhNJv2bGTNsaUnxTo7dPiAWdpsqDUh4dFUY44G4Le//S3Hjh0zmzcNIUNYCM2WjE2syVlaZnmz8WgMfkKCEry5xkIzePBg4uPj+fDDD+0wy2CoNmEhNMN7/Jbrmt1d4tFY4WcOmfAzhlojAhLsxQDVmKMBiI6OZtiwYcyePZuioiI7TDMYqkVYCA2eVWfeWGeHDx8EINEMnRn8QTCFRqovNABjxowhKyuL+fPn22CZwVA9wkJoVu9cxbKjC0qE5tBhT/gZ49EY/IA4gjN0FuGI4IrEK+jYoGO1yw4dOpSEhATeffddGywzGKpHWAjNzoM72Ja3AfEMnR0+ZKICGPyHOMAVhHYdDgdd47qSElX9VOT16tVj1KhRzJ49m7y8PBusMxh8JyyExhvrzJuPxoSfMfgTCda/EoH0gnQO5x6uUfFrrrmG48ePM3fuXD8bZjBUj7ARGpCSxQBHjnpTBFQdXt1gqJIgzdEgMC1rGqsPrK5R8QEDBtCqVStef/11PxtmMFQP24RGRF4XkYMist6uNryoWrHOvJ/m6JFMoqKiiY424WcMfiBIczQAYxuP5ZzEc2pU1uFw8Pvf/56vvvqKnTt3+tkyQ12ivP5YRJJE5EsR2ep5TrSrfTs9mjeBoTbWX4I3enNpjyYhoZGVOsBgqCXi8GQLDwKtY1qTEJlQ4/Ljxo3D4XAwdepU/xllqIu8yan98UPAfFXtAMz3HNtCRNWX1AxVXSQire2qvzRuFLcIP6WCqyHsPp5JVFIj1jUMROuG8hCFtrkQG4xZdD8jTk4KbxRINpzYQGJOImmk1ah8ixYtGDp0KK+//jqPPvookZGRfrbQUBeooD++FBjoeT0NWAg8aEf7tgmNr4jIeGA8QFRUVI3qULdSWE9Y2ByyY2H3sUwiUxoxJ9aflhqqS/cCGBEGQhOsEDQA8w7Po1t2txoLDcAf/vAHhg0bxqxZsxgzZowfrTOECBEisrLU8RRVneJDuSaqug9AVfeJiG2T2kEXGs8NmQIQFxdXowEKVUUR8hTaRsOKo5mkdO7EGY38aqqhGix3QlZ2sK3wD+IM3tCZQxzVDkFTlqFDh9KxY0defPFFIzThSbGq9gq2EZURdKHxB+pWVAQB6jeE/OxMkpo3IiU52JadvkQXQGFYrGn0bNh0gLoDv9RZRGotNA6HgzvvvJM777yTpUuX0qdPHz9ZZ6jjHBCRVI83kwoctKuhsOgKrux5PUNb/x5RcBWeoCg3l9hGxp0JJhECxWHx7fJk2XSABmEY0B8eDViLAhISEnjmmWf8YJUhTPgIGOt5PRawbcOVncubZwDfA51EZI+I/N6utnCDOgURKDhs7aGJTan+bmqD/4gUKAojoXE5CcpEjcPhwO2ufcPx8fHcfffdzJkzh/Xrbd9xYAgxKuiPnwaGiMhWYIjn2BZs6wpUdYyqpqpqpKo2V1Xb1lcu37mE9YeXIAr5hyyhiTMeTVCJECgOk9XlItaqMw3CPI1D/CM0AHfddRfx8fE88cQTfqnPUHcorz9W1WxVHayqHTzPh+xqPyx+c2Yc2cPBE7tx8IvQmKGz4BLpsDyaYE2i+xt11u2hM4CkpCT+8Ic/MHPmTNatW+eXOg0GXwgLoRnZdTT9Wl0Fai0EAOPRBBunA9xOcIWB0IiAWwjO0JkfPRqABx54gAYNGjBhwgS/1WkwVEVYCA1uqyMQ4ES28WhCASfgioBqpLsPadyeVWeBxl9zNF6SkpJ46KGHmDdvHosWLfJbvQZDZYSF0CzY8gU/Zi7AIZCbmYkjIoLohIRgm3Va48SaQA8Xj0adwRGakU1GMjhxsF/rvOuuu2jevDl//OMfcbnCYUetIdQJC6HZe3gX2fl7EQfkZWYSm5Ji4pwFmRKPJlhb6v2ISPA8mrTYNBo7/bthOzY2lhdeeIHVq1czZYovG8gNhtoRFkKjbivWmUM8QmOGzYKOA0toisLEo3E7CEoI5+1529meu93v9V555ZUMGjSICRMmsH//fr/XbzCUJjyERhW3AxwOa+jMLAQIPk6sTY7hIDRgzQH6carEZxYdXsS3h7/1e70iwuTJk8nPz+e2226zUm0YDDYRFkLjdv+Sj8Z4NKGBV2jyg22IHxDB46IFvu3L0y7n8sTLbfGmOnXqxOOPP86cOXOYMWOG/xswGDyEhdC4PInPxAF5WVlGaEIAp+d/BcE2xA94N2wGw6NpGNWQBhENbFtafc8993D++edz2223sWPHDnsaMZz2hIXQuL0ZNikm/8gRYpNNNM1g4/VoCsNlTUaQNp9uzNnImtw1tgmN0+nk3XffxeFwcPXVV1NQEA4/DQyhRng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hgKry7aFvmbNhDm9tf4ucohwaxzRmbNexjOo8ihGdRtAuIXQH+rioOBo6G1KcWcy9997LnDlzmDlzJv/617/sNs1QD6no8YsIBQUF3HHHHaxbt4527doxY8aMU+4Bio+vdpYLsP6deTObUFn/r7/+Omlpaaxfv57IyEg6duxY1n90dHRZW6fTSX5+zUnDW7ZsyZEjR8qm9RITE2s8xltqM06r6jYR+R+wHSgB7gxUpB4E8D4nVb1eVZNUNVJV26rqXFU9S1XbqWpf9yOgwmQZYn1h6nvoclFpEbPXz6bPS30YOm8ob21/i2uTr+XjGz/m2PRjLLxmIZP7Tg5pYQI4t+W5/DHxj8SWxtKhQwduvvlmXnnlFQ4dCpNfD4agcuDAAb791goWW7RoERdccEGZEDRv3pycnBzeeuutKo9v2LAh2dmnR9L26NGDlJQU1q5dC0B2dnalt1S89957FBQUkJ6ezsqVKxk4cCCZmZkkJiYSGRnJihUr2L9/f42foyo7AK688koWLFgAwIIFCxg/fnyN5/OW2o7Tqvq4qnZR1e6q+pHfDKmEsE9flJ+fz7KflnFO8Tm0p73d5tSagpIC5m2cx8xVMzmYdZD+Sf2ZM24O1/W+jgZRDew2r/Y43c/uH7IPPvggr776Ko899hj//ve/bTPLUHfa498IO2/+tfbs2ZMFCxYwbdo0unbtyu23305cXBxTpkyhT58+dOzYsWxqrjKuu+46pkyZwqxZs04RsaioKN544w3uvvtu8vPziY2NZdmyZacdP2jQIMaOHcuBAwf4y1/+QuvWrbnxxhsZN24cAwYMoG/fvvTo0aPGz3HzzTfzm9/8ptKAiPvvv5+JEycyd+5c2rdvz5tvvunFlan/BDRaz1/UJVov82Amz179LFfGXUn/Ef39bFlg+XD3h9z90d38eOJHzm93Pg9f9DCju4yu13flHzlwhM+Xf87ov42mxaQWANx999289NJLbNmy5bRoI0PoUll0WDDZt28fV1xxBVu3bq25cQCYMWMGDRo0YPr06bb0XxFfo/VClbDPracuS3zr07TegcwDXP3G1Yz9z1iinFF8ctMnrLplFZeedWm9FiYAl7jIceVQkvvzFMnDDz9MfHw8990X8GQhBoOhnhD203oehPoxqL+z4x1uee8Wil3FzBw5k3uG3EOU0/ebkEONNgltmNZsGpT7SC1atODBBx/k/vvv56OPPmLMmDH2GWioN3Ts2NE2rwksz8kQOM4Mz0lDP0FlUWkRv//491zzv2vo2qwrW27fwn0X3BdWwgRYa04OoMLa7z333EOPHj246667vIpgMhgM4c2ZIU6EtueUkZ/B8AXDef675/ndeb9j1S2r6Nyks91mBYSc0hz+ffzfbP9p+yn7o6Ki+Ne//sWPP/7IY489ZpN1BoMhVDhzxClEPaeU7BQunn8x61LW8caEN3jusueIjoiu+cB6iiPCwZGSI2Rnnh42O2LECG655RaefPJJvvvuOxusMxgMoYIRJxvZk7GHC+ZdwL6T+/jwhg+ZmDzRbpMCTlRUFAgU5VaeVPbZZ5+lTZs2/OpXvyInp/pkuwaDIXwJ+4CIsjWnEJvW23dyHxfPv5jCkkI+/9XnDGxT9b0Y4YTT4UREKMqrXJwSEhJYsGABI0eO5I477mDBggUh+cPCcDorPofMTP+dLyEBho/w3/kqoz6UzHjzzTeZMWMGO3bsYM2aNQHJih6KnBniBISSNqXmpjLq/0aRV5zHlzd/SZ+WZ05WbnEIURFRFBdUXUBx+PDhPPLII8yYMYMLLriAqVOnBtFCg69kZkLjxv4738mT/jtXZdSXkhm9e/fm7bffZtq0aX7vN5QJ+2m9xOaJPNL/EXo17GW3KYCV8eHqN67mcNZhPrzhwzNKmDxEOaMoKqi+VtRDDz3EpZdeyp133snKlSuDY5ihXrFv3z569OjB5MmTOfvss5kwYQJ5eVae0kcffZSBAwfSu3dvpk6dWlasc9iwYTz44INcfPHFPPnkk7z//vv86U9/om/fvuzdu5ebb765LFPE2rVrOf/88znnnHMYNGgQ2dnZrFy5kiuuuAKwQsknTZrEiBEj6Nq1K3PmzAEgJyeHkSNH0r9/f/r06cN7771XZm/Pnj2ZMmUKycnJjB49mvz8fN566y3WrVvHjTfeSN++fU+LVu3Zsyfdu3cPyjUNJcJenDxTeqEwNaSq/GbJb/jm4De8dvVrDGk3xG6TbCEyIrJGcXI6nfz3v//lrLPO4he/+AXbt2+vtr3hzGTXrl1MnTqVzZs306hRI1588UUA7rrrLtauXcvWrVvJz89nyZIlZcd4Smb8+c9/5sorr+Tpp59m06ZNdOnSpayNp2TG888/z/fff8+yZcuqLJmxdOlSvv32Wx599FFSUlKIiYnhnXfeYcOGDaxYsYI//vGPZeK4e/du7rzzTrZt20bjxo1ZvHgxEyZMYMCAAbz++uts2rSp0n7ORMJenE6ePMkHBz7gaP5Ru01h7sa5LPh+AQ9f9DATegW8Qn3IEhURRXFR1dN6Hho3bsySJUuIjIxk9OjRIVlewGAvFUtmrFq1CoAVK1Zw3nnn0adPHz7//HO2bdtWdoyvJTMiIk5fBfGUzGjevHlZyQxV5cEHH+Tss8/mkksuqXclM0KFsBengoICdp3cRW6pj5V0/cTW1K3c/dHdXNL5Eh6++GFbbbGbqIgoigq9KwHfpUsXPv30U3Jzc7nooovYuXNngK0z1CeqK5nx1ltvsWXLFqZMmWJbyYxNmzbRsmXLKktmVJbp3GAR9uLUqkUrpveZTpcGXWpuHCCKSouY9M4kGkU3YuHVC3E6nDUfFMa0jGtJU2kKLu/an3322Xz++ecUFhZywQUXlJUxMBjOhJIZZyphL06o+2HjktPjXz7OpqOb+PcV/6Zlg5b2GRIijG0zlnFNxkHNM3tl9OvXj6+//ppGjRoxfPhwPvnkk8AZaPCJhAQrws5fj4SEmvv0lMw4++yzycjI4Pbbb6dx48ZlJTOuuuqqGktmPP300/Tr14+9e/eW7S9fMuOcc85h1KhRp3hfHjwlMwYPHnxKyYx169aVrSPVpmRGZQER77zzDm3btuXbb79l7NixXHrppTVfmDAg7EtmHP/+OJ/97jOGxQ0jaVCSny2rme1p2znn5XO4NvlaFl6zMOj9hyQ7sAr/LAMa1u7QI0eOcNlll7FlyxYeeughHn744UrXAgyBx5TMMCUzAknYe055eXnsOrmLvJK8oPetqtyx9A4aRjXk2UufDXr/ocqqjFXMS50H3i07nUJSUhLffPMNN998M4899hgjR440VXQNhjAk7MXJ4xnaUc/pv1v/yxf7v+CJkU/QIr5F0PsPVeIi42gsjWs1rVee+Ph45s2bx2uvvcb69etJTk7m+eefN4vLZxihUDIjVLymcCT8xcmTW0+DK04FJQU8sPwB+rXqx239bwtq36FO/8T+XJNwTVmpdl+ZNGkSmzZtYsiQIfz+97+nf//+5oZdgyFMCHtx8hDsm3D/teZf7M/cz9Ojnj7jo/NOw4kVoOKH6P6zzjqLjz76iMWLF3Py5EmGDx/OxRdfzLJly6gP66kGg6Fywl6c7Cg2mFmQyeNfPc5lZ13GyM4jg9ZvfeH7E9/z5NEnyTnun6zjIsI111zDzp07ef7559m7dy+jRo1i0KBBvPLKKya7ucFQDzkzxIngitMLa17gRMEJHh/xeND6rFc4Id+VT1G2DxER1RAXF8dvf/tb9u7dy8svv0x+fj5TpkwhKSmJW2+9lQ8//JDCwkK/9mkwGAJD2MfglnlOQQqIyC7M5p+r/8kV3a6gf1L/oPRZ34iKsErPF2X6V5w8REdHM23aNKZOncrq1auZM2cOb775JvPmzaNhw4ZcfvnlXHLJJYwYMYJOnTqFRN7FsOBh4IAfz9ceqD5JeJ2pDyUz/vSnP/HBBx8QFRVFly5dePXVV2nsz/TvIUr4i5MGt0z7y+teJiM/g79c9Jeg9FcfiYqyxKk418dwPS8REYYMGcKQIUN46aWXWL58OW+//TZLly7ljTfeAKzcbAMHDuTcc88tezRv3jygdoUtB4COfjzfPj+eqxLqS8mMUaNG8cQTTxAREcF9993HE088wZNPPul3G0KNgE3ricg8EUkVka3l9jUVkc9EZLf7uUmg+vfgwEGDiAZBCUooLi3m+e+eZ0SnEQxqMyjg/dVXIiMiAfw+rVcd0dHRXH755bzyyiukpKSwfft2XnjhBc4//3w2b97Mn//8Zy677DJatGhBq1atuPDCC7n11luZOXMmb731FqtXr+bAgQMUFQXPZkP1nCklM0aPHl12o/ngwYP9el9fbcdpEXlARPaIyC4RCWiqikB6TvOBF4DXyu27H1iuqjNF5H739n0BtIHO7Tozvcd0r/O41YU3t7/J4ezD/PuKfwe+s3qMx3MqyrJnoBcRevbsSc+ePbnzzjsBK3v9xo0bWb9+PTt27GD37t18+OGHHD16ejb7Fi1a0Lp1a5KSkmjRogWjR4/mpptuCvbHMGBlD587dy5Dhw7l17/+NS+++CLTp0/nrrvu4uGHrQTLkyZNYsmSJYwbNw74uWQGWCUsrrjiCiZMOLVKgKdkxhtvvMHAgQPJysqqsmTG6tWryc3NpV+/fowdO5bExETeeecdGjVqxPHjxxk8eDBXXnllWX+LFi1izpw5TJw4kcWLF3PTTTfxwgsv8Mwzz9Tolc2bN8+rrOq1YD5ejtMi0gu4DkgGWgPLRKSbqpb60yAPARMnVf1SRDpW2D0eGOZ+vQBYSYDFCU80cYBn9VSVZ1c/S/dm3RnTdUxgO6vnREVGgcD3a78n5ekULuxzIVGRUexN2cv+Y/sZ0c+qzb1j/w5S0lOqPZeInNI+IzuDob2tEgqb9mwiPSu92uNjomIY2nsojWlMkz1NuDj2YqbfYN1Y+d2O70g9kUpKRgrpmemkZ6WTkZ3B8azjpGel89O2n1iTs4Z3332X66+/HqfT3DIQbCqWzJg1axbTp09nxYoVPPXUU+Tl5ZGRkUFycnKZOPlaMqMyPCUzYmNjy0pmjB07lgcffJAvv/wSh8Pht5IZjz/+OBEREdx4441eH1MTtRynxwP/VdVC4CcR2QMMAr71m0HlCPaaU0tVPQKgqkdEJLGqhiIyFZgKP//S9oVDRw7x5b4vGZM0hiYEbhZxbcpa1qWs41+X/wuHhH0QZJ1o0KABCdEJ/LDlB37Y+QODOwwmyhnFgYwDfJ35NSM6WWKzJ20PG7M3VnsuETml/d78vQxtbw1W249uZ0/enmqPbxTR6JT2eaV5DGxjDUjfH/6eo4U/e04J7v860QkAl9NF9KXRPPjfB9mxYwe9e/f24WoY6kJ1JTPWrVtHu3btmDFjhm0lMyIjI+nYsWOVJTMqTuFVxYIFC1iyZAnLly+vbQBPhIisK7c9W1Vn13BMVeN0G2B1uXaH3PsCQsgGRLgv4GywEr/6ep7i4mKyi7NxSWDn9Wavn01cZBw3nW2md2oiKiqKe351D1SoEDDc/Z+Hce7/vKVi2xv63FAruyq2n9pnapVt83Py2bxiMzSztlevXm3EyQY8JTOGDBlSbcmMitN2HrwpmTFw4ECys7MrndZ77733eOCBB8jNzWXlypXMnDmTN998068lMz7++GOefPJJvvjiC+Li4mo8VwVKVNVfERyVqWLA7nQPtjgdE5EktxonAamB7rBTm05M6zLNykoQILIKs1i0dRHX976eRtGVu/+GCjgAL0oihCqx0bGc1/g8tKXStGlTVq9ezW23neFpqtrj3wi79jU38ZTMmDZtGl27duX2228nLi6urGRGx44dayyZMWXKFGbNmnVK3afyJTPy8/OJjY1l2bJlpx3vKZlx4MCBU0pmjBs3jgEDBtC3b99alcyIjY3l22+/PUUI77rrLgoLCxk1ahRgBUW8/PLLNV8c36lqnD4EtCvXri1Q/bx7HQhoyQz3XOYSVe3t3n4aSC+30NZUVe+t6Tx1KZnBNqx7JSKBs3w7RU28vO5lbl96O9/d9p2J0jtDcBW6OP7hcRqMbcCETRM4ePAgW7ZssdusoGJKZoRHyQxvx2kRSQb+g7XO1BpYDnQNVEBEIEPJF2EtlHUXkUMiciswExglIruBUe7tgLL3wF5m753NicITAetjwfcL6JPYh4Gtq/6FZggvCkoLeDHtRbYc3sLgwYPZtm0bWVlZdptlMNSK2ozTqroN+B+wHfgYuDNQwgSBjda7voq3gppsLi8vj5S8FEolMNdwT8YeVh9azVOXPGUyDZxBREdE88tmv6RVg1ZkDs5EVVm7di0jR5pcisEiFEpm1HdqO06r6uNAUPKyhX1YWVmGiAAJx+ubX0cQru9T1d/YEI44I5wkxybTLLIZ5513HiLCqlWr7DYr6JjM76FBOP4dwl+cApj4VVVZuGUhwzoOo22jtn4/vyGEEfix8EfSs9NJSEjgnHPO4auvvrLbqqASExNDenp6WA6M9QlVJT09nZiYGLtN8SshG0ruL1QDVzJjw5EN7MnYw31DA3sfsSEEEViYsZALjl7ACEZw0UUXMWfOHIqKiup0X159om3bthw6dIi0tDS7TTnjiYmJoW3b8PqBfGaIE4ERp8U7FuMUJ1f3uNrv5zaEPg5xUFpirWVedNFFzJo1iw0bNjB48GCbLQsOkZGRdOrUyW4zDGFK2E/roQTEc1JVFu9YzLCOw2gW18yv5zbUD5wOJ6XFljhdeOGFAHz55Zd2mmQwhA1hL06BWnPanradH9J/4Bc9f+HX8xrqD05xUlpqiVNiYiI9evQw4mQw+InwFyfPtJ6fiw2+veNtBOGqHlf59byG+oPT+bPnBNbU3ldffUVJSYmNVhkM4UHYi1NsVCxJ0Ul+r+f0/g/vM7jtYJIaJvn1vIb6g9PhLFtzAhg5ciRZWVmsXbvWRqsMhvAg7MWpV6deTOswjbjIWidMrJJjOcdYl7KOsV3H+u2chvpH+Wk9sMRJRPjss89stMpgCA/CXpw8ARH+5OM9HwNwedfL/XtiQ73C6XDiKv05232zZs3o37+/ESeDwQ+EvTht2b2F2ftnU+AqqLmxlyzdvZSkBkn0bdXXb+c01D+cjlM9J4BRo0axevXqKssfGAwG7wh7cYqKiKKBs4HfCgAWlxbz6d5Pubzr5SaX3hnOqMRRXNDwglP3jRpFSUkJK1assMkqgyE8CHtx6t6+Oze0vsEqDe4Hvjv8HZmFmYw5y5RiP9Pp3LAz7SLanbJv6NChxMfH8/HHH9tklcEQHoS9OPl7vWn5j8txiKOsNLjhzOVI0REO5R065TsWHR3NqFGjWLJkick5ZzDUgbAXp7Xb1/KPH/9BsavYL+db/tNy+if1p0lsE7+cz1B/WX58OR+f+Bhcp+4fN24cBw8e5Pvvv7fHMIMhDAh7cSosKiS72D+L07lFuaw+tJqRnUzNHgOMbjmacY3HQYVSYZdfbkVxLlmyxAarDIbwIOzFqSx9kbPuwQtfHfiKYlexEScDAImxibSManmaOLVq1YpBgwbxwQcf2GOYwRAGhL84edIXUXdxWv7jcqKcUQxtP7TO5zLUf/bn72d77vbTxAmsqb01a9Zw6NCh4BtmMIQB4S9OLnc9Jz94Tiv3r2Rw28F+zTZhqL9sOLmBTzM/rVScJkyYAMDixYuDbJXBEB6Evzj5yXPKKcph45GNXNT+In+YZQgDnE4nLnWdFhAB0KNHD/r06cObb74ZfMMMhjAg/MXJT2tO3x36jlIt5YL2F9Tc2HBG4BQnpVpaqecE8Mtf/pKvv/6aw4cPB9cwgyEMCHtxAv+sN3114Csc4mBIuyF+sMgQDjidNYsTwFtvvRVEqwyG8CDsxUlV/SJOqw6s4uyWZ9MoupEfrDKEA06Hk1JX1eLUo0cP+vXrx8KFC4NrmMEQBoS9ODVr2IyucV2piz4Vlxaz+tBqLmhnpvQMP+MQB6VULU4Av/rVr1i3bh3bt28PnmEGQxgQ9uJ0TudzuL7V9XU6x/fHvie3ONesNxlOwRMQocVVpym64YYbcDqdLFiwIIiWGQz1n7AXp7J6TnXwnL479B2AWW8ynIKnunJpQdWuU2JiImPGjGHhwoWmfLvBUAuqFCcRuaa6R106FZF7RGSbiGwVkUUiElOX81XHyk0rmXVwVp3OsSZlDS3jW9KuUbuaGxvOGJwOJyiUFlYzrwf8+te/JiUlhQ8//DBIlhkM3lHZWCwiTUXkMxHZ7X62JZFodZ7TOPfjVmAucKP78Qpwk68dikgb4LfAAFXtDTiB63w9X020aNSCs2LPqpPntObwGga1GWTqNxlOoXfT3tzW7DYiNbLaduPGjaN169a89NJLQbLMYKiZasbi+4HlqtoVWO7eDjpVipOq3qKqt2BNivVS1V+o6i+AZD/0GwHEikgEEAek+OGclZLcIZnLm/teTj2zIJOdx3dyXpvz/GiVIRxoFN2ItlFtcZRWPzseERHBlClT+OSTT/jxxx+DZJ3B4BWVjcXjAc8i6QLgKjsM82bNqaOqHim3fQzo5muHqnoYeAY4ABwBMlX104rtRGSqiKwTkXV1mqv3rFX76PSsS1kHwKA2g3y3wRCWZBRlsDFvI4U5hTW2nTJlCg6Hw3hPhmAT4RlH3Y+pnjeqGYtbesZ893OiHYZ7I04rReQTEblZRCYDSwGfa1C75y/HA52A1kC8iJw2Taiqs1V1gKoOiIiI8LU7PlzzIU/ue9Ln4787bAVDDGg9wOdzGMKTg3kHeS/zPXKzc2ts26ZNGyZMmMDs2bPJysoKgnUGAwAlnnHU/ZjtecPbsdguahQnVb0LeBk4B+gLzFbVu+vQ5yXAT6qapqrFwNvA+XU4X7WoqrVW5KPntObwGro162aKCxpOo2fTntyTeA8J0Qletf/Tn/5EVlYWc+bMCbBlBoNXVDUWHxORJAD3c6odxnkbSr4BWKqq9wCfiEjDOvR5ABgsInFiRRiMBHbU4XzVoi5F1PdAhg1HNhivyVApURFRJDgScLqcXrU/99xzGT58OM899xxFRUUBts5gqJGqxuL3gcnuNpOB9+wwrkZxEpEpwFvAv9272gDv+tqhqn7nPt8GYIvbhtnVHlQH6uI5peelczDrIP1a9fO/YYZ6T0ZRBl/mfElWpvfTdPfddx+HDh1i/vz5gTPMYPCCasbimcAoEdkNjHJvBx1vPKc7gaFAFoCq7qaOC2Sq+oiq9lDV3qo6SVVrXlH2ta86eE4bj24EMOJkqJQTRSf4POdzMjMzvT5m9OjRDBkyhL/97W8UFgbsa28weEVlY7GqpqvqSFXt6n7OsMM2b8SpUFXL5iDcIYdV52sJMcoSv/qgTxuPWOLUt1Vf/xplCAscYv3zKS2q/ibc8ogIf/3rXzl48CCvvPJKoEwzGOo93ojTFyLyIFYs/CjgTeCDwJrlP8qm9Xxg07FNtGvUjmZxzfxslSEccDrd6YtqyBBRkUsuuYSLLrqIv/71ryZyzxDWiMj5InKDiPzK8/D2WG/E6X4gDWtOchrwoar+2Udbg4666uY59UsyU3qGyvFVnESEf/zjH6SlpfHEE08EwjSDwXZE5P+w7qO6ABjofngdXebNDUQzVPVhYI67Q6eIvK6qN/pgb9DxtZ5TXnEeu9J3MTF5YgCsMoQDvooTwIABA5g0aRLPPvsst912G126dPG3eQaD3QzAyi7k0zKQN55TexF5AEBEorBi4Xf70pkddEzsSO/43rX2nDYf24xLXSYYwlAlTocTBFyFLp+Of+KJJ4iKiuKOO+7Ax3+/BkMosxVo5evB3ojTLUAft0AtAVaq6gxfOww2/Tv1Z2STkbU+bsuxLQCc3fJsf5tkCBMcDndARHHtPSewskY8/vjjfPrppyxatMifphkMoUBzYLs7w9D7noe3B1c5rSci/cttPo91n9PXWAES/VV1g88mBxFfQ8m3pm6lQVQDOjTuEACrDOFAXab1PNxxxx0sXLiQu+++m+HDh5OUlOQv8wwGu5lRl4OrW3P6R4XtE0Av934FRtSl42Dx5jdvknY4jTvlzlodtzVtK8ktksvChQ2Ginim9WoTSn7aOdxVcvv168ett97K0qVLTWkWQ1igql+ISEusQAiANarqdSqk6kpmDK/mUS+ECSC5bTIDGw6suWEFtqZupXdi7wBYZAgX4mPi+X3L33N207pN/fbo0YOnn36ajz76iGeffdZP1hkM9iIiE4E1wC+BicB3IjLB2+O9SvctImOx6jiVVaxV1UdrZ6o9JLdNhobUKiAiNTeV1NxUI06GanE4HDSOaAy+xUOcwp133smKFSu49957GThwIBdeeGHdT2ow2MufgYEeb0lEWgDLsFIm1Yg3ufVeBq4F7sYa4n8J1JuFmPzCfPJK82p1zLbUbQBGnAzV4hIXX+Z8yf70/XU+l4gwb948OnfuzIQJE/jpp5/8YKHBYCuOCtN46XifbNyrhuer6q+AE6r6V2AI0K52NtrHu2vf5f+O/V+tPKetqVsBI06GGhD4POtz9mXs88vpEhIS+OCDDyguLmbs2LFkZNiS0sxg8Bcfl6sFeDNWLcAPvT3YG3HKdz/niUhroBirOFW9oCxDRC3YmrqVprFNaRnfMkBWGcIBh8PBX9r+hYsSL/LbObt3787bb7/N3r17GTVqlBEoQ71FVf+EleX8bKx6gLNV9T5vj/dGnJaISGPgaazU6vuA/9baUpvwJfGrJ1LPRE0ZasLpdCIl/v2eDBs2jHfeeYetW7dyySWXGIEy1FtUdbGq/kFV71HVd2pzrDfi9JSqnlTVxVhrTT2Av/liqB3UNn2RqrIjbQfJLZIDaJUhXPg061O2pW3z+3kvv/xy3n33XbZv384ll1xCWlqa3/swGAKBiKxyP2eLSFa5R7aIeJ3p2Btx+tbzwl3rI7P8vlCntp7T8bzjnCg4Qffm3QNrmCEs2JS7iX1Z+wJy7jFjxvDuu++yY8cOBg4cyMaNGwPSj8HgT1T1AvdzQ1VtVO7RUFUbeXueKsVJRFqJyLlYpTL6iUh/92MYEFfXDxAsarvmtPP4TgB6NO8RKJMMYYTT4cRV4odY8iq47LLLWLVqFS6Xi6FDh5o0R4Z6gzsreY37qqK6+5wuBW4G2mJlhfCM8NnAg96baC+19Zx2pe8CoHsz4zkZasbpcFJa4nuGCG8499xzWbduHRMmTOCGG25gxYoVPP300yQkJAS0X4OhjpyyNuIuVHuutwdXlyFigaoOB25W1RHlskNcqapv+25vcKntmtPO4zuJiYihfUL7AFplCBccDgelpYEVJ4DExESWLVvGvffey9y5c0lOTmbJkiUB79dgqC0i8oCIZANnl19vAo4B73l7Hm/WnNqKSCOxeEVENojIaF8NDzbqql0pgp3Hd9K1aVcrb5rBUAPB8Jw8REVF8eSTT7J69WqaNGnCuHHjWLx4cVD6Nhi8RVWfUNWGwNMV1puaqeoD3p7HG3H6tapmAaOBRKwSGjN9Mzv49G3Xl77xfWs1rWfWmwze4nQ4g+I5lWfgwIGsX7+eBg0a8NVXXwW1b4OhFqwRkbK5ZxFpLCJXeXuwN+LkGdYvB15V1e+pdek+++jXth99G/b1qm1hSSE/nvjRiJPBa+wQJ7C8qM6dO7N3796g920weMkj7uhuAFT1JPCItwd7I07rReRTLHH6REQa4pdUl8EhrzCPfFd+zQ2BvSf24lKXCYYweI3T6cTlsuefQ5cuXYw4GUKZyvTFq2TjVR1ckVuB+7Gyy+YBUVhTe/WC11e/zuJ07+blPWHk5h4ng7c4xGGtOdlQZb1Lly78+OOPtomjwVAD60TknyLSRUQ6i8izwHpvD65RxVTVhZW2yLOdjpVdtl5wQZcLiNjlnVjvydgDQNemXQNpkiGMmNRhEo5jDmsuIcgxNF26dKGwsJCUlBTatm0b3M4Nhpq5G/gL8AbWUtCngNdVX712sfyJO1ffK0BvrN+cv1bVgGSd6NmyJ8R613Zvxl6axzUnIcbcP2LwDqfTqoZLKbaIE8DevXuNOBl8prLxGNiFJSodsfKpTlTVE7U5r6rmYs26+YRdNcifBz5W1R5Y2Wp3BKqjtMw0Mkq8S5y558Qezmp6VqBMMYQhG05uYOXJlZY4BZny4mQw1IHKxuP7geWq2hVYTi1ERkSecz9/ICLvV3x4e54aPScR6QIcUtVCd+qis4HX3JEXtUZEGgEXYWWfQFWLgCJfzuUNizctJjKrMSO5rsa2uzL2MqD9BewLlDEGABoBTe02wk8cKjxEWl4aw74Yxtr9a8krqL6wZaP4RvTr2g+AtTvXEhcdR3In60b6r7d8TUlpSbXHN09obrVvBe27tCciIsKIk8FnqhqPRWQ8MMzdbAGwEvC23IUnRdEzdbHNm2m9xcAAETkLmAu8D/wHK3rPFzoDacCrInIO1gLZ79wuYBkiMhWYClbYrK+UupQch7DtMGg1AfDFpYWkZB4gLvIstqb43J3BC2JLYHgSOCLttqTuXNn1SsgC/gFrD60ltSi12vbtYtrRr41bnA6upXlkc5JbWeK06qdVNUaW9orvZbWPg4jXI+jQoYMRJ0N1RIjIunLbs1V1drntSsdjoKWqHgFQ1SMikuhth6rqCXpoCnyoqoU+Ge5FG5eqlojI1cBzqvr/RKQu6ZEjgP7A3ar6nYg8j+Uy/qV8I/cFnA0QHx/vcyyUliqKEC+g51Xd7sDRfShKh35diK+mnaFuZBRA6SYozQNHOCztdQCaAUVwe4/bvTvG/SPp9u63n7J9b/d7vTp81cZVbNu5jWnZ00w4uaEmSlR1QDXvVzUe+4MrgedE5EusGoCfqGr1UwMVDKuJYhG5HpgMjHPvq8tv3kNY04Tfubffwn8X4zRcqogIGgvSuep2KalWpF7bvmdV285QNyQDSiLB5fVXtB7QwHqqbcXliu29Pb5h44a0PNISXNa609q1a2vVr8FQjqrG42MikuT2mpKA6qcEKkFVbxGRSGAMcAPwooh8pqq3eXO8NwERtwBDgMdV9ScR6QQsrK2h5Qw+ChwUEc/NRCOB7b6er8b+XN5lJU9JsX59tmljAiICicMBpRHgsiGAIFw4p+k5XNX4KnBB165dOXHiBMePH7fbLEM9pJrx+H0shwT3s9cJWyucvxj4CMtzWg+M9/ZYb+5z2g78ttz2T9Q9t97dwOsiEgX8SABv6rUSvwpagz4dPryHuLiGJCQ0D5QpBkAE1Aml3iXtMFSGYAX8uqBbt24A/PDDDzRvbr67Bp+obDx2AP8TkVuBA8Ava3tSEbkMuA4YjhVQ8Qow0dvjvYnWGwrMwJpdj8D9T0NVfZ78UtVNQHXzoH7D5S6ZoTX4iCkpe2nT+ixE6k3awHqJR5yClMg7LFmVuoovj37JAyUP0L279YN3165dnH/++TZbZqiPVDMej6zjqW/G8pim+RIU4c2a01zgHiyXrN4NKaqKQ4SaNCfl8B46dz47OEadwTgc4HJCqcm44zMuXBRpEVqqdOzUkcjISHbt2mW3WQbDKahqzffvVIM3a06ZqvqRqqaqarrnUZdOg4lnWq+6T+pyuTh6bD9JrU0kRKARscTJeE6+43BYX2ZXkYuIiAjOOussI06GkENErhGR3SKS6Sk4KCJZ3h7vjee0QkSeBt4GylwzVd1Q9SGhw7COIziW07Dae5xOnDhGcXEhrVp2DJpdZyoOh3vNyXhOPuOZenYVWxexe/fuRpwMochTwDhV9SkDkDfi5Lnrp/ycpAIjfOkw2PRucTYRsXC8Gs/p6NF9ALRq1TEoNp3JeDynUhuyeIcLDnF7Tm5x6tatG0uXLqWkpISICFvSZRoMlXHMV2EC76L1hvt68lDgaNZRsktiwNG46jZGnIKGwwE4ocSIk884xAFqTeuB5TkVFxezf//+snx7BkMIsE5E3gDe5dRZt7e9ObjGNScRaSkic0XkI/d2L3d4Yb1g0ZaFrD/xVbWf9OixfQC0bNkhOEadwYgADii225B6TNmaU8nP4gSYqT1DqNEIyANGYyVwGAdc4e3B3swBzAdeBf7s3v4BK5X63NpYaRdXdr2awzvjqw0lP3p0H02aJBITExc8w85QRLA8J7sNqcdUnNYrL06XX+5rykuDwb+oap3uX/UmWq+5qv4Pd2l2d26kehNr1blxF5pHt6o2IOLo0X20NMEQQcHhAHUYcaoLHs9Ji6250ebNm9OsWTN27AhY5RmDodaISFsReUdEUkXkmIgsFhGvC495I065ItIMdyFqERkMZPpob9DZk76HjKLUagvBHTu6z6w3BQnjOdWdJjFN6BPbhwj5eeIjOTmZrVu32miVwXAar2KlQWoNtAE+cO/zCm/E6Q/uDrqIyNfAa1jpLuoF7+5azI7M9VWmLvLc42TEKTiIgDjBZRJx+EzHRh35ReNfEB8VX7YvOTmZbdu2oWoiTQwhQwtVfVVVS9yP+UALbw/2RpwygIuB84FpQDIQ7YuldqCqIIJU8UnNPU7BRyJMKHmd8Ah7ucn13r17k5WVxeHDh20xyWCohOMicpOION2PmwCvEzh4I06LsQpPbVPVrVgZyuf5aGzQUZclTlUFRJgw8uDjiDDTenVh18ld/P3Y30k9/nMVg+Rkq2Dhtm3b7DLLYKjIr7ESvR4FjgATqEWSb2/E6TfAuyLSSkQuB2bhexXcoKPuxK8OI04hg5g1pzrROKYx58acS4wzpmyfESdDCPIYMFlVW6hqIpZYzfD2YG9uwl0rIr8FPgUKgFGqmuajsUHHM61XVbTesWP7AUhMbBdEq85sHFHu0E+DT7SMb8mljS49ZXK9efPmJCYmGnEyhBJnq+oJz4aqZohIP28PrlKcROQD3BF6buKwovTmigiqeqUv1gYbj+dU1ZpTatpBGjZsQmxsg+AadiYTYS2XqIsq/y6GqnHhothVTGRRJI5ykx+eoAiDIURwiEgTj0CJSFO8u7cWamj4TF0tCwVc7jWnqiYw01IP0qKF8ZqCicMJpU4s98mIU63Zl72P11Jf45bUW+jAz1lNkpOTmT9/vvWDzNQlM9jPP4BvROQtLEdnIvC4twdXKU6q+oXntYi0BAa6N9eoaq3ryduFqiKO6j2nFi28vi/M4AccDiiNBFcJOE2e0lpTdhNuhZDHPn36kJOTw759++jUqZMdphkMZajqayKyDitJuADXuCure4U3ufUmAmuwyvROBL4TkQk+2ht0rPs+ql5zSks7ZNabgowIlEaAmgR7PlGWvqjk1JW7vn37ArBp06YgW2QwVI6qblfVF1T1/9VGmMC7SZU/AwNVdbKq/goYBPzFF0Pt4Bedr6NLwz5UdhduYWE+mZnHSTTTekFFBEoiwFVvkmCFFuWLDZand+/eOBwOI06GsMCbSRVHhWm8dOrLSoFC14TuFOdCXiUWp6UdAqCF8ZyCisNhrTm5TDy5T5QVG6zgOcXFxdG9e3cjToawwBtx+lhEPgEWubevBT4KnEn+Q13KDyd+ILOoOZGOZqe9n5p6EMB4TkFGBFwR4Mq325L6SZnnVHx6QH7fvn35+uuvg22SweB3avSAVPVPwL+Bs4FzgNmqem+gDfMHrlIXb/24iL052yoNiEhNs8TJBEQEF0+p9hIzrecTDnGAVC5O55xzDgcOHCAjI8MGywwG/+FNQMSTqvq2qv5BVe9R1XdE5MlgGFdXHOJgcvepdGvUr9I1p+OeaT0jTkGlrFS7ESefqFhssDyeoIjNmzcH0ySDwe94s3Y0qpJ9Y/xtSCAQhKTY1sRFNEQqKZmRmnaQhITmREfHBt+4MxjjOdUNb8TJrDsZ6jvVZYi4HbgD6Cwi5X+GNQTqxaR2aUkpm45vIqeoLfHS8jTnKTX1oFlvsgGP5+QyOYx8IjYyliENhtA8qvlp77Vs2ZKkpCTWr19vg2UGg/+oLiDiP1iBD08A95fbn62q9WJCu6SkhI8OfEDnuNF0d7Y87f20tIO0amVuVgw2IpbnVMmSicEL4qLiuDThUqgi49aAAQNYu3ZtcI0yGPxMldN6qpqpqvtU9XpV3V/u4Rdhctf32CgiS/xxvspQl3r6qvSTpqUdMutNNuBwgMsBpUacfEJRCl2FlBZXPi86aNAgdu3aRWZmvSlYbbCRimOxiDQVkc9EZLf7uYkddtl5v9LvgB2B7EBd6ikuf1pARGFhPtnZJ2jevE0gTTBUQlmpdpP+zSfySvJ44ugTbDi0odL3Bw60Mo2ZqT2Dl1Qci+8HlqtqV2A5p86cBQ1bMpuJSFtgLFYSwD8Eqp8yz4nTPaf09CMANG/WOlDdG6rA4QAc8EM87Mux2xrfcQD9IqBxTI1N/UpURBSjE0bTLq7y9dIBAwYAsHbtWkaMGBFM0wz1jCrG4vHAMPfrBcBK4L5g22ZX2s3ngHuxgisqRUSmAlMBoqKifOpEXYpS+bReenoKAM2MOAUdpxOaJEL0fqwiLPWQUoGMCDh+Ahp3D27fkRGRnN/wfKgiyLRZs2Z07tzZrDsZACLcyVc9zFbV2eW2n+P0sbilqh4BUNUjIpIYeDNPJ+jiJCJXAKmqul5EhlXVzn0BZwPEx8drVe2qwzOtV5nndNwtTs2bG3EKNiLQqAvQxW5LfKe0GPLWQ+mJmtv6G0VJL04nLj+OOOIqbTNo0CCTKcIAUKKqAyp7w9ux2C7sWHMaClwpIvuA/wIjRGRhIDryTOtR2bTeceM5GXxHBFTsqehbSikvpL7A+iNVrykNHDiQgwcPcvTo0SBaZqhnVDUWHxORJAD3sy0lkoIuTqr6gKq2VdWOwHXA56p6U2A6s54clZRpP56eQmRkNA0b2hKIYqjniAAOcNkQ1FHdTbgehgwZAsA333wTFJsM9Y9qxuL3gcnuZpOB9+ywr35kF/cRdSnqjtarmCEiPT2F5s1bm4qhBp/wfG1cPk0417Fvd+ipq5pY/P79+xMTE2Om9gy+MBMYJSK7sTIEzbTDCFvrkKrqSqxIkIAQHxfPr86aSmp+Alohmjz9eIqZ0jPUDYc903riEBwOR7lp69OJjo5m4MCBrFq1KoiWGeor5cdiVU0HRtppD4S55+R0OGkZ25q4iPjTPKfj6UacDL4jgpUZ3Kb+HeKo1nMCGDp0KBs2bCAvLy9IVhkM/iOsxamwoJBN6evILEyn4m/M9PQUc4+ToW4Ip32vgoW34lRSUmJCyg31krAWp9zcXD49vITUwkOnfNK8vGzy8rJpZsLIDT4iAmLTtJ7Vv9QoTueffz6AWXcy1EvCWpwaN2rM7T3+SKf4Xqd8UpMdwuAXbBQnhzhw1ZDWvWnTpiQnJ/PFF18EySqDwX+EtTg5xEF8REMiHJEVxMnc42SoO+II7Wk9gOHDh7Nq1SqKioqCYJXB4D/CWpxyc3L55thKMgpTT/mkJjuEwR/YOa03rMkwesX3qrHdiBEjyMvLY82aNYE3ymDwI+EtTrm5fJ26kpNFaad6Tu7sEE2bJtlkmSEssNFzGpgwkM6xnWtsd/HFFyMirFixIghWGQz+I6zFSa07cHEgSLlPmpFxlOjoWOLjG9lkmSEcsNNzOlF6gqyCrBrbNW3alH79+vH5558HwSqDwX+EvzhZaclP2X/ixDGaNGlpskMY6oaN4rTw6EI+S/3Mq7YjRozgm2++IT8/P8BWGQz+I7zFyZO+qApxMhjqgp0BEZe2uJRBjQZ51XbkyJEUFRXx1VdfBdgqg8F/hL04ATgqZH3NOHGUpk1b2WGSIYwQp33i1K1BN9pFV15ssCIXX3wxMTExfPTRRwG2ymDwH+EvTsZzMgQKsSfxK0BKUQpH87wrhxEbG8uwYcOMOBnqFWEvTqpWyQwPpaWlZGYeN+JkqDPitG/NaUnaEpYfX+51+zFjxrBr1y5++umnAFplMPiP8BYnd7SelMtHnpmZhsvlMtN6hjojDlAHqA0K5RAHrlp0PGbMGADjPRnqDWEtTig/l2l3k3HiGIDxnAx1RsQtTqXB79vh8C5DhIeuXbvSpUsXli5dGkCrDAb/Edbi1DqxNbd1+iOt4jqU7TuRYYlTUyNOhjoiAqVObImKKMutV4u+x48fz7Jly8jKqvn+KIPBbsJanJwOJw2cDYmUn2sqZpywFpGN52SoKyKgYtO0nsOBorUSp6uvvpqioiIztWeoF4S1OJ04eYJvj68ku+Tkz/s8npNZczL4Adum9cSBC1etIjKGDBlCYmIi77zzTuAMMxj8RFiL08nMk6zOWElO8cmyfRknrNRFsbEN7DPMEBaIgMuBLSF7Doc7IKIWnpPT6WT8+PEsXbqUgoKCwBlnMPiBsBanTm078dvOj5BUfs3JpC4y+BGX3dF6tez7mmuuIScnh08++SQwhhkMfiKsxckTqVdeiE6cOGam9Ax+QQTUWb/EaeTIkTRv3pxFixYFxjCDwU+EtTilHk9lWeoHZBWdKNuXkXHUBEMY/IKd03qDmw1mVMKoWvcdGRnJxIkTef/998nOzg6McQaDHwhrccrMymRL1nryS3PL9pnURQZ/4REntSGUvH18e7rGdPVJGG+44Qby8/N59913/W6XweAvwlqcXKVWqK1nWs+kLjL4GwVcNnhOx4uOc6DggE/iNGTIEDp06MDChQv9b5jB4CfCW5zcWTk94pSVlY6q0qRxop1mGcIEz5oTNoSSf53+NW9lvOWTODkcDiZPnsxnn33GgQMH/G+cweAHgi5OItJORFaIyA4R2SYivwtUXxU9p5Mn0wBIaNwiUF0aziA8N+Ha4TkNbTGUiU0m+rzedcsttwDw6quv+tEqQ32jqvFYRJqKyGcistv93CTYttnhOZUAf1TVnsBg4E4R6RWIjrSC55SZaYlT4wQjTgY/4bCnbEbzmOa0jW7rszh17NiRUaNGMXfuXEpLbXD9DKFCVePx/cByVe0KLHdvB5WImpv4F1U9Ahxxv84WkR1AG2C7v/tyues5HWsmZCXA5iJLnNLatmBLgr97M3hL80JICoN7QD2JX0ttEKeU/BRO5J0gWZN9Psdtt93GxIkT+fjjjxk7dqwfrTPUF6oZj8cDw9zNFgArgfuCaVvQxak8ItIR6Ad8V8l7U4GpAFFRUT6d3+VSFNjYTdgaCwdzLXH6qnULouN8NNpQZ+Ij4O48iKznK5525tbbkrmFDSc2kOzyXZyuuuoqWrduzaxZs4w4hS8RIrKu3PZsVZ1dWcMK43FLt3ChqkdEJOgL9baJk4g0ABYDv1fV09Ikuy/gbID4+HiffpuqW5zUITQugaxCS5z6dG2GM9Jn0w11YH8knDgC+aVhJE52ZCV31D63XkUiIyO54447eOihh9i+fTu9egVkdt1gLyWqOqCmRhXH41DIoGOLOIlIJNaFeF1V3w5UP+pSq5Q2QmQUkJtGTJMmtGxllMkuMoGM41BiVwlZf+OwJyBCRHzKEFGRqVOn8thjjzFr1ixefvll/xhnqFdUMR4fE5Ekt9eUBKQG2y47ovUEmAvsUNV/BrKv5M59uL3DI8Q0aIY4IS8tjfgWJhjCTpxYNZCKbfA2/E1ZtJ5d9Zz8IE4tWrRg0qRJzJ8/n6NHj/rHOEO9oZrx+H1gsvv1ZOC9YNtmx8TKUGASMEJENrkflweiI2stQFCnIE7ITUsjrnnzQHRl8BIngAMK7Z81qDNllXDtquekipbUXRnvu+8+iouL+ec/A/pb0RCaVDUezwRGichuYJR7O6jYEa23CgjK0HTw6EE+T99EUdEIJCKevLQ0mnTpEoyuDVXgwLpxtSgMPCdwe0429OsQ63elq8iF05J8nznrrLO47rrrePHFF7nvvvto1qyZP0w01ANqGI9HBtOWitTzJenqycrOYl/+D5RQQoTD7TmZaT1bcWJ5GwVh5DnZMq3n+Fmc/MGDDz5IXl4eTz31lF/OZzDUlbAWp56dkvlV+z8SGZ+AAxd5x4+bNSeb8YhTkd2G+AHPmpMtxQbFYQX7+CmyJDk5mUmTJjFr1iwOHTrkl3MaDHUhrMXJs16sAq7sk2hpqfGcbKZMnMLAcwJAbEmt97Pn5Mewx0cffRSXy8Ujjzzit3MaDL4S1uK058AePkz9DwXFeRSfsO5xMp6TvTjd/ysOA3ESARxQasNn6dWkF7c0vYUo8e0G9cro0KEDd911F6+++irr1q2r+QCDIYCEtThl5pxkf94PqLgocouT8ZzspSxaLwy+eSJYU2s2rDk1im5Eh6gOdQ6GqMjDDz9MYmIid911Fy47buAyGNyEwRBRNa5SRcW6YbEww3hOoYADa1AvDoNvXpk42fBZMgoy2Jy/maJ8/67eJSQk8PTTT/Pdd9/xyiuv+PXcBkNtCIMhomrKspIrFGQYzykUcGIN6oX+/cFvHzZ5Tvtz9/P2ybfJy8nz+7lvuukmRowYwfTp0029J4NthLU4eRK/ClImTsZzshcnIGESEOFZc7Jj8qtnk578tsVvaRjd0O/nFhFeeeUVXC4XU6ZMMdN7BlsIa3FSlzWt51ChIOM4UQ0aEBETY7dZZzROAAmfgAi7bsKNiYyhaURTv685eejUqRPPPPMMn376Kc8991xA+jAYqiOsxanMc3IIBRnpxJo7321HgAiB4jCa1rMjK3l6YTpf53xNbk5uwPqYNm0aV199Nffffz/ffXdaVRuDIaCEvTiB5Tnln0gnzohTSOB0hFFAhE2h5Kn5qXyW/Rk5OTkB60NEmDt3Lm3btuWaa67hyJEjAevLYKhIGAwRVaPqjtZzCPnp6cQ2bWq3SQbcnlOYTOuBO0tEkCm7Cbc0sJOKTZo04b333iMzM5OrrrqKvDz/B2AYDJUR1uIU6YgkNqIhglucjOcUEoSLOAFWQISdufWCUBirT58+vP7666xbt45f/vKXFBcXB7xPgyGsxan/WYP4Zec/EhkZSX5GhhGnECEyjO5zErvFqTg44Rjjx4/npZde4sMPP+SGG26gqCgcsiMaQhnbyrQHA1VPMbhS8k+cMGtOIUKEu56TS8FR3z0oB9hR/cNTRjsYnpOHqVOnkpubyx/+8AdycnJYvHgxcXFxQevfcGYRBr9fq2b7vq0sS/kPxbkZoGo8pxAhwmFVww2Lkk4OcNm55hTkevf33HMPc+bM4ZNPPuHSSy8lMzMzqP0bzhzCWpwKiorIL80hPz8dwHhOIYITKI2EIM1IBRSHTTfhli82GGxuu+02Fi1axOrVqznvvPPYunVr0G0whD9hLU69OvXn8vZTKcw/AWA8pxDBAbic4IcK4/Yj9niAdnlOHq699lo+++wzTp48yaBBg3jttddsscMQvoS1OHl+mRfkGc8plHACJU6waVz1K2KX5+TnSri+MGzYMDZu3MigQYOYPHkyN910E6mpqbbZYwgvwlqcNu5ey9IDcyjMtcTJeE6hgRMojQgTz8kmcUqMT+TuFnfTqWknG3r/maSkJJYtW8YjjzzC//73P7p3787s2bNNPj5DnQlrccrKy+JE4VHyjecUUjgBdYbHmpPYFK0X4YygWWQzovBfsUGfbYmIYMaMGXz//ff07duXadOmMWDAAN5//33UjtxOhrAgrMWpRBVEyMtJR5xOohMS7DbJwM+l2gvrexg5IDZFHeaX5PN1zteknUyzoffK6dmzJ59//jkLFy4kKyuL8ePHc+655/Lmm2+aG3cNtSasxanUZRXMKMi1Uhd57g0x2IunVHtBOPw5bJrWyyvN47PszzhyIrTy3YkIN954Izt37mT+/PlkZWUxceJE2rdvz0MPPcSPP/5ot4mGekLYi5MKFOSYpK+hhMdzCoccA+KwJyt505imPNjqQXo37R38zr0gIiKCyZMns2vXLj744AMGDBjA3//+d7p06cKAAQOYOXMmO3fuNNN+hioJa3EqcamVVy/b5NULJRy4xSkMPCdx34SrQXafxCFEOaNwaGj/E3Y6nVxxxRV88MEH7Nu3j6effpqIiAgeeOABevbsSfv27bnllltYsGABO3bsoLS01G6TDSFCWKcvKnXnx8nPTiehY0e7zTG4KVtzstsQPyAO67PgIqg/9QpLC1mRuYJe6b1oT/vgdVwH2rdvz/Tp08vKv3/88ccsW7aM999/n/nz5wPQoEED+vfvz8CBA+nduzfdunWjW7duNGvWzEzLn2HYIk4ichnwPNY49YqqzgxEP6VqrTnlZafTqmn/QHRh8AHPmlM4ZCYXsW4oVpdVSDFYlGgJq3NX0zSzab0Rp/K0b9+eqVOnMnXqVFwuFzt27GDdunWsXbuWdevW8cILL1BY+PPPlyZNmtC1a1fatGlDmzZtaN26Na1bt6ZNmzYkJSXRtGlTmjRpQoypdF0rgjUW+0LQxUlEnMC/gFHAIWCtiLyvqtv93Vepe1ovL8tM64USnlLthWFSDVcdwZ/WsztDhD9xOBwkJyeTnJzM5MmTASguLmbfvn388MMPZY+9e/eya9cuVqxYwcmTJys9V3R0NE2aNKFx48Zlz40aNSIuLo7Y2Niy5/Kv4+LiiImJISIigsjISCIiIk57XdV7TqcTEUFEcDgclb6u7r2K7YLpHQZzLPYFOzynQcAeVf0RQET+C4wH/H5BPvpmAV/vfJ8SVwHO5s3J9ncHBp8oBEocsKYV7Im025q60cgFzfvCqijcqhsk8p0cioOX1n7GS30/P+WtSEc01/T8IwDfHnyXkwXHGNN1GgCf/7SQtLwD1Z66UVSzU9oLwvBONwLw4e6XyS7KqPb4xLgOp7RvEpvEkLbjAVi84xlKXNWHwrRPSHa378rbO96jS5N+jGt1D8VNC3k79R/QAYrbFpFfkk1ecRb5xdkUleZTVFpAUWk+sY6GROfGkX0inR+yvscag5WCkjzyi7Mp1dAOaxc8ImUJ1bNPLeW30y8NRFdBG4t9QYIdLSMiE4DLVPU29/Yk4DxVvatCu6nAVPdmfyDfl/4cEhHjcooLCbEk2C6XA4cjNH/2BsU2EQdSq1UaLS0VcTpD6+8ISIlLnBJ6y7elWkIo2gWha1so2uXC5SpxFZYCJT4cHgtsKLc9W1Vng/djsV3Y8VeozG89bcBxX8DZde5MZJ0W64C6nsffiMg6LSkJObsgdG0TkXWu0uKQtKvEVWTsqgWhalso26Xq93HMq7HYLuyIQz0EtCu33RZIscEOg8FgOJMJ6bHYDnFaC3QVkU4iEgVcB7xvgx0Gg8FwJhPSY3HQp/VUtURE7gI+wVpCnqeq2wLYZZ2nBgNEqNoFoWubsat2hKpdELq2nTF22TAW14qgB0QYDAaDwVAToZ37xGAwGAxnJEacDAaDwRByhLU4ichlIrJLRPaIyP022tFORFaIyA4R2SYiv3PvnyEih0Vkk/txuQ227RORLe7+17n3NRWRz0Rkt/u5SZBt6l7ummwSkSwR+b1d10tE5olIqohsLbevymskIg+4v3O7RCQgd09WY9fTIrJTRDaLyDsi0ti9v6OI5Je7di8H2a4q/3Y2X683ytm0T0Q2ufcH83pVNT7Y/h2zFVUNywfWAt9eoDMQBXwP9LLJliSgv/t1Q+AHoBcwA5hu83XaBzSvsO8p4H736/uBJ23+Ox4FOth1vYCLsG4E31rTNXL/Xb8HooFO7u+gM4h2jQYi3K+fLGdXx/LtbLhelf7t7L5eFd7/B/CwDderqvHB9u+YnY9w9pzKUnOoahHgSc0RdFT1iKpucL/OBnYAbeywxUvGAwvcrxcAV9lnCiOBvaq63y4DVPVLoGLOnqqu0Xjgv6paqKo/AXuwvotBsUtVP1VVTyaB1Vj3rgSVKq5XVdh6vTyIlS9oIrAoEH1XRzXjg+3fMTsJZ3FqAxwst32IEBAEEekI9AO+c++6yz0FMy/Y02duFPhURNa7U0YBtFTVI2D9wwESbbDLw3WcOmDYfb08VHWNQul792vgo3LbnURko4h8ISIX2mBPZX+7ULleFwLHVHV3uX1Bv14Vxof68B0LGOEsTiGXmkNEGgCLgd+rahbwEtAF6AscwZpWCDZDVbU/MAa4U0QussGGSnHfGHgl8KZ7Vyhcr5oIie+diPwZKxfb6+5dR4D2qtoP+APwHxFpFESTqvrbhcT1Aq7n1B9BQb9elYwPVTatZF/Y3RMUzuIUUqk5RCQS64v3uqq+DaCqx1S1VFVdwBxscM1VNcX9nAq847bhmIgkue1OAlKDbZebMcAGVT3mttH261WOqq6R7d87EZkMXAHcqO5FCvcUULr79XqsdYpuwbKpmr9dKFyvCOAa4A3PvmBfr8rGB0L4OxYMwlmcQiY1h3s+ey6wQ1X/WW5/UrlmVwNbKx4bYLviRaSh5zXWYvpWrOs02d1sMvBeMO0qxym/Zu2+XhWo6hq9D1wnItEi0gnoCqwJllFiFY+7D7hSVfPK7W8hVu0IRKSz264fg2hXVX87W6+Xm0uAnap6yLMjmNerqvGBEP2OBQ27IzIC+QAux4p82Qv82UY7LsByuzcDm9yPy4H/A7a4978PJAXZrs5YUT/fA9s81whoBiwHdrufm9pwzeKAdCCh3D5brheWQB4BirF+td5a3TUC/uz+zu0CxgTZrj1Y6xGe79nL7ra/cP+Nv8cqoTAuyHZV+bez83q5988HflOhbTCvV1Xjg+3fMTsfJn2RwWAwGEKOcJ7WMxgMBkM9xYiTwWAwGEIOI04Gg8FgCDmMOBkMBoMh5DDiZDAYDIaQw4iTwWAwGEIOI04Gg8FgCDn+P/h6ulesrFFYAAAAAElFTkSuQmCC\n"
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
}
|
|
}
|
|
],
|
|
"source": [
|
|
"fig, ax1 = plt.subplots()\n",
|
|
"ax2 = ax1.twinx()\n",
|
|
"\n",
|
|
"pd.DataFrame(mimo_step_down[:,:,0], columns = ['participant 0', 'participant 1', 'participant 2']).plot(kind='area', alpha = .5, cmap = 'cool', ax=ax1)\n",
|
|
"ax1.plot(time, np.sum(mimo_step_down[:,:,0],1), 'k-.', alpha=.5)\n",
|
|
"plt.xlabel('time')\n",
|
|
"plt.ylabel('stake')\n",
|
|
"plt.title('step_up tokens staked for proposal 0')\n",
|
|
"ax2.plot(time, mimo_step_down_response[:,0], 'k-')\n",
|
|
"ylim= ax1.get_ylim()\n",
|
|
"ax2.set_ylim(0, ylim[1]/(1-alpha))\n",
|
|
"\n",
|
|
"plt.xlabel('time')\n",
|
|
"ax1.set_ylabel('tokens staked')\n",
|
|
"ax2.set_ylabel('conviction')\n",
|
|
"plt.title('Support for Proposal 0')\n",
|
|
"\n",
|
|
"fig, ax1 = plt.subplots()\n",
|
|
"ax2 = ax1.twinx()\n",
|
|
"\n",
|
|
"pd.DataFrame(mimo_step_down[:,:,1], columns = ['participant 0', 'participant 1', 'participant 2']).plot(kind='area', alpha = .5, cmap = 'cool', ax=ax1)\n",
|
|
"ax1.plot(time, np.sum(mimo_step_down[:,:,1],1), 'k-.', alpha=.5)\n",
|
|
"plt.xlabel('time')\n",
|
|
"plt.ylabel('stake')\n",
|
|
"plt.title('step_up tokens staked for proposal 1')\n",
|
|
"\n",
|
|
"ax2.plot(time, mimo_step_down_response[:,1], 'k-')\n",
|
|
"ylim= ax1.get_ylim()\n",
|
|
"ax2.set_ylim(0, ylim[1]/(1-alpha))\n",
|
|
"\n",
|
|
"plt.xlabel('time')\n",
|
|
"ax1.set_ylabel('tokens staked')\n",
|
|
"ax2.set_ylabel('conviction')\n",
|
|
"plt.title('Support for Proposal 1')\n"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"## Noisy inputs: constantly filling and emptying at the same time\n",
|
|
"\n",
|
|
"A set of tests where the participants start supporting a proposal but their support starts at different times\n",
|
|
"- aggregate inputs with outputs\n",
|
|
"- granular inputs with outputs"
|
|
]
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},
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{
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"cell_type": "code",
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"execution_count": 84,
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"metadata": {},
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"outputs": [
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{
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"output_type": "execute_result",
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"data": {
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"text/plain": "(0.0, 28.708559063685197)"
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},
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"metadata": {},
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"execution_count": 84
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},
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{
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"output_type": "display_data",
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"data": {
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"text/plain": "<Figure size 432x288 with 2 Axes>",
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piq4Qdc1IdN78bYehZBBoPqNVeJWn5+oMyTUQDZikixYXF0vtHYqp3d4fr2JhJF2wyqs2b2k8RCkN1YIKOK5nhuhg0+iJ+HnzgV6KVZsvnJ6nYjlb3aQOPET8ylDltBNG5YxafJ1/6FW7COuY6dZA2K9zYiyJRPKm/W0cioZf/f9q1owA8tPA8cbXzZsvbxBCKUUYKS5CbOjVGXB8AyGEQAg1bGu2+6ofvq8kLHmLu7bPpJ6eq2cfOLVXZXqujma0DsJ+g/54sP1k61jgj4ERuPkNuxlYY5ZKl2rkyjYRn7E18RDBJNzy7TD2uk5miKtAtmRxaiaP46rnu6ZJqIObjtlcZe0fQymwy7A08apNz9URRmug/oqu+a5Wc2pwGK/SeIA1bjwV8nF5qcwTFzNbFw8xfBsc+6ZtIYheaSlcCjWbiXSp8Xg7wmj7IBn2kQiZBMw2sYvBJOx/B+x64w1bhAkhRoQQnxdCnBRCvCiE+CFv+08LIS4LIZ7xPu+87henY6ZbExsymh3L+9igb203rktBv1pomjKDlRaXbY6HTE6MJSlU7a2LUZk/pYRl74Gbf+0WbLnJ8kpRzqCnL2PUfGhaFAC3I4u2ESRiPRLdnrfc6AbYwI9JKZ8SQkSBJ4UQ/+L99v+klL90Iy9+wzSjtaTsin3uF0JkWyTu/3ej2nOlqMdfJNaaXOoOxGruJrWoPeoT4j+/MMPHn5+6vit0IdpK5bDfoG8rqcHp85C5sDXXbm1GqYYjJQOx4PZP4VLOwDN/gf/MP9E78UlCTp7+eABTf+1RiLcrsmWLTNHaMi1bSjktpXzK+zsPnASGbtb1b6SZri5lDwJ3A98vhDjUZr8vSimPe5+fuYHtuSIIIRjrCpHc5mk50qUai8UqhapNxtOQrgtcR9VrCnVdn/PdCGyxiSkV8nE5U+bzp+aQLts7hUspDZlxNLuMkA5RN8eRoTghX8c4sl3geus+y21jlnEdxaRbmriWSxhCiCdaPt+z1o5CiB3ArcBj3qb3CyGeE0L8kRDihtjHb5gw2mope60oVm1gHc2ojm0wIToOZEo1HFdevwnRdcCuqoSw2xVb3PfxkMnxkQSHBmK87Uj/9jbRhVIQiCEqOYSmo3US/G47HBuJA2v48ephFq59LZewpZQnWj6/324nIUQE+Hvgh6WUOeB3gN0oWu008MvX0oi1cFMIDG2kbCvuEUI8K4T4pBDi8BrHf09dmtv2NT2MTaNYs7m4WKJqr+E86qs3desnxHceHeDQQIyvveV6+iy8+6rmV/0ynAqyo3s7BMNuvcOjYbIMbmNBBMrhvfstxHbexoG3vJeiHuHzp+aYz1e3umUdeAh7Wmo7xaix8FrXqXTtEEKYKEH0ISnlh9Wl5ayU0pFSusAHgDtvxLVvuDBqI2Vb8RQwJqW8BfgN4CPtziGl/P26NDeMm2RW8J79i5ez7X/Xto95IxE26YsF6IpcRzNRffBnJ1f9dKA/xp7eyPW71tWikzfvylDJqpInwSQCcByJ7LDptg3mvIVBe4ZjfduNE0ZCCAH8IXBSSvkrLdsHWnZ7N/DCjbj+DRVG7aRsK6SUOSllwfv7E4AphNgW9oMNWUa1glpt+qM3pT3rIRnysbcvgriuq6b2HSClZGqpvH5MxI3GwC0qxquDK0amVOOlqRyaN1Y6bLrtg8lMCQCf0WZabmhGN3TKfj3wHcCbV9C4f1EI8bwQ4jngTcCP3IiL37Dl/VpSdsU+/cCslFIKIe5ECcfFdvvebGwYf1FcUJHQ9UwMWwjHlZyZLWDoWiOlyI2CK+GlKaXg9h3aooDf2KD6bAMkgj5mrS0UzFcCzaTs2Mzkyuz0zKydOKPtA10T9Mb8dEfazClCg0gvmMEbdn0p5Zdor3p94oZdtAU3cuaqS9nnhRDPeNv+OzAKIKX8XeAbge8TQthAGfhWuU3sBhu+pK4DtaJy8m+xQKqTLa5rnjEzCN37YOH0sppNznZYSk8+CaEkpHZtdUs4OhznKPGtbsbmYPiw/IFGSiC4ucLohsTDvZogaWisq2D4YOj2m9uem4wbJozWkbKt+/wm8Js3qg3XguFkiLl8FdtZ42W1iur/cgai/TevYW1Q9oRQbS2yxTWj2QfbYiVdnFOf6CCYr9J0TDcCtSJ6sYzw7cPQBIOJYMNpfqORLVl8+OlJilWbVNi3/QOEtwASmMlWiPiNbUIQurnopANaB32xAAPxDSa7FZPzVqSHEQ37/3UUFFYZshOQGKV1TbEthFEd10ZzvS54fDzNZ16apVx7ZWS/llKiCYGhaxwajJEM35zYqHSpxvhCkYrl4rjbPEB4i1B/tSynzaKyWoCzn4H87M1t1E1ERxitgYVClVzZYiixkY22OTnXsyF8/uXZ658NYRO4rnLCsZRACnUtK6u+Hax0TWx9Y+qmUbstH3ebIbUbTdMw9ebzvFlW8Xr8W8YTQts6QHiLcGKHiiVt+45JV72T22DM3yh0hNEayFdsLmfK2GvNvoO3qf9bXuZ6Rut00aJiOTdt9VefUMa6rmf5c+++SullgQ9+Q2NXT5iDg9uAzbaNqN2viClCOgwlAtyzuwspJZ95aZYLC8Wbcul4yORb7hh5ZQQIbxECpo7f1Nbwy954avdWoyOM1kDdHPXYhTXIfY04o+bASYV8SCSZUg1xEzNa1+VhW0rotZ506aJiDXowdY1dPZFNaIw3AdvIZLiNmtIeUkJmvPG1TmK4mZpuKuxntCtELNARRO1wabFE1XLXyMBwc4JetxIdYbQG6trGmi9rYQbCPRBqhkXFQyb3H+hVq7/DN2/1N5IKcXAwRq58PX0oLTfeooHUbJeJdImppdUVYG8aRu+BYAq0Nqn2twrbXhipZzibq3B6RlHzNSFuatCrIyU9UX/7EgkdcH6hALBGNo+OZvSaRV0IremwL8wrevcKNpfjSPpigbUpmjcIFxeLzGSvY7zLsuC6Fr9YWRVne2kqt3XR+8EEjN61LQKO6zEhNzYW8TrAE0ZLZh9pz5d5szWjbMnqpB/aAKNdIUZSbcztuk/F1m2DuMYbhe3+Cm0Z6qJkzQlXOlBOQ63U/uebuFReLFQpVZ322X6vFoE4DBxXf7f0gVz29/W73KbhWDD+JchNbcHFV+PgQIwHDvVtf9OTq4gWli/aGNuaEDeVHZmrWFQtl0J161mQ2xHrPgpfWGUeCWwDX+0NQkcYrYG9fVF2dIfbJy0Ej9mCKrPQgrpCdDMn6lxFvdzu9V7mNm6m2Qmtl9gSvUi6Knnr9LOKXLHF2CYx2htDKmFkFqbQhGrzcDJI6iZRu6FJWb5x8XCvbEgklxZLPHkxs9VN2RJsn2yf2xBdYR+6puzqa+Z9W8HoGk2FmF6qYGxB0bLrOi2Wl1RF1e59YDbNBs4qLekm32drf2+DOKNHzi1SqjncsSO1vRlimglCR69mEV4f7uq5uclu66brbZHFYxvDbhdnVFyAy0/CyJ03pOT4dkBHM1oDE+kSC4UqO7vD7QXRGsKpvu/NXDA3yBbX8yV3bbBKqg5OS1n11mtsmWbU7u8tQp36f11NpDcChg+692JoAr/RTO10xYKhnIHFc81Kx1eAenzTtgqc3ka4b28PXRHf2nFG0qVDYHgNYqlkMZurUrGc9qaY0dd5fyz/LV9R5ruQ7+YxhuqD99bR67hiqt9zYR7sJrW7J+rnwECU28aS6FtBM219FttoUttGTWkPVwVN7ugOc9SLEXtiPM3za5VIaYdyBj7/8/D4H8KLH7ligXRkSF23I4zaw9RVQHKH2t3BMrhSUrEcvnRmoX2BvTWcQxVL7Xujs2e3QhOg6+L6xhnVhWz6nCqX4SFg6gwnQ6TCPjRtC14MoYFRZzBe46R2Dav8lViLsJIp1jg/X7jp2ThWoZxWzxKo95umXSGBoZRWvlJfSK3Sr9Bnp2uCkF/fmkXMNoeUkjOzebJla8vqGW01Oj6jNeBuxBpLn4foAMSWV1Kvmz1sV2Ju5DcqZ9QLHUo17cDttm2AXT0RogGT8YXi9UuwuEwDaQrjQtUmXahh6ILeqB9Dv8nrGV8Ixl4HM8+Dfg0013JGre6lqwTc4XdBMEmmWGOxWKMn4r8yH1CbMZItWfzqZ06j64I9PZGtTQ7qsekupUs4sTw7B/wIrpCAEUqp1FDFRTXuQ6krasJEukxvNEBvrJPctgHvfZeBFBcXa4T8On3RNv3zGtCMOsJoDbS+om1XKvkZRbdcEWdUz1E2vVRhdL30POUMPP3nYFVU9c3D71Lb20yQm0G6WGM6W75+wqi1km3L/c9ky4wvKDp7ck83xlbELxp+GD5xbecopcGqgj+iNL9SmqyM8BufO0PVdjk8GNuU8BhMBBhfKLUVyulSDV0XDMSCOFIlB72hwmi9hUw96DV6mICtnq2miSvzMwaTcPBrFJtxx71X7Ehf8jKTbAtcyaLvKhaIm27DYx8Au4qMD2GY9zLYO9T+HTaDKmmx/urN6dcRRmvAaDFBrak2F2ZVKedAs56NYJMZtEtpWDwP4a7lJg/pquC23JTatonBP50tM5EuoW9kNruSlyrcpTIdXHqEVtHcSvS5mbFUDZQzitY9cMu1TQyhFLg1xVDq2gOhFOlijartkgz5Ni089vRG2dPbPvg2FfIhpFoojPiDNzY9VDkDT/8FLJ6F7j1w/D3L+8ejdjtGGOGNE8FVBL3uuv+qm+hKyJVqTGZKDCevZx7FK8QaWvGa+z7yW4pd2nf4ihaIG6KUVqVQgglwHcxqBiGGlrN383NQzan3se/w9bnuNkVHGK2BY8MJ5vNVnp1YWoPd4m3Mzy4TRvUF8obveDuTh2PD0gRU8hCMb9oMki0rf8S6zKjCAvzrL6hrBRObe6nqaQVaBOuG5ssbDddR2cQvPQp9RyAxcnXnCSZhzwMw8SjsfCMEk6SkRcRvULUc9E3mFrQdFyFE24VAPGRybDhBoWrfeBNdKa0ETrhLjaOVCxlPM/LlLyEi+wEYiAevPNt45qLKfHGFJjpomgS3vNxGKa3yLYa61d/rLfpKaaUJBhPNReM1mNSXIZQCfwyqeWRkAMuX5OJiiTOzBd58oBetnIEv/B/wxyE+DIffrYpKbkMIIb5+vd+llB/e6BwdYbQOIn6DfX1RAuZ6fpHlM/Ke3ijjC6WNNaNgUk2CpYWmYLAq0H9Y/X/wqzc9wFsv5bqyPbEgN+n5DeTql6odCnMwd3KVBrJMGG2qddcZy272GkkBQlN+P28VGg+Z3LkzxVLJ4oGDfZsSHo+eT1OxHI6NxOltY+sP+w3CfuPG+4pCXq6+4iL42giLQBx8EfyFCTRnNwD9G9Xqaoe5l9T/+99xxYfWn5xzvVYxVysMQinKxRy1S89j9u0ntJ5gDaVU35XSy/1k5Qy88GHFNDUDV6cxBZMqrVXuMu7+d2FPWAS9d9eREq04r1iQugmlRXjpH+CW92zXgpJf4/3fC7wO+Jz3/U3AQ0BHGF0tXp7JETD0tX0wXpLOfNliYaG4rJSypm3SMbz3q9QKrZ7iQzrgi0AgeUUDu/VSjpRo7Rg3waSniS2ovzda2To1FWcUSKgYFQ+tC+ktyT6wLM7o+l9fSpWoMhbc3KtRF87WWhWBbxaCSWVCM4MwcOvq8ROIQ9du/JMz6IYaH5ajCt3drMSlfkOjwHUKer0SU9sKZGWER2t7iEtJurKX18vI2oXjg0nYcR8snll+jVIactPK1mkMbNqkvgrShegAvmiKtxyUTGbKnJrJq3FVt57UCurc/ui2JTBIKb8LQAjxT8AhKeW0930A+K3NnKMjjNZAulgj7DMoVG38xvKCZADsuJfiC5/kE2cvk4+HCJk6Dx4dJF+1kBJ6IptYvUhnWXaDOuPpamAaGvfu6V7bbxTqgtG7IdwLA8c2fnEaZshpVVbdp4Tyrp4wQ8kgpi4I3aSS1cvbdT2F0erjBxNBppbKuBI2k0TDqGXRi4uIyiiwuqxGfzzQMKPecJhBpemZbcp72DWwyuzpjUC3GnNnZgssFqvct7fnpjTv1tEkD59duD5riLp5LdSl3qMrEAbpUo0lJ4wluikT3Ng3WCuofvW3iKxQSmks+RmIDl6V2XIlWs29rotaQIzeo6oDBJOQu8wrgNq9oy6IPMwC+zZzYEcYrQEpoVRzePTc4pommHzVYSZbwwy5+A2NdKlGqWbjN/TNmWUufEGladn9JqVpXWVGAV0TBAxtfQKDPwJHv+kKzurNGAunFYPHE0bK7HRVzbw+MPwQ6VVmxGs1FIZ7VY0fozl5RwPqlbBdF32jEhXlDP2n/xKzeBl/+TjEv2XVhLhRMtJsySJdqi3TrK8e6zz/9HnIXFB/y3qc0RUSGK6DFIkFTWX2vh7+llpB5Ybs2X9FwiAV8mEjyBSrmFF3Y9+g0Fa/m8GksmxMPw0H33X1pAZ/DIwAluNydq7QSJnkSqksEke/Ue2XvkCxajO3WCIVFds59dRDQoh/Bv4S9YJ+K/D5zRzYEUZrwJWyEUTa9h2ceYFwzxj5SzWCNZtEyCQV8lGs2lQsh3LNIbheFgbHy6vmWsokpgWbKvgVquL7+6PkKxanZ/OMpkJrm12KC2rV7NsE/XvZTTf/XihUqdnKvHNTa9O0Tl5Dt8PUM8qkeS3QvRe6pf7DXF6V4diUX7+URreyWL4kwrXars7Xq/uULVl86LFxIn4TQxfXTnKo0/GTY6t/8ybTM3N5grEywwOxK8/afY3pl56bXCIR9DEaql61ia2BYBL6DilywRUeHw+Z3Lmjm8vOFN39kY37PJhS6bG0FdaR4rzSmIJrGvk2hnRBCGxHcjlTZrQrxFhXqLmwPPtZiA2St3SeGk8zUVhA07NbG7O2DqSU7xdCvBt4g7fp96WU/7CZYzvCaA1ISVNlbvfCFmaIRvo5vmuAsN/gttEk8ZDJhBfMf26+wJGhdQZpq/O9/pIH4tC1tzlJXgHKlsOlxRL98UB7AVFegsnHlVYxdPvGJzQCarKvFZZNQhcWiuTKyhQZDRg3Rxi18w8MHr/280pHaUf+plDLFNVzUSyzDe4tlCIajVNcvIxh7mi7OhcCxrraC/8LCwUuL1XY02sgJCyl54iXK01t4Uq1h/pzaldcSTqgm1xK3MOYpsx0mrhCv5/QILUbrKsrVZ4pWWqBV0pfVQjDKvgi6nMVxwZTgySmX8a3qfEr1UfK5QtFjy5/TRpjrQC1ArJHnSMaMBiIe5q6XVML1eICC/oYz5ZS9OoG1s2IWbs2PAXkpZSfEUKEhBBRKWV+o4M6wmgNBEydgBfRuaYpIz9N1NWx3GbG5k2vNJ0WYdTqK+rec8VtHV8oNlbgay5e69fbrF8q2qcmwbOfWfayOR5bz3HkzSvMVo/HCCSgkoOTH4Nj37qMWHFVqObVecXq+I1NpVYKJkkd+SpScy+2NdVIKVfNX62IBkw0IZjJVtgTs+k9/WkIR5RZdPeb1KrYrqiFwZGv33jSrZsVc1OQ2rn8N9dBCgOpt6ZxEpvTAOsQAno2Zf5vCyklk+kyjt/g8NIkzLygtJvr4G+54rb4oxTi+8HfvfHOpUX1f62wvKCj0JsCqRVXsojwRxW1u55gAYHtuGhCoNWz0teKBPp7mA/sRCtZpEK+Gxuzdg0QQnw38D1ACtgNDAG/C7xlo2M7uenWwJ07U+zuVSvatlHqEnBt/OXZZZsNrZkReV20lj+oD+jiAlx6bM2CfWshW7YoebEba9JmG1LqSkyAjRKDjS2ulI2A4JvGpgul1Cpx0cutZgaVv23u5LWdt/4M7GaFXF0XjHaF8G8ytUStUsQO9y3LbF5HvXsuzBfb9lUiZHJiLMk9u7t4+4hLsDipUhxJF9IXlDZbzqi4qs3kgYsPK0HWkkuw2RgXaVUI5c6hOep+uyM+9vVFN/8cHQsWzqhA76tA/TI5ItB/CAaOwoGv2ZKSCH6q2EaYmrYJk3Xci2VbudKL9Kqx2Prs61r8+Yc2l0w20qdO7X3NVSweOjVPulSj9b3rDhm8544B3nKgb9ua6Dx8P/B6IAcgpTyDontviI4wWgempnFwMLZGATJvoEhJJNAcjIcGY0QDxsaudTOkWGrQdFDYFZXQ8uKXr7rNa2pmV2rvX7oEF78EI3cty78nJY1ElzeNzBxMQu8B9dnzgOcrkpvX8tZKiGpXm797cBxJueY0CsFthOczBi9czjGZXi0ANgoQDvsNbh1NcveuLqLJXo96P++Zw3aqtUBx0QvQ3KT2oBnt+yUxihsdIFS4iO4Jo0TIx2hXaPMpehxLZXi4+PDm9l+BesYOV0r1DKMD11a5NLXbO/GVj8Red5Edpedxqxtaj1re05X9KlebREtpqOXV4smubryIKC95p3LRtBbXgCtb7ktiLl3gYOFxDg7EtrMgAqhKKRtp/oUQBpucKl4zZrorZS09eTHNQDzIUKINTRbUCtS1Cfo0xAqiwqayIZsB6D+mitfVs1B7gz1fsbg8k2Mgpq69UbtdKRUzyt2EMLqSiccqK9NYi+PWcWWjHs5NCzNynaZ/IBCDwkx7hlM7lDPw/IehsqQm9E04u+fzVRYLtU0FhVaDfYTyl3Gc9QVju/ivgKkzkvLGVyCmqPeBhMq7F0wqWm/wZeg9sjntIXtZxYb52xA7wt3gSsL+Uw2tz3JcqrZL2KdvTiBdI4Eh7DPIV+zlY/RazqkbSviuZwtdC9KlLx6gJzAH7Fh/31qxccwyWBX1m1VpBqKGUsqunzmtTO6tQbLtTHelBQAiPp03H+ijWLV5YTLL+GIJfwIV/xTupVizEJbDFiZR2iz+VQjx34GgEOKtwH8EPraZA18Twihbsvj481M4UqKLjVlLrivJFC1SYT/ZkoXf1JY56rMli3TsBD3zj1KpOch6epNyhosTl8CJsmN0eP1GWRW14m0NZJMuxarNZ15e4ImzFxlKBPEZGn5TW7fdEoj4VfaANVEnRaR2rd+uxknrNpVJ1UbvBbp9LIkQyrZ9fUtWrIMWM1pjdarpbGrBVUpDecETrtUNneV37Ejx+Hj6itPkyDbaiKFr7O+PNoMYV8ByXP711Dw7ukPsiaOErWs32+ePLcsQsSHqk2a7tlfzGE6Fvb1RiCpu/ky2wqmZPPft696cWfIahdFdu7o4NZNnOtvCMLyWc7qOyte2kuW2CVzOlMguFDkU30Tf1rNOrHzGiRGYWVp+D8Ek7H0AJh5rpJminIEv/Zoas/Hh9gsib3wUqjZPXMzQlykx7qvxYEIQTowwNX6R2kKJV0B2uh8H/h3wPPAfgE9IKT+wmQNfE2a6dKmmiuVlq5RqtmePXRv1aUMAT1xMM5lpvjzZksWvf/Y0//TcZR45n6Zc81Z6DVvxv9Jz6ROktA0YR9kJZY5Ln1dOeQDpkq/aGJpGMuTj1EyOF6eyxPxmI3FnO/gNjeBGrKBIr0rhsmlnsdcLsy+pAnsewn6DkM8g6NM3Tsx6vVA3p4EqIREbAsTaE1mrWS6UArwcgLqx/P7rvoAWU0vI75FWNjlHhrOn1B9rtEVr+NdYZS5MF9XzLFSdFWmO6iwt75y1TZiS1AH1i67+afpZVUa+0ZgVbdvU6a894Djs10m0Ot83iuVaA9mSxfSlM+TTsxvv3Aa241CzXebzJWrt6pW1QvMWcquCiVf7VAG1KIgONAPaS2nlZxOimYqr9Ryp3ZQceOFylumlMq6UdEf8VI0wc333QqibquVg3uAU+UKIESHE54UQJ4UQLwohfsjbnhJC/IsQ4oz3/3pq+g9IKT8gpfwmKeU3Sik/UD/PRnhNCKNUyIeuCTKlGrBxAsz6KlYTAk2IZQ7edKlGxXZJpl+g4Otl2r+TwXjQS75oUwv1Ydn2xi9Jnd22cFqZkAB0k6jfIOrXcaXLZKbMxYUiH3rsIqWas2a7Dw/GOTgQ5aWpHIuFatt9ACVUNltITkpArDKHXVossVioMr5QpFC11z7+eqIujHbcq1aWA8cULTjUtXrfepblk/+kFgegVqgDR+Hg1y5fka6g0Duu5FJakUc2qxk5Qj0Tx1xtGqtYDienvIVGeQm+/Bvw9J82HNvLtCXdbLZnpVmo78im2oJ0ldmqHXVfutRcODmdY76gFlf1tcSmGaDXIIxsx+Wx84sYmsbxkYRaGO1/x+Zi3lYgW7L4i69c5OSlOZ567jmy+Ssj/EDTf3VxLkdxo3Gsm+39WzPPeSdboy8cb/EYSinTqVVV71N9QSQ9yrjQqNkuM9kK0YBJb9RPrmKhC0FP5hm4/CQ128F34+u12MCPSSkPAncD3y+EOITSdj4rpdwLfNb7vha+s822923m4q8JM108ZPJVh/p4+Nwi9+3t3tBnVH85hVCfVmJcKuRTAqowi5ZIEQqG1P7hFGTOEyq4ZP2DnMz6uHNojQuAGqi6qYRSfSWcGCWg+TkQnga7i5rtEg36ODuX54QXx7QeppbKhP06XZE2KRKWLsHsi8oZuxn/gy8MkR5vFec5nl3J6dk8/fEAM9kKAVO/ORVtDT95Xx8LSw6pqKX6oXtv+32Li+oT7mmuQqWtJhNjRf9VCyrOyGM0WY7LhXklCDY7QQ+lokynHcKR1Y74+jmODMUJWJeVoGwpGeLqg4DHSjSDMHyHIgdYJTXxSVeZ7nRTaVQbUYXrC4h2cB2cYIrLPYdJeGltmtH+m7pVde2BW7zsF1cGV0K+Ym+aGLIexhcLTGbK7BUgkGSKZeLRK/Om1MIDSHEBIe32lZxbIV3FeHWdNTS5lR24QmOqJ0Wu5GDPm5rPsD7GFs8gfYokkQz7eN/rdio/sVEjMptHVioUjCFSiWsIrt0EvDQ+097feSHESRQ1++uA+73d/gSV+PS/th4rhPg24D3ATiHER1t+igKLm7n+a0IYgWIO9cUCRAKbY6JEAwZ+Q0MTYhlNOxY0ODGWZDSSYNeAxbOVRc7PG+zq6YOh26hOzjA38DZ8vg1YQq6tiAuOtWzFmTeSvFCFnd0hdvVEWChUSQR9jKxTqO/lmVxjYlmTUm6vozG1Q3xIfc54cUblDG5+AaMmMXTPXFHJgF26/kXHViBLlA++aBPOf4qRZIjXj4aIHHqg/c6BuDJTlTNKyIRSqu4UrLa9lRYVe81zPtfnhmTYpKddtc026Iua9BkmhFcLgfqjEIK2JUPccqsjXzbTEtU1o77Dav+n/1x990XWJ2AYfhVMPfXM6qBg6SKFDkJDeGbJhqtys1qOEEojjQ1ubv8W1AXzbK7Cpfksd+kvYzgVxda8wjijenxWulilLxogucmktq2wjSiFnltx7RpVewNWpmsrAbx0sb3PVawQUNJRWRuSO7zvUj0XX3D5sxNCLQ7zM0gvzEAAflNjOBnErKp31qpVqflTmD3XwDxUMIQQT7R8/30p5e+321EIsQO4FXgM6Kvnm5NSTgsh2lG1H0YJsm7gl1u254HnNtW4zex0NRBCjAB/CvQDLurGf23FPgL4NeCdQAl4n5TyqRvRnmU5nzaA39C5a5cyAZ2eLSwrIieE4OuOD8LpBJZTI1CaoRZUK2t8EURsANsXZ0OR59pe1UbR1IwWzlCdnUHInQwlAjx4dJCXprPM5arE1hGiubKNoYtVWtwy1AXeldr6hVBmxInHkLZN73wJX+rrMSoFQk/8FXQNqEnwehYdW4F0oUyhXGGEApojyFcMIpceVZPAyB3Ld/ZHFCvNCMKO13vZjmPKZr/SryNdQKoVayDWGBtDiRDx4OYWLeVKBcO2MHOXGxPVUqlGulhrEDyen8wS2pUiuucBZSo9pGJrZEmZl3pjASUYJx9X1Tw9TQ3DD3YZ0uPQe7Cp6a3Vz1271aIjN7X6N+ki7Srh7Gn0ngNAgFjA5OBgbNMxVVTzirGX3HHVZQwkUK1WcPUSGNryeLtNIhnycWI0wc5MjN09EcJXIYxioowRNTmdC3F+vkgiuA7Ltv8YTD21ejHjiygLgm/FQtGxlm+r3+PK5yaE0szzM0jv3ELAI+cWGU4G2RtR23RNcOtgiLDvmrVKW0q5YYlkIUQE+Hvgh6WUuc0wLaWUF4GLwD1X27gb6TNay/7YincAe73P9wC/c6Ma4zc1RrvWztuWLVlcWCiSLS3PsHxgINqsSuk5oPNLc9RsF10IBF4Kfm8i29kdZjAR3Fjode1RcRJaSxR3rUgtN0fv3BcJCJt4yGS0K0x4A1OYlBLBBpTyxkS8SWE0f1oFlo7e49VaqiLD3QjpYFQzRLKn0CqZNZyy1xc92ecZLb1MsWphSIdo0DNDtiMNuHbTtFV/+ROj3v4rVsD144uKoOFKiVHLYs2fobC0sKm2PZWN8OJUjosLimSQLVn88qdP85ePXeJTL8w0/BG2I5WP5Pb3NtqVDCthMBgPNNviiyhNrpxRQsWxlJ8hP7Pc37AWWsdTK/qO4IZ6CBYnEY7yGQVMvcHY3BRqRZVs9fznr1jTro9LXRNortVc4F0Fmy7o0zk2mmTv8XvVu3EV5xhmhqH885w6d47Hzy/y8eenVr37DUT7PN9pm/HTLvVS7yG1wFw4o77XhVFshd3edRpjTwiVeV+IlkWl12cVy6Ey9SL2+KNXfJ9XCiGEiRJEH2opiDfrlYKol4RY004rhLhbCPG4EKIghKgJIRwhRG4z175hmtE69seXWnb7OuBPpbITPCqESAghBlakIL8uCJg6+/ral4deSf1+04FeLi2W2NsXpbvuf/HYco5jMzFbxA71cWwkQTRogLncyb+pbMhhLw3Jzjc0E1xKh6VyjXLVIVusEE8EiPgNRlsTJ7aBRGl+Pr1tJSNvpyvUjOoJXH1ecG5uEpYuIUUfItSF5VtECqHMF/HhG5rSJaLb3LFvkPnFDLeNxtQEtFacUf3Fb50kvL9zpRqL1dbaU8v7wi0vMXL6T7DdKunUTiL3vWdDba8cGiK8dLoRZ5Qu1XClxG/qIKBkOYT9hpqM8zPqWXvPPhowCZo6tisxpasyJ7z4Ec/Mk1T9GojD2OuViWfkTggm146Zmz+t2JmgVvGtrLrYABppogEDn1cbw3ZcilWHkF9fXSKlHa6BwKAJQTKs7jfv2k1z8lUIkoCps7M7jCwUlfa4BtaNLZSSfNXimDiLMzzGfMldO99bccHzG61oq26qEiuVncuqPRPugvQ5L43Q3iZZqU5oqMOpqeOBVNDgjfvUO6RrddeApFi1+fSkjmXP02WUOTFm3bCgV89S9YfASSnlr7T89FEUMeEXvP//cZ3T/CYqU/ffAieA9wKbynF2U3xGK+yPrRgCJlq+T3rblgkjIcT3oDQnfL6rz8nkuE0NohXpUo3FYpVEyIcjJQuFKvmKje26jVo0cS+5o4wOImZPkY/uwvY75GdzKhWPZ2o7n9OwI5LDg23su62Bb66jVPwWumihbPHcZJagqTP+4hRvuzVMPGSuNhmtCKCrzwuv37NOni1fWK26ew5srrPqzvClCWVOHLwFo5xj5/53YUSS9EV9GJF5iPauqgZ73eHU2DPUx56EUOmWhKba1m5C9HkLjtYcYvOnKFZtPnmuTE2bb8ZsLbtXiDlZwoEic3YYy9m4Ro6UEuGotC31OKNUyIepCySSkKlz395uXp7OqzRNU0+rA70qqeWaw6PnF4kFTW5PSmUGKy0qX2LAVQy8YBICXrYCTxB96LFxLi9V2Ncb4V23Djcnp1YKuHRoGD6khFKasC7Z3RMBT9MuVh0eH09zfDTRXHSth6sJVvXGaiCU4vaxFAuFKguXrZbkAldOEXdcyUMvXWYvE4zuOs6S4yezosBlnXHn88IeVsbonZ3LUclX8Okak/kyuhFYm2V72fMcrIwz6t6nTKut26VUC7RWX3B9gbRwWplSG/u29GGLKUyvZ1MXGjlbZ1L0kXQmcHRudILU1wPfATwvhHjG2/bfUULob4QQ/w64BKxbi0ZKeVYIoUspHeCPhRCbStlxw4XRSvvjyp/bHLJqdHpOtt8HCIfDVxXgULEcvnRmgUODMQZXZFVIhXzM5WrMZKscHoyRCPiYzVbRhODMbB5NE9zWk1IrpOnnkezA8idx3AVAEvbpajBF+pirhYgJsfrlXpqEL/8/ld7fDCtzSmJM0ZNDXRAfIlsqkwr56I76OeeqeKhY0MBxJbomVJR8OQNP/LFaYfujcPhdhP36xnFGyR1Nh+qmINU9ZS6o6/giaL4IwbhHp450wYF3qomzTV626wbHhsoSc9kywrUZGBhRQri81H5C1A2VxaDVqSxdsoSpCT8DsSDTubJ6qXsOKJahN+REuAtD1zFLGSqh/g21PSkhsfCk+uLZ/OMhkxM7UoR9KpO7rq8dyzORKeG4Uk080lX9rOlqnMUGlP9LCFoFb7pUI1OySIZ8lK0Vq/n6NXzh5Rd0LJj8StNcWb9fT1ZdFbV7M+beeuydY6vncvhd+I0IXVE/mq17VYSv3Pe0VKohXJtKdoL0Uh//7ytT9ETUe1MXOvP5CpOZMocHY40YvdZJ3HFcfIbO3r4o4WSQvcMD60zyUr1vdV9eA22mL9dW/iXwfMI0LR+rTuv158Bxsk6A8Ykl9vVFEXVhFO4mtO/N2PNnyZct+v3aDU2QKqX8Emsnr9ww0amHkhDCBzwjhPhFlGKxKf7+DRVGa9gfWzEJjLR8HwbaeF+vH1pfvFY1/sRYkkLV5sGjg8vijIQQKk9UMAVdu5DBLuaNuwnnzuIOHSKXGuVQMqhU9v5jWLlZypbDfL5KT7RFIBVm1YQV7lNO4PmXoHteOdb3vAXiQ8TiXZihNIVqHiMklZDMV3l+Msvdu7sUjbqUhqUJKr4E+ZpBYHGWY8NK2zk7l8fQtLVLpdfNDZHeVfffzoyhxmUzuDRTrPHCmXn29EYolir0+G3ia6VLul7Iz8ClRymWY1j+BH2H34QWTiqNrZ3zu1pQhItWs4lrE6fIhal5xhdD7O6JqJda02md6AtalMzwg9izp5gf+ip2baDtqR5ykUKjFulvbK9ne3ek5InzaXRNNJLLtqJuqnJdqQRP/zGIj8Lci3DoXTD7gmrf0G2NiS0V8mFoGplSjUhAXz45Sdcz671uRUOVCTA/d4mJmRlGUoeJ0iT1XF3Q6yY0o1JajTmnRtmX5OTJs+zcfwuH9h8ANqmht2sGIKQLEvLjT2Haw2ha9zKhE/EYd/nMPIO+EiktTOuc6EqJIVTpFaO6RLxQBtHbXhOWriKnRFZUxJ38ivf7CsEPjXRhgKLpRwdWJ5j1Mq4sZipUAxXm81V290bY0R1qJFyOF87w9vA5pvQIdw0HiWzvvHSgNCsdeD/wI6j5/Rs2c+CNZNOtZX9sxUeB9wsh/gq4C8jeCH8RNBMQ1sdNtmTxj89cxpEufkMn7DPoiwWIh8xGZLwm1Meqv3e+CFIL4ThRzFoW6TpILYhleyedeY7owmUWuu4kU6zx5gO9TZNgndqbn1FxJLpPUWQrS41A1NDIUXaa/ZCb4raBHcRDJtW5RYL5i1DWVbr7UIqKC+cvXuKMplPWarwjZXm1lMoUqzbJdsJl+jlVtjiQgEgv2ZLFh5+eJF+x6I74V6caCibUiq6cAdehWLV5bHyRL4oZxrpCjBkZouYE8X13Kgr49USrGbKag1A3Zb0fs5bBKc6hhRIqFUs7eA5h+o82t0kHv6nxut4as2Zv817zM0oD8YrRlao25+Qw8cE+ahtR81GiejQVZM7tJ5Zssl1TER+OK7FdFynh9p3JtmzI+qLHlSghEoireKLoAFk3SClbIhILEm2ZIOMhk286MczTl5Z4/Z6VMXOyvUO9tAiXHkX4e6ASxPUo5Fcc9JocU+MiO9nMSrAeQinFustNIbUwOS1+RcX81losuV6wqKqpZWJikS3VSIXNhnAO+nTuGdDoGv8Mx7o1gufPQfBdDWFTju3C54sRTb9A6tw/wPiSil07/m3LBVK9vU5teQ66ZWi5p7oA8scUE7LuuxOCldpktmTx2NkFLOfzzCRupbu7FwHNekbFRchOEhQ2sf4DRNqZ/rcZPFYdQBn4n1dy7I3UjNayP44CSCl/F/gEitZ9FkXt/q4b1Zj6utRtMXdMZEp0hX0YukahajdYa7qmnK2GrnnVMJurQLWYdOmN+SE/TaAY5PTsMKOhGhRm0a1m9ub60MuWLLI5l66+Owgn+5QD+8kPKm1JMxoVS2u2y4UlyaHB/cTjQVi8QPix36fbimK4z8Pxb4BgkqWB+zhfnuNS9HaCeoQvn1tgKBHg0XMLuBJyZWu1cKmzn7x7SZdqnJ8rEA+piXOVLbpu0rn4MDg18lWbkpYgGfSpsKNKFWmiVnvXUxitLKS3+00Q7cfMZwgUppCXn4FqFoZOqH1Wmgjrz8oML9tmO5KQKRoLDkDZ9kvphhPclRDOnmFox25EauMXX9ME3SGTbr8OAQuoT/KCmieI6t/bof67lFL5Hbx7LlRtfu9fz5AIjhEtGzwYmSQWCTXMhrt6IuzqaZMM1RdWNPVLjypGVz1jQGkBXBc33I8opdHLi5DsufKgV2gKzc0gmITB28AXxkoexa7Gqdgujz3xFXbHJN1aXrFK25iPsyWLjz57mblchb54kK85NrjMHCmkiwRSYR+3jsQJJLq5daQZGG45LnHy9NtTBEWvEiYtPkDHF6XmC2JZOYzshCIdOG2q9dYf0tIlpXWP3rX6PlszedSFUWqXOieociC5qVUZP9K2yfO1fnbKy+DaFKq2iqSwHFwpCdmK9ehIiRvqgVibjCPbBEKI51nHdiulPLbROW4km249+2N9H4mqf3HDsfLFS4VUkbGFQo1Y0CTsa3ZFPGhy+1iqcVzras7UNd68qwsuBimVMwRKS1TCw41JMGjqBEy9MaAKJZuPPz+FvzRHd77KbV1xovERFQuTGFNakmdTFhOPEsqB1ncICkX48q9gzJwi7BtBdoUaL0ok0UshZDJTC7BPCDQBc/karlQv50obeaZYo5gukBQ2Yb9s3D9CpUjqj6/jvBUaSEm4bw9LWYtMvkYybBLWjatyPrfDshVwOa0oxJquhrZdg/3vJG1fIOI/xaAvDAhlwiotKmHVirqZJDvRLL8d6cPOZxFemv4GpKuSsHpamCslppUj7mTwR/Zv2G7XlZQrNXzWAqY4BSN3YDsuC3kl+Ovd85ULixzojzEYH1FaRb2p3mAcSYVUQOX8KdhxL3OxY+SqSySjPmyhUZx6iVhvT0MYVSyHXMUi6jeXl7bvO6zuZeKx5cytYBI0DZGfxl/ONvxppq5xdDi+bgzbMuRnVTHC3sPN9CQbwR+F6EBjljI0gahkkX7AZ69ZBiRdqjGXqyARZErVZeNZev/Gvfiitx7sRYv2LMs8bjkulj+J5lpKw6gHQHvo0QoYmkYuuQvt8uNQnFZCdqWfUAiVGWP2xfZswq69y4Vzw0xnrN7WuzzNaSoSomIkqJQuoguHiN9AIHh5Jk/Vcrgrpa4xnAzS12uqOmcrY5q2D776Wk+wpjASQnyM9SXd117rxW8mNE2woztMwmOmxUMmh/pjDT9RoWa3lZw7ukNNGqpmgmuRqzkYNRu/oRM0Ia83A1f39Ebxd4UamZrTpRoVy6Ev6MPNS3KVGlFfGHber1aucycbtmRZK2JYELj0BYgnwXGQ0UH0YhFR8zIdWBUiPji4bx/OUoA3Hejl7FwBv6Gha4LFQo14sGmuyJYsfvvzZ+nJXGZ/3OH2fREi3v3ftStFtmTxzqPLnbdLpRrZc0/Q5bOI7L4HhCDq2rxBLOG/XOP+A71cOJ2+LvWM6uZCKVW81oN7Y8StslpJJrzM51NPUQvsxS5Pq2ch2pg96qa9shfvlD7fFEY9+7Gnz4N0G7Z4Be/4/IwSRo4XE1RYIJ/N0xWPrltawXYlz5R7COfOEk0G2D2yvLhhwwznKq2X/iPq42GsK8RwMqjSNy16x5lhol0+hJbHlztPKJYimjCXCf6zcwVmshWGkkEODqzQ4Orpalon+egA3PW9VBfTFN3n0fSmBSBg6MzkKpsrrVLJKmGanbyCzAkeWcKrG6RrAuHauCII2Gv6nlIhH46EbLnGSDK4bLEUDRjsHh2mO9BH8ewXePlSmn17uoi2CNXuiJ9LsS5m9nwrI+Y52P+g+sFLq7RDXgZX47SbohroglQ37LhvjcDUbi+3XGu2cdn8vRXBpOob6apCmT37lbakmcok3IKYafO6virdVpzIzh6mHD9CKDadU89bhwrC96e9QpLtNLNtgBbz3FVjPc3ol7z/vx6VRcHLScK3AePXeuGtwJ7e5aaNsN8g7DcUfbrlRZzLVzg7W+DW0SSuC5mShUAQ795DuVrj8YsF4mnBiX6NsM9zTi+LM2r6p1IhHxcWSow7greYgmi8W6nrdWdo/7HGgFY+qACIsqJ8+4Jovhhhdwb2vVUN9GoeqnmE7KYvFiBg6kggFjS5f38vi4Uq9+7padxPulSjZDnE/DouNvlKjXovvPVQH44rCbVohdmSxZ8+chFjZpJdMcE9I4J4QIe550lm5umLHScZMhkX8rooRulSjbNzBZIhH31xjbQbIr7rTTD7HAzc2qBoHxtNMr6ke7yK5cQKShn44i8rVmI1D30Hm0wmD6ZpIKSzPMCzpXgZgPRWsLmKxclLae49FMFnrC2MXCkpR0Yxq5kGtbu1T/yGRnfUz0K+qgRT5qK6H28ST4R8WI5LueYQbPgmqkRrC9wxEmFHLs3OHX1E3OUxUXUhtyrP2+UnW2x/LcJIV7n8dDNPZGGCekjRUqnG3z4xia6p2J0NK4heTZxRPc9jcpRu24/f0KhWq0wXfETCLuE1zhMPmTx4dIBnJpa4a1dqWbtCPgN/QkfWXCw9SLEqubxU5kB/cx9T1+iK+JjNxCE2qtrxwj8oc7UZUP5af4xd1mnkcD/o2vJwgDpcV2mDdm21FhfqUnRtX0QFxgIYPjBSylxaTivN27XUp5xZJuyqhQzJ6jShgMHO7jA7oyo0Q9Q5NV7fzJuD+Ms5YqFN0O+3GEKIPC28TsAEilLKDe3eawojKeW/eif/WSnlG1p++pgQ4gvX0N4tQ9V20IRoG+A3mSmxVLI4PBjDdiSlmkNuYYovPn+WrIgTjHfx4JEBdL+LXMyy1HMHteAEi9OXqYbcxsv/bCFONOVw+1gSU1d1kE6MJSmWK5yIpAgHNOUIrWTVpNRiR5aOg6sZyqSoGzB6N75wL77iHMQ9tpY3YfpylyCaREqJlBJNCO7etdqmXE/sOuOEiYZ6CO1oZgNplwYmXVK5ulJ+A0vaZOfGiZs5KMyRNCVv2NuDqQvuPnoQbXz+qksAtLYv5OTRMksEwiOkQkNAXK3m/dHGBJgK+0mOdaHVcp6JSGsO+dKiMu0lRhRVWOjLJ8vT/0w4kuTWsf0IX+uE03DaADAS9zE0FCdTthDS2djZLiWaXVL+i7os8bToI0NxuiJ+uiJ+PntyVpmH63Vx9rwVdINsyeL8QoF0scZbul1AQCWLmHmWqHEQx1GJcimKZUqg7V1jVemDWrEphL2JM1uySOcLdGklkrE4ye4weHTzdLHG+GKRgwPRtvTnNjdMsWqTr9qEyjVimyHsesleY4kujpcWyZYsLl2eJBzwU/BLbomP0T4UHQ4MxBjrDhNYkSGiZrs8fvIcieplunfeTm22Rqa4PHvCQqGKXUgzGqwgd7wekZtSPlrpAF2cGp/A7N3DrmDr4qSNlubUmvFhrQG2mqb8cuNfXC74y0vK9B70tEbHavqRJp9UtY7qp/D+z1XdZfRvvZ5JRTfBF+F0rZeBwhyx0NWlYLqZkFIue5xCiHcBd27m2M34jHqEELuklOe9k+8EejY4Zlvi0fNp+mJ+DvQ3hXQ9DuTlaWVGODSgcpSZ5XnMF36PgayPRKCHxeA7yc5V6S6cQpNHcI0QVVuClIrMYLi40UEWailiQpD0SpVbjqu0L6Ei8bGrShBNPaUouOWqor/2HCBgCg4NdxEq5NQgDiRxew9jXyxgWFU1eL1JZiTsMInygcWDJiFfe6EQD5l8yx3DzOZ6ODG2fIX5+HiabMni9Xu6G76HVMhH1G+Qn6+RChiknDRUlelL05oF9fRARPlrNsOqWgdxUeBB7VFc0+WANkVItBYllI0J4qWZIqlagAFyyv5fydKYocNdaqLIzyjiRXykaa5zVeS85U9iBGLLM1kM3ArnPtc8jxBomvLBCek2Jv21IB2b1JyXosVj3zXDApr7rfQ71u/p1GyenBdULaWjEpgKRTcX0kEgcaRAX5Ftwq0Lo5WakXTV8/DHQDcbjFG9sshw4QVuvfstxNTFAOgK+9GEYC5XXd9v6CFfrvHpF2bUyr08zQMnNs6ATzCp4oye+xtwXaxCmX3llwj6erALNkvlE2sKo5rtEjRX182azVVwqyVEfhbZLvURcDlTRubmOBDMqD4JpQCp/Eehbmwzgil0chWLQtVm8NC9jZCH5fCeW3SgmTVl1S4tzzY/rcyYu9+svjs1JZgKc7DCsO3ToTfq52zoVubcCBMXMxwbjjeTM8cGIdyDe2oaXcgrr2a7DSCl/IgQYr2SEw1sRhj9CPCQEMLLM8IOVAW/Vxw0sTzXoa4JhlfEybhSmZ/8lXm1ItN9FCs1grUluvJZEKDbZWLpF3AOHifTO8xtyRCEfEgzgli43KhNkgr7GnVxNMdjs8WGmlmZhaYm1aWL0LMfPdZPPJaC0iXlFB25k2yxxvhMkV2RksoYUF9l6Yaaq5HcOqpU/0uLJXIViyNDy9lOR4YSHBlCvYhLpQYtup6Lq3WijIdM3nygj/OVELcNR4kEDPAIgoWqzcxcnp3dEcan54kZFj1918ikK6XpdWdxwn2ETKH8Pq30ZG+ymc3XmNaGCe08pjJS6L6mFmCGYPh2pXEOn1geEOv9f3HyMpcv2+zZuaNZSl7T1Me7/7mqTtZ/mN7yMwjprJ0Bvd40r22VYD9aUvVpnSjz0nSOqu1yfqFIPGQuD0r22tTa726oB93wg9DwGxoHukLMLEDVkYQGjtHKBaq3y3JWtK++mh5W9YzSC0UWizUijtLyTs0V8M8XOdgtMPH8hjtThP0qQHcjwZKt2JRqNmG/iSvXSZ/TitROcGyKky9yObCHAb2EL9LNXGQ/4cocifDaDvmHz6n8gHfsTC0jWSgTlupD/fKT+OxB8C/PJG45LpHSDFZ1Fn38y2ijd5Hb+Q4qFx7Bv/trsE8+iRAahYrNfK7KoK8NO5HmdQj3LGeN1kpKK1I7Nbc7lrIWaLrSkNLn1ZhM7YLM+LJTVywLy3FxEFRqLhkvpKQ/FiBWT/6anSA+/Rh6IskGfLBtASHE17d81VApgTZl091QGEkpPyWE2EszSu1lKeUV1iPYHli5QvUb2qpecpWyg+VL4Dd19sUtDKeLvbfsJ7z4FMWajZA2hl1AelTcUs0mFfYh0xdIzT1FIf52JtIl7tjR6uBtcXjWB7jQlk28ld7jZEo1urv2Y4bijd1dzYesU7M9s95iyYHg8kVZoWp7BQSXY6FQpXb6cwyGveNXxOisNEctlS0iqUGCyShQbGwv1xzGF0qMdYVZmDqP37kM4fvWWFFuEqEUcb2GYU+BSKoVrC+iVpe+sPp078OdUUO1VC4R90fUKrW+UrWrXgbliFqB+iKwxzOH1FfOxTlCssxkurcpjDLjasWbUilacmWLyaKgZ+A49pxoaCBrwacpEkI6MoCvS02GYb/Brp4w5+eLitFluxwfTig/Yr1gbl0YtZzfDaYoaHGW0rN0V22Cmvqt6khCKwrQ7eqJUKzajaq0DaxI3JkK+QiYgvlMhTFDEg4Fmeq7j0OJpmEjEjAYiAfXFSrpYo1MsYav+yDnYxCvTjFohNbWpFakqyLSjRQCvTCDf2iAPcEYA26JcHeKUNfKrAYKVdtpsqqL1nJhhFTBxkhMWUF3KquOd4oZwuOfYcap0TPzItXQKJ84mcaeFehmnq7wAYLJOKFL5zHLi8ippxE9B5p07MbF6vbXmlo4NphzcvU+oHxDmqn6YPpZtVDKTkLf0VV+tonFEsWSRaL8OFrsNvC8ufGQSRwTspPIuZdxJdjJnZDcvtTuFnxNy982il/wdZs5cENhJIQIAT8KjEkpv1sIsVcIsV9K+U9X09KthGD5eEiGfcxkK8sSqEokAZ9GrHsAEXkrrhumbPUTinfDoqKmmjoMJYKI/DShnORldjHsTEH6LIBSqb1z+QyNZNhHVzAINSA33cxHJ7Rl7KdcxeXFyznu2jWMWfHU/fgBSpEx3Ig3EMPdEExRyubQdUFX2Mcj5xZVe8Sq8Q7AM5eW6MrkGQhF8JqG3WLiWTnnJkImlyIjhAd6YebZxvZK10EoexVw631ZnL82YRRMMh46TJdZo7+1DMWuNzb3CcRhdpZQ/gJmeQaG96m8YK6tnNGtphrXVia7ui/OM2vaDiDc5YuPwpyawA01qYrCDMmFFwjveRu7NJeFgkoJtdZEbWiqnEEyqYOvAKhV/spyJStzIdYnstZ+T2fz/PML05iyRtfiAnp1Cdn/RrpDMZL1dkaV37An6l+e3aOOekXRS49BuJt4126+7vgwjz6XY4cI4/f7oMIyhuAqE+IKZEsWv/m5MwQMneFUkKNjfUj6eOBgX/t+KWfg6b9QWmo4pTQjM0x18G6yRYOho/dz4enPE4wm6Ik4Kn6nTdaDitUcn86K9rmShp8uEfSRMn0UPXP7bK5CsWpTys5iCotCsA/XyZBfmkWvLOH3m1SsAmlfL3tkDaO0iG6VcZ//e/Tbv3O1MKqPmNwUzL8Me9/madP1BaW+vFqt66ixV0qr0I3YIJz9rDpPdDmbrmCmyKWOE08/0yDPaEJQtR0qNZeYVW4W+oz0qP7c5pBSXnWs6GbMdH8MPEmzTsUkKiPrK04YrSyxIFr8wkYtq1hRJYPeWBe90X7gHchsBftytmEa8Rs69wwlYdZPtpIhUCpTiu1qDM6I38A11erUlYr5c/tYErIlmEFlFKhHcTd8BEA1j3nhK/isETQroISWXUbEBdXwIG440bwRw4/UTWIBA0PXKFZtao67/sQiXVwJunfHrf6QdsXVdM2bROsTV2o3thiCckElm61P7JtIC7Nu2iHA0sPMuGH665NSfhbyU9B/i8dE8gqPubbHptOUaXPhtJoc6rbXviOKJFArqpideomO5A5qMy8vIxp4N64mz/ysYkPZVQynSnlpga+cK1PT/Cqp6t4QcZlbVUTQtm1KFYtAZhLDPoN28J1kioodWO9jIeCpSxmCps7BviOweKZxvCsliZBJXyxAYfJprPHTsPsNTEZvJWAFOTIQIhEOKPq/azeEUbZkoWlQtV3iQbNJyBm8Vf2/eA58IVxX8tJUju6wj9yCRSVTwpw7izZ8rEEzPjIUX7eERLpUQyJJRXwEi5e4YzjK8O7DqwvK1VFKK6KA4VNjo5iGeADXF6EqU2jBOBoSO9wH/uya46diNRcYK82lUkqk0OhNKj/dwf4IdKXIFGv85ufOEvEb2EXYr/kxajlkAKKJXvIBiS87h1/TORgpkKxkkYafSqQbKrNQSa9uiBlSMYGFefXu1hPQNvLK3bKc4l5KK0092q/Gab22VHIX9C5PgVR2dULxFHuMCBnvfAKYzVY5PZvnjV0uhhAcHIgifDU1rq+iTPvNhMcp+AGUO6chXzYTCrQZYbRbSvktXllZpJRlsZlqS9sQo6kQhreCqtkuk2kvbqCc4db0xzFxCJx+qVko7vJTpMw4d+wYXVYHKWdraBWbSChEImSRBpAOhqaxpzdCNuLjUkbReS3HxXJc7IpDxJVoUioHvC+i1HlNVd/EtZC2MrEZ00+DLCuNQHiTcLUAEb+qkVIrkkkcoVS0yFXqKypwl5OulkHlkW4SAuq0YL+prZqMSjWHyOwTlH0pgjvuUiYGpwYz84AKFhaev2ojYbSyPMcq+nA74VkrKDJCMKlW2EsXiQRO4OY0tUpeNvxkUzPyR1R77DKk04rMYAaRPQcon57yTKty+bGgBF+0D+k4CAGF8SeoZrvpHtpLPjtP7blPQthUz6lFeytLg+dqwxjFHCmnwD7XXUa3th3FcqzXviIxssxEWhcEEb9BJuNDCI3Fkk3QF6Hbb7BLXiLijq6KqXryUpqwzyBfsbl9LNkgyzSg6eA6DYKDHu7iXy6MIc8XGc1coLBvjKgnjFIrj12BVMiHLjTm81VG9CUCpTy1ly/jG75FlbhYiVBKCaLykvKPBqIgNFS+fBeBi0DgUGdEth8/5VpTGK1cLPVE/fj3HqI3fhszT3yEmXKa4127mfco9Lom6OnvJzf0w+QmXiZiLNCdSHJw2KFmhdizu4vhymnwhVnUNHyVWaTQwJ9Y3RBNb4ZUQFPzaTW1NxqdUfR96SgCzcBxmH1exQYlRhqLiTqymQUSMo/wg6kL5Z+lObyldBFCKNbr7DPq+JUVfLcfPoJKA/cxVFHVTWMzwqgmhAjivQ1CiN3AK9Jn1Jqte5kGUUoTL15SKrp0uTQ5wZSd5W5tFp+Zx9frpX1P7SJLhCenakSzBnfE/QRMT6C1xCBommxc48JCkUuLJcDPGww/PsOvzEh1mmi9jHM5gwT1Uui6srbqfgKmxoHAIrGZS5B8pwq8c2oN5/WSR2lVg1YQape923txWmMXIn6DN+zrQdfEKrZSxXIwkJQth6CmqRiLzAX80yfRokpBbnjbNqA/14N+A6ZOzW7j9G43GdW3WWV1fqFz964uHl1syfpQnwSk2+z7uoNY93nHuuC6SNdlpDtMer7AMu+CXHEPro0mBEFTZyFXIucvMMYSYb9Qzyg3tSxdjKv5qISHCBYc9byks6zUeDSgaPqFqo3jOrBwVo0x7/hU2IftuOQrFlGfxr7+GHI0zrC+xESuSmH6LBMlkxHDIaLXn6HEdVXutXzFXh5rdP4hJYCtMlSyVAPKj+UPBnCDKYYSAYJFnaVyrcFgyxRrfPnsAqdm8/zoW/etCvKNh0yODsUpVG1e393N6YlpNKfK8aE15plgUqVqyk8pwT33MiDQ+w6RqOjoKG3RkVoju0c7GLog5NPJlGqrzHT1OlAV26WmRyhYOiencyS9MIaAqUIq+vsGmF0qY0kHEERFESfkI+zTcEoSzR8neeKbSZYW0WaeVouZlbCryhRdz6JQX/gYAcXavPyEKsuS2qnGhm6ouKbclBcw6/nnHEtpV+FuEIK5fIWXz11ghztJ2tB4/T17uXtYmQjr76PrqsXsbGA33dWLBNrlHdx+qEgpf/1qDtyMMPop4FPAiBDiQ6icc++7mottNSqWcooGffpy1T+UomC5lOemiIcHqPmTWOUy+MG2qswuqdIOwa692Lk8rlYk230bZWOOhdyMIhK4Npbt8pw1zHBNMYBCPp25XFNuy7p6X8mplVYrO8d1lUNb1xD1LAGGD7+hM9SdgNnLSjtxLbArRLKnyET2LhOqY11hxrraq/GV0ABO327MWD2wTuAzFIXUdeUyv0ZfLMAiqNVsfqYRZzEQC9C/R71cx48dg/HchppRKuTDdiUvTuXY2RVe7fT2ji/GWupvNYSE6wkj1ba7d3fD/KLnqBfNfWNe6fOJx1Tsh9CUme7Lvw4nvgtt6mkGB47RVz4H2kngvhWtVNfb0+UHXxe1WpVjg1EiQykO+SH0zEfByqxKKYNjo3s1hOoML0eqarH3DIA/5IOuJE+Mp1VQ7OIZ9Rl7PQRizOUqVCyX07N5btEqBEyDcEgnPn+KC/k4X5yc55I/yeFYmXtHg0RomqwCpo5Ry+IszIM5pBLgWmUoLcH4lwEBi7MY0fsZ7ElxKFKgqPnpDvtIBJqv/e88dI4/+NJ5XAn37+9VJuUVqAeHR3waUhhAdYNFiGzUX8IrRdI1tIsuAKusDAGwpjDKliy+cHpe5WRzJHetiJ8r1xzOn3mRQmaO6K67qCyVmclVGE4GOTGWpCviI+rXCM4+we5UL8GeByDow6hkcADbdnhuIk0v3Qz1JSGchKVx2rLVakWYeV4JHmgufMygKgWfnaChtYZSSjuyiqquVny0UTyP0oIqx+LFmOVKFr0Rk4RtcirvZ74iSHiXbPgcdT+2meDlSpI73IsEXhkGqV8TQvwU8GlalBYp5VMbHbgZYfQkKgvD3ain9UOwZmjAtsZL0zlsR3LnzlRjEu+O+iGY4HzoOIaZxbfva3GqAQQlAGzH4eRUjiODMYJGHvPio5jOXqxAimJN0X9Hu0IQ6MYmwNJSkmFNbxTEq69czWoa1y2CjCub+uJZJYxqRfW3L0IiZHLrYBdmPqfIDqay+1dcHb/rojvVxstwvFvy+YrSvrqjflVTaQ3s648jBu7Enww2JvFsyeJiushcrsqRoTj98WZAXV/Mz6L0CkN7GcUBrySy9+L5o+rF2uAFiYdMdvVECPsMjo8kVvuMhI4cuJWq0+KQb6VlSwlC4/HxNCOmTj+oyHe7snzfVlKI7oPHfg/mT4JTI9dzK/OXLrHroz+A0HT4tr9SZTvG7lETd30+rEfgpycImTDiLxKb/rJK4ZMYUyaSVmd7JUNy4XFqYS/3musgS0v0TnwSrRICQ9Xw0TSBa7dMuo6F60qem8w2TGzFqgVCUHEkhi7QpY2maYQCPhxZJl+xlDDyxm3QzpM4/08UfILSTJTQLR6jtppVq/ZoL3bRwaxm6NF8fFVylumunfSFu4h6wihbsviDL53n8GCcs3MF/u7JibbCqPW5yFaNdDMI9yptoZpv+EjjqT7sWAxC4bbjJ12qUarZDMSDpEs18hV7WX2wS+kS+WwGXy3bCJ1wXUUWumUkwdm5AtVqDUcuMjzUD94CaLg7ybmlGZWRXUqEEOQrFlNLFcZ2vGmZKb55zyrQd7HiJ5E4RKw+zly3RVvynm0wqVJQBZKKXh9MqkWSXVWxX9VmcoKeaIB4QKeYkVyOHCVr9PDEeJoTO1KN/Il2fBQ7NIB+fhpNU9rdKwBHUQmy30zTTCe97+tiM8LoY8A7pJQfBxBCHEQRGI6se9Q2hC4EtQatVm0bTqrBle57HbpTYcifILuUYzFXoRizMQ3VRbZVhtknkRJMK0skewrn0F0sDgywLxFE+KO4Zhl97jKuG+HyUpl40GxEyet2CdeQKpllZrxpZnIs8nOXWAqNkQj2EwuFoaCrwdu1m3LV5vFLRW5xbZJ2renMr+f8EoLjIwkAprNlJjNlbh9NLtN0Rru8WI465Ta5k2zZamhtcoWnyXIkAokrvbQ7HjLFGotzefYMpLgweRmfcBkaWqOUQwv8hkZfLNA+z5umEQuZmBPPQK1PJYJslGFXwkgKoTKfE8DqfyMjkRDkZuChn1cZqu/4bqh4QnPuJRVEPH8SooPIh3+dF3a8n1D6JVwEtdhOgn/17fCDTyuNqsUfM+504+pdDOuXMWo5wi98CGpzXrT9kdWsr7r/LdhDIT4Mhp+gvUTZLnChlMRfXWLx5FmSo4dwLBcaSQJkYzFkej7MUnCQkl3hYDJCrGpy+0iUz89pZEoOieG9hHYqCnR93Nby82RnzjMTGSFTSnNwZFqtEINJtciRLqGAxujwMKZmYwm4mK6QXbS5fUhNui9OZ3ElfN3xQV6eyfOxZ6f5ya8+tCw9VN1fs6snjKwYuLofrLwq+Ljhkwe6lcY79fSnmKr4OXHPm+g7/MZ1D0mFfEwvVVgsWEQCOtaKTBMNX6UQ+KafIOhGKUd3YHq1vJ6dWKJYLlMNuuilAjL7GIH+/RimgRQatvAhUMKobDlMpEuE/TrDydUxT7lyjYfPznMx2E801cuD5pIis7iOKi3eCldlmyC1szlWjIAqrBkbqncooKwztw3HyfliOJEkuiYaYRmxgMmx4ThBUye7NENy/itofZENF37bBO8GdkkpV8eYbIDNCKOfQ6UAeicq1uhPgW+/0gttB7RSnzVNmR8qloPrSlzdj2OEWCrV+MLpeWQ+RyKd5vjeUZDgOl7uMSTCtdEdzyeBRq5iETJQKXMWHsftfwsvpyUHBqJYjsRvKnOEurZYFg8yX7L5/JNnIF6mktzHiYDFoeRYQwOqxxnhAk5VlRkvLzG+UESE7GVmuqrlki1Zq0gM8+k0tTMP0dPdg88uQGIMqyX615Usiw15acrFDQ1gB5Mgmr6wfNVmJltiz0CKwtRpItYihGVLBdHVcF1J1aPp5ivW6t9ti7C9xEDSUCZIUBNYNQdGEEIpZKhHlVyUkqVclpG4T9Hop59Vn9OfhPv/m0rVf/JjuJmLOPEdlL/944Q++CbuvvAbIOFC/E7OHvwh3vbwt8LFL6uaR5E+pfUAi8UqUsLwwG24Cy8gagXlNC7MQXlxVdtDpsaunjDZ3m6kT1Vp7eoZIKRlmJ7LUYsNY/lT7OwOg6VDzjvQYzZC0z9Q8nVTC1qkIkpDjfg0jg4nqNpR3nLLGHFPgzJ1wbGROEvpKl1GhYg8xzR7ScuIEkaBuPLVlNIEQylGgklIXyBg6BRLDjPBW9kTVCXXX5pSDRrrCnN0KM7fPTnJPzx9mW+/a2z52MCjgA+dIJebIVi4hBtIrC2MfOFVed5c2Yyvc121/NHrsRbacl+ISuLbhUSFUhRragFWZ2VmS5ZHyNEIU2HJUdp2zXHJ5Gs8O7mEXasyYC4RrSySsOfZ07OTbKmKkC4+qmR67qInkcIUgqcvZfieP3uCv/i2Xdx97OCytmRKNeZzVWyfS6AwQe2ZZyEaaJrZfZEWTV69K7mqy9xcgR6jTHzyCRWfVJiF1I7GvkulGhfTRXaG/Axnn8TUhxA+tbALeJn/WTiLPvUiACK1qz1hZPvhWSABzF3pgZsJev24V7H1X1DmuXdJKc9scNi2hCZEY6UXDZgMxAO8PJ2nNxogNfcIjhEiHbsPn6HR0xOjXIqRjh2CrDLXgUrAGPYJRgIhrMIskaUcL3KQntA5RF5NWIamqOJaep6dkRRaKInpj+AvaE1qr7fKWcqkGSk8RyiQYW7yHC/6vppDJ0aV6c4MghZStuPQkBIY8WGcWhme/RvedOZ91L7vcb54pszunsiy+Ba9RaN5YSJDMl8l0SVQU5rEbonel6UMnPmkl0QySCB6P3bvbgZGk4q9BxCIU+reg5DqxRd1fSo3va4wqjO6DF1QshykZx6pw60Vmbl4Gj0RJNSaiHLotuY+jgvM46vME146Bf69Ks8XwIP/Dz7+o/DlX4P5l3F1PxeM3Tw68r2ICw5vfvCD2J/+SZKFM5zpejNOzwFF1518XDmXA/FGuv/wzONIXwhz7F4OHjxC+PHPqYlE05u1gVpgamAGTGJxE+wlsBXzyhk8QWVmlvTI29HaBkm6LZqRmojtch7NhrLtUi5YTBYdkvveTmKuQNTJQKYMyR0YukZvNIBfH+CF7tsp2HkmB9/OoWQPGP1qcsxNq8qu4VFMyyHgkVGevLSEjY4Q8ODRQV6cypEK+4gGDO7cmeL2sST/86MvMZoKcd/e5Rm/ppbKjKZC9CdC5Py7VZG9tWDXQPfcBef/FYIJpFBsOio5xp/7EguRvdwZz6lMBjtX+vDUhNwT9VOs2rhSTd5/9uhF4gGTuXyFO8waEU1p3H4R4mU0ZrIVvnx2gf54gL5gEKYlFRtsF5CSXKFEwNRJOks4Zhhh+LEcl79+YgJXwu8+PLVKGCUDOkIIisU8w6WniUSL0HNUsQWreUjsaAbCekUo/+7MFOesCiciad4W8hMaPgEzLywz0zlSUorswO4Nor3wOaRtgWeJtB2XbNkiWi027FxapJdHp2xuGXaWlw3ZfugDXhZCPM5yn9HVU7uFEL/BcqZwDDgP/IBQk/oPXn17twZCLA80XBmcqNsl4n5Bd8SPLX2kA7eRSqYYL2Qa5QXCPoNjPTHI5pivFQiUpikkDiIdB0MTxIMmQStH78Qn8UdMuqJBtVKN+KCsKYESiDc0o7hWJi0klWqVnsplDLkIpYjnq5EIBIaVx0w/CQEDJp/AiQ4xcvZDaHYFbfYFqtyOK+Uyn/4yeBsahhWpKMiGLhT9uJxWjljNAK0XrZLG8EdUaee6ObFrD9aSH9GgkqsErRv5DurxIgcHYvToZUT6/LJ4HelpaJeXynQ7NSVC0+dVIbOBY1AtIBsPTartS5fg4peU7+jYNyn67BN/BKFu5u78cf5i4TAjWoZALUs1voPSA/+HJ+cqHPFNM+H3qYJvk4/D/ncoB/NSChKjSLuGMEOIUlplKt/xOjWxxgbbFhCsWhblco1AuYAx9zzG6N2ML9ksZSUEe6mZMUJCcGomT7pQ5Z6x1ylnuGY2xlzQ1Dk0GKN4+mm0qsb5+TiR/rtIp2vsi/oJ+XS04hmVOTq5g6rtkK/YxIMmu4f7KNW6OXjbAeWLi3pxRrnLYJV5diJLImRyJCDJV23GuiPsss6RLuZIl7p5cSrLkaE4hwdjCCH4w+88wbf+/qN8z58+ycd+4F729EbQNUF/PMBSyUKbfY4jwRj09gNevE07hJJKm3Rd6lOIiwqURjrodkk993Wo3a6X/FfTFMnm3HyRmWyF7rAf14W8Y7B/MI6mV+gN++gd6GEiXSLiN3BcScGyCJlRkpEI7pLKC1eK7yGUn0bDYa9vgSgGf/CVBRYKNe4ZEDw0XuHMbJ69LUHwsa5+xm5/K10Vh8O1iwSnT8G5OejarbS/vsPNGkPSZTpb4cKiSahLp2jEKVqSUG5KvfM73qCINYPHcVyJ1H0kEwlSA3GmXdFYPpYth0fPLTJol7klZBIbjJFenOV9fzzBN9w2zP9+99H1Xrmtxk9d7YHraUZPrPj+5NVeZLtgMB6kK6yWH3P5CqdnFRNKCJXWJWjqBLqCpGIR0qUa3ZUJoovPcOeOWzFrWVVIN9xDTgZxSzVSXV1YMT8LUiKlg9/nZ2e3jitzCOmwZA5SXZohMD+D0A3CtovPJ1VBLq+6ZTA1SDKZwu9mCSaCFGL9ir1WWYJaGRGMqGDcah4Wz8P4lzE1A2GrwMrS9CkYuN3TNpqU8jqkVKlTANz65CEljivxGzrDST9hQ8B5oXLXhXupmkmMC18k44yS3H1Cmc3sKlp5AuFxV4Ssy7j1qd26pqqrxmSRyrP/QLFaI+z3EbpVVa11W7Qh17GVuKzkmiwkq4SQEA/to5YvE5p9HGS/KpeQGFWT2a3vVc7k3W8mmJ4n5BTwlyfxp7pJpJRQ6KmdJegYypQyfAIe+a1m9dvclBJGro2mm8iF08yXHIIDJ4j6zTW1gJyI8bK9A/9slchcgUMjDjWraYp0XeVxc6XEcqU3Id0LgN+VnNiRJOjT8Rs6sifEc/O2YjcGQhgyTzhzknDXHrWI8fo5V7Z5dmKJO3amyJZtTENrQwrRkNKlajsEzADEhwnuSRA4lcdZWsAf1Ak5Bc7NFfiqfYlGHaBEyMef/Ns7eduvfoEf/Ztn+Pvvex1mo9qxxC0sUqg6BGdPYnbvgZ597R96MNnMbuEtaFypIaTdIA64Em+h0378qHghtWC0XJeBZABNCBU8HfFx6MDd9PdEOPXIP2EUDXYnMpCeJC78vOGWHSyVLVKhHZyfmmF+8iS5Ug1HC1GqOcxk8owxi2MH+dBjlzgyFOPnX1/l7R+u8b8/cZJf+5Zbm32qG+jBOP1igdDMi6D5FKt16A7Fmqs/aE0jaxl8OLubM6UiKaNMXzyJ7/A3QD1g+tzn4e++C77zn3Bjt+Mrz+MrVjB9BiFHJ+ERLXRN8OePXeKxC4v8txOCf39Y8KsPXcRx4D+8YXf7Pt8mqFd7uBqsV0LiT672pNsVrcGBrWYqpCRZpxxLh/MLZfTyPDu5ACjfEloIuvcxI5OcnEwTLgS5s8/nlWGQakDquopVCSXR8jPMTF9kTu9mwSnR29vP64JJeoTrZWBQvgHXn2Dq8PfSU3gJg7xie00+roI9pcQ4+G529Kew//l3wZ1XqzFflDPH/is7X/otrPmzMKAmvfrE1OrnlFKlTgFwG1HzkltGEsoJrQkgArd8M1x6BPa+DXvejyFVrrskKPNCeYnY+KcZOfuP0PdBdOEdu4FmFA2YHB2Ok598mSdOX6Yc6qObNAdHZ4kOJxuakav5cXW/Ekb1c9YKqg8MP3cMpzhd8uOE+6H7gCobMXKX53PQ4cCDcPkpArk5HtCXiA710X2gl5gfsAWR3hhy2vP9Dd+h/FPpc5Dc2dAcTRyEYSKFw8W5NN09IaIJjyrvTThA07/mhqmG+gloZXzFGZj4Cuhqsgh6ZqZ40KRqu0i7omJuYoPgZQ9PhHxIKVkq1QjZDqZuUJYSLXeZYGmW2mKBgjlAQoJmVeDiwzgJZb40hPSY0d44rhXh4iOK+Sc0LNumULGZy1XoifiJJ7t48FiM8skE4WiA809/Akf2sqf8PLOzffT1qYDMvliAn3v3Uf7jh57idx46x3fft4upJRVLZ2k2L84XCJRy7Ak3Y5VW5aLLzzTGmZcyg9DAPmRNCSdNgCPXD3o9Mhgn6NMpLRRxpCQV9nFiLMlAIsD+vhiRgEGhalPUouhli4kv/QVCOvTXJMn97yXZnSRbsviXkws8+lKIC0++xFv2RPg3/VCqWFR0l2cmSywUavzU1xxmR+wcP3aXj59/eJ43/fJD/OP3v15V4K0WGBMLXMwtYvvimL0HYfYlFdgbH4IL/6oWlr0HSZctCo6Pe/dHsWyX28eSxFNJoEe9zw//hrq58S/hHL0Nf3kWubjAXLFGsstgwCMipYs1vjKeJuEX/O/HJX837ufsQpXvuDXRJCNtU9yQekYtJ98L/DxwiPoMCkgpd11Va7cQFctppFBp1R4cx1ZMsWKN7t4KjivQbavRO7O5CiDoS+1Czi/gGgFyXbeQdzPMZivQC0iHnIzxUrmbg2YPoZHDVC9NMZl8AMOXUIGPQW/yLswpgkJsAF0T2P4E1GIq111hQsUnBONglTGqGbSn/5Qed57fjPwA7/+qY5T93RQXXUoTY/hzFwGl3fVGA/RGl9c8caXE0f2UwyM4yZ0Qv6XBVtM1lR1ACDDNoFdDKMKObh8zl7w4o8Kc0kL8UUYufxJmH4Xn/4Z9t3+X0uA2CHqt+4jSRPEXJkiJHKVgP2miajLznL7Z1DHceg2YRkDt8jijfTvHoDQMU56S3r1P7TNwTDnN0xcxEzvYX86hG7ZKT7dwhnhuiviuNyJ7+xg0Q1D06LkLZz1h5ILjsLc3DN0JZHkJzbXQ8lPKaTz1jNK8kmPKd/TiR0C6+EsVgoE70GIpdj79C/B4iT26j/FjP8auo/fAQBAMP2dm82o1nbmgPgPHqYZ6WSzUSIRMnhjP0LOQo6LH0CTomfMEy3nyvgDPTeZ4XY/E//Sfw+lPIf/dk0AEXdepxnZiVjPNvnKtBhU+W6ryxMUMA/EAl2emedueCPH+ncTjAbDzvDiZBnoZ8RUZn7jUEEYA7zw6wNfcMshvfu4sbznY20yV5c+BCIHQVBAvKEHk9QdCg0PvalQuVoJGPb++fo91WZhHCKHG1jrCqDemxvEhr5LtRKZM2G/QFfEjNJg59RiXlhyK8QMkypco5zKq9LgsKcFoBCideZgvnpW8lA2RCOp85MUsJwI6v/zwIiNBi92DWfyGxpsP9MLcZb77hJ8Ttxzl3b/9MJ9+aZZ/d+9OqCwRyp7CNnfiRIcwqzm1KIkNKs08faHxDqRMmwHnMnZtgHRFWx5MfvFhVTYGYOJR+l7/n4n3hbBllYlMleP/8k3w7t+BPQ/wt09M4riS3/raQZ64mOVDJ21iPviBu7d/otRrqWe0mZDePwZ+BxVj/iYUm+7PrqyJ2wOTmTJPjKeBJkX2wEAUicaZUohC1aZcrXoaQ+txJSYWclDJ4pt8GH95FoBcTVJ1NQ70R9C7dmFFByj4+kD3k0qkyJs9zNYChPwa3e4iemHWo3peUn4RVCaEsJun/+JH6S2d5rD9onpBrbIyt1QLdD/7u3zEeR0frt0D/ihhXXJrr6Aa24k/d4H+eKBRomCpVOMnPvI8CwVlgtKEYO9wH/uP3UkykVKpTITg9Gye2VyFL59b4MJ8QeU/A5CSwUQQTZPKuFefWIrzioEGcPJj1IwIv3NpiNzA3ev2+XOTWZ4YT5MMaExHDnNJG2Zy8O0kUiq5qi+cIrb3Hlwj2FJ4tVUYuVQdwaPnF5mzlf+tItW9FhP7mxcKpcD0ozkVEDovZyBdrIJ0KDuSoi0Q/oiaSKL9SuAX51UczEO/AH/3PhXYGIgjNB3dKeObf15NbLUCfOwH4bfvVv3k1CDSj1ZOk5x7mMTMI+h2Ce79UZxAisEzfwaP/yHyF8aQmYvKLNU65zpVSlWHl6ZyjbQ3ju0gvTo2QZ9JzK8oKFJouJV8o+6Sb/LRxnOtJfZQ6D3R7CtQE7w/SoY4rpQMxAP4K3OUJp/3fhdQy3GqECKq2wyFXWo+j4Zczqi8duUMP/nVB/GbGj/zj88xePrP6Z34FOLiw2h2AWjJgVhKq2vHBtX/xXpqcu85xkch1IWs5NT5dZNIaoDh7jiEuhUBYAVcV7JYqKpMILqGoWuNYF8BnJsrMDM7h+YojU2GugiWLtOdfZ6+REiNBddhNlvihdkqr9/Txb+/byeGDv/jyRALZclTiyYffmGJN+7rYXyxyFLXLTBwjFtHkwzEAzwzsdS4h9lcFdufoLr/axXZYvRu9R43ypCrtsUNi/fuqfG1R1LcvSvVTLPluvD4H6j4t0NfB5NPENIhFTQRmk6wcAm9OEfxUz+DbTv81eOXODwQY3BsHw/cdZxfenCYR75Z0BW+ttphWwEp5UfYRIwRbE4YBaWUnwWElPKilPKnN3vy7QbNo3ZLKRvBg4PxIJqmk48fIJc8imOEcCVoLWmVdCR6cQ4uPYKUEl9lkdTMl3CDXSwOvIH+RBi9ezdOoAuzmkHIGmXLoS8W4M6dKb72liGiWkVdc+TOxuq1Dn8tQzU6ijFyB75ASBXd23U/HH4X1ud/gZor+EXn2xnPq5ICaskvqUbH8BWnONIXIBHysVio8t8+/Dx//uglPvzUpLpnTTCSCJAK6mhWQTlQrQqnZ/KcHp9ALJ5DFDyzSt8RCCotTjpeUtFaCU5/Cr78a0ggf+BbYPJxPvX5z/N/PnWKX/vM+sTKiuWga4KYYbFnpJ/uwZ18Vd3hDmi+AOFkPz2ZJxH1SqiGp915wsgVgkLFZmKxyMVP/y7GE3/AUngX/1LcRdY2Yf60mugOv4vcwOuYG3knjhGhVLXAdZjIVHl5Yo7M5Mu8PDGrMl3sfIMysVglZZ489zleKgSZmZsFq0jDA2eV4dM/qQgerq0mlcIcXHgIicAxIyQmPoNlxuC+/0T6/p8nUJiEk/+IsMuMP/sQsaDBQNzfNKl5mRoADE1T+fDie9ATI+zvi9IbDzHWFVYObaGhX/yiovXrfszLShjpbo3w/FPoFY9y3kiTJCAxQmLPHQwngyyVa+jQ8AthVeAfvo/R2ll2x6G092uombFmtu0z/wIvfoReo8yPvXUfj13McSptMxSRSM3AsMtIoTXKrKPpKmHtwhk1pgMJtd304sV69kG0nzMvPc1LTz8MwQTxvfewc7BXJaftbsm84cFyXZ6+tMRCocp8vsrZuUKjWOFgIqjeT6E0sWjmRcKlyyz13I42cJTEiW9W4Q/S5Xdf1AiZGj90IMu3HPTxfbdHcKTg++4d4ZaUjSPh7Uf6mV6qUGzJhXd8JMEzE0rjdFxHZW5BYPni0H8MRu9RQvf8Q8tLAbiqgOZYd5RU2K9iDGtF+Otvh1MfV4SZPQ9ArUBh4llypSqa0OiefgiA8MKzTD/7L8zmqnzTHcP0RgO4VoVU5lkCxisixgghxNe3fL5RCPELbORY9rAZYVQRQmjAGSHE+4UQ70YZpl5xaLLnIOTTSYRMMqUalm2hOVUsfxKpKTt+o2P8MQwNHG9pq3wwNppbw/VWo+lSDbtaQlQLxBefRiunmclWCJg6BwZiDV9VkxTWZKktFqrktDhV4SeXz7NUsVU8QtduuPwUvjOf4Dftd3P3LUdwJYxPz5MtVjg3X6AQHlP+oIwy1V3KlPj0S0pr++xJRfN3XUlm9iITj32EfHoa0ufJ5As8e2ac6jN/i/XCP2K+9Pdq9W8qe/RXLixSiu7ACvbAuc/Ckx+EuZMs7ngnl3d/MwDmy/8IwL8+8ghzp7+yurO9VXY2M89ioUY+nyfiN0hEQssc7rVSHmtpir09Ifz1mKb+I9CzXzn8ew/hRpWJx7j8GGNP/wJTqTt59v4/Ih/oJ13TFNOsnIFgkjnfMGeLJsUdD5ANjoJ0cNEwZBVr5iSz82m1qt/7gNL6Tn5UmbdqBYJPfgBx/iGYeILB839N9PRH4K/fo+j4b/xxuOt74YUPKwHljxKefpS95WdJTn6W6p53gj9M3+H7cY9/By8f/wlcYRDKnKI3GuBAX7hJaZcSWc4QzI8jaktKywn2Ee/qVWPFGxtCN5HSxXjyD2HXm2DnG4jMPMatowl0HHYEyhy0TymT74rEnb3RAO+5c4z79/fxhr3dhBv1gCRIh7HS8+zp9kMgrhZohXkVTlDPtl1K8y13jBLx63wsM8b5dI2fmDzBbPgAxegurJBXh0joihDSf1SxRusU+NRORZl3bJUfUGiNQG3HlWqCd2zFVlyBuhapCUG2XONSuqgEkIaXJUGie1WNDFkjbto4Rpiir4eSFsFxJT/5T2f51EX4jtuS6KVFDGnx7t0aH3xjiQcPxPnONx7mu18/xgMH1VSmLZ5pWAeOjySYSJdZLFSXlVpxXKkyKsSHQTMpVh2mc7VG/FylVuPUTJ7Fko3P0JQw+sR/UYu5N/8kHPvWRshC7tQXGV8sgLTomv0S84Nvphbowf+YSut2544ugosv4J97Ts1bkb5VJSi2Kb6m5fM2IM/1qmcE/DCqUMsPAj+LMtW992paudVopXL3xQII4OlLSxztguTC45RDQ9BzmN5YgIgVA7cbhm5Dmyk2qN1BUycR0BmIR8iUF4mmp3ne2c89PIMWVINFSM8Po4tGctaDA1FChbSKj5Fuw29juxLbF6fn7m/l0sQlymaS24NJ5c/4+I8xrQ3w8fC7+en9YT78NJzJQH/1EYraGHv3HYVH4bnnn2TgjjH+6IsXVGbs4wN8/LlpsiUL0xC8MLlEtFjDrEmiwMWFAkF7iT6/RbpYwilaUO1T9VrYj+tC/86D7O6JUH3qDD6hU3jvZ7lY8KGHk9BzgD2ZR4ibb+XXtV8j/NdL8OOnm6Uxyhl49PcoZ2coL3RzeejtWPo8O30SjJZYIsDKz7Fw+iuE+7sI1qvYgqqM6UFWbWCR3ol/xtH8/MnAT1KdEBzqypLy90LOaZQ0qNkSU9eQEs7M5dkZs7ClQNd1BMIryoaa3IWmBK3QQTrE5x+nNngQpj9Pz9TnlV/DF4Z3/F/o2qVKNJz8GDz6W2o8aQaBi6raZ2TfG9V9uzbiwDvJzwmKsd0E003zZwPlLL4LnyWVKeCTL2CE34CwXWplWCj4yC6WcByDxIH7CH/ln9EKM7y09z9wKAXa2X+hS+RB+pvpa+o1nGJD6v/MONaL/0j4mb8k8g1/gO7XwfIE4fSzAByTpzgbddBtZWpyfTF0TYPslHLMh1IEfTpffWyQv3/S5uXzA1wq6Azs1rh1dJBff2SO739zF0OupWKbov2KvFCvYlwrKaly9jOQ2oWLlzUkN8XiuWd5QT/Eff1VzMw52Pf2ZdkFmqXbRcPEabsurgu5iqUK2gplXRjrihD1CbJpjdlclemZHB99doY/f2Ka7z0K33NXL5deuoB0HObzZfamdIJyjunoKD9wy1jDvC0qORUgCI2MJs9MLHFPUgmjSNAk4jfUPVWWyOdzPHRqntNOP4cSU7wuuRvNtilbDg6qWq/x8kfhmT+H+/4T3P4+RUyKDkJsiL4nfokeTUfb8wC6UyXTcye1xG76T/4xAe17iQUNiukS0qkp3kyoq0kh38a4lnpGm9GMdkgpC1LKSSnld0kpvwFYO8pxG2NVHI733fUmwWDpMnplkT29EfqHxmDkDtB0DF3geEGvkYDB3p4QkYCBsCv4K/NoXuYAn89PMmSiC8j6B5iLHcXxWHvJoKmYdyWV6LNQc7mwUGTJSwGihRKUYzuRgTiMfwl+7w04pQw/WP5u7t43wFighEBy1u7xWHESo3cvAIHsOACPj2c4PpLgG28bwnElD52eU4XIPJOj9CZs23GomQmqlkPIyRGSFcXSq+Zwq4oyrjtVsoUyS5dPU/al+NzZJdLE0XQTbnsve+3T/Ej4nzkkLhJ2ssgXP9zsaM/PkhcRcB12BitodplE2OTg4VuXPZO6uefcYo1y1aNazzzvZXsGiovIWhGkS9elf2ax/16O7RriaK/JW8MXiJNTJAivSGHNcanaLhde/ArnzrzMP08aLJiDaHUmofQqiAYTigDh1GD0bmSoC39lAaM4Cxe+AKndiK//ffjhF5R5xfMn8f7H4fU/DLd+B5Wv+wCFW74L59C7qUoBk0/w4vlxxhdLmFaWQnw/gfTLXF4q89mLFpWdb/Xy6pWhlscxowjpcCBqkVh8mtzMOZ6/nCWXPEKu6xhRv0HhmQ9TkSYfuDwGI8o/lz31BZAu+YpX2dd1lNAcOKaeY+YC+hd+EWPhJO6Tf8KyxLIXFPO2VyxxLDBLf8zgrl0ptEBY+ULig8vKZLz3nh1YruBSQac/LPjo0xP841OX+IuvXOKbfudhfvPLs/zPRx0uLnkLCSOo6khlLiht2yMwSCmU6dt1EE5VbWuMl6avCpr59zRNpfCCpplxLldVWlIwzo6hPiJ+A78Gk7Uov/xCiE88N80HHx7nfXcN8eP3dWP41WLQdl2yySNg+AmIGgfMWfxuublArWdGAY4Ox9E1wTMTS1jRIdK997CrN0Gp5qhF6cRjFBcnyJQt9Nggb3n8u5EP/RyurfrAMEx6oyZ7nv45VUbi/h9XY2f0bpXm68S/pZzcTzm+B/3Fv0NqJnLgGMWuY+jS5v7EPOfmiyzky+zpi7G7O6IYirUS2x1CiD8RQiRavieFEH+0mWM3oxn9N1Quuo22bXt0RXwcGVID7fRs3ivtAH5d5d4KmjpmzNfMYl1cgNkX2Nl/KztGY7C0gOw9RKGQp5peZGA4RLgYYkk6SCAaChDtCpOzXT4514UQkml7igePDuJWJb6qTdgvyCSP8mePjhONzFKqOQwnQpyfLzazE3zlD8AX5td3fYBnnirxnl1dGBHBSPgiZxYq2P3dpBOvZ7oaZNAfJ1i4RLZcYyZX4d493RwaiNMV9vHZk3O86UDvKmp32Kdz//G9jMxewC33My27iPXcSjh7pqEB5l76DNlgir2Fc+R9vXTPfJGC5qCFDlA68m04n/oZ3lv5cywtwKQdZ+iR38d3/D2qo0MpCCUJFy4S8fcwLSPE/Tah4dU1XerCyNV82DXPZFPJKjp5YUYxCmM7GC5P4StNM3fkRwj7DWJaANP1nICu09A0LcelXHNIyQzdqV7mfd3Y6AwYBkKAkM28cAzeqrTB3kNghjAmnkIYPigtkjvwTbgD95IIJZcPIqGpSQXI6n28PHaAnkSY6MO/yMhAP9H/n7v3DrMrq868f/uEe26OlXOVVMpZ6lbnSCeaJsOQHUmDB2ePA06MjY1tPOMA2BgzwJCTwcQGOme1pFaOJalyrpvzCfv7Y9+6VepWd2uMPW6+9Tz3karqnrjDSu96VxHcaC9ChCjG19M5/q9o1QxS6srT6r0SKhnCp3/AsLeIaQzT2tZJa22MMRFixJV4rsf6H/8M+609bMk/xBNiB48v+pGd25G6H/vwV2HDTaRLNcp1l8RqjxLggT9X95fcTvT0t+GOD4Js5GYWzpAOrSVZGmGdfRrLqWCFk1AprbRuDySacO1NiSR3rosSsxfY3WXyW4/VGMvMc9caiwfHbf7qsTQg+OaFST75c93s7k+uMBKsCh3K5Syc9NA0haaTaEppLY4ow9AXhs2vRkrVykEXAk0IjHqOtnqe8w5IGWR9ewTReQOWoXHkqfvpiwo+9IzJaEbyyOwYGzoi/PYrtoKpo1eUgeN5Eg+dmYJHvrLAxtY8eB1IEcHQBcLTIDcGi2cJtgyzrj3Cd4/M0JsIEvVbPHx2gd/6+lGuGEjwN1dIIpZB2O9Dm38cn1tCH7+f9M1/yFK7n0HDR3LpEBSn4fY/Xuk6vPxejQCZvtvAqREduhLh1omEwlQSiu7nutCU6k/mSYTQFSqvklbM376XvB+wTUqZXf5BSpkRQux8ge835YUYGO4CXg50CyFW96eIopB1P3US9BlNEsj6KvJFHY/ockzdc3ng9DxrjAUGvAkATOFBtA1MH2NuC6OLVQLVKHs0E10XCM9RKbqGdZ4r1+ioXqDTV6EkryRdrjNTa6VFr7KOWc5lbObKglBIxaGLNYd0qa7aAggPzj+EN3wHnz1W57ZN7Vy9pkV5ZN0tnEuXKQztxSv7WChWiYUHCedHODanPJrN3VF8psbtm9v5l2em+I3b1zddQU/olGoOwaBGV1gn5iSZdwd40+cy3HB+nE9eXWwWoXqexCgvEbCzjAR3orl1+orPYDhdnMq0cMC9hXca32Op83o+PdrFH899Bv7pFhXX3v4mGLqFUOAZ9nTfRNpsJxn0Ua+XOXPgQdZWj6LtfbfKT6jqR2r+VpxGQXLTdW2glQI+HxvSDyA1k8UuhZ2RQmv0dGoAOrQGS7rj0Rq2KPkMKtLBkhV297TSFrGwFwS68Fau0X+tomnpuxrPH8ca+RHGgb+FcBtjwa346qai9fe8RijMp45rWQeLZ5CaD9ufwqzNqM021ILMz2PYJcKRBBVdUcv4lk6hO/3IuVloH4ZAAr1rG3qtAJtfQ9YL4Ks7CL/g6GSO+JmvsHvhKa7nKRBwavhlzB2FyYKLue29dDzzP+Ho14Bko3WFq7rVTj+jFOz0Aar9L2MydQObn/4dmDmiGrwVZqGSZn/7a7iyOENq4l7kRz9Dee0r8d35QZqZvFVw7VzV5e2bthMq1miJCGKWH1M4vKt7lHV91xEXBfyZU/zdSCu/+uXDPPQrVyFyk413vLLGYp1r0bxekK4KxwihDJ/7/ocKLW57k4LPtwwT7L2GnX2qGLdaWKJ75POwoNNRMjG5nlh0M9KKM5evUTdiPLbgMJrJ8Par+gn6dN66t78ZwtR1DduMYmPgL05gOEUcTGqOgQ9FNHzT+jaYmoQv/bEyNn75EO++YYg/+vZxfuvrR+iPm8wWXTqifg5P5HjVrOQ7b0iwZlM/qUf+SF1n6TQyP4PUQxi6hjz+TcW0sfZ2VTvn1FVus5qHpRE0O4hhl2D9rUzZER6ecLnt+vXkZZCt+iglIZDSY7Jg44sN0la5wH80a3fDg3kFMC+l3NL43R8B7wSWYZK/K6X83gucRhNCJKSUmcbxSS7P6XnBMN00ioWhimJfWP78Kyox9VMndccjXarjuBe3n7Zth2y5zsh8gblcWcWk5Yq+LVZqjBRM7Fg/opbD0/0UEptJ1wXT2apqZw3MlOGxch/+UJjNwTQJvYwuBMmg6o66XGebqk0RcbIsFetYhq5i0ahYeTh9EippzoR2kynbvGZnDx0xP2HLYG1HgvMZG61eoCN9ACEEs4F1hDInOD2rINiv3tFN1G/yjqsHqNoeXz84ieOLUg73k5ERvlXeysNTHvcfOUep5vCpk5K6J/jx+Qr3HhzBeOwj7Cw/gq5Jzi2VEEiCoShrOmJs7O9muC3Eiek8n3ReTrV9J9Htr+Bf5I2cSd6sQhCT++HLb4NH/5p6oJ2wTzAYNxW9zvmHGPzB29B+9AH43GtVQ0GpIM21UBdOolFd/uzaE9eGw19CDN/Gmr5lWh6BXS2oOo/O7U1U1hWDSXb1J7hyqJVNHSHuDJ1mbfZJoppDausdXLNjm0pES6kS0bf8HgQT6A1vR491wav/AaEZCooPqjj23H3qGN1Q4BJfCOoFzFoGL5DE0wwozOD4InihFta0x9iy61o1rjNHWcrmKM9fUGGyxbOU8LNAEs+Kc3B0iTNzRRbKLp989ALrZ7/LNG085m6mrocIrbsRgIPjWaa3/xK5zmvhR7+PHemlqIV54NDphocpVV7Ctam3bGKx40akbsGhL0Buspkv2l8f5JS+HpG5gGdGCJ38Mvz4jwAN0qPwwIdUqNUfV40nl1R9jCYkv3FdC38zfJSd+36d4amvM+/4aY0E+dk97Yyny4zNLalNd/U4CkFPZztd3YoxQwg4NlPkr7/yQ4VmrGRg3z/C/k/Cw3+JqWukwhY+Q6PLLLM2VGchkyM+8xjB0fsoHPgKpSPf5u+++zS/93CJjz1jk/Br3NSr8YY9vaowtJKB8w/hc4r07byVcPsA/qoaT9dxODlToLY6fTl9UDUEzE/CsW/w6p3dHPjAbfzzqzsxpU3YMvjz123lq++5mkwNfvWBGiLeR0v+OG5Y5YqD575LR30cQwPvxL8y13oN3ztb4usHJplcSKvws+4DTaNFKxIP+SCQ4BsXDH7n4Qrv+dxBjnsD9NfOIoSg7oszWw+yRKL5Hv+D5dPAnZf4/f+UUu5ofF5IEQF8BHhcCPE/hBAfBB4H/uJyLv5CDAyHgcNCiC9IKe0GWeoWYGpZ6/20SbZS58hEjr1DSVwp8Zs66zsieHWTo+4AkdoJRFW59brqqw1AuVpnfHGJzoCLNbOfgJ2iFFtLtuJR9gw297ViST9ZL0rFChELW1wxkKRQc9i1WbXZDpYm8OVGoKeLRH6Cva0BWoY76EuEmMpWWCrV2N2fQHtCFXR+I7uGkK/O9cMtZBpe06auKHXXY6nssDsl2O9JvjiV5I9kkez5Z+iKtjSRexs7o1w9lOIr+yd4w3uuJh5Yw599/xS6gI5YgIhXYqHs8IXDea6JZ0gTY+7cITTtBySPfpXsul/kvuN+XmVAtv92YpuuhuJpkJITM3kq/jas9zyAEIKuxx/mT8O/y2fecaVCT333V+HgZ6nkc0RmHlNhm2CKVGYURw9Qu/H3sR79MHztFwi/4f/QH2xjaU5inv0+pA9TEQFy0WHiCwfwU6ccHiFYWqC0/edJhHys74hQzeSJjuwHd1ZBixt5jmXi0bquk5lZpL3wOCVfEDM/h2/ba/nx2Rzv/fwBfvirNzK45ma1QZQWlOfw5i8p/rB6ATHxIF9/eoy5ww5/fWujjk96DXSYAwPXI049QSh3FjpvIt1+Df1tBvNiO60sgeFR97diBFKEn/prbuVjPNn3LnZuXEdHrEah6jCbq5ICPM9jqSr4ytM52u0Jrvad4MP2m3g0eje/8bIhNrX5CBlp9o9l6E6GGbvuL9n29RtJnvgsT04FeFv+n5iYfA+9W29UtWCaSaX3BhyisOYWBSve+jpVvIvgwWIvoeQruSrZTvrGD1F89BMMHv04zB1RyEG3rkJmQhCtl9F3/h5uIw3Qn7QYmlAQ/Dun/h5n8Bau2PtKhko1PvTANI+cyzCwGvSVWgv+OE4lj7DL6L4wRryLr/9omrfln8QxDYw7/hQOfloZM+NPUi0XyTsGyZAPI5Si5oGsZLCNEH8xuZnC2Tp/tHWCH5w1ydUkjid5+9oqHfkjtAdXNcGzy2gosBLAnv4E4/OScdlBOH+2iW48Pp1jzZFv4o90qZzb438L296Irgl2d5p86mab8/ErSARVmP9/7HVIPP0nGPeux1+ZJb3tXSTPf4vw5MNs6doA84chP8Hf5+/hc1881HwV79wMv/fqCAzfjtWoI8Qf43ujajvdP5bhmDHA3vx9GDhUYmspVmwS1cXGGf5jlZGU8mEhxMBPeI7PCiH2o8p/BPBaKeWJyzn2eT0jIcQ/CCE2NxRRDEUN/lngGSHEm3+SG/7PktXQbk+q1g6tEQvDH6YW7CCX2kE1qCzv1cOuC0mwcB45+TQeAn95itTMg9i+KLnO60i1tGG2rsHTA/iqi4h6gZBl0BH1N2HMhlPE1XwwcC26ptEWDzLcFiEWNNE0Fa4zdQ39wkPI1g18/YzLzRva8Js6B8czTGUr3LKhDb+p8Y3jivp/34Ulnq6qGHJ24hgbgjmePH6uWfD6c9cOMJOrcuDCIg+enOHzT40TOP4lbjr8a1hOiS9fCJCvS97RPccX4x/nHdoP+IJzC6d9Wxg4/UleJR7Bk4KvpNfywQeX+Mt9VWayJZ44t8T6lMmJ8yqMuaU7xrGpnKqj0Q2488MQ7SY29RClrutUcWNxHqdtC+c2vY/Krl+E2/8Uzt2Hdvrb+KMp1p36KPF//Rl49K8RT36Uk1MZjAOfhH3/iP+xv6QUGWSp7WpOz+aJB02Go5Jwqk+h7tIXYGkE2/UYmS9QqNoYpoXuFHHsOhP1OKVqneL5fXz8/pPYruSBUw3rvQGFrmpBDvj3knZMEDozZcEnT8C/HpqmLpeRLq7yMC48rBrpeQoYoAnItl6JXP9yWiI+QvEWnmE9D59dZHzwjeQC/STsWfafPs8HH5iHz70WY/FkY07CV5+Z5RcejXDvSIk/6HkGKXTKvTfwW1f6FLw+1svOgRQHxvOKuy7aDVtfT+zUF3lD7tMsyQi9x/8BnvkcjD4CvVcSW38d2wbaVJFlaQEWzsKZH+Am13C2YCI7t8P1vwbRbs5t/VXKt39EQbvbNsN/+bzKb1hRhHTxl+fY1BnFp2tIzSSSO009pDiobjj5R4QnH2QwFaQ7HuDR840i6eSQUmgtwxBMcuTkKcaPPgqRdu7PdzOernCXdZgn3I0c1LfCrX8IV70XnCrlkUc5Mpmj5ngUtQjvOLWXe869mj8r3cM3xwPctxDjG7MtLFU83rUjwNfu8fH6QZuo3yRiLffCWqm7yp9+iNLsiPqdFcU1FMWT1qB3qk4cxj/xCFz5Trjmv8HcsSbQo1Cps1Sq4ffpOA2P+g2lL3GbfpBNE18EIJfaodCZE/vAc3Af/DBlEeCHzi7+6vXb+P4vX8/dm1r41AmYytXAF2LJaKMkLU4v2pycKXDbpnYCps5JhtDcGpvMGda1R8hXbMqThynVnH8Pz8gQQuxf9XnXZR73S0KII0KITwkhEi/0RSHEVcCElPLvpZR/B0wIIfZezkVeKEx3vZTyeOP/PweckVJuBXYDv3U5J3+pyfJQSilJBn0kgoqOvlYuYNSy2FYSWw80vtsIMYTb0E3romZzQnoqNCeVEpnPFamV80jpEk0fQeSnnnNtjZU6o7BPQ9c0smWbC4slJtMVfIbG5PmTyLHHmU3uZalU564tDai4AJBE/CZ3bu7gWyfzjCyU+cGxWdL+Pmyps54xNgVyuMXFJu/eyza2s649zEd+cJyPfV95XDdW72dT9iEKY4f4+GGXn++Z4mXjf01i/inkrp8hffOHeEPu/czKJLfqzzCnt/OVw4t8++g8/3TS5Punc1xYLHF7e4767AmYfoatXRGWSnVmRk+r8IgviHfzH3B6+++QufYPYOM9sPc9OMMvV+0wbAeu+EXo3Yv8/n8nfeoRes9/CRKDLNz8V/jtLJsnv4zhVqi1bkGr5Zhc81Y8BJmSTaHqQLgVL5hQfWLsEpghqrbL6GKZct1F77uSfHInjicx6lk0TWdqIcvBSQU9fuzsAkw8rRTlmltwXJepxQLn5gvkCPPpMxa2p6D3o5lGyFZ6ilxVMyBzgZTIsbE7TlvEz3BPG8K0GLZydFbPU2vkJPM7383ft/0h57xObjGOsib3BBTniB37DNHsceQnbqI++iRrWkN84u27uYGDiK6d/PHNSXZ1q7kohWBXf5JTs3liQROfLshsfBueBzXN4tfif8t3/XcrD2j2KAzeSNBn0BqxEBtervJpz3wWpg/ydf0uNE3wsn5DgQka4Win92p41UfhF3+sCoJf/pdw54eRQidQmkBoOrX2Xbh6kGD+PJnelzG64d0k55/EWziDOHcfb+ma4/HRAsfnqzyTj6o+XHa10ZtLqB5gU4f4+/vPcn1LkV53kn3GHv7Xk1kAci27VJ3fyI8BRVd1YirDUwsmRdfg27MJbh3wYRmCvzsZwtQkVybLbInX0YWCfdfLhYYiWoHMjk7PMTGfZnSxiM/OowubpY7r0RoEuANH/ieuGVbh3q1vUJ78QUUy43oemqZj6kLVGj79ScTp7/F09zt4Z/3XONbzJs65bRxJ3QnVLNXv/Hf0s/fyP+uv4Z6rNtESseiKBfidO1Spwqf2zUEgyfTUGJlCiU8+U8CnwVs7pvnF6wfZsEu10wjNPo1z4TEmTu4jM36C7COfIFe/HPDzC4ojpdyz6vOJyzjm48AaYAcwgwrDvdj3i6t+LjV+96LyQk+3uhrtNuCbAFLK2Ut++6dAVntGAy0h2qN+jkzkKC2MEV96BrOaxqhmGGgJEowmVU6hezdaOIWQLi6CsN8gFTLZ2BnB5+SJLh3i7OmT1M4+qOLfCLTl6nTDalpofckgfVENRh9DSI9MxaFYc3BcD10TXNPmkvrGG/F0H18Rd2AZGjetVz1lBKJp6L1udw/FuuRPDhocmcrzuj29zBsdbBEX2BStqMJdlqGxgndd1c543uNE3se7B2bZpSnGhGumPsVHO77DB9K/i20l4X37EFe9l7evqbFlqJdft9+DRBDq3sTmrigfePkGbE/wFw8vEvUb3NIt0ewyFGbZklTXO3LoKZX4rmSoWwkqkX5CbkYVldYK6IaPJRnn/+ybZN9Ylh+t+0Nq9Tqd33oTojQPqWFCVCj4u2hbfJKl8DDVd/yQ/Gv+D5Nr34KuCUo1hyfPL3Eio/G42InTukmh24LJBqBB9QgyNAGGQb51N+n2a7E3vIp/nQ4jgWvWpHjyQhq7uNBsX16YGyV/7PscPDfDZ58Y5dE5k9v61fI4vdhYCtJV3zcssMuqt5XlIxY06fVXVXsM6YJrE04fw6jn6D3+cWqLYzzNJvZqp7hL20fNSmGWZhk69neImUP8svO/ubbH4vqWAmL+BGORHUxnq8h+lXOikuOm1iKehE89eoED4xk+esTlvfavcGbbb7NtqJv3595CbcfPKcXTdxXlY99laXFObazdu2HmEI5m8ScTW/n129exZXgNVDIY6RG1Jpx6E96v5jFghXCTa4lUJjlZb8WMtbHbvIAmHZzBW5hc+1YcPYB28NPwlXfwC5O/Q7Hu8Irvmrzmnw5yxYd+zOGn7of8NB6C5OkvIT95C/m5Md4YVvmr5MAWHpmC00sOXzleZCq2A0buo1RzEAK+/swMhib4H6/czK9vrfLHt7ZxfX8QRwqujOXYVHgC/4FPEM6fQc9PYXx0J+z/54s8I11oVG2XpWKVgO6xRswgNRMhNBh/itTU/WTWvZFSpcqFnEtt4+tVPVkl01BGgr5kiCH7HNz7uzB0MwNX3MV9cg+/nn097/5xnVd+38cf2D+DvzDGiNeFdtV78aRk34U03z06TcQyeMUgfOnQIh98vMoTcwYnjA187USR2wcNIqbHTevbeNdr7oCuXXgPf4TR6TmEdNlYeILuhYexvv421ULl/6FIKeeklK6U0gP+iRfnmRNSrmTkG8f9xACGrBDiFQ1Y3rXADwCEEAYQeLETN1y6eSHEsef5+01CiJwQ4lDj8weXc8M/iTy7f9FyzFi6DlIIIqVzRCsTrG2LEG0fVFXlqG6TSIkrBdGAj95kEMvQEZ6Dr5bGqC0hCrOEKSsiR9OvwhR9Vzdda1MTfHVE55nJHDPZChKNUs1hsVhXXtg3fhFfZYGxOz7DZ876eNmmdsUWDqo5bOMZrlnTQmtI58Fpg23dMV65Zw2yYzt7zAvc1FJQHs4qcMb1HQ6bgjlCusPb40fxC5uvi9voEYvcnf0CdqiDM9f8lUrK14qIWo6fvbqf3/6FtyBe849E7vg9vvv+6/nFG9awoy9O1fF47c4u/MYKVHxzMItPeBxYsprV+7P+QTJlBwcTuvfAwDV4W9/In5/r428enuKN//gE7/xulp+v/grCrVP1t1FMbiJogtN1BQC17e8gRpFq341IzaBQtdk/lmFkrshDZxZw83PY1WIjv6FjN6rlfYaGyFwgVJkhndpFIbGJuhnlGyMem+MOr9uaoFR3ObyAQpjNHiNTqiGlpCMWYHxWJbp/rfs0upCcWagoBJ1mKs/I8IPuo1R3mCvUqTsexewccuE0T5+fZzZfxaymFTWUW+NgIcaEtQ7Dq7FJG+PJ5KtZ2vLzLHbfyv71v8YO7Ry3Fb5B+fA3AZjueyWlvpsJmDp7BhLEDZsd/llSIZNnxrNELZOnp2rsN3bR1d3Dtf1BXCl4eN3vwO9MQPsW0sUqp2ZUOHe5bcX35dWs60zynvVlVdhq+An74Nq1LUR9ABImnlIlDQCaidG9g0BpknIhh3XhfmIzip+wfe1Oers7meu7G33pDLh1/PUMN4SnuarXz8+uKVCzXT5zUtUZ6dUMoeknEdLlrcZ93JD9JnbHTu7c0oUQ8LnzAUZzHiPRq0iVzyOz41TrLt85PM2egQS9LSGu6/DIFcvcPSDxCY83rDeJOfNw/kH6j/49gyc+hlYvqlYNhk/xDmomQhM4rkem7Sq8SBchUWOzOY3m1eHhv6Dub2Gq71V8+9Akn3n8AvcHblP0S0e/Rjk6TLHrGloDgsR336kaMl73y7QGBLvbBKcX66xri/Dld12Ff/M9/FfnV/nn3g/xhr1DpEIW69sjuFKStg3ed9duYgEfXzgwy4cOB/nt742TCPr441taCfgULRRCwO1/glacoWX8+/SnQkTyZyhbbVizB+CHH/hJt8H/KxFCrM4Avga45H6+Ss4LId4vhDAbn19G9cF7UXkhjfVu4G+BDuBXVnlEtwLfvYxzfxr4e1Se6fnkESnlKy7jXD+5VDIEi4vsaI0SkUUOHjwCoRYgSMTS6OyI4Q9F0RqbmqE1ml2du49AYogN7YpINRMZxijOUklP0D8Uws4LZkYeQjNLpExJKtymKqVb1190+a+ervOHTyktMdwS4+5tcb50/wGqdZf/s/0YXHiYz6V+BaqDpEvHefWOlWZuq+mvilWH2zd3YxiCjqifCwsl+tv20DP1PXjsz9mqmcyv2Qbx7QC4gRQfHDhOwYZoeRyAq1/x83DcgXg/TmozHWvUd9F01SQQh8T8U5xNbKYse6icX2LvQILXDpvMZX28/coexPjZZr7Fn+hiR/Q0++Z1xRgtojw4U8Tyojijs+zdtYtoNM6f3TfH8bkKH3rNVn54fJaAqfP94/APrb/HHalFQoUs4Xgr1YGbGdPjWOF2mD6IP7WD1kgAIQTtUYt17REuLJZYqOpMZwt0RP2ENJ2lfI25fJVy3SFczTMQdpmI91HPVvg/j5xmpqzxm51Hubq6iKCDR6dhT2cBqjnCVg9CCBaKNmPpGnHDpqOrj4Gwy+n5MqSUgqS0qBI9mkmhYnPK18ZQrsrEZJErQhLh1MCn2AZsK0FWRjhX8uP0DiAXNYT0+GptLzuHAywEhvjbh/J8kC+yZ/7r5POdVPwdlGLr6SqMoWsG8fbNqoOsENwynORfjsxzZDLDiQWbV/SrFhE7NpsETJ37Tsxy26Z2sCsX8yte/T7OnXyG/zV1Jx++yo/mVFUBpXTRpaM6h8pV0LJlz6hlHV7HNrQjXyaUOY029jTu7FNoiQFEbpKunj5ODb6KFncOa+eb4Fvv422tI4wOXcW6yhRJ+yxfnOzB8aDtwjdBuswHhnhP+duYVZfs1t+gMyS4pUfyvXN1btlQ5xHjam7g71g/8y0+/1QrpbrLq1OTDMfWkQkGcDybW/Zs4enAvyLdOsVjo/gQeKFWfIVp3JaN6JNPKyRgz241rTUdt1E/t1SyKS6U2NQ5DfV+GH2U7Pq3UMKP7XqEfQaLkQ3UWjZhPfM55N1vwDQtahP7sTIX4PWfUqHd3CTv2GzQ05nkQ/dsJBAKYRp7yO/ayvXr2ilWHZIhH/marRC1IT+x1giP/04H1RPf55fvq3HvlI8/f0UfqZBL1W8QWG5jM3At+f476Jj4Hjdtuxu/naO2/WcQQ9fA2tv+jRvgi4sQ4ovATUCLEGIS1SjvJiHEDpQ9PIrSCy8k70HpjQ80jrkPBQ1/UXkhNN0ZLgHzk1LeC9z7Yif+90Bm/LtJJQOHv4xZzdJiBgBBanoGGeki33EHmuER9lugmxQrVZ48vcAe/wRxXVW3F8tVfjQbxJOSydkSGyJ+El6SbWiIWgFNOshAUiXwawVVd5Q+r6rKB28Aw+LLp2zaQga/ut3lzw7Y/K/7zxEwdQy7wPDhv+AJuZU/nLqCwPwpYgGTG9ettH3e0h1r1k2ky3VMQ9CbDJIp1Vks1oi2XonbsQO2vxn5wIdI3f+b0P1VqJfxjT2C3rGRVmy0809DvI+u3iHwvRWi3YTaNhJqVNuj6XgNNoma45Ep25hBSbHqMJOrsNu8wNfftJnO1iALUxo+nw/wwIpw5VArHz9Uo7j2VtK2RcCbYaA1QjFdYMnXxUzR4zNPjPHKTQkGY4LuRICOqJ99I9PcW15Prec6PvrkIh9fM8QW4xTzvXfRo6s6o2jQYntLnFzZJhnyMVeoIj3J2YyDVcwxnq0zlKrzo5N55gs1JPCqdo+Fos3PfP0pEIJK3eHlqXm2t+vETIednRbfPFfjl3aBgSRq6WzpjuFb18pnn5pkU6xOKT3L+mg3J9OOqnmqlxXMW2iKnFVrxfNbqoOw5kMi0dw6utAIWxqOL8Yxn1L0bQNbcOQG0mWbH8xGeOX5BYruQZ4cbeETqV/hg+U/pj1/jLM9r8Oo57BK53D1FHNWhbjrEgResaWVrx6a43vH5rA9uHs4jPSq+DTJqzeG+eL+SdZ3RPi53QmklBhCWTBFPcrr0u9hx7o4ezobsPbJfeDaOI7DxGKJ9mqVoOFXYUi3rrzASDvT/mF6gOGjf4VVW8T2xVjY/PNMjWfobbXZvnUHWvv7IN6H27aVXdV99La8mv7sIjfOf5Ca80aeGR9m1/h3qA/eylfze3lf5U8ph3qoDLyMePE479kqeOu9ku8em8fxBNdoO7ji3Jf55JnruXEwxMZ4njo66AaeYxNLtMLu13J2dIxW94vI5BBP3/wFRG6K7doI+g9/SzHjJ/oBkIEEjhsklBvBbyxRBMq2g2/uGDhV2jbfRCCW4PwpQbZcpSsRoLzpLVgPf4Ch3NOEO9ew+PSjqiv4wA2q+BTo6u7nvakpAotHIHQ1nieJBCx0TRALmty1pZOxpRKd8QAxS0BmFAJJNF3jPRuqvG+bYNtGi9mlDH5D0N0Saq75U2t+jivH7sV84n8BYHVtViSrof+4NhJSyksB0/75//Ic88Cbln8WQgRQtUsvSpLwE2fEfkK5WghxWAjxfSHE5uf7khDiXcsIEMf5N9TbltNgV3Adm2J2HjutiEWtugql1Op1lioO55YqTKZV91dNKuoShEa2VGG0EkSPtGPUc+QdQTG+gdmczXzdpxhPymnmyy5PeBtVgnvhtIIAS8lEuszhyRzXD0V483rBx2/VuWN9nL97807e2DGDX1b4e/se9g6mqNguL9/asUI/D7SErWYtUjLoo81bIj7zGCYuYcvA8UWwr/tN9G2vx7jrzzCnnoI/74O/3kDL999J38jnsSO9BBePKB6wSIcKbaXWUjWi5BtEj2gGIUOwpTuCpSu72mugLsq2x6bOKJ1RC3QfrdtuY/PGzSp/UlrgylYbVwoOTpVJ+jwSCwdYWlrAkC5JvcbHHhgh5NN5S/sE/toClqFRsV3WRD3O5TV+eKGOIwW/9p0Jpoor1EWNCQBALGhy99YurlvbyjVrW8h7fj47muC9Tya48e8OcGGpxE3rWpFITi3WefsPJZbmcs2aFD1xi9+/Eta0JwlaPt5zbTejBfjGeQ2kJB4w2NEbpzUcYDxbY2hgkELX9QyvXctoukr1zAPKwLAiCiEmdES9gM/OAiC1Rrvr2DBuuJ1wwOL0XIHvTwcxNRhMBSjufBcXdv42jid5/9NJfmN/kroroXMb+9f9KlPJq5ha82YMp4QQioLqxHSebEXN+asGIoQtg0LV4YOv2szw9qux/Sk8I8AHb23jjj744++c5InRfIMGSsm/PHaEbNnm/bcON96lbNYAuY7DufkiufBa8tH1zOar5H0dCupezVNptOmwaovkU9u5sPmXqKU2AJIjEzlFkxRqAzOAPXgziexRnPnT+M/9AIDb9QNceOYB9FoW65r38NXCFo5Yuzi39ddUbRawZ8sGvv8qwaZ2P1evSTE29Gaibppr7Cf5netTrGuPcnKuSrYmkFIyO3aK8tgBxu04kdxp5OBNeCVF7kt3o6XG2R/CyH1gV+jadA2dnd2EKpMYKA9wdLGsauIAeq8iEg6zfbif3X1xrl/byvfFdbjCZPHRf6Y4d4HA7H5K4QG8YMsKD6K/BVfCgbEl9l1YIpA/T4s735y2QUtnsVinarvK85w/CdUsBoL1HWE2tqp2LjN2iDnR0jwuV7a5r9DHoq8H38JRpBVT+ev/YGj3v5cIIXQhxF1CiM8CF4D/cjnHXVZi6T9IDgL9UsqiEOLlKIDE8KW+2EB9fAIgFArJS33nBSWYVFZVeYmZaoy2WBI9O4EeHmTz2kFyVZdj81kitVlkpQ5R0BqcWgiNuF+nWsgwJau0Vc7REUhg08JS1cOnJxm45q2Ydo6Cb4haxQJjVZJRenztwCQCuC25AGacVub4b3s72LKpnfUnF3AzgsDAlXzk7bu5/+Q8N6zyikAxe/sMjYjfJBY0edveHsqTaWZbkixWNLp9fvS6gPwU7HwrBBOKUkh6OLqf1Nnvk/zRPoRmciRxO8H5PGsBhM5kpsx4uswtG9rBDOALRmmPWEzrGlKKZh8ZlY5p0O+IBoGoL6QWSX6a3W2gC9h3bo4b1sRJhXzUoj1sD+eYP/sk3z4ieef1Q8T9Rym7Dtt72vH7dNqCG9j3vRFOzha4c1MrT1zI8JHDJr9ypUEsoGDxcwWbUxML7B1MEguqd/D4yCJfOVHGED52dluM5eHAaIbd/Ql0IfjogTIlW/LH1we58ZrNtIQstFq22ZH0Nn+c7U8u8TcHStza6ZEKJCC1lgMTCpq8rruVWizOellBMslIFra0hJSHlB0HfxRXD+KrZ5RnJAzFfi0MCCT44jMl/vLJ0wDsbAWfDp4vyRWdSf6wkOfekRIhA67ctJZXbOlAnxmG69+CkzHxVWcJ6PoK+hMNEBia4Pfv3sjGzijbeuOML5XJJ7ch462Y6RH+5kaN679p8tFHp/nAlT1g+JFS8vn9c2xuNdjZG4dJsdxHBTQTGe+BOcjIAB9/bJzdtSW0whQ398wSDvhwzQGqgQ6EEMwNvBKp+VQIrFDB0AVn5wpY/g0MJEP4N94BT/0t3Wc/D4sHIJhie/kctfGvI60Y2eAAo/kzPHzdh3jVlduJWRL8G8EXpjsk+cjdPbT3DFGsbGbxb/+aX43vZ03yjZSW1KZdbtuJo2sUZk4zqBeJVk6gu1W8rp20lqcoFcfxDd6i2OenDzY2cIj5IPbVl0HXDjK976dWK6meZBP7IDHISCWI60H7lpvpEIJizeFE1uBs8kYG5h/hwtKbWDe7n7n2GzE9ia/BtLK3y6Agg3zt9DS56gLbnfNcuWGwuW4tQyfg08lVbIiZzf1AE5Jg66BqSyI03FA70+Uk3lSOLd0x0uU6HfEA0+t/lpajf0K1ZQsBof2/KHr9iUQIcQPwFuBuYB8KazAkpbwsUr3/NM9ISpmXUhYb//8eYAqxyjz495RAQsGL27cw33cXxQ1vpBDfQGXwNuKpNoxQHNtKUouvIZ9UoAXRYAVG04lYgpujk1wdz7KtO07My9AyfT+2GaHUeTWx/h341t6I64vjqy6pDa8h6WKNzzwxyt4ug5agjte9h7BlEAso6pve8jGKsXW8eu96QPCaXT2kwtZFt39iJs9EutL8ORow6Yj6iVhqgg+lApi6hud6PHRmgWmjT8FU+6/FWHcb7Pl5xOAN8O5HqGFglGbUiTT94sZvySGqnVewVFQIM48V0sqq7XJ2oUSmVAWnztzoCQ6cnVChSc8lZAq2tPt4cjSPXVxC1zV6e3oIJDv5o6c1TF3jF64fRDcMarU6IcugM+bnxk09zed6b/80P7MzwVPzGhUthN9Qi95Fw15F31Spu3zgW8doiVh89Q1tfPJWnXdc1ctEpoLf0OmI+nlwtMLb1zl0JcLKggcqhQwn5krkCCOE4L/ftYGZosM1X5H84Y+m2VdI8sS5JXyGxpq2MFJK1rWrgtevjUjVMiTSrtoAbH410ggqD0kI6kYEZ+hmesKSYDjBt8ctuuJ+PnSN4E9ua6cn7sdvaui6wds3wq9sdfj1nfDm3V10d7bTsel62lrauHIoyRWDKaL+lfbxbqAF1t+JZ8VIhS3iQR8sncOaUa07PKk8Hb+p887rB3n0XJpMZJh1A90cHM9wKu3xtq3qmfHH1EdKiHahxVSRaHF+At0pU2/fgVHPUcwtqF5SUjK28zex3vw5xNrbWOp/OQTiCCQ+XcMd30f9whPqRvuuobbx9SQW9ytqrFeqNttXeod4xn8Fjx9Sue8tw2voTQYJh0KqNcLsUaq2y/hSiZrjMV90sQduYk3lOF69ytm0QjNu6oqysy+B5tkI3Udq9lE1jU0L14NSzaFYl9C1q8k2AYLqYx9Xhtr4k2iGxeZ9v8naox9RbBV9V1OoOiwVaxyZzClew6APIQRPRO/C7xbpOPsF9MoS2ZZdyjiLdqnrZs5TrLnoSKIBH57nka9dzB6iC8GZ2SK5ikOp5nBuoUC2XGU2V1GUZEJTRofnNvPCyaAPy9A50XYnFV8KrX0TL3Vp5Jj+HHgM2NQg1K5criKCy1BGQohfFkJEhZJ/FkIcFELc/m+/7eZ5O0QDziaEuLJxL0s/6XmfVwJJRLQT1wwjhUG0rY9QOMxMrkI5u4BRz4MZUvUGNDwjhOJa88cJmhqt0QAB3ypnUgo8CbOLi5QLGSSScP7sRd0u/+LH5ylWHd6/W1WBu55LVzyA7cGpmSzuxH6KrTuIB32cnSs0WbwveleIJlxbSsmB8SxLpTqGJtA1ge16imQVD9vxqPviKlRYnKPqQq79Kib3/iGjsh1faRZh+FWRnhVdQRg2PKCFQo1DU2XqLZvRgkk6Ywo4absexZqL7Sp4s1w4TW1pAjl5QBGb1ou8LLnI/ukqhx//PrpTImD5+NTjEzw04fKB2/tpi/jRdBMhHSxTY21bmKQ9RypocM1Qgu0dFq/ZHMOTcDAf4TvTIX6c7cTTV5Rz1Xb59a8e4vxCib9+4w46k1GWMovcOKy8yQdOz/ORH52hI2zw1q4ZhGsjhIK5u/lZSouTzaZn1xhn+eF7tnPHli4+88QYv/uNI3zmiTFetrENn6FmwJrWEG/Y1cmnT8J/+84c0gwpZJ0vQptZZrt2joQo8Rc/PMv/emCMNWIaWZznxEyenb0J7uiHze0BBlJBQj4DNJ2K9GO3bqUnGSTq1xS3XqgFzfQR9ZsYeiNE2WjJsTz2hia4Zm2Kjpgf7DItlsv1oQl8C8dYZsd+y95+YgGTTz58jqhl8KlHRwmb8Mr1jfYDreugfRPLfY10pwxSksyfIOYsMetF8bkVVTwqJVJKPF8Eop3UYgN4Vhw32kshtgHT0DCEhyynYf4kuarLubU/y6kdv8/C3Z+G4TuQUQXE+UR6F588obabzV0x8lWbat1WgBCniuNJhPR4+oLqN1Vs3Qm1HKJeoGSp3knB6gLW997Pxv1/QPjklxg8+XEyLXsoEeDIZIbzC0V+dGKGasduFSZ36iAE7llVt0R5icCprxPOnyOcH1G5n769aELgFeeJz++jWCoQC5rcurGNyKbbWUrsIDGmUuS51C4czwMzAIaf8WwNz5P4DI3pXIXZbImSvRK4yZVt9o+leWYiw5eeHue+k3N88+AUX57uYGR8slGLJgjkz5GafbhpfCyHo28KjuG87VtYW1+pwuHLBLQvTfk60I0Kyd0jhAixAgK+LLmcMN3PSyn/RghxB9CKKoD938APX+ig50FmmABSyn8AXg+8VwjhABXgTavx6f/uojX62UgXagW64wGcWIIHJ/K0pY8SxIceMJGVDB19wxi0KfWYUnxpgn1IoRMLWQQ8P8mQj5NaFXfmKNOTVfSWKF7qSlW70JCnCim+dHCWd90wxBXdeZxyFWPsURCCki2Rs6fR63nszj3sGUjw6NlFijVHWb4XvcsVNJ3rSco1F1d49KeC6JZk39kxrghJfEiEAFfoatOpFZhuu5XC2cfRLZdqycagUXne2OiWO2h6UqIV5jEnj4JYT8/AMAMNap10qYYQgmzLHjriSWhwMAvpIYvzEG6FWoF39JX5p7Nh/v5Mgt9cN8dXnx7jrw4Ibk8u8LbAPFQ6sXwmouzQEfUT9BnMz57id/YG2LtnKyw+ymDcYFdfnE89PkGx5mAZZT7788p6t12Pn/nUPg6OZ/nA3RvZ0hXjO9/4Fgl7hpKzjuG2MN87OoupCf5u5xSJ7AnKxQKzgRagHaFpDR5BqfJ51Sxru4b4mzftIOJl+fzRMq/d2c2fvW6r6qWDgv//xWs20enN8LeHqrx1jeCaNT6oFTCn9oHmI38CRhZaubBY5K2tcDw3iydhW3cUzZ2A7Di11AYMYaILnYrtYVsJrEhVcZXZFahkkcEUZ5dqzE6l2UqdWO9GGK0r4MTMOURykKC1Qk2k6zq6cMF2ldGk+whbBu++rp+/+NEIH/7mPr57dJH/ttMg5FuVgwNo3QCFGbSxRxDeFgxNY3NPkqpR54pUoFFWIGkNmxD28cxEjkhbjG29QRxXcr5gYOoapg4VT4JdpmK7FCtV7OAQc2It/sUpol07setVHshtgYzGPb1VAjP7eNJZx1BcY6igvKVaoAO7HgdUGxC7TSHhRG6CSljhqNx9/4R26HOEjBBG+jCZ7lt4evhXGC4sqJCYaVCVHrmWHfg9BzLnwakRmHmabGoH8aVDmAc+iaf5mNzyXvqOfQwGb0QrC6RjYzhFZrNlNvVBxG8QMEOcXv8+dh/+ACYOQ5t2KiCRXQWnynzWJdG5hi1bk1AIMWgECForazddVmCWRNBHtmoTqTnEogZTbphOK4UmchDtRhPziGft27GgSSxiQsAHZVO15tCeNYYvIZFS/rIQ4ldQ/e7eDPwlEBVCvBH43nIU7IXkcpTRcqDy5cD/llIeXvZoXuTmXpAySEr59yjo9/8bMQJoa2+mdjqDxyKuJxHBJLCI9FykrhP1svhq5+hPbQdtzUWHm3YRvTBNIhGEBteVITwMp0Dd9fDQaAn7cCMBEA7p4CC//PUJBpN+3n/rMOb8QUyfjme7HJ3Kkk04dC8oAspS+66mstEu8WpX/8aVEs/w4/nbFTW/dKmE+8CqAgIhQK9mmu0AXE01EUQ3sT014GY1o2j7k0PN62XKNpWlPG4hixauo1Vz4A9jo7OzN0HZdnmyWEcz/SBVHxgpNLWx+2PQvo1Y8X7e2XmBj4yv4VgpxmJliTtbs/zVjUGELEA5jd61jdGRDG6hRjzoQ0iP7qjJXL6OnqvQFSvzstYcB8clWzvDnFss8zf3neHnrx3iyfNLHBzP8uHXbeW/XNHH2OQUGwqPYSApz9zLy9bejCYEH7kjxZb8OBl5JXJhHrOmuL+E0Br5Ela0e2kBkZ/kHZstbm/JcMPt23n29Ba6j/96ywa+dPYMf3/E45obfZCfphTophzuZWyp1Bgb+K1HbEwD4j7JUNKPtFrxZI5H5oOsabuaQX2RarpIyF7E6t2t6JPyMzBzCPqvZXypAv4W7J41aEE/e4dsLDsP01PUgx3MFDVawhYh6VFxJEulGu0hDTPcBmHVtfQXrhvgc4+d4eNPLdIetXjPNpowfGaPKeXXewW4dUR5ieuHIlRHfPhtP4nSKFqg8fzSoy0SQLZ2cHJJEBModvt6ias7gWCY7KIk73nQoNiaDazjZHqJ9acf5YmFDq7b8Hrmdv42r92/xC2hcXQN8jUHzbzYbC5H+nHz6rq240F0EAJJGH8S1t9JYu5xok//LdnUTk7t/H069Sz3O9vwlecgXVDtXwyBLSAwoEhvKczCufvRnDKzva9Ac+tEsyeod19FcPNd8IrfBl8QUckhl7vrNoAdu/uTjC6W+OfKRo5t+AS9gQrXmKbiPqyq8dacCjLUQnvKxM6U0YomurGypSaDPsJ+HcMApMmCuIqlskfMmScU0xF2CRZOsi4OJxcFz7HFZSM641RUfZtTV/VTL1FpOBP3A/c3uEzvRCmmjwEvmoK5HGV0QAjxQ2AQ+B0hRATwXuSYl55oGkILsHtQR09nOHo6R0urUtbJgE6yLUEwEsMlQLVex7IstSlNHYDSIpvsY1BqwalHqCbWUSiXGFwfwaiGOT6dB82gLeqHeBA0gz9+tMRQ+TCfsz6MtvQDqlqQbK1OTFbJRTdQt1KE5w/g+GIUgv08dUFFKC+ljGBl75QSbCuJ2znAUhVOzyr0H22bwTQQpSqilm+OrLCrCoehm4oGKWQRcnOwVILkEMmQj75kkHuPz2LVcvhmswT6shTOHmfMv555L85ga4i2iIVVmkar2GCokE8T8RZIKE/MF+DnrH08qYUJBILcPhzhDeY8Qtab9UffOpVjIuNxYmkW2/PY6HlIISjbHnUHcG3u6q6QEx28tm2Gh+aDfGh/mlds62JkvohlaLyqUYOVpMCUL8mirZNAcmu35KYtm9nSqcFxi5BdBWGgNeCwQmgIPEXLtMwobVegvIjrhukMa01FNJWt4HmS3mQQNA1/2xreuXuBP314iQMTeXa3JclJP6X5KU4V1Plv75X8cELl8V414KJpIH0BhFMCT4VYSfTTB3TPHge5GTCa9yJWWb7m3GGwW4ik1oBc7mLrcHauSMDUlTKyJVO5OinLwHQbiEhdNXF878Yaf3QwwO++fCOh9R00TRq3rja3aq55XZ+0qQuBz2dBUVKxXcLtAxDpoq75ET17ccoLLBRqRPwmqdIYvuw4xvo7KGtg6Tqu5+JJScGG1kSUgWCYGdujYEOos4WIladm20Qsg6jfQngCd1WWwKmV0FwTT7eou57qwNpzBVx4kET7UbY//VvYsQHG1v0cW7btYrpsYIwu0ZeK4NQEbRuvJ0qJaGsv0XgCEoOKR/D4v+BZUfKJLVi1JaLZE0zGdhMvzatwG8utzJcV8IpCsF0Pv0+nq3cdC8U6RyaztEYtOn2SGCBdF82t0W5BpDPK46Ub6GiJNo+PBU1eub2bdLlOMuij5rocGV1gMDtCoepiZvdBcQJNSpJmJ16o2cRjedWrsIjTaDrp1l7Symi1SClt4NvAtxvw7heVy1FGv4DiJTovpSwLIVKoUN1Pl0gJS+dIBJNUNDXhrPwo0IEuPEJ+CzSdpWKd42fnuTE8ju5rvMNKRrV0TgwwNz3FlCdxfG1sdDwiy3NYGDiuB1Ki10s8fLrKV0JfQ6tV4bG/pXDnP3AiPcdOu6F0NIhPP0y24xqE0HAaRXnaJXTR5q4Yuq7+sIxu04WgYiuYqq+ygMi70L2djiiE02XFEpDox8t6CAQIXdGatMUbk1uAphGyNExDI1upk5RgepJqrYZjSbIlGwIwtlQiV7FJ1SewSi6EBzB1QdhqtBl3a6rNQ6iNcLKDj79mgExdEE92ILT2JoItXfLhd6ZYF6oxWY+QK9uAC2jomqASWwPBOLq4wHUDYXw1eMdG+LtjBk+PZjg5k+eKgWSz5iqSaqe3b5DpdIktPUnOxdqo60Ipx82vxldO078pRrelYu1C07EMgbY6U9r4IWSCLlc2g7l8FXdZGQHUirzl6iE+9nSOjz4wwqd+9gryQ6+gkJ5jpK6ha3P83hWSm9pL7BxIkaLAUSkJl6cQho6/Mos5W4DW6yiUa5SKNSKn7ifUtaHZGHDZe9GcKro9B6bDhOgkIhziKHZvUIAJrCjSL0DkkJ4Dc8eVghm6EYTG7haXr/2XTnauKp5W1xBKCY09rrxnYGI+TcTz2LuunUMHL1C2ayrsF0pxdCzdmJeCQtVhdKmE69aZmczS21OntWctQXGCuVyZvGHT5sySsyFTrmGYfiKWgS9k8aq9G9DcfnqrZwn7TfSKaCA0lay3T5OK9HO4rIqaI34D2jbC2XvZ/OgvodVyzN3+MeTiIiHdoz3qRxeCqYogEuymp72dWDS8csLeK1XL83qZ6po7cPwJMq1X0Be0Kfg3Y9YcUg3DY21bmE4jxUh2hZNyZL6I7XlsDaSpL2Yoi3a+fXiavlSQNsvh5WGHWqAVK3sOyiWcbsUppz9rAYcsnUJNYOiCWGWKl/X5Waz7KFTLgIRYD4XZc2hWQZVNLMvqdtSptYrE9qcE2v1skVJWXvxbl6GMpJSeEGIO2NSgAvrpFCFg6SyLxV5cW1kamnTQNChV68wU6tTLVTK5KlhuA8CAitfXiixUwPDmEG4N24pTiQwwulSiLa/OJYXgxEwefXKRjQ//V95nX8ewPK4W9YlvYV73+xTrgplCBbNynJRcxKrMkVt7G21RP4VqsXGbz51wy8zfoDaFNi1LaOIghTbFCmDYebR8BmKdbGxPwWIavDgEEjglh0pyE+FADN0TMHALzJ2A/LR6PMdDAyo1l9FSnSsDJuu7w4jCQhNK6nkqdLKrMwZ+AwJJ4lvvJO7UYDqrWoQvnYOuHRSqDj9+7AkiosJC1y3cvbWLWEoV1SalTZucw6xnmNG3E/JpSBuk0NCEoBrpg4COlBIpdDwp8RuCV2zr4hsHVcL3v9+5anMNJJAbX40zNYl/yzq2hhIX/c2z4pTLdcKN3Je/bydb+naqv1drCqKsK0uzPxmA+goLwWrWCwDGnyAU6+HnrxviIz86w7GpHMKKUYsGGc2dpy1ioVuC9SmH3u4ewvnz3DrUCueV4jTcEnp5gcXzh3joyacJ+3X8hs6uWD+RSHjVVUFIR3nITpWz8wX6Qy5xQDY8GU0ALcN4Vg07fQwvoNG0ogE0DU9Kolbj5/lTqrwh3KausewVNjqQTpQEqfgu4lYUKTSWZieJDxSICQ1qBSKZY1QCw7hGDE1AvuKQK9chXcJs6eORhXE86TKxOM8eZhlIxEnXTTYPJAiJCugam3vj6pqjY9AYb295c21Zh1gaIWgKWiMWIcsg6BaUgYNA03VO7v0w4dYtyMWHmDvxMLGBHdy9tYd0uYWUGyNanwG7Vyl23VB0XGVl+Jl734VfHyZ4YVy1Gjk/SbpUZ3XP1FAgQGtbF2lPzb/5fJVowOSWbo+8LZiPppjIVogFTWzXo1DIYjkSLRhCmvD0yByR3BkCnZsBf/O8jic5NVNgQ2cEMXOKjJYkqAnWb9yKMV0Cu0wJP9PWMO3PXvvxfhUCdxugppc4tPsnlRdVLkKID6MQEieA5dUqgYf/A+/rP0aEzoWFPF5iDT7OoknJFQNJpnx7OFn06Akq70QXnkoo1ktw5odQL1H0WnBa9yCsAv7yDNVQD5mKh58QwxvWYca6mM9CYvphtHqBXzS+j22EMF/7SfjsPRgP/SmT3stxRYFS3eUe9wwAbbvuwQ4EODdfZLg9TGvEes5tLxZr6EKQCPkI+HS2dcdgGkoNK641bCrvZ+64QnpNH4JgCpZGGFj/KuzURmJBk1zF5scn5tjtr5BoeATZcp2z80XWd0QoFyUbYwN0pyJkiiDlyuR3pVS7oPSUN6FZCuEzdCNMHlChH90iW65TKORJtYQVJ1e53lSmsaDJ9es6KS3aBKOt6Lqgffgu2jWd/RMFpF0FW2uEygVdceWZXrMmxRf3KSqj69ZeHHpuaWsnEGtBBJ8bvrA9j0PjWdqjfrb2PAuJ5I9B/9WqZig3qQqBV2kf0ei0ufILDYpzvGPXVj7xsMFHHxjhfTevRQgYWyrTEfNTsGssVTxK0o/fF6VSrRP0JLrWwEMKwWKxRrnu0JkIUrVdcpUakXBw5RrqP42+TKoNvSc01TW0MR7LoVwhoBrqwW1NQubIquNVDsbvbyjn7Jj6ciOn1MTy+2MQ6UTOGUyUDeZPXEA/dR96ZZ7xH04wuP16pLUVw6kQ8+tUHSjVXI6dT6OlSxw+s4hj1zlcbmVzT4JozabP78cxTPw+nXA0BsEhbN1PrVwhWJ1TTNlWlHWxMJamQWQrWFGmzx/FMm22D8aZzlaoF2ZJhtrg+l9jqe6nktpCxB8j23olYuEp9Dq0tqqaM6bPQHZOeQ8dW1V9UVujhj7agzlwNbukB9UIMtJOzV/Hqq4gXifSZcbTDhuHrmbbclfkhm4PWxrhcIBQIoxlaMxkqgyFyiQyB+kMp2ARaN9CyPBoI01Esy+aZoa2EtHIlG2magX89TLb1rRA6vVQTlNo85Eu+Tg9X2Z9R2R5AjZQj6hOvY158f9nuZw6o1cD66WUL5dS3tP4vPI/+L7+Y0TT0KRHriZZrBlUanUifhMjnFRtD4Ip0m1X4ZkhtTFV82rDDaXACOCYEVxfBN2tkJx7DM8IUu64glDPFnyRJBKIzT7OXHCY/2G/jfKudys03trbsCYeR3g2/oCf9ZVnsEbvV+y8wVb0VWzil5Jz80XG0qvh+hdvSt3xAJomwHM5eH6aab1dWYYLpwmmTxETJfA8PE8SzpzAKEw3Q0PLnljQZ9CSTJJO7CTtBhpG2MqmV665nJwtUqrbUM2zNHqUJ89Mr1SXawYYFtrwLRTNFrJVr9nldrVEtDodcoG4VlL1MaYfdJOI36Q1fxQWz2DGO2lPxlTeANjYGaEtYhEPmmzqil50vmarBCEYmS8wseo9mZoioz0ymSVXtrGzU5x45jHmC9VVc8IAM8ATs4IxN3nRG75oOIQGdoVYZYKfu26Q7x+b5Yv7xnE9j4l0mVTIx0OZFibtMPedr7Df28C+sYJit2hdT188SMRvEvGre81WXISmE7N05T33XQW6ybVrW7h2XRtWg4FDAJ4RguGX4YbaVsZ94mmMeYVEk8iVZHdDNm27gp6eRqM56a0oqkBceUmgikMT/VjVRWLz+6jOnsW0AiS6hpFIyvmlRskAbO2OE/EbFGsOYb+P9qifmF8nMvkw4dIYU9kKuhBEfDpC08jGtyNTwxDvI1OFp89OU506qkAJ8V7aIn5iIZ8KLWYusFB0KFSUB3BhscSsrXJ1lDMslFwulP2E/Qa7ehqUOQ2vjuKCAiosj9ayQdGyVinbnW+lPvUMC6cepe54CN3ENfx42kq0oeZ4VOoux6dziuhYCIUubcJYFb3Pjevb2NAZ4Y6hIP5Iq1IWjX3Cc11m8xXy1WfVGTWUkeNJXE+1n/EkXEiXVTg5tUb1jXLrz0HU4amwP8staX4KPCMhxDohxD8JIX4ohLh/+XM5x15O2O08CpJd+4nu8qUgQqdu25w5c4KeWpaDYz7yiQyV9DQ6ITQ9iObZBIuLEMwrJoNoF7g2sm5jWwl89UJjo1pOFsHkxBieLwz1KsHMKfZFXsG/mC/nA0MNT6LvKsyz9xIRFXae+RgdZeUVTWz/ZUbOLNCdCKBrgnPzRdqjFkHfxcOirHQ1UZeKNc6NptkqXHQNdF1gOw2HVbrYviRSKiseTSNfyMGZhyl038BI2iZSy0DXAPRtA56bo5rLVykaHhs7d6KlNTqifqq2S7ZsU6p7SE9CvYhIn6cqfDAxCnZOkUcKQTgYZnNnhK6ARfvWrotCjKoV9AOQn2bYcXDX38PS2HEWibO+vxtqYdBMujdfQbZcJz3dQjIWAyn4mav7WdMWfk5Mvmq7FKpOozdVjYhl0tvYawtVh/1jGTypIO93tuepLU1Q69+p8lhzx6FrB97AjVSOjSPtChBqvPNnhemWwQWGxftvWct0tsLnnxonX7FxPMmGjihRo8im0BKnvXamsmXqtRoV3SUhNDpjFggL12ewti1MaMPLGKocJWQJZfAYyiO2DA1PqlCRMPxonmiyzCeDPq4bbsGna+BUifpC3BSroE8dUTRFqzyjsPGszXl5viYGINyh5gdAdpyOM5/HqxWIhPooGiZp2ySkGYQiCaTnqTnS2KBjfpNCuIOsP4plCNqCFnvLGaLBC4j+vcxfKGEl4tj+JJ5moldzOK6BFKqHF24dPI983UUAkdwkrubDlQINycNnFqg7Hol4Aja/luLUcb533E9hEexjM9xuPNNYyg0jRzzLnm62OtfhFX8Dm16JPfo04/MZAqLOptYaUhiUOq5oHqJrAt0uEl44ykJkD6m27hVltCr82daIWkRS7djhdhZmp0h64IoAD56apbdQZPz4PHdGOpvzXgiBrismE02Ca/gpRXezVPAx2Li+WZolNXcQkbgVaBhbrq1yXq0blEdbnFd54Je+fBX4B1S7CfdFvnuRXI4yKgOHhBD3sUohSSnf/39zoZeEaDrpYhGjkKWj1c9koJPj4wusKR7BTG5CL3t0j3ye1mQSilXY9ErY8loop8kuamDF6BEBBEGi4SAHhUt0Zh/fPFflb08G+cxNVYR0edTewLqkgUj0KsqcHjXxX9U6S/jsWZzuK6kk1nOh7/UKYo4iQz08kW325FktQqxY6Y4nqdoe+CAVNOlLGpwYKXJ1EpAehlOkFuqEoS0QTDKfc/A8D9nagMyKRs5eV0N/EXpPeiTmn0JLDRJft53rVa0hFxZLZMs2ueR2ZEcSnIza2oRQm7qpN4EAXmaMuLtIZ6KTSPBZ6KByWm0eoRQ+WYfaApm5sywYa5QyEivs0ZOZCnkGuaa1BeYLbOyKKsqiZ0muYnN0MsfVa1JNpqJlSZfrtEZ89CdD5Gs2+aqrwmUStdjrRUWZ5EnCudMEhAEdtwCwtfvZBYaNE+s+DF3jL163DUMTfOlp1e32qqEUxbPHKRUmsMJhSjNHOa8NktCzxAJHMVoGEZqlOgWbOv0dSUL5brDCyjuo5iHey6HJLJl8ievdMj4rglnPIZ04TB1Ei/fjXybKlC6apqnX7jnKu2p4u1JKFo78iGCqi3DPtpVJtCy6qRg6DD8c+gJWaZp0bBOBYIju7VdxrqBhlxYJhQ16QwFCro9j03kCVpwNHZEmZU3SrxEYO4nf1GkNQkYICtU6AV3HV17EW1xEz4/jxa8ANKXU5k9ANcfpWg+6JthVy+OWclQDm9CTvdTTjbyYBsR7WHASxBdmWRe1SJdqnE8X8Zk6GOZzn0s9/cq/viBouqoZk5KqNMGzCRbOkzbC5Mo2saDZ9CeFXeHkVIYrU51KQWmNcW8ovL5kUIWOAya1da/iwulzmJ0JKp5Gy3yaUN3E1vSLQtOgwEaOK9GkRKIIdC+aWQ0D6yLPqNmPSYVoMayfCs8I1cDvsprpPVsuRxn9a+PzUy+51it45MApgoUpHnMCxIZT9FsueraEvzRF2LQQ9gLxxDrFXqz7lCsdSCBKGYQQJEMWuD7QBD5d4JM1jmcN6i4UzjyMFBrfKQ5zx5rkSsy3aycIjcjprwOS0eS1WNe/n/qiii+v9nwuhaZbnUx3PYmr+xGxHmjAtcvxtdBahoVTmE6j02XrOsiNQ1bdt2hU9Us0jOI05Nog1tNURjv64oyny5gTi/iyNixFcKM92Oj0J4MEfTpHJ3MIwwJbqjy40NXysSIQVbQ+sjCjIN/tl+C9DSbBHwXHR8kzyVYthAQhdM7MFfDmS2yI1Dj3xDdZCGwhoNmQq+HJ6CWBHerdNd6LlMr6XPW9ZNBHS9hq0vjHQhZZQEqX5qZVyeBlT6K7FXQ9vuq8z7peol95Uo3wkKYJfumWtczmqzxxbom+YB2j+BjFUp41/iJn9A7CPUmqpbUUaktcKCSIhHvpNAoYpk+FSpfnx8IZRcIa7yVdrGM4ZUQ9B4s5dntnoOcumJujYCSYL1v0JYOY0qPmCWan52nPT+FPDKp7q2RwfTEms1U6AjXCUlX5N1/U/EnFEDJ4A5SWYOEUKW8Rcsep+3cS6Rqmtebn9OGnGF3KkEgFiCY7qZQ1TBQM2i+rxKwCWDHs5QCBp6iDMp3X09kepWPhx4isAZpQ7bqFaIajFYABRCUL408ibYe4XsJauwZdU16ELgS4DkmfR9SvU6o7OK5s1pSIZVaOZ4/T8kLxx5rcdJqm4Wkm2bYryfl05vP7sYtH+K4T5u6tXY05swweUR2crx9e5oe8vnnqZn8xwPPHqEQGkIkYMV0nOVEi6gTJGMZzQtN7BhIYmsbR6tVo9TpWcYa6tcK+3Z8Kkz3/rEdpenhCNTx0aipspz3LE3zpybeFEP8V+Bcudl7Sz3+IkstB032mgRPvk1Ke/olu8z9Z0lWP/lSUtcEE6arH5h6LcnaBjtwhYv4cvqyGbQnq2Sl84RQsJ4CBnX3q/5WihlvIkM0WGFwfIloPca6gYt2x+X3UEkPMzQZZ19O2kii2wiqHs3QWT5icCe9l0DMApYw0AUcmc43/P5/1s5xYlYqyqGOAgusxutgY40inUprHjzbZkNFMlU/QzObm2hbzo2uu2pBiPQQtne29Kh+QFCW0xWfwmSb1zOPs63gL1UgfVw4l8aTEKs+i5ytgqOJaKTSlRKNdirMNiIZDrO9OYUUvUeMWSMBWlbSdKprMF2wGUeepOx5uw6l36nUIQGjxEFhx4p03P2/qdnmDk556N6vDeMu0Kst1HpHyROO7KhZfqjlkFnP487MIT3kayzKTq1CquaxtayDd/PHGBVc2msVinXffMMTvvnwDE6Mn6fYlsCI+YqEQ/nSJiuPi1y0iloGGxJOSVHsPqdoUVGeBgZWxXTXuZi2jIMaxHnz5aairuVGq1rlQKtEdD2BKD7tSoHb6AVxnEka+B/3XQTCBt/5VSDSFCNUNWL+qE4z0GrVVaSjNQ2IQre8avMkzCtARSGA6VR5bDHI6EMB/ssArtm0Dt8RioUa6VCdZX1QeTt/VaEIQ9OkYQk13XddpiwZpa480u+i6Uln/mraijIQQaNU0xPrI6e1Uxs7gLI2ia0MqWiAEFGaIzR3j7o3XkrZ1PE+SP2wwENeJ6DUguBKm69qpnms5HxbpUB9A0/UmZDtTdfAZgvYgHG0AbEI+vVn0SmOcLiWuJ5nLV4n4jaau0JwqMd3jtt2bSJfXkgz6Lg5NQzPsvrEnhSwtcnLsOAuR7eTKHeq7QhUyW9ZqhoVV4dVaYWXs/tMbLbyo/Ezj399c9TsJDL3YgZfDTXcPcIiVTq87hBA/lZ5Sypmni1mQLh1GhcHKCazqApr08CV7wQww6x9gxNqsEq2lueec4/iiw/FqOydrrTx4dgnHk4wWdN7Weo694gSfze0AYF3SgLP3QnZUHTigLKxZ/wAjSzUePDVPqbZcW7SyEV1KGW3sjLKxU8WSl/XbsgUJECiOQ+YCBOK0BDWioUaSt2Udrqb6NC3vAz2tSQxNY5kGX1G6CI5N5Wk3S5imgWdFkdLDtNUmuFCocXwqT9JdQMtPgvQwNY1E2K82/9oyDBcM009Q1NFruUsPQiABhh9dekjPUaE1TUF9K8EuCLerZSgEol6CwgxtZoXhBmHps2X5fblSqnbj+sXvLxY0GWwJqXCMruO3LExdkK/Y7B9Ns388y6GJLJYmscwV2yxdqjObq150Lto2qXnRECkluqbRHglgWwlqZhQ72EEgEGDzUC9X90V4WVuBkGUQKFzAv3BUWe6erd7/5H6YePpigAFgWwlVAJufJlN1WHBDjbGXGPUcWua8YhSRLq7mR4Y71PuXLkgPWV4EIdDEpTbVRh5z4il1D8EkmXwOLdJB95Dy1Eo1F9cM4ou2cn6+yLGpXHP+zBeqK/cqNPTWdazr7yUZNPBch1DmTCMcuzIOLZEA67tSyhtrjK0uBHVfgrIWYnRiHKsyz9Fzo1Rtl3jQpD8VbHoHsZDFYEuIhFYisfAU1uwB9JPfVDlI3VIFrr4QJAdX+NtWKRQjlMQxo0SXDpMUZTQEmXKtCbBpi/rZ1B2nJWyhOjpLjk7m1LPOHYfcVPNcJ6bzLBbrTYVlFKdh4qmL5tmzZT5fZTpbIVgYw8tMMrpUZmS+xHePTpMr22TKNo7rEQ+sUkar2qaTGFj5/0tcpJSDl/i8qCKCywvT/RGq7/mDjYsdEkIMvtABL1WJOmlu7XIolsJEjCAhU+D5gpQdiTY/hTD9ZLUETqgTfAsXbRBjDUZhrZYHHL4z7uNbh0+wsesT/LnucIs9xrzRyb2R/8J71trsDGegwMqk6r0SDvxv5v1D9GqLzNNAb0b9zVYJcOn5tjo84PdpdJhl9LM/RGvbCYBRz0EuC74wnX4HzEYSNNpJIbWNoOYS1TUsU8Pp2oN5/v5mfsH1JOPpMplSHRlPkYzFELUcoGH7Es3vAKzvjGF4dUgMEIr3sVNoMBZXNUtmEFqGKdga1UKNlswFRGDnpQdiaQSzbICXRAgwdENFI6wURKJIeRbdLhJbOIC0LaWwNr8GEUw851SrW8lfu/YS3tgqEYl+Nlzfr8ZzIktWi+I1SudSYZOQtWocVpHTLt8z9WKzYRsoc285wuP4Ysz23ElM5qEnTmjpLKGYDhWlpE27gHA8FqdHyE3O0N/TjaGrHAbVLBRm1OaKOpe27jVQSTMyL/DVA7QCVLN0jD2CXomAaSF7bkDqh3B9MeWZmhYIDdefXPGMXBsWTqmi7eCKIgUUsm7zq5k9N0pRj9HaaLKYDPoIiwrFhSXCDvRmRimauwBDve9mPZOhUGuGBdUsfs8jUJ8mm2ljcjrPUEwQ9BnEAj5ixirAQaPOyPZFWei7i+nKCP3JfhwnQMDQaI/6m9D25jGAXk0jpEemrqPbDr5yWqHRPBtqRTUQeiO/MnccirOw9mWIxACFkEvL4j6E28eegSSFmsOuzSsAm454iEyyE69o4brKA4oGGlRNCIh1o2sCy9Qo1x1iARNDXxV6XBxR1+y7GiJtF73m6VyVmu1ils5TyOdJBE129ieZrSnPzCcCTOp9tGu+lQ1ZMyC5RoXAiwuN+ZGD0LPG8CUmDRqg9wINy4MHgX9sMDK8oFyOMnKklLlnxdCfB4T8EhdNI+wThIfvgsXTkB1n4+ZdnPVHmK9WaGvvxj31MJp0nwOVzVVsSjWXcGkWMz/O+YUOdFwG0w8zrHtQhZO3fpo/GLiS7eUnwWwsvmVlZEVxWzdTbb2SqM+g4je4cV3bRTU4uiaa7AKrZbFYw5OStohfffQYTMhGwlMQ9RvgVWDuGNIXQlox5fLaFTZ3RcEfI+gzqDkeD59Z4FbdbSoj2/WYbxTuVo0oo8k72OCNoFt+bKGsTLNRNOpKMKRHg19I3Vzf1aqRWWPDSNcFmWyF1s4XmCJmAM0tUvcl6N56D91C58xCCelUoVJASmgxSrQMbIFkD7MzE0ydHOGK3Vc851QhS2dXf6LZfPByJZ7qZCK4hcLiFJukQ6h9GOIrfaSeg6YrzEFxBtq2NDcEqVJnzb3ZNmM4wRYIaUqxrDJmVF5QULMlhapDE0lSzsHUfgVg8Fw0/Rpman7yJImlEni5JbXYDD+iUCCUP4eIDYGRQsdlvvcuUjGbWPy1qhlkMImnRaiEe5GRhAI35CZVmDGYvNjaERoEEpTCklzZZi5fVcZR0OTlAwJnfpqZwDrC+hJawGSxJhvIusZzeQ7YVfZnArREkqyNabAEufwkTqWE19IBnespOoDrEC6OKc8y2EJfOIjXyPHN6hVKC7O0RhRwJFexyVdtos06r8Y9B1soRQYRuCQR6nmkVM+nmYrfL7lG5UtZWb+5sk26WEUv1/jxuQK3dSboiHjQWHsLhRqHJ7Ls6NvF9lVr8NloOlCG2fn5Ij3xIDetb4OlAmSKcPxflFFWmleh6MCK4WRogrInmUxXiGguhiaYLtnopo9k0EehJqhE+rmQddm4TJxj+NRzVDJw4lsN+iZgy2suOvdLUD6OQl9/rPHz2xu/+8UXO/ByVvAxIcRbAF0IMQy8H3j833ij/7kidLVgtQZCRXr4LQtifdT8NgSDpNuvJRwMgLN40WaiCcH5hSInR8q8rQdGF/J0kMbA48Pe2/mN97yTiWw7xvwMJdMmpDX4rpYXlC+I/rp/ZLOtUZobYc+mbqIBA9tV9TiaEM02Ds+WiXQZ21XK6KLHaayRtogPRXwOR+ud1ESKKwCWzhHMTUD/tUAUT0oi+TMQ95pQ5dV7k8/QSIfXMm2101c9DY76o9kIfR2ZyrOr3UAvLlBIz3K41snWdj8xaCq3WrBD5Vh9q6hZni1mAN1ZQJd5ZKaICKUIW3663DnILhBo7cUX7ybgnIbyIlIKHOvSFqGhayRDPlxPcmgiS1fc/5z31JRKhuPHDxPp3UZfe5Ib1rVy2iiTqqU4nA9wZWeK5YzQagQjlQyc+/FK3ceW1zY2BAUZX36FbVFLXTvgV0Sk1UaosmsXbfooolagsJwo13Q1HytZCLRC22bKuQXylVnsQB/fPTrN3Vu7lBITAtbcTHViEgOBVpiB8iKifReOrwsnEYX4Cv1X0JPs2bZVjZvbYGJZnsv+mPJi7XLzd05j3q02Nzd1JXCNGPmiQCAYaglzPlto5B7FynuZP0GtNkTF3wmlDIw/iWG14y9K7NhVEO3idANef0XtjKK2CaVYjSe7YjDJUi3ANYNJDMvgmfEslqkTlRd7RtFEC9W9b2JkdIze9WvUGNRLymOdfqbB27ZqDTUmd2H8MK3pYySCFosIcq5BOLCytufyFebyVcaXSuzqT6raueXDlwEgNFpCjKYpVh0KNUexi4AKU3uOqkeUUoUpVykMTSgQhydVlGPPQJKF1lYSsTixoEmxVlekq+4q4INseLXFRZWnDKXUsz3r3C9BuUJKuX3Vz/cLIQ5fzoGXo4z+G/B7KGTEF1CtIz74f32LLwXRGspo7riigQfmpsfIzuYwEj1omsDTrSbU8tkW0ccfOsdkpsJ6v07BFry8tQIFKEWHGDMGeercBF31MXQzza6US0RoK8qosbAilkYkGqCgwX0nVYviLd0xarZLue4qa/FZkLrVbABn5wqklzLs1UEHDF3gOK6CV0sXDW9Fqek+lkp1zOnT1Nu2Mb5UJl4rqJqgpArjrs5R+Q1VJPp0xiMxtAWZNkiEzKZnpBgAJFQyiOwYVaMNMfGEmkUN5eY4HqZTVoV64dZLLxwjQKtRJJW/l9xTi1R9LXRd9zbojMPSAoObr6Zsu0xqd9BulMilfEgvdMkhdT3JQqFGwNRZLNRIhV6ASNKp4eZmsNvXQW6K5NxhkomtVPUOdLuI7lbACDXfS3MYymkwQysklY0NYWdvovFeJDv74oT9BpaxOu6/jIjSSAYM0C1yywXLrcPKoveFVKK/kqFkS2pWgp5EkJl8hXS5jiZWiqH7u7uR224CuwRWBCsc59beNoQQyvpvADViQZOA5qgDV+ceQIFNdJ9qLNeQ5fli6KtSyKIRppSeWheN02hCKHaPvqsUizQQKk0SrJxiNNhKrFjFau1ElheQlQyUY3ieRNdVeI56CVyHoqNqxFrCFgFTkQyHLZ0D00qB68vXad3QvHchBNIfpxIRiEC8MRZKAaJbavOOrir0bbzrmN9YyRPFBdFwBFKdQKPF98l55vNVrPEHiVV3kurdsPKsKqkJ0BgPQSRgUqg6PHl+iZvaJJYVUZ5zaQkiXc8Jhxq6oO54BBGIYJLQ8G5CZqiJjNNqOZLzT6CF9gKN9VLLK/7A5BqIdq7kFZ8dan3piSuEWCOlPAcghBjiMuuNLkcZvVlK+XsohUTjAn8O/Pa/5U7/U0XoKr6cHVewz46tLJ0dIVjIYCd70IQCA/REUxBZe9FG+sDpeSYzysr89FkFK727z4bjEAlanJvP4XqSRMjAq0uyNZdIcmhVQ6xG2CAz2vxpWTQBHTE/5xdKl8wZiVXfr7tekxYmYGq0RfxMTTi0twehViC0eJRabCOQAt1gJlshZNSxkl7jug0F2bjQamVUqrnsH8uwrvgUT1b6ue6aG4kFTTIltekUY+vRBtoUD51QnTUXSln0qJ/QMqNDeYHY4kHQp9Wzbn71cxWSGcCwS1BLk7VdSl5dbfDLaDbPJV9xOJXVSawZxK2XoHbpkLPjeRybyjHQslKs+rwitEb4zQPPwa2XWXaFYunD6OkSdKq6nHXtkWaX1ywRbLOTkCEJrtoQlo0GDUEqbFGuO9iuh2kXlKXe6KLK1H5qegTPCDRroYTQ1War+5Rh5Nn4gv24Z8vM5CvN5Hq6VFOjP7kfLdyu7s+KwOzRJiotV7b5wr4xkIJY0OCWDe14E0+TCgisnu3NZ2+KFVHdUBu9kZa7+ZqrwB8LhTozM3n6+/oJVXTOLZawTI2eRECh+8ppZdgtzyHXJk+QgBQESvNoTk15cPYcjn4FltmIEhRmwB9j2m5hKlPh5g1tOJ5HPT4MbXHk3KoSh0BcfRpSdzxOzuRXrgmKpDeQUqUEo49AVeXdViuRSMDHnoEkec9HqKeLyNIhCPoVeW+5TsjSSYQs/HmH4xNpdrY6+E1dUfnoZtPQWi4VcDyPiu1StV1kqE2Bk2J9igNw8yufM9/1Vcat0M3me18WbRWSrynLRkQjr7dMNvwS94pAoegeEEKcR21d/VwmsfblKKPXCyGqUsrPAwghPspqJsCfJmldrxA35+5v1iEITiM1VfjmN3Ta5TxJT4eWXc3DHNfjc0+OsbYtTMrn8tRkBZ8Og6aCVd+1LkLR76c1WqVW0dEQRBPtkFhlxTSz3Ur01bumUDmp+UKVfMW5JCJndQsJofsUiaLhRyIpJbdATxTO3d+oSVo2YxW0W4iVxavJugqvVLIQiKM1lEoiZDK2VKI/FWB9JEapNMlMtohpREiEfAy2hriwUFKLCUmlLtk/kcF0ikxkKuzsDyha/XoJJ9AGnTtU/PxSYYVwO7n+25Dj/xPpaUjLx2QtwOTsHFcEPE489FXKfar41JVSPcPzgLubaDpPXvTzJUVoCASep3KCngeGUySYPo/m1i6pyRaLNf7mkXm6/VfQLcvcsHkjscbzjC2V0DVBR9RPulTnyGSOvlSQdVGpYMZWRHkQ408y4rWTd5N0B+qqnXq91GxfzZl7Id5PLNnK3Vsv9nC29cTVk48ssuhY5EODDAXV5ughOD2Tp2q7TGYqdMT8uFIynavgZKtEDRNLShVCXd7wFkcgfQ7W3dF8xlTYxzNjWcp1l4jfXH6xeB4k41GCgW5sqSmEZT0HR76qclxCKqSXHsJzoRrsZnb3bxCP1jHOHccQCorsymexWS+HpRvz1HYlWiCmShOEUiaaJhq1NY7yHmmUNSyHFJdPF0wqz6HcCKv7G+CdcNvKpi8EoYCf0PBt6uelQ7B4BlJrSAZ9BH0GlqnjqxjoPgX0uW64AYaJ3tq87VjQ5FU7VEuISt1hOltFWCEwomo8W4cvqSz6k0FaQhZPy930JjVlpMX6msZXImQxA0QuaoC4CtrdqHX8aRAp5X2NdM56lDI6JaW8LPaey1FGrwX+VQjhAXcBaSnl+/7Nd/ufKUI0rTmkB5UMmlPD7/ezvj+hYM6xkFoATk0tYk3neAPO+Qf3bGYuW+SpybOsjUGLtwhWFN2wCAd8vG3vAPkZm2SpTCgabbY9RjcV2skfa0CDLy7OLFUdvnFwqrk4734WjY7KX6i/uZ4EXwDae7Bdj5lsg/BR90H7FsTSU3hieUPRkVK1UF++XGtw2aJU3k6+4jBfqLFUqjUUnqCaWyToFBgbvcBktpuXbWpHSom/tgCLeZAeRVsVOUbCQXJajLRtEAOGB/qRpR6liJ4vrKAblHIZ8qIVrWM92eQOOqw4tjePJ8Ft1KuAClu2RfzUA95zz8OKUrfdZUbrF1ZGQAMfLxlIBeloi3P4qQwl26VQ81i2WefyVRaLNXy6YsC2IimyegtpL9jMd8zmqlimTipkNevEDE2s7JTKclD3hVKqfW1JKERWmJidmpqLDTqgWNC8aOyXQ6QIQbZUZbEwyVB2Up1e6ExlKrRHLfyGRqXmkgr5iPoNlhAIIdXmvLwJq6PU9YrzEEiSq0kePbtItmTzoxNz3LNNzT0j2kW2RbAgE/g6epBzBepOlWJmjrBTBbeq1lKtQCTYhyU1POkh/XGs9jhr6tkGa7bA8TxVTrBqHEo1m9lclWy5jq4JTLsIRRdNLLNIoAqBc1Mw/LKLxnaoNdTk7ltuF0I53UCyqdqipqJXF3wWGmVFVteiRawkZ6va831VjYehCtSXx0VzqlAtK3h5as0ljzF0jYhfcO1wG2buAsyfXfGaUYq3I+AQrkxCRSnl54RXX+IihLhFSnm/EOK1z/rTmkZR/zde7BzPq4yEEKt3kV8Evgk8BnxQCJG8nIral5yU0wrmCirpOH8Swylh+0PNyXVmoUJbqEZP7X7l+sf72HdBPepVg0n2j6lcQm8yjMxOQEhZUFIqQ6cjYmI6hgofTD6tJlbndsUmDKravpxGSww3bytXsbEMDb+pP4fpGlTIqMnAsFzYuZxMB0LZ07CUBytKNGAikg3r0BdGs0votSxaLQsIUrEIyEpzk0yX6/h9Gp3RADP5CrtaBV25aYIix4WFB5gN3kOplmJ0sUy0noVMFaKdxEMKkl4o1/D7CyT9jbqlcBK2vfaFwwqVDNEj/4xbqmH7w4jUDjQNbF8cz8gAeQzDAFxcT9IRe35HfDlUJiWq+FJ/gcWr6QRDYUyfDtJGCIHtKe/HcT0ePrvAda2KIqZQdZjNVdnTn8TQBJlijY544KLq+mW81ur9Qm26DcVZKyjGbCCQPkFVT0HvLpVwz46rd1ScVd81L91/bCZXwXElvUJD1EtEc+ehMwqGhfAFgTphv/KgbFdy26Z2qo7LktBW2qBcJI2bnToAA9eTLgsCPp2hlnAzTxULmvj8ARxfjJGFMgHLbNa35bUYYd1S+ZFwK3TtYtCKwGKaqWpG8Tp27Fm5jhBs7ozhNzWIXQ3jT5Cvejx0ZpG5fBUJSgHmxmFuCSuwi7l8VRlm0rsIVbHsXOmauJgh41Kew7LRqenqb9UsjD+1wnqxSpYNgOqCD6oK7TidzbCmJUA0c1yxizSKuit1l/MLJVoaPHV6ZQnmj8PQzaBdep4Waw6zuQq9Yh5jue5wVdi0Xs6hTz6FXpuF/FmlXJvD9ZIvcl2WG1FdXu+5xN8k8G9XRsABVtbb8r93Nz6Sy6iofclJvbSCcGrQiQghKNQFU9kKQVPHQaNSq0PIYHklPHUhTW8iwFS2QkKv8ld3tiPC7XgPTVALJhEIbM/jqfNp1kctepevtRrAACo8dvq74HkY1RzR8M2IYJzOeICBlhC2616S6Xo13DsZ9Klzn70XrWM7oKvQSS0ExXkSQR+J1jgA0rUxy/P4skWC9RmC0ZtxEmshffSiOLguRDNP0WdViLT2QnAb8sI4Zi3T3NKGWsPglKF9M4n2zbx7jU3l+Ckilk7IVAW840tl/L4Abc9jJQJQTuNZMfJWB2HhEHSyFGstzJQFmVASmGtS73tSeT2CZyXYV4mCxGts7XmRzsb+GEN7X6H+X5hlrB4hna6onEEwyDiiuRkv565Dls6uvgS6Lrh+betFRsKzufBAEdc2f1kvNnvqCOkg7DITI8cJnHiIllSbUkDJAYU8NJ7bOgRgPl+jYrv0IpCuvbI3p4bRgglgDk/KZi1aLGhSzjmNwKbyXFgaUSg2K/IcaHcyaF40/stzz+dVsErT6F4NazQNcdXKWwTisO2NcOKb0L4VunYoxRTrIZKxCZfncVyHoxM5enw1WmOhlbYodfXuslUbkCSCPmzXVe9cCEpVm8enl8iV69x7bJbXdNUVCKghy57R2bkivYngc4A+VPNqXvtCqo2KU4WBa5UiEZqC0C8rqUuIiHTilDxqjstSsU5/3Nf0IJfFaIJ5JJa50hmY+RNqDC9Bg1WuO4wulqFygf5ATRm+q8FR5QI5LYkZ7ScgC8pIiXSqdjDPY6S81ERK+YeN/35QSnlh9d8uty71eZWRlPKyTvBTJcvMy4M3qEmZPkfvhj3MLfmYy1fpTyp6EeHZgAENuPXTo2muWZNiqVgnWsuwxzfGeS1KoDRNuXUja9Zvxk5FeHxkaSU2vhynX1ZGIz8GhLKyQi3obp0r2yWk1ES/Z1vXRbmC1bJYrFG1XXoSQZWor0kogGh4RkGfps5dyyvuOmngA0Q1y2BnKyLWhVmaJehkmVyKEBMr7+I5lDmiCLMGVHNIoWNbiZUWF89qrBALmsSGd8PcsSa0eyxdIhWynh9eDRBMIqM9aJki7akY8e5evnBknul0gej8OVpNhy6/2QjH6ByayCKlZM/ApZFEuwcSisn6/0JkuJ0RQ9AqKmgIJr0E1WBHczNe3ioqtnvRRn/ROS6RyzI0ocoGwm0rCsaw0CgjJdSqVQzHVSGd/LRSFr4wGJfedIRQGx9WGE9UVjY/u9L8++qwkuN6uJ6kFuyAlqAKFRdmVY7xOSfXnjP+y89o2gVSpTMUzDY06RD0G1C0G2i6RIMVQEKtyKmCSbnew66OPGgBPM3A9iSuBLd9G+lCjYjfwJ9X4IVYrIWYP0vV8TB1ncl0mYju4FTrWKbG9t4EM/kK+UqdiLVKGa1SPpeMpE0/o0LhXTu4qD5IShV6b75QT7FVVDIXeVRm11Z2tDiU6y4z2Srasoe7SiEugzy6YgHlsS+zM1SzCnF5CVkOUabLLj2WxDQunqvVQAtFPU51cgJfW4xgMKlIXl/IoHvpyteBXc/63deA3S924OU01/s3V9S+5GS5UNNzm5uxafrQTX9zm83HN+MLuOAcA6FxZr5ArmKzvdGczUNDAImFJ9DdCpX2PUQ6N2PX1WQ3i1MKMdSIlzdXjesoSHUgrvIFQsOxEji2i2Voz8kVrJa5fJVMyaYnsdyEbRkJp36MB3S1YMwgEyWT0QsZVZAXTOIzDSjNgtComQlihTOKpV5bGfqLr70Sg583XRxfrLmmR+ZLtCU8yIxSr9d4PJtgvVWkE1ag3Z58TpuH50ggQX39K0lfGKNn/RBpJ4gu8qxLgJUtYEZTRAPGqlYa8gVD51G/ahx4fDrP+o7I8xfAOjVOH3oUPbWG/r4+pIREOMTQhiGWgoPEk+0XUf/DCv1Se/TSynU1IUHYbxD1mwpm37272U2XnitJuM8Q8gTTRi/aMhGvpitvpXfv83pG2nLBU99V1CojWOVGjjB9DkItTUs9FfaxVKxju5KuWIDWreuUgi4trtwoNNCdjdne+N2l556gLxHkeEG1rW+N+LmwWFkZBzOoQAOjj2AHr17pawVoukExuo5yS4CaP8nhkSU2d0fpLM6CGSAWT/DqnWHlEQVMDo5lqElJ3NLRnRUvLWo1avVWyZq2MOfmi5eGsywXqcLFRevp8wqwACoyMrlPzf/y0kVoT00TRPymYsVf9couAh5pF+com39btac8W1bWg2gwWFysjIoyxI+dbcT1Gie9Pm6XYWKeq/KJhv+ngRwVIcQGYDMQe1beKMplAt4uB8Dwb66ofcnJ8iSYOQQdCsKbGTtKyRsmkUyq+avpKryhDmjmi7b3xinVXDwJkdF7EZ5avNIKMz09QVGPY9RzBEd/AG5OhQzaNq0i1pQQiF0E03zwQh1Y5Jq1qef0MLrotldR0zw2skjS57KxcU7T0HArjY3FLmMWcujhVqAN14oz1XE7SU3VFhWmXSxCYLgv7P43YvDFqWmE41KsLVuVjfdXWkKrl3HcOPriKYj4m4reuxxlBKRa2tmbauPCYolirUbYb6DVDSxdY3jTLkJ+k9HFEomQrxEOe/5zzuWrZMs2mVK9iba6pEiJLC5hhztw5s+QnD2O0f1ywh3XES4vgemgproCRpiG1gSVdMafu56uWdPSfOYrBpL4fdqz6oxWktBhnwaGn1EvSm3o1dDqqbqYzIWGF/38z7f8RFu7Iki5qphYaNy4TnmLC4UaS8U6ddcj4NOxPAdqtVVHN84falGo0oVTL5yPEAIPicBDNZtbNoAa5+nYqhRibgpfdY745CGOZztplVXahAY+P9J18IoLgKa8a+kp2h7PJew3KNtO83KarhESGncPrfLSZXgF6NGQ5fF4Tohu+RmbbuIlYqigvKF4nwI45KcvQnt6Fx5lvmZQTG5R10CqUGtmXBkNgQRmQzFcWCyRq9hsiSwrI+d5lZGx6l41Kwj9V130dyldhuUo8e6tjBNRStotwvRB6L9mVXnIS1rWA/9fe28eHEl233d+XmbWfQGFuwH03T3Dnp4ZznB4iJdJirbFQyIlW7YO25JXK4W9lsO2Qg5rQxFrryMclu2wYx22vDK9y7XkS7Jky6RFihJF0zxEcsies2eme/pGd+MG6q6sO9/+8TLrQp1oAAUM8hOBKCCRlfkqK/P93vu93+/7+yQwRuu6URb42UEO0CuAwZBSVnmEjNpDh3OzlPPq9/HTZG69juYvIlBT8Gp6FalnyM6fI+KL8PryJhMhL3MxP7c28pyP1hh787cYcw5ZzpK+/W2Wpz+Et5TECk1BQEnX4w2pfKbmAmcti61KiLVnBBitrpiWzlZKon6DTMoLVVWMK2SWmAqsw4W/RMWIciNj8PjcSTViJ2GXEu/RYdukzQqZQoWalHzptTUiPgPCp+Gx98Dtr6LlNjHkTKM6raZRs1StIGMAY6RpAg1BuqACCT7x5AmSqQCTW3HCPkFVSm5t5FTwBp1Lazjc2cw3ic72OKnQVJ9s1ahWQVgV5b+Xlgo2mbxYd42cnAhyciJIylSdYanaOZrP+SwBr06xWsOjaSpMfOmb4LMDSe5+nXLVohA5hZQS6Y8p96wT4JDbaIQktx/bCYFeflHlqUycV9Vx11+vGxPLkvUBQ6VmsZ0rkVu+xknWECeeaXx2UDdSeFq1Tes1FhWsZ4qAD59HZ93O86rPOr3BerSpJjQqUlIo1ah4PaBp+EoJfKlrEA0DT6sBSjmv3ltIYvnjvL6cqZeWF2MnIXiybZY2QTt3N/M9mtz0oDTPjJznyxOE4JS6FpmVndGeUnJ/K4seKBP06ejltLruoSnYVoEFWmCcD16c4sZ6lqRZhpm4qle28nLD89KGMziTQkM3vDsGghPhAGMBD8l8ET0siGumGqSUc43PcMiRUn4O+JwQ4vuklN/ezTF6zf++a7/WhBB15+UwGbWHjmC8scCoeezqpCA1JQBZqlosr62y+vAO//2hj3TNx0q6wEI8iM+jE/IZxE17bc7OfdA8IbzmOqFajrOnTuLz+9XNr+kqcic61zdMc5Dozbq3T0p0w6MUFHyqozann1F+/NAU5cknkFZNjfhQOUQPkwVbDw0Cmdsqz8EW5exGwixTk5K5aACJWqwN+T12tdb/ibb6MtMPfh9ZbYxcHUM5yMzILFe5sZ4lX64hhJIiWkoUSRcqvPy9r5OwjUBNyrqGWTeaT9fz3ELUa0NZVg1N0/HUinD36/b/dz4OjrG9tpLZ8b8b61lWUgWklFxdTvHdOwlltOwkUMIzcFGVb1jzLvC93BRBr0HYb3fovojqmEo7j+3w+GyE952bhFKWB6kiD/QF1alnV6GY4fpahjtbOW5v5JiN+Yn6PSTNCiupgtIuFMIuzGZ/ttSS+rztwQw7rpWG19DQA1E844s7Z6blvLqPrCqarmEhyYcWKZz8EAAn9BQBr07NnlG1hHYj8OiqMGDBnh0Z/tDONIBSzhZAHRChUX9SYvPqxz4foGYZsRPKO3H2QzsSsjVNAykZC3p577lJgpRV4Mf029SAxX6mvPaaj+Zc25Dtfvd2XjPyGRqL8SD5ySfVYCK51PL/WMjHc6cneO5kjE9cCBK783tw74+VsoQTcHUACCE+K4TYEEK81rQtLoT4shDipv063usYwF8RQow1vX9cCPHZQc7fe2ik+EUaGbWgirD85UEOfihpDvnMraEh0L0+njgRZSlhMhENMCd9pCp5ErkCK6kCj81GmIsFmIsFMP/HEgbw8H3/kGDAz8Tmd6lmy0wjmDvzk61hzZ6gWmjWfWqG5Os++u2FGvCph0xKiWZ4lKsFSDjlo2fiEJ5BZExV9C4QJ5Evc2UpyUzMx7XVDDNGganM61CwhTo7qSPYtEfZhX0evKUELN1S6x3RebREFVHOQEmHQhJvYJwPPz490FiuVLG4v22qz4cyIlUpqNq+eF2omkk1S7IQD/acbTUboN55RrodU1Il5vfz9OI4BIx63Z3mznkzW6p/95MRH1tZFf5t6Fpdeuf2Ro7TkyFmon6S+UpTW5zjOK4iUQ+zfnw20ujYpVTlvz35HYvp9c/TlL2fzOTRjWW4/9tq/0qRZORPo4fU+6YjPryGqjElHC9AcBLOfaT5IqiXzLJKAO9GYJz18XdyK1njTGSBje0c65ki6+kipyZDaj3DJuTzoPs8JKRVHxicmYxAOkWiok6pN4fc25/fq+uUqhZBn46nZkJ6U8npOIZr4w1lBE423FoBr27P8jswebFhdO3Ceup8TbNC+7N1vO/Lefzmiir6R9gWlt05i7q/bbKWLhL06Uo9o5BUbn/Du/OYKBfzhekwpyeDsHFVGZgm9XeAkN9LKOaHWkrNiEITSi6qmAIWOx12P/i3wL8EfqNp2y8BX5FS/ooQ4pfsv/9Oj2M8JaVMOX9IKZNCiGcGOXkvYzQlhPgF+/d/jZJCy6MWo54BvjrICQ4V1XIjz0jokH6oOnphoGkqrFUTBsl8iRPm94iLcVZSRRUMYJNZeglvcIb7Y+9ixlcmXtsiF45DboPs9jqhE4+hOTf68gvKGJ1+fyPPqAP9jNG5qTBnJkNIWzVAcz6L3eFEt1+GucfgiU/j214jTBQCY9x4sIklJacnQmxkVMJixjeHf+4UoVqqp+hie5TV9+4lIJ8Bf0491MUMMU+AyParkDGgnIUnPo0+YKZ482cWQmBoAqkZlC2BtEsMKE00yfxY7/BWp3MP+40+xkgQDEWpBYNAze6XmzvJxui9WKmxmS3x+FyEKccYWZJ8qcJ/efEB6UKVdKHMZMTbYnwNTYA9GyC3aY9sJZ7UXULVPJacpt4vJ+81dNVyax0HBxtZtR52EYFR3Ca29KZys40tgrTwlhOU7DWF7XwZn0dXs7m6wVMqCM3XAFDPQQ9jlC5J/vBWnkKlRqKwRCpfoVCtkSlW+Il3nSLmuJoCcWZjQWrxIBvbS/i2MzD1XP08Yb+HZ2bHCHh0VQBv5aX6dfYaqv7UsyfHIXFXtSk802hvW50np/mym5s51BTaXy2p9+oe5QL1BOH+t1VibCejUUjCvW8SS+Yov5blpcInuTwXwjN2UoVZR+fq3816Vg1eNCGUq3X1ZWUwuxgjgNubOcYqa0zlVzuLCDuRt76oui+MgDLKgZ2uyv1CSvl1IcTpts2fAj5k//7rqAC2XsZIE0KMSymTgJOvOpCkfq+ddCBMq9PSuYqdK50deppuYnv0JYSgbOmspYvMxvx86G1zmA83ifgMykKjUKlxYizAdq7Ena08lxKvUx6/QNUT5kGxwETVwChukrfghS2N98xY+J1RaXueURvxsBezVOu9zkEjC9+yJCcngsR8Am5/RYlIEsRTTqkR2vhpogvjRIGUWWY9UyBg6CTNMpWq5E7ex3Sxymb+NpcX4iqEtAfN/nufR2MmGgDC8P5fgEqeuWIarn0B/BGQFoX0Bg8yBgvjgZ4BGc6lUdcf/B4NTRPouk7BM06tmkcTqlZMzZIUKzU0IerukXY0ARG/wbvP9nlwhWDhWeU2W394m2wxyvkW49VsINVrsazWYEDpAibMMqsppbxQqUmyhVqLt0vTBNTsDaUMmGWcKCrNKvPS/SRjQQ/npyNqBGxZMHNRRaJ1GBykzQrLyQIX/Srz3/JFwFOrd9RVX7yuur2cLNQH/5pzD+Y31Mi+PnIfbA0imclw1tjEqCTQt7IUYu9ibkzVGUqYZWITtvK3ZqiOf/w0Y5klAjXlVrq6kiVs5jlzIsxE2IkUdGZ5DWPkKGQ3Zi9Nz0uHRC6zVMMsdVklKCp1EAJjag3QCMDCO9Q1HT+tZlrdMBPgCVKITCGrFczUBkxMqwCKifMthsaZiYe8Bgg7qPj+d1Rye4vyQ4OlbZPt5EOmJtlhYAG1fOAJqOt58j3KgzN9SQ089g5DCHGl6e/PSCk/0+c9M1LKVQAp5aoQol+D/inwLSHE79h//yjwDwZqXI//rUop//4gBzkyOAuMtosLT5C5uQluFjSSZln53IM+onYY792MWreYH/OrjieTJpi9S27mSTylBHnfLJkzn2TRV2C5HGAlbbRpcNnGqKaCC5h+W6NqI6gR4QBs50qkCxXOToWVeGetNare0Kjf4NWaxVauzFeurWMhmYn5eXp+DIBX/Dr4P83K9iozJ89zagi9q0K5xopZ4oSvSsgfheisHZm0UO8YC8YY9zdMpiM+gt0HiUCjS3xyPsa0fb11TSDMTfSaRGjwnrMT6Jrg+TvbRAMeLs93jipyquAOQ9KYYt0b5bzTkvB0y8jamW2lCuV6vadK1SIe9GLo6n7RhBIm3bGeIjTVKVUKUCirUXX2LhLIFqsEHA2y2IJaV5S1nYvpTe2QSPBFlaHxReGJP1F3BVsrFtWmqLRKzVIuT/8EzM4oQ5HfZJCglWbGvRbz5XtUPF4qwmA86MXr0RqJscWUUpXWvCTX7vD62Ed4z9wEhlVxGo4lJcuB86zcS3BxOkKslFUdrj2remwmwlqmyJV7CZ6NCTUfajFGO2dGPdl8U0W1nfo+6sWmQBl8x63YbeYcjENkhrP+KqmiwbpvHM2y10P1VregR9MIenWeXIiphF+HWvdsl3ypSilfIR+pEvJ3+ExRpSJOMd2YOdmivXtIVUr53F4ftBkp5W/YBu8jXJpI1wAAPsZJREFUqG/gR6SUPUYBDQZZM3rr0KJNBlQKaIUUHhlHCDt0N7agwrGXX2DVNkYnxgJq9J16E4GkGjtJKHWT/MwsBMbRJuapbuWBXKsAqlPPqIvYVbGi5G5CfQrDJc0y9xMmZyZDWFI5Mez4HCRQrlTJFqtEgNV0ka/f2KRcq7E4HmI1UyAS8BAPenltJc2Dohc9fJqx+OAjrrRZ4Rs3twiXEhBI8A7v84Qf+xDfXrGIxT/CpVgVgnGqlQCQHiiAwXGnNV+Z+fEAgZQHKQVeXavPhPp1o36PzsOkyUqqyDtPj/cMA7/90tcoemJk/ItsZUukiyFiwUmlFdYU5eQcwQnKWIwHCXoNAl6d95yL8zBRQBPKuKRN1QkFfbaR0TQ1St66VV9PiGY2uTge5dVqk4syMK4KsfWQTnJyNJl7ivKDDLqWbFnz8BpJ/B4vC+NBbm/mqNQsnloYR85F1ZTRVomvf6IuUXvtxAIeVRG1ohEO+KidXmxNjN1OqGMGolCrIXKb1EISww5tL8dOk/TM8cLVDNu5MpdORPnBqRQRRL1zD3h1apYkXaigjdvXbocxav0uZ2N+0oUunX6LJ0I2nvfcmgpDb74O7dgad97sOmYxQDXnR7M2VFvb2mDogooT2dIyLe78HKfNCleWkkyZecLFDO94fJwdjrpiWrW3WSGimOkfaLL/rAsh5uxZ0Ryw0WknIURUSpmx3XJrqHJDzv8Gko/r1Qt+f4//HU2chdHtm2qB8NaXKZSrjBv30CM/gsrPon5Dr6TVTX9iLKBEQZOvA1CJncZouqlXUgWViCfa8h+EZhuitlwPm2/eVAmJH70006fhQtXsKtf49u1tLs+FmQWyhQqv3k9yPl1g5eYmH5yoIIQKv72ylCVlVpiJ+usdSKdM+0FImGWklExFg1gVSS6bImw/IBVPDCbGAKiVlSrAIMYo5DP46KUZrj5MY5ZrnJkMcW4qDJkxFUrr0XljNU2mUCVbrDDeY6q1nStxcyOHZcmehghAFtPki/DGtSW8lQxfqH6QT1x6gpjM2kmGyqVk2OHazjd3aiJYl2X6wPkptvNlvvzGGg+SJiupAn/isWkmw+1tbHRYPl3gC/kg3bZG2EeRuR4KISXPLkbAbO2I33Gq8d7VdIFcqUqmUCWRzTFhlIk6ga/NSa+xxYYmXtcTa4R8BqGAAboB7Ymxwbia6VsWmlkgmn6Da/kQJxcXiQOa7iWf28QoZpmKTFCTkqxZIOIxlXXVNHKlKve27LIp7UEGoNzQbbk7OVszMG1Wdt7DAjomvbasC/a4PzSDrQfX2fJeRBh+RK3SlCfYwKMLKlWLWxtZzjdblS55RgmzzMmJABcnxqkls2zGLu80RmtX1WBo7HRj29Ifw7nv77kWdQB8Hvgp4Ffs18912e8/ovKMHBk5B8GA8nG95ICOnhDqMJgJiJ0kwxgisY1RTACLdsjqEoydYuVmFa+hMRFSReqmlr9MJTxPLD7DuOFlxR64befUDGpHIl70hPJfdwntzpeq5ErVzg9WE076RD3hT2+4kKZjIU4E5rhv+UiYZXyG6kSeOzXORNjLk/NjLaXNhzFCDvGgl7fNRbFkhFryIeG48ourwm+N+65aGzy02yFdqNTHCFJKamYKChny3lk+99JmXZsu3qNo3mauRK02WLKtEBq5QhnLqjEe9JCUkmQmTSz3slJNsH3001E/01E/DxIq4s8sq07d79HRNEGuVK2Hvq9mCmxnS0Sbi+vd/LIa5epeWPoW5VKRrN9HtSb7rhE2owI5QK5eRZibKmKsDbOs7iNdE6TMCv/uO/cIFDY4X7vFs09eVgu8zV6BsUX10/tC2fvXOnbIBMZVxVszQbkgqF1/HgBpyxp5ymnmsldJFAS3iDIV8RGzUoCh1mE0fz03TEqUi/TU+1SggUN4quWUabPCF66uYklJqVrboW5Pt6RX51X30NPh4wmymStT9qWJzc7a6gc7Dcy5qTAb2ZK6J3xRZTQ3r3fNM4oHvYS8BqmsJGz4iUc6hIALXX033pAaMDgh3Qc4KxJC/CdUsMKkEOIh8HdRRug/CyF+BriPWgPagZTyk/Zr96iYPgwU5bAb7NjyTwIbUsrLHf4vgH8OfBwwgZ+WUr64X+2pE5pSD0MwDv4oWjaPFDo1RwyxVoZCAuJnWc484ETMjxACX2aJyMa3KX3f38LnMagC4yGPLZao3vrEiTYXSDAOxOs6Ys0PgjN1t6SSutn5YDVodxnpQoPJi8SIoG8XuO57ou7Ld7LaQz6DizORXRmfdmJBD5986gSp7TWmZJqg7VbUmyqAQsMwGQPIl1RrFjfWcxQrNYRd4e6NO/eJvvxlQOLZWMFXeRZ/dJK1TLGeJ9UJxzXaOSu/DU0Q9GgYGuTKVQxZY2r7CvgawrideHEpycmJIOemwtzayBH06C2h73e38mzny3z4cdv9KS0VrTb1GNz7JllPnJcyUQJevX79BuH0ZIjTkyGspXvcSkmiM9M0O1hvbeRY2s4jJbz7bBwpJd+9s825oAerIEmXJBFfqPHZcusq+uv0+/uc2d4/ONG9uqgzq0uocWt27BK1abUeO2mYEPMj/T6ikTE+eGGa0AN76cAJYGjWE9Q9O9ZmMBPKEPrUPCJhlomHPMQCno7q9i1uuvg5ZUyaP8vCO3tL62g60ggw6aty8bT97Ha6MkJ5KjQh7FnjhPrpIunU8EpMMlFeIVrZAObbDmq33eNXOYQrL7W2/QCQUv54l38N7CUTQnwO+E3gc1JKc5jz75sxonPMejMfAy7YP+9GSQy9ex/boyikbKmet8ETn6a88pCNrI8PLNh5CY7ft5BkNVWoZ4hHrv0mUmhkn/gLyOxt1ipB4hNKEHQjUyLg1XeKg1ZLKofFE1SBC77G5DxhljkzGWQi5CNTqux8sDpQLyCnaTBxjijwiUBrMbZipuFz9ns7j9R2Q0zkiN37HVX6oJyAibP2Q9mwRqcmQpyMB/u6ykAlk66kGmKfAL5KirJ3nFJwlkWPRsTKsJwNMxP1cX6qQzisjXO+QWyREAZBj+BHn10gm00TPH+C0LKtW9a0WJ4yy9zezHN+Osy7zsZ55UGKclUpOj9ImFw6EW1xe/7PNzdYSRWaZrlNo3ShIWzRzacWYo0CdkNgAZlMBo+ZV/JLNplipX6asM/Ao6tidjVLKVxEpk9DvCnk2bnY2bUdFUdb8ARVYqju7ep+cvB7DHyGRlZadRfkbNQPJT9bCcHJeKjNaKh9nDVBXRMqGjS3rkK7PfbnW3lJ/T2rxrLxoJeZqCog2EndnviZxppL88yvOa+rD5YnhChne+6TKVYolGsqEKVWUbOYmctKlaILda/E3VUg0pSQ67RRU1WoK0U1Sxo7pRKUj04JCYd/Bvx54FeEEN8Ffgv4PSllsd8b980YdYlZb+ZTwG9I1Zt9Rwgx5iyU7VebKCThxu+r6XApDU98mtrYOaqlLJaU6IjGVDtxm5WUh/ddmFIipy/9B+S5j/JyJsLboo+zma3itRdShVDRZjvcban7Sr7/sY8p49dEPOjF79HJlCqdH6wmTtudfNJeL9A0AWUTdA8xryS2/iJ4zwNzSh3Zo1Os1FRux15hJpRPe+KsUq8wE0xH5lqebycZdJA1qbbCn+o1GKcUnEHIKiF/mHc+cYFwSufjl+d6Hs9xz3VNhmwiGBlDkwZhP4T1AC1hf01GtFyzSObLdti4B6+uUbUkZVsWqFnctuMsVwjVmdiiuLq5QaBkYMne4fTtJPJlVlIFzkvQrDL+7Wsw05jVOC3WNFjPlLhyL8nTCzHeORNlMrnWOXIL1H05eaHz/5wDagH1rNhrPN2I+L0sjgcpbV7HyEQgfB5QivfnpiLIGXsgEZ6F1ZfUYDA0gdfQyJeqTEZ8ZDJpoltvqEgyxxg1lQ6HnblvO+6JZg23cl4NLA2fcn1pHnh4pV6orxvSG6awdpfXX/0eT3g3VX5gm0vTuQfKVUt5PdZfUzlUPYwRoELsy/nOye+apqpK5jeU1JNTfG+0wQtDI6X8GvA1IYSOiqj7WeCz1Bfku7OfM6N+zAMPmv5+aG/bYYyEED8H/ByA1/sIi3lmQmWkR+fUCMpMgNKcZjNbUrMgexRYsSTrzrabfwi5Na6d+LuIWhmtmKJsRUhnS2xki/UyAjc2sryzucxBs59eWurY9s01TECBo+NWqVkYuqBYqRG7/3U1nR87aeer2BFdXoPHZiNs5UqNKqF7QTCuHmzpqYchLwYaD1/arPDvn79HqVJjNhbo6XaE1kV8x2hqwTgbix/DU0oinrhIzPQyVc0hNChVa60ipC3HUq873KQdmH383VRqFlevv86JSJCJPovbKbNCyqxg6BrVmlXXqGvOeUqYZaYiXk7FQ41ZrhNJaW6BN6zUvWWN791NcOlEtD7j7odZVgv2p+3+Weit18C5joVyjc+9vMz9hMlM1M/4mSihVBHufVN18OcdFYYBO7daVRnT5F1VGuHU93XfV/cgJs8Ry72Bx64wfWe7QG41zVPnxsFrqIHgzS8rGSMJXP5hTBnmhftJxgIGK8EKH49WCTWvfXcI7e657lnMKG9EeEoluEbmVP6OoxGZut//cxt+ArmHaEtJ0FaVUWgzRo5YqtfQGu1beUkpXXRx1QENbb5Os534WXuQnGnsG5o+csYIQAgRQIml/nlUOYlfH+R9ozRGna5yx3m0nZj1GYBQKDRcwkQzwbgqS2w18jrmfQFurGfrox1nZvQgq1xJC+MBePE3sELTrE1/EK1WxpO+i2HNQugMNUty6USUfLm6M/vf+buUUQ/H3Nsb+QQMHlCQzJe5s5Xj2moWiWQlVeBTwZp6cB0feVOekd+jqXykvaS5vLMdhiylxJJqZpIwy+SKNYK+ztVq23EuzdmpEKcm1IKuoQmq3pgqWxEc55RflQb/6psbnIyHOD/d2VU3P6ZqywwaOFGtSdbFNBPRaKMhwUnwNq6Z811u5kok82WCHoOVTKFuOJsNYzzoZTLsa53lykVbg0xAaAotsY5zy1sDuIscHBdk1aMMrWhzmTnNN8s1gl6dd56Oky1VSOYLRNMrKh+onIf5Z9R3OGjnJq1G2QVv7/fkKpLvZuI8E/QQ8qnBoqYJLAuWjUVipSphMwG+EMSeU65rM0FCejk9EWRxPMh2YpNsqUrITCi3VzBOV+XtbqQfKGN3/qN2T+IEYVhQyTNIrtXj0wFWl8cxjSiYy7ZYaStGU00jRFModl+XWltARTNORGUxpV7LWbW+fcQQQvwWarnlS8CvAv9Tyh6Z/02M0hg9pFV0aQFY2dczdupQbS20+v2hGzD1GK/eVrJBz4yZcPMPqL7nryM1D9JSKtPB7D2yoTP1WVHNkng97Tej46t2DMbuRjnZYpXrq1nK1RpzYwG2siWypRqhDmHj6UKFl+6neO70OGP9Mk+HpS0M+Y3VDMl8hfdfmCQe9CKRpM0KEyFvT7cjqE5W11vLR0cDHsaCaoEaGgEJ1s50kxYMXePNlTRS0jUx1uHu699lI5mF8UsYmt3ZhWfUKFpvPA7O6SxLYpar3N3MU6lJHiZMzk6FWmZGHWe5wceUC6eYgvHT+Nff4Fw0wtVCf/mnZhz7Whs/i+69htY2M/J7dIJencdmJvjGrU2yjkHUCmqN0uOHrZsNdQdHzLNfBdEuyhRd21gp2tHUtlpIZJ7t2QhbKYO3hSqEHa3GarE+EIxL5apeyxbxaToRUYI3v2jn1miq/UOtmYgme9NkyIoppYw+AJ7IJEJahNJ3wKfZ8kSt6JogX6pydytHYNJD/Y7rEk3XaJ5zHTtcz5KdWuD0FaU8pJaV52OI5PRDwP8H/ISUcmgx7VEao88DPy+E+E2UJU3v63qRQ1uHmrLXfSq1ZveA5JUtScCjc3bl90Ba1J7+C5AARzfLqdYoBKyli+SK1Z1F3epuukZ9pN3g5A5t5UrcvrnF47MRexFc7ggbF0I9KN+4sckHL07vSTRdN+rlDVAd8nvOTpAtVvnghamBzvvhx6Z5/s42hiZYjAfriZYOhXKNu1vKtdHryuVKVVZTxb7JwwCiVkSvmsS2X8bviUD0/So0t5BUrinbIBmaRthvIATkSjV8Xo3Tdhj3Eyd2Grwds1wpG24mKTE0TX1nQxojZ7Dj9+g8OReBcOu6xMWZSH0W/IlAW8XeB0Wl+das7uANtZTR7nXmxq99jBEQ3/g291HVUwIoOSJvcRtL9+LRxzoOBGPQMOJGhdCt7yiVbl8UKiUVFNBFXqdzkwUd84yGuN5r5QAb3pPE0WH+yR3h5aBmoVeWlHvx/rrgk+GquvcGLYI39fjObakHak1pbFHJLC19y852tnoKGh82pJRfEkK8144XMJq2dwtkq7Ofod2dYtY9dsN+DfgiKqz7Fiq0+y/vV1t64ehctdQJyq3zasLg8nwEffkKTD6GmDgHiS3mxgJEcwYBj8ZD1O2eLtqBBe03fWhSZeLXtep27/8N+Qzef2GS66tZPvbkHKGVW40F3uBkPYx1M1vkylKSsM8gW6r2Xbt5FJqNEagOc3zIhNpssUrZnp1KKcmXa+hC2OUHZFPEXfdrZ9r5KlVrAG+A0FFl4yS6s6ZWSMLaq6ocvd4oMf6esxNcX8sQ9RukCxVub+ZAwESox7qAw92vqZlRcBLWXqFqWayX1LGHyjPS1MBHbF1XUjeR2R37bOVKCGAi7Gut2Dv3tJoBBScbnZllqcCFTrlDzbTMSPoYo6ZOWNprJnolRyT1BmVfHK9uV6DpkOBbN+KWBRd+AL79L1QC6MRZmDzftSxD1za3KDCIxnbYGTregc1siWJoQaU7RaaViG0b6UKFM5PKvbiWMUmLKCEGiGLWd9Yy2tH26LxyU/rCKujCKV1xRIyREOLfAeeAl2mUGpJ0j6qus5/RdN1i1p3/S+Cv7df5B8W5X5s7iEq5wGubNf7C943Brddh/lk0IYiHvUxFdTwFDUvCZMSHz9ARKGN0cqItmsYbUj/12kG7nxmBCk6YifoZD9olJLwhFcGz+M6W/XUBT8xHSZrlgULGd0t70quAoYIm3rBrBDlXJVeq8vwdlbPy0UszeJrKDvS6co47b5ClGGE/9CFMPPlCwxBBR5eQlCqa7v3np/j6jQ0sCdlS7yTleosjc3Di7bD6KhXh47ap1rx8Q0Q5Tkf8TEf85JcecitRYeZUuEWl+P62yY31LOMhb5Mgqc3YSeX+ae7QC0lVdnuxTxaFc9MZvpZ1zk7omkAiKIQX0SJq35heJmtoVJ0Chv3QNFVr6NT7VETZqfcpt1XZ7B+l1mh04yaYvtQUum5/lpnuyvn1IwjQwxMsGNs7BFIdnEjYtWwRXdMJT50E2TscHFCznmJafQftMy5NVxqFvrAaLKydalnbPkI8B1yScoiFUZtRuukOBT7b3TYba+Ru3NgsUapJnp0x4MoSPPMX8RoaT87H2MyWKNUE69oUXl2F927mimgaO9101bJaANW96sYe+KFqxZkV1CyJptl/d8mgn40GuDgbIWmW+4aMPypCCJonI31Vs9vYsKX4nc/X3mk5UUsBr87EDqmdBkO5vTQNTzXHpfKbUNSgnFEdgLdVoD5brHBtNcuZyRCnJ0IEvDpPLY7x8v0UrzxIEfH1CT4RoiW4RNjuoyfmo/U1sWGo1Cxy+TyTlRI0hbA7Sc4dgzf8Y+o1fq6xrTnPqFcnJ4QKBBB6X/eTKuEkEHZoO0A04GUq7GMpP+AAxaopHT1NV0bc8KkItelL4D3V//2gIuYcsdtOeUYDBDBoQlDxhKFcgJVX4KSv42yu7l4MGERLKxAcoI2WpYIsPIGdxsgZCNkF/Lj8wz01Cw8xrwGzdIiK7sexN0b1GIOmTa8qyTieDdr6XTOXACVs+sZKhqfjl0nloVBs6IRZlpL3aVm3SN5V+lLnP9o7p6MP82MB5scCvLmWbXS8pZx6cKsl9dDOPQ3B+CNp0A1LPOStF/4bJNG1G04/2l5AT9MEhi6YDPt6Joo6bxtkzSgYiSFCXkhX1MxBWvbsoXWx3LIgU1Baf47KttfQuLKUJOTTSRcqvV2gQlNJnBvXwKqg1cr4zBUsOZzCeLZY4c5mnqmCXUMnvwGRRlShcz/ona6/L6KSKNeuqoFQc6eWWanf113RPWpAJbWW4I52hBAsxHwspx6gFS9BOI4lldjqE2PRlhluV6RsRO+BWr+D4QIYvMHGgK+QUq5rj7+hxLDxRkc3ZzOaBjUzzfaNrzIRMCC70nHNpu5erFXg4XW1DtSc59QJpxCm1UFNxPn+tm+rII8zHzhqRshhEnjDTnitV2CUUv5Qvzcee2Pk6Kml8pV60uQfr0rGfDBbuKN2mr6EZUnlQpIWWmET0wyQ0z0k8+W6Z2A7V250iIUk3PgDtYBcNuHyn1W6Z4MucnZgKuIj6KgqPPyuCv2MzjcqldrsVoNuWOIhb10zrmZJXltOc2IswFRkgDUVnI5U1gVIO43uvXa5hp55Rvb7FuP9c3cmFx/nHmFWtt7kRLWkIrwcZYymDt3pA9czRUpVi/mxAMWKxYlYgDNTQTZzpT4uUCeSK1PPPRFIrq1kiPiNgRJ0QQXWbGZLjFVr9mdtC+22XzveVsUULH1TWdbsqupUhxk0bN5QateRWZXU2QM9NsNYaRlHWna7UGF5NcOFk+HBBirtRqepFMXAlLLqekdmVSrF5EWYOKeManimkefTqxkIPKUkxcgZWDytnuOeazZ2+/oUKwSgasuCdfJgRebUTHb79pARhIeOv7fbNx7pT70XRAON4nEA19cyfOEu/PkLIDbeUAl/Y6dangk9fR9PXs1CJaq8ALSVVjYT6qYLTaiH5MYXGzkEQ5I2K7yxkiHk0+vnqvvHBwvh3xcsSwlWSimpWpZa/K0MHtFp6IKZqJ8Zu55Rp07r2VPj5IpVNrOlHf9ziPgMPvz4NFPtayZdyIoID879JFz6lOqgvWE1qm0qAeC0ZDVVrIulqpmmwWau1N8F6si9CAGBcbtCqWg59iA4+1Z1ZWi1NoPsXLOObjozAfHzapTtLITXI8wGOHlqqa0V3XnTHMPQRT30XLc71GXRe72pTn2Nyq9m+fba01Adc35Trf+1zzycZNJOM5I2LkyH0cOTagBRSPZfsxnGWHYRTAbsQBM7t6qP/NJhxlZguI4qwBoBrtnb+nLsjZGzzubcHv/kS28S8Qr+6rkkrL2iZHw0rdFRCg2tYhLZfhWjnEbQLGDadJMF4+qmcopv9dIB60OhUmMlVSBfqjVVxrTDWHvd4PvMSrrAN25sUapa9WswTACDz9B3dKJOyHy6rVRCr9G1EILv3Nmuh4H34sHtN6i++SXwBtSo2akCOnay6zV0tjou0Pefn+ofpTh+2nbbCAhNYWiCBXsgMdQal71rLTKDz9DQtNZz+j0aui44PdEh6iwYV26q5k7ViebqJEmz8+z2S//v1FMzqclGRyqCE2zNfZj7lT6uq/qphDpfdF6Fc9c75F2Y7rZEcGplFdnY5kHohGYnXmfOf1Jp8/UNq97Nc9fhPZWCcp1WS/3zlQ4xQog/B3wXpe7954DnhRB/dpD3Hns3Xb5UI1+q8uZ6lvVMia9c3+AXz68wlngTVq/C236wZX+jnMaz/DzRQpWqBdrJH2fd7BCYEBiHSz8It76iDFohtWuD4bzt+moGTRO85+wEO2ZGI5ja1wvkyUae1jDlIy7PR7lyL8l6pshM1G+X2Fad2heurvCJJ0+waZf87nXUas2iUK6RyJc52ydpXcgaQlrE174JZ39ErYVEZtXstQlD0xgLeuwSF42zD+wCrVVVJ6j7QFoIIQh4DSgNa4zs4A4gGvJSrgma5XgXxoMsjHcJjOmQ2wMot5VngGAap5kDtNdI3CAJnLI7Uk3TCOQfUPFEgX71uhykMpzJe6pk+OK7G1VPB6E9r68+gBz8em/n1OxehsZhYgCDPcwz7QwEOuVOFVKw+gogBvtuDi+/DLxTSrkBIISYAv4I+J2e78KdGZEvVbmylOSl+0n+8xWlXfWBsYS6MSr5HX7gKT2Hd3ye4IUPImQNzUzUyxvs6IcjJ+CxT0DUVgTfbWi3/Vq1mmr2ODMjw2uvRe3/GlE7TqdqSVmfGbUHIfRCSpXYWrXfmzDL9RpBjqSQU/OmVwduSfU93trI7ZhR7Wiz5nSWRmNRPrehAg2aCHh1njsdZyzoGSovqM7Ki2q06w1C+qHalLNn4UMcT5XpkFx5/TrXVtN88Uam5TNaluT+tkm22OVzB8YbM0D1Bph7Rmmh9aM+wBmiwbarU6sVCGVuES486POGJsZPq/ItWzeVyy0YH66wXF2d23Fdi9bXAfKMMvazHPEPOE4XwtaGrDalcHRB93av3OrMBGcuPVKw0yFAcwyRzTYD2pljb4w0TbAwHuDSXKy+LvF44o/g4ffgzJ+Ad/x0fd/ZmJ/41Bx6aBJPOUk04EOPTNbXnXZEfOkeiMw0Egx360pzXDVSNjrlyceUzHxgXBWF22XY+KPgLJo7uUYBr17X7RqEm+tK98t5RzzobakRFA9668a3l55bzh5Q3N82+cLVld4Gye5gfcGmEXfiTte1N9mscTYUQi1IT7+trkKdrKnXYQx22GdwYSZCviooVSUVdBJmuf7/h8kCN9az9QKPfankVfCLU7yt32eAvhFoAFUjTNk3UTcePqFcypVC/wFCHWmpQZXuUYY8vazcVgNjt1fT1bqTE+btPDPNIe5dcL6auZi/944OhSRs3oSNG/D6f+ttkLwhNdPrGE1nP0ze8MCl4Q8pXxJC/IEQ4qeFED8NfAH4/UHeeOzddPGgl4jfYDVTIJEvM+4X+BJvwuOfhE/9ixZ/8fnpMJtZD8WLP8Tm+jLJqSjzsUkKK2nWM0WypUo9DBhQo1BzSz0cU481FfsaDoHScbOspiqhkUFdH/tHfWZkqci6952f7POOVtKFVuWKTmHpqYLBWppGFGGX49Qz4rPF3lFu9rmmJ3qHzRYrNV68n+T0RGjg6MCd52nVDdSEZHEyiDGkmno86MUoJqhklwlMpogHF+r/K9pRdoOPc+wdza2+yayc/dDgB27bL1+ucWsjhzekc9d2ufZ1b268odyl4Tnl5jS3lKuulxJ2M+EZtU5nBCDavIbmtG2wPCOgpWhkT8yEehajJ9SaT6/Iu2pJRTV2ctM5xiizovqLfmHihxQp5d8WQvwI8H7Uhf+MlPJ3B3nvsZ8ZNS9Kg+BPjz1Uo8Yn/8yOmypfqvLmWpaiESEfPk1ahkibFf7g9TXeWM3whVdXW0eB0oLlF1QkT/zs4A9VG1MRHx9+bJqg12i46YoZ9eBmVuDmHzVVkz04Ql6D89PheiTibmnux2JBD2cmG8XYAl6dfKnKg6TZdYTdkhHfJ8otrJWZ05JoA3RMZqmGZLigjAZC3Udbt+rKz/7i5uCdnE2xUuPe8jLvLn6DJ437fFx8i5hoKEk7E8aB16HqMt+JwfYt51WuUR/C0qSaWa9/R+lilRMxP2cmQ3WXa08KSbj/HbVOu/THUEy2tncQDK89q5AqcMiZVTkusFR/l6Fzunvb/YNhAOVKFJp6DvtF3iXvKWOU6aAH7Rij9IPO/z/kCCHOCyHeByCl/K9Syl+QUv4tYFsI0X9KimuMgEYHuJwq8P36yyqa5dxHduz30v0UoGYqW7kS5arFcsrEZyhNNgGtD53zEFTL6qEeRDutB2enQsw7dXDWrqo8EKtq52QcfDRdwKtzejKE36Ozmi7w4v0kw6iAOC49n9H9NiyUlCjlt25td3XBDRzlVkjiX/kOhfQ2hTvP9/fxA0vbedYz/aOwdlBf6CvU/6jVLO5vD1WJGYBcYh1C04QmThD0elsMyTDlKIZm+zbc/bpK3u5B2qxwI1FmM1eqf0fjAW+9tMhASiBmQq2xOnWTnICSYQJzyqYq21HKKldk3s5eF0Kt1QwRDFEbdNTgBIn0i7wrJOHNLylje+MPd957vgictD/70cwz+r+ATppIpv2/vhzJT70fFCs1VtIF3l74rropekyTbSFmAMaCXsaCHmZiPryG1vrQCaF2zq6qh7q6u9lLtljh6sM0YZ/R0B87BKHdTnmFas0iX6qSMstDKTEEvTohn9Gz1EVNSqYiXs72GWG3z6g6YiaoWRapyHksu1otoGasbaH39QlEqdYzx6krUaestKgn1cpdBplUfONUvDFEaFoFXTSNvuszo0HXoYa5X7KOokvvfRNmGRGZZnFqvFHLKhzguRM+njoR5RMXgv1ddMG4+illYfwULLxroHO3UMoqV5/jJWj+jKXsQKHds3bOWy+38A7ag0Q6YSYgMAbx02r21j4zbXbNHc3Q7tNSylfbN0oprwCnBznAsV8zcrifMJmSSabMm3DxL/bct/nxGOsnvyP0phISu6NSk6xnisQCHnRN2IoFow/tNis1vnN7mycXYnak33Bt8Hv0viPQiZCPybBvIBdcX4Jx1jJlSukH5CdCxJxOfezUjkgr8agzzcisWowXmvr+s6vE/bNDC3YJAVVvjI3FjzE7UYPJ2ZZOz2doKvx80OZqhnIbStTofJAcmj6GKx70EiptUjaX8Z+4SDw4D9UcIQqEKg/gzjIEPt37XO1h6JWCclkNc193jaazcaqo9sAa1u05KE6lZL1RKbn1xLVGJdpHUGkZIb0WxAcqa+waI5u7W3ke1+ybYeGdvXdGuajKVQuBIBY0uo/8NE3pVwGPGtp9Yz1LqVrjwkykMTNqWyQ/SJwO0JKSak0OFSUGMBP188qDFIl8uS4r1M5eau2lZZjfl++hKDcZk7P8GRlWhdG8oabvSKEJmAh72c6Vd9cxVcvKfVrKwq0/gsRdJjzbpBZ+mMHzbhqd4tnFBeJtqvBps8Lzd7epSclXr28MFiRQzKi1mfA05NYGq5XTxyDERI731q5QEhWe0p4nKBZsBRJrsIV9B6fERG5DaS+eet+QOTdtxmgX31vGDpEvVR9tALmDbjlfDlZVSQrBUXXTfU8I8bNSyn/TvFEI8TPAC4McwDVGNve28pwT9sLh5MWO+4R8BhJJyGtwYixA2qz0v9/n3q5yJhJ3HjnpVf3elDshpSqVHT0x0qRXSyof+zAJr6DUL8pVq+86015p7SXMMqHoJOPxGaqW1Yi6Sz9UBc2alJ4NXeOZk+N87cbm7gaqTsdSLanvJjRBOl2zFTnOD3wYTQjCfgOPsfPaNudlrWYKg5ULKWdh8nF1z+TW9qZWjpnAP30ef2hKGV+nwx10Yb+d/CZkVmGq83PYlfrMqEsxywHcpBW7tpaxH7OTDvWc6jjPb/REQwrpaPE3gd8VQvwkDePzHOAFfniQA7jGyObuVp53eNfBPw7BzqUQZmN+NKH88yGvzvx4oH8HHIzXo6n2YvZSP5+TGBeMd6xGeRA4z75lSXwebWhjtGQv5j+K4vcwxINePIZGVVroWpPLL3lXdaKzT+7oLKSUu3PZCaHcMnNPKrFRT4BaPkfFN1zHr2uCybCXpW2TuVirt6NTXlZfgnG17pRb628kHNdlqE/IvlNSvJRtHLPfTKAXQlezyuSSKgsxqFab06EbAZV717zuWymBV+vrmvTakZNjByA03IKzTuQN7zrqdpRIKdeB9wohPgxctjd/QUr5PwY9hmuMgGurGX73pWX+cnhdzYq6dI6TYS9buTKVmkW2WCWRL/d3TeW3lNtg5omBMsA7oWkCXRNq9lGvtDf6glvNckCPzw6fqGeWbSXqA/IwdnT5OSHFlgWIutvKsiR/fHuLM5MhFrvJ7fTEnrk2dcpmWBALDT8LyZdqHYWed+XCHMZILL6r+/8GOWavmUAvHMHajTfsnJwBjZE/phLVDV+rASsk4f63VJBKpnNJiPqphSBfqnJvK8+ZSXEg6vfqxLYhTd5Vn7lbRdhDjpTyq8BXd/PeI+mc3EsK5Rp/9d+/QCzg4YK20lOKI1uscnsjR7Umqdh6aH0ja7dvQ3ZdCXHuUo036vfw3vNqtla3k07FyM0bKlR0BBia4LHZCOOhR3tgHzlYYAh2RN2ZCQjPqoqsdWVrdZ1LFcsuaLib9kmlTZe6X4+2ShHiYY98qW7c28pzZ7OzksFAUYTtDBL9BcpAF9MD5RkNfMxBaHGRDXHtNV0pkVg19cw57TYTSgUlttjyHXdiNVPgylKSP7q23l/NYz+oVdR62THk2BujF5aS3Ns2+YcfX0QzN7uuF0FTmWwBb65lWc8U60KeXdF0tR5RTA9WF7sLhqZxeT7WqHi6dVPpqY2whIQQgsV4kIjfwwtLCZYGTRS08dvJsp3WQw6MYFy5oaxqi9vKcR3e2cyz1e877oUdGJE2K3ztzU2+cycxVCeXNitcWUqqpOqD7hy3b8LSt5RL7yBpDm0eZi20WlKDv9ya0gZ03OPBuDKUsn8Zb6+uEw0YXJ6PDZasu5fMPKFej2YAwyNz7N109+1aNU/5N9WGycf6viddqHDlXpJitUbVsvj02xd6V/ysFtVDff5P9qyY2Y1Cucb1tQxnJkMEvc77bTcQciQ5Rg7ZYgWPrsKLBy0Y5xANeNjOlZs+0wgYwG2VLVaZHLBWUp3wjAqMsDuWhFlmJqrC1CvNwRN9SJhlJsNezkyFSBcqA79vTzDt8icHHakZW1TPTOLOcGHO1ZKqFjt2snX7EK7JqbCP+bHAYDWr9hrDds0dzdDuR8Y1RgkTr64xUbinNgygmJsyy8yP+wn6DCq1Ph1Ls2tul0ajJiXbuTJ+j0oS9eia3T84eUajM0ZXlpLMxfxYFkNrrvk9OtGA55HLlj8yfdY2duWl84+pV/tzxYOqKm7Fsobq5OJBL1MRH+lC5eA7R4eD/m40DXVPD3ne9jyj5nYPuH61l6kEQ+MUMzyaSa+PzLE3Rg8SJgvjAbTtm8qvPHaq73viIR9+j06lNkDHInbp/+7wruVkgamIzx6lO0mvo50ZaUJQqUrypSqrqcJQD7ChqcVis1xrlGs/RExGfGxlS7tb03Ky/e3vf7ed3Eg7R4eDdhuV80qtZOG54d7XXs9ol8/bXqUSDE3e9s6M0E0nhLiHkvWpAVUp5ZBfwu45fD3AAXM/YapS3hvXlMR8DzfaTNTPVq7EZNg7eAcRP1fPwN8tLSXPWwqGSTtUdwSjZRtNKFfSlaUkM1Ef97bzgyVfouxozZKjtKU9edtchG9kS7trX9oW5TQaUVG77eRG1jnWOeAvqFpSUW/Rhf77tvDoSa8jxRNQkYSjL673YSnl1kGf1DVGCZO3L8Tgxvfg8Y/33Hcq4iPo0xFCDN5BeIMNgcY9eDjqagDxc2rRfcQh3roQJPIl/B6NxfEgmdLg6xq3NnKsZ4pq3Sh++G5FKZXHaFfRdLq9xtQvR+cw4w2rwJuDLmfgzAwSdyDUOeev8/vs78kfU4X6PB1KsR9mdK/6cdeMjh9ps0K6UOGyf0NVmFx8d8/9fYZGrqSSPAfuoIoZ5bKZfWrXxqhZjqZ+nzoFuBwl8BHdwEIIpsI+zkyGyJQGX9dImxW+cWuTXLFKoVLjR9+xOOLR/05eWEqyMB5sKKUPQ339YrRu1Edi7in1c9A466zmkINzw6/U9jXP0ezQixlAqmd6f9pvCCGuNP39GSnlZ9r2kcAfCiEk8K87/H/fONbG6EFSRdJdqtolp/sYo6RZ5t5WnrOTQ4y4zC3lspl6fLfNxO/RuTwf47XldEPloJBSeSzph8rHfuYDuz7+o3B+Oowm4IkTsaHWNRJmmdmoD288iOUoPR8yY1Sz5OClBNop22HuufX+RewOK7WqEhf1RXadsL0rtF12S47qRdlUOXjhmV1Fr46OfVfgH2QN6H1SyhUhxDTwZSHEdSnl1/erQc0cweHD3uGEdS/krtpJe70j6a4+VBVdHTHFgRC7HOW1MRb08PTiGD7DKRR2H9ZfZ9Sh3RMhL68up0kVykMlX8aDXnyGjiXl6KLE+lCuWiwnC8N933XsjmWEeWCPzOY1ePD8gCXK95DdRpNZFjy4Ane+phQXao+QHzYKYrY24gifZynliv26AfwuMKAMx6NzlIYNe84D2xhFt15Q9VN6TI2d5ENLqgX3QRfp6y6HlZfgsY/tqp2VmsXrK2kW48HGzKilntHobt7VTJFaTdplLQbnUESJDUixUhs6h4rgRKOE9FGltHeaikNheNWsxpldDoqZgFf/E2hesMpw8n1Kkf2oUM5DbnOA0h77gxAiBGhSyqz9+58C/v5Bnf9YG6P7CZPTgSL69k14+4/33DdhllmMBwh49EYBsUE60D3IGZASkvkKQhSYCvvsnJzm0O7RTXCv3E2QK1V5kuEXuUcfJTYYuyoh4URE7dbldJgYxUh9N2tthaSaHYXGILumSpfHTuxL8/acQhJe+y9KsUPWBivtsffMoJS3QdmG/yil/NJBnfwt8KTsnqVtkx8I31RR9U7J3y7Eg17CPoPasG6lPRgZO89kIldu2zhaBYa0WeGF+8l6ePbAs8UjwljQQ8qs7G5eULO/q/0sC/5WRvcMF0kHEJ4Ej18ZIk2DwJDvHyVmQs3idG9DP++AjZGU8g7w9IGetIlja4yklFxbzfA3Ii+rUNCF3q7RXbuVAnEITkIx9chthvZ6Rti1T0bT4SXMMqcngkxH/STN8qEMQngUzk6FeXEpubuZUSGpXo9qJN2oyW8OP+MPjMPFH1AlO3wRCB68q2vXBONKxkhaw9d/eouwr8ZICPEDwD9HacD/P1LKX2n7/4eAzwF37U3/VUp5ID7KtUyRRL7IZf15uPjRgaJuduVW0g2VzDZAyeNudOzOxk/b8vpSjaJG4GeOB734PTpJs3xogxAeFUMXu8sz8kXU6+gTGHdPyB5EjWLdpZBQ8jix+eHu69iCEiZefPdAxfQODY9S/+ktwr4ZIyGEDvwq8CeBh6iytJ+XUr7Rtus3pJSf3K92dOO15QxPirsEygm48Kf370TVskpOjZ/d9SE6jsy9QSiU4OrvqImRbhy4n/koBSHshhvrWcaDXmKBXXyuUlapbhSS6rs6ikxeGEircc/pUmNqIMbPqGftKM5Id1v/6S3Cfq58vwu4JaW8I6UsA78JfGofzzcUry2n+Yj+EhIB5z+6fyeqlVWn9AjVGzVNMDfmb41YK6Rg/Q3YvqUih/rUadkvdlVP5wixKwdoIQmv/jasXlWvjsvuqFEpquiuWvVgz2smlHrC1MXh72tNU16I5FIjIdzlSLCfxmgeeND090N7WzvfJ4R4RQjx+0KIJzodSAjxc0KIK0KIK9Xq3jwYr6+k+YjvOmL+2eEXSofBCWDIbTzSYc5MhnhyviliLbeu6rZI2013TP3M+0muWGUrW6JYqfXfuRkzAcEx5eby+EcySNgTNq/B8pVGXaCDIhiH+Bm1mL+b+3rpW6pKrMuRYj/XjDrNk9sHmi8Cp6SUOSHEx4H/BuzwC9iSFJ8BCIVCe7Ja/9rDNOfkQ5j9kb04XHec0O7sKvD2XR/m6sM08+OBphmIUOsRi+9UUUPzzxzrKf5+Yg0bEReMgzeiRvdHeZCQ22y4GgNjB3feR10/KeeUm7SYPlpBDMec/TRGD4HFpr8XgJXmHaSUmabfvyiE+FdCiMn9VozdzJaoZDcI+TMDFdN7JPYo6TFbrLKaLrIwbq8/OD5xb3jvyj27dGToaLq3wmJ0IQn3v63cwZUCvP0nDvZz7Hb9pJCEh1fskuNDrje5jJT9dNN9D7gghDgjhPACPwZ8vnkHIcSssGOVhRDvstuzveNIe8zrK2nOC9suTnUvM74n7GFCamvJ6ea6Em+9KLbDQND3CAOJwPjRHiSYCZU2sPCcEiA9Kq5GM6GCGE6+e2TrqC67Y99mRlLKqhDi54E/QIV2f1ZK+boQ4q/Y//814M8Cf1UIUQUKwI9Juf9ZgtfXspzXltUf+z0zEkJ1SNU91slyRuuTFxsK3i57yuJ4kDfXsrvLMzrqBOMq8bRaPFquxmDcFkvNH612u+xvnpGU8ovAF9u2/VrT7/8S+Jf72YZOXFvN8F7/OmghlZew3+geFd69l8QWIDyt3HTHsbM8IDyGtruy40edo+pqPKrtdjmeCgzXV7P8rGcNxi8cTEeueSC4x4mDTqh4xVSBDK5B2nM2cyUCHh1DP6bi9kc17+WotvuYc+yeslK1xu3NHCethzC1zy46h0JSuTsegZolsZCNdaNiGu5+A+5+3dU/2ycESjbKxcVl/zl2M6PbG3m8VoFoef3gssvzG5C4B+OndjViS5sVVtIFpJRsZUtKkLSYAMs2TEexquURYLtZmNbFxWVfOXbG6NpqhnNOJN1+By9Am7SJtatQ04RZxtAFc9Egq5mCEiTVbbfcUdLfcnFxcenCsRtSX1/L8A7jjvpj9sn9P6GZUDVtonO7DjWNB73oQrCaKTQJktrG6CDLQbu4uLjsE8duZnR9Lcv/GrgFvjmlfL3fBOMw9fgjScN3FCQtu8Zov/EYGpWqq2/m4nIQHDtjdH87z1PWG3DygwcTgbZHoaY7y1fYbR87+chNdOlMwKOxni6SNitvWSFYF5fDwrEyRlJKPNmHjOtbcOq9B3fi/Qg1jcwpIU7Dv7fHdQFU0Mi3b2+TK1WpWtZbroqti8th41itGeXLNZ6uva7+OEhjtB8ITWmG1Sr993UZmoRZJh728u4zE9SkJGG6kXUuLvvJsTJGG5ki79SuU/ZEYepto27Oo5HfhAfPQ2Z51C15S9I5aMTFxWW/OFZuuo1siae12+SmniF+1HNzkneVvH/kxKhb8pbkrV7F1sXlsHG8jFGmyFNig9LkPpYZPwgKSbj1FchvKYn/8ZOu/Mk+sDNoxMXFZb84VsYou7VMUJRg6uyom/JomAkITkB4plHp1TVGLi4uR5hjZYxqibsABGbOj7glj4gjky8tVbzPlcl3cXE54hwrY6Sn7gEgxs+MtiGPiiuT7+Li8hbjWBkjf+4BFgLtrZAo6srku7i4vIU44iFlwxEtPCSlT4LHTRR1cXFxOUwcK2M0WVkh7Z8fdTNcXFxcXNo4NsaoXLU4IdcxQ4ujboqLi4uLSxvHxhhtJZPMiBS1sVOjboqLi4vLoUQI8QNCiDeFELeEEL90kOc+NsYovXILAC1+xHOMXFxcXPYBIYQO/CrwMeAS8ONCiEsHdf5jY4yKG7cB8E+fG3FLXFxcXA4l7wJuSSnvSCnLwG8Cnzqokx+50G7TNKUQorDLtxv8nx+u7mmD9g4DOIxtc9s1HIe1XXB42+a2azh2266AEOJK09+fkVJ+punveeBB098PgXfv4jy74sgZIynlrmdzQogrUsrn9rI9e8VhbZvbruE4rO2Cw9s2t13DsY/t6lRtVO7DeTpybNx0Li4uLi49eQg0hxsvACsHdXLXGLm4uLi4AHwPuCCEOCOE8AI/Bnz+oE5+5Nx0j8hn+u8yMg5r29x2DcdhbRcc3ra57RqOfWmXlLIqhPh54A8AHfislPL1/ThXJ4SUB+YSdHFxcXFx6YjrpnNxcXFxGTmuMXJxcXFxGTnHxhiNUuairR2LQoivCiGuCSFeF0L8DXv73xNCLAshXrZ/Pj6Ctt0TQly1z3/F3hYXQnxZCHHTfj3wuhVCiMearsvLQoiMEOJvjuKaCSE+K4TYEEK81rSt6zUSQvzv9j33phBi3+rdd2nXPxFCXBdCvCqE+F0hxJi9/bQQotB03X7tgNvV9Xs7qOvVo22/1dSue0KIl+3tB3LNevQPI7/H9h0p5Vv+B7UYdxs4C3iBV4BLI2rLHPCs/XsEuIGS3vh7wC+O+DrdAybbtv1j4Jfs338J+EeH4LtcA06N4poBHwSeBV7rd43s7/UVwAecse9B/QDb9acAw/79HzW163TzfiO4Xh2/t4O8Xt3a1vb/fwr8Hwd5zXr0DyO/x/b757jMjEYqc9GMlHJVSvmi/XsWuIbKfD6sfAr4dfv3Xwc+PbqmAPD9wG0p5dIoTi6l/DqQaNvc7Rp9CvhNKWVJSnkXuIW6Fw+kXVLKP5RSOpn630HljRwoXa5XNw7sevVrmxBCAH8O+E/7df4uberWP4z8Httvjosx6iRzMXIDIIQ4DTwDPG9v+nnbpfLZUbjDUNnWfyiEeEEI8XP2thkp5SqoBwWYHkG7mvkxWjuIUV8z6H6NDtN9978Av9/09xkhxEtCiK8JIT4wgvZ0+t4O0/X6ALAupbzZtO1Ar1lb/3AU7rFH4rgYo5HKXHRCCBEG/gvwN6WUGeD/Bs4BbwdWUS6Cg+Z9UspnUaq9f00I8cERtKErdiLeDwG/bW86DNesF4fivhNC/DJKy+w/2JtWgZNSymeAXwD+oxAieoBN6va9HYrrZfPjtA56DvSadegfuu7aYduRzNc5LsZopDIX7QghPKgb7T9IKf8rgJRyXUpZk1JawL9hBFNtKeWK/boB/K7dhnUhxJzd7jlg46Db1cTHgBellOtwOK6ZTbdrNPL7TgjxU8AngZ+U9iKD7dLZtn9/AbXOcPGg2tTjexv59QIQQhjAjwC/5Ww7yGvWqX/gEN9je8VxMUYjlbloxvZF/7/ANSnlP2vaPte02w8Dr7W/d5/bFRJCRJzfUYvfr6Gu00/Zu/0U8LmDbFcbLaPVUV+zJrpdo88DPyaE8AkhzgAXgO8eVKOEED8A/B3gh6SUZtP2KaFq1yCEOGu3684Btqvb9zbS69XER4HrUsqHzoaDumbd+gcO6T22p4w6guKgfoCPoyJTbgO/PMJ2vB81jX4VeNn++Tjw74Cr9vbPA3MH3K6zqKicV4DXnWsETABfAW7ar/ERXbcgsA3EmrYd+DVDGcNVoIIalf5Mr2sE/LJ9z70JfOyA23ULtZ7g3Ge/Zu/7Z+zv+BXgReAHD7hdXb+3g7pe3dpmb/+3wF9p2/dArlmP/mHk99h+/7hyQC4uLi4uI+e4uOlcXFxcXA4xrjFycXFxcRk5rjFycXFxcRk5rjFycXFxcRk5rjFycXFxcRk5rjFycemDEGJMCPG/2b+fEEL8zqjb5OLyVsMN7XZx6YOtEfZ7UsrLo26Li8tbFWPUDXBxOQL8CnDOrm1zE3iblPKyEOKnUerJOnAZpbHmBf4iUAI+LqVMCCHOAb8KTAEm8LNSyusH/SFcXA4zrpvOxaU/v4QqW/F24G+3/e8y8BMofbV/AJhSiWl+G/hL9j6fAf66lPIdwC8C/+ogGu3icpRwZ0YuLo/GV6WqO5MVQqSB/25vvwo8Zasvvxf4bSU7BqhCaC4uLk24xsjF5dEoNf1uNf1toZ4vDUjZsyoXF5cuuG46F5f+ZFEloIdGqlo0d4UQPwpKlVkI8fReNs7F5a2Aa4xcXPogVR2bPxZCvAb8k10c4ieBnxFCOIroIyl57+JymHFDu11cXFxcRo47M3JxcXFxGTmuMXJxcXFxGTmuMXJxcXFxGTmuMXJxcXFxGTmuMXJxcXFxGTmuMXJxcXFxGTmuMXJxcXFxGTn/P7TdC1HYBXP4AAAAAElFTkSuQmCC\n"
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
}
|
|
}
|
|
],
|
|
"source": [
|
|
"fig, ax1 = plt.subplots()\n",
|
|
"\n",
|
|
"ax2 = ax1.twinx()\n",
|
|
"ax1.plot(time, np.sum(mimo_noisy, 1), '.--', alpha=.3)\n",
|
|
"ax2.plot(time, mimo_noisy_response)\n",
|
|
"\n",
|
|
"ax1.set_xlabel('time')\n",
|
|
"ax1.set_ylabel('Tokens Staked')\n",
|
|
"ax2.set_ylabel('Conviction Accumulated')\n",
|
|
"\n",
|
|
"plt.title('Conviction and tokens staked for proposals 0 and 1')\n",
|
|
"\n",
|
|
"\n",
|
|
"ylim= ax1.get_ylim()\n",
|
|
"ax2.set_ylim(0, ylim[1]/(1-alpha))"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 85,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"output_type": "execute_result",
|
|
"data": {
|
|
"text/plain": "Text(0.5, 1.0, 'Support for Proposal 1')"
|
|
},
|
|
"metadata": {},
|
|
"execution_count": 85
|
|
},
|
|
{
|
|
"output_type": "display_data",
|
|
"data": {
|
|
"text/plain": "<Figure size 432x288 with 2 Axes>",
|
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\n"
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
}
|
|
},
|
|
{
|
|
"output_type": "display_data",
|
|
"data": {
|
|
"text/plain": "<Figure size 432x288 with 2 Axes>",
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\n"
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
}
|
|
}
|
|
],
|
|
"source": [
|
|
"fig, ax1 = plt.subplots()\n",
|
|
"ax2 = ax1.twinx()\n",
|
|
"\n",
|
|
"pd.DataFrame(mimo_noisy[:,:,0], columns = ['participant 0', 'participant 1', 'participant 2']).plot(kind='area', alpha = .5, cmap = 'cool', ax=ax1)\n",
|
|
"ax1.plot(time, np.sum(mimo_noisy[:,:,0],1), 'k-.', alpha=.5)\n",
|
|
"plt.xlabel('time')\n",
|
|
"plt.ylabel('stake')\n",
|
|
"plt.title('step_up tokens staked for proposal 0')\n",
|
|
"\n",
|
|
"ax2.plot(time, mimo_noisy_response[:,0], 'k')\n",
|
|
"ylim= ax1.get_ylim()\n",
|
|
"ax2.set_ylim(0, ylim[1]/(1-alpha))\n",
|
|
"\n",
|
|
"plt.xlabel('time')\n",
|
|
"ax1.set_ylabel('tokens staked')\n",
|
|
"ax2.set_ylabel('conviction')\n",
|
|
"plt.title('Support for Proposal 0')\n",
|
|
"\n",
|
|
"fig, ax1 = plt.subplots()\n",
|
|
"ax2 = ax1.twinx()\n",
|
|
"\n",
|
|
"pd.DataFrame(mimo_noisy[:,:,1], columns = ['participant 0', 'participant 1', 'participant 2']).plot(kind='area', alpha = .5, cmap = 'cool', ax=ax1)\n",
|
|
"ax1.plot(time, np.sum(mimo_noisy[:,:,1],1), 'k-.', alpha=.5)\n",
|
|
"plt.xlabel('time')\n",
|
|
"plt.ylabel('stake')\n",
|
|
"plt.title('step_up tokens staked for proposal 1')\n",
|
|
"\n",
|
|
"ax2.plot(time, mimo_noisy_response[:,1], 'k')\n",
|
|
"ylim= ax1.get_ylim()\n",
|
|
"ax2.set_ylim(0, ylim[1]/(1-alpha))\n",
|
|
"\n",
|
|
"plt.xlabel('time')\n",
|
|
"ax1.set_ylabel('tokens staked')\n",
|
|
"ax2.set_ylabel('conviction')\n",
|
|
"plt.title('Support for Proposal 1')"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
}
|
|
],
|
|
"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": "3.7.5"
|
|
}
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 2
|
|
} |