Aragon_Conviction_Voting/models/v3/Deriving_Alpha.ipynb

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    "# 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"
   ]
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    "## 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"
   ]
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    "## 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"
   ]
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   "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"
   ]
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   "execution_count": 307,
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     "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": 308,
   "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": 309,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Comparing Single Token Staked to Conviction Accumulation Over Time')"
      ]
     },
     "execution_count": 309,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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      ],
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "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": 310,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Comparing Single Token Unstaked to Conviction Decay Over Time')"
      ]
     },
     "execution_count": 310,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "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": 311,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0.0, 10.382760534430746)"
      ]
     },
     "execution_count": 311,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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       "  </rdf:RDF>\r\n",
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      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
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     "metadata": {
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   ],
   "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": 312,
   "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": 313,
   "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": 314,
   "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": 315,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'step_up tokens staked for proposal 1')"
      ]
     },
     "execution_count": 315,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
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     "metadata": {
      "needs_background": "light"
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     "output_type": "display_data"
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   ],
   "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": 316,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Support for Proposal 1')"
      ]
     },
     "execution_count": 316,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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     "metadata": {
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     "output_type": "display_data"
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   ],
   "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": 317,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Conviction and tokens staked for proposals 0 and 1')"
      ]
     },
     "execution_count": 317,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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FVIhW2sJKAfvpjUAzn8mOxPXuXC6C+qmJyLnAg8AZXpfexpgwcv317hrOM88Ed71ZmsW8zfP4etXXTFs7jZ83/Ex6VjoATROa0q1JN67qdBVt67elTf02tKrbirjouOAGWUUUsp+eBLwvIi8CTYDWwFw/iygT5ZacROQDoBdQX0Q2Aom4Wh+xwDfeIetsVb21vGIwxhTPnDnQoUNw1qWq/LzxZz5e8jETlk1g4/6NCELnxp25t+e9nNr8VLo16UbjhMbBCagKKs5+WlWXiMjHwFIgA7hdVTPLLbaKcGbNrjkZExzNm0OfPvDWW+W3jr2H9zJuwThe//V1lu5YSmxkLOe0OoeL211Mv9b9qB9Xv/xWXsUEcs0pXNnJWGPMX5KToUaN8ln2juQdPPfTc4z4ZQQp6Smc2ORE3jjvDS7pcAk1Y2uWz0pNhWXJyRjzl4MHyz457Tu8j6d/eJrhc4dzOOMwl3e8nPt63kfXJl3LdkWmUrHkZIwBIDMTunWDli3LZnmqyidLP+Ger+5h68GtXNHpCv55+j9pW79t2azAVGqWnIwxgGvh4ccfy2ZZmw9s5qZJNzFl1RQ6H9GZiZdP5MSmJ5bNwk2VYMnJGFOmZqydwRUTruBg2kFeOucl7uh+h91rZIrNuswwxgCwahV07OjazyuJLM3iqe+f4qxxZ1Gvej1+ufkX7ul5jyUmUyL2rTHGALBnDyxZAmlpxZ83IyuDGybewLiF4xjSaQijBo6iRkw5VfszVYIlJ2MM4GrqQfFr66VmpHLFhCv4bPlnPH7m4zxy2iNl0i6cqdosORljAHePExQvOaWkp3DBRxcwdfVUXjn3Fe7qcVf5BGeqHEtOxhgg58gpPsD2BNIz07n444uZtmYa/x30X27ofEP5BWeqHEtOxhgA6tWDs85ynfsVRVW5efLNTFk1hdEDR1tiMmXO2tYzxhTbcz8+x9+n/Z1Hz3iUxF6JoQ7HFKAit61nyckYUyxTV0/l3HfP5ZIOl/DhRR9a5YcwVpGTk93nZIwB4MknoV27wqfZcmALV316FR0aduDNQW9aYjLlxq45GWMA2LoVtm8vuDxLs7jm82s4mHaQmRfPJD6mQv4hNxWEJSdjDFB0i+Sj5o1i2pppjBo4ivYN2gcvMFMl2Wk9YwxQeHJat3cdf5/2d85qeRY3d7k5uIGZKsmSkzEGKDw53TnlTlSVMeeNsetMJijstJ4xBoCTT/bfrt7/Vv6PySsn82zfZzmq9lHBD8xUSVaV3BhToLTMNDqM7ECkRLLwbwuJiYwJdUimGCpyVXI7cjLGFGjUvFGs2r2KL4d8aYnJBJVdczLGAHDMMfB//5czfCD1AI/PepxeLXpxbqtzQxeYqZIsORljAHePk+9Z/lfmvMKOlB080+cZqwRhgs6SkzGGrCzXZUZ2bb2DaQd5afZLnHfsefQ4skdogzNVUrklJxF5U0S2i8hin3F1ReQbEfnDew6g/WNjTHk7dMgdNWUnp9fnvc7uQ7v5x+n/CG1gplwVdz8tIg+JyCoRWSEi55RnbOV55PQ2kPdE9TBguqq2BqZ7w8aYEPPtBfdwxmFe+PkF+rbsS/em3UMbmClvbxPgflpE2gOXAx28eUaKSGR5BVZutfVUdZaItMgzejDQy3v9DjATeLC8YjAm2CZPhunT849/4QWIjITx4+GHH3KXRUXB88+71++9B7/8krs8Pt41ygrw5puwcGHu8rp14V//cq9HjoSVK3OXN24MD3q/spdegnXrcpcffTRcdRUMHQqdOsGHiz9k68GtvHvBu4G9aVNhFXM/PRj4UFVTgbUisgroDvxcHrGV631O3pv+QlU7esN7VbW2T/keVfV7ak9EhgJDAWJiYrqmpqaWW5zGlMbhwzB3LrRt65LDyy/nn2bHDoiOhgcegDFjcpfFxsK2be713/4GH3yQu7xuXVizxr2+6ir44ovc5c2b5ySs88+HmTNzl3foAD/+6F737Qvz5uUu79EDvv7avVZVuozuQkZWBgtvXWgVISo4EUkDFvmMGq2qo/NM04IA9tMi8iowW1Xf9cb/F5iiquPLJfZwTU6+7CZcE85Wr4ZWrWDcOJc8KrJvVn/D2e+ezeiBo7m5q7WhV9EFchNuMZLTCODnPMnpS1WdUB6xB/sm3G0i0lhVt4hIY6CQBvqNqRiym/yJqWD3qO47vI9fNv/C7I2zmbNpDnM3zWV78nbqx9XnyuOuDHV4JnQK2k9vBJr5THcksLm8ggh2cpoEXAs84z1PDPL6jSlzFSU5pWWm8dOGn/hq1Vd8teorFm5biOLOnLSr347+rftzQqMTGHDsAOKi40IcrQmhgvbTk4D3ReRFoAnQGphbXkGUW3ISkQ9wF9Xqi8hGIBH3Zj8WkRuB9cAl5bV+Y4IlnJNTZlYmM/+cyQeLP2DCsgnsPbyXqIgoTm1+Kkm9kuh5ZE9ObHoitavVDnWoJgSKs59W1SUi8jGwFMgAblfVzPKKrTxr611RQFGf8lqnMaEQjslpR/IOxvw2hpG/jGTTgU3UiKnB+W3P56J2F9Hn6D4kxCaEOkQTBoq7n1bVJ4Enyy+iHNbwqzGl1LYtfP45HH98qCOB9fvW8/h3jzNu4ThSM1Pp27IvL57zIgOPHWin6kyFYl1mGFMJbE/ezlPfP8Vr815DEK474Tru6nGXdadexVmXGcZUYVu2wG+/wWmnQc2awV23qvLGb29w/zf3czDtINcdfx2JvRJpXqt5cAMxxiNJcmFh5ZqonwayHEtOxpTSTz/BxRe7G2E7dQreetfuWcvNk29m+trpnHHUGbw24DXaNWgXvACM8e8877khcDIwwxs+E9fahCUnY4IhFBUiPl/+OVd/djWC8NqA1xjadSgRYp0MmNDTRL0eQJLkC6C9JuoWb7gxMCLQ5VhyMqaUgpmcsjSLpJlJPDbrMbo37c4nl3xip/BMuGqRnZg824BjA53ZkpMxpRSs5JSSnsKQCUOYuGIi159wPSMHjKRaVLXyXakxJTdTkuRr4ANAcS2afxvozJacjCmlYCSnlPQUBn0wiBlrZ/DKua9wZ/c7rVFWE9Y0Ue+QJLkAON0bNVoT9bNA57eT1MaU0uDBMG0a1K5dPstPSU/hvA/OY8baGbx9/tvc1eMuS0ymovgN+J8m6r3A15IkAd/9bUdOxpTSkUe6R3k4nHGY8z44j2/Xfss757/D1cdfXT4rMqaMSZLcjOv2qC5wDNAUeJ0AWwmyIydjSmnRIvjoI9fNeVnK0iyu+/w6ZqydYYnJVES3A6cA+wE0Uf/AVS8PiCUnY0rp44/hioJaKCuFR2c+ykdLPuLZvs9aYjIVUaomalr2gCRJFBDwXzhLTsaUUlqaqwxRlpeBJq+YzOOzHueGE27g/pPvL7sFGxM830mSPAxUlyQ5C/gEmBzozJacjCml7ORUVv7c+ydXf3Y1XRp3YcSAEVb5wVRUw4AduG7ibwG+1ER9JNCZrUKEMaWUnl52ySkzK5NrPruGLM3ik0s+sfuYTEV2pybqK8CY7BGSJHd744pkR07GlFJZHjm9NPslvl//PcP7DadlnZZls1BjQuNaP+OuC3Rm6zLDmFL680/Yswc6dy7dclbvXk3H1zpybqtz+fTST+10nim1UHSZIUlyBTAEOBX43qcoAcjURO0byHLstJ4xpdSihXuUhqpy25e3ER0Rzav9XrXEZCqyn4AtQH3gBZ/xB4CFgS7EkpMxpTR1Khw8CBcW2otN4cYvHc/U1VMZ3m84TWs2LbvgjAkyTdR1wDrgpNIsx07rGVNKgwbBxo2uw8GSOJxxmPYj2pMQm8BvQ38jMiKybAM0VVYoe8KVJOkJDAfaATFAJJCsiRpQl5x25GRMKZW2QsTwOcNZu3ct31z9jSUmU5m8imuJ/BOgG3AN0CrQma22njGlVJrktPfwXp764Sn6t+5P35YBXSc2psLQRF0FRGqiZmqivoXrDTcgduRkTCmlpUG1Et6O9PLsl9l7eC9PnPlE2QZlTOilSJLEAPMlSZ7FVZII+BSjHTkZU0ppaRAdXfz59hzaw0uzX+KCthfQuXEp66EbE36uxl1nugNIBpoBFwU6c0iOnETkXuAmXCOAi4DrVfVwKGIxprTGjy/ZfK/OfZX9qftJPCOxbAMyJkD+9sVAHPAR0AL4E7hUVfcUd9lerT2AQ0BSsWMLdm09EWkK/AC0V9VDIvIx8KWqvl3QPFZbz1Q2h9IPcdTLR3Fi0xP535D/hTocU0kVVluvoH0x0B7YrarPiMgwoI6qPhjwOpNkEYW0Pq6JelwgywnVNacooLqIpOOy9OYQxWFMqY0ZA82awbnnBj7P2AVj2ZGygwdOfqD8AjOmaP72xQ8Bvbzyd4CZQMDJCRhYFoEVeOQkwmQKy37KoBKvVORu4Enc4d5UVb3SzzRDcb0oEhMT0zU1NbWkqzOmXB11FPTuDW+9Fdj0qkq7Ee1IiE1g7k1zrTUIU25EJA13ui7baFUd7VOeb18sIntVtbbPNHtUtU6wYs5W2JHT897zhcARwLve8BW485AlIiJ1gMHA0cBe4BMRuUpV3/WdztuAo8Gd1ivp+owpb8WtSj5j7QxW7FrB2PPHWmIy5S1DVbv5KyhoX1xWK5YkOUDOAU4MEE1Z3ISryncAIjyuyuk+RZNFmFXCeAH6AmtVdYdbvnwKnExO8jOmQilucnpt3mvUq16PSzpcUn5BGVO0gvbF20SksapuEZHGwPaSLFwTNcF3WJLkfKB7oPMHUpW8gQh/td0vwtFAg0BX4Md6oKeIxIn729gHWFaK5RkTUsVJTpsPbObz5Z9z/QnXW19NJtQK2hdPIqe7i2uBiWWxMk3Uz4HegU4fSIWIe4GZIqzxhlvgejUsEVWdIyLjgd+ADOB3vNN3xlRExUlOb89/m0zN5JZuJf4JGVMmCtkX1wA+FpEbcQmsRIf4kiS+TSFH4JowCvgSTUBVyUWIBdp6g8tVCWrtBKtKbsLZli0QFwe1ahU+narSdkRbjqhxBN9d911wgjNVWogbfvWtIpSBq6swRhM1oNOERR45iRAH3AccpcrNIrQWoY0qX5QkYGMqm8aNA5tuzqY5rNy1kgdPKU6tXGMqJk3U60szfyCn9d4CfiWnb46NuFZmLTmZKi81FZ56yt3jdFIRvdeMXTCW6lHVubj9xcEJzpgQkiQ5GrgTdynor1yjiRrQbUiBJKdjVLlMhCsAVDkkgtV/NQZITobHHoO6dQtPTumZ6Xy05CMuaHcBNWMDqklrTEX3OfBfYDKQVdyZA0lOaSJUx7uQJcIxENxrTsaEq7Q091xUhYjpa6ez+9BuLu9wefkHZUx4OKyJ+p+SzhxIckoEvgKaifAecApwXUlXaExlkp7unotKTp8s+YSasTU5+5izyz8oY8LDK5IkicBUfA5oNFED6jM6kOT0K66ViJ6AAHcDCYXOYUwVEciRU3pmOp+v+JxBbQYRGxUbnMCMCb1OuG4zepNzWk8J8F6nQJLTZKCfKv8DEKEdrkJEx2KHakwlE0hymrF2BrsP7eaS9tYihKlSLgBaaqKmlWTmQJLTU7gmi/rj7nUaC+RrqNWYqqhNGzhwoPDk9Pnyz6kRU8NO6ZmqZgFQmxI2f1RkclLlfyJEA9/gTuedr8ofJVmZMZVNRATUqFFwuaryxR9fcPYxZ1tzRaaqaQQslyT5hdzXnEpXlVyE4eRuaqImsAa4UwRUuatk8RpTeaxZAyNGwK23QuvW+cvnb53Pxv0beazXY8EPzpjQKlUXz4UdOc3LM/xraVZkTGW0bh28+CIMGuQ/OU1eORlBGHDsgOAHZ0wIaaKWqo2uwrrMeKc0CzamKiiqQsTklZPpcWQPGsY3DF5QxoSBcuvP6a8VCK2Bp3H9yv910lw1pxsNY6qqwpLT9uTtzNs8j8fPfDy4QRkTBoLRn9NbwGu4VmXPxNXWGxd4iMZUXtnJKTo6f9n0NdMBrJaeMZRPf07VVZkugqiyDnhUhO8p5cUuYyqDwlqImLZmGnWq1aFr467BDcqYMFDa/pwCSU6HRYgA/hDhDmATYCfQjQEuvxwuuyz/eFXlmzXf0Pvo3kRGRAY/MGNC7zyf19n9OQ0OdOZAktM9QBxwF/A47tTeNQGHZ0wlJ37a6F+5ayUb9m/g4dMeDn5AxoSB0vbnFMg1pxaqHFRloyrXq3IR0Lw0KzWmspg+HYYOda1E+Jq2ZhoAZ7U8KwRRGRN6kiTvSJLU9hmuI0nyZqDzB5KcHgpwnDFVzqJFMGYMZGbmHj9z3Uya12rOMXWPCU1gxoTecZqoe7MHNFH3AJ0DnbmwFiL6Af2BpiL49slRE3f+0Jgqz19VclVl1rpZnHPMOaEJypjwECFJUsdLSkiS1CWwS0lQxISbca1EDCJ36xAHgHtLEKgxlY6/5LRi1wq2J2/njKPOCE1QxoSHF4CfJEnG42rpXQo8GejMhbUQsQBYIML7qqR7jb92BDapsqeUQRtTKaSluQoRkT4V8matmwXA6UedHqKojAk9TdSxkiTzcPc2CXChJurSQOcv8JqTCK+L0MFLTLVwzZ+PBX4X4YrSBm5MZRAZCXXq5K6xN2vdLI6ocQSt6rYKXWDGhJgkSU9ggybqq5qow4ENkiQ9Ap2/sAoRp6myxHt9PbBSlU5AV+DvJY7YmEokMRF27coZVlW+W/cdpx91OuKvjrkxVcdrwEGf4WRvXEAKS06+vReeBXwOoMrWYgTnl4jUFpHxIrJcRJaJyEmlXaYx4WDD/g1s3L+RU5udGupQjAmIv/2xiNQVkW9E5A/vuU5JFq2J+leLEJqoWRSjQkRhyWmvCANF6AycAnzl3ghRQPUSBOrrFeArVW0LHA8sK+XyjAmJUaPg9ttzhudsnAPAyc1ODlFExhSbv/3xMGC6qrYGpnvDxbVGkuQuSZJo73E3rk/AgBSWxW4B/gMcAdzjc8TUB/hfCQIFQERqAqcD1wGoahq5j9KMKZV33oHJk/OPHz/ePb/+OkyblrusWjV49133+qWX4Mcfc5fXqePuZwJ4+mn41au/Os/r9WzECPc8e+NsqkVV47hGx5X+jYTAN9/Avn1w8cXudOUtt+Sf5rrrYOBA2LgR7rknf/mtt0LfvvDHH/CQnzsi770XTjkFFi6Ex/z0wfjww9ClC8ydC88+m7/88cehXTuYNQv+85/cZYry5DOpNGiSzJfTkhn3UTKZEclkSApZkkZWRBo3DU0noVY6P81J4/sf08mSdFcm6aikM/jCNKJi0lmwKJNly7NQFMhCJQsli/79s4iIVBYtyWLtWjce3HQiWfTuk0WWZrF0eRabt2R5UWWBKJGRykknuTHLl8POneoTuRITA127uXHLlilxcTDqykfo3Djg24OKpaD9sYgMBnp5k70DzAQeLObib8XlkH/gautNB24OdObCauutBM71M/5r4OtiBumrJbADeEtEjsdVU79bVZN9JxKRocBQgJiCOssxxo/t22H58oLLt27NXx4Xl/N68+b85Q0a5LzeuDGnvEYNONun0fHZm2bTtXFXoiP9NFNeAbz+OmzZ4pJTerr/7bh7t3tOS/Nfvm+fez582H/5/v3uOSXFf/lB7yrF3v3pLFy3hYy4jaRX30hG9c1kxuwmcc5uopbuZvn63SxruousmD1kRR0kKzKFrKhkPn0vK2dhx+Zf/k9TfQaa5S9f9LN7FgRtIKARiEYAEaARvDFfiJAI0tMiSK/pxkHOdF+uiiBCIth/SDgUk1MuGoFEwLzN7lrkzjQhORLQ7GuTQpQKS7aDiLAlDWJFOJh2MH+QgYsSEd+OY0er6mifYb/7Y6CRqm4BUNUtIlLs9lQ1UbcDl2cPS5JUBwYCnwQyv6gG3EhsmRCRbsBs4BRVnSMirwD7VfWfBc0THx+vycnJBRUbA8Cll7pmhKZMCc360zLTqPl0Te7ofgfPn/18aIIopVNOcUeR06cHZ32H0g/xx+4/WL5z+V+PVbtXsXH/RrYe3OodteQQhNrValO3el3qxdWjbvW61KlWhxoxNYiPjic+Jp746HjiouP+eh0f44arRVUjOiKa6MhoYiJj/nodHeEN53kdIYE0oBPeRCRFVeMLKfe7PwbuVNXaPtPtUdViX3eSJIkEzgau8J5/0ES9OJB5A744VYY2AhtVdY43PJ6Snc80Jpfdu92/9VBZsHUBqZmp9DyyZ+iCKKWtW6FnOYWfpVks37mcORvnMGeTeyzatohMdW0/CUKL2i1oXa81xzU6jqYJTTmy5pF/PRonNKZOtTrWynvZKmh/vE1EGntHTY2B7cVZqCTJ6cAQYAAwF1dvoaUmakqgywh6clLVrSKyQUTaqOoK3DWsgG/MMqYgGRkQFYq/W57ZG2cDVNjkpOqS0xFHlN0ydyTv4KtVX/HV6q+YunoqO1N2AlAztibdm3Zn2KnD6NSwE23rt+XYesdSPbq0da1McRSyP14KXAs84z1PDHSZkiQbgfW4auMPaKIekCRZW5zEBIF10343rjfcA8AbuIb7hqkytdAZC3cn8J6IxOBqb5SqaXVjwCWnatVCt/65m+fSuEZjjqx5ZOiCKIWDB911oEaNSrecfYf38emyT/lwyYdMXzOdTM2kYXxDzm11Lr1b9KbnkT1pU79NpThtVkn42x9HAB+LyI24RHNJMZY3ATgfuAzIlCSZSDE6GcxW5DUnERaocrwI5wC3A/8E3lKlS3FXVlJ2zckEomdPqF0bvvoqNOvvMLIDx9Q5hklXTApNAKWUnu5qITZpAs1L0CnO4u2LGT5nOO8uepeU9BRa1mnJ5R0u58J2F9K5cWdLRiFQ1DWncltvkgiu778rcA2I1wRuBL7URA2ohkcgJ0Gyq5L0xyWlBSLYre8m7Jx7rqs9FwrJacks37mcS9oX5w9meImOLtn1ptkbZ/PPb//JtDXTqBZVjSs7XcnQrkM5scmJ1kpGFeXdfDsDmCFJEo2r+X0FMBKoH8gyAklOv4owFTgaeEiEBCCriHmMCbpHHw3duhduW0iWZtGlcdBOKJS55cthzhy48EJISCh6+sXbF/PIjEeYtGISDeIa8EyfZ7ipy03Ui6tX/sGaCkMTNR2YDEz2qpMHJJDkdCNwArBGlRQR6mHXiIzJ5bctvwFU6OQ0bRrceSf061d4cjqccZjHvnuMZ398lviYeJ448wnu7nk3NWJCdNhqKgxN1EOBTltkclIlS4RtQHuv6SJjwtLxx8Nxx8G4ccFf929bfqNhfEOaJjQN/srLyNatrpX1eoUc+Py4/kdumHQDK3et5PoTrue5s56zIyVTLgKprfdvXK2LpUB2Z9QKzCrHuIwptpQUyArRCedft/xKl8ZdKvQ1lm3boGHD3H1TZVNVXvj5BR6c9iDNazVn6lVTOeuYs4IfpKkyAjkSOh9oo0pqOcdiTKmE6j6n3Yd2s2THEga0HhD8lZehrVv9VyNPSU/hpkk38cHiD7i4/cW8OehNEmIDuChlqjRJkmOBB4Cj8Mk1mqi9A5k/kJ/yGiAaLDmZ8BaK5LT5wGbOefccIiSCwW0HB3flZczfDbjbk7dzzrvnsGDrAp7q/RTDTh1WoY8OTVB9ArwOjCHnrFvAAvkppwDzRZiOT4JS5a7irsyY8hTs5LRq9yrOHnc2O1J2MOXKKXRv2j14Ky8HEye6xlyzbTu4jd5je7N2z1q+GPIF/Vv3D11wpiLK0EQNuHPBvAL5KU/yHsaEteuucxUigmH5zuX0ersXmZrJt9d+S7cm3YKz4nLUpEnO6y0HttB7bG/W71vPlCuncEaLM0IXmKmoJkuS3AZ8hu+BTaLuDmTmgFolF6E60FyVFSWNsjSshQgTTtbvW88pb55CemY6M6+bSdv6bVm3DnbudEduxx/vplu1Kqf7iGyxsdCxo3u9YkVO9xDZqleH9u3d62XLXCUPXzVqQJs27vXixZCa52R7rVrQqpV7vXCha/XBV5060LKle/377zkVSFJT4dtvYfBgaHT0Dk576zQ27t/IlCuncNpRpwW+cUxYCVULEQCSJGv9jFZN1JYBLUBVC32Ange6AnStN3wC6KSi5ivLR1xcnBpTlNRU1czM8l3HvsP7tP2I9lrr6Vo6f8t8VVXdtUs1MlIVVBs1ypn2vPPcON9Hq1Y55b165S/v3DmnvGvX/OWnn55T3qZN/vIBA3LKmzTJX37ZZTnlCQn5yz8Yn6InvXGSVnuims76c1YZbz0TbECyBnFfXZaPQE7rPQp0x/WEiCrzRTg6oMxnTBDVrAl33w3//nf5LD8zK5PLx1/Oyl0r+fqqrzn+CHeItGMHZGbC/ffDWT61q//xD7g5T7+f8T7/YZ980vU266tWrZzXL76Y/8irbt2c16+9lv/Iq6FPl3Bvv52/C5H6jVJZumM1K3et5IpX1rHj8CZ2p29md/om9mRs5qYVm0hJT+GTSz6xIyZTKl6zRX/D9bQLLoeM8lqMKFIgySlDlX15KugEt4dCYwJQ3hUiHvvuMaasmsLrA16n99E5tWGzE8Rpp+XuFbd7EfUjTj658PLTTy+8/MwzCy5TVY49cT3zNs9j3uZ5/L71d1buWsm639eRpTk3g8VGxtIkoQlN6jShXc0TaFKjP31a9mHgsQMLX7kxRXsNV9N7pDd8tTfupkBmDuSnvFiEIUCkCK2Bu4CfShCoMeVG1R29lFdymrZmGo/PepzrTriOW7rdkqtMBNq2LbxlhfKmqizZsYRpa6Yxfe10Zm+c/VffSVERUXRs2JGeR/bkmuOv4dh6x3JsvWNpUbsF9arXs6rhprycqIl6vM/wDEmSBYHOHMhP+U7gEVxti/eBqcBjxQrRmHKW6d1FUR7Jafeh3Vz92dW0rd+WV/u9mq+8SxdXeSHYMrIy+H7d90xYNoHPln/G5gObAWhVtxXnHXse3Zp048QmJ9KpUSeqRYWwoytTVWVKkhyjiboaQJKkJcW43ymQn/IVqjyCS1AAiPAM1rW6CSPlmZzunHInO1N28uWQL4mPCUnFp1zW7FnDmF/H8Nb8t9iWvI3qUdXp17ofA1sPpE/LPjSvVYLOmIwpew8A30qSrMF1vXQUxWg0PJCf8sUiHFblPQARRgD2N8yEFREYNgxOOqlslztpxSTeX/Q+Sb2S6Ny4s99pJk6E55+HTz+FBg3Kdv2+vl/3PU//8DRfrfoKEWHgsQO5+rir6deqX1gkTWN8aaJOlyRpDbTBJaflmqgBtzQUSE+41XE34b4J9AN2q3JPiSMuAbvPyYRCcloyHUZ2ICE2gd+G/kZ0ZLTf6f7zH1dLcNeu3LXpysr3677n0e8eZcbaGTSMb8ht3W7jxi43Vtju4E3whOI+J0mS3pqoMyRJLvRXron6aSDLKfDISQTfn9lNwOfAj8BjItRVJaC7fI0Jhqws2LvXVdWOjS2bZT75/ZOs27eO76//vsDEBDm19cq6F97NBzZz79f38vGSj2kU34gXz36RW7rdQlx0XNmuyJiydQauF9zz/JQpULrkBPzqLUh8ngd4DwUCu8vXmCDYscM1WjpyJPztb6Vf3p97/+SFn1/gmuOv4dTmpxY67cGDrovzmJjSrxcgS7MYMXcEj8x4hLTMNJJ6JXH/yfdbUjIVgiZqovfyMU3UXK1ESJIEfI9sgclJ1W60NRVHRoZ7LqsKEf+Y8Q8iJIInez9Z5LQHD5bdUdPOlJ1c9elVfL36a84+5mxG9B9Bq7qtymbhxgTXBCBv19Djga6BzBxIZ4P+7/JVArrL15hgKMvk9PuW33lv0Xs8dOpDAV3Xadq0bCpi/LThJy4bfxk7knfw+oDXGdp1qN2DZCocSZK2QAegVp7rTjUpRmW6QH7KpbrL15hgKMvklPRdErWr1ebvp/w9oOkffNA9SmPsgrHcOOlGmtdqzk83/kSXxnn/cBpTYbQBBgK1yX3d6QBws78Z/CmsQkSUKhnAiarkvstXCPguX2OCoayS0/yt85m4YiKPnvEotavVLnVcgRg+Zzh3fXUXfY7uw4RLJ1CrWq2iZzImTGmiTgQmSpKcpIn6c0mXE1FI2VzvOVOEY7JHilCsu3wLIiKRIvK7iHxR2mUZU6+ea0i1tP05PTHrCWrG1uTunncHPM9VV8HQocVfl6ryxKwnuOuruzi/7fl8MeQLS0wm6PLui0Wkroh8IyJ/eM91SrjoWyVJav+1niSpI0nyZqAzF5acsk923w98K8JMEWbiqgj+XwkCzetuIASNvpjKqH59ePhh6NCh5MtYtXsVny77lDtOvKNYR01Ll8KWLcVf3xOznuCf3/6Tq4+7mk8u+cSaGDKhkndfPAyYrqqtgemUvDWg4zRR92YPaKLuAfzfye5HYcmpgQj3AScAo3BJaTKuP/iAV+CPiByJq5L+RmmWY0y21FRYtw4OHSr5Ml6Z/QpREVHc0f2OYs1Xktp6o+aN4l8z/8XVx13N2+e/TVREEPuXN8ZTwL54MPCO9/od4PwSLj5CknKOuiRJ6hJYPQcoYsJIoAY5R1B4wwAJxYnQj5eBvxe2HBEZCgwFiCmrG0hMpTV/PvTsCV9+Cf36FX/+vYf38tb8txjSaQiNExoXa97k5OIlp29Wf8NtX95G/9b9+e+g/xIhhf1HNKZUokRkns/waFUd7TP8Mvn3xY1UdQuAqm4REZ9eworlBeAnSZLx3vAlQNH3ZngKS05bVMu+9XERGQhsV9VfRaRXQdN5G3A0uOaLyjoOU7mUtkLEm7+/SXJ6Mvf2vLfY8x48mLsTwcKs2r2Ky8ZfRvsG7fnwog8LbXnCmDKQoard/BUEui8uKU3UsZIk84DeuIOcCzVRlwY6fyDXnMraKcAgEfkT+BDoLSLvltO6TBVRmuSkqoz6dRSnNDvlr95ti+P006Fjx6KnS81I5bLxlwEw6fJJJMSW9gSEMaVS0L54m4g0BvCetxdnoZIkNb3nusBWXFdL7wFbvXEBKSw59SlOQIFS1YdU9UhVbQFcDsxQ1avKY12m6ihNcpq1bhYrd61kaNcSVLkDJk+GmwK46+/BaQ/y25bfePv8tzm6jjXAYkKrkH3xJOBab7JrgYnFXPT73vOvwDyfR/ZwQAprvsgadjUVRmmS06hfR1G7Wm0uaX9J2QblY8baGbwy5xXu6n4Xg9oMKrf1GFMGngE+FpEbgfW4a0UB00Qd6D2X6h9YkV1mhAPrMsMUZd0616/SpZe6BmADtffwXo54/ghu7nIzw/sPL/Z616+Hk0923WZc6LeDADiQeoBOr3UiNiqW+bfMp3p09WKvx5iSCEWXGX+tO0km4k4XTtRETSnu/FZ/1VQKRx0Fd91V/PnGLx1PamYq155wbdET+7F/P2za5LrsKMi/vv0X6/et5/vrv7fEZKqSF4HLgGckSeYCHwFfaKIeDmRmq8NqKoV9+2DJEjgc0Nc+x7sL36VNvTZ0bRxQQ8n5FNWX06Jtixg+dzhDuw7llOanlGgdxlREmqjfaaLehuteaTRwKcWoXGHJyVQKX3/tasytWRP4POv3ree7dd9x1XFXlbj178KSk6pyxxTX2kQgXW8YU9lIklQHLgJuBU4k5+beItlpPVMplKRCxIeLPwRgSKchJV5vdnLyd5/TpBWTmLVuFq8PeJ16cfVKvA5jKiJJko+AHsBXwAhgpiZqISfAc7PkZCqFkiSn8UvH061JN1rWKXmnzg0bwsUXQ4MGeeLJyuDhGQ/Tpl4bbuxyY4mXb0wF9hYwRBO1RA2FW3IylUJxk9P6fev5ZfMvPN3n6VKt9+ST3SOvcQvGsXTHUiZcOsHazTNVkibqV5IkJ0uStMAn12iijg1kfvvVmEqhuMnps2WfAXBRu4vKPpasDJ78/km6Nu7KBW0vKPPlG1MRSJKMA44B5pPTzZIClpxM1XHGGfDmm1C7dmDTT1g2gU4NO9G6XutSrfeJJ+DFF2HnTojwqhd9uPhDVu9ZzeeXfW7drJuqrBvQXhNLdjOtJSdTKbRp4x6B2JG8gx/W/8C/zvhXqde7d6/rriM7MWVpFk99/xSdGnbivDbnFTqvMZXcYuAIoAS9nVlyMpXEpk3uPqe6daGb1wbz3LmQkue+9Lp1YSFfoyjNDg1k5szc5Q0bQvv27vX330Nmnku5jRvnJMGZM+GPP3JXI5/yxxSW7VzG+xe+b11hmKquPrDUuwE3NXukJmpA7XdZcjKVwnvvwYMPQvPmrikjgGuugRUrck/Xvz/UvOF/NIpvxD9v6sKWzbnLL7sMPnQ1zBkwAA4cyF1+000wZox7feaZ7rlTp5zyl+e8TNOEplzc/uKyeWPGVFyPlmZmS06mUsiuEOHbBOPYsfmPnGrWzqDv118zuO1gbv4kgrS03OUNfbpV+9///B85Zfv2W/fc2rtstWT7EqatmcZTvZ+yfppMlaeJ+p0kSSPczbcAczVRA24hwpKTqRSyk5PvUUz37vmn+2H9bPYc3sOA1gM4uX3hyzzttMLLe/XKPTx87nCqRVUrcdcbxlQmkiSXAs8BM3H9Aw6XJHlAE3V8oTN6LDmZSiE7OVUvol3VKX9MIVIiOavlWWW6/oNpB3l/0ftc2uFSaw3CGOcR4MTsoyVJkgbANCCg5GRXbE2lkJEBIlCtWuHTTVs7jR5H9qBWtVpluv6Pl3zMgbQD3Nzl5jJdrjEVWESe03i7KEbOsSMnUykMGeKqc59zTsHT7D28l3mb5/HIaY+U6bpVlTG/jaFt/bac0sxaHjfG85UkydfAB97wZcCUQGe2IydTKXTs6G6ILew60Xd/fkeWZtHn6D5lss7MrEzGLRjHca8fx+yNs7ml6y12060xHk3UB4BRwHHA8cBoTdS/Bzq/JSdTKSxbBi+/7O47Ksj0tdOpHlWdnkf2LNW6sjSLDxd/SIeRHbjm82sQhDcHvcldPUrQ26ExlYwkSStJklMANFE/1US9TxP1XmCXJMkxgS7HkpOpFIYPh/vug5EjC55m+trpnHbUacRGxZZ4Pb9v+Z0eb/TgiglXEBURxYRLJzD/1vlc3/l6u+nWGOdl4ICf8SleWUDs12QqhYwMUC24QsS2g9tYumMpvVv0LtHyk9OSeWDqA5w45kQ27NvAuAvGseDWBVzY7kJLSsbk1kITdWHekZqo84AWgS7EKkSYSiE93T0XlJx+WP8DAGe0OKPYy16yfQkXfnwhK3et5OYuN/Pvvv+mTvU6JQ3VmMqusDqzRdzskcP+8plKIdVruauw5FQtqhpdGncp1nI/XPwh3d/ozr7D+5h+zXRGnzfaEpMxhftFkiTfPRWSJDcCvwa6EDtyMpVCkUdOG36gR9MexETGBLS8LM3iwW8e5Pmfn+eUZqfw8SUf0yShSRlFa0yldg/wmSTJleQko25ADBBwB2eWnEylMGyYa65okJ/2jg+mHeT3Lb8z7NRhAS0rMyuTW7+4lTd+f4Pbut3Gy+e+bG3lGRMgTdRtwMmSJGcCHb3R/9NEnVGc5QQ9OYlIM1xPiEcAWcBoVX0l2HGYyqVrV/fwZ/bG2WRqJqc1L6KxPFwvttdPvJ53F77LI6c9wuNnPm73LplKq6D9sYjUBT7CVWD4E7hUVfcUZ9maqN8C35Y0tlBcc8oA/k9V2wE9gdtFpIgmOI0p3Ndfw2OPwRY/3Zr9sP4HIiSCk5qdVOgyMrMyufLTK3l34bs8ceYTPNH7CUtMprIraH88DJiuqq2B6d5wUAU9OanqFlX9zXt9AFgGNA12HKZyefxxSEx0HQzmNXvjbDo06EDN2JoFzq+q3Pv1vXy85GP+3fffPHJ62TZxZEw4KmR/PBh4x5vsHeD8YMcW0tp6ItIC6AzM8VM2VETmici8jOwmp40pQHa/THkrRKgqczfNpUfTHoXOP3zucIbPHc59Pe/j76cE3MKKMeEuKns/6j0K7M8lz/64kapuAZfAgIYFzVdeQlYhQkRqABOAe1R1f95yVR0NjAaIj4/XIIdnKpiCauut2r2KPYf30OPIgpPTt2u/5b6v7+P8tufz3NnPlWOUxgRdhqp2K2qivPvjcDidHZIjJxGJxm2I91T101DEYCqX7OQUm6dlormb3Hm+7k399DwIbDmwhcvGX8ax9Y5l7PljrbUHU+UUsD/eJiKNvfLGQMA92JaVoP8SxaXk/wLLVPXFYK/fVE7ZZ37zHjnN2TSHuOg42jfIX+cmS7O4buJ1HEw7yPhLx5MQmxCESI0JH4XsjycB13qvrwUmBju2UJzWOwW4GlgkIvO9cQ+r6pchiMVUEmPGwNq10KpV7vFzN82lW5NuREXk/6qPmDuCqaun8vqA1/0mL2OqAL/7Y+AZ4GMRuRFYD1wS7MBENfwv58THx2tycnKowzAVTFpmGglPJ3BX97vyXUv6c++fdBjZgV4tevHFFV9YlXFTKYlIiqrGhzqOkrAT7KZSGD4cHn4YDh/OGbdo2yLSMtM4semJuaZVVW754hYiJILXBrxmicmYMGTJyVQKTz4JTz+dOznN3zofgM5HdM417YRlE5i6eipP9X6K5rWaBzFKY0ygLDmZSiEz0z37Voj4fevvJMQkcEzdnM43D6Uf4v6p99OpYSf+duLfghylMSZQ1vCrqRSyk5NvVfLft/7O8Uccn6t6+Is/v8i6fev49tpv/VaSMMaEBztyMpVCZiZERED25aPMrEwWbF2Q65Te7kO7efanZxnUZhC9WvQKTaDGmIBYcjKVQmYmREbmDK/avYrk9ORcyenZH5/lQOoBnjjziRBEaIwpDjuvYSqFL7/M6Q0X3Ck9gM6NXXLanryd/8z5D0M6DaFTo06hCNEYUwyWnEylcPrpuYfnb51PdET0XzfXvjL7FQ5nHOafp/8zBNEZY4rLTuuZSuH22+HRR3OGF25bSPsG7YmJjGF/6n5G/DKCC9tdSJv6bUIWozEmcJacTKUwahSMHJkzvHj74r9O342aN4p9qft46NSHQhSdMaa4LDmZSiErC6K8k9T7Du9jw/4NdGzQkYysDF795VXObHEmXZsU0I+7MSbsWHIylYIqREe710t2LAGgY8OOTF4xmfX71nNn9ztDGJ0xprgsOZkKLyvLPWcnp8XbFwMuOb36y6s0r9Wc89qcF6LojDElYcnJVHjZrUP4JqcaMTVISU9hxtoZ/K3b36w1CGMqGPvFmgovKgrmzoUaNdzw4u2L6diwI2/Pf5tIieT6E64PbYDGmGKzIydT4YnAiSdCu3ZuePH2xbRv0J6xC8cy4NgBNKrRKLQBGmOKzZKTqfAOHYL+/V2fTtuTt7MjZQeREsnWg1u54YQbQh2eMaYE7LSeqfCSk2HKFEhJgU7nLQVg2Y5lNIxvSP/W/UMcnTGmJOzIyVR4GRnuOSYGlu9cDsAvm3/hsg6XER0ZHcLIjDElZcnJVHjp6e45NhZW7FxBTGQMqZmpXN7x8tAGZowpMTutZyq8lBT3HBsLy3ctp1pUNY6ocQQ9j+wZ2sCMMSVmR06mwvNNTkt3LOVA6gEu63BZrh5wjTEVix05mQqvUydYvRpiaxyi2WsbUJRL2l8S6rCMMaVgfy1NhRcVBS1bwi79A0WpU62ONfJqTAUXkuQkIueKyAoRWSUiw0IRg6k85s+Hnj3hrS8XAtC3ZV87pWdMAMJ5Xxz0X7CIRAIjgH5Ae+AKEWkf7DhM5bFkCcyZA9+s/QqAKztdGeKIjAl/4b4vDsU1p+7AKlVdAyAiHwKDgaVlvaK+Y/sy/Y8f8o0XcffEAKSm5p+v1OUREBMNCqT5KY+IcI2UqkJaWsHlWQrp/sojITrKtcadXY3aV2SkO9WVmQUZ/sqjICrSNZiafY+Qr6got4yMTMj0Vx4NkRFu3uxGV31FR7v3kJ4BWf7KYyBCXOzZLYr7iolx27jA8lgQIC0dNLv8H7AkMg1B6Ne6X/6ZjDF5BW1fXBKhSE5NgQ0+wxuBHnknEpGhwFCAmOxMUNwVJTQlOr1+vh1odDTUr+1ebzuQfwcYEwP14tzrrftdEvEVGwt1vfIt+3FZyEe1alAnzs23dV/+uKpXh9pxbse+fX/+8rg4qBXnds47/ZTXqAEJcS6x7TrgpzwBasTB4cOwx095Qk2Ij3O13PYdzF9es7aLMTkZ9h/OX16runuPBw/AAT/ltePdNty/H5L9lNdNcAlw3z5I8VNer5ZLbnv3wiE/5fVru+S1Z497j+CGGyTA2a37EBNZsu+LMZVQlIjM8xkeraqjvdcB7YtDJRTJSfyM03wj3AYcDRAfH5+vPBDvXPAO71xQkjmNMaZSyFDVbgWUBbQvDpVQXDXeCDTzGT4S2ByCOIwxpioL631xKJLTL0BrETlaRGKAy4FJIYjDGGOqsrDeFwf9tJ6qZojIHcDXQCTwpqouCXYcxhhTlYX7vlg079X+MBQfH6/JycmhDsMYYyoUEUlR1fhQx1ESdqeiMcaYsGPJyRhjTNix5GSMMSbsWHIyxhgTdipEhQgRyQIOlXD2KMBPIzwhF65xQfjGZnEVT7jGBeEbW2WLq7qqVsiDkAqRnEpDROYVcod0yIRrXBC+sVlcxROucUH4xmZxhY8KmVGNMcZUbpacjDHGhJ2qkJxGFz1JSIRrXBC+sVlcxROucUH4xmZxhYlKf83JGGNMxVMVjpyMMcZUMJacjDHGhJ1KnZxE5FwRWSEiq0RkWAjjaCYi34rIMhFZIiJ3e+MfFZFNIjLfe/QPQWx/isgib/3zvHF1ReQbEfnDe64T5Jja+GyT+SKyX0TuCdX2EpE3RWS7iCz2GVfgNhKRh7zv3AoROSfIcT0nIstFZKGIfCYitb3xLUTkkM+2ez3IcRX42YV4e33kE9OfIjLfGx/M7VXQ/iHk37GQUtVK+cA1Ab8aaAnEAAuA9iGKpTHQxXudAKwE2gOPAveHeDv9CdTPM+5ZYJj3ehjw7xB/jluBo0K1vYDTgS7A4qK2kfe5LgBigaO972BkEOM6G4jyXv/bJ64WvtOFYHv5/exCvb3ylL8A/CsE26ug/UPIv2OhfFTmI6fuwCpVXaOqacCHwOBQBKKqW1T1N+/1AWAZ0DQUsQRoMPCO9/od4PzQhUIfYLWqrgtVAKo6C9idZ3RB22gw8KGqpqrqWmAV7rsYlLhUdaqqZrckMBvXu2lQFbC9ChLS7ZVNRAS4FPigPNZdmEL2DyH/joVSZU5OTYENPsMbCYOEICItgM7AHG/UHd4pmDeDffrMo8BUEflVRIZ64xqp6hZwPxygYQjiynY5uXcYod5e2QraRuH0vbsBmOIzfLSI/C4i34nIaSGIx99nFy7b6zRgm6r+4TMu6Nsrz/6hInzHyk1lTk7iZ1xI682LSA1gAnCPqu4HXgOOAU4AtuBOKwTbKaraBegH3C4ip4cgBr/EdR09CPjEGxUO26soYfG9E5FHcG2xveeN2gI0V9XOwH3A+yJSM4ghFfTZhcX2Aq4g95+goG8vP/uHAif1M67S3RNUmZPTRqCZz/CRwOYQxYKIROO+eO+p6qcAqrpNVTNVNQsYQwgOzVV1s/e8HfjMi2GbiDT24m4MbA92XJ5+wG+qus2LMeTby0dB2yjk3zsRuRYYCFyp3kUK7xTQLu/1r7jrFMcGK6ZCPrtw2F5RwIXAR9njgr29/O0fCOPvWDBU5uT0C9BaRI72/oFfDkwKRSDe+ez/AstU9UWf8Y19JrsAWJx33nKOK15EErJf4y6mL8Ztp2u9ya4FJgYzLh+5/s2GenvlUdA2mgRcLiKxInI00BqYG6ygRORc4EFgkKqm+IxvICKR3uuWXlxrghhXQZ9dSLeXpy+wXFU3Zo8I5vYqaP9AmH7HgibUNTLK8wH0x9V8WQ08EsI4TsUddi8E5nuP/sA4YJE3fhLQOMhxtcTV+lkALMneRkA9YDrwh/dcNwTbLA7YBdTyGReS7YVLkFuAdNy/1hsL20bAI953bgXQL8hxrcJdj8j+nr3uTXuR9xkvAH4DzgtyXAV+dqHcXt74t4Fb80wbzO1V0P4h5N+xUD6s+SJjjDFhpzKf1jPGGFNBWXIyxhgTdiw5GWOMCTuWnIwxxoQdS07GGGPCjiUnY/IQkdoicpv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     "metadata": {
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   ],
   "source": [
    "fig, ax1 = plt.subplots()\n",
    "\n",
    "ax2 = ax1.twinx()\n",
    "ax1.plot(time, np.sum(mimo_step_up, 1), 'b--')\n",
    "ax2.plot(time, mimo_step_up_response, 'g-')\n",
    "\n",
    "ax1.set_xlabel('time')\n",
    "ax1.set_ylabel('Tokens Staked', color='b')\n",
    "ax2.set_ylabel('Conviction Accumulated', color='g')\n",
    "\n",
    "plt.title('Conviction and tokens staked for proposals 0 and 1')"
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  },
  {
   "cell_type": "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": 318,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'step_down tokens staked for proposal 1')"
      ]
     },
     "execution_count": 318,
     "metadata": {},
     "output_type": "execute_result"
    },
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      "text/plain": [
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     },
     "metadata": {
      "needs_background": "light"
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     "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": 319,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Support for Proposal 1')"
      ]
     },
     "execution_count": 319,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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     "metadata": {
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     "output_type": "display_data"
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   ],
   "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": 320,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Conviction and tokens staked for proposals 0 and 1')"
      ]
     },
     "execution_count": 320,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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     "metadata": {
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   ],
   "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",
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    "\n",
    "plt.title('Conviction and tokens staked for proposals 0 and 1')"
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  {
   "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."
   ]
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   "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": 321,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Support for Proposal 1')"
      ]
     },
     "execution_count": 321,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
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Z6KWyN021IwGRmJHhM7Dz1ZJ4TyKJIxWlpaWdrCJQyQeHwi1+++239+4JDg26m7MvE0JMQF3JMuD7vXHy3sym+xTYq10spXwAeKC3xnBEIrJAMwNJyyiJJHod0YShJHrEXubsXknl7ohk0OIQwy7slNhKcGudi+aSSCKJg4v0lHT1jyQhHfFIktEhhkt30cfWB93SD/dQkkji648ICX3dvf9fByTJ6BAjVU9lW3Abvhbf4R5KEkl87eEP+pNW0VcEyRYShxiz+s3iuaXP0dzUrDTqkkjia4gFH0Jz88E7XmYmzD5h3/ezpArSir2Hr4GvRguJF198kdtvv50NGzawZMkSJk+efFDPfTiRJKNDjCGZQ/hF7i9wpboO91CS+IZhx8c7qNlSw9HfPbrXz9XcDFlZB+94TU37t19BeoHK0+2Bi6ItJM4888wYGd1xx96lMidPntwrZPDkk08yZsyYLslozJgxvPLKK3z/+72S0HZYkXTTHWI8tPwhVvpXohkdLv1SVF5h0qWQRC9hzr/m8PY/3gbP4R7JwcdeW0j86w6mzPp6tJAYOXIkw4cPPyTX9FDjG09G0pKsm7cOyzg0RXGptlSW+JdQ1xAvMrFn/R42vLIBDp4ifBJJxEMCPghsD/S46VcRXbWQqG2p5YKLLmDR/EVfixYSX2d848lo++LtvHjni6x6dFXvn0zCyX1PpslsoqGhIe6jR955hOd3P5/UrEui13Dh1AvBhJatHSUivx7oqoWEaZosWrqI6SdPT7aQOMLxjSejFD0FAuCuOgQrEKn6GSE7F71OHDhRrVyTqiVJ9BIynZlgQvOOg5hZcAShqxYORtjgtj/fxstzXmbNmjVcd911h62FxMqVKyksLOy2hURXSuDfJHzjyUi3dLDADPa+SRIOhnlwzYMAGP74Gy/dlY6wRJKMkug1LN+2HKyvLxntrYVEbk7u16KFxNcZ3/hsui3btoAFtU21vX4uK2zFEhTMcDz5ba3YipQSacqE0lCTSGJfYcMGEpp39z4ZZWbufwZcd8frCV21kGgqb+Ky8y9j7PSxDBw88CvfQmLu3LncdNNN1NbWcsYZZzBhwgTefffdni/OVwC92kKiN3CwW0ise3kdL/72RU6acRIzHp5x0I7bFfwNfv5y6l9gG5x18Vkc9Z+jYp/dftHtsBR+9/7v0IYeuMEqLfW7Ci1JbElE8Ajc83/30L+0P+cvOv+gHvpIbSFRsbkCfJBbnIuzwNnN3geOr0sLicOJb7ybrn9uf7DARe/X/ViGFRNu7OQWjLxvhfbRT/cKqg1WBzz044f4w9l/2M+RJvG1hAGDHIPI8mZ9c0oIZIf/J3HE4hvvphOGitOYod6PGbVPHzdCHXzOUTIK7xsZPfPqM+Rsz+G0C06Le7+qogq2oAr+vjnZob2G1+9+neXvL+f2d27vsYDySMULS18gS8/iBOcJEIRDsP46ZOiuhUQMvUxGX5MWEocV33jLaNHKRWB1QQ69gJhlJLogv/0koy1VW1hbv7bTwza2eCw5Wk4yVfwgYfmXy1Unl+rDPZL9R21zLc1WMxhA4+EezSFCUij1K4NvPBnJsAQr8v9ehmW2EU3HBIYoGUlDQgCoSvCgJnhD3k6ko1u6Ol+SjA4KCjMK1bX8CmffmobJ5sBm/l79d1q2fD1rjZL46uIbT0aWYYEF/d39e/1cZtgECaelncaMvA7JEtEmYCbsfmM3b33vLYz6BGY+CwY6B0I4/u2VO1fSFGr6SpPR8v8u54vHvzjcwwCUxtlX3dI0DZNsZzZDnEMSX+x8xZHnzlP/SBpGRzy+8WRkhAzStDT6p/Q+GUVdcGl6GjYjPlzXP7s/Ax0Dcdvd1NfVs2rLKrzL27IGn7vpOe498142/W1T3ITo1tzka/mdV+wGqmbpK1y39PpLr/P2X9/uRLSHAw3NDTQEGw6JBd1bMMMm/VP7c07mOWQ0Zhzu4fQ+JAipAnxJN92Rj298AkM4GMZv+PH5fL3e0sFpdzI2ayyrq1aj1WqMpC310jIt7NjBgOKcYi7OvZjMxrbiirJ1Zbi3uEktS4WZQER42R/0s6p1FaeHT48717SSaazYuOIrvZLHArxgVBjYBhzeW3VP3R6QYPgM9TsdaphAK5AV/7a0JFWrqyiaUNTzIUwT3a4jNYncLdF6cy36O2DXQTxef2DvItqdIKWkIRCR3UqAi74KLSR+/vOf8/rrr+NwOBg8eDBPPPEEWQdTHv0w4htvGYWDYUzT5OM9H/f6uTLTMrmg9AKqjCp2tOyI+6y8vpxtgW20tLTw5eYveaHqBRUwj8A0TEakjqCvvS+0l7WzIGgEO1lGmqlhWV/xmFHEbdm4+vBH23NScsACXR6mDr2rgT8CTfFvf/7y5zx0w0Ps/LDnyn7TMBG64I/Vf+Tjdb18v+8CSg/iaz+ITVoSiSoi17W9/27RFhLr16+PvXfHHXd0S0SgWkgcbCICRUYVFRVdfnbyySezdu1aVq9ezbBhw7jzzjsP+vkPF77xZGSEDJAwJm1M75/MAiT8NO+nnJ4fb8mcN/Y8SuwlCFNgmRZBMxiTHwFlOTXJJuY2zaWmQkl7S0u2ueI6uLIW7VhE2Ax/pclIQwMLGtcdfjJK1VMZZB+EZmpISx4ylfcoFn++mLvfuRtzY/wPWl9dD61Q83nPcu+mYWLX7dh0G/5Wf4/bf5XQVQuJgD9AH3cfHnnkEaafPv1r0ULilFNOiYm0Tps2jfLy8kNyfQ8FvvFkFA6HKbWV0tfRt9fPtbt8N39a+Sd2hHd0Io/xfcZzXe51pLvTY1l3O3Yq60laEtM0MTWTnaGd+BvVDWoEjJi4qhWInxwdwsExKcccUWS0+qXVNGxr6HnDCArSCii1lzKsZVgvjirBsaQUELSChANh3nngHe44+Y5Dmlm3YccGPCFPp3b1U0dNBQucrXtXF4jeQ7rQcTvcBDxfvzYSnVpI/OffANx42Y0seXvJ166FxOOPP85pp53W7edfNSTJKBCm3qin3levJpdXgF6S7kpzpzEldwrL/ctZXLs47rMvd37J5sBmMCIp4BIaGxtV2rklQUKJu4SbC29mgGMAEEkDj2ThGa3xM6NhGNik7YCD/7VbannomocINB/45PXKva/w4I0PJrz9MQOOYap7KuzoedveRt+0vuwJ7cHX4uOLZV9ABVhlh846CgVDqjjbF7+6SHOmgQR/zd4tHWlKSlJLyLBn4HK4CPi/fmTUsYXEJ59+QqWvklc+f4Wpp039WrWQ+NOf/oTNZuPb3/52wvsc6fjGk9GInBG0mq0srF5I3eY6HvjnA2y7f1uvnCs7PZtTik+h3qpnhyd+hn1tzWv8r+F/1NTXqFiPhCZfE7S2FcjqNl1V/0cEfR26g9P7nw4Swp421rEMC8u0+MTzCYbvwJbvH73+EZXLK9n2wkG4JmEINYYS3nx88XgCMsC7a9897Km5whBKxilkxlyjVvDQkVFpfilOnGTZs+Ler66tVvdKbdNe99ekxnWjr2NS1iRcDhd+n/+wX9ODja7aPPgDfm6981aee+i5I6aFhM/rwzKt/W4hMWfOHN544w2eeeaZhMb1VcE3noyOKzmOfD0f0zAJBULUeeowmnvH/2KGTILhIJrQOt14F46+EAAjaMQsI7/hJ7AzEFNusDSLpxufZs32NWono02JuT3pxNx3Uh3vQDCs/zAwoY+7zwEdJyrcui9uwyZPE2VGGeUt5b1mrSaKV1e92kZG+6mWcSAwDVO1O+lg0NQ31oOE1sYeWg6YKBIVKDedETgiUuYPJjq2kDj2mGMJBoNoaBTnFh8xLSRqy2up3dl9l4C9tZB45513YvGtlJTezf491PjGk5HpV3500zRpbVY3wMbyjT3u563xsv619T1u1x5bd2zlzjV3UitrMc34WdkpnGqCi1g1UTSub0Qakgx7Bqn2VLYFt1HfUA9AU0MTr5W91skyipLRaamn4dIOTIAsSoyadWC3StTVuC91T/9d+l9MTL6b813oOVmsV9EvrV9MyNZtd6vvcQjjcXtq9uAzfOzaHZ9WNnnYZPLt+ZjevQ/G1+rjP2v+w3rPemUZmf5OxHZQ0R+VDXqwXgmUAUZbSIwbN46Ghgau/+71ZGZkcvUFVzP2pLGce+65PbaQ+Nvf/sbEiRPZtq3NE+Bv9PPgPx/kpptuYvz48Zx88slx1lUU0RYS06ZNi2shsWzZslgcaMSIEere2YuDINpCoqsEhh/96Ee0trZy8sknM2HCBG644YaeL8xXBN/4OqO/ffQ3AkaANDMtFoNJI63H/d57/D1WvbCK72d+n6Lje67xgLaJ3aE5FBlFdOoAPtr+EaB8+1E3HUDj1kaKziziZ+N/BuXwru1dgt4goLrGOoSDkAzFWUZmUB3bxoHHjGrqakBCfVM92WTv93GixYel7tKE9zl5yMm4trnUtdgOjN/v0x8wZhTP4FmexQyajCgewXZ9Ow7hOGTnD4VCylrumAVnQqqWis/ri7ufOsGEbEc2DsvRZhn5gd6qfd3HmqCDAU3TePDBtphksDWIX/r5yQ9+wm9//VvSBsY/1wsXLoz7e/r06XGp3U8++SQAFVsrGDNoDJ9/+nncjDlr1ixmzZoV+3vYsGE8/PDDccfMy8uLWWtRVGypgACsXdUm7Nq+9cQFF1zABRdc0OV33Lp1a5fvfx3wjbeMjis6TgmXmqaqIbFgRHrPDbAcmgNaYdMzmxI+V5SM7LodU5pxK+vypnK18jaVZZTlzAINGrc0qu0iE41DdxDyq2VVuiudiwderCwjXzvLKKgso9dbX6e15cA6RgaCAZAQCiQe6+kKAsGUgimMSh2V8D7D84aT4c7giYYn2LHu8GYxeH1e5aYLm5wy9hSuLbj2kFpGQip1+bA3fnWxdutaKgIVTHdO3+vCI8WZwqWDL2VI+hBcDhdhK9xr7ugjBTHVBcGBxceiz9/BjLHty/HCxOLEX2d8sy0jC6YXTGercyuWacUmcd3subAxmsU0ZvuYva9I258uEvuxa+3IKPoLyLZtjht2HKG8EP+t+C++Gh+tza28tvk1jhXH4rQ7CfqVZYQJ/VL68cOMH5LtbrNaot8DCUFfkHTS9+WqxKEotwgkDMgcsN/HABXzKE0vpY+WeOxpd/1u/IafneGdPcdEehHSkry2+bVYnGhH1Q7er3yfa5uuPaBruy8QUnSKDQJU11VjWibDxDDwAt0Za+1iRn0z+jI1dSpW41dYK6oDumohEYtTdkBLVQs2p42U7J5jLmZYJaxkaHs3IfelhYRTdxIkmDgZ+YFawEn3v+/XAN9oy8gKWjT5mjAxMaWpYi0WLC5f3PO+ESsntzI3Timhx30Ah82BYRnxK+tIQawVsijJKmGgayC5jlxclgvLsPCGvBgYOGwOggFFRrt27eLu1XfjM33YQ20SNZql7X+zvo5jjhCoZhzYrRIOhnlx64tsbtqc8D4vrnmRJb4lICDUemCW2YGgfUKIGTIpqyqjMdx4wHG0fUFpTmknCxiURW9aJjt9O7Gau/+ta6pr+Nuqv7HFu4VBOYM4PeN0HL6DO7Mdcfpv7ayP9mPzNHtoqmxK6BDRhV00UehgwKE7lEJ/N2TZEXXNdVT4KhJOmDnifocE8Y0mI1+zj3tW3MOu4K44MurU3qELWJaFQLDBt4Gy58oSOl+cm454N117y2h37W52B3bzw5IfclzucWSmZnL9iOsZmj4Up8MZix+EA2HCZpil4aXU1dapHjWNkJuRy6Wll3bdUXYfUd+kkiV21+w+oOM47A5Sbalsbk6cjCzTwqmr9New//ClfsXICHU9G1sbKbYVk2o/dB2cTxh2grKMAvGWUVQJ/ommJ/BXdl9rFA6E8Ya8aqKygWmZmE0Hz8/ocrmor68/oibCuLFESam9akkCiJJRg5F4sXZPsCxLJRYlePlFxO2SiOqHlJL6+npcrkPbOVEIcf7eXokc4xvtpoubZKQZC/wncpNYpoWOzmuh1xj7wVhKf13a4z6moY7vtDnRpBZfwR99WMKSD7Z9AI1wdfHVyl8csZoQSmy12WgGs20iWhdex7CqYThecODY4cB1vQsd5Wo80A62ffP6skQuOeAiSU1oTO8zHUdV4qtxKSVOmxPE4SWjaDr3aMdoSlJLuGzqZcgl8pDGjOyWPbYAiRtb5J66MuvKvaowmEakVk3TKQ+U82j1o3x7y7cZytCDMr6+fftSXl5ObW33KcuHGmFfmEBzANMwcTW7cIWVl6GltoUUkULzhp7rBfzNfoKeIC7ponlT80GZMVuqW7AbdqrNauV66+l7tITxtnhpCDagp/YcQnC5XPTt2/uKMh1wVuT/BcCxwIeRv2cDC1FyAntFr5GREKIf8BTQBzWdPiylvLfDNgK4Fzgd8AFXSym/7K0xdUTYHwYJk1MmMyR9CFJXqybN7NlgtEwLTWjcWHIj9vTEVJyjLq+zCs8i1ZUam8yiFhNAqj2VM8eciVwjebn+ZQqsAoZVDWPuhrnKtWJzELJCEGzzZ1+VeRX9M/vz8IKHyd6YzTEnHcMzW5/Zay2METDQHTpC23uwqyS3RI3tAGPd4WAYXej00/slvI9lWdiEDU3TDq9lFFkdD7ENIUWksKliEy9VvMT3ar9HIYWHZAxPf/o00DUZZWgZDHYM3mstVnThoms6WalZnJBxAjlGzj6Po2lnE7pdJ704PlZmt9sZOHAgAKtfXs3OVTs5646zujrEocMXIP8p+f0Xv+f4o49n9uuz2bV4Fy/+vxe5wnEFQz4f0uMhnr7hafzv+bk+9Xp4GdhHZSojYLDhzQ2MOW9M7Fmrf7Qe75teiu4rwn5Kz3PHlvu28MrfXuHa315L/+t7r9VNd3O2ECIHeB4lWVsGXCylbGy/r5Tymsgx3gBGSSkrI38XAf9K5Py96aYzgFuklCOBacCNQoiOqVSnAUMjr+uB//TieDohSkZDU4Yywj2CkcUjSdfTlYxODyjIKGB4ynDS7em4SMwkjtXs2LQ4C8wKq/dPdJ9ISVoJeSl55DvysYSFNCXBQJAqbxVhM0yWK4s0kQbBtkkyXU9HD+nYw3Z2tu7EFrbF6ou6soyMoMEfz/gj8/8+v8cx+/3+gxJ7CvgDvL3zbXZ4dyTse5eWqny36/ZOk/ChRNSC3hjaSFNzE59t+oywFT5gF+i+YFDWIOWmC8WvCizTwpIW60PradjZvSspeo/puk5aShozM2aSG8rd53GseWANz17zLIa/+9XJK8+/wvLnliPrD7PLzlSJH5rQYvGZlqoWMGBB3YKE7sNJKZM4ynYULaIFGdr377PgmQW8fNfLbH2tLSW7rqWOxxsep7YyMSty7uK5YEGopdfjpt3N2b8CPpBSDgU+iPzdHUqjRBRBNQlSeK+RkZSyMmrlSClbgQ1ASYfNzgGekgqfA1kRJj0kCPvDYIFXetkT2AMhsElbQjGjiYMmckHBBSzxLWF9Y2LFr0U5RRybdSxbA1t5pfGVNjKKJgkI5brbUL6BbYFtXFR8ETMzZ8bGo+s6J5acyLU510Io4nqxYGFgIdsqt1FoK0Q3dUoySvh2v2+rlPUuJsywPwytsPyt5T2OefkmtU0i12RvkKZ6kN+pfydhf71lKevToTuUNtthQpT0N4U2sbN2J7vqVOHpoVTuntlvJoMdg8mQ8VldpmFiYPBC6wts3dx9DUrUitZ1HWzQbDXjrfN2u32XkFDkL6JidQWLb+8+yee0MadBAFrWHt7W5svXLeehHQ8hhYwlD7XUtkAI+tj69ExGARjNaMK2MP+o+cd+icvasIEfzD1tz8/W+q1Mdk4mS8tK6BiaVOr1wabgPp9/X7CXOfscYE5ksznAuXs5zEIhxLtCiKuFEFcBbwILEjn/IUlgEEKUAhOBjj2kS4D2kfFyOhMWQojrhRDLhBDLEtVvSgThgLKMlviX8EzdMyxas4jGUGMndYQuEZmHlniWsK5l3d63jWBAwQBOyT0Fr/RSHiqPrbSik9r73vdZV76OjzZ/xFLPUvXrmB3ISkc9RP629hdrg2spqyujuqEaT8gDAZR0jOjGookmSySQnTOudFyP0jfSkqx/bX2n4Hp7WJbVdu4EeU1KidAEdpudcPDwu+lOST2FEVkjYnUnh5KMzKDJFZlXcEzGMfHvGyZptjQQ4Kv3dbN3vJsODR6oe4DPtn62T2MwPAaZoUyG2Yfx8bMf07q963T7fJfqPNyw4eAF/fcHTt1JupbO7IzZDEodBEBrbSt2w86ZGWf2eB8aTQbVddUYNnVf748lPKBwAFiQoqk0cmlJllYsJU2kkRJKTM4nmh17ECwjW3Qejbyu727DDnN2YdTaify/oLv9pJQ/Ah5ElahPQLn6bkpocIl+i/2FECIN5W29WUrZcanUVcCi03pFSvkw8DBAamrqQbP9o9lzx2YdS3o4HY/No1wh4Z4J7+2lb1O2uwxN0+Lke/aGcCiMZVocnXc00zzTYpIgTruTm8fdzMflH5Npy8QylEXwUvVLOAwHI8IjYi6WjZ6NLK5bzGV1l7XppAnVN6XcVw4mfLn6S17b9hp2zd5lSrY0pUotNXq+lH2y+sSKPbtD5fpKXrjzBSZ9PImz7z67y21ickD7QEaWaaGhkefMI9U6dJlrHRG9zkV6EU7L2ZaGfwjJ6O8f/53RntGcETwj7n2bsJGqp+J1ePE2dG/pxMjIpgLgbrt7n3sa1W6r5aHlDzE1dyrhijD179ST/sPOdVYbd20EExo2NTCQgft0joOJMf3GMKZojGpGGbl9Ch2FTHBMUBlqJuytaW99XT3/WfsfhoZUksf+kFG0kD6qERm9l3aHd9NS20JGAhIYUTIKthywZWRIKSf3tFHHOXs/xFi/BFqllPOFEClCiPSIpbVX9KplJISwo77UM1LKrrIpyoH2Ee2+QNctDnsB4YBy0xWnFDPQMZCxfcZSbC9OyDIqyS5heMpwNJE4GX22+jPu3HZnm3UTWewLKchyZHF26tn0Te8bS45osVpoDDa2xZp0DaErH7jVasXcdLqu4/F6YpNka30rWPCz7J8xJKtzkDY2iSbwbDW2NPY48TrCDghA5eeV3W4T21+SsJsuqpZ8ef/LOTXj1MR26gVkuDOYkT+DjeGNVDRWxMZ/oJmK+wLDMFgaWMqbe96Me/+Coy7gmsJrSHGm4GtNwDLSFRm5HC4Cvn1zO2WamZxffD4DMweCUJZSV9hdvVulQ+9D76pegQFY0Eor/qAi3gk5EyAEj9Y+2uP9n5mSycWlF9PfrZIG9uf3Xr5uOUjwtHjajiFhW2gbW3ZuSegYUcX4kLf3XdXdzNnV0fBJ5P/ddnIUQlwHvAQ8FHmrBHg1kXP3GhlFMuUeAzZIKf/RzWavAd8RCtOA5g7Br15FlIyaaWa9bz2EYZBjEP3sPWd8jes/jhOyTkDXdUwrsZt0cJ/BfCv3W2z2bubJ+ifxt6gHxO/1887Od9gV2oUVtlSsRNPQNSXgGm1boOs6w3OHc1XOVaSYKeSl5TE2bSwum4tWX2usfsLXrHTKbHrX2nQCQb4rn3NLzu1xzF9uVsmNe7OM8tx5DEoZhKgR3frhYwV+iVpGEs4bdB6j00cr+z3EQSs63Fdkp2ZzXO5xfBH8grL6sjY33SFW7UbQeSUdWYC4nC6Cvu5XzumudIanDsdhV6n1+9PTKCWYwjjbOLKyswC6TWL4/vjvk6fn0VB5eMnovaXv8Z/y//Cfmv/wYZXKNDbrTUJmCI/l6fE+dNldjMoaRbZdqZvsTxJP37y+aiEZVlNte0ILeRIjl+h9luj2+4u9zNmvAVdF/n0VMG8vh7kRmA60AEgpt7AXt1579KabbjpwJbBGCLEy8t6tRPR3pZQPAm+h0rq3olK7r+nF8XRCUVYRJ+ScwPbQdj5r/IwJSyZQ5avihqIbYu6v7mCGTZWpo2kJT0r9cvvRL7MfX8ovKQuVEfKFcOMmFAjxefXnfN76OWeUnxGzjHRNJ0w4lgmlae1iRl4YVjyMYfnDuK/5Pjx+j3I5RMnIgmd9z3JMxTGdaklS3ancOObGyO3SAyKuNefeCiL8yoX1edPnmNUmep/OtRBxqt0JktHY3LHQCB/Uf0BzXTPnG+fv1a3SWwj5Q3iDXhWDC1sxy+hAMwwThbQkpmEyK20Wx6UeF3dvfrDmA+xNdrUo2svKfVDRIAYVD4rVtbidbppbm5X1kOAsULGtAtkkcfR1qOQYfzfn80OOI4eG+gZ1rQ5Tab3f7ydgBjg1+1Sy0rOQluTON+7E8BukO9J7LFfweXxUNlUSivjTzcC+W0alBaVggQirHyzmWgdCvsTIxQgZTHJN4qTsk/b5/PuI7ubsu4AXhBDfBXYBF+3lGEEpZSjq2hNC2EhwGdlrZCSl/JQeFNukKpG+sbfG0BOKMosoyiri05ZPVQDY51NWTrRCey/1ZS8tfon6PfWkpKTECg970qfzeD0EQ0F0Z6QgNXJzZ6Zn8ovxv+Cv2/8aayERJSPTMmM3sG7TqQpW8ULtC5xddjalY0pjig4NvobYit3XqiyjEKGuJygLPiz/kEx/Jkdx1N4HLSFNS2Nq7tTYW9EVmiNNrbKXLF/CZ9WfgQk1n9VQdEHnhMiYKzNBN520JDtbdpIdzsZms7UpkB8GMtq4ZSOvbHpFTcCRrDQ4dJZR7PcXehuZR57cppYmHJYD3a631at1dR+akVfknnbZXaroMgAJiNQDsGDxAlorW7l42MVAZzUIUL/by6tfpsaswRv2IhslIvfwNIAzDAMdnXHp48AFptfkuPzjWLNjDT7L1+OiqLKykqe3Pc0M+wxg/9x00eSjaLwp6i5FEFPf7wnhUBin5lQadb2IHubsExM8zEdCiFsBtxDiZOCHwOuJ7NjtmkUIMWlvrwQHdkTD1+qj2d+s6n5QytS1oVoer3487ka1DIunfvgUZR+Xtb0XCa5rmoaFlRD3f7L6Ex7Z84jKaKJdQNSKpG8KOpORNHFrbopdxdhtdoQuaDAb8NX7eO+L97h7593YbfY4i8Pn9eHEyfdyv6eyvzqgubmZjys+5rOanrOpot+zvbvvz9/5M/+6oq2OLceZQ6m9FARUftG1l3Vf3XRGyODJ9U+yxrOG4wuP5+yss/faA6Y3UZJbwlmFZ8XU3aOusQy95+DzwUC0zukDzwc8UvVI3G9xwbgLOCvvrNi90h3Rf7H6C/629W+EpdrZ5XARMAP7NME11TaRrWVjS7GpmFEXZGQEDNbWrKU0pZTvZH8nPld2X1EP3AlU7d/uZtjEho0qs4rGQCO6V+f4vOMZkjKkk2p+d/tjKS1J2M+Y0QYVMypwFLQdI0JGiVhG0pKEQ2GW+JfwRWXHZOQjEr9CybquAb4PvCWlvC2RHfdmQP898voXKr3vYeCRyL/vO5DRHin4bNVnPLDrAZVhJFECpBKGuYbF3ahNu5vYvnw7r/7x1dh70RoYTWhY0uo0Cdx37X0885Nn4t6L7mPT1bI2ahk1Nzbzyg4VK7QMK7ZddIIZXjyc6/tfT5ozDYdDuUiCzUEG5A3gqLSjsNlssUk+TU/DDJjYhE39ul1lRFswKH0QZ+X1XCFvWRYtRgtLq1SXS3+DH2qgeW1z7DsPyRnCVX2uwul0UrmqazLKzcxlSPqQhMlI13SuGnEVYzLGqNW82c13OQTITcvlqIyj0IWOFbYQUjDTPZOS9E5VCL2C9t1lfaYv3r0UBjTayKiba5uXnsfIlJHodrUQ0jVd3bcJXlNpSZpqm8hyZ+F0OJmWNo0Ce+dQQMijdBOL04rpZ++H2LX/VlH95npef+91al/fP4khI6wso+dqn2NhzUICdQFaPa1oNi1xMpLE4mz7YwnbNTt2YaePU6nVxxT1RYJtWSyYnD8ZU5jsbj0wfchDhJuklI9IKS+SUl4opXxECPGTRHbs1k0npZwNIIR4DrheSrkm8vcY4P91t99XCaNLRlOQV0BYV09kMBCk1F7KjPQZcTeqaBEQhhyzTT4lajHout65HQTQsLuBhj3xAdyonl10Qoime/q8vpiAqLRkfAKDNNv06XRwOp0xFeuJRRMZnjWcZxoV6QlTcEveLbwmXmMzm/l3/b85uvzoTq64zLRMvjP0O8r72wOirp9ohuH2T7ar6F6IWDzA8BjoUqcou4iKsoouXUV2m53JeZMpcBckREYaGgPTB0IDLKpfxNLqpfwknNA9fdDR0tyCx+tBExqmYfLbKb9V6gKHiByjlpEQgrAVjjvvi1++SH5TPif0PUG5i7u5toP7DGZw3uCYm04IocgowaQQb42XsD9Mdko2ToeTU7NOpSvhkZAnBBbY3DbW1K8hf1U+fc7ev5b1W7ZuYXn1coY2DCWf/H3e3zTUoiyqwLBhzQbmrZzHOH2ceq56iBlFySjPlcestFlk2PfdEjbCBmEzTNAXxIkzPoEhgUJuYQjOGHAGZ+w+A9wc1hhcgrgKJfHWHld38V4nJBIzGhElIgAp5VohxIR9Gd2RCF+dj+KMYopTi1lhWwGom0NDI2yFsRttwYlsmY3TdFIg2laC0pJoaJxTfA5SyM7ukQCdJob2BAZtbrqoXzm6zVWjr8K93s0n4U8wpcnKTSv5fMfnfLfouzgdioyCniBBfxBhCS4svpB3m95lvbke4RIYQQO7sFNj1KjEho6QML98PlTDSew9KGqZFrm2XKZlTQNgy+dboAX66G0V7M8ueJZgeZBvDf0WwV1B1Qisw3Pb2tpKc6iZqc6pibnpwgYb6jdQHComLMI0Go1Y/ojL8BBj5caVfFj2IQ7dgRW28AQ93F9/P6fvOp2JTOz180cnRZfuwpBG3CS6p3EPNtNGobtQ9brp5tpGLTqhq1XCsIxhpKWnJZxm37S7CQzIysxCIglbYTS/pmJ57RD0BJVry+Xg5daXmblyJn3YPzISYdVQsH9G//3a3wirRZLQFPGaYUXWTrcTKSVWaO/3U/S656bkMiRtyH7FK4NB5W1ZtnsZ05lOYU4hPx31U56reS4hMpIhiRVWi9hYu/JDK8idEIQQlwGXAwOFEK+1+ygd5XDtEYmQ0QYhxKPAf1HTzxUomYivLMo+LWPOr+Zw4sgTGRocip6uyCEYCLI9tJ17qu7h5+bPY9tb9Rb2ULwKgGVZaFIjxZESU0qIIuQJqdVrh4nBNM2uyahdnZJlWBS5i8ABeXoeHpsHp3CSqWei6Rq6TUfXdEKeEK998RrVe6r50dgfMTl1Mn21vjzZ9CQhPcQw9zCW+pd2WR9UU1PDp9WfQiOcJE/aa+KFZUUeWAP1YDbmqiZuLmITWcATwC3c9MvspybELtpZNzU18fbut8kIZ5AZzozJ4neHoD/Iy1tf5nTX6dgz1SwQbgnvPauvl2CEDIQU2DU7wVCQ93e+T76eT75z31fr+wOH5mBq/lTqmurY6d8ZZxmZhomu6ewJ7KHF18JIc2SXx3h/6fss37GcW8feCsCA9AEMSB2QMBntXrEbwspliYA7q+7kuJ3HcQInxG0X8io3ndvm5kelP+qxKd3eEPQGFXlY+/ebGyEDt+aOFabH3G7RGJDf3CsZGSEj5pFosVpw+9zY95WRIslQg1MGA6Cjk2nPJFVPxR/2d23plANF6ryNdY3ct+w++jX0I9uezfnB849IMgIWAZVAHiq8E0UrsDqRAySyzLwGWAf8BLgZWM8hTsE+2Fg3fx2yVjJ//nyeqXqObTZdhSRC6inv6E+e9948PD5PnEhlNMlgo2cji1sWxz3UvnqVqXNa5mlxbhDL6MEyEuq4yyuWUxGs4JiCY7gs5zJG9hnJZX0ui1XPO22q26tpmOhCZ6N3I5sDmxmfNh40ODb9WE7POR1N02KtA9ojHAy3ZbX1MBlZpkVtqJb3K9+HKjjOfhwT3RNx6+7Yvn6PH7fNTbNsZqtvKzLQ2fdTUljC9MLpPN/yfKdupV0hmvAghMBuj7RPaDk8QSMzrNw9uq4TCAfY3rydoxxH0Tfl0Mj0p7nSOL3v6fR398e0TKxA248WvQe+bPqSNxvf7NYyMg1Tra4jT7zf9FNn1MU0A/cGy7BY8vYS+sv+5JbmIjTBydknM8TVuaA65AvFgv652bnYG/Y//bGmpgZMKK8t36/9o9dGCKEsoYjLucBdwAjXiB7drFHyajQb+UftP9iyJ7Ei1faQpiRHz4nFjBrqG/io4iPGp43npPSTOiXlSJ/kw59/yLI/LgPApbk4oegE7LqdTf5N0LvydPsNKeVOKeVCKeUxUsqP2r2+lFImpOHWIxlJKQMoraFfSSnPk1L+M/LeVxLSkmxesZl8Ix98UB9qxOfXCQdpq6zvQEZDU4dCGMLhdpaRqeI6mzyb+Nzzedyk7q31ggnZIjuejCJWhsPuIEfPQTf02LHaH/f1ra+z2bdZWSySmFUS9fc7bA6C/iBG2MAmbZQFyljoWUiD2cDVfa5mjHtMLBW4q2LVfdGJmz50OgDNwWZki0Q2Sc7JO4er8q+KfTe/x4/b7mZdyzr+2/BfQg2d3Q+a0BiZMZKTU05GmBGryAcspsu4RXs9vuhK9nB1ezVCBrrQubrwas7MPpP/N/7/Mdox+pDp5VkhpbZh1+0qi6217dk2TWUZzeozi2vzrt07GQk9ZgUvrV/KAzUPJFQrteX9LTTuaeTovKNjFu+xWcfS39nZfRbyKjJyOp1ss7bxccXHymW9H/B61HPU4tk/wdUB6QPo6+6rkoysNsWSUdmjuDT7Uuxy70QZJaNsdzZnZZ6lPBb7CNMwaQg30NTaBEBdXR0LKheQ48phoHNgJzISIcHu6t1Uv1YNElLsKcwsmElfd19CVqjLhd6RBCHENCHEUiGERwgREkKYQoiEfsAeyUgIcTawEngn8veEDj7BrxRq1tfQXNXMMSXHcOrEUzml6CzyU/pxUcaVjM8cT4qW0omMxrjGUKwVxywnaLOMzi45m5sLb4530zWHwIS1rWvjSCoaMypIK+DHBT9mUKYSb4xOvCX2Evq6+nLLxFuYljWNL+q/4P6a+/lozUf8s+yfsYkkKuUSnWBO7XcqhfZCPmj5ABzw3/L/8kLNC+i6roo1OyCqTdcVGd1x3h28+Yc2yZl+2f3It+VjmRYbt2zk9yt/T5VZFbOspCUJ+AK4HW7G5I3hu7nfxRbo7P1taGhgY9NGRttHY7PU542LGllx1woCyzvPVjHLCCWUChD2HB7LyAgb2LCR48ohjTTCRpi7mu5i6Z6lh+T8O3fu5A8r/0B5uFxZiN74+1AXOumOdHL0nIQtoxFZI7gg6wKE1XO228o3VpLpy2TE0LYygSbZRKu3s9xYyKfufYfTwU5jJwubFmLV7V89VlQhZX9bdZw2+DSOyz6ujYw66PP1aBlF6gfT3GkclXpUTIlhXxA9xueVnwMwrP8wfjfqd7jsLrb5tnUio7A/zKw+szghcAJ8qf5uDjRj020qVtd4+ASDE8QDwGXAFlTKxfeA+xPZMRE33f8BU4EmACnlSlSTpa8kapfXYvfbGVo8lGnTpjHmtKNw2VMZ4BjMecXncXTq0ViWFXOFWGGLpl1N9Hf0p0hrWxmNKhjFMPcwhCZU/KPd8zYwdyAjU0bSGG7skozQUcQSbHsfCaennc6ItBGqR5LNRbojnSJbEX6vH7/lj5HRgPQB5Mv8tglGh3OyzmFW7izm1M5hq2crpe5S6o16LvnsEl566aW4axCzxLpQQ7DqLZa+2jbJ7qnbQ224FsuyyEvPY1beLNaF1jGvYR5YEGgKIE2J2+4mw51BP0c/dH/nauHGpkY+rfmUMqMsNrlU7Kxg3oZ5tJZ1ntSiY9Q0rY2MvIeJjEKKjFb5V7GkYQkvbHsBOPC2GokiKzWLEwpOoMCpEmgMbzvLyDDRNI1d/l0sbl3cMxlF7qGClALGpoxVIpw94JJ+l3Bz/s1xyhpP1jzJ/IrO/bCsoIVDOnA4HWSmZmJJi9bNPWpkdolwMEyso/F+HQDQlatXWm1tJDZ6N/K3mr/R1NC0191HlIzg4sKLETZBRbgCT2sXyUA9IEpGsW4DpqopXBFYwTP1z3SydBrqGnhi4xOUtZRhvGawc+dO/rn2n9Rb9aqQvfnwtVJJFFLKrYAupTSllE+gur32iETIyJBS9tyf9yuCMdYYftnnl6T3TQfUfOw3fWwIrccT8LS1645InTSXN3PPF/dQaC/khLQTYuQyY8AMJmdOZl3LOt5uejs+9uKFS/Iv4bt53417f9KASRybcSw+y8echjls2rNJnaudgkMoGGLh7oXsDuxmVM4oLsy+EBlWmXvRieS0vqdxctrJGAEDm2Zji2cLizyLyHXn4sXLSPtIpmZNZZlnGYY0+Otf/hqn+Bur1I+6ANtDErdifH/t+7HU7vzMfGblzELTNLyWFyzwN/nBROnjWa2s8K7AU9f5oY3KAb3qeZXWJjU5bdqyiTQrjRxb546j0e0FkZgRh5GMIpbR4tbFLG5czNYm1TfoUKl2Z6dmMzNvJgPTBzLaPRo9rO7RaBmAruls82zjvZb3kOGu3TgdLaOWUAtlgbLEJnofCLuImy10Te8yHjlp0CRuHXgrKSkpZGVkAdC0tUl9mKguYQRGUCUQ7O91vv+z+/mg4QOVwCCt2DXIdGUyyjmqxyaaeel5jEoZRYAAD9c9zIaqfc/bGlWk+olGr/PuPbt5s/xNRmWOUn3JOmjbRtP4F5gLeOjZh9Q9b6E6QwPBxiM0aNQGnxDCAawUQvxVCPFTYprpe0ciZLRWCHE5oAshhgoh7kdlTnw10Qi2sC12eSygKVzPPM8L3L3xbj7zfxbXlK5xZ6NKabVnxU3eZtjEwmKPfw9f+r6Me8iWr1zOvJ3zOknfjOgzgrGpYxGawMREBiOuKClwak4eaXqE13a/xsI9C9kT3BMjHzMYP5FgU8c1A8pNVxeqY21gLZVGJQ67A0/YgyENvmz9EpfmYumypdw4+8bYWGJB664mB4s4gjp99Ok4hAPLsgj6grQEWpiVO4vLcy8HqSwjLNWSoD5cz7yWedRUdRb1bU+A0VoLX7OPDDMDPdTZkopOQJpoZxkdrgSGSL3Ktf2u5fzM89WbIj7W15sI+oM0+Zvol9aPi7IuIk1T+j0xmSBNZVhKKXsmo8g9taF5A082PJlQ4eUrq15hgy9+IrZptq5brYQgbECLnTYy2t4EgLXMwvdbX8IdU6OdmPdXHX1Y5jAKnYXMyJ3BMWnHxNzaJWklnJFxBml61zpIDdsakJakrqGO7d7tMbfe/oxjYvFEsrXsGHHX1NawtH4paa40+tr7InzxbtJojzJnipO61jrC1REycqoJ6xB0ez1QXIny/fwIlXfbD7ggkR0TIaObgNEop9L/UPKah6f68CDg+S+e5wvPF7GH0gKyXIVcmf0DJmdMVkFZ2aaO0LSnCULwufE5j1Y/GrMaHvjkAV6tezW26opLYGj0sqJpBe82vRv3fmNrI82hZtwuN9fmX8uIDOWDH95/OL8e8WtOTT+Voe6hKnCPxpcNX/Lnqj/T6m1VjfUiY/6s8TPuq7xPkZSuY2lqot/o38h2/3ZuKL+Bo5cfTbPZzE9Kf0KqM5V317/L+eecz4YNG+Ito47Pl4Rcra0ddUFqAUW2IkzTZOWGlfxj6z/wa/5YJp6/yR8jI6ddpeCGmjo/MDE5INoq2auqq6jwVVBf27kMIbq9JjRSnCkMdg3GZewlp7WWXitCjVbyOxwOlXzRribsUGDjlo3cs+kemmlW546E2KQhKXAXkGZLa5OY6ka8tCMZaZp69HtSFbDCFnua99BsxTtHbLqNrhpdLl+3nOdqXmdlM6SnZIIGTTuaAPj8s8/560t/JbQ+QYHQiJXQ3Rj3LNvD2rlru955M3yrz7cYkzOG4enDGeocypDCIczMmgk6WNLqkhTrNtdx33fuo/ytcpZtXMbz1c8rMhL75y70+/yY0oyRUTRu1UorK3wrCDTEx0ujCg0ZzgyklLRWtsZbRs1HtmUUyarzSylbpJS/l1L+LOK26xGJkNFlUsrbpJRTIq/bgN8f2JAPH8ygiam13VQWoOsOcu2FnJlzJsNSVbv2GBlVNaEZGsNyhyn9tciEd0zfYxiVNiqmktB+RTpz4EzGO8azMbAxjoxeWfqKirVEr3p08oxM7NNSpzHIqZIaNE1DIglZIUKBUNxEkp2SzQD7AML+sFqhRkyZsAzzxO4nsAkbX3q+JNuWze8H/55bz74VwzKY+8Zc5s2b15ZK3gUZCSkY7Rodm3A3VWxiZ3gnlmXF3CZftH7BnPo5YEG6ns7RWUeTlZqFw9kmVdQRMdVu2qxOT5NqZlhdXd1p+yhhCiHITs3mytwru8zeApQldz/wStcfHyimlU7juPTjWNa6TKXxH2IyMsJqgqo0Krmr+i7KyssAJZD7wzE/ZGLmxE7lAh0RTXSI3nuaiJBRDy4wzdC4aexNTMudFve+Tbd12fertaWVunAdYS+IkI00VxrNlYrI3DY3w1zD0DyJFS7/dOJP1cKwGxJ45G+P8NLtL3XS12ve1cz8u+Zj7jChCOrCddSEahicP5gZmTPY5t3GHdV3UF7VOWU80BTAHrAT+jLEtKHTuLLPlbFruz9yQHM+m0OL2RIj7igZVVvVzGueR0tdfKJZ9BnLcKm0xeYqJbuVlqqsuCM1ZiSEWCOEWN3dK5FjJFL0eqEQIiClfCZy0n9xpJZd9QQJlw++PC5XXwJBGWBZYCV4+pLvzGda6rRYxlddeR1ZIouj+hylMl8iBDK1eCpsgWqhUjClIdsKOVvVQ2wJK26ynz14NmKdQArJv2r+xZSdUziaoykrL2PZ7mXMMGYo113EMtJ09dCGQ+E4N92ovFGMyhzFp2mfkh3IZrVvNXMa5vBU61NUBav4TvZ3GJ8/nqnZU3FaTkYVjOKx4Y9xZfmV7Nq1i5SjUxiUNogzss+IG5+0JGNzx5JRlRGTN1qwcQEAJmZs1eaTPqpCKqOuIKWA03JOg3TwODwq7tXFA9N+4jbDppoEA4DVdSwoOyObq4ZeRYG/QH1vQSf/ehT+Zj/3vn8vp2w7hUmXHHwN3yHZQyAFnvY8zbbAtkNORtF+VlnuLMa7x5NmRdxLJrGiSV3EK8F3xLD8YUiXjC1ohKb+0eMEG4qcpwN/6LpO2Ax3KtqcNWwWg4tmsUEDaanki6b6JgB2V+6m0leJ3Z9A7ZFEZWVKuoxNRbfBC3hQeVsRrHhlBZ8t+Yyjhh1FdnE2b3/5NsHmIJf7L1dqBrrerfuvOL+Ym0fejN1px+F2kOXMQtrUD74/ltGM/jN4iZdixB2ND7sdasAdu7dG3XQZ7ggZ1UTIyJ1Gup6uvu+RiTMP9ACJkNH5wGtCCAs4DWiQUh62tg8HhDBqFd0uRKESGPx86nmHleVwVs5Zqqto5AGr3llNoV4IbhVrEYZ6iJu9zThMB5o9ssIMtkmLPP3h02zzb1M9U9o964NyBqmHRoMGsyEm1ePz+aj0VfJY42P0EX3ATUwoFdpkimKiBTaQUjI9azoiKLhnzz2UhcsYlzKOawZeQ39ff8ZnjqcmXMNr1a+x0rkSmqF/SX927dpFv8J+fGfAd6CRONeWkALTMvmi6QsmhyeDrW3CLdQLMUOqh5Ou6zHXZKg1pGRh+tiUVBERSZgOkLLNMrJCFt4ab6x+qisyctgcDEwbCGEwhMEDNQ9w7LZjmcrUTtuG/WECRoAFWxYwiYNPRlV1VTgMR2yFjIVy23Q3SR5kRCeovLQ8VUgdeWo9zR6eW/8cM/WZ6Fl7t4ymDZgGmbS56aKWUQ+E2ljTyLz185jtnM0ABsTet+k2leHZkahCYEgw9QgZpWVRUVEBIQgEArSGWgk2BHtU0jACBu9seQeg+3qgaDZoh7WPt8mLK+giuzQbBJxQcAIWFu8ue5edlTs5d8AFSNE1cXtaPPxj7T84K/0scrNy8Xl8jNJHdVtA3hPG5I9hiWNJGxlFLCO3W5FRx4VbzDJKiZBRvSKjwsxCbulzSxzpHkmQUu480GPsrYVEjhAih7Zc8V+g4kV3RN7/ysHb6OX+L+9nnXdd7D0LEEJDCvXw6LpOWIaxghZhX5iG6gYKUwv5uO5jfl/x+1jSwUNLH2JB4wJFGKJtlSUtyc4q9bt0jCXtrttNjaGC+7rWVpA6qnQUNw26iQx7BoZpxIo9o5NfOByOc9Nt827jD1V/YGvDVgxpsKRuCeMyx7Hi8hVcMvASQAWYMx2ZZIrMmNBqlIywYH3Tev7b/N84NQRpSibkTVBZgxF+sEyL0e7RnJ1zNkbQUMKT0bYZFiz8YiF/2foXcIDNZkNooksyaq+/Z4ZMPDWRTpsSwr7OZOTz+VjTsIZWoxVd1xngHEAWWV3+rtFAd6aZ2fUPf4B4efnLfNDyQWwCj5KRZVrUbqjl3T+9GxcTOxjYvnC7Sg6BWCsD3amaLZqeyL1mSJyaM5bAAN2TkRk0ke2qi6Mxo+4SHqLwNfsoaykjaMX/pjbNhmEZnbIxX//idRY0vIulARLS3el4DA80RZQUTNi1o2eF3mBzkA11Gzg7/Wym507vcpucFFVXJf3x3yHgDeDW3DEtuZKUEvo5+zGx/0ROyjqJbTYdfzf1S3X1dWBBTWMNyzYv44OGD9pU0feDjGoaa/BJnyKjiJUnpIgldzTsaojbPipBlJGaAQKam5qxCRvCEclm3Pfs8kMKIUSrEKIl8gocrKLX5cCyyP8XAFnAGe3e/8oh6AlS76/HbOebsgCh6cjIRL8jtIM/Vf2JyppKatbXIIOSwoxCRQztqt+jytqapqkga6SSPewLx9S4O5LRa6tf46Pmj4B4MorGjDShxVZQUdVugD6OPgx0DYyRkcPhICAD3L7qdp6ueprVNau5Zto1aAVabJyapnFi4Ykcn368IhYJA/oOYOfOnWzcvpEXdr1ARbgirgI/FAjxzMZnaAw2tpFRVJsu4rvXhd6WtCFhaO5Q1YHSrlw/TpuTkL+LBAbZNmGYQRNPbYSMRIRMOqC+vp6Xy16mOlCN0ATnFZynWnt0gWhx5HR315PWgeLMoWcyI3tG7PfAUoXQg9yD+N+D/2Pxs4tpXn7wqh+MgMFTv32K+y9XtYJRy8iHjz9V/4mVZSsBSE9J58ohVzI4bXCPZPTQRw/xQv0Lsb+jLuWeLKOQv03epz1suq1L5es9tXtoNBsxNbAsOLHkRH5R8AsIgC6Ve6xj0L4rpNpS+fm4nzPJPalbde1MZyb97f0RwfiMNL/Hjxt3zILcE9jDDv8OSrNLGZM6hpDUMYyuLSOfTzWm9Hg9cUkfutD3K8X8qeVPEZZhpqdPj9VM2YSNzPRMUl2p7Fm9J277WAJDmiIjv9ePHTvSLvlfw/9YsWPFPo/hUEJKmS6lzIi8XKhMugcS2XdvLSQGHqwBHikItkYUhfW2B8sCELpaM0ro4+xDflo+6Xo627ZsgyAUZBTQaqramHBrGDv2uAZ40DYJeGtV/Y3b5u7U7Cy6D6iVZZSM1m1dx5KdSzCEoSriIzGjqGU0PW86fX19Y0uHykAljzU8Ro1Rw/xaVXh4/kiVcpzpUtaBEJGVVDQdXUL/4v60tLRgGibjM8dzcvBkHFbbtdCFztSCqdBMbAKQpmSNfw3eWi/ZoWxs2BC6UKtsCwZmDlTutMid5LA5CPo6W0ajB44mpV8K/636ryKjGk+sF09XZNQnrw8/GvEjMgIZkcGpFXBXAqvRrCtb0Bar1zqYGJA6QLlOveoHSBEpnJB2AjmpObxvvQ9h9ltloCvIkIQgeLd5qf28VqWWY8PujKS4Ry1Ji5i1GbsPu4kZTS2ZSsrulNjfiWbThX2K6KM9faIYmzWW0qbSTgkwQX8ITXcgI+LBNptqxBcjIwuCTQlkhAUBA15peYV+1f2YwpROm9S31NPibyHcEo4TMPV7/Lhwxe7Jz+o/o7axlksaL8EKWhDxZkQXje0RdbVbYSuuNivaPmRfYRomo12jGe4arsgockxhE/TN70v5TmUtRkMHg/oM4pz8c0hLScNus5OtZTMxcyLCJji3/7k4sw+9UPCBQEr5qhDiV4lsm1BaixBijBDiYiHEd6KvAxvi4UFUUbj9Kk/SZhlJCfmufGakzSDDnkE/rR+nZpxKdp/sWAO7aHyjfXM9aHuovXVKTyvNntbJMorq2YGaPKJ1Gs2tzez07UTTNOWmIz5m1L5VsZSSy9+8nFazlcsLLqc+XM/Ukqn0z1SZZiNyRoBURagvV7zMEzVPxCyj/sVqG8uwOK/oPFWv0o4HbLoNl+7i/eb3Y+7IqI5dni2vzU0XkVeRpqS5tZnmYHPsYXLanV1K4+uaTh9nH05OOZk8Zx6ZWiajXaPRbXqXGm923U6eMw+HUL/V/VX3M2/HPMo+LesUeA4HlJvumYpneqUb7KbKTdSEa9A1nUw9k18M/AVp9jRCoUiWownh5oOXV27Hzi/G/wJHyMHCOxbGtPFsenyH1arKKu5Zcw87fDsYlD2Im/JuIted2+UxJ/eZzKi0UbG/O9633SEmfOqIJ6OhmUOZlNLZagn4guiaAymUZbTLv4u3mt8i1BJqs4ya21lGBvEF4xFU7KrguS3PsTO8k0Coa0vKJVzKimmM910FPAHcdndbsoZQi6d3Vr3DvLp5sJfMQ2mqRZYVspTuX0TP71t532Js2ti9XquuYBomLWYLVcEqMOI1AkvySqjz1RHY0vb98tPzmZg+Ed2hMz5rPMemHMsx6ceABikTU9AHdK7JO5IghDi/3etCIcRd0M4/vBckok33f6jE2ftRsg5/Bc4+kAEfLgS9XVtGImoZAQhoMBoIeULkBfKY5p6GlqEpkUra9NGixDIpfxL/1+f/yHCqFXyUjNLt6Z3IKNpCAlRsKrrSiqYx2zQbeXoet4y5RbleIg/NU5uf4sX6F0HA0oqlbGvaximZp3Be1nl8duxnPHfBc7FzGJqaHWzChiENWo3WWNZV/yJFRrsqd7G5dTP/afoPzY1t7iXLsGgJtSAtieltG9tRKUdxesbpyk0ndZXlJ1TM4vXlr/NCzQuxB/+Ckgs4Ka1zj6Q91Xv4vP5zjnIdRY49h8GZg7ko/yLcdrcikw5oam5iUfUiWkzlbtZ0jU3Vm3jy50+y+5n4jpdGwGgLZveChO9La19ipWelcq2idAsfbnyYeRXzcOrOSBZM1/u+8rtXeOfOd/bpfFZItSeZmD2R9SvWE2oMYRM2bA611I9er3AwTFOwCRMTp81Jri03lgUaxca3NrLsqWU0e5rxy7ZBFqcVc0HmBWS69x5na6811x4+y0dduK4TGYUCIXTNgSXAklAfqmeNf41K94/8zMHWdpbRQ8CLnc/bXN/MxoaNXJZ1GcflHNfl2K6Zcg035t1IhsiIez8q3BuFJlSMMyrHJXW1+Owqmy4a2+xoGY3PGE9/R3/Wv7WeubfN7f6CdYBpmGwIbOC5+ufAhNMnnM4t/W4BDUoKVKfgioUVse0bGxsp95WDBmeWnMlgbTCesCcu6eoIx1ntXt9CtZA4J5EdE0rtBsYDK6SU1wghCoFH93OghxUhr3qwnM42UzeawEDEMmq0Gvlv3X+5dM+laE0axeFi0pxpbZI0vnBbN1ahqWZlgtiDtmP5DmyGjT6Zfdjdujsu5bu9m07X9PgMGxRBibAg3ZYOGqQ6UhnjGoOWrlGCunFfXPcids3O8JThrPWspX9BfwZmt3lU9/iVD9oSKoXVb/hj7pwBxSob6pMvP2Hp7qVqRd/OReZp8bCydiVIpX9mw9ampweMyh/FgPQBBHQ140tDtn0eIaM+aX1UAWoHd1l1XTWf1X/GUGsohb5CHC0ONEPDbrfHCdBGUV9fz3sV79G3pC8ZZGDX7fiDftxNbvqWxbduiCYwYKHI6CDnMRhhA5tuIyzCeEwPz5U/x9HpR5OZlsnW7K000EChvbDLfTd+uZHiqmL4FQm7D+uq6/j3in8zRB+ClJJifzEFmQUIm1DFpoH4mhVd6LSEW1jrWcuoplFxiR7PPfYcbICUPimMbhzNGZwBKHfuWPfYHmeAaMwo6iKMYnH9YhbVLOK3xm9j71mGRSgYxqYry8iUMLFwIhMLJ6qOwJHYV8DbtmLYvGYzwZ1Bxl4Sb3UEvUGkCX63E8voetXsMB3kiTzVhC+CqHCvy95WfRK1jEzDRENH7iW+Fo2hSUNihk3l/hNQY9Sg+3Re+O8L8CWc99PzVOeevUBaEtM0GeEawdGZR4MJwopoWQooLiwGARVLKhh0g6ovXLp+KUv3LOW2SbeBC16teZWAM8B12nV7P9kRAinlfrcXSoSM/FJKSwhhCCEygBpg0P6e8HAitspzd7CMNBFz0zntqpNqS30Lby19i1P1U5kmpsUkaQyvESvg1DSNCl8Fy5qXMatlFulWOuu/WM9gbTCnDDuFU4xTunXTtZdTiVlGuo0GbwMLKxYy3j6e3NRcLsy+UDXa0pSL7sX1L3LSoJNwh90QaosVRFGQVsAE9wQGpAygLFRGwAzEyKgguwC73U5lbSUDIyHB9jGGWDBbqtiYCxeWZbHUt5RN4U38rOBnkAYrHSspthUjw22kHJ1oy4JleFo9jAmPUY32Ipg0fBKDBg3iniX3cO6ec/ly05ek7EnhmgHXxIi+PSzLil1jUG3LsWBMYEynjCIjZMSsP7PVRC88eMtIy7CQUmLTbDFLtTHUyPjc8ThcDmqcNRTbi1WeaRf49fRfY31oqcWKo+ttOiLVmcqpJaeiVWlsbdpKQbBAdTvVlPsy6tZsLwfUHG7mPc97FDYUxmcdWoAH/K3+uHvFb/qpDlXTx99HxVe6QcjftWU0Omc0hRmFcZaRWqiBblNkFEv7lmD5rNiio31M8X+r/wdVMNYcG7f6D7QGMAx4wf8aQ8uKOZ+TO43tzvl3YlQZ3Fx3c+w7hzwhLMPqbBlJC8uw0IUdu+ZgrHsy+Y7OzRGjBB+1jNy6Os5LNS+R58yDbNRv2Y0l3NWxSuwlDHQMBBOWbV6Gt9HL8drxuJ1ufjzkx2Q3tqmBHzXwKIYUDgEN3qh7g22hbVyef/mR3mo8BiHEQJRqTynt+EVK2aM3LZGvuEwIkQU8gsqk+xJYsj8DPdwI+iJuOmc8GclYPIZYrYzNb+PawdcyKlv52XU94iLxheN00zyGhy3BLQT9QfYs30NLdQujcke1TTztHtbYxA0Uu4vJt6mHIWpdaJpGo9HIwqqFNBvNaoKP1LNIIVleuZydzTu5aNRFanKWXZBRXgHn5p1LblpuTK8sSkZCCvr160dVfVXMi9s+iNs+/Trqjrxi1BWMco3Cb/nxtHrwmT4m5E3g+vzrsYl4ywlgRcsK5jfP79wETEKKlsJ56efRP7U/YzLGMCJtBBmuDNxm5+KJaJsLIRTLRb/v0palfLzl47ht0x3pMUWJYN3BlUuJJUdoNk4sOpFbC2/lB31+gE/4aAo0MaH/BAzTYNOOTV3uX1ZZxuc1n3dbsNsVUh2pTMubRmlGKQB79uyhNdQKIp6MoosYXdcpySjh1sJbGZjRIe9IotKfAzLuXqn0VfJkw5PUNHbWEWyPkF/FxXRn/H3WJ7WP6pvVzi0abAkiLbDpzpibbodnBxeWXUjGBRm0elsRQhDwR1LWI8W8M50zO5F50BvEMqHVaqU+GJ/+HMWo3FEgobamNvaew3Rw64RbmZLblvAQE0oNq95Pum7n6NRZvL/t/U6SRtFrahlWLHsU4PSC0zku87iYO9gK9pywEl0sNJgNqjGeoVTwd/h3xBZvOQU5iCoRi3XmpuQyyDUINBiUNYgT009kWMqwrwwZAa8CZaiwzt/bvXpEj5aRlPKHkX8+KIR4B8iQUiYk73CkIWoZOd3xbjokzM4/n3DT1ljlM37o7+oPEcNinWYnaKlJun3jt2HZw7gl/xZIhYqtFYzQRjC833C2tGxhTdMazg6cjS1ymdtbRmcVnRV7AKMT+qSMSUwMT2TcmHHgh8ZgIw9WP0jQG2SMfQwrrZXoQufs4Wfz2ObHCMswHruNeiAWtnYCp6jvpFfppOqpnFR0EktrliLDkv79+1O1uyqmatDeVRFLXW2XqFGSUkKuLZeNwY28sPwF9Fqdq0ZcFbt4lmlhF/bYw3VK31PUxNshkWDbrm2srlrNGa4zcNgcTM2YCtmwxr+GcHO4U7FqrIVERIWiJLcEe72dElcJfW191ST7ETARBhYO5LyC85hbPZdAfYAUUthfvH3327RUtnDJ31W9Vnsysuv2WIv5lxtexo6di+RFCCk6CV5GMWf5HKiFY73HIrIS89MFvUFavC2kuFVL+3fL3mW1tZrva9/HaXcSDCrCja68NV0tZByao1MMx45dKSWEQU9pI5Si1CKuzrmagtSCvY7FiZN8e36nmEWr0UptqJYBvgExpXtvnTdiGbnUvWVKrv/oeuY3zycnLYd/L/s3f8j5A180fMG0bdMoyS8BC1xhF1SjrI7oNfAF0YUdTbNjWl1nsc0omsFqVhNubXPziqDAIR1xM5tAELJChMNhUjUdS8AT9ffy902/wXrU4oYbbohtGyWj0e7RfBH+IkbgpWml4IcMRwYtVkuPLcuhLSa1NrCWNYE1/Mb8DedMPAeWEiOXtZ61NDY3clzoOHDA7qrdhHwhBmuDGZU3igpnBfVWPbltT/iRjoCU8r792TGRBIYPov+WUpZJKVe3f++rhHR7OgNdA2OqCdCW5jEkcxxnpZ9PuisdBNQ11rGqehUBEVDzqpnGaO0oMshAQ+PEvifSP6V/WxzAhOL6Yi5NvxRXiYtWo5XycHmchIhlWbGVFjZiKdfRWNK4zHGMd49Xk5sucNqdjHePpyXcgq7pvLH5Dab3n05uSi5DM4cCUG/T2bKxwxe1A44298TEjIlcn3E9utAZMGBAnGXUPojbXrMuSkYrK1dSY9RgYTG9eDrHZh7LuqZ1PFT7EH6PPy4OBsrFlCpSOyUS1DTUsKplFTvCO2j2NuNp9mAIgzWeNSxrXtYpo6p9CwmA2cfM5pJLLmFGnxmUaqVYjRa7n95N88PNEFaTJgIC9QeWwbD80+VseXNLbPxRMoq2afhD9R94rPIxNF3DMi0WrllImkhjmLNzDZRlWDH3YbAmcYtt566d/GvDv2immfPzz+eMjDOYlT4LNJUJGs1WjBXD6jpew8u7re9SUVsRd6xrj76WqLhq7N5DCduma+mM/+V4XnyxiwyCCI4bdhw3FN/QiYw2tW7iqfqn8Le2+asCWwNkk0tGdj+kgBe2/5f5u+dzStop3HfxfdT4anig7gHuq7yPCRMn8NILL4GED5o/oHFDY9zxg74gNs2JiCQfdAWfX5mb7RU8astrebfsXZqMpth7AsE/qv/Bq2tfVcezLB5tUIv1P/zhD/j97XxuliLwsY6xXDj6QmbnzAZgV3AXO707Obb0WDCJKxbvDmZQLRYcugPDMlSBcaTQOzrzbvdtZ5VvVSxFfvGGxbxT9w5oYNksnmx4kg+bP+zxXEcQ7hVC/J8Q4hghxKToK5Ed96bA4IooLeQJIbKjigxCiFKg+CAN/JBi0oBJXFV0VdyDZVogLFjrX8YG/3p0h/pwW9025m6fS8CmyMhtz+Dk9LMochRh02wcV3Qcfd19qQ5U87/G/1FTV0OgLqBWcS6YlD+JH+f/GKfWZoWdP/h8xmSMAeDN6jd5tubZmHWho+M1vWwJbuH1Xa/TbDST4khhbWAt9+24jzWeNayqXsWZQ5UE1NT8iCyOpmN247/WNR2/5efBTQ9SZ9SBCUOHDqWmqYagGVlddxMzij5s87bMY1NgE0gYkjKEoalDset2MvQMhCU6kVF5oJwFrQswW+NXs1E5oGdbnmXF7hXcveRuPm/5nEsGXMJ1edd1UtyOrlCjlhEALvAIDy0tLQSaAjy28jGWLV/GJ19+wnPlKqPwQFWNU8IpjLGNiVl2YX84loFZFajCtEzKw+Uxok/VU0kXXWuGhX1tiRW+qsT9dNEiXrvDzrj8cUyxT2G4ezhoMDZ7LCNsI2JFyEjVuTQkQyz2Lqa2sTbuWEXuIk5JO0VZRu3cdD7Dx4/3/JjNVZt57733uh9MCPUdOpBR9N6qq66LvTfQP5DvFt2EIzODVrOJ3yz7CVOLpnJ06tGMzhxNaXopawJruCTnEkYNH8V3vv8dGvwNmKZJzaZ4d2HQF8QmnAhNZ7e/jFWrVnUa2pOrnuyk4NFY08iy6mUERNuipNFopM6o48vKLxFCY1X5QpqtRi4tvYyKigr+/e9/x7adOmIqPyv9GWbYpI+rD7kOZZEsaFjAh/UfkibSKLIVJdQGw2lzckb/MxjkViF2K2jx/qr3WdCwILaIPbvv2fyo4EcxMjLCqnwCDTZ5NhGyQjSZTT2e6wjCWOA64C7aXHR3J7Lj3iyj76NiRCMi/4++5gH/OoDBHj4EUSvwdia8JdVz9nH9G7zc/AKWzQIBHp9SCHCnuQmhaiYsIbE8KhDaFGgiJEP4TT+bA5vx+rzc+8m9vNvwrjpwO4sJAAmjskZBWh/WByHbma1iRiakOFLItOfyXN3rPNP4DMvrl+O3/FhYPF73OCYmf931VwDOHKbIyNAVWQjNhhWRMuqIaMC9ylfF482PEwwEGT9+PAA1oRrlSulIRtGYkVdNpD+Z8BNmZMwAofzdjWYjw7KGcVn2Zbjsrk5kVBGs4KPWjzpV2bc/ts/nA0sli+g2XVk/HRaasbbjIt619Vzdc8wrn0dNRQ1YsKNqB30y+lDqLD1gy8gMmbQ0tlDlq4qRYzRTz2u3U5I/nWlp03AKZywOMXPwTHYGdvLh9s6r12jBKBb4axKIeEcQ1Sez2WzU2mpZVLtILSYETMufxuSUyapmJUpGut5JliqK1btWq3bkVjwZLalewrNNzwKwdm03bRiAd5a9w1u1b3VJRk83Ps30H06noaEBK2hhbbIIamDa4ZOtT9MUauQvs/6iiNtr8b9T/scfi/7I3SV388qjryCEYFmtEnOJ9jyKIugLYtNdhDH4d+XdXHjhhXEqHtKSMWu6PRkN6zOM24beRp/sPrH3opZVg7+BylAlb697lAw9i0ePeoyTTjqJv/3tb23WkQUvVb7Es9XPsrp8NeUhpeytCQ1Tmny0/iPy9XxSRArsAt6g2yoah+5gSt4U+jj7qN/Gb7Kzdid7wm29ymKF6e3JCEVGKW7lbg71RvFc7+E8YJCU8ngp5ezI64REduyWjKSU90ZUGP6flHKQlHJg5DVeSpmQvMORhtcWvcZzlc/FC6Va6s/T+l7J9NTZOF3KkvEGvGimhsPlUMkzVpC7G37P59s+x9Pi4Z5V97C2ZW3bJBA0mV0ym5HpIwHY0rKFOQ1z8LaqJbM0JdubtlNuNlFeBlPTj+WkzJPAgONHH88FJd+j2DaVMY5xMYtgSdUSNgU3UWAvwGt6GZQ9iBF5qgfSh7WRyU9oMR2wKKKPZqG7kDHuMVyWd5mKsxgwbtw4AFWER1sBZXSMAGPtYym0FYKELEcWqXoqSPjfmv8pOaPog2TQiYyilfodBSBj2m0C9eBH3BfrWtfxTtM7iVlGRIpqQyEKUgrAhGyZzdDCoVyYeyGj3KNIDSbUVLJLtFa0Qhiq/FUxcoySUdBhp7oGwkEV1NY1XU1yIfCYHlq9nVtrR4usscBXk7hlFNUns9ltfOr5lPda3uP9pvcBMDWTgBGAEKS50hicMhiHzRG7Th3J6INNH/BJ4JNYCngUj659FLuwc/qY01m7dm3cRN8eIiyUKkgHMlpRv4JKo5KK+gq+973vsf3T7fz1/b+yy1GJZUk+WPsg43OmMLXvVFWo6zE4puAYjs04lsdqH6Moo4hTZ5/KyvqVVJqVPPzxwyxcuJBQSN03dsuOS8/gi+b5tJjNbN26lQ0b2hr8Rd2nyA4KHn7UotOldICDwDbPtpi7d1HLp3y85QXOyvo2Vkhy2223UV1dzRNPPAHA+u3r2RPYw/TU6by18S3WehVR67qqMZuUN4lh9mEQhs0LNvPBXR9AfNlbDOFAmCpvlapNk2rh1z4pAmBN0xpebXw1RkZm2OxERmHr8DSV3E+sgm5EJHtAIjkaVUKIdAAhxG+EEK8k6gM80pDrylXWSAc3nS6hOHMw09KOV7U+QknyuIUb4RRqXaLbOSZlFv0c/XA5XJxbei4DUge0yaqELKbmTVXSOIDH8LAjuCNWoGiEDJ7a8BQbWtYStEEwSNuKyFKZfMX2QQyxDcWyoMWm8ez6Z9HR+Xb+tyl0FHLp6EtjlkK/9H4ASF2RUdQy8gGfBKG+GcbmjOXC7AsZ7hjO5emX47Q56devH2nuNKqD1aRr6Xyx9YvYtYi66Sa4JpBhZWCGTT4p/4RKoxJAKQ5oOusa13F3zd00NTUxvf90xqePjx0j2mCvY3vkWD8jAf6Aqn1y2pzsCexheevyTmTUnWXksDkImkFSjBQyRSZ6SCfsD+PW3FycczH9Rf9EboUu0VTeBCac6j41RkZ56XlcMfAKclOL2OXfzlLfUsIyrFScLZM5n6p+NcFAZ/dgyBuKZTL6qveBjCL6ZDa7jZklM4E2K/ft6re5v+p+CMHQkqFcWXIlKc6UNrWODmR0/fjrydNVQUxYqosspWRh+UIGOwYzpd8UPB6PEtDtAt8a8i1Oyz2tU43U01ueJkWk8IvzfsHcuXN56vGnGKWNwtUnl/WVn7Gnfj1XDLlBZUEK1edoSdUSit3FXJZ9GbJZcsU5V+A3/Tzc8jCPb3qc2bNnk5eXx9mnnc2yVctZF1zLpw1vMCDS42vevHmx80cz1RDEFU2vXLOSV8tfJeyAFSHYuAsW1S5iqHMoY3LH8HL1C7jsqWTbCvigaj7HH388xx57LH/9618Jh8O0tLaQoqUw0jGSH47+ITNzZsau2VM1T9HQ1MBnns+or61n2+5tfFL9CWZN1wkWdbV1PLj+QXaF1bU1/EYsoy+K6lA1a3xr2iyjiNoGIqLsrUHIUAR915K7+LTs0y7PdQShENgohHhXCPFa9JXIjomQ0W+llK1CiBmoito5wH8OYLCHDdP7TefEzBPjvrUlQROwtPFDFnrnI2yCk7JOIk1LI0VLAbtymws0jk5TZOSwOZiQO4FcZ27MKjCDJrWttUpWnzaXSDRDTRc61468ltKMsRg2eLPyHe6tvBdM+GjNR7xW8xINZgN7wnsIWbA2BC+se4GhrqFkaBk8MeYJ/njCH2PjPqrPUZyWfhqpzhxFRpGb2QuEm6CmGtDgM89n3L3z7lhvJSEEI/qNwGt6WRNew3df/C4ff6xSpTNTMzmx6EQ80kNzYzNm2OSD3R9QHi6PfRebZsPExGN6MMMmE/tMjDUkhDbZmI7tkaOyQjbNpsgoYhnZbXbCMhyTH4pixIAR/Gjgj8h0xFewOu1OglaQuvI6mgPNBAIBXlv8Gv+q/JdaZCSkD9w1mitUMsRQfWgsNd2tuxniHoLTlUKL2ahWuJgx5XKvV1m+XUkgxYpxBfjq9s8yys3IJduWjU1TvuVROaOYlTpLjS+ykEEDzda1qkCqlsqx2ccyxDmE0pRSADbXb2aPZw+DnIMYkjcE2Iurzk8nq2h743Y+LP+Qo1KO4oYTbuCiiy7ij8/+kVU1q7hnxW+484PzSHFmcmb/S5SMFkpH7q2db2FoBsOcw9C8GpNHTmZ4xnAmuibyx/5/ZO4rc7n88svZtGYT9y69h8e3/plUWybn5V7BlKOmxJFRlLA7klF5RTlbvFtocEK4Bep8kuX1y0nRUjiuSCk5XDbpNtLsGUpBWwhuu+02du7cyZw5c5g2YhpX9bmKqmAVGSKDFJuyTjZ4N7DIs4hffvhLnNJJVW0VBenKOm+p7fqmy0rN4pKBlzDArYrNzYDq+NqejDo25zRCRuy3TklJoTi7mHP7nkuVp4pbP7uVD7Yd8blj/4dy1f2ZfUztToSMonf3GcB/pJTzSLh87whD9MFqt8qLktGKho/53PcpaDA9ezr5tvyY8m8Y5c5rlR58Hh/hYJjdrbvxGb6YSnbAG+Bfq/7FytaVQDshymhNEhp9U/vjsmVi6uCTFgErACZoUmncLW/9iM/9nyMl7GzcRJW3ihFuFax26s44KyG7IJuj847Gnp4WR0bByHfyAEvrlvJ+y/t4wh7+0fQPWluVK2nayGnsDu7mxWaVRfWDH/yAUChERmoGU3KnMNc7lw3lG2Jjz7PnqZqSSGFudBzSkjS0NqgWARHEeho1d2EZESGjoOqD47Q724qJW+ODRk67kzxHXlsPoXbvB80ga9evBVORgBEysEkb9zTcw7ub3k3gRugazdXNEISNwY0YHjWepvomNjRsIChCMdkogYjFjIyQoRoKhkKdYgcxy0iAr3EfyUiCzWHDIzw0Go14pSK9QVmDmJIyBQKwdO1S7tl2D4Yw2KDp+KzODeA+2vYRXoeXK7KvoCRVqXi8t00lLAx2DGZQlrI6uiOjRz59hIUtC+Pem7NyDkIIJrsnYwUtnnzySSb3n8zvtv+OOV/czYj8Y/nFVR/g0lMRmsBus+P3qQVISAuxKbAJf62fdFc6d024i5+U/ASH5eDck87lr7/5K1cOuZL5R3/CmzeE+O3opxjhGsM5Z5zDF198QWWlstKjmWpAnLah3+PHLdw02MEIwQ6rnKZwExdnXUyKlsJZhedzzpgfI0Sbav5pp53GtGnTuOOOOwgEAnzS8AlP1T3FRzs/YldAWTVLG5YCsK5+HY80PcLYm8by9PynVaZkY9dJM26Hm5EZI8m0Z8bGbISNODKyReoXrYAV++2jZKRpGtdfeD3DZg5j7oa5SCQXjrmwy3MdKZBSftTVK5F9EyGjPUKIh4CLgbeEEM5E9hNCPC6EqBFCdHmXCyFmCSGahRArI6/fJTLgA8G98+/lzcY3496zommWWuTe1qDJaqI2UItbuEGPJBRZ8N+mB/lg1wc0NjTy2MbHKPOXxUgn6AvGJmvoLEQZDoZZUbOKJn89lg2MyIoIA44bfhyn55+PhcWTzY+zxbOJNQ2fATDYNThOiSCGFOAkCGeAqREL5gZRrkcfkO9uqzD3SE9s1TyudBxe04tP+vje+O+xfv16HnroIUKBEJ6gh29nfptRaaNiqd5D3EO4IPMC1VhP0+O+2+PLHmdB04LYeXRd52PPx9w5907+/Oc/8+CDD6oAd6SWStd0fCFfTHwzpvnXGu+nq6qp4p3qRayX8RaHw67cdIEWReThUJhwMIxd2BmXOY5+ol/PN0I3aK5RltH7vvcJtarzbi/bzvNlz+PDD5oW45s4MiLiSumo0xYRGUUDf1PiCQzhoOpfpdk0WoVaQNQEVbZZkCC14VqsVotMdyYDXAPQbBo+U8MIdSajhWULKbPK4Fgg4sF8b/t7DMwcSLYtmzRbGn379u2WjGqbagm2q2C2pMVTq5/iuOLjyNAzMP0mKSkpXDzqYh4Z/ggf/crH/82eR2nfo7Aia6c0W5oiDwvqrDqebXyW2spaCjMLObfoXAZmDMQb9hLYGSDl/RSmiCn07z8MDZ1JfU7mzKyLOP8spUr/9NNPA22EPTN1JrMzZ8fGF/AGcOKiXoAVgg3+5QDMTp/ND4b9gHvGPIjD5kJrJ8clhOBPf/oTu3fv5peP/pqPWpbhM4MsKF/ArsAuLGmxrHEZo1yjKE4pZpF/EW6HmxcXvYg0ZCcvQBTeVi9bmrZgCHVjGAGjTSg1go5q61HpqRgEoMNLG15iePZwRhW0id0ebHQ1ZwshbhdC7Gk3T5/ewzF6pZ9RFBcD7wKnSimbgBzg5wns9yRwag/bfCKlnBB53ZHAMQ8Ifp+/U0DcikwWaKiHR4PHqx/HE/Ko1sACooswXbNjhIy2gsx2DfBC/lCsOBLaAu9RMgr4AszdNpcKXxlGOhjCRtgy4mJGVYHdlBu7+aLpM9bWfcKAtIHkOHIAKHGVdPo+MnJPy3Yxoyhx+gUMSC1lgntCzJ0RDVL7g2piLLIVccvEW5gwYQIvvvgiO8t38sDGB3BrbjJkRptVF3FJSUvJ4rQnozMGn8GkzLYQ4vvl77PAu4CnljzFbbfdxg9+8APuu+8+NKHFFL8DYUUkTpdTSQHJNsWHKHZX7+b9mvfYUxWKWX2gLCOJpLVeCcCGjJBSE8fGCYUnMErf/4dV82nqAupttSsj+47khv434HKngdBj13Jc9jhmps+Mid0GrWAn1YloVtzVeVdzSuopCY/DCLVlVGWkZ4AAr6EsozXNa/hX7b/w1nsZVjKM8/LPU2rvUmAJyRs73oglAUSljHShQwGQDSEzxIIdCzihv0pwskIWYwaOYeWClWzdvDU2QYOyZsOhcJzK/We7PqOsqYyLhl+kxupX8lj+Fj+l6aVouNCiz1Nkn58M+AnHpx4PEtIcqmV6oD6gXFMG9M9XLPnQdx/C+MLgW6nfwjk4C0uCZQckjBwyktmzZ/PAAw9gGEasWLvQUUiamRYbn9/jR9fc+H3gdlu8sfrvpNsyCVthBqYMJMedH1Pqb19Me8IJJzBjxgzmfvYKQQMClom0oNyl89GuZTSEGhjmGMbFAy7m0tRL+eVpv6SioYLd4dpOrcOjqKis4Jltz5DqSOXb2d8my5HVpZsumtwQ++21eC2COl8dH5V9xIVDL+wUQz3IeJKu5+x/tpun39rbAQ6kn1GPZCSl9EkpX5FSbon8XSml3EthQmy/j4GudTwOA6QlCQVDndpHWKBcdzpKT0uDU/NOVQkMEX2rYBgsmyKjcLidAkNEwgeBCmC3J6MOlpGaGAA09DQIO3UWtX7GFTdewbwl83i15jl2B7cCUBHczYqaD5heOBu7ZmdyymSGpg/t9J2i6hFmOzIKogjWnwIhv4XX8sbcGdFGesePPp40PY2fF/ycERkjOOOMM1i0aBEOm4Pz+55PtVXNnvo9se+5JbiFP1T9IZYerCY/gwffepD+af1jRCml5J7l99DX1ZdbC27lzhF3MmL4CFasWMHs8bO5tfTW2MMX1TvrzjKaNHQSNw38NTZnKu2TiZx2J0horG2mVYLHDBH2K8soZA9R1lDWbWZYTzij/xmcn3a+yv6K1Fm5dTd9bH3AoaPryk2XY8thSMYQxrvHx1xEISvUSXVi7ICx/G7o7xiQOQCHP3HP9oiiEZyUc5LKqEpRccuRbpWlGZetGCmglDqETVgXXMk/1v2D++9XTfli2nXtXJ1rqtfgDXuZ0U+l61uWxaDsQazds5ahw4fypz/9KbZt2B9GmjJO5f6pVU+Rak/l0lGXcmH2hZS4Sgg2BzHDJqnOVAxLtQtCgBmdN/W22ql0tyoqDzYGWbZ6GXesu4O8Pnlcc+I1jG0Zi2uTC4ZAyK68FitbPuGl+qfAgptvvpndu3czd+7cWFr7ptAm1jWuUyJl/wJ/sx/hdGP44bU9/2bzrk+5tO8P+cDzAesa1lEXrlc1p0LvpOxw2mmnsbtuFwHTr+YGE/xhnec/fxUNjWHOYWTaMhnuGM7swbMRCFZ71/DC2692mQASHWOmM5OhzqE4cXYmI11nT3gP3/rBt1izZg0Xj7iYo7OPjn2+smolN751I6Y0uWDoBQnfQ/uD3pizpZSvAgeW2n2IcIwQYpUQ4m0hxOjuNhJCXC+EWCaEWNZRSypRmCETy7A6N9aTIDRwp6Urd5eAURmjuCHvBo7OPRoLCJlgOkDTbIRD4TbLKNKNNV1Pj/UMau/vhbaYkWmYEZeghtMFdaKOD70f8syrz7Bs+zKl2ODfigOHki8x/RxbOBtN0whb4S4nWImyqKRoixkFDGXhhdJgWc0atgS3RC5im2U0fuB4KqZXcHPBzRCCM844A9M0WfzlYsZljuND/4esqF4R+5459hzGu8er7ydUzGilfyW/f/b3PLz8YRoMdf++t+09VlSt4PaTb+f3J/yeX7l/xcSRE1m5cmVsmXxqzqmcnHkyx2Udh8PtaFND98aTka7pOIQT0y6w2k3yToeTjzwfce9n9+AxAjSGvDy/7Hk0oXH2srMZuGQghYWFzJ07d19uD3Uxa9rUqaNktLt8N8vqlyFtgNCQEs7JOYemcBOlq0pZsFsVMIbMzmRECDRTYyMbWVSzqNuOpR1RmlvKlLQpoCkR359f8HPOm3We+v72tpjce0ve4y9lf8GM1JlVGUqx/c4776SlpSVOyiiKZRWqrmdSobJmpSkZ1GcQZxWcxYiBI5g/f35s22itWXQBV+er45k1z3DJ6EvITc1lTMoYMkVmrIV8iiMVw4wYkILYbz6/ab5q321BWkqairE2BuiT2YdjM4/F6XAyYOgATrj4BJgCZEUupQl2p4tULR1MdZ8OGjSI6667ju/97HuMyRxDWaiMJQ1LoAw+ffJTGssasdtdVDWV8ch7v2Lc6G8xNe90pISXd77MRu8G9cwLPc4KBJgxYwYAlaFdsWcLNN4qf4EZBTM4J+ucWHZktp5Nad5glns/5TcLf8G5555LOBx/D0cVMoIiyIbABrytXlK0FNy2Ni3Gz6o/48mGJ/lk5Sc8+uijDHAPIN+l3Osbajcw5ZEpzNs4jx9M/gET8ickdgN1D1t0Ho28rk9wvx8JIVZH3HjZe9uwV/sZ9SK+BAZIKcejRPVe7W5DKeXDUsrJUsrJ0eycfUWwRVku0YcZ2k3mOhxz1Y85c9qvkTaoDFeqPvXuLMUxBpjOLiwjoZHmSuOWPreoxmXtY0YdyMgKW0gLpKbhTIW3dz+BRJKdkc1bK99CExq7/Vvoa+/PiTlK5v/o/NkEZIBV/lUsa+nc6d2K/Cc6GUnAHwaHBuEUMIyoHw+1Co5YacFgELuwc0/dPXy06yOmTp1KXl4e8z6Yx07PTiSScLDte/Zx9eHEtBNVhlckgWGpXwV0X970MstblF/+gaUPUJRWxBXjrkDY1LJ4wqgJ7Nq1i0/WfMIbdW8wIn0E01Onc2L2iWgOLZbA0JGMyvaUsbD2PYKagdnuo9d2vsZC70LWN6zjvzX/4s6a2/hg2wf8p+o/vFfzHqNdo7Hb7Dz66L51OfHV+3jsi8cok2VqPJFCyg3bN/Bu3buqc2nE129i8mTZk+wO72ZR1SJSRAqfeD7hnn/dE8saBNi4dSNvVLzBZmMzS1uXJiyW2tTcRGOoMfZ0pmamYitQ91XMMmoJKdV3CYYG26vXsi6wnCv6XUl9fT3//Oc/41S9o1heuZxsVzYj80dyVe5VDMschj/gZ1L6JE6edjJLly6NufmiCRgOTZ3zgSUP4Df8/L9j/x8mJjtCO2huaY718HI5UpEWCBvKMoqcs0W20BBuiCOjYEuQfjn9OCn7JOyOiGq7gKisYAiwhWFY0RROzTgPTGVFPP/885xzzjl8uOhD3ip/i0tyLuHRqkf59eO/Zn7FfKiDoAhz3yfXIYTgBzc+TMipx9zhQqi4n6bpGB06MU+ZMgVds1ER2sXW0Ga+bFhOmXcTuz3buGrwVfRz9IttbwZNZg46mX6OQVxZei0rVqzgzjvvjPsdo5ZRo9XI803PU1VTxc3jb2ZmrkoX39W8i98s/Q35tnymjZrGG2+8wZqKNdSGlYrGL+b/ghR7Ctt+soN/nPHvg+GiM6LzaOT1cAL7/AcYDEwAKuk5M+4sequfkRAilbY2EsNQigxvSykPqBJLStnS7t9vCSH+LYTIk1LW7W2//UXswepoGVlqFedIs0OqsjCer36epoYmfjrgp2hkIk0w00DT7YQMf2xSb986Idpt1CYik4buIFvPRrPaSEmpPWg0hspZVvE2k13TOOH8mfz1yb8ya+AeKv07OdY9g9tK72Lg4FMocJcwLWsaG8Mbu44ZRf4jIwkMBmAa4LCB6YJwh5zcaFHrO8veYVv5NgIECAQD6LrOqaeeyhvz3mBo36FoUsMIGzEiFUKgoXFW/lkMcA9gfu18aowaNKFR6alE0zQa/A28u/Vdfnz0j3HanGxq2cSGxg2MH65qkJZvXo4z4KQyXEnQH6QgtYAUPQW7zY6UMq6KHmBPzR6WNS3iODELM2JxPLL8EX675Lecn3k+BflFPF/2PBdnfIdV9sV8WvspuY5cLsq+iNrTa3nyuScJhUL4q/y4slw4M/bertmoN7CZttjEaPiVGRNNjrAECF1NZG83vU2tU00YPsPHs03PstK/knf/+C7zV8xn7ty52O126urr2OzZzM2jbkaTmsq7z9jrMNTvs/wdmmqauEG7odNn7VPno8FwQ4N31z2Bjo1rir9L0/hGHnzwQX505Y/i7klQZDSpaBJ2m52BroFgg0mDJrFm8Rpmjp/J/c/ez4o3V3D0eUfHdUb2hrzcv+R+zh5+NiPzRxIIBJhTP4dvVXyLzPrMSAwwQkZ2VMwoQqbn9zuffi39eNN6E5fbha7pBDwBgl7l3oumT7dHCNDDYKbTzp8OkydPZs6cOaSEU3js+cdozmhmkWcRi95cxEmZJ9Ekm2jc9DzbWjZy87X/pri4PzvdlVimqifUNB0pozGjQFubC1Rdz6CCwZTVbWGtuZxQa5CtvnJsmp2ZhTNZXbVa5RELFQ8clT+W9NwCTi2ajXGMnz/+8Y/cdNNNZGcr4yHWQiKthBvybiDbnd22MJQW18y7BguLy7Mvp+CYAn752C95KPUhLkm7hDU71vDG5je468S7sNKLWNwMM0OHvseelLI6+m8hxCMozYm9bX/N/p4rEcvoY8AlhCgBPgCuQQW6DghCiD4iQvVCiKmRsdQf6HG7Q9ATjNW2RBFz09nAZoOAGwwfMS2oeqNeJQQYIO2g63bCpqHk42WbRMj/Gv7H6prVcZZR34y+/DDvh3y6/lMsS3WZlBJsUmd77SokkqH2kXzvjO/hsDl4fPe9WJgU6H0o823ntJE/IizhxPwTuTHvRopTOssBRscvBZimihfJMNjcgBuC0Qy8CGFGyUVKiRBC1QxFAvAnnXQSTa1N1Afrcdqcyh0ZsYx2B3dzd83d5Gg55LnzeHbzs6RqqZw7+VwqvZUIBHM3zCVshbl0zKUANIYb2RHawbgh42Ln/EHJD3ij4Q2erH2SR8sfBR1KMkp4p/UdLvnnJSxevLjtu0VchELXMAyVTnz9G9dzWulp3Fd8H3l6Hlfk3UiOLZ9Ti09lZtZMfjH6FyDhxGkn4vV6+Xzx5/zz2n/y/M3P93h/ZPgzuKrkKkbkKoWLqJsuHAxjxx5ZTavf1qk5Wd64nJHOkfRL6cdK/0rOyDiDv930N958801efvllAGYMn8HP+v8MzRlJ1UywBmr64OmcnHVylzOPw+5QbsGWUEzTMCxg0ba5DHaPpCXQzNVXX01VVRUff/JxnGUUNIKsqV7DUUVHYUqTNb411LbWqkxHqTF99HQA/ve7/2GWmbEFnF2389iKx2jwN/CLY38RG8fV+VczOn003kYvhMGdmdZGRiKSqQoqZiTDyu3msKv0fG+QhV8u5J6ye7r8niETNAvW1X3GQ7V/j5lZ79/1Pq/84BXOO/E8wlaYV5pe4eysszl72NnMb56Pz+mjpHAQl4/7LWd+6/sASF0QVWsQmor7DU0fz2T35DbzLYKhhcNpMGoJyxCZtiy2tKxkWtFp7AnsYalvaSxV3wyYWIZEAsFwiO9///uEw2EWLVoUO1aUjNwON33sfdCCGv/b8D82ejfyyc5P+HDHh9w9/W7uLrmbS6er5ybfnc+kzEn88eM/0jejLz+Z9hPCQKAJfIchAi+EKGr353lA99pRavs5kZZD0b+zhRCPJ3KuRMhISCl9wPnA/VLK84AeU5aEEM8Ci4HhQohyIcR3hRA3CCGiy70LgbVCiFXAfcClcn8jzwkg5FEPllOPbx8hI5aFzQahFPB7YUDKAHL0HPql91NuOgt0J2i6DcMKt5FRJHmh1WrFG/TG9MTUBYAnGp7gsn9fxptvvqksIwuE1Nhdo2S2j0k5jqLMIq48+kqaInGXQlsxW/2bQAhMAQEZoDZc26UkSMR9rRaOMpK8YIBMAz0FQpFJKErAUcuofZp1tMHflCmq/0uFv0KRUThMblYuN4++mRFpI6gz6/ii4Qu2+7bz1s63uCH3BmaPnI3f8FMfrue5dc8xOHswRxUdBcC0wmn8tOCnFGUXUVRUxMrtKwHVF+ZbGd9S6bg6vL3rbZb4l7CpahPHHXdcTPJFSomUYGkCw4C/L/47k4sn8+hpj/JI4yNIA0akT+CirGuYlTeLB0c/yLTCaUgpmTl+JpqmMe+5edACO5btAGDVC6vY+dnOLu8PWSmhGWzZkb5V3rbW3lHLKC+1H7/MuZ3LCy/n05pPmZwymQemPMDolNFMdk/mquOvYsiQIdx3332Rm079SHvMPcxtnIun3NPluTuiX2Y/BjsHd/l0xiyj1lCkc6nGbu8eqlp3cE7+NZyd/f+5O+8wO44q7f+qOtw0OWqUc7Isy5KDnHPACQdswDgBJsMSdmHhg2VZFpawC+yul2VJSzLJGQzG2cbZsiwbB0lWztJocri5u+v7o6r63jszkgW7fNhfPc+ANXO7b3V3dZ3zvuc951zEeeedR0NDAzf/6uYaY/TS/pcoR2VWTF5BEAXcOngrG3s3smXvFrLlLPVePV2tXdy39T7Ucyo2RkIIvvbk1zhh2gmcMF0bLCklM5MzaRAN2hgFkKxPa6bBGiMz59/3/Z71hfW8p+s9+J5P0ktSyBXiezvswKoyBFWGITSIJaDMaDiCCvTa3bdtH/2P93PsnGM5s/NMGpwGlqeX86uzfkXuzBwvv/9l/vPK33LNEZ9H+voGWkSrY0U67jerbgnLU8vHGaO5HTqBe2nyKC7qvAxP+pw3+50sb1vOiXUn6s8LrXoLTfx6TnIBRx99NJ7n8dhjlQoJNmZUlmWeyT3D/p79jJZHKasyD2x9ACkkV86/EhRMb57OksVLuHfHvWzOb+ahbQ/xoWM+RNJN6vdcwJ8YLj/kMdGeDXxVCPGiEOIF4DTgo69ymqVGdQ2AUmoAOPJQvv9QAjBCCHEc8DbgnYd6nFLqra/y9//gECV//xvD5nxUq+liZOFoYxSkINunPcEUKby0p/cTZYyRq3vDxMbI0dLu93S8h/6WfmamZ9KYbASgr9DHV/fr4qYPPvggy96yjCgCV0h27X2FhlQ7b2m4jowDR007ig2tu9hR2MGbG65m1pQjeVZq2u0b279BcbDI5R2Xcxi1Go+YphM6t8gWdKUO3HooCU1JnNp0KttGtsWGuNoY2byUBQsWkEqk2J3fTSKVoByUcZRDk99E1s3yy8Ff8uPBH3Pe6MWEUcj7Wt/H7i4dMH9y8Eke3P4gnzrxUxVeu6p+3bJly3ji+Se4peUW3jTtTUxJTYEU4MA/P/PPtDlt3PGOOzj52yfz85//nM9//vNxbTrhSPZku3lx/4t86Ywv0VbXxiXNl5BNBeDMZEq2lZVtM2AY+oU26PVePUcffTQPP/QwF3oX0qk6yWaz3P7d22EYPvf058atj5/e8VNS21OccuwperPJ1yKjSEBAxEd634eTD8gGWYqqyIVdF3L00qNZ1b0Kv+TzwQ9+kI985CM8++yzZJ/Pku3NMrt1Nk9kn6BpVRNHHXMU9fX1B12rO/fuxCt5TBKTxv0tkdCtMkqjJcJEiIPDk7t1Ttqy+hNRoaabLrnkEm675Tb+au5fxQKGVXt1bG9F1wp81+eDHR8k05rh/r77QelcuVOOOIU7f38np//N6Sw+ajEL3YXc03MPO4Z28B9vqHpdhe7T0zLQQnYwqwuHJqROLHcxnYn1R4fCIQaiAbpkF/g6blvIF5AliYfHiAP9+2EogNYZ+pgw0utDGiVgVNQo8MJFFxK+GNLoNHLHcXfwmw2/YV3fOn7whx9wgnsC85mvU7siPQ8RVS1GVTlfXuUZLJVoDRtr7u+iSUs4peE8Lqu7kj3+Rr5zyhpmTjqMeh+WpJZQEorHRh8nLOkE1sXp5Ux2ppNOw4oVK2qMkc2FKssyvx3+LRcPXMy7F70bdsP7n38/R00+ipIqcevgrZzcdzLXvuVaPv7Zj3POwDmk3BTXL79eXztalDQmhex/fRxgz/7+H3kaKYRoNkYI0/nhkAL9h4KMPgx8CrhdKfWyEGI28NAfOcG/+Mi4GY5oOEJLS82wMSNc8DwIkpALYGdhJ7tLu4kSkVb1RCASML1+EcenTqCzvpOLp15Mk9+k17mEFtHCcc3HxcUNNw5uZHNpM1JIHnzwQUrZElEACddn5671TGlZoCdR1MbhssnX8qMTXmJJ6sgK2gGOaj4KGN/RtXr+yggYiuj/l/XaeIYJLaOelJjElc1X0prR5fCVUgiELv5oFEWO47Bw5kL2FvaypbiFz+z8DP/4tX/k3p33sim/id6wl5FwhF/u+AknTjqN24dvJyN1UdJvbv8mCSfBu5a/K57bK0Ov8JP+n1AYLbBs2TK2dm9lS34L24vbeTz7OIPBIKv2ruKRnY+wMrOSdJTm5JNP5uabb9aoyHI8juD3ex4E4IxZZ+AnfI7IHMGRiRXIRIKXCy/Qn+0nIoop0iAXcOaZZ7LmlTV865Vv8fH1H6e9vZ3+oX4dTh0zVKTYs20PHh5NTU28r/19zMtoKX25VKHpNg2u4Ucj3+G/9/03EskMbwZffvnLDDDAGxveSKNs5LrrrqOuro63v/3tPPLSI+zM7+SB7gf4Ws/XOP3/nM6b3vTqGfS/ee4346oe2GFpuuJoMY4ZPbXrMRJumqFokEcGdWmnK6+8kpHsCPMb5jM7M5tdw7v4z2e/Q32imVn1sxFS0Oa3kZIphNI0VlgKueR4TX/t7NnJd2/5Lh9d81E+sOYDLGxfTPOs86mqvMOdQ3fywv4XmN88n5MbTyY0OUHK0QpVZdCRdDxGwhHWDK3RqROTz+W0zGlxflhkWMxqpXWgtF5E2AKwJg/nxc0v8uM9P2Z0YJSBwgCtqVYQsH1wO0Wh830ijBGyJIWlqy1Np+CpgXv5777vj0NGjakmLmm7lgsa3sJ7p36UqfXzCRV05/ezo7iDI+tOIaugOBTgRA75MEd/QTtBJ5xwAqtWraJQMJ1sA03T+Qm/UiFf6Zyxp3c9zWkzT6OkSuwp76GQK3Dt5deyvG05+4r7uHrp1bSkWuLriYByxOthfA14Qgjxj0KIzwNPAF89lAMPJc/oEaXURUqpr5h/b1FK/dX/aLp/gdG1tItL3ngJTfVN8e9iZGGQEUldRqcY6fiSSAgd3wy0MZrSMI9jkytpTDSyrHEZaV8bnu/v/z4P7nuQ3mwvkaNXzK82/woHhw+c+AFeeOEFnMjnso6305rsZOfO9TTXTebr/V9kz749Jj4iyatRfjt6B7/puxnbVWFxg2ZEJ+oqqeL/qdB0MgDqQUoIXAUKnhg1PLZ58WqQURU3smjGIvYW9/Lbgd/SW+7ls//6WT6++uM8Nqi9vbObdfL1VdPez4LEAtqT7bQkWiipEp895bPMaJoRn2s4GGZzcTNBMWDZsmWEUcj+0n5+vPvHXL/zer6979tcfcfVTKqbxI2zb+TIpiO54oorWL9+PS+//DJRGCHQ9Mqj3Q/QlGxieddykLpcz+NDj7KztJ27h2/j3zf8O6tGVsX5NEE+4GMf+xj/9IZ/Yqo7lSPSRxBFEY/veJxp7vRx93F03yi5wRyTGibhei6dfifJMAlU0XTApkGNLK7uuJqvH/N10jLN4rrFNCWatAEdVjQ2NvKLX/yCnp4e/v62v+fe/nv57KrPMsmdxIkLTmTNmjUHXacwceKjHdKRLK9fzn2b72MkN4KDw+pdj7OgYyX7yjvZmtOU5BlnnMHMqTP5wcYfsDu/m2X/tYzNvev54DHfITcgUCieGHmCnYM7Y88nLIYcMfMIPjXjU3xx7hdZ9711/PPif+YfV/wjN1z6U0b7JP1VLKcrXYJywLz6eaxMryTyTHzeiOMioQta7w20MX9g4AGQMKNhBpPdyTo/DC82RtVtUMwrgXB1jMcmuT69aRWDxSHWbljL97Z+j0Aa7irQ7drtsUKhkZGgUjlDoa0kMK/xSM5Knz3OGJ1/2Bs5s+li9of78FUC6XoEEraP7uCu4bvoL/czM7GAplIL7178YQpRjnt67wS0NLxUKvHss3qdLJ62mDd3vBnf83km+ww3rLqBb77wTW7aexPlqMzps05nSsMUPtT+IabVTSMsh5w/9Xy+sOgL/NMZ/xTPyd6W8p8tiPG/N5RSP0YnunYDPcClSqmfHMqxh1LWZ74Q4jtCiHuFEA/an//ZlP8CoxmYRW0vIwAFkaMXrcwY9a1lmnxtjKyXlafIYHmA7FCWnaM7KZtS091BN4/2Pcp/bP4PSpTYn93Pf/3hvzi/8XyuXHYlAI8/8xRTnBkUVZbBwR6mti1mWeJo0k6aKfVTaE10smnkBV4sPM/m/Cs2LzQWUxwQGRmaLjLIyCmBqtfXE3oCpSAX5fiX/f/Cjv06MS+KqoxRVa7FwhkLCVXIK7lXOKfxHN53xft4ZegVXhh5AU94XNH+Nm48eyNnT76MCxsvpD3ZzsyGmczPzOdjx32sZm7WMITFkGXLlgGwp7SH3/f/nvXF9Xxy6yfZ3L+ZX172S10MNQ+XXnopUkpuuukmkxOlN83Huu/ntJmnxe06fjH4Cx4afIBBhlACpnszmJGeESOjsBji5lzcEZcLGy7k6rarefs1b+f5/c+zr5DlN7/+TU3e1r6Xdf+izoZOQkKezj7N7l5NQZYLZTzpESnYMbQWD48rOq7gmA7d3PDctnNJekn+cf8/8tIGHds9//zzWbduHUu6lnBr360Ml4a5uPFiTpp3Er29vfT2HlwwOq4kTPUzVxHf2PcNvviHL/J3N/8dL4y+wNru51nceWIlkVPp+3/NG6/h4X0Pc/HTF1MMi/z8Xc9w3Ow3MWIk5vcO3cumgU1x4DEshmzZvQUU9PX18fjDjzPXm8tnzvgMCyctIxJQqDIYlubt39tPQRWIbIEKV+/5kdINc6O8hyrD+ya9D6R+X17JvkKQ143kIqMvCK1jhYnlulWVTEzCdnfvCKNAbkBXfk/5JmenDHWpOnOP9Ctsq+5MbprPBek36i8xyKijfjqHJZaMM0YqhD7Vw88Gv8tN3TcyGo4QOiAjfbIf7vsvzmt6C0vTR0AZVtafzvH1p0GkkRHAo48+iooUbXVtLKpbRCQj7h+5nx+t/xGfX/N5/nPrf+JJjxOmnWAmChT1/ZdIrph2Ba3pSptxez9eD40khBArgZ1Kqf9QSt0A7BRCHPtqx8Gh0XQ3A88Bn0GXAbI/r/thBQBW+erVa8r7uqPfzkWzL4JkBfILD9aNrubf+/6NdRvW8f0t32ck0JxPQMBQeYjLOi7DT/h8/L6Pky1nOTx5OHVuHfX19dz1yG9ZO/wHNuVfBmDW5BWcmjmbJr+JixddzDEtpzCjfjFNbguO9OI8jTu7tdflTCA5UlU/kUJnvwdARiOjZKaJY5MrObHpRBYkFsQSWhVpms513VpjNF0ryXzh88UpX+S6866jGBW5ee/NTPWmsjG3gYRfr/OaUITFkAumX8APl/2wRqUItRUo5syZQ9JLsqe4h43ZjUxxp3Bc43F887xvcvLMk7ll8BZW71hNZ2cn5557Lv/2b//Gvr59SCHpHtnKnux2zpx9ZnzulJeiy5tCR/1MFLDCX0FXqovOTCcn1J2AH/qEO0LmefNoT7ZTikp85J0fAQWf2fhXXPjGC7njjjvi83Vv7IY8dLZ1goTfDf+Ozfs3AwYZOdoYbRxYTac7GV/48fWVgzKe5xGJqKYsTFNTE+84+h1c2XElXzvla3S4HcxqnQXAK6+8ctB1GZSCuDLF2PEfq/6Dh4ce5v0z349Sim/u/SaRiljYcQLCMfUOzSN9w4lvwBEOfxj6A1847QvMaF9EJGC0pJNppdSt089dcm5M01lqaSA/wOzR2UxPTYekKfagoFDlnbuORkbfefA7PDjyYLxp2piRpZeEuRZPeuDAc0PPcVvfbeOQUVRtjEy+kvAMMiqFqEihSlroMNqdAwVJP6kPLkOmTiOjuMQX2inz/RQLvUW8rettdKSngILhcIidxZ3jjNE9L/6Wl/PPsTi1nN2FXeSjLIEEYd6/FY3Ho1xBVI749eabKUYFpjjToQjt7e0sW7aMH3/vx/zDaf/A5rWb2ZLdwrN9z1JSJc6ZfA4KxerB1Zw681Qyfoah8hA/7P8hW3ZvqbQOEbWOiHU6y3/WSkD/a+NbaILJjiyH2OXhUIxRoJT6llJqlVLqWfvzp8zytTasMbL7vJuCfBKmdc5g+XnLwTNpCCHgwqTGuVxUdzFzm+Zy1bSrqE/o+NOq0VV8Y/c32Jrdyj37HubHf/gxH1j+IVzhUi6WOeuss/jNo3fw255fsqmwFoDO9nnkowJhXm8eSkCd18wUbxaOcGNjZJuCja2pVz1/ZWS0odIvn3C0MfIaGziz8VwWtyzmwsYLaUvrvjYWGc3MzGSqMzU+X1dLF3VOHVdMvoJlyWXMbJ3J1PRUFIrp/nQzD5f9xR7+Yd8/sKl7E5fPuZz5dfPHza26v47jOExvm86m/CZ25ncyLzGPLy74Iu85Sktvt5a30j2k0xluuOEGwjDkG7d9g0jBhp6nAN3+w446v44G2YifrEcJ2FPYS5kyXXVdnFV3Fhk3Q7Nq5uK6i1nRsYJZ/iy66rs4a9IbOanhHGbPnM2XvvSlGB11b+2mUTWSbEviuA4fn/Jxjm8+HoCrDruKM9vPpBwGbOl/jg6niw35DXFS879s/Bf2lky/p9HaEgxhKeSKzit40zwdJ5rVqI3R+vXrxy/GqhEEE9N0kYr43MOfY1FmESc1nMT2L2/n9kW388HTvsCSSachXIN0zQa78vCVvH/u+zm983Q+eMwHCSNtLIYs8hcCFSndCkFp9VdQ1vX0IiIOKx3G8snLY8pYKShWbYiWprtg8gUc0XJE5X2yAgYqMSOAJ0eeBAnHTTqO61uu18jIGY+MQvSBytU0HWjUYDvnKiA7bIxRIhkflGrQKMm+B3aMlgd4sfQCU7wppBIaPa0feZYfDf1gnDGKQoUjfc5ouIiPTf0sjclOyh44phDkYfVH8ou+b/O77rvYn+9mT2k7W/Ob4+ob119/Pes2r2PPjj38+le/5ubum7lv130IBBdPvpj3L3w/z572LL96y6/MtEO2lbYxmh2NjdHYSvUWjL5O+r2KalW0UqoqenfwcSjG6E4hxPuFEF1CiBb786fO9LU0rCdn4bzrQj4DxaogdxgZZORCY10nyxLLaJJNzE3PjasHbM5rL/qj6z/Kux94B5Mb5vLOqR/X8tYg4uMf/zjD2SESMsHu/BZc1yORSHPDwJfZuHMj31v1PZ7sf5CRYID1pZd0UVLHVI8xL9XYBWrnb5NeI2Xmap6olFBOQfYoYJ6RShvS+bDJh7Ess4wzOs/gtIbT4tU+f+p8bjvyNj6/+PP8IfsHBvsG45p4M/wZ2uuVDpH5EhlKlrQsoTXRytgRV6AwUdcZ7TPYXdqNQjHNm1aDpDzpUS5pEmL27Nl8+ctfZs2mNRxedxSbe1eTcJIc1lFREvYEPazPrUUl9Rp/avhJtuW2EYmIfJQnzIVEpQhVVKyctJILGi6gNFRiQf1S3t7xMT7xoU/wzDPPcN99unvqcN8wzaoZTJPYtJfm4R0Pk8/naXFaaPQa2dq7llKYp9ObzGg4WuluqyCVMAV1s7UFM0sFXQvR3otJdZNIJBKvbowmoOkKwGN9GxkoDHD11Ks5IX0CSZHk4raLue7ET+MIDxxD09ndK4R/P+LfeeCsB0zfHEDAqNkqpNDIaPO+zdoYFSrICGDv7r1QH59KG6OqObmOS1AMWNK4hCl1U/S+rvS7Ig0yCjHGSMHq7GqQ0JhupN1rp5w1FKg5zu5g1cbIcc06Kmrkabe5/HCOghJsdxL6OAEyaT47Bhn1FfZxT+4uVg2uIhvmUEZVF0WRVsZWjXPnX8DRraezqfQKg8EQyhFECeIM3u6gm6mpOUx2p/KOeR8kQnFn/03xjbnqqqtIeAlW969mZjSTN3e+mXu338tUfyqeCao1+81x3cs4zlkMatrNVw/rRLxOkNEWIcRfCSE88/NhYMuhHHgoxuhaNC33BPCs+Rlfm+Z1OOzit6g4lndXVfsPld7gpQM5lWdHaSfd+7pZO7SWgIByWGZLYQttbhtbClvYM7KTj536I3wMfx1ErFy5ktOPOJsf7vtXfrX228yauQTX0y9RWAiZnJlMndfM7vxmiqpIMSoSuYbiMF1nJ0JGMU3n6AUbjnkJI0crcPaU9vAP3f/Axr26Tt2R047k6PqjK0/feIcdjR2c1XIWe0p7uH3odkrZEse2HMsXDvsCcxJzNKXpuERmcy2VSmwd2spoOD5/pjpmBDCjTYsbBIIp3pSaskye69X0pLnmmmtwpMMzI4+yuXc185qPrEUKjqGDkgmtJFTaS982uo2v7P8Ku/bt4qHVD/GFzV/QPpmCdJTmpJZzOCy5nGsuuZauri7OOeccli5dyv6B/XjCixHy/9nxfzjrvrP40Ic+xFNbnmJXeRfr9+ryR53u5EqBXHPvXNfFd32dPlA1yiVN8dl8NBEI5s+ff1BjFAURYRCOQ0b7gTvXrQLgwikXMk1O49sPf5ubem8iCPUakI4pcWOe57Yd2/j1rl+TV3pBhyFELmQ9iEoVY/TkBp1sbI1RvVcPEm7tuRU0mNbIKKo1Ro7jsHN0J8/vfR7cMbT3GJoudpWlTiZ/avQpliSXsLhucWzoLEippvtSmUZmJRbgRK5OXDdfks/mEbgURrw49wfDbAaq4pQBdDXN48LMJTzc/zD9ZZ1Xb4URY40RZShS4jeDP+e7e/6NQlQwwgy9OH7TcwvHNp7JEcll+r30fEpRCWX4y8bGRk5ddirPDT/HpQ9fyinPnsLqfauZl5rHSG5Eq+uq0ktsP7SwGFb6WI0xRpFxIsr/r8sv/GnjveiGJbuBXcCxwCHVwDsUNd2sCX5m/4+m+xoZY2k6z9PGqHpPCcIK5N9X2M4Phr7PUxue4qbdN1FSJVbvWU1JlTit4TRWNqzk70/7Oou6jo/Rg616cPWp15MNR1g67SQ+85mfI3w3Lity3uzzWNh4JBj1mBACZd6xV0VGaGSkqPUIpdQbTxgS5/5YlJIvFNjqFPnl3l/x/e6KvHVgaIDtue0sb13Oh9s+jCxJEjLBO2e/k7MazzIUjEskBAgYGB3gR6/8KFZwVQ855vpnmASSaelpJGQirncGxhiVKsaooaGBJdOXcE/vrWztf475Rt5eOblVbUnd9iPSuWFt6TbOrT+XJq8pbsPw1NBTfHnvl/GLCaYn57CvuBM/TPDII4/wxS9+kZdffpkH1z0Yx2j6cn3csOcGEjLB97//fW549gY25Tfz+w03U5do4bgpF3L+4deyOXBihZbruviOr3tamWHjLxYZOcJBhYqFCxceNGY0UXFT0MZgw95nyLgZWpOtbM9vZ1nHMhZmFlIyRmZszKinr4c1A2sIHf2LMNJGK1cP+UH9jFSkeNvRb9OIpiwIg5CMmwEf5ifmx2jRGgybBA6QSWQoBSUGdgxAZ1WqhJV2m+9MePoknqNjod2lbu4evptFqUUc1nBYbHxslW+LjCIXOttmcGHzW2lwGymNluLvzmVzOMKhrWEm7bJDlzYySyruUYYRJjku872FvHfSe2lOd+qJubXOkh2/eO4nPD38IAh7vYFuY2EEDEpAKBQDhUF+vukH7At263JWA5X1e+WpV3Jk3ZFc0HoBvvRRKA5LH8ZgbhC35NI5qTP+bDWdfVBkJKD8l6wkeohDKbVfKfUWpVSHUqpTKXWlUmr/oRx7KLXp0sDHgOlKqXcLIeYBC5RSB61R9HoYlh6wNJ3jQJSAfFWQ1ibfCQHC0x6e7V0kpeShbQ8BMNObyQktJ3DZ0R/mD4MQjCmU6pPgQ9O/wCVv/STRdNi8bUifvxBCwmyujtTVjiFGRpNSXWxhc9wHpnoojAfp6Bc5rHoJpawgo4TUxsPm7tz4xE/p6fE4wlnCpERTXE16zStreHzP43x22mdJuSn25PfEqCyv8ua7HEJzbfWynuvmX0fbSNu4uY1FRgsmLcDBYU7dHAAS7oGREcCCKQu5aZsu4zOvpdYYTW6YzOaBPfqaJBqdeC4NyQZW1q3UmfslrdTqyHSwLL2M3P4Ca/qfYO3Q85zVt4TZK2bzyU98kqeeeorH7n+Mzy/6PMWgyPV3Xk8+yvNPC/6Jnzg/4d4t97JQLWL1tnu4+oSvsXDa2SQWQHpVgnksYFP0Co7rkPSTFPMVYxTkAxq9RtIiTWu6lb/r+jtohwWpBdx2220Ui0WdwDpmHMwYvdL7DEtbV/DU4FNs79vORxo/gmqAhyKTk2N79Jj91VYAcOzGq8BTMFoHI/u0kxJFETObZvK5zs9Bs+5o6uDwqcs/hVtwY2coMJ5byQNV1qkOF558IeGekIbpDRWxjwLh6wkrQx2318+kR7bT5etq1LYbcO9oL800ExkrYgUM1vApr+JoqYLOrYoLAmfzSOGhPIdm2UJLojF2UsIotjUADJf6ebLwPCeKFTiuD5FJflXomG3VGMz1I1U6Zh2kdCi7oJSVCkpu6/0+meIw+xuHqZdaRFMaKuGb67js2Mso/arErtFdnNV0FqefdjodL3fw470/pl2247ZVnq3jGmRUFa9zvTHIyFCWZcMIvJbZOiFEEl0c4TAgaX+vlHrHqx17KLb2B+jY2fHm37uAL/zx03ztjbFqOsfRL0A1FRGYzV4IkKYRXLGguevQ0cZocmIyaZnGFa7eHBUEyDhmBLo9dtJNx1SC8Cv5E195/Cs81fcgSoqYzlAuhA50JDrx8eOcprHzBxMzQm8Y9lqkRLdMF+N7Kx07/TiWNBzN4vRyTmk4Jd68ls9ZztVdV9MX9PHY6GOMDGhaAQceGXnEvIsukVk2jnKYWTeTOm+8ofQdn0bZGBeKvfzYy7n38Hu5YMoF8d/t8ByPUrmW4rr+rEoC7ZzWFTU5KO848x2845JPErnENJ3ne4SE9AQ9FEYKMTKa3TSbc+vPZeuWbawdel4/i8Ey//TWf+K/3v5fvOtd72IgP8ADQw9wzo3ncMf6O7ik4xJm+DO4/ae3k3JTfHbD3zG9ZRHnLPuQvs9AndfEXG++NhyeG1cVAOh+qZviniIfPfyjOmm5qhrFwoULCcOQDRs2jLtnoCtkv3nOm8f1r8qFJbb0P8cRLUfjuz6DxUH6t/UT1etkUeGA6yZwreqGqvblVvIeQVLpiu4jVTTd6i2rWVtYCyXiRNpEJoHTXtnRA6XvdTEJob5MMnUZGuY3xFtOiDZGyiVuIxFGximiHKNPKzq4edvNPDr0aKUvl/muOJbrQ/fANr7b88/s3rs7punqnAaSYRIpHLJRjibZzNLGpZjTGCuizyUEjJYGeKzwCPcP3E8+Kuh31JkYGQVBiCPdCv0rHOMYGqpVOgghKYZFU9Elg6K29XjGyXB9+/UscBbgkaCpcwl1fj3ZUpaZdTOrtuhaZHTY9MP4wMwPkElkauYUmrhwyTfsx2t7/ASYhK7Y/XtgKhOmmo8fh2KM5iilvoqRuSul8ry2jfMhj7ECBiFAJirGyHpZIkZGepEWc0XKETyuIp7Y+QTLGpYBxNnkKAisATAFP4NiGdfxUcYZFgaKh6WQYrmIQiENMko6aY12XChHASVVItJ1TSrcO9TQjIEgNhz2WnD0Q7M0nUVGizsXMyuziJJQBGEQ7wLNmWZmJWfRG/Ry/8j9DAwO6OtydIdW/V0iJuSzxSwv9L3AcDA87t5Oa5zGRzs+ytSGqfFkT288ncumX8YRqSNoT1daonumzFK1sum4ucfjCZ+Em2ZS68Kankau65LoSKKAhQ3aULmey2B5kG/2fpMNuzZoEYBwUa6irMpMciczPTFbbxx9JYKhgP3P7OcNb3gDk+sm8+nNn+aZPc/wk0t+wrmd51Iul5ncNpkvHfMlzuk4l4+d9X1c3yNEG6NsmGNDSRsU13M1MirpDeqmz97E7R+6PY5lFMICdwzdwdaerRxzzDE4jsN5551X0zsovjZcFjUuoiVZqxF6Zf9LlMMiy1qOiasw3PD0DYzU5VGhdkKOmnw2H2z+8HhkZByfSIEngJTW21pj9PCGh7lp8CY27duk41W4497wcqiNSpCEUmHctO0jRoRUCqWi35+hYIDBaJAdBZ3nlkwkQcAMdwYL6xdiKj/FbcotMhIuJNN1zEkuIkFKI6MQLm65jkuaLuXklrMpizLPFp+lL+iL52BzlOJhkPyL2Re1gMEYFRuzrbmGKNL168z8PRwiB1oSujTTlNRspHQphtoh9Y2TaNvUA7yy/RVeHHmRIAoIhGTtEDy6fzVSSWa31UY4bOwxLIcknSTtbjuOP0ZNZ+jV4PVhjOYqpf4OyCqlfgScDxx+KAceijEqCSFSmH1PCDGHcQ2WX58jphWqUjqcBJTMjq/Q/Lht7y1MI7hivkgEbNi1jlw5x9umvI05/hxtjIxMVY2h6UrFMo70iAwgEImKisa+AJiCjud3vg1pjNG6obWgIBtl2QU8WgQbXrFeoFXe2d5MoN8/ZYzR2N5KvUN9jARDPDz0O76292vx5rWnZw/rsuvinjmF0UJM0x1bfyyu9PVLaoxb72gvt229je5iXGW+MuxmZuZ634v3cffA3cxonMElDZdQl64jAgYxxigq12T1vbj9RRZkjmDRlJNRCYexDUvsO9mY0rJkz/NqqMFyqYyLyyvZV/jivi+S7y9wWFrLlEtDZY31A52/de7Mc/nErE+w96/3ctXSq7RKLAzIDmbZOLiRrxz+NRZPOg7l6A2zHMH+4i42lHTsx/EcFjQtYL4/H0qQHcyydd1WvvnsN1mtdrMzDNla3MpIboR58+bxyCOPkMlkeOtb3zquIVsxW2TTwCayYbbm949s+B0Ah7ccHYs/psqpuJNTcU5OJE08pwoZSSTSlXEcBgdk2uTTTb6OM9rOiKtwFPIFrlpxFVd0XDHOGNmmeaEPxQO8/fZ9wiCjWOHpuih0tXOo1NdbkljClPSUSn5RFU0HgAcNDW2c1nABLU4LCycv5KquD1DvNDJdzmBe3WH4mUY+NvP/sHTS0sq6GCPkEdXiHylBVmi6oFBbfVSFFWOEAl9IzYw4PnVOHQmvDmm7FZt4mAKKg5Wb8uyGZ7m151Y2lzeTVwXCMjw/8iLzvflMmzqt5vuENGW5yiE79+zkqb6nUI6q+YxFRmUPxjSnfS0Ou6AHhRBLgEZg5qEceCjG6O+Bu4FpQoifottIfOJPmORrbsSbefVaTVb0/NZDs2VFhG9iRsUSSsErA1phdUzLMQSRpoXsuUIE0xPTaXAbACgXS3ozN8ZImhbW5VLZktNxDa1QRbExOr3jTDrcDop+go0lGN4Lg7o4QCXPSOoGa7bOHlSQUUAVMjKJHDevuYlH+36n4z9VAe/nNz/Pr3t+HRujYq4Yx8Zmp2ZzWvOFOh5jyqvYTWyiUkX9hX5uHLiRnXt3Ajp3JogCtmS3cPfg3QROwH7gmSHwwzpSIlVjjHb07OTc9sv56/Nu0S/hmCQLGy/bXt6s6RTf1YFfoTeYoBzgKje+ln3d+9hX3G34fWP4AqAI18y/hvfOeC8NCf2srDEq50yPKkMvKaGp03IIbelpzPHmxTTYMR3HcHLdyUSjEYVcAUrQ09tDv6Po2ZzhI50fZWmr3jCPP/54vvrVr9Lb2xvLy+3o3d/LjRtvZHd+d/y71XtW851H/oGjp13I5NRMrY5TMKtpFkFaL1Tlw7aRtdwyfFMs4beUm0UpNr7oGGPU4rdQJ+tIyARHJI9gScsSfHySTrJmTgptgF0BgQfFA1SPjtBpEMpUYFDSCBiS9TjCYV5KU48WGW0d3aql+GOQUcxYePo8IRFRXpEgQats58b+b3JTzy/ZX9yPciC7CDiicizmnY2HVSApUOZ+WGaiOFJrWbVjqD+jBPhCoBwYDfOMRKOMBMMIx40dVddPG2NUWaCXH3k5VzdfreXmhnZ5Y+d1XNxwMUyQFNPutZNUSTZu38i9PffGjSntpcRKfe91URLoO6Yb7GeAXwNrga8cyoGHkoz0LLp9xEq0v/Rh4uyD1/eI0NV9VRUrIX0oORCVMSoaKjWuTOM1XQhRsLHvGer9ZtaOrGN7aTvz0vM0MlIQSME7Ot+hyxChy8o4Tl0lpuNLhBS6KR/oOmzGg3ti8D7mu1cTOrC0eRlHtSxjdR0UumE0DeVBfY54XVqabowxkt7EyMgiMYFbY4yiMEIK031VVBkjR3JL/y10po6kSR6O8BxWpFeQ8dP672ICn0boysi2RcUbDn8DrIK7c3fzVP4pTvVOpYRLMAInZs6mqY0aYxRFEUmZIuVnCBUEpVgsFT87gO2FDXTZmJE0qrFSSFkFSFFplrd62yo2jOxFAYX+PIRwRv0ZiJzglMmn1GQUeo7HcDRMeUQnWbomT0YJLSwplcHzUhzlH0tHpgnpSnD15l/cX4wnd5hzGG2ZqQxlqSTdmHHuuefS3NzMz372M84777z49+0N7bxz7jtpK2lRSBAFvPXWt9Ja18UHT/ohYSRoTDcCsGjyolhyLXzIR1mGgx5USVfYCMu6qjeyNnfHTUPBhWeHnqMuSBMmzedK8PiGx2nMNbKEJTX3WkXgSoh8KB/EGMmq9yVytHEKZESAof8gdhrWZtcyLzuPKDqS6v5HIcY/86B/eC93d3+bd+16C3VbEzw/1MOM9ALWDz/Jrp5RFs55pxYZjTFkyqm800JWhEFI7TpluqZxfuaNtOyqtQ5BGGpkZJw7aZy6kUjXUBoo99DsGupZgZ/M6LXeVzFqXugxJz2HycOTUQY59c9Ks7AemKDH43unvBdaIVwcctz040DCPqC7BEtcPQ9XQNHTfZ5ey0MpZVssPwL8UarrQzFGdwJvUEr9FkAIsQhdImjJQY96HYyYVqiiaB0XSkmIitoTUZEWNdiY0Z5wD7evv4nlDceyVe1jbtsxpJQO4LvSjQ1EnLBqFk+pWMKVXiU+JWF5+gSm+F2xSkevfMiFWaRrpNlNwFEw4oBUUJwExYHK/C2yC4wRjJzK5UjXhC1ErZouCrTREdIliEKigq7IYJus+Qm97S9NL+Wq+VchPUlBFdla2MgR7rko3+WCxgvZltzCo+rRSs5N1WjJtPCutndV3JYI9vlwzFFnc+LUE0m2J+NNR1lDWm2MggiELsISuFAe07Lb3udTpl1B4+hOhCsqyKgYMJoPyHkJhJGQZ0crtNfw/hFNsYQJotGI0cIoadKVzdJxCVRAebRs1Gie9tQNMgoCyEVZsirLyY0nI1zBo32P8sDeB/jA3g9ABOdPOZ+jo6NZ5UOuEPDj3p9zVPfyuA2I7/tcfvnl/PSnPyWbzZLJ6KC1L32mpabFBu2ujXexqX8Tn7/4NuqSLUQ5OGbJMSxoXEBzZzP70Ju49GFe59Gc2HQ0ce1QEzezOT9KAZ5OYcjXweMDTzCp3E7YHrImv4ape6byh9IfmFyYXGOMQirGSHkaVU00wkjHjDDvSyi1cYocwYdm/C2tk+ziRy/Ssjb8o2oMAjDrxVZgUEBUCFm7aR1PjrzI1R1/S713OHuaI3qEUfpVltm42KmQVchIOggJTkMdh7cdSeqZMevKOGqRrMSthAu+r6t9zKtfxkBxMJ5wJt3KeU1vYTqV5pePr3uchrCBkighQi2VHU2AmnqAYLvU98JRDimpE6gHgX27YF6zNqyOdYRe+zGjP3kcCk33T+gqDBkhxArgFuCqP++0/t+MsQsXtMimlITAdCTGvMAAm3vX8LPhHzEUDPHYwMPsGHyJWVOP5aj0aVzdfDXHNx1fowz67v7v8ujuRwFNxzmOHyMjBJzQcGacTIqQtKancGHL1VzYdR3S0TGASIGapV9sx9ObgY0fK8AxcYDAXlBV/Et4+vcJN8GK9ApafV0pIYoUEonwfFBQMhRDFBlk5GlkVM7rnkbCESgBA0EfkaepmihUcbb+RAm5cQFIszHe+syt3Np/JztfltRNrgMztwhYl13LT/p/QjhacfuUUkghY4n62MZidnOdPGkxp9WdA7IiYQ6KAXMbFzE5vYDioA72j+ZGjdGHkX5tjO7qv4vBfYN8/bmv8/Loy/G5XccliIK4/Izje7FCK3Q0Mhgq9/Pr7O26FJDUlahPrz+d3O4cQQDJzkY4DkpNmuvflN9M/5hWnW9729vIZrP86Ec/in832D/Ic/ufI2+2/G8/+2266ro4ZvaFmiZEI93mGc2QNHk/CmTK0FyK2KirUMVihOrcHceBIAHXtL6LSzsujUU2g7lB3n/U+7m48+Kaedq1Jc36K6qJg8YWoFjBT+DamKtALUzhH12FbW1un/DiyhBR9XmUlo/HLSSKEWcvPoerp36YQCraZQedyamaLh4zB4yCr/JdlWoZSAdhKLiBhlGeXf8s5e6KFxSZmFFj0ghsTPwrlA4XNF3E9LqFsfiBCKSfYnZqIfW5hvgcqzevZlN5E730si2/FQXkPCiPzw0H4JbeW3hk3yO8tPklHh14FGSFRS6bBo1SGJpu4lP8fzEOJen1t8A3gPvQ7cYvVko9/+ed1v+bYTnuanzomCBtqVS1sA3t8MBz3yIpU/xg8Q+IVEikImbMPobREOYk5jAtNS2O4wQS2tx26h0NDcrFEq7w4piScKCgSloOrLTEM5HIMD05B99JIl0jQIjMyxYaUZBXqQ8Wz9+pQkbVxsjXCzrpJbmw+UJmNMzQx0URSgikp702K0u1rSV8X2/g63vXc1f3XQQEIASTEtPAhcBRfH7vP/DQ3oeAiWm60fIo3+r5Fmt361p8faP9jJSHKq2oqdAxRRVQjIo1xig0LSSk0Nc0lhqy8b7uGTA4C6jTm7SUkrAcckzXCSxuOoYo0oY1CkxgGsgU6zin6xwO9w4nyGr5c3Vh0jdMeQMfaP+A7vZaZYyk3WADsG0Jftb7M5AwvWk6J2dOZoqYwhVdHyQMZkCXXjvKlUSqQpPacdJJJ3Hqqafy6U9/mu5uLQLZvWc3v9r5K0bUCDuGdvC7jb/juiPfiVSuBo9jVW7oDd9Jwo6RV/jR8H+TG9Yw8qIVF/HhKR+uICOD8m2lERn5uMqNjVFYCo38svY7LDISvv7Zm4bH8jAwRrBbXQEEtAMVU8Cq9rxv7HpjHG+LImL1mv0+aRCW4zkmDhgiyw6em+SO3h/w5e4vsKe4SztNVXOIaTqbQiGIhUGghUXCOEp73L3cOXgnu+7cpf8WKqZmZlDvNXPJrPfznsl/h/K1Uxf6DocvWk6qYxLCSOWbnFZEwmNraSP7eyp5nbbyxvGzj+fsqZdo2t6F/ATGqAiEUkAAr+x4hedGntPGKNLXUTIviWMEScXXOE33PxkHpOmEEDdQFZYAGtA1hj4khOD12NNo7DioMSrq90pFmGCFYv22hzk9czbXdV7HQ0NPc+Oe7zJn0dH89g93sq//WT7U9CEUrRoZSXhjy8XIBkDB9fM/yPZuN1a7IeAn/f/BIrfd5DFJ8mGOb+37GtPKh7HQuVTnD0WVzUD6JqalaucvqqXdVdciPZ0Mq2y0PwCBIAoj3GpkNGSQkTFGrucihGDPyB72ir2cLc+m0WvClc2a+vMFp2ROpZwssGdkzwFKFSm6g25y+Zw5t+a5qrdjqwBc2LCU00pLYxQFEBleTJhKEsGYl9B6z5EPxVbiTdCVrm4JXQiJhKQkbct1aPTbODl9AXNUK51tGcjA7qHdmpOvSjK1ogeLjFxjjGxQXpXQG5yAWYlZGnnIkNFwlHRvmqaojV5ZmaeSQhujsNYYCSH41re+xdKlS/nrv/5rbrzxxjgL3/M8/uv5/wLgmuXvZKcp+VNtzO09dEJQScirLN3BDsr5cvxHgajEjMz6cF2NjB4ffYoOPMJERIiOef167a+ZOTqTpSytfU4hhAlt9IoRFHpgKA/NCypzqa6NKISerxpjaOxoSDfE4pBI6WdcLe2OhRBG6BOVI55a+zS7Rxwc1ycEnht+kulcXr1saq6z+j6Dod1MaSYlYFLbTD446YO0PtdKua+M1+jx1rnXsb4Huou7GCmXSPqztTECyodDqRfad09nblKwoutcnvfhrqGbCHYfzRTOBjQl7zkeZ596NlsVvLxX53aNDmhpWfXYBBxdfxmz6uDnuZ+REAkwdFwk9f/rWnrawJYm5PleW0MIcTxaQRc/BdPn6KDjYMhoNZVadM8C/wzcWvXv1/1QjI8ZSanhcDGseO64sH//NvqHd3J46kheHHqRq6d+gG+etYqmjg4KRur17OizsWdW9owRCPVPvdNAwuQPgX5pj6o/lSXOEpY2HUFD3SSGS72EKmRb7hUc32zCVcYocnUeVLlq/ihLI1Ap32+GY3ITcrkC/7DnH3h619OAQR1CIhIJXfxySCMjZek7R+A5Hkemj+QTM/+WnOfSHw6wKfcywtObzEmZU3Ulb8WEMaNYZm0irpb+iKpeJht8DxxzMVX5KyrQyMgxNF3JxBX22OPQmzAucbVnqPTY+dbT3+CR3t8QGjEGCjw/RZc/nVw2y6O7HiUbZCkN6Goanqwgoy3ZLdw7dC+lrIbHbqISM1JSIyMr3T+6Ttf421nYyTf2f4OnX3ya1X1Pknf0FhkZmgqT0zN2LFy4kE984hP89Kc/5emnn9aJqpHOXfrly7/kpBknMaVppn7+fi0lBUagEoJIgjCSY5vI+eT6J3lk4JEKMkLHP1wXVEK3DV83uo5cPmTYgXI+4sV9L7KvvK/mO+wGL3xINYAfwEhbbQVvGI+MlDlY2f+uGutz6/Xa8VxsekJ1CwlhnEBhCqWGpZAXtr7Alvx6HEc7UQJtqIKqecSxsSohT11dG4cnjqz8Qmpj5LoebXPaCJ8I+eGFP6T3uV6sUOWevTfyq74fEyXA8SuUsopgRuNhnJE5VzMREi7qfDvH1K3U1xypGBkBFUFTGkYnEH7kIyjnQRW0EfOVDw6UAn3usnlwNlVj7D1/rQ0hxE+AfwFOBI42P0cd9CAzDoiMTMKS/QIfsH0CXlFqbNbH63OEVNQ/djiOpoWKkamxqTRMf+GFhwEYjoa5df+tRMkGTpn5MboTGtUAHN18NDvNeYIE/Ofe/2S2mMFZo2fx2J4nkcF86p0u/QEJh2WWM9+BpW1H8qgHeNqoTUpO18VAHYiru0SgfO2ZWu8oFmC4+oWUaNGCHcJIcZ3I5dSGU5mSmgLoF0YICRYZDdfGjBDwvinvIymT5CNYFWo5c0gIvjYOw9EIuXLugMYobopmNmDbQ6nGGBmvb1t+K7/pvZvL911Om6nMGSmFEELTEz7khG6SsnZUCziiaRVjVP2On9lyJi3pFmS6mRHRRlEKPNejGJVxXJ/1+T9AfjcvDqzigf4HOH/f+doYuRVjtKewh2dyz3DcyHGar3fdOGZkyw8p02dnKBgCWakqsHbbWtb27OGSrqPjRFMdSJFEQcTQniG+cf03eM+X3kPXEXot/O3f/i3f+973+Ju/+Ru+eu1XQcHG7EbW9qzlhjfcENO0YZK4fpsdZcApQ5Q0wX5RMUZ7+/ZSLBbjmJFdy1LqFIZQCCIV8d7FH+Xf9txAORsS1oXjGjkG5jpcH1q7IHoLBC9DaVftXGxRYbv2YsM9xmEAeH7keQAcz9PoyZ2YppNeJXesJIu4bhNC+AblGAqv6tyx0a26BCEkJ6XP4PSGlazVj0Kr/RSwBHazm92P7Gb/ffv59dqfMyl5MstPvJbMpjxRShvwQBhjqyB0FM8WVrN6/8vMX3wdbanJ2BokYSlEhSpeTxHgRqBSMDKBIckH8OjQLcwouBQnF6l36nVOUWiMkbGCwgHc10WC51HA4uo2Eoc6XjVmJIQ4FdgIfBP4T2CDEOLkP/aLXosjVzZApeou2JJABSrISHjwwosPU59p55r293B1y9Vc2nEN0vxNSUm900Cz3xyjldCDUlSmFJTID+d5bO9D9Jb2xoZPShiMBukp9BANK4I0eJ5Po9tCQiYRnl6MNcjI0zRd2b7kmECvW7VJVdN0JlFOKm2MptXphLso0kq1RLKRo5LHUFeqi38vlTZGzalmNo1u4tbumwlz2jgrKbWIwoFv9t7AjuwOrptxHY0JTT7k0CogIO7KGpYNMoq0IKGGpgu1F1oSId3lbgrDFWjkChdP6tiVTGoFVwEIs1DMEos34lYbZqxo0v2Ljmo9jql18ygAxzYcCyE4js/Dw3fihR6XtF+i5zyYi2kxO07sOpFPT/o0p0w/hb+d8bfIhFPjnaoQSGia7p6he0CaemsCjk4czXumfhLh6VgIBtEpg4w2rtkIe2H19yqF7+vr6/n85z/PY489xo9/+2NUqLhj+x0IBJctuiymMyN/PE1XDg1V62tKCyrG6NJll/LWtrfWICMrcHHSEJk51bsNpGSGUhRoCndMXbzYkNmE7ZRe92M3xrEFSjEqSdsBtnqcOfnM8cjIfl9kkJFXcWqCckQhX8STCaSpei2NerXaQNtzyCpkVIzyrCmsIiSKhavxfAT4bRqNBMMBHcku0jJNcmoXTV2zEUl9rsBQxUrBS0NPcO/ob4lEhANsLL3MpuxmAI2mVaXclUV5bp2uegEwhH5PInTO1igjDJWGdMsR6WvjH2pUVTL3Xnn6/r8OiqW+hC4H9EePQ5F2fw04Wyn1CoAQYj7wc2DFn/KFr5URAvky+GlsqxJAbzjCN4FFMC+K4oUXHmbBrFOYkphJJ7DN0wvK8fSiGQ6G6Sn1EEXt2iP2tEcWRRGNqUb++rDPsmlELyb77tw9eDNRfjeTy1OZPft6SvkcQ0E/blCnlUsmaTCmSTwjPU9AWDTCCovsVMXzrb6WkgtBUVEMR/GLPgkSnDr1TAZ3txKmmjgncx4JM6HTF51OsCoAAc/nn+fhgYfpdUdoB84++RMQSC13dwAhSZFiZmpmvMFtA/bvhpPbJ8htCrVoonrjKBtjJIwXWc5WAPcVK65kyzbY51aSNAtoDztA01+2A2+1gRuIBhA5wfAoFMMUAQnOaD+TVcMv4kqfN0/6AAuDFP1qBwh0sD8kzkfSN07fTyevpbY5WbmfSpo4SLJaoVVJ5CyOFqlzkxXa1AbTzcbvCEOljdQSbu94xzu4++67+a/b/4s5qTkU9hU4acZJdNV3xfLtuJJ71SgFerMUEqRrzm2TUQKwqsbYoJg33q3TxqgUlnhs7+8ZDgcpBTrNwJEOQ+gSagkqtKiwpayEcYqqLIwyz8apyu9R5h7YyhXVwxoZJ+HFqN/60nGTSGmQkYAwDCkFReqcBKGjDZhNTq020LHRrUJG5ajEk4VH6Bvazgz1do3eRMUgWfWoyAsumv4mNgzAJlevTdwKdR+U9e/a6qczP306szuPZzPwzMjvGaWVw5mj13AV7WudU78RRjz93m7woLAdVsxAVxaRDkEYUMwVSXgJTcNbY1QVC+6cC3J8H8vX2mgD1gohVlHlryilLnq1Aw/FGHnWEJmTbhCiest7fY48oIqgxqTv6koLFWOkFOwe2Mj+/Ts4Z+XfsmPbDp7PriOkiwxLtecl9QLcWtiKg5aERi5gcncog4ykfgmq8h+koxVSy9LLGXYgH4yAgIHS/rhbZiAqgX4SxsAkICyByhA3/oNKTKD6WpQLpZGIf933NU7fezonczLL2lewfgB2OFBWIc6QlgB31ndqsYaA1aOrGSwNxoYiSqZxHGN8HV11obfYywuDL7AwsxAfn0IEhazmx71Gw/UbZGRpumoPOTDBbSnHG6M41iDBzUBBaH49ivQ9iSCWEVcjo1/u/yV1oo4X9m9iRvoMZrWfREDIaQ1n09fYRKbUzMbRF3mp+FTFGEW1xmhHbgfPDD7DlFemUOovsUierO+tDcoD+LLGu04kNTJ6dP9jTKuDjs6VhOYaIl+jyigyqENBmKs1K67rcsstt/DO897Jrx74FYEMeM8K3QnXGgM5kTEyz18IdNkdUSlx85s1v6F+qJ5TOCVOOYiNkQ+RJynlSjxmVJGlUHv1juPwUgB1u+GIGcamRRqh2muWidrOowoqdJK9V1Y84zBOwDCjbQYXNFyAl0jG+XGxgCGs0H3SdTgscxTtbifF0RKuk6BsKNJIjkfGNmYkqpBROt3I4cnl7Ak3MsOiN1H5PouKy6NlPV9BXF7J0pol36QXKGhtmMbK9DR6pX2PPUqmrFM5r0UvccwIzV74Kcg1wuAgDDdoRJTLamMkHIewXNTIyPG1QjIwsVLLgDj6nkTj6yW/1sbn/tQDDwX0rRZCfF8Icar5+S7/HwgY8kBUhqBp/N8cUxLIvsCr1t8FwOEL3sCT2Ud4cvRJnhl6LK7mHcoo9oZsjEBZYxRF9Hb3cu/u3zJU6q/x2IR0mOZNY1nHcsbm6wiPOH+omi60ar9ywdAZEDebq34JgbinURTVxm/2j3STC0YpOQFf6v9HntqoW3tv2beFrfmtAFw38zqOTR2LxBSNDLUH6iT0SyKQbMlt4bbdt1E0DlAh1GXugxIIKZBSVlV90OKI6pIvtk+LMC9ueaRijB5a/yDPDj0GEtwE5E2fKdvINKreNKqe3VntZ3Fs+litQJIuRR++v/u/eSH7HG3pKbxcXMPvhu/U5XYEZIezsWDAjuFgmBfzL/LChhfYmN+okaAyiib7iAxNZwPoUkp812e0NMqm3DpCo4TE0KsZrwk/SpLyU9ooTCCLklJy+XGX84mZn2D4A8NcefiVQMUZkYnaaw3RGze+2RRT+ty5Xq1g3N6zne6wO/4s5hxgaDQp8JTPx5f8PXMSi0iR0cZIOBSLkBuqfI8MiesqAjip2t5G1nGrKUdlaDo1gTHqmNnBUecfhWzXD1AZNZ2KTPX5OAVCcErLBUzzZ0CkqVbp6lhnqMIJjdFYNZ2ScFr6XN7d/j7t4Jh3cCwy2t+/n3996Z/YMvISGGRkjVFgKk/ojqtlbhu5iVu6f2DQmy4fBcYYqTHGKIJEAooNsLMIYQ4KSRgo6PWMdAiigFKhFCMjFZn3XIy/ntfyUEr9HliPTnevB9aZ373qOJRLfB/wAeCv0MvrEXT86HU98ujN0G8a/zerWAsiLXB4+qXfMX36ItrbZpF1dLdNTAFFKXVAUymdM1GKtL2JXBBKI6OB3gGe73uG49NHkHZb9OECAgK6S92UEyEKJ65NB1RoOmqDz45j4lHDVRuy3SwNzx6fwyjRAgTVFRj++8VvM1mcQLN/OidnzmCGOwOA36/7PWJIMEvMwvVcFAphmsSEAryCRo1KghKCxanFnD7rdDK+LnlSMN6czQlyhBPXr5tU10XOa60JUtsitMI0XSuNVnztvpFehstJpgiTiJyG0ZJBRuZYpImXmWP2AmFyDpOyo8Z4eJSTcGT9MWwc3MZwOMRLuWcgKpGKBEoqOmUn05unx1UnoNLc7MLmC2l32unziWMNkQRHgZfRbaNb01N5NA9HSZ3PVSyV8L0UkTSGQunjLut8NwszICZrx6VFtEy4Lvv29tHkNrMxoYn3egwyMYq5amRkJde2xIxTX4cSkN2joxNBKYjjP3ZTVNXGQkpCk+RzXvObyTjDbOQFhHSIFBSMNDuQxOq2eG25RjEa6DURmS+xZXhiAcMBaDoE0FxBMkoYpBNqms6W6BICQqHIFfK6CoSTAJODHBLWCB/sdTLGKJbDEg/kfscx6cNBzdbvi6VRoab8VSks6YRrS9N5FVFTQet12JFdz47iWgq+4EgJwnEpm5YSk5on8anDP4U7oieg0MjIS0FUr2nnqKTZjcGyvi/CccgHukSV72tkFClNXZZFBRm9HoYQ4gq08vph9CO8QQjxcaXULa927KEYo/cqpb4OfL3qCz8M/NufNt3XxsgDsgyiefzf3KSuAxVGUCxm+cO6h3njxR8EAY7UxVKllAjDJwcyQiidqxJFerOKTFwliiLK+bJOTJQ66dW+l/vKO+lUin3BPlBTdAsJ8zfhE9N01chISu2hFoOqDdlSIzbQac5hkVEQELcLALh41uX09rXS7wlW1p2EYdS49IhLUesUCHhh5AVW5VYhMtrQhC44BRM3MHlRHh6tbiumrBlhGV2hwNiUqcmpNMgGAC5bdDnrBqFPVjY4Qm1YhdkMyrkyT37nSVKNKS49/Aq27IH9UkuR80nIjuqXNzTXKkStMcoCOwf2kR3p0cFv6RImYWZiPrfmbmd2rhPH8wkU1Dv1DIthOujgyKYja4y4VUIFfQFuqxtvpMLQQlKBSDk0Oa1kvCZy/bCmDL6XQOXAd40xMmpBR5iqFWXwkFw85WImJSaO8V40+SJGWvKsD6C4GZYsrqg+hUFGyiCHMnrzVgl9L9y6NC1OG86gETLYQqlUKUfHJINmwyz37voNU0vLmOlldCkf6aAiHW+MSlrFJwNq6qo5jt5Qo6KOH8VGoHrTNMgIp4Kgxg57nHTMOxPp+2YFfULA9/Z+iSXp6ZDQPZsyaVs6KamVelX3xNJi1YGESIa8XHyOnqFtLOXDMR9kn6vjugRCkM8V4gdtjxd+JWZUiCz7UJmcRkYepWgUyiDKggSJ+D5YJwAHvGadxOqFUJoKAz3a6AjpICOHTy/9NKJHsAf9PZGhQhW8bpAR8GngaNvdVQjRDtyPrtxz0HEoNN21E/zuuj9mdq/FkUd7+hNV0XUc3USsXIQ/7HmQclBi5bHngdAbnB4yrsyQSTTHyChSZh0aYxRGoe4MG4Hr+jXS10goCKGprVX/znRkzbgN+mU09IZNAhQJkztkKhLEyMh6TyG1NKCJcegyb0IjIwULGhfRnOwAFwYYZnhoGIDGRCNNXhMA2wvb9VUa61lO6ZdcJirXtqu4iyf6niAkpIj2kkNZSVC9dtK1rGw2+RcGLcXeL8S5M1iaLlvm0Tsf5eF/fjgO4CpZSdJUed1PJ4S4hIysMkYhsGrwQe4c+LVOEpYuQRLyYcD5zZcyo34x0nTrrXfqQcLw8DCj5dGal902o/vptp+imlScJyMdQ90AkRfRH/XRF/ahgB4fyqEOqrgyqUs5mWi6I+GBoTt4qO9RNm/bzJq+NSTLtZWxAShB42Aj7U2TUGWtYASNgGSAltVLYihQNn+MksYwew5vb/8gRzpH6uOCIL6WscjILpBclOP5vtXcOfhT7hr4NZ7wcKSGGyUfgrxhCAwys0NK/UwCE6K2RrIaeWkErdfgWEm6HVZwYMtfhYYOrl7Hy5tOYYqcaujUFC0N07m8/moWNx+jpewmHy9/oOs0jEN/MIBV7lULGIakIC88hvqKxnlwtDOo9D13HL1OC+a+C9803zMiC8fUMiSAfXv2ce+OexmNRvX12Qt0INGknbBMEVSzzp2LQm3cQhXihR6u4+rnat73wIhpXi/ICJBj2oz3cWh25sAfEkK8VQhxJzBLCPHrqp+HzBe8LofdWLJlIw2eICDoupoWypVg9a67SKXqWLLkRJAa3YBGGlZpM615kWYGhDZGEr3gbdC6XDDIqKrkDEDC1R5esjlZiRkJOLzhWNOHRW84cd6FETDgQUEZr8q8EAhD5VRTKcaTL4oKMlKhYvPQJobKAygHfjlyI7/bqXvl/GH7H1ifXw9U0IHAtItIoy8sYeMmgt5yL/f23EtEpI2RQUZxMUeDfgB+/PwPeKb/4ZjOCdB/i9wKTVfOl7l23rVc1XwVd750B8/0P4RwiNvBRyUtjohjRgYVxrEGtJdZjgxvj0vkw0MjD/HwyH2k/QYcU12h3q8HAQ/tfYhv7fxWzZtgabqCKiDaRKyIkobeEQAJbaT2lfbihlCYDrMTOvbneyk9JwNpXQFlGVBUAVJJego99A73jlt3A5sGeHLLkwx6o6hIx9/AVFkINAIJXYiCyu+VApUyJxA6tmH19WEQMuo5bChXOTRWni3glMmXcl3DO3WTOJmkU07i00d8moVNS+LvLxd0Ho+AcWkDgacdNvNIKxu9Ob813Fb0ETK+yGosrDCUchiNN2pHNJ/AyYlT+es5/4fWxhmohGSqO4Okq3NyQhe2RfBUv1a8VSey1xRKhYrIp8oYlYGESFM2nZCFkJXPuBWGoYB5x1zHUHxCCws8V6+5APp6+3im9xmKTjG+Polep4kklBtAtIBbrw2RLrPkMBwOc/f2u+kNenUis0Gixn+siQW/xsfdQoh7hBDXCSGuA34L3HUoBx7sEp9A0/BtaHm3HSPAC3/iRP/i46WUVnzlhVa4RBOYY8+D4TSMDCpW7b6L5UeeqRuCSa38UkIvWGViRmUZaGNkkZEAHJiWnE27VJW+OG7FUggBJx/zXk7Yn0dlgCJIT+90ynR1dfyKMRKhpuAcR78gRVG1IRsvVIbUtMPwPJAp2O+glWxKFzf95cYbmZk8k4x7Io7jUypqXu3JzU/SNNrEQhbqPAlD2ssIRFpv+m5SX5t+Q4mNaBE9n7CqOeGN3TcyOZzM6ZxOc6KVkltP6FQMR5w7IwXTU9NJh2m27tnKrMIsdg/sIgrKzBLaOSBBbBRDNFWGIO77pAId8JXSjSXVHi7FBOQoMRqOkCuPxMgok8iwPLOcuoY62py2WrfMGPe2VBskq7x3ae63BJHQz2ph/REakdbB1Lp5rO6ppensRnvalDcxdxRauqDOqePZ3meZy9yadbd73W7u2XIP18ybC2FdnNwcRFRk7K4xchDHFjyDjJDwYP4eMluyXKou1S0tHIcdm6FtNjXtUoShnKWJCR5ffxYnSc0JhoZeiyQUy5paGlt+0MZRSsYwxjHAan9LmudkEP4eYOMgnJw064jaextZVD0mYJ+NRskFkmQhTdQOPcWd/MvA91kweC4ZsZLAhVwIuUHIyVqjC+gWEua0Fs1UF2YNgKsnf4SgsJNtpe8jhc6nc0SFjcCDktQJxiJhb6JBRq5HIQqgDIfNOIzD5h2GzYKtlp2n0xB2aMrPazCGxoGGVBuhSPNc33MsSi2iTBtOACLFhMKk1/JQSn1cCHEZcAL6Ln1HKXX7oRx7wEtUSm0HtgPH/a/M8jUy8hF079MbnNcw8WdcV/PkW3rWsj+3g6uO/QygF540MSMFcan8dQNP4ygIZaiRkYllHNVwCrMkPJx72ARfa5GRW19PW2s9BSNAsBWKXx5+hqkcHTf6q6bpMAqfUjUysl7omJdYCMjMgJ71oCKNjOJinaZpmOskdLtshU56NZSG5+kosS8TCCDZqOkmYejDZelj2VlcTbfqrhijCKJURfLb6DeSERr9nT/7ItZnYa9BMSFm/ibe8I6udzDqjPIvW/6FmQMzUSktBbfZ8jKlEw/dTFV8wvzNGqOyC8LSqJFu4V1OwUA4hAKGS7266CmQdJOc1X6WTqYZQwt1tHSwsG0hZ84+s8aDjtV0HkhPcFL9ObTWd1A0hmIwGgQBrpskNM5CLG22irIILuq8iERufGObJU1LmD11NtlJSY1MzL0qh8TS3tAxcSIqxiimzwRIP0GyFKLyiqAcIFyXogsFm8VdFTPalH2RrbmXoQGkcOgNenlg6yMc0XAiKuoglFAoQqEM3hgln5RG7WXpV/tMqmk6YYyRERmUgOIQZLPQOKVynPX8I8dUU4hqz3N79/fxBwc4PXUe0eRjSDZ0MqVhLu3t8yiY5583RjQbMK7eJG7FksZ0q302mLw1CaGJqUrh0NIC4kTNnEgjZFDKnttU7bbr063QdLaDsP3+KKqsLSmh8Rj9396Appy9CBa2r+S4lpWkZgMpWBNpZCTS5jvHvNev9aGUuhVdOu6PGq+jS/zfGaHxMgoJSDZXUET1cF0gCU9v1+hy5co3AMYjNhy8UlEM4ZOJekpoaitUeu3bEiKgG+u5wkPKSqHQmFOPKtShbdXgWirQlP6xnL3tqyQT+veRMkbIeMVCUROIB6hvhO5JUAg0MoqCqFIw0gXH9SmVRqCEqR+nJ+27Ghld3nktryho6wR1mfl+Bw6rO5oMo+wP9iMcQRFTlqaqYeuFHRdWFFjmIi19FdeXs0mrrpFZh7Att41U2IwjKk3RnIy+Rlmn41JExjgKvUFHgblPpry/Foy4yCSUhd46pHBQRiSS9JIoR7E/tx+JpF22x/fM8z3ectlbYiukMJuCjeN5+vnOmn4ciUmwx8irHxvSXVs9N6Xzfazdd+GBfbewJZdk8bqp/H7373l3/bvNQ696WL2QDtKMZEANa5pMhRVjJI0x6lOwoQitBgXITGUdHN1yKvOzEA6F8c4bShgtGyepyujuy29ntLgepeCx0Xt5vDhEZ30D8+qMc+LAkNLCiyhTu64cR6O0YpUxUuY5Vq9vYe6btTGR0GjLjlhybgy9FX1EnglNigqy2VPcS6sDTsrn5JOuordJo5XQ1QnsoaPTC8YaI+kIbHFUMPcgqvw7AJ4YfpDi8A7IYOozgphZOYfwtGGREchk5eRCwoLJK5m77QgIYO3GtazfuZ6Lp16sUxmiifcYz4NiGhJlfZ+VQic3NmgkKtHvP68TYySEeEwpdaIQYoSK/waGqVVKHcD1r4xDCiz9iZP7byHEfiHESwf4uxBC/LsQYpMQ4gUhxPI/11yqR6QgE0LjBSCOnfgzQuis/9U77mJ201La26fq30sd91FAoLSsVAg4fPoZXFX/TtrrOgBDmXnwu/5b+e/u/6aUL+EIb9yiVALNs6MXnOcneHPX+3hD19sAcD2tWCqXa5VQNuEwUpXNxW5GYwOdngfOZFhSdyJz0/NiEYPAGCMnQTEqQtEgI2qRUUA55uCFWU7ChdEoy2g4GteyK2JK62WqKgtXxYxuWPUNVvU/qBVMUUWubnNnft7zC27bflus2IgCDfvs9STr9eWLjKY5bNsBKU1bh1BTPNIklZ7YfAZ1fqM+v6h4wZGnZfgJN8EN+27gW7u+xZ19d9aqwOKFYI6x/zToRHn6v/u7ID/fKN18mJKeYwysrsZg67EJASPBIAPBAPl8noHSABuzG2sTZIB7Hr6HlwdfxuggCKRObi6bzdWiwKyC0T7Y1W+cFIuMzL0ghKgnotFvxHNSOhZTouZtFwKOm3wB1zS+AyIoUyIt6/irOX9FV/00bTx8GHKNMWqqnas098Gm2I9FRnY+FhlVGyOrtrTHWbQSU5tRJfYEIKTD/MQizpr5RkD/zYpWbEfZckk7KaFiXL1J4YgKTUdFqWd3zBAYigYYLPfrdSLlOFpSJkx8JwTh6RqAmKaVmUwj7c4kKMDe7r28NPKS7v4LNSWSqofv60reMgnrBp7hC32f46ZdN1F0ipoW9SpGXIT8PzFGE+3ZQogWIcR9QoiN5v+bJzpWKXWi+f96pVRD1U/9oRgi+DMaI3Tvo3MP8vc3APPMz7uBb/0Z5xIPuzhkBk3RHGDkRR9rux/j2KmVltBCwvS6BZzfeBFndF4aI6OwI01b4zScOr2BK6mDzZOTs1mYWkhQDHBEleaaCo1RjYykL3GndiLrtarCVlsom43EviBOeuKY0UTdvwHcNljaeAJz1LyYppMIhDVGYTFGRpam8018696+346vbO7Cr/p/xrPZZ7XxEjrHyAkNnWY+96O9P+LWPRqt58o5AhXEWfkBaMWQpz3aRr8JJ3Di8si2yre9Zy2tkLpAP7fAQe8gTiWQHpTNpu04uMLlmPqTSPv1yAS01c9EKUgl60mnGgE4oukIjm0+FiLd4G1C99UM6yxIB9omgTetsnkGIbGQ4ojWk/lkx2doqZtsHBbi/CQhJZEyNKmC+wfur2nEE5ZCnn7xafaxj0DqZxuYTTYywhQhiNsKRECxpNFotTHaUFjLV7u/SnZHlo8e8VEWNR+tFWdj4j52zQQqNAnCni6EGxgqUIFKwLCnv39s7wMbu7SOR5x+UCUciIyAwdJ0EXrN56v8ZktdCnM/I2O1oiqhhZQOERFlE0NBVuJaVm4flSpOijDvYHytJkYUP+MxAoYAOL3jMi5tvJIF9UtIOWNgIDoRXpnYnUzqmniNXitKQn9pP2vyqwiyAeViGQ+vQtMdxBhNWgRiESST9aBg7fBahCc1ErbxYQdEFe33Zx4/ZPye/UngAaXUPOAB8+8DDlO1+1V/N9E44CUKIV6kFm7Ff0LDrqUHO7FS6hEhqoHuuPFG4MemuutTQogmIUSXUmrvIcz7Tx4RHJIJfvCRbxGqgDPmXFn5pYS038iizHI2eLDf5P3kG6FvCbR2gBoxHrQHC+qO5PAQOBwWrArZPyaeE0mgXBWTkLDlOJi8VT8Yx4FiQm861RuJ60EhBamyMUJmYznQdUkJo2qUXFHrvJVBRtID6fiUohIqr+J+RlBR0/UHvbGBjfdrF1Y0nMTmwfsZYQQldFxBJLQRtntsSZXIh1o/pUwV7mqaTpqXLnLh3I5zeSb3NHuCPbExspx8fM9aQPRp46NCwCCjyINSVosbhONSVgGDxUEiGnAcyayFp7N4/jL8cjNzO47iotYj8F2fY9uOZc2eNbqO2KsYI5svk5kCTAGxn7jrqzD3frQRlO8S1OlNN1AVek84klBF+roUhGGo4a1Rcw7tHCIqRrTWtcaoMXB0VWcFcS6Rkjo+oiIoOZApa7RonzOuSy7KMbpzlKaoSTddFEaBN2Z9bBh+nqdHH4IGcB2fkbCfH235EUcvuAhFc5zn4gYgmmqPFSZ2WbSI08x5XAUGNJK2yAhV2wYhMh8TJsm7bAytLaIuBLrAcGEvxzhZnCij6TzDKkiDjFQZyq0Q9uoT1jhmouLw2VYgYwUMIdDhTeKCjjexxR0HWpE28VmAl0ixsu40WtoXgIDu7HZWj9zFqcOLKRfL+MKPnbfQ3osJhjcJwgJMaVnIpNRJrIkeI0q6WmVnn7dTESb9uccB9uw3Aqea//4ROpn1bw9ymsOq/yGEcDnEOqYH25YvAC6c4Mf+/n86pkDccQFgl/nduCGEeLcQYrUQYnUwtv/0Hzl0ktnBP1Ms5vnd7/6dZTPewJz2wyvzkDAajfKzvhvZkH0xbq9sy/ZYCkoX/4SSCCgGJf1GO874BWXjPhAriqYsBMcEOW21hXJAjZrGtkaPyvDCPHglXRU7OsC4ufe73Nt3Dyq08ROd2Oc6CaIoIhjWFZtt11bbYO6stovikkN2SA9mpBcyx5+DROr6eQGQ1AbJFtCURtoOoCKFEiJGgzYJU/rGE5eQC3Imk1N3y5RCjluhNkakjHGIs+NDKm0FgO/t+FfyUU4j15Qk2dZG5MFINMRjuYcYDAfJizwDwUBNl9eJhpXn1lBHZh57U3DfSv3sgwSUl+uNxLYIB0vvaWQUlnUsJzDqKzsGdw5CAE3JporS0DOGJ4AoXdmcCoBfhGyX2aQqqW/4SW2Z9m3dx4/X/4Qd2S2mJBTjaLq+wl6GwqGatIOto1spS42WXIMG3BIwhpyxNRxt59lqIYIdMVo3iMcarOpq3xYZYWTzJYOcq5NWLZ3ttaZiCs4iMdtqRQUgG4iTX2snC01uKwvTS/Q/zRytE1iOYM3wo9w++MvYyRk7HNfECiV46STHZk6hNTEJHJg5+Qje2/ZxMmQoFUoaaZs5RGMox4mGktpxSzgJBhNCJxLXVyjIsczE/2C4dh81P+8+hGM6LUAw/98x0YeEEJ8y8aKlQohh8zMCdAO/OqTJHegPRk335xwTbZ0TITGUUt8BvgOQyWQm/MyhDGVeCCkn/nI77rn3xwwN93D+eZ+oXQQSekrdbC5uotTfy7nu4XGcxrBLMW8uJTw0eCePDG5nxcsr2DOSYJJ3THyqsTQd6H+7GaDK0w0TEA1QMw/X1fQdw7CnBfaUYY7kgAtWCDi26UyWpuu1cVBopZoPwggVSoMl3VzP0HQzmmfw2c7PsiclWTfmZRAO9AW97Ct1IxOSPgeivJ6342nuXoW6+nMY6M03jCJdYcIYbIuM8PQLd3v37bw0+gfChL7P5VIR5YtxG4vdkHWQijg7Ph/p75zesJiFKUHQnMZzkzgOlG2RSwmDQS9b8ms4Vx7F7/b9jpIqvaoxUuZ/xtJckQNDHgxkoD+AVseUADLHhJGhbB1t/CMVEZX1/S+HZVRRKwYBBncP6qTX+kb2QSx7z+UMsqkyRkUFfhnWng57W2FlPCnwEnUgYGT3CMWgSMqLUElNY40toouUeMLn3TM/yW967mcbOzX1Zap/y7Ren14J1BiaDnSdQhv+sWu/ukCpEsT0ciQqn6kusBphYm6O/oxtolhdIRxzPGlpSuVXISOJqXYCfr1eC+OqyQp4S/O7SDXBCzbOKqtoOgXD4SD7i+vYvOmfOGnBe8jQWnMKi8AREIqIf+v5RxanTmOWPBk34ZOSPqJEhaazog2lhTYHGkLApsHn2Vt4mpQr6HVB5CFcaihop0J1/i+MQCl11P/KmcYMpdSXgC8JIb6klPrUn3KOVyWshBArhRDPCCFGhRAlIUQohBj+U75szNgFTKv691R0KsKfbcSbyqt4GatW/Y7Jk+cyb/4ppvq2HsKB9vQ0rmm7nkumvksHGQ0Ksuowy2nrhFO9AW3bs529pV3jjYWsICN7/uphkZEawxk7jqlIEEDO15JmDEKbaAgBc+sPZ2ZyplbTAUJomq4tM52z687BzbuV5nqAdCV3jdzF/b13xT2T4vNJeGT4LkaiEa7reiebBXj9oBbpjbdsElSlQQMqVChbDhm9YYcY+WpCI4zQ1IvJhbovUkbWkXbrxl2TbeOA3eilpvnykd4461NtHJc6icPrVuA6bryJlE1sp2npQk6c92a6ZnbFRmhs/56xw66bsdUtAkejwNA1m619nuaBWqWY3vwkERVkFKmIcLSyaw51DyHKgobmhvi4MKnvRaR0rMxee8mo6/omwZoja5+Lm8iAAGfY4R3zrmdK3Vy9edvKGVXzx9FzkpGMewOhIHIdRKjjJJHE9Eoaf19kFQqeSNpt6TJrxG3e1VhkFKvfHFP+JiKWqwsBK064hvOnX0XkwVC9Nv6WYrM0nRvpRNLQ0lvAr7vghaT+/idzD7G5sMEcVPVc0cyDNGthSWYFvhwfTLYIHAciV1Fyla5+6sBQqY/Hsg8yPDCsu7ziVYzdAWJG1c9Bmc86wqVPQSoHYnbF+fgLq+m6hRBdeq6iC9j/Kp9fJYSIXRcTfrn4UL7oUAQM/wG8Fd1gLwVcD9xwKCd/lfFr4BqjqlsJDP3Z40WqQu/YkZd60Q5W/W7Xro3MmrWEdKNApiq/Fw5I12dyYioJJ4NwYHtalw4Kqjw/W80bRxeifNucqzi969LaoKrl8qtourFwzSbbqar8EPv70NebesnTCqroIMgIoDfYT1+pn7pUHRdNu4JJqRngQEP9JFamjiNRTnD90us5qfkkfV/CPKvzq3lpZE1MPVbPHSlIiRSO10J2EBL1wFy9YZZ9iIoGGVHRcQsj1Y6UkSsrLYYInar+L0r//crp13Fkyynj7kncxsHQTvYe5R0ggtFghDWF1ezIbzPBb2PQTQBfJhzaZixCNIlYpFHd5XWiYb33sc8vdDVNFVhj5JhgvxUHmOcqq2g6GzMCKA9XeLrB7kEaZANOnROLO8KEMUaRRikWjVEmzs8qVz8XCdJ1SfpJduzcQRQqlABPasM2bkMTgrIKuL/nNxQoENeSc52YQo08YqQ+dkjjCEW2woOipsIDFsVams7EHqurfUfmOOnpNVbCxBKr3rvMnNl0zJ1LJGFnB2zK6PfN3lsldTUVp9Fcp6OFF9slPFfS83gu/zQbCutjx6q6wV450omrAskpjeeQ9MZfsF1HOOD4Duef/TlmLD5Wo9DyAKuyjzDUPzQOGalXCQtoZkW/uKF0KGaBdmJ2JbLI6FB26j/P+DWVknDX8uqU298rpYbsP5RSg8DfH8oXHdIlKqU2AY5SKlRK/QA47dWOEUL8HHgSWCCE2CWEeKcQ4r1CiPeaj9wFbAE2Ad8F3n8oc/mfjMjs+tUVhPsT2so+Y7iDMAzZs2cTU6fOo+0IUNXaEgn5qMDX932F5wYeZU8r/K4NXklpSak1RpFThYyiCIb1hjvubht+PEZGYzZeK59VY6SqjgPKNzkWouKZHwwZ3dd3Mw/234/v+SxoWEy914R0oOgG9BZ7KQ4WaU20Uufr1HHlKBAQqCAuZ1J9PoRkV2kXq0aexRmC0qmVOZc9LSWuoaaqLjCMtAptsAkebdUbmmuCBCc2noMCSoHeqMeCllj4UaWmU652KlQEu0tbuDv7G27u+aGW6FehSxvDsPfb1m07JJoOxiELJauMEcT16Gx/nqDqOGHuRVgy+T8CSkMVwmqwZ5BGGiGp85PcQD/7rNSlgKir8qKNgi4QOhcpzvKX+rvLTplNvZu4b/0D5Bp13ls5xbiYl21ZsjG7jlCEsVBDuC4i0hVAIn9iig40XVxMQZgfg3DskPrfwtGGxtKWRV9fA1Sqiwi3YqhkhHZ7qaXpYmm4vbeKuIajdMFN6URSJPQkdC25vFEhnnH4u1h51LkaZVQhI4V26qTjEamIQjlf/cTjYdeRRXoRBrVIcDyNKoNCQCmvu7XGAglV68QAPNEKdzfp/96RhpE6Y4wch6gAwVxz+8zarlbS/jnHRHs28GXgLCHERuAs8++DjYlmeki47lA+lBNC+MDzQoivoksEHcBXqgyl1Ftf5e8K3Zri/9mIee0xyChQugsjEfT07KRcLjFt6vzxuQYSCqJAPsqzeugRxOyT6C5Bxq94wbHyTACupBSV+cmLP6FOHE2rXBifa1zMaAI4L2XFY4z8yp8dB/A1KgqF3vwjC+knuG5dpUESqIhivsiW4Z3kokkIp4590T4e6/seV21/G707e5mSm8J0ppNOpunyu2hK1U+ITmzxyWeGnuB4tQLVpD8WVwovGGQUhaiSimt52c20HMFQk1awLHKgQXo40mF+wzIml6dz3+67aKhbxkyxYtx3K4OCIseUbHF18z0VwaSmuZTcyeyU++N7GLmAyWivbvRmawEeioBBKX2fbQ5vbIyM8Y2CCk2nT16VS+Xqki8NrkNrphKLKA2XePlXLzP/rPkM9gwyw5sBrqaNPKE3okAYY5SpMsSBNkYhluLUdJU1tMlEkmw2y2HTVvBKCjxHb9KqXHmUdk0AvGvK3/A469jLs/q+eg4yNH2kEhA1TrzD2MrdQQGiBmqSrmuQkUHD1hiVElpFZnPMbINIJbWAQRpjK6rOE2EMvUHShnXVy9ABlTaVUxIazfUktNAjYZzAhrYppGeD2FFBa0pVyhgJV+cP/ueur3Be58fxxmxxtlq+lYVbh1ZJEEl90eWRMk7okDS1jsZSl3YMePDKCJylYFs9DCcdEoCQLqKMDlhQQcIHEyb9b46D7Nln/BGnWS2E+Dq6zZACPsQh9r87FHt7tfncB9FV+qcBl/4Rk3vNDIuMqlVtBUe/8Dnzu507Na88Zeq8cccLAfhaBpzzQvY5EGZ0o6yQSva4hdjCkZSjMlsGNjMajozzkGxzNvszkfcjk3rBR1X7pRD69yVPb07lV0FG+kS6AsPAwAC3bL+RnsIupAep+lYuqb+MSXIS9269l035TebzoKwbOWZelqZrc9q4crLuRmpfuFhqHZiYkclwXdR0GE2J9rjHTRjpz4WWihC6cnGP6KPDn4KrvNgrrrkMSZz0+OujYV1Sb2oFsxF7qQyT3C58JxnXDsSqyRziZnwq0omvKJidmX2QG6fPu70Lfja1NpE1RkbGKbA0nULPMRDESqgjJ5/Oec2XceysY3lrq37n96zfw81fvpnVX1pNNBrRlGrSaDQ09Q1dEwAvEyMjpKYco5S+jsAxJXQgFgFce+q1vPeY99K4sFkr5TyYNA/EotpnKKRpEKgUMxoXc1xGEx7KkYgI0g3QOg/EAVpdW7q4WKwYlZp+SQJTCJc4mK+kjinGBVYj4vp1ShrhqVFmViZLLA1X0lTcEJU5JBIgMtoYyaSew35fFxMuW1QhqhgIp+IMBmYtyJq28+NfRJtXFZrrsS+tcDQyAgjyAe9a9i4u6bwkXjcoaihuMG1hLHUpQJnOtZ6X0KjQr0wjmohReW2PD6Ef4y+Bm9E+wSGBjkNBRhcrpf7NnPQfAF6v/YxscHkkA/d3wRn7tDEKgZzZyHft3gjA1CnjjREAptBmSERBQGMTlFLGIBi9aUXybfoTheC6qfEBZEvrmN+NXbSgXy69YMf/vuDrRR04lc8cDBmFUURLYwtvnfVOhsM2BiU46RRLkofjluGTKz6Js8lMUsC+YB99uX0sneB8+oUVuMLHsHaA2aBcbYympqeSSqRwcXnjzMtZ2wM7pN7QQ1WhFwMHSpEuNru+tJbhwn7OmnIBfXUtFCYwhJGjKcpBD+714XJT3VgqyKoRnis8SznhxdJv5RI38rMFOYnQXVcFNPvNEz9r+1zQ5aN2KugtQmdyAmRkjRFVxgjj9ZuNVkVAANO8aVzXfJ0uf5SHTb/exF+f9NeoHXollCMTZ3I1vSiNYbJ9cRSgMtoABq4pO2Q3LQXtbR2IDlNaX4HwINE1wYVJXZngV70/4/DGywlUiESiHKkVbh74B3gNMEsgTOiSQHGbi6o1rqwxMogujMx/+1DM6hSr0Pg7QlbukRUFVdYacaX20DHSfnOfhQOdhwGL9WenLIFgmm5iFwoIcsR0uI1PYdCagkqDQmOMFMQ9oKqH44Cf1HEy+5LZOK9MmnbvOUPMmsMtoh7rJAYYo2quJzK17k6edB4lU1rKXvvrzRgppbK8SmLsgcahGKNrGW94rpvgd6/5YWHzYD1sUdAagDvGGO3etZFkMkNr6/i3VyMjt8Z4pIROTC14ENoggbTKJ22MRKTbCozl7G01AutBTaRYitt8+2N+n9b9ZkJHv+iBMxHTXTVvoZGR7/pMTkyjWNIbXsGN2FraQdv+Rpqd5nFS9okQmzVGPUEPq4efpKWzUkvXIqMghJVtK2EYTSsZDzFuEx2ZjHmzuTR4TaCgq3429++8kabsZSTrWiZEZTbpMRKwrx56E1BnUOlQqFszlFVZ05ZCb6pKVOjT0DUbkNm8h8NhksYV70a7ddUyzwjjyUrIiso8IkeX7Am8Kq/dWiOpj9nVDmE75PY9zPN921j4bAe9vb1ck76GNb1roAzbe7dTHijjeV5MR0nPzDsgzrkx9l9vUKaVRliFjGJDa/4dV0UYs3bs/B0j3Nie30Qm9zLrco/QkfS1cTuEOIWNoxTLOs/LC4lbsoQe7J0DzcoYGhMzctFxnJKN0VrjY9+HMTl1McIyx0dmvVcbI1szELST1t+kVZmiAYKRWgaCCDY2QWmgYox07yC/gpwmQEZSwqQjgEUgBvXvyo5W94myvo+F0SK/WP8LjiwcyQIWxMZoXwtMrjpXSVSuIRQVY1QSYU0po5iCPAD9/loaQoh/VUp9xLQdGrcVKaUuerVzHHC5HaSf0cO8TvsZWZqulNCLYNDVKqwQjZAiBbt2bWDq1HnYgqHVQ3tsksiD2VNPQAjtxIQ+ZFM6EGq9YvtZhd74XC81zkOyXHj8okyw4hxXn1+MQUa2bl3oVDbFg2VpWzXX6MgoLw48T648ojdmH3409EOe2/Yc92y7h235bVVfAr6TGjcvS/Gg4JXsSzWblg26lmwMTEF+NM+/vvBl1g8+Gzf7U8oYI2NIbTX0VKqZazs+wu/77+PlwWcmNkZORUFYTGh1lRIGZSZMoVQTcxGiyput8tJVBMPBMACbcpvi8+8DNq+HqCoZRkXasIROrTEKPH19ZXMdVikIxC3j9zfBowKSiTqanBba0m20uq28WHyR7Tu3QwmCIOArT36FnJOLYxh42hFRipqcG9uwjozZTKuMEei1YJVqNmY1du3Ycy3oWsnJmbNQQDrRyOLkkXx40odNX6jxx4wdVkhTUJAzCj8hNWV69yR4/HB45ISK4Y6MMQp9KBpVexTpLr4vNhFTkGOL/QqLbCITl5NVDtwE8+xJ6FysdMKsMQxzgEZGz7XDRpe4LJWKwE2l4y3UmcAYgTaSIk2Mqva1wK/nQmgEDLmBHP3ZfvLSVB0B+jNw32LYGlXOU6YS6wttTFPAKyMv1zgBMS17MPr9tTN+Yv7/X9Ath8b+vOo4GDL6/66fkV3AZSOLHTbqmAgjkVaapps3b/kBzxE5cM0Vn+MRkwCXFJqqyCc1MrLlX6SEtvppFESaYpDD8ZMTIiOqaLqJXizH0QiIscjI0ZLyyNHfHzjjlWfV34UQRErR19/H3Xvu4PjJ15AQ9QhP4joe2eEsz2afpd6rZyYzAfjI+R9hzeiY3gF22IZlY6okWG+uBDzQ/QAvdb/E+9T7WNKyDEEbRbNJx8jI8Oeuk9CeYkKScuoYCYYpRYUJY0a2IGgkIJWGPfUa7fgFECk3pjvjRm/me2Jj5OhNb3HrYvb4e5hbNzc+fynUxjIqGSOGic0Y2idbdU/Lrn52ZfM3JXVybdw2wnj0gQsLOo9iQSNMmw4DDQP8285/Q+6RpEixuGExW4IteI1e3HRQefr7lSBunmerfUggqqugTVuSJxY4VBsjOOBbruXn2ip01M9kfuMcMq7eJA+ls6jj6HlmHZ3nJZp0qOe5ZtikdLmsTnOeUGr5tWvoZDvnUEF3GzyehDMkdITEJZIqD92gQENrKVmJGU0UJ80bh6fO1ykb9rO2bl3R0nQmZhQpaG2bwcr0KTyhHjGxzgMPi1BDATkBOaPKdPIu71/0fg2vMXMWGgn1lGGWcSoCsy6sgCJKJgzK88Y7do42Vq91e6SUsiKFFuAupVTxYJ+faBzQ/1FKbVdKPayUOg5YD9Sbn11K2SbSr69hkVHZ14tgxINR88BLCcgWy+zdu/WA8aKY+1aGKgF8qT29XIK43baNGU1qnsvK9MkQ6npW0ZgVpaqQERA/je1p+E2Hnq/vo73kMcbIymoDCYUmdJLcgomv2yKZ6kKdjpAxrePLBPmc9uZklVfY1NKE05Yap+YJHZjdcqRRKI83RsrV3l9XuovFycX40ueMyefSmZmBcip5JqFpox06MGPSQt5+1vtw2xt5KvuwqSEmx8XRLDqwcbJ6CcUMlFwd+LZFLBXEcTbHikBkrTGa1jqNt7e8nY5MpcJJMTBVwKtWuI1VKKHVl3YeNtk48CqbpGmJow2h2WwCGzPSwUYa3AY+2PlBltctZ0ZiBhcuvpAPN34Yr96LPfXI10hDyTHGSOjYWFBv5iYqtd6qFZpQhYwOQNPtHdnMo7kH9c1yJc9kH+OWvlt0HOcQCHwptcEcdmBjC9y9XN+rHh+iHPhdGiVVl3Cyxqhg5hwqI3ihglLGxketSjBSJs4oK5v5REazKMEJwTOCg5DKuyaUMQayYgwUGuEFhFpheCC+u2ooY4yUAyR0sLY8UjbadP0Zi8hqZP7mOu0+EgCJlk4+2vY5jut8Q827ZKu7jN03XuPjImCDEOInQojzTW26QxqvCsaFEJcDq4DLgSuAp4UQb/qTp/oXHDbBtOTp/x91YdR4m0ECtuzcSBSFTJ02sXxIGI8mMvBaCUhJ4+n5OpHT8thSQiBChiJd+0smEuNzdWRlTtXJcfsT8HwEPUXIZKDzRBjTFJREAor1mqbCg1wXiAmrRpkhBREKFah4o7eUl+ckyOfzoGC3L9lV1Rt6oqrDf2iGcOpMpnkzNF035rqEqzeXxU2LOav+LFSgKIVloijShkQAysRa7EYlBG1zOlGuYM3oY/pciHGbokUHoatfUt8Yg5KvPW8SVQS7mXeMMLxamo4G4BjiAJFC00eBQ9zaG/Rny64+h1VdCqHpOSU0wrPIKK6pYIPsxtg+v/chvtfzdW588kZ+0vsT2vw2Lmi5gLe0vgWWAIuBjNkcQ8B0GI1ciKqMkXD15UUp4n5WxarNcyxNp2Va45eDEFA0RWwRsLuwmcdG72dHcac+7hA3QJmAUUcb6V0d0BtAjwu+gpRJRrbGyBb5E56uwqDQ1HbgV2JyRFSqkNu5yoqAwdJ0cYfmCXawogQRGkfRqielQUaRjvVY58LWAcwyyDP5xwhV+KpS6li2jon5SME72v+GKdEUvr/2+/SH/UAFGVkaHXPNsTE0fx9pgKEWGG2uNa5SQvsUKM6HLa+aTPPaGEqpt6N3q5uBK4HNQojvHcqxh8AM8xngaKXUtUqpa9Cv79/9qZP9S45xyCip+e4E2ptf88JDACw57IQJj7ebdxgZ6C/0ghe+pulKFtsbOmhj/zOsKjypDZQ7vkeK9e7sXhI3+zKeXxy2aGLcpuz70HcC5FuIabEDDSFgcctxrMycEFcAkELE1+M7SW2MgFwk2bOh9p6NlaSPOLp76u7ybkCOox+FZ9CPUARRwPDgMF9/8YtsHP6DptgMPRl4lY0lxGyeQsQowvZKGnstWGQktYAkTEDRM3knKY2M5tYdHs/bFrm0lTEiG5sQ6MiyQRkBGhEFDloZWXUPAmuMnMo8LDrDBtWF9nZlWEFCkdAbYkBILswRBAFKKJ7KPcW2/m2afk0Bi/R5bDKn8omz/kXVRqQ7i4IylI8SlTYO1dQv5n7KsBJzGvJgb9VGP71jCSvSJ+AIF2USYC9uvUyjkzHrLQR2pRg3bMuQggPZenjFh1wESR98x1BiVBwA4er1YdtrKFUljbcb9thqPHbjjiooMxIVSfjYUZBa2ee7en2XjdG2NL2lyYy4USseU8649/BAozr3yYppUn4dI9lRdg7tRCb1hSiqqNpqtARx76UAvT56pkOpZfz1pLtgy0lwaz0MlXldDKVUGfgd8At0jtEbD+W4QzFGUilVXY+o7xCPe82NCL3QbMyo7OkYQVLol+/F5x9g0qSZTJ48e8Ljre6/EGmPVShdBNFLGEWdCcxbNV1r43QQgs7EJLNTVs5lFUQWGdnSOEBc9v/V1l7W1cgAqaXO1WNrGtbVV75rev185iQXEJUjk4Aq443ZcxPki3kjfxUUq7w489GakXdgQ8/jutWymKARmanm/Pv9v+cL+75QVXVAtzovi8omFMkKjWE9ebtxCMQBcpxMDEdCwtCkRVNg1TY+m5ScHhuyuJSLW/HSowmCAmW0kYocU1jVjGpjVKg2RiZRM/KrYkZQU2XZIj8hJcpU7XZwuGfkHn6484e8WHixZg6h+T5RbYyqYijJtDGu5h7ZEjrxXC3qg0ruj2ECft8GN6e102QRZiQiTbV6GlGW0c9qrOhhdwpub4HNY+6bY0KKBQfyadhUp8/vZvSzKRmEaEsNKVevc+t8KGXqLMoK22ANbfUzt2sjMs8hjo1NFDOSOk/Lk8RIXFWxENZBiFRFkp5oqOfCxrdwVOPJh4QKlTVoBrU9m3uCNQPPQgipulR8/y0ysu9yaNa+TZCOzDMLLI07AakVCK1WHArH/+21NoQQ5wohfoiurPMm4HvARIkF48ah8Hl3CyHuAX5u/v1mtNV73Y2YpjO9SVQCSgVIOxDKkI0vPMTpJ182oZIOIJWCkXrI9+iNVETGGKU0Miqal0OYAGlL42Q+1vb3pDvgCUFt90lR2XStxxYjI+N1HSwCGArIC22MhKjtEQOwoR5eysEcs3kMhf3sLwa6hYQC6chYDOC6CYbyBYh0DKjoQlRG0ztV9KGZJnkJszuPYoBVmmOfwBgFClypd6KwYErNCG1c7IsX+ZXN2nqMEeiinbYBzwTGSDjE1Yx9qZMoS7ZUi5He95d6mGQ2FSk1zRZTIBYZjRklNDKKBHH1bSDuLaSEqYFHxRhFGGPk6POGUGm1rSoxseqYnZQSIQUqUCQTtTDAVvIQCWhogHInNbrg9llAe2Ujj2SlPp1FutWFWkWkDdv+BOx0oE9CNtDIeu/QZtbnniRIgnA0Mrip9xccqz5F5Nbe+rKEbAj7A5hTFYNyXCgntSEpJWGXYW0zKY3YAlNM1Rfm4sxziJFwFU0XGuMhJkBGtkq3TWWIaT8rkEAf70daVOAI/SebmGzVlpExjpYmC0DXHUzD7MRCpjUupPtVXO2a3Ccztxdyz5AoD+A4Ej+lb5D9e2TZADNH60SEVfGrsgue0sZaoN+xEQ86isaAiUqc7TU+rkMjovf8sSKGV0U4SqmPA98GlgJHAN9RSn3iT5jkX3xY2W3JJEmqhFbdJFzIvbSGwuggK5afecDjPU/HZcpFs8GYjdpP6phRzng9VsBQpkhv2EdZhPolG+txiYqHa3NTwNB01AY9x46CgfmeMSjlMefOOZCTOgYiBDy9/x7uHLxNV+1WIAxNh9RKtmJU1MVEkTqZ1tQbU2NourLQG1OmvoN2txMp5DjpqUwYhICm2YKC7hC3e5KkL1Ph6S0yCmUFGa2dBvm0Y2i68cgIiIurSnSIKExUFIfS12/ziyOrKjSdo9GTdKuo1gmMURli+XD13wPM5ufWChhCc90qWaGZQuNd2Cz9SGovHCPzL5fKOMKh0W9kaWop85pqxTL23ggTM0oeB5UayMbgNlApRwMxkhXGibGBK0vTKQ/WNsBgUEsnF6NcLEIRpjRSISrqk44RPcQb4pjn4Ti60WMkIWjQDpQo61inhylZZda2MvdW+rXIqOxXzh8JnStUPWwLitgpMBt80YVuQ2G+1Ag/bddOUF7oenwOaOrTIpjIGGvzPGNjFECUVHyn719YNfT7g+6KJanjhtaJtDTdW6f8FUemVpCWaYQv4mdjBQyhNUaGDYmEqcSAQU5jkN5TrfDLRo2IbE7dWIfztTiUUm9RSt3xv6qms0MI8RWl1G1KqY8ppT6qlLpdCPGVP22qf9lhabqiC4lQ8/IRWpE18vv7ATjyyNMPeLwQkJps+uOYYDiA5+vf5aGmJH4DNgAAXSJJREFU3Puu4XX898AN3Dd0tzY4YwUMVBa1gPhplM3iKx9k8RUdY4ys4RvzJEeFpiGLhpJZ2nEyZza8IVbTSSNgwNHGyN4gISRlF8qF8UYy/l5gqNhDd9A9ITJyXH0/pHnzg4I2q6Np3a8l9hI98zIaRBEBWR8iV9/AsUq9+N4ZZITScYnI1OmLPJC+w/GZMzm/65r42EwGGttBdlBJmp2AprPtC5Q0VQ3MKBv6CFfTTkCcPOsE2qmJ1XRQqbWm9EYTCeJEysC0hvVdn1JYGr/pm+Mn6GJQM2InRtRStGORkQy1sdiY0iVUhGlLARodK+AtXe/FMchIoR9ENIams99XGON4OI5WdZZ9SHrmnhQhlankFJUs6lfaMNr6gKGBwiUjMIlc9DM7CDKykv5Qwo5JcFuHNq4jHuwMYbfpWSgd/bpFxtGxOWAWGYXW4YtMXC0pyKpRnhp66KC74ouN8Pt6cz9EZe0qV1AI86REKhaMRFTWt32Xw6rnFlBxYgIjPFGeNvibk9ATwWjw+kJGQohLhRAbhRBDtsHeobYcelVjhK7UOna84Y+b4mtj2Je06EE61BtG6EDahdwzT9I0cxHNzQeTpEGmDnLt+qWwqTYJR6OtIsQlW4A46bUsyhVvuXpU8dj231ChFQ6GjPJmQ3WMUazZkNDGKHArG09begpT/RkoEzm2xkhJWNhwJGc2nKkDzEoSSSgUqGmJYYdFZDv7X0ABp7ZfjHJ1rom9DiH05mQj0kExiGm6yHiqCm3Q7QttX9xQgvR13kXGrT+oMRLm3ke+poqUB9ITHNF8Il11s+OAuJSQORrdLtzSoweIGUXoDbTaWFkprnC1IxOqioDBiXR8xcqHQ0XcDM2q3SJpJgEUCmX2+Q47C92sz62nnK6NDFpjFE0gx64esfjFqTWQUdW1BZF2jnK+3tRSGT2vvKX1HGEkzwrh6ZPYkllqImTExMiomNQUXaOAKKVtiesaltfVRjC+545GqIERAqnIxIzQz16LCWq/Q8iqWIuhS20S8oDQ11Y0CHu/ue+OW4uMlIDIxAOVqkJGIXElbiXAFe44wU71KEoYjoyRsWtXwrOjj7G2sJYUtcbIIv9QVt1Hg4xidCiNwMEYoy11GsUWExrpvZ6QEfBV4CKlVKNSqkEpVa+UajiUAw8YMxJCvA/d1mG2EOKFqj/VA4//j6b7Fxo2z6DgaW7ZM1SP70F5904apsx51XP4PqSmwGhTZZ/00N5nyYGMoQIEID2dJ3NU+4lsoTb2EstDzUteXdq+yCEYIwP9E542itUoqiD1Io6kTtIUQreY3lrMs6hrNm+a9E6k16gNmITm1CTmZjpZOu1o/oDLPqmLX6ZBe7My1gJoZCRAOQKEwHU8cmn4+RQ4fjccFuoNKvBBmASJoBAY+lLq8jWWcvEMZeZUKIuy1FUYOv00UzPzxm1+YJwIt2KMhAv7DwenC8QgbFukaa6JclBiZKTG/62EoekStX+3zoEQ+rqKISSNNyuVjhvGMSNB3DPHxgZ0rym9FkrlAEdJiiUtf/bqaiFIBLqlwgRy7OoRJ7Q6Rk2nKtdmo+VhSEV5qDR1FTkawYN+HgAP9d/JLPcyrFxZmXtcMy/zt5JDzcK0xiifglah27AnDNB20c+3YNYZ5r5YYUZgLqLkE8e/JMQVu+Nn5lTua1zpwqyZwNMJt3bN97nayAmDjJAG2coqY0aFXqsufZR2G5iennNQFz0ucmoNv9CGZGdpCyhIy3R8fEzTGXRGWDHqVgVp41cxMnJhYwZGlEaK5ap7X5xgPb8GR7dSat2fcuDBBAw/QwsVvkRt4bsRpVT/n/Jlf+kRlwNy9AaSdvRG4/lQ3L0L7+SVr3oOIaB1EQxOAWHS8V2glDZUQhUykr40/LRxVSeKGdn/rjJGZbP4xlJv1WPU0ws84+lrqf5swVB4oaO9YCHgpf4neGVoN8vdv2JyIk2fY1RYEobVCJuK+5gUzsRxHEKpkz9tzGgcMjKefohi48iLBOnDGS7D1jIcJol7Go1FRsrItq2AITSrLzSbZRnzsnoe5Wi0pgBr9ZCeMQR6GnjS9K1pAYY1KvONQmvcsWZDDg6AjJQxRtUldqxn7aPPXYwgZXj+lNLOQGici0iYfCcrypC1yCgoBUjhVJDsGOWYFUC8mrQopunss7fXI4mVgkGk719gELgnjXGwO72h6UaiYaRfoekmKiFkN9HimHuaSEA4DQbaYJYLyxOVoqweekMtWqfLGCNLcQaBWeeGprMxuGr1IFSuQZiYk1Xe2bqGOaGZgkhBn0+sRnSoUNgWtYbVwhLDLtg55ckzUO49KDKyaRfWKFqU5pgqDCmvUj4rohIzsuvJIiMlKu95vEZCyGdgt6sPlomqd4LxitnX6FgthPglcAdVGiyl1G2vduABl7zp1jeE7vL6/8WwSXOB2TCbXBgIQYQFyr29eJOm6urPB4DDo66uezUrS039LgddudvSDHbzzoejKAHrRteSUh0TNKgznjB6A1JC/7f1mA4WMxp1deA1mdRZ7dUL1RqjQFZ5wVISqoievl5eHt5Ja+thCOHrbrXFbbzQfyvTvXl0dp1D5LcRtxhTtZt60RhwZTayPYXt1KUPJ8B4zYq4h5AyyCgsGjWdFDElJ1VV0qjZuK3nN3vKiXRv+ik7cxtpZ4JqGE7FGIHu/RMH8WUFNcgJPEnbPtrWRqsepQjcMlrYYn6nqNAkrtCxqbyCJqGrPqSFnodFRkoZqqm6Xp2AdKaFuYnFdNT7hMXpLFhxOiu9YFx8xMqxD9UYCVl59paCtKjObrSWFvWFvncWbUpXo7VzOq5gwMCZtFuvz3uIxkgIKCzWVJzvQ1OGuNuZi/k+c28wRtYqEW2NwrKltQyjoKzaVR9OUzNEDcCgfs/smrHKulFhxENAvxGTeIams4YsVtO5tWgkiCrrpEyZvaWdB60FZ+M3Fh3FogvXJVDQlmqrPCOqjJFZb/ZZ2PfbCoRCCSrUhrkUaoVuQerPWAM29t6/RkcDOjpwdtXvFPCnG6P/H0cEcS8Uz9FN3UZmQrZ7NwDulKmUIkgeYDG+1ACP+fCuQb2o7Npw0Lx3yQdZJr6rQVTQi44QT8I982El0GgWpl2U9h8ifikMn30wZOSCzGtj5Iz5rDVGyoW8azY3IVAotu3Zzv19d3Lx9DlIfKQLXZnZTKl/A3eO3kMmHCZKtFGgEjOqfjkL5v4hJZGA41rPZZVJfCwbCsdW7o6MFUuKJEc0H8vGVDOj1vsN9YYE2ksOhdm0FLiZBqYn5pKUKSJgVxqm5CoATUpNz9h/+9UbslO5tweq9ae8ipEGTWUqjDEy983aKmuMlNSbedbVn+9JQN80aBzWzksgiT1iQZUxMhvhpPa5HNk0l0mTYf0A7GmAhs7KMXb8McYIoa+xPMYYVceMpFMRxCTM5wu2ioSrvzxSEW4iQb3TyLTkLK1knCBmFDGxd553QBY1w1A9PPT3F0ycB0OfYWjNINSbrBUwBJ7+u5DwQAdkS/DGQb3GuUQn02anguquGBOL/vNmkx9K6HXhu1XIyKnQdBYZKWMQo6iisoykkXk74x5LPOy9jKuHm2fvSI8m2cQJbZWEeUvHWYNVfR8RFWfTnk8V9T4SKS1Nt7mGNqpYOsC+9FoapgLDnzReH7b2f2nYGmMRZtGjczmGd+0CwDHG6ECj14eREAYi492bxeSArgKQoMaoSJNImPLqySf4v+29eYxl2X3f9/mdc+97r9au3qdnmrPPcMgZUsMhTYriJoWyNstWYssKjTiRrSCCgBiwEMSIEgGGkTgInMQBrMi2wMCy5MS2bMORSEGyRIGOLcsyTVIUKS7D8WycmZ6ZnqW3qq7lLfee/PH7/e6579WrpZeqak7XD+iZqlvv3XvOuef8vr/9xzdn4F86wxLwzHL3GXn9rKExmu3A6HLUkv1FqZpBW4taN3u6lGq+aNeme+xt7+Ivnvlp5gptLy4Ryu4cH5j7AD9z91/lzrn7qbu5XMsmzcgkTYLYQatZnzF/j40hBAWYI8VxPjD7AU7Pneajd/wgcwunVIMw7cHDdEcWFODmnEvDN1iKJzg5c5ZvLsKvH4OvtsYgQbUSB5tObB1Ul8CZbqaLEejmwA6Ap2v4wsuwMdSWIk0lBMiJi0GVmBRVEn9hFi6egNf/hD6y9veZaEL+nRG5JA0q/SY0iGZtefP4aowh7gRGPs0JE60HxdSYWbrIqQINGJnEPSr0i5+98GsWhFGRQtS+RHPTnzcNjK4GrQVXTGhTJfY8BwNUU/vdU3DueC6f1TcwunIv9IyXXyrgSwFebplLkxUnntSMVsy3kgq1KlRouoZt00abSeaH8bkMC3sfBkbHFu/m2Oyd2ya9Dlvv00PMXTMaptGYENGYaaUVQdraE0PJ1hqvlTeyMk/RQHtENhN/O2hGInJWRH5VRF4XkddE5J+LyNndfPf20ozMdFXJuIO2AaO3nWW9D4tTnMc18JqVMVmzTRRbZrra6qMJNKt6zx/7AAtfKHj7/e/jyyYdPTcH9eVxM12ABsSGdi35Bk5sohq4ElT6E1HH9EjgP8zT5IJUGBhF7BetTVdKh8XY4YJLxxFW0wZ/uP4kR2fuoV46RjAwcp9Re6023P5tmtE3l7/MWu/9Gqbq5h8z0x3tnuFdi2eopebcaEidCmpr6BYMjCRoJOJAMgN/fe15rlz9HPeWH+OLR+D8EF4b0YhO80e0sd7IGGYpWRsMro24FD5BIho23U6CGCS42ofOZWViTckiWma6oMy8Nkn83CwUy3DsvqwZufSdbC5e/ywJvPjG1/niG79OMdzg7MJHOHHPx1lZU5tGmyqLgNtKTHx6Ho4PspkuhomkV9OMamgc4kMHo5DB4Y/m4YWjqsosjy5ThZq1+irf3PgGd4/+JGl2XDvwPJlpfsyrQU2Yk7ni0faCV8lGoO7ApQjHuxbynXL181EEeUC/uyG6L/5tF37MSkw0/b9MO/c1v2J+IrpQmRRVWoCL+1M9tLt5J8E0ppYW+r4P/wQLFby5qK0KpmlHQ2E8Qs7O6XJ1mVhd5YX+C9zDPQBjod1jYARjQoSDWqpzdZgiZB7gmtHIfEm3OP19NN7gz9rvf96uTYvKHqNvA6y9eZTImzFMAaPyrru0cOoUWi5htdYNsRryhoKsGTkYuURe9ApOPP4B0nxoAOaNObjgG8qBB7g6C08tmcSV2DaAYa1QJ7pLooVpK19fhE9hkupIw2vXDbCCaUYvvnaOLyz/GwZBZX8pYI11PrX8KX7h5Z/j8uAC0bLnveT+pgAGaKLD3hy8ypq1XfdD462+ByRGacQLr73A33nqf+bS8reyk7rOfpZBR6Xjfq1rdOyOdwLCv59/hvMj7RU1piV24co7aRq5lWbi8TI3ntOyVU+eYlZ9HE5Dq9Q9XAN6uibudxkwrhkR4dVZeE1gPkC3pyYVN5v5c5sePrZXenNHeaT3HTy++F7umLmH0SysTAmX9MK008b+Sg8+exR+O2QwKlsadNPvKNG06aDlMypj9q8tF1AfvYs7yrs507uH0BGeWPwI33vqx7TN+aRm5Fp7HI80rNDzUE4DftSE2nczHXpOvK3G0PbXsKMfrlpzHqACzZNHtH6kPyuhYFSZRp2AlY4JItH8TiNNeQAFyaGvV8tnlIL5qlqaEQKrs/CZd8PXtuADA8jpCA5yEULUyh+dVnl914w8cg9a0XShFcBg96OG4Yz+3rF3OSLnSX2bRNOdTCn9/ZTSyP79EnByN1+8rcCoTtnOXEyAUefIEcKR+aZ52iRdMGY5LFTbqFOWBCMq8Q0648zbs/SrOm/gQQnfiPm7bqZ79ST8+oLWn6pN+hu1xvLMvI4B1CwxqqEw53cUNYu9GWB5Bl4NGtzQKa2CsehgkiReOv8iv3/5s9SiXhEpQcpew0j79TqFgUM1GAddsKilAClKEyG32s2MCmj6sDy38Tx//bW/zsrqCh888b10Zo42Nnup9F0QDEh6VvMvwDDWjNKQ1V5i0IdwNBcDBWMuKTueC/Qew1ZE2WTliDaFGV0XbxMxrEG60J9Hw4pbZrrzKFitHNFwbonwzDFYHcL8cbufA4IxPCT7IJxhLS7dyUcXf5DvP/knOTv/IPUMLE/Za975dNN1gX93HF4fwsWQmVoZxvdJEzVG1oxcw45BP98PWqFjGKGmRiQQovCeMx/n2NH7tNvoFJ8R6DsbtqTzDQsCiFvYWBowCno2BmUGkoFt/loMYFpnYkNgPsHqUfi6Pa+pOhGymQ7RhNc6qeaaCgWj0sZTTGitVQuMKtNGPKfK28iPaji3RV5FWzNqQrsFjs6egQSnF07nd0EGmkkwapfF8rFIraWtals3ggp4I7Gfvz3sWG+KyJ8XkWj//jy7bMZ6W4FR5WAkVkbHaOXcOebPnqUuxn0JbbrgfpSOHpREZoYBlfg8OkzaTLlQib3xH8zCs57U19KCvNbc5dSS/lpM5veW4Dfs96uF1ftyMAI2uqq5DUt4ubRIuzJHTkm02mgm1gZbAAlA0cm+KwkKRjMwssowbc1o1dbu2MmHNdw5znDVWqM7U3TNaL48xsfnP849C/fwnmMfpje31NjGwaRB0TEPurA+0mtvrnxLfQmpT2GMrq0lOhhJG4yKXG2i0Yy2kCSLEjZmYbRGk4W/WEH5IMidNHktNfBqBfUIlk9ru5BSYDiAU2tw8o78/t1nRII3j2qgw1j4L4lhGrLaX2VQj4hzsGrrsAZctrHVjd12nJ6dgxcTrPZoahe2NSMXjrwgqBcWpbTo0Vr9EKWBw0qA1bULnB+e4/X+y4QIT34QLt9pAsrEGFwTc43GyRvZTfbbcupFA35RMBpZ6Z+hgZH7TJoqC2RTdSdBPQtX7XmN3yfSFKlNEa6aZjQjkEpr4meaUQPWtic82dUBwKtNTFbi3tiC8Q/IGm9TqT1CKEpiiow6GcVqsilvUwCDAV8i30taZrqenw0bv5jwMMVqf6vRT6Cths6jzVl/1K7tSN8eWHuTqK5peugULUa1/PLLLJ49C4VWEphGFzsmQfdUqvTq3GDmcCsR1HY8u6lmmLKEtNiBc3NQr7Wc3GRH5xVjJsTsC0ho9NeaaWRXC5XcZy1HJaIHYjBQNX99XQ+mGOPRAAYhpaQtJIDKoi9CRDmGHfQggWjgsGG2+naE2pooAyzmj5jjtqOSb5mZiYjmAvU6S3zn/EcY1AMu9S9S1YvUQT3ITevooAxq1FFzTBVgZXCBGRSMojHZYaAJcXPzhu/eAjW/rKOh1l4IdUswKqxqwDqUi/rZ0IHFJ/Tv4Wllbm8Aa1dg/X7VfIsIH+nB+lk4ejxrMN6kUIy5/dHDGmDyRMtn9MrFp/m7r/8jZlfh/tN/nKNzH2K9hHoAL3TgtZfhoydVM5oGRutRwat3DEYXWmY6lLGPUmao1Gbasbp0Q1FNNEQrLBsUjLzddZCo9d88uKfczPRcoq8742DkgsGkJuXUCcZgRYc2LLOZbiDZYpBiNje6xlC4RuCMnNaeKUzoKKE/0D0wh57TgiatizJkQKDOmhE231Qb+PpY0PFtRJjMOk/kYALvv+SVFN729u/iv3rlQ3SW8ucdjNqCpZtM21GQHk0nSTWjlNT07vt+hI5/VOYoz1uVUkovog32rpluK82oTnYY0Agsp+Vz51g8e1ad+VMYWAJeK2B2oBLguh/W1mdDafduX7MNP3IwEjgqsLYAr9hGdwnXD+WKA10clxRHwNWeFk5s5xj5MFJQJhHmlKkXotUJhkEZ6wOnnuCHj/wYlWV7NpqRZN8NCQJBw5I70B8y1vRvYGaDUmB1cMkifEZ62Dvj5iIpoS8Vl6pLPH3+af6f536O5dXzuj4mjfq8Rx2ojMnVEegUFm1UKWOR8Xs7A4wtMCLmcG3XjLaKz41RNdmNPmNtvhuyQ38RSFdh5RGVWkOEmQKOnRg3pUXsXRkTHRSqpXp7DBU2JL/wEJr6fdWGjmFwVTW1CqaeypG9n45poC5pe2KpJ/E6Q23acXRpEkajgdF6qT6zcuk4R8uTnJm5l2CaBiM29xMi57pUxXjwhwdHbGWmK6AphOr+ocrAyKsLaIUKGt+8v18PinDzb2OmizRV1CVmTXAu6L6KrfVzM13tmpFF0xEz6Hkn3KYthEwPo24CEiT7nj3nrb8orL4HOAaXgN/r61mtRQXUyjVWF6TaZjrTtEKy9JDahGXb994Co/o2ACMR+WURWWr9flREfnE3372twGiUaFo/uM+oGg65ev48R86eJYTcybNNGxGW0c6VIiqltpk0qCTT7447YcU2Yp986I7UUM3B8wYACZXOPDrnahg/LGDqfFJT3MVanc9xoM5z+6hKkAlOWjuDWJhJqaNmwqOzJ7m386DWpgMTO2my4d0EEiQQe7rxB54PZePYCCq5FxEuXXkOgFXWVAo3MPLK6KEDr/ff4G+98bd45o1nzPQYGjt/3ZJQR6ZVjlDmXZk3fMQIEfWJbTLTia455LIza9Iy020RTQdWrqinmp9rEHWLAXu/nT5Q9KE6nZn5NPIIPgf0YWnMypiMPlR/SAkCkRANhIcKwlVA21dsMe6h6BhKd96jz4qizPBS1GAVL3U0wkx3Xf2um+kKgY2ehlWPCppW257/k6rpYOTSOXHclD2Q8XcxSSU0zSyD/xxoqm40zRtbZt6B7aNoe6WJOpPMvL1gqjc2rGuYjxp80rb3xNZea/uMGs0oaSmjLxzPgupk8VmnJrgomL8T03poCUDAVWDlAly6QFMpwiu6Oxg1lSH8HsHWp8zv2WtO+phGxSZl7Vakd6eULvsvKaVLwHt288XbCozcTBfqHE139dVXISWWzp7VsjJTGMGa2cU7Zkvv24ZuZ/gXAd68C3qtuJGZGegswtp61gLmgdiDcz3G8ow86mbFgMEzxyFrN6MIbwhcLLT3SWnSfACtvj2EYx2oZxQwCpThDWu43H+Tp/vfpHIPeWccjHwskoRQZgk4kZljP2YmsXj6ARLQ7S1RRbX0uRaAzbEOWqVhNNDadIg05rm6cMZsTttSJeUqwsx3fZQzJ9/F7DvfiwSTbic1I7KptUCfvWHzafJ9tjHT1R1YrwyMaqhbZXnEGF1/pPkzWtpoGzAi+z0SyliGziRNqvW1wAA/RJN0BxmM6lE20QJcKeCpBf250W5sn3jkogevfPYM/M6sMWoDI29FMTRwDjED96CC9fXLXBld5MXVpwku6Vc0bc7b1FSkiBORiGGzpWFsrTFwbpnpKmO+dUXO+4lZ83EfWHRTld1rzEwXdR0KAyRGqrUuynhkX6SlDTno2z08gOHiEjwX4FInm9am5fQ01RNampHXVvTQcbB9jNZ3rA3k6zgBRqEFRmbyc59aqCwAw7RCPydVwY4NN28BCiJy1H8RkWPs0h10W4FRZWYCqTIju/LiiwAsOhhNWbZVA6Oyo4djw5hubDHIMsDyMQg/kK+JwKn3QecjsPaQHrYywFJHC0p6/5mm6VeyFgpY8U27j5cNqSK8OKPO7tm29Idu6E4FJzpQzULRyVFm/Rqev/RVPn35V6iqmmB9hkCl+sbkkDQEPHSAwpJQaYGRgWJRgvQsAq/sMIrq3K/swIGaLV3DqYY6kxQkO5DNTBdQ00Rd6mGvIoyOz3LfB/8Mg6NdbZIm40m9jYO7pRlRqObWDmBIre+0KUbV5NaM0TnTdgpBpdD1vppwhtEEmC0YrpDByBMxvQGcMyNv610JPH1v5M2eznkwVC2lDtacsc6a6NML8KlZuDjMmlERsDbmyrwK0We8DrxqjLkv42A0EF1nEQOjoIBVRX1Z3Wj11NyENBHW7ePGNP1pYDQttBusgHWZtZtR2dIWagVkZ87tXCYXNkSyUNZ0tw3ZZ1SigBAsgu7Dc/BQq4JUxIAL1ExnwigGiCTVkithLEJummbkmr/7vLwChlfoaINRqnNIuwdauJlO6ixsOqDVdiQHUf/esbn3bewucH0bVO7+m8Dvi8j/JCL/I/D7aCXvHen2CmAwE0pohaJefPZZAI4+8AAXYm6e1qZ1C4/tdZUZbNhGCa3PFqLMelptu969MDiqmy0E1V5enMuM0KXphEVhoSY2N/m5Db0u4fkjyrwWFvP93UzXFThawPtntYDlMrqBVxM8fOZ9fM+xRzg3+qr2IDKtyoMsnBEJCkbJwKgdleaZ/J0Aa/2LAGyEAVJpsuhV1yCD+cs6OqnRcGTmjZAjkEwzcmaB+0+iPntk0WhupmubPxtm1fIZSVurNS1isvK0UwgQuspUG6bdMk2J6D4phlpwdSjK+MOUvWGPa8r+OLD7+N18Vxeh8QFIDDwf4Z2Fvsuh+RaGVh7HNaONqOHuy5VpRkOrvG2akaT87tdGEGdU0xjadW/H0JcsOEX7zzBBVWoVjcePflTXysYbZidnqOMua2XS7b46bkLeCowKTKK3vw9jNtOlSsGhFt3vtTF7L7nTCS1Hf0UT7BNMqwmm4PcjxKT7QYLWyHNqNCPby5Uxe4SmOOnIcnu891QK2VTYPsuNZmRzcKDxn93pNUTz/FbvookYbZvpQhuMyPcgKhi5z8jNdAktU9UvNrfwuNUopfQPROSLwH+Esrw/nVL6xm6+e4tP7eaSg5FU2eRy8ZlnkBBYuuceeiGbotq0anbhmY4lDbq00tqohTHYixF+59TmRli1bcIQtO/LcB4u+4ZOedOumwmwE7JpxJmvdOFyB0aVljFycs3IcytOzunfC5SxrwnM9hY4VZ4hDRVy3N/lnU+/c+nDNid1rmPRTqs9+GePwQrZP1AG2BiugMCxYw8Saq0G0daMYoThjHZsHQ6tn1GUDEYuEdtBTV2NChP727BlrvQKE07DMP4OHYxcSPAw4u12d5zJYFQnxprZedXxegBpRt9llK3uRE50dvOTaS8ubSNQu88IIESWZ/Uzg0r9cB6AQguMvKzTmq29VHmfNT4jk7oHPmZ7byPU3INrRpLXKkUzjVlV+TrVVi7B5jHFTDdEGWK70Croc9tm70kqMa3XQHlkDN/LcrkPp/R9wLi2FcmaUWWLHWxNk2jR81QoGE0Loog2X+8XNCo0UCCYeS3UpplLDnRIouOcbDPiQQhNaLk9wLXGxpJRQ7cP3QdhbT4LfA5GsRo307nfS0QFh9D652Y612jXt9mHtwqllL6RUvr5lNL/uVsggttIM0pJD/367HjpkkvPPsuRe+4hdjqNs3WyWOqaRa91u+YAbkloTi6BvdzVmlq9Gj7S2jjeqVKC+o2qWcuC18uNQ9QLsHZC3vzusJ8xJjS/vlkzSgHKCcezg9G6wIX183x57SU+cPeHOXvmA002t+emfOzE9/Lu9L18y+z7wSJ3VrvwcoRvrqkpznMgVo2RDd3UU+QDByqdXp0LjGoFI31YaGp6JethEwXVHGZgtKw5InXRipYS0zpbkuogmIlqKzAyk8d2NcaKeX2Pw1ol5TBD4+9qtMU+1EeUmW8HRoGsBblm1PhFTLpP1mgxARSB5Z7Ocz2phlAHGIxoun0KOWCkb5J6hKYnkVdYKO3dVz0Fq2SakYNRcjAKrT1h/pbU04X62pV/x53hvVqZJIFMM9MBhUn07UoAQ9HnbOVPK+2hQ9O8fC87GI28/E2LYTdgFCxAw+7lZrrgGkrI9QJj60y3KWL3DTRmOgw8PYJt2KWpslGj78/D5dtBlt6Hy6Pjku3dyVyiQdL7zj8Ir52yIAo7y6NgYCRZM/IABzGts1Hw25qRzfNW14xuhN7CUxunlPTfanc84fXiM89w7IEHAMbAqE3rEYKZbEpXrRnXjByMVk2a/dYEMHhoawhmQilyEttYB0vscDvTJkfUzNvGn5HxCskLwFKyTp4tcnv6msD55Wf5lyu/QTEqme8sNafMI8FeHZznD1c/j7NkKclRftEYd4tJDKs1EHh99fmmBli7b0u3C8MjUZ3po1ET3pzcjGWakVcnri00Ptphd80oxHxvB4uLJXT66hcDZdwd0UCTts9oWzDqahTVoK+CRpow06UI9QjSvCY6btVWBDIYeX+d2iRrv7ZJM4qRlRmggLVgYCS2dommSvpVY2J9WhIz42Y6zyebnzFt0wJBRuR5DdgMRiGBlGLvoFDNxpjzNJ/RSDRoRsK4c38Y2DbSsAA1C5rm1STsRl2jkbWLaEA1ZR9pGbN2ANlMFw0ImnqBxXg4d5vcLNn4h6KZN+0shUSTaOrvziuCD2o4N8NYjlBtk2r8rNIKYLBnDoZ6fjxYwd+ZB5aICVUORpjQ4pG3/q5iSzOKcghGN0Qi8gMi8pSIPCMiPzPl799tvdK/bP/+6l6Npa4tX6cYT3i99OyzHH3wQUAPxMiirNq0HKCo1CZduqrOdM1o1SS5l2fGzX3uuGzASEwaS1liwph9c1hiPpw1MC+qUXQnmEUH+NApuGuiNq4zgvWofgoEnnzpq3xj7Q+pO8q8X+8pw/zCyuf5l8u/SSUarxN7umaed7EeM+MpC6hEexSt1+sE0xzaYBQjhKWgeRIjlW1TlMY+7uaZAprDOCxN6o00LckJOanXzRyvFap5tn0D3TjhM4ItAxjAEl9nYW2gjfkutjRNL2eUKtUS2prFNBKyZOva0KjIzI0AMjPLA7138LbZB+nNHmdlVtdrIwAGRgMPYDBB4ardqy8ZEAM0dc0kqcn3uxfg9EkDQwejWrVM1zzcLOtg1KkhdXWhHlp4XP2Cfv8pPqOKDEYbbc0omMl0GzOduFkrZoGmshSERjNyMDfNSFIORW+KjEIT7OB+mG4A4tbBJQFylW3TjFwo9Ai2odXLawIYDIwuRPj1E/A5f74JOu0IOhdcHIwSanoVy6dyv2iyeQ9N+xzLnTPBxc2tTTcAyaY8jxrc2GKeN4tE5Fsi8lXjx1/c26eN056Z6UQkAn8brdZ6DviCiHx6ig3x36SUfnivxuFUm/O1EprSJeuXLrF+8eKYZuQtAk63vrscskOxMGkopXFp0M0BVws9NJfn4MIbcNIYS1szCtBUdfZ71UEPbaqU4U+aLUhabXA5wsLS9DluVTVZm5vpH//opT/kwtXEd3ffw5OL8LkB/FCA777vjxNPv53Y62iRb2uH4Qe0H+ygVFZw88gxAI4ef5AXY3akew05EeieLqlj5Ei1xPuOv5s/6s40kUOVtQ2Idvg95Dcm+900I6JJloUy2Cs9WK1gboJh9sI1mukKLcC6sgbfvAeePAZ/YU2Xyf1YVFAv6PvcquiqTVuZjTOmYLX9DBxEoJhb4AeP/adUS/Cpebg6p+91PdAU8GyardnPA7Ig0Je8dzCAojYn/oyZq4Iy1lGA4Ujn74EijbRt/ykD1GZqTS2fEZEmCbRNIzMfRRlvPd535rqNZiKmBXlVkYSC0Cjo/0m230M2S7sfqpCsmTSVyv0MBnVvSWQ8aXni+WNmuqjrFu2aoHuttlJU7jNKhbaxWB3CiwE+VOcAhrZpzgUl19qayhedcbNiU2cO3Q9B8vM9tHto7e6dr7hmVKTsWpiWerIH9D0ppTf35Ukt2kuf0fuBZ1JKzwGIyK8APwLs2qF1M6k223sdNJIKVCsCONbSjFKhSWtOI7F6bLZSETOjDDZrRimoHyjVUB2BZ0MuV+s+owaMzJTTRNMVNE5wRjlqalRnjWQxwIfugi07f01QRD87FAjWmfVPP/DnOL/RZbmrwHm1r0y86Mxw/J63U63ad4t8OOugh2BBVAoOBUgZzNGbGsBIwYpfGs0sBZ44+b28f3SGS6fv5RudfPBG3ZYlTayAZszmCA/dDXZgXTN6swv9BMcWxufajZqX4zb/dhSg0786CYvr8MRVBaPRDAyWYa2n+VujpOY+T1aOCYZHaFp2b0XOUPw91gHW52H1CVg5qUA2iolBPWC9GjJilmEZ6HdMM0pooV37mUL9MiMTUvpF1s58nw1MI2lrPF4NYGgh401LkhZYlOh3YgGjUSIJPLXyJe4P36UBDFOAyBQ2EEvubq3FhmQA32ptSjPTecv5Gqi6ulZDKy7s+92j6Tz9IoasQbimGxwwkr73RwN0F6c/3/eln7/K9mqjGYkFfvQNVByQCm1TUokGDTEywczW2ZNUfb8mW6MhCkZ0s2bk423Mp5K1nwRNtfFBzz7fAqONoIJGIfrepqWevFVomyN2w3QX8FLr93N2bZI+KCJfEZF/ISKP7tVgkmtGMftbLj7zDKBh3ZBLq6y2VsUTXl2bcg2AajMYEeFKhIUNNe+0/UYjMTOd6AH1zHkPZ23qZ0WVNN1PUqVWxFKkaU+wG4qQ21KbBz6tJ2JRNKWPhi1mlxq7GU2RVy9/MmiZ6YoI/VUN7X7j6rcIRTaHWDk7LpZw/ig8dM8HWZQ7uDK8RJXqxsThPiP3FfTn4NJZ2DieNaNalKEGLIIsacHaegSLE2DUEZUsh3XWjNpVu68U8I0efM5q2RQF1F0YjWBtxnoq1XnudVCJdM3AaKsKA5Dn7mDkzu2NRZP8Bdb6y3zytf+FX3rxf+fK6svUHdgoswnWa8gldM7rwaLsCqtJyLiZrm/A1W7wmIzpDzswHNAUSW0n0naAhwVOzENa7HHXox/nww9+glDC4hEot8gxStDkSrdzcPps708DBaNR1PH1RU3edSf7jNx83fiMQvZDjZnp2pqRUYxw7xycmcZZfF1MQACL2CSbwSXkd+BWAK/scMmqgiyXZkq357tJsTbNyINt2mBUzeTxtmvsDe38GzY2ZsdadA9WKQsY3pqklvFGhXtMCfiMiPyBiPzknj+tRXuJs9O2aJr4/UvAPSmlqyLyQ8CvAQ9NfskW5ScBOp0potsuyDWjUYAFm3WTY3T//UCO/Flrg5GZh4KFu3qIpSeuObnE2kfDTY904XyPJmXao+QaSdbUdJeokm3SFBlLZvRDIKOt7fJbkWPQQCCah/dfPfs7FIMHuCO8mxXTQIbRQKSmabnsDfIqOwwbQRmJh1SnmdLMGYUGGdgDPTn1qUX4/QRvW+jz1Mpn+DfrXyKkv0IKcxo2W+aDmlDGfPkszJbAGk1VZndMuwP49Q50VmB+fnyuTfCJeYzFX4rR8/PaP6jo6jsJAUJPIw1HpZrVvACoa0YBWJnX63FKuLOT2Nwbv4MJFoNggQIBUrfHo7Pvoz9X89rckvrsrChmSqqReN4ZRW4WWHd0D3pFiWDPGkzsJzdHDYOGKs8MdVGawpwxj/Wheajm4dy3oPORjzD3VV3rY/cB922eX22CigibEsP7rXe0FXU6sDGj+2ZD1Pfk4dGDTsssbcA5aO2zaOtZpeyT8WoRvk+3o2CT9mTrUcjr5qAz8GebCdnNdMsGRgMLavIAhraJL5K1eAejUYJX7qKJ+ivampFruPa71BoJOZjRd5ISTZh8tHV3c3YhNwxGxYQf6JMppU9OfOZDKaVXROQU8Dsi8s2U0u/e0FN3O7g9vPc54G2t388Cr7Q/kFJabv38myLyd0TkxKS90hbskwBzc3OTgLYrcp+RoMmrAJeeeYb5M2fozKk42EUP7ZUOeNLAWtQN1J3QjDzIwMnBaFTBbISFUpNAPRx5yDg6R1p2bPtuWWs76iDj0Wme9Fdcx0YsxCOZ9Olfe+MrnOoVnI7vZlkMjApzlNbKFAU9cCMzndWmXfUla1vy/ke560Ow/vg7uRLGHeugn7+a4Csbn+eN9S/xwfv/BJ/vdNXEEfU5jdRoYOfFT1M0zSgYk0KvrQOvR42gmtbiui41J6drYme72vhz1opgLuR3Usxr0VBfA2/i1phwSm1PMJRcIX0auWZUSTbTpaiMOlgYr/S6fPfSD7N2BD41o36ZtRldczEfg1cpEAcjgVAq8/f+TY0G6qK1v2dQn0zQdUhXgV72Q02aLB3UKhN+tvOvtUvYnAjwzAK8fkl/bkfqbUWdAM89BizouEv3ixVqrm2XORqlnKQrIWvFVcrap/TgzTuhO4A7djgTbrFoKoLH7LNxANqwn12QSGYVuOJg1MuJx5hPx6uxu1+naT4IvLEAv/0IPEb+DIGmUZ6bNROmJZXwyqNo8nPLOuG+MS8a+3gXTp3Zfr470Cil9L7tPpBSesX+/7qI/CrqbtkXMNphG90QfQF4SETuE5EO8Ang0+0PiMgdImp0EpH323h21YjpWsnBKKYcEnzpueea4AVQhtaNZiM2WrXcnlljfr65J522biYZ1WoC6gRVu/smbY9k3LzmZoLaNmljsjKJ3Jn7iJaT+DrAyCNyQghNlngZuwytAkFljL9hbq2Q77pVR6wfxpM/YylUTzxG3dMimw0Y23MHJnmeuPsd/Ikjn+DBhfdoNW67X9UGo6D9YyqsQGTI0mb0e4vWDtuooDsl2svXbs3u54EMoN97NcCwlyVkgDgP6z2dfxVyAVCPkGJGG7dRwexOmpExp6bpm0ncHjk1DInXh6/wyvoLMBxRFFqFPQmEIdDJwOFRU74eDkYeWeiRWW3zWLRx9wsDoxFNxe6azYKM0ArUaCYxnRrNKMCZAKMl+KIJME1B022oFBjOwMDC5BswKtW0Guq8D0aS/VA+r3bCqAcBnX8YLp/a+Uy0QRcTFhyMUiQHg4TsI43WfmQQTFCc0Qru/vwGjILuOzfLOhgNA6yV2synxqwponMbGh+I2D6szWQfaNpr+LtqfGPonLsBygnz9M0kEZkTkQX/Gfg+4Gt798Rx2jMwSimNgL8E/DbwJPBPU0pfF5GfEpGfso/9KPA1EfkK8HPAJ1JKafodb4zqpE7hUGct58qLL3LknnvGPrdQquPSaT2q9Npt9Q5yn8Qmn1FQO3/o6iYd9HKY+JBxMPIooeQbXlpgJNm8MEBNSdslXW5HhZl0/OGphiJ2WO0qcDaakaDRYy2fUTv5dBhyRBeYrb20gJAJ8xFYwqZAvPMEx8s7eaP/ClWqc822lpkOsdbRYsnGZsKpbd5+by83xJSq0u7vWxPzNRnzBnijC1cr6C0wlphbdmB9Ts17no/lcyeo3X+lYKxC+jTydzWCXI8u5ijIEGBYD/inb36ST7/699lYv8xsVIZVFxAGIN2WSa3Q9Us19AoFar/ua1Gncfwo7J0M7J5pqD4xL60zzZTmVQhE2BQt+Jun4Q8M9Ns+o1lgaV5b3PdF13InzajEWsvXphkJTSJsuwitm7LaScYBsxDUNHk8HoEZ2NlEGO3deGuXYcFYxKTXe/OIuypAaWA0StCtdR0vSPb7FibQuM+oKSNk469E99RybJnp7Gz4OjbniFaAw4Tg4Puq5vrP/zXSaeD3jB9/HviNlNJv7cuT2eMKDCml3wR+c+LaL7R+/nng5/dyDE51bc7T2iLFqorlc+c2gdF8oe29h7Xax9cixFEGo4Ls15kEI2+WFzrqKK5LrQt3jOwzaj5vzLpug1Gye4fNmtH1bsbSNvldpx/i7cf+Ar81+CWK0GG1Z9LmXAajNKEZVQVNK4RhHNeMxE1pQhNN1wajNTtgK0dqfmflU3yj/yxF/T+wfLyDzGq0oYf0CrDSBWqY7YGs0UTxeeBAChr9V5OrlY/NEwXydZOAsfFA7sM001HGPqxVcy0KBaNBR81k3g+pKOD4aQgL2iSvGGnC81Yk0PTCqcy8hknWVMpsqjI02fwSI7MdzW+qLWpPY7Pt72ami5X+vB6hl8ZBv507BFkYcs0IM/1tpRlh33f/VpvWIjxfwrkBvBfbny1T3t09+PoRePZqBsntqEB9hKvofm60aIum8zw1D3/2BF+bUhNJmQwMfK7uj9uOmvWyszkKNNFsnu82tEF6gdtypIAxSjBfq6n2UqkVwaUFnC4seUmgOum9PI9qxYN0TODqB5owe5NTGj5StcDICwA3Yx/tDLo3gyzy+Tv2/knTaR+meGtQVWuEUmni1dVXX6UejThy991jn5sRZVDLZm+6GiEOtX0E5IMUmMIMTALqFVlSX7a/e36BUxPAMKEZiUnVwa4NGM/Kvlbytsvdcpal4jiphhg6rHVtTFYTziuRpxYY1V4jLirDHrZ8D54nlYI6XN1M5GWN3A6/MS+8MHxWbe0ERjNw5Y9BfaIF6KJMNA60lXrTATfowXdgXrVD35nC/Dq2dusFEODSEfjsaWUoA2MCHcmMDRTUNmZVOpdervsloqVc0ru1T1A3sm0EY8M0pKUZmenTfYtDi1FXx3vQvKiemY1QH1Ly8Cp7H2Kt4z20Ooa8znUy7c8oogx2UND075Fe1ramhaZ7ku4kF3jTzKHrBsBtnxHAMVFT3dNuPtzJTIfuoWVnxlFNX42Zjrzf+yaANeHNjJvpQPdMagHWduTn1E1pIzPTuQCx0dM5pBYYFQ4QtXYOjjGHeZMUfN0k69GgTVIrBkalmvjbpuh+yJpRtDUl5ag5r7TiBYAbzSjtDxgdNN0GU1Sqom48j1Tx1hGbwAhTy+335aAHuR215BFnk90+3fHdK5U5pkJzlMA0o/bnW6YBj6Zz7apumWMGQbWW692MhYHGcv8SX1r9t6QaytBhdVYP+GwBK0u5RloTyWMMdVToPAYdiyp0E4KbKoJK3cHWw2tpNU7hUnJDM+MCFflge02xOmUNVGJLCg5ZAFgzv1J3Chg5kK8VgMCFo/B5gZes/UKoadovOBj1enDhndBfzBpIm9YKNS1N08Ta5Iy0lha4hFYlAUErmPvnQ9SSShbeLIUxuKRzllIFp1gpELrAUoS8zpOakdjf+6W+tzqa6c8Z3DQwii2fUYve7FoJIlsP9xk5t+gBsWPVO1rRX1uRWxOuBJqcp43TcO4dGsrv6Q7tQBYXvgI6l2EiVyexP+wGjNwM1rQID4wFMPStAoSDkUfKFgZeRUfPyBXTMt1M99JDGkTR1Fa0sQxrclv1MK4ZDaMJET72lAWyGjOVp6zFNi6BXZhC3wp0G0xRqTwGL79fw4dhezCqupoEmchg5OQHYVq1AxE1HZQdk5gsoi6hzGQSvGpX78ma0f0CRzt5I04ezmuliEppF5bP8+W1z1nNry5rsyp5z3Th9bfB6imoV5URAk2e0bDUcVCMg1G7JIszSSSHr3pL6WG0XBsgWjyuV0duIhJF790RO6ix5ZdrmaZWC2UG08AhoONYMzPdqNC1vUrOWylNWPAQ7iTw5j2QFnW+DkYJ7Rt1sdw5rNumnaPpDEQwZuY+ozpKyxkdKEUjyUYGRLHUz4rlFl0NKlEXQV9ilaxWmz2wnjKOQhSMvApE01hviyADF54mNZs3vb2G7T3XSNoC2WxhOV+yc5SnWwk8upSo87p0hwaQFJK1X2/D4hq4A/2Q1nrK7jUjMN9YoKn/KJLP4pqV7RoDq6AAkkRBd75QE7GHYscAq0dh5UQGrTrqOxlUGoXq5neSfkZEc/VcwwwGUNj9aqGpPBFbc/fP7GSOfCvQbTBFpRUsedU24eUXXgA2g1EPNZlctOz4QWIsv8e1l0k7u2DOdgMjNxtdLTLgtMEooAEO/VL9WUn084/MwX0P5EO4boxoJ+lzK4qoZnT61EN8/9KfVTAS9RnFkfpRVuegeBj6vQxGIgqmo5iBsarHzXReZ64MLTOdaXO12fj7Zc4pCq4ZSdaMvMxJVWdTaKMZ2XMcjNZKCKPNYd2+/l37DKYB1aJ+IK+fVpj/yxNz16JqPjPmp/McjuUCfuME/MYRc2JvE7xgQ8OrNo+iOcAl+wS8anPTvC5EBaOOJWGW+qI8uspLUrlWSNA90NaMmornLSqN4UlpzHrGfCRbVNX2vkDtGn4JeLXUNRuVml/jYctthrhYZrNSZwcu4vl7y6Yhh0LnstJVjbxTjJvp2mDk8x9IK5rNxrxbAc1zldz0S8yAtjZLEzbv1RdCyoJLtwNzUUtHraN/85BrqfPe9DM+qFTIqDEBNGXgcZ+RhCzAeDRdLTm/ys+67ytvPfNWp9tgikorqMRemJR75cUX6R09SndhPFayizKti2VOePXqC5CjlqbZyQvbyB3TjEJQadDLgkz6mC6fhNWTMFqj6d3j5Jt8w1T9nezyW1HETEehoJAOCeiEDiuFOuZnTHOZvQvm3gHcod8TATrm0EUZZF3TOKvdr1PHlpkuWNKlMc86KLP94Pt/gpMPfxApRYHHDq+bQ5xxR49YjJlBtv0kXgJnK7OZ16fzFgC1qLnQK1h0jOE4GF2191t2x8vc9KM2q3tR1HcytwMYCaipJqomOObXIYfuNuVsCA0YbXQU9L04axjByCpte+v4FHTti9jyTTYPzlTa2ger+lBbuLi0NNqxveFmuta+Wy5hOaH+plLB2AuEtm8xH1XbGdbTga5NfmaudmxNDIzWLJm0mGvt95gByy6pxmRmOlpmul1XIjHQ9WoGQvY7rc/SBBV4rlFAAbYOKqzNAYM5tZa0gy1cq/EK4gnNFRpaqaskavqe1IwIGWgEA0Z7d24G9Ll7AvftoBntaTTdrUSPAj96B/yelQ1ZfvHFTVoR6IufMxvxWqVMNbYiqZzRpCkHsGPagh/OTjA/xzA7Lp0Cmnsh90F/ZbPZwTdik/B4I5pRAZfXL8LoHD9+5i+zNrfEFdNoStF8qCEw/96JtZhVZ3KJahFtDa0BIyw3yJ9lzN6dwoMCOvfdTffdd7NqgoBXdXApV0yLisb0R0fg6qL67sYiyISmevo06kaNlkPMVEKryKgBH0H9IZDrv8mMroNrRq7ZhXkIl6C7g5nOGctoFt58l9Wbc20CAyaTjhMQYtQIM9OM6h5NORyptFbeqNbctmgv0c03Dm512syMSwPUYInLdE0rHG5jppNxzeiNjnaXnenAxjD7QBLj0vksaB7TuoL8duSlbJateGgRclWCQYK5mbyG3tzShR4HnpF93jVNwu61hRCzP8jNZPVxeOUBuOPNnM/lwpXY2ZCkUZQRDfNfvqoM07U493k2hU4DpFqFiZRUyGDdxpkMjEzrE5uva06eyNzuQu3P2a4Q7VuJboMpKkVgwTLfwXKMpoARaK7Rivl7RgIzLUk8kCWZSfqOCPcdzb/3ooJJoxm1Dq0z7s4J1Y6qYjxIwQ/nxk0AoxThyvolvrDyr1kZrdDvCeto8Ve356+nzd898gCcf7ylGdHyn7WYQyPFiuWJhBYYmZmuPadRy+Ti9vM65CoH0oFnH4OLp8c1o6rOAQ/TqBNo2gGMrJ7YRsxJlE2FcPu+J+Z2gzLUfhy//nCA9z4Ec1PqtbXJGUsVYO00VPPG8GzcboZpmH4QCqA/D9VpkHuygCNJywRVSdfBnf+h5fdpzEQT4yiDBZxYQjE9zZMqtzBtOgC2gxhWCxUmFq2Q6aDO0XRtYcl9q2HCjD2NIrAQ1RflwRSee8NQK7D7Gq6ZRtsOb3Zttgl6MbBPuzwTpWRzpFsgygDn3wEX7jJ/rX/GxnFcYNECauZsLfsmALSBxN9F5YBZqXCnFWJ1fVwzWulaAE5bM5K8/zfEzHStuWOgeAhGb2GalvDqtBBgdR5eC7p5ei0znaCgc2YKg5qPcFerYGMvms9HpmtGKSij7nwAXr93/GUE+/xG3DoaajfU+HsM6T578dd549iIfgW9GZpusKtTvjuKMJoxxmGM0E0I7jcTYazK8DCqdF6JSreDUs1FLuF5H6d2FXP3tc328tzdlOE+IxHzm2wBRKB+ukFPtbmh+Sc2ompCUfJauJnOM+zLaBUzwubr21VecPLxDWOOenO/jpth6gAPLryLuxbejkRpCniu3gvybnLrC6EJu+/08phjyuscpuwnyFrw7JICaOrCBdN+pzGzJsqs9TcPg+9ZSP86NH2E2sKSa0btjrtbkQCP9GBjTrUt9zESoOxrU0hnzis2915LgEkh14WTpPMRV8V3Qa4But9IggJM6mj9SNfuXXOVqLXL/tgj6v8tUAF1AGNJ2I3GEgyMTDMadE0LK2kqkouoP7NK2gixAbTWHDfELAUyPnffQ291um3MdG3qLy+zcfnylprREjCah6c20FyPidqsd3SB6V8do27QnigbibGkQciHcQikIzBY2EIzmigRcq2UzRy6my8M3+DN48KwhnnT4txhPkkeTdUJeqM6tCRWP9gtid0rLA8MQEO06C4DBvd3jAJNx0vxw10r823P3f8+phltsw4FFi4tNP2QNqL5UUJm7GOaEepA7wRrZpfy9e4u19yXzk1MpTQuhSbBchDge+74M1wq4N8KTVNBj+ALQcE/JFjt6PrMFFmzbXdTbff4aVNENaNiBuKPqrlwnel5WdAytU6AkVjPKmIO0U+MC0tdLOBEdqe1nxCYOwYbq9nHiGmlRZEBfa2jz59pVTxpzokJMDMC7xCY32VpHK9759qpBBVcuiVc7GYfkWtOPtG2OfhYCa/ELBx5gE1h8/AitWWlEYKdWrU8N0WHStew6MPsfJ6/yXQKRhNr3D4Hh5rRW5S2Cut2WgSYhQsFxKE6uK+HOqJS0nqdbdVOLvX0yeaBSZ+RSHb67hSxtBU5M6sKFbH+1In/nNfvjMR1axmAmemmMDcvrd/kWUk+oMkSNqsyA6UzSdcsuqZtpG42UblmNCJrSh7a62WamoPq3yFrA9sxPtfyqjABRoxLtF4loh+UyReFFZQ1h7r3FSp3Kar5eAfu74g0FZd9/CnC+f5LvLLxLZ0zuqZuGmz8kMESdyst6OvvLzBupvMQ5cn5V2UOXV+xAINiiwAML4lTTYBRO9hjA5pq2W1hSdCQZw9g2YkE+I45Zeq9Xp5Xt6UBiShD9+Tn9toOXYBBGfP9C3Dqjp2f256nh19jPpujpu14i/Nk2tG0YIGFqL49ae2jxucpNJU3XDPqVqYZ2XiDafal59KR36GQg23aoNNoRmn6mN5qdBtMcTPtBEYFcNTCTuM20Vs7UQf1Yayx2WfkG7rpZ8O4Kc4PZ19gbgUWFq9vDI2ZzjjXSBKvHYeZWkOWC4BivIeTk0eAde2ACpkhSg+e/CC8ebZlpjNzikcFdQqrz9bNYOsHr2ox03cEODuXD1xjBmkxW7fNx23ehftXWIDVIzr2Nfe5xZaUbc8ZBA1vj6V+d2SM3Me/Wz+dYO8qZjNPlJZmhDKrX3v57/GZc79ECuYIDzloovEZ2ZjjKJuIJiOqHBQmGVREGW4TLVha4d4tTI2hsMTNI/mad/PtRpq6bY3PaOJ5DxRwtKUZ70RHBN73IMzN53dRzOU19GoDxSi3lA82T+/SfD0My0PrvRakz+NIqe/Fm1l6gMM0898CGsTQ7rbbzpPzArx1UlNx1yIY3fQaBapKzY8NoEk201VRtb9J60hT7WWKsPhWo0Mw2oJOdtTkUcr1bwSvl3YlbNaM2v6LyXIr0JK2R3B0XqXJ6yFnUENDus+sfJr1EnrzeYzBpfEJcqDsGDC0negBjQZLnbw+bqbbEGVonWhl93s6l2CSZyXjVcyPF2AtpZp7T0YXevSV7ARGBQzugctP6OTXCgsGaJmC2mDUaEYoGPXrnJe02/5RW2lG2HVBmeHjJz7GO098eKzIp4ORh3YTtOxRHOZILjEG2l7nZODcJtc2PBhlpVAtcG4LzT4Ar90PGx/N17ztRadtppPNmhHA6QCPP3Z9UnsX3Zfuk/M1HFlyss+1bdqtrv0xem/J5si6JeTModqOt2dJJnxNc17MA8Gqg/j+FHKenJs66wT9rgqiwbSxNviUNl8HX9eMRi2hqRk3GcxuB7otfUaXX3iBUJYsnNm6OchR0aiocm3Lj+xIHVRVdzBqJyn6RvMyQdPMIFFgbggn77v+MTgDruzhl1hmowNLJg172O2aSYht8lIyZbAoOhkPOyWMz8l7MA0CmpxaWAFWi3Dz9hgVm6uYT46ZCZOFNwncTkt1zWhdFOSl0GjEGQcIe+aYma7KYJQK9bEMAoTh1iHk08YrZOc/RTalBft7XcDjp76HywG+aPNq5zaJ6NoRYMU0pxizOa+dStAUq50AAc9J2rC/rxSoz3MLQSagTHRd4PUunOrrz0FyPbWNCHNCTt68SXQaeO8cHJ3NY3G/YPsdNwKEbK5isltqB2okyedsDqhnINbWqsPWeGraBvCxWajusoK6bimwe1URSBacYxVU3NQJ+s76AWbm87w8V8qnNA2MplVUf6vSbQlGyy++yOLZs8g2XsEjwEwv27SvhzooE1qObMoYb0xGpsJPOikFeHeAwXF1eF4vuWQ9tJhsby7mub4Bq05esAmMvIpwGU0ab0VOCWZCaIMReig3jMl3CgttL5QRSGG285Z5Yhq1D6qTdwLdyhkPNA3mVgrzDQQrC2QmN1/zQQQqHWe0dffw9TWyZrfboBGXcodFjnxsBIuWZvTUype5QkWK70UYb+HtYJSiglHppk/YlGTtIepbaUYb9vtKCXFjezBKAZ5c0ircP/FSblfiZsR+sJywm1wFIACnl8Z/9+m0k8zb2mwtm6a862e1E6EdzOdATcjSMtNJBpBJmu0AHfXzumbkqQaeGEzSMy8B7gywZv47jxhdMPBtNCOy8FXV45q/X7+uSX8b0m0JRtvlGDkVwMeOqHZ0vdRFN9dlK8bYDkt2hjsIVpNtiuR5RxeYHn2+a3JtYGgn0FtCdFoMai5q5j0b8NunYWEDvuuKmdIMgLomcTfhxUA7yMCvjQptmxEsqqy2kkJ1sKgpsTyjsHm+Y2sj42DkJV2mFUl1ci1itVTgTEE1omqkYNSWskHbXPg7ca1qTQykrkEiFbuv5ycVoaUZBdNAIvzu+V+jD7w9vBdQ86drRm6mG/Q0EbRsrfMMm7XqaWjesTm8aWY5b39RTkSDtu+TgnY0vTKC87W+4yJk4O7HLDzspYQuZAtBO+DCzXRNF9zrYMz+LtZ75J5Z5JDtOup6e0Hf7UzBMG6m83dfGZqmWvdpGeCRDlSP2rNEOwbMzE3cQzIwtZN9/TOyndT2FqPbZJrjtBswApOYb0Az6qKmlsvd6T4jl/i8NM5ehG+6ZF0ePUEvzHJq6SGN5mpt+vlCnd0bwHMd+K0O/EEnFxgNER6KcGc3MwNnZG2zwhGgP6P5WYVJoKMIaR6uLmm4fECvDdjsg3Dye7fXqzRg3MlMJ0Hn4q2aU7QqEjEzPGdsbXAtUKa0QTZV7ZacX6x1gNrClWX8716ksx1K3Qk6lq8uwL86pnNem7ESVC0/z4d78PDb8u8OFJPgsAgc68HnTyioXjHw3skcumq16C6F3L4h2lp5zth+FOsMph3OtObu2scIM9Nd532TwOqsarzd1v3fUcKJbtY2J8tyTb2f/ce1OfcZpQDUWTOC7GN9Z4B7j2TBoNGMJL+HaWB0O2lGtx0Y1aMRyy+/vGXC680kQaWwtTjdZ+TSdLsawc0mB71RGSlDB5mZbZyuTjNBa3S9LtCvYDALv74EF1tgdDzAww+Nj3/S9HgSqJfgSkVTOaEqtHDkS+/VBM8oJm1vk7nfHPY2eNvhn1ZJoD3XINZBNVmBzpCLjAoWwm1r3gZEL+a5GnPy4bVQEAWRxWU4djxH/zmzcX8F9hxQ6XlYwguz8JWkGuPqnJVdatdDDNms2qzPFKYpwGNzsHwc/vHSzu0vfJ2vFLoel1tOdLHnNvuTm+szmjoee05vIuDCk6l9HNdKDjSrs+rLbKdqnIzwjrfbfnZz+g72IoHGGeh7amTI5D2tJm1OcwHuaQkUbe2/0YwYNw0fakZvcVp75RVSVe1KM7oZNFtMz2BvzA+2gdkjzcgly7XROlfqy1ypLhImGFQPqHrwooU2313C1ZPwZGQs2bJNzsja4eolcOec9uLxJNO60PBgDw0OkkscbQdGXsXc6SSw1GpyuNVc3f+VsDYABnyND0Ys/Fwsyi7mNQhRkyAnQ2x3Q0E0HPvYXQoAjXYn2Wfkkndtc4hoBN/rURvZDQKsz6gW0N3CtNasT5iu8SwC9x+Fl0pYXRvXMqbeR1QbrIKak9trUppmVMOe7c/J8cR6XHOB/M4mK99fy31d64yj6XvIwQh2BqM2kEArn840u1p2Xith3EyXZHM+YQNGu/RdfrvTbeczurqLsO6bSXMRLgnU9eYcgiZKaA81I1DJbb3eoCewPLzE/EQpox5asuelno7nRAlvzMPVi9DbDowmAAPgbSW8sgjhUjYnrYWsGQa0q2unRp0hU6gButZ63AGcfnRnZtQJGjTRSwpMCWACjIaSw7CbqgZo9NMFa8d+rRUv7jWAO3XX5jkEgJgTI+nkZw46cHmg7TuYz3XpZnYBRlsxvEdm4IGHNK+ls4v7jGqNJLzcNVORjy/svebeJi8AO9myw6ueB65PO4soSIxC7pk17TPE3ZvpvHwTqPWjb5GQtbVL2akVu+8Pr8JA2KwZRWAp6V6+HegQjPaYugKUUK9NAaNg+RN22PdK8iwCML9IHeDuO9/PhYkE2h5Qd+HVHsgQZmbhbA+eiTBTTdcSZoHFpCVr2nQMODsPC/1WqHXImmEIuYbbVhUOXGKf1Nt3IxWXQQvcdpLOKxUqbbuPzAtiNpW5274zKw8zdw2JnE73d4B3jc/B7f1uhnnsz/0VLvc1Nwvy+vSt7cDaI7B+p/o1tgORSE6G3HIdrI3JduRMsDI/x7K1PneNtSOtKLZ90IxOilbKn1z7KOTuwDegGW1XViuQ/XrXqhn1grV7J/cymuw1NUmTmpHvlTKOf+Y756B6cIcJvkXotgOj1X0Gox6aa0Q1LnG59u2a0V6aQUqBgYw4Vi5Bb5YwESE4gx7AjQjlhhZQPRngm0cgLE+XFEvgI0toIb8WCfDuI8AReB1lAg5GXhQV2LJ9OLSY7XWYJ7oBllHG0zMzXWiBTgzjDQDbkVPzEV7pqCS6U0TVTtQwrJDBtV6aQ9az1OxgNKjVXLca9B3Evia8bndvr9Zwo2NMohpU6sHKBsxKFhJKe3cjAe+wupf0SAnVuzZfdz9fwXVG00HTCHIrn6Ov6W7BqK0ZdQTWrT3GqDuey7TdPVwLc2Bqt49wEtneT/pWoj2WdW49WnnhBWaOH6ezU1+Am0RdVHWf1pPEGaPX3NqrTOsiwMbRLt/3xE8z9+j7NmkzES3/0q9VoyhLLX8yN8e2ZfolTAeq9n1TgDdmoNtXW31Epe+arcFoCXhnhBPXUQLJk3OrpEyCaIEPLT/IUDRIoZLxqMKZoILDoNrZzLIT+dzbmtHIAlkwoPG8qAqQnjb7uxrVyb6Tea3eQTPaDY2ZhzqWsEmWzougofqDlDX5vaZpGmlh5yRx/WC0sag14+I2Ye5XT8L63M6CSKP12nqUaKPESrJmtFOV/bY25PeL9bWbh99KdNuB0eouw7pvFnVRf4yw+TC7ZjSUvQWjMqif5ksfg8vHNjuIQcO7R+SkUgE+NAMPnL3+50ZU2lwVBaPZOZujoJUPtjj0Aty/BEtHr/2ZXoWgSmo+aWrqtTSjOmguUc14Yzj3nQ3rcXPJ9VCbYfnPlfskWppRXUBvCLGnkXxXgoWxb3MyF4E5CyG/GWNMARbNzFSR16RAC6/2Odjo4kbzSNc3jgC8+B544REIWxWNBVbuhKeeYFOAz7T7CVkz8mLDw8Ia67EzGLkg4PsTMYH1EIx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      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "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": 332,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0.0, 30.086390567230666)"
      ]
     },
     "execution_count": 332,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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   "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))"
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   "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."
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