{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": []
   },
   "source": [
    "# An Introduction to Multistep Methods"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**References:**\n",
    "\n",
    "- Section 6.7 *Multistep Methods* of {cite}`Sauer`.\n",
    "- Section 5.6 *Multistep Methods* of {cite}`Burden-Faires`."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Introduction\n",
    "\n",
    "When approximating derivatives we saw that there is a distinct advantage in accuracy to using the centered difference approximation\n",
    "\n",
    "$$\\frac{df}{dt}(t) \\approx \\delta_h f(t) := \\frac{f(t+h) - f(t-h)}{2h}$$\n",
    "\n",
    "(with error $O(h^2)$) over the forward difference approximation\n",
    "\n",
    "$$\\frac{df}{dt}(t) \\approx \\Delta_h f(t) := \\frac{f(t+h) - f(t)}{h}$$\n",
    "\n",
    "(which has error $O(h)$).\n",
    "\n",
    "However Euler's method used the latter, and all ODE methods seen so far avoid using values at \"previous\" times like $t-h$.\n",
    "There is a reason for this, as using data from previous times introduces some complications, but sometimes those are worth overcoming, so let us look into this.\n",
    "\n",
    "In this section, we look at one simple multi-step method, based on the above centered-difference derivative approximation.\n",
    "\n",
    "Future sections will look at higher order methods such as the Adams-Bashforth and Adams-Moulton methods."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The Leapfrog method\n",
    "\n",
    "Inserting the above centered difference approximation of the derivative into the ODE $du/dt = f(t, u)$ gives\n",
    "\n",
    "$$\\frac{u(t+h) - u(t-h)}{h} \\approx f(t, u(t))$$\n",
    "\n",
    "which leads to the **leapfrog method**\n",
    "\n",
    "$$\\frac{U_{i+1} - U_{i-1}}{2h} = f(t_i, U_i)$$\n",
    "\n",
    "or\n",
    "\n",
    "$$U_{i+1} = U_{i-1} + 2 h f(t_i, U_i)$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This is the first example of a\n",
    "\n",
    "```{prf:definition} Multistep Method\n",
    ":label: multistep-method\n",
    "\n",
    "A **multistep method** for numerical solution of an ODE IVP $du/dt = f(t, u)$, $u(t_0) = u_0$ is one of the form\n",
    "\n",
    "$$ U_{i+1} = \\phi(U_i, \\dots U_{i-s+1}, h), \\quad s > 1 $$\n",
    "\n",
    "so that the new approximate value of $u(t)$ depends on approximate values at multiple previous times.\n",
    "\n",
    "More specifically, this is called an $s$-step method.\n",
    "```\n",
    "\n",
    "This jargon is consistent with all methods seen in earlier sections being called *one-step methods*.\n",
    "For example, Euler's method can be written as\n",
    "\n",
    "$$ U_{i+1} = \\phi_E(U_i, h) := U_i + h f(t_i, U_i) $$\n",
    "\n",
    "and the explicit midpoint method can be written as the one-liner\n",
    "\n",
    "$$ U_{i+1} = \\phi_{EMP}(U_i, h) := U_i + h f(t_i+h/2, U_i + h f(t_i, U_i)/2) h $$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The leapfrog method already illustrates two of the complications that arise with multistep methods:\n",
    "\n",
    "- The initial data $u(a) = u_0$ gives $U_0$, but then the above formula gives $U_1$ in terms of $U_0$ and the non-existent value $U_{-1}$; a different method is needed to get $U_1$.\n",
    "More generally, with an $s$-step methods, one needs to compute the first $s-1$ steps, up to $U_{s-1}$, by some other method.\n",
    "\n",
    "- leapfrog needs a constant step size $h$; the strategy of error estimation and error control using variable step size is still possible with some multistep methods, but that is distinctly more complicated than we have seen with one-step methods, and is not addressed in these notes.\n",
    "\n",
    "Fortunately, many differential equations can be handled well by choosing a suitable fixed step size $h$.\n",
    "Thus, in these notes we work only with equal step sizes, so that our times are $t_i = a + i h$ and we aim for approximations\n",
    "$U_i \\approx u(a + ih)$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Second order accuracy of the leapfrog method\n",
    "\n",
    "Using the fact that the centered difference approximation is second order accurate,\n",
    "one can verify that\n",
    "\n",
    "$$\\frac{u(t_{i+1}) - u(t_{i-1})}{2h} - f(t, u(t_i)) = O(h^2)$$\n",
    "\n",
    "(Alternatively one can get this by inserting quadratic Taylor polynomials centered at $t_i$, and their error terms.)\n",
    "\n",
    "The definition of local trunctation error needs to be extended slightly:\n",
    "it is the error $U_{i+1} - u(t_{i+1})$ when one starts with exact values for all previous steps;\n",
    "that is, assuming $U_j = u(t_j)$ for all $j\\leq i$.\n",
    "\n",
    "The above results then shows that the local truncation error in each step is $U_{i+1} - u(t_{i+1}) = O(h^3)$,\n",
    "so that the \"local truncation error per unit time\" is\n",
    "\n",
    "$$\\frac{U_{i+1} - u(t_{i+1})}{h} = O(h^2)$$.\n",
    "\n",
    "A theorem in the section on {doc}`ODE-IVP-3-error-results-one-step-methods`\n",
    "says that when a one-step methods has local truncation error per unit time of $O(h^p)$ it also has global truncation error of the same order.\n",
    "The situation is a bit more complicated with multi-step methods, but loosely:\n",
    "\n",
    "**if** the errors in a multistep method has local truncation $O(h^p)$ **and** it converges\n",
    "(i.e. the global error goes to zero at $h \\to 0$) then it does so at the expected rate of $O(h^p)$.\n",
    "\n",
    "But multi-step methods can fail to converge, even if the local truncation error is of high order!\n",
    "This is dealt with via the concept of **stability**; not considered here, but addressed in both references above, and a topic for future expansion of these notes.\n",
    "\n",
    "In particular, when the leapfrog method converges it is second order accurate, just like the centered difference approximation of $du/dt$ that it is built upon."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": []
   },
   "source": [
    "## The speed advantage of multi-step methods like the leapfrog method\n",
    "\n",
    "This second order accuracy illustrates a major potential advantage of multi-step methods:\n",
    "whereas any one-step Runge-Kutta method that is second order accurate (such as the explicit trapezoid or explicit midpoint methods) require at least two evaluations of $f(t, u)$ for each time step, the leapfrog methods requires only one.\n",
    "\n",
    "More generally, for every $s$, there are $s$-step methods with errors $O(h^s)$ that require only one evaluation of $f(t, u)$ per time step — for example, the Adams-Bashforth methods, as seen at\n",
    "\n",
    "- Section {doc}`ODE-IVP-7-multi-step-methods-Adams-Bashforth`\n",
    "- https://en.wikipedia.org/wiki/Linear_multistep_method#Adams-Bashforth_methods\n",
    "- https://en.m.wikiversity.org/wiki/Adams-Bashforth_and_Adams-Moulton_methods\n",
    "- {cite}`Sauer` Section 6.7.1  and 6.7.2\n",
    "- {cite}`Burden-Faires` Section 5.6\n",
    "\n",
    "In comparison, any *explicit* one-step method order $p$ require at least $p$ evaluations of $f(t, u)$ per time step.\n",
    "\n",
    "(See the {doc}`ODE-IVP-8-implicit-methods-Adams-Moulton` for the distinction between explicit and implicit methods.)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "using PyPlot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Main.NumericalMethods"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "include(\"NumericalMethods.jl\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "import .NumericalMethods as NM"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "function leapfrog(f, a, b, U_0, U_1, n)\n",
    "    n_unknowns = length(U_0)\n",
    "    t = range(a, b, n+1)\n",
    "    u = zeros(n+1, n_unknowns)\n",
    "    u[1,:] = U_0\n",
    "    u[2,:] = U_1\n",
    "    h = (b-a)/n\n",
    "    for i in 2:n\n",
    "        u[i+1,:] = u[i-1,:] + 2*h*f(t[i], u[i,:])\n",
    "    end\n",
    "    return (t, u)\n",
    "end;"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Demo with the mass-spring system\n",
    "\n",
    "As seen in the section {doc}`ODE-IVP-4-system-higher-order-equations`\n",
    "\n",
    "the damped mass-spring equation is\n",
    "\n",
    "$$\n",
    "\\begin{split}\n",
    "M \\frac{d^2 y}{d t^2} &= -K y - D \\frac{d y}{d t}\n",
    "\\\\\n",
    "& \\text{with initial conditions}\n",
    "\\\\\n",
    "y(a) &= y_0\n",
    "\\\\\n",
    "\\left. \\frac{dy}{dt} \\right|_{t=a} &= v_0\n",
    "\\end{split}\n",
    "$$\n",
    "\n",
    "with first-order system form\n",
    "\n",
    "$$\n",
    "\\begin{split}\n",
    "\\frac{d u_0}{d t} &= u_1\n",
    "\\\\\n",
    "\\frac{d u_1}{d t} &= -\\frac{K}{M} u_0 - \\frac{D}{M} u_1\n",
    "\\\\\n",
    "&\\text{with initial conditions}\n",
    "\\\\\n",
    "u_0(a) &= y_0\n",
    "\\\\\n",
    "u_1(a) &= v_0\n",
    "\\end{split}\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The right-hand side $f$ is given by"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "f_mass_spring(t, u) = [ u[2], -(K/M)*u[1] - (D/M)*u[2] ];"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "and the solutions seen in that section are given by function `y_mass_spring`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "function y_mass_spring(t; t_0, u_0, K, M, D)\n",
    "    (y_0, v_0) = u_0\n",
    "    discriminant = D^2 - 4K*M\n",
    "    if discriminant < 0  # underdamped\n",
    "        omega = sqrt(4K*M - D^2)/(2M)\n",
    "        A = y_0\n",
    "        B = (v_0 + y_0*D/(2M))/omega\n",
    "        return exp(-D/(2M)*(t-t_0)) * ( A*cos(omega*(t-t_0)) + B*sin(omega*(t-t_0)))\n",
    "    elseif discriminant > 0  # overdamped\n",
    "        Delta = sqrt(discriminant)\n",
    "        lambda_plus = (-D + Delta)/(2M)\n",
    "        lambda_minus = (-D - Delta)/(2M)\n",
    "        A = M*(v_0 - lambda_minus * y_0)/Delta\n",
    "        B = y_0 - A\n",
    "        return A*exp(lambda_plus*(t-t_0)) + B*exp(lambda_minus*(t-t_0))\n",
    "    else\n",
    "        lambda = -D/(2M)\n",
    "        A = y_0\n",
    "        B = v_0 - A * lambda\n",
    "        return (A + B*t)*exp(lambda*(t-t_0))\n",
    "    end\n",
    "end;"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "which alternatively could be imported from module `NumericalMethods`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "Figure(PyObject <Figure size 1000x400 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 1000x400 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 600x600 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "M = 1.0\n",
    "K = 1.0\n",
    "D = 0.0\n",
    "U_0 = [1.0, 0.0]\n",
    "a = 0.0\n",
    "periods = 4\n",
    "b = 2pi * periods\n",
    "\n",
    "# Note: In the notes on systems, the second order methods were tested with 50 steps per period\n",
    "#stepsperperiod = 50  # As for the second order accurate explicit trapezoid and midpoint methods\n",
    "stepsperperiod = 100  # Equal cost per unit time as for the explicit trapezoid and midpoint and Runge-Kutta methods\n",
    "\n",
    "n = Int(stepsperperiod * periods)\n",
    "\n",
    "# We need U_1, and get it with the Runge-Kutta method;\n",
    "# this is overkill for accuracy, but since only one step is needed, the time cost is negligible.\n",
    "h = (b-a)/n\n",
    "(t_1step, U_1step) = NM.rungekutta_system(f_mass_spring, a, a+h, U_0, 1)\n",
    "U_1 = U_1step[end,:]\n",
    "(t, U) = leapfrog(f_mass_spring, a, b, U_0, U_1, n)\n",
    "\n",
    "Y = U[:,1]\n",
    "DY = U[:,2]\n",
    "y = y_mass_spring.(t; t_0=a, u_0=U_0, K=K, M=M, D=D)  # Exact solution\n",
    "\n",
    "figure(figsize=[10,3])\n",
    "title(\"y for K/M=$(K/M), D=$D by leapfrog with $periods periods, $stepsperperiod steps per period\")\n",
    "plot(t, Y, label=\"y computed\")\n",
    "plot(t, y, label=\"exact solution\")\n",
    "legend()\n",
    "xlabel(\"t\")\n",
    "grid(true)\n",
    "\n",
    "figure(figsize=[10,3])\n",
    "title(\"Error in Y\")\n",
    "plot(t, y-Y)\n",
    "xlabel(\"t\")\n",
    "grid(true)\n",
    "\n",
    "figure(figsize=[5,5])  # Make axes equal length; orbits should be circular or \"circular spirals\"\n",
    "title(\"The orbits\")\n",
    "plot(Y, DY)\n",
    "xlabel(\"y\")\n",
    "plot(Y[1], DY[1], \"g*\", label=\"start\")\n",
    "plot(Y[end], DY[end], \"r*\", label=\"end\")\n",
    "legend()\n",
    "grid(true)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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A3nvvPUKIVKo1duxYctZZZ+WdN2/ePHLIIYcMWh7St2zv6aefJgDI0qVL885bt24dAUDuv//+gp8jiiLhOI68/fbbBADZuHFjyd9F4dO33Enx60MOOYRkMhn1uCAIZOjQoWTy5Ml5JWvRaJQ0NTXllbwed9xxZMSIESSdTuedV19fX7S8LRfDhw8nl19+OSGEkHQ6TXw+H/nlL39JAJBdu3ap34dhGBKLxdTr+j5Lg5XtASAffPBB3vFJkyYV9KWBMFDZ3ty5cwkAEgqFyC9+8Qvy5ptvkgcffJDU19eTQw89dNByuZtvvpkAINdff33e8b/97W8EAHnyyScJIYTs3r2bOJ1O8p//+Z9550WjUdLc3EzOP/989ZjiI48++mi/+/UtRXrttdcIAPL73/8+77xnnnmGACAPPfQQIYSQzZs3D8gzt2zviCOOIGefffaA37sU/OpXvyL3338/efPNN8krr7xCfvaznxGn00lOPvnkPF+tdJzx+/3kuuuuG/CcYmV7pTzro0aNIhRFkQ0bNuSdO3v2bBIMBlWf+da3vkWOOuqoAfkUgjJ2H3300Xlj1s6dOwnDMOTKK69Uj02YMIFMnTo1752p3LulpUW1b6nvbqM5KL9T3kU9PT3E4/GQ+fPn5523e/duwrIsueiiiwgh2XGvGE+7bM/asDNPNgzDhRdeqDYhUPDnP/8ZjY2NebPwWhGPx/HBBx/g3HPPzeto5nA4cPHFF2Pv3r15pXIACmaGBsLcuXPBsiwWLFhQsJRFwdKlS3HWWWf1y1Ao+MEPfoADBw5g+fLl+Nvf/gaXy9WvFEzB0KFDsW7dOk3/jjnmmJK+z2AYqPynkpLAgUD6ZM+OOeYYzd9/6NChg35+pd+pGjbp2xBDaTShlKzRNI2f/exnePnll7F7924A0oz3a6+9hquvvrpk27/88ssIhUI488wz8zJ1Rx11FJqbm7F69Wr13O3bt+Oiiy5Cc3MzHA4HGIZRm4MUKjMZ7LsMhm9/+9t5M7Zffvkl9u/fj4svvjivZM3v9+O73/0u3n//fSQSCcTjcXz00Uc4++yz4XK58s4rlCUrhFmzZqmlUGvWrEEikcCCBQvQ0NCgZp9WrVqllqeVi+bmZhx//PF5x6ZMmVLV7pJKCeAFF1yAu+66CzNnzsSPf/xjPPLII/j666/x1FNPafqcvn/P888/H06nU/17vv766+B5HpdcckmeL7ndbpxyyil5vqRAyzirzK737ZZ33nnnwefzqRlChUcxnrk4/vjjsXz5ctx4441YvXp1v6xLqbj99tvxk5/8BDNnzsT8+fPx5z//GXfeeSfeeecdvPjii3nnVjJOHH/88ViyZAluv/12vP/++3lZv8FQyrMOAIcffjiOPPLIvGMXXXQRIpEIPvnkE5XPxo0bcfXVV+P1118vuanRRRddlPedR40ahRkzZqh/y6+//hpbtmxR/6a5vOfPn4/W1taK391mcVi7di2SyWQ/vx4xYgROO+001a+Vca8YTxvWhi2ebBgGlmXx4x//GE899RTC4TA6Ojrwj3/8A1deeSVYli3583p6ekAIKdjlRgmq+5ZrlNoR5/TTT8eyZcuwdetWzJw5M2+9hIK2tjb861//GnBgHTVqFGbNmoVHH30Ujz76KL73ve/B6/UWPNflcuGoo47S9K+abbDr6+sLlrd0d3cDgG4d03bv3p0ngvx+v+bvnxtEF0Kx7xSPx5HJZAb9TtWwidPpRH19fd4xpbwn97Mvv/xyeDwePPjggwCkkjCPx4PLL7980Hv0xYEDBxAOh+FyucAwTN6/trY2dHZ2ApDasJ900kn44IMPcPvtt2P16tVYt26dWibbN/jU+l0GQt9nULmu2HMsiiJ6enrU533IkCH9zit0rBBOP/107N69G1u3bsWqVaswdepUNDU14bTTTsOqVauQTCaxZs2aoiV7WtHXRoA0/lUazBe6x9y5c/OOz507FxRFqYHwYOhbaqb8jZW/y4EDBwBIJbZ9femZZ55RfUmB1+tFMBgc9L5dXV1wOp1obGzMO05RFJqbm9X7K/8txjMX9957L375y1/ihRdewMyZM1FXV4ezzz47r1SqUnz/+98HALz//vvqsUrHmWeeeQaXXnopHn74YUyfPh11dXW45JJL0NbWNigfrc+6gr52zD2mfIeFCxfi7rvvxvvvv4958+ahvr4es2bNwkcffTQon4Hu0denbrjhhn6clTb7fXmX+u42i8Ng49lgfl3smA1rwW5VbsNQ/OQnP8Gdd96JRx99FKlUCjzP46qrrirrs2pra0HTNFpbW/v9Tqn5b2hoyDteTvZk3rx5ePHFF3H22Wdj5syZePPNN/OCtWXLlsHn82H27NkDfs7ll1+O73//+xBFEQ888EDR83bu3IkxY8Zo4vbWW29VbX+fyZMn47PPPut3XDlWyd41xfDhhx+ira0tr43722+/jZkzZ2q6fseOHQO2ip48eTL+/ve/o62tLe+FpPU7TZ48GU8//TR4ns+b5S7FJjzPo6urKy/QU4Ki3GM1NTVqAHXDDTfgsccew0UXXVSwLfJgaGhoQH19fdGF6oFAAIA0+79//36sXr06rxV9sbUNWr/LQOj7DCrXFXuOaZpGbW0tCCGgKEoNenKhJcgEoDYvWLVqFVauXKk+s7NmzcKvf/1rvPPOO0in0xWLJyMwZcqUAfcb09p4oq2tDcOGDVN/7vs3VsbQ5557DqNGjRr087SOsfX19eB5Hh0dHXkCihCCtrY2dQ2swqMYz1z4fD4sWrQIixYtUjP9N954I84880xs2bJFEy+tyLVvpeNMQ0MDFi9ejMWLF2P37t146aWXcOONN6K9vX3QZhNan3UFhZ6Vvs+w0+nEggULsGDBAoTDYaxatQo33XQT5s6diz179hSd+BvsHn19auHChfjOd75T8DP6bkVS6rvbLA6DjWfKfXP9Wgt3G9aCnXmyYShaWlpw3nnn4f7778eDDz6IM888EyNHjizrs3w+H0444QQ8//zzeTO6oijiySefxPDhw3HYYYdVhffcuXPx4osvYvv27Zg5c2be4LZ06VJ861vfGjR7ds455+Ccc87B5ZdfjmnTphU9z6yyvXPOOQdbtmzJ6yDH8zyefPJJnHDCCZpK5EpBd3c3rrrqKjAMg+uvv149Xs2yvbPOOgsURfVrKLBkyRJ4PJ6Cm13m4pxzzkEsFsPSpUvzjj/++OMYOnQoTjjhBE3fte8+MUpJVV/he80116CzsxPnnnsuwuEwfvazn2n6/L741re+ha6uLgiCgGOPPbbfPyUoUIKBvr77l7/8peLvohXjx4/HsGHD8NRTT+WVcMbjcSxdulTtwOfz+XDsscfihRdeQCaTUc+LxWJ4+eWXNd2rpaUFkyZNwtKlS/Hxxx+r4mn27Nno6OjAH//4RwSDwaLNaxQo9qpmJqlUnHPOOaAoCsuXL887vnz5chBCBhxjctH37/mPf/wDPM+rf8+5c+fC6XRi27ZtBX3p2GOPLYu/ImT7NtFYunQp4vG4+nuFRzGexTBkyBBcdtlluPDCC/Hll1/mdbesBMpYkmvfSseZXIwcORI/+9nPMHv27LzsYbHMpdZnXcHnn3+OjRs35h176qmnEAgE8hq7KAiFQjj33HPx05/+FN3d3Zo2g3366afznuVdu3ZhzZo16t9y/PjxGDduHDZu3FjUp/qKvlJhFofp06fD4/H08+u9e/fizTffVP16/PjxaGlpKcrThrVhZ55sGI5rr71WDTofe+yxij7rjjvuwOzZszFz5kzccMMNcLlcuP/++7Fp0yY8/fTTVV2nM2fOHLz00ks466yz1AyUy+XC22+/PeAMsAK3243nnntu0PNcLlfZAcny5csRj8cRjUYBSJt5KvecP3++OmN4xRVX4PHHH8e2bdvU2eTLL78c9913H8477zzceeedaGpqwv33348vv/xSXSei4JZbbsGiRYs0Z762bt2K999/H6IoqpvkPvLII4hEIvjrX/+Kww8/XD03EAiU/f374vDDD8cVV1yBm2++GQ6HA8cddxxWrFiBhx56CLfffnteOc2tt96KW2+9FW+88YaahZk3bx5mz56Nn/zkJ4hEIjj00EPx9NNP47XXXsOTTz4Jh8MxKAeXy4U//OEPiMViOO6447BmzRrcfvvtmDdvHr7xjW/knXvYYYfhm9/8JpYvX45vfOMb/dYmaMX3vvc9/O1vf8P8+fNx7bXX4vjjjwfDMNi7dy/eeustnHXWWTjnnHMwY8YM1NbW4qqrrsLNN98MhmHwt7/9rV9wVc530QqapvH73/8e//Ef/4Fvfetb+PGPf4x0Oo3//u//Rjgcxp133qmee+utt+KMM87A3Llzce2110IQBPz3f/83/H6/Wko5GGbNmoU///nP8Hg8OPHEEwEAY8aMwZgxY7BixQp8+9vfLrp2UYGSSXjooYcQCATgdrsxZswYzdm3gbBr1y5124Zt27YBgPoMjx49Wn02JkyYgJ/+9Ke4//77EQgEMG/ePHz11Vf49a9/jalTp+L888/XdL/nn38eTqcTs2fPxueff47f/OY3OPLII9XrR48ejVtvvRW/+tWvsH37dnzzm99EbW0tDhw4gA8//FDN9pSK2bNnY+7cufjlL3+JSCSCE088EZ9++iluvvlmTJ06FRdffDEAYOLEifj+97+PxYsXg2EYnH766di0aRPuvvvufuWBJ5xwAr71rW9hypQpqK2txebNm/HEE0+oAhzIZvYvvfTSgh3VFLz77rv47W9/i3POOQdjx45FKpXC8uXL8dBDD+G0007LW2dXyjjTF729vZg5cyYuuugiTJgwAYFAAOvWrVM7SyqYPHkynn/+eTzwwAM45phjQNM0jj32WM3PuoKhQ4fi29/+Nm655Ra0tLTgySefxMqVK3HXXXepNjrzzDNxxBFH4Nhjj0VjYyN27dqFxYsXY9SoUUU7xOaivb0d55xzDn74wx+it7cXN998M9xuNxYuXKie85e//AXz5s3D3Llzcdlll2HYsGHo7u7G5s2b8cknn+DZZ58d9D5W5BAKhfCb3/wGN910Ey655BJceOGF6OrqwqJFi+B2u3HzzTcDkMa92267DVdeeaXKMxwO45ZbbrHL9g4GmNWpwsb/bYwePVrTJpoKinXbI4SQd999l5x22mnE5/MRj8dDpk2bRv75z3/mnaN0xFm3bl3F91u1ahXxeDxk/Pjx5Pbbbyder7dgZystG6SW0xVvIIwaNUpTZzqlK1bfbnVtbW3kkksuIXV1dcTtdpNp06aRlStX9rvPz3/+c0JRFNm8efOAfPp2znM6naS+vp5Mnz6d3HTTTWTnzp3V+NoDIpPJkJtvvpmMHDmSuFwucthhh5F7772333lK97G+HdSi0Si55pprSHNzM3G5XGTKlClFN0ruC8UHPv30U3LqqacSj8dD6urqyE9+8pO8bm65WLJkCQFA/v73v2v+joU2yeU4jtx9993kyCOPJG63m/j9fjJhwgTy4x//mGzdulU9b82aNWT69OnE6/WSxsZGcuWVV5JPPvmEACCPPfZYWd9loG57hZ4pQgh54YUXyAknnEDcbjfx+Xxk1qxZ5F//+le/85YtW0YmT55MXC4XGTlyJLnzzjvJNddcQ2prazXZ6sUXXyQAyOzZs/OOKxtWF/KNQs/o4sWLyZgxY4jD4cizVbGNVbVufKmMVYX+9d0Qlud5cuedd5JDDz2UMAxDWlpayE9+8hPS09Mz6H0Uf//444/JmWeeSfx+PwkEAuTCCy8kBw4c6Hf+Cy+8QGbOnEmCwSBhWZaMGjWKnHvuuWTVqlV537HYmFfo+yeTSfLLX/6SjBo1akD+6XSa/PznPydNTU3quLR27dp+m+TeeOON5NhjjyW1tbWEZVkyduxYcv3115POzk71nM8++4wAIDfeeOOA9tm6dSuZP38+GTZsGGFZlrjdbjJ58mTy29/+tuDGzlrHmb5IpVLkqquuIlOmTCHBYFB9t9x8881575Xu7m5y7rnnklAoRCiKyuvCqPVZHzVqFDnjjDPIc889Rw4//HDicrnI6NGjyR//+Mc8Tn/4wx/IjBkzSENDg/qcXXHFFYOO18p4/8QTT5BrrrmGNDY2EpZlyUknnUQ++uijfudv3LiRnH/++aSpqYkwDEOam5vJaaedRh588EH1nFLf3UZz6NttT8HDDz9MpkyZQlwuF6mpqSFnnXUW+fzzz/td//DDD5Nx48apPvPoo4/am+QeBKAIqeJGMTZsaMCnn36KI488Evfdd5+6MPNgxfz58+HxePqVdf274/jjj8eoUaMqnh200R9Kh7mdO3cOupeJkbjsssvw3HPPIRaLmU0lDxzH4aijjsKwYcOwYsUKs+kcNFCyxx0dHf3Whv474/7778cvfvELbNu2TXOjkX8XjB49GkcccYTmMtdSsXr1asycORPPPvsszj33XF3ucTBwsPHvD7tsz4Zh2LZtG3bt2oWbbroJLS0t/Vp5Hox49dVXzaZgOCKRCDZu3KhpY1Ib2pBOp/HJJ5/gww8/xLJly/DHP/7RUsLJSrjiiiswe/ZstLS0oK2tDQ8++CA2b96Me+65x2xqNg4CvPXWW7jmmmv+zwknGzZsVA+2eLJhGG677TY88cQTmDhxIp599tlBO/bYsCaCwSDS6bTZNP6t0NraihkzZiAYDOLHP/4x/vM//9NsSpZFNBrFDTfcgI6ODjAMg6OPPhqvvvrqQdEhz4b5sLPlNmzYqBR22Z4NGzZs2LBhw4YNGzZsaIDdqtyGDRs2bNiwYcOGDRs2NMAWTzZs2LBhw4YNGzZs2LChAbZ4smHDhg0bNmzYsGHDhg0N+D/ZMEIURezfvx+BQKCqm6jasGHDhg0bNmzYsGHj4AIhBNFoFEOHDgVND5xb+j8pnvbv348RI0aYTcOGDRs2bNiwYcOGDRsWwZ49ezB8+PABz/k/KZ4CgQAAyUDBYNBkNtImjytWrMCcOXPsvV1sDArbX2yUAttfbJQC219slALbX2yUAiv7SyQSwYgRI1SNMBD+T4onpVQvGAxaRjx5vV4Eg0HLOZMN68H2FxulwPYXG6XA9hcbpcD2Fxul4GDwFy3LeeyGETZs2LBhw4YNGzZs2LChAbZ4smHDhg0bNmzYsGHDhg0NsMWTDRs2bNiwYcOGDRs2bGiALZ5s2LBhw4YNGzZs2LBhQwNs8WTDhg0bNmzYsGHDhg0bGmCLJxs2bNiwYcOGDRs2bNjQAFs82bBhw4YNGzZs2LBhw4YG6Cqe3nnnHZx55pkYOnQoKIrCCy+8MOg1b7/9No455hi43W6MHTsWDz74YL9zli5dikmTJoFlWUyaNAnLli3Tgb0NGzZs2LBhw4YNGzZsZKGreIrH4zjyyCPxP//zP5rO37FjB+bPn4+TTjoJ69evx0033YRrrrkGS5cuVc9Zu3YtLrjgAlx88cXYuHEjLr74Ypx//vn44IMP9PoaNmzYsGHDhg0bNmzYsKGveJo3bx5uv/12fOc739F0/oMPPoiRI0di8eLFmDhxIq688kpcfvnluPvuu9VzFi9ejNmzZ2PhwoWYMGECFi5ciFmzZmHx4sU6fQt9wXMZrHvi1+CSMbOpaIIoiNj+6b/AZ9JmU9EEIorYt/l98JmU2VQ0gRCCyI5PIGaSZlPRBE4Qkd77KcAdHHx74hkk9n4GZOJmU9GEfeEkIrs/A9IHx/iwpzuBnl2bgFTEbCqasC+cROeuz4Fk2GwqmtAeTaFr12Yg0W02FU3oTXCI7P8KiHeaTUUTUpwAvmsnEGs3m8qgEEWCSIoDevcCkVaz6QyKFCdgXzgpce3dazadQZHiBHx1IAoSPQCEd5tNZ1CkeQFf7I9Iz1r3DrPpDIo0L2JLWwTY8S6w+WWz6ZQMp9kEcrF27VrMmTMn79jcuXPxyCOPgOM4MAyDtWvX4vrrr+93zkDiKZ1OI53OBvuRiPRi5zgOHMdV7wuUgfX/czFm9L6Gj6jJSCXPNJXLYBBEgn89cDVmhZ/Fl+4jMfa61wAHYzatokhxAt544HqcHX0KOzxHYPi1KwCHy2xaRdEdz+Dl+3+BKzJPYp9nPJr+cxXAePqdp/is2b7b2pvCP+77FW4gj6Pdcwhqf/YG4PKbymkg7OpO4Kn7F+G/qEcQ8Y2G56o3AXfQbFpFsbU9hif+cifuoB9EwjcCzI/fBDy1JX+OUf6yaV8Ejz/8Jyx2/hkZXwuoH74J+Bp1vWclWLu9C39/4i/4H8efwPsaQa58Awi0mE2rKF7+tBUvL3sSDzl/D8FTB/GKVUDNiKrfp1r+8tiaXXh35fN4zHknRDYA4fIVQN3YalDUBf/10hf46qM38Hf2tyAuN/gfrAAaDjObVlH87OkNaN28Fs+yt8HFOMBfuhwYcoThPLT4CyEEP/zrJ+jc9glecC+CywEIF/8TZOhUo2iWBFEk+P6j69Cz+3O84rkFLDIQvv8CyIgTzKZWEGlOwEWPrEPv/q/wuu8WsGICwoX/ABl9stnU+oHjOMQ44LsPrkXswE6sCtwMDxcG/93HQSacYTo3rbCUeGpra8OQIUPyjg0ZMgQ8z6OzsxMtLS1Fz2lrayv6uXfccQcWLVrU7/iKFSvg9XqrQ75MpELfwOTwmzgWn2Hpw7+B85DTTOUzEDr3b8UV4WcBAONTG7HyLz9HYvQ3TWZVHLv27MI10acAAGOSm7D24WvRPsK6AvWL3fuxMPMkAGBY8ktsfPRn2Dniu0XPX7lypVHUCuLDHR24TfwrQAFNyW3Y8thP8OWIC03lNBBWbu3Bn7AEABCM78S2JT/CppGXmEtqADzzRRSPUY8AALzxPdi55EpsHHVF2Z+np78QAjywMYXnHQ8BAFzxVux5/HJ8Mvonut2zEogEuPNjDisdD4KmCOhEO/Y/fhnWjb3WbGoFwYnAonUC3mbugwMESHah8/FL8f6hN+h2z0r8JcEDf/iI4F3XfXBCANJhdD1xKdaMW1hFhtVDOA088wmFd9j7wIAHMjFEn7gY746/2WxqBbE/Drz+hQNvuO4HiwzAAYknL8bqib81jdNA/vJlmMK7Xzuw3PUAWJICeCD11MV4Y+JdAEUZyFIb3m+n8NEuB5a5/gK3KFUpZP5+KVZOuhugrNdn7bU9FD7d58DTzMNw81JygH/mB1hxxGIQymEyu/54fS+NLw/E8RjzKDxcGJ3u0Vj7NQdx+6um8kokEprPtZR4AgCqz4NECOl3vNA5fY/lYuHChViwYIH6cyQSwYgRIzBnzhwEg+bPPH/4xD6cuPsBHJr5HJPm3z34BSbh7Qf+M+/nUakvMGb+vSaxGRwv//m6vJ+HxT/HsfMfMIeMBnT98ed5P7ckvsCk+Y/0O4/jOKxcuRKzZ88Gw5iT+eMFEVt//0vQFFGPDU18gUPmzzeFz2CIpXl8uO7XYJyCemxo4nOMnDfPki/vjmgaqz+4HawrOxM2LPEZhs37ZskvbyP8ZXtHHGM//CN8rmyGf2j8czR/cw5AW+41gw17wpj04V8QdGRfli3xzzF/zizAyZrIrDBWf9WBI9Y9iToqW77ZFN+M+aefXPVsbzX85blP9uHwj5ahiQqrxxriX2L+zBmAJ1QdolXEA29vx0RqFYZT2fLCusQ2zD/5GMA/ZIArzcF/vfQFDqE+wCF0tlyvJrUH82ccAYRGGspFi7+8/NQGDKc2YSKdLX/zp9sw/4TDgIZxRlHVjL8/9hEasR1T6a/VY95MJ+YfMwponmwis8J46IG1CKIVJ9Cb1WNuvhfzj2wGGX6cicz6I5PJYNHv34IXKZxIbwIAvDv1D/jWaaeYzCxblaYFlnqrNTc398sgtbe3w+l0or6+fsBz+majcsGyLFi2/wuRYRjTgs9cNB1zJrD7AYxLfgoi8HC5+5dqmQ1RJBjWLTXlWDvih5i+538xOrkJTjENirVeqVY0xWFEeB1AA+tG/RDH7fpfDEtugYOPW/Llvac7gXGxjwEH8PGoH+KYXf+LpsRWIN0D+JsKXmOm/37Z3oujuA2AA1g34geYuvtxBBO7gHgbEKp+KVGl2LyrF9OpzwAA7zZ9H8cf+Ds8yVYgshtoONRkdv2xcV8nvuGQXiyrQudhes9L8KW6ge6vyn556+kv63b34hvyi3C599uYHn8DoUwEjvZNwAhrvbwBYM32ME6iJX94hZmD4zIfookPg2lbD4w5yWR2/fHWV11ZvtQpmCJ8gRHoALP/I2DcbF3uWYm/rNzcofrDa2QaDiF7MI7eB2bvWmDSt6tJsyp488tOnCjb9w1hKoZQPTiC3glmzxpgyvkms+uPD3b24CTZvu8Jh8NNcTiW/grMnn8BjYeYwqmYvxBCsH5PGLPozwEA68TDINAspuEzMLvfA1omGU11QGR4Eev3hDFXtu9n4mjEmQZMEz4Cs/tdYMTRJjPMRziRwRetUcylvwBNEWwVh6HLOxbTUu/CuetdYMwMsynmYVtHHN1pCqc7t8BFCdgtNmJVVx3OsUAsXsp4Z6n84/Tp0/ulflesWIFjjz1W/VLFzpkxw1oOUgpGjj8WXSQIL5XG15+8aTadgvhq5y6MJ9IixMlnXYe9pAEu8GjftNpcYkXw+Y59OIraCgAYM/tH2Ca2wAERia9Wm0usCD7f3Y7j6C8BAHXT/wOfi6MAAMLXb5lJqyg27enENHmWy3Pkd7GRyC/s7dbku353N06UX97uI76Fj8Tx0i8synfdjm51Vs45YS4+ECdKv9hmTb5rt3epfPkxp2GNeLj0C4va972vO1S+0WEn4z1RXitiUb7v59i3o2l6lq9F/eHTvWGcKIv/PaHjLW1fXhCxuTWiir2v/MfiPVGeoLCgfXuTHLZ3xFW+G11TLe0Pe7qT6IxlcJLsD+uoKXibs+748Nm+XqQ4EbNY6f32LzIFr6esO/6u3dYFQoAzfFsAAO+JR+CVmHXfb2u2dQEAvlMjZfXeE4/AB9u71SqzgwW6iqdYLIYNGzZgw4YNAKRW5Bs2bMDu3VLqduHChbjkkuyag6uuugq7du3CggULsHnzZjz66KN45JFHcMMN2brua6+9FitWrMBdd92FLVu24K677sKqVatw3XXX6flVdAXtoLHFOQEAENm+zmQ2hdHx1YegKYL9jmHwNwzHNs+RAID2r943mVlhdH79MZyUiG5nExqGH4bPGenl0mlRvu3b1sNNcYg5Qhg57kh8Qkmzcb0W9YfW7Zvgp1JIO3wYc8QJ+FCU/De562OTmRXGnu1bUEvFwNMuDDv8RJWvsNeafLfv+BrNVA8IaDRNOlnlS/avN5lZYXy9czdG0wcAAEOOmKnyxf4N5pEqAkIItu9vxzhqHwCgflIuX+vZN8UJ2NfZi0nULgCA59CTLc23PZpCVyyFKdR26cDoEy3tD9s64kjzAo6kJb6plmn4QOHbusE8YkWwaV8vAOAohzSZ2dt0fHZyxYL+8MnuHgDAsU6J74G6Y7L2tSDfj3ZKnSyPkfnu9h+FD3Pta7Egf8OeMABgqnMnAGCzazLWCLJ4at0IiKI5xIpgS1sUADBZft4+oSahM5bGto6DowOuAl3F00cffYSpU6di6lSpo8qCBQswdepU/Nd//RcAoLW1VRVSADBmzBi8+uqrWL16NY466ijcdtttuPfee/Hd72YXzc+YMQN///vf8dhjj2HKlClYsmQJnnnmGZxwgjW7oGhFt2sYAMDR+ZXJTAojtf8LAEDYL2UYMnVSFyK640vTOA2E9H4py9AbkEqyuHppsObbNhe9xkwo9o0FD4XDQSMVkurA061fmEmrKBS+yZpD4XO7VL9IWZSvYsdMzVi01AWwlxklH7eePwgiATql54oPjcEhQxuwFVIpJH/AenxjaR7+qPQiFAPDMHZEC74iw6WfO7aYSa0g9vem0MztBU0REG89xoweja9EiS+x4Hj2dXsMI9AGhhJAXH4cOm4iviJyaawF7bu5NYphVCc8VAZwuDDq0CNUf0DHl5YLPjft60UjelFDxQGKRtMhU7BV4du5FRB4cwn2wca9YQQRRyOkID84cjK2yv6Lnp2W2zZi494wWGQwRJQmV9iWI7L2jbYCqV4T2fXHlweicEBAMy+1U3cMmYivyVAQUEAqDMQ7zCXYB1+3x0BBxJCMNLkiNozHTtIMgWYALgH07jGZYT62tscAEAxJSeJ0yCFH4TtTh5lLqgzouubp1FNPHTAVt2TJkn7HTjnlFHzyyScDfu65556Lc889t1J6lkLSOwxIAsHYNrOpFATTLYk6oV6a0XAMmQDsBwIW5evskUr2lFazdNN4oB1qkGc1uGS+9BBJ5DmbJwG9gLfXevblBRHe3q2AA3A2SzNyzuaJwE6AVexuIURSHJpSOwEGYJongaIoUI0TgA6A6dkqBXMWahqxP5zEKHGvZN8h40E5HcjUjgNiAN29TQrmHNZZrrq9I4ZD6f0AALppAhr8LDrdYwARoHp2AFwKYNwms8xi64GomnWiGidgVL0XOynp5U1F9kl7VFmohf2XbVEcSkn2pRoOwyFNfmwjLRAJBTrZLe3r4mswmWUWm1sjOFS2L+oPxWEttdhFhoAjDjBcXNrjx0LrIjft78WhtMy3djQmjWjEPlKPJFh4xDTQs8NSTQ2+aotm7RsYinEjh6IT+xGhAgiSKND1taWaGuzojOMQaj8oEMBTixEjRiL6SRQ9jnrUCl1Ax1eWWhe5vSOOUdQBOAgPMD7UDxuL9JZt6HINRUNmnzRhUWQdshn4uiOGoegCIyQBmoF/6GEQdu9DFzsSTclt0oRF7SizaQKQsv5b2+OoRwQurhcAhf930bcAl7ldr8uBpdY8/V+G6Jf2F2nhd4NYLM0KAKG4NEvgHSaVk9WMlMrghmT2AKJQ9DozwAsi6hMS38AIiad/uPTf+sxegM+Yxq0QepMchnFSBrZG5usdKomSmkyb5TZIbe1NYSykl7d3qOQPAdkvvFwPEO8yjVsh7OpMqMEGI4vT0PAJ4AkNho8Dkf1m0uuH7Z1xjKOkWU+qUebbMhZJ4oJDzADhXWbS64dtHTGVLxqlyZVQ03BEiBcUEYFua00AfN0eywbLDYeBcdCorW9COwlJxzqtNQHw1YFojn0nIOR1weP1Yy+RBZPFsk9ftmXFKRrHY3itB6AZ7CDN0rFOa2X3dnTGs2KkYTzGNvhBQONrUd7zy2LZyJ1dCRwiT1ag8TBMaA4AoLBVHCodsxrfXPs2TsCkodLExFZRzjZYyH8JIdjeEcv6b8M4jG+uAQBsJwpf69g3xQnY051QJ69QfwgOGRICAOySJ4Ss9Ly19qYQS/MYp4y/oZEHpXACbPFkGbiCzRAIhSAS6Dpgrd2sY2keI0WJU9NYaa3T0NETkCYMWGSQ6bJWMNcWSWGsPPjVjpJm4FqGj0GUeOCA9YK5Pd0JHCLzZeXOQy0tw9BB5Nlvi5Vy7urKihG6SQruWxrrs8GchQZrANjRFc8O1nJwP7KpBjutGszlZHIUvuOaQ9hOrBnMbWuPq5kRhe9hzQFsJdYLjgBg64Gc4EgWp4c2+bPBnMX8YWt7rj9ImfSxjX58bcFgDgB2deX4Q8N4OB00RtR5Lct3d3ciJ7gfjxovgxoPky0ts5j/7u5O5Pnv0JAHDprCl4L1xBMniNjTk8ybrBjbIHXn/ZyTxzMLPW9d8QwiKT7Lt3ECDmsOAAA+TcvvCwvZd3tHHCIBjnDJLesbx+OQJsm+mxT7Wsh/vzogrXc62pU//h6MsMWTReBwMthPSw9n27ZPTWaTj/2t+9T9RQLDpIxIc8iHHZAezs6dn5nGrRD2t3dhKCXVgzuapGBudKMf24j0cknst9a6kX1dvRhFSfXgSpnh6HoftsnBhthhNfEUxVhK3i5ALmcZWefF12rwaTG+nXGMpeSXi2zf4bWebDBnsUyDUuYCQOU7oi6Xr7Xsu60j1o/v2AZ/jj9Yz75Zf5D899AmP76Wxwer2XdvTyLHvtJ4NrbBZ1n/3dOTzMuMAMDoeq8l7SuKBHu7k/38d1S9F18rmRwL2bc3yaE7nsFYle84MA4aLTVu9X1hJfvu6U5AEAkOc2SD+5CXgZ91qu9jK9l3u9y0YDLbLh1oGIcRtV5QFLBFUMSedey7rUOKy450y+uwGg7DobJ4+jghlxZayL57uqV99cY7sv57sMIWTxZCj0t6OJOd1srkhPdJmZpuqlZNsVIUhR6XNPj1tu4wjVsh9LRK65rilB/w1AIA/KwTBxySOA23WmvdU1frLjgoAo5igIDEcWjIjb1EGvxiHTtNZNcfXW37wFIcRNBAjbR2YVS9D3tIIwCA77ZW5rStvR1BSt4MVa79HlHrVfmSsLUW1O7p6EEjJS+irh0NABgW8mK37A/o3WsOsSLY2xVFszxZofKt9aj2tdqC5X09CQxTNkOV+Ur+az37EkKwryeJoX34jmn05fiDdeyb4gR0RNP9+I5usKZ9D0RTyAgihtFyqbHMd2SdVx1/rcR3d5c0jo1y9Oebfd6sw3dnlyRGRjuljnuoHQ2KojC81mPJ8WxHpyRGRjmz45nLSaMpwGKPaD2++8JSc5AROf7Q6GfBOmnsEa3nD3tlvsPo/PHhYIQtniyEhEcST0K3dV6GABCXg/deV/5GxCrfHmuJvUSHJOYibD7fpFcRpzuNpjQgkrJ9o2yz2rjA6aARd0tCKtG+0yRmhZGQ+SbYRsAh7b9W62XQ6ZBeLgmLiX+Fb8YVAlw+AMDwWi/2E2njba7bWnw5+fkXnF5V/A+v9ah8iYWCZQDIhFulTnC0E/BLz9ywUJavlV7evCAiFe2El0pLB4LSbP3Qmhy+FhLT4QQHMRNXM/+okUrJRtZ5c+xrHb57exJwgscQyMGyPLkypsGHfUpZr4X8YVdXAhREDKXk4FO27+h6H/ZZ0L6KGMnylew7ss6bY1/r8N0li70WyJkR2b7Da3P4Wuh52xdOAQCGEIWvZN9hIQ/2IWc8s0jHyP2yGGkU5UxZzXBQFCWPv7J9o62AwJnEMB/7Vfvm++/BCFs8WQhCQG5XHrXOywXIZhIUsaRA4UtF9hnOaSDwcvCZ8g7NO875Jb60xfgKPZJ9M74+fGX7krC1/EGQX3a8P9telKIoZPwSf6HHOi9DAKAjkv34QJavx+VAlJX8mbfQZAUhRH3+hcAwVUwPCbpxANLLkLeQfZMZAb6UVMJJAkMB2gFAFk8yX9FC/nsgmkYzkWY9ia9J7QI4NORWgw1ioeB+b08yGyizNWoXwJaaLF8riZE9PUk0Uz1wUARwsIBX4thPTFsk+NzdnUA9omDBAaCAoDSGjaz3Zu0b2W+Zpkh7ehIIIAEfkffEkcX/iFwxHTsA8GmTGOajtTcFFhnUCPlienitB60K33SvZdqVt4aToCGihsuKEUASewdIndSuXEhLHS4tAEk8EdRk5LJ/2b5DQx50Iii1KyeiJKAsgH09kpiuE/MnKw5G2OLJQnDI7VvdCWs4ugIqKokNMZjfi58KSY7vTlirW5kqPvs+mPLPbNxqfOW2yX3b9wYlvq64tcQeK/+96dp8+1KyfZ1R6/AVRAKvHNzTfexLamQxbaHJit4kh0ZRmvV01Gb5OmhKFdOUhYLl1t6kWgKnjAcAEPIy6HbmlLlYJFjeH86WwFE540NLjSebaYjut8zePvvCiX5ZEUDiqwbLiS4gkzCBXX/s7U5gKOTAsmYYQEshRnONOxssZ2LSfjkWwN7uRLbEMNCiZtKHhTxoRwgCaEDkgFi7iSyzaOtNoUXxB08twErrW0bWedGDANJgpd9ZZIKwtTeVLellspn0EXVeJOBGjJabIvVag29bJIVGhOEgAkA51DL6YbUecHAiylgrG7k/nEIN4lKbckAV/0NDbhDQiCrVQhZ5Z+wLJ+FGGj5RahxhiycbVYGncSQAoIY7YDKTfHjkYNlZOzLvOFsvrR8JZqzF15uUgmWmLp+vS/45kG4znFMxEEJUPq4+fJXg2Z9qtUzwmeIE1Mmzcq66/L0jFL7eVJtldjXvjKXRIgdzrvq+/iDxd6c6LDNTuz+cwlBIwZGjj9hzyj87M71AOmo4t0LYH06pwT2VU4JBURTommHSXkRCSgrwLYB9uZmcnBe3x+WA4GlAhjik9uoWmandW4RvU4BFjPIiSjzSAYsEy8X4NgfdSMOV7SBqkWDuQCRdkO+QIAsBDhwgddIBi/Bt601lxV4O36EhNwAKbZS1spEHelP59pUz6cNrJb9ttxjf/eHsZBCCw/Iy6QDQQVtrHdH+nMkr+BoBRuI5LCStTe9yWGedVoYX0R7NPm/E5QfcNSazKh+2eLIQaprHAgAahQ5L7fWkiCNv45j8483Sz7VCp2VmagkhqOUUvqPzfudrkvgGhLBldmGPpXk0idLg520anfc7n/wzKyYtU9bQnhNssA354slTPxw8oaXNBePWmKltzQk26FC+ePLXNiFFpJlmq+z11BZJ9lvPoKC+vh5hIq3ZsspM7f7eZMFgDgCG1AbRjpD0g0VmavflZJ7Qxx9aan3Z7IgFgg1AESP97et00GgKeCy37ulAJDe4z/pvnc8Fl4O2XKnhgWgqG3zmTFYMCUrlnHssto7oQCSFYer4kPXfpoDMV7CW2GuN5AT3eZlTie9e0Tr+SwiR3xf9xfQwWeztEa3jv4kMj3CCK/i+kMQ0LLUOrq03BUJymnHUjLDU5vSlwhZPFkJD8yiIhIKHyqC3yxrZEV4Q0SSXESliSUFD8whkiANOiBAtEnz2JDg10xAYMjrvd40NTYgRaVCxwuAHKDOfEl+2T+apsTaETnWm1vzBD5DKGrJlT/nBfVONH22QX94WWQTc1lt4JhwAmoIeS71cACWTU1iMNAXYnODTKnyL23doyHpNGKSZ5cJ8pVI4a9m3I5ouyre5xm05+7YX4UtRFIbUsJbjWyzzFHAz8LkclhOnbZHC40NTUCrXU8WIBewrigQHetNqJj0/cyq9h3fyUhmfFewbSfJIZISC9lXE3i5eEafm81WaL4xllPVkOWJPzpTtUOxrAX9o7ZUmrCd4pIlg0mcZyMEGWzxZCKzHi25KSmN2W2Sj3K5oAo2QnL2mKT+4H1LjRTukhzPcbg2+B3qTGEJJgwkTyn84W0IetMllGEKvNcReeySFZpmvUq+sYEjQrfJF1Bpi+kAe3/wGIkOCbA5fa5Q9tfWm0Ax5piuQb9+mPL7WsG9bb3H7NgVYtFrMvq3hnDUNfe2bx9ca9m2PpjFE5Ztv36EhN1phLfu2R1MYovhvn/FhaMh9UNm3Jeix3PjQHknl8O0z/tZYa/zlBREd0XTB8YF1OlDrZbKTVxawb3cig4wgopnub98GvwsUBewXrWPf/XJwP4qRqzxy7KuIvR0ZuczMAvZt65XE0xhW4Zu1b7Ms9nakFb7m27c9KpXGj3bJfPuMDwcbbPFkMfTSkhiJd1mjLKe7fT9oioAHDdrfkPc7xkGjR+Yb7bCGGOnu7gBLySWE/vxW5fV+Fp1yGVGk0xr27QiHs3sQ9eHbXONGB5EGP67X/MEaANp746iXxTT8zXm/aw5m+SJmjXVwrb3J7J5JgXz7Dgm60QGr8U2hkQpLP/Sxb5MF7dsRSxe1b2OARQcJST9YhW80rU4GKYvBFQzJs681yk7bozn27Ts+BD3oUMoiLWLfA5FUjj/0sW+NO8cfzLdvhhfRFc8UHx8Cbkv5b2csA5Egxx/6jA8Ba9lXCe6HOeX1mTn2dTpo1PusNT60RSS+wxmZb459Qx4GTpqylH07YhLfoc6IdCBnfGgMSJnIPVxAOmAB+3bI4qmFlviSPuPZwQZbPFkMcZeUdk/3WCNYjsoirpcKqYsncxFzSnxTYWuIp2iHVI4Xp/xqG2IFDppC1CnNdFlFnMY6pb8zR7n6LZ6s9TLoohQxbQ37RroOwEERaYNcX76YloL7EACAj5g/0wUA4Z5ueKiM9IOvKe93TRYM7rsjEYQouQ2xvwBfNVg2/+UNAJ2RJBpQOLi3on07oukccZpv3wa/y+J8+9g3aC37pjgB0RRf1L4tNdaarOiIScFcUxH75k5eWeF5OyAH9y0O5XnrMz4EWUtNrijiqdkxwPgA69hXCe6b6P72pWlKngyyjn1VvgUmV/ysE6yTtpjYk/g2FBkfDjbY4sliSLHyXi4R8x9OAEjKQXuMqSv8e1YST3yvNYLllCw6i/KVxSnXaxH79kj2jTN1/RZPUhSl8k2HrSGmFZGcctX2E9NBtxM9dAgAkLSI+Odkv+ScfsDlzftdbiaHs4j/ClHpJSfSjNrWV4E0syzxJRZ4eQMAF+uEk5Kb2/ga837XaLHgiBCCeKwXPmWD3D5i2mrBUSzNI5NJo55SZsLzg88GP2up4L49kgYF8aAR04oYKRR8AkpmOiT9YAG+SmaksYh9hwStlXlSg2USlg5YXPx3ynzrivBttNjkVWdMmhSsJXIZZw5fiqL6Z/5N7tjbHpHsWytKfInPzjzZqCJ4rxSAUBYYTIBsUJl0NRT+vVviSywwmABZ0Zl2F+ab8Sh8rWFfQeabcTcW/L3yPcSoNfgqPDhPf74URanfwypimooX5+tnnYg4JJFtFfFEyc8R72nsJ6Zzgw3BApMrhBDQcldFwVOn7pGjIPflbYXnLZLiUSNI6y+Iy6/ukaOgwW+t4Kg9kkI95JIc2tlPTFstU3YgKu0546LkDWX7iOn6PL7m2/dAbwoepOCD3Hm1z0z4EItlcjpjaTggIEiKiSc2X+yZHCx3xdIACIJiWDpQKJOu+EOiy/SNiDujkhhRxojC4l/2h3TE9L3VlMxTgFfEU//JoC7IDadEDkj2GEmvHxQxHeAV+9qZJxtVBCXPhjLJDpOZSFCCHt5TWIwQv/SCdCbMfxkCWb5CgWAZAARZnDoS1rCvIpJF38B8aYu0/nbKdhO9hfkqxymL8GUSOXtgFID6PSwQHIkiAZuS7EsVeLG4GQcSLknsiRZYANyb5FArz9IW4tvgZ9GpZMosIP6l9U5hAABVwB8aAzl8LeAPeSV7vkZ1w1kFDX4WnbmZPQvMLKvrcdwhwMnm/T4vUxbvMD1Y7oil0aDwdXoAV76Yrs/lm+oFuJTBDPPRFcugDhHQIABFA9786orczDSEtOnbW3TGMggiAYYULpseEnSjGwGpBJyIQLzTBJZZdMbSYJGBW4hJB/z9M+kxeMDTsl+b/I7riKZBQ4Q3U1iMNPpZZMAgzcgCyuQJi/ZICgCBJyPv81TknXywwBZPFoOzRlqk6M6YO5AoUEQGKTJL4JAXBbNpa/BVgvu+i38V0PJxNmUNvi6ZB1Vk8aQSlLpS1hB7bvnvTBexr2gh8S+IBB5O5htsLniOKNvXCmK6J5FBvRzcO4KF7Utk+zri5vPtjGXFCF3Af92MAym5rJdKdJi+cXLHAM0XAMgL2KXgk0r2mL5xcn6ziP7jb67YA580fePkjmiq6PosQLKvFCxTABGARLexBPugK5bJKYFr6pfpbfC5EIEPGTilAyYHy12xdLbE0NfYr2y6wc8iDRcSlFyebHKw3BnLEf9sTb81yE0BFiJoRB3WyO7ljQ8OlzQBkIPGgLQRcUReN222fTuiadQhCgoiAArw5k9wK00jlHXpZtu3M5aGH0k4BHkSwhZPNqoJd0hq3+jnzH2xKFBmwp1Fgk+Xxfh6ZNFZjK8iTr0WEadeTuFbOFh21kj29aS7DONUDLwgqn9nV01h+9Ly93CnO02fCe9JZNAgB/dF+cpBHpvpAQTOKGoF0RXPBnPFxKkyWeHg40A6Zhi3QmgfoJmBAkdACvopkbdE2UixZgYA4HLSgKcWHJGDUpMF6kDNIgBp49kE3Nm960wO5iT/DUs/FMpEBlzg4UQ3sUYHsK74wPat97MAKHRZpJSzM5YZ0H/rfC4AyOFrfrA8kPiX7At0y02RzLdvOsd/h/QT04oY6aFC0gGzxV7ueOZrABzOvN8rfMMO8+3LC/mdLTnaDbh8pvGpBmzxZDH4G6S9iUKiuYGGAp8SLIcK9+T31Ut7C9QI3aYHywDg5xW+hYNlT60s9oRe08tGOEFESJD+zu7aoQXPYZVMpBg3vca6O5F9ebO1hf1B4esg5gfL0stwYDHiCjaAJ/IwaHKw3KlBjHgDNUgQa5SNSMFc8eAIAGoDfnQTuRzK7GBjkMwTADQEPDmlcBYI7lHcvoyDRq2Xscy6nLy234XEnlfa28cqfLvjA/tvvV8SIwdEa/DNy+QUsG+Dwtci9pUye2HphyLiH7COP3QOMrnSKNu30wLrDDlBRE8iM4g/SO8JK/DtjmdASLazZZqpGfiCgwC2eLIYQk3SLtFBxMGlkyazAWrk4N5TW1iMBGWx5wJneo11hhdRKy9O9RYJ7oN1LRAIBRrm11j3xDNqzX1R+4bqkSLyQnzTy0YyaietQmVaABAK+BEm8oyS2TPhsax9iwX3dQFvdlGt2cF97hoMXxG+Put0WOuIpge1b72Fmhp0xdI5neAK87VSB7vuODeoP+Q3uTBZjAzyvDkdNGq91mkaMZj4r1XFXkg6YLb/xjNoUBqIFPAHRYy0Cdbw387c8czfv0SrXubbKpg//kpihEMDNZB9JTHSJppvX0WMNOaWcfaBIp7aRPPt2xWX1r2NdkvbcKSdtniyUWUEQ9mZ8N5ucwfrNC+gRh6sA3WFMyP1oRrE5ZnwTNTc0rKeRAa1cltfXxHxVB/0Igx5Jjxpcs19PINaSHzpYsFnbscck9cIdMez9u27x5OCOj+LLiLzNdm+nbE06lS+heur630udBNr2LczlsnhW8S+Phe6LeIPXTGp5h5AUfvW5drXZH/oSQxu34YAaxl/6I4P7r8NftYy9u2OZ3L8obB9630udEMu2zN7/I2l1fG3kH0dNIU6rwtdSpmhBZ63gcbfkCz2VL4m2lcRI7UD+K8q9njz38fdcnBfP4B963zSJGYrL08OmugPXXKb8uGsPMFewL5q5tQC9u2R7TvUJVXPpJ1B07hUC7Z4shgcDhphSnKsmMniKRxLIQRppsBXW6Qsx+tCj/wyjPWY2wGsOyeYo/31Bc9p8LvQI79c+Ji5maeu3GDZW4wvq/I1++WdJ0aK8fVl/QEJc8V0VywrTovxlYJ7a9g3L5grwrfen8vXOpMVxfjWel3oViYrTBcjg/Ot8zLZ4N5k+3bHB/dfSexZw75d8fSg9s0fz8y372DjWb0/dzwzz768LEYG4quIPSuMvz19xUgBvorYs8L7TREjLYy8QXkBvmrmiVPEk4n2TUh8m50D8ZUze5zcQMRE+3b34ZtxBkzjUi3Y4smCiNKSeIr3mCueervbQVPSOibaW3jTWZqmEJHFXiJsbplAuDcMNyUv+i/yMgzlir1uk8VeNIYaSl7HVOzlnRPcC2aXwUUHD+7rcsSp2WWRWsRevYXEnpbgvjYvODLXvlqCzzqfdfyhJ85l900qZt9cvhawbz01MF+r+a8WMdJtAX9Qxcgg/pA/uWIeXyX4HMx/8/iaaF9lA9eBgnsHTcmTK+bzDcv2bRyAb42HAUXBGv4gi9Mmh9w0qJB48kriaX9GFnsm2rcv34zTP9DpBwVs8WRBJOTWnZmIuQvYY7J4i1D+fp1c8s6T+aZ6zQ3uYz3S/TNwAYy34DkOmkKUtgbfeFgazERQgCdU8JyQ14Ww/HJJmMw3GunOboBZREzX+1j15SLGzQ3meqMxBCi5rKEI3zoLZXLC8RRqUfxlCOSLabP59sS5bJlWEfvW5pZpmZ2J1JAZqbOQffPFdGH7hryMJfgqYmTQzKlFxJ4iRuoGsW+9n7UEXyUz0jhAsAzImTILZHKUzEgDrfAtMv7mTVaYZ99wUpp0baCK21cRe1bIRCr2raeL+2/Qw4DOE3smPm/x/OctbWeeBsf999+PMWPGwO1245hjjsG7775b9NzLLrsMFEX1+3f44Yer5yxZsqTgOamUuRvYVRMpVwgAwEXNnflMypmkGD3w4r4UEwIAcFFzxV4qLIm9uLOmX5vRXCQZRZyaa990RLJv0hHst2eHAgdNSd8HQKbXZL690t83Q3sAxlPwnFovo75clO9nFji5LFOkHNI+IwVQlxPMiSYHy+lYGE5K3gtpADFiheAIAOLxKLyUvBfSQMGyBV7eANAbz5Yha8lMm2lfQSQIJ3PWEA2UibSAfXsSUvA5WOapxmuNMll1jQt9cExWqMHnoHxZS0xWKMH9wTJZEZb9N1RSmbeZZZES3xoycBlnyGuNySuljFPha5ftDYJnnnkG1113HX71q19h/fr1OOmkkzBv3jzs3r274Pn33HMPWltb1X979uxBXV0dzjvvvLzzgsFg3nmtra1wu90FP/NgBMdKgRMxucxFyXwlB2krmXZJfM3ONChiMymLuWJIM9K+B6LJ9lX4pmWxXAyKODV7jZYg2yvjqi16jtNBZ8WpyeJfjEn+yLlCAF14qKvNCeY4kzO9RH5+eMYPONmC5+QuuDd7fFD4EpoB2MILgGu91gg2BJGAJHvUMmR4CvtwfoMAc4NPN0kPWoZslcxedzwDBwSEqEHEqYexUCaHDBoshywjTqXgM0QGKeP05zbAMV9M1wzG12eNyQrFvjVE7l5XdE1kH38waXsWhW9wEPvWepks31QYEHgD2PWH0m3PL0r2zTjssr0B8cc//hFXXHEFrrzySkycOBGLFy/GiBEj8MADDxQ8v6amBs3Nzeq/jz76CD09PfjBD36Qdx5FUXnnNTcXbvN8sEL0SGKEMrkbkRKsDxQsA4DglmfJTZ5Z5uVgkhuEL++Wfk9M5qsGy+zAfFUxbfIaDOXvq9ivGBR/MTu4p5IK38JZHEDaK0cRp4LJ4pRKSXzFAfhKmSfpxSPEzPNfUSRwpKXxSfTUFc305mb2zHzeIklODZSJuwZwMAXPq/Ux1giWczvXOdiiG0rmBUdmLriPpxFSSk5BAe5QwfOsUmYYTnDwIwkGcjDpKVIW6cltIGJmcM+BAQ8vUdbIFivj7DNZYVZwH5fEqV8oYY1Wute0jcp75bI9n8q3eJmh6g9CBsiYs1G5kon08mHpwAD27YUPBPL4bNLei4rYU/j+O2Seii9kqRCZTAYff/wxbrzxxrzjc+bMwZo1azR9xiOPPILTTz8do0aNyjsei8UwatQoCIKAo446CrfddhumTp1a9HPS6TTS6bT6cyQiPSAcx4HjzHlYc6FwUP5L5ODUkeo2lZ8S/HJs7YA8RHkW15E0ly/i2eB+IB6CbF860WUqXzqZFU8D8eDZEBAFqER3ns8azd0pi3lxEPvybC2QBmCyfR0p6UVBPNr4EhP5EkLgTPUAzOB8U65s5lQLXz38pTfJqSUYlLeu6Gf7GeStgRNNsm97byK7HsdTnG/ARWcze4ku8CbxPdCbUEueiLcOPF94xlgPvuX4S2ckmeXrCYEXCSD2v97volV/IMlu8Jk0QBm/9LozmsOX8YKnGKDA9/W76Kw4zcTAJaOA0/gql65oKiv+KRq801eUr7oVBxHAxboAt7576hTyl65YCkEk4IC0RpZjAgX5hjxOROCDCBo0RHCRA0U3sNYT3bE0WGTAipI45Vw1BfnWeJxIgQVHs2DEtMQ3ZII/xNKgIcLNybGsK1jEvgwEOJBmgnBzvRJfNmQw2+yaPTYTBiCJJyvE3n1RCifdxFNnZycEQcCQIfkPwpAhQ9DWNniXs9bWVixfvhxPPfVU3vEJEyZgyZIlmDx5MiKRCO655x6ceOKJ2LhxI8aNG1fws+644w4sWrSo3/EVK1bA6y3cWMAMrFy5EgCQ7pYeYCrWjldffdU8Qp17pP8kxAF5dPbI682iB0zly/XsAwB0xERsGoDHgYj0gIgm8xUjrQCAjriIdQPw6IiL8vlteXwVfzEKVKIDoCU+7w7AtyslzXIJEfPsSwjgSncDDNAZF7FxAB5hTspCiNE20/gmeCAkd9LqThJ8OACPOKT1ZmKsHa+XwLea/tKehJoZ6UoCawbiS0nBHIl34tVXXhlwPaJe2BbJrsfpSdNF/Tcj5LROToax/JV/glCF1yPqiQ1dlMo3wjNYXYRvdzrLl+ISeP3lZRDowiWfpaIUf1lzgEK97A9xkcUbRfjuiEJtgEMRESv/+Rw4EzpvfbiXUv03CQ9WFuG7tYdCBF7woOGEiDdffg4pV/HMsF7YsJNW/SHj8OG15a8VPG9XB4U0XEjADS9SeHv584izxoiRXH/5fCutilOeduPVFW8WvGbffgoiHIjChxpE8e7rLyLqGW4I31x8uYNWJ1dE0Hj1jfcKjlM9rTQAGr3EjwaksWblPxH2jTWYLbCrzYEg4qAgxQbL3/4AhOofzse6ZL6iB2704oO3XkGXf5vBbIHWLgfcyMAhSLFixuk3PH7RgkQioflc3cSTAqqPAxJC+h0rhCVLliAUCuHss8/OOz5t2jRMmzZN/fnEE0/E0UcfjT//+c+49957C37WwoULsWDBAvXnSCSCESNGYM6cOQgGzd+si+M4rFy5ErNnzwbDMPj07RTwHhCi45g8f75pvN7f8jjAAw0jxuOkAXi8vZIDPgRq6ATmm8h35ed/AzJA46jxOGYAHi+8LAAbgRrKXL7LPn0GEICm0RMwaQAerUkCbAGCVBzz58/v5y9GgBCCto+eAwC0jJmIsQPw/Sy8HNgBBBA3zb7RFI8d614EAAwdMxHDBuDxRutyoA3wiXHMnzfPlOB+V3cCOz9ZDgAYMnrCgHb7x87XgR7ALSYwf+7soiVoCvTwl/W7w9j32SoAQP2Iwwbk++fNK4EU4CQc5p9+MsAaX7Kx8ot2tG95BwAQGnrIgHwXrX8dAECBYN6p04puUKsnoh/tRc/XawEAgSGji/JNZHgs+uQNZIgDLkrA3JOOA2oqCz7L8Zc97+xA786PAQDexpFF+W7viGPxpn8hCg8CSGL2iVOB+sKTnnpi4/Ivkdj3KQDAUz+sKN/m3WH875YP0Ysg6hHGadOOBJonG0kVALB66WdIH9gMAHCFWoryZbe0429fb0CUroFXTOHU444AGX6crtwK+cvzf/0EYtfXAABHoKko3+Qn+/DCrs8Rc4ZQw0dx8jETQUafpCvfQnhi/4eoC0tr8SlfA+afcUbB8w6s2YUV+75E0lULpLtw4tTxIIfONpIqAODOL95BPbUfAEDYIOad8e2C532xYivWtu9A2t0IxNswbco4kAnGvpMJIbjhw1VokicHicMFnnYbGr9ohVKVpgW6iaeGhgY4HI5+Wab29vZ+2ai+IITg0UcfxcUXXwyXyzXguTRN47jjjsPWrVuLnsOyLFi2/2wcwzCW+uMpfHx10houvxAxlZ9Hrk9lgo0D8vDVSnx9Qq+pfL28tBiRCTYNyMMTkvzPEnwpwDUIX1bm6+EjoB3ZWXAj/Tee5tXFv+7QwHxdQWlDZZeQACixaPMDPRGPZne3d9U0AQPwdQaagDaAJjxoMal7mUshRNOiypf2NYIegK/DVwexmwJNETBcFHBrm1mupr9E8vg2DMjX4wsilWTgpjgwXATwGz9zH80IORtoD2zfGp8X4aQPISoOJhMBQkONoqkilhHVTMNA9g06nWCdDvQggCEIg8n0AsyYqnAoxV8iaUET3/qglDXtFgMI0EnJviaMwZF01h8oX0PR71kfkEqyehBAvWpf4/n2pnL4eovzbQhI9pX84QCcBvLN9ZdwikcDpdi3vijfOr9k3zCCGAYYyjcXkRSPRoWvtzjfkLxRbi8VxAgAzrQ5fHsSGQzD4HwbZP/tlffidKbDhvNNZgRwAsl2XpTXyFot/gZQEh/dio1dLheOOeaYfqm5lStXYsaMGQNe+/bbb+Prr7/GFVdcMeh9CCHYsGEDWlpaKuJrJfhqpJlOPzFnMaICtyA5O+MvvBhRgTfUAADwkTggirrzKgaPKPFlAwPzdddIfFmSAviM7rwKgRdEeEXp78sGB+Er/56GCGSiunMrhHCSQ43cSWswf/AEaiESZYFqWGdmhdGTyKh8i3VWU+D1+ZAi8qBpEt9wgkMNtPENeN2IQC43ToX1JVYE3YmMZr41Hia7DsMk+0aSPIIa/aHWxyAsN+Uwy769Oc/bQHwpStp7xmy+YY3+UOORg2uT/SGscXyo8UiTt92i3LDDJPtqHc8U+6p8zbSvBn8IyRu5honZfLWNv4p9e0x83lKcgBQnavMHr/y8mWhfpRlHLS2XxA0y/h4s0HWl5oIFC/Dwww/j0UcfxebNm3H99ddj9+7duOqqqwBI5XSXXHJJv+seeeQRnHDCCTjiiCP6/W7RokV4/fXXsX37dmzYsAFXXHEFNmzYoH7mvwP8NVJw6qXS4DPm7V/lk4N7T2DgmeJASOLrMDG4F0QCv8zXPRjfYM7Da9LLMJLi1cHPM8hMfE0ggLTJwX1PPPsypIp00lIQ8rGIyutyzAs2cl6Gg2SSajwMIjA3OOqO5wRHWvgSWTyZJkY4zXyDHmeWr5lipCR/MN++QY18a30u0/mGE9r8gXHQ8LPm+4NWvkqw3Gvy8xbWOJ6p4kkwd/zVOp5lxZ55fAkhJftDj2JfE/whIouRkAa+QbcsnkTznrdISuLb7JJiWWJCZYce0HXN0wUXXICuri7ceuutaG1txRFHHIFXX31V7Z7X2trab8+n3t5eLF26FPfcc0/BzwyHw/jRj36EtrY21NTUYOrUqXjnnXdw/PHH6/lVDIW/JhtMx8JdCDUNM5yDKBL4SRygAM8gmZFgIIg0YcBSHIREGA4zyp5SHIKQZjZ8NQPzrQt4ECFeBKkEkOoF/E1GUMxDOJFR+Tp8A8/EhLwMeuFDE8IyX+PLiMIJDiFKmTkKDXhuyOtCL/GhRrGvCeiJZzBc4TuI2KvxMOglPjRRYfP4JjIYos58hgY8t8Yj+QPQYRrf3iSHMdDmD1m+MJXvRDXYCA14btAt+QMAU/lmM2WhAc8NecznG84Te6EBz63xMOiNm8u3J5HRxNflpOF1ORAx2b49iYwmfwiqYs88vrwgIpriEXQMPv4qYqST9wAOmMI3yQnICGKW7wD2Vfh2CYoYMZ6vkslpcqUBAo18FXFqIl8mBWRgSlm8HtC9YcTVV1+Nq6++uuDvlixZ0u9YTU3NgB0v/vSnP+FPf/pTtehZEgzDqMF9rLfTFPEUzXkZ+uSyvGIIuhmE5eA+0duJQN2oAc/XA71JDrXyy8XpGyST45WCjSCVgJjo0Tf9WgS9SQ7DNAZztbIYkYL7sN7UCiKczGCUxuCo1uvKBvcmlu0drlGMhDyubHBvVqYhJxOpVewBMC9zmpd5Cg14bjCXr0n2zcs8lST2wrryKob8TFlowHMtwTdRgtjzMojEzPeHksRp3Dz7iiKR/MExuD+4GQfcDG3q86YEyzUa7KuWcYo+STyZwDecUMrKBrevwreDd8tiL6wvuQJQMjmNziTAQSNf8zKnvYkcvhkMOp4dLDAjbrShATG5vW8yYs5GgtFYBCwl7S3CDlJW5nLSiMplI4mIORsJhmMpKZMEaJtZloONVNQc+5YSzGXFCEBM2+ROe5lWyMvkzNSG9SVWBL3lBvdmipFygnszxV4JZXBmB/eRVGn+YKmyyEH8QSqLNHnNSDKjWewpmXQA5pZpafVfefIKgDllWikOhECz2Msr6zUluJfihnoNmSc3Q8PloE31B2UD10ZGXiKhQeyZuaZMEaf1jqR0YKCyPY+UH2nn5KZNJtg3y1fyB2KLJxt6IuGQxFM6Zo4YifXKG7iCBlyD78MRp6X2w6moOXzj0RxRMcjL0M1I+0oAQNIkvtFYFCwlb8hWwhqXdCysM7PCCMdS8EMerDXMLGfFXlhfYkUQSfKa14xYYo1LissR/1r84eApKwu6LcIXJdhXaWhwEPANunPX7JlUtlfK5IrHZao/xNI8eJFonmyr8ThzGrSYV/ZUSw8eLAN9Mukm8FXW5NRpCO4pisqfrDDDvnJmpJ4e/Hnzuhxw0pSpfCNJSZxmGzCEip5rpTLDkOq/5m8PVA3Y4smiSDkkMZKJmZNpSMgZrzjl07TvTVLla44YUTJ0KYoFnAO3tweApCxOMyaJJ0VkiqAB18D73rgZGlFKehmmTcqUZeI9oCkiExpkAXvOTC0XN8e+iUQMbkWcasnkmBzcRxPpnGA5NOC5lsjklFhWFjE5U9ZbSibH7TQ9E1lK5tTsMs4UJyDNi1n/Hex585qbOVXKtEKay/Zcpto3GyyX4Q8mZcoAaF4jW+NxmusPanA/+PhLUZTp42+/ssgB+PpcTtAULOEPWsezgwW2eLIo0k5JnQtxc8RTWg7uE7S2DS0z8i7xvEnBssI3qZFvyimdx5llX7m8MenwA/TAjyFFUUg6JH8wS4zw8bB0f5oddN8mr8uBGKWIJ3Psqzw3WsSpFTJlXCKiWZzmZZ5M4ptIxLPiVEvZnsliJJrToEVT2Z6JmUhCSH5Z5KBle+YGy4oY0RochUz2B3UmXGOmN2Sy2CtVjARN7h6qiL2DRfwrZXtaJ1fMFqeK/wbJ4JlemqZM9weFb0Deescu27OhK3g54BNNCo6UjFfKMXjJHgBkGOkBNouvEqSnnVrFniRGxIQ5wb0igjKa+UrnCbKIMRqCbCeOGTzlTlGUKk55s8ST7Ic8ExhUnOaWRQom+YMi2gQHCzDuAc/NKzM0SYwQ+b4EFMAO7BP5fI3P7BFCIKSimsVp0ORMZCzNwyFm4KHkPei0tII30b7hZAYURM1lpyGvuf4QldfkBErJnJroD0oZnF9DsAzIYs9Evr0l83WZWnaqiH91X81B+AY85pbJKv7gU/iWWllBiI7s+kPxB6+o+INdtmdDR4is/ACbFBwJCTm41xAsA4DgkvmaJJ6UoFcrX94liyeT+IpJadDVIkYAgJP5mpUZoeSXBO8a+MWiICtOw3pRGhAKX2GQwB5QMmVy5tQk8UTJz7n63A+A3OBeMNkfRLZmUHFqdmYkxYnwyhtoE6dbkzg1uyxHyZJJ4nTwNU9ml5X5kJL2+QNKK4MzKZPDgIcHaelAKWWGpnVXI9lguZSyXhMzZco+kSVnckwP7kMDnp/Hl4sDAqcju/5Q+HpEbf6Q2yALRATSxu7FqYg9jyDf18482dATouxgdNqcNRhK0Msx2oJlIgeplEl8lS50iigaDCIbApANAo2GwlfQECwDOeLUJDFNpaX7ihrECJAjWkziS6t8Q4OeS1GUKgrNEnvKc66lpCHAOtWZTzMyp2legJuXXoSUhj07coMNM8R/JKV9fRagNLgwsbVvkkMNJQVGlDuoKXNqZrAczbWvgwUYz4Dnmy5GctfrAYNmTvuJPYOD+0iShx9JzeI0r9ueCcF9JMnBCR4sURoEhAY8P89/iQBkYvoS7INwIgOAwCOPaVrsq3QXBmD4M6eIUzcfkQ5oKJtOg4FAS80jjH7mFLHHynztsj0buoL2SA+EMxMxh4A6s6wxxSoPOA6T+CoiSOvu1UROHTsy5ognukS+ygBJp82xr0O5r8aBT8mgmCWmFT+kPNrsq/g5ZUIwxwsimBLECE1TOWLanG5PSqc9yhsa9PygOyv2iEllRCpfrWLPbL4aO+0BSmt188py8tvAD843lBvcZ2KAwOvIrj8iqaz/gq0BaMeA5+eVnRIByMQHPL/aiORsAA+HC3AOnDmVyiJ92QMG+3AeX0BTmWwKLvCUvO2owXx7Ehx8SIGGIB0YVIw4IYJG2mFO6V6vLE4ZQel+Wzvg+VLHPUqtBjHcH5I8AAKGUzJP/x6b5NriyaJwyA+EizMnWFYzXhqDZdprLl9HqXxl+zImiT2nLNroQWa5VMjnOU0Se4z8d1X+zoPCLZ3nNEHsiSIBWzLfkHS+CWIvmrNBrsOnja8ov4DMyJzmZnIoDc+b00GrGWEqFTalLCeosfkCIK0hUjINVCZqfHBfQqc9oE9ZjsgBXPFN5vVAJMlrXmwP9FnjAhgezOVlyjRMroS8DJJgwUEJ7sP6kSuAfv4wSPfbGg8DETQSlDnZ0zx/YIOaxClAZZtTGcy3N3fPL5oBGO+A5yvtv5UOw8b7A58vTgeZ4Fb2elL5Gm3fJAcv0qCJPI7a4smGnmDkjWmV8hjD7y8H6VpmlgHAKQeprEniyVlisKwEqS7eXL4OrXxNFKeEEDXl7tDoD0rmlOFMWHCfye7x5NRoX0o+z8lFzJm5l/nSg8wiKqA8Ct8oIAq6cSuE/DbaWst6ZbFnSnBfmhhhnQ5wTE6jHBNmlksRezUeBgmw4IgcpBocHEVzMw0a7BvyMhDgQJTI5X0mBJ+l+K8S3EdNKo2MpEoTp0E5uFc6nhpu3xLLZGtUvsreamF9iBVBOJnJNjvxhDSJUyCHrwliRPUHVwBwOAc8X/GHBG2OfXuTpYnTgwW2eLIo2IAkntRFgQZDKSPSGny6TObLKnx9IU3nu2Tx5BbM4auIYkZjpkE5jzWBb5IT1M5JjK9O0zUOlW/c8OA+ksxuOOvULP6l8xwiB3BJnZgVRm9S+wa5CvK+l+FlGJzmPX0UMJ4AeCK/bkwRI6XZ1+v2IEbk8igTgo1S/MHN0GActGkd7PLK4DSLEZjWMTJSothT+PaatDGqJE5LK4sEYFoTkUjuBtol+EPUJP8N52aeSuFrojgtdXIFyOVrnH0zvIgkJ+T7g4Z9Qw8G2OLJovAE6gHktM80+v5KcO/XFty7ZfHkM0k8ueVOLqxfW3CfFXtxQBR141UIKU5Q/66KSB4MLvnvwJCM4cF9blmZVn9w5YosE2qste6Ro8Dtq8kJ7sO68CqGPL4ay079Xg/iRN5vy4yZxBI3PKzxukxralDKBrkKzOy4lzdTq8G+FEWZ2nEvvwwuNOj5bsYBN0ObtldZXnCvqcxQCj7DpokRvqTnTQmWe0QTM2VlBPdhk/xBer9p61wH5Ipp4/1BEEne+1hrWS8ARGB8pkzdILfE9/HBAFs8WRS+GkU8JUAMnrkHoLb2Zf31ms73BKVg2QXjZ+4FkcAvizZ3QCNfWbTQIIDB61xyMyOsVr7+EAQiz9iYUXNfwhoXAPD7PEiYFNznL2APabpGWodh1sx96cF90MQOa3nBkcZMjpkbYZYqRgClCYMF1oyU4A8Rs/whmZt5Cmm6JuRxmSZOoyX6r591wkFTprVXLzfT0COaUxZZalmvIk67BeP58oKSGdGeSVfESI9o/PgQ7StGSsiUhU3wB6XTXjObkg78m3TaA2zxZFkEQg0AAJoiSETDht6bEAKfXKaliKLBEAjW5gT3xpc1BOQyDK9GvkG/H0nikn4woYwou8ZFW/AZ9ORuJGjsuqdIiivp5QIAgdxF7GaWlWkM7vM6lpkxE16iGAl6nKZt3Jkr/ksL7k0Sp8nSysoApcOaed20SveHHLFnhvgvy3/N41uK2KMoytSNniMllnH2z4yYOf6GBj1f4duliifj+MYz0sR0Kf6rrCHqNoGv1LkOqHfKYqQEMd0tGu8PinhqYhTx9O/RLAKwxZNl4fZ41OA+Fu4w9N7xjKC+vP01DZquCXpZtWY5He3SjVsh5M50OTWuyTFz5r43ryZcWxlcXgcwU7r7lBgcuZ2mzdwflGVapZbBmcg3UkYmp8ZEcZqXedIq9ty54jSsC69iKMcfgm6nef5QYkMDQJ5cMTGTU6r/hkzMnOZnekODnu900PCzzqzYM9C+KU5AmhdLKos0s2wvlpbESK2jdLHXwZmXyWlilD20tIu9Ll5ew2mgffuJJ7tsz4beoCgKUbmbS6LXYDESS8BPSc6udU1OgM2+vBMRY/mG45nSy3LcWTEiGLwxajhR+oL7vHbEB0EZXNDM4D5vAbs2cZpfVmbizH0JYs+0TFkZ/nBQi1NTxZ7WyRXzxEip3fYAIGCm2CujLDJgkj/wgohYunS+ZpXJRlOSGAmV8Ly5GQdcTtoUvnFZPNU7lD2TQoNeUyOXGXaZULanrCFqKEPstZsg9iKyeKovge/BAls8WRhxubVkKtpt6H1jvdn7adlUEpA27lRadyYjxvKNxiJgKHldWBllZUbbNxJPIkBp231dQdDM4D6RKanmHkCfBexmlI2Uxjdv7xlT1oyU9nLJFyMmlJVVFMyZuGlnKWvKrFAWeRD4Q1lixKTxgRBSltjLnWwzkq+SGSmVr1n+oAT3dSWIEcA8vorYq6O129fvcoKmzCmLVDI5tSXYN+iWWpkf4JTuoUaWGcp86dL84WCALZ4sjKQsntIxY4P7ZKQTABCHZ9A9BPKuk/lmDOcrZbp4ODTvIeBy0ohTingyNlOWyrWPe+AN7hQE3dmae6Ptm0jE4KK07b6uIOA2p2wEAKLJFIKU9rIGQMnkmNQ6OZkpuSzSXL5llHF6nCaK09L3pTLTvvkNLrSWyTKmlRmWs+ZJKisz3h/iGQEiQcn+kMfX0Jl7uayMrmBNpJGZETlYzoqRUp43E/xBFqehEvjSNNVnDWdYJ3b9oYqREtbAKWV7Zjxvitgr9Xk7GGCLJwsj7ZQCaz7eY+h9lUyMkvnSfJ28g3Umbmxwr6yxStCBkvYQUHbc5gwWI5z890zTHsDBaLrGzdCIQRGnxvqDYh8RDsClzSdyGzDwCaP5hrM/lBBsKDOfJGks32QiBpaSd18vJ5NjtDhN5IrTkKZrTO22l5s51ZxpMKdMixBS1pq9XP81eo1LhhfLW6Nlgj9E+gZzmjNlTlOeNyWTU1tigxY/a06ZbETO5BwsZb1KZu9gKZtWxEgp4xnjoOFzOUyZXMny1d4K/mCBLZ4sDM4liSfB4OBIyXQpYkjzdYzMNx6uNqUBwcv3SzlL5KuIU4ODe1FeY5Vyass6AdIaOOX78Qav0VLul3ZqF6e5a+A4g8W/8rxwDq9mcZpbRiQmjS17UtbciZR2cWpmmZaQe79SWpWbxDedSpQsTs0q20tkBAiiAD8qEafGlz2VWhaZv+bJ+LKymhLLIs3qHqqIvVLLOM0qM8wGy6Wu6TWne2hM9t9AGQ1wzPAHxb7+UsvoTebrE+19nmwYCEEWT0bPLAtKZqREMcK7pPONnrkX5ftlSuTLMdL5osFiRLEPVyLfjMrXaLEn82W086VpSvUfwWDxRGS+vEu7OPUyDrWswehMr/IyE1xBzeJUKtOSykZEg8cHZTwSnR7A6dJ0SS5fI8czThDhzEit/UkJ4lQqMzS+LCea4hFAAjRFpAOllO2ZwpcDiwxYSgqStJf1muMP0RQPCiL8JW5l4GedppRxKmJP2VRdM1+TyqYVsVc6Xwa9JvBVMk/KPpHllcn2AqKoB71+UPxB2YezrDJkPgVwKT3o9YMinkrlezDAFk8WhshKjkYbXOaiiAmuhOATAEQ2BACgDJ5ZVu7HMaXxFVzyg2ywfZX7ca7SBhKekc4nBttX4cuzpfFV/h5GB/eUvOmxUAJfmqZU8W20OFWeb7EEvv6cmXsj+RJC4JDtS0oowcidqSUGl2nl1dtrFKdmlUXG0jl8Ga92cWoS37w22hQNuLRNsJjVbS+SlPYEpCGL03IyZYaKEV4Sp8hIB8opMzQ4uKcgwiOWVqYVyM088UmAT+tDsA8U8aQG9+WUyYIAaWP2XuyV18C5eUWMhDRdF/QwiMIDAmUvznD1yRWAkplmS+R7MMAWTxYGJT/IjozBYkQOjvgSxQiRgz8luDIKKt9SxZ48C2K82JMGWpEtUey5zRHTtPxiICWKJ14RhwaLJ1rxv1LFnuI/RttXfr61drYEpDp2Zc0eMXimVikZoTRu8AzkB/dGZqajqWxzi1LsK615krNUhq7BEEre4Bkwb5+naO6Gs2wQoLWFFH62T3BPiE4M85G34bfTDThZTdflZRoMDO7zOkWWIE79bM4mzwYG95EkDz9SWXGqNRPJOvODe4PGtHiahwscGCKL0xIykRkw4GjZfwx65qTMHgHLl54pI6DV6hWj7KuIUxdnZ55sGAhaDk6cXNzQ+1JpydFLDe4Vvg4uVnVOA943Ld2PsKWVwSnBlEN5sA2Cap8S7UvJ59MZo+0r2YfS2BlQAVH5GmtfWrYv5SlRTMviiTKQb4oTwApScESXIEaAbFmvkXwjKV5dj0OX8CJknTSScndLpI3jG0vzOdsCaPeHGi+DKJH2RSHpqGHBfSyVw7eE8aHGwyCqlOVwCUDgdWDXH5EkjwBKt2/AzaibqoOIQMaYd1we3xLs63c7EYMne8AgH44kOfgVf3AFNIvTgNuJtCQLpANG8U1x2fV6DhfAuDVdF3A7QUAjRRs7RkTT2fEMgGaf8LOSXdMOeYLFQPt6kQYFOZOouVuv1DXZaL6xNA8HBDiE0rrfHgzQXTzdf//9GDNmDNxuN4455hi8++67Rc9dvXo1KIrq92/Lli155y1duhSTJk0Cy7KYNGkSli1bpvfXMAVOOZhyCcYGy0pwT2lcH6DA6ZXFHm8wXzklTJUonpxeaeAxWuwpYo12l8bXIYsBh0n2LZUvLQ/stIH2FUUCRraPo0Sxp4hDh4HiNJoTLDtKtK/i70aK02iKywb3JYwPFEVBVPnGDCsjiuUGRxpn7QFpLxclWKZEXlonYADy+LLa7Rv0MNLWEgoM8olIqk9wrxEBtxMpuMArIYhRwXJucF+CfQNuJ0TQSCg2NiqTkyrPHwJysJykZYFqitjTztfP9uVrjH3jaT7Ll/ECtEPTdWbZN547PlC05q1ZFL4pg+0bS/Hw5YrTEmNKK0NX8fTMM8/guuuuw69+9SusX78eJ510EubNm4fdu3cPeN2XX36J1tZW9d+4cePU361duxYXXHABLr74YmzcuBEXX3wxzj//fHzwwQd6fhVToAT3rGBs5snBK2sESgvmGK8i9ozlq2TmqFL5KuKUN5ivfD+6xOBeEdOM4XwTeffXfJ0s9hgDxV40zcNHUnn31wpFjDi5mKFlRMrLpdTMnuLvtJAG+EzVuRWC9DKUhUSJkxV54tsggRpP8/BRpfOlaQpUbrBqYHCkBhsl8A26GXBwIkWMzTREU1xZ/hB0MwAoxIkiRowSezx8VOn2VYJ7VaAamckpg68SLBvPN1fslWBft+S3CcpYMRIrk68qnszgmztZoXENp1/la2xmTxJ78vjgYDWv4TwYoKt4+uMf/4grrrgCV155JSZOnIjFixdjxIgReOCBBwa8rqmpCc3Nzeo/hyM7G7B48WLMnj0bCxcuxIQJE7Bw4ULMmjULixcv1vOrmALWJwWrbjFh6H2V4LzUmXtFPLkFY/kqwX2pfF2yfY0Wp4zMl/GUFnyawTfFCar/Md7y/IERkoAoVJ1bIUSSnBocOUu0r0PmS0GUSp8MgMRXfrmUOCuX5+8GiZFYXnBfGl8X60WGyGO5gWUj5czcA4Df7VJL9wzlW4Y/uJw0WCeNqNHBcjInmCsjM2I8Xy4bzJWUKZOCezPsq4rTEvxB4Rszwb7lTFYo/hAz4Xkrx75ZMW2weMrlW8LzppQZJijj7CuKBPGMkOMP/z5ZJwBw6vXBmUwGH3/8MW688ca843PmzMGaNWsGvHbq1KlIpVKYNGkSfv3rX2PmzJnq79auXYvrr78+7/y5c+cOKJ7S6TTS6ewCz0hESllyHAeO47R+Jd2gcOjLxSnP1HpJwlCeSiaGdvlKum+Wb9xQvqy8hwDNlsfXTRLgMmkpDa4zRJHALcYBB+Bw+0vjK4sBJ+FAixlDbNwdTavBkaNU++aIFy7WbcgeD92xpLqmQXB6IZbAl2G9EAgFB0XAxbqAgP6zZL2JdJYvUxpfD+tCnLDwUWmJb5FW8sXGl3IQSaTVsj3B6SuJr491IAYP6hADF+8GvE0V8xkMvYm0Kp5K9Qefy4FoyoMAkuBjXSDBkXrRVBHJ4SsyPggl8PWzTkQ5LxqpCPh4N0iZf+9S/KW3TL6sQ8rsRokXoFAR31LQm8ighlL4ejXz9ciRUkR0A7SBfJMZDFPs69JuX7c8R9ErSsEyn9CPb66/RJIZNJfhD6p9icK3xxD7RlMchsj+QFw+8Brv6WWkjI/CV4h3lzS2lANCJDHiL4Ovpy/fRI/ufKPqHlrSRCRx+cHnxNxWiL37oqT4Ri8SnZ2dEAQBQ4YMyTs+ZMgQtLW1FbympaUFDz30EI455hik02k88cQTmDVrFlavXo2TTz4ZANDW1lbSZwLAHXfcgUWLFvU7vmLFCni92mpGjcDKlSvzfk7GejAOgI8k8Morr2hO0VaKQ/gYQAFf796Pra++qvm69t4YjgfAIoOXXn4JhNbNvfLQwscBGti6cx82lMD3624OcwHQIFj+8jLwDs+g11SKFA80yzNHX27bjdaIdr5ftmdLyZxCqp+/6IEDSWCUzPfzr3djZ1g73937KaQJA5bi8NbrLyHpatCLpoqve4FD5ZmuL7btwfaodr4d+2nE4EENEnhn5SuIuYfqRVPFxi4K4xV/2LEfW5Pa+fZ2Snx9SOO9N5Yj4h014PnV8Je1ByhMkvl+vacNW0p43hK9NKLEizoqhrWrX0ePb3vFfAbDx/spHC77w/Z9HfiiBL580iHNhFPAB+++gc5Aq140VWzcTWOKHBztbO3CZyXwpQSHmmlY995baK/proiLFn/ZvI3GCbI/7GkPlzT+MrRDzeR88v7baN2if7Z3+14a35CD+31dUXyikW9aAIDsXk8bP3wPe7/Wv7R3X7sD42V/aOuOY51Gvt1pAHCiV3ADDmDTR2uwa6e2zoLlYuXKlejsdeBomW9HJIn3NfLdEwMAJ3p4BqCAL9a/jx17S6t0KAftPQ4cIvtDZ4zDGo18N4cpAA50pSWVuuXTj/D1gSEDX1QhMgIgiE74aYlvT0LAuxr5buuQ+HYkpRhy66ZP8GWX9me1HIRlH1TEXiRNsDqHrxHxS6lIJLSPQbpHt1SfgJ8Q0u+YgvHjx2P8+PHqz9OnT8eePXtw9913q+Kp1M8EgIULF2LBggXqz5FIBCNGjMCcOXMQDOr/gA4GjuOwcuVKzJ49GwzDqMcjvWFg67VwUiJOP+0UuDzGpD33rF8IAJgy9XgMmzpb83U728OAHA/NO+0bgLdOB3b5IITgy4//CwBw1LHTUDN5nuZr1+/uAfdXBxhKwJxTZgDBFr1oqmjtTaF94+0AgKnHz8DUifM1X+v5sgPRZz0IUEkwYhKnzP5unr/ogfV7wsh8fhcA4PCjT8CkI7TzjX+8F9HlHrDgMHPGsUDTJL1oqnhjSzucW6XBeuJRx2PCUdr5bn9rG6L/8qIGCZxywtEgw47Wi6aK9Pr98O6Q+I6ffAzGHaed70evbEHsEw+GUGGcdPyRICNnFDyv2PhSDg6s2QXfHonvoZOOwtjp2vmujH2K2JdSsDzj6Mkgh5xWERct2PrG1/Dvk/iOnTAFo0/SzvfZjo8R2y3xPeGoSSDjtV9bLta9vBn+A5IYGXXYERgxU/s9H9q1FrEOie9xU8aDHF4e31L85cUn18Mfluw7/JAJGDpb+z1v/2w1YmmJ79GHjwM5Un/7PrL7ffhjkn2Hjj4MzfO13ZMQgoUfrVLF6VETDsGUY/Xne9cX78CXlvg2jzoU8zXy7U1yWPTJW4jIfCcfNhqHT9OHb66/3PTxO2pZWeOwMZr57uyK4+7P/oWo3F798ENGYuI39LfvrZ+uVsvK6ltGaubbsjuMBzd/iIQjCAjAhDHDcNip+vLtjKWBD99W7RsaMlwzX3ZLO574egMybAhIAuNGNeOQ0/Xlu60jDnzyLzS4pGxOoGEo5s+fX9X3UbWhVKVpgW7iqaGhAQ6Ho19GqL29vV/maCBMmzYNTz75pPpzc3NzyZ/JsixYtv+sC8Mwlvrj9eUTqq2HSCjQFEEmGYMvWGsIDy9JAhTgq6kryT6hYBBJ4oKHysDBJ0Az+s7EAEAyI6hlI75gaXxr/R7E4EEtYmDEJGCAL6SElMqX8YVKumeNl0UMUhmRU0ga4r9JHmqZi9MTKolvrc+NGPGggYpI654MsG9aAGpVvjUl3TPkY9VMg1NIGMI3yRMMkf3B4a2BoxR/8LjUmXsnP7h9q+EvKZ6oZYYOT4l8vS41+DTKvgmOZMtOS+Qb9DDqGgwnbxRfUR0fHJ5gSXwDbiZr3yrw1eIvsXR2/HW4S7NvwMOo4sko+0bTQo4/lGpfJ2IZia+Dj5d0bbnILdOi3UHQGu9Z68hfQ+TgE7rzpR1Oia+jdL4hn8QzLLgBp5H2zd16oQS+fqkFe1iU/uvg9OebFqSmQPVOSTzRbKAE+8p8BdkfDOCbkpc51zszAN+fr9XibwAl8dFtkYfL5cIxxxzTLzW3cuVKzJhReIa0ENavX4+WlmxGYPr06f0+c8WKFSV95sECh4NWX4bJaNiQe6Z5AV55MHH7QyVdG8jZCyMZC1eZWWFE05y6wNrtL60bnN/tNHyBajS3W06J+zzl8nUq+ybojLxuOSV2V8sN5oy0b3ZBbYn2ZZ2G842V2Q0OkJ83g/03nq7Avm6n4Q0Y8vmWZl+/vHEnAGP5ljs+sIzxDQ1S5TUIAOTxwfDxl8tpeGLt8YEQkt+augT7OmgKXpfDUL6JjLTGpZz3m9pAxEB/4AURKU6sqJthNy+vizWAr7LhbK1T7qxahn27eTmJYADfuMpX7jdQ4vhgdehatrdgwQJcfPHFOPbYYzF9+nQ89NBD2L17N6666ioAUjndvn378Ne//hWA1Elv9OjROPzww5HJZPDkk09i6dKlWLp0qfqZ1157LU4++WTcddddOOuss/Diiy9i1apVeO+99/T8KqYhQXkRRALJWI8h94uneITkYMNTohhhnTT2w4tG9CIV61H3N9cT8bSAITLfUvd58rNO7JG75WTiPTCiiWY0xWFsGd19ACDAMuiUX4aMQR0NYym+7G45UrAsrylM9VaZWWFU0g0ukBfcG7fPiMq3RH/wu53ZjUbTxtg3mhfcl+q/OcFnyqB9RjLldYMDZDFCjLVvLHeyotTxIfd5M8h/o2XuQwRI/hCB8eNDOd0MAXlj36hx40OaF8GLBD66An+IK/bVn29MWhiGQBnvC9ZJg3FQ2fHMAL5xmW8l3fbCohdwwBB/UMRTyJEGRJTW3VLuttfFSw1PjPEHiW+NQxFPdrc9zbjgggvQ1dWFW2+9Fa2trTjiiCPw6quvYtQoaWFza2tr3p5PmUwGN9xwA/bt2wePx4PDDz8cr7zySl5d54wZM/D3v/8dv/71r/Gb3/wGhxxyCJ555hmccMIJen4V05CgfYDYiUw8bMz9YhHUUdJC2JL3yaEodd+DdMyYl2E8mYKXkh/OElrPAoDPlZ1ZTsd6DRFPsTI3aQSkYHmnUoYhmLBpZ4n29bNOdJgwc1/OJo2AFBx1m8A3UMbMJyDPhJuQyQmUK/bY3ODehH1cSvVftxmZSKECsWc830jueFaifY3OnKqZBqZ8sWek/yrBZzmZEUB+3uLGib1scF+6GKEoShKnKeP8IZqW1uLU0KVnTn0uJygqt7W6EWJPESMpgENpYi838+SCMf4rd9tT7Vvi+GB16N4w4uqrr8bVV19d8HdLlizJ+/kXv/gFfvGLXwz6meeeey7OPffcatCzPNK0F9K2M8aIEaXcTgANh8bdq3ORkvmmDeKbiOUMWiW+DGmaQkoRe4kwjHi044kEGEouBi7xZehjs92pwBtTthcrcxNMIL/siaSjMKJXpDQTXj7fXUaXEVVQVhZ0M9hpSllZmfZ1M6aI6XLtGzBBjFRUZmiwGFHKynxMBWWnBtpXzTRUUiZrKF8p+AyWEdwDxpdF5mUaBJQ3GZQ03h9qHCmAoORNtP0uJ6Kc8fYNlOG/PlbqCmhkWW88U5n/Wh36b2xjoyJkHFLxG580pgwjGZdETxLuslqjpxW+BomntMyXgxNwlt6KNSXz5eLG8M3k3qfEmXvW6cjuwG6QeEono6DlTGQ5mbKYum+HQeI/lYKHUmrCywmOjC17iueuwSirbM/MNWWl29fosshYBWWGZqzRiuWuiSwj05sN7vW3b5ITIBKUX7Zn8JrIWKZP8GnxTFlMFU9KZUXpZXtmiFN/uZMrBk9WxOTMU7n2NXqyIpuJLN2+rNMBl5M2hW85m/oeDLDFk8XBOSWHM0o8KcF9ki5v/yvOIfEVDOMbBiBnvMq53mBxmpFFRIZ2A7Sj9OtlvrRB4kmxiwgaKDET6WWyC5a5pDHiiU/mvBQqeBmSlDHBciadgkvNRJZRpmVwcJ9IZ7JlhiWv2TOnIUe5ZYb5YtrAstOqrNkzoaysrDVaxmdyAhWIaSPFaVxdQ1S+PxgrRpRNUSt43gycXIlVaF+jxV4//7X4+KuU7fnkTXJL5Wt12OLJ4uAZyeGIQcE9J9+nXDHCyXxFg4LlLN/y2lNknObwVURQqcjI4tTBG9MwQhHBnNNbciaSpimVr2BQ5kmQRY9AuwBnaavYgu5stzLeIH8QUuWLvUBuwwiDGjAI6Xj2h4rKyozhm0ql4abkXePLKTtV+BpgX0IIYplKy2SNX3BfSZls1MBMryr2yuheB8gNIwz0ByUz4iuTr5/NbuprpH0ryUxHjPSHlOIP5ZfJGvm8KWLPQ8r0h74NZUSxmvT6QRF73jL5Wh22eLI4RDmgojIGiaeEHNyXKZ4ERewZNFOrZBo4x8HBV5D58s7yxJMipo1qGCEqYqRMvpx8nWhQJkdMl8+XddJqWaRo0GQFUfl6S85EBtjsmgbRIPFE0jHpvxQNMJ6SrjWjoQEysez/W3yNSyIjwEW47JrIMhpyGJmJjKd5UBDLXkMUNHhNjhrMVdDN0NhMjuQHavBZcpmhsWWRin2zwX0ZZZy5/kBINen1gyJOvWU3PMkR03wSELhq0usHReyVa9+8rRdAAC4+4PmVQvFfty2ebJgBIvfypwwKNpSgsdzgXpQfECpjEN+Ukhkpk6/yAjXIvko5mMCUx1eQ+TKiMWV7anDPlJdyVzOnBgX3kO0rllEiQFGU+j2NEiPKcy2W4Q+5DUSM5ksYf8mZyNyZWiMmK9K8AFaQAgTiYAFHaRsy+lnG8G5aalYEKK/s1OAyLTXLAFQoRozJNDjBg0WZayIN7rYniRECD5GrDCop683EAFGoLsE+yGZG5KC8HPGv+IPIA7y+E4RZcVqefQOsE3G4swd09glFnLpF2b5lTAal4IJIyZN0OvNVxKkyBttlezYMhbJ3kYOLDXJmdSDKM8tcmcGyytcw8SRncsoUI8oARBvEl2SU4L68WRgiX8cYtEkuLc/ckzIHPuV7GiWmaU7hW559BYPFNKXwLWNWzumgwTuNy5wKIoGTl8VIGXyDOTO1RojpeFooOysC9N1HyyAxkrsHEV3a6zlg8Ca5sdzmIZSj5Exk3sy9IZmGSsVeTiZHSAN8uors+iOe5sGCgwNyeVUlmVMgPwurA2JyJpJVJvbK2EQ7ARZE6cuqd3AvZ3KyfEsvi+ThBEcbs/Gs0vDEpezxWHJDGQYAlZ1o1l3sSeJU5WtnnmwYCcotDUBO3hjxRCqYCQcASh4wjRJ7SlAulin2YDhf+T7lzsLIA5BRmScluK+UL63zi1uByrfMzj7EJWd6DRB7hBA4Zb6lbvCswMjMaTyTDe6pMuzLOml1HzijZu6VTE45fHNn7olBwb2/zMX2QJ81ZVxc90xDvO8GxCVmIvOCeyICnL7rOPMyew625DWReZkRAEjrL0byMpElvpMDbifSYMArO9IYkBnJE6dlNLggoLPrrfXmm+HBgAdD5ExkGZlTINth2BixR8AIZWbKZL4Zo/jKmbJy+VodtniyOBzyRrUug8STEjSSMsUILfNlDONbWWZE4evkjMk0ODJKsFxmZs9dAwBwGySe1ODeXdosogpVnBojRhiZL13uLJf8PY3InCY5QV3PUC5fpazXYcCayFiKR0DunFQOX4qi1IwVlYnpvmA5li6/7TeQv0aAEjkDyojK77QHKMF9ztpPnUvhKtlAG5DEXhIseCUM0TkbGc+UvwExIAWfImhpGw8ASOvbVCa/bX0ZmUi3lGlQt7fQ2b55mT3KATjdA1/QBwFWCu6TSvOnlL72lbZdyHmPltGAAcjhq/PzFk/zcCMDmpS3T6Rftm+Kln1fZ/sqmUilWuHfbZNcWzxZHC6vFCyzgjHd1ehM+WU5AOD0KHz1XYyogJYXPZY7c++QxYiLN4avQ74PXaYYccjXqYswdYaTU/iWZ19VTBuQ2UtygroYXJl0KBWO3DJZI8qI5EwO7SnPvoqopYU0wGeqxq0QKtnAVYUinkAMKSOqhK+DpkBcObP9BpS5VFJmGHA7wcGJFJHXdhmRaaiQL0AZ1jSiUn+QxAgMW1cWz5S/4TeQDZZjBmV78yYr2EAZmUjJvnGj7Jvms3smOd1lrImUxZOR9s3N7JWYiVTEXsKozF6/TKQtnmwYCMYXApCzSFBnOPjKMiMunyyeRGPEXqVlT4xPCj5Zg+zLyOLJWWZw7/QaJ544QQQr38dZZnCviD1GTOq/YDlnDYajTLHnkO1Lw4gyIiFbVlbmrJwzV4QbIUbUYLm88YF1+8ARoxYs8xVlGgDAx7oM24soluYqKttjnTScNGXYuqdYjv+WlclhjRUjlWxADGTLnozzB6HsDbSBLF+jxGk8zx/KF3txg9YZSmK6cvsaxVcqmy4/E6nYN2HY+JAjnmgn4GR1vZ/RsMWTxeH2hwAg23FHZyjBvaPMzIhLFnseg8SIU+VbXvCpZPbcYkL3TAMniNJ9ADBliidG5suAN2TBsvIyVDKKpUIR0wAMGayVDQTLFdMuTwACMWbBcrwKwb3XzSJBlAXLepeNCDkbYJZn34DbuKYG8QrXEAHGbowaSwv5M/clgqKoPntpWdu+boYGTeWKEf3LnioSe3KwHDHSvhWVGUriNEKUMkMDyvao8trAA9nMSJavEZmcyu1rlP/GUnxF4lQV0waMv4SQfP91lb4m0uqwxZPF4ZHFk48kdQ/ugRzxVGZw7w7USv9FRvd9D4BsJxent7zg3u2X+NIgQEbnfQ9yZj7zREUJYA0WI8pgXa44dXu8SBtURpQ3k1imeAp4XIbNhEdTlZfBSRvlGpcZ8VUQ3AN9N8rVP9NQuX0ZwzIN1SiLzN941gD7VlC2R1EUfEbyrbDM0McanXmqrGxPCZbDwsGReVL49opGZiIrL4vsNTSzV744zYp//Z+3JCdAJLkbUpe5ZtrCsMWTxeGVxQhDCeDS+mdz2AozIx4Dg3sgW87IeMsLNrxef04ZkXELassVIwGPy7iZrgqDDaDPxnyG8i0z08Aat2t8/sx9FcSI7gvChZzgvnz7qk0N9F5wn64sOAKkReyqmNbbvn0bBJSBvL199F4QXuGaHKDvxr56N4yoLFPGOGi4nHSOP+jfMMJXjTJDA8ffapRxhkVjGnLEM7lle+U1PAGAXoWvjuNDmheQEcScyatyGsrImUhR/0yk0mkvUOH72MqwxZPF4QsEIcplRIlIj+7388jiyeUrTzwFfB4kidQCluj8ciGEqF3n2DIzT34Dd2GPpiov0/KzxvHNL3MpPzNiZKYhUGGZVtBtcDBXoT8EWOMyT/GcsshKyuCM4yvAD2VPlCqIEYuXEQF9N541oqysMvv6WOP4VrpGCzDWH/LEXhl8PYwDNGXcmqdKy/aymTKDyvYqfB8r3QF7eP33eVL2TKrGmrKwEeJJ3kOrnimvDfzBAFs8WRyMM7uLdSIa1v1+SiMCVl67VCpy98JIxfUVT2leVGeO2DLL4AwN7isswwDyMw1670UUrdZMuIHdqSot2/MbGHxWp2yPMbhb2UEkptNc5ZlTQ8Vetcr2Dh6+PiPFSF5murzJQR/rMFicVlgW6TJmPBNE6X2cfb+Vbl+lLPJgeR8ra566DRFPkhipdcrrnCvIRBrDVxJ79YzM99+s0x5gi6eDAnG5FWYyFtb1PryQFSPuMsWI1+VQB7+UzmIvt5tWuXxzg3shqX+ZViVlAgDgN/TlXXmZVv7Msv5lT5UGyz6XwQvuq5DJyZbBGbiPSzXK4AzJNFShzJAYZ99KusEBcibdwG5w/orLZB3GlZWlqtBAhDWu4Uml3eAAafw1osw7JTdSVTORZfiDy0mDzS2L1NG+nCDmTb5W1uBCf/vG+oqnMveBA4BuTn/xpPANOeXMk122Z8MMKJuwpXXO5MRzXi6eQKisz6AoCnGZbyoerhKzwsid+aTLXKPlY52IyMGn3nz77YNRBvyscQvYY2muCnydiBqwQBUAolUoM/QZPHNfjTUjRjY0CFTFHw6uslMjg+VK+RrZMKIa9vW5jBsf4lUZfx2G8OUFESlOrMJ45jDEHxTxFKQryzT4c97HRmRyKvEHL+MARcEQf1DFk6N8+ypir5PXvyxSFU+OCvcFtDBs8XQQICVvasYl9F3zFEvG4KREAIDLW353lJScKcvoLEaiyUx25rPMmVqXk1b3PcjE9bVvfrBc+ZoRPqH3gnuh4oYGecGnEQ0YKszkGDVTC/TZx6UqZYZGZJ4qzZQx2UyZ7g0uKltwD/QtOzUgM12FTI5ha/aqkUl3G9OQgxAil/UeHJl0dY1LFRr2GNFQRqaLkBLcV7IGzgC+UXlNTk0FYo+mKfhdxjREUsSIyrecTBnbp4GIjvZVxGlI5WuLJxsmIOOQMjl8Qt+XYTKaE4yXuHt1LtIG8U3FcvhWkBZW+HJxffkmkkmwlNy+vcyXi5dxqMFnRm/xlOSq011NfhmKBnQrq5yvw8AyOK4qa8oMy4ykqtTN0MhukdWYrDBjDUYFZWVGib1o3poca6+JzLZOrsy+Rq3RimX6dCuzeEMOJfNUQx8c/hCX7VvjqPB5M2gNpyJGAhXYl3XSYByUMf5rd9uzYQVwTsnx9F6Tk5LXVMXhKXn36lxknLJ4Suob3Kdk8cDDATjdZX+OKk515svliskyZxJpmkJazkTq7Q/pVFzNRFa0IFx+GXJ6rylLcTnBXPllnMrLhaQM3LejKq2e9W/IEahw3w6ju8FVo8wwZlgZXE53wDLta5TY4wQRGb4aZWXG8I2pZVoV2tegTIMSLAfpyu1rjHiSOgIHKhx/jWpdH1MzT1VoeGKE2FP8gSp//KUoyjBxGqtCWaTVYYungwCCLEb0DuaUNVVJylPR5/AyX1F3vtLgmqI8Fe1ezaliT9/gnpczLxzlAhxM2Z/DOaRgjk/qa988sVdmJpJ10qo/6W1fLjezVcFMrdLdUtQ5WE6mcjKRFczUxo3MPFVhAbtiX2RiVWJWGNUoMwy4nYgTZY2AAXwrnKkN5PmDfnyVYM5XhcypyldHf1DK4AJU+QvuAdl/if72zc7cV8Y3T4zoaF+lbM9fcaYspyGSjnyzwX01yjj1Hx+UMsNKWsEDfTJlmShASDXo9YM6PlQ4/loZtng6CCAojqdza+qMHCwrmY1yITISX6JzmZZSFph2VMaXN0icKmJHEWvlgjPIvoL8+RmHr+xMJEVR6vcVdRZPYkp6eYmUE3CyZX2GL2dmWe/MXt7kQgVrcpSZe73FHp9OwEHJL9tKuqsZlClLptLwqcFn+Q1ajCiDI4RUp2zPoMyeGnxW2qrcZcwaLSXTUHmZrDHdTmOpvuK0/IYRRpbt+VB+tz3AwLLIvv5bSfdbhS8XB0ShGvT6QRH/XlJ5gxbVH4gIcIlq0OsHxb7eCscHK8MWTwcBiDzQUzrP1Cpla8oaoHIhqmJPb76KeKqMr2JfvYM5RewoZZjlQpSvJzrPhCvBPV+h2BPkrJXewb2ypopn/GVnIh00Bc5hTOZUEeuCww04nGV9Rl6mTHe+kn0JqLIzkX6WUTMNRG9/yMSzP1TQrSxG9M+UpXkRtMjlZCIrKePUn68UzJHKtwYwaOY+1ncmvBp8dbWvzLfSYLmvP+iUaVDEk6dCvgF3TmZayAB8pgrs+kMVp1XobqlmTgHdfEJZo+UhlYlTP+tEAqw0hgO6PXOKfT2iPAbb4smGGaBkx6O5+CBnVgZByYxUmMlRZvX05ssrwX2VxBOlM18lWBQraMYBAMQlX6+zOK0WX0Xs6V32VC2+apms3nzlv5+SqS0HLietZl71FiPK5A1hys9E+liHWganp315QYRTfp4JzZSdifQbVAaXV2IIVJR5MqKMM5bm4UEaDshrIisp2zOgrCye5kFDhAeVZSLzyva4hG6ZBkXsZcVImfZ15fiDjpkGRTy5xQozZa4c8QTo5hNZ+1aeKcuAgUDJk186jRFK2V6l9pXalVPgnXKMp7PYY0W7bK9s3H///RgzZgzcbjeOOeYYvPvuu0XPff755zF79mw0NjYiGAxi+vTpeP311/POWbJkCSiK6vcvlUrp/VXMgzzQOzm9Mw3KzH1lwSfc0mJGh858UTW+sjjVuSySUoPlSsWTIqb1tS+liJEK24wS1hj7OpQXQYUDtahmevXlq9hDFcNlQmTkv4+OwTIhBDQn862gc5LPZUx3wHhayFmsXD7f3G6GeorTWCqnzb7TU3Ymst8aF50yDXl7UoECyvThvAX3Qgbg09Uh2AfxTC5fVCT2YrmZBp18Ip7m4QIHBpV1Z/XJmQZRzTTow1dqGEHAipWLEQEOZGglG6lPKacintwK3wr8Acg2ndLTHwCAFSrL5Pj68dXLvpKadql8bfFUEp555hlcd911+NWvfoX169fjpJNOwrx587B79+6C57/zzjuYPXs2Xn31VXz88ceYOXMmzjzzTKxfvz7vvGAwiNbW1rx/bnf53dasDocc3Dt5nTMjcvApVDATDgAOt3S97nzTlc/cAwAtD0QOnfnSysx9hSlsSravQ+dMmYOXxUiFAx/FGpOJVD+/QvsqmUha58ye+vcrszOVCpWvfvZNZAS17TdVgX1pmpIyV5AnE/QK7jPZ9UOV8JUyDdK7heKTgMBXhV9f5K13qoCvP7esTMdMQzyvTXmg7DJZv7tPpkGvMqLctvUVZCKVTAMHWdzqNnMv5GciKygrAyipqRKgm33TAuBBGjQq686qiBG9+cbTPBwQ4CJKJrL87oBAdi9O3fxBFk9MhWLE75L4quvadSvbk0Q/w1fpHWdBlDe9pRF//OMfccUVV+DKK68EACxevBivv/46HnjgAdxxxx39zl+8eHHez7/73e/w4osv4p///CemTp2qHqcoCs3NzXpStxScHmkgUmcddAJVJTHikDNPLp3FCMUpmZEK+coDvd581WC5Qr6K2GN4fYN7JRinKhRPtOwPemZORZHAyccABqDcFdZXK2JaR75pXlBnPWl3peI0AKTkTCQhFXWeLIbcDVErESOAnDnlAUrkpEwDU/2JL2lPqspKXACpW2ReA51MFPDUVsiuP/I2nK0ks8c6kQQLgVBSc490tOys0ECoRidDQAo+RdBIgpVK6tIRwFdfJZZZxHM3TGbLXxPpYx0ApI60DInqlmmI5u6pxngB2lHW5yiZhiTlgZckdMs0pARkM3sULXEuA1JZGZCkvAiiRzf75olpoKJMGZAr9vSxb1TORDqIPHlTQVkvkCP2dMuUSWsi1Qn0f8OyPd3EUyaTwccff4wbb7wx7/icOXOwZs0aTZ8hiiKi0Sjq6uryjsdiMYwaNQqCIOCoo47Cbbfdlieu+iKdTiOdzpYDRCLywn2OA8dxWr+SblA4FOOiBMusmNCVr1KmRRhfRfeh5YHIpTNfOp1dg1HRfeTglRH05etUxI7LX9F9FDGjP9844JCC5cr4SsGbU4iDy2R0Ce5zgzm6QvsqA71DTINLJwG6+sNkOJ5RgzmqQr5Eti8FAi4R7veiGmx80YJwPKUGR8TlA1+JP7h8gBwDcPEewNdQ9mcVQ28OX9Hlg1ABXxfrQVp0gqV4cPEwUGHDl0IIJ9LqnlSEKd++LkoEQCEOD4JISPZ1lyZGtPhLJJdvBf7A0lLmMUo88FBpyX8D1R/TehMZdY8y4vKXzdcta5gY8SCIKPhEGESHMTiarBJfeeiKwYt6dOnCl+M4STzJYo+4fOD58jK0in2VdVp62TeS5LLjGc2AJzRQxn08TuldFqfk7UMSvbrwjaW4vLJTjnZXxDehbh+ij31jaQ5epEFBer45mlX5VuN9pBdK4aSbeOrs7IQgCBgyZEje8SFDhqCtrU3TZ/zhD39APB7H+eefrx6bMGEClixZgsmTJyMSieCee+7BiSeeiI0bN2LcuHEFP+eOO+7AokWL+h1fsWIFvN4KmyNUEStXrix4PN6xE1MBsEICr776qm73d0c7AAAHwgnsruA+rQf2YyakTJmefIV4NwDgQE8cWyq4z7b9nQCk+lw9+Tq4GOAA9nf24l8V3GdPqyT+XWIS/3zlZWmmr8rgRcAtL6bd3xHG5gr47j0gvVQdRMCrr7wIkXZVhWMuejPZtrP7O3uxoQK+HT2i+v8rX15WcWv5QuhKZfm2dkfxcQV8w72Umml4Y/lLSDOhgucVG1+0YE8sGxwd6Engwwr4ZtIOJAgLL5XG6hUvI8E2lf1ZxbAlTKn27ehN4f0K+NKiA3G4wSKGd1e9iqhneLVoqvi4k1JnwrviXEXjg4t2IAY3gkjgX2+9jl7vV2V9zkD+sn5vlm84KeCdMvkmeACQOsI1UcD7b69Et79wWX8l2LSTVjM5kTSwuky+B5IA4ESUsAAFfPjum+gItlePqIyvttPqZFCcp/BGmXy3RwDAiajgAijg47Vvo+2L6mcbUoJD5ZsSGawok+/mHgqAA728tA/i+g/exf6vqt9xb8eerD9kKBavlcl3W7vEtyctvYM/Xfcv7Nle/fdxe49DnWzjaRdefe31Qa4ojD37Jb5dSeBQAJ9/8gF27q7++60nlvUHAgqvrlzdb9K0kveRXkgktJc561q2B0gldrkghPQ7VghPP/00brnlFrz44otoasq+XKdNm4Zp06apP5944ok4+uij8ec//xn33ntvwc9auHAhFixYoP4ciUQwYsQIzJkzB8Gg+bWYHMdh5cqVmD17Nhim/+apu7Z+BvxD2vNh/vz5uvH4aPPDgAC0jDoEkyq4z/rPvwBekNqAzp83T5dMAwCs3vQYIALDRo/D9Ar4uj7ZAiwH3Mhg/jfn6JJpEEWC59Y9DgAYM24SJp5ePt/we1uAtwEaBPNPP0WXNqA9iQz++fHTAIAxh03CmFnl893+xlfA+9L/f3PmiYCvsRoU87CtI443Nj4HABh+yEQMnVM+3zXc50h/JmUaZp8yDagZUS2aKra0RRH+9CUAQMvowyp6rlfEPkX8KynTMOsbxwH1+ZNIg40vWvD+9m5EvlgOABgy8pCK+D7dtg7x/W54kcap048BmieX/VnFQH9+APGvVgEAGoePqYjvfdvWIB72oI6K4eQTpoIMP65aNFVE1u1Favs7AIC65pEV8b3ts9WIZzwABXzj2Ckgo08q6Xot/vL5iq9wYN9aAEBN0/Cy+fKCiIXrVqnrnqYffQTIobPL+qyB8N4LnyNy4CMAQKChpWy+ByIp/G7DO9JeZRRw/FETQSZU/5388lMbwHV/CgDw1Q4pm++Wtiju+Xytmhk55ojDQCZXly/Hcbhr45toloN7d01D2Xwbd/bgoS3rkHT4AAGYOulQHDW1+vZ9Yv+HEHq3AQBc/rqy+Tq/OIC/bduIjCsIpIEjJ4zF5OOqz/e2z1bDn5YnIT2hsvlG1u3Fi7u+gOCuBeLAEeNGYtL06vIlhODnH6zCkJw1kfPPOEP9fTXeR3pBqUrTAt3EU0NDAxwOR78sU3t7e79sVF8888wzuOKKK/Dss8/i9NNPH/BcmqZx3HHHYevWrUXPYVkWLNt/gSjDMJb64xXj46+Rylp8SIE4aFBl1j8PBqUzCuMNVWQXf41UJuKACAclAIxnkCvKg0teM8L4airi6wtmy0IZMQWw1V/TEE1xajctt78y+/p8AfCEhpMSwYhpgKkb/KISkRayZQKMNwRUwDfg8yBOWPiotGRfHZ653Jp7hycIRyV83S7E4AGLKBhBP77KTKLDXRnfoMeFqFymNRDfSsY7qSxHLot0B0FXMj64XYgSDxqpXt38IckT1R9od6AivgEPg1hYGsOcQlInvqJaplWxfVknYhmFb/n2HchfEpyolu1VwpdhpHVlMeKV+epj3zy+bPn+EPJLE4FKR0MnrxdfAbXqGsNg2c9tyCeJ0l7RDdD62TclIK+hTLl8a3xSnBYR9X3e4hkRDUrZdCV8vZJ9lY2/HXyiorG8GGJpHmNQOd+gV6r6yPJNVp1vihPAi0R9XxTja7X4G0BJfHTrtudyuXDMMcf0S82tXLkSM2bMKHrd008/jcsuuwxPPfUUzshRq8VACMGGDRvQ0tJSMWerwhOoUf8/ndCvXa5LkMWIt2aQMweG159zvY57o7BV4uvzepAm8kOjW3efbPckZ6V83Uy2Q5WO+2BkF1hXltkyYq+cft2/KkBuhzU97ZvtrlZZ9tufs3eSnt2eqtENDpD56rwxar4/VGZfIzZGjaWz3Qwrtq9b/41y49Xka8BGufHcBgEV8PUy0sSl7v6Q2zCiwm6RABAl+tpXEk+Vvy+U7nW9ojzZbXF/UBqI9Ar6+QMviEhxYn7DkzLhN8AflM6A/irFD1aFrmV7CxYswMUXX4xjjz0W06dPx0MPPYTdu3fjqquuAiCV0+3btw9//etfAUjC6ZJLLsE999yDadOmqVkrj8eDmhop4Fy0aBGmTZuGcePGIRKJ4N5778WGDRtw33336flVTIU/J9OQjIbh9od0uY/S/YvxVhh8ul1qpkFMRUD7q1+mBQAeMQHQgKtSMSK/vFlwunb3UYK5SrvX+VgHYvCgBvp1T8oLlivslKPsct9EQd/uVFXimy/2dLRvFV6GAOBnGd03Ro2mq2hft1PNNOhp30AVusEBijjV177xNI+mKvmDz6W//8bSPMZQ1bGvj3UinlGCOf3sW41uhjRNwedyICbqb19/VbovymKP6GdfQgjSAhCgK/cHReyFBVaKTvW0bxXFSFiQ1/HqYN94RtozKfs+rlychgVFnFafr7KHVr1TXqv2b9hpD9B5n6cLLrgAixcvxq233oqjjjoK77zzDl599VX8f/bePEySqkobf2+suVZl9d5AQwMqooKICCIqqNAsouICODAoo4KKDirj9ygznzOo3wzj6CiOzw/lcQQdZMYVRpGmpQHZ7G72ZrdZbOhu6L2W3GO9vz9u3MjIqqyqzIx7I7KwzvPw0FUVGfnWqZs3znvPe8454IADAADbt29vm/l01VVXwXVdfOYzn8Hy5cvD/z73uc+F14yPj+PCCy/EoYceilWrVuHFF1/EXXfdhaOPPlrmr5KqqaoSPgwb1Qlp78OnbWfypVj3KWZagwQb1fGYqDqb5XrIBZuJmY95smxMGiwpwWrRh2HMobNtgzBlTTRve7iIOFlOwr98QGP8zFMlgUyZiFbPAAuQKpLXAyN74vwr++S+IpScRtavtLkoUbIXz7/R/VfmeigKCO6BDoN9JVil6Yayvbj+zSeSSfciz4v+/WtqKnSVSN1/bdeHR4mQTA4P7mWvhzZyGqfVftDOcMyTl8nhZGRYif885uR0zA3Ik4RB8BzvAp3P0Hp5kifpDSMuuugiXHTRRR1/9uMf/7jt6zvuuGPW+33nO9/Bd77zHQHI5pY1SBbDqKFZk0OefJ8iF2wmmXy8TI6pcbI3jmatDPG9XALZSKSGKI4VTA3bg4eL1yhDRkVZzXKxXICsAeAny/JlWssEBUdMBif35L5quThYmGxPvgyu0nRxgCC8xeigUQkPQ0CwbC+6fmWSPUF4eeYUgDT/Vm0xMi1gMt7Blj0Bk8mppPVrC8bbSMC/ImXIljyyx4NlETJvU1OgKUQqObVdH7brI6+Kk0WW/QygQsp6qIVkxAYohGTKxlyTpU6kyPZYpmyBZgMeXrayPamZp3kTZ41gqJldl0Oeog+XTDEeeSKEoBHMEbBq43GhdbRoJkfLiKtpkEVOo7K9+GREDU/maFOSrKHpCpEJAJNrGhIYeihUtidviGBBFJlOAG81GswJke3J929eYKZX/noQIysD+HpI4PMmLJMTOayQuR5EySJNueuXUoqq7YrbH4zo/iv+eVENZGUjapBpiLE/EELaM9MyZHACa3LyBs+USfRvgLekxpfBcbK315UnM6xabFZSKVwP8+Rp3lI0S2GbtVOXFCzXajAJ+5Caufjt25sh2ZM0cbvhRE4S4z0MDU1BHfLJqQiZAMDJXrAeGjJrtOaObE+Uhh0IZHuyZXC2ONleIQG8jEwLDD4lr4dKcw7K9gTVEBXNaE2ZPFmZKNleEuuhKrAGLm+qUjMjddsDpZHgXsD+IFMGV21yWZkYmZZ0vKEMLv5hkKoQ5AxV6v7A/VsSkCkrBjJDmZ+3apB5Cv37MpXtzZOnOWKWwsRvbkMOGYnWUpGY3akAwArIkzS89QpUwqZXi0gLW6pcclprWMiS4OQopn9zeuukVhbZqwo9CW/h9ZuSyF4zijdu9zr5Mrj2TKSIzIhkGZEdJSMC/Cs90yBLtiexu6Wg7ovtNWUJZCKFyvbE+9fxApmWsO6WcmWcYWZE2PqVS/Zq9iQyImT/lZfZa2VyONkT0Z1VHhnh62FIib8eTE2BqpCIjF4e3qIAvINs8+RpjpijMfLkSSIjXK7WgAkImCPlqAHZk0RGmkEjCg8KoOdi38+WTPbsaIv5mGREUQgahD28pfm3UYdB2AmS2EyZpMxe0xHaHVC6DE5gJqeQSaKmzBMmi2zLNMiscRElM0xCtmcLlu1J7q7WVkMk4vMmEW9tSk3OYK/f6pRgWQReef7lmQYR3fYALkuXiVesf2XL0jneooD9jJCgW6RMGWdTHN5BNukNI+ZNjHk6IyO+pIe3FWSeGiTLHwuxzNHygCURb0D2LJJBjpDY97O1AuABnqTMiBuQBpdo0LSpA5t7tWZQU+ZJqnlyoyQn5smRqSmoB6vKbVQQ/7efanazCiXMRIrrXketKuKvrqnWaEYykXFrRoxod0BJ5KlhiyN7Sci0muJqRgqSa1yAAK9I2V6SsjIh3Rf5ehDv30oQzA0JCubypoYdUk/uGRkZUpqsQYCAmr2XEpDtFQTJ6POmhl3T7A+UUriuC8/z+r5/vdHAvkUVhdwQmt4KNmS+2ez7fgeUNNTsEprGCkDLx7pXJ3NtC/sWVeRyBTSVFYCxMNZ7HLzAhF8ZRtNcARANaDQAATEUN89heLPZHPOvuagNr+M40DQNzWYz1t+xX9N1HaoaP0EwT57miHl6sCFJ0rBbgfyrqYjpjdfCKyfYcIIMUVPJI37eCfA42ZNGnhheW80L+dDZQQ2cPLxsnTlKBnrMTCQhBK6eB6g8vH5AIikUkJiZyKgMzmuWpWySblNcJrKYaZ3c+1ZVipzAtprQeSZShMxQ8tDOatMR1l0tidbqNctDQROJV76MSBw5VaWOXuCyMpEyWZnrIexeJ7ChjMxMGfdvTuBhxeYO5N+2bWzfvh31ej3e/W0Pl71jCRTlM9hMHYAsBjZv7vt+Hzu8ANd9NTaTf2ff+POfhZKRg7MOLnvHEhDlE9hMbUBfFAvv544ZhucVWng3bxaK94gRBwe/YwmI+hFs9s8GzIVteCmlWLZsGbZu3Qoi8H27NUII9ttvPxQK8Z678+RpjhgNTsuIJA27G8jKeK1SXPONgIRJIk9crmarYvDyzJ6soXycNLiaGHJqkQxAASrJv5yMuHoBuoD7uWoecFv3FW1+8JB19Tz0mBtyVlfDTJkvScbJuyT6ig4lZiYy2l3Nb5alkKe2dSZCliM5U0btGhQlyESKkO1JzDxZrgfPc5DVeU1kzOAzI1cGx4J7KkwWKbs7YE00GTGSke2Jaog0pcaQUqHBMseboyLnGAZ43QbgufCJgs2bN0NVVeyzzz4wDKPvwHusbkMrN7FS0WHAAUoHAEb/z2VjrI6a5eBAJdh5Fx0gpPSB265KE2bNxgGKAQM2MLx/vEHPe2uwHK+Fd+EKQBXxlGe2Y6KBbMPBAeoeGLQJDO0HRDoi+76ParWKQqEARUm2cohSit27d2Pbtm145StfGSsDNU+e5ooFDyjFkXPy6TVZ5snRxJARvoEqdk3M/SYZl6uJwusHeIkkvFQweXKUDJuhIOnknt83JJUxzTOKgAuJeAMyosfXVxNC4GjsPlQWXpv7txCb7OiqAiuoMaSSMnv80MbXslBiBgZFU2+12rcqwmWRvk9B7CqQAShRQPR4QuSC5KGzbW3VAQFkTy45rVkeTDjQwTORg95dzQOBL3QodVuDAN8HBAaBtZCMBBkWkYcV1APcJhDzMxG1apOtgwzHK6TVfgSfXYFNsvB9HytWrEAuF++ZrzkERPORUwANBMhkASPT9/100wc8BaZC2F5m6oBqxMIYNbVBQTQgpwIaJUAmA5gx8BouLOrCVFQQ+IBpAAJKCbgpNQ9EI8hpgOYTIJttw+v7PmzbRiaTSZw8AcDixYvx/PPPw3GcWORpvmHEHDESnJapTryU9XTmCQ7uOV7FlRN8hpkGTUwxIpFMTnlQICK4BwAn6A4oDy9bD1QQXhqQMCJJ9kSC9UAFFaf6nDRKwouApFNBMzDC31sCXkpp+HcTgZd1/2IPUypDVmZParMf85SdBZ8S8UY7A6omoMULvKbMIaI0JsJ2q1hOS7IHiGmlzYNltwl4Tqz7Tbaa5SIHq/UNkbI9AHDEHrhVLRcqPJZlAATNgYvgFXwAwGR7FKbPyVN8/zrQ4BA+i6iFV0Sw7QefBwU+v2ms+6nB9kJ5OO37se432abijXd4pSoMsE84XrF1R16w3RAa4CWDRTNESQUH67eat2lNCdKeuiQyglD2JIiMBBuoJvjBElqQafBE4c1wciopuLfFBveewh6GsvCGGUNRbUZNueRUDdYZEYRXtkxW5fcVtB5k4rVcHxmfBctEwMwOTVVgB5kyIikzkhc04Blol+0RnmkQaJVmtO13fP+2ta7nmQaBxgbOBvfU87GDuanBvdg1wcYYBHiJEjvrkjc1NGGwTq+AcLxtA5MBIWSEQkGTyOmwxjORKhXXnRVozbYU7V/Pn0RGSLz1q0wmI1QwGQnwiiIjSkAeQrJHBZM9jleQfwfV5snTHDEtG5AnT07miW9QVJBMS81xvLLIEz+5F4NXCciT7srBqzrBA0DQwDg3yDypksipaLwkIP8yyLTvU2guJ0+C2qLyzKkEvK7nh59jkhGLV3VqwjMNtcgAYn7IENf434l4lvBMQ9VyWngFrIesrqJGojIi8Sf3RYiRaAGTyBMgPtMQHTgriOy5YIQEgHD/Vi0XRcL9Gz8TWTA1AAQNIkfK2TbQVzVj16PkDUZGGiSQu4lev5YrNhOZkYvXpxQqIoRh0MkIpSAACHhKR0zmicoie5STveC+KUjzkrCX52/1MjQty4IWUxJ5EinLAQBdMt7WyX38gb4AoGbkktNWZkQMXl9jwZEsvJrL7qsKCpYVnomUQE7rjhcGy2pWjH/DzKlbFy5rqNleGMwpGbF4iYRMQzUSHIlav22n6aIzDZYnrBMcwGQempmFS4PHpYTgvpV5iu/ffJBpaM3KEZtpaB+gLULGyYJlWR0Ya20DiAXildReXeQAYqCFty6J7NVtr73NfsxguWAyctDCK9a/vk+hIHLAJIg8+ZAlg6OtLBkQ27+y8fqU+Tc8ouiT7K1cuRJXXHGFKFjCbZ48zREzC8MAgCyVlGkI5ICiZE9aluHN+JLIiOBMg5ZjeE1JmTKe0VIEkRE/yDyZnvhMg+P54d9NDf6OcY2TGo3agGsLuSe3aHAkyr8kSmoknNRyvKLIqZEpwKfB40o4GRE3cJZbxsygSYMTdSmyJ7F4C6YurQlDm6xMwH6mqwpMTZHWrrwmeD3kg2BZ1qyyqi1WFsnxypr91ZbJEZTZAyBt/dZsV9iAcqCVKZOF16OTJHsxM5FhDZE0GRwimTISn+xxziQB78qVK/Hjq65sJ3sDVvMkyl6ev9XL0Mw8J0+NWa7sz7icSlTwycle2IFHsPEMhpIVhDfPguUMbQqvaQAAI8gQaYLw0iDzpMAHHLFrIirTEoVXz8kjI9WorEwQ+c9ksnBocGIm8yRcUHCfyxjS2j3X2jI5gshIRt4souh6EIZX4uDZWpusTBxemZmcosDMU2Fy5klwJofhFSuLBICKNP9GMzliGrQAaGUihX/eIt0iRZI9SR0YfT8i2xMQ2AfcqVUDJ1gG50czTwJaoKsBWfR4bkg0XkTwEkVoW/xBsnnyNEfMDDIjOdoQnmkAWrVJqiAZUTYgewZcwLVmubp3MwK8miCZFvcvAOGbte36yAYPFz0nJpOjaGYr0yBDRhTgFbUechm5mQaRMi0AyGcidSOC/VuxXBTD4F6MfwsS8dasSd3rBJjM4L7ajK4HMf7NR/HKkGkJlJUBk9uri8VbsVzkBa6HrK5CIZBITj0psr2yL4uMiF0Phcl4Zey/AtcDr3mq+EH77A7rgVKKuu329V/VdmE5DuqOj7pHen49nRR/tTJPwfM4OHz9r//6LyxcuBCW1R7/fPCDH8RHPvKRaX//bdu24cMf/jAWLFiAfD6PD51yPB59+EH2Q6Lg+9//Pg4++GAYhoFDDjkE1157bdvrCSG46qqrcPrppyOXy+HQQw/F+vXr8eyzz+KEE07A/ksX4Lz3rcKzz28N8V522WU44ogjcNVVV4Xt4M8880yMj4+H9z3hhBPw+c9/vu29zjjjDJx//vnhz1944QV887K/x6ErloDse2Qo2Vu3bh3e/va3I5vN4oADDsCXvvQl1Gotlc+uXbvwnve8B9lsFgceeCCuu+66af0zKDY/52mOWH6oBABQCYXTrIY1RaKMZ0bUnCDyVIiQBKsqdI4A0KqlEkWestkcbKrCIB57uAgiDUB7cG8I8m9GI6gigyE0GN7CEiH3BfjJp/hgroIsMnDkyMoEZ3LyQaahhJrcbloiMyM0C5AxOcGyJP8CkCIjEi0zLEjE2x4sC/KvIW92Us1yMSRwPRBC2HrwJJG9potlgrsZAvJkZVXLxRKBmVNO9ia8DKBi8GV7Ad7xGchew/Hwmn/8fez3YvZ8T1c/+bWTkTNaoTOvIQprIoNMzplnnomLL74Yv/3tb3HmmWcCAPbs2YPf/e53WLNmTcd7V6tVHH/88dh3333x29/+FkuXLsX/3noPiM9mf91w8+343Of+DldccQVOPPFE/O53v8Pf/M3fYL/99sM73vGO8D5f//rX8e1vfxvf/va38aUvfQnnnHMODjroIFx66aUYWbIcF3ziE/ji338Vt/70OyHeZ599Fr/4xS9w4403olwu4+Mf/zg+85nPdE1krr/+erz+9a/He8/+CM4752ysVHYCRMFjjz2Gk08+GV//+tfxox/9CDt37sRnPvMZ/O3f/i1+/OMfAwDOP/98bN26FbfffjsMw8DFF1+MXbt2dfkXScfmydMcsXxhGD4lUAhFvTKOYcHkide4mIKC+0I2gwY1kCU2qFUGyS8Ucl9uJq0DRBwZKWR01JCFgaocGZHgTI6psoLlkDwJtCheccEnGyy5mJQlBHOe+MwIDz4J5JAnKcG9PJmW6Mxe2yBXCZkc4TJDyTK4hQJlWsCkjnsSZJz7SpBF1uryMqehzFCAf01NgaqQyHqQmEkXSEYqkmR7rHW9eBnnuGuyCFXSuAhRxluVe5NqiLLZLM455xxcc801IXm67rrrsN9+++GEE07oeK///u//xu7du3H//fdjwYIF8HyKk7OLMYwagF341pXX4Pzzz8dFF10EALjkkkuwYcMGfOtb32ojT3/zN3+Ds846CwDwpS99Ccceeyy+8pWv4OSTT0a16eCcj30Sl33xM214m80mfvKTn2C//fYDAHzve9/Du9/9bvz7v/87li1bNqsfFixYAFVVkS8UsHzpIiwjHqCo+OY3/xXnnHNOmLU6+OCD8a//+q84/fTT8YMf/ABbtmzBzTffjA0bNuCYY44BAPzoRz/CoYce2oX307N58jRHTNdUVJBBEQ00qhMYXrJC6P2zfkBG8mJkZfkgmMvCRrNeRnaBkNsCYA0N8rQBECBTKAm5Jx/cOYKqlCGCIrsnAUBGpezhTSC3IFzgSXhNYnC/QLRsz5Qng6taHoZl4JWYaVgqQbbXKrgXL9tbLMG/8mq0POwvmpxKlO2J7rYHBP6tSdofbLEyQ0IIW7+OvJo9oTJDg0mnahJkka7nw3J9FFTx3RdnOgzK6iqe/NrJfd3/iZfKGEEZ+5C9gDkMLFjZ0+uzenvdER+S61HCnseR7nUXXHAB3vSmN+HFF1/Evvvui2uuYeRnukGtGzduxBve8AYsWMACJj4gVyWM4Dz1zJ9x4Wc+1/aa4447Dt/97nfbvnf44YeH/166dCkA4LDDDgPAyN7CxUvQbFooV6oYypQAAPvvv39InADg2GOPhe/72LRpU1fkCUDYw1AjvK26ggcffBDPPvtsWwaLUgrf97F582Y8/fTT0DQNRx11VPjzV7/61SiVSl29Z1o2T57mkNVJFkU00KxNCL0vpRS54GHIGyfEtZyhYleQaWhWxvm2LcSiwX1GENkrmBr2BpkGapUhssSxZrkoCT4JNxWJ3ZMsFwuFZxqiwZz41skrBGdy8qYqrZtWtelgH8H+LUr0b6Xp4iAJsj15mREZmb3oepDQ+lv0YYUpV7YncggxwMlpMNdHSmt1sf5tI09SaojEkSdNVZDRFVR88eu3ZjGiUBD4ecvpKggBKjPsv4SQNulct+ZTClNTkCcEOaIApg70cZ+oKTM0YHjDG96A17/+9fiv//ovnHzyyXjsscdw4403TnuvbLY9UuIDclXSqrOaTLwopVO+p+v6lOv59xRCwu/5Pp222x6/hv9fUZQp9V6OM2lGX/BjlVD2b6LC93188pOfxMUXXxy8p49qtYpCoYCVK1di06ZNHX+vQbf5hhFzyJrB0DhLMHmq261uWvmimBQRISQcciea7FUiBeGaoFbaLJhjG5ddF4u3KkFWZqqR7kkShjQWBMpcgOAkXGIwJ7xhhEwZnO0Jz0RKxSupYYTM7l+iG0a0NeQY8O51QCCTlYS32tbwRCBeabIy8XjzUbwyuu3x7oAiG7RIyKRXbVaLI3L/VRQSKBXEPy98TkbAB7jG714XyvZ4zdOkbr2f+MQncM011+Dqq6/GiSeeiBUrplcNHX744di4cSNGR0fZrQKyogWs5NBXvQL33HNP22vWrVvXk8SNN7gILSB7W7ZswUsvvRR+e/369VAUBa961asAAIsXL8b27dvDn3ueh8cff7ztVrqhw/M8qJxFKSqOPPJIPPHEE3jFK14R/nfQQQfhFa94BQzDwKGHHgrXdfHAAw+E99m0aVNbs4pBtHnyNIesoTAy4tTFnszVGk1kCDtBEJV5AoCmwjY/4XgtR3hNQ85oBRtWTTRe8QX3GbUlw/CaEvBKOAmXGXxKwUsTqMkRlRnJSJTtRQvChbb+5pkG0f51hLcqlyvbi8jgRNbAScqU1WzxDU/yhkzy7wn3b/t6ELd+LdeD7fnCM6ey9t+axcjTsCL686ZKqSnzuAwOLVlZXOOZHH+aVuXnnnsuXnzxRfzwhz/Exz72sRnv9Vd/9VdYtmwZzjjjDPzxj3/Ec889h1tX/xYPPciIxf+5+NP48Y9/jB/84Ad45pln8O1vfxvXX389vvjFL/aEt80CspfJZPDRj34UjzzyCO6++25cfPHFOOuss0LJ3jvf+U7cdNNNuOmmm/CnP/0JF1100RSCs//+B+Che9dh546XsGd0DCAKvvSlL2H9+vX4zGc+g40bN+KZZ57B6tWrw0zUIYccglNOOQUXXHAB7r33Xjz44IP4xCc+MSULN2g2T57mkNkqCzbchtiHYb0yHv5b1JwcALDUPADxmZx6vQYt0ACLergQQsLMnvDMU9MW3r3OVFuyPVtwZq9mexIaBLSCOSpcluOJz5TJ7AYnZQ6RKrHGJRp8iqzRktfQQPyQXE2ijFN8TaRUsteU1fBEPJn2fSqnFbyk9RDK4CR0X6xQ8f6tBuRpSHDDk7ypSRmazJNCoQyOxM88sfuRaYfODg0N4YMf/CAKhQLOOOOMGe9jGAZuueUWLFmyBKeddhrefNSRuPr/uwK6yu59xntPw3e/+11885vfxGtf+1pcddVVuOaaa6ZtQNHJJieeONl7xStegQ984AM47bTTsGrVKrzuda/DlVdeGV72sY99DB/96EfxkY98BMcffzwOPPDAtiYVAPCl//uPeGnbFhx17Nux+LB3AYqCww8/HHfeeSeeeeYZvO1tb8Mb3/hG/Mu//AuWL18evu6aa67BihUrcPzxx+MDH/gALrzwQixZIq6DsAybr3maQ+YEZMQTTJ4a1XEAgAUDpqrPfHEPZqs5wAW8hthgo1GNkAVBD28gIHu+eHJqRzNvgh7emgJUSJDZa5aF1pTVI5lIGSe1bqMCcasMqDUd8bI9iSfh1aaMYE6PyDjF12hJke1Ja8ghaS6VrBotW0Y3Qw3bJGZyigIbBABsfxiTINurOywwFC7bk9QAh2dyhhSJ61egfzle0YeDRUkNcMIGDOHQWTH5A0UBPJ/PeZo6dHb79u0499xzYZqzj2w54IAD8Ktf/QoAMFazsXWsjoO0PYBfAYiKT3/60/j0pz897esn1yWtXLmy7XuEELz5LW/Dpq07UVJebCN7M91b13VceeWVbYRqsh151DH45S334CB9FAVvIiSnb3rTm3DLLbcAYDVP5XIZQ0MtldOyZcvwu9/9ru1e55133rTvMwg2n3maQ+bqAXlqin148xqqOhGbJnU1htcXHGzwTEuDZIVtfgDgBJk90WSPyxY9qICWEXZfO5BxunWxeNvIo6CHYU5vyTBEk1PLqrcykUJbU0uSwUUzkcJOalUpNQIAr8EQLNvLRDMNEmv2RGZyZNbsEZmyPXH7g+36TFYmpTugeHLKg3u5sj2BNUQB3qKM/UHC4UotxCteJiuDnLYaMATPC0GZJ2WazNPo6Ch+9rOf4fbbb8dnPvOZnu/LyZ7CyZ4AmSHA6rRCvB3IXr82Fa8Y/w6iSSdPV155JQ488EBkMhm88Y1vxN133z3j9XfeeSfe+MY3IpPJ4KCDDsIPfvCDKdf8+te/xmte8xqYponXvOY1uOGGG2TBHyjztGBjEk1GguDbEkyeOF5fcE0OJyNWQB5EWUj2ROMNyJit5gCBHWVsSf7l5MZVTEBQJlJRCGxNTua0reYrOGCIa/mIDI4K9q8X/fwKCjaKph4Gy6LXQ7PZgCk6E2lIlO01HTmyPUmyyEpTwpBcScF9SEZkyPYkkL2QjCiia/bkdOOcmskRtx4qEmSR1UBmKGOIthTZXhjci6t5Aphsz4vWPAXvc+SRR+KTn/wkvvGNb+CQQw7p+b7eZLwCGlwAjOyFeEFDvHFtCnkSeLg9aCb1N/v5z3+Oz3/+8/iHf/gHPPzww3jb296GU089FVu2bOl4/ebNm3HaaafhbW97Gx5++GH8/d//PS6++GL8+te/Dq9Zv349zj77bJx33nl45JFHcN555+Gss87CvffeK/NXGQijBgsMieCTT6cxDgBoqmICT26+NLwBeVLFkidPZxs/FXwS7gd4HcH+9TT2+1PBwRwPvl1NEjkVjBdBJtbR8sI263ykG5zoTK/XZOvLJ5qwTCQje+xevmC8NFoQL0W2JzhzakczkTJke2Ln5NhutDW1wO6AEshpSEaEy2TlZE5DMiK4+6KszEhlCl6B61eCLJL7Nye6u2U08+/UpnSw69d45qkV3AsiI9FMDhBmn55//nlMTEz01NAharw7oELFZp5UBW14L/vHr2Djxo2x7+tNwTufeerLvv3tb+PjH/84PvGJT+DQQw/FFVdcgRUrVuD73/9+x+t/8IMfYP/998cVV1yBQw89FJ/4xCfwsY99DN/61rfCa6644gqcdNJJuPTSS/HqV78al156Kd71rnfhiiuukPmrDITRYCMljtjg3g0yI45gMkKDUyjR5MmTREZ8fmomGC8nN66grAi3EK9gssfv5+ri6skAwOO/v2C8nOz6AvGamoJmkIkVT/bY+vX1vLBMpKYq4efXF+1fTvZUcZnI6BwtkYcVlFKQ4H6UTf0Wcl9Zsr225hbAwGfKarYLHS4MwoJmsZky8WSEkT2KnIzMSLQbp6CT+ylkRKjMMPCvZwOuJeS+1SnkSaBsGpGDJacu5L4+T+CIJiME8EHCIbHTzU7q1UK8gmVwCmFYaYfZVHFsKt6Xb+ZJWsMI27bx4IMP4stf/nLb91etWoV169Z1fM369euxatWqtu+dfPLJ+NGPfgTHcaDrOtavX48vfOELU66ZiTxZlgXLam0W5XIQfDvO1CFfKRjHMBsWGgSfql0VitsNuss5al7ofTl5UkTjbQR4tZzQ+/qBfxWrIva+QSbAFYSX36NFRsTi5WTP18SuB18vAE0AVlns547j1cXi5eSRNgXjtTnZE4vXMwqAB2AS3m73l+mM2FVAY59nUXjNSKt92izDFXTfuu0iGwaeeTiuK+S+pkpbMk5LHN6xWiMkT1TR4FIFEHBvU0GLnNrVnvDOtF7Gq81W/RAAR8kIwZvRSIucOjU4VlNIVmCiZiEDO2wQ4CimELxZjbQyZdSHU58QQtTLdQsKfGQoWxOi/NuGF4BTGwNyC2Pft9Kw2f1F49UJLOjwiAaVunDqE6CUwvd9+DGyUF7wWh7c+0QRktXi7b8pFBD48H1XCNHhmRwiCy9RQKgH3/eE3Jf7lwTkkRIFdNJ9efMK/vdM2nzfB6UUjuNAVdv/Rr0836SRpz179sDzPCxdurTt+0uXLsWOHTs6vmbHjh0dr3ddF3v27MHy5cunvWa6ewLA5Zdfjq9+9atTvn/LLbcglxObbYlja9eunfHnzT2MNPj1UaxevVrY+za2bQYATNgQet89e1lQ69XE4h3dwWSfExbwqMD77p5gQYFT3SsUb22UDZ6baALrBd53rBYEOYLx2uU9AIAJi+IPAu873mCnW051VOh9aWMMUIGyBWwQ+bnwdUABnMoobhOJtzkBaEDVVXC3wPvWPfYg8OrjuKXDfWfbXzqZ5wOGVwM0dv/bRfo3OFn2GhPC1m/ZbkmemlTv6Id+rOm1D6VefdNNQrKGL9URNotwiImbb7459j0BYG8T4ck98Wys+d1v4Cu9ZQ07rZenxkiI1yUGVq+5JT5YAH8abw/ub7npBrgClBD37yahxJCCYPWtdwo5DX9uF0EdJnwQKKC47ebfwNJLse97/3aCPFoHvWv+8Mee/26dbOtLBB5U1lEXNu74/e9QNxfHvu8TmxUY8KCDHVLccuf6UJ4dx17cRgCoqCODIqp4YP2dGDrg9ahWq7Btu+/7NgLXcjJSqdRAlfhZOB5zs/UA1MpleOrsnfVms2bwq5IgM1St1uAr/f/+3LzgTMmjAd5KGZ4a/7425x4B3kqtDl/pfIBVqQhWdHRptm2j0WjgrrvugjvpcK1e7z7DKb1VOZn0gKGUTvnebNdP/n6v97z00ktxySWXhF+Xy2WsWLECq1atamuXmJY5joO1a9fipJNOgq5Pv1E++PtR4AGgoLo47bTThL3/XdvvAupAtrRU6H3/8LsJ4BHxeH+39Y9AA8iNiMX783oZ2CQe7/an1wEuUFy4XMh9+XpZsGwF8Lx4vI8/di/Du2gfofd9eOevgJeAnOIIve+dD9wPABhaJMa/3G54+hdADcgQW9h9KaVYfd/DAICC4PV7/Z9/C0wAJrXa7tvt/tLJxusOfnP/EwCAfGmJULzfefg3AACd2jjtlFWAEv9xtHlPDb976D8BAJmhRcLw+j7FV++7EQBAQHHaSccLkVQ9vGUcax79bwCAXlggDO9ozcY/P3xb+PUp73xr15mGmdYLeXwH7tjEWgqruWFheJdvGcf3n7oPDjTocLHq+GOBoX1j33fsvq2457nb2RdGHqe9+/TY9wQA9YmduO65R9AgWeRpHe9669HAwlfEvu+f//Ac8s/fBwCgio5TTn9f7HsCwMT9W/GbF55CU8nB9G2c8JY3AktfF/u+d1z/OPI7/hR+ver09wv5HO/ZsAU3bf0TbDUPuFW86fWvwRYri0KhgEym/zrRyngTimNxsRqKwyUhZLpZsVBxLFCiAtRDIZ8NlTdxbNSpg7hu2DCiMFQSkpGt0SZqrs3u5bso5LJhWUgc223VAM+L4B0GJpF/SikqlQqKxeKMcbssazabyGazePvb3z5lLXFVWjcmjTwtWrQIqqpOyQjt2rVrSuaI27Jlyzper2kaFi5cOOM1090TAEzT7NhfX9f1noMJmTYbHrMwzP7v14XiVp0afwOh9zUKJXZb4XjZ6QAxh4TeV8+VAACGJxavFvhXyRbF+iHL1oPu1cT6wWWyMjUj1r9qthTcvw5N0H1dz0fGrwMqoGbF4iWZIaAGqG4dRNOEZBpqlos8ZSfhanYIqlC8w8AEoFAHCvEBrX3P62e/s/zWDC0lMwRFKN4ieCmK7luAGb/bp+URFAjfH8R+3oiRg08JFEIZXn0k9j0bXivzJBJvqaDAg4o6NZEjFnS/CfR4707rpekCBQT+NcQ9L4bzLIipIosRVKB7vePtZE2XhutXpH+H8+yzVUcWedT78m8na7g0sh4E+jcX4CU5DGNcmH8bth92XqRaFrqAzzAADGUNAAzvQgCaZ4EQAkVRoMRoCuRT2qrHAaAoqpB9XQ0w8SYMBBREQPMin6Idr6oKIXtKMCm3hdcXhJey3z0gT4qiTmnixKV6/O+ZtCmKAkJIx/2tl8+bNOSGYeCNb3zjlNT/2rVr8Za3vKXja4499tgp199yyy046qijwl9qumumu+fLyYwcC5YzfmOWK3szJWhAQQR1yuGmZdn9TE9MsSc3NQjuRXUi4qZl2f0MXyxezQ3IU0asf9XgfrpXF1awTCmF7taD+4v1r5plJ3Ga32zpBmIaK7hvkRGRxn9/AgrYNSH3jM70UQTj1bORk05BRfc1y0Ne8IBRbmYmC5sGp6iCmjBULfEDiLkVMrrwpgY1y43M0BKH19RUGKoifLAvG0AsHm/eZOugKrgjXE0aXnbuLLrjXlXSesgbDG9dcEfDmu0K77wIsIYRQKsuUmTDCDXafEFQ5kPh83EFz07y/SjZI0JbqwPi8Xp+xL/AfLe9fu2SSy7Bf/7nf+Lqq6/GU089hS984QvYsmULPvWpTwFgcrqPfOQj4fWf+tSn8MILL+CSSy7BU089hauvvho/+tGP2to8fu5zn8Mtt9yCb3zjG/jTn/6Eb3zjG7j11lvx+c9/XuavMhBm5Bl5ylLRZIQFhiQjtruaKQkvJyNqVmxwpOdamT1RZARgmSxAPBkxciz41qgrrHtS0/HDgnstJ4dMAxDWnrpqt4Ij0f7VzAI8GjwVRQafQXBEBA3A5JbLmKjTINtkiZn11B7Mid0f8hI6wskK7gHenprjFedf0QNcubGOhuLJngxyyoPlFt7B9i/HWxE866lmua3DCoH7Ayd7LfIvw7/iusnmJ68HQYdXbWREYCc4NczkiO1e51EqfCYVMDXzFLc74GWXXYYjjjgiyOxF8PZITn/84x+jVCrFwpKUSSVPZ599Nq644gp87WtfwxFHHIG77roLq1evxgEHHAAA2L59e9vMpwMPPBCrV6/GHXfcgSOOOAJf//rX8R//8R/44Ac/GF7zlre8BT/72c9wzTXX4PDDD8ePf/xj/PznP8cxxxwj81cZCMsGsr0cbYgN7jkZEZwZyXDZHmxhmQYA0EO8gk/CA7KnCMw0UEph+uxeuuBMg5GLBAMCT+75SaImGG82k4NFA6Ww0JN7ScFnRhc+e6Y9kyMWb0HCYNSqRP+2zXIRuh6CwxoJeEW3K682W5lI4eshI2k9EPHroRXci10P1WZk/Qr0L8db8SVkyiTg5WSv7EvInAoemAywtQsAZcHkyaMUajhwViAZCUiCJ4iMcPMpbWVy+qx1IoTgf//3f9u+NxWvqFbl3ZPTgw46aEqX7LPPPhtPP/20ECyyTXrDiIsuuggXXXRRx5/9+Mc/nvK9448/Hg899NCM9/zQhz6ED33oQyLgzSnLBWREJx48pwnVEKMv1oPMiPBguTAp05CNXyMABJkhAFpQ8yPKsjmWaVAJZQ9DAQ+vhtOa46LnxeLNmSZq1ESeWOzkM78o9j2jJ5+KcNkTm91hoipYpiVHVlYIBs8OoS7sZLliOcIHYHIrBIN9lxCIzTRIku3JGJRbtdywBkMGXtEyLVmyPYBJtWRkymSsX11VYGhKi0wLlJWNCB5ADAAFg2eexMoiK00X+8mQ7QWyyLKfAQiEHgbx9UDNIkSV/4dkzwsy6aJke22ZJ3GSMp7JCcmIgBbcrJW3rEwZ+3+YKROBl987hn+z2SyyWTFxrWx7+U6wehlartAKvuuVMWH3zQRkRBcs08rnWpkG2hTz8AZaeM28YLzRTINAGREP7g3R/jVVSXglyp4kyFykyrSE4/WknNQCk4N78TJD8f5Vhcv2arJlhoKD5aotR6YFtMg0AEmyPRmZU9Hr15Mi2wtrtESv37b1ID7zNOFzWa+EwwoJmchxb5rMEw3UIT3+59s1qE4VcBpM6t7HPTqpftSAg4Qy7yCTQynFv/3bv+Gggw5CNpvF61//evzqV78Kf3biiSfilFNOCbtKj4+PY//998c//MM/gFLA9Txc+sUv4MA3n47sAW/AIYccgu9+97tT3v/qq6/Ga1/7WpimieXLl+Ozn/0sAGDlypUAgPe///0ghIRfh5knyiiAbTXw2c9+FsuXL0cmk8HKlStx+eWXh/ffsmUL3ve+96FQKGBoaAhnnXUWdu7cOelvwn1BccKHLsDn//Ff2358xhln4PzzzwcAnH766XjhhRfwhS98AYSQsOteJ9ne97//fRx88MEwDAOHHHIIrr322rafE0Lwn//5n3j/+9+PXC6HV77ylfjtb387xUeiTXrmad7EmWnoYaahUZ1AceE+Qu7La5J4QwpRxmVEJiqw62WYAhJPrucz2SKRg7eCrNBMQ83yUIx00xJphWDK/RIyLlQ2UkxCViY0WJZVMyJe9iQz+GTBfTAbR1Qmp+lioYRgDgAKpi5ctle1XOwnUWZYhXj/7iNBpgXIku15UmR7QECmLRmHK+L9q6kKTE2R0ODCkyszFHgYRCmV5l+e2ZuYTrbn1IF/6T3+eU1cYADw9y9Nqe9qIyMEIXn6v//3/+L666/H97//fbzyla/EXXfdhb/+67/G4sWLcfzxx+MnP/kJDjvsMPzHf/wHPve5z+FTn/oUli5dissuuwxeMER2+fLl+MUPvoFFy/bFuqdewoUXXojly5fjrLPOAsDIxSWXXIJ//dd/xamnnoqJiQn88Y9/BADcf//9WLJkCa655hqccsop4VBY3jDCDcjef/zgavz2t7/FL37xC+y///7YunUrtm7dCoD9nc844wzk83nceeedcF0XF110Ec4++2zccccdU9yjEU4up8/NXHvttXj729+OCy+8EBdccMG0191www343Oc+hyuuuAInnngifve73+Fv/uZvsN9+++Ed73hHeN1Xv/pV/Nu//Ru++c1v4nvf+x7OPfdcvPDCC1iwYMG0945r8+RpDhkhBHWSRR4WmrUJIfeklCIbkJFssSTkntzyhoYxmsFCUkGjNoH4I+OAmt16uGQKYslT3lRRo6JlDRIzOYYEGZHtYjHknITn22Ra4oK5hTJlZYJP7iuWi0W8Jkdwd0sWLIvPNOwvWRYJQKyMM1wPgv0rS7Y3pzKnUdme4Ex6VGYotIZIoozTEk/+CxJkhjlDBSEQKou0XB+uT1FQA9me0AYXLMiv8f1XkGxPlnHZnhuRwdVqNXz729/G7bffjmOPPRYAq/O55557cNVVV+H444/Hvvvui6uuugrnnXcedu7ciRtvvBEPP/wwdF2H5XjQdR1f+uIXsJzsBTIlHHjkO7Bu3Tr84he/CMnT//t//w9/93d/h8997nMhnje96U0AgMWL2SDkUqmEZcuWTcHLZYZbtr2IV77ylXjrW98KQkjYlwAAbr31Vjz66KPYvHkzVqxYAYCRn9e+9rW4//77w/eiQepJJVy2N72Ic2RkBKqqolgstuGabN/61rdw/vnnh6U/l1xyCTZs2IBvfetbbeTp/PPPx1/91V8BAP7lX/4F3/ve93DffffhlFNOmfbecW2ePM0xa5AcQMfRrI4LuZ/l+qGsISO4JkdRGNkDgGZFDNmLBkeiM09FU8fu4OHtNspCPhxVy8UCWSf3GRV7qOiaBg8rJQYbMrpTyZRpia4ZkVVgDUiS7dnRYE5GpkyCf+eSbM9q1UQKXw+GeBkck5XNJdmeK82/eVNDtSmh256EzCkhhJFTV5x/axZrAiVjPWiqgoyuoOZzsjcp86TnWAaoB3M9H0/tqGAJGcdSMs6GRg/v1zs4PTflW2Hr70jm6cknn0Sz2cRJJ53Udq1t23jDG94Qfn3mmWfihhtuwOWXX47vf//7eNWrXhXci5GRn157LX7+P9fhhRd3otG0YNs2jjjiCABsxulLL72Ed73rXT39Cko080SA889+P0466+M45JBDcMopp+D000/HqlWrAABPPfUUVqxYERInAHjNa16DUqmEp556KiRP3LSw+il+BdxTTz2FCy+8sO17xx133BTp4uGHHx7+O5/Po1gsYteuXbHffyabJ09zzJpKDvAApy7o4dKwsIiwNtdZweQJAJpKHqCAXRdDnmqWi0XSHoZqGNxbtQkx5Kkpp8AaYCe1zwfBPbWqQop1Zcv2tovuptUm25ORGZk7sr2CqWGL6IJ7if5tJ6eD3Q0OkLMeqpbT6g4ooUGL8O6AsmWyEmScfGiyjMyeyIYnnk9Rtz0UdDn7b95UUXHF+bdmMWnasCLvMKhSn4Y8EdJza3TP9UB1DxppACTL1oOg9uqEAAQkMjfJD4fB3nTTTdh3333brjfNlg6nXq/jwQcfhKqqeOaZZ1p4KfD7G2/AP3716/j3r3wBx771eBT3eQW++c1v4t577wWAvpsr8IYRXGZ45GGvxubNm3HzzTfj1ltvxVlnnYUTTzwRv/rVr0ApDWuSojb5+zSsefKhEILJlWGO4/SFdfJ7d8IzebgtIST0vyybbxgxx8xS2KmH0xB0UhvJCIke2glIwFuvwSRB23PRQ3JVBY0gU2bXRZ2EOxIbMLRkT7Yo/0o9qY3MnRFUMyKzG1xegmyvLbiXEswJbiDSlNfNsCipJkde90UZrdW9hOZSiVsPstZvwZxrsj1VKNmr2ey5Jq9BiyZUtlcNMk8lVeb6FSfb830uKxM/N4kQAkUBvMicp9e85jUwTRNbtmzBK17xirb/olmcv/u7v4OiKLj55pvxH//xH7j99ttDvA/dtx5HH3UkLjr/LLzhiNfjFa94BZ577rnwtcViEStXrsRtt902LTZd1+F57a3IlXBILsfrY2hoCGeffTZ++MMf4uc//zl+/etfY3R0FK95zWuwZcuWsAYKAJ588klMTEzg0EMPnfJ+KigWLxzB9p27w+95nofHH3+87TrDMKbgmmyHHnoo7rnnnrbvrVu3ruP7Jm3zmac5Zo6WBxzAa4jJ5DSq7D4ONOiaiKqkdrNVlinzBAX3jaj8T3BwDwR4KeAKypQ16pXWZi0Yb1ZXUQ8eLq6omrKmhVyQiZRTM8Ie3l6jDBGNYmU3YBAug4uSEcGZnGJGa9UICJSVSZPtGeJlcFJbf7fJygb/sKJoatghoUZL1mFQe41hfP9argfHo8ir8mR7Iskpl8G1ZL0yW+3H9y8ne0ViARSgUmTI02Se+jCPZ0YktCoHmHQvOnS2WCzii1/8Ir7whS/A93289a1vRblcxrp161AoFPDRj34UN910E66++mqsX78eRx55JL785S/jox/9KB599FEQM4/9Vx6E1b/+H/z+jnU48NA34Nrrr8T999+PAw88MHzfyy67DJ/61KewZMkSnHrqqahUKvjjH/+Iv/3bvwWAkFwdd9xxME0TIyMjjOwREnbb+84PfozlhxyJI444Aoqi4Je//CWWLVuGUqmEE088EYcffjjOPfdcXHHFFWHDiOOPPx5HHXVUiCNsE0F8vPO4N+GSr30HN910Ew4++GB85zvfwfj4eJu/DjjgANx111348Ic/DNM0sWjR1FEr/+f//B+cddZZOPLII/Gud70LN954I66//nrceuut4v5wfdp85mmOmauxNLPfFBNs2LVxAEAd/aV/ZzMnwOuJwhtkhCyYgCqe+1sqw+s2xOB1AhLmo3eZwWxGCIGlsHuKyuw50YybjJqRsKZMjH8bjUYrEyllKCrvriYq+HSk1eTIGJIru5uhcNleU6ZsT7wMriKpWxkwSQYnAK/v07aGPVK7WwqUlcnoXgeIb4DDydOwIgmvEa05FZd5Kiry1kOIV2DmSeGHmQKH5LLbkcicJ7b2vv71r+Mf//Efcfnll+PQQw/FySefjBtvvBEHHnggdu/ejY9//OO47LLLcOSRRwIA/umf/gn77LMPPvWpT8HzKc7867/Be09bhbM//WUc887TsHfv3ilzUz/60Y/iiiuuwJVXXonXvva1OP3009vkf//+7/+OtWvXYsWKFW21VorSInuFXAbf+MY3cNRRR+FNb3oTnn/+eaxevRqKooRDdkdGRvD2t78dJ554Ig466CD8/Oc/7+gHFT4+9uH34aPnnI2PfOQjOP7443HggQe2NXgAWIe8559/HgcffHDY2GKynXHGGfjud7+Lb37zm3jta1+Lq666Ctdccw1OOOGE7v8wkmw+8zTHzNXYBkUFBRtWECw3lRzEVzy1yB4VRJ6s+jgAhld8nizA64oje05AEmwlh8wM3Wf6vr+WBzxxZJqTGpfo0ARnInVVQTOQRbrNspC/X9vfSWqmQdB6aNZaD2+Jsj2vWRGS2as3LWSJzb4QnIksttXkiJ+rJqOGSDTZa5edypwDF/9wpe6wgFDe0GRVqKyMk5GihO51AGvIsU0oGQnIHmmyY3wJ+8OYwMOVMFMmUSa7KySnAshTUJQjK/OkEAInIoNDUJtz8cUX4+KLL+74mh07drR9rWlaWM+0u9KEYZr44RX/gsy3/y9QOgDIsdbb0RlMAPDJT34Sn/zkJzu+x3ve8x685z3vmfJ9lZBQZnjBue/HBV/86rQd8vbff3/85je/meY3Z9mvT37hS9hdsaDAh67ruPKKb+HKH14z5Vpei/TmN78ZjzzySNvPzj///HAWFLdPf/rT+PSnPz3te9MOc7cmZ7lk2HzmaY4ZDbIXRFQwF2RGeG2SaPP14DRKUHDkBo0yLFUOXi8ge6JkOR4nT5Lwis5E8vvw+4q2Fl4x/qXB38lVs4Ai9mFYMFoyONH+pVA6dm2KY6wmh+MV418/us/IPLkXtJ/ZVgMGCXT0A46XNQiIyAxFy/YyYmv2WsGyxG6GAv1bafJucElkyuJ/3qocr6zui9HRAAJlhjmJ3QxDMu0IkO3xzFNIngRnnghasj3QjsN0ezEvgBniFfx8U0irVTmAcDZVv8b7MyhUTmZv0Ozl/du9DI3riokj5uTTlRzc0+ABSwTJXLwgKHRkkSdDbGaPBnhlkZEQryByKhuvG5Bp2hTlX/Z7exLw5iPd1USRpxCvnptxDkY/pioEtsozvWL8y4MsX9EBwZnIfCTTIOLzRiltP1QacNlezXaRgxXJREqoKRNYk1O1XKjwWplIKXPgRDdgoNJke4VojaFdjR0scxlcXlL3xTYZp9sEPDfW/XimLEv5nCcJ3fbCcgLKsjkxjGeeFCqHjKgRGRyA+GRkMl7RZE8hoGD/sTcU418iKbM3aDZPnuaaZZj0QBVwEgNEyIikYJk/ABRBeP0Qr/hmEUDrAaAIIqfU4sGyJLy6WHJKg/vIwtvKRAoK7oP7+BKah2iqEmY4qaDMCAlIri848OQWBjCCyDRfV6IDI4DNVauGrfbj47VcHyZlgSfV8+IzkYK7GUZn+lAiPhPZVlMmortatNkJIKVmr022FzOYq1ouTDjQwDOREkcZ+C7gWrHuxzI5FBkqcahvtLY55h7BM09ZP3i2S/BvE0akCYOYTI6s4J635442jYhjvEZLFl4+m4pyUhaT7MnO7A2avbx/u5ehKcEGpbmignu5wTIJgi5NGBnheOWQPY5XFRXcW/KCeyBC9gThbQXLssg0u68iKLhXJAb3QIucCiMj/HMgeT2IINO+T1uHNBLIXkZXwm6RosiILEkZwGVEDC+1KrGDuejAZGIUhWci22R7bhPw+puzwq3Nv6ohIRMZke2BxpZqtXUGBCRkIvVW9zog9hoOM5GQ0521YGpwoMElwUycuHiDTKROeSZSvGwPIK2SAlGZJ0nBvapMIiN+TDLCMzlhpkx85gkIJOSAMP8SSZm9QbN58jTHTMuyIEZ3xWRyuFZbFhlRg9lRmiC8xJIbLBOe2ROEV3GCGhdZeAMyLSoTqYbBvZzMCC/aFo2XSAiWgVaGSAQZoZS2/CsJL/eviMxpzW51giMZ8XgJIaGsV3FqQjINXKJFJHze8kYr00CoxwhJDKu0DdCWRPaimYaYwbLMAcQAk3E2YbTqMGJK92pRvHpOeDCXN1VQKGgSMbPr2gYQEwXQxXbAZWQEaHAyEtO/bc1ZACmZSIA1hwJlNUSdmgN0a75PobREauLJSDg7SRQZCe4rLfMUvI9wshfcZ0AzT3HWUNQG87ebt2lNzbKeeIbXmOXK7qxFRuQEy5w8GV78bjlANDMiB6+SEUtOQ7miYElDeP+A7InCy0kNycjBS8LMaXy8lNLwPpz0CrcgIFCdWuxMg+X6yPrsc6tIwstJjupZAjINXnhyTwR3Kgst+jmOSairEgcmA0zG6UcPmWIH9560gbNAK9Ng0SDTEPMAoGa70jqrATxYJsKkhlXLk4q3mGHBfQ2CyMjkAcSCM5GFAC8fBB97PVguioF/PaKzbKRA4+SpTrLQrVGAeqjX+48jPEpbRAQQL9vjnAliZHCM7MnEKzjz5AMEAOGZ0wGtebJtlilV1Xj45luVzzEzciyICXXGMS0M7iVlRjjejCC8sk/ueWbP8MTg1QL/KrLw5sTi1d0aoLRIpGjTODn16my3jXH6Z7l+WKysSsKrBkEXoR7gNACj/7qU6Em4LLxalJRZlbC1bT9WtZxW5knS+tXNHFxLgUZ8hjdGkFuzPGkDcrnlTAM1x0SeWCxrX+g8n6Qbq0ockAsApqZAUwiqyMCEIyDT4CFP5PmXZ0ZqyGAItdgd7FiNljz/5o0guEcGCwEhMrgWXlnkNDLTMaZ/a3ZrPbhqRvhJfD6CV3XrKKGMXbt2AQByuRxIj+TSsS3AtdFUKAAFsOLVqE02z7ZBXRsNn8IHBRoNIMZADtu2QEK8YHgFEmrPCfBSyiR3zQZAMrO/cBpzbQvw3RZe2wb4DMaI+b4P27bRbDahJNyRz/d97N69G7lcDpoWj/7Mk6c5ZmaOZZ4yVEzmiddOyZDlAIDB8fpi8coKPo1cCQBg+nWWaYi5WXFSwzNwok0PMpEatVmmQdX7vpfvU5g+I0+aJLxqLnJfuxo2QOnHogNcZfmXk2kADG8s8tQ6CSeSgvtsxkST6sgQh+GNRZ7kDUTlls/oqJUzGEZdQHDvSJWVAUGTACeLPCwBmRG5sj1CCKsj8rJYSCpCgnuZ64EH92U/i+UK4mf2bHkDiIFWJqciMlMmE2/g36qg2VTR9eAqGYjNO7Xwcv8u83cCpUNCAtWr7a5YoK4NQsaYhLO2WRhWAKjbLkZrDqCUYVALyHmAMdb3/XZMNEF8BwoZYxK42vPiwIIdLow3HECtwPCbQNYFzPG+77djvAGFetDIKAAC1F7oeB2lFI1GA9lstmcCLMIURcH+++8f+73nydMcM7PAguWcMPLEgntZwbKZZ3izaDJNbUzdOZf/qZJkTzxTpsJnNQ0xdeeGVwcUeXj1aHAfM9NQs1snn7qs9ZDJw6VBpiE2eWqdfCqyMg0ZA1WaYYX9VgUoLOn7XkxWJjczUsiwjnAZAZmGtpNwWXhNDRXkGHmKXTPiSRuQy62Q0VCtZLGUjIutyZHo31pdzCDiKbIywRbNPAEQTE7F72ctspdheiWR5FSifytUjH9rlovhYD24alY4eeJ4qz7DS5wKli9fjiVLlsBxepck//OP70dh9DFcYVzJBs7+9a+F4r3nmd247A9P4PLCL3G0cy9w3OeBQ/667/td8v/dg2XWZnzf+C5QWA6cf6M4sABufmw7vvWHTfjXkd/gTfW7gWM+Dbz6433dy/cpPnH9nVhJduBHxreAzAjwibUdr3UcB3fddRfe/va3Q9f7P+zt1wzDEJLxmidPc8xyRUZGTOKAuhZIzI5HsslINiB7AIJgeXj6i7swjlcW2cvkJ5GRGOTJ9XxkgtbJRk4O3lw208o0xCVPlhfWjMjK5BQzrEMVyzQILLCWGXwiw+RgIvHKyuQEHeEWkbLYBgEy/UtFBp/yuu0BTKpVE9QhsCpZpgUE7dXrYgbltuGV4N+czg7WWpkRATI4Ik+2F2ZG/AygQki3vYUSZYa8RqvsBzGDgPW7T4DXVfqXe01n3L8Tk/CqqtpXvcrmcQevqo4iY2wFiguBjFjMuWwWL1Y8TJAqMvZWoLk71ns8N+qgRMcY3mxBOF7DzODFioey3kCmvhVo7uz7PaqWixcrHpaSMWTMrYCuTnsvVVXhui4ymUwq5EmUzTeMmGOWL5bCf9crE7HvZwa1SFouHqmZzvL5AhwabHQCBh/y2ikjLwlvxkBF2MPbCwtqjXwpJrLO1jZIUMBJbRFya1zyQaYBgGBZjpzgk7V7FldgLZvsFaOziERkGiTjzZtRMjI3Mjmi1kMS5DRvqkLJiMz1oCikraPhoOMNMyOCMmUVyZm9FhkRJdtryQwdVWxnQKCFd9wTR/6LCayHCS/+erBcD7bnoxgOTJYnOx334/u32mS1TcOKXKXCINk8eZpjljVNNChLkDeq47Hvx2uRMnk5mYboLAy7EY/s+T4NGwTIIk+FaDAXNziyWyefbbUzAo1NuRenYW+dLMtZD3lTDWfliGjtK7MgHGCZhlYwJ+DkXrJsL2+Kw1uz5Z7cA0ENkSAyUokOcZWVyclE2n8LDe4l+TejC9vP2GGF3ExZdJaWWHIqpyGHrhIpNUQyg/sw8yRgSG605km05U126BpmnmKsB0ppkImUSE4DMjLmxc/s1SzWqU+mbLrA/evF9281GJi8QOczv+bJ07wNmBFCUA9ajTYFkCdeO2XKyuREprA3YmbKojU5sshePnqyHFfWILnbEzA5WBYhc5FdcC8Wr8zgCAhqXGSc3Mv0r6j1m0hwL3o9SJbtRTO9QmV78shpRVBw315TNvj7g2z/8oYcIsl0EjJDEf6llLY9j11VBnma3OCif7yW68P1qdT1wP075saX9dYCMlLSgo6AUuaqMbyjrgiyF5AnLSBPsuYYDpDNk6c5aI1g82vW4pERy209DDOFUlxYHU1TlbA1qhUTb/Qk0ZAkMyxEptxToTUjsjJ70UxZfLzFBIKj8GR5wE9qASaDE+nfRGqIRGUaJBfcA5MyDQJqRhKpgROVGZEs0wL4ehDUmjoRmaHAzGnbnCd5+29VYCZd5vpVFYKsrgrJlDUcDz5FuB5cRbxsL8zsCSB7PDNSTKDhSYXGz+RUmpyMBORJBl6Dk6eg1YcA/8rEO2g2T57moPEJ4XY95sMwkhnJSSJPQGson12PmXmKPFxktXpmwREnewKCDclkpD1TJlCmlURwJKC1r+yCe5HBnOyCe4BnygTVCDSTkO2JWw+VhPDWBMoiE60pE0KmZWfS1Tkj2wMmZ8riycqSyvSKWA+TyYiMzFOY2ROwHnhNTknlwb2chieEiGkFX7Mn45U35HlcoGxvWJW7PwySSSVPY2NjOO+88zA8PIzh4WGcd955GB8fn/Z6x3HwpS99CYcddhjy+Tz22WcffOQjH8FLL73Udt0JJ5wAQkjbfx/+8Idl/ioDZZbKyJPbiBfc16tlKIQNNJM1NwkALDUPID7Zq9QbrKscIC3YyOhK+DCMTfaajnxZTqQmJ+56aCcjScjK4pPT/ByT7eUl14ywYI435Ii/HqQHc6JlnAkcVlQErd+2obMSP2+iZHttNWUyG3IIzJQlsZ+J6L7YdHz4FMkcVgjYz3hNzrDCgnsZmSdgcs1p/MzIMCcjEvZf1vBEMF5FvmxPzHpgeIeU+cyTEDvnnHOwceNGrFmzBmvWrMHGjRtx3nnnTXt9vV7HQw89hK985St46KGHcP311+Ppp5/Ge9/73inXXnDBBdi+fXv431VXXSXzVxkoswMy4jXiBRuNKhvg5kKJPc9oJrMVMWTPqkZeL+nhQggJyakTk+zVGzXohD1kZHbT4idzcfHWmrZUWQPQfhJOm/FPwmV2TwIENxCxvEj3pMGXlSUm0xJWcJ+ETEsVtx6aTkKt9gWR0wS6W4paD75PUbe9RPBWaHBYIeDkPhGZoYD1UAuDe3k1T0DQ7VRAZq9FRuR3txTREKlFRuQdBumqAkNThGTSq1PwvvzJk7Q5T0899RTWrFmDDRs24JhjjgEA/PCHP8Sxxx6LTZs24ZBDDpnymuHhYaxd2z5Y63vf+x6OPvpobNmyBfvvv3/4/Vwuh2XLlsmCP9Dmaow8uc14wTKvmWogi6LESc+OlgccwGvGe3hzvDZ0GJrokXwtc5Qc4Mcne21kRhLZ01QFzeDUz2mUEYcC21EynsDJstMsxxqsWG82W5nIAT+pBViwnIhsL6zZqyLOpzqZhgbiasoqkgvugfbuoSLIXj6BBhciyXResiynYGrYJYCcctmT7LlfhYyGsoD10AqWJeMVJYPjsj2lCXhsSK4ME7V+a6HMUJ5sDwjIf0UAGWlyvHJl9MXoHDgh5P8vR7YnjTytX78ew8PDIXECgDe/+c0YHh7GunXrOpKnTjYxMQFCCEqlUtv3r7vuOvz0pz/F0qVLceqpp+Kf/umfUCx2XmCWZcGyrPDrcpkFtY7j9DWpWrRxDN1i4eTJb0zEwl8vs8xTQ8kiI9EPDsdbj4e3WR1l/1dyIBLxWloesAE3Jl4r6IZoKVkongd4nhB8k9eLrRYACjj18Vh47YCc+lDhURWQ4GMVNGwg4tTGY/0d7UhNmqNkpODNqDQke36zDC/O+q1XoREfgDy8pkJD2Z5XHweN7HG9ro1qwwq710nDq7ZkI3H9G83kOKqk9aAhzDTExhuRGTpKVhJeEnYH7BZvp/ViuT4cj6KgyfVvNiKbps0y3D7fY6zK1m3Y0EDNgkrAm9MVbKf8sKJ/vOM1hpcHy66akYPXULBdgH8n6iyeykeG5MqIpXK6ghc53lj+ZXhlr4eCoWIP5XgrfeMtN1jXuhwkr19DRbXWqjl1bAsgvQvSKnWGl4+ScbXp8fb7PErCesEkjTzt2LEDS5YsmfL9JUuWYMeOHV3do9ls4stf/jLOOeccDA210tjnnnsuDjzwQCxbtgyPP/44Lr30UjzyyCNTslbcLr/8cnz1q1+d8v1bbrkFuVyuy99Ivk2Hf7JpDRaEj+/chtWrV/f9fuPbnsQxAGo0g/Ux7jOb2U0WMI7u2BIL75YXnsEpAOrUxB8k4q25bP7Brhc344EY7/P8c1sAMLx3ScDL10vd1wEC7Nq2GffEeJ8X/8w+lw2Swa033ywEYydrEhZs7Nq2GY/GwLtrGyPTDnSs/n13n51ere4izDTs2rYZ98bAO7ajdbK3+tY7+3pIzWY+RXhSu2fH1ja83e4v3Mp7WwdOa+5YB18Rn+3d2Wi1Th7fuQ13x/BvpUKR0djDb+2dG+BojwnBGLU/l1vrobLnJdzRJ15KgZqloGCyYOP2P96Hpv6MMJzcNo2SsAFOfWwHbusBb3S9VB0A0EKyd8f6B1E3t4mECgB4aVtrblJjYjfW9unfHXUgiveuezei8ugeQShbtvslJRz6bVdHsaZPvM9OAICGfCDr/eMDj2L8yfhD5SfbxJ4WOfUaE30/jx/cQwCoyHoMo6Nme95furHKqBKuB9qsYPVNNwF9qGQ27GB4TYdlt+975Cns3iw+/G1UlDDzTzwLN9/0W1DS+/s8vJXh1axxAMCDjz+NHVvFxxC+FRlKDeCW393QVxbx8c0KAAVKfS8A4OEnn8VL22fGK2O9xLV6vd71tT3/VS+77LKORCRq999/PwBWPzLZKKUdvz/ZHMfBhz/8Yfi+jyuvvLLtZxdccEH479e97nV45StfiaOOOgoPPfQQjjzyyCn3uvTSS3HJJZeEX5fLZaxYsQKrVq1qI2VpmeM4WLt2LU466STouj7r9Rt23QW8CCzI6zjitNP6ft91q/cCuwFPL+K0GPeZzda+tA7YCSwoGHhzjPdZ/b/XAaOAZ8jFe92f1wMTwKJiBq+L8T67/ud/gDJAzSGheCevl//vT/cBDWDRUAaviPE+T+36OVAHqCnXvw8/9iDgAguLmVjvc/fWXwKW3PXgej7ufPAhAMCCohnrfX7z7K+BCuBqOZz27tNFQZxiv3/oSQBAKafhtNNO63l/4fajJ24AbIASFae8+319BS2z2Y5yE394dFMb3n7t/93/v+G/Tzr9/YAiPjjatKOCu5/8MwBgKKP0jbdmuTA2rAkzke885b1SpDkLN4/ij09vBQDkNdoV3k7rZetYHeSBu5APZE8nrDodyC8Wjnfnuhfwp207AQBZ1evbv49smwAeuTeURb7txFOB4RXCcHJ75rZn8fR2dohjULtvvLf9aRfw5EaW6aXAW95xMrDwlSKhAgDuvfFJbN7DCITmWzjtlJMBRe35PuX7twHPPImCajPZnpLpeX/pxu62nsAzo2zNKfBx2qp39lWf/eI9m4HNz6CoOYADHP3Wd4Lu9yahWAHgxrGH8edyKzlw6jvfBmRHer7Po2s2AdteQEn3AA9447HHg658m0ioAIBrX7oPL74wBp+oUKiHVce/BRha3vN97rj+cWDHSxjJAKgCbzjmbTjiFSd1vLbf51ESxlVp3VjPT5fPfvazs3a2W7lyJR599FHs3Llzys92796NpUuXzvh6x3Fw1llnYfPmzbj99ttnJThHHnkkdF3HM88805E8maYJ0zSnfF/X9YH643WLh2SYPzS3Fgs/tWoAmAxQph9INsDrVOPhtQO8ekEqXhp04lFi4kWA19Pl+JevF2oMAQ1AsWPidTheuf719QLgAiQmXhLg9fU8MpLw6jrgBA1aYMXDq4R4CzAk+tfTC4A31b8973eBBt43CtANOTWGpXx7t6d+/et4Pgy3BmgA1TLQTTk1GMP5TJhpIDHw2o1IcwsAeq4EKOIzkaV8JpTt9fp5i66Xpkta9W8A9PwI+3AItuGcEXYHJFYFuqb1RdqbLqDDhQmWidRzJUl4zbZMg04o0Ec9LitxoaHsSc/J8e9Q1mzLNOjUAvTeZyY2XdalN+u3WpXLiKeKWR11mKAgIKDQ/Sag937g3XACvIF/NUnrYShrwIMKV8lA85vQvQagT1VgzWb1AG9GMt5iRgdA4Gh5mE4Zut/o630aNjsEMn2WuekG76DF3wB6wtMzeVq0aBEWLVo063XHHnssJiYmcN999+Hoo48GANx7772YmJjAW97ylmlfx4nTM888gz/84Q9YuHDhrO/1xBNPwHEcLF/eO2Oei6YEbcU1N15anw+BdXW5xX0kICOqW4t1H47X0yQXI5qcPMXDywvgPcn+pSYL7okdDy8J/OtLxusbBaDBgrk4RgL/Ukltv7n5BiMjcQvulUAyQiV3IqIC/EsphWJXAAPS2qoDk1oRxywIl91ZDWgvuKd2/w05KlG8RlEKcQJ4wX3gX6cO+F5fmYa2mVSKBmhyuqvlo90BqQ84DcDoXVpftZxWW3VAXgOcTAQvwNawtqDn+1QsFxnYUMGCUHkNe1RY0OFBhQqPNTXI9E6eqpYLBT5MXuMiqVV5wdRAocBSssj4dda0p9A7GeENDUwveEZK7L4IsHEymt/se0/jDS6MEK+8IeUAOyA0nXLfTS6S8u8gmbRW5YceeihOOeUUXHDBBdiwYQM2bNiACy64AKeffnpbs4hXv/rVuOGGGwAAruviQx/6EB544AFcd9118DwPO3bswI4dO2DbrCDtueeew9e+9jU88MADeP7557F69WqceeaZeMMb3oDjjjtO1q8zUKYEmSddEBnx9XxsTDOZkmHBeFy8/IPtG5LxBp14NCducM9eTyV3nuEDg1UnXrcyxUkGLyf/akz/qpzcSuqcFFrgDyVmNzglWA9E9noIPm9qDDLSdHzkgkwDkehfRSHh/kPsKisG6sMqkYHfMv3LhibzTIMNuNYsr+hsbQNnJfo3H22tDvQdzE0ZmCypO2ve1FCHCZ/T0j47XFaabtjsBFoGUOWccOdNDR5UWCRQtvQ5m6ptPYAAkp5xBVMDQNBU+Cy4/vzbNkML8lqVh2QkJt5q04UOFxrlcyLlddsDWJMo9o8+8VouAArd5aMt5ODlg3JbePtbv5w8aV6A9y+g257UOU/XXXcdDjvsMKxatQqrVq3C4Ycfjmuvvbbtmk2bNmFignX52rZtG377299i27ZtOOKII7B8+fLwv3Xr1gEADMPAbbfdhpNPPhmHHHIILr74YqxatQq33norVLX3E7W5aFoQfBpe98VtHS0iy5FpWo6dbOkx8YYn6dKDz5YsMo6FmSvJmZFWJjKefzleIvvUSFAmUk0Kr4BMpOv5MDx2SkskDqQGAGKw9at6DZZp6MMqVqtznWy8/PNMqM+yI31Y+wwiefuDoSlh91AA/Z/URgfOStzPiqYOCzpsGjwbYwRzsmdSAa3gvh4zG8mC+yT8y4LPesxZOYycRvBKIqeFDCORdRJvNlXNbvmXKhp8IoecFrh/BeIFIHFIOfucNTjeGJmcDGwoPBMpaQ3nDebfhhLsaTE+bwr8VgzyF5B5ktZtDwAWLFiAn/70pzNeQyMnjStXrmz7upOtWLECd955pxB8c9WMPCMjXF/ar4Un05KDez2oeTJjkqcwUyH5g6kFeOOSU565kh18qjwT6cUjIzwzyDObsoyTPd2tsUxDH4ECpRS6VwW01v1kGb+/4jss06BNrZ+czWpWa2CnKtm/ai7iD7sKqL3LnqIDZ2WTUzVTgF8hUAhlwUYfp+61tuBern+zpomGayBLbCbNzc8uLZ9s1YRkhhldgUIIasjCQDVWMJcEXh7M1ZBBAfWBJ3s801BDFiMY7z+zlxg5ZcF9ncTNjEwaQCyL7IXkNN4sLZaJDPBqWUCVE/q2yB4n//1n9sIB8BIzkXz9NuKS/0mZyL8E8iQ18zRvcoyTp2xc8hQGy5LJU44FM1k/XnDPM0FqQnjNuGTESwavysme3wQ8t+/7cLxKVm5mT88yfxDQsKlGr1a3PeQp26w52ZVlbX+/foONyMmn7M9bJpOLnWmoJTBwllsho4dSuDgyrcTwRqR78YJ7+bI9QkhQRxRvEGa16SYyAJMHn1Uacz1YEdmeRP8Kw9tMZj0UTJYhqsXE2yYzlCyTBVrjDITglSqTbZFpADH3X/nklMv2aiT+fhZm9hS9rwPGuWbz5GkOWiYfkJFoGroP04PMiOzgPpMvsf+j2XdNAwDoQYMMVXKwrAcyQw1u3zUNQKvYU83K9a+Ri/ijz+DIdv2QjOuy/ZstwqfBwyCGTKCVyZHr33zWRJ3ymoYYD28iX0YE8OA+/kliMYGTcIBlG8Jgo++TWi+CV65/86YW6RAoIJMjOfNfNLWwg12/NQ2VtsyI3BotAC28sciefP9y8lQRQUaI/HoR7t9yXP8mtJ9NXQ9xDivk+7e1HgTsDwnITkNySrkssnf/UkonZaZf/vVOwDx5mpOWLbC5AVnYoF7/U5rDzEiu9247vVimwO6vxMg0AK1MkJYriYA1rWXy0UxDf5sfpRSZAK8uGW82m4NFAxlCDDJSJLxNbkkQss5WyEYzDfGDe9JHt6herCDg5L7SjJARybK9tg5rcYJPkowMrpARQUacxGR7BVONkL0YMiIezCWxHgTU5CSxHvJTMjkCgnuJ/i0EJ/cTfszMXjRYloiXZxrKPj8MinF4xWueJK6HYpApi4/XS2Q98PVb4XhjrIdiknhp//6t2R4oReTwKv3ZqUnYPHmag5YrtoJFq9bfSSKASHAvN/jM54vwaLzuSQBYq1IAhmy8mWimoT//NpxWzYhsvKxdrggZUZDJkZx5KrQFc/12p/ISqcEAeKZBhMwlGbzFTFRW1qd/7eTwtpHTWN3V0sDbf3eqxPBmWu3V+w/mnETWg6kp0BQSe3+oRsmp1JonlhmJK9OqRIPlBGq0Jrz43QGLJDn/lkO8/e4PTiLB/RQy3Yd/Hc9H0/ETrYEr+/3vv1U2pAzDCpdFzpOneRtQy0cyDfXqeN/3yVC2+ZmFkgBU01sho4cPF7fR32btej5yCeHNm/Fnz0SDI0O2f0019sl9e7As+STciGQaBvykFuBkJKZ/reQyOXlDjY233Ezm5B5gAVI1ZnCfdCYnriwnqWAOYGSvEjO4bz8Jl3cYxGu0ROy/xQQ+b6amwlCVSA1Rv5m9KDmV598psrK+/esl2H0RGPP63x8opajZXiL7L8c77vW/HjgZSeJ5zGvgxmP4t2ox9dMiIyhxkLz/DorNk6c5aErkZK5ZnejrHpRS5CnLPGXyI8KwdbLobJR+8Ua7f2WkkxEtSctKAQAAc4dJREFUtmyE1WCwYI4kQEbi14xETxKTkBHF9W8yJ5/ApExZn/5trxmRLYPThcj2igmc3AN8f4g5x8VyMZSUzLBtPcTwb1KZUyMi44yR2UtqPYjYfxOt2TPVFjmNU7OXRCbH4A0Y4u+/Ldme/ExZnJqyhuPB82ki65fjHXMN9o2+yAgjTwu0JDKRLPMU4u3Dv5WA7C3UAvL0F9BpD5gnT3PWGkErzGZtvK/XW24rLZwtlgSh6myGpoRzMBp94q1YTvhwkS0zFCEjqiUoy4mS01itZ5OUlcWVwdlJBkfx8VabLoYSJHvx14OTWHBfFPB5a2sQkASZjrseEpRxtsl6RTQISICMxJXBJe7fmOQ0KbyKQpA31Fh4PZ+i4XiJ7A85QwUh8WSRPJOTBF6eeZqIIYPjZGSBZrNvJJHZc/uXRYZkT+WyvXnyNG8DbHxCuN1nzVOlbiFP2ElBVnImB2gNjesXb7usIYlgmeHtV2ZYTTLTIKD7Vy0hzT0wKdMQq3tSgv4V0L0uyeC+GjeYayYo44yS0zkR3MeXwbXJDOeCbC9hclqN212tGelel0jmv/9Mju9P7lYmn+zFkUXyYLnVvU4eXkIICjFl3uWQjMjPjOQNlsmJ8zyeSkbkywz3cvLUz3oI/FuazzzN21ywZjAR2ukzuI/WSskeigpEyF6feGu1OgzisS+ky1zU8OTeqvcpM2zakbkSSZwss83aH/CTT4B3KxM49DCBTFlcGVyl6STbIEBIN7gkyXTMGqKEyWlsWWTSmRyR3eukf97id+OsJCjbK2Yi5LSP9VCzg8zIHMmkV5qsxqXVICBJZUX/ZKSkyg/uNVVBRlcimd4Y/k0gk9OaS9W/fyvcvwmth0GxefI0R81W42VGGpVxAIAFA9AMUbCmtRBvn2SkTe4neS6KpipoBrJIu9Yf3matAoUEM60kk9NojYDTp3/rjQayJJAJJFBwz/HSfsleI7nW1GJkkck1uCiYavyhswk2uCiaAmRPbeRUfmt1Ed0tk2pdXzB1MTVaidXsxVsPluvBdv0EG57Ew1uz2KFgEq2pAS6TjSGDC8kIC5ZltioH4ss4w25wCfm3EJOccv8O8SHPEvHy7pZxlApTZZHzDSPmbYDN0VjmyWv09/BuVscAAPWAJMg2Rw3wNvvDawWZsjrJAYr8ZWsFeN0+/WsHZM+FCmgZUbA6mqkpqAWySKfeH5l2oiRRMjmNZhq8Zn94m40q9IQykSJkcJWGhQKRL8MAWLDM8fZNThNuGBG34L5quRhKSAbXLtsb/IYRBVONNSTX9ymqdnQ9yPXvUExZWUhGkpQZxiIjPJOT5GFQ//7lNTlhcC89k67HknHyTM5QQv4ttDXA6d+/STQQIYQIk3EmtT8Mis2Tpzlqns6C+36DIx7cNwL5n2xzA7x+n+SJZ1S4/E+2ORp7n36De6fB8FpqHiBEGK5ORgiBwzN7ffqXyyltJQOomjBsnSza/atfcsr9S0EAQ+4aLkZkcLTPk3u3EXldggX3frM/vI1mHSZhD8UkyFNcWVmlkVxNZMFU48s402oY0Yd/6w4bgpnkHK04Mq2alVyDAGBSpiEGGSkmRUZidjMMW2knSP7jrIeKNbn1d4Iyw1g1Zcl142zLlFHa0+s5Oc0nhHdQbJ48zVHz9QL7R9/kiQXLVkLkKS7Z43I/W02I7GnxyJ6XMF5Onvx+52gFeJ0E8KoKCWWc/eL1ggyboxWkk9Pow7BfvLTJ/OsrOqCZwrB1sujDsF/yT6OvS6KmLGZDA8+qtWSy0oM5PdaQXMv14LkOcoTXYCQ5yqDfYJkm2I1TjyWDq0wJ7pMc+t2/TCvZodT94y0HwXISDSOA+K32OdnjcyITPQxy6oDn9vR6TkaSwtu2HkABu9bT6/n6zfrJ4B0UmydPc9R8g5En0ufJpxcEc1z+J9t8nX2g+sbb4MFyUpkyhrdvspc4XrYe+sXLSQG/j2xzgvfpt8EFDUgtz2jKtJzeyuT0KzvlZMTT5T9YFIWE5J/2iZcHKb6WAxRVFLSO1i7b669bGQnkPJSogC5Xipxvk8H1JysLT2mBRIKjSpzg03JgwklUJhtHxlm1XBD4c6bhCc+UJRYsZyZ1r+sx01CdhFfmnCdgkizSdwDX6un1lYTJU1tNGdDznsbJXouMyK8xrMNkKg6gZ7zcvxk/IF3z5GneBtlIsEAVpz8y4jcjJ/dJmMneR+mTPHG8bgLBJwDQICjvl+z5YXCfDF5OpvuVEXHSlURwDwB+mInsE6/N1oNvyNdXKwqBp8UjpyEZSejBwtdDvzJDEuCVXQwOAAWjdVLbj3/rjtc6Bc8MSc9Exh2S29Z8QcsCqi4Q3VSLK9urRPGCAIbcZwbrbhnB23Nw7yDPO50C8hueROfWuY0+Mg0udLgwwef6JFGTw+twe880VIJMZFKZhrb1C/S8hnlNWSYhMpI3NdjQ4ZHgc90rGQnIqRmSEfl4gdaBW+/+DfB6Ad4EujcPgs2TpzlqJCAjWp/kKTwJl/wgDC3YYNU+8XJ5jJdQZoSfpvVL9ogVyLQkSxpCMzg57S+4J4F/EwvudZ457Q+vEgb3yZI90id5CtdRQuuB8vXQB17b9RM9Rcybaniy3A95au8EJx9vNPjsB28lwQHEwKRucHYF8P2eXl+13PbidckNe9pknH1mGsL1kIRMdkqmobc1wTpx1lvfSCBT1oAJn4d/Pa7hatNFFhYUBOsoAbw+FFaPC/Qsla1aLlR4MPzkGnIArQ7D/fgXoDDc4JmRQE0ZEMXbo3+DzJMe4p0nT/M2wMZnM2lufZYrOxsPAv2EMg1qgFd3ezvl4saDz6SCZU5O+yV7YcYqIbzU4JnIfv3L1gNJKuUek5yqweuSwsvXHenxlBZgsjIteLCQpE7lYmSmo23Vk5gBp6lKKG8lfcmIWm3KSQIP7nyk+yJxmz1nGqptA3KTIXuVaHDf4x6R5IBcIKh5imYaepU9TZ5JlUAm0gHLNgDo/eQ+OrNOz0uXyRYzLNPQVPrLnraNXSAKoMtt4sQHuYbNonrEW266k2Sycg9gORlpqv1nckw4UGkyDXu4f3mH4X7WA4EPzZ2X7c3bHDAty4IEw4sXLCe10NUMex/d64/sJY1XCd6nX3KqJBzcK2Fmr7/1wEliUsG9wslpn2Sak5EkgnsALTLi9k5GorIyNZsMXr7uVLcO0B4zDZFgmWQSOqzgNZy+21emIcng3tQUWNGun/1kGhLMPBVMDU0Y8GhAIvoI5pLG60NBvc9ZWkm22QdawWeD9ElG7GQzp3ljEt4e/VtuOhiKZiJlN+wxGBlpkP7af7dlplVTeiayYDIS3ST91e217WeAdJksz5Q1+/RvpekiBwsEyTTsGRSbJ09z1IwcC8JCHW+P1gqWk1noWo69T6jj7fX1CQfL/H10r7/MiOawDVNJKFhWs8y/Rp9khL9OTci/fN3pbq3nTIPleuG615LyLycjngV4Tk+vrTSdRDM5AKAF/iX91DRYTqLBMtDK9ALoPVieLCuTbIQQmJkMLBq09O8Hb4LBcs5QQQjpu8Maw5ucf1lmBJG6p97w1hIc8AywmhwA/fs3YfLP8daF4E3Cv4yM9I03YfKfNznZE4DXkC+TnUL++8EbymQ16XMtB8XmydMcNT03DADI0P7IE0+xKtlhYZhmMjMf4O2T7HE9bVJ4OTk1+syU8YyglhBentEw/HrPNQ2+T1t48yXR0DqaGvhFoR7gNme5ut2iA0a1XEk0tI7GySmA/k7CuawsIfJkZPJwabC999E9qRXcJ7N+8xkjMisnxkltQnr7vNF/h7VKVKaVke9fQggKRv8d7JIPllkwV+lzllbbDK0EPm88k9NvR8O2YDkBvDxY7ncwatv6TWI9BGSk1uf6jR5eJevf/jM5aeCt9ZEpo5ROIqfyG/YMis2TpzlqmYCMZGljlis7mxmQkaSCeyMXwdtjpgFodXLRE8LLyalB7Z4zDUAEbz4pvJFNtkfpXs1undwbuWSCT72NjPQT3DO8SWVyMpksLNpf96RywifLAFDIRupG+miVm2QmB+BF9/11hEu6YQQQdNzrczBq0pkcIN4gYpbZS86/Q0Gmod/BqNHDiiQzZZV+10NKMsOK3/96SHI/47Kyfgf7Jr2fcfLf7+DkqjVJFinZuH/72R8ajgfPpxhKeD8bBJsnT3PUskUWlOfR7DnTALTkc5wkyDZO9lT4gNM74eMZKyMhMmLkI0F5jyeJlushH2QEzYQyOdlsJNPQI97oSVdSZLqQMVCjgfa8j+5JScvKiplIe984soYEg2V+stxrh8A08BYiTRh6Xr8prIdC22Df3rtTJY03b6p9y8oqCa8HU1OgKSQyGLWP/SHBYC4fkhG+n/Xu3yTJHg/uy7S/7nWVZvLdIgGg7Pe3/1baZLLJNJQBImS6B/86no+mk9yMMiBCpvuQyfJOe8UEM5GDYvPkaY5arjAS/ttu9D7lns9oMAsJyXKKkffp8SSG0tZMCSMhMlLIZtHsM9MQlTUkRfbyph5PRhQ2CEhI9hQdfNhzJsdJObjvp5tWMjNGuLXh7Xn9Jl/zVIixHtq71yW3fit9ft6SrnkCWN1IvzK49kyOfP8SQoLDiv67wSUb3DNZWb/7b81KWBYZBMvjXv+Z00S7L3K8nJz2gNf3J8vKkiMj5T4ye5yMpJHZm/B7/7zxmVSLDT6jbD7zNG8DbvlcDg5lm3a9MtHz63MJZ0aiNQ1es7eTo7rthbKGbDEZMjKUjVnTEGx+STVgaCcjvWYa0giW1ZhkJPlMThzNfdLBcjHGYNRKCsF9u6ys9/WbZLAMsPXbr2wvHfKvRtZDjDlECWb2+pXtJd99UYWhKpHDisFuaFCIKYMrJywzDIN7r/fMXt3xQGnCZCSogRtzeyd7fODsiBbUASdK9rh/eyd7C7WgQ+o8eRJjY2NjOO+88zA8PIzh4WGcd955GB8fn/E1559/Pgghbf+9+c1vbrvGsiz87d/+LRYtWoR8Po/3vve92LZtm8TfZPBM01oPw0Z1rKfXWm6rdXJ2aGSWq8VYIVLT0Cve6MPFSKhBQDGj9x3MMVlDsifhxUz/wWf7wzA5stdvMFdpui2NdULktBBTtpe0rCFv9J95aqsRSMq/MWRlbZmcxPBqsbqrpbEehOBNyL9Fs//9t5awTAvgMk4RrdXl42XdF9EXXsv1YLt+og0u4sj2eHA/rCS3HngN3HgfZK8yhYwkl4kMyV4PMkNO9hZwspfU6JABMKnk6ZxzzsHGjRuxZs0arFmzBhs3bsR555036+tOOeUUbN++Pfxv9erVbT///Oc/jxtuuAE/+9nPcM8996BareL000+H53myfpWBtHrQl9+q9ZZ5qtYt5An7cEblfzLN1JSw+0yveNOQlQ1lWjI4OuCtXIF2vINeYA3Ek5VVE5a5AEw60m+mLJWGEZlozdPg+7dg6pFucHG6fyWXKav0mzm1kpcZFjKamO51ia7f/oaissO2FGSyfey/lFKWiUxw/fLui1Xau3/DGpcUZIb9yDgrTdbsaYGaXCaHk70xr49MDs88hXiTIKdMwTTaR6aMk72S+peXedJk3fipp57CmjVrsGHDBhxzzDEAgB/+8Ic49thjsWnTJhxyyCHTvtY0TSxbtqzjzyYmJvCjH/0I1157LU488UQAwE9/+lOsWLECt956K04++WTxv8yAWpNkAQpYtd5qnmrVcSwM/q0mNQSTkHCOQM946zWYJJlp29yKGQ0vBJu1XS+jl7F65YaNApLbrAEmM3yhTxlR0jIXgPl3tN8C9hRqctoyZf3U5KRATl+aQ+shH5XBDXj3L6A9kz7oMi1gEt6e/Zv8520oo0VkZb1nppOWnQ5lNVQneg/uLdeH41EUleT3s6rbRybH4sFycs83VSHI6iqqfu/klNfkDKsW4CHRGrhaHzJOTvZKahNwkGgDkVHXAHT0RfaGE16/g2DSyNP69esxPDwcEicAePOb34zh4WGsW7duRvJ0xx13YMmSJSiVSjj++OPxz//8z1iyZAkA4MEHH4TjOFi1alV4/T777IPXve51WLduXUfyZFkWLKs1tb5cZsG74zhwnN7bUIs2jqFXLE0lB3iAVR3r6bWVsT0AAAs6FKoACfmgSXIABRrl0Z7wVsf3hv92iJkIXp3QUOZSK++F0gve8hgUwtqxO2pGON5O6yWjIjy5t6ujID28Z7laRZawgk9HzSbi36xGQrxeYxx+D+85UbPCYNlRksIL7A4ehl69N7yMTAd4E/JvRm2d1PqNcfbeXb5vuWGHwfJcWA/lRiu4d9UsaBJ4dRL612tM9IS30mjVwLlaMnhzeqsmx29OwJvhPSfvL9FW8K6aSwiv2lq/s+CNmscbBBjcv8ngLUbIqd/oHu/eCotLwvWbEN6CqaJa5f4td413rMpI07DSBCjD22/80ovlTRXVeu/rYbwW4A3862n5nj6r/ZgCQFdJmOntxb/jNbYehjhePScdr6mwWKVMudKmDLfL95yoM7zFHvybxHrp13rBJI087dixIyQ8UVuyZAl27Ngx7etOPfVUnHnmmTjggAOwefNmfOUrX8E73/lOPPjggzBNEzt27IBhGBgZaZebLV26dNr7Xn755fjqV7865fu33HILcrlcj7+ZPFu7dm1P1y/3DQDAc396HJsbq2e5umVju7fhtWBD5+5e3f3r4lqJMrzPPvUYHq91/75bduzCcQDqyGDtmt9LQjfVtOBh+NRjD2PP6NS1PJ09vm0MHwLgQcHqW/4gbWhcdL14PuAGm9+Tjz6EF/Z0798/Pd8aBHzz7XeDEmnbQmgTNkCCk+VnHt+ITaPd4336ORc6YRLdW+5cB1fNSsEYta1VwAyCuT//6VE8Weke77ObWw+XW+++D7b+JykYo7azAVgB3q3PPQXsd1TX+8sLLylhsPyHdQ+gYTwvC2ZoT+8hKNAW3kec7v27fbca1ozcueFhVDPTP19E2eYdBMMB3pc2P42HethH95ZVFIKT2rvvewTlx8dlQGyzbS8SlIL1sOOFZ3F/F3jXrl0LSoFyQ0VBZ/5d99BjGNvU21Drfmx0pwIz2H93bduMe7v0b90FAC08rLh345PY85wkkBGrjbfI6d7tL2Bdl3h31AFAw1CA9/5HN2HXC/KfyV6zVTM9vnNr13HAMxMEgIo8ZaNOHnriGWx/ke0rvcYvPZnbwlve8xLu7BLvw3sZ3qzHsj8b//Qctu2S71+DqKgFNVq10Z24vUu8G3YwvLo1DgB4dNPz2LJXLl5KAYJW5r8xvhtru8T70DaGV62zA+4nntuCzeXuXit1vfRp9Xp99osC6zlKuuyyyzoSkajdf//9AJhUa7JRSjt+n9vZZ58d/vt1r3sdjjrqKBxwwAG46aab8IEPfGDa181030svvRSXXHJJ+HW5XMaKFSuwatUqDA2lX+DmOA7Wrl2Lk046Cbqud/26jX/6IdAA9ls6giNOO63r1z14zxpgG9BU8jith9fFtT8+eQ1gAfsvX4hX9PC+t/3hVmA70FQLieK9+dFrAQ84YPkSHN3D+47dtBbYHeB997uF45puvfxs4/8AAPbfdylee2r3eJ+9/nZgDLCVDE5993uF4+1kddvF/zzySwDAgfstxcGndI93w3/fAZQBCoJVp38gkYnmW0bruPGp/wUAHLTfEqzswb837rgLXEV04rvfD2i9iED7s53lJn76GHuIrVg6gseArveXq5+/C6bNTuDeccr7gIz8Dpf5p3fjnj+zh+n+S0ewbw+ft288cScKFnPw21edDhSWSsEYNeeR7Xhwyx0AgH0XDWFZD3i//MCtITl964mnAaUDZEBss70btuCxbesAAMsWzLyPRvcXlyrwNtwWkv9jTzgFWDy9akSUPXnLM9iym8URS4azXe/7W8fqwP33hCf3R7/9RGD5EbJghna39QT2bnwEALCwaHaN9+Et48Aj92FYZZmcN731naArjpn1dXHt+r0PofosI3sjeb1rvLc9tQt4ciOrcfGAI489AfZ+b+krfunFfvjCBlS3M7zDGbVrvLUHtwFPP4kR3QFs4PVHvw2Hv+oUKRij9s2n7kItkHEWdNo13m13bwY2P4OFpgc0gMPedBxed6j8mOcrG29H1WJ4s6rXNd7Hfv80sPV5LM4BKAOvecOxOPTwmV/bb7ybhHFVWjfWM3n67Gc/iw9/+MMzXrNy5Uo8+uij2Llz55Sf7d69G0uXdv9wW758OQ444AA888wzAIBly5bBtm2MjY21ZZ927dqFt7zlLR3vYZomTHNqwKLr+kD98XrF4xpFFpTZtZ5e5weaVkvNJ/r7u3oBsABqVXt6X97a3E4Drwf4VqWn96WBfx01j7xEvJPXi6PmAR/wm735lzfEcLSCVLxRG9Ja3b88qwKzT7yGYUjBN9kWFXNtDQJ6WocBXl/RoWcLEtBNtVKBRArYa4De/f4SbZCi50cARZUFM7ThfCbEq9g1KL3sD3YNaiCT1fMLgATWcClnhpkGxeker+v5sB0HuQyTuySFdzhnRvxb7QqvruuoNDwANMzk6PmRZPDmjb7WQz1Q3XCyl5x/DbxAe/MvANRdtm7DIeUJ+beUM7CZthrKdLufcbx5jjc3Ahq8VmY8NZzTsTsy9LtrvA7HyzIKSfm3kNFRCcgTsXvwr+MDiPq3lAxeU0O1GfGvpnV1KMnx5mjveAct/gbQE56eydOiRYuwaNGiWa879thjMTExgfvuuw9HH300AODee+/FxMTEtCSnk+3duxdbt27F8uXLAQBvfOMboes61q5di7POOgsAsH37djz++OP4t3/7t15/nTltvp5n/+ixINyts253tppMIMfN43h7LFh2AryOlhcNaUbz9QLQZOSpp9cFQ4tdPQX/WoDX7K0hB8frJehfQgjDSwGv0Zt/adBK1UvQv6wVcUD2mhX0Qif8JsdbTGywXk5vtf72rQrQg6tIcFjhazkoCRAnoP/W6pRSEKsCmAAlKoguX8IJTJqr1mMrYh4YAQCMZNZwv0Opyw0HJpxQJptYQ5no3K8eCu7LTQcEfsvHiTW40PtqyFEOupXlabJztNrw9uBf3iAglwLe5/togMO7wWX9ZPEWMxp2R/H6PqDMvvtXp+BNbnTIDr4eqAe4TaCLvZTjzfhMxvmX1DBC2rP80EMPxSmnnIILLrgAGzZswIYNG3DBBRfg9NNPb2sW8epXvxo33HADAKBareKLX/wi1q9fj+effx533HEH3vOe92DRokV4//vfDwAYHh7Gxz/+cfzd3/0dbrvtNjz88MP467/+axx22GFh972/FKMBGSE9Bvc8uE46uPf5+/XYnSoM7hPGSw3mX9rjUF9+ffJ4C23v37UF68czkt34+HrweyR74MF9QoEnwDo+cXLpNXrDS4L1ThPEqygEboDX73U9cLwJPgiLfc7JqdteeKoMs5iIhBMIutf10Q1uItIsAloG0JLJnArBCyRG9qKt9nvBW264yCNSk5Vkt72+8DrQ4cIAa9iTKN5oq31Ku3odIyMUmYTJSNsoDrcJeN0V9nOylypeoGvCx7sDmgmTkbZunEDXa7gcdAfMePPkSahdd911OOyww7Bq1SqsWrUKhx9+OK699tq2azZt2oSJCZZZUFUVjz32GN73vvfhVa96FT760Y/iVa96FdavX49isfVH+c53voMzzjgDZ511Fo477jjkcjnceOONUNVkTkkHxXyzBABQ7d6CORp030o6WKYmq51Q7d7mPKE5DgDwDPm1F1HzA7yK1RteEhR7+gmdGnHj70d6xMv/HjQlvGj2hlcL1jtfT0mZZ/SHV+d4E6gdipqr974eLNdDzg8e9AniHcrqKAdzZ/j+1I2Vmw6GETy4E8RbyGgoI8jU9rAeyk0HwyQtvEFzpJ7xBuvBHO7q9FyEFc3WekBzouvgvm09qAYjqAnYUCaC16l1HdyXmw6GOF4g0bmA4XqgXvfBfZORUxVBJjKhNTyc01HheIGu13C16UKDC8PnQ31L4sF1sKGsDgs6PBLIwLrEy8mp6QbkJSH/FjMaKBQ4WnA40iXeiQZb54YbxKAJP+PSNKlttRYsWICf/vSnM15DI5tiNpvF738/eze1TCaD733ve/je974XG+NcNiVXAgBoTo8n4cEHw09oI+HGg0e9x8yTYqUTfPKNVu0RbxjcJ+5f9n69kmmOF9mSWECzGDVLQKX19+3W+HonCeP1zGHA6Y2MeD6F4VYAA1CyyQyk5uYaQ4Dbm3+rTTcM5pLEWzQ1lAnP9E6g2/zRRMPBUDAQNcn1UDA1TNAIXkq7ynqVG26IN6lADmCtqTle2FXAcwF19sd/ueFiiGf2ssmSvQlOTn0XcOqAMbusuBxZD8iUEstEDmUnB/dlIL9w+hcEVmlG1oM5nEh9IcDwNmDChQYNLguWu8gaVJpOaz2oBpN2ua5ktGzulw8FTSXPJGLNCSA/e/lIxYrgBRIjp8NZHQBBUysi74wGZGTFrK8rNxzkYEGhnJyWZMIMbSjLSJ6lFaG71a7JU7nhQIUHzeV7RLLPuDQtKQn+vEkwLSBPZo/kSQ2CP5IwGeHBjdEjXi3IjCQdLCt94tV5cJ8weSJZTk57y4zw309J2L8kx/BqPeCllMIMTrn44UFiFvhX7YE8VS03zDSoCeP1MxH/dnlyP9FoZUZIgsGyohD4QWZZsSuA73X1OhbcJ5/JGcq2MjnEd1hw34VNNFLKlJn9ndynlSkrZrQguA/IRJfZyHLTTQXvUEaDh1adIVdLzGbllNbDUIYF9zUlIKRd+je6nyEznCg5BdAz3kp0PRjFrg4MRNhQMHi2rvBMznhXr2vbHxS9q7ojEcbWA9BQAwLdpX8novsvkBg5HQSbJ09z2IzCAgBAxustM8KDeyWX7CmBlmfvZ/aIlwf3atJ4CwFetzfyxK9X8yXRkGY0LbcgeP/e/MvXT9L+5ZkNwyl3HdzXbS/crPl6Sso4Xt2tdh3cVyIyosTJXhCMKb4DldpdvaQ9uC9JAtbZ2shaD7KRVjBXEg9qGjM1FZ6eg0uDR2jXwb2DIY43yUxZRoMLDVVe99RDcD+Uwnoomiy4D7Nl/ZCRBP3Lg/tQytkP2UvwsGIoy4L7CnoL7itNN5X9gQf3VcLxjnX1urTXQ4i32/UQ3c+ypcTI6TAnp6S39dB2uJIgOR0EmydPc9jMIpMFhDUKXZrhphMsmwWGN+v1hpeTraSDZSPPyEi2R/9mgt9PC16flGkBmTa8Guvu04VZrod8UJyqF9LBq1KHFQF3YZVmS0akJbx+9ej66yG4T0OmBQBaphgG97rXfWYkxJtwJjKfzfYc3E80IrKchPEOZ42WtKyX9ZBC8Jk3VKgKieAd7+p1aa2HYnByP057828bOU2S7E3BO97V69Iip5yMjNPe6uAqKZF/TvYmelwPbP2m4N/JZLrr9eumsh44eaqQ7tdv0/Fgu35q+2/aNk+e5rBlh1jwWaC9Bfd82rZRSDb45HhztPvgHmiRLTNhvGYxICPUBpzugnvX81EIyFbS/s0EZEQBBbqUlkVlDUbC5DSTK8Kjwcla1zKMqKysJAfYNJbPZVGnwby4boPPejqyHADIR4rCdbc2y9XM0pKVAewBHhax93NSmwbeMPgc7+o1aeElhLTj7dq/birrgZORSs/rIS0ZJws+J3pcD5WUZJEc77jfm38nUlq/PLgf73H9prWfDfexHlzPnyqLTMimkNMu/FsOmkWUUtp/07Z58jSHrVBiBZMZOKBOY5arW5YPgvtMMdlMQ36YZZ5YcN+dFM71fBQpxzt7Aa5IyxWHW8F9lw/DmuWFmx/PtCVlbcF9txr2CHlKWlY2lDMjJ3PjXb0mTVnZUEbvK9MwnMJJLcCaMPCHoe51R57KKcnggMC/PZ7cp7kehrOR9dCDbC8NGRHAyWnvmZw01oOmKm1NOfqSESUpizQ0ENJb8AlMyjQkmckJyOmo31vmKa3PG8+UjXrdkxFK6SRZZEkOuA7G8Y71QE75zK808HKyN9YD2eOd9paZwcFywvtv2jZPnuawDQ2PhMF9bWJvV6/xfYo8ZR/O7HCywf1QoYAGDeaadP0wdFEMZCOJ482afQUbxSCNrSecyRnK9h7cl6Pdk1INlvuQYSQcfA5l9Z6Do7RkWgAbfMjXQ7eyvbSCOaD/4D6t9cAyOb2u33S67QGT1m8PZCTN9dDzftZIZz9TFNJ2WNET3hTWQzHDMyNzQ8bJM2V7XN6QY3b/Vi0Xnk9TWQ+cjOzxuiennIwsUpNtqw608I72gJfPeFqiW+wb87K9eZsrZupaKGuolbsjT1WrdXKUH0qajLRkOVZltKvXRAs+k65xaZvd0U93n4TT2EMZrWcZUVqacIBJBXo9uR9PUQY31DYrZ7yr16TV0AAIZvvQ3shTWrIcIOhg1wc5HYxM5HhXr0mruxowiZz2IttLbX+Iuf+mcLjS6/7QPqesJAVXJzM0BVld7Ukm23Q8NB0/HVlkSPa6x8vJyIjCyVPyMrjdTvc1nFwGt1jnmZzk/bubk9Me/LtYS96/g2Dz5GkOGyEk7OZSH++OPFXKE9AJ6xSWtAwuejJX75LslesNFEnyJzEA093z4Mitd0v27NROaof6kBG1kZGk8WZ6rxlJl+z1lylLU7bHg2Wj25qnenqZyPZMw3hXr0lVZhjNPPUi20sxU9ZXpjel9VDqdz2kdrjSW2badn00HT9FstdbpmxqjUtJErKpltEVGKrS03rgwf1CLYgfUpDBjfYg22tlnpLP7HG8u+zua3rLDSYzXKCkE5+lbfPkaY5bLZgj0Kx2F9xXJ/YAABxogJ6b5WqxpiikhbdL8lSfiPxeCT8Mi5nWw8WqdNcatVIpwyDJDrjjFn14+40uZSO19MhpPzLDibqdLtnrkZymLtsL1oPWT+ZpDgT3bZmROSArS7dGa+7UEAG9rwfPp6hY6WXKoodt3eCtBLKndDOn3bemDslICsE9IaRnsjcFb6LdLTUo0Rq4HvCOpIA3JE89yCJbmb109oe0bZ48zXFrBkPNnC7JU7PMrquSfGIzBKLWUBheq0u8jUDe1yDZxGcIaKqCusLJU3dkr1Fm5NSDAhh5adg6WTEiK7OqXeKtRkhhJtkBdyzzxHxEG92R03q9GiGnc6C7Wr2JoZCcJou3YLbWg9Flw4iJup2KLAfoT6bVnhlJfj30PocoWvM02N0MKaVzSmZYDQru02qd3JaJ7ObkPsBbSkFWBvT+eePBcklJZz/r9fCqlSlL3r+KQlCM4u2BnA6ngJd3t+wlk879m9Z+lrbNk6c5brbOyIhb6y74bAZkJJx8nbBZWkD2auNdXW9XOd6iLEgzWkNlhMLp0r9WQEYaajFxcprR1VDG2S2ZtgNSaCk5QNWlYetkQ9mWrKzb9ct/L5+ogJHsGm6r0eoy09C2zlNscNFtt71GowaTsKAu3UzkeFevqdSbqTVg6Ku1esrd9no5Ca/ZHnyK1GSypVxv5JQXsKfVOrmtBq6f4D7xTHpv+9lEirI9ACj2eFgxEQb3A9BQpqtuewHeFPaHsLtlH2SPd0Oel+3N25wyR2cPCL/Lk3unxoJPnrFK2myDkRGv3h1eN8DLSVfSxt/X6zG4t7RkszjcrIDsdUtG+HWchCdpWV1FpUfyxNeNrQ8lTk6jZKTb9UuDh6arJU9OR3JGpNted+SJ46VEAcxk10SvNSMAQKMjDwY889R0PBC3CZOwoGPQa8oqTRcEPopIvmYE6L2Gc0qwnEYDnD7I3hBJJ/jsdf2O1ycFy2nKZHtYD0U6AA2ReiAjfJRMKodB4XoozzqLk6/fEO+8bG/e5pL5ZhCkd1nj0go+0yEjXkCeupVpufVxAOnhdQK8fpcn4Ryvkxpe9r5+l8GnF+B19eTJHiEEls7J9HhXr+HX8XWUpBWMVqasWzLNyYifAt5SrvUw1N3uap6INQ4gwJswOW3L5HRxEu54PjSHkSeq5wDNkAlvivVas1eO1L9RoiSeOe11SO5Eg41dUAhl30hVJttd62QTNkwE5DSVmsju8XJymqcpyvZ6yJyGwT1NK7MX6SZrzR7cc7w5v8K+keb6dZuA05zx+nKIl5On5Gu8w/XQxSxO7t9MSnjTtnnyNMfND04nFKs78uSHwX06C903SwAApcshuQhIlmukgzcM0rs9CQ+u88x08DrcT13i5Q95P6WNz+2RTCs8uE/Bv4pC4ARkr9uGHCT4XNIU/Bs9qe2mYYTnU6j8c5nCKWL0JJx22do3rWJ7oHdZTrQZB8kMA0qyj19G9niDgO7ISCiJ1LKAZkpEN9VKud4yZeVGZEYZCGAknDmdLIuc7eS+4aCIBhsaD6RC9kK8bgNwrRmvn2g4MODAoMF1aXS35OuB+oBdmfH6iYYDAh8ZL70GQxVkQREcQs3ymQvJiBv8Xilk9iwY8JTuOu6FeIMDrHnZ3rzNKVOCD5hmdxnMBR+INIJPACABXrVLskd4cJ8SXk72usc7DgCgKW0k3E/dkmk1ICOp4Q3IHumyhogH9yQliUBI4rsI5nyfhp9Lkk12RhnAauC4PFfrolV5JdJZLQ28TObCgnvaKxlJi+yhB7KX0kwfblNqniid8fpKw02tPguYhNepA6494/VtnQFTIKfs5L774L5twHMK5HQoy+ZE+j0E98NRcmom32DIggGHBBnmWfaIiYaLAppQEJDYFGRwFEqr5GCWPaLccGHAgebzOU8lqfgmG++4x9Ugs/m33GCZUz0lspe2zZOnOW5qrgQA0J2ZN2puPONDE+6sFr5/8AHTne4yT6rNTzXSInvsfdVu8Vo8WE4Jb+Cn0G+zGL9OTWnjo4GflC7IP6U0lGkpaW3UGU5Ox2e9tGq7KAadv/jnNGnj69DoIvMUDY6UFNavqamwNEaeSBfBfZqd9oD24J50E9yn2GkPAEo5oyXLoR5gzRbcpzfwG2D+rSIyTmOW4L4cXQ8p7A88uLcR1DbOitfFcIrrdyjDgvsm6U661z5jbyhxcsqD+4baXfa0beyCagJ6Ria8KTbUB95w/aZBTgO8YT18F3jzaIJQTk7nZXvzNodMz7MT4ozXHXlK8yQcaOE13G7xBsFySsGnmgvwdkmeOInlr0va+N+1W3JqBHi1fEp4MwHeLshew/FQCPTVemGBVFzTGQkzvZXZg/vIAOK01gM/vTRoE/CcGS9lwVE6neu40SDTS6gH2NUZr20P7ktygXWwjK7AUiN1S72c3KeUyWnCgEWDkQ+zBffN9AbkAkApa8CH0vV4gLTXw1CW+bUSdDydjYxUopmnNMheECxXlR7ISIqZU+5f3lG2G1lZWgPrgRbZq3W5HhjZ4/VD6ZHTmtKdf9sy6aoJ6FmJ6AbP5snTHDejuBAAkOuSPHESkFYwpxdZ0JvtEq/pcrzpBMtGEKRnuiR7HK+RUnDPSZDplmcN7puOh3xQTJsWGQkzp169q+CeB0daSuuXk3iFuoA9sxSu7eQzJTJiREnxgAf3AJDJ5lvBfTfBRop4CSEoZA2UKR8sOT7j9e2yspJUbJ0sb6hQFaXr2TNtZCTF4LPbDoxpzqQCWCYHQNeznspNN10ykpnk327ISJpkL8BbQZfkNOX9dygziUx34d+0Zb0AUCOzf948n6KS8v6Qts2Tpzlu2YCMhB1wZjHTYycbRkqZhhCvX501uAeATMp4MwHejF8HPHfGax3PDzvlmCmREaPA/KRSj9UJzGDlSKYhLf/qhVLri+bM2afxegtvWrLITLYIh6rsi1k17E5qA2e5DeUzqPDgfpY6uHaylxLeqLSsG5lL2nijRexdycrSw0sI6anjHiMj6XXSKmY0EIKu10M55UwODz7HQzI92OuXZ3ImulwPactkh0Iy3cP+kCaZznIyPTte36dBJjJdGTKArjqIhgOp/0IH5ALz5GnOW36YZZ4KqAO+N+v1vG2nUUwnuM8NMbw6XMBpzHo9z4yYqeGNvG8XrTv5ZpIJfs+krVAYbgX3XT0MgxqXlDI5xWy2FdwP+MkcwIL7bttTt5GRlE7moh3LyCwdAtu6laXk3/ZZI+MzXpt2tz1gUlODrmQ56a6H9llPs5ERN1UZp6KQ9o5wXRTcp3pyn2PB55jf3XoYq9upZk55JmfM704WOV5PN5PDg/tu8FJK22XIKcoix7ogp1XbZQOp01wPAZke7+LzxjvtLVaDGO4vrNMeME+e5rwVSovCfzcro7NfH2RGsikF98WhElwaLLtZNuum44UD7rLD6eAdLuRRpUGh6SzttMejNS4pBUcjeaPr9r7jAyArK+W6nzWStmwE6G2Q6yCQvVLO6JqMDFxw301mZADwdk/20g3ugcnttMdnvLbSTLfbHjB5Pcy2/9qpZk6LpgZVId3vvymTER7c7/W6IyPllGWyXAa315/9eVG3Pbg+HQhZ5GgX/p0IBhAvVNM7rAjJqRccZs7gXz4gd6mRzgDtQbB58jTHrZDNokZZi9PaxN4Zr7VcL+z+lUuJPA1HZDlOdWayF5VhZFOSwbUF97NmGtJ9eAPs9LPbwZLj9fRlZT0F9wOAdzho7wugyxqBdGUNpeggzLkg28tokfXQQ3eq1NZD97OIBmE9DEdlhr1kylLbH/Su18NY3U612x4hhH3eutx/2/CmJNNissjZ10PT8WF7fqrrl5O9PW5wmDmDf3lmZIGSbrdIIIp3fNprw0yOztuUp4d3tzv7+h0EvGnbPHma46YoJCxIrE3smfHacrWOHGED7grDi2a8VpYVIyf31VnI3kSt9XBJS1ZWipzU8gHD01kbGUkr85Qz+guOUsTbS/CZdqZsJG+0z8qZwcZT7vYEBLI93k67p5qGklxg01gvZCTtBgxAb5nINrxpZnK6Xb/1ubUeBmF/aBvsO8N68H2a+v6rTpFFzh4slwZAttdN5pTjXaQFwX2KMrhdTveZnEVaepkcninb3QXZKzd4pmxetjdvc9h4K8xmZWYywsmVD5LKHBeAbdi8NWpjFrwTE2PQSDBDIK1gI9c6qZ3Nv+VaHXmSzvR1btFgmc4mc6lZqQdHUbyD3l0NYJmybmVlgxHMdU/2yoMgi+yxhihtctpLcB+V9aZHRrT+ZL0Dvh4ope0yuDT3hy6C+3LTAaVIfT2M5Lpbv+MNNsNskZpeZk9XFRRNravDwTDzNAAyuG7235CMKOnj3WHzMoXxaa/l/h1R0lsPaZtU8jQ2NobzzjsPw8PDGB4exnnnnYfx8fEZX0MI6fjfN7/5zfCaE044YcrPP/zhD8v8VQba+BA2exYZXHWckacasonPEIhaIyBP1iw1WhyvAw3Qkh1wx83U1K7JaaMc+X0SHnDHbSQii7RmWQ+N6niLnKaUdh/JG6HMhc52cl9Pn5yOtMkix2e8diJlWQ4wSbY3Fxpy9Io3bZlsD93rxup2pLtaSSqu6axbvJRyWVnKsr0u10PFcifVuKS0n+W6k0WO1XnwmbYs0uhqPfCanJEUyQjAnxfdZ57C4D4F/5qaipyh9kT2SiniDbsZ+t2Q6cmZyHnZnlA755xzsHHjRqxZswZr1qzBxo0bcd555834mu3bt7f9d/XVV4MQgg9+8INt111wwQVt11111VUyf5WBtqbGFq4zS3Bfn9gNAKgq6QT23BoBXrc6S41WmeGtqcMAIdJxTWd1dSjAM7Ms0q6wnzfUAqBq0nF1soyuoky6w+sE/neU9AbcjeR0jIFNNJ9tPfCfU5AUgyMjxIv6zOTUqU9AJ0EHzJTmlJVyBsYow0tmyUTW6nUUCJe5pCOTXZAzMEaDuSiz+He8aqHEW2ln0/HvcFbHeDh3Zmb/jtVtjHC8KcmQ2/FO71/LBxyPYoQE8+3S9G+4Hqb373gtCJZJuuuhlDNaeGfw73idZXLCmpyU9oeRXHfrNyQj4ectnfU7ktO72h9CMhJ+3tLyb2Q/m2E9cLzDNPi8pYA3o6swNQVjmN2/YzW2fktId39I06RFeE899RTWrFmDDRs24JhjjgEA/PCHP8Sxxx6LTZs24ZBDDun4umXLlrV9/Zvf/AbveMc7cNBBB7V9P5fLTbn2L9UscwHQBLzaLMF9QJ7qWikBVNNbQx8BbMCvdkdG6loJpQRwTWcNfQSwAG8WvF51d3h9mrO2G1oJ8AG3MjNePyAjlj4CPSVymtVVTARkz67shj7DtbTG8NpGCaaiJoBuqo3kDYxSTvb2zLyB1hleV8tBS5GcjgZkj9ZnJqf8YUmJCpLiyfIoDQ53ZsHrNcahKsGsuFxaDXB07O0Cb8P2AKeBXCbInObSqTkdznaHt+YACnyUeCYnnx7ejZgd71jdBhAheynhHcnp+HMX/h3nmRwE4y9SWg8jOQObusAbBvccb1r+zRvY2sV6KIdkJF3/LsgbGJ2I4KW040HwaED+h1LGuzCKtzHGxt90eNaOBuSp6Ke7HtI0aeRp/fr1GB4eDokTALz5zW/G8PAw1q1bNy15itrOnTtx00034Sc/+cmUn1133XX46U9/iqVLl+LUU0/FP/3TP6FYLHa8j2VZsCwr/LpcZn9wx3HgOE6vv5pw4xj6xeKawSlQbe+M97DLuwAATb2U6u/tGCWgBvi1PTPicCsMr2Wki9cySow8zYKXk0HbGJGKd7b1YhklRqaru2fEQQOybZsD4F8PcCsz4yX1QMZpjkBJCa9BaJjZcyu7QWfEyx7unjky43UyLachJHtedTf8mXA09gAE8DIjoJ4HeLPPjRNtQyYJM3u0tgfuNHibjoeMMw6YgG8U4VECpODjYVPpCu+uiUZ4ak8VHa6SSQVvXlfCTCSt7e2I13Ec1FxgGFUohJFTRyukgrdoRvDWO+MFgD2VBnKwYCLYG/WhlPCqrfUwC14NLgrBKA7HSAfvcFZr969tdw7uq00AFEUviJ2M4RBv3PilJ7wZDY8GeNEch2M1AGVqGLu3yjLoBW8iwJuOf0tZDc9xvG4TTn0CMPJTruN48yHe4XTw5nQ8PcHxUTiV3R0PpvZWWTydc8cBAK4x3PUzLsn10qv1gkkaedqxYweWLFky5ftLlizBjh07urrHT37yExSLRXzgAx9o+/65556LAw88EMuWLcPjjz+OSy+9FI888gjWrl3b8T6XX345vvrVr075/i233IJcLtcVliRsOvyzmVNjQY61dxtWr149/XXbngEAjDn6jNfJtrGgQUtjz9YZcYy/9GcAwKit4dEU8Y5aTN1a3/XCjHjru7cAAMZsFfcmgHe69TLmsPxNbfcWrJ8Bhz22DQAwbmu4O0X/lj1Wz1bbvQV3zIDDK7N9Y9zR8GCKeHkNXHX3FvxxBhykthvQgLKnY12KeHk3zvreF3HnNDhcH8g4E4AB1Hxzxr+DTKu7LbLXGH0Ra6fBMW4BI4FkpIEsbk0J785GC689sQNrpsGxtQosCLIilpLH72++OTGMUXu2jDAT6VV2Tbuf1VwS4rXVHG7+fX/Pprj27F4S+pfW9mD1TTd1DO4f2N3C6xEdq9fekYrUe9vOFl5iVXDz734L2iG4X7edhFk9CoLVf1gPkOTrkHdtI+F6IJ6NW353PVx1apb8wS0KCmhCgwsA+P1d98FTzLZr+o1ferHxXQomkGdNr0Bx642/gq1PLUN45DkFOnxkfObjtX98CI72tHR8k60+rqAOEw506HDwh9W/RsOYmqX5058VEIAdCAG4fcNGNPUXkgULwKsrcKGhQXLI0jruWnMDqpl9ply3+SUVAIFhMbXCH+57FHVzZ0/vlcR66dXq9XrX1/ZMni677LKORCRq999/PwDW/GGyUUo7fr+TXX311Tj33HORybQ3C7jgggvCf7/uda/DK1/5Shx11FF46KGHcOSRR065z6WXXopLLrkk/LpcLmPFihVYtWoVhobSrf8BGNtdu3YtTjrpJOj6TMKlzrbBeh54EijpFo4+7bRpr/vjltVAA8gt3h/HzHCdbFtT3QI8A4xoFg6bAcfNf/49YAGFJQfgtBTx/vfoi8ALQEl3Z8Txs023Ai5QXLpSKt7Z1suft28HdgAlzZkRx9bH7wB8YGiZXLyz2QMv7AJGgSHVnhHHYw/fDQAYkuzf2ez3T+8GakBRsabFYbs+7rp3HYD08f7P46OAA+TRnBbHjnITfwj27eKS/VPD6/sUP3jwvwEAGVqfFseT28u4e+MjAIDsov1SwztWt/HDjf8LADC8Gk475eSOMpd7nt2LDU88BQAwF+yTGt5nd1XxkydY0KL5TZy26p1TmvE4joMH/vvWkJzqQ0tTw7tw8yiue5p9jhT4OO1db+1Y77h7/QsYeY4RUqWwGKe9+92J4uRGHt+BX/55IzwoUOHj1OOPBopTywuevu1ZjLxwF/siO4LT3n16wkiZjd+3FTdtfQoWMWFSC6ve+kZgZOWU69b/9kmMvPQgAIDqOZx8+vvDn8WNX3qxzXf8GXdufxYNtYi8V8aJb3kDsHiqiul3/70RI7s2MbxEwUnv+VAq5PSh1X/Cg3u2oKGXoDu78Y5jDgeWHzHluv968T4Ux7ZBBWvg9M53fwjQzCnXyba11Uex6bEdsDMLkW3UcfybXge64s1Trrvi6XtgYhwGZRmoE079IJDpLpZOcr30alyV1o31TJ4++9nPztrZbuXKlXj00Uexc+dUJrp7924sXbp01ve5++67sWnTJvz85z+f9dojjzwSuq7jmWee6UieTNOEaU5diLquD9Qfr188Zoll+LLOxIyv1y1WEKrkF6X6extDDG9mFryGPQ4AUAtp410MADCdsRlxmBxvcXEieKdbL2pxCbADMOyZ8WacseD6ZPBOZ0p+ETDK/t7T4XA9n53K6Wz9pImX5BYBNUCzxqBqWmeZS6MZ1l8YQ0tAUsRLswsBB9DsCRCFdGxmUrEaIV6lsAhKqngXAB6guE0o1AGMqeqAitWqb1Hy6eFdVNQwEWT2CPWhe3XAnFo8XbY8LAjICMktTG39Li3lUUYOLlWgER+6UwGyU+XuNbeVKSMpPi+WDudgwUANGeTRhG5PAMWpJ/dly4/gTc+/i4pZUCgokyJG6AR0pwzoK6ZcN9F0B2I9LCqyLFOFDMGku6HbZaADlvH67HiTiKcWFhnRryhDyHtlth46vOdEw22th+wC6EbyRAQAFhYY3qo6jCFn97R4xxpOiBdGEXq2kCTM0BYVW3iHsRWaNT1efrgCRYNeWNBzpnfQ4m8APeHpmTwtWrQIixbNXhx27LHHYmJiAvfddx+OPvpoAMC9996LiYkJvOUtb5n19T/60Y/wxje+Ea9//etnvfaJJ56A4zhYvnz57L/Ay9AyARnhetnpzLRZsKx1ePgkaeYww5vzxme8jqew1cJiyYhmNqPI3j/rzuzfbKD/1Qsp+3eIvX/GGZ+2QNX1fOS8CUBt/X5pGV+PhlsBPAdQp25go3U7fLhwMpuWqYVFwG5A9W3ArgHm1Afd3moLL0mpmQE3NTcClAECytrPdijuHa3ZYXCUVvMFbmZuCFZZg0lcVmTdgTyN1gcDr6IQFHM5lN0chkid4e3QKWusZreaGaSIdzirQyGsrmwxJhjeoamynJpLWp3rUsS7IG8AAEb9IvJKkzU1WXjwlOvG63YrmEsR78ICC9LHaBEj3L8dbHRA1sNIju21YyhiEXZ3iTe9zmoLcmw9jGMIy4Bp8e6tWVgyCP4N1u8EGcI+wLQd7EZrNg5C+v4dCfxbJkPYF+joX9fzMdFwsE/Uvyl2Q07LpOUxDz30UJxyyim44IILsGHDBmzYsAEXXHABTj/99LZmEa9+9atxww03tL22XC7jl7/8JT7xiU9Mue9zzz2Hr33ta3jggQfw/PPPY/Xq1TjzzDPxhje8Accdd5ysX2egLb+AkZGwU8s0xoN/ozi1Fi1Jy5VY5rHgVwDfn/66gIxkhtPFmx1hsousXwdcq+M1nk/D4lQjZby54P1VeIDVeU2M1VsnR5nhdMlIbmghK/gHZny4RDMNaVq+OIQGZQ+ZGYMN/jDMp0tGhvLZSHvfafDWo8FRuv4dKZgYnaWj1qCQEaC9A+P0/o2cLKe4flWFoJQzZu24V3cQIafp4S3lDBAC7MXM/t1bax1WDALZ2+PP/HnbEzlcSXM9LChwvLP51xqI9cDJ3t7ZPm/Rw6A0/RuQkZn2B05GBmE/4+thbIbP20SDDXgelOdFWiZVBHrdddfhsMMOw6pVq7Bq1SocfvjhuPbaa9uu2bRpEyYm2k/0f/azn4FSir/6q7+ack/DMHDbbbfh5JNPxiGHHIKLL74Yq1atwq233gpVTad9cdo2xIN7WPCt2rTXFX3m50wp3eC+uIAH9/60g9h8n2IoaIOZKaUb3A+XFsKlwUdlmuB+LBJ85lP27/DwEKo0qGOY6WEY4FVTJiMLitnWrJHp8FYHI9MABO1nZw3mrIEI5gCWbZg1uK8ODt4FkdlUXQVHaePNGzMGG0BA9gYJ7yz+rboYiEyDqpBgVs4sn7eqNRDB50hOByEzB8tAgHcAMg0L8yxTttMLOqwNeqYsIKe7vemfF55PMd5GRlLM5OQZ2ZsJLycjg7D/crK3Zwa8fMDzfkbQ+StF/6ZpUid5LliwAD/96U9nvIZSOuV7F154IS688MKO169YsQJ33nmnEHwvFxsuLYBNVRjEQ3l0J0rLD5pyjedTlGgZIEBhZPaaM5m2cKiAMs1iiDTg1fZC7fDhi8q0iiPpzvNaUDAjMpc9wNBUeeieautkLm2Z4aIgOCqQJlDbCyyYuh72Vm0sGZBgbmHBxBgtYiGpMP92sL01GwcSPgMjZbx5hndfsnfGYON1A4K3NYh4OzDNLLjRuoODB2Q9sEzOzGR6rG7jsAHx74JcJPM0rX9tLBgUvHkDo2OBf2ud/VtxCBYOEl6bk5HO/t1TtbEQ6ePVVAUjOQOj1sz+Ha3ZA+FfTvZmIqecjCxU098fFgaZkR1OjkWvHfCO121GRgZgP+OZyB1uQE477A9jwcDkffSg01uq5JSRvZ3u9GSa493XqAE2Ut8f0rLk24/Mm3AzdBXjgcylMtq5Dfx4pcY0+QCKC9IlTyORk8/aNHj3VJrhyZyWcg3RwoIRmZUzTXBfHQzZCMBS763MyHTBxmCc1AKM7IV4pws+q9ZA1GAAwKKiOXuwPGiZETrzehitWYy8AgOAV29lcqbx76DItIBgP5vt81axBmY9LOxiPVQcDGambLr1MED72cJZ1oPr+Uw2PQB4Q7I3w3oYC8jIIKyHBVzGOcN64ANcl+vpPy84edpuB3WbHfy7t8rxBqqhAcD7kjM92eN4l2rp403T5snTy8QmVNa+tT7Wudf+2J6XAAAuFOj5dNOsuqpgXGF4a2PbO14ztncPdBIM6Uw7OIrUCNTHOpO9sfFxlukBUse7MG+GeP3q7o7XjFUbkZqctMmpOWsNxt6qhUUI5L0p1xAtKhjYG9bkTB/ct06W0/Xv4oKBPdy/05yEj9UcLCSD4d+FeRN7aNCOejr/Vq1WpiHt9Zuf3b97qtZAZBoAFiDtReDfachIxUEL7wD4d2+4HjrXjIzVncHyL53ev1z2tGhA9oeFs6wHTkaWaenXcGqqggVtNXtd4E3Rv5zs7Z5hf+CZnCVq+v7l5GnrDGRvdzAgd6k6GPFDWjZPnl4mVtXYB6459lLHn1cC8jROSoCS/p+9rDIC15yGPNXHXgQAVEkB0DMdr0nKdFXBuDoCYHq8tYBU2cToOIckSRvJ6diNEgCgMa1/d0IlFD4UIJ+yzLBgYDctAQD8cmdyWq2MIUOC6d+FdDOniwpmiBfVzocV5UoVJRKczBUHAC8PjqbBu7dSb5GRQroy2cXFCHmaBu/uchOLOdkrpFtjuCBvYPcsePdUbSwm4+yLDnN/krTZ8Dqej7pLWnhT/rwtLBgzrt9RHnxinH0jZf+y/YHj3TXl53trLPhcpgTrdxD2hxnWA880hHhT3h/YeiixLzr4l5OnJSR9/2qqgoV5Y8bnxe7qJLwp+ndh3oRCgF1+iX2jg3/3VNj6XTIg+0Naln4UPW9CrGky9u9OE3w2AlJV0QajuK9uMLLnTHTG2xxlQX9VH4yUcE3neDuTEXt8e+u6lNt2aqqCSkD2OK7JxtdJQx/pONQzSSvlDOwJgiNrGv96wTqxtSKgZxPD1smiwYZf6RwsexX20PEUHciUkoLW0RYWZn54A4Bd2QON+KAgqZ8kLi5Gyd7UhzcA1KoTyJGg82U+XfK0ZGhmMm25HuqNBhZw2WnaZKQtmOscfBL4rUxvyngX5Gf2Lw/uFyuDgbc9uO9A9gK8i8gA4Z1hPXCyNyjrYbbDqz1BZmQhJ9ODgHeG/Wx3mSlWFlI2SiZNvKpCgsOVEvtGddeUjsg881Si4+wb8+Rp3uayOdkge1DpHGw4QRBdNwYjxcrx0mmCzzC4NwcDr2UyvN40eP3KjuC6wcDbzAR4y9PhZd+3MunjVRUSkml3ojNeUmPftwcAbymrYy8pAZie/POHuptdnDqZbsvsTbN+SfBQ97MLOs7ZStIWF2cnIxmLyUmonu84ZytJW1wwZzwJ31u1sTAIPOkAkOnFxcyMmYY9VRvDqMHgsumUM9ML2zJlnf2bQxN5BLLpgcpEdji5r9nQ4GKYjxYZhOA+uh4mNfFi5JSi5PPgPl3/tuGt7QE8t+3nu4LMSMlLn4wAk/Yzu8JmA0aMk5EhL+jkOwD+DWXpvjOlI/LuwL9DbiBBnCdP8zanLfjAaY3O5IkGm7iTTT/4BACaZx84pd4ZLwYMrxd00CPTnIQrHG8u3UCDm8NJRq1zsKzWgszIgOC1M8EDY5rMiFJjtVt+ylkGgA1G5SR5OvKvBP6lA/BgGc7o4dykTuSpYXvIOYPzIIwGR7TDYdCeqs06XwKpS54AYMnQbGTECiWGpLAkddn0kiETu6Jkb1KwPFqzW5LI7AJAM5IFOMmWRIPP2m7A99p+vrdmtbI4eg4w0iXTC6OZEWsCcBptP98bdGZVQAGiMh+naAvzrcw/PHtKsLyr0sQQatDBZdPpB/djKMKHCoBOqcvZVbaQgYWMH5CUAcBbQwaOEpQfTIohdlcsKPCRdcbZNwaA7NnQYemd9zSW2aPIWvyZkf4zOQ2bJ08vE9OG2AfObHYuAObBnD8gwbI6xD5w0+ENSeAABMsAoAYbhN7s3IBBb7DvkwHBqwRBpV6fBm/we5AB2fhoIBVTO+CllIb+VVMe8MyNk7hO5L9queEpojYAwb2iENQ19iAktQ6ykYqFxYHERRkA/w5lNEwENZGodZCNVKywHocMANlrq9Fqjk8ZpM3I0zj7IuUsDsDISIjXbQBWpe3nbfVZA7A/LBnKYBRF+CAA9ac0jWBkepx9kU8/07u4YKKMHBw+CWZSsLyzPGk9pEymFxVNWDBQV4IOax3xBuQ0MwxoZsII221R0YAPBVWtc3C/q9JskWnVBMyhhBG226KCAYCgqgd72iT/7qqw5jcKfAAk9YYni4vs71sL8bb7d3fFQhENqH6wzw3AHpGGzZOnl4llSmz2UMHpPMSVkxQl5WJabkaAN2d37k7FZTnqUPrBEQCYI/sAAHLW3MBrlNjfmeOKGqUUmeD34H+HtE0bZjhMa8+UYLliuaFkxBwQvJx0GtYY4DltP9tVboaZEW1A1oOllQAAqlsHrGrbz3ZXm5HMSPp4CSEgAckg1AMa7XsaI0+D0SwCAAqmBscYgk2D2sFJwdGeSiSTMwD+XVLMoAkTFRrUDk7GW2uR6UHw79IhEx5UjPKOZZOD5bbmIen7d+mQCYBg7zRSToZ3nH0xAP5dVGDB8ihhdbJTyYg1UM0BFgWDfcdCvFPJyJJovVPaZDogI+NKZ/9GD4OQXwSoUsevzmoc74Q61b+U0na85lDqNchp2Tx5eplYfiEL7of9zuSJkxQeVKdthQUBXm90imwEAPIc7/BgBMu5EYYj741P0Vj7PkXBZX7PBb9X2sZxmH59isZ6rO6Exam5BYPh32wwCFml7lTZSLkZBnPa8GCs39zwErg02D5r7dmyXdGHywAEGwCgGSZqNDgxnhJ8WgMVzAHAgqF8a1DujMHGYOBdVMy2pE+TZTnVwSIjWUNFMaNNKzXcPWBkjwdz0+HdPjFYZGTZMJNn7fA7491ZGSyyt2yI4d3pd16/0cOgQcDbWg8l9o0OZG+QDlc4Od3TAa/v0zZZ70D4N8C7t0PTk6rlwnL9yHpI379p2Tx5epnY8JL9AABF1OHbjSk/5zKi7IAE90OL9wUA6JgaLLuej+Gg2LMYXJe2lRYth0cJ06lP0ljvqVlYFARHhYWDgXdkZCEaNKhVmCLDaD28taHBIE+LS0MYp1w2MinYKA/WwwUAlpVykWB5sB/eADBsYNqOWrsH7OENzNw0gskMBwvvkhnwtmcaBgjvNB3hdkwMFl5TU2dswrBjwPy7uGAGs31K7Bud/DsgneCAFtl7yQ0Gz07ZfweTnL7kTc1Eej7F3upgHV5xsrfD53hb63ei4cDx6ED5t4V36vONN4vYTx+MZidp2jx5epnYggVLYFHWJWti15a2n1mOG2YaRpasSBxbJ1s8UsIEZYPY3PH22VTRk/uhASEjS4YjwXKlvZ12NNhQhwYjM7J0KINd/OFdae8It6PcHKiTcICdfrbwtvt3Z7k5ULIRAFg6PL1/d5WbWEIGo9MTt5KBVpOASf7dVZ4kcxkAW1I0p/dvJerfwVi/i9vwtvv3pYnBW79LiplWcN9hf1gyQMEcEKwHBDKiTvvDAK1fTVWwqDDD+i1bA+XfhXkDukqwi071r+V6GKs7A0VGlgfkaasTkL2If/dWLfgUA+Vfntl7weZ4W/7lnQH3N4K6wwHwLydPLzoB2Yv4d8cE62h5UIaPXUjfv2nZPHl6mZihq9hJWKHh2I7n2362a9dOFAhb9MNLD0gaWkdbkDewnTK8lV0vtP1sx96xcPq6MjIYZG9JMRPitUe3tv1s51gVyxDIJYf3SxpaR1s2nMF2MLx0Ylvbz3aON7AvCbJnA4J36XDLv5h4se1nO8sW9hkwvMuHonjb/burYmEfEtTGDQjekkFbeMvt/t1VaQ6cf/cpZaddDy+NNwbOv9H9YbJ/t08MIN4hEy9Ng3dHefDW79KhDF6iQQF7ZD1QSrFjojlweJcNZTr6t2a5qFgu9h0gvIpCsKTY2b8807BCGRy8w1kdGV3puD9wMnKQHhyuDADe5SVWE/S8E5DTyHrYPsFUQgOFd5jhfboZHBZH/PsSJ0/G4OBNy+bJ08vIxnR2alHdtbnt+3tf+jP7ORkGMXKJ4+pkqkKwV2OnFpWd7XgndrCvGySb+kwUbkNZDTvAOsJVdz3f9rPy7q3/f3t3HhxXde8J/Ht7US9aWmq1pNa+2AJhvGKz2QabYDshEJKQgQFCIEslgWCCIASokAqGKjA4BUkFJywZJuYNcZw380wG8ioEQRwTxyE4xgYvIHmRte9qqVvqRb2c+ePe2+q2JNN6g7kH/P1UUaBW2/XV5afu8zvn3NMwKwIxWKSYOQLUwVyX9uYSGU5fifQP98GuaIcc5MmxsufNm8wrRtKbU59vCPmKdt+WLHldKYOjk5qnwdHA5Ey4S47mv8CGGfN2+8ZRKtFgDgDK8u3ohp43vR66fanNvxzXtzzfMeP17RmRrzktSR3cp1zfeEKgPxCR7vqW5NnQLbSPX0i5viPBKCKxhHyTQTNc3z7tA1Erks2IHNdXfT2ben37/NrKiFmeyUFFUVDmcqArmXfy+vZog/vKZF7jr2+OzYI8uyUl7+T17R7R88rz+quv7LVG9WY6Na/a7JVLVr9GYPP0KTJuV+9fiQ6lD5aD2mDfZ5FriTWg5Q0Ppa88BQfUr0esxp+Uo1MUBaNZamMUHkzPq3/tzzL+M1x0jiwzhszq/+/wQHreiHa9x6wew4+d1RXl2tAN9YS18En1G/Opb44RSy5gN/bYWV2py45O7c0wflKzFx7qhEkRiJuy1NOTJJCfJaZ98waA4HAPspQ4hGICcuW4JzJ9cJSeNzA6lFxJl2GwAagrZdPlDUfjGBsfQ5G2ki5L3oqC6Zu9gUAEIhGXbiU9vRmZzNvrDwMQKNMHc/lyDOZK8mzT1oPejEi3UuayT5tXXxmRrfmfafKqyxcEAJTqeSWph7KTJ1e0Q7K6RtS8XiHPZIXdaoYnJ6V+/V3Jz1bT66E4oR2SJEk9GEGOkR59JGI56qy8ctJgI+pTB6Pjdjnux9FFs9W8YiQ9b1zLG3TIlXdCu756Pp3QZr5CTjkGnrqQQ21OYyfl1Wfqwtny5LWaTfDb1Ob05Osb15qnCYnyurOz0K+ozV7spJU9MaJ+Hc0pl6b5T115Sr2+iYSAKaBuy4hnew0/JleX2oykbjv1h6PIm1BvYBaOQkCSlfTygulnwlO3lAlrNuAoMCLeFBWpeUdSZ+5DKIEPFiUBYZJnJb1ipuvrD6MAATgwoT4gycp0qcuObuh5u5Ifv9A9EoITYbig3eMiyeBT3Wao5Q30JD9+oWM4BCtiKEjIs5IDqFvLknlDw8kTZTt9IShIwB2Ta3Bflu9Ar74tMhoEQuq2N33lKT+qHSIhyfUtL3BgAPlIKBZAxJP3PXVpeV1R7RAJSa6vEdg8fYro9wfZguk31OozM9EcOd5YdKZ89RfPOpa+596sDeZikuXVXygsgZPy+tUDL+KSzNrrhJbXdNI9DfrXQpKBhi6Wo+ZV/OnNtF4PiiSziIC6Epls5lIG95FYHA7t90+vbxnYzEiunKYOPgfGIslZRLMk9xcC6ffsYbRjcqbWF0rOgisSXd/UbXvC352cqe0eTcnrqpCmma4ocE7OhI/3A1F1UKQ2e9oseG4ZYDIblDBdZYFz8h6XiB8Iq6ctqvWgreLklEizkl7pdqJXFKgf7BuPJE9obR8OTm6RtbmkWkkfQi6iihWAALT3tA5fECXKsHrKrNkGOOVYSS912RGAE2H9g3211+BOXwge+GERUUAxAblynCZb6rIjgqzJD57VXoO7fCHkIghbXDuAwSXHe3J5vh0JmDBu03Yrade3ZyQEGybgiHDbHpunTxGbRz0MIjeSfrqPbVx9IZRpsAEAdi1vTjg9rz2ZV65fTD1vdii9ObWNq4N7q1uOwzh0tkI1jyMlbyIhkl/r35eFrbBK/XewJzlYHg1FURDrT/u+LPT6zAr2JWdqu0cmVxqsbrnyJnLVN2Zz2Jc2U6vnVSR6I7SaTUhozamSNlObeviCPHk9OVkYtRQiJkxQErHk8b49I/IdZgCozZ4PuZMfZ6BNqHT4gsnDDIQkAzlAbUaCsMOnf/aXNphrGxqX7n4nAKhyOxGDBYP6CYHaYLl9OChl3urCbAiYMKCkb93rGA6iHHr9lkuzLb1MO4Rh0Kyu/uvXt3MkmNL8lwJmqxHxptDz6lvp9evbNTI5uQKHG8jKNiLeFOVa3mH9Vo/RDggh0D0SglfRViGtTmlW0o0gx28CfSRcJbUAAE+8P+2DZ/VmyuapMSLWjPK8al53fCA5UyuEQG5EHdznaj+PLPJK6tR/x4eTM7XhaBz52hJ2nmR5Xdr1dcQDQFi956LXH4ZXqCsN2cU1RkWblqukGgmhwJKYSH7wbEfKYEO25rSwpBwRYYGCxORMbUpeJV+u5sldWAS/0D4NPuXNW8bBHAAUFrgwILSZeX2mdiSECgnzKoqC0vxs9EKbWda2wrUNByfzSjQZlG2zoMCZNWUrXOvguHSHRQDqzL3ZpEzZanhiSN5mBAA6Etpq2cg0zZNE9VBTqG5/bY+nH3LR6QuhXNG3wEmU16Pm7Uik10OXT87Xs4oC9XU3tX5j8QR6/WEp8+rNXq8y+fowGopifCKe/vogyUq6Edg8fYqUVNUjJkxwIozxIW2rXiyOspj6357Ks42MN0VRaQ3CwgoL4hA+9RCDofEJVAq1eXJXnmVkvClKvGWTg89h9QTDtqEgahU1r9M7x6ho0yot9kx+sOTQUQDpec2FdUZFm1ZVkWvyzUXL2zEcRJ2WFwU1xgSbQY0nF+1C2wqn5e30hVBnkjNvrSd7mrwp19ctV/NfU5iNNqHd96jlPT4wnqxfFMiVt7zAgROJ9Ot7fGAsJW+NMcFmUFHgRNtJ9dA6OHl9Rb48kxUWswll+Xa0CW0mPPl6No5aRdu5IFE9FDityLVZcOKk66u+/up5a4wJN41KtxOKAhyPT17fREKgyxdCrUm+vHUedQWyeWLy/WIsEoMvGJWyHqbL2zMaRjwhUG/W7h+S6PW3yq02py3RyXo4NqBuLVzi1JonierBCGyePkVcuTnoUtTBRs/RdwEAXV0dKFDGkBAKPNXzjYw3RZk7B8eFujVnuO0AAKC9uwel2rKwzTvPsGzTqXQ7cUyoW1kmeg8DANr6hlGlqNvKlKJzDMs2nSq3E0cT2qEcAx8AADoGRycHy0VyNdPVhdk4qtUDtLztQ+OYo2gfolzUYFCy6dV4UvM2AwDahscxV9HuMZPs+tZ5pl7fo31jmGvS88p1fecU5+BoIv36HhsYk/b6zinKwVHt9UG/vscGxlGvyHl9K92OKfXbOjiOeq0ehEeu61tZ4Ey7vomEQNtQUMrrqygKqgqdOJbQ8zYjOBHD4FgE9Yp2j6RE9Wu3mlHmcqRd375AGBPxBM6S8PWhJM8Gh9WMIymvDycG1a3I52bp7xfyXN+6InUl8kBEmwwa+AAtfeqhIUscWrMn0fWdW6w2e/8a17ZFDjTjaL/aPC2ya82eRNfXCGyePmUG7OpsYaDjoPp163sAgH5zMUw2OU6m0mVZTOizqVubRrTmaeiEmttncgOOfKOiTcudnYU2k7p1wdem5hztPAyzIhA05Uj3adsVBQ4chfrmEuxSm73R7qOwKTFMKDbAJde2surCycFRrE8dfA71nECuEkJcMQNuuVbKaj3ZybxCG3x2dXWiUNFO0vLItXJa53HiSELbGjLQAgBo7+uf/MBOyfLOLU5tRrTmtM+HakXON+/6kpS8gy3q4H7QL+1kxVkluWnXdzwSQ58/jDmKnM1TdWF2cjIIgy3oC4QRiSVSmn+56rfK7ZxsTgeb0TakHkt9llkb3Et3fVPyDrSgpU8dLDeY5atfRVFQ68nGkWQ9NOODXvV19xyLfHmzbRZ48+wp9dCCI1ozcpa+U0Gi19+KAidsFhM+iGkHbgy04JiWd66EkxVGYPP0KRN0zQUwudIQ0gbNQw55loRTjefVAwCi2mA50vs+AGDYKddAGVBfsMfy1K15es6JXjW3L7tOuv2/NosZPu06BrvVOgj1qP8O5NRKc/OvrjA7Cx0WtaEL63m7D6n/zqkBLFlGRZtWVcpKpF6/Ua0eIjkV0tz8q0tt9hIDzYgnBES/2kTFnUWA021kvClSmycx0IxAOAp74IR6jHZWrjQnaenOPqkZ6R4NwRPrg02JQljsgETb4ACgwZs32UwPtuDE0DiKMYI8JYQETNJNVswry8MRoTf/zTjaF4ALYyhS1JP3ZBp8AkB9cU5K3hYc6hqBA2GUQ7uHSLLBZ3Vh9mQ9DB9Dc9cQrIihQujNiFx5a4uycUT/fRvpwLHOPihIoCKmr+zJlXdO8eTrL8b60NndBUCgLKZ9DqNEec0mBXOKctAqStXP/4uMYrBHzemdkC+vEeQaPdH/N1OxWtDZo8fUrwfVGdtwfr1hmU7FXKy+4TlG1D3hijYjHnXPNSzTqZi162vzHQEAiH51sJwolOuNW2cuVmffrEMtEELANKheX0WiWTmdoihQtAGQaagZ0XgCdq0uTMXy5c2ymBDSJisw8AF84xMoDLUCmKwTmbizs9BvUwfwYqAZ7UNjqE6oN1qbJKyHarcTJxRtMDd0FMf6RpNbtJSis6WbrKgvyZ3cJus7gePdg8ktWkphvTTHfuvOKc3FMX0mPNCDlrYu1JvUvEFbsTTHfuvOLctDq/AiDhMQHsGR48cmZ8HzKgBbrrEBT7KgIh/tohgTsACxEDpbmye3IDsLgexCYwOeZH55HnrgRkhxAIkYBto+QLXSCzPiQFYukCfXR3HMKcqBD3kYM7sACAS630e5MgiriADmLOkmK+YU5WAcDviz1B0qEz0foAgjsMcC6rHqhXKNeepLcjABK0bt6muwGGhGHsbhjGjNv0fOMeXHhc3Tp4yrehEAoCJyBCIeRcGoOnNvLz/XyFgzyqteDADwho8hPhGCJ6Dmza1aaGCqmeVpuQpDJzAWGEF5UG2e8mvkzJuv1UNeuBO9fT2YE1WbJ1mvb37NIiSEAme4H62txzAP6iSAo1yu+/V07ur5iAozsiZGcPzIISxQ1INELJLdr6dzV56NsLDCHAui88h+LDCpzZ5SIl9ei9kEh6caAeGAkoii64M9WGBSry+K5bq/EABcDissucUYFHlQINB5+C0s1K6vjHkrC5yIZ+WiS/v8pMHmt7BQUfP67fKc/KU7x5uHqJKVPJRjvHUPFkpcDwsrXIjDnGyo4517U+pBvt+3xZX5ABS0aKtPlt59WKjo17dBusmK86ryAQBHhLqV3jnw3mRez9nSfOC37twy9eTQo1B3V+SPHJisX3cdYLUbFW1aZ5WokxGtZrUJLR07PPn666qU5jPKjHJam6dHHnkEy5cvh9PpRH5+fkZ/RgiBDRs2oKysDA6HA6tXr8ahQ4fSnhOJRHDHHXfA4/EgOzsbV199NTo7O2f4G88s9QsuhE/kIBshHNr1f9EQVwfLVUs/Z3Cy6dU1LEKfyIcNE2jZ/QoWC3WlrGThWoOTTa9mbgPaE0WwII4Tb/8nLjCp2/dyGy43ONn06mrr0JIohwkCfftexXKT+rtknbva2GAzOKemHAdFDQBg+MBrWGlS7y1Tai81MNXMFtV6sU+oM4ajh5pwiVm9dw+S5l1aV4w9CXWVafRQEy4xyZ33orlFeCuhDozDzW8k6wG1qwxMNbOlNW68lVAHxua2nViZvL6XGJhqeiaTgnmlecm8ud27knkHc+VrRhxZZtR6spN5C/vfSqkH+eq3JM+O4lwb/qHlrfC9jRUS/76dXZILh9WMXXH1/339+L+w0qxd3xr56ve86gIoCrAjoq7yL4ruw6UWeevhojp1kqIppO6uuEAcwBqbOn6QMe8Fteo27lfH1RWm5aaD+GKuuuNGxnr4uJ3W5mliYgLXXnstbrvttoz/zKZNm/Dkk09i8+bN2LNnD7xeL9auXYtAIJB8TmNjI1566SVs27YNu3btwtjYGK666irE4/HT8WN8othtWTjiXAIAsL25EWZFoNNcLt1nJulK8504aFPzWv/2GGxKDIPmIliK5FwSbvDmYa9ZXc2x7X4C2UoEfnOBlDOJALCgwoV/YAEAwPmvX8KlBBEy5QCli40NNoNFlfn4e0JdZXIf/J8oUkYRNdmBygsMTja9pdUF+HtczVtxbBsqlEHEFQtQvdzgZNO7sNadvL713S9jrqlb3dNes9LgZNNbMceTzHvO8OuYbzqhfqNOzuZp1dlF2KXlXRR4E4sUdeUUdauNC3UKnzmnGLu0+l0afgvLTOrk1UCunDsVVsz1JK/vhfF3cJFJvTdS1uu7pCo/mXeF8i5WmOXNazGbsKDChV0J9f1ipekgVlm0iWsJ8+bZrWjw5iWv73LTYayxas2ThHmr3E6Uuex4M6bmvcj0Pi63qgd6yZh3cWU+cm0WvB5Wm+nzTS24TNmrflPCvB+309o8PfTQQ7jrrruwYMGCjJ4vhMDPf/5zPPDAA7jmmmswf/58vPDCCwgGg9i6dSsAYHR0FM8//zyeeOIJrFmzBkuWLMGLL76IAwcO4PXXXz+dP84nxkSVOotRH1fvF+krvMjIOB8qWq0OhObG1YHGUPFy6bYI6MwmBdGa1QCAei2vv3S5dIcv6HJsFoQr1Xo4S6uHcMVy6bY06EpdDgwVXwxgMm+04mLp7r/QzSnKwdHcZQCAsxJqPSTKL5DusAjdgvJ8vGNZDAA4W6hbiETpYmk/Kf7COjfeEur7xzxoeYvnSXeypW71WZPNU4PSrh5u4Z4DSPaBybrPnutN5q03dcGmxCByyzBmk+swDt0XF5djd+JcxIWCOaYeZCsR9f6hEjm39V5zXgXeTjRgQphRoQwiH2OALQ8oO8/oaNO6amEp3knUIySyUKyMoFD4AIsDqLzQ6GjTWn12Ed4Vc+AXDhQoY/DE+wGTVcrJK0VRsGKuB4dFFQZFHnKUMIonOtX7nSRcybGaTVg+txDHRBm6hRs2JYqisLbtlM0TpBpBtba2ore3F+vWrUs+ZrPZsGrVKuzevRvf/e53sXfvXkSj0bTnlJWVYf78+di9ezc++9nPTvl7I5EIIpFI8mu/3w8AiEajiEajp/Enyoye4aPKUn/Z19DZ/GtUoB8TsKD8c41S/JwzqV91PY63PIs6pQcxmFD+ubulznv2yq/g/WPP4hyTerN90dqPN+9s62Xeyqvx7u/+BxZp+5VzLrtL6uu7dNUXsOc/tuB8k7rlNGuV3HlXf+YK7HrlRaw0q7O0yiVy1W9qvVitwJrL1uCNN5bgcvM+AEBixd2IS5Q3ld0MrFy+Av/5zwtwpfltAEB85T0QkuYtcJix8NwF2N68EteYdwEA4it/IG3eqnwbqqtrsbXrMtxo2QEAmLi4ERhQpKph3YLSbLgLi/Fvo+vwDcufAQDxFXcjEY8DEu48uXROAXLy8vF88PO4zfIKACC+vBGJhAAS8l3fLy304mdN2Xh24io0WrYDAOIXr0cCZmCGevioxy+z8fWLKvG//tGGX8W+iPut2wAA8QtvRcJkmzGvkb57SQ1efrcbm2NfwgbrvwEA4ku/hYQ1V8q8X7+4Cn8+1IenYl/GRuvzAIDE4q8hbnf/l/MaWS8fZjaZFCGEOI1ZAABbtmxBY2MjRkZGTvm83bt3Y8WKFejq6kJZ2eTJLt/5znfQ1taGP//5z9i6dSu+8Y1vpDVDALBu3TrU1tbi2WefnfL3btiwAQ899NCUx7du3QqnU67PPvqohEZ6UNrxMvqKV8FWIt/JXycLjPSjquMPGCxeDrOks4iphoYHcVbPdgx7LoIokfPwhVRH+0awfOh/w+9ZinCxnLOeOiGA/d1+fM7/7wgXLcKo53yjI51SQgC7O8ZwzfjvoRTNQ5/nYqMjnVJcADtOhPDfw9tgL65HV6GcW/Z0cQG83hbBDaHfIaeoGu2ey4yOdEqxBLCjI4prg79DfmEZThSvMTrSKYXjwN+7Y/hK8Pdw5xfiePFnpV35B4DhCLBvII7/Fvp3FObl4Wjx56XO2zkOvD+cwA3R/wO304aWkqulzntkVMEHPoHvKv+BvCzgA++X1dURSb0/ouC9IeAHtj8g1xTBB6VfgVDkOtky1SGfgv2DwA+df0QB/Dhcdi2EItU6RpqDet7sP6EwMYjDZdchYZLrY0M+KsFgEDfeeCNGR0eRl3fqAzFm3TzN1Iik2rNnD5YtW5b8erbNU3d3N0pLJ7cNfPvb30ZHRwdeffXVGZuntWvXYs6cOXjmmWem/L3TrTxVVlZicHDwQy/QxyEajaKpqQlr166F1Wo1Og5JjvVCs8F6odlgvdBssF5oNmSuF7/fD4/Hk1HzNOt2d/369bj++utP+ZyamprZ/rUAAK/XCwDo7e1Na576+/tRUlKSfM7ExAR8Ph8KCgrSnrN8+fT7XG02G2y2qfdMWK1Wqf7nyZaH5MZ6odlgvdBssF5oNlgvNBsy1sts8sy6efJ4PPB4PLP9Yxmpra2F1+tFU1MTlixRT2CbmJjAzp078fjjjwMAli5dCqvViqamJlx33XUAgJ6eHhw8eBCbNm06LbmIiIiIiIhO60bL9vZ2DA8Po729HfF4HPv37wcAzJ07Fzk5OQCAhoYGbNy4EV/+8pehKAoaGxvx6KOPor6+HvX19Xj00UfhdDpx4403AgBcLhe+9a1v4Qc/+AEKCwvhdrtxzz33YMGCBVizRu695URERERE9Ml1Wpunn/zkJ3jhhReSX+urSTt27MDq1asBAM3NzRgdHU0+595770UoFML3vvc9+Hw+XHjhhXjttdeQm5ubfM7PfvYzWCwWXHfddQiFQrj88suxZcsWmM3y3iRIRERERESfbKe1edqyZQu2bNlyyuecfF6FoijYsGEDNmzYMOOfsdvteOqpp/DUU099BCmJiIiIiIg+nLznTxIREREREUmEzRMREREREVEG2DwRERERERFlgM0TERERERFRBtg8ERERERERZYDNExERERERUQZO61HlstKPR/f7/QYnUUWjUQSDQfj9flitVqPjkORYLzQbrBeaDdYLzQbrhWZD5nrRe4KTP0JpOmdk8xQIBAAAlZWVBichIiIiIiIZBAIBuFyuUz5HEZm0WJ8yiUQC3d3dyM3NhaIoRseB3+9HZWUlOjo6kJeXZ3QckhzrhWaD9UKzwXqh2WC90GzIXC9CCAQCAZSVlcFkOvVdTWfkypPJZEJFRYXRMabIy8uTrphIXqwXmg3WC80G64Vmg/VCsyFrvXzYipOOB0YQERERERFlgM0TERERERFRBtg8ScBms+HBBx+EzWYzOgp9ArBeaDZYLzQbrBeaDdYLzcanpV7OyAMjiIiIiIiIZosrT0RERERERBlg80RERERERJQBNk9EREREREQZYPNERERERESUATZPBvvVr36F2tpa2O12LF26FH/729+MjkQS2LhxI84//3zk5uaiuLgYX/rSl9Dc3Jz2HCEENmzYgLKyMjgcDqxevRqHDh0yKDHJZOPGjVAUBY2NjcnHWC+UqqurCzfddBMKCwvhdDqxePFi7N27N/l91gvpYrEYfvzjH6O2thYOhwN1dXV4+OGHkUgkks9hvZzZ3nzzTXzhC19AWVkZFEXBH/7wh7TvZ1IfkUgEd9xxBzweD7Kzs3H11Vejs7PzY/wpMsfmyUC///3v0djYiAceeAD79u3DJZdcgiuuuALt7e1GRyOD7dy5E7fffjveeustNDU1IRaLYd26dRgfH08+Z9OmTXjyySexefNm7NmzB16vF2vXrkUgEDAwORltz549eO6557Bw4cK0x1kvpPP5fFixYgWsViv+9Kc/4fDhw3jiiSeQn5+ffA7rhXSPP/44nnnmGWzevBnvv/8+Nm3ahJ/+9Kd46qmnks9hvZzZxsfHsWjRImzevHna72dSH42NjXjppZewbds27Nq1C2NjY7jqqqsQj8c/rh8jc4IMc8EFF4hbb7017bGGhgZx//33G5SIZNXf3y8AiJ07dwohhEgkEsLr9YrHHnss+ZxwOCxcLpd45plnjIpJBgsEAqK+vl40NTWJVatWiTvvvFMIwXqhdPfdd59YuXLljN9nvVCqK6+8Unzzm99Me+yaa64RN910kxCC9ULpAIiXXnop+XUm9TEyMiKsVqvYtm1b8jldXV3CZDKJV1999WPLnimuPBlkYmICe/fuxbp169IeX7duHXbv3m1QKpLV6OgoAMDtdgMAWltb0dvbm1Y/NpsNq1atYv2cwW6//XZceeWVWLNmTdrjrBdK9fLLL2PZsmW49tprUVxcjCVLluDXv/518vusF0q1cuVKvPHGG2hpaQEAvPvuu9i1axc+//nPA2C90KllUh979+5FNBpNe05ZWRnmz58vZQ1ZjA5wphocHEQ8HkdJSUna4yUlJejt7TUoFclICIG7774bK1euxPz58wEgWSPT1U9bW9vHnpGMt23bNrzzzjvYs2fPlO+xXijV8ePH8fTTT+Puu+/Gj370I7z99tv4/ve/D5vNhptvvpn1Qmnuu+8+jI6OoqGhAWazGfF4HI888ghuuOEGAHx9oVPLpD56e3uRlZWFgoKCKc+RcUzM5slgiqKkfS2EmPIYndnWr1+P9957D7t27ZryPdYPAUBHRwfuvPNOvPbaa7Db7TM+j/VCAJBIJLBs2TI8+uijAIAlS5bg0KFDePrpp3HzzTcnn8d6IUC9P/vFF1/E1q1bce6552L//v1obGxEWVkZbrnlluTzWC90Kv+V+pC1hrhtzyAejwdms3lKR93f3z+lO6cz1x133IGXX34ZO3bsQEVFRfJxr9cLAKwfAqBueejv78fSpUthsVhgsViwc+dO/OIXv4DFYknWBOuFAKC0tBTz5s1Le+ycc85JHlbE1xdK9cMf/hD3338/rr/+eixYsABf+9rXcNddd2Hjxo0AWC90apnUh9frxcTEBHw+34zPkQmbJ4NkZWVh6dKlaGpqSnu8qakJy5cvNygVyUIIgfXr12P79u34y1/+gtra2rTv19bWwuv1ptXPxMQEdu7cyfo5A11++eU4cOAA9u/fn/xn2bJl+OpXv4r9+/ejrq6O9UJJK1asmPLRBy0tLaiurgbA1xdKFwwGYTKlDxfNZnPyqHLWC51KJvWxdOlSWK3WtOf09PTg4MGDctaQYUdVkNi2bZuwWq3i+eefF4cPHxaNjY0iOztbnDhxwuhoZLDbbrtNuFwu8de//lX09PQk/wkGg8nnPPbYY8Llcont27eLAwcOiBtuuEGUlpYKv99vYHKSReppe0KwXmjS22+/LSwWi3jkkUfEkSNHxG9/+1vhdDrFiy++mHwO64V0t9xyiygvLxd//OMfRWtrq9i+fbvweDzi3nvvTT6H9XJmCwQCYt++fWLfvn0CgHjyySfFvn37RFtbmxAis/q49dZbRUVFhXj99dfFO++8Iz7zmc+IRYsWiVgsZtSPNSM2Twb75S9/Kaqrq0VWVpY477zzkkdR05kNwLT//OY3v0k+J5FIiAcffFB4vV5hs9nEpZdeKg4cOGBcaJLKyc0T64VSvfLKK2L+/PnCZrOJhoYG8dxzz6V9n/VCOr/fL+68805RVVUl7Ha7qKurEw888ICIRCLJ57Bezmw7duyYdsxyyy23CCEyq49QKCTWr18v3G63cDgc4qqrrhLt7e0G/DQfThFCCGPWvIiIiIiIiD45eM8TERERERFRBtg8ERERERERZYDNExERERERUQbYPBEREREREWWAzRMREREREVEG2DwRERERERFlgM0TERERERFRBtg8ERERERERZYDNExERERERUQbYPBER0Rlp9erVaGxsNDoGERF9grB5IiIiIiIiyoAihBBGhyAiIvo4ff3rX8cLL7yQ9lhraytqamqMCURERJ8IbJ6IiOiMMzo6iiuuuALz58/Hww8/DAAoKiqC2Ww2OBkREcnMYnQAIiKij5vL5UJWVhacTie8Xq/RcYiI6BOC9zwRERERERFlgM0TERERERFRBtg8ERHRGSkrKwvxeNzoGERE9AnC5omIiM5INTU1+Oc//4kTJ05gcHAQiUTC6EhERCQ5Nk9ERHRGuueee2A2mzFv3jwUFRWhvb3d6EhERCQ5HlVORERERESUAa48ERERERERZYDNExERERERUQbYPBEREREREWWAzRMREREREVEG2DwRERERERFlgM0TERERERFRBtg8ERERERERZYDNExERERERUQbYPBEREREREWWAzRMREREREVEG2DwRERERERFl4P8BkuPmg2ZSvPAAAAAASUVORK5CYII=",
      "text/plain": [
       "Figure(PyObject <Figure size 1000x400 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 1000x400 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 600x600 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "D = 0.0\n",
    "\n",
    "periods = 16\n",
    "b = 2pi * periods\n",
    "\n",
    "# Note: In the notes on systems, the second order methods were tested with 50 steps per period\n",
    "stepsperperiod = 50  # As for the second order accurate explicit trapezoid and midpoint methods\n",
    "#stepsperperiod = 100  # Equal cost per unit time as for the explicit trapezoid and midpoint and Runge-Kutta methods\n",
    "n = Int(stepsperperiod * periods)\n",
    "\n",
    "# We need U_1, and get it with the Runge-Kutta method;\n",
    "# this is overkill for accuracy, but since only one step is needed, the time cost is negligible.\n",
    "h = (b-a)/n\n",
    "(t_1step, U_1step) = NM.rungekutta_system(f_mass_spring, a, a+h, U_0, 1)\n",
    "U_1 = U_1step[end,:]\n",
    "(t, U) = leapfrog(f_mass_spring, a, b, U_0, U_1, n)\n",
    "\n",
    "Y = U[:,1]\n",
    "DY = U[:,2]\n",
    "y = y_mass_spring.(t; t_0=a, u_0=U_0, K=K, M=M, D=D)  # Exact solution\n",
    "\n",
    "figure(figsize=[10,3])\n",
    "title(\"y for K/M=$(K/M), D= $D by leapfrog with $periods periods, $stepsperperiod steps per period\")\n",
    "plot(t, Y, label=\"y computed\")\n",
    "plot(t, y, label=\"exact solution\")\n",
    "legend()\n",
    "xlabel(\"t\")\n",
    "grid(true)\n",
    "\n",
    "figure(figsize=[10,3])\n",
    "title(\"Error in Y\")\n",
    "plot(t, y-Y)\n",
    "xlabel(\"t\")\n",
    "grid(true)\n",
    "\n",
    "figure(figsize=[5,5])  # Make axes equal length; orbits should be circular or \"circular spirals\"\n",
    "title(\"The orbits\")\n",
    "plot(Y, DY)\n",
    "xlabel(\"y\")\n",
    "plot(Y[1], DY[1], \"g*\", label=\"start\")\n",
    "plot(Y[end], DY[end], \"r*\", label=\"end\")\n",
    "legend()\n",
    "grid(true)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The errors in leapfrog have an interesting feature: they are largely in timing, with its solutions rotating a little too fast, while the orbits stay on the correct circle:\n",
    "leapfrog respects the conserved \"energy\" $E(t) = \\frac{1}{2}(y^2(t) + Dy^2(t))$.\n",
    "In the section {doc}`ODE-IVP-7-multi-step-methods-Adams-Bashforth`, this behavior wil be compared to a more \"typical\" methods.\n",
    "\n",
    "In some situations, this respecting of conserved quantities is very important, and the so-called **conservative methods** like leapfrog are then good choices."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### But with damping, things eventually go wrong!\n",
    "\n",
    "This is an example in **instability**: reducing the step-size only postpones the problem, but does not avoid it.\n",
    "\n",
    "In future sections it will be seen that the leapfrog method is stable (and a good choice) for \"conservative\" systems like the undamped mass-spring system, but unstable otherwise, such as for the damped case."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 1000x400 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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bShxasNbV4NqfJwSj6uvGjyKvR0ztHdaZfcMttrl/jUubS82XZZwOQ/edEDL9OqtVVFTooosuUklJibKzs1ts22ZJzvXXX6///Oc/Wrp0qfr06dNkm6YqOfn5+SouLm71jdgtEAiosLBQU6ZMkcfjiWssSA6MGZjBeIEZjBeYwXhpWx9vOqBLn1zW4NqG/5kaVV9Dfr0o4rbXnjpAcyYPabHNBY9+quVbD5mOw+NyaO3cKaZfZzWfz6fc3NyIkpw2ma52ww036NVXX9WSJUuaTXAkyev1yuv1Nrru8XgS5h9lIsWC5MCYgRmMF5jBeIEZjBf7PbF0s/767sZG19vi++5yulq/T5SLaxxyJMTYMRODrUmOYRi64YYb9PLLL+u9997TgAED7LwdAAAAEDe/eW2tJf0EQ2G98+VeU68xot5WIAJJuPGArVs9XH/99XrmmWe0cOFCZWVlaffu3dq9e7cOHz5s520BAACAhHHOgqVau9MXcftH3t+kn/xjuY0RmZNsB4FKNic5Dz74oEpKSjRp0iT17Nmz7s/zzz9v520BAACAhPH59hJd/XRRxO3fXLPb8hjeXLNLy785GNVrHUlYyrF9uhoAAADQ0R2oqIq4rdUfob/eV6ZrnlkR9euT8ZycxDiZCAAAAIAtth+MbalIEuY4JDkAAACA3eI55SvW2VXOJCzlkOQAAAAANrN19zNZP8WtgeTLcdrmnBwAAACgvVqzo0T//HSrZf1ZnRDF2lsS5jgkOQAAAEAsznpgabxD0Hvr92ni4FxNHJxred8OpqsBAAAAaGtrd/l08WOfKBAKN34yxlIO5+QAAAAAiJtgyPrFOVRyAAAAADRSGQjrR39fpspAqM3vHesan+RLcUhyAAAAgDZRuHaPni/a1mq7WHZKs2MXtyQs5JDkAAAAAG2ltDJga/9hW7aSTr4shyQHAAAAaCfCNhyYw8YDAAAAQBIwDEPz31in5z7dqr2llQrbUwJpc0YTm6vFKhmnq3FODgAAADqcFVsP6uHFm+oenz2qlx64cIzt942k0BJLMaapSk6sxR0H09UAAACAxFdyuOHamP/7bGecIrGWHdPVqOQAAAAACe7et9ZrwbsbLenL7o0EzGpq1l2seY8zCbMcKjkAAADoUJpLcPaX+U318976vTpm7iJTr7F75Y9hQyUnGZHkAAAAAJLG3vW2Xl65PeL281//0tL7+4MhTf/z+1q7yxd1H01WcmKISUrO6WokOQAAAECN/3ltXcRtrT54c/H6fVoXQ4IjsSanFkkOAAAAUCOe072sSFCa3l0ttn5ZkwMAAAAksGDIhoNkTLA7h7Kj/+RLcdhdDQAAAB3EY+9v0j1vrresP6sTCiv6s2e6WvKlOVRyAAAA0CHc9Z91qopzJWfpxn1atuWAbf03tfFArJIvxSHJAQAAAKISTT5RtOWgvvfQR02uk7EiP2lyTU6snSZhlkOSAwAAANQ4WBHQrS9+bvvanZAdJRc1vckAh4ECAAAAHdxzRdv06mc7W20Xy0f/Js+zsWRNTlP9xtZx8qU4JDkAAABIcKGw0eZbOx8or2q1TSwR2bFBQHP9xlo0SsJCjr1JzpIlS3T22WerV69ecjgceuWVV+y8HQAAANqZiqqgTvzdO7r4sU90X+FX+mpPabxDskRT09WsOFw03MQsu1gTKkcS1nJsTXLKy8s1atQoLViwwM7bAAAAoB0yDENvr9urPT6/Pvx6v/78zgZNvW9JvMOyRMiGtTNSc5WcGJOc5Mtx7D0nZ/r06Zo+fXrE7f1+v/x+f91jn88nSQoEAgoEApbHZ0bt/eMdB5IHYwZmMF5gBuMFZiTzeLni6eVaunF/o+tm38veUr/uXfSVqdcEQ6EW7xMKGwrHMA/M7w8o4Dqiz1Ao6v7q+q1q+Ln5T4Ub9OCSzTH3mwjjx0wMDqONJjg6HA69/PLLmjlzZrNt5s6dq3nz5jW6vnDhQqWnp9sYHQAAABLNjR81/fv4aX3COrVnWOkR/rr+4XVOrT1kbgLTuf1COr1X0x+T/SHprpUu+QLRlzjuHhdUpqfhtRXFDj29wdX0C0yY1iek6fnVsTf3PTSjd7qhm0fFnoDFqqKiQhdddJFKSkqUnZ3dYltbKzlm3XbbbZozZ07dY5/Pp/z8fE2dOrXVN2K3QCCgwsJCTZkyRR6Pp/UXoMNjzMAMxgvMYLzAjGQeLzd+tKjJ629ud8rVuZfu//7IiPr54/r3JR02de8RI0ZoxsT+TT736me75Pt0tan+jnTa6WeoW5a3wbXw57v09IbY+pWkN7e79MBPpkpq/ntoRk5OtmbMmBBzP7GqneUViYRKcrxer7xeb6PrHo8nYf5RJlIsSA6MGZjBeIEZjBeY0d7Gy/JvDkX8fhxRLCpxOp3N9u9yxV5tcbndjfp3ua37aG7lz9rVwveiLZmJIaGSHAAAAOA/n+/Sw0u+tqy/Nt59OiJ2HQZqBzYeAAAAAGJ0/cIV8Q5BJYcDKvcHleG15+Nyk1tIJ2I2Jg4DbaSsrEyrVq3SqlWrJEmbN2/WqlWrtHXrVjtvCwAAgHbOkKHKgH2L4f/67tc6+s63mr13rOw6DNQWSVjKsTXJWbZsmcaMGaMxY8ZIkubMmaMxY8bojjvusPO2AAAAaOf2+PwaccebKi7zt944AbXFdDWrKkPJl+LYPF1t0qRJCVt2AwAAgLWKthxQj6xU9e3aNkd/GIb0xupdunRC/5bbxVB5CYcNOZ0NP+bbdWin1R+brcqjnEmY5bAmBwAAADHbsKdU5z/0kSSpR7ZXP5s6TN8flx/nqKrFkjwEw4ZSbEhyQuGGjz/ffkj/Wb0r9o7rCYbDrTeKQDS708UbSQ4AAABiMuf5VXpp5Y66x3t8ft38789NJzkb95bp5y98Zuo1reUbL63Yru0HzZ2RU1+TGwRE3du3jqzknLPgAwt6PeIe1uQ4STldzdY1OQAAAGj/6ic49f30nyu1x1cZcT83/HOlVm07ZFFU0rItBzTnX+aSpiNZVQ050uNLN2v97lJb+q5lXSXHkm7aFEkOAAAAotbS+utXP9upm//9ecR97Y9iE4GWpo59va/MdH9Hsmur538v367v3L8k5n5aYtXmBkxXAwAAQIfxj4+2aMG7G1tss2V/eRtFY4+gTdPV2kJTsUcj+VIcKjkAAACI0q//9wvt8Vm3hXM0H8lX7yjRpmYqNtZsENBEJxZnOXbtRmxdJceSbtoUSQ4AAABs883+Cv329XURfZCP5rP+v5dv1+l/XNx0f+a7a8SqakhL7Dozx7pKTvJlOSQ5AAAAHYhhGHp0ySYt+WqfvtztU+DIvYxt8MiSTXp3/V7b73MkSyo5oYadrNvl05IN+2LvuB47EinDMBS2qF9nEmYMrMkBAADoIP7z+S79e/k2vbv+2w/p0wvy9OAlY031s6/Urwff+9rUa4pLq1qNrTiKjQdqhcKGXEeeZ2NBLefIHcqm//n9mPs8kh2JZtigkgMAAIAO4PqFKxokOJL0xprduq/wK5VWBiLu5xf//kxPfLDZ1L1bSjg+3XxA1y9cYaq/IzWVKFhRyTkcCMXeSSsCIesrOcFwWCG2kAYAAEB7dcDf/Fk2kvTndzZo/htfRtzfyq2HTMfQUsKxdmeJ6f6OZNcuaGf+Zanmv77Ogp6aF7SjkhNum/VEiYokBwAAoJ377SqXbnnpixbbrPjmYMT9RbMbWEuvsOKjeCBo39qih5dskmRPMiJJARuSkWA4rKBFFSJnEpZySHIAAADauUC49Q+pX+4u1WPvb4qov2g+Ot/20mpd9+zypvuz4LN44IipWf5gyNQUvIjuYcO0Msme5CkUNjr0FtJsPAAAAJBgDlVU6WBFQDc+t1JH9cyW1+3UheP7anhetql+gqGwPtl8IOL2d/1nnUbld9Jx/bs022bj3lKVVgZNxVHr9dW7m7xuSSXniATklHvetfQMH0mqsqlaZM+aHEMhi87fScIchyQHAAAg0Yz+TWHd159vr16v8vRH3+ihS47VGSN6yOOKbDLO/W9v0IJ3N5q6985Dh5t97svdPk27P7bdxQzDkOOI0oAVh2EeWQ2xOsGRJH/I+k0IDMNotIObFayt5CRfmsN0NQAAgATx4cZi/eKFz5p9/ppnVujxpZHvavbY0simn0Vq8frYz4exa8rXj/++XO9+WX0Wj12Ha9pRyQmFDcvWztQXtLDf5EtxSHIAAAASxkWPfaIXlm9vsc2Ly7dHfJ5MNJ/1F3+1T2t3+izr70j+YMNqiK8yoD2+ypj7Xb+nVFc8VSRJqrRp22c7ErRAyLDnnJwOXslhuhoAAECUth2oUJk/qAf+u0EFvXMUCBo6b0xv9e2abqqfcn9Qb33R9HqVI23YW6Zxd72tZb+arNxMb7PtXl+9K6rKw0srduilFTu05XdnNnrOisM1/cGwsuo9Hjl3Ucx9HsmuJMeOSk4gHLZlq+dg2LppcEmY45DkAAAAmBUIhbW31K+T73m37lrtovr73v5KV500QLMnD1FWqiei/u743y/04oqWKzhHWrbloKYV5DX53JKv9um6Z2M7XLMpVqxjr58o2DWtrNKmDQLsSHKCNlVyQuGwwh144wGmqwEAAJh05VNFmvi7/zb7/ONLN+uPi75SOMIP8WYTHEkq8web/XAczWGdRzpyIf/ukkptLi6Pud8Tf/dfPfVB9bqiwzZVXOyo5ITDhqps2HggELLuPJv6LF2Tk4RZDkkOAABo9z7dfEDvrNuja/6xXAv+u0HzX1+nLVF8YN9X6td9hV/p/Q3FrbZ96sMtmnLf4hY/cIfChu59a73pOCTp5y98pnMXfNDkc1b8Br+iXtyGYeiE+e/o362sF4rU3P9bW30Pf3RbUbfGjiSnKhRWVdCONTlhWyo5Z/5lqZZsiH2jCCk5DwNluhoAAGi3PthYrDfW7NIzH2+tu/ZmzdqXh5ds0tAemXr8suOU3yWyNTQ//edKfbRpf8T3/3pfuT7dfECnDO3W5PMvrthueovn+tbuarxBQDAUlt+CaVWfbjqgiYNzlZbisqS/ppRX2VXJsT5efzCsKhuSkeqNB6xPnkJho8G4j0US5jhUcgAAQOL4ak+p1uwo0YL/btC76/fqhWXbdKiiynQ/hyqq9PePtujixz5p8YPeV3vKdPI972r+6+taPKslHDb0xNLNphKcWnP+tUpPf7ilyec27Yt9+lf9aWWGYejsBR/oocVfx9zv1X9fpqv/Xr1bme9wIOb+mlJuQyXHMAz5bajk+IMhW9bkbDtQocVfWVNxsYsjCVflUMkBAABRa+pgx2i8snKHXlm1Q+81cw7LwNwMPX3l8erVKU0uZ8v3C4cN/fyFz/T2ur0R3//hJZs0rSBPo/M7Nfl+Xl65Q795bW3E/dVXXFalO1/9Qped2L/B9Y++3q/31kceY3P+d9VOnT68uzpnpKjMH9S6Jqo70fpgY3VS56u0J8mpsKGSUxkIqzJofb+llUEVbTlgeb8/fOJTy/u0XPLlOCQ5AAAgcpuLy7V6R4k+2FCsvaWVWrPTp/5d0+U7HNRF4/vK4ZAuOr6v3K7IJoss+Wqfbn95tbYfPNxiu03F5Tr5nnc1IDdDb84+WV63q8l2Ow8d1tkPLNX+cvPVn/P+9qFmHJOnv108tsH1vb5KFa7dY7q/IwVCYXlqvi/+YEgXPvpxzH1K0s9e+Ewj++To1VknaX+Z+fcdiZLD9lRcyqus73fHoQq9tGKH5f2e8cfFlveZLFiT04y//e1v+sMf/qBdu3bp6KOP1v3336+TTz65LW4NAECHtKW4XF/u9mn97jIdDoS0ZkeJhudlacehwzp3dG+V+4M6b0xvOVupitRatuWAfv/mlyracrDRc/tKqw+mvPPVLyRVb4d81sie+ssFY5rtv7jMr6ufXqZV2w6Zel+bi8s17n/e1nWnDda1kwY1eO7rfWWa++oXUSU4tV5fvbtBdcofDOn4374TdX/1DfnlG5p3ztG67MT+2lMS2WGekfp8e4kkxfTem2MYhg7a0O+SDcX6+b8+s7zfyX9aYnmfHV3ypThtkOQ8//zzmj17tv72t79p4sSJevjhhzV9+nStXbtWffv2tfv2AABYonY+/sHygNwuh7YdqNCAbhnaur9Cx/TJkT8YVnaEZ6JI1WsRlny1T8GwoaItB7Tz0GGV+YPaduCw+nVN1+6SSk0ryFNpZVAXHt9XHpdDQ3pkNdufYRgqXLtH+8r8+ss7G7TH1/hD9NKN1TuCvbGmeuH9z174TCcPydXPpg5T705p6pbV8GBJX2VA2w5U6KJHP1GJyTUZr32+S299sVtXnTRQt04f3uC5pz/coj+8tV5lUa7HKPUH9fs3v9SwvExNGFi9ML60MmDZb9oH3Pa6/mdmgS49oZ+2HaiwpM9ad776hS4e31drdpZY2q8krdlRorv+E92Uupb86pU1evYTaxaw13dZMkzTgqTk3HjAYbS0ys4C48eP17HHHqsHH3yw7tqIESM0c+ZMzZ8/v8XX+nw+5eTkqKSkRNnZ2XaG2apAIKDXX39dM2bMkMcT+f/EElH1Pu/VO68EQtUHRaV6XEp1u+RxOSyZW223UNhQVc0uJ163U163M+HiDgQCeu0/r2vqd6bJm+KRw1G9bM/hUMLFirZTFQzL6ag+vyAUNuR1O1VeFVKay9Arr72hmWdNl9PljniqT61w2JDDUb1LTyhsKMXtVJk/qOxUt0r9QWWmuFVVM1XG2cIYrP0N9qGKKmV63dqyv0I5aR7tL/erpCKgnHSPNu8r11G9srV+d6mOH9BF+8urlJvpVYqr+t9iU7+5r/1fzd5SvzK8bi3bckBdM7zacahC5f6QMrxubdxbqqN75+iLHSU6fkBX7fZVamiPTHlcTnXNSFF2qqdR3wfLq+R2OfT2uj3qmuHV2+v2KD3Fra/3lankcECGYWh/eZV6d0rT7pJKjevfWWX+kMb166xO6R4N6papAbkZSk9xNfiebDtQobBh6NlPtsrldOitNbtV6g/WVSyakuJ2amBuhgZ1y9To/E46bkAX9e+arpy06v9nhA3pf1ft0IHyKj2yZJP2ttBXc4bnZWnmmN46vl+Otqz8QDNmTFeV4dDv3/hS763fpx2HWp7y1ZKeOam68Pi++n9j+ygr1a2t+yt05VNFUcV5pCHdM3XztOEanpel9zcU6/aXV8fcZ63vHN1DFx7fVw8t/lofb7J2vcQt04br929+aWmfkjRxcNe6tS5AMpg5upfuv2BMvMMwlRvYmuRUVVUpPT1dL7zwgs4777y66zfeeKNWrVqlxYsb/sbF7/fL7//2P6Y+n0/5+fkqLi6Oe5Lz6JKv9dInG5Wd00lyOBQKGwobRs3f1R8wQoYhwzBkGJKh6j3qa7+7TodDLmf1326nQ+6aDwNet1Me97dfp9R97VKKy6kUd/X/dMOGavqt6b/m69p7VwRCOlwVUkVVSIeb+PpwIKRAKKyqmg9AzXE6pFSPS163sybxccrrcSnN42zyurde7KkeV138bqej7n61yUggFK752vj265pEq3bv+W+/rm1vHPHacN2HuPpcTofSU1xKqxdDisupDK9LGV63MlPcSnE75HFVf489Lqc8LodSXDVfu6u/DoSqf67+YFgOqe63jNUHrhkqORxQZSBc/Rvdmvj8gZAqg2FVBkLyB6uTR8Mw5HQ4FA6HFZZDDkf1zz5sGEr3uBQIG+qU5lEobCgr1S2PyyGv2yWnU0rzuOr+pHqq401xu5Tiqo6/MhCq3s4zEJbL6aiL1+NyquRwQClup3yHA3I4HHWxhQ1DZf6gqoKGQuGwQmGj7kN27d9HXgvX/N09y6vDgZA6p3vkD4TrPrCluJ1KS6meE5/pdcntdMrlrP4+ej3V33+n06ED5dUflsv9QXncTgVrfoYel0O+w0Glp7jkqwzK43KoKhhWqOZ7V14VlNftqmtf+8Hc6ahOcrcdPKw0j0ul/qDczup/k4ZU93VaikuhsKGMFLecDslbE2/YkHLS3AqEqhMMp8Mht8shfyCsVE/199DrdqkiEFI4XD0my/whSUZNHA6FDEOpNeNcDodS3A4FgtU/y7KaeII1Y9RXGawbS7XjqDUOh5RS88E+LcWlrhkpCoTCdd9vh6q/PxX+kA5UVKnY5Bx8l9Oh3MwUdc1IUShsqFO6R+X+kPzBkPaW+mOee989y6tOaR717JSqcn9QhyoC2u3zR/1b+/p6ZHk1sFuGDlYEtKm43NKdjk4c2EUHKwJat7vUsj6l6sSkzB9sdc2JWeluQ5lpXu0ttX4aUarHacsWvE5H9f/PkqVfANXOHdVT937vmHiHIZ/Pp9zc3IiSHFunqxUXFysUCqlHjx4Nrvfo0UO7d+9u1H7+/PmaN29eo+uLFi1Senpk+9fbZekmpzb6nJLP+vJyvDlkyNC3yVRFTYIk2bOTih1CYUOllUGVVtpzqFg0qg9iq/6+GoYUqsl4a88EqP3tqB3zp61UG2ft93aPBb/VtcrBFsaorybeYiX297cphlF9HsPOkkpJ1edsWCkUNrTH529yOpMV9pb6tbfUr6/2llne955Sv21j8EOLqwC1vrQ4aapVEXSowoYER7LnjBHJvkSEBAew186dO/T669viHYYqKiKfPtomGw8cOS2iue0mb7vtNs2ZM6fucW0lZ+rUqXGv5ORt2a8hSz7V6FEjleJxy+VwyOms/q2y0+mQy+GQy1n9G3uHHHW/da59l2GjutITDldPUwmGw/IHwnXTxvzBbysb1fO+jbpqgUO1/db0WfO10/FthSAtxVVXyWjwd0ptRcCllJpqRW0lI6WmmiFJVaGGFYnqP9VbMPoD4bqva6sYlYHqdlXBb+OvbesPhhUMh+vuUXc/t1MptdUT97fPpbgcNX/Xa+f+ttJSP94jn/O4nPIHw6qoCqrcH6qLofb7WlEVUpk/qHJ/sLoKVK9aFKipKNWvMLlqKgVej1OGIWV6q/+JZKW65XY61Ck9RWmeb+OorVqkuqurLrXVLafDIX9VlZa+/74mnzZJcrq+rVD4g3K7HCqpCMrhkMqrgnVVrLBh1FTean4O9cdCMFxXfaioCsnrdioQrq5wpLicCoYNZae6VRUMKyfdo7BRXcVIqak4ZKS4lZpS/bXbWf2364g/7iP+lqStBw4rPcWlAxVVSnW7VOYPVlcqw4YqqkJyOR0q8wfrqkG1lTh/MKxgqLq6UXI4oDRP9WFyTkd1JSFQ81xFVUid0j0KhsPKSHHXTZnM8roVDBs148Uhw/i2OmoYUm5mig7V9Hs4EFLtZxx/ICSPy6lyf1Apbmf19DBn9esDobBSPS6V+4PyelyqqqlyVQaq38fBikB1NaciKKejOtE4HAgpbFRXTV3O6n/TaR6XHA4pJ82jVE/1NM/s1Or30Dk9RYaqf7NcFQzXfH9Ccjmk4vIqZXndOlgRkNNRXfH1HQ6qU7pHuw9VaP/OLereZ4Cy01IUDBvK8LqVnuJSIBRW14yUmkpsdWUpEAprX6lf5VXV1dpgyFBFIFhX6aydshau6SdsGMpO8yjF5VCm162sVI8yvS71zEmVPxiu+9kGQmFtP3hYaSkubdlfoRS3U3t9flWFqsfkoYqA3C6nKqqCystOrVeNdCo7za1OaR553S7165qmqmD1eN3jq9SBioC2HzwsfzCknYcqtaukMqJDAHPS3BqQm6HendLUJSNFfbukKd3jktfj0vaDh3Wookpf7S1TcWmVNuwrq6ueR/zf9myvju6VraHdM9U5I0WpHqfW7PBp8/4Kfb69JKYDELtmpOi0Yd00qFuGctI8+mDjfn2y5YDpyltThnTPUC9XqSaOGqbnlu3UpmLrEuEzC/J0VK8sPbxkc90vC6wwpHuGThjQRf/4xPoPSlNGdFehie2iAZjTp08fzZhREO8w5PNFvj26rUlObm6uXC5Xo6rN3r17G1V3JMnr9crr9Ta67vF44r4O5tj+XbV7raEZo3rHPRY7pEjKTIt3FNHJkNQl3kE0IRAIKCdF6paTntRjpk/X5hc6wzrV6/42a8a04Uk9XiJlGNXT/6pC1dMny/xBdUrzaI+vUn27pKu0MqjOGSmm+qwMhGqmMlYoFDZUGQhr56HDyu+SrtU7SjR+QBdt2lemsf26qDIQUp/O1f/Ra2590uGqkBwO6a0vdisr1a3F6/dV91lyWHt9fmWlurXz0GGN7NNJ+8v9mnJUD4XC0ilDc9UpPUW9OzX8j+pFJ/SXJH227ZCC4bAefG+TfJUBFW050Gpy1jndo8kjemh03046ZUg35aa7tOitNzVj4gBdefJgBcOG5r++Tqu2l+gzk7uVSVKPbK+unDhAk4/qoUHdMiVJ3x2br6/3lusn/1gW86n0sycP0ezJQyVJxw3M1UPvfa21Fp3lUvTLycrNTNFlTxZpiYUHKt48bZi+O6aPTphvzc5q9dm11gewi8vpTIj/N5mJwdYkJyUlRWPHjlVhYWGDNTmFhYU699xz7bw1ACCBOWrWMqW4qzdYqF3rNbDmA7bZBEeqXk8oScPzvq38j+3XWZI0Or+TJGloC7uTHal2DdS5o3tLkk4f3viXc9EYVRPLY5d1qUnGQtpVclillUF9va9cvTqlavX2Ek0cnKvtBw/rtOHdZBjfvj+pOimu5XY55XZJ884tkGEY+nTzAe0t9etfy7Zp1bZDzU7jPaZ3jvp1TdfPpw5TZqpbuZkNf8nYMydNPXPStOTm0/T5jhJd98wKHTZ5ivzJQ3L1j6vGN7h2zqhemnpUD13/7Aq982X01ZfpBXm6eHy/uh3hnr7iOL29bq9+9PdlUfdZ33WTBkuSHr50rO5/e4NlB2x+ddd0pbidlic5fbuk666ZBclxsCSSTjJul2T7dLU5c+bo0ksv1bhx4zRhwgQ98sgj2rp1q6655hq7bw0AQEJzOR3K8Lo1uHt18jWmb3VSduKgXElSQe8cU/05HA6NH9hVknT2qF4q8wdVURXUl7tKlZvp1cZ9ZRo/oItKK4Ma1C0jop0eu2Z6ddqw7loz7zv6ZPN+Lfxkq177fFez7fO7pOmY3jn60/dHy+tuepfAVI9Lj19+nJZ/c0CXPv6p6VPvR+d30oOXNDyw0+Fw6PTh3fXdMb310sroD4I8fXh3XXZi/7rH3zk6T+GwoWufXRF1n/XVJvaFN52ix5du1nNF1kzfW/yLSbbt3PmH743UL/79uS19IzlwGGgTfvCDH2j//v36zW9+o127dqmgoECvv/66+vXrZ/etAQDo0DK9bmV63eqelSpJOqpXdZWrRxTLXF1Oh04clKsTB+XqrplVKq0M6qOv96trZorW7vTptOHdVe4Palz/LnVr+loztl8XrZ77HS38dKv+tGi9Dla0vOGN2+nQuz+fpF6dmp5f7XI69KcfjNZRvbJ113/WmX6PUnXlxnPEFu6ThnVX/67p2rI/tjNzfnzKwLqvh/TI0hkjeliW5NQmOItuOkUPL96kF1dst6TfL+Z9Rxlety1JTorLqaqQPZtcwFpJmOO0zcYD1113na677rq2uBUAALBZp/QUdUpPUX6X6p1PzxgR/VQ+l9OhS0/op0vG99ULy7br4837teiLPXVbjud3SVOPrFTdfd4x6tkpNaIDVy8/sb8GdcvUFU8VRRxHQe9s3TR5aKMER6qeuvjfn03SOX9dqjU7opu29sntZ6hHdmqDa92zGq9DjtXQHlk6e1RPy5Kc9Jppm7897xj96pXVlu1kN+WoHrpl2jBN/tMSazqErUhyAAAAouBwOPT94/L1/ePyVVEVVIrLqYMVAXXNSGnygNmWuF1OnTa8u165fqL+8dE3rX7gH5CboWevOkE56c0nUE6nQzeeMTTqNT+dmuh7ZJ8czZ48RPe/vSGqPmvdMm14g8eRVtIiUVshumh8X3XP8upqi9Y8/fH7oyJKWJEoki/LMXekNgAAgM3SU9xyu5zqluU1neDUNzq/k/74/VG6/wejde7oXo2eH9QtQ/97/US9+/NJLSY4taYc1UMf3Hq6qRjyu6TpwYuPldftavScw+HQ7MlD6zbIiMb7N5+maycNanCt/iYVVqqt6lghrSbGF6+doOP6R//+m3LfD0ZZ2h+qj0VINlRyAABAuzZzTG/NHNNbP5syTGkpLn21p1RH98pWp3Tzu/j17pSmu2YW6K7/rI3o0NTbp4/Q9GN6tthmWF6Wln9z0HQsUtOJx7F9O+vkIbl6f0NxVH02x9PMRhJR9VUzLXBsvy76ySmDVLTFmgpR7bTAm57/zJL+UC0Zp6tRyQEAAB1C367p6pbl1cTBuVElOLUuOaGf1sz9TqvtfnveMZpWkNdqu1umDdfF4/tGFUtmauPfV7ucDv3jqvE6cVDXqPqUpO+O6a2XrzuxwTW7dtiysvJUu6Pf7TOGt9ISZjiYrgYAAND+uV1OFd50iu49v/HUqFOHdlPhTafoovF9I9rWOSfNo7vPO8bU/U8ekqu3Zp/S5DS4WrHkJLNOH1y3pXmtlCY2ZbCC12Ndv7VbdP/4lEF6+NKxrbQ25+QhuZb2l0ySsZLDdDUAAIAoDOmRpSE9snTykFyluJz6fEeJCnplq2tmdLumXXBcfsRbSh/VK1vD8lo+3DaWyktKE1PTju6VrZMG52rpRounwVmYPNVPxKxMyuZ/9xidM6qXjr7zLcv6TCbJeE4OlRwAAIAY9MhOVeeMFJ06tFvUCY4k3X3eMXp7zimttuue5dVVJw1otd0vzxxRt8DfrKY+1DqdDj1z9XidNqxbVH3W6t81vcFjl4UfoN31Ehsrk6dJw7opw+vW7MlDLOsT9iLJAQAASAAup0ODu2dpVH6nZtv075quT24/o+6A15YMz8vW53OnRhVLl4zm1yxFMgWvOQ9dcqzeuLFhIue06dOox2Vh8lQT5OzJQy2fBpcMkrCQQ5IDAACQSF68ZoLev/m0RtfPHNlTT1x+nKkkw2w1Y9rRefr0l2e0uBlALJ93B+RmKu2IHeHsmgpl7W5wjia/7iiSceMB1uQAAAAkELfLqfwu6Vr8i0lyu5x6b/1enTCwqwZ1y4yqv26ZKdpXVhVR29yslFarRLHkJE0lCEN7ZKmgd7bW7PBF33ETrFyTUz9ZdFlcerpp8lDd9/ZXlvZpNSo5AAAAsES/rhnq3SlNF4/vF3WCI0n//NHxmty79TN9JCk7tfVDUYf0aHnDg5Y0VYVyOR36v1knadrRrW+3bYaVa3Lc9Ss5Fp6M+Z+fnqQbJw/RT89I7LU+yXgYKEkOAABAO9avS7rO7tt6kjNhYFf95NRBrba74fTBEW18YIbD4bB8bY6VH8w9zvqVHOs6rk0q50xJ7LU+sazDiheSHAAAgA6gc3rLVZp//vgE5aS1XslJT3Hr12cdFVUMGV7rDv6s77bpw/XxbWc0uGbl53JnvcTGbWGFqH7C5E7gckniRtY8khwAAIAO4J2bTtITl49r8rlbpw+3/f7/M7OgxfU+sSxunzCoq/JyGvZtV/XBymSkfl9WVogsl8ChNYeNBwAAADqArFSPThvWXeeN6a2Ne8u0ekeJThzUVX/8/ij1zEmz9d7fG9tHl57Qr+VGMXyQbipB6BRBVSoabgt3V3MlSZKTjIeBkuQAAAB0EA6HQ/f9YLQkaa+vUl0yUqKefjW4e6Y27i2L7L4WtWn+tY1f3TXTq4cuGatbXvxcJYcDMfTekJUbGjRIcmxIJAZ2y9CmfeUx95N8KQ7T1QAAADqk7tmpMa0veeaq8bp52jDL4sn0Rv+79+byg2kFeTptWLeo+22KlRUXuyo5KW6nHrrkWL12w0n6xXdi/xklYSGHJAcAAADm5eWk6rpJgyNqOyq/U6tt5kwdqoLe2VHF0pYfwj0WbgPntmnXttd/erKmFfRUeopbw/Oi3/K7VjIeBkqSAwAAANv85tyjdeHxfVtt1z0rVa/dcHJU92jpQ7jVGxBYudV1/b7sqhBZsZ4mgZcLNYs1OQAAAIhaz5xU7SqpbPb5H07ob3sMdlVyvje2j344oeGGCVYmTXZVcuqv73Fa0W8SzlejkgMAAICovT3nVP39yuObfK53J3t3bZOkblle9e+a0ezzsXw8v+C4fI3s08my/o5UP/+wcgczR4N+Legv9i7aHJUcAAAARC3D625yzc2Fx/fVj08ZaOu9pxfk6S8Xjml5x7MYPqE3VbWxsuJSv3/btqa2IHlKwkIOSQ4AAABik5Pm0dNXHq/9ZX7d8+Z6/eC4fN00Zajt93U5HZZu6RyJ7llenTK0m5Z8tc/Sfq3cQrp+kmPF9Lpk3HiAJAcAAAAxO3Vo9VbN543pHdMH6+5ZXu0t9VsVVkyaehsOh0N/v/J43fri53quaJtl97Jk7UyN+nFbUXlKxo0HWJMDAAAAy8RaOXjuxyfo4vGt78YWqWSpQrjt2nigY+47QJIDAACAxDGwW6buPu8Yy/qbFMNhoC19trf6g7+VGw84Ld5dzeptuNuCrUnO3XffrRNPPFHp6enq1KmTnbcCAABAB9Mrgt3bzhrZU09eflwbRBMbKzcecFp8Tk4ysjXJqaqq0vnnn69rr73WztsAAACggzlvTG/dcPrgVts5HA6dNrx7G0QUG7s2HrCi32RMlGzdeGDevHmSpKeeesrO2wAAAKCDue8Ho22/R8vTtKz94G/llLD6M9Ss6DYJc5zE2l3N7/fL7/92Nw2fzydJCgQCCgQC8QqrLob6fwOtYczADMYLzGC8wIxkHS+/nXm0nv10q77YWdrk823xfoLBYLP3CYfDUff7g3G9deFx+Q36DoWCUfd3pHAwqIDDkCQZ4VDs/YVDCTF+zMSQUEnO/Pnz66o/9S1atEjp6elxiKixwsLCeIeAJMOYgRmMF5jBeIEZyTZeMiRd1Ev65c6mP66+/vrrJns0/7F37bIPtOPzpp/bts2paFd+dKvYqm9WfaNvVn17rSwgWfXRfNFbb6n2+KCdFbH3u/7LL/W6b13MccWqoqIi4ram3/HcuXObTETqKyoq0rhx48x2rdtuu01z5sype+zz+ZSfn6+pU6cqOzvbdH9WCgQCKiws1JQpU+TxeOIaC5IDYwZmMF5gBuMFZiTzeDlQXqVfLnuvwbXO6R79dubRmjzC3DqbGz9aFHHbXjmp+sP3CnR8/y7Ntvn41bX6cM92UzHUGj9+vE4Y2LDvgxWN32u0ZsyYXrcuZ+PeMv3+sw9j6u+oESM0Y2J/CyKLTe0sr0iYTnJmzZqlCy64oMU2/fv3N9utJMnr9crr9Ta67vF4EuYfZSLFguTAmIEZjBeYwXiBGck4XrrnuDV5RHe9vW5v3bUVv55i+5bGR/fO0cQhPVps43RGv3+Xy+1q9LPolu3WxMFd9cHG/VH3W8ub4qn7HnlTYv+Zu1yN440HMzGYTnJyc3OVm5tr9mUAAACAKQ6HQ49ddpwqAyH96pU1mjyiR1Ke2RIJh8OhZ64arztf/UJ//+ibmPuqZcXOaMn4Pbd1Tc7WrVt14MABbd26VaFQSKtWrZIkDR48WJmZmXbeGgAAAO1Eqsele88fFVMfOWkelRyO/+L5ljgcDov3bGu4nXS0ki/FsfmcnDvuuENjxozRnXfeqbKyMo0ZM0ZjxozRsmXL7LwtAAAA0MC/fjJBM47Js6y/ZCludNQtpG1Ncp566ikZhtHoz6RJk+y8LQAAANDAsLws/e3isZb153W7on5tS/Uaq6eGWVHJScbDQG1NcgAAAID26LpJgzSke+Ivv7BmTY4FgbQxkhwAAADApK6ZXhXOOTWq17Zl0mBJkmNBHG2NJAcAAACoZ+KgrvEOwTIWzFZLylKOrburAQAAAMnk/h+M1lkje8Y7DMtYsybHgkDaGEkOAAAAUGPmmN6236MtcwYrNjKwfmNr+zFdDQAAAB3GnWcfpX5d0+MdRpuxogqThLPVSHIAAADQcVwxcYBeu+GkeIfRrFgSip+cOlBLfnHaEf2x8QAAAADQ7ll9Fo1ZmanNrxiJZWrY+AFd1PeIKpUV75RzcgAAAIAk9ZNTB9p/j1MG6uheObbfp5bHZcHH/eTLcUhyAAAA0LGkuht/BP7g1tN167Thtt735CG5um3GCFvvcaQUt1NPXnGcBuRmRN1HEuY4JDkAAADoWNwupz689XT96sxvE47endJsn8YWr2lypw3rrskjukf9+nhP74sGW0gDAACgw+nVKU1XnTRA3bK8bTp9rDV25ROxJCqckwMAAAAkCYfDoXNHx3YujsflUCBkWBRRbOw6zyYJCzlMVwMAAACi9fxPJmhUn8SpBNmBw0ABAACADuTYvp31v7MS99wdK1DJAQAAABC1/jHsgtaSJMxTYkKSAwAAACSIC4/L16zTBkf3YpsyGQ4DBQAAANCkSFIFt8upn39nmO2xmJGEOQ5JDgAAANDuxZCosPEAAAAAgCYlY0UkWZHkAAAAADbLzfTqjrOOincYHQaHgQIAAAA2K/rlGXIkaSknGcOmkgMAAADYrC0SnJbukIzramJBkgMAAADE6M8XjNb4AV3iHQZqkOQAAAAAMTp3dG89dcXx8Q4DNUhyAAAAAAsk49qVSCTj27ItydmyZYuuuuoqDRgwQGlpaRo0aJDuvPNOVVVV2XVLAAAAIG7ineQk68YGdrBtd7Uvv/xS4XBYDz/8sAYPHqw1a9boRz/6kcrLy3XvvffadVsAAAAgLuK9uD8vOzWu908ktiU506ZN07Rp0+oeDxw4UOvXr9eDDz5IkgMAAIB2p6lCyvSCPF07aZDt9773/FEalpfV7POxFHmM6F8aN216Tk5JSYm6dGl+1wm/3y+/31/32OfzSZICgYACgYDt8bWk9v7xjgPJgzEDMxgvMIPxAjMYL23rO0d111tr99Y9/ssPRkqy9/s/rl8nnTuyR4v3CIfCUfcfDAYTYvyYicFhGEabJGdff/21jj32WP3xj3/U1Vdf3WSbuXPnat68eY2uL1y4UOnp6XaHCAAAAMTsgz0O/WuTS5L05wnBqPq48aPIaxEDswzdWBBqsc3/fePU2zujW45/xdCQRneNfz2noqJCF110kUpKSpSdnd1iW9NJTnOJSH1FRUUaN25c3eOdO3fq1FNP1amnnqrHHnus2dc1VcnJz89XcXFxq2/EboFAQIWFhZoyZYo8Hk9cY0FyYMzADMYLzGC8wAzGS9sLhMKa99o6TRzUVdML8qLqY8ivF0Xcdly/Tvrn1S1vX33vog16+P3NUcXywAWjNO3oHlG91ko+n0+5ubkRJTmmp6vNmjVLF1xwQYtt+vfvX/f1zp07ddppp2nChAl65JFHWnyd1+uV1+ttdN3j8STMP8pEigXJgTEDMxgvMIPxAjMYL23H45F+/73RbXY/p8PZ6s/W5Yp+U2W3y5UQY8dMDKaTnNzcXOXm5kbUdseOHTrttNM0duxYPfnkk3I6OZYHAAAAaM3pw7vrv1/ubb0hmmRb1rFz505NmjRJ+fn5uvfee7Vv3z7t3r1bu3fvtuuWAAAAQLtw3/dH6zfnHh3vMCTF//yfaNi2u9qiRYu0ceNGbdy4UX369GnwXBvtdQAAAAAkpZx0j344ob/u+N8vLOkvGROVWNhWybn88stlGEaTfwAAAAC0HXcHWzbSsd4tAAAA0AFdOXGABnXLiHcYbYYkBwAAAGjnctI9eudnk6J8dfLNdSPJAQAAAJJZ8uUgtiPJAQAAAJIZS94bIckBAAAA0K6Q5AAAAADJjOlqjZDkAAAAAGhXSHIAAACAJHblxP7xDiHhuOMdAAAAAIDoLPnFaerbNT3eYSQcKjkAAABAkiLBaRpJDgAAAJCgBuZmxDsEOZJwYwOSHAAAACBBvXrDSXrpuhPjHUbSIckBAAAAElSm161jeufEO4ykQ5IDAAAAJLAknC0WdyQ5AAAAQAJzxHlRTDImWSQ5AAAAQAJLxiQj3khyAAAAgASWjLubxRtJDgAAAJDAmpuu5myj5Cfe0+Wi4Y53AAAAAADMufSEfrrkhH6232d4XpZOGZpr+32sRiUHAAAASHDnj+3T4PH/zCzQsLwsW+85qk+O3rjxZHndLlvvYweSHAAAACDB/eH8Ubpl2vA2vaeh5JyqJpHkAAAAAElhSPfMeIeQNFiTAwAAACSBM0Z0110zC3R0r+x4h5LwSHIAAACAJOBwONpks4H2gOlqAAAAQAcxpm+neIfQJkhyAAAAgA7iwYvH6oqJ/SNqm5xbDlSzNck555xz1LdvX6Wmpqpnz5669NJLtXPnTjtvCQAAAKAZeTmpuvPso+Mdhu1sTXJOO+00/etf/9L69ev14osv6uuvv9b3vvc9O28JAAAAoIOzdeOBm266qe7rfv366dZbb9XMmTMVCATk8XjsvDUAAACADqrNdlc7cOCAnn32WZ144onNJjh+v19+v7/usc/nkyQFAgEFAoE2ibM5tfePdxxIHowZmMF4gRmMF5jBeEG0DMNIqHFjJhaHYRiGjbHolltu0YIFC1RRUaETTjhBr732mrp27dpk27lz52revHmNri9cuFDp6el2hgkAAAB0GDd+1Hqto2+GoZ+NDLVBNJGpqKjQRRddpJKSEmVnt3xWkOkkp7lEpL6ioiKNGzdOklRcXKwDBw7om2++0bx585STk6PXXntNDkfj/RqaquTk5+eruLi41Tdit0AgoMLCQk2ZMoWpdogIYwZmMF5gBuMFZjBe0JQhv17UapuRvbP14jUntEE0kfH5fMrNzY0oyTE9XW3WrFm64IILWmzTv3//uq9zc3OVm5uroUOHasSIEcrPz9fHH3+sCRMmNHqd1+uV1+ttdN3j8STMP8pEigXJgTEDMxgvMIPxAjMYLzDL4XAk1JgxE4vpJKc2aYlGbdGofrUGAAAAAKxk28YDn376qT799FOddNJJ6ty5szZt2qQ77rhDgwYNarKKAwAAAABWsO2cnLS0NL300ks644wzNGzYMF155ZUqKCjQ4sWLm5ySBgAAACCBNLGGPlnYVsk55phj9N///teu7gEAAACgSbZVcgAAAAAgHkhyAAAAALQrJDkAAAAA2hWSHAAAAACNDO+RFe8QombbxgMAAAAAktOVJ/bTjVOGxTuMqJHkAAAAAGjgtunD5PF44h1G1JiuBgAAAKBdIckBAAAAOpiHLhmrU4d2i3cYtiHJAQAAADqYaQV5euLy4+Idhm1IcgAAAIAOyBHvAGxEkgMAAAB0QI52nOWQ5AAAAAAdkKMdZzkkOQAAAADaFZIcAAAAAO0KSQ4AAACAdoUkBwAAAEC7QpIDAAAAoF0hyQEAAADQrrjjHQAAAACAxHDemF4aFNwa7zBiRiUHAAAA6KAuP7F/g8f3fLdA+ZnxicVKJDkAAABABzX3nKM19+yj4h2G5UhyAAAAALQrJDkAAABAB9Y5IyXeIViOjQcAAACADuyskb304cb9Om5Al3iHYhmSHAAAAKADczkd+v33RkqSAoFAnKOxBtPVAAAAALQrbZLk+P1+jR49Wg6HQ6tWrWqLWwIAAADooNokybn55pvVq1evtrgVAAAAgA7O9iTnjTfe0KJFi3TvvffafSsAAAAAsHfjgT179uhHP/qRXnnlFaWnp7fa3u/3y+/31z32+XySqhdAxXsRVO394x0HkgdjBmYwXmAG4wVmMF5gRiKPFzMxOQzDMOwIwjAMzZgxQxMnTtSvfvUrbdmyRQMGDNDKlSs1evToJl8zd+5czZs3r9H1hQsXRpQkAQAAAGifKioqdNFFF6mkpETZ2dkttjWd5DSXiNRXVFSkDz/8UM8//7yWLFkil8sVUZLTVCUnPz9fxcXFrb4RuwUCARUWFmrKlCnyeDxxjQXJgTEDMxgvMIPxAjMYLzAjkceLz+dTbm5uREmO6elqs2bN0gUXXNBim/79++uuu+7Sxx9/LK/X2+C5cePG6eKLL9bTTz/d6HVer7dRe0nyeDwJ801OpFiQHBgzMIPxAjMYLzCD8QIzEnG8mInHdJKTm5ur3NzcVtv95S9/0V133VX3eOfOnfrOd76j559/XuPHjzd7WwAAAACIiG0bD/Tt27fB48zMTEnSoEGD1KdPH7tuCwAAAKCDa5NzcgAAAACgrdi6hXR9/fv3l9mN3Grb124lHU+BQEAVFRXy+XwJNz8RiYkxAzMYLzCD8QIzGC8wI5HHS21OEElO0WZJTjRKS0slSfn5+XGOBAAAAEAiKC0tVU5OTottbDsnxwrhcFg7d+5UVlaWHA5HXGOp3c5627Ztcd/OGsmBMQMzGC8wg/ECMxgvMCORx4thGCotLVWvXr3kdLa86iahKzlOpzPhNinIzs5OuB84EhtjBmYwXmAG4wVmMF5gRqKOl9YqOLXYeAAAAABAu0KSAwAAAKBdIcmJkNfr1Z133imv1xvvUJAkGDMwg/ECMxgvMIPxAjPay3hJ6I0HAAAAAMAsKjkAAAAA2hWSHAAAAADtCkkOAAAAgHaFJAcAAABAu0KSE6G//e1vGjBggFJTUzV27Fi9//778Q4JCWD+/Pk67rjjlJWVpe7du2vmzJlav359gzaGYWju3Lnq1auX0tLSNGnSJH3xxRdxihiJZP78+XI4HJo9e3bdNcYL6tuxY4cuueQSde3aVenp6Ro9erSWL19e9zzjBbWCwaB+9atfacCAAUpLS9PAgQP1m9/8RuFwuK4N46VjW7Jkic4++2z16tVLDodDr7zySoPnIxkffr9fN9xwg3Jzc5WRkaFzzjlH27dvb8N3ETmSnAg8//zzmj17tn75y19q5cqVOvnkkzV9+nRt3bo13qEhzhYvXqzrr79eH3/8sQoLCxUMBjV16lSVl5fXtbnnnnv0pz/9SQsWLFBRUZHy8vI0ZcoUlZaWxjFyxFtRUZEeeeQRjRw5ssF1xgtqHTx4UBMnTpTH49Ebb7yhtWvX6o9//KM6depU14bxglq///3v9dBDD2nBggVat26d7rnnHv3hD3/QAw88UNeG8dKxlZeXa9SoUVqwYEGTz0cyPmbPnq2XX35Zzz33nJYuXaqysjKdddZZCoVCbfU2ImegVccff7xxzTXXNLg2fPhw49Zbb41TREhUe/fuNSQZixcvNgzDMMLhsJGXl2f87ne/q2tTWVlp5OTkGA899FC8wkSclZaWGkOGDDEKCwuNU0891bjxxhsNw2C8oKFbbrnFOOmkk5p9nvGC+s4880zjyiuvbHDtu9/9rnHJJZcYhsF4QUOSjJdffrnucSTj49ChQ4bH4zGee+65ujY7duwwnE6n8eabb7ZZ7JGiktOKqqoqLV++XFOnTm1wferUqfrwww/jFBUSVUlJiSSpS5cukqTNmzdr9+7dDcaP1+vVqaeeyvjpwK6//nqdeeaZmjx5coPrjBfU9+qrr2rcuHE6//zz1b17d40ZM0aPPvpo3fOMF9R30kkn6Z133tFXX30lSfrss8+0dOlSzZgxQxLjBS2LZHwsX75cgUCgQZtevXqpoKAgIceQO94BJLri4mKFQiH16NGjwfUePXpo9+7dcYoKicgwDM2ZM0cnnXSSCgoKJKlujDQ1fr755ps2jxHx99xzz2nFihUqKipq9BzjBfVt2rRJDz74oObMmaPbb79dn376qX7605/K6/Xqhz/8IeMFDdxyyy0qKSnR8OHD5XK5FAqFdPfdd+vCCy+UxH9f0LJIxsfu3buVkpKizp07N2qTiJ+JSXIi5HA4Gjw2DKPRNXRss2bN0ueff66lS5c2eo7xA0natm2bbrzxRi1atEipqanNtmO8QJLC4bDGjRun3/72t5KkMWPG6IsvvtCDDz6oH/7wh3XtGC+QqtcPP/PMM1q4cKGOPvporVq1SrNnz1avXr102WWX1bVjvKAl0YyPRB1DTFdrRW5urlwuV6MMde/evY2yXXRcN9xwg1599VW9++676tOnT931vLw8SWL8QFJ1qX/v3r0aO3as3G633G63Fi9erL/85S9yu911Y4LxAknq2bOnjjrqqAbXRowYUbfpDf99QX2/+MUvdOutt+qCCy7QMccco0svvVQ33XST5s+fL4nxgpZFMj7y8vJUVVWlgwcPNtsmkZDktCIlJUVjx45VYWFhg+uFhYU68cQT4xQVEoVhGJo1a5Zeeukl/fe//9WAAQMaPD9gwADl5eU1GD9VVVVavHgx46cDOuOMM7R69WqtWrWq7s+4ceN08cUXa9WqVRo4cCDjBXUmTpzYaEv6r776Sv369ZPEf1/QUEVFhZzOhh/rXC5X3RbSjBe0JJLxMXbsWHk8ngZtdu3apTVr1iTmGIrblgdJ5LnnnjM8Ho/x+OOPG2vXrjVmz55tZGRkGFu2bIl3aIiza6+91sjJyTHee+89Y9euXXV/Kioq6tr87ne/M3JycoyXXnrJWL16tXHhhRcaPXv2NHw+XxwjR6Kov7uaYTBe8K1PP/3UcLvdxt13321s2LDBePbZZ4309HTjmWeeqWvDeEGtyy67zOjdu7fx2muvGZs3bzZeeuklIzc317j55pvr2jBeOrbS0lJj5cqVxsqVKw1Jxp/+9Cdj5cqVxjfffGMYRmTj45prrjH69OljvP3228aKFSuM008/3Rg1apQRDAbj9baaRZITob/+9a9Gv379jJSUFOPYY4+t2yIYHZukJv88+eSTdW3C4bBx5513Gnl5eYbX6zVOOeUUY/Xq1fELGgnlyCSH8YL6/u///s8oKCgwvF6vMXz4cOORRx5p8DzjBbV8Pp9x4403Gn379jVSU1ONgQMHGr/85S8Nv99f14bx0rG9++67TX5mueyyywzDiGx8HD582Jg1a5bRpUsXIy0tzTjrrLOMrVu3xuHdtM5hGIYRnxoSAAAAAFiPNTkAAAAA2hWSHAAAAADtCkkOAAAAgHaFJAcAAABAu0KSAwAAAKBdIckBAAAA0K6Q5AAAAABoV0hyAAAAALQrJDkAAAAA2hWSHABAQps0aZJmz54d7zAAAEmEJAcAAABAu+IwDMOIdxAAADTl8ssv19NPP93g2ubNm9W/f//4BAQASAokOQCAhFVSUqLp06eroKBAv/nNbyRJ3bp1k8vlinNkAIBE5o53AAAANCcnJ0cpKSlKT09XXl5evMMBACQJ1uQAAAAAaFdIcgAAAAC0KyQ5AICElpKSolAoFO8wAABJhCQHAJDQ+vfvr08++URbtmxRcXGxwuFwvEMCACQ4khwAQEL7+c9/LpfLpaOOOkrdunXT1q1b4x0SACDBsYU0AAAAgHaFSg4AAACAdoUkBwAAAEC7QpIDAAAAoF0hyQEAAADQrpDkAAAAAGhXSHIAAAAAtCskOQAAAADaFZIcAAAAAO0KSQ4AAACAdoUkBwAAAEC7QpIDAAAAoF35/663b5YAefIoAAAAAElFTkSuQmCC",
      "text/plain": [
       "Figure(PyObject <Figure size 1000x400 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "D = 0.2\n",
    "\n",
    "periods = 16\n",
    "b = 2pi * periods\n",
    "\n",
    "# We need U_1, and get it with the Runge-Kutta method;\n",
    "# this is overkill for accuracy, but since only one step is needed, the time cost is negligible.\n",
    "h = (b-a)/n\n",
    "(t_1step, U_1step) = NM.rungekutta_system(f_mass_spring, a, a+h, U_0, 1)\n",
    "U_1 = U_1step[end,:]\n",
    "(t, U) = leapfrog(f_mass_spring, a, b, U_0, U_1, n)\n",
    "\n",
    "Y = U[:,1]\n",
    "DY = U[:,2]\n",
    "y = y_mass_spring.(t; t_0=a, u_0=U_0, K=K, M=M, D=D)  # Exact solution\n",
    "\n",
    "figure(figsize=[10,3])\n",
    "title(\"y for K/M=$(K/M), D=$D by leapfrog with $periods periods, $stepsperperiod steps per period\")\n",
    "plot(t, Y, label=\"y computed\")\n",
    "plot(t, y, label=\"exact solution\")\n",
    "legend()\n",
    "xlabel(\"t\")\n",
    "grid(true)\n",
    "\n",
    "figure(figsize=[10,3])\n",
    "title(\"Error in Y\")\n",
    "plot(t, y-Y)\n",
    "xlabel(\"t\")\n",
    "grid(true)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Julia 1.8.1",
   "language": "julia",
   "name": "julia-1.8"
  },
  "language_info": {
   "file_extension": ".jl",
   "mimetype": "application/julia",
   "name": "julia",
   "version": "1.8.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
