diff --git a/models/v3/Deriving_Alpha.ipynb b/models/v3/Deriving_Alpha.ipynb deleted file mode 100644 index 0d58a3b..0000000 --- a/models/v3/Deriving_Alpha.ipynb +++ /dev/null @@ -1,993 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Introduction to Dynamical Systems\n", - "### Reference Case Conviction Voting\n", - "\n", - "## A Brief Intro\n", - "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" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Canonical Forms\n", - "\n", - "Canonical forms use $x_t$ for the state of the system, and $u_t$ to describe inputs from external systems.\n", - "\n", - "Continous-time Non-linear Dynamical System:\n", - "\n", - "$\\dot x_t = f(x_t, u_t)$\n", - "\n", - "Continuous-time Linear Time Invariant (LTI) Dynamical Systems:\n", - "\n", - "$\\dot x_t = A x_t + B u_t$\n", - "\n", - "Discrete-time Non-linear Dynamical System:\n", - "\n", - "$x_{k+1} = f(x_k, u_k)$\n", - "\n", - "Discrete-time Linear Time Invariant (LTI) Dynamical Systems:\n", - "\n", - "$x_{k+1} = A x_k + B u_k$\n", - "\n", - "For cases where the discrete time system can be embedded directly in a continuous time, the time indexes can be mapped directly:\n", - "\n", - "|**Time Index Mapping Table 1** |\n", - "| ---: | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- |\n", - "| **discrete-time** | $0$, | $1$, | ,$\\ldots$, | $k-1$, | $k$, | $k+1$, | $k+2$, | $\\ldots$|\n", - "| **continuous-time** | $0$, |$\\Delta t$ | ,$\\ldots$, |$t-\\Delta t$, | $t$, | $t+\\Delta t$, |$t+2\\Delta t$, |$\\ldots$| \n", - "\n", - "For systems comprised of discrete events with strict ordering (eg state machines), we have any mapping that respects the order\n", - "\n", - "|**Time Index Mapping Table 2** |\n", - "| ---: | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- |\n", - "| **discrete-time** | $0$, | $1$, | ,$\\ldots$, | $k-1$, | $k$, | $k+1$, | $k+2$, | $\\ldots$|\n", - "| **continuous-time** | $t_0$, |$t_1$ | ,$\\ldots$, |$t_{k-1}$, | $t_k$, | $t_{k+1}$, |$t_{k+2}$, |$\\ldots$| \n", - "| **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", - "\n", - "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" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Translating the Simplified Conviction Voting Example\n", - "\n", - "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", - "\n", - "$y_{t+1} = \\alpha y_t + x_t$\n", - "\n", - "| Term | Canonical Notation | Defintion| Alternative notation|\n", - "| :--:| :--: | :--:| :--: |\n", - "| Conviction | $x_k$ | the accumulated support for the proposal at epoch $k$ | $y_t$|\n", - "| Support | $u_k$ | the number of tokens staked in support of the proposal at epoch $k$| $x_t $ |\n", - "\n", - "Expressed in the Canonical form we have:\n", - "\n", - "$x_{k+1} = A x_k + B u_k$\n", - "\n", - "with $A = \\alpha$ and $B=1$, yielding\n", - "\n", - "$x_{t+k} = \\alpha x_k + u_k$\n", - "\n", - "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" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Properties via the Simplified Example\n", - "\n", - "A one dimension Discrete-time LTI systems with initial condition $y_0$\n", - "\n", - "$y_{t+1} = \\alpha y_t + x_t$\n", - "\n", - "which can also be expressed as\n", - "\n", - "$y_{t+1}-y_t=\\Delta y_t = -(1-\\alpha) y_t + x_t$\n", - "\n", - "and as\n", - "\n", - "$y_T = y_0 +\\sum_{t=0}^{T-1} \\Delta y_t = \\alpha^T y_0 + \\sum_{t=0}^{T-1} \\alpha^t \\bar x$ 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", - "\n", - "$\\hat y(x) = \\lim_{T\\rightarrow \\infty} \\left( \\alpha^T y_0+\\sum_{t=0}^{T-1} \\alpha^t x\\right) = \\frac{x}{1-\\alpha}$ using geometric series.\n", - "\n", - "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", - "\n", - "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", - "\n", - "Clearly, this expression goes unstable when $\\alpha =1$, in which case conviction does not decay and our algorithm diverges. Consider the sum over time to see the instability:\n", - "\n", - "$\\lim_{T\\rightarrow \\infty} y_T \\ge \\lim_{T\\rightarrow \\infty} \\sum_{t=0}^{T-1} \\bar x = \\infty$\n", - "\n", - "for strictly positive values $x_t\\ge \\bar x >0$ as $T\\rightarrow \\infty$.\n", - "\n", - "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 at the current timestep. 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", - "![](https://i.imgur.com/JemMMlo.png)\n", - "\n", - "The leaky bucket analogy also helps us understand $\\alpha$ in terms of its relationship 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", - "\n", - "$y_{t+1} = \\alpha y_t$ \n", - "\n", - "which is equivalent to \n", - "\n", - "$y_T = \\alpha^T y_0$\n", - "\n", - "The half-life of this system is defined by $T$ such that $y_T = y_0/2$ which satisfies the equation\n", - "\n", - "$\\frac{1}{2} = \\alpha^T$\n", - "\n", - "thus the Half life in epochs for a given $\\alpha$ is\n", - "\n", - "$T = \\log_\\alpha \\frac{1}{2} = -\\log_\\alpha 2$\n", - "\n", - "and conversely the $\\alpha$ which achieves a desired half-life $T$ is\n", - "\n", - "$\\alpha = 2^{-1/T} = \\frac{1}{\\sqrt[T]{2}}$\n", - "\n", - "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" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "metadata": { - "tags": [] - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "0.9057236642639067\n", - "0.9958826236582974\n" - ] - } - ], - "source": [ - "#consider a desired half life of 7 periods (day)\n", - "# then alpha is given by\n", - "alpha = 2**(-1/7)\n", - "print(alpha)\n", - "#note that if the implementation has epochs of such that there are 24 updates per period (day)\n", - "#then the implementation alpha would be\n", - "alpha = 2**(-1/(7*24))\n", - "print(alpha)" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [], - "source": [ - "import numpy as np\n", - "import matplotlib.pyplot as plt\n", - "\n", - "alpha=.9\n", - "\n", - "time = np.arange(0,200,1)\n", - "\n", - "K = len(time)\n", - "\n", - "step_up = np.zeros(K)\n", - "step_down = np.ones(K)\n", - "noisy = np.random.rand(K)\n", - "\n", - "for k in range(K): \n", - " if k>K/2:\n", - " step_up[k]=1\n", - " step_down[k]=0\n", - "\n", - "step_up_response = np.empty(K)\n", - "step_up_response[0]=0\n", - "\n", - "step_down_response = np.empty(K)\n", - "step_down_response[0]=0#1/(1-alpha)\n", - "\n", - "noisy_response = np.empty(K)\n", - "noisy_response[0] = 0\n", - "for k in range(K-1):\n", - " step_up_response[k+1] = alpha*step_up_response[k] + step_up[k]\n", - " step_down_response[k+1] = alpha*step_down_response[k] + step_down[k]\n", - " noisy_response[k+1] = alpha*noisy_response[k] + noisy[k]" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "Text(0.5, 1.0, 'Comparing Single Token Staked to Conviction Accumulation Over Time')" - ] - }, - "execution_count": 3, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "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')\n", - "plt.title('Comparing Single Token Staked to Conviction Accumulation Over Time')" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "Text(0.5, 1.0, 'Comparing Single Token Unstaked to Conviction Decay Over Time')" - ] - }, - "execution_count": 4, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "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')\n", - "plt.title('Comparing Single Token Unstaked to Conviction Decay Over Time')" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "(0.0, 10.480907796413126)" - ] - }, - "execution_count": 5, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "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", - "plt.title('Comparing Multiple Tokens Staked to Conviction Accumulation Over Time')\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 choose their 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 and allowed by the system.\n", - "\n", - "Suppose participant $i$ has $h_t[i]$ tokens at time $t$, then they may choose to stake them across 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": 6, - "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": 7, - "metadata": {}, - "outputs": [], - "source": [ - "\n", - "mimo_step_up_response = np.empty(shape=(K,m))\n", - "mimo_step_up_response[0,:]=0\n", - "\n", - "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": 8, - "metadata": {}, - "outputs": [], - "source": [ - "\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)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Test Series 1: Filling up the Proposal Support Tank\n", - "\n", - "A set of tests where the participants start supporting proposals, but their support starts at different times\n", - "- Plot series 1: granular input signals (tokens staked) from 3 participants\n", - "- Plot series 2: granular input signals (tokens staked) with outputs (conviction accumulated) from 3 participants\n", - "- Plot 3: aggregate inputs (tokens staked) with outputs (conviction accumulated) for multiple proposals" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "Text(0.5, 1.0, 'step_up tokens staked for proposal 1')" - ] - }, - "execution_count": 9, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "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('total tokens staked')\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('total tokens staked')\n", - "plt.title('step_up tokens staked for proposal 1')" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "In plot series 1 above, we can see the cumulative effect of multiple participants staking tokens on proposals, without the half life decay factor. Participant 2 stakes 3 tokens towards proposal 0 and 6 tokens towards proposal 1 around timestep 80, followed by participant 1 and participant 0 with their own staking amounts for each proposal at later timesteps." - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "Text(0.5, 1.0, 'Support for Proposal 1')" - ] - }, - "execution_count": 10, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "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('total tokens staked')\n", - "ax2.set_ylabel('conviction accumulated')\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('total tokens staked')\n", - "ax2.set_ylabel('conviction accumulated')\n", - "plt.title('Support for Proposal 1')" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "In plot series 2, we add the output of participant staking (i.e. conviction accumulated) to our plots to show the impact of the time delay introduced by the half life decay parameter $alpha$." - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "Text(0.5, 1.0, 'Conviction and tokens staked for proposals 0 and 1')" - ] - }, - "execution_count": 11, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "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')" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "In plot 3, we compare tokens staked and conviction accumulated for both proposals 0 and 1 that were examined above." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Test Series 2: Emptying Out the Proposal Support Tank\n", - "\n", - "A set of tests where the participants stop supporting a proposal but their support stops at different times\n", - "- Plot series 4: granular input signals (tokens unstaked) from 3 participants\n", - "- Plot series 5: granular input signals (tokens unstaked) with outputs (conviction decay) from 3 participants\n", - "- Plot 6: aggregate inputs (tokens unstaked) with outputs (conviction decay) for multiple proposals" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "Text(0.5, 1.0, 'step_down tokens staked for proposal 1')" - ] - }, - "execution_count": 12, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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Tpnykn/hOO+0Uafm33nor77zzDgsXLqS6upqampqm8jt37ty0bjabZfPmze2Wseeee7J69Wr69OnD6tWr2WOPPYq2O9J+8Kq6SFVrVfVgVf2sqq6NrjD/317dSgbVwNa4jTDSwhtvvMHTTz8NwG233cbIkSObxLR3795s3LiRu+++u9Xtu3fvzoYNG3aYP3jwYFavXs38+fMB2LBhA/X1O443PmvWLLZs2cKaNWuYO3cuI0aMYP369eyxxx5UV1czZ84cXn+91ay97doBcPrpp3PzzTcDcPPNNzNmzJh299ce6eqpbB58csjietE0+O9GahhAaXu+hOk7N3jwYK699lq+/vWvc+CBB/Ltb3+bbt26MXHiRIYNG8Zee+3VFGZpiTPOOIOJEydyzTXXfOSHoFOnTtxxxx2cf/75bN68ma5du/Loo4/usP3BBx/MMcccw7vvvssPf/hD+vbty/jx4znttNM46KCDqK2t5YADDmj3OCZMmMC3vvWtFhtZJ0+ezJe+9CVuuOEG9tlnH+68884QNdM2iRqTtba2Vgse8OMJ4Apgf2C3EhplFMYSYDkwF+gSrylGcSxdupQhQ4bEVn5dXR2jR49m8eLFsZQ/ZcoUdt55Zy666KJYys+lpXMhIgtVtcU+nekJaFgja7LI4M5HdK+2GYbRDukJ0QQPIibwySALNALb4zbEqHRqampi897BefCVinnwRjQEAm8evGHERroE3kgOWdw5sa6ShhEb6RN48+CTQSDwm+I2xDA6LukTeCMZBF0jTeANIzaskdWIhkDgLX1z6pjzOKxfX7r99ewJxxxbuv21RCWkC77rrruYMmUKS5cu5dlnny1JNsv0CbyRDIJuku2/oW1UGOvXQ69epdvfunWl21dLVEq64GHDhnHvvffyzW9+s2TlpS9EYx58MrAQjVEi6urqOOCAAxg/fjxDhgxh7NixbNrkLqypU6cyYsQIhg0bxqRJk5qyOY4aNYoLL7yQ2tparrzySmbPns3FF1/M8OHDee2115gwYULTG63z58/nqKOO4pBDDuHwww9nw4YNzJ07l9GjRwOum+RZZ53FkUceyX777ccf/vAHADZu3Mhxxx3HoYceykEHHcSsWbOa7B0yZAgTJ05k6NChnHjiiWzevJm77767KV3w8OHDd8hPM2TIEAYPHkwpSZfAmxefHEzgjRLSEdIFR0G6BB7Mg08KWdy5sBi8UQI6WrrgUmExeCMaAoFvOXGeYeRFR0gXHAXp8uDtTdbkkMVdXebBGyWgI6QLjgLz4I1oyOB+bC0Gnzp69ixtz5eePdtfpyOkC545cybnn38+77zzDqeeeirDhw/n4Ycfbr9y2iA96YLvB/4XOAzoVkKjjMJQ4CFgBPDbmG0xisLSBVu64PixXjTJQnDPh+bBG0ZspCdEYySPLJZszCgaSxdcOOny4MEaWZNEFfYmq2HESPoE3kgONvC2YcRKugTeukkmiyosRGMYMZIugTeSRTVuRCc7N4YRC+lpZLUYfPLIAg1APU7sjXTwI+CNEu5vANB2cseiqYR0wRdffDH3338/nTp1YtCgQdx00030KjJtZ7o8ePMUk0UwqpONy5ou3gBqSvgp5Y9FCwTpgl966aWmeVOnTm1V3MGlCy61uIMT+FWrVrW47IQTTmDx4sW88MIL7L///vz85z8vurxIBV5E6kTkRRFZJCIFvsEUEvPgk0cw8Pb2uA0xKpmOki74xBNPbEp0dsQRR7BixYqi664cHvwxqjq8tTetSoZ578kjEHjz4I0i6Wjpgm+88UZOPvnkouvNYvBGdAQC/ziwe8y2FMMewEFxG9GxaZ4u+JprruGiiy5izpw5XHXVVWzatIn33nuPoUOHctpppwGFpwtuiSBdcNeuXZvSBZ966qlceumlPPHEE2QymZKlC77iiiuoqqpi/PjxobdpjagFXoG/iYgC16vq9OYriMgkYBLAgAEDiivJvPhksTPunFzPhwOAVCKdgD8DLd/7RhnoKOmCZ8yYwQMPPMBjjz22Q5mFELXAj1TVlSKyB/CIiLysqk/kruBFfzq4ZGMFl2QefPLYHfgMlf2y03LgVWA9JvAxEqQLPvLII9tMFzx27NgWtw+TLnjEiBFs2LChxdDJrFmzuOSSS/jggw+YO3cu06ZN46677ippuuCHHnqIq666innz5tGtW2kyJkYq8Kq60v9/W0RmAocDT7S9VaGFRbJXo1i6+E+lshbXUmUNxR8yAKgr8f7aoSOkCz7vvPPYunUrJ5xwAuAaWq+77rr2K6cNIksXLCI7ARlV3eC/PwJMVdWHWtumqHTBt+JCAZ+mssMBRrJ4A/g/XIimtOMhVwyWLrhy0wVH6cHvCcz0caQq4La2xL1ozIM3oiAI+ZkHb1QgkQm8qv4bOCSq/e9YIJaLxig9wfVkXT1jw9IFF0663mQ1jFIT3CE7DtPZoUjSyG8dlULOQboE3jx4o9SYB0+XLl1Ys2aNiXyMqCpr1qyhS5f8eiyk50Unw4iCwAXqwDH4fv36sWLFCt555524TenQdOnShX79+uW1TXoE3pwLIwoCD74Dh2iqq6sZOHBg3GYYBZCeEE2j/28hGqOUCM556MAevFG5pEvgTdyNUmMhGqOCSY/AW4jGiALrB29UMOkR+Mb2VzGMvLFukkYFkx6Bty6SRhQE11QlJ0wzOizpEXjz4I0oyOBEvgP3gzcql3QJvHnwRqmxF52MCiY9Am+NrEYUiP9YI6tRgbT6opOIHNrWhqr6XOnNKQLz4I0osBCNUcG09Sbrr/z/LkAt8DzuUj8YWAAcGa1peWKNrEYUBB68CbxRgbQaolHVY1T1GGA1cKiq1qrqYcDHgZXlMjA0FqIxoiC4Q0zgjQokTAx+sKq+GEyo6mIgvuFdWsN60RhRYDF4o4IJk2zsBRH5I/AnPz0eeCE6kwrEQjRGFJjAGxVMGIH/GvBt4AI//QTw+8gsKhTz4I0osFw0RgXTrsCr6hYRuQ74i6ouK4NNhWEevBEF5sEbFUy7MXgROR1YBDzkp4eLyOyoDcsb8+CNKBDcXWK5aIwKJEwj64+Bw4F1AKq6CEhe9n/z4I2oyGAevFGRhBH47aq6vtm85HVKDMZkNYxSYwJvVChhGlmXiMiXgayI7Ad8F3gqWrMKwDx4IyoEC9EYFUkYD/58YCguYeptwPt82KMmOVgM3oiKLCbwRkUSRuDPVNXLVHWE/1wG/CRqw/LGPHgjKqyR1ahQwoRoviAiW1T1VgAR+S3QNVqzCsCSjRlRYQJvVCihBB6YLSKNwEnAOlU9J2wBIpLFJSdbqaqjCzMzBNbAakSFCbxRobQaohGRXUVkV5y3/g3g+8AG4Cd+flguAJYWZWUYLAZvREUGaIjbCMPIn7Y8+IV8GNkO/p/qPwrs297ORaSfX/8K4L+LNbZNLAZvRIV58EaF0qrAq2opXmb6X5zn3721FURkEjAJYMCAAYWXZCEaIyqymAdvVCRhYvCIyDDgQNzgHwCo6i3tbDMaeFtVF4rIqNbWU9XpwHSA2trawmXaGlmNqAhCNPaUaFQY7Qq8iPwYGIUT+L8AJwNPAm0KPPBJ4HQROQX3w9BDRP6kql8pyuLWsJvPiIqgpaoR580bRoUQph/8WOA44E1V/RpwCNCzvY1U9RJV7aeqNcAZwOORiTtYiMaIDsGJu4VpjAojjMBvVtVGoF5EegBvA/2jNasArBeNERXBXWICb1QYYWLwC0SkF/AHXM+ajcDT+RSiqnOBufkalxcWojGiIuhHZgJvVBhhBvw413+9TkQeAnqoajKH7DOMKAgcBxN4o8IIM+DHY8F3Va1T1Rdy5yUGC9EYUZHBYvBGRdKqBy8iXYBuQG8R2YUP/ZgewN5lsC08gfduIRojCoIQjTkRRoXRVojmm8CFQF9c7D2Qz/eB30ZsV37YYB9GlGSwGLxRkbT1JuvVwNUicr6q/qaMNhlGsrBGVqNCCdNN8k0R6Q4gIj8QkXtF5NCI7coP8+CNKDGBNyqUMAL/Q1XdICIjgeOBG4DfR2tWnpi4G1ES3CWWcMyoMMIIfOC3nApMV9UHgU7RmVQAgQdvjaxGFATX1bZYrTCMvAkj8CtF5HpgHPAXEekccrvyYR68ESXB1b49VisMI2/CCPWXgIeBz6jqOmBX4OJIrcoX8+CNKAli8CbwRoUR5k3WTcC9OdOrgdVRGpU35sEbUWIxeKNCSVaopVCsF40RJRaDNyqU9Ag8WIjGiIbgurIQjVFhhMlFs5OIZPz3/UXkdBGpjt60PDAP3ogSa2Q1KpQwHvwTQBcR2Rv4G3AWMCNKo/LGPHgjSsyDNyqUMAIvvqH188DvVPWLwNBozcoT896NKAly0Vgjq1FhhBJ4ETkSGA886Ocla2RKC9EYUWIevFGhhBH4C4BLgJmqukRE9gXmRGtWnpi4G1Fi/eCNCiVMP/gncHH4YPrfwHejNCpv7EUnI0oyuGvLBN6oMNoVeBHZH7gIqMldX1WPjc6sPDEP3ogS8Z+tcRtiGPkRZtDtu4DrgD+S1ISpFoM3oiQIZNqLTkaFEUbg61U1WemBm2PibkRJ4MGbwBsVRphG1vtF5FwR6SMiuwafyC3LFxN5IyosBm9UKGE8+LP9/9wMkgrsW3pzCsRedDKixHLRGBVKmF40A8thSFEoFoc3osNCNEaFEiYXTTc/Fut0P72fiIwOsV0XEXlWRJ4XkSUi8pNSGNwi5sEbUWIhGqNCCRODvwnnuxzlp1cCl4fYbitwrKoeAgwHThKRIwqysj3MezeixEI0RoUSJgY/SFXHiciZ4AYAEZF2fWVVVWCjn6z2n2hkWKGhEd7sZE5WUhBgL6Bz3IaUgsCDfwuYV+ayDwZ2KXOZRmoII/DbRKQrXpxFZBAhX/kQkSywEPgYcK2qPtPCOpOASQADBgwIaXYzFD7YCnVbYe2qwnZhlJ6N22HoPnFbUQIE6AYsA64oc9lHAz8oc5lGaggj8D8GHgL6i8itwCeBCWF2rqoNwHAR6QXMFJFhqrq42TrTgekAtbW1hXn46pP9CezcH7RvQXsxSsjyN2HPxe2vVxEI8CngfcobCvwnsLSM5RmpI4zAL8SlCj4Cd6lfAHTPpxBVXScic4CTgNLf9jkxeN0DJDkdODsum6EhTY3eWcofKulCUt8dNyqEUC86AdtV9UFVfQDY3c9rExHZ3Xvu+BDPCcDLxRjbKgrqBV7SMQhhxZOpggZr+C6ODCbwRlGEkcOf4d5m3UlEDgPuBr4SYrs+wBwReQGYDzzifyBKT043SU2T11jBSJVpU9EIVolGUYR50elBPwbrI7jQzOdU9V8htnsB+HjxJobAe/CKefBJIVNt2lQ0GaAxbiOMSqZVgReR3/DRJqWewGvAeSKCqiYnJ7zm/DeBTwbeg9dG+9EtGMEE3iiKtjz4Bc2mF0ZpSFF4D14ANTFJBNkqaKgCbTCBLxjz4I0iaVXgVfXm4LuIdAL295PLVDVZ7xPlPmeYmCQCEaivAq3HveJm5I/F4I0iCTOi0yjgZqAOd8n1F5Gz/VB+ySCnF41mLCVNEhDxHnx93JZUMCbwRpGE6Qf/K+BEVV0GTUP43Q4cFqVheZHTD97CAckgk3EC32gCXzgZwOrPKIIwclgdiDuA70GTrIfu3BedzH1PBEGIpjFZwbzKwjx4o0jCePALROSPwJ/89Hh2bICNlyBEIyDZuI0xwAm8ZqHRMjAWjjWyGkUSRuC/DXwHCLpF/h24NjKLCsV78SoWg08CmYwT+HoTqMKxN1mNIgkj8N9S1V8Dvw5miMgFwNWRWZUvOY2smAefCESgMQv1FkMuHOHD8KN5LUYBhInBn93CvAkltqM4LP6eOAIPvsE80MIJrmfL6WMUSFtvsp4JfBkYKCKzcxZ1B96L2rC8yHnRyTz4ZBB48A0WoimcQOAbsfc7jIJoK0TzFLAa6I3rKhmwAXghSqPyJucx1mLwySCT8SEaE/jCCUI0VodGgbT1JuvrwOvAkeUzp0By0wWbB58IRNxLZ+bBF4EJvFEk6Xjwy4lRWhw+GYgAWdhu56NwTOCNIkmNwKs6UTEPPhlkMkDWXsQsitwYvGEUQGoEHnxOePMYE0EQoqm381E45ozAtZsAABA1SURBVMEbRdJWL5oXabmDlgCqqgdHZlW+5PaDN0FJBE0evHXxKxzz4I0iaasXzeiyWVEsvheNYMnGEkXWXsQsCusHbxRJe71oKgN1IweZ954cRCBjAl8cFqIxiqRdf1dEjhCR+SKyUUS2iUiDiLxfDuNCk/uik5EYbODtIjGBN4okTEDjt8CZwCtAV+AbJC3ZWJBoLG47jI+QqbJeNEVhAm8USaiItaq+CmRVtUFVbwJOitasPPEhGjEXPlmYB18aTOCNAgmTTXKTH5N1kYhchUtfkKymzNxeNEZiyFSbwBeFefBGkYQR6rP8eucBHwD9gc9HaVTe5IzoZCQHqYJG8Q3gRv6YwBtFEkbgP6uqW1T1fVX9iar+N0nrQpnzJquRHDIZqK+2gbcLJhB4ewwyCiQd+eDBBkVIIJkMNGRtXNaCEWxcVqMoCskH34MQ+eBFpD9wC7AnTn6nq2o0o0AFHryFaRKFiHnwRWFvshpFEmU++Hrge6r6nIh0BxaKyCOq+lLB1rZG0E0yWU2/HR4RaKwygS+YQOCt/owCCZUPXkT2BEb4RUtV279lVXU17gcCVd0gIkuBvYFIBN5edEoemQxsy8K8RshsjNuawuneCCN2jiENRnBBW4jGKJB2u0mKyBeBXwJzcZfcb0TkYlW9O2whIlIDfBx4poVlk4BJAAMGDAi7y49iLzklkp13hq27QnYlsDVuawpjUxVs3ArbtkHn3mUuPGhkNQ/eKJAw/eB/AIxQ1bcBRGR34FEglMCLyM7APcCFqrpDigNVnQ5MB6itrS1Mp23k+URSVQVVn47biuLYvhbq50HjthgKtxCNUSRhHjozgbh71oTcDhGpxon7rap6bwH2hcNedDIiQvw4v7H05bcQjVEkYTz4h0TkYeB2Pz0O+Gt7G4mIADfgYva/LtzEEOSkCzaMUhIMXBKrwJsHbxRIuwKvqheLyOeBkX7WdFWdGWLfn8S9BfuiiCzy8y5V1b8UZmobNjZiIRojEgIPviGOJ0Tz4I0iCdPIeqWq/g9wbwvzWkVVn6RMkht4V6bvRiQINJoHb1QgYWLpJ7Qw7+RSG1IMgQdv/eCNUpOIEI21LxkF0tabrN8GzgX2FZHcF5u6A/+I2rC8CLpJZuM2xEgbTQIfZ4jGPHijQNoK0dyGa0z9OTA5Z/4GVW03VUE5CYbrM0fHiAKLwRuVSltvsq4H1uNGc0o0TY/PFqIxSowIkIHGuATeXnQyiiAVkqiN3nu3VlajxAS9aGJ9PDQP3iiQVAh8081nMXijxAQCH5sHDybwRsGkQuC10XtZqTgaI2mohWiMCiUdkuhj8NZN0ig1TTH4uLpJCibwRsGkQhKbnCuLwRslpilEE0vh/r8JvFEgqRB4fCOrWgzeiAJxg4fHUS6CjehkFEwqBD7oJqnmwRslRrzIxurB25i2RoGkQ+DVGlmNaIhd4C0GbxRBOiTRPHgjSjLmwRuVSSoEvilEEya7vWHkQSIaWa0fvFEg6RB4n2zMPHij1DR1k4ylcCxEYxRFKgQ+uPsy1ovGKDGxx+DBBN4omFQIfNDIah68EQnWyGpUKKkReMBy0RglJxEevMXgjQJJhcBj6YKNKIlrrIHAgzeBNwokFZLYlGzMPHijxIiAxN1N0kI0RoGkQuBdFxosF40RDXH3ojEP3iiQVAh8kwdvAm9EgGRiHg7SPHijQNIh8P7uEwvRGBEgmZicaPPgjSJJhcATDLqdjqMxEobEdV1ZDN4oklRIYtOYrObBG1FgMXijQolM4EXkRhF5W0QWR1VGE5ZN0oiSOGPwGUzgjYKJUhJnACdFuP8PCdwr8+CNCJC4xmQFG/DDKIrI8i+q6hMiUhPV/j9SFlCfgZf6QEPPcpRotIco7PsBdEuB9ynZGNNgmAdvFEHsCXZFZBIwCWDAgAGF7aQRNnaDuf1gTbcSGmcUxfCtcFoaxCmuVAW+bBN4o1BiF3hVnQ5MB6itrS3oQVgVGgQ2KezbBTp3L6mJRgE8m4V318RtRWmQbMwhGhN4o0BiF/iS0OgGRRage0/osUvcBhldtsK2lDR6S8Z1wdXGGLpMmsAbRZCKW1AVGjMu7ms54ZNBlbh2kTQg/h0LjUNoTeCNIoiym+TtwNPAYBFZISLnRFUWjV7gxQQ+KVQLbE+RwDdkiScQn4mpXCMVRNmL5syo9r1jWebBJ40qgfqU5AYKxmXVOOLw5sEbRZAOH8vH4DNA1gQ+EVRnnAcfW+NkidFsTCEa6yZpFEEqBD7w4FET+KSQzUBjFhpSIPAizoGIJVRiLzoZRZAKgc/tRZNJxxFVPFmgoQrqUyDw4BwItRi8UWGkQg61ERoykElJzDcNZHENk2nx4DUbk8CbB28UQSoEvqkXTTqOJhU0efApECeRmD14i8EbBZIKSTQPPnlkcAK/PSUefNDGU/7CMQ/eKJhUCDzqBT4dR5MKsriXg9Ig8ODaeBrNgzcqjFRIovoQTTqOJh0EAr8lbkNKgARjDcT1JmsjMQ8Ka1QqqZDEBj/otsXgk0PW/9katyElIHjRKRYPPgg7WpjGKIBUSGKDOgcnk47Uaakg8OC3paVdJK6XtkzgjSJIhcA3eg/eRnRKDmkS+CDZWIN58EaFkQ6BD8ZkrY7bEiMgg+s7vi1uQ0pA7LlowGLwRkGkQuCDEI1aiCYxZAEy6cgJH7vAK+bBGwWRgtvvwxCNmAefGLI4YdyaghAN4GLwcYVoTOCNAkmHwPsQTTYVR5MOsrheTdtT0C7S1IvGPHijwkiFJAYevGWSTA5ZAElRiCauVAXWyGoUQQpuvw/7wVdZDD4xBB58GgQevAcfR8HmwRtFkIrbL/Dgq1JxNOlAcLmB0jBsX+DBWz94o9JIwe0HjQ0uVUGVhWgSg+CG7UtNP3iJMURjHrxRIOkQeHXjsVoMPllUpciDx0I0RgWSiqi1Nrr7wHrRJIsqgfq0nJMMNMTxNGIvOhlFkIrbr9ELfMY8+ESRzcD2lIRosG6SRgWSDoG3EE0iqc6kw4NvEvg4PXgTeKMAUnD7+RBNo3nwSSMI0cTi+ZaauGLw4Aq2QT+MAkiFwDd58Kk4mvSQFTfwdn2FC3ww4EdsjaxgAm8URCokMYjB24AfySILNFZX/sDbTakKYinc/6+Po3Cj0olUEkXkJBFZJiKvisjkqMpp1A/vAyM5ZEmHBw9A3OmCTeCNAohM4EUkC1wLnAwcCJwpIgdGUVajQiYNIpIyskBDlUvnXMkEIZpYu0laiMYogCj7wR8OvKqq/wYQkT8DY4CXSl1Q8IbhhlLv2CiKrcDWLNw0ADpXcgN4I+y1CpaNgDt3Km/R/bbA4D1h2xXQmIq3VoyWaNwJRk8v/X6jvGT2BpbnTK8APtF8JRGZBEzykxtFZFm+BXWq6talS3X3j73/cPWagiyNko0bu7HzzpviNmMHymRXZ+na7V+N+XVg3bZxbXWnnXfZHpVNhVDVkMnKuvWdelTvVvZQfLZRpDHTeoDo/W1rMj06ld+u9jC78uNzN/3rX/X1W7oD7+a56T6tLRCNKLAoImOBk1T1G376LOATqnpeROUtUNXaKPZdDGZX/iTVNrMrP8yu/Cm1bVE2sq4E+udM9/PzDMMwjDIQpcDPB/YTkYEi0gk4A5gdYXmGYRhGDpHF4FW1XkTOAx7Gdai4UVWXRFUeEEETRUkwu/InqbaZXflhduVPSW2LLAZvGIZhxIu9+2kYhpFSTOANwzBSSsULfLnSIYSwo7+IzBGRl0RkiYhc4OdPEZGVIrLIf06Jyb46EXnR27DAz9tVRB4RkVf8/13KbNPgnHpZJCLvi8iFcdSZiNwoIm+LyOKceS3Wjziu8dfcCyJyaAy2/UJEXvblzxSRXn5+jYhszqm768psV6vnTkQu8XW2TEQ+U2a77sixqU5EFvn55ayv1jQiuutMVSv2g2u8fQ3YF+gEPA8cGJMtfYBD/ffuwL9wKRqmABcloK7qgN7N5l0FTPbfJwNXxnwu38S9tFH2OgOOBg4FFrdXP8ApwF9xiQSOAJ6JwbYTgSr//coc22py14vBrhbPnb8Xngc6AwP9fZstl13Nlv8K+FEM9dWaRkR2nVW6B9+UDkFVtwFBOoSyo6qrVfU5/30DsBT3Nm+SGQPc7L/fDHw2RluOA15T1dfjKFxVnwDeaza7tfoZA9yijn8CvUSkTzltU9W/qWqQguyfuPdMykorddYaY4A/q+pWVf0P8Cru/i2rXSIiwJeA26Mouy3a0IjIrrNKF/iW0iHELqoiUgN8HHjGzzrPP2LdWO4wSA4K/E1EFopLDwGwp6qu9t/fBPaMxzTAvSeRe9Mloc5aq5+kXXdfx3l6AQNF5P9EZJ6IfCoGe1o6d0mps08Bb6nqKznzyl5fzTQisuus0gU+cYjIzsA9wIWq+j7we2AQMBxYjXs8jIORqnooLrvnd0Tk6NyF6p4JY+kzK+5FuNOBu/yspNRZE3HWT1uIyGW4ZMK3+lmrgQGq+nHgv4HbRKRHGU1K3Llrxpl81JEoe321oBFNlPo6q3SBT1Q6BBGpxp24W1X1XgBVfUtVG1S1EfgDET2WtoeqrvT/3wZmejveCh75/P+347AN96PznKq+5W1MRJ3Rev0k4roTkQnAaGC8FwZ8CGSN/74QF+vev1w2tXHuYq8zEakCPg/cEcwrd321pBFEeJ1VusAnJh2Cj+3dACxV1V/nzM+NmX0OWNx82zLYtpOIdA++4xroFuPq6my/2tnArHLb5vmIV5WEOvO0Vj+zga/6Xg5HAOtzHrHLgoicBHwfOF1VN+XM313cWAyIyL7AfsC/y2hXa+duNnCGiHQWkYHermfLZZfneOBlVV0RzChnfbWmEUR5nZWj9TjKD66l+V+4X97LYrRjJO7R6gVgkf+cAvw/4EU/fzbQJwbb9sX1YHgeWBLUE7Ab8BjwCvAosGsMtu0ErAF65swre53hfmBWA9txsc5zWqsfXK+Ga/019yJQG4Ntr+Lis8G1dp1f9wv+HC8CngNOK7NdrZ474DJfZ8uAk8tpl58/A/hWs3XLWV+taURk15mlKjAMw0gplR6iMQzDMFrBBN4wDCOlmMAbhmGkFBN4wzCMlGICbxiGkVJM4I0Oi4j0EpFz/fe+InJ33DYZRimxbpJGh8XnA3lAVYfFbIphREJkY7IaRgUwDRjkc4O/AgxR1WE+BcBncS9h7Qf8EpeO+ixgK3CKqr4nIoNwL6LsDmwCJqrqy+U/DMNoGQvRGB2ZybgUxcOBi5stG4bLWzICuALYpC4h1dPAV/0604HzVfUw4CLgd2Wx2jBCYh68YbTMHHU5uzeIyHrgfj//ReBgnxHwKOAul2IEcINZGEZiMIE3jJbZmvO9MWe6EXffZIB13vs3jERiIRqjI7MBN3Ra3qjL4/0fEfkiNI2feUgpjTOMYjGBNzos6vKA/8MPzvyLAnYxHjhHRIIsnbEMF2kYrWHdJA3DMFKKefCGYRgpxQTeMAwjpZjAG4ZhpBQTeMMwjJRiAm8YhpFSTOANwzBSigm8YRhGSvn/yeDCIpCBcbQAAAAASUVORK5CYII=\n", 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NN95g9uzZNDc309LS0lF+nz59OtZtampi1apVPZaxxRZbsHjxYoYMGcLixYvZfPPNy7Y7MY/fzI41syFm1mxmW5vZ5Wb2ETMbZmZjwytZ0Qf3+GsNF36ngrz00ks88sgjAFx33XXss88+HSI7ePBgVqxYwU033VRw+/79+7N8+fJ1lo8aNYrFixfz+OOPA7B8+XLWrl13nvnp06ezevVqlixZwsyZMxk3bhzLli1j8803p7m5mRkzZvDii11mRi7KDoAjjzySq6++GoCrr76aiRMn9ri/nmiMlA3u9dcOsfB7qCdzDKeyPXGK6cs3atQofvGLX/DlL3+ZHXfcka997WtssMEGnHTSSYwZM4Ytt9yyI1zTFccccwwnnXQSl1566Yd+IHr37s0f/vAHTjvtNFatWkW/fv2477771tl+l112Yb/99uPNN9/k29/+NkOHDmXSpEkcccQR7LzzzrS2trLDDjv0eBwnnHACJ598cpeNu+eccw6f+9znuPzyy9lmm2244YYbiqiZ7qmLOXdbW1ut5IlY3iEaIrYI2K2CRjmlsQT4C1EH7SNTtsUpi3nz5jF69OjUyl+wYAETJkxg7ty5Pa+cAFOmTGGjjTbizDPPTKX8znR1PiTNNrN1+p9mP1dP7O17qKc2iK+4nkObjuMkRPZDPbX/QNNYeIzfqRAtLS2pefsQefz1inv8TnVpIrrqum7HchynCjSG8Du1QxPRj7B7/I6TGo0h/C7+tUMs/NUZvuc4Thc0hvCDh3pqhTjU4x6/46RGYzTuusdfO4hI+N3jzxwz/gzLllVufwMHwn77V25/XVEPaZlvvPFGpkyZwrx583jssccqkh20MYQf3OOvFUR01fkArsyxbBkMqmCq7bffrty+uqJe0jKPGTOGW265ha9+9asVK69xQj1O7dAL78fvlM2CBQvYYYcdmDRpEqNHj+aoo45i5croUfKCCy5g3LhxjBkzhsmTJ3dkxxw/fjxnnHEGra2tXHTRRdx+++2cddZZjB07lhdeeIETTjihYwTv448/zt57782uu+7Kxz72MZYvX87MmTOZMGECEHXnPO6449hrr73Ybrvt+M1vfgPAihUrOOCAA9htt93YeeedmT59eoe9o0eP5qSTTmKnnXbi4IMPZtWqVdx0000daZnHjh27Tv6e0aNHM2rUqIrWXWMIv4t/bdGMe/xORWiEtMxJ0BjCn//fSZ8mPB+/UxEaLS1zpWiMGL8P4KotmolyKDlOmTRCWuYkaByP36kdehHNhdyetiFOvdMIaZmTwD1+p/rEs3CtIZqWx8kEAwdWtifOwIE9r9MIaZlvvfVWTjvtNN544w0OP/xwxo4dyz333NNz5XRD9tMyv0w099cyYOcKGuWUzjyixO33Af3TNcUpHU/L7GmZaxfDe/bUGk1EYZ730zbEcRqT7Id6YjzUUzvEwr8mbUOcesbTMpeOe/xO9YmF3/vyO04qNIbwg3v8tYSnZnacVGkM4fdePbVFjuiceKI2x0mFxhF+p3aIp1/0fD2OkwrZb9yNhT/7P3H1g8+7m02+A7xUwf0NB7pPllk29ZCW+ayzzuKOO+6gd+/ejBw5kiuvvJJBZaZBzb4cusdfe8QDuNzjzxYvAS0VfFXyR6QL4rTMzzzzTMeyCy64oKDoQ5SWudKiD5Hwv/LKK11+d9BBBzF37lyeeuoptt9+e374wx+WXV5iwi/pCkmvS5qbt2wTSX+S9Fz4v3FS5XfgMf7aI/b4PcbvlEGjpGU++OCDOxLE7bnnnixcuLDsukvS478KOKTTsnOA+81sO+D+8DlZXPhrj7hXz4q0DXHqnUZLy3zFFVdw6KGHll1vicX4zexBSS2dFk8Exof3VwMzgf9MyobIkPDfhb92iIV/PtHPf73SC9gD6Ju2IY1L57TMl156KWeeeSYzZszg4osvZuXKlSxdupSddtqJI444Aig9LXNXxGmZ+/Xr15GW+fDDD+e8887jwQcfJJfLVSwt8w9+8AN69erFpEmTit6mENVu3N3CzBaH968CWxRaUdJkYDLA8OHDSy/R4/u1R28isXwU+HvKtpSDEV2hPeuIkxCNkpb5qquu4s477+T+++9fp8xSSK1Xj5mZpIKybGbTgGkQJWkrvSC8V0+t0QQcCFQvC23lWQ38Feg5466TIHFa5r322qvbtMxHHXVUl9sXk5Z53LhxLF++vMsQzPTp0zn33HN59913mTlzJlOnTuXGG2+saFrmu+++m4svvpgHHniADTbYoMd9FUO1hf81SUPMbLGkIcDriZfovXpqkxxQRNrdmqUP0ZOLJ5r7gOFEWVcrub8eaIS0zKeeeirvvfceBx10EBA18F522WU9V043JJqWOcT47zSzMeHzj4AlZjZV0jnAJmZ2dk/7KSst89NEfYGbgY+UtgvHWYf3gXuBw4HvpWxLSnhaZk/LvA6SrgceAUZJWijpRGAqcJCk54ge9qcmVX4H7vE7SaDwco/fqUOS7NVzbIGvDkiqzK4NwWP8TuWJhd9TS6eGp2UunezLoXv7ThLEd86607A2FPUwg18jsL7noTGE3wdwOZXGPX769u3LkiVLXPxTxsxYsmQJffsWP6Ak+0nawIXfqTwicpsaWPi33nprFi5cyBtvvJG2KQ1P37592XrrrYteP/vC7427TlLkaOhQT3NzMyNGjEjbDKcEPNTjOKWSw3v1OHWJC7/jlIqAtrSNcJz1pzGEH1z4ncrTREPH+J36pTGE3z1+JwkaPMbv1C8u/I5TKi78Tp3SOMLvOJUmh8f4nbqkcYQ/+0fqVBv3+J06Jfty6N6+kxTu8Tt1SsEBXJJ2625DM3ui8uYkgHv8TlI04R6/U5d0N3L3J+F/X6AVeJKoiXQXYBawV7KmVQj3+J2kiD1+7zzg1BkF/WAz28/M9gMWA7uZWauZ7Q58FFhULQPLxnv1OEmRI7q22tM2xHHWj2ICIKPMrGNKbDObC6Q37c764r16nKQQ0bXlcX6nzigmSdtTkn4L/C58ngQ8lZxJFSYWfY/xO5Umfop04XfqjGKE/0vA14DTw+cHgV8lZlGlcY/fSYo41OPC79QZPQq/ma2WdBnwv2Y2vwo2VRbv1eMkhXv8Tp3SoxxKOhKYA9wdPo+VdHvShlUM9/idpMgRNex6465TZxTjB38X+BjwNoCZzQHqZ/YFj/E7SeGNu06dUowcrjGzZZ2W1ZcPXV/WOvWCx/idOqWYxt2nJX0eaJK0HfAN4OFkzaogLvpOUrjH79QpxXj8pwE7Ae8B1wHv8EEPn9rHJ2JxksIbd506pRjhP9bMzjezceF1PvC9pA2rGO7xO0kRh3o8X49TZxQT6vmMpNVmdi2ApJ8D/ZI1q4J4ygYnKeJryqdfdOqMooQfuF1SO3AI8LaZnVhOoZL+A/gKkST/HfiSma0uZ58FcY/fSYrY43fhd+qMgqEeSZtI2oTIu/8KcDawHPheWF4SkrYiaiBuNbMxRMltjyl1fz3iMX4nKdzjd+qU7jz+2XwQJIn/Hx5eBmxbZrn9JK0BNgBeKWNf3eMev5MULvxOnVJQ+M0skUFaZrZI0o+Bl4BVwL1mdm/n9SRNBiYDDB8+vIwC4x2WvgvH6ZL4efn9VK1wnPWmqPGsksZI+pykL8avUguUtDEwkWj071BgQ0lf6LyemU0LcwC0brbZZqUW5x6/kxzu8Tt1SjG5er4L/Cy89gMuBo4so8wDgX+Z2Rtmtga4Bdi7jP11j3v8TlLEd49353TqjGI8/qOAA4BXzexLwK7AwDLKfAnYU9IGkhT2Pa+M/XWPJ2lzkiJu/XKP36kzihH+VWbWDqyVNAB4HRhWaoFm9ihwE/AEUVfOHDCt1P31XGD47x6/U2niu8eF36kziunHP0vSIOA3RD19VgCPlFOomX2XKOtn8rjH7ySFx/idOqWYiVhOCW8vk3Q3MMDM6m/qRff4nUrjwu/UKcU07t4fvzezBWb2VP6ymse9fScpPNTj1CkFPX5JfYkGVw0OXTBj/2YAsFUVbKsM7vE7SaHw8n78Tp3RXajnq8AZRH3tZ/OBdL4D/DxhuyqHx/idpPABXE6d0t3I3UuASySdZmY/q6JNyeAev1NpYo//vbQNcZz1o5junK9K6g8g6b8k3SJpt4Ttqhzu7TtJEQu/x/idOqMY4f+2mS2XtA/RqNvLgV8la1YF8VCPkxQe6nHqlGKEP55Y7nBgmpndBfROzqQK4427TlJ4465TpxQj/Isk/Ro4GvhfSX2K3K42cG/fSYocHupx6pJiBPxzwD3Av5vZ28AmwFmJWlVJfOpFJyl8AJdTpxQzcnclUQbN+PNiYHGSRlUU9/idpHCP36lT6idkUyoe43eSwnv1OHVKYwi/e/1OEsTC7/n4nTqjmFw9G0rKhffbSzpSUnPyplUI9/idJMnhHr9TdxTj8T8I9JW0FXAvcBxwVZJGVRT3+J0kacKF36k7ihF+hQbeTwO/NLPPAjsla1YFcY/fSRIP9Th1SFHCL2kvYBJwV1jWlJxJFca9fSdJcrjwO3VHMcJ/OnAucKuZPS1pW2BGsmZVEO/H7ySJC79ThxTTj/9Bojh//PmfwDeSNKqiuMfvJIkLv1OH9Cj8krYHzgRa8tc3s/2TM6uCtKdtgJNpmnDhd+qOYiZbvxG4DPgtHyRsqx+8cddJkhz1eFc4DU4xwr/WzOonDXNn2nHRd5Ijh0/E4tQdxTTu3iHpFElDJG0SvxK3rJK48DtJ0YR7/E7dUYzHf3z4n5+R04BtK29OAniM30mSuB+/9xxz6ohievWMqIYhieG9epwkyRFdY+3U0+gWp8EpJlfPBmGu3Wnh83aSJpRTqKRBkm6S9KykeWGAWDK4x+8kSXwHebjHqSOKifFfSTS53N7h8yLgwjLLvQS428x2AHYF5pW5v8J4466TJCLy+F34nTqimBj/SDM7WtKxEE3MIqlkKZU0ENgXOCHs732SnLXU4O1e8HZiBTjrywCiadwyQZyd8wGgXxXL3RIYVcXynExRjPC/L6kfIVouaSTldWAbAbwBXClpV2A2cLqZvZu/kqTJwGSA4cOHl1xYexssbIIXF4G5518T9FsL+w2BXP0k9y7MhkRuy0+o7pPlBsC1oXzHWU+KEf7vAncDwyRdC3yc4K2XUeZuwGlm9qikS4BzgG/nr2Rm04BpAK2trSU30VobtBtsKLA9yrDaqQhLV0PbHGhbCbmBaVtTAbYBNiXJZ9Z1eRF4CViOC79TEsUI/2yilMx7Evk0pwP9yyhzIbDQzB4Nn28iEv5EsBDjt36g+uiAmmm0FNY2Q3uW0hxsVOXy3iK6E73jglMiRQ3gAtaY2V1mdiewWVhWEmb2KvCypDhCeQDwTKn767G8+ObwME9NkMtBW68oBOeUSHwtu/A7JVKMx//fRKN3DwN2AK4hys1fDqcB10rqDfwT+FKZ+ytMe8jMLNf+WkACa4K2VWlbUsfEPYlc+J0SKWYA111hjt0/EYV4PmVm/yinUDObA7SWs4+iywo3h2V/Wvm6IBb+te7xl07swXgdOiVSUPgl/YwPj3sdCLwAnCoJM6uPnPzhCErvgOpUklwO2pugzb3V0vFQj1Mm3Xn8szp9np2kIUlhIdRTVGuGkzhSJPzu8ZdBLPxZaiB3qkpB4Tezq+P3IRa/ffg438zWJG1YxYh79bjHXxPkciHG795q6bjwO2VSzAxc44GrgQVEl9wwSceHKRlrHmsHzGP8tULs8bd58rzy8acmp0SK6dXzE+BgM5sPHVMxXg/snqRhFSPO1ePCXxPkckATrHXhL524V497/E6JFCOHzbHoA4QePfUz2N48xl9LKPwI10+ssAbxXj1OmRTj8c+S9Fvgd+HzJNZt+K1Z4sZdD/XUBhKRx5+2IfWMx/idMilG+L8GfB2Iu2/+BfhFYhZVmhBS8Mbd2iCXi36EXbPKwIXfKZNihP9kM/sp8NN4gaTTiXLq1zxxrh6fHak2cI+/Ang/fqdMigmAHN/FshMqbEdyhF497vDXBhKoCdr9hJSOx/idMulu5O6xwOeBEZJuz/uqP7A0acMqhVnI0+Mx/ppBvbw7Z1m48Dtl0l2o52FgMTCYqEtnzHLgqSSNqijeuFtz5MG2gAcAABDkSURBVHp5qKcsPMbvlEl3I3dfJJryIbmJ0KtBiIPmXPhrBnmMvzx8nl+nTDIvh9YehXq8V0/tkOvt7ZJl4aEep0wyL/wd2Tmzf6T1Q69Is8zVvzQ81OOUSeblMPb4s3+k9UOuCdqacLe/VNzjd8qku149f+fD+fg7vgLMzHZJzKpK4h5/zZHLQVuYd7epmJEkzodx4XfKpLvbbkLVrEgQy5t60akNpGjeXVsD9E3bmjrEhd8pk5569dQ/8TOLC3/NIMFan3C9dOJr2TPdOSXSYwBE0p6SHpe0QtL7ktokvVMN48rGopcP4Kotcrkoxt/ujZOlofDy+nNKpBg5/DlwLPAc0A/4CvWSpM2ikbuAN+7WEBK094J291hLw3v1OGVSlBya2fNAk5m1mdmVwCHJmlUh7IN/7vHXDvH0iz7vbhm4x++UQTF9KlaGOXfnSLqYKI1DfchovsfvMf6aoWP6RRf+0nCP3ymTYgT8uLDeqcC7wDDg00kaVTHiGD9RmgCnNnCPv0w8xu+USTHC/0kzW21m75jZ98zsm9RLV888b9+7c9YOscff7gO4SsN79Thlkvl8/HGoxz3+2kGKPP41LvylEXv8Xn9OiZSSj38AFcjHL6mJaO7eRWaWzBNECPUA9dIq0RDkctCegzYXrtLwAVxOmaSZj/90YB7RD0kyeONuTdIx/aKfk9LwGL9TJkXl45e0BTAufDXPzMq65CRtDRwO/AD4Zjn76pb8TEPu8dcMuRyQg39sCAtWpG1N6eSAj/aCQdVOO+G9epwy6bE7p6TPAj8GZhJdcj+TdJaZ3VRGuf8DnE00jWOhcicDkwGGDx9eWik+gKsmaWqCjTeHPi8Cy9K2pjTaBEt7wZtvwaBRVS489vg91OOUSDH9+P8LGGdmrwNI2gy4DyhJ+CVNAF43s9mSxhdaz8ymAdMAWltbS5uh1WP8NYkEA0YCI9O2pHTa1sDK2dD2VgqFu8fvlEkxcpiLRT+wpMjtCvFx4EhJC4DfA/tL+l0Z+yuM5UV7XPidCqLQRTiV9mlv3HXKpBiP/25J9wDXh89HA38stUAzOxc4FyB4/Gea2RdK3V/3hUUvERK1JVKI04goTO7TnsZF5Y27Tpn0KPxmdpakTwP7hEXTzOzWZM2qECHG7yN3nUqjIPjtpQUhK4N7/E6JFNO4e5GZ/SdwSxfLysLMZhI1GidD3k3pHr9TcXIphnpyuPA7JVNM5PugLpYdWmlDEiF4/MI9fqeyKIRbUhuD5iN3nTLobuTu14BTgG0l5Q/Y6g/8NWnDKoJ98N9wj9+pMOp6Uuqq4B6/UwbdhXquI2rE/SFwTt7y5WZWdsqGqhD3448fjR2nQijM6paqx++Nu06JdDdydxnR8Jpjq2dOhcnz+F34nYqTtvB7qMcpkWzLoY/cdRJEuRRDPT5y1ymDbMuhj9x1EiTVUI/H+J0yyLYc+shdJ0nc43fqlGzLYd7IXZ9s3ak07vE79Urm5dDaU/TKnGzjjbtOnZJt4c/vzuk4FSbVxt0cLvxOyWRe+DGQu/xOAqgp5Ri/C79TIpkXfmuP8vQ4TsVRiknaPMbvlEH2hd880uMkg5pSjvG78Dsl4sLvOCWiHFgueqqsfuF4qMcpmcwLv3fpcZJCCsKfhuftoR6nDDIv/NaOu/xOIkjQ1kQ6zkXs8btj45RA5oXfe/U4SRHPu5tKqCe+c/3adkqgIYTfPX4nKVIL9cTXtMf5nRLIvPB7466TFBK0pzWQSngbllMyDSH8rvxOUrSn2avHcI/fKYnMC797RE5SSGBNKQo/uPA7JZF54TcXfichUg31gHv8Tsm48DtOicTCn8o15h6/UwaZFn6L+zl7jN9JCAPaPcbv1Bku/I5TInGMP5URtC78ThlUXfglDZM0Q9Izkp6WdHpSZZmPbHQSJB7A5R6/U2/0SqHMtcC3zOwJSf2B2ZL+ZGbPVLykIPxyj99JilxKqZmFJ2pzSqbqwm9mi4HF4f1ySfOArYCKC7+F7pyLNoOXBlZ6706pDH4PhqxO24ryiZO0taUl/N5d2SmRNDz+DiS1AB8FHu3iu8nAZIDhw4eXtH+zyCF6bDQ82s8nZKkVNuwFp62E5jpvYUo1V4+HepwySE34JW0E3AycYWbvdP7ezKYB0wBaW1tL82vao/uiXTBoLWw5tAyDnYrwYjO8tRhWtWVI+L07p1NnpCL8kpqJRP9aM7slqXLiaRfbgebeMHjTpEpyimUZsPRNWJsVwcp5465Tf6TRq0fA5cA8M/tpkmVZ8PhN0TR5Tvo0EeWwX5OB2HRHr540Y/wu/E4JpPGw/XHgOGB/SXPC67AkCrL2EOfPufDXCk0AOXgvA+0tHTNwpenx+yxcTgmk0avnIao0pMosiu+bQKk2YzsxOaJBT+9nwOOHD0KJVSe+g9amUbhT79R581oPtIen4Rz0yvaR1g1NRF7y6gx5/KmFesCF3ymJTMuhWfDIctCU6SOtH2Lhfz9tQypAHONPbSIW4aEepyQyLYf5jbv13nUwK3QIfwY8fgCUkvZ6d06nDDIth3F3zjYP9dQMTeHPmgwIvwTkoC2NY4kbdz3U45RAtuUwhHosB728V09N0NGrJwNXnkK4JdUYv4d6nBLIwO1XGGuPevUIyLnw1wQ5IsFck4Err0P40zwW9/idEsjA7VcYC716ZNDkwl8TNBEJ5ntZOR9pe/wu/E4JZF743eOvLZoAZaRxN47xp9qP30M9TglkWvjjGL/avTtnrdAEoOw07qY+gMuF3ymBTMthh8cvD/XUCgJ6CdZk5XykmZ3Te/U4JZJ54TcgZx7qqSWachlq3E2zO6cP4HJKJAO3X/e0hxvEp1+sHXplKNQDKU3w49k5nTLItvDnNe46tUNWhB9Id85dcI/fKYlMC388cjeXFZHJCM0Z6sevtIXfY/xOCWTg9itMnKTNXf7aolcO1qbV/73S5FKa79w9fqcMsi38IdTT5MJfU/TKRbNwZUH3yYV2pGrjwu+UQaaFvy1u+PIePTVFE9DWDGsy0DCZS3sA15o0CnfqnUwL/1oLKRsyfZT1Rw5ob4rOT92jlEM9HuN3SiDTkhh7lLlMH2X90QSsbYK1GfD4labHL9zjd0oi05LYFvfq8VBPTdEEtPXKiMefdqgnAz+eTvXJtvDHwuITrdcUTUQTrmchxq80e/UID/U4JZFp4Y9j/Nk+yvojnn7xvQz0tlJavZM8xu+UQaYlsS105/RQT20RT7+4OgPCn2qoxz1+p0SyLfxhAFeTh3pqio4J19M2pAIol1J2zhhv3HVKINPCvzZk5/Rc/LVFjiD8GfD4FQZwWbXdfs/O6ZRBpiWxrR3IeS7+WqMjxp+2IRVAuehYqh7v8Ri/UwapCL+kQyTNl/S8pHOSKqctNO56jL+2iGP8WcjQKUWD0VLz+F34nRKouvBLagJ+ARwK7AgcK2nHJMpqi0M9zUns3SmVePrFrEy4brmUhB9c+J2SSKPZ82PA82b2TwBJvwcmAs9UuqB2AwSrm2F5pXfulMx7wNocPLYlPF/nP8oD2mHwWHioN1XNCdW0BsYPhrZnYc2k6pXrVJ/Nvgrj9q3sPtMQ/q2Al/M+LwT26LySpMnA5PBxhaT5pRQ2sM/mO777aL931ubaaqsZbMWKDdhoo5Vpm9ElVbCtqal3n35re/den2jP+yveau690cY114+laek7/Qb1Glz1Xp3XtUvtMiuUdvyd95fkBvTetCaHydWqbbVo18o7Vq18bflzy4A3S9h8m64WyqrcF03SUcAhZvaV8Pk4YA8zOzWh8maZWWsS+y6HWrULatc2t2v9qFW7oHZtaxS70mjcXQQMy/u8dVjmOI7jVIE0hP9xYDtJIyT1Bo4Bbk/BDsdxnIak6jF+M1sr6VTgHqLmsCvM7OkEi5yW4L7LoVbtgtq1ze1aP2rVLqhd2xrCrqrH+B3HcZx0yfTIXcdxHGddXPgdx3EajEwLf7VSQxRhxzBJMyQ9I+lpSaeH5VMkLZI0J7wOS8G2BZL+HsqfFZZtIulPkp4L/zeusk2j8upkjqR3JJ2RVn1JukLS65Lm5i3rso4UcWm45p6StFuV7fqRpGdD2bdKGhSWt0halVd3l1XZroLnTtK5ob7mS/r3Ktv1hzybFkiaE5ZXs74K6UNy15iZZfJF1HD8ArAt0Bt4EtgxJVuGALuF9/2BfxClq5gCnJlyPS0ABndadjFwTnh/DnBRyufxVaKBKKnUF7AvsBswt6c6Ag4D/kiUVGFP4NEq23Uw0Cu8vyjPrpb89VKory7PXbgPngT6ACPCPdtULbs6ff8T4Dsp1FchfUjsGsuyx9+RGsLM3gfi1BBVx8wWm9kT4f1yYB7RCOZaZSJwdXh/NfDJFG05AHjBzF5MywAzexBY2mlxoTqaCFxjEX8DBkkaUi27zOxeM4sz+PyNaJxMVSlQX4WYCPzezN4zs38BzxPdu1W1S5KAzwHXJ1F2d3SjD4ldY1kW/q5SQ6QutpJagI8Cj4ZFp4bHtSuqHVIJGHCvpNmK0mQAbGFmi8P7V4EtUrAr5hg+fDOmXV8xheqolq67LxN5hjEjJP2fpAckfSIFe7o6d7VSX58AXjOz5/KWVb2+OulDYtdYloW/5pC0EXAzcIaZvQP8ChgJjAUWEz1qVpt9zGw3omypX5f0oXRQFj1bpjOtbDTA70jgxrCoFuprHdKso0JIOp8od+e1YdFiYLiZfRT4JnCdpAFVNKkmz10ex/JhB6Pq9dWFPnRQ6Wssy8JfU6khJDUTndRrzewWADN7zczazKwd+A0JPeJ2h5ktCv9fB24NNrwWPzqG/69X267AocATZvZasDH1+sqjUB2lft1JOgGYAEwKgkEIpSwJ72cTxdK3r5ZN3Zy7WqivXsCngT/Ey6pdX13pAwleY1kW/ppJDRHih5cD88zsp3nL8+NynwLmdt42Ybs2lNQ/fk/UMDiXqJ6OD6sdD0yvpl15fMgLS7u+OlGojm4Hvhh6XuwJLMt7XE8cSYcAZwNHmtnKvOWbKZoLA0nbAtsB/6yiXYXO3e3AMZL6SBoR7HqsWnYFDgSeNbOF8YJq1lchfSDJa6wardZpvYhav/9B9Gt9fop27EP0mPYUMCe8DgP+H/D3sPx2YEiV7dqWqEfFk8DTcR0BmwL3A88B9wGbpFBnGwJLgIF5y1KpL6Ifn8VEU5svBE4sVEdEPS1+Ea65vwOtVbbreaL4b3ydXRbW/Uw4x3OAJ4AjqmxXwXMHnB/qaz5waDXtCsuvAk7utG4166uQPiR2jXnKBsdxnAYjy6Eex3Ecpwtc+B3HcRoMF37HcZwGw4XfcRynwXDhdxzHaTBc+B2nE5IGSTolvB8q6aa0bXKcSuLdOR2nEyFfyp1mNiZlUxwnEao+567j1AFTgZEhN/tzwGgzGxNSIXySaHDZdsCPiVJ+Hwe8BxxmZksljSQaYLMZsBI4ycyerf5hOE7XeKjHcdblHKJU0GOBszp9N4Yor8s44AfASosSeT0CfDGsMw04zcx2B84EflkVqx2nSNzjd5z1Y4ZFOdOXS1oG3BGW/x3YJWRY3Bu4MUrBAkSTjDhOzeDC7zjrx3t579vzPrcT3U854O3wtOA4NYmHehxnXZYTTYG33liUR/1fkj4LHfOj7lpJ4xynXFz4HacTFuVh/2uYlPtHJexiEnCipDjraSpTfjpOIbw7p+M4ToPhHr/jOE6D4cLvOI7TYLjwO47jNBgu/I7jOA2GC7/jOE6D4cLvOI7TYLjwO47jNBj/HwVkSYZDwSQSAAAAAElFTkSuQmCC\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "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('total tokens staked')\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('total tokens staked')\n", - "plt.title('step_down tokens staked for proposal 1')" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "In plot series 4 above, we can see the cumulative effect of multiple participants unstaking tokens on proposals, without the half life decay factor. Participant 0 unstakes 1 tokens from proposal 0 and 2 tokens from proposal 1 around timestep 70, followed by participant 1 and participant 2 with their own unstaking amounts for each proposal at later timesteps." - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "Text(0.5, 1.0, 'Support for Proposal 1')" - ] - }, - "execution_count": 13, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "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('total tokens staked')\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('total 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('total tokens staked')\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('total tokens staked')\n", - "ax2.set_ylabel('conviction')\n", - "plt.title('Support for Proposal 1')\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "In plot series 5, we add the output of participant unstaking (i.e. conviction decay) to our plots to show the impact of the time delay introduced by the half life decay parameter $alpha$." - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "Text(0.5, 1.0, 'Conviction and tokens staked for proposals 0 and 1')" - ] - }, - "execution_count": 14, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "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": "markdown", - "metadata": {}, - "source": [ - "In plot 6, we compare tokens unstaked and conviction decay for both proposals 0 and 1 that were examined above." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Test Series 3: 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", - "- Plot series 7: granular input signals (tokens staked/unstaked) with outputs (conviction accumulated/decayed) with 3 participants\n", - "- Plot series 8: aggregate input signals (tokens staked/unstaked) and outputs (conviction accumulated/decayed)\n" - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "Text(0.5, 1.0, 'Support for Proposal 1')" - ] - }, - "execution_count": 15, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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yhOnTpycURtOnT+e5557jO9/5Tsavm3UklDvKqT5YDQEY1EFqYYVoMPmM7rvjPqiBxasXw+CX5yaJSThnh4/9j5Tyv4/mxY+amU5KWS+l3Bz+3w3sBoYfretlk09LCYkpU6YwadKkY/KeHmuqD1azrW0bXf4u/Pv8qU/IJjqGZqQNHmGEirFuTp3i0GSQku05+5j4jIQQY4CTgQ8SHD5DCLFVCPFvIcS0JOffIITYKITYmCgv27Gm9WArvo7ev7pPQwmJE5n8nHxK7CWgQ/Om5tQnZJOwz2gwmenQMUpaZP/naZIca2QeDT9uSNYwwZx9sxBimxDiUSHEUSnvfNSFkRAiD/gX8AMpZVefw5uB0VLKWcCDQMJqbVLKh6WUc6SUcxKVTziWSCkJdAdor2/v9fqnrYTEiUZpUSlfH/N1kNC89TgQRgwuzWhY/jDG2saawmhwo0bm0fDj4USNEszZ/wuMB2YD9cAfjsbgjqowEkLYMG7qCSnlc32PSym7pJSe8P+vATYhRNnRHNMRI/v8DdNfCYlly5axfft2rr/++qyVkNiyZQuVlZVJS0gMBo0zm+iqTq4ll1JbKXr14JnkE2G32EHCiNzBkyRVqhIbtkFR8G/tP9ay+LOLzWjDwyDRnC2lbJRSalJKHfgbMO9oXPuoCSNhzI6PALullH9M0mZIuB1CiHnh8bQerTFlAqmHv+B9vuefhhISJzJ7D+zlnp33cFnpZczxDe4oQauwMtw2nArH4Ilcq2+r5+PujweFZrR8+XI4ANq+QSAZjyOSzdlCiKExzb4IHJXcZ0fT5jUfuBrYLoTYEn7tJ4QrMkgp/wJcDnxXCKFiuD6/IjOQRrywMLMRcIWFPf9Hwmr7CqNPQwmJ559/nltuuYXm5mY+97nPMXv2bN54442UfR4PSGl8riJHQAuDOqJu7pi51Nnr6PZ2k8sgScKsATrIoESQ3TpLQgqkLgm2B7Ga6TcHQrI5+6tCiNkYs141cFTCac0SEgNEDag07W/ChYviqYYfzywh0ZvjsYTE7pd38/SPn+Zs69nsatnFjatuxHaSLdvDSkjg7wHuuesePrPgM5zx5BnZHg4Ah354CPubdiqfrYQsB1w+cusjHHr5ELf99TYKFxWmPuFTgllC4gTDqlgZljOMYutRCSg5YdBVna6arkG1F6Y/dF0HCTmuHCqtlQT2BrI9pKR0ejpZlL+IifkTsz2UKCNzRlJpqYRgtkcC88bPAwkhdyjbQzEZAKYOO1AkqLqK1CQ2aQNhlpBIxLt/epdVT63i1CGncsniS4wg0UFMxBd4UulJnOE7w4gZGqS8/OHL2AI25jvmZ3soUV7a9RIHmg5wQ8cNuMjulgC7YgcdQh5TGB1PmJrRAAmpIZr8TbSEWrI9lEFNa20rOS05zPhoBjyR7dGkJuILVFwKWEHfO3g1ukWTFjHSNpLW7sET67O5bjPtoXYCnjQ1yoPA4xyV6LvXNrwGGgS7B4GaZpI2pjAaIJFJK1/JjwtiMOnB6/ZSYi1hTMGYzO/KrwLWZ7bLyJ4doQj+2vlXXlrzUmYvkEFGFY7iHc87bGvalu2hGOhwztBzQILmT0+67F2zl9f/9jr6jswL/VPHnEqxUkyptTTjfZscPUxhNEDsVjvDXMPIU/JMYdQP3i4vOUoOv238Le8eejejfbvXuen4fQdkMMF2NJpOEThznbQ0tgzaz7e6qRoYRJteVRjiGmL8608vtvvjAx+zrmkdalfmY8HPmXgOt1bcSl7ILMt+PGEKo4EiIaSH8Ov+QTtZDQa6O7vJseUwO282QxxDMtr3Y8sf476t92VU45JaWBgJQWlhKa3eVhikdfZe3fHqoMpNF/KF2NCwwfCnpimMRhSNAA08HZl/k4P+IIf8h/C0DdIP0CQhJ2YAw88xbNKZYhQQTqLtD/hp87eBCsNkfGbrw+V4KCFxxx138PLLL2O32xk/fjyPPfYYRYnSo0vDTJdrz2VR/iIyvRXGYXX05ELLEOVF5ZxefDoOq4PSglJ8qg/vXi85p+Rk7iIZIiKEBosw8rl9HOg8YAgjX3rCyKpZQUu//UD43+X/S3tLOxcfvJg5DO4NzCY9nJia0UFgTAYfMYJN02JmwAxpRpESErt29VTXuPvuu5MKIjBKSGRaEIEhjOrq6hIeW7RoETt27GDbtm1MnDiRe+65J2E7KSVqQCXHkYMqVNRgZiec0aWjcRAWSBliRMUIPlvxWVw2F6WFhq9h96u78XcMvgzeg00YqUE1uhE8XZ/Rul3rDGHkzbwwcuAACRNyJmS8b5Ojx4kpjI4isZuEI/9/WkpIXHjhhdEkraeffjo1NTWJ3yNdgg45thz+WPtH3qx7MyPvfYSWrhYCaiCjwkgLaQS1IFJIhlQMQREKLy99mceueCyj18kEum4MSGqDw06sBbSoMEpX06lpqjGEUZpmPdzAvUDqjFZITTLZMZlC3dzwejxhCqOBEq4lA70ng09bCYlHH32Uiy66KOl7NMo1iiJnEYqiZHwFv69+n/EZZNBMt3HXRn7z8W/waT4KCgq47YrbmOacRueOTmjL3HUyga4ZG3QjQinbqAE1+ptIV9ORqrFg0YLpfYit+1t57e3XaH0+dTi7FtLYF9hHfesg3ixmEocpjAZIL81I7/n/01RC4te//jVWq5Wrrroq4XFFKFw39jrGFoxFEUpv02YmkBh50DKYlXlU5SgWlS3CZjVSAOUX51M2rIyADCC9g0MDiRA10w1CYSRCaealUzE0qTSF18FPDrK+aT1V9VWpuw6pqFJlS/2WlG1NBg8nZgDDUSSZMOqvhMTGjRsZOXIkixcvzloJCZvNxpgxY5KWkOhrkkvGkiVLeOWVV3j77bfjrhlFAn7AwVHRjKLF5QI6lgzVuB5aMpShxUN7lcyeXT6bcaXjoG8VriwTEUKDxmcUFkbX5l/LmMIx6Z0UYkDCyOP2gA5eX+p4fk01zIZBv7np9XjC1IwGSGQ/CtDLTPRpKCHx+uuv87vf/Y6XXnqJnJzkUWaBYIA/7/ozIWcIRRxFYRTMXL8+v4+2QBsyJiqlOLeY0bbRCE9ms1DXb6nvtZAZKLqmU2YtY17hUSkrM2DUgAo6WC1WI9t5WicxIB9TkasIdJhWkbAYdO+uQyoICAXMdEDHEyemMBqFkeg8U49RPV0n04wiJSSmTJlCe3s73/3udykqKoqWkPjMZz6TsoTE73//e04++WT2798ffT22hMSsWbNYtGhRL+0qQqSExOmnn96rhMTGjRuZMWMGS5cuHVAJiUQBDDfffDNut5tFixYxe/ZsbrzxxoR9KCiUW8qxOq1HRxiFu9MCmTP/bfpoEw9UP4AqeyZHt+5mm28b3U3d/Zw5MPav389fb/orGx/beNh96LrORMdEhtkzt7XgSNBChiayrHsZu+t2p3dS+G1OVxipwbDAS8OYo6maIYyCpjA6njgxzXR3H72uYwVQ7P9Wq5V//vOfce1/9atf8atf/Sru9VWrVvV6Pn/+/F6h3UuWLIn+P3fuXNatW9er/Xnnncd5550XfT5z5kyWLl3aq01ZWVlUW+tLbGLX2NITl112GZdddlnCc/bt25fw9b7YFBtXlF9hmOmEknnfxlHQjCLBKIqlZ33WHGrmuY7n+GbdNzNWN6i9qR180LCxAb51eH1cMeEKuuq7qO+uZyhDU59wlIloRm7pJuBLrRpJXUIIhluGMz53fMr2AB3tHaBDbVstRSTY2xY7HjWsGYVMYXQ8cWJqRkcRi7BgxUqJpQSrODFl+RETiXSzgUWxZFwY5dnycAkXDiW96ne6qtOyp//EtpESEkLpMcmNKBrBLWW3MNwyfEDj04JaUjOcRVgGtB8nERMKJ7Deu553Wt857D4yyYThE/jeuO/x47IfM7todsr2we4gSJhmn0YBBWldw9vtBQndvv61VKlL5pYbFohgKDjowvJNkmPOpgOkwFVAgbWg14ZXs4REbzw+D0/XP82VtiuPSgBDri2XEnsJFj294IXljy7nvUff49ZHb40WROxLxPwaG5Rhd9gptZcae1zSxQ/v3vEuerHOwrsXxh0eUTkCgEpb5QA6jRmnLvm49WPOzTuXyuLD6yPTOBQH5ZZyI/gjDZ+R2q2Sa8mlOljNhPYJlFOe8hwtpIFOyoAVoQkuGnURnVs7adfbDXOgPb37MMkuJ4xmdMwq1krQ0fFLv2GbNumFlBJd07EoFlBgeuF0JrkyW/qz1dPKbt9uAt70vOVV+6qgE/x7kmdTkJpRLltYeoSRKlTe875HzaHEm3vjOwFehF3rd9H6euL9MLmuXJBgCR1eFKCu6jz10VO0qC2UWgZHVuq6+jrWta7jsY7HeK/mvZTtc225/HDGD/lY/ZidDTtTtofwfiSdXppOd1N3nMYrVYmqqdiwEZKhQVHszyQ9TgjNyOl00traSmlpafJw4wzR0d2BpmkE9ABFoSJyGHy5y7KFlJLW1la66rrIdRg+ljNKz8j4ptEpZVPYznbcbreR+iUFakAFDawy+ddd13UEfcLjrYI33W+yoGYBIxiR8jpVb1cRfCWIqBVoxYkXKt2ebpBGtdbDQUHhhmk30LCmgb2evUwg+ylvDhw6wFsNb2GXdsq9qbUcgiB0wY1FN5JfnJ/WNSKaUayW/a97/0XVuioWv7s4OpN53V5+v/734DPMuZhuo2OCEOJL/R2XUj6Xqo8TQhiNGDGCmpoampubj/q1fG0+8IMdOx3ejoyH/R4XRH7gtvhDDruDDY9uYL7N2ACsShUZ6qmKmwkunngxCzYtoMCZnr8hIoxkKLn2LKWhGcWO0WK1YLPY8LvTy0/XVtfGKxteodBSmFRrbm1rBQkt7uQ+LKnLXr6rWIQUDMsdxhv+N1A6lEEhjE6ffDqnjjmVh/Y8ZAiNFDTWNrJi7woWioXkyvQCQy6afRE7/rmjV9YTp3RS3lVu7AMrMV6zYmXh8IUUegopshVlVRhtfmIzRcOLGHfeuOwN4thxSfhvBXAmsCL8/HzgPeDTIYxsNhtjx449Nhd7EHgawza+CPjNsbnsYKLx/kaUDxTKnyiPEzCeBg/BriAuh5FK6Knapwh0BPi2/m0ytD+Vxs5GcmRO2j6jPFseHXoHToszaRtd01FQ4u7HaXPi96QnjGaOm8mEsRNYtm8ZqpY4ZPmkkSfxxRFfZGT5yITH33rgLda+vJZfvP6LXibDCGpQZUvjFlq0Fsr0MsM0mOX1kEVajMAeq9XY45OCkC9Ep7+TzYHNTGybyDhST9aKqsRpRkF/EIfeO2Guw+rg7MqzjbLxKunvezoKrH52NZW+yk+FMJJSfhNACPEmMFVKWR9+PhRYkk4fJ4zP6JgRBN2is8m7ibqWxNmtj2e6aroIevo3tC9dvZSlW5YmjFSKhPnaLIbadErJKczNm5vRqKZHNzzKn1r+RJc7vdQIQ/OHMkQZQoE9uSYldZnQxOu0O9MKVwawK3YKLYXYrDY0XUt4z1aLlVmFsygRJQn7WLtuLRwA9weJoyYCvgCvHHiFbq0bHX1Q1NT66MBHrGxdidWSnjAaUTKCG8feyO7Qbra1pFetdtPHm4wUUDGa0b7afdR4a3q9z6pfpd3fToPWwPbu7eje7IXTnT7sdKYr07N2/SwxMiKIwjTSa6dmck4IzehY8sjaRxjVNYq1HWs5t/FchjE4Nh5mij9+649UlFVw0xM3JW3T7e82zB86cdqOHjImSIswDkwrnGYUqcvgnHDeqPNYtWsVHZ0daYUG/8f0/0BfriODMs4vFGHi8IkUFhfGaRkOmwO/Lz3N6JO6T6hurkaxKFHTYN/lXlNzE8/tfY4FQxYwkYlxfVQUVtAUaqL+/XoKzoy/N13teSN1qRvva5aXlPtr9rOzaydFlqKE2UHiCAIh+hVe1WuqsefYGXaK8fuqaa6JLyio0itxMUBzUzN/3f5XxnjGUN1VzUmdJ+EiecLfo4mu6tj1T10o39tCiDeAp8LPrwSWp3OiqRkNkDZ3GwEZMH5I6aa/P57ohtatKTIj6+AUzoQCJuIzsCiGMPJoHjrUjowKo9EFo42JKZRep9W11fzXof/iYGPyiotjK8ZyesHp8WY6uxN/wJ/W+Ktrq1nZYoQiAVkAACAASURBVGgImtSiWQZiaWxupMHXwJqGNQn7KMsrAx0aPmxIeFxXe7ShqDDKMmpQxYoVi8WSVlLcbTu38bd9f0O36EmF0ZJ7l/Dw9x6OPr/85MtxCVevDAwlthJmumb21ozCefJOKTiFm8tvxqGmtxftaPD2vrf5sPXDrF0/G0gpbwb+AswKPx6WUt6SzrmmMBogakjFarFis9hOyNxXk4smUxoq7bc8Q0VOBWMdY5MLoxjN6PXG1/lH8z8yOmnubjJSzqRbfmD9nvU4cFDoSF7fxuP10B5qj3vdaXfi1/xp+R40VUMgsFlshjBKMLzIyv7C4gsT9rFw2kKQUP9x4vIHsZrBYBFGWkjDKqyGz0hVU5oOO9o7qO2uxWF3JNekVKCVaF9W1cqdZXdyWuVp0Sbd3d1x5tDI9y/flk+ZtQzFf2ymuO6mbnY833uvoaqp7O5MMz3SicVm4FUp5W3AG0KItEImTWE0QNSQilWxYlNsJ1zuK6lLVFWlydOE7Eg+ozR1NfGJ75OEk63D4mBW8SwK7cbErwjFmDQzuCVrfe36gaUDCsDJjpMpsiZPI7Nq2yr+Xvf3xAEMmt/IQp6CSBCExWIxctwluGepG4l282Rewj5Kc0uZ7ppOfUN9wkiwWM1IIgeFz0hVVazSalgLktx3LEFfEIu04LD1I4x0egUgvPbha6z1rO2lbQb8AXZ270yoGXnw8L7nfdxtA9mxfPi8/3/vs+y/luHdE5NVPFzqZDAsGI4VQojrgWXAX8MvDQdeSOdcUxgNAF3V0VQNm2IzVoEZLqedbVS/yr72faBCoLYfVUAHr+pN+CMrzi/mi6O+yFCXkTNNEYrhaNfh7i/czeqHVh/5QMPXTVcYXT7hck53nU7Qlzww4+SxJ/O50s8lNtOlKYy0kIZFWDi3/FyuKrkqoZkuUhgv2Yq5qq4KIQUTlAnoVfH3l9BnlGXUoIpVWCl1lVJiKUl437EEfUHswm78hjQ18T3oGEIt/L7vq9/HW+632NFiaB9Skwl9RpHNsZ2ykzfcb9DeEq/tHg2KXcXgBa0uRhKHcygOhs/oGPI9YD7hwitSyr0Y4d4pMYXRAIisuqJmuhMsEaMiFSYXTQYdOj7qSN6wvx+ZRq9wY0UxNCOpSvRGnbeXvn1EY4xoFpC+ma65pZn7Wu5jf/3+pG2Glwxnau7UuNfPHHImt5bfivSkVkE0VcOChWJXMRWWin7NdJs7NyfsY93H62gJtXBxwcUou+N/nhFhZlWsUSGfbdSQigULnx36WS4vuTy1ZuQPYicsjJJoUmeOOBObbotqRpGFnzdoaB6av6fUeWyRxYiZzukwwvhDnmPzG9VChlm2VxbyiFb06UrUEpBSRld9QggraervpjAaAKpPjU4E6YaxHk9YpIWzhpxlrCwP9JMhILIaTTAR7qvax399+F/UBmqNPoUFXeqGFqMTNT3te3sfbfsHnpohKozSDGCQuuSRTY+kNOu1dLZQ66+N04xynDkUKAWIrtSbeXRNxyIs1AZq2dS9qV/NSFMTh35fOvtSvlLxFaQiUbfGdxDRjBbkL+CK4isGjTCyYjUiKyWpNSN/jGYk1YTtncJJSA2hdRkzeSgYYp5zHvPKjBpOVt3KgmEL4j7XSKmJyD63oPvY5AN6b/t7oPcpFhhZtH26hNE7QoifAC4hxCLgWeDldE5MKoyEEKf090jVsRBipBBipRBilxBipxDi1gRthBDiASHEPiHEtnT6zSaqP0YzstoIqaFBYbPPFCF/iA5/h5GupvrwhFFRbhFnlJ5hpGKhRzOKZKleVLkIgH/++p88cP0DAx5jrJkqHc0o1B2Kfk6x5/Zl9c7VPNv0bJwwagm18I7nHTyNnpTX0lQNRSrs8ezhlY5XkmtGMpwlPMEknGfPo8BewG9af8PKD1bGnx/2GZXZyxhiG5JVYfTUj57i0e88apjpFCtr29aytGlpesIIu7Gg0xMLo7XVaxlnHxfNcBIKhrBh63lPg6DoStyiJKIZuRwuo4zEMdKMpo+cDjqEvDHXixVGrwKvHJOhHDbJ5mwhRIkQ4i0hxN7w38TZhg1+BDQD24HvAK9JKX+azvX722f0h/BfJzAH2IrxU50JbATOSNG3CtwupdwcjqbYJIR4S0q5K6bNRcCE8OM04H/DfwclUTNdWDPyab6efR4ax/2ura72LpbtWwbC2PyajBxrDl6Z2GdUVlDGBRUXRPcfKUJBk5pRCC82QWiAwyrn3Su0OQ3NKOAORIVnf6lqdF1HEfFrs3atnZXulZzUeBJ5JA46iKCphs9ofuV85rXPQwbi9zVFNLuoMOqzDWXrga1YvBbOLTuXoSK+VlF5cTnfmfQdPLs8bOvexkx9Zr9jOprs+WgP7ISKGRVYFSsOq4McJSdtYbRg6ALjN5Wg/dSSqYytGYviUYzAmpDKWu9aChoLOI3TaKprYvmh5YaZLmYjrBbsI4y8x0YYjS0byxp9TVQzitXg0WDd2+vIXZ/LjM/OGMzzRMI5G7gWeFtKea8Q4kcYAufOJH3cIqW8H/hb5AUhxK3h1/olqWYkpTxfSnk+RmKNU6SUc6SUpwInA7WpOpZS1kspN4f/dwO7MSIrYvk8sFQarAOKwukjBiWKrjA+fzwFtgIuGnoRXyr+kmF22gv8gownBD3WRITtJYWXsNAaX/4gwqzSWUaC0iQZGHxBH7owDvbSjCRsbNpo/FA1DitVS0S7meecx7SS1CWog55gWsJL6vG56QDGl47n55U/Z7g9dU2jiM/IYXeQp+QhgvGmvYjPKJlmtGH/Bj70fshZFWcxXo8vPGe32hnqGsrHgY95vfP17JrpdCAA10+9ni9WfJE5ZXO4vCgNn5EviN1ip9BVaGQeT/A+LBy+EEVX6G7pjlokENDuNwISrLo1obl2eOlwFpYsJC/HWDikyiaSKdwet2Gm8ycWRq/vfJ1/HfgX/r3pbaDOBv3M2Z8HHg83exz4Qj/dXJPgtWvTuX46PqNJUsrtMQPeAUxJp/MIQogxGELsgz6HhgOHYp7XEC+wEELcIITYKITYmNYO76NEUW4RV4+/mrF5Yyl1lUZ/SM17mtm2bhvB94/vfPURs1eeLQ/RKpKaIGs7awnogYSTzo6Pd/Db3b+lSzfUnkhod0QzavW1RlevC3MXplxF9yWiGZUqpWntbg94Aj3Rd/0JowSJUgEUm4KiKNBPPEeEi0++mGsqr6HWX8sKzwqjiFwf5k6ay8SciUl9K5qqYVEs+Gw+Ojo74j6Drs4uNjZvZG7eXG4svzH7wkiDUHMIu9VuzCYxfsFklFhLKHeUc8h3iPWe9fHvg4QWTwvLOpfRVNNkaDeRcPZw0cKSnBIuGnKRMYwYn9HQ4qGcXXQ2Oc4cQzPyHRvNaNW2VSCNWk0AAsGU4ikIKYzfSfjRsSGNL9LRwxqZR8OPG5I17DNnV8ak+GkA4gppCSG+KoR4GRgrhHgp5rGSNJfp6SiM24QQfwciNbWvAtJLKGUMMg/4F/ADKeVhGGZASvkw8DBAbm5u9rw0KsaXSsAn/k9o87RxcuhknnvrOeqr67nmwDWM5RglbD0KRDSjffo+qhqquMh7EYmqbR/sOpjUZxSx2SuKsc45qeAkXPmuqKD7QskXenxvISv4gPSqCAA9mtF7/vcY3j48ZWmHYHdPtc9+zXSRRKl9CBBguXs5U6umpvxsXRYXWGBPYA/vut9lrmcu9j52OLvFTrGlmIP6wcQBDqoxjldbX6WhvoGbAzcbhvIwLa0tvHLoFa6zXmdE7GXTZxmOFntzz5tMCk7C3erm3aZ3+UH3D3plSujLFROvgEZY4VnB6o7VzA3O7WXO1EIaS3Yu4RTHKYywjcDn9/Vot+GqwTIgUTQlzkzn9XgJBoIU2gtRFKXfcP5MInTRK4BBSMEpFacwLG8YaJBnyWOCfQJDaocck/EkQZVSzknVqO+cHZuzUUophRCJvnXvYVjRyuhx8YBRmjIteZGOZvRNYCdwa/ixK/xaSoQQNoybeiJJPYtaIDZ98QjSMAEeK5p2NvVykn9S/Qn37biPukAdO7t28kbnG6DCuSedCyHwNniT9hX0BHn+zufxtiRvk20igqRVtPKR9yP0lnhpIzXJyNyRcSG1ffuwWA3f0OiC0ZyZeyaFtkJum34bk22To1GJb7S+YQijAeC0O/naSV+jU+/kk9ZPUraPakai/wCGZJoRFtjg3UB9Y+KMCLFsPbCVD90fYrEY956otPiB2gN80PlBUsd9RDPKceQYe7n6fF1GDRnF7ZNvJ0iQ1e7VWdWMKvMqmWybzIH2AxwKHEITGh7dk7qkug9Q4KwhZ3FnxZ1xBfAimnOZUobNbUMP6uRZDLNbRDPasn0Lr9a8ygzHDKyiR/Ct27GO+6vvR1jDmTACmQ9lk7rk1cWvUruxZ6pyWBwgMfZZYUT11bprGWsdC5qx2LFihewVhE6LJHN2Y8R9Ev7b1Pc8KeUnUspVUsozpJTvxDw2SynTsn+kFEZSSj9GrqEfSSm/KKX8n/BrqW5KAI8Au6WUf0zS7CXgG+GoutOBzj4ZX7OGp9nDQzc+xLv//W70NafFyWjXaJx2JwuGLeD75d+HEIxwjQAVvM3JBc2Hb3/I1uVbeed37xyL4R8WkYzbC8oXcFv5bSiN8V8PIQWfH/t5vlb0tYRmuqgwCk/Ifs1Pq9aKoip82Pwhb7a8aZgywrZ0vXNgs6lVsTKhYAJ3ld7FGZWpYmgg6A1GtdnDMdPZ7XYQJDS59WVL9RY+dH+I1WpMjr32nIQ5UH/AMOfoKjKYQJiHhZHL4cKn+dC7eo/ZarGSb82nOljNKveqwxJGnQc7+xXM6bJw/EJOd53ObUNv48LyC418hLJPeHMftKDGQx88xJbuLdhtdpyKM863FlkAbvBvoOZQDUU5Rfxwxg/Jt+RHfW6Rz/Ui10U4lJ78c1OGTeEL5V8AATcMu4Gzis864vvsi7/Tz4bXN7D0zqXR1xzCwRjbGIbYDc0nFAixqnYVu727kapEUzU2BjfyzKZnBkU4fiL6mbNfoscXdA3wYj99nC6E2CCE8AghgkIITQiRlkUspTASQlwKbAFeDz+fLYR4KY2+5wNXAwuEEFvCj/8QQtwohLgx3OY1oArYhxF9kTxV9DHGrtvBB/a9PWaWyqJKvjj0i5TklOC0OY0qryE4ePAgaPSr9ZQXloMKpfLYlIquXlPN7lcGlhcrYqaz2MIRbwluRwtpNHY3UqqUIrR4B72m9taMNrdt5sHmB2ltaWVV3Sq2ureSq+Ry1fir+M+i/0TpGthWt4AvwPbW7Xh0j1HjJlX7bkMzmuuay6jc5Jnsk5nphCKwW+1GPyn4xmnf4NqKa3s0owSr8gWzFnDHqDu4tfjWhAEckai+HEcOEom/sfe6r7mlmVUNq/BK72FlYOhq7OJ/vv4/rPj9CgBqNtQQ6Dq8oj8TSibwQtcLrKhZARZ6hHB/wqhbo9ReitPupMZXw1vutwztNbZNWDNq19vZX7s/mmlBIKKaUdBnmF81Reu1yBhaNJRZebNAgVJnKbl6AjtzHXAEiRmCbkMQCm9MifqgiqqrhLoNH5XL6WLB8AWs7V6LHtBRVRUpJLs7dxM62OPHatjWQPWa6sMfTGZJOGcD9wKLhBB7gQvCz5PxJ+CrGGFdLuDbwJ/TuXg6M8EvgHmEXbhSyi2Q2jEipVwjpRRSyplSytnhx2tSyr9IKf8SbiOllN+TUo6XUs6QUm5MZ9DHAptiQ0jR+4ca8RlZ4ZDvEG973kbtUnl98+sgwduRXBgVOguNneF68gJvmWTJH5bw9F1PD6jSZaS0c71az1PtT9HRHu9sDfqCPLvvWV7peiXhZBvVjMICbULhBC4rugxPp7FPR9VVbLqNCfkTjPIPA6y+7e5y89yB5/h719/Z07onZXuHcFBprWRRwSJGOhMXtIN+zHQYfp50fA9CEyiKEhXECc1VOuQquRRbixGBBMI8FDbTOXOM71Qf029TSxOrGlfhx4+UMqGptD+6GrvAC1XvVaH6Vf5++9954xdvDKiPCDWtNZRaSlnTvoY93XuwWlILI7tu58oxVzK5YDJNgSbWetbGVdKNCCME+D1+GuoaeHLfk3TpXVGfUUQY/aHjD7R39EiW1rZW6gJ1oMAW7xY+avsofhDPAvcd1i0DPdsFYj8/n99HTaiG9dXrjRd0mFAwgUvyL4GgsUirzKlESknNiproeX+5+y8suW3JgAN5jgb9zNmtUsqFUsoJUsoLpJT9BiRIKfcBFimlJqV8DPhsOtdPRxiFpJR9p4wTaKtnYtqa25BSsqe+Z8LbtH0Tv9r1K9y6m1a9ldXu1XTVdtHd2Q1At7s7aX9+r1GGwO89RqGdfoyJfgCXU4OGZhQQAfb49+Dvjj85Es12IHAg4QStqRpCChSr8dUqzylnhnMGo4tHM6toFnkiD2+7lzcOvcHi5sUc3Ju8rEMiiguKuWXqLXh0D4c6D6VsP2PEDL47/Lv4hM9whCdh/oT5nF94fmJhZLMT8KfWHt796F02eDb0TMqB+BlmR9UOHq9/nDW+NQk1kkgWhxxXDgDext7CSGoyutcNBpAsNozmNRYc1qAVi2bBErCQczBnQH1EeHbrs9gVO7qu06a2Re+7Xz+ND2PitdDT3te7fTTQRBiabcgXwu03Ep5KGaMZaXBR3kXk2HvGv3rHap5ueBoEvN/1PlvbtsYN4f/W/B9/efYvh50ZIeqHjP34VEDCWKexTvd1+9jYtJFyS7nxG5QwsXQiLpuLD56ICSrWMbS0wetKHiheIYQd2CKE+J0Q4jbSzPSTTqOdQoivARYhxAQhxIMYkRMnNEI3QptjV7dqQEXVVKw2K0UFRgbohm0Nxo9HGJE8yag+WG3kfOs6RqGd3Rg/tjSCiZ74wRPsenUXoytG86UhX6LAaRR1S1SvKWISOdV5Kg4RXytGCxl7bSKTukf1UB2oRvNrOBQHmq7RWN/I+43vgwRf68AiGCzCQqmjFLuwGybBVAQBHR5se5A1dYlrCAGMLR3LSc6TEh5zWB0E/anfyB2HdlAVqEK1WIyo5wST8sGmgxzwHWB593J8XfH3rmkaiqIYmhHxwiiamy48kcvQwNaFNs3IYuDUnAhNYFfsxkq/H6pWVdG0M85nzZenfJl5efOiwjFSwyqRryzC/j37+d2Hv6M+UN8jtPu076UZef2MLB/Jd8Z9h4nOieQrRuhl0B+kQCngtNzTjCjGMNHURApcN+o6Liu5LG4MHzV8RENXQ1rh+omICKOz887uGXNIY7ZzNsNsRjHAgD/ApuZNbPdtj+51c1ldzJ00lz279tCyrsU4MZK77sRJc3k1xpb3mzFmoZFA/IeQgHSE0S3ANIx1wJMY++bjUvucaJQUlFDhrKCc8uhrEQe/1WqluLAYBNRsrYk6yL1+b9LV1qQRk4ycWceg6mTQEzQmYZWUX3KpS/au38szv3qG4pxiZubNxGU3xpgo3U7EJzTCOgJFxn99IlkIIt+sj7s+ZknbEqpqqljftB6f5mN4wXCuHHklCPA1D0wYubvcrG1YS5Bg76qfSVi1cRVP1j3JJSWXMC0v+SbZho4GGoINSTWjYDC1MNI1w99TLaz4+ibNDCN1iVM4+Wn5Tym0xddX+u7M73JOyTnk5Bj7ZLxN/QijFBGCiRhWOAybtFFmKaOjtQNfyMfWhnjtIZal9yzloe88FPf6yLyRbPJtAoxFQtRn1E/RSW+HF2/Ai9URI7z6mPUi94gwJnVCgApfK/kai0qNdFJBv2Gma9KaetUViy6GFHDYHcbm2FiksXn9bMfZMDClPMqo0lHcOO5G5th7oqTVkEqH1kGX2/DVRza9bvBtIOgJcufJdzK3eC6nzT4Ni7Cw7g/rABhRMILxtvFpLRqPB8JRdT4pZZeU8pdSyv8Mm+1Sko4w+qqU8qdSyrnhx0+BXx7ZkI8DVHAojl7mmVDQ2HxntVvJz8/HYrFQW1ULulHMK1EoboRCZ6FhZ1ZTJ9w8Utz1btBgsnVyyi95NBtCEDo6Oqh2V6PYjK9FIp9HxEy32beZgDd+RT2uYhxnFJ4RndQjE05LWwu+cDSzTbMx1jUWlIFrRp2dnbxV+5YxvjQ0IwcOckUus/JnMcyRvET8v7f+m9fbX0/ch91BQE28yTeWSCScplvQ9CTvXzjE1yZsCTM0FNmKyLHmGGY6ER8UE3n/o2a6gUbF+Y3sBWpAxSKN6LeU1VCDGMG8fZSwnY076dQ7jc2lMtSj6fQjjPweP6jgynUlFV69NKOAn527d/LwvofxKj0pqIL+IF3BLh5qf4iWjpbouapqlLNAgc3uzbzf/n6vIA8tpKGrOjbNlrBERzrYpR0lpNDY3Rj9TiwatYjqYDWr64wSKdHPRYLu1XFZXNisNnLzchlVOYqGrQ2gQ5eni2Z/MzJwfHs+hBDbw/lFEz7S6SOdTa+XCSH8Usonwhf9E2SpqPwxpOpAFYfch7B4LNH8c2rQSJUvbAKhCApzCqltqIV8OKPkDFxBl6GYJtjE2dbWBpIjqg7r7/Dz8fKPmXl5//nIHAEHCysWMqVjSsp9PFHtJwTbPt7GikMruK70OuNYAjNTxEx3KHQIr9drpAWKYeKQiUwsmthTQiKc7y0UCOEPgKZDU0OTsUdIAV9n7wGu+d815JXkMfvK2YnHGw6QANLSjM4YcwaUQp23DqfXSQklCdt9dspnjd10iTQjq92ouxMA+nGvRIRRQU4FN5T8kJPy44NVdE3Ho3r4t/vfnNZyWq/xSF2y5uAaRvtHM8o+ikUlixjN6LjzIRw6nyITeSI2bd2EL+jDJV3kO/IZlTMKi9fS/0kRc2+AXhtwX/zoRYKaYYLqlt3kOnKZ6JiIS08+Pfi6fIaZMMeJNZhYGDltTmYWz6SupQ6/5sfd5qbOW8eL+ouUiTIWsSiqGUGf5LkxZuI93Xvo8nRxhnZGdNkdyeawwr2CvLV5nHLZwHMz19XU8fDehynxlfD94PfBBbNLZrPSsjJacDN2TO5ON5sObmK6Op0hDMFut+Pt9IIKXd1doEKoMxS3Qfo44+Ij7SAdzegy4NpwuofHAU1K+a0jvfBgJxgwfmSaqkW1CzXYY48GKMorMn5IKkyvmM7JzpOTRoftrtoNOpxadOphj2n/8v08d89ztKxu6bddnp7H7JzZdIY6Ud39h+lEV6EhmDl6JtcMvQab3WYcS7Cyj5jpIPFEGPAH8Kv+6HsUycQQ8AeR4eZV1VW8VveaYabr4zdZ/sJyXvh18sKQsQIoLZ9RANDhqdanWNOY3GdUkTeUUN5Q/Anm9i+N+hI3ld2UUsuMBB+gWMix5GHV4td6kfF/4P+Azs7eXxZd1Xn74NtU+6sBmF8+nxHqiPjzY3xGA9WMnNLJZOdkzis8DxmS2IWdYChIfyHiUwqnGKayPonLNVVjVJ4RLj8sZxhluWV8reRr0cKKifB7/NiwYXVaezSj7t7f0ZL8Er406kuMdo0moAWMzNs65NhyjMzdwPjC8YxzjIvbP6apmqHxKSTMCh7q7kktdDglTAD2Vu0FDS7LvwyCxiKirr2OAIFo3aWoqVGCp9PD+w3v0xI0frdWi5WQHjLeU83Q3i2BxAuC1r2txyzZ65EQNs8lfaTTR1LNSAgRu4T8Nkbp2LXAL4UQJanC+44n2g+0Uzy2d1b0iH9ovG18dEUYqWjpVcCBIYyQQACseVbq6+spayrDNskWd42QP4RVWo1w5sOkwFkA3dC+oZ2ys8uStnM3uNlUu4lVXau4re02Con3TUSwCms011uRq4giZxHN1mYQSQIYYs0PCSbClz94mfq6em4RtwA9mlEwYEwCChbDp6WDy+7C5+mjuvnpN4FqNGu36EkN0x9LVi6huLXYSNjajya169A+6nw21H2jGTex97FIZGCqxK6apqEIBa8WYK33PZTGiYzok2pRShmdDPv6ShSpcNecuxCfGOpZl7WLUEuIUnr2pkUmudnFs5ldMZsc68Ai4aYNnWYkmA3B/qr97OvcZ5iWAyS2d0gY7hzObm03wcYg9rKe1buu64wpGMOVi64k1xXezyPoVxv3uX04hROsJA8FDxdodNqc+D1+Qt0hhBRcWnEpQjHem3NGnMOIghFUNVf1+h6qQRWXYmTstirhekmhnnsLesOJcxVoqzu8KWz+xPmcOuJU8lrzjLDtoMbD2x42NvyGYhKlhimyFvGjmT9DDwdMTC2cysjOkaDCmcPPpOxgGZZgvDAK+UM8+O0HmXrqVK744xWHNdZjjRDCTY9B1w7YgG4pZcqJrz/NaBNGqYhNwEqgCPhczOsnBFUbq7j/6/ez/entvV6PmIM+l/O5Hs0opGLFxkYF9tVDcZ4hwJSQwiF5iL+2/JXm6uZe/USyBkc2xX3SntYiISFCGvmvWj7qXzNas24NqxpW8c3ib5KbKLlcDFZhZfHcxdwy5BZq62vZ3b27Z59MMjNdP1mwZ4+azbmF58ZpRqGwMLqh5D+NnHS6IVx93T0zl9RkT+BFEhN6dMVJeppRV1cXqlANX46WvP2qPW/zYedaAgnk1d7uvbzY9iLS379dX1M1FMVCCJV1vneobapLPH4whH2fSVjoAquwGtoV8GLbizx/6Ple70Xk/l02F4WWQqOmz0DwwwsNL/Ba/WuE/KFofrlkWp8W0NjctBl06D7Us3VB6hIpJYpQyC3NhRzoCHTw303/zc6anckv3+3HJVxgC2+SFfHfs7379/Lrrb9mbO5Ybi69GbXbsEgIi4hqcNIro4uE2Ik/GkBDWDPqU7wv5AvfsyVsOj8Mt5FVteINeNni3YL0SxRd4asTvopTcRJJ5BxdNIUjclu6YF9Ys5xaPJXTck4DFeYPmU++yMffGb+NQgto4IP9m5JXKB5sSCnzpZQFYeHjwrCsxUe/JKC/EhJjpZTj+vyNPMZljFCxRQAAIABJREFUaOxZp6G6Abqh7r3eE0dkz41Vs0b36oSCISxYCfrB2xzWjIBLSi5heOlwvlL0FYrVHg1r73t7+c1nf8PBNQeNFZOErS39Ry71x8E6I/ynqTo+zDaW2ZWz+XLhlxntGh21yydDDag0dTfhD/j58OMPeaXpFaw2K7mWXCPDQRtGbozw3sHSwlKj2qZMLKxOKj+Jmbkze5Udhx5hhFCMSVhCvjMfX8AXnRCETzAhfwLDLMOSBgtEhWGamlHAF8ButRvZw/tpL6VECEGCmALatXaqglWE2vs3l2iahlAsOCw53FLxC04tmhs/fr0n00NfYRTwBXit+jUO+ozP+ewhZ7Mwb2GvvWJzJs7h9jG30661847nHXzegQWAPL3qabZ0bcElXVHt/yTbSUm1vmB3kDafMWkHGnsaRSbbyOcLhm9tkmMSBZbki2Bftw8nhmZUnFPMnUPuZGpR73LvRXlFzCueR0VuBUW2IkJdIWzCxjPNz/Cvpn8BcO+Ke1nuXm6MJdRbM1IsVjwkMdP5jO9hubOcNn8bsn3ggQNb92zlH/X/4AX3C2huDUVXmFQ4iUpbZY8w0nosCI1tjbx68Hnq/MZCNSADdKmGr6i2vZYn2p6gpSF+gRm9r0GwIfZwCCc1eAH4TDrt0yrzJISYDkwlxn0ppVya/IzjhxHlI0CHckd5r9cj2Qj+2PpHftz6YxwjHYwuGk1+TglSh5AFZgybws8qf4Yl3wKFMDlnci+f0Sd7PoEuOPjmQUKBEBZp4cLiCw97rDPGzuBN+Saepv6rjg5VhlIgC9ga3Mq49nHk95MWu6Otg4d2PEROSw4T/ROxCisFrgLuGHIHlMBHaz7izb+8yTf+8Q2KflqEc5KTCfkTWC/XJzTTtXW2IYKCYiWsNYYnq2DYsft81xOMaSvEgoXxhePxqB5jss0Bza0RCoaMH3SSYoWRH/n1ZdcztKz/0le+Nh/dXd2U5JRwKHCoXzOdrkuEUBIKo3lD5jGvfF7/YfIyHNqtKKAIY5mXILJS6hK7Yscv/PHCyBtgfeN6KnMqGcUoxhSNgcZwP2Ezk91ix26xUx2sZqV7JdO7pw9ou4Cny8M42zjOzz2fLYEthvbv+lzSzdFOq5O7TrkL0SawaD2mpMhnH4mWBMix53BJ8SX0V4PQ7/FTqBSCAopFMfYI9dHKygvLWVSxiJaWFla7V9PZ2okVK92y24hGlXBm+ZnobTo1nppevssLxl5Ad4uTD9pB6MmFUWVuJc2tzXg+8pA/P/730ba/jWB3kCEz47Ns76jagTvoNkLP2wPoZTrVbdX4pd/Yx6XTqwhkR2cHOzu2UjrkFKQGa1rWsLZxLT8L/owntz9pBDYl8AtF/bnHUdlyIcSXYp4qGIVZ09p6n05uul8AD4Yf5wO/Ay4d+DAHJ7m2XNDBpvf280TMdKc6TkV0GzPUvDHzOLdoIVIHVQFrjpVdoV0c9B1Ed+jsC+6j5WDPCmfa2GmgQ4lSghpSKVFKcMrDTweU78xncs5kOjo6+l0t7d+7nyq9iue7nqfx/3N35uFVldf+/7x7nyHDyTyShDCPMggIgoKCM0Ur1XKVaq1aar2WXtva1uq1zm2t1VptnccqUnEWBEQREAVB5imQQEhCyHQynnOSM+69398f7xkSkiht731+etfz7AeSnLPHd7/fd631Xd/V2PTl+0xOI9ORSYpMUXRfdAUCAgiptgjF9mJWHl3JyjtW0unt5FC7cpP6AqPlO5bzbuu7CWp3VKctHKXFSyThQBgbNmbkz+B81/nxHENtZS3VnmrcIXe/1xcLU9l1+1eGqJrKmiACBekFUcr1l7eQANE33sTm2y9bA0i4c+qdnJU7B0tK1vqWc7CxtzbgFdOvYHHRYkWHDvY8WuzaYnm2DtnBkcARZGdi9X70+FE2tGzglOxTuLPwTrJT+2YH9mfBrqDK2choHZQFuqUjfX17CMIU2LCpcdGY+H1souzRHVfwlRJFg1MGMzh1sApTYrDWt5aqpqoenzFCBsFIkBbZwse+j2lpbVFUeC2qTReBsweczUiXSu51H4ejs0ZTnDqYsBeskArTdRekzXHlMK9wHoPTBwPQWd33Q33stsd46sd9qzSEAgkl+LA3jLfdy9KKpTRFmhQxwYDSolIWjVgEdMtT2XSkAaMzR3Nx+sUQUC1WkBDx9R55GqpFRqr48lD718wu6bZdiGohcenJfPFkAs7fBc4FGqWU1wET4Usy4t8w62jrAIseuQuIhuksmJs6F0dIJW1lSKrcahSMsMNb3rf4sP1DhF2wtGMpe44kwnAOzaF6nPgMjLBBc7iZfW09c1P/jNW766nx19AeaEe29f3CS0vy6uZX2RtR1P6w78spYE6bk5+d8jMWZy/GDJvYsGEKk3+0/YMDDQcYlD+IywsvJ5QcosXbQkNTAztaVaFjX2AU63YaA6Pc5Fwuy7iMLJvylK7MWESGlqGIEw6VJ4pNtpl6JhioPFd/YbroinNbcBtb2rd86bU1HmqEIBRmF34lgSEWpusLjOqD9SxpW0JL/Zfk6kwl5IkmEAjKQnuo8/TRDcUCu7CryfgEuaDYBB/Leez37GdJ2xIMb+Jz1Q3VbGzfiKZraEJTSiExM4DP+dKVdLArSFmwjBeaXlCrcQv+3PZnOpv7npS9bV5WVa/iUc+j7Ny3M3EZsTBddAoJAa2Gn3sa7uGL2i/6Pf5FRRcxI0eprQtNsKVrCw3tPYX695Xv44GDD5Cflc8dRXeQ58/Djl2FWrGwAhadgc54N+Hu/YxqW2ppM9uRApA2JBIrkHjuGUkZTM2YSlaKGo8nMvli5hAOaAWC8NFjH/G37/8t/rfu9XVhTzghMKzpiRyVBVmOLC5OuZhsW7ZaiNlsWAYUpxUzOXkyIiC4oERFSsLe3u9palIqozJGMS1zWr/38+tmUsrrum0/klL+Tkr55XmFqJ1MmC4gpbSEEIYQIh1V/ta/4uQ3zGrralWdRKCnrlyMwmxoBsIj0NF5bsNzaK0uiuVCleYQcPVZV5MdyEZogmRHsqofiFqTuwkkeNu9RHTlGezx7GE84/+lcz1Uc4iAqeo0fOU+0vN7x+a73F1YYYvclFwOdxzuc8XV3QJdAeo76imKFGGEFFtQ2AUey0MoFFIvlhGloxoRSvNLmTdgHiuPreyTwGBGTJK0pDgYuZwuJiRPYFTxeE5p/BZ4BUZQJaR3+naysmkltzTeQsqgFDJtmdw98m6opN8JdWTpSH467KesLluNJ+BhupzeZ20QQFNlE6lmKq58lwKjL2shYapEVESqxUb3BX9IhjgSOoKvzUcufbMYI8EIq4+uZnhgHFIORRM6Rh8KFp+Xfx5Xdj6RrRgD91hoszvbLEZpPmfiOcwaModdkSaOe7YxyzOTTFTukiPAy6iwXj9d42PaiF7TG29yOCtlFrZA31OBr8PHF01fqNV7R2IsnXiulUBdi4aUPcGh5wWi6vCinqau69xRcgecIGQfi0rYU+3YTreR+UEmSc4kOrVOpJR4mj08uvNRLtAv4KL0i8hLToTYl+xewsDAJDJLL0KTifunRw/a2dGJz+dDc0Rzmf3QpkuzSwk41Lu2adMm2IXKn2YrMEq1p9IV6SLsDSvBVAlTXVMZ4BwAEXA3u9lav5Uz7WdSL+uRFki7jjTBL/20hdso9BQSNpTXFBsTPW8ELBy2UPkW3xATQgxBqfYMphu+SCm/Mpp2MmC0XQiRiUpj70AFKz7/l870a2inDj2VDdaGXnH3rJQsnMLJA20PcE3NNQxlKKcWnIrf5aDLSsyVw0cm9MycdmePvjdej1eJo3YFMZKUp2WY/3o2sjuTrO1gG+mzeoORr1GpL2SnZKtQUF+DvJu53W5eOfIKNMGQ0BB0qaPpGjcW3AhZsGnXJj6p+IQSewlGxMCJk4npEylJLyHb1TtEFK+1iVrYClMfrifDn0eH4WdN++skpfpJIol8Vz7TU6ajdaqJweP2EPFEyLVy+w3TOW1O7LqTKwqvxh5jgvVTs9l4rJFCrRBS+Uo2Xax1Q0QHaYDoVn/odDo5GjrKA28+wCM/fESpI5yQ0zLCBofbD5NjKwEJQtP7ZPsdbz2OETYQmojXpMQsrnjejQ3Wqz+QBQEEB9s9lHm2M9k/KQ5G2z7fxsoNK7l+yPWUnlva69hm2IwXXRuWgREwEJbgnNRz+lUGia36r8m+hqF6greU5Eji2pHXkt2mxoAJdPk1wkb/tU/+Nj+PbHmEufa5TGayWkRo9CJP9OiJVQBzz58L9fBq46tYWPHmjOm2dMa5xtG9VnThyIV4jrmoAcanT+X8gtN61HsdKD/A6srV/GjMj5iSPAWX1XeCq9XXiifgUeUd+cOot+rVzJetRFozHBl0RboIeUPYQuo5jUoZxRD7EDCgq7OLso4yiswipWUnAZsNacIh7yGWty7nh8d/yPMHngf6BsXmpmb+se8fzMuYxzCG9XmeX0N7F9UTaQX/JFfxK8FIShnrMfSUEOIDIF1KedJtx7/ulqQlgUWvOPfEQRMpKCjgKc9ThDrU2zK1cCpNmYrXboneK2hd03uEgqaNnsYH8gPshp1vjf4Wr3z0ipoQo4oO/6zF9j3KOQp7fSLHZQQNtr64lek/nB6nrqbaVZz5qwrm4ooGUq2ak0SSOjcNCCvZlbAZxpnipNPfSUtLC5VtlUzQJ/QvlKrpNANuC7JDbbzU9hIjqsbS5InQajZzRdaFDHcOJy89j5K0EqKLfjbv2MzWyq1MNCfyHfM7fZ5vo7uRXU1HGWyexijhQDPpE4zMsEnz8WZFobXDzNyZSCH7vfeWlGhCYNjACoHWbYKr99fzuud1QhtDfHHmF6z8/UqKthTBHcTPPdmRzC0Tb6GzATZboGm2PhceC05bgLEHZFYEPafniZ8YputLSHRf5T4qWusQucORVk8mWcOxBgiDp6Xvyutgh1KOF5rAkAaRQARNanTKTpK8SXHvq7tFgsqjt9vsipwTZTLaNBuD0wbH82gWYNkF4X7qz0C1XJiaM5W8SMKTWelZSXFjMaeSUNw4sScWRWoTqwRSyjijUgqJO+ImPZROEkmYIZOBSQPRknRqAMtuwy7oQZAYWTSSjMIMCjMKFdmi9yUD0N7ZrhDWVOF2Fy7wqDB4KBjC5XBBlwrTEVL3JaSFaAo3UWAUMKRkCDcOv5FHah6hxF2iPEabjhVJPNegJxi/n301b7TrdtqCbWwIbPgmgVFQSvnYv/LFkyEwfBz7v5SyWkq5t/vvvulW11BHni2P4a4TFJtNcEqnYsx4FBh1+brwizCWFQWjExa+mtB6rL41S8OOnbA/zADnAOVdWIop9q9UVVuGRZKWxMK8hRR3JIopKzdW8tHzH1H1WlUcXJIcKlT2VX14usvrBDoDih0l4O8tf2fT8U1x1YlYzUZ9fT2rG1bzafhT2j29O5TFJHHagZo68Hiz+UHOD3BIB7XBo0hUTijPloeBwTrfOh5c8iC7du3C71USKY1GY79huuONx1nX/CGb2jewuvWDftdeRpPBlLQpDMtWL/HwtOGMSBrR7+elpfoZRXQwut0y0zK54aMbEAhun3U7Bw4c4Od//DkPvfGQik3FP4hi1EHcM4r04YmFg1CRDGHLjhbp+frFFht9heliVuuuZX/nXtC1XoXHswfNhkj/ecJYHx6XzYVhGRS7iim2F/Nw+8NUVvZdyxKjf38a/pSX6l6K86JiTQ47DFXJKQGkRsgGYX/fNzmZZC4ovICBrkSU/2DwILXenq1ATEMt2OJgFDUNTeWAogDss3w80fIEFU0VfPHiF9w35z4+OPgBraaS3qoPNfKB9wM6OxL5sKykLEYnjUZP0tW+uvo5V1uyyodZ0NTRRHOoma7GLsywiRkxSXOmqffLF47nl7cHtvNM8zPxnFGKnsLC9IUMcg6KExgssxsYeaM3UyiWX9P+JspXJ1rWZLoyOSP/DE5J7l/g92tojwoh7hJCzBBCTI5tJ/PFfsFICJEUVWHIFUJkCSGyo9tgOKGs/BtsR48fpT3cTp6tJ7V7zRdreKnppR5g9Pjmx9nQ+hFSgqmpcE5307SetSz7KvYRMSNkWBkcPH6QJqMJU5r46/088K0HOLriaJ/ntO/tfTx46YO96nhi7QVIBRL9uSjMKOSCrAvIC+fFJw+HzYGu6cpT+hLr7hkFugKKWAC4DTftwfa46oSu65jSVOckYXNwM/XNvYs6Y0WHJmAIOGY5WNe5kfv23sUV+T8mQoRlx16nvLOc27ffzrmV53Lrs7dy11130eXtokQv4T/z/rNfGvXkkZP52dDb8VgdVAaP9AsuznYnc7PnMjRbhZZaw61Klbufz1864rtMzDoTS4DRLWy0qXYTu5p2cUH6BcwbOI8zzjiD3Ud20xnuJNSW+KDP42NpxVKqg9VIQBc2IlZvz2j1njVsad3AWvcG9rh71pydGKaz29SyvbtnZJkWAg0hNCQ9wcjZ5fxSMAp6lGfksiswGps7lvlZ83uM8RPNCKrxZNkt1bQumlr1dnh56+hbHA+qgWhZYBMalg4d7X3fZKPTIBQKIbtV8dp1e7/hSk3vOT0JIbCkpajcEjLsGSzIWkBpaiktx1qwu+1k+jIxC5Rb22Z6WOVZxW+e/g2RiBpQTe4mKjsr6ZSd3NN4DzuP7qQvy0nKYahjKJjQ5lN1Vt5Gr+pBJSHdmZ4Ao2goc1LGJL6b8V1kSHLs+DHerHmTAlsBKVYqUoKw2TC6g5EvGF8IhgNhtizZwnt3vZcgQptwwYALmO6a3uc5fk1tPPAjVDfYh6PbQyfzxS/zjH6MyhGNjv4b295DtZb9P2GRUATDNGjv6rnKL0gvYHTqaNC6qShEDIRuQ1pg2vr2jLqH6Zpam7BhY1rKNFYeWInH9GBIA7PdxPSatH3YtxzJZxs+w1/mp+KZih6/j7XGfqntJZYdXhb/vS51Sh2lpMrUHvF2u27vRR8+0bqD0bcKvsWc7Dlqn5qOGTGV6oSwxQsIYyGSGzJvYFTOqD73p2uqn49uQmtmmKfcT7PPs5f1npVs7PyA31f8jt/X/p6ny55mmGMY50w8h/Lycvw+P6kyNR4i7Ms0NOw4EJqugL8fD8poNwi3hZHp6m1f27yWt1vf7vfzJWkDyXLkIQV0nxuXly/HrtkZmzyWUFeIOXPmcLj+MIFIoAcDLegPUtFRgc/oVGoz/VDJa1traArVcShyqJdHEGeoRWO/Me227l60ZVoKiKLeU/cw3Zsb3gSTfluk2007p2ScQq4zV63GOyOK8alFw019WCSkwr5ZKVmErTDhRvW5rPQsFo9dzIjUEeo8JNgRYBOE+ikuPlR2iD/s+gMtMsFKtOm2eKFo92vU0BIyTFEbkDyAgY6BCe/flsQpKaeQ6cjENEycwsmZs84kqcSFlJCbOog1nWt4/P3HeeqppwDYfnA7b7nfwul0MjttNgNsfdeqNXQ0cCSgFjtDcodQopcwwDYg7l1mJGdwfd71jE0eq8KrFhSlFjEmeQwiLPD6vJR7yzkQPkCLv1URKHQd00wsMoKdCoymp0xnUuoktLCG5tHigH+06ii/2/M7jnce7/Mcv6a2ABgqpTxbSjknup1zMl/8MgWGR6WUQ4BfnqDAMFFK+X8GjOIudn1PhaNTS09lbs5cdF1XCUiiulM2u/KMHL09I13vOQEZ4ahMfwiuH3c9w53DMSwDl3Bx67hbmZLUt2jqoNxBEIHdr+/u8XvLtNCkqvYeriXCimXlZTxX+RwdHR0JMLJFwegrVMJjxb0AubZcCpIK1LVEE/BmxFRgZLMpzyia18jQM7DJ3ilH04y2UQAcEWh3dbA7uA2Av9Xdw8HgbmzCxsvNL+OL+DjfdT7jS8dTWVmJt8NLdaSaF1pfULUZfdjR2qOsb16DpYEpzX49nU17NvH7Q79H2hUYnZV3FhdnXtzv5w+5D+IO1mPpEO52y1ZUrGDOkDmkOdII+8PMmTMHKSU1gZoeHkjsvgtNR0qVM4r0kTMyDQUmV+XfyMXZPYWOhxQN4Y5T7oiHsfrKGVlWT88olus0ggaHjx8Gi37vXV5qHgsGLKA4RQU2/rH5H7zgfkF5Rp39eEZRJZLMFKXD2FmrANim2ch15uLUVd7QkiAECE3DlH3f5KAvGFfsjplNs8WVrrvfS13ovViSZ+WfRaG9kA1bNwCqZq0yVImnyxN/N4gpBkl4+vC9VIQqGDlgJHfffTdtbW1EQhEcwoHdaWd2xmyK7X0HeUwzUXAqTanApA2ykrO4bcJtjM8cT2lyKa6IKz6H+DU/h4OHMXxGvJ/RR/6PyBSZ/LTkt8ozshKLjGCn8lTHOMeQTz6Hjx2mM9gZH6NGxCBiRljSsKTPc/ya2n6I0Tv/OTuZNHqjECINQAhxhxDi7ZONAX4TLNajaHJmz0uSETWYnDYnIX8Iy7CiXo8Ny4ba+vOMoq63GTEJmSHern2bbC2bTFsmpjQ5evQof9n3Fxrqe9ZXxGxg1kCQcLjiMJ2HEqvvWPO2GXkzmJI8Jb7Kj1HIqxuq4+Ci23SuLLqSma6ZsAdY2ff1d88Z7WneQ31Ehd5sug3TjHpG0kamM5MCW0E8RLIxsJH6tt5huvNKz2Osa6yqCTShyr0DA4OBSaXUh2qQSP485BGKncVcOeJKCuwFDC0YimmaHHcfxxIWx8LH+mUB1rnr2NbxOVJTIZv+PJ2h+UM5P/v8uLDmgNQBlDpL+wWjDypXUN65G9MOsa7X5S3lVLRWcMnIS3DoDkL+EKeffjo23UZ1oBqP2xNvgx2vuI96LD7Tw8tNz3P8eM9VbUzPzejD+xNSFZjGwlN9qVrHwnSx48TCdN46JS/zpXnCoDqmzRllf6WPYkb6DDRN6xeMYvp1MSHUcJvat8/rY3PjZjoiKmdkSYUd4ktklwLegOpl5EowV+02ey/PyDRMla/pY3a6qfombn34VpAQlmFeaX2FiuaKhCadYlkTMgK8WvkwM1Nm8uT3n6Sjo4N7772XcDCsiBo28EkfG6s3Ul5e3us4Zw85W5EkDEkgGKAmVEPlkUpEWODEic1m40D4AMeajzGscBgLixZSZyhpH7/X31OD0DBVjllTLVRii4yALwASGqwGjnccx9uh2LexMR0bU6bV/6Lra2iZwCEhxBohxPLYdjJfPBkw+q2U0ieEmAmch6LtPflvnOzXyoywQb6eT47es9hh6adLebb+WZx2J6FAKC4jgmZD2sHQe4PRufnncl7mefHJPaZHlytz2VSziaZIE4ZlEPKFCBkhyurK+jyn8SXjWTxgMZa02P/M/vjvY7pmpmaqNg3R+UMaKnOumRqD8gfxH0X/QZozjeLUYrLJ5uM3PuaRXz+ievSeYHEwEvBF8xfs9ilvLOYZxcJ00wumc132dXEw2hrcSkNHbzCdkjuFQamDMC3QJJQf24hAMK/gUmzCzuikibSEWlg1cRX3nK56NA7NVXkdt89NukPR1U9sX1G5rpL97+xP9PPR7GrS6+clHZgzkDMzzkTYFBg1BBuo8Ff0C17fH/NDJmWfhWWHWJ+zFRUrALhk5CVkJ2XjMBw4nU6G5A9hd9duJvx6ArfcckviPhL1jIAOq5XPfBs455xzqK9PgHZM6eGzzvWsa17X4xwaGhtYdXwVPksVlmQnZ/MfWf+hale6fV8IRXeUJMJ0nuOeOBiFAn0Dy+fbP+cPB/5Aakoqo5JGMd41nqmuqThsjn69qdiq3+lQHlAsj9ne3s6HdR/SGmlV52Upz2h0+mQKk0r63FdXRxcO4cCWlPCobXqUddiNzDo4dzDT03vXjy2rXcb2ru00tjbij/jjk3p1WzWRSCTe4dWy4EjLdgwZptheQlFyEYsWLeLxxx+nprEGO3ZMzeTiios5e/nZzJs3rxftXyfRL+raadcCUF9fT1NdEx/WfIjP8rHGu4ZdjbvITM5kVPKo+D0y/EaPbrW7PbtY1/6+YhzGPCOhSj6wYK1/LRvcGxiXNo64cC3dohaSbxIY3QV8B/g9iZzRwyfzxZMBo9hTmgc8I6VcCd/sLlDdLRKO4A67Oe7puYI1DRNNanEwMgIGUgLChtQBrXfOaGDqQAY6BsbvWEwCaIZzBh9Vf8QgxyAW5y1WNE4Tjrb1TWCwwhY5STmkJqfSsisRX58zdg4LchewqmUVf2v4WxyMrIialGVYkpGcwVjXWBwOB5WhSiraKyhyFDFOjPtKMDo/+3zOyjkLiFaTG0ZUqdym6NPyhOZ2JxSRSkvS6Gmky+zCjFKoD1Z9QoGtiGx7NjcNvptzMi4FC2rDtXGpoME5gwFo8bckwChk0nywGfcBVbz9yp9f4c273oyDodBsGNLsF1w6fZ20h9vjI3xb+zZWdKzo96XOduaQbHMhbQnuxOojqxmXP45BmYO4ftD1XJR2EQCTB0/GwmJE7gj+8pe/sHnz5h5hOsuSbGh+mxFJo2loaGDBggVxD8qMgsnxSC1VXVU9JuGOjg72dewjZKkHm+xMZkTSCJ7a8BT796tFSSxMp2JiiWfQUd8BEeXJh0M9gUVakt3LdpPclcypKacyOnc0C7MWIgOSgBFQnWz7AbBZY2dxx+A7cDgc8ecCvfNbUipJvjPy5lLgKKKqqqrXvnxtPtJEWo/Zw2azETEjPZ7j6KLRzMma0wuMDncejv+/wFlAZlImbUYbC99byNo9a5U3FQ3THWreDMBA20CMgMG9995LcnIyr256FTt2Hvj8ATZ6NzIuYxyVlZW8+eabPY61rmKdAqOQ6tJqEzaC3iCt7la2ubcR1sNcP/B6Lki/gOaWZiq8FdjsibBq9wiJJ+KhIXRcKZRLsNujOaOAAqPL8y5nbupcskSWCut3B6NoPvebok8npfykr+1kvnsyYFQnhHgauAJYJYRwnuT3vhEWW/lta9nW8/dRj2By9mTG2MdgBA1VV4QN3QYR0uHBAAAgAElEQVRShxNrGuuCdVQFqhIx3ygtOmKoly3NnkaaSIvLsPSleg2w7NNlPFv/LGkpafjaEuXX2SnZDHAOwGF3ELbC8TBPDIyskEV7eztHvEewhMUmzyY+bfuUDbs2qEm8o/exRpSM4IKcC8i2ZZMn8lT9BNH8l2kyOGsww53D2evdy5MtT6rVXBS8Yt5AzCzD4qk9T7HDtwPTgqDVRVXtNgbaBoOEPGcxA5OUFpdNs8UpzKn2VPJz82kJtJDmUKKVRsDg8dsf54nrnlDN1ToAj7pGITTFXJT9e0Ybdm/gufrnEhp5Qv/Sz39Rv4WGQA3SDiEB/oifz459xoXDooLDduLgP2fMHG4vvJ0n5z3JwIEDWbRoUbwZI5rGsfYyav0VzEm7gEcefITNmzfzxhtvqHsU82w0G5ET2huMGTyGW0feSm6KUnloDbcy+/Bsfr3y1/z0pz/t8f2MpHx+lXUnY3LHAOBp8iAigsK0wl7hv/qd9bz7yLusfGklF2VehHCqm7Jk/xLebX9XhaKDfYORMEScTQnEOwOfCEZWdEx4jHa+u/VM5syZ02tfvnYf6SKd7s2BbVpUzLRbVDYcChMyQ71mmYO+g6RpanxoQiPTmcmB4AFMaVJ2vCwuQ2VJOOTeTGH6cJJFCkbAoKCggDvuuIM9tXt41f0q9392PxNTJ3LPqHsYNWoUf/jDH+ILBnVB6h8zYvJZ+WcYlkHAF2BsyVj+e/h/k5OeQ2ZKJsmRZPZW7OW1+tfiTSkNfyJnhIBpadNZWHQjUqjHneJM4aKMi2jyNDE1YyolqSW82vgqq4+uxjRNIoEIUso4GEkpvzFgJITwCSG80S0ohDCFEH0sg3vbyYDKfwBrgAullB1ANvCrf+N8///bbuBPgDvR2uBE3bJYEnVa/jROdZyK0aXASBc2hB0sXcV/u9tnrZ+xumN1YiAbJu6wmz81/gksaDAbWN+5XiVyLeIsnBNt3IBxTEmdwiWll3C+8/z4ZyrrKynvKldKD1Y4XiMhTRWmM8IGZZVlLKldgiEM5pfM54rsK2htaSUSiWC19T5Ydmo2Z2ScweKcxbj9bo4HlIcYUyyYOXgmszNn47Q5ydKzEuEz0bu4UViCK0Zcwdj0sZgWHGzdimkZFNsHRZP6OhfnXa0YcTZ7YiILW4wePBrLsihJKaEmXMOcX8yhtaMV6uHQ0kMq3xFRnxVohGWYJ9r/xjvvvxM/fsgboml/U/zexzp+gqLdm1/iSX1Su5aargqwq7l8Y81GwmaY84eer/7e8QnL3cvBUOxFJNhCNh566CEOHjzIuk1qJS10nc1VbyMQlNqHcN1V1zFhwgRuvfVW9u7dq8BE07DZk/GH/T2Bw4TuihK3fXIbW7q2MKN4Bhs2bGDv3r3R3j0ChEAIDWEqYPG4Pbhwcd3Q61iYvbDHdTaVN0EXzA/OR3QJaoI1/KnpTzR2NmLTbGo8BfsO0+07so+PWz9Gt/fscRVb+cdAypJgSZMffDGNI11l1NTU0Nra2mNfvjYfafY00JXs2xdhsGkOdnftZtGNiwgElD7kii9W8EzdMz08I9MyWdOwhkuzLqUwu1AtHjUoC6pQd1VzFSXOEtDANCXlzZ8zovB0pEzILt1yyy3MGDyDjz0fY9fsLChcgGVY/OY3v2HPnj3Mnz8/nuObO2yumheCFmUN6hhBfzQ0HgHscCBwgJ2tO5k2bBrXFy0iGGM/BiM9OxJbKmcEYEhw2B0s9yzn1zt+zTr3Oh5ueJiba2/mqQNPsdyznJSxKbz11ls9usV+U8Dof6WfUbed+6WUb0spD0d/bpBSfvhvnfH/Rzv69lFanm3htedeo/7N+jjb7ETplhhF2dAMuiJdiiEjQdPsSuBT650zOn/A+SzIXtCDDROrFMdUxZyfdH6iijut6DH7EFcfXzieKa4pFGcVKy20KNVzS8UWNnZsVLFpCeEONYHE6NZmxGTCkAn8sPiH2B120pPSsZt2jKDB9s7tNBztneNpa2+jsrMSQxisbVlLTUg1/8tNylUCj0FAg1HZo7gy60pmDZzFjwb8SB33BDDSpMaYzDHkOnMxLTjQugkhBANsipAhhE5EmJjS6uEZWYbFKcNOobarFmmTvOV5iwPHDrC9ajsYUPt+rdJbM9S1akKjxl9Bo9nAD3/1Qxoa1HVtX7KdZxY9g/RJ5dlqiRbxmvhyT0pKRQfT7RCR8FHlRzh1J7MGzVLPUihmE2F1nUjFQJs/fz5FRUW89v5r3cDoLU7JOYMb8n6GLnUee+wx6urqmDhxIu8cfAOkwKv7eL/9fX5y00/YsUMJzx6pOcLrta8TtIJ4gh6WHljK5VmX89q810hOTuavf/0rC6cvZGHRDQRMPx/4V1LbrOjhnhYPGSJDNXmx6AFy7io39rCdseeNhZmQmp7KmKQxEE2mO+wO3nO/x7PPPEt7e88Shzp3HeVd5SQ7kxnkGKQKwaFXPyMLONy6nVr/EWZkKSZvLLQIKlToa/epYlFUxLi1CZYfW8VzLc/x/MvPs3TpUgAmlExgVsas+LOTUnL3hrtpDbdiSYuhRUNZ517HTs9OGiONFKYU0tDRwDTXNBBQ21aJN9jM8OIZWN3ASNd1FpyygKsLrmbp5UvJceYQCUe45pprePDBB1m7di3XXnttfCzHrvOGqTdQ6iwlEAiw9+Be3q17Fxywt3MvX3i/IE1PI81ZRIVpwzIV4aS7uvx27zY+bluOFApTPq/7nD82/pEMWwaPVT3Gn2r/RLG9GIfmYHdoNwLB2rVrv5Fhuu72z/Yz+j8TbjtZe+/F9/j0k09p62gj1BrimonXkKal9Upgxiaz1e7VPNH0BCmkMCP3LNIduQgnWBqcqHqS7cxWxbPRXdmxJ3ICFszMnMldBXchgiqwHTJCfYJRp7eToFQS+ju8O7CiRYTzJ8/nytwr4/H7OBgZVjzsl+ZMY6BjIEITVPorWdu+Vq3kTAi09G7EtrtiN8/VLeFJz7OKhRftTzOvaB7zs+bz5PonVUuI6EhJJZUBjgHKMzrBNTRCSp/NG/FiStjn/oySovE4o5JLmqbzfturgOowm+ZM44zUM8h0ZjJ4wGA6Ih1cvvNy/JafCaUT2Newj9H20Xwr8C1m2maioREJRRBo+Mx2dHQCwQCLFi3CsiyskIXZZmLWmgnPqFsriy+jgluWYrkJh7pdHx39iJmlM0mxq7be5xady+VZl0Mo4RWE/WHsdjuLFi1i43blSdUFa6lq28OskstVjtGEs88+m9raWubPn8/epp3YNTvLav/Kev86nv/H85x++un88Y9/pLWtlTJvGZZm8fKel+mKdPHrAb+m1FnK1VdfzZIlS/AH/CAEBgafBNZysEm1qfC2eUnX0tnl38WKthU99N6aaprI1/IRaQJckOvKJVVL5ZOmTxBC8OCRB3mr7S1u+PENTJo0KQ6OABeNv4ibim8i15XLdbnXMTBV0c5ji7cYGEkLKtrU934+7H4A9u1LKNQHO4IYIYO0ZAVGEcAT7uDluue4Luc6xo0ex+OPP46UkhH5Izg19dRoyM1i0fJF3P/p/ZxXcB6nJJ3ClOFTaA23suyYqrW7ftT1AHzh/QIEbKtWAjHDh5yJpKc6uhE2uKLwCi4eebEqfYhE0DSNX/3qV1xzzTXs2LEDKSUrK1aqBV7QhAgk6UkEQgGqq6o53HUYbKqwPGyGOVpzlP2d+5ChKBgFDOyaHZfuwq6pUpCmcJ0il1gmN666EZfu4tqia9GFTtAKcknaJdw46EbuzLqTmZNmsmPHjm8kGAkhLuu2fVcI8QD/U/2M/i9ZyBvC0+IhJzmHm0puYoh9CC5cpOvpvcAo5hmNyxnHua5zSRNpnJV/DunJediSVM7oRAZrtb+aPf498Qlv4aSFnOc6L7pD1RhNCKGYeSYEjSCyS3Kivbz5Zd5re4/qcDUrPCvoqlauUao9lTQ9Lc7aCbWrGScW7jMjJnVNdezx7gEdKroq2ObfFm/j7W/u3e1tyrApzMu9jlA4GnqKMpQQ6jsTciYwLHUY5Z5y/uT+E9srt7OzU1Wtn+gZdXm7eLX8VSr8R4iYJmXuzxk5/EyEptScNXRSbOnx42QkZXBB+gXkJecxYuAIipOKGZo6lMszLufmi26mK9zFys6V3L3vbl6ve503fG9w6V8u5XDXQfZ0fMqpzsn86Vd/YtWqVdx///0Egooqa/iNRCuLEz2jvl5qqSY9IQS6E5qDTexz74uH6AAVOot6HGbEJEfPYVaa8poWLVqknqsZYUuTytUOyBzBO+3L4jmhgoICvve97xEyQ+i6g0rvbmYkncHW32/l0ksv5bbbbuPwscNRD1Lw+LbHmVY8Dbtup661jvPOO49gMMjrW1/nC89mUpzprO56l2vfvpaqqirSI+nkJ+fjtbx87v2czZtUAl9akqZjTRTYC+K5moiMcH3t9Wxo2cBtlbex37uf5wY/x6cffIqUklmzZnHsmOo2G5O2iev/xfKUsd5LepTVJ+BI607S7dmMSplAVlZWDzDCB7MLZsdrqMLAIfcWJJJSeyk/+cFP2LVrF1u2bKHD20FHpAMpJL9Y8wte2P0Cd8y6g1+M+QUCwYwxMzCkwV8O/YWxyWM5o+AMhBD83f13ntn5DI989FMGZZ5CYfF4LHqC0WXDLuO0zNMARZ7ozuQbO3YsHR0dNDY2xllslmGxomwFFcEKgmaQlmMt5Oi5bE2GsHQSskLsqtjFxrb1CJtNgV+XwZRRU/jlkF+SbEuOqmqokpCVx/7BXvde7h54N4sKF/HQiIf45YhfUmAvwGE4+FX2rzht7Gns3buXtKQ0NR5iLtU3w/73+hkJIVKF4pIihBgphPi2EKIfecGvt7VUtEAE8tLy1JV74bPDn1Fn1PXrGQ3JHMLk5MlE2iJ4g50YwkJzRmsGTsCRvZ69rO1Ym1h9G9GeRgKwwG26WeFZoTTdLLCERbi1d6zeCBvYdTvjCsbxi7xfkOpTNR67qnaxr2sfDrvyjGISLtMHT1eTcMRgf+V+VrWsAqFWbgjUMlT07RmlOzModJQyL/NKICFFs75lPUubl3JmwZmMTxuPhUWX2cWe43tY174Or/Ry/frrOXDgQHxf3enNVe59+CM+Ro2cyWWZ15CsJeOwJTMla06cwGBhEZRBzLDJuaedy7qZ61g6YymzXLOYPXQ26c50lnQs4Z6me3i27VmajWbSktLY3LGeso4t5Op53HDZDVxzzTXcddddLP14qcqddRlxAkr3nFF5sJwdu3dwokkZTTYj0G2wy6f6JMVCdABbW7fyhPsJMNR15tvySQkrr2ngwIF8b+73+OuRv/J6xXMMz5mCze6gOnSkxyRy9tlnA/DskbsxpcFQ23CsBotnn32WtLQ0nnnvGZCwz7OP8tZybph8Ays9K9nv3s/IkaqR3J6aPTSG6uiM+Kg1qmnobODCCy9kTt4cZhfORuiCP7v/zOzvzGbNmjV0ubvwe/zkp+fHvcQn9z5JdbiaEmcJh7oOMdw1nKZwEzMnz+STTz7BMAx+97vfqXGwZz0ft36M1/Dyt+a/UVar8iex0LCmKTDCgoqWHWQ589nQuorx48f3CNMlG8nMzplNsUsVmYYtONi0GYFGmpbGVZdcRXp6Ovfddx/vbnuXt1ve5qOqj3h066P87PSfce+ce+P9jMYNHIcudOaXzufy7MtJEkkMyRnC++3v8+P3f8zkQefw8LxP0Z06QugJMJIwLGUYhSmqe6vdZo83wwMYM0aRQQ4ePAgWFNmKcNlclDWpaw4YAdy1bnKcefgCEPEqz8gIGejCBnabylFFmxYi4eLci3GKJDShEyLE4/t+y6TCSdxcfDPjksexeOBi5g6Yq56NAckimSkjpxAOhzEiBpflX8Z45/hvDBj9O/2MTsYz2ggkCSGKgQ+B7wMv/eun+//PmiubIQR5WXk83/I8245sY8PRDUC3iuuoxQQ/gwRpCDdQcbCCxw4+RGuoCS0pUcDW3XSh90iSr9y9kp3+nXE3u1N2ssO/gyyRhTO6TA029/ZgI6EINt1GUmoS6Vo6WrN6TDuqdrDHvyfuGcUacg3NGspc11xGpozEiBgKULSo7IhELUN11Yb7RDvWUEuF/wAh3YiDBKgOr6l6KoHOAAZGXIEhmWQWFy2mLFhGVWcVzz//fOKexbp/6jr76z4DYNSomRQ5B/Ozols5M/9bhITK0cUUiR9oeoCDdQdJT0lnZOpIStJKWJy3mKHpQ1kwcgG/KP0Fb016i4pLfOw+pZ47z7mThlAtERmmSC9BRiRPP/006enptHhaVGglZPZq8idRuajv//z7vYoyY/13hNBIdsDBzm3oQufUwoSSdFAGcUfcWEGL8fnjicgI+1sSk+0N37kBKSXVngpmll6OsHUbCyawFfJz8ylKLWFPxyacthSKHaV0VHeQnZ3NLbfcwqd7PqU+UM/7x95HExrfHvVtxTYLGwwfrhQ38lLzuKhgAce8ahFw/YTraWxsZPpr0/n5oZ9zybpLGOwYzCnDTuE73/kOK5ethDAUpBUgpeST6k94aNtDFNmL+MGAH7BwwEIeP/1x1Xk0CIMHD+ZHP/oRL7zwAkePHqW6qZraUC02h41CRyGBQICOjo6EZxQFo3AkRFX7fgpSSrGkFQejGEMt0Byg09OJdKqfwyYcdG9iVNpEbsm/hTQ9jXvuuYfVq1ez/uB6dHSWlS0j3ZnOA+c9gBBCHUtKAoEAiwcv5u9n/50rc69kfMZ4Lhx9IQErwG0zb+P3l68k05mFtEOSLRXNSEgnHXQfpN1sj49Bw0wwGseOHQtAWVkZQgqGO4Zjxx4PR4fMEEFPkBxXniIz2ZKIyAjBziCasJHkTKPSqOThDQ+z5IMlLK1byuDkweTa8tA0G1ur3qC+q5rfnfM7qiJVHPQdxB1yq7B7dI541PsoI4vUwmPHoR1MSJ3At13f/saAkRDi79GWQ7Gfs4QQL5zMd08GjISU0g9cBjwhpVwAfKWMrBDiBSGEWwixv5+/zxZCeIQQu6PbnSdzwv+ONVc1o4d1sguyabKaaGtv47+n/DdDnEMw6ZlPmJAzgdLkUiq6Kni65Wmcfifn5c8j1ZGhet1oSgi0u2maWrnF9tPh6yAsop6PCUl2JYMyOWMy89OVQGWwRYHRtte28eJ/vggkaOWGzWCjfyM1BxSpwDItNE3D6ewZpqtvqme4fTiDnYNVeJFuYARgqF5LAW9vMNp1ZBcbOz5gmedFZDcwmp4/nUszL+XhrQ+zvmM9uq6ztnMtV626ireb36bTUsoQb7zxRnxyj9faCJ2dx9ZSkDaI3LxSDocOUh+oQwIftSyLg16qPZUL0y+kMKWQtvY2DnkOYQpTAUgQbp9yO7eNvI3Lvn0Zx1Kb+Lv7RS4ftIAUTXmKd+bcj1NzkpSUxKRJk6hprlGekd9I3IfoMyrzlBGWYQ4ePcgHH3zQ4x7EJlaBIMkBR1q3MTxjXDxfBInwpek3mVUyC0MYbGvdFl/A5LhyuDD/QjShcVbJd9HsNkxpYQUtwgfD+J/zIzdIhmUqLbcxJXMoTCpGtqod/OxnPyM9JZ11bet4r+o9zhh4BnmpeaooNGzgcrkoLi6mvLEcS8Bxj2r9fu7Ac3n32XcJRAI8UfUEE7IncH329bzz4DuUlpbyw9/8kPLmcnYFdzHj+RnM/vtsOiOdXJh+ITbLxk8G/4QLhl/AhKQJcfHd22+/HV3Xufvuu+NCuSlJKZjSZPaLs7n66qsZPWg0i4csJsOZgQVUte7HtAwKUwYhpWTcuHF4vd54uG/btm08tP8hjBQ183dFDA43b2V85pnqoCH4r//6L84991xe2/oa7oibd8vf5ZKRl+C0qfEe7/RqWmTaMrHb7Yx1jSXfns/vLvodO6bs4Pfn/h6BjgYIOyzK/QXn5ChCRagzxLLyZZT7leLCuMxxTEudFqeVDxgwgPT0dMrKypBScih4iEBXANM0OTPtTK7JvgZCkJORDxakpOUqBYVjDejCRlOwltc7l7BkzxKufeBaqvxVHDOOUdZ1AE3obDzwEkWuoVw4/ELeb3+fZe5lvNzwcuI9lTDUOZQRA0aQnp7O8k3L+ePRP/ZQZfjftL7mbCHE3UKIum7z9Le+YjcToqxrAKSU7cCkkzn+SYGREGIGcBUJUZl+2pn1sJeAi77iM59KKU+NbveexD7/LWuubSZXy0VzaSTZkwh2BRGWwCEcvUQ3Lyq9iPHp43E4kpBAciiZSelTSbKnIOwQVZfvYScytq4adxVzs+cC8J3M71CYqsIDZsBkpH0kvy34LQU2pQW38r2V1KyrgeYoGOk2NKfGev96jh5RxbGWoRQY0pLSOMN1BllStU5+a/tbvON5B6/f20MWJT7IgZSkFPy+3jkjM2KiCZ1OuqKx7eijFbCuYx313npsuo3PGz9ni38LAsFvq37Lls4tjEofxfHjx/lgmZrcY55RWBrsql3L6cPmITRY1/k+LzU9S7lvNxn2XFI1FyPSRpDsSGaGawa5jlz2H67guWOv4TbaeLHtRQ7XHmZo2lByk1TNjdQ1bMLO0cYq5uYtYFreReRqefGJZMqUKZTXlWNaJkZAtXm3abY4GB31HUVHpzC3kD//+c897oG0lI60hkDokuqG7QzLmUp3ibXu7RzCgTBXZl2pJqfYqnrQWN497V3eu7qcga4RaDEqdMBk3959PLj5QZoPNnP9mP8EYNzgC/h+0Y2cI84BCenp6Vw5+0oqA5Xsbd3L/FHz48c1IuogI0eO5IvqL/iifSN1nRUIBEVJRYwtGsujUx+lYm4Ff5v1N/yWn3TSWbt2LVmpWbx2/DUu33A5x73HeWreUxxdfDQujWTTbZjJJsdCx2jboYR7i4uLufnmm3nllVeobKzErtl59/C7XFl1JaZlKqaXYZJrz0W3KcWJw40q/DnANQgZ9YwAdu9Wih4js0ZySc4l2FPtWEBF416CRhcFrqG80PwiXe1daJrGSy+9hCY0Hjz+IG2BNi4fc3n8GQjRs5+RpmtUhapo9jezdNtSjoUU8Fky2mdMV0SjWJ7LqTm5ceyNjEsfB8CYrDFMTZkaf4ZCCMaOHUtZWRlIpVzf1tGmFoG6RrPRDAHIzM5DSkhNyweU5p4ubHxao2rJXp37KqZlUuQs4qHjD/G35kf4pGUFB2vWMXfwD9CEpsaTBTZs8SJYl3BxadaluJwuJk+eTHVjNSEzxP2t9/dSJPlfspfoe85+pNs8veor9qEJIbJiP0Q7P5xME9eTAqObgduAd6SUB4QQQ4H1X/UlKeVGVKPer4011zWTp+VBsvIUfD4fKypXMNQxlIuzLo6DkbQkMixBA48zCS/QXN9Ko79RgZYd0Hs3I40ztmLjJhzN20AP4sFzZc/xju8dxVyLriFS9BQIg+Wz4vkqTdNwOV14W1TNmGmoFhKpyalckHkBhShwmz98Pscjx/mo4SNMw1QCpt08oxHJI0hJSiHQ1dszMg0LTdPVS9uNwLCqfhVzj8xlWeUyAlaAX3/2a3L1XC4quojqYDUmJreOuhVd0/n5TT/nsUceY/f+3Ugp2dGxnWCki9NHzAMNLsu5nkxbFkEriKbbsWHHpqmwX7PRTCAYoMtnEgpBV6sNgcDwGxxoPhDvl1OUMYTvZF5Dm6+NSekzuGn8o7zofRafVxUFT548mYgRoSXcghE0mFE6g0lpiQXZJ02fMD11Oj//3s/5+OOPWb48IZclzUTOqKHlKJ1dbZQOmEowIQvYo+vqI5sfYX3nesXWi6X8LEUHLskcDhYIRzSZ7TeUGoEBTS1NnF8yj6uG/oozxl9NOAlF249GaudNm4dLV0XHl46+NH7c7mBU215LU7iBOm85mVq2AtjkQr5f+H0G5Q3qkU8sKSlhz917WDV+FauuWEXFTyv48Wk/Jj1ZqVxoUqMkuQQr2eJFz4vs+TTR0uL2228nNzeXt3a/haZp3LXxLnJtudwz/R5CoRDvrX+Pza2biYgIEqho2obLmUlmUj6mtJg4cSK5ubncdNNNlJWVUWgrZErKFFBdLthdraaQopwxVAdrlBo2UFJSwrfHfZsWo4VUeyoXDU/MjZpQ/Yxizfc0TeONljfY1rKNiBFBikRzChltELm+cw2bGxWZQzM1Cp2FuOzqHodkSGnrdSu4HTNmDIcOKq9zonMi+an5WJZFq2xltVfVECZnpYIF9rRspbrgV0zRTTVvUqgXUWAvIDstm0/bP6U50gzAGvcyJJLzBl8DqBAhUoFRjB1rx65mZAOmTZvGodpDXJp9Kacnn96viv3/pP0PzdkPA58LIe4TQtwHbAYePJkvnkyd0UYp5bellH+M/nxUSvlf/9bpJmyGEGKPEGK1EKLf0J8Q4gYhxHYhxPYTRRVP1iJdETrcHeS58kAoMPL6vexw78AmbEq9NyZQGLG4Z8s9fNr+KdKZhGnB1j3b+HvNUxiEEVECQ68w3Qme0Ys7XqQ8XE6+PZ89vj1xBenhKcMpcZWwyreKmkoVgps5dKZi2LUEkZZUgxVIS07D16EmXMu0QGhIXRIkGKd2D0weyPcyv8c017QenlEMCM/NOhe/7ueh6of488N/JhhM5KmUKKWO1AWym2e0pnENYRmmLdzGTQduor6rnkvSL+HU9FNJ1pJx6S5ybDlMHTKVio4Kbv7FzVx83cW8cPgFVjWuwGlLZsLwOWgaZDpy+HHBzYzLno7P6qDdbMdrefEbfh5vfpwDDQficflkkca1udcyQB/AG4ffUIoWoPpHAZcWzOeK4hsIWQHqjbp4i4wpU5QCekOoASNgMCFvAmPSVEK6uauZnS07mZQ0iRsvvZGpU6fyve99j02bNgEKtBeNXszIjEkcOqqUOEqGnUaFL7GuiBV3GgGDs4vPRiL5qOOjOIV6Z9lOnq5+mrAw0QDdrjwGM2jiMB1gQGlaKa9XvMK5A64gNa/DX8QAACAASURBVD2bfeEDPNf4HKZbHcUu7MzPnc9PJv6E4dkqR2TXE0KiI0eOpCvchd/sos5bTpaeqxiNnag6rJSEhlxMUdxqs5iTOYe5o+bGw46apqFrOme6zqQ4pRi7w06OK4emyqb4uMjIyOC+++7jSOsR7qm5h73uvcx0zWRi1kQcDgcrNq7gw6YPMTBo6mpmfcU/mDZ4LkLXkNLC5XKxfv16LMviwgsvpKaqhvZAOzggJCVrDrzI8AFTycoeiGX1VCY/o/QMJqZO5AcTf0CyPSGqKoRISFKhxICvKriKGVkz4uPegqgShpInarfa8IbUYq6zvZNtTdvwGKoT7mctn/GY+zFCbSE+uP8DIv4IY8eOpcndRCASoFAvVPkmCZZuJd5xl0BayluPOCJsdG/k49bVHGnZzoKMH3BaxmmcMugUVrasZEP7BkY4R5Jpz2XCiLkUugYDUX062dMzGpQ8iHsb76XJ3cT8+fMJG2F2+lQpwOL7FvdUiPjXzBabR6PbDSf5vcVCiL3RMF7Wl31QSvkyKqXTFN0uk1K+cjIHORk23UghxDNCiA+FEOti28ns/CtsJzBISjkR+Cuqd3qfJqV8Rkp5mpTytJiS8T9rLYdbkGGpmHSoTqgxufZms5lD/kOJmceEOcVzGJQyCN2pwnSdvs7oZG1LhOlOGBuxBKs0JNKSHOs4hs1mY1LKJPZ07kHYFXpNTZ/KqRmnsi+0j1a3qlJ3WA4wo/Trbh5KWkoavi41KwaCFnV2jdoQPNj4IBsrNwJwoO4AmfZMBjoGKgJDjNKswyedn/DXpr/yxyN/5ID/ALf88hZmzZoVH9iGYaJpOgNShqFjoyi1CCkl7x9/n0JbIUNTh1ITqOGqMVdR6izFIRxclX8Vz418jm8XfpvXf/w6N+fdzJr/WsOdi++kIdDA+3XvcGrxuTiT1URywL+LI4EKdR9Nr6KZS3+PolczCkaWrvTF0qw0bhp7E6PTRwPg9jfyUtujVLVUIYUqLpUiIU8zcuRIHDYH9ZF6PB0e3G1uuixFiV9evhyJJCiDyIjkvffeIzs7m5kzZzJt2jSaGpvIduaSpKdQfnQbdruT4ZPGUyVhe7ROuHuYbnr+dOzCzlbf1viK1dvppSHYgBRKbVo4VIjQDJoQgjTS/h957x0nR3Wm+3/PqarOPTnPKCcklCMgARJBApGMycgEp4uxvY67GIdd+7Jer21Y24tNcFoWY4NtFoNlAQYbkACThISEck6j0eTUPR2r6vz+OFXVMxK2db3evezvns9nPiBpuru66pzznPd5n/d5STpJ2jPHyBbTYIJtSUIiRP6ARjRTmiwoW8D3zit1aBne78dX1HXmj9I+sIdKsxrXcXl67dPcf+B+iBBERoWBAspVfP+577NuaN0JPm9I6LF7sL34vr6yno7ujhFRwi233MKyMcvYNrSNcRXjmBGbgaUszjzzTLbs3cLnx3+eiBXhrpe/TsHOcsPiL2unC+80Nn36dP71X/+V1tZW7lx9J+tS60DCq62vcah3GyvmfRg3YuEqRri0K0fx5fFf5p6L7hlxyQ2xBubE5gzLTQqao81UGpVBPlWhffLwIqOLa67jgnIdXfV29fLkoSfpLmi/x6mVU7k0eSkvrn6R1371Gm99/61AUdeV6WJ9bj29vbpr7KjYKCaGJ7KoYhGOpwtavff73LH/Dl5IvcAT7T9DILi28kOUUcbk5sl0FjvpKHQwOTKVL09/gE+u+o9gizGlB0bCZFTFKG6pvoWJ8Ym4ysUpOixatIjqZDXfbP0mtxy7hfsfvZ+XXnqJ/+Sw/X3U+/nBSbzmPmACMBs4xp8xPRVCnAYcUUp9z2s11CqEWHQyF3cyNN2jwFvAl9A2QP7Pf2oopQaVUmnv/58CLCFEzX/2ff/YSGQTrKxdSUuFdhQOW2EyTgYc2JzbzJP9TwZgZGBwduPZjI6NRkZ0++70UFp70wkjAKPjWdw+aVAQOk/g2i7KVZiGyaL4Ij7f8HlikZh+r2waK2zxuebPMTeqW1es2bAGXMh0Z0ao2pLRJKlCCtJgF11cJJu6BaeXX8Dk0GSUq3h026M8l36OY+ljI1Rkz7U+x9qhtXzt0NcoqAKvnfIa//TFf+LNN98MjCz9yChkxoiLJJZl8Wrrq+xP72d+bD4rG1ZySf0l/O8z/7f34GBBYgHXNFwDDkhbUiEqyGzJcP3K67lq1FWEZJilE69HmNrP8430Wv6j52F2p99mdPk0LCwakg0jwMivWSpKxd2dd7PhyAbqQnVEDQ1otoABp4/njv6eV/qe12ahlIxCpZSMqx3HruwuFn55Iat+sYrn+54nZ+e448U7mF09m39s+EcSoQSNjY1s3LiR73znO2zYsIG7vnMXb3S+Qk++nb0HNzF+/AzqZ1o4Z8AxB4qDwxrdDRXpSfXgChdb2YElk5/PU1IbmEovMrKzNqmBFKl8SlOKHr0kLGiumsqNlTcS69ERy/kzz+cTLZ8YsSpNw/M2dEtgtDv1NrZboNrUFNJA74C2CQqVIqN8fx7ycPmoy5lZOfOE9eDgsD2znf1DOh9ZX1lPX66PwsESHySE4JxR53Db2Nt4+IqHsQwLp+iwfPlyth7YSk++h45cBz9Yfw/nTrmRUTVTdE2Z6wbCjgsvvJBwOMzGwxuDgtcHNv6AqJXgnAXXQszUtUDDIiNfyXr8mFIxhcvKLwNbN1kUhmB7ZjuH0od0H63jIiOElzPycK6Y1ffRp6+bkk3Mjs8m05OBPFg5izlzNLXbnm2n1+6lvatdzy9T8r7a97GiYQWuAFcpHtv9bRZUL+Ar9V/hjmn38PWLXiEtMhzqO8S00dOC654fX8SSuouJRGO4nsGyP59MZWKEDLbnttOjeoI5LaXk9MmnszO7k92F3UgpeeD7D4woZv7vGEqpDqWUo5RygR8CC//MS+5Dx+r+SHOSXR5OBoxspdR9Sqk3lFIb/J+TefM/NYQQDUII4f3/Qu9aev70q/7ykVyQZOEVCymr0Hx52PIqAF04v/x8bq6+uUTTFVwG84MUKaIMCyEkBbuIFCaGFEgThAHOcafNQVeSK+rJ5LfndgyHr3V8jY3pjYGr72/afsML/S9o92LPQrAp0gQuqLRiWdMymqO6HiMRSdCaa2X9uvXkC3lAMlQH462FlBXLtNWJgl35XTzT/YzOGaFzRr/a/ytqjVpeOe0VDl5xkFOsU7jkrEsAePFFHVXZtoOQkkG3nz67jyxZHt/xOKYwmR6ZTnWomn+a9k80lTUxJTpFixwweL7/ed7seZMn3tQB7cH9B2mqaOIfTv0HtlzVztkTr0NYGoxcj8vPORmkaWIrGyWVBiPP4073ajJQUupNYLCd1zteZ9DRN0gYOgfTNnSU1twBMDwabJjZ7NiasQy6g0gh2dS+iZllM7n79bs5PHCYb53xLRpCDRiu3uRqamr45Cc/yRVXXMGP/v1HPHPkN3Rkj3CodTvjxuoEt1EJhRgUc6XIKJ/O891N32VLbou2BPJaj/s9eBwveW5GwpQZFYiioLunGxzY3rrd886UyBDkTHTE4tWXBqebYfPKNPT9woZx48YhheTV3t8BUGXW4Tou6f40CZGAEDr/4LXDFinBtMQ0GpMndjP1v099tJ4+IF9RhwI6Xy+VhChX52cuqL2A01pO06ULtsOFF2pRzjf2f4NH9z9K3slz9ZzbtKzpOAPbZDLJOUvPYUfPDiJmhFeOvMITWx7h7InXU16RRERNHHFia/VASPMOwwd+BDzb9ywbezeOiIx8MBIGvDj4LKu7VoNb6s3k02JDzhBH8kdI96a147kbpqmpibGjxyK8h2DnbMIyrE1QFwNT9GPa1fE6rYO7uGHyjYwKjeL0unOYUnsaLw79jk3dmxhfPx5LWIyPjSdmxFECpAG2CcomoOFNaZJyU7yUeYnWgtfC3TtgnTZJtxtvNBu57tzrePTRR+n96X9vGl4IMXzyXI5unvcnX6KG8YkeiP3VBAy/EUJ8VAjRKISo8n/+3IuEEI8ArwJThBCtQogPCiE+IoT4iPcrVwJbhRCbgbuBa9VfgRT9o8MEKgkWui+zxoHKUKXuZ+RtBgN9A3xr07fYltqGi8A0wt4mbAY3TBgn0nQTy2exqvIjmJhBoV3EilBulrM9t4NUWDs120WbkBnisp2XUfmLSi699FLGxcZp6mFIcHbD2TRFNV323V3f5bs932XhZQv57f41SGkg6+C+nruofLKSD3zwA9pwE/h1z6/Z376flVUr2d+/nxeOvMDf1P0Np9eezrbUNu7svJNxiXFUVVUFYOQUdWTUY3fiKsiLPL/b/ztmVc8iLMJa8SNNouEo11Vfx9jIWCSSHdkdHBg6wGWTL2NefB79uX6c3Q5TE1Mpi1boTcEDIyW8Oh5pcCx3CFcpsiJbiowcF8d2EELiGAJDGrSn2nn68NOBgEEYVlA8LHRTav3aYS4Qy05ZxtUVV/PtS75Nd6abNT1r+OqLX2XlpJXMqpnF6+nXyaRHKgo/+9nPMjA4QHW4lobIGHr72xkzRp9qDQPd3ygP8XCc0dZobeWk0JX1lCyZRuQsJDSOncL7qz9FVaGK7GCeIQE5ryeWEAIZgSFZ4O6eu1m/WeepXt3xKmu6n6IwDIzObzif91a+F2y9iZ45+iwqrBomN51BrdWIchTpvrROykuPphOQT+VJHUuxv2c/RXFio8LFlYt5T/l7KA+X0wOki/UoGzreKuWN3KJL3IwTMfVa8XtcTZ8+nZbaFn7T9RueOPAEU2qmMrpyKsqAiTWzmBafO0JqetHyi+jP9/Nw28Nc8sglNJSP4sa5X0XGwEhY2lprWAPBc0afw7REKbLwx+tdr3NH+x1kchltsiu8HI7rkss79HnRKMoTMAjdV6qt0Ab2sMjIc9fendrNj3t+THeXPiz4nYuXnLaE9Z3rUUrR1dfF7XNuZ37lfL1/VOlt4tmdDxA2Y1wy6XK67C5cfzOQRkCVX1xzMde3XE+v3cuOwbeQAhwTXLvEfBjSoLKykoumX8T8cfNHzOnxteM5LX4aFycv5tol1zJUHOIb3/7GCfflrzXeac8GvimE2CKEeBtYBnz6z7zNfiHEJ4QQlvfzSWD/yXz+yYDRTWha7hVgg/fz5p98BaCUuk4p1aiUspRSLUqpHyul7ldK3e/9+/eUUqd6bcxPU0q9cjIX/NcalVEvD2dDu9POa+nXSganuVIBaNEBy4h4+SIrOLQKYyRNp4CQlSDlDnLD52+gv6cflLYAmhCdQLvdxT6zjK2ZHXyn9Ts82v4oq7tXU2fV8fLLL/PRpz7KJGMSP3/552zv2Y6tbL7xh2/wq0O/Yn50PoumL6JrqJ151cvo7N3Nvx79IvVWAz//j5/zwM4H2J3fzRO9T3Dn7+7EEAY/2vgjpJC8f8X7YTyMrRzLyrKVWGnN+fv8s+PljKZULEABWSfL5o7NnF5/uv5invxXt/EkoEOkkDiOQ0u0hYU1OnLf+rut7B3cSxZv0/XOQ44HRlIYJOK6NkOasuRr5qigNYIj9ALNFXIjTrF4J0lcQMqgiZ2fMwINEFPDU1nUsIjKcCUf3/FxhBDcu/JeOnIdPJ16msHUSDf7RYsWcdqC03j04EMcyeh+OWPHai2NlOCEoGhDY7KRD1R/gFqjFhSBGCDfryMj13YDMBIS7ISeE+5ByKYK5BX0HdKgINAeeK5p0ef2M9ijryk1lKLNGeAPOUh7bFlNtIY6sy6Qbq4YfyF/N/Vf+fINf6DcrMJQJumBNPGwrr0Khb3IaKjAvh37+Mn2n5AyS21Igu9dvYhaWUtRFCkAVqwCKU16dpXICUMZ/O3sv+X0aj0XfDASQnDWjLM4mD3IuqPruHjqe1FKW2RNrJ7JqceB0fKzlyOF5N5D9xKzYvxg1W+psmoRCTCimqYbnjOaVzOPcfFxJ1xzY7yRxfHFzKibwQVVF3giBd1dOZ936S1K8oNezsjQz0EIr0WFDZl+bVAciWhw9ek6o6ClsZbSf54zYw5duS7eLrzNBT+6gId3PzziOrZ3bGHdvkc4fcwVNJY1cdvU2xhVOVXPeWnozq6Oy5KyJSys0mtDCYU0NBgppxSZmtJESMGCxQuINukDjj+nlaNYUbaCJquJuaPnMqNiBmVW2Qn35a81/siefYNSaoZSaqYnZHvn9tSl8RHgDOAounJtEXBSQok/Gz4ppU6cFf8/GAsaFpCoTPCL4i84aB9k98BuTnN0WOwnSA1pYLswr/Ic9nY+S0aU6lbkO4BRT7aLLxy7ibf2v8aK51cEgJYmja0cBgb6eSq1Ghub7x38Hi2RFj7d+GnGfWccF1xyAR8QH6DwmwL3xu/lrlPv4gtvfIEVLStYVFiEdbrF32/9ewaKfXz/Fx/GlBafqP8Mp/7TZN5703t5JPcICZkgbaf50qEv8VDPQ1x+yuW0jNE5snqnnvpYPWThrLPO4te//jVtbW1cdMql7G8T7DU6SIQm8bsOTQGd0XAGu7p3cWr8VKqsKpRQ3NV+F0PWEBOtibrA13XZ1rqNinAFwhC8seUNBvODXNX4GRRWkDNyhUJ5C3XizJWcFjqTSF0EJTVIuY7OGQmOA6NQacOQhqVPvY52ShDGiZFR3IpTEapgVsUsJlVM4o2ON7h35b2MqRjDju7d+tl6C/33//J7yirKWPjBhZy/9Hy+uv6rvNK1BoCxY0uRkROCfJEgB+EM6df7YOS7YDhOiaaTBtgRxerBn7PgjXEUPQoqVyx4TegkwgQ7JIgaUe3iDiyfsZyOV+HNAdg4AEvGQFuulZ50D7PsWcG9khgoCTfWfoLmRI6Xjr1IIlzqQ1UXriNcDDPYNQhFSJYnT5j/+3L7eKz7MT7mfIwCtSAEMStOpndY5FhEg4o/5z0wAlhy6hIefv5hHOWw8pTLKXoAkHezDDkOqETwNlVlVXzklI+wIrmClStWsl2adPQCcZBhvaaG03QdAx0k3ARx4iOueXRyNKOTo3Vj6yReJw2B4zo6+pYGtmayUVKDkSFLNGfXoS6ibpR4hX5ff25d0XwFjb2NUK4/Z/F8XYj7ZOZJFIrvbf0eZ846k7JcGY9tf4xPP/tZYqEyrpj99yhHIJZApgCqHaRhYhecoL28IQ0iMsqkirm0S3AMDUYLaxYiWgVTy6YG3y9gCgpuMKcCrXoONl+0GWEcr0R5dw3P+ufav+S1J6OmiwkhviSE+IH350lCiIv/kg97Vw1DG0Zi6+6YCoWb9yaBb2sjNBiNL59BkzVK+0/58G2OLHp1gOcO/5K3strXbN3L6wJA257fTk4VeOnwY9jYXFV1FRfVX8SnJn0Kx3Y4Y/oZnNdyHpPMSdwy8xYODR3iw299mOayZh4+72Fub7idC+dpnv6He/6BbXtfZGnTFYSJsWjqIi4afREmJjfU3MCYijHcd+w+8naer537z6XrMxw6ih1kOjKcddZZAKxdu5a6cD1V4Tpqx85gZfMqft/+e6qj1ZxapaODpWVLqY5UI6RgWmyarqfBa27nuDy27TF25ncyqWwSc8VcPjT6Q4TDcX3/vLScDzpSGIiQQbyuAkIgpEAIgeu4zBwzn+U1V+KgAdyPjMyw6b2H3rSUR9MhT8wZ+eINO2OztHkp/zz5n1k1cxWHga1FqXvueHz8y0+/zFPf1vV7p88/HYXit60PEYnEqasbra9XgjJ1zri/0M893few/dD2kZHRwPCcUYmmk6bANhVOh8PShnNBoYUIeJGRAa4BsVCMbCobTCIl9E9nCA60wdbUVp4eeDqIjGJGXEfqXnI+nUqDQwBGAB9t+SinJU4j1ZMiShQrcaKV5GMdj4HSlJXfVitixUbQmOn+NI/seoSD2YMMAH3CIOcVX46rG0eVWcXo5GhmNmoRjpDwh9Y1PN757yMWRzFbpDZSy6TkJExpUnDBsEFFwYiFKDOqsGx9jcpV3LfpPtYPjmx2CWC7NkPOEH2pPjrznfRJyHnzcHrVbCrDDdqiy4vSNFiVIqPOI53UylrtXs4wUUpKtwbxhQ4LZi2gPFROkSJloTI29WxiX2YfE+6ewId+8yGaKsbwzUteob5qEo6jP8c1PWrQ0B2SXcdFIHTtoXds9Z+5W4T6eD0Xl1/MhPiE4PudAEZ2CYxygznahtrIOifWCr6bhhAiIoT4mBDiXk8K/m9/TTugB9CP6gzvz0eBr/6F1/quGYeyh/hV/6902B7SYbuT1ZPGztue6slEudCvBmgttOo/e+tamCMjIwdYs//fabbGsnT2Ml5+7eVAuolXI/PiwUcpl5VMjUzlrul3MbliMhknQ74rz+L6xVyZuJKbxt3EguoF9Bf7uXflvVRFq4jKKLNHzyZiRFhz9AHCoRhzmpeTcfIUB4rMrZrLHc13MDkymdtOvw2AVQs/Tjo0KXARGHAHuK/3Pvbs3sPs2bMZM2YMX/3qV9l8ZBNtucO83LuG6VureGjXQ5w/4XwqI5VMCE/ALtpBjcVFNRfx+ebPc0XdFV7UqBedKUyun3g9S82ltIRaEKaBcPVG7kdGoCMjZTDC2cAHtdp4HaOiE3RkZBi6uNij6RSAFEhPDiuExDBC1Jr1AbUCcO7EczlQOMBbR94iakQ5u/ZsBoB9BcgNSJyCjqRUQeli0wzgwuxTZ2MKk678UcaMmhpsCoaB7vyKPkXXWrWYBX0Nfv2LD0au7WoVo08RCVjedD2L7cWcUXMmhjC1KacXGUnv9B4Nx8hkNAA8tfEpnun6DaYDQy0wkIKzGs7iYzUfC8Do1ul/w/zqpQgDfj+wmuePPa/BKFQCIywgC4M9g5hGGXuHtfn2x+j4aD0/LZO8rYFtec0lLI8sDzZAO28zkBugSJFeYJQxhRp0pK1cxTX11/DIRY+A0DVqSsKUunksTC4bAUb+evKpqYKto0dhQKQszs01n+DU5KnBQrp64tVMS56YM9rcu5k7O+9kzdY1/KzjZ7QZkM5I3CJc2PIexpRNoegQ5IyE4UUqykYVFJ1HOqkL1+n7Qyky+rcd/8ZX2r7C7mM6epZIltQtISmS/N28vyPn5Pjc9s8xmB9k7U1reeKWTdTER6Ms8MseXRe9m5oGtuN4EaykQIGCW2BfamsJjBzoKfbwXOo5Bt0SbWxIrYL166h8UQxAd283P9zzQ/anTir98n9zPAQ0oB271wEtaOfuPztORuUwQSl1jRDiOgClVMZXwf1PHqFQiCnhKZxbdy57w3vxDTYtrFI7bcNAufDm4AsMuoMsqbygBEZeq3ql61A5NHCEnb1v8rn6b1I5T3H7jz9HZF6EqBVlQ2oD2wd3cbCwnxvKb0EgCJkh4jJOxs6Q69RRQKPVSI1bw/fmfo+96b1cMuUSuo90sym1iYXphSxtWs5vj6zmnNOvI2FVk3YP65bcCpJmkryb50Onfghnn8P8pTfTeQgK9RAu9yS/Qqu/TNPkvvvuY+XKlfx9/nNcmLyVZ47cS8iI8o3zbufa6dcyyh7F3Ohcvt/6fT7a+FHqqEMJhemYGJbOGeXtfCmvk9By2GNdx4iMn4V0ZSBg8NV0Qmh6aXhEubxiOY2JRo71ttGWz1ItJmgllSI4uftyXVNaKMdGCklltJ7lFbdSP4xCH18xHtu16RzoxLc22uVCtgPyUQOldNQr+rTKrLOjEwp6U2qKjeLw0IFAvAA6MsIDo3gkztVVV9NutZciI6HreQDKo+XkQ9qNwAejfBSKvQX6B7MIJVCOoj7eRNiI6To1AyJWlIGhXihC50AnvUVFPUBI36dYSP+uf2pX3mFZSEirQTr69yKroCpZ0hT9uu/XRAYipGIpTDNJ6wEYP6EUqQJMLZ/K4SOHMSyTggdGddEmqgpoR4goVMQq+MgpH4Ee2AKcVrGCUZ7IzXVdxkXGcUbzGfj6O2FAY+V46qK8Mxh5ScS8o33jQIO9K0BlvLSkK5hWOS1wJhk+hNTbzsLGhZhHTAYAXKkdU5R+n6Krc0bCBCTeIcAmfTRNLpWjLllyLw9qFj06Urp6429ra2NaxTQmpyazuG4xlrRY37eeD8z+AGePPZvt3nx0LXC8QNJVBPVvTr5IRaSCzrBDhxflFNw80tARm+3oFuovDb1EYaDAhWjWI2pFmR2dTbmp+ULXdrEMSxu0DuX0ejBOjHLfZWOiUuoqIcRlSqkHhRAPAydVIHUykVFBCBHFOy8JISbw3652/+uPxrJGrqu8jjqzLpiUPuXjFDVvIUzNxZ1SfRpXVtzEhMS0AIyk73vlLbqn92jKp8KsZuF4XeM1Nj6WKquKZ3uepaN4jPHVc1he9l5AT6p4JI5Siv6D/eDCBfELyKVzPHX0KZY3Lwegv9jPa0OvkepPsaxJ/91ly2/FjIXIq4KmGFyImBFs1+aNw2+wsnYlEStJ0YQB7+BlmJ5XmpczufDCC1m1ahXrDr5A1Iiz7fBzrBz/AW5bfBujy0eDhAazgQsrLwy6c36r7Vv84+F/ZOvQVqT0wMhbIJuGNnF/z/38+tivg/ui/KOOn3PwwWiYCnFR2SJGR0bz5r7XWNf7JK4oWe/4NJ1fyNgcGR9ERq6hF/9wm5TD3Vojnc/lg81vKK8/367y+u7kXfLteYyiQaFQgLw+5Y+KjdXPbGzJCEQIMMLeZPdzRlmNBtWRar7Y9EVmJXQu59xp53JV7TUBRSQEbMq+wT93fo17tn4bWxUJEeGGCf+LMclTEFJvnjErpqmXbMknUCqQpg6GWrOtrE2txUk7KFfxyM6fsSe9BSHh4pr38b7K93Fh+YVUjA+MkrFMC7NoMtg7SDRShq00NTR8pBx9WFUh3RDOkdDmtLMxtTHoLBz0MpKQcvT1+vPdsR2taJPBuQEhIVXsp6vQPgKMapI1XN5yObXRWu356RD0VhIWPNb/IOsP62oRp+iwr38fg/ZIoYkChoR+hnXhOiZEJ5B3QUnBYHGQf3n7DnYMbMD2L8bQqWLr1wAAIABJREFUhwlhapoukU7wmSmfYUbNjBH3CQFX1lzJV2q+wsTkxOC7xcwYZbKMVDbFxOREDGHwhTO/oP/dm4+uVWqw6UdGwjQpKJvzpp3HitpryPZ5vofSo2al/v6za2ZzXvI85lbMDa6nLFrGeyrfQ3Ncl3XMbJjJjJi+3lzaE/S8+7v3+DOtXwgxHZ2JqzuZF54MGH0Z+C0wSgjxM+A54La/5CrfVcOEnYWdPNnzJNLyuFovZ+Sf5ISpI6PyZANRGae/2BcoxIQAx9IyTYBn9z5FbbSZ1sIhxlVOoDxZzurDq/lp608puAV+cNkavvWe9WzIv6ZVdqEQ8ahOpPYe7gUHirLIYHpQb8JeTdLEyol8qf5LNMQaaIg28fW5TzBl0jysRBgHRb1Rz42jb6Q+Uo+jHNYdXMe+3D4cpTeYfs/5xzS9RPGwRmN33nknYSPMbW9fhVIuZ4+5Pvi3o0NHeaD3AerNeqIRTUn55o778/uRQlJwC4H0u7LcUye64EqBdEGE9H1aUv8ewjKKaUWCzcsfPXYPqVyKJRPOYUXdtdgCWqItQT2TNKXe11w4r+Yq6q1GLBkiZQ/w04Efsbd9b/BeT7yta57yeX1WkoaB43pCPE/269oub77yJlvat5AqpoLOrWMSeiOacsqCEdNEhv1GuQ5fb/86Lx1+KbiflmEhhjyk9el9nyISYIc1fXVmbBmWDON6YY3w6mCUhKgVI2NnUOmSohBFkJNszbayNr2WQrqAchSZYoaiKiIlpCpgQmwiixYsgpJrDisnrWQpSxnqGSIcTuIYpXnqj1d6X9FsgGWgbA3su3K7Wd23GqdPH1haj7Tyw50/pLXQQSYHq3se4pedulOvT0MhSrijJLzd9iJren42AowS4QSzymaRiCT0Ru4SUGVCotWRWX0fs+ksD+18iN3Z3SOuNw0czAuKNhztP8rB7CFyNggpMZTBgurFVETqNRhBsLMJ72DjHHUoy5QRLS/dKJ+ms3O2RhifcvOMWP22LGfWncl3Zn6HCVU6v+NH6q4Fjv8a5QGyR9Ph3dMJyZne5ZgIqQ8qjqvvyZL4Euqj9aUv6fNN3na+qHkRZ5WfxeLEYuIqPqJg9108fuBZBn0JWA1sB05Kj34yYLQB7TV0M/AIMB849Bdd5rtoZFSGn/f/nPXp9cHG7zvj+pERppbM9ckBHui9l5d6nw5O+3KYMiZn51i3//fMqj1b+2cVBFeuuJJHDj7CF7Z+gTkNc5gz4yxQUKCIcnUxazzmgVGbBqOfDv5Uq9mGS5q9J+RkHbb0bqYyXIuSYJWHcQSIAYPxkfEsqFzAe8rfo6XXUm/CSkCf9339ivbhUujGxkaumnI9aXuAMY1zaK6civIWVzQUZZQ1iiFnCFe6wXucGjmVFXWX4kpJwSkEkdGYujEsiS/BEAbKFEinlDMakzyFj9V/jppos46MhpG8P+74MS+2v0h5pIKqcB2ugEuaLmFRdJE+BRrDFr+ED1bdwtK6y8CShESYN998k9Vf1KanV0+7GkAXBysQ0kQ5mj4Spgzsg8ZGx2o5rwsqp62bGiJNfGfh75g7d9mIeSIjfm9CSc7NEXWjnN94PtWRap5NPcu2I7qv0JoNa3ii6wkNSN73tpLloGCsMYGlVZfSYo3lwb3f52hmP8LQm3fEiuK4DoWuQiCzF0pHDA4jDVolkpunfJjJ5XORBrRNBGchWl02fIyFlJFCdSrC4YSep8dbOnrPoGgJlK0lx6dWzecztZ9BDuhJNzQ4xNH0UQYNBzcHLfEpTAhP1s9iGBgFkZEBwtBFr8qGVFsK13ZJD6Q5NHAIW3rmQw4lulvAJTU3MDcytzQ/lTZxHT7ygCpIXBfWHljLUz1P4ziwuPoiLi17D0vqz6Um3oLtmz940WkokqDFamHDMxt489ibI+6VaekD2hMdT/CV7q+wsVV3MPaFAw1mA2EVpjHWyMWNJc2W4+oDhWsRNNh0la75ndtwHpeVXclTbz3FM52PY1kxHahJE2l6NJ0LnflOftL7E9rz7cH7DhYGuePYHWw4pKPEXC5H1Ixyftn5VFIJbslv8t06lFI/Ukr1eZ6m45VSdUqp75/Ma0+q6BUoKqWeVEqtAWq9v/sfPSxLh+jnJs8NTDB9mq6uvI6lNUsJh+MoBUeL+3GBSclZuMMOJq4HRusOriNTzDCnXm9kbt7lCx/6AjPKZ9Bf7OfW+bfieEneRKiSmeGZxGNxErEESSPJUOeQptqsCH6HSDOkUa8/38/jA49z9NjR0iI1wIqGUAIO72hjW+82auI1TA1P1Yl0T5KuDG3woPNaupjULozcleqjDUxMzOCiMz5DMQyuR3tVRatoCbXwaPej2FK/xjQ05dEWhtNj13FT5c1BZERUR3aOo7VDYljd9aHsbt4e2qg3wONouktrL2VO2Rz2tu9m39B2bAkYcGbsTD7Y+MGgVYdS8NveX/J4/2MARCNJzklexM4DO9n48EbohcZYIxWyglw+h1/zgaspLywNRm7epVk0syy8DCUVxb6ittIB6qItJ8wTIwQFE3AFpmESc2Isrl5MRaSC3fZujnYeBbSsPCbjQVQjBJhJzf3vyu5kfOJUmq0xJMwypCdqcSXURGqZEpmC06stpKQ08Gu0XIZ54nndQ5VCq8Q8yke9U/bWgsMTDkMWookqHKmT5sPHpVMvZULZBAqmnh9uGMxQjDKjDNHnuQ8U9GcWwiZOEU6pWcic2AJw4dJ5l3Jr061BZOSDkfZndEl1pvmX6/6FF771Anv27+GB/Q+QVukgMhoORq4Byovgg7IKY6QDQxFQXqradmwUEuVARaSeGllDppDBxgk4It/AoXbMTG4e+372vr6Xbb3bGK4Wj4QizInN8S4esnmtVPP7W63Pr+fQwCF8Vaw/bAWGR8f6kZirpy3JWDU1Zh0xGSNsxOhwdFmOQgUCBkfBwfRB9uf3s2GwZGYTNsMsTiymIaLd+O//w/2sGVhDTuXIDmVJO9AdftdHRn/xOBkw+hrahSEuhJgH/Afwvv/ay/qvH6ZpYkiDvJNHejUrftRQV17H0qqlhKIxXRcS1VLaslD1O0ZGD25+kPJIBafWLPbkxi7jG8bzh6V/4MEzHuTm2TdjoxehI1zS9hDKVNRW1PLZxs8yyh4FDrrnvYve4L08Vk7l2JzdTG+/tgERUoNRTVMzZ5VfxKHdrTza+ii9qpc9uT34tU2Ot+BTCSh4TlGGNEriDAjA7dNTv8PZ895HIQSOn4ORUPSKV31gNKTBrtwutqTexk4LLZn1eWwTXs+/Dq4+0QtvQxUCXu5czTMDq0kVejU9NWwDPSV+Ck2hJjYfWs/GwZdxBfz62GrWDK7R7T58Wk9BVbiBrdktbE9txLag3KxiXHGcpsoy8PbRt+l3+8kXdWSE1DSrsCCerOLG8luZUDmBo7uOEnbCNIebcQY9H0FFoFwaPgwDChFwcvq+ZvIZejO9ODh8fOLHtfoMWDZpGedUnq8pIY+mM8vLUQJeHXyZLruDglPg8pbraIyNRnpgNKliMtdVXkcsG9MncikRHsUZREboyCiXyfGj7fezN7U1yFke17Q2GDNPncknL/skVePGa4f54yKjudPmcsOqGyhGvSkXhn6V4sXUi3Qf0kaidl4/31zYxLYhH7LJOXntViBMQiIUREYoDwA8O6Ch7gwMwY61O5jYOJEbW24kEUnoyMgDP38dPdH3EL/tGNYTC07wpit6k1IBtm0jhETZcCS/n1dSr3DPjm9yKL0TW3gCBu8ZiJCBnG+wqmwVq+pXBfQg6DXmW1wBQc2a64VXW/Nb2dm/U68TWZobjqMdwZGlNjLK1X/Xlj/C5qHNLJ24lCU1K2jNH9DCGVXECuloasCjaYESNYe2KDu3/FyaYzpndPbosxkTHcPXO77Om20bKDqQyv4/DEZKqSeBbwO/Qzdfulwptem/+Lr+y4eQAkc6vJx6mYmVE/l47cepimhFUj6bZzA3iC118tGIaefu9vyREtftWXt0pbt5bMdjvHfmjYQ8hZWd15xxUia5ccqNug2ARx8MMMC+/D7dTsIEDGgqNHFa2WlEQ3pnEEogTf1ofPeDQqYQbJjChPioaqYnFrAgfQYfG/Ux9uT38HDfw+B6oKPAVJBPwoB2zNctrIsjPcCUqxDCwBBgW1D0wKg338va9Fp8t4TgWoDO3DG2Zjfy29RvNRj5Cp8QGoyGLTYhYEnT5bSEtI3Q8QazRwpH6Mx24rqudnWQUB2uoc/pY2tq6wiabnbVWTRbo0jbgzghOHoKjBk7BiUVqqh4cveTIKCMMq4ccyU1sQb9YRbIkElNqB6jYPDDF35Ixsrw4eoPE7Wj2sFc6QLK44eUUAx7YGSY7BzYyd277qbH6dF5mhRBvsGVXuTiqQhlJIzywHTtwG9Y1//MSPDwAAkF9PmigBJN56LpHdCRkVNw6Mi0k3ez3savD0N/bFQ2VeKGhaYn3+n3/HZMDqgwpESW59PP035AU0fpHu1qb8dimHlY2/Mrftr9Y3Bg476NvDrw6oicEbIUGUlbR3huziUZTjI+PB4zZJZyRqHS/EiRYqCgJ2kQGYl3ACPvFOPYDkoauC68nXqVF9LPe8/PoChK1yK8mi1lAheAufA48bCE3YXdgUgjACPPQf6miptYUrbkhEjNdsEQBD3NPK0NhoD96S38LvXbIIc4qnwaWn1ZjhECsxJ6PDcT0BGTPxSKIXeIQk4vwjm1c5ienM6KshXUGnUa8OT/g2AkhPiuEOJuIcTdwDloVcQBdG+Lu/+7LvC/dHjfPhwKU2PUBN5UG7Zt4Fv7vsUQBVwFVlKD0dv9rwXUk/CKDn+y/d8pOAWum39L8IYq5/LW9rf49q5vk3V16G97ORR/w5KW5tsfTz/OsdQxLqi6QFOHSkcawtSz1V8Eft8egaabRBI6zW76BweoNWqZXjWdayqv0bSU0GAUUVBMwqBHgRwfGQX8vDSImOCE4ainkxxBk8jS6/VFGHQ7HRRVkZtG3URdQotlQrGQjgzwEtPeaEpO4Mqqm0mGKk6glR7vfpyXul7C8YxSHQmnV51B0kjqzU6WwMiR8L6KDzCveqmO3EJgxD2KNesE7c9DTojp5dOJhXWk6YbAEQXezL3Orv27oAhV8SpPogVNdU18bNLnaY6NP2GKDHdhMA2TelnPexvfS1m4jI1DG3m081EYggf/8CCre54IlFxCAKZAmfp5n159AZNC07h/910cyxzUG6WE7mIfd3Xdxbat2wIBgxAlteZwms7fqBEyyDk5fyQyCp6xq3N0jgtHgE25kf9eQBegEgYrEgcJmU6tV+4+0k2CBEQjSBOkWWoeua99HzuGdpRyRv73NrzW4H4Bed6ho6ODbf3bUFIFm3egphO6Fqjg2JABJ/MnwEiUIiOELmI+s+YyrkheraMhIXVkBEEvaldq8NsroTNy4v3ZmN2I7zLheIjtR0ZxI45wNNr67Anow5YhPJrO/z5KL5NZzct4f9VHeeSNn/N056MoQ1+z6eU/wzXQb4HjuywPWw+2srmz/U7eOPoGAF2DXRRFkdOTp1OBFgiZ0Xc/GAkhzhBCXC+EuNH/OZnX/ak6o+P95/7TTt3vumEACgbdQbYNbWPawDTKKWdCwwQuqbkEGbIgC2ZS03S2skeo6ZQBD+z4EUtGL2F87TR62nT+wM27ZDNZBooDgVKv6OjNoyExhlFZEWzwtmmTzWWxbTvoRWMqM1hMhqEL4YqByaam6Qzgt5lf4XYe4+roRcyvna/7JdmlXIkpwY1Aztuwzq0+l/JYefD1nYLjyU4Noiakx8HeLhhTLH0uEFyrTx0qIVlcfSHTLa92xTvlfuqCT5E7lGObLIGREHBwaAdH0+3Us0wveu8wWARyQuK6CuVtxH6kcE3lNTgxZ0TO6MWe1bzYc4Dloz8Z1CtZvjAj72iay5MfHxg4QCTSjEsIMwxFlef5oaeZe2gi2FCIFbi/7X4uPnwxLTNaCIkwhhzRzse7/1o1WSjqyDLuxJmZnAkh6Ff9bM9sx+13SWfSxFW0lMj3wOb6WR9mKGlhddWRTzkMFdMo3ODUHg5HmRydTFm2jOpwNUaoQueEPLWm4TkT2FldYKzQc0B6Ff/qT4CRwlN5SbALOn947ChMqQLfmrEIyCKIKBhWFAS6pQLQfbSbGmooGr44wcBxNRhdNf8q3ZHMi4yE0rk5IXU3VjunQcXNu2zbt42Xjr3EP8z5h0AWLYdFRoZlUcwUee3Lr+G0ezTdO4BR0qrmtNiZHJSbUR4YRUMJojKmAUPqyOj4Z4CCtjz07oa6GSPeloZwA8fy7TiWgeO5c/ig/1L2JZzBkTkshSdg8CJTX/2ulI6irWiUmIRUJk1ehSkYGtikpe2xInEYqoBESpthj0uOK801r/zCj9B+sOEHLBhawBx3Do2yhWWVlyCiJ5NZ+b83hBAPofsfbaJEgijgJ3/utX8UjJRSDw77gBAw2fvjLqXUiTbA/xOHBSjoK/bxTOoZ6vvqKaec+vJ66pP17DX1IjOSekNwUQFNJyUcG9zLnoFdfPKMv9Gnd+H1sMk5QfLX38BtF0wBaZWmw8kGYHPV2Kt4ePPD/Pjoj6mr1hGG3zYcStFIIVcodWKV+mQ2Z/KFHOl9hrXda5kwbgKbM5t18lzqAk/T0HSPXxQ2u2L2CM7cj4yE0I3qKidAz0HYdxTG1Z0YGckg3NGg0VPsob2njVOSp2BhEYvFiE2N4WQJvp8Q8FLb48TTBVY4i0DGguioHUjbknzOd+02cQx48tiT7O/aw6fGf2pEzggp6XP62DbwJlLO91RK+oPsjI3rupydOJt6s54H9z7IlVNvRal6hAXRcIJbam6jW77F3vxeakfVUn60HCNj0NvXy7qO9dRWLCDMSEN6KT0wsnWU0pvr5VD6EC3lLSSiCRSKzJFM0MJguIBBGVBb1Yw5GfY/00pffg/K0PfR3yhDVoRLqy8FB26acRO7itAqSjlJw/Esa9LF4MTuU7V/LjLyJfHKi4wcwDY0beuDUd4F09Zg5EpJNBQlM5BBuYrutm6mRk7Vka4HNK4XGZVUC95/PNDzabq6aB3zq+fTIlroLHRiChNhCr15K50T8++vMEzyTpZnX32W5mPNEDsxZ1RwoSxUw6zouXQb+8hLiXLhQH4nB7JbUVF9fbbAE6/o1/mA7TiQFQRF6v5oiDTQncuScjMM9uqbWR4vZ3pyOlu6tmClLIiUIiOFlx/yhDae4YMncoCjmUO8PHQg8FqsaJ7MObGbicTqvMMH9JZDqKuF266+Tfc484bftsL3//MPV/d03sMS6xxOLTuL9DtEd++yMR+Y9pd0YPizMCuEWArsAe4B7gV2CyHO+j/9oHfjuP2y27n90ttpKW/h9rrbGZscC0B/fz/HcsewJUgHrKo4E5rP4MyJq4LKcSlh85FnAVgxcYU+Ani29m5ed2v0cz8uejMwDeh3ehhyM8FmTRjmROZwevx03YsGWF62vARG3mmpmC9ZyfjJ2cqWUSSNKizXojXXWsrxePYQytCRS97b/HudXnozpX4ofj2FEAbCgFAI7DHQly/VJekvq/8zITnBO5kbbBlaz/d6vstjbY+Rl6UaaIWXnxi2lxRVwaNR9Bv6++cQgCspOi6u67l2e100+51+tmS3BL+v9Qh6Y07bA0EuxqexfCcKQxiMDY3l/aPeTyJaqa83BDIiCBsxUukUlmMxqmEU11VfR6NsJJVO8fbABjL2ia4lQRsJV3/WsfwxHjj4AAVRIBHT1tzpI2kNpp5f3vBTuV9/smnwFdYPvex9+RJF4wLKUth92j/N9aIiITwwoiRg8IUWfnSsvGT9HxtBcaYHRrarP69/2FEyX/SAxttYY6EYmcEMme4M2VSWqkSN3sC9Q47tgdHabWt5ceDFEQIG7ZTtdVvNwcUtFzM7PBu7YAc9thzvd8WwyEgaJt3Zbtycq50G0tAWMTgwrLS+qKCoHNJqiKJT1JGRC/uyW9mW34qvnrT9Oes9A79QV7mQs8DNaz8zfxVszm6lQwygMCh4IDC6fjRXNl1JmVmGqUxqQjXBPPPvqTAJzJJ9GhkJndnD/CGzVq9XBMKQlI0dq90lDDBNkJXQoyBWFYMSFiGk0PZYXmNO13UDKXdXrovOYgfuSO/Yd+PYirYD+j8eJxPz/QuwXCl1tlLqLLTn0Lf/kg97t41IJEJkVATDNIgYEWRR347Xt73OA0cfwPHASEYEY+csJ9pQPxKMDj7D6Pg4JlROwAESoWpurvtbJsanYBd0TxP/NKhcvbEtXPx+VrZcF8Skrw68ygtDLzCzbCYhK6Sb2sWnj6TGBBQLxcDx2R+psgzbc2+TVVkMS+/+qxpWMbFiipbPmqU6GYDHOh/jqY6ngtc7RcejF4wS+EX17/sg6C8ygFmV2m1ACEmv3Y0Qgv/V+DGKsdKKGp4/0L8b5J2DqC4AIxdAq69cRx9ZHQOk9+I9ed3Swf996RX8CSFRht5ofPqkMKSTvi8PvcwzqWcYExqDEQ4FlJBrOrw09Hve6t9EuSxHxD2qdBDGNI7h4+O/QFNszAlzxDAACzJCg3FYeL2tTEODEZBuGwlGQWQkNBi5ePfYu0FSytK/u3BP1z08sfsJ/m3Tv/F2/3q9cXmS5+pwDZ+p/wyTyyYH9I3EOKmcURAZ4UVFSn/mwLBn5VvzSE+9FwvHGEoPkT+WZ1xkHLXJkghEGMNyRh37OJg/OIKmw4CWmkmcU34pvT29PNv6LN2D3dgFG0taQcJfDndgEJrCKroFKEKX3QUFUPFq2naUvkvBho7cYe7pu5OubBfKB35Tn0qUCwhDg78ikHb7BwIXyIegMAT7irDHe++U0LVPypBBztFXtEohmRyezMfHflwrXYffU1MD0vCckRJghPR1FfJFpND53aKXk/K/r1kNGf+aj59v0tD9vYYJOQxpsCW1hae7fzmiuPldOmqA7UKIZ4QQq/2fk3nhyXjTWUqpXf4flFK7hXj3e1L8qaHQ/HkZeo6k7TSvpF5hZs9MGmjALtqYwiyBkeVxz0WCO2bbBXYcfJ4rR79P29ijN5yEmUDaukbDN0l1ABzNqcfGj6FuCFIGJADbsOksdjKgBphYPpFUNEVXsUvLmilJSmuMGj41+R84aouAdksnUrhA1skFdGCcOIahhQRYYER0klq5cH79+RipUsjiT3hhGKUcT1i3+BZKnhAZOcIJIiMhJBYWlqxlfQ5qUjAreRJghHeiB9I2GoBcN0jeKxOE1zbdkj496r2naZQiAS8ymlZ5KpPrJ2trfY/C6rK7eLv3baL10xCuiYjoZ7g++zKVEkaFWiiEC9zdcTdn7jmTRWpRUL9z/DAMsMqgS8Cy+mUYHQbPq+cxDINEJAEC0kfTFAvFUo3QsMjIPzlLYerPUFqE4v+7ciESjpBNZwlXhzEMK1CCOSbIgkGZWQZFT/3oR8ee99rxDR6HD/8Uj04lYtsa4PzaM8dT46mwfl6u0satA6l+qvJV3NR4E2kLDrl6XkjpgZGrr8Wn0nyaDgOqyhppijcyMLCfVzpe4Y3BN5i6cOqIyEi6oLQqXEeBprZ8IgfXTrqWUalRbDZjFP3rM6DgQDJczbnxlTQ3R+jJVJPypOSBgMCj0oaXFbjCq7FS+vsO5qGQA+GJSpcvvYVUh8nefWuptGoA2LB1A8/sekb3SvK71oph99Qrm5DmMMbS+/7S0t/F9sDIFfoQYA479kvL6/jqjKQMQT9bx3YCCt0HozGRMYwtPwv17qfpvvKXvvBkIqM3hRA/EkIs9X5+yEk013s3j3ZgfRp6vT5iOSfHK0Ov0NXXBehN2sDABoR3clSG9/8evbB792vkCmnOaNB1JrYLeTvPa6nnaes/qtt/e2DkR0bC0ieqfgveyEFrF4El0Jq+NYyrGEfKSbGmb00pTyMllmGhipqUl7K0Y8aaq/TG7pQimee6n6O30Kc3DFNb4RS8YtaxibGMMkYFoUZFooJbT/k0oxNTgsVmmFC09HsioEJWBNfydPvTWsmnNbwU3ALrB14n78KBFBw+5AGvy4jcVG35OH1qlDLYQAtAMQ9KCq2+8sHI0Bs3qkTB+fut8FuNK82lu1LLymMihsprPmxZYhmzorP4VduvyFJAOFpNJ01v0ypAebgcK2yRdtNkUhnaO9t56th/MFB455bO0Qboi0E+q22B9MFCkkhoMGrb20ZuKEdlonYETRc8ezSF5H8ZaQwDI6WjkUwuw6rJq5hSPjsQMLgG5N0i69LrONJ5JKBVJVLbBck/XmfkPwZtz6QPGLa3iabjUEx7G6ujgUGaeoOMh+NknIzmsgbBLtfvocIgTCPIGQXedP7neDmjbDFNe+EoYxNjubz5ci5JXoKdt4M8qOOtKYbVGUlDA7VVtJgycwrRpjjZmJ6HbtGr5bEhHC1jdnQhM8pmUh1pxjABfz2oUq7Uz1/5ilflenSlAX22Xgt5b47HahqJV9dyXvNVzClb5M3XWuaVzSNiRNgytIUHDj0QdMv1aUYswByZM3KlvkcKKBSLej5763P4CK7rHeT2frNAv9WJNHRPpBqzlsbo2BG03rtxKKXWATvRHaeSwA7v7/7sOBkwuhXtL/QJ72c7upvf/8ihgFYXcn2Q1bV9JRNRzw7ILmqO21beyc3w8i82wSa7bfvLAMyrW6Zfq6AoCmxIv0R7qj1oPYwoLXoR1oDUG4ZCP3T2azdoAFvYFEWR+dH5nFNxzohT+hdHfZGZ8Zk8d2wN/fnu4O/DCQvb0ic/w9Kn8n1D++i3B7Slv+kVbXp1MscKxziU9xFDe7+Vm+U6kvL2SulJpt08hI0wp4RPCa5lYpn2b5PCQHj02MsDz2M5kB4LmVwJeP3iYCFgxpnXcc78j4EptEEoOl/k5vUHOq7LZZOvZX71ebjDaDqfgvNzRvjPSTc1wpXQnevh96m0U1e8AAAgAElEQVTf09fT512b1IDhApYReORJQ9fbKBcq4hUIKQhbYfJDeQYHB9mV2kr+j/SKicUhUws/P7Kadel1mOhkfCgUImSG2LVnF+Shpro5yCf4YOQxPhjCDDYtP1GtPGVhIpqgL99HMVPUOQ5RiqyKruKF1Asc6T6CKU0aos2EzehJR0a4OudlK00XGcKrPRscluswPcGECRFTe+X9cs0v+cXhX+DECOqCpGGglO775dpuAEbDI6MD3dt4tPuHZNM5ZpXPYlZkFnbOHnEwO56mK4vXoYBKWYmoEBTO0CrQogXK9twXHCgYRTqcdrb27aA73wFhj7IF5iWXEA7Fg+gzyFl6USFe7qxHaoArWBqUip4yLqgRA0bXjWZFzQrCRjgAf98xPAB4S0c4I3JGBkg/x1ssItBzToeDpefiR70nWDQxjKYbFhlJIdmb2UNbofVdT9MJIa4G3gCuAq4GXhdCXHkyrz0ZMPqIUupbSqn3ej/fRgPU/8gxYMDAkFaY+Qv5+D4ixXwRS1gajAy9UJXhnbi8TfZY214qko1Ew9rsyna0D9ZHm77M7MS8EUlbfzGoEIHnWLGo6ZJI1OulhMOOwR082v8oCSsxkjKSMJQdYk9qBzl7KPhrw4DZC6/hqsabtCWPgFV1q2hOjtGbokVQtFnMw4s9L/Jk75MBGA32D/KHjhcZLPTh1VZiGBqM7AKMiYyhzCgLrmVm9Uy+1PQVplTM0/SIAkNaGI4+cRf9he/ozQS8nEAkRPT/I+/Noyy5qjPf3zknIu6Qc2ZVZc2qSWOVpJKE0ABCAovJgDBgbDNjY/CysZ/dfthuu5vu13+4/Rre62evZb/GPLcNeMDYFohBCDEIWYBAEhSiCqk0lWqesnKe7hRxzvtjnxMReSuzVBZ4IbnPWlnDzXvjnjgRcfb+vv3tvUdXSwkYf6xFkCKTPmN/OF5FfzIkeTleCFIWPMj5eGREhvZqtanWNN9e/DZpI+WXL/llptwUX579suf1o9wL11o2/2EzzCWDlwBS56vdaEuswJF3j+0eSQJuBPqrElMKTgZIjcGZ+RlM0zA4KkUvg1eOFmMjaMlTWrYUM/LGZPeFu2lmTf7wm3/ID6e/hweeok5TMf9p43/ixlU3smZ4DW/b8l5Gq5skKVYtH3cII6ybjeTaOCt7WbsPZhsF5WSjYoN80eiL+cDqD7Dx1EY2xhtJq3IMXYFVA5t4Qf1FuJYUdW0bzbT/HmUBA5tWX8Rrht/K2ORp/u7g33G8cVyQUXgWrDdGJQHDRWtfyEi0muF4GHxhWpdCx4jhCMZo0o7x19Mf4R+OfIq9Mw8Ivag1dVXnRQO3UkmkHFMwjOW4XIjpzBov5jCQdnw1hQjuPPkJvjou8dS0ndJO2xhjuKh6Ee9a966ifqVfM2JxOmzp+GhQSbjOLjeUzju1YeQlkFZARktoOoSmm2xP8v2Zb8o5P7fHfwCudc69yzn3TuCFwAfP54PnEzN6F/AnXa+9e5nXnhfjeAztOWj2kPci6S4i2m61SUiEpjPFzaMhR0bHTzzFmtU7pN0yPpBsFKEb6WjfKJVKJTdGFogSaUng2pDWYN5CpKqgoEf3sKl/E7tqu5ixM4wwks/5rum7GO0d5X1bf4exSDZyEGVOfdelDFXBGKmBZTOLjVReCSBXg80J0ggtmAGmJqe47/Q9XLl+I31KtL5ai0eaNWDaTnO0czSfR8u1mEgXsW7Qa1vFM9WI4etQICMr8Wp5CIPqK1AnCDLKLFw5ejPbJx0/PPUw841BnNlC6jwdFTpfhgl44j1zWR4P2N6/nQ+u+aAQAj3wuH6ckGtkIy0FWxOJEUQm4cLKxayuSzyuElVoNVvSDwfQywWN/DnU1sP6oSuJzhxjv3skd+NW96xmen6aa2vXogci9BlZizxm5Dcr7ZHRttpFJKYixsHPc/OmzYwOj3J6+jStVc0lNJ1DoY3y3lPhvStDjrpXGjmFFEHb01WRBluHhi2QkysZo2S0SqLhxjM3wgVwPAgUElg7tI3dvdswFqy1zEWaRw5A39YiTtPbM8T66hAzsw/zxOwTPDH5BBubG0X4oSRupTRL8tCscUxlU4wOXMiTizDSKxt1GnkUg/zfxgoH3LzqZcTJ5cx59V6LNo1sEatqFAFKvwglZ9AmkLZkHToJtNuFgzhSW89wW3Lw7t93P/ccuIf1Zn0p0fjsNdVaqpZkKQUT4WNG6yrr6dXrinu/2xjp5R2J6wauY7g+nMu7lTHokKqh4yW1MZ+jQ/vW42FMcH6gZ2Vj5JvpvRXY2qWG6KNQRj7vxjygGpBuBOuXLKfpPDJqN9rEJKROvKaAjMqS1BMnnuLS7a/Ma1OlDqzKuGf6Tq4fuJSbLrwJRsh5cueDwCqR58UMQ2MB+tujvP6q13PJyCXU6jWOtY9hFg3b2JbP+UTnBPFizFAflBqbSifSRJQ5wz5J9Y7xO/hZ92tAHzoqVRBIfc26kCcCbF67mQ9c+kH2dVQpRiWecrsDr1r9KuKZ4gvvPX0v9419mytXvSPfTUL5Gh3LQx8eVlX24DS55xiEBwsWXAdGB7eweR5uP/xh+tNLWWe2YP2OG6iR4F3WqoM4IImqS2IuKGjONdl/Zj/zdj6nVjLfyiJsHG3aPNV4Clt/ORpNEiW5MfLKjBXvG5PAYjVjMV0UStSv11u2v0U+uwqeTMjpmmCEM8QYBWT0mlU/z2RspJq6EmMFcMs1t/CpL3+KDmlB0xlB3F+a+RKbTm2i/1g/f/vUnVw2+jNUo7VLlInLjeCwu9iX/fFxy7BB5zRe4jdWXzSVi/1PuJ7+vk9VRsN2cK2KVz8aWotQTwUZOQXzrRkONE/S25RitVh4zdbXoI6Io5Z6Wiy/NTTsPXOfdGOt9nL6aei7wjs0Sjb6DoIglU8gX21WkyVDzGtAK1KX8tFjH+KG7R+gqntFIKELZJQ5jxAr4Bb8cevQapErBa8dvZUNvqFfqNodmYgDzQP82ZE/4/07379kTQPrkBmP8AOL4lWtr1r7GmbaG3jMiPN5Fk23AjJ60dCLoAaNuMErN7yKSbOe1lGTsxDPA2P0JaXU3UiHB4CfB754jvfn41zI6H7gJCLV+79Lr88Be5/FJJ8TI7ViYIiKjaCbpms32tRMj3i0QZXj9x8XQbOxwMTESdbeuCMPUGcZaON4dHEP2xpDkF6Yb8B5ELsim5rTUNkI88dh5ihc9cKr5Hsn20xn06xhPZOQp1++Z+N7OD57nH86+fdctukVxP43xgAVQUqr/WbXsA0arp17b8EYdVKPjGyBjJRVaGcKGhLyJM9OBtuu2wYlH8cqi1OwmM15Cy0fUIhXnDp/rp7WgWWQkd9AF1OpnTeRneZ4u8M7d7+fE6c0RzT0+E6X1Ui4vrDhDg6sFzqnsja/JlOtab41cy9bj2zlswc/ywYrRSYdLt/4Ql6W0zDWPCMyRqQMVHuuXQSLu6VNpaE17Jn+OtPNR+irDPF9B1da6ERSlLXSU5EcIR+DCedtkY1U+xqDHZeCMgWN549/ydZLeNtL3s6BgU05ggw03sOLD8McXKmvpM8MYEIZEF3cw8uNXFgQIco0C1TJJckhnhXFxT1uu9pmBlRBAk9PPMy945/n/5j5bVH2KU07kZhloMZOTh9k79QdvGruBm8JYdSMoquyth1P54WhFAz1b6C/cjEbRi5nMYZWm7xzaifzNJ0DXRFktGd6D6OqD8zGPK/pJUOvxsUVcRo7FDSdp0px4CpiiEjE4WoseCez7lGoR502lfYYb1v/Nr7S/Ap7071LkZEr0G8WU9T9K9F0aSrKU+ePq7qMkTXkFfLLo0ED1VbUkhrXrb6eB6Zgt76Jr/AZjI5xz+0OEjjnfkcp9SbgRf6ljzrnPnM+n13x6XPOHXbO3eucu8E598+lnz3OLRd6e36MjvUMU8mr7O6C2m62iaJkSdHLXOms4cSJAwCsXbcjdCyWhyUy3vvL+OS3PsntY7fnAVRlQVdheAR6N0O8BdIemC6t5FRHgvBPdI7xvTOieJIJwkxrlgPzj5FmxR2sFOiaMDj91X5213fjM0Fzb1Zr8Yyb7mxkdOrUKb584k7m09n8YdFaKLZOB9G+7yjmt6YmgeZ1PduIjRgK7as36MTLh/FebJcxyqkOb8NaHZnf98fv5a7pz1GjTsVUpWpBTQxKfyw9xcP6xvUe3jn4a2zr2ylGTUMza/Fw82F0R/Pvdv07Lqlfks83xPzCeaEVw2YVui4nW4kqtNIWtu28ZHrlnV1rv67Ai0deyenT0DgDX5v4Gn90+o+YNJNyin6zXSJgcLB54DIurV3Fx0/8CYuduSXGCgQF7ti5g2igsoSmS62vKZhmrFu1jtvWvoXh6qolyGulUU7QbGt5wSXy/6z0+/weN2dX986QGI+qwqrBTdzS+yoqVETEQUwaFcgATS6vbvskbRzsPbiX453jInnuUloCrFm7g9sG3kLU20ejAo2mrFloXtchiB7kIXxq4UkOLuxHRbBz7Yt538hvsbv3OiITy3OasUTAEIxypMUxi6py7KYTA+0qcOeRv+Izp/9W7jffq6kSVaTBYynNIVfTlahN65k8Z2DNqgv4xVW/zeeP3cGDk/dIjNkjtTByR2OZi/exEx/jjpN30Gl2OL0wRtu1ubD3SrQyxDrBnk9g5Sc8nHO3O+d+2/+clyGC84sZ/ZsZ1omXpCMP3/0NppSSXCHP0966+VaiqR6O+MC81rIx4L3s3Bit30E2V9BwOpZdJLOWjX0biapRvmFoLzGOY+Bm+V7dC7Ol/S9JEv9+S7oAjTbEvXDn+J0cmHp6ycMehqlDA+nPtDHZyMPNh4t8HI+MXOyrMGhDp4SMJiYn+P7kQ1w/fC1O9aPwMaZoSTfvfIRcpg4pFw5djYr2MBdVUNobI+U9X0uulgKKSgF+A019XE1HcNXal7FjIeX+4/di0k2gtzOQrOL31/w+pq9Q0wFMtk7zxxN/zlVr30zMpVJI1N/Cru0YiAeoR6J9dUhRzrJKsCcZYK3bCF5ckcQJbdsWWTjkKrflhtZAIvGAzfUd7AXaLXjRrhcxsjjC0KYhTsESkUtAPtZBT3WQS+tXYTKNjuLCGJW+MqfcupCR1hLUJvPoRi01diuNQCkZLy5JXGGMcprOFZRTaPxWHikI1VmFgYE17K6voQL8xjX/Gz/YA4eNoG5UQKAeAbU7+eTu2H8H17hrGGWDnEOpuIdSMLMejl4ozlnagtmOnGdWhc6cBzpZgYy8Vh6loJLU0coy1j5NpteAVjlSV2lB04VajVkVGJB4ZcMWKN4qJ/FUvDFSmofnH+aBxQfo6enJJ9xN07WNIKOQaGuSiN6on+3Vi2jFa+isgIycZtlK6jeN3EQlq3B67DQf3f8X7Bx9OxU3TOoyjC+2+lwcSqlvOuderJSagzwbA7wr6pzrf6ZjnFdg6d/KyJzwtMqruoKaTilpPBfomp39O9nUuyX3moKXGm6o48el1fXaDVJ5Ic31u0j9Lmu5adNN3DB4A0Cer0SXEiYZhnlVBDJDw7/MWazyDzkSM5roTPi5dhmjmni9aSfj+43vy+YSGbRHRkrJ+c4ZOEZEI81yYxSCs9qXA4KAAIp6duUx0ZrAAWPNYz6ZL0VrUUmFPJU0k81LldR0eczIb1ip9nx5AgO11ayJ1vHQqW9wunEINBxoPsWHznyIsbZwhAFx6L4aqbLoJJEWzpq8ssHUzBT3nbyPOTuXfyb1qCDM4zUX/govHfzp3AXb1LuJbck2spb1u/a5aToVRVgHx1py/p0MBgYGuO7l16EGVa4qy/OMTIGM5rIZ5rJZXjz4CmomLM5SaXaIjQU1XVDjBWT02FOP8ZEDH2a2PVEoxc5B05XjPQFd4qniPFmTgnKy5uwNMkM2dSpS1mkiHafT6GB90N5qKZUUQGVwljrtTr4lvfOCd3LLyC1ntY/I1zaG2SF/zQzMZRJny6pyP4VirniqL0/81XC6cYQ/n/xj/vbU/5BWIp5uDkjEqSKOWdNQ7Yd4VByupp+Prspzm3lVpc0sBsOTDakAElqf5OthxYApJYa17XPylJE8q+/M38vu+jVs79uVOybLIaNQPSMFHrYwYWHXwC4urFzIcN8wb9z8Zoaqa7lz+h98rcnnbsDIOfdi/3efc66/9NN3PoYI/hczRrnR8EHcshP4gY0f4KWrXoqzjiNjR5h2c7gMMi8LxucagSjp+vtH6O8fJE2kB1Co36WVIbUZbtGRGSnqNwtLcivCMBVo1iD1dFxSSUDDBb0X4pS/yfGdVD3l0R3XiCJo1aHdzDjeOS7ceOwlzX6TMRWYqEDaNHSswzYtfBbsMVuUAyoZIxedXb0aoO1jUYvpAscbBziVnaLt2vnmmcZiQHVGjj5ymg5yY5THL2I43TjKY41HpZ8RGqchSmpkLstbr4dNPh7o53Uv/48Mbd6e03Tay6zH58a558Q9zDkxRreN/IysRem8jl5fo7Wl2AmvXXMtr+t/HSrVxCphueZ6YZSR0ZcmP4tFKC3vdBfz9IgU5FwDMjrdPMLdM//EfDonicPLIJvC6y9+n2rJNbHW0m63WUwXliKjsg/aNSzeMajkt49Uyy4hI4cYg3MhI5MKojo1d5CPT/4pZybOcPv+T/PE3D4yLUY5LJ3SXcZISVWQvqQvV1p203QYcais9fFNK8VbXUU27I5FcvyqBTIKlctPzR3MEY3RSmg6H7/qjhnFBvpfCnqHrEHDr7+ugDY+odeR99Z684Y3s7u2G+MtnEOeZZPKM5KLfbxVVwaatsEDC/cytnBaPmPEIJ6FjAx5wvI8knP40FE41pxkojlBPalz2cBO6lEvu4akaWf8PCh846t2P+Nry40Vnz6l1D6l1N5lfvYppZ6XAobUlTyzUvAYJFhuMkNnscNf7vtLfjC/N4fw4cHPjdHxp9iwYQdKeRm0jwa7yHtYzvLhez7M7TN3cXASJo9AtcNZxihs4EFVk8QJv/m63+SGF71OkIdHMCbUPPOUTXmETqSuHbO7ZzeAlPfxsQAQz89acDaSVhjTKe4ex/Tt0+SZ6zll6WMMy2xylbji523IdEaP6uW6Vbfm59JJZGM6y/AqcuSIN0ahodsT03u4Z+YunHMYJR7o0PBGfuu232L1xSLBDpsqGlQlko3AbzShxFC71QYniboAq5PRJe2tg0PRLhea9Hz+5aNX8Gub/oC+eICVhtagvTG6YfjlWC2b0BjwzUXJWQkILnjBKiAjYN3AhVxav5q/OfWnNGkWyKb0HbkxKm+kpZhRKAeEz1M6n5iRCgo65VV9oYyN8oanFDOy5uw4RmpBewOrfczMti2nZk+xkM1Jy4+s5G8EY9QpkNHXT36dA61j4uBkYnCWrG3I1wGyHnmeIr9hd5SsswZ0oghimFDc97INN3F1/Qa0NpLYXIoV5VSoy5m9/Fo6A00t60PFP7dYmV8nE8dE+Zw2/+9JYHwB+lvAaGGMgvrbaegfWMWvr/3PfHbs0zw4eQ9Exe/C6EZGDUTCPluFTxz+HJ898zkWZhc4MH2Alm0xXNsgQpPnR2O9neX/KKUi4Jrz+eC5Ykav/VFm9FwcqXdjswpneaX3zd7HcHWYS+2lvOPCd+Cmh3nSB+ID5RIg94njT3H5FTcVaMBzxvJQSxJnp93BRoasCT0XQ7q9oIzC0BraEWQlGDI0OsRxwM2BD2UUje48pVYexkAzgda8YsAMCBoI+TWem9dVMcJrhy5hV/8IrakW//X+/wonkPL4JZpOeTFCexn658WXvJixcUVt/TXE1vD2wQ/wZE3qtoX8pMKLLY4XYkXBQ8wCMqqIcW27VKSr6LyY5uD6QaFRKIxRKI4a4k+CMLxKzQfM+xNhBA61DuPcuiU10JxZivj2TO3h7tN38/6J3wRXL3bUZYbWoGIx5gPJGhaVxNUssDAudGu2oQsZmULaHSVVBqMRaElZpBTOouly9Zsq7rlU+ZhRluWFUk1wSM4jZhT6DDmD9LqqgDZCqWbBcUiK9Um7nJCOFwMoDSouhD7vvezXeOQgPKW8MxUQqM8Fc6nLjdH+6cdYrGzkssmNko/TZYxULNfUWdA9YE/5WKe/F1qpxL2Sap0be2/l4eyrKN9gUBspuaOdyanbch6T8zFKKJ6/QEWnSlCOqoMy0voCS47S98ztYV9jH6vrq3EKnrbAGWhdJ5/XHTHgbVfEjJRROJwvuqryfLDuPKOgsgNvjFIwOyG915C2Whw7cYy/ffqTXL31VzAu44W9N7OuvvUcV/snO5RSvw/8AVBTSs2Gl5HH5KPnc4wVkZFX06348yPP/icwAk2nKuQS4zD2NvZyaO4QJjNs79su7Qe8MQrZ8FkMCwuzjJ05ysaNF+W5GW3Pn+tY4H4nS6XKdpQQtcFtATVy9nxyuN6lYArzChtnubeLipZesigSbr3VgW8tfMtTU0o8Pu9IxYn8u7J2hB3VS2jNtORL2vIluoSMQDaH7k1JjhNz+ctugarBxnB/436ONQ/nAXcbQTNbuiHLAf2+pOWBxRX0CEqRuTSnXpQp4iBPAD84IZu59sgq8w92aG6m/C7Y7ggy2ty7ma3JVh5tPCprUeqbEwxdGKt6VnFV7SqePnqQL43fTst2tUEtDa3Ji2Aeaj0tNKoqcmB8uEGSP7uRkYP5bJaHF74tXnKkC5qttO7dyCigd6MNWZaR5S0kCmn4uYxRBnmeldPksZ9Q+icNgaO4uMe7r3uaUcQTgzFqZXhGC5ssNagBGd08/DJ+e/1vc2PPjRKntTET0+T5duUR7gmTghnw90Ys69BSYjRVIjT2rto1XhAg98rJuYN8d/HbWGwhNArHDejRFfdfeF1F/pn1lLLWQq9jYcfoDq7pvYZjjWNy3krTUFK5pQa4ncU9YSPyxHdloEObr899XuaIzsVS3XL2MjJaBOI20CdGMbOWrJX5Z8Kwb+47PNF4JHe0novDOfdHzrk+4MNd8aIR59zvn88xnjFmpJS6Xin1kFJqXinVVkplJct3rs/9pVJqTCn1wxV+r3xb86c8/Xf1+Uz4Rxl5aRZvjMrP3a9v+nVeu+q1NGYaPDr+KDPZvDw4Vbl5BochGYDHHn8I5xyXXnpdLptuhyTtWCivNBMvPY1i4ia44eXnk8dnuqiR4CGXjVFuLLrVdEbQWTOF1G+1mWZJUdehIUkkXOif46nWE8xPSmLoZjaLN+r74+THrC7dtLvn5hycWjzIVxtfZt/Mg6CKB7OVLUWAqsyXa3KaxYUgsNaS+xSC0iXvPLXQmBDqKBijnK70yMj5g7fbYoy00bxx4I3ctupNkjhZKjsTVGRhbB7czKv6XkW2kDHWOoE7x9auFKhqhFWwZ+ZbYoxcYYyyzG8uZTrGFNdyLptiMZN1V3FBs3XTdA4KiikYI1MYIxxE/py7HarlrpXKBAmF2orOo6A0LsQmARmhCxQRRuqNGci8nYLWfIuP7/8rnpjbh03IFX5yzjI327H0636u77keMtA6oh2BXSjuy/I6OQRpRAMiu1ZVwEhcJ1QWt1hOZydzy6IjmG6e9udqcyq9rNAPHYGDkQ9DezQWUHyOjDLYtXEXLxl8SU6Jb0w2Mq+lKknrAs4S+7QDdWhkHo8s7vHXxzdBVAXFD4UxCvd5w0LUAt0vB7VWatM5T8s3WGSqM07TLl878cc1ltuzlVLDSqmvKKWe9H8PPcNhHlRK5Xy3UmpQKfUz5/P95yNg+FPgLUgsvgb8MtJo75nGx4BXneP3rwYu9D/vA/7HeRzzRxqp98iVjxkteZA9jTF+epx/eOofONk5lUtalYLB7aBuhf2PfgeASy95Yc6zL1ryvjm/cMFv8tKBV/kM8kQ23BXI0JUUTNYfL1BlkS8cV9c9eRZ6Pm0jG0xDQU/UwzW1a8QjdgVPrTWYXTDWOMRnZv6O8bFxsLAQLQjfX+pnhF+fXGTQNYIcuK1E/H3Z8HVLjJFNi4c1H94IBQQV6KmgYnK4ZZGRtdKDJu14tKVLCjDt6SwUiUlyZeCUneJjUx9jLD0jxyxtfMqQtzwHcNrRcR129u7knet+g0p87pLIfX3DWAV10y8eMRLPcH6u1i7dCFVAco68AgOQV5bIEWOYj/8jVA8INN+7L3g37xx5J2nwenRhjJYBsPkIwg/lW6AYhy8uKsgo84gzlAMKtFj581kJYSufj9de7HBk9jAL2RyustQYDQ6s4TXDb+Xo3BG+NPUlxu04LgOtIqnCzdnIKMRwoo6kKmRVoCbPTUuDS5HCqWmTO6Y+4a+/9khbDKQodUTUkhvGUlzNwVJjlIiRC+WitI/1YkV80ck6GGOo6iqvG3kdC0qcIrX67Hm3vGjCaUGPoUWKQuWOwFkxo9K8FtpiHFUEGEPmCmSENkxmp3HAfDZ1jqv9Yxkf4+w9+98DX3POXQh8zf//XOM/O+dCyyycc9PAfz6fLz8fY4Rz7inAOOcy59xfLTPh5T5zH+cuG/R64BNOxneAQaXUuvOZz7MdqfUbmEdGZRtwz9Q9fGviW9KkzYKKkyWqsDAeffQ7bN58CX19Q/kGPKPAtEEPAJGik3bkxrUxbuWYeH4zdyOjzMdEwsZgjKFX9/HL63+HuFI56xiqIryzCB2cfL7Em4exdtV2fmHovdSzOlio9FdEkeYf7DBCsdTlMsQzv/m60NTMfzashSv1fComWfL4/WZhyh4p5C3VVVQYDOuEBu20ydFCnhvmaSXr4A82/wE3D9wMDqpJlYlsgsOtw7LxlWK+Ol4aMzrWOMYfnv5Dnj5+UF54hqy7vqEReswAA8kIWaUwRhaZs/Xrnn+f8WVfLJioOPjjW5S0G/DGtYPIjC3QiOH4Kn+OHllprVEoMp96YM4TGQVjoyJxehTktHMW+YrVPmYUpORlY5RLsf0ahsZxncVOIaTwxig4INVanS3Vi2i2mxxpH+ET058QxKojXFrVbBYAACAASURBVL9UkO8WheVJ5QriGqRVsDWJdTWNTMTWIKpUeOXgz/L6kTezue9SSTz190954y/TcSGf0LHUSdJJMW+lpSzV9uqlYOH279zO/zz5P6Xrql/heQVRE+gyRniRhULWOVCZwbkyaumcwryCErKNFCWmJ7AImsxmeeNLpQ1r+7cDMNBT+vJ/hbHCnv164OP+3x8HngnlLGdTziuf9XzetKiUSoCHlVIfQkoEnZcRe4axATha+v8x/9rJ7jcqpd6HoKe8NfezGakTD0ZVQQmrQwvYk8H+hQMMuBrDjeHCGHl5aXB2nXM8uv873HC9aDvCBrygIFmEdBV8d/JeeqbnyGpgTEI6vHKe2koKphB/6DipvdSM++iLfDUCc/YxTFXOYzabZc/iHl7pbjvLEAEkvXVGkzrzDel39IZdb+DwlmFmjrN0E9VFGwnTZYzT3FCKzPtU8wjb1caCr085q8x9iLeX64VJ3kj5l6C8gCEsh3X4KgssCUqD/7f28lgN1ucKDVYHWRWtYiKdZK1HAvlnoqWbdyWRi/vwkT0cG/smN255G2frjovhKo5FFhlBSQ4MovyyWq6h9WuTf58SYxpb8tYCqYZvXwRjDtZ5Y3IIOD0Olw/BiUF4YDv8XFYgo4emH2JxZhHrOxG7EDfscqi6R3BqcprOCa2s254eTouYUi6YKH0+VGDPhTAe3bW8MdJodFW+w/kNuZU2ebp5iOv6bmR04OXc5e7i262H0DpiKAK3FRhdOs/cGEVQr4NdDXrQH09DYoE6RJHhououhmuw34sw8n5GARkFwUB+8DI6Lb3sa0SG1y4avZoN/YCF3Zt20+prccacoe3afHri06xzbyRuLaXcQw6fc+SVN4ynMoVJ1LL2/l4NYyaBRkXuhQbi9Flfezio+qyH3EobkkqNiq6ie35kNV2klCr3ovuoc+6ZxAWjzrmwJ5/irKt31viuUuq/U7Bn7we+dz6TOx+j8g7/vl9Hii1vAt54Pgf/cQ3n3Eedcy9wzr0gis7LyC47UgcmUG9+I2gAc5PQaAgv32lI5rhL4rOQ0YkTTzMzM86ll10PkG/AriWJhLoGp1pHOdE8inTRjtGrVp5P+HwIgIaReeVYBzgDbEteytXmer4w/vfY6GxiJpQEKifmLXdlF9M5ftD4HhNTE5BBUk1QPWZpXMfPK00gWybzNcvkIWz7ImaT7TM5MiLyhrTbXyiLDvz/p3pgfkBiPA5476bfYUf/5UsMRjBGnaw4BpCX5A9tve+evpuHph8CJ6WdUiQZN4hK8mGWGqPg2IzNjHGseegZs9vn0nHadDi88AS2Ih5xJ/P8vw+Ud+eTpAYoIaOg7pp0Bc3WBprj0PFFPFsRjKfkZXtOtE5wqHWIwdow26oX51Rt6DS60sh8/k8QJwQBSXCCWv73oXZfFMNksjQZ01mwoRFeLPCqUzJGqi7nFO63hcY0d03+PSeax9FKs6t3l1wXHaMjqNwIqostyAsRe9TW/0JQF3mD4eSHuiSDP9bcx9env8JsexJMcf9cM3CT1Jz0aCWsP5TWqAv9O0Phe4RtJYNL1l7ClT1XCmPgYCRew0JLEsy7KfcghFgi2slpOjFGNnwXMBPB3WvhqX65XxYRatsOBKpU6MI8IT0yTGdjNF2TduVHrsKWhn3U/5yXyi0M5/JuUecav4Hc0p/yPy3EID3jOJ+d/Wecc3+CMAn/BUAp9Zv86C0kjiOGLYyN/rV/tZFaz+1WQBVFhXEWWtqQZpnQdBmQJKh06c336H6JF11WMkZEYEsihVdteQdR8yD/mH2cCskSjrl75EHjrtetE2801dC0Mu9F12Qmm+bxrYrtLHX+TFU8yNFkLUPJoKCXZTbW+XSS++c+z/XjF4MVdVKZ78+PZ0Ry3mmexVJK3omGTFl54FRB0zlPqZwFLvwmcGi19MeLFPzwQpjsgS0eGVVVnbZWeTA7XweFT8H3G7339pX3OJ2F453jrI/W8+atbyaKI6azaY7PT3MLbzgraB02pg5gPDJqNkVFZ3XXQnSNap9UWF1V2YDx3m2tLQakTNOFo+TVma1HFX6TssrHGbxDlCHX2jp/LAPTCkY8Mnr9xteDhdZ66Fu1k7GQOxV6/9izKVkQo1I2Pt15Nh0LSelzQ1tg8kl47BTsXO/XytN4AEm1xk29r2StWVUgI2+MQvm2vr4Rfm71r/DkwoOMdQ7Sq3p9ID5aEXTmyKi6dKczMUIFW3G4UJa7Z26nFsEVrfXUo2Hp4Ktge88u5j0qsrp02bWn6boFDJ7VCOPBI19m/OTDfMj+LtNz0+iOxtTlml0zdCP3NyFbJnSvY7/+/vjhXCTJSxUybk/nfW0NHGtD4hWrDQRVmyH5rDZGaDovYHBoxpqHqQNZzf0kqhScVkqtc86d9GGUsXO92Tm3wDPHlZYd53Nu71rmtXc/my/rGp8D3ulVddcDMyU4+K8ysuDBVAoKJJRMSSNDMxgjCy5OlsB6ay2f//xHGBhYxdYtou3MKzMA2eriRqyrHnb2XUM96l9RSVf+fLcxynwwtJNAI4PH537Ao61HeO3mX+Fb2+FglzscxVKFQTvpV5R1URJhGF9ReHG2URijFeZlY8nvWHYNFVTq0nSvv7aGIGDAeLTSLd31COA7O2CvRzidRBqdbBvdzWsHfp5vT97DVHtMPEklD3jmjZENBjN4nN4ghaTRX9r0S7xm4DUMmkHiSpxTMzN1lrhbYfN3Fh6x8PiMJCE1W2KMuuv+dY9qTw2lNEOVUaJY0KNte7RTogzz7wvxAis1y8LiWi2xkLAumZVztqn/20iMIkeJnmayHX/e/tpGFVnHlcoWp65APc4U90QwTpTygwB6+kBfAQdSaM0XFdgD0o0qFXb33sCIWuXzwgyqIpt6OHZciVmdrGOqM8np1mm+Nvu1PGa0EvLM6/B13zdeiaZTwOcCAezuuZZNPRfl5bcAptMJmUNJLJALGLTQaGXHMihZA427dngLV9avAwuffujTfGbyMzkyWtQW2xH6sHtoj97KwhOjJQVgqLJGnKZI5nW4RyjZhZoYzAzx8KM2MCKf3Tp8OTf33JojI6UNW9ddIbHdvmfPCv0I43MUNuBdwGeXe5NS6o/9359XSn2u++d8vmjFsztHP6N+zqOfkVLqk8AtwCql1DFEUREDOOc+gvS4+GngKQSt/uL5TPhHGZ2QA+PVdGEjcACxYbGZ0V4UY2SjOO9+CvCluz/Gvn3f5Hd/5y+ZrUb0lLLEnQa9Wh6ch8a/ymjT8lObX8fRiiCMlcZyiZhQeNhpDIstyHBYHJl2dLRiLINtpQc7VGE41jyObiOxkmUefJ1I0qZrOvp0H6ZizopzgBRzTauw6CcW3uLwNJ2B4Q0Xcd3lv8j8hZtlwwj8uQKbLP36IDZoa+m95LTPzzLQWx9kIGrxuZl/pD60DqXW5F0wxTMsef5hk3HFMcNaHW0c5eD4QW5cdyMAczX4wRboMTBQmoeN5NgtYGHcYHREKxQBNOdGRlZbLJa2bRP5Tdg1Ia2VclkMHKlBPSt5yW1Eiabg2sFbudfIuQd1YObpyBArtBpmo8IYfWfiAU5OnqC+d4j7Tj7Mq6/4LdoejYaW8nqZUGpmJV6Ux/NK1Sis8Uasy/4ma2BxGBqTkPXK+kZ+w3baMZlOEM03cA7mezWLfbAqKo7T6jTZt/hDzqRjbE3W05f0UaGfgdqafLe5Yz1smoJrvFI5z7erF/dNS8s6OANmEclJ9vkNNdNDpGOp5GGkRNCXx2/ntebfy/pFpeN6h0V1PRNaQycSp0sDG1dfxKa+i0S5l1liFRNH4tjcPvFPbOn8AnoZY6R8D6tytfZK3MNl8VbW1i5gKvIKPw1H6iLG6b+AXNqtkPip65U5ru7bwuUVaK09Q7JmhEmtecHLboOBV9Lcps5iKn6cY4U9+/8E/kEp9R7gMNJKfLnx1/7v/+vZfv+5TO2P1M/IOfeWZ/i94zy5xB/XCP3ulX+QrS74cdNbY2rmJO2FNkZFWK3zeEO73eTP//x3ueLym7j+Ne/i0+tg42l4RROIpC8Pa+W9Z5onSFttsrbD1c69uS2HjHID6ZFRswXbhnczf3KRL57+GzLzTqEjSiNUYdg2cCkJQp+FgpFLvs8rfa6tXcfuC3aJF7mMMYoikdLOO5gBHm7DNRbqvgV18OhXb7yA+WrBzauQXNndGll7j997qU5JtYa2genmGWznJL+26T8wP2D47AAMXwC3puS1u2wGLi7RdBTGyVm4a+IuHjjzANThRnMjaBju20imYMIVxkhr8qZmmYJGFWISWiHrODr39XJRhlOwYBekSnkkG7qtlPr+aPj2sMSAXucpI2fJW6Z3VCqlhML8KVSeqUdITsN8VMz3TOsMB5oHeGntp9lSu5jjo/C59fDqCah6YxR35UMGCjogI2so8oWCE5VxlrItUHjWFtLjII/PyPibiT/lplNXYDM4Oao5ksBrI1is4rueNvjn6S8wgKg766ZOLe1DRVLGKQOOaxjrFDVi8uvilfUWuHMtJPNwg0FaWPSAbiicgvtn7uVlnSuoRcN5Evi1wy8TY5uxREYdULJi6TORpyJIM2Yy12ExbePaPXnV7utHr+dB8yBKxxiPXrqH8cZGtcmNkfaUf4jF2kjUi0cqUJ2ApEfON5RrynO92rBg5zjZWeDinrXEPav5toZqXaHeU5NmgP+K4xx79k+dx2eDSGEEuNM59y+e7Yq8RLmfEfAY0uG1Dzj2fO1n1Cllk+dKNic3f22kn/l0nsWxFjG+zLF/CPfu/QazsxP8wlt+j++v0oy14binq6LYq5X68bkhmhPpMf6fp/4LLbe40lSKYZYmGjr/h0YqPtiW3LhT2TTj7VNYA7NdG0gUSYmj3S/4ed741reQ14Hr/ipfziZdSPP3LIeMtAZVExQzDSxOwNHjBaWpIvKHHIqHX8fyYOrlaLrgpfp1zyLxTI/PHuDLc3eQug5pBCcTmKp7dRoUZVN0Mc/xAdg76g03cKJ9gq3xVj647YMYY3j/q9/PNa9+BwCNrgTcgLoyK8bEqApYUEqKbJ6qwAPD8OCw1C4L41Ad9o3GXH/rb3D1RT8j9f48ynIhL8t73y0H8x4ZoQErjsBoZSN7Zu4TYxQ2KuedDyVCFuvXdS4Yo0gWOHMZl4xexs1Dr2a+DuMdOGGRLr7LVLW1/o+8grinXsP1xdOH3fdJWKPUFTllwYjp2PCKgZ/lsuplDEarSHuqLChZx73b4O/7yJOyg1R/Ipvg8cZjtFxbSvD4c56pkFduqFbF0YkG5f9H63BMwQnnkRHkybqBqp1vT7OYwKr1l/Crox9k/fpr+fTlMLwa4lXFuQT0eWZA7qswtJbnK9B0j5y4n78Y+zC24XJjJNUbMpQxUhx1GVgSjLcqJXu/Yv1beayxjydn91KpSHxoYjVMZ9BTF+cxGKOwJykN8zE8PPcAH5/+/xifHOdQ49BZ1RueB+N1wBNKqb9WSr3W16Y7r/GMMSOl1JuBB4E3IxDtAaXUzz7rqf6EhnO+um7JO7S6KBZZ6e/DWctOvYs3rH7zEq78oYfuJo4T1r/wFh6vwIyBjr9BRrdCfA1FCRjPYb+w72biqBsiLB1KeUVUKXBjCQ+ybB6uBU8tPsKe5oM0XQNnYKHr5qxWoWcjHFLw0DRLNpDy0LG8eO/41/nimS8WyKjrLlBKkg8XEflkauFU2JwCZaZKgeFgjBLvJS5T7iVQFVlApEaM0Za1u7lt8O388+RdPFU9Q8OKAs3562J9Z9w8OOxgYgC+U5Hvt0qSgq2Tsv/KKFavX41aXZFqAV3rkCMjZNPNjRGa6X740ih8NYY7K0INhHGsDg8bUGtGiEyE8Q3awn2S+rVxSgLVaYjV5MZIcdXgTVw98lOiZNOyLk4Vxij87TQsRIVhMBgyl5G1LRZH6r3xRiQbameZfLAQGws9rTDgSg0Pg/jDda1P/rvgDADzvVIJQWnFhT27uDi5hLdv+nV6124XmjASuvCEgulSIzqjDamS6hopmZTL8cZhvibx0IM9MFeHwZcBl8j37e2XjbtdKRBdudac+E+aB9fCI32a053jnEpPcSyCxbWgbz57PZ7YBF8pGaNaDfqHIfKMRkgx6MxLDUCjDIfmDzGTzdC0LaHhlqFCQ+xJU8SMkqTOdX23MJKMEiew6iVw9GpRL/aNeP/EMyJlB/kHw5BsvoLb+n6OBx5/gM+c/pRQ0s+L+qgynHO/iLTk/EekWMIBpdRfnM9nn9EYAf8RuNY59y7n3DuBFwIffLaT/UkNa5dmk4P30K1sKNWBfiq6Rs90DxdUti4xRt/93pfZtevFjI/0MNUBBgtUENdBXV4cU2vNSDTK9f0vJTLP7NKECsr5nECQUYhvdKAdtT3t4sj8RlUeSsHgJRDfAqeBbObsTQZ80qKC+fY8jbSRiy+WI6eiPtmAFjIJrE/VYX6m2ODyumolY5TnbqxA04UEROu90k4EJqlidMT+hR9wrGeepkcDaYgZ+TiU0sVD6xS0vDLOOkkKPtw+zF1jdxXydlW8r6Xh8V6PRIygriyTOV3YcyVVaqAU910uVZk3GFhYC9MlJ6Hh4zydCLQTdVcWF1UN0rAWkRijrGSMArU55+YYqq6VXkj+fCwFPZdRIMeGN75ZJAgjcxl3PfwF/urEfyfzwH0xkTm0ltF3B8eBSJDz6AVgLvaXwxv30IDxaA2+tLoQp4S6aQFdffUi+MSwrOOxzmHG5sfpOHEa2p6ubEdi6MdLtRONNlw8cDGDZpgoqUo1eCXXrJkIhXrPMHypdAOOV+BIJL/vJHLMQBMuqW6hNEd7YGzuDLdP/iXfOvUZSUCn/B5yJJVqSU7Pb0kNfS8AdsicxuuiyrNNK8hIaxayBQBSbI5eukdOgULuMD02/31ilTBUGc1zmc7UQDdgyBujNCooWmL596kKJANr2BpfzIs2vIg3rHurPJvPL2SEc64D3AX8PZJj9GMrB6Sdc2U538R5fu45NbKUJdnkARllVjaX0c0X8b41v8f82DxPNw6Bg6wK4+MnePrpfVx77StlI3VQqZ1dwysMbQzzdp45N597ouca5YoDUGwAJnDaCly1KDFiNSyuAHx7N0B8HSzGLOvFmYp88KU9P8Wbht8kMYsVrFFcgUYdZhegqmBxNRyfkbkFQ2cVzFdgzNMrxseMuqOsIWAeZMvW+NpoEUwsnubBhfsAGB/StEJsybvlzngEEmi6QGVF3stW5IVk98zuyc8lGPhmLBTbnf1wxvnvD4ZOwc7BG7ix58X0JiNMVKAvg40XSt5Yq7QJLGrZfDveCw4qMuPk36lHbdbTL5mPB7lgpAx8Y/pO9s89JOfvDVG4p5xH6dZ/puGNbWZEJZk5ycrXypAlHrEksjbtZYxRQNghmF/dQN5CPiS4osTYj1VlxxhvFfGkQNMpC3MJHI7ga73whelP8sUzX+Afj/0V0wsnCmTkjdFErHMDYLQhMV6xqZUYak/TpRE8VZVGenOlec9EQnFWB3yumyG/l4MgwQGNHsM00HDSDKxlm2TR0s7JuTFycj2aKzyPY1U4XTF0NKQNS5ZlaKXZObKTqq5SjwaXVadC4TQqCkr0ROsQTzT2SwFgv/6+iAg+m0DKSWm5F4mFep/SMNuZ4snOE/TbftZVNsmbn0fGSCn1aqXUx5DycW8C/oI8on7ucT5G5UtKqbuVUu9WSr0buBOxes+rkaYsQTt5XTgnfG/WI8HRe49+nfum/jmvYffd734ZgGtf8IoctUR6ZWOkjGbRLvDJUx9ZIlVtaPjsOpjsWnGdlJLyKDaRcJMbB6pm8o3NavGaV2qqNrAJem4CLltmbl7R1clSQq247hI2YUQRtOuQzkO1BqyC44olnXIz4MgIfG2rb4gW+ZDBMg+9DZSUp+k6HkWNLZ7gSOtpv1kYsprfmH30XHm6ErMUGVldUD7BGBmKCHXY1JteKNHMPMozBeqyVVhQGVfVr+HNG3+VTIEekesbKS8y8GNe+3YhsczDREgbAQfUCmSU+fprmUedgQ7TGtbVt3KmdUIa0nnqMlP4OoZeVeeRSbvqaykaaHiJcdrJUEoLjQks+Grsy9UaD8jILUPx5FWrEcciU+RF3MsldIIKrRnJ+Z7oBWskOO/QZJFisUfuh4bPNzpTV3m6gFGGpxefZiqbzKsVhJhRZuDpXukS2y7NsaNl7lVTGKMlsRpvjGb7NY0Mauu3MmhGGOndjNUw130v+/sNxBj5ikpLRkdB5mvcZY0sR0YoSEN/jBWosjxfSRVru3vNSznZPsqJhQP5PZuqAtlpvAH3dLSL4XQFmg5OTj7Kp2f/jn1P7+Pw4iH5wE9E0f2sxzuBO4CLnXPvds598Xw1Bs9ojJxzvwP8OXCF//moc+53f5TZ/iRGvgGVePMgp1UWbC/cPfNptrgtvHLNbUJfVWDvvm/Q3z/Ctm1XiCrHyYZbptbKQwp/Qqcac2hj8fpMLBr273ZfFo+MQlHSYPCUlt8ZB6puCgFAJMVDW8s8VOG8KptArz/7dybW/Ozq9/JY8zHumb2n+L5lziWKRLJsFyEbgdUXgusDOyeoIVQ/sBpm63DcSnXw/us5K7cqrLXTBTrK4oBw5KG3QKY1piavh1ieUfJeFzx5SjEnv3EFY6RL8YpQj6wZiVHJ0UowdFaM0Vdm7uQjZ/4sV/uFVKNIFcjIIXk/aSQ/NrRcMLKRqLhkjKLCEw8CjEC7xlEFYxKZf+Q35QhRgCmJIVjt/10BWwPbD8c7hraVnk1K6RwZLSRiTJbrPTUPy7ZrCCO0NrBJsVYpBWrKXIHcUiUVnrIewBiG1Wpevf5dVIbXkcZgroH5i2RtZ2rFltIX9XHB0AWScOspwbZfZxI4XfctIkrzCg5GVYnhTw1kteI+uqh3Nw6YGdQs+msiFbu15GeVjEZQswXKtpn4uHHXSDU4f+GzRZsLGI7MH6HjOsxk089ojKYH4Kue6sy09eWRdF5t3+dty2fw1y1ce49OFxW4SGMVfGX/V9iz8FBegPX5Mpxzb3HO3fFs1HTPaHOVUv/NOfd7wKeXee15M3JkVDJGubzSATHMqFmSbDV91SGsA1WFw4cfZdu2y6WqrwKseM6BXulO2tdGDEe7mvC9dVJWAor3z3j5aRjGb3DO118LNJ2O8J1jwdTlMgVk0fbJsLV/IXzXRrGqvoG58TnOMC/Z+24pFx9GFEGnKnNWI1Dpgcrrwc3Lw8u+YsPNIjisYYsCtWXpcSbjIk5kkb/TYIy090j9ublI2gKEEkBByJF6JBY4e4tHKX5zi4ysTzcyAokZtcP1Qh7sjiM3EBtW7eTYxBG+OPZJnH4LIeQR6wIZdbQvaOmpRZd4o+WlwcorImMr3rzDe/SqtJEYeHpxv8TEjKjgMifnEAdj5Io1crFsrBfeAsf2GlpPlYyRRzWNWJD1ck/9FEAL9MZlfkkhnlBRsVln+HiS/3eG/C7TUqmhbUBpw1xnjmYMp9cCsRjtthGjPNOrWQPc1PdTvGTkJuwLLTuvshydkvs5GJsokQ06KAjDCKrEWEOzX55BXWrUuKm+g4OzDzPTr+koaDTGmcmmyFpViYdGcEoL6rphwt8L/vhtb4zKzX5Brp0NyKhluXnzzdAY4kCn4eM6HXE6llnHYIwmBuEhBVsyODL5DfldqTVL2ek7CxlV4HQwlJHBKlicX2QoruZxyOfLUEq9EfhvwBrIi3g559wzNmM6H5v78mVee/W/aIbPgZGmPjZT8hSdlte0l8C+6oJ3U7FVDrYPgQWVOA4ffpQLLhDOKyCjSBc0TPeoJnVfIThmoV7QaeGBn1umYnEak2fRB5pOGZFKuxqoylKazsYwuwJNd66hFOxv/oBZO8d4knDwGMuq6UCMkav6Z6mU7Kd6vXQ7eJzIWhxbRvY6FcPt6+DxyAd5NbRqghayJKCk0pdrnbcTD8go0vLevOFcQIgG2rWiWjl4ZOQPF+JwLY+MgpfvjGyAzsqGt2b1di6vvgCUIlNFqlHZGDW80KUdy1yUlxkPDEPUU9rQEW/euiJmFCiiUBXbeSfIejQV2nY7/P8VJJm/xoizYgYr9Jg+0k6KVlruF3xF60QMZXk4YCqD6gK4FYyR9ipFlRSGukNJwEBAq3jFoqxdkyZPtZ7kG9FDzIzI9ze0UF2xg3a/9o6XRcpEaXR/JGq0kjHqNUKZhfsgjLaW5zHx1739QlDXFr8/1npaBCCxplqBjm2CgqZdlBhmJIbo6wYO+6TeLDgVETSWeW5SDc63VE8bGS8YfQEjA9s5c0JjHQwla5aNwYbrar2qMVOSDjHeOumdPJ3LvVNVOK4a8vQGl0GjB04bQYMu8UKK1BLH1byP1/NofAi4zTk3UGqwd15dAVc0RkqpX1VK7QMu9s3vws9BziPp9bk2Bvph/SXQ9vRV4MZTHzNSEXRq8NXZr/BE83F0BuONEywszC4xRtp7684sFR6EcfXWW1mbbELFCa1q8Z6wOXXLsoNiyvpckZymi2B0C0SXg6nIhypRj8Re4qWB2vMdSsH9s18WBZpKWJz2BnWZY2kt8m6lWTbZD8hrqTkNp5YxRvsGJB9mgoJ+WuiH5EZoDXmjE3lkhEdGnuPvOFkM4w1XQBgho94qaPZIvKQ3lppxITckrKNTYkACTZeapcgoMjBfbbIh3sbL1v6c5LT470l0ofxqeKclM9C+BPSt8p6hraB/hqJsjyOXe2emQGJOlWgxv17OHx/lY0bGx1MUJKlc4zl/r+zYcDXvHfnfSagIMvLGqBULMusutLsINBbA9K9M0+HFMZSRkWJJvcRQMy9TXh6uoeGk+kJrxwWyuUYi7rAOelPo9Cpeu+G9PNLYy9452SZy9qHLGNkYbH0p5Z0qoc0jI89YGfUpBfvn9/h7xUjFjzgga4n5LhhhH5oajngHIKBNqyVVoXt0PDLCPypoigAAIABJREFUI6PxuXFm0wXSyOAsbOq96KxSRWHkies+VthW5FZHoXKaLqdA8TSdIU8zWOwXRWSlAlkiyIgM4qR6VuWI58E47Zzb/2w+eC5k9HdIAtPn/N/h5xrn3NufzZf9JEelCvUdkHrlV1k1FFp071t8iLZtoyOp2H14/FEAtnhjFKTMxlMXyxkjNHRcB21ikb2WkJFFZNll8YHWHhl56i7kdhBBZRDUFaC9Mbpu/etFlZbA3LMwRlrDbRveg1NgdCIxEcfy/AMwshHijZzdmdNvoiHO4hRM94hAAEQRdbwGj9fFu8904WFnBtp95LlDaUkKbCMtVKWWdXNOjMLohaAvK32v38wbvYIOXrL6FnbWdmJUQdNlkLcGbwYEVzJ0oZfNU/M/5C+n/l8W7XyOAMCLVKICgWROaKZWzLJVp3PVVlwgoiBgAPLqFLmowQiiKef7hIoH1Y4kUs8FesbPw3YsCi2Sf4RGTWNPbZWo3ykgbUBnmbhhPmc/HxWXEC6FMbJK4qmpkXWLvSHPvBKws3ENFV/toOENbxVQNUVvZZRe07fEMQidhztKXuhTYkirFf9d/pnoaHlvxX9ftzG6bcMv8YY1v0Rc6/eKU/kSpyVpuRnBeCRG7URoJEjBKiwsc6+nGioDa7hy4CZqtsZHvvcRvjt1Py6Sclmpy1ZUxipvkDveuEtlDe1/p3MBQ6gCAR4Z+bW0VoRCmZUEeudbUJBBHNcI8vzn0fiuUupTSqm3KKXeGH7O54Mrnqbv1jeDJC79mxs5MrL4Eh4wr6WAaKosysKhE2KMAjJK/YMUeZpoOWP05MT3Ge+cIolX06p4usnHFII327aiFgrzSA1kZWQES65MUq+yPrmAKKpgvJpt9lncoFIxoiIKNJNI4m4QSywz6oPAK1Y6GHnSKRravXDYwXYN/7geZjrQbkB72HumfnOxygfq8eviPVKHeKcmGCNfR9BqqAQ0e4acpnNKhBzNHsjOSBBbl0pmB3FFW0sX3GCMggOCExpUVys44DPHP4rTHyCkhkWIYWlbT9P5Tae9zFqVk0hzAYOPRwZqThu48po3cQrHrCWv4hyQkYsK2i72NG3DACmMzR/mMzPfpDk0jdK9tL3Bc7EYylYVsiYoX4jztAXTALV15XtBG6GXgjGyjjzPqe3jWdZJDMwqqHrn4dLX/CY3HjXcraHq7+1Fr+6MvJPwZOMHvLjvp7hiYJNcC1hC02kL6xX01uFUr6CY8CgFmi4OyKhkPJSCNbXNVPx6GQVOF51enYLFGkx5p2AstIpRBSpdXMYYdRRUhka5ZmiUGvCGbW/gzMlhDqg5MuCH0w/wouq25dcx3FNGjt8pISPtHywb1sB/t8IjI3/PtHvkGtQN2FgEDFhBRnoFGv05PPoRcF7eORwlzcFK4/llc3+MI2wgHS+7VQp0tSoUBJJxffj4o/T3DzM0tAbwvK8r8maWM0aprzTnophWVTxUKKm7EljMCmOU18jyLmBARuW8hv6BEQaiYQ7PPUKcXoCOhBs/ZzObFc75B3PfxgLaxHRU4an/S4BWjlD8edWbkNXhhIZNGuZTsCmsrcLCoPcAg7etfWFYJeeY+d48t617D18YHMx773T8OuguiiJ4uA5p4dCpwp7xfexv7Ge0ZzR/cEP7iY4ukFFaPraTY5uaGKOFbD5XSoIwI2kkzkTTeJrFB52XNEViqTEKqMX69QnGCAMDV17OaSXGxnk1oNNyos4UcRrl5Ji+lx6pTlmwC+yo76DRGGR/qfJDy/jk0DbM9sCBGYjGoLcGzfUrX9dy8dSw1ikSb9m7Gi41Isjo+Hynqqe83Oqh3BjGiVzHRW+Aw3P04OTdDPECrlLeGFlyVVhHi2GKDWxYJSiu4Z8lo8T4hJgRemmuF8C3p77M1PRxOrydSMVY3wNj3apdHNLQqUCjAVEvTDa8sxQcGCOUa/dINbR1xoJt0m5W2Tm0kx9MgqFFBgxUVq9Id4YqKm1/TzYj8iosyq9+uBdCH8kyMsKKLD4DahpsxeTIKIqqlIU7z4fhKzA8q/E8Os0f7wgbSOhcqhSoHgl8NJw0Ozp8bD8XXHAZyrs0IcBrIK/e0D0u3XQtia6g4oR2UuQ1BJouNWdniZdbjwcBwxI3wUBF1TBRFePkQe6uwnC+57xvNhijRIyC37T/5QfzHicQWUEZi6Ywuv0JbN0h3H9Q03UjI6UhjYP3aHMjnFNpLDXKZXoQDY1E5OetjmVzspn3rHlPgYzC9Q3ISBXGKEX+byLQlcR71vIwBOMXkFHHG6OgcCzLqANiysv+OPLqCKEsEJ6eUUb+nWmIUwjtqnNkVFIdYuQeC7GUdWu285bh9/Hyta/misEbyHx+k41lDmkF0qa4o+ki6Kuh9TbOagS35PL5OavEI36/rg0j6GFey/3dkWpJVLyyMzNSicEpiKRwBQ1PPWsfV3rlpl/ikcW9PDonzEKo7KA8UtUZOQJVLKXpmsrnx/r3t/TSOe+duZ8T7cNkLpOq+b6fUb2+SoxlJPGXwQiavSJxz8L1ieQe7R4dBTMTB/nk0Q9z4sxxnp4+yHRnGmOqWAWrqhvOaYxGt0LjIh8zMt4YORFvhHsx5MxBIe3ODOgOdOry2VpELmBwGZi4ChrGE/jeMr2UnotDKbVRKfUZpdSY/7ldKbWCjGbp+F/eGJWLRQ6t30Fvpf//b+/dgy27r7vOz/rtvc85993vl7r1bL0s2bJlxyaJbRzsCbHBcQiv8JiBCpkwBakZChgqTKqoFFPzR4aCmZqCAsIQcBhCAiYpDAVYCRAcktiJkji2LFl2y7KkltRP9es+zzl7/+aPtdbev7PvObdvd+t2X+nepbrqe8/Zj9/+7d9vrfVdTx6769uRMvLSy1+tTXRgoa80mo37g1KKAd47+2EO7HuQYdHYvN1MF4tRYVSjrJbPKGXCa+US3+p/nbneIQToBkNGN/HMlVSaT5N16nbMN7oKRvwKYiVxTMi0G5kF0efzpNcqNHMRMujuO85HFv4gz157mmHVr4uq1lWwW8/p4e3kJoy6cHL2CX7wwA/SyTqNz6iiTq5dw4SgvbyBPXcoIJvu1gER0GivrnCsRmXQ+UCPT810P38UfsW6k46Y6exaQ5unKHDqYGOqLMw02re/o/mjfDlJ0Hlz4Bstr6tcKYkxMsg0HJxcq22UhRZLXQKtLr2JfPf5edizAHHBkFH6/mxsZaXzF0r1Z2RB596FUdbRsa5YAEduz5PlXZaqRQbWHEW7Hut9+6LIyKLxa2e+C6M1E0YZ44XRnu4h7p16FOl2KUSfHeBa/w2yaEK9goO5ovUreRO8UJs+WzQM0Fk4yAf2f4IZmePTz36ab1x9hhiEMsAwDrS53wTqLsDwXjPDB1iYUUvKVK6BNa6gpcKosgCGrILVKfWTdXKYOnwX9808psioN4WgfZCeKuD8mBqE25D+CRpncMx+/q19dl3ascIIsIB/6rDhbGaaH/zYX2bhoWOcW3qJq9feGBFGnkUdoA4Lb9Ops1/i+dUvs7BHk/1cGPmCrDpwJZl1L7Q4TISRR9M5ZUXG/uKwOjQF5nO40mFiFYaJjxsgy7U8S1HMaHSZS9gbJDGkV5lZRYzZu6BxYZoJXNsD3eMwmGns6hENn47dgkDgzOrLQNR20NKYPdptvD2AgQCr01B2VZv+tcVf49evfaFGE+60dr+dh1QTlCHGqP6SfLrbIEPX7lEZGDNFVcsBwlAR6dDNgGhF85eSEjpUTQCDtxePAS7Pw+eOaS5JFPWtOEqIouel7dZjZsLI7vXGtVf5mTf+IX/rmf+d/3juZxlk0Ct1rMtdXVPLA1iqoLMCcUL0Y0pFAd2PgczbOKUJLS9z82NG9R+F0lCkIaOBvZvMAgRW7Z11zEz35Uuf13dvk5k2HexLY+qGxGSVCKMsmDASM4uOrDshSqTKhUIaRP3qpa/SMbTYHcK+HtCDy50mcEXy0SruTn2BMLfAowvvZ7qc0bVBoJoqDOEORwIYIvDcXBJgQrOm+jnsnVNtoJeppcVrKJI8sweDBGC1p3PcLSCbn+Pb9/1BfujgD9GbXtDIRlGF4coN7vc7RAdjjP8kxji0n3/KSHLIZNqxwkhs43lUVa3tR/38qZd+GhHhg9/5qfocD8/0xTQu8311uMTFwVlWWdXIMWeOzqSL0UVclyUyTlTnGbUCGFaqJV6+9qy2ds5gaRau3mAjDxE4MHOcI53j7J05dkvCyBMjY4KMBqFBRnWLa2NuPKEmLMQ2LtAVWBpcY6Va5uNH/wxZt4t3i60fbYLPCFHHfdWFZxaf46mrT/Gbq1/lV5c1GMTrvVWZCSNznvvmjugch+lOfV1h1GcUM81jWg7asyrPGmQ0NGE8CKMouy2MEGXoq5G6D1Vu72JgpjvvQupmT1wYOcKKA84NX+fRuXdycvadDDNFV1mAazMwnIULFSz2Fb1NDOeeQEOo85xKW4/9vBFGUmneWXBkZO8on9Zx1sjIhOypq7+jwso0kjJhxKvCSA9DgSYhGo0wDMEsELIeGV3sn+XFla8xDJFCgGlFw8cOP0FhSLoTYa6nzH3ZkJErAeN8Rn3ROb44OMvy8rLVawx0D+zjY9/9Y9x95D0j9RaXcvive+BfJ2jJ/aB9Acn0xbr/2FF3ioywAAaJWvopGDIalCucGbzCXtmnttHQ1GBcfmtw64si8qdFJLOfP41md1yX3hqPtwXUNtN5dF1VwWBY8h9e+Me898mPceTIvfU5AzMhBNBFMua6q+UyEXj54pfUvu4MJUA+VL9D2o8oJAwTGgf2SLvsXJtu9as1yDSDvJyC129CU8rynGE11Oifwm9449fxEOzKzSqJmSd11lpAWM1oI40w6gRYHF7j16/9Epf651VTdEGTNYy5vmeKjET9GbEHS5b2+d2H/xBL52HtAnWOD6Z119FLkvQeyiGb6yZtCdYjozW03lkR1I8xcOXCrjHMmrWk7eupIwVd+PUtwXXZKpBn9pxuphOAonG2S8tnFKwx36MzT/DA3OPangI11y4VUOyDszkM+yBzN/4u3XflvZTKrAnU6HfVhJTn1H14BoZumFEGv5bpMxcmjBxppsLIlRM3wzk5MqpiU0TVysKRhyaII33/EagKUeG3d4H/8cSPc889H6SDjjHr6DWKYFFutlZ7LbOf0xqwuHiOf/Pq3+eli9+qE1bLHpAXhExGhNH5rgbpPD+r0YtgYfqG6DvdaWKM9EuNXqoV0XHIyIR5sDleWTrHU+d/hqeuPlUninuU5biw9G1IP4i2GjqDNmf9I2yyi/eOFkbeKTQaQ3EN7Ysv/ifOLb/Mxz/x50bOGZIII1mf+Q7Q6agpbW7fCd3U9rknzPby9cgoFWzjhFEMkUvlRV6+8gwEE0Y9zdqeRL+1F/7d/sYP4fd6efF5zg/OsMQyVQco4dQxrZZwI+TdXt3HFSQx0yXabwiNb8mpFkZA59BRPrLwSZ69+htUMWqjQowJRdZVS/ZAiBA1cm04A2Vm2fOU+m9JHdpNUNQZC0Mimb1HM9NlMzrRMRkvGDIKsBQ0sTbLVBh5gVwPh66RUabvzZGRJ45KZm0WgkZSRtGxFC4URc+TTmOm0z5LiTCy8Perq5dZLVc0PFrUbLgWoLtP69RVSzC8CUd3jYwM2ZZB82Zi1OKimQmIzBioJ6YypeP0aLEiEcyaj5eY6ew9rkkTvAAqdLx9fF341hUCGRNKL82c5QHWpuH5x+D1I7plnsjhsNVG7ISmIC0o8mhH54FZL6zKyXBtUAsjrLNxKKkLLIMKo76FZH/e0JGblQcZHNh7nO+a/yTdQgsPVWYtqFut0ChHkukacx/Z9MEjLHQP8dzKc3WgjtdgHBd8sd3ImrJ+b4zxYIzxUIzx+2KML2/m3B0tjNxeX5d5H67w137jh/nffv4Psad7kA9+Z9OGI9JETrlmM65yd6ejq7Mzs3edmU5KjZhJI+HarcfTnAynLJc6t4YcpoHQ1Uq/k+hMV2tlfa31ebczZT6pXAt9VvD0ffDUjaIsNykB2GZyZqYmGhu7NBF0ETNvmnkiFxh2hGvlFV5dfRHJRJGJrPc9QYJAJAmPLmDY04zRX7/yeWUosRGAXilDTKv3cYsVqMy6MoKM3JSSA2TakXQYVWt1AQLN+NK+RYHETJeZMAmaWzYUrSAe7eKu9btgJRFG0Qqx1sLIStU8debf8YWLn6MMTcRZKVpVvb8A5RJIq0htStfy9WvGzXN13hjKvPsFMFQB6iWSMmOgdYpDYTl36PvMTNP3tZoFHXcVm/lwhS5ZOrX/1Ste+DsvQoNE6/fvwggVjjHA6bs1xD8EONaDYxa71QlN0q4jSTc/prQmaIi4wKA/rIVRXqj1IGSjvsuzHShW4Z798PU9ipL6tl76AvGB/Rw++V7yrk52bX719+nrI9dzlqVJts5munzi2A/xFw7/SI2UBybMxgVfbDcSkU+LyJ7k770i8lObOXdHCyNcGJlG96//84/xL775j/joo3+Sv/M9v0yn0+zcOnEtJMJozHWHcaD9aFihCk3raq9rN21OVN8QIQC5akd+n7YwSplwNMY/k2sjskm0mClD+ZVWVcgT+x5hNpsn73Q0yq1S5nJl/GUmkySRf0JdydwZWu17ERUCLqQ8gEAseXi1WuLpxc9TSVUnH9dh2OOQkSGnIqofaC2guRkVvNo/red6kVVjgpWZiUqBuqFgpQmdLy7AEwsf5IF97xspGJuj51yaUhNq1rOqDKbFe/+iFBkRlcHUCb1mtlozJ/qamelCDh0xU5itJ+mO+owyaaLpQqGT4L4MNw26oO92YW3BAkkOTH5lX16Afzk7Wrk6NZ/W78+EUSxVGLnp0ks1+bjyzBJdbT6zTN97Xakky+rCvx7FWMYGfdpy0OCSxEzna78Q6o7KkJjp7F/3UQ3zZm+k5Ga60t5NJ+g7T5sRekHYykKqB0NHRhlFocEhqam4FDhTaMLv3mkNyrlYmkC3d15NwRsHYTjfnDPiR6VBRqVFe+Z2j2G1wjeXn2FQDesw/4E987jgi21I74oxXvY/YoyXgPds5sSdLYzMTFdl8Mwzn+epL/zf/KmTf4G/8vv/EfftG20IVC8ozIQj64XRGx04u/QaAFeXz9QQ28/HkvmGRcMQQoDOAbjoY0GFVmyhp2iMwLXKPR241B0fURfR2nUhg2/tgdPJd1mRM2RI4WYulHm023Nfd/6c6UDNPIdCXYPPkZHQCG4XRgPTVAuBfrVWM8MIdYO+oZm90pbLHnSCaECBt++OxqwroppKKj0uqxoh3gmNWSRGvfaZBXiuB/cceB8PH/jOEY3dzSaXuqr1Tk9Z0dbQoAlHRkjj+/GK2s58JVNhVAXq8HYpmsi81EznrzIWFlpuSCFYHyrti6QZ+i6MhmL+nD16z40i6QYB3hC4lCxcX9ceMu+h3QMPYCgaxaKuG+hIKbeISDNlhawRLvp91uTNZYlPKFW07PihrP++CA1aSk+or28+N6+Q3mZmuZhykKy3QauNRGn3jB1r/TLUNumEQN6xoJtkvG90tOxVb8o+zrW9SEnzjCRrAqjLPKXCCBv32rQhd7tH2b/Gr174LL949Zf0cYMGfcBbAxkBQURqY7GI7GOTxRXeGrJ2q8gWR+zAv/rM32LP3DH+6hM/wcWqsVu/1oNLHbh/sWEyvpja0XT/+SAszkzRA+LUlDrAAxAbp28e1JTjZYIApvbC1TlYugTVfkNGycILAR573/cxe/IwL9k9ZwOcnYHLZ2Ffy98zCKpt7R+oLf3LrzatLBZOnqR3Oq87lXp49pohiHZLjI3mrg6JToWRMWmfv4AyA+d/bqbzskplN9Sml4gxImkijVJtt/brCXXk1GoGFJkyPBNG3oohc38gxvwlYQiWE9SP8NSlzzDsdxH++/peHvF2ravvY7qnodyeCOtMzDu2OsPzxnch2P1cGHUaYZS5yS9hlJI3vo2YNYw/AmLFZJ2jRTHfZWic/wfuh84FkHZ/hIT8/bwBHLbPasRqDNXNm0MzHZeheZeZzf9QdMwhWKCHKVqpmQ6gl/eUSSfCqG169b00tDFU0qCEPFiYeVQkKQKHZu7mzOrLmq9ljN+FUbtSQWbvw8PxuyacViK4HWkg+v7Kni6UfjmoQ7trYZTsr/Nd7SW2f74JclkygYwpUV6D0JG2o09HhIIpc5nVpYtJebApHcezK89xyNa/+1jXzHS6zelvA78uIv/K/v6jwP+xmRN3jDC6BDzTSxZEAvdjDi+//CwP3vNBesVs7ds414XPHYIzy/BDZcOsfQOl9mywkv8f+hgPvnCIl+5/UDdgBgybLpoZ5gROtL2pKbiwF86/osIojDHTzb333ZSJP8Aj6s5GaLsJVjIVdtNBfUvXcupFvPfJh5m+9DDVfGPHj2ZCKm9AGHmekZe6yaWJxook2jQNMqrQe/al0VSjlXPx69QoUODCPFR74d7kvt5+3BNH13L1f4Eho9igsNzMQ8HMfZUkyKhUwVKV0DlwmGF3VLMWe4YK6PZVEw4oAxnGUf9KtM9DVJORJxIPgwr8QaWoobI6b6HQdgEXe9T16zyqMmJ+ChpBk7mZDkAUGXn4s+fo9KaBj2z8zoZ27OXkHY+0Pff3J/ocQ3su19pdGfCinyLGkIPOZ5bp+l6YPca9V2bYN72PZX0xdRPAKkEBPs+1ILT5tiWhe8UUN89hmu/u50p+eSTJduCJxi1hlKN+uhoZBR1HWrm77jxrAr8XZvnk8T/CFTlO6EHZZaR9xNVcx7Mwa2POtFJ4Ze+xKpo1+sVHIc7CEctzG9lbZqZbnbE5MYHnikcWOrUQ79vDrL4FhFGM8adF5Gng99lH3x9jfHYz57aR7duWXgf+3Rxc8JduizcK9OMqZ868yJGDD9fFUIcF/OIheKUPl7twzaC9+4yQRuMC01wE+rMFs+99L4Mp0cRGW4DezyTHNPLEVNDpQLkHzruZriWMPDE21f4KlLktjnnWZXPaZx3dgJ7fAsaMQR3mWcNU+wVju2BOpAQZRRNGg0BdYsiFkTDqZ3Dtkcr8TF7+hEbb9qKWrx2EzyU9oeqOsdKY0fqOjGh8WN6wLbfM/xCVcQ3FGKGZ6cpC52D+o59k6uOfHA0jx5BbhKKvVd8zqOvV1YmioWFEiCoamTVKHIpq1mWmQSfeuyd0YBYtA7OcUee5VZleI+SN4Csj5J2Cg8VRQ+Y6Xx5IM6lG4jjyMkhXkrWV+vLqUk2GSPqGkNIE5hiaoA2wKbM5DoaMJATtZ2RM2itMjDPT+V4a0ETT1cgIHUfaIuP00jdYLK+C2Bozn1AM65GRI5eh5XD1bB+l7Vc8OEAsgCGPBQ/PP858vkAxpVaTNJJuaIg96zRBLktmVajXh13/wgL89kqCjJL7DmdhdQ5WDzZ7FYBCbH1rREudz5hZy5CNX/G2oBjjszHGv2s/mxJEsIOEUQ9tu3DJFkTqDH3tyilijBw59HDtOF/twYUSzTWY0oSz1EznFQecBraRh246yRkRRt52OMOQSLIwRaB7WP1G5VAXe/pm3EFetZiAtyFo04pp70VH4f9yuvkzMwP1qDdyZdrljQijNJ8kRTRDMR9IgoyqbNRn5NF0mVCXzHeU6kzZUdaymWm+sgC/M9eYuoIdO8wg62qx0142raYWe4dZIowKE7xiglBsXGXQKg3+TCkVAcpKQ4JrVGvjcZ+Ra/P+vsq8ue8wQO8EvP6oRnKduw/OnlDG4+H51zp6rj93bYKDOuS5M9Xjjx368wQyJGSjgTQ3IIzcEX45MTvVPiNDPJ7TMsiatRyMUXqYfiqgXJj4+8gE7tr/Ls4PzrBYLtYBDDFvBHeerm2oeym5MCpc+KHM3es7isDycLFGHsF+PH+szc0ye8cDE+5dQy6LyXGOjIKtw2urV3nx2ov0Y59sCu56HPjA6Hy5IuVBLotWuLYQ81HZPA/MMjJOGEkGrz4Oa+/Va3Ztj8ZMW5bPZAtgSLv2R3XH5za+XWjHCKMuKNR1jT0RRqcvPQ/A0UOP6MaOViAyQqcAMiu2aUKi1uZSDcsYYJlT9+8Rd2hizmxjaGSw1mIgvXlYnIflZb32ujI4Dv8TEwZhfBKfFyydyrU1eRqFI6KCMkuEUUQ3zeommRr2/CMVA6BOiJRq1EznyMjt6JUdkweoiqbtuBcrjcaUy2CbMWrzvmfKxowUpGH40zN7yaXgrqn7Nak26M1caRBRBleZhumRTR45ttZd78sAMyOKVaemUSSGsWGs3nrd38swM2d+0Lno92Blv76LtQW4cFyRwQxAD5Z7o8jIUY/4vJmpRk1ZlSIjGmHkvqvNkDOya21hZA9X2jExNBp+mTXCIUjz3p1cKaq7mIoWLT3RuZ88z0eQUd/OLZI1G+x/pb23tG6dX/vlKe2PBfAD7/xf+b6Tf6WJfAyTfUaOjPqFjruLIuM0z6+ukzjd4X2HPgHDyM+98GkWyyvaXn4e5ODo8WJmV0fny3ltUWtSPsTmMDRV0dOmxp4kvmrrp+s+o+N72fsdH+e77v7jGiBjZb8CmoD81ihPd3O0Y3xGPYBgDm8n06hOX1RhdOTQQwwvAlEZVBWbXIaVMMp4xYWRMYK+MY5aq7copDovBeoCkG1kBGqqW5yD5SuNzTylvKc5Nf7ViJmqRcu5jr3bVdPERXO6F6aBlxlkUxArC4u1eWh3wXx5GqaHcKC1AwbGOJ0hxDzRQqv1yMg3qDNRd8YXbWQUqBMCKxNGgwKGS2YyCo0wkqD3HBgzKmNpXL2ZW4G63bf3SapNcXatMmj4cqfPOtWsMCaXTzdzHoMmwda1Bg0t+BwOgyEj0/ZXzDw4l1HnUGWZbrypjgqjmI9HRpWZuUQiP3vhH1JZnwafxxrdbSCMFg3h7Bk0NQFTZlwXtjUFqkSVldK0+mEGnUQYDZN35XPiKMWPWSqv8o7iHnqdnvogEBv8AAAgAElEQVSMItqqwpFRsmYDhiJsXYWq+d6F0a8dhrgMf2EZZP9M03oD6vyxKowXRo5+BXX9SGbC2CTzwARk1s14aN/7ObmyzIMHHuRqd49psKPkyN/ykFUYGTLKbX0NbZ34/PlaSYfnYflrhtQ7piBkudD/6AcYfE4/H5owKlD/6Lh+TG8X2jHIqIcunBQZuanplQvPc+DAXfSmZuvNOTD7fidQF8z0ni0ujMpk9twe7tpQGZIse2yjhWaDrbXG1+moHbkawxQB9j4E59/JOibQFmqgDDAbqEbfEdWoVsvmuWOAbJoaGTlCaAujX9sL/3bMWH71AHxpxhCBMVFHQH1Mc/R5pkFGwcxXVVTTWRagLBQGPHHoYyM5XCPCKKowKo2xYJpnJrrZV1ihpOJbS1+vS7IQ9Vk7Usso9clkDTP10jdrbq9vqWaFPdtUL5nzTENtazOdNEEIHrae0TBu79UzmycRhjY3cyaMqrxZT169ohZGEUIuzOTz7MsPcnju3hrZ+VxtJIx+9QB8ZlaPGYgig+WiOcefw9HJwNZHmWmCaJVBzxmlzz3UqQfrkBFatPTZld9tfEY0VoIqNkjL10cUmjp/VeNTyu2ClweKjC8P4OzD8NV3QbQxpWa6dvCNj83fd8BKKCX3d4Qbssgba2cphyXHsnvJi2IdUsbmR5Iw9lysNp+YcuXP6cI904jNccioFLVshBIyfx6zVKxkOnHeO6pjc/4WqU93U7RjkFEXE0Y5tVbkPWZOn3ueEycerp3OXpOrwpyehqhcI3VBMAzUnvm+bTRnmKWF73pBTdVwG+26HRaeZZDNwdCdSy2KmUbPpT6jGhm1muytZBD60O3oIh52taLzHNo6oNoPz52E/Eu2WbNG4Ka0Clwew+iu5XBhaMEEFgkUUKY6XFPNMa3K7GHwodJ5c3NdAMQCGEqp6sz6Kh810w0qFbqlIabaZ2LCiCLjkc5j7N3/HgZY/o7d94kMlubgGqxrBe5CeGDJqO3dkItO9PRU8yzRBK4HftQh/rZOBnHUl7FiZruO+e8qaYTSbKYIfDUkyCg0Co8ng4rAxw//SaYH2k4gRegbIaNS4HQHzi1roqeb4FanYHkIc0nLcQ9gKI2hDnNlhKFqzJTBEaAvQP8njL7vPQt3c2H4K1ShoiTUdQBXMkWNeVqb0f43xITRYD0y6qP5OGcE5o3R+1L1SuLpGOr3Z+enqKSXjVZAqdFaDv/+W3+fM6v38GT32ykOPjI2WGDg69YGUAQVRl30xyNHfa0OzVoQGR2fC6PVDMJaMyfepmM1U4VtkCCjmI8GI73daEvlrIh8j4g8LyKnRORHx3z/Z0XkvIh8yX5+aKvGkqMLYKQKcICKyMtnv8aJEw/X2rJrJCWqSZGpma6S2nxPJqPORK+sW2bmsM/VvDEIScSOJNr1mJkv9lHXo2pTak6xS2iJ/THHLgbd9FluGlXSQ6kooPwo/PJReLFH3S45FusrGg9EteNBa1euGaP1gqXkoz4jzKYOiRnGhFFwTdSeoewEHl/4DpaqayM+I+8KWwVFkX2SsRrj8Qi+rNfhkwt/lKMLJ/Hq4R6et6+AE3c3jNuFkWQNMqpLzLSE0XHgrgjTM82cuyJRI4rM1kGgbiXujvyBIaMwVIY+5cLG5mbaBNiFWUYiBX1a3WekwTIVV4aXWaNfa9mpwBpH57pwrdTq5gMLugjAsNe0I0jNnl6ux3vtuOO/9pm5MErWqM9JioQH9l/IQ83QxXLCwqC5nh/vpYjWDHW4sO7aHBwEmIczgdpH5Pevax+GWj7W5NFu6XinMn0n7mfz99jNhe888cdZjiv810u/NLG76oBRBFZIk6vUsfkZhEaxKLPEZ5ScVwsjQ0ZF3jxPFEtCj2ruj1EtNFXeVGrZKhKRb4nIV4wfP721dxulLUNGIpIBfw/479AiAL8pIp8dE+r3czHGH9mqcaTUkZYQCHBl9RxLK1e4++5H6g0Z4ygyQhRRpdqNFwZ16huTLTMz02WNnbfPKKoSGW9e685ouK+0bXiwLotbaJhxm66Gxj/UQSOI0nDWqwWsDK0skdvb89Gou4hppJaxnjqd+5gJyZm+hyKb4E2RkTObQYBsqL+7YA6A5EIpkWEcQGJOczOd94RaM4YzzBqGnbswyeHCO+DKUYiDJrAkTZithZGjGKgrRnhEXFsYzQPvPNn87Yx3jVGEMBBVPKI9f+3zCRpMElaVAd8rcCY25pqZaXj1BHxjFT4Qmud2ZOSIQQT+2Wt/h+HKIif3f5woHxiJuBvXygTg9Z4mePYLFUYlWsZmsaeJr8dpEF5dQ1ASM531Kixca0+QUUyDOrJR5ePFs1/kfiJ1ySjz7i8Z4+20kVEijDJp1vgc8Hu60LkXTguc68GDplA4NJJcf6/GICNHbWl1hqlMIxg9kdYDj/IM7trzKEvhiwyKiqrHWOrLqDDqBFiOZtKXZg34vnJhlO4JoE5YXrax1fNnPtzVAqYcGaHXJru5ppo3Qd8VY7xwW+6U0FbK2fcDp2KM34wx9oGfBT51nXO2lDphFElIBi9f+goAsycf5ZL1oic2fVyKTBeOm+nqopEThNHSHKzt0Yq+mai5bg3q+mgj5rX2+DrQnxtlok51BFPyXRbWI6OhaA8eN3W4rflactwVy91Y6zb2dslGkZGbF/uFZpyn1E82m7c8cOa5asJopHeLMUwPbDBrnX5n1zmy5xFlajbe0rTgypiU+zK8hE4Ihj4MXaxNQTT/i/vp0rly4VCb6XJDAqHxUYXrbHRHtQNpmHgtgHJGhIdHSy2Kli4KAQ4JvOuxhtlOC/B++OUPwqt5g4zcZ+T5NyIwZIgQODR3X60UpceMo9d7yih9DcYI3RKqDjy7oA3i3EyXu2C2Z4xBK3bnCRMNJD6YxI/mSNOGw8BKPBESn1GuiD2nYbz1KzIh2G4vIcCBOZifU5/bhY7en+QadV5aGEUe0CAjL58Euh/6PVgx03YdkJDD68vf5JX+t+jmMyOJrikNkmuBKSH2jF1b1Cky8koWaVCPP3cVbH2kezpX5Lpiym+dIyX6zGkk5NuNtlIY3QW8kvx92j5r0x8WkS+LyGdE5MS4C4nID4vI0yLy9HB48ynILoxKgWetAsGzZ3+FIIG1b/8Az/WaiKNBR81KXbPLuTBKWwyUyaKskVEHLr0Xlvclwig2fpIMvd4481qnA4NZaudsSl6GPl3QaX8dp+WMuso0NBFEqZ38SkeFQ98SMnMr5ZLWvvJCoGUGSy0zUJ9GGEWoa6lFUb/TuqrMNs7M/CkpMiLAN1ee4dLq6yPIyG3uHsnoGfojyMiEkwsIz2ep56TF9Gqt3sw8Xn2i9tVcxx7v724tW2+mO3w3dB9pkpvdDLMYRlFlmx6fAg7Cf5kZ4zNKhFuRd3lk6l3Mzx6qc1b8mHHCaCDwWqHPKp0mT27KfHzPz8JnpmCxaoRR7cy3d7ZWtExLdj8EzVPDKuW0kJGvC0dG0Aij9lwIbobUNdkWKE4LHU0+d2XE94h04NIBWFxYj4wCFg2bCg90j15LzHRetPfXXvuMIpx8euwehPVmulyoc706QffnIFm/lZiSF9fvizKHZVrCSGBlwXpdYdF0mDAKo/v4Jih3Pmo/PzzmmAg8JSK/NeH7LaM7HcDwb4F/EWNcE5E/D3yapoxETTHGnwR+EmBmZmaD2KGNqTBhdLoHvzgH7+7AV89+npP3v4e1hXnWbPPnBo+9L71UzeKoWyOEJtMaTFsGddQG6n4rqVYqeQsZtRBHnsO+E41zNiXP6Um1srSlgdNqBmVF3e2zwDSqHLyUyFUzHfYL3TRiEU6rGTVn8/yVdlOvyp7Vy8J4FWoAz3tqa7eImZJsQ3oAgqB/H5q5n5VysUFGGXUlZu9wGW0sjmQk6DtYsePcT1TlUNkzVC1h5KHSMdCUQkKZ08hzTKD63QV9D+6YHwp0ZmH4pDFzY6r93OZ/g+vmwN374MJMI0QzScybmD+JyKv9lzhYLVMxTZ4cM049u9CFxRKmu9rmfkX0ffYiPFnA6X1woQ+XFqkTUYc2h87A04RXf37350UTRrPAkxnM7Gvm2aMdX8m1RJYHBK3BSC+j+nj0XfRhXUSc02yAM7Nq1kqDTbIMXrtPK1wcGXNuXSuvZSm4ImqmHAbqTrb9oNUPimKa2Fm/DyNNVKyTR/zRtyri0iAjR7qpVSB9bo8U7SVzkgGrCxaYU8LQoumKAEcy6CTdZW+ChjHG913nmA/GGF8VkUPAL4rI12KMn7+lu26SthIZvQqkSOe4fVZTjPFijNE9JP8v8N4tHI822+qoyWq5gm901vj6+S/wzsc/zJXQMMCIbh53LGbjkJGMCiNHRjFrQovdp+E+I4+AcvPSOJq7B+SDzd8V6udyn9HIRnAGkpDnO9VZ81g4a8IQL1twxiC3Z0YRYNp4zBFiGVq1vKTxjdXM3oWIaenpJq4/TxCDJ6SCMuorgwssD67UIdhkDQKqpHE4e4CIKwWuXUYzhXhypb/DkZJKUFeHjgEommCVofkHs+sIo0DDbDzHLGYNMklbBeRB/YXDOJpXM44KUQ146M8fmvF6D63luMiV4SVeXTw1GsAQGmF0sQP/8i54I2hx37VK/VIxa5CRZHB0Ck4cA7pwzebTIz9rhSeYeSvxnbiiEAOEhCkem4MFq9MswKHv+ZM8evdHeb4Pr7wKMtAIvmHVhDA7pciozehT8lqMl/NRYeTCz3MC2yQ9W6d23y6jPlQPrCmCBl5oMMP0SAkgpzKdHyOP2JNSTXZi6N3Xad1GplovjEpTHNM5yVAT/8o0xDUVWJ6bdX8Xjt47fn7eLIoxvmr/ngN+AXW33BbaSmH0m8CDInKfiHSAHwA+mx4gIkeTP78XeG4Lx0MHfblXjbm/cvpp+uUq73j3h1mFushlRE0UwcxXXgTUmQA0Dl8nDxGlsFBdg/6EpKqvMaU8THY6t+nULPz0Ea1BFxl9YXUkT4IVPaovZYC9DC734KlD8FrH2lV0VDAPLfigk49GGrqZrgqjETxeLsnt4WmSJoamxvWriTR+ojRbPgic77/K69dONWY1Q5Tuk1ouaMLmTeNME0Nx4VBRVyIH/T0dh1fciJkKraExomHPGOxmkJHoPA3Fat8likWdzW/jW82V2YQN+k6BJWfm1L170vl0M51zwJiFUZ9RoM53+/ICfKOCL0Tr3FvBfFePWQmjZt7C7rloazWYoC+NqbtWH5Mq4JndLwpWQmI9BWDlAw9x6LEPUa5B1VXf2PI8ozXYkuPd9NleOylNA2VP/Z1R1O9lp+r/Jpw7OAIvPAaX7te/PbrUfaienpFnMIh9zRcqZojz6681lMb36+R+Ka86kkljpnOz8FqwAIZkz/tzDysIiTAqUKG7PAVxqEqKV0TfahKRGRFtXC8iM8B3A89s/Z2VtsxMF2McisiPAJ9D1/FPxRi/KiJ/E3g6xvhZ4H8Wke9F99wbwJ/dqvGAPuzAFqIM4ZXXFX3e994P8uVKzWjucF0tqOtt5WYKyRLtK5dRgdIPECu9yVpQTcmT4FYNTaTnTkJGbbrcgXNDeK2kdtzXz2NMO6227QgtTSzs5XChB78t8JVZKCqga8LItPGpXP1NXpl8xEyX3NOFXyVN9QbPRo/SnO/U1lzdse+HeFQR0ggPrznnDdNWEi3TfQaZUFd9iObDISqjqZWEtBeSDcZNi5UJo8LrD8p6RtmmzOZ8LbPfbaxuXkvD7z3ybJig1EmUo8x1YJFhdUKrJMIoGxVGXlHcj7mWwzd6apo7PaWmx2xRc6SqgSpIaVBHmrfijLLMdfzBGGkZ0OToZA6jMdZJwsiPiQGqIcw8DLwHVqdHEXt6vKcouPl2HE2h5y52YEqo360LZKnGn1tkcHkPDAzJjVRhKC2CryWAi3yabEzH3FTZcMrteTObt7wy60TWBAetGb8Zp6RVUf1e6XwwC8sz+scgb5TiVjrhVtBh4BdEFZ8c+JkY43/c+tsqbanPKMb474F/3/rsbyS//3Xgr2/lGFLqoAz0Wgb5EJa/+t+YfuAdxP0HlGl4FFdUYeT+oTxQV6P2Be/JaWXU49YEcqvW7JnkuTGk5QRBgDWV26QwWjLnvJcjShWkDOrCnc53fVOnJYWmAmYXgPMzsLAGU/Oqra5NAaLHX7XK3b2syZ0gt9p2BjdSIVVHtkljMqriqBnDhYA3tAuOknweXegkpheyRtDFzDLc7Z5p6ZeAChXP7cjM+15HI7YDGBxJmtlmCHQqOPcghKtw7yYilbpBQ+ALUd8iJjghMXOFZj6G5nfciGpklDeo0YW7m4LrCul5GA0TtrX57DxcGUCxB86t6bx20cRnz2sbaemNBbYUjVZfBqjKBtFXwc43EpThClBtgIzcvMqAug36ign/XrH+eMSqPZhfddIcdTItStptCyNDxeP8TYWtBw+wyFABtZgDpSpaGbbX7fxeNk3cv95nVLbm0K8Xc+oSQTm6Fl0Q1S1TWojKEd2QptxSfc1ZWOnpNYZdFUbhNgijGOM3gSe2+DYTaZMs8e1BBcrMLuUQhrD43FeZevzdvBpoSucbwlktGmhcuNaWaP0BRrLfVwQ6tuCiaem+EVaMSXlY+DhfzyRaNK1/KYwycUiEURII4Qm2RbKp7wMemIHH74e4H1YqDZW9dgBOf4c6THMUKXmCq9cga+cfuS+pCo2PLTUZtYVRjYxs7PWmT4S6Vzl24SHShLTiwgjqkO9KGp9RHUIrjRm1ynT+U7t/PT77XizqrqignIHzx6/vMwL1ra0EPTe3950iIzfj+HMPoyLTjShHkxsH7peUxARn8yGZWCRgqJOH/R6DoE0gZQlO7IPFWe3m2u02EYCr9q4cnRf2PtIK6imCjeYT7LYFtKOQDYQRovuss0LdedaF4ThhJFiAUIvRt2k2h+Wuvb/EJ4pMRkbu00lbmvSC+lAjGpxTmM9zamoPU9kce3sHqfasZ/5uum6b6WJG3UIjF2v1kFtybtYE16yzGNj77bbWx1QBS7P6nHW7ldtgprvTtOOEUZXB1QxkbZmll16i+9DDvNhtMs+HxviG+SiSiXF0wbeF0arYBjfGG1ChEzMrXErCCIR1vp5JtJg1Tvy2zyhFRk7tysegKSEPHIfZHjwwpw7cOcvZuNaj7rM0THKKvL225K2Qb0dGCSLIwnqh4+Sf+xDrduT2b5bB3nd+iPve+/1Nq3XbhB4154x02FNzz7BLXeevDI2fKBq69Y6p6wIYAlQ9WNgD+QF95wELN5aNGWE9l0HNdAMaBp62lnffYKqxdzdjpitsPhPU5/k3AAdntFdvzLMaodfHBC3dFAT2d1W4LvehmGkiAH391D5PzMxL4zPy95TZnGaVphukFDs2VxOSQt1MV4kpX2bmS8sirTtHVBhV7QXeotkMzh2FVx6GakE/cyTWTip1yjBhlAgCLwk0kCbCLwB5Z5r9nSN0OwW/cQh+Yd/oHk3r+DnVAQymlHWCFjzOn4DlA3qsK7Lj9gXVeoHfDVrB32szhrgrjN525MhoUMLq6W8A0H3HI5ztWcmOwhzn6GZyaJ8HTPowkgDowijSCCPXLgW1c0sOb3Qbjdev576ejahCgy2q0CTBjRRbtOdJ+xC5iXDS4n0wh287BvOz5muxTVw7tP060vie0mRY/9xNZgJNNQUX2i0zndicBMyXIgnCzGD4Bz6KvPtdjc/IEUxQAbGWmbDpwMvvhgv3NPfExkFsUFp9nTHRdGWAuW8DTjYRft0EpV2PPCJzFUNGicBwAe5FNAkQBusjyNqUo0Ly3N1wZV+CjKQJTnjPsY8Aiowcofuc1wmjQatGMKUCanZ6FBl5pQV/L10XRm1kZIJfZLR0D8Dlx+HlhyajSBf6MYBMNQy4Los0JpouiL7jyMbotBfUv3f1YLO+3dwlTEZGVT6ayzOdaXTsUjAzu9VWvLTyGi+tfgOZ0ojT54ewnMCjGhllo9cna9Z8Hiya7rD67dIk77bFIAY17eetOekAi3tVORwW1IVZ3+60o4RRB2PAFSy/om0j5h55mFWx0GnTTkthJCM/g7q1ciqMPPpoaOcXogvOTStdNH/hknUQTgtAthHNOFo1QVOGpmfKSLFFG1daWqhv48wnbGoBFubN9Jg1wQ/TqBP9vPs/bBNNhdGQ77qFQNYgo1pL943X8tWMFEeV9IuGCUZooorMj+TCqI5UzKw3TYIevHRNRM2rkiCjNHHRx5fm5HhwQCeYINvEhi+wWm9VYyocQUYkPjRRh3ZnE8JIAly5Cy4do/YZpdUVSlGuWFnkQmqmG4oqQ+6zmO/oGGZmG2S0NkaZ6ZqQ99yiGhkJvPx+OH1yvfA4NA1rx8YzfhgV+lUSkbbswmgMMvI59HynSTSFrtFh1Rzn73USMnJrSHrdboD+lNZrLCvqQr9TU3vUOnJQQ+HXOqPCqC6d1BJGHgoPFiKeJf7DrBFG7WdGNPChvVc7wMW7oHoXrM1T9+R6u9OWBjBsN/Js8WEFiyaMDj3yICuva1QVBXXPnJJGs86gXmxtZFTFpmJ3YUzSI8oEmC1UWBSMmkjKXOuGSdB6YSkNRDdvP6jAqgpYNa7UzognG23UNwhqDrme/8M1urJqhFHswXk7zxlrL6hz2QM1XEhFE0ZtLT0N8vB5so8bYSSJudOFkfgDMVLiJXckBnUvpPSeHtocgwoj9xm1C5/WjDsZ29DQxJEADDaJjDCT2prOTQgJMpLGL1PZTbO4XvMd9y7EUEpozacjo//26mchQtVpAhh8Tgd+ro3j0Y4WFZ0yE5kkyGOEKWdw1czPmTHUeu324Nqh9Qz+ngzuedfkZxEaBaHc18SQXAuqrI0TGEGUgYtsLIx6QLQw+bodh93U561NR4DHCphLfFwdFN1edGTU0et85/v/Ivdmq1SHtUxPmWnS7iE7r27xkYzR311axbzKYXXYrFm3Cow8s81TVq0X+AVQduGN+5vIzZ1AOwoZFQC2ia+99DwLd9/NvoVpytCUf/e2wZWMCqMYdMGP+IxsMQ/s32C2abcRA8znTUJmWxj91n74uZZdGuC5efj/DipKGVa6AT1BcxwyulLA5w5pdvqqb8zrvNmaAZrZoYdGfZ23ze6tNLqiG3fNNMQUpQyd2QfqHJx2x03X8FPHftqx1jPk07B1SZBRx95XMFOFCyO/pyeGxqDjDQVNMu44YWQMq6JBsHcHeN/jk7X9lDwk2qtppzUKPSE4T8xs+Sa0WsF6J9H4FlwY+XhPHno3c9kC3Zl9db8oP2bNw/ttHAcCPP6O5phMmijLdF10A3XVC1cAHD2dDHDgJuqg+fstAwRLhI2sr8HWPsdRx/WEUdWhjlxL7zcJGeXA/QcbwQy21wu4kFO3/BbghScLLpycY3hM91KZjRYYTt+vU4aZhhNhNMytbFCVIKPWGvB9kbMekdf1JGV9Yda3M+04ZOT+iMVvPc/+hx9mVhQR9EpltMNcf8rQ5Oo4MhJGkVEM8PkjcNSZbWE26kRLmwnq64iLzbnu63mtCy8N4OoA9iTmi6UcLlbwu4VugMzs/aHlj3Hn7KvT8PUMZoYauZdtggG6MHIG5SjujQ6wZgjL0F6/C6uVoqfUiVtJY/N35ttMWDNP4iYLmk0oyVx4t9Q64ikRUJ2g/hlnQBXUNe5qxic6Dwxt8ztj7a4fRyo4YvKeNmuTd99aWUHoGPOx71aN8Xj0JeH61Rfq67piYO/Y57M0Ifueuz/Cd7/yEZ6aolZKoh2zagh9Yli0NPOW1oZzS4GBIjwAJQic6AAPb27sKQkwsCRisUi6taBVSCbNRRALINrgGFBhFPJRxcXHLcmauh554uuFjt7XI/xefDcc+TocO6wWiTJoUrBTGrGZPu/9vv5oIiPXUGFUl79q7ccaGY3Zpz6+xcyE0Q6BDDvkMZUKsITOyJVTX2P/ww8zgzqPi9xMT6HJZUl9PB4hlVb/jQG+UsB/LEwzzS0sFuqZnQKqLiPdT12IXMjULr3SQkb9oMLgW5YoOJOPj8hxZHS5q5v9cra+8vEkcmHkdm2APTlcNX9IKTrmjpjZwcbo2iHGFKDxcQQMGSX3HxFSCZOVFjMZOc+QEaLvwCMZc5/bFspyZCSlvgPvW5QyZxeCIya1egCbpxoZWcikFxgF6yBaQq9LnSe0GdMfWL8amjmokZx9vxKXea3/MivZoEbowqgJbpJATdF6un78WUSa+UkR/M1QAC7eDW+8F6LZt5Yt/WBSUnHNkONosva647A6boGRKuHelHGz5KbWNyzHyn16i3fDVz+s/qQyKg9IW7S7ibqN3h6agocfbsbo6Ry42XiSmU7GC980MbfPrjB6W5Kgi6M89zqDpUUOPPIIe4C7O7B/Djwya2DIqJMIoxhGF/wR4IkZeOgorO6DpYE6InM3Odlx06j9NzXxOdJaGyoKW0TL/vyHA7pwPSdjRSAbQs+6PbZLiriQvNxVs8BiYY7sTWjjAWPuiWCYCbAyCxeHiZkuKMPyKDsvLOldBt0PVKPG1v2dYdY+I5vLdr6WV1UAmlwtLFdLVNDkWcNUgzTzOAz6r5jfz6+3Ls+oJYzaOVGbIU8W9eTHtGDusuWvFV1qf9b1IumcOmF0PD5v7jP6hS//XX7+wk9xrbw8ckxGU0pnknPBhbjEUYFVkJjp7IKRW2MKfu7KwWZdLXmgzISySJ4I7cmdG9FsPoqifZ5v5D06s18sdH/lSfPAYceKDZuvNu0f5ArMRvvLFc3lQF2AOI6ZVB/3uOd1//IZaxdf3OAafavSjhJGoMJi9UUNXtj/0EME4PG9cPgoWoHZfCGljJrpYmvBB+DYXji6Dx7cr22Ru6GxJ/uxU4B4Vej0ehn0S3XcLokmLT4d4bKXbhH9LvRhys6vE5horuNhu4OoFRSGbN7GXMho4MA0iuLOSBMi3gmN/Ros2bM0vw6MBCy0w7ZteGsxwgQAABimSURBVM2QTaCnwsjnwhNZwa4nzfvCxlIkPqM0gq8Meg2JjZkOm/f0fa0r3QObNu04OSOrK4dLc7+loMyt22k03+uVAnIqXKCm46URdEf336+fzy6MbNogTfWCSbX1Cn/WVmJogZqDHBnFNwEZ1Qg0ucay+U171xFGsglhtD/X5PI0gCGGG2NkBdTldWTY5D558ePVYGkX3dE233Xvow1u5grSStag+doikJAL/3GBRoIGl5yb0b5LMws38HBvYdpxwqgTYPWlUwDsf/DB+nPX7N1nJDQhl84wJ2lfDxTwbYfgwP5Gk3doXaCBATFrPstpnLyxZ4EHZiK8UunfeYRyVkODu5meHxNTn49LgkXcifYp2ogptcmTPUMqjHoaOFHaxpsK1AU1wZCRhbjXgQepYEmEipNHzKV+Hj/G/05bV+PIyK8VLCotNAIw9VMNTABJVObv+U/t0O4UaaQVtm+EMqhbLEjW1C2soiZTF4Y+cszUu1lhJKNCWmzevGfWbG+BXHLiVGcUHYshowkmH9B5qyK12cipg77bVLAj3JJZqJ7nZIzLmc7R9IS5yP1dbKLSwAMC33ZfEyLua+BGwINgJa8iZEmb81oY2frv5Fqk18l7H200P84rVlNkJOt5R8+eux1JV39vcxZWYd+YOnlvR9pxwui+DDrnXyAUBfMnRnv5iaiJZ1ig0VvtaLoJ1xRg/7xukCxhpP7dnLUraPuMsghhSjXqJdsA14JC/D19YEbt7Lmhl3FmOhGtfxa7anbwqL7NUCcow3QGNYWGIZ/vmePUzHSSaw8koK507TXlSExLjozammMmjbM9QF1bDvTvxT0aJFELKBd0NIghSMK0WhFnHtot6Fg9sqldmHKcz+hGhZFgpkubtyyYjxHrZGrztB94ZwEH92zuuh5qn1IqjJaGVxnGIathOMJ5vUr0RpFoua3HNvIo7MZpYVa4dWTUFkZLuSLGcdUXIBHAmyx7k0bG+bhv1Nw6lVG390jXb+nCCCs/5CZQTBGLbFipwysyrAY1zfs7aY+vC3x0Bo6PbSeq4ysjTA9gakLppbcb7ahoOoDpAOW5U+y97z5Ca+VnmZrp1nqMZIu7b2YzjMthuod2Azyaw9neqDAiwFylmtdy3uQ1XBONHusKvK8Dg/3WDykwNoBBgiXudaA/gLLcvGmok40KowBMF9p+oGNIpmvIaTEHhlap3MoNORNom+nazCxgzClhenX7duD1h+HKHDzp6GteKxFQjCKG2vfkYdVQR8ilLcu9UGo7xHwcMroZdaybaZCJh3BXmSoU/apBJwLcs3fz13QmNlK/LGHqr19+UQV3WKFgbuQYAz0TO8p6BfG2Vl9Hl2aNeW1SiPRmyYV+WtdtOQNZg85GZjpRxH2jZW/EbnqjSsV0pg322l1WV4M1xyy1puByoUKr4++i2lhYu+LqVVjcFD5OWE5CRdCE3c/suXFB+1alHYeMAC698AL7Tp5c97lruasd1eS82GgdebaJ2XJzR7o5FgQeOtksqg66AWesXMhyZsIoaLUGzxk51IO7jiclR1rIyE05UawYZ26FTjdrphNd8Kl5ZyZTTda7bgYUQXlzvr595kww1dK979M6YeTHBOrOmO08EW8FDiAFvPROuHrYjjNh5IhpXcRZ3viMKKhbUtCaq4wmOq2ulnCDzA/UhFIF6ppmVVBEO4ybN8u1yYVRyncyGt+LBKEKWoEiTaJ11FkxWhw3pVRBagujPWLJqJjJtbXGbpT88qnPaDGDfEL1BWgEYeDGhUptprvBMbsvNPXZTAftI7Qoar6byqDfU78NJGa66wQw4AEbUFe2uFFOO4fuy/kdYqKDHSiMYoy8ceoUex94YN13wQIYVrpNNQVoAgU2I4z82I02Rxf4UFchehHgasf8PgGudM3vkzCcHAvBZb22n4ueN5epj2RYsenclhz1GaTROlMZrHQ0lDskny3aePqiDLAWDOmzhw3MdIagjgBPFDBnyr0Lo5QJCs21vQ1HGj2XyLa6ZYczcg8ugPVMNUUadcv0m0FGhibSnkrXDKFer5HeJKoVjgnIaP++u7RSepGTJ0VKXRhJnPzefd5Ca10K8B3TpijZB7eKjMaZ6S4H9Z1M2hMuUG5GCPq5m9mbKXnia7rP5tAuq6/kioymcy3Ku2QVUlwYXQ8ZeUmw1Ed6o892HPj2o7B3/42d91amHWemWz1/nv7i4nhklFlod2d0Y7s5rNoEk3eYTtz4uLke0IPOmub25FEFzmVHRm1hlDXmqZRy0QixhQLODFSobZSrMXIu+kzps3ZF8yyWBo1tfCpvWn/30blIfUb1s5sAmYiMjHnffSA5B2oB005kDDSaZlp8NEVGbqarHEF5sMeY4ISsbaZjfbDFZqhAw35zMztWedN3qneryKgtjOz3d/2B7+fV/By/dnCKmbYwihubuHzexvFQCaoQOdOU+oSboxqt2nP0BVbYWEGqkdFNCqO0NtxmyRNLQ7J+54ByGi4uKTLqmYJ3WeAY+n43g4zqyiaJAnU9fjCOpqevf8zbiXYcMrr6wgsAY5FRZmaQMhvd2BlwD7CwCdHtG3+zM9vNNLmtrDSs+qojo4SpudAYVzAxDxoIMd1VBlk7/TdBh4ETFXQT5tZFcy3WYuNP7wXod9Qn4km1nlM04sMyptDWrFNk1KbazJL4b2rk09IsHXX6Zdz0NkiEkZiWHNkEMuLmUMA8VgTXzXSZmqLKqGH4N0PpO3bKkvEW0x2GDx9nraPm3fSYccEJKdUBOBsw+zcbGXm33RUzHU8y0UGifNzEfW9WGM2j7286UfpmgLynSei5qGJWtdIa6vtNoNy+97p0tbJ1C6bPnUI7DhldPaVh3fvGmemC9TEKjCQrCvDYDLAeTK2jcQEMG1EvwBXTpDILZphhtFPrOBOO04wAQ+1PRKFM53qdRetzgXffM/qZmy8GlXWIRbVIt50PzEyXZcrM08ecxFTqKLkx40/9BGkirG9gZ6SSNYKpHU2W9gHyag5tQQnQEzWJVktJBeabYICHgQ8d0uZ1b2BV1TPVpic56a9Huf2vHaDiTD3LYK0LWQW9RHmoC89uUBx3MwyxRk+36DNyueAI1BNeZRPC6GZQqp97o8JoFvjI/tFnDWhZrkXLY3L0dM2uPeD6c+OWAa+6UK/ZHaf23zjtuCm6+sILIMKe++5b950HA1QB5CaZSso8N0PeDXaAlf2JappJBcpGARRP5PCu+6yCtJnyNtOxdBJ10WKUZRJ51QHKDlwys5GEhgmmgmEabePdfnaf13GLzdEONPdLzTZtYdROIAwujLIGWcQwPoLpaA6XF+Cbkbr30M0wQIDe1Kjm+0YHZDA5fPl65O+4TBF5SPKMZuHau2A4NYpkA/asG/gK6zm8HjLya94iV/Bac2AJrxE6E5rx+b1v1n/XAR4ROHAT4c9FsX6v7C20tlyWWS28TE3nsPmipZ5k7A0gb0ZY7kTacVN09dQpFk6cIO+ulzZehqYMN89U3GyzWSbnxSrL0kqdBKhaPXA2EkYCzM3roncn8a0KIzEGQiKMqhzeCI0vRsYIo3tRp2uvxXiCtJJa0++grgCQ5h45c+raB3mW2N9T1CiaZ0OgrrNWHtSKGG3GcVig2gu/0018Rre4A/ag9z2da2WKjcxRG1EHRaqpiTWYucvLBF2+F8hHo+lSRDMpEm0zZroaYdykUBi5lo379R6cnlL/0dQGYcw1Er6JyEaA+2fgrrtu7tw2LQhU01baC41SvWjvdDBGwRlHXhIsbQC5Uypv3wrtOGF0bUJYNzR+kGGmTvubobqZ1w0Io5hDGFgRSMvnKTaJjJyEpmPpZqPpxlEH1QrTdgNd1B912YIYQgZxBpbmtCNoStOz6zfsOESTfudVutNoOo9InAY+3IOjRxL/UXJ+Lk2fGe/wOngAXnxsPXPuAIdm4PkFy93i1oXRPPDkfrgy1TRXvBnKgA/PwP33Np8FQ+keun3FTLDjCtFuVKk9wEgFkHHkvp52LtvNUEDzcz57CH49h7A6uRSQ3/vNEIJvBu1B/UauDC4UioyqaAnfmxFGth4JSUDTLezJnULb4PXfXro6IawbGkd7DNfvzjmJ9qOhy/s3WU/Ki1UWlWphMUOb47V8Vt6ZdSOayfTgW0FGgkURBeqq1x0b6OVOk5sTcnjhPfDaO69/TRciGwUwAOui6fz4+SmYnhn1JTllwZCRRdFBU8JvHHM+3oFrC/BCgLrD6S3S4Q586C64e73l94YoZKOIPEDdM2s5h7WKdY36akG/AZPcjJmunvNbEKj1/QSWuhqROV/CQ3c1ofwb3Xs7MOwe8Pv2wHHzpc7msDit/tLNVtB2dJuFRhG4VQG/E2hHBTAsXbnC6oULGyKjUtRJfLNmOgHu3mQJGGiQURYVjcVc799OYHwsaP7TRvRwBmdnbjyLvU3TuWrhvoE6KKO8UqiG6NUONpts6D6BcabLQBMRlpZQGufzycZ8ngv0M83H6FzVz4YwMZR2Hijn4LWrbw4KcJouYPpNTlB0RlZGrYAxrGC6bQJlfG5XSnUAwwbHmFFg1Hl0kxQEVgq974F52H/wOsdDXetvO9BIIiwwmIbzUFeevx55fUpHRlWmSfS7tDHtKGF0doOwbgDpweqMtiC/Wdv/jVKaeNoVjd7JxgQhHO0A9298rVmB2XtvfUzTGVzKGOl0W2RwYVrHFlL/zSY2Z42MJhxbhydLc3xawDW9jreuqM8NaqabvRfEkEm5AVKYQt/toiU2bgfT0CRKkdHVXINcijHCaFw4fUr+ruIGzD41jd4qGehkGGF2g8CFdffehtzIW8CcNhP1ZtImPFFbAuzD0kKmtnigbwPaxlvxzaczJozGhXWDCoCvfwdcuHu9OWSryItVhqzpIrqZTq1bST0XiglS6QYr63IN9s9cX8Ck5MdOCurwAAcnsZPamnytQbd8JmUOv7lHHeZgEX8TxiLAvHXibLdU2G4kqDBaDvA7e0DWYK6FjjdjpusBc3E0XaBNtVnzTVh3WdBAl2wA3U0wYV8fG7Ucv1M0DcQePLtHkWl3E+jNE7UJqmy+8yDs20GVFG6WtqEusnV0PWSUYcIgv33CoINFp3XMN5PfeXNFFw3lTpnDkRyurMCJe2DfAc2q32wyn5vdJmnveYsJutBpq0rjfB8BWO7Br3fgl7rwSWnCzyfRngKuCsS3AjLK4FcOwcsDOBzXl4epkdEGayYHPjQPcXbyMbWJ7k2Yj7qlSH99ZOWke1eOtrcZ9VCT+blprZayb0KV7ZRqs+h2fKBtTDtKGJ05dYreoUN0J3hTM1hXOHSrqQs8nkFvj7VFzzC4dOdoPxpVlGanP5RB9e6GeddRQptgXnUU3ATB9VBocjmgEV7rWir4/5J7eh5HeRXKY/DzAY5ZVNgkmhXVdmVp+wujYQ6nMti7BHe9ZwO0eJ01G67zrtzieqM13sZRhprpOmwumGY/cCzC/CYE1+0mQfP/VivYvwoLm6jEXldg3xVGN0Q7Sxi98ALzE4IXoDFVhNssDO6ZQZNMgIcE8jvcv2Qa+M7j6z9f1x9ok8hoP3CgD8X8+O8P53A4eS0zwHRsKkC075n6PnKUgR7qwf674Jc78MZ5mNpgXLNANaW5OdtdGAHMXIXj72x6JaVUmzTfBMZ3M2V1xpGnSEyqIt6mLvDkkVu/71bRQqEtQuYObW69e9DCbm7RjdHOEkanTrH3u75r4vdT9nOzYd1vBp1MBNN2ploj3wTzWgC+4wbCnnvA792Len8T6th9001+Ashm4Mhd+v3CLCyfg+kNGMEMioyuF4V2p+kgWvXi6AMa2j6O6vdwi2tW0DJHWXVr1/ExIYxUF38r071BgysOHt3c8S6M8psojrqTaUu3ooh8j4g8LyKnRORHx3zfFZGfs++/KCL3btVYVlZWuHj69IbIKAc+Mgf33GK+yE6g2ky3Rdpflq8PUe+iCbDHEy26A9x7uKkJd6IHg97G4+qgFQHKfHPC9E7RLPDkPRuHRnuB1c1Wat+I3j0Fjz1869dxM2vxNokgmwMePzlahmkjWgBmoyWxv8Xoejx7K2nLtqKIZMDfAz4OvAP4EyLyjtZhfw64FGM8CfxfwE9s1XhefPFFAOYnBC84ZdnGHRh3SSmNGLqdNNvVOm2T6LBAuff65pT7C5h5G2iu+4BHM9i3QVLpjdCb4ecIaI29mZus7/hWp1ngw4fhwHXyq7YbbZJnbxltpZnu/cCpGOM3AUTkZ4FPAc8mx3wK+HH7/TPA3xURiTG+6WziBYuk6z7wANfe7IvvUDoO9GbYdvP54DTEuY3HtT+H/e/afmO/GTpk5szt8iwD0KCSqe0zpttOW4CKlt/8S7ZpMzx7y2grhdFdwCvJ36eBD0w6JsY4FJErqL/7QnqQiPww8MP2ZxSRlZsakUjxuQ9/mM/d1MlbTFUVCOFNsNi/ybQ7rhuj7TouuM1jk/CbxM3da7vO2XYcV1VVP1aWQlMY/UZoSkSeTv7+yRjjTyZ/b4Znbxm9JQIYbMJ+8roHXodE5OnY77/vTRjSm04i8nQcDrfd2HbHdWO0XccF23dsu+O6MRKRp2OM225ct0pbafF/FQ12cjpun409RkRy1Pd3cQvHtEu7tEu7tEvjaTM8e8toK4XRbwIPish9ItIBfgD4bOuYzwJ/xn7/I8B/3gp/0S7t0i7t0i5dlzbDs7eMtsxMZz6gHwE+h7rzfirG+FUR+ZvA0zHGzwL/GPhnInIK7eD8A1s1HqNbNvVtIW3Xse2O68Zou44Ltu/Ydsd1Y7Ql45rEs7fiXuNIdoHILu3SLu3SLt1p2sYpf7u0S7u0S7u0U2hXGO3SLu3SLu3SHacdI4zuZJmL1jhOiMh/EZFnReSrIvK/2Oc/LiKvisiX7OcTd2Bs3xKRr9j9n7bP9onIL4rIN+zfTdQtftPH9XAyL18Skasi8pfuxJyJyE+JyDkReSb5bOwcidL/Y2vuyyLy5G0e198Ska/ZvX9BRPbY5/eKyEoyb//gNo9r4nsTkb9u8/W8iPz+rRrXBmP7uWRc3xKRL9nnt3POJvGIO77OtpRijG/7H9QZ9wLaK7UD/C7wjjs0lqPAk/b7HPB1tPTGjwN/9Q7P07eAA63P/k/gR+33HwV+Yhu8yzNoA83bPmfAh4EngWeuN0fAJ4D/gJZr+z3AF2/zuL4byO33n0jGdW963B2Yr7HvzfbB76JlCO+zPZvdzrG1vv/bwN+4A3M2iUfc8XW2lT87BRnVZS5ijH3Ay1zcdooxvh5j/G37/RrwHJr5vF3pU8Cn7fdPA993B8cC8FHghRjjS3fi5jHGz6ORnylNmqNPAT8dlb4A7BGRTdZ+vvVxxRifijF6pv4X0LyR20oT5msSfQr42RjjWozxReAUundv+9hERIA/BvyLrbr/JNqAR9zxdbaVtFOE0bgyF3dcAIhWKX8P8EX76EcMZv/UnTCHoT3RnhKR3xItwQRwOMb4uv1+Bu00cCfpBxhlEHd6zmDyHG2ndfeDqPbsdJ+I/I6I/FcR+dAdGM+497ad5utDwNkY4zeSz277nLV4xFthnd007RRhtO1IRGaBfw38pRjjVeDvAw8A7wZeR00Et5s+GGN8Eq3a+xdF5MPpl1FtAncsF0A0Ee97gX9lH22HORuhOz1H40hEfgytZfbP7aPXgbtjjO8B/jLwMyIyofXhltC2e29j6E8wqvTc9jkbwyNq2o7r7FZppwijO1rmok0iUqCL7J/HGH8eIMZ4NsZYxhgr4B+xheaJSRRjfNX+PQf8go3hrEN++/fc7R5XQh8HfjvGeBa2x5wZTZqjO77uROTPAn8Q+FPGwDAz2EX7/bdQ38xDt2tMG7y3Oz5fUJcm+37g5/yz2z1n43gE23idvRm0U4TRHS1zkZLZov8x8FyM8e8kn6c23j8EPNM+d4vHNSMic/476vx+htGSTX8G+De3c1wtGtFW7/ScJTRpjj4L/A8W7fR7gCuJmWXLSUS+B/hrwPfGGJeTzw+K9q5BRO4HHgS+eRvHNem9fRb4AdGmm/fZuH7jdo0roY8BX4sxnvYPbuecTeIRbNN19qbRnY6guF0/aMTJ11GN5sfu4Dg+iMLrLwNfsp9PAP8M+Ip9/lng6G0e1/1oJNPvAl/1OUJbevwn4BvALwH77tC8zaBFdBeSz277nKHC8HW0bc9ptEHk2DlCo5v+nq25rwDvu83jOoX6Enyd/QM79g/bO/4S8NvAJ2/zuCa+N+DHbL6eBz5+u9+lff5Pgf+pdeztnLNJPOKOr7Ot/NktB7RLu7RLu7RLd5x2iplul3Zpl3Zpl7Yx7QqjXdqlXdqlXbrjtCuMdmmXdmmXdumO064w2qVd2qVd2qU7TrvCaJd2aZd2aZfuOO0Ko13apV3apV2647QrjHZpl3Zpl3bpjtP/D4ISEcJQbIp+AAAAAElFTkSuQmCC\n", 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "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('total tokens staked')\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('total tokens staked')\n", - "ax2.set_ylabel('conviction accumulated')\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('total tokens staked')\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('total tokens staked')\n", - "ax2.set_ylabel('conviction accumulated')\n", - "plt.title('Support for Proposal 1')" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "In plot series 7 above, we can see the granular dynamic inputs of 3 participants staking & unstaking tokens, and the resulting dynamic conviction acting as an aggregator of collective preference." - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "(0.0, 28.590199392003907)" - ] - }, - "execution_count": 16, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "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', color='blue')\n", - "ax2.set_ylabel('Conviction Accumulated', color='orange')\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": "markdown", - "metadata": {}, - "source": [ - "In plot 8 above, we can see the aggregate inputs (tokens staked/unstaked) and the aggregate outputs (conviction accumulation/decay) of a noisy input process, more accurately representing the behavior of these systems in live deployment." - ] - } - ], - "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 -} diff --git a/models/v3/Trigger_Function_Explanation.ipynb b/models/v3/Trigger_Function_Explanation.ipynb deleted file mode 100644 index 800e19d..0000000 --- a/models/v3/Trigger_Function_Explanation.ipynb +++ /dev/null @@ -1,643 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "metadata": { - "tags": [] - }, - "source": [ - "# Transforming Continuous Values to Discrete Events\n", - "\n", - "The role of the trigger function in the conviction voting algorithm is to determine if a sufficient amount of conviction has accumulated in support of a particular proposal. In the 1hive use case for conviction, proposals map to precise quantities of resources $r$ requested from a communal resource pool $R$ (which is time varying $R_t$ but we will drop the subscript for ease of reading). Further more there is a supply of governance tokens $S$ which are being used as part of the goverance process. In the implementation the quantity $S$ will be the effective supply which is the subset of the total Supply for the governance token in question. We assume a time varying supply $S_t$ and thereforewe can interpret $S_t$ as the effective supply without loss of generality. Furthermore we drop the subscript and refer to $S$ for ease of reading. The process of passing a proposal results in an allocation of $r$ funds as shown in the figure below.\n", - "\n", - "![](images/stockflow_cv_trigger.png)\n", - "\n", - "The trigger function is characterized by a set of parameters in addition to the current state of the system: $R$ and $S$. Those parameters are $\\alpha$, $\\beta$ and $\\rho$.\n", - "\n", - "$\\alpha \\in (0,1)$ is the conviction rate parameter defined in [Deriving Alpha](Deriving_Alpha.ipynb) and should be tuned according to a desired half life.\n", - "\n", - "$\\beta\\in (0,1)$ is the assymptotic limit for trigger function. It is impossible to discharge more $\\beta$ share of funds. \n", - "\n", - "$\\rho \\in (0, \\beta^2)$ is a the scale factor for trigger function. Note that we require $0<\\rho <\\beta^2$ \n", - "\n", - "The trigger function:\n", - "\n", - "$y^*(r) = y^*(r) = \\frac{\\rho S}{(1-\\alpha)\\left(\\beta^2 - \\frac{r}{R}\\right) }$\n", - "\n", - "The geometric properties of this function with respect to the parameter choices are shown here:\n", - "\n", - "![](images/trigger_geometry.png)\n", - "\n", - "Note that by requiring that: $0<\\rho <\\beta^2$ the following holds $0<\\frac{\\rho}{\\beta^2}<1$ and $0<\\beta - \\sqrt \\rho <\\beta <1$" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [], - "source": [ - "import numpy as np\n", - "import matplotlib.pyplot as plt\n", - "\n", - "import warnings\n", - "warnings.filterwarnings(\"ignore\")\n", - "\n", - "from cadCAD.configuration.utils import config_sim\n", - "from model.parts.utils import *\n", - "from model.parts.sys_params import * " - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Pull params out of the existing files or use this notebook to ovewrite them with your own choices to see how the plots are affected." - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "{'sentiment': 0.6, 'n': 30, 'm': 7, 'funds': 4867.21, 'supply': 22392.22}" - ] - }, - "execution_count": 2, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "initial_values" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "{'beta': [0.2],\n", - " 'rho': [0.0025],\n", - " 'alpha': [0.7937005259840998],\n", - " 'gamma': [0.001],\n", - " 'sensitivity': [0.75],\n", - " 'tmin': [1],\n", - " 'min_supp': [1],\n", - " 'base_completion_rate': [45],\n", - " 'base_failure_rate': [180],\n", - " 'base_engagement_rate': [0.3],\n", - " 'lowest_affinity_to_support': [0.3]}" - ] - }, - "execution_count": 3, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "params" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [], - "source": [ - "supply = initial_values['supply']\n", - "funds = initial_values['funds']\n", - "\n", - "alpha = params['alpha'][0]\n", - "beta = params['beta'][0]\n", - "rho = params['rho'][0]\n" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [], - "source": [ - "def trigger(requested, funds, supply, alpha, beta, rho):\n", - " '''\n", - " Function that determines threshold for proposals being accepted.\n", - " Refactored slightly from built in to be explicit for demo\n", - " '''\n", - " share = requested/funds\n", - " if share < beta:\n", - " threshold = rho*supply/(beta-share)**2 * 1/(1-alpha)\n", - " return threshold \n", - " else: \n", - " return np.inf" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Simple derivations:\n", - "\n", - "min_required_conviction = $y^*(0) = \\frac{\\rho S}{(1-\\alpha)\\beta^2}$\n", - "\n", - "max_achievable_conviction = $\\frac{S}{1-\\alpha}$\n", - "\n", - "min_required_conviction_as_a_share_of_max = $\\frac{\\rho S}{(1-\\alpha)\\beta^2} \\cdot \\frac{1-\\alpha}{S} = \\frac{\\rho}{\\beta^2}$\n", - "\n", - "To compute the max_achievable_request solve: \n", - "\n", - "$\\frac{S}{1-\\alpha} = \\frac{\\rho S}{(1-\\alpha)\\left(\\beta-\\frac{r}{R}\\right)^2}$\n", - "\n", - "max_achievable_request = $r = (\\beta -\\sqrt\\rho)F$" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": { - "tags": [] - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "min_required_conviction =6783.893932236272\n", - "max_achievable_conviction =108542.30291578037\n", - "\n", - "min_achievable_conviction_as_a_share_of_max_achievable_conviction =0.06249999999999999\n", - "\n", - "max_achievable_request =730.0815000000001\n", - "total_funds =4867.21\n", - "\n", - "max_achievable_request_as_a_share_of_funds =0.15000000000000002\n" - ] - } - ], - "source": [ - "min_required_conviction = trigger(0, funds, supply, alpha, beta, rho)\n", - "print(\"min_required_conviction =\"+str(min_required_conviction))\n", - "\n", - "max_achievable_conviction = supply/(1-alpha)\n", - "print(\"max_achievable_conviction =\"+str(max_achievable_conviction))\n", - "print(\"\")\n", - "print(\"min_achievable_conviction_as_a_share_of_max_achievable_conviction =\"+str(min_required_conviction/max_achievable_conviction))\n", - "print(\"\")\n", - "max_request = beta*funds\n", - "max_achievable_request = (beta - np.sqrt(rho))*funds\n", - "print(\"max_achievable_request =\"+str(max_achievable_request))\n", - "print(\"total_funds =\"+str(funds))\n", - "print(\"\")\n", - "print(\"max_achievable_request_as_a_share_of_funds =\"+str(max_achievable_request/funds))\n", - "\n", - "granularity = 100 \n", - "\n", - "requests = np.arange(0,.9*max_request, max_request/granularity)\n", - "requests_as_share_of_funds = requests/funds\n", - "conviction_required = np.array([trigger(r, funds, supply, alpha, beta, rho) for r in requests])\n", - "conviction_required_as_share_of_max = conviction_required/max_achievable_conviction\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "First set of plots in \"Absolute Terms\" based on alpha, Supply and Funds as above" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "Text(0, 0.5, 'Conviction Required to Pass')" - ] - }, - "execution_count": 7, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "plt.plot(requests, conviction_required)\n", - "ax= plt.gca().axis()\n", - "plt.vlines(max_request, 0, ax[3], 'r', '--')\n", - "plt.vlines(max_achievable_request, 0, ax[3], 'g', '--')\n", - "plt.hlines(max_achievable_conviction, 0, max_request, 'g', '--')\n", - "plt.hlines(min_required_conviction, 0, max_request, 'k', '--')\n", - "plt.title(\"Sample Trigger Function in Absolute Terms; Linear Scale\")\n", - "plt.xlabel(\"Resources Requested\")\n", - "plt.ylabel(\"Conviction Required to Pass\")" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "(0.0, 119396.53320735841)" - ] - }, - "execution_count": 8, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "plt.figure(figsize=(10, 7))\n", - "plt.plot(requests, conviction_required)\n", - "ax= plt.gca().axis()\n", - "plt.vlines(max_request, 0, ax[3], 'r', '--')\n", - "plt.vlines(max_achievable_request, 0, ax[3], 'g', '--')\n", - "plt.hlines(max_achievable_conviction, 0, max_request, 'g', '--')\n", - "plt.hlines(min_required_conviction, 0, max_request, 'k', '--')\n", - "plt.title(\"Sample Trigger Function in Absolute Terms; Linear Scale\")\n", - "plt.xlabel(\"Resources Requested\")\n", - "plt.ylabel(\"Conviction Required to Pass\")\n", - "plt.gca().set_ylim(0, max_achievable_conviction*(1.1))" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "plt.plot(requests, conviction_required)\n", - "ax= plt.gca().axis()\n", - "plt.vlines(max_request, 0, ax[3], 'r', '--')\n", - "plt.vlines(max_achievable_request, 0, ax[3], 'g', '--')\n", - "plt.hlines(max_achievable_conviction, 0, max_request, 'g', '--')\n", - "plt.hlines(min_required_conviction, 0, max_request, 'k', '--')\n", - "plt.title(\"Sample Trigger Function in Absolute Terms; Log Scale\")\n", - "plt.xlabel(\"Resources Requested\")\n", - "plt.ylabel(\"Conviction Required to Pass\")\n", - "plt.gca().set_yscale('log')" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "(3391.946966118136, 217084.60583156074)" - ] - }, - "execution_count": 10, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "plt.figure(figsize=(10, 7))\n", - "plt.plot(requests, conviction_required)\n", - "ax= plt.gca().axis()\n", - "plt.vlines(max_request, 0, ax[3], 'r', '--')\n", - "plt.vlines(max_achievable_request, 0, ax[3], 'g', '--')\n", - "plt.hlines(max_achievable_conviction, 0, max_request, 'g', '--')\n", - "plt.hlines(min_required_conviction, 0, max_request, 'k', '--')\n", - "plt.title(\"Sample Trigger Function in Absolute Terms; Log Scale\")\n", - "plt.xlabel(\"Resources Requested\")\n", - "plt.ylabel(\"Conviction Required to Pass\")\n", - "plt.gca().set_yscale('log')\n", - "plt.gca().set_ylim(min_required_conviction/2, max_achievable_conviction*2)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Second set of plots in \"Relative Terms\" which knock out the dependence on alpha and supply, as well as treating requests as share of total funds." - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "Text(0, 0.5, 'Conviction Required to Pass as share of max achievable')" - ] - }, - "execution_count": 11, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "plt.plot(requests_as_share_of_funds, conviction_required_as_share_of_max)\n", - "ax= plt.gca().axis()\n", - "plt.vlines(max_request/funds, 0, ax[3], 'r', '--')\n", - "plt.vlines(max_achievable_request/funds, 0, ax[3], 'g', '--')\n", - "plt.hlines(1, 0, max_request/funds, 'g', '--')\n", - "plt.hlines(min_required_conviction/max_achievable_conviction, 0, max_request/funds, 'k', '--')\n", - "plt.title(\"Sample Trigger Function in Relative Terms; Linear Scale\")\n", - "plt.xlabel(\"Resources Requested as a share of Total Funds\")\n", - "plt.ylabel(\"Conviction Required to Pass as share of max achievable\")" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "(0.0, 1.1)" - ] - }, - "execution_count": 12, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "plt.figure(figsize=(10, 7))\n", - "plt.plot(requests_as_share_of_funds, conviction_required_as_share_of_max)\n", - "ax= plt.gca().axis()\n", - "plt.vlines(max_request/funds, 0, ax[3], 'r', '--')\n", - "plt.vlines(max_achievable_request/funds, 0, ax[3], 'g', '--')\n", - "plt.hlines(1, 0, max_request/funds, 'g', '--')\n", - "plt.hlines(min_required_conviction/max_achievable_conviction, 0, max_request/funds, 'k', '--')\n", - "plt.title(\"Sample Trigger Function in Relative Terms; Linear Scale\")\n", - "plt.xlabel(\"Resources Requested as a share of Total Funds\")\n", - "plt.ylabel(\"Conviction Required to Pass as share of max achievable\")\n", - "plt.gca().set_ylim(0, 1.1)" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "plt.plot(requests_as_share_of_funds, conviction_required_as_share_of_max)\n", - "ax= plt.gca().axis()\n", - "plt.vlines(max_request/funds, 0, ax[3], 'r', '--')\n", - "plt.vlines(max_achievable_request/funds, 0, ax[3], 'g', '--')\n", - "plt.hlines(1, 0, max_request/funds, 'g', '--')\n", - "plt.hlines(min_required_conviction/max_achievable_conviction, 0, max_request/funds, 'k', '--')\n", - "plt.title(\"Sample Trigger Function in Relative Terms; Log Scale\")\n", - "plt.xlabel(\"Resources Requested as a share of Total Funds\")\n", - "plt.ylabel(\"Conviction Required to Pass as share of max achievable\")\n", - "plt.gca().set_yscale('log')" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "(0.031249999999999997, 2)" - ] - }, - "execution_count": 14, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "plt.figure(figsize=(10, 7))\n", - "plt.plot(requests_as_share_of_funds, conviction_required_as_share_of_max)\n", - "ax= plt.gca().axis()\n", - "plt.vlines(max_request/funds, 0, ax[3], 'r', '--')\n", - "plt.vlines(max_achievable_request/funds, 0, ax[3], 'g', '--')\n", - "plt.hlines(1, 0, max_request/funds, 'g', '--')\n", - "plt.hlines(min_required_conviction/max_achievable_conviction, 0, max_request/funds, 'k', '--')\n", - "plt.title(\"Sample Trigger Function in Relative Terms; Log Scale\")\n", - "plt.xlabel(\"Resources Requested as a share of Total Funds\")\n", - "plt.ylabel(\"Conviction Required to Pass as share of max achievable\")\n", - "plt.gca().set_yscale('log')\n", - "plt.gca().set_ylim(min_required_conviction/max_achievable_conviction/2,2)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Third set of plots are heatmaps to show the simultaneous variation of multiple parameters with a focus on alpha and supply.\n", - "\n", - "Note: that i am using params stored in the supporting files, this won't have changed even if you have edited the plots above" - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "metadata": { - "tags": [] - }, - "outputs": [ - { - "data": { - "text/plain": [ - "{'beta': [0.2],\n", - " 'rho': [0.0025],\n", - " 'alpha': [0.7937005259840998],\n", - " 'gamma': [0.001],\n", - " 'sensitivity': [0.75],\n", - " 'tmin': [1],\n", - " 'min_supp': [1],\n", - " 'base_completion_rate': [45],\n", - " 'base_failure_rate': [180],\n", - " 'base_engagement_rate': [0.3],\n", - " 'lowest_affinity_to_support': [0.3]}" - ] - }, - "execution_count": 15, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "params" - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "metadata": {}, - "outputs": [], - "source": [ - "supply_sweep = trigger_sweep('effective_supply',trigger, params, supply)" - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "metadata": {}, - "outputs": [], - "source": [ - "alpha_sweep = trigger_sweep('alpha',trigger, params, supply)" - ] - }, - { - "cell_type": "code", - "execution_count": 18, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "trigger_grid(supply_sweep, alpha_sweep)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "These plots demonstrate that the trigger functions the share of of max conviction required to pass a proposal remains constant under variations in both alpha and effective supply -- both of these variables scale the the conviction required to pass a proposal and the max conviction possible by the same amount." - ] - } - ], - "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 -}