{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Advanced Tutorial 2 : build a Runge-Kutta solver for non-linear ODEs \n", "\n", "📜 _Previous base tutorial on [Runge-Kutta solver](./02_rk.ipynb) focused on the Dahlquist problem to explain how to use the_ $Q$_-coefficients._\n", "_But we can also use those for non-linear ODEs **as long as**_ $Q$ _**is lower triangular**._\n", "\n", "Consider the following (non-linear) ODE system :\n", "\n", "$$\n", "\\frac{du}{dt}= f(u,t), \\quad u(t_0)=u_0,\n", "$$\n", "\n", "where $t_0$ is the initial time. \n", "Computing the solution after one time-step $u(t_0+\\Delta)$ using the $Q$-coefficients (or Butcher table) or size $M$ :\n", "\n", "$$\n", "\\begin{array}\n", " {c|c}\n", " \\tau & Q \\\\\n", " \\hline\n", " & w^\\top\n", "\\end{array}\n", "$$\n", "\n", "corresponds to approximating the solution at **time nodes** (or stages)\n", "$[t_1, \\dots, t_M] := [t_0+\\Delta{t}\\tau_1, \\dots, t_0+\\Delta{t}\\tau_M]$ \n", "by solving the **all-at-once system** :\n", "\n", "$$\n", "{\\bf u} - \\Delta{t}Q {\\bf f} = {\\bf u}_0 \\quad (1)\n", "$$\n", "\n", "where \n", "${\\bf u} := [u_1,\\dots,u_M]^T$ is the vector containing the node solutions (or stages),\n", "${\\bf f} := [f(u_1, t_1),\\dots,f(u_M,t_M)]^T$ the evaluations of each node solutions and\n", "${\\bf u}_0$ a vector with $u_0$ in each of its entries.\n", "\n", "Then, \n", "$u(t_0+\\Delta{t})$ can be approximated via the **step update** :\n", "\n", "$$\n", "u(t_0+\\Delta{t}) \\simeq\n", " u_0 + \\sum_{m=1}^{M} \\omega_{m} f(u_m, t_m) \\quad (2)\n", "$$\n", " \n", "and this process can be repeated for each successive time-step.\n", " \n", "> 📣 If we do not want to solve $(1)$ all-at-once (which can be very expensive for large problem),\n", "> then $Q$ **must be lower-triangular** to allow forward substitution, _i.e_ solve for $u_1$ first, then for $u_2$ using the $u_1$ solution, etc ... " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Prerequisite\n", "\n", "Consider for example the perturbed Lorenz attractor :\n", "\n", "$$\n", "\\begin{align}\n", "\\frac{dx}{dt} &= \\sigma(y-x) \\\\\n", "\\frac{dy}{dy} &= x(\\rho(t)-z) - y, \\quad \\rho(t) = \\rho_0 + \\epsilon \\sin(t) \\\\\n", "\\frac{dz}{dt} &= xy - \\beta z\n", "\\end{align}\n", "$$\n", "\n", "Before solving it, we first need to define its **differential operator** $f(u, t)$ with $u=[x,y,z]^T$\n", "and the associated initial solution $u_0$ for our problem :" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "\n", "u0 = np.array([5, -5, 20])\n", "sigma, rho0, beta, epsilon = 10, 28, 8/3, 5\n", "\n", "def f(u, t):\n", " x, y, z = u\n", " rho = rho0 + epsilon*np.sin(t)\n", " return np.array([sigma*(y-x), x*(rho-z)-y, x*y-beta*z])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In addition, if we want to use an implicit method, we need to define a `fSolve` function that solves\n", "\n", "$$\n", "u - \\alpha f(u, t) = rhs\n", "$$\n", "\n", "for any $\\alpha$ and $rhs$, using some `uInit` parameter as initial guess. \n", "To simplify, we can quickly implement one using the `fsolve` function of `scipy.optimize` (interface for [MINPACK](https://en.wikipedia.org/wiki/MINPACK)) :" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "from scipy.optimize import fsolve\n", "\n", "def fSolve(a, t, rhs, uInit):\n", "\n", " def res(u):\n", " return u - a*f(u, t) - rhs\n", "\n", " return fsolve(res, uInit)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Implementation\n", "\n", "Let's retrieve some $Q$ coefficients from `qmat` :" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "from qmat import genQCoeffs\n", "nodes, weights, Q = genQCoeffs(\"DIRK43\") # Implicit RK method of order three in 4 stages" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "and define some arrays to store the node solutions, the step solutions and time values :" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "uNodes = np.zeros((nodes.size, u0.size))\n", "\n", "tEnd = 10\n", "nSteps = 1000\n", "\n", "uNum = np.zeros((nSteps+1, u0.size))\n", "times = np.linspace(0, tEnd, nSteps+1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, for each time step and time node, we have to solve\n", "\n", "$$\n", "u_{m} - \\Delta{t}q_{m,m}f(u_m,t_m)\n", " = u_0 + \\Delta{t}\\sum_{j=1}^{m-1}q_{m,j}f(u_j, t_j),\n", "$$\n", "\n", "and compute the step update before next time-step :\n", "\n", "$$\n", "u(t_0+\\Delta{t}) \\simeq\n", " u_0 + \\sum_{m=1}^{M} \\omega_{m} f(u_m, t_m).\n", "$$\n", "\n", "This can be done with the following code :" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "uNum[0] = u0\n", "for i in range(nSteps):\n", " dt = times[i+1] - times[i]\n", " tNodes = times[i] + dt*nodes\n", "\n", " # Solve for each time nodes (stages)\n", " for m in range(len(nodes)):\n", " rhs = uNum[i].copy()\n", "\n", " for j in range(m):\n", " rhs += dt*Q[m, j]*f(uNodes[j], tNodes[j])\n", "\n", " if Q[m,m] == 0:\n", " uNodes[m] = rhs\n", " else:\n", " uNodes[m] = fSolve(dt*Q[m, m], tNodes[m], rhs, uInit=uNum[i])\n", "\n", " # Step update\n", " uNum[i+1] = uNum[i]\n", " for m in range(len(nodes)):\n", " uNum[i+1] += dt*weights[m]*f(uNodes[m], tNodes[m])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And that's it 🥳 ! We solved our non-linear time-dependent ODE on the given time frame, without caring about what's in our $Q$-coefficients ...\n", "\n", "> 🔍 For a **strictly lower triangular** $Q$ **matrix** (`Q[m,m]=0`), there is no need for the `fSolve` function, as the solution is simply $rhs$.\n", "> That's the case for all **explicit** Runge-Kutta methods. \n", "\n", "We can plot the solution with respect to time : " ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "\n", "plt.plot(times, uNum[:, 0], label=\"$x(t)$\")\n", "plt.plot(times, uNum[:, 1], label=\"$y(t)$\")\n", "plt.plot(times, uNum[:, 2], label=\"$z(t)$\")\n", "plt.legend(); plt.xlabel(\"time $t$\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ideally, the previous code can be written into a function to allow multiple calls :" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "def solve(nSteps, scheme):\n", "\n", " nodes, weights, Q = genQCoeffs(scheme)\n", " uNodes = np.zeros((nodes.size, u0.size))\n", "\n", " uNum = np.zeros((nSteps+1, u0.size))\n", " times = np.linspace(0, tEnd, nSteps+1)\n", "\n", " uNum[0] = u0\n", " for i in range(nSteps):\n", " dt = times[i+1] - times[i]\n", " tNodes = times[i] + dt*nodes\n", "\n", " # Solve for each time nodes (stages)\n", " for m in range(len(nodes)):\n", " rhs = uNum[i].copy()\n", "\n", " for j in range(m):\n", " rhs += dt*Q[m, j]*f(uNodes[j], tNodes[j])\n", "\n", " if Q[m,m] == 0:\n", " uNodes[m] = rhs\n", " else:\n", " uNodes[m] = fSolve(dt*Q[m, m], tNodes[m], rhs, uInit=uNum[i])\n", "\n", " # Step update\n", " uNum[i+1] = uNum[i]\n", " for m in range(len(nodes)):\n", " uNum[i+1] += dt*weights[m]*f(uNodes[m], tNodes[m])\n", "\n", " return times, uNum\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "... which can be used to try different time schemes or resolution : " ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "times, uNum = solve(200, \"DIRK43\")\n", "plt.plot(times, uNum[:, 0], label=\"$x(t)$\")\n", "plt.plot(times, uNum[:, 1], label=\"$y(t)$\")\n", "plt.plot(times, uNum[:, 2], label=\"$z(t)$\")\n", "plt.legend(); plt.xlabel(\"time $t$\"); plt.title(\"Using DIRK43 and 200 time-steps\");" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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OffwQzStosCOUPUxw0EcUANUVOAsoL5TqDHDbf/755+KH++KLL4qdCn7k8szH2VJPCB55wMBZLnbeEAHY6cswMaoQEAXB+7vrrrvE81DZYX1Aw8EX0SOkX7ATww4OHhfsOHEGijM1a1DCipQDDggQL6hUwf8BKDvGNoSnBTl8GY2CWIHowwXrZb2zxPJx5iWrpbB98F6cPTDi/2N9EGJGSgkHaYTDsaN0NrqAUDVKTW3RqVMnse0QysbZLMpEsW6I6qDaAT4cZw5K+CxwtolSY+zYsX6I8OH/46CAcmJXQcoHr4XvOc6S8ZnCH4UIl0yLuApSjUgp4vsPYYnPD987fIfMy4Ydge+QFOY488ZB88cffxR/w7clvVv4PeBzw3vHCQQiJIi04IQCUTdzwY3vIz4DfGcQOZBN4fC+8blLkHpBVA+iGbdlUzhU+6ESqrweKzLyguodCAIIH3wf9U6BAUQaEVWBZwXfVZwk4XeEtA88dLgu72QCgg7bBBFWfCeRPsWJCdoRyN+gFB34XWCbY7vi+a5+L7EN8DdEIhr44fePdA/uQ/RVVpJhX4vXRjoTn/+sWbPEfgKfH+MmLhpymYsIuPA/+OADU9euXU2hoaGiigXVB0888YQpMzPT4rlww6NKJSYmRjyvQYMGpttvv9107NixcquBUCnjTNXA7t27TUOGDDEFBweLCgC8/ty5c8Vr7tixw+VqoIiICFFtMGfOHFNeXp7F8z///HNTy5YtRVVEkyZNTLNmzTJ99tlnNqtZUMHTrVs3sV7VqlUzderUSSzP0XvEe0EFROfOnS0qrlBBgmXMmDHD4vnY7uZVEJL8/HzTo48+aqpbt65YPl4PlRTW209WA7366qs2t8+vv/5qat++vfbZvfzyy1pFmCfVQLgcOnRIe+7BgwdFNUl4eLipZs2apgceeMD0xx9/lFsNZP65oHoJlTqotkB1080332zavHmzw+3tiJMnT5quueYaU40aNUzVq1c3XX755eLzwfLNK3fkd2jTpk3lVjPhc3nkkUdMtWrVEp9Lz549ReWI9WvaQ257Wxc8Zg5+iw8++KD4PuHzw+doq+oHYDuhQgu/Z3wGqIJBJZotUAmF6h/5ncByrSvJ7IGqHVSxoVoO6yx/D/aqgVBtY46976vc1qg4MmfVqlWiagr7hYCAAPF7wN/Wz7PFk08+KfZx+Pzl7x2/w9TUVIvP84477hDfWVQlWu8HXPlerly5UiwPy6pdu7bp6aefFhV8EuzTBg4caIqNjRXbHpV6119/fZnfPuMaPvjHXaHDMJ6CsxqcSSL6Ic13DMMwlQ2kBxFxddSnhjEOTgMxXgPpDeTh4bBHnl42kkLImoUKwzAMYw8WK4zXQP4f3gJU38DzAC8MPBwX42A0hmEYxntwGohhGIZhmEoNly4zDMMwDFOpYbHCMAzDMEylhsUKwzAMwzCVmoveYItmVqdPnxbNi4wY0MUwDMMwjP6gcwq6AqNKtLzGoBe9WIFQKW+uC8MwDMMwlRPMnytvoOxFL1bkfAi8WWdbYTMMwzAMU7FgxASCDbbmPFU5sSJTPxAqLFYYhmEY5uLCGQsHG2wZhmEYhqnUsFhhGIZhGKZSw2KFYRiGYZhKzUXvWWEYhmGYimqdUVBQwBvfwTw4Pz8/0gMWKwzDMAzjIhApCQkJQrAw9omMjKS4uDiP+6CxWGEYhmEYF5uZnTlzRkQNUHpbXkOzS3Ub5eTkUEpKivi7du3aHr0eixWGYRiGcYGioiJxIEbn1dDQUN52dggJCRHXECy1atXyKCXEcpBhGIZhXKC4uFhcBwYG8nYrBynmCgsLyRNYrDAMwzCMG/A8Ou9tIxYrDMMwDMNUalisMAzDMAxTqWGxwjAMwzBMpYbFyiVKdmE2FZZ4ZnhiGIZhqh7nzp0T1TvHjh1z+Lxrr72W5syZ45V1YrFyCbI1eSv1/rY3jfxpJGUWZFb06jAMwzCViFmzZtHo0aOpUaNG2n1TpkyhsWPHWjzvueeeoxkzZlBGRobh68Ri5RLkx4M/UomphJKyk+iv439V9OowDMMwlYTc3Fz67LPP6I477rC4f9OmTdS9e3eL+9q3by8EzTfffGP4erFYuQTZlLxJu73+9PoKXReGYZgq0a21oKhCLiaTyaV1/fbbbyk4OJhOnTql3QdhAuGRnp5OS5YsIX9/f+rVq5fWHwX9ZNatW0fTpk0Tpcg9evTQ/u+YMWPEaxoNd7C9xMgpzBERFcn+tP0Vuj4MwzAXO7mFxdTmuaUVsuy9Lw6n0EDnD+U33ngjvfzyyyLV8+6779ILL7xAS5cupQ0bNlBERAStXr2aunbtqj0fXWfXrl0rBMr27dspNjZWiB0Joi14rfz8fAoKCiKjYLFyiXEi84TF38fSj1FeUR4F+5d++YwkNTeVnv33WWoX047u7XAvN1ViGIbxIj4+PsJnAnMsxgW89dZbtGbNGqpbt654HKZa3C/B3KPTp09TdHQ0dejQoczr4f9BqCQlJVHDhg0NW28WK5cYpzKV0F/7mPZ0JP2IqAo6nXWamkQ28cryP9zxIa09tVZcOtXqRL3qKKFGhmGYi5WQAD8R4aioZbvKFVdcQW3atBFRlWXLllHbtm0tPCvmkROwbds2m0LFfP4PZiUZCYuVS4yUXGUCZs3QmpRXnEcH0w7SqaxTXhMr/576V7v9z4l/WKwwDFMlohWupGIqmqVLl9L+/fvFjCOkdcyJiYmhtLQ0i/uQ/rEnVs6fPy+ua9asaeAas8H2kuNszllxHRMSQ3WrKWE/iBVvcCHvAp3MOqn9vePsDq8sl2EYhlHYunUrXXfddfTRRx/R8OHD6dlnnyVzOnXqRHv37rW4b9euXcKAa4vdu3dTvXr1hMgxEq4GusSAZwTUDKnpdbFyNP2oxd+HLhyiwmJuTMcwDOMNjh07RqNGjaInn3ySJk6cSC+++CItXLiQtmzZoj0HAmbPnj0W0ZWSkhLauXOn8K6gYsgc+F2GDRtm+LqzWKkg4BOpiA6yZ3PPamkgb4sVuZxucd2oWkA1KiopomMZjjskMgzDMJ6DdM2IESNEqfHTTz8t7uvSpYto/oaSZEm7du1ENdD333+v3ffSSy/Rd999J8y0EDiSvLw8+vnnn+nOO+8ko2GxUgF8vvtzGr5wOM3YMMPry0YqBkQFR3ldrECggXrV6lGD8Abi9snM0rQQwzAMYwxRUVG0b98+kf4x55dffqE///zT4j6khlAlhIgKmDBhgujLgp4ur7/+uvY8NI9DSXPPnj0N/9hYrHgZdI59Y8sb4vbCQwu1tIy3uJCviJWIoAiqU62Od8VKtiJWalerLQQLMPewMAzDMBXPyJEj6e6777ZoHGeLgIAAeuedd7yyThePfbmKgL4m5mxL2UZDGw712vLTC5R8Y0RgBEWHRCv35adTfnE+BfkZ19DH3NwbGxoreruAxMxEQ5fJMAzDuM5DDz1U7nPuuusur21ajqx4mQNpByz+3nV2l9eWXVxSrA0uRGQlPDCcAn0Dxd/eiPCcyzsnrqODo6l+9friNqeBGIZhmEojVtCOF7XomNwoQf5r+vTpolseGssMGDBAuJCrMtYpl4SMBK8tO6OgdDJmeFC4+DxgtDWPehjJuVxVrIREU73qnAZiGIZhKpFYwbTGjz/+uEyd9uzZs2nOnDliPgGeExcXR0OHDqXMTOXsvyoiTaZoN+/tyALSPSAsIIwCfAO0fivmVUJGAWF6Pu+8FlmRnhV01IWPh2EYhmEqTKxkZWXRTTfdRJ988gnVqFHD4uD15ptvipKpq6++muLj42nu3LmiZe/8+fOpqiJNpj1q99DEiqtTMz2NrCD9I0G/FW9EVjILM7VS7aiQKIoLiyNfH18qKCnQIi4MwzAMUyFi5b777hNNaIYMGWJxf0JCghh8ZN5MBhMb+/fvL0ZR2wMDkzIyMiwuFxPnc89rkRU/Hz/R8t7oqIYEc4BkZEUiIytGe1ZkVCfEP0QYef19/SkmOMZiBADDMAzDeF2sLFiwQLT2hV/FGggVYD2XAH/Lx2yB18IYa3mpX18xal4syIM2RAKiC96siJFiBQ3ZJLVCa4lrowWTjOpUD6xeZtkp2SxWGIZhmAoQK4mJiaL0ad68eWUmOJoDk6c5SIlY32fOU089Jdr9yguWczFh3udEVsR4S6xkFWaJ67DAspEVw9NAahWSRQpKNfem5LBYYRiGYSqgzwpmDaSkpIh2vhJMeFy9erUw1B44oJTwIopSu3Zt7Tn4P9bRFnOQKsLlYgRzcHKKlDHakUGRSkXMGe81ZdPSQP6lYkWrBjI6spJf1i8jIyvJOcmGLpthGIa5uDEssjJ48GAxqRGjpeUF8wZgtsXtJk2aiOqf5cuXa/+noKCAVq1aRb1796aqiGzI5kM+IhWjpWC8UDZskQYKrFbGYGu0Z8VWZAXN4QBHVhiGYZgKiaxUr15dVPiYExYWRtHR0dr96Lkyc+ZMat68ubjgdmhoKI0fP56qItKvgh4nfr5+VCukllfTIFKshPqHlomsoKwY1TqypNmrnhUvvX9sf4w6aBTeiCbFT/LKMhmGYS42zp07R61bt6b//vuPGjVqZPd51157rQguTJ06tWq323/88ccpNzeXJk+eLMZRYyDSsmXLhNCpimh+lcAIr6ZgHEVWkI7y9/GnIlORKCGWpl/DyqaDynpWvPX+IVQwjwk0jWxK/er188pyGYZhLiZmzZolpjGbCxUEF44dO0aLFi3S7nvuuedo4MCBdMcdd1B4eOm+/aJvt79y5UrRW0UCIy062J45c0aMmkYKyDoaUxXFCgRCRUQWpMHWvBoIvU7kjCAj01EyDWQeWZFpIG94VopKimj58dKU4+9Hfzd8mQzDMBcbubm5YpoyBIg5aNzavXt3i/vQ6BWC5ptvvjF8vXg2kBeRJlNUApn7RWQKxmtpoIDSNJD5ehgZ4XBksIWQyS3KJaMHSJqPG9h4ZqPXmvExDMNUFurVq0fvv/++xX3obQYLxvHjx2nJkiXk7+9PvXr1Eo8VFhZSYGCgeA6auCLIgCyIZMyYMfTtt98avt4sViqobBnUCK4hUjDAG11cbfVZATGhxjeGyygs61nBeqBJnDeiS3KAZOuo1qIhHYYqeqsKi2GYKg5OfAqyK+Zicu2kq2fPniJKUrrqJpHiwaVhw4aiYhfFMBI/Pz9au3atuI3iGGRCli5dqj2OaAu8LWjYWmU9K5ca0mAr00BIwUAoJGUniYO1UX4RRx1svdXFNjO/bDUQFDqiK8czjov33zC8oWHLP3LhiLiOj4kXy917bi/tO79PG6jIMAzjNoU5RDPrVMwGfPo0kVnvLGfEypdffqn9/fXXX9OJEydEDzMAXwqGC0t8fX3p9OnTojimQ4cOZV6vbt26QqigDQnEjlFwZKUCIivmJlNZEeSN8mV7YsUb5cu2qoG82WsFghDUrVaXmkY01VJDDMMwlxI9e/akffv2ibl9mMX39NNP00svvaQVtsCzYt3Iddu2bTaFCggJUaLjeC0j4ciKF7E5SFB2cfXCfJysgrIGW29FVmy9d+CtXjNSDMWGxWpTnhPSEwxdJsMwlwjwASLCUVHLdgGkeJDawSicv/76S0RMbrvtNu3xmJgYUZ1rDtI/9sTK+fPKvLuaNZVjmVGwWPEi0kRq0efES1OPgeyeWyFpIBtN4SwiS7neEStxoXEU7KecNRxNP2roMhmGuUTAiBgXUjEVSXBwsBAeP/30E3388cf022+/iVSPpFOnTmJMjjlo8HrVVVfZfL3du3cL0y5EjpFwGsiL5BXliWtpKpVn+t4wmKJ0V4olb4sVjBmQ1U7mc4kseq0YKNZgIEvOLo2sNIlookVWuCKIYZhLMRX09ttv05AhQ0S3eXOGDx9Oe/bssYiulJSU0M6dO4V3BTP5zFmzZg0NGzbM8HVmseJFpFgwFyveKBs296uUJ1aMOHibL9v8vXtrmCGMzXnFeVraCQMk/Xz8RKSJ5xIxDHOp0bFjR1Ge/Oqrr5Z5rF27diJV9P3332v3wdPy3XffCTPtiy++qN2P/mg///wz3XnnnYavM4uVSiJWjI6syGWjbDfQL9CmWEH0w7wXid7pp0DfwDLt/L0h1qQgiQqOoiC/IArwC6A61RS3+8nMk4Ytl2EYpjLyzTffiM7xLVu2tPn4s88+S2+99ZaIqIAJEybQqVOnxMns66+/rj0PzePQcwWRGqNhz0oFixVv9DgxFwzWkQ0A8QIvCYQK1kP2gdFt2SjrsxHRsa6Gwg8BZcWGmWvVjrkAYiUxM5HOZJ/RfXkMwzCVjZKSEjp79qwQGAcOHBAREXuMHDmSDh06JARK/fr17T4vICCA3nnnHfIGLFYqwLMS7B9cJrKAsmZ4O3DW7y2hZA7WA2IFEQ7MzdGT7CLbnXPNxRrSNJmFmWUMuHqWLVuIlTAlssKN4RiGuRRYvXo1DRo0iFq1aiXMtRERjk9KH3rooXJf86677iJvwWLFi9gSDGKQoK+/MMAiqlG7Wm1DhZJ5JZJ1KuhI+hFDIjwysmJLKOE+9F5BtRCiK0aIlbQ8xSgWFRKl3SfTQBxZYRjmUmDAgAFaWudihD0rXgK9PaTJ0/ygjbSH9IwY6duQQsk8qmOOHGZoRNt/eyXT3ipfth5zYC5WOLLCMAxT+WGx4iVkZMNmRYwXTKbOpIGMKiGWkRV7UR2jy5etxxyYp4HOZLFnhWEYprLDYsVLmE8Vto5uaKXDOakVJla0dcgzLg1ky7Ni3sXWqIooGVkxFytouw9OZ5/WOtoyDMMwlRMWK15CS8P4BYsBht6OrNhqSGcrDWSIZ6WcNJDR719GVszTQIjmoNcKvELe6B7MMAzDuA+LFS/hKLLhjXb35XlWZCrGiOiObApnNwVlcGM4GVmpEVRDuw+mZjnlmk22DMMwlRsWK5VBrHih14qjPitiHYINTAM5G1kxKMJhKw0EaocplVdssmUYhqncsFipwB4rlcpgq0Y3kDIpKC7wqsFWm7xswPsvLinWhihaN7uTFUGnsypoWirDMAzjFCxWvIQjsSDFiqEG20LHYgX9TZAaMaJ8uTyDrXk1kN6zidDozkQmh2JFNo1jGIZhKicsViqRZ+Vc3jkRCTACWz1ezDHv96J3OsrZNFBBSYHus4lkCqh6QHVNjEniQtmzwjAMczHAYqUSiBVU4viQDxWbiiktP83ryy8T4TFIrNhLA2E2kfST6G2ytVUJZO1ZYYMtwzBM5YbFipdwVI2DM/4awTUMNdk6I1Zk+bLe3hFZDWQvDWRkYzh75loQV02JrCRnK4MOGYZhLnXOnTtHtWrVomPHjjl83rXXXktz5szx2nqxWPESFdlB1pnlW6SjjPKs2ImsmLfcT8nVN7Ii00rhQWVnDsk0EAYoShMuwzDMpcysWbNo9OjR1KhRI+2+KVOm0NixYy2e99xzz9GMGTMoI0Pf1L09WKx4Cac7yBoUWSmvKZyRVUlaGshBZEWbj6SzWJMipFpAtTKPYX1kesgbJttfj/xKA74bQLM2ztLdSMwwDOMpubm59Nlnn9Edd9xhcf+mTZuoe/fuFve1b99eCJpvvvmGvAGLFS+LFUdTj72RBrLXFM7IdXAqsmJQ+XJWQZa4xmRnW0jfitFiBRGelza8JEzU8/fPp+XHlxu6PIZhvAdOPrCfq4iLycUTn5kzZ4qCCusLUjpLliwhf39/6tWrl3huYWEhBQYG0rp162jatGnieT169NBea8yYMfTtt9+SN7Asj2AqpM+KhWcjt2qlgcSPuJxqICM9K1mFWXYjKzIVtP/8fsNNtisTV1rMh/r58M80rNEwQ5fJMBcz2Hfgt4mTp7YxbSkqOIoqK/ht95hfehD3JhvHb3QYtbbmgQceoNtuu037+8UXX6TFixfT9ddfT6+99hp17dpVe8zPz4/Wrl0rBMr27dspNjaWgoNLj2GItiBtlJ+fT0FBQWQkLFYukTSQK2JFT8GUX5yvDQp09IMyyrOipYEC7YgVteW+0ZGV/878J64H1R9E/yT+Q5uSNlFhcSEF+AUYulyGuRjBScvjqx+nzcmbxd/+Pv50a/ytNLnj5DItCBjXqF69uriAF154QQiVVatWUb169YSptk4dpf8U8PX1pdOnT1N0dDR16NChzGvVrVtXCJWkpCRq2LAhGQl/6l7iYjLYQjDhrAYhP70qgcpbtlGRFSlW7KaBqnmnfHln6k5xfXXzq2lbyjZRor7n3B7qWKujoctlmIsNtBu4demtdDzjOAX4BogTisTMRPpk1yfidzqj74wyw2ArGuzbEOGoqGW7A4TKF198IYSKFBrwrJhHTsC2bdtsChUQEqIsOydHiZ4bCYsVL+Fsu3sj0kAQHs4YbKVYKSwpFB4LW71JPJlJ5GgHY+5ZQSRGr52RTAPZEyuyIsjIyAqiS8fSlTLANtFtqHNsZ/r7xN/irJHFCnMxgt/LkoQl4rs9ovEIahjeULd91TP/PiOESp2wOvTJsE+oQXgD+uPoHzRt7TT6/ejv1DSyKd3RztIAWtHgxM6VVExF84INoQJiYmIoLc2y1xfSP/bEyvnz58V1zZrK8ctIKpc8rcKUZ3C1jmro3b1Wtpx3JFbQnA1t9+V6eMtca97jpaikSOuNoqfB1p5nxRuRlVOZp8T2xzbA59wltou4f2vyVsOWyTBG8e+pf2nMojE0Z8scem/7e3Tloitpwf4Furz2+tPrhb8LEZW3Br0lhAoY1WQUPdvzWXH7vW3v0c6zSqSS0U+ogE6dOtHevXst7tu1a5eo/LHF7t27RfoIIsdoWKxUMs8KzlTQ98OIZYNgP/vVQEZ0sXXGXAuwc5IGOj1TQXJbllcNlJyTrHlr9AZniQBnnzgDi4+JF38fSDtgyPIYxijwXX545cNin4IoYfe47qLz9oyNM+iXw7949No4SXt3+7vi9g0tb6BWUa0sHkcK9fJGl1ORqYie+/c54fnSA0SSUVSAE6WqzksvvUTvvvsufffdd8IQC68JLvCdgOHDh9OePXssoislJSW0c+dO4V1JT1c6gkvWrFlDw4Z5p1CAxYqXKE+s4H559q+3yVamgIL8gsjP18/hc/U2+pY3xNDoPi/lRVbwfpFywo5K72Z4khOZJ8R1/er1xXWzyGbaaIELefpFkRjGSCAmIBKwL+sW143mjZhHnw77lG6LVypLXlj/Ah25cMTt1191chXtSt0l9oW3t7u9zOMQ+s/0fEac1BxJP0Jf7/va433T7E2z6bIFl9GA7weI61c3vWrhs6tqn9+rr75Kqamp1LNnT6pdu7Z2QaoHtGvXTlQDff/99xYCB+IGZlpUDkny8vLo559/pjvvvNMr689ipZL0WbEQCjpPX3amx0qZlvs6RTfKmwtktMm2PM8KKgukX8aoVNCJDEWsyLw+1qVutbri9qELhwxZJsPozZpTa2hrylZx0jOjzwxRyQYB8VDnh6hP3T4iQgEx484wVkQ1kVIC41qN0/aF1sBHN7XLVHH7wx0f0pmsM257bsb9MY6+3vu1to9AFParvV/RhMUTdJ9RVhnw8fERkRGIFuuLee+UZ599lt566y0RUQETJkygU6dOiee9/vrr2vPQPA7/D8LHG7BY8RJy6rEjwWCUydaZSiBJbGisriXEzswFkkjRoNeOAjtP+d7tiRVvDDS0jqyA5jWai+uDaQcNWSbD6M1nuz7TxIT0egFEJqf3mi6il6h6W3DAdf8KDOfoqYJ08a1tb3X43DFNx1DnWp3Fb/uVTa+4VW1057I76Wj6UbHPeW/we7R14lZxDZF0+MJhuu/v+7So8KXGyJEj6e677xYCxREBAQH0zjvveG29WKx4idxC10qHK0yshMXqOtzPWYOtEWkgmQIqzzNjdEXQycyT4lqaBUGLGi3E9aE0jqwwlZ/EjEQRVYEwmdhmYpnHUV78cJeHxe13t73r0j4MkZj3t78vbk9oPYEig8sOHbWOEEzrOY38fPyEyFlxYoVLJzCPrHqEjmUcE+uMVNZl9S4TnjlcfzXiK5FmgnBCVdKlOhbjoYceovr1S0+ubHHXXXdRy5YtvbZOLFa8AH6MBSUFzs/myan4yAoMp96aC2RUZEWKFbxvR42k5PRlI8QKdnby/chtC5pENBHXCekJui+TYfTm16O/iutetXtpv1Nrrml+DbWNbivSKm9secPp1/7z2J8imoHo581tb3bq/0Dsy+fO/G+m01GQ1ze/ThvPbBT7hHcHvWsRIZLRz7cGviX2FxiJ8dvR35x+H4yxsFjxYgqoogYJap6VciqBDBErhc5VAxkh1rRKoAD7KSCj00DoVyOFqkzzgUbhjSwqhRimsgI/yW9HftNSMPaAeX9aj2nkQz5iaKczpfkwtn+w4wNxe1LbSVrrBGe4t8O9wvuFk4x3tpWfjlh8dDF9s08Zujer3yxqGWU7KoDeR/d1vE/cfnnjy7pFmRnPYLHiBaRYwI8Y5rTyzK2GpYECnE8DQTC4Y5TzxGCrRVZ08suUN8TQG2kgGVWBMdD8s5dmWww2lF12GUYPpGlSL7Ykb6FTWaeEJ2VQg0EOn9uuZjtRYgxQzlxeOTBEEAR7ZFAk3dT6JpfWCyd+svcKhoNuTlJa89vicNphmr5+urh9Z7s7aXCDwQ5fG8IpPjpenPC8uOFFu9vzUk0TuYJe24jFihf9KjDXOmphb7TB1hnBEB0cLXLB6J1wPk/pTuit0mXzQYp6CKXy5gJ5ozGc/Cxl1EiCdZLvl6MrjF4HBVS39PuuH3X/pjvN2jhLlzJcREkABm86U1GI6iCIc5jHvzvwncN9A/wt4Pb4252KvlqDKiREexD9eXTVozZTyDjxenDFg8qwwdo9tKiJI5AGeqnvS8LLsvrkapGqMgcD/kBBgRI1ZewjW/HDkOsJ3G7fC5i3nPdmQzZ3PCsI5eIgijQQLuapC4+qgZwQSliuFEqIONjLjbuaBipXrKhpIIgzNOVzFP1yFZnSsvVeEF3BZw2zn2wUxzDu8vHOj7WmajLaAKPoR0M/ckpk2Nt3LDu2rNwUkDk1gmvQg50epP9t+J8QI8MbDbdZijx3z1wRRUUqZ1zrceQuSD3tPbdX+F7uWnYXfTj0Q21AKUqbJ/89WcwWwnJe6fdKub2mJGjrf2f7O4X59+X/XhZ+HWn+9ff3p9DQUDp79qw4CGPgH1NWPEOopKSkUGRkpCbwKqVY+eCDD8QFkxxB27Zt6bnnnqMRI0Zobwatfz/++GPRMQ812++99554XlX0rJQrVlRhgIgAzjr0mjXhzFwg61SQECvZyR4fRF0x2GIngoM6Ihy4eCpWtDRQOZ4V5MmxbbBjxns2r9oxKrIifSsIsXNkhfGUA+cPiL4jAFU5aDz45OonRQUPDrTTeyspEFdBtQ1+w/Wq1RPlws4Cs+1Ph34SwzqfWvMUfTDkAwuTO6Iun+76VFtfT04QsG95e9DbNOnPSaJZ3DW/XqMJK3TVxUkLfn+YMyRT7c5yR/wdQqxBCL26+VUxRBEgQo5magkJCXT8OPvOHAGhEheniMdKK1YwM+Dll1+mZs2Ujp1z586lK6+8UkxxhCCZPXs2zZkzh7788ktq0aKF6JQ3dOhQOnDggDbCuirgbGQDB1VEILBzQDizUUQjrxtszU22STlJXjXYyiiHFCsdatoenqV3ZAU7HpyJoTIHy9VTrMiwtL3ICjiezjs7xjPe3va2aEM/tOFQraPsnIFzRKRh4aGF4n6kTFzl18NKCggHf1emsOPE48U+L4oGaxvObKCZG2eKCAjuRzRx6sqpwnjer24/GtbQ83btqOKZe/lckQqCQJq3b572GCqUXh/wutaI0RXQ+O75Xs/TzUtuFumwK5pcQb3q9BKPBQYGUvPmzTkV5ABEnTyNqHhFrIwePdri7xkzZohIy4YNG6hNmzb05ptv0rRp0+jqq6/WxExsbCzNnz9fNKW5lHqsAOwMENXAQRNCQW+x4ozBVu+KIFcMtnr3eXE2siJFkhQreiLTQLbSabIiCGkghnEXmEfhq4CBH34RSc/aPYVpFQduNE9bWHuh8GA4CwznEBrgiqZXuLxeKC+e1XcWTVk5hX44+IOYhYXoDCYoI+KIqcoQNK6IIEfUq16P5o2cR/+c+If+S/pPbA94VGAK9mSKO6qD0AgPaTWMFPj5yp+1fTnSP8HB7qXYGNfwWqKtuLiYFixYQNnZ2dSrVy8RPsMAJfMhSBis1L9/f1q3bh1VJVzxjMjKFD3L5VxZvlgHNd+rR78T6VlxJbIC9BAN5bXat/We9a4IkmkgWzn7hhFqZCXjOFcVMG7z46EfxTUqXGS0TjK542TR5AxC/PsDpfNenOH3o7+LaeEQGObdl11hcMPB9Oplr4qoLiYlf7nnS/GbgFBHWsZeW313QaoJRmDMEELjuCENh3gkVCQPdn5Q7CNQFfX21rddji4jHfXShpfombXP0Be7vzCsAWVVxnCDLcZLQ5xg6FG1atXE4CNEVaQgQSTFHPztKAeI6ZByQiTIyMigquJZMY8s6PlldlWsyJSFHoJJpoFcFUruzvxwpxrIfLl670TS8pTppXKitDn1q9UXO1JEn7AD99Sjw1x6oDT4zwSlUuWq5leVeRxCHdUvMLuin8nopqOd6mUCP6HsrXJlsys9WsfLG19OnWM706LDi8TvC9OakU5x1/RbEeBkC2XSaMOPSFWnWp2EKCrvs0FfFxif0W/JHAgeDGtErxhnDb+XOoZHVtCOFxMdkfq599576ZZbbqG9e/dqj1uHAPEjcRQWnDVrFkVERGiX8loCVwZcGSQoD5p6NWVzpRrJyDRQRURWNLFiZ+KyUcu1JVZQIWErHy7z6GyyZdwB6Q5UzqFPifRSWIO+J+iYjJk4n+/63KnX3Z26W8zOQURED08JhPhd7e+i53o9R9e2uPaiEioStOO/uY3SNRet+GGOd7T9MCjxtc2vCaECgzK8RPd3vJ+6xHYR/qKPdn4kPDaoQGQqgViBCQkGW4ydhtDo0KGDmOgo3cFIBZmDMifraIs5Tz31lJgcKS+JiYlUFdNAukZWnPTM2PKNeNLQB71S5Ht3VazoIZScbQpnVGSlsLhQM/lGBZWNrAAZtue2+4w7oCsrgKCw50dBamRK5yniNqICznzH4TEBSKM4E5m8VEDlUp86fcR+7d6/7qWlx5Za7CNxcoJ0z/g/xouycUSxXuz9Iv1+1e/i/97d4W768vIv6eV+L4vP668TfwnBokdfqaqO14vD8cEijdO4cWMhWJYvX649hgY7q1atot69e9v9//C1hIeHW1wqO66kQjShoGNkxeU0UIiSjoBb/0L+BY+XC5wtw5aiAT1PZMm1p54VVyMrenVclNsOqZ7wINvfU2myPZGhTGZmGGfBAW7lyZVaqsURA+oPEN4TnMXLoYH2QCRgScIScfv6ltfzB2Il/N4c+KaorML+DUIDERQ04Ht4xcM05IchohEevD6jmoyiX8f+KtJz1qkePIZy7kDfQFqZuNKlWUqXKoaKlaeffprWrFkj+qzAu4LKn5UrV9JNN90kUj1TpkyhmTNnCh/L7t27adKkSaLRzvjx46kq4YpnxZDIiotiBekJdLL11GQrzbX+Pv7iR+kMsueJHttApoGciazI1Be2lXV+2V1kB2CE6O2Z/GSZ9PFM75QvX8i7QLvO7iq3DTpT+dl9brdI7eD7DQ+FI7C/ndp1qrj9y5FfRAWRPeBVwT4LvVo61uyo+3pf7CCF9c7Ad0TbfkRHUCqNSiFESXCCB0/OZ8M+E9ETR31dUKn0vz7/E7fn7p0rqpiYCjLYJicn08SJE+nMmTPCX9K+fXv6888/RS8V8Pjjj1Nubi5NnjxZawq3bNmyKtVjxVXPioys4ICpV2M4KZacLR+W64FcOCIN9gZ+lUd2kdq9NiDU6fJE0WwprLbIl3tavu2KWMFnAxMsBAZEEtqFe0pavupXCSrrV5E0rN7Qa5GVk5knRXga69UtrpvobOpKKStTuVhzco247l2nt8Op4hL0LUK/FUwTfn3L6/T+4PfL/C6RukRnWXBDyxt0KyuuauCEDhVC41uPpxWJK+hU5ikRPe0e1130dXF2u41sMlJ034VYeW7dc0LoyOgy48XIymeffSaiKkj7wIvy119/aUIF4AOdPn26EDOoFkIKKD6+6rUdd2U2Dw6s0t+hVyrI1cgKQA8EcDrrtFfmAuldEVRQXKBNO3Y2564tVyeTrSNzrXVkBe3Ajc5bo3GYFFCbkjbRz4d+NnR5TCmYXaP30Lu1p9aK6751+zr9f9AGH8IG//e3o0q1j3UZNL7/6Phqq7qIsQSl19e1uI6mdJkiDLTo+O2qwENvHIgURMmmrZ0mvitMWXiggRdw1eCqdyrI1eWbD/fTQ6yE+bs2oEz6Rzx5/+aTjJ1dvt4VQc6IFSwT0Y3CkkJdOgY7MhvjjBqMbTZWXH+7/1vDlscowHeFA1CXeV1oyI9DtDk7noIusEg/uCpWEKmUg/zgszCvQoOh/p2t74jbmImj54wsxnGUZvZls8X+GdVdGEbJlIXFSiXzrOhtssXZuowwuCJWZEnt6ezTXmsIV6Yyx4ODtzTXYtnO9jHQPbLiRBoI6yYbbhnZdh9llvCpYFmPdXtMnF1j3snRC0cNW+alDiIpz697XrRpx7aH/+uRVY9o/Us8Yd1ppU9V66jWLjdWm9R2kkgJ4TeCdvzbU7aLNCQG/qF6LT46nq5vwcZab4KqwMe7PS5uv7X1LTHribGExUol86zoXUZrXpHjSm8DLcrgQSpGelacbfOvZxpIRlacaYClZ+rL1ciKt0y2OGMDyKljm2CCLFh6fKlhy7zUQaplccJiYTBHBQk8IAAN2jztq7P2pOspIOuKFhwgcTIycclEGvXzKDFcEMJndv/Z3KisAsDwR1RtIcr65Jonuf+KFSxWvICrnhE9m7LJZWNOhith3TrV6ngcWfE0DeRJhENW9DhjrpXUra5Ek2CW07MaqDyx4g2TLTwqUqzI/hng31P/GrbMSz2q8t7298RtzOdBK/ynuj8ltj9+k2gW5km09N/T/2qNytwBomTeiHmihFaarHvE9aAvhn/hdmt9xjOEh7PXdGH0R9TT1bb+VR0WK17A3dk8ekZWsGxXjF9SrOCAax6dMXLisnUKCnM43DWbudK9VoIuk+Bk1kkyutW+zciKh2fb9kBvDZw1A7Q9l2WTYE/qHu1zYvQDHUzhKUEH2Fvjb9VSfphX4+fjJ3prbE3e6tZr70rdJcQ4ImQwdLpLZHCkKK9dN24dbRy/kT4d/qluw1MZ90Cpsyxn/mrvV9ogSYbFSuUUKzoabN2pBALYEcoDvbvpGPPSZVeAWMMOHeFQd/u8yO61rqSBMLVVNnMzN+h62hQOfVYcIbvYnsg0JrKC7rjFpmKxLWTUDoIQaS+0/d6Wss2Q5V7KwKciB/mZ99pA23u0v5feBHfAhGWATqrOlCyXB9LDerRIYPQB0TJUGAGYs9EbiWGxUik9K1oKJuu0x+WO7ooVi4ogN1NB0mDr6o4QO2AZXUJ0xegeKxJEgGQUxN3l2koDlRdZkWIF6ScINL05lHZIXKPJl3l0Db1WzFNEjI7DBY8pwwXHNBlT5vF7OtwjUi9bU7YKc6u7Jcv96vXTYW2ZysijXR8V+wWcrD204iH2r7BYqXx9VsxFAoYAovZej2W7anIFdcPqemQ4ddezYp6ScVc0uONZsUhBeehbQfpKfnbleVYw5A3pAkQ59DL3moP8N2heo7nF/bLrKVIWjH7sOLtDRNXQWLB7bcUjZP15Y+ow+HLPly69Ng5e+87vEx40NINjqiY4wXtzwJtUPaC6ELXT1k675LtOs2fFYHCmLFubOxvdgBFWzufx9Axfl8iKh2LFnRCzTMmg66q3Iit6+lYy8jNE6qW80mWAVvz1w+sb5lvRxEqkpViRfge0bedGVPqx6uQqcd2vbj+7aRqUDwO0WD+Wfszp15aGaHx2jlq5Mxc/zWo0ozcGviG+Q0uPLaUpK6Zo0epLERYrBmM+jM+lDrJqKqgixYpWyutuGkj1rLhqsLU22bqDnHbsslhRRRI6ynrC+XwlBQTfD5o+lYeRFUGyl0qTyCYW9zeNbCq+F9gBunLAZJxrg9+/Xn+7z8FnMaDeADHwDq3WnWXNqTWaEGKqPjDCv97/dXECCxF81S9XiSGTGIsggVXgbM5ZYdp+d9u7dN/f99G438eJ0RqPr3qcFh1epHn4LmYMnQ3ElIoFnD27MocFYmX72e0epwU8Eitm3hlvelbMxYqnkRVXDLYWER0PIyvSFFdeCsjoiiBETGRzPRk1kuCMDU3FEGZGhYm1mKmK4DuJyij4d1wVss5wLvecFsnqWbunw+dOip8kpib/evhX0VW2vOZu+C2zX+XSY1CDQfTpsE9F7xWcvD2++nFhKUDlli/5ivtkA0pr8LtecmyJKJW/t8O9dGPLGy/aHjocWTEYd0uHPY0s2Fq+u2LF3WogLQ3kwgBFvUSDVrrs5FygMl4ZDz0rzjaEM7oiCGdcSEOiuqpmaM0yj7eLaaft1LwFvtMQDHrPyimPnWd30uULL6ebl9xMw38cTutOKV1g9WRz8mZx3aJGC1Ea7IjOtTqLTrLoMD1v7zynqoDwe8a+AcPymEuHjrU60k9jfhKCA3Ob4GfEAESkcCFU4GGCAB/TdIzo5/PuoHeF52Vyh8li3wL/3Mv/vSy6FMt908UGR1YMxl2xoEdTNvPluyMYZHO2s7lnxWDAQL9Al/4/flCepoFwsEWfEFfnlLjrWdEaw6k9XhAR8yQNFBXkuBLIWqzoHVmRjfVQsmzLPxFfM96rYmX+vvlip4n0x8jGI2lWv1lub2NXhfMTq58QxldsB6QJ0fr+xzE/at81PZCVVbLSyhE4ebk9/nZ6cMWD9N2B7+j2drc7/L7+maBUGF3e6HKehnwJEhoQSpM7Tqa72t8l9hNIGeM7hJOQphFNbVabonQec55+OvQTvbrpVTGm4dY/b6VPhn1i8+SlMsORFS95VlDtURFVKZ5EVlByi/+HA4s7ER53ZwNZL9udNJS7YkUc1H38PerxAuTZS3ln19ZiBeICwlAv5LaTZmlrMAcGINKh53Lt9XuZvWm2+EwBWtEjn+4Nvtn3jYjSoST+n+v+0WbjzNgwQ9flbE5SIivdYssXK6B//f7ijBjrAsFiD3gOpF9lROMROq0tczHi7+sv/GYDGwwU7fkRZXPUFgPPv77l9TR/1HxRiXYk/QhN+nOSGFx5McFixWBkdMHV0mHzQYKehMtd7fFiDlS7bL3tjuHUkzQQlu1JKkzzrAS45lnBD1se2N31y7iTBooOjhbbCdEcT5ZrjYzMSbO0NdjG8PUgVXTogtKPxSjQkRMVUmh6hT4SsjGa0R100Z7+h4M/iNsPdHpAfCYz+s4QqTEIAHd6ndjzq+BAALrEdnHq/yCqdFv8beL23D1ztZJ7a34/+ruIMKKpHFJMDOMqaF3w5eVfit880s1ICV1MxlsWKwbjbmQDZ4DIQ+L/2zNPuRLZcSeyAtwVKzjoSqHmbndMd/0jOPDKZbtjopTL9aQiSH5mzqaBIM6MSAVJv5G9yAqW2ya6jbiNHLhRIFK1/PhycXtC6wk0vtV4sdNE4zyUZRoJQt+IWKHvybCGw8R92NZjm40Vtz/b9Zluk62d9auYg0gJwvhIUX2y8xObv6X5++eL2xiG6Ir3jWGs9+cw6+LkCNHUqSunGtKI0ghYrFRSsQJ/iMwpelIRpEV23BQrDao3cOvAbT5PyJ00kLl/xFWTrfnZgqsGW/PKHI/EiouRFfPl6mmyLS+yArwhVjae2ShMfkjvwc+Bcm7ZUlxGPYzin8R/NK+HeYTxlra3iOvVp1br0ozPFb+KdTRvatepWrpKlppLUKqKFBrK4K9sdqXH68lc2tSrXo/eG/KeOCasP7OeXlj3gtfN7u7AYsVgtMiGnxsdZHWoCPLEs+JJ3xHpV0GY21W/jqdRHZkCQlrFndkpMsJxLOOYd8WKKgy9GVnxlliRJbeYPiw/E0Q2kIqBuTcxw7O+NvbATnh1ojJLB/l9cxpHNBZ9LBC5+PHgjx4va0vKFpdSQOagb0rfun3FWe4Ta57QUmMogX9z65viNtJF7gp/hjEHPpfX+r8m9s+/HPmFPt31KVV2WKwYjCdioTKIFe1s38VmZVqPFf9Qt8PW7h68Mwoz3I6qAD3SMXIuUHnda82RE2/1agyHA7UrkRXMEDJvNqUnMkUipz0DdGDtGtfVIvqhN/vP76eU3BTx/bcV8UDfCbDw0EKPwuGIGskZTChJdhX8Rl7o/YL4vmCd71x+p5gvhAZfGGiK1OSENhPcXj+GsQbesae7Py1uv73tbVp8dDFVZlisGIwns3m0LraZFSdWZHQDgglGRVdTMZ403moUXnrwdqUdvLsN4TxdrrlIkBOX3YqsZOoTWcEBVH7+jiIrOBBiW+FgbYTJFqbRA+cP2Iw6DKo/SFz/feJvMgI5URrLtVX+jmocpKYgLjec3uDxcvDdcbcNPio13hv8nkj3oCfMY6seo52pO0U05a1Bb7n9G2YYe9zQ6ga6pY2SDn3m32doa/JWqqywWDEYT8SCJ5U4esznAXGhcSJsjwNZck6y4aXD5uAAi2WjaRbOLr21bIhElC/nFee5Vb4MnxAqN5yZuGwrooP3au75cRcZVYGZzlGfGpzVt45ubVgqCNU2KFfGgdy6Syu6c8rnpOam6r5sOaSxfUx7m4+jqzS8LLLixl3kTt6dFJA57Wq2o+9Hf0+jm4wWRt2hDYfSD6N/4AogxjDgl0J6Fvt4THg2YuSHHrBYqaR9VszPtD0xXHoy+RigNbM71TEyFeOJWIFQkYLNFf+Ip1EdLFd6ddzxrZzPPa8JVFdEIqIwkUFKFYkes3qkX0VG6BxhpG8FaQ3zwYnWVW/o9QIxgw6teiOb3dlatkROQMZQQXcHxUm/SudY11NA1uA7P7PfTFo4ZiHNGTBH+w0wjBHAt4LmjPgdIiJ8x7I7PJ6NZgQsVipxZEX6RTxpFIZmU8ATY548cLsimvSIrLjrH5G9KvRIQR1Pdz0lcy7vnMtRFQn6aICj6ZYVIZ5EVmQn4ooSK9rU5xqWU58lfev1FdfrT6/XdblIg0mx6Uis4DF8zxBJg2Bx5ze+N3Wv234VhqloQvxD6J3B74j9Ho43aBpnXZVW0bBYMRhPSofNG4W5Y7KFd0KLrHggVtwpX/bUN1JGNLggVnCQ8nTZnlQESXOtO2IFnSnBkQtKczFPkOW4zkRW2kYps2bQe0HvvgtSrKBTqy161e4lrjec2eCWR8gee87tEdeITDjyDiENNqrJKLdTQfCXFJmKRPdjPVv3M4w3iQmJoS8u/0KcMCH9Pe6PcVpvpMoAixVvlS67YbDFTtTdahwArwd2op6KFc0740J5qUzFwCzoCe6IBs3c6kIlTpnlRrhfEaSHWNEjsiLnAjkTWUH0DJEoCBU9hJIErydTWvK92fJp4PuJz23f+X26LXvX2fJTQJIrGl+hCSbMo3LHr4IUEDdsY6qCYOka21WcaKNp3OOrHq8UaSEWKwajtbv3sNeIO74V8/y7uwZbd5uV6ZGKsUgDuZCOkWIFHUu9GdExb7sO3KkKQe+PioisiE62UfqngiBwIVgQIbQnmmBylWXFeqaCpLlWTpZ2RP3w+mJeECI7mFnkVn+VWp6ZaxmmMhAVHCUGHd7a9lbhZ1lybAmN+mkUvbj+xQpdLxYrBuPJ1GMLk60bkZXsgtJeJ55MtjVfB2fD9Hp5VqRogP/CWd+OO2XD9t4z0m+u9h7xKLISoUQfcCbjac8TVyIrRvlWZAoIURVH30GZCtJLrCAFKs21zogVc6OtK6kgVH3tSNmhSyUQw1QW/NWuygtGLaA+dfsIAzzSnBUJixWD8bTPiYwsuBVZKXJ/6rF1igBfXhgQnS0h1suzgrCkqwP+ZPdYTyIr6HmBzwyD9xKzEr0mVrBcpM6wXE+a0sGrJEWbM5EVo8SKjBDZSwFJetXppfUr0aNsG0INRmeUoLeKauXU/0EJM6I8qF6SFUzOpIDwu6gVUqvc98gwFxuto1vTh0M+pEVXLqIbWykNFCsKFiveiqy4mYbR0kAZ7qeBPBUrECoNqzd0yUshq5A8jayYD/hz1rciDbaeeFawXJmSSbiQ4DWxguU2iVQqguQEX0+iKtUDqjv9GUixggZueplsZZM5e+Za8wgaIkBYrux26wkyqtIiqoXTE8cxfFC25P/l8C9OD0mUYov9KkxVpWlkU49O/vSAxYrByGocT9vdIw3ialpAa3nvgV9FIg+gzpazyciKuy3vbbWhxzA3Z8L/cuKxJ2kg8wOsq11dpVhxt5OpVr7sQemg9Ks46lxrSxhD3MCYrVfZooyslCdWcKCX0RUpAPQw1zqbApLISczwrTgj2OTMI4TKGYYxDhYrXipddtezUjOkphA67pQvS7HiaUWOuXckISPBqwZb8wOd9D+U956LSpQKKE/PBORyXTW7SoOtO5EVc9+KJxVBMrLiaCaQ0Z1s4TGSqazyxIrevhVnmsHZoned3qJlAARneU3qUN6J76QP+WjrzjCMMbBYMRAIDE9Kl+UBxN2KoMoQWQkP8Myz4qpYkT4NVF95OktFehCcWa4EQkmug7tiRW5rV5arR2TFPBUke5R4AtJ28N4gWgMvTnlgyCEO/HjfrpYPW38GsgTaXpt9RynPMc3GiNsL9i9w+FzZQA6CCCkkhmGMg8WKgUCowEXtSWTFk+nDenlWgPRvOOMbwcFCenX0iKw0j2yuCSUZNTGybNl6uegT4mwKDsvHZ46Drmyd78ly3e1c7My0ZUdiZd+5fbqaa53xcyBtJyM76HfiyXLx/cP3XqYQXQGTmFG5hHWQk5RtsfTYUnE9rOEwt9eVYRjnYLHihRQQDlzOmvwcCQVX0wJ6poEahyvrgPD4hTxFEJQnGPC+9fCs1K1eV0RJ4KUorzmRrATy1K8i59bggIfGes4KRelXwfJxlu7uciHysFx3U0FyLpC7kZUDaQfKFYblIQ/0zWqUnwLSMxWkpYCi490q2Uf1FAa7gXn75tl8DqripBF4eKPhbq8rwzDOwWLFQHIL1YZw/sEe9TnRxIqLpkc900B4Ddmvo7wDqHnpsLsHbHOw7aSPo7zUiJ6RFUQDtOWmH/aKX0Uut2WNllpljjcjK0g5Qtyif4injemcNdeaI022iGrALO0OWn+Vmq6Za82Z2GaiuP718K82h0r+cPAHEUFDbxVXBSHDMK7DYqUSm2utPQzOVMPYTAO5OXHZGq2Ut5z10DO6IZFn54fTHIuG1NxUrT+LN5drK7LiCS2jVLGS5rpYQcpKej5cPZBCGOplspWl1670H+lUq5PwG53NPeu2Z8ddc631elxW7zIR3Xp729tlKvx+PPijuD2u1Ti3l8EwjPOwWKnEPVasUzAoyZVCwNueFVcmAp/PP+9xnxN3y4hxkJNVVHogIyvORhlQIaLH8mVk5eD5gy7/36ScJHHWH+QXJCpbXEWPtvvwa8neQK5EVgL9AqlLXBe3S5ghJORn5WrZsjVTOk8R4g3D3MynMX+++3MhSjG0cFCDQR4tg2EY52Cx4oUeK55GVsxTMK5EV2RjNr3EirNza4yIrEjTqSPDI5ARBb3EihZZcfIsX4qV2DDPWlOjmZmMrLiaDtH8KmG13WpUpkVWzrsvVvA9hWCCydhVwaT5Vs647ltBFROq8NAa3JkKJEc0r9GcJrZW0kHT1k6jFSdW0LJjy+jTXZ+K+x7p+ojoeMswjPGwWPFCGsjTElpXohq2ep2EB3lePgxa1FAOoAfTDlZYGgjl2/BTlBtZCa2pq0jCcp1pA5+ckyyuPZ2jgYgOzurhwZECyFW/irMzgeyZbBHVcddkK8UdoiquCibpW9mStMXlaihXhhc6w0OdHxITaCH8H1zxID2y6hFRjj26yWga0mCILstgGKZ8WKx4w7Oig8HVnYqgjPwMXebzWIsVCALpzXDo29AxDYRICUyzOGt2ZDTWO7IC7wsiA1hueSLNXKx4elYPU7ZsxOeqb8WVacu2wHgDROMw88bdaiTzAYbuCERsdywfs4K8ba41J8AvgD4Y8oHwpiBCCj/NTa1vohf6vMDt9RnGi7BY8UI1kKdpIIumbO5EVnQSKxBdskGdoyoVGVnxpCLGUYWMbPhlDdIlMrLiqVgwX65MizjTe0RLA+kwoVTzrTghksyRAx8xgNIdENGRw//c9a24Uwlkvs371FHa169MXOn0/8PnLycg6xVZkcLx6R5P07px62jD+A30ZPcnOf3DMF6GxcpFElmRaSBnh+phxy3Fip4DqJw5gOo1m8eatjFtLUL9tgzFMlWjVzUQaB3V2qFIkhSXFFNqTqpuYkn6VpydACw5meWZWNFjArN5GsgdBtYfKK5XJK5w2rODcRQpuSli0rInlUD28PP1ExeGYaqYWJk1axZ169aNqlevTrVq1aKxY8fSgQOWZ+TYEU2fPp3q1KlDISEhNGDAANqzx/NW31XNsyKrUuBHkMZdR+CgLf0GekVWLIyfTkRW9BYraPLlSKzgQAXQJ0QPgehqV1ekv1DqisiEHmKpbbRjcVZeZKV+tfpeXzbA91POsXJXrMC3gmomvI6zgyRlygiflx6/OYZhLhGxsmrVKrrvvvtow4YNtHz5cioqKqJhw4ZRdrZSUgtmz55Nc+bMoXfffZc2bdpEcXFxNHToUMrMVGbLXMzoVQ0EMHtEplWcGSYooypoyqbnjltrVpbm3TSQeWQFBy9bJlvpV9EzqmIuVrBcR4ZPmQKKCY7RpRkeogPoAowDtmw254xIlakwTyIrHWt11ASaM+LYVgoIXh93Z+ZAbPas3VPcRhWOK2IFPVIYhqlaGCpW/vzzT5o0aRK1bduWOnToQF988QWdOHGCtmzZokVV3nzzTZo2bRpdffXVFB8fT3PnzqWcnByaP38+VTRoriUP+u4gUxLuDjG0V5niTO+N9Px0cR0RGKGrEVA2K4N3xtaBG9tMGmz1Fg3oxgrTLiJGtraBPJtH/ws9QVUNUmlYrqOzfFmF42nZsgQt96Wx2tkIhzTXYnigJxE1bGu0/UekaGfqTvdSQC602S8vFeSSWIllscIwVQ2velbS05UDaFSUGiFISKCkpCQRbZEEBQVR//79ad062w2h8vPzKSMjw+JiBPP2zqMu87rQK/+9UuEdbK1TMM4YLvUuWzY/iKF3Bg7ctlJBqIZBf41A30DdIysQXZpv5VzZg7ec3yNNwHouVzZK233WvmiQc4v0XL70XsgqF1fMtZ6IVPxftJIHcgaOs8jvpxTX7tK/fn8RWULvFNk7xpE4lyKpY00lKsQwTNXBa2IFUZSpU6dS3759RQQFQKiA2FjLM1H8LR+z5YOJiIjQLvXr63tgksBvgYOuPFt3Bxk+1ysN40wKxqiyZfODmKy0sHXGfSa7dICeJ/OQyjt47zy7065YQOmt3nSo1UFcbztrv5RWdmzVU6y0j2nvmljRwVwr8VSsyFJ3d0FkrnNsZ3H7j4Q/HD5XNpCDtys6xPWuvQzDVG68Jlbuv/9+2rlzJ3377bdlHrM+A4SwsXdW+NRTT4kIjbwkJjqewusuMpUgw+oeeVZ0Mntq82LOl9/V1IhKIInsYWFLMGAaLUAKwQg611IOXpuTN5fZBjKy0iC8ge7LlT6I7Snbyze26ihW5LaGWHGmKkYKtnrV9BMr+Jydbc6GdZRiWn5fPWFM0zHi+rcjvzl8//+e+ldc963b1+NlMgxziYqVBx54gH799VdasWIF1atXuhOFmRZYR1FSUlLKRFvM00Th4eEWFyOQZ6ZIaxSWFLr1GpmFmZp/QA9QvoyyTAgR2XysPM+K3pEV0CGmg12xokVW3OyeWu6ya3YQ2wCiyDzqhQOZPFA3qN7AkOUiUiTKY+10lNWWr6NYQst3VMVkFmRqYszIHivWM6mQyoOZ2dkSZnwv8d3z8/FzqyGcNUMbDhXvHx4pe+3/0bBPipU+dZX+LAzDVC0MFSs4gCCi8tNPP9E///xDjRsrZkEJ/oZgQaWQpKCgQFQR9e7dmyoSVDJgJ4kdYVKW7ZSUs4MEqwVW02WdMOStcWRjp3pv6N0Qzpz4mvFaysG6k62MRBklVhClkr6VTUmbtPtRAQNDMwSF3gZbgI6uMq1hq6sqjMUYIKh3ZAWzZ2SfF2dSQVLQ6BFZQXTTPJLlDNLHBGMwfj96mIwH1VeGBf5w4Aebz9lxdof4/PEZybQRwzBVC0PFCsqW582bJyp70GsFERRccnNztZ3hlClTaObMmfTzzz/T7t27RfVQaGgojR8/nioSrJtsVy59AK6Cs2HZ90MvNN+Kgz4nRhpsxWsGhmtVKrvO7rKZBjJKrIAetXuI639PK2fT4HDaYe0gjRbpRiCNm7bESmJWohC28Ce5M+m4vKiOM94RpGpkdEd2PPaUrnFdxfWG0xucer5MAXnqVzFnXOtx4vrXI79Saq7SdM+cP44qfpbBDQbrIpAYhrnExMoHH3wgfCVo9Fa7dm3t8t1332nPefzxx4VgmTx5MnXt2pVOnTpFy5YtE+KmovHUt5JVkKWdHeqFsyZb2ZdD74ocaw+HeXQDyNQMDLZGMaDeAHG99tRaEdEAMkUge6IYgfRw/Jf0X5nHZCk1KmD0LBUH3eK62dzWtqIqGLIHcaxHu39zD8iWlC1O9VuRIloPv4r5dw1CEelYVOmZg3X689if4vaoxqN0WybDMJdYGsjWBdETCXbs6GB75swZysvLEykgWS1UWcSKOxVBOMstKFFMiQhP64Wz5cva9GGdBvpZIxt2bTizweaZvRzCZwRIA6FSBGm2jUkbxX1yJozsvGrUe0Yp7aG0Q5ScbekZkq345UwdPUFqA+ktTH6WkStHzdjgFdFLMMH/g2gVStVtiTRrpLelVQ19t8Ot8beK6/n751ucPCw8tFB4ZJB6kxE3hmGqHjwbyAHSe+CMsdEajJSXGJEGQpms9MTYQobL9W7MJuke112L8MgozrGMY+LMHoZivc7sbYED95AGQ8TthQcXijPuTclK1KF7bWW9jADdWKUYWnfasg+QbMUvhx7qCSJzss+Lo+jKkfRSsaIXYqigalpFJMsR+B7IlKn0NekFGsTBPwNf0nP/Pic+cwjGj3Z+JB6/Lf42ntvDMFUYFisOkL4MZ9rb20sBoSGcnsPP0EMCfhD0gNmTanuGEqJXRosVrIeMIqw+udrC9IsKFr1TIdbc0PIGcf1P4j/0zd5vhHDDezUismGOPHCbd1XF9paRFWmG1ZtutZVUkKPohvTtyKGXeiFTQRArjsqHZXUYep0Y0d/nuV7PCU8QomkTF0+kO5ffKaIqSP1d2fRKXZfHMEzlgsWKA+RO/3j6cTFR152yZb0qgcxx1JRNRnXk7ByjxIosKwXSMyBTMe1rKo3MjASt3HvX6S1Mra9veV3cN7bZWEMa0dl6zzhwSxMzUl8X8i+IeUCetpi3R484JcWx7tQ68Z5tgU6vRvh2EEUL9gsW6VB75cOyKse8gZ7eIGI0Z8AcIVjwXhPSE8T3e/Zlsw0zVTMMUzlgseIARDBQXQDviasmW81cq1OPFXOkGLCuxLH2q2DZwf7BZBSXN7pcXG88s1EMEZSpETkEz2ie7vG0ZiBGyk76GowEVS6IHCANsfyYUnKvve+aHQ2rRkFVDqJ0mCxtq+cJImnocQNPjd5iBeXil9W7TNxemrDU7vNkebOsXjICRHl+HfsrPdDpAXqkyyO0cMxCQzoWMwxTuWCx4gCkb+SO0NVUkPSshAXqZ661bjlvb7hdao6SAjK67Tian6FSAz6Vu5bfJfwKOFj3qt2LvAE+m1+u/IU+GvIR/TD6B0N6ythKR4xppnRVnbt3roi4LT2mHMD71etn2HKxXWU65p8T/9hPwUQ21dXQLbm8sSJM8V5tpYKQjpF9YIz+/NEd+a72d9Gk+EmGVbsxDFO5YLHiZCoIIefKElnBmTM6hOIs21Z1iPSr1Aw1phLInHva3yOu5RC5K5pcodt4AWdNr73r9jbkAG2P61tcL0yv+E48tfYpEVFA+mlEoxGGLndQg0F2xYoUCkal4PrV7SfSL5gsvf1s2ZEDiK4hPYXfi5Fl6wzDXJqwWHHSZIt23+5EVozwrOCgAROrvZb3Mg0UE2ycX0UCoTC542QxZRlD9xCer+rgM72r3V3i9pKEJeJ6dJPRhh+kEbnBqAFU/UgzrUS2m5f9b/QG6cRhDZXp6N8f+L7M4ysTV4pr+IgYhmH0hsWKsxVBLkZWjOhe60xTNiDnBtUKrUXe4N4O99LGmzbSvJHzLpmJtze3vVl4ZJCGQFntk92fNHyZSHPJVBP6i0gQXUM1EvwqiIAYxY2tbtRSQfAoSVCJ9deJv8Tt4Y2GG7Z8hmEuXVisOClW0HDLmam3ZeYCGSRWZHWIrVJWbfKuDsPsnAWVMEaXK1cmkPaZ2mUqrbphFb096G1DImi2uL7l9eL6lyO/aKlGGdVACshIsQivlOwkK/ubyHb36H+CRoBGmmsZhrl0YbGi46Rjm5EVgw5iqA7BmTTSU+ZnuXpP3mUqF0izQBTg+/XZ7s+ET+T7g99blFUbyYOdHxTXPx78kbYmbxXt7j/c8aG477oW111SgpVhGO/BYsWJScdyKFx5k46tqyNAZFAkGUFEUITWAM08uoKDlxQrek7/ZSpPROfhLg+L21/u+ZIeXfWoaP+PCB76zBgN5hSNbDxSVIA9tOIhunXprcIjhZb8Mk3EMAyjNyxWnECKAtml1BnS8tO0ahWjkLNQUIkhQeOuvOI8YXiVs42YqgU8Muhxg3k9y48rvV4gYCBgvcHzvZ6n+Oh40QgPPV9g+J7Rd4YQ9gzDMEbgb8irVkGxgvH0cqKsM1zIuyCuawTVMGy90M8CZ9erTq4S/T7QF0ZruR7ZRPhImKoHUi0z+80Uk43Ra2dwg8E0uulory0fpelfjviSFh9dTOfyztHwhsOpfjhH8RiGMQ4+mrkQWXElDaRFVgxKA8l5MagQOZ93nralbBM+FtlyHZ1WmapLgG8A3dHujgpbPprUXdX8qgpbPsMwlxacBnICnMHKFIucB+MI+EakZ6VGcA1DD1hICYDFCYvFNUSLN1veMwzDMIzRsFhxAkQvpP9j/7nyoyuo1IAB0ejICriymTJt9rcjv9HxjOO0NWWr+LtrbFdDl8swDMMw3oLFipO0jW7rcNKxOWl5SgoIFRpGmw4hSrBuMNVeuehKYbpsFtlM6w/DMAzDMBc7LFacRM5csdXe3hpUSXgjqiLNlg92UnpfyGjOpLaTDF8uwzAMw3gLNtg6iezMCbGCTraOml/JyIqRfhXr+Tyv9HuFfj78M/Wp04fGNFWmAjMMwzBMVYDFipO0jm4tSoFRqgmjraPusN6MrEhGNhkpLgzDMAxT1eA0kAulmq2jWjuVCpJly96KrDAMwzBMVYbFihu+lR1ndzh8XmpuquEN4RiGYRjmUoHFigvI3iWbkzc7fF5SdpK4jguL8+SzYRiGYRiGxYprdIvtJq4Pph3UTLS2SM5WpjPXDqvNXzKGYRiG8RCOrLhAdEi06GFSXnTlTPYZcc2RFYZhGIbxHBYrLtItTomu/HfmP5uPFxYXap4VFisMwzAM4zksVlyke1x3cb0paZPNx1NyU8hEJgr0DaSo4CjPPyGGYRiGucRhseJGe3sf8qEj6Uc0I605Z7JKU0COGscxDMMwDOMcLFZcJDI4UqsKWpW4qszjSTlcCcQwDMMwesJixQ361+svrlecXFHmscSMRHEtpzQzDMMwDOMZLFbcYED9AZrJNqcwx+IxpIdAk4gmHn40DMMwDMMAFituACFSr1o9KiwppLWn1lo8duSCKlYiWawwDMMwjB6wWHEDGGeHNRombv929DftfkRZjqYfFbdb1GihywfEMAzDMJc6LFbcZEzTMeJ67cm1dC73nLi999xeKjGVUK2QWtxjhWEYhmF0gsWKmzSNbErtYtpRkamIFhxYIO7bcGaDuO4U20mvz4dhGIZhLnlYrHjApLaTxPX8ffPpfN55Wn58ufi7b92+l/wXi2EYhmH0gsWKBwxuMFjMCsooyKAxi8YIv0qIf4i4n2EYhmEYfWCx4gF+vn70cr+XKcgviNLz08V9t8ffTtUDq+v08TAMwzAM48+bwDNaRrWkLy//khYeWkitarSi61pex5uUYRiGYXSExYoOxMfEiwvDMAzDMPrDaSCGYRiGYS5dsbJ69WoaPXo01alTRzRSW7RokcXjJpOJpk+fLh4PCQmhAQMG0J49e4xcJYZhGIZhLjIMFSvZ2dnUoUMHevfdd20+Pnv2bJozZ454fNOmTRQXF0dDhw6lzMxMI1eLYRiGYZiLCEM9KyNGjBAXWyCq8uabb9K0adPo6quvFvfNnTuXYmNjaf78+XT33XcbuWoMwzAMw1wkVJhnJSEhgZKSkmjYMGXGDggKCqL+/fvTunXr7P6//Px8ysjIsLgwDMMwDFN1qTCxAqECEEkxB3/Lx2wxa9YsioiI0C7169c3fF0ZhmEYhrmEq4FgvLVOD1nfZ85TTz1F6enp2iUxMdELa8kwDMMwzCXXZwVmWoAoSu3atbX7U1JSykRbzEGqCBeGYRiGYS4NKiyy0rhxYyFYli9Xhv+BgoICWrVqFfXu3buiVothGIZhmEspspKVlUWHDx+2MNVu376doqKiqEGDBjRlyhSaOXMmNW/eXFxwOzQ0lMaPH2/kajEMwzAMcxFhqFjZvHkzDRw4UPt76tSp4vqWW26hL7/8kh5//HHKzc2lyZMnU1paGvXo0YOWLVtG1avzIECGYRiGYRR8THC0XsSgdBlVQTDbhoeHV/TqMAzDMAyj8/G7wquBGIZhGIZhHMFihWEYhmGYSg2LFYZhGIZhKjUsVhiGYRiGqdSwWGEYhmEYplLDYoVhGIZhmEoNixWGYRiGYSo1LFYYhmEYhqnUsFhhGIZhGKZSw2KFYRiGYZhKDYsVhmEYhmEqNSxWGIZhGIap1LBYYRiGYRimUsNihWEYhmGYSg2LFYZhGIZhKjUsVhiGYRiGqdSwWGEYhmEYplLDYoVhGIZhmEqNf0WvQGVl35kM+vdwKtWrEUqXx8dV9OowDMMwzCULR1bssOnYeXrpj33087aT3v1EGIZhGIaxgMWKHWLDg8V1Uka+vacwDMMwDOMFWKzYIU4VK8nped74HBiGYRiGsQOLFTvERShi5WxWPhWXmOw9jWEYhmEYg2GxYoeYakHk5+sjhEpqFqeCGIZhGKaiYLFiBwiVmtWCxO0kTgUxDMMwTIXBYsUBsWoqKCmDfSsMwzAMU1GwWHFAXLgSWUlmscIwDMMwFQaLFScqgjgNxDAMwzAVB4sVB9SJDBHXJ9NyvfV5MAzDMAxjBYsVBzSMDhXXx8/nOHoawzAMwzAGwmLFAQ2jw8T1iXPZRn4GDMMwDMM4gMWKAxpEKZGVtJxCSs8tdPRUhmEYhmEMgsWKA8KC/EVzOHDiHKeCGIZhGKYiYLFSDo1U38oxTgUxDMMwTIXAYsVJ30pCKvtWGIZhGKYiYLFSDi1iq4nrA8mZ3vg8GIZhGIaxgsVKObSqHS6u95/JKO+pDMMwDMMYAIuVcmgdV11LA+UVFhvxGTAMwzAM4wAWK+VQs3oQRYcFUomJ6CCnghiGYRjG67BYKQcfHx9qVVuJruw5zakghmEYhvE2LFacoGP9SHG95Xia0Z8HwzAMwzCVUay8//771LhxYwoODqYuXbrQmjVrqDLRtVGUuGaxwjAMwzCXoFj57rvvaMqUKTRt2jTatm0b9evXj0aMGEEnTpygykLnBjXIx0cx2Z7NzK/o1WEYhmGYS4oKFytz5syh22+/ne644w5q3bo1vfnmm1S/fn364IMPqLIQERJALWMV38rGhHPGLSg3jWjf70Tnjhi3DIZhGIa5yKhQsVJQUEBbtmyhYcOGWdyPv9etW0eViX7NY8T1ygNnjVnA+QSi93oSfXcT0btdida/b8xyGIZhGOYio0LFSmpqKhUXF1NsbKzF/fg7KSnJ5v/Jz8+njIwMi4s3GNiylrhedfAslaCOWW+WPk2UlUQUEEZkKiFa+hTRtnnkVUwmolNbiFL2e3e5DMMwDFOZ00CyPNgck8lU5j7JrFmzKCIiQrsgZeQtk21YoJ/wrOw4eUHfF7+QSHRgiXL7rpVE/R5Vbv/xKFHyXvIKJSVEP9xC9Mkgovd7EP3+sHIfwzAMw1zKYiUmJob8/PzKRFFSUlLKRFskTz31FKWnp2uXxMREr6xroL8vDW6trNOvO07r++JCqJiIGvQmqtmCaOA0oqaDiYpyiX6+i6i4iAxn949Ee38p/Xvz50QrXjJ+uQzDMAxTmcVKYGCgKFVevny5xf34u3fv3jb/T1BQEIWHh1tcvMWVHeuI6992nKFiPVNBR1cq182HKte+vkRXfUQUHEmUtItooxfMxhs/Uq4HPkM09kPl9po5RImbyCtknSX68ymiX+4nOr3NO8tkGIZhLgoqPA00depU+vTTT+nzzz+nffv20cMPPyzKlu+55x6qbFzWoibVCA2g1Kx8Wn/knH4+kZOqIGjUt/T+ajWJhv1Pub1iJlHacTKMzCSiU5uRkCPqcgtRx3FEHcYp0Z5f7ycqKiBDKcwj+moM0Yb3ibZ9TfTZcKJDfxm7TIZhGOaiocLFyg033CDKlV988UXq2LEjrV69mhYvXkwNGzakykaAny+NbFdb3P5p60n9hEJ2CpGPL1FsvOVjnSYSNexDVJhDtPw5MoyE1cp1nY5E1RQjMQ2fSRRWk+jsfqKtc8lQIFBS9hKFxhA1voyoOF/xz5w/auxyGYZhmIuCChcrYPLkyXTs2DFR6YNS5ssuu4wqK1d3rieuF+8+Q5l5hZ6/YMoe5Tq6GVFgqOVjMBmPfFURMnsXESX+R4aQtFO5rtu19L7QKKIBTym3V71ClJ9JhrFFFUP9Hyea8JMi0AqyiH6+V4k8eYPcC4poy071zvIYhmGYi0usXEx0bhBJTWuGUV5hCf2x84znL5h2TLmOamr78di2RB1vUm4vnWbMwTtpt3Id187y/s43K+uVfZZog+pj0ZsLJ4iSdymCLP5aIr8Axa8TEEqUuIFo90IynBMbiN5qTzR3NNEb8USbPjV+mQzDMIzTsFhxEZRUX9dVKZf+YctJfZrBgajG9p+D6iAcvE/+R3RgMekKxA9MvCDOKg0F4TDwaeU2/CQF2aQ7MlpUpxNRWLRyO7I+Ud+pym2kvwpzyTDwnn64lSgvXelxgwqsPx5hwcIwDFOJYLHiBld3qkt+vj5isOHhlCx9Iis1Gtl9yp6sUPoteLS4vff75+mDFYepoKhEP89MTqoS2ajVpuzjbcYq65Z7nmjrV6Q7svKnbhfL+3vfTxRejyjjlDHLlez5mSjzNFFEA6LHDpX2uFnyBNEZNT3GMAzDVCgsVtygVngwDWhRU9z+0dPoiqzysSNW/ks4T1e9v46mnx1AeaYAalNyiNYsX0i3z91EOQU69F9JPaBcI90TEFL2cT9/oj5TlNvr3yMqKSZDxAoiK+ZgXfqp0ZV/3yIqMmiA5PZvleuuk4gCw4gGPUPU6gqikiKiRZONr4RiGIZhyoXFiptc11Ux2i7cepKKikvcT8FokZWyaaC07AK6++vNIorStkUzym6reFfuDVhMaw6l0lM/7RLdfj0iXRVbkQ3sr2aHG6koKJIoPZGOb1hEugHhc2aHbbEC4NWpXluJruxYQLqDqNLxtUrJdvsbS03NV7xBFBKleGm85V/Zs4ho3jVE399CdGSFd5bJMAxzkcBixU0GtYqlqLBA0X5/9SE3hxvmnCMqQJWNj02x8OZfByktp5BaxFajjyZ0oejBD4r7+/rsoPq+qfTL9tP0u6cmXylWIhTxZU1uQTHdu2AvfZ7dR/x9ZMnbNGXBNsov0iHCAqGGqh//EKKYFmUfDwgm6nWfcvu/j/U3FyduLPXqRNQtvR/l20OeV26vflXxsxjJf58opdqH/1Kqvr4eS/TPS96rhGIYhqnksFjxoP3+2I7KAW7hllPuvQgiBgD9THBgNgON5+b/d0Lcnj66LYUE+hFFNyVq1I98yESvNlX8FC8v2U95hR4Ih3R1XEGE7RlLT/60k/7ck0TflQwWfw/w3UGbtu+gB7/d5nlUx9yv4+tn8yl58eOpyC+YKHk37f3vL8+XacvcW6972cc6TiCKbq54dda9S4YBsYgqL9D9LqLOt5SKJKTdGIZhGBYrerTfX3kgxb1IA1rMg2pl5yB9tymRCotN1KF+JPVuFlP6QJdJ4qr7hcVUJzyQTl3I9cw34yCy8ve+ZBG98fUh+t/tVwqh5OtjoisDNtLSPcn07X8ezmW6IP06thsA4r1d+dke+im/h/j7wO9v0MPfbdcnqmMuVuorr1/GqwP/iozqGFEJBTZ9pjTBa9CLaMRsojFvEw2boTz21/M8eoBhGIYjKy42DcMZNsye2Uqr/XZ1I6hW9SDKLiimDUfPu/6FQuda2VrfDEQPpACZ0MMqPQTzZ1AE+WaepmntlUZtn69NoBJ3ZxXZEStYh7f/PiRu39GvCfVuGkMUf7X4+7ZIxRQ7a8k+Ss8t9NxcHFlWrECQ3DtvCx1IzqRfA0eI+0b4/kfLtx+haT/v9jzCUlxIdGa7crt+N5tPyWoygjJC6hPlXaD1C9/WpwmgOTDvyu7ASHfJSeOohGp7lWLy/fke48zFDMMwFwmcBnKG3DSiT4cQLZum9P34uD9Rxmny9fXRJjH/tTfZ9a2fpYqVMLXFvQrKoRNSsynQrL2/BtJFLZWD9zDaQNWD/eloajatP+rGrCIc8O2IlU3H0mjHyXQK8veluy5rotzZegyRjx/FZO6jATEZlJlXRF/8q/aJ8SgNVFasfLXuOO08mU6RoQE0676bRYffYJ9CGua3RQi5P3dbTup2fdnHiYoLlP41kWUrsRLP59DId9bRqxlK+qv2vi9oxBur6GCyjp180fQOviWkAVson6nGyNeV7wXGHXizSR1EnN4VXwzDMB7CYsUZ/ppOdO4QUbU4xQgLn8fix8RDQ1orQuOvfcmun+2jM6yNyMoyVfj0bhZNYUH+Zf9fmyvFVcDBP+gKVcws2uaGbwYHyqI8xeAbrqS0JD+rr4dUV0y1IOXOMHV2D7wsDfaL66/WH3c/LaOlgSzFAkqyP1p9RNx+akQrqh8dRhR/jfj7/lpK9dCLv+/1zKtz7rByDR8Qplybgfdzx9zNdOJ8Dv0bNozy/MKokW8y1cvcRhM/20gpmdhmOnDkH+W66WAl7WQOGuQNftZ7Jl8I8oV3Es2II3opluinu0vTlAzDMBUMixVnoh/b5yu3r/2caPz3SgO1/b+LNu19msWI6MOZ9Dw6ctbFBnFZyTYjK/DAgKFtynpZBE0HEvkFEWWcpHFNlO6uS3YnuX7wRukuCI0m8g8qzU4Ul9Cfu5UqozEdzKpkQGulOV3LzA0UGx5E57MLaLk7USUHaSBUOKVmFVD9qBBtFpMUK03SN1LL8EKxvX/a6qaxGUB8yplMVny06qhIP0WHBdL8+wZTcMfrxP23hf1LyRn59MSPO/Ux+h7+W7luOsjmw6tChtBJ/wZCSPz8/tO0wZ3ombNTr+ffQLTreyX1VFJItHMB0ScDeZgkwzCVAhYr5bHlSyVdUK8bUaM+RLVal87q+e8TCg7wo84Naog/17vqW5FpIDnpGNUvhcW0I1E5i+4Dn4gt0DCtYW9xMz53kxANWflFtDHBxeWjc62MmFg1okPJNEqzezaJsvw/zZS0iM+pzTSho/K+f9jshsEXhlVU2sj2+mb8rIqQG7rWF5OuBTVbEtVqSz4lRfRUc2V5n6w56r5o0CIrzS3uhi8FrwueG92G4iKCtc97iGkDRfrl0YoDZ+nvfepn5y55GaUDJJsMKPPwp2uO0i1zt9GMnKvE3/3TF9Gkj1fRJ6sNmES98QOljDs4gmjSH0S3LVNEHCKI865V/FoMwzAVCIuV8tj7q3Ld9bbS++RtRFdyL1CvpspMG5fPfGUaCJ4FlR2JF6iguIRqVg+ihtFWU5htiAbfI//QwJaK2Fmx38UDqJwwHGopVv49otzfv0VN8pdiQYKUDRrYlRTRtTFKZGTdkVTXjbZSqMEzEhSu3Z2ckUcbEpTtOLaTVVSn+VBx1ddnO1UL8he+Hggrt0g9bDOygioseHGa1Ayj0e3V1BiEanRz8i3Kpf+1VN7znOUHPYuuyHlMGClQ3TKCtvrgWXrpj33ids1u11BetfoU5ZNFV/utpRmL99Ev2z2IKFkDIbLmDeX25a8QNepL1KCHIlowguD8kdLSaoZhmAqCxYojLiSWTgRuPrz0fnRbrdla8Xvs/4N6NlHEysaj51w7gNmIrGw6phx8uzeKEkMT7dJkoHKduJEGNleiHyvU9JFLnhUQahk9WX9EuV+KsDKoaYvaqeupWa1qosTaZaGkmYtrllbBIPVx4Kzw/XasH0n1aliJtWZDxJX/0RV0RXysZ8MkcRC2IVZkFdZtfRoLA7UA64fqHCIa7r+ZQgP9aO+ZDFp10ANPh+zcW7uDxd2IrKEzMbipRwN6YWx7Cu6rNMabWv0vuKLF4yfTckgXMNU6P50opiVR+xtK768eR3TNJ4qfafs8ooPL9FkewzCMG7BYccShpaVNw+REYHnwan2FcvvwX9ShfgQF+PkIn8XJNCcnBBcXlYoFM8/K1hNKyL1LQyXFYhekoxCRKMiifhEpYrDi8XM5dPqCCxOKteWXRlaQTkIVEOhdjliBQXR4W7Uaal+ym2XbllGFVWo34MvU2UsWoB9KYDWRvprQOEPctXRPkutDHVEyLP06Zp2DDyVn0v6kTPFZXtHeqgqr1ShxFZiwgiZ0UT6veRtUz407yBSQlVj5YXOi6C9TOyKYnh7ZWhGsnSaICFRM3nG6qU4y5RQU0/9+30u6sEOdjdR5YhmjcV7tbrSn4QRldX94hBZtOUbF7pbIMwzDeACLFUccX2ffAKme5dPRFRTkS9SmtpLK2J7oZH4/D88zlRpcVfacVoRCu3oR5Xxyfkp6Av89aZO2fBmZcTcNtDPxgjgg1Y0MKRvZkMC7A84dpsEN/LRojEu9XqS52CyqhOWuPSRTUDb8Ov6BRI37i5ttsv+jmGqBImXjciooC0LFROQXaLHt/9ilmIova16TIkMDLf8PRAVSNoU5NKm2IlLgXUnJyPMwstLe4v1/uErxpNw7oGlpJVhQdaVsnIgei9sqhCma8m09kUYeRw5PblIih+2ut3gI6bix7/1LNx7oT+dN1Siu8AT9+9N7NO7jDWJmlSGg4gmjB9AeYPdPiqBnGIZhsVIOiZuU6/o22rHX7Sqas4mSzzPbRadZ6TlxCmlaDKyula2ixT6qTUTgRhUfDkHXU3BiA3VvrKRyXDpw2zDY7jyliCVEi+wSUkNJG0BUmQ5SSIAfncsuEBU0rnfvLRUr6GEC70tYoB91qKdszzKoZlTfE+toiNrjZvleF3uuZJxWrjEk0SyaAK8IGKZGiyzAh6L2t6lz5m8R+YK4+HWH+lqugD4mqWo1Uq022t1rD6eKqAp6y1zf1Wr8Qcfx4iryyG90fQfl83pHbdrncek0vstmvhmUjk/6YpOIMgWGRdK+ZneJ+x/2/4m2HkuhCZ9tpOx8nYXE2YNE7/cmWvyo0njxx1uVaiQIKoZhLnk4smKPjDNE6SeUs866Xco+DoHRoKdyO3GT8Fi4HlnBgb/0oLzntJLaaBQdJgyk5VJPXa8z26lbI0WsbD7mwtm22onXPLqwS00BtatrRyxI1K6vAac3UzdVKP17WBU/bpZtb1NTYBB+ZYy9Epg/wcnNNLiVkipy2TsiZzKZNcJLzynUPru+zW2koECLy5Xro6totJomQhrKZS6cUMqDUX5uNpNJ+mWu7FBHVJlZ0Kif8tz8dHq40XGhnRDZgcnY8z4vlpHDOcsO0r4zGaK/zqL7+lCfG58Q3qI6Pql0Xeg28T19dtFu0o38LKJvrhWl+CIt1/lmRRAjVTb3Cu73wjAMixW7nFTnxtRqSxRsJ8qhpmEQSm+vpm1gvHQqHZJbVqzsVcVKmzpORFVAnOp3OH+UusQqB/dDKZnizNj9yIqyXvL92MXsvcvyZpfSElpDPHOxovx/WQpuE3weAWHioN07PFWkRI6dyxERCadJV8WKWSO89UdTCR9b05phIgVmE4hTX38hYi+vp7TA33w8TUTEXOLckTIN6WCslRGia7rYmICN56nNAGud+osGqJ6eBeqwS5cpKSFKWFVGrBxOyaTP1a7Er17bnupHhSpdk7veLu6bFr1SzIr6adsprR+Qx6yYqTQIhBi7cyXRmHeI7l6jVJ6hy/HC25T1ZRjmkoUjK45SBb4BdufGWEQ2Tm0W0RBMYob5MdGZSg0ZWQmOtDB4gtZx1Z379GD6hY8CJa7Zh8ScIhxwpehx1bOC6ELieeWgH1+nHLEio01ndlAnNWWzXY2MuOtZ2aZGNjo1cBDVQUSrbmdxMyxlq5jPZF7B5FIayEysyIiUrOyySVA17X3Hndsklo3KJQx8dKvHS5Q6xkAte88rLBHGWvmeyqCafOngn3RTtzpaNZRbHYSxDkhh+gdr2xO8/fdh8R1CQ8KBrcyaFXa7XXh8qp3dRs90yNG6CLtsbrZVFbb5M+X2FW+WGtnRe2f8D2RCaXvCajq74j19J24zDHNRwWLFHj3vJXrqJNFAdfKuLcSBy0ec/fnnnacWsdXE3fvOOOHdwIHCKrKCGT+gSU3ldZxCVpMk7dQOcrtU34lDcKYqm7KpkZWDKcp614kIpojQAMf/H54VGFTzM6hD9XRxtn06PU8YM10r21a8EvBAyA7A0v9jF+khSvxPq1hyTazIyEppHxeZAurkKKoj0zHg2BoapnYYXrbHTbFiVja98oASaRrQspb9knVUQ0FY5l2ggcGHKS48WHQQdqtB3anNynXtjkR+ymeNSrLfdypCbsoQy2Z5QlSq5dsTQtYKc/PRs9m0YJObkR0JJlqjBQB8M2rvIFBYXEKvbCmhl/IV46//6pfp6jmLRU8fhmEuPVisOALhb/OSZWvQ8VOeHSftolZxSvpmf1KGy5EVnDUeVQ/WaEjmNLKa5MxOindFrORnEJnUs2L4A0RkR1l+81gnIjuozKnZStwMPb+XWqj/R6ZynO/xomxfmHNx4oxmeNosInuglBwkbtS8OjtOXnA7soID4261Ckt6j+yizkbC2f7AlkoqBp2DMaLAXbGCz/4ftU+NfE27FWCqydfv4GK6spOy/ovVKiaXOKmKlXpdtbvQiRhRlV5NoqmtrciaavIN3PczTRnQQBtNgO3nFhDMOxYot3tN1vrt4PXu/noLfbDyCH1ZMJiOUH2q4ZNFI9K+oYmf/ad5e3QFXz6knPDd4AgOw1Q6WKx4SqxazZGyj1qp6RuYE131rOAMOSOvSOyvkVJyGvRbAakHNLHiVBooX43+wOSpzgWSE4VlhKhc4lShlLRLO8hLk3C5fU4Ksiwa0u1Xo1FOVUHJFNS5w9S+lmJERVQmI6/QxahOnLg6kJQpUjCYYN0kJqz8qA7Sg5lnqHVIGoUH+4veNLudTb1Jg63ZAEdE1DA0Ef1dMGvKIS3U5oRHV9DIeMXkC6Hj8lyoU1sstiUqm77frFTe3NjdqhJJ0ugyJe2Yl07XV98lZifBK/THTjfEEjixTmnpj35BLdUUFxHN+GOfeE/BAb70zk3dqMlNSofdWwOWU42SC/TEwp1a5ZYuJO0m+rAf0VsdiOa0Jvp8OFGyTn1sGIbRBRYrniJLT1P2UEtVrBw5m+1yZEWmgOpEhJStBHGEWkKM0s+WtRSRgfB8uWf6Uqygh4fK4RQ1slKrumtRnaRd2ntHuavTKTBUWqH82ywa5ZRfB1OqRfrIRNE5CWLgIU6Gd6uVTA7BE62mXcsUEMqlta619sBcprh4cdPvzDbq3tjFUQtYfuYZi8iO/L8oh7Y5Zds6DYXtlnqQ2odnCTMwfFIuVUQhonF2v0UaEZVcEB4RIQE0vK0i4myafDvcKG4G7vmRbu2jiC05S8ll9v6iXLcZo0QxMbrhcCp9ue6YuP3OuM40sl1t8kFPo3rdKMBUQLPqrRPC6pEfdujT7yVlP9Hnl5d2qkZaF3OSIFhk6wKGYSocFit6iZXkvdRYPSs/fi67/E6fVpGVBFXguJQCAkhD+fgRFWRSPf800fMEs4WOn89xWazIyEpzZyMrMqpzdr8mVhClcFqsQKip1TAyGtWqtpNCKbatcp28W+vJst2ZVBAiOkW5FjOZpFgpNwVkHdk5tUUbSeC0Zwbpt8Kc0j4vmJWpmntlSssh+L7UUQyxPgmraUS8Iiz+3O1CCTWiGfCJwHOkTrzG1G4wqn1tx2JZnX6NsuebOkVToJ+viKbJkneXOPyXGi1SUluoovufOhNpQs8GpVPHEW7s/aC4OSTrN4qv6UdnM/Np+m97yCMQ4fvhFvHbofo9iR45SDR1H1HDPsrntGBcacqQYZgKhcWKXmLl7H6qEx4kKoIwK+dUeW330a3TLLJyJFWJajR1xVwrvSMogcWHee6gmNVj7j+xC3bGZmIFqYyUTKUEt6n6GuUS00K5TjtGrWKUVBLSGXgt58zFpWbWQ2pUR3pfnBcrezSR4VRDPhlVQZVJYJiFUCq3a3AZsbJV+Dtk52CnvBvo3yP9ToFKh+Atqs+n3BELEjml+cgK7YCOyIrTHYRlQ7qopqK6Cv9v+V7FJGw3qmIuUOG1Kc6nGif/octVsfStq0bb80eVC0rBVR/QbztPi8+iepA/PTJUjRiaV0JFNSGfvAv0QfsjwtD9y/bTtOW4m4MswebPlQgTROsN85RIW3htMo3/jnJqtBLflYSvJmtdpRmGqThYrHgKIhvwMBTmkG/maWqs+k2OquLD2cgKUjdARmdcQoqGswe0qIgsgy5XrOCgCZFxTjnbrxEaQOHB5VQCSZCKQRrHVEJReYnCHGseoXFWrCCcfyGn0LX3HxuviZUOrjTkk+XaalQF5lbZWE0KvXJRIxtoxteqVohInSAVI303Dsk0656LjywzX8x0EiOAyqtEshYrR1dS5waR4uAOz5NTxmqQelC5jmmmlYyjVwxeR4ovu4j2ykrrf9r3q+Zv+XX7aef7+4DDfyvXiGgEh4vP4S21I+9dlzWhGmGBZc3F6rTz+gk/ah1+X16y372S5qJ8otWvKrcHPq2lBDE+YcLXe2hs0q1UaPKjxqkr6O1359CD324rX4QzDGMYLFY8BX0/aiihdJwpyoNtuZ1FNc9KDYvnu5wGMhcr545okYmDaqTC2TQQIiKggSvmXhy4aqrLTj2gGYzLTQXJkmlVrEi/DnqMhAY60bnXKg3UtnZ1sSoYVXCuvAZt5tOeYbfJyBNCw9/XhxqgAZozxDRXxiRAoJ47WCqWnElDyciKTAEdV4Rbi1rVhehxCjTkQwonO4UC0o9pplynfSvnDll8b5apzejQVwWRwXKBxwQcWk69GoSJ7YYDuYzOuNQ9t5nSkG7TsTQh2DHR+ta+jW3/n/Y3KpGY01vp0Y5FFOTvK/6fLPt22S+DpogoX+90syZUbvh4A/17+Byd8G9If0ePE/c/FfAtLd5xgm78eD1lOmviLo+UfUS/3E/0+QiiXx8UJxoMw9iHxYoeIJwOzh+hRs6KFbPICs4MT6qN5Jw+YFosX925pyVY+GZcEyvZ7i1fCqXUQ9Qy1lmxYhlZOZbqRlQJy8WBKy+dQvOStfUudz6RVedcGdHC/w+w1+LfGpzl1+mo3D61hTqq6SOnmuLJyIpqrpVpjC6NnIyqAJhR63RSbp/YQP3VcmenxYpMA6mf3Sr1YD9EekTKA71ZqtcRYs3n+Doa00F5L785OycJBt9j/1p0z/1xi1KJNKpdbfujJhD9UEu3Yw5+Tzf3Uk4SPlyldgR2hU1qI7rOt4gTDqTw7v1mq/jd1qsRQosf7EeX3zNb9LVp5JNME0PW0+5TGXTf/G2uDey0xYElRB8PJNr2tVIRtXUu0UeXEe1e6NnrMkwVhsWKHsheK+ePaqWvDsUKdtYw9YGgcJECQeksiItQqiJcooYqVs4naGXPUgDYJc/Ss4JUBGjotlg5aFYRlOGSWElwR6yg3FouO3mv80JJSwMp0Qi3etuYl23DM6N23N2e6ESPmcwki8iKTN10ctbca94gDiRuoP5q6330uEEXYqfTQNHNRfpHVnD1Uc3C5YIwlmzgdvgvGtOxjiaWLuQUOLf8/HRlbEJsO5E+kuXP11kPcLQG4gLsXEC39awjImLoc+P0AFEZ1UjcoBjTMYcIgmflERHlQvn617f3UBozwtPU92Hx+FNhv1O1AGXY5WdrlXEEboGS6B9vU0zemCA+9gOiJgMVw/PCO0tNxwzDWMBiRVexkkCN1YOePGO3iewxAoKqaXNt0AwtyN+FsmWJ2q8D/TsaRCq+EfRscXjg0CIr4VZpoFD3lp12XPN8lB9VSrPoseKWWDHvAHv+iCaUyvXLZFumgWSZuUtdg8376yTvofZqNRJeq9xeLzINBCOnyaT1xLHZhM0RcojmiY1UJzJEzDTCCf/68kqoYeyWow5immll00jhRZfXjM+c5kOV60PLReoR/x/GcqeqkuTcLbT59/OnxbuSKLugmBpFh1K38iJMiMRA6OWmUe3U9ZpQ+nj1UddLptGzJry2EPbvrFAa9f3vynjL7yF8MqExFJiVSB90UT672Uv3l+8Js3eS8st9SjUYBMqEn0SjPdOEhZTSZCyRqZiyv72dFq3drv9Ua4axtR9GlG/DB0SrXyPa8KEilmWqvJLBYkUPolWxcu6ItqM7nZ5rv1GXFCtIY/gH05l0pUV9nUg3oioypQAPQ0khheQlUWy4ctDBgD+XPSuuRlY0oXRce+/wjjg0W1pFVkrHDLgqVtT027nDzvd5kWkgddqztmxXhZLWX2cvxYQFitQB2JmY7rTB9mRarhCVaAbntLnXOrKSeoAo5zz1VX0raw+XkwpKPVzaEC84gtapJde9m5bTjM6WyRffX/hf0o7RaDUV9KszqaDE/yy65/6gNqO7tks9+6MGzFNwbcYqt/f8LMy4YMnuM5pJvFwOLLaYtTRj8T4x4wjb8EpV/GigYks19vY9/6PoMAxR9sJve1039u78TvhtxAnCVR8JoQZz+a1zt1CfvVfTvpL6FFZ8gfyXPk4DXlvp+jRxexxfT7TgJqL3exP9MKm0ezFz6WEyER1cRvT1VUSzmxB9eyPRn08S/fM/oj+fIJp3DdFrzen4rG70+7uP0Js/raR5G46LIbUuGegNgMWKHsg0TFoCRYcGiKoKfCekD8WuUAisJkLqZ9JzNYOpW2AHrvbLQHSnYZQTvhWz0mU0kJOl1g1djqyoy81Kpkj/IopUZwodS3Vw4MgpNdhih1/qWanmnlfo3BEtDXQwKdPxQcRuGsjFZWPUAJqIYWxAVkpp+XR5Jlszg63s9ovIhFPGVnOw/tHq/J6Tm6hvcyVSBHOoc5VAzS36w8gZS06DKjIpmA4t13wriNSkZJYzH+qk2mytXnchMJDGgUa5urONadO2iL9aud6/mFpFB1K/5jEiqiSbyTkk/aQYvimav7W4nHafShfGYCx/+pg2tsUSxIqvP/mcWE8zepWI3jJrD6fSMlcMxYiqrJ2j3O43lah6rKjguubDdcIg7OMXSMuaP0cl5EdX+G2kZtlb6dYv/nNO/DkCZ81fXE60/3fRuBICjz4dTLT2Tc9el9EXfC/Xv0f0/c1Ec8co4vKfGUqnab3GP1xIJPp2HNH86xSDu6mELoQ2ojUBfWhB0QBaXNydDpXUpRKTDzXMP0hXpH5KD+wYS7X/uIU++vAtenSB2vW6gmCxogcR2Mn6iLyzT+55qqueZePM2Sb5WRYpmNMXlJ177Qjl/7mFlo5J0ASH9KE4FivhIrJTVGISB8zY6i4KJkRH1C60SENpnhlHQsmsKRyiMLmFSjWOjE64kwaCsRkRCqQTZFrN4bJDaojIl3yuy1EdnHHL9F8KUkHqXCZHzdGKi0rTUOF1aK/a36WNMyMG7FUFgVNbqUeTKPLz9REpNbsi2aISqLkYXIjno2dJ9yZONKRzkAqqHxUqqqIgGpbsSnJsLJfdc+t1ox+3KnN+ENVAOsspMPQQbf/h+zq8nG5Xq4cwLqDcah2EvQGEVlgMvfOPsj1Gt69Dzex1bg6vTdTmSnGzzv6v6M7LlOW9uvRA+c0fJYeWKkIRv5Vud4jv3l1fbRbpYgwO/e2BvvTQxOvJt/vt4umvhC+kEpOJHvl+u+gu7BZId+GsWVZS3fgtUfsblL//ep7y1r5HulJcSHTgT6K1bxDt+K60l9TFTGGumLtGp7eXnmTqCfZHvz2kjHpY+rTymSWsUsTl6tlEnwyi0690oR++fIvmrVN8VS7NIZP7nfXvE73Xg+jgEjL5BtC/NW+g4SVvUcfzM2li5n30dPFd9Gnt6fRV5+/pm37LaH3b5+lMRCfy8zHRYL9t9FHgG/R42nSqSJysE2Ucb8UgpedIVpLoDooW6EhH2BcrUigoZ/MysuJ2GghENtAUeqOYvk6IldI0kHxe/Roh5bebt0WNBqLlPtIBjWPiRL8Th74VuRMLidREDYSK09U41mmgC4kUYCoUDfWw3WGyrVcj1HFUJzRKLBsnLZjvgzk3LoNUEIYSJu+l+LqK4dZhrxMIFQyPhLEzrCbtPa2kP9rWcVOsoCJox3yi09tEbxxEd7Azw8Hthm7q98FuZKWFFlWB58bp3jrmoA3+X9PFBGr0LRndvrYwumJy8y29VfFsbyZRjcZUEhpDC7fs0lJAToOux23HEq1/l2j3T3TZNVcIzw48Q99vPqmJF4dipeUI0YBu6R4lqvLAoNIJ2DbpcY9SrbN7Id19/ws0b8MJMZ5i0bZTdI0z677uXeW6663iN/f6H3tps2ronXtb99LhoZc9RrTtG2qQt5+mNT5EMxJa0APfbqM/H+pHtcJd2D9knSX65QHlds/JRMNnEmTVotz2lH4wgCblzaOA5dPogX99qdtlI+imHg2F2HWb5D2KcVgKUQBhNnK2NqJBNzAiYdf3yuBJ7HeRzkPX4fJSiK6QfopoxUzlM5cdr9FPCz6nyx4trcbzBKRDEUlRx2+UNOhFO0N60LJEP8pOT6WuvgdosO82qpN3hK479hztP/oJzS66gbYFdadBreNoZLs46ts8xrHP8fQ2RQyJaCLRkZB4mpx+Mx1IrKfNgbu5VyNRhWfZ2wjDYqcqlYOoWtv+LdXvpXavriA4sqJrdEURCzJCYPcMX3pWVL/IGT0iKxF11eWf0nwnjtNAqlgJDtfOxHF27BZmvhUZWXEqBRUcoQk6t5YNkyz6nWA3fD5B831gqGH5PV6iNBM0UkDleiUc9XpJgViJ0D5zuzNrtBRQnEjdSXNtG1fNtRK5w8QOyWTS+q2sdZQKkmXL0c3N/CoupoDMG/PhYAHD6IkNYo4PQO8TKcDtp4C6CTMwthcO2OV2zrWXCjr4J/kW5dBtqkD5cl2C/WgHKuASViu3W43SoipY73InjSOKhfdblEfh+3+ke/orQvnNvw8Kv4tDsM2Pr1XShj3ups3HztOnakXRG9d3tFw2Sup73Sdu3m76WczKQroIs5Bc8sjAg4CKK8x+Gvoi5RWV0P3fbqOHv9tB0y+MoJ+L+4iz5inZb9GMX7bRuI83OFfJZU+ofDFSESohUcpIBqQosfyf76b0pTOdj0A5oqSYaPnzRB/0IlrzuiIkNrxP9OUoovk3KAJND2Ay/bAv0fZ5ilAJiSJTaE3hCRQRj48H0Mo3b6W3/9xJ/yWcd++9IQKFdA+ESnQz2jt8AV2e/hSN3dGd3j/fhRb4jKDvG71IH3T+lTY0uJty/apTK99E+jzwNfq4+Bk6tu1vun3uZur60l/0yPc7aMX+FMvvIU7KljxBpk8GCaGS7VONniy8g4akPUkHSurRgJY1af6dPWjplMtoQs+GZZswSpAuHvoi0dS95Nd5IlUkLFb0FisXErU0kN2W+1bmVphxPY6sICwO0hPNUjHORVZOp3solqRfJu04NYoJdexZwQ5XK5suFUoup4AABIY0N58/ovlO7EZ1CnKUElEQUsP9suUyJtt9IjKBahaH0RXNXBsnBI3c7q2dnYdkDQYqwuSKiE3GKeHdAIis2OwFgnAwWtzjY4hpRuuPpLpnrjXf/mqfFOTAkcbpqo4MsDuJWZpr63fXjLXwu7g0vFN2Ecb3DkLp4FK6ulM94ZdKPJ9rvzndkb+VA050MzpQFCeqkMCDg5o79167TFJub/6CbunVQFTvYXk/qD1i7LL9G+W62VDKDY6lR4XwUKJJNnvbIIrjH0K+STvo036ZYvr0mkOp9MNmJWXm1BTprV8pty9/hYrIj+6Yu1l8JkiVPja8FQ2YMpdKqsVRU98z9FjQIvrv2Hm6/qP1oqOySyCljegAmlxC0D2whQqv+pQ+az+f5vpfJ54Ssf4Vem76U/Tkwp2UpH7nXQaen5/vJvr3TSU6iXlSw2ZQVpsbqcgnUKTZzr/Rg97+7nf6a2+y66kSydGVivDBSU3tDpR/yxJ6s/Of1DH3fRqaP5sWFfcWTxtw4ScatG4iTfnoN+r/6gr64t8E5w2o2+YRLRgvhFBB48H0VM33aOQvJXQwOYuiwgLpmVGtaePTg0UJ/SNX9qSet82mkEd3EfWZQib/YOrme5AWBr1AX4XMoU4FW+jXrcfo1i83Ubvpf9Ltb/5Av755P2W/1o5o44fkYyqhX4p7U//cV+n7kkE0qn1d+uPBvvTlrd3F797pkzS/ACWDUIGwWNGLyPpmkZVQx5EV6VkJrCYOKskZekRWVLGScUorP0YPDbs/ILM+K2fU9UTu3DO/zDFNKCXYi6wUZIsSzdKojrJspM7cwsxkKyt67JaNy6gKDvBB1bXnuTyPSaKaVEUqyGTSoit2xYqZuVb6VeAvqu5OCkZOgJbDJE9vE2mgsEA/cSa+z1avmwvHiYoLRAXasaJoIZZgFnV6JpEtNLGitM+/or0SXfndlljBAUetRMmq1Yn+3JPkegpIgp2sjK7s+YlCAv1ofHcl9fX5vwnlpoBKoypxWiVZubS/XpkplXqAQpM2030Dle/eO38ftl/5h2jAjgXK7U430bsrDomTiLjwYHr2ClXsWhMWTdRF6SdTd/dHNHVoC61qCb/pchFGXpPis2nYi2YvPSAMwfhuzL21O903sBnViK5Jvle8IZ5+m99i6lj9gjhY3vHVZsotsPNebAFPDL7/aBI47jtKzAumaz9cT/9bcoiez7qK3ilSKree9/mY9m5eSYNfX0k/qT4ll0CkaNcPym/3ms8o4+qv6ckzl1GH7VfSyLz/CWNoVPE5Gr/3Xnr560U09I3Vrg33lD1wvptIVFIkKs52Dvuehv2YT2/+fZjScwspv0YL2tn9dVre+X3KDahB8b7H6LfgZynuwjZRHXbZ7BX06Zqj9rcfFCoiQihfNxXTkbpjqFfCHfTt9nPi6zy+RwP655H+dEe/JhQZGljWGzj0BfJ5cJvSa8jHjy4zbaavAl+h/cG30vrgB2m935302YU7aMyFrymsJEtUl91U8BS9FfEE3TS4K616bCC9O76z620SKgksVvQiQooVxbMC7FcDlQoF7HxQCol0cS11to6naaCIYH9RkWRu3i2zAy3MtjDYgtqRHkZWkAZSBQPO0GzOUpHvHb6NgFAt+mTXY+Ksb0VEVuRcpuxyzLVR4mB3xN2yZYkw2Poo7yn7LLVTxQoqTMrrXiuH47ntV7GRCoLnp4c628emKRMHFZkCOqoIt04NIsWB3m3QLwTAs5SVQiPb1xbfZfiWEq0nf8tmcP4h9HtSlGiEiNSd09OurWmripVDy4X4ntiroTBqIzRf5jOA+fPgUnEzsdZA+mOXIqYecCaqYl4BJQXSli/EwQUCHyMb7FYioeoCof6QKDpco6/WD2b6mLaOxysgFYTfSMIquq3xBWHCxgHzpd/3Ol7HtONEexYpt/s9Sot3ndGW+dp1Hai3mioUoBtw4/7kW1JA8xr+KSJT8BxN/X67cyknmE7hZwDXfkanCkPpho/Wi9eAD2zW1e3otmc+IVOr0RToU0wfhH5IxQU5NPX7HfTqUhdmOuHzlZVUY96hvdHDaORba2jBpkSRgolt1om2DJpPaRFtKMYng74Omk1ZqSfpnnlbxEwnp9JbaNY4/3rxWzY16EXf1X+Wrv10m/DzQVi+M64TrXh0AD03ug0NHXMThdy3WjQ0jKZ0+i54Jj1QfZXYl7/0xz667NUV9PnaBEsBi+/fH1OJ/n5R/Pld0LU0+MgNdC7PJD7bhff2pplXtSsrUmy1qRjzNtF9G4m63i5S4X5UTLUplaJ8sqjEx5+So7vTuo6v0OkbltGcJ6fQP48OoIeHtnA/zV9JYLFigGdFpoEwxdhmPttGCiY2PJj8XTWYmoMzGxw4i/NFea6srEDFh93la+ugV2TluBBKCGXa9a1o06YjhGA4ecGDNJBF2bilULJZFWJmrsWO0u2yZQnCotLYnHpIEyv200Cl3Ws1v4q7lUDWQxXhW1GragDSBo4GGLrdX8VWC3z4IsCRf6hW9WDq0VgRTFIQlPGr1O1M321VO9Y601vFHnHtlIowpPYOLBGRSembwcHCghMblFRFSBTN3FldnOQObxtLrV3d/l2UnisQBEEF6TR1mDId+r0Vh217lRDyx0l1u+vomd8OihOTwa1qiWU7BN+rdteKm/4b3hEHfojARdtP05pDDrwZ8HAgctlkIB32a0yP/aAYK+++rAmNULeNBrb78Bliv1Ht8K80/3I/kSZasjuJ3v1HFbb2wAZc9oxyu931dC66C038bKPYn+GkYfFD/Whc9wYUFhxIPji4Vq9DdYtP0beNlB437604QjMX7ytfsOA3ixlKoMc9tDnycrrh4/UiIls/KoS+v7uXSJfcOKAj1bj7D/F9wIH796i3qZpPnij9HvHWGq35od1IN4RKeiKVRDWj6SFP0xO/HKCC4hIx1XzZ1MtEHyELAzI+n9uXigiMn6mIHin8iFY2XUCtI4vF/ufF3/dS75f/Edv/27830en3R4sp3yXkQy8UTqQn0q8WqePnR7ehX+/vQ52dHWJqHtW9Yg7Ro4eIHt5DdMc/RPesJd+nT1LsA8up99h7aHDbOuK4UlVgsaIX6qwXyjgtKkuQZ8bv0KbR0MxgK1MwbvdYkfgHKmZHkJ6o+V8cihW/IDL5BZYafN2NrEihhlLS/AxNwSOfbzf9FBwu8spy2W5HVrT0W6L48cNHYNe3YmauTc0qoMy8IrG/drm3jM1U0CFqq4oV7EhtHrgyzCMr0lyrX2QFXzhUB4BNx86XTU2oYsUU3by0v0ozN8215jSVrfeVVJBsEIdSYouDUeJGZTUiO9C2ExdEFOSqzmpE0B1EKkitUNjzk7iSRtvfdp62/O2pKaDz9QbRkr1nxX99RBUaLoGuuxBJOCnY8S1d1amuEDz4Lr2tppYsDrRqA7oVoUNpw9HzYr+AqIpTAq33g8r13l+oQ1iaqNoAT/20y3bUEstTvSq53e+ju7/eIkr5ezaJoseG23mveC8dbxI32+x+lf43RjGNv778oOPBlIhSoQrML4iy+j5Nk77YpJVhQzxY/J7RqXqsUibdKekH+qyv8t3/ZE0CzfijHMHyxyNKlWVMC1rd4D6a8NlGsa3R6fj3B/pR98ZRlsu56UfRcTg25wCta/oVNYsOEpHjcZ9soNeXHRAzoMpEmRfeIUyoxcFRdHvh4zR3R6YQho9f3pI+mtDFfqUcxjFc96ViQPXxpUanfqPFvg/Tb+3W0uDwk1Q/Zy/Fbn+HRq0eQ3XOradsUxDdVTCVvve7gm7r01ikZW7t09izk1QfH2X/W6+L8lkiNVxFMVSszJgxg3r37k2hoaEUGWk71HvixAkaPXo0hYWFUUxMDD344INUUOCmK70iQUdQkJ0iTE2lqSAHYiGwWqm51V2hYCsVlHGqnMhKaRoKoWX0OfFIMKHnCCIlYtlntGqkMmkAi2WHU3JmvujvgrM5t1NgWvrtpDhYy1SQTbFiFlmRURVEdFw2d9rq9XLusAjrS+GzW03zWKCWKBaExmoVS21qe5g/hskX3YuR4ko7Rs1rVRPbEimWrepEZ+vutSf96gtfCzwMbqdgbPlWjq4QvhS0wMdr4+AlRZG5WFmcrkSjhsfHiUiMR8hUEIRSbpp4Pz0aR4kIxqt/qpOMcTA88Ie4+WlKK3ENkSEnlLuEMNreqtze8iX5+RBNG6n4hr5ef9wy/QSPRXEBFdaMp0dWm7S0k9PheBioIQRhKF3/Hj06vKX4vmKfgqhEGTZ/JgzHprh29MjmGqKUG92s3xnX2fEBceDTIjVHJ9bTjRG7tQGRD3+3nQ6nZNo2ai9/Vtws6nEv3flLsogmIqL69R09bPvP8B3pfpe4Ofjg/+iVUcoyUBX1/K97bBvC0XMEItTHj1bHz6Db5+8W32tUsnx1Ww/baTQMdR3/nXg/4SdX0p+NFtD1neuIr8A7/xwWJmKUrAtw55InRO+RIt8gmpjzMK04W41iqgUKwTV5QLPyWzng+9DnIaJJi0WjSJ+cVGp36H36rOBx+iXoOXo04AcK98mhY0Et6fNWH9Po62+nDU8PFukkuxU4jPfFCkTHddddR/fee6/Nx4uLi2nUqFGUnZ1Na9eupQULFtDChQvpkUceoYsOMWvGR9mx5JyjutJka1OslI2suJ2CMUcdjod0gxQrJx1FVpACUiMb2NF4dNAWaSjFl9EgKsSihb+9NJDcNlhXt/q7gPC6WkM++Eak/0TO/LEdWalh1mbfzRSQtVhRhYA02e601RxONdgezasumqchAidHI3gUUUNJLTizXZyxl7beT7UZWdmYqZyN9mwS7XpvG1ugwRq6MWOUQfIuMTVZRkzmbTxeKhTV5X94VInmTOihep08oVYrolptlSqffb+Lu6aNUsTDT9tO0YoDKUqPibRjVOQbTF8kN6HQQD/3oiqSdtcpQxjxfo6vE9GsEfFxQnhP+W57aURLTQF9k9+X0nIKhT/pzn5q9Zqz9FGjK9vmUbWidJp9rdLPZ/7GE6JcVaMwj2jjx+LmX5HX0+LdyeIk4P2bulDN8k4EcJLTU91H/zWdnh3ZQgg+RG/u/GqLOKGxAFOiUw+SKTSaHjk9UJSg4zOHedehWX3IdMXnlXGKbjj3vkht4Vj/1frj9ORPOy1LgLPPKVEVFFM1vJVu/rNQCFAYuD+e2NWxzwpjHK6fK8y4/nt+oNkhc+ndG9qJEnlE9JAWuvq9tbTmw/uJNn0iUjP3591L6wqaiveNiduyDYDTNOxFdPcaoqs/VQQmTl5xwe2rP6FGT6ynB8aNpSs71nXfUH+JY6hYeeGFF+jhhx+mdu3a2Xx82bJltHfvXpo3bx516tSJhgwZQq+//jp98sknlJFRzuTeyoafvzYcD2JBejBsiwWzShxPy4bNQY8GkJWind04TAMFw1yrUxoKXT6tIivliRWPypbND9ZSpF1ILCeyUjpA0eOy5TKRFSUFYNdki22uTtrelRmmpYDc9muYU6ejhW+ljy2xArGQo/y95LRyQJGlzh6Dz6BRP4tUEHo3AFRkiLNztWT5fEhDOl0QJiJASE/oQvxVFqkgNLmbpDale+jbbXRklSIalhe2p1wKpidHtHK/+gwEhxO1U9NPW74QVzOuaidEARrFTf5mK+Wc2E6UtJMKfQLozZROQiDBpOnyWAVMZoYnCP0+Nn0qPEbyvaFZnBYlQHl0dgrlhNSme7cr2/750W2dr/TqO0UxnqcepICd8+n9mzqLbYTfEUyqmvcOv180SyOiBaE30S/7s8V7+uTmrtRO7eJsF6RNMGUaJxfbv6FxEXtpzvUdRMoFzfzQ60Wb74Q5Ndln6XRgI7p+v/LduqVXQ3rrRie3IZq3Yf4SlrXlC7pi90O0dFIjGtW+NkX6ZNH4pFeoX7LyvXiucBJtr3YZzb6mPX17Z0/Xmu9Z/w7aX0c08SeiRw8oF9xGFRlGojAXr2dl/fr1FB8fT3XqlA4PGz58OOXn59OWLbbnEOAxCBnzS6WhuuoZyUrWIiUycmLPs6JLjxXrVFRWkmbytVkNZJaK8bjHio3ISn0n00Aely1LpMlVDFOUvVayHEdW3J22bM+zgm6axYX2TbbSXBtYnXamFOtjrpXUlmJlu7iSvhWsg1YJoVYCmcLr0poTynaX84R0odng0uoXMcU5XJgTcbL84u/7yASDK7wbOUpkAdUJugg181TQ0VVa9AqCBL4GTMH22/eruO+P4h50fdd6NFEVUh4hU0FIVWSfE5HJd8d1oiB/X/pnfwr99tlL4uFlRZ0oyzdcHGTd+q5hG0nvysYPhVh4amQrLfIx/pMN9Pu241S0RilDfiVjGBWRv+jiKwWjUyCN2/9x5faKmRTtn08fTewiPDYYqAiviDgBWDVbiF6kEp892VWUvn84oTP1craxIKaFq03vaNG9dFXDAhH9QdoQvV4Gvb6SPnzjeZFCKzb50L2Zt1GRT4D4POH1canLLgzK132hlJujD9DcnvRe6h20LfR+utZvNZWQL61q+hgNu2Ua/fvkILq+W333I7xM1RYrSUlJFBtr6YqvUaMGBQYGisdsMWvWLIqIiNAu9eurnoXKgBQLmUnawV9GTux5VnTpXmsjsiLTQIiclMkH2+qxEql/ZAVixO6yg8M9L1u2YbKVk58TzqKVvsnOAMUo96ct2xJp2BmiN0PacYqvY8dkq5lrS3useGyutY6snNku8vCoAEDkAm9f84yoKZi0kIbiLBmRNLSo1w3pW4EoUdOcOMDgYLb64Fk6ulWJuGwoai5EBNImuoHy9Qa9lCoY1WCKlCZ8B093zKNGvsmUR4HUZciN9PLV7fURSTDaIuKBvjX/4QyeRNn4vDt6UPuoQrqSVor7FoeMFg24INzcBlOm0REWYnvtG6K9+sc3dxXzqJBeWvXju+SfkUhnTeG0oHggTejZgJ5WfTQugVJYpGmykomWPydSmki5CCGRcJ7ueP0bKlz/oXjqM7njKCQomD69pSsNauXiexv0rFLFhvcz/wa6vIFJVA8h0teddtFtF94RT3uz6BoqrtOZfp7cR3QMdutza3sV0R1/ETW+TEnRnz9CPvjMYtuR76TfqP/EZ+iyFjU9GzXAVE6xMn36dPGlcXTZvNn5EeS2voA4yNj7Yj711FOUnp6uXRITy+ke6U1kNU5WqWfEURqmKKCaNqG2th6RFbRxB5lJFFs9SIRXkect00jKzLOiWxpK88ucEa+FSg+U/iVbT+A1b7Xvadmytcn2QqIQStjxoAoCQxJtRVYKg2poKSqP00CYU6M1pjtMEaF2TLaqudZUvbYWuve4x4qkZmtRlSFC9GkJFtGVNTIVpIqVfYXKdwQHT90iGwAHOfTbgXfk2FpxF/wLM69uR8GUT/VyFEPo0eB4YfjUddmg2x3K9ebPFf+GKljuClYiPcHxY+jWQfH6njn3fVi5xrTcLMU/0q1RFP3cfhMF+xRSTkw7evPx+7TPwqMU87D/qct6X4yWgLkUZbuP9K9Njwf8IB76LewamjO+J/3vynj3Dr5IY4x+uzS9dXCpOJBjyOLQFhH0RsD7FEBF9HdxJwpsNZx+f7CveNxlAoKJxn2r+M3wvfy4PzXc8wF9XXcRfRP8qujJkhg3lIbf+xr9dn9fMSDTIzAW45bflBLfW34nun8L0T1riBopM9SYKipW7r//ftq3b5/DC1I7zhAXF1cmgpKWlkaFhYVlIi6SoKAgCg8Pt7hUujRQZnJp6XB6btkzfPXMM7UwUITJYYSLCQvSUSylCPc/mhnZ7KRrYbDVK7JSWrqNHaVMQ2k5aGvPiq5poNLICvLZMrJz1DoVpEZWkotChZkPPgK5jTwixtK3YrOTrRpZyQqsSTkFxSK8LlNWHiNMtm0tU0Fav5WzyvdPNQCvTlM8DJfrGdkAEB9aKkiJosjutAuGFVGQTyFdCIilt++/juL0MJNb03q0MnICZa6oipHbfNePpS3sdV/mlUoKDmndXx9UOvSe2UF+/ynRh9Dh0ynA0ZA5V2hxuRIdQMn0wtvF6Ihgf196IOcDqklpZKrRmG6b+orwZHgkBBv306p26Idbifb/QU1CcumT4HeovW8CFQVFULf7vxKRnYZqt2q3T6wm/SFKkkUkBx1qN7xPPhC7ba+i+rfPo/h6NfQVtSjxxfvD71VvscxUPrGC8uJWrVo5vAQHO7cz6tWrF+3evZvOnDljYbqFIOnSpQtddGiekWRth4xSO4RqbXWPTcpTusziubqc8UmxglkxJSVm0Z08O2Il3JDICrBrslXTQCVmQqmep50VI6RnRYmy2a0IUiMrJ3KVzwYpI112hlpFkAOTrepZSTYpYqFlXLi+oWfzVJBa6RMS4Cd63WxMKK3E2Z1fS5Rmdm+kk7nVVr8VDGnDgVulY77iP4tsP0KrktMdNOjTPBeziM4eJFr8mHJwr99TqRDRG0TVrnxXmcZ7cAnR11cSzbtGSQm2HEnUfIh+y8L39Mr3FG8JJld/cTnRN9cq04d9/Mhn7Pv6zW4ZNkPpTIz9FGbYvNZMDIxE9M7/hq8pPNbORG9XQZkxKmhGvErUegxR+xuJxi0guhY+k6rTzIy5CDwr6KGyfft2cY0yZdzGJStLOeMdNmwYtWnThiZOnEjbtm2jv//+mx599FG68847K1fExA2DLfLKskGZRSpImmvha8jx18+vYu5Zwc4y97z9VJSaiikJrK4NFvO8GkiNrCAcXlxo32SrLjvdFCZSVEgXIWWli8E2XRErTdXpy7LiR4CDZ+4FcfNwZoA+5lprsaIOCbRpslVb7R8riNDXXFvGZKtUBIUF+dPYTkr58NdrD5BJXbcjJXXEDB2PGlE58q1gCnb6CaIT60q3u9oYTRMzRoHmZg37KFVX73VTJuSiZf2o1407k0Yjrqs+VAQLJjqjfDtWvU9v8D0f/z1RcKRSjo3pwFjumHeIGioD9nSL1KFXSc/7FD8WqKWmUpr0J12BKOlxF9ENXxNd/ZEyAoCjHowNlKOlQTz33HM0d+5c7W+UJ4MVK1bQgAEDyM/Pj/744w+aPHky9enTh0JCQmj8+PH02muv0UWJmcEW1I0MFn4RiAWZGtCiGr4BdCqjWL8eK3IyZmi06PNi3mulbBpIEQzZPiHCV4J9g8eh+dAYZceJMG5WsoPIinIATykI1Lw6Hh84ZQddvK+8dNuRFbRax3A3Itp/wV8fc62NYYpAmmwR1UA1jpj3oVap7MkqLVvWFdnJFgcxpH18fOjWPo1owaYTdGTfDvIJKqZ0Uyid94txrUrE1eaAKCOGyRUXeALQ5fTCCRHFo2Y6RhrseTvQURTRjaSdYmAjYVgfmqsZCapOarYk2vOzEt3sNEEp0zUCVNPcu04pVcbE6fhrjXl/iNJcPpNoyPPK8FF0h2WYqipWvvzyS3FxRIMGDej335VmThc9WjVOsjhgIGKy42S6ZUWQeUM41QCqS/dabR3iFLGSlUx1I5s69KykFSkRjZrVgjxvDoaQOFJBOKsWFUH1HKaBzuRBrBR77leRB0lMJUUX1/RT1LRWXNnIihxiGFidDp3P18dcaz1MEdGTghyKCA0VYg3vffepDMVgqabHNqQq27yTHp1jzallZbKNaiI6tN7csyGlbfxXPOWAqT7dN7C5+30knKHzJEWooHtrv0cVwytAW3x8Tt74Dd61Skl7IdKJ74U3QIQFF2+AJm4y5WU0EC16pZcYxgN4NpCeyGocdFPNS7edhtH8ItVKza16Gg7NBJMWWbHuoquuw9nCYH3FkixfFl1sZWTFdlQnMVdJxdSN1OkABnMlyDilRUwg0rRx7Vqr/dIeKw67bboCzjoRmreXCoJPSY22Hc0LF8beVnFutHovL6omTbantmp3P3NFGxrXSBFtoXXj6YFBasrKKDCjBH4NlInOvYJoLyYA+xB1u528BoQzOtt6S6gwDGM4LFb0BEOkgiLMep3IiiCzyEqBAeZWW4LJTKyUGaaoRjeS8wP0FUvS4JuZrHlWkAbLKSgq9S+oQikhUwnqSVGj21yk9JOiQRfG3SMbonWyRbQJOjKoBp1T+5/Iniz6+lbUVJC5yTY7VfQAQROqVIoQ82sM8YzU66Zcq91iASJmvaopA+niO/XyTtOrYS8p4g0RRtBzsveiDgzDVElYrOhNNbXvQHaK48gKGsLJVvd69FixjqxkJmvlw6hG0gSD2TqcyQvQVyxpQilJ9IGQg8a06csiqqL4Rg5nKAdNjHnXBTEjSImsoMJHRle08mW1EijHX/GKoGQZJlTdkKkgtVOsjKzsPHVBM9dm+tWgYvJzvgW6O34GIM2tkqRdpakib4BtcdcKosseIxr7oSJeGIZhPIDFit7AaAqyU7UKG4uW+6pnpSQwjFKzlDP8OnpGVsxa7mO0eXX1gGxRvqyKlRPZfvq1+reKrJgLEa0iSDaE8wuihAuKeHJ6Aq3TkZVTFimeIykysqKIlTSTkn5pplYM6YZmslXTQPUiRKUThFryKaVRW2Kxkirq704jLWdAF1eQvKe0nw2mUWecUqpiZMWQN0CTuEHPEHUcp6RlGIZhPID3InoTpoqVnFQtspKUkUdFxSUWQiHXRzlIozkYUha6R1aQelAnGltEd8z6vBzNVMSKLiZXq8gKKFMRpKafTMHhmniqX0Nvz8pJi7Jk68gKGsKB5rE6ixUZWVHTQIgq9VYbs+07eEBcny6OFJOWOzUwKLICz1CNRopf5Ph6y5QQKkaCdH7PDMMwXoLFit6gdBhkn1OrbHxEl9qUzHwLz0oWhWhRFV27NEqxpIkVqy62MrqBA3m6slyZLtKvg66MrFiLFeVsvygwXHSQRbfZWp72WLEbWZHly1kWkZWTecr2QKWMrmhpIEWsgFHtFPF25rjSLO6UKYYGtapl7BwS2csETcrMxUr9HsYtk2EYxmBYrBgYWYGZEUPlLCIbahoooyRIf7+KWL70zJwVV6XTl+XyFbFk8guiU1kl+kZWrNJAMrKSaCVW8nyraTOBdDN8mnlW4KwtbQyXrQxTVCMrCdnKdm8Ra1AaCN2D1QjS5W1rizRccK4SaTpjiqJxPXTq/mmPViMtu8gmrFL+ZrHCMMxFDIsVAz0rFmkYWRGkdrC9oPY40bUSyFysoPqlpLhsYzhVrJQEVtPSUKie0TUNBKFUXFQ2DaRGdbJ8wvRNAZl30EXZeM55ahgVKtrNYw6PmLCsRlaOq632m9XSObISHF667dXyZQw1fGJEK6rjo1QiNWjcgjoblQKSNOqndJGVM3JS9ip+FTkVmWEY5iKExYpRaSC1VFaWBVtHVs6qHVylmNCNEHSaRLTCJA7QMmpiHVkp8FMEAx7XLQ0FoYYDI5adfdZCrIhhempkBZ1Uda0EAmhcFab6dTJOitJg2SVWlA+rTeEuUDXxmchKJV0xm74sQbfYjuHKNh83tA8ZDrZD++uV24sfVa5bDOcOpAzDXNSwWNGbMCuxInudWImF5Hx/LRWie8tx2Qwr+2zZYYZqiiLXr5r+YglVH1pTOqXdP7I8+UUldBaeHVWsnCsO0T+yYsO3opUPn0y3qAYyzOBqNSNIUFJMQdlKGsivhjod2mj6PaIMvAMYgeCtbqcMwzAGwWLF4DSQ7A57SooF1WB7KlcVK3pHVqx8KzKygp4uwrsh5wKZQowRS5pYSRENyaQYEqkgq7lAupUt2/KtmDVm24VeJ6pnJY2qUacGOre6l0Q3KWOyVUYvFBP5+pd6eowGou325Urp8K2LS+cGMQzDXKSwWDHMYHtOGD0xzNCii6yaBjqp9jipp3d0wUqsoNoG1SeYcIxusjKyk24K1tdca2eYo4yemIuVxBxFrDSK1nnYmxxoiN4iGMKrzt85cDJF8bIgDWSqRp2NaspmIw0k10V4anyVz9wrYLAemrLV7+69ZTIMwxgEixWjPCuYPpyXrhloNc+INNgWB+kz7bgcwQTvBrq1aoJBG2KoihW9IysYHmdWvmxhspWRlcJgkR7SbZCgncgKypdFp9oiJZpUaPKjooAwaqv3xGNJzVbK9dkDSiUOOK80hKMIg6uAGIZhqjAsVoyYDxSgHoRzzmlpELS8F0P1VLGQZQqm2OrBoteI7liVL8sZOGJOjpoGOlsYpH/3XBuRlQbRsnw5VxMrGaZQEVUJDtA50iArglTPCozDQ9vEUg2fTM1cO6BFLAX5+xnnWfELVFJ9F44r96UqDeEoprkxy2QYhrkEYLFisMk2PNifwgL9SsuH1TQQmsLp7hexI1YaxSiC4di5bDODb4AxvhE7kRXRnE0VK5kUqn8HWfM0kNrFFozr3oBq+CjbPM1UTVTnGAbMzTK6gpb3Msoi0zIMwzCMW7BYMdhki7P7hqo342hKppYGgsFVt4nD5XSxbRxTzSyyooiVjJIQCg300+YX6YbWGC7JwuS690wGmcwiK8317nNikQY6o6VhUL58VzfFuxIaWYv6NFOFpFHExluKlVSley3FtDB2uQzDMFUYFisGd7E1H5p3PClVmzqcRcFal1Xj00CKKEpIzdHSQJkUIob96drq32KQYoq4ahQdKmYfFRSVUHGuKlYojFrEGSBWqtcm8vFV/ELoJKvSv55qZq5TV//3aw1m8ICknUTFhdqsII6sMAzDuA+LFS+UL0uxcjpZOYAWky/lUhA195JYkVU3x1KzyaRGVjJNIfpPHrZIAyWJaiiIgw71ENkwkY8qlBBZ6WxE+TDSMFIsqb4VZV1SLLeLkcgy4ZOblX4rJUVE6BYsoz4MwzCMy7BY8UJjOEQwQHKqIl6yRdmwDzXXe5ietnxLsQRfir+vD+UWFlNh9gXNM2OIWJFpoOICrWssSohDKJ/8TEXK6oXX0L9k2roxnJlvRfpntHEARosVNGKDWNvxbWlqyOiIDsMwTBWGxYqhk5ctIyvnzp/TUkCoAqpvmMFWFSuIZBTmieZsUhgV5iipmCxTqCaidG/3LjvoqiIBk4bDSZkPVGTypX5tGhqXjpERDPPIijpYUWtYZ3Q1WMNeyu21byjXjbzQZp9hGKYKw2LFyDSQ6llBNQ4iG76FpebaJjFhogeKIQRHKh1TzdZB9hYpyVNLpynEuH4jVibb9vUiqEcdZX0yKJRu6tWIDEOrCDJPA0mx4qUOsm2utPy7pToJmWEYhnELFitGd7ElEn092taNoGqkNIbLpmCtu6ohIGph5VvpqnZt9VXb/QdWizCudFqKAtUrgijK9GGKiAgNj6YWRqW/LCIrJ8t6VqSfxWg6jCeq0Vi53WQAUd0u3lkuwzBMFUU9/WaMMdgqYgX0bBxFyafytIZwPZpgOrLBginzjJaK6ts8hvyomMJ88sXf7ZrUNy4VI70h8G2oRPkqQi24moEizcKzokZWMO05y4tpIBAYSnTnP0Qn1hM1HcR+FYZhGA/hyIqhBltFKIDRHepQNR/lgJ3jG0qDWxucktAiK6naDKJhzUrb24/pbmDfDy0NpIoEoPZY0aYBG0W4nA+kihWYfFHK7E2xAkKjiFqNUjwsDMMwjEewWDEyslKYQ1SQrTVHG9xEEQst6tWm8GClg6xhWKWBwEsjlO6txb6B1LVpbeOWbSOyQvleEisysoJlo8+J6psRpl+YfxmGYZiLDhYrRhBUncgvyCKyAQY2UrrFNqrjBaOnDbES7aekofyCDTLWVobISlgtpXTYVKKkwbQUkJf8KgzDMIzusFgx3OBaKlZkq30KMqgZnINeK14VDJrB1kys5Cr9XSjI4GX7+hLVaFTa6l56V7zRY4VhGIYxBBYrXvStyCGGIvJSAZEVylMFQ4jBJlctDWQmVtTKKE1EGUktdZjg2f1EaceU21FqdQ7DMAxz0cFixZtiQW03T4HVvViRdLZsdAN9WLwRWcH7LcixXA9vtLyv2Vq5TtlXKlYiDZy2zDAMwxgKi5UKiWyoHV6NxFYaSm1/b/jyETkKCLU02WpixcuRlXPqIEGZGmIYhmEuOliseNMzoomFSC8u/6zSa8SbaSB4dmSZsDTZyu3gzchK8l4lugJi2xq/XIZhGMYQWKx4M7KSm+7FyIoqVorzidRJy15LA5lX38C3ArGkiRUvRFaimxH5BxMVZhMV5RIFhBFFNTF+uQzDMIwhsFjxqlhJ855YCAxTDtLm6+CtyAqoblYRVKCKBm9FVvwDiRr1Lf27fnciXz/jl8swDMMYAosVww2uakShuIhIncvjlciKrVRURURW0JRNiiX4WCCivEHHm8xuj/fOMhmGYRhD4NlA3hIKsseJN/qcaOtQk+jC8dLyaW8afM0jK95MAUnaXqWkv9C1tt113lsuwzAMozssVryRBoJnQ6aAgsKJ/PwrJhXlTYOv1sU2qVQsyWiTN4DJt8st3lsewzAMYxicBjIKGUXAED1EVfK8mIKxXgdNrFSQwdabPVYYhmGYKgeLFaPAtF3Z/A1pEG9GNWylohDdqQiDLSIrGact72MYhmEYF2Cx4q3IhoxqeFWsmKWBUJFTUuS9yEpkA+UaKaCkXcptbszGMAzDuAGLFW+IBRywvdU91tbyhVg6r9z2C/RORQ5MxDIVdGiZcs0t7xmGYRg3YLFiJLKLK9IgFelZyUop7SQL4yvMp94gprlyXVygXNfgYYIMwzBMJRIrx44do9tvv50aN25MISEh1LRpU3r++eepoEA9cKmcOHGCRo8eTWFhYRQTE0MPPvhgmedctMhUyIUTRDnnvR9ZCa+rXKefKp3RI6t0vEHdzqW3ff2JYtt4b9kMwzBMlcGwGtr9+/dTSUkJffTRR9SsWTPavXs33XnnnZSdnU2vvfaaeE5xcTGNGjWKatasSWvXrqVz587RLbfcQiaTid555x2qMmIlPZHIx8/7YiGinnKNZnSpB72//Eb9iP59S7kdG6+YjhmGYRimsoiVyy+/XFwkTZo0oQMHDtAHH3ygiZVly5bR3r17KTExkerUqSPue/3112nSpEk0Y8YMCg8Pp4uaiPrK9YVEZVYNqK76OLwBvCmh0UQ554hOblGX70Wx0mQAUZ1ORKe3EfV92HvLZRiGYaoUXvWspKenU1RUlPb3+vXrKT4+XhMqYPjw4ZSfn09btqgH16qSBso8o9yuXrti1iFhtWVqyBv4BRDd8hvRff8RtR3rveUyDMMwVQqvdbA9cuSISO0gciJJSkqi2FjLM/0aNWpQYGCgeMwWEDK4SDIyMqjSYl6+K7u4ejOyAmJaKJENOZcouql3lx9UnahmS+8uk2EYhrm0IyvTp08nHx8fh5fNmzdb/J/Tp0+LlNB1111Hd9xxh8VjeL418KzYuh/MmjWLIiIitEv9+mqqpTKCnipory/x8SUKL40ieQVroRDVxLvLZxiGYRhvR1buv/9+uvHGGx0+p1GjRhZCZeDAgdSrVy/6+OOPLZ4XFxdHGzdutLgvLS2NCgsLy0RcJE899RRNnTrVIrJSqQULeosky6ZojZXBet4kroNlRU50M+8un2EYhmG8LVZQXoyLM5w6dUoIlS5dutAXX3xBvr6WgRwIGBhpz5w5Q7Vr19ZMt0FBQeL/2AKP4XLRULdTqVipiHRIoz6lt+t1905DOIZhGIa5GAy2iKgMGDBARD1Q/XP27FnhQzH3ogwbNozatGlDEydOpG3bttHff/9Njz76qChxvugrgczLd82rY7wNyoWv/pSo1RVEw/7n/eUzDMMwTGU12CJCcvjwYXGpV0/t92HmSQF+fn70xx9/0OTJk6lPnz6iedz48eO10uYqQduriPb/QXThOFEHx+kzw2h/nXJhGIZhmIsQH5NUDhcp8KzAaIuy6CoTjWEYhmGYKk6GC8dvng3EMAzDMEylhsUKwzAMwzCVGhYrDMMwDMNUalisMAzDMAxTqWGxwjAMwzBMpYbFCsMwDMMwlRoWKwzDMAzDVGpYrDAMwzAMU6lhscIwDMMwTKWGxQrDMAzDMJUaFisMwzAMw1RqWKwwDMMwDFOpYbHCMAzDMEylhsUKwzAMwzCVGn+6yDGZTNqoaYZhGIZhLg7kcVsex6u0WMnMzBTX9evXr+hVYRiGYRjGjeN4RESEw+f4mJyRNJWYkpISOn36NFWvXp18fHx0V30QQYmJiRQeHq7razO8nb0Nf595O1cl+Pt88W9ryA8IlTp16pCvr2/VjqzgDdarV8/QZeDDYbFiPLydvQNvZ97OVQn+Pl/c27q8iIqEDbYMwzAMw1RqWKwwDMMwDFOpYbHigKCgIHr++efFNWMcvJ29A29n3s5VCf4+X1rb+qI32DIMwzAMU7XhyArDMAzDMJUaFisMwzAMw1RqWKwwDMMwDFOpYbHCMAzDMEylhsWKHd5//31q3LgxBQcHU5cuXWjNmjXe/WSqOLNmzaJu3bqJzsO1atWisWPH0oEDByp6tS6J7Y5Oz1OmTKnoVamSnDp1iiZMmEDR0dEUGhpKHTt2pC1btlT0alUpioqK6JlnnhH755CQEGrSpAm9+OKLops54z6rV6+m0aNHi26y2EcsWrTI4nHU4kyfPl08ju0+YMAA2rNnD3kLFis2+O6778TOfNq0abRt2zbq168fjRgxgk6cOOG1D6aqs2rVKrrvvvtow4YNtHz5crEDGjZsGGVnZ1f0qlVZNm3aRB9//DG1b9++olelSpKWlkZ9+vShgIAAWrJkCe3du5def/11ioyMrOhVq1K88sor9OGHH9K7775L+/bto9mzZ9Orr75K77zzTkWv2kVNdnY2dejQQWxXW2A7z5kzRzyOfUlcXBwNHTpUm89nOChdZizp3r276Z577rG4r1WrVqYnn3ySN5VBpKSkoITetGrVKt7GBpCZmWlq3ry5afny5ab+/fubHnroId7OOvPEE0+Y+vbty9vVYEaNGmW67bbbLO67+uqrTRMmTOBtrxPYF//888/a3yUlJaa4uDjTyy+/rN2Xl5dnioiIMH344Ycmb8CRFSsKCgpE2BZn+ebg73Xr1nlHQV6CpKeni+uoqKiKXpUqCaJYo0aNoiFDhlT0qlRZfv31V+ratStdd911IrXZqVMn+uSTTyp6taocffv2pb///psOHjwo/t6xYwetXbuWRo4cWdGrVmVJSEigpKQki+MiGsT179/fa8fFi36Qod6kpqZScXExxcbGWtyPv/FhMfoDIT916lSxE4qPj+dNrDMLFiygrVu3itAtYxxHjx6lDz74QHyXn376afrvv//owQcfFDv1m2++mTe9TjzxxBPi5KZVq1bk5+cn9tczZsygcePG8TY2CHnss3VcPH78OHkDFit2gMHI+oBqfR+jD/fffz/t3LlTnB0x+oKR7g899BAtW7ZMmMUZ44DBE5GVmTNnir8RWYEBEQKGxYq+nsJ58+bR/PnzqW3btrR9+3bhMYTx85ZbbtFxSUxlOi6yWLEiJiZGqHXrKEpKSkoZVcl4zgMPPCDC53Ci16tXjzepziClie8uKtokOBPF9oZRLj8/X3zfGc+pXbs2tWnTxuK+1q1b08KFC3nz6shjjz1GTz75JN14443i73bt2omze1S6sVgxBphpAY6L+J5XxHGRPStWBAYGih07KlTMwd+9e/f2yodyKQBFjojKTz/9RP/8848oQ2T0Z/DgwbRr1y5x9ikvOPu/6aabxG0WKvqBSiDr8nv4Kho2bKjjUpicnBzy9bU8dOF7zKXLxoH9MwSL+XER/k5UdXrruMiRFRsg5zxx4kSxU+/Vq5co90TZ8j333OOVD+VSMXwijPvLL7+IXisykhURESFq+Bl9wLa19gGFhYWJPiDsD9KXhx9+WOy4kQa6/vrrhWcF+w5cGP1ALxB4VBo0aCDSQGgvgZLa2267jTezB2RlZdHhw4ctTLU4oUHRA7Y1Um34bjdv3lxccBu9hMaPH09ewSs1Rxch7733nqlhw4amwMBAU+fOnbmkVmfw1bN1+eKLL/ReFGMFly4bx2+//WaKj483BQUFiXYHH3/8MX//dCYjI0OU3jdo0MAUHBxsatKkiWnatGmm/Px83tYesGLFCpv75FtuuUUrX37++edFCTO+35dddplp165dJm/hg3+8I4sYhmEYhmFchz0rDMMwDMNUalisMAzDMAxTqWGxwjAMwzBMpYbFCsMwDMMwlRoWKwzDMAzDVGpYrDAMwzAMU6lhscIwDMMwTKWGxQrDMAzDMJUaFisMwxjOgAEDRLtuhmEYd+AOtgzD6C5MOnbsSG+++aZ23/nz5ykgIEDMKvI2EEnHjh2jRYsWeX3ZDMPoA0dWGIYxHAxDqwihAjZt2kTdu3evkGUzDKMPLFYYhtGNSZMmibHxb731Fvn4+IgLohrWaSD8/cADD4j7atSoQbH/b++OXVKNwjiOP+ClhoKGiogIyqaEiiYpAidxTnBTRLChMWhLGkoI/AcapYYgaIsQF5ciqaHAqD+gwSKcgkIS5fI80KUuChfue+vI/X7gBd+Xc3wPvMuPc57DGRmx04lfXl4klUpZsJmampJCofCrjx5jlsvlxO/328ncc3NzcnR01HEsjUZDenp65Pz8XDY2NmwswWCQrw10IcIKAM9oSFlYWJCVlRV5eHiwa3x8vG3bvb09GRoaksvLSwsuq6urEovFZHFxUa6uriQSiUgikZDX11drn8lkJJ/Py+7urtze3sra2prE43ELR+34fD45Ozuz33rUvY6lWCzytYEuRM0KgH9es/L7M71vNptyenpq9/p7YGBAotGo7O/v27PHx0cZHR2VcrksMzMzFmxKpZKFoXfpdNrCzMHBQduxaJ2KtqnVanxloIv9+O4BAPg/zc7OfpoFGRwctFDyTpeG1NPTk9zd3Um9XpdwOPzpP97e3mR+fr7jO66vr225CEB3I6wA+Ba6O+gjrSn5+EzvVavVskudnJzI2NjYp369vb0d36HLP4QVoPsRVgB4SotadVnHS4FAwELJ/f29hEKhP+53c3Mjy8vLno4FwNcjrADw1MTEhFxcXNguoP7+ftu2/Ld0d9D6+roV1eosy9LSkjw/P9tOH31HMpls20/bVioVqVar0tfXZ3UxALoPu4EAeEpDhdag6GzI8PCwzYZ4YXt7WzY3N2VnZ0emp6dtt9Dx8bFMTk527JPNZuXw8NCWjra2tjwZB4Cvx24gAADgNGZWAACA0wgrAADAaYQVAADgNMIKAABwGmEFAAA4jbACAACcRlgBAABOI6wAAACnEVYAAIDTCCsAAMBphBUAAOA0wgoAABCX/QT2Oe42MplDGQAAAABJRU5ErkJggg==", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "times, uNum = solve(1000, \"BE\")\n", "plt.plot(times, uNum[:, 0], label=\"$x(t)$\")\n", "plt.plot(times, uNum[:, 1], label=\"$y(t)$\")\n", "plt.plot(times, uNum[:, 2], label=\"$z(t)$\")\n", "plt.legend(); plt.xlabel(\"time $t$\"); plt.title(\"Using Backward Euler and 1000 time-steps\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Using the internal RK solver\n", "\n", "Such generic Runge-Kutta solver is also available in `qmat` in the `qmat.solvers.generic.CoeffSolver` class, \n", "and uses a more efficient implementation than the one showed above, requiring less evaluations of $f(u,t)$. \n", "\n", "This implementation is based on a `DiffOp` class (differential operator) \n", "that implements the $f(u,t)$ evaluation using the following template :" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "from qmat.solvers.generic import DiffOp\n", "\n", "class Yoodlidoo(DiffOp):\n", " def __init__(self, params=\"value\"):\n", " # use some initialization parameters\n", " u0 = ... # define your initial vector\n", " super().__init__(u0)\n", "\n", " def evalF(self, u, t, out:np.ndarray):\n", " r\"\"\"\n", " Evaluate :math:`f(u,t)` and store the result into `out`.\n", "\n", " Parameters\n", " ----------\n", " u : np.ndarray\n", " Input solution for the evaluation.\n", " t : float\n", " Time for the evaluation.\n", " out : np.ndarray\n", " Output array in which is stored the evaluation.\n", " \"\"\"\n", " out[:] = ... # put the result into out" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that the `evalF` function **does not return the result**, \n", "but rather **put the result of the evaluation into the** `out` **array**.\n", "This allows a memory efficient implementation of the different solvers that avoids any implicit data copy.\n", "\n", "> 🔔 The `DiffOp` base class also provide a default `fSolve` method, so you don't need to implement it.\n", "\n", "Some differential operators are already provided in `qmat` ...\n", "for example, to solve the non-perturbed Lorenz system using a Runge-Kutta approach :" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from qmat import genQCoeffs\n", "from qmat.solvers.generic import CoeffSolver\n", "from qmat.solvers.generic.diffops import Lorenz\n", "\n", "scheme = \"RK4\"\n", "nSteps = 1000\n", "\n", "solver = CoeffSolver(Lorenz(), tEnd=10, nSteps=nSteps)\n", "\n", "nodes, weights, Q = genQCoeffs(scheme)\n", "uNum = solver.solve(Q, weights)\n", "\n", "plt.plot(solver.times, uNum[:, 0], label=\"$x(t)$\")\n", "plt.plot(solver.times, uNum[:, 1], label=\"$y(t)$\")\n", "plt.plot(solver.times, uNum[:, 2], label=\"$z(t)$\")\n", "plt.legend(); plt.xlabel(\"Time $t$\"); plt.title(f\"Using {scheme} and {nSteps} time-steps\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Eventually, you can also add your own differential operator into `qmat`, see the [short developer guide](../devdoc/addDiffOp.md) on this aspect ... \n", "\n", "> 📣 This Runge-Kutta solver does not work if $Q$ is a dense matrix.\n", "> In that case, we can eventually use the Spectral Deferred Correction approach without too much additional code,\n", "> which is the topic of the [next advanced tutorial ...](./13_nonLinearSDC.ipynb)" ] } ], "metadata": { "language_info": { "name": "python" } }, "nbformat": 4, "nbformat_minor": 2 }