{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Denoising Diffusion Model\n", "\n", "This numerical tours explains denoising diffusion model on a simple 1-D example. The density to sample from is a mixture of Gaussian, so that the diffused densities can be computed in closed form.\n", "\n", "To learn more about diffiusion model, you can have a look at [Valentin de Bortoli courses's slides](https://vdeborto.github.io/project/generative_modeling/). I have written [a short mathematical memo here](https://mathematical-tours.github.io/book-sources/optim-ml/OptimML-DiffusionModels.pdf)." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import torch\n", "import torch.nn as nn\n", "import matplotlib.pyplot as plt\n", "import numpy as np" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Mixture of Gaussians\n", "In order to be able to have closed form formula for the flows simulated bellow, we consider 1-D mixtures of Gaussians $\\sum_i a_i \\mathcal{N}(\\mu_i,\\sigma_i^2)$ parameterized by $(a,\\mu,\\sigma)$.\n", "We define their density functions and a sampling operator." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "def gauss(x,m,s): return 1/( torch.sqrt( 2*torch.tensor(torch.pi) ) * s ) * torch.exp( -(x-m)**2 / (2*s**2) )\n", "def gaus_mixture(x,mu,sigma,a):\n", " y = x*0\n", " for i in range(len(mu)):\n", " y = y + a[i] * gauss(x,mu[i],sigma[i])\n", " return y\n", "def sample_mixture(P, mu,sigma,a):\n", " a1 = np.array( a/torch.sum(a) )\n", " I = np.random.choice( np.arange(0, len(a)), size=(P,1), p=a1 )\n", " return ( mu[I] + torch.randn((P,1))*sigma[I] ).flatten()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Define also helpers for the display of histograms and trajectories." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "fs = (6, 3) # size of figures for display\n", "xmax = 3\n", "nbins = 200\n", "def display_histogram(X0):\n", " P = len(X0)\n", " h0,b = torch.histogram(X0.flatten(), bins=nbins, range=[-xmax, xmax])\n", " plt.bar( torch.linspace(-xmax,xmax,nbins), h0/P * nbins/(2*xmax), width=2*xmax/(nbins-1), align='center', color='red')\n", "def display_trajectories(Y, m = 1000, alpha=.3, linewidth=.2): # m=number of trajectories to display\n", " disp_ind = torch.round( torch.linspace(0,P-1,m) ).type(torch.int32)\n", " I = torch.argsort(Y[:,-1])\n", " Y = Y[I,:]\n", " for i in range(m):\n", " k = disp_ind[i]\n", " s = k/(P-1)\n", " plt.plot( torch.linspace(0,T,N), Y[k,:], color=[s.item(),0,1-s.item()], alpha=alpha, linewidth=linewidth )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Define a measure $\\rho_0(x)$ defined as a mixture and display." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "mu = torch.tensor([-.7, 0, .5])*3 # mean\n", "sigma = torch.tensor([.02, .05, .03])*9 # std\n", "a = torch.tensor([2, 3, 2]) # weight, should sum to 1\n", "a = a/torch.sum(a)\n", "def rho0(x): return gaus_mixture(x,mu,sigma,a)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Evaluate the density on a grid and display it." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = torch.linspace(-xmax,xmax,1000)\n", "plt.figure(figsize=fs)\n", "plt.fill_between(x,rho0(x));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Langevin sampling" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To sample from a density $\\rho_0(x)$, Langevin diffusion performs a gradient descent on the negative log-density, which reads, for a step size $\\tau>0$, \n", "$$\n", " X_{k+1} := X_k + \\tau \\eta_0(X_k) + \\sqrt{2\\tau}W_k\n", "$$ \n", "where the $W_{k} \\sim \\mathcal{N}(0,\\text{Id})$ are i.d.d. Gaussian white noise, and where the ``non-smoothed'' (we will introduced its smoothed version later) score reads\n", "$$\n", " \\eta_0(x) := \\nabla \\log \\rho_0(x) = \\frac{\\nabla \\rho_0(x)}{\\rho_0(x)}.\n", "$$\n", "\n", "When $\\tau \\rightarrow 0$, this corresponds to the following Langevin SDE\n", "$$\n", " d X_t = \\eta_0(X_t) d t + \\sqrt{2\\tau} d W_t\n", "$$\n", "where $W_t$ is a Wiener process. \n", "\n", "One can show that the law of $X_T$ converges in law toward $\\rho_0$.\n", "\n", "We first compute and display this score." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def eta0(x):\n", " x1 = x.detach().clone()\n", " x1.requires_grad = True\n", " L = torch.sum( rho0(x1) )\n", " L.backward()\n", " return x1.grad / rho0(x)\n", "plt.figure(figsize=fs)\n", "plt.plot(x,rho0(x).detach().numpy(), label='$\\\\rho_0$' )\n", "plt.plot(x,eta0(x).detach().numpy() /40, label='$\\\\eta_0$')\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Sample $Z_0$ from the initial density at time $t=0$, which is uniform on $[-w/2,w/2]$. " ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "P = 50000 # number of particles\n", "w = 6 # support of the indicator\n", "Z0 = w*torch.rand((P,))-w/2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Run the recursion of Langevin." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "T = 10 # final time\n", "N = 2500 # number of steps\n", "tau = T / N # step size\n", "Z = torch.zeros((P,N))\n", "Z[:,0] = Z0\n", "for i in range(N-1):\n", " Z[:,i+1] = Z[:,i] + tau * eta0(Z[:,i]) + torch.sqrt(2 * torch.tensor(tau)) * torch.randn((P,))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display evolving empirical densities by showing the histograms of the samples." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "disp_ind = ( torch.tensor([0, .001, .005, .01, .99])*N ).type(torch.int32)\n", "for i in range(len(disp_ind)):\n", " k = disp_ind[i]\n", " plt.subplot(len(disp_ind),1,i+1)\n", " display_histogram(Z[:,k])\n", " plt.fill_between(x, rho0(x).detach().numpy(), color=[0,0,1,.25] )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display sample path $t \\mapsto X_t$." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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dKGStmT5Jny/9cwRY8EIXx/vAUHzxPEa2i59KCoRsMJ8g2PNxa8jHRhOsbWuk9cs9+WfXWirMZ/DSTdWQvP2EZhETnW5I333RcJHHFwQ/8fpLS2w/iDg12aenLD7Ji3sppERNlzhaolcRpmqwSYqdTp+/b9ZSnc1x6xwrZWtMNxJ7evYsrPuJ4zLmhTnUFPKF+S2zimRZt4zysiXympdElz4rD8SUJfXdR5hv/wl68aFjUFcfRqQ+ixqeNQahGtAaXbURQucXf/5FMqeFbP3ic9JJ/kyqV6d5SwS1luJsjq0aytEabtzE1Ao1b8dpx230T91/3HIJPrh/jtNGJiZzincetvdfqWcTXU8XHysrLgKfzk/extHtGIWAYpaST5K2TPT7uBD2AwPxZffk6m9aGl79mR2CvT47N7rPnbvKPvy+eN7OY8d32f/afntcXUOvh7hxHXfQAd1GGITgmeOVXEQ43ou8ok+CXSwwl2PU+1fRrQ/u3eXlj8TA/7PgK2kMWM/F7h+yMfsUm4p6umH1JKKcbNDXb7H+/3wTPVvSZA3RozlOXWGsINwN0VndEsu+L1yk8vq5SWGtxfUEy5OUy8efPZRktHlB/0CvWkvc73r0D8LWSheC5CIhPOi3572aSHKdYo1pqwVWOfUqw9/pglKY6sOXRyY15SxBjZ/3TD4rylWB+cg9eFlJU3SeoCpFcrIiP56hiwqv98maAfr4rCWKGYsIvA+taEFrBFzxHPJl2VrsDz7d8zbaEF2kyEqRbjRNqSkyw2LcoJVBVR+O/fG315SJorlc4AYOfr8dr9/z0crghh5BP8C+ZEO21mLKBufaPvv/jzewyuDc/PjStg+c1Bee98eVsCrdMpqVem7h+P48bDbLqeJPTwMVjy/RZdOWpeXtRlpeLZJqtmx1Nq7yvDrJkdHL5/FH79/L0N6XH5xcaOsGfA9bN8iTC+zFCK5dg9dfw1xtoDqvUJuk1RpoGqzSrbbArVvtPfqUagJ9MX5BVKnJ5QsbcX6xpkzVs8qGj4vevcwYsNa+GEnMC9RVG3X5+BQ1X2GtpantMyrPZ1LdrCocVdP9+i101T4vlMJePs8DsBZu/fTwxfFKhSkqdJpTn4xpZmvq8YrL335AfTJGWhfteji++0yJ0qwjAMRwgBgOnq2FdVwh7z3BnI9QJ6NnBFxrLFZr1DL+eC6EEHi7A+xHnKxqGtG/OURJ89x6a41BLqIXrvEZPiD7XW3euA79g86z7/hocChd1UTzVqEwvYjQyrRRiPkCEfiwWOB2Q9z+8+XNupZkowjhOj+QOqrdRNjpHHM+ao3XD96LyeRLlSKGz9kY+PVf/3V+6Zd+ieFwyPXr1/k7f+fv8PDhw8/zlJ8JwvMITUkV1zRJyeC1PTqBZuf0PZJJRjVPcTsBxlisATwXow3CE5Rv32P1YI4pn6/5/8CC/QDywVO80KW7F5LMnl8Iy9nH57vHd5aY89Fzv/tAC8D1BLYokbVm9/aQ5P4lbuC2C9AHaQ2paPKGJiqwxtK5dqXg9+Qp2ghWT1tykWoU6/Mc2duhKj8y7pdUKZi8wJTtovvsd8o8d73PPEfHab0ta6nTGmssni+ozqbwMS+NURotNbKSiH4PWzfoWlFM0ue5AcZgL8et99EoylX5mUrHVK1xPIdsUaKUZTPK8HwBxlCuy+cYy0KArBTVIqF/0MHr+lhjGNwYtJu7JwgGAUbqZ4I2H6QZiocX5KezdkyXI+pl0nqpHxPOtBZc30E9fPzc7z/YdJdPow+PVQo9mWE3EZd3o+dKvcrJBlm291+vNji+SzJuv8MaQ/P2nefv91X0yFpwrljW+D4EPum69Qzl3UfIszHejWtg2nzqx4V4rXlxswOeGYvNKqWZfpgm+LQ6bb1qQ8TetV2cIm8rSVynnVt5gTyfPFtERV1hpaIaLcEYdKMJ9vq4u8MPPdMrqOxFnQ67Xr+Q69HKvrDAW2PR0qCXa9TdBxipkWeX7YJu7YckOW3AEeSL9hpNXqAfPXmB8GqlQlWtAYbW6MkcYyBPDJ3wKqz+WXTyiwJ7eo7jiLYGvlEgFfb7NhZjIBCS9P/+9oe/k4ryZIqVkvT330EnObaWNFlDVTqYwRAbhFhtETdvUL1/3H6uqtv7GAY4w/4z77aOq9aoqRu6f/GnEd3wKtTZRiC9a3sgxEurYsrjCRYBWmGqCuE6BMmSg586bIm6H3W0lMKcnL00JQmtcXz59gyEQBay3bDLAnOV/v3oFMhjha4V8/emDA58MBZbNQh1lZYqClhdGecf+aBcJfiqvLqPzxuG1eT5Z/1RiH6vjVotltiqaisWjGn//RGSgn8YfK7GwDe/+U1+9Vd/lT/+4z/mf/7P/4lSir/1t/4W+ZfMoLTaEHz9VYTjwHhK72s3cVYLgmGIlhbxta8hHEEz2yAw4AftfE5yxGu36R12kaM5MimfNXgZvr7/vPX6AfnJWlbnz1+vkZo6b4hn5UfGpFF5RXSZY74vf/vMerQW+7u/i2404U6nzZ1/sJhfuRNWKnRWMXl/gRDQe3W/NZKTFG0E+aT1bJJZhbWCtPRo6g8neXTyYm7XVA3N6biVZ7YWo1tD4KNh0mfX7jjYqm6bDC0yrDb0Djokd05h2EfNVi+EMGUhkYUkP55hOj1s05A8nOAI/XyYV2vwPOzokvx8jVEGedzKzb7MwPogz2iNZX13zOW7Szwf6kwShILBbmvVf/CObyYlqjGUUY3YbK68mpZc5HU9jDL0DzrgiJZXclVu9UGlgZYGEYa43ZD80QSbttdvqxozf1EXQghwQ4/ofqscl19usHVNcTJvvcS8QV/dVzOdY7o99OW0DZV/ZOFo0uaZR6/XMa4nqLMr0tbl5LlwqtWa4niK3KSEN/cJjnbbKExTM32ctRuesujVBrEzoPf//t/ba7x7/LHGgOu71LPNc7l8gHoeI+MPFN8sumraKMMqwrwkbfBsQy0raCRCKVzfaedunOP87E+jrMtmlLdz0RjcG9fQddNGAXTLTfFCB+G7L/IDHEF+8mEkrF6lmNkc+31VNcUkYnXy/EZjVRuNs2WNWW1QcYZYLTGPnlBdLGhWV2kyrTH6I/Xxtt1cknuj59j8VmqKRY7Y34MsR89X1IXGGIs5GzE9Lmg+Q4qx+eYfYsIuNk7o/vTrONZgqopmlVydp3328bxCYKgv5u0mRGsMqCihOZ3Q/for2NW65VysMsyTJ6296QhU2eB6giIz6DjBrCLk8Tnlg/P2fbyaF/k8R+zuUCsHdoZUi4z0O/cp33/aHuN56LMRZvyhUmKVNmwu23y8qRqE6yJHc7zAQVnRciCEg67Vs6ZT+cMR9fEI8crNl96T4//fQ5rHp61hVFftPJjO0Jv0WUTNcQVaGYRo+VNWaXzalCtSIjrhh5t/XYMQberkA55qoxCmrTgzyjxX4dKsPyESHASI128jblyHRmJn85YHk6ZttcyXiM/VGPjN3/xNfuVXfoVvfOMb/OIv/iL/6l/9K87Pz/nTP/3Tz/O0n4rVnxwjwyGmkQSupns0hE0E/QE710P09RvUeUOzSpGblGaTYXCQ64x4raCuqZcxVn/oHQvPfWbJW60R3TasZI2lyb5vkVymJI8XqPojYfZaotOCV97stBbyR/HBIlnXrE4SdFbQudand+1DIY1n5DKpqEdzypM5Sll6N3cQnou9fZumsSSzsl2QiwqtNH7XR31f9YJZrVuv5YOZrxR6vsJqQ3oZk03Sq9pv81xds71iEZvZAlk0VLMYa9qwp60lVeOgNzFy9rzlrKVpPa27j0hlgG7ael+3zjGb+CrtYTF1gwk7qAdPKKMCmVVwdZ9fFrbNRlH7N22plxnCdXAdi+sKXn/NMNxxaOLyOXLS4Ws95OMT3OMnmKomvmg3LiEbTJLi+gLbKJp1+iwcvHz7ApkWNOuU3f/t67gdn2aTI1YrqkK13uHpi+VI1rZ5ynLZLgLp6Qp19wE6K6k2BcWdY85/7ww7n7cLtba4b71OUyhs1WCMpSkk1aZgM21aD/WqmsEai1lvMKsNztGHPA1dSZxOQPreCZ3b1/APhqhVgrfTpZhs0GlBUxmE5+JdP0RXDdG8Rq3jl5ai6kZRT9dkxwtYLq+ehUIXFapsqJdJm8sGTFmTvvMUU9YvrQYx0zm6alphl0a2pMPBoK1z9310nKIbSaH9ttRQa4xwsFnZPgtjiN49QzQ1+fhqcf6IQeB2A9zOhx6zTAqkctGnz/cvaBYx/cPww2tMM+xsjuMKDA4i8NlZHiOwmNEYuYyvBHPaNMVzlSpaAxbqmnRZE80q8kWGzgv6+wHm6Dp0Oniv3mD2L/8rjiMQvsdiVKH1y4nJz+ZP1R6jdvaxiyXC9zFJQvFohEprjNbYxbLVTXl/glxGbSlb2houxb0z6ifn2PkcQcuPkUlOeTxh90DgziaQZzSTNY7nwHCAunMftMLGCU7oEd+7oFykmCSlL3KaUrGoBijVvpNWKuQ6oZku2lr/MGirPK6QzQuyVUW5SFvS8KZCp0VrBOK2z/5K/OuDVKTapOgkw37gVX/02VWaZp0TRxbdKLx3v4dZrllPKlTepnizcYxYzGjyhrDn0ulYyssV0Vn8LKUhAr81XmrVSrZv1pSPR89KU8uH55hN9IzjVT14+mws3y+C9QKyHOu5bVprtW4jv4PBS0m6XyS+UM5AHLcLwMHBwUv/Xtc1SZI89/N5oJrHZA9HFAXgB2yeLBFWowZDskeX0OmSP56QjVPyP76D2+9iJleLQdBFpznq8UlLarry3BzPQaUl0ZN5WxPvulitkbUmXVSszj+0+vLzVetpXFnt1SprJ/s6wovXGD4I+T/vQafnEVUwRGw2qLRi8MYB1feV6lltkJsMV2iefHuFmbVGQRwZyknEatoQvXOKSVsvGN9DZx/U0Ldh/Xo0Jz5Zo2tFfLahzhr8t25jlaaYpqhKPcuVbR4v0WVr7JTf/Dai3wPfR5WKapVRnU5wOx6D2/vgei3R8COhWzOZPssrymUMrsfq0QrZmDY/XlYsLsq2fn8Ww61b+H/xG6h5RHKZsJ61L9BHjQGjTUtcvPggVG5RpcTvulfhRkt2sUFLw2ZcMn3cLo6u53B4KNCzFWBoxitkVGAuLnEXU+x8gbCW8PXrrB6u2mdsLdmqIr0/In8wwt9r1RJ7bx4ReJrs0QQ9maNGU9TVYqavxmrTFBGtMScjrDH0b+22XvO9+2SznHqVoq2g2WTYs3O4cR3R71FcrBCOeMYNKNcFZaapNzlOr11o/a7Xpo8O9p+lFIzSmLLG7QaopMAddPH3BsjpAr/rIbRGaMXstMA6Lt6tI5plwuz+Gvdgr031fBRCsHywJHlw2aZsroxWU0tMWZNdptSlJXo0w8rW+zJSt9oBL1Fxs3lB9mSCrhrqdYaZL8nFAP+n30I3iuW3j2lSiVJtuqwNV7fcBxyH9PGYwe09XGFpkqvIw9VmWs1jTC1xd3rk944xkwn25AzVaIpvfrc9tKpaw7PRrL578izNcfnf3sHtd3FcWF+WuDeuEcYLqGqqVdZ6mI4gfTSmSWvqaYQbXHE6rgwW0gzZWJajiiffvMRcThCnJ+TfuQe+h3Owh2kUjgtgecVckiawmj9fGjkdfbhhyLfvYM9H2P4QPA8ZZ4BAGhdVlizvzmiymvLxBYOjLs03/6jdcD5wHASYVYJbpNTHI5xBFx3lVCeXBNf2cXohrFZU6xxrwT8cIqfLNir45Bh30EMtE9TZGD1b4vgO1abC7XYAgWkUwWs32rnwB+9h07wVR+p+aAxYY0lHG3Snj1WaOpfossIN3DYDqBT5vVPSB5fP1lorVRuVbOSzKMcHaMmAlmr3JjKpME+eIrMKx3FadUbXpXz3EQLD4rfvIAQ4TYXSDrOZoLjcwGTSrs+eh0FgawlJgtsUFH/8HtmjMdm7T2E6pbPXIXq6wo6nbUoBkItNGxH6SPoIwDYNtiip37kLada+A1q3+0Cv99UxBqy1/MN/+A/5q3/1r/LzP//zLz3m13/919nd3X3289prr30uY+m8do38dIksamSni1ANg5++hWwsejzDXL9J/GTJ7P6KuhGI81Nq6xO+coiZLamfXlA/OCV79wlWG6p1jnAE9SZn9cdPUHcfQuC3HnKl8UIXezEi37QLoLQeWttnxEBTS7LjGfWDY0S8eWYMmI/kGfX/+C3k8TlOt4NvJeU8Rc3XJHdHrSGhDTovWxU4zyPwDLZuMGWDsQJTa5LLlN71IVVpkOcTsCDCELvakE1TikVO71oPVSni9y8w2iLzhvkfPGlLfkzrwSMEqIbq7lOE61CdzXD7HXScIzohIvBbrkDgkj2doYqGzvUd9DpGxznm/Q/rxHWSoyp1lYIQ1GlDk1R4HY/8Yo24dkByf4xOS+rLtm7fOdijcrp0ru9SnbTM5o/mratZy45PTttc3+rJGpXmVFHJ+iTBQ1JME4pFRhprrLbPmsO48zHFJkfs7VDdeYyNYszdB8T3L8nfP6ZZRlgrkGnVelKFwnEdytM54e1D1NvvXV2ZoLPbwfMdrIHmdEz8uE0VTN5r/xVN07KI66oVmlouMVmJszfEKkP0ZImqNJUJcG7dxCIwxuLEcZvXLyTpJEPHGc5iRvTOaWuMAd39kCaXeK+/2oY8gejOeZujdhy8YRdv2B5rsgpXlnS6Ate1qLxBOz4mr0hnOcaC6ITopKCZrTFxgpWS8qqk0Lg+oszIf/c7NOuUchIhlzE6aSsyqnV5VdFi8Pf7+G/dxnxc7walaZ6c08wjRLfL+vESuj1sXuFkEasna4Tv4Qz76LNLCAKcwMVUDeXxFK8X4AjT1scDWFB5SfbgEiM1+WiNnEfY8QR97wEqrwi+/lpL3H16TDNdkU9TVKmeGZhu6OENQnwPXNe0of3r1yBLUP1d1OWMYhKRPhhTzBKqZfasaFeXDeN3FxTTiORkyfQ4Ry02NOsME3Zpak1+uUEtVpiTU4KAtlvn6ClJ0qoRrhcKIxVNqVjdnXxoTE5n2F4fu7vXchDyiirXVI0g+v9+k3qyppon1I/O2H2lB6t1Kw71QR191SA8gTECVekrhdUG6ob+1444eH2ICAJUKRHCtmkx047PlmUbHeh3aeJ2E3S6XazjITynTXtmJWoV4eQZahm30aXvq9wQjqD+kzt4gUvnjeugFCpv8DsuBgdbVuTThO6rB+AIdKNoFhGmVm3fhKuUc7YoKDYVkzsrykWGNlA/Pce3NXoTI4SlqgVOv4dNckRVYcIuAJ4w9F/fo/faQVtdUTU8vKtoJkuy4xl0u9AfwBXPI79YU10uEffu0O2CKiUoDWnacl3G561hWTeoj5Bu7dk55p33kOsMozTVnUdthdjd+5iDgzayFEUvfy++AHxhxsCv/dqv8d577/Fv/+2//dhj/tE/+kfEcfzs5+Li82k/6nX9VgPADzCdPtUixXFAag+ziiiXOcMDn37QUK9LnK+9SRFJBj/zGm7ooB+dUO/fIH67ZbLP//QchGhDldaS3r1gcV5h560xEPY86rigKdsXwdsboJVFRgV61ea+N+9dkI4iOD+D1Rrz6PEz5vjT7yXY4xPKh+cIx8EkbejcKkn6cMLm6Zr1XCHXKbqokdMV9WSDMRZd1FgDUrUbu9PxmD+O6UyOGdwYEk1KxKBHeraiSdswmhgOcfMIqzTZLCP7o3fIFzk6SrGX7aJqyga92uAGLs3ZGKfXebYhN/MIozXdoy75ZdRa5rtD3DRqiVTDD3sN6CQnmySotKTnNdSlQa8TbJLi64Ysluh1TPfGEHk6xhYVZhORTxJsI/HC1uu1xpLNC5pKtYsXIAtFscqZP1ghZnOq0Yo6a+gWazYPF+iipkzb9qYXjyvu/96MKq4olznesEv1rbexT55Q3j1GpRU2z5Hv3Kez32nZx7MCWSoUDvb0FDdNaJ6cf+h5LVd4iym2rtrQ/zIlOl6RPBwTT3JsWVCdzQh+6g0u/uv3rhaPBL1OkKWksxvSu96nznVb5uQ4GOsQyR7JtGT1zjnxrKLJJH6ZYIq6Td9UNfFlTpM97zVVj0etx6M1wfW9dozW4pwd43zvu/Rf3ccJfJhOsf0+cr5ieZwgoxynE9D9qdttw5emLWX7oPbc3+ujFytIUrJ3nxDfOaM6naJWbWpBNa0hsH7nvOUB7u++sCnYsmzzuVJipSZfFNheDxunmLzELpcQdJg9WOGGHjgO+vgUkpTBz72OKdt20vr4FLXYUORX5WyNpng6RdcNVmsc0eahq7MZTalp3A5cP2L2oDXM602J44K/13vGiQmGIV6/0xr+l0sq5YHn0ywS9MPHVElNfO8SfJ96vEbldVuKRktmM5dj6tGCzdM1TuCj0hydlpibtyimKfmqRp5PsbMF4ckDMAbHKF55M2CzUKzninqRsLnI8E8es3h3hDo+a0lnh9dakrO1oC3ruoN6coZaxhQPzqnjktl7czg/w/EE/v7Os3uuLiaYRuO/dpPi8SUGF7TB6/qEMscLXLRwqCtLd+i1HCunrbW36wj9+CkqydtrtxaCgKY2OK5oCcRPRhTvPcG/uY/jt6JUm9P42byzV+JuchFjrMXb6WOVIRnF+L5FjeeYi0tMlLSpgumc+R89opimyKyiTiV6NMHUDbJUjN8eszxN8EOX4RBkbxfzf/w/0ZXCsYb0/bO2yusn36BaF880DTqhxfE8jl7vEp9vUMsIN9lQ0SVZypYI6bqIusLd3yUaZ9hG0pQG+b07dHtg797FPnkCZYkvy7aXgdLP+BTWWvTb71J9513Y26UZr7Bpq5nSPDhB/8nbMBp94aqwH8UXcuZ/8A/+Af/lv/wXfud3fofbt29/7HFhGLKzs/Pcz+eB4VGXHbcgvHmAxUGnJcJzWc8VTVZRv3OfJs4ZyJh0HBEvKpJYs3ywYO96iJqvEL5HlTSoSqFLhRrPKb/1Luv3LxCHe2RPxmTnGy6+NSLouiSL5kN+gayRaQ2+izlvw19OJ6CpDHZnD+fyguZ4hIlTTFEyfpJhrt8gujdC1gq5LmisjzwZU0UlxSxleGsHpxPg7fYxjUIuI8pFjqka0ouIKlVgDOkko9N36H3tOp3rQ9JpTp1JysejZ6x4ayz+6TG6rKnOpig8lr97h2qV45YZxckUcdW8xPFd1CbFCX2s42CSDF02yKTCDx3sJsarMxrjUs1T9P1HqGfEvrZkSCUlqAY9W2KUxY4nKGkRwz6L+ytmT1K8YY/mfIwIfJZvXyCUwh6ftDoKxrSSzKuCOq7a8DgWL49YvjtuF/heiLn7gOJ8STlNWD9d4/kO+TRDFjVhx2F9WZHHiio1xN+6B01D9N1H1GmNcAyObEvLzNOn7Lw6JLmIWb9/SXYZUzwZIxyLyUuKeYrUgqY2iKZuF6NOgO9ZVG1Y352RryrMaIxZbhCBz9nvj5DGRT44buvpT07ZdVKCQUCdVuTjCKMtq8sCnVWc/8EpnJ9RrosrjoXCF22+vXl81vIwFm1kKblMUVKj/+iP23y80s+4ftZYCndA8/AUeTFGScONn92DsEOzKSjiBpk2NCLAWbehYFOU5LM2x+t1PLqHXVRaoouC6tEZcrpGryO8wGkN5NUSqwzxyZrynYeo6QL59PzDqoamQV9OMU+PWyPh6IjNWcr4UUby3snVRqdI7p7TXVySRYo0g+zeWeuhCdBZiVym6PmK5uQSTRumf1ajbm1bmmkNYjEnv3tKU2mU9RB1m+YxUrM6Tekd9UmmJTJv0FHS5q8FqMsJJslZf+8Uu1q1pa95ibqYUF0uqeMSEa0JPNMaAXlOM17SPDpFjlfEFxnaCGxeUcUlZv8axgtwPBe13KCVIZiPEErhHeww8Go8v82Xi/WKzffOqJYZ9bffbaOAi1XLfjcaZrN2wxEh4sYRaQrhk3uo+Rpz6zZumUFZU1Wa7LsPgFboB9+lvHabxUqgRhPUxSV2vkR0QoznYUcTApW3AjxOW06I46KWEaLTQSYV/ZvtOq0bha7klbiPoHh4jjbgXj/ElGUb2dJcVRTk1GcTdFpQzyKqR+fIKMcf+KTjAnM2ImNAdbF4ppDZzGPkLEJZD/fmATbaUL3zgOrBKYvHEUympCcrtNT0eqKNYB1dpyNqTJox7Bui3/puGykdXdKkFfrkFPv0GFMrXN/FFYby3imB02CKEs+DYNgBV+B0A4JXDsFe8U02KWYV0Q0NdrGE1Rp7/wGNhPz+WVsV84HehzFYz8OsNnjXD2jiHHt2jt3ZxaYpRBHm8dMvVWvgczUGrLX82q/9Gv/pP/0nfvu3f5u33nrr8zzdZ4Z7fR/l+u0mWEPXltj+kHyRU1UCc3KKE7hY3TLzlRuiy4bOXkBnNyR6NCdfFvhH+5hGIjwHihy1idl7dYA77COqmvNZSJUpgq5LkxRoqSmjivDpPVxhid45wyiDKiUyLTGORxop5peSch6xOUvQcYZnJDrJ6PQ8AluRTlLqykDoU2xqzAckKWMIXj0iiqBTbmguZsgoo5m2Xr+bp8SXOZOnBf03r1HXhv5RFxDYqsbm7RjreYRwBdFFRnW2IDwcIB+dcv69JXVSk0xyZF63uU7fbQk/gy54HtVkjSpbb74cR5SrAsfzKBuPTHQRu0PqVU4dFUx//3H7QtYStYhw3nwD8qs8+KrENQ31dEOn2RA7ewTHj9poR6NxQ5dANMRnaya/95j13QnrpxuarMHxXZpSUp4vSC82mPEU0e/iZDEiTWiKhv1uTTbPCK+1tddekxIIyey8RDUamUui1EFmDSUdvMAD2dCkNU/fyZHrhM2755i8oJwn1LmiXOYox289/MbS+cs/j3/7OraqEUdHhMWGNNGEQx+vztDLCLWOsWWJ61iUop07SULxX36L+vEpFqhmKenxAjufsz7LEbphcX9JOkroHbTPL9zv4aqGJpeMv/kYL+AZY79Y5KTnEY7VbWSlUc9Y0VpqlmsHf3JOd9en/t49On0PrQy11yOb5XRMRpkqklHabhLzJZffHjHoG+qzKWoZozcJ4Ru3aNYZQoA36NBEOaLXQdy/R2McmlqhpWZzskH0u612gL0ihkqNc7iPsAa7u4OUhigRiDRp9QYuL5CTGftqhn99jzxRpOcbskdjmvmG4viSerFBnV1SX8wxti21s0a3aY6Lc5yzE2xZYaKIZhHj9wJMkiOPL1CPWsLowVu7hGHLuZClZP3OKULWVO8+Qp1fYpXCf+Ua1arEO9onmxWkkYQ4onvQAaPJJzF2scSsI+Lf+hPsaIJSlrJQLEcl1irMfMX6eIN9/XWsbLBFjd45YNA32Kah9/VXaOYb6lVKtS6gqgidGl9ViONj7HpNNo7RVY04OUH8hW/guA4Cg+tAz5f4u12q4wnDtw4xRU1dt0p6arpsSyKzDD2PaLKa5viS6bdPqS9mmNMzpN+hsT7Oco63WrTkQ2PRno/JcuxgFy0cHCsJfukvgGxaYvBohFASi4MbehjhIZTGFxox6OMkG3RWsHy4bCXVFxE2SSlGK4QrIMvQjoeeLWhOR5heH+MGxPcumXz3EltXOG++inz3EWZnjyLRyCjl8ntzbFFx9EafMtUMbw1wzk5pmlYSGdnyWHRekq9rnGhD9PYp9vf+ELNcotMMxwFP1+TzmDBbk3/vIXo0hapsSaFK4b1yiDofYxdrUBZkA0WOLSqs52OWK0RVUT1qOWXPGjwZAztD3CLDURKZNvDOO8jlGqvBOi76coL5HDp/flZ8rsbAr/7qr/Kv//W/5t/8m3/DcDhkOp0ynU4pyx9QjexHDON1SLq3cJua6XsLnNE51vGRaYP2OjhZAmEHjMHtddAH1z/0ZoFaOsjRArfj8v5/OyEZRei8QGmovnsHZaFOKnzf4gYCr+uyfrwhfzohHafosIvwXXZ+6iYqr2jWKXo0Rd59hDk4JFJDdJTjdgMMLn7XR8YFItlAp0OVNBSLAjU8QLsh+dMZ0/fmWKlwAo/NpED1hhz+zv/F9NvnVPOY8v4xXscl8AxyuSHc7REiqeOKYha1eazpgmwcoaYL/FuHFKsSs1nTtQWN8TGej+cLstMVMikoFjlNXNBMV5SLFAZ9dFag8ory/ac4gcvwp262eUA3xHXBu3GIqRRNUpKeLKmWGeXDc1ReYfd26Q0cGA7xA4uzv0dxtqBLzclvH1PlCpskbbldEKBrRdAPKBcp2cmS7HRJs0pxQ4/86YzcGSAv53iLKXmkkE6H0KkoowZ/GLJ5MOfg1S7CGshyXv+JgPp0QlUYfEdR7b+CqArmC4EXXPEEtCK9iMkrh+buI5KTBV5V4l8b0kw3GOGhixJjDW4vxLEG+fQM4/qQJnQDQ38ocP/w91tDIMsh6HDroCKKLUZrlN/FNYpl1qMZLdgcbxAC6vcf4+QJnY7Feh52E3Hweh/hObihT7POSVYNohvioilmGbJSbUXAoymO52KSFCfwEB9oJBSK+DTGKIs6H9O1BXq6wBQ1+aKkPF/gNRW4Htm6bp/X2QxhDWHfRxclKqvofP1V6IakZyvszg5eL0TnNVVUYTYJ0d0xJi2onC7rk5hK+5S/+x1sI5nfXbaqip1OG05uNMHrr+A3Oa4wxOMUjIWzC1RpOLjVQ19M0I1pRWJOLmCxJOy62CTB6XUwRUH8ZI4VHtUixf3T77QRgrygeHiB7A5J/+QBqmioVikH+Tk2itty3IMOoVMjS4WcR8i338fBoJ6cIcoKZ28XnWZICU1aYO7cRczapjbWCnRv2BIgNxG6UaiqrfTYe3VAp1jRG/jY4R79V4bo6RKn10VHEQ4WfzVtNy4/oIoLmrSmmidE755QrspWiyONKN4/punuUi8zHMfB+CGO76Dna2SlMJsEfvEXWuXPbuvomPGUZrTAHh+3OWvTwen59N66Ab0eahkh8akLg9g7IDteEAxC2KwoH15i0hKz3LTGQJ5RbmrcySWukjhYMJbg+AFuP8Q4Asc1OL0u6t7DVn3w1dtgLcnDKcu3z0kWFdUyQ1uHii7l3eO2NPnaIWiDigtGj3Jcx3DxrROihzPqpMGRCrpd6k1O43YoTmYErkaVNb2DTtvZUmty1aWYxpTnC/St223pqTboskGsFq30uQA9nqEvLtGTKY4ryFWf5tEZ5dMxrmnIRhv0eIFZR0TTEscodn7hdfCdthwwL6n/4v+BPT/HbmJMr0c9XlNfLmlma+Jv3YHxuNWPEYBWOLYViFLmqsTxtduAQASfLMr2eeJzNQZ+4zd+gziO+Wt/7a/xyiuvPPv59//+33+ep/1UuB0fNRhi8pJ0oynO5sgoART+TkAZS3Sl6O340OvRlBonTun2HITROHmG0BLVyHbzuHdMPErwZyP02YjV//hT4u/cJ/reCZ4wXLvdw3EFaraiupiT6w42zTFlTfHOI5o/+JNWrjXPWZ8XmMCnTmpihlz+9n166wvmf3JKJ120TP6zU3RRUUQVfmDJyzY3qbMStWk7vTGfI70eJi+Qxxd0qBH9Lp5pIMvIz1eoTUQ9j8kuNoTDgLrUmLwCqamqtuGKJwydn3qNzk6I98ZrNHGOUDXRoyV1ZZj81j3UbE01jWjevkf5p/dB1mSTlGad4e10MUpjh0PEaISbxpSrFFs3dA77GGkwkynZ2aol4riC4GffarkTdYXMa5qsJvuTB6jekOzBiGpTMrzRoxytGN7sIYoceTzCOz8m/9MHxI/nZKdzVjNJKBN6BwGqrNH9IXq+gU6IDrq4uiGQOXXSMH9/zuruGBunOBcnuFg6yxFOVePrAnM5ITl4gyaXCFnjaM3wRp/6Yol/9ogmrvFvHuA5Bn77d3GNxJYl8STDnI6wmzVUNfZihDufQVmSbNrGMvXwkI7XYLKWRGm0xvYHDNIJxTxh/Uf3MJsYf6/HoKPY3XUIQpdOYNCrCK8pUauY+ukFSQw67OOeHaMaw/zhBhFHVKM13luvUR5PCW8fYZWhXGaopCQ87GF9H/fJQ+TZmPj33yW+P8JmCTKpaKIc3UgskH3nLk1csVvNEK6g40rUbMnuT1ynzCwkOeWmwjncwQtddFmjywqnLmA0Yvw4oyphdZrSFJL1/Qn6cnLVI0HjdHym3z6hWhfkowjncJ98luCsV5huH/Xam5isoPjWO9SZJB6llJsKrynbckTVhuhVWtGkNU0uqc/HmCSnfO8h9fkcc3KGGhwg3/qJlvxmDO7jBzBftDll36F+Mmrz0eMJzWSJM59R33sKyxV6E2PqlujoywJvMUdkGdYPaURINVqQTlLU/ScYHEDgeuAtJ9zqxXSmZ9SdIa5qKEcLEIL68QXy9uuITgDLFXKTomcR6zsXxN95SPbgEqlFq+x3dIRYbyhFh8WoIqsEzSrH9aB+fILtdBBBQGBqnFdfQWU5Kq9x4ohmkyJHM/TlmKY7JDwYsvczt9r+PHWNQaDDHvHJkuR4gYsm6DqUUY4IfDbfO8UOdhCv3ETffBX/F78BTUP+3hN0UcLNmwyu9zHrGL8X0u2BmcxwQ4/k0ZhyvCZ57xSZViTzivmdOZ5nqeMamTek05Je3yWfxGS5oMgtnu/Q1C4al/TJHL+M4MljzCZuidNZRSBqZu8vsXffIygjkkmB2dnFE6YlAd97SLnJSd9+BGWJ6HTpdSw2TalWGQObUnznLrJQ5JWgvvUGhQkhCCjvn+LfPqJeZ8j3HuHoiuDVI7xhD50UuIsJxhEwm1OfXGKUoX50Qfl0TPFoRPbuMZQlpqjbtFAS4fZCms6Q+mSGFQ6204W9vY+VWP4i8LmnCV728yu/8iuf52k/FW7gUkQtA1T5faznU89Tgr0BnTdu4B3sIDcZ+bqBumoXWG1wZY19+pTu0QB3t4ejDa6RNHnN2f943Ipa7OyQ3h+RPpwwTEc4ixlukeLudDFJjpjPUBICCvInE9JZwebeJU2lMGVJucrpHfZZyx6Xf3hKeu+CUGaorMTgUs9Tejd2YBNRznLqdQFSk55vuPijc/Lv3gPRCmckt34SW1ZoI9jEbbvRQBfo0RSziclijT8IqCZrXI+WyHR2idWaNLYs78/xHMPgjUP8aIY/CJCnEzoheIFDs8oQ8Ro13EPcu0suBjj9LsXZsmX0pgWm0WyeLHCEbhXOqpr8bN3q2pu2Jtu5HFE9HpFeJlSrHOG6dPoefZMis5rm4Snu6RPQmvTRjOi33yZUBd56geO7mFpBL6QcryCOKc6WqJPLdkNYZKg45+ZRy9fouhUW8IcBbhIhp0uy94+ZvTPm1n5FM1oQLsZY36e/uSQYuLjnJ4g0wfcFSgs8Dywa943blJdrvMkFbj9EHOxReEMkLm7g0vn6q0gC8tG6DctOpm3PhaZCm5Zpzs4u4UGfsErg4QM0DuXODZqgixh0kaMFQZlQvfeQ/P/+I4p5StE4yDhHxiXLRxvEk3sUv/cdbNglFDUi9Cl+/22CgU8yzmhWKQ4K7XioTUJxMm3z4++OkP/jd3CExb++jzcbt10nZwuco0PcXq/lB1xucD3QCpIM1Mk5weO7oCXm4WPseoMfOozenmE9D1VJxv/9fZqixtRt9Ykzm0BVEx+vKNcFJugi3niD2f/1B9T3j7HLNbpqOTjp+YZQZ/QGDqW/Q/rHD1C9Ad7Na3QPezSPz2ATUW8ybKdD8NYt/FeOMMKnlh72ckJ2usAxkuwyov6DP217eUyWKG0ol22ax0YJTVZT6BCKChVn2CzHTOYEs3P0fEV5sUJMRljfw93fwV3NKcYJttdjeODjuQJhJKIsW936MKDbxCzevmzryAcDwlsH7ecvThHn5wRlTHT/kvrBE+L3R6zujAh2uxzc8LHCQX3vDvLpiHwc0RmfYOuK+MGUZCUxjo8VkD2e4Hc9OgHU4Q7p6RJrBbz6GtnDMXpnH0c3iLqiWZdUF0t00KFeZahlhJ2vwPMRqlX803lFtXsNgUPoVDSXS+rc4O4NMFlJeTyBsqBZZhTrgtW7F8jLGSor2lTW5Qpxeoq1lvJb38PMlgSHw6sGZgL7xpsUv/UtZFZTzzYtyVc26KzE+l7LLen2iWOD6xhUWqG8kGgp26ZkFTi3riMfPMI5PcbsHqDwcHUr6SuUwhY5gSrxdcnldy7p3D7EbmKaeUw9i6G/Q3r3HL2K8W9fZ+/Ndp1Xsw0mybBpSjLOuf61AftfO8R9cA+VV9TzGLVKMEmJcMCpawh8vGGH6nKBq6qWO3L9FeRkgXx6QXMxQ0Rr1CpGeB4qSrBxgpGa5mSMsztoK6suJ5g8Q73/AOLkBQGsLxJfyd4EfuBy9NP7rWSv79F0dgmdhsGuQxB67YI2XxOdtPmf3T2Qgz308Sl6kyH2d9DdHunbD/EDKEYxap1g/ACbtnl+t0zw84RmNEc+eIopG9JRhH7nXfBd+teHuP2A1PRQlaQ6m2ErRbKWXLsuyN4/ozmfEF1k1LfeYDMz2LLGURWOqvCm59RpRe9aD8exDG8NSSYZaaxwpCTwDOHNPex4Sjwv0FmJGe7Q6bv0ognezWsYbQm6Hs08xRGWjspwJ2NM1WCUQk6WrWCM1iCguzhHnY2gzPF6Lul5RJiuWpGaNCY9WVDMcvQ6pX46ItAFyIrNHz7APj1Ben2MbiO+9ckF3YMesjFgoVnFrJ6saaICNZ5TPLnEHhySPF0jjvbpqJSmNKiswCzWFHceE/Rc3LIgOlki6oJuz4XRBdlvfwv/0fuE/YDFwhC6BgeDlor1cUR975gmrfF3OsQXMWHHQ11OqZ+cQ13Q7Xu4b92m9PoMygVOHGE0hOmSeu8Gbh6T3Tkn/ZP77FdTOnWMX6Xkf/AO69MN5d0TOn0X8fAhZQnFzg3o9tCLNfrkjMF7f9g6ANMJKs4Jj3YI6gS0JI01q8saM9ih03Mo7x4T1jFOlrTEvCfHiPUKipKsFHjjE+qTGXK6AFXj33u3JeWfTxBZwo2fPUDFOd3zR1SpJF/VzP/bt7F1Tf/VPbJFgdPr0RzdRiU51u+0JVnDHnmqsFLiHj+B0aht9Z1W2FUEQZtvF92Qzk6IyQqqWYJzeU5fJlSjFYNrPaqoxC1zzGpN+fgMH0m6rHE6Ac4btzGjMdmTMcV33qeJC6y2eEIRmApvr0/CEPvd77L2b6AnM8gykt//HmodI2vbbmi9PqLjYa7fwN3tt0p1q5ZY2Lm+03qhixIpfKpHFygjcEZnuPEa9867KGmxRUl2scLcuYt59Jg6U0STgkAXCMeh2RQI10VJTTNZEt4+anVHjMHf7YHnkLx/1qa7JjPsZIzJC6wRLYnU76HPRqj1BllL/DKj+N3vop8cI0vFcmYIN1PIcuR8hTWWwbWQARk3mnOEaXPy+rU3MRrq0RzHc/E7AoY71NLh7Jtn7PQazNvvoIMu+TuPUauY/W7eyqeXOcIamqCPjWJ0d4DpdUnPI4JrQ8Rqg21qdm7tIaINQknEzZvYJKZ8eIGdzenZHJMUyKhEfOuP0Jcz1HiGenyCU+U4WITSbffOLIcsx/T7JMsKO5608s9RxOYsbr93lWJ2ryFrjbAKpxMSDnxsXdPdDRlsRtTzCL1c0bmxj18kuBjsoI+qNOXZAg728HzLIJvSzTeED9uw/PX/8y/ghS6yllghWB9viGYVxcmYtH8dR1iK948xkynmbIQoUvKH5wxuDfFMze70Afk0oentU7/7AOu66KppKwU8n+D2DazrwHpD+kd3SDcSeT6juf8YTk4QZYUZXSLTkvzeBWiJqlul1Xq0wEs2uEWKt15gLifod99riYhfEr6SxgDW0j/sYT0fKQ358DrdvQ71LMEkGebWq1QnE5LCQQoPVm1JEI5DY1zs/j7BrSPEg0d4p0/xQ4EfLalyBWVFs3NE11c4oYNXJ6hNjJ1MKN95iDs6p5nFqEriCMgiTVNI3CIjNgPqZcb6t98ln+e4Rcb8OKFeFeSTiEwM2TkMCXVBICT5ZczBL71F56ffIDtd4hwekM4KRFG2QhlhSDaO2Q9r5CImOk/o+hq/ztoSI2mYv31BumqwyuDudHCKDJ3kdEJBczZFxBvqwmAup7BZYeIMZzEnv1hTzGKS40Wbfw58lDYUjy9QFxOcaInIc5QNkXHB8nsjlBFkok/T2aF5OkKoGp3mCAfq0mJ9n8HtPbq+RO8dYVYRYQ+E1vTm52htkesMFWcUZ3Pcpmy97MmKQXSJ23Mxsxl+x8FfjnEdjQ46BDJDZTVuvMZGCbvrU3Rt6e4FlIscFfjsvdJBrRO6h0M6fdHqrncDOuUagg5Nbx+3ysATNLUleHoflKIfavTRTepCoRvddnpb5sjJBnt2QZVr/F7AnZMh8vgCUZe4iylqsSYIXXCgXuXo17/G0Y6EJEZq2Ixr/J94ncH1LrK3ixrs4XY7uKslIivgjdfB8QhWY5zpJf2jIc14iXpy3HqpsiGZ15SPzlov5fQEVUvG+YDoW/fh8WPCvS5l4yAO96kqi909oKot1TzG5jnl2YxaB7iqbPXZ5wvEZkMTF0QpoDSiLCkuVlTLHL1/DX81w1uOqadRS8S8GGMHQ3RdI9YRap1irODw1ZCmkDhZTON0KR+ds/7v30M1Ch1l6NMRg6BBK6gJac4nOGHQkjEHPZTjo/GwnQ5NlGAcF6UNCod6nhDGK+q0JtjpEB70W61518XxHRqvix2NMYslTprg+R7aCxC9PmrVblaObejc+1PUo6eIn/kZmtEC/9UjJCEqK+je3sOsIpq4xPFdpNeleOcJxR+9g2wMgdtuiLYoEWXO8YMa8pxusaKyHYzjoaKMoGwjTv39AGcxb5Ubixrn9qsM9336zRr/0T06VYInNNmyQEwmdKoEUzUM3zjE6/qUJfg09GZneF0Pf9ghv4woo4rs3/xXHM/BdwRUJXmwjxzPmD2KqDJFOs2xno/bCSDPcF69QZM12CTBvPEmtQna1EhWUKc1mfRpxjP8PIK772Pu3kMnWauZ43qoOCH73mNc2xBnDirOWT/eYGuJqjQmSlFxgX56RtjzMMJpdcgs+D2v7ZyoFLKSBOMzTF4QLi7RZYVX55T3T3HimOxyQ30+bSu1SomTpjRFRWM9RBrD6JJe31Brn1f+0g2ydYNOK+T5lN03D2C1RFVtGaiZLdGjOWHfxYkixO1beJ6DH68wJ2eYNMcCzeNznDJHlhpn0McP/bYKokqRedszxRQSmgI5neN+709Jf/9tqvkGK1xUVqMag9PUmP0DQk/jBh7W2pZ4mfxwbdl/FPhKGgOO73Dw5i7+bofeXsCm6RHNKqywDG70cXaGdN2GprI4RrN/5FGmkuh4hUhjrHVwhIvxAuxijodGC0GhA5w0xq0LtBuCcAh0QxnVhI4hmJxhFFSLBFVInM0Ks46opglusmGmDzBFRT1Z08nXBJsZVDWL9y5wdgY4QjJ48wDZGPRiTffWPsErh9RJDdZeTSqXbh2hrMCMZjSZBCUJr+3SzCKoS4Tvsff/+gbp+Yr0fIOtK6rZBme4g+4P8W4d4eiG3s0dHCVxX7uFrA1qleF0Q9xhl/TdE6onl5RxTXU6Q2vwNyuaxtCIALcpsKsN5R+/TTBsmeXF0WvMp5bye/coLzckf/Au8vEZbr+DfzCgt+vjFzEiitDjCeWmFfZRxxdQ17izMXa9IhiG2OmC/OgNtHXRkxn64Qm2km1d+uMnuFmKzBuGP3ub/mGHUjoILN3xKVVakZwu6Aw9qnfus3wUEyQRk6mgWccI2VA8mRAvmjYyIlpBJ9vtUD8c0d0PcauM3k/cwpQ1fj9EzlY48zEOgnrnEL1YYMqawZ5DR2c4aYxdb0hi3aZHHJ9es6FZZsTTEhuGyPcekF/GuDeus9R7DN+4RljEDI5Cujs+zeCAbjyje9hh561DOjsOXsdHNA22KmC2oHpwTrXOME2DvJiQ3TuHNMHrulSLnOgsoqoEO9dC8nfaZkR7hw6iE+I2JebRE0xZ05yMqWcJ/XqFMh7VqoA0Q0UZSSKwl1PqR6fYrMC7PKVIJNYYtOtTr3LwXZrzCepyiZASucyow2FbORNl2Cimevse+tFjwvUEcbiP44G8XCAvp4jBELuzj3fQR924jbHgvXKA7O0hpzH9n7xFOPTJpynNaIVR4C/GyPkatyywowvSe5dtCml3H8dzELohmF6y87UjZNCj2r8FjqBaJshKIV9/i2Ya4904RF8uMPMF4W4H2zTUmxRXVYiDPWxRs/mTp7jf/kOaVYbuDkE1pI/HNHce0Vuc43oONs2R8zX9vtv23BAu4tohdt1uDPXjU/pdiycL6v0brS7GeE32eIqeTPFkRRA4dFcXVBW4iwnewQ5lYVBHR9QPW8JdIwXBXg93dIa4OKPzk68hHIFuNCJL0PMljufQvdbDaSR1VFJNY5z1nM1lRTwp2vLmQYegSiHwcOINTuii/BC1yXCiNc3jM2yvj9/16O510XuHLeHz/gNMlFKfTxA7A2RUEN8d0Uw26KIm+e4jCDzMZkM1jVAagtBSj5bIeUSn3DC8tdO2Y57N2mZHUQLLNUGT4h4ft42WAgdRFVRp3VYbXMxwoiWzt0forMRzNHlm0HkrU57lbaMq0e+3ImiORe4etI23ZgucRw8xOwetPLJu9Tf2Xu0RpEvkZIV/45DdocFVFc3TC+pZjD0+wWjTrrlhK8jUpDXB4bBt6LZ7gAw6hI7GnV22xv/JMXqxwc4WmIPruLRKhO6br+H4LmLQaohobRFimyb4QuF3PQ6/vgeuT/+gh/PKKzTaw6PVxsYKgiLCKktVOQRCUkYN2gaotESKkMC3iI6PiTO6qxGFCjGuh59GlLFEaE1IhVAN8jvvEsoYURY0XqetPb6YoesG1Ru2Pe9nU4pEEeqCqmpb5caLhgEZ+ShBGUHYD6nevtdKqs5T+r7E1IpikYPjUMQNRS1w+yHJUuLLDPWX/jLZRYStSoIqQT06hmvX2jKhTSvR2jkcks9zOjs+fpnghAHVaIXbCzHWYp4+RYQBxcUcLRVaOOgkxS1T1JU30CxS/MMeXLtOLno4vo/nGZrzGY3wCcqUNHWZrD16dUT94AQ1XaGyhsHXr6GzgurBKeWmobhYQlFghMsgn2G9gNLto3cP8NbLNqTZDeH12+iwS14Kygaa6Ro/ixCTKarbZ2/H0GwK3J/5OoGuKKOqDRk6Pu58ipyt2x4ksxnGgj06wlYSdXhEMDohjKbUB69ipUEnKdmsRFqXKpUk3RuY2RLrOAQheOenmFLhxksGHY1aRmjHh7zAGfQJsk3Lmh4eoV99vW2OVWZUF3OKyxX6+AITRajG0jvqoXCRucJEEbtHIZ2jHRIVtlUbdU1TNrDekL1/Sl0ZxGqFGy0ginCNxM1SWG7A93GsBgQsF7gX50jHRzQl5X/4r4jVCm98gXUEYjHD8QVmsWH5YEHReAx0guMJLv74kiKuSU2PxaoVjDHTOdm9U7xoifqDP0Y4Dr3dtjw2rFLsKka+8x7S7SC1wCgweUm/2iA3KdmjMX6Vg1SYWrXh1OM5/noB0RpHKIJBh+GOoJqlmDv3KGYJ3mpCOV4SxHNcr9Wq8NZzyvePkY3A+B4qa3sjNHHRkrtefRV14zWCKsbd3cFsItxkjeu7mLJpm2oNd9GNwrlxHRMEKHzUfI3T9WG9pklq1DohmpWoRYQqJbY/wHnzNfxBB+0FVMuETr7EPn5CNV7jHO4T7b3O9UGGl60wlzPCzRR5fIZdbhi+votaJpj1hoIOKsqodJvOcKNFW7rngT28hlPkKL/DdPiT4Hlk4+xKBdLi9XyaVU6U++hVxLW//Bbdt27i7g6xsxl+lSF+6idw6gKVFlSrjM7ju6yWhvXdMf5uFweLZzXOySl+EeHuDDGlakWiyhLn1g28PMIRAi90yVY18vEZ9TxFpRXlyYxqvGF9nlDlBi11qz+xSXA3a1zHkKWGcp3TmZwi05qBW9H/2iHGD8mWJWI2pTmbtJ1ldYKsDGiFJzSyqMFxSaY5TaXorScUh68jZlPyWYb36g30aEZcBOjdQ/w3XqF4NMK6LubeQwLf0kiXRPXR4yViOiE4GICq0QaaWmOnc8Sm7Udif+YncMoM/xs/RZlrmijDpHmrYlgUZJsGpUFKjQgDcDxEmTN4ZRfnYBdhLU4SEaoMO1tCGGKSmMaGyLuPkUmJODps9SGyEl59FdsJP3nz+hzxlTQGtFRED2fs/+9fx0YJjpR4b72KU6ZUJ2N0o5AHR+BCabtks5zg+h5lXKIvpiSV34oNXTUnEfu7JJmDSFOcpiSwNc3uIcWywrc1wWaKDnvoG69QJTVqk5I9npA+mlGMV7imQTk+QriIPKNMLc2bP0mWmLa7norh+g2C3R4qykkKD//4CfXljGZdUE8j1o8WjP/gmNn7S8xgl7IwOOs1naMhcp3RPL3Ey2Oq959AJ6TelFC25Y9NrUkvE8TpMUHPIz7Z4AhDP5+ilxtkoTCDtoypOHqDujB4WYzYGVDGJd5Bn+rpBfgdOm+9Qn4ZgeeCFThpTJ1JhNU43Q693YBQ5dDvQZphygoxm9MRNTIuSY5nqNkaZzymGexitCE87OL5wCZqRVT6O+i8JJvXyOE+RrTtUz1H00Ql0u1glaUnKsp5RnK8gvfu4PU6WD+gsxPSaRJsktPZ6+CpAm0sQbqiVy4Jeg4BDYGqMAeHiN09KrqsTyIqKYjGBWG2IZieobsdnN1Bq4cvwnbTzxtUVGJOzvA8i7l5i3LvFeruDuEf/x7m8Dr2pG1sIrtDzP1HqG4fU1RUJqCWHoNyyWZeUcwzBj9xk8r44Lr0mojkZIWabti1MSZKSNhBNDW+UYjBgGB20SpBSkPzzl28XoDnC0Qc0xl61MalvH+CfHqGn62In67a0G3QwY03UBbUT87JolYr32qLIyXrcYUYT+g6EruzB+MJ9Y03cAIPu1qxU45xiwyvKQmvDVpCnh+y1jvUmcatcnompa4tKsqp372HCUKCJqU5uoXjO8S/9W26KqWOMvR338VD0l+eoPFgsSY4eUjoadTJJc7uDr10Rf3ohOrxOXo8pxyvqQuFKHPk2SX5NKE4W1IdvY46GdEkJc6NazS5xBcS/9qw1QlRCjleYdZr8sbDHfRowiGiqYnujFDGp4pKrJIEO124fx+5c0h962s4ZUkz3xCEgt7AIXA01nPITudtaqvUuEmEZ3WbahMefrrBBD7uoE84O6deJG1znKomd4eIQQ+TV7h1ReUPsG+8TvdoiLmc4Y+OkQe3kGmDu5wjHIFrFaFKSW/+BPaVV/GuDWkI8fsB2jg4myUqyenc2EFgSR+M27bnUUQwPsWsY3q391DCQ2CfEUFNnEJZQadHNV7jDzo4gYvYGyKjrG1rLmuUdagqTR6VyMqiPY/yf/4hQeggAg+ZlVSzBKEVJilwHIssa4YiYfdaj815yuK/v93yUh49Regat9NhFdzAHh5Sd3awd+9R55qOTNtSWIDVimFyiXr/EcF6hg77mE6PwFHgBYR5hJA1erFhL6zoHnRwOh7cfx9rHXq+QngBJm9oNilcjMjHa7jzPnb/Omq2JqAhbHKMFYgixdnt43sKqwzG9XF2d7D9HkopkDVi2Efs7aInc5zNBj+LCWVCUbV9DqxsK3MoK5QTYEYT5GTVqoz2ul/avviVNAaSBxPkk1OU9cgroN9pVcAagzo5x0YRWeUh9vaQ1qFapIhOl+Jsger2KUqBH7qtZrwr0KsNTVwixmNsp4vbdel6mnxREs4v8XZCKhuigx5Z/zp7b+zhq5IwWyPma4rBDcpSYLCovWuYMCCdFiSyg2s1YCili3v7JjZuc1PW9wl2OkT3R/Rf3cVmOcPxfZq8BhdUf5daezjxCrSmiQuqYEjjD/BMTbrIoGkIuz7WCqpc09x5SHrvgvxsTqZCzMPHyNKwfvsMubPfCuM4HZp5gnvrJp0buwjXxeJSTiKaRURv16N8Om5JgVmD6rY6+3Z3h/5RSM+t0ZVEno7h4gJx/Trm4pJBD9zFFOEFpCcrVFqweLhBNtDvW5S0yPmK0u3jOBaUIX//lKqCYDHFbzKc0GvlhG2IilOcMqInI0TgIVSDV0SIuiZ8+n5rpDx8ws6bu+zcGtDME3aO36W/PKerC1ASm2bU/rBlUc/WdAPJ6p0Rbi/AJgl0AvQiQRweYvvdNjSf1zjxmnRRIV65jts0RI9n7B44pLLLTjJC/9w3MKMJDIforKKrUmSlQTiUmWb4Spdg2M4ZZ7NGhC7N9dsYZUlEn7TyGey6qJ19QtuwE0h02GHTfwWpQR2fodwAJtO28Yq1LYFsfxfz6mt4dUH98AwsbQSsyKnSBsd1cPodqp0jGq9LY/1WqrUXQl3idlzc2SX6xk2II/TDJ1SZRAza8ltvPUc3bYfJJuhjpKLn1oj9Heb2kOD2NYJQYAwkZytE1SACH5PmGKmwjcIuV4g8JZiOyO6doWcruk1K09tppYVtB7uOcIXAfeUImRS44wuaRqB6QwgCVNk24ykfXZBPEhxZ4owukGkJssHuHSJ7e3irOf1feAvHKOgPKO88oi5a3X3Hd6hGC8x0iXf6FN1IBhf3Ga7P2W2maOEjb7yKxG0bR2lDv6NbGey/9EtYZSmiBvPwcSuoJCW+Z7D9AfbaEebaNYJ+iNf1cJFkZxvWpwkqLgiaDLtc0dStOuPy8KeYxgOktPSmTwjn51QiYD/M27bWRYOJE8LQYIIupjdk+d1zyukGtXcNpy6R+0ek85LOfp+OKRC2bZfcsQUdXzNIp3jdoBUT6gyoRRcxHFIWFtNIHFURzWtkllM/OMUGHYRwkFGOKRtkt0dQZe3vi5Q8brB+gKw09to1ilFLNPaMpunvoPMKtykZ7HltV8BoQx3XmMmUoVfj7g7xq4TA0fiv3aA7DOjFU3QnpOdJmnCIG8f4j+7iCotbxoRDD8dovI5Lt9xgNxvcboAY9BG6Ibw+YLgr2DsKsMMdbFng9jqY3R1U0zDog40i7DpGZhX5IqcuDWQpDpoghF46w1E1OzYncDXFnaeos0u016NJ6rbHSp5h4qwVnqobfJVjliu0sThhW5bjyrqtMiglOA6iTDA//xdwDl/exO+LwFfSGGjWGU5TUUU1MirYfWMfEycYZdBJQbcHtdNBXr+FjApm706pcgl7Q+y1I+Q8QjUKxxjsYA9n2KeRYKoaowVNAbaRuB2PIF9T14J6FuENQ4rSa+VYD27SeF3qKEEEHmZnj+HtfZTfA9ehiCpEt0tTSpzAY+0dUjsdsnVF6LRhVdZr8kcT1HRBL5D0J09p0hJ/2ENrKOKGcDFld6jxZQG9LriCUBbEdy4J5heEOuPoZ44wVUNuehhpWD+cIcczelWE7AwwtcSpU5ydHlVa02wyVFEx/JlbhK8cYIc7RA/GFN+9B6NL/MAh6Lot23mng2cawoM+vd2A6myO0g7dLshNhm1qTFogDvYQnZByFeEmS6hrkvMNYtBnOHTxTI0sFGqdouOi5WMEGuV4UGTUlaCeJ+QyIFhPMdoSlhn6Ykz27gnW9egvz9sGPU3JJvWoThc4aasPoa5qlk1/gIkzpPGw2iKSmLq/jzHQLdY0mxx3NkUNdhFVjalrinmBG3gE8wmeqZDrhGxTso5c7GpO+mSBYzV6Z68NUU8WOJ0OdhO3m+lunzQ10O3iHe6yfxSgtMvOzT6ebdAnl6i4pIpLZGcHISWubjA7+wgs/m6AH/rUnX1sklJHNfR6BDsBwfV9yutvYrwAvY5p1inBekqWWYwXEPzkmwSObGulww6hrRDXruGFgsFQ0OsYfB+6Q4cbN13m+hDruCglqOOqNdL6e5hOHy+NkHuHmFdvY+ZL3HjddrB0u4ggIDwc0JcxjpWs3xvh2AYV9qEqqJ+e09x5CLJBWR9nfIkFDq4HVDtHbJoh2ms7K8qywfEdRJFDWeGslsi4wLEWdzxCuyG+Z2G9pvrDt9vGRIs5fmBR2qFxfAbXe7hGIh4/wVsv8FD42ZpmnVE/OsPgMVidYaoSt84QYUAwu6RRgp0n72EQmEZT2S7BrUPcpqLnNnjDDsYNCP22vbQTb6htQCBzTNGgs4a6NuT+PjbsId0QVWuKVdX2/Dg4xNEKZzUnmjeI8SXa7+C88QodKrwiplNsqGcxamcfNdylufOAxaMVjhD0RUExi7FegC4qzNF1TFFg/QAqiR2P8VTVzm3PQyYVztEBwdduYYVA13U7h7q7BNf6zPIBptcHKXHKEiU62NkMPdxl0JFYWUNVMbg+xDghTTDE9wUWD9vtQlOTRIZAlq3SoYG6Fpg4ZejXhAdDbBCyOzC42Rqxu4tvSvz9Ab2ewLcNk/cXhCpD5Bler4P2QqJpiVdl2G4HTxb09zz8fgd3d8jg1SGDn7yJsz/Evb4PUUwgFHq2pBO26qXeYkqlA5TrIYqCzs09PM/BG1+gixqzfw0VF1hrYB2j9w8J6oyw2OA0DcWjc8xsjmMlZjzDdkKauCJ/MiFcTnC0bHty9Pp4Nw9hvsAEHQwunu9SuT3KVYocTTC3X0MMdrCaZz0tvgx8JY2BclVis4JSOhDHeL5FlDmdIqKgR3QaU+9cJ5YDss4+edG2f2W2Iu0cETiK5tEpO80KIQtMXtHzG3RpUNev49VZq8rW93DKHLtY4K4WNElNXrs0xiHdSJKny7ZcKejh3r7J9dsBTlOyjny0dQn2O0jroVYR3f0u4ie/Tty5gV2uAUGnjHCmF+gHjwlHTymcHntqjecLvGgFSYIaj+l3zZUX0NDdTEEr6vtP2y6EqzXdAci0zdEXuUIZD0qJ72hcV6DiDD2LqDcFcpWxuz4hTNf0XjvCs4rNgxlV7UIUI5WLH7Qyt+6gRxA49L0GdzVn+MoAWVRI62Gykjqvqc9nqJuvUlcWE6e4d+5gvJCGgGAxZnizizyfoJ0A2Vgq42HWa3xVYEtJeneE2MT4pkbXmkBIgqbAEQb/4gnVIm21/m9cx7g+3aGP9UOCfIXdbDBZheN5+Nf2cMoCpR0E4JmGYK+HXEbo197E7Yb4qiYceNgkoz56Fb1aI269gpcscOMNXpMg0wpZg69LZnNBZzPFzGfIdQK+h8kr8ieX8PARIs3bsKPR6EVMLULU7dcRWI70Jb0bO2jhEx3HqPkKtS7oVyu6TsV6ZdscvBV03rqFXW/ovHWTeniN3BnglRne7g7O196k0Q5VsIuqJGI6hTQlGpdkmSW4dQ3ldvCFhZ0d3EEP/2gHX5V0VEKnI3A8gec7MJ+3csRugHZDXFXhJBHZ6Zyqt4+SAtPr4cuCjsowGsrc0nMbwioinJ7j7vQZkDMcP6EfavzdHl6ZIWZzpN9FhCE0FTjgyIbO8pwqk62EcAW4gtobkKwlMq2wmwi3SLFFTqdjcNYLXFlhEfRXF9hHjxEXo7aE8vgpThCQzTJcoXDyFBunuHmMFC7N/RO0cLG//wcEyRJf1RSmR+n0aWpLWQt0WmKrGpnXSBG0bXGxuPNLhNbYV261DXh6IY0IaKxP8OYNTNkgvvYGFS5MZ8ioAN+jcbut1oZj8KocISVe1wcENkkIqgSnaAmXZr2hl68w1sULBWbvADscUn3vAXUpsFWFzEqatGmb6QRdzHSODHbpDR3odjFZgfJaQq/exJiyBmVQp5fUTy/bDn2/8POY7gAXgR+KNiUqLeLiFCMNIo6RB9dxbt3Ekw2226OKa6xS1N19ihx2NqfU2sNbzcjGCd5mhmkMnu+0Sp6e245lMkdpl97NHhQlza03MUevIM7OcNZLbK9H5+wJ+2aFqMu2A6wyuHmOcD1sWVOLEFfWlLXD7lCxe2sHURR4VY6zt0OVKcxggDHQaXJEU2L9ACsE1fEEP1rQ6bmIJCI0Ffgecp2inpxhVUtI1K5PGUucpkFGGe7lCHv/MY5saJSHzivE7i62qtHWQe8eoMIB8vAGttNF1Zr8e49aFcTBELV7Db3fdsFVgz1M1dBkJTpOvrR98StpDIRff41opVGlIvDBl1UryGNLSmdI+nRO0G3LCLUEgUU3hmp4QDTXBKpATxZIJ0BVlup0gmcUpfbI91+nkg61cvDKhFp0EEqhl+u2Y1sS44U+y7WlTBq8PGXn517F7YTodUyFT51ULYEmFAQ7HTp1wnDHYfwoxu/6KD/ESInrgLde4hmJiGPSKiBoctYXMU4g8IdhW2boODDcoetUuH7r0RBtcHb67O0a1N3H7T04PKQsWg1urEXh0N1tlQml36MzO8cXCmcxQ+Qp1mhCzyC0wkPidVxGY9u+ECLEBh4qSXHXS+QqoThfshcU4DrosENluvjrKXnlEI8iHN9vO+rVGWnnkMF6RDgMkdZFNFXbEW1niM1K6qCPGs/wsw1DEaN7A3LTo+7tYfd2CesU13XxmoLqJ36OMtxBj5c0ewc4gy6hzOnpjI5K6R50cMsYJcGRJZ4PZnef4vZPXYnQzNpQe9L2pHfjJXtDg4vGvXUD6zjoRmOuXcc6Pp1rffyqoKwdwkHIUOSt5GltMYAdz9FJir51i1BoqCt8U2GihKLpEC9qBjImOVlSBLutTvxi0xIygx3qrO3CZoEsqum9eR1dNThHh6isJNgNkZVCDXZQ52MCXdDkks6wy7UDwz4RdaGpRUhWuuw2C1RRo4xLkUOvWtNL1+y7Kb6t8Ho+fafEhF38/R6d+RnVozNMWeOt5virKbXbI/eGkOSt2tp4Qi49skiClvQH4C2nOHnCwaEgbCJ0lBCupzhNRTg9Q0oHf2/Qhsn39sH3yZYF/v6Q3eSSeu8AXI9KOoQqx1kv8esUXJdAFghh6RYrgmyF7xiCKsXrevTJsHmJl6d0dgO6noR+H91pFTrdMiUTu/iLS0DgxBuU8EjoUwVDRBTj3bxGJnq4KCyWbrrETSN69RqvSNGdPn6ZQH8Hde8JbpG1Eue9PcrTJa7vIW7fptYebr9DUrmYbo9qXeL5Dt3dEOE4VPMIG8e4O11613oEtgbVcJSfYi4neE2r3VHGiqIQZOcbCm/Atest7yGbFDhNg1YG6QT0NpeIQUhTaNxhD68b4HqtZx6+fp2g11YO1E/OaaYr7E/8NM7F+dV5a1gsoKraBmJlRRwL2NtDrWLMtRskO7doGoubRBgctOMi46KNoqU1Jk5oRIBtDIGn6eQr/J7PMBkj6hIbRVRv30VNIiwO1e5NTL9HOk2xnsfOm9fwXEsgavwiIkhW6KJudUPCEDsY0CgH0QmoE4l/sIPohHRf2cMTGnd/F0fWGCfASEM4COivJ9j1CtPt0ZyM27JTIXCKDHpd3PkEVdR4yRJb1dSTFfV03TZgch289Yp65xCbxrDeYIxpIwHnI4wb0mQ1dm8X4XoE6RLv5g2UF7bRmMtLfKGoK4s/6KDwkMpBJiXN6bTlaHxJ+EoaA4c/d510XqCTjJ0392hmK8pNW4NKJ8QTmuCgjz0+QRiJk2zo2oxVvYPXEfT3AkQSkVYBeePS8Q3XnTV2uEN1cBNflW04E4+8dqkKcLtdHKvo7flkj2f40arVpMai9o5w9nbo6Jxep+3xrY2FRlEP9tva3aph/WBNvPMaOuyTmy6ldFvxnK5LsBO23rBQ2E1Kp4gJ93uI4QCrBd39LuErBxgNXpPjr+Z4SUR4+hg/XaERZGcrmnVB0PWobn0N8cYbDP//7P3ZjmRbnp+JfWva82Czmc/uMcc5ec7JObOKVSwOzVZTQLUAQhAakKD34D0BvgDfQ3wGApQANdHFKSsrM8+YMYePNu5xraWLfboo3giti2IKqtqAX4WHeYSZm63/Xuv3+74vHlE1gsYq0vM5UoPPChQW8e4d4XS4sxFaD9uOlRtCMuMRh7cPqIcHVBpQ3x0I33+FFgJ7+XgQrNgOo8F6RXd3wDc14uYW09fcpBdQ5ojNBl3tkFFIJDvsaEwtDG0yoktK4nZNmEW02YRoWdLrCKM9bTahEwrZVcMb7GGD6zvEoaYfz9DSY5Mc8+4VaXdPdvP7AShiAsSTx7g4QeUJLowGtPPthmZbodoDrulpfvUl3bZCHJ/QVuB0QCRa6tUF/fKYxkr6pqN1oDe38O493rYEsSJ0e0TX4xuLrjbQO8I8wEQGFyi2v32L7FviN19R95LDusHdPlAUsD95CpengKc/VKAD9KykNwkP3w4Jdy0dBz0ehESv39D++kvqf/9rpPIkzR2xaMBaUnZs/+PXuPs13Yd7OhkiuobD6QuM6En7Lcq2ZLe/h80Gd/tAlBsqnVM3nn0wwjR7HHo4GogSTKxgvycsI7ptg+9aVN8StttBWqQNid3Shyn93YGo2QzD52ZDnU8HOZjXmGoHUqBuPyAfXRCKlqY8ojUxrdXEvsK8e4XrevrWswsn9A97vFBIo1DVDhtnqK6CIqcOcux0SnD9hsPOY2yL6wV+d0DYDjdf4nRA31i8Ayc1uj0QRIqDjxDbNYedw+oY6SyUGbLISGcR4GniEXXlQDb0u+EIsq0dXmns718juprk6Qkah7/fUPZ3Q9gyT6BuKS4LehMN9MN6i//9a7i7Q0Qh3qT0Hx4Q+x0qkIg4Qu03gxzIB4zPCsxhTbuuEVqS1NeEvia2G8SrVxgJaIOvKpwOMNs7MJpskQ6p999/i1eG3bqnaT0fbxXN7ZbdTYO7vsfX9bCD0VrsocbOFrj/8Cv6uqM9foRIYuyHj0gs+4cWKw0+zVC+Rd1e4x92WARKCQiG56uVEWEk8Sog+O53uNEI5yWHbcP+L79l92EHSNr1HpyjO3Q0PqB72GF7SzJP8FlBdDojqLYEmxv86TE+DAaM9HSK/vAWMSrh/p5uW8NXX2HuP9CuK5pa4Lb1UPEOFFKAQ3KYntJXHYdNj97cUrmITir8l9+gbUPfg7i7Rrx5i7q/g8MeLXpoOqJMYr83t0ocvfOIpkFqBjX7zTUiUPj9gWBe0PzmO6zUiPvbwfHxzbf0H/4OOvTf9ArLmOTTRyzPAqSRHH77jsNtzXZxhTmeIkNDXESk/ZYyaDCbW8LN3VCPCmPW8YKunPNx8pRKJES6R8ueHsP+rkXFIarZY5OMrhcQGlQaEPgWjGFvDeXmNYQRfZRTvXuguqtYv9sT3L1HeEvGnnj3gcYFkGU0G0uQGppWsAkWiMWC3U3NyN0iXcvmtiUyFuKEzkqMsiR+h80L7HRKNA7h9JQ+HXGvprT7jq7xyId7xOGA3+8R+x2HZIzb7tH9ATUpcEGMKXKsjqA6EEYKF8X0XuH/068JQk0gHbFo6KOU0aMJNiuIHx8ThkOQURY5SIX+6iu6zY4qKIjbPdo2xD96gfMCFWh6FQ62OSVpotHwd15/CwLk0QrilEYk+CTDPLrgMD0n6PaQZQSpGaQ1dYNrW5qoRMYhJtLEk5ju0OK1QX4/9XttCPKQrLlBVAcSf6D3aiDOaQ0mgDIHBEJA/+YD2ntmSYXXBtt2dDohKRXR7WsOIsF7geo7vA5QcUTw9W9Z33lU1yC7FhFE+PsH4u9FQ26/pw9T1H6D8Jbu5Jz47v0g92k7ejSlvYevv6O92+PuNmy3EPQtTgfUr++wv/gj2vuKg8lJCwnek7z5CpEEyLuPmGpD30C7GTIXydkcMS4x/Z6wr6jWLd2+5SATuslyCN69uR6UvZsdRDGqOgxkvH3L7FFJ2wpIsiEAGQRoLPsdYAx2vcOECld3hHbHdPstu+sDXgWI1RKzmhB9fIV0/fDca0lQxkgB8eUCNRtz0Nn3g8ua+Lf/mfY33xKFli4ZoSYTwqsVSnqauz2yrmiFQSQBmp4mLpBRRFv19FmOkODiBCEVdVgiDjvcl19hbDP02oVASIWottgkQ2UxbjLB9qCFow9imI3xXY/xPbs+GP780OGbljKo6XuP7QfVcPbqayhz1PaeYJbTtZZgd0tEhfn4Fnl/Q9d2hNUaIUFHCnd8TDTN6eOctZogqwP4Hu8drhxhUkMYC5RR9MUEryM6FRLub4mPRmB72m3Fw8Zho3QwBdYV0cNH1O014TynKlYD9yOb0FSeoKvwQqG6FsRgLRX7HX02pvtwR7epaXYDHrqvLUGmEVGE2d8P0q33HzjsLHEqEfuKXgwisw/fVGSrFBsmKNsNJMK+R8eGLi0JTqaw34OA2gd0N2sEFvuXv8ZKRf8f/or6mw+4rEDc3eCFon6oUd9+Q9VLXNMibYt6dEE8SwkWY6wJkdUOkYSwPyDals4q5PUHfF5gmx6rFF5I4h8+Q7Q1Pkk4ECBGJf7yEaqrUB/eDC6JJILtjqacs7tvoG4Rmy1K+aG5sb7DTsbo+2u80rhshN+u6dYNQTfsvgolUU1D5xXMJogoItbQe4XcPBC3a3zTINqG/mGHUArqHhFFf7B18W/lMICA9HzK/HFBmCjaNx+pG8c6mMPmHts6mpsNRneIUYFylmIREp3NsEnBQzDjQZR4JJ3VyM0DsixwsxmHjxViVJCYfvB3K4XVEW79wMEFsN2ikgCpPFI4VChRyymH91u6j2vCAKS3lP6B8eYVLgwQaYK3HSYNaB/2hDGoLECEAfP7L0m+/BXNxzV4z67Rw3DS7KFpqW4OeCnRsaF5d0cwzWmud4S7a3bFgqb1IAVFLtl/2FNvespgj/94h8gypHAIIxCTKW6+ot00ALiuR9xfYz9eQ9dTiRh5fkJ7t8FmI8pPTwnWN+yXl/hRQRgJnJf0IkKYEBkZfGCGCty2JZINXQ/WC/qjU1K/xZ2dgPMDDyTL6f7en3x/R93ThfFwN95u2aVzAtXTdR4Rhoim5V5MCcYlRBHZ/gN6O3zoeKXRvic4mRHmIUm/R28f2BNRVR5/aJB314imxX35Nf7DNdUBnFY0XpH4HToQBLs1/btrZF0RV3eIohgIkTxgQslBpcT9lvV9T5uMYZxhfE3bWHQSwHhMi0E2Fe7jDdQt79Yx8f1bxM0N1ira97fIehjUfJxwf/YD+l7gekv+4XeEs5T0fEx7vabZtAQGfFmidg94qVG7HdZE+Ltb2rpHYrH3a3RkmOzeYMdz6p2lkgnq4Z6mc9QPNfabV/QOmocaiUMaiZ9OCd5+S9TtmN78FXZ3oGs994zBWsLDPb6cENEMdbogI6Bl1N4g7u8wj06xYYIzEXJSQtuBVlgvODSKPojIM49u9oTtjqg/oBIzEPnqDi8UYawpni8xl6c0aIJIEMieULZEuw1mnOHGU7rJkr4Fp2Pi7fBadl6x72NIEtK7t7j1ms6k2Ciljkq8l+i+wbiWPhtjhSSwNUIIoizGrIc7tuCwHsxyUhB++1eE648EH97gqz0+y5CHDVUwQsQxB1Oid/cY1xC6CrlbE63fo5xFdB2x3WLrjl0XgLWoUQ7O0VoJVYNsK9xojKx2xAmYIkG5HluOkVEEvcX//jXBx9d0//7XUM6IxiEdirYX+FdvEV0DUUyPwB8qKhL8YokKJYXcYar1wFbYrxGHAzIOhxaSApWlBEGPsi3h4QG72eGEoo9SSBLsN69w92v0rGCXLhBKoW/eDbViJWmCHN/3hK5id/EZh9ERuogp7l4h+g7nBP1mRz87Qt4+EEbgdwc6b7j/dkdfjIiuf4/XBrHfou4eOERTvB52QbsnL6n/4+9oVILYbNj85j32YYNYzkhOxkTLYlAkT6a4Q48yEplnRA8fcJ3DX1zizs6w51cE1QYfxNiPt4jZFNf2QzYmK2nvD1xHp7i2x9iamBohDH0YI/KUPk7p7veo/QN9EOGrGtYbwsMdfr2l/erVADXabrG7Clv38PEa4xv07gG3PdBeb0BrRJn/wZbFv5XDQLLIMWmIamvSSYTJIxqr6NYVpq2oZYTer8kih5UKGYUE6xvCy9Phl3I2pXeSZFUiqgN2V2N2t3R3O7Y2QUUav1gSbB+gc9TlgnTzEV8NatFORngTIoRkPBaYWMN0gjcGXSTUYYoOFcE0xz/ssULQ3h0oZiG+LOi3B8KHW6LTGY2KiB/eElZbhOuRzYHs279CNjVhKDCjjL5x9B3wcAuTMeQZzd7SWUPTSWTfIcoC+h5jW5Tr6JXGLxfs7xrqjztoK5pyTlIqpLUo4TnYiCqbE+lqqGbWDrHdoPuauh4WcRVo9GGLFh39riFoHuirlq7qcULTmoy+7QlsDZMpFoXcrCle/4akeiAMPN16h50ukT/7Ocp3eBToCO88SgsEHtm39PuKLsqorCHVDfK7b+D2lsPtgbR7wDQHtsEUY4A0R50fIwNB3K7pyxmBbKHMqf/Tl+At9fvNULELM6JZSWdyguv3zBaC0Feo22v0r/4C0pTalLReD9ri3RazfyDhgNjuka5D9R1qfY992COfPKYrpqy3giYu8Hd3HKIRTauQaUiwvaW62+C+/ga/2XITHlHrhFtXYgIIZymjD78jOF6Q+QNuPMZbi/32FT0KZz29jth0MXWvKA7vsTpi76KhG60DfHWgySbI5Qy7PdAmIzYbhby9Iai3uCAhqe6GTnkUIfZ7zO4O92/+LdHhjmiWY3UIVUPjzFAZ9I5OJ/R5wd3onGB9j7ItIIm+eM4+mQ9ujSJFBYo+ztgGM+RoNNTZXl8Tq44wcHTC0OmESqToNBoWobonenJGsL2lCwq8g8A1mMjgtcH0FT4f0ecTIrvFjGKsBVs1CCNoDhZ3fEZ08wbbWtrF6dDQeX2PvLmhDxJs72jyKWq3Q00GAue+AW7vsL0noqXbNZibd1in6LcH7PaA9wolBnytbXvCSKDqPdHdWww9Do0QkB7ucacn6NUUm4/wbQujEV0v6KUi9gf2i3OqWoGJ8GGE0JpAO+LUI8sCgpBmW7ENxoQPH4hf/Ra/XpMHNfH2FuEF5VHKwQXIQNO1QDGCKKSTMbqvCfZr4oe3+IcHHqoQG2RE9QP9r36DnhQc+gC6ltI0BNIhZxNElqF9PyyYrmdbnBAqhzCatgbTHZitNHp7j+09apJRHyxFe4M/OSE8Ww2NAGlRhx17keOcwpUTxO4BYztQcpAAfXhD60JMV6FnBXtdDJmB1FAvr+i2DQIPdU04zQgPDzT7ln5ToZKYaJohVwvuPoJtO+6+uUP5nvrrd4gwpENjVgtwEKaa5naHfv4YJxSqyBHeo31PHPR4IfCjEXI6xnmPsi0yDmi64Uig39VU377HuA7iCG8F5vffYPoKq0L82w8kbj/ghpXGBjHhyQSZp4P6eb/DVjV0w27TH+r6WzkMKDHc7TTv71GbB7wyyCTDNDtkb0kOH2kqR9hXxLRsl4+GM+D1HlVtmX+2pNkO27ixagfWORK322PyEDkd0ZoMUR+QEnwc4aQhvflmkLtIhY8iZNdAGNL83/8XZFvRHF2hI40LU3onUIEi+e7XxP2eMBQ8/OY904uSSDt2oxPc/T1tNkH1Lc5oyrgjjj29E/TCwMkpYbelua9oaod7c43b1fRxTpdPEX2Dr1v6zY6Y4fzW2x7m8wEKlJdDIyJPCEYpvmkJRI9azYhSSduD+PQTtreDbGj3boP93dfEnz8aXARI3KGhv31A7fYIYZHHR0jp2ficWqc0Ypik/f5AdvuK+vQpzcMQMvTvb9CHDeGH14TthvFMoqcFdjojcWvSsMdrg3OWTiXI9T35LGHnc1R7QIQa2XfY797iv5/00+oaXR/onR/QzFmGMsB+z9hv6QhwqyMsmnUTsnY5vdOY/T0yC+lRw5FCOaHSOf03r/FPn6Flh/Q9/cFiDg8YLdGxItrf4ZOUutfYqmUr8u8hKiPuuxwXxKA1wf4BsV0TGE/SrQf6ZeNJEjCTgqZ2BNJTjDQq1Kj1HaGxeAQSj5zPCbfX0Pcc4inB8ZS+sXT3O6wyMJuyPwiMq5DzCdYb+PiRYDECa7HjGbeHjK6Y0vZyePzII05PkI8uCGyNLLLhOeta8idLtHTIak+wLMlST7vp2JUr5KHC1DUiMDTrhjCEINEgJbKtkX2PGJeQZuxaRa8D6otntPfft3zyOV0DTTzCK02makLj6FoPrieuH7AmQBlJGIK/uqRWIW69Gd5rUYzabQlcw3b1FGMEWa6JQgeTkrB5oJ2uiFY5PggGxfxsjro8p/OaZtPi13doozCyRVUVbl/h9xWuLOCwJ3y4prtb01lNZyVFe428/whNB4cdKg4JuprIt2jR0Zxc0GJwRtO5gGZ8TPz4lOyzK6hbGhvQvt/ilaIaH6MOW6pNh6oPxOcTRNPSBwluMUckCfF3vyHJA0SZ0skQ0x0IfvoS4SyjvKdXMXo6Rk8KnO2IZIs6WeHut4SxGvIuaU67OMfHKaGtELZHffsV/vICdbIagpmHe+SoJBilqNUMEQ5ciC5MiWgwo4RBY6pQfUu8vyWuHvC9pRchtSlBKWgaRJpQ3dUY12JNRJukbGWKOpqjlacPI0wksSpA9g3+5oagr1Ba0vUDzMm2PYc+ZH89WDu99QSuRfkOE+mhHZIE+P0BmSb0uwPJ+gP9ocMlGfZQYaMYvb1HHraYeou7vqXPx3TLI2hafN2Q1ncEgaAUw03WpH1P2yt6FyCEIAgFHkG/b6Dv8VWL6DuCVOOdAwG9jvFKgRRDtbHzeK3o8hEoDdP5ABoKwqFhcH2Ht/4Pti7+rRwGfG+JpyndN6+pr3eoSBONI7T0oAV6t6W93XLYOcJ6TZJK6k5RdDekiWIsN1DXPLzZESaSZrTCBRFqXDIuHTYdk2bQ9Bple0Lt2TcKpzWyqwhVjVQSFUhkZDh8c43YHxCLGWZzQ7J+D7cPQ9c2cCijEMJTbzuS0uAc9Cqk2Vv6pARjMM2OJA9Y3v+OppxTq4xuuiA+GmM7R1NZZN8RBR2tjHBFjmg7ZBKwrxVdVNCNZySxQ+Fwu5ZtFxItCmSo0UlIvL8lPJ2jsniog+12bL67o33YAZ4uSFHOYRLD5t0WX7XoVLO5aSGJ8ZM56aeXlGLHLj+icQHtzR5b97jeoUYp6tE5rY7Qosc7h88yhHf4tGBxmWM3B8R6jSxHQ/c4DnG1oxeS/tBincfjMNJyaAQ2SpDVFtd2GOVIj0tMN0hV9HffgJR0i1P6XY0UjqrXQyBwf6AXAXU2I1tF9IcOPx7jpUD2HVWjEKGhyRe4MKbVGW5bUV1vcUnKQaQ4FIGraLI5s5cLDD1+scQ3DaFooSwJqg1BX+Hv78n9hmo/mCStDrGE+DAkcVu8NJgiRGpP8/sPsNsSBo77O0dbOWoRDWS7oqC/fML483PkKENkCUpJbJwTiB7RtAjn6GdTwjffQBjQyYDaavbv7tnOLvFJSho62umKPp/AfEnfWqRzuKJAZwn+5paoCAi6HfLuniCS2N6xWUPw5V8if/8N1cHRqBCdBoTLMXIxJenWdNsDKo7oqxbnFZHbE9mW+P4tLogwXYXPEjodYKMYqYeBpzzPsNdryFJ6kww9+tMzGpHSTo8R1YHepEPt0wlaHRFqi0kGCI1wlu1tz/7oKS6MCS9WHJIJSa4Q4zHq06fEN9+hPrxH399Sr86G9/XdB2gORFS0zuAwdF6C1nSNxfYOozzagLWe5P4d7viEyVIOIijnEFlGaxKkNghrCSKHb3uYL/i4Tyhf/QqbJsOOx8MBLf0gvPrwQCA93btrbNXRf3yAdwPLQ9U7ursNptoQ3b4ljz1t43Fpjqj3GOOQSURydYx4+xqdh/SbPTaKqdMZbjkjSiGbhLSPn2EmBT5JObSaxVIPtMDO0pVjuuUxITV+uUTYHmkU4TiCJ48Rz59TZ1P6fEw2j4nKgD7MMOcrepPQ64hof0Oz72mIeXv+C2wxJjmZstUj3OUjwnFMR0BghvBml4+oe0XfQ9TuBnBYkTGaBeQTTdc4Kp0MLIHdA66cEClLZ8Ih0PjuA05p4s0HxKgYKomdQ3iLbxq6qkd/++UQeH3zDhVpZKAInp7jHraEpkM9ezw4O0JD7rf4pqWJC5rJijAcdiRZzAnfvcJkwUAVPD1HRCE2LelHEw4mx2UlXmtEFCJMMPAH5nOk69BxQJ1NcNMZQgrkuPiDrYt/K4eBvu5RylNXApKYcBRTPl+iQo3vLDaMGIUV4y9O0AqYjnDFmEg7mmREd7+jzcf4zYZi+55tUKCkQ2Yp8SjEj0d0V8/YuZiuGNMcLHGm6KXBBBDsH9B9DU2DW28JREtoLJfPAqxJKFSFmhToJCTMzXA2rnuMdESBpfYh6s0rGpUiA0NfjkErTKpQD7dEx2MOx1eY81OSZUEguyGMJzpCWoTrUasF+UlGHxdUPiYOHH0yQgvPvvLEumP3F1/hpaBbDyITtd9gtzu65z+g1SnOCepvPlA0NxjZ4+qeRseozRp76LBIzGyEjg39fEm4GhOFAtMecEGEj2J8GuO7ji5MYTFDuRbiFBEYdtkcEQVsy2OCaAhFir4lvXuNUpbou19zrY7AGFobYPoDbtcQJgHJ8Yg6GtGeP8F7STeaoU/m2CCA1TGRb6g6zTY7ouklnTOEoWdfnvJqU+LGcygyVBIxPQ4RRpG9PIf5HPP6a1S1QfmBdmb3LXaxILlcoPoat91Tt4LD6AgnJdXoCPYVYb0hicQAA3r4QNsKpBwyErayJG9+R1ld47UhXhW4oqCfLMlVjVYeXWZI52jGq8H//uYtW3Ls3Zrm0OGkZPmjOa4cIQPNfnRM5wKshejuLa2IBlbD128RUTxsye73iDjBv3yJXK9prKHVGaE7oPIMW9UkP3xM0FfU+YxgOsafndDrmJAWKTy308f0oynlVLO770gSQdc6dBpR6RL9+Jz9HsrTHHlzjby9YZss6YoJalxye/YTtGgQmzVmf4eRFlvOkHGMWc6oNi2+7xlllv7DNeruFtnVJKrBGOiFJro6RnQdLk3oekkrAxSWSNuhpRIGKBzXHyz+j36J0goVhfjRBJ3F+LwknBbIUQlJhBgVmDJn5zJc44aWifDYxuGNYReMEVoS7e+GcOX8iGh/D1rRpWPE+Rnu3TUmkDgrAFDv3mLNoHzO7AbzcM13//oviPOAWkWUs4CQGuslh7ik2+3pUFQ+GEBYnafb10gl8N7RLk7Q334znEVbP1Tu9g/kzQ1BsyN1W/S0BO+RUtJ+9YYwcLj1gUQcqK73AyzpcsZu9ojoYolsKuh69K//I3a2BA+sVjCbES9ygmpLR4itLXz4iLo8Qy9GCBNSpxMm29co6eiDhN5KDjqlFjFprtmuex5Wz5GffUrXC8LFCNG0bP/iS7p0Sni2IM4VedjRxiX9pmKrSsIYAmnZz87oiilEIbMfHOGOTmkvnxNkIcEoQeweqIsV/dv3SDFYAOPdR1RocF7i5zP2D5bwxWPqfUe7qYfcV9MP+ZV3d3QE+K7HJRnBLIcXL1BpiBpldL1jt3hEl5bYhw0ojRSC1kl0kaCMpvzkBLFcILKEJp/TH10O5FcVEx+P6VWEmowxkwKlJCQJ/YdbxNERRAH67zID/40vKdChpopHuHI82Ov2nmiaQBTROkM21oRnc6JcEeeaanqCaCuIA+7/02samVIkFuE6vDfgYCczTBFjThaohxvUbMx9uELsdpClmNmILOiQ0rGbX2JSQ7trkbHBKU0aObpiTGYf6KKcINPkD6/x2hAaSGWN+PY7mI5J3ZY6nVKdPsJeXGHjnB6DzmPScUj8k0/pdoMDQGcRNC3pJCSUPenhlmQUYfct7fJ0OBdOI7zwaA0qDJj85Iyg2nD/2xsCV+Pfv8NFIaOZGhoR4Rjfe6Qd7F1dlCMjTRtkqL/6S+p1i49T2nWDNAYzLuiCodfNqKAKRwTHM8rHM0waUNcekabIvsH1HrqWdrRCHJ1g58doBZ1JkOHA6M8STyg6xOvvELajjzO09Mj7G+xiQbiaoKVg+ekEygJbjDFZSLPuERenhIti6D+ffI+U7RW9MFgvqDtBZHpcOaUVIVGssCYm8RXho1N6GUGa0ZmIihjd7gjLBJEm9GnB4fITdGTYr3tEXtAuT/BdhxrlqNWU+JMnNOUcnRjcZEazuqR7f0NbziFUaCydCAg3HyAvCESL6FvszQNWGNSopDu+RL15jbsfFgmhNO2mwQUJMsv48JsbotRgqgdaJxFagdK4pqM/DMdTJlKY928JZwWiblGBoCmX2GJEfbBIpdhsJf3thnZ1RmsSdB7gkhLikFi2OB3y0S4xSYgeZzQypd812DCmXyzoxksiKurXdxRHOcI7tG1pG8t+fEpsDxjVszNT4kyhtw8EzR4/mWGv79CjmLbxiDjBKD+obm9uSGWLenSJlo5gnGHE0OLIUkFS3cByibi7I/QH2kbTuABhJDYtkN98Q3K45vB2jQxDmEzxacL9bz7SNmLQGYch/vqaYH2LuDon0J71yUu6bMT66CkuyqhHK5yHdR3TtCBnU/psRBcm9Bbcw5aAFk1H1Ff49x/ZTc4wrmF5/VfYIEJVO8wo4T5YIPdb7HJF7zxSgHCevpwjbA8Pd/imRUUB5vEpcbtHLWc8VJqdKaFpMO0eP57h6wZz/ZpgPqLdt2hpCf/xn1DVArVbIxdjlLUcdp4gNYSiY/qLJ6jFBO89WIvb7pDHR5jVBF+MUEYRaEG4yGFc0KHpnOBwV7P/iy8xEfRHZ9TlDLHdw/GKVqbI6RjKHC8kRDHORExeLhDbLZGy+KpCdRXVvieYFYzVFq807eIUgefh+AUtAUJK1GJK8uIMdfcR/31tz51f4KWkVyFxrJDHS9jV2Pcfh4pfoBHzMZ1TjF+uYDQguV2YYfc19dtbmqBAaTUMCPsW6yT60QXhswvMak5yNMYFMb0PEGGE7Syt09gwxuUlbTYa2gNlSnQ0wU+nSG8xT84xn72gS8Z466DIcPM5alIQnB/hZlP8xQV0luDxOUQJ6u+Ggf+2lwo09lCjn1zSnjxGnazQxqNDg1gs0Ccr9jYlXE0pnp2QphrnNd2uGXS8mwaXF+TigC3GSByt04RlQi80ptoSjRPEco6+OEZu7mmswc2P6KdzVN3AbE5yPGKnC2JfE5Uhru2YfTIf6kJdgzo7wRwe0JOc/bYneHKGay1KQRgJJjOBXi3YvTvge08YQuM04vSYYJxxuOtoW1CXp1CURD/9FJ49xRhP+OYbcnMgKQxpJmnikvTJCZlbo6sD2cUMFcD6uw1hHpCVmu7dHUaBDRJoenyS4O63xOcL7PkldrIiOJnhNxuy0xL54gmjs4zsR0/prBi63mGCnI4Jjsb4KGF326GFp48K3M09nc5wYTScX7Z7GhESnC8JFmO2W3BpQZcUxPMMNcppG4HuKkQSowMNcUQUCfzrNyTVNWF7wAqDbzpCMwTr1MkR0dmCtpOIcqiiJamgmR6xV/kwHNU19ewUU8bYIGaTLHDffEtEQ5uOCNoDXZDB6SkqiwmaHW1S0p8/wpzMCE6mVFtLP57i1nusUOjz1RCEu72HOEG/eEZh70EB9QEXJ8RFQBA4+ts1sezZXrykz0YEZgC7dFkJfcf96gUmiyh2b0higc1z7K7BlyPkZMT6t/dk4wBzcQzn53T5FBUqLBqHIro6wuoI3R6wm82gu0Xhx2MOyZS+nGFu3mI/3rD7y98jkgQ9znHa0N6sEdYiIoOkp5wpYt1hXEsyMvRVQ6R63GJFnAny4xHjRyNkGKDKnOrqJWaS44VBpgHR+QKHYDM65eBiqrhEjTJca9Fdg4tS7OUVtC0iiZHTEYQaO57QtBIRGri5wwlN4BtGcYvOY2QaYQJFLWPYrkkjhy4T1P6BetPRfQ/46q0nWhbo777GtR27Hbi6A21IUtgXRwT0MJ4Qqp6qVjSrM8KjOSJL0ZdHw2vw8iXhvMD2Aq9DAhocEl+MkaN8aOeUBcn9W+poyIuYZo/sWsJZAWFIvzoH54bQbXPA9Rb/q79EbNYDLj0IkT/+Cf7FCzg9I87V962IDJ/lKA2tMAOIDNjLcjDilSUsFuj2QOMj+tGY+nZobISrMVGqiI6nqCIl1S1iNMJud4hHj+g70NsH2tv14Lw4OUNt7xG9RQvLu69rRGexWUGbjujWe5JlwWbdE2Yhh2RBPAopzifYICKexPjRiNjU+GKE69zA9b+9JZwV7CuBz0rCwDN5OkceHSHimHKs6W42+DCmbgSGHm3bQZcuBNHHV+gyobu5g/2B+v0dzjp49QZ1doxve8RozH5xOWjnVcA2OcLdbzGHB2qZI7oWZlPCVKFmY6TwhE9O8EVBlIgByd6qgS9wfgJFiW1AeI8RHXsbItJsYMcojxfQ1D2uaWG9I3x2hhDgbY/Z3mN+8TNEGGCv77EywLfdH2xd/Fs5DLTbBu89YeA5+vkJ9X/6EnnY0zjF7qHDBwG3Gznc7V6dEp5Ocb1FjzLCaTqEQvIcKTzdix8w+mRF3UJ6NcepAL/bo5OQIE+wXtNHBTaIqA6Wzmp0HoNS1J0mooE4RgLV6zvy7XvCWUbsK1TfcIimRIHDe4GJFK2OaLY10ShGSeDrb+iSAluMCLa3Ay2xlzy8q/DTGWK7oT9/SrgcDdrc2ZjJRQ5hRMqB/s01ukjYVgrlWmTfo2WHvr8liaG9XiPDAPNwTR8m2ONTWhngFjNEYAjqNfFRiXz8iHBZsvrlFRJB+niGMwHi4wdGj6c0MkZHGlnm1JsWUY5oa8/m9QbbWeoGzP6O/NkRVgWE9IRlxN6M2N23mDJG3VwjjEIWGcHr77AmItg/QF4SRBB0FUEWoh/u6PYtSoH9eEvnNbE/oCKDzFOqN3dUPkRkKcnpFDmbEZ/OaR49J9CQ6Yb7aEmwmgyZi6bj4BPsbElvoY1ynAmJFzn5xZhwOSZaFNjOUywTAukJr04Gi90kIZnFw/Zg32CKiPtffaQ79ASBRyQxKgxoa/BBDNsdvYrwdUtoPLudRJYjYt3itnsC7dCbO4yBzePPKNwDbl8xupjgkpjsqBj02WXAZK5Ro4Igj4lGEeFqgpyOkFGI/MFL+qxEx4IwC4gWBeknZ9hijFgsqYslLGZEr78mMhZ5dkyUKlyYgZDUX7/jPjpGxQHB41OiyyWxbEhSiRUaJRyNjRBRyMOHGjmf4usam5ek//iXBMsxOtGoJKL8wTk2L9mpgkpnsDoeBjgE3cMOfTRHaIO73+Bfv4UwRIYG14HEkf7gCgJDVcyReUY5DwgCEF1PX0445EuywzVBrAdpV6eojh+z/D/+KUER08Ql5vo9ruvBOWg7bFGiThe05Qx1f4d3FqmgOzqn2feki5RxUtOYjHgcM+o/0nuD1oLD4gIZKijyoQb4yTPCSYrIEqKffUp3ekE7PabLx4izM/L1a7JFSpAY5KMLnIlQOALZ02waum2Dm85RaUyvEtQoo8pmtO9ucedPIMuQkxH7hx5pG3qdEB2NaTcVgT1gRUB3u6Y7uaAvxmjtBqWzDAimJSQpeQHRi0vUas74LMM+eUYUSco//1NaacB7xGhE1QZQjBjZe2zdUP3P/5mDC8EPhELvwQcRo6Qlzg3hkxPc2RnB8YyzFwlFe8v+t6+Ro5ziKEMZTZhqvLPo774ZdjGjmHBWsHEZFkGvA0SZ44oCF4SIKIRqj4+GZoRYHaHTiC5M0VKij5bId295+F++pdm0SAlqkqHqHX5UMPn0iNhu6aIUNx3TeY8oC3wc48ZT0p+/BAR4UK+/Q3pH0wqCNCCepkjn6Lc1Mo2hbYeKdNdi0dz+u+++P8I5hukS/zBYHxsZ0QlNdHEK1zf4f/Nvkd4S/PGPscslwvWI02P6ffUHWxf/Vg4DtulRWtLvWpovX9NazeZ3H5FRQHN/wAtFtR3sa6NFhI8i5p8fER5NMFlEe7eDwwFtBOZkxc5M8cqQns1IJyGcnSPyBDPNaTtJOIqIf/ySbtOgljP6YkqzHrTFSksKXXHIZqjvvkIlIX48IegqmvshVKjGI5KrJfnTI5oG4ocPNKMl3YcHQg4EoxizmKJjg5qOcVdXXC4bgqsV/dEZ2cUU7Tryk5L+4UA8Tcg+u0AbiW0aKFKCxZTky/9Ev28INzcc/upbQuOITiaI4yOEFJS//ITeG0waED+9QEcau6+QF2cERzNEGoMxqMV0MAmerHCrE7S3qP2WMI/QRUSoekaLkPwko/n9e3akSCWgd4zrd8jzE3QRs9djmk2NzhJMGiC6BqUV+vIEsXlAPdwRBxaxWmCiCKEl6Z/+EB+n1DImSoPhdUpDwt2gZU5Ox7Triof/8Ap1cYycTcgiSzJJkLMp0fMzyp8/pY9SsmVGeDKF7R6RpVAWuH1DJWJEFuOCEL3f4qqa7HKKV4o0ckS7G0R7IB8pOhVx+t+9RLYVvnck02xwV2wPFG9/Q1UuURJaGaLoIYqRfUMUS2wyLDTh1RK7PhBngniSUt59SziK6XyInJZsZEkyT3Foth8PBKdzZlc5sjkQ0NA8VBjtKE5y9NMrRJmz/eZu6NgvLtHnp8x/fML0T1+gkoizPz7Dzya0vaTcvUXGEerpI8zpkqpcoaclVij6z74Yzj4XU3bf3iOTmGhe0H32Y9RiTBtmyNWKJLQIpXC7PfbkFCUYWPBhgG0drUkIf/ljhFTse0Pwo5fo5QSXFjQ6pZfBIAPrwe8P2LMrwsRg0xzpLG40Jv/ZS8Sf/f1hu3Y6Rnz6clBbW4EUFrWYw8UFKglodEablMNwdjJHL+fYm3t2fYiVgxdkF88J4gA/mSJsN7AueoGLY4I0IFqUmCTALo8RozFyPKb3Ai8lwfkSFQXDHeLROZGvUUmIXk1JjmfYZ5/gzs6pZEKWWQCiTOGjhHiekn72iK6coYuI+YsZ0ShCLmYEtkFICYcD6dkMPrzHPX+BmM9wmx27398R2obGBUSzlD4bQWdx5QQzzge7YT7CCIvXmiYZE9gGn+Zk0wi5WhHMRsj2gDMhUW6IHp3idzXyeIk/1IOOvKnwj67YmTEuSvHLJVEMblOBtZgXV4g8J57E1NGEJ/+7pzghkU2F8Q1ivSVt7jh89Z65fYeUApuNkH2PMRAUIcbW7G2I/89/iRQQTjLsh1si48lfnGJ1QvXmjv52iyvHtOUMWaRstxZzfoTd7Kh//TXNhzXee7TvcOdXhIsxzZvbAbz19BFmtcD3FleOsSamNwkmj7l/W7FdW/bRBGsi0k8uULYhXBTocUqvQ5yOhrt/KdFxRD0/x/QHRFECkvDJGdIo8J4mHdMvjpCznK7qaV5f4/YVKolo7mtc3WKMHF7fP9D1t3IYkP3QczeLkmCasc7PiJ+dMX48Qa9vyS8mBMUQJKHvqG4rollGkmvCTKO0JK4f6Kue5HLO3XoQuWRXE+KTEcJoOh/gj46ZHymiXLN6OUEXMdGyoD05R8QBWnqSeUYwStCrGZiAfa2pD464ucd7QfyLz1DnJ8x/foGMNNJb5O01zdkl2f49t9kjRn/vc1So6cMUvzoiXpXkn13gGk9TzCHLh1e6qpHjEfHJjGwaYPcNwntiW5MmHofgEI9QoWb/q++g60lmCWERopZT4ssFtrWUj6bIUY7uK8KuQoYByfEYX7fsGkNyOh7MausKuzqim68wnz5FHdZ4L0iOJ+QXY+o3d7hyzFZPiM8X6OkI2RwIXY2NM0giKp/gjo4IXj5Gbh7wj58QXp0hs3gY3osSjo4QviMQ7cDPX07on76ku3hMdXxFnc9Zx0OnWOPZ+4QgMwSBhPWGdn0gHhuydk3y8oryB5e4syuiSUJ0saDpITpfQhgj42AATBUj7PyETmgO8QSVZ8yuSuTmHj68w1qJOVshdluU7+nvt4irK2gb+Pxz+qpjcjXi4DM41PggAAS9NBCEqOZAFY7Im2uSwlD1htFqOGMORccka+jSnO34nGayQoeKncxpWg3awGyO3+6YTATRyZT+7BFR6BD3N1ihqF1IPTomfX4G08mA4RWK6bMJ0aNj/Oc/xqUFSji6cgaffDIsqKMR8YszKHIEEj0fo4yi+w9/iZmVREcl+uoMfXKE73rSLx4NddIowCwndL3EhxGhdpCXVNbQ3O1oNhWu85hADou/UYiyRCQpbT5l9g8+xaqY7HwCkxG6TLHTGe3yhMMWHtSE7U3P9t0evIMowe47ZNuRZAo5Hw8hwiJjP5oj4hgTSpJFQaAtFRF9OSVIA9ASMZvgxnNUGmBNSONDyAq6ThGOYvKrBfb0lMLU6OWY7uSK7HyKmY0QnWVxGtKoCB+HlIuYwO4J/vhnKFuRiAoRhcg0xbQVfZQRFjHehEx/dMk+nrGbnVNEHeEnT1HHS4LVFI0dKKPrNWaS4cYL7Ne/x6fF8B6vauL9NVYYbDwieHGFiyJEoLEqIDn7Pjez61Baou4+EM0zXBwj4whCA4Gi27YkmSL42Reor/6KcJLQxTn7bI44XqGFJf/FDwbscpCi9fC7Xr44QvSW5GI1YKN3PRZFlAVIo3Gn5xQzQ7XraMfLIZtQTkjORiSnk4HP8A//mCANCQ+39L1AxQEyGYiLIgyg75Blhjqes/xiSXO3w1qP/tFnHEgII4XsG9SsINje0G8rehEOIea6I7w4QtMTRILi+QoxKtG24xBN4eJ8qHyfHKOaA3e/3+KiBPe7r1HnRxAmlI8XiCDABAJX5qibaySgPnlO97BH79eoIiFQlmhZEj06QmiDbyytiFF395gffgrOYR+26Ek+aK/fXUNgkMnfEQj/m16iPuAcwx3jvKB4NCa5WlE8O8JLTb87kE0ikudnyFGBVSE61KSxQ2cJLKYkkSdYjlGBZnaa4BZHhP0ev68HCEfVE51OiEMPz18SLkqqBuRsgj49BqMxWcBsIWlNwnQZUP7xp8jZmHiS4coRfWtJz8YQGtJpileG4qxEpQnBkyuauMQXOdXRI7o4p50f4SZz1m8P1A81gXY8fHlL5UOufjLB/dXvmDwdI5XACItNM2LdEyWQJKCaimCSoi5Oh23BsiBZZggl8Z1j89UtLs3AusEuZ8zAAr97AClJVgXxKGL0YkX8yRVBGtB++5b7b+5Z3/TY5TnttiEpJMJIgiygefIps6t8ANf89DNs64cMRjHH6ZhOhkx/9gjR9xzKJfHlkiYd4xdLzGKCGaWki5TubktgPAhF9oNL5IsX2OWS+O4dapQNhLkioViG6CQgSiU60my/fI8YjzBJSH4xpH0BLv7HL0hmCXEZc2eO2FWC3eoJBxeijhbUF89R2rP/6iNNK/Enx3Qmxjct7naDXt8hH1/ijk8Rtqc59Nz97hY+/RQCjdYCLS316WNMHtDqGE2LtZ794hIxSmkbyJcZ/e++HWpHWkCeoZ4/xjy+INKWcDHCS0VxMab2MSzn2HJMlEp20RxzNMXHEclnj1DVju6hgvGEetNQuaE+Rt3gnURFASoKWPxgQThN6fIx/k/+hCbMhtbBfoNKYsy0pPjBJe2+HRawhWZ7U7P97o5iGaOXM5SWNJ0iOp4NVa/Xr9HNgRZDvW4wkWT+oyOyLx4RZDG7376ncwJFT1c5gpt3jJ+MiRcFxTIlnOYQBqgiwbuh5z35P/8P8OQFcjkl/fFLtkdPMGVEfV/jlSbyFRwOBGfH+Omc+t0d3X/4Nd22x3uwmz2qb5F1jR+PyXKJEp5omlL476VhPiDoa7a6xKh+oPXNpwR5iDQBceBQiyndeE5c3dFFBa6zg7woLYnLCP/FF6iHe8TxEfnIEKie4nJCf3SGyiKsMtSdInl4S+MMk6cTtjZFv3xGeDqlnZ8y/UefgTFEixwZhcz+7BNUVyFvPtDnJd3ZBWac4lcr2jCh6tXgoAgM/b6h3veEAajVDOcFYjbGpPEQytxUCG9BCMoXJ0SXc+JJhMwz5IcP5KXCdoLKBphE4ZZL2soinB/kQEdjguMZ5mRJKmvMswuaTU913wyegiQlPZuAA9nUyPEYFQUQJ6g0JEojos+f0hcTZBLhFiuCviEpFLrvMIshbByVMdHJlO5+R1yGpMsMESfoIsU2jmbXY4oItdugry4JbUWcgBiX9NuK/ZdvyV//FWEi6UzC5ub748flnMM37+lUiFpM8Z1lXxzhtwfaIMOnKV4F+OUCwhB1cYyIY9yjJ8j9FpGnmGmBmWUcOo3KIoRWyHFBMM0QtoUowIUh/a7GPX6Of/Yclefs/uJL0Ar34RqnzRA0/ANdfzuHAWchSRgtA2RgSOcZfdWxswkiL2gOjrbq2b/doOIAhCCehAS2pjjOMEcLwmVB+aMrvBdk84TsTz6H+w0mNggBMgwxWYi+PCVOJXoxRZqIxgf4pmX/YYcMQ2zT0Z0+wtUdUa4JxgnpyzM4OiY5m5H/5AUkGdEspasdgbKg1GAkfPaE+aMCKSCwNerZE9TJkuquwjpBWiq62w0q1MTdFnv3QPPte7z1qNmY+upTeq8IL49QRqCLocoljpbIT14gRiXVv/8NtrNYEw0a30en0HfsKqh9hE9Smuvt4Ji3LamqMdOC8nJC3/So/Zab//k7XO/JLif0Hew3liiSTB5POFn2ROOYzqSo4xXt6gzrFX615HBzwJQRJ3/2HFt3yMmY2eOSMDccPmwQUYARHUERYYMU2dT0nSP+6SekJyXK1shqT1xoRN8OZ5HCDvKXzZ52V9O3DnG0QliHTBPcoeJwW7F6PsZ7j3AWdXdNdP0O13uak8dDPXM2QX71JQ9v9wSBZP5sQlOBc2KoZtGj8hg1LtCLMfr4CIxCnB7TFTP4e38PtzzCjWccbmt2o3PC5XgQLomaNIbyszPCkwmuaQlchVAKe3xG9sefE55MMfUeWWaIi0vuv9vRN5YPf3lLuBiBNvQvPsGHCXq5oGsFnZP0XoKzTPUWWsv924qml/ggQGcxURkSZYZ8kdCXc9S4pN31g272Zk20yAmkJbw6QjiLm8yRtqVZnvJgswGsslyiTo8QShKfT5GBhtdvONzXUIw4bC2bDzVBpJGTCX1tadYt6uoSc7bCjDLUak6Uh6gyITyb0X+4HVTKoUZOxgRnK+KTBTKLUFFId+ipkynBOOPjw+AI8VIi+57AOEwoSd0W33vcx1sak0DfE9LQxiXx5hp1cY44WSHLDHPYEcYKjpbUKmarxmwPAe3JI/R8hP3JTwfvSFlwH63oy+nQFslDjPHY61uiSUx6PMaWE7i4QKYxKkvQ04Jokg68jotT5p8saHYdbjbFaM/8R6eYUYb+5Bm2GGFvbwlHCUxHJJ9cYJ0kOJoi9oPymCjiITyC0QhGkwEbXjvab98iH11ifv5DbDHF72uaRmK9Jrw6RdT7gc3fD+0VoRRyPGLyZI40mvlFAqsV5ctjXJrg8zEuynGzJV7IQdzTWkweI4wiPJ8j0ghzvMDf3KLGKZycwuUl9D3Bt7+hb6FcRPgohOmUtlywuatJU2j33eC0mKbYMCbXNS6K0FmEOl6hjECVOSpLyacROk9IPjknPp/hrKMzMSY26FlJt6uRrgNlcJs9yeGO7W/eYz9cU0wMTKd0UY71ED46ptp0GO0Zn+V0VYe9fARGE5/N0Lalv3nAHZ3QTlb48RQZGESc0LgAm+bsvnpPH+aYs2NE2w2Uw16iVnP8fIXw4CczemHoGoeYTlDzEc03b0m/eIyII7xQfxcg/G99Ba7hfVOg4pD2fsfBhWy/es/h5kCwHOGkRiDYvNqQzBKS8ynpNEEFw92TL0tm//AzonlJkGmSx0ue/U8/GRLwfoCQyDJlejWmXxyj0wDiGNUeaDYNOEu6KpDHSzY2R794QnB1jFURezLS56dwekLwix9inl4NtZzOUq+boV9e5Fivmf70iiAQRIlk9nRMscoRWuEd+ONT5s8n5C+PKZcRYR5CFFG/uaFvOvrxAvXonL4Y+rxRv0dfnMFiQVf19AzJfL/Z0t/vaDCDm6Fz9JuKRhfDOXIeU1/vMPWWkx8vKc5HqF/+DC093fUDzjr6HsZPJphUo/db+myMUR5pFLFqcU4SzlLsbI75k59j0xEuSBifZSgpaGrP5qCwXU+aC4gTquUl0TTD/PQL5Js3mH4Pkynt9Qbf9mgt8CYmyEJUnhEuSux4SusVk4kg0D12cUJ9fAXv3kPT0I7n3P/uBu88++sD6SQmXha44zMCGqrr3fAhqDyy66k/bqhPrmh6gZRwNK3ppKENEqa/eEp6viCfxxgtmP/5L9F5wp2fsNkI4k8fYbMStMQ6CB+dIIMAG6T4u3takw2vWdMipyUyDJHTMeuNIPrTn+HSgt5CkMf4MMJLyejRmP2rO0we0e0bXJxzu5UEqcT3jt2XH4aU/MMaF0bIcUHrNNOFobiaoiJDlEiEkujTBfKTF9S7fvAIvP9Iuz4Q2j3xiwuSoxIfxaizE3RoyH76kvbsMVszQcxmHBYXlP/dz4bt4Y83uN98xfUuQYue4vMLsk/OhmrjozN839N1DrIU4ojkaES0GpN8domZFISjGPf+I9nzM8R4RDSKSP7RHyHjkOzRnOMXGf3bj5QnGdGiQL98ij00dM4gIsPy0xmqSGnSMW06QjV7gpM5wjm6uw1NJ0ArWmlQqzl9NiFLe5LXv0PeDh3wenlOpwLSRQJxjBhPufNjqk1HmXuabIrCY+ZjojLGfvZDVJognz4i0g5fFHjnwSjk0THeel7+2XLYpStCpPSYkwUf/p+/x3Q1VihEHLPfOjSW9t0dbnWE/n/8W/QoJVjNSJo7VB7TrFvcZExdeayFsbtHfPcdzcVTxMUF6vEl0aMV4uNHgpPZEKwdz3HW4x/WlHELWc7d7cBTMJ+/IPrlFwD45QqznPDw24/o1YT0KMeuN9Qmp40n9J0Y3AFCoMc50dEE8eQRUaoJ6y2mTNhXEnt6QfnDKwg1/b5Cnx0PcC6fED46Ju03UBTYukXPisFFcTSlna7Y2pTkqEDNp/iTE+yhhulogFk9OUfHGrTi0GqUdKjTI+p1hw0zfFES3L7HuUE45sdThHPszAxjJNH9R+LliODimMlUEQWO+qEi+fFLyFKCLCY4XeLuHnB9TyVT2G6IfvlDkpMpTkgYT+ilISoDkqMSVSTIx1cc3j0gohAXDjvQezvwGfJlSHO7Q56sCI6mlP/4p8iyoKu7oRnzB7r+Vg4DTePp39+iteDr/9t/ItleExq4/mqN0JL48gi5XuNaS3PoiU9nyFDRrM7Z7/0g/3j1hvR8yuLzI9LjMcE4RwYGPc5RcYAXkmgcEx1NMJOcuvLIyXBXFHbbwbP95BHy9AShh23jhyZCJiFBmRA+PufhnsElv0gQuw02iNm3AebqjPBoQr7MEUlMOjYoo7Bf/Jg+KelaS1tbdBoSlCmTswS/WCBOTnBJjn/7gbfrhLgMOfnjR+w/bHHvrgkvjhCBQfSW+HJF1w2KV51o/GZDs6mRWg5Usl2NCA2+6xFNxTjYYw5r4klM33qk8rgO7t9Uw5btOMQEmtEff0K1d9img8BgUeyTMTIJcUHCd1/21DKmeDIjmOUIKajuG4hCqloNPdwowoSacFGij2Y450h+9AJ/dQXO4c3AZK/6gOxqRqYqGJf48aD1bZOS6LMnWG1oe0OTz2hFgHrxDNf0g65409BVHfF8CAttj54R2AprPbvnP6LbVTQXTxBZTvzkFKEV1gpckhMuR+SXU3QgyZcJ3nlGPzjFesn6fUXbOIJJgkcQjWNMIOh0Qvb0CCYTfN3gN1uSqwX9tsY8fYS7esS+0tg4x6xm+NGEw+oJrhxh6450FnP8ywsi2VLfbKi3PZu/+JL1725p95a4UDQmR5yfYadzmuNH2M7inSfMNOWjGaZMUEYgtWS7htHViP3W0euQ2/ctSkvyDEQcEZXRoCQuM5QRFIUgD3vkao4Z58x++ZTHf2+B8B6hFcq3xOv3mDgYBth+j3r3hvwnz/FJQlhEZD98iijGmCJG5xEqMKjI0B9aZH1g/D/9E9zRCfMfn4F3CK3Jf/x8+L7ljNMvptz1JZPwQPT8gnZ2hDIKPS3oeokwAVHzQDLPSMqIzes1m5uWdrxCFinJIsebiGxiMJsHsD21jyk+OSZ8doWODNOyw/cDMrYNUu6nTzm+CFE/+zHCSFySE5+Oue9zvNKMf3g1VN8+XiMAlBo0w//4j3BxOoQglaTZNMirS/Z9SDQZCItdmNC++kBgBM3dgaoPUO2ezVc3CDkclZjVApZLmsUFIo5JpgmR7GhMSnf6CK8Mo/MSIQTSNiSXC8LjKT4w0DuEAMUQYtxVw3vbFAnB8QIhGKqcRhGtRoxfrEhCR/Pmnj6I0aME1VbIIqV4NIO2Q8xmNPEE0+5Inx5z9CQjKTSMx5hIoNIE1TXET05xUUo9nrP42RXB9VvEZEL17o7RD85hOqX87Jzw6nTwm3zyFBEMDROznCJOTtFZhLeWZBRCEA5ZJgE+iunnK+zRCUGqkVmENwE6DXBZgTcaOS4H1bWyZE9W5BcTxO+/I/AtqqkIz5e4xqHSAPH0Mf7mnsP5C/rGIoKA8HxJclzgooTQWMrzEaFr8FKhT5aYn3xOc3/ACYN92OPzgnwc0EvD+B//mPZ2i09zVBojtR6Olu/r4fjkD3T9rRwGqocG/+XXdA87AtFC39DVHbsPBzoZQpnTHZ3QVy3VXUu6SMlOxuw+VNjWU2aW8SpAzKaoIiMqB0Ld9asDwTjBy0Ha024bnDKIOObu1YH8p8+Jz6Y4J4lXBcmTE7KfvxjsbF99Q7QcYaTHjBLCswXCaHRkyFc55vYD8TjCXB4z/vlTiosxSWyHs33hh62nKCIdBQRJSFyGdFXH0Rcz+vc3Q/VKDLWdettQPXQ09zvCImR/WyMXE6rbHT7NaEUwLPpRgjUR/P411kvAU799QGpFGECQR2RBS3S5Qn7zzYBdlYL+m1eQ5fi+IXzxiOhijpJgioj4Yk518GSPl4hHVyTzjBf/l18wilvqGjZbQbCaMLoYU5yNcM5z982G3inu3zfos6MhXa1AzKYk5wu81Bz/aEn09Izy0ZT8JEfnMSYJcOWYZPMRshy3rYaUd1WT54rkbEpylA9myctHyMCQzFP6uODh6zuKywnpNEFHmsYkAx65mECS4uoWt1iRno2Jj0p8kpK8vMRLjTu/HI5ZvMPkIThHejEFPEmuBy5BqAbyXW8x9BT2ls3WI/qG/m6HOzkjWeRDGOloSvLzz+gOHUIJeHhA0HP3akd9vSNNPdn6LV3jMWk4GNiAMPBkd9/h+h4TKnycIPOM8Ec/IHlyjDpeEBqPPFoCDMG4eYLQivbQ07WC8MkZrQopni7wl1f43uLrCvv+htTtCGKNPFmhmj1x5BhdjckmAemqoDyf4K0jDXvM5Sll3CAlw3P35h3+xUtEEiPShPM/OWX1+QQhPdGzMxBi0Bs/f4T0nvDHnyLLnPB0iZiMwDpQQ81UhAHn/+CSKDPURNi8wOUF8bOhs09vscbAYsG07DFJgAwUN+8taz0hmJXkqsb+6jfYpiMcf9//T+Jh8bk6Jb+ccfGLFdNnM5JxgHWefryg/uynyHEJWY6cjPGTKSZQVDpn8mJBX/cA+MurAamrNNJIZGDoPt6jrs7Rm4dB9PfmFaGv0OOc/GcvqF1EX/dILemDBLTBfPIcrRyHN3cErkY8e0z+p18QF4ZmekTfg+0t+3BKelriTEAyS9CKoRVkNPLqlIYEcXqCKnN83WLv16A1u/sW3/bIQCNDQ3O7w1lPPo1ITwpUqHHbikMN00clviyp3m8RRcFyJdA/+4K28fggJPzkESYUFPMQnEfkBcnlgpHeo5oKHwasPlvQ3a1pb9bIcU6/aTBZTHlZoE+XGNcgcfjNHv3yKb6zjH58iQkVcr8f2gexRkwnjJ8uoB8GGy0sbdUjDzt0WeB6j0egjubYuy2EmnCW4Z3En5wQXJ4Qmh6pBvS1EBLyDDmdIp49xQvJ9Itz+iBF//Ln2KrDf/0t8vElSWjhsMfdP2DPLwjOV0PV0yU8/OVbmvd3mHlJUiiCSYa4u8e6Qa6m5yXRk2PMyQKMwlX/fyoq+jf/5t/w53/+5xwfHyOE4F//63/9N/nj/jdf+w97gnZPu22Grf3NPeEsx1mHNyHFcYFtLdEoQqeGINHoNEAXMc3djuD9G9LTCVEZkD0/Ge7clcLvKsys4P5BQpkTjpNB0JKmRJOE/HREEVn6qh0m0TCAJOXl//4R2cWE/HyEvLvBv3lP+OiY8YsFMjAEmUFIGLk7fNNx/uMZCEE4K4nnOR+uJc14SbV3qCxCzwvWH2pMFiO1onv9EQ7VYD97fsm+MdS7DpMYosAjdIC+PCOeJcizM3w5hssLqnVD9INHg4az9gRZxOHVLRILQcDZ/+HHJPMYVe2ovnxDnBtE2+ABEYcE9Iyezln+/Rfo0KCNJMgjkss5Ath+qFChZHwS072/Z/fgcFKRrrIB6zqas76z/P4vrgeSmFYIIRhdjoZJXaTkf/9H8OIp8fGA+Cz/5AdDU2RaMPp0RfKzT/GbB4yG6EfPUXnC5CSiK4fz5Ww2EPtIM1zvSJ8eUX5+TnmUoEKDVILZcYjUEJ/NyT45I0gClBLU77eUzxaI62vafQefviSaZ/TjBUynBNoNBDZrEVKSTmLCVNK9vUEEAX2cUi5DurggGQXYtqeIelwcEX/+GDnKoK4hjDj5yYrpRUqcSrpf/Y4P37WoUc67v3hHuQypa+hQ6CKmf39DEAhmK0357rcIbWC3Q05HZC/PkKvF97yMkMj0f/2+iEfRkM1Qgt3v7ykW0ZBz0Ir64xZ3ekZ7/YDdHnCHilA52m9eowKNUQ55fsJGTZGBAsAsp6A1sj7glkcD8z8y7N7vcD/+MYTh0Ev3gmKZsv/1O8x+gFjJtiEYZ0Oa+/17gkdnSCm/pzjOh0VeykF+VGZkqxLbO7bpEZUpMdWG8NMnMJ1BHKE+fcnmrkdPRohRijAGQU/z6gPdx1usjml7QdUqsnmKMoLrVzXJ+Yy6kpAmmOMZ8eMT7L7h+m2PDRO6uMTnBes7y66S0PTo1ZTiajYEaJ1GlAX6aI6MAnj9Cnt9j1ASIQXH/8MP8ReXpD96ThBr8pEmSBTLl1Mebizg4ZNP+Lg2BM8uITAEp3M2v3qF/OQ5Ms9YfbYkzyWbL2/QZyvynzzBv3nH/uMBuX7g9a82CCXwUg2mzySmFxo5KREvniGjANG13GwiuqrH1gMzX8XBUHV2nmSVkYxiVBaTjRS9iFi+mBDNS/z2MPA/nMUlJdWmo4lLxj99jIk0YaJxzuMWK7KzCdkqRX18T/3qASM9/X/8DVxdkX1ygUd+PyB7xHbL7JdP8HWDTELUxQk+CClOCnxVE54vCDLD7tff4Q8HmtcfkdMSv97jDg3S9WjfI+OAOFN0OkYmMc5ostIMyPPravg9DQzq/BQ5m1CHJfE8Q09zWmEQWmNnK8aPJjStAKVQZytUGhOXIdGsoC0WiDxn9HhBX9shnBpKjHYD/vzpOfHRiPB8CU2L/vHn2JOz4XfBGOJPrjCjHF2kf4glEfgbHgb2+z1ffPEF/+pf/au/yR/z//XVND2cHtNZjcoSyv/+jxA//QnZLCa9mmFCgR5lJJMIqcQQ/nACFRq663ukH9LI4/MCISXJNEGnAck85d1bj0kD0uMRxeWExeOM6OUV2SfnjD4ZOPruy2/QtiZbJuS6QmuBq4bgTHlekpyMkXmOCgNUHKIvTtCfvkApTzwK0JEGQB8vOPq//hPkfEYfZRweGoJEE40SRpcjTB6hQkP90OCtxacJ3nvyn79ERDHJPMe8eER8OoEsHfq+bYcoMtSkwFqQqwVGOap2GIii1QhZ7UnmKfmTFTqN8ZMZYRni6xqsJT6d4rUhf35CORbkpyXRNEUJT3pSEmYBQgzb0ME4QxnFftNzqEBKQbIqaUyOc7DTI/KrKaNHY2bPZ3gPUkkC2Q3GviQiOV+ii5RgNaV4vKB+c4c0mvh0QZCGHG5rxqVDPnuGXM3RWOrbPck0Q8YBR/+nP0H0HWERkk4jZl+cYlKNd576bk8XpBSLjKqYE00TTBaCB5eEuLpn9MkJh7tmOCOeTvBHJ9x8tYbtFm/9cJRiNPpkTl93+LpBlQl9YwkijTg9Gjrc0QiTRcRFgIhi1CcvEFJgkxxNR3YxYfuxhqsrgldfY6oNQRZi0oguHbHZSmyUQtth7AH7269pCfCH4XUJRhnJMsfWPaqtkXFAfpwTFEOD4uhpTnWzG4YuKUhGGqRG58lAjywmw4J2d4/tHf72FiYThNFEF0sO4YSb1zVC6//yZosiTBrQWoU9NDCZsH6A+AdPhvwLcPKnj4hTSf+wpUsKFD1uv0cqie0csmlQ5yfD4yk1DALfX0JJhBqGjygzaA2NH2q7QkE4LyCMUJMR3ewI/clTxs9XWC8GXXfXIA67od2iLIdWEmwGpLX79FOSszlWGo4/GTH66VPCyyPuv73n4WOHWC05/WJKtkiYLjXdaIEvUoonS4pFhD09J392TL845u5BDqyKm9thGNRqqJ6mKbVOKH7+nH04oZgHSCkoL0YET87IFinx8zO80KTLjOAXP2L8+QXpxRRxds74hxdIJShXAZVOST5/Sn+/RxnB/uOB9ewxQaKJiwCVxTgP0dUx2TJjl66Qz56i5mP6uzWri5CmciAGl4LUiuxyPjRZlCRMFR7J6OWK8UVBcjknupyjxjlRbth92FM+mfP237+nGy2IU83sxQyhBM56mnf3TH75hPhyhfyHf4YYZSjpcVLi9wf6YkyvDZQlepQglER+eIe9exj+DYHBzRcgJb5uiD59go5DWp2gvMWcHaHyFJck9HVLl09QGsw4owviQR9/88D61x8IIkn52dmAOQ411UOLCyJ0GrL8H39BXTmE1PRVx7YxuF/8kmQS00Y5wij0ao6cjpECtHAIPM2HB+x2T/Pdew5fvkUeKtp9T/DsguiPfoS6v8OkwYBT/+Fjusoh44j6q7cUP3yCTMO/4ZXv//P1NzoM/NN/+k/5F//iX/DP/tk/+9/0/U3TsNls/quvv4mru6+ZPx/z8L4i/fwRXWOZ/eCI1Z88YfTylDBWXP6Tpxz97AypBJsPe5pdy+HjZrgTGZf0Nw8I818+9GQYkJaa3bonmycUV1OEVuhAEowSlk9ylJZs3u4IYonCU1/vB31qZ/F9j+1A6uFup2s93bub4bG1QiUB+0oyOQoRUuBvbhF5hlSS5WVCdpSTTCJMFiGUZHJVAgx1sThAPXtKE42GPvFqge0sTeXoX30gXRV0+xb3sGY0NfjpjPWHFjWfQZZhfE2TTNiEU5AC0dSDIrjviScxxednRJOEqgZ5e4NezsB5KpESBJIgCwmnGXpWINKU1Y9WA23NDES4/YNFLmcERUg+DUlHAbaxmFAyvhoNH+hKkS6SwSk/SwZxyiQBpZg8mWLKBNPu0Kmhen1DUIQ4L5Chobp8iZsvQenhvH08Ijxfsb+piBYl1R6yn77ARIN4JDspyKYR7aHHVgPWNR0bqoNk/nw2VAi9JypT8vMJ+uyIbt8S5CFeSuJlgQ41zaamXrfDIljX9Cqk+vYj2cUM13nu/uoak2rkbAZGI6IIdXmMD2N8mrP/6iN+vUXmKXo6ph+vmB9pDuEIub5HJeGw/Y/gqy8dr+4ivJCEi5yw3tL89huas8eIyRihQA0gOXQeERWGcDFi9HxFGEmmL+YAuH446onnKUII2k2NMgrfdCSLFN97RBTBZIqcjCCMEH1P+OScbJkS3r3HfQ9O8dYixyPCyxWLxwXy02f46YRu36LnE8qXwwIf3r1H3XxEJ0O10f/+FTQd3nuCkzlmlAwSMecQRuOvbxAP92weLEJL/lfp6+wyZ3Zi6N/fIgOD7Bril1fIRwNsyE3ng0zq4hRTJkMwb9ez/3ggCqBwG44uIpqvX/PhtUNcXpJeTFn85JzwdEF0POx0lEcZfd3x6j+vuXgagRBMug9sHyxdK9HNnvbtDeHRBJ1H1GHBw4cOtlvk00cET85B678ehpB6MI8uJ8x+cjlAarYtKk/IJhHjH5yQXczIpyEkCSaUg1vi+RVBEWFCQTkxZMcj9HKKnIxxT58RiwbVVahA4XpHdP8e31vSnzwnzjT5yzNEFJJ8csn21QOb+0ETXe/tf/V5GaaK0AC7HR+/2WISzfTH5xR//g8Yvzxm8cMjOFRUt3u6+x1pdYvXAxMlGwcEkSQZDc0pkaaop1eMf/oIGWqkFsPRU+8oLmfoQP+1GtgtVlTffaQMG3zvhmOb3oKUlJ9fIKMAGWr8aAJhCF2LVxKrB5aCXZwi+44kk8SjCJcXuKajayFeZOSLjKleY2KNHueI3Q7z7BHi/IziKENnEXo2phcGl3xfse4H8yHGgBDokyXhZ09RRtIWc6KrY3zXc/jdG7TouPt2jZ6PyX/0FNZrqvsaZy2haBGTMeFqhNsd8IfDQED8uzbBcP3Lf/kvKcvyr7/Ozs7+Rn6OFZJI92zXPb1XXPziiOnKUFxOiJYlVmjKyynFSY4JNfk85vb3Ow5v18SmRyYRdlfTvLv968cUUhAXGts42l4QT+IhtKOGN4IJFTLQQxL46oTb9y0f/913JJOQ3V++Inp5NXi89XCXIwRkhaR9e41QEpMEA7zjN3+JC2P8wxpZ/BepRbLIGZ/lqLMjDA2ud3TvboY7uTTF9xax34OQ7O4d0SikOC9xTY1UnoevbmFfocYlYR5h2wGoJCYT1LNn9CambRXbjxUmNsR2j+97xn/6A3QYIH/0Oa5q6XcVIonAe06uAmhqqt/8nuyTc+KrY0QQ4Dv716RHLyROKOKLFdE05bN/NGc2F0gj2fzuI+E0o1Epv/93N0glyMZm2L6Xjux0hFCKblPhnUOWA5GuudkSTVPIMuz9GtM3BD/7AiEZJFInK9QkZ7/pkQruvnkApRHVAZMZlAYBjE5SRk/n34fsAmLTDnx4NKvLCBkaVBIh0mSgWoYaNZ+goqFe2hVTzHxENjGw3SLKEdL1pFcz7t9VGO2J5wVyMkZ5S7s+kDw/hSdPqO4rmrsdIosxkUIoQds6dCC5vfbUMkWmMYf7mnrXMX00Ir+YIe/uSIKedBHT9orjP3vC7DyF27uhE7++JxinxNOU8qIkfHmJ63rcr38DgI6/97VnAc56bF5QPDtCKsH4osCcLkEbxMkxza4joAMcwfGM0cywmLSsr1uqTYfr3RD+KwrkqECPcsgL9LxExN8HEAW4m7shqFYfcErSf/d2AF/0PRhNOM0RStHeblHjHLfZQ56x23p6r1CTkurL1wCUs5AgC2E8RliP9+CChJtf3WACRTAtkeMR2ja4z7+As1PiScIunRKuSlLT4T/e4ssSORujsxBZbcmfrginOVIrklzz8KGm98N7lTAkcTvEh4/QD4u+azvCUYqQEl1m5FMDN7f4yQR9NQRORTAkx60XoA1yPkWl8fefJ5JsOYRMVRRgPrxCS4tTBm8Mh3cbqle32KbHvnqHv7kjOymGBTIOCJ+eEdQ7tq83HD6s6eqeIAAQtI0nSgbuBoCaT6BuuHqiqE6fcPPbu//q81L2HaE7IOOQ+GxG8fOXZEclQkpGj6YEoaC53qAVZM+PSY5GZBez4bkAdKAIIglSIdMEdbwahgAdYI4mdA8VfZITzjLK//5nRLMM31l29x0tISJNAD8MTx6oG8w4G2h9ciCXmtffolyPvd/SXd/DZEr6aD709h9d0acF4qc/odr2tEii4ykmlLTZGGc95U+fEpwv6e82IBXKyKHW21t0FnPy8xNQinCaEpytIE2ReUL0Rz+mXR/wp2eo8xP0tEQYTdNr3GiKTBKS0wndocc8PgcG9bHuO2SR4PcVQSQRocYLPfx//kDX/08NA//8n/9z1uv1X3+9evXqb+Tn6OM59voBMx9jveLNO0kS2IHcJmB8ltPsO9qqH/CmRuJai3WCWLQEGpwJqf7jl8MDeg9SMvvR+ZCclXKohf2/Xde/u6c+dIi2xZaTgdo3i4dATmeJT2c4NdwdAAOe11nq33yHChRBHjJbKepvP9DIZNgq6//Lea85XxHlBjeeEZkhvKj7miwX+IcH+s7jezd8QKtgYNhvtjQmRWUJ8WpE+qNniChgdpVyeL9jv+54uLXUp4+wKG6/vCMZBRTPj1C2hs2W4Gc/wvzwU4KTJV4bunyg2YmHe8yH14i2wTJgi//Xy7U9/b5GxQb99BFda5H1nosvxqhA4Jt2CE4e5yTncxZlS99Df+jQ0uGbjmgUs3m1xnc93a7GtY7w6hjf9ATLKd4L/l/s/dmSZVt2nol9c6529433Hv2J02SLRALsSahgkkyy0lPoGfgAfBZeynRTspLKWJRYJFEkCCSQefKck6eJPrx33/3eq29mo4vpGZlZVSaayQSgTMlpFhfhFuHue++11hxzjP//fiMl7ftL6MTILHdiy9AHIUneLumejikrQbEsQQjip0eE3RBpDFZrRqd9wmGM34+YfP8IqRXrX11DENL98Uf0TwYEHdcdEgKEECQv7/AHjk2hPvoeColIEzc37gbEdYI1TrciHj6kvtvgjzp0v/+Mxusgp1Oig6ELVjoak1/vaLIaLLTrlEAq6tIg9yfEkw56l1FmmvGez6MfDOhNfcx3r2Gzo3/Sxz/YZ/D9h0Rdn+4oQHiSMjeY/hC0IRj23XWx3mKt5egfPAEgGkTOTXPwiOV5yuDTI7zxEO/xKWJvglYGel3iJwcQugLCti1hYKlzzeqqcA9iY7CDAdZorOcjfMnkKMZYSbXI7q8IiwkCbJJC3MWcHEMcY757ibUCMXIZ78XZAr8TkZ6v4Yc/JIg9qhJs3WJqt/EcftTn6HuuGxFOujAd0WY18UGf0dRzoWS9mO60QzvYY/B4zPhxn9kteE8e4n38DLu3hzg4ABngSYvnS4eVxTkppDSMjyMe//A+ez6KQGse/nCAyQoXTd6oDw92IQXRKEZWBf4Pvod/uOeKhOkIY6yzj/5aRS4E1lqkLxk/Gjn9je8x2AsITg7RrSG5yx3eWRlU2VK/eE+72OL3YofWrRq8fo/ODx45rQ0wlDnh6T6+L1ie56TvlxhlMHmJ6MSYbUqQLJGeR5vXv/PsMgZEliCCAO/4kM60i/j1a/McqCk62cMg2cxadBDhDyI8zO98E6vNhwIoCAXC9xh9vI/p9hn91/+U4u0t9abk/KstctjDGDCDIb0//ATfl/fgLQ+bZqwuCwDa5Y6d6hA8Oqa1HnHXhZQhJJ2TESIOEJ99gvAD0pljiKiwj1AtbLcMPjtFNwavF+M/PoWba7R2tmddKVRSoWrlujGeh+cJxGiEd7RP8PCY6t018uEp+SLHOxojOyH+dIR/ckA8Duk1K7qnQ5KrhO4/+ylitUQIgffRE4TSNMst3v4UbzgkfrCPVf8FOgRAFEUMh8Pf+fM3sg5PUC/ecPSDfQ6/N2V92yAknH+X4gnNk3/2iCD2ufg3r/FCCQKa8t6b70M8itBaobMC27qHkBACrGUQN/T3fhcpaS2oxji6XpJQ0CeuEwSW7Mu3LlkO16Lt/eM/AMALJF7ouxZxHBB0fPTVHSaIPljnrNJU6xyAfrslHoSosqEz9CnPF5ibO6fKBlrrIQOJMZbe82MOPh1j6oayDTCPnpLNCsR0Sn62oBMaqusFSoGpFCbJ2f/ePsU8o3fg0uS8boxJUsTe1LWK44jwaIISIau/es3u1YzbTQQPHhI+e0Bxs/3wfgil0HnF8U9PEAKWZwXB8hbhS/c+SgGexF5dMt736R92kZHHcAQ6rzBNi/AkYS8g3B8SDjvYtiU42sPmBeHHD9GtE+21pSb+3mNk7IOxWOEhJbSrFIElyTz6nxzTFI2DrgQeptU08537XT1JtNfn4JMRQYBTd/c6CGuh16U4nzs40X3Lt15m6NwFtoBFhX3Mj5xnO+gH6KKhuEsgjhg+GdEkNSIM6f/Rx7Sth24N/dMRkx8cQ1kiY8fvByiDIXtTiLsSJQN6pDz+E3ethn2fXlew/4MTVGPdJjMcYLtdAqkwylJVsPL2ufrrW9RoD93p4Z0eQByD70Pr3lejDXvP+uR3KU///pFL4RQtMgrc+9frIoDu0QCv28GT7tq32qCjHk1pYLWCtiU8HGPPLjDXM9qwh2oM3UcTdGtAOzcMpw8Ihs5eOP57n7CaW6KPTpHPn7H7+gr5yN0f3ScHWGvJbhJsfwC+j/FD1v/j1x82UasNotulO4koWg81PcaUFaPTLrpqYDrGiwOiSY+w4zHoaPb+9A+xgz7LmXbkuOmU0T/6DFXWRLFw0Jv7zVoIQe/ZEcfTlnB4X/AHbv7idWP0cIJnGtSLNw6XbS3WWIb/6Id41+cEJ/tEJ9MP94JuDWDxIp/BYYd8XaPnruNYJA1KC+TVBeLZR/ijLrqxGG0plgWdoz6XX20Roz4Cy4/+z3+MCAP8kwPCWCJPHzB/vaOtNUIKaq/HQb8kv1wj4wDTavKLpQs3CztINPH1G3T5u63q9XWF//iBg3MFAfX9vfHr+yPu+xgvoPeTjygSBf0B3aMR5vziQ2FhhdvMfz1alQJEEBBIQXgwQiuLvbqm+e4tu1lNe7MgHkfEoxgZ+qj1DqTACxw0q22hWacE4z5tqQl+8kO6nzzChF3XyleV6yD2uhCGaCuI97pYP6TujBBVhd3tiB8dYJTBNi3hwZhw2EG3xnX54gCwSOkYBUjprrOzc6x2wynR6aCUIAglvY+OkYGH6gw4/qfP6E46DCceddqQnG/wDqbE0y7y+AhjDFQ1NC31KkWMhoRHzvr8d7X+V1UM/G2toOsTjrpgLId//Iig4yOw0CiEsE6x/sk+XidyD0kLKm85+INDvEGP3h99QmtC/CcPUOsE2Xfttuj5Q+J06exkQFu72ZsQoNKC5fuE3g8e0ngxTWlQWYW3Xjq1+X13SAiBf3KAH0o6P3pO9PiIdr52bX5h8MZDkJLOJAatSd8vUVkFQD5LUaudC0YRys1SgwBdN9Sbglr7VKnCSzdE4w7Z+ZL0zRzlR0x+cAS+T76uMestvXqDnyf4k44L6ehEGCPwYgm+h9yf4J0cITodsJbo+x/RNpYst4izc0zVUCxz1olHd7+DbX8zh+weO7cG98KvYluT9E5QLVSvL0BpwmEHyso5w5KC0cMBVWGob1aYqsU/PiQcxHihT/fxHvn5EuIIstw9FKr2HtQzxRsN8aIAjMYaUEoQFjusNmzOdi5wqWgxQuKF8sPcHJyG4/gff0RylTN4MGb8sRNEJXKEP+y5h5O1ePcKehl66KQCa0le3Dh1dqPRVYspFU2p8EOP+bXCH3SJBj7ry5zuTz5DjIdoI2mNhyxz1HxNU7SoN+cANLdrgjJFeoI0hXFYEfkQ6JLrlwVSKLp7sctr1yD8AN0qRF3jH++jrUDlLcOP9ln+6hYbdfDHI6K/92Pn4a4bpC+xrUJuNvQGgqjnM3g8weuElF+8QmuLd3DvhJnNsXVN2HGPETkZYnoDRgchvY7GKk24P0ScHGEB8/xTip3CKo0qW1TVQl1jfR/R7dJsc/w917HwpiN0rTD9AZ0ffHR/c0A2y1jfVti6pTMKXbHkBa740m6eLIc9PE+gZUgrY3Rakq0b1n/2K0xSuGS80OeTPzlCtZbooE94MCVVHbZv7jCdDlaGpFcJ0honXNv+ZgPsffYQaoUX3neFpDs1yoen2JNTF7VcldiiIJlXpKuGaBAS2NadCn/LS97kLe1o3xUmBx3uXmygruk/HLE5TwlP9pC+j5qvsD/7K1ZvNnTHEcb3Xa7Kdep0QqGP9H1kFGID5zjwuwGT05imch1BeXLg6JRN6+h6Q5+88rBNgzl5QHu3wr+9YvDpye88L01ZucLL8zn50R7bL8/vi13X9Rg8HLN9NceUNVpbHv54jDISryo+dGxkHBA9f+iKfaB5fcHw4yOyVzeIwQAhBP3tFYFtmJx0sH7I8NGEaK/nUlO77rOOpl2HU5aCzV+8oPv0kO5BD3m4TzbLwFpU0RCGAm9/AocH4IeIx08Y5HfoRhEejOH5R1htGf3BE3StXEJh6CH295zANvYdJTLyMdq6Jo/nIYTF+IHrdBiDPTym+/SQ/vcfoSr3psjRgKDfQTQNk88O6Z2OqXclJgghijBVjS1r7M21s/Fez1FFjX+yh/93KCL8vSwGnv+kT+fRPs18S1L4LBcWIWDvOCTuuTbW6KRPb+yhr25Qu4z1Vc7ouIMMBGHk4aGQvS62rFykJiDjCO/BCUdPY7JVTTJ3m7TRFl0rsnlJ59MnTvTTD1FZiZSWalNi9W82S386YngYI6P7dvNqB0rhxRHij/+IttL0Twao5ZY2qwkGrhPR5C3GQDIrEVhs1UBVkd4WNFkLnkdbK5qkQRqNT4vSgu7jfbo/eIp3OKXd5jS3S+zz51Trgv7xmP3vHTB60Gfvkyne6QnhZ8/wBIh+z82btUHho9YJeryPh8b75BlB7h6gdWlozW8uNT2cEB30WZ7lGAvWGOJpl/WsYVN2EdMx3dMxvaOBA3dUDbvr3OUbFDXN3Robx4Q/fA64AkrvcvJCwHaDRWC1RkSBiwiOA4zwGDyakN/uaLtD4v0+xvMZPRkhm5pgENFsClRWo8qW+HRCeTF37dyOs5cGow7TT/bwPIjGPfqnAyeuu28rGm3c961btDL0DzoE+0N6T/YdVCaQqFrR6ULcFXihhz+/I5r26Y0Dpp8e8Oq/fUk1OEA/fMzm9YJGe45R0FSYwRjbtByc+CTTpzCZsP+PP8a7vWFyEiHKiu4kIpj0XHrkqIc5eoA8PqTz2SNMC2LQJ360T2ccfdCnYC2q1lDXeJFHm1bgSZpVRn61IU003rDP8sXScfmPp0hPosLYFZaRe8CHwy6NDXjyhxP6He1cFFIgnz1FHB+B5zE8jBBBiKqV06loDdJDT/bdiLnbpezuOdvX9Q5rXHFujWuJL7+Z0ZQG4UnU/Qk2mAwwTesIf+AKZmMIB7HTy2hNnTaoUjltiS+g1TTvr4k/PnWxtJMh6XdX6MWOaBghj/fxPIF58w6kdO3/+xUfjul/fPjh5O9+iQD29wmmQ6hrhBCIpsVadxjwfEkwdr9Ls/6NMForizg4wA/uO0uXc0xRc/vVkrbSFC8uoSwJ9keo65l7HszXmNaSvt8wGAs6B33kffsdKbFZiSkavE6EAIp1Q5PVeFGIjWOCXoCMIk7+3kP04Sn28hIZCqQxLn/lt8wgcC9g9iVau45lMB244huQkc/we6fougHv3rroCWcZrSuXx4E7QXuj/ofvGZ7sEe4N0AcniPEQ2zTEXR9VNASxRCmDaVpk4BM+OsR7/oTgwF13xlrUJnGOHivpDQSyF+Mvbij/+le065R8p/A6ETLwad6c4Q06WOmxus6RgYfsxDRXc+ThAdf/7iWqcKMVebCPalxnoHs0IJz2aAqnLRJCsHcSUeF0HdZY6HbwB12G3ztFdDuu+BGCsONhiwKMIRrE1NsKIzysUlT/5s+xrUKHXUTgYzYJapUQDLsfnDF/F+tvtBjIsowvvviCL774AoD379/zxRdfcHFx8Tf5Y/+zy2iLVobOZ6dUFRQFSGFRrSYInBimTUvIUkDSERW+cKfKMPLQ64TOs1PkqE97Pf+d2Env9Ii6sAz2I/zQfX1zUzB7k6Jqp4YOez7TnzyiE1k8aYliS/vud/UR8tdKYyHc7FVK6MSItrkXlEnUbInfCYj2+lhr0VWLVdqd4ssGeXqMXqzRGspVhjGg8Zl+OgWtGRz1EL0eu3mNyAvSncVUDenZhqOfnpDuNJ6p0cpy+IN9PvrTxxS1pMw0whPIBye0iy3tJqMpNKZsMEWJ9+iUupEEsYdpWi7fK/LkN8VOvijwoxBrLauLnMEA+gcxP/u/vEe35sP7GT06INrv4/dCjvoFyaLC1O41GmWRvkf+F1/S/vxLaBs2dw31+xv39DWW3fkWBn26xQrf16hNyvY7hx42P/oxTW3pxob6zSVWaWZvdgwGhuRXZ0R1+uFUY63rEASjLjIKGExDbr9dg/Soc7cJbS4S9C6j/2jqYCba4sc+1vPRjaa2IWI4ZPzRFKwhFg3DiQ+9Lv6kTxBKgkGERRCe7oGBwbMD+tMYihzPdwry+P/wJ4ymPkGZku4sxeUagUGdX2HnC2Q3xut3KUpoaxfDzXDgisZyhy5rmnVGdbdB1Zp6lWKNcR2Mq1vM+ZV7wWUFdc30xw/Yb2c0SYmSIarWeP0OeMKdmoqa3dsF67MEIV3bW3qS/MW162bdX8dmOHbMi/WO7tEAVSoHWLEGKwX17cohePt9ip2z7TWtc9YYpTGNQrcGrUHlJemupbzZQpaBarHbxI0pZm6T2s1KRv+bn9Dbi0EbmlojejEYd92oRmG3CXVpKecZ3Yd7lCqkTWoCVdFezTCzBSIIMFZA8xsYjDcd4vdjHj2P+CDb6fXA9/FDga1bpg867iQpxYcihUcPsU3L8ovrD99rflV/6EIBjL9/QvvukunTAX4gsbsdPHgAZUHbn9yPLQVms2PzzTXDvYD2/Bp+XdgJAcbgC40x8NE/OkRbaLOGYH+E7g7oHTn9ikh3tFlF/eVreh+fUlyvGUw8hP3duXWtBHQ6qNqwmzdEk+5vXpOxtJVm/E9+iMpq0lXL5q4mHsW0aU3R+E7TU/9m9GDrhuZyRtDxUMIH6WHbhuhkQvP6AtsqRp+e0HtygNeNXNdN3ms2sJjhHuiW+OGe61A0rStOigKTVSgjqNPWtfcDHzXbEoy6PHgeki8bhCfwuhEi22Gq2mW47DL33j18SGfkouWRgnqV0Rgf8/odAEEsP1gvsTB4fghaIz1J58kBale4sWFbE3gGtEE3GlUpTNW4wvTtJe3NCgYDN7qSgmyWEQy6/9Ot6m91/Y0WAz//+c/56U9/yk9/+lMA/vk//+f89Kc/5V/8i3/xN/lj/7Mr37SoyRE3P59TJvdtLE+y/Gbm5skvXlPdbLC1Ijoa4YeC0VFMMIzxj6auCo4jV6UW1YfvW2UtWEtTagb78YebPL0r2J7taErF9YsEP5D4oy7e/gTdH9F+94Z2uUFf3fzPflchhRsjBD4iigiSlUOxBj7+6RHxfh/pCZp7kEl36C5kM5sjQh/v0Slifkd7dsP8oqLc1tRvrzHa0Pvj77vKOVcIo9juQHeHtI8/Ir3O8HyP7O2MuzdOABfEHk2h0Y1xdh6cuKlJa/K7FK8uaL9+RdY7Yvh8j1C2eLh5oX/rih1rncJ792bBzYsds6/m+Lald9gnGsX4vkXp+xZ96DEcwOk/eET/yRSVVXSeHlHVfNho1OWtU5x3JVpp6mWGUQ6z6/djrj5f4NUFfPuS8m6LaRUUJatr1z3pZAsiX5GvK3aXKaE0jtZmDf7IAUCEcIJOo4xr0b9f0O1YkiJweGRroWlQr98R73XwOyGq1W4WWylM41rj1TzBtIZqU2CHA0zdIHtd4kPnComPRgjjtA6mrPCGHVQQU80T0q/PXSvYScI5OIAqramuFqAV9eiIaltRrkvyVUVtQ1SDexBvU6pl5oiIHc/pQPKKk0/7bD5/j2kN7dkVbcuvlZDudZ8cw3KJ3aUEkaSWMcnbJTIKkXVFvtMYZUjvcrJZjucLt3ECrZGktylCSmyS0kRDhC+pz+aouwV1UlOvc+xmS/HtBeltin96iNEGlOLmUmMtTD87QGUVd//Pr9DaOmGuhfPvKmRTYtME2sZ95kphNrsP96LwfZq7NbpVXPxsRng0QQDr24rNmxXEMfN3OW1WMTmJUKcPKRqP3bJm9WJG56DrYrRvNr8TICPjCKstvYFE36OJxckxot9jPBGIp0/AWtJVTVO0RL37o3Z/gFWa4t3tb+5va6lK++HvVnq0yuJhEKUTYS5/9hpbVMjDPbzIB2uR6wXltqZdbpFx7OyJv/6ecYj1PZCCzuEQP/TwT/bpfe8xqlbEBwN3nf31X+G/+hpzde1m4NYiO5GjXP728nwY9EnnJWXa0s7X+L7FWku93JFcpwShoIkGnH+bkW9bvNBju2iR0rp77rcKDFM5wWRv6LN9cecOOrVCPHyA6MaoWuP3Amcb9AOkL9G5e856oaTWPlEvwuuEmO0W6obi/QxrLKrbxTs5Jj6Z4h07xLZWBlHk+IFPdDJFWJBRgKkVtqyQnmDz+dlvPoNWE8TOUlTPdjSrlHTmOkNWWwdwMoZmW9AkFeHpPvnbG0KhsI3TBEkpCHohYrWkyRoGj0euk6U0YjTEWkO1zGlvFtg4dtorQFe/K97821x/o8XAn/7pn94//H/3z7/8l//yb/LH/mfX1V9dYzcbTh5J/O2S/X33dbHb0Rt6CGtpNil+k2OlhPXGIYc9SZY4vKmV0nEEDt2H2JSKYtdSZuq3mSgABN2AumiJRhFeLybqeBw+7hL6oE4fon75K3Rj0Jv/Ba7CvWiFyRhxuE+ZaVReua9ZS7zfR0hBuyvxIh8/lATZCvPzXzqh23BANdtRrAuai1vCaRef1sHbRi7bwCjjHkqpwh4d0gqXhxBFFnW7hOmUu4vGzcuUQVWKztEI/eI1CMHwuEe9TJGBQFQlzboAP6CVEfv7hv5ehM2d0NEoQ5u31EmN1oZwdUMkWzr7XXyhiWNYryz15RwvDNAXN0gp6PQ8nj2xNDJm/PEB2y/PAFBFA4MB/nhA9fVbzHhKepthtNtMyrcXiDx1QSNZiX34CHY7dncV08cDgmJLebnEGImqWkLpUhC9k0Ow9w8ywLu7RhfOdRCGgrbUJJc7CCRt0TA6irEGOvsDhLAUt4lLc0zLD52dNilJlzU6b9hel5hdhtibIgPX4u0d9jj58b4LSno3Y3Hdog9OWL9colYJj77nipM2q4gCQ7nMadOSzfmOItOEocF4PirqYU4esvcPnqPLhjZv8KRFVzVhP6C7f29fs07hbZVGlw27i60D4wC0LWiNnS/QBspGohpDNP11gWTxBj1Uo4m6PsOecgFIlTtBS19SrJyDxKw2zmIY+jTLhPUvz9lcZk6g9d131Msd+etbjr8/Jdof8PCzHhYJqxXRMEalJcKTbG9rvNgjPpmw+naG9+415tU7stczp/m5/6ykVejawXOavEEtttjtlu7JGBH5DhFsDEoL52pIGgf1ORywMwOSLMCudvQPe9Af0etaN874rXX3OsEPBPPrFq0twvMQwyFsNvgfP8X6AfWuolkmHDztY8oKE3ewTYv2XUG3Ok/J1xWdofv8jTaoyzuy40+dLe/m2onujHGt66MDJk8GNNuS/tinLRW7v37jfn7ok9zlNNsC//jA2VsDH68TsNsaVGPv7z830mptiLi+RmYpHB26gjXNCLs+8u7mw/jDWktxs6GxIde/WqHSiuzdHF21NEWLaBVeIDCtQbeaJ89cEWKlYPd2jrDuZPzbyxv18Q8mRD0fraAqDeW2wv/sI3b7HzHdlwTdAF1UVNpHLbdET4/df04zdvOaYDdHrTaw2hIdDKje39BmNUIb/DZHhx28QRfZ66JkhNytEBh83dBsc4QUBEWCbVqsFb8THVz+2uViQVct2bxg/j7HGOtYF9LpipIzZ+2UYeCsr9sco4zjZXQCGAwRT5+6EaEn0KW7PsVHzxBCkL65w9QtIggRUrruW1ryd7V+LzUDQeiAKIcPAvJFwWTqlMjdge+Ig3FEc7tGNjXrlwv8yGdyGCKFU+Or1pA3ISIKkJ0Iay35tkXVhrj3uzMfa8GLA/r7HcbHHcp1xejEUezGRxEy8CgvFuhOn8Hgt/7fff9RSIFYzmlnm/s5bQeTO0GPNRaLO7XO36TUiVOxxz/6mHaxRQ762FYx+cExQS9kfNJFWR9bVPgeFMuSwX6IFYL48SGm1USeoS4Nwlik1XT9hj29YH7V0M63YC27s83976ixdUP17ob1qwWy38Mb9hDjPkZZFt4xncjge5awH6E2yYf2om0VncA61PNmSUtIaGq6zZYkk1z/+RnW9ynT+1a9Nky+d4QKu7S1wZsO3VzSD7C9AertBcJowj/6EQef7VFcrekd9unenSF8H9s0qLyke9jDLJYuCW+bUr88w5Y10heopEDUNYOnewCorKK+XYMQSAzTR30sEE9ibFUzPYkR0qO83dFklSPy3WNmB8cdwo5H+n7lIrAPB9S5otIBSS7JbzfousU7PSS/S6k2BbqoGT8d0aYV5nbB8rpGdjsk7xYUyv8w46+XKV4nRK8Smm2JkB49WXL8tEPbWqpG4AeC+OEeXi+mOJ8hRkP08QNGBxGdNkE3CokhPBxT3GywWuMHku3PvqN5e45Zb13y38UtWoHqjV2Azf1IKjzaI0ssddJgmgZ9t8AmKcmX7yi2lVOqny8pbje0MnJtYumx/72DDwr68PlDdFLgTccu+0K1lF+/Re42GG3xHh6711m17OqY7l6H/oMJgz/6lOm+pK0UpnZhUlb/pnATVrO5ShGeQAwHeN2YqOsTPDzC78UsXq6pkxqrDd2DLuuLlNV1RRhYmtoQmIKqM3GOwdEYyf+kugdOvjfC8yy3ZzXNF99++Hr77gpb1SAFTaXZvF3T5A16vXOzfqXZ/eoCYyz1tkAVNWHHfa6qMcSxIT4cuM1JG+xgSDjq0PvoCBGGeNKiGkWTVLRZgwh8li9XlGlLkzU024JqnWOzAtO6jqKV/geoVH7jPtcmb7GdLjoewOzOdasO3ftDVX/QMLlnjGuXZ5uWNi+pZztM1bL+8pLqdk0732KNoc4UcbbCDyRtXrsQHoxr4dtfPw9dsmNwOMUoQ964sWl2sUREEd1nx/SCGjEYEO0PaUqnPSku1+RfvkZf3RL0Qvzdhup8gX33juFPntJ9tI+eHmKKiswbcXDqYxpF1Xro/tDh2JuG/WcDknmF7Ea0gzH2/MId/OT//DPWRYUpKmctf/qRyzfQBiEs5e3WvWfaoJPMMWRin+Jm6zZ4IdCNQgsPM18w/mgPU9UYCyqvUWVDEPsUmaHMNf4gdrRS/gtn4G91ddN7O1gUUaYtEoO6nbM3cqcaI31slhMdDmiv5viHU4KmQCuDUYDnkfpjh0vdP3APJW1dZd86K5G1zp9slCHo+kTDELtcMnnYY/9Hx3h7Y2SesjgvMN0eme0jzW8q6F/TBy0g6vJewGTwBn1UWoAAtd7RfvMSaRpYr+judbDGEn/yCH/cxXoe7dUd8uPnDIcw/cNHWBngXZ0jhKGtNLLIsY1Cly5TIOq6Vq8QIPItnjDoyxvGbJm9K9DbFBkH0NTU72+wSYrJcmxZYbVBSkG7K7AGDj6ZQhiyeb+lKAX64urDybFMWuLNLXtPhxz1M8pKMp7A9nxHNi/o7Pfw4t9Q2kzdEkycACnbtDS3S3TdIAcdkn/1H6nObpAeeMMeXuix/POXtN+9dC3R4yN0b8T65+/wPJfK1+0KdJIRHozY+5MfoJKCXuzsbl5033K9599L6dq3UeygJ21S0g8bjj9zsbT5poLakQabq9mHdiBNjc5cpS886bzmuw3V1ZJqXXL9H99z89WK9fmO5PUMlVZ4vqRepbjOqkVulqj5huVZTnm1xGiDrhX+sIuIQ0ZDg1aawSRAVRrh+0SBoTcJkXtjmlWCaFqqSqC0ZPXljUsADHNMVdEqKK432FojVMvd/+tr9GqHaVp30tEG/3DCXnGJFwcukVMbd633hqiqRZctm8uMs//HV1Rvr1GVoslq6tdnJH/xjVNjhz5Npek/GhMejOntd0k2mvZ7P4JuF307R1lJ8/YCoZWzxkk+WGjz2oFgyrTF1A0PH0mKJqRuBNHYzeepageNuZvjhZJiWyNDn/DJMZ2x71ICrSCOgctL0vdLRl5Gtqh496LGsw3e3gSxN8WOR4jrK7Qf4bWVc0/81pK+RACTkcbI3xwA1hcZ+vwSNZySzkuKeY5uDaassa2m3DX40pJ/9Zr63RXmtzz9banwA4kuKicAtpZU9rFRiN8NEYFE3S7RsxXNtiCMLP50yO7VLXe/vMHe3NLMN5SzFO7prSLwOX7gOzElQCemuFph53Ps0THt6UPSRYNKSsKTCaZuuPtqTrt1p2NrXNdD5TW9fYf9Va11TIlx7z7rwOHFl0lIZxo5Roqy1MEAP9+hr2f8uhoovzv78HqNthz6G7bnKX6WgOfRGUcE3/0KpGR3V6Brzbs/uyD595+Tvbwiud5hcAwWc3AIQtDaAA+FdzChsB2Cpw/oDBwvIfzpjxypMgyQWIZ/8IhGe5SLnHXnIfZuRoBCeE7I/DurrjFpzuCgixd5qNa4MUGvT/vmnPIuQSuDXm2xTUv18oL0bM3gI9dp8SLfcQM2a2TkU20KZzFPCjqfPMJM99isNDbJGDzdx+uGfLBp/B2s38tiIHxwQPvlC4Qvefw8pFgWtK3A8x0Gs9nm97GW+y7sZzTArtakFxuqrMHfG5FXAVYb8r/8ms1V5kRktxX5VnH+qnZtvUCwW7Y0WUtnFBMc7fHo0w54Pna5IlYZtoXgs4+IxvGHC8FaS3qT3oNbNGqVYncJ5vya8OEheut+nrpbos5uELsdEosXuJCP9M8+RzVOdGV2GWIyITrdJxrEqKzEHh1x85cXtGlJfr3BD3DOBl+i8xqpasT8lnHQEAeK/C5hf/2S9bylunF8ba9I0cs1KEXw8MhRtQYdvOkIs97RrhOmn+xB4KOTgmjawcyWDid6H43q1YWDeRiDtoLxvs/mrkRWKUdPO6zOc9RqR5OW/Fqv5JTZFjXfkl9s8MZDJ8rZloR7Q8K9vruxG0X7i2/wfA/79DGJN2H17R2B1MjtBikNxTfvqCog8CjvEgci+bX3PcuweeGyARp3wpLCUiQKldVuk4x9lJHcvi0pti3FsqBqJEJKNi9ci7TNnKBod7FB3lwSjTvs3ixRt0vKRlBuKxZ/fXGPpNZ4vYDrf/eKvBJ0uw720naGYCwmL0kv1sjAQxQF0cmYIBT40iVxslzhmwbqhqhNMV5I8eYWIUEGkvB0H33v/hgexOhdAVJgNlusVsSTDl7oUZ/dYdsGudsg9vfpH/fpz97S8WqE72A3xlgOPurTztdUb6+xiwX+4g6x22ArN1KyaY4tSkzcwe9FqLx2nbLDCaMHPcpUIQZ9bBDiYahu1njTMd39mM7Qp7pZ43cjVNEweTpCeIL03ZxofYu/uEGev6eMJ66bF/ruRC4stqyIPWcXk55EPjyl03Ub9ub9Frla0n8wcnau6YDydsMwueb4xOdgWBEkO+JJH/nwAaY/xPfd9Wp2vzvGM/fiMBv9hitiey71cffiliCSDB8MKTcl7XJLm5Wsv7jAG3SoP/+a4jZlMPFQ505QqJUlHPdoN5lLzkt3hKeH5Jdb9DoBnEq/MwpRQUTfr9DzBbUOnVhNCNpNRnaXQd04b7/vE3R+U6zs3m/xygyxWnEnj4kmPYy2rvjQwM01bV7RFu5gYlpNdptQ7SqSnWa4F0DgY7WhPb/GIhyfQwp3uPAlnu+6HA+GKTLZEnY8irOF6w791mZnkHQPe4SBwhwc0bYgfB81OQApnL7p/JbmckZ7u6ReJTSbEmvF/SlJwuEBdSNQu4LhUUT0cI94EOGNBgz2QqKH+1S9A8Sgjz8doRdb9v/pZ1TbEtmNafeOGXx0hByOyBf5bz5Ha2k2Bf7+iGjgY4uS9r7NT7cLRUE07tCUBr3LUEWNXm6cuNlY5l9co8oWUeW0y9SRUjcFuj9G3o9Jsss1xc0WGTiniTfsEgw7/z/Y4f6/W7+XxUBlA/y7K+wXX2LnC4JYsHifUtaC5O0C02j6z4+o7taYk1P8k0NsWdE9GlKsK5Tns1yBajR6tiL/T19itGV8HLO7ySi2DW1tCLs+jRKsLzKkLzC7DH17B4BZOF980PHg5AE2SRH3/uObFzuyNzPyTY1drLFY6psloqmdurpyRDqdFpjZHLPeET1/gEpyTN2yuWvQcR8Z+LTLrQMPKYUMPeTtNW3W0lwtKJKGwaMxvb6k+e4dfuBR7WqX175YQrLFLNYUTYiaHKDSEt3pUZ/dOk/u3hTb3FMVlxs3k/c9PA+yyzWD5wfIIEDOb2msi2w1yhB0fNq9Qzc7DJztWSsQVkGesX8SMvreCQbB4sWKepGi75kNybrFaIHo92jfX2OjyN2knQ5Bx6Mtnait/3BMsqzJCglIvGeP8HxBM1uhwg51rihM13WBlMJGEfWudIE4xkBRIF58h/Ak+fXWKcOxZKn7PYrrHX7oOWtYFNBWivSbc8RgAJ508JAgpFoVDoCkFF4UUOeKclOx92yEiTtszhPGjwfuBFEW2KzA8wHpMzwICWxDZxw7oZNqyS43tLsc7/o9/noJjaLbrAn6Id7hhN0X7+k9O6Db95jfWnQ8IOxIrn92zfLVitHDITopkJFPu9w5gFRVwMEBcthzY6tZAo1CdiK8XoTXlAT9iKDj2ppWuxNSFEvCy3fY3RYR+WTfXXA4rDGFs7YpPyabZWS3GaLbcd7suIvsdBhOHffBJCnFTpGuKrRxfv387R1WG6r5Di0k+D5h7NITdeNswH7HRxYJVTigmGfgBzQv30EQQdsS9QNMVX9IB6xriypbynWJvzfCrzKkcfaz3hd/TpAtUWlGP1ZEfY/eSR97zwQQ1jj75fvfOH780AGiBn2L/a3OgPUDlztwcow0hvxmQ/H5S9rbJf7hPmq+IvQM7ZcvMGVFT+0wqw06yRACoqMxVrtOUvf9t9DtUdys8JI1ydsFNgzwAkn/qE/nqE/0YB9VtNioQ7PN0VVNdrFGHux9AONsFuqDBmB1lmKShJgS44W0Z9cINF7so6oWk+SMj2LKt1eYNKMtGpq04fbljn5s0GlJ8OCQ2794T3KxprrbABajFIOpT7vYEcYebWOwBwfEez3CwxE6LdC/JbYGYDTEH3ZcPkvcp1zmDCdQ5i6roDvw0esdZpvgT/uoqzm2acm+eoc2fHBqqLzGhhGqhU6Tup8jBbbRGDy8TkiwmuP1IrQRHH42AenhRx7b1wv8cYd8XbK7TKjTCgusf/Ee27T0v/eIOLLIIiO5do4ZAA4OGH96hGoN7WxNtczQjcJqTTTtk71bUJcKf7P6YEu02mCb2nWOtWH4049p5yu80JFv202BkL87Zv7bXL+XxYC1kvigj331lo4sOTzxCfsxSkTUy4x03fLyVzVFIdHaiUYIA+JpzOGPDqgKV5m2tYVBl3bjbmTdGnxhODj1Kdc5ddqQzUuH8/Sc4DDqSmhbbFGC73P6aR9CD7le4Q17mLrBF4agH2KLEvv2HarU5K+uYbPGlhWbz99j25a6lYhuh+xyQ3JXcPff/oz83/4lOi/YrC0XZ4rm3bU77baKfNPQaXZoY9HfvsRrG8SPfkhUrNHdIcEgBK1Z3tbsVi1N2KNoA8r9h9SlJrtJ6OmM1dstXiBAKVfEZAlt0VCucpoaBg+GdA/7xCcT7IOHDCY+1guJHh5QLDNHEhOWzuMD9o8ldS1oa4NoNeZmThCKe++4QaqaYlWg7h9su1VLfa8U18s1WWJoRIT5yR8ShB5NZUi+u8HrhjTdEUzHlAWMP5rihwH1xYrCdhBa4UcSEUeOBx/F6NYiJmMnHLQgnz8FKd3s2ZPkqUa1EI5+zY8H1TohXbCZkfzqwv1738M2LY3x0EVDu3N+YzuesPejE6TQxMcDbv79a3bvVwyO+6h7Il92nWBbjQwk0aND52D44z8kmPbx8i1t3rD5ixd4RiEWM9JlyTCfcXgIGs/BG4c9vE8/wmrNTbNH9fqKs0vHXigu5kyeTwlOD6l+8Q3Fy0uC3RLpS5bnGW00oLjbYdKC4HDsMgNKx3qw0iPZGEyr3WnSl3R0gZclBGWODULC/RHNYouxsDvfsrnMSF7esr123SwEiMBzmoWyAG3g7I2bz1tJW9S0by4xVUsWH3L2sqGtNH7gHvz6fqPMliUcHpFcJa51G3g0Z7eUhbtfPZyexSiNajR+J0Rr97l2Pz7BWmjPrplnPbxsh29bWhkzfDJFtK4AE48eOE7A3tS5htrfchTcjwAPDgX2t5T8COfHr9/doFtNJ5nRvnrn5v+epLIhgVAoZTFn54j1AoGm/a0c+/puAxikahg/GREka9TpQ9b/8VtIc6Rq6D/Zp+u1xIGitiHRs1NU0RDv9WmzGinuPydjefgsJF03GGOInj9g9HCEPD5ES9ehrGuB2Kyx0qe83SBtS/ndBeb6lma+pfNwyt27kujuDBH5VIWmvpiT3JaIIKRJSvLPX3Bw5FHPN3RHPrq1sH+AaFvsek38YOqAQ7vth9fphMsOT/7sxz2y//QF83/5r2h2Jck3lxhtHE65LhFBQPTxI7bvNwwGDr4mfUk5OqC82yKfP6PODVxfc/q9kbOanp8zeDTiwSMw44n7PPt9/NCjTmrYbBC6RaTOVrh+uaBclajFluJmR/Z2RjCIiR4eEGzu2Hx368an0mVJ+LFP0AsxQYRaJmRXG/xeyPoiwZ8O8CYTvH/2Dz+MaNYvZgStc3QlZ2t0qyEvwfewVrD74j1t8huexd/2+r0sBrymxIsDiqRF1rV7aGw2VMN95LhH1oRUjcfMO8FaS7vNEf0+wmg6w4i6huHAOruJlB9Oysm8YnQUs3cgqdOGfFnSVprp0wFWSGQgaRYJ9eWMapEhjo9QvQEyChGDPsL3ae9WpG/uUDLELlfoVlOlDSrJkHd3mKZl9csL6vM7bGtotjlta8jmBeLikuzdnNa6DPW79xUcHqCrljCGo0+HjPuK4uUV5pvvkMmazZsV7Sqltj5RCPHsnN2bJbvcx0t31H5Mscg5fOCiN/3Yx48kzdUcwf1m2IsZRTUqyRFt41juUeAsT8DB8xFWKaTVqIsbyk1NvL3DCz2atKEpFeX5HXhQb0p692ySYp4S2obkakeTuNlqkzn1tjfsoZWlaQS20yXaGyF8idGWcBASxD7B0ZThP/whLT5aWSbHAWHfo+1PEFgkGiZj1wn5tUhMSlCK1XlGTA03N7BcEfZ81NklqlLEBz0QlnpdUC5TDsSC0ewNujekThqElOTLwhUBbUPyfuH0HWVLPO0QjN0LtPMF7a4kHgRUmwLRNIjZHVq7Ob568YbbtyXaC1FxD3t8yvLFkuyvviNIVpg0o/don+EffYy3P+H2ywVlbll+fYdKSkTbkKaW1np0yw19UVKcr/CigPCTJ4ShRQoLT57idyNM1GH49z+jSDWeZxGxC9uiyFn91VvGE3j/RrH68oLtTY7OK0SZIX3PnZiikP6PnzL/jy+pbYA/7KJXW9qiQTUWawWqcS6P7UVC2AsIegH12xu6oUZbQfl+RrWrKNYlHB8hBFSFolqm7N4s2F1sacqWspD4Dw7xAo+oTpBhgK5bjBUUiSIIJShNcpkw/3pB53hEqULwA2y/jxmOqNcZ7fszqsLg3165E5uUyKePiQYhXq/rIEX7U8xswX3Sj7tMfIFWjhNS3+/j66sMkoSy0Oi6JZ9l+IHEvH6L9+QBxU5T1Z6zldWCwLf4VY7crHn/f/vVh++tsor0Yo0YDRysRltU0KUcH1OtMjcSe3KMp1swEtmLSc/X1JsC3SqCjqT78Slt2ToAmQeLNwnJsqH3YEI47aEPT2kKQ/2Lr8lKCUGI//AI3Wj6P34OgSMTyrokpKG6uKX8+g13Pzsn27YILN2+oNyUvP53lyS/PHOCVFtDq1zhF4bYusbGPXdvvnzloC6AajXp5dZ1A7OM9GJJfpdioy7t3Zp2k6GKxoVmmZLWi6jCIbYs8PtdmEywR8fMv1lhy5pqmdFsErdZW6cB00IifR/fNCgrkL0u87PK2RN3JX66QQQ+2//m3xPEPjorkZ6gOwnBasrzOWnpc/GLOfrijs3bNeEwJllW1I3rCMWDEHl8iHhwgs4ryssVZdKQLNzzSn78HC/2se/fk7+9pb1bYqwgX1Y02xxl7wOshCB/N+PvTjHwe1oMGCTm8JjaBrBaO/XsbMHRw4DgwcH9bMuwvwdkOeXNBqZj6rc3VFmLajQ/+UPB1bkGJE1hWF9mbO9Kl1TouxZVunIXhEPWgmc18794S1FYdKMxX/6KzXlKW0Mw7LgY411K8e0ZWRshmwolQrLrHbvXS1TkIjxl5DLqw1GEUsLdCElBvUppak3bWJrKINZL0vMlTVJhtyme7yGtoTp6hE1S7O2M+t0l5d2W4i5F6hY/WZH5Y6LTfWeTefwYHUQoGSLCgMGnx4T9++TAbgRBgL8/wu/4RIdjhhPPeXDL34hxoo4knReklxtYLok70PMr+u++pL7bsLwsyF9cIfIU8oz1eU6xdboLfB/9+h36Zg5CkJ2vkKHEn/Rpgh6G+zjX44kTdQlQm5TQVm5OlxZU64LNWYKVAeb9OdzeuNnr4YDuQQ8rBIPvP8T3HKgHcJCTtgXdIquc8maLXqeIz3+BvLnm4A8f0mxzml1DXKfIpsCGEas3W9JZgedBvc6hbrj52RXV9YpyltA9HNB9ckSn2tA/+wZ1dUuPHBZLfNuiX72jXGR0OoJpWFATcfg4pH/YJ//uAs7eUW1LOsdDwgCM5+MJQ/76xqGb8wotA0QUoXcZkcoQns/xswgx6Dn7ldFY6eGfHNI9GmClh+xGdMcRB//0I/pmBxJ0o9h8d4sUlrvzmvn7kqAtSM/WrL6ZOYa7cHkRpBlyuaB7OiL77gZ/3KfFx1vPEdJDt5r517fkFytnV7taEx8OKTcN7S6nExmqdY4pa4pFwe6bS8hTmlJh65b0bEU0jtFhTPpuieqP0M8/wYsD2kqzfuOgRXfXipufXaLL1s30LRSLAhBMTrvUecvm7QaaGoOg3xfYgyNYb9DKYaP1waHTZQSey5kwFjkdIQ+m6MUSdX0Hm42L1ZUCKZ3vvNpVCKtJlw29zx6im4bJsYetapLbjGzjNspy05CkEvHgFBGFeFbRXC/Qv0U5zP/7Pyf60WdsXs/ZbY0LtOpGbMXUxXg/f8iviUcn//QZ5aakPw2oljmkCUYpRj1Fm9eYN+8xdctuViGqAlPV3LzYUJ7fojcp3b0udaFIvjynPXqINRr57q1T+3/+Enl9QXx3Tnm5ong3I52VtEmFzkrM7YztecLiqkblNSDwUNi6+hC2ZoxFbjeUf/kV+l6YePvaJSr6PsjlnM13c6plThGNWHx+Qfbqmtv/+Ibm7Aa93LF8n1M1En+3xu/H6N6A/GxBtS7QeKy/vHTjkrrBxJErbu9Hi53jCeXlmra1FLMUL/DY3pb43Qi/H9I+/YRAKqpFQnK1IwgF02djgumAwWEXXxqaxZbufp+q0Nz85QXb84Rt3UFIwfoiRQ+n6BanH8jd52K1wSKRowF6vSXUBfWrC6pdRbUrqWdbmsbCZARCInsdPoij/g7W72UxkCwqxP4UdXCMPdzHliX6+AHFPKOtDGJvgle7uWp1D7HBCtSLN6hSkd3lhLHg6lyRZ4Ymb4g60m1GUlDcpczf59S1ZXLaodzUeKEg7Aq8OKK713Oq5zCkmiVU12t2f/UStUqcbbDXY/qTh/gYlJGoyxuUEWgZ3CfvBeiywWwSvAfHbH51RdwNsUjKnaLs7RN3JdPqmnZdsPj6jup6iSpq7MGBO3HEY5aXFXz+BeK7b+iPffxI4HdCQmp2y4Zw0iW2GX7goWpDU7vWMOo+0KXfQ3/zLWwT0IbR//aPQGtMUVF1Jy4s557HOn48ZP16RX29hCwn3txBXqDPLumojN78DPHmHd1Aw+0Ni7c7VNXAdIJUNd59q20aZ4weDugd9Qh7HnUL5fUGKQXR4cghYmsnBKwKTZs1zL+8Zf3VBaIsaD//mvBk/wMvoHfYJzwc0T/oEo8D1pe50wx4HrbTBSSsV+y+OifbaUx/SJZapCcobnbouqXtjWh6e1SlJrnLyJYl7a6kTUvkZMjmqkAnBcGoh8Inejgm6IUEbeGCgYylTmuHD/7BD+mvzujevaVtQfYiRmMfuT+lmR7jrVfYXhe72uJ1I0xR0mY1+s0Z2liUsqBalBUIrTkO1ngHY0b7kfP7H51isZz923dwdISPQo56H5DWQRwyeb7P/HVKta1Yfn6JzkvK4SFFbvmDjwvaL76h2pYOqXpwQLku0fMlXZOy+fyMTtAS9gMG+x389ZJwr0fx3Rnpdcru/YpintP88hsMsP78HYQBfjeguFii318hV3PO/7tvaC8XrC9z9CbFNgohJd0nh1CWrF6tMUFMZxRgDo+oLpcwGnE5Cyiv1+SLHNMaglGXQvtEo5i9Y496lTso1DrFJjnezZWDPWGYvytJ9p5hhyPMYk2zLcnPFmSXG0QQOBHnbIHd7hBZ6oSURYXapqhNQjNP8NHuRNvrgjGI2xkMBuTvF6xvKvp7IbKpMEHAtuniTwboRtOmJTpzUdzeZIAsUuyThwxGboRWXKzoHA5Ivr6gbgTesI/ZJk4X4XvIOMTeztj8p28RWcbVv/qa/GwJZU01T8ivN5z999/h90Ls1S2Dgy7h/pBuXzpbZtVQbzJkJ6J+cYE+u0JMJuThEDWc4jc5I7OGtqXKFPW2RAhJNOmRrlqOfnri7NBScPVvX2J2CdIq2sWOtlak/+YvAQvzOUYphHVhWtKXiIMDmkJhhOTury8xJ6dUiXJZIufndLyadpdR7gqauyXGQHwydU6mICTIt7BaIcvs3hXggtl+3bIpFjltPKBuBNlt6iLUc4XXC5GdDjx7yngMtqyps5bmboOpGvLPX6HXGyhK/H7M/idj2kLjb1Zkr+9oasP1L+fcfjFn/W5L/4dPHNCucteq0QbTKHpPD8mud3i6xbQtQddn+csLVNHgH4zo/dFnDqIWeMjI/1/asv5W1u9lMRBlG/xB15G1hkPXGdjuyH/1ntml4uhxhFSNOxHvCspl4djuw5GzVrUaz5eItqF+41CgvVFAsa3Zf9pzQRehJNtoghCW7xOibkDYDQmHoUvFu7jFTPZJLjZMPpqgLm/drDXNePhf/wHdYYgoUvKXly6pT1tMb4CdzRBxiBkMEN2I+tU51dWK4tU5XsdBjRAwHAqy//FzdtcJbQup6XH71R1cnjPwK7aHHyNCj8oG2OkEfXlNva1p8djfE0RNSrGqKRYlXiDQ2nJwKNmd7xB1hdrlLrykP8aWJdEgoPuTj5EnR3hNRa5jzK/jOKOIoBezuippv/qO9qtv2Ok+eaLJzxao+ZrhYQez2yEPp1S3O7a/PMMvUjcHNALdWtq6RS02iNrhTq0y6FLTKoE0ms6jfeTttaOSWYvaZhS7lnaXIeuK8CefIUOPItW0ResYDkJQ/OIlQSzxUUSBplrdQ0eOj0k3NfZuTvJuztUiZHbZst56LNfQOZ1grEVHHeq9Y3RWkVwlFNsK6UtkWSDLnPxqQ7GuaLYlZaapFhVUDSKOkFZjEDRpQ11awuMJvUmM1w0pVICtW/ymAJynP57GjD/apykUZW4xV9dkK7chVWczxN4UD4MxziqV6Q6p6RHXG0TT4HcCvNDn/f/wFltVRLZCDabYwOVrCAHDP/1Dh/VVmnyWUl2v6D7a4/SjiK7XUO5abJLTpjX66XPkfaBX++gZ5s17gjajM4qIbs+IbEn85mv8y3PEbouwmma+ZXuTsfv2huybc4rvrrFVjTm/QV3dIqxh2MzJrtbkr29BSjxhSC83DE66aD+k3zVIXxL2QkS/h8gSsjakzWpaBXHPJ7vLyFYNtY6c/TMvWbxYM7uqWb1L8bItXFxyuw5p9k8ZPeyi8DBIips16+uCZp2xvsyctbBpqF+eodKS5ube5jlbYg3YoqJ5+RZPGLbnKfkswVMKu147jPjpMU3lmPft3RI56NIfBeiiJl/X+KFwAtubGSaIkL0uZWqIQgcDSy82tLdzWgX+01Ne/19/6UBGYUi9yOg/23Mt6NmacNihmu1Yv5yx/fYaEwZsXq/I5jmBMCxvKrzYJxj2CHVJrSW6cvZCLdzIR033sNJDly3B0T6mPyLvHeHlWwbPj5DjPlo7LVUnNvSnAaZu8box1fkMb7tBly1NacjWivzwGV7HFULN5QwwaHOfezAe0NnvYT2P3UYT/sH30J0uy7MSs1jRbArqbUlzs6KJx+wud1Q3a4QvSNfa6a+0otex0O+76ON1ir25xVQV3fl7Bsc9mnXOYC+g/uoFvjQUm5oyUUT7AwJV4qHYvV7gHe5h0wQZBehtiqhyxIMTRxRVBoZ9TNtSXC4pFwnlOieZFcSnE7Ca6s9/ThAYrv7yCl23yE5AvS4ITI0ejIk9jVwsUFmD34kQfoCqWgeu+v/XbIL/ta7hROAJgxmMoWlpcpegFmwXbJbKsaYXM+LYZW4X12uym5RIFfj9iMGjEUIKOoHiu7/aYfaPMMmOwX6MVg5TOT6KSNcN3Z7AtzVhaInmF4RSYeqG1vrobp9GC8Sgj370xGEz7T3hqm7R1zNk6DPYi5G6pa005sVLeqOAu794j8oqdFpQXG8oU0PQkVSVxlzP8EOBuLomv0spFxnV20u21yX28priYsXw8YQg2zJ8PAI/Qr+7QIY+3YdTCAP0LqMuLFGb0T9wqvCBl6Aub53ftqiQPm4+enBMEAhsq2lvloRHE+pthWo0CEFRuu5XWgr0zYzRSFDcbFB4sFpTzFKMalFXM3rP9pGza+x/+A8Or7vYsVvWmDBi8eWMcltz9yZzVsaDKU3WoCb7yNj5iIWwtF+9ILvakd/sKEsLWU7U8Qg7PkEvopgnqHWCJy3m3Tki8LCNwpdgihp9donMEmfVypxlqNzVyMUdsi7whxHh3oi8DVDLhOTtwtlF/RB/0CGbOWJe0A0QVU50d8HmMnFdlesrvGGMSguavWPKTUX++oYyqen2BcIPaD76FNnrsa17TE9j1Nv39PYivDigN+3QJ8M+fsrGjGlv19Q1ZKkgPn+FP7vBv3pPmSq2lymjR0OK3iH24pJi1xIkS9q8xdMNyYtr/MenJK9m1H4HyhLz7gyx3aGtcJyKrCLPIewGDIfOUlidPqXOStK3d9jjY/K9x8gkx2ifTQABAABJREFUoadSrtYhUbFB3FwjTUvuDdHbDG9+Q2Aa/E+f096u8NqGg08nDPa7mLZFtZahTNxorGxov31DWOfIzcK1WAcRKqupLxYMH40Zfzx1GUe64e6rO2hb1jufQGjkbEbv+w8xSUp2m+LfXTLYj6kuZvQPY/LaxyzXrttVGbLChzjGHw5orlesznOqVUG5awiGXSdyjEJsVbui9NV7RNugakOrhEs2VS1qtaN8d0P+6pL06zM8NJvMx1xeUt1soW7ugV6aOhzR6xpM0UAcY4KYNqvZzUqKdUkjnOXZ1gqET77I0UGH5vUFvUlEerHBRB22VwXSh6gXorMCYwwiDpzOIClIztYov0NbtviqJez7lOsK5nPCNkWHHQrdoclazHyJbsBqhUFSvb0mf3eH3e3whn3wPKJ8RzCK0Z0Bie0hlGIyleBJ6jOnafJurxGbDeWuoYqHLL9dUEd9ZOBhDw9pz24o5jltoRCeZPBkglruWL5cYfEoNwXTBzGsnajRVA22KJH/+l+jtzvqF+9o3l/hYbBlSXq1YxArxGaH7Q2xVlB//g14ksV3K2yWM5lAfbckCiz2xUs2bzcEKJdwOO1jkpzpD45o3p5jjUas1zR+h+TVDN9qkuuM+Zc3zN+kWCSqsZSbiu1FwuDBCJPmLgzp4IiytISmgbKiWhUE+0P8tsKPfKRqaV+8Ad+nXGR4h3sYIdzzvmppt/l/bvv6G1u/l8WASQqKzFKscrCGbO2sgPG0R1Mpau0jRwPyyxVWelSbkrAfEHUlYT/CGPAjj+hgiHz2BB13KN/eEtmCu1cJwbTH5q4gv9nRbnI8a+h2gfkCEceYiysGp32qpKHMLKbTc5uAdlAXnWRUL97RiIC2VFQixBPuweWPB/ixIHt5Q3U+dzY2C2UNtYhRpUYnKU3QRQ9HlElN3KaQu1lvcrljE54QRCAuLvCyzCUv+hLTNKy2PlFo8KSFbEe72hGVOxfC0yauGxKPHElLS6KOT/P63NHxWo2xguj5Q6ptRXN5R3q5pY0GBKFEHh64eOUqJ0qWyJ//DG8yIKld2zY6mTB6MGKdxWS/eu986mVLsSrdw+3ikii05MvKoUFbhTKW3r6DzlilEEIQf/yY7GZHvtX43QAWSwQastzFydLQjxTGD7GTCf64T361YfhggFrtaHcFpttH386pX1+Qv76i1wWxWhKlc8J+TLQ3IF3W1Ge3SNNgqhbx5AnR8Yjdde7yEo5GdIYh0iqauy112Ke42uAna2zdMnoyIRx3yD9/haoN0bRDK0OC00OCzz4iPBjgXbyjOwrp2hK7XuJ5Fht3sJ2YqCfxewE66jlSXpHSKdcM9gNm3ywobnd0pl2yXKI2Gf6wQ28Skby8ZvLqL1m/XPLuPdiyIr/aQZpg3587BffDBxSN74KDtg1hW2AubhzPoGkZ9CxR7FMWgk0ikXsjgscn2HWC2O4ofvUe0esRTPs0ByeU/pB8kbP62VuWP3+DKhukaenthzTDPaqgTzp9Sht32W4FeThh9/IW/+YSf9TDk4q4WBNIF/2sjaS8WJL8Dz9j95++ZXTSI7lO6dqM0JR0f/QxQexz/EcnDJ9OGYx9yne3eJHH1S9uaNYZaTxFBR36Hx/hjXqUso8d9Glna1SSozWMf/oUvxs6C6nvoaWH7fcRvS6r7+bIXoyeLbB1gz/oIMIAk1fsbir8b76gqS2msWy+eI9/+Q6hGkytqNKG5GILwpAvClSnRzNbc/nf/LULnlKSZlOCaoiPh1StIL9aY/sD2m9fkp6tqEQHs1rfa0VqahNg/Ajv+TOCp6eEewPU1R27V3O8KiX0NU2mEKqGokStEkSR0vpdmM2Qqzk2iih3LfXoiPUv3pOfr9i+X+EFknivC6FH9n5J68XOh1/uqHYl3nhEk1YUr2+xt3dUv3qJ7XQdHOl0D9UIqErq0RFeL6bZZKi8QkiJ9kKGIqFnCppScfvnZ1Sfv0AIyzo+pg77ztff8QljScdrYDZHrXYEgesaWmMotY8VguJ6jYpjdK0pViW6bLDXN6xuGnwadNhhOtasb2vqXUE4dmmboW+xWQFFSThxlkihFcOBoFqXLP78NesvL0mvE7JVTfX6irZo8HaOUmq0IRhEjH78iLhr6U5DylWO8AOsALvZ0PoRzbaiefiMplTITsj25Zzs3YygH32ArP1drN/LYsA7PUALD7ICP5L4nqatFIff36fe1rx7B2J+R3ZXEE86qLwmeztD9LtI3XL23hD1Ah7/Vx9x/DCgnKU0y5ThxHepWo1h/nJDczmnvFkThZbJ946wCLYbsKs11krSrcZkJTqvaMuWUkmqz7+hffEWczfDWkk2y7F3CwKhaEQAwxEkKaLbobYBst9HNg3Fsx/SBF1Qivybc9qrBWY0IWhLxmxo8oahl5I2kZuVeZIm6CKyFO/RMaNPT+Cv/4p8ntGpd7RVS267tK0l6Pjc/cUZ0iqCXsjBaURTahc44gvs23dI22KaFv32zHH4Nxn2L/6Scu3eY2k14W7lch183/2bxmAnE8JugAkj4nyLSVPksEsz2xB3JV4A5m7B9nJH/ercYZKlRWUV3b4g6ISET0+pcifCst9+h9msKW42BOMOnVGIFwh6+13sdI9OoIiKHd2+JZgOsH5A/vqG3X/6Fq8TEn70gOzPfsH5mwY1X2J/9Q3VIiModvTUjnh9S5qCp2rmL9YcHWp6XYGZzxn++CHVpiYchAij8QZdTFISHu9Rz3fMr116Y0iL3w3oPN6jE2psnmOMJFlpstc3Lvtg/wSzS9ntJLYsWb5aohdbtNIEDw6wFkKpEXGM9yf/BK9y/nlRZIi6pXx7R3gwgPWaWnsIDKFU6FXC5t2aTrHCGMnok0P8QccJNfPakfyePcEb9ZG6QXZC1rsAz9TUL85QCvRiTdgJqG43+B2PyGuQvR7l8TOmz4YfMh78MiF+uA/PnrnxTK6oXl8TJhsCadn97CVtpalkF/p9GnxU1lL4fTeaWqwxSiH7XeoXF4R7A6JIUMQj0tsMvVwznzv772AsKXQHvU1Qoz3m79z8OxzGBIMOWMv8uzWmamivlpimgSQhtgVyuyKkJR76tHGf3a8uqTYVQrf4vqC63TgPuScpFwV3+ZA8GINyLAYLoA39Qwco2zsJqNc5JisxZYXeJPS6Fjufw26Hlj5+JyQYdbHKEnagO+2itwnF7ZbO0ZDeR4fYtqY6mzF52MULQ4yBgz9+jPruPfrqiqIJ8H1BvXSC2SIz1MdP8CdDsC41sz+UTgLTVozaBW3ZoF+8wRgXgFaJLsmbO6oXZ7BYOt3CyzeUNzvy6y2X56Avryhvt4gkoX74MeXNlqjnwcvXmG3K4T/5DDyP8mJJvUxQXsh4e465nVGvc5Rywr3UdEmXLmUyX5ZuzKcMl1eSzo+f09ndMJgGyCyjvZnTH0n04QmN77DG4nAPxhM21wXM7uhMIuJh4BI0b6/QrcXvRux++Y66BBv4bL65RhwfQpoxe7UlCAzF+Jio61NvMxeU5Elsp0u9SBFtzfJX10hh6T3eJ79NCfoBZjGnvNlQzFKyVU0Qe+QFHP3klG7lQGxNqohGAb39Dr5piY/HNFlDvm6QqqGORnSPJ3B0iG0VkacpdJflz96Rv1/QebxPeDD8O9sXfy+LgdHTKdOHXbqRoqnAJhlNbQn7Pm3ZMum1dH78Cat3Wzp7HYK9AfV377FeQHnnMtatMTya3rerpcvejjo+g70AXVYUl2t6fo2+nZO9usJYsN0uKogxtaJ4dYXAEmQrLOD1YlZvdpQvL9GLjYu+TBJkmSLiiO5eTLQ/wiYpXlVgF3M6jw/I73ZE04jTRyF1K8jnGXa2INh3ClXrx3QvvsXPd4jGwTmq+Y62O0ImG1gvka9fkVcgA596UyB3O5qrFY0XI6KA7Ot3YF0cbmfo0VzcIeMIrMuiL1ofspxqW2GfP+fmixmdvRjTGpqsIZr08Kzi0N6itaXeVozEDvKS6vQZka8YNUssFj1zvIU2iPGSNaZ1opv8/RIrJJ5vOByUpF+8Ra22+LHH4bOB83e/fIOtatQmpV7njEYQhpIocsAPvdkinjyk2jvh7hc3yEAQPjyk8/TIIVWNgThC4TMYQWL6yKZEG4HcbhASRCfm7tsVxecvyBYlo+MYz4Pu4QBbNs6ZeDMjm+XUhaG62+KdHiI8S/XdO6p1QadNER6EwjAeGkoV0Gwzrn9+S/L5W/LbBK0terWj3T/Gnl1gL64Jqx31V6+dkK1qEFaTPfoedWPxBjHt5ABvbwxZyurtho4tsMmOeldhhmOq2zV+smK7w21kgaAbWcSwz3alUGdXiIN9muG+S8Ld7Ih8TeNHsH+AWa+pg65jO6wSgjolHoSYvKIdjkmvtkz/wcfUQRfTG6CzCvvgMWXt0Tz9BG8wpO306BwNCGxFcbPDtAZxd0eqe/ivviOoUvpHAzxp3Wit69PgWuDq5DEoTVtZyDOCu2vyHPImRE0PCa9eE/ZDGA3ZvF8ze5vRVpZIthRnC9rLG3xV0e9ZjBfirRa00YB6VxOHmt0XZ4i7Oc0yYdv20Kstom2Ijsfkr25oV5k73WUV6W3G5tWMZKOZvUq4/nLG9edLah0QD0OCbkAZD5FlSXn4GH03J7QtQrc0vQmmN6R73L+fKccQRzTnc8w2I1jOCIsNdr5CL7fo2QITxzRJw6SvsJ6HZxrkJ08dW6IpEdsN+fQxdWXwj/fAGNo35/SfH2DSDLHdEokGXSmqWlLkBrVJII7wdE1NSLkuqeY7qlLTNIbl6zWdxTu85ZqHx5rgySl1dwxo/PEQvd7RLHYk6watDPUmJ+j4+L7ARjHZ12eYJKfOFNnlmu1XF+TXCbpqSZYtqmzYvFqQrxv0+0uCYcz44z10WdG2AtnUqCRDa8fu0L2+C2bzJMX7GRe/WKC1S//zHj+gvZsT5Fvs1RXN4SNUrdDXt3j9HlYpyruUdpWQ1SG9/QjpO/1McpWS1CGiLJBFRnadsH6zRo4GjJ6NEGVOLbtgDU1eEVDz+FSRFeD3IuqrOdHQY/t+hR+H+J6gbSB8sO/gZouc+GCA6gzINyVib4xdLZGPTjCtYnmRkL5fOH6J0v8f966/yfV7WQwkf/ENptHo2yV6OKbbbpGmBc9D1S1ek1Flis6DPfzJkOhgjBgP0MMxarFh0m/YvZ2Tf3eOqEo6gaIRHbpHA6anXdeWKhvCz565lL/FDpW3TnQY+BTLDOUFFKuC+ONHmFbjdQKSeUF5Nqe6uHOxsW9fEqkMMxjidWOa2mD9EOF52LMLGuOTLhuiQcyjPxyTXCUgJG13QJ60RKHGdmIUET6KdrHBFCU2iIjKHdYYzDpBmobktiDNoDcMKJYZ8bRLI2IQHpHU1NYnK6VDCn/zK6pF6owCZY5/9R5PaGbfzKk7IwgjjLIY5TCnfgCyyin6x+Qnz8kTw/iHD9k+/D727TsC3WB2OVYIVt/cYaoG7UW059eEoz6dQYBJC4pgjD67xSQ5pijRl3eYNAMp0UZQffHSRdnuMkdIPD7G1xUy9Kl3BTavIAipp0eklwnzl1v8yRAZ+uz9yQ+Q/Zj0Z9+i0xKx23D1sxtolUvE0y3xwQibZUzNCm4umXYKuqF2Y5rWR0xGgKXXB2sETVLQGA9hFEz3wPPILtYMBmBqBXlOp03ReLRFw+Y6//DgqHJN7+kBYjymvN3hpSuCMsHsUswmca3psqKmQ/3mEi1DVGeEVa67EKBgsyUeRgzDikZ7LL68o5ic0l+coY3A362gKKj3TjFhB5RiPWtYXjlHi80K6rstuTcmu1ij85r2dkEzW7N9t6L/D3+AWrnTdZL7NMpj9RevEb0uZdrSe35EHo6Zv80YPx3z8A+m0Br84wN6QQtVTb3JGAxgZ/r0g4qo5xOpHCskajilSkrWbzcM/+AxZjhkdZkj2xpvPMBaQ+9kiJUB7O+h312QXuzIh0fc/tlr5i83JPMSozTNzqFg81WBt1ujgi6EEerklOh0Dy/0kEVKnbXu3kwN3uU5l79wp/ndmwXNJkW9ekc7WxMMO4T5FqMtDAYs/+xbVt/eoMMuAkNVaAIpqO+2pJnESzaE/ZD8bEaZG9aJoN6U7C52NEkFnQ7VYosuKpovvkHlDWqX0a532CwnHPUQfbchhQ8O6K5vyBaVC+pSBqMs7a6gzpTr3iy3VJdLks/fIowhrDPEZgN1iZoekJ3NYbsjHZ7gRQH+Zx9jmhZ/cUO7d0S1KdmsNKFuEKsFdYuz+xqPWNT40yGl6FKZEH19R7OrEFHEOL2gzWv080+oWzBZhpzfMBwYqvcziqs166ucyJbYqmJ3tiEYxuirO0xeEDc7eo/3iHyFrRWmbLFegIp6JLpHkG8JVYk9PWG7aPCFgzS1SiCDgO1NgSlqslRjZwtYr/H2R1gEXrKmPb+jsB2UF6OUG5HNv1lQbSo6ex18oahvFtSHDxG+R3evh3d1TtJ26PklyZs5PpZe3+LNbgCLrlqGDyfkmSWUFp1XVJuCuy8XeJFPvS3xDybIQLL++g78ANUI4lGMH1hUK0jfrxCBh6ra/9z29Te2fi+LgcYG5KVAnB7i71bU5zPi+RWqsQSRz6hnWf/iPWq+QoyHpBcroqMR/qBHnmomXsL8myXLr24JkznDuOXufUa6rKjTmnrXEHQ8gthD14pmvqHNG8gzRBjSKoH/f/zfo6zH8X/1KWI8xIt8dKmwe1OaTY7ZJYjVCj+SWASqaFmf57SNBgyd9TXbL86wnkRUFZOnY3yjGX52hB/56OsZUZMiQkET91C1omkkXF8jfEG+KrEHR6j+iDpVlPMd3aOhY4LPd0w+2SeODHLQpXp7RdlG1CYi+O4r0p2hWScU6xpT1si2QUpJnbaklzs8oRjt+ZQmRC5mlF+8wH/5Db0HI6IfPEd0ItSTj0jFhOr1NXKzpN5miNmMzihCNZrO4wO8YZ+gH7i5Y5VSJQ1I4xIIRweYJKO53YCUNDVsXi/RgxFtWhCEglp7VLsGYVqqbUWxzKGqyK5T2v0juJlhkpTtyxn9/Q7pxY75v/o5JggxaYmuappWEH90CtsdPb/CrndMzQJR1Oz7W4LNgvDuGmUkaSZgsyWauPe7XiSI9ZpykaH6I0SRE45jisJQzFJsGMFgiKlbbOYCbWynw/C0R7puCVXG8Q8mbO9KpHYRsSaIKG/XLHYRddpQ1uAJS3B6QOBbttcZJncdi9LGjoz59TfstpbgZI+8lASBoBIx3mSMKhrKVBEHCluUNEGX6F//3+HsnPqb15g0pfv0gOZqhhmOCXcrnnwSUSSKMtMUX75CeRGxp1BX18TFGg+LXW0QwyFCa7zbS/zQIwoUB88HxJMO9Hv4uyXdnkAe7+P5At+0mE6P/gBst48KOtSb2qVxlg1BtmZ1WVDvGmoTUjWCloCs9lh/fYstSqq7Ldu5Il3WLsvhLqM1HqZuGfzRxzTbmnKZ05mE2MZphfrljHyeoYuGKmuRWtMdCTg9QW93rL64cHTEXe7izStDdrbELxKUgjD2aJTE63ZIah95dAhY8m3tOmEiwj+YUD/6hFiXTD/dpxMZVN7Q1FDOMoy2aCPIxBCjDNvzNV62JcsFtm4Ixx16Bz3Es6fY4YDoyRHCgnrwkPp6RX61IW53mKomnedUr6+pG8ivNvhVysFpQEBLUGfItkZ9+wq/LWlLQ28vRvgezf4DzGSfutLk25aOyoipEFWF9/ghTdo6mJMBaRoybwTjIfLinGqRuW5OldJYH1M3BJMBka6p1znCaNJEU91syV7dcnAgELsEc3cHWYaQEu/ogDhZYfMdwfefI5IdbV4jD8Z0VYqSEWI6IT98wmJm8SZDnvyffoA8OqC0IWE/JHh8Qr0rqWYJ61Qirq6YvU4Rgz5V12lEqm1F3TqOhicMrQhoi5by3R3WD/Dfv8e+fovSljpXNL0JXgAdW1Atc0QICMkDb070xc9Q9wVg21iE0FTLnPb8jvXrNbt3Swg8Wu2Rr2pkkWEGI9Rqi/UkeueyO7LzJc0mw7T/pTPwt7r8R6dU8YROz0MIiX9zgYr61EnB8UMfv86o7zbEvkLdLWl/9QK1SBDn7ym+OSNIt/jrOeL9O2Svg3cwQb58yft/+57kv/sPaK3xypypv6MnC6IqIfkPX1DfbLB5SvjN56yvcrxxn+HTKaZWSO9+9jqdELx7iV2tGP7wMfLoCOMFLrBouSb/8q2bRVuBuL3C1zXRMCCwCrldIVpFIDV6vqZdpJi8oWk9VCOwacrALxFlgZpvCIcdxv+7v0eWaqqrFbooGcU1o2JB3BX42zVqvSPqSvrzt65g8WOCzQr16i2rn5+x9fewxyewt4+3miFVzfrlkv5Bh8If0b67wpQNTa6or1fo6QHqD/8IPJ8iN2QXK4zvU/X3sGGINArZ1ASPj+iqlHDYxR90kZ2AfF0jVhvaZUKrDDbZQVtx9+2KKmnwVE2ZQxFNCcsd0bCDSTKGk5AqUXjLO4QQiJ0T1nmza9SbM0TjwDLVfEfTWuT3P6W+WSCXC5rpCXJvglck2KKiH1T0j3oEoWE6qLF5TjPfEakcgaXTscShQfkR6uU7dm1EPkvpjQOCNsefDhFK0e1C+4d/jD44ol7nxJMuarVz5DvdEFQps4uK0LNoZSFNaPwuYnZLoyT24hLr+bSlRreG2TdLrDVkVzuqGuxqiXdziVptUZ9/hcpqeiJDVYadf0CjA6IHY9KXV2zPNojXr6DIOf93Z9g8Q93O8C/eoq5mpG1ImlpK5SN++Tkmy1GdLlVlaGuNvrilXOxgsyMahgTZhnDURZ4eUpzNEXWFyHcE6RbZ6xBO+ojRgDBbE9xd4QeSTs8niQ+wTYtKKlQr2Pv7zxB3t+w2Dgbk1QVKgez6NKVilwW0qx026rB6OXeBOUIj5jNUUvLxPzvi+MBiq5o2HrC7K2m2BUFgaRqL6HTIM+uyGeIOjZUEyzvkdIDvCapaUi4L5N0tIkuoX5wjnz/Bas36568pc0O1yp37gYBRmIMXYA+PmTwdE6mcclMih138Z48oiAk8RbQ3gFZzuK+pG0EwjKmzBtUb0RiP+maJKhRqVxCkG4wCGXr0YoV3e0UjIsJkSTXb4j3/iGA7o5onWCRRJPGikGxeoKoWu9ngC0VoKqwRZHc5fpVxFnzsorDnM3zTokonxo1Px9jlGiUC6tYS5FvqsOdiwusW1SjCvSHx/oDpow671FlyV7OGIF0iqwxPgEormtsV5sEp1Zsb9MUtgSeo5xvadQJW0202Tph6OyOhi2k0wxF0PUOjffaf9emNPOTeFH/UIS63tARUXp+i9tFffYd/MKIpFfH8ClnmyMkY0xrqpCLfacLbd8x/fsYu8ymiCYHULL+95ebLFcrzaW8WhAcj2rymSDV1DU13hK5aimWFqAuuzhXS9yhnGV0K2mVO6fcR2y3Fuztst0+xyKmyFpoWG0csXs7xmhS7dtqn4nxGFQ2hVcxebhj2FMZIoodTtJXUm8rpVPz/IiD8W12i28FXJZ2Hew5LO+qjspzFLy759EcB8aSDaVuGQU2d1ojra0ySYt6doeuW8m4Lt3eIbEc1OkYcHtCtloz3POeJjgNEFOB3AjrTHtEgQH33miKp6QYKowzp2YJsC2EkEds1ndjS393QLLcE2zne9TXh4yPSdUO4P4bjI3d6KGp84whXwewWc/IQ78kjzBe/RJiG1o/ZFiFt0WAXCzrlmv83e3/ya9ua5uViz1eMesx6lbs8VdQRSRYYuGCQdbFS5i/gD4AGogX0ED069FC2oIPo03HLQrLS9tWlSpOZQURGRsSJU+xzdrXquWY56q9yY4SvlEJp3U5kWsAnzc7U3BpLa481v3d87/t7Hmc8Tmrywz3WC8R2dG7LrkI/P8HPVqP17Ge/IBn2lB+uIASy2FGve0xrGB4rwmef0YYYLyWy6+m3NeaXlECEp/30LUno2fzwS7rP33C3TyguJ7B+oJUZWfXA/j/8MYaU3XogaQ+0umTrpmzalOaxJV/EzM9TkrM5k29cMDzuMdsDXe3oH2tUfaD58j326oH4bEUxTyjO8jFpEcGwORIun+FOLoi6Pe72HtUe0T/5L8SLCdnljNB1WJUQioLj+z1aB6ovrhC3NyPbYF3hbjc0B4u5fqB5dT364bMCvV0j04SgFCkD3niccwQE8tUXLN7/hLK9pd5b2GzGlkmUIO7viYIhKSJUnoxDgncb4sgR6obJWYI87pGmgbaDqsYRE8UBP1+CNZiqQcQxflcR6hY3XyHbhvq2oizBLs4Qj2v0/Q3dbkA0Ncf7jrA9MhUHqnVLUxv89Q1BKoZkyvrTB/rP3tC8uoYkJQotQUaE3pJs7seZAas45Jfc3UG4uqI0j8yezWheP1J9fgN9h7MSm04IyxXKDrgnz8e2wv0GTc/Qe7r/5T+RiJ7qvgapkOcrxPUVRmikErjL59j5Cd1kRfJkzurbJ0gZwLlx8//PX9C8ecD84g2+adGnM6R0rPKGzdcHXJQwcTtyfyQKLa3IgIAQArNrONxUnFRvmM/CyG8QBuMkWRrwXiDygjSXdL3GRAWzzDDsGsKxov7Dn9IcLdXekcYBVe0wb64xrWF/3dCtj9jBc3izo9v3iDRBr2Y4E3BOMBRL2tf3gBgjxliCjpFyNP11P/uK9rN35KsU++Ya//Y9pjV0ncMxMk2qz284fH49niBJQRIG8uMteWRpRQ5JQnY2Qcdq7JcPA5OTBHuzpifGFznm/R1Ju8OoDP/wiI1zrBMYlWCtRJ6d0XUSe/2AbSzCWUKaMqDRwtMfLV5q4mWBeTyy2UiiRFB3Ar2aMTSOWBqcTsZW02LFsN4Rb28IElTXEHd7wrt3UNeoWEFd0Z59wHDsUR+9pHcCXaaYZiCPHW0dxmje5g7hDVniGZwkLjT923vax2b0orx/QOcxoTMIO0BwaDvAseLGntC2nu6xwXzxHvvV1+z2Glntx++VpsKvTgh5SfbJE5qbA6Kpuf/ywGA1YbGii3ISMWAONduuRCyneONwCGw9sD9K+us19dUGUyxIhxpz/cDV//X3qa4rplFH6Ae2P71Gnp7iBsdwGCguJhApNj+/Rf6PNMGf7Ypjx9MPY8rCE60m0LZMv/gxh7cH6l+8xXQOTs8JSvDZ721HLOm+wu1rvPUYL9m+3lGbhOrgqU2MOu5JDve4+ZL+eo1s63GqVyv0ckKcKXR9JOz3tOUp6r/8iP3Xj7i6ZfsHr1DDEeKY9naPTFOqyiDTCLHfM/3Nj4g+fsHsG6ckUSBJoCJHmh4nNHI5xz1skN5x1Eu8sYQsQ7gx6qc+fAazEpUohnRGQovIM9JPXrJ/hCz1RInCbo+EqkJ+9BKcxS2W2M6OytDNGpXFlE/nLBeC8PHHdE6TvTxH5wny6dNRHrPbYe62+LfX3Pzknv1Dy+HTK9qHmtZF2N6w/clX9A9HVDCUuxv87ojf1hy7CHNs8C5QnBa4Z8/xbUdVSYKKUIsJWgf6my3u7oH2zT391+9xxpMXgvb5x9QPFUbGOJUg9xvSv/ZbKNtRHG6wvUH/xq/RW4lLc/xkxu4Xt7Q/fTWy4D/5iKQ7IhazX/ZfDe36iNsccUjevOqxuyPu4QH381+gX31GVzsC4O635Os30HRk7Z703ee4zZ7pScRMHEYd8tDTVxb1/BL35j3CORLT0Dz7Bm0viZst9mbN5Nc/Ij/JiSYJ2TzDTBf0ZCS+Qz89x7YDwXtCUbL4xpJZaSgP76HIUWoUv1gU7eSU3W1PPI+JzuYkQ8v+zuDrGpMU7G+bkX3fDQzbmubyI9z7G/zhQPewB2cJiyVSS3qrsFHG8e2O5v2GaOjgsKfqNV4lUB8xxAyrJzSTc4amZ1srhLOYXYt/2I1q5//8OenxgcEpog+eYocxRrf5yXuYlGyf/4DoYsXlh/kI6VpN8E2HqQeq//xT5klLudBUb7cc3u0JrSF5vKK6b3BCIvICXSRMm3va3cBhPaBP57g4QU1yln/9u5TtI9HTJSqS2McD8sk51W2FbS2h7amNZvpiijGe4+//nJaEwx9fsfnykfTlKWm7Qd/doPZbuscaf2zGYd31huRswuSiJHpyhppmiOkEpeHw5QPDrkZst8T371CmYv36QDhW6CyifXWDaxoUfnQ5PO5o6wA64rjuKKsHzK5i6AXtuzUVU0LwTO6/otUlg0ywV7eI81MOtzX+2XMal2N7h1vvqNcN3XqP+MlPiEwD9ejNUCczwuUFcjGlX1ywvWowKKbySG8USkDx0SVxnqBjOc4caUXda+SkxLYdrpgw+eScqEjxQRJJy0HOcVHK4XGglwW1zxBmwHc99UMHw1ho+8HwJNuMR/vPPkEVKdOJxNw/4g8VSQzyuMUvV6N4KSkQ2y1BSiIN6y929CGhUVO2Jx+DMfgsp5ucUzPBHSvq2nF4dU9xWnIsLxH1gUIbwn7Hrs1o1xWibej6EZ8snj/n4dWB+qtrEmmxnSVzNUO2oOzXxLajby3V5AJ7/8juJ2+xmx1RHiNvbwhRSjzLcIsVdnugHRQcj5ycC9hv8NsdJkrHaKEMo1o+aNq7CvfnKCf477IYKCcapgsKWihL+p99QXe/o9i8pfm//S/UDzWTFwuisyXTr34MZcZh76nfPmCPHdnzU9IPzmm3PbPnM2Ss8XVLnEpcZxFZhp4V9MtzungCsxnu6gaXlYiuY8gXmM4wdI73/+E1sa1hvaPoN3SDxjhB00eYuiOThrvXLcPNI7JrEFpgvnxDn8wRXU2nUoyMCNsDIsupHxvyeYQocqRwmMHTbRpkWWLTgmF5TlJmJNsbKAr6my3xcUu2KhBJjDv22O/9Jk7EzJea6GJFuz6ikhh5f4dfnXD6LEI+u0B5y+zDBUbF2PWOoeo4vn1ECUsnUqZhh3vcc7w90oeI9mCIt/cc/u+/hz9WWK+YyorC7pnoBiZTNj+/AwLN7Y6bnz2SLnLiZYF+cTlmkr/zfZyKMFVPc70h311Tv76nu35k/SgxP/2CbtvhkGNLIsoYJsuxP9+2dO83TJ/PCP/fIcTOjMCg9Q45myCGgW4/kD1bjea+IkEpQatyompHE03pvnhPYSsGK9lXY6tptwfXWrqgCW2H7iqS/ohUAts5jBOQp4hpTkgyRIBuN6BnE5J5ymJYE0tH2W+RkSIpY8gLqk1HezBU90f09RXy5XOip6dYCyqM0BRdHcYvIjyDE7i6x+sIF6cYJxlqg+kFQkI/BIbGMfnOM6qbw9giYBRAVXuLfv8ae7shiSVtuSKZRKPlbRAkT08R0xneep6ka+JCj4NbbQ1RBLHmcN8x6AzTeoSOWFVvUet79r+4Jjmb0V9vsEUJWUJoOlyUIBczEmGI5zl+vmQ35MhYIqRk9esvR+nR83PaeEKiLJt7Q3I2p32sSeoND3bJ/rbDWEmxihDrNfbZS8oPTzADmGqgPnqYTHh4CES2oTyboiYl0hkeqpzNxpGlHtUd8dZRX9c0lcdf3aLsgG16lB3o39zTv18TryZE8wzpDPlZjnp2Tn30Y2QvUphdRbdpRvxv3ePWa1I67NUD4nAgev2K3U0zDoc+f4KYFaRDA4s5zRDjWsM8bommBd4GdBgIdUs4HDh+foNc3+PbgSR0pLFHek/QmlBOKFY5Ta8YWoMaeroQ099u6TuJf3ggKM38ROFtQGUZbr1hMIEkV+y/uCfZ3JGGBmVrfByhVUBnChFppFYU9QNOxPgoJZ4kDPc7fNXR/eTnOKmwJjAcDce3GzZ/dM3JRwViOgU1PriErBi9J3mMf/U16uYa++YWe/OAqTpiHRgOhnD3gF7khP0Rt28Yohz15IzNqy2qqRFaYt7eEqRCFDnV4gWh76mbwFRUHH7yhhBniK+/5nhzwBdT5MXZGMHtO0TTkKwy1p89kJ0WqOZIHAviaYxazUljMPWo4mY6YUimYA1dPQKmtj+/QRLwx5r+i2uaqy2+7vG3dzQ/+5p8HtPeHzkePGhF1ziIYqJE0LVQvT8wNA4IdIeBxy8eEP+jGPizXdJb2k+/xlfNKCY5dkjvR6hQvSMtIuxXb8l+7SOK/gFxrAhRwub1kTAMuOkSj2RgVFiqkxXOBTZfbqivt3S1Z8gWzFYxQmvU1TtaN+aEzfqAJBBNMk6exvhDhYw15BnZdz6i2dQMxxaSmO2rPamraFuBXe8I9/fE3/qAfXZOe/aSgQS6geNXa7pPvyKjQTUNeamIZgVudYrsekTXAQKx3Y5HhIdmpJIpjcThnUOmioAY+eKxxtUti9/8EGJNtF0ziJj4dIZPCuLDFjMEdHPg9nd/hmkc7uu3JF1FeNygb67pkhmTuUJVB0ReUD00JH7k6IfNgej6LZE0DKtzVBwhZUB88JzjzqFn+SiX+fo1rSqxkwU6jzA/+RnJqsB1hpAWRLMC/for9u8PxFHgeFtzvKnHPrmMmD2Z4K3DHAZ8MaF67KhrR5wpysLTioz67ZqwOsU2Db5u8bsDph0IV+8RzQHVV4gyQ1nP1KxpO0n7s1f4LMNNl9jLF9izJ/jlkjY7wZ0/w9UtiWtxAYpVirYdXQdt5REChl1LkAHaI76uKKcKcTxA2xB0RPWL97irGw4/v6K53pE8OwEfkNUeJyLkYorMY6R3DH/8BXo5QTx7Bjd3JFFACUdke/q7w2iP6wfsxeU4nGolssxI6JE//wXDes90uGeoOrr/+CMiYdkfxghVFSYjbc14ps9nHK/2DMUcnSajnU5F5K5G1BX5+QQdwfHtI3EY4O6G3W3LpL6hSeaj9nXokSdz/IsPGW4eCUlC3zjyVUHxbIbEY6oBW86xTqBu3uGcY/nlHyL+y4/whxbhLfs6QocBs6kJQhHNCypRQDEhbHbEuSJdZKTLnGpQeBdQhx2zsxTTOtTZiuzt58SrYix4FwXHR4tczOiPA8U0xg1jkThRNaGc0sVT2ukZHRlDaxFxhNEZ7c2WbKpQn/2CrgtIM4x+EyVJYolazseIZdPDdkMbIuT5Kcnunr6XtL3i9g/eIOqKpH4gfPgRrZG4weDSnGAdE7clTKakpyWm9+OMg1KIx3v0ww28v8I/PKBubznct7Sv79DJyFGpy/OR1b9vae+P0PeE+ZSTDyZUeoacFQzv18xPMkRwmK/eU9ceESdkruWQnNBXA/7tOyY/eDnyOZSjvj1SxD2l7rH3W4bbR+L7G/rG83jnUBjc/YZgB+IvfsHuzR6ShMllgQ+O/npNE83oa0NfDXA8glQc/sMfYb94BW0DXctx79GTkv1NRRJ6Bpkj3Wj3FFkCX345xnufnSNjRVcZBhKyZUb2+J5BphTuSBh6imggmaakuaD49IcMt48jBfGLL4jPZ/RdIJ2Oxa/pLFEqiXVABE/vFDYp0N7SVI7uaFHre8QwoseFaeirjkbk8PDIsKk5/OKa7qFi+2CRccQhu6CpofEZzjhc26JSRXccMNmEYX3EVP2f377453blP8e1eX3APmwwcYG5XdMtzmmcwi3P6GVC1ziUbWnuGobKYeqB/vqRh/wlca4YijmHhwFXLqA6YoUiXk0Ig2X48S8QpsOg2X39yNAHZkvJ5NtP0WVKyFL44AXJIiOqRtpdtJoSPb9ET2LCYgmnZ0w/WrE7KoQx6HmJ/PIzwu5IFxLaJuCsGwsTF9gfBMOuwWVT4nzkJsSTGE7PsSfn2P2oS56UAeXsSOuaX9DeN9SixKcF+uGebBoTYcgKcG1Puz7StYJhU9HLjL6YY9ISlgu8ilmeabrbHZ0uqLYDkWnwUUpOg5ACub5HH7eYpKR5bIj6I4m2rD6ZoZ6cQhRhpysmC0nQEUynVH1M99lbtl0BV1e41++YfeuM6qdfIyNFPuwQkwliXqKGlmBHYln92TvU5gGVqFGFK3L69w/E0mP2R2zb0+sCkhTZd5SZw7y+ZnCa9mjxd2uGhx3R5QlZfyAeKrJuT5RKRN+OCGYv2J1/Qnc07E2OqTtsMaV5bJGTksPyBfoH3yBEMak54FEc7yoIgWHfYtd7ItNQff2AzSfsfvKe9npHNo1H1kRdYXrH/n/9Ee1nb+DrV1S/eE9cZhgzegP6r94zfPUe21jM21vMscXPF4TZnKg9sPxkxeAjIukJ1REZx3idcv/O4HfVCJnSkrBYMpU1Oo7YsiR1NbHocXWLyab4csLGTThuPXEWIWINxnCcXiJ1oN4aBhNwCOrpGe3RMik88+oKNc/x6YT+5pGDzcaIa91gHo8kQ8X+uiLd3CJFwNQ9Oh7ti9uf34ztj3IyKrxv73Bffo0/VHRXa/LqDhUJbNOx+N4lca4hihDWEEeeRJvRWvmt75JdLqheP/Dlm5i3VxJnHFqOhW90MsU1HeL2jvnUE/ue1cyOMdWmxaApUst895r0cEfTBfx8RbWxdJ1n+u0nuLqnvdnQv3vAVzX63SukEKz+4kvqyo+67mbAG4svMoZjT7FKqNUMGxQ6jzjcNONMwM++oGsC3XEg//zHiFgzDCO4q9t2+LrGVQ1qv8U2PVQVg0rIlSF9uiI+m0FbI7qWx7cNkeiR0uOXK+rdQLAOd2gIUYw14PpAVjiG5SXt3mB7R7c5gnXY3XGEhEWSeDggDgfcEJC/hCVxrJBVxVD3uDgjOR2LuOH2kbiIQEfUssQvT3HHBl81+GEskHQY0KbHPO6pr/YMXtP78fvMVB234gx3dY/ZNeizJeWzBdzc0VYG6yTR2Yr9ehgHqgP0MuGOMwYj0csFyXKCtIa29uiTMcmyXX6E8wL/1TtUMEzXr0i2d+h6hxCKZDgSqobmtqLtwbUDm9d7Dq4AHxDeojSkZxOC8wyrc+JJSuMUMopwUuN7Q3ezJ7Q9JBrfdyOK+65C2fFEabjf8vB1RUCiI0GyKoiWU0LbQvCIYiz8bDP8ue2L/10WA826GeMsZsD9x/+M8QrZ9RzSU5RWmN6x+mDG5sdv6dIZUoP+4lOSZ0tsNTB9/ArbmXFDfnfNhAPSGqbffQo4eNyhioTm9R31H/yUCEdSRgwqpdkMpKcToo9fMvtoSb/voOtGE6ETyDTG5FMSaXFNj/US6Sz93QGFZTDjsS/bHaE3tNd7skLTdQHRVkxUTywM1gbqxSWDE+iba5qHBlMPiDInvjwhkoaH3/+K7d1AqGrUUCO6hmA9dlcTq8Du6z1ytSR6ekoxVXA4YgaQ3/s2j5/eIh4eaKdnbNagXl7iq4ogJCJ4klQSrm5p7w7ULkXWNcedJ/IDSSrYvqmw2wa9XBCVGerJOe71FerilEZNGd7dsW9Tos0t/d2Oxe41k9yMWNLIYW83qDymbzzq/hr76eeIpkFHEvKC4AL1ukZUR/oO2tUz0mlMcB7KEr2YUHx4wWH+DCMTwu095nZDsiqwdYfcrAlVRRIMLp1SP/8WvhtYFQOiqsa0xv0OEY1Hq/p0hjcWHUdQHdEKdLPDbo7YphtVv8sTrj+vsfsKbQdEb/BPX6AnCe7JS1SeQN8Rwrg5us5g7h5x3iOzGJdNoesw7Xg/dT/9nJP7nyGu36OLFBZzkt/6PpPcEoIjbXbM5JZiJkFKQjdw8vgZLi/IfvAxKhaoacrx1S0ca1RzJPR2FG0pAbM56skp0rSEbiC9e0NyOkX1LXK7BgRGZmPe/M095tAzWDD5nGHbkKeSW7NCNhVD7TjoJV5rdl9vaR8bbG1wsxP62qDX9zgRkz2Zs/7JNT0J0gz4fUVSPVI9tOPfa1og245smXH5rRneeRCCaDVj3t8RvMTnM8zgef+/vmK/l2wePTtbQN0wDIJUdLjB0JYnKNeh04jZty9pyBlkjDw7g6+/Jk1GV4XZN6hJyuGhY10nYz7/viXsa9x2S/t+i3eCIh6IyoSHVweCc+zbmODHQdysfURv13S7FrQmOp2xPJVIQDQ1xZd/hGorpo+viZ+cMWQzhFJo5REI1PqBqN6ghUdFgrQ7jpjw3ozfHx5Kt2d4PHK8OtKGgomoULFgkDEGjWntqNWNIrrP3o9ROxExqAQ9tLSPFXG7wycFibCc9DeciwdClhKCZ/PFhtjUkGVUX94Sf/gMl+To0zni9RuaJmCfPEVISXfocdYjz1aEKEb7HmU7ZCyxhw7noN31hLKk7iNEcIQoYpAJcQo6T4h/8G2KiylpvwMpEccD7tgSvKMnYnM90FUDAxE+zyBLqQ6GcHYKp6fIJMZLRQgCu6vJ9Bjznq6/osvmqKEjazaom3eYfFSC48G2lu1Ni7q7RnYV7uYe5wST04xeZHit8feP2BcfENZbDmJK6HtMPTA0Dvfla+gGul2Hfn5Gu+8J+wo59DRk6DxGxZrkdMbhzZ7q86sRZZ3noMSf277432UxEKKYw8ayyZ/h3rwbn+Qi98tjyg5R5qNe880rlBa4OCf94JJl3uOCZPOLNdnuinhzR/vFO2ZzRYRFvntDH83Ib19RiorjH36JWR9QRYLqW+KLE9pDy2AUxUcnmHSKDJb+jz4jBI9RKbIaM8eh7XF3D9iqIVUdJikhjrBGINqGWeEZ5qdIN7CcDPQiIZoVpNqi2yO2NojVKSfDDWLo8JMJ3SAoVynN9RblHY1PmTW31DVYnaJ8jx0Cxx99hcxivNRMxAE7PyGWhmwew/oB9X/+n8lziXj9mp0p6L96y81Pd4iTJTkNnVEj9cz0DCqlXETYdqCrDYMRiIc79Jefkj98TXRSEk5OyZSleHFCssiRb16RiA6Rp0gzsMo76AdyevxmhzQ92vYkqSCbxuTDnrZhzH2nOS4e8/W79yO8JgwWdb4idh3Dsae5ORDvH7BFjv30S6qvH2iutoSmI9ae6rYiND2umNNVjpBnUBT4/RG9fSDOFGGzwZ5ejqeZThGkZn4ak/ieTuQkfTUeo3/9M/LhiIgk9vlLlkuBOzaoJxdEkaPTBZECmWomTwr0fsfh3R43WSC9xVpB9+kbMtEjh5rh2FG/e4TTFdq22M4hzYAzjmAsel6Qns+RN9dE04ycdpRjDT2J7MnNARsUfYiAwCRqeXbW05dL3KEmeJDXV3QnT0k/vKSfn0M7ttNC26OGDl/3KCVR2zuc1GzMlG16htsd6aMJPG5RRYSLNKpIyB6vkHfX9ConfbIk9zXd529odw1JGph885IkcmSnJekiI5mnbL7cUYUCc7NFuZ5dE9MfOlidEH/jGfk8Ie4OpKcl8qMPoW3o0hm7y28yXN1j9zXm4cjZywSSGC8j7KFiuNviNwesAycj9GqGXM0psoBfb9BZRJwGdCxo3q9hOadQ40R6bGtkXiCWM6yKxjTC9Zqbzw4j0e/5S+x6y/SiYPLRiqYcZyzM7TiX4W/viZ6es94pvAP/5dfEbYWUHuWHUZSV5ISXHzCUK1wcoyKJnE7xWmPrHrOtCZstvVeEq/fcXAvadEEZjngVc/oiJ1zd4DY70sMaH+ejc+XYjxtjGjNZJRweDUM3ckSUMyTCEKynKi5GZ4dWyEjiiylDSLEGuk2De3ONPpkxPV4T11viTCMnOWH9SH80xE8v0C+e0O9bcvPLLH2Sk7k9emjxdY9d7/H7I+22oTEaH8e4JEeZgb5YwsUT7NkFw/YwStg2LbZuSZNAUkqUsxy7iHLYUYaGNDS0n9+w/MvfYPOmQVo3elMW6WgzVT3HQeHevSfkKWm/x3tBmng2YU6awu6hh6KgIiNYN84XPdYoM0KA2p99TTyJYDYjG6rRWhhNR1mcSrGDp+w3dNuWTma4ssQLSfLslCJ1dOmUIhvFTCrR9OsaLwWHmyPdtkemCqcjpP4fCuM/06UuTzHHnvVBY97fIeZTxHSK0jB4xXC/A2PRt1ecPIlIuiPm40/ov3hLNInR2rPrC06bt0jbw9V75LMnaOkw+xq9vSdXA2ZX0QwRRsT4szP02ZxgxTiY+HSB1QluV9P7CLs5IvBM118jHh/Yvd/j1xt8WpK8+XIUoLQD5ZMJaeQwmz0ESLs9sjriJkv04zXz7z0lax7oNjX+5pbV4TV9sSBNweoMtZqx+Ow/oW7ekhYaYTr641jRyt2Ozkrs+xs0liI0LF7/iO7tmnwW4dCUquGr37vl9FzR6CmmN6T3b9ltAzo4uLmhtQrzuGcSDri0ZLJ+hWhahLWgJO7xwLGCKAokfqRz2d6gEk2+SnBxymyhUEWK2O/Qm0dUd6RULd3DkXR3j3x2iSkX2MWK3B4YnCa5XDKIlGZ5SQijcXGrVrjBkk0ihJC0hwFzcw/eo51FVEfMw5Y2X429waOl2XYMnaWZnHIwEa7pCFLjhCZVI6FOdi2u6emMpHixotp0RL6DaYnSEp0JjIixA6SzmFgFVH2kPC9xNhC8ReOQMhBpR1xqyouCSHm6t/fYhy1KS0xUEJzH9x2i6wmHmm6Q1OuGdJbhZnMiFeD+jubugMlnuE++QWI78pcrNnuQWcLMbkiUgTjiMH+Bqwfi0zmRDGSFYnk+Mh7iFIR1qDRm+msfQJqOcwc6HlMWxxajIryQ6ETTiwwTZVQ2wwaJMwFMR5xrVk9z7NUdtjXEuzvqJqAOe6KhJvQDw6ZCdS39v/8D4uFA+Z0XDD/6OWoxZf7RAnm6wn3wEUqObHsdCeIU5GyGrXp0opBpyvwbK/xsiTo/IX2yHMVbzZHV4xcs9Z5OTZgXHVEWIU2PaBtW4kjfC3w5JXiIhCPfXsFsxuR4CydnbG9HEma5ihGnK6Iyod+1WAfZN16MmfC7B4ZthVEJwjpC13O83o/GwdMzolyhbU+aCfoQE5UJlUkIcYRtBtxsys5McL2HJMEoTedjso/PEFohhjHae7ypYLMjFoagEwKarnE011u2TUx43BKGjsI8EuYz0kKSJBDNM5CCJuSktkZHijjXqLZGJZqmchSRwVszpobKCcVJRus0MgRII+SiIMo05TJGni1ZyB2xNIjqQLK7JWt3Y48/BKQEOSmI8hjd1RTdDrNvyPsdiWnh4gznIRU9M79nr07ISsmeOf2+pvIZprP4dqB6vx0LmXSGaBr8dEKhBlI6ukGStFui4yPy888xQyCZRDy82o/cECFIlB819HGOzmLcvsKLGDH0ICRDnOJ6y+w8Y3/do9NxQLKpPEIJ1uqCdn2gnEdErgEE6TQiTcDVA/3slFpOkYnCVAZpOpohpu018TTFOUGymhANNaacwfFIKHLUtMS5gGxbVJaAc2AcxnhU9j8Uxn+mS2UxcS6YffsJXbbgcZjTFzNmE4ge7/CHFjtYyrnGG8d0Lln94Bk+LShySfN+Q5465NNLkqEaNaMvX9AWJ4i+pTv0lC+W6Ajasxfs94FqSIhPJiRRIJUD0STF/+Sn2N2B7OlylOwQyMweUR1wNw8IJaiWz0kmEaLI4Mc/Idze4PqRFhepwPT2c+TmniBAbPf4Y42Qimo3EPsWLQPkY+UeyhJ/rIlwTPY3oCXRfkPXOkLdsk9P2cVnv3zKNAjTEEuHOm7RtgMJ8ovPefj0geirz8BZUt8RFifcPwj88UhYr5n2a+LtPfbs6UjF23qU62lawZBN0UNL6hpSMRC9fUWIND0psj0wfbFgOAzMXs5JMoWwDn88QFUTV49w2ON7QxSBihSm8wQfEH0HZixqzFdXYCxVH+F6j7IDMo6pa8/NH6/JXEdKz+N1jy0WKD+Qqh6HGIuVcsHx2Xc4P/G4oAhSoRmw9QB1Q9cIep1hqo6oTNGnS0SUssw7smk03mRZjk9zKjUhm0aUsSXf3xMnikLUNBUMTjPVDUno0McD9uaRoDTZ0yWRsmQZzPyWSBi0t4T5AheleBcw9wfCyQm2c/D6NaFqsIPHB4m8vCBSlu6xwRtBcjZDbLf4fnwyyc1+hM9Mc7L6EWMYhT2mJy8lPtKI6shH/5dvwTDgb9aoq6+pKXisUnbPfg2kgihiCBH64Z6Hjabpoak9hweDe3uFeTwg0xSkQlmDWs2Jdw/Y1jDIBDn0uJNz5B/9CHFzSwie9tPXTKKeULf4swtan2DrgSlHgpTY2zVqWtIdx2FEMclQN9cUekAJOP+tp8hJzqoYiLo9+ZvP8IMlLxWHqwPDccCvH1He4BHsrhv67YFh31BMI5JcMYSI47sN7vIpbrYCY/GDI0tGU+duHTj5oBxdFImmnClMSJBu4OH3vuD+xzdUdw3t23v6QTD5P3wb1R0QsUYWGWkmEHmO6FqUDDgVEU0TJu5Id7CE/YFF94DMsrEd2Rmqh45hMhvVyc9ekMgBtZxhfaDMAkozkkjrK3xnyBOPvXxGMI70+TnhdIWMJVGm8bsD2SKlFDXXXzTEi5xuOyDLDJIIKRkHVSUk0hJ3e/JlQloIImnwP/0U1o/Urx/w2y325gElQWjF4aYmMwdi7cei2A3j/IGw6O5Ae3TQ1CTbGyLTYgzY9/cMXjG5f4uqdtzvY8zdhspmiFhjk4JIBZyIONYS1xuKqcDcrOl7xs+cnGMttDtLWd2QPl5zFCWm7jFOEqcC2TWkskelEcPyFLXf4eNk/F2qQH1fY5uB+893BA/u8jmiamgbgzn0tJ1AKkmjSzLRM80M9+oUk00Jxo7R7qs9PkBBg1UR3brGesGgMg5hQnSxwlQ93guCD8hI4QaPziO8F7g/v5GBP5ti4F/8i3/Bhx9+SJqm/NZv/Rb//t//+z+Ly/6pqx8E0w9WVFvDrkuIvvEB6uVzom6P2G/ZvdvBfk8uGnhYk7485yI7kO5vaXuBOOzJI8u+1eySMx7FkhBFHD6/I6p2hKCIQgduHD5UeYK+v0FmMVGmmMQtMpKEKCZpdgz1wHD7gHmsqcWECQ3JYYNMxoFDf30D11d0h5Z+W7GtNJQlPisooh41KXHFHFPOGd5c45KUvjyj8wlhscBOF0xOYmTb4GxAnSzpigWJ7YhWE+KnZ0TdEeckuj4SHXccTEY/OaVPZ8gixxnwb68Zstmoj73ZYfIpdrNDXJ4jJgVtcYYoS4Zsjuwa2niCcga53zLZvUdGGhciCtUShmGkec1OGN7d4XsHkxnFMsdLjT9UMJuSfXQ2Ama6GhHHhIctEQb/7gq73qPVCKVpty1RERGkRLQ1amjw8yXzqYMshThCnS/JLhfITONcwOsIsZyhgmXe3BD3R6KHK5JcIYqC/nZDFxIGF2FkgrGBwSmsk7R6Bk2HePOaJpnTdYE0kxw/vUaUOVVxRpWf0VkNpyfoWJAf70lXCdp3hG7AFQWNiRESqGu6xhNWK0LTIz1EckC/fELc1yymHvfsGS5KCVIRHtfMPliMmthB0K2PiKaiudqSLkq6Yonpw+idOP0IW06RbUNIM+TJKXc/vqGZnJEd78hOS7qnH0HXoYoMJyLE8cBQD5ivr1C2J5/FVD6ji6f0s3MGmXB8t0NMCnQY8E1D51Jc3eGSnHbdYdY7krMpvu9xzlOeluzFFPv+Guk9UT+CevRsgh0szkvquwpxf0ukLRaNPG7o4ylpHIiEY5Z0ZKXk9e8/UH7/JTpPyBYJbDbo0wVBRNgQ0bfQGYm/v2dZVAjjSB5vyGWHtx4RK4LWtF+8Z/P//AnRokSX0agOdpL6/Y7h3T3pR5ccf3FD1euRcbE5Ut8dEDhcOSWUM9JcYLVGdQ3qs19gLISHHbHvqd9tCUWGdo5YB9qffY0/Nuj5lC4ZaZSqSKE3uCj65UmFx/YGY0dtucwTun1P38kxlicU7aBIJim59oj3Vwxej76JvkIGR/Hljzk2Erc9IIVHOkskPDaf4nRCMdfky4wscSgctmrGmQw/MlVUErHNLnBCo/7gD9GTguOX96ihRzw+Qlthv3pHe3tEdRXxkwVkKXuTkoqeaH2NnS0IxhFVB0SRM6iE9qtrUnMkdA1RDLKtiHZ3eB+wg0dtHrFWYI8t1UNLuH8gFCVSgH3cE3Y76gayRYZsa9raEYoC6QzVp1egAlm1pjRbzNMPCUkJWU7iBpL1FWq7JlxeYOIZ0hpUGhOkwrlAUkS0LkLEI9/CJQlOSB7fNNi4wDkY8jnttiOXA7ptUUlM8Y1LyFNsPiU+bBgmJ7jFAjEYpPCo50+Rk5IsF5geIh0oXi7RkUQXMe6XhYEbPPXt4c9tX/yVFwP/5t/8G/7BP/gH/JN/8k/40Y9+xF//63+dv/W3/hZv3779VV/6T13RccPQeoLz6BfPmHzrgsOTb5P2RygnpIUk1qC7duwd+Zg3P1pzfL0B5ygzjz4+kquBpg7U7x85PvTYY4svStTZguzhLYm0PCn2RMFw/4dv2PzelzS/9lcQw0A+i1kuArFpcIPDqoz2/sAxWeHilAGJUQmPX+7h4ZH4/hqzuoTZgkrPsbMlfVYgnj2lv9/S7AcGFxGZZnzinIC/fyT4QJGD2x3Rtqc7GOKPnzB5OifCEAJkT5eoRFPolpwGO5mPlf/dnu2DQZ2fMIgEZwI2K3H3a+rbiuO3f5No6MmfLjFWkJ/n2LNTplFLdrgDMwpi5PU1ojqS5IpgDTJPkb+UcuhI0N8fiJ6tSE6mqCLF+UCIU/zTZ+Pn1keU6RhkhJhPMPNTvLG07+7G33cs8UWJ8RFlEVBDRzwvyD44xzsH3/su3aahHhIGC+nLU+J5Rux7unqgqzx680C4uqafnBC5GnX3HuMVRz+hv3iO7x0mKce+q46wFmyAULcM6yPHtcE+bGh//6c4nZIOFUIICtGNw0NZhCmnBGvotj1mc8D1lvdf1NS3DSFJ8TYwyBSsIV6kZN//iOFuQ0GFkn68R0TCcBzI2g36dE7IUroQY+cnPB4S8iwQdnusCaRZYP6kwJ9eIrQiTGeE1RltPdA+1hxNis2mhMcdAzFhOqdLlwxekkqDrXu6+wP6/or8bEoRDUTTlLB9ZCDCHMY+q54WFAWUJxnl/gqShCrEhPsHTFCoJMLoFHnzjv52T769JRM9cbVDpBHNIJFpyvtXowhHmxblPCZKkN4RJhNkHpEsc9wf/wLdV3TrI30vOf3eOaXdk2eB0x9cMH0+Iz/NUZnmoJbQG5bZQFL+8n4LA7HvwXvc7IRhXTEENRr8DhVOKuq7CqblOPCbLGhCQhACFUkWWUs3KLr3D4QAIYnHf1cNoBQyjkiHPf37O8SkJL5Y4I4dfTEDY5HbDd2modt37JkyHHoQjp0+pU+mUJRky4y1OKU5gmksxkpMkrNfvqTbVkTTnH5+hs9ziicTQqRGpkQfUDc3JLJHNjXHjYG6JepqhLNErh1dKcUcqhrhDfr+FqUFQohxdu38hKzULPMelSa4s3M0FnU6w1zd42ZzgrMU1QMqEmNhJBWFHkY0t1UjJ2No8B98iFksCVoRektDSXR/hdARwStECEy2bxB3D+QpJGclia1hMkH2HW5fE3U7ZHPEhhGFro4H0udnlOcTQpJSThT52YRmkCyjA9PMksxz3MMjyhm8Dxx9jh8G+kHit3vaIcKnCcvwSG8UPinptzWDgYefPuCyjOS0ZPG0QJYZu41FTHJiaSlXEWiNjASmGmjUBHE4UqUrFmmLwOJPVrhkwmrp4fae07/6DZyDbP2evvfkzxek05g4j5BZgpeS9vUaPS0J/r/hAcJ//s//OX/n7/wd/u7f/bt85zvf4Xd+53d4/vw5//Jf/stf9aX/1OXuH+kbh9iMX2rCWKJvfkTywVPieUHRbxkOLeH0FMxA89iOEaJ8gswiklmCrCrij1+QZArz6oomXpI2j6iPnnD6rRXi9o6ycDwX70gWOfaT7+J+6fVuDwax24DSlKsIOZ/Qff4eUVUU0YCxEqwdJ8rnK+ztHdZLou9/QnpSolLFMT0dJ/3ziBiLtQHnHEIE1GTC7GLcGNp4yvJ5hjs2aOWp0hNCMWGIC/LMYd/dQpLgkcSrKckio54+wVQt6id/TEpHdfkJZnMgev81Xkiim/cMTuBVRCwNfrFCuxa1fiTIBPHkArkd+/zNpoWHNUYkuKLEmcCw7whB0h8GTFZyc8gQSUy6ykEKFmGH9RI7PaGXBemwJz5fEJ3M6eeXDH/t/zQ+fQ0Dvc6Qiykny1E4En30jGbfU8xiEmWouoguno5CojdbpAA1LWg/v8IdjtjGoPeb0U1gNBpD+OVTkhpactnDMGDLCUqF0VPebvFlCZs93gXi9RWX+g4nFN2mZl3FDCHCW088SRBNjTn0pJdL9O0Nzd7RuIzJ9i3y7g539wB5hqp2DE1PrB2ybxgeKvp3D0SxoNvU1HuDf/4hUnqEd+hYj850A+v/8gYTJOFY4QVIrYmlJap2eBWR6ECXzYgvlvC4IVMd0XED+x3JZ3/E8H6Nv3zKITvF2l8qn2/X2KLE7CpkLPG9wwVJd72lXY9M/uHxCDIQC0/XB5jMxsjlZDm2LzqDySb001O6dT1y8l0LkrH9lEfUyYI6nlI1Hu88zaZHhgHrFO7yJd3yKfOLfHwCrwfan3wxZspvd+gkRgRPGXdIKagOnslFjswSSGNE36HfvWGoHXK7QeERTY3TGX1jSaYxaj7HqZRQtxzf77H1QHqxpFzE9D6hF780hb54SRY6htqwe1uPPd/FBLUe/4baZI56egF1QxgMoiyRZyua2tNMLrFoSGP0rKDZD0yelSAFejCoTHH049zF9IMV3aAZek97aLG9QXhHMktpkwV+sSBEyTivdP9AYyKY5LjBEyREx+3IBYkCrYtwTU9qKkTb4Y8HnAXRHHEPW077t4An7vbEYsASIXwgES3RyZR4McMtVhgrCVGCu33EGSi3V6TnM9jsMId2bMNRYITmaHOGzjB7MUdc35IpQ5o6juffIM0UfjLD+BGZvORAqh0RA2kZo4Nn+pe/jZeKOBX0jw35cKRZnGOmSw47y2olmDY3xIuCdn7B5MmEha7JpjGlP2CnM4YQo09mZJOYwcqxclcKkcbE1QYe1wgpIY6o746orqPZD3TrI2noKFcZi5dTQpqTZBH1EQSep3/xKfFE0+cLPAERRVQ//pIQxCiBmk/R8xnD9JT8rCBIxdkPLhhai7IDUZlhRMJwP1pjl9+9JOiUICW9FSSz5M9tX/yVFgPDMPDDH/6Q3/7t3/4T7//2b/82/+k//af/6vN933M4HP7E61exonlJu3rG8es13cGANURnC7Y7yEqB/vIXHN88jk+dacR+F+jvd4gffA/X9uhpRiQtbjajfDpDXr2lu3vEvL1D396zepJw+1+uKe7foqsDYT5H/dq36UVGdjal68e0gLADSQTuk2/DpBj7/mmMT1JClBGylKZXmNYyzE8RQWD3NRN7IF4WdGpGdNyRy5pJ6vHTFV7HnJ54VsfXJNMUH2Vk+wfk/R1hMafZtIgoRq0mJJlA2I563dAvL/BNR5KBqxokntxXxNMMOZ+NT2XGY6uBxfVPEbMJ/advKa8/RUSKadRzMAm2H8lpcX9ANkcmecDJmC5fMFQGO3j6dEaSCHbRCfXO4dKS6vUG2h7dVeTfesYQBKvdK8CznX2AW52ipyVCCiZnOeH+Afewp/36nniRUzy8ZTDQ14bcVlS9RHmH0JLgoOsEar9HXr+nOwwMcYmwjmQ5RZkGGxTu5JSDL/FRxqNfEFYnCGfRj/cQJPkiZfjkm2Ta4J0ndB3udk2+u+G0bDCHlpCltOuW3kf0MobFAis0rutZ/sYL5O6RafUeLR3KWawehyTdeotYrUhO56SRJ85ihl6gDjt6p5BNS7vpiG1DOkkwTlI3nurVPWZxynEf6LITdH1AH7do5Ylu3yEebggPa6QbSH7wTSaXBXm9oYwtWnj8sSL2Ld56yqmie3U9toSCp/+jn+O9xKGR93dEtmb20QrbO0KWY0WCDI5oaBAKzKGl8QlSa+z8BOlBJwJvBWIYMO2ASUqkBBVHNNGc5vMruhbykxLx2RdEuWb5wRStJcFDkJLivMScX+CFJByPxP2R6UWJahvs4w59cULuGliviY4byrMCvX3ApeOp0XC/Ry6n+Lt7AoJhfsqBKbu3FUp5xGqOmmb0m4q+C0zrG+S8YGVuaUWKnyzwSLqrDflEwvGAerzH6YiKKWy3iPkMfTLHRjHZIsN7KD48pQ8JxyPsjhHOetoO+mLB7qrGhwg3eOJpTL694TB5in68w8YZATBW4HqwSYHpPe79PXUvsUmJTDTJww3VdmD60QlxNU7uSwKzD5bUQ0TfwaBSorM5RQEkMdI6+uUlSb3BvLsiMh39Q82gckSWcfGXno0ciVYhV2N7cfJizuaHrynnmnJ7hRpqVLPHHBoi11PLglg5+nLB0HrSfkvvYmSkmLotbrFC5xldUsLTC5LQEIWOfNiSLyPs4gSzrREKQp4yixpQEn+oEMaSmAOTi8kI+2kD63cd1gTC6QlpKlDbBya64fq/XKNtj6sH5LRg+eGU8PQCPbSQJQgdQQjYKCU9rHGzBSpWDMcOX1eIx8fx4cq2ZKElmyfY5RlTvwUliGc53bbj2fdXFB8/GQd+lzlRLPFpSmh74kzSGUl38gTRNkRnc/TrL+n3A0bEDK3DVi2mGRAhIIRH5BHZaUn+dP7frptgvV7jnOP8/PxPvH9+fs7t7e1/9fl/9s/+GbPZ7H97PX/+/Ffyc/n9ETMEaMbJbCSoLBld537M93eHHldMsPNTQpojNxsWzwp81dMNiuHdGn3YYzpH2O1p3645DhHCDZghEILALVYEKTm+/DXSRUnvNbPvP6WvHb6u0JnG5SWPf/AV6SJDVA2ZHpCxoreKsl0Tna/ols9IpwnJ+1cc/sMfEaoDs3RA9RUuCISxpJczRKTAevTZjHbTcbfV6F//LompmVR3iCQlzJeEpiF/dkI6VKgQaPuIfXRCtRnQwiOcQTQtnCxItGfy9mcs5gIhAsPVPWo+QT89A61ITcdUNyxPBFkKoRmIypQk9AjncEIy5DPCfE6ejFG6PkSEJMHOTxmqHq81Q2PZ/uHn9E4TlwnxtEDHEtUccVHGcBzIf/ObI4L05oGs2VInM+6f/gW4vUc9v6TbDUSxIPUt84ucvvMMD3sgsNlLqI8ktkFJQatL2tsts49mRKczaFtS31HMNMEZ8g8usIOHPMXcPWJ9oI6X2GRG//ITomDoVQ6mg5sb9NuvaN+uSaSjfD7nvitRzmEPDX5wRKYherzl8IevaOM52c0rgjH4i0uS5civZzknyGg0ETYNeEv8wQUhzREKkuFIVq2hqiDL2f3BF4g0Jj2ZMMk8WgPTKfrDF8QvzlCTksFpVHPAD5Z0NUE0NcmTFW46p6YgOp2hJxmmNfDkElFX2KqB3mC/eEP+bDbeyz6gqx3TZxOixYwhHaNTIk1Iz2fkhSLbXpNHhrDZMI8ahmJKHlv286do16FMAwJckGwnz2h7SdjuGGSO6HvK5pbFeUR5MSVbZti6xxpPKjqqtWFwMWQZ4XHD/Cxm9hsfkhWjCU/hocg5+caMpNDcHCf08QQtDH3VIY/HMeJoe5IyYt8o0hentEfDtLunOTqElETBomzL8bpmf/oRtZpx+oMLpPAM6z0+itBlhpMalSdI6el8TJIHaptweH8cW0hJTtVqNnvNfhuom8AQFSSZYmgsoTMktkaKgDgZcdlSSlJtabfdOL/SNxgLrpwRlCIJLUZE2MYQHzaE45FjHyGQoJMxLWQHju8PDMmU/miRUQxxjI9jrAkoLXl8V6GqA/rdG5zSDPkUTk5ILuY8/TBFfP4FW045zF+SzlN0f6T++Ztx0FV6zPyULpoS7h8YvEZcnOGOLUX1yPGuIfYDfVTQHANxsyPJBDbOUJtHeqOZsqeULb4diC9XmPkJqa2Qux39934TrEXevmfow9iiUYrJXBErj0dg1nvqdYepHZGpcTrlfNbTrGuGoHHtQNVpiosps6nA+oBKIvr5inrvGNIFPk6xXjBdakQaEQaLb3s0ljSB5HBPNtFQTokTwSzuyOyB4nKKiDSunKEmE9AxURkzPS8RkwIVR2SzmGIZIx8eyP/i95GTnOhkRh1SUJJgAwQYDh1aS7JZih0C8bwYDaV/TuvPpAwR4k/2QUII/9V7AP/4H/9j9vv9//Z69+7dr+YHKjJC3XD+QYYQYjxyS8apVZRiSCdksePdu0AfT/CDATPQH3smL+bEk5QhSgm7A/5kxbtmQVpohsmKcHJKa+MxT5/FhHJC+nRFv++420RkLy/wFl79v97gBoesjzz7ZobwFul6BII2W6GEReCRH7xAPrskKiNU35LYhmKVszi8JTqd0d3tCdYiJzkUBbQtySynrwwIiC5OqdMlEo+OxNijrCv8dI5/8w4I+CzHzhfUJqauoJjFRJEglFMGlTIZNkRlgtCa3kj0LGMfnYF14x9SgFQaYtsQ5jNEmSKKHJcW2MHjZEzQmjiRSCUg1tjpnF6myP0OGxRbfULoDHZ1gZ5mYAzy+dnYY+0d6rhHna5IzufYxtDLlGSasb/vqIaEtvHkhzvk168JIeABXSYkvqU4KxlkSra7Q23uie/f0e87Cm3wjwfUNz6gDhlFqWizE5SSJNUaMZ2RzFLE5QWxdKA19dsN7oMPkW1NNEkYSEi6Pf7nn2ONJ/voHJ+WNCFHLqcYInqnSZ8sMQbaTUWfL0AqojxiNe9GE2WeQjsQzRK6ux1SCtptQ7ws6fM5zfIZl8UBt94wkceRCHi/prs70LxZI3Ccfe+E/umHiLMz5t95TkxH9fy76GDpO8E+vQDTIyY5oe0JZvQwdD7CBYGLYkRw48+iFLswZVpKymWEqA5EXUXZbyBPkGkCeYGKJPkyR3Y1UklqSji2+LuHEesqx+G4VpXMuntaVfBWfUhIclw30JmY7tij2ookNCAV5vOvSRYZu8/viKcx1V/+m7jHPeHsjEGn6L4mjmF33YJzdHcHAmC9wh9HwVQdzQkuUK7fYBuDefWW2LXj/1t9QB0esTpB45k0d1R3FSqPMHZUADe7jspo8tTjdgemJUgp2F21uH2FOD9FRJpQ97R6St8LlOsJDxu2X64RIZB9dEYUCUwxIZEW3VSo732bINXIDXjc4coJGEt+XiBWC9rzD0lzAWnOJO3xgyWal6iiQHjLcPmcbt+TdVt2asXjIWWzAyYT1CTDRDnuzTvk2RKRxth0ZGS46QIVCYYhcHy9w+ZTChqME6g8pdm0SALziwxpOvpsSj6PYDIZB1pv3lKKCjsYaHtCWaBVYD15iYxjOgMKh7OeZnYJ2dgqk7GE7Y5mUKTDnuzqSzJTYRdn6GQcoj5efgMXZ7imQy+ndA8Vum9pp+eY1qDrPVxd43WCth2+bfDO44Nn/hsvIS9wXcfJ/muc0PjTM2QkmT6bMlklqPmMIhwpM4uMFUFLeP4MVR0oowEnIogTXDsmdnTf0B16Hv7wHW6xQl6ekcUOf/OAyhPWrw5UG0N3s6WtPDbKUDJgFueUU8H8acHm8x3DtqEdBI9VTL6IR55IrJFZQno+JT+f0O06KDKcsdiqJz3NfjV73v+O9SstBk5OTlBK/VenAPf39//VaQFAkiRMp9M/8fpVrPSjZ4TDgVB3LJIK6Rxn045UjTeeP7aE63uO//HnHBYvkc+e4LOSZJoyP0uIXcuQzxGRJM5iCneErkc8fQbrR5qff0WUaYpSwrMXdL2gud7QqYInn+ToyOPfXCG/8QFmd+T0+idQtzTpChckcjanWz2jdxFDa5DTDH9+yTBZglJMczsyrKtmRMdOZrSLZyTnM3R/xBooooHpKhqRvzpm+PAb2N6hxYBpDLtf3BCMZZDpGCWKC6TtsfX4hUkakR7u4KMPSDKBM4ZtfIbsG/qjpb/f4awnCR2md6RPV8iu5uybM2xjYDFHaklIMvaX30ScnhBevCSmx4mUJl2hcSQvzsmqR6LDmvR8RpwIir/2F+C4I44V6uyEiR7g4gyZJxyyM+g6hn1LiGJCEPiTMzZ1wuT7z4kiT1Ca/f0AhwP5RJJNNc57bJojuw7rNXI6IWy25KGG+QKpFFZFxBONCJ50kWHaniQZj7hlrFHejMKavMAuzvB1TzrskUkEaYJSkvhixd2na3SRsfxkzmAlNgiwA75qENaxuIyRaYSfzCgf3hPqCisjgrMkp1NsloPS2EOLLFLMtqLVU2IdwBnSyCG6DllXqJsr2ts9Lkiy2FM1Y9oBJRAPDxTDjuHQspErbFqSPd7hgkZ2Nb7p4FizMyXyZMmwa7Fo4u9+yOwypX04EO/vKL/9Av3+LTw+YH70UzLRIZQAM3DxUUkxCUjhsa3FGoc8mVIW4xFovbMEpXFO4bIJRmYIBO7JJRGGfhDY1tA1DrPrQCnaN/fEQ035/lOG/YDuKyIcJspoQoEoC6rf/xni9prh/QP20KCXU97fjEa/7b0ZyZrJ6IXImg22MygpEG0LdY0+7tDre8R8QTrPKJsHonmOSDTCW87sDY6ISFp8kjP5/nNMOSd4T6ot9tDjPdA1+DhBJxFpJum8wraGxkSoLEOWKep4JJYDDkV+PsW1BlkdkEVOdjFn+vZniCgiyDGqqfZbEIEhmaAUCGeJpzG+MwyyRO732OmC6tm3cIOlWKaopycMsxVWaVRXkzxdkGQQ54rkpATrMDJFdD3drsPFKW62gMHhtgd0rBhMICpijIoJy7Ho9uUc6yXBeLrHChNivLXI50+IgkFfnmB8hFotcDImoyFOPFGWUawSEtchTQvf/CZhNkfud7SdwL74cOREJDH9oecwfTJq008Lhl1Ll0xJaTEqAx3jkNSDYkjmoCRzv0FfnDJ7MUc1R9Io4HdHQpYziXpkpNGZoriYMFSGRAxkrz+jOC2I+pqtnWCSEmV6kosV0+8+RZydIPMEPdQ0Jqb6g59jo5R4NaWcK+Riyu7r7RiJ7Qfssac/dAxG4lqLO3+KtVA+vEF1FUIr6lZy2AaG2mJChJxOaA5mnMt4usL2ger1FhsUUZlgG/sr2fP+96xfaTEQxzG/9Vu/xe/+7u/+ifd/93d/l7/6V//qr/LS/z+XWM5p3qxJC8niowVGxISqRSQRVmcsn6SEvoO2QayWI7BiOid5eY7Z1fiqYSH3lB+eQtsgFzOi7S2iOTJMTshszeqvfQNxfkayyvnoOzFDNXCs5fjUqiNsXqL+6I8ZpidAILp/T+xbTJTTbBuKXCCLjPP6a6zK6XXJYBXu/hE59BSP7+je35PMUswA9WNP/X5HZDv4+itMnJObI/70BFd1iA8/pBliknlBrwq2Q0HdRxgTWH4wGzeafsAFhdnV6GlJNJ+gvEXc3yPSFHdyRra/J1oUaG9wdYtrB+7+H39M/rM/wC3OEF99jXz1JUYmRGWELwoOekG+ShhMQDQdzbZHZxECCEiybkd+PqO1Enc4kJzM8c2A3q+Jh5rZZYaelNhdg3dg317hgsCsLjjLO2TfovKEw97jWosVEfEsQV6/J/jAw09uyFxHHIFtOtqjIb4YORBxrkilQZ9M8XVNvxsQsSZ5cYkOFoXDmDHdEF+MUSmKGFFkmMFTfOslKosJeUGaBvY/ekX02R8jdo8UsxR3co4fAr4zpOt3RNOURdozXUX4JCPb3dEvntBUDooc13mIUvoeVKIIMkKmMeJsia9aRNtB16PrA6XbI4QYpTn1gH3cYncV8uIUP1+A85jpkn7X4ppRiR3Nx6PtyUzjdhWyTDGTBSQp+ACTCen/8S9hO0hMRaENE3aYZqCtx8FFJgU60WRZQB53CK2ZTMHrGCNT4lwTdUd6q1DSI5Wkd5IqWYyGzTwd0bDphKA1cuip3+0Q+wNKgk0z+nhKtr4aEdvtmpOlw+wr2pffpLicEF29QQuDf/0G9/lXMJvB5QXDpuK4Ngz7hrSUuNaQ0CG221En3h+hrpGLFcnjNeXzOUM+Q0tPWzkyVxFJS+Ybqq3l8Q9fY/IJBIkcOvqjoTzLGaIM5nPS+pE88xQXJThL4juWco+9f+Ty10749l+akoSOpNSYfIIuY2ycjdrw5kBcxKTdnvrmgMQSKYe/vmE283S6IM0kydkcLTyDFdjBE788JxQFealJz0qO9w0qSbGHHqMKfNuTzXLSZkc6zaDtSUNHAHbJ6SilUgVD1ePyDOMknZW4yYzu/SPD5IzTy4hSNSjf4dKcWfWeptc8LL5BkBo5tCSuYfpyyTBd4KN0LP4dmPd3uOpIXznUyQzpHO3Lb2MXK47ZKU26HKmszQEZa9JcYYeRDFtk4HqHjXOiRYmclMTSIiYlw8MRHQdU1xGaDqQgGhpCdUBUNftKkqRijIBuOwSC/c3I0whI4vZI81jTRyVhsyF6cc7+qzXTv/Y9pt+8ID3JEQKU6xFS0h86olk2OhWKlOIs4/jFLbLZM38xwSnN4i99i/b+gE9TRJZwdDmdSMhkDy9HT0VoW4KUVCLHGYd5HIv/dFVSb9uRkzBAlEXo+L9hAuE/+kf/iH/1r/4V//pf/2s+/fRT/uE//Ie8ffuWv/f3/t6v+tJ/6hJCkJ1N6KIpjZ4SDkfkwy2mthincHZUkUa5YtlcjTdBH3HwJf2upuk8wvsR07o7sgprEtGjspg+nWG8IMQZYbNjOHSIP/wh6fGBb/7Np+A9KnjM4LHtgPcCayV0Pal2xIsSoTVRqsg/ecbh1cP4FOw9R5fQ+gQxjIAV343RQBunpMsR4mJUiivnbNQp3bbFbY6Euwfkb/wF1OmS6URw2FrmH5/QpXP8ZDbCOE5neBUjzTDeyJMCFyf4yYL8G0+QSUTselS1Q8SjVEiXGUNjSasHott3RJdLhJJYNMFDkmmKWcz8aUkuLWK3I6PBeAV9i5xPCFUN9RHbW7rHDi0DOgKtJUoERCQoZI9LU5rXD7SdQLjxKLvOlhQlpLInO9xz2HnaOqC8RacRaRhov7yherNBNBUyGPY2oyFD7dbEhy3Bjb4EdXlKVm/4+ipistTY6ztUqjCzE/zgMdsj+d/8n5CffEhvNPMpdMWSuBDjlLJ3+PfvaV7dELmBWdjTkaCeX6LPFmQvTrF3O2wxQcmA7FpYzEjbHXJRUu0snYswnSWkGe7qFi0saloishxfTFGLKe78KXQtsj7ijGNoLZ1TxEOF//ot6Vc/5fb339C0graH7nEsXmNT0a1r5CcfkycOe6go80D90ffoK4dfzHEmIM9Oqbcdx/saWTeIyzN0PgpokIoBje8c5TzGCzVe30SkuwfSiaZqwD99TqwlPsnxs/F4WuQ5jUkwvacQHdHLp7i4oNFTxHEU3ySZQCpB8vSEqy8OJGEkGYavvmav58g4RXtHddchnGW4WqP2G8yuRkmPf3PN2/98Q9o8gvckUcBM5jjr6Y49++gUGxW4OBtdD+1A+eEp3UONTiKiRJLYBrHd4iZzhLVI2xMrD+++RnYNMokwj0eMk+QfnBEVCWF/QEUSd6hJqg1SjImF4au3SCmIo8DQBGw6YXgzqoe1Nei+YvZsQpZ7ZKyIL88oLmfIYaA5OHxryFKPn01xuyOiKMg/OEW+eIZVKebZCxLf0e868kIQiZ5+37LJnyKsQcSSpFSY2w0ugPzkQ+rzDwl1x9B6EBC6gTBYEltTXs44/PgVQUr0rERNSkLX0XeBPLS4Yoq+fstgJGHwMCmZnv7y6H4yY3fyEdNujXvYY4zAe0+IEmLpKSeSSeIQcQxSQJpBABvllJcFKomY5B5p+tHkqiRep4RJSSEbZH3Eb49ILRmyKXZxRiGHEQplA9urI1QVmeiwVUfbOHyW007O8PMFukyYRi2x69mYnMR1FB+c08zOUYlCCEGkAtIYtmqFKmIaWRCKErttaEKG9Xo8SVAB6xWqTFl8PEdjiQ5rhAavIoZ4bOm4csbu7QHZNsjtluJ8ytk3F0glCKsThkODR6LyGDs4ktOC9L/VNAHA3/7bf5vf+Z3f4Z/+03/Kr//6r/Pv/t2/49/+23/Ly5cvf9WX/lNXVMZk3/uIoQ9MFjFnv36JXD8QyYDvBsz7e1hOmV5MmDyb4dMJ7vI5UQS+62k+fTfG/h4PCNOTSUMULCIebyo5neKCpNm0PL5v6XYtzasbXDfQfHmD3j/id0eG3/8x+vY9XWMQkSTUDU5pzGRJ0BIlxi+8zfuG8jsvCVIj9Di5KvoarMGXM8rnS7KPnhGWS9SHT+mmZ3STU+pQIIKF5RJZFnQnTwiHPdG8ZDLT+CfP6AfN49sKmWj8yQopIDdbjAGdxYjdhnZ6Bl++QjJa4byDJA4IAtH2nuXrPxq/zMqE+OGanmw87m4GojKmOCtI5ylJtSNZFPSzE/Yvf40wOIgUaQy+s6hMY3/vh3SbBolFDAY9KdDKo5zBbo9EHzyhGiISNebgCQ4XRjdEVO8hWM5OA0mhUZv7cdNtxt9VbBuaXiKSFPH1V1jnSekZZqfsh5KQFSyKgflpjMwSykWGr2qWWUs41tS/uGL+/ee4ugdjSHKFMh1exYQ0wwcNw0CRB4rLCY91wum3T3n5P38Cx5peZYgQ6BZP4OIC/eELrA3Q9Pg447i1hHfXJLaiiwpK1dG+voXzU7LTUYbC+TlCx5ikwMcJRmWIJCGWjiRTRDdXmMaw//yBEASSgJKB4nsvYPOI/ug5yx88IzQdqkiprhv8YklSJtiqRZ4tKT+5pBsUMtXkT5dEZQoSxGAQb9+RpNBva/zVDf2xx1w8pycZORF2QB32mGyER0UqkP3gExoTj1jiWBAWc/oO3mTfpJ49JRPtWGQISTpJkScn2F+8QlpD8XTJ5XcXcHaGKhP0xYr20OF0SrbKkVrQW0VfW9g90sqceJqSneao7ZqNPENXO9pBE7KMMJ0xfOO79F6C8Mg8o92248yQSCjOMmLb4ntLWzvyXKClwXx1jVmcoi5P8dbx/H96zlAZ9FBD045Arbpn3yhaPUO7gevfv8Gh6PY9vu/pFheYy2dEhwfIU/z5Jfkqo/jWC5SWnP7GE8JmgwoGKUHbFn0yQ24245H6ako+i4mHmlQMuHRKmgpK1dL0ilovkMGhiwT2B5JIkDcPIAJ2W9E1nvLFCuV7Qp6jFjPmcUf6+nOSZYFezWG1ZNemRM/Occ9fjAO4kaLNl4hmpDQaL/H9qAp+kjwSVVt0HjNMFnSTJYc+wvcOKQTJ+pa9WjBfSLRpkcHQ6wn6L/46iQ64IJg9KUkv5uQThd3VzC5zirOCpIyYfnyOOD8j3d0Ripxc9ghreTj9NsP5M+7+/S8Y8imHWlNHczJtCFGCzwoOR83qN1/S9JpMG6JnK6pe4zsD1tLtO0JSoJUkTiUuSJRp6aIJ3a6nJWV4OJLNYgZiDmtDf7slW6V0u4785SmTkxT50QeIvqW+76A3NC5DpzHdumHSPWKagUx26EiQrTKGck5deZwNeJkSZxqX5KTnc5zxf2774p/JAOHf//t/n9evX9P3PT/84Q/5G3/jb/xZXPZPXUoJ6hoekuf4JOH8mzOUDiTHe5pPfoCbLAjPPyadR6jf/D5RvWP6ck778zeo4NAqIBdz3PUtU7ul+PCUrJQ8WRnSD8+wZ09wu4qHB8ndZzv8oSL99odE2weufr5HL2cEN3L5kQo9zYnuroinKSpLyD++hCdPOLzZEh1uOemu0Jcn5OczSnMgXRXY0wuE9UR/4dscbYHvB4ZsBjpj2yYkFyuiZUla76hnT+gbi3vyEm17tO/Z/d7Px+nWNKF5bKFpaMQE/+LZKP+5/Rr5+jXmYYNwfnSESwPTKYfHgdQdEXXNIVphZIzQGu0H4s0dqt6NyGfToBYl6rBFxZKQJsg8wVQD4uwMcXmGPFkSMRCmU4oXK+zuiNlUxIc1eqiR9YFymcDqBLfZ0b26Ru/WZMORCRXWSuRyDpFiIfYE58ljQ+ZqkAK73mJ7T3o6ww0BlY0tG3F3T5xqstOCNJf05YJG5qgigV//DZLzBakcmJxm6EjA3R0ijQlliRy6MfL2ZEp/t8dMZnQyRxQZFsXykyVp7EienDB/MSV/tkDKAFqOQ5MfPyP65APapx9zTFbYuiNYhzl7jr+5I57liLYj395w/PQdQ+1IzueI730bpjmsVjCb0iyfEbRiepYgzk6YpAPx0xPCYHDWgx75EcbC9NmM6OYdX/6/1yjhSLVBTxJCFGHjktQeqG6PRMsJUZmh5S9PnX72GZHrwHp8AHvzyGwhcYMljgK26nj5FxdMvv+c5v5Iqj1HUdK5mPxbT1ES1PNL+OAlJplQDxFWxUTTZOyhpgqU5Bim6ElGdDbFqgh1d0t38gSXFlQmRj85oy9WxJmiGTSsVsiHezg7RWYx/cULxPFIVmpsnJOGnlkyIExPVES4IEfo0nTKYGAwkumz+dj/9paBBC9GiVQ8zzisB0SWEw812lh8lKCeP8E2BrmYIWNNdPcOGQJOxQgBbnvE/NL/EZeaoDWuH4i1w3uQ/HJuwVj6dPxMoj3yo5fYpCS5e4+6uYLdnsWzjFgYZJqy//yeug4YUri5Rm0fRsb96QJCoCxAdA3RvETMpggpsF++Jj3eM9u+wxuDzmL8uyukhJMzTdcLEt8iu4qgNbOzBCk87Q9/gZvPqCuwb69p72pMtkSsVtA2DEHSpEts1ZI1a6QeWfrZTOOKOSQZ3aFnaAzsNrQqJ5xfkk5jRJqgtaL9+HvEdMShp3ts6CqHD5AXAmV74vUViRjQuzVaetz8hH0oyc7myLZC/oXvor/3HXzdEl+9wbSW7naH9IbZfNzYoyyC4Hj/BzdMf+0FajYlfPxNQj2iv52K2ObPCOqXAqjbLUZExGFgImuKpSYuY/p1RbLImL5YjFr2Mh05HNbS92Ae9hTnBcUsYn77GfOkRShB+WJJ+WLGJDPwy7mI5GLG8gdPiRcFu6sGZ8EphSwyOiMZGovp/hudGfj/1+WChCTBJTkhCNRXXxLHAlmk2I+/Rffxt3FRQrSYMtSeXDQUE4mepGAM0XFP8o3naAaiFxeIIiMuY9Jcok1PMVG4t+9x1mMPDd3v/xFkCWkiCENP9+aWnoTdQ0f4zd9ExfEIAjr0+H5AlBm8/BAVLOnQcBwSRBJjUCRpQFgDSYrMIwaRjgyE11+TnU1wWcZjV5BONWa24vhuSz+7YHvb4aUg0wbhPNHmjjLzuJMzQl4g7EAjC7wRyK6G4xG52xDfXdFNz8Z4mzVweorVGUmzhSzjMHlKtXiOq1qS3S1+OiOapYgkxpcl+TxD2Q5vHXo5QUhwcU4QCvnJx3Q9OC/GHqIC/5f/yki+qxz+3Xu6dYOcllRijMHZzZY4AZVqpO05+ysfwWDITwrs4DDZhAhLIRuCjnjca1ycELxnmK44i44ErbBSI5OI/ed3NLuemoL+/oC+fkdcxsSZonixRAdL9MlLglBMn0xIphHh/UjZ09MJ/a4l5AU+ivHxOOykpYfBETd7Fh8vsJ0fUyvzJSHJSSKFK6YkmUaUOc0wwopSX+PnCwrZovqKWBhcPiEIic5iWlVCnCHPVsQnM+rpU8JsgR5aRAgUZodfrFCP9xwqgfz4BT7PGXTJNDXkpaSrHLKukUoghRjbPJ9cQt1CliIijZSe+JMPkUVO98dfoJXARzFYS21ilB8QarR5zsQR91jx5G/9OkmhKVLDI0viSUwfUoaB8QQoTVAvLigWEe3sDNNaRKSII4lIErQbUFmK2+zHWZKTFdlEk6uW7b2ByZzw7DknH03JVU/TBuTL56hZyeQHH6CPO2zdj2yNY0VaSIZmQE0n0NSkpUIHQ1issF5Rl+eYZiBECZVN2L9as3z8iigWZN96wW7IoSyQbY17f0NxMUUu5xTffEZyPkefL1HzCX3vkG6goCZEETJS5CcF0WKC2x756j/ekmeBeJYSNUfCZoMcOqoawrHGNR3+7mHkLyQxWAPGEg41ajElWk5pK0toujFq92ZDux9ojaLzESpWeOeQZyuKPGBWF0RDg2kM6dkM0piw3qAi+f9h77+aLMu2K03sW2prcfRx7aEjM1JdhQvgFroK1eiu7qLRSL7w19JINo1t7AKtBAriirypQrs8fuTWe61+2Fnorkea0QAYgPUST+4WvtWaa84xvkGnPDZvHvBmKd30aOj6XH+kExqsJXr4MHTdPnlMc7+j+P0Htr+/Gg4/WYwMDQroy4bKBXiRoe96lBa4u3tMHICwaF+RZoK0uAFnEb7hw//8HebRKfHpiPz5Ah52ICVqu6LuBOd/sEBrkK9eoulw6x2FP0beXlN7CXZf4KIQM8l4/oczTKDIxpp2X9J8+w653+Id1pTTc9TpEe1mz+o315SrCtU06PmI7ewJHQoxzmlkwOHkBVYbHr5/YP/6hsKGCM8jkC2Ti4Ty44bi2w8QhXT7ivFMIZ4/p+4kTgjKhwoTKlTg0YQ5m/SEVocsHiW0TY80ijSGdt+iu4blF8eU246+7CgOjvurlnQWMPrsjGgacf/DDuf+kVsL/8Eta9neVly+8LHKwKNLpHSIMETmGX06HXK4s4y+tRQF9PsKz1MY1yDpqXc1Yr8HqagfDviphwSCdoMnapSzdK3DBIriw5rr32/pEei2pP14O3Dk22AI0bn+QG986kYgtCTMPQQ9h2gOSqPocJ3FhSkrJqjQIGaTITP70LO26bAZap9y03J2BvnYIJcLHj5WiKbm4aYjLNdo12DGMWdnAuUrfFHjeofZrlAK2vUee7/FGEmhY0xfUVkDWiGdRT48UOZL7PUKE0kO0YRdfkKTL/CykD6Ih1O/b1BK0qNIRoYocDAes+sTdo2P8cCmOeLqBvIR51+MII5RrqdaV5g0gqbDRhH75RMaGXHPFPv719izy2EM89CSfnbBQQ7irQMJXmjonMJtNhhl6XuwD1tklqJOjkhjR1s7rJMcsiXt6w80HbQo9n1E14NsKoRwUDWYwwM2zajTGdWHFXcbg0NRuAjheuyupHp7h+0dXZSCUVBXtE7h6gJjQEeafrWl7jzCyNGpwbLVvP6IjEKKZI4TCj9S9J5POztCRSGHYIy/HCPLPfXdjr4Du92jnj1CPX3E7iBp4xyxXiP2WzonkWdL6DqSR3P0yYLeiyEMUUYgtcTIDqTEUz2+53DGo28c/aFma2aExxPs9++QWTwI8sZzyAdinPYUrQlpbne4qiUMHV5XoCNvoBS2DTYZISVUX7+jsOEACmq6IRGvdQTTCCcNZX6Mno9RocIsEorOI5xHVOuS6sMKbzGh3LV0u5J2eowXQPsjrEvGCXfmmMOmofn9myFEa7slnITEF1O21yXx+RQlLPJsSbBb0d1vyS5yzCzHdZZqckpnFU0D9lAhAw/lSYy2mFCRLQOicYD5/DnFrsVOplgrKK83tE2PJy27+Bgv9pHaQxR7qnhK3UiML2E6prrbsf7unjh01CKCOIWyxDUtsqkIrl/DX/4lzbfvqMfH+I+P8EKFijy2G0d/eknnh6wLn304oWqgb3umacv+pkKsN6hJxqpJkKMRXurT9xKzzAinMePTmEolBKbHsyVeEmDXBXY2o2sce38CrqdLx+z+5h2bJkBt1gR3VyjREeiGYu+IYkl/ckFpQ5ogposH+JfLM/Rvf03iDmgJ7fYAvaDC5/FTYLvDVg3ezz7FFjX7VYM4PcbUJd5hxfb0BXJ1S/nQoNYb/ElIsbfIUUo4j0hSgTrs0atruiDj0z87wl+OKG92yKrEdj1luoDVA8Y2BN0eO5uyi+a06Yztmwfsekum90TnM4rGELwcrIi1n7O5rumyMaEtEP0gIlaeJI0aJkuf6mqN7Xu8L14O760f4l2eIHyPw8ZSrWtQEuEZHm4a6qev8BcZSWZx55ccfv8RygIzjvACR/bqlLs3BSJNKG733P3uDiN6Jo9zJk8mXP/6Hvf3NyX4p1kM/Ob//p79qiXcXiHPTnDapy8b9GxESEWX5pjLE3Y7hyr3CAnF2xXMJnRhgvEc+uIUGw0CE5IUKSROSiZxw+iPPqGeHUMYEGQe9c0a2w2Kcrnf0V2voG7Y7sDudtReSjU7w52e0JaWatPSxHPEdkvEHpkP4Jf40zNkFKBur7FRysTd09Ud4TxBpSFaOZyQiMUcjxIzzenDFBMMM/5xVA4jieMpQgjmX55gYh/Pdzz85j1aOsIXx9A2+F7PPr+gQ9N8XCGPF5jZiCJd0iuD6iqSRNJWHSoM8PJgCCmaHOPqFpOGSGfRnmIcN8jdmloGHFSKbXtUecD6IXqc4D06Rl1dQTW0dMvXNwSuwHzxEj+UEHhUh57d37whu/k9xa6nsR7r9JR2XSAvz9HS0oQJ86SkDVLYHhDO4gWCsXhATXLin77AGUNUregnM2Tb0laW/D/+vzF0lK3CCk27LWlkQHm3ozA5tQuwUcr3f72n6j0aDFiL8wZ4klOaLhtT+DlxqrFO0CNJco+2drTfvxvU548v8MYZVeHwU426fk/kWyZJj9vtUfT4pzM8D8ChkgBbtkNS3W9+j/I1ruvxlmPEk0d0QUx/fIbcbYnrewSC+mYHbUd2lKDHKUFmSE6yAa/7/Ai/3uM8A76PerjFiw3p4ynbQmGFYv+b1/SHgnLTorWkEBmbOqARAcQ+ypO0V7coX+HZCpmllLd76v/0O7A92lao4kB/ckbbMtAJpSOfaoSC0acnuKKmvd/QW4mXhlTPvsS4BhfF9I2jNimyq2mdoV3tcB8+UL29hW++we4OqNhnt4XAg36+pN8d0K5HTUasfv2R8naHR0PkW7yHu0FwGXvET444+/kc8oTF8wyVhLQ6YnSRM11oitk50llGP32Cn4UIDSYwiMmUXkrqh4Jof0/jPO7f7mnKHl3vCUNLWQ7aBen7NPuGqNvTfbxF3t7g4oRgEmHjFLvaQJyg0xDWG+oPd1jlkZ5nNB/vkUrQLM8odh22bnB+iF/v8PKIprL46ytUGuIEUNe4uiM8m7F76PB+9UscAteBCRR6OUHkGf7H1+g0pDm0WKXo/ZSiU7A7cMiP8RY52nXIH8dgKjQ0379H7dY4z9ArgwVMuWO3Axcn+F+8wD5+jtvsGD+bEj5aIrGgoU2meC+e0OwqagI2HxqCaUR4lNFrD+M7Gnzc519yV6d0TU9zv0VVJdv3ezbFEOhWOZ84k/TJBM+XJLsb0mWIANqiIfB69pVk3/n0ozGVn1H9cEP1cY3ZPdCXLeXVhsP316jTJekixJ8mWC9AXJzSXd+QnuTDqKqznF9I/BDykxR3OOCJnuK2ZH9f0zuJ6HtuftgRjEK6dUH6dIk0inZb49IRza4mTiX+fo1IYvA02rWgFWaS0UuPet+yuRqsj00jKEyKH2lGpxH1vqP+x2ot/Ie61v/hW4QQPHx9hx6nOBz1D1cE53OM6nDpCHcouQ0usPdrzJtvoTjQ7OrBn2xb9v50sM5UQ9XZW0sfBASqQ2wfqExM8+Fm8JZrQ6A6zNe/xiGQxQ4jGpASGcU0YU7wq5/S1BbrBzx8KPnYjOidxApBO1/S7Qr2erBBiiRGGE00i/DvP5C390w/O0b85tcYT1BfPsfEPuHT4yGas/HIjxJGYkc4DZHhYHlT2wfGzyacf5JQRzMMLSZNKOZndE8/4eH4U3oTDIErx3PsZMwmOUI3B27aMWkuEccnBCMfDgdUfaApOvr7NcJZ6jCl+vYd4eEBlsfE0wjtGlwUkd58jwo00dNjxOUFomvol8cIT1NbRb84pth1g8Dv6oFyXWLuPiBsR3F7oJkuKQpJ/c1rRBTA8hiTBoyezyGOkG1JIzyiaoXxJd7uDm8ag2fwjyfsNpZqdUAwREqrpmZ3U1Lue3oUbncAz9BYxfv30I8nGC3o79YEVINKXWi0L1HFAVE3mItTQlEjl3MCH3S5G8AjV4On3JtkNKPZoPSuKpTrOdyXCAHR4Y5uN9hUewteX2PloAWw92vK3/ww0N18ybaLcElOeDmnF5qNmUCe0TAInQ635QCy+dVXhKrj5JOM+CQn+eyS5nZLc7tBeN6QBjnPyS6nuN98jR9rgkRjbj9SvbtF+QI/kuwqBWEIl5dI16EPO/zUR40ywpFH3/TUt1tU7JOKA4Ecchh67eEvMlzdED5e0vVwvw3oi4r1x5JaBgRjj/IgsElCKzyM6Gh3B7wsoAonhM0WnKO82jLLGvyjEZ0Fs8hwSYSbHyHEEFFLdaC63iLW91AWUFawGCJmGc8YP50QrG5w54+ody1mmlG34C0y+sWStnGMns/Jf/GCcGRoNwW2qglfXiId6KbEffxAcXNg8z//Nd2+om0dnqix+5p6tcP44ITD39+TyR1ivyd7dYTXHwYkbldjBcSzeMiXaCvAkoQO0Xd0R+cIz+CcoHMKlhOUkXh9hT9NhqwUGZOd5tx+bBGeIhx54PmI0B9cQa2l2+0pTUb0+RNu7AyH5LBzuDiln0wJJjmNVVSTE9zDEBj15i9W3PZjmmxGqiqwjkJmKHqCrkR2NUqACgyTT5e4fEzjp3jG0nSSeBKg+47Q9PQPG0oV08+O6I2PMuBPUvyLY2R1YHd9wJultPEY7u/I16+x2z1tWWPSAOV75MU1JjJsbIwIDO1kgZ6MsFWNkpZ6V9MR0KQT6jAnPhvhNnsCN7iSus2erqxJqhVdB0iNSTz6rmf06gRfDvovrSXGVyzsLXnQ4p3O2X/Y44uaal1S3u4RzqFcwyztEMJSr7ZEJyOUFvgP7xk/HVPsOtrjM9p9RfH6Hm+c0h2dgR/gf/kJbdFQb2t6IUBrigo65w2ApKMIGYX/rBn4u14hB4SS9FWDKA6UP9ywuSpQ9Mi6JIocXrtndpnCd99gowx/dYX2NWqc45KEtZrRbwvk+/d4p0OKXr2qB9b11QNqu4F9QV81+L4DAW3Z0BQ9jVOI1QOibfDHPlJCskzYuYTtTrC+qukxA/hmtERdXlC/uWX6h8+I/o//LXI+w4YxxlfYzQEvEBjZE3k9tneY/Zbdt7cIKfDHEdFXL8gWBpelkI2xbU/rRUgphop9/YF1sMAcz+m/+WEIg1lcIoWjiUZYL8Bs73k7+pJmtKDb1By2PaWMkGVBrRPKYnBidEmG/+gImUSotibY31H6Qw579PJi8OsfzxBaoXyNmk1oPz4MLXfpo6YTCpEA3eA3rnvcD2+RbYOsG6rjJwSJon/1GVYoun3N/ut3lF5OMEpw8zltrzGzEXt/ihWauLglHPnQ9aANvueIi1sKf0RW3xGPDP4sIzQ1XTqiedijFmOi4zFNr1DjBKt9zCKn+LjDzZfoPKb9uEIajROSfrtDl1tWjGgaMWxg7+5AKxiN8J6cYJ2jEgMyVnkSxmPc8ohoFiICDzmdou7v2W6gG08x/8OfYcod3aHECYE8OxuyFrwQOR7jHc/QkY+zAm85IfrFp/RWcdh1SNeSPjshuZygthvM+RFOaZyUFIUj+9kzdoUhXUQo0RE9vEcJhxKWpujo6sEe58me/a7Hm6So01NoOrQBIyzqZIkIfOLjlPL+gIkDlKeGqOzesb8pGP/xp7impz70bB562m/f0PeWw33Ffq9IP7nARRGHJqD+/Xt2H7Z0P7xH2hYVG7CO5HQMns+hkNT7juz5Emk0m2/uqe82EHjsSQYC3vsrwv0Ktd3gRwoziWlnJ8THCbraoy+OEVFIV3a01w/YzRYENJ3CxSkqjiDPyV+dIbqOw+2Bel2SpoLQDDY8ZwyualHVnl54tGFGvatoNgXTpMI7bMhzwbx4Q6YLopGPWq9R+zX9rsRpDxH6CCVo1gUlEU0HUaaxR0e41QYXR9SFpS0EwjcU13t65WG6imrX4wCznJBczinx2VYaM8sYPcmpeoPY7ejrlmAaUvWaw67HTFKSyxFdmBOdj/koTlGLOaOxQj46p3vYI4xCpwFdL1jJGTvr43vQSJ9DF6CNI3NbXBjCq0/YkdLlI+QkQylLvIggDukaCJ+e4KTEjmcoAX7qD/CtdELXWJpff4tTw6nc2JpqcsKivyFb+NiuR4Qa8dWXMJ6gEw+Th7QNOBPg11u0bSD0EMZAkJDkHiY1FL2PlI7ywwadRmgD4z/9CsoDkXHoKCBVJflZOlhu1zX5p0tMXzH/fI4IA7pDhZxOQAia1RC57ISmeHs/jB7rDpFECGuJ5in26BQThWxtSvPuDvH73+A8jyoc416/pWyGjJni4w6Bw/MGJLGzPZubig5JcpQSZv+IrYX/EJdXrskngvDZKeEooHl/Q688yq/fIz68p35/h373hn5/oPl4hx3leMUKYwuCx0cQxfjV5keB4B4vD+j3LXa/h48f2P75bwhUQ+BD3txTW43Viri6RwQKYzvQikhWmPUKty+wTrLtUmw4cOiTsCOdGPT5Mb0OaA8V1UNF9uUTutEUeotYLuD8HOcEWvZYIVmtBeHNa+R0AJUUqwqdx+iHe6ww7A6C8naPTnzE+Sl6MqZ9f0M21oQxVFWPigKCiyX+fIS3yAnPxrjlAnl+TGVyhB60DWWtULst/WQOKKqTx7jJjORP/wB1foyxNenY0GgfdfMRM83wfvYFgWwoNg0//E2BOzqiVT593ePFGnt2Rj5VeAq0kZSNgjSlv9/Q9JLkk1NM6BPPY8Yzib6/obI+++sdJlSYkwUiS7Blzb4NMOOY9vEzorGHaHtyr2QyG1q64ekYZSRYh7AtnF+QTT3M6+/ob9cEx2P0bEz2ZEZ+HJKmgu5Qcygc4ZNTnFKYxEOcLin8Efffb1mbBRaJ+PwVxc2BfrPHej7hKESdn5AE3dA1aRQ9CovCWsv0SJMvPNS3v0NcnKF8w6FSRF88oiJAzOaoi2P02XKwdCYeTnuMLzPE0QIzH7P95hYbhejQED49HkSOdPgXC+7+83u0p+D8jE744Ps0kyOSx3P6d1c4qVBacHi3wXYdadRRX63oopTyek8QWFo/wcxzTDxQ6BzQj+ckqUSEPlxcoCc5UgucFxCdzbiLzumSDBOpIRthtyO2ewJbYVIPm2XINEJnAbiO1egRcXlPe2iJHy3QoxhT76ijnHQRUBctbdExKT9g7+5Q6wc66YGD8vU9vquQSmC2K6LAsal8qs9+Ss4WEYSI81OcVEyejDCPTujfXqGx+LlPHaS0+5qSGIxmnPeYUKM9weZqT//+Ci8SeNMRXZYj6xIhHDaIcQ5GfoN6/Agzy5DHC7SvCDJNGGm8AGRxYLsDk/uI3ZbD/BFis2H/ds3d1iC7mvD5xQAnevECk0ds9wJ/lqKKHU1hEXHK+ocHnNAEswQzzRAC9t9fI/oOiaNxHl5T0KNpDz2b8IRDJQZc+WbH6sMBnKDFEDw+Rp0scV5I7HeEoSBIPcpasu8DWp0M+S3WUmVzluUbvMij8sfo+WRILPUM4aOjIfgr9WEypqwltVUUwZSyBhUa7HZHf7vGG0cUpaK63SONwDzcUDz9nJ0c0dYdomnQFyd0oznj/+5n6DxCjzJ6P+D6fYfQ4OqG4q7k6FTjTWJUP1j3utWW6GSMko5tE+C5Gq+vSCYBIokgDhBxgGkHqJzqK3YPHba1MBkjwhi0R1uDOpnhRT77b69pTE6xKvFVC21PMvForlYoA02YsVu1qEASLXPaDvKzjFaGvP+2ZLtzmEnMdtXStpZidSBINDhQWqCMZnNvEa5Dx/+IoUP/EJfpakRdY2RHPPHYXReM6ivEJB/wn4c9tqwpr7ZszJzqeovfFejNivL9CpuOGOUOd3mJH2vsu4/o+QhfdiAEKouwdyu81OB2O+rxEart8ESHrVvCZUb46QX16WPU80f0Dxs2qw7lCdp2YL33b96zCZZYHSCzmOynz7B1w/gipU/GeEc5d0zpopjS+hR3e/pNga0dsq3IPj1H25rOT5ifh9wHx8RjM1jYdIC8PKcLM2TosVt19KsVWjpsByqPaXpJdjkimiXU7+/ReczJ53PU8Qy8gHY0x07npC+P8Ech6tOn7I+eQ5bi6g41G2OenINSeG3J22qO8AxNNsfMMnorKO4L1HRCI3xM6qGUQ+YZepSg+gHveTh9Rv/4CW2U46IQ1RSoSMPrt8iqJJn56FmOGadkU4M8OcJLDMXv3lB1isnCw4xiwv0dzb4mnEXMXkzoFyekH3+PUo7t5BFoDVnOfA7t6SWdDpG+wXiScBahmopgHpMUN1SLC8RshgtDAtPTbw7sHnoeblpaDHfM6IWmevQJtmwozYiul/TbEqkVQgl2e0eHptA5za5GXlyQf3JEWVjWNw3BxWJgtc/GdMkI9/w5wg9YbxVKQ7lt8FLD2Zczgk8f0z7scWkGbYdKQqafnw6ky0OD//IRfjoo3dVsgp7nFPclMgzQWFRb0lw8RSpJWQtkcRgCq5wkfn6K3x4w+wdU5KEPG/Qko6s75OkJLoypv3tL/nxJdp4SLFLsaIwFrB9SFI7mbkfQlWRjTRQ5onlCMPKZPBlTlBIrNH06wkQ+ZjHBOkG7rfGzkOTLZ/iuxpumhLOE3V7Tvr9mNrGMWIPn4dZ7sBYpenS5w4814rDHO5mwq30Kf4K/uR0Elo8vac6fEM0jZr96ht8PrhNnLZ6R9HVDvT7guQZ9fQVliXYN0ShA7TaEecjo81P2haKpQYpBhGmV4TJ7wKQeejGh2beUkxOQiv7qDm+SERxPeegyQobkU5dmiL5HBYp4HABioPuFEds+ou0EhBHGV4hw0OQwHSOMIUg12Uk6AJ3qhv5uzW7dYiYpapTQCzUQBNOAZragsxpmU5p1Rby5pmtarOcjtRg0Ap1itHlN9mRGHPTUdsBl90j2Fy+H69PssV5APAtASh6KkDjsqT7cIwIfgSXJBV3rBrKpvcN7foZWDuNLRFVQnT5BTEZ0Qcw+mtG9vSXwLXqaD4AfL6aq4KBz5HSC0BrhaUSa0XcCe3SM6wXOeGzf7Rjv3gzBT0kKowxfWZrJEUGqKXcN6VGAfzpDGkWZHuOSFN2WqGJH++4KZTR+JNBKUFxtqKMRwfmMTWGgt9DX9B1Uhw6sxcsjtIZk6jH1D8gP76AoWT5JkAI6MRTp8fEIF4UIIdmvOqxQfPhf3hJmBtFbun01uDGqHmUkTdlxuK/R8h9pauE/1GX2D0PSnGvRoqd9fwv7A7KpMIcNvmwIRz764Rr19BHRszPWZ5/D96+pDg41TtH09H7M9rrCCxTefIRoClRVgh9hb+9J+wfkZoWra4JJAPf3qO+/R45z1Pk5Ionoblbw2efsVxXusy/YXxfIrqG/uqV8c08/mtJgcKMBhWuCIYM7GKVwcY51ChUY5N0depKhljN4+RyVJwN+V3iUmwo3WyDWDwglyH72HJtmdC3Y3/0edX5CtPqATEJcnjH6/Ixy13Pxf/6S6NGc7DRFPn1C4DmMsNjjI1o/QY8TTv7lc7w0QD95xNVvHmh1jDw7wnz1Cm8xoT+UdCpA+D5CCnCQn+f4JxOi8oFDNKe7fEyrI1zTsrru8GMDr15iLo6o55eU254s6mC6gLsHmkPNOj7Fy0J05JMsUrrzx6SPZ9QPJVpL7v0TgkiD0VA3eFlEV7d4F0eo9R3B02PUZIQMfOSjMyZJgycdze2WOsiRP/0CFwSMf/GYbt8SmpY0VYSp4uKLMTqPUXk+wG7SDHt9B0JhpWG3drwr51S1Yh9MSZ4vkV99Rni5oOwMTSexXgBA7wRYi3WCcH1F9PSE+v6AOZnhJcEw5/zlT2mF5uGqREUBWvZc/XaL8RWjo4DjXz0erILzMc3Xrxl9cU42N1gnaese6Xus/uo9NA1e6iODIT1NLqYE21t8GlSWYNOETRPRHyoO2RH11QN1r+jefUQs5oRPz3HjCX2YIISkP7ukjXK62w1mFCGLAu+nn+N3JSr2cb5PkAboLKbe1Xg+jE4i/EfH2M2eo08nlPclaa6RFxd0cU4/mQ1AnMRj8ijFf3xC5QzKGDarjklY0O1bTBqAk4j5lNoLUV+9QkmBqTbDjF029K3FpyWYJqimot2WtIeG7HKK0RBOUvrrFdEiRRwfIz1Nt6sHpf231+T9PSbQ2DynzSZ4tsafxUzOIujtwLHPEw7BeBDfxQnpsyVSCqqjSwqREGaG+v0tZjHmsGkhSgjCgYUQPllipzP2v/o3RH6PiCKEc+QnEToOMV1Ffb9DZxF7f4IzBjMf86AmKN9gPMGujWh2FX3v2L7fsy0N4ycTUnmgtCGHm4qKhP7kjH5X0AnFyVdzJFAlC0TgkX12Tp/kSF/TOj149KdjRDQAnFY3FqUUmdrTW4HxJZvv7zn6ZER2FA38Bi8gvxjhGaBskE1FkiqCNGA8ckTLjOB0hkgSzNECf5rQ7RqckgjPRylBtIyxHVQy4UEviY5GOAdUDaNXgy1POEfTCqgbZFUShw65mNIlGWoywn98Qrc9UE7OSCiQN9eE4wChBjtgW1vMJMNPDOlRQvT0BBEEuM7S7hre/r4h+ZOf4KwjWI7RSmKbnu7DHcW+JzqfwHTG7NM5PDwggcmR4fSLMW3R4Y99Ou1jo4je+PiRZi0n1NuWtmhIRh6TswDpOsZTgbWQzAMcDj8y//hTC/+hLWU7VOSjxwnsdphpQh2NiaYBcjrCVx1J1BEGgsO65dtVRq0jzOaG0iq6KKP/7nvuqpju0NB/uAIt4G4DDw/U6QS13eK1B/pkRPlxTdjsqN/dIte3g7UkWeAtRuwbD3+eUo2OMY9PSc5HOClxVcsqP8MbBWyua7x5RrMp6IoWnSd4gePFf3eJLWrMOIIffkDNJ+ijCTUBXiTxfEu/2SGl5HB9oLzaUMQzlFGYyGe/7eibHi822KYnHAcwndF1kva71/BXf4OdL8kuJ8N8qyhxncPGOd4oJDQdMo4IvJ72+o72h/dUm5qdTdj/9gPh5QJbNbi+H/7/DwekdPgff6AWIS5NePsfB0VvvTjDWqj3LdVDCVGEGsWILKGvW0QS4mlHOzvGz1LGx/5wv9IYP9YwmRIej6mjMcJodhuB2x0GG9BtgdhvSaYh/XhGv9pxfKYhCtHPLsH2mGmOMT2EHuWuxc6XtF5MGEC3L/DrIRkvru6YXGbkGajYQx0vMCdz2O2IMgWnR9xEl1hjiKcBxDGTXzwl+/SCycsFWlr2akQwiemLhjD3kH1HFDnseIZ78YJOBlTxgt7zUKHBBIausRTrDhH5Q3t2u8WLhnz2aOShFRClcH2NZ0v6j3fsv70i+FHAx+oekwQk5xN05KFevQTr8KcxoW+Jv3yKcj3RxKeTHrfhBYUI2d0UlL1P/EdfDLyDJxesk3NUNMS+epkHXUP37pp964Ov6YsadbzETDOCSJCfxINGpGuo9w3pixOC1JAfhUS5IZ759L3jQ5GjRjF6mtM6zeaqgMWUxs8x779DHS3w7t6hI40raqpO0UmPTgycAroe5Ws0LbrYsps9QtkaaRTMF/jnC/raMk5qgnqDoKMNEszJlG5fw3hEP51jqwrtDa1xe//A1X/4SPF2ReAKcI5uV6JCg6tb6iAjP8mRsxkHM0JNx4SzmOzTU+pdhRdq6rKnjzOYTMkWPvqwxh5q9MUF9z//N5DnA8EvnzF/kdNZgf/0GG8UouIAE0jisU+/L+n3FTqLKLcNJhwKMu+wZvrL55T/7q9wQcjoOEDPx+jI45sfFCqNUL6HFj12PCY4n1PKEBBD8NIsJvrJC0RdQlWjAo368I7DD3eMLzOUpxB5CsZjn56wuarZ//oN5ceH4VR7+WKI9W17utmSOIH8PMOfJoxezhkt/WEUNEkRtsPGCaPzmKbuBvLp+SX9ekc/nnHYtDTrAyLLSM9znHXEY59gGrF/fc/FLxaEsWIUFui+pByfYo5mqCShffwcu1iSnWZMfnaBC33U1UfWakq5a/ETQ+elyDgif7agnp8TzGK8l4+p1iV2NCKbGVCKdGrYPLSY2QjPh3azI84U++sDJAnhLMUbRexf3xHNEzzjcNstd99skNMxtrXoOMQf+WQLn83VgepqTZBrjFZEiSJ5doT2JNWhRyJYfjal+8dOIPyHtvxn5+SfnSJtR/ebr5FpSpXMkIArS1hv6BpQXUP0n/8cXRc4IWl3BSiDXEwpf/N6sDZJQeOl1CZF9SUiCpFhRECF11dUyQgXRMj3b7BNRxfluK5n/3GHm4xxdyu6XnJ4qPnhO8f5L5aEkQDXY61CSokU8HBdIX/4nvKhRi/G5AnIUY6pd6hgmMmXDwW53LP+869RgY9Ybci7e6SvCCcRxe2Bm0OCaFts7xi/mNOH6RAHmgyEvnASUWdTxH5Pd3VLeQCZJXQfb9l884FmVxHlmtNfPeHw7Q3RUUrbOtpsCNLplEc0CekfBhW4SiLsN98RvjxHMPj+vdP5gDuNUjJT4LqO8QjKdYN38xZ2O1zdYTxNcDbDeh7bysc1Ff1kSroIsK1l9ihmX3u0RcPu44H4Dz6lXJUcNj2t9lHzHJmEbL0l3abEa/eYZ5dUwQh3e4tYLhGTMfLiHJNFZLqg0wm2bNkXekBO7wpC35H/yWfoUYpeTAiWKYFniVJD+Mkl5tULOqsQ1mJNSDr1uPjJlHFzhXPgLSfI0Gf8eDhJNQ8H+tWaZl1w9pMJjCd0n7xCe5Lkp8/p44x46iN9DxX7TE4DUBohHU3t2Kx6Ir8nPUkAEFIOGoL1Cv9kjMliPvzH93Q/vMc/X6LKLWKUU6wbnJR4qQ9S44SgOz5n/duPmKfnlDd7zPvXrLJLNjtBZ0LKTYtYPwzxxLd73PklQgrU6Qmq2DLavsUZj/SPv4DxmP27LULAxmZEIw/Ph8kXp1z8i3MCV6LHMdFRRng2JTUlou/xA4nxJB84Znw+pjc+BxvjyY7ubktZ9Hi0HF14xMc5PH5M9tWjARr1saQThr6zzMMdvgf+8YSgXPPh//sOd3vL5UufPh/RT2aUq4IPf/6Oxnko22OLkv2v3xKdT2j2NfJoSfvuGpEnqMUMGYYQ+GhaItXghERGAd4swZqAujeMPjvFf3KCno2RdU0XpvhZiJ7ksH4gyQ36p19g45xs7lGW0Ow7pHDYKGbk1kOATa/wMx+3WHL6akw4jYnGAwhqchaSRkOxJrY7Hh4sUSiYvJzCZEa4zChudhz9wTlJrki/eESkm0EH4PUI9eOzlc1Yvhrj13t2lUK7nv13d1jt4S8n2KajvNriywYVaEykCb2WcnpCNT9nLUaILMXTjm57wE2mVFcbtt+tKG8PrLYa7SnibgebLdE8QYcG11nqarAl3ryr8NKAbrSg9lOEFrgfXtO9vkI3B5TokcoRP13S7SsmzyYY0XN4syIYh/T5mNBVOKXZZSdk198Q7a95eF9ijqeE44B47GOMonQ+Nx97aqfxPEGH4uGmw5smaG1RgSZ+uqA9u+Th+zWTy5Td9VDEeVpw+sQMuTPjEd7qDrFZ4xcrphcx7aZAOgtZjh9pwmXOzW/uMNpRdRov94hiRbYIsW1PehzTtxZRHRg/nRDGkr5p+PBtSTwPsdYR5ebvbV/8J1kMlE8/o7ldw/4wJP69XWF7h7p+jxACbQTB0Qh7dAyLOckiYrIw+M2ecHdF9807pJIEMYjFHHHYsy0MYR7QTRe4yRjhGxqT4KKMQo9Qb7+HKMTWDVWn2dQ+YbOn21fUMqLZtfz8ZyDbgUUgnMMPJM3dhvhsxPamoVYRbdUR5MPMri4d/fwI8/gCcdgjqpJ+tqAuesp1SflQkS4ivHJH08FdmXD8B+ckz45oyg5pDM2uYvR0xjiuSGWBv73Do2N6ntDdrulWa6SnKSuB/Y9/jdSScB4xO/XRV29xZYW6v+d6GyLrgvm//Tki8qnv9zhnafMZrqzwnl0yenHE8Sc5appjzo95+ipAWkv//hpZHCjf3Q+piPWB/V9+S3uoEdqA9qnTKZPPj/FsQ5gbzCxn1N7hJlPCxKAChX95jBCC5c+P2E6fEM4SbJjQ9uB8g/zhe/qre7bXJRQVsuuY/Mkr2qsV6fmYzkpUPGxgvdTUDyUuH2FcQ3i+YPnVkvC//2/ITzNs03H0375CJwFd5xBhgLWO8WVOOA3xphmeL+hqS1tbdh/3RCMPMcqJgkE62Fugs8iTIzoT4nUFTTImPB3jNlsmZxHN+zucdfR+RDSO6Bs3sBdWD/TNcIpQeYw5P6Zb7Vmll5S9R7etcELgn0wxRuCkYPV2z+rtAXd9Q//9a2afzNh+fUV9t0OUe6RvcHFEOzlmfpFg/ZD9tqM+9LiixOsrun4Y9Vgkar8lvJihHh6IH815/FlMe3WP8AyJ33H2IqE/1JSvbxl/cU40DUleXRI0G/KpJnYFSdShjGB6mSC0Aulwi2PazQG0h8SSnGTo8yPkYYsZxWSRxb84HmKea4fwDaFpUbMJVvtIrdCJT9jvUVoRRw79+JxehwgpsMowuszxJxFhaqjiGdtv7qnf3Q7dDyzuUOO/ekowjzF5jA48gpE/hEVZwfj5gvgkxSUp4emY/CxFnZ/w8HpLse1oNgeieUw8CRA3V3iRxst8dN/S9gKxf6AtG9rVFh35NLuGqvfQRqLHGUJKvFmGlI6qtIzOUkxX4/IEJTrSWcjuuzuUEXRlMxBQRxG2qvEvjhDjERtvxtNfThk/SmmTCQhJdDbCDzT+yYTjlznF23v27x6G52iScfi4JUoE44XBKDeMXmw3dExnGU4q3GjEnX9CvSqonKZ6OBAuEoSA6qFBxRGiLiDNEXd36NsrnJCYLEQYjVGCrmgxPkQnU6KTMe31Crt+wOYT0kzRVT0qS9i/XRE+O8WYIZBNeZq6lQT+0BFDqoEaGStkaEieHA15Ffd7TqcHMIbs2YzrbwvyqcbLPPInw8ilryz7+5Z6XeDyEW1laYuWw0NN4WX0dUfq1VA09JMZlZUkoiAwPTrx2d6VhGcTZi+ndIeG0fMZ7fpAVQtGLxYEqT/QGR0gBMXa4rqeyYs5TaeoarB1T1v0GE9iHUgp/t72xX+SxYDIM7q7LfL2iuabN8jrj8ibG5raIm+u6FqHDg1x0OOWC2wPwSjAVi1Zt6HZFuhRhNqs8ZOALsrZvPwlQjjqQ8vHe58uTtGzYYZWiGhArh7PCZstbjrFVx2+7GnrDusEIh5OQjr16YMIz7OkYYuUAu0pusbh4oTRRQZSYqdT9puO4GRK3zv6OCNJIMg9gmVK8eYez1i8p2doZXlYQZkuUUeD8O3w+4+IcYbLxuhuEFMmFxPM/RVMxsQ/fUbz/p7Ub3EMFbW7uR0uYNMjj5eIszO4v8MbBTQ6wR/FcHqGWx5DFNE0GovEnZ/THWpEHHL2R2fMX4zxI83JEw//4SNxpkAK2qLDO6xwcYwNomHjiSPwA5zUhJ9c0gmD+eQRJo9wvUMezTn6aokKDDrQjF9MGX16TnqaY3yJ+vQZEoeTmtFFzv6hou8EXqzJZpro00e4vqe7uSM6naC15OJfPmF8ntLtiiG9sjkQpoOFaf6zM8x8hDAaPc2xRUNyOaM6fTLcb1+w/PIIE3mop4/RvmB8EmId0HUUKuf2hwNd2TJ+dUzfO4JRQF+0WKEoC8n08QiVxujQ0K73JCNDebCc/HzB7rZkcuQjbcfkaLCnmTzBPD2HPMMzwwfH1jX9aks0C2l3Fcrz0Fowezam+fYtdr3DDxX2YcNm5QhSDx0YWp3iTyLiGGqT0Nxs6ZKUw95hDmv8aUZ0MmJ3tQfbYZQYTpDHM+gtkSwQWUpb9USBpfjwwPavX1N9/RbvfMkPbzT7NmL8bIrOY8Y5pBODn3o0jcC1jlZ4WBTyaIEtqsEuO8npVxv663u2IkNoQWkNQvRcfJYOsc4vL3GjMXJ1R91KODnCZAG+axBHS4IAkrFBeQbpa+gswtOkqaD/7e9wdYdTCrc/ILcbZKCJP7nABBrXNByCGWhNX7eMzlLiRzM23gSkZPFygt6s6FpH3zmKt2v81CCigGZ2Qlu2lKUDBd4iJw4Fu99f0fWS9IvHBNOEaBEhJIMnXgj8aUL9/UfiRLL4o6dkz+d48ynhOCRKBOX7e0TXQxiwue+Y/w9f0e7rQYB7dkx9uyM63DK6yClbjZ96HD2Jsb3DG8UcPUtIY0F3t0V5EhX69F5AVzRUywvGE1BJgBCW3UFw/NMlvRewlmOKVUXx7QeKgyA5G5Fejpm8nJHkmuXjaOCThB626+mjFKEEbdkj4xBtG3a3FanXorOAw7cfEXe3mNBj8kcv6JoOV1fIKCDQPeE8hCTFm+dU9zvCwFLvOyaXOYaG+PES9elTxp+d4C1yxp+dkExDiGI6L8YLFLazeIsc53k8/tNL7t+U7K737N89kOWG5qHAScXDmy37VYNVHpO5YvHFEcdfzUlPMkQUUX/3luDlJa6sEU2LnwZILOW2oWvB+JrdXpBMfUygCcc+WEu/r3D3t4hDwfznl4jA4EUexUPN4klMNvfoe6ir/u9tX/wnWQxE51PkzUe2b3dUHx8Iuj2qLZGTHKIQ42vaNx9wUqKSkEW8R/saV9Uo5YYZT5riNjvy9oa39pj0fIyMAorrPcfPQlyaI+IhNTAKelK/oRktqSvH+q5Fbjdo1+KlIWKU0QUxvu5wUsHJKfnjGYv4AKtbkkxy9+aA2j2gfI1d7+DJU7xJiphNePhhTfnip3iRhxqPiY9zXFmRfXKKyHOEp6iLnmwRcPFY8/4uIBr5FN9dIeTAHTeTEeX7FRs5orIeh3iJevmE8nZL9fu3RLOIIpgwe5zQVo666Mn/9Kc037wjtVs2NuHm03/J7euKzVVF8pNn2Ic1pAmEMe3Dge3HA271QDCKSJcBs4WGuqbbV9B2eH2BfvMd6R98QvvqK1qnsNZRioCxX5KcTcifzjHFHn8SUFSScJkzfjLBHycoJXHbA3Z3IJEHlIHdxwKBQ5yeoERPvy6pe4EoD3iRRs3G1OmMfrWljVLSuY95cor2BPfvGoRSpJ+cAHD3vmZ0kSMCf1AoK0m9qZBpxOLnl4zPYvQowfeHWaxfPVCuCqQUFDvLx99u8OYpzkFdWEavjulqi9ccaKuegojtqiE/S3HWURWOshiCtWzVkM0CtC9xQDIyCPHjSUIIvKcXyOmYdlNRWU334Y7b391joqGrQ11z+VVOdjlm/W5L87DDTFNkXcA4J13GAxtg3TCaKUanAX0YE3gONR0PdkmtiBYxojzgkNgwHiyyf/qHHN5vKO4OaGsxgaLad/D+Hc45dBbRrnaEkWCc9aA1YR7gmoZs5hGOQ67fN4yejjmsG6pWET07oSwcru+x6y16mtK/+0g3XfDxbUdTDQwKbTvU7Q2sHpBJSnCUE/k9Nk7xJiP8cYwQ0BUddB22rKn2Ha0KBi3Lzz+n2xfkCx9/HFJtG6yUEAaEl0d0h5p84bHb9Ugp2K6h3RWYhxvU8hg5mQ5dxXCwBka6pq8tTgl0GtPoECs0XdmRX4wYP54SP15ivQAd+/iRYvRszD4/IX88wUxz2rJFaRhfZuxkSvrpGcHJhGf/p89odEgSQXv9QF+U1PsGGfrDtcgTqm2LrRt0EiEOezgciHfXpM+PKXsfPzWU2xoRGJptQfzHX1A8ezWMB5I5Vhqc1hQiZvYkIx77SCVpasFejQnnCbvbGulp+rKlsYpJe4P2DVorIg5k5RXUDR2aNp3R9QLhmQFxnUS4uuaw7fCmGc4P0Y8f4U1TWhmQPZ4Sz0KysUbGAXU2Z/92jRCOcJqwe/2Aa1ra+zVt3ZPaLUpBcDInWaTEixRb1EjfI5ynCE/TrPZDQbmc4k0yxk/H7Dc9rm459AH1b78nuXuNCgyhDwJHZ8IBLoTH6MmE3dbiJT5bl+OyEdJTpEcx7WpLUSkOHzb4oWTx6RSrDF3ds/h0SrRIyV4eUxc9xrUsnqXUIsD2gqbsEEaSTDwePlaEIx/3zwLCv9s1PYvo/YjiZsvBhrj9AT+Sgwp2NsMTNU4bgvIBl2bIly8JvR4mAyJYL0Z0foAfDezshz5DK4t7+QomU7hbYe/usFIjlksmSY0KDD4NdnFMsnpLc7VCGonME97fhwSTmDTo6K2jET46CfCMI/7qOeHIp9rUyK7BNh1qdYsLIkaPxzw8CNbfrylq6KZzglSTHCWY86PB230xI2x2mEiTxy3dh1uOX43wEo0XSrQRA4zkk1O8eQbXNzSvrzh8f40NY5ptQ/Pxng+/26LnE46fJXS9o/NC5GLGQ7DEe3rG6PGEbBnSFMOHGikp/+r3UDf0hwY3nnD99Rq72hDPfIaYN0vg97Rvr3F1TSp2NBdPKRpDk80o/Qnvf7unXDfM44IwVvhnU0TXkZ7PuGtz/GWOkOBHQ3qaUALShCgCZTT7mz3+NKIIpqA0ep6jbm9x2sd/fIYLQuJ5AnFM9mRBte/ohIc4HNjfV4RHGSAQSoLRfPzNZuCyWzdENE9SkosZ6VnK4tRHGI1Xb4i9lnjskw5jfRbPUpp9jT+KyE5TKhnijRJEGOB9fIN9f8Wbd4pi0+KsZVdpeieZ/evPacqGyaOcZlNy+mmGDr0ffcoDzAqGnIfkxRlagas6tGvJHk9ptg1VZbH7A3zzLTpQeKOETgXUtzv6dARRhHNgxjFqNsL3IV0kNJMj9CiinyxQgYc/Dqh6n3wZovMEvZwT/eqniDAYhHWNxTuaED0/gyRl+90tj/74hHjksfn2BjPJmJyEf+ukcIcC2/W4rkMKwbM/mmM8icvzIUmw6JFaYr/9HiEsfdXROU0+99mvWkgSnHO00sNZi4gi/GJFejnFdhalLAjQWYS9v+fh2zv6umf2NBt+puuZfH6BU4b0Zy/x5hnlpqaoJGI2RYUefmbIFiHOBFghUbFPNvaRXQcapsc+/e2K6s0toizp1nvOfjIlXOb04xnGdqjllK5oefVvTjj6s1ckx6MhWc82pMuQaJZw+VmC8hRv/2bL/qZACqhFgB4PnRhvHDP96QVprvF8R/JkQd9BcVsweZwTJAalHA9/8552WyMvTlDjjLZoqH73BhX5fPzNoH6XtqPed0SLlPB0gsxTqEo2pDRFT7trcCpAuQ5X1fjaIRx0veD0p0eoJCTLBDQN0cUcWRXgGUwg0Z4k8luc0lDVlLd7EBL/dI6ej3GthaYaElp9TTc74RBPYTymLVusVGS//AShNfvv76gbwe1ffKDZNSTnIxafL5mdaJRRg7jy4pjRL57QVhbbD6fqZl0SnU8YPx6B59HuW5xzZMuAx//yEqcG3cbs+ZiHlWX1vuLwYUtjPfxED5AvBJqWXnpDlPJ5TnaUoJIAdXmO8jSTJyM81TF+nGOUJYwcyTKi0jF3P+xITzJU7NF3jrZsyX/5gtHPntK0Q/CY8A3RyZTV2wN965CeJkj/WTPwd7uMIR5pHj5UtGGGA7rzR5iLE7I/+YLowzf4j44xfcVNkcPdDe1vvqU9OqYfT4iMRdxco5REBT5SS/j+W/p8jMximm0J1lJXA3fA99zgF96vKb//gF9uiLvtAKyJQm7WhtZp+vcf8Q2DKK62CK3xj2d0TU9VSczzx6AU8WePsZ1Fakk89phOHGaaD0hcWrxQkz2b83BVYzsHSpOaGp0G7H73flBGxwrV1hyCCUIpgsfHmEDiNxviiT9kbCdj6tWB6qFAfvs1StmBKKYNxapmt5dUlQTPw/MFJy8S2qrn6tsCGQXocogRloGGPMfFGUQhV99X0Ftu/6e/RsYx0Szi4e2e/eIxjRjSJKdzTTz1QAja2zWcn7P56zcEowg9zQhHPk04AHCklgNhEEjOp4gwJKjXxLNoSAvsJaNHI26/XhEscvR+hbVwaA22teQ/f0ZyMSFYjig3Dd//xRZhO1wQ4KceQgwUODeeUB86bG+HOX5n6RrL+Ngnezon/uoZzZsrlnrF+Dgg+/mLwRkBBLHCtpZq1+A1B7oajj6fodd3tE7R3z5Q7hp0MLANoi+esjkohOfR7Rt0HnP79RppFM43BCNvaCkX7TCeKh3R0yN8H8LIUZU9wfmMzgkOdxXlpqbe1kgJoqmxTlDfPCAXM+LjMbKrMZFHfjEiVhVdx2DBWuRMX81pKgeez65SJD95TnAxY/zqGKEE/iQaTvC9w0wz0qOYYt8hBehihwoUzbYiPJuy/OkJnRUICToJqO/2iKoi7dY8vXSE04B631GePae4L2huHugedhw+HhBGsf/2Gs8XKA1CG4Tr2eXnQ4hT71CfvCB4ckQd5APYiA4rDUopkIbaS8A56n1DUw9BYiLwCC7m9OmYXhj2bx7A90BpkrE3dASPFojxCG8c0Xct+ZdnyDDAm6XI3QbXd0TnU/x5ivIUXh6gJEQjDzNOuf33P6AAPRnhnc1Quwdk19H2ApP4BJHCdo7u4x3GVyyfxdzdC7LTDBMPp/PuUBPNQ+IvniCD4eS7fn8gXKQsnsb4roLNlquvtwPEaxRTyQjrBNtVi7UCuy/YfX2N1o6Lf3GBiTROKOpViTQGbUCtrpCJTzQOaFrwxgG2dzRWDnoHpZhexriqQUQxt+ElajahuD0QV3dI57BRip6ktGUDR0vE8RHWOjavNwjrUHlIqwPaTjB+sUB/8hxnPEwc0JtoSOlc17S7kvhyRrWtsRZUuUOWFUoOo9vJy8UAs/IGiI8wGqEl6dM5tu1xQlDfbmk2BfWqGEZvVc/5L+Y/OhrA9R31psROp2A73vzffs9u1TLt79GjGBl4RLlh3UZI22JSD5qW0eWI9NUlygjwPNKzIdq61z6v/+IBoSV94yjXDX5boLMQ2/SUm5oOSTCKCBNFU7TsNj1IQVP+85jg73Qd/h9/TvbZOfnCx9Yt7uISPw/wfvYpcjoZ8sr9gQ/udQPjvGegqnn05P0KrQZ6lDaO6e579OoWNclwTYt/eUQX5oMqHliXPtnjwTaSuy2BaEmPYrwspIxmuLs76gbSm+/oHvYcfTXnsOtxbUvodcjAJ5cbouMR3c0DYjykKSojkban2zfIUQ5/9mdoMXzgkIpqXdF3jocf1rz6kwnxxOew6VGjmG5foboWIy0y8DAXp7RlB7M5NozIXp1xeKipdx29F9EeBmhSZyKixyf0reXdKuT1XUynI6TtmJ7HwwUWDL716ZSGIayn3jUEuYcXSJxQuN5SVgIxSjDThEOliAOHl8eo0BAGlrbX1A8FydSDUUZz8QKhQEceTggOtcH2DMXAJARAzwZNRXQ+J3m84PjTMf7lgq5oKE6fQZ5hRI+5OCH/5ScgJeE0IDiZ0lnJNj7i9nqIjO1nS3Y2pu1Bxz4P7wpGJ4NWwcRD2I8nW4QUpMuE6HzKo1/OMYEeSIaLMdl0qPRlU4PtcU4gigLlS4QQ0PdEp1NaO3QbokkwWJFuGlrn0baDmyO8XNIVDTrQWKdIXxzjesvmqsDdrmjrnuQoRc9yVFvjrCDIAsq/+Q7R1IQnY7rOsfvte0wybC4cCnarBtEUuM4SZAbpaQ5//ZritmB8mRFfzhk9XyKzmHs3wTtfEr88Jf3JC0w+ZGRgLTL0cbsDZS3wUo8sH0Aqtm5wQYyXRfhHE4KzGcLzkH0Luz3F9Q7Z1cRTj9FJiE4i+m1BkBnWHwrqbYvJImTXIAKfqLgnvRxxePeAZ0vSszEHYqZJTRBK3PKI3dpSnT8j1iU6NIhiCGdqkOzf3COVo7ovKT8MFFGZJdjRCIskmMR02wORbsifzdG+or7b4npHcDSiv1vTOJ/xv3iF9Azx4yW9k2zeF4SP59hqEAXaxuLToB+f4U8igkRjmw5nLa6ziDzDbda0wh86hBKcE9iyQmw3yKYhyRW71yvahz0yjajuC+ZPR0TPz+gnc0bnKerhHpNF6HdvmZ5EOKlYX1WU7+4IMo/kv/8V+RdneKmPUAplG5yD3X2HKEuUs4i+R+z3qFASdjuk0nT7mqbsUHmOikO6xqHnUzA+k5czZi8mtMYf6IlVjNQStb0n0i0uzcg+P8M8f4TrLNE0QnkaKSXF9X54d5QPxZ7WKaJFihtl9FVN8mhCubygr1q6uqddF3S9HA5cdcX+6w90dYdIY7TraYWhut7Sd5Z62yKV+LEYizBpQLUe2Bq7q5JmWw6dJgtRLIkvZoMzpq9RTTkIWOMEL/dpig7xcDfwDNKYOBGkMx9hfPqH7QAx+rBGTsfoLOb6Tc34LCGeRkTziPW39zx8fUuxaZC+Qo5SmhqaosX2ls1OgjGEuaHYdvRWAnKAG/09rX+SxQBdR+clHHYD9EVNxyjhEJ0FJQk/e4rwDGYU8tS8ob+9o4tH1LNT/M+f4rRBTsboLz7BCUn44Tvs77/BjLPBeuR7uCimiBaopiA+zgmPR3TZFC8LqZdnOEC0DauPNXnSMz0yqDikjUdE8eBocEojPcPlpyFhCF7qs/5ffo3wPExkkFrS7/boPKSpHdHIR6cBQaJpyh4lHWYUo+gZJw3xPCY4n9PXAw/btDsCbaFrSJ/OsI1FffKCatfhhCQ9igBL97AnHZsBM9vbgRYYB2jXEfk9fXEgzjTJxEf7Q2Lf7R3of/XH1OGY/bph9XaPteDaIcXLPxrTLs5oC0v2/IjpkUd2luHSDF0dcL5PI/2BI98KTKhBa5SWQx4AAm+esb8tkTj80dB6Ll0wXNtxDm2LDjSXX+R0DL7etrEUJ88QZ8cIrXBK0XYScbyk3ZSsVpKzRYu4+UjnRdSNhEOJPwqRSiCkoNi0yMDHOUHTa4QUJMuY8asTpNHEv/wM11t0ZMiOIqx1qGJDcb2jrS2Mc2afH+OkQoxHOGfh+ASx2/Hpv5yhfU1TDU4B4WlU5A9dpDRGGMX6t9d4Z4sfu0MaEfms3gx5G8Gzc7xY439yiWsb6m/fY/cV7f2Bzbe31O/vQQqcs5SrEnwf/2iGikOOvphjYo9idMLuwxa537Nf96SPZ2xLzejJlM//9YKuaGnV0Ilx1iEDD28xBgl6mg/dl2aPH2mG5B5HeD4BrRACvEACbvio5inFmxXh2Zzdhx31ukQUe2CImu6jBOkZRDQos+39iiAxFLVEtC3Z8xls1vifXNCHIWK/GwqbP/opQb3DjBJ6FNXNhlolbN7s8DyF9QPefXS0QhM9XrJ+X2Ain4t/9QjXdFTvbmlu16imJLmcMTmP4NE5NB2iLJBG0zmFEA59ssTzBWaSET6/oP64Qk8z/Dwg/z/8N7gkZf4Hl5g8whtFqFDjPT3HG8XMX0zZ/vlvqT8OjiY9yZDB0PURAqYXMb0fsn+9Yv3ba9oW0mVMdDxCKMHs5+do22DKDfKwo6ksxbahOXQkpzkiielPL1k8y8jmGm91jdE9MQfG4oH8xYLtpqe/uuHYfiASBSjJ+jdX6EmKEpbDvme9sXixITrKkMYw+cOXePMxfdPSPBxoW0fjpejjGW62IH5xSnQxRSYRZjFCaImQgm61ITkdsgzcw46TZzGy74YZfj5i+909zkn2r2/xfDk4JVKPtmgxzYH4JIe+//HApnBHR9S9JFpmYBTxxZToZDQU1pcLRp+dIpyl2tT0dY80imASkD2ZDyFDsaaOZ8inlwyhA5aLVymdF+CfzGm/f0d984C3u2d8kTJ6teTu379BbNeDMLmzhLlHkBompxE69dHCEniO7e8+4ucesycZpQ3YfCjoUcxPfKYXCU1paaue7CTF+9F5IMQ/uwn+TpcNQgSWvPyIt7rCmyYo1w/YS+twyyXGl/iLCcnuA/r9W/qqw1kHszndySVyv0W8+ozmky/Y3LTYswvkJCN4dkZ7u0EAhUmRVUVQrKDr6C8ekfoNB5Fi2goxm+GPA5JM8PgRSNfhDgfkYY/JQ2Q2iNWa33yPfnxGdJwNKlajIQg47B1SOOSXn9N2DH/TH36CHyo23wzKf3+SEDw5QW7X1G9vQIgh6+B6jfr+O2Tf4vYFu6+v6McTmqefDNbE371FWEuhEsTRknhkIB8NSWal5HYfUNzt8KoNTodIYYlHmkc/mRBlHuubmk18zn56QZuMsVVHc2gpr7Z4augUXP/mHvHmNcJo7GSKFyls3yO7htV3W979u3ccfTYlfDwnKe+JRwpbVKjIxxmPcBoNRZFvQAh+/R8K6k4hlEK+fI4rS1zXozS4KEKfHYM2RH/6S1QSI7VA+B5NDepojhUSpySJ35Cdj3j8WFAfOsLLBdIYHv1iNvD7VzV9azFZgDg/A+ewnUOFHs46dBqAGDaH6GQyfORtS7UqKR4q/KcXTL48YfPdPeE0Qj1/gp8YtjYeRk/Hc3ppCPIhuvlwtUcZxeLTKd4owbU9UisWf/wMlYZ4T8+pi244/VmLXZxg0ghVl5SVwFXlkPJWWLrWIbKMw9sHlHBY7TH+k0/orEAqSXoU03WOqhZDsVk15KcZOg6YnwcoBcXrG9ZrQVExpHDGIToPSb96QvpsiVAKURRMX0xoipb4KGFfGfqyBYaRiZQC/3hMty3o0Dz+ty9JL8ZoZYlPR7SrAs8DEcfoaUb86hEmCzFnS8xhhbWDQlyVBWG5ot5bxOPHhJ8/J+y2NK2CyYjk1QVFo5G+j7UMXRFP8vDDjuXTBKMhv5xQrQ4Eucfi5RTSFKcNfdURjCKMJ0kupoQXR8hAo+KAdl/z+Jdzzl9EsJzjjWNM5OMfT3C9pd7UjD87/rGYC6jvDvjjoRhILmb0OiB6eU5ymlH8cEMQDidWGQWI2RQpQUp4/KeXeJ5k+/09/jik3dekRzHHP1nSbCsC1dBtdtj3V7j9Dm8Uk000QeaRHicIIdg3Hi/+ZImzDMLlriLwHVffV/StIz6fYWyFKXaMns7QkYffF7S9ZrfpOawdYjxCRz7zr4559KsTdGjwpzG27Slvt+xXNW6+QOUZ1jqa//A3hIsRapKDkMOJ3Vf4swSZJezXHVfmdKAd/vVfIfOE0cWYh+/XSD3M1K//3fcUP9yw/HxO4Y2xUqOuPgwF7CdPUGmEP0mJf/bJ4PiaJAgpQQzAKD1OWPzrL7BCgnP0dUez2rP+5h6cIx57iPWaINFEnz0hOcsxuxVj90CsW4KnJ9Tff6Q+dFTvV6RTj6NPxrT74RssXcvoizOkAKMtWkN9u6W+PdCsd1T7jmpVEmzvSR9NqEzKvvaoDi3nrzKayjJ9kvH0V0ui3MMLFV74zzjiv9OVLGLs7Ypkf8Wu0sTzmPBigUgTrLWQj1CfvyJIFGY+xlU16efnmMWE/mGHfjzEVN69r4h+9inZn/2c6HhA1HrPL+jrFuks1b7H3dxgtwU2y8iTZki6mk/oP/8S6wTZaY6OQtTr75D/zR/TyBBz+5Hx8zky1PjznO//aocMPO5uewSWshZcvWlYXbfI0Kf1ItKXxwgc2kgQ0F3fY4sa4XqEb+gfdjghUWlE20G/K/BOFoRPjkg+e0R/qHEWJucpzg+JZwGHVUk5P0c8fUwQS7zTGQKL9hVPPw+x9w+M9GFg4N9vsW2PMgIHfPPvN2wfeq5v9TC771vCGDrlE5yOsZ0lSx12uUTmGemrS7SROCeQWCb+nmT3kbOnPvlJRr85EM5S1q/XbN7vMFlEfDElmQ1JecEo5LCzHHbDSdUZH1s1KMlQ8fs+4eUScXFO9HgBoY8KDCIMQWsckuWs5/RFQjqPhrGRdoTHOUc/OQL42xbk/q6m7xzKNzg/oD70VOtBGyClwIyzYXYpBu67s0M8rXA9JtA8/r/+DD8NKO/2mNBQi4DZ0xFyNgXnKB4aym3D8cuM/V2FcxDmBh0ZglmC3G3Y3ZbYclBNe4Hi/NME6xzpp6d8+HY/WP3OzqjwB9R2ltArD7sviI5G2Dgn8B227lGeAamwdUc0DogyTX6esXgaU377ERUo1GREPPaQShA+P2N+GXLyOBi6FkfToS2+GBEsMywCVzdEy2xwIEwC+npIzVNJyNEfnkPbEZzOsEGITRJM5GGbnjiR+KpHNhUnpwPT3o7G2N0BVzXElzNMN/zd3ek57uNH+tGMYtPw9i/XyMin9yL2m5ZDdoYAqvcr/D/+GX0Pk0/mGH8YU7l9hQk0Qg4fwvwio98V5M/m+LMR3bYYkMNZiBd7VOsGE/s4LwAhUUbirEXHAf5yBFKQXE5R4wyhJdHTY5SnB1y4AO0PItdgnpE8XiCikCCSWCTeNMEhsG3H6DJDMIhDj79aDi340BCfjkgvJ6SLCKQaoDVvrxHaoI+meK9eEJ6MsVe3yOmQDdK3lsWns0FbdJHAo0u8R6fEuaKre7Z3DRe/OkfECe74ZNDeRBHRLMLmY/zzBS4KMZGH9gUm9vGiIS9AhsP9D8s1V/+f7xAItsEC40l0MiCAZRJTPZS0h5bsNGP6fIpzDKCijyWNk4i7W5wfEZ6O8RNDNA3x8pD9hw0yHLgR1gnq6w2mr8BB9gefwJ/8ydCZkoL4YooXDyM5IYeOlV7OOfuDY7zFiPHCY/N6TfNw4HBTUN0foKqZv5pxeHPL7OUctZzS6wAnJJHuCM+meJlPvW0RVYm/GOGMh04Gwaw4WgCDjre52w2dj0PN+PmY8HhCGY6o7kuu//J6gHYd4Nu/3DM+CVEKRkuPyXGIH0q++NdT/EiTjLy/283wf7f+SRYDwvPoq2b4cEzmRMc58mSJ8jTut1+Dkly961Bnx3g/+XSg5vU1+WcnVJsKPR/9OEcfhEX552fIskRlCdHzC6a/HDzn2rZ002Py53P6xhEHIAOP6acLzGKMt7lBOItOfORyjlKS3g/xlyOcHzL66WOsEzgLXWWJZIsXGe6vO5rK8u7bGn+ecfehJfn5pzx8sxr+PiFguUS6nlA2KM9gr28R8zmLX17y5An0X/4U+fQR/ukc+fgR0ij69x8JpyH+bOiUGOXQ0xHVqiA4m+LyHJTi7KgfZml/8RcIXxMmEh1p2k2J6UpWD1DuO8w0I56FWCGp7g8kooT1mtV/fsfV1xvSJ3NouyGkhOFjaUJDOArQ9YHY7xnPDZc/m6LmI/xFjtfusUISTAaRkbODFUdrhhNJbVltFB8+OHrtkUUtoiwGD3BsEL7H6JNj1DhHL6c46/AiPYwWgOmLKd39ejjxBsNGLpNBCyGVQHuS4qGib4YCQ07H1LuG1e9u2L++hauP//WzJgS2dwgpWb6aMXk+xc980mWILxpEnuCCiLISHH2SA7D5UOBFmmwZ0jtNn08YH4cE45jFpzP2e8fD6y3tuysoDsPGJiTVtiU6n6JDj/vrns0PD5gspLOK/viEXhryoKYXcph1xj7Z4zHhcc7quw1d3SN8jVSCiz88oUcTdAdk4KF8iQk1UoJ/MmP+copOwqGFLyW2s0QvzqHrscD0+ZRGxxSrmvK+ID0f2Awq9DEKhO3wz+cQRFjpoY0gPc8ZP8qZzRzN7IimsiTLaHBvtB3BVy+J5zHGOIJU4y2nYB2EIW0vUUoQLjN6HYDWZH/4KampcGFIfp4N4q5e0NcdrmlJL0eMjwYnQld3ZJdjwssF4589IZiEpD95gjldDPZEKSj2Lfb8nLYeiH4w2NCE7xO9PAcpkZ5m9ovHOCcxSYDOIswsx/7YTm+2JRg9QJcezek3e/Yfd0QvTrFIqo9rZsce3a4cCsvEZ/rlKTr2wTPDvwBKYvqarupQZ0vyT08IxwHNvsKfDqJBhKC3EOYeJlDkywBzOqdtBaMjH//2Lbf3Ei+PmH01RFwbH4p1Rz8ao08WjC8SSHKCSHH82QwrFLNP58gwYPRsSrnvmb5c4LZ7VOzTXd1hvnqFGOV/+w7oQFNvquE+Kk1X94zPEsp0hhbQPXpK8OwcoQfYUDwLyS/HeLmPEI52X+KPh+wS4XvEJzk6j8henlJc77C9IzkfDbHg8LduH4DxWYI0GqkdOvZQvqa62wOw/e0Hjv7gHLfZE53k2DBjPX3CeifIHo3wn50PAvCzBZWKEesVFQHeKBwC2KY5OOjqjvnlwIhIc0kyDZk8HdPVsHu3YZL3qL7GCwT3bwqOnqX0neP8yxH5Scz4OMALFEGi/v+91f3/tP5pFgPS0R0a1ONL0pMEeX+DP09xxtDdrrm7tuy/vaGxGu94ykZkEIcs/uAJbTLl/fcNnF/QdIrr1wPQpdx3uDRFSIG/HONOjxEKtiJHBx7d24/02QR12KOwOGuRR0eYJxdo7VBpDM5itc/4cvCiB5OY1VahfEW4iOmbFsY5TSdoqkHRXtWS489n8LczfobkxChA5UObMDjK8acx8U+eD6l5UjI9DzGTFAAVaPQoofvhPclRPOgBAk23PGPxR09pVUD04gIdDmFDqimwdUOSKWw25vDdDeOnUwCCSGOSANs5tK8Yf3EK+YQocrjf/I7masXNf3rHx795IH8yZTwzOOdASpQRhGOfbBngv3xEPjOowKBiH9V1SC2RT59xc0iwFrQZNlqcI8kVcapY3fRDAqSROD9AvnmDxtLVFhn4YB3KKNKvhpQ+nGNyFuEQQ1/WOuh6rv+fv8Z7dErf/m++Xy/SeKECITg8NNy/PaDSmLbscE3Px//pd4jd7m/vAQy/0lkH+x0nn084+ckS7Wncm3fozQoZBLTCo9QJQfpfsswd49MY7Sm0P2wwzoHtLSY2mMSnrsE6ifI1bdXjnOPdX6/BOsZhRZRKuLsHC/3RMdkyRlyeYx6u8JRFTMfooynL5yO82Oew62nbwdevtCSdGNAafzlC+xo/UMMJVQ2Nlv9CVfsRdkB1vUEFhnZbUt/u8T1He3VPvByeSX8U0NeDOMr2DuF7BKdT9CfPkLPx385L47Fh8YsL5k+yocJ7/575v/0l7bpAZQnO9xH7HabeEZ5NMSczZGBIn8z54n88JpjGqKePyC9yunbAzfovHpEcJQjP0HWO+CQjOR5S5qwT3Pynj0gtSZYxKvB4/G9eEB2PyJ7M8cYJJvWRgcI2HeNXp0xezkEKYBitrK6HtEC0QWqFP40xife3G7cQAhV51Pd7Hv7mAzJNCD5/SvLJGebiFBfFKN/j9W9Ltt/c0O1r/MwnTPQgcJ0neNOM7MUxOvxRkCoFNC20NQiNdzSm3VVI35A8WlCKmEJnFHtHOvMpdj350kcFHn3ZoI2CJ0/Zr4d7EmWGvm4JRiH66SWBL1C+Icx8uq5HeRKp4OaHAiElru9JTjLys5zz/8tP8YyjKnoUPSIK0V99hnCDMj45yRg9mSAEPP0fnw0dyC9PmT7KMNphkwxrBV3V0ltHdpygDcQnE9KTnPLdmvF5zPEXEzha0n24xZnhIGB7N2SPCEGQDddbaoVtexCCZrUjPk4HYbKvMWlAZwX3//F7mk1JkPscXAhSEagGtOL+1jEZOdz2MCDVn14ij+ao8kC979CBHh57f8gGufuL9yijEM6xLyQChm5l6BifBvjTmGzmc/lZ8mMgkaathrGdQyClQOnhefr7XP8kiwH1cIe8+kD74lPyiUGdLpA4sI52fszV2qfPJ7gsx9xdDR/lyEOJ4USw/vqazd4NQTSeh2ta7Pklu+sKM00JHh2h0oR44hEsc6qLp2DMEOsap5jDGhfE1OMjrBPovvmxqhUQBgSRomn5EU7TYxKPMNGUf/Ut5vNP0UnI0aXP6dMAjGFyMWxmo7MfTe1KkT5bkj2ZDur7SYaKAoRnEHr4qN/uIsSnnwztLqVIP7+ke/UlXhpgRyPiiwnC87j97T1CCqIXpxzWHUfPEzztSE9Sjp7FHL0cI+dT5s9H1LcbcBblG7pmGBnYHtRywuIiQPQt/cOOpLjFRIbtVcH8p6dDNsHSoEOf8ScLTBLgf/qU+CTDG0co3yCMor7dwmiE/OzVMF/VAqmGDUliCWPJYdcjlWASFPgfX9N3lvG/+pK2hWZbDi17JfGzACF+FMCp4UWMvng6zP/nS9RsggkH6NF/We2PcaPal3iJYf3ugBBw+/2ecJESTUOip8f/1bMm5FCw2KaHaqDpte+vh+tuFDiHc5A8nuOPw7/9uTDTgyo6GF7Ret8MqGzPMP3DZ/Ta5/B+OPm73oJUuLqmWFec/ckjxguDOBwQkxGIgZMQjAL8R8dMj31GTyaoOMR2Fh0aTGToncJEHsnFGHso8Q3kJzF2syPNJcpTaCOoCst/pXNyjvAoRwUeOvIIxhHxLCL/2VNmn8zxUp/5VycUdwUAtu3JH42HSNhADKRGI4Zrf6jJnh1R3e0Hfv22IM41ZvcA1uL/4kuCl4+x9w9YZ9m+3ZAuE3RgCHxQUYA3TVm8mNA3PWo2JrscIz2FVRqVxtSHntFJhBcNAVDtoSE/zzHh0KKVSuCNY3CD97vd1Rg6+n2FCP1hFAfcf2wwoSZK5f+mXXGO6GyCSf2hFe2G5yeYxehAD8WmcyTPjslentBuS8KTCR/+X7/HH/n0+Zjs+ZIw8wj6A03thgPGJB42nP8drtYkPt405fRfv8CMM2xVowIP6Wsebiq2d83gePrxxJzNAqRn6KoWYwSFiql2La7r6TcF/WrP7MtjRo/HTI4MyAGrmy9CotSgjeT0xdAls02PF/ukpyneYsRuY3FNh5kN9jrz5Jzm6oHFixztK4I8GMZd45BgFJA/npKfJhgDGA9V7+nWB5pDh3OO8maHDAz+JMEbheQnCdn+GrVe0d+vOdxXOOsIZzHbjwcO9xUmGgql+GxMdbvDdpZmtSecxtjeghzeg/mrOd2+RqchWoLrHV3dErmCat1SbUpsEFOaFJyls5LoZIQ6WbL6fkt8lKAWU8AhtKQrW+IXJ/RVR11Y7l4fiEaG1df3nLzMyC7HLD6b40eSF78c/a/s/UeQZVmWnot9+8irhetwD5ERmZGiqrq6qrvReOgG8fAA8rFpRg4wgBmHNINhADNMMMQEDQxgmGAOwwyjx0fSqAzgwwO6G40WpbOyUoQO1/pqcbTam4N9/bp7uEdkRIqqAhLLLKyy/Koj9tlrrX/961967ex5WpfjrLRhCvxx9t8GFf2yTSoDK/LwIhuz3UDVNIRZ7B3Q/c7fpvndOxjLbT2Os90iWtxAPd/COD2m+u07GAsL5MqhUlVUby1AnFBab9N92GOyPcRqVDHfv4+VZzTvtEhba6j77xAPQ+RCG5XlGEXKsLxBUmogaw2CYUI8TqBUxiJnccXSjPRaiY1vtVhcNjFLDpW3lhG2RalisHHP5eY9F7dqk6UKa6LLBBiChSVB660FqvfXQRg4/4f/LVa9jOHauA2X0kJFZ14zM1yH6gd3tNrcworew+yZCIYsEIahR8pOh9RWKkhMVm/alFouaS6oLlW007FM2qt6op3taAZx6d3b2MOe7iR49x1KN5coVQ29edq21s7pnCKDCLNWxbn/Fs1Fm9qCTbq5D1Gke+kHvnbgSmeXlq3rttTrEAQAtJc0lF2MPWi3KVbWMVcXEZUyaXeCzHL9u8zgRAUKHRQ4q5r8lZsO5lsbuFV7DjcqpQgnmQ48LBPT1B0OaVxQbdm07rVQEoR7ueYnwkB/h2WhhmOUVGSb+xglB2uhiVK65ilMfS5SKt1GhXZKzQ2NEmVhPgtaoHZ7gXwUoNKMuOvhPTqgvlJm5U6FRg1KDjTbBu5Cmciq0brdAmDxO6uYi23IMhq3mrT+yjvkfoJdsmi/t4Jh68E0K9+7SRHELNxrUH/vBmYc4ZYFwtDtkKPerP1p5ugMy6Cy0QbAaVUQtomhckSlRHmxSrmthZ2UVCgpGTzp4awtQCG1WqOaLUUhiLeOtLaDZWrZ7VxhGorG/RVkViBWlnBurlBZqqHsMlmc01iykWiUR5S0mBACPbt+bRGn5mgCcJqTpZLutq+HRt1pkXoZRsnGqVjz6w5oMmghNbl16ul7LjOWb1fJtvYpwpiFGy7xKIFGE6dsUr5/ExmnlFcalFoV8jBFGILYz6isaBROFhJhmRotcCzNkq+XMCyTZrXAbtVo/+ZtZJSw8L1bPP8k1IHcYnV+bNEM5kYWqFzpiZCtOjKTNG7Vsdt14kmunxOpMC1B5GnNE2HokbzWb30HShWNQKy3ECiMqotZKhF1JjRuL+jx3wACmncalwLj9vurCEPw3t/5NoZh4NZtzDig8bd+G2EayEKhslwHMBcCR9sxtKBP2abSsHEsiTQsvGenUCpDFBNPEqRhUV2pcfN//IBsqonAxu2bON//NoZQhL0QmRV6H3MdvBP//DcaZaLTKUWSk3sRzY0aZBlO1SbqTFh6bxEhFMIUBIdDrKpDsDckGwdYtsL0PQIvY/y8i8gL8lSx+M4CUdfDqtq6bHxjCbddAanlp82yjX844vZ3m3i9iPZ6BVkq07rVoPXdO3ptKWguuSgEux+PKdUt3V0EWLbBrW/V54Hmr8K+mcFAOmsxETF1OyYb+ogsRUUxw7zB+vtNRLmCIbRYUHujjjJtePacdO02Sxsu5AXp7inpOMBqlLDXFqndbJLHua4TV6rI5VXcpTry+JQwNDCmYzx3hcyPWXunRuLWMcpl7NU2lYUyWZRiNOrIkw5KQnI0IC8MRBRi2eCUDSotm1JVw8bhOGV8HIJhcryXglJEW0cgBOXBkdbPr5bmDs2wLYRhYJiGJveYl2GpxrouK6xsOMhMklgVKi2bqOvpIRqm0CJClqHbt5YaOLdXwTBJexP9GwaUqlqs5Xg7wrAErbdaTD7bp9i4gyEE1r1bVBfLmJUS3ignPR4iTE20Upl2NEopDNehONFdEYZrU767RrzfpbVkkaUKt2LqlkNHbwYiDKg3dc+2ePgA3rqDbDQxXRurZFO/t0Qx9jFdvckJQ1CkBWEvRCmYHEzIk5xgEJEri3LrnJNw/GhMFhcIAfYsW7/xXoNSzaa26FJulwGFWNLlkjNHyWSiSxmmqadDSlBxgnAdhCxAKtY/aIBSpFGBkuBULaptlyTIWbxTIw4K8rSYOyulBLHUwieWIZn+7CmGY2Lb0PtwD8OxIElJYoiGCZGn50vUby5SvreOc3uN6lIFZ+m8rtuo5FRXK1gmWA4UUUp1oYRTdTQqc9Cdv7d4QRfFaVVxmrocUNlY0Bl1szZzepB6sb6HljHXx7BvLKPSjEKCW5q1VCmF5RqYlmDj/QbN+8uYb2uhrTxIwLLon+RQFCx8a5VSSWD5E/L9E7LtQ722bRNZKmOYBk6jjGHbmI6peQvLZfxjD0NIams1nJqLs1ileaeN4ViXngej5EBRYNYrqEiP9XXbFVSlgopiZJSgHJ09C0O3Auvnw8CqlzV8fTAEw8DvRVTas8x4uU5p4dyxV9ebOM0SpaUqqlA4i3UNw+cFpm3q7g8hcJvl2TNsEvd9srigMB2EaWhkyHFQSnHjfgOj3SDyMkbHEbe/XSeJJONOgobTDOrf2gAMonGMMA3CYYKUCuE4eg7JSZ+i3kAIgzSW2K0qt7+3qCWmZyaMWX1eCCp1g0rdpnG7jdWu6/2hkKhWS08svKCwaxiCJDeJT8c02wbtBZichKRRQTzR5ZEizVl6p0XjnWXqtxep3logPNH7S/nmIvb3v02RSfJEB32lZkmXBXO9MIskp4hTilQHRJZjoPyQzoM+4cmYIkqo3GjhLtUJTyZUluv4g5gsA6HAziLSUFJkityPWHhngepShazcQEhF5jZQhaTxrkYBVSExTL0ngoFpgNdLkElG+f46hRQYZZs0KijXTCa9hJvfXcAb5PQPIkan+vl493cX+FXaNzIYEFlCaa3J6rKk1rKRR8eogyMKoZ1E7e4qC+sl4t4UFQSEXR8/EKjRmKzepnW7wUgskHTHFCc97BWdUYo0ReNeYG+s0W4o7JVF7LJF4QXkN27jeQprlp1/56/VqdgZ9eWSbtFLc4xaiaK9iJ/ZZF7E3j4QRQT7Q6QfYJdMslTqzWaUEoeFjkxnG1kRpVBI5MQDx8EwhBYTesGUVMzT7FnofuYkF2+WkLdu440KKq0StiVRSmgJ0Fs3wDBQssBwTJyFBs6NBcKtE2SWYzkC2xEsLBt6tK4tsExIJyFxaiLX1ln7/jrNth7NLIVJMo11q85SG7M60wt4tINVr5DuHCP7Q4zFNuk4oPVX32Nx1WLUy7WKomsRxxCPIrxTn4OtlCiQGDdWUW5ZV+EMg+XvrJB5CWKGcoDeyIok12RAIBrqMkLmZ6RhjmnpDGd4GDA+iUiCXM8XqNgkQY5dMlm+V2fpfptK29UOzbz8SIk00dfaMCiEiSoK3LduQFHQ/O8+IPEz3KoFCI4ejhEoKm2X2nJJb3iZ4v2/uUql7c6DkP6uh1OzMSou9XdWaGzUiMZa1bGx4mLUyuRBQlZpYtddaveWoci1lHW9jNWqaTKgY2OVbdLuCKIYwzKwDYn/7BSZZBglh/W/9T5FlJJ2RzpbZ6b09xKukzAMzfpeW0LYNkWhqK7qrLh2o85ke4Bhmwjbwv/BJ8hccePODE0Rgsa9ZS3itORS32gS+QWi7GIaksp6Sy/VIqdyd426GmMtLSA9H6nUvOSFYVBbdGksu/PjMkxBpWFRXixTabq6tLDQwKm5NDbqOoC5cO+sdg2VF1qdc31Bt8Ap8CcFYSTAskFq52w7BqZl0Fx2cdfaJEFBGurrbZiCctOlulKl9tYizoVAAKB6awGnUaZxb4ksyijZOlNUSq/bhRXr0vuNWXdCnkrcm5q7oNIMYQpEqYTjCgzLIs4s3Kpm4e899HUgWcwUUW8s0dsak0c5ZsWhfxBhKKmFb+p11MoKSWeCxOBkK6QQNuW6xaSfvXCz9b5hJwFL95u03l1i50mqA5S8QKyvU1lrXFkj1eUy2SSktWxTrSha7yxhlF3c1QYL72pSaJbqIBOgenNBcwAAYduUf/M9lt9fJI9zZC5p3W7Qvtsi2OuTjgM9WtgxUYWifHMR07WpLpXx94dYzSreZ3u0v7XO2l9/lzzKaN5d0HLGUmCKnDzJNI/Atqis1XUC5Jgo26F2q01pVs4zLAO7UcJwtKCUkety783vNFn63m3u/M17CNuhdasOwkYJg1LLZXSSsHavqnlKQpCEhR51Xv5vBMJfulXeWtGR4XSAgUT0uhj37+FvnvDW2zONe6EYDiF9vkdeb2Lf20A5DsJ2cOMp5Xtai4A4QU6miM1N5GRKKfPwhzFqc4tWKcJsNzGrJQqrhLW6RHWlRuGFVH/3O8RejuUYGEKgghCyjNvvVchwkKZLUlgow8S+s45jg7p5B9MQFJkk9jPKDf2QFnoUAABWs6p7xpv1eWDidaNL55+nBUE3IE8Krek+q0OeZZ6WbSCFxY239fCaShkKKTRBbOcQFUZYQs5hRKNapXR7BbtVx7Z0/cu1CtIgo7msBUPE97/P8DRBlByqS2Uq6RjDEjiLDWSm9CCTVlNLiOY5hR8hSg7ZcKLr+rZB5me4izWUgpN9rfyXJookkuRhikwLBp0cf6q0xKp09IUxTSotl9HelNLq5c0pTzTHIAtTDNukvFCmmg5nrWA6kx2fRCzfq+N1dbBQbTvkcUE0zWiulqkslLEWW5SXqyzenyEDZwTCd+6hjo7AshDLyzr7XWpr2LPsUm1auFWbhY0yq+9q0ptTMnCrNuE41aSnkolTtubOKplmLH+whLPUxKqVKb19k85nfaRU2I4mQapmA6PZYOXbK7Tvr1Bfq6E8H3OxhbG6hNvUiFF1rU52OkDmhR4JHGUUps7mrLKjh2GZBpYBZkU7V9u9gCpdTPtmZi80sGslhCEIehFqBiVYZZssyjFdSzsMqQmLleoL8Hy5TDyKWPzNW2S338YoudTe3cCql2mulSlOuliLDZyqi/Xt+5SWa0TeLKDzC4RjY9lCc3pmZtgmzbsLtG41aczKJobrUF2t0Xqrhele3oidhfo802z//gc681NQpBLZbOP1Eip1XQZbu1eZf86qOPg9vU4qG22EabDw3hJCQHA4prxyef0pqbDrrkb6Tr1z3s/suWwsWEip6Bwk+tpWNCO+yCTVBQej5JJPQ7KhT9DxiB9uU68UZLmguWSjJITTnBv3ypDlYNsayXAsSjWLXJrc+U6dqn+CuLkBec7Kb93UA36kxfr9KgowTUXn4eDSsZ+1ShanPcgl1aZG7AxLD/DSecZVUpy73EA4DuW1Jv7hBC+yaN9fwi7ZVN9a1sRABVl4HnzIJNNLrdWiMGwMU3D6oKeJ1k0XJRXNb20QnU6IjkeaKBnO2n0di3LTJZuETI5D3fpYsvS9sCzcm0ssf38Dq+aw9O4ipRU9NdSplag1daBu2rod1WmVZ2Q/TT6tbizQ+vYGxkz5tVQxaG9UaG5UKVUtpAS37uANEkoz3kWRSdprLjffr7Fyu8TCjdKVa/SrsK81GPjn//yf83u/93tUKhVardbX+VNvZvUGxkIL1WxBkaMsPfTFblSo1WebuCrw+gmjzQHl+7cIrBbGb30fDEFy0GVjVbG8YiJkDru7EEeINKEIY6JhTDaNMCmwl2sYeYZhmyx+S/eletSwbGMGOZvUbzURlolbMTFch4+8+5RbDifFMjc2TMp3b1CKh0iEjpr7E7JEYlqCxY0yK+sWTmlGpHNt7IWGfhBn6dvFhwogi3ISLyWLCxDGHAo/a5cyDIGU0LhRJU8lqlA64CjbgED5AabMcN5/m0rDonOUYzUquEt1LdZkSeySwfhgijAV8TRl/W+9i9hY19GwaVKxc0oyRC0vY9TKmLfXsZZa5IMJ+djHrJURAqy1ZchzVCGRQszrj2eZqT8pGA8K8ijlzrsOt952iCNFP9Cs4fjWfYQQOCWDxEux3MuZlsx0yaj3oKs38KWqDoZyDf2t3bJZuKnlZNsblTnPoLFWulQLFYZBZaF8TvA6c5KGAQcH4DoEvRCkQlRKyCDSxLDZgKXaosvbf3WJ0WGAXdIBQJ4UWI5BEqlLEHa5JrBLFk7VRjg27nKdfBIgCz3jXUkFpTLmYkuT1gC76lJ0+phLizhrS5RbOhgQMseolqGQuryVZhjtJu7tlTlzXQjB6v/+e5gzrsXiiqk3RON87Vw0p12mvFTFMAVFAcLVQYRTc7ErNu13FhGGgdmoQnFOmFJSkXeHyFzhNHRHy9JdzTUwLUO3OFqC0ts3sZdaiEqJ+u+8h728wNJbNYY/ekp3L6L9GzcxbQOnrJ/reBigpNSEzLo9d2KA1gFwLFa/u3bpHIRlEm3rNtEzYmHqafTEWF/FPxqR+FcRN7tkUmQS90YLd6GqgyKhlTvPoO5Lv2PqtTZ60iHPJdX1+oUXdekhzxRxeH6dJps9WmslSnfXce/eIDwc4B2OqdxZxnA00/23/o/r1BdmjPtcB5i4jtb/L1ssv9uivlJmcd3Va2t5VfNvCkl1tUa5XWHlrTK2I1i8VUHFKbf/u3WKC1P17LJeW+bNG6jAx3T0dTUsg/B0eilQVErNn5dJLyUvdBtoWlugvmhr/YYso7ZSJQ/1TBVxAamxG2XUu++BEORJodE8KXXQ6pr6WZiVTLJphN0oU7u5oNUwqy4KWHu3gVASu2xh1XV2X393jXt/8C7VhRLl9TaVpQqi5LC4KPB2epT+ym+w9kFbCyHVSjTeXtadNsDgSMP7ZsWl9d4KdrNC/Uad9W+1sEumJm4qRezn1BdsHNekva5/d+l2hXLdYulmiaJQKKXbov+rJRCmacrf/bt/l3/wD/7B1/kzb2xqeQVqVUQUIgYDqNbAspDlKoaaPeCyIOgEnJg3UaUKk9MY4737aJ0/gb1Qo75eo1K3kNUGBAF5JulueliGJG8vU/kf/zc4zSpKScr3b1JdqeE0y8Tvfm9+LNVFPRTIbDcxLENPvXPAWVskx6FahcJyKd1b1wp5UiLjjKNHU/1wKYVtC81vmD1tznLr0vkuvHU5G5GFZrDLrMCouBi2fojN2jmbXSkwbU0Ya98oc/psglNzwLGRUx8zTxCVErZran2AZpXK7SXsRplKqeDmdxdxTMnwmWaB2+06tbcWZwphgrKTs1SLkQWs//YNzJKDWSlR+dZbyCTDXmlDllP+nW/rg8lyRFlnm0JAqaK5Ad2jjOmo0FlcmlJrGrj+gErTJk5N1n5jGdBoR2WxTG3hMsFv7rNtU+sIlEyc+3fmZZRyRWfBUjLnWSipUEqwer956bvOarKXzDBIpwk4DvEoougOdE3fNHVW8vZNACpNB8s2uf29RT08R+j7JAulWwcvdjVEOa31CtOdgQ6aXAdGY8JBhOmY85Yrq2whLF0KcmoOdrNy6dCEaUCSYNbKGNWyngA41nr+y9+7hVU6n6B21oYKeibHy8oEAG6rci4649r6Xs6sslzFruh7YC212Lh9/kUqyym/e5M8zmnfX5rzW6SE0nt35uRM++5NKApEyaXUquBPCqyKQzBKmXQTpKl1C84sHYfITIJS1BfOSwcXzbQvn5AwDIrJOSlN5gXRUHeDGJaBzArCSUbj7eUXvkcHSINd/7IzLCTZjDtx0XQXxmwcdZ5jzwIVw9Ey16YJh5vxpcDTqujhSek0oXJzgWB/SP033qJ2e5H63/g+eaxLWHkqkQpuf7tOqWrB4hJxJGequ4LmzSrv/JbeG8q/eR+7qjUXTNfGdIx5W61uGY1Ze7dOffH8+anP2katG8uYeabnD5iapJj5yTwwNm1Da1jMnLuSisOnWlXTLNmYtsXyb91EFfr3wsMhQfc8uACo3FyYf76+VmXhbovWvUWUErh1R3OQyg5W2aF6ewmnWcKu6XvtLjc1t2G9BaUy9mJ9fj0llp5DgMJyTJx6idrNBT0XohdT+tbbmuzp2ix8Z2MeEPcP43MOhVLYFZdwr6dJ2kKfs13Sxz86CunvBdSWNG9k4339LC2sudiuwebPpxw/CxidxCThf6WDiv7ZP/tn/KN/9I/4jd/4jdd6f5IkTKfTS/++Dsv9GJGmGGurqNtvoRaXMTbWkXffQWQ6iy4KqCRD3n7HoLlsMwnNGfNdYeYJILCXm9iNMsXNO6SiRPDplibinJ4i8wJrdRGrXSObJhqes0x6cR1zQT+ASumeWMMUiLUV7EX991JJZwQqSZFKcPyLDqXFGlluEIxSVJZp5nmhZtmXQlyo/YOe3nVmlmvqoTGzLEwVkubdBaJJirtYx2pqaNKuXwgGpMIwoLlWppT7BJ7EqTqYK0uYq4uUJl2d2QHl+oWuBNvCf7hPfalEvSYplQV+L8RplFi9q/UBhGUh7txGpRmtVRejVpnvm8KyyE76+rsqJaxl7UhKN1rYy+25r20t6Y2nyBV5qoMbkabcvl9iqeRz81sNBkNxySmUby5qstUFW7y/QDKJSYOU9r02FFI7azHr5Z5ZkUlsV8PCZwHBi6YKOUdjEAKlFKqQjAtNCsvCjGIwRrgO7t11PQ3RuoxUuFUbp2zN4dU80e2MSsHkNCKLMu787hoLt6p6YItt6YFaKmHy5x9reFkAUjLpxPr7hcCslTWD/4LZVUc7QSEQpqBc1zwVt3HZYZq1yzBmrWFgO/o7z9bsRSu1y5hnzsw2cOrn31e+wIoXjo2pLmTXRYHh2hSxXt+ga/1Fpid4mkttLW1wRprLC/xehB8KhG0jXb3ZjjrpvJ1Of4fBoFfgjQucyuvXZYVtIWeE1jwpcOou9UWHOJAMDkLSuLgUMJ39lpIKt34h6JytA7dVxqo4V97vNMqYJZuFm+U5amG4ttbesATBtLjUUlhaqJDHOU6zTOVGC4BkEFC90cBoNZicBFiuQefZBIRg+aa+f7GXkfoZdlUfg2ka83VmL9RZ+xvvzn+j8dYiRSZ1IKwM3aZpaX7ExWMHjfw0/+p7uvV0tpwvOnLTNhjte3N43TAE0tWzPux6CcM2cCo2a7+9gduuYlTK1Nbq1NZq8+9wGqV5mcqZtRAu3NeKnWfnIAwDDIG70qC0VD8XaALK99YwTIMo0eTp+X5j6NKPMHS/f229QflGg7jnQb2BbLYu3MYZgjobL23aBlkyc96GgbvWnvMl6kvufK2lUc7S3RqtG2XSWOrEbX4N9R7mlLUfeJHU/cu0XyvOwL/4F/+CZrM5/3fr1q2v5Xfk1EcAcmkZaVrItnY41q01DKmDgeZameqdJaoNk8Vlk+pKXbeHjSbQaCCznGHzbZzlJsiCxfttnN4xtkwQRa7JOoMBTtmm+s4NDEc/3K16Qa2tF/OZQzkTcnEWGwQB1Op6dni5YdPvK7oPupimQBoWgy2t3b1yt4wQChnGPHmCZqOnis1HurZI6fIGnkU5xQyCCoYJGAbjQx+3dv387KLQC7W2XKZ5s45V0oz8ePMQTIvi6HTuyBbWzx+6s1qwXXV45/dWwTAQSkOHpapJnJ4/uKJSplyzLm10ADLWnRHWzRvYqwvgOLgLNfL8nPNYrmpkoFI3KVcFgSdRjSal3GepkWBaBm5JXOyeRFjnjOMzs1xrtnm7WkwnL6jfbpFOZlncbKORucSatUqa1vXBwEVYUwj0PIogwig7WiI5y3R5wDQxKuUrn7/2PmSSNMxJwwwhYHIcaMTGMGjeW9Sqd5USCx+sUFutzTQHNLN5/bvL1M82VKUwm7VL3+1U9XGlh12KaUBjVc9UcKqXHVblzsql/287hhZKKTkY9uVgBqDUrsyvh4Zxr74HdLDnvnP+jKtCYjpaoc6wzoIqKNX056Op5omcPTBnQXHz7SWkpaWlDQO8QXopkDNci9JCmemouOSkPs+sdh2V6v1AJRnr39H7RG25xHh/Sjb0r/2cU7Fo3qheCs5lLln9/Xewa1frw26zrCdvLtfnvB1nuTVPFGaaXHOr3V4gGQZUVvX7DdukiDPtDE0T59YqpmMSjpJL18EuWzSWHIQh9Ij02UtFJind1a20zOB8s6R5I6W6hXn97bt8rRzdLnkWfJ+VmEAHBuEgmp+baQsW3l7AtATljQWcupYUr97QSJvlmiy+u4h5odXTsC3s6vWoziWb6YjYVfcSnUUIQXA4otEyUEAR6/vauNnEtA0WP1jWXQdSYtomUc+jdn+N6eA8WB2dJufttNUyli3mZRMhBFZFj1PX90vMCYGTTqyfWVMwPAwYHITn52UIlm6WMC1dDvpvwcDM/vE//sdMJpP5v4ODg6/ld2Sq+8Wp1bVKXVMvQqmMORncsCyK7/82SipKRcBqM9Y9uoMhYXWFQkLaXtG9vlmOWxKo9Q2s2zeQRcHKrZkaliFY/q1busWmkGx8u43bKBH6ev67VDoaNGzNEu6cKkolmHqC1bsVSlWD5q2GzhxWbA2518vkfkIUKqLdUwDGw5w8h2TGFTRaLxCVCt2BAJAGGaZj0L5dv8SgvnSNZozxpXtNKr//PZyqnpJY+f575NOA7KQ/DwYqDf3gT0c5cSSxF+q07i2ycr+JFCZr31nQzsMWxIHUGXOvj7E6g1gNY85UB3Q718xpC6EH4ZiOyaiXa9JgLAl9iWFAo2WwvG5jVEpIqWgcPKR5X+skvPWee4nAJExz1v5z9VwX3m7z/AddPYFwo0Vl8bKzbqyWdS+6KeYBz4t2SWPAMJBhTD70aW7UMMpa/XC4f70DeZmtvNMgDTK2fthl5X6TPMrmDi3oBnpNFgrDtmjf0XLRZ2Wf5bs1jSoUBVgWVqN65fvL929R+vY9zJKjR+uagvrq1fd9ETMsXQ9/mVmLzXlnB+g6vXAsMj+Z/023bmoHmicFlZYzz77MloZbK2tNJmmF0t0b1BcdVu++UA4xDKxamcZG7ZKT+jyrvHeL5FC3tlr1EiKKCPsh/ihFthcxxPXnVm6dO63+zhSEoH5v+dK5XjGlsGsupnPZ855l08IQxDMIWRiC4GiieReuTe1W+zzTFYK1793QUsZli3B67szat2q4Vf23yMvnn5menjsn664Ozvr7+m/TbkJj6TWc8Kybo1o3SGJJ5UZz/v2mbZD42TwYsB2DSmM2u6NkY1ftS0FLdbU2R4ZeZUJA4qVX/25cdajxOCKTBpYjiPoR+ayDSJOTTdxmmWiSInNJdb2h79mSSxqdJw+TXjbvqKgvaCLmRQ4FzNbwbE8tZqhBMEw1B0IIbNfENs/3YoDmsp4Ie4b0/qrsjYOBf/pP/6mGN1/x78MPP/xCB+O6Lo1G49K/r8OElKjxWC/gogBPlyP2tvLLAhmrS1oVbeJhcP5QWSWTxY0KzQULEYZEO12MhTbmYgvPN4m9DCPPoawdSvlGS2e4QOXbd2nebvLww2heuzdNsGsOZsXl7j1dn262BAt36tTrgtXvLOPUHN79a4tYjQpYBv4oozcyabyts7Y4KCgKQeBpBS/RuMpanut136qxeK+J8YoHrijOHyq7XqF1s4phCKxmjervfhv73beufCaOzgQ4ZrVdR2DXzx2yEIJKyyaYFpQb9jxgETPRnTMr3b91ydmaq0sIy6JU1jVUpWD9jmYU27O+dLPV0O1Ho5HOvmwb94UJYMI257Dv5YujZvVSBYua11B5YWCIW7GwHP1btUX3yuugYe/5VxaS+MkueX+EynR7nDAE1o2ll17zK98n9DVzqjaWY2C7Jm7DnZMCz1oiAezlFtbKAulhh3yo+SRn90/Fqe6bf9nvGAbO+pLeGJ2vblCKYRrXbszz153Ljtm9vYbpOnMY+9rPGAJhmsSfPZ9LYFv1Mnmlzsq3l7j73Qbt1QvOS2gdAJTOXo1XHM+LJiyLfKLFrKobbahWCXsBzbZJY6OJU3eJvOyKQ6gulFBSBwrxNMVyzSvlhBdNSUV5uYZdv4wcWJZgad0hzxQ/+5Pp7JQun4Nhm5dEiSzHwK1afPC31+ntn3cSCaE1QvJUkiUSvxeRBJkmEp99V7WCsEyCbkCRq7kozufZWftso23SO8kv3XchBPXVyjwY6B/GrM+UDO16+Uqp7FVr5tJ5Wwbx9HIwYJTsS3vJmclckmYGeZiSxfkcahGmwCpZpH5KESbkcUHz/hrVG02N5l3Yhyb9lBtvz3gSM3Jgnr0QDMy0LgDqK2XSSLcun5UYqguu/u8LsEWlbmEa6L3T+i8oGPiH//Af8vjx41f++853vvN1HOtXZ0pBGFBEKc69DU72dCZysb4M8Pa7FkwnmLUy1bqFynMQBm7N0cqFClSSUhweI9pN1K1bmGWH2koFI0/nAjTCMLAqDs6qFuUocsXCinUuBmQKKks17JUF6nXNQ9vYENSWStTXaizca+mWMEezx9Nc18aWFpg7XpkpMmwsNELwonmdkDTI2P3J6excDU0IfIm92EteXz7PlA3Hwf3+t+f/P5ieR9lJrGjcXwXQ2geGgTuDeYWAWtvRPdJ316Eyy+BeRAYqJZyNc2KWUasgSi55Do4rWL+j9RMsW1CpGTQXTJybK9o53rmjJYsrpSskN2Ga87rjRVt8TzvoclMfG5wzpecHzqwMIASWbdDeuJo9W4uXCYXCsTHqVYRpEEWC1juLLPzm65e+zjbPUt1m4XaNeJpgl8w5fFr/4NZ8k6m/vw5APvaxFhogzo/bvrWKWXl5+1KRK8rvbACKykbryut5cs2Cek1beHf589/0gr0Myr8I+6o0mwdftaUSG39lA8O6Hs8WhrjCFXldk3E6v8ZW2WbpThXTgLX3W5imhtuv6a4kDxLkbHTvqwCBM7MqDvVb7Wtb8ZqLuiviopNs3Fu89J7W/fNSjmEIqi0HIQTr71xGSUzboL3mMjjScr6Jn3Hjg9al97jtKu7GIoYpXp/Qlun7ccZxAPRGBoSBZOl+ex6ICQGNxQulxRdPWalrkbcXzTAFrduXkx53sXZtMNC81aSyUsWpOdTval0DpRRuU3etFEmOVXM4fjTCsE3e+T//NtgOlcb5mrJdA8c9K3XM1E+vufnusj4mWShOnkwwLcHynQq9vZDmWlkTFSvn31tu2LgVcz6B8Vdlr1ENumxLS0ssLb1+dvPraPZCHeODDxCrS5gqo9UcgVKs37q6CVm3NzSJbXeMjFNkllNfbxNnEhOovH+b8vMeQsCC5RNsrDMeDmmUM7iQZZXa5xFwHOZU6wYyUfACM9sw5s8QQghu3rX1BjH7rEDh+QatVQeBHqNLCu0lA+m4LK4W5JnuMJibEPi9SLOLZwM8TBOsV2SBeaawnfPvcF8IHC4SFCfDgltv64czDuUloZSTE8Gt9+15H/j8PBfOGebGNY7qErw/O/fmgnnp75YlsGaRdK1pkgyAt95CNBqYqrh2E67eWrzyN9PSTr51ozx/thfeuaoGpkelvyLTLZ1vcPZym2IwxlpskgwSTrcj1tdr1NdfH+06yxJsV8Pt0Si+FKSUl2tMd4fYNRfDdZBxSumdW2BZl471lfA0zBnyeZZTsa7CrmE/fKNa+5e1i79VZJIil7q18AKEai23ESWX1XfLmLZJa+X64xMzhUB5IRho3Wle+97r7EyJEKD1wQ2KOMMpmVoVMZOzFtSra0KmBYZjY1jpa2W6jbeursszq9ZNJn0DxxVartoQVxCEl9kZo/3MSg2HUt1h9a0yTll3qpzp4180JaFcN+kfRNTaNvXb7Svvufx+jQwYQreTBl4x69GHrYcx3/rt82RCi2y93LJphExzyquvvk9u3eXF0P6M7f+iCTEjdxaSyYFH806LvT/fY+n9JQzbJI8yFu4v0dkKdBuhY81h+zSR2I6YI41FrvdGt2pdQlXO7AzxUoVESVh5u44QelLk3oMpzaZB5UIpySkZNFdcop3oynf9Mu1r5Qzs7+/z8ccfs7+/T1EUfPzxx3z88cf4/pvVTb9qU4CxuozRrCMcG9s1OT7QJYIXMwhjdQnyHOPWTYo4hckE60LJwFxepPTd+wigZGb0Ozn+MMEyuRQM2KXzB0AIvQDyGVv3ooO7GAzo917eSFRR0OloR7i7XeCuNnUgsmJRCIv22wtXYEvDMli+32J6ElBdrlCq29g2ZC8Iil36jCleGaVezOTPFOQMU5BEEsc9/5zjChRi3p9/7XcJcW1G9KIt33g51NpasrRwzMzxlcpiPuTndazIJE7Foj6rj168X/PjNF4vyzszVUjMxRbunRu6C6VkXwqiPs/O6qaN1QoCdYkEenY86UTrtgvLBCUp3VvXTPRCE8Qu1jxfdZy6QwJkdDUYKL4EMvBF7CLjPhhnJMHV3y/95nsYjn2lJfBFm7ezXajRvhjYvsrspeZ8TzAdPQ3PrdusvVMjy/TxvQzaDfrRfJDWlzXLEbRX7PneUL99HqwazuuvqdKsy+HOt+tU2i7BIL62Pi8l1BcdPvjrizSWHJzPCz5mLEfL0s7yaCs5r53nkMQX5hqsvZqDYLoWjfduvPI9n2fZJLhEFla5VoVUUtG+1yb1ElI/nXV06WDbtAxUnl8WoBKCk82A6SCbt1UeP9elo0r98nUvrV9OIExbl2sqbV1uqM10Hy7OwACdjLgVS4vY/Qrta/31f/JP/gnf//73+cM//EN83+f73/8+3//+978wp+CrsmCYIF29uEWzSXvRxNrfxjTBf7R/6b3WvTvIvQOcZpmwG2hBmln/8VwAZ30NmebgOKSxRHZ6GCULYV/vvG697WLZglE3R7yQVRjGpflBV0xmElEqkWSCKJDnDkpJikJrArxYJtADcGDxXpPFuw0s16JcFkSvCETrrVdvsuY1ZDSYdSFcCCKWb1gawTDn+8VLg4IvY5YlWL1dmgcDtmNcRkdm1tm/2usN4PX030sv6a4AHey8mGl9nplVLURkWAbOSvtzs/RLv3dh09j4/rJub7uQxQkB3sGYsBfMpJBN3Y7ZquHM2pzCcfq517vI1dxpVX7znauvZ/K1YNuvysoL59D22ju1a4MB8Sqhg4vvM4SeV5C/Jtz9gjlrC/N5GXPZWVuT34RrMzgIqbavDy6icXKJu/FlbGHVZu22c+19qNy/+YW+s9p2GR8F1wa4Z9M8DUPMtQ9eZWfEOcue7Utld97aZ9lcIsx9HknOLDvn3SRf0NKhf+layVxqqXCFnjBpGaz/zjp2xca0DaK+7tLRROeZ7sqFIKnIFYuzrim3YpKl+ruVYp58Oe3L3ToahbGpLrjIQlFuaBL5y5CRpVuv12H0ddnXGgz8m3/zbzRz/IV/f/Nv/s2v82c/15QC/6ePkUmGaLewKjbFzTtYFlTub1x6r6hUoFLBrZr4m6dUfvc7uLdW5t8DenErw6Dy2+/z1nslosVbmJ+TASoFO0+SK9m3aQru3Xv5w6IUuA2Hk2OFMZ3MJsmB9COUMDDNqwxX0xI68rUNrNeEexdXXn38Zu18wxYC0uQyQ3b+PWv2fGMJJjlu2WBwnFx531di5jkycJ0pBaF3vVPQMOLV635xQxFCUG68flZ5hp4YxueXGK6z2oW6qlvVbUvl1nmGNmfqzxai2dLSwcKyqN1bm5c/Pi8aCAbxnOx3XaugFpL51dQyDVPQ2dLB9xcJIoVpYJVMLTr0RX6/5DD98SM9u8A255PylIKl+wu018vXImjVWwuaUyTVVwEMYFmzcsebnsZrXLTrauxn5ZXXNsvSZQJD8NZ7Lm7dJS/OS3iX0c5Xf1Vp+csTx4VpXEJMVCEptSszme0Z12S1RqmhRdcMy8B0DKwkmJ/3zXfPEx7DYD5R8Pa368jZHjs8jhl3r6JpAE7JpNLW/CYlFaWaTZHkiNL1yIjzXzMy8Otqk7FCVMrIROPkotkkd7R8qjlj/Waj81KGcB0MA8JBRON2C3fjMimqueLSeH8Du1Vn4y2bhbstTOfVl7bRMmgvW2+8wUmnRKlq4TiCO7f0jG7DgPiz5/CSaHre0vOGWe3rmhAQ+pI0uXoyzbaJmrVPykKx9lb564PD6vVLpZnr7MVA6cwMU1wL976sJvw6dtZqKCW01iuvVQq5aJ8XuDnNsh7hetb7bJm8yJo0Zy1Lr7J81gJlNKqXeA/z73CteQfDL9v0COAvXqYQpoFhW5RX6p//5mt/39Aqj9Y5XyU8nZJ5Me0b5UviRhfNqro4Ff18f1WBlGnylSM0pYZzrXN+UwEcYVvzQLzRNrFsMc+eaw3jCuv+6zbDsa7wKm7/jbdQSpODL6Juhmmw/BtrlBZrVNrOleAoeyHRMS2BW53NsDHEnHR8nSmpUZEb7zf1/pLnDHq/OsnhV9k3MhjIkgJRKc2L8+a77yCr9Tk8r4pCT/+bmVhoY9XKHEaLXET+55r+19S8RfnVkI8Qgjvfrr1x1qCqNW69Zeq6/Ex9yzBANBovdTbGTEb3Yv/zV2mmJUhi9VKnc0bEuf2+RhPepJb/JiZs+5UwfKlyvT4AaEjwxVoeQDjJXgoDf56dtfNVmjbtjcrnvPvNzbRN7JpLaUnDk1oB8fI5tDcqLw2AzmxyonvKX3btrJKFW/961s7nmRCC+qIzI869+ecNy8As2fNJc29iSaz3h8q33sKeqYZaVRerbM8d/NLt6++rkorqUlkjA19RMPCFkIHP2WBqS6Vr9403DQbMxfa8dGMY+vOTYUGa6FLm1kNdhlPXZD8avPpqgwVhGpjly2vWLtuUlmpa9fFFQrTQJZHKUvXS9TBNqLbsS8GMZRvz9tVS1XwlB2LaS8jiQiNvQrD6XvuSYuuvk30jgwEhJbuD+iWm3oXpw7PRpRcixwXdFrO6bszZ68vvLbCzWVy7iKsN86VQ0KX3LbhvjAzkOTQasLaqP1gUWqSImzd5CUUB0OSnUuPr2dAtWwsBFbmi1ji/bkophp2Ug6ehDlhmD5n7BpKwX6VV6hZLG9dfg9Z6BbdyzUN6Qe70Tc1anbWWzoLFPPzqyyOGdR7ECNO44tAtW8whzZfZze/9encH2WULrxd/IadqWCaF+cWCuUG3II7kJbGm8kodp1Ga7w8vq6erQp4jA19RheVFcvFr2Rd0srW2/YWCLzgvt2WpmquGrt3Sm5OUV8txr1HJemN78fua7+p259Y9TfKr3Xg9pMiwDKpNC390PdtaSmitvnxfNW3jUgeQaRtfGGn8uu0bGQw4Rk51uXLpKT2TkIRZhnUN5G40Lg5rMfjWdy0efXoVwlxZt2Bt7crfX7TpqCAK3uzpNk2tNGyogmzsk+dQrUKrdZ5xe+OC/AUHUGl/fZmdZenfXFyzWbt1vvEmkaS7H5PG8hIEv7D61QnbvKm9bGN+GXFw6e4Xg5f1bxPYntYAAK2ESURBVF3+sWin84W/62W28MEqlVV9jOV3b1953bAMileoAMKFa/J1MDu/ClOKrZ8OPhfhuM58X9HtqC90am5J4E/lpYDfKjtU1ltzYZmXmVNzdC/5lwgmXzTD4HNLPm9qy+9c375nOcYXD4ItLQOuFMTh5e4iWVxFSoT4AkHOG9oZKfBsrsHLOqXq9y6XgG1Hywrf+qB27fvV5yBWlmPQWr0wStsxGfYKRoNf3UCil9k3MhggDMgNG3Whvnom5a8UBE8PsZpX2fJi9bJGe6ksrjqXGZX/dR6kJJJvXEsrlXRZ3DVSSjeXyXMw0ohmNafe1LczDC6PPIXzh+DrMMvW8GW9eXmDTEI9gvfWe29eL/91sWvRgl8j0wTSV2gfmHrGxX/JVlt0aa6WvlC55mBPT+mLY3j25M08jhDgTSRx9ILKnBC4C6+WbC43nK98zQvj+pkYr/7Qq4/hOmRDfgWkxzNRtZP9DMcVjPra+ekWvq8fGfiix2+VL68xp2RSqlwe0HTRPq8MdDaf4MzKrdJML+KLHd/Xad/IYCCvtli7V0NdmMBx5kiRkiJM9ACiF2xt/fLlsm3B0opBdsGhq24P5b2ejoJpiSuqh59nq6s6qm2/s0z17gppCvg+7sby3Bk3F8xrVQhftK8OvhS0l686TSkhmOS/1La0/5pt5YOXC9O8zAxD0Fp7eb1cFvJ8M/s1Ddhs16C1Xpmzud/EDAPcGSi2sPhm56eUFt8qrkniPk9e+OJ3fBE73bvaAvuFygRfwL4KnkO1rjsIvHGhZclnAmZ5pq7seV8oyPk1MSlf/dis3ruMKBzt5VjWV4/wfBX2jQwGzIUmpi0u6QAsLp3XXTGMa9ttWu2rf/Omin73ghDMtz5ArK2+1nEYhnbcb2JnnAXDsTBNnfFcks4F1m9bX3qxyTd8OEvlq0+EEPoc0/jXJwyeDl6htPRrbl+HVOlZ2ydA+DWUMb4KM2b961/ss/pzt24bLK+8/necrf8ifzkx9nVs+X7rpa9FoaTfvR4uDv2rz4wQLxfu+irturr+FzGl4N4HejbJ2i0bKRVpLK90YLglcUmU6L80exMEyJ9Kbt61Gbzkvv8q7RsZDFRKSo+RXbwqsekst7Aarw9rF8XlmQbCthHV15v6du+D0hVo/U2s0YCHD9SlUZ/w+osziiC+5iHMMsVo9GbHsrh6faa0fKtE7+j6PtwXbTR6+YYw7BecHn15JbwXYbtvup3VcF/soDkz9WuAZxqWeG19jCuf/YLZdL9TIITuQPkiXIUze5VgT5Yxb7+7aF8Wpi9mwUuWXoXkX8dk8cU6N140IbToGOjae5aq+fCti3b22ldpv670l7fft6lUjfl1+XWyb2Qw4G13Z7OrX7Ji3mD3uP+++StbeYYhuHX7+of9dQ5pPIYwvPr3s2GOX4Wt3Smxduf1yIsnJy9HJKJQfSX9uYYlvvI2pl8nGw3l3Bmc2avO9wwZyP2Y6jtXJWBHO+Ov+hDf2OySOe/rflN7MRh43XufpZp0uPGW/bVB8xedblGoOelXFi+fXvc6QUK3q/83GGfU22/OFzkTKPsq7MzxW/ZVMbQX3/Nfor04Lvtz7df4XL+RwcAwrmK1ai93eG8QFgsheP7k64d8kkTh+1cfpvfe++KLa339+rUp5ZtlU0qpS7yJ87/r/12++ZpDVexXByFnUGJyjbjR69pg8HLhof8SLPRfvdaS+GqNOzl9OcwzOY0QhiDYPMGqX+UW5HH+pYLd6fT13yulujYYtN5AOfNFuzz46/VPZTIsyFJ1raT1V2HjYXFJkCiOmcuDf9lRtvMs+ws6njxTX1kwcGZn9+GX5QuTzviX8julN22TvrAAf92Skm9kMJDdefsrVfMqV77+FZ6mMBy+5MWXCHl8ni0scC3RUMo3uzZZqjja/fK1eNN8+fCkznExd+J7m2/+W9lMJSxOvhzs+6XsKxBXOd17tVZBnqkrgVyRZC+F+71OqOvDUl3hyXwVm9VHH73aAW9unv/3aHSe1b6IbnxRM4zzNfUmoj3TsZw/Q1+HAxsPpa7Nn/OW59fpywQDRS7J8zfn/Fw0WahXzi15XbsIhQtDfGVo4+tY7r38BMLw6rVJv+IyxUtttphM86tDX78q+0YGAzdu2fAV9rY2W6/34H6ZB/SsxziJJZP+eW1XfQlVE+MlkwTftEyQpYrOYUYUStJUzXkIn3dYZ7Mqzsy2rw9OANJE4ZYEg/75TXtdZ6WUYtSdeQQD4ted0f5Vm2FcmYr5VduLgZyUiqPN+NIEt4tWXSzNJhZeTdtkVnzp0cUbGzqQfZklF2Kbi7ez17l6nY534jfmjZimVqkG/fyMhq+3Zm6+ZbG68XKIvXv45QSkfO/yccTRuRZCnl9RlX4tKwrF6DRGyi/vaN4E0XmZyTQnO5O6NiD6HFTrVTbovf5nVVFQuftyEvdkcvVvJydf5Ki+uJnWy8smvyr7RgYDUaSj8pexhF+1kK6z4ejlXi+a9ShLqRj3vzgB7gxSnIwk4875RnSdBO3Z+1/HLu7/Z9GxlNDrQf7CcJcoUgTBdYTDmSRxogOD/S3teK/LRi9C/N7RlGSqz6Xfk1jWy4OBdz6wabYF3vT884cHr3eS3S5EQUGaKgwBk6+5o0BJSe6fZyZ5rth5nurBKV9BBKqUYtS57IziWOF7EtPU7VxnJiUgBN7w6jkrpai0Xfxxfu1hFZnEKlnXrq/XNcv6fMd0hnidxbWBL4mvGS4Zh5Lp+M2un+PA2g19/GethZ2Tz3cs5epFJc3LrymlCCav9yxLqfD9y8JFWaauOPtRv5jfgyK/2n73OjaZwNanegphUVxz4K9pSl2P0Mns/JzTuCB5xXjss86BM4dnGFrR8eyQouD6zz5/fj2MfrFj60X7+MOM0fBCklBIzPLLNSmuW49R9PpoVBC8fJ8aD3OSRB/LdPTyNfKqve5XZd/IYEAPj3j562bl5TXuopBzyPnMLmY3RXh5F9vdlrPPvXxTjCLF9vP8lcjB2UYZegXbWxdekNcHA69rFxfkePZASQnLy4rdp5cdThgojrZilFKXuhD6pzlZqluwLn5f0hlf2kCkVAz75xdhtDOewYeKKFQvhc66pwVxpAh8Re/0/A15pq7thph/bpZdKgVHB4rdXT0COom+uoj8OnQi8vJLzPwkVoy2Rhi2+aWRgTPnmqeXHUye6WsoDMGon/PswUwLXioMx6SzexU2lblEGOCPc2i1rm6gSlFul1Cuy7inz2cyebNrZ5pw8PQaluoFC4Lz/xZC1+ujF0Sz8lyRJW9+7S7enrPWzF/87PN34ZehWkop8ky9VITmRescFxzty0vr2p9KWgvGpRp6mp4jA8Eke+kBTIcvP3ZvKplO9TWPIjVPRM7s4ECRpooil4Te9d9zxks6CwakVPMAPumep9SbT/Jrg4Ezh9rtQhLk84Qry7gkhOaPL//+2blfRJG6HTV77dVrLk31nuVNpeadFJJXPWbXOWHL0seYJvJzFTuj6PKef9EGPYXv6f9+Ufjtor2IDCh1PV/ml2nfyGBACOh1v9hnnzwo6Oyeb25KKfb2zl8f/9knl96vtQD01KuX1eGV0pHvy+DULNWLvLvtM+pm9Hs5USj1iNRCvpLw+HnR7tMn56+fLc7pMONkK5rJhJ6/niSK6SijyBXDC7CdaTKrU+rIWAh9zMkkwX92DEDnJOfRzwLCCyTI9r02qtClhTMN8zMbdPN5ycEw9G+kqSK40H9drgiia+p/Z3Z2PX1PcXSoN8JJP6Vz+ooWxgu8jLNNaOf5y5GEzafFlYe435WoQjvrNJHEUYHKcwzH+kLBwOHWeYCZ5noOxP7jgCJX9I70rpTn8PDjDIFi82HMZKjnZkShxLAM0rFes3E0C/iynP2fnjLtZ2RxwaibXWF1K6kYjgXdrphrRezsvNmxm6ZW2rzOlDrPQvMgJjkdIaXOnJ8/urxjx0ExH3bzOub7sLcriYPL90doegSg1/agL9+oPv78OYSBxLgGxr/OaY0GxRXYPk0U1bqe5Hf2kSQ+/+/p8OWZSr19uSWt3zm/TqN+wdB3iGPwPTg+unw8QujuodArCKfXBwP9riSJFVkG/W5BkpxrHhxvx3jeOdL5orPLUsnJtr6YRa4YdAv6sw6g4UBx5/75hMTrJpy+aGfPr5SXyyadw8sbZbms0QHfU4ShwptIPO/lwMjFe5FluvR6FmTHQfHSNsei0GXN6TCbBxTe9PI1CEM1JzpfdPZSKori3OErdTlxylJ1CdH7Vdg3MhiIQsV4/PpR2OQCNGlakM98w8luTFHA2qqks683KmupdemzpglPHuSMRzo7SK4R4JGFYjJWL60h+cOUQVcS+xlJVDDd7PG//nu9ib6sTHBm3Y7OEPJcMRwqRv380twC2z6H/vNcL9LOXoI30A/c4OQ8BI4jvYDlLJM/s+aCSdDXzmY80Ip2kV/Q3T/fZUNfsfs0nsO/g+eD+Vjj482QsyGPcxgxlJwe5uxsSQIv58ZNizwTl+BLw1Ac7LzcUZ9tJvu7BUkKqlAUqaRzmCKlIphqNOZnfzye8wgu1g6HA8Xx8cuDNNCErfSFjDXyC7KhR3w8pLsfE01zfE9hlF1kmuNfAzG/Kis4c8R7e4owNkjCgmyWwTz/82OyVMOxeSbZfZ7SPcxJEnj4Ucygq4PGzI+Jw4JnH+v7JNOczrY3l8Qed+LzjUqeIypxLBiN9LpVSl1bmikK9dJsSik1z9JOjgrGIzmHdJVi7iiLOKPbVRzsSfICGi0IL4wuLnLJwnoJIXRQ2D05f23cPV+jZ9mw5+kgsNeRc/g9zxWbT1IMoUtg+1spcQzb21fPRxP6rp5rqwWT8dXneDhUPP8knAffSim2tnQwFgbFJQd0uFcwGatLUuRZCqcnMyeSzYL/ToF/RXzo8jENe+fBThJJPviOOcvm4fhQXoLPzxzei62LFxOGyUjS7xREIRwdaMd4dv0OnkXkib7uh1vpFZnm4Wk6FyvKczg9lvzZH2czRwiTyTlHqXt4/UN1sJvPr/vZczceyksk7eePrj7zYaDPI5hKJoMMKQWbm5fLHWewfZ5D70S/cHoK+1vZHLaXL6zl6VQ78SxTDAb6PZGXz9eZ/0IwsP04nZdbg+n5vRkPCwadnMEseBsNLs/LyHPonyR4o9fTZPk67BsZDDz4aXgF6j+zfk8/iGcQWJYp9p+fZySRl83b6HTWAcebIeFs4ND+sUWS6Iw2TRXeFPzpObztzRZkkpzDeEUBNzYM8pxrW/RkoegdZ+w+jugcZXinPsVsh1VFcSUYOFuAoZcTxzrbPTzUD8bgNGM6Ot+ZXEc7vWwa4nuK8Uife1EoHFcQTs/f++xRgVIa3ipyRRpf2OFmQilJJDGM2euTeI5aRJHi8UcxeVrw8CdTjp5MtW58rvsYYy8jGJ1f58FpxnSSk6WSxx/poCIPE9qL5hzunU4UneOrQz+8GQSZpYrucYYsFNMp9Lp6aEoSKTqnkuFpyvaDkHE3vRSIFQXsPYtJU8Wwrzg5Ki68psjSgiLXzvHosc9nP49JE8l4oIOL8aAgn4bk05A4KIg6U2SuMEs2RZpfOwHt2ePrswLthPV/5zl0jjW2bBjagfqHYz7+z2OU0nMrIl8ic52BfPrjAMNQCCkJfvwZsZ8xOApRSpEEGcEwJQoKFjdcyg2bYsYR6T3u67U128SlhCy5jIBdZF/Hfj7PCC/a06d67U2nkp/96YTxsCCJ1TwrlFLfoyzRa+DZ4wLfk4wHEtsSHG9d4F1kMxg3hdPDnChUTGbrOPTOr91wqL83TXVmfHwoUVIHw5vPFUe7BQpB/yRjf7uYZeeK4Ylee3GsN/7T42IeuF4ETM7G7QbTy/dr+2nGZCQJPH0NkwR2dxW7j0LGg8vBwK27JoOhDmyPDs5r6r1ZXTwfjChyxScfFRzvzzT9sxxVFOy+UE4c9gryHJ4/ySlyxfKaiddLODnWqMdFdMAwNDL0/KPJ/JyUUmw9PQ+skgR++sOc558GJLGaIxaHB7q2evhgDMAvfppeikvOeBRnwYA/zhkPC/JMB33JMODBLy5j6y8GW1Iq+p1znYyLGfrpBTTvYrlISsVkogPmPNP3LvAk/YFgOtUtm4NuzrCbzjPvotDlFqX0EKuT/WReoswzyc7Tc4fsebqM1T2VZJkeLpeEkvGMiJomOuDLc73GLNeYr++j7YTQl6SpZNBT9HvnQ6uSWHGwfb4PyEIRTbIvrLT5Vdg3MhiwLXjyoX9tlv7Rh5JBJ2MyyzaePsx4+qF3HuF1M3xP33zfV4yOQxp1xXgsKKKEotPn+PGE3kGkswsUIDh8qmHdM2goSS70FRfQXtTBQK87izg3T+j8fI/JqEAWiu7jHkpKesca1j1+HpDnit6WN5+wePhMF1/Pstv+fkSSQBBIjncT8lxH5GfP4GSYc7ivldaigz6BL5mOdJ2vuWhj2VomNAgkQaDodfRc7ulEcnQoOdqKmXRCpmP9oCilONpKULNaaLluEYxTpuOcOJRUKorpRDJ62mM0FiSRRBWKn/5ZxNYnPn/y7xMGnYyoO+FgKyP2C4Kp5HQ/0zW1J88oe13aSwadU8nBfkHnRDHsS70JTHP8UcqP/v0Y0E6hf5JRSIVUgsmgwCkJlBB89nGBP0o5PcqZjs436yQs2Hmug5DeUTrbCBRKSkbdlHEvY3iSEvoFT58oWqsOvcdDTvZTwkC3dR3vpWRxjkwyFtdd0nGo9d5Ngzy9XD8+M2EI/M0T5Aus/2BakMxQC9OEUa8Apdh4t0oW5URdn9NDvamkqSIMJG7FYHhasL+ZMe4XFHmBbLY5eTwm9TPt5KTCcQ38E5/BQUTgKV6cdHmy6XPaEfS6iixVlMvwwbfEbO2cH+fRXkZ0oQYtpSKJC4JpQRgoVC45eOxjGII0OSfP9U5SjveSORLR++iAUV/SOdbPWP8wOXf4oYbW79632HqSkSSKcIZoZXHBcNYtcvZc9XuKxSXB937LmOtmFMenRF7K6XHO1oMQy9YBRr8P/YNIByIjSRhoVU8poX+aXrlfk7G61O2glML3FKcn+vN5JvE9SZrAoK949liys8M8gM8zODzSPI+dXcHTh+k5ShKniCzXe0L7HAlL+h7ZJESIy62jKzfMS/MTKk2HckVQK+eUHHmJNyCEdl5FquYRzrCT0e9cSA5cEAYEk4LpVPHRjxLyTPHg4xykYniS6GdRiUvrRRaK091Yt2wXBb2jBN/XSUCR6+ml3eNzRcTmosXW48tZ8Nk1yHMddF9E5Eb9gsef6YvRO07nAcNkVLCzVdA7yTjcTkgTRZ7qcsHKil4LUSD56V+k87LG2f4Xx3B0JPnkx/E8GCgKPZwK9LFfJCzv7xT80b/PiSPJ0YG+ZoNOzslBTu8kZ9Qv6J4qujOCaprA/lZKEisODxU/+CM9yl0p/TwVmSSddVvIQgfJL44g/2XaNzIYMG3B8WZI5yClc5QyHklkmpFnBcvNlNPNgNGe7q0Z7XtIpfuTk1iSRAXdw4zhaUqWwuQ4wC0p/ED3KjqNEmE/JBolOgId5GDAztOM6SifZ6B5fk5kKXLFxi092OPkSC9EYRqcnBicHObsPY3o7UUIVWCognQcMHnaIc8U4bNDxGx3PdhK6B7GRKHCG+dzhOPxJykNMyCJJd3j8027d5ziT2cqaDMKcjLrtBjPsu0skWxvwV/8p4RaXb/t2aOc0UBv6t2PTxh0ctJYEyuTWTTf/egQe7lF5BdsP4wZdTMaTcF0mJOnBaeHGaahON5LOXk+obvrMxkLxsc+0dFono0++blHmihODhLETGxBKcXPfpRxsp8zHCqCUUqaKMbdlOFxTDIKSVM1i9oVYnuH42NwXFh/u0yWG+xs5kQRbD3TXQayUMSRJEkkg25Blige/SLGMPTGEm6fMtkbU+QS39O11X5PkRUagdn8NEQVCn+S49gSXJdhUkEI8B/uUeSKRz+akGeKPC2QL9D3bRvGE5DJZdRAScWwo/+29TSjd5ySZwqnZJD6Cc31CpOJ3mDKFcFgc0gcC+KoIIzgaDMk9VJUvc7wIMC0tYPxRglZUlBtmuRJQee0IJuhYfvPI6RU5KkkjnUQkGWKTz+RjIaK08OMKJAkiUaHeocp+QWkLU8l2w8iOgcxzx9pRydmBIEzqd0kUTz4Rcbhbk7/UKfglbLC8+B0N5mXFva2MuJYMejm3Lhp6g4HSzvTONQIVmc3IvQKgkDD472uwg+g0dT3DqWdZfD8mCLRn+93JNN+SpYqBscJpapF77Sg21H4U4Xjasj8ZC/hk19cvleToYb541iX2E6OJdNhzvOHCT/4kwh/nHO8m3F8LIkjQbWspbb7vRmylGuxsqKA1TV4+ElGuSowxIxXZIqZU5TzLFOYui1VCD3Ux5sUTPoppYpG6k52YiZDSRhKEj+jyBThJCdLuUQWzGew/1nwlmeacNfvK0a9jFYbsqjAIeb5Ex1cpqli52mCN9HBzqOPQvzwHDGdDFLGvZRKwyIcRhx81OHouQ62Ir9g1Mv0Z8fgVEyCaY5hwN7zc6TgbIxxq6XLJ1GkCctFodfg8DSje5IznUh2Hkfz6+JPpC4HnUqUmo2clgrLNrBtNUMqwZsUczLjmeBTlkHNyTjczhiP9D0e9bJ519fzxzlhoHj0SYZhCuJIUbVSskRydCDnctKBr+gexHPk4WAnZzzMqbUtDrdSwlCy9SxnMswY9HIefKi1PaSUHDyL5/4g8Ipf6cCmb2gwYBCFitODjMmwoN8tSKcRex+POXjkEUxzpkcaDSjSnCzI2XwQ89kfn9LZ9nn4i4Sf/kVMZz8mHKdkQcbWJz7jfkZx5y6WIcmljpynwwyhJNNJwf5HPaJA15iL4jxCFYZgZ0svwF/8LGN3u8CslvBDQZpqCOzk0YhkHDE+SSi/tYrhmqTjiLHZZvPjKTsPA04PMrqHCVGo6D7scnhQsPkoZvexfuh+9hcpSawJfr3DCFlo+M8wBF5s06rl5DNW8xkUZ9kCmRWEvg58Ii/HNrWE7WggCbZOsGyo1AUPfhphC0kwzdj64SnOxhI0GkwGGcc7CY26YrQ75nAz4XQ3wbIFp5s+hRcx2RtjmQXTQY5SUG0I9h4GHG7H1Fomzz8OkUtLDD89ZOtJxv5myvaurrUOuxm9riRLJKEvCQLYeZawu5nRP05IpxG37xrI4xMMU7C2YZLFOVkmmPYSlusxm08znj1I+dP/mDLopAgBu89SKlXBeKTI7RKDU10nPdiKSWNJ4BXsPUuZjCRHezlZIvnL/2WKGwyZlFaY9lPCScrkcMq4GzPuxOSZ4vmfHZHOHK83zonCAplLTo4vt29phjHUWpo0Zhqat7H/JGA6zDh8ElIogev1NTKTZKSnY9ZuKIbdDH9UMDhJ6e5HDI9i5NRHCNjfU/zw/9mld5iwuO4w7qVkhUWeSYadlOkg52d/NEbmmkyWTBNOThSttuDhpzk7mwVPfhHSPc75xV8GnG6HuitkVjqRUpNQn384ZbGt2NmU+MMEzz/PYHeepaSRYjhQ9I8Sjn+0RxLkJGFKv1OQpwXbz1J6XUWvp0lstiPIEn2fTw8zpoOMPJVUWzYn+yk//POccSdhdyvjeL8gnEpO9vM5MhAYdVZuWqSJYjJRPP0kYtTPOXrqMxpBZz/h6ScxSaKVB09PJdOR5NlH/qW6+kd/GdLv6QAgDBQCiKOMo6chR5ta0XHqQRLp863VQaADqsMDxc6mJvClqUYi00QH2XfvGcR+xtGBwh8X/OX/b0qaami/e5TO+EGC0aFP77Rg61FE5yBlPNTlyt2tgr1tOQvGAk4OMyoVPTn0jPy29zRESkVnNhXx4x+GBJOc4yNFHCkm3QjHyrENyf6zCJkXbH8a0D+OUUIQh4oPf5zhHXtsPtD7ijfMONmJ+eB36zD1+NP/6yn7D6YoBfubKT/+k4DBSUy9ASf7GbtPYgwTTg8vQy7J0OfhTwJ2tuQMHUBzF/Yyxv2MdltwcpBRrpnzMm/nOKdcgXpT75PPP4vp9yT9ATz5KMCf5IxGUG3ZGK6lr8FmNuOegMoyDNvkL/7XgCiQPP5ZwN4jjbBOhgVhqJFHy9JJ26gbIyyDRstgf1+xsGKSxgV7T2J+8J8TJoOcg92MH/5xQJYpLEcwPE453UlQuS4l/vH/Y8y4E9NoCKQ6558MDpNfqRDRNzIYWFh1aC2ZDA8i0gS8icKfFPiDmFJJUW07ZInk5FiBVEhvymc/nPKT/3mH/ecpx9spJwcZoS/J04LEy9h/MGH/kU84TUh7E1AaJpr2UgbH2kFvfxaw+ZcnPPk0nbcKRpHOSoPDEeNexsFuwfTRPjsPPHafp0wnBZNeSsONGY8U3smEO+9Xaa04BLtdToYuSsLRbkbgafGfIpdMjkOEknSPJcc7sSYejjK2PvLIc8XHPwjxJwXeIEMpvZEM//LRrBNAEfU9UJIkLtjZytncUgx3PZyKiTCgUjcYDCTeuODmPZfdJzHHT6ZEXkr/JOFwN8fzTaQSPP00oXuY4A1TTrcivNAg8PV5Z4WBLQriWBH7OTtPMgadjOePMsKPnmApiWnB9OfP2X6W0fNcPv2LMQiYDCQKQZpKdrcyvH7CH/9PXdJUcXqUs/XhAH+rgy/qLC7A6U/2+A//S0qcG+R+wqif4/VTrGDCD//dgAef5JxshfSPYrKkwB9lyFyxtKD4+Q9Cdj4aE4wzTncT/G6IYxTs7+WkXsrxQUGWFPz8P014/rMRn/3llOkg5eknAaoosIOxdtgSJvtTTjZnRD4Jjz7NeP6THkd7KZ/9ka7xjIc5P/9hyPbDc2jRdmBlw+LZZynCMMgSyYc/ysgiHUCOehmr311muZXR3U9RBljhlOPHE6anAd5uj8FhzJPHBf7BgGrLwjQEo5MIu1EmTxWH+wVpotj8LMQf5/ROc7xpwb//nz1ubRQstCS+rzjcjNn8LKLf1fyJXl8w6mjnXeQSb5RhVyw6Wz4PPk7pHMSkidC1/1Sy9VlI5zDh5o2CeJIw9RRRLCiXoN4wGOxHfPgXCae7uqtl1CtmJEnF00cFp8c668wzRX/qsPWsYOtZzslezPMPx/SPE04OM558ls51/8fDgl634NM/7fPgo4yjzZDdRxHDbsZ4KPF8yd5Df66Tcbids7eZMuxnfPLTmHE/JfILekca+j14put8oZczHUpNNJ5JKu9sFkTTDNsWTCeK06OM/lHMaCg5PVGUSxKnYtBqKp48Ktj5aESeS579aKhRDK/AG2rEazrM2X6cMOlqOHu8N2E0yDna1SWuw51sRnKWBD50OooHP0/Y2SzIM11mOtjOGHYy9j+b8uxpQXNZCyp5U8mHP83Zf55Q5JJxV5cOj/dyTg5zukc5v/hJytqaYJDXGfQl3iTHG0uMGeTf6+j9EwFLdyrYWYxdMpgGJjfXC7YeZcRhQXtRMO4XPP80whtlOCUx7w5SCvp7PkIU/PRHOmF6511j1lKqr4GSkkc/mSKEYNTRpcOnnyYc7iRYQnJykKOyAn9ScHysONqXBJOcB7/IdGARnRMopVRMRznjXk7gS54+yvjzfzfGcEymU002TRPF/kNvzq9IYoU/zJkOChaWDH78I8knP9N7+9FOginPiOKCn/5Ql0ZrDcGoV1B2CwJPcvw8JPJyHn+SMjpJyFIYDXSA63tfTob6y9qv3+ikX4JVq5DGCnNRL4J3vmVysFdwsJkhbYOnT+D9VZetRzGmJcgSxWAnpbMZkiym1FYqrCxDv6uYfnzEzb9+l3o24Oh5m/u/3SQ8jIlHCUavoNmC7U/HhIdTJpbHuP8M48YyzbZBuWFz9FmfzrSCEySoSqGJTx+dklgVZFblz//XkEUzobrocrCf0SorjHoF/2cH5EGJ8aCs69FZSp5D7BcUSU6aCeQgolqtkww9fvQnJrFrU6kKth8nPPzTLnf/2iqWbZHnisPthHrHI73lMzgp8E4zci+m/+EeU/seRZAz2RozPKzRWq+QxwUPP5UsjSuUH4cMh4rOfkB9qUTZBW8sCXzJ6DTDP5gSS5u0YuGfjpkKk0w4nBwVHB3pIuFkAn6a4qwUPPp5hDdwGT5TWO8WDDsZRiJYfKvM8OcG3YOYxm2Xw+eS996vcLqXE00H1OyUYBBhlC2O93PiUUISjzgK2zTtlElWZf9Dxe/+lqSIcraf6BLJNHGZHCc8ezalsGxOD3Ly3yoxGRYEvmJ0EpJ2ciqnHQbHq1iuoLPlMYoynv8s4GbZI1moadZ/EhH6PoePp0waCk+Z3F9YolHKGXRzgtAiPh6y+ZlHa70MwmD705D4R48Ilu/i7fnc+e8Lnv4i4Gc/TLizDqWGRUbMsKswTA1lPvp5hBpETKeK092I5GGOERV8+zdKbD0IyAuBLRQVERHWKvjPujRWFjnYLUiCjOJZQm2jxfYnE4rCpOdBnhaEvqB/ktIZC8ww47AjePev1Dk9SNl7loKw2Xwc064KRt2EKDbwezk3vmUznShKDUVmwod/NMZYaNGNJKXc52QvJy806vTxD3x+8B8CmgsW7/5mCUeFfPShottTGAcRShaoTDENFAfbKUlYsP005d59k9Nj7QRLbZPnn8V867fKPHmQEo5SzIrg4RMfKQXOYsbWM4OHH2d866cp733bIowMHm+ldPYT2jcdkl7OdJDijSVhbhN7KXFq8vjTjPayyZOHOW6SMDwVPPiRR+FZVJbKuDJCSnveVRNNc/xxRpQZTHoJaSKZdBO2HkpW14Cy4OSZpGkklJdtkrDg/Q8sHj+QDPsFJ4cSfy3l6FnE4LGH70H4MKMoFNOp4vhY18aPDxSRkxE88bHfWSAMFZN+RHmxTBAIsjCnc1wQDgv6pzn9nsXhZsKHj4bc+KBFkFgMOxmjScrtb9VZeUtD3ZtPJe98UDAcmHijlFpVcLSZYxs2u9sFK0WHG9++yZOHJbq7KdZ0D1vUMUIPpVY52klIxyH3vlujWbKxHWiaBUbLwksSnYILgWnoevzzTyJWbzsEvuKzf7dDswFL37/Nf/q3AUHPxajlDAcmG7cM/KkkmKScbkfkeZXnDzLqbYvnn4R0BiaDvqT7PMS4W8WbFJhFSrsNW/2ChohYWnLpnIBpCm7esUjigkk35eNfODgiQErJZFwQegGdtsV+rEi9jKefpUxGOSc7EbXlEntbGYPTlM5BwuJGiaqEH/9JwFojpNWqkkQ5cSypNUy8qWT3acLbNw0MafPg45xG08IbKIJAMB4UJB8FVC2bqLBxaxJZ5LOyz68uP/9GBgNFnJH6KcdbGcaoTLNlYhz16ezD4rfb9D/cw/o7CwSdmLJrsf00Jk5SqpZicBrQWC7RO4nxt/rkm13+6v/lA564AhmnPPrxhBUVc9iZ4gxLrK5aPP5hxkIbTD/n6KMevbUOt2/f0LB2x6c3tGjmMcnBUzbW7rH1f/uY/M59uih6qkT9fcHBUZm852Hdtdl5ELA8fMbJ45tkoxZ/8v8x+e2/UWXSmWJIi9X7GpKcHEREaI3f3olgkEbcbMCf/r/6KL/gp/85YOFek08+ShntT7Bti/DJgFjW8U6mTE8ryEwx7EZYpx3iWLHzMKIyNPF7CaOpSzmUbH/qk2QCr5Mx6eWUnCqJUcI78bEKGOz7mAsN+h1FMEpYfHeRaeRwsJ3y4CcJC4sNajcgCBTbH09Y+Z2ccuoxSCqs5QXPHmaEWcLdG4I4LFDZmH3PIu/F5EWF/ik0y4JpKEhiiffJkKzcIgoLpgU8fxjyV97JKLXKHG9nPBIZJX9MJzZZWLbwI4ug7xOKKivNnN3HEU/uSJSUbD7OSDpDxl7Bjbtv8/xHPXxRIxok1FctZBCQN0r0nvQJvRqOTJF7R6TNFocDh0xEFIXig/cyxmnBqCdhdZnjrYQHP0+594FLNI5JJzFTK2WYlRgPJZ/9v59jtNd4+POctTsOvbHJdAJlVzEdpPQaFs2iwHZNpr0Qtx9SUvp6HO3l+GOoNkz2H3ts/OYyE6OFuzWh9N4dijzg5DDhXiIYPB+RllvsPE357C9Sxt2EcegwOolZaxk68/9FStXN+OgHPivvtBmOoLWq5aF73YK8gOOdiHFX0FpTrK2bpJmBNzR07X2QEXVTJv2MwaEO9sZjWLlpEHk5ahrzfMti8VaV/vaEiW/hGilhYLLzNOHf/k8TOlsJ3sjm0U9D4n5KJB3ENOWnfzRh0DfJJxmLVZM0yli5U6E3zBDSIg6h/3yAyJtEsSSapDjOTBBGGEzGCscqyKTJwbOYXldTfnvdMvEkZtRLCNMysZ+z+TDhzncsYi/nYCflnXcNtvdDFpoF/a7uihjsJ4x6OYaA1E8xlIVpap2GJ49zKqcplqO7AJ4/VHzrNy2efqxLBVFQ0NlPmQwK/E5I5CsefSYxBPT7CtOGcRjx8N9O+R/+oeL4MIexR4UKhlCkQcr2E4tkHBOHGQKT7a0M/zgntRKErUm8J/s5wSjj2WcBKF3CkIXAdAwOd3KksjSfYSXj6KBAZAmLT0dMpi2GA0U5ESwsSbyhorMf8eSjkA++Y5ClMJgUmCUTvIj3vmXwo32FY0i8YcGt7wvtVAeKcK9PmjT56McJv//XYPsXU44OQZ6c8nhY4v47cOtOhZ/9OGfvFyGhNyPpDXOWViD0FE6kePxJSt3vMurfpFIRHD0OufOORZQmCFPy+EGBP1UsrFmkGRrZGGVkmARjybv3Ba1FE2+YsbcNpswoO7q8+4P/lMI04fZvatLnuJdztJty81uSfDfFG+W0jZznj1OsikM4lew9yWiulRgcJcShQ5ZZnO6GfPA7NZySybMnKTVHsP2px807DbxcEsUZS4uaZDkdZjQXX66e+HXaNzIYSIIMUeTIssPkOOCwKRj+fEJ/ZCFuCJJByPFmmafPJfVFl9TPkIMpkcqp1TNqCw7BKCc6GdIyY/p7IaIoOP7FKf2JQ/quSWDFbD7Y5s/FOitWQsXOGA4y6rIg7IccPpyyeKcGUuB/tkPFHhILkxInTDKL4mTISd4iryVYJZcMi7hUJ947wIsbuMdDhoeLxGEF3855/ufH7O9YTD2H+opHetJnMLTZGguifoBTbmEfbVP+vXWONwOsImXncMKd36jzn/+/U9p7Hep3BKenE8KaSzg0GPczeicZeRKQDEMqrkGcgHcikV6OsB2iWPHpX0yorFR4fpBSa5gc7yT4Y5e7g1i3H8oC25B0jzKyVDIdF6QU7O3BYHfC4kqLXifCyGKMNOHZpksRBwyiCt+9V6b/84TpJMQf5ZyeKOJkgL0gUJlLHickCfSHIb5nQlHCnwTkWx7jk4Laik3mpXgHQ4Q0qOLjBSXSYU6pLPGSEjJL8Pd65MtNOjs50+OQw8cFVi5J/JTeps+4l1GqmJQHxwRr9xl3MvwwYnia8t5363Q2h/SPElS/jxIG/cOEyo0S0SSmWbPIgpBxEFF2XUzX4dGHU5y6g3CWycMUZ6HC+DAglCWg4PiJj3wrIw0lTrlAhZoAZTTgaC/FCw3eXipYv22x+ecBMiswJj0e/nyVZx+HRLHJyq0G40cF5U7GYd/lxo0+Vtli6z8eEKVl+kOAiKRWpn9ssv8kYeKbPHpqUg0DvI0yk3GBUB6OK3j2Uw9VbsL+PsXyEoZjcnKYYCmTJd/n8UNBs+UzfL+JW7c47aTUb7q4Vo5v2Pz8ByH33zV49MMpynYYD02iacr3v1Nl7yjCqUiy/hg/beA0CggyphgYQuKUBZ1D7WiXluDIzxlOQn78RymduMVyU5Bnuobb3ZoSeMBGA9fMSE7HnGKx8yRHnO6TGauE44KqBf1TiX/scXywwMd/NmL1/TZJonj+OMWOPeLxhJNTE/+W4PBBwGiomJxMKRZKfPyjGNsOiVdMogDSSGLVJc8+iemcKChyhqcFtZUKBzs5PVkwDFN+77+3KVf1iOHRUcr02MN/22HrQUjvWFJvWVi2gZGG7G7ntJ2IIDbJdlNGsSBTBqNBQfcE/I+OWLSXGJ/GyIlP9aaN18sZ7fk03quw+TijpRRHTya077RxUphOJP4w5kf/IaFSFQhlkCYFk5HF/k7B4V6GQUE1M0g8iR8m9J6NCMotDCWJhz5v3Sk42HY52EkJfUkYGgw6GWEvJ22vExx1abYNJt2Ye++adHYzUPDks4RaA9IgpntUJzoCL7LwphHTiaJadxCZ5Gg/58knER/9RcD2D/q8//uLPP3pGH9c0OtbrKwbdI4lUQB2oHDGUw5OXLyJIto+4iS+Q6Na4AeCPMqwhcV0UmLQlfijjBiHtSV49HFMkYNRZIwH4DqSSgl2tzI++XHAu29DdzfETAVJrvkmRwcZyZMxrmUz6mVs7Rn89m8pVu6YxD9LMacFSZBzcqClwW2jAKWJkOEkxygrZCbxJpKel3HzrsXJTsTCDZvQy/9bMPDLtDhUpJt7ZO/fp3sQUUgwBinYLoN+Rs0x2P2zXTr7DsXv3kV6PmU7JZxK6O+jfvsWk0FIHijywOFwO6V/lCL8lIFfUHdNhJ3jHRakG8tImbNwQ7Hf8akIh+6Jbp9y6ilpr6B7GBNUKtSVR2FPsY2c06gMNgSnUwanDaoNE6+fInodgtJtxhNB8osJU9Ok/p0W3iDF70um3YLaokvpJGX7UUi80iTte0QVm3CsiDzNID96nJPlDqNeTjKOkNOQrcM2uSHJ0phoELH/2NYbRxgwOUlQwqSa5BQqJY8LVORRbrlMniRMPcFoUFDYDusi42hSZTJWRHtd0nFMYpSJY8VkIDgZRNx6H46f5VRKitjLGTwbc6c+wlfLpErQ7wlMcuJQkStB7OX4p1NOdkKs5QVqp8csr73F4x9NWb7psv/Qx27UEElKgY0/yPDGGQPHwiwbEMfkmBhJzMpahfHWhFxV8cKILjF+ZBONU4ooxRI5p4cpIlccPp3SP/CII4NOR7ERhgTd55TXVkiSgjhUtBuSMJJUF23Kdk6Sa7GXo15E3ck4bRksl3OKLEBmNQY93aI12JmS1xe0YNNY1zMtG9K+h+8rgq2A+q0Ge9sF9RsSW+REgYl35JOHGaPPPP7qXwM1GeuMNxWcPIvpHiYUmcHpfgnbA+s053RSZtRwSYcF5WjMOBU8eSj53XcVRZzpoVU5pE4VfxripCknTzLCaQnXFFAogihj+4lHdeDROV3C81P8UYGdR9gLYw63F6jf9PhoUKJesTj8dEQStVCdlLwQ9D8+onaSMB3VqS2DMkx2nsX8zm9KAllicDRiZaHgcKKIZIxjGgRezPGOg+sKnn0Sc/zM56//nWV6P8/pHsZMJi6REdGuCHrHKc2KIu5M8SKX0kLK7/x+iYMPE6bPfbAtpsMMzywwaopWTTDpxohMsvMooH8Yc/t7Jp5X4I0LTh+PiQ+6hLJCt1siOE1IvAgzifG8gjgy8AY5cQJRJEgz3ZP+8MOIg10LlcO4L1nyMg4/m+BUTJIwg9+v8+P/GOO4NqVSQdAN2XuYYZUMorGiXJcUUuH5ijCK2OvuI5eWqYmInqcwbZOdRxGGJQh8RX4QMu6kuFIRlyX5KKXIJFkk6Q0SMiOiXDeRhwE3rT7xxGXyyR47/QZrb5cp2yVOdhOSSJLEYKuE3sjCKitUGOAdT+k1TNINUKaFmE6pJTG7yQ2efZYReym7zxW15ZSTrYw80217Io3J9o8pffsW+9s5a098jcTUCkZDRRRJ/FHO1uOcfmzhjzPab1dZNiz2H3jc3qjy9Bcx+bRgcc3iZDOnf5gSFTart0uMRiGCgiA2aFkJR7FLY8Ul7adYZkgU2YQ5GFlOOCp4/kxy+5bCKhnUy5JRJ2X7UYxwXWouDPYjVMshrsGnP0uJpylhZFJxMva2DUzLIMsFnZ0Yp2JjKkWcSPK4IEsFk47WFQgLiSkkcSw4euJRKiuefwyTtEoa5OSuiWUrHnyqUKWcv/1/Mni2n7Kw5jId5tx461fjF7+2AsXu7i5/7+/9Pe7evUu5XObtt9/mD//wD0lfJef2S7IsK7BKJsNdn0k/I/NTvNOIcTdl9LSPKwOm+xP8YcLJR8fEfo6MMqwshDzD8xSTHY/ucUY0jNj+aEhv4hD3JqTKJp0mpE93KBDIIKZzkDA89HBJyMtVkv6EzacF/+H/PuSzH05ZXDLI7Ar9Xs7RQcFENZjKKvHQpx512P4kYLXmk0U5FSKaDUFebhDsDhFxSDSImHiCqBdSAA9+HOAPEuJRjAoTnHiCc7KH6XuMuzGnR5IwAFF1dEdFNwEhmB55jE5CslQhhCKYaKJUPk2p1SAd+wz2Iib7Eyb9DPP5UwJfMe2lTDoxSMiCnEc/niJkxsl2TJHmyDTn9EQSd/V3h6nJ8fMQc9DD8Ebkkylh5mCFU/yxZHQQU15uYFqCMLcxUAgDxs/7pNOEaWiipGJtzaSmpqR+QjCVRH6GMixqLQNvkuPkMfsnNrWWhTfKcVKPVi3FUSnxJMYxEsrDQ44eDPFTG7+rGffuqMuol5PHCSdPJ1hZisxzTrdDwl5INvIRMiVOYMGcsvs8Jhqn/PiPArpimdBuIi0bc9AjHAR0DlM6PZP+TkB3x6ff02zyw82YQSdl82HCcd9icJqRF3DwwwOGJymGKJiGNr2+YNIJOTmB480EkhhVaAnhaVoiLWw2/+IUZdmMTxMCD0olrW8hpeDwwYg0khyzxp0NiTs6Rc3aR7NI4hLjTWHUiUAIVBhhWgIpDFSW400loZeQTBOe/3hCcjpi6ilGxzGHH54wHmU8+jjF6ydMu7rU4E8VRZJRqUqKMMONx7hen8nBlDAWBMOMzl5C1PfZfZYj8pTCC5gMcxCK8d6UcT+nXPg8++EQb6Bby6ySjT+VLNZTRp0UL4AwEWw/i4mOx/S2PYabfbIoY/9xSBqk7D8JOdkKaC3Z2JbC8w28QYFhCGSeUW+bHD0LiTOLNE4Z9XUmF44TsiAHmbP1WUBjo8poqFvXQh+ONyN8DwYdPevEthSyKNjbKXCrNlmQMuwVbP1khEmGP86wiojjg4Ld5xlH+ymRJ3HsgijMCSYFXmITTMEbFhwdZPS2JpTjEXIypXuQkHz6HNOxONxJ2dtMyAqDcBBh9U4ZdmJMVTA8iZGGQRxmRNOc4VhLMD//NMYb5aSxIvVTglHC4bMQ4ohK3eBwMyTKDF3TzsAyC0yhICvo7iZEEYwHOYl0GSZVlBLsftwn6gXsbRd6HxhLNp/kTFWdZJqgRmO2P+oTDhNOdmK8cY5dMjjdzwgmOTmCnX2TB59I4kmM50u2nuYMn3bpn2ScHmRkGYz7BVEsCcdaz6PfU/RPc4pckqR6+Jw/lYSJIK00QEEWS6K4YNLPOdqKyVP4yV9keFMY9gt+8aMQQyhaCxaGrdssAy/HG+aMOgm2DcEURj3J3p5k65OAOJL0T3KUEgSDmCwqiCLJJz/w6Hcko16OaStM22A8zImigslUsfMgJI4LRJ4Q+loorhCCki0Z9nKOd2Ie/zz4WsZlv659bcjAkydPkFLyr//1v+add97hwYMH/P2///cJgoB/+S//5df1s69lo15BXqqQbfcJ8hWi0zGeL3BFCtMJSe+EftdEFhnB0QTSnOpiQi8uYYiUo+0INczJRylNOyY77uOnS9SHY5yNRYJYwFSiygKrSBHbW0zNBRJcbNsg8RTpNCYfe/TqFYxhn3EB/qMAu1ZAbmDnEc4kocmEw+MW3tsGTu4T4ZJ7PmURk/dPCSpLVFYiqApSafDeuzY7u4rhcYSRZCQjj3VjQG4sIJVJuSyYepKgF+AaFpOdTBOO7ApyMmZaGFSrPs1ph2c/rLO6pJgOKtzcMBidGsSJZCXr8Xy8hJkb+NsRDHwCt0kYCYQjWQlOUUtVxmOTcJqThSlBkmGXFXkBpitQaUq5FJFMpyR9GxmaJLaBP4wojw6o3nyf2NOCL0V/RD4J6NnL4NocHSsqjYyFPCcNM5IkopJNCXyL9lqdeBLiT3LMccI4EWzcKFFJeuzsmVAxGHWrrG5YiDxGjqZEocC2Hex4QklF5FJRBAX5KMW0Uogy3GoZZUHSmSBXm4TdiCCW2Coikw5CKDqf9UmnEW5ikiQJTKbIRpO4cCm1SgRbAU9+NkUZFfJMMj70Of2PfdacCG8o8CYFozjjJyLASyyKicTrDlGVKt5pgtU0AEnipZQXC/Io42APfKoYUURhNZh0PEzHpohiDrYi1ksW0yOPwq5hSKl1W32fKBWUk4xhN6U4yUjiFfzIZqlqQJ5hygw/qhF6EmsUUGlaeCNFbkT0F1dgL6Ndk1iDDiNrg+aiIj0ZcJoUBJUpRWiTRZLuc5+SaRCPJbFQDJ0NDNsAQ7L/NKCUxZyeOiTTFC+LmXYhabcQYU5eNUnGAakQyFwxHaWU6g5xZhL4KVmYg2ljqII4KEhNiRMMcCYDRnaTWJl0tgxUnpMfHzK8fZ+OVyGLJfXKTP3zqIO84dLbKchzhZknFLHF5CTAlDlpkiJche9rwTHbGxPkLtaiIhwlrGyYDEY5w57EUhkjz6QIMta/a9JaUIyGOftPUpymSxKB7cLgOGJ1w2XzScTxLihhYBiCzl6MYQgGQwXtHFMYxFGK2apRPNvDz+sQpCihkHlOOIGil1Ipe5hZjmUqyiIkDXLKDYeoG2JWbJJQUW64GEcJp3spoefw+IcD8mqO57VYuO2glOToSYDvKz1EyFRMOyaT05RqZmCmEifLdGtna5FhLDBtg+NPRsgCJobN0z8e4rkLJKHEEAUPfuSRRgWnuzGVxRbDbobXVYj3SvSPE0aTEa5ZsH9aIh6GuEKSZQZ+L6JVg6P9nCTIGaWSB382JpImqeFQ9At+9ucRyzcsEi9jwUnJI0EaSUIkzqqFa5pkHiAVWZjhjRW7zyJCD1QimfQCUj9j0oO//r9TPPzEIvJjkkiy0DI53c1IRxFJxaJzoDjeAin0zIYiSel3HcqOoMgsbCtj0FE8/SSkSBSnT3UL78lRgZULQCHjDDyJkevOC5GBW1cUacHWpz5HOwnVpoFT+XIjw7+MfW3BwB/8wR/wB3/wB/P/f+/ePZ4+fcq/+lf/6lceDDRqkv0E/BCiJCOOh0xHkmZZoQYjUm+IPZZYRk5iV8lzQWbWyB2b3JDke6dEQYFrmpzGbd7PfKxehpmHLBlDjMoS08SgMCzSQUBpOqXfq1N1JFEMyTRh+vyEW+2Qx8+XaK+kJEbBcGxwy/UIC4ciKxAqx4x9sEIOt21yL0ZaFsPjFDezILexU50xunZGqhwcV4va5MoijWKKkYewtW69sE3iICcY5pTCMYlXJulOiXIHrynIPQNlpATDhMVJh3FcorK6iD0+IV9eIEot8uddlld9wlGDQZBQtz2EqpKME0yrilVxsBJF5CdsP4RbYoLMc/I4Jlc5pl3GNDPcNKQZnHDqC8aHU2xpIrKMLDWRWUSyeUwxLuMPEsp+F9+XJEWCMlwWoyMC20Xu+ATdmOqGwCkJPGmAa9M9LUgmGf9/9v7jybIsz+/EPkde/fRz7R4eOjIys1KUrhZT3WiAkMMZI8EFV6AZFljgH8AOO2ywww4b/AW0WdBoxsGMgWwOAKLF9LQo0dVVlTp0uHrqqiO4uNFZKAwADhbdBQI4Zs/M3fz5e1ece85PfEXiIdmt8aTs1oHOTkh2K15/tuPBKPDy4wYTO+qYwHqNCxXCd4y4ZsMBm5Vj2T9BBc9rchbLoaTee8n6dSC2K3oSnj9ztF7jvaPZ9Li1x7mWOlRUfU8ksq1BRcfrH1/hJgmJdMibFc2rns2BGTwOugQhe37yuzckUrHdRepti+4CWytIpCLLBb3X4B1lWHP1LGOTzZj3V2xaRbp+jTKHCB/QKhK15mVdIA3crGF30QzKl1Zi6jU//RNPtZeTZoGXLwLbuEYlGukaXl6MiCHQbB1KwXYDedWzXXt2Xce1rxEhod7CppL0bTdk025HUyf0jcNurmgddDLlqgNrDUtzxWVdIpRgt4kIGQdNA1PSbzqataPyA41Py4BOI8H39LXncgWLW56Pv7dCacGzT1vOHyuu17CNHdZ1gylY7ej7hpdfSHwfKPobnvxwTahbYt8go2B5lPLJH0dcGCogout4+pFmu1LsKk2/6xBGkxWSq+c9250hCYNS6G7rYeNY3Xh2r3ZYZXl91ZGOB92G0UVD+8kWyOhqh84Nro10DDSy15/v6C9r+pXG7xqUqlhtFcuZAy3xPmJkT9h1fH6VIGNC8+KG1Hp2a89mt2P1NJJLjXjxnCRxtOMRrz/b0dU9s6OE5iJQrzy+EXz8xzXBCeo+gIDNpWcSLrjY5QSxJVlU3LxqaXuoo8XuNty8NDSrFikzkibgX2xoWoExgi8+7pgeSV4/cSzvFmxeC4IAIz0vriLj+hUviwTSjMsXnskocvnCYaXH1ZHtjWf7YoteaJ7cGE6bTwjjGdeXoEPD+irQrxtE19KhufiiZttIbKXZ9YbWdeRZJDpHmsHucsf2KkP1jhdCsO56ApJd26EERCnZvKx5falJQo3VntFEEhlkzV9/1pDoQBCS7TZy/dqjhMN1ilefNtx82rB/J2MjNKrfsXrZYg40QSloevogWb3qkFGxWTvmc9isPLIL0PdoGVBdJDeC9ec7otKoesvpg4wnH3k2a8G2FqTZLy4Y+HPlMdzc3DCbzf6df2/bltVq9XOvP4vhfARj2cWUaf2c1cuWVHiCG4xs6pAQEKz7BL26wHWB11tDKVu2rWK/WOHbnpHasnEJ2x8/xdUdr+MSrQYwyhecsNoZwnaDJGAuXuGdZzRPSLoVV5fgtzXF9Rdcf3LD+vtfsHMG0dSECFsKJvGKECVZfUl9XTPtnqOlg6bhYpOw0WPS+oK4q7m6jJBootTol0/Y7CQqdFi/xemUVyxAKj77g2vq1ztsJihWL4ghMvYXtM6gEsV095TQR3onuV4pnmzH+AA7r6mbiOp2OC+gbRntXgxUql1P7D0i9ijfspMFcbNFvHzJtgVdZGSuQUdP7Q2j0pFbh9jVw0OyWbPnXuCCQKeCHsMXqzEmOK4uemT0rOqE3XVH3Urm/oKmlWxeNbROwvoGlSWQaOrPXw3yxLsWqSVSRRaHCddxxMsnPdq1xBcv6J5eYqRDKI3vepJ+Q3SepofCrehrB1Ji2h3aNbg6EHtHHVOk6+mcpL6qiUqyuXa4bhCL8bUj5hkWjw+QdmtchFd+jvYNH70asXrR4Na7gYfebnHSUGaRqBUmkbCr8a1HNTXNusXd7KivO3YvVtQv17SNZ29PEPue5rohogjbHZcXA58+NB3FSCO14OUXg+KOHRd028Cn319hhEP7Fttt2GwEr3cZ3abl4ulQOg59RDU7djcd0QWMZpjXwSHajusrwHW4qzWqrwfK2IsOZRWucXS1Z3UV0dIj+m5Q74wWkVjcridPPH3bE+uaJBv67p2XRGuRiaa9aQenOi2QWhG9w61qhLVUVeTzz6C+6nAu0taO6wvP7uWW5mJLf7PhVXZKYiN9F9hdNPRNJMRI6Htc6xHeE5p+MAbSkq72LPtnpNqxXgu2zzesLx1NJ2k6iQwO3zrs1QtWjaGtHbtVh+s9V59viL3n8pM18eKSfueIu5qnP9kRQkCIQV1Mxo5E+WGDWkc++aMV7arh5qIDH7i89iRp5PJZR9sJrp52JMoBkb4X3HQpdbAYLbh47tk9ucatdvRRYpsVphukx1dXYRA4aj3CO6RrcD10XuG7jnrn6XtBHVO2LkEYg15dc/F5Tb2NbC47lAQlxRuZVM9Wj3EB1s+2FBNN22k6J5npNaxv0DJQjBVXF5EXH20RbcPlLqV+dg1FweWV5OJJy8vPO0Ld8fqn66GFKAS76x6p4LrJaOtAv9nRbGFTK+ovLlDC452gqx2hd3SbjuCh2zhWrxqCD2xryer5Dpwn9JGrK9i87uhXDc2moxeWuhlEjl5+3rB+0XDzcrgWAfj4j4f7ENqexaFhW6vh2faR3eaNoqOLPPuopsgCrovUVztar3j51NNseuwkoXeCNAPfObQObF8PaoXeQ+sVRRK5vAjEPuBbP8hwh8irz1vanWd95SnGvzgY359bMPDTn/6Uf/SP/hF/5+/8nX/ne/7BP/gHjMfjL1+np6d/Jsdy+aTjypf4ILApFM0rtFWE1RYlHa0tCT7QNQLlOmpR0l9vedGNsVWCoaMyNYYOGSOXa43eDrLFq5tAv2pwNzuEa5maLRfZCTQNTa/YyYJCbNmtAld9yTxcwOtXZH6D9D2u7lhde3wbsDpQpxNMaKEZPM6DtEy5wjWOlZohuhbpevraoUVkepIj6pr1TqDl4CXSJSVxW5OuXtJebmk2Hh1ajNuRG8fI1NxQ4rDsgkVtLmm95mqjePaFo183XP50BW2P7BqubiTi5hplBKGPzHZP8C4imxa9vka6QZvf0jK++YI6JlTuiqDAtCvKxJMXgis5JkSBDS256fBRMzMbOqcHG1CjUBeX7HaeJlgaWRC0RdPRdgrfOYwKtNcdSX+D27WImzXC96R0g+539Dx74mhudojdCt8FUtkho4fUsukMfTHCphC7lipuIEQUAZUovLFsW41yDbFt6KKmfrklSSGVjiqPuMsVWgi2r3e4zlM7S2VrIhHTb3G144tPPBdtgW87NlcNZnPNNmTEpicvBOVU4T2Yq9eI6JDeUdmaREWQkt55pmrN5PozpOu5+mxL2yuajePmKtDcdPz0Bx03G4WoGzLZ0F42rBuF0JKkNLx4Gbi58Li0wPotSkVakVCTkF69oG97dpeD+MyrXc52G1BWoqwiWDNIxvYO5yClIzqPFT3Kd1zVCVEofJC0nSC0PUkcpKGn8YJ+F9ClRdtB7jprV8i2I8siV09rolSstorDc4t0jl4kJKojoJAE1s+2ICKKnpfPOnwXkVoxc6/ZXvfI0FP0K9p1j7M5IQyGRLvN4KK5cxbXBZwPKKvwvaffNogY6WtPurskSQanRJ0ILj7fYZoNfVRYEzGxRey27K4H34B4tSbbvKL+5ILNZUdoG2buNdq3iBiGitt1hwyeTDZ0Vw1Z6jF6kP2VweMbT7PqqTeB1lvaOiCamusXjuunW7w00LZsdgrfBTbJDDJLfbFBOIdudySJoq8m1GZEs27pLrcYNXgHGO0Rdf0myJX0N4NUeZQKraBuJBDpVzXXTzeEbUN97UitYzwZqIISD4nG4Oh3PWkSkQz3sK09K5fhvEDJyMtPtlx9saUXCX0TWG01mx1456mfr/BBIITgxec9Xkjajed1k3P1ytE7yW7jqFeOvH6FD5Kr5wN2RYRI1wR8N3gZp2kAP0hNXz7voCyh99C2+G4wwxJWIWOk23j6qNlcOUQMEAMOyW7tqS8brr/Y8vzTHikkqrDoZDA2kjEgrEKFnt3GEWNAOEc1VpR7Obtr96W1c99DcIHNRkDwQ0Cw69CxJ/qAQ+GVoak93eaNF0Hr8EIxWUi2ly2jmcak4kuL8V/E+A8OBv7+3//7CCH+va/f/d3f/bn/efr0KX/5L/9l/ubf/Jv87b/9t/+dn/33/t7f4+bm5svX559//h9+Rv8bxvqyo62HzWtmrtnFDNuv8W1Ptr0mInFRYk2g9gnCdxADF68COpE0rzbYdo3qWmKe0FAggqcLGu8FWdhQ+Bvoe+rXG0rrKFSDevWKj/7YERzobsvHr0pWjMipUcFjLFxsM252lr53COdpbEESapL1JTr07Lyh2TjGtiYyoHZjO4DNtIQf/X+u8T0o1+GkRrhAvYu4XU+TjCEOSm61HnEdKxa7z5jFS3xURCmIQiE3G6JS1C4hWV/SkLK6iQQph8AkyyjcasjmgmMnc0Tfk4uaqn5Fbh262ZG5DbWz6JdPEYlGRVCJQe42mDiYAG3MBGKg1ynbTaQOlkZmKBnRVcLVSrBeSYQ1Q0bTKawVCKNJ6it0u8OKDnlzQ//qGhk6km6L7FoS6chFy9UXO+prR0HL9mJL3Db0WNYXnuiHMvFcr9FKolTkUszYXreUuUcyCOVoevQnH9FuPc55fNMz6i9QiwmyHzLHsr3E2Eh9M1D/rHJkokFrARJ6U+DrhnobGMk10vUgYHfdEaKkyANJs0IGh5E9sW7QdHhlaW4cnRPI0AARnKeTA4fde9i1itdPHbtGMTJb6osdvu3wu8ErQVmJsAm6b2jLGVs1YmQ7EtERW0/vBaLvuHjSolXkZqXxXhEDyBjY7WCfF9hEEoVEm4jvPVEb2Az+B5ls2PUKlKRpAso76HpeNFO8VtQxHUx95AjhHVr0JP2Km40kpaFZdcTeYUqNR1L1V6SyRYlAunlN8/yC6x+/pr8ahIUQEI1hmu8QCERwbIo9UBrfOAgwOsy57lKeiGPWtUZFT5oLMIrXn9YkuUYqWOkZBGh3AqE17aqj6wJOWETbIkKgF4amV+gyYcFrGm9xu4a2BdU0xMSifI/SoF1L8GC7HSr0+M4jRUC4nvbVij5IovPcvGwJEYx0KNfRdIL6YoO+uaDxGiMdrhnU97pesm01sXGU10/A94yrHjtKCAHyzSXj3TOUjnRBUpUCG1uSyrBdBax0RBSH/guEEtTe0K47hPP0qw7XORSBsGsQShIiyEShtOKiTvE+oqXDB0EMQ3m9DRapoH+5IrY9z25SMBKPYPNyy7UvEUbTxIQkCbimp193qDJBxoBvI1KAzDTBBTAaawbL6tXl4H4aQxj8YYRCJZoyB/qe3TaS+w2bTrPtLSYTdDs3zIsgSXLBfE+zvxfAO9qdQ4Qhs9epom8jSkVC2w7YJgxZMqiEKhWIzmOsZr2VRBQKjzIC7zxKBLarwcMk+Ei3cZhxRmCoZCWJgBBxXhC8wBYJKEVUCp0p0jQONu9PepqVY7UVIOSXnjC/iPEfHAz83b/7d/nhD3/473298847X77/6dOn/Nqv/Rrf/va3+cf/+B//ez87SRJGo9HPvf4sxuJAcfG8ZVvOsKEjCzX+TQZy4zOa2nPFjDwXWOmoMo8TKbve0ATDptHsdU+RoWeU9myTCVp6umi48GPWFz2tsKi+oQkJI7sjuIgJLVdtRjKxEAK7nSDsGnqdspEFRnlUnuDagHHN4OJlsmEzEWDo6FU2aK1PJxhX03uJLQSLcAEE/OUVvbAELzHtBt90bF3KdSxp+wFdjtE06QRchL5D+Y5NI/A247XaY+yvGBTXPZ0XSOcwosO3DiUim1ajXEvjElzUtDJDJ5J8JMjFDpVZpO8ZhWtqpynaSwIaLT2TpeUq2+f6eUffCbJMsBUFn/RH1Log9h21yBixZlw64ram7jShrCB4fB/xxtJGi0kUaXOF2w0iKsEJMhsQRKxoKcKGxHh0V3PTZTgp8UHQd4GbnebFKwjOExqHJDJSK1Rw7MolwrUUq2d0WHwU2Ojwux4VPcr37F5vEVrhux4YzGNSv6VtBW7b44JmNFUoIzBuYCn4EImNp/aWXbXHLiYk1tHc1DS9wq0bemEGGWhbsO4MoXX0KPooaRpFiAqCp+8cUkgcGh07CJ6wqZFlhtCSJigwmkn7HHrP9fOa0UKzvom82I2GDW+2h53m9NuOupH4TUvXRZajlhAivUpxnUNr6Nsh+wsRhBZsX9eEXccmmaBFD1LQdLDLZiAliXZoFTAm0nmwqaTfBaSQbGoxKCQqj+o7spQB7i7g+iqgtSLEiEtL0iwSup5sZGhf7pBdS2x7tApD5UhCqgJJEpCJom0FzaZD7bYE57l+1SGMIQZB7TUiRqzqCcIgvYMQMBZClgMRqQL9ph3sofUYl6ToeoUxEr25waHxwkDT4b1AqmE+KdeQLSts3CEFIEBlhnY7GHLFGBFdR5YGYpTQe6IPrG4ESWEIbcBsbyBN0UpQ2I6uDojesV1HdiuPF4YGQ99FLpmClKyve7qblqYFkRkiEZ0pCILtymFjQyJ7VFNjRUdWSUIXkEYS0hR8j5cKgRtMcgTEJpLOM5CCKgtkGXTZiNA62ssGYTXCKNZhhDMp7cZR1S/pvUD1PbuVQ1rFC7+kkRU61fReYOkwmcT1gV2jsNrhXCR2LRsKXvg5fdRDuzN4mnrw7LBqcFZVWhCVILYdRg52v4kKpDZClmCswGoBTYPvu+F/jSfWHcQBtK1Ci4+wuRwkiqUS1GtPiGIwPdoI0kKjjCS6wVugbwLRGqSWrNaS2PnBJ2PdvTHLGgJmpKCTA+Ww3Q0BnHxz3EJCt2rxIZLlCpkYUuV5/klL3QxrkLGC8fz/j9oEi8WCR48e/XtfaZoC8OTJE7773e/y4Ycf8k/+yT9B/gLtGf/1IVVgu3IYGfHSoJXHuJYk1Ijg2NUR1dRkU8tSXKATya5TZHFLvfasmgE9rrVEdI5kf4TUAleUPKsnbK4dvUxpdoFNa4gIGjFE1lKBWm1YmBtsLnEeGp3TOgu7ZghLpRlK/14wMkPPf0fK1tnBDMYHmmQGLnItpoQAjZOMCk/sPUiBcB07SpQEaRTRJDQkxBBZHCeIzKILg7MZrS5odpLLMKUTKUZ4rqsTDJ5sd4WKPT5qkm5DsJbrJmFbzGiLMRfMEXiMiVSqJlE9vUrZkbHTI+pQEKJk5K4IWc442RGkwXlBJzN8gDiZDDgDQKd68JgOgWx3RbF6zlQMiGVpNFIJdmaKYpBflr4n+MHCeKLXmEQiRCQi6ZMSghts1yN4r5HBY3c3bFxK7xT4SCI6NjtJaT1SCfJKoroOtjWtTHnJkhpDLw27dIKJDdJ7fO/QRoPvSXWPl4a43uEibERJUlrW2T5ZrNF9y26nkL4jRMFLfUyrSvpO4lvH60932HqFC4JOJOgYca0g6ISgoJI1KpXsZI5icLOLQqCqHEHE6RTBoGSX+Rrqlqy5ItNDqdILyfggxbgG4QcDm91ucMpMcjXQOL0FBPrmgoAky0B2NV030AwrNghAh560viJGgUhTUAqdCJCWqBQhSMo8Yl3DbBIRPuBqx/aqpdlGbGhxXlKOFUJKvAtI11MuUnonwUikUpRyi3CRZvfGJCjEIXt1HXG7QSqJlJGqvyS3HR7NRk8GZ784mPp0a4cLgj4IXBNRqUH0g7FPajxO6MFJ1OrBICuXuD6iRSCalJCPcI3DjAw3rUWrgbIpxFBy9toS3dDK8UKhCMjYI4n0ncc5iQR09OjYk2oHfYeUHltotp3GeVivh0qLcA6MQlYFMUlJ/YamhnWfAbCTY1wUgw200YQwZJ4xRJw3tM7gak9iA20j0DJwt3gxgCrbnqyUOG2xhRmCpN7jhcR1HnxAGUnnI2G1RhuBqztUlqAQSDz1uqdrI20vCcairOL6wnHlS5JUIJRid+PYuYRtb0nNwLkXQuB2Le1uaNvoIkUXBb6LFCnE3hHaQF87JqPIjCucTilygVKSTqXoROGaQXIY55mwQtSbwU679+zJC+biFa52CDm0t/CBeu2wqRp69XWPbwN/ag6TpJJuN0g/Kxm5eB3p657EDItGvfPYTJAk0Mh0qHq9CfBC05BYMShM7vwQlDC4SHovCVEijUSbN4qXrifLBOudoA4GKSLNbjCHa6ImIKj/dK7/Asaf2e789OlTvvvd73J6eso//If/kFevXvH8+XOeP3/+Z/WV/5uHlZDqIcPz0mCtIHFbokmQfcdmq+h0xpgbfJojt2sCkhjkUMpyjus4IskkNonEIOi9IpGB3gm0a5CJIhU9S/GatgcxHVHHjOAjlb+iCCsmu+esxZits7Qekn4LvWNwMQ3kbLG+RWSWIDUWR9dL0lITbIKXmtaOiBfX2NAyDtd0Ww/Oo11DQODGs6H3F9/02/SwkQRlsJliJysu4wQTW9JU0IgSFwUiS1iG15RxRSI6nDSM5JbeK9rLGm01jUjZVXtsGDMqI0oE9GzM+jpiSkNtKi70nI/FHcQbW9bmk5dcXkEwltdyMVioFhVBWDyaEWvSaUqaMSyywSGUBOdIRpbOSfzhEUUhKA5GiNSiY0/jLUm7IuoBEJgxOAQqJZG+Z2J3ROdImjWZGNTO+mhomoh3gl06YR4vyFPP1GzRdNzoGUFbskoDilYMPhBNb7D0dEFRNwKjQWlJK3L6JCdqQ9NJrG9Y792htwUuCrpmyNCkMfgukFWDqmR73bG93FGyQfkWj0bFfiiPJ5HF9tnwpHYD0l4ZSfO6QSWKammgGwRrEtmQ+RWTrCHRMG+e4IJAyUC/c7gONrLEN8M87RxsG8PVZSR6R0OG0GJA16eWRDqEC8S2xYqOKznFmIByPWloiMbQ95J1tkeP5UZPhzlad+hJgtSSrpgggERH+q2jb3pspvAI9k8Tdvmc6yuQRlIUg4mMNAoVHdd1jmscInhE16J1oPIriuun6HbHeJGQ6UC/qonbAW0eQiQi0Gqw/bU24lwACVFrdD5UrYzfkihHGxPCwRExy5AEouuQvkcrjxARoyH3G4iCoFKEEOhmjTLg0AgxlAG8NIg0RfcdR90TiIGujqR+Q5Jrog/gB/CiEgEXNSg1bIyZYsoVtkzA9Wx9BnmGCg6VWtqtQ0aPNJK60/RxKLFbFRDGIqxCFClRDaX06ALSqCHLlxqxmLOnXqOMRCYGl+a8dBPCeISWgVaXWNEjZcTmkuAibteR2MjEXTFeaKQd8EqEiNsO9zBKiesHdosThjwJ1F4jgdVWEZBsd56NL0BqTFdjZU9EcH0ZaVWGsBJXd4TGkSTDOtXvHNd6gRBQzjXCaIRWyFQT+8Bu5fBRMEpqSjZ06xYtHHl9Rba5QMSBPdB2Qz+/qQcRJ2EEsfP0/QCGRUjamxYzSogRlBzEwPyuAyJJEsEYtFGDwZYTXL4OEIcNH+ewyYDtUlpQpj2jwhH7oUogjURphc0kifLoOGAReiwhCAQREUAmBjrPZC7JfoHeBH9m3/xP/+k/5Sc/+Qn/7J/9M05OTjg8PPzy9YseQYDrwLQ7YjmiGkucNIjgEK4FB0FoWlPQJBOUgG2rkVqSyp6R2uFNxt79MemsJB8NLYbEBgjwVJ8yTRtyv0LMZ3ReoxNLYypUdANq2jumzTN25NSU7LoUJwxJAkaHQeNeGdR2xXIOnS5oneba7jOaazYbqO2YPhqE68nbK9yzl3g99L2j0azEiHHpkb4fvOS7wR53t/aIINDTEictN3JGVkpsKknHlp2ZYsc5Snqi89Qix2SatFT0PaTtFSr09NEijKRVKdFoRJowvr9PDIPoho8KVSRsQ0abjYeNv5phdmuSNIKQaALOK7KpRUiB2m6GzbDKScYahCAvhnJskmtCkqKtIGuvWe6BMylagxRvFlmTkBuPUhEbaibc4NqeQg6od6EFV3oPU2ZoOZRLi1sz4uERpW6oRcEmnZLroUzeYzBW0MiMaDStN0QhaIUlREG9bglBUBQRZBxaJmUKIZDKntppnLYEFJXYci1GuF2HTiUI8Col+IiIIO3QD1UykJhIUhly03EqvkApiF1HGhoyt2HVGkZVxKSGPNZEnTDTG0zoKMOKXGxRbT1gL8oMmg7tG67zQ7zUmETQo+l7cG/6qDEKZN+z6lOsldgcct0R+w7fe3RiMHIw0xKuJRtp7CQF53Fe4rpBqRAhqFeCya2StZ7ilUanBqkE29c9EUlSaNJSsKktzgvSscWYQcNfrm+IXuAC1KRoHVnHgkx11PmCVHUUfo024EIcZGI7wba19E2grQNrNWY6Y+gTC4Fwg8ueSBKs9MzVmi4roR0wHLtVpNy9om88NhGEKEkLRddFVKKZZTtsKsnGahAkGh0SkxSs4SA+GRD8WUmWBlJRI4kk2jOtemSuh5YIQ0ZqRYvUAlNZjA7s7Qnsm1ZHUmqEGio23eWaLhkNG0eegTE0ziCNRCQaHR0+zQhlNQCbE0UssqGnLd9UIcc5z1c5ReIpu2su1gnt+JDWJ0QkInhc0CT1hixx2FKjRxnt2hF8pJxpXAtlJTHzHGsFOjcUC4vUw3EGBtyKkhGUou7UEPgoyFKJLgyqtBADU7Njl07pHXRRY2QkKTVSQGoDMkaC83SNH2h+a4+MnvnMkVqPkYDWRATt6w3b5TlpMWAJXDUBoxFWoxKD0YK6juQjgzKa2YFBWTFggFKBSdSQvUtQqcZaSZRywBfUHmMVsmtp+qGjqo3At0NPf8j4JdoIlIjYzNA1Eb/rcV6QzVOOvjJBjVJMpnGNw/WR3omhnaIUxgiMFZQzS/SeXSO+BCX+IsafWTDwt/7W3yLG+G99/aLHbiMYVYEkjRgd2ZR7bCZHpMpRhwwpPLvJPjtZsjJz5uKCJDaM9hIOixV9Pqacp8TZApVqquaCvIDEBIKELTn0Dl83YBPqRtEkJT2Gwq/o+zfvAfq8ZHt0l8YUNCLBdxGdDOWlJqTUvcbXDUb0tGoIGNTtY9JUYqsEV5TEGOmcIlc9aX3NUX7NtdlDSEnJjhCgkFvoPCkt4/YV0rd4HxFa0aNJzVASrmaabrYcNmY7AGdMblAKxulgvG6Eo+ovUVaRpoNgSiI8pazptj2dykD9rJWyUSNkdPhVzXWfIEPPtOyJWrHuE5w0VDONKDI2dk4UEtfD8siS0ZAXcljcyhxd5cS0RMBAwdt2BKnwOqEJCV3QJMpTJT1CS1ZmTtatsbkknRhknlPHlLYNiCRBJZrpQcLi3gRiZHyUY6xB+ZrOZDiT4csJIjWQFzCbkMQOKwMeg9quEVrQpiPSVND3gny/wKaCbK8k7GpkiHgfsVbiRYrwPfUuUAdLFKASTd9HtqIkao2yltQ4klwyrRwJHYKI3m64ChVpEolKss73WV22IAUIgckNRRERTUtMM0SSEExCKww+Cty6pawiIS2QStLUmr71TOM1KE20BpNr+m6wIbaZxSQRkWXk1iO1xGpoVYrOE2b7msPzbKAeJprRUkOIg+sgcHovxyQKU6bMzkqkcHjnSGfpQLddXSOMwKFIJjnX66E9NA43iDLBZpo+KZiKFU68KYkLBdagJMwXESEVOzVCx57OlEP1p9C0MeFkz5FkiuBBJYokh8lxRmI9d087fFbioqLeeLpOoFQkTSUi9Nh8AHplpYEsJem3bKfHqDxlmjV4k2HGBUhJkUcSG/FBIpVkZecoESlST7E/IptmGO2ZySu6xqODI1EBpSVGeqYzRZIK0lGCLlMCmhAkJtWkb6hmMjNvgnGPLlLWZkaSKXRm2YYMMNhUsHdswQW2lz1ZZTh7kNJ7SZZE3GhMVwc2vaaYKIyIKCKmtDibMNIdi8OUk4c5B0eQ5RJVpITec3g7Y3lWoJQgGSdsa8vLJz1emUEYzEWa646iknibENXQc89GmiyNmFQilKRPC0KaYYxgNDUklUarobLmO48LDF4wfSRGSVtH8pFib+LJ+zUxCILUdC2EXUu2KDCZQiZDomILTbWfIp3DR1Cho1ikQ5ug7snGljSJuB1ILYhKIeWgHZFUCoTEaIE1gWJqwHnMKCOzEEJE41C5ReeWbGzpas94abGFoN5CWlhkYRlNLe99s0RaTUAyGg3fI80AJixmBm0E2UjT9YrOC14+DaxX/wm2Cf5jHm0fcVmGaGpk25AmgbySRKm5lhMuzR7ZomBbKzqdk1SGkBTE+ZI8A0YTitzz9Mpy+MEB2kItSnRXk6QGpRU5Desux+6NsYVi1eWsJ6dDzyjfx5mUHQVlFuiCROUp13JGozPspEDlCa/lnJvZLYI2JPS8Tg4pxpJ8MUJbSXY0xexP6YKhVTm2MJRXz1h1FsoSZSS1ykFKKndDVmrMOCHvbrCx5bCqwShcH5DdFqs9yzNLa0Z0QUN8U3K1gmJq2O3dxkwzNmrMTg7BzdlJQBUZqduQVRozr3AyIVvkiGSI4Kt5QiI9HkkMEOsOOx/hhWBrJpQFKCkJ2nIlpzz41pRtbxmPwPiOYiSRWuJ0gshTfBCoUU5zUeNMRp1O2Y4O2MmS62cdMtHUpkJpRavywVPBOLxOiVkCAoQMQ8ael6zUBBc1/WyPUm5RqURklmSUs1kLVJkxPsjxKGyV02PQrhnaLt0aOymY7VvyZNBPGB3PMFWGKjKsDMTEkJYGRGAnMggBL+wgYWsFQktEnlOMJa2q8EXF+CBFx57R+hmtVyzia0ZihUfT2IpR2tN6S769QBXD4mvcjuUscmOXsFwMcsJ2EH5JZjl9D/26I6YJ+fGUth0qAkIqhBbIzCKNhihJFzl1Gyn2K0xhmUwEUWtEdGSZwMwrtIKLJw0oSbJX4rykmA3d5SANvUmQKpJIx3/1f1oipBrK2J0nsYLrFx3CdbheYLVHxZ7kcMq6TTCZZXxSMb01pk7HbNQUrKUvh/mlLCRWsBw1OKXJSkGHIbEwmlt0qshLwThcDVXAIsVozXTfkhWa7HRJjAqZDFRGZRVBWfCOGVeUU0M2TZgsFdJY0pGmGIPzErHbIRKFLiwyTVm7HJsopPOIPIEsI0kgTyGfWXoMaSaZzAXRvxH/6gTh8ppK14xLR3ezQ6QJxkq8NkRjmUwgqyxkGcIMCHQlQCjwJsXYyNk7I5rrjmbXkzXXQ3/cRIrcI0UEKfBC0ZqcbJIgtQA5GCH5MidmKeMJXHQTLA1aQbVIuHe4YzyVzB7vs2si832FtIqk0pjc0GHo24BKQMjBZ6LOp+ztC0SEJFNEIYlNz3QcKEpD1l5zcSUZjwXlRLN/KNltxcBOAFCS7SpgQo9IDdEN+JpHH6ZkcYtRAZ0pkhT29gKJdMz2B0puOU64Sg9RqUVYjc6HqpchMCoc9D1dHVC+wyQCF6FrPLIw9MIgtWK6sGS5pBgpdJEhVaAcK3qREENAW4WUERLDrYcWnWqk6zm5n5ImDK2UGDk8NayuHfU2YMfpQE1NweaS5UmGzYdKRidTlILXlxHfRvJK0vX/CVYG/mMeDkNZDmCyNFcUY8u+vkJaTU6D0yl2VvK6n9AGjcktNh84oTJ6ZJkQspKrXUYyLUlGKV05pU1GTMXVILmbKhI10E+E1iS5Zn67xKSGPq3oRE4bDCoxxNoRlKJLKlCG0e05IU25yU/Yv53jbUleaNp8QZoJnj8DHwR+NGXy4JBmfkQ/nlNvA80u0IqU0cwQy3KI2qOg1SW6rxktE+wopdrL0O2WmOQUoqVIPW7TgTEklaV3Emk16CFQ2YUMtZxCkNjcIN1g6JOPDek0RY1yWpGwetEiU8PkICH2gcBAmctKjapS+jaiM4OPGmMt+cEEWeVsN4PhR3U84uRWQhiN0KlBiMgmX9DrlL0jw8nZoBrm0xwZHUUp6ZNioE3KN5iOJKNw12SVxqaSC7M/9GdjYNenuGiwqSELG659RV0LXj3p8PfuUywLnMzxWYWNLSYfsoVZukMWKV1ScD06w5QJNleMTIM1jvtfH2HSAd2uS0O6rMjnCTbRuGhwHlo9AWlIaUhzgdISKYbSupiMMUZiCzkg/XeBLhkPVDNRUNoOYyVoSS5bCtPjigmr9IDFgWFeOYxrUL4jFgV370nY2yeZlpg8YVRJNltwtcckkmxesPQvUOmwBBSFYH5o6KPCmYQQFe1NTzZOWZyX5Lpj71ZOW0fGY0mXT7CJIJ2kdN1gZ7y76XBRI11HOjXErGC+rxjtZzz6oCAdafKJxruhKtd1QxkZJagmCuUDpAVilJPPLLe/MaePhmgSOi9xxRiZZ0xPCtzxLbZPrjGhJa8kybQieM/kVoG2b3rYWcDphHxmCEVOvep49GHBaKbZbgPjUSAbyQEUmRt8MSL0jrSyJKnk6jUc3M7poyAzgck8pQ9y0KDINJOlQucJPslJK0FQgnb/hGyakVYSbeXAUskd44VGlBVGR0ZTSWb9QHEzEb/ZEaJkJca4pifbr/AolAgkNpKMDDIEqvEAVpOAMZ5sZFjcniAloCSGnlBOOSlv8HWP1ILXn3UDu6SOBGlRmaUoI9oIZlOJ1vJNUApOaLSK3H8g6BeHlGPF8t1DfBcoRorxdDDr2d5EVKaRiUYpTR/V8PKKxVmC1jCeaCaLgflQVIIkA6MEXT4hSonKLPNjg0kERgxsgTSTEDyqSLBmOE/fC+aTQAiSR4/AJIJJ1TOyDSaVZIVmtEwxexWLs5xmtGS0zFjOI1UeKSeKzg/4hn7bYlJFViqENnRbh001AYMxcP9tQ5aDLRTOwfKkYHZgsXZooU0ngjSJkOac3C+YH1qKUrJdDcZWaa4wuaWsBHkpmUwlRWGwZUI10eSzjGKsKMYSYxWL05yilHgv8J2n6TU31/+lMvDnOtLK4L1AJYpWJyTK028d8yNNm4zIKk0+yTA64pKStS9JdcvBkUK0HUpJmIyod5FdI5BWkMwL1P4CHwTZNCV5fJs4rsjTQO81Mc8oJpak0tSmZFUdoOXAW1WxJy8VxV6FmZXkBxUkKcsjxa3bBqEU5Z6l2s+IQeA6z/hshEuKIdsTFrWc4lRCrTKCzsjGijqf0/VgUz3gA9KCeuUpbcMorkmkp/ZDljWdCto6sDg0HN1JKKeWbJzSF1NuxIT165a6V4QkI0sCXieklWE6FxzeL3n80JOWhkpsKJOWqlKDadBhRVoZ8rFhNDdD+brKaL3CSU25n5JNM1wXCEpx+92S4B3GDP3CXqb4pEDlKYsjy+P3EtJxgjw7ZbdyzM4r9LRCF5ZOZbh8TFkE8mpwumM2Q7sW1ziSwpLePUBPC4I1JL5G+wbfOmTbYo/2iMs90lIz2U8p8kg1lQPoc2yYn4+HSsTkAKEVDSm62zFKema3J+x99QxZpFx81hBd5HKXcng/Z3xUEEyKKBNGh0PmKGOgKAGrSHIxlDuNoLw1Q+UGV4yYqyt0qvFFxfIsRRlJpgNZ4ikzT5pLXFpSFJFqBNr3hKykXKbcfrvEni7ZezhG55ZqImlJMbHlYD9STBRxuUc+sYxmmslSk+SWdJTQuaH/L6QkyyN3H2qKSYKYjRHec/LWiJuVwHcB4R02kYzGkr52dEFSqBaBJM0VZ48KDu9VICUxCNAW4TyJ7NnYGSZXA2tBwd7tlHKqGZWQjlLqWpHlkVW6pLUl6mBJmcPtb+2RHMzpL1dDwIhi7+0FmogZFSDBzjKqeQJlSVoY7CTDpIqHjy3TfYNzkJUSoyVKD6jybG9ElknyeYqal+QjTR8k47Mx6SylbgSyLMhOZ5hUU001HQqpJfu3Uoqx5e0PUhbnFVmlKOeWyytB18LhtONlPWZSeGZLiYkd03Eg2gzhHKkZKGpRSG49SJgdWPJCMr+Vk1eKtgOjJJM9w3hpkUgW7x4SIrgoCVGRFJriIKWbzOmdQqcanSpGs4HxEFCYzDDJe0xhuHrh0VaRVZrpUY7JLVEq+gZEljFbGvKxHcraI8PJ3Yx8aqnmCqUko7FmutDsagM2QxY5VkFSSvZvp5STITvPC0G3bunTEi0Eo4kiG1vqtefhBxlKgc4EJ3cNaa4IvSfRA6VRiZ6KDXJckVWWaiQ5mDlGakcoKl6/dGSVIc0NB0cCe7zH4b2CgxMzYBbyoddvqgEk2K57khTMKBnaNFWKQzHfN4QomS8kDkNaGQ6OFLMjO7ClEkk1VySJJGhNNZEQIvMjy8VlxNc9aakZ7yeMpgprYLMKVFVE6wEAOT3LcV5xfJ5QjQXpNCUC+UijZeDyIjDoR/5ixn+WwcByAbtt5ORcc/UyUC4MfrGHc5rKtAAklSXJBPkipy7mKCU4OtdszJSDM4OYzpkvJVEb9k5TRrcXTB/tUx4UpLlka+YkR3OsDsgyYaMnrHcGPZ8wPy3IRpab4nBQ74qBeVpzei/hrb9yh85ritsH7D+YMhlH0kLhVUpSWBanGcsDjcxT9s4S1lc9mV8NEWfccD29TTCGSSU4PLPo2YjyqOL4lkIdLdEmMJ8JTvQL9g4VUsJokRDbnmBTfOO4/dURNpGUeyluPGW1GSRym02AJEFJgd4bU+iWydzwrb++ZH/ccO+hRo9SzuZbbKFJc0U2TpgdZzQdCCmJSjEaa1aN5e7bGZO9lLwAowXFyYyiGkBNoxHMT3OSSYZrBedfqUhHhrceRbIU7r5XEFCo1LA4TjFWM80aXvgFe/maxa0cCMQ0x0qH0AqbKd7/jQVpoQFJ1JrTW4p27RjNFYf3S5aPl2y8Zb+sSXRESM3sYCjJHr49o5xY7n04GkB5+wdcjc8ZV+DCADD1QWEyycGxJBrLaCSYH1nysaHLxthEUpzOEOMxeTrQrNJCs380COFst4rEStJUsnea4qopeakwp4fcFEdkpqEvJoT5HqMxVDNLWinuf21Kshx4+W66x3gUyS186y+OOL6XYbRAFhm9F6A15Ugh51OCH7LN2UySJQGTa6JQHN8xJHnk7n3Ncl8wvzdBpgmZ9UwPDV09UOeOb1vKieLw1DBaWvpWoEOHNXFgXjQwWSi6NpCViq4O9H3g8MxSHle0rUAbgdaKd75dkmSS6WnBV399RJJEFrOhYpFOc25WgmoieXpTMtm32EmJWk5IFjm5cZQzg00Me7cLhLSIrmUWLkhmKfsnGYujhOvXPft3RwQXibsWnSj0JOP0cUk20bi6Jy8lbS0ZTxUPHhvO3p4wvjvD9XD+XsXyL3yFg7OUrByQ8yY3TN455f67Cce3Dafvz7j/Tsp4aUhOFhz4pygtKSea6b4miQ47y0mEY9dKri9BHB+ifUdWGlwfme0rlHBkpWY0k5hEotTwDC2OE6qZZtdq0iwyOigZVZDfPeKdD3OmBxlWe6ZLzWyhOT6TpKVCTUeYKsEIhzSGIARpIVmcV/Q+ohKDkpE8DchEY01AZ5q9Y4VNBW9/s2I01dgypZwYzh8aTu+aAecx05hC45zk6FhzcJ6RzBP29t+AfxNBowtiCByeGY7upFxfRY5vWbSW2NQyOxkqmsXDY5JSMB7DqIhMF5Lj+zkv+ylFJYYePjWjg5R+F5FWUyws+0eG6UJwdioYjwVCKE4f5JQTw/G9lHKssIkgUZ75UmEKixaRNIGj2wlXK8Wj9xPyg4rFkaacKR6+XyKEQBUpk6nBmkiWCcq5ZbpvWe6bQS02idx+mLB/pJnO1VAlFIHFgUIoBkdMr9k1cHiqMGagr3ZeDddnkmCMYrb4T5BN8B/zsKnGTnOqmWHGJfLOPYqRpvKXTA8t3/prC0wqKKtBFeuyyal0zf6exO5NODizyOWMaiJZnGQUy4L3fmNJuVeQVYYk00zeOkRXOeP1F+QHY9JE8v63c9LTBbOlITERfbRPdTIlTTzi+JA7H4zZhQzanuWdgtF0UPpqbclOluyfWVCSfKS4dS9hNBo4zK4NVGPNlZqRlJrF+QipFUfnCWZvj9vfWJLoyOG9iqRKGb1/h+K4Ipnl7J0m7J8XRKmoZprZFL7zF0pi50j3K976i6eYTDOfeoyVhNkCO06Q0ylVDmmpmE0CxTzj3q+f0cmCs2VH6D3m/unAnZYCYS1lFjm6ZZmMPLGo2Du2nN9RlAXMFoLlaYFbNYTGI71nHUdMDjMmd8YcnKUkmaYcKxIdObttkPMJ2TzlcNrgUSxmkYm8YfpgwfzuGJ1apkcp9mwfkSXc+sqY0cIwnUvQmuJwxOzADjoIexnlSLN4MGc01dTBElZrJmPBwcGA7q8WCcsTza07Gl9O+Pb/8Yh6/xxJz2QmaDvFbBqZHWcs5oG9I8P0MOH8nsWkhqAtMhnu/Un+Co1HCvWGD+1Y7Cm6bcvs7pTH3xmTz1JsLpkdp4zHgtmdEfPjnPH5jOxkwfGdhDyPmNSijGJ+YElyzZ0Pp7x60nP2TkVeKn75r05R0mNHFlFWLA8t776nePsrgvPpGq0jk8Oc5V6gi5YoFF2veP9bOZOZ5uYyMDmfUM4zyndvMZ5pbK5pRcbyUHL+OCMtNXfOAkIPpWRj4M5XKnwQHJwaFktJMU/JR4Z8rNl/OARUWaWQZvBkSBKJEILzry75+m9MmC8E43Hk/FHBZK5ZbSVCK54+V9hpSXVviRlVpKXl5G7G4iyhc5HFUcrRg4wQBbPzitOHBalsqeaW4CJnkxUP3rFIAukkYe844/xhysnjMfunFmEto9whJZydK9KR4ehIgRCM54Ykkyz2NIf7cHonITnbQyWa+28n3FwLlrdKjooNsz3Ng/cLju7lTM9H3HqcU001SQ4+SPIsojNNMTVkI8N4PmSQOjqKcjDu2ju23LmfUS5Trq4Cy9OUh18rOXl7wnQqGRUQjOHw3PLoO1OO76TsneXM9+DD9z1HB5HJSFBODPsPRowXg1aC8zCeKaoHh+giGeb3vqXcPMf1gaZTSAUmURydaCZLS2YdTz/psblmeaAxo4zHH1imRwlpKcnSSL2LVFOFEJGDI4sdWYpZyng/ZXxaIoLn4rlnfePRieatDxPmpxnV1FBViv3zhNtvlzinySrFvcMtRkbm+waPJK8G3ElvCjg8QdqBQliVikcfFswWhuPz4X/nxwn7ZynzhWLv0FBNFft3C0YTxek9i60Ms7ng+JZGSujqwMGxZnFgufNWzmhquP1ewf6R4ej+0N8vqyHYGM0sv/SXSzyK0HkmM0uZdByfG8ZzRT423H2cIrVkNI4ko4TJVLM4MBwuBzEirSLjPYs1QyBmE0FV/eK25F+c3NEvcHz645aTvZ797inXBwvGxxkdZ1z+i5bpOyfc+fqc3/1XjsWdggeHKS9+FAmfXiFE5N1fX/D4W2P+u/8uMhoNYhJZkXJ6N+XVpacYG1we+JVfs/yLTzR6HVgcJ7QCHnyQsWuh+UgjpCRPBZvnGw6PFHKmObhX8skPa+6+ZRgdFWjlSTYB//1rxqdjopbc9Clns46Dt3J+8uPIbF/z6keW3XUH2uCl5fArC0SIlHPDDz4PnN7N+OhlSXmikC5jfJBx+Trh5AQe3Tugv9jw/POOyUGJkRGpFEXmOf/uQ24uPcpI0jxFGDi6W5Iejmmd5ihryWTPfCHp/+p3KZpL8nmKT/YpRc+t9/Z48ZMN1sDn/QEH6Za9UUuharZU7Gp4533D9Z0J34uRnUpQsUZZRSSw28L4rGRdlewdSM7uan70z19z+2uzIbKfVeSzjNnIc+8rGfb6iOmlojqesDdrWDSG8nZCs87I0yWLk4yjU835uyXdb11xYw+Z7W2Y+zFUEle3nN4rOXs85vtf7JOEp8zKnlmy5eqm43Rf8eKVYnYIaaUxBrJJymwxY/Vkjcwso4kknWgOlyk6TUArHn+z4vmr14TXFrHpSPKE/e4Vz9WM4COsBX0LNvGEqFgcW/YfpITdC14rR1IZ9uIrkm+9y/a3nmBTwfhrd/n+H9Us5wEdC77xG5r/eZ3RZ2OquWX9KrJ8nLH/eMrnXwhuPczoPpHUW01VeDa//1PG+yc8nS+Yumumb+3Tf7Jj7Sw7aRmPIjY30G9xN5Hl+0t6IqnPGY0Es5McIwMRRV5K5ic5n/3uKyYTRbptEdENfG6lqUaCi+c9WaUpRpKiVIwOBVOhePUykJaB6WHC+DClXAS+8VcLXNA4kfDeryievYBnL3ryQrJ3pLn+6WDes11L5gtLsYFsYpkcphRBMF1qTh+lXP7BlLNbgc86QzWButkyPxlx9UlNlWum84TPX0uOlorZoeH6ieHhY8PLa0PpHJe1pdkGFvuGlz/wGOk5OlX0l5HdNjKu4PYjxa7POH9cELY15ViSFIrzdwVPG838gxHjX3qAc4Gf/Bie7m7QBIqdx3vJuPC89+sLfviH/RCAuqE8XugODhOm+wZhJS8+E/SNJzGeOmZI4/ilvzHm8lnDwXlBSAZevwiBbGTJR5b9WeDiU09RRbJFRtcLyiKQFYpSaD7/1LN3O6MaSXaPKuLzLfe+OqFznnKZMbl5xdvvGV59LEgKzeXnNfMDzTWQ5pJNbbj1SJGMWyZ7CusjWEmaCyYzzSpGFvueXROZ7gnCwZQbFwYBnyBYXUcmi4TDezlPfrzFWMHdxwnSWMqFxZULPjh8Qjk2FFNNMIbNH36MOjzg2fWUYqHZbSObFzuW36gGrv9YUU4Mm1Xg4MRy/Djn4rcapDJ4NIuFQGrNw2/meB24/1CxuvGkCTx/Fji7n/CTz0EEz2SisclQ8v+1/3bGH/0/L3j1pGNkI69feB4+1swPNVcXKUUytBKKEphIVi6h8RrXC2aHFl7C9EBzdpIwnUjy/ZLY9hRlwvrS8+p5JB0JxpP/Egz8uY66VRyNr1BrzeE3jvnOXxrho+T/9voScbhA54asAlsVTBaS5x8n3HmvYM9cc/CVgse/uuT//t+/5mRpkUcS0e2/uYmed35lwrMfb3j4tuKPDjPMc0lXZoxyOD4zrFaCl7Xl2bNAVgiuGiiN4+CO5Plrw+VFzXe+kzI9TlivPC9eSZYnCeYg4eRewp98D4rSk6QwmkiSkSWdpej9BeLqNTGmmFST2EieC7qo+OSyYna+Y3HL0NR6oLO0JfW85GtvlXz0PcGPfueKD//iFOM6bKbYP7XEGJG+p1pmZMWwkOtSkhcFAcF+kWD2EpZLePZa0c8PsSeCrIC0W/FLf6Xkn/9fG7ooefFRglVr5kcWV+0z+6IjO8k5vGWofxxYHKdsg+XB3SnrK8dn37um3cHJ+ydUEg7OLIcnko8V3H07odlFqrt7FGNFNZbcrW9YR/AXFyTzA/QkwU4lSSY4uFOgX66o9jJsorh1R6N2mt9/mYFuKKcGY6G+rNFGkI4NKksY557ZkUHnKco7nFcs9yPnb6X88L9/I+gSPW//2h4//P0GW2SEymIzxclXD2nWPa9f9NhUsH/LEhLF+WnO6x+8ZDEaw9awvnCsNpp6G9F7OeUi4fZbKeNTw4sfKkb39kl8TbAJy1GP0A7uDcDS7XrL6nmPTQzj45LD79wZBH4ODdsfK+69W2Aqy2gaefurGcWx5fubG07uJ7jNnJtLT7o/4tGDlK1PyfKavYlDljltGzg81UwqTac0MUA5MZweVlQTxe//TovfNDz46ojv/e6W9aXj4E6O6yOXfkli3NALTQdVx+0m8uj9lLaOFGONGgvEK0cx0Tz/zBP6wL13c77/+xsevWP5wfciOlGM55LZgeB3f1tQLQSIlpOTQDazlOmIw6XjcmPIJpHxgWa5iDS94P2vWv4fP6w4uN3x+UeWrPJkLZzczwg/yTE7T1pK0j4bzL/mmk9/COPeU81ybl519L3gztsJV8/gi+9pzMhyftfwvaeDpn3nFOP9kv1S0dQge5gepozmmodfvUP505a99wzXnydUZeTZS0c+SbBWMH6+4vjRmK3IsaOMO+9aXv8O3H4rZbXrQUq+8s2MxalhswmcPzJcPxfsnSmWRynH54E7bxecnBtubjasdxXTg57dxY7eBe7u71jMRtz6yoSXq8Di/ROSVPLqT645f2z56Lni4Fxx+iBjMob1RcvmUlEscu4/yPjx5wl37o4pp4bbj1J8iPgWbj9KuPaKyVLyk40GAUdnhm/+esH//D90nNxWbHuN97A8TgitIMsDue7ZNZJnT9+wHdLIjz93nJwptBbc/0qGFIHbjzK++AIWJyndxnF0qlBWoFLBw3czrlaBT5xEGIVJNFL2HN1OmVae0cxw+4Em+kg51szPCrQafAiqqaJaZqQ5HNyvWB4lZEWLlJGv/krOn/xezeQo5+Su5qs7T3OdMlkqXnza0beR3/grhhd/ouialKwQCMAYwcOvJHz0ox4tO0yiyEvFwTJh933J/NDS/kHD46/n/Mv/ccdmFbn9rmJ1PbRNXr+GLFekGZhM4YJgNPrFYQb+swwGhNaUL5/ROMW9r06YLCwmkdx9aHiuE7LSoIzj8Kzk8Ezz0cdwsD9wpo/uWHSe8M43SvZOp9xcgJGWajyIVxwdCrQzaCOhHBGyjPmhpb4aKHLn9ww3P1Tc+UrJ9sYhjCG3G45OJQfvJfwPzyUHt1OefT5MrraG5YlFzxS3bmuC0lRtSzlSvPOepJoZ/un3S07vJrz43o7b7yQYIylzz+2Hlp9+PGO5lByPS7yUxFHKdKH5Qi54dRN4Z65Y7CtO7qQ8fC/ni9/fIYRkfpKSWAcTjUkki8MBdNXXHdPHM8a5Y0931NrgHSSpoG4ixWzACLQ/XTObC/YPBFuR8ehXLJmc8ME3PRfblIunPfN9S1IoQuwoSsmt25o8Vaxfrzk4VLjO8/C7x3z0B2v2ji3aeJJCMt9TPH/iyGcpTVAEavbtBdlRxfpTj04tTjtOH2XcrODe18ZsvnfDwXlKXkaSVLFYCM7KhLu/tOTlP4dbdxWxyQbNhBSyWUqhUhIDtx8arj+puHwd2N+L2EQyub+Hsor5Evb2JT9AoHXkztdmzO5a9o80v/c7gmIMSSI4vGWRueLbv1Hxe7Gm2QmOlh2f94Jsvsd27Tk6sWwnU7SVCB95/SJydC8j2XWM7p2zXXtu/Y23uRITfBsYTwQvvr/j/JcX2EnB0XslfVKRhJrLQ0sxUphCkKaQHinWwbB3f8pX/+KEZ390wc0feqrDCSfvwNOrhOVhQvs/XVOclVjpmC0E1J6Tr9/i5Rc9739Nk2UFKM3+8Qbfwr13U5yL/NZvtty6b1ltJN1Nxt6hYHmo2awDWQ5nDwxKVbz4ZBD5effDlJ/8cMfsKCMWGqVr5vuK8eyNEEsFZ3cUp3fh1YvA4bnl4FQTtz133y3wWqBFxoN7kVdXku1Ny7sfaCZjuNwkg+DOdMz1bo3vI4uTjLSySCU4/uo+H38cME8873zNIKMneMVb71o++004fmiY7hme/Y7k+Dzh1v2h/6/+X9D3gmKWUq97YoSHXy24edGRFoIXn0myynB8ppicL3n2eoWUktFBhrUR4gb6nvlJjuprbqoZtx8WTM8s2y8i99/pkSJSrDtOz3Lef9SxNQpjPIe3crKkRaWavRPF/p6mbsC4jsXEc+udgqvnmiSpkUVJOXbYUnD3fEbykWPWwKuXA6Du7HHBy23EZJL3vpVjlefTP4okB5rpnmF5oCCT3D00JGPFo6+V+Lrj+bNAEJLuJRydSH70Q8l2C/ceWxYnKXe+UjKfR56+kNRbGE8lDz8o2F237B2kfPSjjmwimcw8xUzz2WegzSAMdfZuxvWlRyeKrnU8/iDl458Gzu4Znt0IyvMl734g+bE6RjzL2DaKTQ1pLnjnA8P82HBwqrE64Q/+Vctkpjg4M1y/aMhKw2Tf8vgbOaLrePCuJS0URaWYLwb9DyFhPDFoK3jva5onH4PREZkbXBsYTxR3385ZrwRJKSDC6lVHOTFM9zX9laZvHFp4jJEYIzg61YzHQ7ZfTDTVWPLquWc0lcyXglefBW7fs7xMc25qT9MNOiVv1Pz/3Md/lsFAkgZC52ic4vTeoPmttODoTob0UI3lgNi1DIjRueDh10q6cg9le4ABKDLTGBXYXgvKseTkTsI7DwS/s5akGaxetYyyEYs9yQrJwbFi7wBe/ajA/ahm7Fe424fY54bZUc58ISkqic0G72GjI8XMsjyfEDykKSwPDPzJDZF9qrkhvwoU9w4wYsuNmPDu2wUnD1L6LlDMEz78hkDkgiwKtpvAeM+Sny6QW0PXNowmiuNzy+33x4zmhl3MiQgefG3M+9/O+K3/qWNz0XLrqOejHwcikV//r0ueftIjn12zWg1e35O5ZP0Z3H6YMD1O0bmmHGkOzw3PrhQHRuNcSnXk2ZtmfPEE9s9Tmi5wfKbYvIT5YuAQfx7grf9qwQ//36/IMnjw9RFIyWgqSHLF+iaQF4K7H47ZXHR0dcvi7oLlcsTTFwabwGQ/hxUks5yzBwk/2s1JC8nFZURImN7fY/rKII3hYL/ma98d8ZP/ZY1UgsfvGqgr2icn5LLj8ETxk0fHTA9TqmSL0oLzexpTKhaHhuO3EvZ/EPnkExjPLSe3NCe3JH/4+57FHLJCEJFMpooYI0GnJIVjtlfyxUfXfPDrUz7545rzhzWjsmQ582gFrvWcv1Px4o9qzLggEy0n70zILgdL29OHOT/4TcEHf2HK/oOSfC34+GMYjROyW/tDH3pfEUVk+8LgP43cejtjdpjgLg0nG80WTTGO2FqyOMn55V+6wt4ds31V45ue1+2E+0tN33huPzBcv/bIRHN4onjxWc/BiSXPBT/4A0c1tTR1z/KDU777wQ3JxDCeeo7OJcYKTm8ZJjM1mCaN4KY1HBxq0rni+BZIKTm9bdFaoA0s9wegVddDvXM8fKTYvdYcnQ7grptrQTWNYAQ/ehJZnCokjq98PSFRjnc/tJjGciIV1VyixxnaCGKmMWnk/tdLrlcKum7YhEeKxb4hSMn+seDeLhnkkRPBo6+WmFHAOcHqpeTlZ5LZDJb7htVLx3weWV0MYLDJTCKN4uTtMUoLOqVJ00FTYlb1eFlwdKx4dakppynFVHP1ezve/3bKj77XQe25+1bBYi/QbiTVWPH8ReTmylMtDWU1qIwqNVDYFnuCYs9gCCwejRi/gKcfa4LZsDzL+fynK/CR5ZFC9Cnzw4R333P8yceKLBVYIzg8S1i3mv3bBQg4vq1JpWQ2F8znlstXEmSLLQ2jRaCYCqyVuBB49F7C60uJ15ZiAkslePlKYG3g4FDzRT242c73DYuzlG/8sqBbdeg85foSTK7JcthuBNVYsXcn5WjPsd05Rrfm+MvAydsJOonsZEmSSxZ3cz75wZbTc8NiX3J8vyAvFUffLGl2cPVyyL77TjCaau6+lbFbOJprwdn9hN0GPvimYTaJOODOWwnjQ8NoNqgAvv+dgovnHf/yf6yZ7g3siXe/VfLFTzv2jgZXWyE70lSQlwZkz6N3E84fGF5/1mBTMyRsX8s4ueU52BuEud77muSzjwN37gqung/z5cH7JT/44Za7d35xgQD8ZxoMqK4dNLpX9WD4weBetff+CbyIFFPF8UkY7C1D4OSWQglB/+Ql1aNBTvnobDDbmS4k168Fy31NNXaMTqdUk9c028B831C/HKJApVKMEQgL44OMB8Zh/BQ1Vvzxb01IJpb5QlBWkmqqefvrit1NR2oLirFmu+o5e5hy8wcBkwsa98YyWkYOjw0n90t+dLSgGBtme4oXnw8Ssce3BpTv9rnkD36n5cEHh3y+KTk4CvzhJx5jIC8lt+4ZfvxjmD9aoG3P6YOUNFdIEzh9e8xbx9d89nng7fcGYZRiamgvFNF5ri487z5W5CW8+kyic5gcKUYTyZ23C0ZXkuWB4Lf/ZeT5peadc8X+3Yr5XHDnoeHVE89HepAJXRxaHn5jTJrC7mLH1fOWD7475sc/CkjhSDNJ18LBqUHZwE9e1jgnSEYJJ49yTr6/YzSSoBVZ4ilu5RwcCZ4eVjx70lMWIJXk7i8f8Ow3I6t1y9tfGbTC3/l6Bgq+/i1NluT85j/xfPh/2CNud9x+uyCGBhAoDQenGq805VRjjKCaam5lCW99I6NaaLJc8Ku/bvjR7zbkpWa9G3q+67Xk5Fyzulac31e8+MOO9351TBMTZB44OBywJK71PP6VOfPTnNdPJoz3M54+32ASOcgzV4rJ0nL83oJ8rJFSICVICVmpmR5mSAlFISluwxdOc3QqefaJQym4uBiYCI8facqp4tNXkrKU2EPFNrN89ZciTz4SPH0Nk6kkUZrRWLG+DhyfCBYHipvnUI0k7U7y9juSMlMcnidc7hKmBzWbANVUk+YCa8CUkc1OUc2TAWRVBbbbyPxA8tY7BtdFlscam0iyLBDHgrYZwFYHh4KDE8OuzCgKmI4D1Ujz/Mcr5rcKnn7mePihpN/CYgHjseF6LenWBS4FLyTz/QIhIFsUyE82FGPDTz+Bh3cGBcDPXxQkdlCKO7lr6YwhhohUgjRTCCV49CDy/d+FfudoGw0MhlHFSPPW+5LLa5jOh0VlPH2zuFTQd4E0Fxx9a8rHTxNunR1w8eOMPIt88bHj9UsPepC3jQnceqdCrXvSqBBuB8KglODW/ZRypDjYD6wbcNvAZKawBbhqeN6++GKHHhXcfTew1QLnAqOxYnk7od16ju8m7Fae+3nC1WXg7j1BMk259Y2c5aFiNIJsP0HcFD+3bpZjzbqWHJ56bK7YO/SU1VBteHAi2a4SHn9V8dGfdMwPFOurwBefOtJcIqTg4ETxl/+blJNTwfMf93z+XNA0g6mYD3D2IOPuBxkvfrNntggcnUpG79yi/+kVi8XgM7B3uySkgYtNZHlgOH+oQMsBj1KKL5/F6Z7hB9/zvH7hODxX3L4LP7hQmGpQP5wsJL90S/HxH3fUHVSToV2hreT8wbAtjqYZ3/vtLQeHb+7nZEjWjm8bpJR8/icdk4UkikFNcb6v2V47FkcWkUtmC0lWSI7PFDp1XL5yTOaG168lMvSc3Lb0XeDuWwn/u/820m4DxvyXNsGf6xinNV3vEZOKrhkUn5QWpLnk4XuaslJsN57NKrK7dsz2FLuVRx/uDW5XwN6x5up1YO9Q8+zToVpw975CJYqoDCHA/Dih7WaMxwKHRSmQUgzUwEXBxXPN5RcN6WToyVfVcAxJKml3nsVJhrYti6OEi2eCyTJBqYbFr77FJ58M53L5ajDU2DuzLI8z8gKajePBOwlHtxWf/YmncVBMLcJ4os3YrWA2Vxydqj89HQ5PDKsngu/+RcX6wrN/OjwA5VjSbCSzw4T3vwXFWBNDHAxbMkNaBtp2KIUrFSkKQQss3j1C54KT+xntH3eMJ4qvfQc++UnAWkgzwWw+RO9lpTg4TxASTm5bQhi4wfd+9YSyGIIebSTeRcYnJeePU6ZLzeVv1yymHrlIOb2nGc0t+7dynr6Abz1S7C56ahepKsHiQHPzwjGewuXNgDO4/yjw5CdQjSJNEzk80Ky2DN+nBccPK2YnOTc/3XH6qOT6ZcfuusMmktl+gsosWkZsErn/2HDdWLQRnN62AIwmg45EWiislqw3HZsbzfMfrhBKsvhOyYOTmmpmOXtLoaNmutQYGbh64amWGcko4fTDPRZHhif/y9BHP39gcX1ku408/uUpk8UbyVoJSkEIcH5boP61hWV5nHCz8fzof/FoPVCjRiWMForRwnD7LsTVmuqoYl0LtFWc3Uv49OWgIeDq4bOMGT6v2Q1W4AA2EYz3LeNM0HSCuycG1WuMHcSERguFFIEY4PYdyY/+MEKMfPUbhp/+yKO0xCaCzbXj0XvDtTu/I/nx98F1AZtK7j4wRAF7h5rpZMiyy1KiQ0KQAJF8pHn7O5YkH4710VuSTz9Nyaue5YHi4x8KhBQU8wKptiS5YjYLnNw25GPFjz8T3H1/QQyB0UTxeJZ8aXMLoN8YUlWV4Nu/XrC66gZ7YiEGXI/0uI/+7aIxxkrGC8uDD29jftCQZZG//vWMP/ytmr6P3H9sAcX+eQ4LT/CRZG9MeS3IK8UoKt775ozlUYLQgv0Tyz7QtQXPfrojnUuEtIxmkt0qkE0s5Z0D2uct9cbz4IOKYiR4/1crFgeW57OOyyfDsSkliNJQztLhmUwHMzTK+c+dQ5IrfIjcOpOkleD8zlAKn88Ci2PF5SvN/qnhyacOqyQEkDIiJZzcTVAaFnEooeePU/7Vb3ckmeLDb1qQgryQ/OSPPX/pr1u6neSzzyJCwL1v7785TpCpZTTzWNNx+rjk9KGiWfVvwHvDfUozwfFtw7YRrF4ojo9guadIC8VoaokhsHdiaDaOJJP0URBVJE1BCN6YTw0/ey8o38REo7Hk+F7G1auevWPF/lnK9qonSRXnj3KQkWqi0UYgrgKffhI5PoqsrwMf/HLO93+vo5xoPvy24A/+RUsxsrjOc3SmefVCk/wCAwH4z5RauFsFLI7p2Qj/Rv5RKcHyOKGshgWuqiRdGzm7ozk714i9JbP5zy6XtZL9o8G1bP94WIzHE4EtB/VC10cefGtGfjChqBQBgZTDzU4SuPVuha97upstOrNMpsPf7rwzeBZsrh3Xr4ZJXm88y9OhnTFfDsY92fArs4Xk/uNB2/9b//WSvbtjkkSQ56CtYnFkkBJsqji8ZVmtJYuloKrg3qNh8wKwCUwXg+5ANf1ZjPjoLUE5GgRk5kcJaTGYkwBURxWHb41xXfzy3E4fZCAGi1IYFsGyHNTFylIynQ+LQZpJ3jxzjBeG+aEZnMAYnOuUgmJkOHuYEcLwYLo+8o3fmHByewisXB+5+80ZySwfqFFTw8m7Y15tMk7upnSfPuPhI0mWCW6dS07PBF0XqZaWohSc3FJMZ4KiGvjH8z1FPlx+khQOzw3L0wRthqxIKyjGhiwXLE4TDk8Vjz8cbkReyEG4J1NfXruykiz2FEpFvvYtxWisUFaSyJ5SN0TnOf7mCVIJpgtNMkkYLS3KCLY3Dr03QSaW07dKpgcpD395gUkG/QEph2tiM0U5+lkw0HXwxReQ5JIk+9l8TXKNtWCNYDLXZJOUYr/g4CxBqQEQ9fnvPOPZs8FASSiJMJrpnkXKAdgGMHmT9TYt5G8c1vJKMZ5I7n91xMm5RWlQecLpnaGkXU4068ueyZ6lHAl8HwgBHj2WTBeS23cGnMDF8w6t/7XrNxo+X2vB/bc0e0eG8k3ALJXg7LZmNFUkqWQ6G1wPk/xnc1drQQhDtW2+lIzmBqWH+52N9EC3O5GcP0x46/2Mv/HfKA7eP+Cbv14OGVqM2ORnC/SDhwMuKM0FJ/dSzt/KB2vgOHDpy4n5uff/m0NpgbGSJFfcelxSjhRCwHgs6HsIER69q3n7myXBDwZTSgskgTtvZyyP06GdefSz77CJ5PBOxnQ6iPsALM9Symr4WSlBmkpG8wH78+grg/Pi/MDSDlYjCCmASHK6RCWa6Py/8xzeOP8OrqHlsBbdeStjNJIcngz3xRhILKQ5b5IbwXRpGE0Ns9kQTM0PU2JkEFGaCO7eV4zHwzUqSsniMCHLfv5aSilQWnB2zyDVEGR8/tlgOPSvDyEFeam5/5bl/vs5hGE9Gc01e0eKGIeARypBkkmqqSEfKQ6Phnn4c/fMSg7P7Ze/5yPNsy8G743lvuSjP9px9sDy1lcG7Y1irDm+mzKeD62hphWc3h0orbfuDuZESsH+iR20CLREEJnvSdLsvwQDf+5jnm6pysjewwkg+Ld5Jy32JS++cCSpJIbI6CBnsRwMYf7NcfetBIDZbPi9HCu0GZChYj5DKcHBvfLn/sekGiUjom1JKv2ldeXxqSAvBbceZdhUsn+W0Gz9l+WjOw/tIJzxZtE5O1dIMUzi+b7h/luaxd4bT3YzPDzGQD6xnL6Vs9yHd94bRHHe+9awuMCwaNStQinIy589XMYKbKKI2nJwvxy42gH2DiS33p0wmWuEgKYZLqI2Emv5ueHd8DneRcpyeOC958v3CSFIUoVNhmtwcDos2sv9YfH97NPIdDb8/58eb5pJqqni4FYKcggslBJM5xpTWH779zT2vcdfXidtBD/5Y8/+oeLscTW0hfYERyeCrFSsV+DcsIHAwCfOqkGzfDaTnJxJshRO7iUs9iTl2DCZDeXI0PYY33BwllL8azxhYwR5NSw6ywPFt38jQxuJmIy5++EEGT33/sLA2z88UaRVQpJIQFBvHKe3h0CuHEnK0VDitNmw2Qk5BJejhf0yk/nTAOHxY5juJ4zmP38jtptA9ibY9Q7Mm+stxKAvb1LNJ6spUjDYCCeao1P15XcBX96j//3/Zc7pwyEQ0lpQjYYS958KzGT7I9JsmJfGSogRpQeJXt9HvBuAnPcfaf7SXxsAtw++Wn3ZtoMBgJaVCq0jR6eK6XT4HueGTUbK4bPzYpjjR6c/vykAnJ/D4elwzW7dM+Rvzn9+lJKkggcPB30GgFvnQxVqWLAjro/MDxOy4mefK6Xg6EQy31fceSenHEmikF8et/pfH8LPzmcxnOfQzhEUheDgeAjAgwsQYbGQLA8t2ZtncLy0nDzIefyV4T4rJb6sVPzpsKnCWsHR0fD7Yg4H+z/7+9vfHjFZGGwqv6zs5IXg/n3BnXvDsY8mkhgFJlXE3v2vjt172G0Gq94YBrzCyZn6MpkAWO4N51aUwzophGD/cBCk+neNl68kB3dyxgv7BlMlUW/OrxjJN4HKz4YxMJlpTs4U3kWMhWRkf25ZrsbDHB1PJLcfvbEnVkP7RsifBclSCawFHyLGCPYONdXo57fEv/Z/nvL+d37WLrl3X9I2cXA+NMNcfPCWxibDOrJ3mmDTIUlQCkazIVhVCr7xnZ8FqmcPhzZeOR3WLucUo8l/CQb+3Ieot1QTyenbY9Li3/70zmaSw5OhjF5MDIvjBJklqDz5//n5i0PDbE9z967k8PjNxNM/f6mFEBx9cMDxO1PySn/5gCfpm0i1Gjbmcjw8SMEPm+0QFAyqbfPFG+tQM4gTLY/soH6VDBKrUg4P7nJvWNydE6SZ4PBIcXo2tCP+NBKu9gZzlX9zMVNKUEwMX9xUGKsoJ0Ob4E+rJOVYoVXgh9/zX2ZF/2YwMAQmkr6H/aNhQZrN4s8tJFmpeO/bQ1qeZv/f9u4tNo7q/gP495wzl73v2l6vd9frtdeXxiYJEJLy/yeE0iptpIKoUFUQtFykPCEFSIiEwqUqqBIJF5WXhovch74AKpW4pQ+ViEqVFKEqaZoAAgTlIhKI8g9pgm9J1vHu/B/OzuzOeme9dnY9Xu/vI1mJ1+PdM8czc37nd86Z4TAMWGPg4+NAICCfjFZ6IYy0C/j9HEIT0AOKVT+9mUI5AlpxToh8Mik4B/TC6x4Pgy+kItrjhaoCp/7PgFI4X0MRgfhgAFxwKKpcLaHpwMCIbER03XxfBqYq8IUUuZwpYd958/70jMu6Z4rA8P9G4Et3FBphWY/BICsEI5Dr1FcFEYsLMCazKADQs8IHf0juEBfyGBAl9aHrQDo9u/5NsYSA2enz+RnOjcnhLUUBBocYfIkw9KBM5wqvDuHVkc/LOivnCwhEU8XZTvm8TKELAYTaZA9I93D4AvLiHmxXrfoyII/nfB6IxhV4PHI4KZdjVmNlfoY/JBucYEgeN109GgZXexFul/UgVG4FHcHQ7HNZLakjXZdZAZOmMXTEihdoxmTjAM6RPztWMfAHgJ6MKnuvMQXJtApvQFjH2eCwc8Nnnh9mEAYAqUGZ+QqGOXoHFPkQKI3DXzjvhWBID/sQjnA5fKY4BxxmhyEYNKAWPosLhmhKhzcg0BEvlm1yTI73+wMMXh9DX7/s9AhNyMCkTG7GwPh3eXg88poDyPOnlKLACgZyOZniD7YJtHVVPiCFADID8jobS2mI92q2O/DFk2LWsWdeM67YICcMBkMc0U77Rl2p4uclkhzJPhWMMfT0Ceg6EE/rVt1oGvC9EdU6x8pxXgwuAHlIpFJAd1pes9duimD1VTJ7punM9rdRFMAfKGTPfAbOTxV7nUIA6V45POv1MaQzDIle52NnMbRkMOALcaTWRJHo9yHS6fwH6IjJNJ7u5fAFFaghn5X+ribZKx90AgCpFMP0ZBbDI8WqNnu36UEdI5t7oDDDilajXQJCFMbICyedVkhplVIUA51d8sg7e1Y2uJ3duvX+3UMymr04bcDrY9Z8hY7CMKCqMvmEroC8yAQ7vejLFHuAJsbk2H5nJxAKAR6/sGVStIAG1adiatKwhi6c0l25GQNeH4eiAJkBYWu0fEFhmzwzfUGOFXMue2zhcLE8Jt1jBjI+hHplWqYzJociYl2ywTYvJpwDwQjDxaksIm3c+ix5i1I5a/rr48VgwHpwSkk9XPY/Qfm5OrOV1RNvg7eva1b5AKA9Jh8JrGoMXr9AdpojkVLkOHnIfiyZwYDHK+eMsEIwZ5K3tDUbCRTu2mev4/Z258ZCBhaFVHJStdKrnDNEIgz+Fd1Yv172yE25mWKdlOKcWVkUs345l73WfK4YtMVTsrztieK+Kqp833hKWOuqVY2jsxPw2+esASiWR1GAQEieH8GILJTu5VagNh+JQT/6BgSiXfad83jkEAnPz4CxyuP/oXa1cD4V5pfoomIdlTOHPUrPD84BIw/0pBli8crnjS8o3zyflxmcatkHcztfYd4E48wKiEqPzfOTOXg8sk5VlSEzqMoAXK28I4EQR7hdwONlmJmWwcKKEXvzYQ4BJjO6DGz8ssNRepyUyozoiEaBYEie+5zLZwNY++2bnQVpi8qd9/oYdN2Az185WDVxzkoyZwzt0WLlCYXBF5I3D0ukKlcq58yWnVBUhvxMvtCbh8zg6hy9I370r/LZ6lhVgVhM/v/ytRounDdsPxsclnfmjHVxDAwqOHeueM13Q0tOIDQ0H3zJoHzsKBNWr7ucqsnZ+k4/r0U+Z6At5bf14BTNPpa7/vqIFTyUHkzmSR/v89jGov/7bd6aLBOLc5z8hkMRxWhelJx8F7N5KJoKZRoQihzrK2eeTN3dc6ephCg2wgAgVIHOtA+nvi32TGZF6j2FSWGDirV/be0M2WyxXkNt9kMx2ata23Z3y9fKO2rm+LXuYbafpXvl+PGFbDFS54JB0zmyExdt7xGNFSbBafLkNgMUoTDbmLvcd+f64Urli4nXx3F+YgaqzqFclIGNxy+QnQECPTHbtrIXLp9VoHtlIOR07AXaVOTO5KBXKVO5fB7oLqTMw1EN3oD9ysNUFaEQwEv6COZwUyVCLRkSKfR2Na/A+Qn7MVIuPeJHKi0KQUjx9fIxYkCOUZtDE+EKadRwh4rJsRn0D87vUqbplVuQWAzABQ7B8lYjXIk/oloN1dSEMWcDDchsEwBbD53LUSFEOlVo2tx9M0WZHbBX4vWZw3+AYczePpqUB3ppUOsLcHBFgOuzO0iBkEAgJHDihAGRK16rxr8rXnfM89XjE9A0w8rYOAlHnAMFADg3kUO02x7lmeUVgmFghQJF4/j6uIGBwSrnpkO1ajq3joNq4/WlgZ5a8jswDPj8xTdvK+tYKiqzsieaxtCTUTA1KTMmHo/82fnzxfqbnJTDMbUcS43QksHARc0PPRqEUDm4wivOGQDkvbvlIz4vVt6gBlwwdA1FbK+VniCKwmyTpkqZQxilgQBQSHXrZsPLEAzbG67SYKAzpct7XnNg1eUcY2dn72ysZ+5u1bffAp2dchijM24/uzw+jr4B5wtZoJC+Le8161UmW5VvC8hGxPa5hX1Wy65dvX3y9RMn7AGE0Dis2Y9lVBUIhYtpavl3YWZhHMs5Fy4YLmbz8PgFwh0C300YiHRqGJ+4WLVHk74sAMNwLC40naOji2F6uvaydMQEzk0WT3nNYz+uMhn5b6Ak3V46j6Jc6XFsZWnaNQTbq5dD1XhNDRog68+sfrO3W073cgxcUSGlsACqyjBzkUP16+hIOp8XaknDHQgYNe8PYD+2vd7CpLka70nf2TX3dn0jXqs8iuZ8fSuX6pXHhicecdwmHmfgvFgvIYfb53LBkO5Xqi6VC4Wr74scKnT+/Xi3nK/UFUfV9fnlQf18hTuK54zuYYj36vJJi3MEb+XXJa+PY2rSHoC3tRf3b2AAlBlYbMbkFLRIEkJXoHqdq0D3MBgGQ0d8njnIEunh2Rcpc/x0Lu1dlbdL9gh8d8ZcBQH4AwKJvuJ+BNqKv2dmHDQNuMg4FGX20eYPVT8MFAX45hs5Ma2SSDu3RciNUilAAOCYovV6UdKQACNXaOC5torbhsIMXfHKn8HVhYfqXDCcOXEB4ZgOVWPweOSVOd0/+29rDoUAshyMOQcDQCGLMI+blHi8HEMrnY9lcyVFrUqP49Le7py/N49brpYGA05UjaOrp353a2GcwZ+JQa/xPK21sa1ECIZEN3fMvpRqa2eO50Cp0gbUKQMCOMe4Tlku+d72752CASGqB/uA7MhcCvP8rpZdAGq/3jpRSjJgjDFoHjmxsdrKEUB2nuZSGuCay4Ld0pLBgKoxnPnPf9GWiVTdLhqV/9ZyAs5HeU/fieoQeWo6s8YfOWezegvlPT6ToqDmHkgpXYctnVtuMQKBasojcFNbSbvPGEMoosDpkA8EqmQpqlwc58I5w9i301ZKORR2/pxUyt3ZxPNVepzNp2dcra7LCYFLyswsBFMEuFb7pbF/8NLyusk+rabea1eifvljw5i7Z1uLRHflMukeNmeA45/jOCifjFuu1hv0zNXZma/+lV6cm8hZK1OcVBtWrMRcGuyW1gwGOoJIX9trzeR2Uu8goF5UldnGT817FMyFMWaNJc7v82AtW1qKzKCtUS4lGACA5FBxzki4SjBQSWmK0g21TIxrJKfVPo3EFQEern3Yoa//0hpVrwv72O4ww79ezKXS1cz1UJ7QJfboG0VR5TJCM+s6H9WaFMoMuMCbSUDzN/ZkWExOY6n1oqqwVgosRY1usC41GOj+XmDujRyYa+DdUm0C2GKYT8aBkMUgH2a2sOPSvGlTJapqHypcbC25tFCdY6yH2DFWvKFSK9Ii8xxMX0bmGhclhNTOaamuyc1kdEsGA23RpZl+IkuT8C58Ammza4u6tM6JkGVoZgaz7p2wVLTkMIHTDSYIIXaay8MEhCwnsYRwtfdfTUsGA0v2r0EIIWTZcvMRxXNp6DDBz372M6TTaXg8HiQSCdxxxx04ceJEIz+yJhQLEEIIIUUNDQZ+9KMf4c9//jM++eQTvPrqq/j888/xi1/8opEfWZNwdPmsJCCEEEIuFTOMS7l/1vzs3bsXN910E7LZLFSnO8WUGB8fRzgcxtjYGEKh0CKUkBBCCFke5tOGLtqcgTNnzuCll17Chg0bHAOBbDaLbDZrfT8+Pr5YxSOEEEJaVsOXFu7cuRN+vx8dHR04duwY3nzzTcdtd+/ejXA4bH319PQ0uniEEEJIy5t3MPDYY48VHqLi/PWvf/3L2v6BBx7AkSNH8NZbb0EIgTvvvBNOIxMPPfQQxsbGrK/jx48vfM8IIYQQUpN5zxk4ffo0Tp8+XXWbvr4+eCo8Tu3rr79GT08P3n33Xaxfv37Oz6I5A4QQQsjCNHTOQDQaRXSBT4Yx447SeQGEEEIIcVfDJhAePHgQBw8exMaNG9HW1oYvvvgCv/nNbzAwMFBTVoAQQgghi6NhEwi9Xi9ee+01bNq0CStWrMCWLVuwatUq7N+/H7reuvd6J4QQQpaahmUGVq9ejbfffvuS3sMcVqAlhoQQQsj8mG1nLVMDl/SzCSYmJgCAlhgSQgghCzQxMYFwOFx1m0W9A+F85fN5nDhxAsFgEKxODxQYHx9HT08Pjh8/TisU6oTqtL6oPuuP6rT+qE7rqxH1aRgGJiYmkEwmwXn1WQFLOjPAOUcqlWrIe4dCITqA64zqtL6oPuuP6rT+qE7rq971OVdGwNTwOxASQgghZGmjYIAQQghpcS0XDOi6jkcffZSWN9YR1Wl9UX3WH9Vp/VGd1pfb9bmkJxASQgghpPFaLjNACCGEEDsKBgghhJAWR8EAIYQQ0uIoGCCEEEJaHAUDhBBCSItruWDgueeeQyaTgcfjwdq1a/GPf/zD7SI1pd27d+P73/8+gsEgYrEYbrrpJnzyySduF2tZ2b17Nxhj2L59u9tFaWrffPMNbr/9dnR0dMDn8+HKK6/E4cOH3S5WU5qZmcGvf/1rZDIZeL1e9Pf347e//S3y+bzbRWsaBw4cwI033ohkMgnGGN544w3bzw3DwGOPPYZkMgmv14sf/vCH+PDDDxterpYKBl555RVs374djzzyCI4cOYJrr70WP/3pT3Hs2DG3i9Z09u/fj61bt+Kf//wn9u3bh5mZGWzevBlTU1NuF21ZOHToEEZHR3H55Ze7XZSmdvbsWVxzzTVQVRV//etf8dFHH+F3v/sdIpGI20VrSk8++SReeOEF7NmzBx9//DGeeuopPP300/j973/vdtGaxtTUFK644grs2bOn4s+feuopPPPMM9izZw8OHTqEeDyOn/zkJ9aD+xrGaCFXX321cffdd9teGx4eNh588EGXSrR8nDp1ygBg7N+/3+2iNL2JiQljaGjI2Ldvn3HdddcZ27Ztc7tITWvnzp3Gxo0b3S7GsnHDDTcYW7Zssb3285//3Lj99ttdKlFzA2C8/vrr1vf5fN6Ix+PGE088Yb124cIFIxwOGy+88EJDy9IymYHp6WkcPnwYmzdvtr2+efNmvPvuuy6VavkYGxsDALS3t7tckua3detW3HDDDfjxj3/sdlGa3t69e7Fu3TrcfPPNiMViWLNmDf7whz+4XaymtXHjRvztb3/Dp59+CgB477338M477+D66693uWTLw5dffomTJ0/a2ild13Hdddc1vJ1a0k8trKfTp08jl8uhq6vL9npXVxdOnjzpUqmWB8MwsGPHDmzcuBGrVq1yuzhN7U9/+hP+/e9/49ChQ24XZVn44osv8Pzzz2PHjh14+OGHcfDgQdx3333QdR133nmn28VrOjt37sTY2BiGh4chhEAul8Pjjz+O2267ze2iLQtmW1Spnfrqq68a+tktEwyYGGO27w3DmPUamZ977rkH77//Pt555x23i9LUjh8/jm3btuGtt96Cx+NxuzjLQj6fx7p167Br1y4AwJo1a/Dhhx/i+eefp2BgAV555RW8+OKLePnll7Fy5UocPXoU27dvRzKZxF133eV28ZYNN9qplgkGotEohBCzsgCnTp2aFYWR2t17773Yu3cvDhw4gFQq5XZxmtrhw4dx6tQprF271notl8vhwIED2LNnD7LZLIQQLpaw+SQSCVx22WW210ZGRvDqq6+6VKLm9sADD+DBBx/ErbfeCgBYvXo1vvrqK+zevZuCgTqIx+MAZIYgkUhYry9GO9UycwY0TcPatWuxb98+2+v79u3Dhg0bXCpV8zIMA/fccw9ee+01vP3228hkMm4Xqelt2rQJH3zwAY4ePWp9rVu3Dr/61a9w9OhRCgQW4Jprrpm15PXTTz9Fb2+vSyVqbufOnQPn9mZDCEFLC+skk8kgHo/b2qnp6Wns37+/4e1Uy2QGAGDHjh244447sG7dOqxfvx6jo6M4duwY7r77breL1nS2bt2Kl19+GW+++SaCwaCVcQmHw/B6vS6XrjkFg8FZcy78fj86OjpoLsYC3X///diwYQN27dqFW265BQcPHsTo6ChGR0fdLlpTuvHGG/H4448jnU5j5cqVOHLkCJ555hls2bLF7aI1jcnJSXz22WfW919++SWOHj2K9vZ2pNNpbN++Hbt27cLQ0BCGhoawa9cu+Hw+/PKXv2xswRq6VmEJevbZZ43e3l5D0zTjqquuoqVwCwSg4tcf//hHt4u2rNDSwkv3l7/8xVi1apWh67oxPDxsjI6Oul2kpjU+Pm5s27bNSKfThsfjMfr7+41HHnnEyGazbhetafz973+veO286667DMOQywsfffRRIx6PG7quGz/4wQ+MDz74oOHlYoZhGI0NNwghhBCylLXMnAFCCCGEVEbBACGEENLiKBgghBBCWhwFA4QQQkiLo2CAEEIIaXEUDBBCCCEtjoIBQgghpMVRMEAIIYS0OAoGCCGEkBZHwQAhhBDS4igYIIQQQlrc/wM/u+4HBZnl5gAAAABJRU5ErkJggg==", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=fs)\n", "display_trajectories(Z, m=100)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Forward noising process\n", "\n", "The two major issues with Langevin is that it converges slowly for singular $\\eta_0$ (in particular with highly non concave log-density) and that it needs $\\eta_0$ to be known in closed form or estimated. For applications to generative model, this is unacceptable, because $\\rho_0$ is only known approximately from sample. It is very hard to estimate $\\eta_0$ from sample, but as we will see, it is possible to instead estimated smoothed version of it. Diffusion model leverage this by replacing Lancegin sampling by another sampling method that rely on such smoothed score. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This sampling method is achieved by inversing a forward ``noising process''. We consider the following noising model\n", "$$\n", " d X_t = -X_t + \\sqrt{2} dW_t\n", "$$\n", "where $W_t$ is a Wiener process. From the knowledge of $X_0$, the law $\\rho_t$ of $X_t$ can be computed exactly as the law of\n", "$$\n", " X_t \\sim e^{-t} X_0 + \\sqrt{1-e^{-2t}} Z\n", "$$\n", "where $Z \\sim \\mathcal{N}(0,1)$.\n", "\n", "In the case of a mixture of Gaussian considered here, \n", "$$\n", " X_0 \\sim \\rho_0 \\triangleq \\sum_i a_i \\mathcal{N}(\\mu_i,\\sigma_i^2)\n", "$$\n", "the law of $X_t$ can thus be computed exactly in closed form as \n", "$$\n", " X_t \\sim \\rho_t \\triangleq \\sum_i a_i \\mathcal{N}(e^{-t} \\mu_i, e^{-2t} \\sigma_i^2 + 1-e^{-2t})\n", "$$\n" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "def rho(x,t):\n", " sigma_t = torch.sqrt( torch.exp(-2*t)*sigma**2 + 1 - torch.exp(-2*t) )\n", " return gaus_mixture(x, mu*torch.exp(-t), sigma_t,a)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display evolution with $t$ of the density $\\rho_t(x)$" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=fs)\n", "t_list = torch.tensor([0, .1, .5, 2, 100])/10\n", "for i in range(len(t_list)):\n", " s = i/len(t_list)\n", " t = t_list[i]\n", " plt.fill_between(x,rho(x,t), color=[s,0,1-s, .25], label=f't={t:.1f}', linewidth=0 )\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We first generate $P$ sample $X_0$ from the mixture of Gaussian at time $t=0$, and compare the associated empirical histogram with the density." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "X0 = sample_mixture(P, mu,sigma,a)\n", "plt.figure(figsize=fs)\n", "display_histogram(X0)\n", "plt.plot(x, rho0(x).detach().numpy() )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The forward noising process is computed numerically approximately with using an Euler-Maruyama scheme\n", "$$\n", " X_{k+1} = X_k - \\tau X_k + \\sqrt{2\\tau} W_k,\n", "$$\n", "where $W_k$ are i.i.d. white noises." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Set the final time $T$, which should be large enough so that the final distribution of $X_T$ is approximately $\\mathcal{N}(0,1)$." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "T = 2 # final time\n", "tau = T / N # step size" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now run the recursion." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "X = torch.zeros((P,N))\n", "X[:,0] = X0\n", "for i in range(N-1):\n", " X[:,i+1] = X[:,i] - tau * X[:,i] + torch.sqrt(2 * torch.tensor(tau)) * torch.randn((P,))" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# display evolving density\n", "t_list = torch.tensor([0, .01, .05, .2, T*.99])\n", "for i in range(len(t_list)):\n", " s = i/len(t_list)\n", " t = t_list[i]\n", " k = torch.round( t/tau ).type(torch.int32) \n", " plt.subplot(len(t_list),1,i+1)\n", " plt.plot(x,rho(x,t), color='blue' )\n", " display_histogram(X[:,k])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Reverse diffusion \n", "\n", "The score is the vector field\n", "$$\n", " \\eta_t(x) := \\nabla \\log(\\rho(x,t)) = \\frac{\\nabla \\rho(x,t)}{\\rho(x,t)}.\n", "$$\n", "Informally, it points toward regions of high densities. \n", "\n", "Since here $\\rho(x,t)$ can be computed in closed form, the score can itself be computed in closed form. Of course, in real situation, it is impossible, and we will see in the next section how to approximate it numerically from sampled of $\\rho(x,t)$. \n" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "def eta(x,t): \n", " x1 = x.detach().clone()\n", " x1.requires_grad = True\n", " L = torch.sum( rho(x1,t) )\n", " L.backward()\n", " return x1.grad / rho(x,t)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for i in range(len(t_list)):\n", " s = i/len(t_list)\n", " t = t_list[i]\n", " plt.subplot(len(t_list),1,i+1)\n", " plt.plot( x, rho(x, t).detach().numpy() )\n", " plt.plot( x, eta(x, t).detach().numpy() / 20 )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The actual sampling (the generative process) is now done by reverting in time this process, i.e., for a large enough $T \\gg 0$, one seeks to approximate $X_{T-t}$. \n", "\n", "The main result of diffusion model is that the law of $X_{T-t}$ is exaclty equal to the law of $Y_t$ satisfying the following Langevin SDE, initialized with $Y_0=X_T$\n", "$$\n", "\t\\mathrm{d} Y_t = [ Y_t + (1+\\alpha) \\nabla \\log(\\rho_{T-t})(Y_t) ] \\mathrm{d} t + \\sqrt{2 \\alpha} \\mathrm{d} W_t\n", "$$\n", "where $\\alpha \\geq 0$ is a parameter controlling the randomness introduced during the bacwkard flow.\n", "This can be discretized using an Euler-Maruyama scheme, starting from $Y_0=X_{T/\\tau}$\n", "$$\n", "\tY_{k+1} = Y_k + \\tau Y_t + (1+\\alpha) \\nabla \\log(\\rho_{T-t})(Y_t) + \\sqrt{2\\tau\\alpha} W_k. \n", "$$\n", "\n", "The case $\\alpha=1$ is the one used in diffusion model. Setting different value of $\\alpha$ is equivalent to changing the time of the diffusion. The case $\\alpha=0$ corresponds to a singular limit which is only random at $Y_0$ but after follow an advection equation\n", "$$\n", "\t\\frac{\\mathrm{d} Y_t}{\\mathrm{d} t} = Y_t + \\nabla \\log(\\rho_{T-t})(Y_t)\n", "$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Sample $Y_0$ from the stationary distribution $\\mathcal{N}(0,1)$. Since we are in 1-D, instead of using random sample, we use deterministic \"optimal\" (in quantization error aka Optimal Transport) sample location, given by the uniform sampling of the inverse cumulative distribution (quantile) of the Gaussian." ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import scipy as sp\n", "Y0 = torch.tensor( sp.stats.norm.ppf( np.arange(0,P)/P + 1/(2*P) ) )\n", "plt.figure(figsize=fs)\n", "display_histogram(Y0)\n", "plt.plot( x, rho(x, torch.tensor(10)) );" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Implement the backward recursion." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "alpha = 0 # pure advection\n", "alpha = .01 # original diffusion is alpha=1\n", "Y = torch.zeros((P,N))\n", "Y[:,0] = Y0\n", "t = torch.tensor(T)\n", "for i in range(N-1):\n", " Y[:,i+1] = Y[:,i] + tau * ( Y[:,i] + (1+alpha)*eta(Y[:,i],t) ) + torch.sqrt(2 * torch.tensor(tau * alpha)) * torch.randn((P,))\n", " t = t-tau" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display the evolution of the density of the law of $Y_{T-t}$. It is close to $\\rho_t(x)$, and one can show that it matches exactly when $T \\to +\\infty$ and $\\tau \\to 0$." ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# display evolving density\n", "t_list = T-torch.tensor([0.01, .01, .05, .2, .99*T])\n", "for i in range(len(t_list)):\n", " s = i/len(t_list)\n", " t = t_list[i]\n", " k = torch.round( t/tau ).type(torch.int32) \n", " plt.subplot(len(t_list),1,i+1)\n", " plt.plot(x,rho(x,T-t), color='blue' )\n", " display_histogram(Y[:,k])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Displays sample of trajectories $t \\mapsto Y_t$." ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "display_trajectories(Y, m=100, alpha=.5, linewidth=1)\n", "plt.axis([.4*T, T, -3, 3]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Denoising Score Matching\n", "\n", "In order to be able to implement the reverse diffusion, one needs to compute the score $\\nabla \\log(\\rho_t)$, where $\\rho_t$ is the density of the distribution of $X_t$. The idea is to approximate this score using a function computed from samples of $X_t$.\n", "\n", "$$\n", "\t\\nabla \\log \\rho_t(z) \\approx \\phi_\\theta(z,t) \n", "$$\n", "$$\n", "\t\\underset{\\theta}{\\min} \\quad \n", "\t\\int_t \\int_x \\int_z \\| \\frac{e^{-t} x - z}{1-e^{-2t}} - \\phi_\\theta(z,t) \\|^2 \\, \\text{d} \\mathbb{P}(z|x) \\text{d} \\rho_0(x) \\lambda_t \\text{d} t\n", "$$\n", "where $\\lambda_t$ is a density of sampled time. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To generate the pairs $(X_0,X_t)$ we first sample $X_0$ and then sample $\\mathbb{P}(X_t|X_0)$ which we know in closed form." ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "N = 20000 # number of training samples\n", "X0 = sample_mixture(N, mu,sigma,a)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For the sampling density $\\lambda_t$ of time, we use a uniform distribution of time within $[10^{-2},T]$." ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "Tmin = 1e-1\n", "Tmax = .5\n", "t_list = torch.linspace(Tmin,Tmax,N)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To sample from $\\mathbb{P}(X_t|X_0)$, recall that given $X_0$, then $X_t$ can be sampled as\n", "$$\n", " X_t \\sim e^{-t} X_0 + \\sqrt{1-e^{-2t}} Z\n", "$$\n", "where $Z \\sim \\mathcal{N}(0,1)$." ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": [ "W = torch.randn( (N,) )\n", "Xt = torch.exp(-t_list) * X0 + torch.sqrt(1-torch.exp(-2*t_list)) * W" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Generate for $i \\in \\{1,\\ldots,N\\}$ the input data points $U_i := (z_i \\sim X_{t_i},t_i) \\in \\mathbb{R}^2$ and the output data to predict $V_i := \\frac{e^{-t_i} x_i - z_i}{1-e^{-2t_i}}$ for $x_i \\sim X_0$.\n" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [], "source": [ "def tMap(t): return ( (t-Tmin)/(Tmax-Tmin) - 1/2 ) * 2*xmax # map t to the same range as x to ease training\n", "U = torch.vstack((Xt,tMap(t_list))).T\n", "V = ( torch.exp(-t_list) * X0 - Xt ) / ( 1-torch.exp(-2*t_list) )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Uncomment the following code if you want to use ground trust $\\eta_t$ values for training." ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [], "source": [ "if 0:\n", " rho_v = torch.func.vmap(rho) # parrallel version of rho\n", " def eta_v(x,t):\n", " x1 = x.detach().clone()\n", " x1.requires_grad = True\n", " L = torch.sum( rho_v(x1,t) )\n", " L.backward()\n", " return x1.grad / rho_v(x,t)\n", " Data_out = eta_v(Xt,t_list)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For $\\phi_\\theta(z,t)$, we use a Multilayers Perceptron (MLP) layers neural network with input dimension $2$ (for $(z,t)$) and the output should approximate $\\frac{e^{-t} x - z}{1-e^{-2t}}$ and has dimension $1$. The MLP has a varying number of layers and dimensions, encoded in `d_hidden`." ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [], "source": [ "def weights_init(m):\n", " if isinstance(m, nn.Linear):\n", " torch.nn.init.xavier_normal_(m.weight)\n", " if m.bias is not None:\n", " torch.nn.init.zeros_(m.bias)\n", "class MLP(nn.Module):\n", " def __init__(self, d_in, d_hidden, d_out, dropout_probability=0.1):\n", " super(MLP, self).__init__()\n", " layers = []\n", " layers.append(nn.Linear(d_in, d_hidden[0]))\n", " layers.append(nn.Sigmoid())\n", " layers.append(nn.Dropout(dropout_probability))\n", " for i in range(1, len(d_hidden)):\n", " layers.append(nn.Linear(d_hidden[i-1], d_hidden[i]))\n", " layers.append(nn.Sigmoid())\n", " layers.append(nn.Dropout(dropout_probability))\n", " layers.append(nn.Linear(d_hidden[-1], d_out))\n", " self.mlp = nn.Sequential(*layers)\n", " self.apply(weights_init)\n", " def forward(self, x):\n", " return self.mlp(x)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Create the neural network with 3 hidden layers and initialize its weights." ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [], "source": [ "d_in = 2\n", "d_hidden = [300, 100, 20]\n", "d_out = 1\n", "model = MLP(d_in, d_hidden, d_out, dropout_probability=0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Train the network by minimzing \n", "$$ \n", " \\text{Loss}(\\theta) := \\frac{1}{N} \\sum_{i=1}^N \\| \\phi_\\theta(U_i)-V_i \\|^2\n", "$$ \n", "with respect to the neural network weights and biases $\\theta$ using the Adam optimizer." ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "image/png": 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AAo3A4gOTx4QAAAgqAosPTF5+CABAUBFYfNB8GIg5LAAABB6BxQfePSwkFgAAAo3A4oPmEcVFXgEAIOAILL5oFlLq6l2qrmsIXl0AALgJEVh80HwY6Lur92vsz3eott4VxBoBAHBzIbD44OqJtmU19Sp2VAWnMgAA3IQILD5obdpKmMUIeD0AALhZEVh8wAsPAQAILgKLD1p7Mqi+gRADAECgEFh80Fo0qXcx6RYAgEAhsPiilSGhOnpYAAAIGAKLD1rtYSGwAAAQMAQWH7Q255YhIQAAAofA4oPW3h9Uzxr9AAAEDIHFB631sNQ10MMCAECgEFh80OqQEHNYAAAIGAKLD3isGQCA4CKw+KC1lW7pYQEAIHAILO3EpFsAAAKHwOIDV6sLxzEkBABAoBBYfMCkWwAAgovA4gMm3QIAEFwEFh+0OumWOSwAAAQMgcUHvEsIAIDgIrD4gpVuAQAIKr8CS1ZWlsaOHav4+HglJydr1qxZys/Pv+Y5Tz75pAzDaLENGzbMUyY7O7vVMtXV1e27qw7W+hwWelgAAAgUvwJLbm6u5s+fr3379mn79u2qr6/XjBkzVFFR0eY5y5YtU3FxsWcrLCxUYmKivv71r3uVs9lsXuWKi4sVFRXVvrvqYK0vHEcPCwAAgRLuT+GtW7d67a9atUrJyck6cOCApkyZ0uo5drtddrvds//mm2/q8uXL+s53vuNVzjAMpaam+lOdgKGHBQCA4LqhOSwOh0OSlJiY6PM5K1eu1LRp09SvXz+v4+Xl5erXr5/S09P10EMP6eDBg9e8Tk1NjZxOp9fWWViHBQCA4Gp3YDFNU4sXL9bkyZM1fPhwn84pLi7Wli1b9N3vftfr+JAhQ5Sdna3Nmzdr7dq1ioqK0qRJk3T8+PE2r5WVleXpvbHb7crIyGjvrVyX2UofSx3rsAAAEDDtDiwLFizQ4cOHtXbtWp/Pyc7OVo8ePTRr1iyv4xMmTNC3v/1tjRw5UnfffbfeeOMN3Xbbbfrtb3/b5rWWLFkih8Ph2QoLC9t7K9dFDwsAAMHl1xyWJgsXLtTmzZu1a9cupaen+3SOaZr6wx/+oDlz5igyMvKaZS0Wi8aOHXvNHhar1Sqr1epXvdur9cBCDwsAAIHiVw+LaZpasGCBNmzYoPfee0/9+/f3+dzc3FydOHFCc+fO9enn5OXlKS0tzZ/qdRpWugUAILj86mGZP3++1qxZo02bNik+Pl4lJSWS3E8CRUdHS3IP1RQVFWn16tVe565cuVLjx49vdb7L0qVLNWHCBA0aNEhOp1PLly9XXl6eXn755fbeV4dipVsAAILLr8CyYsUKSdI999zjdXzVqlV68sknJbkn1hYUFHh97nA4lJOTo2XLlrV63dLSUj399NMqKSmR3W7XqFGjtGvXLo0bN86f6nWa1oaEmHQLAEDgGGZr4x1dkNPplN1ul8PhkM1m69Brj39+h846a7yOfWVkby3/5qgO/TkAANxsfP39zbuEfNDqpFt6WAAACBgCiw+YwwIAQHARWHzQeg8LgQUAgEAhsPiklZVuWYcFAICAIbD4gJVuAQAILgKLD1p/WzM9LAAABAqBxQcuVroFACCoCCw+YEgIAIDgIrD4oLW19Zh0CwBA4BBYfNBaXwqBBQCAwCGw+KK1dwkxJAQAQMAQWHxADwsAAMFFYPFBa3NYausJLAAABAqBxQet9bDU0sMCAEDAEFh80NpjzQwJAQAQOAQWH5it9LEwJAQAQOAQWHzQWg+Ly5QaWO0WAICAILD4oLXAIkk19Q36/V9O6sDnlwJbIQAAbjLhwa5AV9DakJAkvXnwjH7+9jFJ0ukXHgxklQAAuKnQw+KDtnpY9p++1KwMw0MAAHQWAosPro4ikWHuZiutqvMcu1BeG8AaAQBwcyGw+ODq3pPIcHeznTxf7jl2prQqoHUCAOBmQmC5DtM0dfXDQBFhhiTp9MVKz7EiAgsAAJ2GwHIdD/12d4tjEWEtm63oMoEFAIDOQmC5jsTYyBbHmoaEmqOHBQCAzkNguY6MxJgWxyJb6WG5XMmkWwAAOguB5TrSE6JbHGttSMjR7IkhAADQsQgs19GnR8vA0tqQEIEFAIDOQ2C5jvSElkNCTU8JNeeoJLAAANBZCCzXkZF47R6WhJgISfSwAADQmQgs15EcH6V/GN/X61jzOSxNPTCOqjqW5wcAoJMQWHzw/FfvUFTElaZq/pRQ0xyXepepytqGgNcNAICbAYHFRy7Xle+bDwkl26yeOS2lDAsBANApCCw+amg23NN8SCg+Klz26MZ5LEy8BQCgU/gVWLKysjR27FjFx8crOTlZs2bNUn5+/jXP2blzpwzDaLF9+umnXuVycnI0dOhQWa1WDR06VBs3bvT/bjpRQ7MXCjXvYYmzRlwJLPSwAADQKfwKLLm5uZo/f7727dun7du3q76+XjNmzFBFRcV1z83Pz1dxcbFnGzRokOezvXv3avbs2ZozZ44OHTqkOXPm6LHHHtMHH3zg/x0FQPMelrjmPSxVrHYLAEBnCPen8NatW732V61apeTkZB04cEBTpky55rnJycnq0aNHq5+99NJLmj59upYsWSJJWrJkiXJzc/XSSy9p7dq1/lQxICKbrcMSbw33vG/oUgU9LAAAdIYbmsPicDgkSYmJidctO2rUKKWlpWnq1Kl6//33vT7bu3evZsyY4XXs/vvv1549e9q8Xk1NjZxOp9cWKLUNV4aHBqXEKSnWKkm6UF4TsDoAAHAzaXdgMU1Tixcv1uTJkzV8+PA2y6Wlpel3v/udcnJytGHDBg0ePFhTp07Vrl27PGVKSkqUkpLidV5KSopKSkravG5WVpbsdrtny8jIaO+t+OQ3j42UJC39yjAdPePwHB+aZlPPeHcPy0UCCwAAncKvIaHmFixYoMOHD2v37t3XLDd48GANHjzYs5+ZmanCwkL96le/8hpGMgzv5e5N02xxrLklS5Zo8eLFnn2n09mpoeVrd6Xr/mGpirWGK8Vm1bzXP9K/zBwiwzCa9bAwhwUAgM7QrsCycOFCbd68Wbt27VJ6errf50+YMEGvv/66Zz81NbVFb8q5c+da9Lo0Z7VaZbVa/f7ZNyLW6m6uB4an6dD/niF747L8PeMZEgIAoDP5NSRkmqYWLFigDRs26L333lP//v3b9UMPHjyotLQ0z35mZqa2b9/uVWbbtm2aOHFiu64fCE1hRZJ6Nk66JbAAANA5/OphmT9/vtasWaNNmzYpPj7e0ytit9sVHe1eon7JkiUqKirS6tWrJbmfALrllls0bNgw1dbW6vXXX1dOTo5ycnI81120aJGmTJmiF198UY888og2bdqkHTt2XHe4KVQ09bBcrKjV7/9yUms+KNAfnxqnjMSWb3oGAAD+86uHZcWKFXI4HLrnnnuUlpbm2davX+8pU1xcrIKCAs9+bW2tfvSjH2nEiBG6++67tXv3br399tv62te+5ikzceJErVu3TqtWrdKIESOUnZ2t9evXa/z48R1wi50vqbGHpbSyTj9/+5hOXqjQf+77PMi1AgCg+zDMbvKKYafTKbvdLofDIZvNFtCf7XKZGvLTraptuPLCockDe+r173aNwAUAQLD4+vubdwl1AIvF0KSBSV7HDnx+WXXNAgwAAGg/AksHmXr7lSeaLIZUVdegLy5XBbFGAAB0HwSWDvL1Mel6IrOfln3jTvVtnGx7voynhgAA6AgElg5iDQ/T0keG65E7+6hX41ND58qqg1wrAAC6BwJLJ0iOj5IknXPSwwIAQEcgsHSCph6W8ywkBwBAhyCwdIJkW+OQED0sAAB0CAJLJ+gVxxwWAAA6EoGlEyTb3HNYeEoIAICOQWDpBD3jml6GWBvkmgAA0D0QWDpBz8YhocuVtXK5usWbDwAACCoCSydIiHH3sDS4TDmr64JcGwAAuj4CSyeIDLcoPipcEsNCAAB0BAJLJ0mKdfeyXKogsAAAcKMILJ0k0RNYeFIIAIAbRWDpJEmNE28v0sMCAMANI7B0Es+QEHNYAAC4YQSWTtI0JEQPCwAAN47A0kmSG1+AeNbJ8vwAANwoAksnSU+IkSR9cbkqyDUBAKDrI7B0kj4J0ZKkLy5XBrkmAAB0fQSWTtIUWC5X1qmipj7ItQEAoGsjsHQSW1SE7NERkqSiUoaFAAC4EQSWTtSnh7uXpfASw0IAANwIAksnGpwaL0n664mLQa4JAABdG4GlEz14R5ok6c+Hz6jBZQa5NgAAdF0Elk405bZeSoiJ0LmyGm07WhLs6gAA0GURWDpRZLhF357QT5K06q+ng1sZAAC6MAJLJ/vqqD6SpMNFpXIxLAQAQLsQWDpZ38QYhVsMVde5dLaMZfoBAGgPAksnCw+zKCPRvUz/qfMVQa4NAABdE4ElAG5JagwsFwksAAC0B4ElAPr3jJMknb5AYAEAoD38CixZWVkaO3as4uPjlZycrFmzZik/P/+a52zYsEHTp09Xr169ZLPZlJmZqXfffderTHZ2tgzDaLFVV3ePOR/pje8VOuPoHvcDAECg+RVYcnNzNX/+fO3bt0/bt29XfX29ZsyYoYqKtnsOdu3apenTp+udd97RgQMHdO+99+rhhx/WwYMHvcrZbDYVFxd7bVFRUe27qxDTM94qSbpYXhPkmgAA0DWF+1N469atXvurVq1ScnKyDhw4oClTprR6zksvveS1//zzz2vTpk166623NGrUKM9xwzCUmprqT3W6jJ6xkZKki+W1Qa4JAABd0w3NYXE4HJKkxMREn89xuVwqKytrcU55ebn69eun9PR0PfTQQy16YLqypLjGHpYKAgsAAO3R7sBimqYWL16syZMna/jw4T6f9+tf/1oVFRV67LHHPMeGDBmi7Oxsbd68WWvXrlVUVJQmTZqk48ePt3mdmpoaOZ1Ory1UJcW5e1guV9aqvsEV5NoAAND1+DUk1NyCBQt0+PBh7d692+dz1q5dq+eee06bNm1ScnKy5/iECRM0YcIEz/6kSZN011136be//a2WL1/e6rWysrK0dOnS9lY/oBJiImUYkmlKlyvr1KtxTgsAAPBNu3pYFi5cqM2bN+v9999Xenq6T+esX79ec+fO1RtvvKFp06Zdu1IWi8aOHXvNHpYlS5bI4XB4tsLCQr/uIZDCLIYSYxrnsVQw8RYAAH/51cNimqYWLlyojRs3aufOnerfv79P561du1ZPPfWU1q5dqwcffNCnn5OXl6c77rijzTJWq1VWa9fpqUiKi9TFilom3gIA0A5+BZb58+drzZo12rRpk+Lj41VSUiJJstvtio52rzWyZMkSFRUVafXq1ZLcYeXxxx/XsmXLNGHCBM850dHRstvtkqSlS5dqwoQJGjRokJxOp5YvX668vDy9/PLLHXajwZYUa5VUrgs82gwAgN/8GhJasWKFHA6H7rnnHqWlpXm29evXe8oUFxeroKDAs//qq6+qvr5e8+fP9zpn0aJFnjKlpaV6+umndfvtt2vGjBkqKirSrl27NG7cuA64xdDQNPGWHhYAAPxnmKZpBrsSHcHpdMput8vhcMhmswW7Oi08t/mosvec1vx7b9X/un9IsKsDAEBI8PX3N+8SCpAkFo8DAKDdCCwB0rR4HHNYAADwH4ElQJrmsFyghwUAAL8RWAKkZxzrsAAA0F4ElgBxP9bMHBYAANqDwBIgTUNClbUNqqytD3JtAADoWggsARJnDZc13N3c58sYFgIAwB8ElgAxDEO3JMVKkk6erwhybQAA6FoILAE0MDlOknTiXHmQawIAQNdCYAmgWwksAAC0C4ElgDw9LOcJLAAA+IPAEkBDUuMlSUfPOFRd1xDk2gAA0HUQWAJoUHKckuOtqq5zaf/py8GuDgAAXQaBJYAMw9CXbuslScr97FyQawMAQNdBYAmwcf0TJUkfFzmDXBMAALoOAkuADUm1SZI+O1sW5JoAANB1EFgCbGBynAxDulhRy4q3AAD4iMASYNGRYZ4Vb+llAQDANwSWILi1l3s9lr+zHgsAAD4hsARBekK0JOlMaXWQawIAQNdAYAmCPj2aAktVkGsCAEDXQGAJgj4JBBYAAPxBYAmC3vSwAADgFwJLEPTuESVJKnFWq67BFeTaAAAQ+ggsQdAz1qrIMItcplTiYOItAADXQ2AJAovFUN+kGEnS6YsVQa4NAAChj8ASJP17uhePO3mewAIAwPUQWIJkQK+mwMLicQAAXA+BJUgGNPWwXKCHBQCA6yGwBMmAxuX5PznjVG09TwoBAHAtBJYgGZFuV3K8VRcrarV67+lgVwcAgJBGYAkSa3iY5k7uL0n6+dvHtDP/XJBrBABA6CKwBNHcyf01c3iqJOmPe04HtzIAAIQwAksQhYdZ9L/uHyxJyv3svM6VsYgcAACt8SuwZGVlaezYsYqPj1dycrJmzZql/Pz8656Xm5ur0aNHKyoqSgMGDNArr7zSokxOTo6GDh0qq9WqoUOHauPGjf5Urcsa0CtOI9LtcpnSzk/PB7s6AACEJL8CS25urubPn699+/Zp+/btqq+v14wZM1RR0fajuadOndKXv/xl3X333Tp48KCeeeYZ/eAHP1BOTo6nzN69ezV79mzNmTNHhw4d0pw5c/TYY4/pgw8+aP+ddSH3Dk6WJP33p2dVWVsf5NoAABB6DNM0zfaefP78eSUnJys3N1dTpkxptcyPf/xjbd68WceOHfMcmzdvng4dOqS9e/dKkmbPni2n06ktW7Z4yjzwwANKSEjQ2rVrfaqL0+mU3W6Xw+GQzWZr7y0FxcdFDj30292e/f/zP0bosTEZQawRAACB4evv7xuaw+JwOCRJiYmJbZbZu3evZsyY4XXs/vvv1/79+1VXV3fNMnv27GnzujU1NXI6nV5bVzW8j13fHNfXs//MhiMqKq0KYo0AAAgt7Q4spmlq8eLFmjx5soYPH95muZKSEqWkpHgdS0lJUX19vS5cuHDNMiUlJW1eNysrS3a73bNlZHTtHomfzxqu1U+NU7+kGNW7TO345GywqwQAQMhod2BZsGCBDh8+7NOQjWEYXvtNo1DNj7dW5upjzS1ZskQOh8OzFRYW+lP9kBNmMTTltl6enpb3PmVdFgAAmrQrsCxcuFCbN2/W+++/r/T09GuWTU1NbdFTcu7cOYWHhyspKemaZa7udWnOarXKZrN5bd3B1CHuCbh7T15kAi4AAI38CiymaWrBggXasGGD3nvvPfXv3/+652RmZmr79u1ex7Zt26YxY8YoIiLimmUmTpzoT/W6hYHJcUpPiFZtvUt7TlwMdnUAAAgJfgWW+fPn6/XXX9eaNWsUHx+vkpISlZSUqKrqygTRJUuW6PHHH/fsz5s3T59//rkWL16sY8eO6Q9/+INWrlypH/3oR54yixYt0rZt2/Tiiy/q008/1YsvvqgdO3bohz/84Y3fYRdjGIbua+xlefdo23N4AAC4mfgVWFasWCGHw6F77rlHaWlpnm39+vWeMsXFxSooKPDs9+/fX++884527typO++8Uz/72c+0fPlyPfroo54yEydO1Lp167Rq1SqNGDFC2dnZWr9+vcaPH98Bt9j1PDyytyRp06EzOl9WE+TaAAAQfDe0Dkso6crrsFzNNE19bcUeHSwo1YJ7B+pHjcv3AwDQ3QRkHRZ0DsMw9I9TbpUkrd57WhU1TL4FANzcCCwhavrQFPVLipGzul7vHCkOdnUAAAgqAkuICrMYnuX5//RBAb0sAICbGoElhD16V7oiwy3KKyzVsGff1dOr96u6riHY1QIAIOAILCEs1R6lrK/eoaYFf7d9clar954Oap0AAAgGAkuIe3R0uj76yXQ9+/BQSdIruSfpZQEA3HQILF1AQmyk5kzopz49onWpolZ/PswkXADAzYXA0kWEh1n0rQnuFyP+cc9pdZPlcwAA8AmBpQv5xti+igy36EiRQx8VXA52dQAACBgCSxeSGBupWXe6l+3/t+3Hg1wbAAACh8DSxSy8b5AiwyzafeKCNuUVBbs6AAAEBIGli8lIjNH373Ev2/9P6/P00zc/5qkhAEC3R2DpghbeN1BfG9VHLlP6z32f6xdvHwt2lQAA6FQEli4oPMyi38y+U698e7Qk6U8ffK78krIg1woAgM5DYOnCHhieqpnDU+Uypd9sz+dRZwBAt0Vg6eJ+OO02GYb07tGz+nHOYTmr64JdJQAAOhyBpYsbnBqvZx9yL9v/xv4v9Ngre3WxvCbItQIAoGMRWLqBJyf115rvjVeveKs+LSnTU3/cr8ra+mBXCwCADkNg6SYm3tpTa783QT1iInSosFRzs/czPAQA6DYILN3IwOQ4rXxijGIjw7T35EU99spe/f18ebCrBQDADSOwdDOj+yVq/T9meoaHvvryX3Ws2BnsagEAcEMILN3Q8D52vbVgsu7M6CFndb2e/s/9KmN4CADQhRFYuqlUe5T++J1x6tMjWoWXqjQ3e79KHNXBrhYAAO1CYOnG7DERWvHtuxRvDdffTl/SA8t2ae/fLwa7WgAA+I3A0s2NSO+h//v9iRrex6bSyjp9J/tv2vP3C8GuFgAAfiGw3AQGp8br/86bqHsH91J1nUtPZX+oNR8UsJQ/AKDLILDcJKIiwrTi26M9oeWZjUc094/7da6MeS0AgNBHYLmJREWEaeUTY/WvX75dkWEWvffpOd3/b7v01qEz9LYAAEIageUmY7EY+t6UAXpr4WQNTbPpcmWdFq49qH947QOdOFcW7OoBANAqAstNanBqvN6cP0mLpg6SNdyivScv6svLdus32z9TRQ3vIQIAhBbD7CZjAU6nU3a7XQ6HQzabLdjV6VIKL1Xquc1H9d+fnpMk9YyL1KJpt+mbYzMUHkamBQB0Hl9/fxNYIEkyTVNbPi7R/9n6qU5frJQkDegZq+9NGaCvjuqjqIiwINcQANAdEVjQLnUNLq35oED/tuMzlVa6l/PvGRepJzJv0bcn9FNCbGSQawgA6E4ILLghZdV1Wv9hof6w+5TONC7pHxVh0VdG9tbssX11V98eMgwjyLUEAHR1vv7+9nuCwq5du/Twww+rd+/eMgxDb7755jXLP/nkkzIMo8U2bNgwT5ns7OxWy1RXs0ZIsMRHRei7dw9Q7v93r5Z9404NTbOpus6lN/Z/oUdX7NHUX+fqpR2f6dSFimBXFQBwEwj394SKigqNHDlS3/nOd/Too49et/yyZcv0wgsvePbr6+s1cuRIff3rX/cqZ7PZlJ+f73UsKirK3+qhg0WEWfTInX30lZG99eHpy1r/YaHePnJGJy9U6KUdx/XSjuO6Pc2mabcna9rtKbqjj10WCz0vAICO5XdgmTlzpmbOnOlzebvdLrvd7tl/8803dfnyZX3nO9/xKmcYhlJTU/2tDgLEMAyN65+ocf0TtfSRYdp2tESb8s5o94kLOlbs1LFip3773gklxkYq89YkTbq1pyYNTFLfxBiGjgAAN8zvwHKjVq5cqWnTpqlfv35ex8vLy9WvXz81NDTozjvv1M9+9jONGjWqzevU1NSopqbGs+90OjutzvAWZw3X1+5K19fuStelilq9/+k5/fenZ7Xrswu6VFGrtw8X6+3DxZKknnFW3ZnRQ6P69tCojB4akdFDcdaA/7UDAHRxAf3NUVxcrC1btmjNmjVex4cMGaLs7GzdcccdcjqdWrZsmSZNmqRDhw5p0KBBrV4rKytLS5cuDUS1cQ2JsZF6dHS6Hh2drtp6lw59Uaq/nrigPScu6mDhZV0or9GOY2e149hZSZJhSP2TYjU4NV63pcR7vt6SFMOaLwCANt3QU0KGYWjjxo2aNWuWT+WzsrL061//WmfOnFFkZNuPx7pcLt11112aMmWKli9f3mqZ1npYMjIyeEoohFTXNejoGYcOFpTqYGGp8gpKVVRa1WrZyDCLbk2O020pceqbGKOMhBilJ0YrIyFGafYowgwAdFO+PiUUsB4W0zT1hz/8QXPmzLlmWJEki8WisWPH6vjx422WsVqtslqtHV1NdKCoiDCN7peo0f0SPcfOlVUrv6RM+SVl+uxsmfLPluv42TJV1jZ45sJcLcxiKM0epTR7lFLt0UqzRynF1rQfpVRblJLjrYQaAOjGAhZYcnNzdeLECc2dO/e6ZU3TVF5enu64444A1AyBlBwfpeT4KN09qJfnmMtlqqi0SvklZTpxvlyFlypVeLlKX1yq1BeXq1Tb4NIXl6v0xeUqSZdbva7FkHrFW5Vqc4eYNHu0V6hpCjms2AsAXZPfgaW8vFwnTpzw7J86dUp5eXlKTExU3759tWTJEhUVFWn16tVe561cuVLjx4/X8OHDW1xz6dKlmjBhggYNGiSn06nly5crLy9PL7/8cjtuCV2NxWIoIzFGGYkxmqYUr89cLlPnymr0xeVKlTirVeKoVrGj2vN9iaNaZ53VqneZOuus0VlnjQ594WjzZyXERCjVHq1Um9XTW3Ml5EQpxR6leGs4TzYBQIjxO7Ds379f9957r2d/8eLFkqQnnnhC2dnZKi4uVkFBgdc5DodDOTk5WrZsWavXLC0t1dNPP62SkhLZ7XaNGjVKu3bt0rhx4/ytHroZi8VwD/vY216Tx+UydaGixhNgSpzuUHO2WbgpdlSpus6ly5V1ulxZp2PFbf/M2Mgwz89MtUUrxWZVzzirkuIiPV+TYq1KiIlgGAoAAoSl+XFTME1Tzqp6FTurvMNMs96aYkeVnNX1Pl/TMKSEmEglxkYqKdY7zLjDTaSS4qxKinV/tUXRcwMESm29S/9708f6y/EL+t3jozWst/36JyEoQm7SLRBMhmHIHhMhe0yEhqS2/R9EZW19i56ac85qXayo1cXyWl2sqNHF8lpdqqyVaUqXKmp1qaJWJ9q84hURYYYnzCQ2BZzGMJNis6pfUoz6JcUqKTYy6MGmsrZey//7hKbdnqwxtyRe/wQgxLyxv1DrPiyUJP33sXMElm6AwAI0ExMZrgG94jSgV9w1yzW4TF2ubAwx5TW6UOH+6g41jd83O1ZWU6+6BtPdm+O89juyYiPD1DcpVrckxahvUoxu7RWnwSnxGpQSp5jIwPwnu3TzJ1q/v1BrPvhch5+7PyA/E+hIHxVcmaB/8nx5EGuCjkJgAdohzGKoZ5x7bosUf93y1XUNutTYS3OhsZfmYnmNLlXU6nx5jYpLq1VwqVJnHFWqaOMRb8OQMhJiGhfci9PgVJsGp8Srf89YRYZ33Fya6roGrd/v/j9TZ3W9ih1VigizNN4rblR1XYOqahuUEHvt5R1wY44WXfnv5yQvae0WCCxAAERFhKl3j2j17hF9zXI19Q0qvFSlgksVOn2hUp9frNCJ8+XKLynXhfIaFVyqVMGlSs/KwZJ7qGlAzzgNTnWvHDy4cQXhPj2i2/Uiyr+duuS1n5n1npLjrdrxz19SZJiFR8NvwP7Tl/RU9oeqqG3Qxv85USPSewS7St1SdV2DTjTrVTl1vkKOyjrtO3VR029P4QWtXRSBBQgh1vAwDUyO08DklkNSF8trlH+2TJ+VuBfcyy9x6rOz5SqvqVf+2TLlny2TDl0pHxsZpttS4zWk2WsQBqfEK/E6c2RyPzvf4ti5shqNeG6bYiPDtHruOH1+sVIzh6cpOpLw4o+sLZ96Jnb/+XAxgaWTfFzkUIPLVHxUuCpq6lVWU69vvLZPx4qd+smDt+u7dw8IdhXRDgQWoItIirNqYpxVE2/t6TlmmlcW3cs/W+ZZRfjv58tVUdvgfi1CQanXdWIiw5SeEK30hBj16RGtPgnR6hlnVWJshExT2niwSJLUp0d0i1cpVNQ26NEVeyVJmw+dUUSYRdNuT9aU23opJjJc9uiIzm2ELuzjIocOfH5lXsWuz87rf4xO11+OX9C3xvel56oD/fXERUnSlEG9dKTIoYJLlZ4h1tf+cpLA0kURWIAuzDAMpSfEKD0hRlNvv7LoXl2DS6cuVHgCzKeNr0IouFSpytoGfXa2XJ+dbXsi4m0pcVr+zVF64KW/tFlmZ767J2b7J2e9jo/vn6h6l6lRGT2U1iNa4RZDfZNiZJqmBqfaVFVbr/SEGNU2uG6qRfqy95yWJN09qKd2n7igT0vK9Nire1VaWadDhaVaeN9A/eX4Bf0D4eWG/fXvFyRJEwcmqbymXgWXKj2fnS+r0eI38pSeEKN5XxoQsInsuHH8SQHdUESYRbeluIeCHh555Xh1XYPOlFZ5XnVQVFqpostVulhRq9LKOjmq6jQoOU4/fWiobukZqx/NuE07889rZEYPrdx9SsN62/RJsVPXWr3pg8Y5MM17E9oSHxWucIuh6IgwxVrDZRhSj+hINZimYiLDFBsZrqgIiyLDG7ewMEWEG7KGXTkWEda0GYoIsyg8zKIIi6HwMIvCwwxFWNyfhTeWCbc0L+v+GmYxFG4xGr9e2e+ouQ67j1/Qpjx3z9UPp92m0so6HSlyqLSyTpK7t2rzoTOSpI/POJSeEKPzZTVaeN9AHSwo1dj+CeoVZ5XLdE/4RttOXajQ/tPuv4N3D+ylE+fKvYY5Xaa04SP3n8WHpy7pXFm15k4eoDG3JCjOGn7deWYIHhaOA3Bdpmnq7+crdGuvWH1xuUqJsZEqrapTuMXQf+0v1IQBSVrztwJFRYSpurZBnxQ7FR8Vruo6l0qrahURZpGjsk6XKt3f19a7gn1LPrEY8gowYWHewSY8zGgWdizNPjNkMQxV1tXLWXXl//AfvCNN//4Po/Srbfl6+f2/+12fMIuhwSnxqqprUKotSik2qy5X1ql/z1jVNbhkGFJKfJRKq+oUHRGm6MgwNbhM2aLCFRZmUUODS1ERYZ7QYzHc9bVYDIU1fu/epDCLxeuYxXD36FmMK+cZjd9bjCufe8rK/XlTGc9Xucs137cYhmTI62c0nd/yXLXaK9fgMvXF5Ur9OOew9p28pKlDkrXyybH6z32f66dvfuxT+ybGRipzQJKKSqv0yJ29dbG8VpMG9lRFTb0Gp8arrLpeGYnRqqprUFKsVXUNLkWGWZjEe4N8/f1NYAEQEKZpqsHl/ufmUmWt4q0ROn2xQmEWQ86qOtU2uFTfYKqsul5hFqmytkEVNfWqrnOptsGl2nr317r6Zvv1LtU0uFTfeG7TNepdLtU1fa03VedqPN7gUp2r8WuDqboGlxpcpupdnfvPoGFIXx3VRz+fNVwxkeHKKyzVrJf/quR4q5Z+ZZi+/6ePFG8N1/A+du09ebFT69JdXB1u6l0uNf0xRkeE6b/mZWp4H7t25p/Tk6s+lCQ9ntlPq/d+3iE/PzLc4gksEWEWNbhM2aMjVFlbL3tMhGrrXYqOCJM1PMwTsiyegHf1vjuweQLZVWHNfb+NAVDNjzddyzsgXvm+WcjTlX1dHQCbnSvPz252XFdC4tzJ/ZWRGNMhbdiElW4BhBTDMBQe5v5HLzne/W6o29NC438uTNOUy5TqXe4AU9dgNgaZxkDj2b9y3B2MrirnMtXQeNxlmp6hrlt7xSqp2To2d2b00Bv/mKlbkmKUbIvSn747Xn0T3ZOgt3xcokEpcbIY0vGz5RrXP1H7Tl6So8rdk3L4i1L1TYxRUWmVSivrlGqP0vGzZYqPilCdy6XSijr1iIlQTb1LVbUNslgkR1WdXC53D01VXYNcjf+f6jLd7+JqcJlqME25XFfqXt/Q+LVx3zQll+n+3uVq9r15JYy6msq4TJmS5xyzsY2992/sz8zVeJEG95+gJCncYuiufglaMnOIhvdxr2w75pZEZSRGa3BKvP5p2m3a8clZ3ZocJ8Mw9HGRQ18d1UdvfFioe4Yka+en52SPidAXl6sUbw1XWU194zBlhC5X1skablFNY+9gUy9hTb3Lc6yqzl0bf17x0dV85c7eHR5YfEUPCwAgKMxmgcdlSqbcoaZ5sGkKS1cHHpdpSqY854UZhpLirG3O8TFNU4ZhyOUyZbEYMk1TNfXuIbKrP6uqbVB4mCFX4zvIEmMj9fnFCt2S5B4STYiN0PmyGkWGW+RySZV19YoKD1NpVZ1iI8PkrK5TZFiYquoaVFvv8tyXd/Br2jfV4Gp27411dde52f3rShs0L9v8czULg1fa1Pt6rZ0rr2t7t7/XNWXqW+P7dfg8H3pYAAAhzTAMhTWNUQTgZ0nyzDcxDMPzNNbVnzVfX6hXvPv7ptd19E1y9y7ER/EIf6B13HreAAAAnYTAAgAAQh6BBQAAhDwCCwAACHkEFgAAEPIILAAAIOQRWAAAQMgjsAAAgJBHYAEAACGPwAIAAEIegQUAAIQ8AgsAAAh5BBYAABDyus3bmpten+10OoNcEwAA4Kum39tNv8fb0m0CS1lZmSQpIyMjyDUBAAD+Kisrk91ub/Nzw7xepOkiXC6Xzpw5o/j4eBmG0WHXdTqdysjIUGFhoWw2W4ddt7uivXxHW/mOtvIdbeUf2st3ndVWpmmqrKxMvXv3lsXS9kyVbtPDYrFYlJ6e3mnXt9ls/GX2A+3lO9rKd7SV72gr/9BevuuMtrpWz0oTJt0CAICQR2ABAAAhj8ByHVarVc8++6ysVmuwq9Il0F6+o618R1v5jrbyD+3lu2C3VbeZdAsAALovelgAAEDII7AAAICQR2ABAAAhj8ACAABCHoHlOv7jP/5D/fv3V1RUlEaPHq2//OUvwa5SwO3atUsPP/ywevfuLcMw9Oabb3p9bpqmnnvuOfXu3VvR0dG65557dPToUa8yNTU1WrhwoXr27KnY2Fh95Stf0RdffBHAuwiMrKwsjR07VvHx8UpOTtasWbOUn5/vVYb2cluxYoVGjBjhWYQqMzNTW7Zs8XxOO7UtKytLhmHohz/8oecY7eX23HPPyTAMry01NdXzOe3UUlFRkb797W8rKSlJMTExuvPOO3XgwAHP5yHTZibatG7dOjMiIsJ87bXXzE8++cRctGiRGRsba37++efBrlpAvfPOO+a//uu/mjk5OaYkc+PGjV6fv/DCC2Z8fLyZk5NjHjlyxJw9e7aZlpZmOp1OT5l58+aZffr0Mbdv325+9NFH5r333muOHDnSrK+vD/DddK7777/fXLVqlfnxxx+beXl55oMPPmj27dvXLC8v95Shvdw2b95svv3222Z+fr6Zn59vPvPMM2ZERIT58ccfm6ZJO7Xlb3/7m3nLLbeYI0aMMBctWuQ5Tnu5Pfvss+awYcPM4uJiz3bu3DnP57STt0uXLpn9+vUzn3zySfODDz4wT506Ze7YscM8ceKEp0yotBmB5RrGjRtnzps3z+vYkCFDzH/5l38JUo2C7+rA4nK5zNTUVPOFF17wHKuurjbtdrv5yiuvmKZpmqWlpWZERIS5bt06T5mioiLTYrGYW7duDVjdg+HcuXOmJDM3N9c0TdrrehISEszf//73tFMbysrKzEGDBpnbt283v/SlL3kCC+11xbPPPmuOHDmy1c9op5Z+/OMfm5MnT27z81BqM4aE2lBbW6sDBw5oxowZXsdnzJihPXv2BKlWoefUqVMqKSnxaier1aovfelLnnY6cOCA6urqvMr07t1bw4cP7/Zt6XA4JEmJiYmSaK+2NDQ0aN26daqoqFBmZibt1Ib58+frwQcf1LRp07yO017ejh8/rt69e6t///76xje+oZMnT0qinVqzefNmjRkzRl//+teVnJysUaNG6bXXXvN8HkptRmBpw4ULF9TQ0KCUlBSv4ykpKSopKQlSrUJPU1tcq51KSkoUGRmphISENst0R6ZpavHixZo8ebKGDx8uifa62pEjRxQXFyer1ap58+Zp48aNGjp0KO3UinXr1umjjz5SVlZWi89oryvGjx+v1atX691339Vrr72mkpISTZw4URcvXqSdWnHy5EmtWLFCgwYN0rvvvqt58+bpBz/4gVavXi0ptP5udZu3NXcWwzC89k3TbHEM7Wun7t6WCxYs0OHDh7V79+4Wn9FeboMHD1ZeXp5KS0uVk5OjJ554Qrm5uZ7PaSe3wsJCLVq0SNu2bVNUVFSb5WgvaebMmZ7v77jjDmVmZurWW2/VH//4R02YMEES7dScy+XSmDFj9Pzzz0uSRo0apaNHj2rFihV6/PHHPeVCoc3oYWlDz549FRYW1iIdnjt3rkXSvJk1zb6/VjulpqaqtrZWly9fbrNMd7Nw4UJt3rxZ77//vtLT0z3HaS9vkZGRGjhwoMaMGaOsrCyNHDlSy5Yto52ucuDAAZ07d06jR49WeHi4wsPDlZubq+XLlys8PNxzv7RXS7Gxsbrjjjt0/Phx/l61Ii0tTUOHDvU6dvvtt6ugoEBSaP2bRWBpQ2RkpEaPHq3t27d7Hd++fbsmTpwYpFqFnv79+ys1NdWrnWpra5Wbm+tpp9GjRysiIsKrTHFxsT7++ONu15amaWrBggXasGGD3nvvPfXv39/rc9rr2kzTVE1NDe10lalTp+rIkSPKy8vzbGPGjNG3vvUt5eXlacCAAbRXG2pqanTs2DGlpaXx96oVkyZNarH0wmeffaZ+/fpJCrF/szps+m431PRY88qVK81PPvnE/OEPf2jGxsaap0+fDnbVAqqsrMw8ePCgefDgQVOS+Zvf/MY8ePCg5/HuF154wbTb7eaGDRvMI0eOmN/85jdbfeQtPT3d3LFjh/nRRx+Z9913X7d8TPD73/++abfbzZ07d3o9VllZWekpQ3u5LVmyxNy1a5d56tQp8/Dhw+YzzzxjWiwWc9u2baZp0k7X0/wpIdOkvZr88z//s7lz507z5MmT5r59+8yHHnrIjI+P9/y7TTt5+9vf/maGh4ebv/jFL8zjx4+bf/rTn8yYmBjz9ddf95QJlTYjsFzHyy+/bPbr18+MjIw077rrLs/jqTeT999/35TUYnviiSdM03Q/9vbss8+aqampptVqNadMmWIeOXLE6xpVVVXmggULzMTERDM6Otp86KGHzIKCgiDcTedqrZ0kmatWrfKUob3cnnrqKc9/W7169TKnTp3qCSumSTtdz9WBhfZya1ojJCIiwuzdu7f5ta99zTx69Kjnc9qppbfeesscPny4abVazSFDhpi/+93vvD4PlTYzTNM0O66/BgAAoOMxhwUAAIQ8AgsAAAh5BBYAABDyCCwAACDkEVgAAEDII7AAAICQR2ABAAAhj8ACAABCHoEFAACEPAILAAAIeQQWAAAQ8ggsAAAg5P0/Rc+5NU+ssnwAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "optimizer = torch.optim.Adam(model.parameters(), lr=0.001*10)\n", "num_epochs = 600\n", "Loss_list = []\n", "for epoch in range(num_epochs):\n", " optimizer.zero_grad()\n", " loss = torch.sum( ( model(U).flatten() - V.flatten() )**2 ) / N\n", " loss.backward()\n", " optimizer.step()\n", " Loss_list.append( loss.item())\n", "plt.plot(Loss_list);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Evaluate $g_\\theta(z,t)$ on a grid and compare it with $\\eta_t(z)$." ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nT = 100\n", "nX = 200\n", "Tlist = torch.linspace(Tmin,Tmax,nT)\n", "Xlist = torch.linspace(-xmax,xmax,nX)\n", "A = torch.zeros((nX,nT))\n", "B = torch.zeros((nX,nT))\n", "for i in range(nT):\n", " A[:,i] = eta( Xlist, Tlist[i] ) # ground trust to predict \n", " Z1 = torch.vstack((Xlist, Xlist*0+tMap(Tlist[i]) )).T\n", " B[:,i] = model( Z1 ).flatten() # approximation with neural network\n", "plt.subplot(1,2,1)\n", "plt.imshow(A, extent=[Tmin, Tmax, -xmax,xmax], aspect='auto')\n", "plt.title('$\\\\eta_t(z)$')\n", "plt.ylabel('z')\n", "plt.xlabel('t')\n", "plt.subplot(1,2,2)\n", "plt.imshow(B.detach().numpy(), extent=[Tmin, Tmax, -xmax,xmax], aspect='auto')\n", "plt.title('$\\\\phi_{\\\\theta}(z,t)$')\n", "plt.xlabel('t');" ] } ], "metadata": { "kernelspec": { "display_name": "base", "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": "3.10.8" }, "orig_nbformat": 4 }, "nbformat": 4, "nbformat_minor": 2 }