{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Orbit theory\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now that we have potential density pairs which satisfy the Poisson equation, we will start to look into orbits in these potentials. We start off with simple point mass located at the origin acting as the source of the potential, and follow the orbit of a test particle in this potential.\n",
    "\n",
    "\n",
    "### Spherical coordinate system\n",
    "\n",
    "We will use a spherical coordinate system. From simple geoemtrical arguments one can show that\n",
    "\n",
    "\\begin{eqnarray}\n",
    "\\hat{r} = \\sin\\theta\\cos\\phi \\hat{i} + \\sin\\theta\\sin\\phi \\hat{j} + \\cos\\theta \\hat{k}\\\\\n",
    "\\hat{\\theta} = \\cos\\theta\\cos\\phi \\hat{i} + \\cos\\theta\\sin\\phi \\hat{j} - \\sin\\theta \\hat{k}\\\\\n",
    "\\hat{\\phi} = -\\sin\\theta\\sin\\phi \\hat{i} + \\sin\\theta\\cos\\phi \\hat{j}\\\\\n",
    "\\end{eqnarray}\n",
    "\n",
    "We will often require the derivatives of the unit vectors in spherical coordinate system with respect to time. \n",
    "These can be obtained by differentiating the above with respect to time,\n",
    "\n",
    "\\begin{eqnarray}\n",
    "\\frac{d\\hat{r}}{dt} = \\left[\\dot{\\theta}\\,\\hat{\\theta} + \\sin\\theta\\,\\dot{\\phi}\\,\\hat{\\phi}\\right]\\,,\\\\\n",
    "\\frac{d\\hat{\\theta}}{dt} = -\\dot{\\theta}\\, \\hat{r}\\, + \\cos\\theta\\dot{\\phi}\\,\\hat{\\phi} \\\\\n",
    "\\frac{d\\hat{\\phi}}{dt} = \\sin\\theta \\dot{\\phi} \\hat{\\theta} - \\cos\\theta\\dot{\\phi}\\hat{r}\n",
    "\\end{eqnarray}\n",
    "\n",
    "### Spherically symmetric potential\n",
    "\n",
    "The location of the test particle can be specified by its position vector $r\\hat{r}$. The velocity of the particle will be given by differentiating this equation\n",
    "\n",
    "\\begin{equation}\n",
    "\\vec{v} = \\frac{d (r\\hat{r})}{dt} = \\dot{r}\\,\\hat{r} + r\\,\\left[\\dot{\\theta}\\,\\hat{\\theta} + \\sin\\theta\\,\\dot{\\phi}\\,\\hat{\\phi}\\right]\\,.\n",
    "\\end{equation}\n",
    "\n",
    "The acceleration can be obtained by differentiating the above with respect to time once again.\n",
    "\n",
    "\\begin{equation}\n",
    "\\frac{d\\vec{v}}{dt} = \\left[\\ddot{r} - r\\dot\\theta^2 - r \\sin^2\\theta\\dot\\phi^2 \\right]\\hat{r} + \\left[r\\ddot{\\phi}\\sin\\theta + 2 \\dot{r}\\dot{\\phi}\\sin\\theta + 2\\dot{r}\\dot{\\theta}\\dot{\\phi}\\cos\\theta\\right]\\hat{\\phi} + \\left[r\\ddot{\\theta} +2\\dot{r}\\dot{\\theta} - r\\dot{\\phi^2}\\sin\\theta\\cos\\theta\\right]\\hat{\\theta}\n",
    "\\end{equation}\n",
    "\n",
    "If we compute the time derivative of $\\vec{r}\\times \\vec{v}$, we find that\n",
    "\n",
    "\\begin{equation}\n",
    "\\frac{d(\\vec{r} \\times \\vec{v})}{dt} = \\vec{r} \\times \\frac{d\\vec{v}}{dt} + \\vec{v}\\times\\vec{v} = \\vec{r} \\times \\frac{d\\vec{v}}{dt}\n",
    "\\end{equation}\n",
    "\n",
    "For a central force problem (either a point mass or spherically symmetric mass distribution with the center as the origin), we will have the force per unit mass to be in the same direction as the position. Thus the cross product above on the right hand side gives zero. The cross product of $\\vec{r}$ and $\\vec{v}$ defines a direction and since it stays constant during an orbit, it follows that the orbit is planar.\n",
    "\n",
    "In these cases we can simplify the problem by working on a special coordinate system, where $\\theta=\\pi/2$, and then $r$ and $\\phi$ act as the coordinates on the plane. A rotation of the coordinate system will have to be done for the orbit of each star. Remember that this will not mean the entire system of stars orbiting in this system has to go in the same plane, just that the plane of the orbit of each individual star is going to be planar.\n",
    "\n",
    "The force per unit mass given by\n",
    "\n",
    "\\begin{eqnarray}\n",
    "\\ddot{r} - r \\dot\\phi^2 &=& -\\frac{d\\Phi}{dr} \\,, \\\\\n",
    "r\\ddot{\\phi} + 2 \\dot{r}\\dot{\\phi} &=& 0\n",
    "\\end{eqnarray}\n",
    "\n",
    "The second of these equations can be integrated to obtain $r^2\\dot{\\phi}=L=$ constant. This when substituted in the first equation removes the $\\phi$ dependence. Thus we obtain\n",
    "\n",
    "\\begin{equation}\n",
    "\\ddot{r} - \\frac{L^2}{r^3} = -\\frac{d\\Phi}{dr}\n",
    "\\end{equation}\n",
    "\n",
    "Integrating once with respect to r, gives an equation for $\\dot{r}$. Noting that $\\ddot{r} = \\dot{r}d{\\dot r}/dr$,\n",
    "\n",
    "\\begin{equation}\n",
    "\\frac{1}{2}\\dot{r^2} + \\frac{L^2}{2r^2} + \\Phi(r) = E\n",
    "\\end{equation}\n",
    "\n",
    "\n",
    "which implies\n",
    "\n",
    "\\begin{equation}\n",
    "\\frac{dr}{dt} = \\pm \\sqrt{ 2\\left[E-\\Phi(r)  - \\frac{L^2}{2r^2} \\right]}\n",
    "\\end{equation}\n",
    "\n",
    "\n",
    "Either signs are possible for the rate of change of $r$. The points where the velocity equals zero correspond to maximum and minimum radii possible in an orbit.\n",
    "\n",
    "- Qualitatively plot $L^2/2r^2 + \\Phi(r)$ for the point mass potential. \n",
    "- Draw a horizontal line corresponding to an energy $E$ and show the part of the diagram which an orbit with energy E can occupy.\n",
    "- Suppose this was the potential corresponding to the solar system, where would the planets lie? Where would comets with elliptical orbits lie? Where would comets with hyperbolic orbits lie?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Radial and angular oscillations\n",
    "\n",
    "One can compute the time required to undergo one oscillation in the radial direction from $r_{\\rm peri}$ to $r_{\\rm apo}$ and back. This can be obtained as twice the integration of the velocity equation from $r_{\\rm peri}$ to $r_{\\rm apo}$ using the positive root.\n",
    "\n",
    "\\begin{equation}\n",
    "T_{\\rm radial} = \\int_{r_{\\rm peri}}^{r_{\\rm apo}} \\frac{2dr}{\\sqrt{2\\left[E-\\Phi(r)\\right] - \\frac{L^2}{r^2}}}\n",
    "\\end{equation}\n",
    "\n",
    "During this period, the particle will also move in the azimuthal direction,\n",
    "\n",
    "\\begin{equation}\n",
    "\\Delta\\phi = \\int_0^{T_{\\rm radial}} L \\frac{dt}{r^2} = 2 \\int_{r_{\\rm peri}}^{r_{\\rm apo}} \\frac{Ldr}{r^2}\\frac{dt}{dr} = 2 \\int_{r_{\\rm peri}}^{r_{\\rm apo}} \\frac{Ldr}{r^2 \\sqrt{2\\left[E-\\Phi(r)\\right] - \\frac{L^2}{r^2}} } \n",
    "\\end{equation}\n",
    "\n",
    "- Integrate the above equations for the different potential-density pairs we studied in the previous chapter: point mass, homogeneous sphere and isochrone cases.\n",
    "- Show that for the Kepler potential $\\Delta\\phi = 2\\pi$ while for the homogeneous sphere $\\Delta\\phi=\\pi$. This will imply that the orbit will be closed in these cases.\n",
    "\n",
    "In the case of a generic isochrone potential when $2\\pi/\\Delta\\phi$ is not rational, the orbit forms a rosette. The orbit will take the particle on an orbit which over time will fill the entire region between the apocenter and the pericenter.\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Integrals of motion\n",
    "\n",
    "A constant of motion is a function of $f(\\vec{r}, \\vec{v}, t)$ which is a constant along any orbit in a given potential. For three dimensional motion, any particle will have 6 constants of motion. We know that one can integrate the equations of motion to obtain the $\\vec{r(t)}, \\vec{v(t)}$ at any given instant given the initial conditions $\\vec{r(0)}, \\vec{v(0)}$. Inverting these equations will give us the initial conditions which are constant. Thus the inverting function would be a constant of motion.\n",
    "\n",
    "Integrals of motion are special constants of motion which do not depend upon time, but just on the phase space coordinates along the orbit, such that $I[\\vec{x}(t), \\vec{v}(t)] =$ constant. Some integrals of motion can be easily expressed in terms of the phase space coordinates, say for example, the energy or angular momentum of an orbit.\n",
    "\n",
    "The integrals of motion are quite important to reduce the complexity of orbits. For a static spherically symmetric potential, for example, we have the energy (one number) and angular momentum (three numbers) to be integrals of motion. These integrals of motion reduce the dimensionality of the orbits which are possible. In the case of the Kepler potential, there are 5 integrals of motion, and so the dimensionality of the orbit is reduced to just one. The fifth integral of motion corresponds to the angular phase in the plane joining the focus and the pericenter. This reduces the motion in 6-d phase space to collapse to a single dimension. But Kepler potential is a special case: consider for example the spherically symmetric potential\n",
    "\n",
    "\\begin{equation}\n",
    "\\Phi(r) = -GM\\left[ \\frac{1}{r} + \\frac{a}{r^2} \\right]\n",
    "\\end{equation}\n",
    "\n",
    "For motion in this potential, we start with the radial acceleration equation\n",
    "\n",
    "\\begin{eqnarray}\n",
    "\\frac{d^2 r}{dt^2} - \\frac{L^2}{r^3} = -GM\\left[\\frac{1}{r^2} + \\frac{2a}{r^3}\\right]\n",
    "\\end{eqnarray}\n",
    "\n",
    "Using $r^2\\dot\\phi=L$, and substituting $u=1/r$, we obtain\n",
    "\n",
    "\\begin{eqnarray}\n",
    "-\\frac{L^2}{r^2}\\frac{d}{d\\phi}\\left(\\frac{1}{r^2}\\frac{dr}{d\\phi}\\right) - \\frac{L^2}{r^3} = -GM\\left[\\frac{1}{r^2} + \\frac{2a}{r^3}\\right]\\\\\n",
    "-L^2u^2 \\frac{d^2u}{d\\phi^2} - L^2u^3 = -GM\\left[ u^2 + 2au^3 \\right]\\\\\n",
    "-\\frac{d^2u}{d\\phi^2} - u = -\\frac{GM}{L^2}\\left[1 + 2au\\right]\\\\\n",
    "\\frac{d^2u}{d\\phi^2} + \\left(1-\\frac{2GMa}{L^2}\\right) u = \\frac{GM}{L^2}\\\\\n",
    "\\frac{d^2u}{d(Q\\phi)^2} +  u = \\frac{GM}{Q^2L^2}\n",
    "\\end{eqnarray}\n",
    "\n",
    "The solution of the last equation is\n",
    "\n",
    "\\begin{equation}\n",
    "u = C\\cos\\left[(\\phi-\\phi_0)Q \\right] + \\frac{GM}{L^2Q^2}\n",
    "\\end{equation}\n",
    "\n",
    "with two constants $C$ and $\\phi_0$. The constant $C$ is a combination of $E$ and $L$\n",
    "\n",
    "\\begin{equation}\n",
    "C^2 = 2E + \\left[\\frac{GM}{Q^2L^2}\\right]^2\\,.\n",
    "\\end{equation}\n",
    "\n",
    "The second constant can be inverted to obtain $\\phi_0$ as a function of $r, \\phi, E$ and $L$. This gives another integral of motion for this more general case,\n",
    "\n",
    "\\begin{equation}\n",
    "\\phi_0 = \\phi - \\frac{1}{Q}\\left(\\cos^{-1}\\left[\\frac{1}{Cr} - \\frac{GM}{CL^2Q^2}\\right] + 2n\\pi \\right)\n",
    "\\end{equation}\n",
    "\n",
    "The question arises what this integral signifies exactly and does it simplify our understanding of the orbit? To begin with the orbit is in 6 dimensional phase-space. Suppose we have been given $L$, $E$, $\\phi_0$ (corresponding to 5 integrals of motion), and the radial coordinate $r$, do these numbers give rise to a single (or discrete number of points) $\\phi$ value modulo $2\\pi$? If Q is a rational number then one can indeed make such a choice by forcing n to be the integral denominator of Q. But for irrational Q, no matter what value of n we choose, we can get arbitrarily close to any value of $\\phi \\in [0, 2\\pi]$.\n",
    "\n",
    "This shows that the integral of motion corresponding to $\\phi_0$ is not really that helpful in reducing the dimensions of the available phase space further in the general case. Such integrals of motion are called non-isolating, while those integrals, whose values are once specified, reduce the dimension of the available phase space, are called isolating integrals.\n",
    "\n",
    "When we decide to compute orbit families for a given potential, we would want to consider doing it as a function of the isolating integrals of motion."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Axisymmetric potentials"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For the axisymmetric cases, we should be using the cylindrical coordinate system. The unit vectors in the cylindrical coordinate system are given by\n",
    "\n",
    "\\begin{eqnarray}\n",
    "\\hat{R} &=& \\cos\\theta\\,\\hat{i} + \\sin\\theta\\,\\hat{j}\\\\\n",
    "\\hat{\\theta} &=& \\sin\\theta\\,\\hat{i} - \\cos\\theta\\,\\hat{j}\\\\\n",
    "\\hat{z} &=& \\hat{k}\n",
    "\\end{eqnarray}\n",
    "\n",
    "The derivatives of these vectors are given by\n",
    "\n",
    "\\begin{eqnarray}\n",
    "\\frac{d\\hat{R}}{dt} &=& \\dot\\theta\\hat\\theta\\\\\n",
    "\\frac{d\\hat{\\theta}}{dt} &=& -\\dot\\theta\\hat{R}\\\\\n",
    "\\frac{d\\hat{z}}{dt} &=& 0\n",
    "\\end{eqnarray}\n",
    "\n",
    "\n",
    "The position vector, velocity vector and acceleration vector will be given by\n",
    "\n",
    "\\begin{eqnarray}\n",
    "\\vec{r} &=& R\\,\\hat{R} + z\\,\\hat{z} \\\\\n",
    "\\vec{v} &=& \\dot{R}\\,\\hat{R} + R \\dot\\theta\\,\\hat\\theta + \\dot{z}\\,\\hat{z}\\\\\n",
    "\\vec{a} &=& \\ddot{R}\\,\\hat{R} + 2\\dot{R} \\dot\\theta\\,\\hat\\theta + R\\ddot{\\theta} \\hat{\\theta} - R\\dot\\theta^2 \\hat{R} + \\ddot{z}\\,\\hat{z}\\\\\n",
    "&=& \\left(\\ddot{R} - R\\dot\\theta^2\\right) \\hat{R} + \\ddot{z} \\hat{z} + \\left(2\\dot{R} \\dot\\theta + R\\ddot{\\theta}\\right) \\hat{\\theta}\n",
    "\\end{eqnarray}\n",
    "\n",
    "Due to axial symmetry, the gradient of the potential is only in the $R$ and $z$ direction. Therefore, the component of the acceleration in $\\hat\\theta$ direction should equal zero. This implies, $R^2\\dot\\theta =$ constant which we define to be $L_{z}$. The other two components give a coupled equations in the $R$ and $z$ plane.\n",
    "\n",
    "\\begin{eqnarray}\n",
    "\\ddot{R} &=& -\\frac{\\partial\\Phi}{\\partial R} +\\frac{L_z^2}{R^3} \\\\\n",
    "&=& -\\frac{\\partial\\Phi}{\\partial R} -\\frac{d}{dR}\\left(\\frac{L_z^2}{2R^2}\\right)\\\\\n",
    "\\ddot{z} &=& -\\frac{\\partial\\Phi}{\\partial z}\n",
    "\\end{eqnarray}\n",
    "\n",
    "Summing the two equations and integrating we obtain\n",
    "\n",
    "\\begin{equation}\n",
    "\\frac{1}{2}\\left(\\dot R^2 + \\dot z^2\\right) + \\Phi_{\\rm eff}(R, z) = E\n",
    "\\end{equation}\n",
    "\n",
    "The effective potential includes the gravitational potential plus the energy related to angular momentum. All the orbits of a given energy should lie in a region with $\\Phi_{\\rm eff}(R, z)\\leq E$.\n",
    "\n",
    "Let us explore some such orbits in the code below."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from galpy import potential\n",
    "from galpy.orbit import Orbit\n",
    "from galpy.util import bovy_plot\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Populating the interactive namespace from numpy and matplotlib\n"
     ]
    },
    {
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      "text/plain": [
       "<matplotlib.legend.Legend at 0x7fb250b30c40>"
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     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "findfont: Font family ['serif'] not found. Falling back to DejaVu Sans.\n"
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tHDF9AdB/D3rAzmZyzxUE298DoB/2y9576Uv43fou/Tril2foXElbKMhcq8bnfhoJz9Z36KZqrsMZiUYS0khEP/4uzUMs1ej3UhbI5NIZCVG6NM+NEPp9Ng+ApFN5U7tDIg0AuQJeee0P8fwv/qcT316v1w8pcsvLy3jppZeifMqpcfTI28PvA8c+Mfw+Pw9UHh8u7mmB0gX2P6InVRO1JTrhHvx1cs8VBPsf0LwQuy0WEU3ZIr5zl34dscXYZNPml91Jthh+Sdthx/LLU8PXTj1D1bhGynpY7b5DN6P508PXTj1jhCBTpozs3KU5lVJu+NqpZ+hcSRup3r07OlcAGqpLm08AetiU8sPvTRUubbboOs3fy9psyeRw62t/ifPPPH3o7evr61haWpqYB1er1bC5yc8BPJv0A8SKToOG4o6POe3kD9JTU5rQeBeAProZSVmqKqaNiJob66LNlvJxWm6fNpKwO4EknPgBuvil1i9PDl8z8ys//s4wPykN2L1Lc9xMVQQATn6aft36LrD4RDLPFQQ7d6lPTFUEoH7RNWD7+6Nhbt6xe3d0fAHUL9/4Hdrotnw8kccKhJ27wCd+evS1bBHobVESQQjwB/+YvxZIj/wQ8HP/8/B7XQMGfaC4OPq+bJFWm9uwvr6ORqOBW7dujShTL774IgDg85//fGSP7QsDBYAOZGXrpcbeHq04tSmi9XodN2/exNraGqrVKq5fv45Lly7hypUr1nsuXLiAer0+MdSaBI6W8vbwDv16bIy8nfhBqsil6QqQSYQHoCc/82dpwSTCA1Bbdt+J/XFCYecuJWoLZ4avZfNU3U2jX+ZODROvAaDyGM0f2U2ZLTt3J88V82dpwu7dyXPF/FmasONiS5r80m8DzfuHx1g2D0BP160RA6MZr12tMr8f9Cm5A22xsbm5iStXruCVV14ZSfK/efMmHyRnYPSktKmIm5ubqNUWhz8DzWm7ceMGqtUqvvCFL+DGjRsjxA0AlpaW8Prr/BQFHS3lzbzio3p29PXFJ2lcvPmAtqlIA0xSM35qrT0FfPdf0zwyKSXu3X2HEoL5sb/94lO0wW2asPsOJWq2kx4AoPZk+jbW3XcPj6+MBFSfSNfGChjVmT80+lr5OK2iS5NfdJ3asvSTo6+bpCFNfuns0vzQQ6Ta+H73LnDmUvzPFQRmv8BxIioZ68CgR9cEu8LFK8ybFKRx8iYPf54rYGNjAysrK6jXaZsnM9TYaDSsvLF6vY4XXngB9Xp9hBCtrq7ixo0buH79OlZWVqZ+xPX1dVy7dg23bt1yJ4kWER2uxzs7Ozh37hxN1dEGdE0zMCnfzcTS0hJXLUOOlvK2b9xptvDY6Ovm4pEmlWf3Lt14xsMKtSXax24/Ra1Pdu5SQmCbRACoLfsfpivhd/cuJWrjqC2lr2BhkloFpE/d1QY0r218YyWEvpYmvzQ/pq0Pxv1SqACl4+myxVxvx/1SfQIASZctTpEQU71K060kpiI1fgA1yZxBiEySc/PmTTz33HPW2zY2Nqy8sfPnz+P555/H0tLSISXrzp07gYib+f8+f/689xvNv7tkC5s2Gqgu1kZsAdzz3QCa87azsxPoeaPA0SJvex/SvjWFMeeY6kKauq3vfUBDc/a8FyCdJ/D9D4HqmcOv154CoKfMLx8CC2cPv774FM3hScsF4tqAXuDs5JfdFF263fyYHmgWJtiy+FTK5opxKHPzS1qw9yH9uvD46Ou5Ag3Pp8ovDrZIMgAyQhK4x0ABQGilrB0ORHR1dRVXr161vr9169aIelWtVkcI0draWmDSNjUGCrWDDKlOtVpFY9/I3bPZMv7c49jZ2UGtVnP8edw4WuRt/0O6KIwTnuoZACRdytvB/ckhXvMUm6ZT68F9YP7Rw68vpswWbeAcereHgtKA1hbNbRkPZQPUL/0mveA5DTi4R79WJoyx2lP0cJCWi6oP7tOvTn7ZeSfWxwkF0y+T5n7aiOjBPZoEXz4x+johlMClSnlTaPuW8X0yk6UkyJYr1mg00Gg0RkjP+vo6Ll++PPGjr1+/7kiQ1tbWsLa2htXVVdTrdayvr2NxcRGrq6tYX1/H9evXrRCt399d/3d/jGuf/6cjv1er1XDnHUMQsNmyvr6OCxcuWHaN/782Nzc9b2OIEylJimKE/Q8nL+DZPH19N0UKz8H9YW8kO+YfpYtFWtQqTTPI2yOHf2YRnpTY0tqmTZIn2WIPzZtNPHmGtbG6EdF3gLkTh3/OGyzC4+CXQZ/aO66a8Agvv/zVq3TzlXKHf84bDu4bhGdCRenik8D3/zD2RwoMcw3LTNBDsvIISeAeTuNnAhEdJzP1en1i3lij0cDa2ho2Nzexurp6qAq1Xq+PVKxevnwZt27dwsWLF7G8vIylpSUsLy/jwoULuH37tu/fhabi+q/8Q9RseXFLS0vY2W3QsacOFVE7CZ30jJubm7h0iZ8czJkgb4SQZwE8+4lPfML9jfsfHU70NVF9Ij3Km6bRyqZJm1EmQ4moGZLgHW0XwlM6RvvWpSV/z21jNYlBWvziRngqRs7o/gcA+FnMHOHXL6kgby6Ep/IYAJ3aO16UxSMO7tNq5vFcV4D6ovkx3VzHc694xMG9yXMFoIQnTf3RNOVwpakJST5UOWsWHpw7dw63b9+emDe2s7OD5eVlLC8v46mnnsKVK1dGCg1u3ryJarVqqV32fmr2UGWtVkO9Xh/Jd3P73aUzp7F07hywMHyearVKCw8keSScff36dbz00ku4dOnSxLDu7du3cePGjcl/lwQwE+RN1/XXALx28eLFzzm+aaDSCTZJeQPoYpeWC7fbD2mlzJzDYlF5bFicwTusjXWCLYRQf6XGFoPwTPJLcZH2SdpPC3lz8YtZ8JMmv5DM4ZAWYCOiKfLL3EkHwmPzSyrImwvhsRPRNPTgO7h/uEGvCUmm67WujeRecYuBQovhJkHKDe8KNWBXqK5du4Zr164d+jU7oXv55ZetSlETjUYDly9ftkjZnTt3fD+u4+/qOmoLc4dz90DVufpfv4XznxlGr7zy8HZ2drgKm6ZgJDFC8wGdPE7krXKaLhRp6PXmtrECBnlLi1rlksMDUFtSo1b5IaJpseU+AAKUTx7+WaFKC3/S5JeyA+Ex14M0+cWV8IAWM6UBB/dd5n3a/HKPqoiTYIYg09DrTdNoJMQp7G4SUWOfPHfunKV4NRoNvPLKK54kyN4uxMTVq1dHeqjZ1TP7v3d2dg5VmTr/rlFQNcGWlZUV3Px/v+K7kMRsTcITjg55a31MvzpNsPlH6aBspyAJ25PwPArszxIRTZHCA0KVkUlYSJMthsIzqVcgIYZf0rKxuhCewgJVGVLjFzfCkzZF1EV5M0PYabBF6dKedU5+yaSJvBnP6EjejNe1vpUjZpKpz33uc3j55ZdH1Kl6vY6XXnoJ9Xoda2tr1uvVahXXrl2zCNzy8jLOnTuHtbU169YGExsbG1hfX8eLL76IV1991fpc87Mn/e76+jo2N+/ihS/+5rCy1IZqtYpLFy9g8x1/xUpu/d+SwkyETX2h9ZB+nRQ6AWwnvY+cN19e4EV4Fh6nk7C1Bcw7kFVeYIUaHZ6z8ihtWTHWTJFLHNyj48tp4as8Btz9WrzPFBRuhAdIn4rolM9mKqKpUavuAWd+bPLPChVAnk+HX9Qe0NnxVt7S4JemS34oYGvUm4J2ISbBnBBqBGCzRUG1WsWFCxesQoRr164dIjjnz5+3CJcdk15zUuyee+45VKvVkc8+f/78SGh10u/e+fZtmsd+bPKef+WXfhGrX/w1rFy67Lq3xNraZAocIfK2Rb+Wjk3+udne4eAegB+N5ZECww/hAegizj15u0ebizoRnoXHqCLa2nInEzzg4L7737vymBGaTwkRndTCwcTC48DmH8f2OKFwcA94/ILzz9Oi7qp9mu/qlOsKGOpuCsibFT1wmC/5eSC/kA6/uBX3ACkLm3oob2MqIo+kxoIPIrryn/8SGg+3UD01oW+igeXlZa5y3UwcnbCpGQ51uuh43qa88Y72Ns07cqrCSlO+SGvbXem08nhSYEt7e3KOmInKozSfpPkgvmcKitZD9zYglUcpKRqo8T1TEGgDqvC4+iUlhKdtRA+8/JKWuQJ4z5c0+MXsd+gU1clItEI4DcqbZsznjIOuYxHR6G1ZX1/HxsYGXnjhhWAfYNnicFA2bKnOl1w/hkfiBhw15U2SgXxl8s/nTtIJZoYkeUb7obOCCNC7NYGULOI7HrbY21K4qCc8oP0QqJ1z/rm9LYVT4QwP0HUfY+wxWgDUdAlJ8oDuHn1ON1sWHqPqCe/90Uzy5uWXB9+O53nCoG1cM+TllzSETf34RcqlRHnzIDwWEY3eluXlZezu7gb/AE2d3GzYRGYYAk4jjo7y1npIw3OOjpRoGDIVypvHxlo6RgetmYvBM9oPgZLLlSNmTsxBCtQqLyJqhlV490u/RZuKutqSEr/42VjnHwGgD1MreIUvW05TO3i/McKyxW3uP5IOldovedNSQBI0lZIzt5YmabLFSUEEaE/UmIhoFDg65K297RwyNVE5PRvkLWP0tGpyvhkBPohojS4kZrUwr1D7QG/f3RYzRNTk3BY/m5EZuuPdL35Iwkz55SRVGs338go/tpRPGkSU86r59kPaOkceDb/p9rt/M7mhqsUzBgN3wgPQn/OeLgF4kzeAVtNH5Bc94rufjw55a215k7f50ykJm+4AZZdFD6CLOO+nVk2j+UglF79kjPsCebelY4SB3PxSPg6AzAhJMBLNeffLVLbMgl9MIpoCvxCJtmpxwtwpurF2QoTO4sAExT2bzUJVbaRAylKFJ+INPTR8EZ60KG9+iGh0tiiKAkmKrjDtCJG3bXeSANDFgvcF3E8+EmCcWjm3pdvwzkcCqC28q4h+QyelGv9+8ZOPZCZnz4JfUqMiGn4pLjq/J00qYumYcxoLkCK/HE79KBQKaDabwxcyOQA6LVjiGZrqXQlvqoizQEQjVBH39/cxPz8fyWcDR428OVUDmSifoAoKz5Kw0gbUrjfhSQMR9UMSgHSoiH5IApASv/iwJZunFc+z4JdyitSqwoJ7UcVcysibG9Kk7o7ZcuLECWxtbaHdbtPwmUkieN5bAP+hRl2j//EKXfdHRBmriLquo9/vY3t7G7u7uyP3srLG0ag27bcBpeUj1GiQu/ZDfvuj+SYJtnyRDKcc3U8+EkBt2f5e9M8TBn79Uj6Rjo0V8OeXNKgi2eKhfKQRyCXa3DYNKqKfeQ+kwC8exT2AjVSnwC+1p0ZeKhQKOHXqFO7fv49er0cP3M2PgYcAsoVkntMP9j6ic+F+2/k9/Ra1eefb/FZnaxqw/zFQVID8nvP7uvs0ArSbZXbvrCRJmJ+fx9mzZ5HP55l85iQcDfJm9hTyCpuWbTI9r+TN7CnkZxE380W8SGtSaE9hS/MBPU25hVmShG+/nALe/3r0zxMG7W2aj5R3yUcCjHA25ySh5YPwAPTglkKF5xDkOUpWefdL+yFw/JPu7zEP09z7ZTIRXVhYwMKCMYcevAl8+Tngym8Cn/qlmB/QJ/ot4H/6LLD8T4Dzv+L8vrfXgd9/Dvj7XwGe+In4nm8abL8NvPoc8HdfBj71nPP76r8D/Nv/GvhvvgUsPhnb47EAp5IMY3SMe9K8lATzpMdzy4BpQo0A3ydw32rVSdoUsutygkoafvKRgKEiynO+iJnD46XYzqWAvHm1ojExd4rveQ/4I2+EpMgvHrYUqrQ3J89r2EABentThIA5HmPTpH4AfPvFd/QgBX5xwEyQN0LIs4SQ1b09h829a5C3gken5DQkYU9DeAC+T63TLhY8b0h+8pEAurEqbaDfdH9fkvCzsQKzQxKAdFQ0+wk1AvzniGqaP1sI4V/dtQ7THiShuEjVbJ79MvXewrNf/O4tKVF3J2AmyJuu66/pur5iSdTjMJW3ogd5s6qb0kDeZuBE4ScfCUhH1ZlvkpCGhW8KktA/oDmlvMI3EU1JIcksqIi9PVp1OQsHBL8kIZPhP0fUN3k7TvPDZsEvaVARHTAT5M0TlvLmkcOTr/Av07cf0onjlY+UhhNFe8f/ZgRwbstDoOjHljSQt4fe4V/Alrd11YAAACAASURBVGbAsy1+x9hJuk6oveifKQj6bUDt+BtjvKuIftUqID3kzbdfeLbFp18yEiVFXI8xn36xom0c+8UBR4O8dXyGTU2Z3kw+5xHdPUpCvfKRzHwRnidYd8/bJ0A61KrunreyC6SjiapvWzgPZ2savfXCzxjjnVSb+Z5+/dLe4ffaH79pLAD/IeBp/ZIGW3z5hXOlurtHW57IZff3STlK8Hj2iwOOBnnrNozqOR8N88rH+Q45mOTNC4TQUwXP1+T4taW4aFyRlQJS7QXzpNfm3RY/pNqo3ubVL719APps+MXaWP3YchyAPlRSeMNUthhrGK9XZE1rS4vn9dgk1RXv95aP8ztXgOF67Kc7QfkEv2uYC44Gees0/DuSd5neL0kAqPzNNXlr+LMlk6GnI65t8UtEDRmf1411oNCCCj+2mPkkvPplmo1V2BIfprVFH9A8OR4xlS0pWMOyRdqA2wulY/zb4nufPMbveuyCo0Heug1/sjbAPwufelDO0gTj1BZd929LVqa5lbza0t2nX2eBJPSC2MLpIj5NSIt3vwQiopz7Je9DrSodo3mLvBb4zMp6DMyWyOGAo0HeOg1/ix5ghE0/5rcPV2/f30IB8H+i6O77k+gBaguvF1SrXXrFim+/1Pj1i9/iHoDmk0h5eqUcj5glkhCIiHK6Ic3aASFf8b6GCeDflu7+dOStu8fvdV+9KW3h1ScuOBrkzW8CNkBvYRj0gd5BtM8UFH7zkQC+B6WVTD4Dp6NpSALAt1+msYWQ2bGlsEDzKrm1ZQpSbZIEnkk1kbyTyYFh5SOvpHpatQrg2y9T28LpgXpaWzo7/Ao2Djgi5G0K5c1cLGZlgnUbfJ6O+k16sfFRIzxAOmyZBXXX8osPWzISLYyZBb9YhIdjWwoVfznI3KtVe9PNFYBvW3xHQlIwxqbxi6YO1e2U4GiQt84UOW88h08GKiU9fkmCmRzP4+loasJjKG88no6myUcCjOILDscXMF14DgBKPBMe05Zp/MKrLXs0RJ3zcal5Nk8vF+d1jAVReHj2y9S2CL9EjlmyxQGzT950fTrlrcix8jb1xsrx6SiIWsXr6WgWlbdZsmUqFZFjW/z6BOA/zcCvLfIc7VfJrS0+K+YB/knCrBAetW9UzM+AYOOC2Sdv/Rbd9KcmPDyqVVP04QH4nmBBNlaAb1umCTkoLUDpRvdMQTFr5E2eA6Ssv/fzHgKeirxx7he/tqQhr9J3JKQKgPBpyzQV8wDf6/HUIgfHtrhg9smbSXj8hk15Vt6mqdIC+E6QDTzBeCTVAQgPwKdfuns0cV+e8/f+0jGalqANon2uIAiiVvHoE2C6SkCAb8IzTaESwDmpnsIWnvMqzYr5aVNyeLQlSEoOwKctLjgC5G3afCTzdMThYhGUJPA4KIUt/NqSr3hfv2aidAyAPryCjidME9IChoSH17zKoxg2BfglPNNWzAP8+mXaNSxXAHLlGdknBXnjE5Za5TOklZGo03k8gc/SoJyWVPNuiyQDWR/J5ADn5C2AKgLwaUsQhWfQp0VBvCFQ2JTDNQyYrt0RwK+KOG3FPMCvLdPuLcDs2JKv0HtQebTFBbNP3sx+bX5zqwB+m6hOfToqpuB0NCM5b36vXwNSYMuUcwXg15ap5v2M+aXf5C+v0qyYn9YvvPoEmNIvnJJqKwd5llREn37hPa/SATNB3gghzxJCVvf2Jtx/1zfJm49L6U0UOc19mTbJH+B3UHb3gFwJkHL+3s/z6WhqksBx49FpVRHec1+mDWkBM2ILp3mV0+a6AsPbVXjLqwykVvFOeI6g8gbwS6pdMBPkTdf113RdX1lYmOAsU3nzm4ANcK68kSmJAqf5ItPmIxHCbx+uIDk8wGzYwr1aFcQWzua+0gUGvdnwyzQ3RZjgNa8yDEngLa8yqC28HQ4AQd5mBr0ZUt6se/SmcBu3p6Mp85EAfm2ZNrdKytH382jLrJA3XZ+d/L2gmxHA34YUxhbe1uSgtgx6tIUVTwhKqnkbX8D0FfMAv4qoC44AeTOSj6d2JKctKabJrwD4JTzThhoBvheLWfGLeUDwC7kEZIv82dJvAfpgNvL3zFDjVPlIJnnbZv88YTBtARkw9EuLM1ssvwTJq+TMlkB+OUb/Bmo/mmcKCnMN85uDDBjrMWc+8cARIG8HlLhNo1YVazRXjrtBeTCdggjQ/CXewg1AMFuK1eEJkSfMil90fXb8EkRxzy8AIPz5xSIJU9hi5i1yZ0uQSIhhC7djbArCw7NfMln/FfMA336ZVhgw12PewtkuOALkbX/6zahk5CTxJtObRHQaFKtUGdK0aJ4pKPpNID+lLTwSHoCqu/IMEJ5+C4A+G34x231M45dMhioPvPnFjB5M4xdeN9Z+gEgIz4QHmB2/yHPTqVU8+2XaNaxYpUo9j22CHDD75M0clNOgyGk1YBDCU1wEoPN3J+isEB5dD+4X3ha9IBsrQG3pTqj0ThJBNlZgdvySK9KL7HmzJZDyZhymeZv7/SZApOnUKm4JTzOY4g7w6Zdp1zBe/eKC2SdvQcJAZo4Fb8pbvxV8UHI3wVrBTkdKG1B70TxTEChtAHowv/DmE0vhCbCI87boBSWiM+WXRf5sCaS8Gbl+vI2xnnFom0at4paIBonqmBEqzmzpBTlMc7pPukCQt0ngVXnrBVERzRMFRwUYum4sFuXpfo/H05FVEDOlLSbh4SnHwuyJGMQvPI0vIKRfOLMlqF94JNW9Jq0EzBX9/05GovmIvG2sgaI6HK5hgLG3BFyPufTLtHOFUyLqgiNA3oLIwaYjOVzEg+QjAXwNSqVDr5UJetLjabHoB1RFCkaOhRlG4gFm+4JAeZUc+QQY2jILhSRB/cKjimhGD6ZRqwCguMChXwKQt1wJyOT49EtQtYo7v7SmT8kpcChyeOAIkLeA1XMAX3k8uh5OeeNpsQhDeAC+FosgTaABPv0SJDEeoH7pN4GBwv6ZgqIfwi88+QQw/EJmR0Wc1icAv+rutHOFEE79EiRPzAxnc2ZL0IIFgL+574LZJ29BFgt5jiai8kTe1C5VamZBeZslwtMPQXgAvvwSpEIT4POwE4aIchfODlAJCBi2cOQTIBjhAfgk1UEID8CnuhskQiXlqP08+cUsIBMFCylH0L5VhNBTBU+Dshd0Y+U51DgDCbKz5JcwFZoAX34xx1guQO6LphiFKJwgiJIACMITNYIQHoBTv4RRRDmyRe0Bmjr9fMnPG4INR7Z4YLbJm9o1HBlgghU4y7EISnhyRUCSObMlRA4PwNcEC0xEOTzphanQBPjyi5liME1zboBfvwTdWHv7fF3oPlPK24wQHmB2/BI0emAKNrz5xQWJkzdCyBVCyC2Pny8TQla8PqunjjWiDVpiDwyb2yaA7WYP7++MnfytQTmlkkBIovki9/e6uL/XHX0xyJVlQOI5Fu/vtPGwOdamJCzhSciWu9st7HXGctTCVGgCidny/QcH6PTHCEqYjRVIZEPSNB3fubeP/qR1LOjGCiSyjikDDW9+tA9NGws/9wP0dwQSJTxdZYC37h9AHw+lp5DwHHQV3Nkaa0Sr9qjanDIiutvq472HY/tk0OgBwB8R9UDi5E3X9TWnnxFCrhjvWTe+X3b7rO89OMDtd23tPYJcK2MiobBpX9XwC1/8M/z0r34V72zbLi8OSniAxAZlo93H5V/7Kn7m176K3ZbtqrF+wAkmZenCn8Bi8e7DFv72r/4xfv6Lf4aeaiMKYQlPAn65/e4ufuqf/TH+3m98fXRD6jeNajhpug9MMF/kD/7qHi7/2p/gH33pG6M/CNL6AEiUiP7Wf3gHP/e/fw3/9F+9OfqDoMpbglXz/+wP38Lf+edfw7/86p3RH/QCtAgCqC2DHq1Ujxn/+Mtv4Gf/tz/Bl+sfjv4gSEsKINFG0J/77Q389K9+FV/7/tbwxRTuLQNNx5Vf/3P81K/+Mb5zz9aAPqjIARh+4az4wgWJkzcPXAKwafx7E8D58TcQQlYIIRuEkA0AeHXjg+EPgybGA0aZffwn1j/53hY+bHTQH2j4/W/YFougFZpAYqejf/1X93DQVbHfVfGVb98f/iCFi8WXb38AZaDjw0YHf/627eLyoMqbWRSTgF9uvv4eAOCND/bwnXu2ViVBrl8DEiWiv/v6+wCAW28+wNaBTRUNcusFkCgR/dJfUlt+r/7B4QNCilRETdNx0/DLl15/7/ABIYyKGLNfDroK/r9vfQRgOG8A0HuvB/3gKmICVxa+s93CX2xSccP0D4Dgh2kgsV6Cr7+zgztbLQw0HV++bd/zQ+wtPIazXcA7eauOfX9s/A26rq/qun5R1/WL84Usvn7XpryFIjzJxL/r7+0imyH4gVPz+PpdG0kIQ0QT6rR++91dHJ+TcaqSx9c3JxCeoJtrAn65/d4unj45B1nK4C/G/ZItUlVwGpgtAxLyyzOP0oubR8ZYkF5PQGKER9N0fOPdXXz6NLVl4x373A/Q6wlIjIjudRS89eAAnz5dQas/wLc/sqsJIQoWgNj9srndQqOt4NOnK3h/p4N79rSJlBHRNz7Yg6YDnz5dwTfeawxJdZg1rFhFElcW1t+jqtKnT1dG98mwhCeBNcy05VPjtoTZ80XYlCkaAGp+31ySs7i73UKzp9IXgtyjZyKhnLdvvt/Ap05XcOHJRbz50f7w1Bp2sUiA8Hzz/QZ+9MwiPvPowuhmFLRCE0hkgum6jm+9v4cfX6rh6VNzePOjMZk+iE+ARMIn+10Fd7Za+LnPPILjc/IYSQi4sWZlWtUZs182t5s46Kn45R8/CylDxsZYUMKTTOXsX31A15r/4ieeAIAxvwS4Fg9IjPB88336/ztky0Choc+g6zEQu19MW/7eTzwBVdPxvfvG2hVUcQcS9ctcPou/e/4xbB308PG+QaqthtYB95YEriz85nsNPHW8jL/19HG8df8AysBQMcP6RShvzPA6hurbEgDHwgYAKOaoOW/dNxaLMOStUE0kx+LudgtPn5rDM49WsN9V8WHD+P+n7HQ00HS897CNTxq23Nlq2k6tB/Qy52nVKiARIrp10EOzp+KTp+bxzKOV0RyLoEoCkIhfzDzKp0/N49OPLhy2JchcARLxy+YWteWHH1vAJ07M4c3x3JcgfpHn6fVNMfvl7jad3z/5AyexUMyNHhDCFizEnMdzd7sJKUPwd374NAAMbWFBeGK2ZXOrhUcqBXx2iQZ93rxnHOiD9hEEEvRLC+dOzuEzj9HCL2u+WA2tA+6TQOxz/+52C588NYdPP1pBf6ANizDC+qW7x1ePRxckTt6MIoSLZnGC8dotwCpmWDLeUzULF5wgZ2mi9btmBUqY5EWzsjFG9a2rDHB/v4uztRKeOkaf2aqmCdpeAxgOyhhbBtzb60DVdJytlfDk8TI0Hfhg1yCiQZUEIJHK2fd3qQ/OGLZsN/tDdTdoqBFIpNP6+zvUB3SMlfDew7ZN3Q2Y8wYk5JehLU8eL+Hdh2MFPkH8kskkkjLx/m4H+WwGJ+fzePJ4Ge/tGLYMVEDtpGpjfX+ng8eqRVQKOTxSKeBd0xYWhCdmUv3+bhtnayWcWSxCypAJe0t6/PLeThtnFotYOl62vgcQ0i/x96vUdd2wpYSnDFsO+yXgAYG3KwtdkDh503V9Xdf1RXvVqa7rl23/ftF4z4tenyVLGRBiG5R942uoqrP4BuWHjQ50nW5GZ2olAHZbDmi/tqw8/QdbMn18RNR87rO1Es6O2xK0EhBIJGw6yRarlUtQhQdIRKY3bTljjLGDnopG22gZkjK/vL/Txnw+i2oph7O1Et7f7QxbU4T2S7xE9L2HbZyplZDJEJytlWzzPsTGmitQhTuB+WLOk7O10uhcAUIqb/GPsTO1ErJSBo9Vi7Y1LGSSPxCrX9SBhg93OzhbK+HEfB75bMYmDKTLL1sHPfRUDWePTViPwxbDAampOE2cvLEEIcDpSmE4wcwu6dN2WQcSUd7et5GER6tFZDNkjPCEUHiAWBeL920k4eyxCYQnaHiuUKXNl5Wu93sZ4b2HHRACPFYt4ona+Kk1hFqVEBE9VpYxl8/iCUPdfXfEL+kiomdqJRBCcPZYGX1Vw8cHPaowK+3U+cXciJ6olfBRo0vzeMJED4BE/GISHgA4e6x0WOEJRBLM9Tg+W3rqMBICAE8cm0REg+wt8ROee3tdKxJCyNgBgQXhidEv9gPoQjGH+UKWsciRjry3mSJvAHXoyAST5GC5VYX45WAzrPj4YglShuDxxeLoCTxMYjwQr4q420GGAKcXCjgxl0chZzvphSI88fvlw0YbJ+fzKOSkycpbGL/E3DLgw0YHjy8WAcBBEQ2R8xbzovfhroMtYdQqIBHCM+6XgabjXqMbbmMFYq807/QHeNjqj9jyYL+HrjII15IiI8Uezr7X6ELXYdlyhhnhSWING+4tAMbU3TAqYgJ7i2HLmcXiZCIadm9JSdHCzJG30wsF3LeqaNq06WgQJKC8mX2qjs3RU8MjCwU8MG0Js7EmcKLYavZQK+eRlTIghOD0QtHmlzCEJxmZ/sR8HgBQKWZRzEnDWyPCFizo2nDxjAF2Wx5ZKAAAHux1KYFUwuTvxV85u9Uc2nLasOX+fvoIT08dYK+j4MTcqF/u73fDtT4AYi8k2TZuIBkfYx/v98L7JeYCn60xW05XCthtKwYRDeGXBK4sNPcWu19G9pZMDsjmp//gJPYW05Y5OrZOLxSG6zGLvUUob8ngZKWAj/d7NAk7bOgEiH3hWyzlkJOoW07OF2gYCAje6wlIiPD0cXxuKF2fmM8PbQlLeIBYJ9h2s4/jxsZKCMHJis2WMCHghMaYaUulkEU+m8HHB91weS8A9YvSos1LY4A60LDbHvrlpLEpfZxCwvOwSf9mxw0bTlYMWw664fo7AskRnnG/2MdYqAKfGOeKMcetMWb4ZeugF84v5pWFsa5ho+Tt5Dwloj11EDJdwryyMN4xJksZVIo0onZivjBs0M1C5BDKWzI4OZ9HT9Ww31GNqsb0KG/2jRUATlXyeLDfpUQ0VIVm/Pki2zZVBABOVQqjfYXChLSAxAgPAJyaN06tmhYyMT5ev2iajp3WKBE9VTEOCGF6PQGxz5edVh+6PiQ8C8Uc5GzGsCUsETWuxoupZYC5sZp+OTVvKKL7jPzSiXENGyM8pyoTbAm8ucZ7ZaHll3l6CD1p2GIR0Uw2mFoFxB4C3m72IGUIqsUcALq3ACYRDUF4pCydZ3H6xRAGCCEAqC0PW316J3AYkSOBfTIMZo+8jUywVvCwqZSLvfGoXeEB6Omoq2g46KnBWx8AQJ52oEc3vo7e44TnpKG8USIa5nRk2BJTd3Jd1/FwzC8nKnm66JkFMSnxy267j4GmjyiiJ+fpASFU6wMgdr8MFR5qCyGEjjF72DSMXzQ1th6PQ/JGbamWcpAlVopoBejFeQA1VUSD8MxPUBHD+CXGNWyr2QchQK00ZotJROU5qqIFQaES6w0L2wd9HCvLyGTo8w7V3V445Q2I3S/bzZ51aAPoPmm+HkrkkOcAkFhtCYOZI2+nDKc+2O+FC5sCiZz0RgZlxR4KagWrmgVoRRSRYiU8lLwNScKpSh7t/gDNrmKQt4Ck2iI88WxI+x0V/YE2aoupvJlKQuC8ymQIz/FxRXRErUqHX7bGFB6A2jKi8KTFL2O2EEJomsE+AxUxX6GkKSYV0crbLVNbFksychIZ+oVkaPuSICgsxEp4tg56qJVkZI00lqGK2A1HEoAEiOj4YdrMRTRtCbi3AAkcEA5HqAAMIwhBbclkjPkiyFsiOKS8Bd2MgERyLEZVEVuyrxLCFkLoBItpsWj2VHQVbeJisdXYp0n6YQtJYiM8NNR7YoxUt/oDtFvGMwRu42DK9PHYsn1gqCJ2FXE+j6393rAnYkoIj6XwHFJ3u0NFNKhf8jH7xbBlfIzRNcy0JYRfdFvLkYix3exZIWwAyGQITszZ/JIrB1erklB4bOOrVpKRzRAbSQixt8StvDkJA2YEIei8BxLyy+F9kpLqdngiGpMtuq5DHQTvNDB75G1+jIWHGZSFamxKQqc/QKs/GN2MRk4UDCZYwhsrADzcNchw0AmWK9BKrZgm2NYEwmPastMwbAnql3y8RHQ8twqgY+ygp6LXMROwU0JEJ6iIZmg+vPIW8wHhoIe5fBaFnGS9dtJU3pSwpDp+v9g3VgA4UTESyvstWmkZFIUFmtMU000xlPAMbclkCI7P5W2EJ6QtcRKeMWHgWDmPDDFDwCH3lhgVUU07nMYySkQZjLGYbPn4oIdP/Hd/EPj3Z468lWQJ+WwGu+2+ETYNw8LjC5uO570AwLEy/Xej1aH3rKbkRPGwOdryBABqxr+bB8YzpISIPmwdtmXR8EuzGVZ5izfnbdIYM/N5Wk2DvAUmovEqbw+bPeSzGZTlIeFZLMs46KoYhLlZBbD5JZ6D28NWf2R8AUCtLGO3rdA1TMrTPmdBELtf+jhm21gBoFbKGetxJ7xaBcR2fdHDZt8K/5pYLMtomLYETWMBYg/PbbdGCY+UIaiWZNs+GdIvMa1h+10FqqaPjLHFkrlPmn5Jh4q42w5XmT9z5I0QgsWSjN1WP3wsv1iNrVJrr0OvKFooDhfxSiGHDAEOmBCe+E4Upi3Vko3wlBgRHiDWxcKypXiY8LSbIf0i5YBsMbZ8kf2OAkLouDJhElHLljDhOSBWv1RLOaviDKCEBwA6rXQR0b2OYlUBmlg0Nla9z2BjBeL1y7gtZRm7LWUYNg2KJPxSGrWlVs5hx9pbQqpVShsYKCGf0htdZYC+qmHh0BjLDclbSg7Tw/V4aIuczWAun8VOq8tAsIkvf2+vHc73M0HeCCHPEkJW9/boH32xLGPHWixCTrDYEuNN8jYclBnjdNSySEIYOTh+wmO3xVwE2yxsSWCxsNtSswiPSRLS45f5fNaqOAOGtnTb6SM8hzcjakuvfQCAhGjjED/hqRTHSYKMgaZD6TTDH9qARP1SK8lDwhN2rgCx+EXTdOx3J48xSxENu4YBsaiIk9YwgI4x6pew+2SyewsALJZztuhBSL/EbEtQzAR503X9NV3XVxYW6EJVK+ew32oDg344Fp6fp4teDJVajoOylEO7FfJ+Q8AgPHGriENb8lkJc/ksOqYtKVosZCmDQm44VUy1qtdh5ZcYN9bSZMLTbYf0S0Yy+j0lSBIMv/Q7TaPCOkRiPBCbX/ZdiKjSDUneYg4BTyTVZRkdZQAtrIoYo18Oeip03YXwhFURY/SL895iU0TD+mXQA9RemMf0BcuWcUW0JKNl7S1hlTdB3hLDYklGJ2wlIGAsFnoslVqOg7Isoxs2DAQkcjqqFEbvlF0s58InxgOxEp59QxWxh+fKsgRZyqAXlvAAsfvFifAoHQa2xHhA2O+ojoRHDUt4Yu73NIm8mX5ReyHDczESnr6qoaMMHG0Z9EK0OwJiVd7MSMi4IrpYkrHfVcKHs2P0y6SoDkD9st9qA5oS0i/xFcU4K2+yobgjvF+68Qo2QTGT5K1mdySTU2sME6zrQHhKMvodBraYhCeGQbnfUTGXz1r9kUzUSjJVRQAGlVpxkoRRnxBCsFjOUVUEYJAgG5Mt3cOEZ6GYAyEGSZBk2jE9KArx2eIUagQMW8KML7PfUwy26LruqFYBgNYLWzEfn8JjrmFO6q4WNmyaj+8WD7dQo66DTagRSFZ5K8vDwzSLEHCSfinZ9/yQoXl9MKzyjhD7XTVwcACYUfJWLckY9FiEtIxu8zHlJUgZgrn8JPJmXisTcrGIqd/TXkc5REIB6helG7KNAxB7XsI4SQCoX9QeI7/EKNPbixUAWnW2UMwZqkgIO4BY/bI/wRYzr1IL2+sJiM0v7f4AqqZPUHjo93pYkpAr0QbdMaoi434xbUGfVbVpjMrbxDGmg6gMkvyBeP0yYYxlB0aok4lfYjggdFQAk/xiFwYYFMXEpO7O54MflmeSvNVKORR0Y1CmJNnXJDxkjIovlmW6sQLhiy+A2BaLSYSnVpahsSDVMfZ7mqSKAJS86b0WaGJ8wI7xQKz9npxsqZVk6GErs4HYeiQNNB0HvcMqYiEnoSRL4VURIDa/uKkiAMLnIxESm1/c1CoABuFhsbEmq7wVYLR4SAkRdct5KxHjvumUEJ5JOcgAzXMnqnGdXdgqYCA2v4yr1NNgJsnbYllGCeaJIh05FnsTcngAOihlzRiULE56MZ1aHQmP1cmfQdVZTIroZL/IwybQYbTvuAsWJvmlLIOErZ4DYsvfO+hO3owAOsaY2BKTX/YdbJnPZ5HNEGTCKjxAbH5xzBMzyJukhvRLrkB73sXplwkhYGtvCdsAHojJL6ZaNary1Oz7ZNg0FiA+kWMsBxmgY6zIxC/xihyT1jC/mEnyVivLKBEG5M0KmybnyMWSjAJheNJLcFDWyjlkzNNRSvo9OROeHKCGDAMBsfV7Mns9OYWAiRqyuSUQG+FxUhIAOvelQYdN2DQOhac92RaaVylDGnRT75dqMYcsVEi6ysgvyaqITEhCzHvLpBzkRdYqYkwHhPEcZIBGD9j4Jb4QsCBvE0BPR6YcnA61yi23ang6CkN44j8djaNaoqRaZ5EYD0S+WJi9nsbzKwDqF0ntQGexsQKRq4hOeS8AzX2RVFaEJ7kcHoDmJGUH6SOik8dYDjkmRDSeEPBQeRud21kpg5MF4w7HFPlFypCRGzwAOu+LhEGemJSjf4uYQsCTcpAXSzaRI+WH6ardFiZENC6/CPI2gkohl7qw6YED4akUc4yk7XirziZNsEoxhyJ60LIMQlpA5ItFsz+51xNAxxgTW2Lyi1O7AID6Rda6bEKNMfR7clPehrakI9Toaks+C1nvpSYE7GbLiYKRn5qS0LxTDnIhl0FFMtSqFBHRiXtLIWsTOcJUmxoqYoL51JVilq3yFpuKKMjbCCrFrO10fZQH8gAAIABJREFUFIK85coASKK5VZViFgXSgw7CqKN3tINSGWho9w/3egLoYlFEHwOJFeGJ1hankBYwXCxC2xKTX1xJQiEHWe9ByzIIAQOR+8XM4XGzJXQ4O6bWOvtdZ1uOFXRkoKeGiO53VRRyGeSzh+9hPS4b5C2sihhXLqJDDjIhBMdMW1Ljl8l7y3whZwubhvBLRgLk+dhyEd0O0wDYtHBJUEX0i5kkb3P5LMoswqZmv6eIHenU6wkYqoiqVAiXGB8X4fFQRUqkCzU04YknBOwWnqsUciiSHpS0EFFXv9ATeGhbeCCixSyKOiPlTVPpRdcRYs+4b3Z+QljruGzkQTIhPPHk7zltRsfylKSmhfC4bazHZMOW1BDRybbI2QyqWWOMpdwvdG9hQN7kOYBkIrelqwzQc8hB9ouZJG9ZifGgjFh56yoaVE2fuICbYVM1E6IdBWDr9xTtIn5gKAkTbTFOR/1MwDsnTcQUajRtmZQvYvqlT0LaElP7A0+/EAa2WH5phPscD5jVppNsWcgTyESFIoWcL7H5RcGcPHrfrIlannGoUdPCfY4HDnoK5h1yeGo5RuQtH0+D7oOusy2LOXNvYeGXOGxRvW1hoVRHPO91XTdsOTzv5/NZlNCDkslT0SUoCBleixkh3PYWv5hJ8gYAC9k++qQQzpEAdWTEE6zZo44cb9AL0KuYSqSPfljyRkgsjUdbhi3lCbbQUGMffcJI4YnYL662GES0F9YvMcn0bmOM5iL20SOsCE/0Y4wQ0J5uY6gZIa1uWFtian/Q6qkTxxcALGapz9gUxUR/zV+zN3C2xSRvoauz41GrWr0ByvnD4wuw2ZKSptbNnoo5B1vYihzR2tJTNQw0feIYy2QIKlkFSth5DxgHhOT2Sb+YWfJWkZTwCzgQi7RtOVI+7EhCCCpSn40tMVSduZKEApW2u2EVnpj6PbX6zhNsoUjVqi7CkoR4+j25LRYLBXpq7SCs8hYP4Wn2BijLh5PJgaGS0NEZ2RK5X9xIArUlTUQ0epKwQEloxA26my6kupJlFM6OoXmyruuuB4RKVsEAGXo1XhgkvLcADPf8GPzSFOTNGRWJAUkADAk12rCplyPnpD66YTdWIF4iOsGWQk5CiTAgCUAsORbuapVJeEIuejH1ezL9Usod3lwXZBUZoqOth13A41PenAhPVaIbazvsGIup3xNVRSbP+4UsTSZvhSaiMfplwgEUABYMv4TPd41HqW71nf1SyaQnT6yn0pQcR/KWMQhPmHxqIHGRAwDmM302e34Mfml5EFE/mAnyRgh5lhCyurc3XGjnSB9tnQULT96RZdIPvxkBMZ+OJm+uZdJHO+xmBMRMRA/bMpen1aYtLaQtMfV7omqVNDG3ytxYQ5OEGFu4OG5GRhuHphY8ERhAzETUnSSEtiUuv7gQ0XmJJpO3UnVAcLclfAuXBdroO8IG3V57y1ymhy6L9TjGw7SjyJHph1fcgVgKfNyiOn4xE+RN1/XXdF1fWVhYsF4rkV74hQKIhyT0nUkCAJRJD+2wJAGIifDQcIbToGTml1gWC8OWCSe9LDTkiYpmWsaY62ZEx19TY6QixrCxOpMEuhEehJ0vMRIeZ8XdsGXAIKQFJEp45jKMbInBLz11AGWguxymFXT1HLphI7cxEFHP9TjTRyts9ACIdW9x8kuJ9FO3tziJHH4wE+RtEoqsHBlL2NR9UBbRw0HYjRWIVUV0WiyK6IVfwIHYCE/JQa2CQu9oZWJLHIuFSxjIbNS5F9aWmPo9uYXnyhmqiuyrKVHeXPxSNlof7IW1Ja5Qo0vBgtnGoZECv1iEZ0JBDEDHWBt56/7TwIghNO8VCSkZ0QM9bD/DQgUY9AGlG+5zXOAWCQGoLc3URXWOuPI2CXm9j+YgB01jMCjVLqD22TzYBHg5sqD3wodOgFjk4KZbXoKuI693cTBgYEtMRNRxchnkbZ+FLQkrb8SyJcSVZSZiOrU62VI2mo6GJjxmv6dYCI/DZmQSHiWkX2JordNXNfQHmjNJID0MdIK9PoPcKiBSv3geQHWat2s2iw6MOIioR3iuaOTttvohZcQY/OJVsFBAF02We0uEDboFeXNBHj10IeOgF3KCxdAQ1suRst7FnspI4ekdRNrvqdVTUcxJkCapVWoPGejhFR6A+iXBHB6TvIVWEoAYiaiDRG80om0o6TgguFU1yjolPLtqSMJj9nuKIY/HeWOlRHQ3Bcqb5wEUPbRRsG6UCIwYQsDeJKGHjs5SeYveFie/5NFDW89b1+cFRgx+8RpjeZ1GqNRByP0tXwH0gbXGRwFXkcMnZpa85TR6ogg9KGOoBhw60mFD0ro40GT0VRaDUou031PLJZncIjxhlQQglgaXroSnb9rCiPDEULDgRUR3WdiStCLabwEAdvss/BLtAUEZaOirGuYcFvC8TkNQu/2Q8yVXBDLZWAiPW/SgwzTUmCRJ6NKwaWjCE0cI2J2I5rUuOihYt5YERowhYCe/5LQu2nreaoAbGDH5xVHk8ImZJm89XQ6/WMTkyEIug6w0wR3aAFm9j44uW53lAyOGhrCUJDgRHmNjVbLhcyzylcj7PbWMfmITYRGe4AmnFmJqnuxNeBiQ6liIqLciusPKLxHa4kUSJLWNnp7DXi/koY2QyP1ihuec/CJrHXR0mWGoMbpu/l4kQdY6BhENG9WJPpztNcZyWoeNyBFDaN4rFzE36LA9IERoi1vqh1/MLHmTtC6bvIRYpG1vVaTNZLEwVcQIlTfXPDEanmtqeXSVsCqiYUuEKqIfkvCQFeGJ0CeAP79s9xkQnvx8pD5RBxp6quap7m73WPgl2mIlr/AclA66hIHCA0TuFy+SkB102Wys2TxtKBvpGuZeQJYddGnYlJVaFekaZtjicAjNDqhalYq9pe8mcmjIst7zI54vYSpNgVkmb2oXXeQYsHBzUEa3iLurInQz6rCQ6WNZLNxIAlV42FRqxbNYePllu89CRZynf5sIVUR3Ikr9ssWM8ES/sbr5RUMGD7shE+OBGAiPhy1KGz1SCD9XgMgPCF6tD4jSRi9TSBkRnWyLNOgwWsPm6NeI9xbAxRa1w2hvSfgwrdIDaJtJLmLCe75PzCZ5GygguoqOnrcGb2DEFDZ1Ds/RjZWJLbK5WERri+MEs4iobKkOgRHTwuel8LT1PNphK7VMv0S08FlqldMYM/yyw0p5i1KtssJzTsUXbfRJPnz1HED9EoPy5pxX2UI/U7BIXijk5xLNE4PShpIpWCQvFGLyi9M6RpQ2emCwHlsqYrRrWD7roFYBIGobHeStsHdgyLyIHOnYW1xFDp+YTfJmhIG6TBwZfbWpuypinCiQZ1A5y0fYtKPn0WSVLxL5Sc+ZJACGLZz7ZajwuFebbqVARfRFEqRi+PEFxKAieodNlUwx/LwHIlerPKvnlDaUTBHNHv8qotcYI0oHilRgN8aSUqsGCoimos1kDYvpMO2Rg9xhQapjUBHd+jv6hSBvXoih2rTdd+71ZA+bhh+UMUywvkvBghU2LXCvIg40HV3FJbeqP8xF5H3h80omh9KCmpEx0DPcq4ieFzr3KUkIPb6AyFVEP0R0IDGyJWK1ypOI9k1b+FcRm30VcjaDnINaBaUNVSqlQkX0U6jUIwyIaAwqop8c5LZeCL8ex6IiioKFyTDi333CQOHJykC2EH3Y1GNQslF4zOKLpE5HhvLGpP9etBPMm/AMSTUzFTEqWzxJQgcDid4DzO6wE60tbn7RsgU0+yr3KqJ3wUIbgyxDhSdRItrBIMtQRYzYFkef6DqgtKFnCwxVxCgJjwtJMNZjLVsMP++BGPziInIow7Bp6FYh+ejTi1yjOj4xm+TNGJTIsTqBRz3B3BIxaa+nLnIMThSmKhKNLZqmGyqi+2LR1WV20nZkoUaPzcjwSw85hjJ9NH7xU9WoMSdvEfvF6YCgdqFJBeg6wquIEYdPvAlPF3qWgUoNRB4CbvYGkKUM5KzDlqJ2AJa2RFxI4kgSVNoEWs+xUhHjIKJOtpj7JAO1CoilkMRtrgCAQljlIuajTy8K0aAXmFnyRlm4zvSkl5DyZpAENSOzURGlfHJqlbHw9VgQ0ZgUHje/aFIeAAk/xuSIw6bGJlNy6I8EtQddoncChlcRo/VL0yt/T+3RxRcMiGjUful7+aULGCpi6Gv+YshFLLkpCYZfmKiIMRQsuB0OAIBkC4z2lojDpm4V88Z6nGGl7srRt9bxEjkyzIhodH7xFDl8YkbJG3WkJJfYDMoIu8Zrmo6Wq1pls4XzE7hn6wN1mIsYWtqOWEX0an1gqiIAS8KTUJ6Y2qFd+MFQeYvIL37Cc6Yt4cMn0fslmyHIO6pVXZCcoSIq/KuIjoRH1wGlA5JjGZ6LugeXF0koosmkhUv0BQtekZBMvhi+2hSIRUX0EjkyMsMxFtVc8RI5fGJGyRsdlEQuMRqU0XXANxdlZ2nbJG+sBmV0JwrP1gfGSU/LMAibRq0i+gjPEUPhCT3Gks4TU3uWLbyrVZ4hYLUHkqOkml1oPjq/lPNZEOLQk07tghhElF2BT3R+catqBHRkZEoS0qEiupMESWbUwiWOggUXxR0ApByr6uxo1apWf+BiC/VLLs/IlghVRCsSInLeAELIs4SQ1b094zoLQ+HJsnJkhCe9trEolxxJAp1gMlNbohmU7b434UEmh1KBQRUwEKkt3mHTHi1kAQOFJ+KN1fSL42JhKDwA/ypiu68iQ+CqVmWyjPP3IlMRXTYjAFB7yOQYjbHI/TJwHV8AJTypUBFdSYJBeFgqPBGqiO3ewGVvoX7J5hlGdSLySUcxCY/7PinlWQk2Ee4tXvukT8wEedN1/TVd11cWFoyebIpJ3spsBqU8F9kCbg1Kx8XCtIWhihjVBPPK4VG6QK6IspzlfuEz/VJ08QvJFZHNEDYqYrYQwxhzDs1nZEPh4VxF7PQ1lGR3tSqTZxwCjsiWrjJwHl8AoHSQzTNS3iKuaO4oA/fcPQBZuQSAf0W003fxizK6HvOuIvryS54REY1QRfTcJw2/MFPeIlQRzX3Sde77wEyQt0OwHMnqRDEX6YkVAIo595OeXGCUvydH1yPJPFEXXBOw85gvZNMzwVz8QrJ5zBUYEdEIFz7vMdaFxDxPLKpFXHVf9NQusgYRDT3GYlBEHW0ZqIA+gCSzIqLRtj9o9weu4wsAsvl0KNXuhIeux7k8YxUxAlv6qgZV0z3JWy7Pf+Wsn/UYAGSWKmJSRNQnZpq8yaU5doQnYjnYWeHpAkRCqcjghgUgUrWq61k9R0ONc3lWyluEKqKnItod2sJ5aL6jDCBnM5AyTmpVDxm5gJxEwvtFykWrIrqRBABQe8jmqcLDe9uTjjJAKece0soZtjAj1RHNF6oieqR+FMoAWKqI0UUQvIhojpkt0fnFXMMKnsIAjVCFVxErtNNDBCqir30SQL6QghCwFxH1idkkb0aoUS6U0eoP2Ejbg7412FliGGp0qTbNFTEnZxn1SIpe4XHekGivp3KekS1Rqohe0rbSBXIsiWi0KqLrKU/tgGSLjP0S3RhztUXpIJeSsKlreM7YjOQ8o1BjDCpiyWkzMg/TzEh1dCqipunouBLRIUkA+FYRvfcW6pdC0RhjoVMmorOl7aetDqgtvLej8dxbfGI2yZsxKIvMBmV0J3BvOZiGGueYhRqjTyotyE7J5IbyVsjyryIqA2QIIDtdkWNX3nhXEX2oVcjmU6MiOioJ2gDQFGTlYjpURMVb4ZELrIlohGPMI9Ro2sKzithTNQAe6zGAfJGVX6JTEYdqlct6jCERDR06jVJF7HupiF1AyqNcyDESbKJTEbuKUN6coRgKT0EGwGBQRthTrO0pB/cAUxVhMSjleTooBww26TF4nvRUQ61KiYronhjfS4+K6JUYrxrqbtpVRFMZN0h1qlVEc2Mt0vAc9yqi2xizVBG6jvKsIlqV2R5+YWZLhCqiaUvRIzRfLJljLGTfuihVRMVHV4ZcAfNGNWo6VERRbXoYRqPOuQL944QelJYj2Z8oul4SqtqhSf7MBmV07Q86XicKpWspb7y3PXFVeAArBMxWRYyoqtFLeVO6Q+WN8+vk/KhVJqnmfYx1lYFzcY+teo6pihgBSVAGGpSB7umXAjO1Kjoi6r2GjYYaeVYRuz7zxIqWX8IqbxGqiH0PRVQZpuQAnKuIQnlzgdoBskWr8S3PE8w66bklldoGJc/hk3bfKzGekgRmKmK+Qn0dkYronidmhBpl/kONrgqPrgMDxipifj7aggWPzYgtEY3YLx7J5ExVxIhSJnwV98Cu8PC7hnm2cTD8Ui4xLlhIKk8sk8NckXWPx+hURPdiuDxDwSbCA4KpiIqctwkwlbd8DgCLsGmUJz3jROE2wXIFa1Cyk+nZ29J1U0UAi4gyUxEjDGd754l1LXWX9xCwq4poJwmsVMSI+z15Km+5Im1Hw7Eiquu6r1AjU6U6Ir90PfORhlWNspThWkX0VEUMv5TKdO3h+UYSX+01jHQJgGUhSTR7C+CR85YtWntLaBUxwj2/3R9AyhDkJAeRwydmlLwZzWAN5Y1d2DQaFk7cOsabocaUqIheVY2pURE9G6jOiIpoVGYjW0i/iqgMlbcyS+UtgsNBT9Wg6x7pEgCdLzLfBT6eCo9i2pJHOS9xXXjlt6qxXE6BiugVNlU6lkoNsLyRJCG/GPMeYKkiRhOaL+Uk53xqn5hR8tamp29DeQvPwk2FJ5oJVnRzpFltylxFjOLUqvlS3lKhIropb7puVZumQkVU3K7IMZW3fDpUxL53GwemVcARqVV+m3ObTa2ZhU0TsWVUReS5kMSqavTou5mX89yriL7GGMv1ONJCEj/KWyEVKmKn75LrOgVmk7yp3ZFB2ezyW7Dg2bfKqDYdDkpWsfwo8kW8u9/bK4K4VhEVFxXRuGh7ZIxxfAJv993CpsNQ4xznKqI60NAfuBwQxvLEeFYR/eaJ0QgC3yqidwPVoV94VxG9/UJDjQC4VxE9rys09slhhIrfNayrDJD3aDRu9t0E+FYRXW/wmAKzSd6UNpArsRuUcoSOdNtYAavadI414YnodORd1cgybGpWN0VzanU+fdtCWmmQ6d3C2cpokj/Ab0Wz33uA2Sb5R6Xw0GdznPtKBMUXEatVzqR66JfUq4hGqBEA/yqirzyxAvJZCbKUCb+3RKwiet0DzFSwiVhFDFtpCswseaMFC+agDB02lbJAthhZgqy38paOUKNrAjZgCwHzL9N3fVUC5m0Jsnz6xUqM9xnSAvhNwh42gfb2y1yBqogDTlVEs/WBa09EwCI8PLc9GZJqt9A8AaQc4yrgCAsWPK74A4C5fI7rNkGdPm007phPbazHAEMiGuEYc1yPAava1BRsWn1+75zteu2TPjGj5K07Km2HDTUCkV1O78nCjVBjWlRER1uMi7btIWB2KmLMBQtjIS2AoYrIWK3qqRo018R4W0iLuYrI1i9WGMhnCBjgV0UcNlD1F2rkue2JZYtjJ39jPSaEbf+9SNYwL790beSNVdi0Eune4tpofGSf5NkvHnliRrUpWxWxKJS3qEEIeZYQsrq3t0dfMAoWAHoabIdl4UBkl9N7qlVGqFGWMshmSHhbklIR1WHFWckgouYpNzAiTip1vdcUALIFy97QfolIrfK8imWkqpGRLRH5xbt6bhhqNFWgDqd+8VZ4hn4p5bPoKIzuaI5ARRw2g3W5n9lQeMos1+NI5r0PRdQgbyU5a92QEwr5aG5Xcb2jFRgJAVO/8B0Cdo9QDcdYKS9ZJDwUIkuZEDlvFnRdf03X9ZWFhQX6gsHCAXqiaIcNmwLRJcj6Ud6yeRBCUJIlNgtfhC0D/CYtAwwrZxmT6oGmo6e6JcaPtqQAEH7hi0it8i6xH/rF3LDCq1XRqIieFzqP3LBghE84TcL21YMLoGNMlqDrQFdl1TU+Ir/4UKtKeSn8+AKiW8MU1VejccDcW3hWq7xaN/VsRJTV3hKViqii5HTNFzAyxspyNnzYFIi0qbUrqfaJmSBvI9D1Q8obu8Ui5jYOxkXbQyLKdxI2ba/hkcOTK6CQy4AQBoQnIhWx66fiDKB3zsomSUipWmXzi0l4Qh92olIRPcOmh4ko7yqiVyUgCEGJ1ZU/EauI7t3vhxtruz+ArnOqIvopuooiqhNVDrKPK/4A1ntLNG2oXMOmCk0vAkwiyrGK2B+gmAtPvWaPvA0UQNcsR5bzjE4U8lx0nfx9XPcDsDwdsSeiuq6j7SZt20KNhBB6OuJUER0qPE5E1B4CZqS8RaQieio8IyFgxnlikfnFfwg4vPIWrYroOl+skJYZzubTL53+wL3RuI0klPKSpWyHQoQqot/wXFnmXEX0qtCMRHmLUEX00XcTAEp5VntLhCqiUN4mQGnTrzl6cXBJZnmiiK5J70TYlATAOB0xWSwqzCeYMtAx0PQpiSifiqh3ntjQL+Z7Qi8WUpaOWcanVu9KQHsImFXOWzSVWr4UHsDKEwP4taXrWTk7mlsFMLxsm7Vf/CTG23KrAH794q1W9UZIApuUHLOimUFhnQ3e1xXa8sRSEKFy3FusvptDUs1mb4lGRewqmnt7MJ+YPfJmy3sBTEfyW7DgeqWULaQFGISHxWIhsx+U/nN4bCFgJic99tK23ytykCtAyhAUc/zK9EO1yqUSEACyRRtJ4LRViFeXdaUDSDKQyVi+Y3bzRVR+8ZMnxlx5Y2yLVzK50boJGKqmPI8xd7XKpiLmJPQHGpRBWBUxujHm7hd7CJjl3hJ3hMpU3G2pUsyiOmxtMRuNi4KFSRhT3oqs8hIikLY1TXdn4cowDASY1U18yvT+q+fo6aiYY1URxF5F9LycWhk9IPBcSDIk1d7Km7mghK7QNFXEyJr0uvQTO0R4WCk87MdYTiLISW49uIapHwBDWxj7pevZaPyw8ha+0jw6v0yjvAEs/cLeFu/2GmbxBat9skI/l7GK6FrYZyvuAejcDz2+gEhCwJ57yxSYQfI2qlaxk1DnAaVFiwgYwawe8w4D2UKNTE4UUSg89G/sqVbZNiQmp6MIVMRh3yqfIWBWeZUR+KWjeNkyDDXmpAxkKcNGEY1SRXRVq8bCczwrPD4Jz7D4gk9b/OWJDXPeAJZVwOxt8dNoHGCYixjhGHPME7P6bg4POx2FRVNr9rZ45lNP3Fv4jIRYh2mhvE2AqVaZOW/GiSJ0j6QILqf3dOSYHFxmmZcQ0YnC87qfnE1F5DTZ1zvnbRhqBAy/MMmrjEBFtPpWuai7mSxVy2ASUT790lFoYnzBqVLL1iKoxKrTelQqop/rfnLD8QWwzHmLW60abeMAcKwietliDzWyqgKO0i8+inuACBRRhutYT9Wg6372FsZVwBGoiEJ5c8OhQcm6ISy7QemtJIwpbyx71qldQO2H/ywDvi5BBkZPR5xWzvrOeYukCjgaFdH5fsNhGAgA4ypg1oRH9UiMH6oiw6bWfJ7A224tgoBR5S3Pv8LjrVaNhrN5zXmbttqU/k4KVcSxYjhrjHHoF/97y2gVcPh2NOxt8dxbpsDskbdxFs78mhx25K3rmSc2XnyRZTMoI2hL4XmiOBQCzjJqcBmdtO16oTPAvgo4ApLg3bNuuBmZ7+O1CniafCSzqTW/RNQrT+ywWsVMRYygotlvCLjMeRWwq1pl9d2MqAqYoYo40HT0fTYaBxiOsQhURP97yzAXUddpVWcoRLDnm+PeNRfRJ2aPvDkob+Ebj7JfLHz1egKGoca8BE0Hux5JEdjiPwTMUHkb9NiqiF6ER+kCJEPvvwPLXMRoetZ5J8YXrW9LzKqA5yPpweUdarSpiHl+Q/Mdxav7/ZC8WU2tOe3m79m3yn7XNKsq4Ah71nkX94wXkvCnvPlawwD2VcBmX8RE9pbRPZ/dGGNni3WYFmHTCRhn4cwaj0YgB3vliU1Q3gAWE4y9Lf57o5mhIFZ36UWgIvq5hsnofg+wzEWMomDBj8IzVN7KMqMrfyJSEf0qbwD1H8+heb95YoQQlHKMbIkoCdvvGCuyOkxnJOYqoq7raPdVl7Y643sLo7zKCEKNVtHVlMobuxtJ2PnFfxuq0T2fx5tiPInoFJhB8jY2KFmV2UdYsODa+gAYya0C+LSl7WnL4f57yoBK+6EQYV5CIeuWJ2YLNTK7xSMCFdEzh2eU8JSY3QvIvqn1NPlIgHEVEysiGnfBwqExxkpFZO8X10vDdZ2OadaHaYB5783+QIOm+2toDdhJAn8qYtcoVHK+JWa07+awwIdRzlsEKTmefsmNKqI8qrueiugUSJy8EUKuEEKWCSErDj/fJYTcIoR83tcHjpEEZo1HEylYGAs1ss7fi9MWxWHh43SxKOQyyDheTt0ZCTWyqzaNhlS7V8+NhhpLMqP+exE0tW5PkScGsCwkiYbwePvFPsYYHhAi8IvfvF0pQ1DIZcL3EgSY+8VXE2jgUBVwaL9kJLqeMDwgmP1AvfeWsf57zJQ3lmuY2e7Iga6M9d0ssvKLtbewLL7wKCCbAomSN0LIFQDQdX3d+H55wtuu6rp+Wdf1F319qHmiyI1K2+EHpXnHYYwsfEx5K3KsvPkqvrCFGtk1UTVtaYX7HBuoWuWvEhCgNvdULXyPJDkCW5SB8+kbOFxtyrIKWO0yvTi869XJf4y8MWs8Ks8x9QngVxG1F5KwqgJmS6o1455S7/DcWEUzswMC27kCBFmPGR3cGK9hgP/qf+ZVwAxtGabk+FNE2VUBR7O3AC4q4hRIWnm7BGDT+PcmgPMT3lMlhCz5/kRlcv8adnkJLGP5Xm0cJue8hY/ll+lXpgqPCilDkJO87zcEwPBC92jCpn7zkQD7CTysLez9QhOwXab5oWpTVqHGKMaYj1DjmIrIhiSUI+i/52KLddG2TXlj1X9PLscbBho7TAMMWx4xVnf9twiifpGzLJtaM/aLZ97uqF+YVQFLOUDKs1XNptP1AAAgAElEQVQRp/QLsypgOQIVcYbCptWx749NeE8NwA4h5KVJH0AIWSGEbBBCNra2toaDUpIBMOyRlM3TZqZRlEB7VQQdSpBl1faE5YlC8+jBNR5qNE96rFREtic9x0awgFE9N7oZASwbj7JW3ryI6Fh4TmHZ1JrtqdXx9A3Qg9sYqWZWBay0md6u4ho2/f/Ze7clSZbrSmx5RF4qq6q7msBg3mRGHuoDZijMD8wQo6fzQgNN/ADy0PSukfgFohnnAyge6geGBvLlPFEg5geAAecLCD5IomlIAt19uqsyMy6uh7hkVlZE7O3uyz2iq8vNYI3Tl+qK3p7h29dtV0ecD9oGiFrESGjV+Dvs8WUaIBt8ImiQ5cv0hd6Vctl5Facu6tGLpLMF4KOI6kitS5378iQ5+3aPbVfhrdfczdtbNM3Z6LLWfm2tfQvgbUezDvz696213//e97436AQECE2CMfSbXpd+P0k5tIO2gfPbEQnhITtntfMNAaJwOQZapWp4niJv4ZRDhLqoUMTHiKi1p9Ft3itCXcSmetBtykQROQdSUdUoa6tG3IEujmZ5WsS+4Zky9wBPZAYcOpuLVu0d3f8AiC7gG662SnyWx3XZrjJkhsDqANFQxPE9NqJzD63LagNk6yh66lGQw2HN3bz9FCf07QsAPz7/xRZVG6JSx9fFC7zPSGINQWe+LMomgysfFcZfpt+T0KrVtt2UvNvRQTxY948F2H2i9/LQqn1Rjb8ogAGHJluLSHyWssJWaqrXERDRSKHWLoaFm9YFHB5qza3LqUkQIikeUcCskT8tKlIHurzbdWib/O3UyDIgjsGHjCJ2oa5XY6jIIAVMdAHHeBZlXYwxRC0i1xTT5ZqO77HDo9zNG9a0CKBtqrl1YZgVgJmbN2vtjwB80RoV3pwZF7om7i/a//7h2e+fXhcv8H5T0ga68zRvcpPwmAai6cQAuo5nXwoHa/FUWwUQkTdyZt10k3BBz23JyBvzxVfU03useBisCw/dZe6xevwwqopHg7aB5lmqVlAftMj0yelgdaAat0wU0TY0MGGJzzJENdKQNy6KKCJvgxQwaYrHbCjiJQXMQhG5z2LMBNXYySVaNOtqlcMYAvIG0AO6xTPfYYVbHgLXmYv0b85+7gftj28B/Lz9n9y4AU9oIIA48of+sqhlVOScBlqTUBGgTVpn3ygkYfzjwwggoFWrK8Dk9Gf5zo1Ezz0+jACm5m0+qrHPSFqYFrGoGjevTJ08DhwGFBEj0iJHuPQHq0g1XiBvLJE/0NSle66A5UM10sbJdZo3a/uDO2R1UgEt1Qh0iOjyNG/yHovoAiaHje+LCtvVBNV48T7OsibUmoe8JbqAOq65aVP+umgSgO5lsbxcoUOpoRpPz5JnBrs103XG+4AdSleqkYRWRdAiHkSq8ZICZqOIXMrBLRttmfl7HXomHqzrx6O+gOWhiHqq8THCc6xqFNVCUUQXqnGTc3LeNjeArU+IWOBypRqBEzUfvMiaNxXVCDxB3mh1oaJVmnfY7tFPXW9XvbMzaEVAd58FbRplXXThQINYLTF49CBtymIMRVye60z+gF1QwKz8PYDuOtuLVOPjunSIaHBd1tcATDrn7MWgbSBG/h4ZrRp7luJx6ChADFElGxb0VOOQZGJZRpKDhFYNUsAkGQsZ3RWfZZACZmUJttqqUH1muw6OVCPQOZqXp0WUgYGRc3KBmrdDKbBtDusZNm+PURGg1YtQqEayYUEj8r9AEXmjmPi6BJmeO33A1vlyM5JkRPSSaiSNySGjiGXnanSgGpeqeeuat9EX3xDV2FPAoc/CpbN9mgR68CitLkpE9OKC8FBUxFBrDmJ1QhFdKOCcN12lLk//XoFrX9ZOVCPAnOLBHSfnKskBmGP+YmjeXmjT4TWwKWm6BDaX70g1AsxRTHyNhQvVCHSN6PJuejqY/ilaRaPmWWiVB9VI07ytF4BWsRBRMlqlpxpPddktNBdRds4Ox54ApzgL70VHRCU6+2kjulsTp3gA1GdxphppLmC2Q1MRQ7W+PCeJ8iIq2/ZCm46vi6BOgDjyp7tRkKBtV6oRYNKmXM2bK9UIgOcCToki1vWjQdtAQ03kmVlcAr4P1UhD3rKsaeDoIn8HnRjLBUxHq7RU4xAFzNIiktAqNYo4oKtcWF1UVONZ7iZwcgHz4mhYKKIn1ci6gFZHoDyGfy20KKI0B/gJQ0Wk5tmSnBfDwsgaQ95Y0LatTy+kwOVKNQJEpxady/eggBfoAhapxuqp0NcY04xiojWibCTBjQYCSCgisan20yOxtIipUcQpCnhpaJWWajxrRFl7jI1WqajGp/Sctad/B+8VoS6u7+NGi0h6HwPUi9sk1ThKAS/vnBQjtRzWM2zeBjblhoi8AdTD1Zlq3CxzLqCMIg68+BboAt6LLq32MLrUVVIjA7j03CiSMNAkdBlJtMsOWVs1/ixP60JzAeerhmIioiKAG9VIQ94ioYguVCPNaR4DrXKQSwDnjejy6uJKNXbIGw9F5CGifhQwSfNW7oGK8D4EN+ftGTZvw00CrQsHaHTjvqinZ5yNUY0stIq8KUefxdpBCvhmgY4gmdJ6iiQADTKyNLRKzuB66gTsMpJ4zzJfXXrkbWmIaBcV4iiMB5aHVh265m2KasxWTQPcruW6gDVU41PkDSDsMTZa5UE13mxXKGuLY3AczRwo4iVDRUTeAOqF+oU2HVsjyFtRWRxpSes8a7rrTY/mNiVGOZTSrMaq1T4M0Nk8LWKqANWnByvQDUFfFlolU41PKWCAednho4g+2ipe8Cj7WSTkbUCLGLrH8jWQb4maNw+qkYZWtS5gYl1GEURguElgDXSPQDVOAgOD8iJSfBO7LmU1ftEBRptqrpGEWJcX2nRkDQoxmxdf8KaMcaPwcJtybxThz3JyNTpSjVti/l5x3+SWBa6ennOggQCykYSuR3KrC/dZEpkvBuqSZwZX64wUPMpzNKunEqwfzwMFCGgVQEdEnalG+vuYqa1ypBrp+Xs8RNSVarzpLzsLrIukDR+ggA9ljXJBKKK1zai+l6iQsTUijAeYtyOmxsKNatxtcuyLmpiRFP4B86YaWVrELQ8R9aEaAWbDw0SrfOvCnAXMu30DPnVhBo9yPvcy1bhvBm1nJ6pxx8p5A8goop9RCSBo3lZbIFtTqcbJZxlyNdLy9/go4rTI/ynI0e8xmhaRSTVKSQYjdQmNoyHW5TT14gV565cx5ktjzNfv3r5t3KADmjeAKPYlNAki1ViXg8/CjwwgNm+OVCPNBUy8HYVQjVQXcB14Y4Qf1Qgs06kluxpH6kIz+DA1bxLVuH+Sfr9ZZVjnZoEyA00m4jA9t0QU0WXWNHDeiC4MrfKQ5PB0lRG0iI577BScvpy6iJdpx/Usmjdr7TfW2q/u7l43PzEQ2Acsy2Z/UFONw3oR2vgi6o3CjWq82eS4LyrUwSgiLwH/4Ek13rCahO0tANvQwIHr1Ig6UsAsFzARRVTPAx1wAS9P86ZwAl7UBGBedrgaUZlqvJRLMLWIvAR8mWocMl2RLtOrK8Dk6ajGYj9ANbLy9zq0KhypFqnGPnfzqfQDWJYWUdS6Oq5n0bz1y7ZoxYgjiFfIBPRcMS6MBxg2e6LmzZdq3LYZSeWCbkfirMYJqnFpWkQReRuuC9cF/IESar0vaiFAta1Lvnn007xxcjzN20F0zz1tEgBm5BEPrTqoqMbHn5XtKkNmmC5g1gVBohoHRP4stKofjcesi58WcUnIm0g1DuRuAmdN9YImkvSX6ZeokIHVN29PbcMAEUIl3Ch6kb9DuCVApByIaJVP6ChARESJKKI31bhlZSQx6yLR2WNUI8mp1YVadxMDAtahdc+5UI0AcZwcUfMmU1pPmwSA6AImo4iuVKMxhht5REWr/BqepTnNdejucCMavMfW1wAMlwlxfB/zHM3d2UI486VncVzPrHlrD85Y4sUe2uahVTLV+DR8EFjWvMZD3yS4UcC7BbqAfVyNQFOXipqRxEMRR/dY11QNuk2ZSeucurgerEAjwqZqqygookA1Fg9PagIwTTFE56yI8AyjiLtNTnIBc3WVrlTjjjU/F6ChiNbaacNCb4YbphqDn4WIIu4l6UcxIi/6FM8Wx/XMmrdh5O3UJAQeSMxNqaYaRxxBC0r01lONY011KAXMRxHHA1SHqcbuJR6ekcRHEcUJC/nTPcbNSOLcWl0DVIGmLsED0IGmLnV5+jcLWHLo6DDydrVmNm8856xMNUZsqomaNx+Rf5YZbFcZZ4+RUESZahzO3aQ2ottbElrlZ4ajPcv6xbCQZvXI2+MbBf92lABCHUF4aE0CcV6jnmqM9LKI4ghyQ952NDqbqLHQUI0Xg7aBpi6HkhFHw8wSrIQA1RGqkd6Ici5u4li8QcPCEtEqdycg0OyxJaFVQIiRZFnubF+qsXuHcbI3Oc+iPyfH5EWBz5JlzVmZIg/VcT2v5g3DyBvVmr7lIG8i1dhTWmO5QoHP0m/KFA1P97K4aKppid4pUcTIdaGiVe5BncBZ0npwRhITRfSjGnn0HLEuHmJygNgkbG8b9KU8Bn8pHdU4vMceQhF3gIZW6anGERfwglBEX6pxk2fIM0NEd1OcLR0TMnK2sFB3Ioo4OS3CYT2v5m3EbdqgD4QmAeDdKHo9khvyRtPvAbRbq0w1RjZfREARnalGFiJKdpu6zgQEiLdWKlrlRzV2DU+4kYTooBOpxjEKeEVuRDmNgg/yxhtfREKrJKpxJHcTYOv35svdNKaZa7wkXaUsL5KQt+XssRfadGr1tOnjQi5zU7rPNwTI0DbJ3eQv8ic1CfmquXkRUBEV1XgxaBs4N5IsS4voQwPxjCRcFNGPalyhtqfD2XuRUUTZoTnSiLK0VQCtUZBnaEZseLavmtpXYZ+7g3hpG34fA2wjCfEy7fg+Bph1IaFVpbYuj5+la1yXVBdxjzmuZ9a8DSNvQHMg0WD6pELMSG5TgI4iulKNtCYBoN6OfKjGHQsRZTs0RapxmJ4DljWv0Zdq7BDRPa0unMN1EnmbohpZnxUguC491ejhNm1oU+azhNVFbboaouZZphg2wuNougLIdUmZh7p+aiTZrfPwzz0QwTn7grw9XR3yNnIgLatJ8BP555nBhuZu4iTgq6nGS+StoxppugTSwRpANe5D91i+bihZlkPTg2qk6UWYcwE9qUa+FnE+qnG3IRlJSHU5TYkZczWWDd04qt9bDooo03PTyBsNRSzugTrsa+mpxmGQY0lolV5PHVkjygRsXgwLQ2sceeO9LNg3Cr9NuSSNhYpqvBi0DRAdmgD1duTrOAMWhoj6Uo10/R7JsOBBNfJcwNy8J7mpHt9jwU01qS4iDTSSfg8w9XucusgylvGGp9HvLWe6iuhqHMndBNhGEp5zdlxPPU0BL+t9/BLSO75GNG9Ay+UvMIvHFQ4GwNPvkdAq3SiW3ZP0+25MDk2ETdG8CXliI1QjjTYFEtdl+DACCA3Pagtka9rnRRzDNEg1kqh5EloVQjXuWLpKFloVQDXSjCSkuoRQjXxHc2QUcSR3EyCCHNv2nKzDtKbiHpuqy5pYF9IFNM8M1vkL8vZ0TWnemA3P8WP4puxtw+7I29XiKGAJSRimgYwx5LwnFvLmIcDu0arlxB/sfV2Nm+bPLCm7yht567MEWbOAw+rSTeAYfZa6bmI8kiCiYXXR54kNX6YpRhIWiihdpieRN7aRJLAuWuRtJAiaiogW90Ff5hCEiC7LpCjOznVcz6x5a29xeUxH0A0Ae+r4Pde+lKjGAwDzZNA2wAyFZGne/EYXAUQjCdE5K1ONw9EHwMLcTSLyNkY1Eo0krOwqEa2KbCTpR+OFoiJKqnEK3aWhiGFItZgnNmK6ApjROmy0yp1qpAIDQHhdpDyxkdGLwCesRRz5vNCcs8cPwaPxxHPScT2z5q1uGrfs6WPtNitecjQQLvbVUicDzd31mpmRxNiUEtX4dCZgt5Z2O9oXtRB9MNwk9EaSJaGIUozDGNW4sHmN1tr+sjO6BCNJcF1Io/EOIqU1Tc8By9Hv6R3zE1mCC3Fnh1CNu02O44Imkoh7bGT0IrC8iST7UqAau7oMAjar8NGLQFMXW58+m55LvIA6rmfRvBljvjTGfH04jCM8vJw3zhxNnWj56YYEiPq97S1nU4pU40RdqM1bqqkEw3Wh6kVYUwkCRP5L0YgeqxrWThxG1sZ3mwKUuviO+wGItOn6GoChoYiuY5gAYl4lC60KoBr5odasunjkvK1JIAcNRRSoxpHcTSDGjOZwjejkiD/H9SyaN2vtN9bar7ab9XTDsyh3kz/VuLjbkSp0dIw2Jev3AlFEFdU4gFYBzAsCD0WUm+qnz9IZSZaieZOpxnbM0wTVyMuuYon83anG3nwR+iwkFFEdzj3oauyoeZbmjfMs8pSYIWqeVJdUKKLoNq0WM5FEdwEdfx8HRzcBtObtIOVuOq5n0bz1a2R8CRAjFDL8QPKlGpc2r1GnR4pcl+1tkynVHRieSxT5Fw+TFwReKGRYTTqq0QdFNMbgerMKP1gBiuYthGo8NQnLMJKEUI07FsIDULKrZKpxOgwWIDzLmhV7EpDzxkJEaSiikmocQUQ5RhIWQ6WRF00wIayzBaCg7qyMN+DZNW92UltV1hbH4DE5pE0pQagpGh7i7chHjwQ0MP3SUESfnDeAnPcU+BwhVCPQUfOsZ5mPatzR9XusPDF3qpGm3wM4zyJSjRN1YWnesqxp4KLnvMl1WY4WUUE1DuRuAsQ9Rpx8MX1OTrE6RG04EP9scVzPrHmrJ1AR1rxG0qaUINQUTQLpRqHKExujGjc5DxUBSCiiX1NN01hsbxsqsDx6fwmRauwGbScxksxHNeaZwZZlJCGgiD0950U1LmteYwjVSG1EiSii6NCM6QImOjRlx/zT3E2AaCRhnS1FNV4ToD1bRt7Ha5aRhAjYvESFjCxrxw/W7gYeiiYQb0fTN4rhoE6gubXvixp18KYkolXSrMZR5I0Z4YKgZ9FTjeN7jCbyB4JeFiFUI0Cuy4yuRoCdtB6ZNlW4TXlGEo6rcbwRnaIalzWjeV9WyAywzkeim1TUfCiKmDdNFYNq9GVCWDIDJoo4Gc49zVABy8l4fHGbTi1B8wYQb0eEG7iPExBgjslhoVX+VCM1iwcIqotINQJp3KaE5k1PNcauy6vm36zyf4GGUI0A20gSevv2pxo3eYY8MwvSvC3AbQqQUMTmYPXN3QSYWsRwhMdbg8ySGRBRxGmGaqoRJVPAsc98x/UMm7fYhSQ5TwKpRmBhGouQqBCKu4nX8Iy7GttB2yN1WZKjWU81TtGmzHmNIXXxdzUCbP1eIifgANW4tIkkMiKagGoEaM5ZVcMz0Nx1f47naA5HREX3/8RnBSDUJV832WsEqlGO1Ip8TvY698jnpON6Xs0bxmlTWiFXm3ZeY/gHLIRqBJYxr9Fai0PITW+To6ptPzbIezGoRnGO3jQ9R2t4CHXpx8qIVOMYbco2koTURZoDPE0BX9OEy7fNuJ/a/2uFUI0AO1on/GD1pRrpRpIUeWICE7IYdFekGsclOTSQA2jrMq/bFGCCHGF7TNTvOa7n1bypaNOF3MA9h4YDZ6OYaPo9/w9YUVnUAVQj30jiX5eDhLwJVCOvSSCgVYRGdCmOZjXylsJIAoTtMXGGpgYRJYWNE2abylQjBtPveyMJK8oheB5o2AUUWE7zdig1ZrjIkhwgUV2m3aYA4VlWWw5gI535juuZNW9ThoWmkJQcrm34TFDdhIXpl0Vww9NvyvAmYdzV2A7aFijg4A8YAa3SU1rjIv9DyTSShD+L7GqccgETkTdCXWRX4/jnhZO/R6SARapxhJqnmWJa5K32R7xV2qqRcYUAc49x4mhCqUbaHoudJzYSzg2wjSQJUMQJtyk9WiegLh279EKbjq0JzRv3dhT2srDWKjQWCaFtCirij/AATGg7pshfbhIAhpGEgVYJtGkxPt8QiGAkCbogtIhokH6PORovrC46qnECEWXWpbj3/hI6qnG4JgATqSagiJK2aoJqpBtJkuj3JG34UowkAtU44TY9UfMkKUsQ4i6ckx7rmTVvCTRvQHDDo6MaZWibdjtiaKsC0CqAgSJeNcGTFKrRT4/EdzT7ayxCqUaekSS8qQ5Jvwe6eY1E5C2wLiqqMUUQNBCMIvo2CUCEIOiAvarL3Rx+FmPMwhzNS6GAw1HEg6h5k7WIPKQ65HPfXaZfkLeRNR46erUgCFWkGrv0+wnqBCAEKQLtTS+BE1BAEYNfFsYE38D1MwGH63LFakQJ2ioGBcwxkjDQqkCqcZNxQ60DXcDiYZStm8yvgcXLrOOgiL5UI0BERLe3DevSoZYeK4RqBMgjC6NTjRMUMNNIEogiqqjGCbfpkhzN4vvYYz2v5m0KeaO6m2I3CeNZTwAb2g6jgEV6rpScgGQjSZC2SqIaJeSNZCRZXwMws1KNdCNJEFoVSjUuyEgSTDWSjSQBdQmhGgFmEDRHIxqCIvKo+fYdFogi+lKNWWZwtSYZSQIbURXVOOU2ZQdBx9RTe6zn1bwBo4Vc5Rk2eRZ+sALBDY/sapQ0PGxRaXiemCiMn6C0AOKYnKgook7zxkERw+oSSjXyMpI4KGII1dgZSXhjcsKfZXSlahJYdfGkGoEIpphAyYQv1QgQ52hubwFbnfa0xwqhGgEmNR/6Phaoxi53U9SGz695E2fneqxn0bwZY740xnwNQPiALcPdpEfeElnTUzg0YwcOA7PXhZ+RRNC8SQ7N2HVZc2JPxMPI5E0w6MCiG0kCUcTNJPJ2GK0J0OzNxTQ84og/mWqk6vcCUffJuZPFuKsRAHbrjKTfC6tLRzVOPotUF2YQNMNlLp4tI0aSVYZVZohnS8DnvpdKvSBvj5a19htr7VcA0t1aKV24H9W4XWUwZiloVSjVSNTvBaOIEtWopYCXscemqUZJ5E9qRLOsaeACnyWUagQI1Dwl501oRItxGgg4BUEvYyKJ/+gigGgkIaK7oyuZczasLjqqUWEkYdWlLoDy6PXHQ/XUAFMjytG8TV52HNezaN4eLUlUymoSApLWZVfjNNXYuZuoeU+eK5Rq7DOSFoAiylTjdF347qZwDc841aij5mnPQnBoji7xMGozHo+B5gsGihiQ7wg0daktCEYSAlolji5Kpd8jTPEQUcRpCpg+Gs+zLiI91+VufgJ1kfXU0xdQgJzxGDOVwWM9w+Ythcai/YB5ZiSFUo0AUWMR20WjiD4AmGhVzADV6bqcRP4M+iRQY6FJJh8ZtA2cO7Xmz66SXY3jzmzgHN0NfJZ81VwOQw0LnvmOAHM0HgOtEp5FoBp5In8O1TiNIj5MAgO0hiewLvqzZflGEv2UmKm6sLSIr4DqAFSF1x8XzxaP9Qybt4mXxZooxAS8O3Fx7qRAaQFdI0p6lnLfiD891iGQaswzg81qIUaSsoYJoBq5juYwtOogaXi6JmEEmaOnkwe6zkQ9koCKAMtxnckifw0FTMoSjO7QnKa0OEaSMLRKRzXK5gtuw+P32Q9lQoAIIIc3iiiZ4eRzkqrfAwiN6AttOr6SQNuBtyN1GGyC29GW9bLwoxqBduTPAmjT7mD1pRqpTUIoiijOzhVoIHa0TiDlEELP0dAqILguzXxDvwHoAHGP5etmdFVQVEgY1UgfjeerE5Ooxi53c3KPsYKgA4GBUqIa5fcxzW0aWpfAOcAAMwiaBNi80KYTK0muUGAXLhoWug9YCv1e2Cgm+WUhU8DUW2v54K9F1DQJQBojCWFs2TRa9aCkGudH3kJjHPiDwyMK4wuJAiZG6wTssbq2OJZhVOOul0wEHq40VEQKgZYoYIaRJOx9LF+mOyYkReBwWF0OEtVYyBQwNX8PiFcXj/X8mrekhYwFB0+HjgIxYHr/TalzNSaIcCHoRVSDtkeQOe6YnPAg6CDkjZqRRGh4KFTjErKrwnPegPm1iCIqAsjIG2003raZSuH9uReQNyXCU9vTv4v32oZlCXbP4pu7CZxG4wWv4LOFUBcWqxNal/Il501eIoS6jCYB8Bf5A8sR++pdjXL8QfAKvR2pqMbxmgANmsCb1/ixcYd5rFCqkRsETYgKCaIal4FWAc0ek6nG6XcYwIzWCbuAhlCNS5k3rR6/pqGAWRNJoov8U8RrxEYRlY3oggCbF8PC1ErSJIRm8UiGhRZ5m3IEbVY8VAQIsqaLSAKgMJKQ0Cog6AMmU43TzRs3Ad/6O5oDqcbOSLKEeY3BVCPdSOL3LHqqUW545jaSiE1CVTTzRiffYcsIG2dQjTSZweoKMNmsVONuneNIMZJ0Z0ssPbWGAl7GaLx9UWOTZ8iyEZDDYz3D5m264dkXNeqZ3U0i1ahB3pg5b0AY1SgFqE4M2gaalzgtiwcIRhFHl0ADARGcWkF18W/eAHLe09F/XmN4zhsxfy9gTI6eakxkvgjQ77EoreZrzWskYVCNV6y6GBMkmWDUhWckCTX2Sc+iQ944Z0sonV1RA3qBz6x56zZld2v0XgSd2Fblapw+kBZBm5ZSBpdMNdKh7QBHUAjVCJCDoIGgA0kOgxUaUabBx9YnRNlxhVKN21WGjGokiRTjAOjdpjMHj+qpxuVT8wyqkW8kiYUiaqYSkIwk62sAJpg2HR0ppTbDMY0k/nE0TLMCAKxcfrMx5l8B+ALAWwC/tNb+V+p3w1hKjUX3YfNawaiI1tUohEIuoXkjUI20RjT4plfhOzfDobUA1GjVIppqkWp8AHa/Nvk1eEaSs1vr5trpjzKoRmMMd3zR8WODIo5dvkaWON+wG7StcpvOO2xbb7rS0KbzGkkOfZMw8ixKVyNANJKEZqONPYuiLjQjiTGBusoa69wgH6MaFXmo50aSoOaJIC+aPCc9ltjBGGN+A8AfArAA/g7ALwH8GoDfNMb8Xvvzf2at/Xvqd4UeBSkAACAASURBVOa7FNlVwZuyy0iKRs91g7bHy3O9yVG2B9vkoGtpMeg5AvK2DLQqnGrcrVf45Uc/hOnRSlIXiQJmhVqf31q/5/RHGVQjwMx7umkarOoo/vtdLj2llSp/LwTh0eaJpdLv3QL3/+z1R+XoJp3IH2BG64RSjeHmi/n3mOJ9DKhlBkHN27q9dMZ6H3usyebNGPPvAFhr7R9Jv88Y84W19j9TvzvXZYyorQLmD1FluBrPNRaU5i0q1Th9yDX5e+wmwX0xqMYdc/IF4H/TE6lGTSM6v1NLTTVK6C575M/hg0fzpqW0xpG3PDPY0owk4YaFUcmEYgwTvUmIJoyX60JvRKPRpprRi8sw+BzKSpbkADq2ragwzTMIK8ubBi4IsEmrefuZpiGz1v4EwH/hfEsha/pxuHlPYdb0cFdjq0sIRRNCN6XK1Tj+ogCYRhKOFnF0CcG2AFEntvVHETuqcfJZZtHvuddFpBrrShy0DbBdwIjTiCryHQEmNf+q+bcrj85/9CA9izLfEWAZSULMF51+LyB3c83U76WgGhPp94LqIl2mHyZzNwH2vOmwujBjQgCh27HWvuv+vzHm357/WovKDf7e2ZagQdmtmaLSAI0FAXlbCrR9kDalAnmjuZsCmzd5dJEWeZvXbXqsFIGQn4h+TxxdpKCBgGXUhUE1AsRh292zFAHPIlKN43XZ5BnyzMx/mVZTjYpGdO5nUVONiYKggxzNBEkOXWbgr6dm06aTzZsx5s4Y8zNjzJ8C+F1jzK93v2at/cllQzfXMsZ8aYz5WgJu+DB9JAhVQzXSYfqQTSk0PBJaRZvXuGo+zAH0SSiK2KWTh7ubCAiPNJVAYSShTr7w+LzonYCKulAOI/8swQOBagSI+r2AuojD3BVUI30iSfnQmD4clzh3MjUFHGBYOGjc/0A6RHRz6+3OVs0BVuRuAguoi4QieiwRebPWfh/AnwD4LoA/apu5vzbG/DGA36J+N57LWvuNtfarbELgD7DnNQaMliE1CcD88xpVrkaF5g2YNwHfWqt48elQxKq2KKo5mzfhMFKk3wNMIwkBrQoQ+QPt4PAicHQREKjfE55FQWkBy8gSPKGIYRQwPePRB0Usq2CqsX+HLeJsEahGIXeTHwQdCUUsHECOuSeSSPo9j6XKy7DW/sIY88fW2r/tfs4Y86/RuE+XsyTatMt5Y23KD//N64+K/HdKqhEIFPsyKOCWzp5xCPpBM3tOpRM7UfNBRpLVpnnJ+qBVorZKRzXy3KYRUUSF4wzoGh6iKSYKWqVrRK/Y5osg/V4YBUwfxXT4AFzdOf1RBtWYsY0kRTsaL3N7h8gaZIUzeyETSfaFEOmluoCS8/c8Hc2ivMhjqXfGeePW/fcidG7ny0iGBVL4IBDchYdSjSf93rwDqsXkaCXCA7Dq4pddxaIaT+jufHVhUY27dU42kvg3CeNUY9skJB1bhrA9RqCA547WUWveUrmAAwaH7wst1aih5ol18dQiBjuzFzKRROf+T6kND2WoEtKmxpjf0X6hZejfppE3Km0aNI4lnGpcwlDnjmoMzkZbwLxGFdVYTIfBAst4WbCoRhq6u9o2uYUxnqWQQ0cBpmGB0PCMUo36usw9OFymGnV14VPAPqYYBdUo5G4CEYwknhcEmWqcrgnfSOI3Gk+kGoVwbuA8Umvh5guPNbkbrbV/ZYz5AzRBvH9hrX1//uvGmNcA/qfmt9r/k/qd+SwBeduuMhjqmJyQG0V46CjAahJeBVKNYRQwFabf3gL79/Lvu1gi1VgVAKyK0gKYRhJ3OptFNZ7vsZttwEQSY7zFvnphvCJLsDWSjI6l06yoVKOyLusVd/KFJzUvotTAp0HNE6hGgGkkOavLK7c/qqMap2vCNZLcArBAcX9qSpVLTjLQzZoG5jcs7CXzhccS38jW2j83xtwB+ENjzG8C+A6aZg4AfgrgL621v6B+V75LaN6MMdywznLfuJuEG9nlYlCNy0CrNAGqDm5Tlubt/T84/zGmqxGYFxFlUY1LGILOpBqr2uJYCfl30lrv4DuvsR+APoq8uVDA84Zay1Sjkprf5PinDwfnv//JCjRfhFKNQAxE1K8u37mRqMbpmgCRonUcmzdVKsPN9MSWKBNJHEfjFVWNqrZ0zZvWsPAOwH+k/s0xluIfNEp21e6N+o/1rsZAqpGeX3Nw35SnwyjQbUrNSPKjs9lUI+1w9UJFOFQjLQga8B7ozqIaz40kQc1bN6/RM/ZklRms8tC6zN8kHKSg8XIPwDSjBCcWXb/niSJOv8Pk9zGwkIkkpfAspfw+BiKck4dvgdt/6fRHdXWZfpYsM7haZzwznK3aZl5ugLslzgH2XOqvZoz5P4wx/0s7nH6ZS0DeAOb4Ir+bnt7VOL0pV3mGTZ7xhPG2Ot38lUumGsvm62qbhBnDk08DncMpLYCVTu4n9j1IUwnUlNYS9HvKbLSUWkRPvasqdBRQXXYOZXObD1rrMM2bypktXAaXMvki9H0MMPV7/uaLQyGNxdNSwCT9XojBR5PzpngWHjXvVxdRT+25XFrB/w3A3wL4PWPM/2WM+akx5k+XYVRolwZ5W88rKtW7GlNC234fMD3VmHpaRAg9J1FaqWnTGFEhekoLmFcjKiNveqoRYMbRRKLnADU1H5yPlmVNA+f9LGHObKC57NCimwD/ZxGZEPl9fL1ZkXMRY1wQ9BQwNX/PsS491cjQIq5zPBzny3hUnfkeyyUq5J219ifW2j+y1v57a+2/QZPz9pttE/fr1O/MZ2mRN6rN3o0KUnXhCqoRYN70Qp9FahKmP2CdkYTystjees1rFCngQj93Epg3FFI/ukjZ8LBQxBmpRr5+z5dqDMsTA04UME+E7WeKkd9hSp3Y3BNJVPOZ5ffxIiaSENymwPwTSXR6av0em3MiyWmyyny06X8wxvynC+r0v1hr/9xa+z8D+G3qd+a1dJo36gfMmTYVNmVdAXWhdjfRRP6A+7OoXY2p3U1wflnoXY2pjSQxRf5K2nTG8GQ91Ziamo9ENQqDtoFlTCSRqUbZCQg0n5fOSBK0srxBxzzn51KoxjXbSBKLapTrwguC9kWrNEkGuj02d7TOEmjTnwP4CsAv0FCnfw3gCwAwxvw+ljBtQYG80Qvp2IXLqIjuMAIiIG+uz9Lq92RXo4YCZtPZjs0bCUXkupvOHM0Oq9dVilSjRJsSg6A9mwTVfEPAIfaEmF3luA4kqpEaBB1SFwLVuIRG9KBB3pK6Tf2AgVJNNWoo4HlH4/WX6bE91o34U5wtc08kEYEBz+WScfEzAP+DtfYvAfzlxa/9Ap7NmzHmhwDeAvjCWvu1669f/Gbx77tas2lTT81bYJMAEG96nmJf8VmUVCMA7DYZz20KzKbfoxtJAGdH877QUo0J8/cCjCQUqpHZJGxvgX+OQM8pqcYlZDyqtFVKVARonuXNtfO38Xh55nCJmrdCjqQAHhtJRsOLNStfNwisq4xFZYZL7Db1zBLsZSxTuZu2Vj/LP31wk9EMLs/mTdTtei5Xzdt/Hvm1n1hr/971L28bM1hr/6b97992+fWnX1CLvM0XCqkPUNU0PKSwzlDzBQNFpBlJQptqRl3mHRyuEpMD6adFFPeNLMBhHTQif2HQNrAUU4xm3I/iMKKjVb45b+FOQG4j6u9oZrlNgflMMeI7DHCggNlniy8wEHaZBphu00jnpOcKagWNMb9ujPlX7aQFn9WZHtD++FuOv375DYl/4dwjTGSqsZsJqIC254aDScJ4gGgk6UWlnuaLQKoRiJQl6LBU2ipAbSSZUyOq0rwpawKw9HsBaBXJ1QjMmxovU41aCpg5ONx9IklZ1ShJVOOOOTvboy66JAMXCrgMN5Ksts3liq5BdjxbFoAiLqp5A/Aja+1/BfBdz8iQSy7ou46/DmPMV8aYnxljfvbuw4P4F/JRETbVqEd45tZY9FTjaMOjcwICSxCVcqhGYP45mnqqcbouXCOJ72UnfA4wwA6CblGR2k1kz6Ia+fq9CPEaDm5TYL5noVKNMzuaZaqxBOpS3fDU9qSfDVpeKKI2nFvvaA5esc58zxX01ay1329//MUYpSqst2jGbfn+Oqy1X1trv2+t/f7dv/zvxL/wep2jrC2OoZsyy4H19axwMC/2JBa0rQsdBRbQiIpUo+PLYs4gaA3VqBi0DbTUPEUYH1KXcCcg1216A8CeLifKxaIaqREu0ahGvdsUYDqa56MaF0+bOkg/aFmCgNceY0pyaJfp1VUjzWLrqT0XtxV0Xz/FCV37AsCPHX/dee3YHzDXzBftfMOUbtP1rtmUvqJS6XakdJvSXhSAh9hXGvfjpt/jUsBs5E1HNQJLyBJUoIiKmuSZwWZFGpMTkPckjvtxcJvysgS/bdx7ytVRjfIYJj2dTQnq9cgSPE1WmfjsFw+6wGG6fs8zT0xEqxxkBjNlCYooYseEaD4v6xVnIokxXpIJ8Zz0XE5frdW3/Y4x5t8yxmRZa38E4IvWiPDmzJjw46lfD1l8jQXb1ainGndtondN2ZR+t6NpqtHhpjdzRpJMabnUZf7JF5OoiJJqBJZBZzNG5AAxGlH3lzjjWbhNwk3j2usOdsXSUY1a8wUZEWXniTnkbnLPlgCqkWK6YteFPInIEeQAmIgomaHyXCJvYoz5DQB/CMCiMQ38EsCvoZms8Hvtz/+Zj9sUAKy1f9L+3785+7kfTP16yOJqLNwbHlnk70Y1As1h3b04vJeH2LfJ4OJQjTtWk7C+BmA8UBFFUKdi0DbQ1OX/fTsfWqXKE1M2PHwjiXtdZJG/shGd2+CjEfkrnmWTZ8gzwxdhK9HYg4pqdGxEmRNJrFWZ1wDeHGCAjVa5o4isoHFgfkfzaQY4x/0PNGf+7Tb0nPRh2xTorseafBJjzL8DYK21fyT9PmPMF566t6SLemvdujc8pxsFgWo8y+EKb978bkfi7RtIi1ZlmdezHMSxMg8tvSwfCrsFiPxf7yaaTOVYGYD5LP5o1agzG2ipRl3TcTVjhEtVWxSVFRpRHdVojImwxz4AkLPMACXypqSA6UaSumzG4ykbev2IP10YLDBfELT4LA5UI9cU8wq4/6XTH2HNZwYiZDw6Bw7XrXM/IPtvYEkn/s+ste+kL2Kt/Ykx5o70PUVdfSFZEOrDr5z+iDyr0f1GMSdML+peAPVNrzOSbEJvKJ4vPgYNBMQwkswj8gcaNOFX94XT3z+4AkawiVTj9aSnqV/8jEf9s+hmNbrusXlkBiINZC1Q6UdKAUSdGNA8i/LfUUQRPUT+872PeVQj30jiHncEcOsyV5agKMnxXJOn5HnjdhkF0qJyg793yYse1ukh8me6GoH5YHo5T0xPOXAbUR+bvSbGQd/wUJqEztHsLPbV5Ilpm4QVefKFzx7jUMC0IGiPLEGdq9F1j82DiJ5E/uFUY54ZbFcZeaC7Q12IeWLcs+VV0wBX+osTU/NGbUS9Mut4xj6+kcTdfMGOCQGE5s0Yc9dmqP0pgN81xvx692st2uaT7Tbr4sL0r7y68GlXo8/LYh6Y/iA5AbusJ2V4MjDfvEbZbao/WBvnbB1uJAH8EVGR0lK6Tem0qTvVOF0XBwp4RkS0D+eedDXqqEZgXjpbdAL2iLve0TyXzEBsEjomxIUCnim+SXTOOtSFbyRxR9w3U1Sji9t0biOJ5DL3XCLy1ma5/QmagNw/apu5vzbG/DGkiQcLXPS8Jw8hJk3kv2Y7Z32ehUMDzY4iahBRB1QEYEY5kJtqJ+SNpBPLV82/Hx2tcqOA50arJqnGOZyzHkaSg5qe0372WVNvWvMFkwJ2eB93RhLuvGmXCwIvd5MLctw2jaPDaLyGPVgqyEHWhnsulcrdWvsLY8wfW2v/tvs5Y8y/hucw+jkXf8ahm7tpX1QKVyNmgOl9NyWn4aHr9z78N6c/wnICAo/rchPsbvITyFIbnqKCtTZccOu4x3rHmYiIJm5EPZq3gyQmrwoA1rHhmUfzdpAMCw4HKxBDv6e/IMjPom94okwkcWqqebmbdJ0Y0HxernTSeNU7DHCiTTmueR8XsPAsnstlMP3fXv73p6JzO190Lr9zNymXaqxMvmlck8Lizmv0EWLy0ar5GlEBRezcpopFdTc5ortVbXGsJERUTzVeb/L+awYvx7qokDcXCpilRVxt2nmN7qjI+ExjN6qRFq0TZL4YeRYHqhGYmzaVUET3usyV8bgvG6oxy8aoRgczHNVI4lcXVu4m/Wwp3EbjiRpkzyVp3n5H+4U+Ff0blzb1oBxKBfKmPVi3HW1KgumPH9w3JS1AlTjU2dOwIE4lUKIiHdpG0e85in3FrCfAEXljUvNu6eR6kb+yLix6DnCui94JqEd3abQ84IRWMUX+AFG/50EByyJ/97pwm2oHFLGoaVRjlhlcrVkTSdwHuqsc89rcTap+r61L4aarnDzzPZekefsrY8wfGGN+3xjz+vLXjTGvu1//FDLegNOYHI4w3k/7wgwdBci3o+Je/UdEIaYH1TjX5IsDae4kECEBnynABtz2WAyZgXKJz1KVgK2cUBHKmBzAeY8dRJG/ntICiDqx1baZc8vcYw6UFtBcduais2WR/0x1iYJWOdaFTs071EWUsez1uZvsLEGAWxfPJQpyrLV/3ma4/aEx5jfRTFfo1k8B/KW19hf07yzi4o3J8XM3/YvbiX/2cu90GAERdAndDVZYTKqRPkvPQYvYU42EGZoAO53czdHMphrpodbUGIeOOnG8IBQVJ2ndB0Uc22OFG1pFe4d5jMaTRf56SgvoKOCZDtaywibnUI1Ah4jOlyU4fQH1qct8jajozFbWZLPKsM7NbDKDLqSXvbSGhXcA/iP9b59pzTkmRxbG6zfldpUhM0S0CnBEE3jIGz0U0tZN87i5Fn/7URrFAnhSwCy0iijABhyRN7LN/v0/qH+7jFa5IQm7M2o+vHlzo+b1In8Xeq7kGEmcqXmtyF9/2aHsr240nqORRETcAaeG58OB6DZ1uOzIo+Q8qPnZzsl6+jPq8D4GYlDzLnT2DCG9n8oyxnxpjPn63Tudf4ImKt36wPQ8J6AxJgJM7wJtawwLeroBIFrTAXUjqk6/12ZwxbCmWx3VJyI8/aBtV0Q0/SxgtbZKK4ynG0mYaFV3sOoR0dqeGqmgxUYRXevSOpqDlweKqHKZA+kR0Si06V6duwk0l535TDHS9B79OQk058tsdZEitTyX+isaY/6DMeY/tf//zsXMEHtZa7+x1n51d6ezIV9vVvjIhOkdhcvTcPCD+qUHECkHR7Fv3Y6yYmmrOnfTx0N6sa/YJAAtTD+Dc7ZzNHeHiLD0uVWOiOgM6eRinpgH1QiQ9phjZICeapxD7+qGIu6LWkk16hHRe0ZNAHdqXhTGu1GNtMv02iekV5Kx6N/HABER9UarOI55gHhB6LMEiTp3z+XSDv4cwB8AfXjvXxljfp/+HSVYc9vsWcgbEMPdpHuWA5lq7MfkzJCALw50BmYU+buiiFyqcc4IF/3QcLdGlJYp5ohSA0SqkerOdkcRdVSj/vNyrGqUM8XR6KjGxPq9LGsaOEekmvU+Bpq6UEEO+jmpb0R3mxz3DDrbkaGy1s5nWDhbbwD8yBhjAfwYTTP339O/owTrepPjnz/os9lGl4+7qVRoLK6/q/56c43JYVONADGHyzGdXJzV2A/adhP502eC3sj7os8TY1Faa3KES3UEymOTlSasvi4kqpGvRXSnTVl1oc8Cfv9/q3/7QeMyB9yp+aLC6zyQXorRiCpzNwGinhrwcmd/94YTQwUQ5UVrP6pRZHWUpitgvizBorKoreD+91xOX9Fa+++ttf8jgL8F8AMA/zv9O0qwaE2CRxd+FEWljtA2PZ1c9ywq5K1whbbJGgslrcUWk5/G5KTXIopJ/oW74wxgpZO7XRDECQuebtM5qMZDWWOdG+QkqpFOzTsm+euoRkdEdIYsQVHk7yCXAE75e1apUZ1cHhmPoxcdwI9qpI3G2zlLJmQZiwvytuLQpo7yIlXupudyad7edjo3a+1PAPwFgO/Tv6MEa7cmiRfXO8Bks1GNwHy5QmrkzRHa5opKHVFECRVxMZLMNNBdfFl4OM6AeZLWmXMngQhoVblvsuYUS5XvCMykRWTTc3NT8456JJL7H2iaBGtPlH/Qch0nJ03vcXwf00awAR57TLogOJ6T63wmM5xCkuO5XMZj/aTVuXVhvb+Nhkr95NZc7iYxEBJwphrp41iUNwqRnusHbc8BbftRwCI9N0ddHMW++obHbdTXPHVRpt87uBoBIloFOD3LNCriVpfenc3KFGMK48s9kK0axEWxdkxq3nnyhSLJ3/EdBrBkBu4TScS6OFCNO9YUD8CpLkXVBGnLjegcKOIayLd6M5x0tgQs57Aja+379sdPNveNVkigefGpD9YYVCPpWVabRtvhfLCOpd8f4TJoG2gahTky68RncaQaAaa7ydN8ISXGK+vSj8mZ49ZaVgLV6OgEpOr3zuqyk++wsnvOXeQPEJvq4r6JkcnkQ0ZEET2oRmCmCBcV1ejGHgBNXfTK5ZG1uQHu/0n920UU0cNtWlQWRVVjHaxFdAc5xNmmc+j3AKc9thTa9Nms3SbHkTYmR19IPdU4Q/MG+D0LiWoEuoZnDv2eJCZ3oxqBhj6ZYxyLjCL61GWeLEHVvFlgJm2VeyMqCrABp3mgwDyj8VQif0fdLsDUIrpRjSIT4tOIsi5ubJG/Y8MDpKezRcc84EEBkwEbV/f/3IaF57K40LZ+U8bQvDX6PZYuQQ/Td8/CpBqp8xqzlV5Uqo6kmIMCdssVkkX+HhQwPe9J/yw6tEpXl80qwyozJETULUvwoAnnNplq0DZARqt86iJSWm70HEA2kigNA6qJN46OeSC9kaTsqEZqDBVzuoqemheBAcCDAl7hoahQMwAbhyxBFYrouT7T5o24Kbf62ZMi8lYV7aBtd3qO4m5yuh0Jz+JBNdKgbWPcUERtkv8cNz0PtGqVGazGaA5fCngWOltC3tzrwjfF6PeYSi6hTL/nxp6410WmtNyE8QAxfw/WAUXkuk2p+j0XhEc1Fs9dkgOkzxI8AQPEwOH2Wbp3fdDyeJbRy3TA+kybt7ngYGXWk8um3OawrDE5Djc9+VncHGcAcEOFtvUoItvVCBDH5HSOZnVdFAgP4LjHSDZ7R8OCHEnhXpcbloPOOUtQI4zX1+RqncGYCFmCirUX54H6UY1cI4lLI8qngKloleJirtOJubv/AVZdfEAOKXdzpj3G1u95rpfmLXRtHBoebcq6S/ggW/uivVGoqUYX5I0U4QJ4aSyYVOP1ZsXR77k6mkutMN5tj3H1e/qmmt6IslFEh8uOnO+or4kxhhjQ7a4RZVKNUbSIClqrrGqUdKqR/D621ekzO7FiUI10/Z6SatTHHblJPwCmKYbkmA9Yn2XztmPD9Kwk/8It3BJgj8lxaxIAPlo1x5icfVEhJ1ONfHcTS+Q/IwW8vm5+ZIn8HalGYN4sQabIH2A6mt1RxOm6uGdwAemzBLvL9LTI393VCKQ3xahE/p5UY2pgQBT5O86bBSLIDJzZthfalLLmSloXDQs+Nwo6TK8XYAN8nRgAXhK2C9UoOc4A5wOJ627SU426uZMzNKJZ5oZUayhgn4Znpsw6GXnT1wSYN0uQGWy7yjNs8ix5XfRUo0+TQKTmFXVRjfjzMMMBRGq+Lk7v0okly1j8EHcgfZagCHIErM+yeaPa7LctWlXLaJEo8vdEq4A5bkcdTM+jgPmNqD6LRzyMAK8xORR3k2OuEHPQNhAjjoZIzzlQjQBxTI6jYeFQSiG9buHcQJNbR8+sE1ZPNRLdpkDXiKbNEhTH4gH+btPEe0x8lqpAk7s5o04M4DxLx4TMdrYQ5UUB67Ns3uguGtgTlDuxDmrDgjvy9pF1o3CgtHRUo/vt6OMhbWq8jPD46fesJbmbnMS+gjC+eHAatA00aAJlfwHOGUlMMTlA1O9leUMDqxFRQYvoGM4NNGalxR2sgLPbFCCalRwmX6iQN0cKeLvKkJn0tOlBRKs8qMbtPBNJ5AzREOSNFN9UHdqGeHq9IG/CMsZ8aYz5+t27d6rfH8Vmr4BRxSR/L6qRnMWjnNcYg2o82ewTi0pLhR4JmFcvQqO03GggYF79HptqvN7k+HggPosDfbJcCliv34tBNQLNHqM+i+p9LFymAecLgjGmueww9phDlqCsQfZpeCJMJHE6J7lB4wAJ5HD6vLyE9E4ua+031tqv7u7uVL8/jqiU8OLrNqWHI2iOl3gMqhFIn05+UCf5z6VFdMusY6asAw1aVdYWR0YcjSPyJkZSOFKN1HmNyrpUtUVRWYUw3pFqXJNCrft5jYrPvUbkXzy4U8CsCBcPkb+cu+lBAVMnxRCexYdqjDLXWPMs8eRFqTMem7Mlg3EwVWnXs2jeXNdsDU9LNY7OiSs8QkepFmiXRpRPNXLznl6d5jUKS0U1OgzaBuYzxajq4oGKAMQ0f21kgNRU+1CNm5zTJADqLMEYGVxAlyVIehalCHv5yJserdLLWGZCRB0mX8TI3cwzg+0qI58tehSRKS+KkiWorEsM1A34TJu3dZ5hnZvkoZAHkWoM2ZRpb3qHCFTjqUlI/yyyANu9SQDSR7joRP6uh1FLnySO1mnGY3Ebnt1mhX1RE40k8gtclbLuSQGnnmusEmB7xp5QENHVBsjWHP2eR8MDgJi/R9Qizt2IOqFVUlRIABOSOFpHfIcFrM+yeQO6eY2JYfqykh1ngJ81nRKvoZ+j2WQ9KZA3Jwp4npE/sjDeHeE52exTO5olFNHNPQfMk05e1RbHSlMXN0qLSs0rDT5qYbwPBZx4IkmPiow9S101kRAedaE1oqy69FSj++dlNkmOiFa51oVEzTuAHPuywmaVIctGqEaPumzyDHlmyNQ8QV4UsD7b5o22KXshpiaLR0Leq/C6ygAAIABJREFU3B1BpzE5acW+BynJv9g3Y52yGalGgKTfC0HeWHXRzWtUhfTOSZsqKWAxZR3wphoBppFkPqpxjrnG+ibBERFdM6erKCngCEn+AFG/t9oCJncSxjNzNwGmfk+fWSczVO51McbwsjcdDQsxYkKAz7p5S59OHmPcT5wxOcpn0TQJjun3AFtUqnuJ86nGmfKeVMG2MzeiinmN4sgywK8RZWtEGWJywJvO7hDK4MWiTb0bHqYWUduIxqEaafo9h9F4YpK/R+4mMA9tGsMMBzCnq7ihiC/IG3nNMSancc8JAmxgxg+YG20qH0burkZgDlGpYtyPY024+j1dXbqDnDnuB4iQTm7r014fWf1hRKYaufo93UQSUYBd1+2gbVe3KdtIQhDGB1CNqSeSyCJ/X6qR6GjW1qWssMkVVKMzIsocjWfUdWFPiQEiGEm0z/JiWOAu2k3PgZ4TqcbudpRvnL4FXjq5vhHVCePdPlz9mJzENvsDedwPwNbv6epylMavAX4if6Z+T3lrVaffz44ifhRRxF6APRpJ4Y64A/NoEfXCeHdU5FDWqBJOJFm8yB/Qm2I0sTqA1+eF8rl3QBEPpWKUHOBlVkqdJfhiWIiwrjckjcVq0zRbSspBlcHlmAlzM4eoVHwW9yYBaFK9OU2CA4pYKl58czYJyrqI+UiAV8Nzw0xaV152RG0VEFQXGlpVl0B1nPxtsrbK3dwDnNDdlHE0+rmTnnVhGa9cDAsS8uZaF7Z+T+uYj0A10vR7QGskIWmQAb9GlAEMrN3y9yY1yAHrM27eyLcjJbTNRqsAYvDo+rr5UUmfTLvnHpxfegBxoLsSrarb8NnpJsGdaowyJkeoi2oUi6erEWDr95TN29izWOtJAaefrnKQmgSPfEeAPV3F0bBAHMMENKgIQIw8UhrIpqnGEOStTGwkUchYgPmnqyhlLOzcTYB45mdZ08CpEFGBbQv5NqJ81U9g0USlQGuzJ4r8HRdvU+rnNeocmu7IG1+LqKXnuAhPNyYnZSOqF8b7NTwp8/f2ItXYol0eYnKAnYsYWJcADQ9AzBKsjkApoYhaw4L7zFkg7USSWNqq3SZHbU/vlqDlgIjGoBppxj5AXxfVKDkPkGOdfszfS1RIhEUVlW5udMJl8Xbk2fCwxuQA+peFSDXunYW+QIQxORJaJbm0gOZZHNEqIILNXolWiaO+PB2atMkXgPws2pR1D3MPkFa/J5ovfMNgmYhoR80XymeJVJe0+j3+WDwgAjXPbEQ9qPn0IIdSXuS4ZskSLIVnCVifcfPG5vIJugRfqpE5JkdxO7JWQzW6i/wB4ssiXzUfcKFJUCFvxcwvC2cUceRj7Uk1csfk6MS+YiRFAKUFzKXfG0Or/KjGKPMaxctOjXVukJOpRrp+r3wAqul3oiqcG/BHRFkyAy3VODlKzj13EwCu1yscqUYS3diy6TB7X3kRE+TQZzy+IG/ktVvn2Bdp3U3RRP6bHB8T3ii6JkFG3ma+HSlu4HqRvw8iyh6TEyjyr8smpmPWRlTrNlWK/H0Dh5loVegFwZtqTD+RRB4l5y+MB4hoFSCiiLLI368uO6rMgGhY8DDD0WOCWG5Tz3OSB3Jow8ZfQnrpi+pu0iZ6qyIpPOk5ajr59O1I7wT0+4ClDOtUifyDGlFG0nrraNZSwNK4H6+6rPAxYbSOLIz3axK6MTkfD0TNmwKtAhRjmHxp06R1EbIqA7RVAEh7TF8XURgPeOdVfjyQzpZCHo2ny930Y0KA9BNJxOk9vu9j2kQSuXkrqgYcmjwnA9azaN6MMV8aY75+9+6d+s/wB4dPF9Jai0OpePEFNAk8d5NOTC67Gt0p4NQ2+1gif4A4gg1wrAs3ZR1IH2otTljwbN7ijMkR6lJW01RjX5e5R7BBRhGlg9Uz2JY+gg1Qoe7iBRRm/hFsgKxFFOdm+2qQ02sRVSCHpwbZ2tO7JWip3scKYCBgPYvmzVr7jbX2q7u7O/Wf2SW22atCR701byuyu4lBNbprqwCyu0mRKyQKsKuyoRvnbHgAldj3IIr8/ZAEgEibrraN7iZU5N9pq3yNJAmzBOV5s11d/CYsJM0SLIXEeM+6zKVFnJZ+PHhRjSdqnkQ1AvJnXzUlxu9zD5BBDmk0niTy921E18RnUVDAomM+cD2L5s1n0UNUFR8uIA7VyJ/XyKAa/ezcqfP3xEbUkwYCYiStK+ls8txJgGizN0ZZlzjIG8Cca6xHEUUaCHDeY1lm2rqkdGdLs3N9Rf7knDdAVxdJ5O/xub/Zps8SjCXJoWcJwgLF/ehv6alGydjnKf0AiHXRni0vtCl38d1N+0l3Ux99IN70AqBtlghbpE7aG8XkTe/BGxXhuZsczBfk+YZAemu6KIz3nDsJdA0PS4uoQxFXmcEql5o3H0R0xWl41rvGwad4lmnkzS/GAYhhJJEYhHjp9wDZsKAxX4j0nI/0Iz2KqBP5hyBvaWQGurF4B7/Pypapc78RUUSVsS9gfbbNGz0UEpj8gKm6cE9omzsEvUVFJjalyOXXFVAXgRqLNFpE8VkCGp5Gv0c0X6hRxBiNKFu/J6GIAsIT2ogy5zUqYk9ipN8D82gRRemHB9W4zjOsc0NCRPUoYizHPJDubAGUIn9P6QdAznicMMSpdGIBkhyA2FTb6vTZHVgvmrdIiwvTyzc9lcjfm2okD0G31ekGPbDklHV/qjG5FlEr8l+Eu0lpWBCpxhknXwA6sW8pCeMD65IwaV1FaQHzPks3Go8h8vfYXwCRmteaLyKNK4wygm2iLmVVo5SoRu94jfZ9TAkbl5E3NcjhJf1Ie+aLcUeB67Nt3qh5Ty6bMpLIH2C9LDoRtvwso1RQEUADsUXYiiYBiCPy79xNqcbk7IsK+RTVGFKXxBSwXuQ/95gc3R4TndmAf/Ao4x2WZWqzkoyKuO8vIMJ0FcVlJwYTcrXOYAyJCVFkCYqXaWA5blNABXKIiGiA+YJLzU+xbcJlOnB9ts0b17DQNTwBcHBdNbMFA6Bt7q014FkCXY0AEUUU5jWKTXVgwwMQn0UlwOYnxgMxsgRlRHTyBR7aiNL0e7q6TLvnHoB82zRQjuuaZVgAVAPdxWfxbHiAGBNJQt2mfg2PMYYY0C1n1qnG4gVokAF2hEvgsyxJv6epywvyxl03bKoRUAkxR198nmneQATnLEB6loCXBQWml6McDhKdHeg2BdJZ02OJyYF2TE5Vo6zSoIj6JH8/aj4l8qaqi0dNgBgUsGyKiZFVCRAvCFneNF0Te6ynGiMk+QMxHM0Ekb/X5z5tlqBuxJ9/mD3ABjkC6lJXwP0vvb+Fz7Z5o4v8AVUXHkNMfhPDZj/xLIeIIn+uzV5hJCkbqnEdwdXItdkrHM0RRf43W/K8xlBhfNDnhUwBK9AqOd9x5oYH0DXVmpDeJTSiwmVHl7vpJ/IHmEYSDdUYT+S/yjNs8iwdMCA9S1U0I/68aFPmOSkDA6J+79t/AP7kN7y/hc+2edusMqwyk04nJr0sQlyN7FFfgI7LFw0Lc9vsNVpEgWoMdDUCaRtRkQYCPOM1yLfWUG1V8dCMDPOhGjc5HmhGEuWzRKCBgBlmAYv6Pb+gcYCo3wNEd3bMhgdokGpKk5CvG0pdIWOZpk1DG9E0WYJihqhnoDVAjtRSJUxI0U3jTlXN+mybN6DZlMkOVukDFug4A1KKSrUooj/VyBGV6swXsahGepYgIN5aY1GNdI1ocd/QBiNLbBICqMbdZkUck6NzAceiGmkif0DMeKxqi6KSqEZ/tylXvzedJagT+YfssXQoon7EXwAFnEzzpnX/uz/LdtUZSdKgiHJo+kPQt/BZN2/XLGhb4Tw59OJFfmJ89zJdDNUYJCaPQJtO5gopxORAWDo51WY//eKLJfLn2ux1iKhYlwC0CkiXJXgoFCOlQmjTxGhVjKBxIO1Ekpgif4B4tgBiXQ7Ss1RFE//kWZcdS7+32gDZOgzk6JkQPyMJb66xHkUcB2zG47g06zNv3kgwvSIjSU6/9z9YqWNyFGiVOEcv0NUIpM3iUcU4zO023SrMF6LI/6F5eWbu7idu8CipLgEND8B0AX8E6nEU71AqRkr5NjzrHEVlcaTE0UxTwP07LGYjmsh8IeY7At5uUyAGnR0g8g+QfgARGtEQFDEA5ABaaj4Z2yYY+4oX5M177dY57g+EJiHLmwZOkxwt0qb+0PbHhMhbNFdj4nEsKkoLCJo5e39IqN+LRAN1deHsMV3eU0xhPMB0Z9tRCqSqLY6Vpi6ewbbUplqgGlU6sbA99pFKAU/RpooYhwCqcbdZERFRiTaVZCz+72OAqN8DmkuoJtg2grwI6BpRwrOsrgCTi8+yWWXIspFpIxPTGTTrs27eUop990WNzADrfKyQ/kJMgHhrXV018xon6ZN4Iv9+TA61SRhvqg9ikn/YbFMgnQtYJfIPRKuo7myB1oqR9QSkrYsqZT1A5N/LDFjU/PHb0dF4sUX+u80K+6JGzZprrDEsjFKNJVCX/nVZ5/jIAAYA0Z2tF/kvQL8nZAmqRf4BKCLlAtqNxhNiqFTnpOf6rJs3GpcPKODg5mA1YzP/inDkjXIYGaO6gevG/Xg2ojQKWCcqnU5ZfwCyFZCvnP/608GaytGsGfcT2CQkiwxQxJ74uufWzAiXaTpblbK+JBTR1qOIgEoYH+Bq7Kl5lmtele8oiMnnzqwDwg0LAdIPIDXI0enEpLrMDHIAosFHbYbzXM+ieTPGfGmM+frdu3dOf44GoQLiy2JfCqLlMuwDRuPyAYXYt8ZG8yzejSjpWVY7AEZEEacF2P400GlMTqrJF5IWMcxxBqRJJ++oxulnCXA1JoxwUaWsBwbbAmQt4khdRAE2sKw9dvwgooiimDwkwoU51zhkwkLg+5ivRZw+Jzf5FNVIqAt1Isl0XURzT8B6Fs2btfYba+1Xd3d3Tn+O1iQAYhcuIgmhXD51XqMkXI4n8geI6eRZpnsWSeTvWZMoY3KkqJDIIv8UY3KOkrkHCHY1Auy8p+G6qGYaB46UAlI3ohOJ8XURhLgDxMtOXTbj8QbWiWqMJ/LvLiHBS2p4IuZuAuyGRwhPFh3zYXXZrdkgh5QhqjgnPdezaN58F/1GMWkbVqbfLyGsU0onF8XkD41uLnOnGoG0qfFy+r0/KgLEmNc4nV0lxzj4Xw6ANJl1sRseqn5PcGefHJqx6Ox07mzZMR/a8BD1e1Jd1GPx/JkQgHjZCRH5E+qSDOTQSD+AMMNCIiOJ/CwvyJv3omW+ACouX6SBgIXkPQkwvSpAddfo5zwWHdoO0iX4NwkAMZ1ccDTXdRMXIQeo+j1LPyYnQWadKMAGgoNtgTRZgjqRf4Crkarfm67LQXTMh1NawELqQnD/A8TLTnVo8toG1r6oo1KNu3WOQ1mjohhJJKpROxZvASDH5laUsYgX0ID1eTdvbcNDczcFifzDhJh8aFtoeCKFWwLkweGi2DeeyB/obPbxLwgiKgIEifyBdPMa9YnxS2gSdM8ySTVWR++69DNnE2QJyvRcOHsApMkSlMcVhks/ALbBZ5zOVmmrPOvS7TGekSTEQBaqDU9oJNGgiJ7sFPCZN28dtN3d9IOWIPIXg22LPQDTzLLzWFRoW6GxEGdohlCNbERUoLOn6/LgffsGIiTgS3qkSIYFgHhrzVfN/hBQEXFWo+ceo47JUaKIMcXkAFm/N2ZYkMwXRSgqwkRE5YYHmKpL1/D4m64A8h6biKMRPytAUIQLQKTmy4cmimVg6UEOz0a0HSeXYq5xYyCLBwx81s0b/XZ0/DjubtJ04Wt/qjFlOnnMQdtAjDE5wy+9jmqcdgIegtCqVDZ7PdW4AOQNmNxjKs1bAJ0dZUyORDWKsxrDIly4+XtCXUZjHMIyuLjTVSTzRY11bpCLVOMStIhSXZRUo6/mjW0kAYBi/FlU8qIAd3ZtT0xF0BKAgYOEiAYyVC/NG8juppHsFlnkH9bw3GxylDVpTI6Ygq3g8kManm0aUWnnBBPNF0GNaBqxr2rcT4DIHzjdWilLQwGPXRDqutEAhdDZ2xVn5uxqA+Sb2UT+O6qRRGm+iCTyp76PhSxB0WUeWhcqIirVJW7uZhwKePwSKko/8k2TJOCx6NR8MT4aTwdyvCBvXosL009/wB6Kqn/RDq7A5o3rbmrRqpFN+VBUuNrEEWADXcMT37DQ/VtN1qUIpxp5WYLjYt+u2Z3eY2GNKDdpfbwR7Z5ldI8FUo1ABHR3rC7SHgsUYOeZwXaVJckSfJBE/kUo1ZguS3CveYcBC9HvCXU5CmdLYF24s4CFLEFNpFYgqwOQZQZjKGJZY7eJJ2P5zJu3lDB91X8IBlcgKnLalMTIgOL+yS91VKPciAbQc+ucNyZnAkXsqEbxWT4F2lRqeIAgtylAttlPoojKhifEfEHVVU7sMe2zLEFmsNo2AuoJem6zymSqMUBMDrCE8bL5QvzcA0HzQIFEaJX4LGF14er3ZJnB5DlJAzniT/DZS4BN4Jn/WTdv3ODR6ebtQTWrMaxJAOKHdaq0VYFcPndMznjSelf3mDe9VJl1PSoytsesXVgjOq55ExEeUsOTIjX+QT2rMaQuJGreGFGLOD3mK0xMvsmbxjCFTuzhKMw0Jrgam78nfv7eg8Ztmq2buCGPlVK/9yDtsVCQI1FepbW2eZZIQePAZ968JeXyVTeKAFcjVVQ6/iwqqpGA8ADERtTWg0OAxSYB4JgvaGNyZLfp6B7rhb4he4wY4TJJNdbt3xezeUtEzatnNYY6molaxAkKWGQPgKCJJDQjyXrXBIVP1EWUGAALo4DH3dmy9CPsAgoQL9PAdF0mz8lQDXKauhzKGtZKIMcL8ua9ukJ+ZN6OBgpZVjWKyiog1LDbNwB8PDDh4KcfsDTaKrI1HRhsRMWGByDQ2StUteW4myYczXLDE5YjCDSfF8pnBZikGsU91qMiC9HvTeQ9NdEHUwGqYWJyIAY179vwcOpCuSAYI8oMVEPDA0d9pZpIIgIDDEkONUtwHBGNCQzEGfM3cbZEPCc/6+aNPsIEGC6kFAgJUMTkQPy8JzF0FODp96h1edpU96GjY6iItcHQdpR5jQOOZjFeg9Dw8GlTIedNDINdUMMzJYxXzQEO+Oyvc9wf0mQJxnQ1At0FgYnuju8xUfqRrZpMQo+VZQZX64xzAV1fNz9ONNUxXY2dfo8CDEygVXV7yZ2MbgoMGu9BDiowMH5OypOIXpo3r8Xlv8e5/JRUI6dJGL8d6W4UHJg+Np3d12Xs1toNtQ50NQLxIwNEtIpANe42OY6sMTkCWmXMFNUYTgEnQ6tEJIFkWGDRphN1kTU84S7gZrpK/DgaGUUMex8DRC1ilk0/i0Rnh0pyEqFVHTshny2E93HkyRf9+3jKbRrYiM7evBljfmiM+W1jzFcjv/4rY8yPjTH/K/vv5nL5U114OpF/bMPCg4ZqJExYANhGEo+Gp896Cgu2BdghqhN7TIzXYOwx0rNUR6A8PvmlruExY4HVjLqsmU3CtPkifvPGHsE24ZhXoYhLQUSFukTUVgHNeyWFKUaM1whkQjarDKvMcFmdyfexFK/BeB8vAbAJOydnbd6MMT8EAGvt37T//dsDv+13rbU/sNb+ycjX+MoY8zNjzM/+8R//0env364yZIZ0GE104frh1J9OkzC6Ka2lQdtUzdsgBZzC1RhhCLpPXSiNaJrIgH2ZCq1KYSSRDlbOBSGFkWRf1HLDY3LvEX9AOkRU1/D41wRIkyVY1RbHSooKCZN+AMQ9luXN9zIoY0mhQU6TJahLZfiEmzcA/wbA37X//+8A/NbA73ljjPli7AtYa7+21n7fWvv9733ve05/uTGGd2tdXTXupoFC6kT+4cG2QDqqcXRTVgUAy4Hp50ZEqWhV5LoUFfLMYJ1HpBoTibAfjoqgTiCYArasMTnbV833NDCvsTMsjK5FUsBTtKnwLEtCqyayBPdSVEjg+xg4XRAoa6QuulFyB86zsJDqEWo+hfu/0wbGjnDZa2OoPmG36ZuL//7uwO/5DoBfGmP+LMY3QHU3bV8NU42StgoIvulFcTdNNKLjDQ9HTA4sgAImuRoBMlo1IPZ9OCpu38AnURex4SGZL4A0e0xEq4CFzZwd1+/FlH4AZP2eMJEkZtA40NWFqd/zlLEEMiEAm5ofrkuK3M0sM7yA7nwN5NtBFFEEbAgj/vysNA6rpUa/c/HTf9dSpW8Hfu3RstZ+3X6dt8aYH1prf8T8/qi31u3rwYN1L80E7F2N/puyH5PDuOn1m/LpB6yboRmz4UllTRfdpotreKYczQlcjT0iypAZTJtiYjc85/q979xsvL8OgMd12T2+jz4cK/za9QSNWOwbxD6EalyvcKxqlFWN1Rjyql3bV81klbp6Euoqat4oDQ8zS3AY4SmqGmUtRTcxGtEV/r/3+6Cv0a/tLfDxqSxIL8lZECI6EhN00Ey8YdHZ1Ekx42fLeO5m+Ps4evMmNFs/xQl9+wLAj89/sTUx/Mxa+/NI3x53TM72FXB4/+SnTzeKkRdrXTZBssHuJiK0PSL2PSX5jzU8HEoLiK/feygqrHMzfuBRqEamfm9cIKuigYBPQr8nRx8QAofZs4CB0aZ6MvqgO1jHzBmKde5ofh3avPXzGu9PDXa7VFEhFHouFdUY121KR0R/9fdPfjpV88Y3kgwhb5p4jfA9xkeqp85JSZLzibpN28bui9ao8ObMuNA1cX/R/vcPz34/dV3T08knhJiimHwh1nTAH6YnNAmnMTkMFHHT5DWNwPQpxORAfP1eGldjGrGvSDUS6hJHvzfw2ddEhRCaBIDciF7UpRv3kwIVeWAbSS6+Vn+wRnab0qZFABNUoyJeI1DkD7Sh1jT93kjzloBqBNggx/CZf9pjEsjh34hGR96kdeYi/Zuzn/tB++NbAD9v/0dv3ADgZrvCB0b4INDcVPdvn/x0ioYHIM9rHBH79iji2I2CcLA2RhLSi28iaV1FAwHLaXiEXKHYDU+qvKeHY4V/cTvxUiv3AEzTmHuulEaS2A3PzZbZiA7T2ceqRm2liCBCw7NZwVqFs1WztrcAbIMidk0pzqQfkRsebpMwTDXuNVQjwW16vcm5FPD7/+fJT5/cpkLDE9yIskGOAQo4gft/bsPC7Ivrbno1HUkhQqgLg7ZHLNCb1dS4n3BKC2APDh9uRPWJ8WHp9wDpYJ1wNO8TUI03VNp0HK06lAq3aSjVuG1pUwbqLkwkie1q3EWh5h/XpZ+sMjmYnhFsS84SBJ7U5WS6kuoS+CzbFQdxB04TSS5RREmSA1DcpjfshmfCDLeNfE7epKBNJfMF4Vk+++aNa1h4NQmhyiL/hWTxAONolUgDhYvJgZYCpopKPahGgsi/czdR9HvGjN7AH4papoEASpYgNxdx+MU3GdRJQkWAuGiVimokiPyp01VG6qLL4AoX+VOnq/R1uWjeEgSoAg1tWlQWRUWaa2zr06HfLtH9b20bSbG0s2UiqzIBQxVdv1dUWE1FNxHO/M++eWsgVBZtOuI2PXY3CsnVGIpWrYiDw8c3parhIbib7ll09pheRN3whL8sqPMaR7VViniNpYyWWV8DMOOat4gDnYEzRJQxE3QEreoy5Cb3GCleAwBnj42hVakangQRLqoRf4R4jb4Rpeyx4fimlA0P/Wy5QBFTBI0D7DN/jG3TRjf5v48/++btdpvjI2uo8/ZV8wKvH9+09mU9Pe6np7RCtS9EaHusERVT1jm6hNstsREdQUQbzZsmQDUQpt+ueI3o2LNophIEUo3rPMNmlXHq0uUijtRluqkOp+dut8QB1Z0r83BJNWoanvBnuWmfhbLHtq+bHy+fRaWtCm/ebhLURWdYCKca4+yxx2kG4h5jUY3bFfYFa67xqyZh4RJFlNymJEnO7ZZ4mR5LmBDfYZ+423QJ63rT6BJomxIYhOmnQ0c5N4qbTY6PrCbh6vXoppzWvXAo4Ottgvw9SfPW1+U66K+nIm9Xw88iOmcJ1AnQ7DEKkgAM1qWubaN5m9LvFQ/hNaGK/G9aLeJIkyDdwIM/912TwKBNu+bt8WdfFaDKMF90ukrGHrsaaUQlDXKXuxm8x4haxJGmWqwLSZJzwxxZOFKXh6LqkwYGF+19zLxMt++wARQx9pn/2TdvnVOLIiyduOmJED2wrBTsDhUZ2JTTupf75sfAD9jNZsVrREeatwdJv1c8ADDhYt8tG6Yf1lVOH6z3wTUByNT8wK21R3giJ8Zv8mbYNmWPjaCIKqqRkX7fN6IJ0KrIe+xEAUdEEdUBquGXaQAcZmcM3S0F5yzpfUy97IzWRWp4umcJr8t9UaFmATa2Op3h7RKTDAiN6Evz1kHbFMphnD6Z1r1wPmANHFxyMpK2rxqB7IBwOUUjesOmswdQRJFq7A6jAKoRaA6kD8xn2T99loNEZxOaBKCrS7zmLVXD08XRUC8IF3VRNTzHj5SLDgBO5NF61wyXH6PnpPdY8Oc+wvt4/+7RT4t5YkdSw7OJcbYMf15G2RBaw0PcYyN1kYEBDvJ2s23iaLiAzdPPvni2AC/IW8i6oX7AJm4UEg0EEG7gMTbl0xv49GHEe/HRNW8XWsSHYz2dfk84jIBG+xJT81ZWNY6VQDUeOc/C1VU+fZbTKLmpG3h4wwN0usp4F4R+/JpEnwTW5WqdITMkqnEERRSfpSqB6kg4WInmi7F3mBSvQWp4Tpq3iMhbK2MZjW4iNjwAaY/5ni2kulxTtYjjdPb02fJCmwavKHM0h7rwJFQjE6Yf35TijSJbBc1qBJqX+P2RlLR+9RpNWKcHikiiGnkNz904dTIWbgnQaFMqnT2g39Npqzgo4jWVzn76LHpXY1hdjDFNXVjPMlGXcWE8S7dLNF+sroBsPWq+GNeJkbRVTDr76q75cWCP6c4WEgUclc5OxOowXcBXwxrRzqQ4ughn/mffvHU3Cio9f5pbAAAgAElEQVQc7NPwABTNGxAbRRQCVIkNT9WK14PXlBZRbHg4VCN1iseFozkV1Qi05gsqnT1PwwN0Bp94z9LXZexwtZa2x663cY0kItXIinFYE5G3MRTxWDW/lIhq5GreXOk5HqsDxNZVSmcLmc6O6TRPoKd+Fs2bMeZLY8zX7969k3/zxbpJsCnFlHWaTizGpnyqSxBFpSSqEWBrX04vvqJqbO+yq5FFNRKbN+BRpljX8IgwPY1qjKcTUw3apjXVTFPMuPli9FmqohE7k57lA3OPDeiRgIk9RjpYs8xwXfNDuspWxjIa3UTU7QKkd9hq24yDe6KrTNPw3LbPQtHujjiadQ0PeHQ2s6ke0LvKGuQwPfWzaN6std9Ya7+6u7tz/rNJHEEaLj/fAlnYLD/qjMMQ5ywJ4QHiuZvEqRcAFeEpKosjA0UcsNnr0CoiwsOMcCk+AvXp6+nrwthjRM2bD9VIOliBdnxRRHd2qgBVgExnD9RFzKpcIsIDjNZFF3fEYXU4WYIjmXWlNl6DQ2fHzniMDXI8i+YtZKWBg1M1PES0aqBJ6Mf9iI4zwmEURVR6elnsVdoqUsPDzEga2GMipQXwUERqhMvAs0gNT081MvYYcXD4BAUsa6tIdHZEI8lDUSHPDNb5GFrFbESZdPYwBZwC4ckzg6t1FtfgIwWNswwLzCzB1abRIw7Ji6SzhaGnZmYJjmnDNU11KEod9KefwbrtLdCEQmZ5U5ABm32Khic2HHysalibRkweJ8LlrHkrhHwkgPYstzF0lfuBZ0nUVB/KGiVlXuNAXUopZZ2TwQWwadPXzb9xVfQ/JdaF2PDcxqaAC2FKDLERpdPZA1EhKRAeoGkUqHrXgaiQFIaFayYFDIxeEFLoqal09gTyFpsJ+eybt9P8ubk3JY9qpKBVm6ebci+NLwGoVCMQj85OFToKxA+4PD1L3EgKgDxHc6AuezHGgXmwkg0LwHBdRoXxbKoxLvKWsuGJORrvkCiSAmCPxhtGEVPEUFFH4wGDeZUqeRGJPQBI52S+bkZcnWnDy6pGUdnoZ/5n37xtVhk2eRaNcrDWJnNoUmcc5qsnKKKOnvvEqMZJtymPagTYLuCzukgUcF0B1YG7xyKNyZFdjbyDlTsab/hZ1rnBKk/ViBJ1YuUeKI/9T+2l8WvMukQejaenTRmuefZovIGGR0LeCHpqIP5oPHGYOy0iiHiZBp7oKsWpF8ALbcpa1/TU+FMhD6pCshoeIioCPPmAJW14qO6mcW1VmtiTuChiUjH5hkk5eBhJmA1P5LFS4rxZciNKpYCBRzOaU+nEgBhUo4e2ClgmBTxTwwOw99hTkEM1lYDwud+ucqxzE22P9WdL5GkkL80bIsD05y89iQYCaB+w7Yo4rxF4orEQBzoDfBSRUZcsBza3j3ViUowDQI2kANjupoG6RA4dBWLpKk+Ug7jHyAcrEC+g+1CmcQICTZQDdV4j8KQuKSIpgNZIwqSzqwNQHvqfeihqbDVU4+oq+K+/YU/xGIikkF2N4TUBIsQEHc6jm2wT3ZTgnATYw+lfXWiQBbkE8EKbshb3ZTGCViW4UXTzGmNpX3oNT+QbBUAOuASeNqKSq7EqgLpcXiO6uQVgZqUagXg2+4eiwkY17mepdPbjG3jslPVudaPxuktJ0BqpSyrkjTsa72ldDloDWeBMY6CjGskIz9nUGd2UGFLDQ6WzL97Hqss0BxgAWplBpHNSPwf4hTYNXvw5mgM6sQS5VUAb1hkJDhYbHoD2AevmNcaC6VM2PJ35guNozsafRaQaeXR2rBFsclAnseFhZgmO6PfSUY1x6/JQ1PKlDSBGuDBH4+HJO1mM12AiPEwZS130KKKOamQ2PPFG4/VnSwJgAGAHp/sANi/IG2XxbfYD6fcJqEYgQpq/C9VIHPdDn9f4pC6Cc5YcfQCwHc1Po0LkcT9LQxFvcIkipppGAkSKcLmoi0hpAdxcxEjxB4eikmkgkwdncAHNs8QcjZcqkgJo6GzqZRron+VQNtFN05NVmA1PhHFybYOeMqsSaJBqymUaeNq8JQI5Xpo3IA7V2G5KPYRK+oAx4w+u7i42pWC+KA8ALBemp37AHJyzxIOVOq8RGNRYXK2zNBlcTDrbmMG6JHMCxgjo3j9+llSaNy6dPYJWRR730y0unT2Uixg/g6tb1GkRF3U5JMyqBCJow+uy/wyIl2mATptyL9Nn+tD20hG7qX5p3tCJSsmbsg0TFRseIAJMPzfVSITpoyFvnX4vfgZXlrVaxEh5T7K2itnwEB2awBP6RG54+HQ2pRFdXzfI08UeExseoMmJClzU0XhDVKOGzqa9w+LlIta1NrqJd5mmjca7QHd1khyeYYGueQP6uqSMoQIiGEnOUcREeuqX5g0R4GCg35RijENdN40ekTblwcEtPXeBIqZoeIAICfgXB2tmgE2CDC4gwgXhsklI1vAQqUZg0NGsaniWRjUa41eXfNNkKgaua2ZdRuJokjU8UejsE9UIJGx4Io4sTE01ciNc2jnk3bMkjG4CIuQi2rp/z4psG+l9/NK8gT2vcfgDNqp9KdkND3leI2wffZIykgKIMK9x/xhJuJoc98NreIAIaf4HH3ouvC5R5jVeUsCT+lB+I8rNRXSsC2l/3fa6SsbsyatmhuT+Ur+XpuGh6iovqMZUMQ7duo0RE7S/eBbRfMGry7GsUVBH4zV040lPPfIsRD01wKazhwEbeUrMS/MWvK438eY1imOY6A3PijvUGXhyO0rh0ATI5our18Dx2wbpRFptFRCXztZncBG1LxFdwDqqMTyDK/ZovIdjuoaHOhrvAkUsqxrHKl0YbJzReC5UI6/h4Y7GG6YaU2RVAmw6+6LhkdymZD11Y1Ikn5P7iz0WWV70LJo3Y8yXxpiv3717J//mgdXHH8TYlIkg1G5R4eCBl8UqM1iLVCPvZUGns1sUMaW2Cmj2GI1yuDSSqKlGnpEkFp2t0latdk1kSuDqRuN9oOr3XITxfKoxRl36cT/iZJUFUo3rq4aanqnhocoMLqhGfXTTAveYKwVM1lNfb/Joo/H0gM0L8gZr7TfW2q/u7u68/jwXph+DUONHUgDNs8TalCrqBOAmesey2SeMpAA6FJHYiB4/NDNLkTaSAuiMJLECLmtsE2VwARHS/J8goqkoLfK8xvPmLXHDc6Ia+XXRPQu/4aHsse1t82NHAUvRTRH01ECsc1Ib3cR7hwHsZ+no7LoBr0ejm9pn2dwE/bXPonkLXdTZk5vuA9ZRje2mTJDBBZxe4l33H7QuxuSkjD4A2AGXT+kT3XzDBQZcXiKiGrepyRoEgrDoWYLOaBWnJkCEgO6WOimqGmVtk7nnNnm80Xh6MTkP2QWIjuazuogGMoCMIhLp7NW2GTLf10UwX3R66g1P5A+Qg6D388iLYo7G63S7sfXUL80b4o7JeSiq5sWajGqMB203TsCECM82x8djyUlaH3A3pUq/ByJRwGd1Ubm0CBlcAPtZXjf7pmr2q2o4NekwAuIhb6m1VXFG47k0PPfBSEK34ozGe3yZTuU2paJVwPAeS6inBuKMxhP3WAQZCxAn1PrhmEbG8tK8Ie7g8H1RCTQQn2oE4m1KcSg9QKUcrCWjiGfIWyqHJsCOCnl6QUhFaQFkOru7IBy/hbU2aSQFEKEuF3okOaiT14jeMkfjneXv6XRivLrwR+PdPX2WsfdYVTQjqMhMCC2+aaAuo+cLueE5nS2EZ8nXjXb1DN3NDLDO4weNA+cgB3803oM4jeTFsEBbvV6EYrPfAtm6h4Pvj2UPnQ+uggttx3EEtc9SVLpnWbNu4DFcZ1rkjZfBBZDnNV48y/1RURcy1RgjrPNQ1qhtOlQEiBATVD4AVdH/+1wnbETp8Qdn+wtAsj0WZzTe6X0MpJkDDJxpqyI4mh/aZ+kakScrglEJiIMiNu+wlYJqJFPAlDF/L8jbbIsKBxvzyA3YbcrRFYnLpxxITzZlqdSJcW9HMcYX3ReKppp5sG6Y8xofZ1fJLwtyw9PS2ZR1Vhd9k8CsS5zU+NQNDxAhS3D/WPM2usfIGVwAezTeU/3eaF3IDQ9/NN7rM2Ag/cQbgE1nd0yIdLbwWR2AdLbkq+bfuNWGN4DN1Jn/grzRFhUOBprmbf8WgBLhASi5VQBZIJuvGhTNtRElPcuJcohgTT9W2EkfMMLYom6dUETms7zvM7iu10Jd1pyaAF2WIJ8Cvu+RBOElzqwLk2o8Q6ofCgHhAdqGZ6l1eQVUB6A8yI1odWwS5kmfe6BN858DRSRfQLvReDFyER+OFbarDHkmUI2ss4WpEwMGkLe00U0Akc6+eJbJz/2Rc+a/NG+IMa/x7qwLFzbl8WPzI0nsS29EL26t05vyQ3ObIGRwAWRH0IULWFUXUk2AWO6mb3FfKBCe48fT8xPW7ZY5r/HUvJ0QnolG9PiBXBci8nZ13oh2dZl6Fv4e4yE8ncHnw6mpHrsg9O8w3h672a54VOOATmz0PUZ+HwNsd/brMwpYe7Zw6nLDZKiAR3W5l0AOcl2u6XT24z2makRfokLCV6dL4SJvbfMmRVKwN2UMd9MZTD+p4SEfRlTnbJY3L7HDe1hr5Q9YpOaNPSZHpLQAesMThc4+nNGmCfdYlAgXDQVcFQ2yRW142KPxABzeKRqeJviau8fIo/GqI1DscX8skWdmfKZxjOYt0mg8kQkh14U/Gu/1I2o+JchxEyVLUNtUf2iDxid+j2K9NG8AVnmG7Srj3Sh2b07ZaJJh4fihye7J15S/uqPn6MPpoTBf0BseclPdNqL7ooaVhPFktOqaSZuub5rctoNSJxapLtTB4ft3szxLrNF4YlMdoUmg06aArhGNhFbxqfn3/QV0VBjfNzzMzz65Lvv3gLWyTixKI0qWGTw6WwSUGqCZ4ajvY+CJRnQ3JWMhvcNemrd2ceMPLmnTdNQJHQ4+b0QLQSdGbnj4MP0bYP/2jAZKh1ZR6ewsa2+t73Q6sSVTwLs3zY/7d7JOrK7aPDEuWgWQbuBXp2eZo+G53RIRnt3TZxmltWLRpjQ6+2yPidKPGHUhOmd3bwBbAcePyWlTgE1nv3l0TorsQb4BVpyg8XWeYRMJsEkFcrw0b+26pmpf7oCHM8NCQoSnm9dIg4PbZymqGkVlZRQxRpNAbqrn0CNRqUagr4tOJxapqWbUZdXOnty/letC0oqcL6rrrGsSHs4vCOl0Ytcb4mi8q1bztn+Lh2PZZK+NCeMj0KbUGc3dszy8Ta5BBiKcLUD/eZnWiS2czr66a5C3ukouYwGapprmaD4zKer01OGf+5fmrV1U7cvVXaNnKfYKnRi34QG6lwX3djQPpUW22e8a5E2Vfs9ueNgU8E5ZF2sjaN6IWYLG6PdYFKqRWJf+YH2noE0jNDzM0XgXKKKK0iJfdmgNzwWKKBpiAPplh3e2PEYRxfexyZvsUdKimi92l3ss3fsY6BpR7jnZxUGl0CC/NG/toiatty/x+uGt7kax5W5Kqi6ha3gOiugD8gdsuyLPa7x6AzxoG9E4KCKfAtaMyLFRnoW6xx6hiOnoOepEknzVZCPu3+K+qLDKDDZjSeuRdGIA6Vl2JxRRjDuKUhfiaLy+4XmLBynfMUpdItDZLborswe3tLF4QBetw6az3yp0YnyQg9pU794A5R4PD83+eaFNEy7qvMZ2Ux4+/BKAhtIib0pmwOXVG6Au8fCxEWOmvB3R5zXuHmveJkNHI7gaAbKj+eFtrxOT0Squ7gVgR+u8VSBvMWggdlN9orPnEJMDrIDu2wa12Wuoxgh1YY7G62nTXylpU0PNErxmTot4RGcrdGL0hifnylgA2Id3yc1wADsmqHmW/bfpzvyX5q1dNxsiHHzRvKWHg/kvi8OHXwFA+tsR20hyeI+H/RHAhLaqOgJ1SX2Wq3UGY4gNzxPadExbFUePBDAb0TctDdT824zOnYyEigCk0XjAWV0ULnMgiqOZR2e3GlENewAsd4/tLgwLmigaUlYlQB6Nd05nF1X/7zS4IjQ8Mejs4uMv5bF4UZo3Pp19aJs3WSr1onkDABhjvjTGfP3u3Tvvr3HNhLbbhqfoGp7Ut6MtUezbfsDKe20jyn5ZkHUJAIr7t/3XHlwR0KpuXiNvcPib/vYNJI6kYNJzQE+bdgLscWF8+yxdjAVh8ZG3N2dolUYnxkdE+XR2+kgKasbjatsgaVoUMcJlmjYa7xFtqnD/syU525z7DgNwVIMcvM999/ex6exC8yyHD5S6PIvmzVr7jbX2q7u7O++vQbVzd83bR6FJAOLcKJi3o/YDVn5sGtGUoaNAF+HC/YBVHzsUceRZ2qTsGC8+qrup3OOwbxyYMtVIRHjY8xo72lRCeLq6LDXCBXhMmyZ2Asaksycb0cO37WSVsNDR88XXiN4pGx7+ZZqqq2wz6+qHX+FY1nKTQH4fUw0LTufkt3GQNzYw0D5LChTxWTRvjHW9IduGAVT3QsMDtB+wJW/K7lmETRnhMAI6mJ5vJGm+djq0CmgFsmSnVn3/DuvcYD2aGM9v3rp5jey8p4fDDAgPezTeGZ39SVONwBmdrYk74rMHAIkCBvq6yKHpcdgDgPQsWQ5s71CqGp44mjfaaLzuMn0/kzY8AshR92f+mCSHB3K8NG/tutnkOFY1Z1P2TUJD447qxOoKKB/iWKDJaJWVNmWshmeb091Ntm/e0mVwAR01z44M+FXSmYDdouoqd28AW6M+vE8eOtqhiGw6Wx6Lx52sAsSls1OOLANOn01mXawG3Y2gQabT2Vd3PTCQuqmm0tnrayBboe5kLKn3GPV93J35AmBDfB+/NG/totrs11fA6uqsSUiL8NxuydoqoA8gTI5WMUWlZ8JlYxoTweCKhCI21nRuI2r275JncAFNlAOvqW5efGb/XpnBxXuWVZ7hap1xX+LHDzgcDulDR+kNz53SfMFveKhUIwBc3cE+vFOMxYvDhADMpvpOPluAaMG2AGmPtRmP4rNEmKwCNJ+XQ1mjYIzGOztbgDQa5JfmrV23VxFefIemkHM0b8eSiyKadm6bSJsSxeRAhLFlALLDO+wm5xvGqcurK3L+HppnSY1WAc3nhY0i5od38u07WzUTGYjrdrvmNaJtXfLje10GF3HRg6A7U0xR9qje4IqhE7vio4hdk3CTmJ6jNjxAXxdAcv9HaKqvyFrEs7FSo2dLhMkqAHmP5WtgfQOjBjleaFPaehUB2s4O2i6c3PAwN2WWA9vX/bOMHq6xGtGrFb6N0STM0fBQEdGmEV0d38tIAhAH3d2zn0VRl80NNXQUIDfV7bOsNXUh12SVZ9itc3w4FJwveHUHVEfk1SE5pdU1PN8S91h3sKYMGgea/QVwzxazF4CBCJNVgLNGlFiXbK+VscRBRJl7LOvqMjoWj/c+fmne2hUDecsPXbBtugwuIM5Nb1W8wybPsBoVxkdCq1oU8VAS0ITNDZCtsCpmanioTULTiK4KTSNqgDUvdBRo0CpaU92iVevy2+QHK9A1oqyGp32W4n3yhgfoEvC5dXmN+/SGhQ1fi2gO72EgODQj0qa0hmf35nSZHkWr+JNVgLOGh1iX7CgEwEe6TL9iO5p3b5AfJYbqhTalL/6N4g1WRRNtMAdtCnBvFDKSEOcDdtKL8IJH18f34zcjIOpNj41WbYpvdUPpyWjVbQTzxbaQDAv8gxWIM77oqvo2uR4J6FBErq7yznxMTgF3KCKTNjWweIUHAa36NGhTfZMQB0Vk1mV9lBiqeJdpgHvmr4t3ycbivTRv7eJ/wO6wKd7DmGZG5+CKqEcCuDeKTSkdRnFRRGajcFUqG9H1NefvbNer7QrHioQirjbA+hpXpYTwxGl4uChi04g2DU9aPRJARhHbZ7nDR11TTV5cFLF7lg+zNNUx9thr83FcJxZhsgoQiQmpHrDGxGzT2KwOExgotMhbJJCDeuZL7AEvuumleWtXDNp0U36L60lh/KfzAdtqKC0gisgfIKKIuzfYVorDiBw6CsQIhG2fZZse4bndrnn7a/v6/2/vzYIkSc70sM8jIu+r7qrunj6m5+i5Acz2AAMKK2DBwUJcAuTuElheEvVAaZYySSYajUZyZdKazCiIhn3Rgygz7VB6kpGSafdBy5GJIjEESAMGXO4MZmcW15w9Pd0z3VXdVVmVlXdkRLgePCIzKysjMw73TPeif2ZtdWVlx1+/H59//+EACPJz/SKG8DC1im/YtEo6wwKCqRBFeESETcniw6YAO+zwix74KiI6Cw/PmX5fRJ5hUwCoor14wsN9n2TCAEAjXIsnKBeRo1/mixxaeeMOEYQn7zSX0oNrSHg4LuKFKGEgAMjwJqKsDxbPxSKSLUKUBN8WjotFaYnhOW4qomGA5muo0CUpPDzD2YWAJLSj3aHJGeW8CMIzgyQIulkF4Ky8DYnoLMIj5jANiGnfVCPthV6LB4wqdXkepk3qYj3jzLgWT5TIIWpvWUxKjiZvPoaDkmfBAlysZ2ec6AVdwzQclBwX8aLXnJ0n1j9m9weaM16TAKOTHr9QUMlrzQ5p9ZvCQloA0ORpC23Nv7qIc/sWgP9hh+Zq/ma0BL/4JIHLxeFWHp6RnZ8n1m9yn/cAU6tEkIRQwjO8skxUCFhEOHux1+IBvKvmR7aEpkwM/cJ37psGQSnL835TZst2phv+GlH7JPectxoKXhulWVsgx/miyZsPwyB8F4viGgBgO9MJf41fjRrcV8cL/AnPCvK0j3JmRt+43jGQ52sHIKD4orDCCM8sVaQvxhbeMj3N11CmcxSe3jH38QXwz+NxczVUZ4W0AGF+KecsDFxOF4cTAjdXnR3ScmzA6QG55Hcxh0FInhg64XliwRomyC+8iWh1FqnuiVmPAZ9Uc1Z318xuePW/X40qxC95nqSa2bKR6YW/RpBfWEoT3wgVAGxk+uGv6R+zlBwON6to8jYGtlhwIjzFdQDAptkOf03vmDFwzrlVwaDkvVhsmLNOR2JIAv8eSSuooI1C2O0KgFKEZ6YqArBFXNACDvAj1YNsdbYtlArzC+8xNsjUWGJ8qMIjmPD0OKmIpoWBVZrtF4GEh2sIuBAhBDz0i+yk2l+PrRnrsUi/CMir3LSiiBx8VUTDIChn+RPR9Vm29BrcfKLJ2xj45lgw5W3TbIW/ps/PkeMIBiVvmX7VnDUoxSpvXKub4KJm2eGv6R8LW8ABniRhjsIDiCM8nInoIFOZnSfm9ABvoMQYC2wJJzy+KiKI8DgeJxURgG1V5oRNxRFRriHgbBkeTKyQdnj1v2jCwzkEvBGF8Ag5uPGvzl6bJQz0jln4l7PIAQR7Pt/q7HVjjl84+eRMkDdCyNcJIS81Go1U71PmWd3kK29rZAZ5E0R4AM7Sth8CXjNmEVExJKGY9VVETouFk/dtmecXgYSH1xizsyuoki6KVojKQinLsRCovPEaY/3MKlbIjGRfwRsrwG+MdTMrWCUzii8EEx6A3xjrZlawghmV5oKVN265iISgY1WxYbbDq/9FhhpzGX5E1F+P1405UR1iiKnO5tmOxt8nN2bZIihdAuCsIgZ7/jy/aOVtBErpy5TSF2u1dGoJ12tyihFIgiDCAwgalGiGv0YQESWEcCXV/UwQPplhi6jcKs7KWy+zCmCGLXYboK46hActFDJhG6vYkBbAkfBYK1glM5onCyY8AD+/dMwa1maRapF+yWXgehS9AR8VsW3WsDHrACoy5y1vocmL8JgZdEgJG8acNSxX4d6cGxC0t5BZe4uYCBXAOTTv27I6yxatvIkBX2l7BR4IVnAc/hrRyhunCeb5alWNzrBFIBHlGT7pZhl5W6EhKq3n+ZWA/G0pZEwYHHMRO5afUO6F2CI0dMK3Ortj1WARD2UasrkKTSbn2zKgbVaxjmMUw8JzQnPe+FaaN80a1kkTZlgbhwUQUV7V2YEtoegfA4bF/So5YER4uKiIAI6N6vzDtICCGIBzVCdTRB9ZrM7aJ5VR3tg+uRq2twBaeRMFro40LRzTEqp03ulI3KDkGToBgKo3j4jKv1gEhKcSRnhs1jBSpIrIjyT4trghtiyC8HDyS8tgtpTDbBFcPQfwq85umjXkyQAFElJ1toAQMDfCY9RmqyIC/VLhnIvYINXZJCHYWEWoVXkLHgW6Az4Nuo9IbbYwIJjwcMt5IwSHqM4WBgSlsQB8BRuar8GhBqrzRA6tvPEHT5JAKcUhyuEkARCqvPEMAXeQR5dmw21xHWDQViIE3DIZES27IRNM4MYKAJV8hhupbvq2FJ15yht/Up3PGDANwo3wHPvkrRBmyyJy3jj55ZgwW3L24fQXCPQL73Y0DVRRQYc1452G3jFg5gArx+X/Gwfv0PwRqqjNO0wLJDwAP78coTKbJAgkPBWeuYgADlGZLQwoorz1HLA9P2xvAbTyJgqVnIWWzWdQ2q6HOq2g7C5PeeO1UHRtF3VUUApVRcSFgQC+1U0tlOBQA0XnaPoLRNvCsR3NscGesRBmi0DCM1QRuRGeObaITPLnHAI+8m0h3fr0Fwz9IrB5MidbDon/jJ0QW0RurJyJ6CEqqNBjlhoxDYIJD8BvjB3QymySIKhFEMDGGKVAx+ajIh54ZZTniRwCc964iRy2g0M6Y590B4DT5XZo0+RtDOU8v0HZtV0c0jKKbshmFDTqFDbBMtwuc+8M2KAsDuYoCQJz3vjZ4uEQZeTDbBGsvJXzFre7TRtglWT5UIVHXEgLCIgoH1vqYCQh159HePjbkrMMWAbhNsbq1K/wax9MfwHHRp2TCAgPL1sOPN+Wzv70FwgOaQH8iOiBV4EJD+jNOCCISv3I8fdL2T1iFeXTIJjwAHxssR0PB7SCUtihDRB6QKhwzEXs2C4OUQkXBjivYZq8jYHnXWetPiM8+cEctUpkUqntwPPSD8p230GdVpAfzBmUIkkCp9N3u+8yv9jzFB5xiziv03dzYMRJUYYAACAASURBVOCYFpGb5xeh4RM+KmKdMvJmhKlVghp1Ar6KyDFlYt8L1KoQ8iayei7HV+G5P88WkRsr58rZe0MiOuOAIJqIchpje04ZGWoDg5CeYgsIAfMYYx2b7S2hivugB7i2UCLKS7Bp2w4OaBWFsPWY82Fak7cx8GwZ0O4zFh5OeIJGnfw3I4CdKCgFOhwSZFu+Ldl5hEcBabvdd3xblqe88eqRFJDqTG8O4VEgX+RwYKGH7AzCI65RJ8CXVN93/Eunl0B4cpaBjEm4kYR782xRSHnbGyzPLzyrsx3XGyOiU2wReBsJwDevsuWvYTmnNT2vUvhhmp9g0/YFm9BcV628iQPPrvGB8ma6PcCecjoSnifGb4INSUJ/zqAUTBJ4qIitPjsdWb3lhBp5tj1p9x0ckmq4WiWwUSfAt8CnbbtokOpScqsAvuruvUEeLoylEB7eFc27MhAeTn65OyiyT5bgF57V2UH0AMB0WwYd1t9RCcLDhAEA0+d+TzB54zjGWn2WG56xj6bnVXImopq8jYEn4enYDg79nCRM21wD5U1wjgWPsFZA3kz7mOXqTULgdT/A6KTXtjn5hVZgdGeEtAChfuFHeBw0STU8HykoiBHQ+gDgq1a1+y6aRg1oh+VWNYT5BOBbnd0eULSMGX4RbAtPUn0nIDxh+XsCbclZJrKmwcUvrkdxdzAjf8/zxOa8cQwBt/1QI/tiil964nNdAU4RKj/UCGC6X0TvLRwFm46/TxLqTs+r5OwXTd7GwJvwzDwdBacM/w5U3uAbAnZGp6NpRDT4XlGQLVwVUabwkG59+umoUwesgpBGnYBfsGC7cLnkIrpombVwtapTF+YTwCc83HIRHbTNargq0j0UNlcAviHgdt9h/QRDbRHrl3KOX3X2sQ10zUp4eK5TF+sXTmOsbTvDopiptvSOAFBhfinlWLifV3hupi2C9xaeuYgn9pZptojeWwSEgAFMX5M5+0WTtzHwPFG0+u6YIxc/KHmeKNr2HFs6dRaeE1h8AfALAbetGkBDqs66h4I3Vn4qYmucJEyrluocCN1YS1mOhMd20LFWwglP5wAornL5v6ahxFERbfUd1tg6lFSLJqImF1s8j6Jju+hlQvwy6ABuX+h8KeVMbiShhxwcI78UwhOoiHz2Fmepe0tpWHzBL6oDYDkiB2/BZoFEVJO3MfBUeNp9B/vwyUzr3ukXdPycK0GDssSxuqnVd9Dwm6hODWt160BhFTDEDKcSx+ompoqw5rahi4VghQfgR0S7mVXWcsaechmyaIUnb6HDSUVs9R30sqszyJtYv1TyPEPADvrZtelzxXVYXqXgAwKv8BwA2NkQ8iZ4YwV8FZHTXAEAO7c6nVQLJjxAUHjFgyS4aKIISsyl+IWnitial7+3oKgOnxBwBJHDzLE2QRygydsYeBKetu3gHvVJQnP39Au6dZZIbmVT/1/TwLWcu++w0zcwPS9B9MbK2S921ldwwoioQIWHb+6Li35gy1S/iA81ArzyRVwMsqss78iZuFaK0gWEGvkob55H0Rm4bIxN80lX7KENYE2tufjEb58wyK+HzxVAbGieU1ProLeik18D2vdPv2AhRJRfCJjCCLdFsF9ylomsZXBrFTLMDZ82xjp1AERYLiLvEHCDBCJHiF+Ka9xykJdO3ggh3yCEfGfOz18ghLwo+lmyloGcxSdBtt130DMKoJliiPImXkkAeClvLjrZDfZFc+/0Cxag8LDn4FPd1Mn5trSmkOoFKW+81IRefnl+4b3w9Qqb7IvWhC39JuA5whWe7sCF44Z034+I7sAFpcCgsMlO35MFPotQeDjdaxz41SlunvYJsBjCw6mQJFDe3OLWdFuGfhF4cOOliPrv4ZW2wvcWQPiBmldUx4EFWtwI90thRViLIK6CTd9BJ+v/zcOibRx9snTyRin9/bCfEUK+4b/mFf/rF0Q/D6/wSbvvopS1QMrb00mCYIWnxDkE7OZWADMbQngWpPBwWix6+S32xRkgPHZhm30x6RfHBuyWcMIDpPcLpRRt24FT9G2Z9MuCQlrASKFJimBjdUq+Le2JRXy4sYqb+7yaJw9JQnGbKQmTfbgWRER5zXsAoOXt6ZGQBRFRniFgVHaA5t3TL+gestBcJp/6/woDT1JtEACVGX4R6JOMyU+wafVd5HIF9rxT/cJ3b1k6eZuD5wDc8D+/AeDZyRcQQl4khLxOCHn9/v0pUmVMcJO2+w4jHZWd6SRhAYMyn+GkItoOSvkMUN4JDwELDZ0wksBLpkdhDTAypyeY5y2gqpFnvyeHKQnAab8sQknI80n27Q08eBRwA8Iz6ZcFKQkA0ExpS9sPNdLyDvtGqF/EEp7ewMMgpYoYEFlaOQeAnlYTFFLeghAwqZ5jdrgT79mtA8QU246GWy4is8WsnlsK4QF47pMuSjkLpHJuIYRnGngJNh3bYaJJZZZf+K3HspO3lYmv1ydfQCl9iVJ6nVJ6fXNzM/V/yO1EYTso5iwgTHnrHAgflDyTfUvZgIiG2CJQSRgmyHJaLIq5DLNlUqbvHbEq1IWEgNORBKZWuUBpHTCs035ZUA4PkD4EPJxvAeGZ9MsClbe0c/+EKgIs1S9p754Mft+onWPfmFzHhvl7AlVEziFgs3YeAD2dkxRsrIJ6IgL81Sqzdo4pu96EWiw4qgPw6/G4bJED4KvulgJbQqNt/GyxuL1TCPzQ5+QT3whCoXNwNOV3hYKfI9mJAuVt4IPvnn5BV/yg5NV4tN13sVnJAdkd4P47J39od1i1o8CN1TINFDIml1BQq++gnDOnhxwWkUzOifD0HQ+uR1HKZ6crootIJudMeMzKJlM/Tilvi/NL2rkf/C2s2nn2jVNjbLFEdKWYvCAqqDa1AvI2jYhmK8KKrgDml77DVMSMmVxrCMZYdiWw5S5QPTd6wQIUnnLO4nKZe8s/TJPKDjtstu+PDgvAQghPJW/hbqOX+n3atoNi1mRrWGuPEdHx/LbuIbD9ZOr/ZxbKeT5+afcdJjRUdoD7b5/8IaXcozrCydusnLYIeA0j9e0qgNDCBl4o5zK4c9RN/T7tIUnYZhV0dgfI+iXCjs26LZc2Uv8/s8B1schZQPkccONfn/xhUFFXFGxL3kIrZT4SpdSfYP7paP+9ky8Iqp0E+mWkiqSzJSAJo1PrBEloi/cLL4UnsKWUz05XdzsL8AtnIpqtbvlEdMKW9j5rFyDoyjKAX4/H4PfzqxfYN06R6n2m/ArEKBcxJRHtOyAEyA1tmfTLwULWMF6RkGLOZOE5gPnlBHnbB85/JvX/Mwu8ii9afXe0hlGXzY+Knz5BKfu6KHiMcVMRXWyUc6OojueN2mf1jljRFcc1bOlhU78I4XpQnOB/7zvAkPhd9V+zElGtSwV+apUfahyGgsYWiyCJubyd+v+ZBV4qYscOpO1t1qNq/K7WQOoeXzwEgEe+iO16cDzqE9EpJCHwkUC/mAZBMZteRez45G8Yzp4MNbbE+4XXLR5BPlI5UKon/dLcZcUygsNzAAfy5ttSKuSA8tbp8Elzl80jweE5IL2KGIyxwuoOa8I9GdZq7o4IhCDwUqrbtl9AVgkJAU8SIAGo+Cqi7aTMRbTd0QEUOOkXShfjF043X3T6Y3liwEm/9BqA013AGMtwa+FSDmzxnJO93oI1jeMYWzp5o5S+QildHVfoKKVfGfv8d/zX/M4inqecs3DMo3P0MHlxSgXdkPCIn2BcbOm7KGZDJliL/6CchnLewnE3ZTL5kPD40nbvCBiMqayL8kvOwnGXk1oVFgJu3mVFGYJvWACA47Qbq29LMWtOT/Zt7jKyvQDCk9Yv7VN+mXJAWBDhSTv3gzFWzGWB0taUMbYr/AAahObT2tLu++G50iYAMsUve+LXsCERTW9LOTcmDIz7pd9kN18IFwYyOO4NQKfd7BIDrb7j7y1TckQXcAAF2Bjjs0/6imh5SuFVYFf5DJE32VAtMGk77aBkVTQmUPVl+uNPRj8MnFoRO8Gq+fQFC7bjwXa9UZ4YcHKCCRiU08BsSb/oATh50jthy12W/C9Ypq8WMhyqGsdt2WH5FIOxHJTmHltEBN16ATAVkSWU8yEJoSHg1u5C5grAZ2MFEF51FvhFIKqFwJb0RLSYNWEYJISIiic8I7+kP+yUcxZgWkwRPUF4WqytjmJ+QXkLp4jogghPtWBh4FL0U6uIzsTeMo3wiJ77vMLZbvjeIsAvmrxNoJrPwPXv9EuDYW7VyiX2jcObox+2FkR4CunVqs44Sag+wL55dHv0guYuC6kIzt+rFqz0Co89RhJqPqlufDx6QWuPKQwCCQ/AFgt+Cs+YX8YPCAsgPADbkNLacmKM1S6w5PHx674WQHiKWROmQTgoPGPh7OoFoHH75AtauwsjPKmV6iA8BwC1B07OFbvNcnkXRHjSr2NjtlQvnJ73wOL8wmGMMSLqV82P27IwwsPJL+OFfcRcjl8KTBjwUlzzNxQ5suN7y8Q+CXD1iyZvE6gV0k8wx/XQdzy2gGdLTKofJ2/NPQDEl/DFoVbIoNl3Ut09OQzPZQMiSk4T0dKWsA7YAWqFDIewaRAGsoDVK+ybhx+OXtBcIOHhSRICW+rjtuwJPxwAfEIOrWm2nJgv4vORCCF8SLXtIJ8xYBqE2dJrjNqDDLrsa+GEh184u5T15/XqFeaTICIhIIdnGkaEJ73yVhy35cRc8dWehRHR9GNsSERXr5xew4CFEB6AT2h+SERrDyzHL/kMPDo63CfBiQNoeYcVJU36JVsGcvwKlTR5mwCPCTbcWIMJtnIZOPpo9ILWLpO8TbHFvsHClyYZ84QtmTxQPX+aiApeKABmCy+SUM6ZTK0yrAkiuic8HwngS0RLORNYe5B983Bi4VuAX7jbshrYcpN9HPRYbuKibOG1GQFjfrnJPg43VrFjLGeZyGcMLn45QRKc7kgNWZAqUuOkvLUn/dK4PWrUuyC/8BAGgEm/PDg9qrMgvzRS7JOByFHMjvllcm/JlIBcJcWTzgePw86JHGTDGB12hi/gr7hr8jYBHtJ2axieGz+1jpG3o9ujXDiB4HE6OjEogdMnvcZtdmISjGohg97AQ99JHs4+EWo0LaB2cXTSo3RxfslnuCgJwFiFplUYLRb9Fgs91hYzxngoPDnLgGUap1XEIIxSXcwY4054gNF8CcIoi/ALl8POBEkARn4JUicE+6XMsWDhhF88Bzj2x9aC/DIkCSnHWGtSET2+M8p3PbrNeu/lqqn+j3mocvDLSBgI21tuMZ8ILFQC+BwQTgk2q1eA+s3RCwTsLZq8TYDHBOuMkwQAWL3MNqHgpHf44ehULhDBBGuksWU8Tww4edLzPPZ5sEkJRJVDW4r2eAgYOHnS6x6yNiiL8Iufi5imKCbwSzFrscVt/KQXfFxdxBjjQHjsMVWkuMauKBra4i/mC5kvPIioOxpfkyHggPgswi9cchHdsXl/hX084RfC1jaBCIpi0oca3Smk+ib7WP+Q9XgTrfBwEAZcj6I38CZsocDRLfb14YfA2hXhhIdHLmL71N5yhbXX6B2zr+s3F7aGAXxsORnOvjlKMxCw52vyNgEuytskSVi9whoQHn3ELnc+ur2wBRxIezoaIwkAs6V5l/V6a+2y2xUWQnh4nI6mTLD6DTbBFrmx5jNwPIruILmK2Oq7yJoGspY/hQNbgMUSnkL6nDd2ZdlYzuS4LcHHhcwXHu1onJGSkC2xfNBxW4zMYpRqDrmI7fE8sZVLrDBp3JbqBcDKpXzS+eCTIzquVgUq4pgtC5grw6KYNCk5k4RnbYotiyQ8HA7TxUl19/BDf01ejF9G+yRnYcBusibDvQYjpZz9osnbBITkvAXXe+z9hJ2QqLswJQFIZ8soT8y3Zesx9vHezxe7sfJYLOwJmX7zcZZP1bw7smWhRDTdYlEaJzxbj7EbI5z+wv3S6jupKrWC636G2HwcuPcz9nn9Q5b3Ut5K+aTzwSPUeCKZHGB+2fNtOfyQkSDBxT0AnxDwifw9KwusPXTSLwuYK4BfFJPCFs/vHnCi2jRbGfPLzYXMlWFRDM/D9Maj7OO9n7KrpY5uLcQvw/57KfwySv3w58PW4+zj3s/YlV+DtjrK22R60WawT/50JAxo5U0sKhxCjSMJNRiUT7Iy6Lt/MrrzLJh0AsElBDxpy84z7OPdNxmBAxZqSyq/9B1kTIKc5dtyLrDlLeD+z1kBwwIXi7Rj7ARJ2HkG8AbMJ/feZopPYSX8DTihWsiwpu4pT63lcVvOPcMIdese88vGw8LDQACzJY1PgIk8MYD5Ze+nTHG/9/ZC5grAxlhaW9qTtpx7hs0Vz2Pr2MYjKZ8yGtL65ZRaZRjAztPMlt4xy3lblF/S2jJJEgorTKm++xY7tLn2QmzJZ0zkrHRFMScq5gFg/WEgU2S2BIeEBYwxHnvLKZHj3KfYx7tvCdsnNXmbQMY0UMyafFh4MCgzeWDzGnPknTdZ+GH7KR6POxN8CxaCytlLQH6F2XL3TdbQdiFhID6no+K4wrP9FAAy8svm48xXgjGqbkpnywm1anyxuPsmcP7TaR4xMrgkLtvuKHQCjGy58yb7d25xtqQtiun03VF4DmDP7vaBT94A9t9dnF9S9kX0PIrOYNKWTzGic+cN1uNtYX5Jl4sY9Ow8EZo/9ykWCbnzx+zrhc2XdIpoe5IkAMyWYA0DFueXlOHsU3lihsnW5LtvsX/AQmzhcSNJZ9KW4horiAtssQqavE0DIeTrhJCXGo0Gl/dLGz45RXgA4OLngI9+CNz4HlPigkvqBaKctUBISmm758A0CHJBbhUhwKXngQ++x+y58AsLU0WAdBOsOanw5MrsBP7u/wd8/Dpw4dm0jxkJPIhoazJsuvogqzr98e8xVeTCL6R9zEioFtKriK3eYBQ6AdiCbeaAP/yfWVh7wbakURFPKW+Xnmcf/9U/AEAXZ4tPEpIWxXQGLiidWMMufZ59/O5/zz4uzC/pwqaBP8uTfhl0gB/8jwCI8IvcA6Ql1a3JsCnA/HJ4E3jzH7MUg81rKZ8yGtL2RQxaWJ2aLx+/Brz7z5miWBJ72w0AWKaR+srCYIydOFBfeh648a+Amz9g44tzusSZIG+U0pcppS/WajUu78cWi/SODEKwAIDHv8Zi+B+/Bjz61bSPGAlGUKmVcrGo5C2QcYL22NdYGXf9xsJs4ZK/13NO+gQAHv86O333G8Cj/0GaR4wMLopoz0HF/5sAYKGga78C3Pw+QL3F+yUNqe45qOTGbMmVgYd+iS18APDIL6d4wuhIS6pdj/rzZcyWlYssdHrjeywkdOULPB51LqqFdEUxwTVhJ2y5cJ0dEG58j6kKQS6vYKQ9TI9sGZv7D/9pdkC48T3ggevCb4gJkFZ5m2rLtV9hH298z7crM+U3+SOt8jbVlse+xtI/Pnp1YesxkL7Ap9lzYBkE+cwYpXrsz7JChb0fC1mPzwR54430i4WDrGkgnxlj2le/DFz7syyu/9n/lMNTRkPaxOXmNMLz9DeZknju08AzfynlE0ZDPmMgY6a7vmiqLc/9Jyy59OovLZAkBLmI6Q4Ip2z5wt9kYe2nf2OBoZP0tgQHhBP40t9jnco//18AVfGNk4H0zTqDMFB10pYX/jvWiuJLvwVkCimeMDrSHnZa0w6ghgF85e8DhTXgy//NQhR3gK1haYpiArXqBBHNVYA//d8yW770WzweMxJ47C3B+wyxepnNk/I28It/K+0jRkZaIjryy3iE6rNsf1m5BDz/n6V9xMhIu0+2+oPpIseDXwS2ngCe/WscnvIkxLb4VxTVQgb3mr35LwxBszc4vRkZBvCX/0nKJ4sPHqfWE6oIwPLC/vq/SPlk8cAqtVIS0f4AW5WJnLbiGvCf/9uUTxcPFQ5h0+NJ5Q1gYYa/+eMUTxYfaZU3x/XQsd3Ttpz/DPC330n7eLGQVnmbqrgDTA35Ox+kera4GM+r3KnFz+M8DrPlU3+R/VsgqnmLFcX0nWFD1TgI9cuf+i/ZvwVCSFQHAL76LfZvgagWMrhV7yT+/WbPQdYyRgVkADsQ/IX/lcPTxQMPUn1qDTMzwH/8T1M+WTi08jYFtZQNLqeqIktCWluOZbMlRQhYFr9kLQOFjJmaVJ9SeJaAtP33pp6+l4S04eypocYlIT0RlciWlGNMKlvyGXQHLmzHS/T7w/w9GeZLyhYuxz1HijUM4EOqF72GafI2Benj3wMpFgogfRPVqSeKJaEiIgS8JKQh1bbD7gSUwZZKzi+KSUiqQ5WEJaCWsv+elLYkJqIhIeAlgJctUvilGBTFJCeihYyJjLn8rTu4CzhpUYxc+ySHCJUmb8tHEP9OPijlIQk8EmRlWMCBdKSaUirZYpHcFpmUhGFRTMIxdiyRLWlDwDL5JW0j6BHhkcCWlPl7xz0HhLDq+2UjbbNxqfaWQgYDl13XlQRS2ZJ6n1y8yKHJ2xRU8xl4dNSRPy6kGpRnJNQIpEsq7TseBi6Vx5YUORYyKQlAulOrTArPsCiGd87bEpC2/97USsAlIW1fxGZvgHLWgmEspsBiFtI2Tm/2F6/whIHHYUcaWwoZNFMUxeiwqSRI23FZKoXHv77IceOfjiid0vpgiWBd45OevuVRRYB0ndZlUkWAdKdWmWwJimKS+iU0yX8JSFsU0/T7Oxaz4q/ymgcehSQy+ATgQXgkWo/TEtHJFkFLRFAU07KT7y9VrbwtH2dqsfAnWJLGox3bhetJpFalCjXKo/AA6RpcyqSKAOmSfeWzJblSHdiy6EV8GoKimDQH0HJuovXBkpC2EbRUh+mUtshUQJb2mj+59knflk58W7xhf0etvC0daaqbPI+iZUt0Okpx0pNJFQGYLbbjoZeg8ahMIS0gXahRJoUHOGMh4BQVdM1ecHeuHMtqOlItz8bKoyhGFlvS5u81l6DwhIFHdbZMewuQzJa27YDSxa9hcqwykiFNUmkrcGROksUiReJyoCTIUJYOpFsshrZII9MnL4oZqlWy2JIiF1HGMZYqt0oStQpIR6qn9hFcEgyD+NcXnQWFJ23+nkS2pGg27noUbduVx5YUzcaXJXJo8jYFaWL5MioJQLLFQj6Fh8cEk8SWgpW4KEY6W1JcHD61UecSkTZ/TxbCA6QnorIcQIG06u4AZUn8UsiYsIw0RTFyJfkDyfaWqTd4LBF8IlRaeVs60jlSvsR4ICkRDXJ4JJlgHJQ36RaLFAcEedQqK3FRjEyNOoF0F4fLpIoAafMqJbMlRV9EmWwhhCQm1QPXQ2/gSbO3VPLJRY7j4d4ihy01DvukVt4kQDAojxIkL8p2oggG5VGCQTn1TsAlopYiqVS2/L2hXxLZIk+jTmC8iWqy0LwsPgH8KuBO8nC2LPMeYH456tqJflemlhQAUCtYaCS1RSLyBvh+SbWGyWFLzjJRyJhnwpY0hSRaeZMIlmmgmreUcmQYVotZAElJgqS2JFjEh2qVJKGglRS2LKOyaRZWigERPQO2FLKwXQ/dhEUxMhHRlWI20bwH2CFUKlsKyWzpOy5s15NG4QEYeUuyt7QkO4ACbO6fBWGgkrNgkGT75PGSIlSavIVgpZjFYYLNSLZ+YvmMgaxlJNpYZQsBr/ino8N2MiJazlkwJWjUCYwTnmS2SEV4fCJ6eAZsWfX9chZsWSlm0OzFD2ez20jksmW1lEnsE0CeAyjAxli6vUUeW9gBIc3eIocthkES7/nLIqJngrwRQr5OCHmp0Whwe082wZIvFrLk8RBCEi8WzZ4DgwAlCRp1AkzaJiSZwiNbSGt1SHiSLeKyEGpgXN1N6BdJqmaBMSLaTmaLTArPSKmOt471Bh4cj0o1xgKSEDecLSd5yyY+gAKy2XJ2SPVKUa1w9pkgb5TSlymlL9ZqNW7vmfxEIZccDPiLRcJBKVPrA9MgqBWSLxayLRTA2VDezpJatZrQL6PbSOSxJWk4WzZVBGB+cfxmqHEgW1sdIL1aJdsBIZkwIFdUB0hni2kQFDKLFTnOBHkTgeRq1QCWQZDPyPOnZScK9RUeIMUE68tlSz7Dkn3PgsKzkkp5kyu3arWUTBFt2y68JTTqnIXVhOFs2VoEAeNjLJ4tMio8q8UM2rYL24kXzpbRlqRqlYxjLI2KWMkvXuSQh2FIhpViFkcJpe1lOHIW0ihvMk0uIJ20LZstaRcLWVDNs1zCuITHXdK1MrOQXq2SiIgmDAHLqvAA8Um1jH5ZKSU77Mhoy6qvIsa90L3Zc5A1DeQXrFbNQppo2zLWME3eQrBazKLZdzCImewrW+sDIJ1ML9MCDqSRtuVSeAD1FoswEEKwkiCcPUr0lceWlUIytUpWVQQ4O2oVcDZUxKS2yFYxD7Ax5tH4d2cfS5aDDKQoJOkuJ29Xk7cQrJaSLXxH3cFw0ZQFq75aFTfZ96gzQE0yW5Iqb0cde1itKgtYBV28xaI3cNEduMMwkixIEpoP+vXJZEvWMlDOWbH9EozJgPzJgKQh4KDAQaZ1LGlofjTG5LElqYp41B2glDWRleTuXCC5LY2ujHtLFr1B/LuzG0va8+UZBZIh6WJx1BkMm5bKgtViFo5H0YyZ7NvoDuQjPAmUN8+jS5tgs5CkD1fQAVzGMRa3gi7ocSfbGEtyQAjWCZnGWClrImOS2ApPw7elJhMRDdSqmCHgo64N078bVRYkDc0fdQZSHXSAkcgRm7x15NxbgGSkWpM3iZBU2mYkQa4JNlws4m6uHfkIz2oxg47tou9EPx01+w48KiPhia+8yaiKAOx5EqtVZ8EWCUk1IQS1QvzQfOAXmWwJniXuenzkkwSZcpCT9kVsdG2pfAKMCH7cdjRHXVu6fTJppTkTbBZviyZvIRjlvsRd+OQLzyXp5i9reK7mP0+cK7JkDM8BbIw1uoNYyb4yhucA9reN2zVeViK6mkARlTE8B4xSJuJAxvCcZRqoJLj15kjCbJNZFQAAIABJREFU8FwakiDj+AISqoiS7pNx9nxKKRpdWytvMiFwRhySIGt4LomKKG94Lr4tMofn4ib7yhieA5KpiDKG54BkhSQyhueAZGkGMobngGS2yBieK2TMRLfeyJlPHVQ0xz/sSEeqE+S5d2wXA5cuZYxp8haCJMm+LVvO8FyS/L2GtOQtvl+Gtsi2WKSxRTK/JEn2ldWWJC1cGl2W6ypTeA5Ilr/X6A6GF3XLhDR+kQlJb72R0ZYkt944rodm35EuepBkPV5m9ECTtxAkSfZtSJgrAiRL9pU1pJUk2XcUapTLliTJvmeJiB51BihKFp4DGBE97g3gxgxnyza+gIRqVVe+1A8guSIqr4oYfW+hlDK1SjLCk+TWm6B9S60gl0qdpLXOMvd8uVZNiUAIib1YHEmaW5Uk2VfW3KokXeOPJCU8SbrGH3XYVSwV6cJzwQEhnl9kJAmrxQwoRaz8KhlbHwDASil+myAZc6uAhAU+Elb/A/Fb63QHLmzXk9Qv8Q4Io9QPufaWnGWimI13602QkqMLFiRD3MVimFsl2QSzTAPVvBWTiMppS6JQ4zC3Sn1bjvyKM/nCc/FD86yPoFwLOJBcRZSTiGZhux46dvRwtoy5VUD8W28c10Oz50hpS1zlTdboARA/NC/rYRqI75dlFipp8jYDK2dogq2WYg5KSSdYIWsiZxmx1api1kTOkucqFiBh8YWsJKEU3xZ5w3MJQvPShufiheZlDc8B8W+9CcJzco6xpFEd+WyJq7w1JN4n4yqiOudNUqwmdKRshAcIiGi8xULG8BwQNISN5xcZF4pqPgMjZrKvrOG5xGqVzLbECQFLG56LF5qXOjwXsxpQ1vAcEP/Wm2WG5+YhvvIms1/i75PActKLzgR5I4R8nRDyUqPR4Pq+a6Us6jFIgqzhOQBYK2Zi2SJreA5gKmIsWyQNzxkGy6s8iGmLjEQ0IDzxxpic5G2tFM8WmcNzgS1Rx5jU0YOYY0zmw/Raid16c9yN1iZI1j6CALBWzOKg3Y/8eqnHWNy9pWsjaxnIZxZPpc4EeaOUvkwpfbFWq3F9341yDvW2Hbnq7KgzQCEjX3gOYLYctGISHgknFwBslLPYj0Oqu7Z0lU0BNspZHLRiLHwSdlkH2J2g1bwV2ZYgPCdjS4r1MiMJ+xE3pFH1nHy2bJRzABDZLzLerhAgri2yVv8DI1uijjEZb/AIsFHJoTfw0I54/WIwxmSc+2w9jhcCXtYNHmeCvInCeikLj0YPBcnYoDfAejmHg3Y/skwvY0+hABvlHPab0QkPu6NVPuUNANZLOezHXSwkVBEB3y8RbekNPBaek9AvxayFYtbEfjOqWiVncQ8wRkSjkrcgPCehLRu+Lfdj2iKjwjP0S8R1TOact/VSvDHW6A5QyVswDfmiOhvlHJp9J3K/ymWKHJq8zcBGxT8dRV4sZCY8WQxcGrn9gcxEdKOcxX4rOhGVNbcKYGMs6vhyPYrjniPxGMvF31hl9Us5ul+COSUjEa3kLGQtIzKpPpbYlqFaFdEWWa/FAxLY0h0gaxooZCSM6lTi2yLvvI+XZrBMWzR5m4GRTB/9BC7roNyMOcEOJbyjNcBGOYe+46Edof0BpdTPeZPVlugyfUPSxskBNirRQ8BBMYC8Yyx6Hs8w1CihXwgh2IxBRA8lVnhqhQwsg0QfY0F4Li9fysRwb4k8xmzUinLmIG+W44kcbG+Rj1ADY6Q6oiJ62LGXVkSiydsMbMQclActG+v+78iGM2lLhAnW7DuwXQ8bJXltaUWU6YNNS2a/RD0cBJuW1LZEDJsGc0reMZaN7hfflqDQQSYYBsG6r7pHwUG7j9ViBpYp3za3VsqCkOgkYb9lD8OTsiHZ3iKnLetxbWnbQ7Vu0ZBvVEuEYY5FxAl20LaxIekEi5P70rVddGxX4gkW3Za6v2nJakucMRZI+dKOsVIOje4AtjO/D1dQ0SWrX9ZjqFUHKtgSgyRUchbyEobngHg5ojIfQE2DYK2Yxf0Yh50NSW0JiH7Uw069bWNd4oMOEG1v8TyKw/byiKgmbzNQK2SQMUmkxcJ2PDS6A6xJOyijh4CHqoikJCFOvkhgi4xKAjAePolgi2/vmqQkYaMSvZVD4DtZx9hmOYt6J1qleb1tI2cZKGblJDxxQsD1ti3t+AJYflXUsOlB25Z23gNBB4AYfpHUlqxloFbIRBpjlFLst/rSHnTi7C3HvQEcjy5tz9fkbQYIIVgvRZtgQUWqrINytZiFQaKdKA6GG6ucRHQzRiFJMAllPbXGCQGPSLXktkQaY31YBkE1L19uFcBIAqVRiShTRWTMRwJGbYK8CET0oN2XllAD8UPAywppRcFGJUYIWOJQIzAqIpuHtu2i73jSjrF8xkQ5Z8XcW7TyJiWiTrBh3oukE8w0CNZK0UJBo3wkOW1Zi1GafiB72DQmESVkdOWRbAjIW5SK04MWUxIMCdsFAHGJqOwbaw6OF63SXOZQI8CS4+9HrDQ/kDg8B0TPEe0NXLT6jrQHUCB6jugojUVmW6IdEIapH1p5kxNRcyxGOTxyD8r7ESaY7MpbxjSwUsxEy3mTPGwap0dSvd3HSkHOBGxgLF8kYv6erD4B4vpFclti5PEwwiO3LbbjoTmnIazjejjqDOT2S8TDdLC3yGxL1NY6+5Kn5ADR+4guu7hHzl1AIkTNSxjmI0k+KKPkJciegA1EvzEiSMCW8dYLgMn0lZwVLX9PclUkVv6exAnYwEgRjZQj2upLe9ABxls5zLbF8yhLJpd83gPz/VLvLDekFQUblSw6touOPZuIHkieHwpED5vKHgkB2LNF2SeDW3502FRSsLCpPVeml71dABBngvWRz8ibgA3EsEXyzQiI3qj3QOJ2AQBQylkoZMyIp1a5/RI1bEopxf4S2wVEQdTQfKM7gOtRqYloVL8cKBGei0ZE9yVvqwMwW457DvrO7JZHdUVsiRRt81+zqpU3ObFZzsF2veH9hWGot22WgC3pHZrAKC9hHhENckVkTcAGYkywdl9qNRSIQ0TlrdIKEDVHVPZQYzVvIWsac/P32rYL2/GktiUy4VFEcQfmh+ZVCDUGiui8MVZXQXmLqFTLXmUOsDF22LHhuLNbHh20+35HiuXQKE3e5iCobLx33Jv5ukBJkJnwbFVz6A7cufkisqsiALBVyWPvuDefiEoeagSYLfeOo+YjyW/L3hxbVEjAJoRgs5Kb6xfZGycD7BaLjEnm+mVoi8RjbKvKnm1vznosewEZML63zCPVcheQAcBWYEsEUl3KmtL2EQTYGKN0fprBsqM6mrzNwblaAQBwtzGHvLX70vZ4C7Dj27IbyRZ5FwoAOFfLo2O7cxVRmTuTB9ip5XG3MZuIDvwEbJkXcIDZsjvvoNOW//QNsDF2t9Gd+Zp9BXJ4DINgu5rH7hxbVFDe1opZZE0DdyMcpgG5iei5Wh4A5o6xg5aNrGWgnJM3qrMT2HI0z5a+1AcdYOSXO3P90l9qmpQmb3MQOHIe4bnflLunEDC+WESxRe4JthPBL47roS55YjzA/NIduDjuhhNRFXJ4AOBclRGeWUQ0uE1Cdlt2avlI8x6QO9cVCIhoNFtkJm+GQbBdy833i99HsCbp3bkAC+lmLSPa3lKSO6oTVeS4L3GD3gA71Wgix/3mcm05E+SNEPJ1QshLjUaD+3tvV6MRnt3jHnb818qKERENP1E4rof7zb70tpxfmX9q3W/Z8CiwXZPbluHCdxxuS6Bmye6XcysF9AbezJ5iwaIouy3nVwpzFdEgfLddk528FeYqorvHPVgGUYCIFuaux3uNHrYqOWn7CAIsNB+FVO8e96Rfw1aLGUZE542xhjr75Nwxdtwf8oNl4EyQN0rpy5TSF2u1Gvf3zloGNso57M7YWF2PMsIj+QTbquRByOxBedBWg/BECQHvKUJ4diIsFqrYEmXhu9dUg/DsVPPoOyxcHYY9ZQjP/ND83rH8hAdgtsxTRfaa8hMegI2xubYoIAxEJaLLJjxRsFLMIGcZM0WOVt9Bq+8sdc8/E+RNNOYNyv1WnxEeyQflkIjOsEUVVWSrkptLRJVRqyKEgFVReKKEs3cb6hAeYP4YU4Hw7NTysB0Ph3OIqBKExydvs4ioCgoP4O8tM4QBQA3CAwREVG7CEwVRiKgM+6QmbxEwL/cl+JkKE2zuoFSE8GRMA5tziKgqhGezkoMxj4g2ejA14VkohkR0xuaqCuGJkhyvDOGp5mG73sx7Z5UhPLUC9hr90HtnVSE8wCjNIAwyEJ6oOFcrRNtbNHmTG2eF8ADzZXpVCA8QnFrVV3gypoHNSm7mqVUVwrNZZkR0li17xz1sKTBXoiRh7zZ62K7Ib0u0NAN1CA8Q7peA8Khgy7maT0Q704noSBiQew0D2GFn77gXSkSDvWVLAVuiKm/L9IsmbxGwU8uj0R2EXmOiHOGZc/pWgfAAgSKqPuEB2IY0L+dNhc3IMg1sVeYvfCocdDYrOZgGmUt4VFBF5imiqhEeIJyIDhUeBdbjeWkGMig8UXGulsfApaHX46mkvM0jokPBRue8yY0oi4U6hKeA456DdkijXpUIz7yqM1VCWgALBc0Lzauw6AHze72pQnhMg2CrkjsThGejPJuIqkR4hkQ0ZIypRniAcFKtFOGpztknJSA8UXGulofj0eHVZJPYO+6hkrdQzC6v954mbxFw3pfpbx9OV3lUIjxBi42PQ2xRifCcX8mj2XPQCEnCVonwnF8p4OPD6f3RKKXKEB4AuLBSwO16Z+rPVCI8APNLmC0qER7TINip5nH7cLotKhGejXIOWdPAx/P8ooAt51f8vSXMFoUIz9CWGWNs2YQnKkZ+CdnzJdhbNHmLgCsbJQDArYP21J9/fNjFA6vFRT5SYlxZZ7Z8dAZsuRzYUj9tC6XUt6Ww6MdKhCsbRXQH7rBR6jga3QFafUcZWy6vF/HxYXfq3YAf+wu7SrbcCtlYR7aoMV+ubBTx0cFsWy4qYIthEFxcK8ywhW24wQYsM9ZLWZRz1owx1sVaKasE4bm8zsbOLL+oMleCveXWlL0FgBR7iyZvEbBVySGfMXAzZFDernfwwJr8CwUwTt5O2+K4Hj457OKiIhtrYMs0v9xv9tF3PFxaU2uxmGZLsLBfVMSWK+slOB7FnaPT4ZNbvn2q+OXKegl3Gz30Bu6pnwVqiSq2XF4vhR7abtU7MA0yDOPJjivrJdycYctONS/1/ZkBCCG4vF4MteV2vaPMvK/kM9goZ2eOsUuK7JMX1wogBLi5f3o9ppTidr2z9HmvyVsEEEJwZb00lfD0Bi52j3tLd2RU1IoZrBQzU9Wqu40eHI8qY0vwnNMU0YDwPKCILVeGp9ZwW1Txy/AEPmWMqWrLtLDWrXoHOYu1rFEBV9aLOOwMpt5+cavexYWVAixTjS3h8noJt+qdqWkGMmyscXBlvTQ81EzilmK2XA7ZJz1PDsITFTnLxPlaYaoietQZoNl3lk6q1ZipEuDyenHqxvrJUReUqrMZAeETTDUloZA1sVPNz1SrVLHlwkoBlkGm+kU55W0jXEW8Xe+gkrOwUpT3zslxzFJ3b/mqiAq5rsBYKCjEFlXmCsBCwB3bxf3W6TSDWwqpVQDbW24fdk6lGTiuh0+OusqoVQBweW36Pnm/pVYkBECoIirL3qLJW0RcXi/ho3rnVOmwaoQHYBNs2qAMEk1VWvguhZDq2/UuCGGkSAVYpoELq4Xpfql3h7kxKiBIM/hof9oY6+LiWlHqS7bHcXmGInq73lVr3vu2TBtjHytGeIK/++RhpzdwsddUJxICML8MXHqq4vRuowdXoUgIwPbJO1PSDG4rdgAFZogc/j55aV2TNyVweb0I2/FOlacHzlVpUF5ZL+KTwy76zskJdvOgA0uhvBeA2fLhlLyEjw7a2K6okfcS4HJIHs9HB21lwr+An8ezNt2WmwdtXFRISVgpZlErZPDhBBGllDKFR5H8UGBEeG5O2NLsDXDQtpXyS6CITvrl48MOKIVStlwOsWW4tyiS5A8wRRTAqXDjTUX3yXrbPpVmIItflk7eCCHfIIR8Z8bPDwkh3yGE/J1FPtckHtmqAADe3W2e+P5795qo5C1sVdTIewGAh7cr8Cjwwb2Ti8V7ey08uFFSJu8FYH7Zb/VPXZXz3r0WHtkuL+mpkuGRrTLev9eCO6HuvnevhUe21LLl4e0y3tk7OVf6jouPDjrDuaQKHtkq47291onv3W300Oo7eHhbHVuKWQsPrBbw7r2Ttrznf62SXx5YLSBnGXhvYowFflLJlmBuvztpyz329cMKrWMPz7AlaxpKqYjB/nHKlr0mztfyKC05ErL0XZpS+vtzXvJNSulXKKW/s5AHCsFj59hi8LO7xye+/+5uC4/tVJQJAwHAE74tP5+0Za+JazvqLHoA8Pi5KoCTtrgexXv3mrim0MYKMFt6A+/ECbzetnG/2cdjivnliXNV3K53cdwbnVpv3G/D9aiSY+xnd49PpEwExFQ1vzx+roqf3Wmc+F5wIFXJFss08NhO5dR6/M5eE4SMSIQKWC/nsF3Nnd5b9ppYLWaUKYgBGGnOmAQ/uzO5TzZxdbOEjELCwBPnagBO75Pv7LXwqARzRYW/5Aoh5GrYDwkhLxJCXieEvH7//n1hD1HNZ3BxrXBiglFK8c5eE48qRhIe3CgjnzFO2NKxHdyqdxQkPD6pHlssbtc76A08KSZYHDzhE9Fxv7zjb6yqjbHAlrfvjk6tgS2qkbcnzlfR6jsnGlsP/aKQwgMwv3y430bXHqVMvL3bRDFrKpMfGoAR0eMTFafv7DZxea2IQladdAlgZMs43t5le4tKwkDWMvDQZvk0qd5VTxjYruawWsyc8MvA9fDBvZYU+6QK5G0NQJ0Q8rvTfkgpfYlSep1Sen1zc1Pogzy+Uz3BwveO+2h0B8ptrKZBcG27csKWd4Nwg2K2BKfWcVve3mWfq+aXh7fKyJjkhC3vKGrLNEX07d0mLIMM85VUweMhpHq7mkNNkarZAI+fq8KjOBHSfme3iUe2yspUzQZ44nwVh50B9o5HFafv7DaVW8MARqo/uN+C7bCKU8+jeG+vpdy8B5hfxud9ozvAnUZPOVsIIXjifPXEvL+534btelKMMeHkzc9pe3Hi3wtRf98nZ0cAjggh3xD4qHPx1IUaPtxv46jD8qveuHUIAPjUxZVlPlYiPHmhhh9/3BiWp7/xUWBLbZmPlQhPna/hzdtHw6//+NYRsn5YRSVkLQOPblfw5q0xW24fYbvKCKpK2K7msFHOTvjlEE+eryJrqXBmHOHadgWWQU7Z8qkH1Jv3T11gRPRNf+1yXA9/8vGRmmvYebZWvXmb2XLYtnFjv41PK2jLUxdqGLgUP/VD2u/da6HVd5T0y1Pna9g77uNugynVwbxRcr6cr+Htu81h9ewf+2vzpyXYJ4WvopTS3/cJ2Pi/V6L8rk/0nhX9jFHx+YfWQSnwhzcOAACv3awjnzHw5Pnqkp8sPj5/dR3NvoMff8IWi9c/quOB1QLO1dQKnQDMLzf227hzxBaL127W8cwDNaUqTQN8/uo6fvTR4TCs9frNQ1y/sqZU6ARgp9bnr67j1ff3QSmF7Xh48/YRrl9ZW/ajxUYha+Izl1bwww/2AQD3mj3cPOjgOQVteWC1iItrBbz6AVvD3t5tom27Svrl6Qs1FLMmXn2f2fIj/wB6/fLqMh8rET73IPv7//CD0d4CAM9dUc+W56+uA8DQL6/frMM0CD59ST3y9vzVddiuh9dvsrH12s06VosZPLS5/JzKpR+BfRXu+riqNlZ9+n/5X38DiFTcIBSfvriCUtbE999ji/gP3z/As5dWlUrCDPCnHmIT7Afv7cNxPfzhjTo+q+ACDgD/3sMbAIAfvL+PRneAH3/SwHMPKmrLIxuwXQ+v3azj5n4bnxx18ZyCmxEAfOHhDdxr9vHevRbeuHWIvuMpuRkBbIz9+JMGjjo2/o2/wV5X1JYvPLyBP/zgAI7r4dX32Vqmol+yloHPPbiGH/g2vPrBPrKWoaRatV7O4fFzVXz/PZa3/cMP9rFVySlVnRngsZ0K1ktZ/MC35Qfv7+PJ81Vl+lSO47MPrsEyCL7//n1QSvHDDw6kOUwvnXVQSl+hlK6OEzNK6Vf8j0eU0jd89e7vLu8pGTKmgX//0U38s5/s4iefNPDOXhO//MT2sh8rEdbLOXzm0gr+4K07ePWDA9TbNn75STVtubZdwYWVAv7pm3fwz3+6i4FLlfXL5x5cQylr4g/evIOX37oDAPjKkztLfqpk+OK1TRgE+IM3P8HLb91BPmPgFx8Rm5cqCl9+bAuUAi+/xfyyXc0pGQYCgF+6toVm38F3376Hl//kDp55oKak4g4wv3y438Ybtw7xz368iy8+uqmk4g4AX35sE3/0YR3v7TXx3bfv4atP7khBEuLCMAi+dG0Lr/z8Ht7da+KPbx3hq4quYaWcheevruP/eesuXv/oEJ8cdaWxZenkTTX8lc9dQr1t45v/y79BIWPia586v+xHSoy/8tlLeP9eC3/jf/8RNis5fOna1rIfKREMg+Avf/YifvD+Pn77D36CR7fLSua9AKwX1689ewH/95uf4H/67vv4xUc2lKsCDHCuVsCXH9vGP/r+h/g//ugWvvbM+aX3RkqKpy/U8MwDNfwP/+/beOXn9/DNX7ioXIJ/gC8/toVztTz+q//zTfzkk2N88/rFZT9SYvz5z1xAKWvir/6jf4vd4x5+Q2Fb/tJzlwAAf+4fvorewFPalr/6/CW0+g7+/D98FRmT4Fc/c2HZj5QY/+Hzl/DJURd/7X/7I1TzFr4qicihyVtMfOHhDfxHz18GIcBvf/0JbCjUg2cSv/7sA/gzT+3AMgm+9atPKXtiBYC//oWreP7qGkpZC9/6taeVPLEG+FtfuYZr2xVslLP47a89sezHSYXf/toTOF/L4+pmGX/7l68t+3ESgxCCb/3q06gWLHz64gpe/GJo9yLpYZkGvv0XnkEuY+BL1zbxFxUmCdV8Bt/6tadhGQS//uwFvPC4mgdQgN0+8F//yuMgBPgbX3wITz+w/KT4pHj20ip+84tXQQjw9/7M48oeQAHgq0/u4NefvQDTIPj7v/oUKnk5KszJeI8c1XH9+nX6+uuvL/sxNDQ0NDQ0NDTmghDyI0rp9bi/p5U3DQ0NDQ0NDQ2FoMmbhoaGhoaGhoZC0ORNQ0NDQ0NDQ0MhaPKmoaGhoaGhoaEQNHnT0NDQ0NDQ0FAImrxpaGhoaGhoaCgETd40NDQ0NDQ0NBSCJm8aGhoaGhoaGgrhTJA3QsjXCSEvNRqNZT+KhoaGhoaGhoZQnAnyRil9mVL6Yq2m7nUiGhoaGhoaGhpRcCbIm4aGhoaGhobGvyvQ5E1DQ0NDQ0NDQyFo8qahoaGhoaGhoRA0edPQ0NDQ0NDQUAiavGloaGhoaGhoKARN3jQ0NDQ0NDQ0FAKhlC77GbiBENIE8I6At64BENFETtT7inxvUe+7AWBfwPsC6v0tVBwXovyn/8bi31fPPfHvK/K9VZt7It9btfcFgGuU0krs36KUnpl/AF4X9L4vqfS+Kj6zKN8p+rdQcVzouafoM+u5p/y4UGruqeg/wX+LRP7TYVMNDQ0NDQ0NDYWgyZuGhoaGhoaGhkLQ5C0aXlbsfUW+t8hnFgXV/hYqjgtR0H9j8e8rEqr9LVQcF6Kg4t9CtfdNjLNWsPA6pfT6sp9DIz6079SG9p+60L5TG9p/aiOp/7TypqGhoaGhoaGhEM4aeXtp2Q+gkRjad2pD+09daN+pDe0/tZHIf2cqbKqhoaGhoaGhcdZx1pQ3DQ0NDQ0NDY0zDU3eNDQ0NDQ0NDQUgrXsB+ABQsg3ABwBuEop1fF/yUEIWQFw1f/3HKX07/rf135UDISQb2v/qQVCyLNgcw+U0t/3v6d9pwim+Ur7T274/vlNSulXJr6X2I/KK2++saCUvuJ//cJyn0gjAn4DwPWxjeNF7Uf14Pvoqv+59p86+C1/7q0RQq5q36kD3zc3fF/dIIQ8q/0nP4K9LsA0n8X1o/LkDcBzAG74n98A8OwSn0UjAiilL42dKq6C+U37USEQQgK/BdD+UwCEkBcBvEYIuerPQz331MLrAH4vUE8ppW9A+09FTPNZLD+eBfK2MvH1+lKeQiM2fAJQ908a2o9q4aq/8QfQ/lMDD4H5pk4I+V0/hUH7ThFQSo8A/C6A3wPwC/63tf/UwzSfxfLjWSBvRwDWlv0QGonwDUrpb/qfaz8qAkLIC4G0PwbtP3XwgU8CfgTgRWjfKQM/lPYKpfQhAEdjOVLaf2phms9i+fEskLfXMGKsVwF8Z4nPohERhJBvUEp/x//8WWg/qoT6WI7GVe0/pfDa2OcrYBuG9p06eNYPlQLAPwDb7LX/1MM0n8Xyo/LkzU8EvOqfSFamKAIaksH31bcJIT8ihPwIwJr2ozqglL7h+2cN/mKj/acGfD+tBMnQft6b9p06eMkv8HoBwG9o/6kB3zfXx4oSTvksrh/1DQsaGhoaGhoaGgpBeeVNQ0NDQ0NDQ+PfJWjypqGhoaGhoaGhEDR509DQ0NDQ0NBQCJq8aWhoaGhoaGgoBE3eNDQ0NObAb2aroaGhIQU0edPQ0NCYj3+57AfQ0NDQCKDJm4aGhsYM+Ne4vb7s59DQ0NAIoMmbhoaGRgj82yO+7X/+wpIfR0NDQwMAYC37ATQ0NDRkBaX0DUJIHcC3KaU3lv08GhoaGoBW3jQ0NDTm4bombhoaGjJBkzcNDQ2N2agv+wE0NDQ0xqHJm4aGhkYI/Jy3N/zPdc6bhoaGFNDkTUNDQyMcNwAcEEJeoJS+suyH0dDQ0AAAQild9jNoaGhoaGhoaGhEhFbeNDQ0NDQ0NDQUgiZvGhoaGhoaGhoKQZM3DQ0NDQ0NDQ2FoMmbhoaGhoYsppQ3AAAAOklEQVSGhoZC0ORNQ0NDQ0NDQ0MhaPKmoaGhoaGhoaEQNHnT0NDQ0NDQ0FAImrxpaGhoaGhoaCiE/x/B5BVJli+YvwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "%pylab inline\n",
    "figsize(10,10)\n",
    "\n",
    "# Initialize potential\n",
    "kepler = potential.KeplerPotential(normalize=1.)\n",
    "isochrone = potential.IsochronePotential(normalize=1.0, b=1.0)\n",
    "\n",
    "# Initialize orbit with some starting point\n",
    "orb = Orbit([1.,0.1,1.1,0.])\n",
    "orb_iso = Orbit([1.,0.1,1.1,0.])\n",
    "\n",
    "tstep = numpy.linspace(0.,100.0,10000)\n",
    "\n",
    "orb.integrate(tstep,kepler) #, method='symplec4_c')\n",
    "orb_iso.integrate(tstep, isochrone) #, method='symplec4_c')\n",
    "\n",
    "orb.plotx(ylabel=r'$x(t),y(t)$',yrange=[-1.65,1.65],\n",
    "        label=r'$x_{\\rm Kepler}(t)$')\n",
    "orb.ploty(label=r'$y_{\\rm Kepler}(t)$',overplot=True)\n",
    "legend(fontsize=18.,loc='upper right')\n",
    "\n",
    "orb.plot(label=r'Kepler potential')\n",
    "orb_iso.plot(label=r\"Isochrone potential\", overplot=True)\n",
    "xlim(-2.0, 2.0)\n",
    "ylim(-2.0, 2.0)\n",
    "legend(fontsize=18.)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#%pylab inline\n",
    "figsize=(10, 10)\n",
    "\n",
    "import sys\n",
    "\n",
    "if not sys.warnoptions:\n",
    "    import warnings\n",
    "    warnings.simplefilter(\"ignore\")\n",
    "\n",
    "Lz = 1.0\n",
    "levels= numpy.linspace(-7.25,0.,31)\n",
    "\n",
    "# Initialize potential\n",
    "miyamoto = potential.MiyamotoNagaiPotential(normalize=True, b=0.1)\n",
    "tmp = potential.plotPotentials(miyamoto, rmin=.01,nrs=101,nzs=101,\n",
    "                         justcontours=True,\n",
    "                         levels=levels,\n",
    "                         effective=False,\n",
    "                         Lz=Lz)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7fb2793d8070>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "tmp = potential.plotPotentials(miyamoto, rmin=.01,nrs=101,nzs=101,\n",
    "                         justcontours=True,\n",
    "                         levels=levels,\n",
    "                         effective=True,\n",
    "                         Lz=Lz)\n",
    "scatter([1.0], [0], color=\"red\", label=\"Guiding radius\")\n",
    "legend(fontsize=18.0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now let us see the effective potential for an orbit with a larger value of $L_z$. We keep the same contour levels, so the contours will be expected to shift towards the right, and the guiding radius corresponding to the circular orbit will move further out."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "Lz = 1.25\n",
    "tmp = potential.plotPotentials(miyamoto, rmin=.01,nrs=101,nzs=101,\n",
    "                         justcontours=True,\n",
    "                         levels=levels,\n",
    "                         effective=True,\n",
    "                         Lz=Lz)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "<style>\n",
       ".galpybutton {\n",
       "    background-color:#ffffff;\n",
       "    -moz-border-radius:16px;\n",
       "    -webkit-border-radius:16px;\n",
       "    border-radius:16px;\n",
       "    border:1px solid #1f77b4;\n",
       "    display:inline-block;\n",
       "    cursor:pointer;\n",
       "    color:#1f77b4;\n",
       "    font-family:Courier;\n",
       "    font-size:17px;\n",
       "    padding:8px 10px;\n",
       "    text-decoration:none;\n",
       "    text-shadow:0px 1px 0px #2f6627;\n",
       "}\n",
       ".galpybutton:hover {\n",
       "    background-color:#ffffff;\n",
       "}\n",
       ".galpybutton:active {\n",
       "    position:relative;\n",
       "    top:1px;\n",
       "}\n",
       ".galpybutton:focus{\n",
       "    outline:0;\n",
       "}\n",
       "</style>\n",
       "\n",
       "<div id='galpy-wdpqdsknldjifxvmkqasjmwa' style='width:600px;height:400px;'></div>\n",
       "<div class=\"controlbutton\" id=\"galpy-wdpqdsknldjifxvmkqasjmwa-play\" style=\"margin-left:70px;display: inline-block;\">\n",
       "<button class=\"galpybutton\">Play</button></div>\n",
       "<div class=\"controlbutton\" id=\"galpy-wdpqdsknldjifxvmkqasjmwa-pause\" style=\"margin-left:10px;display: inline-block;\">\n",
       "<button class=\"galpybutton\">Pause</button></div>\n",
       "<div class=\"controlbutton\" id=\"galpy-wdpqdsknldjifxvmkqasjmwa-timestwo\" style=\"margin-left:10px;display: inline-block;\">\n",
       "<button class=\"galpybutton\">Speed<font face=\"Arial\">&thinsp;</font>x<font face=\"Arial\">&thinsp;</font>2</button></div>\n",
       "<div class=\"controlbutton\" id=\"galpy-wdpqdsknldjifxvmkqasjmwa-timeshalf\" style=\"margin-left:10px;display: inline-block;\">\n",
       "<button class=\"galpybutton\">Speed<font face=\"Arial\">&thinsp;</font>/<font face=\"Arial\">&thinsp;</font>2</button></div>\n",
       "<div class=\"controlbutton\" id=\"galpy-wdpqdsknldjifxvmkqasjmwa-replay\" style=\"margin-left:10px;display: inline-block;\">\n",
       "<button class=\"galpybutton\">Replay</button></div>\n",
       "\n",
       "<script src=\"https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.5/require.min.js\"></script>\n",
       "<script src=\"https://ajax.googleapis.com/ajax/libs/jquery/3.3.1/jquery.min.js\"></script>\n",
       "\n",
       "\n",
       "<script>\n",
       "require.config({\n",
       "  paths: {\n",
       "    Plotly: 'https://cdn.plot.ly/plotly-latest.min',\n",
       "  }\n",
       "});\n",
       "</script>\n",
       "\n",
       "<script>\n",
       "require(['Plotly'], function (Plotly) {\n",
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0.26002845841733624, 0.26001807385575426, 0.2599457264169232, 0.2598116366221116, 0.2596160229140804, 0.25935910169252147, 0.2590410873524974, 0.25866219232583854, 0.25822262712546407, 0.257722600392618, 0.2571623189470207, 0.25654198783995774, 0.2558618104103441, 0.2551219883438147, 0.254322721734913, 0.2534642091524643, 0.2525466477082388, 0.2515702331290259, 0.25053515983226227]}');\n",
       "  let layout = {\n",
       "  xaxis: {\n",
       "    title: 'R',\n",
       "    domain: [0,1],\n",
       "},\n",
       "  yaxis: {title: 'z'},\n",
       "  margin: {t: 20},\n",
       "  hovermode: 'closest',\n",
       "  showlegend: false,\n",
       "};\n",
       "  let numPerFrame= 5;    \n",
       "  let cnt= 1;\n",
       "  let interval;\n",
       "  let trace_slice_len;\n",
       "  let trace_slice_begin;\n",
       "  let trace_slice_end;\n",
       "\n",
       "  setup_trace();\n",
       "  \n",
       "  $('.controlbutton button').click(function() {\n",
       "    let button_type= this.parentNode.id;\n",
       "    if ( button_type === 'galpy-wdpqdsknldjifxvmkqasjmwa-play' ) {\n",
       "      clearInterval(interval);\n",
       "      interval= animate_trace();\n",
       "    }\n",
       "    else if ( button_type === 'galpy-wdpqdsknldjifxvmkqasjmwa-pause' )\n",
       "      clearInterval(interval);\n",
       "    else if ( button_type === 'galpy-wdpqdsknldjifxvmkqasjmwa-timestwo' ) {\n",
       "      cnt/= 2;\n",
       "      numPerFrame*= 2;\n",
       "    }\n",
       "    else if ( button_type === 'galpy-wdpqdsknldjifxvmkqasjmwa-timeshalf' ) {\n",
       "      cnt*= 2;\n",
       "      numPerFrame/= 2;\n",
       "    }\n",
       "    else if ( button_type === 'galpy-wdpqdsknldjifxvmkqasjmwa-replay' ) {\n",
       "      cnt= 1;\n",
       "      try { // doesn't exist if animation has already ended\n",
       "        Plotly.deleteTraces('galpy-wdpqdsknldjifxvmkqasjmwa',[1, ]);\n",
       "      }\n",
       "      catch (err) {\n",
       "      }\n",
       "        Plotly.deleteTraces('galpy-wdpqdsknldjifxvmkqasjmwa', [0]);\n",
       "      clearInterval(interval);\n",
       "      setup_trace();\n",
       "      interval= animate_trace();\n",
       "    }\n",
       "  });\n",
       "    \n",
       "  function setup_trace() {\n",
       "    \n",
       "    let trace1= {\n",
       "      x: data.x1_0.slice(0,numPerFrame), \n",
       "      y: data.y1_0.slice(0,numPerFrame),\n",
       "      mode: 'lines',\n",
       "      line: {\n",
       "        shape: 'spline',\n",
       "        width: 0.8,\n",
       "        color: '#1f77b4',\n",
       "       },\n",
       "    };\n",
       "\n",
       "    let trace2= {\n",
       "      x: data.x1_0.slice(0,numPerFrame), \n",
       "      y: data.y1_0.slice(0,numPerFrame),\n",
       "      mode: 'lines',\n",
       "      line: {\n",
       "        shape: 'spline',\n",
       "        width: 3.,\n",
       "        color: '#1f77b4',\n",
       "        },\n",
       "    };\n",
       "\n",
       "\n",
       "    \n",
       "    let traces= [trace1,trace2];\n",
       "\n",
       "\n",
       "    \n",
       "\n",
       "    Plotly.plot('galpy-wdpqdsknldjifxvmkqasjmwa',traces,layout,{staticPlot: false});\n",
       "  }\n",
       "\n",
       "  function animate_trace() {\n",
       "    return setInterval(function() {\n",
       "      // Make sure narrow and thick trace end in the same \n",
       "      // and the highlighted length has constant length\n",
       "      trace_slice_len= Math.floor(numPerFrame);\n",
       "      if ( trace_slice_len < 1) trace_slice_len= 1;\n",
       "      trace_slice_begin= Math.floor(cnt*numPerFrame);\n",
       "      trace_slice_end= Math.floor(Math.min(cnt*numPerFrame+trace_slice_len,data.x1_0.length-1));\n",
       "      traces = {x: [data.x1_0.slice(trace_slice_begin,trace_slice_end), ], y: [data.y1_0.slice(trace_slice_begin,trace_slice_end), ]};\n",
       "      Plotly.extendTraces('galpy-wdpqdsknldjifxvmkqasjmwa', traces, [0, ]);\n",
       "      trace_slice_begin-= trace_slice_len;\n",
       "      traces = {x: [data.x1_0.slice(trace_slice_begin,trace_slice_end), ], y: [data.y1_0.slice(trace_slice_begin,trace_slice_end), ]};\n",
       "      Plotly.restyle('galpy-wdpqdsknldjifxvmkqasjmwa', traces, [1, ]);\n",
       "      cnt+= 1;\n",
       "      if(cnt*numPerFrame+trace_slice_len > data.x1_0.length/1) {\n",
       "          clearInterval(interval);\n",
       "          Plotly.deleteTraces('galpy-wdpqdsknldjifxvmkqasjmwa',[1, ]);\n",
       "      }\n",
       "    }, 30);\n",
       "    }\n",
       "});\n",
       "</script>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Now let us integrate orbits.\n",
    "\n",
    "def orbit_RvRELz(R,vR,E,Lz,pot=None):\n",
    "    \"\"\"Returns Orbit at (R,vR,phi=0,z=0) with given (E,Lz)\"\"\"\n",
    "    return Orbit([R,vR,Lz/R,0.,\n",
    "                  numpy.sqrt(2.*(E-potential.evaluatePotentials(pot,R,0.)\n",
    "                                 -(Lz/R)**2./2.-vR**2./2)),0.])\n",
    "\n",
    "R, E, Lz= 0.8, -1.45, 1.0\n",
    "vR= 0.\n",
    "o1= orbit_RvRELz(R,vR,E,Lz,pot=miyamoto)\n",
    "ts= numpy.linspace(0.,1000.,100001)\n",
    "o1.integrate(ts, miyamoto)\n",
    "o1.animate()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7fb2786ccd90>]"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "tmp = potential.plotPotentials(miyamoto,\n",
    "                         rmin=0.0,rmax=1.8,\n",
    "                         zmin=-1.0,zmax=1.0,\n",
    "                         nrs=101,nzs=101,\n",
    "                         justcontours=True,\n",
    "                         levels=levels,\n",
    "                         effective=True,\n",
    "                         Lz=Lz)\n",
    "\n",
    "o1.plot(overplot=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "R, E, Lz= 0.8, -1.45, 1.0\n",
    "vR= 0.5\n",
    "o2= orbit_RvRELz(R,vR,E,Lz,pot=miyamoto)\n",
    "o2.integrate(ts, miyamoto)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "R, E, Lz= 1.0, -1.45, 1.0\n",
    "vR= 0.0\n",
    "o3= orbit_RvRELz(R,vR,E,Lz,pot=miyamoto)\n",
    "o3.integrate(ts, miyamoto)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "<style>\n",
       ".galpybutton {\n",
       "    background-color:#ffffff;\n",
       "    -moz-border-radius:16px;\n",
       "    -webkit-border-radius:16px;\n",
       "    border-radius:16px;\n",
       "    border:1px solid #1f77b4;\n",
       "    display:inline-block;\n",
       "    cursor:pointer;\n",
       "    color:#1f77b4;\n",
       "    font-family:Courier;\n",
       "    font-size:17px;\n",
       "    padding:8px 10px;\n",
       "    text-decoration:none;\n",
       "    text-shadow:0px 1px 0px #2f6627;\n",
       "}\n",
       ".galpybutton:hover {\n",
       "    background-color:#ffffff;\n",
       "}\n",
       ".galpybutton:active {\n",
       "    position:relative;\n",
       "    top:1px;\n",
       "}\n",
       ".galpybutton:focus{\n",
       "    outline:0;\n",
       "}\n",
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       "\n",
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       "  let layout = {\n",
       "  xaxis: {\n",
       "    title: 'R',\n",
       "    domain: [0,1],\n",
       "},\n",
       "  yaxis: {title: 'z'},\n",
       "  margin: {t: 20},\n",
       "  hovermode: 'closest',\n",
       "  showlegend: false,\n",
       "};\n",
       "  let numPerFrame= 5;    \n",
       "  let cnt= 1;\n",
       "  let interval;\n",
       "  let trace_slice_len;\n",
       "  let trace_slice_begin;\n",
       "  let trace_slice_end;\n",
       "\n",
       "  setup_trace();\n",
       "  \n",
       "  $('.controlbutton button').click(function() {\n",
       "    let button_type= this.parentNode.id;\n",
       "    if ( button_type === 'galpy-qfbwfsbhcauyhhskahalmtpf-play' ) {\n",
       "      clearInterval(interval);\n",
       "      interval= animate_trace();\n",
       "    }\n",
       "    else if ( button_type === 'galpy-qfbwfsbhcauyhhskahalmtpf-pause' )\n",
       "      clearInterval(interval);\n",
       "    else if ( button_type === 'galpy-qfbwfsbhcauyhhskahalmtpf-timestwo' ) {\n",
       "      cnt/= 2;\n",
       "      numPerFrame*= 2;\n",
       "    }\n",
       "    else if ( button_type === 'galpy-qfbwfsbhcauyhhskahalmtpf-timeshalf' ) {\n",
       "      cnt*= 2;\n",
       "      numPerFrame/= 2;\n",
       "    }\n",
       "    else if ( button_type === 'galpy-qfbwfsbhcauyhhskahalmtpf-replay' ) {\n",
       "      cnt= 1;\n",
       "      try { // doesn't exist if animation has already ended\n",
       "        Plotly.deleteTraces('galpy-qfbwfsbhcauyhhskahalmtpf',[1, ]);\n",
       "      }\n",
       "      catch (err) {\n",
       "      }\n",
       "        Plotly.deleteTraces('galpy-qfbwfsbhcauyhhskahalmtpf', [0]);\n",
       "      clearInterval(interval);\n",
       "      setup_trace();\n",
       "      interval= animate_trace();\n",
       "    }\n",
       "  });\n",
       "    \n",
       "  function setup_trace() {\n",
       "    \n",
       "    let trace1= {\n",
       "      x: data.x1_0.slice(0,numPerFrame), \n",
       "      y: data.y1_0.slice(0,numPerFrame),\n",
       "      mode: 'lines',\n",
       "      line: {\n",
       "        shape: 'spline',\n",
       "        width: 0.8,\n",
       "        color: '#1f77b4',\n",
       "       },\n",
       "    };\n",
       "\n",
       "    let trace2= {\n",
       "      x: data.x1_0.slice(0,numPerFrame), \n",
       "      y: data.y1_0.slice(0,numPerFrame),\n",
       "      mode: 'lines',\n",
       "      line: {\n",
       "        shape: 'spline',\n",
       "        width: 3.,\n",
       "        color: '#1f77b4',\n",
       "        },\n",
       "    };\n",
       "\n",
       "\n",
       "    \n",
       "    let traces= [trace1,trace2];\n",
       "\n",
       "\n",
       "    \n",
       "\n",
       "    Plotly.plot('galpy-qfbwfsbhcauyhhskahalmtpf',traces,layout,{staticPlot: false});\n",
       "  }\n",
       "\n",
       "  function animate_trace() {\n",
       "    return setInterval(function() {\n",
       "      // Make sure narrow and thick trace end in the same \n",
       "      // and the highlighted length has constant length\n",
       "      trace_slice_len= Math.floor(numPerFrame);\n",
       "      if ( trace_slice_len < 1) trace_slice_len= 1;\n",
       "      trace_slice_begin= Math.floor(cnt*numPerFrame);\n",
       "      trace_slice_end= Math.floor(Math.min(cnt*numPerFrame+trace_slice_len,data.x1_0.length-1));\n",
       "      traces = {x: [data.x1_0.slice(trace_slice_begin,trace_slice_end), ], y: [data.y1_0.slice(trace_slice_begin,trace_slice_end), ]};\n",
       "      Plotly.extendTraces('galpy-qfbwfsbhcauyhhskahalmtpf', traces, [0, ]);\n",
       "      trace_slice_begin-= trace_slice_len;\n",
       "      traces = {x: [data.x1_0.slice(trace_slice_begin,trace_slice_end), ], y: [data.y1_0.slice(trace_slice_begin,trace_slice_end), ]};\n",
       "      Plotly.restyle('galpy-qfbwfsbhcauyhhskahalmtpf', traces, [1, ]);\n",
       "      cnt+= 1;\n",
       "      if(cnt*numPerFrame+trace_slice_len > data.x1_0.length/1) {\n",
       "          clearInterval(interval);\n",
       "          Plotly.deleteTraces('galpy-qfbwfsbhcauyhhskahalmtpf',[1, ]);\n",
       "      }\n",
       "    }, 30);\n",
       "    }\n",
       "});\n",
       "</script>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "R, E, Lz= 0.98, -1.7, 1.0\n",
    "#R, E, Lz= 1.1, -1.45, 1.0\n",
    "vR= 0.0\n",
    "o4= orbit_RvRELz(R,vR,E,Lz,pot=miyamoto)\n",
    "t4 = numpy.linspace(0.,400.,4001)\n",
    "#t4= numpy.linspace(0.,15.,1001)\n",
    "o4.integrate(t4, miyamoto)\n",
    "o4.animate()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7fb278b78700>]"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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SEgCgb9++Cr0XHR0NfX19hd97VXx8PHJzczF69GiV2pHH4cOH0aRJE3z00Udq74tLP/zwA4KDg3H48GGlbukghBBNoJE5QniSlJSEDh06oF27dgq9JxKJYGdnBz09PZX6DwoKAgC1h7nKykocP34c77//Pjp06KDWvrgUERGB77//Hp6enpg3bx7f5RBCyBtRmCOEJykpKQofLSKTySASieDo6Khy/0FBQejVqxfMzMxUbutt/P398fz5cyxcuFCt/XCpuLgYs2fPRufOnbFv3756NTVMCGl8KMwRwpO0tDT07NlT4XeKi4tVDnOVlZW4fv26RqZYf/31V3Tu3FljN0xwYeXKlUhPT8fx48fr5TEqhJDGhcIcITx48eIFcnJyFA5zIpEIAFQOc5GRkSgpKVF7mHv06BECAgIwb9486OrqqrUvrvj7++PgwYNYvXo1hg8fznc5hBBSJwpzhPAgNTUVAGBlZaXQe1FRUZzc/CAUCsEwDEaMGKFSO3U5fPgwAGD+/Plq7YcrT548wfz589GvXz989913fJdDCCFyoTBHCA9SUlIAKH4na1RUFBwcHFS++UEoFMLR0VHha8QUUV1djcOHD2Ps2LHo1q2b2vrhikwmw9y5c1FSUoIzZ85AX1+f75IIIUQuFOYI4UFqair09PQUCjnV1dWIiYmBk5OTSn0XFhYiIiICrq6uKrVTl6tXryIrKwteXl5q7Ycru3fvRmBgIHbt2kXHkBBC6pUGG+YYhnFnGOZgQUEB36UQ8i8pKSno0aOHQiNsSUlJKCsrUznMhYWFQSqVwsXFRaV26nLw4EGYmppiwoQJau2HC/Hx8Vi3bh0mTZpUb8InIYTUaLBhjmVZf5ZlvWgnGtFGyhxLEh0dDQAqhzmhUAhDQ0MMGTJEpXbe5tGjR7hy5Qrmz5+v8nl46lZVVYW5c+eiTZs2OHToEB1DQgipdxpsmCNEW1VVVSE9PV3hnaxRUVFo3bo1LCwsVOpfIBBg2LBhal0T5uPjA5lMhgULFqitD65s2rQJMTEx2L9/v8IHOBNCiDagMEeIhqWnp6O6ulrhdVmRkZFwcnKCjo7yX7aPHj2CRCLB2LFjlW6jLizLwsfHB87OznjnnXfU1g8XRCIRfvjhB3h6emLKlCl8l0MIIUqhMEeIhkkkEgBQaJq1rKwM8fHxGDBggEp9CwQCAFDrAb43b95ERkYG5s6dq7Y+uFBeXo6PPvoIHTp0wN69e/kuhxBClKba+QaEEIXVHEuiSJiLiYmBVCpVOcwFBgbC1NQUffv2Vamdt/Hx8UGLFi20fqTr66+/RnJyMq5evYo2bdrwXQ4hhCiNRuYI0TCJRIJOnTqhZcuWcr8TGRkJACqFOalUCoFAgDFjxqhtkX9JSQnOnj2LqVOnonnz5mrpgws3b97E9u3b8fHHH2PcuHF8l0MIISqhMEeIhqWkpCi8Xi46OhpmZmYwNTVVul+xWIwXL16o9Xy58+fPo7i4WKunWIuKijBnzhx069YN27Zt47scQghRGYU5QjSIZVlIJBKFw1xMTAz69++vUt8BAQEAoNYwd+TIEVhaWuLdd99VWx+qWrlyJe7fv49jx44pNDpKCCHaisIcIRqUlZWF4uJihcJcSUkJUlJS4ODgoFLfAQEB6N+/Pzp06KBSO29y7949hIWFYf78+Vp7VltQUBAOHTqEVatWYdiwYXyXQwghnKAwR4gG1exkVSTMxcXFQSaTqRTmCgsLER4ertYjSY4ePQodHR3MmTNHbX2ooqSkBF5eXrC0tMS3337LdzmEEMIZ3nezMgzzAYB8AN1Zlj34yt85APjt5d8DgJBl2bUMw+QBiAYgYFnWW6MFE6ICZcKcWCwGAJXC3I0bNyCVSjF69Gil23gbqVQKHx8fjB8/HmZmZmrpQ1Vff/01MjIyEBoaCkNDQ77LIYQQzvAa5l4GObAsK2QYxothGBeWZYX/80hblmUtXj7rgP8PdR++8hwh9YJEIkHbtm0VmuoUi8Vo3749OnXqpHS/ISEhaNq0KQYPHqx0G28TEBCAx48f46efflJL+6qKjIzE7t27sXjxYowYMYLvcgghhFN8T7M6Ach4+fsMAP8YenglsHVnWbbmWSOGYbproD5COJWcnIzevXsrtKZMJBLBwcFBpXVowcHBGDx4sNpGpH799Ve0b98ebm5uamlfFeXl5Zg3bx5MTU2xdetWvsshhBDO8R3mjF75s/HrHmIYxotl2XP/86m2AF4wDHPgTc8zDBPNMEz08+fPOSqVENWwLIukpCSFDuwtKytDUlKSSjtZc3NzERsbq7Yp1idPnsDf3x9z585F06ZN1dKHKr799lskJyfj0KFDaNWqFd/lkAaOZVnIZDJUVVWhvLwclZWVkMlkfJdFGji+18zl4+9gVhdXALXr6WrW1jEMk88wzAevBL2avz8IAI6Ojix35RKivGfPnuHFixfo06eP3O/Ex8dDKpWqFOZCQkLAsqzawpyPjw+qq6uxcOFCtbSviqioKHh7e2P+/PkYP3483+UQLcayLF68eIHs7Gw8ffoU2dnZeP78OfLy8pCXl4f8/PzaX0tKSlBWVobS0lKUlpairKwM5eXlkEqlbwxuDMOgSZMm0NXVRdOmTdGsWTM0a9YMzZs3r/21VatWaNOmzT8+jI2NYWJiUvvRtm1brd0tTvjDd5iLwv+PznUHIHj1AYZhjF75sxeAaJZlxeovjxDuJCcnA4BCYU4kEgGASmEuODgYLVq0gJOTk9JtvAnLsjh8+DBGjBgBKysrzttXRUVFBebOnQtTU1Ps2LGD73IIz6qqqvDgwQOkp6cjMzPzHx8PHz7E06dPUVVV9dp3W7ZsiTZt2sDIyAhGRkYwMTGBoaFhbSAzNDSEvr5+bVjT1dWFjo4OdHV1IZPJIJVKUV1dXftRWVmJ0tJSlJSU1P5aUlKC7Ozs2vBYVlb22lqaNGkCExMTdOrUCV27dkWXLl3QtWtXdO3aFebm5rCwsICR0auTXqSh4zXMsSx7jmGYNQzDuAAwqlkjxzCMgGXZmpNN2wJ48T+vnQXQ/X82T/xjVI4QbVUT5hSZZhWJRDA2NkbXrl2V7jcoKAgjRoyAnp6e0m28SXh4ONLT0/HVV19x3raqtmzZguTkZFy+fJl+uDUixcXFSExMREJCAlJTU5GWlobU1FRkZGSgurq69rkmTZqgS5cuMDc3x6hRo2BmZgYTExN07NgRHTt2hImJCdq3bw8jIyM0aaL5H5UVFRXIz89Hbm4usrOzaz+ePn2Kp0+f4q+//kJCQgIuX778r+BnbGwMS0vL2g8rKyv06dMHPXv2pJ3cDRTDsg17FtLR0ZGNjo7muwxC8Mknn+D06dPIy8uTe5rEzs4OJiYmtbc3KCorKwtdunTBjh07sGLFCqXaeJslS5bg2LFjyM7O1qrbFNLS0mBra4uJEyfCz8+P73KIGrAsi6ysLERFRSE2Nhbx8fFISEhARkZG7TMGBgbo0aMHrKys0LNnT1hZWcHS0hLm5uYwNTWFrq4uj/8E3KiZHn748GHtyOO9e/dqPx4+fIian/MMw6B79+7o06cP+vTpAzs7O9jZ2aFHjx4N4t9FQ8EwjIhlWUdF3uF7mpWQRqNm84O8Qa6srAyJiYkq7RAVCv/eEO7i4qJ0G29SXl4OX19fTJkyRauCHMuyWLx4MQwMDLB7926+yyEcKSgoQEREBCIjIxEVFYWoqCg8ffoUAKCjowMrKyv0798f8+bNg42NDWxtbWFubg4dHb73+akXwzAwNjaGsbEx7O3t//X3FRUVuHv3LpKTkyGRSJCcnIzk5GRcu3atdlrZ0NAQtra2sLOzg4ODAwYMGABra2teRiSJcui/FCEaULOTdcqUKXK/ExcXB6lUqtJaN6FQiA4dOsDGxkbpNt7E398f+fn5Wnfjw7FjxxASEoIDBw7A1NSU73KIkrKzs3Hjxo3aj5qbUBiGQc+ePeHq6gonJycMGDAAtra2NH34Bvr6+rC2toa1tfU/Pl9ZWYmUlBTExMQgNjYWsbGx8PPzw4EDfx8SYWhoiP79+2PAgAEYMGAAhg4dis6dO/Pxj0DkQNOshGjA06dPYWpqit27d+PTTz+V6529e/di+fLlePTokVLfRFmWhampKUaPHo1Tp04p/H5d3N3dERMTg8zMTK2Zonn27Bl69+6NPn36ICwsrMGPyjQkxcXFCA0NhUAggEAgqL0txdDQEIMHD8awYcPw7rvvYsCAAXTEjJqwLIuMjAxERkbWfojFYpSXlwMAunXrhnfffbf2o3fv3vQ1pgY0zUqIlkpKSgKAf/3f8dtER0ejY8eOSt/8kJiYiOzsbLVMsWZnZ+Pq1atYtWqV1gQ5AFixYgWKiopw8OBB+iGj5ViWRXx8PC5duoTAwECEh4ejqqoKhoaGGD58OObOnYvhw4fDwcFBK88vbIgYhoGFhQUsLCwwY8YMAH/vAo6Pj8etW7dw48YNCAQCnDx5EsDfGy1GjRoFZ2dnODs7w8rKio5N4QmFOUI0oCbMKbKTNTo6Go6Ojkp/cxQI/j7pRx1h7vTp05BKpfjoo484b1tZgYGBOHXqFL7++muF7r4lmlNRUYGwsDBcunQJ/v7+ePDgAQDA3t4eK1asgKurK4YOHQoDAwN+CyW19PT00L9/f/Tv3x/Lly+vHb27ceMGQkNDERwcjHPn/j5UwszMDM7Ozhg7dizGjBmj0LWFRDU0zUqIBnz88cc4d+4ccnJy5ApnRUVFaN26NTZu3IiNGzcq1ef48eNx//59pKSkKPX+m7Asi379+sHAwACRkZGctq2s4uJiWFtbw8DAALGxsRQGtEhJSQmuXLmCs2fP4tq1ayguLoahoSFcXFzw/vvvY8KECejYsSPfZRIlsSyL9PR0BAcHIzg4GEFBQcjJyQHw9/mYY8eOxbhx4zBo0CC1HI/UENE0KyFaKiEhATY2NnKPsolEIrAsiwEDBijVX3l5OcLCwrBo0SKl3n8bsViMhIQE/Pzzz5y3rawNGzbg4cOHuHHjBgU5LVBaWoqrV6/i7NmzuHTpEkpLS9GhQwd4enrC3d0dzs7OtGGhgWAYpvY8Oy8vL8hkMsTExODatWsICAjA1q1bsWnTJhgZGWH8+PF4//33MW7cODr7kWMU5ghRM5ZlkZiYqNCUZFRUFAAovZP11q1bKCsrw5gxY5R6/22OHj0KfX19TJ8+nfO2lREbG4uffvoJS5YswdChQ/kup9GSyWQICQnBsWPH8Pvvv6OkpAQdOnTAnDlzMHXqVAwbNkyr1lcS9dDR0amdlt2wYQMKCgogFApx+fJlXLp0CWfOnEGTJk0wYsQIvP/++5g8eTK6dOnCd9n1XoMNcwzDuANwt7S05LsU0sg9evQIRUVFCq2Xi4qKQrdu3dCuXTul+gwMDISenh5GjBih1PtvUl5ejlOnTmHKlClo06YNp20rQyaTYenSpTA2NsYPP/zAdzmNUmpqKo4dO4aTJ0/i0aNHaN26NWbOnInp06dj+PDhdFZZI9e6dWt4eHjAw8MDUqkUkZGR+PPPP/Hnn3/i008/xaeffoqBAwfWPtO9e3e+S66XGux2L5Zl/VmW9WrdujXfpZBGrmbNmiJ3skZGRio9xQr8HeaGDh2KFi1aKN3G61y8eBH5+fmYN28ep+0q6/jx47h9+za8vb21Ilw2FmVlZThx4gSGDh2KXr16YevWrbCxsYGvry+ePHmCgwcPwtnZmYIc+QddXV0MHjwYmzdvRlJSEtLS0rB582ZIpVKsWbMGFhYW6N+/P7Zs2YL79+/zXW690mDDHCHaoibM9erVS67nnz17hszMTKWnWLOzsxEbGwtXV9e6H1bQkSNH0KVLFzg7O3PetqJevHiB1atXY/DgwVq1q7YhS05OxmeffYZOnTrho48+Qk5ODrZv346//voLly9fxrRp02gtHJFbjx49sG7dOkRFRSEjIwPbt2+Hnp4e1q9fj+7du2Pw4MHYu3cvsrOz+S5V61GYI0TNJBIJ2rRpI/c2/ZodogMHDlSqv8DAQADA2LFjlXr/TTIzMyEQCDB//nytWPu0bt065OXlYf/+/XSmnBpVV1fDz88Pw4YNQ9++ffHzzz9jzJgxCOSjurUAACAASURBVA4ORkpKClauXEm7UYnK3nnnHaxcuRIRERF48OABtmzZgrKyMixfvhxmZmZwdXXF8ePHUVJSwnepWom+AxKiZikpKejVq5fcO1nv3LkDXV1dODg4KNWfUChEu3btXntPoyqOHz8OAFoxxXr79m0cOnQIn332Gfr168d3OQ1SXl4etm3bhu7du2P69Ol4/Pgxtm7diqysLPj6+mLUqFF0QCxRC3Nzc6xduxaxsbFITEzE+vXrkZ6ejjlz5qBjx46YN28eQkNDIZPJ+C5Va9A5c4SoWceOHeHm5obDhw/L9fzYsWNrp0oVxbIszM3NMXDgQPz2228Kv/+2dnv16gUzMzOEhIRw1q4yqqqq0L9/f+Tl5UEikXC+LrCxu3v3Ln788Uf4+PigpKQEI0eOxOeffw43NzetGJEljRPLsrh58yZ8fHzw22+/oaioCN26dcOcOXMwf/58dO3ale8SOaPMOXM0MkeIGuXl5SE7O1vu9XIymQyRkZFKT7FmZGTg0aNHGDVqlFLvv4lIJEJaWho8PT05bVcZe/bsQUJCAvbs2UNBjkMJCQmYMWMGevXqhUOHDuGDDz5ATEwMQkJC8P7771OQI7xiGAbDhg3D4cOH8fTpU5w8eRKWlpb47rvv0K1bN4wfPx6///47qqqq+C6VFxTmCFEjRTc/pKenIz8/X+mdrDWjZlyHuVOnTqFp06bw8PDgtF1FPXr0CBs3bsSECRMwadIkXmtpKMLDwzFx4kTY2tri0qVLWL16NTIzM+Hj4wM7Ozu+yyPkX5o1awZPT08IBAJkZGTgyy+/REJCAjw8PNClSxesX7++0e2GpTBHiBpJJBIA8h9LIhKJAPx9DY4ygoKCYGpqKnd4lEd1dTVOnz4Nd3d33o//WLVqFaRSKfbu3UvrtVTAsiyCgoIwYsQIDBkyBLdu3cI333yDzMxMbNmyhTY0kHqjW7du+O677/DgwQP4+/tj4MCB8Pb2hoWFBSZMmICrV682irV1FOYIUSOJRAJ9fX1069ZNrufFYjGaNm2q0Jl0NViWRXBwMJydnTkNOoGBgXj27Blmz57NWZvKCAsLw9mzZ7F27Vq5/32Sf7tx4wZGjRoFFxcXZGRkYPfu3cjMzMTGjRvRtm1bvssjRClNmjTBhAkTcPHiRWRmZmLDhg2Ijo7Ge++9BysrK+zYsQMvXrzgu0y1oTBHiBolJyejV69ecq83EovFsLW1RdOmTRXuKykpCc+ePcPo0aMVfvdtTpw4AWNjY4wfP57TdhUhlUrx6aefomvXrlizZg1vddRnd+7cwZgxYzB8+HCkpqZi7969uHfvHj799FM0b96c7/II4Uznzp3x/fff4+HDhzhz5gxMTU2xatUqdO7cGUuWLKld/tKQUJgjRI0kEonco2wsy0IsFit9JElwcDAAcHqgb0FBAf744w9Mnz5dqYDJlUOHDiEuLg7bt29Hs2bNeKujPkpJScHEiRMxaNAgxMTEYPv27UhPT8eyZcugr6/Pd3mEqE3Tpk0xffp03LhxA7GxsZgxYwaOHj2K3r1747333oNAIEBDOdGDwhwhalJaWooHDx6gd+/ecj3/4MED5OXlqbRezsLCAubm5kq9/zrnz59HeXk5r1OseXl5+PLLLzFixAh88MEHvNVR3zx79gzLli2DtbU1QkND8cMPPyAjIwMrV66kQEwanX79+uHw4cN4+PAhvv32W4jFYowZMwa2trbw8fFBZWUl3yWqhMIcIWqSkpIClmXlDnM1mx+UGZmrrq5GaGgo59dsHTt2DFZWVirdE6uqL7/8Enl5edizZw9tepBDSUkJfvjhB1hYWOCXX37BokWLcPfuXWzYsAEtW7bkuzxCeNWhQwd8/fXXtTu2dXR0MG/ePHTv3h07duxAYWEh3yUqpcGGOYZh3BmGOVhQUMB3KaSRSk5OBgD07dtXruejo6Ohp6cHGxsbhfuKiopCYWEhp/expqen4/r165g7dy5vIUosFmP//v1YtmwZbG1teamhvpDJZDh27Bh69OiBr776Cq6urkhKSsL+/fvlvkqOkMZCX18fc+bMQWxsLK5evQorKyusWrUKXbt2xRdffIGnT5/yXaJCGmyYY1nWn2VZr9atW/NdCmmkkpKSoKenB0tLS7mej46Ohq2trVLrmIRCIRiG4XRk7vjx42AYhrcpVplMhqVLl6J9+/b49ttveamhvhCJRBg6dCjmzp2Lrl274ubNm/j999/Rs2dPvksjRKsxDINx48YhODgYd+7cgYuLC7Zs2YJu3brhP//5Dx49esR3iXJpsGGOEL4lJSXBysoKenp6dT7LsixEIpHS6+WEQiEcHBxgbGys1PuvqhnlcXV1RefOnTlpU1E+Pj6IiIiAt7c3jIyMeKlB2+Xm5mLx4sVwcnJCRkYGfHx8cPv2bQwdOpTv0gipdwYMGIBz584hNTUVs2bNwi+//AILCwt4eXkhIyOD7/LeisIcIWqSnJws907WjIwM5Ofnw9FRoev4AADFxcUIDw+Hi4uLwu++SVhYGDIzMzF37lzO2lREUVER1q9fjyFDhvB+vp02kslk+OWXX9CjRw/8+uuv+Oyzz5CWloY5c+ZAR4e+rROiipqvq3v37mHRokW1a4fnzJmDtLQ0vst7LfqqJ0QNSktLkZGRIXeYi46OBqDczQ/Xr19HVVUVp+fLHT16FK1ateLtyqwtW7bg2bNn2LVrF4WTVyQmJuLdd9/FkiVLYGdnh7i4OOzcuRO0pIQQbpmbm2Pfvn24f/8+li9fjt9++w29e/fG3LlzkZ6eznd5/0DfJQlRg5qdrNbW1nI9HxUVBX19faU2PwQGBsLAwADvvvuuwu++TnFxMc6fP48ZM2bA0NCQkzYVkZmZiR07dsDT05PXXbTapqysDF988QXs7e1x9+5dHD9+HEFBQXJvsCGEKMfMzAw7d+7E/fv38dlnn8HPzw89e/bEokWLkJmZyXd5ACjMEaIWiYmJAKBQmLOzs5Nrfd2rAgMDMXz4cM6C18WLF1FaWopZs2Zx0p6i1q1bBx0dHWzevJmX/rWRUCiEjY0NNm/ejFmzZkEikWD27Nl0VAshGmRiYoIdO3YgIyMDn3zyCY4fP44ePXpgyZIlePz4Ma+1UZgjRA2SkpLQtGlTuXaySqVSiMViODk5KdxPVlYWJBIJxowZo0yZr3X69Gl07doVQ4YM4axNeYWHh8PX1xerVq1Cly5dNN6/tiksLMSCBQvg6uoKHR0dBAUF4ejRo2jXrh3fpRHSaJmammLPnj1IT0/HggUL8Ouvv8LS0hLr169Hfn4+LzVRmCNEDZKSktCzZ080adKkzmdTU1NRXFys1OYHgUAAAJyFuefPnyMgIAAzZszQ+Fo1mUyGzz//HKampnT/Kv6+ns3GxgY+Pj5Yv3494uPjOT8UmhCivM6dO2P//v1ISUnB5MmTsWXLFnTv3h3e3t4oKyvTaC0U5ghRg8TERLnXMkVFRQGAUiNzgYGB6Nixo9zTuXU5d+4cpFIpZsyYwUl7ivD19cWdO3fw3//+Fy1atNB4/9qiuLgY//nPfzB69GgYGBjg1q1b2LRpEwwMDPgujRDyGhYWFjh16hRiYmIwaNAgrF27FpaWljhy5AikUqlGaqAwRwjHioqKkJmZKfdmhsjISLRs2VLhA16lUikEAgFcXV05Wzt16tQp9OnTR+O3LZSUlGDNmjVwcHDAnDlzNNq3NgkJCYGtrS327duH5cuX1/5wIIRoPzs7O1y5cgWhoaHo0qULFixYAAcHh9oZFHWiMEcIx5KSkgDIv/khMjISjo6O0NXVVaifuLg45ObmYuzYsQrX+DoZGRm4desWLwvrN2/ejL/++gt79+5tlEeRVFZWYvXq1XB2dkaTJk1w/fp1/Pjjj2jWrBnfpRFCFDRixAiEh4fDz88PRUVFGDNmDMaPH1+7MU4dGt93TULUrOYLVp6RufLycsTFxSl1BEdISAgAYNSoUQq/+zqnT58GAMycOZOT9uR1//59bN++HbNmzeJl0wXf0tLSMHjwYGzfvh2LFy9GbGwsZ8fMEEL4wTAMpk6dColEgh07diAiIgL9+vXDokWLkJ2dzXl/FOYI4VhCQgKaN28Oc3PzOp+Ni4tDVVWVUmEuNDQUVlZWMDMzU6bMf2BZFidPnsSIESPQtWtXldtTxIYNG6Cjo4MtW7ZotF++sSyLI0eOwN7eHg8ePMCFCxewf/9+Go0jpAHR19fHihUrcO/ePfznP/+Bj48PevToge3bt6OyspKzfhpsmGMYxp1hmIMFBQV8l0IamZrND/JMF0ZGRgIABg4cqFAf1dXVuH79OkaOHKlMif8iEolq7yPUpNjYWJw5cwaff/45OnXqpNG++fTixQtMmzYNCxYswMCBAxEfH8/bbRuEEPUzNjbG7t27kZiYiOHDh2P16tWwtrbGpUuXwLKsyu032DDHsqw/y7JedMUN0SSWZZGQkCD35oc7d+7AzMxM4SATExODwsJCzqZYjx8/Dn19fXzwwQectCevNWvWoG3bto3qKJLIyEg4ODjgwoUL2LJlCwQCQaMKsoQ0Zj179sSlS5dw9epV6Orqwt3dHW5ublB14KnBhjlC+JCdnY3nz58rFOYUHZUDgKCgIADcrJerrKzEmTNnMHHiRBgZGancnrwCAgIgEAjw1VdfNYp7RVmWxd69e2vXw926dQtr165VeOMLIaT+GzduHOLj47Fjxw4AQKtWrVRqj8IcIRxKSEgAALmO9sjJycG9e/eUOnoiODgY1tbWMDExUfjdV129ehU5OTn46KOPVG5LXlKpFKtXr0b37t3xySefaKxfvhQWFmLatGlYvnw5xo4dC7FYTPfOEtLI6enpYcWKFbh8+bLKJwhQmCOEQzVhTp6ROWXXy1VUVODmzZsYPXq04gW+xvHjx2FiYsLZESfy9pmQkIDNmzejadOmGuuXD/Hx8XB0dMTvv/+OrVu34uLFi2jbti3fZRFCtAQXR0FRmCOEQ/Hx8TA1NZXr7sw7d+5AR0cH/fv3V6iPiIgIlJWVcXK1U25uLvz9/eHp6SnX1WNcKC0txVdffYWBAwfiww8/1EiffPHz88OgQYNQXFyM4OBgrFmzplGeo0cIUS/6rkIIh5KTk9GnTx+5no2MjETfvn0VvroqKCgIOjo6GDFihDIl/oOfnx+qqqo0OsW6a9cu/PXXX9i2bZvGDyfWFKlUivXr12P69Ono378/YmJiMHz4cL7LIoQ0UBTmCOEIy7KQSCRyhTmWZSESiRQelQMAoVAIJycnTjYNnD59GtbW1ujXr5/KbcnjyZMn2Lx5M6ZMmYJhw4ZppE9Ne/HiBdzc3LBlyxZ4eXlBKBRysraREELehMIcIRzJyspCcXGxXGEuKysLz58/VzjMFRQUIDIyEi4uLsqWWevhw4e4desWZsyYoXJb8vryyy9RVVUFb29vjfWpSQkJCXByckJwcDAOHDiAAwcOQF9fn++yCCENHIU5QjiSnJwMAHKFOZFIBAAKh7mwsDBIpVK4uroqXuArzp49CwCYNm2aym3JQyKRwMfHB8uWLYOFhYVG+tSkCxcuYPDgwSgrK0NYWBi8vLz4LokQ0khQmCOEIxKJBADQu3fvOp8ViUTQ0dFReHpTKBSiWbNmSh1n8ipfX184OTlpLFh9/fXXaN68OdavX6+R/jSFZVns3LkTHh4esLa2RnR0NAYPHsx3WYSQRoTCHCEcSU5ORrt27dC+ffs6nxWJROjbt6/C93AKBAIMHz5c5am7u3fvQiQSaWyKNSYmBufOncPnn38u107f+qK6uhrLli3DypUr4eHhgZCQEE7uyiWEEEVQmCOEI8nJyXKNyim7+eHRo0dISUnhZL3cmTNnwDAMpk6dqnJb8li/fj3atm2LFStWaKQ/TSgoKICbmxt+/vlnrFq1Cn5+fjA0NOS7LEJII9RgwxzDMO4MwxxU9b4zQuTBsiySk5PRt2/fOp/NysrCs2fP4OTkpFAfAoEAADBmzBilaqzBsixOnTqFkSNHauRO0JCQEAQEBOCLL75oMNd2ZWRkYMiQIQgODsavv/6Kbdu20flxhBDeNNjvPizL+rMs69VQfngQ7fb06VPk5eXJFeaioqIAAI6Ojgr1IRAI0LFjR1hbWytVYw2RSIS0tDTMnDlTpXbkwbIs1q1bh86dO2Pp0qVq708ToqKiMHDgQDx58gSBgYFYsGAB3yURQho5zRz5TkgDp8hO1ujoaDRp0kSu+1tryGQyCAQCuLm5qXzQ7unTp9G0aVN4eHio1I48Lly4gMjISBw+fBgGBgZq70/dBAIBJk+eDBMTE1y9ehVWVlZ8l0QIIQ13ZI4QTUpKSgIAuUbmoqOjYWNjo1C4iYmJQW5urspTrFKpFL6+vnjvvffQpk0bldqqS3V1Nb744gv07t1bozdMqIufnx/c3NxgYWGBmzdvUpAjhGgNCnOEcCApKQlt27ZFhw4d3vocy7KIjo5WeIo1MDAQAFTe/BAcHIwnT57A09NTpXbkcfToUaSmpuK///2vxu59VZddu3Zh+vTpGDRoEMLCwmBqasp3SYQQUovCHCEcSEpKgrW1dZ1ToOnp6cjLy8OAAQMUaj8oKAi2trYqXwt14sQJtG7dGhMmTFCpnboUFxfj66+/xtChQzFp0iS19qVOMpkMK1euxIoVK+Dh4YHAwEAYGRnxXRYhhPwDhTlCVMSyLBITE+XamBAZGQkACu1kraiowK1btzBq1CilawSAkpIS/P7775g6dara16/t2bMHT58+xbZt21Re48eXqqoqzJ49Gzt37sTy5cvh5+fXINb9EUIanvo990GIFvjrr79QUFAg905WQ0NDuZ6tERkZifLycpXD3IULF1BSUoLZs2er1E5dCgsLsX37dkyYMKHe3oRQWVmJ6dOn48KFC9i8eTPWrl1bb0MpIaThozBHiIoSExMBQO6ROQcHB4XWkIWEhIBhGAwfPlzpGoG/p1i7deuGoUOHqtROXfbs2YO8vDxs3LhRrf2oS3l5OTw8PHDlyhX8+OOPWL58Od8lEULIW9E0KyEqkncna1VVFWJiYhQ+LDgkJAR2dnYq7T7Nzs6GUCiEp6enWg+3LSgowM6dO+Hu7q7wJg9tUFRUBDc3N1y9ehUHDhygIEcIqRcozBGiooSEBJiamsLY2PitzyUmJqKsrAwDBw6Uu+2ysjKEh4fD2dlZpRrPnz8PmUyG6dOnq9ROXXbu3Im8vDx8++23au1HHV68eAEXFxeEhYXh2LFj8PLy4rskQgiRC+/TrAzDfAAgH0B3lmUPvubv8wBEAxCwLOstzzuEaJK8mx/u3LkDAAqFudu3b6OiokLlMOfn54c+ffqofHvE2+Tk5GDnzp344IMPYG9vr7Z+1CE7OxsuLi64e/cuzp8/j4kTJ/JdEiGEyI3XkbmXoQwsywpf/vl1h2h9yLKs6ytBrq53CNEIqVSKpKQk2NjY1PnsnTt30L59e3Tr1k3u9oODg6Grq4thw4YpXePjx49x48YNTJs2Tek25OHt7Y2SkpJ6Nyr37NkzODs7IyMjA1euXKEgRwipd/ieZnUCkPHy9xkAHF7zjBHDMN0VfIcQjUhPT0d5ebncYW7gwIEK7YoMDg7GgAED0LJlS6VrPHfuHFiWxdSpU5Vuoy5PnjzBTz/9BE9PT7muNNMWOTk5cHFxwf3793H58mWVR0AJIYQPfIe5V0/ffN2io7YAXjAMc0DedxiG8WIYJpphmOjnz59zUCYhryfvTtaCggKkpKQodFhwYWEhoqKiMHr0aJVq9PPzg62tLXr16qVSO2+zadMmVFZW4ptvvlFbH1zLzc2Fq6sr7t69C39/f4wcOZLvkgghRCl8h7l8/B3W3ohl2YMsy+YDyP+ftXLyvOPIsqxj+/btuauWkFckJCSAYZg6R6OioqLAsqxC6+WuX78OqVSq0mjRw4cPcfv2bbVOsd6/fx8HDhzA/PnzYWFhobZ+uPT8+XM4OztDIpHgjz/+UDkwE0IIn/gOc1H4/5G27gAE//uXL0fYXp1Gfes7hGhSfHw8evTogWbNmr31ufDwcDAMo1CYEwqFMDQ0VOngXV9fXwBQ6y7WjRs3QldXt96cK1ezRi4tLQ3+/v4YO3Ys3yURQohKeA1zLMueA9D95SYGo//Z1FAT0M6+/HPNpodzb3qHED7Ex8fD1ta2zuciIiLQp08ftG7dWu62BQIBhg0bptIVUmfOnMHAgQPRvXv3uh9WQlpaGk6dOoVly5ahU6dOaumDSzXHj6Snp+PSpUtwdXXluyRCCFEZ3yNzYFnWm2VZYc1u1Zefc335az7LsuKXIW7t294hRNNKSkqQnp5eZ5hjWRYREREYNGiQ3G0/fvwYycnJcHFRfrO2RCJBbGwsZsyYoXQbddm8eTP09fWxevVqtfXBleLiYri5uSE1NRV//vknTa0SQhoM3sMcIfVVUlISWJatM8zdu3cPL168UGiKNSgoCABUCnNnzpwBwzD48MMPlW7jbe7fv48TJ07Ay8sLHTp0UEsfXKmoqMCUKVMQGRkJX19flf69EkKItuH90GBC6qv4+HgAqPNYEpFIBAAKXeMlFAphbGyMfv36KVUby7I4c+YMRo4cCTMzM6XaqMuWLVugq6ur9aNyVVVVmDZtGgQCAXx8fDB58mS+SyKEEE7RyBwhSoqLi0PLli3rPARYJBJBX1+/zrtba7Asi8DAQLi4uCh9j2pkZCTu3buHWbNmKfV+XTIzM3HkyBEsWrRIq9fKSaVSzJ49GxcvXsTevXsxZ84cvksihBDOUZgjRElxcXGwtbWtM3BFR0ejX79+0NPTk6vdxMREPH36FGPGjFG6tlOnTkFfXx8eHh5Kt/E2//3vf6Gjo4N169appX0uyGQyLFy4EH5+fvD29sayZcv4LokQQtSCwhwhSmBZVq6drDKZDGKxGP3795e7bYHg783cyu60rKqqgq+vL9zd3RXaPSuvBw8e4OjRo1i0aBE6d+7MeftcWbt2LXx8fPDNN99o/VQwIYSogsIcIUrIzMxEQUFBnWva7t27h8LCQoXCXGBgIHr16oUuXbooVZtQKMTz58/h6emp1Pt12bRpk9aPyu3Zswfbt2/HsmXL8PXXX/NdDiGEqBWFOUKUUHONV12bH6KjowEAjo6OcrVbXl6OsLAwlaZYfX19YWRkhPHjxyvdxpvUh1G5c+fO4bPPPsPkyZOxe/duhe7CJYSQ+ojCHCFKSEpKAoA6r/GKjo6GgYGB3JfP37lzB+Xl5UqfgVZRUYGLFy9i4sSJ0NfXV6qNt/n++++hq6urtaNywcHB8PT0xJAhQ3Dq1Cno6uryXRIhhKhdgw1zDMO4MwxzsKCggO9SSAOUnJwMMzMzGBkZvfW5qKgo2Nvby735ITQ0FDo6Ohg+fLhSdQmFQhQUFKjlbLm7d+/i2LFjWLx4sVaOyonFYkycOBFWVlbw9/eHoaEh3yURQohGNNgwx7KsP8uyXupYAE5IUlJSnUeNVFdXQywWK3S+XEhICOzt7esMiW/y22+/oXXr1mq5pmrz5s3Q09PTylG5u3fvYty4cTA2Nsa1a9fQpk0bvksihBCNabBhjhB1kclkkEgkdYY5iUSC0tJSucNceXk5IiIiMHLkSKXqqqysrJ1ibdq0qVJtvMmjR49w8uRJLFy4EB07duS0bVXl5uZi/PjxtefzafO5d4QQog50AwQhCsrMzERpaWmd6+CioqIAyH/zQ0REBCoqKpQOc0KhEPn5+WqZYt25cydkMhlWrVrFeduqqKyshIeHB7KyshASEgIrKyu+SyKEEI2jMEeIgmo2P9Q1MhcVFYVWrVqhR48ecrUbEhICHR0dDBs2TKm6zp49q5Yp1pycHBw8eBAzZsyAubk5p22rgmVZeHl5ISwsDCdPnsTgwYP5LokQQnhB06yEKKjmWJK6wlxkZCScnJzkvpIrODgYjo6OSh30W1FRgT/++AOTJ0/mfBfr7t27UVZWhvXr13Parqq+//57HDt2DN9++63aztQjhJD6gMIcIQpKSkpCly5d3hq6ysrKEB8fjwEDBsjVZklJCSIiIuDs7KxUTQEBASgoKMC0adOUev9N8vPzsXfvXnh4eMh9vIomnDx5Ehs3bsScOXPw1Vdf8V0OIYTwisIcIQpKTEysc1QuNjYW1dXVGDhwoFxt3rx5E9XV1UqHOV9fXxgbGyt9Pt2b7Nu3D4WFhfjiiy84bVcVYWFhmD9/PkaNGoWDBw/SocCEkEaPwhwhCqiuroZEIoG1tfVbn4uMjAQAuUfmgoODoaenh6FDhypcU2lpKf78809MmTJF7vPs5FFcXIxdu3bBzc0N9vb2nLWrirt372Ly5MmwtLTE+fPnOd+1Swgh9RGFOUIUkJ6ejoqKijpH5u7cuYNOnTrB1NRUrnaDgoIwaNAgNGvWTOGarly5gpKSEs6nWA8cOIDc3Fxs2LCB03aVVVhYiIkTJ0JXVxeXL1+ms+QIIeQlCnOEKCAhIQFA3Xey3rlzB4MGDZKrzRcvXkAsFsPFxUWpmk6fPo2OHTsqfaTJ65SWlsLb2xujR4/Wil2iMpkMs2bNQlpaGs6ePYt33nmH75IIIURrUJgjRAEJCQnQ0dF562aA58+fIyMjQ+71ciEhIWBZVqkwl5+fjytXrmDatGmc3kN64MABPHv2DBs3buSsTVV89dVX8Pf3x48//ohRo0bxXQ4hhGgVCnOEKCAhIQGWlpZvvffzzp07ACD3yJxQKESLFi0UuvarxoULF1BRUYGZM2cq/O6bVFRUwNvbG6NGjVL6zDsu+fn5YdOmTVi0aBE++eQTvsshhBCtQ4cGE6KAhIQE9OvX763PREREQFdXF/3795erzaCgIIwcOVKpzQunT5+GhYWFUkHwTU6dOoWnT5/ixIkTnLWpLLFYjHnz5mHo0KH46aefaOcqP6OC3wAAIABJREFUIYS8RoMdmWMYxp1hmIMFBQV8l0IaiNLSUqSnp8u1Xs7W1lauzQwPHz7E3bt3lTpS5NmzZwgODsaMGTM4CzkymQw7duyAnZ0d58ecKCo7OxuTJk1Cu3btaOcqIYS8RYMNcyzL+rMs66XMafqEvE5ycjJYln1rmJNKpQptfhAIBACg1Hq5P/74AzKZjNO7WC9fvozk5GSsWrWK11GwyspKTJkyBTk5Ofjjjz9gYmLCWy2EEKLtaJqVEDnFx8cDAGxtbd/4THJyMoqKiuTeASoQCGBqalrnUSevc/78eVhaWtY5UqiIrVu3wtzcHFOnTuWsTWWsWbMGt2/fhq+vLxwcHHithRBCtF2DHZkjhGvx8fFo1qwZunfv/sZnwsPDAUCuMCeTySAUCuHq6qrwKFheXh6Cg4Ph4eHB2QjarVu3cOvWLaxYsYLTw4cVdfbsWfz444/49NNPOT87jxBCGiIKc4TIKT4+HjY2NtDRefOXTXh4ONq1awcLC4s624uJiUFubi7GjBmjcC1//vknqqur4eHhofC7b7J161YYGxtjwYIFnLWpqJSUFCxYsACDBw+Gt7c3b3UQQkh9QmGOEDmwLIv4+Pi3TrECQHR0NJycnOQaLQsMDASg3Hq58+fPo0uXLnB0dFT43ddJTk6Gv78/li1bhubNm3PSpqKKi4vh4eEBAwMDnD17ljY8EEKInCjMESKHx48fIzc3963r00pLS5GcnCz3kSTBwcGwsbFReHF/YWEhAgMDMWXKFM6mWL29vWFoaIhly5Zx0p6iWJbFggULIJFIcObMGXTu3JmXOgghpD6iMEeIHOLi4gDgrWfMxcbGQiaTyXXmW2VlJW7fvq3UbQb+/v6oqKjgbJPCgwcPcPLkSXz88cdo164dJ20qaseOHTh79iw2bdqk9LVmhBDSWNFuVkLkUBPm3jbNGh0dDQByTX1GR0ejtLQUI0aMULiWs2fPolOnTnIff1KXbdu2QUdHBytXruSkPUWFhoZi7dq18PDwwNq1a3mpgagXy7KoqqoCy7LQ1dWFrq4uHQBNCIcozBEih7i4OJibm8PIyOiNz0RHR8PU1BRmZmZ1thcaGgoAGD58uEJ1FBYWIiAgAIsXL37rRgx5PX36FIcPH8acOXN4mdrMycmBp6cnLC0tcfToUfoBr6XKysqQlZWF7OxsZGdn49mzZ7W/5uXlobCwsPajqKgIRUVFqKysRFVVFSorKyGVSv/Vpo6ODnR1ddGkSRM0a9YMLVq0QPPmzdG8eXO0aNECrVu3Rrt27WBsbIx27drVfpiZmaFz585o164dJ18DhDQEFOYIkUNcXFyd13iJRCK5NySEhobCxsZG4WlNrqdY9+zZg6qqKl5GxGrWyeXk5ODSpUto2bKlxmsgf2NZFs+fP4dEIoFEIkFGRgYyMzPx4MEDZGZmIjs7+1/vMAyDtm3bwtjYGK1atULLli3xzjvvoFWrVmjRogX09fWhp6f3jw+GYSCVSms/qqurUVVVhdLSUpSUlKC4uLj213v37iEiIgK5ubmoqqr6V/96enro1KkTOnXqBHNzc1hYWMDS0rL2o3379vQ/B6TRoDBHSB3KysqQlpb21psWiouLIZFI5ApZlZWVuHXrFubPn69wLVxOsZaWluLAgQOYNGkSLC0tVW5PUfv27cOff/6JXbt2wd7eXuP9N1ZFRUWIjY2FWCxGfHw8UlJSkJqaitzc3NpnmjZtCnNzc3Tr1g3u7u7o1q0bunbtio4dO6JDhw4wMTFBu3bt0KSJ+n+EsCyLoqIi5Obm4vnz53j8+DGysrL+8XHr1i34+vpCJpPVvteyZUv07t0b1tbW6Nu3L/r27Qtra2uYmZlRyCMNDoU5QuqQkJAAmUwGOzu7Nz4jEonAsqxcmx+ioqJQWlqq8OaH/2PvvsOiura/gX8PIFVAbGABxE4RFbALClixY48YNSHGlthjYm5s0TfGeqNGje0a9CqxIwFFpYggUqWLCEiJKCIICEib2e8fOvy8OuXMDMOBmf15Hp4Lc2bvvcJNYLHL2iUlJbh58yaWLVvWIMtLXl5eKC4uxqpVq+TuS1oxMTFYu3YtJkyYgJUrVzb6+KqiuroacXFxCA8PR0xMDB4+fIgnT56AEAIAaNeuHaysrDB9+nRYWlrWf3Tu3LnJLGEyDAMDAwMYGBjAwsJC5Puqq6uRnZ2NzMxMZGRk4MmTJ0hJScHff/+NU6dO1b+vdevWsLOzg4ODA+zt7WFvb48uXbrQBI9q1mgyR1ESxMfHA4DYZC46OhoAWCVzwcHBYBhG6sMP165dQ01NDebOnStVO2H4fD7279+PAQMGYPjw4XL3J42SkhLMmjULxsbG+PPPP+kv0QZUWlqKe/fuISwsDOHh4YiOjkZ1dTUAwNzcHP3794eHhwfs7OzQv39/dOjQQWm+/1paWujVqxd69er1ybPCwkKkpKQgOTkZCQkJiI2NxZ49e1BXVwfgXYI3ePBgDBs2DMOGDcOAAQOgq6vb2P8IFCUzpU3mGIaZBGASF8tHlHKJj4+HgYEBunTpIvI90dHRMDc3R7t27ST2FxQUhL59+6JNmzZSxeHt7Q0LCwtWCaMk/v7+SE9Px/nz5xv1lzkhBJ6ensjNzUVoaKjU3wPqf9XW1iIqKgq3b9/G7du3ERkZCR6PBw0NDdjb22P58uX1CYq09QyVSbt27TBy5EiMHDmy/rWqqiokJSUhNjYWMTExuH//Pvz9/QEAGhoasLOzg6OjI1xdXeHo6IiWLVtyFD1FScYIptuVlYODAxGUjKAoWQwbNgxqamq4d++eyPcIkqwLFy6I7auqqgqtWrXCsmXLsG/fPtYxvHr1CiYmJli/fj1++eUX1u1EcXFxQUZGBjIzMxv1HtZDhw7hm2++wa5du7B+/fpGG1eZFBUV4e+//4aPjw8CAwNRVlYGNTU1ODg4YPTo0XB1dcWgQYPozJIMioqKcP/+/fp7iqOiolBTUwMNDQ0MHjwYrq6ucHFxwZAhQzi9v5hSbgzDxBJCpLreR2ln5iiqIRBCkJKSInZps7CwENnZ2Vi2bJnE/iIiIlBdXQ0XFxep4rh8+TJ4PB7mzJkjVTthHj58iODgYOzevbtRfyGlpqZi3bp1cHNz46ymXXOVmZkJX19f+Pj4IDQ0FHw+H507d8bcuXMxevRouLi4wMjIiOswm702bdpg0qRJmDRpEoB3h4TCw8MRGBiIoKAg/Pzzz9i6dSsMDAwwevRouLm5wc3NDSYmJhxHTqk6msxRlBj5+fkoLS2FtbW1yPdIs18uKCgIampqcHR0lCqOS5cuoWfPnhLvhmVj7969aNmyJTw9PeXui62amhrMmzcP+vr6OHXqVJPZXN+U5ebmwtvbG+fOnasvWm1tbY2NGzdi6tSpsLOzU5r9bk2Vrq4uRo8ejdGjRwMAXr9+jZCQENy4cQP+/v64fPkyAMDe3h6TJk2Cu7s7bGxs6P8vVKOjyRxFiZGSkgIAsLGxEfmeqKio+mUuSQIDAzFgwAAYGhqyjkHwC2Tt2rVy/5LIycmBt7c3Vq5cKbYAckPbtGkT4uPj4ePjo9J7tyQpLCzExYsXce7cOYSHhwMABg0ahH379mHKlCno2rUrxxGqNiMjI0ybNg3Tpk0DIQSJiYnw8/ODn58ftm7dii1btqB79+5wd3eHu7s7BgwYQP9woRoHIUSpP+zt7QlFyWrv3r0EAHn58qXI94wbN4706dNHYl+lpaVEXV2dbNy4UaoYvLy8CADy4MEDqdoJs2rVKqKhoUFyc3Pl7outkJAQwjAMWbx4caON2ZzU1dURf39/4u7uTjQ0NAgAYmVlRbZv304yMjK4Do9i6cWLF+SPP/4gY8eOrf//sXPnzmT16tUkOjqa8Pl8rkOkmgkAMUTKXIfzZEvRHzSZo+TxxRdfkPbt24t8zufzSevWrcmXX34psS9fX18CgAQGBkoVw7Rp00jHjh0Jj8eTqt3HiouLiZ6eHvHw8JCrH2m8fv2amJqakh49epDy8vJGG7c5yM7OJps3byampqYEAGnbti1Zs2YNSUhIoL/4m7ni4mLi5eVFJk+eTDQ1NQkA0rNnT7JlyxaSnp7OdXhUEydLMkfnfylKjOTkZLFLrJmZmSguLsagQYMk9hUYGAhtbW0MHTqU9fiVlZW4efMmpk6dKvdyzZEjR1BRUdGop0iXL1+O/Px8nD17Fnp6eo02blNFCEFwcDAmT54MCwsLbNu2DZaWlrhw4QKePXuGvXv3wtbWlu65auaMjIwwf/58+Pj44MWLFzh+/Dg6deqErVu3omfPnhg4cCB+//13vH79mutQKSVBkzmKEoHP5yM1NVXs4YfIyEgAwMCBAyX2FxgYiGHDhkFbW5t1DLdu3cLbt28xdepU1m2Eqa6uxoEDBzB27NgGOUTBxn//+1+cO3cOmzdvZvX9UWZv377FyZMn0a9fP7i4uCAiIgI//vgjsrKyEBAQgJkzZ0JTU5PrMCkFMDIygqenJ4KCgpCXl4c9e/aguroaK1asQIcOHTB37lzcuXPnf64ioyhp0WSOokTIyclBeXk5+vTpI/I9kZGR0NPTEzt7BwAvXrxAUlJS/ak4tq5cuQIjI6P/KXYqiwsXLqCgoKDRSoJkZWVh6dKlGD58OH744YdGGbMpKigowMaNG9G5c+f608PHjx9Hbm4ufv75Z7GFqCnl06lTJ6xduxYJCQmIi4vD4sWLERAQgNGjR6Nr167Yvn07Xrx4wXWYVDNEkzmKEiE5ORmA+JOsDx48wIABA6Curi62r8DAQADAqFGjWI9fU1OD69evY8qUKXLXgzt48CB69+4t1fiy4vP5WLRoEdTU1PDf//63US5jb2pyc3OxYsUKdOnSBb/++itGjhyJkJAQxMfHw9PTEzo6OlyHSHGsf//+OHDgAPLz83H+/Hl0794dP/30E0xNTTFnzhyEhoa+29hOUSzQZI6iREhKSgIAkcusVVVViI+Px+DBgyX2dfv2bbRu3Rr9+/dnPX5QUBBKS0sxffp01m2EiYyMRHR0NFasWNEoe7GOHDmC0NBQ7Nu3D2ZmZgofryl5/PgxvvjiC3Tr1g3Hjh3DvHnzkJaWhsuXL2PEiBF0Lxz1CW1tbcyZMwd37tzB48eP8c033yAgIAAjRoxAnz59cPjwYVRUVHAdJtXE0WSOokRISkqCubk5DAwMhD5/+PAhamtrJR5+IITg9u3bcHV1leoQw+XLl6Gvry/10uzHDh48CH19fXz++edy9cNGdnY2NmzYgDFjxmDRokUKH6+pyMrKgoeHBywtLeHt7Y1ly5YhMzMTJ06cQI8ePbgOj2omevbsiX379uHZs2c4efIktLW1sXz5cnTu3Bnff/89/vnnH65DpJoopU3mGIaZxDDMsdLSUq5DoZqp5ORksfvlHjx4AAASk7nHjx8jPz9fqiXOuro6+Pj4YOLEidDS0mLd7mMFBQW4cOECFi1aBH19fZn7YYPP58PT0xMMw+D48eMqMQuVn5+P5cuXo1evXrhy5Qq+++47ZGdn47fffoOpqSnX4VHNlK6uLr744gvExMTg/v37GD16NHbv3g0LCwt89tlniI2N5TpEqolR2mSOEOJLCFksTaV9ihKoqalBWlqa2GQuIiIC5ubm6NChg9i+7t69CwBwdnZmPX5oaCgKCwvlXmI9cuQIamtrsXz5crn6YePo0aMIDAzEnj17lH559dWrV1i/fn39cuqXX36JjIwM7Ny5E+3bt+c6PEqJDBkyBBcuXEBmZia+/fZb/P3333BwcMCoUaMQFBRE99VRAJQ4maMoeaSlpaGurk5sGY+IiAgMGTJEYl93795Fhw4d0L17d9bjX7x4Ebq6uhg/fjzrNh+rqqrCkSNHMHHiRPTs2VPmftjIyMjA+vXrMWbMGCxevFihY3Gpuroau3btQteuXbF3717MnDkTaWlpOHr0KDp27Mh1eJQS69KlC/bu3Yu8vDzs2rULKSkpcHV1xZAhQ3D9+nVa2kTF0WSOooQQHH4QNTOXl5eHf/75R2IyRwhBaGgonJycWC871tXV4cqVK5g4cSJ0dXWlC/wD3t7eePnyJVauXClzH2zweDwsXLgQLVq0wMmTJ5VyeZUQgqtXr8LKygobNmzAiBEjkJycDC8vL3Tr1o3r8CgVYmhoiPXr1+Pp06c4cuQICgoKMGXKFPTt2xfnz58Hj8fjOkSKAzSZoyghEhMToampKXJGKyYmBoDk/XJZWVl49uwZRowYwXrs0NBQvHz5EjNnzmQf8EcIIfj3v/8Na2truLq6ytwPG/v370d4eDgOHTqEzp07K3QsLiQmJsLV1RXu7u7Q1tZGQEAAfH19YWVlxXVolArT1tbGkiVL8OTJE5w5cwZ8Ph+fffYZbGxs4O3tTWfqVAxN5ihKiMTERFhaWoqs7xYbGwt1dXWJtymEhoYCAJycnFiPLVhidXNzYx/wR+7evYuEhASsWrVKoTNlGRkZ+Ne//oWpU6di3rx5ChuHC6WlpVixYgX69++PhIQEHDp0CAkJCRgzZgzXoVFUPQ0NDXh4eCApKQkXL16Euro65s6diz59+uDixYs0qVMRNJmjKCESExPFHn6IjY2FtbW1xOKvd+/eRdu2bVnP4giWWN3c3ORaYt2/fz/atGmj0ASLEIKlS5dCU1MTv//+u9IsrxJCcPHiRVhaWuLw4cNYtmwZnjx5guXLl6tkAWSqeVBTU8OMGTOQmJgIb29vEEIwa9Ys2Nvbw8/Pjx6UUHI0maOoj7x69Qr5+fno27ev0OeEEMTGxsLBwUFiXyEhIVIVi71//z5evnyJWbNmSRXzh9LT0+Hr64tly5Yp9KaBs2fP4s6dO9i5c6fSbP5/+vQpJkyYgFmzZsHExASRkZE4ePAgWrduzXVoFMWKmpoaZs+ejaSkJJw9exZv3rzBxIkT4ezsjKioKK7DoxSEJnMU9ZHExEQAEJnM5eXlobCwEPb29mL7yc7ORk5OjlT3ql6/fh2ampoYN24c6zYfO3jwIFq0aIFly5bJ3IckhYWFWL16NYYMGYIlS5YobJzGUldXh19//RXW1ta4d+8e9u/fj6ioKAwYMIDr0ChKJurq6pg3bx4ePXqEQ4cOITU1FYMGDcKsWbOQkZHBdXhUA6PJHEV9RJDMidoPJzj8IGlmLiQkBABYJ3OEEPj4+MDZ2VnmAr8VFRXw8vLCjBkzYGJiIlMfbKxduxZlZWU4fvy4VLdaNEWPHj3C0KFD8f3332Ps2LFITU3FqlWr6JIqpRRatGiB5cuXIzMzE5s2bYKfnx8sLS2xYsUKvHr1iuvwqAbSvH8KU5QCJCQkwNjYGMbGxkKfx8bGQkNDQ+Lhh5CQEKn2yz1+/BgZGRmYPHmy1DEL/PXXXygrK1PobNnt27dx5swZbNiwQeS9tc0Bn8/Hvn370L9/f2RlZeHChQu4evUqvbmBUkr6+vrYunUrMjIy8OWXX+Lo0aPo3r079u/fj5qaGq7Do+TEeTLHMMwMhmFGMQzzSaVRhmFaMQxj9/49v37w+muGYW4zDPNd40ZLqYKEhASxiVpMTAxsbGygra0t8j2EkPr9cmxnrq5fvw4AmDRpknQBf+Do0aOwtLTE8OHDZe5DnIqKCixZsgQ9e/bEjz/+qJAxGkNGRgZGjhyJtWvXYsyYMUhOTparFAxFNRcdOnTA0aNHkZiYiMGDB2PNmjXo06cPbty4wXVolBw4TeYYhpkBAISQO++//vjyylkAHAghl94/FyR8MwkhowkhuxotWEol1NbWIiUlBf369RP6nBCCmJgYiUusT58+RU5OjlRXePn4+MDOzk7mmaGYmBhER0djyZIlCjtZ+tNPPyErKwvHjx8Xm8w2VYQQHD58GLa2tkhMTMSpU6fg4+Oj0CVpimqKrKyscPPmTfj5+QEA3NzcMGnSJLqfrpniemZuAICs959nAbD78CEh5Bgh5Nj7L7t+8N5WDMN0bZwQKVWSlpaGmpoakYcfsrKyUFxcLHFjfHBwMAD297EWFBQgIiICU6ZMkS7gDxw5cgS6urpYsGCBzH2IExkZiX//+99YunSpVHXzmori4mJMmzYNy5cvr7/BYdGiRUpTUoWiZOHm5oakpCTs3r0bISEhsLGxwdatW1FVVcV1aJQUuE7mWn30dRthb3qfuBULZvAAtAZQzDDMHyLev5hhmBiGYWIKCwsbLlpK6SUkJAAQfZI1OjoaAFglc8bGxrC0tGQ1rq+vLwghmDp1qhTR/p/Xr1/j/Pnz8PDwgKGhoUx9iMPj8bBs2TJ06NABO3fubPD+Fe3evXvo27cv/P39sW/fPvj7+yvlbRUUJQtNTU2sW7cO6enpmDZtGrZs2YI+ffrg9u3bXIdGscR1MleCd4mZJDMIIV8Lvng/Y1cCoESwVPuh988dCCEO7dq1a8BwKWWXkJAALS0t9OrVS+jzmJgYaGlpwcbGRmQfhBAEBQXB2dmZ9ayPj48PunTpIrZQsTh//vkn3r59i6VLl8rUXpKTJ08iLi4Oe/bsgYGBgULGUAQej4dt27Zh5MiR0NbWRkREBFavXk1n4yhKiA4dOuD8+fO4desWGIbBmDFjMGfOHOTn53MdGiUB18lcNP5vdq4rgE/+DGAYZoZgb9z7wxCLGYax+/h9FNUQ4uPjYW1tLfIar+joaPTr10/kc+Bd0d7nz5/DxcWF1Zjl5eW4ffs2pkyZIlOSwefzceTIEQwZMkTkXj95FBcXY+PGjXBycsKcOXMavH9Fef78OVxdXbF582Z89tlniIuLk1gbkKIoYPTo0UhMTMS2bdtw7do19O7dG4cPH6ZXgzVhnCZz7w82dH1/8KHVBwchbr//31EAfmUYJpZhmFi8m8W78P7ZjA/6oCi5EUKQkJAgcomVx+MhNjZW4hJrUFAQAPb75QICAlBdXS3zEmtgYCDS09MVViT4xx9/RElJCQ4ePNhsZrTCw8NhZ2eH6OhonD59GmfOnJG5dh9FqSJtbW389NNPSElJweDBg7F8+XI4OzvjyZMnXIdGCUMIUeoPe3t7QlFsPHv2jAAgBw4cEPo8KSmJACBeXl5i+5kxYwYxMzMjfD6f1bifffYZadOmDamtrZU6ZkIImTx5MmnXrh2pqqqSqb04UVFRhGEYsmrVqgbvWxH4fD75/fffiYaGBunWrRtJSkriOiSKavb4fD45deoUMTQ0JNra2mTPnj2krq6O67CUFoAYImWuw/UyK0U1GQ1x+IHP5yM4OBguLi6sZrFqamrg5+eHyZMny3TjQHZ2Nnx9fbF48WJoaWlJ3V4cwaEHY2NjbN26tUH7VoS3b9/iiy++wPLlyzFmzJj6eoAURcmHYRgsWrQIqampGDt2LNatW4ehQ4ciJSWF69Co92gyR1HvCX4wibrVICoqCgYGBujZs6fIPhITE1FUVARXV1dWYwYHB6O0tBTTpk2TPmC8K0eipqaGr7/+WvKbpXT8+HHExMRg7969Tf7QQ05ODoYPH47Tp09j8+bN8PX1RatWHx+WpyhKHh07dsTVq1fh7e2NrKws2NnZYffu3eDxeFyHpvJoMkdR76WmpsLY2Bht2gitkIPo6Gg4ODiIvdEhMDAQAFgffrh69Sr09PQwevRoqeOtqqrCiRMnMHXq1Aa/gqqwsBAbN26Es7Mz5s6d26B9N7To6GgMHDgQGRkZuH79OrZs2dLs74ulqKaKYRjMnj0bqampmDhxIr777js4OTnRYsMcoz/xKOq9lJQUkfeoVlVVITExkVV9uV69eqFjx44Sx+PxeLh27Rrc3Nxkuk3h2rVrKC4uVsg9rN999x3evHmDQ4cONelDD1euXMGIESOgq6uLyMhIua5CoyiKvXbt2uHSpUs4c+ZM/a05J06cwLstX1Rjo8kcReHdQaDU1FSRS6zx8fGora3FoEGDRPbB5/MRHh7O+naEiIgIFBQUwN3dXaaYT548CXNzc9azgGwJToCuWbNGZHLLNUIIdu3ahenTp6Nv37548OABevfuzXVYFKVSGIaBh4cHkpOTMWjQIHz11Vdwd3dHUVER16GpHJrMURSA3NxclJeXi9wwHxkZCQAYOHCgyD5SU1NRUlLC+pL7K1euQFNTExMmTJA63uzsbNy5cweLFi1q0CVFQgjWrVuH9u3b48cff2ywfhtSbW0tvvrqK2zYsAGzZ89GUFAQjI2NuQ6LolRW586dcfv2bezZswd+fn7o27cv7t69y3VYKoUmcxQFdocfOnXqhE6dOonsIywsDABYJ3N+fn5wcXGRqf7Z6dOnwTAMFi5cKHVbcXx8fBAaGoqtW7c2yUMPpaWlGDduHE6ePIl//etfOHfuHHR0dLgOi6JUnpqaGtauXYsHDx5AV1cXLi4u2LJlC+rq6rgOTSXQZI6iIDmZi4yMFDsrB7xL5kxMTGBhYSFxvMzMTKSnp8PNzU3qWHk8Hv7zn/9g1KhRMDc3l7q9KLW1tfjuu+9gaWkJT0/PBuu3oRQWFsLZ2RmhoaE4ffo0fv75Z3rQgaKaGDs7O8TGxmLevHnYunUrXFxckJeXx3VYSk9pfxIyDDOJYZhjpaWlXIdCNQMpKSno0KEDjIyMPnlWVFSEzMxMsfvlgHfJ3PDhw1kdGLhx4wYAYPz48VLHGhQUhNzcXHz55ZdStxXn6NGjePLkCXbv3i1TzTtFysvLg5OTE9LS0nD9+nUsWLCA65AoihJBX18fXl5e8PLyQlxcHPr16wd/f3+uw1JqSpvMEUJ8CSGLDQ0NuQ6FagZSUlLELrEC4vfL5eXl1dc6Y8Pf3x/du3dH9+7dpY71xIkTaN26NaZMmSJ1W1Fev36NLVu2wNXVVabZQkVKS0vDsGHDkJ+fj4CAAJkSYIqiGt/8+fPx8OFDmJmZYcKECdiyZQu931VBlDaZoyi2+Hy+2JOskZGRYBgGDg4OIvsQ7JdzdHSUOF6m62HqAAAgAElEQVRlZSWCg4NlOvjw6tUrXL16FZ9//rlM5UxE2bZtG0pKSrBv374mVYokJiYGw4cPR3V1Ne7evcvq+0tRVNPRo0cP3L9/HwsXLsTWrVsxceJEFBcXcx2W0qHJHKXycnJyUFlZKfIka1RUFKysrMQeVLh37x5atmwJW1tbieMFBwejqqpKpmTuzJkzqK2tbdAl1vT0dBw6dAhffvklq/gbS1BQEJydnaGvr4+wsDD069eP65AoipKBjo4OTp06hSNHjuDOnTtwcHBAfHw812EpFZrMUSovOTkZgOjDDw8fPoS9vb3YPsLCwjB06FBWe838/f2hq6vLuh6dACEEJ06cwODBgxv0ztF169ZBR0cHP//8c4P1Ka/AwEBMmDAB5ubmCAsLQ48ePbgOiaIoOTAMgyVLliA0NBQ1NTUYMmQIvLy8uA5LadBkjlJ5gpOswgrkvnjxAi9evED//v1Ftn/9+jWSk5NZ7ZcjhMDPzw+jRo2ClpaWVHE+ePAAqampDXrSNDAwEL6+vti4cWOTqdV29+5dTJo0Cd27d0dwcLDYcjAURTUvgwcPRmxsLAYPHowFCxbg22+/peVLGgBN5iiVl5KSgs6dO0PYYRnBUoC4Jb7w8HAQQljt53r06BFycnJkOmRw4sQJ6OnpYdasWVK3FYYQgh9++AFmZmZYtWpVg/Qpr9DQULi5uaFLly4IDAxEu3btuA6JoqgGZmxsjNu3b2P16tU4ePAgJk6cCFp5Qj40maNUXnJysshlSzbJXFhYGFq0aCGxDh3wrlAwAKmTubKyMnh7e2Pu3LkyFRkW5u+//0Z0dDQ2bdrUoIcpZBUWFgY3NzeYmZkhKCgI7du35zokiqIURENDA/v27cPx48cRGBiIoUOH4unTp1yH1WzRZI5SaTweD2lpaWL3y1lYWKBVq1Yi+7h37x7s7e2hq6srcTw/Pz/Y2trC1NRUqji9vb1RWVmJr776Sqp2ovD5fPz000/o1q0bPv/88wbpUx7h4eEYP348TE1NERwcDBMTE65DoiiqEXh6eiIgIAD5+fkYNGgQ7t+/z3VIzRJN5iiVlpWVhaqqKpHJXHx8vNhZubdv3yI6OprVEmtpaWn97JO0vLy8YG1tjQEDBkjdVpgrV64gISEBW7ZsQYsWLRqkT1lFRUVh3Lhx6NixI4KCgmgiR1EqxsXFBZGRkTA0NISzszPOnTvHdUjNDk3mKJUmOMkqbJm1vLwcT548EXv4ITo6GrW1taySuVu3boHH40ldkiQ7Oxvh4eHw8PBokBpwPB4PmzZtgqWlJebOnSt3f/J4/Pgx3Nzc0L59ewQHB6NDhw6cxkNRFDd69uyJBw8eYMiQIZg3bx62b98OQgjXYTUbTevOHopqZIKTrJaWlp88S0xMBCFE7MzcvXv3AADDhg2TOJa/vz+MjIwwePBgqWI8f/48AGDOnDlStRPF29sbjx49woULF6Curt4gfcri+fPnGDduHNTU1BAQEICOHTtyFgtFUdxr06YNAgIC4OnpiZ9++gn//PMPfv/9d05/TjUXNJmjVFpycjK6dOmCli1bfvJMcPhB3MxcWFgYrK2t0bp1a7Hj8Pl8+Pv7Y+zYsVLfe3ru3DkMGzYMXbp0kaqdMLW1tdiyZQv69u2L6dOny92frEpLSzF+/HgUFhYiJCREpmvNKIpSPlpaWvDy8kLnzp2xc+dOFBcX48yZM1KXclI1NJmjVJq4O1nj4+PRpk0bkXXOeDwe7t+/j88++0ziOHFxcXj58qXUS6xJSUlITk7GoUOHpGonipeXFzIyMnD9+nWoqXGzy6KqqgpTp05FSkoK/Pz8xF6TRlGU6mEYBr/88gvatm2LdevWoaSkBFeuXBH6Rzf1jtLumWMYZhLDMMdo7RpKlNraWjx+/Fji4QdR+9SSkpJQVlbGqliwv78/GIbB2LFjpYrx/PnzUFdXx8yZM6VqJ0x1dTW2bduGgQMHYuLEiXL3Jwsej4f58+cjJCQEp0+fxpgxYziJg6Kopm/t2rU4ffo0goKC4OrqiqKiIq5DarKUNpkjhPgSQhYLKwRLUQCQkZGB2tpaoclcXV0dkpKSWO2XY3P4wc/PDwMHDpSqCC4hBOfPn8fo0aMbpObaiRMnkJubi+3btzfIQQpZrFmzBpcuXcLevXsxb948TmKgKKr5WLBgQf3p+xEjRuD58+dch9QkKW0yR1GSCA4/CDvJmp6ejqqqKonFgk1NTWFmZiZ2nMLCQkRHR0u9xPrgwQNkZ2c3yInTqqoq7NixA05OThg1apTc/cni2LFjOHDgAFavXo01a9ZwEgNFUc3P5MmTcePGDeTk5GD48OHIzc3lOqQmhyZzlMpKTU0FwzDo3bv3J88Ehx/69u0rtC0hBGFhYaxOsQYHB4MQIvWS4vnz56GlpYWpU6dK1U6YM2fO4Pnz59i0aRMns3Lh4eFYsWIFxo0bh927dzf6+BRFNW/Ozs64c+cOioqK4OzsjLy8PK5DalJoMkeprJSUFFhYWAi9uSE+Ph6amppCEz0AyM3NRX5+Pqv9csHBwdDX14e9vT3r2Orq6nDhwgVMnDgRBgYGrNsJw+fzsXfvXtjZ2cHFxUWuvmTx7NkzTJ8+HV26dKnfA0hRFCWtQYMG4datW3j16hWcnZ3x7NkzrkNqMmgyR6ms1NRUWFlZCX2WkJAAa2trkbcjREZGAgCrmnEhISFwdHSUqiTJ3bt3UVBQ0CC15fz8/PD48WOsW7eu0WflqqqqMG3aNFRUVODatWtir0WjKIqSZODAgQgICMDLly/h7OyM/Px8rkNqEmgyR6mkuro6PH78WGwyJ2qJFQBiYmKgqamJPn36iB3n+fPnSEtLg7Ozs1TxeXt7o2XLllLvsxNm9+7dMDMza5ATsdIghGDJkiWIjo7GmTNnRH6vKYqipDF48GDcvHkTz58/h4uLCwoKCrgOiXM0maNUkriTrAUFBSgoKJCYzPXt2xeamppixwkJCQEAjBw5knVsNTU1uHz5MqZOnQodHR3W7YSJjIzEvXv3sHr1aqmLFcvr0KFD+PPPP7F58+YG2fdHURQlMHToUNy4cQN5eXkYNWoUXr16xXVInKLJHKWSUlNTAYi+xgsAbG1thbbl8/mIjY1ltQfu7t27MDAwEHuLxMdu376N169fY/bs2azbiLJv3z4YGhriyy+/lLsvaURERGDNmjWYNGkSNm3a1KhjUxSlGoYPHw5fX19kZGRg0qRJqKys5DokztBkjlJJaWlpACD0gIOkZC4rKwtlZWWskzlHR0epNv1funQJhoaGchfUzc3NxeXLl7F48WLo6+vL1Zc03rx5Aw8PD5iamuLMmTOc3TRBUZTyc3Fxwblz5xAZGYnPPvsMPB6P65A4QX/KUiopLS0NnTt3FprkJCUlwcTEBG3bthXaNi4uDgBgZ2cndoyXL18iLS0NTk5OrOOqqanBtWvXMGXKFIlLuJIIrgBbsWKFXP1Ia9WqVcjOzsaZM2dAi3ZTFKVo06ZNw4EDB+Dj44Nvv/0WhBCuQ2p09G5WSiU9fvwYvXr1EvosKSlJ7MGGuLg4tGjRQuQ1YAKCGyKkSebu3buHkpISuLu7s24jTHl5OY4dO4bp06dLLGrckK5cuYJTp07hxx9/ZFWDj6IoqiGsWLECubm52L17N8zNzfHdd99xHVKjojNzlErKyMhAjx49Pnm9rq4OKSkpIpdYgXfJXJ8+faClpSV2jLt370JXV1fiDN6H/Pz8oKWlJfctDadPn0ZpaSlWr14tVz/SeP78ORYvXgx7e3ts3ry50calKIoCgJ07d2LOnDnYsGEDzp8/z3U4jYomc5TKKSkpQXFxMbp16/bJs4yMDFRXV4ucmSOEIC4ujtWBhtDQUAwZMkSq5dK///4bzs7O0NPTY93mY3w+HwcOHMCgQYNY1cFrCIQQeHp6orKyEmfPnhVZn4+iKEpR1NTUcPr0aTg5OWHhwoX19UBVgdImcwzDTGIY5lhpaSnXoVBNTFZWFgCga9eunzwTnHIVtYSan5+PoqIisXe2AkBZWRmSkpJY3RAh8PTpUzx58gRubm6s2wgTFBSEJ0+e4JtvvpGrH2mcOXMG/v7+2Llzp8hbMyiKohRNS0sLV69eRceOHTFz5kyVKVmitMkcIcSXELKYbsCmPvb06VMAgIWFxSfPBMmcqIQkISEBgOg7WwWioqLA5/MxdOhQ1nHdunULAOQ+xXrixAm0bt0aM2bMkKsftl68eIFVq1Zh2LBhjX7YgqIo6mOtW7fGpUuXUFBQAA8PD5U44aq0yRxFiSIpmTM3N0fLli2FthWULZF080NERAQYhsGgQYNYxxUQEAAzMzP07NmTdZuPlZaWwsfHB3PnzpW4p6+hLF++HJWVlTh58iQtQ0JRVJNgb2+PgwcPIiAgANu3b+c6HIWjP3kplZOdnQ1DQ0Oh94SKu68VeDczZ25uLvGO0fv378Pa2pp1aY66ujoEBgZizJgxct2feunSJVRVVeHzzz+XuQ9p3Lx5E1euXMHmzZtFng6mKIriwldffYX58+dj69atCAgI4DochaLJHKVynj59KnRWjsfjIS0tTWwyl5iYKHGJlc/nIyIiAkOGDGEdU1RUFMrKyjB27FjWbYTx8vJCz549MWDAALn6YaOmpgYrV65Ejx49sGbNGoWPR1EUJQ2GYXDkyBFYWVlh3rx5+Oeff7gOSWFoMkepnJycHJibm3/yem5uLqqrq0Xul6upqUF6ejpsbGzE9v/kyROUlpZKdZI0KCgIDMPAxcWFdZuPPXv2DKGhoZg3b55cs3tsnThxAunp6di/f3+jLelSFEVJQ09PD5cvX8bbt2/x9ddfK21BYZrMUSonLy8Ppqamn7yekZEBAELrzwme19XViZ25A4DY2FgAYHXdl0BoaChsbGzQunVr1m0+du3aNQBolIMPlZWV2L59O4YPHy736VuKoihF6tWrF7Zv3w5/f3/89ddfXIejEDSZo1RKWVkZysrKhCZz2dnZAIQfjADE3+f6obi4OGhpaUlM+gTq6upw//59qW6KEObKlSvo3bs363HlcfjwYTx//hw7duxolFlAiqIoeXz77bdwcHDAypUrUVxczHU4DY4mc5RKEeyZ6Ny58yfPsrOzoaGhgY4dOwpt++jRIwCQuNE/NjYWtra2rAvnPnz4EBUVFXIlc69evcLdu3cxffp0mftgq6ysDL/88gvGjh0rdwJKURTVGNTV1XHixAkUFRVh3bp1XIfT4OjdrJRKESRzwmbmnj59ClNTU2hoCP/P4tGjRzA1NRVZtgR4d/ghLi4On332GeuYBHe4Ojo6sm7zsevXr4PH48l9pysb+/fvR3FxsUoc928KeDweCgsLUV5ejjdv3qCiogKVlZWorKyEmpoatLS06j90dHSgr6+PTp06QVtbm+vQKapJ6du3L9atW4dff/0VHh4ecu1RbmpoMkepFHEzc6IORgg8fvxY4hJrdnY2ysrKpLqPNSwsDN26dUOHDh1Yt/mYj48PzM3NWV0zJo/y8nLs27cP06ZNg4ODg0LHUjUFBQWIiopCeno6MjMzkZWVhaysLGRnZ6O2tlbq/oyNjWFmZgYzMzOYm5vD0tIS9vb2sLGxodetUSpr8+bNuHTpEr755hskJSUpTW1MmsxRKqWgoAAAYGJi8smz/Px8sddvPX36VGICI1iKFXUdmDBxcXFy3aFaV1eHkJAQzJkzR+H7186ePYuysjKsX79eoeMou7q6OsTHx+PBgweIiIhAREREfTFrAGjVqhW6deuGfv36wd3dHaampjAwMEDLli3RsmVL6OrqQkdHB3w+H9XV1fUfVVVVKC0tRV5eHnJzc5Gbm4vk5GT4+/vj7du3AABNTU3Y2trC3t4eAwcOxOjRo4XOVFOUMtLR0cH27dsxd+5cXL16tVG2pjQGmsxRKqWgoAD6+vrQ0dH5n9cJIcjPzxc5O/bmzRsUFRWhS5cuYvsXHJJgW0C3uLgYOTk5WLp0Kav3C/Pw4UOUlZUpfMmAEILDhw+jX79+ciWfqqqyshK3bt2Cj48PfH19UVRUBADo0KEDhgwZgmXLlmHw4MGwtraGkZFRg47N5/ORmZmJ2NjY+g9vb2/88ccfAN798TF27FiMGzcOjo6OdImWUmozZ87Epk2bsH37dri7uyvFIS6lTeYYhpkEYFL37t25DoVqQgoKCmBsbPzJ669fv0ZNTY3Iww+Ck65skrl27dqhTZs2rOKJj48HALmWR4OCggAAI0eOlLkPNsLDw5GUlITjx48rxQ+/xlBRUYFLly7h6tWruHXrFt6+fYtWrVphwoQJmDBhAoYNGwZTU1OFfz/V1NTQo0cP9OjRA3PmzAHwLsFLTU1FQEAAAgICcOjQIezbtw86OjoYP3485s+fj/Hjx9MagpTSUVdXx8aNG7Fo0SL4+flh4sSJXIckN6VN5gghvgB8HRwcvuI6FqrpKCgoQPv27T95PT8/HwBEzsxJKlsikJ6eLtXdqg8fPgQgfzJnbW0tNEltSCdOnICBgQHmzp2r0HGUQVJSEv744w+cOXMGZWVlMDMzg6enJ6ZOnQpHR0eJe9aOh2Zhh/8jmcd37tUO/1k0UOx71NTUYGNjAxsbG6xduxYVFRW4e/cu/P39cfHiRVy5cgVGRkaYPXs2PDw8MHToUJrEU0pj3rx52Lp1K7Zv344JEyY0+3+3pd75xzCMBcMwOxmGucAwzC2GYf5iGKafIoKjqIb28uVLoUnP8+fPAUhO5iTNzGVkZECa2eCHDx+iU6dOaNeuHes2H6qpqUFYWJjCl1grKytx6dIlzJ49G3p6egodqzlLTEyEs7MzbG1tceLECUyePBn37t1DdnY2Dhw4ABcXF1aHD+RJ5AAg+HGh1G309PTg5uaGQ4cO4dmzZ7hx4wbc3Nzg5eWF4cOHo0ePHvD395crLopqKlq0aIHvv/8ekZGRCA4O5jocuclyjKM/IeR7QsgsQsgYQshsAF0bOjCKUoTi4mKhS6CvXr0CAKGzdsC7mTsNDQ2xSRePx8OLFy+k2kyenp4OS0tL1u8X1r6yslLhe9jCw8NRUVGhNJuFGxqPx8NPP/0EOzs7JCcnY8+ePXj27BnOnDmD4cOHN7u/+jU0NDBu3DicPXsWL168gJeXF7S1tTFhwgR8/fXXKC8v5zpEipLbwoULoa+vD29vb65DkZssyVw3hmEMBF+8/5zdBiGK4lhpaSkMDQ0/ef3169cA3p0iFKawsBBt27YV+0v51atX4PP5Qk/KipKdnS1x6VaclJQUANKdnpVFaGgo1NXVMXToUIWO0xwVFBRgzJgx2L59Ozw8PPD48WOsXbuW9b7Jpk5fXx/z589HTEwM1q9fj+PHj6Nv374ICwvjOjSKkouWlhbGjRsHX19f8Pl8rsORiyzJ3DEAX79fZv0LwGIAFxo2LIpqeLW1taisrISBgcEnz0pKSgBA5CnCwsJCiUuhgrInbPeuVVRUoLCwUOLSrTgpKSlQU1NjfXpWVqGhobCzs4O+vr5Cx2luwsLCYGdnh/v37+PUqVM4ffq0XPfrNmXa2trYtWsX7t69C0IInJyc8N1336Gqqorr0ChKZpMnT8aLFy8QHR3NdShyEZvMMQxjwDDMEYZh6u++IISUEkJ2A9gAYCchZA8hpFTRgVKUvMrKygBA5Mycjo6OyJN7ikjmcnJyAEjehydOcnIyunfvrtBSElVVVYiMjKRXd32AEIJ9+/Zh5MiR0NHRQUREBBYtWsR1WI3C0dERCQkJ+Oqrr7B7924MHTq0fk8pRTU3bm5uUFdXx/Xr17kORS6SZuZ+BRAHoC3DMJ5AfYLXhRDyFEDDFkOiKAUSl8yVlJSIXGIFFJPMsT1UIU5KSorCl1ijo6NRXV2NESNGKHSc5qK6uhqzZs3C2rVrMWnSJMTGxqJfP9U6A6avr48//vgD169fR2ZmJhwcHBAaGsp1WBQltdatW8PR0RE+Pj5chyIXSclcHCHkOCHkewCvGYb5BcAlAHcYhuEBmKnwCCmqgQg2bQu7W7WsrEzo8qvA69evJS6fCYrAtm3bllU8gnIowq4WY4MQgqysLPTo0UOm9mwJyqcMGjRIoeM0F2fPnsWlS5ewY8cOXLlyRegfB6pi0qRJiImJQevWrfH555+Dx+NxHRJFSW3s2LFISUmp327THElK5oo++PwOgKz3J1i7E0LUCSGyl62nqEZWU1MD4N11RsKeiSuOWlVV9cmtER8TXJekq6vLKh5BcinrPrS3b9+irq6uwW8L+FhBQQE0NDRYJ6nK7s8//0SvXr3www8/NLtTqorQo0cP/PLLL8jJycHff//NdTgUJTXB6sizZ8+4DUQOkpK52YIacu/3xWUqPiSKUgzBZeXC6nzV1NQITfIEqqurJVbCF2wEZ1sxv6KiAgBkrtsmWDYWN6PYEF6+fIm2bdsqzYXU8sjMzMS9e/ewYMECmsh9YMqUKTA1NcXBgwe5DoWipNapUycAyp3MGQHYyDBMBsMwAQBmMgxTX530w89lxTDMDIZhRjEMs5jtc0ltKEoYwcyctMkcj8dDXV2dxEMGVVVV0NLSYv1LvqKiAhoaGmKTSHHevHkDQPHJXGFhocj6e6rGy8sLDMNg/vz5XIfSpGhoaGDp0qUIDAxEamoq1+FQlFRUIZn7+n1x4O4AluDdUuus98ndEwBfyzM4wzAzAIAQcuf916MkPZfUhqJEkXVmrrq6GoDkGbeqqiqpTpVWVFTIdZuCYGZO0eVCXr58SZM5vLvL1MvLC66urjLvc1RmX331FbS0tHDo0CGuQ6EoqQju5FbaZO79idX6zwkhlwkhS94ndwMAPBXdmpUBALLef54FwI7Fc0ltKEqouro6AO9mET5WW1sr9HVA/F67D1VXV0s1y1ZZWcl6f50wgmVaYQc6GtKrV6+UpgCuPJKSkpCdnY1Zs2ZxHUqT1LZtW0yZMgXnzp3jOhSKkoq2tjaMjIzqr3VsjmTeBEMIKQHwh5zjf1wL4uPfGMKeS2oDhmEWMwwTwzBMTGGh9HcUUspJsOdLWKVvdXV1kRXA1dXVAUDiST0NDQ2pTvNpamrWJ4qyECSOgplDRWnZsmV94qjKLCwsoKOjg7i4OK5DaZJ4PB4iIyNVrkwL1fzx+Xy8efOmWZ9Ml1g0WNzzD2fuZFQCQFy9B2HPJbUBIeQYIcSBEOIg6wXmlPIRLK8Klls/JC6xEiydSkqatLW1paqGr6enJ1eSJNgrJ9g7pyjt2rXDy5cvFTpGc2BgYAB3d3d4e3vTWw+E8PX1RU5ODr755huuQ6Eoqbx8+RJ1dXX1e+eaI0kzc6MZhlnPMIynpMRORtH4v5m2rgBus3guqQ1FCSWYyZI2mdPQ0ADDMBJ/gQuSOUIIq3j09PRQVVUlc20uwV45RSdz7du3p8ncewsWLEBJSQl8fX25DqXJOXjwIExNTTFlyhSuQ6EoqQj2yiltMvd+j9xuABfxrkzJOoZh3BtqcELIJQBd3x9iaPXBoYbbop6LakNRksg6M8cwDLS0tFjNzPH5/Pq9eZIIDj9UVlayev/HBMlcaalib9Nr37496HaFd1xcXNCpUyecPn2a61CalJSUFAQFBWHp0qUi955SVFOlDMkcq//q3teYOw4ADMNYMAyzHgDBuxsiguQJgBCy6/2ndz54bbSE55+8RlGSSErmhL0uwGYJVbAcW1VVJfTE7McEyVxFRYVMJ1IFbQSnWhWlffv2qKiokPv0rTJQV1fH/PnzsXv3bqSmpsLKyorrkDjH5/OxY8cOaGlp4auvvuI6HIqSmjIkc1IfgHh/qnU3IWQP3l3xtf79jB3d9Uo1aYIbHITNhOnq6tbfyCBMy5YtJSZNgj1sbK+EEZwQlXUJU11dHcbGxsjLy5OpPVvdunUD8G72hQIWL14MQ0NDDBkyBNeuXeM6HE6VlJRgypQpOH/+PNasWUNvCaGapQcPHsDIyIj1vdpNkVwl3QkhDz9I7Gg5dKpJE5xUEpaUtWrVSmwS1q5dO4lLjYIfBAUFBaziEVwhk5OTw+r9wlhZWSk8yRo+fDgA0IvU37OwsEBsbCx69uyJadOmYf369ayX1pVJWFgY7O3tcfPmTfz+++/YsWMH1yFRlNTq6urg5+eHCRMm1FcuaI5YJ3MMw3QR95wQ8lDeYChKkQTJnLA9ZkZGRigtLRV5GEGRydzTp7IfCre2tkZqairrQxeyMDExQc+ePWky94EuXbogLCwMS5YswZ49e+Dq6tqsa1RJo7q6Ghs2bICTkxP4fD5CQkKwbNkyer0Z1Szdv38fRUVFzf7gjjQzcwzDMJ4ffDG9Ia7zoqjGoq2tDQ0NDaHJXKtW7w5Ii1pKlSaZe/HiBat42rVrBx0dHWRnZ7N6vzDW1tYoLy9Hbm6uzH2wMWLECNy7d0/mk7fKSEtLC0eOHMGZM2cQExOD/v37Izg4mOuwFCo+Ph4ODg7YtWsXPD09kZiYiGHDhnEdFkXJ7Pr169DU1MTYsWO5DkUu0iRzOwFcZBhmOvDupCuADQqJiqIUgGEYGBoaipyZA4DXr18LbauImTmGYdClSxe5kzlA8fvZnJycUFJSguTkZIWO0xx5eHggMjISrVq1gouLCzw9PVkn9M1FZWUlduzYgYEDB6KoqAh+fn44duyYwq+SoyhFIoTAx8cHLi4uzf7fZWmSOSNCSCkh5DLDMC7v687RpVWqWRG1N06QzBUVFQltZ2xsXH+iUxQdHR0YGhoiPz+fdTxdu3ZFRkYG6/d/zMbGBgDw8KFi/1McMWIEAODGjRsKHae5srGxQUxMDNavX4/Tp0/D1NQUM2fORGBgoMibRZo6Ho+HO3fuYMGCBTA2Nsa//vUvuLu7IykpCW5ublyHR1Fye/DgATIyMpr9EisgXTI3U7Bv7n05ktkAjiogJopSGFEFcE1MTACIXiI1NzcHIIR2LYgAACAASURBVPmwQteuXZGVlSX2PR+ytbXFo0ePZL6Sy8jICH369EFISIhM7dkyNTXFsGHD4OXlpdD9ec1Zy5YtsWvXLjx69AgrV65EUFAQRo0ahV69emHTpk2IjY1t8t87Pp+PmJgYrFu3Dqamphg9ejR8fHwwZ84chIaGwtvbm97TSymNHTt2oE2bNvDw8OA6FPkRQmT+AGAhT/vG+LC3tycUJTBlyhRiY2Pzyet5eXkEADl69KjQdvfv3ycAiJ+fn9j+Z86cSbp37846ngsXLhAAJCYmhnWbj61cuZJoa2uTqqoqmftg4/jx4wQACQsLU+g4yuLt27fk7NmzZOTIkURNTY0AIKampmT58uXk9u3bpKamhusQCSGEvHz5kpw9e5Z4eHiQ9u3bEwCkRYsWZMqUKeTixYvk7du3XIdIUQ0uLi6OACDbt2/nOpRPAIghUuY68pYmkfduVoVhGGYSwzDHFF0dn2pejI2Nhc7MGRsbg2EYkScS2Z487d27N7KysljPtPXv3x+AfMukLi4uqKqqQmRkpMx9sDF37lwYGhri999/V+g4ykJbWxvz5s1DcHAwCgoK8J///Ad2dnY4deoURo8eDSMjI7i4uGDjxo3w9fVtlFs2eDweUlJS4OXlhZUrV2LAgAEwNjaGh4cHbt68iVGjRsHLywvPnz/HtWvXMGPGjPpi2BSlTLZv3w5DQ0OsWLGC61AahNLeu0II8QXg6+DgQEuSU/WMjY3x6tUr8Hi8/6kp1KJFC7Rr107kfjcTExNoa2tLPKzQu3dv8Pl8ZGRk1B9OEKdr167Q19eXK5lzcnKCmpoagoKC4OTkJHM/kujp6WHhwoU4fPgw9u/f36wLbDa2tm3bYuHChVi4cCEqKytx69YtBAYGIiIiArt27ao/Jdy9e3dYWVmha9eu6NatG7p27YquXbvCzMwMOjo6rMp/1NXVIT8/H7m5ufUfOTk5SExMRHx8fH3RbF1dXdjb22Pbtm0YN24c7OzsoKYm19/3FNUspKSk4MqVK/jpp5/qS1Y1d0qbzFGUMMbGxuDz+Xj16tUnyUjHjh1FJnMMw8Dc3JzVzBwApKamskrm1NTU0L9/f8TFxbH8J/hUq1atYG9vjzt37mDLli0y98PG0qVL8dtvv+Ho0aPYvHmzQsdSVrq6upg6dSqmTp0K4N1J0djYWERERCAyMhLp6em4c+fOJzeVqKuro2XLltDT04Ouri40NDSgrq6O6urq+o+qqiqUl5d/cujCyMgIVlZW8PT0hL29Pezt7dG7d+9mXSSVomS1ZcsW6OnpYeXKlVyH0mBoMkeplI4dOwJ4dxffx8mcqamp2Jm3Hj16ID09XWz/lpaWUFdXR0JCAmbOnMkqpkGDBuG3337D27dv668ck9b48eOxfft2vHz5Eu3bt5epDzZ69eqFyZMnY//+/fj222/rTwFTstPV1YWjoyMcHR3rXyOEoKCgAFlZWcjMzMSzZ89QXl6ON2/eoKKiAm/fvkVtbS14PB60tLSgpaUFTU1N6OjoQF9fH6ampjAzM4OZmRlMTU2bfdkFimoo/v7+uHTpErZu3apUh3loMkepFFNTUwBAXl4e7Ozs/udZly5dEBISAkKI0OUsS0tL3L59+5Ml2g/p6OjAysoKsbGxrGNycnLC7t27ERUVVV8CRFru7u7Ytm0bfHx8FH7Z+c8//4x+/fph9+7d+H//7/8pdCxVxTAMTExMYGJigqFDh3IdDkUphfLycixduhRWVlb4/vvvuQ6nQdENEpRK6dy5MwDgn3/++eSZhYUF3rx5I7JwcO/evVFdXS1x35y9vb1UZSiGDRsGhmHkui7L1tYW3bp1w+XLl2XuQ5qxZs+ejd9++411gWSKoiiu/etf/0JeXh6OHz8OTU1NrsNpUDSZo1RK+/bt0aJFC+Tl5X3yTNKJVUtLSwDAo0ePxI5hZ2eHwsJCPHv2jFVMglpx9+7dY/V+YRiGgbu7OwIDA4UWRW5oW7duRXV1NX755ReFj0VRFCWvqKgoHDhwAEuXLlXK2W6azFEqRU1NDZ06dRKazHXt2hUARBb9ZZvM2dvbA4BUhxocHR1x//591NbWsm7zMXd3d9TV1cHX11fmPtjq2bMnFi5ciCNHjij8XliKoih5VFdX48svv0SHDh2U9g9QmsxRKsfMzExoAtK9e3cAQFpamtB2rVq1QocOHSTeg9qvXz+oq6sjKiqKdUwjRoxARUUFoqOjWbf52MCBA9G5c2d4e3vL3Ic0Nm3aBDU1NaXbe0JRlHJZt24dkpOTcfToURgYGHAdjkLQZI5SOaIut9fT04O5ubnYmTdbW1skJiaK7V9XVxd9+/ZFREQE65hcXV2hpqaGW7dusW7zMTU1NXh4eCAgIKBR9rKZmZnhu+++w/nz53H37l2Fj0dRFCUtb29vHDp0CGvWrMGkSZO4DkdhaDJHqRwLCws8e/ZM6C0NVlZWSE1NFdnW1tYWKSkpEpdDhw4disjISNTV1bGKqXXr1hgwYIBcyRwAzJ8/HzweD+fPn5erH7Y2bNgAc3NzLFmyBFVVVY0yJkVRFBuPHj2Cp6cnhg0bhp07d3IdjkLRZI5SORYWFiCECF1qtbKyQlpaWn1F/o/17dsXNTU1EuvNDR06FBUVFUhKSmId15gxYxAZGSnXAQYrKys4ODjgzz//lLkPaejq6uLYsWNIS0vDtm3bGmVMiqIoScrLyzF9+nTo6enhr7/+QosWLbgOSaFoMkepHAsLCwAQutRqZWWF6upqkSdabW1tAQAJCQlixxgyZAgASLXUOmbMGPD5fAQGBrJuI8zChQsRHx+PmJgYufpha8yYMfjiiy+wa9cuuW6yoCiKagiEEHz99dd4/Pgxzp07h06dOnEdksLRZI5SOYJkTljCZmVlBQAiDzn06tULLVq0kJjMmZubo0OHDggPD2cd16BBg2BgYICbN2+ybiOMh4cHdHV1cfjwYbn6kcbevXvRvn17LFiwgC63UhTFqX379uHcuXPYtm0bXF1duQ6nUShtMscwzCSGYY6VlpZyHQrVxHTs2BGamprIzMz85JngPtXk5GShbTU1NdGnTx+JM1AMw8DR0RGhoaGsiwe3aNECY8aMgb+/P+s2whgaGuLzzz/HuXPn8PLlS5n7kUarVq1w8uRJJCcn48cff2yUMSmKoj528eJFrF+/HjNnzsQPP/zAdTiNRmmTOUKILyFksaGhIdehUE2Muro6unbtiidPnnzyTF9fH126dBF7YtXOzg5xcXESEy4nJyf8888/yMnJYR3bxIkTkZ+fj/j4eNZthFm1ahWqq6tx9OhRufqRxvjx47F8+XLs27dP7qViiqIoaYWGhsLDwwNDhw7Fn3/+CTU1pU1xPqE6/6QU9YGePXuKPMRga2sr9uCCnZ0diouLJRbLdXJyAgCpynaMHz8eampquHbtGus2wvTq1Qtubm44fPiw0FO7irJr1y707t0bCxYsEHktGkVRVENLTU3FlClTYGFhAR8fH+jo6HAdUqOiyRylknr37o309HShpUP69OmD9PR0kUmQnZ0dAMk3PFhbW6N169ZS3bnavn17ODk54eLFi6zbiLJ69WoUFBQ0WhFh4N3p1rNnz6KgoABLly6Va7mYoiiKjfz8fIwfPx5aWlq4ceMG2rRpw3VIjY4mc5RK6t27N2pra4Ve3dWnTx/weDyR9eZsbW2hrq6O2NhYsWOoqanB0dFR6oK6M2bMwKNHjyTeNCGJq6srbGxssH///kZNquzt7bF161b89ddfOHbsWKONS1GU6ikpKcGECRNQVFQEPz+/+gNuqoYmc5RKEtyzKuzqLkH5EVH75nR0dGBlZcWqDMeIESOQmZmJZ8+esY5t+vTpUFNTw19//cW6jTAMw2D16tVISEho9D1sGzZswNixY/HNN9/g/v37jTo2RVGq4c2bNxg/fjxSUlJw6dKl+nuxVRFN5iiVJK4ESY8ePaCtrS22/IiDgwNiYmIkzng5OzsDAIKDg1nHZmJigpEjR8Lb21vuGbV58+bBxMQEe/bskasfaamrq+PcuXMwMzPD9OnTpUpmKYqiJCkvL8eECRMQHR2Nv/76C+PGjeM6JE7RZI5SSQYGBujcubPQpVQNDQ306dNHYjJXWFgo8RCEra0tjIyMEBISIlV8c+fOxZMnT/Dw4UOp2n1MS0sL3377LQICAiTeKdvQWrdujWvXruHNmzdwd3en9ecoimoQFRUVmDhxIsLDw/H/2bvzsBrz/g/g7/t0SntZEvEIJdU5p1NOKxVt9iyVbGMZhhnLGIydxpZlzNhGGONhxr7LMgwha02LSgpFhGQsoVKW0P37g/w8ps459+nU3fJ5XVdXmnPf3+9nXM9j3r7rtm3b0Lt3b75L4h2FOVJrybuHVSqVIjk5ucyRMScnJwBAXFyc3D4EAgHat2/PaWQOAAICAiAUCtVyx+rXX38NPT09LF26tNxtcSUWi7F582bExcVhzJgxtCGCEFIuL168gL+/P86fP4+tW7eib9++fJdUJVCYI7WWSCTCtWvXUFxc/K/PpFIpnjx5gvv375f6rr29PXR0dJS64aFDhw64deuWwlG8T9WrVw+dOnXCrl27Sq2Pi3r16mH48OHYvn077t27V662VBEQEICQkBBs3LgRq1evrvT+CSE1w8uXL9GzZ0+cOXMGmzZtQv/+/fkuqcqgMEdqLVtbW7x8+bLUO1rt7e0BoMzDezU1NeHs7IwLFy4o7Mfb2xsAcPLkSU719e/fH1lZWZyuBCvL+PHjwbJspa+dKzFnzhz4+/tjwoQJnEcpCSEkPz8fXbp0walTp/DHH3/giy++4LukKoXCHKm1Sq7uKm0TRMmOVnnr5jw8PHDp0iUUFBTI7UcsFsPMzAxHjx7lVF/Pnj2ho6OjlqnWFi1aYMiQIfj11195GZ0TCATYunUrWrVqhYCAgDKvSyOEkM/l5OTAx8fn4xq5wYMH811SlUNhjtRa8na0GhoawsLCQu61Wu7u7nj37h1iYmLk9sMwDLp27YqIiAi8efNG6fr09fXRo0cP7Nmzh9N7ZQkJCUFxcTEWLFhQ7rZUYWhoiL/++gu6urro3Lkzp2lnQkjtlJWVBQ8PD6SkpGD//v00tVqGGhvmGIbxZxjmt7y8PL5LIVWUkZERmjZtWubhvPb29nLDnJubGwQCgVJTrd26dcPz5885T5kOGDAAOTk5nKdoS9O8eXOMGDEC//3vf5GZmVnu9lRhbm6OY8eOoaCgAJ06dcKTJ094qYMQUvWlpaWhXbt2uH//PiIiIuDv7893SVVWjQ1zLMseZll2pJGREd+lkCpMJBKVOeVnb2+PjIwMPH/+vNTPDQ0NIZVKcf78eYX9+Pj4QFNTE0eOHOFUX6dOnWBsbKyWqVYAmDlzJoRCIebNm6eW9lQhkUhw8OBBZGZmonv37njx4gVvtRBCqqaLFy/Cw8MDr1+/xtmzZz/edU1KV2PDHCHKEIlESEtLw7t37/71mb29PViWlXs+m7u7O2JiYhROgxoYGMDT05NzmKtTpw6CgoIQHh6ultBjZmaG0aNHY/PmzUhPTy93e6pq3749tm3bhtjYWPTt27fUO3IJIbXT8ePH4eXlBX19fURFRX3ckEbKRmGO1GpisRivXr0q9Y5WRTtagfdh7sWLF0od7tutWzdcu3at1N2z8gwYMAAFBQX4888/Ob1XlqlTp0JHRwdz585VS3uqCgwMxOrVq/Hnn3/i66+/pjPoCCFYv349unXrBktLS0RFRcHS0pLvkqoFCnOkVpO3o7VJkyaoX7++3KDm4eEBAEpNtXbt2hUAOI/OeXp6wszMDNu3b+f0XlkaNmyIcePGYefOnUhJSVFLm6oaNWrUxzPoSo5PIYTUPu/evcOkSZMwcuRI+Pn54dy5czAzM+O7rGqDwhyp1eTtaGUYBg4ODnJH5ho3bgwLCwulwpyVlRUsLCw4H1GioaGBAQMG4MiRI3j06BGnd8syadIkGBgYYPbs2Wpprzzmzp2LCRMm4JdffsGECRMo0BFSyxQUFCAgIABLly7F2LFjcfjwYRgYGPBdVrVCYY7Uavr6+mjevLncTRApKSly18R5eHjgwoULCkMIwzDo1q0bIiMjOa9/GzZsGN6+fYvNmzdzeq8s9erVw8SJExEeHo6EhAS1tKkqhmGwdOlSfPfdd1i5ciUmTpxIgY6QWiIrKwvu7u74888/sWrVKqxatQpCoZDvsqodCnOk1hOJRGUeT+Lg4ICioiJcu3atzPfd3d3x5MkTpKWlKeyra9euePXqFedbEGxsbODu7o7169erLeiMHz8edevWRUhIiFraKw+GYbB8+XKMGzcOK1aswOTJkynQEVLDxcXFwdnZGZmZmThy5AjGjh3Ld0nVFoU5UuuJxWKkpaWVOvqmzCYILuvm2rdvD11dXc5TrQDw1Vdf4fr160qda6cMIyMjTJ06FX/99VeVuGKLYRisWLECY8eOxdKlSzF9+nQKdITUUBs3boSnpye0tbURHR2Nzp07811StUZhjtR6IpEIb968QUZGxr8+a926NXR0dOSGuVatWqFhw4ZKhSxtbW34+vri6NGjnINKUFAQDA0N8d///pfTe/KMGzcOzZo1w4QJE0o9nqWyMQyDX375Bd988w1+/PFHzJgxgwIdITXI69evMXLkSAwfPhweHh6Ij4//uBGNqI7CHKn15O1o1dDQgEQiQWJiYpnvMwwDd3d3pUbmgPdTrbdv35Y7dVsaPT09DBgwAHv27EFubi6nd8uio6ODJUuWIDk5GX/88Yda2iwvhmGwevVqfP3111i8eDFGjRpVJYImIaR8Sq7mWr9+PaZPn45jx46hQYMGfJdVI1CYI7WejY0NGIYpc92co6MjEhIS5AYKDw8P3L59W6lL7Lt06QIAKk+1vnz5Um3HlABAcHAw2rZti5kzZ5Z520VlEwgEWLt2LaZNm4Z169ahf//+eP36Nd9lEUJUFBkZiTZt2iAtLQ379+/HwoULoaGhwXdZNQaFOVLr6ejowMLCosww5+LigoKCArkjaSXr5pSZam3WrBkkEolKYa5Nmzawt7dX61RryeaDhw8fYvHixWprt7wYhsGiRYvw888/Y8+ePfD390dBQQHfZRFCOCguLsaPP/4IPz8/NGzYEPHx8ejduzffZdU4FOYIgfw7Wl1cXAAAsbGxZb4vlUqhr6/Paar1/PnzyM/P51QnwzD46quvkJSUJHfqlytnZ2cMHDgQS5cuxd27d9XWrjp8//332LhxI06dOgU/Pz88ffqU75IIIUp49OgRunXrhmnTpiEoKAixsbFo3bo132XVSDU2zDEM488wzG95eXl8l0KqAZFIhBs3bqCoqOhfn7Vq1QrGxsaIi4sr832hUAhXV1dERUUp1V/Xrl3x9u1bnDx5knOtAwYMQJ06dbBx40bO78qzcOFCMAyDmTNnqrVddfjyyy+xd+9eJCYmokOHDsjOzua7JEKIHCdPnoRUKsXp06exevVq7Ny5E/r6+nyXVWPV2DDHsuxhlmVHGhkZ8V0KqQZEIhHevn2L69ev/+szgUAAJycnuWEOeH/e3OXLl6HMXyDc3NxgaGiIv/76i3OtdevWRWBgILZt24aXL19yfr8sJbtat27diosXL6qtXXXp3bs3/vzzT2RmZsLFxUXuDmNCCD/evHmDGTNmoGPHjqhbty7i4uIwevRoMAzDd2k1Wo0Nc4RwIW9HK/B+qjUlJUXuzQ3u7u5gWRYxMTEK+9PU1ETHjh1x5MgRFBcXc6532LBhyM3NxYEDBzi/K8+0adNgYmKC77//vkoeCeLn54cLFy583EH8559/8l0SIeSDzMxMtG/fHosWLcLw4cMRHx8POzs7vsuqFSjMEYL358kJBIIyw5yzszPevXsnd52ai4sLNDQ0lD7Ut1evXvjnn3/krsUri5eXF5o3b44NGzZwflceQ0NDzJ07F+fOncPBgwfV2ra6SKVSxMbGwtraGj179sTKlSurZPAkpLZgWRabNm2CVCrFlStXsHPnTqxfvx56enp8l1ZrUJgjBO8P87W0tJQb5gD5myD09fXh4OCg9CaIbt26QVNTE/v27eNcr0AgwJdffolTp04hMzOT8/vyjBgxAra2thg/fjznO2Qri5mZGc6ePYsePXpg/Pjx+Pbbb+ksOkJ4kJOTg+DgYAwdOhQODg64fPky+vbty3dZtQ6FOUI+kHdHq6mpKczNzRWum2vfvj1iYmKUWstmbGwMHx8fhIeHqzSyNHToUDAMo/bROaFQiLVr1+LOnTtYuHChWttWJz09Pezbtw/ff/89Vq9ejR49eqjtMGVCiGKHDx+GWCzGwYMHsWjRIkRGRsLc3JzvsmolCnOEfGBra4uMjIwyD6d1cnJCfHy83DZ8fHzw+vVrREdHK9Vn7969cevWLaSkpHCut1mzZujevTvWr1+v9gN1PT098cUXX+Cnn34qdVNIVSEQCPDzzz9jzZo1iIiIgKOjY5lHzBBC1OPZs2cYOnQoevTogUaNGuHixYuYNm0aHQLMIwpzhHwgEonw7t27MsOLs7MzMjMz8fjx4zLb8PDwgFAoxKlTp5Tqs2fPnmAYBuHh4SrVPHbsWDx69Ah79+5V6X15fvrpJ2hra2Ps2LFVfk3aqFGjcObMGRQWFsLFxQW7d+/muyRCaqTw8HDY2tpi69atmDlzJuLi4miTQxVAYY6QD8RiMQCUOUrm5OQEAHKP7dDX14eLiwsiIyOV6tPU1BTt2rVTOcz5+vqidevWCAsLU+l9eRo1aoTQ0FCcOHGiQsKiurVr1w4JCQmwt7dH3759MXnyZLx9+5bvsgipER49eoS+ffsiICAAjRo1Qnx8PEJDQ6GlpcV3aQQU5gj5yNraGnXq1EFSUlKpn8tkMjAMo3DdnLe3N+Lj45U6bw54P9WanJys0kYGgUCAMWPGICYmpkLOhhs1ahTs7e0xYcKEanGVlpmZGU6fPo0xY8bg559/RqdOnfDw4UO+yyKk2mJZFtu3b4etrS0OHDiA0NBQxMXFwcHBge/SyCcozBHygaamJkQiUZmH0RoYGMDGxkapdXPFxcU4d+6cUv2W3FOo6ujckCFDoKenhzVr1qj0vjwlmyGys7MRGhqq9vYrgpaWFsLCwvDHH38gOjoaUqkUJ06c4LssQqqd69evo2PHjhg4cCAsLS2RlJSEmTNnQlNTk+/SyGcozBHyCXt7eyQnJ5e5RqxkE4S8NWSurq7Q1tbG6dOnleqzRYsWsLOzU/lcN0NDQ3zxxRfYsWNHhdxb6urqiqFDh2LZsmVVejPE54YMGYL4+HjUr18fnTp1wvTp0/HmzRu+yyKkynv16hVmz54NiUSCuLg4rFq1ClFRUbC1teW7NFIG3sMcwzBBDMP4MgwzspTPjBmGafPhmR8/+efPGIY5wTDMlMqtltR0UqkUjx8/xj///FPq505OTnj06BHu3btXZht16tRB27ZtlQ5zwPuNEBcuXEBOTg7nmoH306GvXr3Cpk2bVHpfkcWLF0NHRwffffddld8M8SmxWIz4+HiMGDECixcvhqenp9rP5SOkJjl+/DjEYjHmzZuHoKAgpKenY+zYsbRTtYrjNcwxDBMEACzLnvzws+9njwQDcGRZdu+Hz0sCXx+WZf1Yll1SacWSWsHe3h4AkJycXOrnjo6OAKBwqtXLywuXLl3CkydPlOq3Z8+eKC4uVvl6KqlUirZt22Lt2rUqXQ+miKmpKebOnYtjx45Vu52iurq6WLduHXbv3o2rV6/C3t4eO3fu5LssQqqUu3fvok+fPujcuTM0NDRw8uRJbNu2DY0aNeK7NKIEvkfmnADc+vDrWwDafPohy7K/sSz724cfW37yrDHDMC3LapRhmJEMw1xkGOaivGMkCPlcyRb7ssKcVCqFUChUGOa8vb0BAGfPnlWq3zZt2qBp06blukJr9OjRuHHjhtLHonA1duxYODk54dtvv1V5BJFPffr0waVLl2Bra4v+/fujT58+ePToEd9lEcKrly9fYt68ebC2tsaRI0cwf/58XL58GT4+PnyXRjjgO8wZf/Zz/dIe+hDcnpaM4AGoB+ApwzDrSnv+Qwh0ZFnW0cTERH3VkhrP2NgY5ubmZW6C0NbWhp2dncIw5+TkBD09PaWPKGEYBj179sTx48eVuj2iNEFBQWjQoEGFbIQA3m+G2LBhA3JzczFhwoQK6aOitWjRAufPn8fChQtx6NAhiEQi7N+/n++yCKl0LMti165dsLa2xuzZs+Hv74+0tDTMmjULderU4bs8wlGFh7kP691GfvZVMp2ai/fBTJEglmW/LvnhQ1jLBZBbMlVLiLpIpVJcvny5zM8dHR2RkJAgd+2YpqYm3N3dlR6ZA95Ptb58+VLlkbU6depg2LBhOHz4MLKzs1VqQxGJRIJp06Zh69atiIiIqJA+KppQKMT06dORmJiIZs2aITAwEIMGDcKzZ8/4Lo2QShETEwN3d3f069cPdevWxenTp7Fr1y40a9aM79KIiio8zLEsu7dkuvSTr5IRtnj8/+hcSwD/Oj+AYZigkrVxHzZDjGQYps3nzxGiLlKpFOnp6WWOkDk6OiI3Nxe3bt0q9fMSHTp0QGpqqtwbIz7Vvn17GBgY4NChQ5xrLjFixAi8e/dO7fe1fmrGjBlo3bo1vvnmGxQWFlZYPxVNJBIhJiYGs2fPxo4dOyCRSMo1zU1IVZeeno7AwEC4ubnh5s2b+O9//4uEhAR06NCB79JIOfE6zfphY0PLDyN1xp9shDjx4bsvgB8ZhklgGCYB70fxdn/4LOiTNghRGzs7OxQXF+PKlSulfi6TyQAACQkJctsp+QNS2fPmtLS00KVLFxw+fFjlTQyWlpbw8/PD+vXrK+z2A21tbaxbtw6ZmZmYO3duhfRRWTQ1NTFnzhzExMSgbt266NWrF3r37o2s032rbQAAIABJREFUrCy+SyNEbR48eIBRo0ZBJBLh+PHjmDNnDjIyMjB8+HDapVpTsCxbo79kMhlLCBfXr19nAbAbNmwo9fPXr1+zWlpa7OTJk+W2U1RUxOrp6bFjx45Vuu+tW7eyANiYmBhONX/qwIEDLAB2586dKrehjK+++orV0NBgExMTK7SfylJUVMQuXryY1dHRYfX19dlly5axb9684bssQlSWm5vL/vDDD6yenh4rFArZ0aNHsw8ePOC7LKIAgIssx6zD9wYIQqocCwsL6OrqlrmjVUtLC1KpVOH1WSXr5ricN9elSxcIhULs27ePU82f8vf3h6WlJZYuXVqhZ8ItWbIEDRo0+Di1W91pampi6tSpuHLlCjw9PTFx4kQ4Ozsr3OxCSFVTUFCARYsWoUWLFpg3bx66dOmCq1evYvXq1TA1NeW7PFIBKMwR8hmBQACJRCJ3E4RMJkNiYqLCsNS+fXtcuXJF6aM86tWrB19fX+zZs0flICYQCDBhwgTEx8fj77//VqkNZdStWxcrV65EQkICwsLCKqyfytaiRQv8+eef2LNnDx48eAAXFxcMGzYMDx484Ls0QuQqLCzEkiVL0KJFC8yYMQNubm64ePEi9uzZg1atWvFdHqlAFOYIKYWdnR1SUlLKDFQymQx5eXm4efOm3HY8PT0BAOfPn1e67z59+uD27dsK1+TJM3jwYBgbG2PFihUqt6GM4OBgdO3aFdOnT8eNGzcqtK/KxDAMgoKCcO3aNUyaNAlbt25Fq1atsHjxYrx69Yrv8gj5H/n5+ViyZAlatmyJqVOnQiaTISYmBkeOHPm4xpfUbBTmCCmFRCLBkydPyrzWq+QPSGXOm9PR0eF0REmvXr0gFAqxZ88e5Qv+jL6+PkaMGIH9+/fj7t27KrejCMMwWL9+PbS1tTFkyJAaMd36KSMjIyxZsgRXr16Fj48Ppk+fDltbW+zbt69aXWtGaqacnBz88MMPMDc3x9SpUyGVShEVFYVjx47BxcWF7/JIJaIwR0gpSm6CSElJKfVziUQCXV1dhdOYWlpacHNz4xTm6tWrBx8fn3JNtQLvb2wAgNWrV6vchjLMzMwQFhaGv//+Gz///HOF9sUXS0tLHDhwACdPnoSenh6CgoLQtm1bpQ+FJkSdsrOzMXHiRJibm2P+/Pnw8vJCXFwcIiIi0LZtW77LIzygMEdIKSQSCQCUuW5OKBTCyclJqTVpnp6eSE5ORm5urtL9BwcHIzMzE4mJiUq/87lmzZohICAAv/32W4WfB9e/f38EBgbihx9+KDMA1wQ+Pj5ISkrCunXrkJWVBR8fH/j4+CAmJobv0kgtkJKSgqFDh6JFixb45ZdfEBgYiNTUVOzfvx9OTk58l0d4RGGOkFLUq1cPTZo0kRtM3NzccOnSJYXXb7Vv3x4sy3JaN1cy1bp3b/mOURw/fjxyc3OxZcuWcrWjCMMwWLt2LYyNjTF06FC8efOmQvvjk1AoxMiRI5GRkYHly5cjJSUFbm5u6N27d5lnExKiquLiYhw5cgS+vr6ws7PDnj178PXXX+P69evYvHkzRCIR3yWSKqDGhjmGYfwZhvktLy+P71JINSWRSBSGubdv3yocPXN1dYW2tjana7rq1asHLy+vcq/NcnNzQ5s2bRAWFlbha7xMTEywZs0aJCYm1tjp1k9pa2tj/PjxuHXrFubPn49Tp05BIpEgKCioXCOqhABAXl4ewsLCYGtri+7duyMtLQ2LFy9GVlYWVq1ahZYtW/JdIqlCamyYY1n2MMuyI42MjPguhVRTYrEY165dK/MmhZIFxrGxsXLb0dbWhoeHB06c+NdtdXIFBgbixo0bSE1N5fTepxiGwbfffosrV65wOu9OVYGBgQgKCsKcOXNw9erVCu+vKtDX18esWbNw69YtzJgxAydPnoRMJkOXLl1w4cIFvssj1UxycjK+/vprNGnSBN9++y0MDQ2xbds2ZGZmYurUqahXT5nrzEltU2PDHCHlJZFI8Pr1a2RkZJT6uampKZo3b67Ueik/Pz9cvXoV9+/fV7r/Xr16gWGYch0gDAD9+vVD/fr1sWrVqnK1o6zVq1fDwMAAw4YNq7ArxaqiBg0aIDQ0FHfu3MHChQuRkJAADw8PtG/fHocPH65xO32J+rx8+RLbtm2Du7s77O3tsXnzZgQHByMuLg5xcXEYMGAANDU1+S6TVGEU5ggpg1gsBgC5I2Ourq5KhTlfX18A4DTVampqCnd393KHOW1tbYwYMQKHDh3CnTt3ytWWMho2bIiwsDDExsYiNDS0wvuraoyMjDB9+nTcvn0bK1euRGZmJnr06AErKyssX76c00YYUnOxLIuEhASMGTMGZmZm+OKLL/Dw4UMsW7YM2dnZ2LhxI21qIEqjMEdIGWxsbCAQCOSum3N1dUVWVpbCETepVAoTExOVplpTU1Nx/fp1Tu99btSoUWAYptJG5/r164fBgwdj/vz5tXaqUVdXF+PGjcPNmzexe/dumJmZYeLEiWjatCm+/fbbMkd8Sc328OFDrFixAvb29nB0dMTGjRvRrVs3REZGIj09HRMmTKCpVMIZhTlCyqCjowNLS0u5I3Ml6+bi4uLktiUQCODt7Y1Tp05x2ojQu3dvAEB4eLjS75SmWbNmCA4Oxm+//YbK2hQUFhaGFi1aYNCgQZXWZ1WkqamJPn364Pz580hISEBgYCDWrVuHVq1awcfHBzt27KBbJWq4/Px8bN68GZ07d0aTJk0wYcIEaGlpYfXq1fjnn3+wdetWeHl5QSCg/yQT1dD/cgiRQywWyz1uwt7eHpqamgo3QQDvzyi7f/8+0tPTle6/WbNmkMlk5Q5zADB58mQ8f/4c69atK3dbyjAwMMDWrVuRlZWFcePGVUqfVV2bNm2wadMm3LlzB6GhocjMzMSAAQPQpEkTjB8/vlybXUjV8vLlSxw4cAB9+/aFqakphgwZgvT0dEydOhWpqamIj4/H6NGjYWxszHeppCZgWbZGf8lkMpYQVYWEhLACgYB9+fJlmc84OjqyXl5eCtu6efMmC4ANCwvjVENoaCgLgL137x6n90rj4+PDmpmZsa9evSp3W8qaPXs2C4DdtWtXpfVZXbx79449ceIE27dvX1ZLS4sFwDo4OLBLlixh7969y3d5hKO8vDx2x44dbFBQEKunp8cCYBs0aMCOGTOGjY6OZouLi/kukVQDAC6yHLMOjcwRIodIJEJxcTHS0tLKfMbZ2RkXL15UuFuxZcuWaN68OadNEMD/T7UePHiQ03ulmTJlCu7fv4/t27eXuy1lzZw5Ey4uLvjmm29w7969Suu3OhAIBPD19cXOnTuRnZ2NFStWQFNTE1OmTEGzZs3g6emJtWvX4vHjx3yXSsqQnZ2N9evXo3v37jAxMUH//v1x/vx5DBo0CBEREbh//z7CwsLg5uYGhmH4LpfUUAxbwy+LdnR0ZC9evMh3GaSaunLlCsRiMbZu3YqBAweW+szmzZsxZMgQpKamKjyNffjw4di/fz9ycnKgoaGhVA0sy6J169YwNzfnvIGitLYcHBzw5s0bpKSkVNoanRs3bsDBwQGurq6IiIigtUEKZGRkYMeOHdi+fTvS0tIgEAjg7u6OHj16oFevXrCwsOC7xFrr3bt3iI2NxdGjR3HkyBFcunQJAGBubo6AgAAEBgbC1dVV6f9/E/I5hmESWJZ15PIO/YlKiBxWVlYQCoVy1zI5OzsDULwJAni/bi43NxdJSUlK18AwDAICAnDmzBnk5OQo/V5ZbU2aNAlXr17F8ePHy9UWF61atcLy5ctx6tQp/PLLL5XWb3VlaWmJkJAQXL16FUlJSZgxYwZyc3MxadIkWFpaQiKR4IcffkBMTEytOsuPDyzLIi0tDWvWrEFgYCBMTEzQrl07LF68GAYGBli8eDFSUlKQmZmJZcuWoV27dhTkSKWjkTlCFBCJRLCwsMChQ4dK/by4uBh169bFwIEDsWbNGrlt/fPPPzAzM8OSJUswefJkpWtISkpCmzZtsG7dOowcOZJT/Z8rKipCy5YtYWNjU+6RPi5YlkXPnj1x/PhxREVFwdGR0188CYDbt2/j4MGDOHDgAM6dO4fi4mIYGRnB29sbfn5+8PPzg4WFBU3nlQPLskhPT0dUVBTOnj2LyMhIZGdnA3g/+ubt7Y3OnTvDz88PdevW5blaUhOpMjJHYY4QBfr164fY2FhkZmaW+Yy3tzeeP3+O+Ph4he3Z2NigRYsWOHr0qNI1sCwLa2trNG3alPOau9L8+OOPmDZtGpKTk2FnZ1fu9pT15MmTjzuAExMTaSdfOTx58gSRkZGIiIjAiRMnPh4IbW5uDnd3d7i7u6Ndu3YQiUQ0rS1HYWEhkpKSEB0djQsXLiA6OhpPnjwB8P5WD29vb/j4+MDHxwctW7akoEwqHIW5UlCYI+W1ePFiTJ8+HU+fPi3zb+LTpk3DsmXL8Pz5c9SpU0due2PGjMGmTZvw7NkzTlf0zJ49G/Pnz0d2djYaN27M6d/hc8+ePUPTpk0RHByM33//vVxtcRUdHQ1PT0/06tULe/bsof84qgHLssjIyEBERAQiIyMRFRWFhw8fAnh/I4WbmxtcXFzg4OCANm3aoGnTprXy972goADJyclISEhAQkICLl68iLS0NBQXFwN4vxygXbt2H79at25NQZhUOgpzn2AYxh+Av6Wl5YgbN27wXQ6pxo4dO4YuXbrg9OnT6NChQ6nP7Nu3D0FBQYiNjf24hq4se/fuRZ8+fRAdHQ03Nzel67h69SpEIhF++eUXfPvtt1z+FUr17bffYt26dbhz5065wyFXP/30E6ZMmYJVq1Zh7Nixldp3bcCyLG7duoWoqChERUXhwoULuHbt2scDqxs0aAAHBwfY29vD1tYW1tbWsLa2rjEjpXl5ecjIyMCVK1c+fqWmpv7PdXampqZwdHSETCaDTCaDq6srGjZsyGPVhLxHYa4UNDJHyuvBgwdo3Lgxli9fjvHjx5f6zN27d2Fubo6wsDCMGTNGbns5OTkwMTHBggULMGPGDE612NnZwcDAAFFRUZzeK01GRgasrKwwc+ZMzJ8/v9ztcVFcXIwePXogIiICMTExaNOmTaX2XxsVFhbi8uXLSExMRFJSEhITE3HlyhUUFRV9fKZRo0Zo3bo1rKys0Lx5c5ibm3/83rhx4yqzsP/58+e4d+8esrOzce/ePdy+fRs3b95ERkYGMjIy/mejkKamJqytrSESiSAWiyGRSCCTyWBmZlYrRydJ1UdhrhQU5og6mJqaomvXrmVOSbIsi0aNGsl95lN2dnZo1KgRIiIiONURGhqKkJAQZGVloWnTppzeLU3Pnj0RHR2NO3fuQFdXt9ztcfHkyRNIpVLo6ekhISEB+vr6ldo/Ad6+fYvbt2/j2rVrH7/S09ORkZHxr7PtNDQ00LBhQzRs2BCmpqYfv9erVw+Ghob/86Wvrw8tLS1oampCU1Pz46+B90d7fPr19u1bFBYWorCwEAUFBR9/nZubi5ycHDx58gQ5OTkfv7Kzs5Gfn/8/tTEMg//85z+wtLSEhYXFx++2trawtLTktJyBEL5RmCsFhTmiDh07dkROTg4SExPLfKZbt264e/cuUlJSFLY3btw4bNiwAc+ePYOWlpbSdaSnp8Pa2horVqzAd999p/R7ZTl37hzat2+vtqlbrs6cOQNvb28MHToUGzdurPT+SdkKCwtx9+5d3LlzB3fu3MHdu3fx8OFDPHz4EI8ePfr464q8V1YoFKJ+/fpo0KABGjRogPr166NJkyZo2rTpx6+SnxWtVSWkuqAwVwoKc0QdJk+ejF9++QUFBQVl/i1/9uzZCA0NRX5+PvT09OS2t3//fgQGBiIqKgpt27blVItUKoW+vr5aploBwMPDA3fu3EFGRganYKkus2bNwoIFC/D7779j6NChld4/KZ/Xr18jPz//49fz58/x/PlzFBUV4c2bN//zHXg/wqehoQGhUPjxu66uLvT19aGnpwc9PT3o6+vD0NAQRkZGNBVKah1VwpywooohpCaRSqUoKipCeno6xGJxqc84OjqiuLgYly5dQrt27eS25+npCQA4e/Ys5zDXp08fhISE4N69e2qZap0xYwa6du2KrVu3YtiwYeVuj6s5c+bg77//xjfffAOxWEznz1UzderUgYmJCUxMTPguhZBai/ZcE6IEqVQKAEhOTi7zGZlMBgBQZiS4QYMGEIvFOH36NOda+vTpA+D9rlh16Ny5MxwcHLB48WKF98tWBKFQiJ07d8LU1BQBAQHlvuWCEEJqGwpzhCjB2toampqauHz5cpnPmJmZoXHjxkhISFCqTS8vL1y4cAGvX7/mVEvr1q0hkUiwb98+Tu+VhWEYTJs2DTdu3MCBAwfU0iZXJiYm2L9/Px49eoSBAwfyEioJIaS6ojBHiBI0NTVha2srN8wB70fnlLkFAgD8/Pzw8uVLREdHc66nZL3dgwcPOL9bVnsWFhb48ccfwdc6WplMhlWrViEiIgLz5s3jpQZCCKmOKMwRoiQ7OzuFYc7FxQVpaWl49uyZwvY6dOgAoVDI+XgSAAgKCgLLsggPD+f8bmk0NDQwadIkxMfH48yZM2ppUxVfffUVhgwZgvnz5+PYsWO81UEIIdUJhTlClGRnZ4f79+9/vLexNCU3OsTGxipsz8DAAK6uripddm9ra4vWrVurbaoVAIYMGYKGDRtiyZIlamuTK4ZhsGbNGkgkEgwcOPB/TuwnhBBSOgpzhCip5EJ6eefIOTs7QyAQ4O+//1aqzY4dOyIxMZHzon+GYRAYGIgzZ87IDZdc6Ojo4LvvvsOxY8fkbvSoaLq6uti7dy/evn2LgIAAFBYW8lYLIYRUBxTmCFFSSZiTN9VqYGAAsViMmJgYpdr08/MDy7I4deoU53oCAwPx7t07HDx4kPO7ZRk9ejT09fXx008/qa1NVbRq1Qrbt29HUlISvvzyS97W8RFCSHVQY8McwzD+DMP8lpeXx3cppIYwNTVF/fr1Fd7w4Orqiri4OBQXFyts09HREYaGhiqFOQcHB1hYWGDnzp2c3y2LsbExRowYgV27diErK0tt7aqiW7duWLx4Mfbs2YNFixbxWgshhFRlNTbMsSx7mGXZkUZGRnyXQmoIhmEgkUiUCnO5ubm4fv26wjaFQiG8vLxUCnMMw6B///44deqU2na1AsB3330HlmWxbNkytbWpqsmTJ2PgwIGYNWsWDh8+zHc5hBBSJdXYMEdIRZBIJEhNTZU76ubi4gJAuU0QAODr64tbt24hMzOTcz0DBgxAcXExdu/ezfndspibm2PgwIFYt24dHj58qLZ2VcEwDNavXw+ZTIaBAwfi6tWrvNZDCCFVEYU5QjiQSCQoLCzE7du3y3zG2toahoaGSq+b8/HxAQCVRudsbGwglUqxfft2zu/KM2vWLLx+/Ro///yzWttVhY6ODsLDw6Grq4sePXrg6dOnfJdECCFVCoU5QjiQSCQA5O9oFQgEcHFxUTrMWVtbw8zMDCdPnlSppgEDBiA2Nha3bt1S6f3StGrVCgMGDMCaNWvw+PFjtbWrqqZNmyI8PBxZWVno168f3RBBCCGfoDBHCAe2trYAgNTUVLnPOTs7IyUlBS9evFDYJsMw8PHxQWRkpEq7Nvv27QsA2LVrF+d35Zk5cyZevnyJFStWqLVdVbm5uWHt2rU4ceIExo8fTztcCSHkAwpzhHBgaGgIc3NzXLlyRe5zLi4uePfuHZKSkpRq19vbG48fP1bYbmnMzc3h6uqq9jBnbW2NoKAgrFq1SqkbLSrDsGHD8P333yMsLAwrV67kuxxCCKkSKMwRwpFYLFY4Mufk5AQAiIuLU6pNLy8vAEBkZKRKNfXr1w/JyclIT09X6f2yzJw5E8+fP0dYWJha2y2PJUuWICAgABMnTlTbdWaEEFKdUZgjhCOxWIz09HS8efOmzGcaNWqEZs2aKR3mzM3NYWFhoXKY69OnDxiGUfvonFQqRffu3bFixQoUFBSotW1VCQQCbNmyBc7Ozhg4cKDSv8eEEFJTUZgjhCOxWIyioiLcuHFD7nPOzs5KH08CvJ9qPXPmjEqL+83MzODh4aHWA4RLzJw5E0+fPsWvv/6q9rZVpauri0OHDqFRo0bw9/eXu7uYEEJqOgpzhHAkEokAQOGZZ05OTsjMzFT63lUvLy/k5eXh0qVLKtXVt29fXLt2TaV1d/K4urrCx8cHS5cuxatXr9Tadnk0bNgQR48eRVFREfz9/fH8+XO+SyKEEF5QmCOEI2trazAMozA0laybu3jxolLtdujQAQBw+vRpleoKCAgAwzDYs2ePSu/LM23aNDx48ABbtmxRe9vlYW1tjd27d+PatWvo27ev3KlvQgipqSjMEcKRjo4OWrZsqTDMyWQyMAyD+Ph4pdpt3LgxWrdujTNnzqhUV6NGjeDp6anW2yBK+Pj4wNHREUuWLMHbt2/V3n55+Pn5Yc2aNfjrr78wfPhwpe7EJYSQmoTCHCEqEIlECsOcoaEhWrdurXSYA96Pzp0/f17lwNSnT58KmWplGAbTp09HRkaG2m+bUIeRI0di/vz52LJlC6ZMmcJ3OYQQUqlqbJhjGMafYZjf8vLy+C6F1EC2tra4fv26wmk9R0dHxMfHK33ArZeXF/Lz81VeNxcYGFhhU629evWCg4MD5s6dWyWnM2fOnImxY8di6dKlWLJkCd/lEEJIpamxYY5l2cMsy440MjLiuxRSA4lEIrx9+1bhjlYnJyc8ePAA2dnZSrXbvn17AFD5aq9GjRrBw8OjQsKcQCDAvHnzcOvWLWzatEnt7ZcXwzBYuXIl+vXrh6lTp1a59X2EEFJRamyYI6QilexoVXR4sKOjIwAgISFBqXYbNWoEiUSCEydOqFxbcHAwrl69isuXL6vcRlm6desGJycnLFiwAEVFRWpvv7wEAgE2bdoEb29vDBs2TOVQTAgh1QmFOUJUYGNjAw0NDYWByd7eHgKBQOkwB7xf0H/hwgWl7nUtTXBwMDQ0NLBt2zaV3peHYRjMmTMHt2/fxubNm9XevjpoaWlh//79sLGxQUBAABITE/kuiRBCKhSFOUJUoK2tDWtrayQnJ8t9TldXFyKRSOnjSQCgY8eOKCoqwrlz51SqzcTEBJ07d8b27dsrZGdnly5dqvToHAAYGRnh6NGjqFevHjp27KhwBJUQQqozCnOEqEgqlSoMc8D7I0oSEhKU3gTh4eGBOnXqlGuqdeDAgbh3757KgVCe6jA6BwBNmzbFqVOnUKdOHfj4+Kj93lpCCKkqKMwRoiKpVIqsrCw8e/ZM7nOOjo549OgR7t27p1S7urq68PDwQEREhMq19ejRA3p6eti6davKbcjTpUsXODs7Y8GCBVVyZ2sJCwsLnDp1CizLwsfHh679IoTUSBTmCFGRnZ0dACAlJUXuczKZDIDymyCA9+vmUlNT8eDBA5Vq09PTQ+/evbFv3z68fv1apTbkYRgGs2fPxu3btyssMKqLtbU1Tp48icLCQvj6+qr8e0oIIVUVhTlCVFQS5hRtgpBKpRAKhYiNjVW6bV9fXwDAqVOnVK6vf//+yM3NxfHjx1VuQ54uXbrAwcEBCxcuxLt37yqkD3Wxs7PD0aNH8c8//6Bjx44KR1MJIaQ6oTBHiIoaN26M+vXrKwxzOjo6cHBwQExMjNJt29vbo169euU6WsPPzw/169fHjh07VG5DHoZhMGvWLGRkZGDXrl0V0oc6ubm54cCBA0hPT0eXLl1AB4oTQmoKCnOEqIhhGNjZ2Sl1npurqyvi4+OVvqZLIBDAx8cHJ0+eVHrjxOc0NTURFBSEQ4cOobCwUKU2FOnVqxckEgnmzJlTpdfOlfDz88Pu3buRmJgIPz8/5Obm8l0SIYSUG4U5QspBIpEgNTVV4REgrq6uKCws5HREhq+vL+7du4fr16+rXF///v3x4sULHDp0SOU25BEIBFiwYAFu3LiBjRs3Vkgf6tazZ0/s27cPycnJ8PX1pSlXQki1x3uYYxgmiGEYX4ZhRpbx+TOGYU4wDDNF2XcIqSx2dnYoLCxEZmam3OdcXV0BgNNUq4+PDwDVr/YC3h9z0qRJkwqdBu3evTvatm2L+fPn49WrVxXWjzr5+/sjPDwcKSkp6NixI43QEUKqNV7DHMMwQQDAsuzJDz/7lvJYH5Zl/ViWXcLhHUIqhVgsBqB4R2uLFi3QoEEDTpsgWrZsCXNzc5w+fVrl+gQCAfr06YO//vqrwtaIMQyD0NBQZGdn49dff62QPipC165dsX//fiQnJ6NTp060ho4QUm3xPTLnBODWh1/fAtCmlGeMGYZpyeUdhmFGMgxzkWGYi48fP1ZnvYT8D2XvaGUYBi4uLpzCHMMw8Pb2xunTp8t1k0Pfvn1RVFSEgwcPqtyGIl5eXvDx8cHChQtRUFBQYf2oW7du3bB3714kJiaic+fOyM/P57skQgjhjO8wZ/zZz/VLeaYegKcMw6xT9h2WZX9jWdaRZVlHExMTNZRJSOn09fXRsmVLhSNzAODi4oK0tDROI0De3t54+vSpUjdNyOu3WbNm2L17t8ptKCM0NBSPHz/GqlWrKrQfdevRowd2796NixcvwtvbGzk5OXyXRAghnFR4mPuwvm3kZ18lU6O5eB/WyvQhmOUCyP0wxarwHUIqk1gsVmpjg4uLC1iWRXx8vNJte3t7AwAiIyNVro9hGAQHByMiIqJCF/u7urqie/fuWLJkSbVbg9a7d28cOHAAV65cgaenJ7Kzs/kuiRBClFbhYY5l2b0fAtmnXyUruuPx/yNtLQH8z2WUH4Lf59Ooct8hpLJJJBKkp6crvGnB2dkZADhNtZqZmcHa2rpchwcD76da37x5g/Dw8HK1o8j8+fORm5uLZcuWVWg/FaFbt244duwY7t27B3d3d4WbWgghpKrgdZqVZdm9AFqrFtqSAAAgAElEQVR+GKkz/mRTQ0lA2/3h55JND3vLeocQvojFYrx7907hESLGxsawsrLiNDIHvF+Pdv78eaXPqCuNTCaDhYUFtm3bpnIbyrC3t0dgYCBWrlxZLY/8aN++PSIjI5GXlwcPD49yHQtDCCGVhe81c2BZdgnLsidLdqt++Gd+H77nsiyb+CHETZX3DiF8KdnRqsxUq5OTE+cw16FDBxQUFHC62/VzDMNg0KBBOH36NO7du6dyO8qYPXs28vPzq+XoHAA4OjrizJkzKCoqgqenJ6ezAQkhhA+8hzlCqjsrKysIhUKl/qPv7OyM+/fvc1qT1aFDBwDAmTNnVKzwvS+++AIsy1b46JxEIkFQUBBWrlxZbTcT2NnZ4ezZsxAIBPD09ERUVBTfJRFCSJkozBFSTlpaWrCyssKVK1cUPuvk5AQAnEbnGjZsCJFIVK7z5gDAwsICbdu2xZYtW1S+IkxZc+fORWFhIUJDQyu0n4pkY2ODCxcuoEGDBvD19a3w9YaEEKIqCnOEqIFYLFbqeBJ7e3sIhULExcVxar9k3ZyiTRaKDBo0CFeuXMGlS5fK1Y4itra2GD58ONasWYObN29WaF8VqWXLloiOjoZUKkVgYCDWrFnDd0mEEPIvFOYIUQORSITMzEy8ePFC7nM6OjqQSCS4ePEip/Y7duyIFy9eIDo6ujxlIjg4GJqamhU+1Qq8H53T1NRESEhIhfdVkRo0aIDIyEh0794dY8aMwZw5cyp8ZJMQQrigMEeIGtja2oJlWaSlpSl81tHRERcvXuQUCDp06AChUIiIiIjylIl69eqhS5cu2LFjB969e1euthRp3Lgxxo8fjx07dlT4SGBF09XVxf79+zF06FDMnTsXY8eOrfDfP0IIURaFOULUoORar6tXryp81snJCc+ePcOtW7cUPlvCwMAAbm5uOHGi/McqDhw4EPfv38e5c+fK3ZYikydPRt26dTF9+vQK76uiCYVCbNy4EVOmTMGaNWsQGBhYra4uI4TUXBTmCFEDS0tLaGpqKrUJwtHREQBUmmpNTExEee8b9vf3h76+fqVMtRobG2PGjBk4duxYuXfjVgUMw+DHH3/EqlWrcPjwYXh4eFT4US+EEKJIjQ1zDMP4MwzzG5d7MAlRlaamJqysrJQamROJRKhTp45KYY5l2XLfBqGjo4OAgADs3bu33BsqlDF27Fg0bdoU06ZNqzFrzcaOHYsjR47g5s2bKp0dSAgh6lRjwxzLsodZlh1pZGTEdymklhCJREqNzGlpaUEqlXIOczKZDHXr1i33ujng/VRrXl4ejh49Wu62FNHW1sbcuXMRGxuLQ4cOVXh/laVz586Ijo6GtrY22rdvj4MHD/JdEiGklqqxYY6QymZjY4PMzEy8fPlS4bMymQyJiYkoLi5Wun0NDQ14e3vj5MmT5R7h8vb2homJCXbt2lWudpQ1ePBgWFlZISQkhNO/c1UnFosRExMDiUSC3r17Y8WKFTVm9JEQUn1QmCNETWxtbVFcXKzUfZ4ymQz5+fmcz2Dz9fVFVlYWbty4oWqZAN4v5u/Tpw8OHz6MwsLCcrWlbH9z585FSkpKpQXIymJqaorTp0+jV69emDBhAoYNG4ZXr17xXRYhpBahMEeImtjY2AAArl27pvBZmUwGAJzvW/X19QUAnDx5kmN1/9avXz+8ePGi0qY+g4ODIZVKMXPmzBoXdnR1dbF371788MMP+OOPP+Dh4YGsrCy+yyKE1BIU5ghREysrKwgEAk6bILiGOQsLCzRv3lwtYa5du3Zo0qQJdu7cWe62lCEQCLB06VJkZmbil19+qZQ+K5NAIMDcuXMRHh6O9PR0ODo6VsrxL4QQQmGOEDWpU6cOLCwslApzmpqasLOz4xzmGIaBr68vIiMjy31orUAgQN++ffHXX3/h6dOn5WpLWT4+PvD390doaCgePXpUKX1Wtl69eiE2NhbGxsbw8fHBr7/+yndJhJAajsIcIWpka2urVJgD3p83l5CQwHlDgI+PD/Ly8pCYmKhKif9j0KBBePPmTaWuY/vpp5/w4sULzJs3r9L6rGw2NjaIi4tDx44dMWrUKHz11VdKbYwhhBBVUJgjRI3EYjGuX7+u1PltLi4uyM/PV+oKsE95eXkBACIjI1Wq8VP29vaws7PDpk2byt2Wslq3bo2RI0di3bp1Sm0Wqa6MjIxw6NAhzJgxAxs2bICbm1u5N64QQkhpKMwRokZ2dnZ49+6dUpsgXFxcAAAxMTGc+jA1NYVYLC734cElBg8ejNjYWKSnp6ulPWXMnj0b2tramDZtWqX1yQcNDQ0sWLAAR44cQVZWFmQyGfbs2cN3WYSQGobCHCFqJJFIAAApKSkKn7WysoKxsTFiY2M59+Pt7Y0LFy6o5QaHgQMHQiAQYPPmzeVuS1mmpqaYOnUqwsPDERUVVWn98qVr165ISkqCra0tgoODMW7cOBQVFfFdFiGEZ1lZWWq5WpHCHCFq1KpVK9SpUweXL19W+KxAIICzszPnkTng/bq5ly9fqvTu5xo1aoROnTphy5YtlXqg78SJE2FmZoZJkybVioN2mzVrhnPnzmH8+PFYtWoV3N3dkZGRwXdZhBAevHz5EqGhobC2tsaoUaOQm5tbrvYozBGiRkKhELa2tkqNzAHvp1pTU1M5H9zr6ekJgUCA06dPq1LmvwwePBhZWVk4e/asWtpThq6uLubNm4eYmBgcOHCg0vrlk5aWFpYvX469e/fixo0bcHBwwKZNm2pFmCWEACzLYs+ePbCxsUFISAg6d+6My5cvw9jYuFztUpgjRM3EYjFSU1OVetbFxQXFxcWcd6YaGxvDwcFBbWGuR48eMDAwwNatW9XSnrKGDBkCa2trTJ8+HW/fvq3UvvkUGBiIy5cvQyaTYejQoRgwYEC5/2ZOCKnaEhMT0aFDBwQHB8PQ0BCRkZHYt28fmjdvXu62a2yYYxjGn2GY3/Ly8vguhdQyEokE2dnZePbsmcJnnZycAABxcXGc+/Hy8kJMTIxajrzQ1dVFYGAg9u7dW6lHaAiFQixatAjp6elYt25dpfVbFfznP//BqVOnEBoaij179sDe3h7R0dF8l0UIUbOsrCwMHjwYMpkMV65cwdq1a5GYmPjxZAJ1qLFhjmXZwyzLjjQyMuK7FFLLiMViAFBqdK5hw4Zo3ry5SpsgvLy8UFRUhL///pvzu6X54osvkJ+fjz///FMt7SmrZ8+e8Pb2RkhICJ48eVKpffNNQ0MDM2fOxIULFyAQCODh4YFZs2apZWMLIYRfz58/x8yZM2FlZYXdu3djypQpyMjIwDfffAOhUKjWvmpsmCOELyU7WpWdanV2dlZpZM7d3R0aGhpqudoLADp06AAzM7NKn2plGAYrV65Efn4+QkJCKrXvqsLV1RWXLl3C4MGDsWDBAshkMly8eJHvsgghKnjz5g1+/fVXWFpaYuHChQgICEBaWhp+/PHHcq+NKwuFOULUrEmTJjAyMlJ6E4SzszPu3LmDhw8fcurH0NAQbdu2xbFjx1Qp8180NDQwYMAAHD16tNJHyMRiMUaPHo1169Yp/ftW0xgaGuL333/HkSNHkJubC1dXV4SEhNARJoRUE8XFxdi9ezdEIhFGjRqF1q1bIy4uDtu2bVPLujh5KMwRomYMw0AkEuHKlStKPV+ybk6VkZhOnTohKSkJjx8/5vxuaQYMGIC3b99i7969ammPizlz5sDIyAgTJ06s1bs7u3btitTUVHzxxRcIDQ2Fq6ur0qO8hBB+nDhxAs7Ozujbty+0tLRw8OBBnD179uOf7xWNwhwhFaBkR6syoaRNmzZgGEalMOfn5wcAaptqtbe3h7W1NXbs2KGW9rioV68eZs+ejZMnT+LIkSOV3n9VYmxsjD/++APh4eHIzs5GmzZt8MMPP+DVq1d8l0YI+URsbCx8fX3RsWNH5OTkYNOmTUhOTkaPHj3AMEyl1UFhjpAKIBKJ8PTpU6WmTvX19WFjY4P4+HjO/chkMtStWxcnTpxQpcx/YRgGAwYMwLlz53Dv3j21tMnF6NGjYWVlhUmTJuHNmzeV3n9V06tXL6SmpqJv376YP38+pFKp2o6jIYSoLiEhAd27d4erqysuX76MlStXIj09HYMHD4aGhkal10NhjpAKIBKJACi/CcLJyQnx8fGcpxc1NDTg6+uLiIgItU1N9u/fHyzLYufOnWppjwtNTU38/PPPSE9Px9q1ayu9/6rIxMQEW7ZsQUREBN6+fQtvb298+eWXtW7nLyFVQXJyMnr16gVHR0dER0dj4cKFuHXrFsaNG4c6derwVheFOUIqQMnxJFzWzT169AhZWVmc++rYsSOys7Nx9epVzu+WxtLSEq6urvj99995WbvWvXt3+Pj4YM6cOUqd1Vdb+Pn5ISUlBdOmTcPWrVthbW2NzZs3V+oVbITUVsnJyejTpw/s7e1x5swZzJ07F7dv38b06dOhr6/Pd3kU5gipCA0bNkT9+vU5b4JISEjg3Je6180BwLBhw3D16lVejsdgGAbLli1Dbm4u5s+fX+n9V2W6urpYtGgREhMTYWlpiSFDhsDDwwNJSUl8l0ZIjRQXF4eePXvC3t4eERERmDVrFjIzM/HDDz/A0NCQ7/I+ojBHSAVgGAa2trZKj5bZ2dlBKBSqFJ7Mzc1haWmp1jAXHBwMbW1t/PHHH2prkws7OzsMHz4cq1atUtuIY00ikUgQFRWFjRs34saNG5DJZBg1ahRNvRKiJhcuXECnTp3g4uKC8+fPY968ebhz5w7mz5+PunXr8l3ev1CYI6SCiEQiXL16VampSm1tbYjFYpVHwnx9fXHmzBm1bRowMjJCQEAAduzYwdsOyoULF8LAwABjx46t1UeVlEUgEODLL7/E9evXMW7cOKxfvx5WVlZYu3ZtrbrnlhB1KS4uxpEjR+Dp6flxxHvx4sW4c+cOQkJCKuzAX3WgMEdIBbG1tcWzZ8/w4MEDpZ53dHREQkKCSsHF19cXBQUFKt0kUZahQ4fi2bNnOHz4sNra5MLExAQLFizA6dOnsXv3bl5qqA6MjY2xYsUKJCUlwc7ODqNHj4ZEIsGhQ4coBBOihKKiImzevBl2dnbo3r07bt++jeXLl+P27duYOnUqDAwM+C5RoRob5hiG8WcY5re8vDy+SyG1VMmOVmWnCWUyGZ48eYI7d+5w7svb2xsMw6h1qtXb2xtNmzblbaoVAEaOHIk2bdpg4sSJeP78OW91VAcSiQSRkZEIDw9HcXExevbsCU9PT5Xu/SWkNsjPz8fy5cthYWGBIUOGgGEYbN68GTdv3sT48eOhq6vLd4lKq7FhjmXZwyzLjjQyMuK7FFJL2draAlB+R6ujoyMA1W6CqFu3LhwdHdUa5jQ0NDBo0CAcO3ZM6dFFddPQ0MDq1atx//59LFiwgJcaqhOGYT6eTbd27VrcuHEDrq6u6N+/PzIzM/kuj5AqITMzExMmTEDTpk0xceJEtGzZEkeOHMHly5cxaNAgaGpq8l0iZzU2zBHCN1NTU9StWxfXrl1T6nmxWAyhUIjExESV+vP29kZMTAwKCgpUer80gwYNQnFxMS83QpRwdXXFkCFDsHz5cmRkZPBWR3WiqamJb775Bjdu3MCsWbNw4MABWFlZYdSoUbwcBk0I31iWxfnz5xEYGAhLS0uEhYXB398f8fHxOHv2LLp27VqpNzaoG4U5QioIwzCwsbFROsyVbIJQNcz5+Pjg7du3uHDhgkrvl8bGxgaOjo7YsmWL2tpUxaJFi6ClpYWJEyfyWkd1Y2BggPnz5yMjIwMjRozAhg0bYGlpifHjx/M22kpIZXrx4gU2bNgAmUwGT09PnDlzBlOnTsXt27exbdu2jzMi1R2FOUIqEJfjSYD397SqugmiXbt20NLSwqlTpzi/K8/gwYORlJTE62XvjRs3RkhICA4fPozjx4/zVkd11aRJE6xZswbXr1/HwIEDERYWhpYtW2LKlCkU6kiNlJGRgYkTJ6JJkyb46quv8ObNG6xduxZZWVlYuHAhmjRpwneJakVhjpAKZGNjg8ePHyMnJ0ep59u0aYOcnByVpsJ0dXXh5uaGyMhIzu/K069fPwiFQt5H57777jtYWlriu+++Q1FREa+1VFfNmzfHhg0bcO3aNQQGBmLp0qVo3rw5Ro0ahVu3bvFdHiHl8ub/2rv3uCir/A/gn8OAKKmgoogLEsht8IJy0zZRAUGy2MzQttyUTMGsddty89d2Wa3NLHu1l67imqDpT7E2Tf2tCZmmUnHxfkFURDQvKQiUeGM8vz8YWCKFuTwzz8zweb9e8wpmnnPO94Q8fj3nOefcuIHPPvsMycnJCAoKwjvvvIOkpCRs27YN+/btw4wZM+xqUYMxmMwRWVDjIghDp1ojIyMBmHYSBNAw1bp7925UVVWZVP5WevbsieTkZKxYsQI6nU6xeo3l6uqKv//97zhy5Ajefvtt1eJwBEFBQVi+fDlKSkowZcoUfPTRRwgKCsKjjz7KTZrJ7hw7dgzPP/88fH19MX78eBw4cABz585FRUUFVq9ejREjRtj183CGYDJHZEFarRaA4clceHg4NBqNyZsHx8XFQUqJbdu2mVT+dh599FF8//33+PrrrxWt11j33nsvxo0bh1deeQXl5eWqxuIIgoKCsGjRIpSXl+OPf/wjPvvsMwwYMAD3338/tm7dyn3qyGbV1dVh5cqVSEhIQFBQEN58803ExMTg888/R3l5Of7yl7/A29tb7TCthskckQX5+vrCzc0NJSUlBl3fqVMnDBo0yOS9wWJiYuDm5oavvvrKpPK3k5KSgi5duuDjjz9WtF5T/OMf/4CTkxNPhlCQt7c33nrrLZSXl+PFF1/Ezp07ERcXh4iICGRnZ+PatWtqh0jUtCJ12rRp6N27NyZNmoSysjK8+uqrqKiowOeff46UlBQ4OzurHarVMZkjsiAnJyeEhIQYPDIHAEOHDkVBQQFu3rxpdHsdOnTA3Xffrfhzc506dcL48ePxySef4MqVK4rWbay+ffti3rx52LhxI9auXatqLI7G09MTr7zyCk6dOoXMzExcv34daWlp8PPzw7x583DmzBm1Q6R26NixY3jllVcQFBSEESNGYNWqVRg/fjy++uorHD9+HC+++KLDLWgwFpM5IgsLDQ01eGQOaBhdq62txZEjR0xqLyEhAQcPHsTZs2dNKn87kydPRm1tLT777DNF6zXFrFmzMGjQIMyaNUvRffWoQadOnTB9+nQcOHAAmzdvRkREBObOnYu+ffvigQcewKZNm0z6xwaRoc6cOYO//e1viImJQVBQEP7yl7+gb9++yM7Oxrlz55CVlYVRo0bByYlpDMBkjsjitFotTp48ibq6OoOuHzp0KACYPNU6ZswYAMDmzZtNKn87o0aNgr+/PxYvXqxovaZwcXHBhx9+iNOnT2Pu3Llqh+OwhBBITEzE//3f/+Ho0aN49tlnsXPnTtxzzz3o168f5s+fz61NSDHnz5/HokWLmo4SfOaZZ6DT6bBw4UJUVFRgy5YtmDx5Mjp37qx2qDaHyRyRhYWGhkJKidLSUoOv79KlCwoLC01qLzw8HF5eXoonc05OTpg6dSq2bt1qE9tY3HXXXZg+fTr+/ve/q7oHXnsRGBiIN954A6dOncKqVavg7++PF154AT4+Prj33nuRk5ODq1evqh0m2ZkzZ87g3XffRVxcHPr06YMZM2bg+++/x8svv4ySkhIUFxdj9uzZ8PX1VTtUm8ZkjsjCQkJCAMDgqVYnJydERUWhoKDApPYaR1Nyc3MVnwprPIw6KytL0XpNNX/+fLi7u3MxhBW5urrioYcewpYtW1BSUoLnnnsO+/btw0MPPQRvb2/MmDED+fn5/HnQbR05cgQLFy7E8OHD4ePjg9///vf44Ycf8OKLL2Lfvn0oKSnB3Llzm+6d1DaHTeaEEClCiMyamhq1Q6F2LiQkBBqNBgcPHjS4THR0NPbu3WvyKsKkpCRcuHABe/fuNan87fj6+iIxMRHZ2dk28cyUp6cn5s+fj23btql6fmx7FRISgvnz56O8vBy5ubm47777sHz5ctx999248847MXv2bBQUFDCxa+fq6+vx9ddfY/bs2QgODkZoaCiee+45XL58Ga+88goOHTqEgwcPYt68eRg4cKDD7wlnEVJKh35FRkZKIrVptVo5btw4g69fs2aNBCALCgpMau/MmTMSgFywYIFJ5Vvzv//7vxKAzM3NVbxuU9TX18uoqCjp5eUlKysr1Q6n3autrZXZ2dnyvvvuky4uLhKA9PPzk7Nnz5bffPON1Ol0aodIVnDq1Cn5r3/9S6ampkp3d3cJQLq4uMgxY8bI9957T548eVLtEG0WgCJpZK4jpIP/iykqKkqaugErkVImTpyI3bt34+jRowZdX1FRAT8/P7z33nuYOXOmSW0OGjQIPXv2VPys1qtXr8Lb2xtjx47FihUrFK3bVHv37kVUVBR+97vfYenSpWqHQ3rV1dVYt24dcnJysHnzZtTX16NXr14YO3YsUlJSkJSUxIfZHcRPP/2EHTt2IC8vD1988UXTc6x9+vRBcnIy7rnnHiQlJaFr164qR2r7hBDFUsooY8o47DQrkS0ZMGAAjh8/bvCKVl9fX/Tq1cvk5+aAhqnWHTt24PLlyybXcSsdO3bEI488gn//+9+wlccYwsPDMWfOHGRlZSE3N1ftcEjPw8MDU6ZMwcaNG/HDDz807di/du1aPPjgg/D09MS9996Lf/7znygpKeF0rB25evUqtm7dipdffhnDhw9Ht27dcM899+Cdd96Bl5cXFi5ciP379+P06dNYsmQJUlNTmchZEEfmiKzg008/RWpqKoqKiprOX23Lfffdh/LycpNXan7xxRdITk7Gpk2bmrYrUUpBQQGGDh2KxYsXY9q0aYrWbaqrV69i0KBB0Ol02L9/v8MeqO0I6uvrsWPHDqxbtw7r16/H8ePHAQA+Pj5ITExEUlIS4uPj0atXL5UjpUaXLl1Cfn4+duzYgR07dqCgoADXr19vWrAVHx+PuLg4DB8+nL97ZjJlZI7JHJEVlJSUQKvVIjs7G5MnTzaozNy5c/Hqq6+ipqbGpKmouro6dOvWDbNmzcLChQuNLt8aKSXCwsLg6emJ7du3K1q3ObZu3Yq4uDj8z//8D15//XW1wyEDnThxArm5udi8eTO+/PJLVFdXA2hYYBEbG4sRI0YgNjYWfn5+fDjeCurr63Hw4EF89913KCgowLffftu0gMvZ2RlRUVEYPnw4YmNjMXLkSLi7u6scsWNhMncLTObIFtTX1+OOO+7A008/jTfeeMOgMhs2bEBKSgq+/vprxMbGmtRufHw8qqqqsGfPHpPKt2bBggV4/vnncezYMfTr10/x+k31+OOPIzs7G7t27cKgQYPUDoeMpNPpUFxcjK1bt2L79u3YsWNHU3Ln4+ODoUOHIjo6GtHR0YiMjGQiYabr16/j8OHD2LNnD/bs2YOioiIUFxc3HdvXvXt3xMTE4O6778bw4cObzn8my2EydwtM5shWDBo0CL6+vti4caNB1589exZ9+vTB22+/jT/+8Y8mtTl//ny88MILOH/+vOJTVqdPn0bfvn3x0ksvYd68eYrWbY6qqiqEhobC398f+fn50Gg0aodEZrh58yYOHDjQlNgVFhY2TcsCDZtsR0ZGYuDAgU0vHx8fjuC1cPPmTVRUVODQoUM4dOgQDhw4gL179+LgwYO4ceMGgIZj3MLDwzF06FAMHToUMTExCAgI4P9LK2MydwtM5shWPPLII8jPz0d5ebnBZXx8fDBixAisXLnSpDYLCwsRExODlStX4uGHHzapjtYkJibi2LFjKCsrs6kb/sqVKzFp0iS88847eOqpp9QOhxRWWVmJoqIiFBYWoqCgAHv27MGpU6eaPvfw8MDAgQOh1WoRHByMkJAQBAcHw9/fHy4uLipGbllSSlRWVuLYsWM/e5WUlKCkpORni6G8vLwwePDgn72CgoL4jx8bwGTuFpjMka3461//ipdeegk//vijwc/AjRs3DocPH8aRI0dMalOn08HT0xOpqakWOVP1448/xqOPPort27dj+PDhitdvKiklxowZg2+//RYlJSXo06eP2iGRhV26dAkHDhzA/v37sW/fPuzfvx+lpaW4ePFi0zXOzs6488474efn97NX37590adPH/Tu3Rtdu3a1qX+YNJJSora2FufOncP58+dx+vRpVFRU4NSpU6ioqEBFRQVOnjz5sxXmQgj4+voiJCQEWq0W/fv3R1hYGLRaLXr06KFib6g1piRzzpYKhoh+rn///gCAw4cPIzo62qAykZGRWLduHWpra01a1q/RaDBq1CjF95prNG7cOLi5uSE7O9umkjkhBN5//30MHDgQGRkZ+Pzzz23yL2hSTrdu3RAbG/uL50urqqpQWlqKI0eOoLS0FMePH8fJkyfxn//8B2fPnv1FPa6urujduze8vLzQq1cveHh4oFu3bj/7b+fOndGpUye4ubnBzc0NnTp1QseOHaHRaJpeTk5O0Gg0uHnzJnQ6Herr65te169fR11dHS5fvtz038uXL6OmpgaXLl3CpUuXUF1djUuXLqGyshLnz5/H+fPnb3kiTPfu3eHr6ws/Pz/ExsYiMDCw6eXv7w9XV1eL/T8n28FkjshKwsLCAACHDh0yKpkDgN27d2PkyJEmtRsfH4+1a9fixIkT8Pf3N6mO2+ncuTMmTpyIVatW4W9/+5tNbQAbGBiI1157Dc8++2zTCCK1P927d8ewYcMwbNiwX3x27do1nDp1CidPnsS5c+eaRr2aj34dOHAAly5dstqeik5OTk2JY7du3dC9e3eEhoY2JZiNLx8fH/j6+trU7xypR/VkTgiRCqAaQICUMrPFZxEA1ug/B4A8KeUcIcQlAEUAcqWUb1o1YCIT9evXD4QMApsAABpFSURBVB06dMChQ4cMLtOYzBUXF5uczCUkJAAAtmzZgscff9ykOlozffp0ZGVlYfXq1Rap3xx/+MMf8Omnn2LWrFkYPXo0vL291Q6JbIirq2vTKFZbdDodamtrUV1djcuXL+PKlSuoq6tDXV0drly5gqtXr0Kn00Gn0zWNxul0Ojg5OcHZ2bnppdFo4OLigjvuuANubm5N/3Vzc4O7uzu6dOkCJyfu50/GUfWZOX0iBynlJ0KIdABlUsq8Zp+Pbvxen9hVSynLmr/fFj4zR7Zk0KBB6Nu3LzZs2GBwGR8fH4wcOdLko7OklOjTpw/i4uJMXkjRVv0DBw5E586d8e233ypev7lKS0sRHh6OxMRErFu3jtOtRGTT7PE4r2gAZfqvywBENP+wRcIWIKVsvNZDCBFwu0qFEOlCiCIhRNGFCxcUDZjIHGFhYUaNzAENo3PFxcUmtymEQHx8PLZs2WKR45KEEJg+fTq+++47k0+rsKTg4GC89tprWL9+PVatWqV2OEREilM7mfNo8f0tl9cIIdKllJ80e6s7gCohxKJbXS+lzJRSRkkpo3r27KlQqETm02q1KC8vb9qQ0xCRkZEoLS3FTz/9ZHK7cXFxOH/+PEpKSkyuozWTJk2Ci4sLPvroI4vUb64//OEPiImJwaxZs362upGIyBFYPJkTQqTqR8qav0brP65GQ2LWlsTm3+iTtWoA1Y1TtUT2ICwsDFJKo7YaiYiIgJQSe/fuNbnd+Ph4AA3PzVmCp6cnxo0bh+XLl+P69esWacMcGo0GS5YsQU1NDZ5++mm1wyEiUpTFkzkp5Sf65Kv5q3H6tBD/HZ0LAJDbsrwQwqPF9+n65+eI7I5WqwXQsD2JoSIiGv6479q1y+R2/f39ceedd2Lz5s0m19GWqVOn4uLFi/j8888t1oY5BgwYgD//+c9YsWKFwadwEBHZA1WnWfVTpwH6kTqPZosdmid13QFUNfs+R39NarM6iOxCUFAQnJycjHpuztvbG15eXmYlc0IIJCcnY8uWLRYbOUtMTISPj4/NTrUCwPPPP4/+/fsjPT0dVVVVbRcgIrIDaj8zBynlm1LKvOZbjEgpE5t9XSalzGj2fbWUcpd+xG+OteMlMoerqyv69etn1MicEAIRERFmLYIAgDFjxuCnn35Cfn6+WfXcjkajQVpaGr744gucPn3aIm2Yy9XVFcuWLcMPP/yAmTNnqh0OEZEiVE/miNobrVZr9EKEIUOG4NChQ0YtnGgpPj4eGo3GolOtaWlpuHnzJj7++GOLtWGuiIgIzJ07F6tXr8bq1avVDoeIyGxM5oisTKvVorS0FPX19QaXiYmJgU6nw+7du01ut2vXrrjrrrssmsz169cPsbGxyMrKssg2KEqZM2cOYmJiMHPmzFse6UREZE+YzBFZWWhoKG7cuIETJ04YXCYmJgYAUFBQYFbbSUlJ2LVrFyy5/2JaWhqOHDlikxsIN3J2dkZ2djbq6uqQnp5u04knEVFbmMwRWZkpK1q9vb3h4+OjSDInpcSXX35pVj2tmTBhAtzc3JCVlWWxNpQQGhqKBQsWYMOGDVi6dKna4RARmYzJHJGVhYaGAjAumQMaRue+++47s9qOioqCh4cHvvjiC7PqaU2XLl3w4IMPYtWqVWY942cNv//97zFq1Cg8/fTTOHnypNrhEBGZhMkckZW5u7ujd+/eRm0cDDQkc2VlZaisrDS5bY1Gg9GjRyMvL8+iU4tTp05FbW0tPvnEtncOcnJywtKlSyGlxLRp0zjdSkR2ickckQpCQ0ONXtEaFdVw7rK5W5SMHj0ap0+fRmlpqVn1tGbkyJEIDg7GokW3PHHPptx5551YuHAh8vLy8MEHH6gdDhGR0Rw2mRNCpAghMmtqatQOhegXGpM5Y0aCIiMjAQCFhYVmtZ2Y2LCNY15eXhtXmk4IgfT0dOzcuRMHDx60WDtKycjIQHJyMp599lm7iJeIqDmHTeaklOullOnu7u5qh0L0CyEhIbh06ZJRh757eHggODjY7GQuICAA/v7+yM39xel5ipoyZQo6dOiAzMxMi7ajBCEEsrKy0LVrVzz88MO4evWq2iERERnMYZM5IlvWuAjC2KnW6Ohos5M5oGGq9auvvjJqrztjeXp6Yvz48Vi2bJnNL4QAAC8vLyxduhT79+/HnDk8XIaI7AeTOSIVhISEADAtmTtz5gzOnDljVvuJiYmora1FUVGRWfW0JSMjA9XV1Ta/EKLR2LFjMWvWLPzzn/+06IpfIiIlMZkjUkHfvn3h6upq9CIEpRZBxMXFAYBF95sDGhZCBAYGYsmSJRZtR0kLFixAWFgYHnvsMbNWDhMRWQuTOSIVaDQaBAUFGb09yeDBg+Hk5GR2Mufp6Ynw8HCLJ3NCCEydOhXbtm3D0aNHLdqWUjp16oQVK1bg4sWLyMjI4HYlRGTzmMwRqSQkJMToZO6OO+6AVqtVZHo0ISEB+fn5Fn+ebcqUKdBoNPjoo48s2o6SBg8ejFdffRWffvopli9frnY4REStYjJHpBKtVovjx48bvXIyKioKRUVFZo8YJSQk4Nq1a8jPzzernrb06dMH9957L7Kysiy64EJps2fPRmxsLJ588kmL7slHRGQuJnNEKunfvz90Op3Ro3ORkZE4f/48vv/+e7PaHzFiBJydnS0+1QoAjz/+OM6dO4eNGzdavC2laDQarFixAq6urpg4cSK3KyEim8Vkjkgl/fv3BwAcOnTIqHKNmweb+9xc586dERMTgy1btphVjyHGjh2L3r17292B9r6+vli2bBn27t2LP/3pT2qHQ0R0S0zmiFQSHBwMjUZjdDIXHh4OJycn7Nq1y+wY4uPjUVRUhOrqarPrao2zszMmT56MDRs24Ny5cxZtS2ljx47FM888g3fffRdr165VOxwiol9gMkekEldXVwQGBhqdzN1xxx0IDQ1VJJlLSkqCTqezyujcY489Bp1Oh48//tjibSnt9ddfR2RkJKZOnYqKigq1wyEi+hkmc0QqCgsLMzqZAxqmWs2dZgWAYcOGoWvXrti0aZPZdbUlNDQUv/71r5GZmYmbN29avD0ldejQAatWrcKNGzcwadIku1rIQUSOj8kckYrCwsJw9OhRXL9+3ahykZGROHv2LM6ePWtW+y4uLkhISMCmTZussp/aE088gaNHj1plJFBpgYGBWLRoEXbs2IF58+apHQ4RUROHTeaEEClCiMyamhq1QyG6rbCwMOh0OqO3voiIiAAA7N692+wYxowZg1OnThm9qtYUqamp8PT0xIcffmjxtizhkUceQVpaGl577TV89dVXaodDRATAgZM5KeV6KWW6u7u72qEQ3ZZWqwUAHD582KhygwcPBgDFnpsDgM2bN5tdV1s6duyItLQ0rF271uxRRbW88847CA4OxsMPP2y3fSAix+KwyRyRPQgJCYEQwuhkrkuXLggKClIkmfP390dQUJDVDpZPT0+HTqezqxMhmuvcuTM+/fRT/Pjjj3jooYdw48YNtUMionaOyRyRitzc3ODn52d0Mgc0TLUqMc0KNIzObd26FdeuXVOkvtYEBQUhISEBmZmZ0Ol0Fm/PEvr374/MzExs374df/7zn9UOh4jaOSZzRCoLCwszOZkrLy9HVVWV2TEkJSWhrq7O4kd7NcrIyEBFRYXVRgMtYdKkSZg5cybeeustfPbZZ2qHQ0TtGJM5IpVptVqUlJQYPUo1ZMgQAMosgoiLi4Ozs7NVnpsDgPvvvx9eXl52uxCi0dtvv42YmBikpaXh+PHjaodDRO0UkzkilWm1Wly7dg0nT540qlzjIgglkrkuXbpg2LBhyMvLM7suQ3To0AFpaWnYuHGj2WfMqsnV1RU5OTlwcnLCxIkTrTJNTUTUEpM5IpWFhoYCAEpKSowq17NnT/j5+aGwsFCROBITE1FcXIzKykpF6mvLtGnTcPPmTbs7r7UlPz8/ZGdnY9euXXjmmWfUDoeI2iEmc0Qqa0zmTHluLjo6WrFkbvTo0ZBSWm3/tMDAQMTHx2PJkiV2dyJES7/5zW/w7LPP4v3337f75JSI7A+TOSKV9ejRAz179jR6ZA4AYmJicOLECVy4cMHsOGJiYtC1a1fk5uaaXZehpk+fjvLycqtN71rSggULkJCQgBkzZuC7775TOxwiakeYzBHZAK1Wa/LIHABFRuecnZ0RFxdn1WTugQceQI8ePbB48WKrtWkpzs7OWL16Nfr06YPx48fj3LlzaodERO0EkzkiGxAaGmrSyFxkZCSEECgqKlIkjoSEBJw4cQInTpxQpL62uLq6YvLkyVi3bp0io4tq69GjB9auXYtLly5h4sSJ3FCYiKyCyRyRDQgNDUVlZSUuXrxoVLkuXbogNDRU0WQOAL788ktF6jPE9OnTcePGDSxZssRqbVpSeHg4Fi9ejO3bt+NPf/qT2uEQUTvgsMmcECJFCJFZU1OjdihEbQoJCQEAkw67j4qKUiyZ02q18Pb2tmoyp9VqERcXhw8//NBuT4RoadKkSZg1axb+8Y9/YOXKlWqHQ0QOzmGTOSnleilluru7u9qhELXJ1O1JgIZk7uzZs4rs1yaEQEJCAr788kurrjB98skncfLkSWzcuNFqbVraW2+9hdjYWEybNg179+5VOxwicmAOm8wR2RM/Pz+4urqanMwBUHSq9cKFCzhw4IAi9Rni/vvvx69+9Su89957VmvT0lxcXJCTk4Nu3bohJSWFCyKIyGKYzBHZAI1Gg6CgIJOmWQcPHgyNRqPYfnNqPDfn7OyMjIwMbN68GUePHrVau5bWu3dvbNiwAZWVlXjggQdw9epVtUMiIgfEZI7IRgQHB5uUzLm5uSEsLAzFxcWKxOHr64vg4GCrndPaaNq0aXB2dsaiRYus2q6lDRkyBMuWLcO3336LjIwMSCnVDomIHAyTOSIbERISgrKyMpO2s4iMjERxcbFiiUJycjK2bduGK1euKFKfIby9vTFu3DgsXbrU4UawHnzwQcybNw/Lli3DW2+9pXY4RORgmMwR2YiQkBDU19ejrKzM6LKRkZG4cOECTp8+rUgsycnJuHLlCrZv365IfYaaMWMGqqqqsGbNGqu2aw0vvfQSJkyYgDlz5jjUQg8iUh+TOSIbYe72JAAUm2odOXIkXF1dsWnTJkXqM1R8fDyCg4PxwQcfWLVdaxBCICsrC4MHD8bDDz+MQ4cOqR0SETkIJnNENsKcZC48PBwajUaxFa1ubm4YMWKE1ZM5IQRmzJiBb775xiG383Bzc8O6devg5uaGlJQUozeJJiK6FSZzRDaiW7du6Nmzp0mrOTt16oSwsDDs3r1bsXjGjBmDw4cP49SpU4rVaYgpU6bA1dXVIc5rvRVfX1+sXbsWZ86cwf333+9wzwcSkfUxmSOyIcHBwSgtLTWpbEREhKKLIJKSkgAAubm5itRnqO7du2PChAlYvnw5Ll++bNW2rWXYsGFYtmwZ8vPzMWXKFKtu0ExEjofJHJENMTeZO3/+PM6ePatILAMGDIC3t7fVtygBgPT0dNTW1iInJ8fqbVvLhAkT8OabbyInJwcvvPCC2uEQkR1jMkdkQ4KDg3H27Fn8+OOPRpeNiIgAAOzatUuRWIQQSEpKQm5urtXPTB0+fDjCwsLw/vvvO/S+bLNnz0ZGRgYWLFjgsNPKRGR5TOaIbEhwcDAAmDQ6N3jwYAghFFvRCjRMtVZVVSlapyGEEHjqqadQVFSEb775xqptW5MQAu+++y6Sk5PxxBNPqDIKSkT2z2GTOSFEihAis6amRu1QiAwWFBQEwLRkrnPnzggODlZ0EcTo0aMBAHl5eYrVaahHH30U7u7uePfdd63etjU5OzsjJycH/fv3x4QJE7hlCREZzWGTOSnleilluru7u9qhEBksKCgIQgiUlJSYVH7IkCGKJnO9evVCeHi41RdBAA3J6WOPPYY1a9Yo9hygrerSpQvWr18PNzc3JCcnK7b5MxG1Dw6bzBHZo44dOyIgIACHDx82qXxERAQqKipQWVmpWEyJiYnYuXOnKitLn3zySdTX1yMzM9PqbVtb37598Z///Ac1NTUYM2YMqqqq1A6JiOwEkzkiG6PVak1O5oYMGQIA2LNnj2LxJCYm4saNG/j6668Vq9NQgYGBuOeee/Dhhx/i+vXrVm/f2gYPHox169bh2LFj+M1vfoO6ujq1QyIiO8BkjsjGaLVaHDlyBPX19UaXbUzmlFrRCgCxsbFwdXVV5bk5AHjqqadw7tw5/Pvf/1alfWsbNWoUVq5cifz8fPz2t7816c8BEbUvTOaIbExYWBhu3LiBsrIyo8v26NEDvr6+ij4316lTJwwfPlyV5+YAIDk5GYGBgQ6/EKK5Bx98EO+99x7Wr1+PmTNnOvT2LERkPiZzRDYmNDQUAMxaBKH0uaYJCQnYv38/fvjhB0XrNYSTkxOeeOIJ7Ny5E/v27bN6+2p54okn8MILL2Dx4sX461//qnY4RGTDmMwR2ZjGZM6c5+ZKSkoUXbDQuEXJli1bFKvTGGlpaejYsSM++OADVdpXy6uvvorJkyfj5Zdfxvvvv692OERko5jMEdkYDw8P9O7d2+SRuaioKNy8eVPR5+YiIiLg4eGh2nNz3bt3x29/+1ssX74ctbW1qsSgBiEE/vWvfyElJQVPPvkkli1bpnZIRGSDmMwR2SBzVrRGR0cDAAoLCxWLR6PRYNSoUcjLy1Pt+a2ZM2fi8uXLWL58uSrtq8XFxQU5OTmIj4/HY4891m4WghCR4ZjMEdmgu+66C7169TKprJeXF4YNG6ZwRMCYMWPQu3dv1UbGoqOj8etf/xpnzpxRpX01dezYEevWrcPQoUPxwQcfcEEEEf2McPSbQlRUlCwqKlI7DCK7J6WEEELVGHQ6HTQajaoxqKm6uhodOnSAm5ub2qEQkYUIIYqllFHGlFF9ZE4IkSqEuO2eB/rPRwsh0lt7j4gsS+1EDkC7TuSAhucpmcgRUUs2MTInhMiVUibe4v1UAJBSfqJP3MoAeLR8T0qZ16JcOoDGRG8AgANGhOMOoMaC11urDU8AFy3YBvttW22w35Zpg/22rTbYb8u0wX7bVhshUsouRpWQUqr+ApB7m/ffABCh/3o0gOdu9V4bdRcZGUumJa+3Yhvst+3ExH6z3+w3+81+s98W6beUUv1p1jZ4tPi+x23eIyIiImqXnC3dgH6qtHuLt38xNXob1bcoe6v3iIiIiNoliydzUspPzCheiP+OxAUAyNV/3/I9Ja238PXWasNY7LdlrrdWG8Zivy1zvbXaMBb7bZnrrdWGsdhvy1xvrTaMpvoCCCHEaABrAExvTPyaL4gQQjwHYBcanpN783bvtVJ/kTRyia8jYL/bF/a7fWG/2xf2u30xpd8WH5lri366tVuL9xKbfd2YrOW19h4RERFRe2TrCyCUkKl2ACphv9sX9rt9Yb/bF/a7fTG636pPsxIRERGR6drDyBwRERGRw2IyR0RERGTHmMwRERER2TGHSeaEEKlCiNH6c1mN/txetdYvIYSHECJCf80basRnKYb+PNtbv5v9vFOtHZsltfPf79vupdke+90O7mtt7p3a3vrt4Pc1RX6/HSKZa/wBN54qod+7zuDP7ZUB/ZoIIKrZ/n0OccM39Oepfz/AiqFZlIH9fl7/8+4uhHCIvhvw+z0a/z1VpkwIEWH9KC2jtU3XHfW+BrS52bxD3tcAwzbZd7T7GmBQvx3uvga0+ftt1H3NIZI5ANEAyvRflwFo2em2PrdXrfZLSpkppWxc4hzQ7Fp71+bPU/8L7yj9bdRqv/V/qRUKIQL0P3tH6X9bP+8iAGv0N7sAKeUuawanIke9r7XKge9rbXLQ+1qrHPi+1haj7muOksx5tPi+h5Gf2yuD+qW/AVQZeB6uPTCk3wEO+EvfVr/76d+rEkIsEkK0vN5etdpvKWU1gEVoOEkm0lpB2QBHva8ZxAHva4ZwxPtaWxz1vtYqY+9rjpLMVQPobsbn9srQfqVKKTMsHYwVtdpvIcRoB73BG/LzPq6/CRQDcJTppzZ/3gDypJT9AFQ72nM1rXDU+5qhHO2+1ioHvq8ZwhHva60y9r7mKMlcIf77r9QAAC0fKGzrc3vVZr+EEKnNzrR1lGmYtvpdpX9oNBVAQDvqd2Gzrz3Q8Je9I2ir3xHNpiBeR/tJcBz1vtYmB72vtcVR72ttcdT7WluMuq85RDKnf4gwQJ/JejR7IDi3tc/tXVv91r//hhCiWAhRDAf5S86An/cu/Xvd8cupKLtl4J9zj8YH4Zs9V2TX2uo3gEwhRLr+84mO0m+g6Xc4qvm/yh39vga03m9Hva8Bbf68HfK+Bhj059zh7mtA6/2Gkfc1HudFREREZMccYmSOiIiIqL1iMkdERERkx5jMEREREdkxJnNEREREdozJHBEREZEdc1Y7ACIiW6A/UWARGvaxWo2GLSAiAczRb1ja/NpUNGzoWW1sWSIipXFkjogIgP6YpGoAr0spP9Hv61QM4I1bXB7QPEkzsiwRkaKYzBER/VfzXdeBhnMhjze/QH825K1G29osS0RkCZxmJSJC01Rpmf5rDwCj0XAmZMud1ycCyDGxLBGR4pjMERE1iABQpj8+JwBAPynlnFtc53GL5+AMLUtEpDgmc0REDRIBrGl+9qsQ4meJW/MROEPL6kfq0vXldumfryMiUgyfmSMiajC6xWH1AfjlIe6p+oO/jSmbDiBTXy5DsWiJiPSYzBFRu6cfPWspQEpZph+NM6dsdLPRvVbrIiIyBZM5ImrX9AnX8wB26Z95a5Sp/95Df10EgF2mlG3mVokfEZFZhJRS7RiIiGyeEOI5KeWbppRDwzRrtRBijZRyggXCI6J2jAsgiIgsKxPARCFEFYDX1Q6GiBwPR+aIiNqgn2JFi02BiYhsApM5IiIiIjvGBRBEREREdozJHBEREZEdYzJHREREZMeYzBERERHZMSZzRERERHbs/wF/zf0w+9JCzAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "tmp = potential.plotPotentials(miyamoto,\n",
    "                         rmin=0.0,rmax=1.8,\n",
    "                         zmin=-1.0,zmax=1.0,\n",
    "                         nrs=101,nzs=101,\n",
    "                         justcontours=True,\n",
    "                         levels=levels,\n",
    "                         effective=True,\n",
    "                         Lz=Lz)\n",
    "\n",
    "#o1.plot(overplot=True)\n",
    "#2.plot(overplot=True)\n",
    "#o.plot(overplot=True)\n",
    "o4.plot(overplot=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = subplot(111, projection=\"3d\")\n",
    "#o1.plot3d(overplot=True)\n",
    "#o2.plot3d(overplot=True)\n",
    "#o3.plot3d(overplot=True)\n",
    "o4.plot3d(overplot=True)\n",
    "ax.view_init(30)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "There is an entire phase space area which is available inside the second black contour which is energetically available to the particle, and yet these two orbits seem to occupy a different part of the phase space. In disk potentials, we get a third integral of motion in addition to $E$ and angular momentum, $L_z$. The orbits displayed above have a different value for this third integral of motion.\n",
    "\n",
    "Writing down this integral is quite tedious, but there is another tool which can be used to identify these integrals of motion, introduced by Henri Poincare - surfaces of section."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- Develop intuition by playing with the orbits above in these different potentials.\n",
    "- Use prolate and oblate potentials and then look at the orbits by using the above piece of code."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Surfaces of section\n",
    "\n",
    "Surfaces of section can be used to show that indeed a third integral of motion exists for many of these orbits. In the meridional plane, we start with a total of 4 phase space coordinates. The energy of a given particle, can be used to get rid of one phase space coordinate, say $\\dot z$, reducing the dimension of available phase space to 3. Now let us consider the intersection of this three dimensional surface with the plane $z=0$. This will be some two dimensional surface in the $(R, v_R)$ plane.\n",
    "\n",
    "For every orbit, one can make a scatter plot of points in this plane, when the value of z is close to zero. We observe that many of these orbits do not cover a two dimensional surface in the $(R, v_R)$ plane but instead a curve even after many orbits. This shows that there is a non-classical third integral of motion for these orbits.\n",
    "\n",
    "### Code for surfaces of section"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, '$v_R$')"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def sos(R,z,vR):\n",
    "    sign1 =np.sign(z[1:])\n",
    "    sign2 = np.sign(z[:-1])\n",
    "    idx = (sign1*sign2 == -1) & (sign2<0)\n",
    "    return (R[1:][idx],vR[1:][idx])\n",
    "\n",
    "sos_R,sos_vR=sos(o1.R(ts),o1.z(ts),o1.vR(ts))\n",
    "scatter(sos_R,sos_vR)\n",
    "\n",
    "sos_R,sos_vR=sos(o2.R(ts),o2.z(ts),o2.vR(ts))\n",
    "scatter(sos_R,sos_vR)\n",
    "\n",
    "sos_R,sos_vR=sos(o3.R(ts),o3.z(ts),o3.vR(ts))\n",
    "scatter(sos_R,sos_vR)\n",
    "\n",
    "# This orbit has a different Energy E\n",
    "sos_R,sos_vR=sos(o4.R(t4),o4.z(t4),o4.vR(t4))\n",
    "scatter(sos_R,sos_vR)\n",
    "\n",
    "#scatter([1.1], [0], color=\"red\", label=\"Guiding radius\")\n",
    "\n",
    "\n",
    "xlabel(r'$R$')\n",
    "ylabel(r'$v_R$')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Orbits near the guiding radius\n",
    "\n",
    "The orbits that we discussed above are very useful to understand the dynamics in prolate and oblate potentials. However, most of the stars in disk galaxies are moving at velocities which are close to the circular velocities within the disk. The orbits thus have energies very close to what is required to be at the guiding radius. Therefore it is useful to study such orbits as well.\n",
    "\n",
    "We can define a new variable $x=R-R_{\\rm g}$. The effective potential close to the guiding radius and close to the midplane $z=0$ can be written down by performing a Taylor expansion,\n",
    "\n",
    "\\begin{equation}\n",
    "\\Phi_{\\rm eff}(x, z) = \\Phi_{\\rm eff}(R_{\\rm g}, 0) + \\left.\\frac{1}{2}\\frac{\\partial^2 \\Phi_{\\rm eff}}{\\partial R^2}\\right|_{(R_{\\rm g}, 0)} x^2 + \\left.\\frac{1}{2}\\frac{\\partial^2 \\Phi_{\\rm eff}}{\\partial z^2}\\right|_{(R_{\\rm g}, 0)} z^2 + {\\cal O}(xz^2) \\,.\n",
    "\\end{equation}\n",
    "\n",
    "These equations thus lead to a set of decoupled equations\n",
    "\n",
    "\\begin{eqnarray}\n",
    "\\ddot{x} &=& -\\kappa^2 x \\\\\n",
    "\\ddot{z} &=& -\\nu^2 z\n",
    "\\end{eqnarray}\n",
    "\n",
    "where the constant $\\kappa$ and $\\nu$ are defined to be\n",
    "\n",
    "\\begin{eqnarray}\n",
    "\\kappa^2 &=& \\left.\\frac{\\partial^2\\Phi}{\\partial R^2}\\right|_{R_{\\rm g}, 0}  + \\frac{3L_z^2}{R_{\\rm g}^4}\\\\\n",
    "\\nu^2 &=& \\left.\\frac{\\partial^2\\Phi}{\\partial z^2}\\right|_{R_{\\rm g}, 0}\n",
    "\\end{eqnarray}\n",
    "\n",
    "The frequencies $\\kappa$ and $\\nu$ are called the epicycle and the vertical frequency, respectively. These frequencies are related to the circular frequency $\\Omega$ in the mid-plane, such that\n",
    "\n",
    "\\begin{equation}\n",
    "R \\Omega^2(R) = \\left.\\frac{\\partial \\Phi}{\\partial R}\\right|_{R, 0} = \\frac{L_{z}^2}{R^3}\\\\\n",
    "\\kappa^2 = \\left(R\\frac{d\\Omega^2}{dR} + 4 \\Omega^2 \\right)_{R_{\\rm g}}\n",
    "\\end{equation}\n",
    "\n",
    "For the very inner regions, where the circular velocity grows linearly as a function of radius (i.e. constant $\\Omega$), we have $\\kappa = 2\\Omega$. In general the value of $\\kappa$ lies between $[1, 2]\\Omega$.\n",
    "\n",
    "These equations show that the orbits just close to the guiding radius will have oscillations in the radial direction around the guiding radius, and independent oscillations along the z-direction.\n",
    "\n",
    "\\begin{eqnarray}\n",
    "x = R(t) - R_{\\rm g} &=& X \\cos\\left(\\kappa t + \\psi \\right)\\\\\n",
    "z &=& Z \\cos\\left( \\nu t + \\zeta \\right)\n",
    "\\end{eqnarray}\n",
    "\n",
    "The angular coordinate $\\phi$ can be obtained by integrating the equation for $\\dot{\\phi}=L_z/R^2$.\n",
    "\n",
    "\\begin{eqnarray}\n",
    "\\int d\\phi = \\int dt \\frac{L_z}{R^2} &=& \\int dt \\frac{L_z}{(x+R_{\\rm g})^2}\\\\\n",
    "&\\simeq& \\int dt \\frac{L_z}{R_{\\rm g}^2}\\left( 1 - 2\\frac{x}{R_{\\rm g}} \\right)\\\\\n",
    "\\phi(t) &=& \\phi_0 + \\Omega t - 2\\frac{X\\Omega}{\\kappa R_{\\rm g}}\\sin\\left(\\kappa t + \\psi \\right) \n",
    "\\end{eqnarray}\n",
    "\n",
    "This implies that the orbit of a particle near the guiding radius can be represented with motion on an ellipse centered on the circular orbit at the guiding radius. This will still create rosette orbits in the mid-plane."
   ]
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