membrane_problem.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Elastic Membrane Problem using FEM"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We look for the deflection of an elastic membrane due  to a spatially varying body force. The problem is described by the Poisson equation\n",
    "\n",
    "$$\n",
    "\\nabla^2 u = -g(x)\\\\\n",
    "u=0 \\text{ on } \\partial\\Omega \n",
    "$$\n",
    "\n",
    "## Variational Form of Poisson's Equation\n",
    "\n",
    "To obtain a variational form, we first multiply with a test function $v$ and then integrate\n",
    "\n",
    "$$\n",
    "\\int_\\Omega \\nabla^2 u\\cdot v\\,dx = -\\int_\\Omega g\\cdot v\\,dx\n",
    "$$\n",
    "\n",
    "Most finite element basis sets can deal with first order derivatives, but not second order derivatives (because they are linear). Integration by parts allows to reduce the order of the PDE:\n",
    "\n",
    "$$\n",
    "\\int \\nabla^2 u\\cdot v\\,dx = \\int_{\\partial\\Omega} \\nabla u\\cdot v\\,ds - \\int_\\Omega \\nabla u\\cdot \\nabla v\\,dx\n",
    "$$\n",
    "\n",
    "The test function $v$ is *arbitrary* and we can choose functions that vanish on the boundary so that Poisson problem in variational form reads:\n",
    "\n",
    "$$\n",
    "\\int_\\Omega \\nabla u\\cdot \\nabla v\\,dx = \\int_\\Omega g\\cdot v\\,dx\n",
    "$$\n",
    "\n",
    "### A word on boundary conditions\n",
    "\n",
    "Using integration by parts as part of the construction of the variational form often leads to surface integrals along the boundary being part of the variational form. Parts of the boundary that are naturally expressed by these terms are called **natural boundary conditions**. Neumann boundary conditions are natural boundary conditions for the Poisson equation. Other boundary conditions need to be incorporated when constructing the basis set for the test functions. These boundary conditions are called **essential boundary conditions**. Both types can be mixed, but they need to be treated differently in the machinery."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Finite-Element Problem\n",
    "\n",
    "We will use [FEniCS](https://fenicsproject.org/) to solve the variational form of Poissons equation. FEniCS is a \n",
    "platform to efficiently solve PDEs using the Finite-Element method. To solve a PDE in FEniCS, the following general steps\n",
    "need to be completed:\n",
    "    \n",
    "1. Formulate the problem in variational form, reducing higher order terms using integration by parts\n",
    "2. Discretise the computational domain into a mesh\n",
    "3. Select function spaces for the trial and test function\n",
    "4. Define *essential* boundary conditions\n",
    "5. Solve the problem"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The FEniCS Project consists of a number of components with DOLFIN and UFL providing the \n",
    "main user interface. Lets start by importing the dolfin package:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from dolfin import *"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Define domain\n",
    "\n",
    "We begin by defining a mesh of the domain and a finite element\n",
    "function space $V$ relative to this mesh. As the unit square is\n",
    "a very standard domain, we can use a built-in mesh provided by the\n",
    "`UnitSquareMesh`. In order\n",
    "to create a mesh consisting of 16 x 16 squares with each square\n",
    "divided into two triangles, we do as follows:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "mesh = UnitSquareMesh.create(32,32,CellType.Type.triangle);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Lets have a look at the mesh. FEniCS comes with a few handy visualisation tools that work together with [matplotlib](https://matplotlib.org/), a very popular python library that provides a full suite of plotting tools."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x1008 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "fig = plt.figure(figsize=(14,14))\n",
    "plot(mesh)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Define function spaces\n",
    "\n",
    "Next we define the basis functions aka function space for trial and test function:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "element = FiniteElement(\"P\",triangle, 2)\n",
    "V = FunctionSpace(mesh, element)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The second argument to `FunctionSpace` is the finite element\n",
    "family, while the third argument specifies the polynomial\n",
    "degree. Thus, in this case, our space `V` consists of first-order,\n",
    "continuous Lagrange finite element functions (or in order words,\n",
    "continuous piecewise linear polynomials)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Boundary condition\n",
    "\n",
    "### Define domain for essential BCs\n",
    "\n",
    "Next, we want to consider the Dirichlet boundary condition. A simple\n",
    "Python function, returning a boolean, can be used to define the\n",
    "subdomain for the Dirichlet boundary condition $\\Gamma_D`$. The\n",
    "function should return `True` for those points inside the subdomain\n",
    "and `False` for the points outside. In our case, we want to say that\n",
    "the points $(x, y)$ such that $x = 0$ or $x = 1$ are\n",
    "inside $\\Gamma_D$. \n",
    "> Note that because of rounding-off errors, it is often wise to instead specify $x <\n",
    "\\epsilon$ or $x > 1 - \\epsilon$ where $\\epsilon$ is a small number (such as machine precision)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Define Dirichlet boundary (x = 0 or x = 1)\n",
    "def boundary(x):\n",
    "    return x[0] < DOLFIN_EPS or x[0] > 1.0 - DOLFIN_EPS or x[1] < DOLFIN_EPS or x[1] > 1.0 - DOLFIN_EPS"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Define Dirichlet boundary condition\n",
    "\n",
    "Now, the Dirichlet boundary condition can be created using `DirichletBC`. A\n",
    "`DirichletBC` takes three arguments: \n",
    "\n",
    "- the function space the boundary condition applies to, \n",
    "- the value of the boundary condition, and \n",
    "- the part of the boundary on which the condition applies. \n",
    "\n",
    "In our example, the function space is `V`, the value of the boundary condition (0.0) can represented using a\n",
    "`Constant` and the Dirichlet boundary is defined immediately above. The definition of the\n",
    "Dirichlet boundary condition then looks as follows:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Define boundary condition\n",
    "u0 = Constant(0.0)\n",
    "bc = DirichletBC(V, u0, boundary)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Express Variational Problem\n",
    "\n",
    "Next, we want to express the variational problem.  First, we need to\n",
    "specify the trial function `u` and the test function `v`,\n",
    "both living in the function space `V`. We do this by defining a\n",
    "`TrialFunction` and a `TestFunction` on the previously defined\n",
    "function space `V`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Define variational problem\n",
    "u = TrialFunction(V)\n",
    "v = TestFunction(V)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Further, the source `g` is involved in the variational forms, and hence we must\n",
    "specify it. `g` is given by a simple\n",
    "mathematical formula, and can be easily declared using a\n",
    "`Constant`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "g = Constant(1.0);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "With these ingredients, we can write down the bilinear form ``a`` and\n",
    "the linear form ``L`` (using UFL operators). In summary, this reads:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "a = inner(grad(u), grad(v))*dx\n",
    "L = g*v*dx "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Solve\n",
    "\n",
    "Now, we have specified the variational forms and can consider the\n",
    "solution of the variational problem. First, we need to define a\n",
    "`Function` ``u_sol`` to\n",
    "represent the solution. (Upon initialization, it is simply set to the\n",
    "zero function.) A `Function` represents a function living in\n",
    "a finite element function space. Next, we can call the `solve` function with the arguments `a == L`,\n",
    "`u_sol` and `bc` as follows:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n",
      "Calling FFC just-in-time (JIT) compiler, this may take some time.\n"
     ]
    }
   ],
   "source": [
    "# Compute solution\n",
    "u_sol = Function(V)\n",
    "solve(a == L, u_sol, bc)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The function `u_sol` will be modified during the call to solve. The\n",
    "default settings for solving a variational problem have been\n",
    "used. However, the solution process can be controlled in much more\n",
    "detail if desired."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Visualise solution\n",
    "\n",
    "A `Function` can be manipulated in various ways, in particular, it can be plotted and\n",
    "saved to file. Here, we output the solution to a `VTK` file (using\n",
    "the suffix ``.pvd``) for later visualization using [Paraview](https://www.paraview.org/) and also plot it using\n",
    "the `plot` command:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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fr8Vn/UpuAd4prqXg9ii32mLrldRmkFrKK4lE6esxkgwfe59bya+F9G4/o6VlF2gX3rvLM5cKw9pUt2UbYCkyp7kpJbdosoIQa1LcHgW3VW4lxbZHqY0qtJRYH+7O4yxw6pGl13UECfZKfXc//6SFN2q6K5HqRhTdqGmuBykl1wqtmkJ0wY2W2mrJrbXURhHaUQU2yuO/RPTj7FnCo0qwtfhqprzSwislu72JrjlBF5/1KbkFfVzpqkJpimsluJTbY7cpfpOP7yOIpPQos1Ee25GReA6yivKp95S1AO8/DxmlV1J4W2W3JdVt6elqiS7T3Af6lFwBNGoKPQuulNxmFFtv8coqs96PG/Fj7XOfQYoPvQ8txdcy7dWoNkj1d71lV1t0vcjayx1ScrV2ODuFheDWdm9bBDeq3PYotllklvJKpMm4Yxlw/D1rJb8Wae/2s5ayu71fXdFlmruOkJJ79vyZ9yEUU7N1bwkWghshvZWUW02xtRa3qEJLgSWRKXl9RhBhL/ndfXykHwfpdFdSdq37upFEd3RCSu4pFicrCMzHLa0qaNUU1ghuxvQ2g9haylw0oaXIvsv9hewWppE4u7Hd5joCkTZt2Gf/s0BTejVTXknhlejtSqS6FqK7hlLRNU1zAy4+Sye5rVhXFXoS3ChyqyG2VmIXQWh7ltiehVQD6ccruzRH27rXsuerlfJqCK+H7FqIbpZ+bib6ktyAKe4atAU3s9xmFFtvoc0ss5TVnLQ8bxkE2XsDB8Am7dVKeaX6uxKy24PoSqe5S2RcfNaX5BqhUVPoUXCjJrea8ucltpmElgJLDlHyuogqwp7b9lpKb0+yW5vq1ixIY6L7gMfWvpTcANRu9FB+++sFt7f0tiexjSy0FFiiSSYR9hLf3c8jaeGVrjRIyq51hWFtqqslupJpbo+93KEk17KPWzMyrIS1Ka614I4it1ZiG1FoKbIkMqden94CbLmBA2AjvFFk16PCoC26xcdhOG0hW2VhKMldoqSPK93F1awpZBNcKbml2MpAmR3nMfCWPyuOPZ9ef79l2qtVa5BMd6VktxfRla4tmKW5gaDkOqJZU8gkuJHl1kJsPaW2V4nr9e/SQuLxyizKkdJfq7RXI+WVEt5W2W3t6mYUXc7OPUw/kiswWWEJze17l1iT4loKrrfcSgtiz1KbWfwyH/sorH2Oskjxob/L8tgtpFdTeDPKblbRLUFi0oJWZeHs+TPcv3gpepv9SG4ytGoKGQQ3mtxqiy2l9jRZjpPIUvq8R5RhT/HV3LUMePt52JvsRhRdaaTS3J4qC8NI7tKis9L5uEuUpLjZBdczvc0gtx5SG1UUox4XycPSayiKBHuIr6bwSqe73rJbk+rWTF5YI7qe/VwvrMeIDSO5rWhs/iBJdMHtXW5ttwGOI46RjoWMSaQ+7T77x6Z5PJq1Bsl0V0p2I6e6WqJbdN8Faa7U5hBHCTRGLLa57TE9u/I+hJN4pbiRBZdy20YkiYx0LB7cP+3r7z97HSMB1SSaAHtJr5TwSqa7rbLbmupmFF3LRWi9VBZSSa4WS1UFqRQ3q+BmT2+l5bZ3sfW+f2l6k1MpJB6XzKIcYZyYVcUhsvBKyO5IohuFLPNyKblCaG3+cPI+gwpuBLnNJLYeUpldZCmuMVj7PGSQYu9pCtppr6bweslubaprtSBNEqlurnplIQh9SK7B+LBWpFNcbcH1SG+jyW1PYptBaimu/VP6HEeTYc/Ud/e+tYS3J9mtEV1g/YK0UtH1SnNZWXigD8ldoGU735KqgmSKu3ZXs/LbLf/ZjIIrJbd6u6XZCVxkoaXIkhKWXidRJNiyY7t/f5L3JZ3uSslu5FRXS3TLbq+PSQsWDCG5p5AaHXaK0hRXq4erLbhechtZbEeUWgosseLUa81TgC2lV1t4I8iuR6rrLbrSi9BOMUJlIZzknj1/5n0Iq7Du4vYiuD3KrZVsekvt6DI7X/gNe29hullfccpIJAG2kl6N+5FMdyVkl6K7HtetfoOMEQsnudJoVxWWkE5x1xBRcCm3cW676P47EtqsciqF5N+fVZgPvZ4txddqUdv2fqRuWyrdbZHd2mOwEN1Vty1YXfCuLWSYsJBGcjVm5LZWFaRSXI2agqbgWqe3EnJLsV24z6QyO7q4erHmcY8uxMde+1byq7mwTPq2JWXXMtWt6emuEV2NiQtWI8V6ryykkVxrrFLcEQTXM72V3UxC5wPHfNJCcKGluPZF6fMZTYY9Ut8swishuxlSXS3RlV6IdvK+GisL2ScsUHIrseziZhXcHuQ2u9hGFVqKLNnn1GsiigDvv580pVezzytVZ4ggu1lFt+z2ltNc78pCdPJL7okZuS193FYkU9xStAQ3U3obWW5HE1uKLJEiqgB7Sa+U8ErdppTsjiS6kdLcnisL+SW3EovRYRKUprg9CG6Pcmshtt5SS5ld5uxcNmm5v7XfYTEqx15/HvJrJb2awuspu7Wpbs39RhDdsttimtvCsJJ7iqU+rkRVQTLFpeDW/+7b+5cTRW2xpdTqIC2immgfaw8Sfeh1ai2+FtIrPUkhiuxapLqaolt0e8YjxTSombAwPbvC/PJa6YjehZKrwJotfE/fjt9luAyCO5LceoltZqHNJK3RWPvYZZFib/HdfR9LC690uustuy2prqbolhKtttCyAC3z4jNKrgPRU1wrwaXcLtyusdhmEloKbCxKn4+IMuwlvhbCG0l2LVNdTdGNWltorSyo9HIDbAhByQ1KSYpLwa2539hyayW2kYWWAtsvp57bSAK8//7Qll4t4Y0ku62pblbRLbq9BGluVii5K2nt42rsbLZEJMHtIb3NKrfRxJYyS3aJLMCW0qshvJJVBgnZtaovRBBdy9oCF6A9plvJrR0f1roJhEQfVzrF1SKL4EpIKcW2HsosaeXYa8hLfq2kV1N4PWXXMtXNJLrLt+O3AC1rL7dbyY2IVIoboaaQQXAjyq222HpKLWX2LU8ufB6LNzdxLvlbEEV+LaRXWnglZdcj1V0rukD5fXlVF7zT3Npebs2EBSuGlNzaGblLVQWrFLf4tgIIrtdosFY5Fe3udii2PQqtl5hKIvk3ZBbmQ69PS/HdfU9qCm8U2fVIdbV7utJTF6KkuaP1coeUXA88UtwSIgpuD3KrKbaU2jJ6kFZP1jx+GYTYS3w1hbc32bUQXQ2ipbnkLbkl98SWvjW09nFb8UhxV91mYMFtkdPoqS2l9jCU2DiUPBcRRXj/da4tvVrCK1llkJJdq1RXs6MbNc1dIsMCNKsNIXJLbiCkNoA4RWmKq1FTiCq4PSe3VnIbUWgpsP2x9JxGkGBL6dUWXm/ZtUx1105e0BBdyUVoS2mu5gK0U73cjIvPKLmFtIwOK6kqSKW4GQU3c3orLbcWYhtJaimzZMux14Kn/FpJr4bwSqW7ErIbsb7gKbremPZynTeESCG507MrsduqXXTmjWQXN7vgUm7XEUVqKbSkhkjyayG9msLrJbu1v5tRdEuQqC1o74DWCykkdy21M3Jraa0qWKe4xbdHwX18G4Jy26PYjiiy5+fCW2EKcnvb5Uc8gMOvNWvx3X2faQpvNNm1THUjiW7R7QmluVyAJkO/n4ArObXoTLuqsHwbyz8jXVOIJri9yG1PYtuT0EYW1RZa/q6MguwpvprCK53u3j+dU6W6UURXsrZgkebWUjsvNyL5PsU6Q3KiwuJ9BRBcy/S2eVFagtTWUmyzSW2v4mrFmscvshB7iK+F8LbKbrZUV3vygrToSqCZ5kr3cqNuCBHqk+ns+TPV29fo456qKkRKcSm4K343cGpLqX0LJTYOS89FNAnef21rSq+W8Eqlu62y25rqWtQXPLBKc08eA3u5sSQ3Ii1VhcXbXkhxJWsKJUQSXMrtW6zENpLUUmD7IroEW0mv1sI1iXRXQnYjim72NJe0QclF/SYQFrNxT96/0ra9S6wR3Azp7ahyG0VqKbTk2GvAS36tpbcX2a1NdXsVXYk013Nmbg90J7nWkxVqseriatQUNKkRVe/0VlJuexdbCi1Zw6HXi4f47r5vNIS3R9mtEV1Ab0Ga18SFyLNza3q52TaE6E5yo9Dax12qKmSoKVhUFDwFN4vceont6EL77Nzmi+DlbZAzVCO8xVdTeKX7u/PFvcgCtciprpboFt23UW2hZQHa6L1cSu4JtPq40VLcUnoR3EjprZbcWottb0JrJagSSB1rZlnef/1ZSa+F8LbKrlSqa9nVjSC6lmlu6wI0jcpCL2PEKLmDUyqjkQS3h/S2B7nNJraZxNWDNY9PdCH2kN7te69X2fWoL2QQ3QxpbibOnj/D/YuXYreXV3KvLl3vXnPRmURVQTrFLaVXwY0stxTbt1BkbTj1OEcUYEvp1Up3I8luVNH1QkJ0NceJnaosSM7LjTgrt+idPk3TVwH8ZQAbAH91nue/uPff/yEA/yWAL336M780z/M3hY+1CY0Zucc41ce13PxhCY0Udw0jCa603FqJbUSppcjGJoMA776uswlvBNmtTXW1RTdybUF7AZrllIVMi88W393TNG0A/CqAPw3gQwC/NU3TN+Z5/p2dH/v3APyNeZ7/yjRNPw7gmwD+iMLxdk+0FFerpmAluD3JrYXYRpFaimyfHHtePeXXKuWVrjNIyq5lqluzIM1bdIvu1yDNHaWyIEnJu/knAHx7nuffA4Bpmn4dwM8B2JXcGcAXPv3/XwTwB5IHqcmxGbmam0BEoERIRxXcVrnNltpGEFtK7dgcev69xFc75ZVOdyVkN0OqqyW6lrcXeZzYIcQWn11dAtev2m+ngpJ38A8D+P2df/4QwJ/Y+5n/AMD/NE3Tvw7gOYCfPnRD0zR9DcDXAOASulv4alLbx7WoKpSkuNIzcSm4b8mQ3HpLLYWWlBBBfK2EN5LsWqe63qIbbRFaSzf3VGVh1FFiJe/aQ6+o/UfxFwD82jzP//E0Tf84gP96mqY/Ns/zO8Ywz/PXAXwdAL5w9kGe05kVtMzHtZyNu4RGD9dCcCm3x/GS296l9nngv+9FkA6sFJ7iqym8kWS3NdXtWXQlaE1zWVlYR8k79UMAP7rzzz+Cx3WEPwfgqwAwz/PfmqbpEsAPAfhDiYMsJctuZ1pIpbgaNYWoghupd6sht9Zi24PQRpbWtaz9WzJK8f5rzkJ6tYRXsspwdn7nkupmFV2p27IaKSaJ5ISFaJS8O38LwJenafoxAH8PwM8D+DN7P/N3AfyTAH5tmqZ/GMAlgL8veaDZaa0qWKW4FNxyKLd5pLYncdVkzeMUVYitpVdbeFtk1yvVtRBdaSynLWhuDmE5ZSEDi+/IeZ7fTNP0iwB+Aw/jwf7aPM+/PU3TrwD41jzP3wDwFwD8F9M0/Vt4qDL8C/M8p32UaxedaVYVlrDu4kYRXI96QlS5pdhSZi059VhHEmBL6d2+B6VlVyLVBdpkt0Z0gXUL0taIbuTaQsY0t1eK3omfzrz95t6/++Wd//87AP6k7KHpc2yywik0N4E4ep8L8mxdU6DgtpFNbqNJLUU2Pseeowjyu/t61hJeadmV6uy2VBis6gveomt1Wy3d3Npebs3is+zb+4bf8Wx6dtV8G5YbQRxiqarQmuJKoLXhQ/n96wtuT3Lbu9hSZPskmvxqC690lcG7wmBVX9AS3bLbi5Hmau6AJkGWDSHCSy45TQ81hVU/mzC9lZLbnsWWUjs2h55/a/G1Et5IsmtdX/AWXcnagvQsXm+kFp9F29qXkitESx/3FBYLzjxrCpEFt3e5pdSSyOy/RiylV1N4JdPdVtltTXV7Fl0JltJcrcoCF5+9JafkXl263K1GH7elqmCZ4mYUXMrtYzzEtkeh/fx54OuIR/j+bYBeVANe0mshvBFkdyTRLbst/zQ3emUhAzklVxHp7XxbRodFSnHLbmtswaXcPpBVajOK6xpK/74sMuxRcdAS3giyW5vqWoiuNJHSXGtG2/mse8k9tuisZrLCMWqrCr2luKVEFNwe5dZKbKNLbe/yKk1mGbZMe7fvr6iya5nq1ixIWyO6XrUFizS3dQc0cpruJXdUpEaGSdcUajZ6WENGwc0ot1HFlkJrx7HHOpL87r5OtYRXS3a9RRfQT3W9RTcDp/iuFSMAACAASURBVCoL3OJ3mW4kV3tLX+v5uFY7nEmgJa5rU9xsgptNbiOJLWU2Loeemwjiu339assuICO8EqmuR1c3iuiWYJXmelQWMiw+m55dYX55rXof3UhuNrSrCktIprjl96lXUxhZcDXlNoLYUmjzEyn1zZbuSsnuaKIbcdrC0WMwriwc6+UeGyOWeUMISq4iLYvOmu5X4HPbs6YQWXApt/pQasdh/7m2ll5t4Y0ku62L0noW3eXb8U1zo05ZyLAhBCU3INpVBevdzTR7uCMKrpbceoktpZZs8ZReTeGVll2PVNdCdL2IkObWkqaXe3UJXL8yv1tKbiNam0AcY6mqEDHFXcOaFDeL4EaWWw+xHV1qv3De9kH/vVufOeEeeEmvVn9XSnYlUt2Iops9zW1Bo7KQoZerDSV3B+kZucdo6eNmQ6umYCW4lFsZehDbVjmVQuI4soqytfRqpbuSsmtdX+hVdCXS3IgL0EaHkltAzWQFrz7uEktVBckUl4LbRma5zSa1UQTWipK/N4MI777OrIQ3mux6pLqRRNcSzzQ3ai83OpTcYJzq41pUFUqQrin0JLhR01ttuY0utaNJrARLj1k0CbYSXi3Z9U51s4putjRXA8le7rEJC2uYr84xXccoOVNyjfGsKkiluGX3Jd8DGkFwKbftUGhtOPQ4RxFfC+GVrjJ4p7q1ogus3zSiFGnRlaA1zY1SWVi7vW/WMWJDSq7klr5RiJTiatQULATXs56QSW4jiS2FNhbHng9P+bUU3kiyayW6wLpU13PiglWaG4nRF5/1Z3uGSE9WaKkqLGGZ4paydh7uGqwEN1p6qyW33mJLmc1NlNRXW3gjyW6L6AL1u6SV4FlbkGApzW0RZfZyZaHkKhB10VkrkimuZg83i+BSbg9DoR2D/efZWnq3r+0MstsiuoBNfWFtR9dLdCOkuRqVhTTzco3pWnLny/YPmJrJCsfQ6uMupbBWKW6EHu5IgkuxJT3hJb2a6a6U7LYuTLOqL2iKriQSqa9mmkvk6Fpy12A1I/fo/StWFSSQFFitHm4GwaXcPjCa1H7x6bX4bX739ZX4bUbCQ3q10t3n57ciogv41BciiK51bYGS2gddSO58ZV8otd7p7BgWKa5HTSGi4PYotxTbMjQktZXWY8omybuvH23h1Uh3I6S6UUW3FOvagianKgtWvdxjExbWjBGbL88xvYp7NtCF5Eai1z6uBFoLzXoXXGm5pdg+JqLEarP0N0eWYA/hjSS7LalubU9XU3Q9Jy6cYinNzVJZGHnCQj7JvWr7QPMaH3aqj1tbVWjt0lqnuKWsSXEjC2609NZCbqNK7YgS20oWCbaqNUSVXctUN4Lo9pTmSsPFZ48JLbnTsxgfollZqios/37smkLPgptJbqOJLYXWhkOPcwTx1U55o8lua6rbs+hK0JrmnrztIBtD9ExoyfXm2GSFKH3cFizn4mYUXMrtaaKILYU2FtHEd/s6zSK7HqluNNEtpUR0I6S5tZUFzsuVIYzknj1/5n0IzdT0cbWqClFSXI0eLgX3NL3KLYU2J/vPm4f0aqa7krJL0Y3bzyU5CSO5ZGxKU1wK7mm0BNdDbim1feKd9mqlu1Ky61VfsBDdUiRrCxJprmZlwZtjExYOcX/xBGc37bt8WtKt5K7ZCEJ7Rq7WJhC1LKfAtinu2nFhpWQQXMrtu1Bsx2T3ebcS3gyya53q1o4YK0VrtFh0Tkly7SixtYw6YaFbyR2Z1qpCVNakuKMIrobcUmyJJ9bCqym7EVJdbdH1ri1ESXOjwAkL70LJTYjmorGoKe7amsIaKLgPWMptD2L73pOX3odQxCdv8q53sBRejd5uhFQ3ouiWkqmfa11Z4OKzMii5Rzg2WUH0Phy28rWcquDFmhQ3o+BmlduMYptFZE+x9DdkkWAP4Y0kuz2JrnRtQSrN1SRLErxlza5nh5ivzjFd+//BlNzOiFBV8Exxa2bhrqVWcKOltxZym0FsexDZFk79/VEF2Ep4NWS3VXSBuvpCVtG1THO9FqBZ9XLduboErm3rcJTclaydkRtt0dkpLHc3iyC4NSmul+BmktuIYju6yNZy7HGLJL/b15u27PaQ6kYT3VJKRDdDmtsr8+U5plf+qe0hKLlC1MzIrbqfhrqBRVVBYy6uBiMK7khyS6nV5dDj6y2+2uluxFQ3quiWEnHaQg8L0I4tPos4YWF6doX5pd53ByU3ILV93JaqwkgpbhbBzZDeRhFbSq0/+8+Bp/RqpruSstur6HrVFqKnubWjxI7BxWfLDCW59xdx/txTi86y4pXiRhTc3tNbb7ml1MYngvRmkN3W+oKl6K5Ba+JCdDJuDNHzhhBxrI8s4llViJriai80o+C+i5fcUmrz4ym9mlUGqb5uS6prJbpa/dxoaW60ykJXi8+MGV5ytXc7s0K7qrB4GwUprrfgrk1xswpuD3JLqe0fL+nVSHclU90W0QXWT17QFt1SJPu5JaJLxmB4ydWkZrKC1nzcFqRSXE+iC27U9NZSbim2Y7P7/FsIr5bsZqwvaIqudG3BaqRYS3f3VGUhw8K1nqDkHuDYRhDHxoetnaxg3cfVnqoQPcUdQXCzym2vYvve0xfm9/nJ6+fm96nF9nWRUXajpLoZRddy2kLrAjQNWY22+Kx1Q4gIpJfc+WqALbxwWlS9qwpSUHDXQ7m1w0Nc17Dm+LIIsWW6G1F2o4uuF1Ld3J45NkZsNNJLLtFlSYIlU9wSNBeaWQputPTWQm4ziG10kZXi1N8ZVYCthFdDdnsVXc80V6K20LoA7fRty1YWpBafRZyVqwklNxAafVyLDSBOoTETt5Q1KW4mwc0ktxHFdhSRrSWDAFsIr6Tstqa6FN06Rk9zSaeSO1/6X26x2s5Xs6ogkeJKolVTGFFwNeU2kthSaGU59Hh6i692f1dadltEF6hbkFY7YqwUr4VoFmnuKaL0ckXud8Ws3Ex0KbmWWCw6q01je0pxRxdcym3hMVBqzdl9zD2FVzvd/eLT69Sp7lrR9e7nRklzPXdII+0MI7mtu50dm6yQlSgprnRNIaLg9pzeeostpTYW+8+Hl/RqpbuRUt2W7YBL8a4tlGA1UqyGjLuf9UbMV8aA1PRxW6oK2mRZbLaGrIL7xafXXQnue09ffPY/Epvd58rj+XrvyUuV16nU+6nl/V3z2VLzGbYmDKjZNv0UGms1DtEyZcjySuuxK8FW9ciMDJPkknKsxoplSnEzC640HnJLoe0Dr2qDRrIrlepaJ7ra/dxSpDeJOMWolQWOERs8ye1lS99DaPZxLRecRUlx19Kj4GqlYgfvyzkBJPp4PL9RU93oiW70NFfyyqE0NVdcI+58ukSEBf+HGFpyrbFcdHYK7aS25AOn5xTXW3A16gnWckvGwvJ51zhZo+i+S+nnsWWIsRTOeFQWvOhtjdEpWFfY49iWvqMQaQe00g/ASILbioTgSmIpt73xpY1dreM7d/rb31pgWWeQrjBI1BdGrS4sUTJpQXsBWtbKggb3F09wdiOb2GtByVXAogTutehMoqpgtZigFesebiTBpdwexlJc11B6XJlkePvayCi7vYquxrQFy25uNDTm7JJ3oeQGQLp/43npRKobFSHFXQsFt/D2k4htVKFt4djfFFl+rdLd9568HFZ016A1VmwJibm5SwvQom0McfB+hLb3Lb6/qw0213XB1Hx1juna1+JzSe5V/f7fGqzdCCICp+oIkaoK0kTu4bYILuW2nR5ldi1Z5Fc73ZVMdVvrCy2iuxbv2oJUmhu1slAzL3ftzmdvLoAnnMn7iFySOxjRyuxLVQWpBWcaKe4aRhPckeSWQruOQ49XBPG1kN0IqW7t7mgZawslWKS5vTH6GLF8UaQDEisRayYrHCPyJhBWaNUULBea9S64ESYlfGnz8p3/kXYiPZ6arzHJKQyt79eazwrtiQvS9S+pSQutlTnrK5qRwqweF94zye2MU28Y76qCZIqrgeVCs1rBjS633lILMK21ZP+x9kp5NZNdqQpDa0+3Bqvtf5eIluaScWCS60yWoc8SVQUpoiw2o+Du3KZzahspXRwZ7+dBO9ltpeU9XPu5sfZzaoQ0t2VK0KlA6HTIVH2XpAFKrjDcQ/owUilulJpCRsHVGILvKbfeQkVO4/n8aL0upUS39v2cWXS11lBoEH0RtkT9cZQNISi5QYnU01ki8paKJYwiuNJYyy37tXnxet40ZFfqZNFadCNQIrolYUeWWeutrL3Sy5DtMZTcZJy65KHVx23dACJyimu10KwnwbVMbym1/eHxnGrJbiuWohshzbVEs7IgTaZQKxvdSe58WfZqubt6XFxfs7JwzYxcyckKZJloPdzeBFcbiu04WD/XFF090S0lS5pbGwxRWGMxxHSF+4sh/kwVWheceaS4pVjUFLwEN6vc9sr7mx+I3+bHd58Tv01Pts+/9oQG6UkMEjN1aycv1GwYoTVxYc3s3FGp2RSCtEH7c0RyskLk0WGWaNUURhVcyu1jNIS1hrXHkUWKd18PmsL73tMXoqILtI0ZsxTdNWhsElEyUqxkF7SlcWJLO6CNtjHEiFByF/BYgdjL5Q7rFFerpkDB1SGD3EYRWgmO/S2R5Vc73Y2W6lqJ7to013vbX9LGyLuepZbc+SrWm057ZaP1nL1Is3El0V5sll1wR5XbnoR2DYf+7mjim0l2exXdUqzTXE3uL2ac3RwOuk79t7tzYCP0NXN3AWwO5Cx3FxM2N31didUgteQSsiVKiushuFnS20hyO6rQlhJVfC1kl6J7mKhpbi+VBUkxJm+h5HZAxD5u1AVna1LckQS3d7ml1Laz+xh6C6+m7EYR3cxwEVpe7i432LxSnFxxdQlc28167m6EWBaib+ebqaoQcUZjKT0LboQxYO9vfkDBVWD7uHo/tlqvL6m5ui3vUavRYmtO5qWrXlLjxDIRaXvf0jVHh0auZplaRcmtYM2MXHIYprhtRBZcb7mNImCj4P14a77esoruWmp3cTyFZfiwdOWwJZTJNi/Xc9ez0n0Kljh7LncFhLamzNqNIHqZrGBFhBTXuqYgIbhau5Z5ya23aJEHepTdjKKredLdY5obafczIgslNwmRLnFIbABhjWaKW4O34Erjld5SbGPiedKh8VocQXSzp7k9E73eGBlKbnI0Fp1pn9VKVRU0PkAtago9Cq4lTG1z4fV8UXT10B7DWINmZcEKXsmVh5JLuifSB3JPgmud3lJs82P9HPYmumuJsAitJIyIXlmQnlIkdWV2TR1y1LVEY/7VRI2IVYVSoi42iyq4FjC17RPL51T6ZMxTdKP1cwmJDiX3BGu29PVc0SiJ9ugw66pCadoQuabQSkbBpdiOgeVJzMiiu4bIae4S0UIW1g/8yTHozIC7S7utA71L5JqbQJDDeNUUJAXXSm574oON7hbJAPDRXfvGBRF4f/MD9U0mvrR5KbaBhMRWwLUbRqzdES3Klr+ttG7zu7T7GekPSm4gjp31Hevv1C4600LiLLrHFJeCu0w2ubWQ11JKjiWLCG9fB5qyK71bWusOaVY7o60V3VKibvdbw6ktfu8vZpzd+G//W8KbC+CJ/pCgFISV3OnZ+n27o7F2Rm7v9LBzTZYeLgVXlkhSW8Oh448svlayG0V0a1ib5q5FOs0t2er3/PwNbm/btOTs/A73t3ZXZoFcAjwaQ+b2h7aoIzm28vVOcddSk+KOIriRe7cfbF68878eyfA3ar9GovR0rfq5PSxCaw1LInyPAeuv0HrXHLMSNsklOmjVGJaqCh7b+EpjVVNoQUpwteU2ElEFz5r9xyFS0quZ7EZJdCP2c0vT3NLKglWaG4m7c2ATZ4rlcPTzSjJi1FlzEciU4nr0cKMLbhS5pdSWEbHioLU4TbqnW4tVP5cc51Qvt0feXEx4cvNu+HV3ucHmlUy9cL46x3TtZ/ndG9v9xXger5HWal/i6SnFpeA+xltwo1+Wz0KEx1GzwiDx+m99L9Z8DmjWFkrDAMlxYkssXRnUGiUWcTIR1/6cZjwDdOZYr0ZyskINmlv5Wi4400hxLXps3oLbo9xSaHXZfXw9El6tCoNEfaHHhWiWaFcWOEpsHLp6ludLnzEmvWwEUYvFAG6Js38LrHu4UQXXc1GZd9I4Ip6PucbrzDvRtdj61zPNlSDatJ6IKS/pTHLJaWrfhFmqCqOluJEF15oIl9GJn+xqnFRJbAdsLbpeuyquxSK0iLb7GfGBktsZ0c4mJc62vVJci2kKPQmuR3pLsY2J10mHluy2IL2t9hJrPocip7me6zSk63tr64hatCyczzp6lZJ7hDeNZe5RyuBRzpa9Jyp4zMNtQUNwLaHc5sFLdiXxEl3Pz4jeqb1CaREkcVauHJRcorrobInoUxUi0poMZRZcym1erJ+7kUXXO80twWLKAiGUXHKSKLvDWKPdxfWqKWQVXMptP1g+l96j6/axri54EaWyYH2lMVJdcPQF8VsouQmRHh+mhVUfN2NVoYYRBZdy2y9Wz63k61RzJ8BTREpzCdmSYR+C+Ec4ABal9EhnmFuiVhUiprjREiBtwR1FbN8vkKaPnXfh0uaDzQv1ObuSO6W1ztGtnaEbZTc0ya1+S7b51eTUvNzRdj7rFUquIb2VxqMsOvNkbYrrtZBEMoGi4C5TIq/St5VZhrfPuabs9iC6a1mzQcQXzl/he7eXyke0nqWNIZ5c3OHNTc6V/0QfSi4e9mku+7nY7Y6IaW0LHlWFiJftItUUNAU3k9xKSqwUp44piwBrp7qRRLeGbGluBM7O73B/KyvB9xczzm7Wpbx358BGaRrm3cWEzU1f3/9SxLY2os6pyQoti85GWPVqkeJScOPw/ublZ//Lxu6xRz9+7a5ulMVoVhUkz25uSQiRZTdLLY7VErOsvYkOJZe4YNnHzZzitkDBbSeLGK4lw9+VQXQ9xopxdm5seruimh1KLgmJZFVBgwwprhRaghtxckKmxFOKyH/zCKJbw9rPE400V2tazSGWQpGWK4enrlh6zpAnMuSR3Kt4hXgPai5haJxZ9rboTDPF9UhepL54NQU3ClEFz4toj4fmyVAE0Y1yMqsFKwuyaCxgb93hNTJ5JDcoHLj8mEh9XI20wWIubssXHwX3NJGTy2hEepwounu/M1ia24JGKMNaQg6Gm65wd5Vj1MjaGbnSbzjNnc4k+riSVYVoKW6vgusptxEkLTu7j6HXtAat6QuSUxcIiczd5Rk2r/S+3+fLc0yv4iTzTHIVuEsS/UftG0ldusqa4npDwSVLeKa7WvUFidd99DTXC4lQQrOXSx5TOlo1OpRcZzKOCfHu43ouOFtDxhS3J8GNcpm9Z7xlV5qMoruGyJUFz16u5pXLXTJ+32eHkmtEb7udHWPpbDraVr5rqgprviCsE5aIgus1PYFya4/XY96j6K4lS5qblZornmvrg2vriaVwzRAlt3uyleMjVxW0qU1xogquNZRbfzyeA42TKc8NI7RrC16bQ1hUFk7hfQWS+EDJJY+wunRTg9eCM+0U13OMUHbBpdzGw0t2JWl9X3jMz/UiSqjQWy+X9YZ20krufDXesy/5gq9ddNZyNhytqtADrV+kkoJrXU+g3MbH+jnqRXR7TXOXyDYvN9KV0iwL3q1JK7kl3F/UTUjLNhg5yhut9Sw6alUhaoobTXCtoNzmw/I5iya65C2RFw1HvoJJ6ulaciW5u7R7qLRK6NnJMhvXghEFl3KbnxFFt4c0twSrygKvCJI1UHIJccSji5sxmaLc9oPVyYr3znq7jNTPbUWzstDL4rNRpjVJQMntmJoaQ/ZLNtmqCjVE+sLUFgmmt/2STXQ9Tg49F6TukunKl8biM4sxYkQHSq4jI62c5CWmx2RPcS0Et2c+OLsv+l/PZBPdFqxOTqNXFiL3ci3I/L1/d6WzC9r07ErldgGgbmUWATDeoGXNSz2Wq2o1UonRUlwKbhkSkrp0Gx/d584qts/1x3fPnI9kmfc3P8DHd58zvc/3nr7AJ6+fm94nIb1AySUp8Dj7l045dsme4mqSSXAjJK2njiGTAL+/eakmuh9sXuCjOxlRbBHdL21e4jsJZP4QXzh/he/dXnofBoCHK4O3t/L6Ml/cY7pZ9565v5hxdtM+ken+AjiLMW64K/J8AhIxamfkniLCEO4oA8m1aElxs9QUMghupipBpmMFdJ//zLWFtSfFnpUFCbj4jEhByRXGeiBzhnJ7pD5u1qrCCDWF6IKbSRYPkUV4M4hulqsiHrCXSyJByTUgy7iP7JMVJOmpqiD1hTyi4GYRw7VE/5uivh6kiJbmlpJlykKEK4skBsNL7t2lzmpBaTKvyFxi6dJUyVl/z1WFKCmuFhGFJroEShFZ4rVeF0xzHxOxshANjZpfCT1/91swvOSSMnroMZWmEJqzcZnivkskwY0sfBZE/Nuji24LvZ+8trIUfkSqwWXDcgdXb8b5SwfDsqvLS0N6RPgi7F1wI8qdJ9FkP7LoWqe5ESoLJbCX+0CENTOlo07fGK8nsoKSG4z7JP3dUni2/ZaMKW6vghtN5KIS5THyfr2couV9FuEkdkvpFawsvdxauDalL4okd5qmr07T9LvTNH17mqZfOvIz/+w0Tb8zTdNvT9P038ge5jLzJYsrGZEYFSPZx424jW8NkfuCnsISRdqyEeGkQON1E6G2sJYoW/1G59QVRu/6nVbP1nq6UwYWJXeapg2AXwXwMwB+HMAvTNP043s/82UA/w6APznP8z8C4N9UOFYigFd5vhapS1re6UPNF5N3yqMhAF6C6y1oPUHRfUzkk8rIlYVeiFBLIIcpSXJ/AsC353n+vXmebwH8OoCf2/uZfwXAr87z/AkAzPP8h7KHSUgsek9xexNcIovnSUNU0a3FYpxYKdEqC1x8dpwso0m9KZHcHwbw+zv//OGn/26XPwrgj07T9L9N0/Sb0zR99dANTdP0tWmavjVN07dez333epaQuFwhefZ4qofkfWnHikhjdDxT3F4El+mtPj2JbiuR09yojLD4jPhSIrmHSh77dvUEwJcB/BSAXwDwV6dp+tKjX5rnr8/z/JV5nr/ydIqxBzZpw3uyQsklsYxVhVoiftF6CS6xwetkQvp1lS3NXUPkK0+Z0K77ZVx4fn/xxPsQTlIiuR8C+NGdf/4RAH9w4Gf++3meX8/z/H8D+F08SC8ZmKVLSRKbQHig/YXRU4prLbhMb/2g6NqeZHpXFkoYqZdLYlIiub8F4MvTNP3YNE3nAH4ewDf2fua/A/BPAMA0TT+Eh/rC70ke6MisrTawBL8erapCphS3B8ElvnicZESrLtS+D70Xmq7F+wpZK6PU8EZnUXLneX4D4BcB/AaAvw3gb8zz/NvTNP3KNE0/++mP/QaAj6Zp+h0AfxPAvz3P80daB13L3VXdFr4j7Q6SiR5TgtovOgouBTcSmZ+PTGPF1pxEZ60stIyZrK3TcVZuPxSVKeZ5/iaAb+79u1/e+f8zgD//6f8ICUP2tCEjFFwCPDwvH93bBATvb17i47tnYrf3weYFPrp7LnZ72fji02t89/WVyX09P7/Fi9v6ldjn529wexu3F3p/MePshvNrvWBEWUnpVnmRyDYjNyJr0pAsQ9szJVf7UHBjY/n8RKotjFJZIDZobR4xApRccpIRektRRod5VRUksRQNCm4OsopulpO/6JWFHmtlo3B3WVfxXOTKbroWJVeQ0bbUaxkflnWyQm9IfpFTcMkxRny+Ip18asE62Fu44DsmlNw93giL6ppdSbxm5GmU7EfeiQbIU1XIyIjC1ANWz1v2NDdKZSHKFS5CWqDkkpR4XAKLuDq5JS3KmOJScHPD54+QB9iztYGSS7ql5FJalLQiSnpTAwWXrMHieYyS5lpVFqL3cpdYqqe1jBGThgu4c0HJTQr7P3GxqipESXEtoOD2RTbRtSbzSe8hPBefnVo7MsLC6tGh5BJCqrEQid4F972zi6P/65lMz2uGNNeLCIvPRl8DQo4Td4IyIYHQvMRnndpkSnEziVAJa8X10M9/ct/PSCbtDSOkN4mIzHtPX+CT17IbWFhuChGN+eIe0w1zwOxQcjsjQ42hdXwY5y7GSIe0U9zsgquVxPYmvpY7o2XiS5uX+I6SoL/35CU+eTOG/JOxoeQ6wFWV+ngtOuPoMBkyCW6EWkF28dUUXak0t2Wr3/c3P8DHd59rPgbSP/cXwFmet254KLnkKKdK+afK/OxHlVNTVYiw4Ewzxc0guBHEdondY8wkvGRMnp/f4sUtEyAiC68RBUcq9eXYk3oijtwhfmQQ3H0yLGTTPLmROimz7rOvPQn2upJUcuWstWYWaYwYWcd85XfyQsklZBCY4raRQRSXiP43RH7+W4nQo68hyizxzFiulbk7sGvrmwNv+bvLMfRvjL+SHEVjS19NIi86W5uiWFcVohNVcKKLYQ29/T0lZJ6bqwGvUOXnbry38WooucSU1skKJWTa6SwbWqIQWXB7Jaq8R30tbOHM3JicWgtitSFEhulGo0HJJeQEvaQdmWbjRiCqAGoQ8W/VEt2MaW6WXi4hEaHkEuJAxqrCCCluROGzYtS/uwaeNI4NF3LngZJLiABMT+qIJrijE0nye01zvU9Wdym9UlVS75KYsCBRVyNkF0ouEYUzcnWIMBu3Z6KIXRT4eJCIjDxGjJtI1UHJDcJ9sO+U2o0gSJ94p1+aUOgOE+FxiZT0e1JTbyLtZJs+RB5DySVdUXLJrJReFp1FJYLARBC5yPT6+EictEW+QsL6FCEPUHITcmxMSe/jS6Rm5HqPD2MqE4NeBU4a78cpwsmQNJF6ucQPVhD06VZy7y+eeB8CIe5IpE0aVQVvcfEWt2zw8SKEAMDd1cb7EFbRreSSfGRdWat9aZCpjywUtjo8HzeNk6Kee+aE1PDmwJbA2Rlacu8uc52RZGfklbEkr3rueAAAIABJREFUBhTcNvj4vYtlL1er5sS1B6RnhpbcUeDgalJLT1UFCpoMfBzHRGpWLumf+TJO2ZiSS0inRF79bQ3FLD/ePW5pWEOS59Scdo6+HBNKLiGGjD5ZoTdRGZVeThp67uVGHSMmNSVHklNz4UluKLkDw0HXx4nSU2Pa004vQhYNj8c14kkSr5jIknUBMokJJVeRO363hsN7Rm4meki5KLiEEDIulFzSDR6LHqJeEoyYLkVM4UgbPZxEZDqZG73uBHBKD1kHJVeIuw7nyxGSmR4EjDymp5OlKHWkKPUsQqSh5JIURFys0DPS6VZPYkLehScTMa+cEB/uLziyMxKU3AreNHym97xX9anxLYSXGi2hePUNT5p84JoGkg1K7gJ3l34PUUQh1po1yBW1j4lyKTMbFFx7sj/mmXq5a/BYM8ANIQ6zJuG9z/12CgUllzxi9JmB2ftprZdOWVUgNWQX3SzwilAMuJNoDii5xASuiCUWULTGoZeTJ16xIUQPSi4hlUQdHxaJXkSElJH5JKP1CgYXnxESD0ouGQYumuibzIJFyEhwWg6xgpJLuiD6Ygf26AiRh1cK5Mi+FkGL+YKvscxQcgkhn9HrKnNiBxN1QkgUKLmEBKR2MQp7gYQQQsgDlFxCCCGEENIdlFxCiAqWfUleIiekH7g5EJGCkksIIYSQLuD28mQXSi4hhBACLrwkpDcouYQQQkRhfSQO3LSGjAwllxBCSFpGnJXLuduElEHJJYSkhqkhiQJH+BESC0ouIYQQQrrnycWd9yEQYyi5hOww8taWXHRDiA+1m7+MyjOOGCOFUHI74f5i9j4EQj5jxJ4keRfWSPrki0+vvQ+BkGIouYQQQgghpDsouSQ8nz+/8T4EEhSmhYQQQo5BySWEEEKIGF84f+V9CIQAoOQS0g0cX0RGhR1w0srZOScv9Agll5AK1uwixMHtZFQy1kk4ZYSQfqDkEkIIIYSQ7qDkEhKM7DMzeemYEEJIBCi5hBBRPrrnxwohhBB/+G1ESDA+vvuc9yEQQggh6aHkElLBJ6+fex8CIeH55J4zrgkhflByCVHmO3fPvA+BEFLIx3y/Dsn97cb7EIgClFxCOuGjO6bLZEzYA4/F924vvQ+BEACUXEJIYng5nBBCyDEouSQ837/NN1CeEEJ65Luvr7wPgZBiKLmEEELEYcpOCPGGktsJZzeT9yGQ5EguuGFHkpByODZwHS9vz6t+780NF5eNBr+JCNnhkzdcWU0IIYT0ACWXEJIaXhYnUbCacMKxhISUQcklhBCSFlZjCCHH4KcDIYQQ0incnZGMDCWXEEKIKFkrJNztLD+3t0+8D4EEgpJLCCGEkDC8qJyeQMg+lFxCiAqWXcmsySEhhBA9KLmEEEIIIaQ7KLmEBKR2OLzVCCNCCCEkOpRcQshncOENaYXVEUJIFCi5pAu+d3vpfQiEEGM4I1cO7vZIeoSfEGQYvvv6yu2+uUORPkwQCSHSTDfUpMzw2SOkEg5ZX4ZJ21hkPtForeqwD1/O928vvA+BDAK/gQgh3ZBZssg6ejmBql1kSghZpo9PCSLK/e1G/DZfcrh3Grj4jNTAEwwbWH2KwdnrSe+2+VYSg5JLyB7ZF2BEu2xqnbhRtgh5QLpSVbKugYuAD3N2oyfF5DiU3AU2r+5lb+9W9ObMeXMjn/IC3MbxELyMSbJgfWIhfeLEqxdECspsLCi5gckmxLe3T7wPITQjX2ZkmtsvfKzjXT0hhDxAySUp4GpcW3pItihffdLLgjMgztWa7BUtQo7Rz6eFIU/43Uk+JeoYMSZLxIIeTiQyndCNfDVoCxcxkzVQckk3lCx48NwQYnQ8ErgeJIyQkeD6DCIJJVeIzc3sfQikQzwvZ2ZKuIg9HicQEasKvGqSH42xmSQG8T4xOmITPETidoXHYUdNB6a5fdDLY9rziVzUKpXX+gqtyUCjsbm+8z6EVdByCDHEslPHhOktvUjZyERMcUksOOGH7MNPDULIUXpOukgdPGGQIcpkhVK4EQQpZXoVZ/4pJXcANLcfJGQtXokc5awdPobvYnm1ROsqEKtZZMuTDtcWUXKJGb2OftHuvmVLfCJDSavH87HTODHiVQpC+oeSS8LA0THj4NmvpOiuh48ZISQjQ0vu5lWuVYJbRt0bu5ddz7ItPusx8aK0leP9WPW44IxXZwgAbOJUV7ulv0+PTzm7eeN9COaMKr+7SG4Iwa5a33jLWwZ6fYwkTtwiTy+JOj6MEGu6lVzSBodjE20iJHS9SpwEfGzI6HCWfH74DAbhLNH3yamh2pxTqIP35c0eKwtbKHOPifKYRDgRioBlxSkyvS5eLoHVhjr4CUKIAJEvD0a+rBpFYj65vwkjdt70/jh4n7B5n7DuUlrJKq14tcLFx0SaGN8whAxGxmRGSw6iiC7Qv+CdIproR3pd7BP5xNGLkvUQvSwe5uz5PMT9FCEkAJEWn7UkQPxSLiea7GkT8e/VElzvFLeGtSfEka8qkTGZrv26FpRcYkqUTpXV5bfeGCHN3RJR/qTp/e/ToOWEMVJVoTdOrQc5tY5EcpF11AlHTwZ+m8f7ZiFDs9TJKrnc5bV/+toEJWNlQZOIogv0KYKRBZ4prg2RrlKROjYH3sKbwq15N6/uhY8mJjG/VYgZHJGSiwiVhRFlIbIUriH63xH1RMeLCCfCvOrVTtSEdwT4iUIICUN0yYkuiaeIftyaz73UiVn0qoJXH1di0dnSVbwoVTdtMo0TzUDsbxTC2XgBiHZZr/c0N7roAnlkd3ucGY6VEEKk4eT+QTh7PeH+aVlXZ8v97QZn53cH/9ubmw2eXBz+b7e3T3B+Hn9b5e++vsIXn16L3uYnr5/jvacvin/+O3fP8KXNS9FjIHYcksf3znzGJGUWWaa4tkQ7cSdEC0ouScf3by/w+fPTX+jfu73EF85fGR3RmHx89wzvKwn6R/dn+OAs58IIC/HNLLT7ZEjuPYjQxx0ZrldR5Nruu5mS68DmFrgbo150kJe353h2zh5GCx/ffQ7vb35Q9bsf3T3HB5vytNmLzKK7T4v49iS0+2gL7kiLJDX6uFx0RrJDye2Ms5sJ9xfragnReHF7jufBJPiTN8/w3hOd1DJzZUEzzQX6Et19epbXEjIluD1VFaTxGtm4S+2MXNI/eT5lCEmC1QrnCAvQLMgkQ6QMi+c0c4qrWVXw6ONG3c63ZiMIbumbC357JIVz92Tg5bh2LGSCotsP2Z5Lprj6jDg+jJOTbMj1aUPICiJcRivFY5FJpjQXyCdH5DFWz2HmFLcGr/m4hESH3xokJR6Xv9Zc5stQWZDESioounnJKLgeJ4JRpirwKhfZvDo8JjQT/MbY40nhvs+lHNpbOhoao1JOLQQgcZD8EqfokmOM+JxFOQHdRbqPm+lqmTasEMZkvE8eRTaNghxxO79TxfyWVatLHauljpYkURKL2gQn4pepNiNKU1Ysn6vsKW4N0asKURedkTHgNwUhg5MxzQUouhnIKrit1J54RqkqkFhwkVo9/Jao5EnA1HWJEUefSF9Oi9jLjQZFlwC5n5ssKa4WUa5ulRC9Gscagy95P4UM2bzqcxh9dnq8DOZVWZD+Uqfojo31cxIpxbWkhxNpzfFhtZU6bunbD0XP5DRNX52m6Xenafr2NE2/dOLn/plpmuZpmr4id4hybK7zrxQkOmglF5m+hLKLLmU3BtkFt/V9ELWqwEVn71KzEQTJx+Kn0TRNGwC/CuBnAPw4gF+YpunHD/zc5wH8GwD+d+mDHJ21fZxeLo9YLj5bg8eOQSVEXIBmnbBRdP3wONGIJriWaJ1AS57w93i1TZOIi8+XOLt5430IJyn5RPoJAN+e5/n35nm+BfDrAH7uwM/9hwD+EoBXgsdHErPUlbLaxSZb4uC5+ETjS95DdCm7tng83hEFd5QUd1RGXNeSnZJPph8G8Ps7//zhp//uM6Zp+uMAfnSe5//h1A1N0/S1aZq+NU3Tt17PdOEeaBkjJoFkUtBDZUEize1BdAGmuhZ4nVBE7OBGvJKihVRwMOJ2vlJkmMEfgZJPp0OnLp8NhJ2m6QzAfwLgLyzd0DzPX5/n+SvzPH/l6ZQrXZNGYiSIZC3hVNGe3aXHaCcjLcnOSF+2SzDV1cPrcdUQ3Ew1BYBVhS1RJitEqQi2zur3Yn55rXbbJZ9SHwL40Z1//hEAf7Dzz58H8McA/C/TNP0/AH4SwDeiLj4jxINMC9CAftLcLRRdOTxPHKIKbsuJJasKOnhfZTyF5dzbjONOJSn5pPotAF+epunHpmk6B/DzAL6x/Y/zPH93nucfmuf5j8zz/EcA/CaAn53n+VsqR0yGQmrxWenltUjzIb3T3B5Fl8luPd6PXVTBtSbbCXNEeHVyHBY/seZ5fgPgFwH8BoC/DeBvzPP829M0/co0TT+rfYClTK+4JUgJ1sV5i8VnXit4R0hIehPdLd7CloUoJwYRXjPHiJzirqH0BD/bQt61cEZuXxQVWuZ5/iaAb+79u18+8rM/1X5YhPTHJ6+f472nL1b9znfunuFLm5dV9/fx3efw/uYHVb+rzcd3z/B+5d8lyVbePjjjhi+7eEvtLlqC611TqGFtiut1Il4SPIyw6CxKV3efQxtcPUna510izicZAZBzTl7k7tMuGSsLEdC6pBspnYuSWHoS8TGILLitREpxM2K96MxrfJhlf7dH4nyaEVGkzyA9O0xRN4UA1iclNX06724uMIbobokmetpE/XujC270FHcNrCqQXon3yUbcyNxF4s46x8kgupFlN6IAthL9b4v4epDEIsUdYc3AMbJcXST6xPyE6wyJoc2ZL1lE2flsDWsqC9HT3CxEFpvIQriGDH+H5usga4qbCYk+riZRJytkrCpmIPannQGbV3feh9BE1GJ7VEa93BY9zd0SWXSB+AnoMbIccwbBbaXmhFVzwVnENQgRg49jjPQdvLnO50sxtgvpiM3NjLuL2C/6s9cT7p/KrqR8c7PBkwvfN8D3by/w+fMcp8PWkxYk+ejuOT7YrDv2NUSZvLDEMWn0mtSQQWJPkUVwR01xIwUEWovOMlf2yGEouSQFL27P8fzctrPx3ddX+OLTsu0GP3nzDO89iS1mkiPFKLrHWZLNWgnOLrGniJ7gb2kVXIsUl8Qmc/UwI5RcUsz97QZn5zpp7cvbczwzktjv3V7iC+evTO7rFB5pbuTZuftkFt1T9Cyra7GQ28w1hRo8qwrR+7hkPPhp20DrntAjndFZzzTsmSiL0CzkIUvCR9aTTXA9agpRUtxIVYUlNCYr1MzIHamrGxlKbsfUvMmyd5KkR4lpTlnwQvLL2kp0Kbv9YPV8RklwgTgnphnQXHQWdbLCWiQmNo1CbqMx5NA2eFpwlMhhJC9zRUkmapOaSF+aVjJB0c1P1ucwy2Kz6FUFCXhVkKyBkkvEaL1MFHVsjHaa63FJUvpL21J0s4rSyFg/b5FqCrUnpFGqCqOQ/SomOQyf1QM8uZEdr6VNTS2hdh/ulss9Vmfgo+x+1prmZhVdgLKbBQ+5HVVwtVJcyatevS060+7drlm3s0nmLVZ0LblnN2+8D0GUkRaqHSNDZcEyzR1ZdAHKblQ8nhfp156X4GZEKlhYupq3FJRwO1+yT9eSS+rgZZvHRNwVaEtE0aXsjonX8xBNcFvoNcX1JvKiM611OC0ToLLvBrslrc1M14w1e0Sql+tdWcjSzd2i8aXusbqdsuuDp9xGFFz2cB+TtarA8WG5SSu52fAa+WH9Zlu6XCTRy/WqLPSc5gL9iC5A2bXC83HWeG15Cm4tnhMVALuqgiZWVy8jVA4tJ0VFgJJLVhP5sk8krNPcyKJL2e0PT7ntUXC1awpribbgLFofl2ntYaZXAUx+B0quM55ndrUTFrSxrixoprkU3bd4Duen7MqwfRx7Sm+BPHNwW4ic4mrDYGZcOFVZgc3NjLsLW4E8u5lwfyE3QmS6OcN8Efeyxovbczw/j3XG2BMf330O729+IH67H909xwebF+K3W8q+nL2/eel0JHmIcnIQXXCZ4tYTdUY6yQ+T3KAcW20ZodOzhEUvtxSmufVoJrpRtlz1TiYjsvuYRHhcNF8vWQV3LZ7rCSyqCi2c6uNGvNqpsb4n294Aa6DkEhKUnkUX8K0vHCKS2FkT9W/XfI1EENxaIqS4kaoKkebjSnV1MwRaGaDkDoBGQV6741Ry+Up6JE20NLcVim490dJMDaL/fSMIrkVNIfJUGIBVBa0ZueSB4SR3cy074Lhl2PLIRKwsRKT1UmYW0Y0qu1uiC2EJWcRd+/UwwiKzWqRT3AizcTUCmZrgSDOZ5Za+x+HCs8E5ez3h/unhN0jL4rM3Nxs8uehjx5RjfPf1Fb749Lr45z958wzvPcm70ElrMdoW70VppRwTxEiL2CJL7Cm0T3YkBTdDitsDloEIWcfZzRvvQ1iErx4Slpe353i2MEGhdMrC928v8Pnz5dj9e7eX+ML5q+JjXEuN6H7y+jnee1ovf9+5e4YvCQmYhegCSCG7+5SKZa0MZxXXUii48oy6hW8p3MK+fyi5eNij+e5Sv7i+uQHuFK+cS48RW+L+doOz877T2iXWprm1jCS6QJ5Ut4beZXUtFlWVHgQ3SoorWVWQ6ONqLTqLOFmBrIenMSvQ2g7PYhVlxN1ZpC5DeS5Aq6H2yypKPxew6TVm6OqSeqye3x46uDWfGUxxx94EguuFHsgjudd6l5CjEmFWbsvlHIkzbMmVt1oL0GpWL3ulMtlEF6Ds9obl8yn9Gs1SU/BGKnjI1seNGCaNTh7JJWrwssxjoiYb0b4kLVMyym5urJ+/XgRXO8Vdg2RQMProMGIDJfcIrTuAjDLSo/VykHVloYc0N1JtAbC/HEzZzYXH89WL4FoQ9YS+hJarhbVXKT3TWo3dznqHktsZ0S6XRKssrCHyh39E0aXskl285Daa4LaQMcUdtapwimMVQ+tKYsu6Iuk9Bqyg5JJFsoxZ8R48bt3NlRDdnmSXwhsDr+dC43Un8f6IXFPwOpG3CC5arjKywtcPOeyFiBAt5d1ifca+prKw9ksgm+gCOkmV14p2yq4PnicaWultNsFdy5rPtog7nGmNDqsl6verN9P1+lj6/oXcxjqUXAHWjOqI2qlpOXNdOmO2rCxofMhapB29iq637FJ4dfF8jLVeX1LvBeserlZNwQPt4CPL1ckSNNb/bF7lrCYcop9nGsD0ynC2ljBROjujoLUADfD5sokquoCv7AIUXmm8H0/N11MEwY1WU5BOcS02gNCaj8u0Nh9dSS55QOONqH3mW3Lm7jlyJnptAZATXU3Z9WZX0Ci9y+w/Xt6PmeZrKKvgriXyglrAf8HZaH3c1klS0eln+SIJzZubDZ5c2FwCeXF7jufny1H3928v8PnzWP2RT948w3tP6vtIrdv/bpHcBniXraRobwtcyr609bqVcCneEnuMDHIL+Aiu5pWjiCluKxqBzalgSeoq7ZqqI3c7ewuT3ME49WbU7OWW4HEGH20RGhAj0QV0Ryd5VxiOESm1tCD636v9OhlNcKOnuCV4VRVITii5K2mZM0fa8VyABlB0pYkqu1uiXa5vJdPfov26iCK4tWh3/z0mKnhXFU7BPm5O4r6iOmBzM+PuQu+NsbkF7gyv/kw3Z5gv6iXfsrKwBu3awndfX+GLT69X/16k6gIAlfrClo/vPhemwrDEKTn0rjtEF9cSMskt0C64Fj1cwD/FzVBVGK2POwLdS+7ZzRvcX+T+M89ugHu9YQBi3N9ucHbeJrG3t09wfv7m5M+8vD3Hs4LObWk3dy3fu73EF85fid+uBlKiC+j1dLdE6+vWUCuZh+S4B2Fdg0Wi34vgatcUoqa40WbjZmLUq9CsKzhgMSv3ZPdWqZebGc2RYoBfbQGQvZRqscVp9AqDBr3VItZg9XyPKrgRsEpxPfq4NYvOiB1DSu6hPZgPDT+2Hq0xwhui5ExccpxYlG4u0JfoWsruaMI7CpZyO7LgZkhxoyPdx5Waf6+xEYQ617ZXQYeUXFLPUqcp88rWtWnuyKIL2KS6Wyi7fWB94qLxGqXgrqMkkLCoKrCPOyaUXCG85tKNkP4eQyPN1a4tAP2JrofsUnjz4PWc9SS40YiY4mYOWJawqDj2CiW3Y6L2cqUqCxGwXrEcUXQB21R3C2U3Nl7Pj9aJl6fgMsXtV2B7YnoVL3Wj5CbhWIfHg0iVhQhprmVtAYgtup6yS+H1x/u50JLbbIK7ljWfeRFT3FY0gh2vq6xWV5XPbk5PQYoCJVeZtcXwUeoHPaW5tfQouoBPqrvFW7JGxfsxj5reAj6C6z0TF7Cdi7sUrLRs5Vt7RTQDpYvrDy3WzwIltwKJeXPROzaZSvhZ01wghuj2lOru4i1evRPhhELzdeYtuLVo1hSkU9wRqwqRrsoe4tCkqcyEldz55fodokblVPqrdRYaqbKgxSiiC+imulFk11vIeiDK46gttxEEN+M83C0RdjcjBBhgxzMSl5Jtfkt2QAP8d0HzpHX7389u59Mvdqkd0nax2Bq4lH1By7zDmibeInsI7RMmqZM9L8HNlOJakWV02ChVRWsouWQ41oju928v8Pnz8utLtVv+fvf1Fb74tP7qhZToArJbAe8TSXa3HJK50cQ3otDukkVugT4Fdw2lKa5UVUHzqmHtlVBJYT1WbUy5EYQDlFxBntwAbxTHrJ7dAPf6Y1zf3t/rCfdPj7+RppszzBfH+8n3txucnZ9Oaj3S3LVkEl0A4VNdIKbs7nJM+nqQ3+hCu4tF1YWCu0zWFJc8ILGOKCuU3AWe3Mx4c2F7OWNzC9zxM0WVtbWFLKIL5El1gfiyu0+JIHqJcCZ5XSKb3AJ5BFeTaClulqoC0SO15E7Xt5iv8trg5ga4E0pmT4nx2c2E+4vDieyp/yZBL2luDT2JLqCX6gLvSk0W4T1GT7JpzYhyC9gKrlaKy8Vmy0SfrNAjYacr9ETm7szSmW7L/EEtNEaKAXUdNo+JC1ukxxdpTWDYJ8JEBmLH9vmm4K4jkuCuIUuKa9nHlerwWm0EkYl4hkLIETQ2h6Dorrw9pbm6h7CUH2KL9XOr8brtXXDXwBRXh+jz9DNAyd0hwxBkjcsd2ru2lKx+lR74veZDN7rotsruJ2+epZZdgMLbAx7PoZbcjiC4GjWFDBMVRqF0t7PsdCe50yubPmbE1Yq1m0IsEamykHmr35YFIhFTXcBedgEKbxZ2nyeP50rjdSn1Hoq+yCz7NAWvqsLp26z6tYNkrkBa053kHuLs5vGCpeh7Mfc2GJpp7gMRRLcX2QX8RYq8S4TnQuu1KJXeWguuZg+XKe67ePZxj95+wEDOkiEklyzTWlnoIc0dRXQBnVQX8JPdLREkazSiPOaacutZTwDsBHcN0oJLYhI9EFyCkivM2tWNNcXy2ssempWFEiTT3NIPTe0FEdlFt1fZBeLIV49EeWy3rzOt15p3PQGwFVzPmoLUlbyIVYUslK5LOnR1PCo8vTJiczPjzmBTCW4k8Zg1s3PXbhIBrN8oYkvtHF3g7Zdm6zxdQHam7qPbNpixW8IhGcs+j9cKb5E9hPYJlOTJX4+C65XiRq4qSLM2AOP4sMNQcgvw2PXMg6WNIVq3+QXkNocAyjeIAPoUXUBm4whAdkvgg7cfRHZ3OSZvo8pvRJndZxS5BWx3MtNKcEsF1yrF1eT0wm+744jEdO2/uIiSGximsn7UiG4tUUQX0E11gXclJZLw7tK7/GaQ2V2sai+9CK72hg9eM3ElUtxo2/j2tsA8IpTcwdDexrckzS3BO80F1otubZoLxBNdQC/V/ex+Aqa7pzglh9EEOJvIHiKj3AK5BHctGjUF6ak6LWTo43J82DoouQ1sXt3j7rL98sjmBrhb+dl0dgPcH/mdlgS4tbJQQkllAYghumvxFl1ApqcLUHbXICGVW1HuQVBbGFVuAXvBzTIPtyTFbV1w1kK2RFZjIwirPQrWwukKCoxeAC/pRWVZQFDzJdCSpkj08KSmL2zRnMLwzv0or5SPToRpBZ5YPvcUXN2aQm8prjXczlcOSu4emlv71lxm0DhDbH0zW/aapEeKAes7ZRTdByxE97P7Glh2R8L6xEbjhI2C+y7SM3ElUlxPPBedjb4RBJCtrnD9CriyW3GaGc3KghSltYVSIvVzAd/qAiBfXwDsKgyf3d+e/GSuNJAHPE5etE7QRhBcLSxT3NZgJlLKS9aRS3KF2Vzf4e4qzuWStZzq5XojtQANKO/mapNRdAHZRWlbrGX3s/tNMJ2BvIt3Iq8huFJXSiIvMtsSPcWVoEVia6+2Vm0BfORq8OgVyVMMLblr0J6VW7P4rIXWtFZiARqQK80FcosuIJvqAn6yCzDljYq31G6JnN4CPoIbpaYgmeJGrioQf4aR3LObN7i/GObPBeBfWfBKc3sUXQBhU13AV3Y/OwZKrwtRpBbQ7Y1HkFvATnC9kUpxPasKNX1cr0VnmuuRTjG/lP8+2mUs61Ng7Rixmu19T8mqZ2Uhapq7Fu2xYlu2X069prrAu5LhKbwApVeLSFIL6C+IlFzEmUlwR0lxPaoKxA5KrhJPboA3QfuyWxZn4g6S5gI2C9G2REp1AR3ZBWIJL3BazijAj4kms7tYTProQW6BnIIbJcXVwlOO18zI3Vz7r4VphZIbCOtebiSkN4gA+hVdIJfsAvGEd59jQte7/EYW2UNkk1uAgruWUsG1SHGtqwqnWDuClOPDHuhScqdXt5gvc/WPtGjp5QIyO6BJprmAruiuxVN0AbkKA2Aju0CM/m4pSxKYQYKziew+VvOZo8ktEFtw12JdU9BOcTXS2Jo+rvVkhbMbve9TDbqU3B7R6uVazcQtwbubC9QvRANQJbtSogvIpLqAvewCOYT3ENkFMiqWG49ElFsgvuBGrimUwNm3Y5B+9sZ0LX/Qn2D3AAAgAElEQVQ6pb3KsGbns8iUnDGXXloq/ZBbkwqsvaRWm2bUrl7+/u2FyMxLqS/XLd99faWyc9ohtjtRWcoNiYX1a0Dj9S2V3lJwj2OV4mpVFbhYzZb0kmvJmsJ2JJbeVJq9pF2k5xn2JLqAzHD3791eppZdgMI7Eh7PtZbcetcTgLyCa03rd5q1qHYTjF3LXG1cA+sKitRMWKhdfOa9+5nUODFAr7agvRBti3dPF5Dt6m6xqjHssi8/WWsN5AHPExetE7UI9QQgnuCuoacUtxbJ+bjWi86mV3HjaUquAGtn5VbfT+Mishakuruli9A0pi0AeUQXqJ+nu0W6q7tlVxYshReg9GYiShIfXW4B+/4toLvIDPCpKZSgneJKT1U4xdpFZ8euRnttBGHB8JK7ub7D3VXMSyqSLAmyhMRKprlrWCu6a/EQXUA21QXkZRfwSXd3OSRSFF8fokjtlt7lFrAV3Aw1hahzcbewj2vP8JLrRc3OZ0t4VxZKkU5zAf2xYtlFF+hbdndh2mtDNKkF9MR2CwV3mTWCGzHF5dSFB3rYCAKg5IbkVC+3pbKgPTMXkE9zo/RzgTbRBepGjAFy9YUtGn3dLZ5VhmMckzHKbzkRhXaLxaLIHuQW0BdcTyxSXK2qwqk+bjeLzpzI8epNTIbtfbdYzsyV3iAC0O/nAvWiC4yT6m6JKLy7nBK30QQ4ssQewmrah/Skkt4FN3KK6w2rCj4MJblnN29wf1H2J29e3eHusvwNa7X4zBvJNNe7tgDkFF1ANtUFdGUXiC+8+/QowNlEdh/LMXbR5BawF9y1eApuSYrLqoItGnsY1DCU5Erw5GbGG6EurUcvV2IBWvTaQgbRBerrC0Be2QXyCe8+ErJYI8rZJbUGS7EFYsot4CO4GRaaWRJpqgJwfLKC9fiw6FByg6LVy42GRm0BsBNdAG6pLiBbYQDe/ZKn8OoxorCWYi22gLzcAv7pLRBTcJniliPZx826mVUrlNwOyZbmatQWABvRBXzrC4B8qrvFMt0FxhVe0o/YAjHSW8BGcNdSKri9cSoFltwEQpuzm/Xfj950K7nTq1vMl2Vvcu1ZuZkWn0VHa9rCFi/RBdrqC0A/sgs8lh5Kb194SO0WLbkFxhNcrZpCtBQ3WlVBkp43ggA6llwPahafnerlelYWoqa5a6nZKMJDdAGZVBfQl13AVngBSm92PKV2ywhyC9iNCfOuKRBSAiW3AsnFZ1q0VhY8iFJbAHxFF2hPdQE92QV80t1dDkkTxTcGEYR2i6bYAnJyC+RJbwE9wV1DD13c2vm4a7fzHRlK7gnWjhHrjaiTFoD4ogvUL0gD5FJdQH5x2i6e6e4+FF97IgntLiPJLdCP4ErWFKRorSpYzsflZIXHUHITs7yALM42vxq1BSvRBdBNqgvoJLtALOHdckrCKMBlRBXZXbSldouk3AJ+6S3Qv+BGT3EtWTtZYc2WvtOrGPNwj0HJNeLU4rPaXm4rJZUFqTQXyCu6gH+qC8jILqBbY9iyLx1RpHeXEnnrXYQzCOwhrKQWkBdbIJ/cAjEEtxQpwdVMcbmVrw2UXBKSnkQXaE91AdkKA2Aju1siprwlrJHASEKcVV5PYSm2QEy5BcYWXMuaQlQk+7i9T1YAOpHc6foW81XZG3/N1r41WG/v21pZiJrmriWL6AKxUl3ApsqwS1bhXaJHsfTEWmoBHbEF/OUWiCm4a7CuKWTq4gL6fdyMM3KBTiS3dzQrC5J41haAHKILyKW6gKzsArbpLpCj1kDsoNgeplfBjbjQzALLqsKoO51toeRWUjNGrLaXu0TrODCpNFcDC9EFYLogDZBJdQF92QXshBeg9I6Gh9RuodyeJorgriFKikvikE9yr18BV/IfjMd2PethjJjllAWN2oK26AK5U11AT3YBP+EFDksQxTcfnjK7i5bYArJyC1Bwt2ScpqBVVehtPu78Un8dQz7JTYBGL1e7siCZ5lJ01yGV6gK6sgv4Cu8Wim9sogjtLiPJLWBXTwD0OriAT01BO8U9VVWIwJrxYRmg5BpzqrLQQqaZubVEF12gvr4A5JJdwL6/e4pjYkX51SWi0G7RFFsgptwC8QVXo4fbS4pb28etWXRmPlnh2uezOLTkzi+vMT0bZ8VySy9X5P6Dp7lAbNEF2lNdQK7CALz7RWyR7gIxpHfLKQmjAJcRWWT30RZbQF5uAd/0FuhfcEvprYs7+qIzILjktjK9usV8Kf+BtKVm8VkLrZUFqTTXW3TX4iG6QJxUd4tFugvEqDSUUCJvvYtwJoE9hIXUbokqt4BtegvoCq4GUXY2a6kqZOrjTtdxdkHrWnIz4jllQeo2atDs5wL1ogusn7ywRSrVBXLKLhA75S1hrQR6S3F2aV3CUmq3aMgtkDO9BfQF16umILFYzKOq4En0LX2BQSX32IYQkhMWTi0+0+rlllCS5nrUFoCYogv4p7qAruwCNsIL5JfeJXqXTGs8pBaILbZAm9wC4wiuJFGrCtqbQAB5N4IAAknu/YuXOHv+zPswwrNUWbBMYim65UikuoCO7AI+wgvkqTYQO7zEFogvtwAFdw2RUtxRqgrRCCO5WdHo5WovQJNKc7WILLpAW30BaE91AT3ZBWzrDLv0nvKSw3hKLaAntkAfcgvE6+AyxW3j2GSF3saHAZTclPSe5q7FUnQBmVQXyCO7gL3wAsflh/KbF2+h3aIptkAsuQXiC65GTcEyxW1Fo4/LyQoPUHIVidrLBWTTXO/aAlAvugBcUl0gj+wC/sK7yyFRovjGIorM7qIttoCs3AIU3Ec/K5zgSgmuZlWBtNGN5E7Xt5iv9D7ErLf3ba0sSKW50qmwtugCSJXqAnJ9XeDdL9kRhHcLU18/IgrtFguxBfqTWyCe4K66XUEZ9q4qnOrjWiw6y043knsM7Vm5Xkhs8yu5C9oqeVUUXSBffQGQTXW3aKe7wGOJiCK9W5YEjBJ8msgCe4ysYgvIyC1gn94C+oIbtabQejsZR4dlonvJPcaxMWI11C4+064sWKe5PYgu4FdfAPLK7pbo0rvPGonrSYgzyushrIR2l17lFrBbYJZFcCVS3GhTFcy3813J/YuXorc3rOQe49is3OrbO9HLXfzdhcqCZZqrsZgtougC7akuEFt2ARvhBfJJ7yk0xXBfoHuRUGk8pBbQEVsgt9wCsQRXmhLBjZriWiw6y7ARBEDJ7Z6yjR18agurb9tYdIG6VBeILbuAj/ACfUmvJJTaw3hJLaAntkB+uQXiCW7EmoLmgjOrPu7ajSAibekLUHJXobH4rLWyIJHmFt+Xc20BsBVdoC3VBeRlF9AVXsBXegGK76h4Ci2gK7WAnNgC7XILUHBP317xXathXVXocUYuQMk1QbOyUHQbgmluZtEF1k9eANpTXUBOdgG9dHeLV8q75ZjsUH77wFtmd8kktkBOuQVyCa7UbS2luJmrCpmg5AqhsfNZKZZp7hq0RRdAqlQXkJnEsEUz3d3iLby7UH5zEUlmd9EWWyCm3ALx01tAp4O7RnAzpLgcHVZOTsm9fgVcXardvPTisyWWKgtZ09yH29QTXcCnvgDESXW3aKe7gG+t4RSnZIoCrEtUkd3FQmoBebEFYsgtEFdwpYVYarGZV4pLHlP0rpym6asA/jKADYC/Os/zX9z7738ewL8M4A2Avw/gX5rn+e8IH2tqWioLRbcvlOaOJLpAXX0BkEt1AR3ZBXSFF4iV8h6jRMIowofJILDHsBJbgHJ7iEiCa11TiEr00WFaLL47p2naAPhVAH8awIcAfmuapm/M8/w7Oz/2fwD4yjzPL6dp+lcB/CUA/5zGAXtzavGZZmXBKs3VIqLoAv6pLvDuF1oPwrslqvjus1bmMktxZnE9hqXQbtEQW0BObgEKLuBTU2idqNCy4Ky2j3ts0dmxyQqrx4ddv1p7SGKUvFN/AsC353n+PQCYpunXAfwcgM8kd57nv7nz878J4M9KHmQpa7f2ldwQohXtjSHW4Dk79+0x2Iou0JbqAu2yC+iku4Ct8G6JWm9opUdRzIKH0O5CuT1O7Ra9WQRXamRYa1WBfdx1lLxjfxjA7+/884cA/sSJn/9zAP7HQ/9hmqavAfgaAFziWeEh9kOEykL5dATf2kLNzwP1ogu0pbpADtkFfIQXyJ32Eh+8pRbQE1tAVm4BCm7dMYjfZDUaY8NGp+Tde+hVddAipmn6swC+AuBPHfrv8zx/HcDXAeALZx+YNa+nV7eYL9d9WFovPgNsFqAB8gmstugCMJm8ALSnukAe2QX8hHcLxZdsiSC0gK7UbomU3AL1cgvEFFzp7myUFPcUHB12mJJ384cAfnTnn38EwB/s/9A0TT8N4N8F8KfmeR72fMRzlBggO05szU5omqJb/TuOqS6gI7tAv8K75ZjsUH77IIrMbrGQWiBeagv4yC0QR3Ajpbgl1FYVRl10BpRJ7m8B+PI0TT8G4O8B+HkAf2b3B6Zp+uMA/nMAX53n+Q/FjzIYGjufFd+3cZrbg+gCfqkuICu7gH66Czz+4veU3i2U3zxEE9l9sootICO3AAW3VHCtUtweqgrRtvQFCiR3nuc30zT9IoDfwMMIsb82z/NvT9P0KwC+Nc/zNwD8RwA+B+C/naYJAP7uPM8/K3GA88trTM+uJG7qINaLz5Z6uRIL0ErT3FFEF2hPdYG4sgvoCi8QU3q3LAkVJViP6DK7xUpqt/Qqt4BdPWHt73gJrhVaC87WTlbIRtE7f57nbwL45t6/++Wd///TwseVGu3KQkmaK70LWi+iC9SlukBc2QVshReIU20ooVTEKMMPZBHXJXoQWyC/3AL6gutJ68gwCdjHPU6M+VkG1Cw+O4VmZcFynJjn7NwtVYvLKkUXaEt1AZm+LqAju4Cv8G6JLr6HWCt3maS4F3E9hbXUAnpiC8jJLdC/4EZPcUeoKkRlGMmtQWvCgsQoMck017u28Pb29ScvfPa7AqILtKe6wLtfZtmFd0sv4nuKEcQxKh5Cu0VTbIFYcgvY1hNqfs9zoZlVittSVRh50RmQWXKvXwFXl95HcZTWyoJUmpultvD29vPUFwBZ2QX00l3AT3i3jCC+RB5Pod1lNLkFxhVcyxTXk2N93J6I8ekhyNpdz4D6xWctlQWrNLf4tlb1aGOKLlCf6gLjyC7w+AvbQ3oBii95lyhCC+hLLSArtoC/3AJ2/VtvwZVKcVurCtZ93NVb+h5hfnktcjtLxPlECYrHphBbrNPc7KLb8ntAbNkF9IQXiCO9wGnRoQDnJpLE7mMhtYC82AJ55bb297xn4ZYKrkSKy6pCG3E/cQbAMs2NILrAOtltEV2gLtUFZGUXyCe8QCzp3WVJkijBvkSW2F2shHZLZLEFfOS29nc1BVdqJu7Dzy1/fyyluFpjw4DTVYWa8WERZ+QClFxVJEaJlaS5krUFQE901972w+03JLMNvwu0L07bIp3uArbCC8SV3n1KJYsyvI4s8noMa6kFdMQWiJHafnYbhoK7tierIbjFtyUguCVwdNgyuT+5ViI9RgxoHyUmkeYW35fwIrTq46gQXaCybxsg1d2ike4Cj79MPaQXiCu+h6iRth7EOLusltKT1AJxUtvPbiNwevtwHzq3bzkTtzXF1agqVPVxr1+JH8caxvjEa6Sll6u9McSWLLWFmtt/ez++qS4gI7uATrq7xTrl3ZJdfJcYRRAz4SGzu2iKLRBPbgEK7vLP2aS4pAx+aiegdAFaptrC2tt/ez9+qS6QS3YBP+HdckxCepJfoo+3zO6SSWyBceT24X507sNyoRlQluK2VBVGGB22hZL7KbVjxCQoqSxI7oK2prawVnQB3Y7u2/tqS3UBGdkFYlcZdvGoNRyD8ksOEUlmt2hLLSAvtkAMua39/UiCK41FittSVahZdBaZLiW3ZlZuC0u9XKvKAiBfWwBqOrR2ogs09G0FZBfQS3cBPeEFYknvllOSQwHOT0SJ3cVCaHeJLLeAfXoLxBPc3lLc0ehScjXQnpdrneYC8UQXsE91t78PxJNdwE54gZjSu0uJIFGEfYkusftYSy2gI7ZA7uR2S++CGyHFra0qnFp0FnV8GEDJNSNimvvws3FEt+Y+3t6XQAVBWHYBPeEF7KUXiCe++5RKFmV4Hdnk9RAeQgvoSS0QJ7Vt/f3a6kAmwS26LcW5uKNCyd2hpZfbOkrs4Tbk0tzsogv4pLrb2wDaZRfQSXe3WKa8WzKK7yFapC2rIPcgqmvoUWoBWbEF2uW29TYiCq4GUimuZlXBqo9rtaUvkF1yr18BV5erfkVjVm4pUmmudG1hLRaiW3M/b+9PKJFVkF2gH+HdckwmMspvCaPJYnS8ZHYXbbEF+pNbIK7gZk1xuY3vY3JLrjFLvVyrNLf4tpTSXKBOdAH7VPfhPuPILmArvIC99G4ZTX6JLhFkdpdRxVbidqzktua+NAQ3Soo70uiwLSkkd355jenZlfdhhMK7tgDUzrm1TXUf7jOm7AL6wgvEkd4tlF9yimgyu8VCagF5sQXk5FbitnoQ3DWUCG63XVzn3c6AJJJrifa83JLKQmmaO6LoAnFkV+K23rldA+EF4knvllNyQwHuh6gSu4+V1AI6YgvEklugH8GVrCmUspTialYVqrbzDcKQktvSy7WoLDzcjlxtAYgpuoB9qvtw34JdW4V0F7ATXuDwl3kU8d1SKkaUYV+yCOw+lkK7C+V26b5t7k9LcCOluEtVhd42gdgSSnLvX7zE2fNnIrdlvSHEGiTHia1ZhBZNdAG/VPfhvuPLLmArvFsyiO8hKMM6ZJXXQ3gJLaAntZ/dvqDcStxey0SDEQS3/Lbibv4QeUYuEExye8E6zY0kuoB9qltzn+/ev7zsSt3eo9vf+5K0kl4gr/geQkLaMolyT5K6Bk+h3TKa2ALt47oiCq4GUikupyoch5J7gKVersTuZ6VprnRtYS1rRRewT3W39wnEkd3d25O8zUf34ZDy7tKT+K5lVHGMSgShBfSlFpAXW8nb9Ehva+53reAyxc3JsJKrPS+3JM3NUFt4+Hlb0QViyO7DceQUXsBHeoHTsjGKABMdoojsLhZSC+iIreTteqW3NfcdQXAtJyqMODpsS9eSq9nLlUhzi+/Lubbw8PN2ogu0pbqt9/3ucSiMDTMQXiCO9O5CASZLRBTZXaykFogvtkAuuQViCG757S3ft0RV4dSiM8vJCvcvXorfZn7Jrdj1rATtUWJbJNPch9vTFV3ApqcLxEh13x6L0tgwI+EFDn85RxDfLaVyQxnOSXR5PYSl0H52nwnEFpDZJteqe/vZ7wUR3JIUV6qmoJniRl90BvQguYGRWoD2cFvl3VxN0X34nXypLiAjuw/HozQ2bO9LSFt6geNf4pHkdx/KcCwyyus+HjL72X0rSa3G7UuILRA/vX34HT/BLb8t3RS3Byi5DUhVFqTT3IfbjCm6gE+qu3v/tcewj/okBQfp/ey+g6e+JUjIV++i3IOgrsVTaAF9qdW4j6xyC+QU3Awp7iIBdjsDKLknkagseKW5q2/bSHSB9lQXaJPd7TEA8ukuoLiwzFF6gZypbysjSmAveMssYCO0mveVWW6BWIJbfptl928xNizzTmdbhpZc7QkLa9AYKbYmzQXsRReII7stx7KPlYx6S+9nx7EgEz1LMPEjgsTuk11qgRhi23octfNvNQXXcpoCUJbitlQVMvRxgcElV4KSyoJkmvtwe7qiC0B9QdpnvxtEdiWO5Rhm0xSCSO8+p2SEAkyOEVFi9+lBagE5sQXa5RaInd4CeoIbKcXVYn55bXp/3Utu6xgxqykLwLpurqboArapLtA+8ktDdoG8wrt/X7tEkV+gTGQown2SQWL3sZRa7fuTFFvAX26BmIJbfrtyn3MSKW4PVQWgF8ltGCNmVVkoTXN7EF3AJ9UFZGUX0Et3Ab/k9dAXZyTx3WeNDFGI/cgorYewFlnL+5cWWyCv3D783v/f3t2F6rbVdRz/jqO9eMwMOjdhlkEamQSGlNFFhRHqhd5IKEgZklcVvRAUBUVdVUQQ2IuRWEGWdVGHKCTKKCIlQZAUhIOFSYG9mBdnm2l7dDHXWGuuuZ+XMeccL///mL8PHNbae68159x7z2eO7xl7PHPWD9zStwvzPIvbg5vIjQ8+TXj8Wb0P46TcuyyUXrYwbdNe6E7ft29WF8rELtif3U263k3BWfiesze0jhzJo0Rqrt4xm7Q4DouztomH2VuoF7iltbijgpf1uOAocntquWQB6txS7G7bbUMX+sYu1JvdTUaM3lP7n/MYwDmOFnpHYSVood2xWJ21TbzM3kLdwO0xizv6vXHnFLmUWbJQeja31rKFadvtQnf63umjldiFcsELbWZ5oX/0zh0xgMU2SyGbtD6mGmELx41b8BW4pWZxd6/HNXKPXFDkmlY7dKH+nRfuf//20IXSj+m9+9xj8ILdJQbXBnYLxyi+WAzYpV7HWCtswVbcwliBK20cInL33mEB8pYs1FibWzN0p+37mtWFGg9ymD6WjF1ot6xhzmr4zuXEgLVjlro8ROzSiFELZcMW+sbt9L02A7fXLG7PpQqtbx8GB4ncHKXuslDqUb+b998wdGHfrO70/Zu+fdpGpdiF8sELfaIXfITv0tqAsP77ORqP0XpJz99P7agFm2ELfeIW/AVuSaPcOiwZJ3J33Eash1qzudO224Qu2Ipd8BO80C96wcc9dNfYEyFef8+1jRaq11j5/baIWigftmAjbqfvHyNwSysxi+vpzgrgLHL33Eas1ZIF6L9sYdp2u9CFfUsYpu+fPu6JXahzX9sWwQt9ozc54hvKrMSNtGHt77tV1ILtsIX9cTttw27grt923ixui9uGeeUqcmvLWbJQ+nZiFkMX+szqTtvgZhubNzFtp9IbwJaDxOjRO3fEABa/rMVs4j1qk6PHLawPXMvLFIoxdGcFMBi5D59+wGPPfrz3Yey2Zm1u7dAFXM3qTtuYPu6NXah7x4NWs7xwelDpHb6J7qggLVkN2KWWQZvUDFuwF7fTdsYK3FXHUfANZ6OtxwWDkVtTiSULUH7ZwlpbHhbhcVZ32g4329m1mbvtVX1M793ntYM3sRy+c7qjguTyErBLPYI28RS2t9vsPHsL7QJ3/fadzuIaNFbkOnvz2dzaR/62Ct1pX/tmdcFu7EL94E16hi/YjN+5LXGjMLbNa7Be0jNmk9pRC3bDdtqOr7ittUyh9W3DvL3pDEaL3AJybyVW41G/1kMX7MTutK1dm7rbZrPH9N7/cavoTS4NWtYD+JxSEaVYvm/EOF3DQsgmLYIW6v2eS4XttK0+cQvbAnftEoUaM7i5gVtkqcKO9bgPn36wf/8nKHIrW7tkwXLoTvubPvaO3Wlbd5+XCl5o99SynrO9SyMG8BpHj7qjsRSxc62CNjlC2MK+uAWbgdv6jgoeZ3HhgJGbsy639GzuaKE77XN76ML9C1fJ4C0Zu9D+DgeWwje5NhAeIYLFH6shOzdK1ELZsJ22d4y4nfZTJ3B7Pt3MisNFbi+1n4S2NXRh/Z0X7vY5fdwTu+Bjdvd2+41meecshu9c7sCpGJa9PITrUuuQnav951U6bKdtllk6NGrg5loTuL2XKtQ0XuQWevNZqcf8ztW6rViSXmA9Yndv6ELZ2J22d/d57eC93U/H8AVb8bu0dsBVFB+Hx3hd6hmzSYs/R8thC33idtpvm8Dt8eCHEksV4oNPFziS9caL3MZqvAEt2RK6sG1Wd9rf9tidX1gszezebfPu8xrBe7ufzg9wuDTQWg7gU/YM2ArktkaI1FwWYhba/pnXCNtpu3biFtrN3k77qhe4zWdxd6r1pjNQ5F7UezYX2ofutM/963WhXOxCveCdtl1s04/uy9B9bEcK4GtqB4C3iD5ShO5lJWLnevz91Qrbadv+43bat+/APQJ3kRsffJrw+LN2baPUQyGStbO5XkIXti9hmPY/fSy5lAHKBu+07fs/rhm90H+295RrA/toEbyXotEvixE7N1rQ3u2j7G36ei1LuNu/vcBdK2cWN2upgtH1uOAwcq1qEbrApnW6W0N32u++Wd3pGKaPJWIX6gbvtP27z2sHL/h4eENuGCiGpSfrAbvU63+WPEYt9J21vTuG7b+v2oHrbZlCC2NGbsabz3Jnc9csWagdutD2DWl3+9w/qzsdx93nHoN32kfxXZzft4P4XVIMS0neovWc3jP/LaJ22o/NsIX9cQvjBG4ur/fGnRszcge3Z/kC9I/d6Vi4OZbdm7pVO3infTz6cy3DF3zG79LWeFEc+zVKsJ7TO2TnPEctlAtb6B+30zHYWaIA7Wdxe91ZAQ4euV5nc2F76EKZJQxQNnahXvBCveid9vXoz7UOXzjGQxtKhpKC+brRw3QLSzGbtIraaV/1HoFtLW7BR+B2fbOZ4fW44DRyS7z5rKaWoQvr1+nC/lndaf/lYnc6prvPSwYvtI3eaX/3f9wjepeOEMFrKOBkyWLAzrWM2fv79RG2iQL3vNxZ3BGWKoDTyC2pxmwutAtd2D+rC2ViF3wEL7RZ2nB/f6d/3kL8JjkD/NFCWMZhPWCXegXt3f7rhS0obk9+X+UHPRzlzWZz40ZuoSef7bEldIHmyxegTOxOx1F2dhfaBi+0id67fZ/+eUvxO6dH+Io13uJ1qXfMTsdQN2jnLMct+ArcWssURpnFBaOR+/DpBzz27Meb7a/WbC5seyJaj3W6yd71unfHUn52F+oHL5y+4LcM3+kYTv+81fhd2hIeCmMB/9F6iYWgBf9Rm4wQt9AmcKvM4hpfjwtGIzdH1rrcCrO5NZ6CdkqPdbpJqVndu2MqP7sLbYI36Tnbe/84Lv+6lwg+pUTcKJT7GjlQc1iJ2LmWQZt4CVvYH7fQPnA96XlnBXAcuaWteQpa7fW5yd51umAzdqFu8EL76IV+4Tt3aZD1HDNYv70AABBaSURBVMC5WkaWp6A+enyWZDFk50aLWigfttA/bmF74NacxR1pqQIcIXIrrc1tGbqwbZ0ulI1d8BG80D564fzgYiF+IW9wPkIIl6JwHI/1gF3qEbTJUcM28RK4Rzd+5K6wZjYX2oUu7JvVhTLrdaH87C7UD17oE72J9fidWzPIK4jFC2/xOtczZOdqRy3UCVsYI25hW+BWu6OCg/W4oMhtLp2krZcvQJlZ3aTG7C60CV7oG73JpcHLYgAvbQkHhbHs4TlWr7ESs9AmaBMPYQv74xbsB+5oSxXgKJFb8XZiW9+I1mv5ApSNXagzuwvtghfOX9R7xC9cH/A8RPAppSJFsezLyHGaw1LAzrWM2aRW1CaK20nVe+I6mcWFo0TuCmuXLED70AXbsQt1gzepHb5wehDoFb5zo0ZwrtbRNFpUHz06S7IasEs9ghbqRy2UD1soE7fgJ3B7zeI+fPpB1e27jtxaj/fdErpb7Qld2L+EAe6/mD0Eb7K8eLaIXrA363tK7sA7egyXoig8Hi/xutQrZqFN0EKdqAUbYQv73lxWPXBXzOL2vn0YOI/cVVYuWaj9JrS5EqEL+2Z1b7dVeHYX2gQv9Ive5NLgYimA59YM5Api8c5ruM71jNgl71EL5cIWytzztnXgruJomUJynMhtoGfoQp3YhXrBC2NH75yH2d9r9gSCAllKGSFUr7EUskmroE28hC30j1vYHrgjvtlszn3k1lqyAG3X58K+Oy/MlYxdqDO7m7Sa5YXLF+leAZwzmHkK4XNKhYli2acjhOlaFkN2bqSohfJhC+WeVuYicCvM4tZejwsDRG5trUMXyszqQpn1uve2VzF2oe0s71KvN7bluDYYjhDBuXrG0giBrdisy3q4zrWO2FM8hi3YiVuwO4NrYT0uHC1yK95KbCmdeD2XL0D5WV2ot5Rh6dQFUOH7qDUD65GCuDQFoniK2DkLQQv1ozaxPGubuApch2txkyEit+aSBdh3t4USyxeg3BIGqBe8UDd6oe9sL1wfLCxG8JyCWMRvrF5jJWahXdAm1mdtk1KP5fUeuC2WKsAgkbvKxtncvaEL22d1odx6XagXvHC86F2yuO53q70hoEiWmkYN1XMsBexc65idqxW2UD5uwWHgDsBs5D58+gGPPfvxOhvvELqwf60ulI1dqBu80G5pQ3Lugts7fsH/LPBapSNE0ezf0cJ0DasROzdq0N7bz4BxCxsDd+MsrpX1uGA4ctdavWSh4frcuRKhC+VjF+qs3723/cazvHOXLs4WAhjyB7nRYjiXtUDyFN3W/uyOxkPAnnKEqIU6YQs24haOOYObDBO5rZR4Glqp0IW6sQv1ghf6Ru9c7ze4rbVmwDxqELegcDw2r+E61zNi51oG7e0+K4UtlItb6Bi4A8zigvHIrbpkAXYtWwC6L12YK3U3hqVWwQvnL3Q94tfDzG+OtQOxoliOaIRgPcdKyC61DtuaUQtlwxbKPL2sdeBaZDpym9ixbKHEGl3Y94a0uZJ3YzhleZGoHb23+zUy45tcGzQ8RfDS3sFekSy9jByqOazGbDLabG1iMW6hzxIFa7O4MFjkbr6VWMfQhfKxC/WDF+xE7+3+O8dvkjPYeA7hS2qEhsJ5PEcP0jWsx+tSj5i93XeDqIXyYZuYCNyBZnHBQeRWX7KQ7Axd2Ld8Ae6f4N6CF/pF7+3+jcfvXO7ANWoMr+EpiHoGuac/J5l4C9i5njE71ypswX7cwrHfZHaK+chda9eDIXbecaHErO7ttirM7kK74IX+0Xt7HI7id2ntIKgo7kuheWyeo/UcKzGbtIxaqBe2UDZuoW/gWlyqAANGLtR/AtolpWZ1b7dXKXahbfDC6YtTr/CF6xdvDxG8tGWQVRiLPGrEYD3HWsgmrYN2rmbcgtHAHWypAgwaubsUun9uyVldqBu78OgLukX0gr3wnRsxgk8pOZgrmKWnI4VpLqsBuzRy0CalwxYKzt7uCFyrs7gwcOT2XLaQlA5dqLdud6lX9ML5i52V+E3WDB6jBPE1LSNDQW2forMOL+F6Ss+YTVpFbWI6bqF54D58+sHm/a01bOTulv7Sd8bu/ET0GrzQN3qTSxdHawG8pCAuTwElo/AcrUsWInZuhKB9ZB8GZm/B9gxuMnTkFlmbW/Dxv6XX697bdsPgBRvRO+c5gJe2DniKY5F+RgrVS6xF7FLrqIX6YVv8DWUF1t5uDdyWs7gweOQWUzB0oW7sQvvghfMXlt7xC/kXZW8xvFRqkFUsy5EcJU5zWA/YpR5BC85ma+cKvbHMwwxu0r9AKit2p4XCoQv1Yxf6BO+c5fhdunaB9x7BuWoO+gpo2UIhuo+3eE16RewpLcIWbMct+ApcOEDkFlUhdKFN7MKjL9Ie0ZucunhZDN+5LQPFUcI4l5dYOUKMe/m7kEd5jdZzLMVs0ipqofL9bQ0FbuulCnCQyC1639xCb0g7pVXs3u7vzIu4V/zmXOish/DSmsFIQWyHAlBaGi1az7EYs0nLqL3dp5O4BX8zuImLYijxaN/iD4ioNKsLde/IkLV/QzO+S5cukt4CeKnEQKdQFmnnKHF6ieVwnesRsadUfypZhQc6lAjcHrO44CRyzaoYusmpF0Tr8LUcvXO5F1vvMXxJ6UFX0SyjUJBu5yVk56xEbdLkkbtGA7cnN6O9ydlcuH9SVQ7eZPli6R29S1YjOFEM57MSBopt/6ycS0fmMVZzWAtaaBS1SaXH8ZYK3F6zuOAocqFc6ALlYxe6BC/0X96wZG2t71Z7BgQFclkKJJHLRg1YsBmxSdOYXaoUt+B/BjdxNxKXCF2oHLug4D3h0oXKWwBfs3XAURyLHM/IgXqN5YBd6hq0cxXjFsYJXHAYuaVVWcKwZCB456zFL6y70I0WxHOlBztFs0h5R47SrTzFbGImaqF62CalA7fnUgVwGrmlZnOT6rO6cxVvQZbr0gvXYgAv5VwsRw7hNVoPxopq6UXh2Y7HYM1hKmqhWdgmI83gJm5HpNKhC51iF7oG71LvN7WVsuUirDDeb9TQGCHeR/27kXJGjdfEXMQuNY7auRqB23sWFxxHbk1NYxdOn9hGwjfnouA1hJf2XOAVyGNTIIoXo4fqJeYjdqlj1CYjzt7OuY7cGrO5c03W656zPPmNRO8p1y4so0TwJSUHFgWzyHEcOUr3cBe0YCJqk9pxa2EWF5xHLrQJ3aRb8ILp2d5rci9GR4jhHC0GPYW0yDqK0fpchus1Bwpbi9xHLtQP3cRM8CbnXjxO4ndpzQVOQbyP5QFbAX5Mls9J2WfIeF0yFLNLR4zbZIjIhXahm5gL3rlLLzanAby056KpQLZNsSNizyFC9RrDIbvUK2ytLFNIholcaB+6iengXbr2Ih0kgi8pebFWMIuINQrSDRwF7Cm9Z2utxW0yVOTC3R90j9gFZ8F7Ss4L/QAhnKvHYKKwFvFDwdmZ83g9p3fUgt2wnRsucpNes7pzl05ClwGcbLloKIyL8TJoKsalBi/nvxQ0aKheYiFiz/EQt8mwkQs2QvecUyew6/C9Zu1FSlHsnmJERB5xwGC9xHLMLnmK22ToyIX+yxfWWJ7sQ0fvNaUvhIpmEZH1FKVFeIrZOY9hOzd85CaWZ3XPWfuiOHQUX9P7Qq3IFpG1el+35CSvwbqG97hNDhO54DN01xh2DfAIvA1WinIZjbfXoHR1hJA9ZZS4TQ4VueBr+UJJJV6wCuUDURCIiENHjdM9RgvbucNFbrLmL/VoQXxOyYuHgllE5NgUpHWMHK1rHTZy15ifMAreMixd3BTcInIUlq69Uoai9jxF7koK3vF4vOgrzEX68njdkDEoavMpcnfYe6IpkmUrDbAiIv4oUNtS5HZU8mRXMIuIiJSlKPVNkTuIWi9ExbOIiFimEJVzFLly0ZEuHgp6ERnBka7bIpcockVuaGAQEREZx2M5XxRCeGUI4SMhhKdCCD9+4te/IITwBze//r4QwgtKH6iIiIiISK6rkRtCeAbwVuBVwIuBN4QQXrz4sjcDn4wxfjXwy8DPlz5QEREREZFcOTO53wg8FWP8aIzxf4HfB167+JrXAr998/kfAa8IIYRyhykiIiIiki9nTe7zgH+Z/fjjwDed+5oY4+dCCJ8CvhT4j/kXhRDeArzl5oef+YvPvvMftxy0DOcJFueKHJLOAwGdB3JH54IAfM3Wb8yJ3FMzsnHD1xBjfBvwNoAQwvtjjC/L2L8MTueCgM4Dmeg8kETngsB0Hmz93pzlCh8Hnj/78ZcD/3rua0IIzwSeC/zX1oMSEREREdkjJ3L/AXhhCOGrQgifD7weeHLxNU8C33Pz+euAv4oxPjKTKyIiIiLSwtXlCjdrbL8feDfwDODtMcYPhRB+Fnh/jPFJ4LeA3w0hPMU0g/v6jH2/bcdxy1h0LgjoPJCJzgNJdC4I7DgPgiZcRURERGQ0WQ+DEBERERHxRJErIiIiIsOpHrl6JLBA1nnwIyGED4cQPhhC+MsQwlf2OE6p79q5MPu614UQYghBtxAaUM55EEL4rpvrwodCCL/X+hiljYzx4StCCO8JIXzgZox4dY/jlLpCCG8PIXwihHDyGQph8is358kHQwjfcG2bVSNXjwQWyD4PPgC8LMb49UxPzfuFtkcpLWSeC4QQngP8IPC+tkcoLeScByGEFwI/AXxLjPHrgB9qfqBSXeY14aeAd8UYX8r0xvZfbXuU0sg7gFde+PVXAS+8+e8twK9d22DtmVw9Elgg4zyIMb4nxvjg5ofvZbofs4wn55oA8HNM/6PzPy0PTprJOQ++D3hrjPGTADHGTzQ+Rmkj51yIwBfffP5cHr1Xvwwgxvg3XH7GwmuB34mT9wJfEkL4skvbrB25px4J/LxzXxNj/ByQHgks48g5D+beDPx51SOSXq6eCyGElwLPjzH+acsDk6ZyrgkvAl4UQvi7EMJ7QwiXZnjEr5xz4WeAN4YQPg78GfADbQ5NjFnbElmP9d2j2COBxbXsv+MQwhuBlwHfWvWIpJeL50II4TGmZUtvanVA0kXONeGZTP8s+W1M/7LztyGEl8QY/7vysUlbOefCG4B3xBh/KYTwzUz35X9JjPFh/cMTQ1b3Yu2ZXD0SWCDvPCCE8B3ATwKviTF+ptGxSVvXzoXnAC8B/jqE8M/Ay4En9eaz4eSODX8SY/xsjPGfgI8wRa+MJedceDPwLoAY498DXwg80eToxJKslpirHbl6JLBAxnlw80/Uv8EUuFp7N66L50KM8VMxxidijC+IMb6AaX32a2KM7+9zuFJJztjwx8C3A4QQnmBavvDRpkcpLeScCx8DXgEQQvhapsj996ZHKRY8CXz3zV0WXg58Ksb4b5e+oepyhYqPBBZHMs+DXwS+CPjDm/cdfizG+JpuBy1VZJ4LMrjM8+DdwHeGED4M/B/wYzHG/+x31FJD5rnwo8BvhhB+mOmfp9+kybDxhBDeybQ86Ymb9dc/DXweQIzx15nWY78aeAp4AHzv1W3qPBERERGR0eiJZyIiIiIyHEWuiIiIiAxHkSsiIiIiw1HkioiIiMhwFLkiIiIiMhxFroiIiIgMR5ErIiIiIsP5f1w1tQKkf5v1AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 864x864 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    " # Save solution in VTK format\n",
    "# file = File(\"/home/fenics/shared/poisson.pvd\")\n",
    "# file << u_sol\n",
    "\n",
    "# Plot solution\n",
    "import matplotlib.pyplot as plt\n",
    "fig = plt.figure(figsize=(12,12))\n",
    "plot(u_sol)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}