{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Runge-Kutta Methods"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "```{prf:remark} TO DO\n",
    ":label: todo-ode-2\n",
    "Improve the presentation of examples\n",
    "```"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**References:**\n",
    "\n",
    "- Sections 6.4 *Runge-Kutta Methods and Applications* in {cite}`Sauer`.\n",
    "- Section 5.4 *Runge-Kutta Methods* in {cite}`Burden-Faires`.\n",
    "- Sections 7.1 and 7.2 in {cite}`Chenney-Kincaid`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "# Shortcuts for some favorite commands:\n",
    "from numpy import linspace\n",
    "from matplotlib.pyplot import figure, plot, grid, title, xlabel, ylabel, legend"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Introduction\n",
    "------------\n",
    "\n",
    "The original Runge-Kutta method is the fourth order accurate one to be described below, which is still used a lot, though with some modifications.\n",
    "\n",
    "However, the name is now applied to a variety of methods based on a similar strategy, so first, here are a few simpler methods, all of some value, at least for small, low precision calculations."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Note: the methods described below are\n",
    "- {ref}`the Explicit Trapezoid Method <explicit-trapezoid>`\n",
    "- {ref}`the Explicit Midpoint Method <explicit-midpoint>`, and\n",
    "- {ref}`The classical Runge-Kutta Method <classical-runge-kutta>`,\n",
    "\n",
    "with comparisons back to\n",
    "{ref}`Euler's Method <euler_method>` seen in {doc}`ODE-IVP-1-basics-and-Euler-python`."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Euler's Method as a Runge-Kutta method\n",
    "\n",
    "The simplest of all methods of this general form is Euler's method.\n",
    "To set up the notation to be used below, rephrase it this way:\n",
    "\n",
    "To get from $(t, u)$ to an approximation of $(t+h, u(t+h))$, use the approximation\n",
    "\n",
    "$$\\begin{split}\n",
    "K_1 &= h f(t, u)\n",
    "\\\\\n",
    "u(t+h) &\\approx u + K_1\n",
    "\\end{split}$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Second order Runge-Kutta methods\n",
    "\n",
    "We have seen that the global error of Euler's method is $O(h)$: it is only first order accurate.\n",
    "This is often insufficient, so it is more common even for small, low precision calculation to use one of several second order methods:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "(explicit-trapezoid)=\n",
    "### The Explicit Trapezoid Method (a.k.a. the Improved Euler method or Huen's method)\n",
    "\n",
    "One could try to adapt the trapezoid method for integrating $f(t)$ to solve $du/dt = f(t)$\n",
    "\n",
    "$$\n",
    "u(t + h) = u(t) + \\int_{t}^{t + h} f(s) ds \\approx u(t) + h \\frac{f(t) + f(t+h)}{2}\n",
    "$$\n",
    "\n",
    "to solving the ODE $du/dt = f(t, u)$ but there is a problem that needs to be overcome:\n",
    "\n",
    "we get\n",
    "\n",
    "$$\n",
    "u(t + h) \\approx u(t) + h \\frac{f(t, u(t)) + h f(t+h, u(t+h))}{2}\n",
    "$$\n",
    "\n",
    "and inserting the values $U_i \\approx u(t_i)$ and so on gives\n",
    "\n",
    "$$\n",
    "U_{i+1} \\approx U_i + h \\frac{f(t_i, U_i) + f(t_{i+1}, U_{i+1}))}{2}\n",
    "$$\n",
    "\n",
    "This is known as the **Implicit Trapezoid Rule**, because the value $U_{i+1}$ that we seek appears at the right-hand side too: we only have an *implicit* formula for it.\n",
    "\n",
    "On one hand, one can in fact use this formula, by solving the equation at each time step for the unknown $U_{i+1}$;\n",
    "for example, one can use methods seen in earlier sections such as fixed point iteration or the secant method."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We will return to this in a later section;\n",
    "however, for now we get around this more simply by inserting an approximation at right — the only one we know so far, given by Euler's Method.\n",
    "That is:\n",
    "\n",
    "- replace $u(t+h)$ at right by the tangent line approximation $u(t+h) \\approx u(t) + hf(t, u(t))$, giving\n",
    "\n",
    "$$\n",
    "u(t + h) \\approx u(t) + h \\frac{f(t, u(t)) + f(t+h, u(t) + hf(t, u(t)))}{2}\n",
    "$$\n",
    "\n",
    "and for the formulas in terms of the $U_i$, replace $U_{i+1}$ at right by $U_{i+1} \\approx U_i + h f(t_i, U_i)$, giving\n",
    "\n",
    "$$\n",
    "U_{i+1} = U_i + h \\frac{f(t_i, U_i) + f(t_{i+1}, U_i + h f(t_i, U_i))}{2}\n",
    "$$\n",
    "\n",
    "This is the **Explicit Trapezoid Rule**."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It is convenient to break this down into two stages, one for each evaluation of $f(t, u)$:\n",
    "\n",
    "$$\\begin{split}\n",
    "K_1 &= h f(t, u)\n",
    "\\\\\n",
    "K_2 &= h f(t+h, u + K_1)\n",
    "\\\\\n",
    "u(t+h) &\\approx u + \\frac{1}{2}(K_1 + K_2)\n",
    "\\end{split}$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For equal sized time steps, this leads to\n",
    "\n",
    "```{prf:algorithm} The Explicit Trapezoid Method\n",
    ":label: explicit-trapezoid-algorithm\n",
    "\n",
    "$$\\begin{split}\n",
    "U_0 &= u_0\n",
    "\\\\\n",
    "U_{i+1} &= U_i + \\frac{1}{2}(K_1 + K_2),\n",
    "\\\\\n",
    "&\\quad \\text{where}\n",
    "\\\\\n",
    "K_1 &= h f(t_i, U_i)\n",
    "\\\\\n",
    "K_2 &= h f(t_{i+1}, U_i + K_1)\n",
    "\\end{split}$$\n",
    "```"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We will see that, despite the mere first order accuracy of the Euler approximation used in getting $K_2$, this method is second order accurate; the key is the fact that any error in the approximation used for $f(t+h, u(t+h))$ gets multiplied by $h$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Exercise 1\n",
    "\n",
    "A) Verify that for the simple case where $f(t, u) = f(t)$,\n",
    "this gives the same result as the composite trapezoid rule for integration.\n",
    "\n",
    "B) Do one step of this method for the canonical example $du/dt = ku$, $u(t_0) = u_0$.\n",
    "It will have the form $U_1 = G U_0$ where the growth factor $G$ approximates the factor $g=e^{kh}$ for the exact solution $u(t_1) = g u(t_0)$ of the ODE.\n",
    "\n",
    "C) Compare to $G=1+kh$ seen for Euler's method.\n",
    "\n",
    "D) Use the previous result to express $U_i$ in terms of $U_0=u_0$, as done for Euler's method."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "def explicitTrapezoid(f, a, b, u_0, n):\n",
    "    \"\"\"Use the Explict Trapezoid Method (a.k.a Improved Euler)\n",
    "    to solve du/dt = f(t, u) for t in [a, b], with initial value u(a) = u_0\n",
    "    \"\"\"\n",
    "    h = (b-a)/n\n",
    "    t = np.linspace(a, b, n+1)  # Note: \"n\" counts steps, so there are n+1 values for t.\n",
    "    u = np.empty_like(t)\n",
    "    u[0] = u_0\n",
    "    for i in range(n):\n",
    "        K_1 = f(t[i], u[i])*h\n",
    "        K_2 = f(t[i]+h, u[i]+K_1)*h\n",
    "        u[i+1] = u[i] + (K_1 + K_2)/2.\n",
    "    return (t, u)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As always, this function can now also be imported from `numericalMethods`, with\n",
    "\n",
    "    from numericalMethods import explicitTrapezoid"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Examples\n",
    "\n",
    "For all methods in this section, we will solve for versions of Example 2 and 4 in the section\n",
    "{doc}`ODE-IVP-1-basics-and-Euler-python`.\n",
    "\n",
    "$$\n",
    "\\frac{du}{dt} = f_1(t, u) = k u\n",
    "$$\n",
    "\n",
    "with solution\n",
    "\n",
    "$$\n",
    "u(t) = u_1(t; a, u_0) = u_0 e^{t-a}\n",
    "$$\n",
    "\n",
    "and\n",
    "\n",
    "$$\n",
    "\\frac{du}{dt}  = k(\\cos(t) - u) - \\sin(t)\n",
    "$$\n",
    "\n",
    "with solution\n",
    "\n",
    "$$\n",
    "u(t) = u_2(t; a, u_0, k) = \\cos t + c e^{-k(t-a)}, \\; c = u_0 - \\cos(a)\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For comparison, the same examples are {ref}`done below with Euler's method <euler-redux>`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def f2(t, u):\n",
    "    \"\"\"The simplest \"genuine\" ODE, (not just integration)\n",
    "    The solution is u(t) = u(t; a, u_0) = u_0 exp(k(t-a))\n",
    "    \"\"\"\n",
    "    return k*u\n",
    "def u2(t, a, u_0, k):\n",
    "    return u_0 * np.exp(k*(t-a))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
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",
      "text/plain": [
       "<Figure size 1400x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1400x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "    a = 1.\n",
    "    b = 3.\n",
    "    u_0 = 2.\n",
    "    k = 1.5\n",
    "    n = 40\n",
    "\n",
    "    (t, U) = explicitTrapezoid(f2, a, b, u_0, n)\n",
    "    u = u2(t, a, u_0, k)\n",
    "    h = (b-a)/n\n",
    "    figure(figsize=[14,5])\n",
    "    title(f\"Solving du/dt = {k}u, u({a})={u_0} by the Explicit Trapezoid Method\")\n",
    "    plot(t, u, \"g\", label=\"Exact solution\")\n",
    "    plot(t, U, \".:b\", label=f\"Solution with h={h:0.4}\")\n",
    "    legend()\n",
    "    grid(True)\n",
    "\n",
    "    figure(figsize=[14,5])\n",
    "    title(f\"Error\")\n",
    "    plot(t, u - U, '.:')\n",
    "    grid(True);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "def f4(t, u):\n",
    "    \"\"\"A simple more \"generic\" test case, with f(t, u) depending on both variables.\n",
    "    The general solution is\n",
    "        u(t) = u(t; a, u_0) = cos t + C e^(-k t),\n",
    "        C = (u_0 - cos(a)) exp(k a)\n",
    "    \"\"\"\n",
    "    return  k*(np.cos(t) - u) - np.sin(t)\n",
    "\n",
    "def u4(t, a, u_0, k):\n",
    "    return np.cos(t) + (u_0 - np.cos(a)) * np.exp(k*(a-t))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1400x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1400x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "a = 1.\n",
    "b = a + 4 * np.pi  # Two periods\n",
    "u_0 = 2.\n",
    "k = 2.\n",
    "n = 80\n",
    "\n",
    "(t, U) = explicitTrapezoid(f4, a, b, u_0, n)\n",
    "u = u4(t, a, u_0, k)\n",
    "#h = (b-a)/n\n",
    "figure(figsize=[14,5])\n",
    "title(f\"Solving du/dt = {k}(cos(t) - u) - sin(t), u({a})={u_0} by the Explicit Trapezoid Method\")\n",
    "plot(t, u, \"g\", label=\"Exact solution\")\n",
    "plot(t, U, \".:b\", label=f\"Solution with h={(b-a)/n:0.4}\")\n",
    "legend()\n",
    "grid(True)\n",
    "    \n",
    "figure(figsize=[14,5])\n",
    "title(f\"Error\")\n",
    "plot(t, U - u, '.:')\n",
    "grid(True);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": []
   },
   "source": [
    "(explicit-midpoint)=\n",
    "### The Explicit Midpoint Method (a.k.a. Modified Euler)\n",
    "\n",
    "If we start with the Midpoint Rule for integration in place of the Trapezoid Rule, we similarly get an approximation\n",
    "\n",
    "$$\n",
    "u(t + h) \\approx u(t) + h f(t + h/2, u(t + h/2))\n",
    "$$\n",
    "\n",
    "This has the slight extra complication that it involves three values of $u$ including $u(t+h/2)$ which we are not trying to evaluate.  We deal with that by making yet another approximation, using an average of $u$ values:\n",
    "\n",
    "$$\n",
    "u(t+h/2) \\approx \\frac{u(t) + u(t+h)}{2}\n",
    "$$\n",
    "\n",
    "leading to\n",
    "\n",
    "$$\n",
    "u(t + h) \\approx u(t) + h f\\left( t + h/2, \\frac{u(t) + u(t+h)}{2} \\right)\n",
    "$$\n",
    "\n",
    "and in terms of $U_i \\approx u(t_i)$, the **Implicit Midpoint Rule**\n",
    "\n",
    "$$\n",
    "U_{i+1} = U_i + h f\\left( t + h/2, \\frac{U_i + U_{i+1}}{2} \\right)\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We will see late that this is a particularly useful method in some situations, such as long-time solutions of ODEs that describe the motion of physical systems with conservation of momentum, angular momentum and kinetic energy. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "However, for now we again seek a more straightforward *explicit* method; using the same tangent line approximation strategy as above gives the **Explicit Midpoint Rule**\n",
    "\n",
    "$$\\begin{split}\n",
    "K_1 &= h f(t, u)\n",
    "\\\\\n",
    "K_2 &= h f(t+h/2, u + K_1/2)\n",
    "\\\\\n",
    "u(t+h) &\\approx u + K_2\n",
    "\\end{split}$$\n",
    "\n",
    "and thus for equal-sized time steps"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "```{prf:algorithm} The Explicit Midpoint Method\n",
    ":label: explicit-midpoint-algorithm\n",
    "\n",
    "$$\\begin{split}\n",
    "U_0 &= u_0\n",
    "\\\\\n",
    "U_{i+1} &= U_i + K_2\n",
    "\\\\\n",
    "&\\quad \\text{where}\n",
    "\\\\\n",
    "K_1 &= h f(t_i, U_i)\n",
    "\\\\\n",
    "K_2 &= h f(t_{i}+h/2, U_i + K_1/2)\n",
    "\\end{split}$$\n",
    "```"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Exercise 2 (a lot like Exercise 1)\n",
    "\n",
    "A) Verify that for the simple case where $f(t, u) = f(t)$,\n",
    "this give the same result as the composite midpoint rule for integration (same comment as above).\n",
    "\n",
    "B) Do one step of this method for the canonical example $du/dt = ku$, $u(t_0) = u_0$.\n",
    "It will have the form $U_1 = G U_0$ where the growth factor $G$ approximates the factor $g=e^{kh}$ for the exact solution $u(t_1) = g u(t_0)$ of the ODE.\n",
    "\n",
    "C) Compare to the growth factors $G$ seen for previous methods, and to the growth factor $g$ for the exact solution."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Exercise 3\n",
    "\n",
    "A) Apply Richardson extrapolation to one step of Euler's method, using the values given by step sizes $h$ and $h/2$.\n",
    "\n",
    "B) This should give a second order accurate method, so compare it to the above two methods."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "def explicitMidpoint(f, a, b, u_0, n):\n",
    "    \"\"\"Use the Explicit Midpoint Method (a.k.a Modified Euler)\n",
    "    to solve du/dt = f(t, u) for t in [a, b], with initial value u(a) = u_0\n",
    "    \"\"\"\n",
    "    h = (b-a)/n\n",
    "    t = np.linspace(a, b, n+1)  # Note: \"n\" counts steps, so there are n+1 values for t.\n",
    "    u = np.empty_like(t)\n",
    "    u[0] = u_0\n",
    "    for i in range(n):\n",
    "        K_1 = f(t[i], u[i])*h\n",
    "        K_2 = f(t[i]+h/2, u[i]+K_1/2)*h\n",
    "        u[i+1] = u[i] + K_2\n",
    "    return (t, u)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Again, available for import with\n",
    "\n",
    "    from numericalMethods import explicitMidpoint"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Examples"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1400x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1400x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "    a = 1.\n",
    "    b = 3.\n",
    "    u_0 = 2.\n",
    "    k = 1.5\n",
    "    n = 40\n",
    "\n",
    "    (t, U) = explicitMidpoint(f2, a, b, u_0, n)\n",
    "    u = u2(t, a, u_0, k)\n",
    "    figure(figsize=[14,5])\n",
    "    title(f\"Solving du/dt = {k}u, u({a})={u_0} by the Explicit Midpoint Method\")\n",
    "    plot(t, u, \"g\", label=\"Exact solution\")\n",
    "    plot(t, U, \".:b\", label=f\"Solution with h={(b-a)/n:0.4}\")\n",
    "    legend()\n",
    "    grid(True)\n",
    "\n",
    "    figure(figsize=[14,5])\n",
    "    title(f\"Error\")\n",
    "    plot(t, u - U, '.:')\n",
    "    grid(True);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Observation:** The errors are very similar to those for the Explicit Trapezoid Method, not \"half as much and of opposite sign\" as seen with integration; the exercises give a hint as to why this is so."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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PBCBOnDhRY79t27aJAFIc6rxy5UoRgLhv3z6N7arh5d+e0pXU0OPETmW7deuWCEC8fv26elvNmjVFa2trMTIyUr0tPDxcLFiwYIZP6bK3t1c/l8n9pGfI+z///CMaGhqK7dq1S3Hf2bNnazw/32rSpIlYqlQp9e9z584VAYihoaEa+/3xxx8iAHHt2rVJ3s7Ro0dFAOK8efM0tu/YsUMEoD5tYOfOnSIA8datW0le1+vXr0UA4q+//prgsuRO6RJFUTx+/LgIQDxy5EiS+6RVcqcTJvUcdu/eXbS0tMy0DKIYfxpR27Ztk90nsdMR7e3tRQMDA/H58+fqbZGRkWLBggXFQYMGqbepnqtLly4luN6U2v+UKVNEmUyW6OmHKVG9t3x/akVip8E0a9ZMLFOmTIrXmdbXq6Ojo+jh4ZFg+6tXr0QA4i+//KKxPSYmRhQEQeN9TtVOUvOT0qk93bt3F3V0dMRr166lmF1XV1fjeVS5cOFCoqepfc/V1TXJ91yZTKZuN+Hh4aKpqak4atQojf2cnJzEBg0apJgzpdNVUupbgoKCRB0dHXHEiBEa+33+/Fm0srISO3XqlOztq9pTUj8vXrxQ76tUKsXmzZuL+fPnF+/evSs6OTmJZcqUSdC+AYiGhoYa75lxcXFimTJlxJIlSya47W+f9+9fq8+ePRPlcrnYvXv3ZO9HYv1bek7pGjZsmKhUKsVixYqJ48ePF0Ux/vRAExMT8fPnz4me8vT9bR85ckQEIC5ZskTj+lX9zrfvjar7O2bMGI19VacXb968WRTFjH3GUd03S0tLMTw8XL0tNDRUlMlk4pw5c9Tb0ntK19u3b8UNGzaI+vr64vv379WnTc+YMUMUxYTPxZw5c0SZTJbgdCxVX/jtadUZfY2k9rH7+PGjaGBgkOAzxPnz50UAPKWLKItwhA9RHmdubo6zZ8/i6tWr+PXXX9GmTRs8fvwYkyZNQoUKFdTfzPj6+gJAglOjatSogbJlyya7Mou5uTlatWqFjRs3qkeWfPz4Efv27UOvXr0SPZ3se61bt9b4XfUtsuobSNUkoZ06ddLYr0OHDqm6fl9fX5iamia4nW7duqV4bHJ27doFBwcH9Td4X758wdWrV9G+fXsYGBio9zM1NUWrVq0ydFsAcODAAVy9ejXFn4EDB6bpegMDA9GyZUvY2tpi3bp1qT4uqdVgvt3+6tUrCIIACwsLjX2OHDkCAwODJIerA/+NOPq+XXbs2BHGxsbqdlm5cmXo6elh4MCB2LhxY6KrnaiGqCd2qktKVMekdBpLWkdcpCfHmzdvNEYOfE8UxSRHGSSmRo0aOHLkCH788Uf4+fkhMjIy1XkqV64MOzs79e8GBgYoVaqUxsiBjD7uSqUy0VMvM9OrV6/SlS81klsx6fvLdHV1kT9/fo12Zm1tnarX/NWrV1GtWrUkb2vatGnYsmULFi1alOx+6c2emKTec5VKpXoUmKmpKfr27QsfHx/1qSinTp3C/fv3MXz48FTlTE5Kfcvff/+NuLg49OrVS+M1Y2BgAFdX11SdjgMAc+fOTfQ5sbS0VO8jCAL++OMPmJqawtnZGQEBAfjzzz8TPb22UaNGGsfK5XJ07twZ/v7+KZ5m/a3jx49DoVAkO1Iqs6lWlNq0aRPi4uLg7e2NTp06wcTEJFXHqz6PdO/eXWN7cv319/t26tQJOjo66uvKyGcclQYNGmhMOm9paYnChQsnO1IqLTp27Ag9PT1s2bIFhw8fRmhoaJKnqx88eBDly5dH5cqVNdqth4dHqk8jU0npNZLax+7ixYuIiopK8FzUqVMH9vb2qc5DRGmT8l9BRJQnODs7w9nZGQAQGxuLiRMnYtGiRZg3bx7mzZunPn2jSJEiCY61trZO8QNNv379sGvXLhw/fhweHh7Ytm0boqOjU72MqLm5ucbv+vr6AKD+41OV79sPwED8nBLfH5uY9+/fJzgWiD9NJiN27typcTrXx48foVQqE73ejN4WADg5OaWqiJCWeUeeP3+OBg0aQEdHBydPnkTBggVTPEb1mCf2uH748EHjOiIjI6Grqwu5XK6x39u3b2FtbZ1s1vfv30NHRweFChXS2C4IAqysrNTtokSJEjhx4gTmzZuHYcOG4cuXLyhevDhGjhypPn1E1Za+LcSlluqYlIoh36+ksmHDhnQvpZtUDlEUERUVleQfTxs3bkxwGmVybWbp0qWwsbHBjh07MHfuXBgYGMDDwwPz58+Ho6NjsnkSe+3p6+trPE7aeNwzKjIyMtH3h4wyNzdP9NS4Dx8+AECirzUDAwON+6unp4fKlSun6va+f42pzJw5E//73/8we/bsVBdR0pP9e8m953573SNGjMCyZcuwZcsWDBw4EMuWLYONjQ3atGmTqqzJSalvef36NQCgevXqiR6f2vfS4sWLq/vYlPK0bt0ay5cvR7t27VChQoVE90uuD3n//j1sbGxSlUs1j01q988sffv2xcyZM/HLL7/gxo0b+P3331N9rOp9//vnLrk+9PvLVMer2llGP+MAqXu/ywhjY2N07twZ69evh729PRo3bpxkoeT169fw9/dPcvWu1JyippLaz18pPXaq/bLq8w8RJY4jfIgoAV1dXUyfPh3Af3NIqDr8kJCQBPu/evUqweiM73l4eMDa2lo9T82GDRtQs2ZNODk5ZUpmVT7Vh3OVuLi4VM01Ym5unuBYAImOHDAwMFDPDfOt7z9APXjwAA8ePNAo+BQoUACCICR6vZkxSqFEiRLQ1dVN8WfWrFmpur7nz5/Dzc0NoijC19c31X8UqP5IuXPnjsb2uLg4PHz4EOXLl1dvs7CwQExMjMZEkgBQqFAhvHr1Ktn5hszNzREXF5dg8k1RFBEaGqrRLuvXr48DBw4gLCwMly5dQu3atTF69Gj1RKeqfVV/sKaF6piUXgfff7uf3KguVTHj+7aWXHv+8OED9PX1k/2mvFWrVglyJMfY2BgzZ87Ew4cPERoaipUrV+LSpUuZMiIN0M7jnpikHt/E/hCysLBIV76UVKhQAQ8ePEgwykr1uvn2daLy8eNHjfsbGBiYqte8rq5uosulz5w5EzNmzMCMGTPStMx9hQoVEry+U8r+veTec7/9I7NkyZJo1qwZli9fjhcvXmD//v0YPHhwkgWszKR6rHfu3JnoCJ3vJ9bOqOPHj2PlypWoUaMG9uzZg127diW6X3J9SGq+5FBRFcvTMiooM9ja2qJx48aYOXMmSpcujTp16qT6WNX7/vfvhcn1od9fpjpe9Vhl9DOOtvTr1w+3bt3CgQMHkh39amFhgQoVKiQ52m/atGmZlim1j51qv6z6/ENEiWPBhyiPS6yDBqCeTNHa2hoA0LBhQwDA5s2bNfa7evUqHjx4kOikgd+Sy+Xo2bMn9u7di7Nnz+LatWvJflhJK9Vkqjt27NDYvnPnzhRPWQHih2J//vxZPVmmytatWxPs6+DggMePH2v8ofj+/XuNlaOA+NO5rK2tUatWLfU2Y2Nj1KhRA7t370ZUVJR6++fPn3HgwIEEt5XWbwcz85SuoKAguLm5QaFQ4NSpU2kacl2zZk0UKVIkwQpTO3fuREREhMbKbGXKlAEAPH36VGPfZs2aISoqKtFVqlRU7e77drlr1y58+fIl0XYpl8tRs2ZNLF++HABw48YNAIC9vT0MDQ0T5ABSfh5Up4ilVMBUjaRT/ST3h5mlpSUMDAxw+/Ztje379u1LNkdKGczNzRPkSC1LS0v06dMHXbt2xaNHjzRWOEuvpJ5/IHWPu7m5ebpG36hW2fn+8f3+PUCVMbHTADOqXbt2iIiISPBH/caNG2FtbY2aNWtqbH/16hWioqI0nuOMnNL1888/Y8aMGZg6daq6yJ+W7A8fPtQoeMTFxWHz5s2oWbOmuu9ITlLvuTKZLMEE2aNGjcLt27fRu3dvyOVyDBgwIFU5MzrCwsPDAzo6Onj69GmC101aXz8pCQkJQY8ePeDq6ooLFy6gdevW8PLyQkBAQIJ9T548qVEwUygU2LFjB0qUKJGm0TpNmjSBXC7HypUr05w3o4/tuHHj0KpVqzQXH1QTvG/ZskVje2L9tcr3+/7555+Ii4tTr0iV0c84qfX96Ji0ql27Nvr164d27dqhXbt2Se7XsmVLPH36NNH3e2dnZ41VxjL6PKb2satVqxYMDAwSPBcXLlzItNPeiCghntJFlMd5eHjAxsYGrVq1QpkyZaBUKnHr1i0sXLgQJiYm6tNdSpcujYEDB+L333+HTCZDs2bNEBgYiGnTpsHW1hZjxoxJ8bb69euHuXPnolu3bjA0NMyUFbBUypUrh65du2LhwoWQy+Vo2LAh7t27h4ULFyJfvnwpDrvv1asXFi1ahF69emH27NlwdHTE4cOH8ffffyfYt2fPnli9ejV69OiBAQMG4P3795g3bx7MzMw09tu5cyfat2+fYC6Ln3/+GU2bNoW7uzvGjRsHhUKBuXPnwtjYOMEoggoVKsDPzw8HDhxAkSJFYGpqitKlSyd5P5Ia/p9Wb968QYMGDRASEgJvb2+8efMGb968UV9uY2Oj/qPi+fPnKFGiBHr37q1exlcul2PevHno2bMnBg0ahK5du+LJkyeYMGEC3N3d0bRpU/V1qT5wX7p0SWPVn65du2LDhg0YPHgwHj16hAYNGkCpVOLy5csoW7YsunTpAnd3d3h4eGDixIkIDw9H3bp1cfv2bUyfPh1VqlRRL6O9atUqnDp1Ci1atICdnR2ioqLUq500btwYQPypMbVr18alS5cSfVx3796NlStXolq1apDJZBp/6F26dAnm5uaZ9vgD8ael9ejRA+vXr0eJEiVQqVIlXLlyJck/apRKJa5cuZLqlW5Sq2bNmmjZsiUqVqyIAgUK4MGDB9i0aRNq164NIyOjTLl+Q0NDXLp0KcFcESm1/0uXLsHV1VXjNebj44O+ffumeLpc9erVUbp0aYwfPx5xcXEoUKAA9uzZg3PnziXY183NDevXr8fjx48TLBt9+vRp9QgzhUKB58+fq1dKcnV1VY+gmDVrFmbNmoWTJ0/C1dUVQHxR093dHUOGDEF4eDhKliyJbdu24ejRo9i8eXOCESyqtvntimZ6enrpKjosXLgQP/30E5o2bYoWLVokaPffFqq9vLywceNGPH36VF347devH5YvX46OHTvi119/ReHChbFixQo8evQIJ06cSFUGc3NzDBkyBEFBQShVqhQOHz6MtWvXYsiQIRpzPwGAu7s7nJyc4Ovrix49eqR6TqW0vod+z8HBAbNmzcKUKVPw7NkzNG3aFAUKFMDr169x5coV9Qi4lDx58iTR9xbVe6lCoUDXrl0hCAK2bt0KuVwOHx8fVK5cGZ07d8a5c+egp6enPs7CwgINGzbEtGnTYGxsjBUrVuDhw4epWpr9+/s3efJk/Pzzz4iMjETXrl2RL18+3L9/H+/evUv2vmX0sW3SpAmaNGmSpryq41xcXDBhwgR8+fIFzs7OOH/+PDZt2pTkMbt374aOjg7c3d1x7949TJs2DZUqVVLP+5cZn3FSQ9VHLFmyBL1794auri5Kly6tMfdPSlT9bHJGjx6NXbt2wcXFBWPGjEHFihWhVCoRFBSEY8eOYdy4ceqCckafx9Q+dgUKFMD48ePxv//9D/3790fHjh3x4sULzJgxg6d0EWUlCSeMJqJsYMeOHWK3bt1ER0dH0cTERNTV1RXt7OzEnj17ivfv39fYV6FQiHPnzhVLlSol6urqihYWFmKPHj00VhkRxcRXsFCpU6eOCCDJFUGQxCpd3680kdjqI1FRUeLYsWPFwoULiwYGBmKtWrXEixcvivny5UuwQkdigoODRU9PT9HExEQ0NTUVPT091SvOfL9S0saNG8WyZcuKBgYGopOTk7hjxw6N++3v75/sqjj79+8XK1asKOrp6Yl2dnbir7/+muhKR7du3RLr1q0rGhkZaXUVi5RWlvn2OVKtEpTYKh9bt25V308rKytx5MiRGqu/qdSvX19s3rx5gu2RkZHiTz/9JDo6Oop6enqiubm52LBhQ/HChQsa+0ycOFG0t7cXdXV1xSJFiohDhgwRP378qN7n4sWLYrt27UR7e3tRX19fNDc3F11dXcX9+/dr3J63t7col8vFV69eaWz/8OGD2KFDBzF//vyiIAgaz5NSqRTt7e0TrOKTGcLCwsT+/fuLlpaWorGxsdiqVSsxMDAw0VW6Tp48mWBFuMzw448/is7OzmKBAgVEfX19sXjx4uKYMWPEd+/eqfdJapWuFi1aJLi+xFa569mzp+jk5JRg3+Tav+o1tmvXLo1jfv/9dxGAePTo0RTv2+PHj8UmTZqIZmZmYqFChcQRI0aIhw4dSvDaDQsLE01MTBKsBqe6P0m9ThJbHen794TPnz+LI0eOFK2srEQ9PT2xYsWK4rZt2xLN27NnT7FChQop3q/USC73989l7969E11ZKDQ0VOzVq5dYsGBB9Xvu8ePHU3375cqVE/38/ERnZ2dRX19fLFKkiDh58mSNlRu/NWPGjCRXdEtKUm0oLX2LKIri3r17xQYNGohmZmaivr6+aG9vL3bo0EE8ceJEsref0nvplClTRFH8b8W5kydPahx/4cIFUUdHR2OVMvy72tWKFSvEEiVKiLq6umKZMmXELVu2pHhfEnutimL8qojVq1cXDQwMRBMTE7FKlSoa/V5Sq1CmpX9S5U5OalbpEkVR/PTpk9ivXz8xf/78opGRkeju7i4+fPgwyVW6rl+/LrZq1Urdv3ft2lV8/fq1xnVm5DNOUvfN3t4+Qd84adIk0draWpTJZCmunvftKl3JSWylrYiICHHq1Kli6dKlRT09PTFfvnxihQoVxDFjxmis8JYZr5HUPnZKpVKcM2eOaGtrq36/O3DgQJKrnxJRxgmimMlLhBARZSMXLlxA3bp1sWXLlgyvuJUW8+bNw4IFCxASEqKVeSZyul27dqFz5854/vw5ihYtKlmOqKgo2NnZYdy4cZg4cWKqjjl58iSaNGmCe/fuqU9PkkLPnj3x7NkznD9/XrIM6XXt2jVUr14dly5dSnAaU1KmTZuGP/74A0+fPtVYia9Tp04ICAhIcW6itBoxYgROnjyJe/fupWoFqswWHh4Oa2trLFq0KNWnM+U2zs7OEAQh05/bnEYQBAwbNgzLli2TOkq2N2PGDMycORNv377NNvPwEBFpE+fwIaJc4/jx45g1axYOHTqEU6dOYdGiRWjXrh0cHR015ozRhgkTJuDNmzcs9qRS+/btUb16dcyZM0fSHAYGBpg5cyZ+++23BJNIJ+V///sf+vXrJ2mx5+nTp+pVtHIiZ2dndOrUCT///HOq9v/06ROWL1+OX375RaPYI4oi/Pz8MHv27EzPOHXqVLx8+TLJSXSz2qJFi2BnZ5dghbXcLjw8HBcuXMDkyZNx/fp1TJkyRepIREREOQbn8CGiXMPMzAzHjh3D4sWL8fnzZ1hYWKBZs2aYM2dOupZ8Ju0RBAFr167F/v37oVQq07RsfGYbOHAgPn36hGfPnqU4J8/Hjx/h6uqKoUOHaild4oKCgrBs2TLUq1dP0hwZsXDhQnh7e+Pz588pzmcREBCASZMmJRi1JwiCxlxTmcnS0hJbtmzBx48fs+T6U2JmZgYfHx+NAldecOPGDTRo0ADm5uaYPn062rZtK3UkIiKiHIOndBERERERERER5TI8pYuIiIiIiIiIKJdhwYeIiIiIiIiIKJdhwYeIiIiIiIiIKJfJdTP/KZVKvHr1CqamppIsm0pERERERERElBVEUcTnz59hbW2d4kInua7g8+rVK9ja2kodg4iIiIiIiIgoS7x48QI2NjbJ7pPrCj6qpVxfvHgBMzMzidOQtsXGxuLYsWNo0qQJdHV1pY5DeQDbHGkb2xxpG9scaRvbHGkb2xxpW0baXHh4OGxtbdW1j+TkuoKP6jQuMzMzFnzyoNjYWBgZGcHMzIxv1qQVbHOkbWxzpG1sc6RtbHOkbWxzpG2Z0eZSM4UNJ20mIiIiIiIiIsplWPAhIiIiIiIiIsplWPAhIiIiIiIiIsplct0cPkRERERERKR9SqUSMTExUsdIs9jYWOjo6CAqKgoKhULqOJQHpNTmdHV1IZfLM3w7LPgQERERERFRhsTExCAgIABKpVLqKGkmiiKsrKzw4sWLVE2ES5RRqWlz+fPnh5WVVYbaJAs+RERERERElG6iKCIkJARyuRy2traQyXLWzCFKpRIREREwMTHJcdkpZ0quzYmiiK9fv+LNmzcAgCJFiqT7dljwISIiIiIionSLi4vD169fYW1tDSMjI6njpJnqVDQDAwMWfEgrUmpzhoaGAIA3b96gcOHC6T69i62ZiIiIiIiI0k01B4menp7ESYhyD1XxNDY2Nt3XwYIPERERERERZRjnvyHKPJnxemLBh4iIiIiIiIgol8nSgs+cOXNQvXp1mJqaonDhwmjbti0ePXqU4nGnT59GtWrVYGBggOLFi2PVqlVZGZOIiIiIiIgo1xIEAXv37s3w9Tg4OGDx4sUZvh7Sjiwt+Jw+fRrDhg3DpUuXcPz4ccTFxaFJkyb48uVLkscEBASgefPmqF+/Pm7evInJkydj5MiR2LVrV1ZGJSIiIiIiojykT58+EAQBcrkcBQoUgFwuhyAIaNq0qdYyzJgxA5UrV9ba7aWWj48P8ufPn2D71atXMXDgQO0HonTJ0lW6jh49qvH7hg0bULhwYVy/fh0uLi6JHrNq1SrY2dmpq4Zly5bFtWvXsGDBAnh6emZl3GwlOBh48gRwdARsbKROQ0RERERElPs0bdoU3t7e+Pz5M0xNTSGTyaCvry91rGyrUKFCUkegNNDqHD5hYWEAgIIFCya5z8WLF9GkSRONbR4eHrh27VqGZqfOSVauiYa9vYiGDQF7e8DbW+pEREREREREuY++vj6srKxgaWkJKysrWFlZoUCBAgAAPz8/6Onp4ezZs+r9Fy5cCAsLC4SEhACIH+RQr1495M+fH+bm5mjZsiWePn2qcRvBwcHo0qULChYsCGNjYzg7O+Py5cvw8fHBzJkz8c8//0AQBAiCAB8fn0Rz+vn5oUaNGjA2Nkb+/PlRt25dPH/+XH35ypUrUaJECejp6aF06dLYtGlTkvfZz88PgiDg06dP6m23bt2CIAgIDAyEn58f+vbti7CwMHWuGTNmAEh4SldQUBDatGkDExMTmJmZoVOnTnj9+rX6ctUIpk2bNsHBwQH58uVDly5d8Pnz52SfF8ocWTrC51uiKGLs2LGoV68eypcvn+R+oaGhsLS01NhmaWmJuLg4vHv3DkWKFNG4LDo6GtHR0erfw8PDAcQvXZYTC0TBwcCwIXoQlfEzciuVwKBBIho2jONIn1RQPec58bmnnIltjrSNbY60jW2OtI1tLueJjY2FKIpQKpVQKpUQRRFfY79KksVI1yjVqxuJoqj+Uf2uVCrVl7u4uGDUqFHo2bMnbt68icDAQEyZMgVbtmyBpaUllEolPn/+jNGjR6NChQr48uULpk+fjnbt2uHGjRuQyWSIiIiAq6srihYtir1798LKygo3btxAXFwcOnbsiDt37uDvv//GsWPHAAD58uXTyAAAcXFxaNu2Lfr3748tW7YgJiYGV65cUefds2cPRo0ahUWLFqFRo0Y4dOgQ+vbtC2trazRo0EB9ParnR3X93/9f9W+tWrWwaNEiTJ8+HQ8ePAAAmJiYqPdR3a4oimjbti2MjY3h6+uLuLg4DB8+HJ07d8apU6fU+z59+hR79uzB/v378fHjR3Tp0gVz5szB//73v7Q9ublIUm3uW6rHODY2FnK5XL09Le+NWiv4DB8+HLdv38a5c+dS3Pf7F6jqwUjshTtnzhzMnDkzwfZjx46p163PSe7csYCorKuxTaEQsGXLZVSo8F6iVDnP8ePHpY5AeQzbHGkb2xxpG9scaRvbXM6ho6MDKysrREREICYmBl9iv8BmhTTfVgcPDYaxrnGq9o2NjcWhQ4eQL18+je2jRo3CDz/8AAD44YcfcOzYMXh5eeHBgwfo3LkzGjVqpB5o4O7urnHsokWL4OjoiCtXrsDJyQk+Pj54+/YtTpw4oR45pJojKDY2Frq6uhAEQf23a2IDFz5+/IiwsDA0aNBAfUpVu3btAMQPeJg3bx66deuG7t27AwC8vLxw7tw5zJ07F9WqVVNfT2RkJMLDw/H1a3wx7vPnz5DJ4k/6Uc2zGxERgaioKOjp6QGAOpdSqUR4eDiUSiWioqIQHh4OX19f3L59G7du3YLNv6MTli9fjtq1a8PPzw9Vq1ZFdHQ0lEollixZAlNTU9jZ2aFjx444fvw4JkyYkKrnKTdLbqRTTEwMIiMjcebMGcTFxam3q56/1NBKwWfEiBHYv38/zpw5o24ISbGyskJoaKjGtjdv3kBHRwfm5uYJ9p80aRLGjh2r/j08PBy2trZo0qQJzMzMMucOaFHFisD06SKUyv+KW3K5iO7da3KETyrExsbi+PHjcHd3h66urtRxKA9gmyNtY5sjbWObI21jm8t5oqKi8OLFC5iYmMDAwADyGHnKB2URM1MzGOulruCjq6sLNzc3LF++HF++fIGxsTEEQUDBggU1/pbcsmULKleuDHt7eyxbtgzGxv9d/9OnT/HTTz/h8uXLePfunXq0xocPH2BmZoZHjx6hSpUqsLe3TzSDvr4+5HJ5sn+7mpmZoXfv3vD09ETjxo3RuHFjdOzYUX32y5MnTzB48GCN63B1dcXSpUs1thkaGsLMzExdxDE1NVVfrrpPqlOzDAwMIAhCglwymQwGBgYwMzNDUFAQbG1t4eTkpL68Ro0ayJ8/P4KCguDm5gZ9fX04ODigaNGi6n0cHBxw8ODBHPn3emYRRVE9b1RSI9KioqJgaGgIFxcXGBgYqLerio2pkaUFH1EUMWLECOzZswd+fn4oVqxYisfUrl0bBw4c0Nh27NgxODs7J/qGr6+vn+ikWrq6ujmygyhWDFizBug/UAEo5ZDJlFi9WoZixXLefZFSTn3+KedimyNtY5sjbWObI21jm8s5FAoFBEGATCaDTCaDib4JIiZFSJIlLad0CYIAExMTODo6Ijw8HGZmZuoRL9+6dOkSgPgizqdPn2Bqaqq+rE2bNrC1tcXatWthbW0NpVKJ8uXLIy4uDjKZTF1cSex6VRmSu1zFx8cHo0aNwtGjR/Hnn39i2rRpOH78OGrVqgUAkMvlCa5D9ZyoqJ4fHR2dBJcrFAqNfVTbE8v17XHf3wYQXwdQ5REEAbq6uglyKJXKFO9zbqYqDCb2+Kl8+/h9+16YlvfFLH2Ehw0bhs2bN2Pr1q0wNTVFaGgoQkNDERkZqd5n0qRJ6NWrl/r3wYMH4/nz5xg7diwePHiA9evXw9vbG+PHj8/KqNmKlxcwZNNcoLcbunlPgZeX1ImIiIiIiIhSRxAEGOsZS/KT2mJPaj19+hRjxozB2rVrUatWLfTq1Uv9x/r79+/x4MEDTJ06FY0aNULZsmXx8eNHjeMrVqyIW7du4cOHD4lev56enrrYkpIqVapg0qRJuHDhAsqXL4+tW7cCiF/Z+vupUy5cuICyZcsmej2q08JUE08D8ZM2pzWXk5MTgoKC8OLFC/W2+/fvIywsLMnbJu3K0oLPypUrERYWBjc3NxQpUkT9s2PHDvU+ISEhCAoKUv9erFgxHD58GH5+fqhcuTJ+/vlnLF26NE8tyQ4AbpVKAsVO42HMSamjEBERERER5UrR0dEIDQ3F69ev1QMU3r17ByB+1EvPnj3RpEkT9O3bFxs2bMDdu3excOFCAECBAgVgbm6ONWvWwN/fH6dOndKYbgQAunbtCisrK7Rt2xbnz5/Hs2fPsGvXLly8eBFA/OlNAQEBuHXrFt69e6exIJFKQEAAJk2ahIsXL+L58+c4duwYHj9+rC6q/PDDD/Dx8cGqVavw5MkT/Pbbb9i9e3eSgyZKliwJW1tbzJgxA48fP8ahQ4fU90nFwcEBEREROHnyJN69e5fovDGNGzdGxYoV0b17d9y4cQNXrlxBr1694OrqCmdn5zQ+E5QVsrTg8+2s59/+9OnTR72Pj48P/Pz8NI5zdXXFjRs3EB0djYCAAAwePDgrY2ZLpYydgY0ncG3sAUR85QoFREREREREme3o0aMoWrQoypQpg6JFi6JIkSKoV68eAGD27NkIDAzEmjVrAMTPN7tu3TpMnToVt27dgkwmw/bt23H9+nWUL18eY8aMwfz58zWuX09PD8eOHUPhwoXRvHlzVKhQAb/++qt61SVPT080bdpUPSHztm3bEmQ0MjLCw4cP4enpiVKlSmHgwIEYPnw4Bg0aBABo27YtlixZgvnz56NcuXJYvXo1NmzYADc3t0Tvs66uLrZt24aHDx+iUqVKmDt3boIVs+rUqYPBgwejc+fOKFSoEObNm5fgegRBwN69e1GgQAG4uLigcePGKF68uMYAD5KWIKqWwMolwsPDkS9fPoSFheXoSaCUShE6ph8gfjXH5iOP0L1paakj5QixsbE4fPgwmjdvznO+SSvY5kjb2OZI29jmSNvY5nKeqKgoBAQEoFixYhqTy+YUqhWokprDhyizpabNJfW6SkvNg605m5LJBFQYPB8YVBkRBc5LHYeIiIiIiIiIchAWfLKxJh4KoMg/+OfdNamjEBEREREREVEOwoJPNlbNuhoA4EbIDYmTEBEREREREVFOwoJPNlbFshrwsBWubWmNiK9xUschIiIiIiIiohyCBZ9srKR5CQgH1kPhNxn7zwRIHYeIiIiIiIiIcggdqQNQ0uQyGYrUPItXHz7h6ef8AByljkREREREREREOQBH+GRzXSacA9r2w2vjk1JHISIiIiIiIqIcggWfbE41cfP1kOsSJyEiIiIiIiKinIIFn2yuWpH4gs+tpy8RGc2Jm4mIiIiIiIgoZSz4ZHOO5o6QrbuGqDlB2Ov7XOo4RERERERE9K8ZM2agcuXKGb4eHx8f5M+fP8PXk5lSc98CAwMhCAJu3bqVpusWBAF79+5NdzZKHRZ8sjmZIEO+ArEAAN9rryROQ0RERERElDu8efMGgwYNgoODAywtLWFtbQ0PDw9cvHgxS2/XwcEBixcv1tjWuXNnPH78OEtvN63Gjx+Pkyf/m0u2T58+aNu2rXSBUnD69GlUq1YNBgYGKF68OFatWpXiMaNGjUK1atWgr6+faHFLVdD6/ufo0aPqffr06ZPoPuXKlVPvc+/ePXh6esLBwQGCIGDJkiWZcp9TwlW6coB2445h/UMPGFTrDaC+1HGIiIiIiIhyPE9PT8TGxmLDhg0oVKgQvn79Cl9fX3z48EHrWQwNDWFoaKj1202OiYkJTExMpI6RKgEBAWjevDkGDBiAzZs34/z58xg6dCgKFSoET0/PJI8TRRH9+vXD5cuXcfv27ST3O3HihEYBp2DBgur/L1myBL/++qv697i4OFSqVAkdO3ZUb/v69SuKFy+Ojh07YsyYMem9m2nGET45QIMqxQGDcE7cTEREREREuVpwMODrG/9vVvr06RPOnTuHuXPnokGDBrCzs0ONGjUwadIktGjRQr1fUFAQ2rRpAxMTE5iZmaFTp054/fp1ktfr5uaG0aNHa2xr27Yt+vTpo778+fPnGDNmjHokCJD4KV0rV65EiRIloKenh9KlS2PTpk0alwuCgHXr1qFdu3YwMjKCo6Mj9u/fn2S233//HRUqVFD/vnfvXgiCgOXLl6u3eXh4YNKkSQA0T+maMWMGNm7ciH379qlz+/n5qY979uwZGjRoACMjI1SqVClVo6TevXuX6uwpWbVqFezs7LB48WKULVsW/fv3R79+/bBgwYJkj1u6dCmGDRuG4sWLJ7ufubk5rKys1D96enrqy/Lly6dx2bVr1/Dx40f07dtXvU/16tUxf/58dOnSBfr6+um+n2nFgk8OoJ64OfQWFEqFxGmIiIiIiIhS9uVL/I8o/rctJiZ+W3R0wn1XrADs7YGGDeP/XbMmfntUVOLXq1T+ty02Nm3ZVKNX9u7di+jvw/xLFEW0bdsWHz58wOnTp3H8+HE8ffoUnTt3TtuNfWP37t2wsbHBrFmzEBISgpCQkET327NnD0aNGoVx48bh7t27GDRoEPr27QtfX1+N/WbOnIlOnTrh9u3baN68Obp3757kCCU3Nzfcu3cP7969AxB/CpSFhQVOnz4NIH5kyoULF+Dq6prg2PHjx6NTp05o2rSpOnedOnXUl0+ZMgXjx4/HrVu3UKpUKXTt2hVxcckvOpRSdtVzlNRPs2bN1PtevHgRTZo00bh+Dw8PXLt2DbFpbRyJaN26NQoXLoy6deti586dye7r7e2Nxo0bw97ePsO3m1Es+OQApcxLQe/WUHzdthZ7/QKljkNERERERJQiE5P4n3/rCwCA+fPjtw0frrmvhQUwbNh/RRylEhg8OH5fLy/NfR0c4rc/ePDfNh+ftGXT0dGBj48PNm7ciIIFC8LDwwNTpkzROK3nxIkTuH37NrZu3Ypq1aqhZs2a2LRpE06fPo2rV6+m7Qb/VbBgQcjlcpiamqpHhCRmwYIF6NOnD4YOHYpSpUph7NixaN++fYIRK3369EHXrl1RsmRJ/PLLL/jy5QuuXLmS6HWWL18e5ubm6gKPn58fxo0bp/796tWriIqKQr169RIca2JiAkNDQ+jr6yc6ymX8+PFo0aIFSpUqhZkzZ+L58+fw9/dP9rFIKfutW7eS/Vm3bp1639DQUFhaWmpcv6WlJeLi4tQFrvQwMTHBb7/9hp07d+Lw4cNo1KgROnfujM2bNye6f0hICI4cOYL+/fun+zYzEws+OYBcJofxsx7A3W7Yfzz9jZWIiIiIiCg7+nYUUHLbMpOnpydevXqFvXv3olGjRjh9+jSqVq0Kn3+rRw8ePICtrS1sbW3Vxzg5OSF//vx48G21KQs8ePAAdevW1dhWt27dBLdbsWJF9f+NjY1hamqKN2/eJHqdgiDAxcUFfn5++PTpE+7du4fBgwdDoVDgwYMH8PPzQ9WqVdM1b8+3OYoUKQIASeZIbfaSJUsm+1O0aNEE9+9b4r8N6PvtaWFhYYExY8agRo0acHZ2xqxZszB06FDMmzcv0f1Vp+Zll8mtWfDJIWo2eww0nII4Oz+poxAREREREaUoIiL+x8Liv20//BC/bdkyzX1v3wZk3/11KpcDjx4B3t6a2wMD46+jbNn/tv07RU6aGRgYwN3dHRMmTMC5c+fQp08fTJ8+HUB8wSCxYkFS2wFAJpOpCw0q6T2lKLECxvfbdHV1Exyj/PZct++4ubnBz88PZ8+eRaVKlZA/f364uLjg9OnT8PPzg5ubW7qyfptDlTG5HKnJnpZTuqysrBAaGqpxfW/evIGOjg7Mzc3TdZ+SUqtWLTx58iTBdlEUsX79evTs2VNj9JOUWPDJIbp2FQCXXxBkcFDqKERERERERCkyNo7/+bZGoacXv+37eWtLlYqfs0cuj/9dLgdWr47fbmCQ+PV+WyD6rnaQbk5OTvjy5Yv6/0FBQXjx4oX68vv37yMsLAxlv602faNQoUIa8/IoFArcvXtXYx89PT0oFMnPzVq2bFmcO3dOY9uFCxeSvN3UUs3js3PnTnVxx9XVFSdOnEhy/p605M5MaTmlq3bt2jh+/LjG8ceOHYOzs3OCwlJG3bx5Uz2K6VunT5+Gv78/vL4/B1FCXJY9h1BN3Hwz5CYUSgXkMrnEiYiIiIiIiDKPlxfg4QH4+wMlSwI2Nll3W+/fv0fHjh3Rr18/lC9fHoIg4OHDh5g3bx7atGkDAGjcuDEqVqyI7t27Y/HixYiLi8PQoUPh6uoKZ2fnRK+3YcOGGDt2LA4dOoQSJUpg0aJF+PTpk8Y+Dg4OOHPmjHrFJotvh0D964cffkCnTp1QtWpVNGrUCAcOHMDu3btx4sSJDN1v1Tw+W7Zswb59+wDEF4HGjRsHAInO3/Nt7r///huPHj2Cubk58uXLl6EsKSlZsmSq9x08eDCWLVuGsWPHYsCAAbh48SK8vb2xbds29T579uzBpEmT8PDhQ/U2f39/REREIDQ0FJGRkbh16xaA+GKfnp4eNm7cCF1dXVSpUgUymQwHDhzA0qVLMXfu3AQZvL29UbNmTZQvXz7BZTExMbh//776/y9fvsSdO3dgaWmJUqVKpfp+phULPjlEGYsyMERBfAkoiXP3nsG1gqPUkYiIiIiIiDKVjU3WFnpUTExMULNmTSxatAhPnz5FbGwsbG1tMWDAAEyePBlA/ClGe/fuxYgRI+Di4gKZTIamTZvi999/T/J6+/Xrh3/++Qe9evWCjo4OxowZgwYNGmjsM2vWLAwaNAglSpRAdHR0glPAgPil3JcsWYL58+dj5MiRKFasGDZs2JDuU65UBEGAq6sr9u7di/r16wOIn0snX758KF68OMzMzJI8dsCAAfDz84OzszMiIiLg6+sLBweHDOXJLMWKFcPhw4cxZswYLF++HNbW1li6dCk8PT3V+4SFheHRo0cax/Xv3189aTUAVKlSBQAQEBCgvm//+9//8Pz5c8jlcpQqVQrr169Hjx49NK4nLCwMu3btwpIlSxLN9+rVK/V1A8DChQuxcOFCuLq6aixvn9kEMbHWlYOFh4cjX758CAsLS7ax5kQFK5/Dx3/qodePV7BxTg2p42RLsbGxOHz4MJo3b57pQ/eIEsM2R9rGNkfaxjZH2sY2l/NERUUhICAAxYoVg8H351/lAEqlEuHh4TAzM4Ps+4mEiLJAatpcUq+rtNQ82JpzEMdynwGjNwh8H5LyzkRERERERESUZ/GUrhxk4Oh3uOJoCTi4AGgjdRwiIiIiIiIiyqY4wicHqWFXGRDiJ25WiskvcUdEREREREREeRcLPjlI2UJlYahjiM8xn/Hk/ROp4xARERERERFRNsWCTw6iI9OB1cMZwJrLmLc0TOo4RERERERERJRNseCTw1iI5YBXNXDpoiB1FCIiIiIiIrVctgA0kaSUyoxP48JJm3OY1u2icTW6M0xrCgC2Sx2HiIiIiIjyOF1dXQiCgLdv36JQoUIQhJz15bRSqURMTAyioqK4LDtpRXJtThRFxMTE4O3bt5DJZNDT00v37bDgk8O0rlcS0+7+iQdxZlCKSsgEviEREREREZF05HI5bGxsEBwcjMDAQKnjpJkoioiMjIShoWGOK1ZRzpSaNmdkZAQ7O7sMFSFZ8MlhnAo5wUDHAOHR4Xj64SkczR2ljkRERERERHmciYkJHB0dERsbK3WUNIuNjcWZM2fg4uICXV1dqeNQHpBSm5PL5dDR0clwAZIFnxxGR6aD0jru+OeGKTYfCMLMPiz4EBERERGR9ORyOeRyudQx0kwulyMuLg4GBgYs+JBWaKvN8XygHEjvzgBg9xbs3Jxf6ihERERERERElA2x4JMD1a+rA9hcQFSBG1JHISIiIiIiIqJsiKd05UA92xXBb2+q4L1+Pohif04sRkREREREREQaOMInBypXqBz05foIiw7Ds4/PpI5DRERERERERNkMCz45kK5cFxUtKwIicP7pLanjEBEREREREVE2w4JPDmXycDAw7y3m/lhM6ihERERERERElM2w4JNDlbcvAkRa4PnjAlJHISIiIiIiIqJshpM251AdmxXB7/eqQdfuJUQxhBM3ExEREREREZEaR/jkUDWLO0HP9i4+xb1GwKcAqeMQERERERERUTbCgk8OpSfXQ4XCFQAAN0JuSJyGiIiIiIiIiLITFnxysJJiM8DvJ6xYYih1FCIiIiIiIiLKRjiHTw5WOKYW4NcClx++AFZLnYaIiIiIiIiIsguO8MnBWjcoClT8A6ixHEqlKHUcIiIiIiIiIsomOMInB6tfpix0O9TAV2UsgsIHwyG/g9SRiIiIiIiIiCgb4AifHExfRx/lC5cHAFx/dV3iNERERERERESUXbDgk8NVK1INiMyPoxeCpY5CRERERERERNlElhZ8zpw5g1atWsHa2hqCIGDv3r3J7u/n5wdBEBL8PHz4MCtj5mimIa2AuR+xdZqn1FGIiIiIiIiIKJvI0oLPly9fUKlSJSxbtixNxz169AghISHqH0dHxyxKmPM1rWMDAIiKjUFUFCduJiIiIiIiIqIsnrS5WbNmaNasWZqPK1y4MPLnz5/5gXIhl7JOkE+ygEL/Pd5EP4edgZ3UkYiIiIiIiIhIYtlyla4qVaogKioKTk5OmDp1Kho0aJDkvtHR0YiOjlb/Hh4eDgCIjY1FbGxslmeVmhxylLMtittv3uPyi8soYlRE6kiSUj3neeG5p+yBbY60jW2OtI1tjrSNbY60jW2OtC0jbS4txwiiKGrlPCBBELBnzx60bds2yX0ePXqEM2fOoFq1aoiOjsamTZuwatUq+Pn5wcXFJdFjZsyYgZkzZybYvnXrVhgZGWVW/Gzt96DfcTLgIVzFAehZvhYsLKKkjkREREREREREmezr16/o1q0bwsLCYGZmluy+2argk5hWrVpBEATs378/0csTG+Fja2uLd+/epXjnc4sOYy5j//I6AGSQyUSsXKlA3755cz6f2NhYHD9+HO7u7tDV1ZU6DuUBbHOkbWxzpG1sc6RtbHOkbWxzpG0ZaXPh4eGwsLBIVcEnW57S9a1atWph8+bNSV6ur68PfX39BNt1dXXzxIs1OBg4uLIuAAEAoFQKGDpUB82bAzY20maTUl55/in7YJsjbWObI21jmyNtY5sjbWObI21LT5tLy/5ZukpXZrh58yaKFMnb89Ik58mT+CLPtxQKwN9fokBEREREREREJLksHeETEREB/28qDwEBAbh16xYKFiwIOzs7TJo0CS9fvsQff/wBAFi8eDEcHBxQrlw5xMTEYPPmzdi1axd27dqVlTFzNEdHQCYDlMr/tsnlQMmS0mUiIiIiIiIiImllacHn2rVrGitsjR07FgDQu3dv+Pj4ICQkBEFBQerLY2JiMH78eLx8+RKGhoYoV64cDh06hObNm2dlzBzNxgZYswYYMFAJUSmDIFNg9Wp5nj6di4iIiIiIiCivy9KCj5ubG5KbE9rHx0fj9wkTJmDChAlZGSlX8vIClMWPYeCinTBXVELXriOkjkREREREREREEsr2c/hQ6rSt4Qycno53h0fgyKlPUschIiIiIiIiIgmx4JNLFDK2QIGKF4CSR/Dg422p4xARERERERGRhFjwyUW6/Hga6NEc7wvtkToKEREREREREUmIBZ9cxMXeBQBwJuiMxEmIiIiIiIiISEos+OQi9e3qAwBuBt/HizdhEqchIiIiIiIiIqmw4JOLFDUrigKXlkD85SOm/vpa6jhEREREREREJBEWfHKZUrYFAYUBLl+LljoKEREREREREUlER+oAlLm6dZHjsl4ZFKxiDuC81HGIiIiIiIiISAIc4ZPLtKxSEyj0CNdeXcXX2K9SxyEiIiIiIiIiCbDgk8sUy18MRU2LIlYZi8vBl6WOQ0REREREREQSYMEnlxEEAVX0OgJHF2LyBAOp4xARERERERGRBDiHTy5UPl9dHLzUAdeMIqBQAHK51ImIiIiIiIiISJs4wicX6trYCai+DEKL4YiMiZE6DhERERERERFpGQs+uVAFq7Kw6DgTseU24va7a1LHISIiIiIiIiItY8EnFxIEAS72LgCAM8/PSJyGiIiIiIiIiLSNBZ9cysXOBQizwfZtApRKqdMQERERERERkTax4JNL1bZ2AZY9xD8rJuLefYXUcYiIiIiIiIhIi1jwyaWq2VSE3OEiYH0F1wP8pY5DRERERERERFrEgk8uJZfJ0eSnxcDAmvhU6IjUcYiIiIiIiIhIi1jwycVcHeoD4MTNRERERERERHkNCz65mGqlrtOBZxATI0qchoiIiIiIiIi0hQWfXKyadTXo+P2CD7MeYO6KEKnjEBEREREREZGWsOCTi+nJ9VDU1Bb4WghHToZLHYeIiIiIiIiItIQFn1yuTecPQL86sO0+W+ooRERERERERKQlLPjkcm3rVADsLuL8K1+IIufxISIiIiIiIsoLWPDJ5Wra1ISuTBcvP7/Es4/PpI5DRERERERERFrAgk8uZ6RrhAq6bYEzkzH1l3dSxyEiIiIiIiIiLWDBJw8ormgOnJqNw9vspY5CRERERERERFrAgk8e0LmZDeD0F3Rrr4JSKXUaIiIiIiIiIspqOlIHoKzXpFwNyDoXwHtRiVcR/WFjZiN1JCIiIiIiIiLKQhzhkweY6ZuhilUVAMDZ52clTkNEREREREREWY0FnzzCxd4FiDLDtoMhUkchIiIiIiIioizGU7ryiGoFGwJz5+GAqIN3AwALC6kTEREREREREVFW4QifPMKjXC3A4iFQwB//PPoodRwiIiIiIiIiykIs+OQRFkYWKPNjP2CUI8IL+kkdh4iIiIiIiIiyEAs+eUiD0s4AgDPPz0ichIiIiIiIiIiyEgs+eYiLvQsA4EzQGYiixGGIiIiIiIiIKMuw4JOH1LerD/j9hBuTt2Lnvi9SxyEiIiIiIiKiLMKCTx5S1KwoTKPKAe9LY8eh11LHISIiIiIiIqIswoJPHuPW4SHQtRVsmm+SOgoRERERERERZREWfPKY9o3sgNIHceXD31JHISIiIiIiIqIswoJPHqOauPnqq6v4GvtV4jRERERERERElBVY8MljiuUvBitFDcRd9sLcNU+ljkNEREREREREWYAFnzxGEATYvesPHFoFnzVmUschIiIiIiIioizAgk8e1NLdBLA9h9j8dxAcLHUaIiIiIiIiIspsLPjkQcJzVyC4NkLOtIS9vQhvb6kTEREREREREVFmYsEnjwkOBqaPKwKIcgCAUilg0CBwpA8RERERERFRLpKlBZ8zZ86gVatWsLa2hiAI2Lt3b4rHnD59GtWqVYOBgQGKFy+OVatWZWXEPOfJk/giz7cUCsDfX6JARERERERERJTpsrTg8+XLF1SqVAnLli1L1f4BAQFo3rw56tevj5s3b2Ly5MkYOXIkdu3alZUx8xRHR0D23bMulwMlS0qTh4iIiIiIiIgyn05WXnmzZs3QrFmzVO+/atUq2NnZYfHixQCAsmXL4tq1a1iwYAE8PT2zKGXeYmMDrFkDDBokQqEQAIgYPjoKNjaGUkcjIqIsFhwcP9LT0TG+P8js/YmIiChzsM+mzJClBZ+0unjxIpo0aaKxzcPDA97e3oiNjYWurq5EyXIXLy/Aw0NA7RmjEWy6G7X6zAPQRepYRESUhby9gYEDAaUSkMlELF0ejU49PyMqLirRn/3bC2H5T5UgKgXIZCLWrBHg5SX1vSAiIsr9vu+zl62MQeeeX5Lss/dts8Dv0yqwz6YEslXBJzQ0FJaWlhrbLC0tERcXh3fv3qFIkSIJjomOjkZ0dLT69/DwcABAbGwsYmNjszZwDmZpCXTqKMdvl17g4KOD8CydO0ZQqZ5zPvekLWxzpG1paXOiKOLe2/vYeuo2FgzoAYjx5/QqlQKGD9HH8FPdgXK743cOqg3s2AMUeAp07Assfg6Ignr//gMU2B0zFPXLF0NVq6qoYlUF+Q3yZ8l9pOyF73OkbWxzpG3Zpc0FhQVhi+8NTB/gqdFnDx2kh6H7RwLV18Tv+MkOWHcJkMcA/eom0mcrsfVrX9Qr54CqRaqimlU1WJpYJnWzJIGMtLm0HJOtCj4AIAiaEwqLopjodpU5c+Zg5syZCbYfO3YMRkZGmR8wFynwuQAA4MCDAzggOwj595P75GDHjx+XOgLlMWxzpG1Jtbm3MW9x+/Nt3I64jet3jBCx3RswcFZ/cPyPALwpD93yB6Ar6EImN0PEF0vIDb7CIqI+Xv+7mqOaKMfhy49w+M0a4E1Z4OhimDpeR+VmR1DCqARKGpVEvq/l8Ol1IRQpEgELi6isueMkGb7PkbaxzZG2abvNfY77jDsRd3D7823cCIjAGx9vINIt8T77dSXIIYeuTBc6OsaIiCgCyKNROKIe3iTos2U4df05Tn34A4jMD2zbBwPbA6jQbiMcTUqghFEJlDAsgbgwK4SEmLDfllB62tzXr19Tva8gqioqWUwQBOzZswdt27ZNch8XFxdUqVIFS5YsUW/bs2cPOnXqhK9fvyZ6SldiI3xsbW3x7t07mJmZZep9yG1iFbGwGDAAkadGoWdba3gvzvlV39jYWBw/fhzu7u48BZC0gm2OtE3V5pycmiAwUBcWNh/xOO4UNu4Kxfm/iyC8uA9Q6kj8zmE2wKIXkOlHQozVh6j87wOkTCbizNkY1Kgev+3LF+DpU8DEBNDTA0qW1NFY1VEmEzF+xzL4K/xwem8JvN8+D3A4BfRpFL/DjX7A/rUAZBAEJX77/QuGDTTQ0qNCWYnvc6RtbHOkbdpoc8HBwN2H0fhkfBVHb93GiQPmeGP6N1Bp878hDIC5H4E4XQiCAFHU7LOPHouGm4v837zAvXuAvj5gapp4nz1l51o8U57BGV89vFi+HijgD4xy/C/Qjj+BB54AZJDJRKxcqUDfvlopDRAy1ubCw8NhYWGBsLCwFGse2WqET+3atXHgwAGNbceOHYOzs3OSD4K+vj709fUTbNfV1WUHkQJdXV1UKFgdV17VwN9HX+eqx4vPP2kb2xxp05Fj1mjXTj/+w6BQEGh1DHhTDrjUCULsJ9Rs+BGNijVC4+KNgbYxqF3TEJs3A4MGAQpF/OqMq1cLqFvnv/4zf36gWrX/biN+gn/N/b06jAAwAoE1gd11I/AR5jCsNBtn7wbg6IFVUC3+KYoyjBlhiBsmP+HH5j3gVMhJq48PZQ2+z5G2sc2RtmVFm1MoFegz8Q42L6wAiCaA4AI4vQbudQFKmsOp8Q11n63fMA61qhlg586EfbB7o/++RNHVBapX/+82Eu2z2w0EMBCv6wF7q0Qi8IMShev9hmsh13DpXjCePegA4L/TwAYPEWBR6Qba1aie5Nk1lPnS0+bSsn+WFnwiIiLg7++v/j0gIAC3bt1CwYIFYWdnh0mTJuHly5f4448/AACDBw/GsmXLMHbsWAwYMAAXL16Et7c3tm3blpUx87Qe7QrhSmA/WNULAXBE6jhERJSMiJgIzNy9CatXDIbqQxpEOXBwDZr96AN9J38M6NoNzRsP/O8gh/h/4ifsB/z9gZIlU17BI7n9HRyAscNNAFQCUAm+ccDR778UFHWwyfcCNu0PhJN5Fcwa7oS25ZtCLvtu2DkREVEuFKeMw7Y72zG8vxnCr7XCt/22cL8TajYLQP8eNeHV7d5/B5WO/ycz+2xLS2CQlyGAUv/+AL4FgIbfXYeolMNz6k5Ym53H5FGW8KrTHgY6HKmb02VpwefatWto0KCB+vexY8cCAHr37g0fHx+EhIQgKChIfXmxYsVw+PBhjBkzBsuXL4e1tTWWLl3KJdmzUIdqDTGyag/c/gq8jnjNybyIiLKhsKgwLLuyDIsuLcL7+xUADNHcQSnHBHcvuLklfz02NmlbqjW1+zs6AjJZ/GoiKjK5CHfnUvh72mTc/+SADm/6onjDkRhefTj6VunLCZ+JiChXilXEYtPtTZhzbg78P/gD4fugLvb8SxRlmDOhWLL9dlb12UDi/bYgU0C83xmvXlXD8PczMKOFLQZVG4QhzkNQ1Kxo6oNQtpKls/S6ublBFMUEPz4+PgAAHx8f+Pn5aRzj6uqKGzduIDo6GgEBARg8eHBWRszzipgWQdUiVQEAR/2PSpyGiIi+9eHrR3T9ZSssKl3F1KNz8D7yPRyKxwGCUmM/uTz+Gz2p2NjEDyeXy//Ls2a1gL3912DiKDMULvkS+Z3/xrOPzzD22FgUGdsKngvn48HbBwgOBnx94+c2ICIiyqmi46IxaeNu5K92Al6bp8L/gz/MDc0xeOw7yGSaw2CzZ78tx+KppWFTJgTWDQ7g3dd3mH12NuynesBl0jyce34BL16I7LNzmGw1hw9Jo2mxFrhxohhmnrVB54OAAUfuERFJ6u2Xt1h0aRF+v7gSEYuuAB8cUfjhT/htRlG0L90eP7z5B6tWVYZCIfx7rn7avgXMCkkNJ/91RkH8OgP4GuuPLbe3YOmVpbi7cTp2BzTG7g3bgPulAFEOmSz+w6eXl6R3g4iIKE0iYyOx7sY6zLswD8GLtwJB9WFkNh0zf/2Mwc6DYaJnAmed7+fYya79tglGDTFBnPIy9j/aj6WXl+L03l44e6sf6u84AQQq/+2zRaxZI7DPzgFY8CG0LNMcvxwdhIDPReHrp0CzppxfgYhI24KDgQs3P8Db9zjOmvdDZFz8kpu2bbxRVdYHK/83HkWsZIiNjYW7exDGjSuP5891U3Vuv7YkN5zcSNcIA6oNQJ+K/dH6VCiOvYyC8n6n+DmIED+sfNAgER4eQra5P0RERIkJDgZu34vE1ssncEJ/GF5HvQAAFGy6HCWCLbDm196oXOG/b9HTOiePtiTVb+vIdNC+bHu0L9seA269xsZHkYgNbPBNny2wz84hWPAh1ChaHYa15iMyQhfvdF0AVE/xGCIiyjwr18Rg2GAdiGJBAJ2Bmq9Qrd8WTHOZhlalW0EmJDwD28YGKFZM+1kzSldXwJG/iuDQIaBlS83LFAoBPn9fw1QvZ2nCERERpWDtOiUGDQJEpSGAVkCl97DrMx0/1v0Rfav0TXKi47TOyZNdrF1sifYeQPPmmtsVCgGztx7Hih8ac1WvbCxL5/ChnEEuk6P94LuAx3jcE3dJHYeIKE85cv0Ohg6Wxy+x/i/hymjsaXYVbcq0SbTYkxtUqhQ/YeT3ph1cgl57euH91/faD0VERJSMqw9CMHCgCFH5TZ99uzd82z3BkOpDcu2qVhUqJN5nrzp2Ao3+aBQ/OTVlS7nzUySlWXPH+JLt4SeHJU5CRJQ3KJQK9Pp1J1rO/1k9RFpFFAU8fZq7vy37fsJImUyEXZWHkFXZik23N6Hs8rLYfmcHRPH79d6JiIi0b97O43CbMSPRPjsoQE+aUFqSWJ9dokoQDFyXwTfQFxVWVsD88wsQp4yTNiglwIIPAQA8SnhAgAx37sXi0OlQqeMQEeVqgZ8CUaLDemya1AHKKwOy3apb2uLlBQQGxq/S9fy5gOc3yuBCvwsoV6gc3n6KQNeWRVBz/By8DH8pdVQiIsqjwqPD4TJ+OSZ2dsXXM4MAQaFxeV7ts/1v2OHe8DtoWKwhomJiMKFnZRTvtgg3Xv4jdVT6Bgs+BAAwNzJHsadzgOUP8MPEWKnjEBHlSqIoYtM/m1BxZUU8t1oK6H5FMxcrrF4laCyNmh1W79AWGxvAze2/+1vTpiZuDLqBRm8PAEEuuLquJ8ouqYo119dAKSqTvS4iIqLMdPb5WVRaVQlnlb8Cel9R2lEfixeL7LP/vb/FCxTHiZ4nMNDwBBDQGC/2DkSNJS0x9dRURMVFSZqV4nHSZlJr1cQUS7ZG40NsCETRFpx7i4go84SGfUCv1fNwPHIuAKCOsxkWjniLWmUrAIifDDG7rd4hFT25Hg4ubYSRRm9xRlyER8o3GHRwELbe2YpZVTdA8b4YHB35OBERUdaIjovBcJ+VWP9qLJSiEsXsi2HucX90qOsMQQA827PPVhEEASsnNEAJwzD8+XgjrhsHY/bZ2dj1YBdmV/sDBSKrs8+WEAs+pNarYS0smVgQn42BGMUH6OvoSx2JiChX+OvKGXT3zI/Yt5MgH/YXZrbph4n1JkJH9l83nFNX78gqBgbAmsWFoFDOx7Ir9ph8ajJOr24J10sOAOLnD1izRoCXl7Q5iYgod7n14hHcWr9C2O0hwMD16NO0KpY0XQIzfTP1PuyzNclkwIRR+TABI7HrflEMOzwMD//qBM/hzv9ezj5bKjyli9SqFKmMIgXz4WvsV5x5fkbqOEREOVpwMPD3iRgM2DwTnQ42RCwiIJMr8XvNQ5jiMkWj2ENJk8vkGFVrFP5u9QC4NA5A/PBTpVLAoEEigoOlzUdERDlfcDBw+7Y55hzehNobqyAs6hMgAENt1mFDmw0axR5KnqeTJ060eQicngH22dJjwYfUBEFQr9a1/94xcGEUIqL08fYG7O1FNHXXw7peU4F/eqP7zEN4dE8fQzqVkTpejhT7zg6qD44qCoWA63fDpAlERES5grc3ULKkDn76qR6mt+uNqKtd4Tp8K/72+4TlU6pLHS9HehucH4n12aeuB0mSJy9jwYc0NCvZHPhrO5Z3mIU7d6ROQ0SU8wQHAwMGiFAq//2gI8ohO7gWvzaZjZIORtKGy8EcHeOHjGsQ4jBg8yzcf/1IkkxERJSzBQcDAwZq9tnCwbX4o/UONKlXWNpwOVhSffbgLb/g4B0/CRLlXSz4kAb3Eo0hxBpDjDXE9v1vpY5DRJTjzN7zJ0RR81stpVIGf3+JAuUSNjbAmjVQr4wik4swqbELb7csRKUGz3D8ia+0AYmIKMfZdOoSRKVmny0qZXj2lH8mZ8T3fbZcLqJI452I3LkMrZoUwJLTPpLmy0vYkkmDmb4ZqnU7AAyuCMvG26SOQ0SUYyhFJcb9PQ6rAsYCgkLjMrk8fiUPyhgvLyAwEPD1BZ4HClg0tBkEnWjEmd9C8+1NsO7GOqkjEhFRDrHh5gZM/acz++ws8m2fHRgoYNtP7WBg9gWwvInRvn0x/th4KJSKFK+HMoYFH0qgs7sjYHUHR/wPSx2FiChHiIqNQZ3ha/HbhcVAvpfoOPE45PL4idDkcmD1aq7mkVlsbAA3t/h/+/cyw40bQLdR9xGnjMOAAwPww7Ef+AGSiIiSJIoies39E/12DYHSLAi1h/p802eL7LMz0bd9tms9fTy6bYZpC4IBAVh4cSHa7WiPiJgIqWPmaiz4UAItHFsAAPwC/fAl5ovEaYiIsrfw6HAUb+iHyysGQTi6DJvabcKfc5oiMFD491stcBnSLFS5gj42e/6BWW6zAKWABRPKofb4+ey/iIgoAYVSgfoD9mLTj52APZswodYknP+9H548icPPP5/Dkydx7LOzkJ2dgFmNp2Kb5zboy/VxYKkbSnVejxdhXL4rq7DgQwmUsSiDorGuiD46E/3H8MVHRJSU0IhQuPm4IcR6NaAThQmd66JHxR4ANL/VoqwlCAKmuU7DYL0LwD99cHXpaNRa1A4vw19KHY2IiLKJqLgodNnVBefjlgKyGDR2LoZfm/wCQRBgYwNUqPCefbaWdCnfBb+VuQZcGoOQvSNRdfpAXH91XepYuZKO1AEo+xEEAc7GbfHy/GjsvfsZyt8TmWWdiCiPe/L+CTw2eyDgUwAKOQdj48RHaFa1ktSx8rTfJ9bCO/8Q/P31F9yNOo4a62pgnetRGIRXgKMji29ERHnVp6hPaLu9LU4/Pw29knqYd+AERjVvLnWsPG1oh/J4O/c9VlzYiDcFjsDF5zQW196JkmjGPjsT8c94SlTf1qWAKt4wbj0ZcXGi1HGIiLKVHX63Ub7+UwSEvkOJAiVwwesCiz3ZgI4O8NeGIri9ehzKFSqHV6ebonl1JzRsCNjbA97eUickIiJtuxv4CsVczuH0vQcw0zfD0e5HWezJJqZPMMfj7V7wKOGBr5e7YGCjJv/22SL77EzCET6UKPdSbjDwNMf7uCg8+TQY5QqXkzoSEVG2cPDhEXTt5ADxbVNYmPvg/JG6sDSxlDoWfcMhvwP+bHIB5YabAGL8d1tKJTBoEODhwW8NiYjyigdvH6B6i5eIut8Sep924swZM1Sy4hc02Uk+g3xY5XIQxXvJIKr7bAGDBonw8BDYZ2cQR/hQoox0jdDAoQEA4PATrtZFRHlbcHD8sqKL/v4Lbf9sBbFdD5hXuIarO9xZ7MmmXr8wUxd7VBQKwN9fokBERKQ1wcHAsh33UGdRJ0Q1GgJ923s4sLE4iz3ZVMBTHXWxR0WhEPDkCc80ySgWfChJzR2bA18s4O0Ti7dvpU5DRCQNb+/4ocUNGwJjm7WH4npv9GjqhFc3K8LB2lTqeJQER8dE5p8T4vBAcUCSPEREpB3e3oCdvYgRXcrh06+3UCysD148sEST2kWljkZJSKrP3v/2N0ny5CYs+FCSmjs2B7YcwqN1k/Hnnq9SxyEi0rrgYGDgQBFKpRC/QZRDOLgWs503Qk+uJ204SpaNDbBmDSCXx/8uyBRAq0EYfmAsfM5z5CoRUW4UHAwMGCBC/KbfDtoyGdEfLaQNRslK2GcrgVaDsPjKfIz6Y4204XI4FnwoScULFId5pSuA1Q34h9+WOg4RkdY9eYL/ij3/EpUyPHvK7jMn8PICAgPjT8cLCABau5tDud4PfT1tse3yManjERFRJvM5eQGiqNlvKxQCT+fNAb7ts4OeyzC5b1XA5zSWDmmLCVs3SB0vx+InVkpWrxGBwOBqCHNkZZWI8p7zET6AoNDYJpcDJUtKk4fSzsYGcHMD7O3kmNP4FxjIjQClDH12D8Cxpyz6EBHlFn6Bfvj5bk/22zmYqs+2sQHGuw5DkYJmgG4k5l/+H36//LvU8XIkFnwoWS1KNwMAHPE/AqWolDgNEZH2rD3/J6bd6Au0Ghg/tBjxHxpXr+YqTzmVUxkdXDlnguaz5yPGKAhttreBX6Cf1LGIiCiDzj+7jlbbWiHG5BkqD1gJuTx+sl/22zlXgQLA7QtWGLbiT6DgM4w8OhJrrnMQQlqx4EPJqmdXDyZ6JggNf43jt+5IHYeISCtmrruEgY3dAf8mGDHYGM8DBfj6xg819vKSOh1lRIVyutjTbw1aOLZAVFwUms2dgeMPLkodi4iI0unI5SdwqVYYETeaoWGxhri4vD8C2W/nChYWAn7vOh7jao8DAAxauxILj/wlcaqchQUfSpa+jj6qKYcAv71Er/ZFpI5DRJTl/AL9MGvxSyCqAIoF/YTFTRfD1lZQDzGmnE9ProednXai6tcfEbXuCJq1iMXpJ1eljkVERGkU+CkQnSaegvKTLYwuz8JOz70w0DHQODWIcjZBEDDffT465Z8HbDyF8d2rYPnJPVLHyjFY8KEUta1TDvhSGG9fmWDv3vjZ74mIcqNrr66h9bbWULbrCqduPrhztAZkArvK3MhAxwCL2kyHXEcJhW4YWm9viRshN6SORUREqRQaEQr3Te6IcB0Ki+bLce10YRQwNpU6FmUBQRCwoP14mOaLA0xCMfJkP+y8v1PqWDkCP8VSijpWawzU+wVirD7atQPs7QFvb6lTERFlrmsBD9F0c1N8jvmMBiXr4frGLjA21JU6FmUhlzoGOH9eQO1xCxGufAP3Te64/ZqrUhIRZXevwz7CY7MH/D/4w6GgHW5ta4uyxQpKHYuykK2tgDtXzNF93mYo9T+h666u2Pdwn9Sxsj0WfChFYnhR4NxkQJQDAJRKYNAgjvQhotzj/J0XqFXNBO99u6O6dXXs67IPBjoGUsciLahZ1QhHe+9HzaI18SHyA+pPmoNj1x7D15f9HBFRdvT20xeUqv4ct7d5wtLYCid6nkBRs6JSxyItsLeTYWOn5ehWoRvilHHwnL0OKw+eZZ+dDBZ8KEVPnkBd7FFRKAB/f2nyEBFlptCIULSZthWKjzbQuzkKu9odgak+h4TnJWb6Zjja4yhsHsxF+IZt8KjuiIYNOaKViCi7iVHEwH3aYoQ/qQxcHo2NDU6hRMESUsciLZLL5NjYdiNqhS2AYvM+DG1Vj312MljwoRQ5OgIymaixTS4HSpaUKBARUSb5GBk/JPx95R9RsN1MnPM1hK2FudSxSAL5DfJjYqMhAEQAAgCOaCUiyk4USgV67O6BfyymQrf1KKzYHASPamWljkUS0JHpYEazkYjvr9lnJ0dH6gCU/dnYAKtWixg4QER8jVDE6tUCZ70nohwrOBi4disSs+73we3I27A0scS5dd1RsiBXI8zLypVMOLJLNaKVfR4RkTSCg4FHj0SseTYJf736C7oyXRz6rSXcS5SXOhpJSE8n4TyL7LMTYsGHUmVAfxlOhC3Fn9t14O75Cl5e/5M6EhFRunh7AwMHilAqDQHsgWH70Ti2oj9KFuSwxbwufkRr/LeEKoKgRIkS/32DSERE2vNfny0AmAu0DMe2ue5wL+EudTSSWGJ9NgQFitrHADCUKla2w1O6KNXGdq4JtByGC8rF+Br7Veo4RERpFhz87QdHAJAheu8SFIytKGkuyh5sbIA1a+JPW46nhCiLxdy/N0gZi4goT4rvs/FNny1AOLQSNc08Jc1F2UNifTZEOXr/vhqiKCZ3aJ7Cgg+lWo2iNeCQ3wFfYr/g8JPDUschIkqzJ0++/eAYT6kUOAk9qXl5AYGBwIkTgGOVEECUYfnhU9h5f6fU0YiI8pT4Pltzmyiyz6b/qPpsX1+gRZcQAMDFey8w8/RMaYNlIyz4UKoJgoBOTp2AZw0xYUR+vHkjdSIiorR5qDwACAqNbZyEnr5nYwM0agRc9S0KzzkrgUpb0GtPL1x9eVXqaEREeUZc/gfssylFNjaAmxuwb3NRTFh3EKjzG2aenomtd7ZKHS1bYMGH0qRz+c7AiV8RcKoxtuyIkjoOEVGqbTn6EMOHyQGPMRBk8V8ZyuXA6tWc3I8Sly8fsGP8MDR3bI7IuEi02twBzz++kDoWEVGu9/D5e7Tt9xRwHw/I4os+7LMpOXI5MNerJX6o8wMAoO/uATj56JLEqaTHgg+lSRWrKihUfx9QbTW+FvaVOg4RUaq8CnuNPr11oHzUHLaxHggIEOHrGz8M2MtL6nSUncllcmzz3IYyhi54vXwranQ5gYiYCKljERHlWrGKWNRr9xBfb7WEQUAn3H4Yzj6bUm1OozlobtsFMZv/QvO2n/H0faDUkSTFgg+liSAIGDgQQKvBuCKukjoOEVGKouOi0XFXe8S1bw8jp9M4t7Uu7O3kcHPjt4SUOmb6ZhhltRN4URdvzrSFp/dwKJSKlA8kIqI0G310NN7X6wOZ7VXsWG+BCo4F2GdTqsllckwu7w3heQPE+NdFkwXjER4dLnUsybDgQ2nWpXwXAMBR/6P4FPVJ2jBERMkQRRFDDw3FhRcXkM8+CDdOW8GucH6pY1EONLhXIYydFQDdga449mYjfjzxo9SRiIhynVXXVmHFtRUQzJ9iz7FQtK7nKHUkyoHq1jDCuj++wHxYezwz2IXOOzsjThkndSxJsOBDaVa+cHk4FXJCzHtLTFhwR+o4RERJ6v7TCaw/eRoyQYYdHXagtEVpqSNRDrZwWjH8MWAyAGDBxQVYd2OdxImIiHKPJdtvYbhP/BkEsxvORusyrSRORDlZvy4W+HvCbBjqGOKo/1GMOTpW6kiSYMGH0qWVTR9gSQDWTquPoCCp0xARJTR7/Q1sm90IWHsFUyqthEdJD6kjUS7QpXwXzHCdAbwpi4GdbbH35hmpIxER5Xi+119gTD97KNaehbvBZPxYj6MoKeOqWVfD5vabgY/2WDakI6Zuz3srd7HgQ+nSt05rwP404HAaz15+kjoOEZGGJ++fYP7T7oD1VZRy+QczWg2QOhLlIlPr/4T8h45A9PdAp/7BePTukdSRiIhyrIiYCAw71Q2i5U0YFw3A9qFTIAiC1LEol2hftj3K3fobCKqP2RPtcfTJ31JH0ioWfChdSluURsXxE4A+bnii95fUcYiI1MKiwtBmexuE6T1EjakTcHVPbchk/OBImUcuF3B8jxXyVzyP2EYj0XRFf+w9EobgYKmTERHlLEpRiV57euHB13MoPLgXLp4yR0FTI6ljUS7j+1cp2NW6Bnh2Qcf1o7Fhd0Ce6bNZ8KF061LREwCw494OiZMQEcWLilag5W/T8ODdAxQ1LYq93bfDzMhA6liUCzlX0cejC44wf+GFwBl+aNc8H+ztRXh7S52MiCjnGLVlGfY83AM9uR72dvsLFRyKSh2JcqFChQQ8OVcRjp+GI2LuXfTzLJZn+mytFHxWrFiBYsWKwcDAANWqVcPZs2eT3NfPzw+CICT4efjwoTaiUhp0Lt8ZAHDK/zwu334ncRoiIqBup8s4N20BdG97YW+XvShiWkTqSJSLxXwsjI9//gqIcgCAUilg0CDkmW8NiYgyYsScK1jWayhwcRRWtViF2ra1pY5EudibED083Tghz/XZWV7w2bFjB0aPHo0pU6bg5s2bqF+/Ppo1a4agFGb6ffToEUJCQtQ/jo5cki+7KV6gOMpEDIQ4LwSenlKnIaK8LDgYmLT6BG48eA8o9TDCtRecrZ2ljkW53JMn8R8Yv6VQAP7+EgUiIsoBgoOBtbv8sfJPf0DUQY0CLdC3Sl+pY1Eul1f77Cwv+Pz222/w8vJC//79UbZsWSxevBi2trZYuXJlsscVLlwYVlZW6h+5XJ7VUSkdujWqCMQa4+07Ee/fS52GiPIib2/A3l7Er4MbA/7NUavzaSwc6SJ1LMoDHB0B2fefpIQ46Fo8lyQPEVF2p+qzB3YoCcU/nWHbaB/ObmogdSzKAxLrs+VyoGRJafJoS5YWfGJiYnD9+nU0adJEY3uTJk1w4cKFZI+tUqUKihQpgkaNGsHX1zcrY1IG9KndGhhUFTEjrRCt90rqOESUxwQHAwMHiv99YyPKcXWnS64fnkvZg40NsGZN/AdGAIBMAbQahJEX2iMqLkrSbERE2U1iffYrv9Z4E6ojbTDKE77vs+VyYPXq+O25WZa+ut69eweFQgFLS0uN7ZaWlggNDU30mCJFimDNmjWoVq0aoqOjsWnTJjRq1Ah+fn5wcUn4jW10dDSio6PVv4eHhwMAYmNjERsbm4n3hhJjZWSF2tVMcTFYie23t2NEjRGS5lE953zuSVvY5qR16x8RSqWexjaFQsDDh3GwtBQlSpW12Oayl169gIYNgadPBRhavkSbI/twI+Q9+m/6CRt6zJY6XqZgmyNtY5vLnR48EKBUav75mV36bLa5vOHbPrtECRE2NoBUT3lG2lxajtFKOVUQNM+VE0UxwTaV0qVLo3Tp0urfa9eujRcvXmDBggWJFnzmzJmDmTNnJth+7NgxGBlxST9tKCeWw0VcxJoLa+DwuiTkcun/yDp+/LjUESiPYZuTxs87XgMYqLFNJlPi+fOTOHw4d4+wYJvLfr48AwZbjMLslRbYcqcb9F7PR5uy5aSOlWnY5kjb2OZylx3nPgDQnKsnu/XZbHN5x+3b8T9SS0+b+/r1a6r3zdKCj4WFBeRyeYLRPG/evEkw6ic5tWrVwubNmxO9bNKkSRg7dqz69/DwcNja2qJJkyYwMzNLX3BKk8qfK2PdkA94dHoaTnSzw5K5ppJliY2NxfHjx+Hu7g5dXV3JclDewTYnnVMBp3Cj9GDAWQHh+mCIogC5XMSKFUr06tVQ6nhZhm0ue3OPbY6Nv71CcHQ+bL4UglG9WsCpkJPUsTKEbY60jW0u93kR/gL9HlUHaoYDV0YAoixb9dlsc6RtGWlzqrOaUiNLCz56enqoVq0ajh8/jnbt2qm3Hz9+HG3atEn19dy8eRNFiiS+tK6+vj709fUTbNfV1eWLVUvsC9qjbIFKePC6MnbteYcVv0n/uPP5J21jm9Ou0IhQ9N7fGyJEeE27jhlVBfj7AyVLCrCxyRtzAbDNZU+6usD5IzZos3QSbpksQ5c9J3B1wFWY6JlIHS3D2OZI29jmcodYRSx67uuJD5Ef4Oy1Gdu3D8aLQP1s2WezzZG2pafNpWX/LH+FjR07Fj179oSzszNq166NNWvWICgoCIMHDwYQP0Ln5cuX+OOPPwAAixcvhoODA8qVK4eYmBhs3rwZu3btwq5du7I6KmXAwG7WGPNqAIq4PQNwUuo4RJSLRUYpUKf3Ebwu8xnlbcpjabOlMNLN/ZPuUc5hZyvH3zPGoMrqP/Dw3UMMPDAQW9pvSfJ0diKi3Kz1D/twQf8uzPKZYUeHHSheQB8lHKRORZQ3ZHnBp3Pnznj//j1mzZqFkJAQlC9fHocPH4a9vT0AICQkBEFBQer9Y2JiMH78eLx8+RKGhoYoV64cDh06hObNm2d1VMqA7tXaYLzzYPzzWQH/D/4oWTCXr29HRJJp1OsqAnb3hcy+FHZcKQgjXc7XRtlPYePC2NFhB1xXtsG2Ga1QLPpPzO7WWepYRERaNWHRTRxd1AEoWAkrj91D8QLFpY5ElKdk6bLsKkOHDkVgYCCio6Nx/fp1jcmXfXx84Ofnp/59woQJ8Pf3R2RkJD58+ICzZ8+y2JMDFDIuhIbF4s+//fPenxKnIaLcyjfAFxeNJwKmwRg5NhpOhctKHYkoSfXs6qH6PV/gblfMGVMOV4KvSR2JiEhrgsODsfrZBCBfIKo38Ue3am2ljkSU52il4EN5Q+dynYHHzTFvdFVcvSp1GiLKbV5HvEa33d0AhzPoue5/WDRS+kkeiVJywLsCzMveg9i2Nzrt7IAPkR+kjkRElOXilHHouqsrwi1OoOKM3vDdwD6bSAos+FCmaVe2HYQ7PRB2oymWe7+XOg4R5SJfIxXo9MdQhEaEolyhcljV7jepIxGlSqFCAvxvFEXxcp/wPOw5eu/tDaWolDoWEVGWmnBgNs4FnYOZvhl291oPY4OEi+wQUdZjwYcyTUHDgqje8g5QZz4MnHlaFxFlnkY9r+HMj0uh/7IR/uz4J+ftoRwlv0F+7Oy4E/pyfRy8egujN2yUOhIRUZaZ+Ns/WNRtCODvjnWt1qFEwRJSRyLKs7LXOniU4w3rXAZX9HvjdHQZiOJgrkhCRBl25N5ZXDpjDnwuiiHlJ8GpkJPUkYjSrEqRKhjvsA2zf6mP33WiUTj2Lvq0KM/V5YgoVwkOe4nfln0FvhZGtdjR6FiOc7ESSYkjfChTtSndBvpyfTx89xB33tyROg4R5XBvvryB19HOQP8acBm3AotGNpI6ElG6/dCqLQz0dIDP1pg2uDzs7UV4e0udiogoc8Qp49Btd1fEdWsA6w4L4OfDeXuIpMaCD2WqfAb50MyxGfDGCSMnvYZCIXUiIsqplKISPXb3QEhECMoWtcPhX3pLHYkoQz5/FhDzOR+A+NGvSqWAQYNEBAdLm4uIKDPM8JuBs0FnYWKsC79VbWBiYCB1JKI8jwUfynSepboAG87g9AZ3LF7MD7JElD4Ne13E8YOmMNQxxF8d/4KxnrHUkYgy5MmT+CLPtxQKAf7+EgUiIsokU5b+g9m/vwAArG21Fo7mjhInIiKABR/KAm3LtYBgdQeAiPHjBdjbg0PWiSjVgoOBIZOf4vTmusCfuzC59BaUK1xO6lhEGeboCMgSfPIS8Vn3kRRxiIgyxYETb/HLuFLA3o1wj16JLuW7SB2JiP7Fgg9luk9vTCAGuuC/IevAoEHgSB8iSpG3N2BvL2LVnBIAlLCu8g+meLaVOhZRprCxAdasAeRy1RYRgICBCw8gMjZSwmREROmzZq0CrZsUBOIMAYhoY9dP6khE9A0WfCjTPXkCQNRsWgoFOGSdiJIVHAwMHCh+c8qLDK9vV8TLl1ztj3IPLy8gMBDw9QXW/BEG4+Y/I7TCRPx44kepoxERpUlwMDB4sACIqiq2gFHD9fglL1E2woIPZbr4Ieuixja5HChZUqJARJQjcH4TyitsbAA3N2BAz/z4a7EzIFNi6ZWlOPLkiNTRiIhSbf3eJxCV/JKXKDtjwYcyXfyQdQGCTPnvFhG//hq/nYgoKXeev0D8KS7/YbGYcrtmjs0wssZIQCmgy/QDCAl/I3UkIqIUBQR/wcwfzcF+myh7Y8GHsoSXF7Dv0j+A5S2gwFNUcA6XOhIRZWMxihgsPLUBEBRQfXiUy4HVq1ksptzv18ZzYbr3JMK3rUDDQYcgimLKBxERSWjImvVQRhtCZvYacjn7baLsigUfyjItnSvD6YcRwEhHPDL0kToOEWVjM/xmIKjEdJiNbAS/K2/g6xs/z4mXl9TJiLKeoa4BxvdxBHS/4GHkGay4ukLqSERESdr3cB/+lo8EBlbH2j+fIzBQYL9NlE2x4ENZRhAEDK3fBRCAtTfW8htLIkrU2edn8eu5XwEA6weOhGt1S7i58RtCylumjbbBzF3bgSo+GH98PO69uSd1JCKiBEIjQtH/QH8AwA9tm6OfR031vGTst4myHxZ8KEt1r9gdhjqGuPv6LraevC11HCLKZu49CYdHqy8Qw4qib+W+8HTylDoSkSQEAZjWsh+almyKqLgodN3ZA1FxUVLHIiJSi4kRUaPNDbwLNkUly0r4ucHPUkciohSw4ENZKr9BfrRx6A38/hg9m5bDG85FSUTf8Oj2FJF3msLwyBYsabpE6jhEkhIEARvabECBiFq487+16Dhzu9SRiIjU2g27hhenmgN/+MKn1Rbo6+hLHYmIUsCCD2W5YfW7A4bvIep8xfkrX6SOQ0TZxPa72/Gydieg2CmsX2UCU31TqSMRSc7KxApNvmwEQpxxcEUdHHl0XOpIRER48PYBTuTrAdidQd8J91C5aDmpIxFRKrDgQ1murm1dFO83ExhrjddWm6SOQ0TZwIuwFxhyaAhg7o9p3n7o4lpV6khE2cYfi0uhYmtfoE8D9DvYC2+/vJU6EhHlYTGKGPTY0wMxpo/h/vMvWPdjU6kjEVEqseBDWU4QBAxr5g7of8HaG2uljkNEEvvyVYmOq6bgU9Qn1ChaA9NcpkkdiShb0dMDLu2shbLF86knSOXCB0QklbF/LsKNkBsoaFgQPu3WQybwT0iinIKvVtKKXpV6QU+uhxshN+D34B+p4xCRhDx6/YPLU1dB714/bG63GbpyXakjEWU7hrqG2Oa5DXpyPez3DcbI3w/B1xcIDpY6GRHlJTN+f4jlPUcBl4djbau1sDa1ljoSEaUBCz6kFRZGFmhp3xXYfBjuVcrgwwepExGRFK69+AcXbn0A4owwxKUDHM0dpY5ElG1VsqqEHnp/AmsvY9moFmjYELC3B7y9pU5GRHlBWFQYFmy8DygMUMnUHe3Ltpc6EhGlEQs+pDVD6/YCPhdBXLQ+Dv3NpWaJ8prI2Ej0OdAdYnd31J4yFYuGcQ4AopSMbtYKEOUABACAUgkMGsSRPkSU9UYcGYEvLT1RuPdInPJuIHUcIkoHFnxIaxoUc0PRrrOBESURV2ab1HGISMsmnZyEe2/vwdK0MPZNGgVBEKSORJTtvXsng6rYo6JQAP7+0uQhorxhx90d2HR7E2QyGfb83AUFTbiSJlFOxIIPaY1MkGG4ZzXA/CknbybKQ4KDgY4DArDkf4UBpQwb2mxAIeNCUsciyhEcHQHZd5/WZHIRJUtKk4eIcrfgYGDe0g/oNfg9oNDBlPpTUMe2jtSxiCidWPAhrepTuQ90ZDq4GHwRd0LvSR2HiLKYtzdgby9i57piwPnJcLp8Bs0cm0kdiyjHsLEB1qwB5HLVFiX0bP6BuWWklLGIKBdS9dkTRxVEzPmhMNvjx5U0iXI4FnxIq6xMrNDcwRM4shh1KlojPFzqRESUVYKDgYEDRSiV/52O8uhEHc49QpRGXl5AYCCwaFkEICgR9bwy+i1fI3UsIspF4vtsaPTZEffr4HUIV9IkyslY8CGtG1SzN/C0CSLeFsCOv2KljkNEWeTJE80PjgCgUAice4QoHWxsgNHDTND/x8dA57bYETYGpwNPSx2LiHKJ+D5bc5tSyT6bKKdjwYe0zqNkE1i0mQ90bwqDqn9JHYeIskiE+BoQFBrb5HJw7hGiDFj7ixP6dysEESL67OuDz9GfpY5ERLlAIctY9tlEuRALPqR1cpkcw3vYA45/w/sfDkknyo0iI0V06xUJmAarP0DK5cDq1fEjFYgo/X7z+A0O+R0Q+OYNuv22Uuo4RJQL9Bp/DzAOZZ9NlMuw4EOS6FelH2SCDKefn8bj94+ljkNEmeyXPbsR8cEEUBhgz6kg+PrGz0Hi5SV1MqKcz1TfFPNqbAVW3cLB6UOx7oSv1JGIKAc7dfcObp4pAkQUweiF59lnE+UiOlIHoLzJNp8tPBxa4ch2GzTaqYNHlwEjI6lTEVFmePbxGRYF9gaGmmBEqcVo69ZF6khEuY5nzdqwKeqP4OcfMXH/ArSrUxHmRuZSxyKiHCY6LhqjznYDhoagRtQ0/DZ6JAQh5eOIKGfgCB+SzADnvsDFcQi+Wxzb/4yTOg4RZQKlqESfvX3wJfYLXMqXxuIBnaSORJQryWSA7/6iKDW1Az6YH8bQw0OljkREOdAMvxm4++YuCheW4+CcbhBY7SHKVVjwIcm0KtMC+ZosBZqNgFDqkNRxiCgTtB56AWcvRsJY1xg+bXwgE9jNEGWVkg6G2NJ9OeSCHH/e+xPb726XOhIR5SALNjzA3G3nAQCrW65GIeNCEicioszGT+IkGR2ZDoYNNAJqLsP2ZyukjkNEGeT9VxAOraoHeF/AlIprUKxAMakjEeV6ztbOmFJ/CvC0EXp1MkPg+1dSRyKiHOBp0FdMHF4E4no/NFL+irZl2kodiYiyAAs+JCmvqvGzwR17egwBHwMkTkNE6RWnjMPyYC+g/FbYNTqMH1t0lToSUZ4xuupU6Oz5C7EPmqPp8CMQRVHqSESUzc2/MhPKUnuga3MHW8cNlDoOEWURFnxIUsULFEcjB3fAvwnadP6E6GipExFResw9Nxc3w08gf49hOLvDmXMAEGlRgXy6mLsoArIaq/Co+Eisu7FO6khElI35Bvhi9b15QNt++OvQWxQ2KyB1JCLKIiz4kOS8Kg8A9q3HneNVsHuPQuo4RJRGZx/fxszTMwEAvzf7HXYFikqciCjvGdvfFnMXRQB6XzH22FiOmiWiRL37HI6++/oCAAZVG4Q2FRtLnIiIshILPiS59uVaw6j+WqDyelwO/AfBwVInIqLUevEqGg2rWyP28K9oXbwTulfoLnUkojxrTK0xqG9XHxExEWjzy1KcPKVkn0pEakolUKneSzzfMgH2huUw332+1JGIKIux4EOS09fRR/3STsA/vbFkUlXY2wPe3lKnIqLUGDj/COLCLSAPbIplLX7nqVxEEpLL5Fjf2gey9RdwZ8EiNG4kY59KRGrzt17Gq9tlgX9645ea3jDVN5U6EhFlMRZ8SHLBwcDxJR0BUQ4g/tuHQYPAbyWJsrlLwZdwrIAn0K0F5q0IgW3BwlJHIsrzDCKLQxlUS/07+1QiAoAPkR+w5HU7oGdjNB29G91ca0odiYi0gAUfktyTJ4BSqTkqQKEA/P0lCkREKfoa+xW99/aGUlSiR4eCGNuukdSRiAjxfSrAPpWINI08MhIhESEoXSMYu2d3kDoOEWkJCz4kOUdHQPZdSxQEESVLSpOHiJL34gVQu/11PH4IWJtaY2nTpVJHIqJ/JdqnypTsU4nyqOBgoNvou9hy4gZkggwb226Eoa6h1LGISEtY8CHJ2dgAa9YAcrn47xYRjXrcgo2NpLGIKBHe3oC9vYjbB+sDyx+iw9e/UcCQy7kSZRf/9an/bhDiALszeP7lnqS5iEj7VH32tiXlgZX30ODVAdS04alcRHkJCz6ULXh5AYGBAkYs3wOMsUWAc0colFyinSg7CQ4GBg4UIYqq00UELJ9RnnODEGUz8X0qcOqUiPzF/SEGuqF1nwDEKmKljkZEWqLqs/+bNkGA37pm7LOJ8hgWfCjbsLEB5vRvgoJWkXj68Sn2PtwrdSQi+gbn2yLKOWxsgAYNBGxeYwF5kTv4UPEnzDk3R+pYRKQliffZAvtsojyGBR/KVoz1jDHUeSgQa4Dxv/jjwgUx5YOISCuCZL6AoDnyTi4H5wYhysZaNLSAz5E7gPVN/HzmZ9wKvSV1JCLSAhOrUPbZRMSCD2U/w2sMh9zvFwRumYhxUz9KHYeIAFz5JxxensWAGkshyJQA4j84rl4NzrdFlM11r9gV7cq0Q5wyDt23jECMIkbqSESUhSIjRTT1fAM4rwRk8UUf9tlEeZNWCj4rVqxAsWLFYGBggGrVquHs2bPJ7n/69GlUq1YNBgYGKF68OFatWqWNmJRNWJpYokOvd0ABf3yx2wWRg3yIJNdl5D0o3jvAKLwaHj6Jhq9v/BwhXl5SJyOilAiCgFUtV8H0cX/cn7oPXWftkToSEWWhPpOv4cODisADTxw4+4x9NlEeluUFnx07dmD06NGYMmUKbt68ifr166NZs2YICgpKdP+AgAA0b94c9evXx82bNzF58mSMHDkSu3btyuqolI3MaN8TGFEKd4sNwuP3j6SOQ5Sn7X+0HwH1GgF152GLjxFKFTeEmxu/JSTKSQobF4aH2WggqiB2b82Pa6+uSR2JiLLAi7AXOGLeHKg3B72mnkfLOo7ss4nysCwv+Pz222/w8vJC//79UbZsWSxevBi2trZYuXJlovuvWrUKdnZ2WLx4McqWLYv+/fujX79+WLBgQVZHpWykjEUZtC7bCiJE/HbxN6njEOVZ77++x6CDgwC9SIz/6S3a1nCWOhIRpdOWJeVQtf86oGtL9N7bG9Fx0VJHIqJMJIoi+h/oj8+Kd6jVZz/W/9BO6khEJDGdrLzymJgYXL9+HT/++KPG9iZNmuDChQuJHnPx4kU0adJEY5uHhwe8vb0RGxsLXV1djcuio6MRHf3fB5bw8HAAQGxsLGJjufxoTja6+mjsf7gfG/YGwOnlBwz1Mk3xGNVzzueetCU3t7mYGKD9L2sQqheKMuZl8FP9n3Ll/cxpcnObo6wlCMDBBS1QeU1B3H97H9NOTcPsBrNTPI5tjrSNbS59ftq6D8cCjsFA1wBrW6yFUqGEUqGUOlaOwDZH2paRNpeWY7K04PPu3TsoFP9v777Do6j6No5/ZzeFUAJCTCAEQi9SlC5NAkiRqiKCdMhDQhFpIkWUooCgIiJFAkFQQLBQpBMlIEh9QRCRLgFC7x2S7M77RwwSQZokk2zuz3XlesxkZvfm2ZOZye+cOceBn59fou1+fn6cOHHirsecOHHirvvHxcVx5swZcuTIkehnI0aMYMiQIXe8zooVK0ifPv1//BeIlUzTJOexthydOo0+X1/BL8tyvLwc9z8QiIiISOJ0Iom5Ypsb9UUG1i3oD+W8Ce55nZUrVlodSW7jim1OkkcH3w58cPADPhp/Hve9kymfK+cDHac2J8lNbe7B/bzVxuihr0DR72j2xlIObDzAAQ5YHSvVUZuT5PYobe7atWsPvG+SFnwSGIaR6HvTNO/Ydr/977YdoH///vTq1evW95cuXSJXrlzUrl0bb2/v/xJbUoBrgTdp+cM2bHm3Uq5iE3L737uIFxsbS0REBLVq1bpjNJhIUnDVNnfq6il+HTcTjCAa1XqC7q+EWB1J/uKqbU6STz3qMb9JZXYvbMCY/as5tqkU6T28/nV/tTlJbmpzD8dpOnnr+4lgi8XvSXc+bz8Ou81udaxURW1Oktt/aXMJTzU9iCQt+Pj4+GC32+8YzXPq1Kk7RvEkyJ49+133d3NzI1u2bHfs7+npiaen5x3b3d3d9cvqApo9/QoD+xXh4MX9LDt5na6BXR/oOH3+ktxcqc2Zpkn3Fd25XuV7ClX5mW/e/h53N9f4t7kSV2pzkvymDqlC5R8vcC3gB4auWcTHdT+87zFqc5Lc1OYezITNE9ibvyfpusxm2ZszSeeZzupIqZbanCS3R2lzD7N/kk7a7OHhQZkyZe4YphQREUGlSpXuekzFihXv2H/FihWULVtWv3xpkN1mp3elHgCM3jAah/PBHukSkUc3+/fZfL/re9xsbswOeQ9PtzuL6iKSulUslYXZazdApdF8svFj1h5ea3UkEXkEB84doE9EHwA+bN2KZwLzW5xIRFKSJF+lq1evXkyZMoWpU6eya9cuevbsyeHDh+nUqRMQ/0hWmzZtbu3fqVMnDh06RK9evdi1axdTp04lPDycN998M6mjSgrVvlR7snll48+oGDr0+52/nvATkSSw8McztH0tI1zxZWDVgZTKUcrqSCKSRF4tXZd2z7TDxKTVF/1Zsvw60dFWpxKRB3X+gpPKjfZw7cwTBOUJoku5LlZHEpEUJsnn8GnWrBlnz55l6NChHD9+nOLFi7NkyRICAwMBOH78OIcPH761f968eVmyZAk9e/Zk/Pjx+Pv7M3bsWJo0aZLUUSWFSu+env8V787Id7rzZYw3HeqbVKv273NAicijcThMWna4QuyRhvj4jGPABy9aHUlEktgndT5h7uRCHFrcj/oY2GwQFgbBwVYnE5H7qd9uJyd/qYct6gfCBz6BzUjyvnwRSWWSZdLmLl260KXL3SvO06ZNu2NbtWrV2Lp1axKnktSkV7VQPnx6Ds7T+dl94QmqoVEHIo/bjB1fcrn+xxg/fcD8sGK42/UYrYiru3ImC5eX9APiO1KcTggNhTp1ICDA2mwi8u/2nt3L1sA2EDCBXoNOkS9raasjiUgKpDKwpAq+GXzp0H8rtKvJ4muDrI4j4nKiL0XTfVl3yL6DYeHbqVzoKasjiUgy2LcPTDPxqFmHA/bvtyiQiNyXw+mg3fx23My6jeeHDWJUcCOrI4lICqWCj6Qab1btgYHBwr0L2X1mt9VxRFxCdDQsWmTyyiejuHjzIuVzlqdP5T5WxxKRZFKwINj+cTdo2BwUKGBNHhG5v/eWfs766PV4e3oztXE4hqGpDkTk7lTwkVSjsE9hGhVuBLGedBy8kZMnrU4kkrqFh0NgIDRsaLBx8KfYl3zO9Ben42ZLlqd9RSQFCAiIn7PHbv9rgxGHWe1dlv2xxtJcInJ3Q0cfY8iLHWBNHz6p8wm5MueyOpKIpGAq+Eiq0qdSH/jmO9aOb8vIT65YHUck1YqOhpCQ+Pk64hk4N3ck440iVsYSEQsEB0NUFERGQs3u38CagXQJ9ubUpfNWRxOR24RNdjCodw6I84KfRuLc0t7qSCKSwqngI6lKpVyVKPj8L+B9mD2xEVbHEUm19u27vdgTzzRtmrdDJI0KCICgIJjU4yVsHjeJTXeM1+f3tzqWiPwlOho6dTJImGAdDDp1MoiOtjKViKR0KvhIqmIYBsO6lIPu+VnvG8zVmKtWRxJJlQoWBMOWuOJjt6N5O0TSuPyBXsxZfhCjVQO+PTiJubvmWh1JRIClG/djOhP/6aYJ1kXkflTwkVTn5acaU+DJPJy/cZ6Pl88hMhL1bog8pHk/RWMUnwNGHBBf7Jk0Scswiwi8UqUU/ar0BaDTok6cunrK4kQiaduBqJu8PXUFGI5E29VRIyL3o4KPpDp2m51ez/aCLR0Y1LgdNWrETzwbHm51MpHU4cSpOHp1zYjzt9co1OwLVq40iYqKn8dDRARgULVBFM/2DKeXhlKj/TpM07Q6kkiaZJrw/CuHOL2kC275fsFuj/9dVEeNiDwIFXwkVXrepx0snAxmfBN2OiE0VCN9RB7EpJ0jiHvuHeyBG1n2WT2qVzd0wygiiXi6efK637cQ+R575zdh3u97rI4kkiatO7KOQzk/gvSn+GRsDFFRBpGRqKNGRB6I1t6VVCk6yuuObQ4HHDhg3GVvEUmw5dgW3l87FCrEMW1ERfL6VLA6koikUKFNCzC96UbWO8bynbmAIZebkSdrHqtjiaQZV2Ou0nZ+G8zSB2jRwsnr9aYAGtUjIg9OI3wkVSpYEGy2xMPL7XbIn19DzkX+zdGTN2g9tx1xzjheeeoVWpZ8zepIIpLC/Ty7DGXr7OWa8yqdFnfSo10iycThgN5L+3Hg/AECvAMY3/gjqyOJSCqkgo+kSgEBEBZm/L3KkOFgwkSHejxE/oXDARWeP8auUZ/jc7McE+tPxDA0Ik5E7s3N5kZ4w3DcDXeW743kvbnfWh1JJE0I6bePSV3awKmifNH4C7Kky2J1JBFJhVTwkVQrOBh27r2Kd0hj+F8FFqz/nZgYq1OJpExf/fR/HN3rAydLMqLmB/ik97E6koikEkV9itLYrSeE/R+DgyuxPeqQ1ZFEXNqxcxeYNskbjpWjhkd/ns/3vNWRRCSVUsFHUrWi+TMxsFU1+PZblnzxNFPCHfc/SCSNuXzzMkN2NYUuJajVdyr/q1nD6kgiksq8lK8S6ciCGedO+6nDcZpOqyOJuKx+q9/A2bEU2RqMZsEHL1sdR0RSMRV8JNV7/dnOZA6aCrnXsN9jntVxRFKc3it6E3UhisBAg+/ebm91HBFJhTJ4wZxvYvHqXp5f7WGM2zTO6kgiLmnurrl89dtX2DKfZNHESmT0zGB1JBFJxVTwkVTPy92LD/rnhvbPMedyd647rlsdSSTF6Pbeb0xeug4Dg+kvTsfb09vqSCKSSr1QKRcfv9gPgL4/9mX1bweIjIToaIuDibiI5T+fJfjz8QD0rdyXZwOetTiRiKR2KviISwgu044C2Qpw+tppFp5eaHUckRRh+aqLjBtUDMK20C73+1TLU83qSCKSynUq24la+WpxY9k7BD2djxo1IDAQwsOtTiaSul25YtKk2U0ujFtG4Ik3GFRtkNWRRMQFqOAjLsHd7s7QoKHgcOPbxdkYNUajfCRtM02T8fvehIJL8C69gvGtelodSURcgGEY9MwzHdb2B+JX+nM6ITRUI31E/osvf/2aq1l/gYwnmNGzI55unlZHEhEXoIKPuIxmxZuR+2QXYheOZehgD86csTqRiHVm/z6bhcemYGvxEktm++Pl7mV1JBFxEenicpBQ7EngcMD+/dbkEUntDl88TP9fOkPTV+n/5VyqFCpudSQRcREq+IjLsBk2PulWHQosxaw+gMscszqSSLKLjoYZ35+m89fDAHi32jtUzlfG4lQi4koKFgSbzUy0zW43KVDAokAiqZjD6aTDgg5cunmJZ3M9y9CGXa2OJCIuRAUfcSkNCtWjSGgvYst9wocb37c6jkiyCg+HwECT1q88ycURv5F733sMqDrA6lgi4mICAiAszMBu/6voY8RRvs18AgKszSWS2kRHQ/FKR/hp7MukM7Pw5Ytf4mZzszqWiLgQFXzEpRiGQascrQCYvHUyf57/0+JEIskjOhpCQsDpTHjMwkb07Lc5edzd0lwi4pqCgyEqyuCD6f8HT3/J+i/rMXb+WqtjiaQa4eGQO9Bk98ZA2NKZaodXUDBbQatjiYiLUcFHXE7xjMWpna82cVHlqBx0jQMHrE4kkvT27YufOPV2ToehOTVEJMkEBMBbrcuSP30ZcHjy9pSVnL562upYIilefCeNiXmrk8bgxy/LauJzEXnsVPARlzS02lBY/S4nfitOr7fPWx1HJMkF5osBw5Fom92O5tQQkSRlGBD5XSECXw/hSrlBdFzYEdM073+gSBoW30nzz4nP1UkjIo+fCj7ikkrnKE3NjpFQagrXq/SxOo5IkoqLg/8Nj4B6XcGIA+KLPZMmoTk1RCTJ5crhxYK3u+Jh92DBngWE/xpudSSRFG3l9l3qpBGRZKGCj7iszzq0w/ZiKBFnw9kYvdHqOCJJJrj3QSLD6sNvrZn0YwSRkRAVFT/HhohIcng6+9MMqzEMbnjTuUscG3ZrDj2Ru/l5w2XefzM/pD+DYYsv+qiTRkSSigo+4rKKPlmUtk+3BWDAygFohLm4orPXzrL4+kDIcILqr+4ipMYLBAXpplFEkl+vir3ItnQZcRs7Ua/FIWIdsVZHEklRTNPk/ZUfQYYTpM+3nZ17rquTRkSSlAo+4tIGVRuE+40crJzYgMq1NJGkuBbTNAlZFMLZnLMoMKg+C4e/ZnUkEUnDbIaNWePzYvPdzfnSAxi2ZpjVkURSlJk7ZhIROxRbl9LMnfkERQtkVCeNiCQpFXzEpQVmCaRFoVDY1JX1Pz3J5s0a5iOuwTRhwrrpzN01F3ebO3NaTSaDRwarY4lIGle7cna+itgGuTbw/s/vs/7IeqsjiaQIB879SZfFXQAYXLc7dUqUsziRiKQFKviIyxvZtBMedd+B1rXYdmU5kZFo2UtJ9T6ceJxuDarDocoMqzGM0jlKWx1JRASAFiWb07JESxymg9e+7M65K5etjiRiqcPRcZQs6eTyrvJUyV2FAVUHWB1JRNIIFXzE5fll9KNPb3e4mJuQmrWoUQMCAyFci4hIKnUjNobBH1zEvBBIvovB9K7U2+pIIiKJjKs3jiePteHQ8EXU6LDa6jgilnqp8zauHS2AbeWHTG/8FXab3epIIpJGqOAjacJrufvAwjAw4y+wTieEhmqkj6RO764ayPWW5Ulf9z0ip9TGZuhULiIpS5Z0Weha8i245sv2NTn5Zvt8qyOJWGLdkXX8+nQQlB/LyAlHyZc1j9WRRCQN0V8JkiacOpL5VrEngcMB+/dbFEjkEf305098uO5DSHeZWZ+UJPcTOa2OJCJyV4O6FqNh/68huCJdlv+P45ePWx1JJFldunmJlnNbYrpfpVW/zbzZqIHVkUQkjVHBR9KEggXBZks8YbPdDgUKWBRI5BEsirjIq8O/BCC0TCiNizS2OJGIyL19914TnslVlLPXz/LaF31YudLU6FpJE65dg0aDpxB1IYq8WfIyvt54qyOJSBqkgo+kCQEBEBZmYLM54zcYcbw/+rSWwZRU4+xZk1ebx3IufDo5DvZmdJ3RVkcSEbkvD7sHM1+eidu2UFZ3/5KaNQ3NoydpQsN2+1j9QS+MiFHMeHkG3p7eVkcSkTRIBR9JM4KDISrKoHS/3tAjD2t82mGaWqZdUofZe8O5XuhLyLaXbwe2Jr17eqsjiYg8EO+bT+FYMJGE207Noyeu7uD5KNaemQ9GHK1e8qNSrkpWRxKRNEoFH0lTcuUymNU7BI+sp1mybwmDp64lNtbqVCL3tvvMbvqsfAPq9mbYnKVULvC01ZFERB7Yvn1gmkaibZpHT1xVnDOO1vNaEVPtLUp/0IypPVtYHUlE0jAVfCTNKexTmLcqvQULpjD0f1X56JObVkcS+Vfbd9ykwbDRXD+blVr5atGvRjerI4mIPJT4efQSbzNsDvLn1yhbcS1HjkDHT2fxy+9RZPLIxHcdP8LN5mZ1LBFJw1TwkTRpQNUB+BTeB7ZYFv2+yuo4Inc1aRI8U9KDA2PCYMwh6lz6Rkuwi0iqEz+PXvxiCQAYcZj1Q5m++TtLc4k8TuHhEBhoMq1XGxhziFdvLifvE3mtjiUiaZz+cpA0ycvdiy8GPwddn2JjgfrsOLnD6kgiiURHQ+fOJvDXYxCmnb7ds2jOCxFJleLn0YPISOg5/QvY9TLvtHyepZt2Wx1N5D+LjoaQEPPvRxdNO9Per6hrtohYTgUfSbMaFK7Hy1VK4jAddF7cGafptDqSyC1rfz2pOS9ExKUEBEBQEIxoFkwW8kJcOv43ZSxXYq5YHU3kP9m718Tp1DVbRFIeFXwkTRtTZwwZ3DPwy86D1G65ixs3rE4kAjGOGEbu+h8YjkTb7XYoUMCiUCIij4mnh42VC33x7d6IYzkn0nlxZ62aKanaz1fCdc0WkRRJBR9J03JlzsW7zw2G6T/x09fFGPT+NasjSRp35QqUqvd/bDv1f6R/uSd2e/wfQXZ7/Jw+AQEWBxQReQxKFcnGd93exW7YmfHbDL7Y9oXVkUQeybtj9vH+qg+gYQg2W/xocV2zRSSlUMFH0ryeFbuTq/EUCFjHPp+PrI4jaVyjdgf4Y0UlmLWIOcPqEBVlEBkZP/dFcLDV6UREHp+qgVUZWn0onM9Dx6a5Wb55r9WRRB7K/KUXeK9XPhwTN9Gofjpds0UkxVHBR9I8d7s7M999ETpUYd7FQaw7ss7qSJJG7Tq9iw25XoHsv9Km71YaFK5/a84L9RKKiCvqV6UfPpFzcB54niZtT3I15qrVkUQeiMPpYPSebpBjC95Pr+KrNh+QK5eha7aIpCgq+IgAVQOr0L50OwA6L+5MTFyctYEkzbkSc4Um3zThepZtVB/Rh6ndOlgdSUQkydkMG8vn5MOzaARX67ag65KuVkcSeSDD1gxjzcUZpAupzU9zCuOdLpPVkURE7qCCj8hfRtUaxROePvy2sDJ5ipznihYNkWRy5oxJ888Hs+vMLvwz+TO76SzsNrvVsUREkkXpIj4sX+KBLcsxpm+fzvRt062OJHJPczasZvCqwQCEvfgZZQOLWRtIRORfJGnB5/z587Ru3ZrMmTOTOXNmWrduzYULF+55TLt27TAMI9HXs88+m5QxRQDwSe/D+8+NgnVvcvzAk4wae8HqSJIGOJ1QrdFhFr85GNvexsx5ZQ6+GXytjiUikqyq5anGkKAhAHSaHMaK/9tncSKRu5s6+wzNq5bH3BJMx9Idaf10a6sjiYj8qyQt+LRo0YJt27axbNkyli1bxrZt22jd+v4nxbp163L8+PFbX0uWLEnKmCK3dKrYliLtPoN6Xfkjf6jVcSQNWLX3/9h14gCYNnrWfZkquatYHUlExBL9q/Sn5NnB3Ji0khdfucGFq1o5U1KWWEcs/cZuhjgvnrxanbEvjLU6kojIPbkl1Qvv2rWLZcuWsWHDBipUqADA5MmTqVixInv27KFw4cL/eqynpyfZs2dPqmgi/8pm2Jjdtx1lwsrw/W4Hy/a3p26BulbHEhd19tpZ2i9rgtk6mupevfiw1SirI4mIWMZuszO1cxfKTbnG9XR/0uGL2XQrNoyCBTUJrqQM/X7sx+lan+CVsxOrP+tNOrd0VkcSEbmnJBvhs379ejJnznyr2APw7LPPkjlzZtatu/cqSKtWrcLX15dChQrRsWNHTp06lVQxRe7wdPaneaPCGwCEzHifqdNiiI62OJS4nNg4J63ntebwxcMU8MnHvB4DMQzD6lgiIpYqU/RJvlyyGwovYt4bQ6lRAwIDITzc6mSS1s3dNZfRG0aDzWTWe7Upmj2/1ZFERO4ryUb4nDhxAl/fO+eh8PX15cSJE/963AsvvEDTpk0JDAzk4MGDvPPOO9SoUYMtW7bg6el5x/43b97k5s2bt76/dOkSALGxscTGxj6Gf4mkJgmf+X/97AdWHkj4+CwcWfgOwRjYbCYTJzpo3958HDHFhTxKm4uJgacqHuNwjqJ4Vo3k65e+Jr09vc5Z8kAe13lO5EEld5urHFgWY1EFTDO+X9LphNBQkxo14jTSJ41Iaee5Tyaf4p3v90IVGz0rdqd+/vopJps8HimtzYnr+y9t7mGOeeiCz+DBgxkyZMg999m8eTPAXXurTdO8Zy92s2bNbv138eLFKVu2LIGBgSxevJiXX375jv1HjBhx1zwrVqwgffr098wprisiIuI/HX/mTDouLxoIxLdVp9Ogc2cbdnsEPj43HkNCcTUP0+amLzU5vONF2DeQlnW8OLrlKEc5mnThxCX91/OcyMNKrja3Y4cPprNyom0Oh8HMmRspUeJssmSQlCElnOdOnDHo1+N5zNh+5PC5TOVSpTW/qAtLCW1O0pZHaXPXrj34HHcPXfB5/fXXad68+T33yZMnD7/99hsnT56842enT5/Gz8/vgd8vR44cBAYGsm/f3Vdr6N+/P7169br1/aVLl8iVKxe1a9fG29v7gd9HXENsbCwRERHUqlULd3f3R36dVauMWz2LCZxOG4GBNalWTaN85G8P0+aio2H99jNEZq0D9Zfz/NNF+LzboGRKKq7icZ3nRB5Ucre5kiVh0CATp/O2DkLDSbPmZcgTmGSD0yUFSSnnuehomDTzE8yaP+Jx5AXWjOtI7iw5LcsjSSeltDlJO/5Lm0t4qulBPPRV08fHBx8fn/vuV7FiRS5evMimTZsoX748ABs3buTixYtUqlTpgd/v7NmzHDlyhBw5ctz1556ennd91Mvd3V2/rGnYf/38ixYFmy1+GHkCw+akSBE31Kzkbu7X5sLDISTExOnMAcav5Gr1Pj8MDtF5Sh6ZrnOS3JKrzeXNC2FhEBoKDgdgOKBhCJ/ty8DYAloVKS2x8jwXHg4dQ5yYzrfAcNB12B7yP5nHkiySfHRtleT2KG3uYfZPskmbixYtSt26denYsSMbNmxgw4YNdOzYkQYNGiRaoatIkSLMmzcPgCtXrvDmm2+yfv16oqKiWLVqFQ0bNsTHx4eXXnopqaKK3CEgIP5m027/a4MRh/ncYNp1O0ZMjKXRJBWKjoaQEP7urTbtHJ31LmdPelkbTEQkhQoOhqgoiIyEsJ9WQOmpfLbpM6ZsnWJ1NEkDoqOhY0cT0/nXn0qmnbHvPKVFPEQk1Umygg/AzJkzKVGiBLVr16Z27dqULFmSr776KtE+e/bs4eLFiwDY7XZ27NhB48aNKVSoEG3btqVQoUKsX7+eTJkyJWVUkTvcfrPZImwIbAnhp/n+DBh8xepoksrs3Zt4tBiA02Gwf781eUREUoOAAAgKgo7VX2Bo0FCI8SIk2IOwH7ZZHU1c3IQplzHNxHOOOhzoui0iqU6SPgidNWtWZsyYcc99TPPv+VC8vLxYvnx5UkYSeSgBAfFfFSoPYO3mfhxeWYctOafjNL/GZiRpvVRcSLT7SiCI22vsdjsUKGBVIhGR1GXgcwOZOboke7Y1pnO7w1TffZiCvrmtjiUu6Hrsdb479R4wkoTFO0DXbRFJnfQXq8gD8HL3Ysl7IXi2bcKqM9/wyfpPrI4kqcT2E9vpurYxNOqIYXMA8TeNkyah5YVFRB6QYRhEhj9PxkKbcTZuzavzGnM15qrVscTFmKZJ+wXt2ef3IV4vDMJmj++Y1nVbRFIrFXxEHlAx32J8WncMAP1/6s/sn3be8ZiOyO1mLzhLvSmtuBJzheovH2T/nw4iI+MfFQwOtjqdiEjqksMnA79v9OPJp3ax7cQ22i1ol2ikuMh/cf06vDn3Y+bsnIObzY0lE2pwKMrQdVtEUjUVfEQeQkiZEJoUbULszz14rXZhRo2+YXUkSaF+Wn2dFq9k5NiY78jvXpnvX/2efIEeBAWph1BE5FEFZsnN3GZzcbe5893GNTR9Z77VkcQFOJ1Q/aVDjG7fHI4/w+f1PycoT9CteaR03RaR1EoFH5GHYBgGkxtOJktmd3C6Eb5sg9WRJAVymk6Gb+qPmeEE7n4HWNJxOk94PWF1LBERl1AldxVGVZoKkzfz/bDGDJiw3upIksot27GJTVuvwlVfmhcMJbi0hvOIiGtQwUfkIT3h9QQ/fPwCRtvn2V+1Ol9t/+r+B0ma0v/H/qy89inuoVVZ/H0WCj2Z3+pIIiIupUfNVpSocgiy7WXM/s78dvI3qyNJKhV1IYp2KxpgBlek4lsfMLNXiNWRREQeGxV8RB5B1cAqDGlfDYAuS7qw7+w+ixNJShATAx8sms2odaMA+KLlCGoVqWRxKhER17Rx7rNUe78v1zNvp9HXjTh99bTVkSSVOXP5Eg1mNeD0tdOUypOfiCG9tQqriLgUndFEHtGAqgN4LvA5rlyNpXLTLcyaHWd1JLGQacKLrY/S/9VaEPUcg6oNomXJllbHEhFxWV6ebnzfZir5n8jPoYuHqP9Zd/bujyEyEqKjrU4nKd3e/XHkynednWvy45/Jn4WvLSSDRwarY4mIPFYq+Ig8IrvNzsyXZ5L+t56cjmxOh44xXLhgdSqxytbDe1ix/hjcyMJzOeozqNogqyOJiLi8bOmzsaD5Arz+bMrmgVMpXNCdGjUgMBDCw61OJynZKz3Wc+OMH8aad5nX9Adyeue0OpKIyGOngo/IfxDgHcCXwypC4fncbNyEjWeWWx1JLHAx7iItFzfG0eY5inZ/i+VD38AwDKtjiYikCcV8i9GxcH9weALx516nE0JDNdJH7m78pvHsKF0dqg5j0oyTlM9VxupIIiJJQgUfkf+oSYlGdB39IxRcRpv5bdi655SGk6cR0dGwaGks7/36BX9e+JN8vv6sfr8f6dzSWR1NRCRNebFiKRKKPQkcDti/35o8knIt37+c7su6g93BB8Pd6BhUz+pIIiJJRgUfkcfgw1ofUsK3BKfWNKBMUR8NJ08DwsMhMNDk5cbp2T/sJ7x+e53FLRbzZIYnrY4mIpLmFCwINpuZaJvNZlKggEWBJMWJjoaW/ztLo47bcTgdtHumHW9VfsvqWCIiSUoFH5HHwMvdizGVvoOFYWDG/1ppOLnrio6GkBBwOhN6k23cnD+WjDeKWJpLRCStCgiAsDADuz2h6OPAacTw3dptVsaSFCKhk2ZWeDZiVr2F/7o5TGowSY9fi4jLU8FH5DExzhUC055om4aTu6Z9++ILerdzOg191iIiFgoOhqgog+URcfiU2A4OT/p+/iNbjm2xOppYKL6TxrytkwZOrmzKqeMeFqYSEUkeKviIPCZ3HU5u13ByV3P1Kqy6NAUMR6Ltdn3WIiKWCwiA2s+7sfeXohQOHkFMUB/qzqzL7jO7rY4mFvntj+uJij0ADoc6aUQkbVDBR+QxuWM4uRGHZ+M32B69h7g4a7PJ43H+PBQtc4qhIy9CgxAMW/wwH5vNyYQJDgICLA4oIiIAPJHJi03ju1I2Z1nOXDvD81/WYuv+I1bHkmS2+pcbtHtnw106aVAnjYikCSr4iDxGCcPJl0XcpNyHr3I90w4aVs9B6+ArmOb9j5eU7a3Pl3Nkjy9sb83rLQtwKMogIiKOsLAI2rfXBywikpJ4e3qztOVSCmd9iqMz36HCs7B932mrY0kyOXvxBrXrXef0purYiyzD9leHnN0OkyahThoRSRNU8BF5zAICoM7znizvEk4uz+KYNzPwwy+7OXrunNXR5D8I2xLGlJi60Lg97T+ZydhX+5Erl0G1aiY+PjesjiciInfhk96HbxpE4Ha4NnHn/Gk8ahQXblywOpYksRhHDG0Xv0JMwxbYCvzE0u+zcijKIDISoqLiO+hERNICFXxEksgTXk/wy6i+ZPtfG641r8JrPzTmeux1q2PJQ7p8GSZtmE7oolAAenXOSnjHHlrZQ0QklSiZ158VK0wytwnmUMBHNJjVgGux16yOJUkk1hFLs++asXjfYryKrubHFXZqFa1IQAAEBWlkj4ikLSr4iCShXJlzEflePzJnTMfaw2tpObclp0477n+gpAhXrkCZ507SqbUvxHryRvk3+Kj2Ryr2iIikMtVL5WX1Bz3J7JmZX478woszXuPS1RirY8lj9sfuOALL7WD+ljV42j1Z0HwB1fMGWR1LRMQyKviIJLESfiWY33w+HnYP5s3MRq48MWzcqPleUoOPFyxl386McKQizXO+zZi6Y1TsERFJpZ7O/jSLWywmXZwvEUN6UbTab+w/4CAyMn7pbknd4hwOqjY4zPFfS2MsG8fcZnOplb+W1bFERCylgo9IMgjKE8SXjWfArpeJuebFm6M3WR1J7uPrHV8z9EADaFmPl4Z/zsxOb6vYIyKSylXOXZkPnl4AR8tzbPtTFCxoUKMGBAZCeLjV6eRROU0noYtCOFe3Hka+H5k60Zt6BetZHUtExHIq+Igkk2YlmjIqLArqd2Zt0WeZvm261ZHkLq5fh7DVC2g1rxVO08n/XirEdz3fwmbodCki4gq6v/IsXYf+Bg5PMOPP7U4nhIZqpE9q5HSavL7kdaZum4rNdx9zfjhPu8oq9oiIgAo+IsmqT/XOvNXdGwwI/iGYpfuW8eefaDh5CrFvHxQvd47Ql4rhvOhHu2faManhJBV7RERcTJNnK4BpT7TN4YD9+y0KJA8tOhq++84k51NRTFyyGgODL1/8kqbFmlodTUQkxXCzOoBIWjPi+REcu3KMGdtm0eAFD5wHTMDAZoOwMC0VapXwcOgYYmI6swJPUDzqc6Z8WF/FHhERF1SwINhs8SN7/maS8YkbgJdFqeRBhYdDSIiJ02kAeeHEIiavjKRlyZZWRxMRSVH0l4xIMrMZNsIbhVMmtifOA9WB+HlhNJzcOtHR0DHEielMmKPHYNeChhw/Zr/ncSIikjoFBMR3sthvneZNyHCCTqte5Oy1s1ZGk/uIjr692BPPuBxIHd8OFqYSEUmZVPARsYCH3YMh1YaSUOxJoOHkyW/DRget31uI6Ux8OnQ4DH0WIiIuLDgYoqLiH6v++MudeHety5YLK6g8tTKHLhyyOp78i42b4xIVewBMp03XbBGRu1DBR8QiTxdLj82WeHl2m80kSxZr8qRFP666SuWqcayaXhUMR6Kf2e1QoIBFwUREJFkEBEBQEPRqXZx1vWcR4B3AnrN7KP1WP6YtUAUhpZn17RVefS0GSPQsnq7ZIiL/QgUfEYvEDyc3sNv/KvoYcTiz7qVOwyvs3m1ttrTg4PmDdP+tKk6/Ldjy/EKbfltvDe2322HSpPjPSERE0oZivsVYH7ye/DEvcW7aFNq/EsCEeVusjiV/2X9uP13GLsR5Mz2G/3Zstviij67ZIiL/TgUfEQvFDyc3WLLiOlWH9gOHG6dOOfl8w1RM07z/C8hDu3kT1hxaQ/kp5fnj/K/4hrZn7YonmT683K2h/VFRmjxbRCQtCvAOYHWvcLIW+xUCV9NjezW+3fmt1bHSvJ8P/UyFKRW4WL0NmV98l00bbBw6ZNM1W0TkPrRKl4jFAgIgIMCL2jVH0rnAu0yOWMWnh9ZxbdEGxtcbj7vd3eqILuPQIahS6yzHinyNs8wZSucozYLmCwjwju8WjP8sLA4pIiKWypntCaLWlaHlNx1YGHWVZt8148SVE7xevhuGcf/j5fG5cAF6j97I117PE2fGUjZXWX7o05kcmXIAumaLiNyPRviIpBB2m52w5sMYG9Icm2Fj8tbJVP8khPdG3ECDff47h9NBm2ELiN6XDefq/ryUvyVr2q+5VewRERFJkMnLi3mtZ9C5bGdMTN4YdICSdbby558mkZFaUTM53IyBp8qd46sPKhC3vhNNijZhdbvVt4o9IiJyfxrhI5LCdKvQjTxZ8tDs6/b8MmIAv5xLx5UbFxg5JIvV0VKtizcu0vz75vzsvwyeG0KPLpkY/epXGOqqFRGRf2G32Rlfbzzprxbl46Gh/O70IH8BJ5gGNlv8su56lChpXI+9zqfHRnGmcAU435MOLxVgctMx2Az1VYuIPAydNUVSoIaFG7ImZDne1cLhif1MM55jyzFNHPkwoqPhxx+h39DTVJhciWX7l+Hl7sU3E4rySbOeKvaIiMh9GYbBR692o/276wEnmPG3zk4nhIZqpE9SiL5wgudnPs+6C+twqzyO8YvWEB7yhoo9IiKPQGdOkRSqjH8ZdnzRhacGN+OUsYPnpj3Hwj0LOXAADSe/j/BwCAyEWrVg5KAn2fPpx+TMlJM17dfQtFhTq+OJiEgq0/q5avzzttnhgH37rMnjig4fhgZNz1GgdBSbj/xKJnsmlrVYSpeqLayOJiKSaqngI5KC5c6cm3UhK6mVrxbXYq/RqMMeChQwqVEjvqARHm51wpQnOhpCQkyczts2/lmbBfW2UMa/jGW5REQk9SpYEGx3uWvuNmIzN+NuJn8gFxMeDnnymiz+Lis3Dz5L5lVfMLLQSJ4LfM7qaCIiqZoKPiIpXOZ0mVncYjHNA/rAut5A/KNIGk5+p6go+GzGfpzOfzyuZdq4fMLPkkwiIpL6BQTEz9ljt/+1wXCCEcdOv4FUmFKBnad2WpovNdsfdYOOIU7M267dV9a1xONyPgtTiYi4BhV8RFIBd7s7HfOOJKHYk8DhgL17rcmU0sxddJmCRW4yapQJhiPRz+x2KFDAomAiIuISgoPjOxYiI+HIYRtTVv6ET8mtbD+5nTJhZeg/+0uuXHXe93Uk3oUL0KjFCar0G47p/OfjcgbHj2ewJpiIiAtRwUcklShUyLhzOLkRR/v+vxLc6ToXLliRynqmaTJrxyxCfy1NnNt58D5KuXbfYrfHr2Vvt8OkSfG9syIiIv9FQAAEBcX/b3BQHXZ03sELBV7g5lVPPggNwq/gUdb8esLqmCnepZuXqPzaGhZ+nZ2TK5vepaPGJEeOqxalExFxHSr4iKQS/xxObtgc8Nx7HN5UiqlhHoxe8j1OM+30LJ47Bx9NPEmdGXVoObclZ5z7yd+nNatW2dg0tTlRUQaRkfG9sVo2V0REkkL2jNlZ3GIx/YqHgenGtRsxNFpYnu/++M7qaCnWkn1LKD6hOH8UfwUC1lG/5xI+HX/j1v2N3Q4TJjjw8blhbVARERfgZnUAEXlwwcFQpw7s3w8FCtiJctaizej/cXBXZt7bN5oV4RWYUH8ChTKVJmNGq9M+XtHR8auhFCwI7uluUqBwLFfO+UH766TLn46BVQfSp3IfPOweQHyBTKN6REQkqRmGwYiWzWhcfi8dZr7NLvMITb9tStun2zKo3Ge4m5luXb/S6nXJNGH85MtMWbWU7YWbAZAvVz7CVl+nZr6+ALzcMOH+Bvz8TJYssTKxiIhr0AgfkVTm9uHkVXJXYe/ozxk9OICMHhnZeHQjZT+pj2/AZbr3vsENF+kcS1hmPX51MpNnur/HlTxfg88flM9dmt87/87bz719q9gjIiKS3J4tWIht78xkQJUB2Awb0785S75AD3LnTtura5qmydAZEXQLzcT22U0wTj5D74q92dF5BzXz1by13+33NyIi8nhohI9IKudmc6NnxZ40K96M3it6M3uKL9cvZmLCN9sp0+p3Wj/TgqNHjVTbuxi/zDq3lll3Og1OfD2YrL2rMeY1b1qVGoNhGPd+ERERkWTgYfdgWM1hvFDwBWq9cIMbDk/Mv36WsLpmnTqp71r8sBJG5WbwO8bQbSEs/nMxlJpC9sBLzO0bRsXAclZHFBFJEzTCR8RF+Gfy5+smX/Pj+EbkDOlMXL0OtP2hFUWCPyQwMHX2Lpqmybxffr9V7Pn7B25Mr7Wc1qWbqdgjIiIpTpXcVZjzUcU7tjsc8OG4M3de11xI/Kjc+PuOCsX9WDzHDw+7B0M/Ocah77qq2CMikoxU8BFxMTXz1eTPCZ8yvNUrpLtagL3TeuN0xhdF4nsXTaKjLQ55D3v3Qo83rzNy5XiKTyzOGxvrAonvjO12eOYpF5ukSEREXErpEhnuXF0TJ2NH+lDspcX8cfoPK2IlqX0Hr9MxxHnrvgPTDovCWNpwB+9Ue0ePXouIJDMVfERckIfdg/5V+zO16pr4m63bOBwG3WZ8ytqo9UycaHLypDUZo6MhMpJbxSfTNIk8uIqyQcf59GMv+n26hT9O/4FXtnNU6joNm5ZZFxGRVOSfq2va7Ca+pTdDuvPsztmX4hOK8+q3r7Lx4A5iYqzN+l+cOwdDPzxH3+UDKPNBc0znP/68cNqxnS9kTTgRkTROc/iIuLCqpbJjs5F46LgRx/xTHzJ/UCH4ciVvDrjCLzsP8ox/iVu73L4iVlIUVsLD/56XxzBMXn5rOTsCurP37F4o3hsyBlGgoEGvehNoUaIFmdNlJrrf36t3qNgjIiKpQeLVNQ0CAiqw/s9tfPR/hZm7ayff/vEt345/Cq+dfgwadpm+IfmT/Br8uJimyeqoNdQr9xTXz/pAsz/AfwsYjkSdTXZ7/LVbRESSnwo+Ii4soXcxNDR+3gC73eT1obs4V7QG3y46z42cG7mWfRulJnei2JPFeK34a/w0rAerIjJgmmCzxR8fHHzv97nfzWlcHBw8CJcuga+v+VexJ364t2kafD+qFvS4SsYnM/La65cJKZudMjmmJJqfR8usi4hIavTP61fFfM/wfb7v2XFyB++vHs4345ty/Ywv/X7syozNlfljanecTuOBr8HJIeE6ny8f7D94k0OZZzJ241i2n9wORYfDvhd4OqAIQ/7XnlNFDTp3Trjv0KhcERErqeAj4uLu7F0sAXzJ5w2usXjvYmZuj2Dpnx7sPL2TgV8ugBVv3zrW6YSQECdb9h7j5KEnaNvSk0YN408bcXHxN38REdCzZ/y+NhsMHBh/Q1i+4k2cWfaz+8xuFiyK5au+zfHKuQ/q9sDpXJw4pGnnzSKTGNSuGhk9NDePiIi4vhJ+JZjz6tf0r7iHrqPCWO++md/HzAbz73n3OoaYVKt5kwJ50lmW8/ZRuWACntDlY/D9Ay83L1r0jKZ7ZTdK+H0Qf0AReOEFjcoVEUkJkrTgM2zYMBYvXsy2bdvw8PDgwoUL9z3GNE2GDBlCWFgY58+fp0KFCowfP55ixYolZVQRl3a30THp3dPTtFhTmhZryoUbF5i3ax6fTD3Cjn8c63TamPjNXoiqwdyL3fHZPYvsGbOT5UYJ1vaaRfzN3983p0OHxn9vNOqGWXpy/IucywdujbhunAHv7Xcd7t29Xn0yai5HERFJY57JVZhfPivMjAX1af1J4nn3TKfBU+81IigIqvjV5ezaprRq5E/ZMnYSBsE+yiNg9zvm3DmY9MVl1m87w6JZgbfNy2MAJk+caUD/Fu0ILh1MVq+sdxyvUbkiIilDkhZ8YmJiaNq0KRUrViT8AdeCHjVqFKNHj2batGkUKlSI999/n1q1arFnzx4yZcqUlHFF0qws6bLQvlR7avWFwAnm36trANgcZKk0l0uFluEMXM2Za2c4c+0MnDDA/TLE/vP30oDsWzDTncHb05siPkUoXLIIhV4ew1O+RSjis4Kfizh5vYtdw71FRET+ElQm513m3XMQm/kPIv48SsRyG8zsxbhxh3jx817UzFuT8+te5t1efg/1CNjtI3ZsNhg6FLwyX8b0+YMb/j+y5fgWNvwRzfGhm4D03LnGi8G3ocOpWdl+l1cXEZGUJEkLPkOGDAFg2rRpD7S/aZqMGTOGt99+m5dffhmA6dOn4+fnx6xZswgNDU2qqCJCwpw/xm1z/sCkSXaCg8fhNJ2cu/4WJ66cuPW1u85Mhr8cgmn+fTNoszn5+vubVC0xnuwZsyeahyfBUyHQoJ6Ge4uIiCS4c949+PxzG5Uar+DHP3/kG+dxNhZeRlyW3czdNZe5GzbCmNB/PALmYKPnME7vLsT/zatCkQqHaBS6lXRu6Ujnlo6pg6uwan4ebh+ZO3CgE8gEZbdCg4HxYQygxEyyZIvhwuq2cNt13m6HwoVU7BERSQ1S1Bw+Bw8e5MSJE9SuXfvWNk9PT6pVq8a6devuWvC5efMmN2/evPX9pUuXAIiNjSU2NjbpQ0uKkvCZ67N/dG3aQI0acOCAQf78JgEBkPB/Z2b3zGR+IjOFnygcv6Eo5P7cSZcuBg6Hgd1uMmGCk5fKlQMgLi7uX9/Hzy/+C/5+/dRIbU6Sm9qcJDe1ueRzt2swFKRg6YJ0Lg1xA+LYcjwjK6OGMHfpebab/3wEzM7kH1fC8YvwR3Oi3SL5cdkbf++w5AIJxZ6/2SDHZp7Me4IaTzWjTI4ylMlRhmfefIZMnpn44ot/Xucd+PmZSXrtVpuT5KY2J8ntv7S5hznGME3TfOh3eEjTpk2jR48e953DZ926dVSuXJmjR4/i7+9/a3tISAiHDh1i+fLldxwzePDgWyOJbjdr1izSp0//n7OLyP2dOZOO48czkCPHVXx8blgdR0RExOWdOZOOjh1rY5p/F3AMm4M673XiZgycP5YTe6aTpMu9g1hnLDFmDEdXtOf08te5/TEtw+bk088XkNv3n49uJX4vXedFRFKGa9eu0aJFCy5evIi3t/c9933oET7/VmC53ebNmylbtuzDvvQt/3wExDTNuz4WAtC/f3969ep16/tLly6RK1cuateufd9/vLie2NhYIiIiqFWrFu7u7lbHkTRAbU6Sm9qcJDe1uZTL4XDQpYv9ttE3Ju3bT/j3A7pxlxE7Ttq3a5B8oR+A2pwkN7U5SW7/pc0lPNX0IB664PP666/TvHnze+6TJ0+eh31ZALJnzw7AiRMnyJEjx63tp06dwi/h2Y9/8PT0xNPT847t7u7u+mVNw/T5S3JTm5PkpjYnyU1tLuUJCYF6t+bEMwgIuP+t/aMcYxW1OUluanOS3B6lzT3M/g99hvfx8cHHx+dhD3sgefPmJXv27ERERFCqVCkgfqWv1atXM3LkyCR5TxERERGR1OpRlkDXsukiImnDvz+s+xgcPnyYbdu2cfjwYRwOB9u2bWPbtm1cuXLl1j5FihRh3rx5QPyjXD169GD48OHMmzeP33//nXbt2pE+fXpatGiRlFFFRERERERERFxGko7hfPfdd5k+ffqt7xNG7URGRhIUFATAnj17uHjx4q193nrrLa5fv06XLl04f/48FSpUYMWKFWTKlCkpo4qIiIiIiIiIuIwkLfhMmzaNadOm3XOffy4SZhgGgwcPZvDgwUkXTERERERERETEhSXpI10iIiIiIiIiIpL8VPAREREREREREXExKviIiIiIiIiIiLgYFXxERERERERERFyMCj4iIiIiIiIiIi5GBR8RERERERERERejgo+IiIiIiIiIiItRwUdERERERERExMWo4CMiIiIiIiIi4mLcrA7wuJmmCcClS5csTiJWiI2N5dq1a1y6dAl3d3er40gaoDYnyU1tTpKb2pwkN7U5SW5qc5Lc/kubS6h1JNQ+7sXlCj6XL18GIFeuXBYnERERERERERF5/C5fvkzmzJnvuY9hPkhZKBVxOp0cO3aMTJkyYRiG1XEkmV26dIlcuXJx5MgRvL29rY4jaYDanCQ3tTlJbmpzktzU5iS5qc1Jcvsvbc40TS5fvoy/vz82271n6XG5ET42m42AgACrY4jFvL29dbKWZKU2J8lNbU6Sm9qcJDe1OUluanOS3B61zd1vZE8CTdosIiIiIiIiIuJiVPAREREREREREXExKviIS/H09GTQoEF4enpaHUXSCLU5SW5qc5Lc1OYkuanNSXJTm5PkllxtzuUmbRYRERERERERSes0wkdERERERERExMWo4CMiIiIiIiIi4mJU8BERERERERERcTEq+IiIiIiIiIiIuBgVfMQljBgxgnLlypEpUyZ8fX158cUX2bNnj9WxJA0ZMWIEhmHQo0cPq6OICzt69CitWrUiW7ZspE+fnmeeeYYtW7ZYHUtcVFxcHAMHDiRv3rx4eXmRL18+hg4ditPptDqauIiff/6Zhg0b4u/vj2EYzJ8/P9HPTdNk8ODB+Pv74+XlRVBQEDt37rQmrLiEe7W52NhY+vbtS4kSJciQIQP+/v60adOGY8eOWRdYUr37neduFxoaimEYjBkz5rG9vwo+4hJWr15N165d2bBhAxEREcTFxVG7dm2uXr1qdTRJAzZv3kxYWBglS5a0Ooq4sPPnz1O5cmXc3d1ZunQpf/zxBx9//DFZsmSxOpq4qJEjR/L5558zbtw4du3axahRo/jwww/57LPPrI4mLuLq1as8/fTTjBs37q4/HzVqFKNHj2bcuHFs3ryZ7NmzU6tWLS5fvpzMScVV3KvNXbt2ja1bt/LOO++wdetW5s6dy969e2nUqJEFScVV3O88l2D+/Pls3LgRf3//x/r+WpZdXNLp06fx9fVl9erVPPfcc1bHERd25coVSpcuzYQJE3j//fd55plnHmtVXiRBv379+OWXX1izZo3VUSSNaNCgAX5+foSHh9/a1qRJE9KnT89XX31lYTJxRYZhMG/ePF588UUgfnSPv78/PXr0oG/fvgDcvHkTPz8/Ro4cSWhoqIVpxRX8s83dzebNmylfvjyHDh0id+7cyRdOXNK/tbmjR49SoUIFli9fTv369enRo8dje2pAI3zEJV28eBGArFmzWpxEXF3Xrl2pX78+zz//vNVRxMX98MMPlC1blqZNm+Lr60upUqWYPHmy1bHEhVWpUoWffvqJvXv3ArB9+3bWrl1LvXr1LE4macHBgwc5ceIEtWvXvrXN09OTatWqsW7dOguTSVpy8eJFDMPQaFpJMk6nk9atW9OnTx+KFSv22F/f7bG/oojFTNOkV69eVKlSheLFi1sdR1zY7Nmz2bp1K5s3b7Y6iqQBf/75JxMnTqRXr14MGDCATZs28cYbb+Dp6UmbNm2sjicuqG/fvly8eJEiRYpgt9txOBwMGzaM1157zepokgacOHECAD8/v0Tb/fz8OHTokBWRJI25ceMG/fr1o0WLFnh7e1sdR1zUyJEjcXNz44033kiS11fBR1zO66+/zm+//cbatWutjiIu7MiRI3Tv3p0VK1aQLl06q+NIGuB0OilbtizDhw8HoFSpUuzcuZOJEyeq4CNJYs6cOcyYMYNZs2ZRrFgxtm3bRo8ePfD396dt27ZWx5M0wjCMRN+bpnnHNpHHLTY2lubNm+N0OpkwYYLVccRFbdmyhU8//ZStW7cm2XlNj3SJS+nWrRs//PADkZGRBAQEWB1HXNiWLVs4deoUZcqUwc3NDTc3N1avXs3YsWNxc3PD4XBYHVFcTI4cOXjqqacSbStatCiHDx+2KJG4uj59+tCvXz+aN29OiRIlaN26NT179mTEiBFWR5M0IHv27MDfI30SnDp16o5RPyKPU2xsLK+++ioHDx4kIiJCo3skyaxZs4ZTp06RO3fuW39PHDp0iN69e5MnT57H8h4a4SMuwTRNunXrxrx581i1ahV58+a1OpK4uJo1a7Jjx45E29q3b0+RIkXo27cvdrvdomTiqipXrsyePXsSbdu7dy+BgYEWJRJXd+3aNWy2xH2Ddrtdy7JLssibNy/Zs2cnIiKCUqVKARATE8Pq1asZOXKkxenEVSUUe/bt20dkZCTZsmWzOpK4sNatW98xD2idOnVo3bo17du3fyzvoYKPuISuXbsya9YsFixYQKZMmW71BmXOnBkvLy+L04krypQp0x1zRGXIkIFs2bJp7ihJEj179qRSpUoMHz6cV199lU2bNhEWFkZYWJjV0cRFNWzYkGHDhpE7d26KFSvGr7/+yujRo+nQoYPV0cRFXLlyhf3799/6/uDBg2zbto2sWbOSO3duevTowfDhwylYsCAFCxZk+PDhpE+fnhYtWliYWlKze7U5f39/XnnlFbZu3cqiRYtwOBy3/qbImjUrHh4eVsWWVOx+57l/FhXd3d3Jnj07hQsXfizvr2XZxSX82zOPX3zxBe3atUveMJJmBQUFaVl2SVKLFi2if//+7Nu3j7x589KrVy86duxodSxxUZcvX+add95h3rx5nDp1Cn9/f1577TXeffdd/eEjj8WqVauoXr36Hdvbtm3LtGnTME2TIUOGMGnSJM6fP0+FChUYP368Olbkkd2rzQ0ePPhfnxKIjIwkKCgoidOJK7rfee6f8uTJ81iXZVfBR0RERERERETExWjSZhERERERERERF6OCj4iIiIiIiIiIi1HBR0RERERERETExajgIyIiIiIiIiLiYlTwERERERERERFxMSr4iIiIiIiIiIi4GBV8RERERERERERcjAo+IiIiIiIiIiIuRgUfEREREREREREXo4KPiIiIiIiIiIiLUcFHRERERERERMTFqOAjIiIiIiIiIuJi/h/FWzEewWpmkAAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 1400x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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Wc6TGgqsVpqm+bWM0oEOsNUGhTsyZBwDAAida+T0Q9EpprmO2AJZUOTrhr//bWuvKwwCAptclMapGmb8sFuePSOYBADiDvs8pkPTLyu/HCqQbppoLEkkJ0WHavK9Ab63caW1wABBA8o6WqsRVIanyt/nPo7p7rk/+tFicP2KYPQAAZ4DbbeqB9zbqP2v2aO6t/XVhpzjNGN1TUxdsVoVpBuQN0/ELEpmm9Gz6D7p/ZFerQwOAgPDZ1v26/z8bdX2f1pp6eTdJ0i0Xpuqynol+t1icPyKZBwDgDLDZDIUH22UY0pZ9Tl3YKc5vV9dtiOMXJPrbDedUe/+R9zepVfMIjTo7Ubvziz2r/gMATp9pSocKy/TVj3kqLa/wbB/qj4vF+SOSeQAAmkC2s1jfZxeoTUykOsY3kyRNubyrrundSn3atvDU44apbut3H9bcVVmSpKc++Z4t7ADgNGU7i7VlX4HOSo5WkiNcl3ZP0Au/PldDu8V7Enn4DpJ5AAAa2fyMrGor1T95XWXyGRESVC2Rx4md09qhhy/vqumLvq911X8eggBA/b25Yqf+/OEWSdUfjF7eM8niyHCqWAAPAIBGVLVH77Er1U9ZsEnZzmLrgvJRhmHorFYOHbfovypMUztY8R4A6i3bWaxpH23xvK56MMq1ybeRzAMA0Igy8wpr7NHrNhUwW841ttpW/ZekeRlZZz4YAPBRtV2bAmk7VH9FMg8AQCM4WlquhxduUouIkIDecq6xHb+Fnc2QIkPsumNwR4sjAwDv9+GGfcrYeSjgt0P1V8yZBwCgEUyat16fbt2vrENFAb/lXGM7ftX/6LBgRYb+cgtTWFpe7TUAQPrfxmzd8691iokM0aJ7LuLa5Ie48gEA0AgeHNlFP+Ud1R+Hd9E5bZoH/JZzja2uVf93HyrSdS+u0N2XdFTagHZnPjAA8FIXd22pnq0cGtAhVi2jQtkO1Q+RzAMAcIryC8vUIjJEktQpIUrp9w2W/edxjGw5d2a8u2aPco+Uav63uzW2X4pCgphBCCBwFZWVKyKkMsWLCAnSu3cMUFjwL1vOcW3yL1zxAABoINM0NfvzHzXk6S+0/ZhV1e21rdSGJnXfpZ306JXd9epv+3oS+WxnsVbsyGOVZgABZcs+py79+zItXLfHU3ZsIg//Q888AAD1lO0sVmZeoVo3D9fSbQfkLHZpyXc56hjPYmxWMQxDN1+Q6nk9PyNLD723Saaq76MMAP6q6tqUvmW/9jlL9PKyn3Tl2ckKstNv6+9I5gEAqIf5GVmasmCT3GZlkvjw5d30q/NSdH2f1laHhp9lO4v10IJNnn3pq/ZRHtS5JcNKAfil469NI7on6KnrzyGRDxD8lQEAOIlsZ7HnZkmqTBKnL/peF3SMtTYwVJOZVyiTfZQBBIh9h4v00HHXpk+35qrIVW5tYDhjSOYBADiJjXucnpulKiSJ3od9lAEEkqcWb+MBZoAjmQcA4CTOSo6uUUaS6H2SHOGaMbqn7EZlRl+1j/L/Nmbrqx/zLI4OABpXl0SuTYGOOfMAAJxE6xYRmjG6px5eWDmcsSpJZB629zl+H+UNu5168L1NCgmyKf2+QWobG2l1iADQKH4/pIPKyiv03GfbVWGaXJsCEMk8AAC1yHYW65PNObrp55XSf3VeioZ0+SVJ5GbJex27j3JMZIiGdU9Q96RoEnkAPs00Tc1dnaUb+rT2bDl376WdNaZfG65NAarJh9m/8MILSk1NVVhYmPr06aPly5efsP6yZcvUp08fhYWFqX379nrppZdq1HnvvffUvXt3hYaGqnv37lq4cGG192fMmKF+/fopKipK8fHxuuaaa7Rt27ZG/V4AAP9VWFqusS+v0rSPvtNrX2d6ypMc4RrQIZabJR8SGmTXS7/po0mXdrI6FAA4LX/931b96f3NumPuGpnHTJbn2hS4mjSZnz9/viZNmqSHH35Y69at00UXXaTLLrtMWVlZtdbPzMzU5Zdfrosuukjr1q3T1KlTdc899+i9997z1Fm5cqXGjh2rtLQ0bdiwQWlpaRozZoxWr17tqbNs2TLdeeedWrVqldLT01VeXq7hw4ersLCwKb8uAMBPRIYG6TfnpyglJkLDz0q0OhycJrvNkPHzPPoKt6k//HuD3l+31+KoAKBhhnVPUGSIXVf0TPL8piGwNekw+2eeeUa33nqrbrvtNknSzJkz9cknn+jFF1/UjBkzatR/6aWXlJKSopkzZ0qSunXrpm+//VZPP/20rrvuOs85hg0bpilTpkiSpkyZomXLlmnmzJn617/+JUlavHhxtfO+9tprio+P15o1azRo0KCm+roAAD9y+6AO+nX/tooMZUaaP1mwdo/eW7tHH23cp/ZxkTpaVq7UuEh6tAB4vf7tY/XlAxcrtlmo1aHASzTZHUpZWZnWrFmjhx56qFr58OHDtWLFilqPWblypYYPH16tbMSIEZozZ45cLpeCg4O1cuVK3XfffTXqVD0AqI3T6ZQkxcTE1FmntLRUpaWlntcFBQWSJJfLJZfLVedx8C5Vfyv+ZjgW7QJ1qWoTuw8e0bo9R/T1jkN6/OruCrZXDlwLsdFu/M1VPRO0YXcbud2mrnnha7lNyWZIj1/dXTf0aS2J3wzUjbaBujR228h2luinvEKlf5er3w9OVUJ0mCQpOtRG+/Mhp9IuGlK3yZL5vLw8VVRUKCEhoVp5QkKCcnJyaj0mJyen1vrl5eXKy8tTUlJSnXXqOqdpmpo8ebIuvPBC9ejRo854Z8yYoccee6xG+ZIlSxQRwfYOviY9Pd3qEOCFaBeozcr9hibNXCFTlUMWt/y0RxO7uy2OCk2pk0uattbu+Zu7Tenh97fIlbVRzY/p8OI3A3WhbaAujdE2Vu43NP8nm+c36r/rsvRonwrZGVnvsxrSLoqKiupdt8nHDh4/n8M0zRPO8ait/vHlDTnnXXfdpY0bN+qrr746YZxTpkzR5MmTPa8LCgrUpk0bDR8+XNHRNfdwhHdyuVxKT0/XsGHDFBwcbHU48BK0C9Rl98Ej1RJ5SfqxwKbeFwxRkiPMwsjQlFb9dEjm2m+rlZky1KHX+eqfGsNvBupE20BdGqttZDtLdN/fv5R5TNmRckN9L7yE65IPOpV2UTVCvD6aLJmPi4uT3W6v0WOem5tbo2e9SmJiYq31g4KCFBsbe8I6tZ3z7rvv1ocffqgvv/xSrVu3PmG8oaGhCg2tOf8kODiYH2sfxN8NtaFd4Hh7na5qibxU2Uu711mmlLgoi6JCU+uYGC2bUfm3PlZyi8hqvxH8ZqAutA3U5XTbxh6ns8ZvE9cl39eQdtGQ9tNkq9mHhISoT58+NYYUpKena+DAgbUeM2DAgBr1lyxZor59+3q+VF11jj2naZq66667tGDBAn3++edKTU1tjK8EAPAjRWXlWrBurwxVv2uyG4baxTG9yp8lOcI1Y3RP2X8e1WdImjS0k9q3bGZtYAAC3ppd+Tp+wDHXJdSlSYfZT548WWlpaerbt68GDBigV155RVlZWbrjjjskVQ5t37t3r958801J0h133KHZs2dr8uTJGj9+vFauXKk5c+Z4VqmXpHvvvVeDBg3Sk08+qauvvloffPCBPv3002rD6O+880698847+uCDDxQVFeXpyXc4HAoPZ7VaAIA0ZcEmfbA+W3Gh0qGyyp4Pu2Fo+ugerGweAMb2S9Ggzi21M69I7eIi+JsDsNzizdn6+5IfFBpkk6vCzXUJJ9WkyfzYsWN18OBB/eUvf1F2drZ69OihRYsWqW3btpKk7OzsanvOp6amatGiRbrvvvv0/PPPKzk5Wc8995xnWzpJGjhwoObNm6dHHnlEf/rTn9ShQwfNnz9f/fv399R58cUXJUlDhgypFs9rr72mm266qem+MADAZ9x5cUdt3H1YVycVaPTIS7TXWUZSF2CSHOE1/t4/HTiqB9/bqFF1b4ADAE1iYMc4nd8+Rue0aa6bBrbjYSNOqskXwJs4caImTpxY63uvv/56jbLBgwdr7dq1Jzzn9ddfr+uvv77O96sWzQMAoC6dE6K06O6BWvLJYiU5wpiLCJmmqYfe26SMnfkqcdo0zuqAAASU6LBgvXHLeQqx22QYBkk8TqrJ5swDAOBt/rNmj7bnHvW8DrJzGcQvDMPQM2PP0dCuLTW2A9sTAmh6P+w/osWbf1ncOzTIfsKdv4BjcRcDAAgIn363X/f/Z4Ouf2mF9h0utjoceKnWLSL00q97K4qFygE0sdyCEv12zjea+Paaagk9UF8k8wCAgHBu2xY6u3VzXXl2Mnv1ot6++jFPUxZslPv4vaIA4DTFRIbo4q7x6tCymc5vz0IdaLgmnzMPAIA3iIkM0bzx5yskyMYQRtTLocIy3f7Wtyoqq1CrFhE6N6W5UuMimccKoFEE2W2afm0PFZSUyxHOcCA0HMk8AMAvZTuLlZF5SKakq3u1kiSFh9itDQo+JSYyRNOv7ak5X2fqmSXb5DYlmyHNGN1TY/ulWB0eAB+UdahQ/87YrXH9U5TcPEKGYZDI45SRzAMA/M78jCxNWbBJVSOj1+zM11+u6WFtUPBJ/dvHaPK/13vaktuUpi7YrEGdW9JDD6BB5n2TpYcWbJIkPb90h564jgeDOD3MmQcA+JVsZ3G1RF6S5q7epWwni96h4TLzCnX8dPkK09TOvCJrAgLgk7KdxZq6cJPntanKB4Ncm3A6SOYBAH6ltuTLbYrkC6ckNS5StlqWWGgWxpQNAPXHg0E0BZJ5AIBfcbtVI/myG4baxUVYExB8WpIjXDNG95T9mEUTh3VLUI9kh4VRAfAlmXmFat0inGsTGh1z5gEAfiP9u/26/a1vdWGHOK3YkacKs/JmafroHsxvxikb2y9Fgzq31M68IiU3D1Pb2EirQwLgI/bkF+mGl1aoc0KU/jSqux7/71ZVmCbXJjQKknkAgN/4MfeITFNqGxehp264RDvzitQuLoKbJZy2JEd4jXZU4TaV/t1+jeyRaFFUALzdroNFKiqrUH6RS2P6ttHIHolcm9BoSOYBAH5j4pCOOrtVc/VvH6Ngu40bJTQZt9vU7+eu0ZLv9uuxq87S7wa2szokAF7ogo5x+s8dA+WICFZkaJAiQ4O4NqHRMGceAODTXBVuuY9ZVejCTnEKtnN5Q9Oy2Qyd27aFQoJsahEZYnU4ALxMiavC87+7J0erVXMSeDQ+7nYAAD7LNE09vHCTJsxdo8LScqvDQYCZMKi9Ppk0SFedk2x1KAC8yPyMLF3x3HLtzCu0OhT4OZJ5AIDP2nGgUO+v36fPtu7Xhj2HrQ4HAcYwDKXG/bIYXmFpuQ4VllkYEQCrlZa79fzSHdpxoFD/25RtdTjwc8yZBwD4rI7xzTTv9vP1ffYRDewQZ3U4CGDZzmLd+vq3Cg+x6+83nKN9zmKlxkUyNxYIMKFBNv3njgF655ssTRzSwepw4OdI5gEAPu3clBY6N6WF1WEgwBWWVmh3fpFM09Qlf/9CblOyGdKM0T01tl+K1eEBaELZzmJtzynQ4dLK1/HRYZp0aWdrg0JAYJg9AMCnbMsp0NiXV2rD7nyrQwE8OsY301PXna2isgpVrcfoNqWpCzYr21lsbXAAmsz8jCxd8MTnSnvtW01ba9e7a/ZYHRICCMk8AMBnzM/I0oiZy7U685Cufn6F5n2TZXVIgIcjIljHbKwgSaowTe3MK7ImIABNKttZrCkLNnn+3Zsy9MgH3/EAD2cMyTwAwCdU3TQd6+GF9HrCe6TGRcpmVC+zGVK7uAhrAgLQpDLzCms8wHOb4gEezhiSeQCAT6jtpoleT3iTJEe4ZozuKbvxS0bfNTGaRfAAP8UDPFiNBfAAAF7v+5wClZebshmqltDbDYObJniVsf1SNKhzS63ffVgfb8rW49f2tDokAE3gwJFSrcs6rBmje2rqgs2qME0ZMvX41WfxAA9nDMk8AMCrOYtcuv3NNco9UqJbLkjVa1/vVIVpym4Ymj66BzdN8DpJjnAlOcJ1WY8kq0MB0ARcFW5NfHuNMnbm65Eruumrhy7Wjv0F2rF+lW7o09rq8BBASOYBAF4vNS5SpkzddUlH3XpRqnbmFaldXASJPHzGJ1tyFGw3dEnXBKtDAXCabIahfu1i9H3OEV3cNV5JjnDFRQTp4FarI0OgIZkHAHg1R0Sw/nlTP+UeKVHziBA1l0ji4VOWfp+rCW+tUVRokP53z0VKiWVqCODL7DZDD4zsqpsvSFXLqFCrw0EAI5kHAHglZ7FLjvBgSZU3TiTw8FUXdIxTv3YtdFayQ0nNw6wOB8ApynGWKCE6VMbPi1ySyMNqrGYPAPA6uw4WavDflmr25z/KffwS9oCPCQmy6a1b+2vaVWcp2M6tF+CLDhwp1TXPf62Jb6/V0dJyq8MBJJHMAwC80H83ZutwkUuff5+rcpJ5+IGwYLvnf5umqXVZ+RZGA6ChNuw+rIOFpdq2/4hMk+sSvAPD7AEAXufOizsqITpMF3WKU0gQz53hPyrcpu5/d4MWrNurJ687W21iwpUaF8k0EsDLXdo9QfNuHyBHeLCiwoKtDgeQRDIPAPBS17O9D/yQ3WYoKixIhiE99N5GmZJshjRjdE+N7ZdidXgAjpHtLFbmgUKltqx84NanbQurQwKqobsDAGC5bGexXvs6U/fNW6fS8gqrwwGa1K0XpUqSqgbquk1p6oLNynYWWxcUgGrmZ2Rp4BOfa9w/VuuCJz7X/Iwsq0MCaqBnHgBgqfkZWZqyYJOqpsYXlJZrzu/6WRsU0IT25Bfr+Cm3FaapnXlFDLcHvEC2s1hTFmzy/DuteuA2qHNL/o3Cq9AzDwCwTNUN07Fr3C39PpceSvi11LhI2YzqZYakdnHsPw94g8y8Qh2/9mrVAzfAm5DMAwAsU9sNk9sUN0zwa0mOcM0Y3VN245eMPiTIpvBjVrwHYJ3aHrjZDYMHbvA6DLMHAFimoNglm6FqCT03TAgEY/ulaFDnltqZV6j07/ZrXP8UNY8IsTosIOB9sS1XiY4wzRjdU1MXbFaFacpuGJo+ugdD7OF1SOYBAJbYmVeo+9/dKEd4sJzFLrlNccOEgJLkCFeSI1wDOsRZHQoAST8dOKq73lmncrdb/54wQF89dLF25hWpXVwE1yV4JZJ5AIAlil0VahEZooToUP19zDnam1/CDRMC3o4DR/XJlhxNHNLR6lCAgNM8IkS9U5qr1OVWt6RoBdttXJPg1UjmAQCW6JYUrY/uvlCl5RWKjwpTSkyk1SEBljpUWKZrnv9aR0rK1ap5uK7u1crqkICAEhMZotdvPk9HS8sVbGdpMXg/WikA4IwqK3d7/rcjPFjxUWEWRgN4j5jIEN1yQarOS43RgA6xVocDBIz9BSWe/223GXKEB1sYDVB/JPMAgDPm+5wCDf7bUi3dlmt1KIBXundoJ719W38ecgFnyLc7D+mip5bq+aXbZZrmyQ8AvAjJPADgjHlh6Q5lO0v0xoqd3DQBtbDZjGrDe7dmF8h9/P6NABrNp1tzVVbu1vc5R6wOBWiwJk/mX3jhBaWmpiosLEx9+vTR8uXLT1h/2bJl6tOnj8LCwtS+fXu99NJLNeq899576t69u0JDQ9W9e3ctXLjwtD8XAND0/nbD2brr4o56ZkwvGYZx8gOAAPbWyp26ctZXmr10u9WhAH7rocu66rlf9dYTo3tyXYLPadJkfv78+Zo0aZIefvhhrVu3ThdddJEuu+wyZWVl1Vo/MzNTl19+uS666CKtW7dOU6dO1T333KP33nvPU2flypUaO3as0tLStGHDBqWlpWnMmDFavXr1KX+uL8t2FmvFjjxlO4utDgUATio0yK4/juiimEj20wZOJizYrnK3qZ8OHNW+w0Vc74EmctU5yYoMZV1w+J4mTeafeeYZ3XrrrbrtttvUrVs3zZw5U23atNGLL75Ya/2XXnpJKSkpmjlzprp166bbbrtNt9xyi55++mlPnZkzZ2rYsGGaMmWKunbtqilTpmjo0KGaOXPmKX+ur5qfkaULnvhc415drQue+FzzM/zvYQUA37c2K1/zvsliWD3QQDf0baO3b+uv89vH6sInl3K9BxpBtrNYz6Rv033z1qm0vMLqcIDT0mSPoMrKyrRmzRo99NBD1cqHDx+uFStW1HrMypUrNXz48GplI0aM0Jw5c+RyuRQcHKyVK1fqvvvuq1GnKpk/lc+VpNLSUpWWlnpeFxQUSJJcLpdcLteJv6wFsp0lmrJgk6qm0blNacqCTRqQ2kJJjsBdNKfqb+WNfzNYh3ZhjWxnib7bV6A/f7RVuUdKVeoq17jz2lgdVjW0DdTGm9pFm+ahSpuzmuu9l/CmtoGGe3fNHj3ywXeef09lFRWaOeacRjk3bQO1OZV20ZC6TZbM5+XlqaKiQgkJCdXKExISlJOTU+sxOTk5tdYvLy9XXl6ekpKS6qxTdc5T+VxJmjFjhh577LEa5UuWLFFERETdX9QiPzoNuU17tTK3Kf170VJ1ctD7lZ6ebnUI8EK0izNn5X5D83+yyZQhyVR0sBSWs0mLFm2yOrRa0TZQG29oF1zvvZM3tA00zOFSadpa+8/XpUqLNuXovOC9ah7aeJ9D20BtGtIuioqK6l23ySeHHL+QhGmaJ1xcorb6x5fX55wN/dwpU6Zo8uTJntcFBQVq06aNhg8frujo6DqPs0q2s0QvbP1Sxy5wazOkMZdfHNBP6l0ul9LT0zVs2DAFB7NHKCrRLs6sbGeJ7vv7l/rl58nQ0XJpwOBLvO73ibaB2nhTu+B67128qW2gYVb9dEjm2m+rlZky1KHX+eqfGnPa56dtoDan0i6qRojXR5Ml83FxcbLb7TV6w3Nzc2v0mldJTEystX5QUJBiY2NPWKfqnKfyuZIUGhqq0NCaj+WCg4O98h9kSlywZozu6RlqbzOkGaN7KiUuyurQvIK3/t1gLdrFmbHH6dTxO2m5TWmvs8xrf6NoG6iNN7SLquv91AWbVWGaXO+9hDe0DTTMXmepbIaqXZ/shqEOCdGN+rekbaA2DWkXDWk/TZbMh4SEqE+fPkpPT9e1117rKU9PT9fVV19d6zEDBgzQRx99VK1syZIl6tu3r+dLDRgwQOnp6dXmzS9ZskQDBw485c/1VWP7pWhQ55bamVekdnERSnKEWx0SACiqlhWB7YahdnHeN2UJ8AVc74HTs3LHQT38/mY1jwjR4aIyuc3K69L00T349wSf1qTD7CdPnqy0tDT17dtXAwYM0CuvvKKsrCzdcccdkiqHtu/du1dvvvmmJOmOO+7Q7NmzNXnyZI0fP14rV67UnDlz9K9//ctzznvvvVeDBg3Sk08+qauvvloffPCBPv30U3311Vf1/lx/kuQI50cIgFc5WFimYLshV0Vl9wc3TMDpO/56f7S0XG+u3KkJgzrIbmNvbOBEosKClNw8TP3axuiPIzpr18FiHozBLzRpMj927FgdPHhQf/nLX5Sdna0ePXpo0aJFatu2rSQpOzu72t7vqampWrRoke677z49//zzSk5O1nPPPafrrrvOU2fgwIGaN2+eHnnkEf3pT39Shw4dNH/+fPXv37/en+tPyivcyj1SqqKyCnWMb2Z1OACgIV3i9b97LtLhojJVuMUNE9DI3G5Tv3pllTbtdarE5dbkYZ2tDgnwaj1aOfTRXRcqNMiu8BC7kpszUgz+ockXwJs4caImTpxY63uvv/56jbLBgwdr7dq1Jzzn9ddfr+uvv/6UP9ef7DxYpEufWSZHeLA2PDr85AcAwBnQOYH5vEBTsdkM3Xphqp74+HsN6dLS6nAAr+UscskRUTlVt3lEiMXRAI3PZnUAOD3R4UEKthsKCbJ5Vv4HgDNtT36Rxr26SjvzCq0OBQgI1/Rupc/+MFjnprSwOhTAK72/bq8GP71Uy344YHUoQJMhmfdxLZuF6ofHL1PGw5eecOs9AGhKj36wRSt2HNQj72+2OhQgYEQes9jk/oISFZdVWBgN4D1M09S/vsnS4SKXvt15yOpwgCZDMu/jDMMgiQdgub9e21NDu8ZrxuieVocCBJxvMg/piueW6+H3NzFKD1Dl/fGbt56nR6/srkmXsqYE/FeTz5kHAPi/REeY5tzUz+owgIBU4TaVX+TSd/sK9GPuUeUdLVVqXCQLTyKghQbZdfMFqVaHATQpknk/MPvzH/XD/qO6Y3AHdU+OtjocAAEiM69QzmKXerVpbnUoQEAb0CFW//htX+3JL9bImV/KbUo2Q5oxuqfG9kuxOjzgjMh2FmvW5z+qXUykbh/cwepwgDOCZN4PLN12QGt25evynkkk8wDOiBJXhSa+vVbbc49o1q96a2SPJKtDAgJa16Qo3fpGhtw/j7J3m9LUBZs1qHNLeujh9+ZnZOmhBZtUNcvkUFGZHrqsm7VBAWcAc+b9wK/7p+iRK7qpSyJbQQFoetnOYq3YkaeE6FBFhwWrN6tpA5bLzCv0JPJVKkxTO/OKrAkIOEOyncWackwiL0mvfpmpbGexdUEBZwg9835g9LmtrQ4BQICYn5GlKQs2eYbxPjCiixKiw6wOCwh4qXGRshmqltAbhtQuLsK6oIAz4EQPshiVAn9HzzwAoF6qej+OHcb7t09+oPcD8AJJjnDNGN1T9p93uDEkTb+2J8kM/JppmvrpQKFsx23sZDcMHmQhINAz7wdKXBU6VFimIJuheHrIADSR7/YV0PsBeLGx/VI0qHNL7cwrUru4CP5dwu/98+ud+r//fqduSVH6IeeIKszKRH766B60fwQEknk/8ObKnZq+6Htd27uVnh3by+pwAPipnXmFNcro/QC8S5IjvFoSY5qmXl+xU1edk6zYZqEWRgY0vrhmIQoNsun6Pm10ec9EHmQh4JDM+wFHeLCC7YbcpnnyygBwim69qL125BVq3jdZctP7AfiE6Yu26tXlmfpkS47evu182Y8fjwz4sKt7tdK5KS3UukW4DMPgeoSAQzLvB27o00Zj+raRYXCBBtC0pl/bU3df0pHeD8BHjOnbRv9Zs0fX9GpFIg+/UOKqkGlK4SF2SVKbGEaHIXCRzPsBGxdnAE0k90iJXli6Qw+M7KKIkMpLxvHDeAF4r04JUVr+4CVqFsotH3yfaZp66L2N+mH/Ub2c1odEHgGP1ewBALUyTVOT52/Q6yt26v53N1odDoBTdGwiX1peoV0Ha65/AfiCnIISfbU9T9v2H9Hew+ykAvCY1g84i116+pNtKiqr0N/HnGN1OAD8hGEYumdoJ+07XKzJwztbHQ6A05R7pES3v7lGB46U6sO7LmBBPPicJEe4PrzrQq3Zla/z28daHQ5gOZJ5f2BKb63aJUmaMbqnQoIYcAGgcZyXGqP0yYOZawv4gdAguw4XlelIiUs7DxaRzMMnJTcPV3JzpnoBEsm8X4gKC9I9l3RUdHgwK9oDOG27DxUpLNiullGVN/ok8oB/cIQH6x+/66tgu01tYyOV7SxWZl6hUuMiWQcDXqu4rEJ3vbNWdw/tpF5tmlsdDuBVSOb9gM1maPLwLlaHAcAPFJdVaPyb3+pQYZnm/K6ferZ2WB0SgEbUMT5KkjQ/I0tTFmyS25RsRuXIvrH9UiyODqgu21msv/5vqz77Pldbswu09P4hCg2yWx0W4DVI5gEAHgcLS1XuNuU2pfhohuAC/ijbWexJ5CXJbUpTF2zWoM4t6aGH1zj2gZMkjTonmUQeOA6Tq/1EUVm59h0uVmFpudWhAPBB2c5irdiRJ7vN0Ad3XqC3bj1PCdFhVocFoAlk5hV6EqQqFaapnXlF1gQEHOf4B06SNGd5prKdrGAPHIueeT9xy+sZWvXTIT33q9666pxkq8MB4EMYbgsEltS4SNkMVUuU7IahdnHs2Q3v8OUPeXU+cGL0CPALeub9RHRYsIJshkpcFVaHAsCH1DXclt4PwH8lOcI1Y3RP2Y3KxS3thqHpo3uQJMEr5BeW6dn0H2qU88AJqImeeT/x/K/PVZDNkGGw6jSA+jvRcFtu7AH/NbZfigZ1bqmdeUVqFxehJEe4lm7L1cbdTt17aSerw0MAiw4P1uU9k/TB+r3KLyqT2+SBE1AXknk/EWxnkAWAhmO4LRC4khzhnuQoM69Qt73xrSrcpnq0itbQbgkWR4dAZbcZ+vOV3TVpWCcVlpZXe+AEoDoyQAAIYAy3BSBVPtibOKSDxvRtrYs6tbQ6HASgjJ2HZJq/PFmODgtWkiNcAzrEck0C6kDPvJ9Ym5WvhWv3qn3LSN18QarV4QDwcut3H1ZG5iHddlFqrcNtAQSeycM6SxJT9nDGfbhhn+751zqNPreVnr7+HNlstEGgPuiZ9xO7DhbqrVW79NnWXKtDAeDlCkpcuuOtNfrroq3659c7JYneDwAyjOpr77y3Zo8KSlwWRoRAcbSkXHabodjIEBJ5oAHomfcT3ZMcuueSjuoQ38zqUAB4uajQIE28uIPeWZ2lMX1bWx0OAC/0bPoP+n+f/ahBG1rqtZv6yU6ChSY0rn+KerSK1lnJDqtDAXwKybyf6JIYpS6JXawOA4APMAxDvx3QTr86L4XFMwHUalj3BP1j+U8a2CFW+wuKtfNgkVLjIhm9g0ZTWFquILuh0CC7JOns1s2tDQjwQSTzABAgMnYe0jmtmyskqDKBJ5EHUJcerRxa9sDF+mzrfl345FK5TclmSDNG99TYfilWhwcflu0s1o7cQr3wxXa5Ktx6Oa2vYiJDrA4L8Ekk837CNE0VllWooNilJEcYi9cAqGbNrnz9+tXVOqeNQ6/dfJ6ahfLzD+DEXBVuTVmwybN1pduUpi7YrEGdW9JDj1MyPyOrWpsKshnak19EMg+cIrpl/ESJy60ej36igU98rsKyCqvDAeBljpaWKzTIprhmoYoMsVsdDgAfkJlX6Em6qlSYpnbmFVkTEHxatrO4WiIvSW7TVMuoUOuCAnwcXTN+IizYpmC7IdOUjpS46HUDIKny5ikzr1CdE5rpg7suUEI0I3cA1E9qXKRshqolXzZDahcXYV1Q8Fm1PRxym9LOvCJGegCniIzPTxiGoY2PjlBYsI0bdQCSpHnfZGnqwk3MdQVwSpIc4ZoxuqemLtisCtP0/I6QeOFUHDhSWqPMbhg8HAJOA8m8Hwln6CyAn1UNZ6zqBGGuK4BTMbZfigZ1bqmdeUVqFxfh+f04XFQmQ4YcEcEWRwhf4Hab+sfyTEmSIclUZSI/fXQPrknAaSCZBwA/tC3niI4bzeiZ68qNE4CGSHKEV/vd2He4WL/95zdqERGst27tr7BgOhNwYjaboddu7qfnl27XTQPbad/hkmoPhwCcGpJ5P/Lemj1av/uwRp2dpP7tY60OB4CFuiRG1ZjrynBGAI2hoMSl/QUlOlpSrv0FJWobG2l1SPBSpml6pn/GNQvVo1eeJUm0GaCRsJq9H/nihwN6a9UubdlXYHUoACximpXZe9VcV/vPN1EMZwTQWLomRuv1m8/TexMHkpShToeLynTtCyu0/McDVocC+C165v3I8O4JSo2N0DltmlsdCgALFJaWa/yb3+rOizvqgo5xdc51BYDT1adti2qvDx4tVWwzthjDL55ful3rdx/W1IWb9NnkIQoJog8RaGwk837kynOSrQ4BgIVe/GKHVuw4qJ8OFOqL+4coLNheY64rADS2dVn5uvn1DN1zSSfdcmGq1eHAS/xxRBcdKSnXLRemksgDTaTJ/mXl5+crLS1NDodDDodDaWlpOnz48AmPMU1T06ZNU3JyssLDwzVkyBBt2bKlWp3S0lLdfffdiouLU2RkpK666irt2bPH8/7OnTt16623KjU1VeHh4erQoYMeffRRlZWVNcXXBACvcdclHXV9n9Z64TfnsiAVgDNmdeYhHS5y6cMN+5R1qFArduQp21lsdViwWGiQXU9cd7Y6J0RZHQrgt5qsZ37cuHHas2ePFi9eLEm6/fbblZaWpo8++qjOY5566ik988wzev3119W5c2c9/vjjGjZsmLZt26aoqMofgkmTJumjjz7SvHnzFBsbqz/84Q8aNWqU1qxZI7vdru+//15ut1svv/yyOnbsqM2bN2v8+PEqLCzU008/3VRf1yuYpqnCsgqVlbsVExlidTgAzrCwYLuevuEcq8MAEGAmDGqv6LBglVe4NeRvX8htyrMn/dh+KVaHhzNk3+Ei/d9/t6pbUrTuGdrJ6nCAgNAkyfzWrVu1ePFirVq1Sv3795ckvfrqqxowYIC2bdumLl261DjGNE3NnDlTDz/8sEaPHi1JeuONN5SQkKB33nlHEyZMkNPp1Jw5c/TWW2/p0ksvlSTNnTtXbdq00aeffqoRI0Zo5MiRGjlypOe87du317Zt2/Tiiy/6fTK/aFOO7nxnrc5LjdG/JwywOhwAZ8DSbbnKcZboV+dxwwzAGoZh6OKuLXXBE597dtBwm9LUBZs1qHNLpvoEgPkZWXpowSaZpvTx5hy5TVOTLu1sdViA32uSZH7lypVyOByeRF6Szj//fDkcDq1YsaLWZD4zM1M5OTkaPny4pyw0NFSDBw/WihUrNGHCBK1Zs0Yul6taneTkZPXo0UMrVqzQiBEjao3H6XQqJibmhDGXlpaqtLTU87qgoHJFeJfLJZfLVb8vbrGI4MpVq4+W+E7Mja3qewfq90ft/LVd7D1crLveXqvCsgpFBhu6rEei1SH5HH9tGzg9tIuG255TUG0rTEmqME3t2F+guAj/WaKJtlFTtrNEU35O5Ks899mPGt0rSUmOMOsCO8NoG6jNqbSLhtRtkl/XnJwcxcfH1yiPj49XTk5OncdIUkJCQrXyhIQE7dq1y1MnJCRELVq0qFGnrvPu2LFDs2bN0t///vcTxjxjxgw99thjNcqXLFmiiAjf2Je5wi09dZ4UYsvXokWLrA7HUunp6VaHAC/kL+3icKl0oMRQXKipQfGGthcYcu1cq0VZVkfmu/ylbaBx0S7q73CpZMguU8YxpaZ2rF+lg1stC6vJ0DZ+se2wIbdZfZ0Wtyn9e9FSdXKYdRzlv2gbqE1D2kVRUVG96zYomZ82bVqtCe+xMjIyJFUOuTqeaZq1lh/r+Pfrc0xddfbt26eRI0fqhhtu0G233XbCc0yZMkWTJ0/2vC4oKFCbNm00fPhwRUdHn/BYeA+Xy6X09HQNGzZMwcHBVocDL+FP7eLdNXv02AffeeakPn51dz3TK1lBdlYKPhX+1DbQeGgXpyY4ZY8e+fn3yTCk/7vyLI3t19rqsBoVbeMXpmnq2c+2K9NWJJuxv9rIDJshjbn84oDrmadt4Hin0i6qRojXR4OS+bvuuks33njjCeu0a9dOGzdu1P79+2u8d+DAgRo971USEyuHh+bk5CgpKclTnpub6zkmMTFRZWVlys/Pr9Y7n5ubq4EDB1Y73759+3TxxRdrwIABeuWVV0763UJDQxUaWnN/1ODgYP5B+iD+bqiNr7eLbGex50ZZquz5+NMHW3Vxt0QlOdjf+XT4ettA06BdNMy481N1cbdE7cwrUru4CM9cedM0tT33qDr50armtA3p+5wCvbJ8pyrcpm69MFWvf71TFaYpu2Fo+ugeSonzn793Q9A2UJuGtIuGtJ8GJfNxcXGKi4s7ab0BAwbI6XTqm2++0XnnnSdJWr16tZxOZ42ku0pqaqoSExOVnp6u3r17S5LKysq0bNkyPfnkk5KkPn36KDg4WOnp6RozZowkKTs7W5s3b9ZTTz3lOdfevXt18cUXq0+fPnrttddkswVGj5Vpmvr7kh9UUOLSH0d0UXQYPySAP8nMK6x1TurOvCIWmALgFZIc4dV+j0zT1N8+2aZXl/+kWb86VyNZ28NvdE2M1rNje+nQ0VLddEGqbrsotcaDHABNq0nmzHfr1k0jR47U+PHj9fLLL0uq3Jpu1KhR1Ra/69q1q2bMmKFrr71WhmFo0qRJmj59ujp16qROnTpp+vTpioiI0Lhx4yRJDodDt956q/7whz8oNjZWMTEx+uMf/6iePXt6Vrfft2+fhgwZopSUFD399NM6cOCA5/Oqev/9lWEYeu3rTBWWVeiWC1JJ5gE/kxoXKUPSsfm83TDULs431vUAEHjcprQ7v1iuClP7C0qsDgenye02VeyqUGRoZQpx1TnJnveOf5ADoOk12fKib7/9tu655x7PyvNXXXWVZs+eXa3Otm3b5HQ6Pa8feOABFRcXa+LEicrPz1f//v21ZMkSzx7zkvTss88qKChIY8aMUXFxsYYOHarXX39ddnvlwhtLlizR9u3btX37drVuXX2elmn6/yIct1yYKkPy/MgC8B9JjnA9cV1PTVmwSW5TnqGM3DwB8FZ2m6Fnx5yj0ee20sVdai6ODN9R4Tb10HsbtePAUb15a381414TsFyT/SuMiYnR3LlzT1jn+OTaMAxNmzZN06ZNq/OYsLAwzZo1S7Nmzar1/Ztuukk33XRTQ8P1G38YXnPbPwC+bfHmbF3QMU5RYcEa2y9Fgzq3ZCgjAJ8RZLdVS+RLyyuUkZmvDvGRyswrVGpcJL9lPmBvfrGWfLdfR0vLtWZXvgZ3bml1SEDA45EaAHixD9bv1b3z1qtHq2jNv32AIkODGMoIwGe5Kty66511Sv9uv2fakM2QZozuqbH9UqwOD8fJdhZ7HrikxEborVvP0978YhJ5wEuQzPsZ0zRVWFYhmyFFhPDnBXxdh5bNFBsZor5tYxQRYj/5AQDgxeyGoWY//5ZVjc90m9LUBZs1qHNLHlR6kfkZWZ5pXcc+cDm7dXOrQwPws8BY5j2A/PHdjerx6Cd6Y8Uuq0MB0Ah6tHLov/dcqD+P6i7DMKwOBwBOi81m6Ia+bWqUV+3MAe+Q7Sz2JPLSLw9csp3F1gYGoBqSeT8TFVbZG3+kxGVxJABO1ea9Tu06WOh5neQIl81GIg/AP6S2jNTxP2mGpNhmIZbEg5pOtBUqAO9BMu9n/jiii777ywjdP4KF8ABfk+0s1n++3a1fv7pK17+0UjsOHLU6JABodEmOcM0Y3VP2Y0YbmZKeTf/BuqBQTWpczQcubIUKeB8mVfsZtgkBfNOxcxMlqXV4sBKiw6wNCgCayLE7c5S4KvTUJ9v00GVdrQ4roJmmqde+3qnk5uEa2SNRM0b31NQFm1VhmmyFCngpMj8AsNjxcxMlad/hYh0pcfGADoDfOnZnjsGdW1abTpTjLFGigweaZ9J/N2brL//9TuHBdvVoNYitUAEfwF2in9l1sFDvfrtHUWFBmjC4g9XhAKiHtbvya8xNdJvSzrwibp4ABIRjE/kt+5y64aWVumlgO/1xeBfWDDlDLuuRqMGdW+rCjnFq1bzy2sNWqIB3I5n3MznOEs1eul3t4yJJ5gEfkFtQoscXba1RztxEAIFqxfaDKiqr0MY9TlWYpvY7Szx7nZNYNq59h4uV5AiTYRgKstv02k39eHgC+BCSeT/TOiZCvxvQVknNudgBvqBFZIh6JjtU6nLrcFGZ3KaYmwggoI0f1F6tW4RrYIc4LVi7p9a9znF6sp3Fem/NHj2/dLvuG9ZZtw+q7AAikQd8C8m8n2nVPFyPXd3D6jAA1FOw3aZZ43qroLhc5W43cxMBQNJlPZPq3Ot8UOeW/EaehuMXXP33t7t164XtZSeRB3wOW9MBwBm2ea9Tr3+d6XkdGmRXy6hQJTnCNaBDLDepACD2Om8K+w4X1Vhw9acDhco9UmJdUABOGT3zfsg0TRWVVSgs2M5TVsDL5DhL9KtXV+lISblimoXqqnOSrQ4JALxS1V7nxyaerCdyakzT1L++2a03VmSy4CrgR+iZ90P9/vqZznr0E+04cNTqUAAcJ9ERpt8NaKfz2sXo4i4trQ4HALxWkiNcM0b3lN2o7JiwG/KsJ1JUVq7nPvtRJa4Ki6P0Dc5il55esk3b9h/V8d08PCABfBc9834oMtSuvKOVP9wAvM8fhndWWYVboUF2q0MBAK9W117nT378vd5YuUvfZB7S3Nv6Wxyl92seEaK/XtNDew8XKzI0SI8s3KwK02TBVcDHkcz7oQW/H6iIkCCFBTPwArBatrNY7367Rz/sL9BzN54rm82QYRgk8gBQT7XtdT6ka7w+2bJfEwa3r1ae7SxmGztJuw8VaerCTbpvWGedm9JCUuWiglWGdKn5gASA7yGZ90OxzUKtDgGAaq4YHBK0Qc+M6WVpTADgDy7uEq8v7h+isOBfHow+8fFWvfzlTzIDdBu7Yx9kPL90u5b/mKf8ojJ9dNeFMozqg+tre0ACwPfQdQsATeD4LZUk6f11e5XtLLYuKADwI8cm8j/sP6KXllUm8tIv29gFym/u/IwsXfDE5xr36mpd8MTn6pIYpct6JGrWr86tkcgD8B8k835o+Y8H9PQn27R0W67VoQABqcRVoQ27D9e5YjAAoHHtzCusUVa5jV3Ncn+zdtchPfjeLw+P3ab0+H+36s9XdldqXKS1wQFoUiTzfuir7XmavXS7vv4xz+pQgIBz4Eipxr26SjM//VHH7wzJisEA0DR6tnbU+pv7/NIdmvHxVuUXllkT2Bnwfc6RGmWVDzJ4eAz4O5J5P9SvbYx+N6Ct+raLsToUIOCUuCq082CR9h0u1l0XdzxmSyVWDAaAplJzGztDvx/SQV9tz9M/v8pUkR9tYbd5r1OLN2d7Xl/cNZ7t5oAAxQJ4fujS7gm6tHuC1WEAAalNTIRe/W1fNY8IVoeWzfSr/imsGAwAZ8Dx29glRofp3LbNtSO3UK2a//L7m/7dfrVqHqbDxS6fWPX+2IXtfjpQqF//Y7VaRARrUOeWiggJUpIjXE9c11NTF7DdHBBoSOYB4DSYpql/LM/UgA6x6tHKIUnq07aF531WDAaAM+f439xLuibokq6/vL+/oER3zF2jip8nmHv7qvf/+iZLDy+snA9vM6THr+mhDi0jdXbr5iosrVBESOWt/PEPMrjuAIGBZN5Pmaap0nJ3tZVeATSOY3tJPt6Uo78u2qrE6DB9ct8gOcKDrQ4PAFCHbTlHPIm89Muq9yWuCrVv2Uz9U2MVEuQds1A//36/pizY5HntNqU/vb9Fn/1hsNrVsrAdD4+BwEMy74c27jms0S+sUEJ0mL5+6BKrwwH8yrF7x9sM6U+juqtLQpR+dV4bRYfxkwoA3izIXnObtgrT1N+X/KCCknLNvbW/LuwUV+39Yx/gxkU0zu/8sedMcoRr18FCpX+3X50SojS4c0tJqrEjSlWs2c6SWpN5AIGHO08/FBkapHK3qYISl9WhAH7l+L3jq7b/WfrHwUqJ5cYKALxdalykbEb1RNlmSEO6tNTmfQXq3/6XxYNf/zpTc1dnaceBozKrhrlf3V11/dofn6DX5fiHwjNG99S+wyX6f5/9qJFnJXqS+bOSo2UYknlMrCxsB+BYJPN+KCUmQqumDFV0OH9eoDFl5hXW6CmpME3tPVxCMg8APqBq1fvjF4sb2y9FpmnKMH7puX9/3T5tzz3qee02pUc++E7RwXYtyFurN27t73nvmSXbNGvpdk/SP2N0T53fPlYfrN+niBC7bruovaTKhP/B96oPnZ+6YLP+8bu+uqhTnAb9nMhXxfpELbEylB5AFbI9PxRstynREWZ1GIDfSY2LlCHp2HyeXhIA8C11LRZ3bCIvSb8d2Fbr/324WpnblA6XGdp7uNhTlu0s1nOfb69WZ+qCzfp/N/bSM+k/qH3LSE8yn5lXWCOeCtNUWLBdbx3zcOBksQKARDIPACflqnAr2G5TkiNc/3dND/3pg80yTfaOBwBfVZ/F4gZ0iK11SP7Nnct18QXdPGV1JeiSdGO/NmoT88sD39qG+Z/soTAL2wGoC8m8n3p79S5lHy7Rr/qnVNtbFUD9FZS4NO2DLSotd2v2uN4yDEO/Ob+thnaLp5cEAPxcbUPy/+/qborcv1H9U3+ZW19Xgt6nXQuNOif5pOfkoTCAU0Uy76de/3qnfsw9qoEdYknmgVO0K69IH27YJ7dpamt2R3VPjpZELwkABIrjh7nHRQRp0aKN1eo0NEFn6DyAxkIy76dGnZ2sQ4WlahkVanUogM84fiXinq0deuzqs9QlIcqTyAMAAsuxD3Bdrtp3Cmpogs5DYQCNgWTeT917aSerQwB8Sm1bBY3tl6Jf929rdWgAAB9Agg7gTLNZHQAAWK22/eOnLtisbGfxiQ8EAAAALEIy78dM05Srwm11GIDXMk1TFW6zzv3jd+YVWRMYAAAAcBIk837q+aXb1enhj/WXj76zOhTAK23cc1ijX1yh11fs9KxEfCz2jwcAAIA3I5n3U6FBNpW7TRWU1L5QCxDovttXoHVZh/WP5T8prlmoZozuKbtRmdGzVRAAAAC8HQvg+akb+rbRqLOT5QgPtjoUwFLZzmJtzylQbrG093Cx2rWs/DdxQ9822ne4WL8+v62C7Ta2CgIAAIBPIZn3U47wYBJ5BLxjV6iX7Hp9Z4aWP3CJbDZDdpuhycO7VKvPSsQAAADwFQyzB+CXjl+hXjK093CJ1u3OtzIsAAAAoFHQM++nDheV6d/f7la529TEIR2tDgc4Y4rKyvXvjN3K2Hmoxgr1klRWXkshAAAA4GOarGc+Pz9faWlpcjgccjgcSktL0+HDh094jGmamjZtmpKTkxUeHq4hQ4Zoy5Yt1eqUlpbq7rvvVlxcnCIjI3XVVVdpz549tZ6vtLRUvXr1kmEYWr9+fSN9M99wpKRc0xd9r//36Y9WhwKcUTvzijTto++0aFNOjRXqbYZYoR4AAAB+ocmS+XHjxmn9+vVavHixFi9erPXr1ystLe2Exzz11FN65plnNHv2bGVkZCgxMVHDhg3TkSNHPHUmTZqkhQsXat68efrqq6909OhRjRo1ShUVFTXO98ADDyg5ObnRv5svaBEZomt6JevGfm3krq17EvBx2c5irdiRp1U/HdSn3+33lHdPjta4/in6yzU99NhVPTwr1Bsy9fjV3ZkTDwAAAL/QJMPst27dqsWLF2vVqlXq37+/JOnVV1/VgAEDtG3bNnXp0qXGMaZpaubMmXr44Yc1evRoSdIbb7yhhIQEvfPOO5owYYKcTqfmzJmjt956S5deeqkkae7cuWrTpo0+/fRTjRgxwnO+jz/+WEuWLNF7772njz/+uCm+pldrFhqkmTf2tjoMoElUX9hOigixa80jwxQeYpckTb+2p6fupd3jtWN/gXasX6Ub+rS2IlwAAACg0TVJMr9y5Uo5HA5PIi9J559/vhwOh1asWFFrMp+ZmamcnBwNHz7cUxYaGqrBgwdrxYoVmjBhgtasWSOXy1WtTnJysnr06KEVK1Z4kvn9+/dr/Pjxev/99xURUb8htaWlpSotLfW8LigokCS5XC65XOzV7iuq/lb8zfzTjgOF2n7g6HEL20lFZRX6bl++zm7lqHFMXESQHK2jdHAr7QI18ZuB2tAuUBfaBupC20BtTqVdNKRukyTzOTk5io+Pr1EeHx+vnJycOo+RpISEhGrlCQkJ2rVrl6dOSEiIWrRoUaNO1fGmaeqmm27SHXfcob59+2rnzp31innGjBl67LHHapQvWbKk3g8EvJFpSqZUY+6wv0tPT7c6BDSydXmGXv/RrrhQU26zZoNe+uUK7XGceEoJ7QJ1oW2gNrQL1IW2gbrQNlCbhrSLoqKietdtUDI/bdq0WhPeY2VkZEiSDKPmzbZpmrWWH+v49+tzzLF1Zs2apYKCAk2ZMuWExxxvypQpmjx5sud1QUGB2rRpo+HDhys6OrpB5/IWv33tW2XszNdLv+6lwZ1bWh3OGeFyuZSenq5hw4YpODjY6nDQQNnOEu06WKS4ZsFav6dAqbER6tO28uHdgKIyzX/6S3VMdujQzvxqPfM2Qxpz+cVKcoTVel7aBepC20BtaBeoC20DdaFtoDan0i6qRojXR4OS+bvuuks33njjCeu0a9dOGzdu1P79+2u8d+DAgRo971USExMlVfa+JyUlecpzc3M9xyQmJqqsrEz5+fnVeudzc3M1cOBASdLnn3+uVatWKTQ0tNr5+/btq1//+td64403av380NDQGsdIUnBwsM/+gzQMQ+VuU4Uu02e/w6ny5b9boDp2HryhyhElV/RM0vkdK0f5xDuC9e0jwxQZGqT5GVmaumCzKkxTdsPQ9NE9lBIXddLPoF2gLrQN1IZ2gbrQNlAX2gZq05B20ZD206BkPi4uTnFxcSetN2DAADmdTn3zzTc677zzJEmrV6+W0+n0JN3HS01NVWJiotLT09W7d+XCbWVlZVq2bJmefPJJSVKfPn0UHBys9PR0jRkzRpKUnZ2tzZs366mnnpIkPffcc3r88cc95923b59GjBih+fPnV5vDHwievuEc2QxDLSL5QYH3evXLn7Rw3V5tzSmQ+XNve1Wne4eWkdXqRoZW/mSN7ZeiQZ1bamdekdrFRbBCPQAAAAJOk8yZ79atm0aOHKnx48fr5ZdfliTdfvvtGjVqVLXF77p27aoZM2bo2muvlWEYmjRpkqZPn65OnTqpU6dOmj59uiIiIjRu3DhJksPh0K233qo//OEPio2NVUxMjP74xz+qZ8+entXtU1JSqsXSrFkzSVKHDh3UunVgrWSd3JwEB94h21mszLxCRYUGKe9omS7u+suaGt/uOqTvsmsfTjSgQ90PD5Mc4STxAAAACFhNksxL0ttvv6177rnHs/L8VVddpdmzZ1ers23bNjmdTs/rBx54QMXFxZo4caLy8/PVv39/LVmyRFFRvwyfffbZZxUUFKQxY8aouLhYQ4cO1euvvy673d5UXwXAKTJNU//+dne11edthrTh0eGKCqscMZJ2fjudm9JCTy7+vto8eLthqF2c7y4+CQAAADSlJkvmY2JiNHfu3BPWMc3qK08bhqFp06Zp2rRpdR4TFhamWbNmadasWfWKo127djU+J1Bs2efU19vz1DY2UiPOSrQ6HPiZqt721LjIGj3kn23dr+c++1EdWjbT++v3VkvS3aa0eW+BBnSIlSRd2ClOF3aKU/OI4Brz4Ol5BwAAAGrXZMk8rLdmV76mL/pel/dMJJlHo6q2WJ0hDewQq79e01Pt4irnuLtNacMep3KPlFZL5E+EefAAAABA/dmsDgBNp1N8lK7t3Ur9U2OtDgV+wlnk0pItOdWGzZum9PX2g/rfpmxPvfNSY/Ts2HP04q/Ple24nSVPNHw+yRGuAR1iSeQBAACAk6Bn3o8N6BDrGcoM1MeJhs5vzz2qYc8uU6jdVmtve7PQX9atcIQH69relQtOzhjdk+HzAAAAQCMjmQcgqeY+7ykxEbqmdyvdN6yzJKl9XKQc4cFyhAVpd35xjcXqhtcxlYPh8wAAAEDjY5h9AAjUBQBRPyWuCs3/Jqv60HlJuw4V6bOt+z31bDZDXz5wsZY9cIlmjO4pu1E5fr4+ve0MnwcAAAAaFz3zfizvaKmGP/uljpaW6/u/jJTt+MnLCBgnGj4/+oUVde7zfvug9tVeR/+8nRy97QAAAIC1SOb9WLPQIB0qLJMkFZaVe/b1RmA5fvj8eakxmnf7+TJ+7lkf1LmlDh4tVe6RUh07hsNuGOqXGlPneZMc4STxAAAAgEUYZu/HwoLt+mTSIK2aMlSRITy3CUTZzuIaw+dXZx7S8h/zPHXuHdpJq6YO1RPXNWzoPAAAAADrkOH5uS6JUVaHAAtUuE19siVHX2zLrXXl+SMlLs//Dg+pXIWeofMAAACA7yCZB/zQd/sKNPHttbIbks1QjZXnz23botbjGDoPAAAA+AaSeT/32db9+ulAoYZ0aalOCfTS+5NjF7ULDbJrx4Gj6teuco57z9YOXdYjUZ3im6lFZIge/+9W9nkHAAAA/AjJvJ97a9UufbHtgJpHBJPM+5Fqi9oZkt1mqEVEiL568GKFBlUOm3/xN3089Uf2SGT4PAAAAOBHSOb93MAOsWoREaJWLUjg/EWNRe1MqbzCVGxkiPY7S5USG1HjGIbPAwAAAP6FZN7P3T6og9UhoJG9v25vrYvaPXpl91oTeQAAAAD+h63pAB+yv6BEzyz5oUa53TDULi7SgogAAAAAWIFkHvAhCdFhmjSssy7sGCdb5ZbwLGoHAAAABCCG2fu5jzbs058/2Kx+7WL0ym/7Wh0OGuhwUZme+Ph73XVJR7VuUTmE/s6LO+rOizsq21nMonYAAABAgCKZ93N2m6H8Ipfyi8qsDgX1dOyWc9M+3KJPtuxXtrNEb9xyXrV6LGoHAAAABC6SeT93Qcc4fTJpkFpEBlsdCurh2C3nbIZ037DO2nu4WJMu7WR1aAAAAAC8CMm8n3OEB8sRTiLvC7KdxXpowSaZP69U7zalmek/avmDQ5TcnFXqAQAAAPyCBfAAL/HF9wc8iXyVCtPUroPF1gQEAAAAwGuRzPs5V4Vb8zOy9OqXP8lV4bY6HJzABZ1ia5RVbjlHrzwAAACA6kjm/ZzNMPTge5v010VbVVDssjocnEBKTKQev6YHW84BAAAAOCnmzPs5u83Q5T0TFRpktzoU1OKfX2XKVeHWhMEdJEm/Ob+thnaLZ8s5AAAAACdEMh8AXvh1H6tDQC2+3XlIf/nvd5KkfqkxOjelhSS2nAMAAABwciTzgEX6tovRHYM7qFmoXb3bNLc6HAAAAAA+hGQeOIOqFiEMtlcuV/HgyC4yDMPKkAAAAAD4IBbACwAPL9ykc/8vXfO+ybI6lICV7SzWF9tydfNrGXrwPxvldlfuQUciDwAAAOBU0DMfAErL3TpUWKZDRWVWhxKQ5mdkacqCTfo5f5fdZmj8oPbqlhRtbWAAAAAAfBbJfAC455JOGn9ReyU6wqwOJeBkO4urJfKSZJqmmkcEWxcUAAAAAJ9HMh8AUmIjrA4hYGXmFVZL5CXJbUo784pYsR4AAADAKWPOPNCENu911iizG4baxfGABQAAAMCpo2c+AOw9XKyvfjygqLBgXd4zyepwAkZRWbleXvaTJMmQZKoykZ8+uge98gAAAABOC8l8ANi6r0APvrdJ57RpTjJ/BkWEBGn+hAF6e/Uu3XZhqrIOFatdXASJPAAAAIDTRjIfAJKbh+uSrvHqGN/M6lACTsf4Znr0yrMkSa1aMLQeAAAAQOMgmQ8A3ZOj9c+b+lkdRsCY81WmBnduycMTAAAAAE2GBfCARrR4c47+77/f6drnv1bukRKrwwEAAADgp+iZBxpRn7YtdF5qjHqnNFd8VJjV4QAAAADwUyTzAWLYM8t0sLBM/7vnQhZga0Ito0L19m39ZVgdCAAAAAC/xjD7AHGosEyHCstUUFxudSh+x+029d2+As/rYLtNQXb+aQEAAABoOvTMB4jXbu6nsGC7UmJYUb0xZTuL9fQn2/T+ur2adtVZShvQzuqQAAAAAASAJus+zM/PV1pamhwOhxwOh9LS0nT48OETHmOapqZNm6bk5GSFh4dryJAh2rJlS7U6paWluvvuuxUXF6fIyEhdddVV2rNnT41z/e9//1P//v0VHh6uuLg4jR49ujG/ns85u3VzdU6IUliw3epQ/Mb8jCxd8MTnem/tXlWY0sY9TqtDAgAAABAgmiyZHzdunNavX6/Fixdr8eLFWr9+vdLS0k54zFNPPaVnnnlGs2fPVkZGhhITEzVs2DAdOXLEU2fSpElauHCh5s2bp6+++kpHjx7VqFGjVFFR4anz3nvvKS0tTTfffLM2bNigr7/+WuPGjWuqr4oAlO0s1pQFm+Q2fylbsHavsp3F1gUFAAAAIGA0yTD7rVu3avHixVq1apX69+8vSXr11Vc1YMAAbdu2TV26dKlxjGmamjlzph5++GFPL/obb7yhhIQEvfPOO5owYYKcTqfmzJmjt956S5deeqkkae7cuWrTpo0+/fRTjRgxQuXl5br33nv1t7/9Tbfeeqvn/LV9ZiBZv/uwtuUU6Kxkh3q0clgdjs/LzCuslshLUoVpamdeEQsMAgAAAGhyTZLMr1y5Ug6Hw5PIS9L5558vh8OhFStW1JpYZ2ZmKicnR8OHD/eUhYaGavDgwVqxYoUmTJigNWvWyOVyVauTnJysHj16aMWKFRoxYoTWrl2rvXv3ymazqXfv3srJyVGvXr309NNP66yzzqoz5tLSUpWWlnpeFxRULmjmcrnkcrlO67+HN5j3zS7Ny9ijey7poC7x/jtvvupv1dR/sx9znDIkHZvP2wyplSPEL9qLvzlT7QK+h7aB2tAuUBfaBupC20BtTqVdNKRukyTzOTk5io+Pr1EeHx+vnJycOo+RpISEhGrlCQkJ2rVrl6dOSEiIWrRoUaNO1fE//fSTJGnatGl65pln1K5dO/3973/X4MGD9cMPPygmJqbWz58xY4Yee+yxGuVLlixRRITvJ78VeYa6Nzd0KOsHLVq0zepwmlx6enqTnbu0Qvr7OrtMGTJkev7/mFS31n39udY12SfjdDVlu4Bvo22gNrQL1IW2gbrQNlCbhrSLoqKietdtUDI/bdq0WhPeY2VkZEiSDKPmTtumadZafqzj36/PMcfWcbvdkqSHH35Y1113nSTptddeU+vWrfXuu+9qwoQJtZ5jypQpmjx5sud1QUGB2rRpo+HDhys6OvqEn+8LLrc6gDPE5XIpPT1dw4YNU3BwcJN8hmmaatbhgOauztJfru6uHGeJUmIilOQIa5LPw+k7E+0Cvom2gdrQLlAX2gbqQttAbU6lXVSNEK+PBiXzd911l2688cYT1mnXrp02btyo/fv313jvwIEDNXreqyQmJkqq7H1PSkrylOfm5nqOSUxMVFlZmfLz86v1zufm5mrgwIGS5Dm2e/funvdDQ0PVvn17ZWVl1Rl3aGioQkNDa5QHBwfzD9IHNfXf7fJzWunyc1pJkjomsAaBr+DfM+pC20BtaBeoC20DdaFtoDYNaRcNaT8NWs0+Li5OXbt2PeH/hYWFacCAAXI6nfrmm288x65evVpOp9OTdB8vNTVViYmJ1YYglJWVadmyZZ5j+vTpo+Dg4Gp1srOztXnz5mp1QkNDtW3bL0PJXS6Xdu7cqbZt2zbk6wLVVLhNlbgqTl4RAAAAAJpYk2xN161bN40cOVLjx4/XqlWrtGrVKo0fP16jRo2qtvhd165dtXDhQkmVw+snTZqk6dOna+HChdq8ebNuuukmRUREeLaVczgcuvXWW/WHP/xBn332mdatW6ff/OY36tmzp2d1++joaN1xxx169NFHtWTJEm3btk2///3vJUk33HBDU3xdn7AuK19D/rZUN76y0upQfNY732Rp5Mwv9dWPeVaHAgAAACDANckCeJL09ttv65577vGsPH/VVVdp9uzZ1eps27ZNTqfT8/qBBx5QcXGxJk6cqPz8fPXv319LlixRVFSUp86zzz6roKAgjRkzRsXFxRo6dKhef/112e12T52//e1vCgoKUlpamoqLi9W/f399/vnnNRbOCyQ2w9DOg0VyVZgnr4wa3G5Tb67YqZ0Hi7Q994gu7BRndUgAAAAAAliTJfMxMTGaO3fuCeuYZvXE0jAMTZs2TdOmTavzmLCwMM2aNUuzZs2qs05wcLCefvppPf300w2K2Z91jG+ml35zro6WlCvbWcxe6A1ksxlaMHGg3l6dpbQB7awOBwAAAECAa7JkHt7lvxv3acqCTXKblfuhzxjdU2P7pVgdlk+JCgvWHYM7WB0GAAAAADTNnHl4l2xnsSeRlyS3KU1dsFnZzmJrA/MBZeVuZew8ZHUYAAAAAFANyXwAyMwr9CTyVSpMUzvziqwJyIe8uvwn3fDSSv3ff7+zOhQAAAAA8CCZDwCpcZGyGdXL7IahdnER1gTkQ/ILy2QYUo9W0VaHAgAAAAAeJPMBIMkRrhmje6oqn7cZ0vTRPVgErx4eGdVdi+8dpGt6tbI6FAAAAADwYAG8ADG2X4oGdW6pnXlFahcXQSLfAF0So05eCQAAAADOIHrmA0iSI1wDOsSSyJ/EjtyjuvPtNdqaXWB1KAAAAABQK5L5AOQ+fjU8eMzPyNKlzyzT/zbl6LL/t1zzvsmyOiQAAAAAqIFkPoAcKXFp6N+/ULc/L1aJq8LqcLxO1RZ+xz7qeHghW/gBAAAA8D4k8wGkWWiQ9heUqrTcrT35bEt3PLbwAwAAAOArWAAvgBiGoTdvPU8tm4UquTnz5o9XtYXfsQk9W/gBAAAA8Eb0zAeYc1NaqE1MhOzHbzwPvbM6S6PPba2q/zR2w2ALPwAAAABeiZ55QNLOvEK98MUOVbhNzfldX0WEBLGFHwAAAACvRTIfYHKcJfrs+/2yGYZ+dV6K1eF4jfjoUD04sou25RzV0G4JVocDAAAAACdEMh9gdh4s1MMLN6ttbATJ/DEiQoJ0+6AOVocBAAAAAPVCMh9g2reM1NCu8WrfMtLqUAAAAAAAp4hkPsDER4Vpzk39rA7Da+w4cFTT/7dV917aSWe3bm51OAAAAABQL6xmj4A267Mf9dn3uXrus+1WhwIAAAAA9UbPfIByu02VVbgVFmy3OhRLTbq0s2w2Q7dckGp1KAAAAABQb/TMB6CXlu1Qtz8v1lOLt1kdiuXaxUXqmTG91KOVw+pQAAAAAKDeSOYDUFRYkErL3co6VGh1KAAAAACAU8Aw+wB0eY8kXdSxpZKbh1kdimXuf3eDYpuFasKg9moRGWJ1OAAAAADQICTzAahFZEhAJ7Dbc4/q3TV7JEnX9E4O6P8WAAAAAHwTyTwCToeWkfrHb/tqw57D6poYbXU4AAAAANBgJPMBatGmbG3Yc1jX9GqlbkmBldAahqFLuyfo0u4JVocCAAAAAKeEZD5A/WfNHn3+fa7axkQGVDLvdpuy2QyrwwAAAACA08Jq9gHq0m4JumlgO3VKaGZ1KGdEtrNY76zepSF/W6oP1u+1OhwAAAAAOC30zAeocf1TrA7hjJmfkaUpCzbJbVa+/udXmbq6VytrgwIAAACA00DPPPxatrO4WiIvSZv2OpXtLLYuKAAAAAA4TSTzAcw0TeUWlMh9bKbrZzLzCnX813Ob0s68ImsCAgAAAIBGQDIfoCrcps6etkTnTf9MuUdKrQ6nyaTGRer49e7shqF2cRHWBAQAAAAAjYBkPkDZbYZaRIbIZkj7/HjIeZIjXAM7xHle2w1D00f3UJIj3MKoAAAAAOD0sABeAHv3jgFqERGikCD/faZTVFaudVn5kqSpl3fVleckk8gDAAAA8Hkk8wEsITrM6hCaXERIkN6/8wJ9tGGfxl/UXobBHvMAAAAAfB/JPPxep4QoTR7exeowAAAAAKDRkMwHsH2Hi/XWql2qcJuaenk3q8NpdKZp0hMPAAAAwC/572RpnFRRWble/GKH3lmdJdP0r+3pTNPUb+as1hMff6/DRWVWhwMAAAAAjYqe+QDWukWE0s5vq3Zxkapwmwqy+08v9re7Duvr7Qe1Zle+Jgxqb3U4AAAAANCoSOYDWFiwXf93TQ+rw2gS56Y01ytpfbT3cLFaRIZYHQ4AAAAANCqSefglu83Q8LMSrQ4DAAAAAJoEc+YDnGmaOnCkVPsOF1sdCgAAAACgnposmc/Pz1daWpocDoccDofS0tJ0+PDhEx5jmqamTZum5ORkhYeHa8iQIdqyZUu1OqWlpbr77rsVFxenyMhIXXXVVdqzZ0+1Oj/88IOuvvpqxcXFKTo6WhdccIGWLl3a2F/RL/xjeab6/fVTPbn4e6tDaRQHC8v0zCa7/rN2r9xu/1rUDwAAAACqNFkyP27cOK1fv16LFy/W4sWLtX79eqWlpZ3wmKeeekrPPPOMZs+erYyMDCUmJmrYsGE6cuSIp86kSZO0cOFCzZs3T1999ZWOHj2qUaNGqaKiwlPniiuuUHl5uT7//HOtWbNGvXr10qhRo5STk9NUX9dntYkJl2FIhaUVJ6/sA+Zl7NGuo4beXr1b7EoHAAAAwF81yZz5rVu3avHixVq1apX69+8vSXr11Vc1YMAAbdu2TV26dKlxjGmamjlzph5++GGNHj1akvTGG28oISFB77zzjiZMmCCn06k5c+borbfe0qWXXipJmjt3rtq0aaNPP/1UI0aMUF5enrZv365//vOfOvvssyVJTzzxhF544QVt2bJFiYnMoz7WxV3j9f3/jVRokN3qUBrFb/q30U8/btPlF7Vnj3kAAAAAfqtJkvmVK1fK4XB4EnlJOv/88+VwOLRixYpak/nMzEzl5ORo+PDhnrLQ0FANHjxYK1as0IQJE7RmzRq5XK5qdZKTk9WjRw+tWLFCI0aMUGxsrLp166Y333xT5557rkJDQ/Xyyy8rISFBffr0qTPm0tJSlZaWel4XFBRIklwul1wu12n99/BmVUMzXC63pXE0loggaWgrU4M6tPDrvxsapqot0CZwPNoGakO7QF1oG6gLbQO1OZV20ZC6TZLM5+TkKD4+vkZ5fHx8nUPdq8oTEhKqlSckJGjXrl2eOiEhIWrRokWNOlXHG4ah9PR0XX311YqKipLNZlNCQoIWL16s5s2b1xnzjBkz9Nhjj9UoX7JkiSIiIur+svBK6enpVocAL0S7QF1oG6gN7QJ1oW2gLrQN1KYh7aKoqKjedRuUzE+bNq3WhPdYGRkZklTrEGfTNE869Pn49+tzzLF1TNPUxIkTFR8fr+XLlys8PFz/+Mc/NGrUKGVkZCgpKanWc0yZMkWTJ0/2vC4oKFCbNm00fPhwRUdHn/Dzfd2/v92jr3cc1PV9WumijnFWh3NKvtp+UPMyduum81srd+s3GjZsmIKDg60OC17C5XIpPT2ddoEaaBuoDe0CdaFtoC60DdTmVNpF1Qjx+mhQMn/XXXfpxhtvPGGddu3aaePGjdq/f3+N9w4cOFCj571K1Vz2nJycagl3bm6u55jExESVlZUpPz+/Wu98bm6uBg4cKEn6/PPP9d///lf5+fmeJPyFF15Qenq63njjDT300EO1fn5oaKhCQ0NrlAcHB/v9P8j1ewq0aPN+dUty6JJutT/s8Hb/XLFLy3/MU5IjTL0VGH83NBztAnWhbaA2tAvUhbaButA2UJuGtIuGtJ8GJfNxcXGKizt5z+2AAQPkdDr1zTff6LzzzpMkrV69Wk6n05N0Hy81NVWJiYlKT09X7969JUllZWVatmyZnnzySUlSnz59FBwcrPT0dI0ZM0aSlJ2drc2bN+upp56S9MuwBJut+kL9NptNbrd/zAtvbFecnaTOCVE6v32s1aGcskeu6K45X/2k3w5I0aaVP1kdDgAAAAA0qSbZmq5bt24aOXKkxo8fr1WrVmnVqlUaP368Ro0aVW3xu65du2rhwoWSKofXT5o0SdOnT9fChQu1efNm3XTTTYqIiNC4ceMkSQ6HQ7feeqv+8Ic/6LPPPtO6dev0m9/8Rj179vSsbj9gwAC1aNFCv/vd77Rhwwb98MMPuv/++5WZmakrrriiKb6uzxvSJV7jB7VXz9YOq0M5ZV0So/TU9eeoTQvWNwAAAADg/5pkATxJevvtt3XPPfd4Vp6/6qqrNHv27Gp1tm3bJqfT6Xn9wAMPqLi4WBMnTlR+fr769++vJUuWKCoqylPn2WefVVBQkMaMGaPi4mINHTpUr7/+uuz2yq3V4uLitHjxYj388MO65JJL5HK5dNZZZ+mDDz7QOeec01RfFxbJdhYrM69QqXGRSnKEWx0OAAAAAJwRTZbMx8TEaO7cuSesY5pmtdeGYWjatGmaNm1anceEhYVp1qxZmjVrVp11+vbtq08++aRB8Qa6g0dLtfNgkc5KjlZYsG/sOT8/I0sPvbdJpiSbIc0Y3VOje/nmnH8AAAAAaIgmGWYP3zPs2S913Ysr9NOBQqtDqZdsZ7GmLKhM5CXJbUpTF2xWtrPE0rgAAAAA4Exosp55+JbUuEiFBdlUUOKyOpR6ycwrlLv6wA5VmKayDtV/X0YAAAAA8FUk85Ak/XvCANlthtVh1FtqXKRshqol9HbDUEpMhA5aFxYAAAAAnBEMs4ck+VQiL0lJjnDNGN1TdqMybrthaProHkpyhFkcGQAAAAA0PXrm4ZP+9P5m9U5prqV/HKy9h0vULi5CSY5wuVy+MU0AAAAAAE4HPfOQJOU4S3TvvHW69fUMq0M5qc17nXpr1S7d/5+NCrLbNKBDLNvSAQAAAAgo9MxDkhQSZNMH6/dJkkpcFV69PV3rFuG6f0QXHTxapuTmJPEAAAAAAg/JPCRJLSKC9cgV3dS6RYQML58+3zwiRHde3NHqMAAAAADAMiTzkCQZhqHbLmpvdRgAAAAAgHpgzjx8RlFZue5/d4PW7z5sdSgAAAAAYCmSeXgcLS3Xuqx8bfDSZPk/a/bo3TV7dO+8dXIfu8E8AAAAAAQYknl4LNqUrWtfWKGnl2yzOpRa9U+N1XXnttbtg9rLZvPyif0AAAAA0ISYMw+P1LhIJUSHqkVEiNWh1KpLYpT+PuYcq8MAAAAAAMuRzMOjX7sYrZ56qdVhAAAAAABOgmH28Hqb9zr1bPoPyjtaanUoAAAAAOAVSObh9V5d/pP+32c/avqirVaHAgAAAABegWQe1fzzq0xd+8LX+nfGbqtD8Rh5VqJ6tWmuWy5ItToUAAAAAPAKzJlHNfsLSrQu67DOad3c6lA8LuuZpMt6JlkdBgAAAAB4DZJ5VHNVr2T1atNc3ZOjrQ4FAAAAAFAHknlUc1ayQ2clO6wOQ1LlvveuCrcu75mkYDszQgAAAACgCsk8vFKF29QTH3+vrENFKnFVaGy/FKtDAgAAAACvQXcnati816kPN+xTfmGZZTG4Kty6vk9rdYpvpivPSbYsDgAAAADwRvTMo4Z7563TjgOFmnJZV13VK1lJjvAz+vnZzmJl5hXqhr6tdfclHWUYxhn9fAAAAADwdvTMo4bmESGSpBkff68Lnvhc8zOyzthnz8/I0gVPfK5xr67WBU98rn9/6z1b5AEAAACAtyCZRzXZzmKty8r3vHab0tQFm5XtLD4jnz1lwSa5zTP/2QAAAADgS0jmUU1mXqEnma5SYZramVfk158NAAAAAL6EZB7VpMZFynbcFHW7YahdXIRffzYAAAAA+BKSeVST5AjXjNE9qyXV00f3OCOL4FV9tv3nBe/shnHGPhsAAAAAfAmr2aOGsf1SlBoXqTEvr1LnhGa6ulerM/rZgzq31M68IrWLiyCRBwAAAIBakMyjVuelxmrRPRepW1LUGdka7tUvf1Le0VLdeUlHJTnCSeIBAAAA4ARI5lGn7snRZ+Rz8gvLNPPTH1RYVqHuydFndCQAAAAAAPgi5szjpCrcpn7cf6TJzt88IlizxvXWNb2SdeXZyU32OQAAAADgL+iZxwntPlSkX/9jtQpKXFrx0CWKCGn8JmMYhi7pmqBLuiY0+rkBAAAAwB/RM48TSm7+y9z1bTmN3zvvqnA3+jkBAAAAwN/RM48TstsMvfrbvmoTE97ovfJfbMvVnz/YoqmXd9PIHomNem4AAAAA8Gf0zOOkuiRGNcnw+n8sz1TWoSJ9u/NQo58bAAAAAPwZyTwaJDOvUKZpNsq5Xk7roz8M66y7L+nUKOcDAAAAgEBBMo96MU1Tt7/5rS5++gut2ZXfKOeMDA3S3UM7yRER3CjnAwAAAIBAQTKPejEMQ7HNQmQzpLVZp5fM7z1c3EhRAQAAAEBgYgE81Nvdl3TS7wd3VEpsxCmfY09+kS75+zJd3KWlnh3bq0nm4gMAAACAvyOTQr0du03dqVq546DKK9wqKC5XeLC9EaICAAAAgMDTZMPs8/PzlZaWJofDIYfDobS0NB0+fPiEx5imqWnTpik5OVnh4eEaMmSItmzZUq3OK6+8oiFDhig6OlqGYdR6zlP5bDSMs8ilghJXg47JdharVYtwzb21v/7vmrNkGEYTRQcAAAAA/q3Jkvlx48Zp/fr1Wrx4sRYvXqz169crLS3thMc89dRTeuaZZzR79mxlZGQoMTFRw4YN05EjRzx1ioqKNHLkSE2dOrVRPxv19/rXmRrwxGf651eZ9T7mndW7dMETn2vcq6v1mzmrG20RPQAAAAAIRE0yzH7r1q1avHixVq1apf79+0uSXn31VQ0YMEDbtm1Tly5dahxjmqZmzpyphx9+WKNHj5YkvfHGG0pISNA777yjCRMmSJImTZokSfriiy8a7bPRMHFRoSoqq9A3mfXbH/4fy3/S4//b6nntNqWpCzZrUOeWSnKc/tB9AAAAAAg0TZLMr1y5Ug6Hw5NMS9L5558vh8OhFStW1JpQZ2ZmKicnR8OHD/eUhYaGavDgwVqxYoUnmW+Kz5ak0tJSlZaWel4XFBRIklwul1yuhg0n93dDO8fqjZv6aED7mHr9t1m5I69GWYVpasf+AsVFNG4TrIqHvxmORbtAXWgbqA3tAnWhbaAutA3U5lTaRUPqNkkyn5OTo/j4+Brl8fHxysnJqfMYSUpISKhWnpCQoF27djXpZ0vSjBkz9Nhjj9UoX7JkiSIiTn31dn/28baaZSUV0tc5hs6NM9UitLLs7CDpM9kl/TJH3pCpHetX6eDWmudoDOnp6U1zYvg02gXqQttAbWgXqAttA3WhbaA2DWkXRUVF9a7boGR+2rRptSa8x8rIyJCkWhc3M03zpIueHf9+fY452Tnqc54pU6Zo8uTJntcFBQVq06aNhg8frujo6AZ9fiDZm1+sTXudOqdNcyU5wnTH2+v0WdYBOZJT9OfLu3rqtey4R4988J3cpmQzpMevPks39Gnd6PG4XC6lp6dr2LBhCg4ObvTzwzfRLlAX2gZqQ7tAXWgbqAttA7U5lXZRNUK8PhqUzN9111268cYbT1inXbt22rhxo/bv31/jvQMHDtToea+SmJgoqbJnPSkpyVOem5tb5zF1naehny1VDukPDQ2tUR4cHMw/yDo8tfh7vfDFDkmVCfqM0T11y4XtlZlXpL7tYqr9dxt3fqou7paonXlFahcX0eRz5fm7oTa0C9SFtoHa0C5QF9oG6kLbQG0a0i4a0n4alMzHxcUpLi7upPUGDBggp9Opb775Ruedd54kafXq1XI6nRo4cGCtx6SmpioxMVHp6enq3bu3JKmsrEzLli3Tk08+We8YT+Wz0XDZzmK9tGyH53XVonbLHxyi9MmDZbfVHAWR5AhnwTsAAAAAaARNsjVdt27dNHLkSI0fP16rVq3SqlWrNH78eI0aNaraAnRdu3bVwoULJVUOjZ80aZKmT5+uhQsXavPmzbrpppsUERGhcePGeY7JycnR+vXrtX37dknSpk2btH79eh06dKhBn43Tk5lXKLdZvazCNLXrYHGtiTwAAAAAoPE02T7zb7/9tnr27Knhw4dr+PDhOvvss/XWW29Vq7Nt2zY5nU7P6wceeECTJk3SxIkT1bdvX+3du1dLlixRVFSUp85LL72k3r17a/z48ZKkQYMGqXfv3vrwww8b9Nk4PalxkTo+Z7cbhtrFsVggAAAAADS1JlnNXpJiYmI0d+7cE9Yxzepdu4ZhaNq0aZo2bVqdx5zs/fp+Nk5PkiNcM0b31NQFm1VhmrIbhqaP7sEwegAAAAA4A5osmYf/G9svRYM6tzxji9oBAAAAACqRzOO0sKgdAAAAAJx5TTZnHgAAAAAANA2SeQAAAAAAfAzJPAAAAAAAPoZkHgAAAAAAH0MyDwAAAACAjyGZBwAAAADAx5DMAwAAAADgY0jmAQAAAADwMSTzAAAAAAD4GJJ5AAAAAAB8DMk8AAAAAAA+JsjqALyVaZqSpIKCAosjQUO4XC4VFRWpoKBAwcHBVocDL0G7QF1oG6gN7QJ1oW2gLrQN1OZU2kVV/lmVj54IyXwdjhw5Iklq06aNxZEAAAAAAALJkSNH5HA4TljHMOuT8gcgt9utffv2KSoqSoZhWB0O6qmgoEBt2rTR7t27FR0dbXU48BK0C9SFtoHa0C5QF9oG6kLbQG1OpV2YpqkjR44oOTlZNtuJZ8XTM18Hm82m1q1bWx0GTlF0dDQ/pKiBdoG60DZQG9oF6kLbQF1oG6hNQ9vFyXrkq7AAHgAAAAAAPoZkHgAAAAAAH0MyD78SGhqqRx99VKGhoVaHAi9Cu0BdaBuoDe0CdaFtoC60DdSmqdsFC+ABAAAAAOBj6JkHAAAAAMDHkMwDAAAAAOBjSOYBAAAAAPAxJPMAAAAAAPgYknn4vBkzZqhfv36KiopSfHy8rrnmGm3bts3qsOCFZsyYIcMwNGnSJKtDgcX27t2r3/zmN4qNjVVERIR69eqlNWvWWB0WLFZeXq5HHnlEqampCg8PV/v27fWXv/xFbrfb6tBwhn355Ze68sorlZycLMMw9P7771d73zRNTZs2TcnJyQoPD9eQIUO0ZcsWa4LFGXOiduFyufTggw+qZ8+eioyMVHJysn77299q37591gWMM+ZkvxnHmjBhggzD0MyZM0/7c0nm4fOWLVumO++8U6tWrVJ6errKy8s1fPhwFRYWWh0avEhGRoZeeeUVnX322VaHAovl5+frggsuUHBwsD7++GN99913+vvf/67mzZtbHRos9uSTT+qll17S7NmztXXrVj311FP629/+plmzZlkdGs6wwsJCnXPOOZo9e3at7z/11FN65plnNHv2bGVkZCgxMVHDhg3TkSNHznCkOJNO1C6Kioq0du1a/elPf9LatWu1YMEC/fDDD7rqqqssiBRn2sl+M6q8//77Wr16tZKTkxvlc9maDn7nwIEDio+P17JlyzRo0CCrw4EXOHr0qM4991y98MILevzxx9WrV69GeRoK3/TQQw/p66+/1vLly60OBV5m1KhRSkhI0Jw5czxl1113nSIiIvTWW29ZGBmsZBiGFi5cqGuuuUZSZa98cnKyJk2apAcffFCSVFpaqoSEBD355JOaMGGChdHiTDm+XdQmIyND5513nnbt2qWUlJQzFxwsVVfb2Lt3r/r3769PPvlEV1xxhSZNmnTao0XpmYffcTqdkqSYmBiLI4G3uPPOO3XFFVfo0ksvtToUeIEPP/xQffv21Q033KD4+Hj17t1br776qtVhwQtceOGF+uyzz/TDDz9IkjZs2KCvvvpKl19+ucWRwZtkZmYqJydHw4cP95SFhoZq8ODBWrFihYWRwds4nU4ZhsHIL8jtdistLU3333+/zjrrrEY7b1CjnQnwAqZpavLkybrwwgvVo0cPq8OBF5g3b57Wrl2rjIwMq0OBl/jpp5/04osvavLkyZo6daq++eYb3XPPPQoNDdVvf/tbq8ODhR588EE5nU517dpVdrtdFRUV+utf/6pf/epXVocGL5KTkyNJSkhIqFaekJCgXbt2WRESvFBJSYkeeughjRs3TtHR0VaHA4s9+eSTCgoK0j333NOo5yWZh1+56667tHHjRn311VdWhwIvsHv3bt17771asmSJwsLCrA4HXsLtdqtv376aPn26JKl3797asmWLXnzxRZL5ADd//nzNnTtX77zzjs466yytX79ekyZNUnJysn73u99ZHR68jGEY1V6bplmjDIHJ5XLpxhtvlNvt1gsvvGB1OLDYmjVr9P/+3//T2rVrG/03gmH28Bt33323PvzwQy1dulStW7e2Ohx4gTVr1ig3N1d9+vRRUFCQgoKCtGzZMj333HMKCgpSRUWF1SHCAklJSerevXu1sm7duikrK8uiiOAt7r//fj300EO68cYb1bNnT6Wlpem+++7TjBkzrA4NXiQxMVHSLz30VXJzc2v01iPwuFwujRkzRpmZmUpPT6dXHlq+fLlyc3OVkpLiuR/dtWuX/vCHP6hdu3andW565uHzTNPU3XffrYULF+qLL75Qamqq1SHBSwwdOlSbNm2qVnbzzTera9euevDBB2W32y2KDFa64IILamxf+cMPP6ht27YWRQRvUVRUJJutej+H3W5nazpUk5qaqsTERKWnp6t3796SpLKyMi1btkxPPvmkxdHBSlWJ/I8//qilS5cqNjbW6pDgBdLS0mqs2zRixAilpaXp5ptvPq1zk8zD5915551655139MEHHygqKsrzpNzhcCg8PNzi6GClqKioGmsnREZGKjY2ljUVAth9992ngQMHavr06RozZoy++eYbvfLKK3rllVesDg0Wu/LKK/XXv/5VKSkpOuuss7Ru3To988wzuuWWW6wODWfY0aNHtX37ds/rzMxMrV+/XjExMUpJSdGkSZM0ffp0derUSZ06ddL06dMVERGhcePGWRg1mtqJ2kVycrKuv/56rV27Vv/9739VUVHhuSeNiYlRSEiIVWHjDDjZb8bxD3aCg4OVmJioLl26nN4Hm4CPk1Tr/7322mtWhwYvNHjwYPPee++1OgxY7KOPPjJ79OhhhoaGml27djVfeeUVq0OCFygoKDDvvfdeMyUlxQwLCzPbt29vPvzww2ZpaanVoeEMW7p0aa33Fr/73e9M0zRNt9ttPvroo2ZiYqIZGhpqDho0yNy0aZO1QaPJnahdZGZm1nlPunTpUqtDRxM72W/G8dq2bWs+++yzp/257DMPAAAAAICPYQE8AAAAAAB8DMk8AAAAAAA+hmQeAAAAAAAfQzIPAAAAAICPIZkHAAAAAMDHkMwDAAAAAOBjSOYBAAAAAPAxJPMAAAAAAPgYknkAAAAAAHwMyTwAAAAAAD6GZB4AAAAAAB9DMg8AAAAAgI/5/5c9V1pti2cWAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 1200x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "    a = 1.\n",
    "    b = a + 4 * np.pi  # Two periods\n",
    "    u_0 = 2.\n",
    "    k = 2.\n",
    "    n = 80\n",
    "\n",
    "    (t, U) = explicitMidpoint(f4, a, b, u_0, n)\n",
    "    u = u4(t, a, u_0, k)\n",
    "    h = (b-a)/n\n",
    "    figure(figsize=[14,5])\n",
    "    title(f\"Solving du/dt = {k}(cos(t) - u) - sin(t), u({a})={u_0} by the Explicit Midpoint Method\")\n",
    "    plot(t, u, \"g\", label=\"Exact solution\")\n",
    "    plot(t, U, \".:b\", label=f\"Solution with h={(b-a)/n:0.4}\")\n",
    "    legend()\n",
    "    grid(True)\n",
    "    \n",
    "    figure(figsize=[12,5])\n",
    "    title(f\"Error\")\n",
    "    plot(t, u - U, '.:')\n",
    "    grid(True);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Observation:** This time, the errors are slightly better than for the Explicit Trapezoid Method but still not \"half as much \" as seen with integration; this is because this equation has a mix of integration (the \"sin\" and \"cos\" parts) and exponential growth (the \"Ku\" part.)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "(classical-runge-kutta)=\n",
    "## The \"Classical\", Fourth Order Accurate, Runge-Kutta Method\n",
    "\n",
    "This is the original Runge-Kutta method:\n",
    "\n",
    "```{prf:algorithm} Runge-Kutta\n",
    ":label: runge-kutta\n",
    "\n",
    "$$\\begin{split}\n",
    "K_1 &= h f(t, u)\n",
    "\\\\\n",
    "K_2 &= h f(t + h/2, u + K_1/2)\n",
    "\\\\\n",
    "K_3 &= h f(t + h/2, u + K_2/2)\n",
    "\\\\\n",
    "K_4 &= h f(t + h, u + K_3)\n",
    "\\\\\n",
    "u(t+h) &\\approx u + \\frac{1}{6}(K_1 + 2 K_2 + 2 K_3 + K_4)\n",
    "\\end{split}$$\n",
    "```\n",
    "\n",
    "The derivation of this is far more complicated than those above, and is omitted.\n",
    "For now, we will instead assess its accuracy \"*a postiori*\",\n",
    "through the next exercise and some examples."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Exercise 4\n",
    "\n",
    "A) Verify that for the simple case where $f(t, u) = f(t)$,\n",
    "this gives the same result as the composite ximpson's Rule for integration.\n",
    "\n",
    "B) Do one step of this method for the canonical example $du/dt = ku$, $u(t_0) = u_0$.\n",
    "It will have the form $U_1 = G U_0$ where the growth factor $G$ approximates the factor $g=e^{kh}$ for the exact solution $u(t_1) = g u(t_0)$ of the ODE.\n",
    "\n",
    "C) Compare to the growth factors $G$ seen for previous methods, and to the growth factor $g$ for the exact solution."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "def rungeKutta(f, a, b, u_0, n):\n",
    "    \"\"\"Use the (classical) Runge-Kutta Method\n",
    "    to solve du/dt = f(t, u) for t in [a, b], with initial value u(a) = u_0\n",
    "    \"\"\"\n",
    "    h = (b-a)/n\n",
    "    t = np.linspace(a, b, n+1)  # Note: \"n\" counts steps, so there are n+1 values for t.\n",
    "    u = np.empty_like(t)\n",
    "    u[0] = u_0\n",
    "    for i in range(n):\n",
    "        K_1 = f(t[i], u[i])*h\n",
    "        K_2 = f(t[i]+h/2, u[i]+K_1/2)*h\n",
    "        K_3 = f(t[i]+h/2, u[i]+K_2/2)*h\n",
    "        K_4 = f(t[i]+h, u[i]+K_3)*h\n",
    "        u[i+1] = u[i] + (K_1 + 2*K_2 + 2*K_3 + K_4)/6\n",
    "    return (t, u)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Yet again, available for import with\n",
    "\n",
    "    from numericalMethods import rungeKutta"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Examples"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1400x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1400x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "    a = 1.\n",
    "    b = 3.\n",
    "    u_0 = 2.\n",
    "    k = 1.5\n",
    "    n = 20\n",
    "\n",
    "    (t, U) = rungeKutta(f2, a, b, u_0, n)\n",
    "    u = u2(t, a, u_0, k)\n",
    "    \n",
    "    figure(figsize=[14,5])\n",
    "    title(f\"Solving du/dt = {k}u, u({a})={u_0} by the Runge-Kutta Method\")\n",
    "    plot(t, u, \"g\", label=\"Exact solution\")\n",
    "    plot(t, U, \".:b\", label=f\"Solution with h={(b-a)/n:0.4}\")\n",
    "    legend()\n",
    "    grid(True)\n",
    "\n",
    "    figure(figsize=[14,5])\n",
    "    title(f\"Error\")\n",
    "    plot(t, u - U, \".:\")\n",
    "    grid(True);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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ZYgCxDrOYPn26ARgrV660a+/Vq1eUIV01a9Y0atasGeUY0Q1lO3jwoAEYf/zxh62tYsWKhp+fn/HgwQNbW1BQkJE5c+bnHtKVO3du22v5tJ/oLpGPzV9//WW4u7sbrVq1inXbzz77zO71eVyDBg2MQoUK2X4fO3asARiXL1+2227BggUGYMyePTvG+1m3bp0BGOPGjbNrX7p0qQEYs2bNMgzj0fAfwDh48GCMx7py5YoBGGPGjIly29OGdBmGYWzcuNEAjF9//TXGbeLracMJY3oNO3XqZPj4+CRYBsN4NIyoZcuWT90muuEBuXPnNtzc3Izz58/b2h48eGBkzpzZ6NOnj60t8rXas2dPlOPG1v/ff/99w8HBIdrhh7GJ/Gx5ckhI5JCOLVu22NoaN25sFClSJNZjxvf9WrBgQaNhw4ZR2i9evGgAxueff27X/vDhQ8Nisdh9zkX2k7j8PP6YotOpUyfDycnJ2L9/f6zZnZ2d7V7HSLt27Yp2mNqTatasGeNnroODg63fBAUFGenTpzcGDRpkt12xYsWM2rVrx5oztiFdsZ1bLly4YDg5ORkDBgyw2+7u3buGr6+v0a5du6fef2R/Wrp0qREWFmbcv3/f2Llzp1G4cGGjWLFidsMYYxoOHd37CzB8fHyMoKAgW9vly5cNBwcHY/To0ba28uXLGzlz5jRCQ0Ptsnt7e9sdc/fu3QZgfPnll3b38++//xru7u7GsGHDnvo4H88JGPny5bM7xz0urufQhBjSZbVajbCwMGPr1q0GYPz1119P3f7xIXhnzpwxLBaL8csvvxiGYRht27Y1atWqZRhG1HNCfJ6/2IZ0lSxZ0m44Z+Sw8CVLlhiG8WgYqZ+fn1GyZEm7IaV37941smXLZlSpUsXWFp/vGyKSvOgKHxFJEN7e3mzfvp19+/YxZswYWrRowYkTJxg+fDglS5a0XbmzZcsWgChDoypUqEDRokWfujKLt7c3zZs3Z/78+bYrS27dusXKlSvp0qVLtMPJnvTSSy/Z/R75r8jnz58HsE0S2q5dO7vtXn755Tgdf8uWLaRPnz7K/XTs2DHWfZ9m2bJl5MmTx/Yvj/fu3WPfvn20bt0aNzc323bp06eP178+xmT16tXs27cv1p/evXvH67jnzp2jWbNm5MyZk2+++SbO+8W0Csjj7RcvXsRisUT5V+Bff/0VNzc3XnvttRiPH3nF0ZP9sm3btnh4eNj6ZenSpXFxcaF3797Mnz8/2iEKkcM4ohvqEpvIfWIbxhLfKy6eJcfVq1cJDw+PcRvDMKLkeJoKFSrw66+/8u677xIQEMCDBw/inKd06dLkypXL9rubmxuFChWyvW/h+Z93q9Ua7dDLhHTx4sVnyhcXT1sp58nbnJ2dyZgxo10/8/Pzi9N7ft++fZQtWzbG+/rwww9ZtGgREyZMeOp2z5o9OjF95lqtVttVYOnTp6d79+7MmzfPNiRn8+bN/PPPP7zxxhtxyvk0sZ1b1q9fT3h4OF26dLF7z7i5uVGzZs1oJxSOTvv27XF2diZdunRUrVqVoKAg1qxZYzeMMb5q165tN8m5j48P2bJls2W/d+8e+/fvp2XLlnYTint6ekY53/zyyy9YLBZeffVVu8fp6+vLCy+8YHuccfn8eOmllzhz5oxpK26eOXOGjh074uvri6OjI87OztSsWROAo0ePxvk4efPmpVatWnz77bfcuHGDlStXxng+iuvzFxdNmzbF0dHR9vuTffL48eNcvHiRzp07212N6unpSZs2bdizZw/3799P9O8bIpK4Yv/rRUQkHsqVK2ebUyAsLIx33nmHCRMmMG7cOMaNG2cbvpE9e/Yo+/r5+dn9ARed1157jWXLlrFx40YaNmzIkiVLCA0NjfMSxt7e3na/u7q6Atj++IzM5+PjY7edk5NTlH2jc+PGjSj7wqNhMs/jp59+shvOdevWLaxWa7THfd77AihWrFicigjxmXfk/Pnz1K5dGycnJzZt2kTmzJlj3SfyOY/ueb1586bdMR48eICzs7PdF1yAa9eu4efn99SsN27cwMnJyTbXQySLxYKvr6+tX+TPn5/ffvuNcePG8frrr3Pv3j3y5cvHwIEDbcNHIvvS41+M4ypyn9iKIc7Ozna/z507N97LeMeWwzAMQkJC8PT0jHab+fPnRxmS8LQ+8/XXX+Pv78/SpUsZO3Ysbm5uNGzYkPHjx1OwYMGn5onuvefq6mr3PCXF8/68Hjx4EO3nw/Py9vaOdmjczZs3AaJ9r7m5udk9XhcXlzivfPTkeyzSqFGj+PTTT/nss8/iXER5luxPetpn7uPHHjBgAFOmTGHRokX07t2bKVOm4O/vT4sWLeKU9WliO7dEDsUpX758tPvH9bN07Nix1KlTh/v379uGDrds2ZK9e/fa7vN5s4P9++vWrVsYhhHt8/xk25UrV2LcFiBfvnxA3D4/Zs+eTebMmRk7dqxt7r+kEhwcTPXq1XFzc+PTTz+lUKFCpEuXjn///ZfWrVvH+7OiR48edO/ena+++gp3d3defvnlaLeL6/MXF3H9vhPT9zGr1Wp77RPz+4aIJC4VfEQk0Tg7OzNixAgmTJhgm0Mi8gvIpUuX7CZfhEf/+h3bGP2GDRvi5+fH3LlzadiwIXPnzqVixYoUK1YsQTJH5rty5Qo5cuSwtYeHh8dprhFvb29+//33KO3RXTng5uZmN5Y+0pPzGB09epSjR4/aLe2aKVMmLBZLtMdNiKsU8ufPH2vxDWDEiBFx+tfX8+fPU6tWLQzDICAgIMprH5OSJUsCj5bkffw1Dg8P59ixY3To0MHWliVLFh4+fMi9e/fsJorOmjUrO3bswGq1xvhHlbe3N+Hh4Vy7ds2u6GMYBpcvX7b7I6169eq25YH379/P5MmTefPNN/Hx8eGVV16x9eHIP1jjI3Kf2N4H+/bts/s9b968MW4bWcyInIco0tP6882bN3F1dY2x2AOPJjt+MsfTeHh4MGrUKEaNGsWVK1dsV/s0b96cY8eOxfk4MXn8eY/uD5inievzHp2Ynt/o5iPLkiXLM/WL2JQsWZIlS5YQHh5udyXi33//DUCJEiWi7HPr1i27x3vu3Lmn9qPHbdmyJcpkuaNGjWLkyJGMHDkyXsvclyxZ0pbzcU/L/qTo5oWJ/Bx8/I/eAgUK0LhxY6ZOnUrjxo1ZtWoVo0aNirGAlZAin+uffvqJ3LlzP/Nx8uXLZ/tHlRo1auDu7s4HH3zA5MmTeeutt4BHffLJ/gjR98m4iDzfPO15jpQlSxYsFgvbt2+PtgAV2RaXzw8HBwfmzJmDxWJh/PjxWK1Wu4mC43oOfRabN2/m4sWLBAQE2K7qAZ55frXWrVvz+uuvM2bMGHr16oW7u3u028X1+UsIj38fe9LFixdxcHAgU6ZMGIaRqN83RCRxaUiXiCSI6L4wwP8ue/bz8wOgTp06AHz33Xd22+3bt4+jR49St27dp96Po6MjnTt3ZsWKFWzfvp39+/c/dahOfEVOprp06VK79p9++inWISvw6NL4u3fvsmrVKrv2xYsXR9k2T548nDhxwu6L+Y0bN+xWjoJHw7n8/PyoVKmSrc3Dw4MKFSrw888/ExISYmu/e/cuq1evjnJfT14NEZuEHNJ14cIFatWqRUREBJs3b47XHzsVK1Yke/bsUVaY+umnnwgODrZbma1IkSIAnD592m7bxo0bExISEu0qVZEi+92T/XLZsmXcu3cv2n7p6OhIxYoVmTp1KgAHDhwAIHfu3Li7u0fJAbG/DpFDxGIrYEZeSRf587Srz3x8fHBzc+PQoUN27StXrnxqjtgyeHt7R8kRVz4+PnTr1o0OHTpw/PhxuxXOnlVMrz/E7Xn39vZ+pqtvIlcDevL5ffIzIDLjs6xUFJtWrVoRHBzMsmXL7Nrnz5+Pn58fFStWtGu/ePEiISEhdq/x8wzp+uSTTxg5ciQffPABI0aMiHf2Y8eO2a0kFh4eznfffUfFihVt546niekz18HBIcoE2YMGDeLQoUN07doVR0dHevXqFaec8f0MfVLDhg1xcnLi9OnTUd438X3/PG7YsGEUKFCAMWPG2FZdy5MnD1evXrUr0Dx8+JD169c/0314eHhQrlw5VqxYYTc5fXBwcJTVvJo1a4ZhGPz333/RPsbIIn5cPz8iiz49e/bkyy+/ZMiQIbbb4noOffLKlrjcFjmU8MkCy8yZM6PNGRt3d3c++ugjmjdvTr9+/WLcLq7PX2S25+mThQsXJkeOHCxevNju6qp79+6xbNky28pd8f2+ISLJi67wEZEE0bBhQ/z9/WnevDlFihTBarVy8OBBvvzySzw9PW3DXQoXLkzv3r2ZPHkyDg4ONG7cmHPnzvHhhx+SM2dOBg8eHOt9vfbaa4wdO5aOHTvi7u6eICtgRSpevDgdOnTgyy+/xNHRkTp16nDkyBG+/PJLMmTIEOtl9126dGHChAl06dKFzz77jIIFC7J27dpov2h37tyZmTNn8uqrr9KrVy9u3LjBuHHj8PLystvup59+onXr1lHmsvjkk09o1KgR9evXZ+jQoURERDB27Fg8PDyiXEVQsmRJAgICWL16NdmzZyd9+vQULlw4xsfx+JfK53H16lVq167NpUuXmDNnDlevXuXq1au22/39/W1X+5w/f578+fPTtWtX29VMjo6OjBs3js6dO9OnTx86dOjAyZMnGTZsGPXr16dRo0a2Y0VecbBnzx67VX86dOjA3Llz6du3L8ePH6d27dpYrVb27t1L0aJFeeWVV6hfvz4NGzbknXfeISgoiKpVq3Lo0CFGjBjBiy++aFtGe8aMGWzevJmmTZuSK1cuQkJCbMvt1qtXD3g0NCam5W9LlizJzz//zPTp0ylbtiwODg52f+js2bMHb2/vBHv+Adt8EN9++y358+fnhRde4Pfff4+2CAmPlgz+/fff6dGjR4JlgEfFu2bNmlGqVCkyZcrE0aNHWbhwoe2PioQ4vru7O3v27Ikyn0ps/X/Pnj3UrFnT7j02b948unfvHutwufLly1O4cGHeeustwsPDyZQpE8uXL7db4SZS5DweJ06ciLKq0tatW7l27RrwaJW88+fP89NPPwFQs2ZN25VnH3/8MR9//DGbNm2yXXnQuHFj6tevT79+/QgKCqJAgQIsWbKEdevW8d1330W5giWybz6+opmLi8szFR2+/PJLPvroIxo1akTTpk2j9PvHC9U9evRg/vz5nD592lb4fe2115g6dSpt27ZlzJgxZMuWjWnTpnH8+HF+++23OGXw9vamX79+XLhwgUKFCrF27Vpmz55Nv3797OZ+gkfLZBcrVowtW7bw6quvxnlOpfh+hj4pT548fPzxx7z//vucOXOGRo0akSlTJq5cucLvv/9uuwIuvpydnfn8889p164dkyZN4oMPPqB9+/Z89NFHvPLKK7z99tuEhITw9ddf21aJehYff/wxTZs2pWHDhgwaNIiIiAjGjx+Pp6en3fmmatWq9O7dm+7du7N//35q1KiBh4cHly5dYseOHZQsWfKpBY/oWCwWZs2ahcViYcKECRiGwYQJE+J8Dk2fPj25c+dm5cqV1K1bl8yZM5MlSxby5Mlj+6ydNGkSXbt2xdnZmcKFC1OlShUyZcpE3759GTFiBM7OzixatIi//vrrmZ/DIUOG2BWsohOf5y+280lsHBwcGDduHJ06daJZs2b06dOH0NBQxo8fz+3btxkzZoxt2/h83xCRZCapZ4kWkdRp6dKlRseOHY2CBQsanp6ehrOzs5ErVy6jc+fOxj///GO3bUREhDF27FijUKFChrOzs5ElSxbj1VdfNf7991+77WJaacQwDKNKlSoGYHTq1Cna24lhla59+/bZbRfdSjohISHGkCFDjGzZshlubm5GpUqVjN27dxsZMmQwBg8eHOtzERgYaLRp08bw9PQ00qdPb7Rp08a24syTKyXNnz/fKFq0qOHm5mYUK1bMWLp0qd3jPnXq1FNXxVm1apVRqlQpw8XFxciVK5cxZsyYaFdiOXjwoFG1alUjXbp0BhDtyiaJIfL5jenn8dcocmWR6FbCWbx4se1x+vr6GgMHDrRb/S1S9erVjSZNmkRpf/DggfHRRx8ZBQsWNFxcXAxvb2+jTp06xq5du+y2eeedd4zcuXMbzs7ORvbs2Y1+/frZrX6ze/duo1WrVkbu3LkNV1dXw9vb26hZs6axatUqu/ubM2eO4ejoaFy8eNGu/ebNm8bLL79sZMyY0bBYLHavk9VqNXLnzh1lFZ+EcOfOHaNnz56Gj4+P4eHhYTRv3tw4d+5ctCvXbNq0KcqKcAnh3XffNcqVK2dkypTJcHV1NfLly2cMHjzYuH79um2bmFbpatq0aZTjRbdCT+fOnY1ixYpF2fZp/T/yPbZs2TK7fSZPnmwAxrp162J9bCdOnDAaNGhgeHl5GVmzZjUGDBhgrFmzJsp7986dO4anp2eU1eAiH09M75PHjxH5HD35mXD37l1j4MCBhq+vr+Hi4mKUKlXKthrPkzp37myULFky1scVF0/L/eRr2bVr12hXRLp8+bLRpUsXI3PmzLbP3I0bN8b5/osXL24EBAQY5cqVM1xdXY3s2bMb7733nt3KjY8bOXJkjCu6xSSmPhSfc4thGMaKFSuM2rVrG15eXoarq6uRO3du4+WXXzZ+++23p97/46s+RadixYpGpkyZjNu3bxuGYRhr1641Spcubbi7uxv58uUzpkyZEuMqXa+//nqU4+XOnTvKZ/Hy5cuNkiVL2p1vBg4caGTKlCnK/t9++61RsWJFw8PDw3B3dzfy589vdOnSJU4rt0XmvHbtml271Wo1+vbtawDGwIEDDcOI/Rwa6bfffjNefPFFw9XVNcp5Zvjw4Yafn5/h4OBg95rt2rXLqFy5spEuXToja9asRs+ePY0DBw7EuOrh42J7vSLFtNJWXJ6/mM4nkefS8ePHRzludJ/5K1asMCpWrGi4ubkZHh4eRt26dY2dO3dG2Teu3zdEJHmxGEYCL+0hIpIK7dq1i6pVq7Jo0aLnXnErPsaNG8cXX3zBpUuXkmSeiZRu2bJltG/fnvPnz9vNwZTUQkJCyJUrF0OHDuWdd96J0z6bNm2iQYMGHDlyxDY8yQydO3fmzJkz7Ny507QMz2r//v2UL1+ePXv2RBnGFJMPP/yQBQsWcPr0abv5b9q1a8fZs2fjNU9RXAwYMIBNmzZx5MiROK1AldCCgoLw8/NjwoQJcR7OlNqUK1cOi8WS4K9tWhMWFkbp0qXJkSMHGzZsMDuOiIhEQwUfEZEnbNy4kd27d1O2bFnc3d3566+/GDNmDBkyZODQoUPPtAqQJA3DMKhSpQply5ZlypQppmaZPn06I0eO5MyZM3aTSMekdu3aFChQgNmzZydBuuidPn2aokWLsnnzZqpVq2ZajufRvn177t27F2Vukejcvn2bfPnyMXnyZDp16mRrN/5/lZzvvvuOBg0aJGi+K1euUKhQIebMmRPjSj2JadSoUSxdupRDhw7ZFbhSu6CgIA4fPswvv/zC6NGjWb58OS1btjQ7VorSo0cP6tevT/bs2bl8+TIzZsxg69atbNiwwTakVUREkpe0c6YXEYkjLy8vNmzYwMSJE7l79y5ZsmShcePGjB49WsWeZM5isTB79mxWrVr11FW5kkLv3r25ffs2Z86ciXVOnlu3blGzZk369++fROmid+HCBaZMmZJiiz3waE6ZOXPmcPfuXdKnT//Ubc+ePcvw4cOjXLVnsVjs5ppKSD4+PixatIhbt24lyvFj4+Xlxbx589JUsQceTapeu3ZtvL29GTFihIo9z+Du3bu89dZbXLt2DWdnZ8qUKcPatWtV7BERScZ0hY+IiIiIiIiISCqjZdlFRERERERERFIZFXxERERERERERFIZFXxERERERERERFKZVDdjn9Vq5eLFi6RPn96U5U5FRERERERERBKDYRjcvXsXPz+/WBcoSXUFn4sXL5IzZ06zY4iIiIiIiIiIJIp///0Xf3//p26T6go+kUuw/vvvv3h5eZmcRpJaWFgYGzZsoEGDBjg7O5sdR9IA9TlJaupzktTU5ySpqc9JUlOfk6T2PH0uKCiInDlz2mofT5PqCj6Rw7i8vLxU8EmDwsLCSJcuHV5eXvqwliShPidJTX1Okpr6nCQ19TlJaupzktQSos/FZQobTdosIiIiIiIiIpLKqOAjIiIiIiIiIpLKqOAjIiIiIiIiIpLKpLo5fERERERERCTpWa1WHj58aHaMeAsLC8PJyYmQkBAiIiLMjiNpQGx9ztnZGUdHx+e+HxV8RERERERE5Lk8fPiQs2fPYrVazY4Sb4Zh4Ovry7///huniXBFnldc+lzGjBnx9fV9rj6pgo+IiIiIiIg8M8MwuHTpEo6OjuTMmRMHh5Q1c4jVaiU4OBhPT88Ul11Spqf1OcMwuH//PlevXgUge/bsz3w/KviIiIiIiIjIMwsPD+f+/fv4+fmRLl06s+PEW+RQNDc3NxV8JEnE1ufc3d0BuHr1KtmyZXvm4V3qzSIiIiIiIvLMIucgcXFxMTmJSOoRWTwNCwt75mOo4CMiIiIiIiLPTfPfiCSchHg/qeAjIiIiIiIiIpLKJGrBZ/To0ZQvX5706dOTLVs2WrZsyfHjx2Pdb+vWrZQtWxY3Nzfy5cvHjBkzEjOmiIiIiIiISKplsVhYsWLFcx8nT548TJw48bmPI0kjUQs+W7du5fXXX2fPnj1s3LiR8PBwGjRowL1792Lc5+zZszRp0oTq1avz559/8t577zFw4ECWLVuWmFFFREREREQkDenWrRsWiwVHR0cyZcqEo6MjFouFRo0aJVmGkSNHUrp06SS7v7iaN28eGTNmjNK+b98+evfunfSB5Jkk6ipd69ats/t97ty5ZMuWjT/++IMaNWpEu8+MGTPIlSuXrWpYtGhR9u/fzxdffEGbNm0SM26yEhgIJ09CwYLg7292GhERERERkdSnUaNGzJkzh7t375I+fXocHBxwdXU1O1aylTVrVrMjSDwk6Rw+d+7cASBz5swxbrN7924aNGhg19awYUP279//XLNTpyQzZoWRO7dBnTqQOzfMmWN2IhERERERkdTH1dUVX19ffHx88PX1xdfXl0yZMgEQEBCAi4sL27dvt23/5ZdfkiVLFi5dugQ8usihWrVqZMyYEW9vb5o1a8bp06ft7iMwMJBXXnmFzJkz4+HhQbly5di7dy/z5s1j1KhR/PXXX1gsFiwWC/PmzYs2Z0BAABUqVMDDw4OMGTNStWpVzp8/b7t9+vTp5M+fHxcXFwoXLszChQtjfMwBAQFYLBZu375tazt48CAWi4Vz584REBBA9+7duXPnji3XyJEjgahDui5cuECLFi3w9PTEy8uLdu3aceXKFdvtkVcwLVy4kDx58pAhQwZeeeUV7t69+9TXRRJGol7h8zjDMBgyZAjVqlWjRIkSMW53+fJlfHx87Np8fHwIDw/n+vXrZM+e3e620NBQQkNDbb8HBQUBj5YuS4kFosBA6N/PCcP6aEZuqxX69DGoUydcV/rEQeRrnhJfe0mZ1OckqanPSVJTn5Okpj6X8oSFhWEYBlarFavVimEY3A+7b0qWdM7p4ry6kWEYtp/I361Wq+32GjVqMGjQIDp37syff/7JuXPneP/991m0aBE+Pj5YrVbu3r3Lm2++ScmSJbl37x4jRoygVatWHDhwAAcHB4KDg6lZsyY5cuRgxYoV+Pr6cuDAAcLDw2nbti1///0369evZ8OGDQBkyJDBLgNAeHg4LVu2pGfPnixatIiHDx/y+++/2/IuX76cQYMGMWHCBOrWrcuaNWvo3r07fn5+1K5d23acyNcn8vhP/n/kfytVqsSECRMYMWIER48eBcDT09O2TeT9GoZBy5Yt8fDwYMuWLYSHh/PGG2/Qvn17Nm/ebNv29OnTLF++nFWrVnHr1i1eeeUVRo8ezaeffhq/FzcVianPPS7yOQ4LC8PR0dHWHp/PxiQr+LzxxhscOnSIHTt2xLrtk2/QyCcjujfu6NGjGTVqVJT2DRs22NatT0n+/jsLhrWqXVtEhIVFi/ZSsuQNk1KlPBs3bjQ7gqQx6nOS1NTnJKmpz0lSU59LOZycnPD19SU4OJiHDx9yL+we/tPM+dfqwP6BeDh7xGnbsLAw1qxZQ4YMGezaBw0axNtvvw3A22+/zYYNG+jRowdHjx6lffv21K1b13ahQf369e32nTBhAgULFuT333+nWLFizJs3j2vXrvHbb7/ZrhyKnCMoLCwMZ2dnLBaL7W/X6C5cuHXrFnfu3KF27dq2IVWtWrUCHl3wMG7cODp27EinTp0A6NGjBzt27GDs2LGULVvWdpwHDx4QFBTE/fuPinF3797FweHRoJ/IeXaDg4MJCQnBxcUFwJbLarUSFBSE1WolJCSEoKAgtmzZwqFDhzh48CD+/391wtSpU6lcuTIBAQGUKVOG0NBQrFYrkyZNIn369OTKlYu2bduyceNGhg0bFqfXKTV72pVODx8+5MGDB2zbto3w8HBbe+TrFxdJUvAZMGAAq1atYtu2bbaOEBNfX18uX75s13b16lWcnJzw9vaOsv3w4cMZMmSI7fegoCBy5sxJgwYN8PLySpgHkIRKlYIRIwys1v8VtxwdDTp1qqgrfOIgLCyMjRs3Ur9+fZydnc2OI2mA+pwkNfU5SWrqc5LU1OdSnpCQEP799188PT1xc3PD8aFj7DslEq/0Xni4xK3g4+zsTK1atZg6dSr37t3Dw8MDi8VC5syZ7f6WXLRoEaVLlyZ37txMmTIFD4//Hf/06dN89NFH7N27l+vXr9uu1rh58yZeXl4cP36cF198kdy5c0ebwdXVFUdHx6f+7erl5UXXrl1p06YN9erVo169erRt29Y2+uXkyZP07dvX7hg1a9bk66+/tmtzd3fHy8vLVsRJnz697fbIxxQ5NMvNzQ2LxRIll4ODA25ubnh5eXHhwgVy5sxJsWLFbLdXqFCBjBkzcuHCBWrVqoWrqyt58uQhR44ctm3y5MnDL7/8kiL/Xk8ohmHY5o2K6Yq0kJAQ3N3dqVGjBm5ubrb2yGJjXCRqwccwDAYMGMDy5csJCAggb968se5TuXJlVq9ebde2YcMGypUrF+0Hvqura7STajk7O6fIE0TevDBrFvTqHYFhdcTiYGXmTAfy5k15j8VMKfX1l5RLfU6SmvqcJDX1OUlq6nMpR0REBBaLBQcHBxwcHPB09SR4eLApWeIzpMtiseDp6UnBggUJCgrCy8vLdsXL4/bs2QM8KuLcvn2b9OnT225r0aIFOXPmZPbs2fj5+WG1WilRogTh4eE4ODjYiivRHTcyw9NujzRv3jwGDRrEunXr+OGHH/jwww/ZuHEjlSpVAsDR0THKMSJfk0iRr4+Tk1OU2yMiIuy2iWyPLtfj+z15H/CoDhCZx2Kx4OzsHCWH1WqN9TGnZpGFweiev0iPP3+PfxbG53MxUZ/h119/ne+++47FixeTPn16Ll++zOXLl3nw4IFtm+HDh9OlSxfb73379uX8+fMMGTKEo0eP8u233zJnzhzeeuutxIyarPToAe/+OBO61qLx1H706GF2IhERERERkbixWCx4uHiY8hPXYk9cnT59msGDBzN79mwqVapEly5dbH+s37hxg6NHj/LBBx9Qt25dihYtyq1bt+z2L1WqFAcPHuTmzZvRHt/FxcVWbInNiy++yPDhw9m1axclSpRg8eLFwKOVrZ+cOmXXrl0ULVo02uNEDguLnHgaHk3aHN9cxYoV48KFC/z777+2tn/++Yc7d+7EeN+StBK14DN9+nTu3LlDrVq1yJ49u+1n6dKltm0uXbrEhQsXbL/nzZuXtWvXEhAQQOnSpfnkk0/4+uuv09SS7AANyxSHvFv5696vZkcRERERERFJlUJDQ7l8+TJXrlyxXaBw/fp14NFVL507d6ZBgwZ0796duXPncvjwYb788ksAMmXKhLe3N7NmzeLUqVNs3rzZbroRgA4dOuDr60vLli3ZuXMnZ86cYdmyZezevRt4NLzp7NmzHDx4kOvXr9stSBTp7NmzDB8+nN27d3P+/Hk2bNjAiRMnbEWVt99+m3nz5jFjxgxOnjzJV199xc8//xzjRRMFChQgZ86cjBw5khMnTrBmzRrbY4qUJ08egoOD2bRpE9evX4923ph69epRqlQpOnXqxIEDB/j999/p0qULNWvWpFy5cvF8JSQxJGrB5/FZzx//6datm22befPmERAQYLdfzZo1OXDgAKGhoZw9e5a+ffsmZsxkqYxvOVi0lv/e/5t9Ry/FvoOIiIiIiIjEy7p168iRIwdFihQhR44cZM+enWrVqgHw2Wefce7cOWbNmgU8mm/2m2++4YMPPuDgwYM4ODjw/fff88cff1CiRAkGDx7M+PHj7Y7v4uLChg0byJYtG02aNKFkyZKMGTPGtupSmzZtaNSokW1C5iVLlkTJmC5dOo4dO0abNm0oVKgQvXv35o033qBPnz4AtGzZkkmTJjF+/HiKFy/OzJkzmTt3LrVq1Yr2MTs7O7NkyRKOHTvGCy+8wNixY6OsmFWlShX69u1L+/btyZo1K+PGjYtyHIvFwooVK8iUKRM1atSgXr165MuXz+4CDzGXxYhcAiuVCAoKIkOGDNy5cyfFTwKVLtcxHvxbhKFf7eGLwZXMjpMihIWFsXbtWpo0aaIx35Ik1OckqanPSVJTn5Okpj6X8oSEhHD27Fny5s1rN7lsShG5AlVMc/iIJLS49LmY3lfxqXmoNydj9fuvgT6loegKs6OIiIiIiIiISAqigk8y1rpRFsj+F79f2mV2FBERERERERFJQVTwScYq+T8axrX/4n7CIsJMTiMiIiIiIiIiKYUKPslYQe+CePzbggcbhrN61wmz44iIiIiIiIhICqGCTzLmYHHA7fcPYNuH/PDLdbPjiIiIiIiIiEgKoYJPMlex7mUoPZcbHprHR0RERERERETiRgWfZG7A607Q8jXOZ5prdhQRERERERERSSFU8EnmKuSoAMDJmye5cf+GyWlEREREREREJCVQwSeZy+yemcLehSE4K+sP/Wl2HBERERERERFJAVTwSQEcN06EL64yY5qT2VFERERERETk/40cOZLSpUs/93HmzZtHxowZn/s4CSkuj+3cuXNYLBYOHjwYr2NbLBZWrFjxzNkkblTwSQFeKJYOgDMXHpicREREREREJHW4evUqffr0IU+ePPj4+ODn50fDhg3ZvXt3ot5vnjx5mDhxol1b+/btOXHiRKLeb3y99dZbbNq0yfZ7t27daNmypXmBYrF161bKli2Lm5sb+fLlY8aMGU/d/saNGzRq1Ag/Pz9cXV3JmTMnb7zxBkFBQbZtQkJC6NatGyVLlsTJySnWx79z506cnJyiFMpmz55N9erVyZQpE5kyZaJBgwb88ccfz/pQ40yXjKQA/V/LyBIjI8EZwWrcxMGiOp2IiIiIiMjzaNOmDWFhYcydO5esWbNy//59tmzZws2bN5M8i7u7O+7u7kl+v0/j6emJp6en2THi5OzZszRp0oRevXrx3XffsXPnTvr370/WrFlp06ZNtPs4ODjQokULPv30U7JmzcqpU6d4/fXXuXnzJosXLwYgIiICd3d3Bg4cyLJly56a4c6dO3Tp0oW6dety5coVu9sCAgLo0KEDVapUwc3NjbFjx9K6dWsOHz5Mzpw5E+ZJiO4xJtqRJcFUyl+MdF5h3Am9w/Hrx82OIyIiIiIikigCA2HLlkf/TUy3b99mx44djB07ltq1a5MrVy4qVKjA8OHDadq0qW27Cxcu0KJFCzw9PfHy8qJdu3ZR/ph/XK1atXjzzTft2lq2bEm3bt1st58/f57BgwdjsViwWCxA9EO6pk+fTv78+XFxcaFw4cIsXLjQ7naLxcI333xDq1atSJcuHQULFmTVqlUxZps8eTIlS5a0/b5ixQosFgtTp061tTVs2JDhw4cD9kO6Ro4cyfz581m5cqUtd0BAgG2/M2fOULt2bdKlS8cLL7wQp6ukrl+/HufssZkxYwa5cuVi4sSJFC1alJ49e/Laa6/xxRdfxLhPpkyZ6NevH+XKlSN37tzUrVuX/v37s337dts2Hh4eTJ8+nV69euHr6/vUDH369KFjx45Urlw5ym2LFi2if//+lC5dmiJFijBr1iwMw7C7gioxqOCTAjg5OFHOrxwAewL3mJxGREREREQkdvfuPfoxjP+1PXz4qC00NOq206ZB7txQp86j/86a9ag9JCT641qt/2sLC4tftsirV1asWEHok2H+n2EYtGzZkps3b7J161Y2btzI6dOnad++ffzu7DE///wz/v7+fPzxx1y6dIlLly5Fu93y5csZNGgQQ4cO5fDhw/Tp04fu3buzZcsWu+1GjRpFu3btOHToEE2aNKFTp04xXqFUq1Ytjhw5wvXr14FHQ6CyZMnC1q1bAQgPD2fXrl3UrFkzyr5vvfUW7dq1o1GjRrbcVapUsd3+/vvv89Zbb3Hw4EEKFSpEhw4dCA8Pf+pzEVv2yNcopp/GjRvbtt29ezcNGjSwO37Dhg3Zv38/YXHsHBcvXuTnn3+O9vHHZu7cuZw+fZoRI0bEafv79+8TFhZG5syZ431f8aGCTwrhf7s9/LSIyWOymR1FREREREQkVp6ej37+v74AwPjxj9reeMN+2yxZ4PXX/1fEsVqhb99H2/boYb9tnjyP2o8e/V/bvHnxy+bk5MS8efOYP38+mTNnpmHDhrz//vscOnTIts1vv/3GoUOHWLx4MWXLlqVixYosXLiQrVu3sm/fvvjd4f/LnDkzjo6OpE+fHl9f3xivGvniiy/o1q0b/fv3p1ChQgwZMoTWrVtHuWKlW7dudOjQgQIFCvD5559z7949fv/992iPWaJECby9vW0FnoCAAIYOHWr7fd++fYSEhFCtWrUo+3p6euLu7o6rq6stt4uLi+32t956i6ZNm1KoUCFGjRrF+fPnOXXq1FOfi9iyHzx48Kk/33zzjW3by5cv4+PjY3d8Hx8fwsPDbQWumHTo0IF06dKRI0cOvLy87I4bFydPnuTdd99l0aJFODnFbdac4cOHkz17durVqxev+4ovFXxSiJyOZeBwR47uLGh2FBERERERkQT1+FVAT2tLSG3atOHixYusWLGCunXrsnXrVsqUKcO8/68eHT16lJw5c9rNsVKsWDEyZszI0cerTYng6NGjVK1a1a6tatWqUe63VKlStv/38PAgffr0XL16NdpjWiwWatSoQUBAALdv3+bIkSP07duXiIgIjh49SkBAAGXKlHmmeXsez5E9e3aAGHPENXuBAgWe+pMjR44oj+9xxv93oCfbnzRhwgQOHDjAihUrOH36NEOGDHnq9o+LiIigY8eOjBo1ikKFCsVpn3HjxvH999+zYMEC3Nzc4nxfz0KTNqcQnZrlYezyDwjNtZe7oT+T3jW92ZFERERERERiFBz86L/p0v2v7e234c034ckLIQ4dgqJF7YdpOTrCP/9Arlz225479+i/j89x/P9T5MSbm5sb9evXp2LFinz66af07t2bESNG0K1bNwzDiLZYEFM7PJoI2HiiUhXXIUVPiq6A8WSbs7NzlH2sjz+JT6hVqxazZs1i+/btvPDCC2TMmJEaNWqwdetWAgICqFWr1jNlfTxHZMan5YhL9tgKT9WrV+fXX38FwNfXl8uXL9vdfvXqVZycnPD29n7qcSKvWCpSpAje3t5Ur16dDz/80Fa4epq7d++yf/9+/vzzT974/8vWrFYrhmHg5OTEhg0bqFOnjm37L774gs8//5wNGzbEuUD0PFTwSSFK5vUl10sLuXDnAvsv7qd23tpmRxIREREREYmRh0fUNheXRz9PKlTo0Zw9ffpARMSjYs/MmY/a43LcJ2oHz6xYsWKsWLHC9v8XLlzg33//tV3l888//3Dnzh2KFi0a7f5Zs2a1m5cnIiKCw4cPU7v2//5+c3FxISIi4qk5ihYtyo4dO+jSpYutbdeuXTHeb1zVqlWLQYMG8dNPP9mKOzVr1uS3335j165dDBo0KMZ945I7IR08ePCptz++qlnlypVZvXq13e0bNmygXLlyUQpLTxNZrItpXqcneXl58ffff9u1TZs2jc2bN/PTTz+RN29eW/v48eP59NNPWb9+PeXKlbNb/j2xqOCTglTyr8SFOxfYE7hHBR8REREREUlVevSAhg3h1CkoUAD8/RPvvm7cuEHbtm157bXXKFGiBBaLhWPHjjFu3DhatGgBQL169ShVqhSdOnVi4sSJhIeH079/f2rWrEm5cuWiPW6dOnUYMmQIa9asIX/+/EyYMIHbt2/bbZMnTx62bdvGK6+8gqurK1myZIlynLfffpt27dpRpkwZ6taty+rVq/n555/57bffnutxR87js2jRIlauXAk8KgINHToUINr5ex7PvX79eo4fP463tzcZMmR4riyxKVCgQJy37du3L1OmTGHIkCH06tWL3bt3M2fOHJYsWWLbZvny5QwfPpxjx44BsHbtWq5cuUL58uXx9PTkn3/+YdiwYVStWpU8efLY9vvnn394+PAhN2/e5O7du7ZCVOnSpXFwcKBEiRJ2WbJly4abm5td+7hx4/jwww9ZvHgxefLk4fLly9y9excHBwe8vLye4dmJGxV8UpBy2arww/pzLF9pZXh1s9OIiIiIiIgkLH//xC30RPL09KRixYpMmDCB06dPExYWRs6cOenVqxfvvfce8GiI0YoVKxgwYAA1atTAwcGBRo0aMXny5BiP+9prr/HXX3/RpUsXnJycGDx4sN3VPQAff/wxffr0IX/+/ISGhkYZAgaPlnKfNGkS48ePZ+DAgeTNm5e5c+c+85CrSBaLhZo1a7JixQqqV3/0R2WpUqXIkCED+fLle2rxoVevXgQEBFCuXDmCg4PZsmWLXWHETHnz5mXt2rUMHjyYqVOn4ufnx9dff02bNm1s29y5c4fjx4/bfnd3d2f27NkMHjyY0NBQcubMSevWrXn33Xftjt2kSRPOnz9v+/3FF18EiPZ1i8m0adN4+PAhL7/8sl37Rx99xKhRo+L1WOPDYsQnZQoQFBREhgwZuHPnTqJWyswwe+Xf9G5ZEovHdcKDvHFwePrkU2lRWFgYa9eupUmTJvG6dE/kWanPSVJTn5Okpj4nSU19LuUJCQnh7Nmz5M2bN9EnoU0MVquVoKAgvLy8cHDQukaS+OLS52J6X8Wn5qHenIK0q1cQvAIxcuzmn/8umB1HRERERERERJIpFXxSkAwebpT/og10fInDd3abHUdEREREREREkikVfFKYSv4VAdgTuMfkJCIiIiIiIiKSXKngk8JU8q8EwK5z+0xOIiIiIiIiIiLJlVbpSmGKe1WG2XvYd604tzuFkjG9q9mRRERERERERCSZ0RU+KUzJnHmw3MkLDz35cfNJs+OIiIiIiIgA8VumWkSezmq1PvcxdIVPCuPgYKHy4AnsurOU4GwDgRJmRxIRERERkTTM2dkZi8XCtWvXyJo1KxaLxexI8WK1Wnn48CEhISFall2SxNP6nGEYPHz4kGvXruHg4ICLi8sz348KPilQ0/rp2bX5LHv/08TNIiIiIiJiLkdHR/z9/QkMDOTcuXNmx4k3wzB48OAB7u7uKa5YJSlTXPpcunTpyJUr13MVIVXwSYEiJ27WSl0iIiIiIpIceHp6UrBgQcLCwsyOEm9hYWFs27aNGjVq4OzsbHYcSQNi63OOjo44OTk9dwFSBZ8UqLxfeTjcnvMXqnCo+VVK5c9mdiQREREREUnjHB0dcXR0NDtGvDk6OhIeHo6bm5sKPpIkkqrPaYBiCpTeNT1uu0fB7wNZsvac2XFEREREREREJJlRwSeFKlXvMFScyBVnDesSEREREREREXsq+KRQvQfehsaDOeu+3OwoIiIiIiIiIpLMqOCTQkVO3Lzvv32EW8NNTiMiIiIiIiIiyYkKPilU0axFSe/ixb0rPuw8dszsOCIiIiIiIiKSjKjgk0I5WBxwX74avj7NzAW3zI4jIiIiIiIiIsmICj4pWOEiEeAYytHzN8yOIiIiIiIiIiLJiJPZAeTZvTHoIdtzexHimw9oaXYcEREREREREUkmdIVPClanaFlwesix68e49UDDukRERERERETkERV8UrAs6bJQIHMBAPZd3GdyGhERERERERFJLlTwSeFyXOwHi1bz5ZdmJxERERERERGR5EJz+KRwvtYycLIWB9z+MDuKiIiIiIiIiCQTusInhevQwhsaDSS01lAMwzA7joiIiIiIiIgkAyr4pHBNKhbBrdps7npv5eTNk2bHEREREREREZFkQAWfFM7Z0Zmy2csCsCdwj8lpRERERERERCQ5UMEnFSiTuSacqs/S5cFmRxERERERERGRZCBRCz7btm2jefPm+Pn5YbFYWLFixVO3DwgIwGKxRPk5duxYYsZM8VwvNIXvNrD5m3pmRxERERERERGRZCBRCz737t3jhRdeYMqUKfHa7/jx41y6dMn2U7BgwURKmDq80igPZDpNaJa9BIfeNzuOiIiIiIiIiJgsUZdlb9y4MY0bN473ftmyZSNjxowJHyiVKlvIjxwf+PPf3f/483IequeubnYkERERERERETFRohZ8ntWLL75ISEgIxYoV44MPPqB27doxbhsaGkpoaKjt96CgIADCwsIICwtL9KzJRQW/Ciw/vpydF3ZSya+S2XFME/map6XXXsylPidJTX1Okpr6nCQ19TlJaupzktSep8/FZx+LYRhGvO/hGVgsFpYvX07Lli1j3Ob48eNs27aNsmXLEhoaysKFC5kxYwYBAQHUqFEj2n1GjhzJqFGjorQvXryYdOnSJVT8ZG/F1RXMuziPCu41ea/wYLPjiIiIiIiIiEgCu3//Ph07duTOnTt4eXk9ddtkVfCJTvPmzbFYLKxatSra26O7widnzpxcv3491gefmvy48w86tc2AQ6g3969lxMHBYnYkU4SFhbFx40bq16+Ps7Oz2XEkDVCfk6SmPidJTX1Okpr6nCQ19TlJas/T54KCgsiSJUucCj7JckjX4ypVqsR3330X4+2urq64urpGaXd2dk5Tb9ZGZUvBLSesES78efIilUr4mR3JVGnt9Rfzqc9JUlOfk6SmPidJTX1Okpr6nCS1Z+lz8dk+UVfpSgh//vkn2bNnNztGspc5fToKDe4Hb2fhX8tOs+OIiIiIiIiIiIkS9Qqf4OBgTp06Zfv97NmzHDx4kMyZM5MrVy6GDx/Of//9x4IFCwCYOHEiefLkoXjx4jx8+JDvvvuOZcuWsWzZssSMmWrUq+XGif032BO4h7bF25odR0RERERERERMkqgFn/3799utsDVkyBAAunbtyrx587h06RIXLlyw3f7w4UPeeust/vvvP9zd3SlevDhr1qyhSZMmiRkz1ajkX4lp+6ex5789ZkcRERERERERERMlasGnVq1aPG1O6Hnz5tn9PmzYMIYNG5aYkVK1cr6VYF8f9qysQlD7h3h5uJgdSURERERERERMkOzn8JG4K5y1AJaAT7D+2YWfNp2KfQcRERERERERSZWS/SpdEncODhbyN9jIqRunuBCRByhmdiQRERERERERMYGu8Ellugw6DXVGcMrYYHYUERERERERETGJCj6pTCX/SgDsCdTEzSIiIiIiIiJplQo+qUyFHBUgwonT/6TnzKXrZscREREREREREROo4JPKZHDLgNuCAzDzT+YsP2t2HBERERERERExgQo+qVCuQjfB9TYHTweaHUVERERERERETKCCTyr0+gdn4J3MhL4w1ewoIiIiIiIiImICFXxSoVqFy4KDwe///U6ENcLsOCIiIiIiIiKSxFTwSYWKZy2Oh7MHdx/e5ej1o2bHEREREREREZEkpoJPKuTo4Ij/qZHw7Ta+nHbD7DgiIiIiIiIiksRU8EmlsoSVgQvV2bnd2ewoIiIiIiIiIpLEnMwOIImjXVsLO4O7wotXgV/NjiMiIiIiIiIiSUhX+KRS7esUg9ILOGWsJyg0yOw4IiIiIiIiIpKEVPBJpXw8fcibMS8GBvv+22d2HBERERERERFJQir4pGKl0zeAI21YuPyK2VFEREREREREJAmp4JOKOR5tDz/+xNoFhc2OIiIiIiIiIiJJSAWfVOylelnA9wDBmXdiGIbZcUREREREREQkiajgk4q1q1sIl9cr86DWIM7cOmN2HBERERERERFJIir4pGKuTq6UyV4GgD2Be0xOIyIiIiIiIiJJRQWfVK5SjkpgwLYTB82OIiIiIiIiIiJJRAWfVM77RlP4KpCFg3uZHUVEREREREREkogKPqlcgzJF4G4OHlzOxc2gB2bHEREREREREZEkoIJPKle+SA4yv9EchmXm2J0/zY4jIiIiIiIiIklABZ9UzmKxUKOaE7g80MTNIiIiIiIiImmECj5pQKUclQCt1CUiIiIiIiKSVqjgkwaUyFAFdrzNmvFtMQyz04iIiIiIiIhIYnMyO4Akvgq5XoTNlbhvdeb3I5epWMLX7EgiIiIiIiIikoh0hU8akDWDJ1nrLoL6b/HP7T/MjiMiIiIiIiIiiUwFnzSi9cA9UPVLjj7YanYUEREREREREUlkKvikEZX8NXGziIiIiIiISFqhgk8aUcm/EoR6sHeHO/cehJsdR0REREREREQSkQo+aUTBzIWwTDnFw2/Xs2zzabPjiIiIiIiIiEgiUsEnjXB0cCBL/nPgdYE9J06ZHUdEREREREREEpEKPmlIrzG/wZDc3Mv7g9lRRERERERERCQRqeCThlTPXw7QxM0iIiIiIiIiqZ0KPmlIhRwVADhx4wQ37t8wOY2IiIiIiIiIJBYVfNKQzO6Z8d7/FUw/yOSF58yOIyIiIiIiIiKJRAWfNCZTyItw5QV+23rf7CgiIiIiIiIikkhU8EljWne6Ae1b4VR1itlRRERERERERCSRqOCTxrzSMB8UXcHBu+uxGlaz44iIiIiIiIhIIlDBJ40p6VMSdyd37oTe4cSNE2bHEREREREREZFEoIJPGuPk4EQJl+ZwoDvzV541O46IiIiIiIiIJAIVfNIgp4O9YdW3/Lwkg9lRRERERERERCQRqOCTBtWv7Qa5AwjOtNPsKCIiIiIiIiKSCFTwSYP6tM8LrV/lkuc6jp+5Z3YcEREREREREUlgKvikQb/+4AcTz2PM20SxgumYM8fsRCIiIiIiIiKSkBK14LNt2zaaN2+On58fFouFFStWxLrP1q1bKVu2LG5ubuTLl48ZM2YkZsQ0JzAQevcGDEcArFYLffo8ahcRERERERGR1CFRCz737t3jhRdeYMqUKXHa/uzZszRp0oTq1avz559/8t577zFw4ECWLVuWmDHTlJMnwWq1b4uIgFOnzMkjIiIiIiIiIgnPKTEP3rhxYxo3bhzn7WfMmEGuXLmYOHEiAEWLFmX//v188cUXtGnTJpFSpi0FC4KDg33Rx8HRoEABi3mhREQkWQoMfPQPBQULgr+/2WlEREQkJjpnS3SS1Rw+u3fvpkGDBnZtDRs2ZP/+/YSFhZmUKnXx94dZs8DR8f8bLOF0eDdAHwoiImITbg1n9NdXyZXboE4dyJ3b0HxvIiIiyZBhGHwx5Ra5dc6WaCTqFT7xdfnyZXx8fOzafHx8CA8P5/r162TPnj3KPqGhoYSGhtp+DwoKAiAsLExFohh06QJ16sDo1T8y+9wwrhQqSlhYNbNjJYjI11yvvSQV9TlJagnV5wzDIDDoP07fOsXJmyfZfeAum7+ryD2ucK/yu4R/dQqMR1d/Wq0WevayQr6NtKtUBTcnt+d+HJJy6HNOkpr6nCS15N7nDMPgavANzt45xYmbJzh58yQ/f12Z/47mJKLaSEIXLLc/Z/e0cs9/BR2r1CCDWwaT00t0nqfPxWefZFXwAbBY7IcWGYYRbXuk0aNHM2rUqCjtGzZsIF26dAkfMBV50fcO3PqPLWcvs3TlD6R39jQ7UoLZuHGj2REkjVGfk6S2ZMl2Ll3yJHv2YLJkCYl2G8MwuH7/PieuBhHi9Q+XHl7iYshFDn3fn+DD9aHJ21D8/+fJu1gGdr0DHlegYB7b5P7/O5gDPeeP5o0deyke3oScQY1pUdGTTO7uiftAJdnQ55wkNfU5SWqJ2eeuX3eL9bx9NzSEI4H3uOd2luuOp7kYepHT//jz3/efY3hdgB41/rfx3wFwvgz4VYh6zsaBQUu+Zuje9pTyLIX/pc40LJGVHBlTz997qcWz9Ln79+/HedtkVfDx9fXl8uXLdm1Xr17FyckJb2/vaPcZPnw4Q4YMsf0eFBREzpw5adCgAV5eXomaNzX4dM15Lm5qxZYeEcz4oLzZcZ5bWFgYGzdupH79+jg7O5sdR9IA9TlJamFhYQwbdpzp00tjtVpwcDD46ut75HrhFNv/uMXDTIe45fE7J2+e5Ojf7gRP3grp/4Oh/f53kJDecC8bDjeLkC9zAQplLkTuksW56LyTF4qlo361edRcaGC1/u8fWywOEfjkusdlawh/7CjCH5t7srLoChoMn06Lwi1oXrA5Pp4+0SSWlE6fc5LU1OckqSV2n5s710K/fo628/awj//DxecsZ65cw6XEGk7dfHS17aWvl8KF6vByeyjxw//v/QLcyQVh7uT0yknBzAUpmLkgD91ukMlxPxVKdKRj0yfO2RYrefMbnLGGc+DaSQ5M6Mcqw0KZMe1oV6kyLQq3IH+m/An+OCXunqfPRY5qiotkVfCpXLkyq1evtmvbsGED5cqVi/FJcHV1xdXVNUq7s7OzThBxUNCpLhf/q8ja1QdwHpV6ni+9/pLU1OckqQQGwrRppTEeu3T7zQFuUPgMHGsN9X6FaosfbZwuIwAOER7UyNGIotnzUsi7EK7l85Dd7QI1y44gU4ZP/3fw1v/731mzoE+fRys5OjrCzJmOdH9tL/sv7mf4pWtsO3CZ8AK/sP7MetafWU//lW+Tac066jS8z2dD81M4m75Ipjb6nJOkpj4nSS0x+lxgIPTta9idt8d8mB0Mf/C4DG8/tjhR5lNwqQz53ctRo7QHBTMXJI9nEcKbnaZGmezk9rvwv22b/+9/g6Ocsx3o0WMrx64fY/ovO5iV9SIhYaEcuL+SA5tX8u7md8l+9BOKZyzP0F45aFimeIwjaiRxPUufi8/2iVrwCQ4O5tRj632fPXuWgwcPkjlzZnLlysXw4cP577//WLBgAQB9+/ZlypQpDBkyhF69erF7927mzJnDkiVLEjNmmvZmD1+2Xu1NUInNhIQf1rwMIiLJ3NLfTmEYRe0bDSfcMtzFMdcJShUszkt1R1PIuxAFMxck05sP8PfNCPwar/vp0QMaNoRTp6BAgcgVPxyokKMCm2aAdRocufIWv5zKz/Jjy9n3W05u/VWNZRdOs8y9ACV8StCqSCvq52hDtYKl9EVSRETSnHO3z1Gt3QUMo4b9DYYjzpkuky3/f3SrMpKiPgUo5F0IvzcK4pfZA4vlbfvtX3z6/UR/zoYiWYowqVsRJnWDw+f/Y+uVKSw/tpwtZwO4tL4Tl27n5bdbrcld+QAti7SkeYFW1MxbDSfHJ4eISUqVqAWf/fv3U7t2bdvvkUOvunbtyrx587h06RIXLvyvSpk3b17Wrl3L4MGDmTp1Kn5+fnz99ddakj0Rtahcghy11/Lf3f/YdGYTTQs1NTuSiIhE49q9a7y36T2++Wc9cB74XwHF0dHg5E9d//8LXqEEu09//5iXdnVwgJLZi1Ay+3CGVx/OnsqX+Nx7N8fv7ue0gyOHrx7m8JXDfDL5VZxdj/PKiJX0bFSZqjmr4uigL5IiIpJ6PQh7wPhd4xm9YzQhWToC1XnyvH3mkC/+/r5A2QS5z6edswFK5M5Bidyv83qF17kSdJNhISdZ/+st7hTZxvk7N5i0dxKTpt3DYUceyrfZyftvpad+/vq6ICCFS9SCT61atWyTLkdn3rx5Udpq1qzJgQMHEjGVPM5isdCySEum7pvKimMrVPAREUlmwsIj6PfFBn4yXuXOw5uQEfI2mcv5dd2xWi3/f+m25alf8pJCpRLZWTUtO1CZmw868cuJX1i8fSfrb+cjzBLBwvOfsnBeMFnSZaESg6jqV4cBL5fh1jU3Tp6EggWf/kVVREQkuTMMg0/n72ba/slczvo9ALVan6VE8atMH+/z2JArc8/bPl6ZmT+6IoyG+2EX2Hh6I8uPLWfxD60Ju5WbvWdm8tL3o/Fw9qBR/qbkvd6XoZ1eJDw4o87ZKUyymsNHzNG8QCumLgjku19r8HWDCNzd9C+vIiLJwY7zO2nSFO4eaQzN2lC62T4m1p/I7dK3KTUlnPPnne0u3U4uMrtnpssLXejyQhcC295nzpo/OZO5NauPr+b6/ev8sqQkvxyvwgefryTiaHMwHHBweDRvUI8eZqcXERGJv1M3T/Hy+yv4a8ZbkDkrfu/s5asmo2lXvB0Wi4V3Xo865Co5SOecjhZFWtCiSAu+rhfOxEWHOOPqzKZb/gQGBbJs/UWYW5sv3r4BIRFgOOqcnYKo4CPUzFMDy5oShAT7MHPZYd7sVMLsSCIiadrl4Mu889s7LPhrAeQcACdL8UrxTnzXazrWCCtr/16Lvz/kzWt20tj5+6RjxGtVgaqERYSx7fw2Bu115cj5O0QcbQaGAwBWK/TpY9CwoflXK4mIiMTVvYf3GL1jNON3jedhRlfwak/ZGtf4pechfDP/bxn02IZcJQdenk581KcUUArDGMkfl/5gzOzjrPC6QkRQVkDn7JTGwewAYj43F2dKNNkFlSZw6MFas+OIiKRZIQ/DaPvOb+R/rxUL/lqABQs9+jzk738esmRMzRQ/942zozN189Xl8NpqrF/pBYb944mIsLBjX9yXGhURETGLYRi8P3MH2RvP47Ptn/Ew4iENilfmwKEH7F9exa7YkxJZLBbK+ZXjpxGd2LDchydLBxERFn7ecMmccBJnKvgIACNGWKHRELbdn/XUeZdERCRxbDm7hZzN5vPTuHrcXzmO8n4V2NtzL9+0nEGJ/N5mx0twxYpZcIjmW8jrP45g97+7kz6QiIhIHB29dpRqX3bj875VuLv5dXyut+Xndj+zrtM6XsydcIsnJBeFChHtOXvwpydZenhp0geSOFPBRwBoWKAhro6unL51miPXjpgdR0QkzQgMCuSVn16hzoI6XC/+MQ5el+jQ3omd3XdTPkd5s+MlGn//R+P/I1d+dXAw8Ci5gZuFJ1JjXg3G7xyP1bCaG1JEROQxQSF3GbZxGKVmlGLXvQU4VppOpbY7OThyHq2KtsJiscR+kBQounO2e/ZzWJt345Vlr9D3l748CHtgbkiJlgo+AoCniyf189eHa4WZ8L1WSRMRSWz3Qx/y0pu/ke/lb1h6ZCkOFgder/8S/11wZfG4yjg7pf5TdI8ecO4cbNkC589buLivEq+UeIVwazjD1nxMgaYrOXv5htkxRUQkjbNaDYZM2kaWgmcZv/Fbwq3hNC/UnGO/NGL3D1Xx9U5ndsRE9+Q5OyjQn/dbdMSChZl/zKTYoHcI+OuM2THlCan/26TEWe6Lg2DqMRaPqWZ2FBGRVG3D6Q0UGtKX1ZPqEbbpPcq4tuWP3n8wpckUfDNkNjtekvL3h1q1Hv3Xy9WLxa0XM7PZTBx+nc7ZX1tRtMZRdl7YaXZMERFJo/6+8je15tVhwmgvwgJLkeGP0fzS4RdWdVhFAe/8ZsdLUo+fs50cnPi0zqese3Udme7U4NzssdSunJGvflltdkx5jAo+YjO4Q2lwCSbE4zjHLwaaHUdEJNU5c/McrZe2puF3Dfkv61zcyvxI9/cOsPetpZT2LW12vGTBYrHQu2xv5n5SEecsFwitPoya82oyZscYDfESEZEk89+N2wxaO5gXZ77I9n8DcGk+lBqv7uD0z51pWqip2fGSjQb5G7C2+w+kz3kOcuxh6L4W9F7dW0O8kgkVfMQmv18WqnzdEl5twsbAFWbHERFJNYLuh9Cg30YKlLjN8r/X4mhxZHDlwVze2YBvP6mEk1PqHPP/PLo0K8jls5no1DQfEUYEwzcNp/rnAzl98brZ0UREJBWzGlYGfrWFXPnv8fXsG0QYEbQp2oYT479l68JqeGdwMztislOppA9X/inEsK/+wuIAsw/MpsKsymz9+5TZ0dI8FXzETptSTQBYcWyFuUFERFK4wMBH49znbt3IC1MqsHFRMYxLpSl08RP+6vsXXzX8igxuGcyOmaxl9kzPwlYL+ab5N7g+yM2u0R9QuFQwi7f+bnY0ERFJRQID4e+/s7Duz8NU+7Yak3/9FeudHLj9NZh1ndbzU7ufyJ0xt9kxkzV3N0fGNh/Ohs4b8PHw4fCy5tSq4M2QrwPMjpamqeAjdloUbgHAlhN7Cbxx0+Q0IiIp05w5kDu3QZ068FrtOpzbWZ7MbT6i36d7+Wf2WxTPVtzsiCmGxWKhR5keLGq4ESfXCCIc7/Lqxjp8tu0zDfESEZHnNmcOFCjgxIcfVuWlSqXYvaoo6arPptnATVw+VJyGBRqYHTFFqZevHvt7HiTDv+0hJBMTtnxLj5U9uB923+xoaZIKPmInf+b8ZN09G+vYK3w48YTZcUREUpzAQOjVy8Bq/f9hWoYjll9ms+vDr5n2fkUcHTV861m0qV2QM/9koNWo+RjO9/hgywc0+q4R569fNTuaiIikUIGB0Kv3k+fsWQS0/YfVk+qSwdPF3IAplH9GXy79XZSXP1yGpfR3fHvwWyrMrsCRq/+YHS3NUcFHoiiZMzeEp2Pz1hCzo4iIpDizNm7BMOyLOobVgUsXPExKlHrk9PHk575fMLfFXNyd3Nm40pv8hUKYvuIPs6OJiEgKtGbPCQzrk+dsR+5dyW5SotTD3c2RHz9uw6Yum/D19OXIxVOUqnyNAV9uMTtamqKCj0Txzuu+0Kc01xo21ezqIiLxsPjvxXx6uCtYIuzaHR2hQAGTQqVC3Up3Y2+PfbjuGUHErVz0n7iWj7d+TIQ1IvadRUREgP0X9zPsQCudsxNZ7by1OdjnIAVPT8J6piZTPipOx8V9uffwntnR0gQVfCSK+i+UIFeRWzwIv89vZ34zO46ISIrwxeoVdF7eGcPrX6r1X4CjowE8+uI4cyb4+5scMJUp6Vuc0wdyUvqVFVBjFCMCRtDwu4ZcDr5sdjQREUnmFqz7mzqTuxDk+g8Fuo577Jxt6JydCHw8fTg0ryfVXtmFpU1XlpycSfnZ5Tly9YjZ0VI9FXwkCovFQsvCLQGt1iUiEhd9Rm/l7RbNsO7tS68yvdg6uSvnzlnYsgXOnYMePcxOmDrlyObBn0taMr/Nt6RzTsemM5vI1+BXJi/bZ3Y0ERFJpr5d8xddW/lzd9YKKnq15MCMNzh5MpxPPtnByZPhOmcnEjdXR7YvqcKWj9/FL70fR68fpeyIfvQbtxnDMMyOl2qp4CPRapS7Nfz2GQsG9Ofeg3Cz44iIJFvfHPiGWb/uAMOJouEdmN50Bg4WB/z9oVYt/SthUujyQhf299qP38mRPNjdnYEdizBs5RgN8RIRETs7LuxgwLZXwO02Xt6hLO/8Held0+PvDyVL3tA5OwnUzFOTg30OUse3NaHfz2fGO3WoOmAOwQ+DzY6WKqngI9GqW6gqlr+6E/5vWab/eNTsOCIiydLM/TPptboX1PmAxu9/w99rq+LooFOrGYpmLcr+SW+Tt+o+qPcu4w8Op97Cevxx7ApbtjxaiUVERNKubee30ei7RtxPd4yqH73PiT35yZ5FCyqYIatHVtZ2/5GaTS9B5lPsTj+U8rPLs/HPozpnJzB9K5VouTg5UanLWmjTgbOei82OIyKS7Lw5Yzl9V/d79P+V3mTNJz205LrJsmdJx+nt5Vn4eRU8nD0I+Dkf5YploU4dyJ0b5swxO6GIiJhh0tIDNBj9EffC7tEgfwM2vjEHn8zpzI6Vprm6OBDwXRU27LxKjqzpObahCg3KFvr/c7ahc3YCUcFHYvT265mh5Pf8+u9SjasUEXlMu3c2MalfK/hlBkMrvs1XDb/CYlGxJzmwWODVFzqxptlfsHoWGI4AWK3Qp4/+1VBEJK2ZumIvb3YuTOi8lVR17cPKV1bi7uxudiz5f/WLVGFt80OwevZj52yLztkJRAUfiVHDAg1xd3Ln7O2z/H31b7PjiIgkC1/t/oofT80BSwTl8xZjXIOxKvYkQ9Yb+W1fHCNFRMCpUyYFEhGRJLf+1HqG/tkE/PaTpdBpVr8+ETcnN7NjyRNuBGYGw740oXN2wlDBR2KUzjkdtXxawV+v8vFkvdtERMbtHMfQDUOh1BJ6TJvFnh+q4uCgYk9yVLAgRJlOyRLOXY8/TckjIiJJa+3JtbT4vgWhDjdpMnIap3YVJ1N6FXuSo5jO2X+HLTclT2qigo88Ve4bvWD5Qn75pgwa1SUiaVn7j1bwzpqPARhZcyTf9O2nYk8y5u8Ps2aBY+RFPg4R0LwPXZf1ZtOB06ZmExGRxDXqm728NPwHQiNCaVWkFcs7LySDp6vZsSQGT56zLQ5WaN6HoXvas2TXVnPDpXAq+MhTDetaErL/QWjhBZy6fs7sOCIipmj0xnp++KQlLFrLiGqfMaLWCLMjSRz06AHnzsGWLXDsZAjFXnjArSm/0KgRHD532ex4IiKSCCat3MLIvqWJ+HkONYyPWPryUlwcXcyOJbF4/Jx97hy073yfsA2j6Fi3FN9vPmx2vBRLBR95qry+3tT8fCjUGcHa0yvNjiMikqQMw+CjLR+x/uEH4HqHuvVgZN33zI4l8eDvD7VqQeF8Hizu/DVOLuGEOwbRbmlHbofcNjueiIgkoJ+P/szQgw3hhfn4V9jPuuEf4uzobHYsiaPIc3aunA7MajyPDFdegpBM9Pr6O07eOGl2vBRJBR+JVcsiLQFYcXyFqTlERJKSYRh8sPkDPtn2CeTYz/tLF/HbnBpmx5Ln8ELBLGzYaCXb6+05GrKFFt+3ICQ8xOxYIiKSAH488iPtfmxHBGF0GL6Nk9vK4u7qZHYseUZeHq78tTUXeXu9S/CLY2n4XUMuB+vq3PhSwUdi1bJISzBg6677nLhw0+w4IiKJzmo1qNNnLZ+vXgTAVw2+4tMW/U1OJQmhdtmcrO/5A16uXmw7v43mk94lLDzC7FgiIvIcBn25g/Z9zxJhjaBzqc4sbD0fNxcVe1K63NnTs/urweTPlJ+zt8/ScH5TLt+6Y3asFEUFH4lVnox5yLBiE8asvXw644TZcUREEpVhGNTpu4qA2U1h/hbG15jO4MqDzY4lCai0b2lWvrISp2Pt+O2dsZRvtxlDKxOIiKRIX61dwdfDKmLsGEate9OY22Iujg6Ose8oKYKPpw/rX11PVpdcHJr8IcVr/0Pwg1CzY6UYKvhInFSoFAEud9l/Rsuzi0jqZRgGb657k63p+0HmE7TtEchbtfuaHUsSQa08tehbaihEuPLX0buM3Pyp2ZFERCSe5h+cz1v7WkOjNylYZycbRvdRsScVyp85P5PKroczDbh5+EVaTBxBhFVX58aFrnOTOBn5li8bs2TlnLsD98Nak845ndmRREQSlNWwMmDtAKbtnwZeMHnVdt6o2sPsWJKIJg+vAJ6rmXK9LR/vsOKXIRt9yvUxO5aIiMTBnAPf0mt1TwwM+vSLYGqTyjg66HqG1KpDgyKcnf4XH+0azOaHWxi0LpjJjSdjsVjMjpas6R0hcVI5fwnyZM3Og/AHbDi9wew4IiIJKsJq5cU2vzHtp7+xYGHOS3NU7EkjJg9ozoe13geg/9r+zNn6q8mJREQkNl0/2krPDlkxwp15vfzrTG86XcWeNOC9Hi+weEhfLFiYum8qn2wZbXakZE/vCokTi8VCy8ItAVh2aI25YUREEpDVsFKj/xIOLW8AS1bzdY3FvPbia2bHkiQ0qtYoer7YC2vAe/RsUJ2ZK/80O5KIiMRg7Lp5LBhTFk40p86dBbrKI41pV7wdkxpNgqDsjOjUmF6fbzY7UrKmgo/EWR3ftjB/I4u6jSP4frjZcUREnluENYIeq3qwK0tPKLCeXu8f4Y3ar5gdS5KYxWJhcqNpZL3eBh56Mmj6Sv6+8rfZsURE5AmT907m3b3doUMLyr28hY0T26nYkwYNqDiAGjcXwOUX+WZcfn469IvZkZItFXwkzhqWqIDDzWIYDzIxa8Vhs+OIiDyzwED47bcI2s0ZwryD83B0CWPxz7eY9WEVs6OJSdxcnDgcUJjCvUcSWnkUDb9ryLnb58yOJSKS5gUGwpYt8P6P3zJw3UAA3n61LL//UAsHBxV70qrN39SlZMtfoWttOq9uy84LO82OlCyp4CNx5uLkRP0hi2FAAS5knmd2HBGRZzJnDuTObVC/viM/956A5UBPlrRZQoeSurInrcuW2Z3dEwdRPGtxLgVfosGCRpy7et3sWCIiadajczbUqQOft+sOu99keLXhjK03Vlf2pHGOjhYOLKtP80olCAkPodmSZhy+csTsWMmOCj4SL/3bFwLv0yw/thzDMMyOIyISL4GB0Lu3gdUa+SXRAcsvs6icoa2puST5yOSeiXWvrsM/XX5OzhpJqernuRF0z+xYIiJpzqNzNlitkS0W2PAl/Qp9pmKPAODk4MT3L39PlZxVuH0mL2UrPmD/iUCzYyUrKvhIvNTPV590zum4cOcCBy8fNDuOiEi8nDzJY8WeR6xWC6dOmRRIkiV/L39mVF0Pp5py91RJmowbRVhEmNmxRETSlEfn7CcaDQdOn1axR/4nnXM6Vr2yGrdfv+Ph+XLU7byfG/dvmB0r2VDBR+LF3dmdSs69YO3XvD3ymtlxRETi5ZLzNrBE2LU5OkKBAiYFkmSraZX8TFnwLy5dWvO783h6rOqB1XjyLw8REUksrlkv6JwtceKdLjMbVmXE/cWVBNXpQrMlzbj3UFfnggo+8gyKWVrC7wPYvrwIGtUlIinFrr8D6fXZVmjWB4vDoy+Qjo4wcyb4+5scTpKl19sV4+fh/XC0OLLw0ELeXvee2ZFERNKEW3cf0OTVU1BtNOicLXFQvbQf+9cXJFNGJ/YE7qH9T+11dS4q+MgzeLtrKSxlvuFhvf6cvnnG7DgiIrEKDgmh/kt3uL/uQ3xCanLidBhbtsC5c9Cjh9npJDlrWqgp37z0DdzLwlc9W9P2nY1mRxIRSdUMw6Dmaxu581cdHA69xrb9V3TOljgplrUYv3T8BXcnd9ascKN0681YrWn7CgUVfCTecmXNTO1BS6DwGlafWGl2HBGRWA3ZOJD7pcfikOE/fvqiNgXyuFGrlv6VUOKmW+luNAv5Hi5W4KeppZi9a6nZkUREUq1Zf8zi7wKdodgyRk++TPUX/XTOljirkrMKkyquhmXf88+qhrQZsdjsSKZSwUeeScvCLQFYfmy5uUFERGIx58AcZh+YjaX0d6zadYxqpfSNUeJv5cQ6VOiwHrrXoP+mV9lweoPZkUREUp29gXsZ8OsAcAtizMxTDOtcxuxIkgL1qleXjm/tg3LTWeHQhUl7JpkdyTQq+MgzaVGkBdzJwY6fSvHXyetmxxERidbynX/Tf+VQAD6t8ylNi9U1OZGkVA4OFnYvqk+HWmUJt4bTemlrfg/cZ3YsEZFU49j56zQdNY0waxitirRiWNVhZkeSFGzR2Mp8+uUtcLDy5vo3+f7w92ZHMoUKPvJMcmXIhcfq1RhrpzDum5NmxxERieLEvzdo2zwjD2dtoX6W13i32rtmR5IUzsHiwLyW86iXrx73AvNQtYojWw5qLjsRkecVGhZOlabnufHNfLL+/QnzWs7DYtHy6/J83qs+nAEVBoABnd78h4k/pL1/qFHBR55Z9YbXIOcOjoduNTuKiIidCGsEnb/9iIhQN5zDMzO7zVc4WHTKk+fn4ujCsrY/47lxAeH/lqFZ1xP8cezRhKKBgWanExFJmT7Y9BG3PHeASzCzBryCl6uX2ZEkFbBYLExsNJGyl2Zi3fQxg7sWYPHGf9LUOVvffuWZjfvQD3pU53CWkQQ/DDY7joiIzYiAEfzONNxer8oPy0LJ7ZvB7EiSini5pWfH2lx4vvgL9/3WUq5YFurUgdy5Yc4cs9OJiKQsPx/9mS/2jobGbzJlzWZa1ixgdiRJRRwsDmwc35WMhQ5BwTV0alg4TZ2zVfCRZ1YiW3HyZ8pPaESoJq8UkWRj+T8r+Wz7ZwB823kULWsUMjmRpEYvFMzCr/NLwPoJYDgCYLVCnz5p518NRUSe177TJ+m6vBsAgysN5vV6L5kbSFKlTF6ubP8lLxzukObO2UlS8Jk2bRp58+bFzc2NsmXLsn379hi3DQgIwGKxRPk5duxYUkSVeLBYLLQs0hIinJi7fr/ZcURE+G3fOV6umw/+K8egioPoULKD2ZEkFQu7nsf2xTFSRAScOmVOHhGRlOTKrWCqV4fgpVOp6lufsfXGmh1JUrFrgenT5DnbKbHvYOnSpbz55ptMmzaNqlWrMnPmTBo3bsw///xDrly5Ytzv+PHjeHn9b+xm1qxZEzuqPIPK6dvD+Pf4JcKVoJ5heHk6mx1JRNKoew/v0ab3SayX65Nh+wzGTStldiRJ5QoWBAeHR/9KGMnBwaBAAU00KiLyNIZh0Hb8ZEIvv41DsBdT6zbE2VF/R0jiie6c7egIBVL5CMJEv8Lnq6++okePHvTs2ZOiRYsyceJEcubMyfTp05+6X7Zs2fD19bX9ODo6PnV7MUeLCmVwcLsHzvdZEnDA7DgikkYZhkGv1b0IavQy7hUWsWWlPy5O+uIoicvfH2bNevSF8RErni3fxTnjFTNjiYgkexP3TGS763s4dmvA1HlXeKFANrMjSSr35Dnb0RFmznzUnpolasHn4cOH/PHHHzRo0MCuvUGDBuzateup+7744otkz56dunXrsmXLlsSMKc/BydGRNmOnwtDsHHb4zuw4IpJGTf59MksOL8Ep3X02/JibFwv5mB1J0ogePeDcOVizPoSCn9YjqNQ4uq7oitWwxrqviEhatO38Nt7e+DYAE/q0om9rXZErSSPynL1ly6P/9uhhdqLEl6hDuq5fv05ERAQ+PvZfvH18fLh8+XK0+2TPnp1Zs2ZRtmxZQkNDWbhwIXXr1iUgIIAaNWpE2T40NJTQ0FDb70FBQQCEhYURFhaWgI9GYtKxWiV+/DGCFcdW8GW9L7FYzLuUPfI112svSUV9znwzlv/N4JWboRCMrTOWitkrpurXQ30u+fHxgfo+jiwt/iVV5lVh/en1vL1kFmPapo5vkupzktTU51Kvgyev0KDjTSLqZ+aVinXp82KfZPE6q8+lHT4+j34AzHy5n6fPxWcfi2EYRrzvIY4uXrxIjhw52LVrF5UrV7a1f/bZZyxcuDDOEzE3b94ci8XCqlWrotw2cuRIRo0aFaV98eLFpEuX7tnDS5w9tD6ky+EuhFhDGFfgCwp5pvKBkCKSbJy9dp8hg2tjBPtSpNuHjG5R1tSis8ivVzYxc3pp+LsTA0d9T50SGc2OJCKSLIRZw+j2XjbuHauBW6EA5o2+gpujm9mxRFKc+/fv07FjR+7cuWM373F0EvUKnyxZsuDo6Bjlap6rV69GuernaSpVqsR330U/XGj48OEMGTLE9ntQUBA5c+akQYMGsT54STgv7v6Q3Yvr8lOlh+xYUsm0HGFhYWzcuJH69evj7Kz5OyTxqc+ZJywijHrzm2AUu4ZrYCM2jhmKT2YPs2MlOvW55K2RtTGrZ//FRasT3x08yfsDBpLJPZPZsZ6L+pwkNfW51GnwhsHcq7sJx3vz+XmeP/XKVTU7ko36nCS15+lzkaOa4iJRCz4uLi6ULVuWjRs30qpVK1v7xo0badGiRZyP8+eff5I9e/Zob3N1dcXV1TVKu7Ozs96sSahC9qrs/q8if279FycnZ8z+B3a9/pLU1OeS3rBNw9h9eSterf4koENj/H0ymh0pSanPJV87VxamyphOXPJeSv91x/ix7Y+p4soz9TlJaupzqceiQ4uYun8qZIVlGy7TuEgFsyNFS31Oktqz9Ln4bJ/oq3QNGTKEb775hm+//ZajR48yePBgLly4QN++fYFHV+h06dLFtv3EiRNZsWIFJ0+e5MiRIwwfPpxly5bxxhtvJHZUeQ5vdS6FQ/P+hHWtwKmbJ82OIyKp3IQ1q5m4ZyIAC1ou4MXcBc0NJPKYPH5erHxnKM4Oziw7uowZ+2eYHUlExDTLtx2nx7fjAHi/+vu0KPKSyYlE0o5EL/i0b9+eiRMn8vHHH1O6dGm2bdvG2rVryZ07NwCXLl3iwoULtu0fPnzIW2+9RalSpahevTo7duxgzZo1tG7dOrGjynPwz5KJOm1PQvrLrDy+0uw4IpKKLd96kiGt6sDy+Qyr8BEtisT9ilGRpFI+R3nG1BsD97LwRvdsLN8Wt3kLRURSk/NXbtP+ZVdCp2+nXNgQRtWKOveqiCSeRC/4APTv359z584RGhrKH3/8Ybfa1rx58wgICLD9PmzYME6dOsWDBw+4efMm27dvp0mTJkkRU55Ty8ItAVhxbIWpOUQk9boTcod+s7+BcFcyRxTnk3ofmR1JJEaDKw0mx66lWI+0oWOXUO6GBpsdSUQkyVgNK72XDyAs3XkcPYJY1Pt9HB0czY4lkqYkScFH0oYWRVrA8Wbs/Lon+45cMzuOiKQyVsNK1xVduVJwHNle78CutXlwcdYXR0m+LBYL6xe8gEv+XYQ07szAdQPMjiQikmRGbx/Nhivf4dK9KcvW3qRQrsxmRxJJc1TwkQTj7+VP+j9Gwl/d+HLuKbPjiEgqM2b7WFYeX4mLowtrhr9D4VzeZkcSiVXxfN5s+C0Mh+xHmHdwHt8din7VURGR1GTV35v4cMuHAExrPokWlUqZnEgkbVLBRxJUw5f/g0oTCMy82OwoIpKKjJn/B+93Lw/BWZnaZCrl/MqZHUkkzmrmqclHNR4NP+y9YDSb/zxjciIRkcSz49C/tKxaHGPPG/Qo3ZMeZXqYHUkkzVLBRxLUqDcLQKMh7LPO4m7oXbPjiEgqcOraed4fnAXO1KPk6QX0LNPT7Egi8fZBjQ944f4QHkzZSfPW97j7IMTsSCIiCS4kPIR276/FuOtLuqN9+ar+ZLMjiaRpKvhIgiqapSgFMxfkYcRD1p1aZ3YcEUnhQsJD6LDiZawdG5Gp/Dq2LahldiSRZ+Lo4MjsrsOwOMD98LsMWfmx2ZFERBLcgLUDuFS2Lx4thrFhlRde6dzMjiSSpqngIwnKYrHQskhLuFaYr+ddNDuOiKRwA38dyP6L+8mc6yp/bihKRk99cZSUq3wxH6b88Dd0r8k3x0drVUsRSVW+OfAN3/z5DRaLheVf1qdqKX+zI4mkeSr4SIJ7wdIRph5jx6Re3L770Ow4IpJC9R+/idkbArBgYUmbJeTOmNvsSCLPrX+z6gytNgiA11a+xvnbF0xOJCLy/OavPUKfQXcgwolP63xK/fz1zY4kIqjgI4nglTqlcMx6CnLsZeycYwQGmp1IRFKSwEAYPuYc09+tBrP3MajANBrkb2B2LJEE83ndzynvV4Fb216hdPX/CHkYZnYkEZFntu/vm7zWPivWHUMpfGQh71Z71+xIIvL/VPCRBOfo4ECVdrvhfA3GDC5F7twwZ47ZqUQkJZgzB3LnNhgzPA9YXfDyvc74V3qbHUskQbk4ujCh8g/w2zhuH67MKyN/NjuSiMgzmT3bSoUXMmANzgYYvFbtJRws+hNTJLnQu1ESXGAg7Jj+KhiOAFit0KcPutJHRJ4qMBB69zawWi3/32LhXmA+Ll/SqUpSn6olcjPg4yPQ8E1WunTgtzO/mR1JRCReAgOhT19s3/nBwntvp9N3fpFkRN+iJcGdPAmG7Q+2RyIi4NQpkwKJSIpw8iSPFXseiYiw6LNDUq2v36lInzdCwGLw6s+vciX4itmRRETibO7yMxhW+z8n9Z1fJHlRwUcSXMGC4PBEz3J0hAIFzMkjIinDlfuBgGHXps8OSe0mNJxAiWwluBJ0nXpvzSPCajU7kohIrG4GPeCTjx3QeVskeVPBRxKcvz/MmgUODpEnAIORY2/ir5UZRSQGEdYI3p7+G2Ah8sujoyPMnIk+OyRVc3d25/s2S3FY8iuHZ75Di0FbzI4kIhKrgYsnEhbqjMUtCAdHnbdFkisVfCRR9OgB589bKPLaeBick/ulvzA7kogkY+N2jiOwXHfcWr/B8g2X2bIFzp179FkiktoVz1aMjm09wCWItZfnsOvfXWZHEhGJ0W9nfmPRlfegfwkmLTnC+XMWnbdFkikVfCTR+PvD6LcLQob/mH1gNiHhIWZHEpFk6ODlg4wIGAEWmPFheVrWz06tWvoXQklb5n9amZZTh2OUWEKHZR24+eCm2ZFERKK4HXKb7iu7A9CvegcGtKyCvz86b4skUyr4SKJqVqgZuTLk4nrwDab9ttrsOCKSzNwODqHxG+sICzNoVaQVXV7oYnYkEVM4OFiY33k0+TPl58KdC3Rb1ger1Yh9RxGRJFTllR0E/lWAApkLML7+eLPjiEgsVPCRROXk4ETLjB/BlOO8160CERH68ioi/1O3y14uL3sXl5/WMrPZTCwWS+w7iaRSXq5eLH15KU7XS7F66Ee8+kGA2ZFERGyGTd7J0ZXNYOEGvqi4FA8XD7MjiUgsVPCRRDe4cUu450Po7Qz8vPOQ2XFEJJkIOBfAAcdp4H6Dd9/MQFaPrGZHEjFdWb+yNDGmwNWSLJmRh30X/jI7kogIl+5e4pvbHaDsTKp13EGLCmXMjiQicaCCjyS6PD7eNB45GYb4s+qGJm8WEbgTcoeuK7pCiR/oMmcUo3pXMDuSSLLx86RqFGq9FHpU4tVV7Qh+GGx2JBFJwwzDoMeqHtyy/suLvWby29yqZkcSkThSwUeSxCddGoHrPZYeXsqV4CtmxxERkw34ZQgX7lwgb8a8TGn9mdlxRJIVR0cLuxbWw9/PhRM3TtB/TX+zI4lIGjZ27SJ+PfUrro6ufNf6O1ydXMyOJCJxpIKPJImyfmWp5F+JMGsYk7ctMDuOiJho2KS9LOw3FMulcixstZD0runNjiSS7Hin82Zx68U4WBxY+MtpeozcxZYtEBhodjIRSUt+23ee4a1awcrZfFxtHMWyFjM7kojEgwo+kmS65B8K361ldNse3LkbZnYcETHBxaDLfDXGE64Xo9KdcVTNpcvCRWJSPXd1umeaC99u49tRlalTB3LnhjlzzE4mImlBuDWc3l8vhTB3MoaUYUj1N8yOJCLxpIKPJJluVV7C4UZxrPczMm7xbrPjiEgSMwyDPmt6EdGlBlkbfMuGb1XsEYnN8KadePR17dEKdlYr9OmjK31EJPGN2zmOswXeIV2vZqz9wQcnR/3pKJLS6F0rScbdxYVOH2yCgQXZ4fqh2XFEJIl9c+AbfjnxCy7pg9m8sAKe7poDQCQ2F847ElnsiRQRAadOmZNHRNKGPy/9yYiAEQBM69+eyiVymJxIRJ6FCj6SpEb3bICj93m2nd/GoStaol0krdj8x3kGzvgJgM/qfEaJbCVMTiSSMhQsCA5PfFtzcDQoUMCcPCKS+t0ODqF+578ID/aiVZFWdHmhi9mRROQZqeAjSSqHVw5aF20NwORd001OIyJJIfRhBC3bBxHyza8UPDeWwZUGmx1JJMXw94dZs8DR0fj/FisOXpfIkDnU1FwiknrV67aHG5u64bRoCzOazsRiscS+k4gkSyr4SJLrV2YA/DqRb179hH9O3zY7jogksrHbJnDX63dwvcu3gzvg6OBodiSRFKVHDzh3zsK3i+6A2x3Cb/nR/YulZscSkVRo67mt/JH5bcjyD+99FEI2z6xmRxKR56CCjyS5Wvmqke56DbifhXcn/mV2HBFJRAcvH+TT3e9Bi558uepXqpXKaXYkkRTJ3x+6d8zAe18dh1cbspzu7AncY3YsEUlFgkKD6LqiK+TYz2uzJjGqdwWzI4nIc1LBR5KcxWKh/zuB8GpDDufvgdWwmh1JRBLBg7AQOi/vTJg1jJZFWjK4fnuzI4mkeJ/1q0Tn1j5YDStdV3Tlfth9syOJSCrRb9m7nL9znrwZ8zKxyRdmxxGRBKCCj5hiVLe6ZCzxO2fvnGbdqXVmxxGRRFCjw14Oz3mDLE55mNVsluYAEEkgkxpNIkf6HJz47xJtR2pol4g8v3e+3svinp/AkbYsaLWA9K7pzY4kIglABR8xRTrndPR4sQcAX++dbHIaEUloS7btZf/P1eCPPrzhs4SsHpoDQCShZHLPxISa82D6IdZ+3pXJP/5pdiQRScGuBF9hwtR78MCbSo79qJarmtmRRCSBqOAjpulXrh/80Yv1g79k5ZYLZscRkQQSFBrE8APtoUs9SrdbzYielcyOJJLqtC1bj0LlLkLGc3y+8xPuht41O5KIpECGYdBrdS/C2jXCr+1YNsypYnYkEUlAKviIafJnzo/f9Y5wvRgfjA80O46IJJBB6wY9mgPgxfNsW1DL7DgiqdbmJSXJNbw5lzMt560Nb5kdR0RSoLkH57L6xGpcXC38Orkx6dO5mh1JRBKQCj5iquHDXKHxG5yv0I7gh8FmxxGR5zRmyVbm7V6BBQvzW87XHAAiiShH1vQsaDcNgFkHZvHrSc2JJyJxF3DgX/p/uh8M+KT2J5TyKWV2JBFJYCr4iKn6t6hIwcYbuGv5j+8OfWd2HBF5Dn+fvsZ7PUvAtL95zX8c1XNXNzuSSKpXM09NBlUcBMeb0qJeNs5fvmV2JBFJAR6GRdCi/S1Cf55Grj+/ZWjloWZHEpFEoIKPmMrB4sDr5V8HYMrvUzAMw+REIvIsDMNgwLJRGO7XccsQzIQOA8yOJJJmjKz+Oc4bpxJ2oQzN3thudhwRSQEm7J5AUN6FWDyuseiTejg6OJodSUQSgQo+YrpupbvhFtiQI19/xug5h82OIyLP4Ns/v2Xrg6k496/I8uWG5gAQSUIZPdIxeWYwVPmSw0XasfzocrMjiUgydujKIT7a9j5U/YLJ69ZSrVROsyOJSCJRwUdMl8EtA0VuDoXjLZg0OcLsOCIST2duneHN9W8C8FnD92lUrqi5gUTSoD6ti/PuqOvgHEqfX/pw7d41syOJSDIU/CCUV5d14WHEQ5oXak7/ql3MjiQiiUgFH0kWxg7PDRUmc61GRy7c0RLtIilF6MMIytf5j+CD9ameqzpDKg8xO5JImjWy1khKZCvBtfvXaPfVRA2TFpEo6nbdw9/jvyJzaGlmN5+NxWIxO5KIJCIVfCRZaFCuELX7L8fIcpSZ+2eaHUdE4qjD+xu5ebA6rJzLxBoLNQeAiIlcnVyZ32IBlp8XE/DRZ7z51U6zI4lIMrL6zz38vvJFOFeHPv7T8PH0MTuSiCQyFXwk2RhQ4dEkr7MOzCIkPMTkNCISm78u/8XqdG2g2uf0eP8vyuTPbXYkkTSvjN+LVH8hB1jCmb15PRfvXjQ7kogkA3dD7/Lm9k7Qpwxlu37P5/0rmx1JRJKACj6SbDQv3Jzs4ZW5vmIYAz7/w+w4IvIUoeGhdF7emXCH+7z0+l5mf6Al2EWSi7UzK1P0/S48qPApvVf31tAuEWHohqGcuXWGXPnC2DSjsdlxRCSJqOAjyYaTgxPl7o6EXW/z3XQ/9P1UJHkKDIRmQ9bw98mbZE2XVXMAiCQzHu7O/DjgfVwdXVlzcg1zD841O5KImOjzBbuZvWErFizMbzmfDG4ZzI4kIklEBR9JVia+UwaHIqsIqT2AvYG/mx1HRJ4wZw7kymXw2+TWMOFfXn6wgWwe2cyOJSJPKJ6tOJ/U/gTu+tKnmxe7DweaHUlETLB5103e71MMph+kXfpJ1MpTy+xIIpKEVPCRZCVf9ix0Hv0zFF7D1P2TzY4jIo8JDITevQ0MI/JqHguzPi5NoP6OFEmWhlQeQsYNPxN+6GWad/4Xq2E1O5KIJKFvvjGoWy0jhGSACDequvU1O5KIJDEVfCTZeaPCGwD8cOQHrgRfMTmNiEQ6eRKsVvuhWxERcOqUSYFE/q+9+46rqv7jOP66lyW4FXGBiIpb09ybHLjNkeZe5EjNVe4szdTUMitLpTDNkaPSnCkp7r1yZLgHLlzhZtx7fn+Ylj/NkcKBy/v5ePSHl3vhZXzlXj7n3O+Rx3KyOjH362xYfTdyufwbTNo+yewkEUkgERHQuYsBxr1f9yz06emigzQiyYwGPpLolMxWkpKelYnZ1pZOQ3ebnSMifzntvBostgduc3KCPHlMChKRJwos48tnc/eA1+/0/7U/hy8fNjtJRBLApt0XMewP/qqngzQiyY8GPpIoVYwbDou/Zmlwaa7fjDM7RyTZO3z6Kl16RUH1AVisd98W4uQEU6aAt7fJcSLyWN1Kv0lVv6rcir1Fi2/7ERtne/KDRCTJstsN3hwYATz4Nk4dpBFJfhJk4PPVV1/h5+dHihQpKFGiBOvXr3/s/deuXUuJEiVIkSIFuXLlYvLkyQmRKYnIyK7lcMm9AXvFkSz6Y7HZOSLJXmDrA9zZ3Qj3oy0IPxJNWBicOAFBQWaXiciTWC1WpjaYSooDndg55Dua9F1ndpKIxKNeX6zgyu/FwSkWq/XuZW91kEYkeYr3gc/cuXPp3bs3Q4YMYffu3VSqVInatWtz6tSpR97/+PHj1KlTh0qVKrF7924GDx5Mz549+fHHH+M7VRIRDzc3BgSvgPLj+XrfZ2bniCRrP/z+AyeKBkGO9Uya6Ia/nzsBAXrRKJKU+KbzpVnedhCThiVLDfZfOGB2kojEgxN/nuDbm02hYVtee3sdJ09adJBGJBmL94HP+PHjCQoK4o033qBAgQJMmDABHx8fJk169MaBkydPJkeOHEyYMIECBQrwxhtv0LFjRz7++OP4TpVEpkvJLjhZnFh7ci37LuwzO0ckWbpw4wJvLn0TPA8xeOoK2tUubHaSiPxH335QnmI9PsJoXYP2P7cj1hZrdpKIvEB2w06HnztwM/YGlRqcYM7oqnh7o4M0IsmYc3x+8piYGHbu3MnAgQMfuD0wMJBNmzY98jGbN28mMDDwgdtq1qxJSEgIsbGxuLi4PPCx6OhooqOj7//52rVrAMTGxhIbqxcySVlm98w0yPsqC1Zcosu7+1n7Vf4nPube91zfe0kojrzm7HaD1tMHcOnWJYp4FWFwhUEO+fdMahx5zUn8Wzi8BcW/HsvOczsZuW4kQyoOeeJjtOYkoWnN/Td9v/mJNWc34uHuQXDdYOw2O3ab/ckPFK05SXDPs+ae5THxOvC5dOkSNpuNzJkzP3B75syZOX/+/CMfc/78+UfePy4ujkuXLpE1a9YHPjZ69GiGDx/+0OdZuXIlHh4ez/k3ELN5n6gF0zqx2SmG4DKL8M70dEs2NDQ0nstEHuSIa27iz7f4deaXWGuloGPL/Py64lezk+QfHHHNScLokLkD449/ygdj/+TG1jlUKpDmqR6nNScJTWvu6e04couJAxtBxm28NnAG4ZvDCSfc7KwkR2tOEtp/WXO3bt166vvG68DnHovF8sCfDcN46LYn3f9RtwMMGjSIvn373v/ztWvX8PHxITAwkDRpnu4FjCRetWsbTJ2+mZspf+O8J3Su8/g3H8fGxhIaGkqNGjUeOhtMJD446po7fe00awb9AbEpqZ7tNbo3qWJ2kvzFUdecJJzaRm2WtSzNH7+8zsR94Qw+kJ3UHm7/en+tOUloWnPPxma3MXBQP3CtTkavGILfHI3V+u+/a8nDtOYkoT3Pmrv3rqanEa8DH09PT5ycnB46mycyMvKhs3juyZIlyyPv7+zsTMaMGR+6v5ubG25uD79IcXFx0T9WB/HJjH10Xfom35/KzXDnzlgtT956St9/SWiOtOYMw6Drsq7ENf2V3GeHsOiL93FxSZDjA/IMHGnNScL7YWw1iq4+RfRLnzF2azo+Chz1xMdozUlC05p7OuM3jOePtBNJ1Xs5K9qtxc3N1eykJEtrThLaf1lzz3L/eN202dXVlRIlSjx0mlJoaCjly5d/5GPKlSv30P1XrlxJyZIl9Y8vmWpdtBXpUqTj6NWj/HLkF7NzRBzelJ1TCD0WSgpXN5aMboWbhj0iDqdQLk/mrNkNpScxbssYtkRsMTtJRP6DfRf28d6a9wD4oum7lMib3eQiEUlM4v0qXX379uWbb75h6tSpHDx4kD59+nDq1Cm6du0K3H1LVtu2be/fv2vXrpw8eZK+ffty8OBBpk6dSkhICO+88058p0oildI1JR2LdYQob/qPPmZ2johDW7X9FL3eOwl2K6OrjSa/55M3SxeRpKlp0VdpXbQ1dsNOi5BBLFp2h4gIs6tE5GnduBVL5doXiDlRnPp569PupXZmJ4lIIhPvh21ff/11Ll++zAcffMC5c+coXLgwy5Ytw9fXF4Bz585x6tSp+/f38/Nj2bJl9OnThy+//JJs2bLx+eef06RJk/hOlUSsdb7ujK/3IQfi3Fnc/hT1K+cwO0nE4cTE2mjU4hoxR0fjbS9Gz2FNzU4SkXj2ea3P+Tm4MCd+6c+rWLBaITgYgh6/ZZ6IJAINeq7jz93VsRwpzOcfPXq/UxFJ3hLkPP1u3brRrVu3R35s2rRpD91WpUoVdu3aFc9VkpQUz5mLrCXXcu68je9/20P9yn2f/CAReSZfbP+M64UOYLk0nO/HlXuq/bJEJGm7eTk9N1b0B+7+omi3Q5cuULMmeHub2yYi/27n2Z2s9WwORT6lT8ec5PSsaHaSiCRCejUvScaUkDvQvhrLbn7AjZgbZueIOJSDFw8yZPVgeHkqE5evoGIRnUUnkhwcPgyG8eBZATYbHDliUpCIPNGduDu0XdgWu/slmr23mE96a9gjIo+mgY8kGXUL1CBPhjxERUcxa+8ss3NEHMbt6Dha/9CBaFs0tfLU4s2yHc1OEpEE4u8P1v97NWix2siTx5weEXmynrMn8PvF38mcMjNf1vnS7BwRScQ08JEkw2qx0r1Ud4h148OvjhIXZ5idJOIQ6nTezK4RX5L6z3J8U/8b7QEgkox4e9/ds8fJ6a8bLHEYlUYQsnKDqV0i8mhfzt/P1+37wfJPmVw3GE8PT7OTRCQR08BHkpS2RdtjmbKXiG/HMm76frNzRJK8jUf2subHvHCuBO2zjyF7Gl3OVSS5CQqCEycgLAxeHTwP1g9meM987D8eaXaaiPzDzZibvPftKjCc8E9dnIYFGpidJCKJnAY+kqRk8EhH0UonIc0pft6/0uwckSQtOi6aN0NbQ9diFGk9jc/e1h4AIsmVtzcEBMCMwa+RIusJDJ8NvL2yD4ahs2lFEouBvw7kSpneeHZpya+zXjI7R0SSAA18JMkJ/iQ79MrFjvQDOB112uwckSRr+Nrh7IvcR6bMNn6dXEdv5RIRUnu48usqGy4tm7Py/GxCdoeYnSQiwOrjq5m4fSIAs/q1J4dXOnODRCRJ0MBHkpzSfgUJyF0Jm2Fjys4pZueIJEkhi/fz0fxQACbXm4xXSi+Ti0QksaiQrwCjqo0EoM+KPhy+dMzkIpHk7dSFazTseATupKZria4E5g40O0lEkggNfCRJeqv0W2DAF9+dZMGiGCIizC4SSToir97izY5pMII3U+XOJzQu0NjsJBFJZPqU7UPF7FW5sXwg5areICbOZnaSSLJVveU+rq/pTIoFSxkXOM7sHBFJQjTwkSSpQb4GuEzdzbXpM2j8qiu+vhCis85FnsrQ0A+I9dqCU7rzTO/dwewcEUmEnKxOjCo1Dbb25NofJZi85oTZSSLJ0tJDSzmcYxBkOMwno1KTyjWV2UkikoRo4CNJ0vmzzsRG/L1Znd0OXbqgM31EniDseBjBB8dAs9eZufwQvpnTm50kIolUpZd86PTeTmjWhHWZBrA3cq/ZSSLJypXbV+i0uBPkXE+vGVPo1riY2UkiksRo4CNJ0uHDgPHgBrM2Gxw9qk1nRf5N1J1rdPj57hk9nV/uTPMyVU0uEpHEbsrgKtR7NYY4I472P7cnOi7a7CSRZMEwoOtP/Th34xz5MuZjdI0RZieJSBKkgY8kSf7+YP2/1evkZJA7ty4fK/JvStXdx8l5PfBNmY+PAz82O0dEkgCLxcLkOpNJ65yW/WeO0mLU92YniSQLfT/eyvyuH2I5XI/vGn2Hu4u72UkikgRp4CNJkrc3BAffHfIAYImjcI1deHub2yWSWH2+cAOHV1eALX0YmGc2qd1Sm50kIkmEV0ovOmbsA1N2sWBYG7768Tezk0Qc2oUbkUz8CriRlYpOvSmdvbTZSSKSRGngI0lWUBCcOGGhz8dbwRLHbytfImzHObOzRBKdK7ev8NHRZtCiHhU7LKdrw5fNThKRJKZK1mLkLnoJUp1nRNhHXI++bnaSiEMyDIOuS7sQ1yqArE0+YdnkimYniUgSpoGPJGne3vBJ39JkLLoDcqzjs22fmZ0kkui8tfytu3sAlD/CysnVzM4RkSTq15kF8RlYl/OZ5tBnRR+zc0Qc0qx9s1j4x0Jc3Gwsn1idVO5uZieJSBKmgY8keRaLhYXzU0K76iz7czyHbh4yO0kk0Rg9ZzWzd/yM1WLVHgAi8lyyZ0rNzFafY8FCyO4Qfv5jkdlJIg5l6/7zdBkTCsB7Vd7jpSwvPeERIiKPp4GPOISKeYrTrlhbAKaenYphaPNmkd8OX2RIx5dh8m+8mXus9gAQkedW2bcyb5d7G469wmuB3hw8ccnsJBGHYLMZ1Hn9PLdmTyf7rkkMrDjQ7CQRcQAa+IjDGFVtFO6WtPwRWpte43aYnSNiKsMw6P3DRxiuUbinuc2YJm+ZnSQiDmJYlRG4/TqFuNMvU7frVh1kEXkBvt4RwhXPReAWxdeDq+NsdTY7SUQcgAY+4jCypc5GtajpsHI8wR/lJfLKHbOTREwzc+9M1sSMx7l7CX6YbyVlClezk0TEQaR0S8H0aQbWUlM4/vLrTP9tutlJIkna8avH6be6D1R9nxE/z6J2mTxmJ4mIg9DARxzK1KFVcPbbiL3qAL7eO8HsHBFTRFyL4K3ld8/oGV6rL3VKFTS5SEQczes18jJy/FVwu0nP5T058ecJs5NEkqQ4m532CztwI+YGFXNUZFCNLmYniYgD0cBHHEq6lCnpPnQ+vDyVjzaP5MKNC2YniSSokycNipaLJGpbXUpnL03/Cv3NThIRB9WvfD/K+5Tnesx1Go4ZT5zNbnaSSJISEQFVmu5n3YghuN/OxbRXp+FkdTI7S0QciAY+4nCqpK9CiawluBFzg3dXDzU7RyTBhIRATj+4+vvLsGAm1S78rD0ARCTeOFmd+K7hdzivnMhvH31Okz5rzU4SSTJCQsDX12DTgqJwvAYvHVhC7gy5zc4SEQejgY84HKvFysfVP4ZT5fmm2xtMX3zE7CSReBcRAZ07G2BY/rrFwtj3sxARYWqWiDi43Bly06xyUcDOkr1b2B+53+wkkUTv3nO23W65f9v25fn1nC0iL5wGPuKQKvhUwO/kcDhTmj4Dr+kKIuLw9h+MfuCFI4DNBkc07xSReDZjZEUqjuyF/ZXBtFnQhhhbjNlJIona4cM84jnboudsEXnhNPARh/X9RH+sZSZxtU5tlh5eanaOSLyasGYqWGwP3ObkBHl0oQ8RiWdWq4X5PYeQ0T0je87vYfia4WYniSRqK/fu1nO2iCQIDXzEYZXJ78s7I05AqkjeWfkOsbZYs5NE4kWP0VtZMepN8NmE1Xr3bDYnJ5gyBby9TY4TkWQhS6osTKk3BW5lYFSfwgQv3Gt2kkiitP3gecYMyglO0Vgsdzc613O2iMQXDXzEoQ2pPIRMHpkIvxzOJ2EhZueIvHDHrh7jm/VLwGKj0ivRnDxpISwMTpyAoCCz60QkOWlSsAn59n8P+1rQo6sHUbdvmJ0kkqjY7DZ6Le+F4fk77tmPcSA8Rs/ZIhKvNPARh5bGLQ1Dy42CJV8yuH4LDhy9anaSyAsTY4vh9R9eJ7rMhxR9tzOhXwfg7Q0BATpKKCLmWBFSBre864ht0JwBq94xO0ckURm1fhSbr8/Do1Mdfl2eggL+KfScLSLxSgMfcXhdy7XH/XJ5jDtp6fHJKrNzRF6YAaED2XF2B+lTpGfx2+/j5qJLsIuIuXyzpGXZL3GQfSdTdk5h2eFlZieJJAq/HlrPsLXDAJjU4AvKF9CGPSIS/zTwEYfn4uTMxxNuQ7sANmRtwaHLh8xOEnluAz/bwYSe1eCmJ9MaTiNH2hxmJ4mIAFDVryq9y/QGoP2MwRw6fdncIBGT/X78MrXK5sS+pRttiral7UttzU4SkWRCAx9JFro1KEedwJTE2ePoF9rP7ByR53L4wmnGDvWGw3Upd2E6DfI1MDtJROQBo6qNwieyExc/XkW1ZuHY7YbZSSKmMAyDxgOWYbvqg+uetxhf7Uuzk0QkGdHAR5KNj2t8jJPFiUV7VzF1xVazc0T+kzh7HB2WtsBoXYOM5RazcnI1s5NERB7i7uLO6AZ9IDoNESfd+GbzPLOTREwxYcsEwgu2xalOX2Z/b8czTSqzk0QkGdHAR5KNApkK0CTdSPjiEG+2ycqt2zazk0Se2bA1w9h4eiOpfU6ydUlBUrm7mZ0kIvJIrWoWoOP4ORBUjv7ru3A66rTZSSIJasfZHQz4dQBY4LP3c9OkSn6zk0QkmdHAR5KVMc2DsFisxMTG8enyBWbniDyTT77fzshFswH4psE35M6Q2+QiEZHHm/JWC8r4vkxUdBTNv32HVavtRESYXSUS/06ev0bNrquJjbXTKH8jupXqZnaSiCRDGvhIspLTy5O+X66EHgX44lgPrkdfNztJ5KnsCo+k3xu5YPIuGqcdQbNCzcxOEhF5ImerM981+g7nPV3Z1Od7qlez4usLISFml4nEH7vdoOKrf3BlcX9SLp9LSIMQLBaL2Vkikgxp4CPJzqiWzcnjlYMLNy/w0YaPzM4ReSKb3UbPZb0wMoSTwussIW+8bXaSiMhT87idF9vPX3HvZafdDl26oDN9xGFN3RNCRI5PwOMiXwzzJ717erOTRCSZ0sBHkh1XJ1fG1RgHBoyddoBV286YnSTyWB9t+IiN1+bg3rk2K5c7ky6Vu9lJIiJP7fBhMIwHz26w2eDIEZOCROLRgcgD9FzeEwrPY/jC7+hQt6jZSSKSjGngI8nSq/leJefeqcTNXEibNyPNzhH5V6sObeC9Ne8B8FX9z6hUKK/JRSIiz8bfH6z//4rTasMvly6eII7l4p+3aDq7HbfjbhOYO5B3q/cxO0lEkjkNfCRZslgsfNq3DLhe55z7StYf32x2kshDfj9+mZplfbFv7UrrIm1o91I7s5NERJ6ZtzcEB4OT0183WOKgblcGz5lhapfIi1a+8W8cHDWdjDcq813D77Ba9KuWiJhLP4Uk2WpYsSCtvh0INQbSf3VfDMMwO0nkPsMwaNR/ObarPrju7smn1b/Sho8ikmQFBcGJExAWBuOXLIEDzZg9oD1DJ20zO03khZiy5meObM8Jl/LzbsnxZE6V2ewkERENfCR5G1f/XVK6pGRLxBbm7J9jdo7IfZ9u+ZRDhdrgVOdtZn9vxzNNKrOTRESei7c3BARAnzoNKVrYFVxuMn7DRI5c0WY+krQdvXKUfpvbQNdiNBoyn96vlzA7SUQE0MBHkrmsqbMysOJA+NOHTp3tnL902+wkEbad2cbAXweCBb4YlocmVQqYnSQi8kJtnFOO4sPe4FbeGTSe25ibMTfNThL5T2JsMTT/sTnXY65ToYA/84a/ZnaSiMh9GvhIste37Nu4zF/KzS2taNZzj9k5kswdOxNFra5hxMbaaVKgCV1LdjU7SUTkhUvl7sqStz4hc8rM7IvcR9BP3bHb9dZqSXoC2oexY3MK0qdIz+wms3G2OpudJCJynwY+kux5uLrTc8BlyBnGjgz9OH/jvNlJkkzZ7QYVXz3M1SUDSLViNt80+Eb79oiIw8qWOhvzms7DeiUfc3u9zev915udJPJM3p+ync0za8L01YwpOZccaXOYnSQi8gANfESAMd0rU2rwQG5n2si7q981O0eSqeBdUziX8xNIGcmkEQVJlyKd2UkiIvGqsm9lGlgnQWQRfvgmJ2GHt5idJPJUIq5FMDGyKRSdQYnGa+lUrYbZSSIiD9HARwRwslqZUOtTAKbunsruc3vMDZJk57fzv9H7l95QZA6jFn1P68DCZieJiCSIHz8JoHDzuRBUltaLm+hMW0n04uxxtPqpFVfsJyn25qesn1XJ7CQRkUfSwEfkL+V9yvNa3pYYm3tSLTAWm017CUjCOHvpBk1ntyPaFk1d/7oMeOUts5NERBKM1Wph8/S6FMydnrPXz/L6D68Ta4s1O0vkX/X8bhLrTq4jlWsq5jWdi7urm9lJIiKPFK8Dn6tXr9KmTRvSpk1L2rRpadOmDX/++edjH9O+fXssFssD/5UtWzY+M0Xu619iNISN4Or+Urz71Q6zcyQZMAwo/+rvHP5oJl43A5jWcBpWi2bxIpK8pHJNxU/NfiK1a2rWbYjhlaBQs5NEHmns9N+Y1KE7LPucr2pPxj+jv9lJIiL/Kl5/q2jZsiV79uzhl19+4ZdffmHPnj20adPmiY+rVasW586du//fsmXL4jNT5L5SeXMQ2HUV1O/ED/Y2xNhizE4SB/dZ6HxO/pYDLudjePnxeHp4mp0kImKKfJ75GFdqHkxbw8bpdej3xQazk0QecPHmRUbMWQ5YyZ+hEG2KtTI7SUTkseLtuoEHDx7kl19+YcuWLZQpUwaAr7/+mnLlyhEeHk6+fPn+9bFubm5kyZIlvtJEHmv+2Kr4f9GFI39G8tX2r+hdtrfZSeKg/rj0B0N2tIc3U9E8zUS6NmxqdpKIiKm6VK/FtKZhbNl7ka8u9aTDxdUUzFTQ7CwR7IaddgvbcaPscnz8/2DDh1+anSQi8kTxdobP5s2bSZs27f1hD0DZsmVJmzYtmzZteuxj16xZg5eXF3nz5qVTp05ERkbGV6bIQ9K4peHDVz4E4L2F3zBnQRQRESZHicO5HXubZvObcSv2FlWLFGbmkMZmJ4mIJAprvqvEK/2ncMt6gcZzG3Mt+prZSSKM3zye5UeW4+bkxpIhfcmYJqXZSSIiTxRvZ/icP38eLy+vh2738vLi/Pl/v/pC7dq1adq0Kb6+vhw/fpyhQ4dStWpVdu7ciZvbwxuiRUdHEx0dff/P167dfVEQGxtLbKw2/Etu7n3Pn/d736ZwG4YMjePi8q60wILVajBpko0OHbSRszzov665cs3XsC9darzye/Ft/W+x2+zYbfb4SBQH86J+zok8rYRec1ZgxqvfUXZqWcIvh1Pvo9GEDhyO1WpJkK8v5ktsP+e+XniQ/iOyQ900fNJwFAUyFEg0bfJiJLY1J47vedbcszzGYhjGM/0GO2zYMIYPH/7Y+2zfvp2VK1cyffp0wsPDH/iYv78/QUFBDBw48Km+3rlz5/D19WXOnDk0bvzwEfB/65k9ezYeHh5P9TVE/t+lSyno1KkGhvH3SXBWq53g4FA8Pe+YWCaO4JsV11gyqQ043aHv+C+p7JvH7CQRkUTn0M1DDJgSg7FuCC83mst77VKYnSTJ0J93btKxW3nsV3KSLWA2X/bywGLR8FFEzHPr1i1atmxJVFQUadKkeex9n/kMnx49etC8efPH3idnzpzs3buXCxcuPPSxixcvkjlz5qf+elmzZsXX15fDhw8/8uODBg2ib9++9/987do1fHx8CAwMfOJfXhxPbGwsoaGh1KhRAxcXl//8edassTww7AGw2634+lajShWd5SN/e5Y1FxEB63afIyxFYyhioeLLmfjozZ4JVCqO4kX9nBN5WmatuTrUYfe+jXy/DnZFnsS9YDFeyflKgn19MU9i+Tl3+rRB+2kjsdf8nhS732HD7Bp4e6YzrUfiT2JZc5J8PM+au/eupqfxzAMfT09PPD2ffBWZcuXKERUVxbZt2yhdujQAW7duJSoqivLlyz/117t8+TKnT58ma9asj/y4m5vbI9/q5eLion+sydjzfv8LFACrFez/eIeNxWojXz4nXFx0VEce9qQ1FxICnTsb2O05wLKV3G3HsjqkOS5O8fbOWnFwep6ThGbGmps5sgrXMnzA0lvv03phJnZ23olPWp8EbRDzmPlzLiQEOnW2Y9iHg8VG37En8cuayZQWSTh6bpWE9l/W3LPcP942bS5QoAC1atWiU6dObNmyhS1bttCpUyfq1av3wBW68ufPz4IFCwC4ceMG77zzDps3b+bEiROsWbOG+vXr4+npSaNGjeIrVeQh3t4QHAxOTn/dYInDKD+GoA/WmdolSVNExL1hz1/DQsOJEzMHcuGchj0iIo9jtVqY37sfxbIU4+Kti7w2ryk370Q/+YEizyEiAjp1NjDsf/2qZDgxZmAuXcRDRJKceBv4AMyaNYsiRYoQGBhIYGAgRYsWZcaMGQ/cJzw8nKioKACcnJzYt28fr776Knnz5qVdu3bkzZuXzZs3kzp16vhMFXlIUBCcOAFhYTBg6mLY/Dah31Rh6Fc7zU6TJObQIf4e9vzFZrNw5IhJQSIiSYi7izs/NfuJdBZvtn3Wm9KNtpmdJA5u3tKLGA89b6PnbRFJcuL18HKGDBmYOXPmY+/zzz2j3d3dWbFiRXwmiTwTb++7/wXQiBXLlrHnwE0+v9ibtpfX4J/R3+w8SSI23ZwOtOGfM3YnJ8ijvZpFRJ6KX3o/Bvj9wKADpfj9oI3RCxYwSGd/Szy4dOsSnx3rBCwA/h766HlbRJKieD3DR8SRbJpZjXJ9J3CNszSc25Dr0dfNTpIkYN6Beby3qwM06ITFendTKCcnmDLl7jBRRESezsA2ZajdcwW0D+CD31uy+9xus5PEwdyMuUnd2XU55fEz6Ru/j9V698C0nrdFJKnSwEfkKbm7uvFjsx/Iljobv1/8ndojPiEm1v7kB0qyNXnxVlr90BYDg26dU3DyhIWwsLtvFQwKMrtORCTpWTKhJnWqpeNO3B2azGvCldtXzE4SB3H9Ziw1PhrMtjPbyOCegU1TWnLypJ63RSRp08BH5BlkTZ2VH5v9iNO699k4chgBrbabnSSJVPBPB3mzcVHi5s6isX8LPq/9OT4+FgICdIRQROS/slqszGw0k1zpc3H89C1KvR5KbJwOvsjziY2zU7j6bjZ/MBbX8OYsbbmU/J75776tP0DP2yKSdGngI/KMynqXpXPtCgBsPrOOxeFLTC6SxCb8Ujjv/PwRGFY83bLyXeNvcbI6PfmBIiLyROnd0zOn0Y9Yvt3IscWvU7PzWrOTJIkbsGIIp/68ewmu92v2oqx3WZOLREReDA18RP6Dr96pQbOJIyCwP60XtCL8UrjZSZJInLl2hsCZgVzP9R35+3Vm/+oipEzhZnaWiIhDKeVTjM5vn4VM+wlL2ZVlh5eZnSRJ1PjN4/l0x0fQrCnvTQ9lcDsNe0TEcWjgI/Ifzeg6gIo5KnIt+hqvzmnI2cvXzE4Sk4WfvEr1r5twKuoUeTPmZd27H5M5fWqzs0REHNLkwZXoEhwMnodo9VMrjl09ZnaSJDEfL1rE2yvfBuCjGqMY3qqeyUUiIi+WBj4i/5Grkys/NP2BrK55CJ88jKIVTxEdo30Ekqvzl29RonIkf3z8FZkpyorWK8iUMpPZWSIiDu3z+h9T1rssf975kzqf9WHv77cJC4OICLPLJLEbNnkX/RrVgbXv0qt0b/pX6G92kojIC6eBj8hzyJwqM59V+BGO1ObyoXy8OXm62UligjgjjpbT+3Pzcjos130IqTmfnOlymp0lIuLwXJ1cmd90PmmOtyH8w7m8VCgFVauCry+EhJhdJ4nV9jPbGfXDMrA7k8tSlU9qfoLFYjE7S0TkhdPAR+Q5Na1clN7jtkK7V/j2akcWhS8yO0kSkN2wM/HURDbcCcatczVC5p2hbtm8ZmeJiCQb3mm86V2yP9jcgLu/tNvt0KWLzvSRhx26fIg6s+sQW2koxfq8x75lFXCy6lciEXFM+ukm8gJ8+lYNerxWHIDWP7Xmj0t/mFwkCcFuN3jrhw9Zc3UNThYnfuw6hg51ipmdJSKS7AQUKsy9Yc89NhscOWJOjyRO+0+cJ/C7Wly6dYkSWUuwbnQ/PNxczc4SEYk3GviIvCDja46nsm9lrl/2oFTgcQ6f1CbOjq5Gx8183bk7nHuJ4HrB1M1b1+wkEZFkyd8frFbjgdssVjt58pgUJInOsYhrlCx7m5Mho8iduiDLWi0jtZsurCAijk0DH5EXxMXJhflN5+O26Adu7K5NxUZ/YDe0ibOjmrRpOqt/SQk3s1D+dk/aFGljdpKISLLl7Q3BwRacnO4NfWwYditvjFhnapckDnfi7tDw0w+Jvpgd65mKzKy9DK+UXmZniYjEOw18RF4gr5RezPwmLRafzURWbMWwNcPMTpJ4sCh8ET1+7Qjtq1D7ndn0b5zR7CQRkWQvKAhOnLAQFgblm28BYMXvGxi1fpTJZWImm91G659asy/NONzbv8a8hdcpW8DX7CwRkQShgY/IC/Za5SJ8u+gwZDzCiHUjWHBwgdlJ8gL9cmAjr//wOnbDTodyjVk48jWzk0RE5C/e3hAQABu/r0DHCTOg2hCGrB7CB2s/MDtNTGC3G3Rd0JcfD/6Iq5MrS97tTZMqBczOEhFJMBr4iMSDdsXa0qtMLwBaTR7NvNBjJhfJizBz2WHqlCrAnX21aJCvAcH1g3UZVxGRRCqkVxtGVx8NwPurh9Fs+BzsduMJjxJHUqX1Jr7p2QpuZmJmo5lU9atqdpKISILSwEcknoyrMY7isT24PWk1LZumJPxElNlJ8hyOXT1G52E7MG5nIP3B/nzfeA7OVmezs0RE5DEGVhzI2OrjYMlk5g9rTqXW6zAMDX2Sg49XzmDDwnxwtjQd0n1H00JNzU4SEUlwGviIxBMXJxd+7PE+zhnOYcuwn+6/dMFmt5mdJf/BhRsXCJwRyO1abcj86gT2riqAh6u72VkiIvIU+lV4h0YBecASx6aYyQxaNUhDHwe38I+FDNjSHoIqUKvXIqYOrmV2koiIKTTwEYlHflk8WfLLbdzav8qqC3N5L+w9s5PkGV28FkWtWbU4evUoOTP6sHvG63h7pjM7S0REnsFPn1Rl6LzZUGQOYzaOoV9oPw19HNSaY+tp/kNz7IadoBqVWPZpfbOTRERMo4GPSDyrWawoIQ2nADBqwyi+WbfY5CJ5Wpf+vEPu4mfYM682nu6ZWNl6JVlTZzU7S0RE/oMPXmvLl3W+BOCTNVMI6LoQm01DH0cyZ8URqpXNTPTZPDTI14DJ9SZrrz0RSdY08BFJAK2KtqJPmb6wqS+dqldj5tKjZifJE9jsNmoNCeb6sYKw+R1m1fwV/4z+ZmeJiMhz6FaqG5PqTIHZi1kX3IhSzVbpTB8HcfLPk7TrcQH7xbxk3PYF3zf5XnvtiUiyp4GPSAIZU2MMma40hFgP3hq/iqu3r5qdJP/CMAy6Le3GTq9eONXtw8RZxwh8qajZWSIi8gJ0LdWZjh0t4H6Z3RkH0n1Zd+yG3ewseQ6Xbl2i5syaxDSuT/qK89i57CU8XDzMzhIRMZ0GPiIJxMXJmW1LCuLZ8m3+rNSFFj+20CbOiZBhwNBV7xO8KxgLFuaOrUj3RiXNzhIRkRco5L0qfLliBZbsu5i0YxJdl3TV0CeJuhF9k3qz6xF+ORyfLKnYu7Q8vl4ZzM4SEUkUNPARSUA5M2fk10/a4u7izoqjKxiyeojZSfIPERFQrsF+RvYoDnEuTKo7iSYFm5idJSIi8aBbpZZ81+g7rBYrX69aSdFGK4mJ1YGYpOTGrVhylT3A1tWeZHDPwIrWK/BO4212lohIoqGBj0gCeynLS0x9dSrYnBkz2JuWfX4jLOzusEHMExICOXIYbF1SGMIbUWr/RrqU7GJ2loiIxKPWRVszrd5smLmSAz/X4uXXl+vs2yTi9GmDEo02cHFPaVj4HXPqLqdApgJmZ4mIJCoa+IiYoHnh5tS+MwO29+D7CUWpWhV8fe8OHSThnT5t0KmzHcP4+0oeuxaX1BBORCQZaPPy67w99CJ47eeAX2faLWxHnD3O7Cx5jG++MfDNaXBo5SuAnYbNr1KjUGmzs0REEh0NfERM8lX3poAB3B0y2O3QpYvO9Eloew9fof7ICRj2B38c2mwWjhwxKUpERBLUx70qMDf0EM7pLjJr3yzaLGijoU8itWH7NTp1Nv7xvG1l8Xe59fpJROQRNPARMcnxY07cG/bcY7NBeLguD5tQvvhhB8WKWfhtXl2wPHgKv5MT5MljUpiIiCS4ZkUbM7/pfFysLsxZcobcVTZz83as2VnyD5PmH6RKgA2M/z9Igw7SiIg8ggY+Iibx9wfrQ/8CDV7reojfj+mS7fEp1hbLkFVD6LmtNob1NilSxdD73fM4Od39uJMTTJkC3tr3UUQkWWmYvyEz6y6EeT9yakMlSrWfT4wtxuysZM8wDD7d/ClvzRuF/VZ67p4h/TcdpBEReTQNfERM4u0NwcHcHzJYrHZwiubPSHcCv6/CxlMbzQ10ULuPnaTytMqM2jAKUl7itTGTOPu7H59+kJ0TJyAsDE6cgKAgs0tFRMQMzV6uw4iJx7HmX8xB/yCazm9KdFy02VnJ1pXbV2g4tyF9V/bFVngmJbt/zrgJt3WQRkTkKWjgI2KioCDuDxlOnbSyYO0RvDv15kzcPqpMq8Ko9aOIjdPVQl4Ew4A33tvOywUysmWDK2nd0jL3tbnM7zaC9KlSAndfLAYE6EWjiEhy926H0ixb7IpbCoNF4YtoMq8Jt2M09EloX877g+zF9rNoXyiuTq5MrD2RbV+8xTu9PHSQRkTkKWjgI2Kyfw4ZGlYozO8jp9OqSCtsho0h36wiY94jbNwdaXZmknYz5iZBizoSsngfxKQi0+F+7Om6h2aFmpmdJiIiiVTNPDVZ0nIJKZxTsHROVnxKHGDfwTuEhekCC/HNbtj5IWIpfd7MwJ1DlUm/6yM2B22me+nuWCx39z/UQRoRkSdzNjtARB6U2i01MxrNoFrOGgTVKcH1C/mo3uMbFkz3plaeWmbnJTm7zu6mxU/NOXT5ENSeT51XMrJgbF1cnfXjT0REHq96rurMrrWSxiOKcjk6LUUL2cG4uwdfcLDOLIkPl29dpu2Ctiy7tAwaHSXXmUFsnN2eLOnTmJ0mIpLk6AwfkUTIYrHQ4eV2hIWmIEOFn7gT0JPas2rTP7S/No98SrGxBjWDtlCqySYOXT5E9tTZCeu8mKXjX9WwR0REnlqjEpUY8flpwH7/6lB2O3TpojN9XrQJsw5QcFAQy44sw8XiwsRujTkSWk3DHhGR/0gDH5FErEqRPJxZU4fuFToCMG7TOHI1+Zal6/UK83Eib0ZSZWQ/Vk4ti31Ldyo79+W3rr8RkDPA7DQREUmCKvgX5v9fNttscOB37bP3ItgNO61HLKRPmwJETvscP7eSjPEfQ+eXO99/C5eIiDw7DXxEErkUzimYWGciPzX7iZSH23Hm5y7Uq5aB4LWLzE5LlH499isvTX6JzZZPcKr6Ae0/CGXN4I/J6JHR7DQREUmi/P3vvo3r/73Wa5uuqvmcLt26RL3Z9Zh1uw2kP0KesodYH7SCXB65zE4TEUnyNPARSSIaFWjEhg8+JP1LG6HcJ3RZ8yqdF3fmVuwts9MShajrsZRtvoYawc04f+M8BTMVZPfsRnw7tIaODoqIyHPx9r67Z8+9S4FbLAa4XufGyx9S8duKtF3QlvM3zpsbmQTNWr2DYpOLsfzIclKkjGPCT5s49Es1vNKlNjtNRMQhaOAjkoQUy+XNhZ1lGPRuDBYsfL3ra17+tAazlh4zO81UR68cJWfFzWydGwBLJtGlRBe2d9pOkcxFzE4TEREHERTE/UuBnzpl4fjpaDo1z44FCzP2ziBXjx7U7bqBG7dizU5N9Gx2OwFtN9K6+suc2V6CfBnzsfWNrfSq0l4HaUREXiANfESSGBcnZ0bVGEFom1Ayp8xC+NT+tG6Qg7ZD12EYhtl5CW7W3lkUn1KcP8u8jSXdKd7vm43J9Sbj4eJhdpqIiDiYf14KPKeXJ8H1g9n6xlZKelXk9s9jWTalIrlbTmTNiTVmpyZakTcjqTO7NmuPbAHDSqGYN9jReQdFMxc1O01ExOFo4COSRFXLVY3tHX8ja8bUYLEx42Ivmv/YnKg7UWanJYgTZ25Q56MPaL2gNddjrlOpnDuHDsGwjpXMThMRkWSkVPZSbOmyljfePoWzzy4iC73LK9NfocWPLTgdpYss/FPYsbUUm1yMlUdXkqLmB/T+YgX7fqhHKtdUZqeJiDgkDXxEkjCfDF6cXh9AvxmzcM6+n3kH5lFsSjFW7tthdlq8+nHdfvIUusHyD7phue7NsCrDWN1uNXky5TA7TUREkiEnq5Wv3w3g/B856V6hA1aLlTn755ArYB3VO2wk6kaM2YmmuhNto1KLTVR99Rznrp+jgGcBtr+5kU971NRbuERE4pEGPiJJnJPVytgWHdnYcSN+6fw4ccJGzTJ+vNJqK9ExdrPzXpiICFi12s7QhVNovqosNvezOKe+yvTaC3g/4H2crc5mJ4qISDKX0SMDE+tMZGfnnRSNCyJuT0tWTS/LSyNfY+XRlWbnmeLCjQtUGdudDfNKwf7m1HL9kO2dtlPYq7DZaSIiDk8DHxEHUTp7aXZ32U2xqOFwOyNr1lioP7sBkTcjiYi4u8lkRBI9szwkBHx9DapXs/Jh4zeI2/M6tYdO4fgBT9pUK2l2noiIyAOKZSnG7uFf02PcGlIGjuNkisXUnFmTJvOacPDMKbPz4t291x1zN22k2JRibLNPwaVuf7p/vJrlg4eQ0jWl2YkiIsmCBj4iDiRtirTsCmnPm+NCcWventCTS/Hv8BG+vgZVq4Kv793hSVJgs9vYErGFt+d/yhtvGNjtf53ybThhXfI1U+pPxtszvbmRIiIi/8JqtfDFOwGcWfgmvcv0xsnixE/bN1AwXwoqt9pI1M07ZifGi3sHaapWheYVy3J+XR0KZirInpBOTHy7qtl5IiLJigY+Ig7GYrHw1Ts12DlgPnmdq3Lth3H3hyV2O3TuYnD4+G2TKx/tSORpXuu1jawv78JzdHbKhZRj/NJFwIPv77fbrRw9qvf8i4hI4pc2RVo+rfUpe7ruIXfEULjpxfowN4p/XYQlh5aYnffC2Ow2FmzdTqfO9gcO0liWBLOw9g4KZipobqCISDKkTS9EHFQhr0JMKL2UOobTA7fbbRbyj6hH/hwZiA0bSJVXYhnUywu/dH4JvnHisdM3WbprF0fdfmTF0RX8cfEPCDkHN7NAkYKkKxhN+bJ5WT7DjmH/ez7t5AR58iRoqoiIyHMp7FWYQ7MKMaDCOqYd+YjjUUeo/3196uapT2//iVQvnfQuPBAdF82HUw7w/dw4rpbux5VLVrCHPXAfw+7EmZPu+PuZFCkikoxp4CPiwIoUSIHVevfMnvsscdjThfP7jvqwrgSHI1byjaUcXim9KOddDmP7m5T096ZT05xkyfhi32NvGAZ7L+xlxdEVzPrhGnsnfAhZUkHXzwCwWq3kqDeHAl756NZuHLWKv4Sz1ZkQF+jSBWy2u8OeKVPA2/uFpomIiMQ7q9XCuB6VeT/mZUasHcGnWz5l6bxMLF2SjUqt1vBLSGmuXPDg8GHw90+cz3VnLl1jw/nlLPhjAcsOL+P6tJlwqAE4VSF12R+4brGDoYM0IiKJgQY+Ig7M2xuCgx8clkye7ESN1zYyP+wgP2VcygXXLZy2uhB5M5Kff18Kn89mUZwHww4UplgRN8pmL4ufPRA/txLUq5IdN7dnOwvowo0LfDgpnAVz03Cj4ESicv+1iZCzF1iG4+rsTOvC3ahToCrVclUjXYp0D32OoCCoWROOHLn7ojExvgAWERF5WqlcUzGmxhg6FO9A9deOccbuzPoLi/Bps4yr88dg2C1YrXefw4OCzK69+1w+Z+dyhncpydVjueCdN8DtBgDpyy8gZ1E3OrerTcfa7zIjj1UHaUREEgkNfEQc3MPDEgvgyzuNfHmnEUBd7sQNYde5Xaw6sItpARuIOJKOmAy/s+ucwa5zu2CFH2x+lRTlvqXGWwso512Ocj7l8LaUIo9vSiIiuH800tktmuAfw7mZezYrj61gz/k9EDoadg6EuEp45P+eV3K+Qs3cNSnd+Ril8xTGYvnyiX8Pb2+9YBQREceS3zM/p8Py8cG09Uw5tpVzI9eB8fe+e5062fkz+3zKFMxO3ox5yeCWCWfn+H/7tWHAsg0R/LxjCwfTfcbGUxsxDAMuHoJYD7L/+TqtG3vSMH9DSmcvjdXy9xk9OkgjIpJ4xOvAZ+TIkSxdupQ9e/bg6urKn3/++cTHGIbB8OHDCQ4O5urVq5QpU4Yvv/ySQoUKxWeqiEN70rAkhXMKyvuUp7xPeYbWunvb6aiTbI7YzJaILczd4sVZj0vcybyGxYcWs/jQYojKDp9G4JTqCvab6TAMK1js4GSDuKLQtTVk2QdAvip7yVpgGW1ey0+raldwc3ZLgL+1iIhI4mexWHi/QyVKh66izocP7rtnGFbemTMJ/NbC7XTw8XlSeJ3h1U+HUSBzbvwz+pPmTmFyZ8hJ/lxpeJ6t+AzD4LcLv7Hwj4VMm3uFk5M/h/TFoOcGsEDJ7CV5ecRmmpYzqFbs68fu+6eDNCIiiUO8DnxiYmJo2rQp5cqVI+QprwU9duxYxo8fz7Rp08ibNy8ffvghNWrUIDw8nNSpU8dnroj8g09aH3zS+tCsUDPG14Q7sdHsiOjG9vPF2ByxmbBfXbmEDduN9Ny/ipZhhbgUWDMeo2rWFrRvOIDquaqTOVVmU/8uIiIiid2j9t2zWO1ULJ6NU4YvJyMyg82NOzfcmPvHDPjjrzv9NB32FiVl7Q8p3nQF/hn8yelRiIs7qlCmaHoa18iGh6v7A1/r3pm5uXLbWLp9P5O+uc2FzDO56PfXGbfpU4L7MDxzXqB/5Uk0L1EXn7Q+CfM/QkREXph4HfgMHz4cgGnTpj3V/Q3DYMKECQwZMoTGjRsDMH36dDJnzszs2bPp0qVLfKWKyBOkcHGjol8ZKvqVoQ99oCl8V/0S7Zp5/t89rYTOz0nVVwaZ0ikiIpIUPWrfvSlTrAQFzQbgVswdNnY9xJ5jZzCyjeHQ5UMcunyIbaQn2hLHzVS/seHUBjac2gBni0Pw20xMeYG2/VLik9YH/wz+xG3vwOXfynBgQ24Mw3L3eE3eYxDeCPwvkcI/hJq5a9IofyNqDjDIkrYCUMHU/y8iIvLfJao9fI4fP8758+cJDAy8f5ubmxtVqlRh06ZNjxz4REdHEx0dff/P165dAyA2NpbY2Nj4j5ZE5d73XN/7hFGpZFqsVgO7/e/Tup2cDPxy2oiNtZlYlnC05iShac1JQtOaSzht20LVqnD0qIXcuQ28veHe/3YXixMBRf0IKOoHVPz7Qa3h0vUojlzux4mbDThy5QhbtsexOd92brucIQ6DU1GnOBV1Cn4cBef+cckswwkONSBnlXW0bZuKPq+fI6Xr31foNOt7rjUnCU1rThLa86y5Z3mMxTAM45m/wjOaNm0avXv3fuIePps2baJChQqcOXOGbNmy3b+9c+fOnDx5khUrVjz0mGHDht0/k+ifZs+ejYeHx3O3i8jjhYbmYNKkl7DbrVitdt588zdq1DhldpaIiEiyZxgG12zXOHvnLGejz7JsRk2Orqn70P1GjNhAkSKXTSgUEZFndevWLVq2bElUVBRp0qR57H2f+Qyffxuw/NP27dspWbLks37q+/5/EzjDMP51Y7hBgwbRt2/f+3++du0aPj4+BAYGPvEvL44nNjaW0NBQatSogYuLi9k5yUKdOvD22zaOHrX/dTSyMFDY7KwEozUnCU1rThKa1pzj6PMK5Mnz8Jm5rVqVSVSbLGvNSULTmpOE9jxr7t67mp7GMw98evToQfPmzR97n5w5cz7rpwUgS5YsAJw/f56sWbPevz0yMpLMmR+96aubmxtubg9f8cfFxUX/WJMxff8Tlp/f3f+SM605SWhac5LQtOaSPj+/R+0TZMHPL3F+X7XmJKFpzUlC+y9r7lnu/8wDH09PTzw9/3+T1hfDz8+PLFmyEBoaSvHixYG7V/pau3YtY8aMiZevKSIiIiKSXAQFQc2acOQI5Mmjy6eLiDgya3x+8lOnTrFnzx5OnTqFzWZjz5497Nmzhxs3bty/T/78+VmwYAFw961cvXv3ZtSoUSxYsID9+/fTvn17PDw8aNmyZXymioiIiIgkC97eEBCgYY+IiKOL16t0vffee0yfPv3+n++dtRMWFkZAQAAA4eHhREVF3b9P//79uX37Nt26dePq1auUKVOGlStXkjp16vhMFRERERERERFxGPE68Jk2bRrTpk177H3+/yJhFouFYcOGMWzYsPgLExERERERERFxYPH6li4REREREREREUl4GviIiIiIiIiIiDgYDXxERERERERERByMBj4iIiIiIiIiIg5GAx8REREREREREQejgY+IiIiIiIiIiIPRwEdERERERERExMFo4CMiIiIiIiIi4mA08BERERERERERcTDOZge8aIZhAHDt2jWTS8QMsbGx3Lp1i2vXruHi4mJ2jiQDWnOS0LTmJKFpzUlC05qThKY1JwntedbcvVnHvdnH4zjcwOf69esA+Pj4mFwiIiIiIiIiIvLiXb9+nbRp0z72PhbjacZCSYjdbufs2bOkTp0ai8Vido4ksGvXruHj48Pp06dJkyaN2TmSDGjNSULTmpOEpjUnCU1rThKa1pwktOdZc4ZhcP36dbJly4bV+vhdehzuDB+r1Yq3t7fZGWKyNGnS6Ie1JCitOUloWnOS0LTmJKFpzUlC05qThPZf19yTzuy5R5s2i4iIiIiIiIg4GA18REREREREREQcjAY+4lDc3Nx4//33cXNzMztFkgmtOUloWnOS0LTmJKFpzUlC05qThJZQa87hNm0WEREREREREUnudIaPiIiIiIiIiIiD0cBHRERERERERMTBaOAjIiIiIiIiIuJgNPAREREREREREXEwGviIQxg9ejSlSpUiderUeHl50bBhQ8LDw83OkmRk9OjRWCwWevfubXaKOLAzZ87QunVrMmbMiIeHB8WKFWPnzp1mZ4mDiouL491338XPzw93d3dy5crFBx98gN1uNztNHMS6deuoX78+2bJlw2KxsHDhwgc+bhgGw4YNI1u2bLi7uxMQEMCBAwfMiRWH8Lg1Fxsby4ABAyhSpAgpU6YkW7ZstG3blrNnz5oXLEnek37O/VOXLl2wWCxMmDDhhX19DXzEIaxdu5bu3buzZcsWQkNDiYuLIzAwkJs3b5qdJsnA9u3bCQ4OpmjRomaniAO7evUqFSpUwMXFheXLl/P777/zySefkC5dOrPTxEGNGTOGyZMnM3HiRA4ePMjYsWMZN24cX3zxhdlp4iBu3rzJSy+9xMSJEx/58bFjxzJ+/HgmTpzI9u3byZIlCzVq1OD69esJXCqO4nFr7tatW+zatYuhQ4eya9cufvrpJw4dOkSDBg1MKBVH8aSfc/csXLiQrVu3ki1bthf69XVZdnFIFy9exMvLi7Vr11K5cmWzc8SB3bhxg5dffpmvvvqKDz/8kGLFir3QqbzIPQMHDmTjxo2sX7/e7BRJJurVq0fmzJkJCQm5f1uTJk3w8PBgxowZJpaJI7JYLCxYsICGDRsCd8/uyZYtG71792bAgAEAREdHkzlzZsaMGUOXLl1MrBVH8P9r7lG2b99O6dKlOXnyJDly5Ei4OHFI/7bmzpw5Q5kyZVixYgV169ald+/eL+xdAzrDRxxSVFQUABkyZDC5RBxd9+7dqVu3LtWrVzc7RRzcokWLKFmyJE2bNsXLy4vixYvz9ddfm50lDqxixYqsWrWKQ4cOAfDbb7+xYcMG6tSpY3KZJAfHjx/n/PnzBAYG3r/Nzc2NKlWqsGnTJhPLJDmJiorCYrHobFqJN3a7nTZt2tCvXz8KFSr0wj+/8wv/jCImMwyDvn37UrFiRQoXLmx2jjiwOXPmsGvXLrZv3252iiQDx44dY9KkSfTt25fBgwezbds2evbsiZubG23btjU7TxzQgAEDiIqKIn/+/Dg5OWGz2Rg5ciQtWrQwO02SgfPnzwOQOXPmB27PnDkzJ0+eNCNJkpk7d+4wcOBAWrZsSZo0aczOEQc1ZswYnJ2d6dmzZ7x8fg18xOH06NGDvXv3smHDBrNTxIGdPn2aXr16sXLlSlKkSGF2jiQDdrudkiVLMmrUKACKFy/OgQMHmDRpkgY+Ei/mzp3LzJkzmT17NoUKFWLPnj307t2bbNmy0a5dO7PzJJmwWCwP/NkwjIduE3nRYmNjad68OXa7na+++srsHHFQO3fu5LPPPmPXrl3x9nNNb+kSh/LWW2+xaNEiwsLC8Pb2NjtHHNjOnTuJjIykRIkSODs74+zszNq1a/n8889xdnbGZrOZnSgOJmvWrBQsWPCB2woUKMCpU6dMKhJH169fPwYOHEjz5s0pUqQIbdq0oU+fPowePdrsNEkGsmTJAvx9ps89kZGRD531I/IixcbG0qxZM44fP05oaKjO7pF4s379eiIjI8mRI8f93ydOnjzJ22+/Tc6cOV/I19AZPuIQDMPgrbfeYsGCBaxZswY/Pz+zk8TBVatWjX379j1wW4cOHcifPz8DBgzAycnJpDJxVBUqVCA8PPyB2w4dOoSvr69JReLobt26hdX64LFBJycnXZZdEoSfnx9ZsmQhNDSU4sWLAxATE8PatWsZM2aMyXXiqO4New4fPkxYWBgZM2Y0O0kcWJs2bR7aB7RmzZq0adOGDh06vJCvoYGPOITu3bsze/Zsfv75Z1KnTn3/aFDatGlxd3c3uU4cUerUqR/aIyplypRkzJhRe0dJvOjTpw/ly5dn1KhRNGvWjG3bthEcHExwcLDZaeKg6tevz8iRI8mRIweFChVi9+7djB8/no4dO5qdJg7ixo0bHDly5P6fjx8/zp49e8iQIQM5cuSgd+/ejBo1Cn9/f/z9/Rk1ahQeHh60bNnSxGpJyh635rJly8Zrr73Grl27WLJkCTab7f7vFBkyZMDV1dWsbEnCnvRz7v+Hii4uLmTJkoV8+fK9kK+vy7KLQ/i39zx+++23tG/fPmFjJNkKCAjQZdklXi1ZsoRBgwZx+PBh/Pz86Nu3L506dTI7SxzU9evXGTp0KAsWLCAyMpJs2bLRokUL3nvvPf3iIy/EmjVreOWVVx66vV27dkybNg3DMBg+fDhTpkzh6tWrlClThi+//FIHVuQ/e9yaGzZs2L++SyAsLIyAgIB4rhNH9KSfc/8vZ86cL/Sy7Br4iIiIiIiIiIg4GG3aLCIiIiIiIiLiYDTwERERERERERFxMBr4iIiIiIiIiIg4GA18REREREREREQcjAY+IiIiIiIiIiIORgMfEREREREREREHo4GPiIiIiIiIiIiD0cBHRERERERERMTBaOAjIiIiIiIiIuJgNPAREREREREREXEwGviIiIiIiIiIiDgYDXxERERERERERBzM/wDDJN2CGCW3YgAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 1400x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1400x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "    a = 1.\n",
    "    b = a + 4 * np.pi  # Two periods\n",
    "    u_0 = 2.\n",
    "    k = 2.\n",
    "    n = 40\n",
    "\n",
    "    (t, U) = rungeKutta(f4, a, b, u_0, n)\n",
    "    u = u4(t, a, u_0, k)\n",
    "    \n",
    "    figure(figsize=[14,5])\n",
    "    title(f\"Solving du/dt = {k}(cos(t) - u) - sin(t), u({a})={u_0} by the Runge-Kutta Method\")\n",
    "    plot(t, u, \"g\", label=\"Exact solution\")\n",
    "    plot(t, U, \".:b\", label=f\"Solution with h={(b-a)/n:0.4}\")\n",
    "    legend()\n",
    "    grid(True)\n",
    "    \n",
    "    figure(figsize=[14,5])\n",
    "    title(f\"Error\")\n",
    "    plot(t, u - U, \".:\")\n",
    "    grid(True);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "(euler-redux)=\n",
    "## For comparison: the above examples done with Euler's Method"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "from numericalMethods import eulerMethod"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1400x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1400x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "    a = 1.\n",
    "    b = 3.\n",
    "    u_0 = 2.\n",
    "    k = 1.5\n",
    "    n = 80\n",
    "\n",
    "    (t, U) = eulerMethod(f2, a, b, u_0, n)\n",
    "    u = u2(t, a, u_0, k)\n",
    "    figure(figsize=[14,5])\n",
    "    title(f\"Solving du/dt = {k}u, u({a})={u_0} by Euler's method\")\n",
    "    plot(t, u, \"g\", label=\"Exact solution\")\n",
    "    plot(t, U, \".:b\", label=f\"Euler's answer with h={(b-a)/n:0.4}\")\n",
    "    legend()\n",
    "    grid(True)\n",
    "\n",
    "    figure(figsize=[14,5])\n",
    "    title(f\"Error\")\n",
    "    plot(t, u - U, \".:\")\n",
    "    grid(True);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1400x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "    a = 1.\n",
    "    b = a + 4 * np.pi  # Two periods\n",
    "    u_0 = 2.\n",
    "    k = 2.\n",
    "    n = 160\n",
    "\n",
    "    (t, U) = eulerMethod(f4, a, b, u_0, n)\n",
    "    u = u4(t, a, u_0, k)\n",
    "\n",
    "    figure(figsize=[12,5])\n",
    "    title(f\"Solving du/dt = {k}(cos(t) - u) - sin(t), u({a})={u_0} by Euler's method\")\n",
    "    plot(t, u, \"g\", label=\"Exact solution\")\n",
    "    plot(t, U, \".:b\", label=f\"Euler's answer with h={(b-a)/n:0.4}\")\n",
    "    legend()\n",
    "    grid(True)\n",
    "    \n",
    "    figure(figsize=[14,5])\n",
    "    title(f\"Error\")\n",
    "    plot(t, u - U, \".:\")\n",
    "    grid(True);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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