{ "cells": [ { "cell_type": "markdown", "id": "483c8e4b", "metadata": { "id": "483c8e4b" }, "source": [ "# Differentiable Total Variation Denoising\n", "\n", "[Total variation denoising](https://en.wikipedia.org/wiki/Total_variation_denoising) is an effective technique for eliminating noise from a signal while maintaining its distinct features. The algorithm employed in total variation denoising facilitates the enhancement of a signal by removing noise while maintaining important features such as sharp signal transitions. Total variation denoising (on a one-dimensional signal) can be formulated as the following optimization problem,\n", "\n", "$$\n", "\\text{minimize}_{u} \\quad f(x, u; \\lambda) \\triangleq \\frac{1}{2} \\|u-x \\|_2^2 + \\lambda \\sum_{i=1}^{n-1}|u_{i} - u_{i+1}|\n", "$$\n", "\n", "Let's show a simple example of total variation denoising of a one-dimensional signal." ] }, { "cell_type": "code", "execution_count": 1, "id": "14c76f1d48c205c8", "metadata": { "ExecuteTime": { "end_time": "2023-12-01T02:12:43.549031Z", "start_time": "2023-12-01T02:12:41.722604Z" }, "executionInfo": { "elapsed": 4604, "status": "ok", "timestamp": 1700025038962, "user": { "displayName": "Yiran Mao", "userId": "13786949685567971366" }, "user_tz": -600 }, "id": "14c76f1d48c205c8" }, "outputs": [], "source": [ "%matplotlib inline\n", "\n", "import torch\n", "from torch import optim\n", "from torch.autograd import gradcheck\n", "\n", "import matplotlib.pyplot as plt\n", "import matplotlib.animation as animation" ] }, { "cell_type": "code", "execution_count": 2, "id": "788d42ccf471b1cf", "metadata": { "ExecuteTime": { "end_time": "2023-12-01T02:12:43.579982Z", "start_time": "2023-12-01T02:12:43.558014Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1.13.0\n", "cpu will be used.\n" ] } ], "source": [ "cpu_device = torch.device(\"cpu\")\n", "global_device = cpu_device\n", "\n", "if torch.backends.mps.is_available():\n", " gpu_device = torch.device(\"mps\")\n", " print(gpu_device, \"detected.\")\n", " global_device = gpu_device\n", "elif torch.cuda.is_available():\n", " gpu_device = torch.device(\"cuda:0\")\n", " print(gpu_device, \"detected.\")\n", " global_device = gpu_device\n", "\n", "print(torch.__version__)\n", "print(global_device, \"will be used.\")" ] }, { "cell_type": "markdown", "id": "2b57b73e", "metadata": {}, "source": [ "## Solving the total variation denoising problem\n", "\n", "While there are many methods that can be used to solve the total variation denoising optimization problem, we choose an iterative method based on [iteratively reweighted least squares](https://dsp.stackexchange.com/questions/76446/solve-efficiently-the-1d-total-variation-regularized-least-squares-problem-deno). The method computes iterates,\n", "\n", "$$\n", "u^{(t+1)} = \\left(I + \\lambda D^T \\Lambda_t^{-1} D\\right)^{-1} x\n", "$$\n", "\n", "or\n", "\n", "$$\n", "u^{(t+1)} = \\left(I - D^T \\left(\\frac{1}{\\lambda} \\Lambda_t + D D^T \\right)^{-1} D\\right) x\n", "$$\n", "\n", "where the latter is from the [Woodbury matrix identity](https://en.wikipedia.org/wiki/Woodbury_matrix_identity). Here $D$ is the discrete difference operator, i.e., $Du = \\textbf{vec}(u_i - u_{i+1})$, and $\\Lambda_t = \\textbf{diag}(|D u^{(t)}|)$.\n", "\n", "It is instructive to point out that $DD^T$ is an $(n-1)$-by-$(n-1)$ tridiagonal matrix with two along the diagonal and negative one above and below the diagonal. Importantly, this means that we can use a [tridiagonal solver](https://en.wikipedia.org/wiki/Tridiagonal_matrix_algorithm) for $\\left(\\frac{1}{\\lambda} \\Lambda_t + D D^T \\right)^{-1}$. However, there does not appear to be such a solver in PyTorch so we opt here to use Cholesky factorization." ] }, { "cell_type": "code", "execution_count": 3, "id": "bbb1218d8201b062", "metadata": { "ExecuteTime": { "end_time": "2023-12-01T02:12:45.420708Z", "start_time": "2023-12-01T02:12:43.581947Z" }, "colab": { "base_uri": "https://localhost:8080/", "height": 557 }, "executionInfo": { "elapsed": 4211, "status": "ok", "timestamp": 1700025046431, "user": { "displayName": "Yiran Mao", "userId": "13786949685567971366" }, "user_tz": -600 }, "id": "bbb1218d8201b062", "outputId": "b5478e3f-7558-4680-9e0b-3ddf01577ada" }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def tvsolver(x, lmd, maxiters=100):\n", " \"\"\"\n", " Pytorch solver for the 1D total variation denoising problem. Operates on a batch of inputs\n", " x of size (b, n) all with same lambda.\n", " \"\"\"\n", "\n", " # initialize u to x\n", " b, n = x.shape\n", " u = x.clone()\n", " \n", " # iterate\n", " Dx = (x[:, :-1] - x[:, 1:]).view(b, n - 1, 1)\n", " ones = torch.ones((b, n - 2), dtype=x.dtype, device=x.device)\n", " for _ in range(maxiters):\n", " L = torch.abs(u[:, :-1] - u[:, 1:]) / lmd\n", " H = torch.diag_embed(L + 2.0) - torch.diag_embed(ones, offset=1) - torch.diag_embed(ones, offset=-1)\n", " w = torch.cholesky_solve(Dx, torch.linalg.cholesky(H)).view(b, n - 1)\n", " \n", " u = x.clone()\n", " u[:, 1:] += w\n", " u[:, :-1] -= w\n", " \n", " return u\n", "\n", "\n", "# generate signal\n", "torch.manual_seed(0)\n", "n = 200\n", "x = torch.floor(torch.linspace(-5, 5, n)) + 0.5 * torch.randn(n, dtype=torch.double)\n", "\n", "# find denoised signal\n", "u_1 = tvsolver(x.view(1, n), 1.0, 1000)\n", "u_10 = tvsolver(x.view(1, n), 10.0, 1000)\n", "u_100 = tvsolver(x.view(1, n), 100.0, 1000)\n", "\n", "# plot results\n", "plt.figure(figsize=(6, 4), dpi=150)\n", "plt.plot(x.detach().flatten(), label=\"original signal\")\n", "plt.plot(u_1.detach().flatten(), label=\"denoised signal ($\\lambda = 1$)\")\n", "plt.plot(u_10.detach().flatten(), label=\"denoised signal ($\\lambda = 10$)\")\n", "plt.plot(u_100.detach().flatten(), label=\"denoised signal ($\\lambda = 100$)\")\n", "plt.legend()\n", "plt.title(\"Total Variation Denoising\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "069472d1", "metadata": { "id": "069472d1" }, "source": [ "## Automatic Differentiation in Declarative Node\n", "\n", "We can define a `TotalVariationFcn` class for differente the solution to the total variation optimization problem as a declarative node. A somewhat surprising result, albeit obvious in hindsight, is that for total variation the derivative of the denoised signal with respect to the input signal is the identity matrix. This is because the total variation objective is comprised of a quadratic term between $x$ and $u$ and linear terms in $u$. Mathematically,\n", "$$\n", "\\frac{\\mathrm{d}y}{\\mathrm{d}x} = I.\n", "$$\n", "\n", "As such the backward pass can be implemented as a *pass through* operation.\n" ] }, { "cell_type": "code", "execution_count": 4, "id": "4c3e8b92fa6dae82", "metadata": { "ExecuteTime": { "end_time": "2023-12-01T02:12:45.436055Z", "start_time": "2023-12-01T02:12:45.422683Z" }, "executionInfo": { "elapsed": 313, "status": "ok", "timestamp": 1700026707454, "user": { "displayName": "Yiran Mao", "userId": "13786949685567971366" }, "user_tz": -600 }, "id": "4c3e8b92fa6dae82" }, "outputs": [], "source": [ "class TotalVariationFcn(torch.autograd.Function):\n", " \"\"\"PyTorch autograd function for total variation denoising.\"\"\"\n", "\n", " @staticmethod\n", " def forward(ctx, x, lmd):\n", " with torch.no_grad():\n", " u = tvsolver(x.detach().clone(), lmd)\n", " return u\n", "\n", " @staticmethod\n", " def backward(ctx, dLdY):\n", " return dLdY, None" ] }, { "cell_type": "markdown", "id": "aa4f834a005a5f07", "metadata": { "id": "aa4f834a005a5f07" }, "source": [ "Check the gradient of the `TotalVariationFcn` class by using `gradcheck` function in PyTorch:" ] }, { "cell_type": "code", "execution_count": 5, "id": "6ba397a1b251c375", "metadata": { "ExecuteTime": { "end_time": "2023-12-01T02:12:45.703928Z", "start_time": "2023-12-01T02:12:45.444678Z" }, "colab": { "base_uri": "https://localhost:8080/" }, "executionInfo": { "elapsed": 4610, "status": "ok", "timestamp": 1700026718709, "user": { "displayName": "Yiran Mao", "userId": "13786949685567971366" }, "user_tz": -600 }, "id": "6ba397a1b251c375", "outputId": "4dedc0a6-4098-470c-9dd7-282df5cc67d6" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Backward test of TotalVariationFcn: True\n" ] } ], "source": [ "n = 5\n", "fcn = TotalVariationFcn.apply\n", "\n", "torch.manual_seed(4399)\n", "X = torch.randn((1, n), dtype=torch.double, device=cpu_device, requires_grad=True)\n", "\n", "test = gradcheck(fcn, (X, 0.2), eps=1e-6, atol=1e-3, rtol=1e-6)\n", "print(\"Backward test of TotalVariationFcn: {}\".format(test))" ] }, { "cell_type": "markdown", "id": "ec7b069840ba40ec", "metadata": { "id": "ec7b069840ba40ec" }, "source": [ "## Bi-Level Optimization Example\n", "\n", "To test the code, we set up the following bi-level optimisation problem where the lower level problem is the total variation denoising problem and the upper level problem aims to match the denoised signal with some target.\n", "\n", "$$\n", "\\begin{array}{ll}\n", " \\text{minimize (over $x$)} & \\frac{1}{2} \\|y(x) - y^{\\text{target}}\\|_2^2 \\\\\n", " \\text{subject to} & y(x) = \\text{argmin}_u \\frac{1}{2} \\|u-x \\|_2^2 + \\lambda \\sum_{i=1}^{n-1}|u_{i+1} - u_i|\n", "\\end{array}\n", "$$\n", "\n", "In words, find the input signal $x$ such that after denoising, the denoised signal $y$ is close to a given target $y^\\text{target}$." ] }, { "cell_type": "code", "execution_count": 6, "id": "6ae3aef1", "metadata": { "ExecuteTime": { "end_time": "2023-12-01T02:12:48.609476Z", "start_time": "2023-12-01T02:12:45.704926Z" } }, "outputs": [], "source": [ "torch.manual_seed(22)\n", "\n", "n = 100\n", "y_target = torch.remainder(torch.floor(torch.linspace(0, 10, n, device=global_device, dtype=torch.float)), 3.0).view(1, -1)\n", "y_target.requires_grad = False\n", "\n", "x_init = torch.randn((1, n), dtype=torch.float, device=global_device, requires_grad=False)\n", "y_init = TotalVariationFcn.apply(x_init, 1.0)\n", "\n", "x = torch.nn.Parameter(x_init.clone(), requires_grad=True)\n", "opt = torch.optim.AdamW([x], lr=1.0e-1)\n", "\n", "# do optimisation\n", "x_history = []\n", "y_history = []\n", "loss_fcn = torch.nn.MSELoss()\n", "for _ in range(100):\n", " opt.zero_grad(set_to_none=True)\n", " y = TotalVariationFcn.apply(x, 1.0)\n", " loss = loss_fcn(y, y_target)\n", " loss.backward()\n", " opt.step()\n", " x_history.append(x.detach().clone())\n", " y_history.append(y.detach().clone())" ] }, { "cell_type": "code", "execution_count": 7, "id": "56c1fa8a", "metadata": { "ExecuteTime": { "end_time": "2023-12-01T02:12:48.671969Z", "start_time": "2023-12-01T02:12:48.610734Z" } }, "outputs": [], "source": [ "%%capture\n", "\n", "def init():\n", " ax.plot(x_init.flatten(), label=\"initial x\")\n", " ax.plot(y_init.flatten(), label=\"initial y\")\n", " ax.plot(y_target.flatten(), '--', label=\"target y\")\n", " ax.set_ylim(-2.0, 3.0)\n", " ax.legend(loc='lower right')\n", " return [ax]\n", "\n", "def animate(fnum, x, y):\n", " ax.clear()\n", " ax.plot(x[fnum].flatten(), label=\"x at {}\".format(fnum + 1))\n", " ax.plot(y[fnum].flatten(), label=\"y at {}\".format(fnum + 1))\n", " ax.plot(y_target.flatten(), '--', label=\"target y\")\n", " ax.set_ylim(-2.0, 3.0)\n", " ax.legend(loc='lower right')\n", " return [ax]\n", "\n", "# create animation\n", "fig = plt.figure(figsize=(6, 4), dpi=150)\n", "ax = plt.subplot(1, 1, 1)\n", "plt.tight_layout()\n", "ani = animation.FuncAnimation(fig, animate, init_func=init, fargs=(x_history, y_history),\n", " interval=100, frames=len(x_history), repeat=False)\n", "plt.close(fig)" ] }, { "cell_type": "code", "execution_count": 8, "id": "61e90849", "metadata": { "ExecuteTime": { "end_time": "2023-12-01T02:12:55.524626Z", "start_time": "2023-12-01T02:12:48.673988Z" } }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from IPython.display import HTML\n", "\n", "# display using video or javascript\n", "HTML(ani.to_html5_video())\n", "#HTML(ani.to_jshtml())" ] }, { "cell_type": "code", "execution_count": 9, "id": "f95a0396", "metadata": { "ExecuteTime": { "end_time": "2023-12-01T02:12:55.921676Z", "start_time": "2023-12-01T02:12:55.526620Z" } }, "outputs": [ { "data": { "image/png": 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C448/HnS/pKQkXHrppfjkk09QXFyMuro6VFdXo7S0FE8//TTS09OxePFiPPfcc40e2wknnADAO0OHiIiozYh15Z2IiKi1iJ2tYhddXl6e0lmWnp4uX3bZZSE7m2W5ZTu+n3vuOaUjLFR3qyzL8tq1a2VJkmSTySQfPHhQuXzfvn1KV9kXX3wR8r6jR4+WAciTJ09WXb5x40ZZkiQ5OTlZ/vXXX0Pet6qqSu7YsaMMQH7//fdV1zW243vOnDnKv8X3338f9f0WLFig3O/rr79WXee73GQyyb///nvQfQ8ePChnZ2fLAOQbb7xRdV20XXPRdP0BkK+++uqg610ul9y1a1flNjNnzgy6TWVlpdIVuWDBgqDrw3V8h7N37165ffv2MgD5jDPOkJ1OZ1T387nppptkAPJVV10VdF20r324ju/a2lrl9Zg0aVLI+/o6dAHIa9asCfn8iNChesEFFyh/e0OJr2fgLIDA/8RZAaJPP/1U6bb1dbk++uijSqd84N8UDZfLJfft2zfsNiJ2i4fqCl+6dKlyfVJSkvznn38G3WbevHnK9Q6HI+y/y/Dhw0N2oc6dO1e5zerVq0PeP9Tn6F133aV0+YfbVpcsWaK8Jg3dnjt16iQDkGfNmhXxdpG2K/Hf95tvvgm63mazKe+5UO/xSF3V0b6/fc8fquM7kurqarmgoCDsttHYju+mfAcdffTRMgB54cKFDXrOpvL9raFmrPj+69Wrl3L7aD/7w81sueOOO2QAco8ePRo81sWLF8sA5O7duwddF+131xNPPCEDkDt37tzg5yciIkpU7PgmIqI26eDBg8p/hw8fVjKEa2trUVlZiYMHD7b6mObOnQsAuPHGG5GWlhbyNgMHDkSfPn3gcDjw7bffKpe3b98eI0eOBODNyg504MABJSPV15nnM2/ePMiyjLPPPhvHHXdcyOdNS0tTOq2/+OKLhv1hYZSWlio/+3LVo5GbmxvyMUQXXXQRjj766KDL8/Pzlc7bSDnazeHuu+8Oukyv1+P0008HAFgsFtx2221Bt0lPT8fQoUMBoN683PrU1NTgnHPOwf79+3H00Udj8eLFSud3tHwd4t9//32TxhLKV199hbKyMgBQ5R2LbrzxRhQWFgIAFi1aFPI2ZrNZ6T4PdP755wNo+r9lSUmJ6nMj8D/f3xHozDPPxO233w4AuPnmm/HGG28onej/+te/MGjQoAaPRa/XKzMDIr0up5xyCk455ZSgy4cPHw6z2QwAmDBhQshs/TFjxgAA6urqInYt33fffdDpgg8ppk2bho4dOwIA3nrrrQh/jZ8sy3jllVcAAHfeeWfYbXXcuHFIT09HSUkJ1q1bF9Vj+x7/wIEDAIC8vLyo7xfOySefjNNOOy3ocrPZrPz7NXW7a26pqakYPnw4gOZ9TzflOygzM1O5TSw4nc6I7+2Guu+++0Je7vss2rZtG2praxv0mL7P4e3btzf638n33Rmrf2ciIqJYYOGbiIjaJFmWVf/V1dXhl19+wZQpU/Dxxx/j1FNPxQcffNBq46murlYKJPfffz/atWsX9r8tW7YAgLIImo8vmsU3nVy0cOFCuN1utG/fPmhRMV/x47PPPov4vK+++mrI520OoRYLC0eOYoEvXwEm0nWlpaX466+/on7ehsjOzkb37t1DXldQUAAAOOaYY5CSkhLxNuEWQouG2+3GpEmTsH79euTm5uLjjz9WCkyBduzYgbvuugsDBw5EZmYm9Hq9sojbWWedBQCqaJjmsnbtWgDe6JRevXqFvI1er1deM9/tA/Xp0wepqakhr2vfvj0AhC1MR+uvv/4K+twQ/wu1yKDPo48+ioEDB6KmpgaXX345nE4nRo8ejTvvvDPic65YsQJTp07FUUcdhdTUVNVCh764hEivS7g4D71erxTBBg8eHPI2vm0QCL8dGgwGDBs2LOR1Op1OWXQ03OsW6Pfff1dep6lTp4b9LCosLFQWH27I51FFRQVcLhcA73u0qXzREaE013bXWB9//DEmTpyIbt26ISUlRbXtvPPOOwCa/z3d2O+gc845B4D3ZOG1116Lzz//XInBag3Dhw8P+76uqKho0GNlZ2eHXaTZt00Aod9T1dXVeOKJJzB8+HDk5+fDZDIpr1lycrJyu3379jVoTOLYAG+hv6F/FxERUaJqWMsPERGRRlksFvTv3x9z585FWVkZ3n//fUydOhW7d+9Genp6vfefNWsWZs2aFfK6NWvWKLmt4RQXFyu5qNEWSgI7xi644ALceOONqKmpwZIlS1Rddb4OvMsuuyyoO3P//v0AvN3BvmJSQ563scQu75KSEvTu3Tuq+0XTKd6hQ4ew9xevO3ToELp27RrV8zZEuI59AEoXazS3cTqdjR7D7bffjo8//hhmsxnvv/8+unXrFvJ277//PiZNmgS73a5clp6eDovFAkmS4HA4UF5eHlTIag6HDh0CEPn1AqB0DvtuHyiaf0tfwTMWTCYT5s+fr8yoyMjIwGuvvRbxhM8//vEPVRawXq9HVlYWTCYTAO/71Wq1RnxdmrIdit3W4bbD3NxcpXM8FN/rGu51C+T7LAK8WcnRaMjnkc1mU36ONO5otfR7uDE8Hg8mT56smh1hMBhU205lZSVsNluzv6cb+x30t7/9DRs2bMA777yDOXPmYM6cOZAkCX369MHYsWNxzTXXhD0xFm+i2SaA4O1i69atOP3001UnI5KTk5GZman8e/m6zxv7uiUlJSk/i+8FIiIiLWPHNxERUQDfInqVlZX49NNPo7pPTU1N2GnSvhiVSMTbrFy5MmJnqe+/wGiIlJQUZXHO119/Xbl848aN2LBhAwCEXLDT99yPPfZYVM8bqbO1IY455hjl559//jnq+4mLLPbp0yfkbRrSQa5Fzz33HJ599lkA3gidUHEXgPckwtSpU2G32zFy5EgsW7ZMFfdTXFyMxYsXt/h4o329Evl1ffnll5Wfq6qqsH79+rC3/eqrr5Si94033oiNGzfCbrejrKxMWejQF58SzQyIltLcr4f4OVhcXBzV59HUqVOjfnzxRFlTZlPEs3nz5mHRokXQ6/WYPn06/vzzz6BtZ8KECQCaf9tp7HeQ0WjE22+/jfXr12P69OkYOXIkkpOT8dtvv2HWrFk45phj8J///KdZxxpvpk2bhr1796KoqAiLFy9GaWkprFYrDh06hOLiYlWXd2NfN/GkekPixYiIiBIZC99EREQBunTpovwcbRTGjBkzwhZmioqK6r2/GCuwcePGBo/Zx1dU+Oabb5QDZV+nXf/+/XHssccG3addu3ZNft7GGDx4sNId995770V1H1mWlQiao48+Whl7oEhT+MUCQn5+fpSjTRyffvqpkh1+3333YfLkyRFvW1VVhaysLHz00UcYPny4qisQ8BYgW4rv33/Pnj0Rb+d7PZsjlzkWPv74Y+VERN++fSHLMqZMmRI2P9iXiT1mzBg8//zzOPbYY6HX61W3acnXJVqHDx9WzRQI5HuvRfs+E9/PLfF5ZDKZlBk8sYogaWm+befqq6/Ggw8+iB49egR1WLfkttOY7yCffv364cEHH8TSpUtRUVGBr7/+GqeeeircbrfSFa5Fe/bswY8//gjAu47BhAkTgqJ4muM1823zGRkZMBqNTX48IiKiRMDCNxERUQCxaBoug7m5ZWVlKR3Q0S4EF8rIkSPRsWNHeDweLFy4UPk/ELrTDvAu0AYAn3zySVRRJ83FaDTi6quvBgAsX748qk7yN954Azt27ADg7YQNR1z4M9x12dnZqpgTsTgUyy7aptiwYQMmTpwIt9uNiy++GA899FDE2/sKzr1791ZlyIq+/vrrsPf3/Zs19t/Lt7Dj3r17sXXr1pC3cbvdymsWLo86nh04cADTpk0D4O3q/O6771BUVIRDhw5hypQpIf/tfK/LgAEDQj6mLMv45ptvWm7QUXK5XGEXSJRlGd999x0ARL2A57HHHqsUppvyORiJ73PW9zkSb5r6nqpv26mpqcGqVasaN7goNOY7KBSDwYDTTz8dn3zyCcxmM2RZjvhZlMjEE3/hXrfm+Nt9J/JDLfxMRESkVSx8ExERBfAdpAPRF2yaw7XXXgsAWLp0ab1Fn3DdijqdDpdddhkAb5edr+tOr9fj0ksvDXmfa665BpIkoaKiAn/7298iPq/T6WzW4vg//vEPpRv08ssvx/bt28Pedt26dbjlllsAeA/cr7rqqrC3Xbx4sbIIqKikpAQvvfQSAGDixImq68Qs90Rc+OvAgQM455xzUFNTgxNOOKHeDGnA2/kHePNlQ2W+rl+/XvV+COT7N2vsv9eoUaOUKfeB0T0+L730kpL9PGnSpEY9T6x4PB5cfvnlKCkpQc+ePfHss88iIyMDCxcuhMFgwBdffIHZs2cH3c/3uoTrcH3xxRfjpnD7yCOPKOsTiF577TXs3r0bQPB7LRyDwYArr7xSuX+4orpPY7q2Tz31VADA6tWrG3zf1tDU91R9287DDz+M6urqRj12NBrzHRRp1oDZbFZmOwTOetAK32sGhH7dqqurMXPmzCY/j++Ex/Dhw5v8WERERImChW8iIqIjiouLcd999+G1114DAJx44okYOnRoqz3/9ddfjxNOOAGAtwh83333qTrBamtrsWzZMtx8883o3r172MfxddVt3LgR99xzDwBg9OjRqjgVUf/+/ZVojBdffBEXXXQR1q9fr3Qcut1ubNiwAQ8//DC6d+8eMZu4oQoKCvD2228jOTkZe/fuxeDBg/Hkk0+qIiD27NmDhx9+GKeeeioqKiqQm5uLd999NyiSQ2SxWDB27Fh8/fXXyt+xZs0anHHGGSgpKUFaWhruvvtu1X0yMzOVxfheffXVmC6G2FB2ux3nnHMO9u7di86dO+PDDz+ExWKp936jR4+GTqdDWVkZLrvsMiWawOFw4J133sHo0aMjLtbmiy3YtGmTMlW/IZKSkpSC96JFi3D99dcrr31tbS2effZZZducOHEiBg4c2ODniKXHH38cS5cuhdFoxKJFi5QZJEOHDsUDDzwAALj33nuDMu7Hjh0LAPjss8/w8MMPK4vZVVRU4F//+hf+7//+Ly4yepOTk/H999/j0ksvVWbK2Gw2zJkzBzfccAMA4Pzzz8eQIUOifsz7778f3bt3h8vlwtixYzF79mzVQpeVlZX4/PPPMWXKFAwbNqzBYx4xYgQAYO3atVGtv9DafO+pd999t1E55L5tZ86cOXj55ZfhcDgAQMmFf/zxx1t822nod1CXLl1wzz33YOXKlaoi+LZt23DZZZehtrYWOp0OY8aMUd1v6tSpkCQpobP/Ae8shM6dOwMArrzySqxbt0657qeffsKIESOanEnvdruVx2Xhm4iI2hIWvomIqE1q166d6r/MzEwUFhbikUceAQAcd9xxeO+991r1gNpsNuPjjz/GyJEj4XK58Mgjj6Bz587IyMhAVlYWUlNTcdppp+H555+P2HV9zDHH4PjjjwfgLe4A9U8xf+KJJ5QC47vvvosBAwYgOTkZubm5sFgs6N+/P6ZPn449e/Y0+7/JiBEjsHz5cvTq1Qvl5eW444470K5dO6SnpyM1NRWdO3fG9OnTUVtbi0GDBmHlypWqhTFDmT17Nmw2G0aNGoXU1FSkpaVhyJAh2LBhA8xmMxYtWqQUGkTXX389AODZZ59VnruoqAiXXHJJs/7Nze3AgQNK8bS0tBT9+vUL2sZ9/4lxIT179lS6/JcsWYKOHTsiMzMTqampmDhxIlJTU/HMM8+Efd4RI0agd+/ecLvdOPnkk5GdnY2ioiIUFRXh3XffjWrsN998s7JQ40svvYTCwkJkZ2cjIyMDt9xyC5xOJ0477TTMmTOnsf88zWLw4MFh/019/7399tvK7VevXo3p06cDAP71r38FFe3vvfdejBgxAg6HA5MmTVKK24D3/eor6k6fPh1paWnIzs5GTk4O/vnPf2Ls2LFKYTmW8vLy8OSTT+Kdd95Bp06dkJ2djfT0dFx77bWw2Wzo168f5s2b16DHzM7OxldffYV+/frBarXizjvvRH5+PrKyspCRkYHMzEyceeaZeP3115WibkOcfvrpyMvLg9VqjYu4mEDXXnstJEnCjz/+iLy8PLRv3155T0XjzjvvxFFHHQWXy4XrrrsOSUlJyMrKQvv27fHUU0/huuuuwznnnNOif0NDv4MOHjyIxx57DEOHDkVycjKys7ORlJSEnj17YvHixZAkCf/5z380G9EhSRKef/55GAwGbNq0CYMGDUJKSgpSUlJw0kknYfPmzarPlsZYunQprFYr8vPzcfrppzfTyImIiOIfC99ERNQmHTx4UPVfbW0t2rVrhzFjxmDOnDlYu3Yt2rdv3+rjys3Nxddff40PP/wQEyZMQKdOnWC321FXV4cOHTrgzDPPxHPPPYedO3dGfByxyJCeno7zzz8/4u31ej2efPJJ/Pzzz7j22mvRu3dv6PV6VFZWIisrCyeffDJmzJiB9evXK5ngzWnQoEHYtGkTXn/9dVxwwQXo0qWL0nHdrVs3XHrppViyZAlWr14dsdvdp1u3bvjll19w0003IS8vDw6HA/n5+Zg0aRJ++eUXnH322SHvd++99+Lpp5/GoEGDYDQasXfvXuzatSsuFhKMltVqDdq+xf/E7lkAeOyxx/D6669jyJAhSEpKgtPpRI8ePXDvvffil19+ifg+MBgMWLp0Ka6++moUFRXBarVi165d2LVrV4MicWbPno1vvvkGF154IQoKClBTU4O0tDScdtppeOWVV/DVV19F7DxvDSUlJRH/XQ8ePIi6ujoA3miCSZMmwel0YtSoUbjzzjuDHk+n02HBggXIzs7G1q1bcfPNNyvXGY1GfPnll3jggQfQq1cvGI1GyLKMIUOG4IUXXsD//ve/uIl9uOmmm/DFF19g7Nix0Ol00Ol0OOqoo/DQQw/hp59+alR3cdeuXbF27Vq8/vrrOOecc1BYWAir1QqHw4GuXbti/PjxeOWVV/DTTz81+LFNJpOSuf7mm282+P4t7dRTT8Unn3yCM844AxkZGTh48KDynopGZmYmfvzxR9x2220oKiqCXq+HwWDAiBEjsGjRIrz44ost/Bd4NeQ76Msvv8Q999yDYcOGoVOnTsr7qEePHpg2bRrWrFmjnJjVqnPOOQffffcdzj77bGRmZsLlciE3NxfTpk3Dzz//3ORitW9bnzZtGkwmU3MMmYiIKCFIcqKu3kREREQUwNeN/u233yqRBkTUvObPn49p06ahS5cu9Z6Ei0c7duxAr169kJycjAMHDrTaIsZEsWC1WlFYWIja2lps3boV3bp1i/WQiIiIWg07vomIiIiIqM3o1q0brrrqKlRXV+P555+P9XCIWtRzzz2H6upqXH311Sx6ExFRm8PCNxERERERtSkPPfQQUlNTMWvWLFW+OpGW1NTUYNasWUhNTcWDDz4Y6+EQERG1OkOsB0BERERERNSaCgoKsGDBAqxfvx47d+5Enz59Yj0koma3c+dO3HTTTRgwYAAKCgpiPRwiIqJWx8I3ERERERG1OePGjcO4ceNiPQyiFnPsscfi2GOPjfUwiIiIYoaLWxIRERERERERERGRpjDjm4iIiIiIiIiIiIg0hYVvIiIiIiIiIiIiItIUFr6JiIiIiIiIiIiISFNY+CYiIiIiIiIiIiIiTWHhm4iIiIiIiIiIiIg0hYVvIiIiIiIiIiIiItIUFr6JiIiIiIiIiIiISFNY+CYiIiIiIiIiIiIiTWHhm4iIiIiIiIiIiIg0hYVvIiIiIiIiIiIiItIUFr6JiIiIiIiIiIiISFNY+CYiIiIiIiIiIiIiTWHhm4iIiIiIiIiIiIg0hYVvIiIiIiIiIiIiItIUFr6JiIiIiIiIiIiISFNY+CYiIiIiIiIiIiIiTWHhm4iIiIiIiIiIiIg0hYVvIiIiIiIiIiIiItIUFr6JiIiIiIiIiIiISFNY+CYiIiIiIiIiIiIiTWHhm4iIiIiIiIiIiIg0hYVvIiIiIiIiIiIiItIUFr6JiIiIiIiIiIiISFNY+CYiIiIiIiIiIiIiTWHhm4iIiIiIiIiIiIg0hYVvIiIiIiIiIiIiItIUFr6JiIiIiIiIiIiISFNY+CYiIiIiIiIiIiIiTWHhm4iIiIiIiIiIiIg0hYVvIiIiIiIiIiIiItKUuCp8z549GxdccAF69uyJjIwMmM1mdOnSBVOmTMGmTZtiPTwiIiIiIiIiIiIiSgCSLMtyrAfhk5ubC6vVir59+6JDhw4AgE2bNmHr1q0wmUz44IMPcOaZZ8Z4lEREREREREREREQUz+Kq8P3DDz9g4MCBsFgsqstfeOEF3HjjjWjfvj12794NvV4foxESERERERERERERUbyLq8J3JD179sS2bduwadMmHHPMMY16jHbt2sFqtaJz587NPDoiIiIiiqXdu3cjJSUFxcXFsR4KtTLu4xMRERFpU1P38eMq4zsSX5e3yWRq9GNYrVY4nc7mGhIRERERxQmn0wmr1RrrYVAMcB+fiIiISJuauo9vaMaxtJjXX38dW7ZsQa9evdCtW7dGP46vC4QLZRIRERFpS58+fWI9BIoR7uMTERERaVNT9/HjsvD9xBNPYNOmTbBarfjjjz+wadMmtG/fHgsXLoROV3+Terh/lO3bt6N79+7NPVwiIiIiIiIiIiIiiiNxWfj+4osvsHTpUuX3Tp06YcGCBRg4cGAMR0VEREREREREREREiSAuC99ff/01AKCiogIbN27EQw89hBEjRmDmzJn45z//We/9w01z5BRYIiIiIiIiIiIiIu2L68UtMzMzMWzYMHz66acYOHAg7r//fqxZsybWwyIiIiIiIiIiIiKiOBbXhW8fo9GIiRMnQpZlfPTRR7EeDhERERERERERERHFsYQofANAbm4uAODw4cMxHgkRERERERERERERxbOEKXwvX74cANC9e/cYj4SIiIiIiIiIiIiI4lncLG65YsUK7N+/HxdeeCEMBv+wnE4nXnzxRSxYsABJSUmYOHFiDEdJRERERERaIcsyZFmO9TBIYyRJgiRJsR4GERFRmxc3he/t27dj2rRpyM3NxcCBA5GTk4OSkhJs3LgRBw4cgMViwfz589GpU6dYD5WIiIiIiBKU2+1GaWkpqqur4XA4Yj0c0iiTyYS0tDTk5ORAr9fHejhERERtUtwUvocPH457770Xy5cvx6+//oqSkhKYTCYUFRVhwoQJuOWWW9CjR49YD5OIiIiIiBKU2+3G7t27YbPZYj0U0jiHw4HS0lJYrVZ07tyZxW8iIqIYiJvCd9euXfHII4/EehhERERERKRRpaWlsNls0Ov1KCgoQEpKCnS6hFn2iBKEx+OB1WrFwYMHYbPZUFpaivz8/FgPi4iIqM2Jm8I3ERERERFRS6qurgYAFBQUICMjI8ajIa3S6XTK9rV//35UV1ez8E1ERBQDbG8gIiIiIiLNk2VZyfROSUmJ8WioLfBtZw6Hg4uoEhERxQAL30REREREpHli4ZHxJtQaxO2MhW8iIqLWxz0+IiIiIiIiIiIiItIUFr6JiIiIiIiIiIiISFNY+CYiIiIiIiIiIiIiTWHhm4iIKA443R7UOdyxHgYRERERJQiPR4bV7or1MIiI4hYL30RERDFWXGnDsH9/i8GPfI2ftpfGejhERNTGPPPMM+jTpw/MZjMkScKIESMAAFOnToUkSVi2bFlMxlVUVARJkmLy3ETxrsbuwhmzl+P4h7/CJ78eiPVwiIjikiHWAyAiImrrPtl4AMVVNgDAW2t2Y2j3nBiPiIiI2oolS5bg1ltvRVZWFs477zykpKTgqKOOivWwiKge324+hB0lVgDAaz/txNl9C2M8IiKi+MPCNxERUYyJU1Qrap0xHAkREbU1H3zwAQDg3XffxciRI1XXPfroo7j77rvRuXPnGIyMiCIR9x9LauwxHAkRUfxi4ZuIiCjGXG6P8jNzGomIqDXt3bsXANCtW7eg6woLC1FYyC5Sonjk9MjKz2ycICIKjRnfREREMeYSDlysXOCSiIhawYwZMyBJEr799lsAQNeuXSFJkirTO1zGt5i9PXfuXPTt2xdJSUlo164drrvuOlRUVAQ937Zt2zBjxgwMHToU7dq1g8lkQseOHXHFFVdg69atTf579u7di5ycHJjNZqxfvz7o+gcffBCSJOGcc85p8nMRxQOxcaKi1gGPsD9JREReLHwTERHFmKrwzY5vIiJqBf3798eUKVNQUFAAALjwwgsxZcoUTJkyBe3atYvqMf7+97/jpptuQnp6OsaOHQtZlvHyyy/jvPPOgyyri3Bz587Fgw8+iKqqKgwaNAjnnXce0tPTsWDBAgwePBi//vprk/6ejh074qWXXoLD4cBll10Gm82mXLdy5UrMnDkT+fn5mDdvXpOehyheuNz+95hHBqq5D0lEFIRRJ0RERDHmFDp2ah08aCEiigVZllFlS7zP4HSLQem+bohx48Zh3LhxGDFiBA4ePIhZs2ahqKioQY/xxhtvYNWqVejfvz8AoKSkBEOHDsWKFSvw7bffqjLDx40bh2uuuQbdu3dXPcarr76KK6+8Erfddhu++eabBv8dogkTJmDq1KmYP38+/v73v+OZZ55BTU0NJk+eDJfLhXnz5imFfqJE5/R4VL9X1DqQkWSM0WiIiOITC99EREQx5hY6vmvYrUNEFBNVNhf6PfhlrIfRYBseGB2zYtfDDz+sFL0BIDc3FzfccAPuvPNOfPfdd6rC94knnhjyMaZNm4Z58+Zh2bJlqKysREZGRpPG9Mwzz+C7777Dc889h7PPPhtvvfUWtm/fjuuvv54xJ6QpTpd6VkVFrRNdcmI0GCKiOMXCNxERUYw5hamqNqcHbo8Mva7h3XtEREStafTo0UGX9erVCwBw4MCBoOtqamrw0UcfYf369SgrK4PT6VRuK8sytm/fjuOPP75JY0pLS8Mbb7yBYcOG4eKLL0ZVVRV69+6N//znP016XKJ44wro+C6vdcRoJERE8YuFbyIiohgTFycCAKvDhXQLp6oSEVF869ixY9BlqampAAC73a66/JtvvsEll1yCw4cPh3286urqZhnX0KFDccstt+DJJ5+EJEl48803kZyc3CyPTRQvxMYJwNvxTUREaix8ExERxZgYdQIAtXY3C99ERK0s3WLAhgeCO5jjXboldod00WaL19TU4OKLL0ZpaSnuv/9+TJo0CV26dEFSUhIkScKll16KRYsWBS2I2VhWqxUff/wxAG92+7p16zBw4MBmeWyieBHYOFHBjm8ioiAsfBMREcWYM6DwzZxvIqLWJ0kSF4ZrIStWrEBpaSkuvPBCPPTQQ0HX79ixo1mf7/bbb8eff/6J8ePH48svv8Qdd9yB0047DT179mzW5yGKJVfA/mM5O76JiILoYj0AIiKits4dkNFY62Dhm4iItKO8vBwA0KlTp6Drtm3bhp9//rnZnuvDDz/EnDlz0LNnT7zxxht48sknYbVacdlll8Hl4vcraYeTHd9ERPVi4ZuIiCjGAjMa2fFNRERa4lvwcsmSJaqM74qKClx11VXKIpdNVVxcjKuvvhoGgwFvvPEGkpOTcc011+C8887DmjVrMGPGjGZ5HqJ4EFT4rmPHNxFRIBa+iYiIYixocUu7O0YjISIian6DBg3CqFGjsHv3bvTq1Qvjx4/H+PHj0bVrV+zfvx/nn39+k59DlmVMmzYNJSUlmD59OoYMGaJcN3fuXBQUFOCxxx7DDz/80OTnIooHLjejToiI6sPCNxERUYwFZjQy6oSIiLTmww8/xD//+U/k5eXhs88+w7p163DJJZdg5cqVyMzMbPLjP/vss/j8888xdOhQ3Hvvvarr8vLy8Morr8DtdmPy5Mmoqqpq8vMRxVrgGjGMOiEiCibJzbV0dgLo06cPAGDTpk0xHgkREZHfpJdX4qcdpcrvj4w/Fped0CWGIyJKPNzPa7uife09Hg+2bNkCAOjduzd0OvYAUcviNkct6YY31uGz34qV3ztnJ+O7v58WwxERETW/pu7j85uXiIgoxlyBi1sy6oSIiIiIIghcI6acHd9EREFY+CYiIoqxwKgTLm5JRERERJEELm5ZbXMFrRtDRNTWsfBNREQUY4GLEzHjm4iIiIgiCZwxCACVdVzgkohIxMI3ERFRjAV27NQw6oSIiIiIIgiMOgGA8loWvomIRCx8ExERxZjbw45vIiIiIopeqFiTyjrmfBMRiVj4JiIiirHAjG8rM76JiIiIKILA/UcAKLey45uISMTCNxERUYwFRp1YGXVCRERERBGEjjphxzcRkYiFbyIiohgLjDqxMuqEiIiIiCIIbJwAuLglEVEgFr6JiIhiLLBjh1EnRERERBRJqIxvdnwTEamx8E1ERBRjLg+jToiIiIgoeqGjTtjxTUQkYuGbiIgoxtyBHd+MOiEiIiKiCAIbJwCgkoVvIiIVFr6JiIhizBnU8e2CLAd38RARERERAYCLi1sSEdWLhW8iIqIYCzxw8ciA3RXcxUNElIhmz56NCy64AD179kRGRgbMZjO6dOmCKVOmYNOmTbEeHhFRQgq1uCWjToiI1Fj4JiIiiiFZluHyBHfs1HCBSyLSiH/961/47LPPkJ2djdNPPx1nn302LBYLXn/9dRx//PH47LPPYj3ENu+ZZ55Bnz59YDabIUkSRowYAQCYOnUqJEnCsmXLYjKuoqIiSJIUk+cminehMr4r2fFNRKRiiPUAiIiI2jJ3iKI3ANTa3UBqKw+GiKgFfPjhhxg4cCAsFovq8hdeeAE33ngjrr76auzevRt6vT5GI2zblixZgltvvRVZWVk477zzkJKSgqOOOirWwyKieoTK+GbHNxGRGgvfREREMRSq2xtgxzcRacfJJ58c8vIbbrgBs2fPxrZt27BlyxYcc8wxrTwyAoAPPvgAAPDuu+9i5MiRquseffRR3H333ejcuXMMRkZE4ciyHLLju87phs3phsXIE4lERAAL30RERDEVrvBd62Dhm4i0z9flbTKZYjyStmvv3r0AgG7dugVdV1hYiMLCwtYeEhHVI9yMQQCorHOy8E1EdAQzvomIiGLIFWJhIoAd30Skfa+//jq2bNmCXr16hSy6UsuaMWMGJEnCt99+CwDo2rUrJElSZXqHy/gWs7fnzp2Lvn37IikpCe3atcN1112HioqKoOfbtm0bZsyYgaFDh6Jdu3YwmUzo2LEjrrjiCmzdurXJf89NN90ESZIwZ86ckNfLsozu3btDr9dj165dTX4+olgK1zgBAOXM+SYiUrDwTUREFEPhO77drTwSIqKW9cQTT2Dq1Km46KKLcOyxx2LKlClo3749Fi5cCJ2OhyWtrX///pgyZQoKCgoAABdeeCGmTJmCKVOmoF27dlE9xt///nfcdNNNSE9Px9ixYyHLMl5++WWcd955kGX199vcuXPx4IMPoqqqCoMGDcJ5552H9PR0LFiwAIMHD8avv/7apL/n+uuvB4Cwhe9vvvkGO3bswOjRo9GlS5cmPRdRrDkCGicsRv9naLmVOd9ERD6MOiEiIoohV4h8RoAd30SkPV988QWWLl2q/N6pUycsWLAAAwcOjOr+ffr0CXn59u3b0b1796YPUJYBW2XTH6e1WTKAI93XDTFu3DiMGzcOI0aMwMGDBzFr1iwUFRU16DHeeOMNrFq1Cv379wcAlJSUYOjQoVixYgW+/fZbVWb4uHHjcM011wS9Vq+++iquvPJK3Hbbbfjmm28a/Hf4HHfccTjppJPw448/YsOGDejXr5/qel9B/Jprrmn0cxDFi8D9x7w0M/aU1QEAKuvY8U1E5MPCNxERUQw5w0SdWFn4JiKN+frrrwEAFRUV2LhxIx566CGMGDECM2fOxD//+c8Yjw7eove/E7AT+B+7gKTMmDz1ww8/rBS9ASA3Nxc33HAD7rzzTnz33XeqwveJJ54Y8jGmTZuGefPmYdmyZaisrERGRkajx3Pdddfhxx9/xNy5c/Hss88ql5eWluKDDz5AQUEBzj333EY/PlG8CIzKy0+zKIXv8lp2fBMR+bDwTUREFEPhFidi1AkRaVVmZiaGDRuGTz/9FEOHDsX999+P0aNHY/DgwRHvt2nTppCXh+sEp5Y3evTooMt69eoFADhw4EDQdTU1Nfjoo4+wfv16lJWVwel0KreVZRnbt2/H8ccf3+jxXHzxxbj99tvxxhtv4PHHH0dSUhIAb5683W7H1KlTYTQaG/34RPHCGbD/mJvqXyC4goVvIiIFC99EREQx5PJwcUsiapuMRiMmTpyIdevW4aOPPqq38E3xp2PHjkGXpaamAgDsdrvq8m+++QaXXHIJDh8+HPbxqqurmzQei8WCK664Ak899RTeffddXH755QC8+eKSJOGqq65q0uMTxQux41uSgOwUs/J7BRe3JCJSsPBNREQUQ84wGd+1LHwTURuQm5sLABGLoa3GkuGNDUk0lsZHgzSVFGW2eE1NDS6++GKUlpbi/vvvx6RJk9ClSxckJSVBkiRceumlWLRoUdCCmI1x/fXX46mnnsLcuXNx+eWX48cff8Tvv/+O0047DT179mzy4xPFA3H/0ajTISvZP5OhnIVvIiIFC99EREQxFC7qpMbOqBMi0r7ly5cDQPMsTtlUkhSzrGytW7FiBUpLS3HhhRfioYceCrp+x44dzfZcvXv3xogRI7Bs2TJs2bKFi1qSJolrxBj1ErKSGXVCRBSKLtYDICIiasvCLW5Z62DHNxElvhUrVuDtt9+Gy6X+THM6nXj22WexYMECJCUlYeLEiTEaIbWG8vJyAECnTp2Crtu2bRt+/vnnZn2+6667DgAwe/ZsvPPOO8jOzsYFF1zQrM9BFEsuoePboNchQ+j4ZuGbiMiPHd9EREQx5Arb8c3CNxElvu3bt2PatGnIzc3FwIEDkZOTg5KSEmzcuBEHDhyAxWLB/PnzQxZESTt8C14uWbIE9957L/Ly8gAAFRUVuOqqq5RFLpvLBRdcgLy8PLz88ssAgGuvvRZms7meexElDqcnfMc3o06IiPzY8U1ERBRDrnAZ3w5GnRBR4hs+fDjuvfde9O7dG7/++isWL16MH374AdnZ2fi///s/bNy4ERdffHGsh0ktbNCgQRg1ahR2796NXr16Yfz48Rg/fjy6du2K/fv34/zzz2/W5zOZTJg2bZry+9VXX92sj08Ua6qO74CM74o6dnwTEfmw8E1ERBRDLk/oqBMrO76JSAO6du2KRx55BN9//z32798Ph8OBmpoa/Pbbb3jmmWfQo0ePWA+RWsmHH36If/7zn8jLy8Nnn32GdevW4ZJLLsHKlSuRmZnZ7M93+umnAwBOOukk9OnTp9kfnyiWXEJUnkEvIVMVdeJoloViiYi0gFEnREREMRSu49vKjG8iImoFy5YtC3vd/PnzMX/+/KDLd+7cGfY+I0aMCFl0S0pKwsyZMzFz5sxmeZ76vPvuuwC4qCVpk1OIyjPqdcgUok6cbhlWhxupZpZ7iIjY8U1ERBRD4TK+rXZGnRARETXGrl278MYbbyA3N5cLp5ImOV3qjO+MJKPq+grmfBMRAWDHNxERUUyJU1VNeh0cR35n1AkREVHDPPHEE/j111/x1Vdfoa6uDo899hiSkpJa5bk9HhklNXZAAvJSzZAkqVWel9omMSrPoNPBqNchzWxA9ZH9x4paJzpmxWp0RETxgx3fREREMSROVc0Q8hntLo+qKE5ERESRffLJJ3jjjTdgMBjw4IMP4v/+7/+a9HhlVgd2l9aiNor4sTKrA8VVNhRX2rwFcKIW5HSLUSfekyyZKf79yHJ2fBMRAWDHNxERUUy5hY6djCQjDlf7D5atDjcykniOmoiIKBqR8sobyuFyY195LWQADrcHPfJTI97e5vJHlJXXOpGXZmm2sRAFUnV86737iplJJuxBHQBvxzcREbHjm4iIKKbEjp10i/p8NONOiIiIYsPm9MD3DW131b/uhrhkh83phs3JtTqo5Yj7jwbdkY5vYeYgM76JiLxY+CYiIooht3CknGTSw2TwfzVHM7WaiIiImp9TiBsLsw61iiyrb1RZx45bajni9mk80vGdlWxSLitnxzcREQAWvomIiGJKzPE26HRINfu7vmvs7BYjIiKKBZdQ7ZZlOaiwHSiwOM7CN7UkV6iMb1XHN7c/IiKAGd9EREQxFThVNdmkR5nV+3sto06IiIhiwhmwwLRHBo7UF0PyBBTGWyPuxOHy4L/LtmF3aS16FKTi6HbpOLowHQXpZkhShMFSwhO3TyXjW+j4ZtQJEZEXC99EREQxJEadGPRSQMc3C99ERESxIHbUAr4ok/DF5FAd4VUt3PX9ycb9eOrrP4Muz0o24qh26RjdpwCXn9hFKYySdogzEnwd31lCx3c5C99ERABY+CYiIoopp0cddZJs0iu/1zoYdUJERBQLwR3fDYs6AYBKW8sWvv88WBPy8vJaJ37aUYqfdpQiP82Cs/sWtug4qPUFRuUBAVEnjNohIgLAjG8iIqKYEjvKDHoJKez4JiIiijlXQCW7vgUuQxXGbU53vQXzpiiz+rt6O2QmoSDdHHSbPw9Vt9jzU+w4A/YfgcCoExa+iYgAFr6JiIhiSjywNuh0SDH5C9+1Dha+iYiIWpssy2GiTsITC+Nivra7vop5E5TU+AvfU08qwqp7z8DP94/CGUcXtMrzU+yIMxJMR6JsspjxTUQUhIVvIiKiGFJPVQ3s+GbUCRERUWtzeWTIaFjHtyzcIN3i/y5vycJzmdWu/JydYlL+n5fm7/x2uln41iKXJ0THd5I/6qSyzgkPT3oQEbHwTUREFEuBBy4pZiHjm1EnRERErc4VkO8NNCzjW+y8lWXA7mqZE9li1El2qv85fYsdAoDbE/y3UOJzhsj4Frc7jwxUtXDGPBFRImDhm4hIQ3YcrsHcFTuwp6w21kOhKIlTqY16narj28qoEyIiolYXqks6UvOsR1Z3iFuMeliM/hPZlS2Ut1wqFL5zUvxFT73OX/hmx7c2qfcfva93msUA4aVnzjcREVj4JiLSDJfbg8vnrcbMT/7A1a+trTeLkuKDS+jE0uskpJj8B8qMOiEiopa0c+dOSJKEESNGxHooza4pf5srRJd0pP2qwOt0UnDsRHNzuDyotvlPkOek+uNNjHr/YX6ov4USn/i6Go683jqdhAxhuytnzjcREQvfRERacbjGjn0VdQCALQerUcOYjIQgdmJ5o06ExS35GhIREbW60B3f4Qvfgd3gOkldgKxzevDX4ZpmGx+gjjkBwnd8c3FLbRK3UaPweqsXuGTHNxFR3BS+a2tr8cEHH+Cqq65C3759kZ6ejpSUFPTr1w8PPfQQamqad0eBiEhrnC71gU2tg93CiUDM3jTqdEgxiYtbsvBNRETU2kJnfIe/fWBRXJIAc0DcyRebipttfABQKixsmWxSP5eRUSeaJ2Z8ix3+Gcn+Ey4Vdez4JiKKm8L3woULMX78eLzyyivweDwYO3Yshg0bhr/++gsPPPAABg8ejEOHDsV6mEREccsRcJDGomliEDMa9bqAjm+evCAiohYyY8YMdO3aFQCwfPlySJKk/Dd16lTlditWrMDNN9+Mvn37IisrC0lJSTjqqKNw9913o6KiIuhxly1bpjxGcXExrr76anTs2BEGgwFPPfWUcrulS5fi1FNPRUpKCnJycnDhhRfizz//xIwZMyBJEubPnx/02DU1NXjooYdw3HHHITk5Genp6Rg+fDg++OCDRv1toTzxxBPomJ2CZ//9sOpysbh92mmnQZIkfP/99wC8C1j66I48DwBkWPxFyM82HYz4vA2lWthS6PYG/NEXADu+tcqlmjHof73Fju9yKzu+iYgM9d+kdZhMJtxwww24/fbb0bNnT+XyAwcO4Oyzz8Yvv/yC2267DQsXLozhKBNXtc2JW99aj4paB2Zd1A/d8lJjPSQiambOgMJ3LfOhE4LTo16cKNns79iy8uQFERG1kP79++PCCy/Ee++9h4KCAowdO1a57pRTTlF+/tvf/ob169fj2GOPxciRI2G32/Hzzz/j3//+Nz7++GOsXLkSqanBxxaHDx/G4MGD4XK5cMopp8BmsyE5ORkA8N577+Hiiy+Gx+PBySefjE6dOmHt2rUYMmQIzjvvvJDjPXjwIEaOHInff/8dHTp0wKhRo1BbW4uffvoJ48ePx6OPPoq77767QX9bKNOmTcN999+PD99ZiBvuvAcGg/eQ2Vfc3rZtG5YvX46jjjpKeSyxKC4uLpieZMT+Iz9vOVCFv0qs6JqbEvH5oyUWvsV8byBwcUtmfGuRuuPb/3pnih3fzPgmIoqfwvcVV1yBK664IujywsJCPP/88zjppJOwZMkSOBwOmEymEI9AkXy4fj++2eztmJ+zYgcevaBvjEdERM0t8MCGHd+JwR2wOFGq0PFtdfA1JCJqbXa3HXa3vf4bHpFmTFM6fH2qHdWQEV2nrVFnRJIhSXWZ0+1Enbsu4v3MejPMenPE20Qybtw49O/fH++99x6OOuqokB3WADB9+nQMHToUWVlZymV2ux233HILXn75ZcyePRvTp08Put+nn36K8ePHY+HChbBYLMrllZWVuPbaa+HxePDOO+/goosuAgC43W7ccMMNmDNnTshxTJs2Db///jv+/ve/Y+bMmTAavQW+HTt2YPTo0bjvvvtw1llnoW/fvlH/baHk5uZi1Fnn4ZP3F2PF0i9x2pizAPiL23PnzoUsy7jmmmuU+4hN1eK2YDHqIW4aP+8qb7bCd0mNUPgO6PgWC6EuRp1okkvY6AzCiY7MJCHjuwUWVSUiSjRxU/iOpF+/fgC8O1ilpaUoLCyM8YgST3GlTfl5Z0ltDEdCRC0lqOObRdOEoFrcUich2SR2fLNrn4iotc3bOA8vbHgh6tv/MOkHpJvSVZeNeXcMqp3VUd3/vO7n4ZFTHlFd9slfn+D+H+6PeL8b+t2AG/vfGPU4G+uss84KusxsNuOpp57CK6+8gg8//DBk4dtsNuPZZ59VFb0BYPHixSgrK8OYMWOUojcA6PV6zJo1C2+99Raqq9X/duvXr8dnn32Gk046CY899piquNytWzf85z//wbhx4zB37lw888wzTfp7ZVnGhZdNxSfvL8aSt14XCt+Ay+XCa6+9BpPJpGraklUd3+qTIOJYm7MpoUzI+A6KOtH5oy9cjDrRJHG/Xx114u/4LufilkREiVH43rFjBwDAaDQiOzs7xqNJTGJObElN9B0sFNqvh3+FR45u2mCWJQtd0ruoLiutK8We6j1RP1+vrF5INiarLttStgV1rsidQD4pxhT0zOqpuqzaUY3tFdsBAF0zuiLDnBH1eCg+OQIWt6zv4KrcVo5dVbuifvwemT2QalJPZd5avhW1zuhOpiUZktA7u7fqMqvTij/L/4x6DJ3TOyPboq3vAXEBLYNOCur4lmU5qJOwLamwVWBn1U7l926Z3YIKTNvKt6HGGd0i2Ga9GUfnHK26rM5Vhy1lW6IeU8e0jshNylVdtrtqN8psZVHdP9OciaKMoqifj4go1vbt24ePPvoImzdvRlVVFTxHZiuZTCb8+Wfo7/Hjjz8eHTp0CLr8xx9/BABV0dsnPT0do0ePxnvvvae6/KuvvgIAnH/++SG/E32RI2vWrGnAXxWa2yNj4AknoVuvo/DDt1/j4IH9KChsD9kj46OPPkJxcTEmTpyI3Fz/90C4qBMAEH9tzrU7VFEnQRnfQse3h1EnWhQ26kTYFhh1QtR6fthWgvV7KnDJ4E5B8VMUWwlR+H766acBAGPHjoXZXP8G1KdPn5CXb9++Hd27d2/WsSUKsfPzMAvfTXb919ej2tH4Lp7v932P+364L+rne+ecd4IKNff9cB82l22O6v4DCwZi/tj5qss2l23GlV9cCcBbCJo7ei765/ePekwUf4I7viMfXK0uXo27lt8V9eO/fubrGJA/QHXZwz89jPWH10d1/z45ffDWOW+pLvur8i9c/tnlUY/h0WGP4pxu50R9+0Sgmqqq1yHZ5P9qlmWgzulWXdaWrDu4Dtd8eQ2cHn/H0kujXsJJ7U9S3e7fa/6NlQdWRvWY3TO644NxH6gu21e9r0Hb4QNDH8CEXhNUl73y2yt478/3wtwj2JRjpuCuwdG//4iIYmX27Nm455574HA0rIjWuXPnkJfv3+9Nve7UqVPU99u5cycA4B//+Af+8Y9/hH3OkpKSBo0xFN/aGxMunYLHZ9yDD95+E9fd9jd4ZCgxLGLMCRA+6iRQXTPOxisVo05SI3R8M+pEk8TX1Sh0fGcmiRnf7Pgmag3bD9dg6qur4XTL2LS/Ev+9bGCsh0SCuD+S/vTTTzFv3jwYjUY8/PDD9d+BQrIKBbCKWifsLjfMBn2Ee1BbYnfb8fnOz1n4TnCBhW/fwoi1zlpYnVakmdJgMVhC3ZViyBUQdSJ2fAPeuJO2Wvj+eMfHqqK3VmRbsvHTgZ9iPQwiCuOq467C5GMmR337NGNa0GVfTPiiQRnfgc7uejZGdh4Z8X5NyfeO1sqVK3HnnXciIyMDL7/8MkaMGIF27dopzUjt27fHgQMHQt43MOIkULgCsRgb4uN2e49lhg0bhm7duoV9TLELu7F8M7HOnTAJzzz2ED545w1ce+td2Lt3D7744gt069YNI0eqX5tIHd+ilur4zk5Rbwti5jM7vrXJGdA44ZOV7D8JUs6Ob6JW8fXvB5X4yt/3V8V4NBQoro+k//jjD0yePBmyLOOJJ55Qsr7rs2nTppCXh+sEbwtqAyIPSmscaJ+ZFObWVJ/cpFxY9NEVENNMwQdDZoMZeUl5UT+fXhd8kiLLnBX1Y2SaM4MuM+qMSDYko9bljamINq6C4pfDFVj49h5cfbPnG9yz4h4AwPH5x+O1M18D4D1gbsh2aJCCvzIyLZnRb4eWzODH1BkaNAbxfSfLMhweB3SSLmTRIFG4Aw5cLEYddJK/e8xqdyEvrW1Ol6uwVSg/pxhTkGxIhkkXvMB1hjkj6u0oy5IVdJlep2/YdhjiBFKqMTWqx+ic3hlPn/Y046WI4lhTF40EQu//NYRRb4RRH/vvtvfffx8AMHPmTEyZMkV1XV1dHYqLixv8mL71mnbv3h3y+j17guMAO3bsCACYMGECbrnllgY/Z0P4ihfpGRkYfe54/G/xQvz03bfYvGEdPB4Prr766qCivZiAGJzx7f+51tl8he/SaKNO2PGtSWJUnlFc3DKZHd9ErW3ljlLlZyc/c+NO3Ba+9+7di7Fjx6K8vBx33HEHbr311lgPKaEFdheU1NhZ+G6C/437X5PuP7ZoLMYWjW3SY7w8+uUm3b9/fn9cddxVePaXZwEANretnntQvHMEdnwfmU5bZfefdRaz4kd0GoERnUY06TmfHflsk+5/VPZR+Obibxp8v8mfTsaGwxsAAP8Z/h+MLhrdpHHEktOjzmiUJAkpJgOqj5ywtLbhRUqrHP5t965BdwXFi/jMGj6rSc/TNaNro7ZD0V2D72J0CRElHJPJWzB1uUJ/15SXlwMIHUuyePHikN3Z9TnppJMwf/58vPvuu7jqqqtU11VVVSl53qIzzjgD999/Pz744IOoC9/1/W3hiAXFiyZPxf8WL8S7b87HHxvXw2AwYOrUqUH3ibbju64ZO75LayIsbqnn4pZap5oxKEadCIXvGrsLTrdHFYVCRM3L5fZg7c5y/++cZRN34vITsKSkBKNGjcLu3bsxbdo0zJrVtANaUmd8A8DhauZ8k3qKrMPNqXCJLvDssi/qRCweBi4KmKh0kv/ry+5O7M8z8cBFf+RoOdnsn+Xh69xvi7S47RIRxZPc3FwYjUZs375diRMR9erVCwAwb948OJ3+7tHff/89YtZ2JBdddBGysrLw+eefqxax9Hg8+Mc//oGqquBp4ieeeCJOP/10fPvtt7j99ttRU6Ne0Njj8eDLL7/E999/H/XfFo5YKB44+AT0PuZYLP3sI+zfuwfnnHOO0rGuev4IGd/ib9Z6Fh6PltPtQZXN/1hBhW9GnWie2DghdviLUScAu76JWtrvB6qUhiWAs2ziUdwVvqurq3HmmWdi8+bNuOCCCzBnzpyIC4RQdKwB3QUsfDdclaMKf5T+gX01+1DjqKn/DglALHyz4zvxhcv41mLx0KT379QnfOFbjDo5shhVipDz3aY7voXZCulmbWy7RETxxGQyYezYsSguLka/fv1wxRVX4Oqrr8arr74KAJg2bRratWuHjz76CL1798bEiRMxatQo9O/fH8OGDUOXLl0a/JyZmZl48cUXodPpMGHCBAwbNgyXXnopjjrqKCxatAiTJ09WxiZ688030bdvXzz11FPo0qULTj/9dFxyySUYNmwY2rVrhzFjxmDt2rVR/23hiPtTJr0OEy6bqvweuKilj6zq+I6wuGUzRZ2UW9UNK8GLWzLqROsCt1OfZJNe9XsFc76JWpQYcwJwlk08iqvCt91ux/nnn4+1a9dizJgxWLRoEfR6LsDYHAIzvktqErtQFAs/H/wZF398Mca+NxaTP41+waN4xo5vbQkqfB854aXF4qGY9Z3whW/hdfMdqKYIi1k2V3dYItLiSZsaRw1K60pxoOaAJhfuJKLEM3fuXFx++eUoLS3FwoULMW/ePCxfvhwAkJOTgzVr1uDSSy+Fw+HA//73P+zbtw8PPfQQFi1a1OjnvPjii/H555/jlFNOwbp16/DZZ5/hmGOOwapVq5RFMXNyclT3KSgowMqVKzF79mz07NkTa9aswQcffIC9e/diwIABeP7555WieTR/WzjiDDqTQYchpwwHALQr7IAxY8aEvI8q6iTwCFsohDfX4pYlNf799iSjPmgRbFXGN4swmhS4OLqPJEnIEHO+67ivQdSSVu4oU/3ucnOWTbyJm4xvt9uNSZMm4dtvv8WwYcOwZMmSoLP81HiBC6mw47vhVAUYjRQPxcK33cVtItEFL27Jju9EoOr4PnKgmiJEndS20agTt8eNGqd/do1Wtt1T3joFbtn7mn4y/hN0Tu8c4xERUVuXn5+P119/Pez1HTt2xJtvvhnyup07dwZdNmLEiKiyv0eNGoVRo0apLvN4PPjpp58AAP369Qu6T1JSEm6//Xbcfvvt9T4+UP/fFooYDWIy6PD1Jx8CAC6YdHnYpqxoo06aq/BdJnR8B8acAP4ZZACLMFrlDJPxDQBZyUbleD9wdgARNR+X24M1f6kL306ebIw7cVP4fu6555RVw3Nzc3HjjTeGvN2sWbOQm5vbmkPThMDCyWF2fDeYqmtWIwUYs0EofCd48ZBCZHz7Or41WPjW0kkbl2pxyyNRJ0LnVk0b7fgWi96Adk44mvQm1LnqADBiiojarn379sFoNCI/P1+5zOl04r777sOmTZswcuRItGvXrtXHJcuyqpPWXluDt+bPhdFkwoWXTgl7v+gXt2ye7/RSq3/fJzDmBGDHd1vgClgcXZQp5Hyz45uo5QTmewM82RiP4qbw7VsxHIBSAA9lxowZLHw3kMPlgSPgzceO74bTfPGQhe+E15YyvrW07YZa3FLM+A5cnLit0Ek6XHPcNahyVKHKUYVUY2qsh9QsLHqLUvhmxBQRtVUrVqzA5MmTcfzxx6NLly6wWq3YsGED9u/fj+zsbDz77LMxGZfbI8Mjy/jg7TexbuUP+HXtShw+VIzJV9+I3IJ2kGU55PpTYoN7YMZ3S3d859Tb8c3Ctxapo07UHd+ZSULUCTO+KYG4PTLW7ylHj7w0VWRPvArM9wa8M4A8Hhm6SGdBqVXFTeF7xowZmDFjRqyHoUl1IXawxFw4io4Wo04KkgswpmgMzHoz8pPz678DxbXAwrcv21+LGd9aKnyLnfrGEFEnNW006iTNlIZbjr8l1sNodmJMj83Fjm8iapsGDhyIyy+/HCtWrMAff/wBh8OB9u3b49prr8U999yDoqKimIzL1x29buUP+N+7i5CXl4dJ067FrXdPB+AtcIdauzJix7fwe8tEnZiDrld3fLP7UIvE/f7Aju8soeO7vJYd35Q4Hv74d8z/cSeyU0xY/rcRSLPEd/E7MN/bx+WRYWLhO27ETeGbWo41RLcgO74bTotRJz2zemLW8FmxHgY1k8CZHTVa7vjWUEyPWzgg9XXsiFEnbbXjW6u4qDAREdCzZ0+8+uqrsR5GEN8U9Yef/C/+/cyL6FmQik37/ftRHlmGDsHFjEgZ36Jahyts13hDiE1MoaJOjGLHN6NONEld+FZ3fIudslWMOqEE4fbIeHfdXgDek3s/bi/FmD6tH3kVLbdHDsr39nF5PDAhcKVjihW+Em1AqM6CGrsrZCc4hScWD9NMaTEcCVFogYtb1jrccLgdSqwCoKHCt4Y6vkNFnSSbmfGtVeJJG2Z8ExHFF6dHvWBgYIE6XA1Z3fEdPurEIwN2V9M7sMuEjO9Qi1vqhU5DRp1oj8cjq7ZFQ0DHd5LRP3Mwno/5HS5PVAvhUtuw43CN6rhnT1ltDEdTv9/3B+d7+/CEY3xhx3cbEK5bsKTGjk7Zya08msSlxa5Z0pbAqBOXR4bN6cbdQ+725iTbq5BpyYzN4JqZlgrfzhCLW6YKUSeBixNTYjPr2PFNRBSvxH0pg06CTpIgQYIMbxEjXJFOnfEd+TnqHG5YhMJkY6ijTkJ0fAuF0MD9Q0p8zoD4msCO72STUPh2xud+5KcbD+CuxRvQLS8Fi687CUmmpr0nKPFt2Fup+n1veV2YW8YHMd/7qHZp2FxcrfzOE47xhYXvNsAapmhyqJqF74bQYtQJaYvTFfwF63LrcdnRl8VgNC2rT04fTDpqEix6C3pn9471cJrEreouO9LxLUSdhIqragtWH1iNDYc3IN2Ujt7ZvdE/v3+sh9Qs2PFNFDti967H44FOx8mvpOYKse6GTgJ8F3vCFL7FywO3M9/vvkbvWqcbWU0cZ6lQ+M4NEXUidny72XmoOYFFNUPA2ZakBCh8P/nVVtQ63PhtXxW+/L0Y5/fvEOshUYxt2FOh+j3eO77FwvcpPXIDCt884RhPWPhuA8J1fDPnu2G0uLil0+3E0t1LYXfbYXfbMb7HeBj18b2ABIUXqqPHaneF7ARKdEPbD8XQ9kNjPYwmk2VZtbil78AllVEn+H7/93j1N2/+64ReE7RT+GbGN1HMSJIEk8kEh8MBq9WKjIyMWA+J4oxYrDAc6aKVJElp6Y4u6sR/udVqBQCU2dzwPXJdM5zQLq2JvLil2AHs8sjNkitO8SOo8B3Q8W2J86iTMqsDfx6qUX7fWRLfBU5qHRv2Vqh+31Mev9uF2yNjtZDvfXLPXMz9/i/ldydPOMYVFr7bgHCrhx+uYeG7Iaod/jN4Wun4dngc+Nt3f1N+H9VlFLL0Te1BoVgJXNwSaLvdwokisAvLd+AiTlFtq1EnWp1lY9L7T0QlekwPUSJKS0tDaWkpDh48CABISUlh5zcpHC43ZNm7P6WX5CMd2x7lMrfbDY8neHvxeISsYlmGy+WC1WpVtrOtZf79sXCzcaPldHtQKSxYmBOiwSEw89ntkYMuo8QVuM9vDHht4z3qZN2uctXv8VzgpNZhd7nxx4Eq1WV7yurqPWm3fOth/LitBJOGdEZRbkpLD1Mh5nsbdBKGFGVDOEcKN6NO4goL321A2IxvdnxHTZZlPHzKw6iyV6HKUYWClIJYD6lZiJ2HAIswiS5cxzfFr8CFT4zs+FZodV0Fi96i/MzPXKLWl5OTA6vVCpvNhv3798d6OBRnbE63UrgortLhsE5SXba7SqeKEfFxCo1GO6vVi2JaLBasP+j/Lg/XlBSt8lr1bKH6FrcEvPsbBkYoa4arnozvhi5uufSPg3jiiy0Y3isP95x1dPMMMoK1O8tUv8d7pAW1vD8OVKtmwQLekzalVgdyU4NntQBAcaUN17y+Fg6XB7/srsA717febGAx5qRvxwykmA0w6CTlbwjM4afYYuG7DQjXVcCO7+hJkoSxRWNjPYxmZ9AZoJf0cMvebYRFmMQWuLMAAOsOrcGXxT8j3ZyOo7KPwumdT4/ByCicwMK370A1WSh8hzt5qXVajJcCgNFFo9EjswcsBgsG5A+I9XCI2hy9Xo/OnTujtLQU1dXVcDgYOUR+2w7XwFev6JmfiiSTHnvL65RidefsZGQmq2MBPbKsim04pjANBr03VictLQ05OTnQ6Xcp19c5m/a9Li5saTHqVN29PsaAWQxOt6fJC2pS/Kg349vYsI7vf3++GVsP1mBzcTUmDOyIngVpzTPQMFYHFL7jfRFDanmB+d4+e8pqwxa+1+8ph+PI4gkb91WGvE1LEQvfJ3bLAQAYdDo43d73Gxe3jC8sfLcBzPimSMx6M2pd3rPsLHwntlAd31vLf8MXBxYCAM4sOlMzhe+D1oP4evfXsLvtMOvNCbuAZ+A0OF/USarZf8DS1CnRiUqrUSejuowCusR6FERtm16vR35+PvLz8yHLsj+igtq0GrsL5y/4Svl9xT/6IS/NjIdXrFI6VP91QXuc0Luj6n5lVgfGv7FU+X3t/ccjzWJUdX2Li1Y3teO7TMj3zkkxh4wB0IeIOiHtEPf5DTopaBtQLW4ZxfZ2oNK/2Pa+iroWLXzXOdz4LaBIeaCyDk63J6hzndqOwHxvnz3ldRjQOXQU6/bDVuXnOqcbNqe7VU7wBeZ7K4VvvQQcSaEKdVxOscPCdxsg7lyZDTrYj5wVK2HHN0Fd+OZCa4nNd8ZbpNWu2b01e/HY6scAAPnJ+Qlb+A6cBufLaBQPkB1uDxwuD0yGtnUwoNWoEyKKL5IUXDSitulwjQOOI1/Lep2EvDQLdDoJRoNeubzO6QnKhHe4ZeV6wPsdHqkQ2dTCd4lVXNgy9ALmwR3fLHxriThjMFR2e1IDM77F4ni1rWVnGm7YWxG0PXpkYH9FHbrktF5GM8UXsePbqPdHhkSKwdkhFL4BbwxUYUZSi4xP9McBdb73wC5Zys8+PNkYX9rWUXQbJe5cdclJVn5mxzcBgNngnzpkc9ki3JLiXagzy9VO7S3KCqjz6RN5pkLgNDhf1EmKWX1eui3GnbDwTURErelQlX9/IjfVBN2R7+T6YiPEy4x6SZm9JUppYAduJGVC81K4wneoxS1JO8R9/sCTHEDwNhtpVovD5VEV0lu68B2Y7+2zp4xxJ21Vlc2JHSX+IvbwXnnKz3sjLHy6o6RG9bsYA9WSxJiT447kewNQffYH5vBTbLHw3QaIi9uJZ1EPV9s5tTNKKw+sxF3L78JDPz2Ed7a8E+vhNCuxgMiO78QWuMI7AFid2iwextN2u2l/Jf7x7q/4/LcDDb5v0OJERw5eUgLyOq1NPEhONB7ZgxqHf2dWS9suERHFp0PV/gaQ/DT/QsQWo/+Quc4RvK8lFrLDTbNv1qgTobiTkxqm8B2Q+cxp99oidkwbQ8wIFDu+ZRnKjO9QAk/EVNuczTDC8NbsLA95+W4ucNlm/ba3UllAON1iwCk9cpXrIp0Q+atE3fFdUduy265PqHxvADAKn7ucZRNfGHXSBqg6vrP9Hd92lwc1dhfSLMZQdyPB9ort+GLnFwCAYR2G4eLeF8d4RM1HLCDa3Oz4TmROV/AXbK1bKB5qKOpEtd26bJBlOWZT1f/+7q/YtL8K7/+yDz/cnY28tNALsIQidnxLEpTuMoNep4qmEk9gtgXVjmrI8P/baGnb3XB4A5bvWQ6H24GuGV1xYa8LYz0kIiKCejZsQbr/u1wsItpcwUVrm9DxnRSm8K2OOmnad3qpWPgO0/EtSRL0Oknp9A5cTJsSmysg4ztQ4HZY5wiffRw4i6ElO77dHhk/7/IXvttnWLD/SL74ngidvaRt64V8736dMtFZSCkIt12UWR1Bhe7W6Ph2e2SsCpHvDQR0fLPwHVfY8d0GiDtXHbKSlKn0AONOoqVaZE1DBRggvjpnqWlCdfPY3NrsmhW3WxkyXJ7YFIbdHhl/HPB+PjjcnqDOg/qIHd+BU1XFuJO2VvgWY04AINWYGqORNL9NJZswZ+McvPb7a/hmzzexHg4RER1xsMrfAJKn6viOHFNic3pC3laU3IwZ36U1YsZ3+JPt6rxZdnxriarjO0S0TlDhO0LOd+CJmJbs+N5c7M9G1usknNOvvXJdpCxn0rZf9/gXO+3bMQOdsvyF7/0VdSGjmnYcrgm6rKK25WsZ+8rrlJNDkgQl3xtQf+Yy6iS+sPDdBohT5FPNBlVnAAvf0dFy1iw7vrUjVNSJ3aP9wjcQu223otYBcV+ssq5hBwuRFidKMfsPWqz2thV1Uu3wZ9OnGdOg17X8Cu2tRSv59EREWnNIOC7KF2ZviUVEWz0Z39F1fDdj1EmYjm9AXYThtHttEYtqoRa3NOh1MAkF8UjbXOB1LdnxvVaIOenTPh29CtKU3/eUM+O7rdogdnx3zERHofDtdMsorgo+zgtc2BIAyqwtH3Wyr8K/neammpEqNCqJ70V2fMcXRp20AeJZ3BSzAXlpZmXH7nAND7qj0VYK3+z4TmyhOr6dsn+nIM2UFnR9ohIXZQW8BcQ0tP7fVxowpa6qoYVvYadIHzBVNUXIA7W2scUtj84+GqsuXYUqRxVqndrqABK3XbuL38FERPFCXNwyX4g6sTRgcUuLKUzHt9H/nV7X5KiT+he3BHzT7r1j4+KW2iLuP4aKOgG82fS+pphQJ2x8ArfpqhYsfK8RFrYc1CUbnYUY1r3s+G6TDlXZcKDSX9ju3ykTSSY9clPNKDlSq9pTVosOmUmq++0IMcu2vBU6vg9U+gvf7QPGZNBxcct4xcJ3G1ArdAomH/kQ8Slhx3dUVFEnGit8/33w31HnroNFb0Fecl79d6C4FdzN44Yb/h0JLcX0BHZ8x6pztiTg5GFDO77FkxWBU1XbctSJJElINiYj2Zhc/40TDDu+iYjik7i4ZYEQdVJfx7d4mSXEQoOAehZXayxuCQR2fLMIoyWR9h99kkx6pYgdOeqkdRa3lGVZVfge0jULnbL9hcNSqwNWu0u1/0vat2GvP+akXboF+enez95O2UmqwreYpQ2EjjppncK3/3uifYZFdZ1R7Pjmyca4wk+VNkD8Mks2GVQLr7HjOzqqjm8NFQ8BoFtmt1gPgZqJM2DFdkmvnhampZM2OkkHo84Ip8e7cx6rAqKYswkAVQ08WBA7sAI7dsQ8UGsTD5IpfrDwTUQUn8J2fJvEju8Q66mIUSdhOr6TTJG7xqPlcntQLizolhMp45tFGM2qL+Mb8B73A95tOtLJlsAZCC0VdbK3vA4HhffYwC7ZyEkxwaT3d6bvLa9D73bamaFK9duwp0L5uV+nDOXnTlnJ+GW397pQMTihO75bPupkvxB1Upih7vgWZ+8y6iS+MOO7DRCnyCeb9OrCNzu+oyIWvrUUF0HaEpTxrbNDkr2dQDpJhxRjSgxG1XJUBcQYRUaUNrnjO3zhO7UNd3xrGQvfRETxp87hVhbdA4D8cB3fIQqI4oKX4TK+VSezm/CdHljYyY7Y8S1Mu2cRRlPqy/gG6l+U1Seo49veMsVDsdu7a24K8tLM0OkkdMjyFw+5wGXbo8r37pSp/CzOBgiMwXG5PdhVGqLwbW35jm+x8N0+U93xbRBOQnGWTXxhx7fGybKs+jJLMRvUUSc1zHSOhpYzvkk7Ar9gZWc2sg7Pwld3nIxqRzV0krbOdZr1ZtQ4vdPcYtbxHZTx3bCDWfWBS/iok9o2VviWZRmSFPpALtGx8E1EFH/EmBNJAnKFgrLF6P9+DtWtbRO6wC3hFrcUMr6bEnUixpyYDDqkhOkwBwI7vlmE0RJVx7cuTNSJsN02JOO7pTq+1wgLWw7qkqX83DErCX8d6d7dzcJ3myLLsrrju2Om8nMnYYHLPeXq7WJfRV3IBXtbPeokIOObUSfxi4VvjbO7PKqp9Cns+G6Uake18jML3xSP3B4Zob5frXYXTHoTcpJygq9McG+e/Sb0kh5mvTlmMzECTx42tONb3CkK7NgRD2Zr7G0r6uThlQ/j078+RbopHZOPnowr+lwR6yE1Gxa+iYjizyHhmCgnxaw6GV1fxrdqccsoOr6bEnUiLmyZm2KKeJLYwGn3muVy19/xLcbrRI46CS58t0QDwlqh43twUbbyc6fs8AVO0radpbWqxVSP6yhEnYjbRZk66mTH4eBub6D1O74LAzK+9arFLfmZG09Y+Na4wC+yJJMeeaksfDeE0+1Encv/AZdhzohw68TzzpZ38O7Wd2F323Fap9Nw28DbYj0kaoRw06msGi6YdkjtEOshBC1u2dCMb1eEqBNVx7ejbXV8VzmqYHVaYXVa4fBoa2ZSPET0EBGR2sEqfxdffpo6N1ssfIfu+G5Y1ElzdXxHijkBAqJOWITRFKeqcSJcx7d/P7Ihi1u6PTLqnO4jGeEN8+WmYhyssuGC4zuq9mPLrQ78eci/GOHgrkLhOyt8gZO07Vch5qR7XgrSLUbld3G7OFhtg93lhtng/RzdLixs2TM/Vdm2rA636nbNrcbuUhXqgzq+VScbOcsmnmhr3jsFsQYUSwIXtyypscPDHaGIal216JDaAWmmNEiQNNfxXWYrwx9lf2BH5Q4U1xbHejjUSHZX6C/XOqdbNeuDmldgxndVQzu+xY4dXfiok5o2FnVSZdduvJTZ4P8OdngckGW+P4mIYi3cwpaAenHLUB3fNlXHd6SFBr0i5S3XR1xUOzvCwpZAQNQJizCaIi5ob9TV3/EdKeok1ImYxsSdrPjzMK5dsA73f7gJF734Ew4JJ5PW7fLHnOSmmlCU4y9qqrKc2fHdpqwPE3MCAIWZFvg2bVkG9gkLXIoLWw4UYnMAoKIFF7g8IHR7G/WSqqEUCPzM5f59PGHhW+PELzKLUQe9Tv0GdXnkBk/Nb2syzBn4/MLP8eOkH7H+ivVIMiTVf6cEwu5DbQjZ8S05AMnZ5rqFW1Nwxnfjo06MEaJOmtIdloi0vK6C+JkrQWLcCRFRHBCjTgI7vi2GyIsE1jW449vV6JOe4n5HTko9Hd96dnxrlZjZbgzb8e2/PNKxQF2I66obOIMRAD7deED5+fcDVbjghR+x40hnrriw5aAu2aoYlc6qSItaNgS0Iap8b2FhS8C7XRdmCAufCoXvv4Sok6ML01Wfuy2Z871fyPcuSLdAF3DSSbW4JddViCssfGucuGp4ypFOg/QkA0zCm/JwDQ+6o6WTdJpbcI15s9oQqvBtzvsaaUfdj+GLT8TstbNjMCrtK21yxrf/ddMH7Dwlt+WObw0XvrMt2fhx0o/4efLP2HDFBlgMlvrvRERELUpc3LIgXf25rOqcdXmCCnNiMTwpzGKTYuHbI4efqVefMiHjO7u+wreOi1tqlbiwX7iMb/Usg/Cvf6jmiqpGdHyv2lGm+n1veR0ufOFH/LK7XF34LlJ36IqRFlaHG+Ut2LFL8cPp9mDTfv/+fmDhG1DPBtgjLHy6o8QfddItLwVZyf6IlLIWzPkWO77bZwQ3Q4qfuW52fMcVFr41LtSOmCRJXOCSFCx8a4PTpf5yNeolQO/dQXB6HNBJ2vu4n/HjDJy++HQMe2sYFm9d3OrPb3O6gwrSVoe7QdOJ1Qcu6tcotY1nfPukm7VV+NZJOqSZ0mDUGzV3IpWIKFGpok4iZHy7PbLquxvwFsN9zGE6vgML4o2dySUWdXLqzfj2f8cEjpkSmxijEK7j21JPNr1PbYjrGhp1crDKpoqf8CmvdeLSOavw695K5TJxYUsAyEw2qvZ5xQInadeW4mrlBKBRL+HowrSg26jy34/E4NTYXTgofF53y0tFlnASsCWjTsSFLdtnBjeuiLGVTs6yiSvaq4SQilXYqUoRzvrmCjtKgYuzUdsi5s2y8J24HEKx1WTQIdlkgKTzfzlrrXgIeIujh2oPocJeAasj9OreLSkw5sSnIV0y7ghRJ2J3mJYXKQ3kkT2odlQrv2ut45uIiOKP2PGdlxbQ8R1QzA4sItoc0USdqBcKbOwJ7ZKa6KNOxIIo13vRFrGDP3BxdB/VoqwRtjdbyIzvhhUPV+4oVX7ukJmEpy/pr+zX1jndStROskmPPu3V+3WSJKFjlhhpwcJ3W7BBWNjy6ML0kAtSdhJicPYeWfhUjDmxGHUoTLcgK9n/WdiSHd9i1ElhZnDHt5HrKsQtFr41TtypSjb7P0zY8R29cls59tXsQ7WjWpOZY+z41gYx6sSk1yHVbICkFwrfGiwemvT+nRyb2xbhli0jcGFLn4bEnYg7RXpd+I5vaxuKOrE6rfDI/n+XNFNwBwgREVFzUmV8ByxuaQ5YsDJwocBoMr71Ogkmg/9xGrvApVjUqW9xSzFCjUUYbYk0Y9BHbKCI2PHdDItbrvrLH2VyYrccnN+/A+ZPG6LalwWAAZ0zQ45XLHDuZsd3m7BRmAUQuLCljyrq5MgJETHmpCgnBTqdFNDx3YJRJ5Vi1EmIjm+h8M2TjfGFhW+NE7sExY5vFr6j9/aWtzH2vbE4adFJuHvF3bEeTrNj4VsbxMK3US8h2aTXfOHbovfvcDjcLbeTE05gvrdPQxa4VC1uGZjxbWqbhW8x5gTQduHb7XGrivxERNT6HC6Panp8YNSJ2aCDmEwVsfBtCn943RyLVqsL3/V1fIsZ3yzCaIm64SV0x7dFVfiOkPEdMuqk8R3fJ3TzRpmc3CMXb193oqrucHKP3JD3V0ValNWFvA1pi3iysWtuSsjbqLeLI4VvoeO7e14qAARkfLdk1Im/0ap9iI5vVdQJ46XiiqH+m1AiEzu+xWy5vFQWvqMlFmG0WIBRFb5d3BYSlTMg6iTFrP2oE7HjOxYnbcLFRDWs4zv84kSqjm+HGx6PHLR6uBZV2f2fuSnGFBh02ttVOff9c7G3Zi9cHhdeG/saji84PtZDIiJqswJjR9KTjKrfJUlCklGvFKuDok6E3y0hpuv7JJsMysJ9jSl8uz0yyoVuxtx6Mr7VHd8swmiJ2MEfruM72qiTUNc1pOP7UJVNVYwc2i1H+blP+wwsueEkPPn1VpgNelx5cteQjyF29u5l1EmbYHfVvyiwOBOgvNaJGrtLlSXfLc9bMBejTlqq41uWZVXGd2E9i1tyQeH4or2jSVKpVWV8+z9QcsWOb2Z8RyQWYbTYNcuOb21wuNSL3KSY9ZB0/rPSWtx2xY7vWGy74TO+oy98O1UZjeoDFzGeCvAeaKeYtf+1rVrYUoPbLQC4PC64PN6DyljE9BARkZ/dpS5QmA3BhURV4dsRofAdpoADqIs7jcn4rqh1QExdrK/jWyyIOlmE0RRx4bzAxgmf1oo6EWNOOmQmqfK6AW/xcvbF/SM+RqjOXtI2h0sd0xlKXqoZJoNOue2eslrsOOyPOvEXvoWO7xYqfJfXOlXfFSEXt9Sz4zteaf8Iuo2zqjK+hagTdnxHTSzCZJgzYjiSlsHCtzYEZnwnG3WQoO3Cd6w7vpsj49sdZcc34I078RW+nW4Plv5xCD3yU9AjX1szUXKTcjGx90RUOao0ud0CgMUQ25geIiLyswfEQIQqwliM4YuIdVEsbgmoC5GN6fgWT7j71nOJRIxQc7MIoylix7dRF03Hd/jtLdR1DWniCIw5kaSGz07snOMvfO+rqIPbI6tmLJD2iEXkwHUUfHQ678KnvhkFu8tq8ZfQ8d0190jUiXASsLy2ZaJOxG7vJKMeGQEzgwB1x7ebJxvjCgvfGldrD93xLWZthZuuT15a7z5MN6ejf15/mPVmpBhD52tR/BPPmhv1OpjNDkB4a2sx6kQsHsYipid8xnf0XTJix07gDr7ZoINOAnw3sR45MLE53Zjyymqs+qsMJoMOy/82IuR0u0TVPbM77jvxvlgPo0XFemFWIqKWsu1QDZJMenQIkX8ar8Qp99487+CCm0UozIiFclmWYRP2wSwRCt/RFiLDEfc7slNM9RYYxUWzncz41pRIUXk+4rZoi5Tx3cSOb7HwfWLXnAi3DE/sEne6ZRyssoXMUCbtED9HzREiojplJSuF7593lau211BRJ+VhZuQ2lVj4bp9pCfn5K74XGS8VX1j41jjxgyFJWCgtV+j4LrM6eFY1Aq0XvjukdsCCsxbEehjURKrFLQ0SjEabUPiWkGpMjcm4WpJJF9uObzEmSpKgTD9uWMZ3+I4dSZKQYjYoBx9Wuwsutwc3L/xFmVbqcHmwYU+lpgrfbUGsF2YlImoJn/92ANe/8TMkCfjfTafguI6JMVNS1XkYIuYEUMeUiB3fTrcMt1BUjr7ju+FRJ+LCljn15HsDAYtbutl9qCXiiQxjmJiIaLY3j0cOGYMS7ULth6pt2C7ke5/YrXGF72STAbmpJpQcObmzp6yWhW+NCzzhGI6Y/75862Hl59xUM9It3q7rbFXHd8vsVx+ojLywJaB+L/JkY3wJv4WRJohfcuE6vj0yUGpl13c4qoxvDXbNkjY43OqOb73B/+VsRDJ0kvY+7lUd3zGJOvHvWImdKg2ZHuquJ6MxRThhWW1z4R/vbcTXfxxU3UbccaTEoOr4drHjm4i04fPfigF4TwR/+XtxjEcTPVUBJkzhOly3dmDRMGLhW4gmqY2QuRxOmXC8Vl++N6CeSeZmEUZTnKqZnqGb18KdrBEF5tv7RNvxvVrI926fYVEVKRuqo5jzXV4X4ZakBdGccATU+e+bi6uVn33d3gCQKWR8V9tcqoaw5rK/UlzYMjjfGwhY3JInG+OK9iohpGIVdszEna0Us0F1Fri1c75lWYYsJ8YOmNjxnWbSVpYuaYe4gIZRr0O2JQf2w2fAUXoKCvXDYziylhPzjG/hANSXMQc0rONbfN0MIWbdpAgLXD72+Wa89/PeoNsEZpNS/GPHNxFpUY0QsdiQqIRYU0+5D314HC7j2x5QUAyXVQsAyU2MOikRTrjnRFH4NnKhNc1yRVgc3ScpIOrEE+LkR7hO8Gp7dPuy6nzvnEble/t0yuYCl22JOuM7QtSJsF2IuuX6C9+BJwIrWiDn+0BF/R3f4slGF082xhVGnWhcrT10xzfg7freVer9UmnNwvf+ijpc8/pauNwyXrp8IIpy4zdX2ulxos7lP7unxagT0obAxS3zk/PgKDkDAFCYUxCrYbWoDqkdMLLTSJgNZvTI7NGqzy3Lsqrju1tuCr47Mv0u2umhQMCBS4ipqinCCcsNeypCPoZNYx3fS3cvRUltCdLN6Tg251h0Su8U6yE1O2Z8E5EWiUW0hsx+irVoOg/VecmhO74lKXLnoth0ZLU3puNbzPg2R7ilFxda0y51w0v9Hd+Ad38x2aQu/4RbZDXaE1crd/g7vk/slh3VfcLpJMyeZOFb+8SThtF2fIvEju8kox4mg05Z86q81qFKOGgOqozvMBGT4slGdnzHFxa+NU78MksO+PLLTfUXvkvCLNLWEhav3YtN+71d1G+u2oV/nn1Mqz13Q4kxJ4B2C9/rD61HnasODrcDg9sNRrIx9BcMxS9VxrdeQqo4nbYROZKJYHC7wRjcbnBMnruqzqU6ky/ufDWs8B191IlPn/bpyEw24odt3i4bWyOmS8ezd7a8gx/3/wgA+OcJ/8Ql6ZfEeETNy+2R4Xb7X1d2fBORVojHHTWJ1PGtypqtP+okXOE7yaiP2PEqrrdU52z5jG+9sF/BvFltqa9xAgiO3alzBBe+w0WgVNtckGU54vZcUmPHtkM1yu+Nzff2UXV8l7PwrXViTKcpyoxvUTdhtq0kSchONqG4yttM0hILXIoZ34WZYaJO9Oz4jleMOtE4seAV+EWXJyxw2Zod3yXCgnCHWjlipaHEmBO9pEeKMX6705vimi+vwbVfXYubv7kZ+2r2xXo41AgOlzrjW4w2stoT5+AzUZQIMScGnaTqRqhqwMG+2A1QX9QJAHTNTcFrVw5RLVCstagT1boKGjvZ6HB5cN5z3+OzjSXKZez4JiKtEI87EirqRDXlvv4iolgstAnfwZYI0/WBwMUGG37SWoxYiyrqRMfuQ62qLyoPCN4eQxW5xe1QrHG7wyx6KVoldHsXZljQOUwkRbTEfek9Zcz41jK3R1Ztw5E6vjOSjEgzBzcCdc1T12XEnO+GLnDp8cjYuLcSh6pC75O7PbJSVAeAwnAd3zoxXoqfufGEHd8aJ2Z8BxZQxOkfrVn4Fr9E470bJNuSjelDp6PKXgWH29Gk3LJ4ZjaYleILuw8Tk2rKo0GHVOH9bm3EwRVFJsacZKeYkCHsbDUk49ulOnAJ3ukTM+vapVuw4Cpv0dsidKRpLepEPOGotQWFV+4oxab9VTAX+LcXfuYSkVaI8R01CXTSPbqMb//ldQ6P8LO64zuSpha+1VEn9Re+2X2oXc6ARe1D0eskmA065cROqFx58WRVTopZ1aBWbXMFNc6JVPneXbObfJwsdvYerLbB7nKHnYFBic0RsKhqpNdZkiR0zE7GHwf8xwcGnRR0okX8TCxvYMb3S9/twL8/3wyLUYcvbxuOzjnqxz5UbVMtENw+TMc3FxSOXyx8a5yY8R3U8S0UvsUvuZYmfunGezdIhjkDF/W6KNbDaHFmnX9bYPdhYhJ3gM16HTZVfgdT7g+Q3Umo8vQGoM0FLmOlVPjMzEk1IyPJX8isqnPWOz3URzwQDZXROPnELvhuawnSLAb897LjlRXvxY40zXV8O7Tb8b3qL+9Boru2CxySC5MGd8OggkExHhURUfMQi2gJVfiOIurEYgp9wlmMPbFEWNgSUB+LNWZxS/GkezRRJ2InsIuLW2qKK2BR+3CSTHp/4TtEB7e4HWYmG1FV51QiKKptThSkhy7wAf59GqDpMSeAd8FAnQR4ZECWgX3ldeiWl1r/HSnh2AOadiItCgx489/Fwnfn7OSg7T4r2f+ZWNaAqBO3R8a87/8C4J3B8+H6ffi/03uqbrNfWNgyM9kY9oSQeLKRCwrHFxa+NUyWZdQ6I2d8+7Rmx7dqGmQC7RRrmdkgxCa44zt+hkIL7PzYUPYdzHnLAAB1ZdoqjPpYnVas3L8SNrcNbtmN87qf12rPXSLsUOWmmlSFb5dHRq3DrVqYMhwxo1EfouO7b8dMrLz39KDLVYtsaajjW5ZlVDuqld81V/g+Mi3YVd0Xruq+uKDLyejbMTO2gyIiaiZWVXOLtha3VGV8O8IVvhvS8d2wYyCPR1ZN349qcUuhMMTuQ20R9/tDrRHjk2TUowLe92Koky11AbWCNIsBpUf2cSNF95XU2LH1YPPlewPe45fCjCTsO7KI4B4WvjXLHtTxXU/hO6C7u1tecPxsVor/WKyiAVEn63aVq5pAV+8sC7rNgUp/9E64mBMgYHFLLigcV1j41jCb0wNZ2MeJ1PF9uDU7vsWoE3vi7BRrmVkvFL5dLHwnInGBEKNBQp3bvzPqcJij7kBOJCV1Jbht2W0AAINkaNXCt6rjO8WEdItRdX2VzRlV4VsVURPhwCWQuIOopY5vq9MKt+z/jtBS1Emdw40NeytUl+0rr2Phm4g0wen2qKavx/usTpE64ztMx3eYjO/AxS0jSWpC1ElFnRNi7bqhHd/Mm9WW+mYM+qi2uXoyvi1GdeE70nt49V/+4mC7dAu65DQt39unU7ZQ+C7jApdaFXjsYoowawHwdnyLuuaGKHyrOr6jrzF9uvGA6vd1u8rhdHtURewDQsd3hzAxJ4A66oSzbOILF7fUMGtAJ0HcZHwn6IrvWqYqfHtY+E5EgYtbioVvtysp6My6FojbrUt2weVpvc8TcbpxbqoZJoNOdcAbbc632IEVbnGiUNQd39p5bcWYEwBIM6XFaCTN75fd5UHTHn0Hd0REiS6wkGt3eYJyXOOV3SlGnTRscUtV4dvUchnfZcLClka9FHKxt0CqqBN2fGuKenH0CFEnYWYq+IjH5d6Ob38jR6RZG6vEfO9uTc/39lEtcFnOwrdWqeOldPVuP8Ed38EzAcTCd7Qd3x6PjM9/K1ZdVutw47d9larLxP31yB3f/MyNVyx8a1itsMCMJEG1GBrgnZ7vU1nnDMpaainqjm8XZDl+PxQ+2v4RHvrpITy17in8uO/HWA+nxbDjO/GJnTwmvQ5Wpz8uQvYkwarBWCFxuwVad5HAkoCMbwBIT/IfhFZGuaiK+Lrp6+l2EIkH5rYQHTyJSix8JxmSYNQZI9w6saz8K3jqJAvf1BbU1tbigw8+wFVXXYW+ffsiPT0dKSkp6NevHx566CHU1NTU/yAU90JFdyRKzrfYHBAup1tVQHSKUSfifVuu8F0SsKh2NIVGg2raffweb1HDiSfS64s68QmV8V0bVPj278tG6vheucO/T9McMSc+YoGTHd/aJX7mmuqJOQFCFL5DdXwLUSdlURa+f9lTgeKq4PXNVgfss6uiTiJ0fIsnoVycZRNXWPjWsFqn/8sqyaiHLqCbUMz4BtQdjC06LuEL1umW47oTdU3xGizeuhjzfpuHNQfXxHo4LUZV+GbGd0JyutSL3FQ7/QVE2Z3U4AOsRBBY+G7NhVlDLTClWuAyytksqsWJGtDxLU7FjufP0Iaqsmt4YUuhO0oylsKYuRJryz/ER9s/iuGoiFrewoULMX78eLzyyivweDwYO3Yshg0bhr/++gsPPPAABg8ejEOHDsV6mNREVnvwfkai5HyrM77rX9yyTih2NyTjO8koLm7ZsJMCFcIJdbGzMRL14pba2Veg4IaXcOqL1xG3wySjIaDwHfr9W1pjx5aD/gab5i18+7tp95SxOUCrovnMFXXKSlYK5HqdhB759XV8R/fd81lAzIlPcOHbf4zZPkLHNxe3jF8sfGuYuAMaauVZi1GPdOHLrbXiTgIX1ojnDECx+1BrRRiRWEBsza5Zaj6qRW50QI3D30Enu5MSpuuqIUx69YFfq3Z8C1OOfbNnxJzvRkWdNKDj29IGOr61lO9tc7rxy54K5Xe9ZR8shR9gp7wIb/zxRuwGRtQKTCYTbrjhBmzduhW//fYb3nnnHXz++efYsmULBgwYgM2bN+O2226L9TCpiUJ1fMfzPr4ocNp9KKrvXeFYRjyuSQrTLe4jxk7WOt0NmvVaJRQh05Oimw3Fjm/tckW5/xhupoJPcMe3GHUS+v37xwF/0Ts31YyiZsr3Bhh10lZE85krSjLpcffYo9AhMwl3jOqlzLYVqTO+6z8mlGUZnwkxJ6OPKVB+Xr2zTHWMtl+Yodk+M0LhW+j45oLC8YWFbw0Td0AD8719xJzvklZa4DJwmlU8F+TaTOHb4N8OWrNrlpqPuLilrLdBhv/L1tvxHb/vs8Yy6AwwSP6TdzZXjDq+U7zvH1XHd5SFb6dHPGHBjm+tfuZu2FOhyrqVZf92y3gp0rorrrgC//3vf9GzZ0/V5YWFhXj++ecBAEuWLIHDwRPviSxUx3c87+OLxIXWwnUfJpmiyPhuwOKWstyw729xvyJwQe1w2PGtXeqGl+gWtwxsPgPUC15GG3VyqNq/v905O6nZ8r0BdaRFRa0zYWaNUMOoFxSOriR55Sld8cPdI3HTaT1CXp+doo7xre8z79e9lUrkoCQB9551tLI4ZbXNhS3F1UfG6lZFTRVmRIg6UWV88zM3ntS/KgYlrPo6vgHvWdrth60AWqfjW5bl4MJ3HHeDqKbda6j7MBA7vhOfuAPsQUCHhMeCmhAHpFpgNpjhOhLr1FoxPQ6XR9XR7Ys6ETuwGtfx3YDFLYXuCLuGOr7P7nY2hhYORZWjCjpJO+fmxSmT3fJSsMvq31ZsjJeiNqxfv34AALvdjtLSUhQWFsZ4RNRYid3xXX8RJnzGd/RRJ4HHY1a7q977+IgRauKaIpEYuNCaZqmi8iJ0fKty5UPsL4qzF5JMephl/+2rwhSdDwk1A7GJrjnkpZph1EtKTMTBKpuqC520IZqTjQ2VmazeTirrnCE7w30+/c0fczK4KBtFuSk4tn06Nuz1Lmy5+q9SHNM+HcVCzIkkAe0iFL6NQsc3o07iCwvfGlYnZHwnh1llPFf4siqNYkpIU9mcHgTO6qu2x++ZXK12Hwa69KhLcXrn02HRW9ApvVOsh0ONIH65umFVfpbdFgA61CZI11VDmfVmWJ3ev7e1Ct/lAQumhOz4jrJDRbU4ETu+YdabUZhaiEJoq/i1Sih8n9u3Pf67cpPye52Ts2yo7dqxYwcAwGg0Ijs7O8ajoaawhugmrYnjfXxRVFEnYRYJrGtQxrf6+lqHG9GmI4udr9F3fIsLrbEIoyViN2mkxgnVdhuq4zsg6kQndG+H7fiu8u9v56eFLwI2hk4nwWLUw+k+0tSioX1c8mto1Ek0Us0G1UmT8lpH2MK3LMv4bKM/5uSsY9sBAIZ0zVYK36v+KsPUk7tif4V/Pz0/zRzxRJPqZKNGZ9l4PDJeWL4dZoMOZoMOFxzfESnm+C8rx/8IqdHUHd9hpu2JxZNW6BoMtZp0PHeDtJXCd5/cPuiDPrEeBjWB2PHtEjq+Zbc3hyxRphs3VCwWZhVjoVJMemUaqbhmQrQd3y7VVFVmfGuR0+3Bul3lyu8ndc/B2xtSldNTNkadUBv29NNPAwDGjh0Ls7l5OwepdYU6wR7P+/gib3FNRh9pFzpW2THszUmwe9RjlyEjvbf3O1sCMGTBPwEARc6jMUTyzlzoVmsFdh7GkgM/4LFt74R8rozebiWM7oJPdJAg4a2B96BbcjvV7S5e9y/srD2o/O50e5De23vP/5VL+HSBfz/ghKzeePbYG1X3/6n8D9y38QWkdeqI6n2T4fIELwZHiUmWZaFxwo3ZP1yPtVWbIEPGEFMunss+UbntmfvL4Erbi0/a78JHZcCnr6uL5G6PjOze3p9f3iEBEnBpeid0qU1D+4MW4Mv2AIDby1fjB/uhoPt8VgF8EfCYnfQpeC/vNNVlu101mFCyrJ6/zPs4hi4ejDjcDX+Wnc+uWY2yuzwwmPchp/0C7DZXY8jr4U/e3Jl7AiZmHKO6bFbJSrxT+UfQbVN7+I+rJn2mgyQBEiSs6j5Vdbv9lXWozluIrDzv7//drsN/t3sjqLKOfM6vdAJDXtfBIwNDCtqhX0kR2huTgB9+BwC8WfEbni5do3pcGUB+dzOqii+Ay35ctP8cCcXu8uCJL7Yov485th0L3xRbqozvMFEn4hm21jijGmoaZLxGnbg8LqWTFNB21AklPjE/2A3/Ahyyx1v4DrWSuxbEovCtyvcWOgnSVRnf0X2uNTbqxFzPYkUUP37dW6mc9DUZdOjXKRMF6anYceR6h4fxUtQ2ffrpp5g3bx6MRiMefvjhqO7Tp0/ok/Tbt29H9+7dm3N41EChOr4TpvDt9OB549M4W78aWAXc06Uj7KFORh+5SAZQd6Qw3se6Ag+Y/+e94hfvf660VNTlhpnBIDyszbfr9v61gFP9b2XrUIg6k9DZLcFXF4QTgJAUAMeeVcDaj1X3r0xJhj0/F0jdgcKM5XC5J4T78ynBiLE1ndJ+wHeVG5Tf7RU7gc3+YtwQAC6LBR/o8r0XBNaRhe3KZ6x+NU412AArgB+PPG5BHuqSk0LfJ+AxbXWlwI/Pqi6TDQbUdWofxV8HQAeM0a/G4+afsdsxNrr7UEJxuDw4Kudt7LJUAACcEc5vuDZ/BFQtUl3mzM5CXUZa8I2Fz1cXPIAMSLIMfHW/6maFAFxdO/tvKwsfqOJjHLl8kP53/N34o/c98dWR69LTUJeTFTwGkwtd8t7Btt3Hhv+jEpgjoGZo1jdPVE1L006AJgVRdXyHWdxSzFRqjcJ3qClW8dqJWu2oVv2eZgrx4UoUJ8SO777Zp+DnyT9jqOEZ1O25AkD8vs+aKiaFb6v/eXz53kBzLG7ZgI5vY+uetKTGW/VXqfLzgE6ZsBj1aJfm/z5xyXbIgRlgRBr3xx9/YPLkyZBlGU888YSS9U2JK5E7vvWOKm/RW0OezcpQfu5q3MaMbw0RY2s6mLbHcCQtK1+qgKFsW6yHQS3A7vLAZCyr/4YJymWwwe2RNbl/b3er63mmZoqqaWns+NawOmf9USemVu74DhV1Eq8FOTHmRIKEVCOnCFL8cgiFb5NeB6PeiCxzDmSXN/Yk1GwLLXjwpAfh9DhhMVjQMbVjqzynquM7JUzHd5QZ3+LBS8MWt1R3fMuyDEmK/v7x6povr8Guql1IN6XjzkF3Ymj7obEeUpOt2uHfsT+hmzfNtUNGGnDYfxunxwmT3hR4VyJN2rt3L8aOHYvy8nLccccduPXWW6O+76ZNm0JeHq4TnFpPImd8m5xVqt/fqgJkqI+LPJBRIizql5tqhk6S4KwxYJ/s/WzPSjYi2WjAGAkYUBH6uKrMaleK0BlJRpgNenRIagckqW/3rBVw1HqE+zmUXGff/XySZTOQrt4H6utwYveR3RJJ59Rs3mxbJDZN6HT+WZ7DnMC97UcBnZKVy7YerMbvf5Vg6i4n8tNMOLGbOlX+m82HUHOkWe6Ebtkw6XX4taYSO2Vvfu/Ewd61n/7prkOt7D2W+GxjMZxHtuFTe+YGLSpolHRAYYrqskLZgyVuK0KSZUB2Ax4PILvh3PIV2h9pZnFzHRRNsrvccOj93xl3uVJwUnLo47i89kagg7pseZXsxAQ5+Nj2jwPVKDnSoFSUk4JOWUc+WI8eoNymyu7Cij8P4/bd3vsPKcpWpSBsP2zF/krv+yovzQyXW4a9Og+fuvU4ujAdXXO876/zZBdOkv3fcVtsJbhH5212cUre94fLI8PYgOO7RBDY8c3CN8Wc1d7QqJOWny4fKm4hXrtBquz+neA0Uxp0UmK8qRvj+33f4+0tb8PusuPonKNx+8DbYz0kaiCnK3h1dzFvS5wBoiV9clu/2FEiFL5zw3R8R53xLXRgWVzVwM7gvLpQ0qx2DJI241e5OxyyUTM7VsXWYhywHsAB6wE4PYlRMInE5fZg7U5/4fvErt6p7x0y01WFb5vbxsI3tQklJSUYNWoUdu/ejWnTpmHWrFmxHhI1k0SKMwxkcPlneboMKehxa/AJFo9Hxph7P1V+X3HjaeiUnYyxT32HzdXe+7908UCM6dMOGQAygh7B6/znvlcWT3vm3AE4r1/o+IcuAb+f/Ng32FflLcYsvOQEnNQjN+LflPX2OYBtl/cXycWObw0RmyYkvb8w3D6lPTqe94Lqtr/9vBczt24AnMDAvCxcfv5Jqusv37QUxbXexzjlpBORk2bGzA3LAQAGj4SLzzoTkiShw5Hb1zncmP3T58r9J599OgrS61/g0gSgZ5R/3+EHuyFT9m7rHha+63Wo2obNB6pxUvccGCIsvBhP7E4PhtW4MchRiyqdDoNOuBU9B14d9f3zj/wX6JUlG7Fo9W4AwHUDu2HkWUcH3WbuV1vxzO9/Ak6gX6dMXHn5yarrt/56AA8t/BkAUGiwIN1ixBab9zP+hWHHo+txhQCArCP/+Tj/eA9YPcP785FDMpdbRj1rHiccsfBt0EnQ6xLj+JOFbw1Tr9IcpvDdytPlQ0WdVEfZGdna7G470kxpqHHUaHphS8BbbFq2ZxkA7+I9lHjEqBOjwVf49n/TWuN0ZkUiKq1Rd3z5pFsaHnXi68Aqkg6g79tXAu7odvBzALxrBg7I2RhpnwWb0x1xlfFEobUFhTftr1K6II16CQM6e3eRO2epSyION3O+Sfuqq6tx5plnYvPmzbjgggswZ84cTcxUIa9QJ9jjtbklkNXwOwZ16YhUj4zebgkvhbiNTifBbNApx0u+9TXEdTaSoqhwJAmzcOsaMBtPnEkmzjALx6QX88HdLHxriNi9L+v8+6SpxuSg2yartrfg96h6hrgBacJC7S6PDJvTo9pmDwuzHiQJyElp/pP2Tsmk5IbLLHxHVGVz4oz/LEeVzYXJJ3bGzHGJsaCi3eXB1Eor2klHFn9vpkam7BT/516ZNfS+9WcbDyg/n3lsu6DrB3f1l7MPVNpwSNjmCzOTgm7vYzb50wEcR/ZtnB4PkqCtyrdqlnmCdHsDLHxrmqrjO4qM78BpCy0hkaJOBrUbhB8n/QiP7EGdq67+OySwWOQkU/MSv4R0Ou/Pqo5vjUadxEJJTZiMb2Gqp9XhhtPtqbcY7evaGaf/Abooi96iQqkMp+h+g911DhJ9FQJZllUzbbSwoLCY7923Y6Zy8NglW/1q1Trqgqa5E2mJ3W7H+eefj7Vr12LMmDFYtGgR9AmyIBJFJ1THd3Wc7uMHkuQq2HU62HVAZeBKf4Ikk14pfPuOacRjm6Qw0ZIisRkp2oXHPR5ZdbwknmgPR9y3lyW3qkGCEpu4z+/R+4t7odajstSzGLpYDE8y6YO2rWqbU7VdH6r276vmpJhapMN4cboRVl0WHJKEo+t2YUizP4N2rPmrDFVHTjAu23K4nlvHD7vLjXTU+i+whJsj0zBZyf7jsvLa4CakPw9W489DNcrvoQrf+WkWdMtNwY4SbzSPWzhp2D4z/OwGk9Ef7+PQSQBk1ewMrRBrhix8U1yIZkestTO+Q+3gxfs0SJ2kQ4oxpf4bJjAWvhOfeEDz/O9347affoVRSoEhfQxcVf01G3USC6VCB0GOquNb/ZVabXMhu55OGF8HVmfpkP9CcwZgiVz0lWsOQTryXk1HbciDmURT56qDS8jr00LHtyrf+0jMCQB0zEqBdfvtkGUDIBuh82TGYHRErcPtdmPSpEn49ttvMWzYMCxZsgQmE6N9tCZUxneidHxL8BdCUqTwReUkox4V8BZTfAVDm9O//yWuvxH2MYRjsmgL39V2F8Q10tKT6j+ENwn79h7JrSreUGITi2kunf89lhZiv0mchRC4vbncHlURPcmkh9mgg1EvwXnkOapsLuQLDyt2v+al1R9x0hjLUyT8eaSIf7X9YIs8h1ZUCMXdRFrs3ul0IFkSag71HPdES134Du74/mJTsfJzn/bp6JITusZzQrdspfDtY9RLyBXWdgp67qQ83FZWDrMMmGQZ98ClrMugJarCdwLNNmbhW8ManPHdCoWTUB3fidINomUWg3/Hxe5i4TsROYWd4FpXDRweBxxwAEc6l7QadfLKb69g6a6lsLvtGNdjHCYfM7nFn1Nc3DJXKGynmg3QSYDv2LKyzhlF4du789BJLHyPmQkcf0XE+0lvXgT8+SUAIEWqUx14Jyox5gQAMkzN0/0RK26PjNVCvvcJwoJSySYDMo2dlGmYxZVOdMwKeggiTXjuuefw/vvvAwByc3Nx4403hrzdrFmzkJsbObeY4ldtiP2MRFncEpK/wJGmC/+9LXbPhu74rr8IkFJP9EQogfFpqeb6D+HFphaPzqPJzsO2SiymOcTCtzkz6LbiDIPA4/DagN+TjXpIkoQ0i1HZPwmMJD2sKnyHLwI2hVH2dssCgMOt7VnXTSUWd1ujltNcdHb1Pn+zdXwLUSehCt+r/vLvl486piDs4wzpmo1Fq/eoLmuXYYEuQp51alI2rqr0rxfxANya/NxlxzfFHXXGd7ioE//G6miFKXChsuziveO7LRAXVWPHd2JyCl9CtcIiTbLbm58QqhNLC/bX7MevJb8C8GbVtzRZlgOiTvw7/ZIkIT3JqHRf1JfzLcuycsJC1fGdVVT/QIQcuVTUtcrixC2t0l6p/JxkSIJRX/9U7ni2ubhK6XbU6yQM7KKubLfPtCgHlvsq6jCo1UdI1DrKy8uVn30F8FBmzJjBwncCC7WfkQj7+G6PDOj8xbVUffguVnVshAduj6wqAliiyPhuTNSJmO+dajZEFS+h7vj2aLLzsK0Sm11sOg98TS6pSdlBtxVPxgQWvgNPvPhmI6RZDELhW/0eFqNO8luq8A09AO/26nIx4zuSSuFYw5ZIHd+OfXgtPQ1pHg8yPDJOF45rmkLV8R2Q8e32yPhld4Xy+5Cuwe8X/3U5QZe1z6gnk9Cgfj+Y4dRk4dueoIXvxBkpNZiY6ZsSpjNA3fEdm6iT6jjtBqmwVaDKUQWPnDhfIo3FqJPEJ564soYqfGu041vcdm2NyMhuKKvDrfrCFzO+ASBDWHCqsp7Ct68z3AI7CqQK/xXRFL7N/hzHNA12fIfKqUw0YszJsR0ygjr0OggL5OyrYEcTadeMGTMgy3K9/xUVFcV6qNQEITO+bS7Icnwf+NtdbkBYIDDNELxAoE+S0X/cZHO6g046N3Rxy1D/ZqFU1Yn53tH1rZmF2ZweyQOP7M0Kp8QnFtNOtzoxvroGo6y1KEzrGHRb8WSMw+VRRd6Ix+U6yV8XEBe4DCp8V7V8x7dB9r/PnB4el0YidjU7XJ64/7z1qXPuwaycLDyQl4OHc7O9K6U2A7HwXVnnVG3vm4urlLUS9DoJ/Ttlhn2cDplJqv10AGgfYWFLAIBBfdLUBBecGjzhaGfUCcWbwMUqQhEXt2yNjsGQi1vGaTfIQysfwle7voJO0uGuQXfh8mMub7bHdro90EtSxOkyrYmF78Tnz/j2oNbpz6r0Fb6jPbhKNOK263CHXr27OZXWqFezF3ewAPWCU1W2yIVv32vWURIWo9EZgPQO9Q9EKHynwKaJjm+x8K2JfG9hYcsTQ3SViDvQ+1n4JqIEF2otEZdHht3liaoTOlbsTg/ceqHwHeHEq3g8Ved0B3XMRtXxHSFzORxxfyI9KbrZUCaDBZIswyLLMB4pJDo9Hph18ftaUHTEYtpNFZVIxZF9iOyjgm6bHBB3Wud0KyfixWODZJMB0pHiY5rZv40FRZ0I+8Et1fFtgH8bdXpaft8+kVUELOAY75+3Pm53OXBkM0uRm68ekiVETHpk7+xb32U/7/LPPuvTPj3ovRHohK7ZWPLLPuX3wox6Mu31RnhnX3iL7WbJocm1FcRmO3MCdXyz8K1h4g5oVBnfrTA9JlSWXY3d2w0iNdOZvuZSdSR7yiN7VBnYTbW3vBaXvLwSlbVOvHbVEBzfOfbBrix8Jza3R1a6h6FzwAPhvezxFtdq2PHdLEqEfO/sZBP0ASevGtLx7VvYspNY+M7oBERzUCoUvlOlulaZsdPSquzaKXzLsow1O/072Cd0Cy58r7c/g5TumwHJiU3lUwEc13oDJCJqZuFOsFfZnHFdiLG7PHDrhMKyOXzhW1y8ss7hDmroiebvbNTiljax4zu6wvfY3AEYu+wZSAB+9XTFeYAmizBtkS/eUAePv+gNhMxJDpyFUOfwF75tztBNctF2fOe30OKWesk/FhcL3xEFFb6diVH49rj98YapcvONN91igF4nKZ915bUOpfC9Vih8R1N/GRJY+K6v41uS8Hx2Nmrghl2SYDhUJjSmaUeiZnwnzkipQdweWbUzFi7jW9xYHa1Q+A61g+d0y3G5CnFLdR9+8usB7C2vQ7Xdhdlfbm22x22KwMJ3okyTIi/xvSvpa1XXyW7vTqkvi1JrxJNSzdnxve1QNXYcrgm6vFSV7x28AFZDCt/uxuZ7A+rCt0YyvrXU8V1R61TyMQGgX8fMoNs4UQGdqQw6YzVKaquCriciShQejxy2iBuvMzt97C43nMICgRmWzLC3tQjHUzaXW1U4NBl0QSfDQ1EvNhht1InY8R1d35pkTIJvNCZ4n8epwbzZtsjXOJEK9T5/qMJ3YEemuM2GWw8szRJdx3eLLW4p9Ga6ZBa+I6moU//7JMrxgEf2x3KmSM23po8kSchKDr3A5VqhIWVQUf2Fb3FRegDokFn/iZ630pLwRkY6FqenQW+o0mTGNwvfFFcCOxDCZ3yLUSet0PEdZrXheOxGbakijHjm/KcdpariSKyIhW8AcPDsekIRpxxJOn/Xc7IhBRCmC1o1GHciLszaXB3f324+hFFPfoczZi/H8q2HVdeVCu/XnJTgHX7xgFTM5AzFN1W1UYXvgMUttZDxXZRehLO6noVTOpyCPrl9Yj2cJtlf6e/Ashh1yE4JPkmSavJ3jpTX1fKEIxElrMD9e3ESZ2DHaLyxuzyw6/3foemW8Aueid2zNodb9d1ribIAkGJuYtRJlB3fEPaPzPDuu7g02H3YFvm6SNOlgJi0ELMVdDpJtd2K25z4s3gbseO7Snj/uj2yqgGkpaJO9KrCd3yuBRYvyq3qf59EOR7wyP7mouRmLHwDQKZqgUvvv09xpU21ns6gLuE/532KcpLRKdu7r66TgJ759a8/ZBJiW4ySXTlJpSUO4eQKM74p5gKnG4br+DYbxaiTVsj4DrODV21zITe1Zb48G0s17d7cfIVvsUjp9sj46vdiTBzcudkevzEsBgsKUwph1pth1pvh8riCiuGxsnFvJWZ+8juOLkzHA+ceE3eROPFAnEYl6f1f6ummdBwUbldrd0d/wJQgLPrm7/j++o+DkGVvQtvz32zD8F55ynX1dXynNyTqxO2LOmlax3eKZFN18CSq4Z2GY3in4bEeRrM4UOE/CdM+Iynk51aa2V/4trttqLK5VDMGiIgSReCJ9dxUMw5Xe78v47G5RWR3elCnk4Ej/dGpSdEVvuuc6qiTcOspRXyMaAvf4uKW0X5PCDPizJJ3f0SLM//aIt/+Y7LhIF5PT0Oax4McnRmnhonKSzLplW1V3GbDrQeWHibqpLTGDnETarGOb6EQ6pTj+/Mj1gKPNRKl49slRPSk6Js3MidbKHyXHen4XifEnHTITEK7+vK64e0ef/Li/njpux04rXc+OmWHX/jYxwz//r5BZ9fkyUaxlpVIHd8sfGtUrZDvLa7SHMgcEHXS0lnb4fL/4m0apNvjRrXTPwWnOTu+AyNlPt0Y+8J3mikNX074MqZjCGf2V1uw6q8yrPqrDKP7FOCk7rmxHlLcCVf4zjCnw6TXKV9Q8X7w2Rhix3dz5dOLBwKrd5Zhx+EadMvzdliLGd+hTtY1ZHFL15GOb3Xhu0t0gwyKOtHejlUiOyB0fBeGmRopFr4hubCvvI6FbyJKSIHHHTkpJqXwHf8d326Mrbah1uBGtU6H/LROYW9rERqGAhe3DMxSDkeMOol2Jp664zvKw3eDBW4ADkmCQzoSdcLCtyb49h9N5mI8keONbOjslnFqmNuHO9nS0KiTQ9X+/ewUkz7sjPKmMuj8z+9mx3dYTrcn6NguUY4H3JK/QSRFX39BuSEyhaiTiiOF77W7ypTLBnaJfn21QUXZGFRUf3e4j1lY3FIvOTTa8S0WvuM/T96HhW+NEnekUoRVmgOJZ2k8sjczzKhvucJ3XZjpN9X2+PpSq3Gqs32btfAdcObvx+0lqKx1IiOZBY9Q9pbXhfyZ/Jyu/2fvvcMdOcuz8XuaRtKRdPo526u9LutesE0xGDABjIEvhSRUB0iAhCRAEviSL0B+IY18hBQgpEAI4UtC6MWm2LjiiuvaXtft5ezu6Ud9+u8PHWmedzQjzUgjHUk793XttTo6I2mO9Oqd573f+7lv+6LKKL7lDJKyALVYGXNeG0/9DKr4VvSQiG+HevrrDx/DR159NgBgnii+J5p4fGd9Kb6ttj2+01xpIBTfg4SZFbugXz/sHoZDu2o4XsPMcgnnbuhvb/MIESKcnqDrjmRMZDaBnR7BvQZFM/D7S4uQuNXr6NiZnscyVieayVx7/QbKUWWtf8W3/R6mfXbuHSjP4w3bK8KamGkBz9rZIhH6G1Wv9phgi7RS8B5/zJgjvvJ0XZCQbFrIK9xyjhDfU5nOBFsCgMBV6uuYaYGz+oPIXQs4gy0B9M16QOPIJoqYanBkcFB7wcVVqxOq+Pbj790qJI4lvgc93NJLXNuL6J8zjRAIzA6u7H0hlB27NJ3eJSz1ieKb2pxw4JCONfd08gun4lszLPzk6VMeR0egY7kwgIrlMEA3U3h9Hd527tvwhp1vwAs3vBBDRFkUKb79wUl8f/PhY7VWtQWi+B53U3wHIb5NC+PIYogUfy1ZnUSK757DCeIjuMGjnZKxk+J0xnswQoQIEfoJTuUoJc56vfbQlIJNegNAA3vDeMzb6sQv8U2VtS15fPsMt4yRLBCVr5Ax1WyRCP2NKpkm8YXafWnee0OEVXyb5LYPxbdCFd/2pv5kBy1Kf44/B48fPIKHDx/Fb+TGmz/gNMVKqd7isV/WAxpnj6uhEHkWgPX4Xi6qKKo69s7Y3E4QxXdQyGQDSuDVgbSXUiKrkwi9BLYA9f6Ynbs0imYg1aG2Jed5UfRaUUyDLVNSCjwX3pfaSXwDwA+fPIFfuHRTaK8xSKCLil7bIOkV0N1kSduOD1/+c7Wfv/aTO2u3aStyv+DoYhEf++6TmErH8f+9YXfdwnI0Pord47shCzI2pDaE8ppOBdZsTsGdz83hFedMY6FAPL5dAguHg3h8myY2cyQ8Ux4GEj6LMbKgHeIUKGr/B9L+4MAPwHEcMrEMzps4D8Py8FqfUstgFN8jPhTfXEXxHSFChAj9CCpMGJJFpDwUo70Is7jM3hH3vvbUh1u2YnXCkud+bCYZj2+fim85NsT8zHNqzRs6Qn+j+jnyQrF2X5qvr0mrcHrTu91mie/miu/JTOeIb16M15ySebP/69ugePZkDv9+7yG85MwJvPb89Z7HLbkovvvF41vl7XGVlsMloseG7DlysaBiz9GVGgGdkkWcva5z3ZUy4Yx4Tq11ZwwSGKuTKNwywlqjqNCWQ+9CzLlL47ThCBu0QMzExVpSdK8R3yvqSu12mMGWgDvxfddz88iVNd/ti53AycJJlPQSFEPB5vRmDElDzR/UBdA2vPwAWnWEAYb4dlgVUf89v16SvYS/+tEzuP3ZCjn8wjPG8YaLNjK/P2/iPHz1dV8N9TXd2gT/58GjFeK7meKbLBayTRb7uuG0OfHp7w0wim8AsJSCx4H9g79+8K+xUF4AAPzHa/4DF09dvMZn1DoYj28vxbdIxg+v41hEfEeIEKFP0c+Kb6tk1/wqJMQkbwuHuINALBMLR+r/3QhUkGRZFcuUZsGYrOLb31oh5lBRxrhyzRs6Qn+jqtzneXuTPd0gIJC116FWJ+7hll7EN/X4nupQsCUAgAgDRDOcbs5+wh99+wk8fHgJ33j4KC7eMuJpmeduddL733HLslDm7fNMx8MlvlnFt4aHib/3xVtGIPCds/WNcfb3iOf1gZxz+9XqpKeI74cffhi33HILfvazn+GBBx7AzMwMZFlGuVxu/uAIDArkQjbUQPEt8hx4DrWEZqXDkyW9wE5l4siWK17avaYGoYrvMP29AffNBdUwcdszs3WkXjdxw49uwPH8cQDAv77qX3Hl+ivX7FyqMEyLuYBHim93sMQ3ewGi3/9Cnym+LcvC/fsXaj8fXSw2ODo8OK1OAOC2Z2ZxKluupYMDzT2+V0paQyWXblqOYMtt/k/SQXyD2DP1IyzL6ui8202YpoWTRPG9IVJ8R4gQYcDBKL5jIlJy/3h8zxcO4v9l0kibJobMOF7Z4FjW45u1OmlGXlfhFCQVVb058V2i4ZZ+iW/WNzfGlSLF94Cg9jkKhPgWvQMCPRXfPsMtq7Uso/juJPFNNp+E01DxvX+uwo9ohoXnTuU9ie+lopvVSe+v9XTTwt/OFJESlpHlOaQuPD/U5x8jxPdiUcVDxN/7ki2dszkBAJkTqxbf4DhtIOdcNtwyIr5bwic+8Ql897vfXevTGAhQlWwjj2+O4yCLQu0i2ElfKMuymIvtVFrGvtneJL53jezCBy75ALJqFmNx/0m+fkBJSlnka+/5D584uabENw0JVI3eKDKcBGS/eXzff2AB9+5fwC9dugmbx8JNrKZQSbil8wI0RL7//fb+HZwvYKFgj8VuzRNuxLduWvi3uw/CIvVLM49vw7RQVA3P1HvdMFsLtgQAQYLOy7YSRsk3Pr7HoRgKNJMs7PuY+J4vKExro6fi2+nxHYX3RogQoU/hzBbyUoz2Io4X9+NL4xUyZIdqNSS+WcW3yRCHvsMtJSfxbaCRi7FpWsiR+s2/x7eb4nvwSJjTEdW1pMnbNXLKsdFBwSq+7XVo0cOqh3YvaoYFRTcRlwSH4rtz4ZacGIcFQOUA1Tr9FN8a4WPmc95//4qb1UkfKL4V3cRGs4iMVZnXVjLedi6tYNRhdTKbtTeIOhlsCQASLwCrXyuO0wdyzqUizsjqpEVcddVVuPDCC3H55Zfj8ssvx7p169b6lPoWzpbDRpAlvkb0uNlwhAVFNxnSiLZI5ZXeUoPsGNmBHSM7OvLcdHPhledO46bHTwAAbn92FgVF9yTJOg0aEljWe6PLouiw5uj1dlmKhbyCG770M5Q1Ew8cWMD/vOeqjr0W3Uwxhu7DV546jkwsgyvWX8EqvvvM6uShQ0vMz7kuff50UfCiM8Zxz76K6vz/3X+4dr8s8hhymVuHHS3IKyXN8zutGU7FdwCrEwCqkKwR37zW38Q3VXsD4VtMdRMnlokCSxY9Lay2ZrbisqkX4r59WRjlzZjNKVB0oy50OkKECBF6HUVHp2k/WZ2U1eXa7aTVeP6lBGJZM1DWgxPfPM8hLvG1jsZmAZd5VWfWT34V34KUgGhZ0Fe7zmJCqRbUHaG/Ud1cNwQqGPAOCKTjtqjZ30dqe5Ig6wVn3ZIta6vENwm37KDi+wlrBu/dvgUAsFkr4wcde6XeBBVPzOe9iW83xbebXWOvQVE1jMIWe0jJkVCff5QqvomAiueAizut+OYlwABEy4LA6QM550aK7xDwkY98ZK1PYWDAenw3/pjpTk0n22Ochd1Uxt4pPp0sLOhk8bJdk7jruTnkyjoU3cQdz87hugvC3fX0i7hofx6K0Ru7686QwV5fPFHsncnWFjWPHln2FV7UKuiYKiVvw18/WCFT//EV/4ghEhjSb4rvh4gnG+CuGtNNHc8sPgPFUKDoCi5ffzmkBsn2fkCLxrddua1GfFMLqYmU7Pp5SgKPZEyozXfZsoYNcG9RNEwL2/gWFd8AdDEFaJXNAV7tc+KbWLXIgsyqofsMjL/3iLci6tqt1+KlG1+Bs+76YY3UOLlSxtbx3shXiBAhQgS/YDpNYwJScv8ovsu6ff2JW43XTHGyyC+pBsqqu2K2GZIxEWWtQsg4RR5OZB1B2XRToSE4DjIhvkVOGUj14emIKplGAwJT8ojn8c5Q1iq8hHJxiYfIc7XxkivrmExZjNVJJz2+JVID6ji9xqxlWTUPdwBM56sTyyW3cMveJ1rVwgp4jnQrp8IloynxTXH2ugxzbeoEPpY6F//fIw+BB/B5/SJoAzjnKn1KfPfPmUYIBNbju7niu4pOTpZO+wBW8d3bRXGYoCRlShZx7bnTtZ9/+OSJtTglAKziu1eIb+dmST+NE9oOqBomVlyKk7BAFd8WZ/tgZ+QMY3VUaKIq6jVQTzbA3Se0rJfxqzf9Km740Q14z0/eg8OLi/jGw8eYtrYgcFoynbUujRfurG9CHnfx966CqrHc2hCr0LUy1sP2MMfo9kDnqpMAWkHvc+J7QPy9AeAE8ff28mWsIibyzLXweOTzHSFChD4EzRAZcnS69Lq4RTHs62cc3td2wKH41h0e3wGIb8ZzuUltRjcOhmICxACt5THCucQi4ntgUCXTVN4eO40CAr08vr2Ib47j6uyKcorO5C51kviWJdseUu1cDmFPwjAtpsOjkdXJsqvHd+8T33pxhflZTAyH+vyZhAS3/MpLt3ZW7Q0AkpSsEawytEjx3UPoKcV3hPDAenw3/phpW3WrVieaqeGx2cegGRWSRxIkXL7ucuaYlVIBwtBzAABR4DFn6BCGDgAAZtQTuPc4SxBtHd6KjSnW8/rgykGcyPsnh6/ccCV4jv1C3jtzL/xsHk8kJ7BrdJfv1/ILSlLGRB6vOW89vvVIJVTytmdmUdYM3+2SYYJ6fPcq8d2JcMbF8iKeWXjG8/eb05uxObOZue9I9giO5Y41fN6HTs1AGDoKADAKOzGXU5iU6QdOPADD9Pf3TCYncebomcx9pwqnsH95PwBg7/I8hKHKbZMS37EMUjF7LugnxfdCXsGBuQJzn5tqTBbZwvs3/+sBPDcjYOfkEG754EvBB0zu1gwLBlkYJiQBb7psM+4lIZsAMD7kvTgeTkg4uUq8Zxss+MXcDIRVxYMJDvzwZs9j3bAvFoeeqHxvT2I/7j1+b8PjL1t3GbPBBQAPnnywNm83w3hiHGeNncXcN1+ax3OLz/k+5/Mmz6sjth+fexwPnnyw9vNgEd/NPTA3jiRwKluZcyOf7wgRIvQjGiu+e8vO0ImyWahJwWSu8ZztJKwpEeg33BJg81eaWZ0wwZaJYB1tMdg1kMQpA0nCnI6ofo4l3gJWP+N0wtspnrE6IeOt3GDjJh2XsLQq3siVNcxm7bWhyHOeqtowIJGgTp07vTZrnJtT840U3y7imn6wOnl2fg/eumUjUqaJKd3Cl4RwKUmB5zCcsMdvFZ329wYAkHVpDBrKA7jZyBDfkcf32mL37t2u9+/fvx87d+7s8tmsDZgd3CYkartWJ4Zp4E3ffxP2Le+r3TeVmMKtb7qVOW62sITkln+r/fxfh4Fkxb4LRwG85yfs837o0g/h1877Nea+bz3/Lfz73n/3fW6PvO2ROuL7t37yW9Ct5gTgdTuuw67RXXjZppeF6vetOojvy7eNYSgmoKAaKKoG7nxuDj+3u/v+9r2p+GY/p7DbZZ9dfBa/ctOvQDe9n/c3L/xNvO+i9zH3ff/A9/FPe/6p6fNXx3fu2T/BbE7BmdO2/94Hbv8A8j59md+w8w34sxf/GXPfvTP34mP3fqzutSgysQySsq2k7cTGQafwsEPtDbirxkROBM/xMK3K9+r5uSUAE9g/V8B8XmEslfzA2ZmSkAS8+rx1SH9XZMafW7BlFTR4qpHSX84fqd2e5yYwJfpfRHzhiS/g79OLQHpq9Z67ceNP7m74mNt+6TZMJieZ+z5814cxX5r39Zo/t+3n8KmXfoq576GTD+EP7voD3+f9ldd8BRdNXcTc98kHP4nH5x6v/dzP/t4AMENU280U3wCwYSSBR44sA4gU3xEiROhPMJ2mMuvx3a18jlahWPa8G+cbz9lUmKLoJlOnygGUb9RPudiEqKIb6H79vWvnRIhvgY8U34OC6uf4heMrEIUicjyP7S891/N4xurEU/HN0kJOxbfI22vDiZQcWFgSBLGY3dGodsgmslehOjanGim+ncQu0B+K72zhFBYFAYuCABWdOd/RoVjd+9MNxTeITY8MDTlj8OZcxehPxXf/nGmEQKAEV1PFd5tWJ88tPceQ3l7ohx1IipsO3IS/ffhvcap4KtTnpbtkksAjLgl4xTnE7uSJtbE76Q/Fd7iLp5sP39yQ9A4Tcw0Kl04gE8sgI2eQolYnPb74pHAjvt1UYxzHMX7QHPE7LLeQbK445ql4rPIdfeNFbPfJRAPimwZcOr05KeTc0drtU0Kwza5NqU14hzmNX8j1t8WJGzangynfew2M4ruBx/eKsoK7jt0FI7EHYmovAJY072dYloW3/eBteO8t78WH7/wwFkoLzR8UIUKEvgWbLSTUhVuaPUy4li27PpP5xhkLzo5MSqwEUXxTUVKxSW3GKr6DadZ+XhPwzuUVvG9pBSktDn0ASZjTEZXuYQubzQK26jrOU1UMpbzrSDo2vaxOnOOXJb61rgVbAkCcBHWeblYnzu/oQsF7/bjianXS+3xLvmzXhAmzM3SksyNhXSaOjSPNxShtQ5RhAdAA8Lw6kF02lMsKsuG71hhIxffevXtd7/dSgg8iqAKhqcc3GbBKC0TRsrJcuy3yIjamNmIsPlZ3nKIDpjIBAJAEDhNpGSeWKxdRnuewdTzJHO/W7j4ij2BrZmvgc6TYktkCw2p+UeDA4SWbXoIr11/Z1us54eaL9Jrz1uF7e2YAALc+PQtFNxgLmm6AUXzrvUF8O30PS5oB3TAD+Rs2wopie4xlYhmMuvjjualP/YzDmeUS+T5xdcT35vRmFPVi/QNdMO7SvpiKpWrnkC1pWMhXip9ETMDOiXG887x3QuIlRsHRLECpl+D09wa8Ff+yIKOkrxKGnL1ALLdQ/NEFAc/ZHTG/fPlmfOX+w7XfTfj1+G5AfMeJ4ntWDEZ8v3r7q3H23d/C57gD2KppyCGF9Hjj53B2vwAVAn1IarzQr2IyMVl3X1JKBpqT3UIr1yXXYSVT+S5uSW/Br5//676frxdxgpDXGxoovvct78Nv3fpbAAB53TD0fbsHRvFd0kt4bO6x2s8feUEUXh4hwiCjwKw7RMbqxLIqquZOh4q1ijLs67QspBscWU8OLhHiKVi4ZQCrE7LpH1Tx/S4zBSwdBAA8psWhm4NHwpyO0AwTcaiIcWTsNOiWo2OTjreSw6KIgvr058o6U4N30t8bABKyXZcaHAfd0CAK7QXX9ws0B1G6kFdhmparwt4t3LIV0U+3kS/bazzZ6g7xfem2UXBd6B74r/w+/NW2zbA4DucW5nFlD2/6tgqVrK/7SfHdmxVIhLZBWw6DeHwrLexK0VCyM0fOxNeu/5rrcRKGUTjw+wCA3Rsy+PvrL8YrP30ngAq5dOO7X9P0td51/rvwrvPfFfgcKb77xu+29fh2wVidrJJqLztrCglJQEkzkFN03LNvHi8/e9rrKTqCuNj7im+gMraHE+FMslnFHrtvP/fteM+F7/H1uLec8xa85Zy3NDzmRX91GxYJiUWVEgA8vyd+ce3Wa3Ht1msBAF/46QH82U1PV1733Gn8y+suqx1HF5r9Eg5a1gw8cWyl7v68qrsWf3TThqPEdwtdJs6gqmqRtHtDBueuz+CpE5Uxs2k06fp4gPXgbER8Jwq2T/ycuD7wucrxYfzfVe/xb/E/h59/d/Ax9ZXXfiXwYyiu3nQ1rt50dVvP8Tcv+5u2Ht9LMEwLp8gmVyPFN7MJsDpuZ5ZbC2XtNdC6AOh/+5oIESI0BmOZIAtIxdm1R76s9yzxXeTs2iguNQ5ZizsW+dRjN0g+j5cC1w3Zkn1+6XjA95BYqFWC1gaPhDkdoRsW0nCIZ+LeY5cZb6vfVcuyGJudeo9ve6xlyzrTETmV6bDiW04xP6tKDmKyXlQ3iHDmremmhZWShlFHtpCiG67r5H6wOimSGjFudua6MJpkN0ou3dIFmxMAohCDtbp2NDlzIDcbWS6r+7l0raJ/KPoIgcDs4Dbz+GYU38GJIrrAbbS4LTmSo+kFVTXMvrNCaRVu7SGJmICrdtqq3mdPdt++oB88voFwyVs6dofl8BKlLcuqI7o7aXWikYWM5FiUBVEV9QqeOL5Su6hSjtuyWFVZFdSmB8TqxNkx4Aclj7ZPjuPwyV+4AOdvHMb1F27AK86Zcns4AJb4zjYI9UoS4ntBCk58c3F7YRA3Cw2OjNAtzObKTDhqI8W3m0XP8eVST1sC+AXtpkmICUj86aHUihDhdAW1UhuKiZBFgVlf9HLAZYkjdXmsMTkiCjyTjbQciuK7idUJVXwHDLcEEbXInDaQJMzpCM2wkCFh9hBigOS90e7m8a3oJixSbjgV3xlG8a1hlqxjJhvY/YUB2cEnqGquo6/XS3Dz4XezO1lx8fcGWuNyuo2Cbq+/Y+hMSOqYY6OgK8GWAGTRrvt1zhzIzUY394J+QG9uvUdoG6zHdwCrkxZ2Calq1s2epAq6qxyXhDrlR17RA6kl+hGWZdWFW1ZBfYGdu73dwMs3vxzrh9ZDFmTsGA4vzLMduCq+QyS+f+28X8Mrt74SWTWLi6cuDu15l4oaQ0YDYArGsKG5dBFUMdSHiu+HDtktcJdsGWVsT3JlnWm/BBoovlv4HpUc8xTF+ZuG8f3ffnHT5/Dr8Z0qEuI7tiHIaQIAOLIwiFuDYZHR76CK7ZGk1NDztV7xbUHVTSwU1I77Z3YazIZ4g7ogQoQIg4GiQ9wCAJm4iPlVG7ZeDrgscBawGgKZiNVbyzkhS3ytlqccVZA1DGtD10zx3brVCUQ2aM1Zm0boT+imCSlxAC/buBFp08Q2i8dnGhyfcBHBOMddY49vnRHwTAYMjg+KRJytGxR18PJsvOC0OgGAuZyKMxx6G7dgS6C1tU+3USJWn5LVmbE0QqxOEpKAc9Z3pxaNkc1Gk7MGcs6NPL4j9BSKDq+9RqBWJ60Qrn4XuE4fsWRMAMehttucL+sNA+MGAbppMbvrEiEpKWHpdtHrNC6auggXTV3U9ddtBLfFgJfPcyu4Yv0VuGL9FaE9XxVOtTfQacW3P+K7qBqwLKsrHmft4OHDi7XbV+4Yx5MzKzXPOrfPn1F8c+0pvssN2j79IkPbQ0se47W0BJkoHpYCEN8nCyfxxSe+CKl0AJvSKbw5l0fSKvbFZzvoOLFib0Csb6D2BhyKb84CYAIQcHy5NFjEd2RzEiHCwINRfK/WHSmZEN8h1m5h42sz89A4DTmex5FNzYUfCUlwr0Uk/wRA0sV6wgus4jvY0v1OXsXzwxmoHIdsfo7pSIrQv9ANC7KYxXFRwAIEiEbj2o/Ws1WBh9NiJ+ngCxqGW3Z4vZ6Q0+Asq2YZoZxGim83DsBN8b3sEmwJ9Ifiu2gWa74TEjpDfG8es2vwy7aNMpxLJ0GJb52zYAxgl02k+I7QU6Ae30NNFN+xdhXfvq1O7OdOxkRwHIeULNaKx35Ro7YD58YCfe8l0S5a1oL47kWUXNo/w1R8dwqnsvUFyly+c8Q3HVd0HAHs998wLSi62dOdFaZpMQrvy7aN4n8eklDWKu+fW7s0VXyDt3/fSrI5nacaqXUbYdiPx/eSHZRZtGQURP8teMfzx/HVZ78KAJgcyeDNuTyGUIJqmF0PxY3A4gRRfG8YblzM1wV98hpgCphZLuGizSMAKl1CRxdLiIk81jV5vl6C306wCBEi9D8sy3JVfNPurHyvEt+6ik26vWE5N9Q8X8erNghSM1Diu9BU8W2/d0EV3z+08rhpbAQAcKGxGK0vBgSaYSLG22Rwhms89ujYrAo86BorJvIQHPk5znBL2rnaaY/vWEzEm1cKiMFEzLIQ71AAYi/CTSE87yKe8lJ894XHt6nUiG+RG2p8cIu49txpXHfBehxbLOJ/v+bsjryGG2TRzoDSOQvaAG42erkX9Dp6ivi+6aab8IlPfIK5T1VVXHnllbWfP/rRj+K6667r9qn1FXTDZIiwRFPFNyW+W/D49m11QsNjqm2QUo347mU1SFhwFpwM8U12ItWoMAXgrvjuhw2SU9l6xfdyUYOiGx0hJul4ce5oOzs+Cj1uKXRgPl8Li+I44JKto0jHxZpi3q1dmgazckTx3W64Zavv07Afj+9lm/g+ak1CCjAumDl3VUmQQgmKHhHfa40ZqvhuEGwJALLILhw5TocF4PhSCU8eX8EPnzyBHz5xEgfmC5AEDv/y9stwzVne3vK9hJdsegn+9VX/iqySRUpKNX9AhAgR+haqYTK+tFTxXUXPenyT6ykA8InmeS9e3WBBusTo2sxN5EHRjsd3jBeBalnD6ZHie0CgGSYEwa43Unxjn2Q6NjXDgmaYrptVFFTxvVhQmSDXqQ53pUkCj99aLCHNVf7GMvq7Cy4IdFfFd726e6Xkrvjuh8y0Iuxzl/jO1IiyKOBzb76kI8/d8HUlm/jWOMv18+xnmCZr3+LsNO9l9BTxPTc3hwceeIC5z7Is5r65ublun1bfoeiY8IaaKBBkqT3F93svfC+u33k9smoWZ49576iVXS6wfVEUh4g6xXcPWZ30IpxjGegP4nvWhfgGgPm8io0jje0PWkEjq5OExFoKFRQD4z3MQ1F/77Om08jEJaRl1mfQiXed9y78/Jk/j/933wzuztvFf0vhlmFYnfhSfB+q3TxiTUEU/FuUMF02VeKbK6GsGcH9PyOECqr4DmJ1AqBm0/PXP36mTvGjGRY+ceNTuPrMyTpVVi9iIjGBicTEWp9GhAgRuoCi4rRMWK3x432QMVK2g3gNi4OYSDd9iOxRGwTz+PYfPM4Q3wGv8TEaLMzrrsF5gwrLsnDf/gWIAo8XbB9b69MJFbppQeBtn+S0s55wwElslzSDJb5dxi5VfB+cZwPUO21NKgk8FEhIo0J86+rpk2PjJn6bd+kaporvhCTU1i9rkRMWFEXYY0/gB6srMCZRxTcGLtzSOT4jj+8WccMNN+CGG25Y69Poe9QXoJ31+D5z9EycOXpm8/NyI777oSgOEc6NBUpSMorvNbhoPbv4LL7+3NehGAomE5P4nUt+p+vn4IQbcRlWu+xCaQF//sCfIxPLICNn8MFLPhiaP7JXkOVcTukM8a3bF1Wn4pvnOSQlodZK2+vfM6fNCeBst6wnkl+w/gUAgK/f+RAs/VTt/lYCXugGXavEN1V8F1UDmmHWe8sR4vuoNRWIzGSJ78pnn0IZ81rvF7uDDurxvaGJ4pvneEi8BM1cHdOrNj1eQTgH5gr44ZMn8LoLggehRogQIUKnUHAolqvrDmc4Xk+CEN85JCFLzZfGCQ8v744R39TqJKDHt0yJb844rYQ139szg9/96mMAgC++4zK84pzmNjb9gori295oT4mN1xbOsVlWDWaNFW+i+Kbr1+GE1PHO0ZjAIw977J5OxLdbDTiXq1d3UwX+uuF4bXOiH6xOriwb2MGVkOM5JOXJtT6dUBFjFN8YuM1GJ/HdT1Yn/XOmEXyDFqCSwDUdkHKbHt9+UXSxEKCK714n5MIAnSxEngNPyC76Oa1FAvBMfgb/8+z/4Dv7voPbj97e9dd3g5ufd1ge3/Oledxy+BZ88/lv4qvPfDXUUEA3qxPAWwneLrQGVieAM+Cyt79nDx2ygy0v21pR6PhdPDttRdpWfLfo8e1sRc66qb6Jx/cRawoS7/9ynCMhP5nVzz7BqVDUzvnIR/CHmRX/im/AGXDJjpNLt47ij687B688x7Y3+ext+2AOWBEdIUKE/gYlbuOS7RXcrFurF3DPiftxzeaNeP3G9fg/k8O+1GthWJ0kGasT71rFsixmwz+o4lsmFhjWaWZ1cv+BhdrtGx8/EfrzFxQdz59am9BF3bBg8XbNlxEb+yTLIg+6zKlTfLvUuzSonaIb4duSwEGx7LFuaJ1ZP/Ui3K1OGodbThPP9X6wOvmdpRw+PTuPfz05h4nYrrU+nVAhS/Z3UeU46AMWbtkor67X0VOK7wjhoBRQscgQ3x2cLF2tTvpBDRIitAZhAGvt8U39ZhWjNwg0Z+I4EN4GCaOaDTl8zS3cEuhcwCXj8S3WE/hDsgisqtDXeoNJ1U285ysP4ZmTOXzo2l34pcs21343l1NwaMFu3bx0a1Xx7c8SyTmHlFsJtwzB43soJkDgudoCM1vWMe5sC2UU35OYbtPqBADUYhaA/5DMCOFC1U2mHXWDT+I7r+UBAL902TosL0/jhTsn8HO719XCLF985gR+8vQsAOCZkzn85OlTeNXudR34CyJEiBAhOKgggeaKMOGWSm/aGS6V5jAvCpiHANFk7R+94LYpznMVss4vGMW35l2XFVQDlKsO7PEtUOLbWBNhzVpBIV1wTxxfaXBkcOTKGl72f+/AQkHF7127C7/9iuadz2FCMy0Igv2dSscaW/RwHNv9WVQNRgiTdOl0SHtssnTa3xsABJ7DbSkJd0hpKByHS1eOYLzjr9obcOvKcLM6YRTfGbvDsOcV35YFWbc3jCx5wKxOYrafqMpzUFtYi/YyGrkX9Doi4nsAwRSgcvOPmBLfnSRc3XaWM6eZ1QndJasnvu2CWVuDixZVHvYK8d3JcEuGPAz5okuV3ZNpuRbMOOtBiLeLRh7fADAk+2+p7TRufHwGtz9byWr4g288jpMrZbz/5WeA4zg8TGxOpjMyNo1WiMOUTBbPjRTfDmW10oL1R9CNQzdwHIdMXKz579X5fJsGsHyk9uMRaxqbgliduIRbAoBRCndhFyEYTmXLNS99AJgebr44/NRLPwWgMv/uHNmJJGmRrOLsdRm86txp3PxUxcbns7fvw7XnTofapRI2PnrPR3GicAKZWAY37L4BF0xesNanFCFChA6Bqe9JvdEP4pZc2a47YobgKyA67nJMJU/F/5xMyXOnRSWFs65Je6hwvRAjtb3FmTAGTH3YCAqpjffP5VFQdF/rYj+467n5WuDgtx493n3iWzchxuyxkfKxjknEbOK7pBmMMthtM8drrHWD+OY4DjcNc9gXr4g5/rBwBC/o+Kv2Btw2pxby9VYnS1TxPUyJ7x4nWrUiBOLxbYYsPltrZOLj+NWVHGTLggQLj2d6c9O3VVAui+cAMSK+I6wlmrUuORFjFN/BCqK8msdv3fpbyMgZZGIZfPTKjyIuuvuaNrM6Od3CLZ0EJWt10v3CNC6Qi2aPEN+uHt9hEd9KZxTfpmkxyu7zNmRqRG+nFN+0SHKzOqEttWu9wXTf/gXm57+55TnM5xV8/PrdePgwsTnZNlZbRDazOvnxoR/jx4d+jOzwMUj8DmiLLwHQmtUJuxBo/WI+nJBqxHed1Ul2BjDt+45ak4EKB7ppkzDthbZeWpuW2wgVnCA2JxOpmC8C5bJ1l/l67t9++Zk14vvxYyu487k5vOysqSaPWjvsmduDgysHAQBvPOONa3syESJE6Ci8FN/9YGeYJR7fkin6sjpx80MOao3m1+ObWrglY4JrjdcItJvT5E9fxbdlAU+dyOLybeGEXJ4kApfKprfV1c1o3TSh8va4ScvNu/1oF2NZbW51kpDY7sUqumF1AgCCxQOofIaKfvpYnbhxAFWFPl3PUVENVXxrhgXDtHo3CL3sEOnEh9fmPDqETHICf7Rob6i+OzlY/FYjEWevo7/ONoIvUI9vf4pv+2IXdJdwWVnGI7OP4I6jd+B7+78HifduwWOtTirn5VfJOSigk4WzeF1rqxPaDqka9TvLawE3P+qwPL47ZXWyVFSZhcV5G+0L+pxH6GW7aObxTRefxTVefD5wcLHuvi/fdxi/89VHcf8B6u9tF/GU+M66zBMHVw7ilsO3AMmnIcRnave3a3XSquIbYNuR6xTfy7a/96w1gjJkiC2GW8om8UAsZ90Oj9Al0GBLP/7eQXD+pmG87Cw7AOgzt+2DZfUugdGpjcUIESL0HrwItGbX7l5AVrE3jAVTatnjO6g1GrWWKGmGZ3YDE2wZ0N8bAGJE1GJw5sD5zTaCcy31xLHwuuJoZ2dRNbq+saMbFsq8/fel482Jb+dmC/3eum3ccBznqvqeSjcO7g4LokUzyE6fcEvdY3Nq3hFwySi+M+xn0suq78WVo/h2agg/SSZwrzwEUQ63Xl5ziOzGEK/3hpgwLDQScfY6+utsI/hCUMV3O+GWlIBJSSkIvPfrUQ+7atGYOt2sTkgR5iyu6eSh6eETGrph1hNwBFTxXdbLoZAqn77lObzpn+/Dz1zITj8ouKhgwmqX7RTxTf29E5KAHZN2yMVsh4hvdkOlnkCl84Dbe9otnFgp4cii7eF91rTtSXjj4ycYD8ZqsCXALvbcOkOoTQ9IQGArAS9Myn0bxPcwIb6doZtOf28AEIN4fBNSUbbsDSszUnyvKWaWabBl+AvD3375GbXbDx9eYjaKegmWZXU0QyFChAi9BS/BDSXN8j3a1ZnTCrXbnCFD9nHdD4P4dhKNXhv1tGMskwjeqE0V3wZnnlbhlk5v3SdD9Pl2hth3qr73gmaauKqk4RWFIq4olTGZ2tj0MXTcljSDEXp48QVuxHfXFN+EpuqVTuRuwEv8Nu8IuKQe33XEdwtWj93CoaXn8bHJcXxwehJ/NDXad+RpUziIb84crG4F1bDnjZiPztZeQmR1MoCgik7aEuMF2qbgTGpthiCL25LLznI/JL6HiYYe3x30Wl/IK3jjP96Do4slTKRiOGd9Bueuz+Cc1X87J4fYABxY0E0dkhBcXVLFMyez+IdbnwcA/OmNe3Hjb78k0OMN03IdjwUXFXgrYBSJIXp8n8rZF7ipjMwoI+Y7RXw3CE0FWMV3WIr5VkA3QDaPJfCt33wh3vv/HsZPn59njkvGBJyz3ibFm22QUeKb4+zfl1rx+G7ieegXlKyv23AixPcRq2JXIfL+Cz/dsv9GybLHl6VExPdagiq+N4yEr2C5dOsYrtoxjvsOVOyCPnPb87hqZ+/FPZWNMjRi5RN2hkKECBF6C9SjmlV803DL3qzxc7q9GQ8z7s/qxCUAM2iHGM1eASqiJbc1G9049wobbISYaF+LTM46raxOnGuIMAMunSH2p7Jl7JxMeRwdPnTDwocXlpHiVtccE+c2fUzcQXwz4ZYefEFalgCwautueHwDgGDZ56sOmGq2EXQv4pusIcuawYgV1znEFq10vHYLuZK95kuYnK9A4b4CL8ICD27VpofvkS76sEDHnZ/rZS8hIr4HEIXAim9qdRKMKMqpNtHSbHFbcjmv9Gms+HYSlDEabhky8X37s3M4ulgpXObzKn76/DxDNm4cSeCzbz2LeUzZKLdFfJ8g6sfnTuZhmhb4AHYObjYnQHiWOJ1SJM6RYng6HWcKxLmc0hEfwGbhlrSgXUvimypUr9g+jiFZxBffcTl+/+t78L09tkXJxVtGGM/rZh7fjOKbb0/xXe6A1QltVQbgQXz7HxM3/q8boZkacmoOR//29fYvIuJ7TdGK4vszj34GD596GIqu4O27347XbH9Nw+N/+xVn1Ijve/cv4OHDi7iUdEf0AuimIhApviNEGHQwim8Pj+9eFbfkTbtmM82Er2uxm7o7aL3gDMj0yiRhFN8Bgy0B4KVj5+G2u/4BMQvYZ2zGV4Z7VwkaNpwiov1z+Tqf5FZBRS5A56wMvWDquk16A0C8+XWWcgIlh9WJV8eCq9VJpluKb0J8n0aKb6/NqWqYKsDanACVXBmeA6oNHb2s+M6V7bVg3OR95eH0FTgOX8sMowQdKsdBMxeaP6aPEHl8R+gpFD0KUC/QnbagnlB+fTwty2LCLd2sTnq1KA4Tfj2+wya+Z3ON22yOL5fw/T1zzH3ttpVRAlE1TMwHDHb0WgTklXB2sTtndcIqvmlLoNrEbqZVUGscd4/v3rA6eeCgffF/wfYKWRcTefzdL1+EG164rfa7N17Etmymm1mdiO6K75asTkIivocbeXwv2R7fR6vEd8BWP4mXMBYfg8nbCiMuIr7XFIzHt0/F94HlA3j41MN4cuFJnCqcanr8VTvGcSnxv//sbfuCn2iHQefWuBBnuokiRIgweGAsFmWq+BaZY3rRZiNn2gSSZQ35Eia4dYMFVS3yPMfUGF7djNQbnW6o+0VCzmDSMDFsmkhbOvQe/Aw6BSf5Z1rAUzPhZKHMuii+u4mYkWfv8BEQSMdtSTNcBWlOuHUZTKa64/FNFd+aOViq2UbwtDohmyvU5iQZEyCLQltCxm4iV7aDH2OG0HeqYT/47MgQ/mZ8FJ8ZG4GK3rQlbBVqHyu+++tsI/iCVwHqBbkLVieKboJaRlcvsP2Q+B4mGgUCtGM50wyLebtguHrXJP7wNWfjjRdtYFKgVwpsMdw28e3YRDm6FCyYxCvlPq+EQxwzY7dDVifTmTiGExLzWXdCFcKEW7pchJI9YHUyl1NwYM720rxyu23RwPMcPn79ufjm+16I/3z3FfjFSzcxj3Uqvp3+82EqvhmP73asThI01KuBx7dZIb7dvNn9QBVtD3lOzTc4MkKncWLF/u5v8Kn4pqSwnzmX4zi8n3h93/7sHJ4+0VuhppG/d4QIpxdoXUEFN2mZJc16McS+QKzDLPibr5xqbaC1jXJn2KAbWMV3C12Y5BojQ/MMzhtEuBGIYfh85xW9bs3qtD7pNJKmXe9Z4IBYusHRFTBWJw7Ftxfx7ewyiIl8S17zrYAnxgTqaUR8e31HvRTfI6sbYtSCqZX1T7eQJ6JJ0WegcL8hBrKmswYrmLWZvWovI7I6GUB4ee15IRZSuGUj8tCp3k24WZ30YEEcNrQGkwWr+A63MF0kF8sLNw3jPS/dCQD4/B378ckfPQOg4ocsCzJ4jocsyNDN9j6PskNpcXy5xCgVm8FL/VLWTOiGGVgh60RKSmFYHkZOzXUs3HIqLYPjOEymZRxfrlz4ZnMKzpxuXqAGAb0IuRGoNGxqrRTf1N97/XAcm8dYRSzHcZ7jg2YB6KYFRTeZAp4Nt6SK7+AbSNXHcDCRsgpAaTnwcwDAhFhCBhWiXy8s2c+jl4HCbO24qtWJEMDqhEITCPGtRcT3WqGsGcw861fxTceu383Gl+2axNnr0njmZEXh/+ChRZyzvncI5k7lJ0SIEKE3wRJo9vXa6WOdUzQMJ1u30OsEcjCBVZLC9El8uym+W8kEScQErJYJ3lYn5fbCLSHam7Ayp51Wim83EdETx9vfKHZTd3c73FLkZvGd1BDSpolhPo7LfOTEJJ2Kbx8djk6rk8mUHLpdoxcE2HOFZvVmOG4n4NX1PUc6p1eI4nskWdncqii+K/f3tOKb2OQKhuQrULjfIJNplrMGLNyygYiz1xER3wOIgo+wCop2WmP8Wp0UHTuPNasTogZRDROKbgye1xOB0ijckkweYYdbLpKd4bEhW/1BFyUFxcCDv/ZgaAWN4vjMjwdUfNNFgCzyzHtXUAwMJ9ubbP/52n8GULHhsVC/EGjVi5sWv9WU7QlCfHda8e12ERqK0c95bTaYnDYnQd5bZ6tltqx5Et8cZxeDpRatTnZyx/Hl2Cex6avzzR/ggTcBeFN1vXkcwCfrj9Eg4RQqZL/fjRzN0KCZGhJiAhzHQZdsqxMxIr7XDFTtzXPAtM/wp1aIb47jcMZUqkZ8Zztgn9QOIsV3hAinFxjFN6krRYFHMibUiPFetDR8WUnFEmcgx/NQuQlfj3EjCd1U4M3gT/FNrE5aUXwTKzgZGnSzdwmxsOFGfIeh+HYjvrttdcJLx/DRyUrn5Fbdwo0+HpNwKL5LHhtWFM76u1v+3gAgcFTx3XtzR6egke+oyHO1zSpqdbLEEN+Vz6gd69puIqvb3b+cKQ+o4psHatzCABPfffbZRcT3AIIWT0O+wi3tQWuYViA1rd8FLr24xgS+9vzOneR8WYecGlziW21AUMY66PFNlYiU+KaFTkk1Qt3FLzsKzmNLxUCPp+N4ImUTxwCQV/XQVEMcx4ED+3c/dGgR7/nKw5hMy/jSr12O9cP+1JsAMOvw+AZQF3AZNmiHgJvH91APWJ1QxfcVxObED+ISzxR/ubKOKSKaZ61O2vT4Vg18UPgxNnGtk95+cUpcD3PVcUzyqfi+d+ZevP+290PkRVwwcQHeLk7VfidExPea4QSZn6bScd/X0FaIb4D1eu01MikiviNEOL3gpfgGKpaG1d/3nKWhaeLjc7PgVgmKt6U2+3qYa7hlC4pv+l55Bbqziu/gde9RdRlv37wRKlexxNhxGlmduIm5np/NoaQaLX1eVTj9vSv3dY/cMkwLMcGu91Kcv7+FIb41gxlz3h7f7Pd5yuemfhjgOXu861aPzR0dBM1tms7Ea+tfanWyXLJvj64qvunmWysdr91CXrfrZcuI9x156gcVq5PVz9EarGDWfrY66a+zjeALzIVMbr634Ry0QdTGdIGbbuAvRolvWmwkYwIo19pzRXHIaLRLJomc63FhYIF4fI8P2UULowT2KLpbhZN0pMS1H9CFVDouMt5lnbbF+cr9h7FQUPHMyRz+9PtP+X6caVquim8acNksaLQVaA1CUwHWKmQt1KFLq+9lFVfsGAv0eI7j6ny+KbwU30GJb8uyUNIM7OKPBXpcS5Az+MbQm2s/+rU6qc65uqnDsAwYMVvxLenBNpcihIcZovheP+I/+IkGswYhvun3IdtjxPewPIzd47uxOb0Z64bWrfXpRIgQocOg9aPT3qSnLQ3VXI30BsB0UDVC3CXI0o0MbwbGesKP1UkLim9ejGNeFJAVBOQEHprZu0rQsOG2ljIt4Kk2czG8rE6c+TOdgmaYEAVbNZvi/I2LhEPs5LU2p3Aqvie7SHxfqm7HT44cx12Hj+F3lMmuve5ag3ZlbCD15HzePdxyuM8U3zlS6xpmciAV3xJn/00WBsufPrI6idBT8BNWQeGccBTNRDLmcbAD64fWY+fwTmTVLMbi3mQWJePpjjPHcUjJYo3I6jXlWthoZEmxForvhI82y1bhVFocC2p1otGFlIiULKGsVS6Wnd4goe/XD588ifsPLODKHc1VygsFFQbxT6wqIyZTnVV8s7uv9QTqOHn9hYLaso1Lq/jZIVvtPZGSsWNiqMHR7kjFxVprn3PxnJSSkLlhlBQelmkXiZphwTAt36RydcyewR2373zz14DNVwQ+38OLRVz/mbsBVMI7H/3oK9nOAimJO//lQQDLlR9b7LKxyEJdMiLF91qBKr43BOgQYRTfegDFN1mM1oWnrjFev/P1eP3O16/1aUSIEKFLYLOFHIrvHp6rUGZtL3SpdY9vNzK8GZKM+MS9BqfrolY8vuUYS+Yb+mC13XvBsiymNp7OyLUMniePrwTKHHLCLciyqBrIK3odUdwJ6KYFgbeFDine36I9QcZoSTMYG1K/Ht9Taf8b++0ixqcwbazaJOk9Nnd0EJQDWDecALAEoEJ2a4YJSeCxXKSK71Xim2a29bLi29Rq0lvdSA6kxW0MAoDq3D1YxHcj295eR0R8DyC80tW94Jxwgvh8/8kL/8TXcdRr10nGp08j4ruh4tsRbhkWOVlS2QCT8RT1+GbbLA3TgGIoUAwFCTGBuNh6gVOn+F4qBfqbnBs4KVnA/Cqv1y7xXdbLmCvNIRPLIB1Lg+fYz8J57p+48Sl87/0vbkqgUjV35Zwr7y/1xOtEAI5mNFZ8080ORTdRVA3ms+80HjhAbU6C+XtXkZYlABVyMedYPG/NbMVl3N/jR/tP1j2urPn/W0uqgVFkMc7Z6nRsuBhIjAQ+32QmgSxWCX4TUMRMnSKMbpKILqGkbnAGB1qy3WkTMyLF91qBUXwPB1B8t2p10qADIkKECBG6CUbx7VLjV9FzXZ1l+3qat+KQJJ/KWTerkxYU36wC18PqpNSe4jvmsJvizILHkYMFZ/fypVtH8YMnKjXiE236fJ/y6NyczSndIb4NExxvn0Na8LfZnnB0GPgRytWFW3ZR8W2S+ogPUB/1O1RidbLO4am+WFAxnYmzHt+JVasTMgeVe1jxnSW2NZqZHkjFd4yxHxos4jvy+I7QU3C9kFkW8Nh/AaeerDtesiy8VojhB8YLAHCh22wAbAufk/xJxUVgtQbpuaI4ZDSaLJw/a4blqt4NioUCWyyMJqnHN1F8Kwbe8aN3YM/cHgDAX77kL/G6Ha9r+XWd/mIlzcBSUWNI2EagCqKEJFTGySra9aneu7AXN/zoBgDAdHIaP/mln7Cv7VDe7J3J4psPH8ObLm/s/0h9/6Yz8RrB20nFt2FaIPypK/E9mpTAcZVpAKhY33ST+P7ZITvYMqjNSRWNrE4AbyVZKQjxrRnYyc3Ufrbiw+CGWmuvdC4iiqpRN/dRb3YxoNUJsOqfTCymZOP0WND2Ik6u2Irv9SMtKr4DWZ1Qj+/TRwkVIUKE3gOz7nBcb5tdu8NCVbAQxHLkxPJB/Cw1hLRpAvqQbwLGlfhuxeNbatx1aVkWY2XVisd3zKH4hnl6dIY517KXbLGJ73YDLr38vE9ly9g56c8upx1ohgUIhPiWkr4eRzda8orOvEd+rU666fFNg1k5c7DIw0agVieZuIShmFDrCJnPK5jOxLHiFm7ZJ4rvf1wqI6ssIcdz+KviRsaiZVAg8/b3ycJg1ehUINtvmxYR8T2AYMItqwXonZ8E7vhL1+M5AP8oAW+3PoK7zAs74gvVaFeZXlTzymBNDk6oDZS5zp81wwxlJ43adqTjIvOctCOgoOqICTYprRrtFRmKi7/ysaWif+LbMWboubbrE0lVs27e9CWXc//rHz+L116wvqbidgP1/aPFIVVIzOXDJb6dxb3bmBEFHqPJWG0sLBQUbBn3Vyi3i2xZw1Mz9vsdNNiyinSTdmmvBXUQn++SZuAM3ia+uYmzgBa7LpyL76Kq1419g0lubzFQOG4vsmQzUnyvFU50WfHNeHyvgW9/hAgRIlTBdpo6xC1yeLWbFw7M5fHzn78Xqm7iK++6wreNxRMLe/HHk5WaZLtiYYPPlnvZhfiOt9Cu38xusKgaTGdYJh582R6T2RqXM4PZDvYrnN3LdEw8P5tHWasXI/iFm9UJ4B562QnopglDsNdoGZ/e9HTDhq4NgXqLotpzr6HVCVV8C6eR4pvp4hV5jKdkFBYr9f38ambXErE6GVkVtNEO/iDd+93GplIWnF45/6I5NphWJ5xYy7bkBoz47meP7/462wi+wPhpxwTg+Z8Ad/xV08ddyj8HoDOTJSUSnbvK3SiKewW0fane6oRzHBvO50BToMcdxBvdhDAtQOLs35fb9AF0G0fHA/h8FzU6jkU2IKlNxXcdeehA2WUBMp9X8I+372v4vLQYnsrEXW8vF7VQN5ec7ZxeXtGUdKVhp53GQ4cWa4r0kaSEM6daU8M0+/y9FN+BiG/VYP29J3b5P0EHBJ5jdsLdgqt0ovgW/FqdOMYuL9vjNxER32uGGeLxHYT4Hk+MY9foLlwwcQF2juz0/Tiq/Os1q5PHZh/D3oW9OJo72vYGaoQIEXobumEy9V694rvz3Slff/gYlosaiqqBf7vnoO/H5ZSl2m3ZFHwrD90U3/EWFN80CNStRnDWNa3YaPBCDBIJXbSs04P4dq6hzlmfqfmwG6bVcsClZVk4SUQuW8ZsEUknwuvdoBsWDN4eG2m5XsDjhsbEd++FWx4W5vGKzRvwki0b8f7R06e+dXaDThCL0vnVruFlIngYdQm3DLL26Sp0BZxuz0FZazDDLWO8fR20eL1rwbfdgGrYYyuyOomwplB1k5kwM6UZ4JvvQm3baWQrcNZr7Accvhc4+XjlWFQuKn6J75JewrOLzyITyyAjZzCRmPA+VmVtKyiohUW2xxbwYYOSlM6Jvt7qJBzie5GQnKNO4tuxQBF5u6Bpl7Bwu+geX/ZfcNMxMxQTUAzRJ7IZ8U0DX645axK3PzsHAPjC3Qfxqy/Ygs1j7mppWvROk+KQFi1AZcd+YwA7hEZwjhOv3dfxoRiqtL3T/qaToP7eL9g2Bt6npYcTzdqlV5QFcFIRHKfD1MYBq3K803KnEcoOqxNMtk58A5WFRHU+dVNzaUTxLflVfDs8vvk48fiGBugqIPpMJ44QCgqKzly7NgT4bl+96WpcvenqwK/ZLfuAVvDBOz6I+dI8AODLr/4yLpm+ZI3PKEKECJ1C0VHr1Sm+6VzVITvDI4s2KUY7zJohT8ItJUPwTcBIAgeB5xg1dise31Rl63wfASBbIgIQSWiNZOA4yJYFbbV7jTtNNsgp8c1zlTXXueszeOTIMoCK3cklW4IHXK6UNOa5z980XBt/XkrwsKEaJlSeWODII74el4ix4ZZVcJy3ZcFkWsa28SQOLRSxc3Kou1YngohZrvIdSVq9q2AOG3RdF1tVfFexUFBgWZaH1UkfKL7L7PycxVDfqYb94H3xM/E7Tz8GybLw39r50E2rTuDYr4g8viP0DKjaW4aKsR+8GygvV+6QksCvfhWYPtd+wG1/XiO+01yFlPSrRj2cPYy3/fBtAICkmMQDb3mgwXk1DresYvA9vskumdPqxEF8OZW8rWKxgeLbWajzsHf2y0Z7ygW3YI1jQRTfdeGW4Xl8M8S3XE98U9L9A6/chadOZHEqq0DVTfzVD5/B597iTuSccnh8VyGLAkaSEpZXC5W5nNIx4tvrwkpDTRcK3VNhPnCQBFvuaM3mBHASfawKyrIs6Bv/AqlVBUxh/wdhqtMAWrA6ocT3xFktny9QWdRWA2jc7HMMo4VwS8emDZcYZg9Q84DYmo96hNZwgvh7V9Q5q4sUtQAcuANQwvdUnSqqeAP/FB40z8aMNgHNMD27PboNZnPGZWMxQoQIgwOaxwLUWyZQq4ROdXXSbsKD8wXkypovdTS9noqm5LvlnuM4JCSBWbO0FG5JPb6bdLI5QwaDIEbEhpzVHVXyWkN1kIccx+H8jcMM8d0KaJ0fE3nsmkrjJpxY/V33FN+qYP99qYQ/Aj8huY+hpCR4hs4LPIevvOsK3PbMLF5+9lTL4pVWIAhJYPXPVAeDM/QFnVF883ZNiYpwqqgazPgeTlStTojHd6+GW5L6ULd46EKiq2OqWxiPZZBcVUYPWTp0w0KLzko9B9bqpL/+qIj4HjBQsvBPxC9DOLnH/uX1f8+S3gAQt0mTDCrBaH53CZ3Kw0ZgrU7YYXd6WZ1Qj292oud5DiLPQV9VkFDlfjtYJD5gTo9hga8U79XPR0B4Ht9uSttgxDdrdZIi7127qqFGxIxhWsx3YGwoho+8+mx86GuV79JNT5zAOw4u4gXb68lFqvieciRxT6bkGvHtFYzTCjRin8Nxlc/UDeNDRDHQJauTgqLjCbK4uMLlPfMLtl2a/fxLmgGYErBKfCdiJqrcvhvh7AWlmMdGbt6+Y+LMls8XQK2tFnBvY9bM9sMtywlHi6uSBZIR8d1NzCyTTo9MvPIdPPog8PV3ANnjDR7ZOsYA/H2ssnB4hfop5Mr1HvJrgbJehkpCqJrVBhEiROhv0FpNErg6BRit8TvVneKsLZ8+kXOt0ZzIa/amJG/IgVru4xIPGtkSbyGgLdnE45vmN7QSbFmFBLu+4E4TqxMa7lcVGp230V7zPnG8NasTSm5PZ2SsG7Zr69mQw+u9oBkmSrwFrH6u6YQ/UYlXgKVzXe7E5rEk3vHCbUFOMRSIQgJVe2QVg2MV0QxsHhiHSWp1klcYmxPAVnxTz/og3a7dxDNze/D7m9YjbZqY0DjIs/1FnPoFT4JZZWirgaWD8bc6NxX7Cf11thGaolqA/pJwB35VvN3+xeW/DlzwpvoHxO1FaRqrim+fk2UzuwiKkuqtimDDLQec+GYmi/oJkCr2OmF1MjZU36LGKvDt4qddxbfbbvOxJf8tll1TfDvGrlMhnIwJeONFG3HhJrtg/tMb98I064swNtyS9fntVMClMzDVS7VBFd9Ob79O4eHDS7VW4HRcxDnrWyfBGi2esyUdlmX/fjRFfe78f4+Epf3gucr5qpCA0W0tnm0FTBuzq8c3Cbf0qdbNqbna7YycgRwTkbfIWOuAujhCY1DF94ZhGXjgn4EvvaZjpDeFyJl4Jf9Ix7xzg4LOrUCk+I4QYRDw3KkcvvHwMdd5ptjAyhBgrU46UeOXNQPzjprKr5o3p5Ga1Iz59vgG6gOsWwlKZMIt3axOyPvdSrBlFTItV08bxTf1oa28z+eTOv75U7mWfJAZ4jsdZ2r9MEUtjaCbFv5hZgX/dfwk/vnELHaNnu3rcV5dCdQCpZcgSratpNZi0Hw/QnOs68Ydiu8lsoZLyWKNO+gHxfdi/iQOSxKelGU8I4uB5tx+AieRrm9OY1T8/Y7I6iRCz6CgGNjNHcSfiV+y79x0OfBzf+H+AKLGSnOVAtCvxUYQ4ruR1Umqh71Kw4bWINwSqOzsVjdyuxFuCQBJWcBCRewP3uqs4juIxzezmIoJjJdiu50BjaxOnARlIiaA5zl87Ppz8Qufvw8A8OTxLO7dv4AXn2n72humVUvbBipKEArqixdm8jvjBdeAPKWfvXOR2Cn8jNicXL5tzFON7gfpBj6h2bIGWPYGWkK2P8Mgiu/4sh1eelLchC18e7vzzKJWrR+zekDFt2VZeNd570JWzSKrZjGRmIBSEJBHAimsLriUXOMniRA6qorvIZTwh8V/BX5INp15Edh4KQD3z1eFhYPQUYYFDRYug0//zKWDQP4UAGCSW+mZayftponxMcRF/0GfESJE6D0sFlS87jN3Q9VN3LtvIz79yxcxv6dChCG5flnZ6XBLt7pyr0+f75xhP9YyEr6tToB6EtFLTdsIdHO85FIjUI/vdhTfL9YFrJRzkC0LR/TTY+lPOzerhOAZkynIIg9FN6GbFp45mcNFm0cCPS9VdU9n4kx352yu4r/sJUAJC7pu4CI9D7Fa/6c3+Hqc1xhNeligrDUk0Sa+T1erE0lgrU4W8gpWSvX+3gAbbtmrHt+5kr0ujJt8oDm3n8DHbDvTGDQm06nf4Ta39gt6c6aL0DJKxTw+L/0dZG51UkyOA7/0Ze+wM0bxvRpu6ZMoCuLjyVqdeHt894pqrVNQmrSHVFQJlUI3PI9vu0hza4UfIoU3Vc2W9TY9vl3GUa6sY6WkYdhHAV9qsFnSdrhlg7HrPO/46kX50q1jeOmuSdz5XCXo8rZnZhnie6GgMOT8VKY7im/N0RLnBSYcpUtWJw8cXKjdbsfmBAAyDRbP2ZIGy7THrija70kQRU8iu792+1RsM7a0cqIEdNy6EfB6QI9vjuPwngvfw9w3L+VQsOI2rxoR313HiZUSdnFH8Xnp77Azd8L+RXo98Ev/Dmy50vOxMyuH8IvfuR4AIHIiHn37o/5e9LY/A+76vwCASW6ZaYlfSzTLT4gQIUJ/Yc+x5ZoQ447V+oeikbAFcNgZdkDxfdzFQm/vjE/FN7FlMsxkoEW8cy3TiuJ7KIjViQ/Pci98QE0hsXCocttKtfw8/QTVhZwRBR7nrM/gsaPLAIAnjq8EJr6Zzs6MzOT5FFUDeUX35S/fDgylCJEja8S4v2utt+K7N8lHSbTHqsFx0HUFouhTHNDHcK7r6KbXfF7BErEwpcR3nIZbttDN0A3kyku123KAQOF+w02lw/jc5g1QOQ5bigu4NFJ89wT662wjNEX80G3YwlcKUwM88Iv/Bgxv9H6AbLd9VRXfvj2+AyxwSw1aITvdBtlLYAMB6okuep8W0m4ttbUYS7kovmnBQ1Sz7Sq+vcaR2yLFDVQhOxQTQ108NepWoARlXOKZ0I1Xnjtdu33Hs7PM46iKe8hhzQKw1idzIfoAOlvivEA3PbphdVLWDOw5ai8+/fhtNkK6QWdIrqwzY1cS7N8HKf5SuYO123PxbS2cJQuG+HazOiEKAJFv7XIcFwXkYCsLrIj47jomT96F78Q+hp08Ib23vxR4z08bkt4AIAv2Ik63dOimz7ktZc9Fk1hGtlcU3wE6wSJEiND7oLXoYkGts5orqI0V35kOd3W6Zcc8P5v3temdM21iWTOGgnl8O5SKLYVbNqkRGKuTRBtaNSJ+EszudPytNbzImfOJz/eTx4IHXLIe33GMJWNMx96pEDs6vWCVl9k7fG4ySwLn2nnptmHVC5AkdpNGPU3qW+e6bsIhXKJWJ6NJ+7vdD4rvvGJ/5yRT7Dvi1C80nsdJUcSiIKAkGIwwrt9BhZn9tnHRX2cboSnEk4/Vbj+ceCGw42WNH8CEWxYBWL4tNgJ5fGsNrE46rAbpJag69ZxzsToh94UVbtnU6oQovk2TBGO06fHttejwa3fitDrpmMd3A6sT50LmZbsma7cPzBdwaL5Q+9lZDDtBFd9hBuCoOtsS54UJsumxUKi0Y3YSRxeLtYujJHBMqFArYC2RHIrvssZ0Kwhia1YnI4UDtdsLie2tnCYDqgBz9fg26WfXWh+nLPEoWDbxrZeCL+QitIfXL/47khz5Tl/9B8Dbvg2kJr0ftArZoV7yveFIiW9uuWe6pSLiO0KEwYKz+9BZwxWVJopvcu1WdDM0Gz/7fOqzYwzTwrMnm5NkedjnrpopyAHI63isfeKb1t+FZlYn7aiIieWUZHWn42+tofggvp/w6QVPcTJLrU5k8DznqO+74PNNulYVxADJn6UYx3FIuozTXiW+YzIb3q6qpwvx7bQ6sddvumnh8II959EOaplRfPcm8U1rRMGU+o449QuZzLkGZ4aW29YLYEWc/fX5RVYnA4bU4pO126fSu5s/gLRHiZyJBBT/iu8AVidOEpOCKjnb9W7uddCLWUzofLilqpuMwsbN6oQWPOPimXjXee+CLMrYMbyjrdemF92NI4naYum4z4BLZ/ssfW/a3SD5wCUfwGJ5EVk1i40ptiOCtVhhp8jNY0mcOZXC87OVAME7np3FDRMVgpSS2VOZ+lY8WhjPh0l8+9x5HSfBppphIafo7S2kmoASzkMkfKVV0NbRslYpIqrPmS1pgGn/XiSKb9/hlqaBkdKR2o8rQ9vaOl+gsdWJYVqgew+t+p/HxYrHdxV6KYfONtlGcGLEtD0LD77ok9j+8vf6fixVfAOVDcckCXTyBEN8r/SM4tsZvhohQoT+hpOoPrZUxK5pm5AqOLrznHB2v+UVHWNe9ostwKuLcO9MFhc2sbHIwULVJ6ysDwezOnGEsrVC4NAaoayZME2L6TLMKVTx3Q7xbV9nREvrig/1WsOLnKEijOdWAy6D2NTMOsItgUqGz4mV8urvO6/43re8B3++cT0ypon1OodPBXhsPCbU5eQkXL63vQApxhLfilbwOHKwwAbfcxhOSBB5riaW2Tdnh9hTxXeczEnlHg23zJPPkDdikOO9uenSLmKCTXybnMUInfod/Wx10pszXYTWYFmYyj9V+zE/dn7zxzgWpmmUfCcBh2V10ii0btDQbLKg5GAYbUrUBwxgyc8qaGvqMLcLv3vpdW2/rmFaDCG7Y3KoRny7taW6wenxTa8Z7RLfbzjjDd6vq9nPHXdJm77m7Kka8X37s3O44UUV4ruZ4puGW86FGIBD25AbkcvDCQkCz9XarRbyakeJb0o4h7GjT+cJoLJJNrq6kZMt6wBRfPO8/Rn6VnwvHYJoVRaZpsWhkNrW3gmD3Thxhls6N7b8bAw8Of8kbj96OzKxDLYPb8fVm66GLPEM8W2W/IV6RQgPaatQ81jnNl4S6LFO4tu/4nuqdnMMORSK/oODO4kgG+IRIkTofTivVc4ajhEpuFidDMVEcBxqG725suYqwmgV9HyGYgIKq+fzZDOfb8vCf56YQ44zkeN5/LE23XK4pSyytni+n8MhBCppBlOTh6X4fkIwcSqVhAoOxeIiDNPylSvSz2BEIaSWP3M6hZjIQ20h4NI0LTbccniV+M7EAVTGG10LdAp5ZRaHYpXxkFODEWpunQluKvBeQExKgrcsmKtrpdNF8a06FN8cx2E8FavZ6OybtYlvJtyyDxTfOZ2I34w4890cJMQkIkjiLCbTqd+hNsmr62X019lGaIzlw0ga9kXBmL6g+WOkOCDYBWiaK7bm8R3I6oQtjFMy8ZXWTd/Eez+i2WQRE8NVfNMQw4QkuAaYJJlwnXA2HpwKoZ2Ttk+bH6sT3TCZ9yoRE5nFQFkzmR3xMFFS7ed1jlUAeNlZtn3BfQcWagQ99fWjJHcVVPGtGiaTyt0OGC840Xshw/McowxYCDFg0w30e9xK6JMTKcdnQTsZnFYnPKP49jmfzD9Xu3ncmoAUH2rxTG3QBQYdVwDq/N5EH4vmx+cex788/i/41EOfwn8/898AKgvuvEVa6sqnx8KgV6AoJcbmJJmZaHB0PURehMAR1Z/fUGGi+OY5C2Z+tsHB3UNkdRIhwmChXvHN1nDUem7IpcbkeY65foft801rypedbW8I7p1psgmslbBdLeMCRcWLSmXkjdFgHt/k+t5qOKDTYsJpiRaWx/c3uBX80eQE/mRyHLND8wOlPvSCl+JbEnjs3mBfm/7t7oPwi4WCytRuVZHLdKYzVoZeKKnLtdsJMxiV42Zr0qvhlnJMxCsLZbwmX8Abc3nErcHerKmC5v9UbRCpzzed80aox7dIxXO9yaXkiI2qaSYG2OrE7tzUOIv5TPsdkdVJhN7AzGO1m4fMaYyOT3kfSyFngOI8AGAYhZY8vtOOdiQnWKsT9kuSclFyyqnevAi3C1Wvv5hRMOGWIRC7TLClh8KGFkFuHoOtwEk27pyyiW8/iu+i4/FDMaFOHV1QDAwnw59wKfnvpoy4fNsYUrKIvKJD1U3cd2AeLz97mm1/dFF8DyckxAS+RujP5RSmYGkVqs9wS6Di8T6/SngvdDjgkiq+nSFQrYDnudr7DrALwmxJZ6xOON4eP76tTgjxvc/aUOff2QpYqxP2u+Xc/fcTbuk253IchxJvF1iWEim+u4nc8gLoNldqJHiIqyzIKK6qYBTD56I5loQiDEE2VttGe4T4/sVdv4hLpi9BVslix0h7dlkRIkRYe6iOa9Uxh11dsYE9XBXpuFjr6AyT+FZ1EydJ7fWqc6dx0+OVkOFnTmShGyZEr7rIca3MIhlIfUiJ71ZrnLgoMGp4Z8Bllggk2lF8y7wIVEshXoNmmKEIEnoZSoNMpV+9fAsePbIMAPjenhm87aqtuHxb82s3VXPTEHsaXt8NxXdJs7sZZCvYuHD73HuV+JYEHh+fLSDDrc45YqLxAwYEbp28lPimNokjxAKJfra+1z5dRs5Uax2ShpkM1GXTT4gRy0Kds0LLbesFeOUn9AP662wjNMbMo7WbT1rbmR3ohiABl2nOv9XJH73gj/DnL/5zfOTyj2DX6K6Gx5YYMpEtjJNSpfCrYpADLpv5MYft8b1Y9EN8UzuGcHaInd5iZwRUfDuL/0RMqFMSUe/DMEFJe7diUBJ4vORMW9V5+zNzAJwe3/XEN8c5A3DCUYU4Q1AaYZwGXOY7TXxTxXc4lxomD0BhFd9a9kKUT12Hl4y+BzuSl7meR0PMUeJ7Y0tBVU4kmG4K9jw0x+6/n7ZjLzWtQonvSPHdVRRWFmq3NUtAIhlc5UztTnwT3wBKMXseEotzgV+3E9g5shPXbr0Wv7DrF3Dx1MVrfToRIkRoE4EU37L7dTPlce1uFydXyjUSiOMqVnTVvAxFN7F/roEncNkmDxVLhIJYMKuTWPuKb57nmFojWxfcTaxO2vD4jvFEGMAZdR1ngwjWWpL9fH7h0k04b6N9rf7/vr8Xpo/3hAZXUoFLtxXfZd22upADprr0k9WJJHBQ6N+nd/697QW4revo+o1idIhanfSB4tuy5zTVGDo9FN88OtalvhboZ4/v/jrbCA1hEsX34+Z2V9WpK0jAZRpF375QL9z4Qrx+5+vx1nPfinVD6zyPsyzLYXXCXmCrSs4qwm6D7BVYluVoD2kcbulXed8Ii8TOwov4pguVpfI8vvDEF/C5xz6Hf338X1t+XbrTLPActk3YF4DFgtrUUoUupASeQ0zgIQo8U7AVlNYu6nsX9uJP7v0TfPrhT+Nbz3+r7vd0rHqRn9ecZXdT3P7sLCzLYj2+XaxOAGDC4fMdBugGSbOWo3GiGFgsdLaApISzHFJRzeQBkHkiV9ZhFM6CtvgSXDV1PTYP2RtxrVid7Lc2hEN8S97Ed53ViR/i28M/WeFtWxZOzSNC91DK2sR3nhsC50O574QstkZ8Kwnbdimm9AbxHSFChMFCII9vT8W3Tc7kQxQtUPX5VFpGJi7hTNJh+OTxBj7fhPjOolKjBgu3JIrvNuqFreP29fu+/fb1xLIsh+K79SZtmVhaWpw+UOpDL9A1lPNzFXgOH79+d+3nJ49n8Y2HjzV9TsbSkJDdVOwy2wXFd9m0N3Rilk+R2yr6yeokJvCnHfFtWRYjjKl2h0+m3D/n4QSxOpEo8b12ROt3Hj2Ov/zB0zi5Uv9duFg1cEWpjHMVBZo+Orge3zFqdVK/5utnNJpbex39dbYRvGFZjNXJE9YORl3aECSYMs0VGVVyGFB0kwkmdLvApuXOqEF6Cc5Cs5nHt7O9tBVQq5NxH4rvFW0Of//I3+Of9vwTvvLUV1p+XbrTLIs8ptJxxsP4eBO7E2YhJdk2J0PMOGlt8bR/eT+++fw38aUnv4RvP//thq/tVQy+lPh8H1sq4blT+ZqFCOCu+AbqAy7DAOPx3YQ8pWNgvtOKb3JhDKulli6ec4zVCbs4pK/nK9zSsoD5Z2s/7jM3hLIQoN8tZxeDk0wIanUyLNudOqpI/MhPk/CfXoGSX6rdznOpBkd6o1XFt06I70R5vqXXjhAhQoRGcIowFgsqI06gFnmeiu8OiVuOkQ7CTaMVouFc4t/cyOf7vpMP4g0b1+Ot66fxyfGKdVgwqxPe9XZQvPIcW0hx81Mna7dLmsF4cafbsTohxDdOE8W30iRT6fJtY3j9hRtqP//1j59h6ko3eIXY09r+VLYSXt9JlAx73EucT5HbKtxs/Lw2rNYakshDsU4v4tswLcbKpJnim4ZbUsulsmZ0fBy64fFjy/jA/zyGf77rAP7iB0/X/f6jiyv4wslZ/M/MKRilrX3nEe0XMcleD6gcB21A5lzLsti8OhcRZy9jMEfb6YilQ+CV5dqPR2Nn+iebWlR8+4WbbYUTKQ8l5yDBuaHg7vEdcrhlQI9vVbM/hyAEjBOMv7MkQOA5rB+xi7NjTexOSh52I6zVRWuKb0Y1SzZ9mr02xXQmzoTjfOPho8zmjlu4JQCH1Uk4qhDVxQvOC5T4Xuywx7eisZsfYcBr8cwGQEnMItSX4js/y6i/9lkbQyHrWY9v9jyoxzfHodae3Qg5QmpTxbcm2MQ3Hym+uwotv1i7XRK6S3xbJOAypS00ODJChAgRWoObGIZa1hWV5orvTtX4VESxcaTi/3veBntTeO+Mt+J7vnAKB2IS9sRlHFi9VgezOrH/JjcVrV+86ly7Y/bhw0s1EUW2xL5P6TYU33FCfJu8Ecr6otfhJ4Dtf7/m7Fq9OJ9X8dnb9jV8Ti/im94uaUbHBVwly64TJAQLYne1OulRxbck8HgkIeGmoSS+nRrC0fzxtT6ljsMZPCu6hFtSjCbdFd+mVf9c3cADB+ya+OkTjo1H02CyFVaQDK0juNcgx+zvpcZxULXO2LN2G856oN+sTnpziy9CcJx4rHbzoDmN5GiAgC2iHMxwxdB9oZyEj9tFNxWCkrfX4VTNuE0WlAzXwrA6ocS3x24xXaiUNR5YzQ5pj/gm/s6rf+emkSSOLlYWKYEU36Qgo2qifIuLJy/ysAq6UdPI7uKas6ZqaqJvPWIXY2lZZJTpFLRVLTzFN/GCa3IBomNgocNWJ0pHFN8eHt9kgZiJi8iWAga8EJuTBSuNZaRD9/h2bgDSglTyaY/h5fGtSylg9SslaO7E98xyCQ8eWsQrzplm5tsI7cEo2orvstg45NkLv3XRb6GoFxEX4jh/4nzfj+NStlIwrS82OLJ7+M2f/CbiYhyZWAbvv/j9mEhMNH9QhAgRehZutnvHlorYNV2Z7xjFtweBlukQ8U1tVzaOVopXKkp4aiYL07TAu2ws5xR77pbMyvkF2aR/+dlT+MRqYPmrd3vbPTbDeRszWD8cx4mVMkwLuO3pWbzp8s3Mhr4s8m3VUXRz1eKMNSHEug3FRzv+hpEE3vfSM/C3P6nUgP92z0H88uWbsWPSfRObsTohQpaxZAwiz9Xe11NZpS2FfjOUYK/tRD4Y8d1PVieSwOG/xjjsi1fqiL/KHsDmNT6nTqOOWKwpvt2Jbzq3OjfuFN1sKogKG/tm7TWIM7OgLlDYSvadVYZfpOKjuKZQhGxZiFkWNL3zFkjdgB8uq5cRrX4HBY5gS5ow3RQ03BL+rE6eWXwGn3v0c8jIGWxKb8L7Lnyf57GUxJQEznUSTlH/vwFVfDsVFu7Ed+cU315WJ5RMVlR7cWBYBnRTh8gHnyaYgnO1WK8uSoB6j0gnaBgqJeYpYVdoUVHhRR7ar+3tR09xzdmT+OztFXUIfZ+nGoTK0t/N5dfA43vIfv2uhluGdGGkCwlaUOXKGvjEYUjpx/Hf+x+AjHUAttadhyeozYm1EUA4CwHW45sdrzrx8POj9gYcY5d0K+gkREXQ6sO8ypqBN3zuHszlFLz87Cn82w2X+3q9CM1hlpZrt7UWie+Xb3l5S48Th9fXbo+ai7Asq2YLtRZQDRU/Pf7T2s/vvfC9a3YuESJECAduawJawzFCBY9N1U6JW44v2x7fm1ZrTGp1klN0HF0qMj7atfMg19NWiO+NIwnc/b+vwWxWwXkbh5s/wAMcx+GV50zjK/cfBgDc/NSpCvFdYjvZ2oFEiG+TM2GYp5niu8Hn+p6X7sDXHjqK48slaIaFP7/paXzRo0aiiu91w/Y6m+cr4fUnVj2NZ7NlnDHVWgeYHxRhjw2RDxao3U+K75jAQ7A4AJUNBXVAyMNG0A2n4rsydidcxGuZuFj7PVBvuVTWjK4LXZ6ftcVlzq4V2lkLAHkMLvE9nJzEP8zaFoQ/7tGw0aDod+K7v842gjeYYMsdDcm3OlCrE67ky+rkeP447jh2B763/3u4+dDNDY/1o6BlQusG1OO7brJwISmpYlcJgfhmFN9D7mOCEstFhT2nVlXfZRebi2obKsC2ybqhoLiTz4zVRRjEt4vVSZEStg0UNhdtHmW81apotOlEFd+z2XCIb9bqpDHpNcEovrtIfIek+HZTjZU1A4puQpBPIjZ+D3589Nt4Lvsz1/PwxBwJtjQrZGIYim86dp3hlrS49RNsCXiHW5qSTbiKeh5w+Po9ezJX6zC4Z1/kBR0mOEJ863Lr5EcrkEds4nsCy2saZgSwcyvgvrEYIUKE/oJb9yElvqkIwUvxzeZzdEjxvVpjpuMSto3bm8FPHnf3+abdf4JRqY2C1ipT6XhbpHcVr9pt21b99Pk5FFWdtXBrw+YEAGTRrksNzjztwy0p4pKAP3rtObWfb31mFnc8O+t6LFV8TzuyfJiAy5A6Or1QBBVOBBt/bmM8jHq3E5AEHoJJs68Gn/h2it4ahVuOJFky3MkrdLsmtCwLzxPFd0ljbZWWs8fxk2QCD8RlPCKlYIIPZC/VVxDZz8vUG/Me/QLnRni/bVz019lGcIdlMVYnT1rb6y7IDUHDLVH0NVF6ETBuoFYnnonvVA3Sh4pvy7KaWlcoDoLSTZnHeHzr4YZb+vH4LnWA+K4WWZsYxXex7jEURQ+f7VAU303Gbtmn4lvgOVx95mTd/dMNFd/297Ijiu9mVicOj2+zg+2urM975zy+q/9blv073bLHva9wS2J1sn9V1ai39AABAABJREFU8R0GWU/HrqKbTKAUbTUWfSi+NVNDUbe/NyzxbavZBEuvCwBaJsox1TDXJPBmUMETsteMdZf4jo/awVyT3Aqypc5uZjUDnVtFXkRCTDQ4OkKECP0Ad8W3fS1irel8KL5DqvF1w8TJFZsIq4ZbAsDujc19vnMaqUPNSt22Vov4K7aP19ZBim7irufmWQu3NhXfTuLbqSodRPhVfAPAa89fhxdsty1CP3HjU9Ad414zTMYicNohcmEDLjtL0F6k6HhBqYxzFBUxMZidWF9ZnYg8eItk9pwGim+nSK5qhTjqsoYfdYivRIFn1hOKn/VPiJjLKXUbm/TnfYvP4oPTk3j3+mn83roRAMEChfsKgoP4Vgdj7NLxyXH+1q+9hAEdbacZlg4y7SNPmtsx7RGu5wqi+Pbr8d1MNUtBW/y9Lq6dSnzvFt715Ydw+Z//BH/yvb2ex/gJWqHFWbtWJ4ZpYanow+qELFRKKjuBKS0maCsupCe1Omnm8c1anVCPb3eP5yBoanWi+fP4Bip2J0402nSi4ZbLRS0UP326KG0abkkUA4Zp1fuvhYhOKL6ZzpDVc6/9DaZdABqE+A7q8R2m1YmTBKDvCV1UiT48+PKO0Eo671rOOdhx7DKZB6w1CrwZVIgqIVUSI119bXnUVnwnOQX5nHeQWzfgnFvX0nYlQoQI4cCtFq0qrS3LYj2+5e51dZ7KKcy1jHYVUp/vJ2c8FN9UgWfEIfCcr2txJxATeVxztp3ZcMtTpxyK7/aI7xjZhDQ4i7FaG1SoAWwAOY7Dx68/F1UOZ/9cAT87xOZmzOcVppnO2VlNRS+dVnx/Yn4RXzw5i6/NnMRwbGegx7rVtl4bVmsNSeBY4lvr7PvaC6BzmsBztXwCSeDriO7hZP26nq63fK1/QgRVe1eRo7aUJbvjNGFW/q5+Uwz7hiBCB/mutZGb1ktwcln9Vuf35kwXIRiIzckBcx1ySDLK0qYgHt8ZFF2DbJxoRh5SlH0QiSmP0Lp+wPHlEm57ptIW958PHMbHrz/XdSLwo8xlwi3bJL6XiypTpHmGW5KFimXxEHkRuln5DFpVfFNCt9rGtJmocWZzChTd8Gxx8lIQhTFOmo1d+trNyM+rz5wEx8FRDHt/95webfN5lVmstYI6j+/b/wK497OAS1tVJjWNV4tvxo/0S2uv72yVCwt+goWCIu2SBdBM8d3U6kTJAVk7nHS/VVHRhm11AlTGVnXzhg23bF44jMZH8ejbHkVOzSGrZpEkvt6QkjAtDjy3+pxKFhiyVUArJXaDYy0CbwYVkma3y/MtEt/ffv7buP/E/VAMBa/Y8gpcv/N6X4/jkuPQwUNcbXsuLx4HNrYestYugtQFESJE6A+4h1tW6ouyZjL1j2dXZwfCLamAYnwoxtRr520giu/jK675Bzlim2CaiTUnYK49dxrf2zMDALj1mVPYMmZf49tVfF8xcjb++/hJSJaFGWP9abH5TdchMR92Crs3DOPqXZO449k5AMDtz8zihTvtOoranAwnpDpBB1WAd1TxbWiImfbz61KwbBE3IUove3zzFumcPM2sTpz2leMpGUtFu553EuFAZb1VbSgOQ1wVBPtciG/auZIv24HCslH5XPvNIzoIbk+moHMaVI5DuTwYNpNKgE6aXkT/nXEfwrKsUIIKPeGwOQEa2y3UgVqdcOFbnfghEvtZ8U13MzXD8nz/VF/EN/Uya2/MUJsTSeAYOxmKIcdCJcbbY6d1q5N6xfe64Tgovzez7F3AeAVMpmLtt8syY9elW8HPRk0V4ykZF24aYe6batBtIYsC4wvezB7HD6glzpg+B9z5SUArAJZZ94/LncCHpf+pHb8Qkt2KGzqv+K58/rUAKKL41kx77Cu62djSZf752s2iJeO4NQ4gHOJbFnnQtTYd17TVWPDp8S3yIkbjo9ia2cos4uWYiDzIhoviVHyzxLefzc0I/hA3iE9scqSl59i7sBc/OPgD3HrkVjy39FzzB1TBC1jmbIJHWznZ0uuHhRXFVpw36wSLECFCf8Ctpl0sqCgoOqP2BrwV3ymZbFqHFG7pFmxZBVV8LxRUhrSsnYdFa/ehNSe+X3bWZI3oWi5quI34TLfr8T2SGMN5qoqzNA2bdf20szrx+9m+nKjuq4KmKqitjtsamyrAw8rwcUWZ7WDQA24y95XVicCDY4jvtbVz6wYY4ptnx61TPDXisiFG11vd9vimwZZVUI4kqyzXbsfMynkOrMc3gE9MpPHhqQn88eQ4FpQTa306oYByU2t9zWwF/XfGfYTv75nBu7/8IC7/81vx+Tv2d+6FZh6t3XzCrBDfjQL26kDDLf16fAeyOmnumUzb+MJMfO8GSo7QOufPVfjxm2OI7zYvWJT4Hk3GPNtR4hJLzsV4+8Iapse3JPCMDUgju5OCh9UJVXy37PEdouIbAK45a4r5uZm/Phtw2b56gRZJmwtPNj1+qzUDEZX3brGDAZdluugIifhONbI6sSjxzY7bhnMasTk5YK2HtXpZDOOCznEcQ6AXNXvMaqZ3cRsUcYlHHmThr7DFJ7U8ArqvAhlkJAx7kyGWGmtwpDdkofXNxmXefk0je6ql1w8LkeI7QoTBg5dw5/hyCUUSRM5xQNyDxOiE4vvYIgm2dBDf4ykZ64ftWszN5ztnkeuxkVpzAiYdl3AVURjvObpcu92u4huCXdfL0E4Pq5MWlIm0nt8/V8CRBXtzZTZHie/6Op8Nt+ygMplsMJsWB8SGGhxcDzdRR7KHwy1hnm7EN+kGdYzbcUfApVvHLl27NO14DRmuim9CfOeJ8ExYFSv1I3nqFxLZX9QHJdzSh21vLyOyOukg9s3m8ZOnKzvGjx9b7syLWBZwYk/txyesHQBYL+GmIMR1CiVoevOiNLI6seEMzyt7kEoqE27pPlnIIXp8+wm2BCrkXFISUFglfMUwiG/yHtCF0KbRBE6sqiaoWscJlny2xwb1+G7FJ1IzNMTFOFRThWmZTT2+/bT/XXP2JP72JzZ52qzbYjIt13zQwgi4pLuvGyjxffbrgFd9onLb0IHPvQCABQEmNnLzOGytw3wniW/NwA3Cj/Bm4VZsuIsDHmj/cnOZbuLOWGX88GUO+PsEXlrWcWdMxT6BwwdQee+10jzeJ3wP/2y8DiZ4lDXDexODCbas2JzEJb7mq9cukjGhNp7puDZIcSv6VHx7QRYFFKwEUH0ah8f3ikPxrXTZ92+QkbLs91pOd5/4zonjgFHZWLdya6v4jojvCBEGD14ijGNLRawftgnnpCR4XjeZGr+su1qPBMXxZZtIoMGWVezekKnVm08ez+IV50wzv8/CRPWiqRhpyPLaL+KvPXcadz03V3d/ux7fIOGWMqedForvVlryN48lceZUqlaj3/bMKdzwooqgjNqXuInL2HBLJZQx7oaF7FHsSSaQNk2IegyiEKy2dq7DYwK/Zt72zSAJHDhiY6gY/SWMawVM/o9jPp2sI77r5wU61rut+HYnvu21ek6zfy8YFa5hrTccOwnJsj8/3RxA4rsPNy0i4ruDuGjzSO32nmPuHnNtwxFsudfchpFkvfdYQxCPb4GzIGqFpg8JssANanUSVuJ7t+AkkTwV3z6CVighrrVZmC4QUnPcw9+7iqQs1ojvj13yz7hkywTiYpxRfwcBfU9oYvPGkQQeRMXj61gDxbeX1Qm1a2lF8S0JEn76Kz+tBDJpBSSl+sUSfW0/36PzNgxj94YM9s5ksX1iyHUBRkGL41CsTsi4Wp97wv7F9quBsR32z8ObgZUjlV9xJ3HYWofFfOeI76Qyhz8W/x9EzgSKqPxrEzEAW+lXZwlIA0jzgMZJACphf4pl4iPSV/Ei/gn8rvZ+lDQDo15POvds7eY+Mzx/7yronFemVidEcSX4UHwbpgGecw8Saab4XnZ4fLdro9QuvvXIMdy7fwHvfsl2nL2ufwlSyzSRtgq1DYdkZryl52mH+C7ExoDVh/DF2cYHdxg51R53EfEdIcJgwKsWPbZUwjBRIic97PQAVvGtmxbKmtm2vQKtId2yUnZvGK6Jj9wU35eVVSxyFnI8jyVjtCeUh9eeM42Pfqe+cy+TaHO5LtrXGBnqaeHx3SpB8/Kzp2rE963PzBLi2742rxuuF7hQFXhJM5BT9PY3LFywd/5J/O70JABgs2riuoDCCef3Li6t/bj3Asdx4AhVpZiDT3yrhrdIzml1Mto03LJ7iu+lgop5lzVllqw/chpZCJqV75Dcw+OvXcRAiO9BVHz3wDUzKCLiu4O4YJNNKM/lFJzMlhl1RCggNif7zfXIIYmzgticAIziGwDiRhGGaUFooHikPsnD8rDncYA/q5NUB9ogu4U6xbeHmtKP3xxLfIep+G6sQh6KCahqTAQr0/QzbQZG8S1RxbdNCjeyOvEaM1Tx3U5nAMdxSMVSdfdbluVQfDefInmew3+88wW4Z/8CXrRzvOH3BmC7McJIfq8uSmPQMJF7xv7FpsvYA8d31IjvbVxFGbpQ6JwP4agyUyG9uwTZsl9L4XlYAF4s7MWN/P+BeWQ9MHKN+wOJ4nuftRFAuMR3UrLHEB3XTDujj4XLF5/8Ij6/5/PIxDK4bsd1+PDlH679ThYF5CxKfLMekMtOq5M1VHwfnC/g97++B6YFHF4o4OvvfeGanUu7KOSXkeLsz3Eo05riO07UeIoe7DtZlieBVb5ZKtYrBbuJZvkJESJE6D/Q2nV8KFYTVRxbKmHbuG2zMNSAyE7LLAGYU7S2iW+q+HYnvu05aO8Me02EoeFvTtnWUFepGzDRA8rDdcNxXLhpGHuOsUR9uwTqCS2HD26Yhspx0MHhfWu8+d0NMAHrARTN15w9hX++6wAA4IEDiygoOoZkkVF8u1mdjCVjEHmutqkwm1U6QnznSou127LJ+6ofKZzfOz/rnLUET2wMVWvwiW+6NnASi06rk2GPcMsquqn43jdXr/YGWE4nZ9hztmVU5uxe2HDsFCqK78rnqQ9IMGu/h1v29mzX5xhPydg4kqgVZ3uOLneA+H6sdrMabDkVJNgSAMQYLDEBbnU3Ks0VoeqN1RitW514JL63aWGxlqjz+PbYYfXn8W0XMO1esCjxPd7A6gRg7USKavvvPxNuSf5W6sPoV/FNScgwPL4bQTMsGEQJ45cAHU/JeP2FG3wdS1skwwjAqW6QnMMdhlANdRRkYPp89sCxHcCBOwAAW7nKgm+hg4rvId1O7y6lNiPx859t+zk1w8I7vvSz2s//8CsX4/t7ZnDL06egGUUA36r9TuUA2QLWc4uwvv2LQOETwJXvA2Nob2jA4oHajzWrkxCDfuhzFcncQMeZs53RDVklC93UsVherCNH4xKPQqNwS4fiey09vh85vITqn/7cKfdCuV9QWF4A3T5Lj054HtsIMaF1eyk1MVm7La9xavxofBRb0luQVbMYlT17LCJEiNBHoCKMHZNDhPguMvViIwItLvEQeK523cuXdUylWz8n07QY8cSmsfq11XkbbQHH8eUSlgoqRqu1sCMgMIcENvbIIv7ac6frie82Pb4tIYa9sr02VH1YWvY7mBC2AKrSS7eOIhMXkS3rUA0T9+ybx6t2r2PqdTerE57nMJmWa/Y6s9kyzpiqF9i0i3zZrq1lU4AYMCPGua7xY+m4lthW2IAPKD9DzLIgrD9zrU+n42hkdTLhtDpxmRfkNQq3dLM5AViP7xzJXzLNihBukK1ORPAAKustwxwM4ls17PVj5PEdoQ4Xbh62ie9jK3j1eevDfYETj9VuthRsuQpLTtvEN5oT31PJKQicgKyaRTrWuHqlhXEi5v4lSZNdcVU3oehG30yGTk9vr9aiRu1LVcRC9Phe8OnxDbBKnaKHVUsQKB7BhlSVQ9U6TtAQQKryppY4negMcG5idCLpfAN5D/a5JGAHRXVD5WJ+H3mRiwDR8ZmP7azd3N4FxfeQbi/ctNQmJHa8rO3nlAA8zJdr42th6io8Ju3DveYMgCLS+BZEXoQsyPgU/3Z8WP9PSJwBztKBH/8hcOQ+YNfP2U9YXADMyjiywOOQtQ5A2Ipv+7lKKg3TosVt8+KhUaCwLArIWw2sThwe3+0G57YDqgrJlbWO+WB2A4Xsgn3bimNIas0aKi4QxXdA4ttM2mFcSXVtie/fu+z38HuX/d6ankOECBHCBa3ntk8M4cFDtl1dgYRbDsne102O45COi7VrUbv123xeYWpqN8X3+uE4RpMSllZfc+9MFi8+c3VzkgQEGhaHAuI903L/qt3r8Kmbn2Puo1YxrSDm6HBU9f7edPYDNoTNf00nCTyu3jWJGx8/AQC4/dlZvGr3Opxiwi3dBWZTmbhNfIfQ0emGnGqPXckQgyu+HfVtJ9Y5YUK2MrhAqaxnV06DYHatAVfgtC11tTqhiu8uWp087yFkyZbsuT5vasDq6WlGhfjuR9WwX0iE+Natzq23u4nI6iRCQ1ywaQQ/eKJCMoUecGlZwAwJtjQrfr7NwvVcER8GChUvvDRXXFUEeisMvn7918lpNPaKY20r3IdcylHUFZT+Ib6dZKkn8e1jsoiFanViT7LNiG/qzVgIgfim7wFtY9pEFN8ns2XohukaqlIkiylalFHiW9FNaIbpuYnghqJWhGZqSEkpCHz9+HKq9cMkQKs4n6iQDi0UsVLUXNvV/KK6+GOI702X1x84bhPfNauTDiq+U+Zy7baZaM372A3puARlNRQ0r2j2AtpM4IM7v413vvgMAMCLP3kbHi7uwOdi/4D13Gpr6NPfq/xzQWFoE9Ry5XMIlfj22FSiHpt+wi0bddnEJR4r1OObhFuaplVvdbKWxDdRhZhWZb5JNfCG7WWUCfGd41IYanBsI7Sj+LZSNvGd0hcaHBkhQoQIwaEyim+bQD22VPKt+AYq9VuV+G43xP4YEU4MJyRGPFMFx3HYvWEYd++rbAg+P5uziW+SjZRDEhb4nllznDmVwtbxJA4v2H647VpmyDIrUFKV04z4DkjQvPzsKZv4fmYOZc1gBARuVicAMM0EXHZG4UmzNARTCrQGAtysTnpj3HvB4GNA9aMMWB/1IxrZIPoJt1wzxTcRtUxn5Jonfo4qvi17DaQYlTlpkK1ORAgAKn+/YQ7G2GXn1d6eO9wwuKOtR3DhppHa7cePrcAMM1Bk8QCjWthrbQXgfUFuBC5uEykZFANNls3UeqzVifuXJCkJjANBPwVcOoluL6sTLWi4pd5muGXev9UJVXx///jf4oX//UJc+pVL8eW9X27ptel7Qj2+qdrZMK2aMsIJZrOEPH5Idm6QBBsn3973bbz4qy/GxV+5GB+640Mur2s/n8BzgZUUfrB5LMEEQj3pEroUBNVxdTH3vH2n098bYIIuN3FzEKEzdjhhI20s2z8MhUd8Z8gmWbask+AUDiNJe+6LSwIesXbhOuUvsDDd3Ed6duTC2u0wFTD0uejcwBLfARXfdcS34Ai3tI/Nqzqcl521JL73O9ohaVHcb1ALdstxkW+V9m4v3JJPr6vdThsrgDn4iqgIESJ0D7R23T5hz3OLBZUJ6G6k+AbYzs525/1mwZZV0PUQrXdmV47g9mQCD8VlPCVW/qZeIWA4jsOrzp1m7ms33FJ2dObq2uAT39TSLSjx/dJdk7U16clsGXc8ywZH06weCmo1eioEK0M35NRC7TZnxHzVjxTxOsV3bwsPTFIfIWAGSj+ikeJ740gCu6Yrm48Xbh5h1pJVyGuk+N53yt6QuWSLbXVHrU4+tVTAv5w4hb85NQezXLGW7JV5txOQYH/XdLNz6+1ugvH4jqxOIjhx/qZhcFxFnJ0r6zi0UGAUE22B2Jwc5Tcij0rbyJTHBbkRuLitQs1wwYjvZqAkphehxPMcUjGx5u+d7QAZUrVQcVOGtAO/4ZZ+AgGkEK1OFgNYnVCljmIoNUVBUBKm9hzU45sUWXFJwGRari2Wji+XsHksWfd4LxWRUxmaV3SMuLR6eaFKHlqwIPH144AJtpSEjlgwcByHCzYN46fPV1RIjx9bwYvOaM0bGKhskExgBVt4Emznpvge3QZwPGCZEDkTm7g5HC6ubxpk2wosy8KwRTw0k5PeBweEMwiXzhX0u13dZFtEBve/8F9xXelG4Lkf1axNGIxsxQOptwH7K4pZ58KgHSQYqxNCfDfw8XNDo+BAWeRRsNw9vleK9XPpWnl8q7qJw4tF5r5sScf69rJ01wxa3ia+y0LrhrXtEN+xEZsg4WEChTmAkOERIkSI0A6owmvTaAKSwNVUiTSnoZniO+3YtG4HjL/3qDfxPUoUkUuk8+mRhSfxB9OVumRHGcDB3iJgrj13Hf71pwcBVGJJ2lV8SxK77tQGnPjWDZPZ8A/62Y6nZFy0eQSPHlkGAPzXz47WfjeRinmqrKdphk+uQ4pvndRQZjywQEcSeOY7nOxAZ2uYMHl7jcedBopv3fDuBuV5Dl/9jatw3/4FvPiMCdc1apxYNpW7JHLJKzpmiJDtki2j+OGTlc7iWleuZeHs/DKwqvr+S6Oy7pV7fPy1A5EQ34Y1GMQ3k53QQ9dMv4iI7w4jJYvYOZmqtXc/fmwlPOJ75tHazSdWgy2BisdYYBAiJY1SqMQIa3XSIPU9bhPf7bZBOjGbK+O6f7gby0UV//iWS3GtQ03RDpxEt69wS0/FdzjhlpZlMUW+0xfMCfq5WKZdYJf11go3On6cE+PGkUSN+PYKuKTvId0sEXgOCUmo/T7oOGHIQ5dQVkpMhhlw6MT5G23i+4njy209l2aYuIjanKTXA5mN9QeKMjC8CVg+AqBid3LIXI+loloXmNIuFN3EOOz3mk+1Tuw7kWaIb43xj6NqcFr8lXQAV7638s8Di7fvA1AhvrtidWIEDLcMpPi2lRdOf29g7RTfhxYKTKgn0N+Kb7NoE9+K2DjkuRGSUhLD8jBkQcZYfCzYY1MjyFtxpLjVuTp/ak2Ib8M08MziM8jEMsjIGWRimb71bo8QIYINKsKISwI2jCRqNhzPEZXfUJOaKePYtG4Hx5Zs8m9jI+KbiD6WyLWQBgTGzMp594rVCVAJWLxi+xgeOLiI11+4oe3NeE6UEDMtqKu1hq4Xmjyiv6E6hEOteNG+/KypGvH90+dtYUmjHC2q+A4jvN4NOUL+mkYicLglUKlxNaPyHex1q5O52AreMjINheMwxuXxL2t9Qh1GszywsaEYrrvAOy+OzmPdUnzTTs6EJODs9bYQpCZOUgs10hsAslY13LL/yFO/EDn7mmdY/bvWoYg8viN4w9AAQ8OlG2Qcm60QKnsPn8Qbd482eaBPHLeJ74fVrbXbrXl8E+K7ieJ7RVnBQmmhtril/qRu8LK9cCIVF4FV14ewrU5uevxEjWz9wk8PhEp81ym+PTyy6cWs0x7fOUVnfMLGhhqPiaRMiW97WlCN1nYoyx6Kb6CySHns6DIAVrVTe03dZM7d2T6biou19zyo1UmjgEDAofjuYDF4gcMCqR2ohomLeYfNiRfhNLaDEN+nAFQ6AzpBfI9xxIcwFZ7iOy3bGzP5ss4Qp+m4CM3UoBoqZMkeQ16++xR00yNM4pu2kXp5fPvxaGxEfMsij5xHuOVSsf47vFbhlm6p750Iqe0WrPJy7bbmspHmF5dOX4q7f+Xulh6bjouYs4YJ8T3b+AEdwrKyjF+56VdqP9//5vsxJLVu/xJh8PDwww/jlltuwc9+9jM88MADmJmZgSzLKJc7o4yM0D5M02LqsZjAY9OoTXwfWrAJ1GSTrIYwrU5oOHojqxPqgUuzLnLKcu22VCW+eyTcEqiIPP7r16/EkcUito3Xd0W2ghgsqKgS38UmR/c3nDVOKwTNNWdP4W9uqYSM0iirRmtsKjw71SnFt6lg9WOEbiZ9ZcQ4kYgJta6LTop8woAu8ng8XnnPN7TZCd0P0JsQ383AWJ10qdZ/ntT2Z0ylGAuWWo1fZte6OSTBc/6EP/2K64yNeNfcU4hZFp7PuFiQ9iHo3NqPmxYR8d1JPPIfwE0fwicBfLJ6LXxs9V/IqAZbAt7eYw1BSMAMCoxVhRN3HL0Df3zPHwMALpm6BF9+TWMfaL+Kb2pjEbbi+yQJGXnqRBaWZYWmRnMS3V4km+Yn3DIkq5NF4u/NcXD1AaMYIuScaZLd4hbbyso63exg/1balnp8ub74doaFJiV2mkrJYm0TI68E281uRB46X7sTwZZVXLDJ9nY4tlTCYkFtakfjBc0wcTHXJNiyirGdwIE7ANgBl/N5BbumW7dpcIOiGRjj7PdayoRIfBPV2FJRY8JYP3Dvr+BE4RgA4BzxDwBUvMV9Ed8eXQbtgs55JWLhQ4vbZlYzuqmjoNkEg3PTJi4JKHiEWy6Xekfx7fT3Bjpja9UtcKSQN+S18WtJxyXMYhTbUdnIsnInsBbLCDq3CpyApBgOWRNhcPCJT3wC3/3ud9f6NCIEgGay1wpZ5LFpJIlqdxRt4Gmm+GasTkphWp14zzWjxApvqUBC1piAwMoxvbaIF3iO8VRvFzHyWQ068e2scVrxot29IcOE9FWxbthb8c1YnWSVUNeaVeQt3Sa+jaGW/ja6vul1qxOOt9/TwTCLaIxG4ZZ+QMVmftY+YWCfg/hmNzn1yveAdFyXLQkqJCTEzliK9grW8cO4SKmM2rk2c9t6Bf2u+O6/M45QB4vjsdfaBqDiZ9dSux7x+E5zpbo2MQq6wE3HmhNmflW0KTpRhkx80wCeXFnH0UV3i41W4FR8e1qdBA23NFqfJBeIv/doMtaUWKOfi2Gwft+toJHKn6pzZpbrFRFFjf3snSQks0ESUC3a1OqkQ+SnE+uH45gg9jNPHG9d9W3oOi7k99t3NCK+x3fWbm5fJb47EXBZVg2Mw15YSunOeHzPLLPfY1mw5xBRtD/LoMR3mB7fSY9wS8309vFzgi7SAXfFt5fVyYqL4nutPL5p6nsV7Xq9riUEci20XDpIuoHMquK7CnXl5Jqch3NTcZAXMxFaw1VXXYWPfexj+P73v4+TJ9dmnEYIBqdyVlpVfLshiMd3O4pvy7IYm7xGHt+eim+ykcwbVeK7twnAdnE6Ed91iu8WyGGO4/Dys6fq7vdrdVLSjNDXsgCQg/23KWa6RcW3/V3sdasTjrc3ttTToKxoZnXSDGuh+N43a685zphKMbZWhmmhqBp4dv5JvHn9NH5j3SQ+PlERJfUjcRoENJhVGJBwSz9cVi8jUnz3OzgBB876dRQeqxR+0634ewMs8Y1iQ1+oZqpZJxjf5AaEUlJyV0aGAUp8A8DemRVsCal90EmqeYVb+tkloxe5RpsPzRAk2BJgFyyGIaKax9ByuGWDVpipJuEvtENA5Lm694pan4RuddIlxTfHcTh/4zBuf7biG/jEsWW8dFdr5PBW4wiGuMrnZHECuPUXeR88ZneGbF21OlnIh38xVkpZyJy9sOWGwlR82wtZSnxzHBAXSZEh2GPD6ztJUe7QZ0/nPDq2DaKka9bqR8ctz/F1FhJxSUCehFtaSq6m+nXz+O4tq5P+VXxL5HPhEiNrcg7puIQ5y35tfeUkwjUu8odG4asRIgDARz7ykbU+hQgB4WYZsWnMnWh22tI54VQBtoqlosZsIjcOt3T3+HYGBAK9p/gOG5Jl1xm6Odj2QoojU4lv0U7hmrOm8N8k2BJovM4eS8Yg8lzNym42q7QdTOrEZxbzWNGLyPI8/qG8vkWPb/sxiSYbVmsNgbe/34NBHTaGbgSzQXRibYhvb8U3UOnsnM+fwBOrljXrhcrfOOhzrjWIxHefK757e7brd1z0ZuCc1wMA3vrFB/D0icrC8P9cdw5+/uJN4byGFMfdDy8Aj+0F0GKwJcCGW3JFnGwwWQZZ4FqWhSIhsRspQhKMJUC4k7WT+H7qRBavOd87HCIIfCu+9ea7uHT3TNXNltvkFgv23+uH+KYLFk0X2ia+Gym+qT/ebK7++Rny2UWJkJJb7wxotmlTJSZlqHht6Ubgx98P9PxB8Gvg8AAuRhHxtny+zzWftT+viXMRjzXY0BmzFd+buDmI0LGQDz+Ax8jZQUAmOPCJkHINwAZkUeI7LYuIC/b8R4lvr+8kBav2D+9izlqdeIRbNiluk2IS7zj3HciqWWimBp5jj5clF8W3ZQEc1zNWJ6ZpYb+L4rufPb5lnWxIJEdafh7LsrCirEAxFCiGgo2pjRB4f5svMZHHImd/v4zsqZbPox0E3RCPECFC78PZeVhRfLvXGIEU30rrG5402HIoJjS08qPEd0kzUNaMykYxCW43jcq1s5c8vjuBXRqPab0E2bKQEAdbOhsWOfOiMyYQE3hGiNTI45vnOUylZcysVMbXbLaMM6ZSLb9+HSwLu/PLgFU5n78yR1uyw0j2k+JbYBXfnbCP6SVojOK7961OypqBI4v2nHzmVAoxkUdc4muio2xJR660aJ+jWflODvqcaxExlmh2Juy224iI7wjekBKVfwC2btmKu09UQuUenBPw8yGGvc3mjtduT7fi7w2w4ZYo4Ugj4jvAAlc1TMYDsNEFlpKcTruLdjGfdyq+sx5HBkfJoSb1utD4CbeUHMWoblotXfio1cl4QMW3rguoSgZbIb4ty2LDLUUn8W2Tk8tFrbYQqaKZJ3yqDcU3tYxoZHXyfvE7eOvid4D7Aj19IFwN4FPSC/Cb2gfaIr4vgB1sqa27BA23vka3AhwPWCZEzsRmbg4LhR2NHtESzIJNfOcwhGEhvEsNXTxT7/5MQoJMdtd5niq+AxLfHbI68Qy3bKJGmkxO4vcv/33P38uigLxlLw44ywD0MiAlekbxfXy55Kq8z7oQ8/2CuGET+WJyrOXnKWgFvOR/XlL7+e5fuRvDATzDC7FxYHVocfnOWkjsn8tD4vm6jqmI+I4QYfBArxVpFPHUibuxUlaQSTxdd+x8XsejR0ZqP4/Jo9iatkU+43wBGeEkEFtCXhnCo0ea15dnjZyBpMgquh85dH/t9TeNxPHYUW/Ft8QnMQySebF4CklZw11mruaTbJiVuWzQrU7+IBvHxtJhAMC30q1fr/oBjF1ErIRHZx/FkDSEXaO7mONyag77lvc5H85g946FWo1uqJN1iu8Dywewoto1fHrkGITVnJWfnRSRyNh2KTE+ht0Tu5nHK4aCpxae8vmHFbGR5zC1er3PWkNNhRNuuObsKdy9bx48h5a7TbsFgeSFmBwHXS9Dkry/8/2Oaq5CCkXsXP4qHr3lvzyP3SCmMC2yHaDTx2bwC0MVXmiyIOPRW77d8PUukqfqNhIeLfsXUHBlEe/h5wFUcgm2Pv0MZp8s4RdTT9dEjIfuvQVPFR+vPSZWDRQe8Dn3Iczh79ZPQ+U4bNBn0cCItG+g1OZWC++5/5XAE5mKePYtXweGN67puflBRHx3CRduGsF/PlAhvh872jrJ5QYavDHVYCe6IWi4JVdoqAgMssB1BhU2sjqhZJMzMLId6IbJEMFAxeokLDhtYTyJbx9JuE6/JM0wW2p1ouGWvhTfhJxTdXLbCN6a47Roce7oOsNX53IKNo/ZhU2BdAgMuSiIqMdzkBBUzdBQ0m2FsBuxVB2vr+Yf9P287eC1ws9wlbEX92V3YzZbDtyxoRsmLiLBlvqGJqnRogwMbwKWK3PRVu5kR6xOrPx87fYyN4wwY/+o4p9uqqXjEmSREt/U47s50evXkikoaBspJdfZcMv2ds3jEo+8c8tDya0S373h8e3m7w30t+J7yLT/JjnVelcD3bABgLJeDkR8F2PjwOrUJhTnGh/cBm7eexK/8ZWHwXPA1997FS7dapMnzfITIkQIC7t373a9f//+/di5c6fr7yK0BtUwwcHEl6T/i5cJe3DFTzahyPPAtvpjP70PAOEQ/1cujz+dt1V+rwZQHB3CxyfHcQDA229v/vrfPHYCuzR2c/S7G9fB2lapa482eZ4rSmXsic/ad3weuD8uw1o/XbtLMyrE0aC33Ru8vRbg9MFQH3qhui5LJ56BtfHLePsPLVyOOP4NbKfv0yjhXWiyWSwCyW2Vm+89EceuH/8HQNZlf4tTuAPEOidpH//F/ZV/VWyEiB9hM/P0c9Dwdhzz/bd9ZCiJt2YrIp4ckk2t8tzwzhdtwwWbhrEuE2fWX70IXkiB2JpDVbKDTXyvhiC+fN2n8FmpCMx4H/sHC0t4e5bNAPrZ2Ahu3mLXYP/Z4PEA8PjBI3X3vX37Ft/n+5aVHP63tGTfcRtwcyaN766za+Kbc08yjxHNyrpo0OfcPG9gz6q9i4D+FflQVLmsBBQk9BVgZZVPE5pzTb2AiPjuEi7YbC9inzuVQ0k1QgvPO0VUj617fLOK70bESBCrk6KDwG6o+KYe3yG25ywWVFiOnMhTWQXzeQUTqfbdUFsKt/RUfDuIb90CWphLFgMqvulYVDX7HMpGcB9AJ8noVHxLAo+JVAzzq4TrqWyZKbyaWZ0Mya0R31SRAXgrvkeQw5m83UWBi99W69wIDQfuBOafBQB8TPwKrlP/Ak8cX8ErAn5/tcIyc67WRh/7yWM7a8T3du4k9nYg3BLFhdrNHB8m7c0qvikycZEhEDneLjL8KL7LHQo29bI6oeGWrXR1UMQEHgoXg27xELnV75+SA1JT7lYnPjYCwsZ+F39voL89vlNWvqYajGfGW34ekRfBczzM1fbloBuOZXmyRnzHyp0jvr9yf0UtaFrAzU+dYonvJvkJESJE6D+ouokXcM/iZcKetT6VjqGoVkjwQW+7p8Q330Jt30+orrfOGPkh9nGVWmu/UQCO3MkeGJcBsgnSDOfwRxE78hx759QEMOSTPNbKwDHHOYgCsDm4UrJsSdAgtmQ3wHEcLt/WH6p/QUwx5t6KVsCQ9+F9D31V8f1oJg9gMOckU62MvUEnviViv6mj++uuTqBKfKf5Jfz6ukmkTQsp08T/keQ1yRcKioj47hLOnEojGRNQVA0YpoWnTqwwi8Z2QP2rG6VNNwQNt+RKUDVvMiKQ4puQSZLANVQvJzwsAdqFm480ADw1k8XVIbR4OVXtfhTffjy+gdYDLhcChltSMlkpjeKNO14HWZCxOb25waPc4VTAuy0mJtNxQnyzn08zq5M0Jb4DqEVlQcaHLv0QsmoWOTWHhFhPZhdVA5fypKgdmgRe/5lKcmKYOPYw8IWXAwDO4Y/gTcIdePzYWXjFOf4LcAAwjz1Uu71kpSBM+FC7je8EDlQkUtu4k7izEL7yhyvaiu+c0CXi22F1wvWI1UmCsfGxz8lgPL7bG18cx0EWBRQQx3BVeaRUVCBuiu92gnNbBQ2/GUlKNQuWbJ8qvnWlhARnv7dDmdav5xzHQRbkWkdK0A1HPTkJLFdui3oRUPKAHKKvKCpdAg8estWb2RL7uUVWJxG6hb1797re76UEj9A6NMPEJLdc+3nSMFAy/V0/0i7HxS0LU7r/OV+EVXffuGEi6/M5ho36a3/MAqZ0HQKAi4rD+Fr5SgCD33Zv0PpoQILWvFBdb8mCrYZdFOo/XyngeJSdKioAw6bp+znGXcajsDoe/SKx+r261bwYQPNw9H4HL7HEt6rmvA8eAGiGCQ4GcuRzHYMAkatfSyfWXwRsZnkMvnAEGb2yBuPANd/QO/d/ARwH1TBx895TsGAho58Ez3G+NlVy4hZ83zgLALBrOo2zptNI6HMYKR2Dufp9EQW+Nk7XYRSPLrwJwODPuZJg8wwaNxjEd1UYOyQu4f6E/fd9XOqP7aiI+O4SBJ7DeRuG8bPVheOeo+ER31TxHYbVCQBYirs6D2jd6qSZfUCiQ4EMcx7hfXvDIr7rFN/uk5vqSBl3g5MQb5WgoorvMR+qdkaVmt+EP3vRb0BosZhyKr7ddnSnMzKePlG5PZtjSZ4SIQfd0sYpSR/E4zsdS+PXzvu1hseUNQOXU+J7y5Xhk94AsOlS4IJfAR7/KgDg98Wv4eNHXwdgV+PHOXHMtmR51DwDV/kpIsZsT+9t3KmOWJ0IJVvxnRdHQn1uZ1p4FZm4g/jm2gi3DNXqxL2TRSOkQDOrk3uP34vnl59HJpbBOePn4Oyxs+uOkUUBOTNZR3yv9IjimxLfF20ewR3PVpTJ/ar4zq8sYIT8PDQy0dbzUeI7sMVUcgKGxUFYVbYhfyp04vuRw8vM3O783JrlJ0SIEKH/oBom0pxt43CjsBP41f/Gx767F996lLVnuPVDL2sY/Hcqq+DDn74DWC0PHvrjV9Z1BPrB4ufvxalDlfnmU790IV69e13D43/9Px7CfQcqL/rR152LX75sM24FAF7AtZ99CFj1AB909eExkcNiXIbKcVg0F5o/oI9RXW9pgn2d+mhsG3A9m5VyMVAZC23gzxw/Z8savnj3QZzMuq89PwLguvPX4eozK+vP9QHPwQLwG988iDvMiwB4C6kGBTFRhmBZMFbXYqrqzU8MAlTdQorL1v5eAPjW9d/E+Jg/G69rDi3ic/9UCaiaSsu4+/+80tfjvvHAEfzRY09Ufnge4Dngrg9f4xlmXMWr/vZO/KdW+Uw+e/XFOOuCDfgFALf/1yO48fHKQv8Pfu4s/NY1ZwAAvnLfIdzzVGXzuh/DEYNAJGtS3WUTtx9RnVuTvN1FnzItCHx/bGJExHcXccEmm/h+/NhyKM+p6AaWSHhZy1YnDuKbKy97HhrEy7OZepfCKwSuXcx5KL7D8vl2kkhe/uSaD6sTgecg8ByMVRsErcUQuqBWJ04v7aKqexKMzUBtcmSRd03fniadCQ0V3y4EZIoQ37mA4ZbNUFINXMo/a9+x+cpQn5/BKz8OY+93IRglTHBZXHH0S7CslwVKKxdmbMX3o+YZuNqPcpgUT9u4k1gpaS17yXtBLNvK0GLoxLf7ZSvtsDqxiBrXl+JbJYGsHbI60Qyr9l7rhv9wy5sP34xvPv9NAMC7znuXK/Edl3gUyvGa9QbUPCzLcg+37LLi27IsxuP74s2jhPjuT8V3IWsT35olIDXUHtkbI/54QRXfqYSMRWQwidVrWn620tkRIu7dP8/87FTqR1YnESIMHlTdRIbxLx4D4hlMTkwgj0Xm2ERmBGhQN6Y4HXnYJErOSiIeDy7WeX6Fqz3P9OQkY9XoBjk1gvyqF9ScGmOOV5jsnf5YuLeKr8VX8NN0pavwWuXoGp9NZ1H9XDWS9ZJedyFw6Ts6/toZAL97lYXjyyU8dSKLp1f/PXRoqdaNm0huw9WXttahohsmbv76D2s/t9sx2OuQRAEXlDVwnAnZsiCa3c+o6SZ000RKWAKl99Op9Z7HOxFvUUT4vT3HmZ9NC/jKfYfxh689x/tcDRMH5wu1n8+YsgUXlEPIEqGE4iPvbFAQI8GsOjcgxPfq+jEu2DV/Cv0zB0XEdxdxweaR2u09x8IhXWcdpOFkq57VggiFT0A2K8Uhp7i3EpX1MlTSItdsgUsVjkkX9S6FlzKyXVDiOybytd2qp2ayXg/xDd0w60iksoc/Op3sG+1ySgIhvsNQfAf0+AYqBHCrxDdVBXqp/KkqaDbLkjwM8S03Jr6DKL79QFNLuIA7YN+x5apQn59BZgPKV/4Ohu75JADgV8wbMXfkaUxtPdff4y0L0olHaj8+Zp3pT6VPCLFN3Bwk6FgqqIGDNRtBUuygk5LUeuifGxpZnYAS36BWJ82/R+UOKb6TknNTycBwgq99x4FKG2Aj+CEV45KAfJnY9yg55BUdullfbHU73HKhoDIE/CVbR2q3sy6K9H5AKWuTPjluCGNtbhzFiRegYgSzH8okJMxaI5jkqsT3qbbOxQ337HMQ347P7Tcu+A1ct/06ZNUszp84P/TXjxAhQvehGiaWh07gC4kM0qaJc0XgfACbxuqt4tyECszvYwIj7MiVtbqw82ZYKWnMZmkzNSIAjCbtGnjJsRHMCDUG3ONb4uxaxMDpYXVS5g1U1QDpeLi1aCPwPIfNY0lsHkvi51Y7Ej5z6/P4m1sqHaXzHp3IfkBFEwAgthmO3uuQRB7/cCKHEW6VYJXSa3tCHYZmmBg2eNx66CjyPI+8PIRYzH8AKSWTFZ/iuRMrJTxwcLHu/v/+2RH8zivOZDqtKQ4vFqGtjkeeA7ZP2HYXmQQRqZE5myG+Q1xr9SJiJB9MHRTie/Xziwn21kwa/fM5RsR3F3HhJtvr9uB8ASslDcOJ1sjFKqh/9fhQrK22EUVI1YhvQXMnvnmOx5+/+M+RU3PIKlmMyCMNn5PaVjSzOqG/d/pmtwNKfF+5Yxx3PVdRGh5cKKCg6J4Tuh+UXS4qXufOhFs2IEkkga8Rda0oM0uqwWwc+CG+ZZFnFiSFNt5/SvzHPRYSlGQ9lXMS3/aYcesSSBHiM0i4pR9sKDwDedUiQ+fjENdfEOrzOzH0sg/i5D1fxDrMI8YZsH78UeA3vunvwQv7ISjLAADT4rCXP9OfWnxkK8DxgGVC4Cxs4uawEDLxLat2AVWOhRugk5DYxXMVmbiIM6cvhWEZFeW3sgW3VM+hyUaaZVldsTqpnstwQmI2tZp5NNIum3TMveiXRR55iyW+3dTeQPetTvY7/L23jdvFcWE196JVa6W1Qjlnj/E8l0K7o5wqvhU92KI4LYuYs0YAHF49oXCJ71xZq9uszzqsTq5cf2WlZztChAgDA1U3cTy1gB8MjwAAbjBzFeLbQTjLIt90A5fjOKTjYu261Eq3z/GlEvOaE6nm9e1o0l5nLTkyL04n9aHE2e+DafVnp5VfKKv1VYl8pKlke3Zk7WKCbPK0Q3w714XthqP3OiSBhwLCleiDvWmjGRYyKCFpWUgaBqaEYLZ1tHNF0U1YltV0bXjjnhOo2tdvHElgpaQhr+jIlnV865FjeNtV21wf9/wpu7bfOj7EvHaGKr6JUILmgA38nEt8r7UB+ZpWiW9RsJX+ab49LrObiIjvLmLLWJIJ9Xri2ApefGZ7F2Kqlg2qnHBCFVOAViGFBQ/Fd0yI4fU7X+/7OVu1OumU4vvyraN4+NAiCqoBywKeOZlty2vdjVDzE27ZaIOCkuJqC1YnC46wQqp28QLHcUjGhMpChFfwo0M3YXKRh2qoePM5bw70+vTv99rsmCJjtXG4ZXge33cduwsPnXoImVgG502cVyFqHNhRfqJ2e2XsAowLHZ7MpQRunHov3j1bcQmcnvkJcOBOYMdLmz+W+HvvszZA9VsciTFgeDOwXCHJtnEnQ/f5llVb8a3GwlXZOBfPVWQSEl66+aV46ebKe3f/gQUA9wNoTnxrhsUQ6U6yuh1IAmtfVB3fOqP4bkJ8+8hViEsC8iCbF0rO1d8b6L7VCbU5OWMyxRTEQCWkdjjZP4UTAGgFm/guBVyYuIFRfJsBie+4iDmLhMiGTHw/cGCxbqOpXy1qIkSI4B+aYcLk7fqguvG6aZRVfPsVkLRLfB9dsm1XNo4mfG32j1DFd8FBfGuU+O4f1VorEIniW0d/dlr5RXXtVCRLrUxyao3OpoKJFCW+W6+59Trie7DJw5jAQbEk28ZPD2YF12/QDBMZkquA+LD3wS5wCs4U3WwqPPzenpna7Z+/ZCPyio4v3XMIAPClew7hLVdsBe8iTtk3a3NF1OYEqIiRqmAU38bps9koizbxrQ4a8c3bYzTNN+eZegUR8d1FcByHCzaN1BTHe44tt01802DLlv29V6GJtpJQ0Nq3AQGCBcYluqD4ns7Ecc76DB46XCHm9s60R3y7naeXrYIfj2+ALWI0I3hrDLU5ScdF310AQzERubIOji/iH/d+snb/L5/1y4FCC9iFhPtr07HqtDqh76nbmEnL7hfTZnjgxAP4j6f+A0Dlb3Ijvs9S9trPPXUZxn0/e+tQzn4jHjr5NVxWDdX84UeAF/1u8wc++Y3azUfNMyHFAlxVx3eyxHehdfWJGxLacu22Joer+AYqdjd1xLfDAoXpIGlCfDt/36xIDAKO45CUhJoffbWjQW/V6sSD+K4ovokKr4cU3zTY8oypFNO1AVTUw/1GfOuF5drtstB+6207iu9MQsIJGrUZMvF9j8PfG+hfi5oIa4ebbroJn/jEJ5j7VFXFlVfa1+KPfvSjuO6667p9ahE8oOomNN6us9Kr15+pdBySwNVqVL9dUmlZAlb9tp1dI37wzAmbaNlB2uobYXSIKr7t17Qsqy6TZpAhEsW3MeCKb1U3wXMKVELWpVJrTXzb1/i2rE4cm9AD7/Et8FAZxXe465Veg25YGKW5Ck0yDJxwbuA1I773z+XxxHG7o+/1F25ATOTx7/cegmUBB+YLuPP5OVxzVv33x1nbU3h6fJ9Gm42s4nswvqc14ZRgczcpsd76rFcREd9dxoWbhmvEdxgBl7MMqdue4luT7EkrprsrvoOCITGbqCgZj+8wiW9SYEymZezeQIjv4+0R/G5KUtUwXVv3GcV3A6KLEtWteHwvBAy2rKKmuLdYAkoxFCR5//5irNWJl8e3TXxnyzpKqlH7/Jt1CVBlkaKbvoMZm5KHpondxtO1H0vrLm/6nGHgws2j+FPtbfie/NHKHXNPA995b6DneNQ6I5jqY2wHsP82AB1QfGtlyKZdtBmJ8InvSkFVYu5zqoip6qGZx7fzexym1QlQmduqxHd1btNbtDpp5PFdoIpvNY/lkvvn2m2Pb2dxLPAchmJCzVKpFQJkrWEVSVeD1H6YY1xs3eM7HZfwuDVi35ELl/i+d99C3X2KbkLRjYFfuEQID3Nzc3jggQeY+yzLYu6bm5vr9mlFaADNMKEJNkmaio8AqASxrx9O4Mhi5Vo/5JLH4oY0owIMPu8/SULpd2/wp4SkXY/LxOpENy1QDnHgPb55GVj9e3UMdkCgohsY4peZ+9KpDWtzMqugXdnLxdZD5Z3rQmnQPb4FHvskEcuSDJXjcEZxFmu7hdFZqIaJNGfbSARVfDvnsUq97y0s+d5jttr7nPUZnDldEXK88pxp3PJUpZb8t7sPuhLfz5Pa/kyn4pt4fDNWJ4zH92CPXTnGEt+maYAPICTsRVQ/v3HdxAVlBVmex/qh/gm0j4jvLuOCTSO124+HEHBJbSKm0u0pvnUSGCFp+QZH+kcpgNVJIoBCMwio4rtCfNsXkadOtEd8e51nWTPqWj/9Wp1Qv7ZWLAkW88GCLauoBklaFnveiqEgKQUgvmm4pQcpMpGKgeNQ8xSbzZWxddX3t6g1HjNOtWhB0ZlWVi8w5KEb8b3wPIZXc7RNi4O+8bKmzxkGzt84jMetnfiGcTV+Ubgr8OMNi8MD5jkBiW874HI7dxIPhKn4LrLqUCMevm7eLeAy48hLoPNJWTca+tzReUrgudA9E91snGhAUSPi2zAN5EjmQiPFdw6sxzdVt8kiXytYWrFQagfU43vnanGcSUg14rsvbTMU+/qte3wmQfDGM96IF6x7AeJiHBdNXRTosRWrkxH7jhAV33M5Bc+ect8Iz5V1yCkBJwsn8dcP/jUysQxG46P43Ut8dKxEOO1www034IYbbljr04gQAKpuQuFNVH0GMiQgcNOoTXw3C6+vgqoAW5n39xJl4nkbgxPf9JroDH4b9E08kY+hyncb3GAT36puIiUuo1p5iJaFeHJyTc+JWp0AwEJexbrh4Ot2WjvyHFwtKAYJksjjnyc57EtMAwD+cvk5vG6Nz6mT0AwTh0f34YrxTUiZJl6NZfxBgMc7O1cadXhaloXvE5uTN1xkbw6980Xba8T3T5+fx3Onctg1bfNEZc3A/jlKfLOdj15zPRXeNBIBDgIScgbnKgpky0LMAgy1CD7e3+Gs1fXjS3IxvKG4utY4611reEbBEBHfXQYNuDyxUsZsttxWqNxsjlqdtKf4NsjiPaa7E993Hr0TNx++GZlYBhdMXoDXbH9Nw+csBrA6oYWzblot74Yzr6/qTADiZFrGuRvsv/PZk7m2XsdLSVpyI74Jid3o9RirkxYIKmp1Mjbkf0zU3n+zXvEdBEzrqMdurijwmEjJtU2JU1nFJr7J5+Xq8e24L++X+FabqGaP3Fe7+ay1GXKqOwnww0kJW8eT+JOFt0O3eFw7nfet1F9SLPzFsfNx0FqP7UHadMdt4nsrdwo/LISo+C7YxHfWSkCSwwvNrMJpa1K5T8KR7BHcfvR2lPUyeGsIQOUztKzG7X5OSyZfIaEBkCBj1vb49jcf5B2bkJ7EtyTUhVuuEHXbdCZeIyn8Jr2HgYKiY2bFvk6dMVkhvtNxESdWOYx+JL75sk3AmCEQ382upY1Q7/E92/b5VHEvsTlZl4ljPq/UWq2zJa0yjxfncMvhSpTssDwcEd8RIgwIFN1EibdQJb5TCXsjm/p8+1V802t3NuC8v1hQmWvJeRv9zbuU+M6WtVpHpuIQrgy61YlEie8BV3yruokRNYZbDx1FludRkFPghLWlPOKSgLQs1rr/5nJKa8Q3qR2b2eQNAmSBh2jxqA5eVS81fkCfQzcsQFBQ5PnKPyHYhhzHcYiJfI2gbNTh+eTxLA7M2+ry6y+0ie8rd4zhnPUZPL0qEPzSPYfwlz9/PgDgnn3z+Oh3nmQ4kJ1TrPVUxsvq5DRSfI8MTeF/ZqgQpbuio7BhWVaNy8qAdCXIwboS1hIR8d1lTGXiWJeJ4+Sqr/GeYyu49tzWiSHq8d0OgQ4AZszehZINd+L7qYWn8L393wMAvE55XdPFeiCrEwcpVVQNDCfamxTnczbxw3EVBfRIUoLIc9DNyhd432we56xvjbhopPimsCyL8euOGzng0B7Xxw7z9mfaiuK7VauTodrnw4MDD2t1gg5KfJd9+ndNZyjxbf/NzaxOBL4SxFk9Lu8z4LKZ1Yl15P5adsqD5lm4JmS7i0Y4f+Mwblwo4n/rv4GDZ+zAH77mHF+Pe/ipU/j6fzwEIGCy+9iO2s1N3ByWcoUGBwcEUXwvWplQ/bKrSLkEaaXjIh5b2I9PPfQpAMDO4TMAvLv2e0XzR3x34nwTpLgruYRbOm2RKGinAgeuFi7mRFwUUHAovqnH91RarhHf3VR8U0VIXOKxcaRyjmmPxPd+gUDmE6y2/68VMnEJs8Tj2yrMgTMNIISWSmpz8sIzxnH7M7M11WSVuPLjQR8hQoT+g2ZYKJDrU3rIbnffPGp3Arpdk91AO7OCWp3sJTYnY0MxrPO55hkhHt+WBayUNIwNxVwU34NNwkiCjGqmpd7nBEwzqIaJDMpIWhaShgGIvaGynEjLNeK7VZ9vVbdrx0FXzAKAJHLgLdoJPfjhlhbxT05L/rIMKGRCfDeyevzuY8drty/fNlqrz4EKgf5rL9qGD3/jcQDAtx45hne+aBs+d/s+fIfYowDAi8+YqBOqUauTsmZC1U3ERP608vgWYw7v6z73p9dNq9apn+bIBlRAO561RM/NmOVyGR//+Mexa9cuxONxbNiwAe985ztx7NixtT610HDhZnuA/OtdB9ryW511BDe2A4uoYBMexHfQBW4Qq5N4jB2Obv7ZQTGXty8eY8kYJIGHLAo1DyugEnDZKry8yJ3nTgnsndxxbPzCRcC/v9b1378vvQ1buMoOYSse34vEtmIsFcTju3qR4iBwJGgtMPFNSUTvKYZa89BxzKhvPcYMVdMXQiS+q3jI3NV0oyZMXEA6QZ4IYIHkNzC1DiNbYa1O/wJnQVw54v+xzVCwibJFpCF3gEhOx+v96tJxEbJodzioJjtuG9knlZkNuvAvi0kXxTfdCGu0aUHHbSqWAs+5n58s8XWK72VCKNPrQzcV39Tfe8dEqtaWm2nT63WtEdPtz4VPjqzdiaBCfFOrE84ygGK9L3croMGWL9o54UpcRcR3hAiDCUUtokyI78zQdO32Gy/eiIQkgOeA/3XxRl/Px3p8B1N8P0kyeXZvyPjuzErLImMntrTaCUWvgwLPDbx6VhLsGkDnBpv4VjQTmTZ8kjsFGnA51yLxzSq+B9vmBKh0RAqW/d0MuibtN2iGCZO3a2IvsUsjUAGPF8dkmBa+/7hNYL/+ovo5/PUXbqgJ6BTdxKv+7i6G9OY54NdetA3/9LZL6x7rXKdV68XTKVBYkBy8nN7fmzZUNMUovgMGsK4lemrElctlvOIVr8Cf/umfIp/P4w1veAM2b96ML33pS7jkkkuwf//+tT7FUPDa89fXbv/s0CL+8FtPwLKsBo9wR1kz6hR97YAS33HTXQHa1C7CgSBWJzGBZ5SPxRACLp3+3lXsJnYnT7VBfHtdUEoqW1TSyeIXhJ+Ca7BjnbDKuI6vhD1pevBxsViwx0RL4ZYABBKEoQTcoVR8qmepNc8so/hubHUCVBYyVfhdPDUMCMydAr90sPbjQ+ZZoQccNsL5G0dqt584vgLT9Pe5+7XPqYMYQzllFzmpQojEN1F8L1gZxDtQ2Dg9vodiAkSBhywQ4ttQQdfFjTbSnFYnYYNuolTHt0EXLw3CiVZUeyOkEakYFwXkneGW9PqQoe+N6XuMtQuv1Pd2vV7XGnESAC0ku2OL5IVUXEQBcRQtUgOE4PN9ZKGIY0u2quNFZ0yw7aulVcV3s/yECBEi9CW0MmublErZ65fNY0k8+MevxD3/++V49XnrnQ91RTvhllTx7dffG6goF0eS9ry1XCO+Tx8CBgAkwd4Y104Lxbcdst4rxAz1+W5V8a0x+TCnw7jlwVl2Da32uWq2GTTDgkaJ7xZsJOh85uXx/bODi7WcOIHn8Nrz1tUdE5cEvOXKrbWfKVV1waZhfO/9L8bHr9/t2vEzFKtsilZRrfMpHzLo864oiFBIbpqlDQ7xfTiu4IlYDIdEEWrMfw7cWqOnrE7+4i/+Avfeey+uuuoq3HzzzUilKovkT3/60/i93/s9vPOd78Sdd965xmfZPl5/4Qb89Pl5fOPhior9W48cx46JIbz/5WcGeh5K6gIssdsSSGGQ8CK+Ay5wS4TETDQJv+E4DglJqFlXeKmpg8CL+D6XWJvQYjooPBXfDkKcThbbuRP2L+LDQHU3t7wMqBWSaJSrkCothVtSxXcQqxNy4eK5WC39ne6ulzUDdz03hws3j3h2GCg+L2pU8R3E6sR5rgWl+TjRTA1F3S6C68buUVvtPWONYQYTXSW+qVdlrqzj8GIR2yeat7exquFgBYQ+vB3IHwUAjJaPBnpsQxRYq5NkFxTf1Z/jRNGkGAoSkm2J4/xOUnSa+KbjuOwSbik0UO1cse4K3PnLdyKrZKGZ3kSBq+KbZz2+KVTDRLwL6eLexDf1eu0/xTftioqFkAdw38x9uO/EfVANFbvHd+P6ndf7fqzAc0jJEmatEWxb7RaqEN/nt3VOVO29Y3II64bjrp9b0A3xCBEi9Ad0da52m7csJInVCVCxOPFrcwI4La6CbXjS7szzNgQjg0aSMcyvBr8vrYpD2Jb7wSZgAGBXchv+7vk5SJaFgjXd/AF9DFU3MclR4rtXFN+E+M61lq2jM4KXwVd8xwQePCG+B13xrRsmVMFek6TaJb49Ojy/t8e2OXnJmRMYT7lzSG+9cgs+f8e+2nozLYv4g1efhbdcsbWhTSPHcUjHJayUqtZ4VcU39fgecKsTgcMTsQR4XoXKAWcVF7C2Mpn2QDmpP10Xx7JQIbz/S1lqc7XRPfTMlV7TNHzmM58BAHzuc5+rkd4A8KEPfQgXXHAB7rrrLjz88MNrdYqhgeM4/MX/Oh9XbB+r3fepm5/DjY/PNHhUPWiw5UQq1nYQJJewJ9ek5UPx7Yf41pqTmBRUGVnS2lcBMsR3ykPxfSLbkuIe8LZPcBLilKDczp20f/G6vwM+tLfy78r31e4eWc0ib83qhIZbtqb45sgOJS0yPvLNx/EbX3kYr/67uxhlNkXZt+KbEt+V17AsyxfxTRdaeaU5aZZTc8zPdWOXsTk5C7LIdzUpPR2XsGPSJrofP7bs63GM1UnA7z8/YQdcrjdm2rJcYkA9vpHuyIIyFXf3kosJrEUPHX+NNtLo7zrj8U0V36tWJzTcsoFqR+AFjMXHsG14G84c9d4crff4zjusTtiitlt2J/vmBlPxPWTZf5ecHmtwpD88NvcYvvTkl/CfT/8n7p25N/Dj03ERcyALpFy94nu5GGyhfc8+1uYEYAOLIquTCBEGG5pqzwFDpgVeqLcZCwJG8e2jdqsdW9ZwkISw0RreD0aJ4nvRxepk0L1mAWA8NoFXFEu4ulTGeQHe+36EopvYN/4crty6Cddu3oDPonWBU5gIQ/FN82FOF6sTziSKb6O1DYN+gWpYKPP2Z5yJjzc42h10HePW7arqJn7whM1FvOGiDXXHVDGVjuNP33AeNo8l8POXbMStv/dSvP2qbQ1J7yqoz3e1zvcrjhsEiAKHD60bxjs2TOPX109j/8qhtT6ltlAVcQrQkSeff2qofzZSe2bE3X333VheXsbOnTtx8cUX1/3+F3/xFwEA3//+97t9ah1BTOTxT2+9lFF1fuhre/DIkSXfz1ElCwFgMt2evzcAcGRHfMgquh4TdIFLSUw/SsoEQ1S1T8xQDzWq+D5nA6uwPbrYWkq033DL6mTBwcQ2SnyPn2HfTtj7gCNcnnlcECyEQXzD3eP71qcrba9LRc3Ti5oGaTTy+KZE3KnVTRzVMGGQos7L6mSIIb6bE7a0U0HgBAw5w0Ic/t5+NmnCxgWkdfepE/7sd7Q2lB/ytE2ibuNOMhsmbYF4fC90KNwy4yS+PRTfdPw1Cngp+/CVbwes1UnltQyq+A5hk0WWeOQo8a3msEw+0ynHNaIbAZeqbuLwgn0tocS3W0HcNzBNpMjmcCIE4pva9LSiaErHRcbn22l18jv//Sgu+tNb8MH/eczX85mmhfv229/lF51RWXzRz61mdRIR3xEiDCTW6yncd+gobj5yHJ+fb3+ebnXD8+kTtnghLYvYMhastXokade0rlYnDWrVQQFH/GYl9A7xreombn9mlrE8bPs5VwMCCzyPk6KIktAbDe50Hdq61Yk/0cSgQBI4gFqdNOh8HATopokSIb5TyYnAz9FM8X3Xc3M1JbYs8rj23HqbE4pffcEW/PTDL8en33QRpgLkyaXl+hB7Ou8GyqbqQ0g8D4noKsuKu6i0X1D97FJcFjrxEk2nG4+fXkJvXAkA7NmzBwBwySWXuP6+en/1uH7CvTP3oqS5E6u//uoy/uqHz6CoVjK23/3Vo/juu9+KzaSomy/NY89s/d9998wpiOmKRUEsM4xbD1eKuQunLsREgp0oH519FIulxYbneULZj2PJBBKmhYtK7JezoBVw/8z9mC/Z6g8/Lc0lNRihxBDfYYRbelidZOIStowlcWSxQso8dWIFW8aDexR5kWnOc1eNys/rsYg4Ry7aYzvs24T4Hl4NZQmq+FZ1k1lMBCO+yXTgovieyc2hHHsM4upT3nOijLwwUvc8R5UDENOLMEpbEHeoaPbM7cH8qiL4cKkAMf00AGBOF3DrYQMFVYOYfrJyCqaEROxVzONLegn3Hr8XJekgxHSFlHlyaRG3Hj7g+jedMXoGtma2oqAXwHM8TMtEOpZmQ5HUAnDC/n5129+7io2jNmm5mPdHQlPyMmjHhzhhb7ps405iIa9i/XCiwSN8gii+l6x0R4hvp8d3NXCPKr5NywQ39Di4/BQsfYQht/fO78XJgr0B9eTySYjpivVUQRzFrYftRbYkSLh609XM66mGip8e+6nv89XIR1OdExX+BMR0pdXw8SUNxcPeATYj8RFcOl0fHkMRFx1WJ5aJt6n/DUWovP9nPbcHbxVmcZNxBZaQCU/h3wBHFgu1jSyB57Bt3N5wYlre+8zqpFxYQZyzq9mh4eALEyco8X08fxy3Hr6V+T3P8bhmyzXMfbqp486jFfs37v9n773D3DjPa/EzDR3Yvsu27BQlURIpqtiqtuQSd7nl2qmWS26K7cQpjnNvnNhRiuNc/5ybm8QlLpJjx467FMdFtmzJqlalKJESKYpi55K73Io+mPL7YwDM+w1mgBlg0HbnPA8fogyAWWDmm+8773nPiR/AgwUe4YqP6+xTQPk9ZrNF/OCFp8GHxvDdPcBvv2Qzzl9lXL+PLB7BCwu14+fJ+RwW+Wcglg9LOSzgp8eeQSxs/q2V3+37L3y/+lhgdRIgwPKBWMogoetIqCpEJBq/oAFSTYZb7jtlCi0uXJPy3JE3TIjv+dzKtDqhxHdI7x3V7IdvfxrfeOwkBqISHvizGz1Z5zihWFLBE6u3RKj1Y9cPMOGW6dY9vlvt9O4HSCLPrkm13jl224GSoiJLftakxV7KDWgHi91c/+6DZnbDyy+c8OWcs4Ot4nsFjbuCwEHUzWtVXrYXlfYLKkWUhDgPKs9LxgPi2zOOHzfC1datW2f7fOXxynb1sGPHDtvHDx8+jC1bttg+10587OGP4ejSUecNxlHV6eUz5+Fdt23Hre+8AuuGDCL2wNwBfOCeD9i+NFr+ul4A8IF7jNuffvmnce3aa5ntPrv3s3jg9AONd3ZiDBvlEr53agpQS0C5rfFs7mzNPni1OnGl+LYJgWsFTsQ3YLRKVojv/aeXXIfzUDgF5lkfrwwWm3ji751cDYTJZIwqvstWJ7LqzYJl3tLKPhJ37/seD5vf/Wr5nfj4W3cgLIQxFh0DADxx+iCi675S3ebW5wE8b/9e0XVA/uSvIyxdyTx+675b8dPjP2W2q+AD93yJeUwrDSAW+gDz+oXCQvU4rGx31xxw1z32+/Enl/8J3rHjHdgxsgNP/saTyJayyJYsFddTjwO68Xul9SgO6OuxqQuK71QTRCAzAfY6gRg2x8K13DkcXcoAHgKjHEE8vmeRrKv6bxa1Ht/GpYyShwCwlPoihPTboCxdypyTX372ywxZB5jH0wHNHEsBYDA8iPvezpLc2VLWcUy2wxUDvwrgEgBm4K8SfRzRgbsAAP+y3/m147FxfO4Vn2v4GRFJQBasEuMPhG8DlUP5EeBvJOBV/CP49dKfd8TqhPp7bxiOMeqOFOMV3V+K78ziOeabTg56b0W1gh67z8w+U3N8RYQIHv31R5nHSlrJ3C4M3LEGuAPGeI3Fx4F7TGu46DqgeO6lkGdehTuePI3zX2Vcv+86dhf+357/Z7tPdHz+8weNsf/XVn2x+lh1IUMU6oHiO0CA5YNQyVzeyqJzcdYtkharJF3XWSGCA/aRLJ4dHv29AWAwbhduubKsTnhKfPeQ4vueg4aP/GK+hD3H53HdtrGW31NWNUiCuR5KhVo/dv3AqA+Kb+rxvRKsTkICz9hvylp/zRe9gldzKBAlf7IJG4lG3a40V+vSyUHP7+8WdgKXlTTuWhXfxVJ/E98VsV2cX6oS3yFdR1jyQTTXIfRMqSWTMRbIsZi96jYejzPbLWccms7gNf90H+7cf6bxxm2EXnC2WwgLYaxyUeFx49dMEW3gS+UVTh7fAOsRSENzvMAx3NJyoakMFoy/97ClCGNjdeJV8U3tKqKS4Mm2gSq+teIYzhs6DxtSGxCTjHOyopLxglbUvhz8VTNwHIdEKIEJ6ySC2Jzs0bZCA98Wu4tGGIh6D31qxeMbg+uhli8BAqejMGOvmvcM6vHdJqsTqzqhUjSIh+IYDA/avqZeuGW7QW1oKmOG5jJX4Fz+HN555zvx+u++Hvefut9xu7DEowgJh7S1dd/vWmE/wpA7YnVCie8t46ziys4rul+QWzItQDJ6FOGQ+84aJ0wmJ1t+D7f4rydPQ9Oay7Vgwi3LrasDJHxpY2pjS/sWIECA3kFIMbufSlLr5CEteJZU3XUB9hkabLnWe3FtiCq+s7Ut9+0o0PcaFlHAH4yP4ncnxvCBVb1BBAPsOtFr4KkTZEVDiacBgYO+vG+roOvQ+VypqRynEuPxvfyPW0ngoWtU8d1f80Uv0HUdYY7tzk8mvIvyGim+qSXqSKL1+asTGEGXjdXJcld8iwIHgSi+C8ryIL6jglmITuj9VXzrGcV3JVzQqfLvJXxw/357+ZyTErzd2DywGRGxsSfS9FIBZ2TDK3SpoOC3v/w4br56I159eQTnD59fs/3R2SyyRWOSsHogWrW1qPEvBrAuuc72PSgUVYMwvQ9rFeM95ewCwnFDyRbiQ9XXh4Uw3n7+25F0UUH3anUSs/HCbRa6rjMe3+MpK/FtLtb3n7b3q24EJ3LeanVSUeYyxPdIHeIbWQA6Sh7JqZysYgAZ3MA/iVVSCXjweUApmP9U50nlzrkc/lI0fGEHlyTgh//NPL9q5gzGCuZxHAvZEes6lvIlKKqOG3A3rnn2EHDOPB7X5g7hfMEkwBbyJejlSVwiIoHjgHT54pjQSsD3/qC8JQeMnQ9x8/U4f/h8zKSL1XDXgahU7Y6wYjjiwnuXEN+PatsBuOtO8BspQnwv5t1N7FirE48XHzGEWXEC44rRhaDPHgZwnbf3sEItAQXzXJpDqsbuxg/UWp0Y9yVewl9d/Vf40v4vIafkcHQ2i5xmVKJpZsCa+BpmPJxaLGAua4wVI/EwVg2Yx7ndOMdzfMPxlGIgZB6HldBetZQECsaEdstYomGBYOfYTlyx6grH543vmcP7Su/H76fuxTXrJPz8OUNJJfEcXiM8DJSVMhu4sx1XfG+1EN8sgdpfCp78krkwSXNxJFwoFhvhylVX4rcu/i3cf+p+6Kid71Abnwo4cNXjcGohDzm3iA1cuYVVDANjxnh2Yi6HpUIJumIcy6cW8nji+Dwu3ziMkehIzbGs6zoOnElXizMbhuPVQNlUxDw3Kgqe7UPbkZbTeMnkSxpa8gQIEKB/EFLMMVzxgfi2dmst5UsNr32FkopD5FpyUROdaTTccn6FKr5VQcDP4uZcWVUVCF32vjYC7c3rv9u5byPIigY9Yq7DkpGhOlt3DqMWAdZcVsaEB89kgFV8Sz7kw/Q6JIHDRGYcn9QeR0jXMbFua+MX9SlUTUdSz+PNi2lkeB5pgUcs6r2jkGYWFG0U37MZmgXmvjPcK5I2nZ103brcC44iz0HUeQDG31x0sD3uF8jlsSckmAXxVO9oqF2hZ4jvZNKYUGWz9sbvuZxRJUkkesOnywv+6cZ/cr3td544iQ/fvq9K+t724FE8diyFf/mV27BxlCW0X/HJn2OmPBn80G9chlfucFZgf/jFH2742Yu5EriPTyLFGSemnJ1HZThcl1yHb77+m67/DsCY0Hi1OokQIrVVj++FXImxghhLsJOLC4ni++xSEecyxZpJSSN4Dbfc6JL4DnMlRCBXBxm3kAs53Bn+EFZx88Y4+2P3r10P4F2VEUEG8DD7/CvK/9zjEHAcxr8yPujp9QDOHmDujnE8vrnpJbgv+jL87pE1yCCGF58/ji++3pkQrAtNBU48Ur37mF4mvh1CNdsJRvHt2uqkeY9vAJiPTGI8YxDf4vwRz6+vQW6WuTurJ9sSGmVdPFNVwY3rb8SN628EALz7tkfx04xBBNJz8vd3/z5+f/fvV+9/6FtP4ev7jLyEd92wFX/yS9vrfv5AeMDTeHjHk6fwDTwJwCzoKfNXQz73YgDAP77pJTXEsFdUvueD+np8MvTbGLzqIvzBfuMkXjcUxWviHwLOPQcA2MRNoehDR00jPD9DiO8xK/Hdv4pvOWMS3znenzkJx3E1x2UjRMRI9Tj8+I8O4N6f34Vvhv/ceDKcAt5lPHf9P9yN3ByrNLnjydO4fOMw3rztzXjztjczzz1+bA5vefAhAEYnyXfe+cpqkfPHpBOtYnXyhV/6goe/NECAAP2CO8PP4OPr1yGha7iBX8L/avH9IhIPkeeglAUPSwUF4w0E3AfOpKtZEWGRx+bRWnFPI7DhlhWP75WjPASAiKWIL8sZRKOD3dmZMoqKBtp85FfeR1HRoPA6jN5RIBltPYDaD0RDAuIhAdnyPHAmXWyC+KaK75VAfPMIlwbwipzBTej68j1XFU3HgKbjf8/NAwC06Ai4JgJMqeDIrtuVdoePeMgC84qUZV2r6/qKKjhyHKv4lpsIru8lVLiskGCu7RJcz1DJrtAze7t+/XoAwMmTJ22frzxe2W654s2712Hn5CDe99U9eHbKaO3bd2oJr/vn+/HLl6/DWDKMkXgII/EwzhCPJq8XTjuEJR6ziCEF4+Ki5ppTQVcgq1p1sgpYwhMdEKNWJy0qvqnaOyTwTMgCAIwnwxhNhHCuXPl85vQSrj/Pm7ecW8V3JdxyE0c8vkcsVevIIHN3EBnPbXChmX0G6b1coWvAC3fjOtyNx8IS7tJ2ozSzAbjr+41fa4fCEiAblUuNE/CkZhQjol2oQlPy1rXim1qdNLFwyyY2ABmD+I+mj3p+fe0bmjYneT2EPCJtUXxbrU6sRHgFbgtpTIGuDTY3TGhveVwracSn0QfVToRpbdSqi3sAGIxJxnhTJb7PeC6qeYWm6Tg8bRayrcQ+HY+LigZZ0fom4V3JmmNsXuiNlvFkRMSMPmg+UFwCihksaRJOzGVgPcJ+8NQp/OXrzodks6j62i+OgSsrVC5bP4ioyAHl4zUVMY+zJZ/UeQECBOhNFLkC0gKPNHgUfVjgchyHZESsWue5KXrSjswLVqeasndgrE7sFN/LXHkIAOGwhfguLnWd+LZ29vqq+CZTuWTMe0BguzCaDCM7axSim/H5llsUvPQbQqJh41eBXirUzGeWC2RVQ4oz5816k2Hh9RTfRUVFpmh2WQy3k/i2hBlb1x0roeAo6AIAY5wrKn2u+C5fMwXeFNIkefv1d6+iZ4jvnTt3AgCeeOIJ2+crj19yySUd26duYctYAt/9vavxt99/Fl/+xTEAQKao4NYHjjq+xmrj0QxCAo+0HgM4Q7Wp5Bdaer+CzA5wbgilqI9WJ9ZgS6uNDsdxuHDNAO4t2wE8M+Wd+KaEGa3iW0l7WdEgQsEkN2M+aPX4FkNAKAHIRiVtkMtCVjz6sBLiMYcoYue/zGh5F6PG/4IEOEwZFvIyvvPEKQAAz3G4+eqNzPP3HpphPXvH4njJeZbJJMfjG4+fxHxegQ4Or7l4DdaPOKtz7nlupurduHPdACZSEfz4GcNuZSwRwi9fXva9lbPAwR8Ciyeqr41wJbxOeBjIPgw4Wx+7xkx8O/J5o4DkpkjjN6jiO1NUoGk6+AaEaEse3wCKqY1AWcA5nD/q+fU1IP7eszAmbO1YUAo8x5xv1qJWBQwZ7JL4bocnOT2ecrIKVdNB3bv8UO2ELWE2C3lT0TEYDQHDm6v3N3FnbNsf/cSphTzzvW4eY8cBa7EiXShhxGPHTbeg5Eziu+hD4JsfSEYkzCIFTefAc+WD62NrkQJwxK4urgH4G/v3+gSAT1ReMwXgFvO5FwP4YWg93iF/CEuF1kPIAgQI0LuQYV5HIqI/3S2pqESI78Y2V/tOtebvDbBWJwu5lac8BIBYlL1WFeW0w5adA7U5AfwrphaVEhQyf040ERDYLowlwjhWJb7lBlvXQllhxLck8CjqLPG9XKGoOpIg5GikSeKbEMpWW0Oq9gbaTXyzHt/WfekXsUsr4EmHgqx4P997CZXChcCbx2hC6I91WwU9Q3xfc801GBgYwOHDh7Fnzx5ceumlzPPf+ta3AACve93rurF7HUdEEvDXb7wIV28ZwZ9++6m6k8OQyHu26LADz3NIw/R/0/KtKb5zJXaf3VidMMrIFlvxKfFNk7QpNo/Gq8T3mUXvF1MaYjkYCyEr52seBwBZ1bGOm4HEVf4mDhjeVPuG0SFCfHtXfHN502riiLQFO97+H65fm1vI45ZHfla9/2uvfDUzqfr81CO497RJ3L9sYBwveXWtxcj/3fNTnFaM73LXFS/G+s3O/mR7cQj/eNxQob5hYA2u2zaKf3jqKQDAlYPD+OWXX2Vu/KqPAyd+ATz1DZSe/g4kubXj04qDg9cCZd62HeRnI1DyVteNBeFArH4ltUQKI81MgLOD51Vvr5H9tTqZ05PguPZV9FNRySS+HRTf0RAhg+t4Whc8WjJ5RdSiPFc0dl/8WLyELSR/reLbLLRt5M9gts2K72emTLJicjhaQ3THQwJ4DtU256WC0jfEN0hRuCQ1tzDxG6mICBUCpjGIVWhv188F/HG8S/wh/r74q1A1HcIK8BkNEGAlosiZ8/iYT2Nd0qICbASq+KbZPF5ArU5kVUNWVldUyBoAhC3q0UKxF4jv9ii+BX0B9MhKJpytQDsNul6n61S3UGi45Qq49koCxyq+leVLfJcsim/O0gnuFnQNa+1Mp/7eibDY1vUuXdemC0qN4GYlFBwF0npS1Pr72K0WLgTz70iJ9hlrvYqeIb5DoRDe97734W//9m/xvve9Dz/+8Y8RjxsKsU9+8pN46qmncO211+KKK5r08u1TvPri1dg5OYjv7jmF0wt5zGVlzGZlzJX/lRQNv/PSLb5VfXOcqcrT8kt1tnTxXmRCI/Kcq8oeQxD5qfh2IFTs2h+9gO7jUFzCqQWD+K6xOlE01t97cNJQYFsRHayqmgeQYUIg3IDPm96zGWHQ02vjFpVzTlYxEDV/s+kldsBOF+0XLKyKpv5vPkE6Fc4uFepbTvA8sOFqYMPV2HfR/8K/fu6zuIbfh5Sk4S2719b9nIYY2Yafn70KeN74jWJtsLtohJrQp0KpMfHdovKjOGR6Wae0RSAzAyRaUHFmKfGdQljkHQOLW8VrL16Nz99/BGPJMK7cZO/fSBXf9cYTNoTX/wWw1eqEejQC8IU4pJNXw+qEKL4rVidlbOamcNrG989PHJgyF9Xnr6olTIyWd6m60O0nn2+OBLiqTbai+o1K8eezyuvwv6WvQUJ7A0Mv542CZcZFgS5AgAD9iQJvjiPR0KAv75kMu893KKkaDpwxryUXNU18s2PUfFZmSJiVQHxLooiQpkMuzzfycqbBK9oPK/G95KIQ4gYhbRaUUk7Ee4j4TprrzmasTmh21UpRfM+HM/ijsVEUOQ6DYgZ/2+2dahNkRYMcOYuvxRJIaBo2hkRc3MT71FN8z2ZpsGX71N4Au65dKpSYYiOwMhTfAsy1maz2ueK7fCxdsRTGr5dmkOZ5rLvwhi7vlTf0DPENAB/+8Idx11134cEHH8S2bdtw3XXX4dixY3j44YcxMjKCW2+9tdu72BWsGYzivTd0JsU4y8eA8jVVL7SmqGXJJHdEoq+K7wxrdWKHoTjb/ugVtJJKSXS7cMvNTLClw+9JAi4HuSzOeVRlCgUSuiZ6WyBYf6OcrDD2G1ZlgpNSp+DBNoJ600+ni8gWiXVM2Pm1iVgMd2mX4S7tMoTB4y2vf3Xdz3GD9Lf2Vm+3Q/XbCALPIRkWqwWFxXwJkw1ew3j9id7JUy4xjnN6CqNcucg1/QyQeInn96mCsTpJtrWa/+evvQBv2LUGm8cSjsdZPdUDhdcQXq+IMRZOSg3xbeez7BV0oiurGjO5NaxOTMX3GLcINddaYbMRniWK7wtW25PDyYhIiG9vC959pxbxV9/bj20TSfzNTRc1tAXyE3zRvDbq4eaIGL9RUVHeqr4aP4u8Aj9//24AwLtue7RKHP3v11yAl184gdf/8/3IlseZv7ppB15xgdEG/hd37MNPnzXCYNePxPAf73kRBFq4Orsf+NrbAAAXc0cgQXFVoAsQIEB/Is+ZAYHxsD8BgVTx3SjM8PlpUwAi8hzOW9Wc3Yok8Mz8aiFXsnh8L3/lochzCOk65PLvmS/2AvHNXvf9UHxrmo6wWsRrl9JI8zyKvAAh7D0QtV2giu9miG9qdbJSwi3zgoafxA1l6Rq1/cHs3YKi6TgXn8bfjRhj7Ruw1CTxTYUw7Pc1lzWPuXYT3ykmxF5hxlxJ4FZEt+DOzAjeln8BYV1HfP013d6dllC5Fm9SFLysHDaLgc7wk36hp0otkUgEd999N/7iL/4CsVgMt99+O44ePYp3vOMd2LNnD7Zu7a8vtx+RJ4pvtEp8N0EmxVyG0bmB1ePbDpTYXWhG8e1AfNcqvlVW8W31966AEt/IeA6gk4pmi3tBGvT02pDIMz7RlIQuWYg0AMgU7Seo1FKiEfFNf5fppQLyZBIclZzrcvEwG4zn1RLGDrkmCjV+g0nAdrEAaNXjOyoJOKgRen36Gc/vwYB4zM/pKUTaGBjFcRwuWTdYE3RJQX/HelYn7ff4Nt9T04GsZbHnx+LFut90/BuMSUByNYqcWWiK+BFmWgcHzhDie5W9D3Yy4u14p/i/dz2HR4/O46sPH8fPDkw3t5NNQiqRFvEuh4NVQMeOM8UQMDgJJbkW95+L4jRGcRqj2LhlOyKjG7Dzoouqj339OR0YnMSBwgC+ckCrPv6rr7wGwtB6ozup8m/LjUDZzy/MlbCDO9qQuAoQIED/IsuTgPqIs22dFyQtZEg97DtlrkO2TbRWTB+Ksx2eK83qRBR4SKTmni9mnTfuEHJFdq2U9oH4llUNQyqHP5+dx9/PzOITaY9ZSW1Gq8R3ibE6Wf7HrcBz0HRz7trfmtn6KKkawJvd1ckmbSQilswfCmp1MtJ2xTe1OilZumyWf7ERACaUQbwqm8MNuTwmtZ7SG3tGhZNKwQy3bNaHvlvouREzGo3illtuwfPPP49isYgzZ87gtttuw+RkI+1jAD9QEIiaouif1UmNdYScBRZP1fwbUmbAQat5fTNwQ3yzVietKr4l28cBozVtEzdlPuBC8T3UhMd3iBLfoaE6Wzp8vIPVzKxNAIvdgqWkalDJpKwR8UkV31lZZVT69exGEhH24pF1sF3xgnb7PLsBJa/cKF9abXmMSAKe09eZD7RKfOesxHd3JzZ0MVvP6oSG0bbb4xuoPXf8UD1YQ0RpZsFAVAJ4HjPSGnOf2kh8Z4sKjs2ZE6N6iu8KvCq+T86b4SoHz3bWqzSsmNdGIeZ9nG0H6HdZVDQUFRUvnMsyasmt48b1/aZd5nFwz8EZzGdl/NNdh6qBq+dNJPC6i1fXfogYAtaY+SuX8c9hKd9eS5UAAQJ0B7qmIUuuTfGYP2G2Xsb9/adJsOWa1hbYdI5uEN8ry+pE5DmG+C70gtWJZa3kh+JbtvgkI9IbXVkVMMR32juNywhemuj07Etw5ndWXMZ/cknVoAnmMZEMNdfhUl/xTYjvRJsV32RNq+mspexKGHMBQOHId6z2t8d3ZT2R5Cjx3VvjayP0d+khgO8oCAmgPO/gWww+qRBNIhRcxB8FHv0CcPoJ4NQTwMwBQK8ldV8H4OLQON4k34JCqbWTqSMe32TSNshYnVjDLTVs4qnVSWPF9wAyDLHpBuGSSXwXJe+ETDwkVCeeVJU6na4drNMFBbquMx7OVi+xRhXdkXgIAs9VyfIj58zJaj3i2+pHni4ozPffDHpB8T0Qdd8CDLTu8R0NCTioU8X3s57fgwHx+J5FkvHY7gbo72id/FHU9Zb3Yz8sZLr1t/XDp9H6XZ8lnvyVc2MmNIl18gsAgHjmWMuf6YSDZ9NVEjUqCVg/bK9aSVn8/7yAjk+UBO8EwqpJGIixwY5+thOsGQHpgoJnCGm0hVgCXb1lFKOJMM5lilA0Hf/fTw7ih/vM69Mfvvw8Z+uYySuMkGEAl/KHAsV3gADLFLncDDQyv0sm1tTZ2j1SHqxOaLDlRWtbWxPQOeJCbuWpD0WBg6Sbv6dc6ux10w55S/fbUqFUs67wClnRkAL523qMmBlr0eObsTpZAYpvANC5aPX28lZ861B4c0xMhJor9lEhjHVdPsd4fLc3UD5pEalRXmbFEN+8eb5zivfzvZdQIb4ZxXeP5By5RUB8B2BAFd+83JriO1/I4x+lf8Vr+EcQTpeA77t73QZ+Gm8XfoYfy7/e0ue78fimgTfpggJF1SC6JKF0XWcIbuqVZbU6UeQ81sAkBd0Q34Oc93DLSGmhersU8U58x4htBPXem16qHaxVzfj7GTsJy9/dSPHN8xzGk2FMldWpR8+Zg2k9AlLgOaQiYjUIZyZTxKQDueYW9DfrRrglwBKBbpQvVr80r6i1OnkW0DQjSLQZ1Ci+uzuxcR1u2Wa1vygYNkKVNjEa6MVx/ii+JYEDx6FKONOQqIrSbS4yCZQ521SufcQ3DbbcvirpSKKyBIg35XCmQInvXJ0t/UdcM/++cMKf9v9WEQ8J4DlDVQOUiW/is34hUUsKPIfX71yNWx84CgD4yi+OV5+7YHUKv7SjThDYuiurN3fzh/CgT2FkAQIE6C2kM1PM/UTSn4BAqgKsp/jWNJ0p3l201m/FN7E66fJcpRMQeR6jCsBzJYR1HYIPFoGtIlus7Y7Nl1TEQs3TE0WFVXxzPUZ8U8X3XE72tO4E2E7PleDxDQDgCfHNGd0o3DIk/RVVQ0kwz4lUkxkytJBnFeKd66DViSTwiEpCdY1Fie+VEGwJACpVfPc78V2+ZnxyggPPjSKpafifutwwj6yXsDKOugCuIRPiW2iR+E4d+SHeJDyAMOddEXYV/0xdoqoRSqrGVDXHHcMt2UHfS5udtYpK38tKAMczJ8BzxmRFhQAMrLd/U8bjO+vZ6iSmLFRvK00EEcUJ4UsnpNNp+8E6bVHrWP9uNyqacWJ3coaoVBuRz5ToPjHXOvFFj7duWXQMMB7fjQkltuWxOY/vQ/pa8wE5Ayye8Pw+VTAe38muB0Yx4ZYOim9NYwtY7frtaSGHLvZFn8JdOI5zVNhXCnzzUXPcGcgdt93WD7gJtgRq/f+8gI5PnVZ8x3VzUR1O9obVCcdxFu/cEvM7XGj5HW7atRZ2+MOXb6sfFDppEt9ruDmo8y2MFwECBOhZpLNnq7fDmo6YT16ebsf9o7NZZMvzMo4Dzl/V2ufXKL5XmNWJwHP44JSEH5ycwndPncGusD8K/lZgl+XUqn2WrGgoRM7gP5MJfD8ew3Ph3gpfpsS3rhvktxcoWmudnn0Jzlzv6RwHpQe6FdoBWdVQ4M1zIhltLlCYVXx3L9wSYMd72uGwErpsAOBIZAl/PDaC94+P4jZuqvELehjFkgpAxy9iIn4aj+H2ZAI5ob801P21twHajpJkEt9iqTX/t6GZR6q3FU6CuOYSYM1uYO1lwNrdwPBmVNLiAQDHHwK+9DoAwBX8QShy815IVk9qJ8V3PCRA5DkoZZncfK6EEQdbFCusxHw9j+9k9mj19lx4LcacBgqr4tsL8a2WECUt+ErE+wXTyeN7xon4LioYJ/cpgeg2sdmpKNFI8TE5FKv6P/pBfPWE4tuzx3drE+CIxCODGE7qo1jHlUnr6WeBoQ2e3wuaBuTnqndnkcL6Li8moyHngJcKrAWsdtncxIiNEA1y9LNVNSLxtgvJgagxuU3HTOJ7uNA+4psJtlxtH2wJuFf+WVFUVGZsPDWfh6bp9QlbGAviVlUmmlxAlDTbxlK9ofgGjAWGeYyxVifWAsTOdQPYMBLDsVmzaHjR2hReceFEgw9ZhVlpFUZKhjVKYuYJAFf58wcECBCgZxBVFLxtKY0lnoesS76RbG7DLfeR8WvzaJwJNW8G1NpwLmv1+F4ZJEwJ5nev9gB5mJNrf//FfAmrBiI2W7uDrGg4kzyLvx0y1kBv05fw4abfzX/EwyJiIaFqrziTLmI86f7vVaji2yfhRK9D5+PM/WIpDSkcd9i6f1FSdRR4HRVuJNHEOh5gC3lFy9qHsTpps8c3YMzzK+I5xupkBXTZAMCCWMK9CeNY3a10f8xtBbKqIYI88mTdmkr40wnWKayMoy6Aa5REk/iWSq15fK9a3Fu9/dPNfwr81s+A134C2PUrwNh2QJAAQTT/Tb4Immhc/CNcCdtLB5r+bDq4JiOio4qT4ziLCsR95d1KMA1GidWJhRQfzJuquIVInaYQ6vHtNdwyN8fc1WPNKL7NhUUjj2+gdtFCK8tu/Z0nUk7Ed/3Xrx8xFQDHZ/1VfHct3NKj53FJMSfAoWaI7/J3fICxO9lf9zWFkgpdt/Gez88zvv29EG7pxurEeh6367enhPpSGxTfgPPivdJJkEmYBY2omq4ZM/yAruuM1YlbxfeSh24ba3u0rGqOXSkVfPCbe7HjIz/CJ3/ynOvPsUMuPcvcTwyOtvR+foKOH89PpzFLFjjWAgTHcbhpJ6v4+6NXnOfKW/VU4uLq7ZH5vXW2DBAgQL9iXBPw4dl5/MPMLN4/zfmmik669Pj2098bAIbidaxOVoDiGwBk0navl7oftGa9lgPe8z6skBUNOm9e+1Ji7xGkTMBlxpvim7U6WRnHLazEd4sZZL0KRdWQIz9pMj7uvHEd0LWXVfFN54Wjbfb4Btjxfiaz8jy+eTLmymjeyaAXUFQ0JIUF5rFEfHV3dqZJrIyjLoBrKCRIQVJaUHznF7CqeKR6N7fqisavEUMornlR9e5l+tP2BJsLUKLWSe1dAev7537CRQkzSeCQIIN7QdGYfR8qmH66C7E6alqr1Yni4e/PmYRMXg9BCHtPg2Y9vhtbnWQsxDdV1bq1uZhwUDo0tDoZMj3fTvjg8ZvvtXBLr4rvJq1OAOA5lwGXdzx5Cpfe8hO88V8fqPWfJ/7esi4gjWj3iW8X4ZZW4rtd+xxjiG+i+PbRo9HOUz0eEqoqZyU8giWdeOHPPu/bZ1dwcj6PdNEcF7avclZ8u1X+WWEdd4D6Y8Cx2Sy++fhJlFQdn7nnMBMO5RWZBfY4Tyac/75Ogy4wHj5iFjVWpSK2nUxvuWxd9di4cuMwbtjubpF1bvCS6u3V6aeb3d0AAQL0MNT8QvX2EuIdV3zvP2Uqvnesad1mpW645QpRH8qc+d3rSveJbztBwqKHdZgdZFWFKpjkXjLUO9foCkaJ0vZcg6K9FYzF4Urx+BbYDCdZXp7Ed7FURIaIYZKxsabex0nxLSsaM+Z2RPFNxnta5FkpXTY8Z3IcJXQ/V6EVyIqGGCG+OV1HvAmRZTexMq70AVxDJRMEUSs2b8R/8jHwKNuH6AmExs9z9/kbrqvevorf72hP0AhU8T3WwLqEtj/Oe1B8UzuTiCgwSlFV05mq/HDxZPX2kkviO8YVAS8TU0J8zyHZVLAg9fhmwi1denwX6Xfi8vMnUvbEd7SR1Qnx+D7uh8d3mwMO3cCr1YmsstYyXiEJPESew0FtnflgHeL71geOIl9SsffkIu47NMM+Sf29kQLAIdLlir4rxTd5PCTyvgRN2oEeU4zHt4+KHbuJJF3sh0MCjuikLW32sG+fXcGBM+aCZO1glJn0WkGfSxfdL3YzxVqypF7A5fPTZhFXVjVPWQ5W5Jfmq7eXkIDYQ5N3Sig9QohvJ7uZDSNxfP1/vhgfef2F+OxvXOZK7Q0ACyOXVm+vzT8H9IByMECAAP5CzS1Ub6f1qG9hZKzHt2IrcNF1Hfuo4nuND4rvmnDLlWd1ssCLOC6KOCRJmC0udHt3mM7SClpVfBdLGkq8+b6JJgMC2wlW8e1tnU09vleK4luSIhDIOCHL2Tpb9y/k3Ax0Mg9LJptT09LxjI5z1OYEaH+4JVDP43tlHLscZ57rMpoTc/YKZEVDnF+o3k/oAM/11+/YX3sboO3QQxZVRaHJgMsTv6jefFzbhlGX/mX85pdUb1/KPY98trnPZ4jvBorvQTIZ9mJ1whDfIaGGLKVhemNF0+okk3AItgQY4hso2xG4BSG+5/VkUxN56qtNWxCpIoHygrVWJ97DgsabtDqhxPfUYsFzECiFrGhVn3egm4pvanXiMdyyyQlwVBJwUCfH5MxBQLVfeNDzw+qjTxXf87pBtHVd8U2KLwWrQr3yeIcKHrSQ045wS8C+2ETHt5DAW4hv/xXfboMtgVoCxC3sFssn5py9846cYxdJXjp7rChmzHE2y/dWC3WKdIzQdtYL66glL10/hHdes6km6LkeSqMXIq8b24tQgKknve9sgAABehpa3iSelxD3jfimBU9V021zKaYWC1gg4/QOX4hva7jlyrM6+e5IGq+dXIM3r1uN7+eat5P0C7aK7xYK0wBQVDXINCAwMtjS+7UDo8nmie/SCvT4lgQeqxUVa0sKNsslQG1SlNfjyOfPMPcTieaIb7oWkFUNanl9O0uCLWMhoSNrNCroms2sPI9vjjfP9VK/E9+qhoho8lJJ9N/4szKOugCuoYfiUHVyIBebI57145T43t6QfK4gPHlptRVf4lSoxx5s6vOpj5Q34tuD1YlsEmlRSagZxAuVCV0xjQHVVN9lE5uc31SKQhPM/Y2pHr5/QjzO6c0pvmM2im9d15lCAiWc00Wr1QlVfLu7oDqFujQivtcORlEpjKuajqmF5lWH1oVXTOpO7q/3cEvzItpsG3IkJOAFfTUUvfx6reSoBKbfk/W3p4rv2Srx3e1wS2sXRi353Smlf4y8NxNu6WOrqr3i2zymwpKAo5T4nmuH4ttdsCXQvMe3ndVJPcX3Cxbi20uB0wo5Y47lOb63Wqid1PUXrvZX8ZaMx/CUvtl84MQjzhsHCBCgL/H40gv4RjKBH8ZjOCwJvpFsdNwH7IueJ0gX32gijIGYc+eQW9DiXqaoMNeRlaL45nXz75R7gDzM2RDfS3n3RXA7yIqGIm/O9ZLR3gmgrqAVj2+lxVD7foQkcPiPE0v40cnTuOPUFDaE+8tewS2GFBF3HT+F756cwuenFiCJzYW8WsezijUlE2zZAbU3wM5Lib6sabFWv4HnTFtWmetz4lvREOLNDtok+u+6uTKOugCuEZZEZGCepCgsOm/sBLUEnHy8evcx7Tymul0PgijhEf2C6n3x2H3ePx/eFN+s1Yl78sWqFA2LPGineJVQIyRiXg9BjU/UfV+NpDgnNC+Kb5OQmUPSdbgkRSxsviZbnpAu5EqMpcaWMdM73Gp1QlXubolv53DL+uRzRBIYf/BWfL4LVp/nUHeGRkbx7Yb4VlqfAEckHjIkHNGJsmD6Gdtt6SLF+tuzVjuGwrTbi0nrOWCnLOuUt7uTx7fE+3es2SkoaOhuWOTxgkZ+5zYovt0GWwK1Xq9uMx3srE7qKr5nWOLb2u7pBUp2oXq7SMKgewFWQqmCRgWIZj7ncY3Yl50MiO8AAZYb7sq/gL8eHcafjo9iT6rg2gqpESKSwJAeNXMJAGeWTCHDmsHmyB8rhizkeZZc+1eK+pCHeY0oaa0pq/1AzqZ7q1XFt6xoyAnmXKIXie8xF4rvHz49hf/xmYfw1YePM4/T7lQ/hRO9DEngUQQhapu1Ye1xCHIaE6qKraUStpSaD560jmeV7hY697XLfWkHnOal3V4fdgq8YF6/loPViSiY66kE33pButNYGVf6AK4RFnks6aR9uxnF95mnwSkGCSnrAg4IW5EMu1fQPiFcbO7PiQe8fz68eXyzgTfuCZG8xc+a4ziGaKv6kxNV5VF9FUIN1MR6dLB6O4VMtUWpIaxWJ015fJv7ViEEqb93SOSxdtAsjNQLt3Sr9h2KhWz9qRspvgFgvU8+35TQFXiua5VoWhkvKloNIW8FLUiExOYmwBWV80Em4NKe+M4zxHc9xbdBePaS4huoLXAA1vO4nVYn9h7ffnqK2+0/VcqFRZ5VfM++ADQZIGyHnKzgyKw5KTq/TrAlwFpzKJruOtPB1uN7wfn8t1qdeOnssULLmR7fRbH1wDU/YbfAiIUEbBjx15IlFZHwhLbNfODEI74eRwECBOg+sqpJPnN6tM6W3kHHqkUbhe9p0sG3esAf4jsqCY52LSvF6kToOeLbRvHdsse3iiwTEFhfbNQNjJFQwRmbDKWiouKD33oKjxydw1/csQ9Ti2ZhnwbL+ymc6GWEBB6yTuY3PRDM2g7wssm5FFqw0rOKfipza2pR2Ql/b4DtZKZYKcVGjvyOsk/F425BVjUIvDkWJfnOFE/8xMo46gK4RkjkkQZJT25G8X3i4erNffompBJJT0qRp8Sd1dvR2X1Afr7O1vbwYnViDbxxCzvCjJJbdorvI/qqhspcPWL6fA9yGWaSUxdUcasnmyLxKNmcLZNLdFI2ngzX9eWl4ZZuq7k8z9nanbhR364bNhdjJ1ogvhnVryT4pmzyigHLBKHRAqDkQ8tjlfhuEHBp9UGvVXyzVjtA9z2+rYvZglx7LrGdG+27JLLhltTqxM9wy9r3GqpHfJeyQPpMzWucMJMu4qP/tR+f/flhW3X2c2czVf4zIvENCVerNYfbBW/Whvg+vVBgWoDptlQ9CHgb52tArolKyF8ldauwszo5f1XS98DWVFTCHm2r+UDmLLBw3PkFAQIE6DtkNHPux+mxOlt6BzuPrB33KdG3esAf0p3juBrVdwUrRX3Iwfz7Zb03ie9WFd/5YhoKDQhM9B7x3Sjc8pnTS9UCv6rpuO+QOb+m83CpScFLv8FQfJNzt8OK7zv3n8Gvf/5hfOeJk239HIEQ33mh+Y5CSeCYDvSK4pt6fHfO6sRJ8b0yKEiBN6+dcp+frrKigRNMriXZpBVPN7EyjroArhEWBaQZq5MmFN+E+H5M247RhLfBdSq0EefKilFO14AmfL69hVuygTduwRBmZZKWklsFB+K7UUAQRwIuB5BlVL11QRS380g2dVGh9iK5quLbJI3GkmEkyEXMqrykAYJe1L52AZcxF6SpX4rvfMn8O7oVbAkY3xlVv9ezO1FUjfFLa97qxPh7n2ug+LbahNRTfFetTrpMfHMcx5wH1Iqngq5YnRCFm123Q7OwKzSwVicClhCvjq8APPl8/9+7nsNtDx7Fx354AF9/9ETN8zTYcvuqVEPCNSyyx7sdAWIHO09YVdNrCG6gVu0NtBZuyRdN4lsLDzb9Pu1A0ob4bmQ309zniJjFAI5qhFA4+ajvnxMgQIDuIUOIUV3319bJanNlxdSi/4pvgLU2pFgpJAxPiW+tNS9tP2BndeIl78MOhfwUcz+ZbC4gsJ2gxPdcVq7p7N17YoG5fz8lvsmaUFwhim9J5DHDizghCjgsiVgseBfENQtF1fChbz+F+58/hz/7ztMtWeU1giCbVoHFFohv69qnaOPx3THFt0P2zEopNvKEHFY4DqrS/YJjs5AVDSlNw0a5hBFFxZDobzdpJ7AyRswArmFYnRBlh1erE10HjpvE9+PaecwF3g0iYQm/0C40Hzhyr6fXZ4sKoyJoV7glE+RYHsBp646p+DZ9dI/qqxraaHAxVvFtF8hnCz8U34zHtzEhna5RfBMfaqvHt8134gYTFsV3SOBdKWEnh8xjtTXFNxtU2i1wHMeovu1agCugwZZAC4rvMiF7gBLfc0cAmSUM8xZlTo3dBDn+qlYnPbCYpGR2Q6uTNk7EotRGiHymn2pcu8U7tTqpFN1YuxP3Pt/PEGL7C/cfqVF9HyDPX9DA5gQwjvcUM564W4jbKb4Be59vO+K7lXBLqshB2N/QyFZhZ3Vy4Zr2EN8A8LhusTsJECDAskEWZJzl/O1uoTZX9sQ3UXwP+mezMuik+F4hbfeU+C7pvUB8+6/4Lhamq7clXUe4Bz2+ae6VptfmjjxpIb4feP4ctDI5zoba97mE1CUkgcMnVgGvmVyLN65bg3vn9nfss+eycpUbkBUNT51caNtn3a08hZdPrsGb1q7C1xKtqdojNkI8anXSKcW3s8f3ChlzhSRGFBVrSgo2yiUoSu2apF9QVDTcuBjG905N4Z4Tp/DB8Wu7vUuesTKOugCuERJ5LDFWJx6J78UTQPp09W4zxHdUEvCgtsN8wCPxTdXePAeMxL2EW3qwOqFkqY3iu2r7QRSVL2irGyq+eUp8wz3xrTPhlqmmLiq2Ht9LlPiOMH7tNYpv4tHrZSFhVXxTAr4e1o8Q4nveOdyuEajqxI23eDvBEIF1FgDWToBmfckrx+wJfRwKXylA6MDMQWY7qzKnhqSkiu+y1Um3Fd8AS2ZbyXvAQnx3SPFN4adHo73im7U6AYAjGiW+3Su+6VhwaDqDBw/PMs8/6yHYsgI6KXar9LLz+AaAkzYBt3bEdyuKnVDJvCZyscGm36cdsPNSvLANiu+wKCAi8djD+Hw/7PyCAAEC9B3SJIhLg79FvmSYKr5twi07rPjuVq5Lp8FYnaB+hky7oWp6VYlKYVcI8YJRJYyfHD+F75ycwqfPZIAe9NWNhwSmK9Zqd2IlvmezMp49Y8w9FG3lKb5DAg9BN/9WWe2cx/e5DDtf3H+6iU54l8hoaZwVRTwfCmGhxaJGQ8V3h8ItV7rHdyQ0intOnMKdJ0/je6emEO7jPBxZ1ZAE4VoivZVz5AYr46gL4BphkUdab8Hjm6i9j2oTOIcBjCa9VRWjIQEPUsX39DNAZtr5BRZQf+/heLihopJ6/hUVzZYcs4OdxzclnvIlFcjNMR7lR91YncSGq7cHuWzXPb6tVid1Pb6JlYSXNqaJFLuwcWNzArCK77ms7EiINUKnAg7dgE4S6nkeWwsijY4rJ1T+Xg08ZmObzCcsPt+1Vidk33SdVXyjRxXfNudSweLv3rb9cHhv0UfFjl2xi1o5VY6RI7p34lvXdWZsBYBbHzjKPF9ZmAGNgy0raNTybgen89yu+GWv+G5eURZWTHJfIEXKXoBVWcNxwHaXv4P3z7IEXJ7dB8jNd90ECBCgt5AllyaNH3besAk0mkdSsslP4nvQhvgWec7XrI1eBs+ZZJeit0Z867qOj//oAN7zpcdw6Gy68QsssLM5AVpXfAtyFqtUFdtKJWxVe9ODluM4R5/v+ayMo7O119IHnjfEJQpRfPs5f+xlSAIPQTf/1mIHwy2tRYl9p5rIPnOJgm7OYUNca50udA1eLHXP6sRJ8b1Sio0QLGNQh/3p/YSsaEhxZE0V6a2uVzdYIUddALcISwIbbunV6uTEL6o3H9fPAwCMNaH4PqqvwmmdTLSP3uf69V78vYHaibBb1Tcbiler+M7LGkMqLekxzCLV2OqE8fh2qfiWc+AU84I5ryebsm2gxHdOVg2yy2J1kgg7hxJRxbcXAnnc8ju59VoeT4YZwrdZuxNruGU3kWKsTtwT3822PNLfaTqy2XzC4vNtLQgxi9XiEqCZ+9or4ZYASwY3Uny3lfh2OKb9tDqx+77ZcEvj+SM68bx06fG9lFdqinA/PXAWx8sLtNOLBeaYOH+VOyVAo5Z3O1CrE9qBYqf4fsHW47t5xXdUNRf4Ury3ie9No3Emt8FPpCIiDuqTyOjlSb2mAKf3tOWzAgQI0FmUilkU6LXJd+LbWfFN1d4cVyuMaAV24ZYrpeUeAHjOXO/IcCmqccBDL8zi0/ccxl3PnsXHf3TA8+udREaZomIbVO0W1I6sKPZWADWFE/G918FKoxJwSbs9Vwp5KAk8eN2c35bUzpGHNBASAPadbifxbX5WmG/NP5l2FFT4inOZboRbOim+u78+7AR40fI9d7Bo4zdkxaL4DgeK7wB9DkPxTcMtm1d8P6YZxPeoC/KZwiCIODzUpN2JV+I7JPKIE1KqGeK7coGp8dQi/rmGypJrrMyNsh7fsuKiLSZ3jrk7j0RTbURxQiIpmg5Z1VjiO8V6fGesSh2b78QNahTfLskanuewbsg8XpsNuKTkZ7etTqjHdz3rhxI5LjiueQKVkr2nw1TxzRLfVi9GZrFKbE5U8FiAEcrSC8Q33YeiXbilTUhtO+BodeLjwsXunBuI1VqdMB7fc0cArbHyi3Z+VKDrwJceOgoAeJa0f64djDKfWw+05b1ehwMFVXyfv9pc2J60KL51XccLM5ma17cSbhnXTSI9nPSXDGoV1gVGO2xOqp8VlaBCwF5ti/lgYHcSIMCyQDrLBgQqwqiv789YXFnmkTTYciwR9vUaaUf2rBQCBgA4zpxrl1okvk+STI1nmrB/yNbprm3F7oQJCBT9DWX1E3R9StdZ1OZkNGEer48cmUOhpFoU3yuDxpFEDjyxOil20uokzXICJ+byWGxhDlkPeZjvG+JbO3YZxbeioaRqzFjbKeI7FhJs16crpeAoCDyKOpmbK+0LR203ioqKc+E8joki5ngearh3x1cnrIyjLoBrhES+ecV3YQmYNgMnHtO2A4Bnj+8KQfSg2jrxbVUSO4Gqvt1e0OyUohFruCVRU1bsBTwR38i6U3wTm4lFPQYFYlMXFSs5l5dVS7hlhFmwZGWVSSOnfn2tWJ14ISDXD7cecNkpn2c3SJHvt57im6o+JIEH16SPYTRkHicnpY3mEw2sTgolzTw26fGHBHRUCkHdv8REbQJeKKhXfzuJeqdjWvQ13LL2M2ghxQy3nDA3UIvA4smG703HVYpvPHoC2aKCA03YnADWlne3xLf5O1Irj5OW8382K9suoBdyck0wpytoGhKE+I72GPEdkQRGAebWZ70ZVAqgT9CAy5OPtu3zAgQI0Dmk0ybxLeg6IPnb3VJv3G9XsCVgb3WyUggYABjGKvzZ7Bz+8tws3pFt7e+mc8IzSwX3toxlUKuTeEhgrLjdFsHtIJEcDrlvFN8mGUaJ71+5cn11DltUNDxxbJ71+F4hVichgQenESJX7Rx5eC5bO/fd3ybVNyW+RbE1GwnW41vFvCXbZiTRGeKb4zhbuxMvHEE/QxR4TAkhnBIFHJFEFLw6KfQIFFWDpgMfWh3B6ybX4CUb1uGAPN/4hT2GlXO1D+AKYZHHkk7aa7yEW558FNCNC/KiHsfz+hoA3onvCvn0EPX5nnvBFTkD1HpSuwFNenerBmTsMZzCLYniu6KybNiaZlF8eyW+5/QkQmJzRKhVaX0uU2TUlVaPb4BVX9qp4N3AWqCIeyCfqc+3H1Ynbv3F2wXG4zvvrHop+dTuSI/ZY8IG84n0lOFRX4ZdW2pV8U8U37O6Sbb1huK7vtWJnWVRO+DUxeDnwsV6zsVCAjO5rEyE84hgilpJubA7oQWwreOJqsVIuqjgO0+cbCrYEmCPd/ce3+YYTS1VrItv6u9NrYAUTUe6iTyAUn4RPGcS5rFBf1WQfoAq7duq+C5fBxif7xOPGG0AAQIE6Guks2ert+OajpDor2USE+JdR/G92kebEyCwOklwo/i1pQx+OZ3FS1r00qbEt6azFjWuXk/mY/GwyNiWteLzfTf3NF45uQZvWbMK3442H3rfbowR4vFceX6l6zr2EuL7io3DeNFmc6523/PnUCKKbz/D0XsZksCDI1YncgeJ79lM7We1y+4kx5F1XYvEN9uBrmGWEN9RSWibDZ4d7InvFXLs8hx+c+0QXjW5Fm9YtwYHFg51e5eagqxq4KEiS8RaidhYF/eoOayMoy6Aa4RFAWk0aXVC2pwf17ZVVZ9ePb4rquPTGMW50DrziSPufL4ZqxOXn02T3l1bnVB1s1O4JfH4fkEzfHUbtm0S4jvJ5VGSXXiZEYJyHsmmQwUFnmMuRkfPmUQyxxlhGNTjG2DVOgWFEt/uScTBmMSQt14uyIzi2ybczg3sihjdwkATHt/N+nsD7O90RhsCIoPmk0T1bbU6AQhRmaPEt6mw6YWJDTP5s1EksZ0b7dtfx3BLHxcuVgXFoCVNnXabHNG8BVzScXXjSBy/fPlk9f5tDx7FM1NE8b26WcW3W49v8zc7byJZVYppOqsWPDJjEt8Xrk4xirKFrPeFdXZxlrmfGhjx/B7txtvKv8t5Ewlcs7V9xHylYLFH22o+mDsH3DJi/2/auwdsgAC9jpKqYd+pRc+kX69je2gQd544hW+dmsJHpuSmw7OdUC/bYWqBEN+D/hLf9orv7hfoOwWd+M0KWmvkoVVIcHLBm/AkayG+adG2nuijETJ6FlOiiOfCISz28G9LbUArweHH53KM+GrnukFcS67j9x86x/ifrxTFt0F8m2OGrLXHasQO1nBLAHj6VHtUu1meFDXE1joKrYpvSuB3yuakAjuf72bsWPsRosBDInoQuVSbO9QPkBUNcW4RKllIJROr67yiN7EyjroArmF4fDdpdXKcBFuW/b1DAs9McN2AEkQHo5eaT7i0O5nJePP4BljF94Jb4tsmEJGSpnlZYQiliuK7IRkYZVtKtfxC450hits5PdmS0pb6fB+dNQfokXgYosBDFHjmN2IV39Q2wv3wwnEcxlPmb+WFfJ4cbt3jO9chn2c3YJVQbonv5odyplijaMA46bQgPt+0LbVm/7L2xHcvKL7ZwFk7q5Pueny3U/FtXeTTBT7j8+2C+KadNOOpMH7zqg1VIvnwTJZRV7sNtgTYkLN6nvYUGcanUMIqogqkPt802HLLeII5t5oJuMwumsd5Wo8iHuns4sEN/uSXtuP+D92AH/z+db6TVRSVgsUCkpgOk04RXTWCLq3/AgRYZvjIHftw0UfuxOv++X58b+/pbu+Or5DkLNYoKrbLJawtRn0fS+qFWzJWJwMdUHyvEAIGADTe/D4FrbWAQKt1nDVjoxHyZE4ZlQTm+tyK4luGOVeJ8LE6W3YXdlYn1OZk82gcAzEJ120zVZX7Ti8yYo1WRC/9hJDIA0Tx3UmrEzvF9/5TbVB86zqyhFQMhVsTVtBxrahoTEhnp2xOKrAlvnu4KOUnRJ6DqJu/q1zq3S6UepAVDUmRtTbpR+K7c30OAfoCYZHHEvX4LiwZrcuNbDNUBTj5WPXu47pBfI8kQp4tNyhZti+8E9fge8adQz8GfvY3DV//5vkjeKVoTKguff5BYLaxR+BbF6dxnmhcyHYeGgTQuH3jzYsncK1oTLB2PncfsJjAjadnkRAN9fUlJyMAqewddevxHYqjBBESypPCvAsPJWJ1Mq8nW5rIx0IC5sq7TYlvakeSjIjVyRdV69DwQK8XtYlUpDpx9hIwOWnx+NZ13fMxZ1fE6BaYcMs6xDf1U2+F+GbteTRg3QXA8QeNBwjxbeePbSq+qdUOsTrpgYlNmFF81w+3XG4e34OWRb4kcOA4Y0g/whDfz6MRpi3ZCRtH47hx+zh+emDasg88No26T6P3qvguKirjbx8Pi5gcilXb46nd0ZFzZrDl5tE4nohJ1QV1M8R3fsnsrElzcSSb9NVvN9YNtX+xTxcyPxz6Fbxj+hMBwR1gRSEaEqvX4SdPLnR3Z/wG6fZc0uMt2anZod64z1idDPjr8T20wj2+dcGcx7es+G6R+KZdhLGQwKyNWvH4LsL8uyJ94/FtzK/2HF+oPrZrchCA0b01lgxjJl2ErgPUTMzP4NdeRkjgAI0qvjs317BTfL9wLot0ocQU8FpFsbCAIlkPSOHWbCTo+qtQUjGX7Z7ieyVbnYgCB4kQ30WlP4nvoqIhzi+iYmoZ0XRIkr+F6U4gIL4DMAiLAqv41kqAUgCkBpPPs/uqJK/GiXhS2wLAu783wNpc7BUuNp/InQPu/T8NX/8uwDyyn3b3mS8F8NLKa6bK/xrg7fRzDhr/XgzgxZXHSFf8OT2FJRhkUEPim+OQ4RIY0heMuwVvxPcsUi0RjnHy/VOrE6qeT0TEKhHGWJ00qfgGgImmFd/m8VpUNMykixj36AuZ6yHim3ZI1Lc6Mae/raixmC6FkgpMUMV3fauTqtqfdhzAJL57QUlVQ+xb0DmPbyfFt49WJzWKb3ZSznEcQgKPoqLhiE4q9S48vhkLqfJYcPM1G2uI7+2rkrYJ7k5w2+FQAbU5AYBEWMS6oSgeOWrcZxTfxOpk02gCQ/EQjs4aY9qCyywHCjljEt9Zvv/SzP0E9Wb/aehleMcHf5e5DtVgYJ3zcwEC9CF2TZoerNSXd1mA5PukEW0D8c0qvqlggRLfa3y2OklFpWrxt4KVojwEgLyg4GPDQyhyHGSex9+18l5Wq5P55q1OYmGRyddpRfFd4ExSNCK1L+eiVYwS1e1cVoaq6Yzie9f6QQDGvO3araP47p5TNe/h5/yxlyEJPHRidVLUO2N1ouu6reIbAJ6dSuPKTf4FnNNAYQAIRycctnQHq+K7m8R3KlpbIGhnR2IvQRR4CDqHSslKVprrTO82ZFVDVDTnBf26AloZR10A1whLFsU34M7n+8Qj1Zuzye0owCBG3FqNUERD5mF5VksB66/y/B69hl9oF1Rvu6nQZ3hTpcAXFhp/gI+Kb0qEOiu+7QPpmHBLj4uJq7eYPnZXbHA/mUhFJIbgO+Fx8g2wyhUvavN2YMBtuKXij8d31OpLb7U6Ka8Q7T2+y5NPG49vjuuNir6ncMs2/vZO54Ofim+rYn0g6qxuYxTf88cAtf5CglV8G2TEtVtHsXWcnf5c4MHmBDBDEgF3iu+sJZQyHhKxjvH5N85/VdNxbNYcCzaPxRm131zWu9qtlDWLkAW+d5VknQD93ZbyJSA6CIxscf4nep8LBAjQy9hZVmQCRsHNThnYt6CKb8Qhif52t1AFoKabJKhVmbjKZ8W3wHPMHAvojXlKp6CIHL46kMS3Uwl8LxGDojR/zLaq+KZWJzFJsMx9myc28zwNqx9s+n3aDbo+VjUd0+kCnjltEku7yPhyrUNeh+Tj/LGXIQk8hnOj+NDsPP7i3Bx+mRvsyOcuFRSmw/C8CXO+u89nuxNezuB1mSxekstjd76IcGiwpfcLWxTfNNyyGVFiK1jRim+L1UlR6c88EFnREOLT1ftJ9GfBOFB8B2AQEngUEEJJFyBx5clDYQlIrqr/whOmv/fRmKnSHm3CRyoqmYdlTlaBt38WePTzQH6uzqsMLORLuHOfkUYv8MBbdq9r6NICAEdnc3j4BeP9RxIhvPyC8YavuePJ01WF88suGMdoIoTDM1k8dtQgRyZSYbx0+xgWxFH81X2G9QvHuSO6snwSKH/97hTf5nczh2Rriu+w+drTC+ZElnpwO5FVVPHtlXx/2xWTGIhKiEoCbjy/8fdPsX44hoWcMQk5PpfDZR6Ic6BzdhduYFXAapoO3uaYaYvHt6wC45eYTxYWgaXTwMDa+lYnjMe8QXyGRd6z5Uw7EPFgddJOxTfPc4hIPHOOAH6HW9ZXfANl65eCghP6OHSOB6drhi/z/DFgdGvN9hXYKb45jsPNV2/Eh2/fV33OS7AlYPH4dqH4ppkC8ZAAnuewbsgkRyqL79MLeWbBsnEk3lSWA4WaW6jeLvZwC3Un4FWpHyDAcsOqVATjyXC1KPjUyQXceH5rKr1ewf+dfQQ/WrcGCU3D6sUCxgR/r41WIiRdKCERFpmQUJ5jBRd+YSgWYjp+eqEzrVMQBNaGTJYzEJssSlqFBKdatDpx2+3Y8H05HYAx94xE/FPk+o1EWERY5Kt2SfcdOleds4REnslKuXabPfG9YhTfIo94cQS/rpWJt/HO0FezpJgp8Byu2TqK584aFnr7TvtLfA/rwMdmDBHbjJ7CPZe3NubWeHyTv6U3wi37kzj1CpHnIOg8AOPclvvU6sQgvk37yCTXn79fQHwHYGAMlBzSiGIY5QP8nr8D4g28pg7fXb35rGgqRpupKlLVZaGkAkMbgFf+tavXPrL/DD705OMADDL0rW+8wdXrjhyYxoeeexQAsFmM4+U3vbTha/734z9Ctkyk/fDG6zC6OoWn95zCh55/EgCwOzGIl950DWbOpjFznxHMGRLckYE5IQWU532CK8W3STzOtxhuSa1mNNIOWlF5AsaErQJKRLXi8S0JPF6/c42n11QwORTDUyfLxPes94tKnpmAd3dYpKoXXQcysmI7aaCknl9WJ4WSaoSrJtcA6XJY17ffA0SH8KunFnCjxFaqtz6eAI4lgHOHqo/NokJ898ZF0Uu4ZbuLHrGQiEKJJVz9DCey7v+gXXtheaEkQ0IxvhaRzAnjidnnHYnvQkllFqKUjHjz7rX4hx8dwFK5CHLx2oGa19cDXexmiopjoYduU0EliHdyiPX5B9hgyzUDEURDAqP4nm/C6kQnQcMlaYUT31FvSv0AAZYbOI7DzslB/OQZQ2zx5InFZUN8T5fSOFUWocQEDmt8VnyHRYEh/dIFBasHgNMk2HIsGW6Lh/FQTMIRy76sFPAi26ElF5cQizUXomdVfE8t5lFSNde/GUN8hy2K7xauKVny8bGwPWHcC+A4DqOJME6VBUZ3lccRANixJsXM6ydSEWwbT+DQdIZ5Dz/D0XsZIYGDTCmrFjoVvGDWYg9yyTpzfrv/1JLdS5oHtZfSYy1bgdBxrVjqrtXJSlZ8SwIPXjf/Vlntz84wWdUgCGYXbZLv7DHkFwLiOwCDCimS1mMY5soX2P3f9fQee/RtqHgZNefxXZ+oqof9pE3s/FXuiQmqBHQTeqbrOgoK9bMWmP8BU/1MQwjdXsjyglnpF4suqspMuGASQy1cUOIOdg9jlnDLCqjHd7FU+510ApM2VgdewKh+Q929GFsnCIu5ki3xTT2+/Qq3rH4P4xeYxHc56PISAJdYf9JZMF72gFF4Abx7vLcLdD/oOVt9jByz7bQ6AewV5V78sBvBOpG0DfIi30cusdEkvuv4fFO1N8CO67GQiI+/5RJ87IcHcM3WEVy2YcjTPlPFd71CTwWU+K4U4KjiezpdRKGk4siMuUDcNGao3IY8jvMAAE0FZg8DZ5/GxJxp6aWEvBH8yw2MUr8FdV6AAP2MXYT4Xk4+32nSjq2pUYTbQEAnIxKKGTYr5kwbgy0rsF4XVwoBAwCChfguyhmHLRvDSnxruvH70fl4PeSo1UlIZHyAm1V8K4qMPJlTxWKtBQS2G6NJk/i+75ApYKI2JxVcu220hvj223u/VyEJPIo6mRd2yC7iHJn7jsRDjLDj0HQaeVn1b91ARG5LiLXcDcqufVirk5Ee8PheKeOuKHDgNaq+71PiW9Eg8GZhOiH0p31hQHwHYCAKPASew2P6ediA6cYvsGLtZXi+kAJgkLWjzXh8E3KITozcgBLfO9a4JyYGyUR4Me9sL1FBSdWhEjl0tEp8kwtNeVJIlbluB/q8aBLfktyA+Na0GquT1S2QzlEHxTNVeSbC5kUsU1ZmqJrO/K2dJD4nh80F0vG5JohvJtyyu8OiKPBIhMUqwedkI0CtTlqZ/FqPWV3XwV3weuDwTz2/VyG+Fs8X1pTftzdUVGwxil2oKarGHLPtDja184/3s1W1xuPbxuqEHivpxAYM4z7jzqOfB449aPu+yZyMz0rGGCMJHELf+irz/KsBvHo9ABnA173t86Cu47OSqXSSvvlloM7vcP5iHp+VjDExJUvAf34Oa3Ud/xY6Ww0sU77673jRXA6flYyxYDIdBf5zADfN57BNMq4RI8dDwH/WaYPWdSA9ZQS8llsTaTyjHlnZxDctThQVDUVFXVHKyQABAGDnusHq7b0nF5iQxn5GWpMrbhFQtdbVh3ZIRcSqL3pF4dvOYMsKBlcy8S1Ewek69PIxKsvpBq9whp0w6eR83j3xXaTzbn88vjMZNiAwHl/tsGVvYIzYgdJCgh3xfd22Udz6wFHmMT8zYnoZksCjCEp8d4Y8PEfI4rFkGJtGE4hKAvIlFZoOPHtmCbvXexN7OKLIKr5b7QbtJcV3ylbxvTLmiyLPgWMU395tFnsBsqIBgnl9ToruxvleQ0B8B6hBWORxi/ybeEbbgPdeFsNw3CV5HRkEdv0Kzn3qYPWhZjy+7VTTbvEM8dzascZ9yBpVAmq60XZpRxpVYFU6VAizqA3JJjMhhO4m2AWSRC6VFupvXFw0PHrLmNOTLU3knRTf1OokaePxLVvUtJ28qK0nE+2TzRDfHQo4dItUxCS+nZQvrMe3P+GWmm4UasK73wEMTgIzz1Wf++IDR2rCi3asSeEtu8t0oBjGw/yVUL55HID3cNN2oR7xbVWAd4P49jOcqMbj205lQf7GpdgG84m5F4x/NhgE8Et01w+0sJMW8Nb3dhaeAwBWA1hd2V429oUH8Er6px8BLgBwQWW7RePfJIDJymMFNP13aDqH6fFrmnvxMgG1OgGM60A40RvnfIAAncLFpPV9IVfC8bkcNozE67yiP5DWS1Xiu6TG22I5YjePpLkyq1LtUnxbwi17pEjfCUiSiJAOFMu/rVzyPl+uwC735eR8DoA76xRqdRIPC2xuRJPEdzp7pnqb03XEEw3yqboMp65oO+L7yk0jEHkOChFd+dkx2MuQBB6LUgEfHx6EzHFIChl8oAOfa1V8CzyHC9ek8PgxI3tr/6lF34jvA4sv4Pl4DClNw+FiCBtbHHPpeiAnK0yuQafDLa1dnBznr81jL0PkefA6KUL0qdVJUdGwKxPGTeos0jyPrduv7/YuNYWA+A5Qg7DIY15O4Avqa/GGK67BsM0F2Am6ruNc5qnq/bEWrU5kVYOiaq5UkfNZGaeJWmTHWvfEdyoigedMT+v5nFyX+LZO+Cr2AREb24hSE17MBaL4DjVSfGdNrwlF55FGrKWJfCxsPyw4WZ1UlDrW76Sjim/i8Tu1VPCsPmRbLru/CEpFpeqxvJS373popqBih4jl7y3IGsIxCdj6cuNfGd94+F4cUFl10EtjY3jLVVdW7y/tPQ2gTHz3jNWJM/FtVSy1u+hhp4IX2unxbWd1Qsagk6PX4GJeBLTAo7kuOB4Y2Yq75sbwRHEdfqpdij/aelW396qriEoCBJ6rdj4t5UsdX0wFCNBtDEQlbB6L44UZI1PgyRMLy4L4zujm/KKoJdui+LazSzrTAcX3UHzlKr5FnkNI11EsVzWKJf+sTgDUiCPqIccITlirk2YDkyU5j1dnssjwPGTwiIbbcwz5Bbtr5nA8xIh5KkiERexeP4RHjprdd8uhu8QNQiKHnFjCVwaMtfEaVesI8T2bNUnKym91ESG+9/no8/3jxYP43LjhSX/JYgG/2yLxTdcDdFwFuuHxzfIpbvPOlgNEgcPmzCBerhxHWNdx4XBv2y85QVY1nCereI1azk8aPK+7O9QkAuI7QA0MwtCYdFAbADdYzJcY7+Gmwi0t5E2+pCLp4gJAbU6G4yGsSrmf8PA8h4GoVA08m8/J2AjnxQsl0DjOnDhT4ixvo/h2a0khS6aKKFxqcGEl/t7zSEAH77viOxkWmb+NEt+ZovGdFRQr8d05AnnNYLRauNB14PRCAZtG3S0+NU1nfZ57QP2TctHyyXh8txJuaXO+DaC26GOn7rGG2lE/+15RUdl6mJdRU8Bq8wLYXvHt32dKAo/tE0kcPJvGUEyyXTzRv3EuvA747fuAIz8HdOex/p6D01X/yYvXDuCNl671bZ8B4FP3PI/ZjNH+97YrJnHehHM+w8+fm8G9z83U7Mt/PXkae08uAACu2DiMR4/NVaIm8N4btmI4HsLZpQL+7V5D1S4JPP7s1efX37FwEhjfAYxfgOkij/f8rWn/Y6fIWkngOA6piFi9ZrYSRhYgQD9j17rBKvG998Qibtrl7/jYDaQ5HRXJd0FJdU7xTQiaVQPtsjph5ze9YsvWCYgCB4mE1rei+HayOnGLHMnriFmsThbzpaZsg1ZxIv5hxlgTndaHkenxooZdV/TOdQOOf/e120arxHerHtD9BEngoWjmd1WEXmdr/3AuTXyxy3zGDuLzve90A2GaB2RKZiA7r4V9sDoxjw8aGhwW+Y4LvKwdgiup2CgJPFbnhvCOiq0U155OpnajWFIxBHK9CLsXl/YSAuI7QA2osqPo0Wqk4tcHGNXoAZtW+0awqi7zJbWmWmiH/eQCdOHqlOcJ01AsVF3E05YgOzDWGJJQ/ayoxaZF13WW+HY52JdIcFpYaXBhZYItjYGolYm83QVxLMUWMOjvka4qvs2/U+C5tiyUnBASeaweiFZDYo7P5VwT30WL3UUvLIIGXChfmimo2EESeKZ90k7FA7BtqRVkLGQXJZJ7ZWLDepizv7XTedwuxGz880Wf2/3+9dcuxXf3nMLLL5iwVbDT30VWNGDiQuNfHfzo9FP4T9UIwfztTZvxxqsu8HWff7LnAexZXAAAXLxhF86rQ6zfN/sMvqAeAQD8xpoNeONVFwEAjmQP4QvHDGuee9MJHFIMJZskcPhfN7wKEHjoiwV84e4yea0CH7j8Va7P96eeN33IJ1JhTHgorC5XpEixOAi4DLBSsXNyEN/ZcwoAqsW3foamKsiQy1JOG2iT4rs2JP0MIWiCcEv/IfIs8V2Us84bN4CdFeVJD+HyNVYnhBwrqYYgxWsXnl5YrDj0IK3H2hLK6ifGkrXziF2TztYZ120bxSd/YsxzOq3a7SYkgYeim9+V3CGxMFV8j5SLFBeR/LDnzqZ9yzdJ0yKUGmk5/4eOa/RcHYmHOq62tnI4vSKM6gQEnmP96fvU6kRWNaQ4coz2ac5Rb18RAnQFdLAsKvYkmBNmaHU0Hq4bEFnv8+mYbKcqsAMbbOm9EkWtTeZz9cMH2DBEcwAPW+wdigobnueWDC6FBs33V7wovg2lZCs2E3bk3LglpDQRpopvg/ykx0o3FhI04PKEB59va4BqT1idRFjlix388vgGLKpoh/PN7vG0hZSnxHcvFBAA91YnnfB2t/sMv8OJto4n8cFfOh+XOvgOMoVNxV1hc4b4HDZjX9UIbCGtPoGaJedrnIxD9Pw/NG22b68fjlUXEFalX6MCJwUltGig3UqGnWIzQICVhp2k+2PfqUXm2twp6LqOx47O4bGjc9D11tSQ2ex0NfwQALLqQEvFdSekLAKKvKxWC2lAO8MtLSTMiiK+eUi6+dsWleYU39Zg8Aq8KL7zVqsTCznmNPetBzVnCoWWEKtZk/UabBXfk86E0q7JQbzrmk1YOxjFH7+yP60GmoEk8JB1c+5Z7BTxnSHhluW577aJRHUeXVJ1HDrbvF0QRUYz59maFm15zHVagw03kb3WKpKRlaz45iDrnQ9m9RuyoiFJFd+R/lR8r5wjL4Br0ImCNbCwEajiezTZ3ODKcVxdewInPDNlEsQXNkF8UxVII0KEVk/pxcVqG1EoqU0qvgert8NqBtDqfAeM4tsgvlupPsfDNopviyrBjvBw+k46Berz7YX4th5fvUDYukm3LzVRUHECrb5bLWsAY1Gd82h10gvfI9CA+C7ZF7DaBbuiSquqDq+wJr27wTQhvsfboHS2ywxwQqZo/mb0deuG7BPGN40mqrcjksD8BjTlvhH2njQX1DtXuM1JBUwYWZOerAEC9DsuWJ2sFp+LioaDZ9INXuE/fvLMWbz1Mw/hrZ95CD955mzjF9RBOnOauZ9Rh9ru8Z0ulDBF1N48154iK2Cn+O6NuUonIAkcRJ1DSNORVDVAbW7ctgaDV3BmqQDFZeEnS6xO4iEBEUlgCLFmrilqbt58vR5vS8HGT4wma4/xejZqHMfhL19/IR74sxvx5kqw/ApASOBRYhTfHHSt/QXGmUyt4lsSeFywyrTje/qUP3YnS5o5H1XUWMvdoE7k8ki881ksksDaq6wk4lvkeVbxrRScN+5hyIqGz47p+MvRYfyf4UGcgTdhbK9g5Rx5AVyDThTcKgIrYIjvFiatdIC0s1iwIi+reGHGrLruWOO9BYOqQBYaKL5ZZStPbtfatFBVhNvBXg0PVm/z0IFCnQtr7lz15rzeGcU34/FtE24Z6cJFjfoZn/DQbklVv2GR74mUdNry6aR6aaaTwAnREGmJsznfSqpeDbGjyMgKNPJ4t48BO9Bzwfp35B3O43bBjlz3W/HdCIzViepu4jKdNidq7SAjUgzxXX+xmyHP0zwCqvim2DzGWh6xBU53xLeu69h7YqF6P1B8G0jZhNMFCLDSEBYFXLjaFFt0w+7k7oMz5PZ0S++Vzpmvj2oaFITbQiBaBRQ0gG0i1XqrvxNqiO8eVwX7CYHn8VcnJTx+7AQePH4S1yc2NvU+Tp2BqqbjzJI7Yseu487q8+0V+xaP4AfxGO6LRnBUEttSsPET1nXyptG4bSj5SockcpA19rsqlZq36XGDoqIy4h76WzE+3z4R3xkSMl/SEr4KmihGumSRQ8f7lVRsFHgOU5Ec/mF4EH8zMoQvy1Pd3qWmIJdU/DQh4bvJBP59IIU035+/YW9fEQJ0BYwi0KPViV/EN6PSdEF8P3tmCRU+KyoJrv2dKehkeN6LxzchXyp+ydXtZLUpL2Y9lISik23z884b5+aqN2fRuuLbTpVaS3ybk1NZ1VAoqay/czcU34T4Pt6k4rsTdhduwCop7RWwpSYKKk5o1GHhtMjRdYP8rqAXrU7sujCqt3vB6sRnj+9G8JrhoGk6zpF2z/FUO4jv2swAJ2SJ4ptanYwnI7aWP9ZrwSBjaeVuYX1sNscswi9e15/edn4jsDoJEMAA7QKhRbJOYTFvjtHUmqoZREpFvDqTxTW5PHbmjWtEKwHaTkhaCp6dCLYEVrjVicChhNbb7q1zQrrec2N3Yu0irAhu3AS718MP0wfxofFR/N6qcfx8oNjzxHcqIjLrwpUemu0ESeAha6y4oVhsYAPaIqjNCcB6qlOf732n/dmPNFHQFtVEyxaWTmKebnnD03n+Sio2SgKPuVABXx5I4eupJH6utfe4bRdKchpFEqibjK/q4t40j5Vz5AVwDTogeVZ8E4/vTiq+qb/3BauTTal2h5r0+I5YSGZrwCUlvt1WcEOSgEUQwia/4Lwx9fhul+K7JtyS3SZdUJhjpTse39TqxEOyPPktYz1C1rqyOlFM5XLLiu8GxHeu5Exq0YDLbh8DdrDrwrC73TWrE76z3xOr+G48vs/lZEYlby2C+QGGAGmw2E2T9mj6OoHnsHawVvW9edRZ8d1onK+AKjg3j8WbCm1ejki5COENEGAlgHaB7D3hjwLQC+az5vnXKvG9gY/iH2Zm8ZmzM/jgGWMu3R7FN1vwpMGWa9oUbAnUWl6tJPWhJHAo6q233VvnTrTjyg3xXVQ0Zl4R90nxnSGe5Zzank4FP8FxHOPzvTMoqtvC8Phmi2FFub2WUpT4TkZEZi1x0Vqzw+fZqSVfch0yHOmeVVOtK74dxrVueHwD7Hy9189LPyEKHDQy5hb1/rQIKRXYTrJkMiC+AywTMMRIS1YnzQ+uXj2+nzltLjSasTkBgAEvHt+Ks1I0bNl3ekF0qz6QBB4LuulNi/yc88Y2Ht+tqG1tPb4T7IQjKglMcSFTVLqu9qUT78V8CYsu1ZyM3UWvKL5dTP799Pimv5edups+JvIcU1ihSs9uHwN2sO4H3ccpojCj6uF2IWpTVGpV1eEVXj2+KYkSkXgm2NYvWAmQemB8QS37YufzvclqdULULvMuPb4pkbUrsDmpIrA6CRDAAFV8PzedroZ+dwoLef+Ib2qtt1QWYIRE/69TKUvHCFV8r26j4htgC7hWIcdyhsDzKIKszZpVfFs6Jem196QLq0HrPLOyjkp5KILbIa2apDunR8Fx3bcubIQXbx4BYKwPbzx/ost705sICTxknS2GybI/oZJOqNfBft5EstrdLSsaDs+0ti+aIiNDjtWcOuAD8e3k8d0lxXeUKr57Y33YCUg8D00zv/Oi3j5v+mwb5x2KbBLfvK4jFhlu22e1EwHxHaAGIcbqpHnie6wFZSAlk90Q31TxvaOJYEugBcW3ZQCnfsnFJsMtJZG3KL7rWJ1kicd31eqkvYpvjuMYAixdKDEkWif8kq0YS4SZz6U+37Ki4V/vfh5/8J97aiYojN1Fj1yMB1woKRmP7xYXpfR8swZAAqwqPioJNaFU5mu7ewzYQeA5Rl1A/777D5nnTidaTO06CoQOK74ZqxMXVlZMsGUy0paFJPW0Tzfy+CYTOysJb/X5ToTFGk/yoSasTqji+5JAkVVFYHUSIICBzaNxJMvjka775/vqFjSvYCZThK7XZnK4BiG+02WyKST4PzeydoxMLZikZTutTgDgt67fjJDI48pNw9i9fqitn9VLkHgOBYgocsASzyHXpGo2b5kT0m4rN4rvrMxeLyrrDlbx7f2akiUBgdC9W152Ax+9aQf+5o0X4T//54uxfsQ+pHulQxI4aBAhknGt2FHimyWLI5KAbRNmwOW+U63ZV2SzZ6CTuXVGHfLB6sTJ47vz4ZYAK3DplY7gTkAQOKi6efzIbSC+NU3Hzbc+gos+eif+4UcHfH9/ACiVTJFlQgO4Dq9d/UJ/7nWAtiIsssStF1ClSSshaNEGClSKkqrhwBlz8tas4nvIi+K7jkUCtT7Jl1QUm1B8hwTOovh25/Hth+Lbjcc3wJJOmYLCkGjdaB3lOA6TQ9TuxCC+z2WK+LXP/wL/586DuOPJ0/jof+1nXsdYnfSM4rtxuCXTSdCq4lukxHftRdmq7nEivHpR8Q2w9k2Vvy8nK3j8mHleXbdtrO370Qse316tTqZJUFUrxcx6SIYbe9pXUI/4tiq+N43Ga4j6QY/hliVVY0isnYEHZxWB1UmAAAZ4nsMlk+bcs9M+31SsUVL1pmwiqijWKr5bLa7bgQlJLyo4vWBea9bY2Fb5iV970QY89ZFX4hu/fRX4Hgg07xQEnsPXx5dw+cb1uGbDJG6b39vU+xQsweDrhijx7U3xTUPlW72mZHTzNbqerLNl7yAVkfDrL96wogowXiHwHDgOCOk6RF1HXNOgKu4tLZvBLOkItCOLLyIiu1YLnek0G3iY0dqn+O6W1UmKCbdcOfSjxHNQKPGNForSDnj8+DzuOTgDXQc+8/PDrXd92UBRzPVy3P8/oWNYOUdeANdgiG8PvlW6zoagjXZI8X14JlNVVQs8h20TibrbO4EG3jQiROopW6373ky4pSTwWIAL4lstMYuUOd24ELdyUbES+SGBt/W0ZYOJlJ5Q+663BFw+c3oJN/3LA3j0qPn9PXJkjiGN8z1I1tLvu1DSbJW5JdVHj+8G51veUhxIUrU/ISIL1OO7R75LwOq7b/wtDx+ZqxK/yYjYEW9FW+K7w4tur+GWMxmq+G4T8R1xp/iWFTYzIRGxEt8sWWIXcuylswcAnjubrnY+SQKHC1Y311G0HMG2pQeK7wArG4zPN+kSaTeMcHF2LG9l4bt36Qh+FI/hgWgEJwTjHG+3x7euA0dms9X77VZ8A70z3+skJIEHp5OuXtUvqxNvim8nwUnLHt8wzwON6w/iO0BjcJzRufm9o0vYc/QEfnHsJLZGxtv6mefIGDpiQxbTkPP9p1sjvscg4Dsnp/Dvp8/gE1OL0CG1LIrpZauTlTT2igIPRTPXTsU2EN8PHTbV2JoOfG/vad8/Q1XMYzyu9+/vFxDfAWrglRipYKmgMArCVsIto5K5oG4UbrmftBhtG080PaBSxXdWVuv6m9cLxYtIrHq2GauTkMhjUXdhdULU3gAwh9YV3zzPMRPRsWTY1t7AqtbpBbUvDbj83lOn8ZZPP4hTC+wkvKhoOEg6BKykbi+AeucC9qRS2zy+G1idROpYndAOkUgPVfTt/r77njNtTq7ZMgqxA2ErdlYnnQ+39GZlNb3UfuKbTojrWWZY/esaeXzbE9803LLxwpr6e1+wOrWiJuyN4DQOBAiwEkG7QToZcGnXodgK8f3d9PP44PgofmfVOB4ZMNS7bueuXmD11qZz5XaGW65kiAIHTjOvYbLW3LhttTqh194ziwUoDURT1OqE2iu2mhtBAwJ1btDz6wP0LkICDwVkzGgymNUtqOLbjs+gIojnp1uzXZFKOWwrlXBpUcaOvHEOSC2uDUSBtxXWDHeJ+H7lhaZ//csvaG/RopcgChwU3Tx+5DZonR48fI65f8eTp3z/DEUzubYY+jcXo3eYiQA9A6/ESAXUD0vgOQzaqITdgvpk23kOU1B/7wub9PcGWMU3UF/1XS8Q0UqyNWNJURtu6UR8m1W+vB5CAcbg2mobEZ2IOtkbWEkPGvgZ6YLVCcAS3/tOLVV/J55jlSRPkjbkekWMbiEWEpgJi13LJz03W/WCa2QtlC/RRUodq5O+UHwb+3jfoZnqY9duG+3Iftj553c+3NJbeDFjX9UBxXdOZsdMCmtgXDxU3+N785gN8U3DLV0ovqllQeDvzYJaMjWyqAkQYLmD5kScWshjOt1eYqaChXztOEY7dbyCBgTqqqG8bofiWxJ42+5Agefadq1Z6RB4DtDNcbuougt4tsLaKUkV34qm42yDwouT4KQVxbeuaciQ6ZTOB9YhywmSyKOok3V6m4nveh7fAKucThcUV7kKiqrZF4WYXIUYBJ7zxYLJygWEhPYE1LvBpeuHcO8Hb8CdH7ger7podVf2oRsQeZb49tuEpFBS8cTxBeaxvScX8UKLgatWqLr5fjGueX6v2wiI7wA1CHsMP6uAaQuKh1oatClB1Mjj+5kp84LRrL83YJBjVNVSTw1IAxGtJG9Uoor55sItQ26tTnJmla+i9gZaV1zTiaiTypNRfBcUpjsg3CWrk8mhWpVQMiLi1ndeiZt2rak+RsksJrjRhpjsBjiOY1SwdguAUhPe8U5oVGhi21JFR2uK3lV8m/uSL6mYWszjEFFoXN8Bf2+A/Z4rELppdeJifJ+xhFu2A0lLh0PGgUSlxHcsJNR8d2OJMDN2bRmrtb1irE6yLohvYllArQwCsOq8TFGBqvWx8V+AAC1iIhXBqpQ5Rj7VIdX3fLZ2fkA7dbwiTewvNM0QE7RD8Q3Ujv0AMJEMd/y6uFIgCTxDfMtacwVLa85RRBIYVezJufo+305WJ60UU/P5OaikO1URRjy9PkBvQxI4FEEIaMV/H2MKxrrVRvFNCWRF0xsKBQ/PZHDtx+/GNR//GQ6dtYTKFkwB3xJivglirAKkkUSoLQH1brF+JIbtq1aWBZHI8yhp7VN8P3Fs3lbEdPuTznYnU4t53PSvD+BV//deHHZJkJd004osyrffiqxd6B1mIkDPIORREVhBo4uEF1Ditp7Via7reIYovne0oPjmOI4hReopvqm62erbG7GoZ+UmCEpD8e3G6sRUfM+RIJdWiWeG+E7Z/5YJi88zo/juktp3o8XaYNNoHLe/9xq85LwxR//NekGl3QRVvti1fPppdRJtYHXCtLWGrFYn/RBuyXp833fILBhtGIlh/UjM7mW+w66w0upv5xVsYdOF1QlRLY45jAWtwqpAcbI7oVYnVpsTwBjD33vDVog8h1dcOGF7PaBWJ0sFpW5Ldk5W8BxZoOwKgi0ZWC2ZnAoWAQKsFOykAZcd8vle9FvxTewvSmo53LJN16lUpHYcX93mYMuVDIHnoDPEtw9WJ+X1ghef75yT1UmDeW89pDNsQKAmdKaTL0BnIAk8ChBRApDlOMiyv4pWK6jie8SO+LaMXdaORCu++dhJnFkq4OxSEd98/CT7JFF8L+kx38ZbqwCpWzYnKxkiz0HWzLFR5TgoJf+6FR56weSBaL349j2nHLsQPvpf+7H3xAIOnEnjyw8dc/U5IU3BsKpC0nXE+P69RgfEd4AaeCVGKmDaglpsU7QLo7PDyfk8owpoxeoEcO//avW3o7CSiLLinaCUBA6LrhTf5oA3T4nvFq1GKKk0lrCv7NVYndBwyy6pfbeNJ/CS8wz17svOH8ftv3dNVfW5a/1gdbtD05nqJIWdwPfOkEgXhLaKb8W/cEtrscYK6/FOicoMQ3zTgNPeIb7pOVm0EN/XdcjmBHDw+O6w1YnXwiZjddJiQdMJAs8xgal21j4AG6SadGjXfO8NW7Hvr34Jn/vNy22VLVZLq3rt1PtOLaEiYo6HBGy2UZCvZFgXfk6/W4AAKwXU55taqrUTdnPVVjy+M7o5zpY0g/jupOK7E8GWKxUSzwMasTrRmytWUoFErCni20Hx3YLHdzpzpno7rOkQpJWlLF3uCAk8blmjY/em9XjxxkncObu3bZ+laTrmGI/vWsI4KgkM0dio8D+XLZLbbLHyP2YewZvWrsI7Vo/jR4OKb8S3VfEdEN+dB89zUGBc03hdR1TTIJf8K9rQYMvfvGojKsue43O5GgsUwOh4v3P/2er9qcXGYcQA8PqlGH5+/BSeOHoCvxG+tKV97iZ6o68/QE+BDpRNE982FwkvoBMhqgywgiYprx+O1SjQvGLQpeLbU7ilahKUXsIt3Xl8m+GWrNVJaxfNCaLs3Dhqr4Z18nkGuufvzHEcbnvnFZjPlWou8JtG4khGxLIXG/D0yUVctWUEuRJr49ErYJQvNhMqP61OmGPW5pzPWRY59LdfYjy+qeK7d4oIdF+ysooHnqfEd2dsToDa7hAAtuEz7YSXDIdsUUGWLFCduj/8QDIiVoltJwK1keK7gnpFl0RYNDz3yoz2fK5kq+YBgKeIYvPidQNB+70FlYJF5XdbzJcw2eV9ChCgm9hFO8tOLEDX9ba3lttlFbRCfC9xOgBjnwuKISZp13XKGnAJAGsC4rttEAUOGvFJLmru7SwprIHnALCWIb7dW51EHTy+02X7LLfX3Ukhhm+dnEKG53GWi+Pr470jvgjQOiSBB6+bx0JRcUfYNYPFfImxbrObI3Ich3hYrK5/Gym+6fPWoPap4jyeDxlr1p0F/7J/rB7fIwHx3RWoGMKeI8cJ6erP+jhbVJgC+5t3r8XBM+mqCvyOJ0/hsg1s1sEnfnyQuW9nlWaHiGpanfDhweZ2uAfQO8xEgJ4BG37mweM7418IWiPrhQr2+2RzUsFg1KXiu46ftTXckn6HYS/hlrBYnWg2JFXWJPAqim+Oaz2I6Lev34LzVyXx8gsm8KqLVtluYyW+KYnWarhmK+A4zraqzfOcrd1J3mYC3wto1PIpM1Yn/oVbFhopvkMCU2BiPb57U/FN9+WJY/NVtYXAc7hqS+d8IMMiD+saTmwxud3zPkjuO3qmCXnCc8BIvJ3Et719DgVV1DQb0MNxnOuASzqh3BnYnNiiXgE0QICVhovWDVQVV0sFBUdn6xOAfmDRb8U3uUbltAGERL5t5L2dWGX1QP+2Ufc6RJ4lvktNKr7tLALXDZkiGS9WJ3EHqxOAnV82QriUw/ZSCZcVi9ieC7etSyFAdyCJHASdzl/bF25J+YyQwNtaMgFs52Ej4pvOj6zbpksmqchpYd/WBbWK7yA0uCvgw6zS2Cd/+seOzVdFPMmIiB1rBvCmS9dWn//vp6YYkdxDh2eZjmcAmKuzBqKIEY9vRFrn27qF4KoQoAbNWp3MpM2Tp9WWeKoAoCSzFX4T30Nxd4rvYh3Ft9VWoalwS6viW9cAOV27oY3Hd9iHRcrOyUH86APX4/PvuNzRNiVhueD3qr8zBeO/WSa18iU2MK9X4MXju9VCB3u+NbY6sSO7dF1nFN/dLH5YQc/Jew/NVG/vmhxsuUvECziOqxkvOm51ItDxvX5hk5InI4n2Bo7RUCtH4tul4rsR3AZcUo/eXUGwpS3YzpTA6iTAykYqIjGhut/b6xww5RdsFd9NenwXC4uQyfwxpw64Fmw0AzvF9+pA8d02iAIPTSOKb939Go/CruuVWp2cWnBvdULnn8mwCLp8qWdFVgPik5xGNCC+lxkMxbf5m5bU9oVb0syyeoGQdB5qVXFbQeev1uyytGqS+Lrq37Fbo/husRs/QHPQeQka6VaAT0WbBw+bJPaLNo1A4Dm86uJV1eNnLivjvvKaV9f1GrU3UH8NRBHTKPE94LxhjyO4KgSoAUN81yGdrZhhrE58VHy7tDpp1d8bAAaJx/dCXcV3vXBLntlObiKEUBJ4LIENarS1O6HEN1Llz+8MeWv1+O5VtS8FVXxX1Jz1/Nq7CUrIWif/mqYz6tdWJ0mNOiysVifU2zddNPZNVjXQHI1eOgas9kMVdNLfuwJrwGWnFd90fGrk8U2DLcdb7OJphKQLb89s0TwO7QgTt3Azzs9mijgxZy7eLwkU37ZoxZM1QIDliKtJF9E/3vUcfrTvTJ2tW4fdGDaXlZniuFtYAwLT6hCkNhKItsR3EG7ZNog8B1U3r+VFNEl82xDXk4T4Pr2QZ6wi6r2eCk54a95H3oMinQkIjLe1YBOg8zCIbyIsayvxTUUfzmQxXQs1tDopOFudpMnfomox36ylAquT3oAo8CiCiKx8Unz/gvh7V7qXUxEJL79gvPr4d/cYxfe7D07j8WO1PNJ8ToZWZ6yuIC3kMMfzKAHgAuI7wHIC6wHrweok7SPx3UCBChgXprNL5mfuWNP6icgoAet5fNexx7DuOw0h9KL41sBjUSf+2o2Ib6L47gTogiVTUJhjpZfUvhS7CHk1tVjA2aWCo/Kk26AKWKuS8shstuq9zHHAplFLkcQjPIVbhkSGpKxM5gqWIlmkxYBVP+FEwnfS37sCa1dB5xXfrMe3U+o3YAm2bDvx7UbxbZ4H8XDzx5ebcf6pU+YiejQRDnxnHRBYnQQIwOL9N27D2jJ5q+vAB76+p61Bl87FO3dKLgoaECjqOgp6vOWOsnqwC7cMFN/tgyhwEOUhvHNhCb89v4j/ITd3Hc3bdHiuHTTXK4qm4+ySs6qRZodYu7cGYs6ij7qgxDdiNTaUAfobIYEHp1Hi2/v45hazLoV8tPO50fyHEuM1Vie6eZwrasy3cEvr2icIt+wORIFDERIUADmOgyJnG76mEZYKJTxN1ilXbTYL7jftMu1OfvLMGaQLJXzizueqj126frB6W9PddWu+d00YL9mwDrs3rccRLLS2811EcFUIUANKzsouFSO6rrPhlsnWBleGPLYh4gDW5mQ0EfJFkehW8W3nb1cBqy5lFd9uie+KZ3PDgEsSbjlfDrfslNLWesEv9IHiezwVYRZVe08s1P0tuwlqdWKd/NPQva1jCdvFoxdQFXDBzuqE2MHYWZ3ous7Y/wC13vfdhF3QZjIiYue6zletrcS31EWPb6D+GE89vtut+HbyjafIFJ0Xy14wFGuc5bCXEFW7JgfaHlDXrwisTgIEYDGWDOO2d15RvU4WShre86VHcWKuPX7fTsW7Zny+09np6u2YpgPgIYlttLiKWDuguJaFMwGcIfI8BHkEfzS/gPctLOItXhTVBHbz5mhIwChRx9bz+aadvNZ5N9NF5OGa8oVzj+Ita1bh5lXjuDtVamvBJkDnIQkcOKL4lttIfDNWJ3V8sRNerE4KzlYnGd28X1STvnXZBFYnvQGR5/Hm9UO4dNN6vGjjJPbNH2j5PR95YQ4VofZQTML5q5LV5166fazKIRRKGv7w63vxzJTJmf3VG3Yw1pVzDexONFVBhmyfjI3X2bq3EVwVAtSgGauTTJENN/TX6sSJ+KY2J/4QE4NRd4rveiQvG26psR7fLidile0WUIf41nUgZ/o7dVrxTSenGVlBjpCjdkRjr8AacJlzaLnsNlgLAXZCtfeEeez7EbpHC012xLf1O6LEt6LpKJS0GsV3L6n+7Qox12wZhdiFhZG1q0DosOLb+rvUszuZXuqO4ttpsUtVMslWiG8abukw4aPE987A39sRlLjy1JYeIMAyxraJJD7z65dVW9bPZWS887ZHbYMoW8WCgyp2JuPdR3SbmMS3Tk3hi1Nn8cdnjfO5k4rviVSkrVkSKx0iz6Go05b75rxmnewe1zIBl86FHmpbZp131xN91MOp4jyeC4fweDSCGbF1C8AAvQVJ4Bniu6i1UfGddSfki7sMt9Q0HRm5juKbWA4V1SQk36xOgnDLXoAkcOBJc22x1HoR/KEXzI7/F28eAU+OmbAo4LWXrK7ev+vZs9Xbr7l4FS5ZN2jpfK0/zuayZ6ETji2ZWF1n695GcFUIUAPW6sQd8U2rozzHKuqaQcxiF2LXju93sCVgIUQcBgJF1RiVpJXIsoZbFpsIt6y0OS3qxMLCSnyXcsykdU7vrMc39TbTdWCOHANOgZi9AEoU7z2xaNuy2QsYqKOkpG3TvhDfUv3zzernmAyzi9V0oVRjddNLClk7Jf+1XfD3Bmr3xS8vP7ewjkH1xnia2zCebG/7OZsZYL+AyLYj3NKmwKnrOp46aRaXAn9vZ1izHgIECGDgmq2j+NibL67ef346g9/5yuMNsxW8QNd1JoidKm6bUXxHS3lsl0u4olDE1rxh1+JX270drB7fgc1Je2G03JP1WZNes07ZOOuIP3s9xTeTG2O5ljebG5FWzM/TtSDccrlBEnnounmslLT2zTdm0mRMdan4rkd850oqk4EkK1o1g0HXNKTJOiCnDfhodRIovnsBAs9BJOGWRaV14vtB4u9Nc0UqeCOxO6mA54A/esV5AFiHg0YBl4tLbEj3QGqNp33tJQRXhQA1CHsIP6uA2pwMx8MtKzboRErT7cmZZ9tBfBNCZCEn2xLuBcXqZcyeRjXhloQQdKuckdwovom/t7FtvLw/nbc6AVjPvp5WfE+a9hZ7Ty7YhvT0AlIOqhdZ0fAMOfZ3+aBGtZ5vVvuLvCXcMiLxDGG71ONWN3bH4/Vd8PcGbKxOOqw6t45B9Yjv6aXOhVsOkrF31mESRltFreOPt8+qb2l1cj7P7EM3LHH6BfWyCAIEWOn45csn8f4bt1bvP/TCLD707aeaCp60Q05WUVLNeeq2cbPduRniG0VzbrFUzphpZ/eWVfEdBFu2F5IlZI1rkvh2mu+tG6LEtzO5Q61OYpI/im8aEKirkZ4W4ATwjpDAA5o53yhq7eswo4rvemSxNevKCXbPVYQcxfwcSkQolFMHfcv+oeeAJHAtdUoGaB6SwDPEd6nkXBR0g/msjGeJdclVNsT35RuGqlkjFbzp0nXYWp4jDJN10FwdhwMAWMiYivGIpiMW6d/rdO+yUwG6BkqMFBV7tbUVbLBl6xVFKwFptV/IyyqOzJrhAH4EWwIsIaJoOkPmOu1LPcV33rIoac3je4HdiBDfRTEJBcYFrVPeyiGRd1wQ9RrxSXHJukFU5hjpggKFpBn3ktUJo/jOl6rn4YEzS1ViOiTy2E58vZpFxHq+yeyiPGdR93Acx074igoKSu8WPqzH44aRGNaPxBy2bi+iIXbi2emublFgixb1ipu0oNluq5NVKVPp5xSKRRU1rRDfrMd37YRvL/HQ3zgSY64LAVjUs2QKECCAobC6aZepkPrunlP45c885Ivnt3X82jZhzhmnmyG+SUBgGsY1sp3K2UDx3VkIPIc8r+GLA0l8ejCF/5cMu1rjWeFkdcIS387kDmN1YgmqbraYmibWF4oaDxTfywySwDGK77YS3xnaReM896Wdh1m5DvFdrD2OK/xCOjvFbqsO+GYvRfmA4XiopzpxVxJEwar4bo34/gWxORlLhrFlLFGzDc9zzLxDEjh84OXbqveH4qTztYHie54Q33FNR1joHa7EK4KrQoAa0IFS08EQg07wmyCxElXWIIhTC/lq25DAc1g/7A+JRT2+AfvBwOo5blVY+xFuyXEcQgJfVXEDYIIsAQBZc+ArSIPV251UOTiFKnZKdd4MEmER28ZrLxJAb4VbUu9cTTdJP+o9fOHqlC+Te+vfnbcpNFW3LS9yrBYHhR61jAFq9+e6LtmcAKy6SRK4rkxE6TFDLWooFFVjVM/ttjqZIMT3mcWC7WKcIb4jflmd1C5Injy+UL19SeDvXRfMOGCzuAsQYKWD4zj8w1svwZWbhquPPXliAa/5p/vwvb2n67yyMWjHSjIsYhUhjptSfBeo4tuYf7azKyllVXwHxHdbIfIcZE7HPw4P4VNDg/j8YBJKEz7feYdsnHXE4/vUQp1wS6aLkL2Ws4pv9+RmWje3lbVEEG65zCAJPFKFIbxjcQm/tbCIV3Lxxi9qEpTTqKf4pgIMJ4s+p+eq1n2FNK7P5bG7UMB5xRKKetw3xTddiwf+3t2DwPMQfCS+qb/3VZtHHNeRv/7iDdXCze/fuA2ThCsbjrtXfC9mzTy5iMb1dVEx6HkIUAMrcSorWsOJ7wypjo75kMguCTwkgauqpa1E3JlFc6K2yscwHFHgkQyLSJcvSAu5EiaH2W0owRcSeSZQAGBJtpysQtW8K74BgxRbVN1ZneQp8d1BtW0qIjIThG7sQzPYuW4Qz53N1Dzeq1YngGEnkoxIeJIEW+7yyXtYEngIPFc9Vun5puu67SKFKrXSBYUZI3qt8FFLfHfH5gRgjzGR7855Ehb5ajHRSfF9LiMznoTtVnxTwqOoaFjMl2qU1r55fMep1YlhaUUnjo8fN8fayzYMNf05KwGMOi9QfAcIYIuwKOC2d16Bj/7XfnzjsZMAgHRRwfu/tgf3HzqHj7zhwhoC0A0o8T0Yl5j5dzPE96fnHsfP1qxCUtOQWioCc+1VfNPxAwBWD/RvC3U/gOM4qBxbXCgV05Ak99+7prFzwqiD1cnphTxUTbddn+Wo1UnIqvhuzuM7Aw2A8VlFNdnX5EyAWkgCj4H8GP5EWTAeGGrPnDQnK4zYrh6n4dbj2+65ymNjEPCvZ2cAADP6AK4A51uxka7FR+JB52K3IPEceI0HyiGmcpOhwhU8RPy97WxOKlgzGMWP//B6zGaK2DbBdocPefD4ThdM4WVE4/t6bO3fPQ/QNngJP6uATrBHfSJIrJYhFFOLZrVslc8KkcF4/eAz6m1npxCmxJZVLS95qOJKIm+xOnEmvrPCYPV2J0lHJ9VlrxGfVtgFQvKcew/2TkASeGZBsFhe4D5FbBioX3mriFo6FSqQVY0p3lS2Y5UObLhlr1md0O9R4Lm6E4V2gyW+u9N2yCq+7cd3OqYnw2Lbi0KDMYnZr6nF2okhXTy04lU4ZLG0SpP3LZRU7DtlFpcC4rs+GKuTwOM7QABHxEIi/uGtO/FPb9/FXD+//tgJvP6f78eXHzqK7z81hYcOz+LgmTRm0kUoDbzA6Rx1MBpiCpQzNqKERjgmL+JAOIRHoxHMlYf8diq+rZZVgeK7/VDBdsgW5bSn11vnDFRYsJYQ3yVVx3S69jquajqzjrIS3017fJPpVF7zpxsyQO8gJPIo6kQQ1KQ/fSNQmxOAFUpYQcevbD3i20bxnavY/RB7qUqugl9jLp2/dnPds9IhChx4neTnqc0fu9PpAg5Nm8K9qzbX/12H46Ea0rvyeAVz2frjbLqwUL0d0kTfxKbdQKD4DlADq2+zUys8BVX9+uHxDRgE0VL5YlFX8e3zRHkoFsKJOYNYtyO+nZQOFVjDLim8+CJJAo95l+GWGcEkQDuptrb6M3ZjH5qBnVI6FhJ7zv9sICpVlQdLhRLShRKenzEveDt9tGGISEKVWKTHuLXoZG91okAg6uVeCxW6eO0ARuIhzGZl3LRzTU17dSdBrU78amf0Cvr7FEv2xApdsI6l2t8iyXEcVg9EcGzW8L09s1TABavN0OKSqjEL7lYU3wNRCRyHqqJ9IVuqHhP7Ti1WO42ikoDzffDQX86wdn5Y1fMBAlAUCgV87GMfw9e+9jUcP34cw8PDeNWrXoVbbrkF69at6/budQQ37VqLSyeH8P7/3FO1Ljs8k8Vf3LG/ZttEWMRfvv5C/I/LJ23fa4EQg4MxiSW+m1B8Z1Rz3Fc1g8RsJ4EoCjx2rx/EE8cXMJYM4zybBXoAf6HxrEWEV+Lbuh6jRfFYSKzOtQDD59uq4re+3trp0EwxtSTnUCBkTFYZbGsoa4DOQxI4FEH4hRZVs06gfMZQTKpLQtN5aL1wy3QdxTcNFK7kKngRydXD5RuGcOs7r8C5dBGv37mm8QsCtAWSwEOVieCoBeL7Fy+Y6us1AxFsaDKvqlHWEUWGXCMktXvrZz8QXBUC1EDkOSZwzYkYoWCJb39IEjoZqlF8k/Cz1SmfFd9kMLBTGziFutR7rAIvC4iQ4F7xneFN4rujim8H8qnXJ5zbV9W2QfaaLzXALgAW8yU8fWqxStalIiI2jvjncRcNmd9HgZxvtYsUofr5FaQLCqMS77XCR0QS8JM/egm+8u4X4e/efHFX9yXKqM+7Z3VSgazaFzZpMJof9lVuYPX5prCqaVohvgWeY84tOul7/Jg5zu6cHIDYQ10gvQjalq5qek0eR4AAFRQKBbzsZS/DLbfcgkwmg5tuugmTk5O49dZbsXv3bhw+fLjbu9gxrB+J4Vu/cxV+5yVb6m6XKSr4xJ0HHZ9fIC3KgzFW8Z2T1boqRDvQgEBVLYdbtnkM/MyvX4a/esMO/Of/fHFP2c0tV+hcCDzxMZPlWtu/erDOCa1in7VMwGVtgGvOEgLoh9VJOsMGBGa1gPhebggJAopov+L7HFF8jzSY+9LCf12rk7oe3wvVx/xWfHMchxu2j+OXL5/syTXuSoHAc+B18/uXWzh2Hzps+m2/eIuzv3cjUMV3I6uTTMkkvkW9vy1zAsV3gBpwHIewKFQnN3KDVkugPcS31SubYmqhfVYnTPCZTfsHJeHtJlb1iGdPxLfIY5GGW+bnDYliZZDLmYPfIm+qZDppM2EXbhkW+Z5X/EkCj4vWpPAECbGjxG+vYMCyAHhhJlu9v3NysMZfvhUw1kJkYUPPPZE3veesSk96vxcnWMPxEK7tYqhlBbSg55eqwysYqxOHwiZVC477XFx0wqo6xLc1HMip6OYWQzGpWth0Ir4Dm5PGsHb9LBVKNUWJnKw05V8cYHnh7/7u7/Dggw/iqquuwo9//GMkEkZh/5Of/CT++I//GO9617vw85//vMt72TlIAo8/e/X5uGH7GL75+EmcXSpgLitjLitjNitX8xem00UUSqrtdZWG8w7FJIzEw+A5IxAbMMZxL0XCtK5UbJJR0ozfp93E93gqgndcvbGtnxHAREgUwOlAofw7F0vmvPK/9p7Gv917GG/ctRbvuW6z7evpGigk8DXF4XVDUTx10rBvODlXG+JWtXiAYTFoXUcNWHIj3HQRZQjxzes6lgKrk2UHSeSQFmXclkpC5jhE+Rx+o4X3O72QRzwkYiDGrmNnabBlA19sq8e307FqR4pnywWgw0vHcSoaQVLTcFwOA6X22ksF6DxEnodKiO+iVp9orgfq7331lubXtNTCp5Hi+xotjvWz88jwPKZKW5v+zF5AsBIJYIuQyFfJL1eK77R50vhFfEcJgVuwKAyo/6vfYTiD0foe39T6xU6dwvNG4q01NI7n4MkXSRI4zFLFt1YC5CwQLj+WM9tdFjliddJlxXcvkp522Dk5yBDfMan3hkMa/LSYL1XbogF/bU4AZ+KbLnLo8Z5giO8Siop5Ee2XY6AboOqm7lmdUMW3C6uTDim+qb/r2SWL4puoxKKS0LLH3FA8hKNlW5XKOK/rOp4Igi09ISwKCIt81YZmKa9gMKri4SOzuP/QOdz//Dlkigru+9Mber4gGqB9KJVK+Od//mcAwL/+679WSW8A+KM/+iN86Utfwr333ovHH38cl112Wbd2syt40eYRvMji01lSNZz34R9WO7zOLhWwwabDayHPKr4FnsNwPFwVo8xkitg46r4zLK2roAGBQHutTgJ0HiLPg9d1FMq/s1wmvjVNx1/cvg+L+RIOTKXxpkvX2ipe6XrMTmizbshsvT+1YEN8kzmlncUgVXzLqoZCSWvYCcAVM7g2l0ea56GAxy8gIOTBWjJA7yMk8MiKBfx/I8a8bLWqNk18/9fe0/j9r+1BVBJw+3uvwXZiaTdL1K+NMstoUVHT4Xis2nXeZMsFoP9e2I/PrxoHAFyymAfy3RPFBGgPJIHDSC6Ji3ASYV3H5YODTb1PUVGr6xbAsLJpFsPE3WAhX3IMIgaAS2TgxiVD9f0pcW3Tn9kL6D2mJ0BPIMyEn9VvXc4WFYYoG0360wZBFWJWxfcZanUy2D6rkwU7j29KBDoQfFFJqCG+vS4eJMGi+AYM1XeV+DarfvPojuI7ZePx3WvBhk6w+nxHerDFlmn5LCjYywRbDvr6WWGHMFl2kWJuY/X4ZhZDwULZEbQoIHbJ6sS74rvzVifWcEvaKuoUqusFbKK5oZo8Ppdj2lwvnQyIbzdIRaXq8fIH/7kHL8xkawoqR2dz2OSBgAuwvHD//fdjYWEBW7ZswaWXXlrz/Fvf+lY89dRT+N73vrfiiG87SAKPsUS4ajk1tehAfBPFd0W0MZ4kxLdHn+8MWfcWysR3oD5cXhB4DpLpdAJZNoiU2axc7YJSNB1nl4q2xHcju0d6HbcWsAHW6sTu9dYMlqVCqSHxPSlE8OmzMwCAE9oYrkPvWe4FaA2SwEPRzeOxWbMIXdfxzz89BMA4lj/z88P4x7ftqj5Px8zRBopva8dbumh/rNp5fFfI8DTpuOA14+8LLPaWF0SBx6bMKH6nYmuzJVV3eydYg1dbcTwYjJvjrK4b4rphh+Odl00f+oKQsN2mXxAQ3wFsQScMVgLXCmpzwnPASNx/qxOrApVO9v1OgWesTnL1Pb6dlK0RiceiRejgtV1UEngoEJHWo0hy5Tf7wQeBSFndPX/M3E/dHEQ76Wtnb3XSewSyHayK6VgPqpTpAuD56TRDBu5cN2D3kqZBizgFcs7T450Wo6zedjR4MFB8O2PHmlS1Ff3C1c1NfloFE27pUNikHt/jDVQvfqGe4pu2irZqcwIYQXAVVAqc1OZky1icaQUM4IxURKwuFg+csQ9Ke/TIXEB8r2Ds3bsXALB7927b5yuPV7brC7xwD/DCPfhc+gCKujtv+/OlQbw8yiqmnpUX8NPCqZptrxhMIxs1xr0774/jsSeN8eht8c0YE4xOx9dOn8TlYhH7Bs7hxAsh/Mt0CNtCGYyPG3PXXzwRwwuH2PF7jRDDm+ObmMdOKVl8N3cUGaL4ymmDAALF93KDJHAQCfFdfPYOYPowkCnig+IJpEUZB1KzuOOeL+BnNkXmxXwJLx03xvmwJOD5H/4AWyVzPvqS6Qz2DT6L+VABkayIf/lOqu7rb/vuF3Fzcnv1+QiAP4w8hz2pswCAf//BFxsS39cUS6iU05bQGW/6AJ2FJPAoEeI7wwP/8h+vrNnuaiGF3QIbkvuAuog9quFlX1Q0XMBlccGE8Zx2msM/fSUOodx5UFoq4J+kCHhw2H4iCXzTeK9Pyadgx4bcNJGBDuOE+sp3/xEhgcfFQhwvEQar27zl+DzWJRZxIG7Oa9NHQ/iX/whjT2HKZOPUSPVvDbB8IPIc40//9In78fNvvcX1638tvglDfBhiuoA/F08b7zE8h8/f8UVXr98gxvH6KBuQPVtK4+UT+6pdZV/8r885rt0V5QW8SRSxQVFQDIjvAMsRdMJQaKD4ptXR4Xio5Rb0Cqi6lKpJqdqb5/xvw6dkx4JNsEqBKCTrKb6tCHkkhCuLjUXEkUSZ+H7uh7bbUkuUTpKOdsrLflF8bxiJYTAmVYsovRiqRBXfDzxvKvxXD0R8911miG8abknUOfTYYhXfJTbcMlgoO2JyOIbPv+NyPHliEb/2ovVd2Qe2o8fB6mSJhFt2iPieIMT3GavVCfEF9YP4ZhPNjTEg8PduDqsHojhM8gcA4ze6assIrts2imu3jgak9wrH8ePHAQDr1q2zfb7yeGW7etixY4ft44cPH8aWLfXDIn3F8V8A9/8jbl2/DmmXRMUb0hm8/Nwc89hziTg+OzZSu3Gi/A/A4zqAck3pZQfuxphsjFlvAQAR+OWBVbhPDxnbxMr/ADwO83UVXJYv4M1nbmceOx0J47OrJ5jH0opBZoaCtvtlBUPxbf6mwpGfA8/+GGMA3isCj4fD+I+RCTxeOgs4ZUuSw/XI03uxNWcqfbYCwPgoHo8bB+H96dqiDn394bnjuHnv95mn3yYI+PyIUSB6vHi2obw3OTtfJb7TFeI7mIcuK0gCxxDfMsfhs8pUzXbx6Wewe5Ed9H4xNIjbBkkBZph9zc9Usn0M+Khw3KApz5X/AfjcxkkodnZt9L30DKAAb5tL4yWzZD4J4LlkAncPWz5YAcPEaZpR0JR8zG8K0H2IPIeibq6Zn8mdxmeztd0wTnjtwXswVFIwDuC3ysfL65OrcXe2Vnxoh2tyeby+3BFTwcloBA+XLXYA4BF5BnCy+k5KuCJbJr7FgPgOsAxh2H0YC1lra4UVlPgeS/pHxkWZcEuTfJsiUurxZMT3lqCGVieuFN+1j3slAyvFh4fUC/HL4r3OGw6uxwltFECm7j61A9Y2r05/fivgOA471w3i588ZF4NeJL5puOUiKcL47e8NsH+/U7gla3XChlsWXJwXAQzceP4Ebjx/ovGGbUKoAfGt6zpmMlTx3flwy4VciQl0yxTN4z8ebv34Yjt7ahXfAfHtHh94+TbM52REJQHXbB3FddtGsXNyMFAtBagikzHmJ7FYzPb5eDzObBegu1hb0nFQM8bAgEBcXpAEHsPFOE6GcthdKODyQrOmEb2JJzUjfC04bpcXQiKPU/JWTKg60su0GHcidwkAQAqO3WUFUeDxpN7BonybUNQlnAoH4ZYBliFoa/t0A4/A6XR7lIEMESeb5MzUglkla8XfyAlMuGW2lvguMP529hcnO+LPa1hFZfuPKu/A2ktuwNXjNtILKQrseCNy/27annRSbWsbbtknVieAEQxRIb4nOkTueYGdhzrgv783UMdaqORAfJPffqmgMJ0Q/aL6X6lgrU5qie+lvMJYXHXK6mQsGa7awADAmcVCNZgt47fi25Joni6UcPCsqfoJiG/3uHzjML7/+9d1ezcC9DD0cj+tU8Bp5Xk32L9/v+3jTkrwtmH1LuCym/Ha7EEU9MYh8ACwa2IA2LCGeWx9aQFvLNYqFxdyMubKc9BYWKwWBgcuvAoQotB14GuPHgd0YDQzi9fGQkY2TL6E2XLhMhYSa+bJG6JRYO1rmMdG1SzemDfU9gkxirPpV+FAeYkYFLCWF0SBw7NT78ZO+du4eJgHt/vVAID9p5ew9+QCZjkZlywuYDQZtp2DpgtKVfAUDQlYs/UyQDTVtIqmgz+0D5coxjbrR2IQiYJ1qaDgHHn99sEksPsVzGf84tnTuGTRaOkfS4WZ+aYdtm64BLo0go89LONr6ssABFYnyw2SwEPVIygd/w1cPPFzbBm3X7NtXbURiLGdRTsyR/DG3ClkZAVHLN1p1deNxxGVRDwztYRPlK4CDw6/9uL1WDdoqLBvmnkAqs116rnpdDUrZ8NIDKmIhJ1jq4FdJtH5xQeP4qn8WWxZPFd9LBERsamc28BxwNT8BfhJ/orq3xpg+UASODyo7cDvyn+Ad607hU1rdLyxeNr16xOXvBQQIth7YgF7TiwAAM5TF7Ar4o5v2RZPAhs2Mo+NK2lccfrZqrhtIhVmuswplvIl3Ffcgn+Ur0M4POp6v3sRAfEdwBaU6GgUjjPTJi9YVoFqKr5pC/wan4MtAbYFfqmgQFE1RlVOg/+cSF57qxPvHt8AkEUUz6x+I66+brPjtoXSC+Y+dVTxbePx3Uek583XbMSeEwvIFBXcfPXGbu9ODQYcLkI7J/319wbYYzYvq7a33VqdBIrv3kajDIeZjDnGSgLH+GG3E5LAY9QS6FYlvgv+enxbwy33nliset2lIiI2j/Z3O1+AAL2EZNLwSc1m7UmHXM4I2Esk+ui82/4qYPur8Octvs2l5X9W3L7nFD7w9ScBGJken/uVa5nnl3Il/O8Hf2zcmQae/J1XYDAWwvf2nsb7v7YHAHDR2hQ+9yuNi1KbAPw1uf/u2x413hSBcna5QeB5zKlrcf/07+NtL7sU2GkUYv7z9n348tFjhv1CHvjgL23He2+oVfd98f4juOW/nwEAvPyCcex48xXM8yKAn93yY8zPGmKdP37j1di93iwkf+7eF/C3P3gWAPBLOybwwbdfXvMZd8w+ggcOGqKUj152IW6+ZlPNNlYUSir+7cEfVe/301okQGNU1sQzhYswXLgKX33L9a5f+6ryvz/91l48efokAOCG7WPIFBU8etTo9Ltwcj0+8oYd2PbhHxrWUgDefvVLgTI5/VH8ke17v+XTD+LJ08Z7vOO6nXjTpbV2Xrc+9DOcyOQrjdkADOHVX7/l6ur9m299BMBM+W9dnor2lQrDApjDD7UXYWLdRnz0DTtwZRPv8+079uHfjxhCx3eu3YiPvL75Yv92AJH/eBw/e/oMAOBPL9mO33upvZr7Sw8exUcOGIKDG/q8KBMQ3wFsMeaB+J5OmySJr4pvByKOWp2sSkV9+7wKaNItYFhM0GTzQoNEc8Be8eqZ+Cbby2p9NRFVbXY23LJ2COmXcEvAIG+/ePMVjTfsEuyqrxwHXLzWf+KbHrMFj1YnRUVjwgfDAfHd06BKKLtwS8bfOxF2VGm2A6sHIlXimwZcZondVbwN4ZbU5mT3hiHwgcdigAC+Yf16I8/g5MmTts9XHq9sFwCYSDlnHgDAQt7sSOQ4Mwzby/zdCXTOGRDfywvUP1jRzN+ZruUANlCawo3d40QqUs3OmLbmddBrecj+Wk5FH0sF+/2wwtq9FhaCeehyAiWDSw3WxHYolFT8sEzyAcAbL12LkqpXie//evI0fuf6LaCi7lEXGWJ0Pko7EykyNsdwVma3VVTzgwPF9/IC/T3pmOsVMz47LLACIGdbYyqQ6vf5QE/sfTabxZe//GW8//3vx5VXXolw2Fho//3f/323d23Fgnq6WidDVjAnoo9BkzEHz+Ezi+b+rG6D1UkyLDJteZXJm92+OE367Ahxr213YbJ9SanfBkxtJjpJOtp7fPfEsLIsYKf43jqWsFXatwom3NKN1Ynltz9HPKEjfX5hXO5opPhul32VGziRPWmq+HawAPICa7jl48eJv/f6wOYkQAA/sXPnTgDAE088Yft85fFLLrmkY/vU66Dz2+l0sYbsoXPTgahULdbRMftcRoamubeRqYBeFwISZnlB4CmBaB4bVlvLdME+2ZIR/zisN2j4+tkl9n2pkMlJPJRyyLepB+tcpt8JmgAs6Bq6kRjMDncfmEa6XMyJhQS84sIJvObiVVUbnUxRwZceOlrdPiLxzJrHCdSGx47g1nXdtoiUtTxG/yYxEF4sK9DfkxY4vMJvvm2YWD7OZZ3HWbYQ3t8FxZ5QfB86dAi/+Zu/2e3dCEAwlvKi+CZWJyn/SJIIE25JFd/t9fjmOKO1/1w51HMxz1bB3Fg62Ht8N2d1AgCyal9FrqBI9qmziu9aAjawufAPdorvS9oQbAk4h1s6WZ3EQyI4DlV1xDkSghsovnsbYUbxbWN10qbAYjegYzotctJFQsJBJeYFlPjOl1Q8dnSuej/w9w4QwF9cc801GBgYwOHDh7Fnzx5ceilr7vGtb30LAPC6172uG7vXk6Bjoa4b4/KaQbPLkYav0/GMEt+qpmM+JzNdi25AF7qdnFMGaD/o2kIlRZHpJSvx7aD4dkFcT5Bj0Nqt4NRFSMEovt0S32pAfC9n0C7oZhTftz95qnr7l3asQqw8j3zDrjX4j4eNfIOvlv8HDLW3m25HGrZOQ9grKCoaU2CqwEp8l4Ium2UL0aHY6BVUYDbqs+KbziesoOvEfs9O6Im9TyaTePe7343PfvazeOKJJ/Dnf96qY16AVuEl3LITiu9CBxXfADvpms86K76d1A525K93qxP3AyUdlDpJPMckAdZ5QbBI8g92iu9dbfD3BqzhlubxlCNtqfSc5HmOISDnSJtUoPjubdDChC3xneme4tuJ+KaKGT8U31bf8spinOfaEx4bIMBKRigUwvve9z4AwPve9z7G6/uTn/wknnrqKVx77bW44oretR7rNCKSwIxTVPQBAAsWxXcFybDIzMPoeO4WlIQJFN/LC6JA1YfG76zreo3IyZH4drEGmmAU385WJzGHInYq0priW+Q5RtkeoP9BxyGv5OFiroS7D8xU79+0ywwYfvsVpr0WPbbdFgsTYfNYzdpYnThZBtHzAGCVwCIfjLnLCWI7rE584NuGiLXvXB3iezlZnfSE4nvLli34/Oc/X71/xx13dHFvAgAs2ZGTVWSKim2gmKrpmCWEF21vaxVRG8V3oaQyn9cOxTdgWL0cLic/n5jPMc9RW5FoyH4AsJsMeiWEGcW3DTlVgarpjNKhk1YjPM8hERaZCXKg+PYP8ZAAgecYVU67SDnG6oSGW5Lj3bpISUbEausgRXAM9DboWCTbeHzPEvX+aCJU83w7sYpcQ6aW7IlvPzy+I5KAWEhg1GcAcMHqlC/vHyBAABYf/vCHcdddd+HBBx/Etm3bcN111+HYsWN4+OGHMTIygltvvbXbu9hzWJWKVAluK4E4zyi+zQUsx3EYS4Zxct7Iw5lJF3H+Km+fKy8jhVcAFnbqw8V8qUYx7WR14srjm9r01LE6caX4dtgPK2heSb+TMwFqwXh811kT2+EH+6aqx/doIoRrt45Wn7t43QB2rElh/+kl5jVjLue+CaL4tisW2dmfAAaXoKhalRRli41B0WY5gSk2NmE9BhgdAtQXfrxLHt/9Lm7s770P0DaMxMOgxXJrOEkFc1mZIeX8VAdGbKwX6MSf41hVgZ/YvipZvf3sFHsxZNr8HBXfrYdbhgR3bV1WUrzT4ZJJC0kUeHz7B47jkCLq1pDA4/xVqbZ8lrPViTlpsx7vTl7jAfHd26BjkZ3iey5rLlTpxKgToMXMsw5WJ9Yxp1nY/W2BzUmAAO1BJBLB3Xffjb/4i79ALBbD7bffjqNHj+Id73gH9uzZg61bt3Z7F3sOtKuxnuLbOpaNtxhwSRWVUp8vdAOwoGrSyvrNrrPXSfHNeHy7sDqpVXw3Jr5TUfMav5h3F265nFSJAWrRisf37XtMm5PXXbKGUeACwNuvmKx5zUjcpeKbrNGs9iUAK9qwNiHQc4EhvoPjd1lBImOu0oRND8DanHAc68/dLFiP7zrEt7p8ioqBrCmALQSew2giXJ0MzaSL2DyWqNmOTqhjIcFWFd4sYtR6oXxxoBP/sUS4bS2YF642ycVnp9LMc3TS5+RlbEeIe93XkEs/M7o/QOeJ52REAsjv0mnifbkjFZWqIVYXrkm17aJDjxtKfOfq+DnahZta3ytA74FW7IslO+LbnACNuFC96LoOXW/et45iIhFCpZFmIVeEXFIgCjyKJaX6eDzEQ2uhXbCC0YSEmaU889hl6wd9ee8ArYPjOFcemwH6B9FoFLfccgtuueWWbu9KX2DVgOnpfWaRHauoJ+eAxbpprEXiO1B8L19Q9WGpfK2zqrIBlx7fTVid5N1YnTTj8R0cs8sakksxmBWnFvJ4+IiZ4fLGS9fWbPOGXWvxN99/lhGCuJn7AqzViZ2tCT2PKK8CGER5pbuBKTYGVifLCoIP4ZaU+B6OhWqKN82AFsyXCgpKqmbLVdF1Yr+PrcuS+N6xY4ft44cPH8aWLVs6vDf9i/GUOUA7+XxPpwkR7bMXrJ0CtRP+3oDR7l7BwbNpph3JTaK5rcd3K+GWddq6rIrNThPPVr/dgPT0F7Tlc1cbvYfpMVtwIL6t6hwnr+Wg+NHboMUTO+UMtZNyUhWoqorZ2Vmk02nIsrNSwCs0Xcdf3zBSvX/g4EFIAo/fuzSGkmqQQPHCNA4enHN6C9f47Z1RpLezhNFGcREHD6YdXhGg0wiFQkgmkxgZGYEgBONKgJUFav10xkJOLuSdFd+tEt/FQD27bEGtTtQyCWMlpwF3ViduiO+lgoK8rFbXdG7CLanHd1PEd3DMLjtQFbSmG90Kbnzc/+vJ09XbG0di2LmuNidpICrhtRevxneIMnzUpYcyDbe0s36kZPhQLISFfKl6rNIMJSWwOlm2kHywOmH8vX3i26zru4Vcyfa95WUUvLosie8A/oAa5zsR3+0KtgTYCZGd4rtd/t4AsG0iUfVWlhUNR85lsW3CsD/pWLilyyAPSlLyXOcvmFbVb2Bz4S82jcbx1MlFAMCLNw+37XOiDsR3vUKPs9VJf18YlztoYaJo4/E914D4VlUVx48fR6Fgb4HVCniOw7aJBFAe8ioLm40j8eo2YZ+Or7WDUcaqC1z/T+qWG2RZxuzsLLLZLNavXx+Q3wFWFFYzYb+s4nueWJ1Yw3rHEubrWg237HeFVwAWVClYqmN1kikq0HW9pusmz+Qc2Y/Ho4kQeM4gKAGDWN84alzD63URVkAFH+mi4orkLJJjtt99aAPUwrq2LakaBL7xfOCOJ00y+6Zdax27yN52xSRDfLtVfCcbWp2Y43QiIiIeEqrEd4aEYco03DIYc5cV/Ai3bAfxHQsJCIl89Xicz8n2xPcyKir6Qny/9a1vxb59+zy95t///d9x5ZVX+vHxNdi/f7/t405K8AD2GE+ScJK0PcFBJ0vjKX+Jb0qgFhUNqqZjikz8V5MWUL8RkQRsHo3j0HQGAPDM1JIt8e1E8toR4t6Jb/PiXM/PrKCw+9Pp1nAr+RkJ1L6+4g9ffh4UTcfGkRh+aYfHhCoPiNoUmoBmrU6CY6CXwYZbsmNLoaQyv7mdz+Hs7CwKhQIEQcDExATi8Th4H1szD02nqwWXNcNxJCMi9p9erD6/ZcIfy5/TC3nMEj/zgYiE9YRgD9BdaJqGbDaLs2fPolAoYHZ2FuPj493erQABOoZVdT2+zQLlYB3Ft52NRSMsp4VuABYi03ZftjqxWeNpuuFBbLWwLLiwOhEFnrF1YInvxkHVVuue+ZzcUIHLtOMH65BlB2sBTla1hmuNA2eWcOCM2cFnZ3NSwZWbhrF1PIHny+v+beNJx20p4sSuxy7Ikj6WCIuIh8Vq0ZIS5ZQQDYqNywt2gcJe0Q6hKcdxGI6FcKbc8ePk872cbKR8Ib6PHj2KgwcPenpNLpfz46MDtBGUyHZqlWyn4ts6oSqU1I4pvgHD7oQS3zftWgtd11Ggaoc2Kr7DLj2+6WSvGyoH66TYLzVmAAMbR+P411/d3fbPocdyvqRWlT712lIdie9g0dHTqBduaZ34DMVrVf3ptLGQmJiYwMBAbdto6/snoqgYk0NjjsiB48x9FkXeF6JdFAXmfeORkK8EfoDWwPN89fg6ffo00ul0QHwHWFGgiu+zSwVomg6+vIim4ZaD0Toe3y0qvoO2++UF6vFdL9wSMEg76xw/VyKB5w6KbcCwO6kS3+T9cy6I82RYRDIiVv2RT8zlGhLfy6kdP0AtrL9pqY4FaAU/ePpM9fbOyUFsGnUWNnAch3/51Uvx/356CLvXD+HCNSnHbSkahVtS+5NERGTOJ2qDQv8eMRhzlxXo79lsuOVMxlybjfpoLTwUN4nveSfiexmNrb7s/WOPPVYNt3L776UvfakfHx2gjXCTCj/DKL79JaKtoSc5We2YxzcA5qJXCbi0kkSRkP0pFLV5vF0e3wUXCvR2ImUhPwN/5/4EXYBounmhY61O2N866aDWCYofvQ3G6qTkTHwnw2LN+azretXTOx5vjzpaYtQRGjRLcKbgU1eLaGmddvIbDdBdVI4zWZZ9C1ENEKAfMEHmuSVVxxxRec+T2356fGuazviQ9vtCNwALkaeiGuN3nnHoCrDz+c7L5pyh3ppjIkW7Doy1m67rDPHtpPjmOA7rh2PV+8fnGovl6Dop3OeqxAC1sIbuuVHO/vy5mertV1/UuGP2/FUpfOrXLsN7rtvser8YIltWauYoVPGdDIvMPJN2PzDhlsHxu6xAx1zVD49vH4Wmw0TcRO3TKCj31e82Uv299wHaCjetku1UfFtPLqviu51WJwAbcPns1BIA1gICcJ70+R1uWVfx3eUByaoGCfyd+xMRC+lXkLXyIsVZ3ePk8d3vF8bljnCdcEsm2NLG45BO6tuljhYt+QZ0fcNznG92TtQzlOO4uuq1AN0DPc4C4jvASkIybHjCVlARfyiqVlXDAjYe32T+vpgv2WY5OMF6Tej31uYALJhwS83Z6gQwgimtqJf7QkHFUJXjVlY1hvipV2ymxPcJr8R3sA5ZdrAKFeqtiwFDvfrUyYXq/eu3jbVjt5g1sK6zHQ0Aq+quWJ2Yz6nl1+koBVYnyxa0a6ppq5OM/x7fAFs0p8V0iuVkfdbfex+grRhz4fHNnIg+e3zzPMdMqhbzJZwjn9duxfcFq01/r5l0EecyRcbfG2hzuCVDTrkLt+yG4jsIt1wesNqT5EsqiooGWpx2Y3USFvmO+8wH8AbG6sQyps0Rz2urirBTYCeJGjRyEPI+Hlt0/E6ERV/fO0CAAAFaBcdxtj7fi3lWmWUlvkctRctzGfsFrR1qiO8+X+gGYOE23BKoVXzrus6sg+panZA1ZMXqxCoeqvd6r4pvWtwJiMPlB47jmN+1XvYVANz//DlU6uRjyTCzpvcTCcs6KGOxO2E8vi1WJxVrFFXTQWv6gdXJ8oJAxBvNhluea0O4JcCu89x4fPe7sK2/9z5AW0GtTuZzJVu7jUr7GuC/4htgJ0VHZ7Ps/vlMtFsxnowwi4dnp5YYklnkOcd2JD/CLUOU/KlndcKoHDpPOicsqt9+HxRXKiSBYxSwhZLKHO+AO8V3UPjofdRVfBOCZCTeLeKbTBJVnbE6EXj/FgQRScD64RjGkmGsHWxvB1GAAAECNAPa3Vj14iQtySLP1WatiAIGiO+3F7sT61w/IL6XF6zhlpmiwqhUqagobVF8l1SdUWzXU3yvGjDXaGfLx23WQnzH6rx+sgWrk+CYXZ6wiiLq4V5ic3LdttG2CXLCosDsl/WcSddRfOfKzykW+4vA6mR5gfX49q741nWdEZo2yjvwgiGyzlsJHt++hFv6gTe96U2YmpoCAJw8eRIA8KlPfQq33347AGD16tX47ne/263dW5GwVpTOZYpYQ8iBbFFhJjHtIKLppOqFGZP4Hk2EOuIlfcHqFO47dA6AQXwPkwGi3oTPjvzzeiELuQ63NH+DbpDOgeJ7eYDjjA6LilohX1IRktnjyXrMWxfbQGB10w9gxxZjIVshlGnFf7gHiO+SpTXaR94bADAYC2HQ37cMECBAAN8wwVhG5AEAi3lznB6MSbakzlgyXFWGeyG+rfPNgIRZXmBIGE2vktKAUVjeMBKrdhZY1atuu14B1uqkIpLKE+u8kMgz6nMrWKuTvON2FQTE9/KHJPJAmXcoKc4Eoq7ruPeQSXy/5Lz22JxUkAiL1WKkNeCS8fiOsNZVFasTqwAlCBReXpAYxbd34nupoDDjm5+K72HSLTbnxupE6G+Op2euDHv27MHDDz+Mhx9+GKdOnQIAnDhxovrYnj17uryHKw8RSWCCC62tcHQizXPASLy9iu8XZjLV2+32967gQsbnO80oYOupq/1QfEsuW7qo4juwOgnQCuhvly+pjApIEmo7HOysToLfv/dhLRrSSc1cA4/vToBO+jVdZzzxeL+Zbx/BcRw2btzY1ffyax9uu+02cByHj370oy2/V4AAAZrHahurk/msqfgedLCkchNQbwd6PeC4Wm/dAP0Na0cVzXAaTYSYTgGr1Ym1CzAScl7XMFYnS8WaYMtGYdKU+D69mLftOqZgVIlBsWZZgl0XO+cWPHc2g7Pl45rjgGu3jrZ1v1jfbgvxzSi+JWbbCkluVQEHxcblBVbx7d3qhF6/RZ7DYNQ+X6sZNFJ8q5biqNVWrd/QM2fW0aNHoeu647+jR492exdXJOwq9hXQtovheNjXFvQKKIF85Jyp+F7VZn/vCmjA5TOnl5g082idCZ8d8e1Vjc2oHutM+Lqu+A4HVifLBfSYLsgq48dod0yn7KxOOtCJEaA1WIOf6IKShlt2y+pE4NkASzrGCSvYh/uee+4Bx3G4+eabu70rAQIE6BDofLcSErhAPL6HHBaiY00S31TxLQlBZsdyA12rKZrGZDiNJyNIhCnxbVF8kzkhz9UnmCdIF3C+pGKpoCBbNF8fD9VvOl87FK12eOk6cGqhvuo7CLdc/mA8vusovqnNyUVrBjDSBitWikQd4psqwBMRS7hluQPC2mUTeHwvL9DicakJxTe9fo8mwr4KgGhnr53i+/hcDsXy2MpxwJaxhG+f3Q30jNVJgN7EeDKM56cNpTUlugEwKoFxH9suKFjFt0l8tzvYsgJKfB+eyWCJqB/qtfjZTbq8KhDYyrbzQFkMFN8BfELUovimbagxm0WKveI7WHD0OqxjkREKZSx25xmrk/YuFpzAcRwkgasubGhXSy8rvp999llIkj9qiGbfy899CBAgQPexilqdlAUoC2SBOhC1L1DS3J2ZjH1AvR3onDIcKA+XHViPb50hVcaTYWZeV0N8l6hiW6xbFBmKhSAJXLVja3qpgHzJfL96wZaAsQZaMxjFyXmD8D4+l8Om0bjj9sVl1I4fwB5uPb6pzcn157VX7Q1YiO9GHt/kuGjM8UUAAE/xSURBVK94fFu7Gag1RoD+h8h02XhXfJ+j/t5JfwVJNNySdpJV8NzZdPX2+uFYw3G71xEQ3wHqgipGKNENADNEJeCn3xAFJeLoxaNTiu/NY3GEBB6yqkHRdDx1crH6XD2CNyzy4DgwKc2ePb4tPrdOKHRZ8T0UD0HgOaiajpDIN2xfDNC7sFqdUGWQ3cXOmmYO1NpoBOg9WMeJooPVSbcU34Ax8Zdh7JdBzBvoZSHM+eef3/X38nMfAgQI0H1YFd+6rmMh1z7FNyVhpKCDb9mBsTrRdMbGcjwVZiwulyxWJ5T4biRy4XkO48lIVal9dqnIKL7drBXWD8cY4rseioHH97KHNf/FDnlZxcNH5qr3r9/WXn9vgF0LZeUGHt+M1YlxPlDfZ5HnelrgEcA7mGJji4rvMZ+7F6jiO1NUUFRUZh3/3BmT+N42nvT1s7uB4MoQoC6oktvq8T2dbr/i22li1CnFtyTw2DZhtnXsOT5fvV1v0sdxXI3lg9eJmOtwS0bx3flTeiAq4fdeugUDUQm/f+PWQPHdx6C/XaGkNbQ6kQS+5pgLWkx7HxzHMYW1ooPVSbfCLQF2gcOEW/bwgsDOX5vak8zNzeF3f/d3sXr1aoTDYVx00UX44he/6Oq9br75Ztxwww0AgC996UvgOK76j/pw2+2Druv42te+hre//e0477zzEI/HkUwmceWVV+JTn/oUNM27AsWKP/3TPwXHcXjb295W89z09DRWrVoFURTx0EMPtfxZAQKsJND5bk42LCPmc2y4pR2atzoxx9vAK3n5QbCQMNTGciwZQZJY2FnVqwU6J6xj91gBtTs5u1Rg5pRuie8KTjQgvoNwy+UPN8T3w0dmq8dCIixi94ahtu8XVXzTLglF1ZhiUSIs2tqi0L8lsDlZfrDmKngFdVzwW2g6ZMkIoUV1AHhu2szXO2+iv21OgEDxHaABxkk4CVV4G/fbdyJW4GQnsirVmXBLwAi43H96CQAYxXc9qxPAUMjSC573cEvz4lcv1IUqvrvlr/zHr9yOP3rFeYEXZJ/DanVCOUanRUoyIqFQMseCoPDRHwiLfDUMqqKoLqkaFol3bFeJb9F+LOH7dIxZWFjAVVddhcXFRVx55ZXIZDK499578e53vxuapuE973lP3ddfe+21OHPmDO68805s2bIF1157bfW5Xbt21X1tsVjEr/7qr2JoaAgXXnghdu/ejXPnzuGhhx7Ce9/7XjzyyCO47bbbWvr7/uZv/gZ33XUXvvGNb+C1r30tfvM3f7P63Lvf/W6cPXsWH/nIR3DVVVe19DkBAqw0DMdD1c5DwFB908WpU7jlWB3hSj0EBOLyhmQJWrOKmKg60Wp1kmsghrBigtj0nE0XECOvsbPPs2KSEN/HZxsQ34Q8DLKGlidoB4qTBei9z52r3r5qy0hHgiKdPL5phwNQ6/Gds/H4DoItlx+suQpeYfX49hPRkICoZPJV8zmZGbcPEauT7av6X/EdEN8B6mI85awYoRWodim+Iw5k25rBzii+AdbnmxLZDYlvqTXFt7UdUdN0W7VjsdQbgS4B6d3/oMdsQVZBf1EnX69kRGTGhoD47g+EJR6Vn61CdMxbgk26SXyLDh6H/Rpueccdd+Atb3kLvvSlLyEej1cfe+Mb34i//uu/bkh8v+c978HWrVtx55134tprr/VEVIuiiG9/+9t43eteh1DI/E1nZmbwmte8Bl/60pfwrne9C9dff31TfxsAhEIhfPWrX8Xu3bvx/ve/H9dffz02btyIT3/60/jv//5vvPjFL8aHP/zhpt8/QICVCo7jMDEQxok5w/LhzFIBC3nvim9d113N01gSpj/H2wDOEHhWfUgDzcaTYYZAThedrU48E9+LBYyT+14V38caWZ102fYxQPsRoh7fDoIw1t+7/TYnAEt80zBL6/kTD4mIh83jPlOsiE5MEj8gvpcfmGJjE1Yn59qo+AYMu7T8onEsUrtLRdWYfL3lYHUSEN8B6oJ6CdVYnSzRE7E9RHTMYWJFJ1PtBiW+KRrZilhJaK8to1aivKRpCPO130dB6b7iO8DyACW36QIHcF7k0LZYAIgEC46+gJ3VCZ3whJv069d1HUsWlVgzKJQURjlTQVZWIOX9P8ZSkfpBXS2/fyqFf/u3f6uS3gBw00034eKLL8bTTz+No0eP1liU+AVRFPHmN7+55vGxsTF87GMfwyte8QrccccdLRHfgOEv/olPfALvfe978Ru/8Rv4zGc+gz/5kz9BIpHAV77yFYhiMOUMEKAZrE5FTeJ7Mc+EUFlblSug8/eioiFdVJCKNA6+Zb2SgznlcgNLwmg4S6xOJlIRLJCur3rhlm5EDgzxvVRk5ovNWJ3UK95Qwj7oVFieaGR1cnohj+eJNcNLOuDvDYBRcVN7IDqHjYUECDxn8fg2nleCYuOyBg231HXDvlHwYNvYboeFoXgIpxeN6wCdWxydzVXHVZ4zcu/6HcEqJEBdWBXfVHXcTs+hCuxUpsPxUEdVpRc6EN+Nkm39VHwDRkU4bHPG9oriO0D/wxpuSeFodWI5KINjsD8QJr91lfjOsMGWzRDBSwUFO//qx63vYIex9yOvxEC0MSnULC6//HIMDw/XPH7eeefh6aefxtTUVNuI7wqefPJJ/PjHP8axY8eQyxkkQjpttDEeOnTIl8/4vd/7PfzgBz/A97//fVx99dXI5XL4whe+gC1btvjy/gECrETQgMupxQJjSeWk+B6KmcHjgDGHd0N8U0IpFJAwyw60mypTVBhyezwVhqqbikQr8U2tFRutgQCLx3e6gDWDpk2lG6sTSnxnigrmcyXHTjTGoidQzS5LNCK+733OVHtvHIlh/UisZpt2IBmxtzqhJHhFFR4nx32+pELVdKZo49TtGKB/IVpI7pKqQbARMjqhneGWANvdSzuAniM2JxtH4suiozsgvgPUBVVyK5qOhbwx6VA1HbMdsDqxm1it6qDaGwAGYhLWDESq1bAKGg0A1udbVnwrGmDzNTOK72UwKAXoHmgXQ15WQdY/iDosUuiEDwi6DvoFdDyqLBiZYMtE92xOliPWrVtn+3giYYTFFIvuPXi9QpZl3Hzzzfja177muE2FAPcDX/jCF7Bx40YsLS3h9a9/Pd71rnf59t4BAqxE0IDLs0sFNtwyaj9W8zyH0UQIZ8vdmTPpIraMNQ6nCjy+///27jzKqfr+H//zZp1JZh9mY98ZAVllVGSTXaSCyqJ+sAyKWGu1pYvoT1Fr7U9bldraKpWdU0WRTcFdWxEEUaQuVVlkEVmGZWCYPZkk9/vHOJn3vbmZSTLJJLl5Ps7xHOYmN7nxZnnf133d51vfxE7Dk2WNxzWSVJ8fW+WncAeg2QnP1cSO79PlDm+mMRBYx3eGzYxUqwkVP27T0XPVARW+2YChT2LhWyvjOxoxJ4Cq41sRdSIUvn88VkpRNQtVO13KCYX5nas76sJ3MHEnHo+sODZrE5Gok8bv1PNV2oXvnnnxH3MCAPx0UZPSkkyKrLTTP05wWVrlgPi5bc3JLcUDgNbSu61v13dzReaWd3wrvyidfmawjoXJLUkfkhVdwG7UCAcp/qNOVIVvnnyJC+KBYcPklmIxJcseme/0RBXNORAWLVqENWvWoG/fvnjzzTdx6tQpOJ1OyLKMffv2AaiPqAmX1157DbW19WOFvXv3oqqqqpk1iKgpYgHx+9JqxSSDmXb/XdziBPWfHD4X0HM5OdGaronHFmJhLstmgdloUMSRON0exTFG8BnfYlxmLaqE920ghW9JkpQTXDaR862IOjFyHKpHFmHSc3XHt8vtwfYDjRNbDm+lmBPAf8a3eOKo4epYm1X53qxyuBl1onMm1e+o28/ErFrOVzu9V20Bkam3KTq+hcL3gVONsUE985o/aR4P2PFNTZIkCTmpVhw7X58teLrcgcJ8Zb633WJUnO0MJ62BVX4UCt8XFaThvW9PK5Y1N+jz6fgOtvCtutzJ6WciDwe7HChMxPd0jdMNl7Hxx9Zv1Ik645vvwbggntBsiEsqVUWdhCItyYQvHhrfso370f5TFT4HN91zUhQxLeGSlqTf4dDGjRsBwFv8Fh06dCisz3XgwAHMnz8fdrsd48aNw6ZNmzB//nw8//zzYX0eokQiNnzsLVFeneGv4xsA+rZLx1fHLwAA/vLefvTITcFVFxc0+Vx1zErWNX/Zsg0FFXVHakWty3s8o8j4DqBwLU5mWeeWcex8Y+Ha31WEah2zbPjmZDmA+pxvf8TYR75v9UkRdaI6Jv7i2AXv/DImg4TLu2W32nalCONH8WRSpUbHt9VkhNkoebu8Kx0uxXcuo070R30yo86jXc/RIsYKW00Gn3jRcFB0fPuJOumhk45v/R7pUdjkioXvH3OGWiPfG9COOhEz4lqL1gSXzRe+lT9ewXbOGAwSTAbJe0mMVp4ZANSKGd/s+KYWUE9uKV6O5S/PkR3f8Uk8MGzolBLP9Pu7nLg5kiSFLSs7w2ZWXFpdv8ySsAe1Fkv9PnG5gps89Pz58wCADh06+Ny2du3alm/Yj1wuF/7v//4PVVVVWLJkCW688UYMHDgQS5YswaRJkzB16tSwPRdRIhEbPtSTEDeVtfyrsT2wdd9pnLhQC1kGfvny58hOsaKoi+98Aw2Ylaxv/o5FGorUDZPwNXQZVtTWeY/zaoOMOkm1mmCzGL1XKBw+23j1jz3AybPFnOajpQF2fCfoGEHvmsr4FvO9B3fK9DmBE0kp/ia31Mj4BuqjUcqq6+dpUEedmPne1R31yUZXEB3f6oktI3H1aJZw1VjD+MLp8ii+rxl1QglDvFSy4QN4ptyheXu4aXZ8t3LGN6Bd+G6u20G97dYQfsyUP/LaX5QOIeObHd/UEsrJLT0B5TmqB5eR6Mal8BNPkjl+7OIKR+E7nNRXvQD1M4snqrZt2wKAN54kUD179gQALF68WLF83bp1WL16dXg2DsDDDz+MTz/9FFOmTMHcuXNht9vxr3/9CyaTCbfddhtKSkrC9lxEiaQgXbvhQ+zU0pKXloRVtxR5T0Y6XR7MXfWpopNLTRF1wiKM7qjzZhs0zNUkSZJiXCdOcCl2fAcaVSLG9DQU+4DAJscEEHjUCU/Y6F5TGd/RyvcG/EedKDK+rY3FRXGCS3XHtzmRB7k6pT6W8dfIqEUsfLeJwMSWAJBp9+34Pny2ytv8ZjJI6NLGHpHnbm38ZaBm5aoy2oDW6/jWmvU7GhnfnbJsPoO8pGYOCFo6uSWg6sr0F3UidHwz45taQixu1zrdihxRfwc5aaqok1BO8FDrs2p0fJdWNX6vx0ThW+O95O8y7UTQuXNn9OvXD7t370ZRURHmzJmDuXPn4rXXXmtyvXvuuQdGoxH33nsvLrnkEtx0000YMmQIpk+fjvnz54dl27Zv347HH38ceXl5WLJkiXd5UVERFi5ciLNnz2LOnDlhzRInShRtUiyaJ/0ybM1fXdMjLxVLZ1/iHU+W17owe/knOHmhRvP+ikkCWUDUHZOfDOFc4VhOvJJPjGuoEY83AmxyyPVzjKh1fKelY4CFb8Y+6p84bhWLhxeq6/DFD2Xev0dGs/DtdMPzY8FQkfGdJHZ8N3526jO+hY5vfufqjsEgKX6/3UFMbnm2FeptWYrJLetPToonx7u0sevmKhp9vAqKqJwUsfDdODu89/aIRp34vkWjkfFtMEgozFde5tFct4J4u8kgwRBCwUZ5djuAyS052KMWUHZ8u5UTGTHqRFcsGhnfsdfxrfzONEhSVCeJjAXr16/H1KlTcejQIaxevRrLli3Dnj17mlxnxIgR2L59O0aPHo1Dhw5hy5YtsFgsWL9+Pe68884Wb1N5eTluvvlmuN1uLF++HDk5yoPO+++/H5dffjneeust/P3vf2/x8xElGpPRoHl1ZSCFbwAY0jkLf7thABq+Pk9eqEXx8k9xoabO5751nNxS1/xlCIud2eLcLRW1je+RQK4CbOpxRQFHnQiF75MXapqY76hx29jxrU9iVrL4PfXB/tNoqCVm2y3orXGVdiSpr3ytctYXvCsddZr3sas6xMXje38npii+iRNcuoLJ+G6FeptWx/cBofCtl5gTgBnfFACx47sh4qSh8xuIcOHbrNXx3foZ30B93Mmeo2Xev4OZ3DLUgweLnx95kaLLgR3f1ALiiabaOjcMQpHR3/vdZ3JLnZwV1jvF5JYu38J3qJNbhpP6e9MQ40VvrW7mUaNGNdnlvHLlSqxcuTKgxwKA7t27eyerDHQbAOCyyy7D+++/H/A6xcXFKC4u9vs8orS0NBw+fNjv7UajETt27AjosYhIW356EkrKaxXLmprYUm1i3wL8/po+ePDVrwEA+05V4Bcv7sHqW4oUJxQVkRH8PdedgDq+hcJcuSLqpPHfgUaV5KVpHyMGun67jGRIEiDLgEcGTpTVoLPGZfeKKxX4vtUlfxnfW7486f336MLckBrNWsKuKnxXOlxITTJrTm4JqDvEXXC5GdOjdyaDhIYjLH/RtVoUhe9IRZ0IHd/VTjdq69zYf6rSu6xHXkpEnjca+OmiZikyvitbu+NbOTDKsJkDHiyFmzrnu7nOVrH7OtSDB7Ofy7pE7PimcFF3fFcLBzn+LktNYcd3XFJPbunxyDgv5G/GRMe36gCdxwNElKi05rfJtAc3kfBPL++Mn4/q5v1724Gz2FuizPsWC4js+NYffx3fYpOTeCWfIuM7nB3fAU4+aDEZ0FZoeNKKO5FlmZNbJgDFVdCu+uJheW0dtu5rzPee3L9tq2+XxWRQvOcacr4r/ExuKUZHVjlUk1vyO1eXxLkVgok6EaOF20So3qa+cux8tVMRddJLRx3f/HRRs8TC9ukfu01OV4iTW0ay41s5sIrGxJYNgi18i9se6iDM0sQM1gDgcnu8kw8AnFiQWkaR8V3nRo2z8T3HqBN9UU9uWV5bpxiMZdsj970eKFOcdXwTEUWKVsxfehAd3w1+N6EXOmc3xkf8oCokipPGsYCoP/47vsWoE7HwLUSdhJDx7a/wHWjhHAA6ZDVd+HZ5ZIgXLvHqV32yaDSDvfv1Ke9Jj0ybGUO7ZUdl21I1JoQVO76VGd9ihr6bUScJwN/VCs05W9F4JW6kOr6TzEZF9NTJC7U4Ulrl/bsHC9+USMTCdpXTjSqHK2od39GY2LJBYX4qxLpLMFEnoV66pDy77ftF6VAtY8wEtYT4eatxulHjFDu+Ay188z0YD9STW5YKMScmg4S05OgnoflEnSTwxJZElNi0xr+ZAWZ8iyRJQtuMxkKi2MgCMOpE70x+fkdzFJNbNr6vxAn6agOY90XNX+Hb35hSi5jzrT5RA/geH/F9q0/iVYAN+3zLlye8yyb2LYhax7SymP1j4dtPx7f472qHSzG5JaNO9MkofO+6Quz4jmS9Tcz5/uzIeW9mvsVoUJwoj3f8dFGzslOsitloD5+tQrVwuZvWhDvh4tPxHaV8b6D+R21C73wA9ZlzPZvJPBK3PdS8ObOiOOX7RakufLPjm1oiuanJLf28t9JUGd/stIkP6sktxXzvTLslJiaRNBokxWDRGAPbREQUDVod32I2ZzDEhhZ14btOkTfL71y9UV9JBQBpSSZFs054o060izWBRp0AQKfsxkzv70t9C9/qYyEWvvVJ3TVbVu3EtgNnvct+0q8gGpsFQJXb7fDt+FZGnSgzvuvY8a17oXR817mVx2aRTFgQ4y13HS71/rtrjl3zNyNeRb+li2Ke0SAhO8Xq7fL+5kS59zaDFNksWIvJAJNB8p4di2bHNwA8fcMAfPb9eVzcPr3ZLwKxmyHUgrRickuNjm+x+wJgxze1jHjgoz4h7a87x2oyoE2KFWcrHTAZpIiekabwUUSduDworWwcXGWFWEyJBLPRALen/nuOHd9ElKi0ov7SQ+j4BoBc4bHOVCgnzGTHt76ZNX5Hc1XvLXHulgqHGHUSnoxvSQquIaiD0PGtFXXi0/Gto0INNVJcBe324O2vS7z1gTYpVlzaNToxJ4CysO2NOqn1N7ll42en0uFGWjLnVdA78YRGoBnf4nEZUP8ejxTxJPonh895/91TRzEnADu+KUBirtDXJy54/52dYlV05EWCOLjS6nhpTUlmI67o3sany1XL0O5tkP3jSYHJIZ6Fbu4MoVj4NhkkXZ2Vo9bXVGajv8taJUnCo1P7YGDHDDxw9UUxMSkiNU/R8e1SdhXE0j4UL8tm3ZuIElWBxhWPYen4Lvff8c0ijP5oHbOpOwnFqBNFx7ci6iSw90aS2Yj0ZOUxk81sDOqqMnXUiSwrC0fqwrd6YmzSB/W8V1u+POn9e9LF+RGvRzRFLGxXOVzweGRUCnGRqdbGz4Bd1R1e5+LklnonHsu4NK7g13JWiDlJsZoCjpcKhXjcVy585zeXbhBv2PFNAclNs+KbH39f/id0fEfysosGdqsJFT9eLtQ2ilEnwUqxmrBtwZU4UVaD7rmhnTHTmshDJF7eF2qcClGDpjp4mrptYt8CTOwbvUsMKXhWReHbjXNVjQOsrJTYKXxbTAbgx03zl01KRKR3uRqRERkhdnznNBF1Ik60xo5v/dFqkFEfy6UJRbyGIojbIysKzMFMZJ6XZsWFmsbOcVsQMSeAsvBd4XChrLpOkUnrdDcW5K0mQ0xEtVH4mU2N+/VUuUPR/T+5X9tobJKXOuO7us6tmHA1xc/kllUOF1we8WQj37t6ZDIEH3XSWvPpAf5PoutpYkuAHd8UIHFQ9O3JxsJ3a8QaXDOg/sesQ1YyhnTJjPjzhZPNYgq56A0oz/yqM+wAZcd3MINQIi1mo6TZMWExGng1gc5YVR3f4uSW2THU8Z1ls8Ag1b8vM2IogoWIqDUlmY0+382hFr7FuXlOq6JOxLEmuw/1R+sEsjqORMz4rqytL1iroxXFnOLmqB8/mIktgfpJXMUoCXXcSW0dT9YkAvH76PDZKm9kRH5aEi7pFN36gCLqxOHy5nw3sAvxJvYmM775/tUjMeok0MktFYXvCMacAECWXXssobeoE3Z8U0DEQbJyYsvIF77vu6oQ0we3R8dsW8JNnKe8rKvpyS3Z8U0tJUkSks1GxYQsgP+YE4pf4sGhM4ajTmxWEy4qSAOgfYk2EVGiyEtLUpykzEgOMepE6B4/U+GA2yN7v1/FIgzHlfqjNXmeuolJK+qkRlX4DjTjG1AeQwa7LlA/Nu2QZfM2Xh09V43+HTK8tzv5nk0I/k7ETbq4IOpzwKSqok7EiCCL0aCoX4hF8CqHG05GneieeEIj4MK3EHXSJjWyx2WZGsd9VpNBcbWNHvDTRQHx19ndGh3fkiShR15qwhW9AeUlT81lfLPjm8JB630U7EEKxT715JbnYrTjG6gveLPoTUSJTpzg3W4xhtzdKnbgemSgVIi6UkxuySKM7pgNGlEn6sktNSbqq3EqC9/BFJjzVDE99iCjTgCgY1Zj1KW645vv2cTgb99O7h/9qEWxi7uy1qVoIBJjTgDl56tSFXViYdSJLpkVGd8hRJ1EuONbK+qke26K7o69+OtAAfHX2a0+i0/h1fzklkKXA4uTFAZJZt+fhWAvS6XYZzWLHd9uVcd35E9oEhFRcMQJ3lsS/ZRiNSl+18UJLjm5pb4ZDBLUEdi+k1s2FuZq6tyoc3sUHd9JZkNQHbbi+xYIbUypnuBSJBa+eSykX1rfR+0ykjFQ6P6PFrG4Xelwo1Lo+E5RnegRY4KqHYw6SQTGECa3FDu+o5HxrbeYE4CFbwqQ1qQ6QOt0fCcyRRyB5uSWygldiFpKq7ubUSf6Y1XNHxCrUSdERFSvQFH4Di3fu4FY7BQ7yxTdsxxX6pK669u38K18b1U5XIqO72CvAmxp1AmgLHyz4zsxaU38OLlfQUxMZpoixJdUOupQ6agTbvPf8V3ldCvevzzZqE+KRkZP7E1uqXXc1yMvJaLPGQ38dFFA/HV2s/AdWeIXpVNjcktHnTjDOj/O1HJaRW52fOuP2PGtntyShW8iotgjTpbeOdveosfyN8GlOJ8MizD6pM75birqBKiPOxE7voMtXIcj6qRDE4VvB0/WJASzxr6d3K9tFLbEV4q18WRRlcOtyPhWR52IGd8AUF7TeF+t4j7FP/E71x1gxvdZMeM70lEnGpNb9tJhxzcnt6SA+Ctwt8bklolMHMBpRZ0oO75ZnKSW08r4Zn68/liMjfu0rNqpKHaw8E1EFHvG9c7D/13aEd+XVuPuMT1a9Fg5QjFSjDphEVH/xMvubRajT6HbaJCQYjV5c4rLa+uUUSdBNkPkqQrroVxFKHZ8nyirQZ3b4z0x43Q3bhvfs/ql7ubvlG1D33ZpUdoaJbui41uZ8Z1qVRe+lX+X1TQ2nvBkoz6ZDOKcbQFGnbRixzejTogESWajIvOtATu+I0sxuaXL94uylh3fFGZanTzs+NYfseNbPQjLbOEl9IlKkiR07tw5qo8Vrm1YuXIlJEnCww8/3OLHIqLwMBok/PHai/GvuZeiV37LDkrFxpXTiqgToYjIIowuicU1fw1M6gkua1sQdZKTalXkittDGFO2y0z2PoZHri9+NxA7Zvme1S91UThWYk4AZS5+Ra1LmfGtqp9YTQbFyafz1Y2xKCadTSZI9UxCvFQgk1vW1imvGoh0vc1sNCjew8lmI9plJDexRnzirwMFTD04qp8chxcNRFLzk1uy45vCS7vwzc+53vibEyDDZubkOjHqgw8+gCRJKC4ujvamEFGcCyTqhN2z+iQW3fxFWaoLeS2JOjEbDcgWJs1ODmFMaTUZUSB0jjfEnbz6+XH8/298610eSowKxQf191GsxJwA6qgTZce3+ooKSZIUJ38uCIVvfufqkxh14gog6kTs9gag+P6MFPFq3x55KUFNYBwv+OtAActJteLgmSrF3xRZ4g+gQzPqhB3fFF5a7yNGneiPv8E1Y05C9+2338JsDk+3fKiPFc5tICL98tvx7WbUid6ZxcJ3mvaxnFj4rnQoo05CiSrJS7N6M2tDvYqwQ5YNJy7Un6Q5crYK2w6cxfMfHvLebjRImHFJ+5Aem2JfpywburSx4/DZKgzr3gaFLbzqJZzEqJOaOjfKhGK2uuMbqC+Gl//Y0St+5zLqRJ/E/eoKIOpEzPfOsJlb5bc402bB96X1JxT1GHMCsPBNQVB3BbDwHXniJXt1GpNbih3fLE5SOHByy8Tg7wqRbBa+Q1ZYWBj1xwrnNhCRfuVqZHy7PbJi4i1OtKZPJkXUib+O78YTqBW1LjiFY5BgO74BoHMbO74+UQ7Ad7LLQHXMsmHX4XMAgMfe3ItqIX4lw2bGszcNwtDubUJ6bIp9BoOE135xBf57tAyDO2XGTMwJAKRalQ0Hp4SraNQZ34D/KxMYdaJP4lU2Lk/zUSeKfO8IT2zZQPxejqWTSuHE00oUMHXUCQvfkddc1InY8e0vuoAoGFonUFj41h92fIefVr62GE9y7tw53HHHHSgoKIDVakXfvn2xfPnygB6ruLgYV155JQBg1apVkCTJ+5+Yw621DbIsY82aNbjhhhvQs2dP2O12pKamoqioCM8++yw8AQzCm3Ly5EmYzWZ07NjR72M1bPPcuXNb9FxEFB7ihINnKhyQZdlnnMmOb30yBdnxXVHrUjTahNLx/fNR3dC3XRrGXpSLiX0Kgl4fUE5wKRa9C/NT8dqdw1j0TgCpSWaM6JkTc5E2Ysc3AJRcaCx8q6NOAMDmZ/vN/M7VJcWcbQF0fJ+pbL2JLRvMHtoZmTYzuuemYPrgDq3ynK0ttr41KKapB0etdQYqkSkL31qTW7Ljm8JLq5OH7y398XeiLKsVcuQSUVlZGS6//HJcuHABRUVFqKysxIcffohbb70VHo+n2YLwsGHDUFJSgrfffhvdunXDsGHDvLcNGDCgyXUdDgduuukmZGZmonfv3hg0aBDOnj2LnTt34s4778Qnn3yClStXhvzaCgoKcM0112DDhg146623MGnSJJ/7LF26FABw2223hfw8RBQ+YjOL0+1BWXUdjKoOb04UqE9i3qy/yS3Fwnd5bZ2iWB5Kx3eftunYctfwoNcTdcy2+Sy7qm8+npzeP+YKoZRYTEYDkswG1NbVnzwsKRcK30m+8XMpVu3PkNnA71w9Eie3dAfb8d1Khe+h3drgk/vHwmSQYupqinDirwQFTP3B89clQOEjniF0suObWoH25JYsfOuNySDBIAHqOVay7C3Mh5ZloPZCyx4jGpLSgQgO9F599VVcf/31WLVqFex2u3fZ1KlT8Yc//KHZwvfcuXPRvXt3vP322xg2bFhQhWqTyYT169dj8uTJsFgaO/rPnDmDSZMmYdWqVbjlllswYsSIkF4bAPzsZz/Dhg0bsGTJEp/C9969e7F9+3b07dsXl156acjPQUThk55cnxvaEGFxusKB7BTlFT/s+Nan/u0zsP9UJUwGCZd0ytK8jzrqJEmIR4tWM0SftmmKv38zrid+Mbq7bos0FF9SrCbU1jkBQJnxrRV14meCV8ZL6ZMpyI5vMeO7TSs2muo9Y56FbwqYT8Y3O74jTjzocDLjm1oBM74TgyRJsJgau1MatLjju/YC8KdOLXuMaFjwPZCcEbGHT0tLw/PPP+8tegPAlClTcPHFF+Orr77CkSNHfCJKwsVkMuG6667zWZ6Tk4PHHnsM48aNw6uvvtqiwvfYsWPRrVs3bNmyBSUlJcjPz/fe1tDtPW/evJAfn4jCS5Ik5KRYcbysBgBwuqJW0eUL6P8gOFE9MLk3+rRNQ++26Zpd1IAyl7iy1gXZ2lisCSXqJBy656bioZ/0xkffncWsyzphVK/cqGwHkZYUqwlnK50+y9Xfq0ATGd/8ztUlUwAZ37Is40ylA4fPVHnnQwAYLRxOLHxTwNSXw+WmaU+IQuFjaSbju1bs+Gbhm8JA632U7KczgeKb1WT0KXxzcsvIuOSSS5CV5dtZ17NnT3z11Vc4efJkxArfDT7//HO88847+P7771FdXQ1ZllFRUQEAOHDgQIseW5IkzJs3DwsWLMDKlStx7733AgCcTidWr16NpKQkzJo1q8WvgYjCJzdNKHyXOxQZypLEidb0Kj3ZjOIrujR5H2XGdx3Et0IoUSfhMueKLpjTzLYTRUOKRoEb8NPx7SfqhPFS+iSe0HD92PHt8cjYcbAUmz4/jm9PluPI2SpUCXMXNGCjafiwmkEBY8d362t2ckuh45tRJxQOWgc00TzIocjR+s7g5JaR0b59e83lKSkpAOpzuCPF6XSiuLgYa9as8XufhgJ4S8yZMwcLFy7E0qVLsWDBAkiShE2bNuHMmTOYNWsWMjMzW/wcRBQ+YkPL6QqH4spCi9HACIkEpo46Ea9A5ZiQyJe/+BKtgri/jm+zid+5emQWzhyWlNfiL+/ux7rPjnlPPDelf4eMCG5ZYmHhmwKWlmxCtxw7Dp6pQqbNjC5t7M2vRC0izu6sObmlcJDCqBMKB2Z8Jw6t/NYWF76T0utjQ+JNUnpEHz6aBaRFixZhzZo16Nu3L5544gkMGjQImZmZMJvN2L9/P3r16gVZbj5zsDk5OTm47rrr8NJLL+GDDz7AlVdeyUktiWKY2NByuqJWMZcMOw8TW4qi49sFm1CoS+KYkMiHVqQJoIwNapDip0hu4uSWumQU9usH+87gg31n/N43y25B52wbOrex4yf926J7bkprbGJCYOGbAiZJEhbPGoxNnx/H2IvyopbxlkgUk1tqZHyz45vCLdni+z7iZ12ftL4z1JObBU2SIpqVTcHbuHEjAHiL36JDhw6F9bl+9rOf4aWXXsKSJUvQpUsXvPfee+jZs2eL8sOJKDKa7PjmmDKhqaNO0pMbO8DZ8U3ky18Xt1bHt83PfXnCUZ9MfiYtNUjAlb1ycdXFBeiem4Iu2Xak28ya96WWY+GbgtIjLxW/m1AY7c1IGGJhyqkVdcKObwozrfcRD3L0yWLy3a+MOoldFkv9vnG5XEGtd/78eQBAhw4dfG5bu3ZtyzdMMHLkSBQWFmLDhg3IyMiALMvs9iaKUXnCXD1nyh2KKws5sWViSxOjThwu1AiNNhwTEvnSyvI2SNqflxQ/Gd/+CqQU37qqUhK6trFj+iUdcN2gdorfYYosjmqIYlhzGd+1wkA0id05FAaMOkkc6o7vFKsJVo1iOMWGtm3bAgD27dsX1Ho9e/YEACxevFixfN26dVi9enV4Nk5w++23w+Fw4LnnnoPZbMbs2bPD/hxE1HI5aWLHdy07vslL7PiudLhQ5Ww84ap1ZSBRotOexNKkGXXnN+ObJxx1aVzvPDxw9UWYN6IrXvnZ5Xj/NyNxx6huLHq3Mn66iGKYovCtFXUiLLOyA4PCQLPjm4VvXVIXvjPtvLwulnXu3Bn9+vXD7t27UVRUhDlz5mDu3Ll47bXXmlzvnnvugdFoxL333otLLrkEN910E4YMGYLp06dj/vz5Yd/O2bNnIympfjA/depU5OTkhP05iKjlxKiTU+UOON2NzRRmdh4mNHFyS1kGSiud3r+TzbxgnEhNq/Ctle8N+J8Ik9+7+mQyGjB3eFf8f5MuwpDOWZw4OkpY+CaKYcqOb43JLcWObzM/ztRyWh3fvKxVn9QdfVl2q597UqxYv349pk6dikOHDmH16tVYtmwZ9uzZ0+Q6I0aMwPbt2zF69GgcOnQIW7ZsgcViwfr163HnnXeGfRszMzMxcOBAAJzUkiiWiZNb1tS5ca6qzvu3VhQWJQ51Ee9CTeN7g80QRL60sry1lgHs+CaKBp6yJYph6oxvWZYVZwkVHd88SKEw0DqgsfnpTKD4pv7OyGa+d4vIsu/JyVGjRmkub7By5UqsXLkyoMcCgO7du3snqwx0GwDgsssuw/vvvx/wOsXFxSguLvb7PE05duwYdu3ahc6dO2Ps2LEhPQYRRV623QKjQYLbU/8dcPx8jfc2Rp0kNovJAKvJoDjOaMBmCCJfWsVsrS7w+vtqf4ZY+CaKHH66iGKY+gdQ7Pquc3u8BysAO74pPNRRJxaTAUYDL8nSI3XUCSe2pHB47LHH4PF4cOedd/JyTqIYZjBIaJPS+L1/7Hy1998WXnKf8MS4ExEL30S+tGJNUvx8hvwVxBl1QhQ5bOMjimHqH8A6t8fbhaPuwmDHN4WD+oCGE1vql7rwzY5vCtW+ffvwxBNP4NChQ/jPf/6D9u3b44477oj2ZhFRM3JTk3Cq3AEAOF7Gjm9qlJZkwtlKh8/yJE5uSeRDq+PbX8a31pW0JoPEZgGiCGLhmyiGmU3qju/GYreY7w2w45vCw2yUFJc+s7NHv6xmdnxTeJw8eRLLli1DcnIyRo4ciWeeeQZ2uz3am0VEzRAnuDwmRJ3wkntK9ZNPzHEhkS/NjG8/hW+t5SZ2exNFFAvfRDHMojrwcDZR+GbHN4WDJElINhtR6XAB4CRGeqb+fmHhm0LVXJY5EcWm3LTGCS5PXhA6vln4Tnj+JuZTR+IRkXYx2/9nyACDBAiJpTzZSBRh/IQRxTD1j6BTiDcRo04aunSJwkG8eoBRJ/plVR28Zqew8E1ElEjEjm9xHhn1FYeUeFKtvvnEZqPEAh2RBs3Ct5+Ob0mSYFfFnfBzRRRZ/IQRxTCjQVnQFg9KxI7vJHZ7UxiJ3Ty8pFW/1BnfmTYWvomIEklumlVzuZVFmISnFXXCbm8ibVrd3f7iggDfTHBObEkUWRzVEMU48YdQzPgWO77VWb1ELSEWu5M1JmAhfVBfyp5t1y6AEBGRPuWmJmku5+SWlJrk2/HNZggibeoObsB/xzcA2K3KzxI7vokii58wohgn/hCKUSdixzfzvSmcxFxvGw9ydMtncktGnRARJRQx6kTEIgxpdasy/o5Im9Eg+Xw+/GV8A75FcX7nEkUWP2FEMU7sylR0fNc1/juJHd8URoqoEx7k6Jb43WIxGWDnviYiSij+ok7Y8U2MOiEKjjq+pKmOb5tPxjejTogiiaMaohgnHnwoJ7dkxzdFRjIL3wlBnNwy226BJHHQTUSUSNqkWKH11c/uQ9IqfHNMSORfqqrQHUzGt8nA71yiSOInjCjGmRUd3+Lkluz4psgQ30+MOtEvcT9n2RlzQkSUaMxGA7I0JjZmxzcx45soOL4d376focbbVBnf/M4liih+wohinPgj+v25Ku+/2fFNkSJefmdr4jI9im9Du7Xxxp2M750f5a0hIqJoyNHI+bbwsvuEp9nxzcI3kV/qaJOmMr7VRXKzgd+5RJHEwjdRjLusa5b33+9/e9r7b3Z8U6RM6JMHAJAkYHzvvChvDUVKXloStt4zCi/Nuwx3je4e7c0hIqIoyEtL8lnGjm/S6vhOYtQJkV/qQndTGd8+hW/GSxFFFFv5iGLcuIvysOKjIwCA7d+dRbXTBZvFpOj45mQzFE4T+xbgvV+PQLLFhHYZydHeHIqggvRkFKRzHxMRJapczY5vFmESnVbRjh3fRP6pPzNNTRpvV09uyZONRBHFTxhRjBvSJct7uaHT5cGH+88CUHZ8W/ljSWHWPTeVRW+iAB05cgSSJGHUqFHR3pSw0/NrIyIgN8238M0iDKUx6oQoKGLhO9lshKmJE4h2dcY3o06IIoqjGqIYZzYacGWvXO/f7317CgBQW8eObyIiIiIKXW6qRtQJO74Tnubklow6IfJLjC9pKt9bfV+AUSdEkcZPGFEcGCfkLP9772m4PTIcLnZ8ExEREVHoNKNOOK5MeElmA0yqLlQ22hD5J04Im9pEvjfgW/g2cUJhoojiqIYoDozsleMdfJ6rcuK/R8+z45uIKAY8/PDD6NKlCwBg69atkCTJ+19xcbH3ftu2bcMvfvEL9OvXD5mZmUhOTkZhYSHuvfdelJWV+TzuBx984H2MkpISzJ07F+3bt4fJZMLTTz/tvd/777+PESNGwG63Izs7G9dffz0OHDiAhx9+GJIkYeXKlT6PXVlZiUceeQQXX3wxbDYb0tLSMHLkSGzatCmk16bliSeegCRJuP/++/3e58orr4QkSdi+fXuTj0VEkaMVdcKOb5IkSVHIAxh1QtQUMdO7uY7vFFXUCb9ziSKLk1sSxYG0JDMu65qN7d/V53u/++0pdnwTEcWAAQMG4Prrr8f69euRl5eHiRMnem8bNmyY99+/+93v8Pnnn6Nv374YPXo0HA4H9uzZgz/96U/YsmULPv74Y6SkpPg8/pkzZzBkyBC4XC4MGzYMtbW1sNlsAID169djxowZ8Hg8uOKKK9ChQwfs3r0bRUVFuOaaazS399SpUxg9ejS++eYbtGvXDuPGjUN1dTV27tyJa6+9Fo899hjuvffeoF6bljlz5mDhwoVYsWIFfv/738NkUg45v/vuO2zduhWFhYXNPhYRRY5W1Akvuyegvnh3vrrO+7eNUSdEfnXMtnn/3SHL1sQ9fSe3ZMc3UWSx8E0UJ8ZelOstfL/3zSlcVJDmvc3KDgwiiiEOtwMOtyPg+6eaUyFJykF/hbMCMuSA1jcbzEg2KSdjrXPXocZd0+R6VqMVVqNvt2Mwpk6digEDBmD9+vUoLCzU7LAGgAcffBCXX345MjMzvcscDgfuvvtuPP/881i0aBEefPBBn/XeeOMNXHvttXjxxReRlNRYoLpw4QLmzZsHj8eDtWvXYvr06QAAt9uNO+64A0uWLNHcjjlz5uCbb77BPffcg0cffRRmc32O66FDhzB+/Hg88MADmDRpEvr16xfwa9PSpk0bXH/99XjxxRfx+uuvY8qUKYrbly5dClmWcdtttwX8mEQUfjmMOiE/Uq1mAI2/o+z4JvJvZM9cFA/tjMNnq/DLMT2avC8zvolaFwvfRHFizEV5eHjzNwCAg2eqFEUiRp0QUSxZ9tUyPPfFcwHf/6MbP0KaJU2xbMK6Caioqwho/Wu6XYM/DvujYtnrh1/Hwo8WNrneHf3vwM8H/Dzg7WyJSZMm+SyzWq14+umnsXz5crz66quahW+r1YpnnnlGUfQGgFdeeQXnzp3DhAkTvEVvADAajXjyySfx0ksvoaJC+f/v888/x5tvvomhQ4fi8ccfV/yOdO3aFU899RSmTp2KpUuX4m9/+1tLXzJuv/12vPjii1i6dKmi8O1yubBq1SpYLBb89Kc/bfHzEFHoksxGpCebcaGmsbOXhW8C4BN1ksSObyK/jAYJD1/TJ6D7svBN1LpY+CaKEx2ybCjMT8XekvpCxnenK723MeqEiCj2HT9+HJs3b8bevXtRXl4Oj6c+sspiseDAgQOa6wwaNAjt2rXzWb5jxw4AUBS9G6SlpWH8+PFYv369Yvm7774LAJgyZYpPhz3QGF/y6aefBvGq/BsxYgR69+6NN998E8ePH/e+js2bN6OkpAQzZ85EmzZtwvJcFJuqqqqwYcMGfPLJJ9i1axe++OILOJ1ORaQORV9uqlVR+GYRhgAgNcms+Jsd30ThYVdlfJsZdUIUUSx8E8WR8b3zvIVvETu+iYhi26JFi3DffffB6XQGtV7Hjh01l584cQIA0KFDh4DXO3LkCABgwYIFWLBggd/nPHv2bFDb2JR58+bhV7/6FZYvX46FC+s78BtiWBhzon8HDhxgV38cyE2z4gAbKkgljZNbEkWEOuObJxuJIouFb6I4MrZ3Hv727+98lvMAhYhiya0X34pZvWcFfP9Uc6rPsrenvR1Uxrfa1V2uxuiOo5tcr6X53oH6+OOP8Zvf/Abp6el4/vnnMWrUKOTn58NqrX/+tm3b4uTJk5rrqiNO1LQ6twFAln3/37ndbgDA8OHD0bVrV7+PGc4u7NmzZ+O+++7D8uXL8cADD+DYsWN4++230bVrV4we3fT+ofiXmpqKW2+9FUVFRRgyZAjWr1+PP/7xj82vSK1KPcElizAE1E9uKUq28H1BFA42ixGSBDQM1Uz8ziWKKBa+ieJI37bpyEuz4lS5ctI4dnwTUSwJx6SRqRbfYngwzEYzzEbfgng0bNy4EQDw6KOPYvbs2YrbampqUFJSEvRjFhQUAACOHj2qefsPP/zgs6x9+/YAgGnTpuHuu+8O+jlDkZGRgZkzZ2LlypV49913sXPnTng8HsydO9dv0Z70o1u3bli6dKn371dffTWKW0P+5KomuGTGNwEaGd883iAKC0mSYLeYUOlwAQAsjDohiqiYGNXs3bsXf/rTnzBmzBh07NgRVqsV+fn5uO6667Bt27Zobx5RzDAYJIy5KM9neZI5Jj7KREQJyWKxAKiftFHL+fPnAWjHkrzyyiua3dnNGTp0KABg3bp1PreVl5d787xFY8eOBQBs2rQp4Odp7rUF4vbbbwcA/POf/8Ty5cthMplQXFwc8uMRUXjlqArfzJslgBnfRJEk5nyz45sosmLiEzZ27Fjce++92L17NwoLCzF16lTk5ORg48aNGDlyJJ5++ulobyJRzBinUfi2mjgQJSKKljZt2sBsNuPgwYPeOBFRz549AQDLli1DXV3jBHLffPNNk1nbTZk+fToyMzPx1ltvKSax9Hg8WLBgAcrLy33WueyyyzBmzBj85z//wfz581FZWam43ePx4J133sH27dsDfm2BuOyyy9C/f39s2LABR48exeTJk70d60QUfblpyqgTdnwT4NvxnWzh8QZRuIg534yXIoqsmPiE9e7dGy+++CLOnDmDd955By+//DK++uorLF68GLIs47e//S2++eabaG8mUUy4vFs2bKqBJzu+iYiix2KxYOLEiSgpKUH//v3x05/+FHPnzsWKFSsAAHPmzEF+fj42b96MXr16YebMmRg3bhwGDBiA4cOHo1OnTkE/Z0ZGBhYvXgyDwYBp06Zh+PDhuOmmm1BYWIg1a9Zg1qxZ3m0TvfDCC+jXrx+efvppdOrUCWPGjMENN9yA4cOHIz8/HxMmTMDu3bsDfm2Bauj6BjipJVGsUUedWI0scBI7vokiyW4VC9+8yoYokmKiWvbOO+/gxhtv9Dk4u/322zF+/Hi43W688sorUdo6otiSZDZiRI8cxTJ2fBMRRdfSpUtx8803o7S0FC+++CKWLVuGrVu3AgCys7Px6aef4qabboLT6cRrr72G48eP45FHHsGaNWtCfs4ZM2bgrbfewrBhw/DZZ5/hzTffRO/evbFr1y7vpJjZ2dmKdfLy8vDxxx9j0aJF6NGjBz799FNs2rQJx44dw8CBA/GPf/zDWzQP5LUFasyYMQDqc8YnTJgQ8mumxNanTx/N/w4ePBjtTYtreaqOb7OJRRgCUq3s+CaKlLTkxs9XEo/liSIq5ie37N+/P9555x2cOHEi2ptCFDPG9s7DW183TobGjm8ioujKzc3F6tWr/d7evn17vPDCC5q3HTlyxGfZqFGjAsr+HjduHMaNG6dY5vF4sHPnTgD14yi15ORkzJ8/H/Pnz2/28YHmX1sgGrLIb731VhjZTRo3pk2bhv/9739BrbN69WoUFRVFaIsoEjpkJqNztg1HSqvRt10aO3sJgDLqxCABFsYxEIXNtQPbY8fBUqRaTRh9UW60N4dI12K+8H3o0CEAQH5+fpS3hCh2jC7MhdEgwe2RYZCA9GRz8ysREZGuHD9+HGazGbm5jQdMdXV1eOCBB/D1119j9OjRMTF+Ki8vx9///ndYLBbMmzcv2ptDQThy5Aj27dsX1DrV1dUR2hrg66+/1lzep0+fiD1nIjAZDXjhtsuw/cAZjLkoD5LEjm9SXgnQJsXK9wVRGE0b3B6Xd8tGps0MmyXmy3JEcS2mP2EHDx7Eli1bAADXXHNNwOv5G/wePHgQ3bp1C8u2EUVTlt2C+yddhCXbDmHGJR2QYbM0vxIREenKtm3bMGvWLAwaNAidOnVCVVUVvvjiC5w4cQJZWVl45plnorp9K1aswNatW/Hhhx/i5MmTmD9/Ptq2bRvVbaLgiHnvpG/tMpIxc0jHaG8GxZAOWTbcPqIrtnx5EvPH9Yz25hDpTruM5GhvAlFCiNnCt8vlQnFxMRwOB2bOnInBgwdHe5OIYsotw7rglmFdor0ZREQUJYMHD8bNN9+Mbdu24dtvv4XT6UTbtm0xb9483HfffejcuXNUt2/r1q1YtWoVcnJycNddd+Gxxx6L6vYQEVFw7pt0Ee6bdFG0N4OIiChkYSl8RyL/76677sL27dvRtWtXPPvss0E9Ni+DJCIiIr3r0aMHVqxYEe3N8GvlypVYuXJltDeDiIiIiIgSVFgK3+HO/3vkkUewePFi5OXl4e2330ZWVlZLN5GIiIiIiIiIiIiIEkRYCt/hzP/7xz/+gYceegjp6el466230L1797A9NhERERERtZ5rr70WJ0+eBAAcO3YMAPDss89i06ZNAICCggJs3LgxWptHRERERDoWUxnfL7zwAu666y7YbDa8/vrrGDBgQLQ3iYiIiIiIQvTf//4X33//vWLZDz/8gB9++AEA0KlTp2hsFhERERElgJgpfL/xxhsoLi6G2WzGxo0bccUVV0R7k4iIiEggSZL33x6PBwaDIYpbQ4nA4/F4/y2+/yh+HDlyJNqbQEREREQJKiaOWD/66CNMmzYNAPDyyy9j/PjxUd4iIiIiUpMkCRaLBQBQVVUV5a2hRNDwPrNYLCx8ExERERFRUGKi43vy5MmoqalBly5dsGnTJm/mn2jYsGGYO3du628cEREReaWmpqK0tBSnTp0CANjtdnZ+U9h5PB5UVVV532epqalR3iIiIiIiIoo3MVH4LisrAwAcPnwYhw8f9ns/Fr6JiIiiKzs7G1VVVaitrcWJEyeivTmUAJKSkpCdnR3tzSAiIiIiojgTE4VvWZajvQlEREQUAKPRiI4dO6K0tBQVFRVwOp3R3iTSKYvFgtTUVGRnZ8NoNEZ7c4iIiIiIKM7EROGbiIiI4ofRaERubi5yc3MhyzJPYFPYSZLETG8iIiIiImoRFr6JiIgoZCxQEhERERERUSzibFREREREREREREREpCssfBMRERERERERERGRrrDwTURERERERERERES6wsI3EREREREREREREekKC99EREREREREREREpCssfBMRERERERERERGRrkiyLMvR3ojWkpqairq6OnTr1i3am0JEREREYXTw4EGYzWZUVFREe1OolXGMT0RERKRPLR3jJ1THt91uh9lsbtXnPHjwIA4ePNiqz0mRxX2qL9yf+sN9qi/cn/oSyf1pNptht9sj8tgU2zjGp3DgPtUX7k994f7UH+5TfYnlMX5CdXxHQ58+fQAAX3/9dZS3hMKF+1RfuD/1h/tUX7g/9YX7k/SC72X94T7VF+5PfeH+1B/uU32J5f2ZUB3fRERERERERERERKR/LHwTERERERERERERka6w8E1EREREREREREREusLCNxERERERERERERHpCgvfRERERERERERERKQrkizLcrQ3goiIiIiIiIiIiIgoXNjxTURERERERERERES6wsI3EREREREREREREekKC99EREREREREREREpCssfBMRERERERERERGRrrDwTURERERERERERES6wsI3EREREREREREREekKC99EREREREREREREpCssfBMRERERERERERGRrrDwHSG1tbV46KGH0LNnTyQlJaFt27a45ZZbcOzYsWhvGmmorq7Gpk2bcOutt6Jfv35IS0uD3W5H//798cgjj6CystLvuqtXr0ZRURFSUlKQlZWFSZMmYceOHa249RSIc+fOITc3F5IkobCwsMn7cp/GtpKSEsyfPx89e/ZEcnIysrKyMHjwYNxzzz2a9+f+jF0ff/wxrr/+euTn58NsNiMrKwtjxozBunXr/K7D/Rldn332GR5//HFcd911aNeuHSRJQlJSUrPrhbLfduzYgUmTJiErKwspKSkoKirCqlWrwvVSiELCMX584Rhf/zjG1w+O8fWDY/z4o+sxvkxhV1NTIw8dOlQGIBcUFMgzZsyQi4qKZAByTk6O/N1330V7E0llyZIlMgAZgNynTx95+vTp8oQJE+TU1FQZgFxYWCifOnXKZ7358+fLAOTk5GR5ypQp8oQJE2STySQbjUZ5w4YNUXgl5M/s2bNlSZJkAHKvXr383o/7NLbt2LFDzsjIkAHIvXv3lmfMmCFfddVVcqdOnWSj0ehzf+7P2LV27VrZYDDIAORLLrlEnjlzpjx8+HDvsgULFvisw/0ZfVOmTPH+Xjb8Z7Vam1wnlP22YcMG2Wg0ypIkySNHjpSvv/5672d//vz5kXhpRM3iGD/+cIyvfxzj6wPH+PrBMX580vMYn4XvCFi4cKEMQL788svliooK7/KnnnpKBiCPGDEiiltHWlatWiXfcccd8v79+xXLT5w4IQ8cOFAGIN94442K295//30ZgJydna1Yb8eOHbLFYpHT09Plc+fOtcr2U9Pee+89GYA8b968JgfF3Kex7fjx43JGRoacnJys+UO6a9cuxd/cn7Grrq5OzsnJkQHIL730kuK2HTt2yElJSbIkSYoiEvdnbHj88cflBx98UN68ebNcUlLS7KA4lP127tw5OT09XQYgr1+/3ru8pKRE7t69uwxA/ve//x3+F0fUDI7x4w/H+PrGMb4+cIyvHxzjxy89j/FZ+A4zp9PpPVuxZ88en9v79esnA5B3794dha2jUOzYscP7oXc4HN7lkyZNkgHIf/nLX3zWufvuu2UA8pNPPtmKW0paqqur5e7du8u9e/eW9+/f3+SgmPs0tt18880yAPmZZ54J6P7cn7Hrq6++8nbaaWnoOHj55Ze9y7g/Y1Nzg+JQ9tuf//xnGYA8ZcoUn3U2bNggA5AnT57c0k0nCgrH+PrDMX584xhfPzjG1w+O8fVDT2N8ZnyH2fbt21FWVoZu3bph4MCBPrdPmzYNALB58+bW3jQKUf/+/QEADocDpaWlAOrzHd9//30AjftUxP0cO37/+9/j4MGDeO6552A2m/3ej/s0tp0/fx5r165Feno65s6d2+z9uT9jm9VqDeh+WVlZALg/41Wo+23Lli1+17n66quRlJSE9957D7W1teHeZCK/OMbXH47x4xvH+PrAMb6+cIyfGOJtjM/Cd5h98cUXAIBBgwZp3t6wvOF+FPsOHToEAN5JGQBg7969cDgcyMnJQfv27X3WadjPX375ZettKPn48ssv8dRTT2HOnDkYMWJEk/flPo1tH330ERwOB4YNGwaz2Yx169bhV7/6Fe68804888wzOHXqlOL+3J+xrWvXrujatSv27t2LtWvXKm7buXMn3n77bXTp0sX7ueX+jE+h7reGv7XGUhaLBX379kVtbS327dsXga0m0sYxvv5wjB+/OMbXD47x9YVj/MQQb2N8Fr7D7OjRowCgufPF5Q33o9j317/+FQAwceJE7xnM5vaz3W5HRkYGzp8/j4qKitbZUFLweDy47bbbkJGRgT//+c/N3p/7NLZ9/fXXAIC8vDwMHz4c06dPx1//+lc8++yzuPvuu9GtWze88sor3vtzf8Y2o9GIlStXIj09HTNnzsSQIUNwww03YOTIkRg2bBgGDBiAd955BxaLBQD3Z7wKZb+Vl5ejrKysyfU4lqJo4BhffzjGj08c4+sLx/j6wjF+Yoi3MT4L32FWWVkJALDZbJq32+12xf0otr3xxhtYtmwZzGYz/vCHP3iXN7efAe7raHvmmWfwySef4IknnkB2dnaz9+c+jW3nz58HAKxevRpffvklli1bhjNnzuDw4cP49a9/jaqqKsyaNct7Fpn7M/YNHz4cW7duRZcuXbB79268/PLL+PDDD2G32zF27Fi0bdvWe1/uz/gUyn4T9x/HUhRLOMbXF47x4xfH+PrCMb7+cIyvf/E2xmfhO8xkWQYASJLU5O0U+7799lvMmjULsizjiSee8OYAAs3vZ/E+1Pp++OEHPPDAAxg5ciSKi4sDWof7NLa53W4AgMvlwqJFi3DLLbegTZs26Ny5M5566ilMmzYNTqfT2/nD/Rn71qxZg0svvRQdO3bErl27UFlZif379+PGG2/Eo48+irFjx6Kurg4A92e8CmW/BbIfua8pGjjG1w+O8eMXx/j6wzG+/nCMr3/xNsZn4TvMUlNTAQBVVVWat1dXVwMAUlJSWm2bKHjHjh3DxIkTcf78efz617/GL3/5S8Xtze1ngPs6mn7+85/D6XTiueeeC3gd7tPY1rB/DAYDZs+e7XP7LbfcAgD44IMPFPfn/oxNBw4cwOzZs5GTk4PXX38dRUVFsNvt6NGjB/75z3/iJz/5CXbu3IkVK1YA4P6MV6Hst4Z1xNuaW4eoNXCMrw8c48c3jvH1h2N8feEYPzHE2xjfFNZHI3Ts2BFA/aBKS8PyhvtR7Dl79izGjRuHo0ePYs6cOXjyySd97tPcfq6qqkJZWRkyMjIUH3BqHVu2bEFGRgbuuOMOxfKG2YGPHj2KUaNGee+bkpLCfRrjOnfuDADIz8/XnC284fbTp08D4Gc01r300kuoq6vDxIkTvZe0iWbMmIHNmzfjgw8+wLx587g/41Qo+y0tLQ3p6em4cOECjh07ht69e/usx7EURQPH+PGPY/z4xzG+/nCMry8c4yeGeBvjs/AdZg2Xyu3Zs0fz9obl/fr1a7VtosBVVFTgqquuwt69e3HddddhyZIlmpdv9OrVC1arFWfOnMGxY8d8wvm5n6OvrKwMW7du1bytpqbGe5vL5QLAfRrrBg4cCKA+B1CWZZ/PZWlpKYDGs8Pcn7GtYVCTlpameXvD8nPnzgHg/oxXoe63/v3748MPP8SePXt8BsV1dXX43//+B6vVil69ekX2BRAJOMaPbxzj6wfH+PrCMb6+cIyfGOJtjM+okzC74oorkJ6ejoMHD+K///2vz+3r1q0DAEyePLm1N42a4XA4MGXKFOzevRsTJkzAmjVrYDQaNe+bnJyM0aNHA2jcpyLu5+iSZVnzv8OHDwOo/6JuWJaRkQGA+zTWXXzxxejSpQtqamqwa9cun9sbLn8cNGgQAO7PWJefnw8A2L17t+btn376KYDGLh/uz/gU6n67+uqr/a6zZcsW1NbWYsyYMUhKSgr3JhP5xTF+/OIYXz84xtcfjvH1hWP8xBB3Y3yZwu7++++XAchDhw6VKysrvcufeuopGYA8bNiwKG4daXG5XPK1114rA5CHDx8uV1VVNbvOu+++KwOQs7Oz5f3793uX79ixQ7ZarXJaWppcWloayc2mIB0+fFgGIPfq1Uvzdu7T2LZ48WIZgDxkyBD5zJkz3uW7d++WMzIyZADyK6+84l3O/Rm7PvvsMxmADEB+9tlnFbft3LlTttvtMgD53Xff9S7n/oxNAGSr1er39lD2W2lpqZyWliYDkNevX+9dfurUKbl79+4yAPm9994L/4shagbH+PGHY/zEwDF+fOMYXz84xtcPPY3xWfiOgJqaGvnSSy+VAcgFBQXyjBkzvH9nZ2fLBw4ciPYmksrTTz/t/YK+9tpr5dmzZ2v+J/4Qy7Is//KXv5QByDabTZ4yZYp81VVXySaTSTYYDPK6deui9GrIn+YGxbLMfRrL3G63PH36dBmAnJWVJU+ePFkeNWqUbLFYZADybbfd5rMO92fs+u1vf+v93u3Tp488ffp0+YorrpANBoMMQJ43b57POtyf0bdlyxb50ksv9f4HQJYkSbFsy5YtinVC2W/r1q2TDQaDLEmSPGrUKHnatGneg9+77767NV4qkQ+O8eMPx/iJgWP8+MYxvr5wjB+f9DzGZ+E7Qqqrq+WFCxfK3bp1ky0Wi5yXlyfPnj1bPnr0aLQ3jTQ89NBD3i/npv47fPiwz7orVqyQBw8eLNtsNjk9PV2eMGGCvG3bttZ/EdSsQAbFssx9Gsvcbrf8j3/8Qx44cKBss9lku90uDx06VF69erXfdbg/Y9eGDRvk8ePHy9nZ2bLJZJIzMzPlK6+8Un7hhRf8rsP9GV0rVqxo9rdyxYoVmusFu9+2b98uT5w4Uc7IyJBtNps8ePBgefny5RF6ZUSB4Rg/vnCMnxg4xo9/HOPrC8f48UfPY3xJlmXZfxAKEREREREREREREVF84eSWRERERERERERERKQrLHwTERERERERERERka6w8E1EREREREREREREusLCNxERERERERERERHpCgvfRERERERERERERKQrLHwTERERERERERERka6w8E1EREREREREREREusLCNxERERERERERERHpCgvfRERERERERERERKQrLHwTERERERERERERka6w8E1EREREREREREREusLCNxERERERERERERHpCgvfRERERERERERERKQrLHwTERERERERERERka6w8E1EREREREREREREusLCNxERERERERERERHpCgvfRERERERERERERKQr/w+dc1/yUG2nHwAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# plot results\n", "plt.figure(figsize=(12, 4), dpi=150)\n", "plt.suptitle(\"Bi-level Optimization Example (Initial vs. Final)\")\n", "plt.subplot(1,2,1)\n", "plt.plot(x_init.detach().flatten(), label=\"initial x\")\n", "plt.plot(y_init.detach().flatten(), label=\"initial y\")\n", "plt.plot(y_target.detach().flatten(), '--', label=\"target y\")\n", "plt.legend()\n", "plt.subplot(1,2,2)\n", "plt.plot(x.detach().flatten(), label=\"final x\")\n", "plt.plot(y.detach().flatten(), label=\"final y\")\n", "plt.plot(y_target.detach().flatten(), '--', label=\"target y\")\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "ff52d905", "metadata": {}, "source": [ "Notice that the bi-level optimization problem does not remove noise from the input signal $x$. Removing noise is the responsibility of the total variation denoising in the lower level. What the bi-level problem does do is modify the input signal so that its denoised version $y$ matches the target.\n", "\n", "For this (toy) problem we could have removed the lower level problem and optimized $x$ directly to match $y^\\text{target}$ since we're able to update each component of $x$ independently. However, the ability to back propagate through total variation denoising allows us to update other (more restricted) data generating models. The distinction between updating $x$ to match $y^\\text{target}$ versus updating $x$ so that $y$ matches $y^\\text{target}$ may then become important." ] }, { "cell_type": "markdown", "id": "bb02d99c", "metadata": {}, "source": [ "## Acknowledgements\n", "\n", "This tutorial was adapted from a coursework project done by ANU student Yiran Mao." ] }, { "cell_type": "code", "execution_count": null, "id": "7e6f37f4", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "accelerator": "GPU", "colab": { "gpuType": "T4", "provenance": [ { "file_id": "https://github.com/yiran-frank-mao/COMP4680_ASE/blob/main/main.ipynb", "timestamp": 1700024928549 } ] }, "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.9.13" } }, "nbformat": 4, "nbformat_minor": 5 }