{ "cells": [ { "cell_type": "markdown", "id": "8295ecf9", "metadata": {}, "source": [ "# Robust linear regression: which observation model should we use?\n", "\n", "A straight line can be trained with several probability models. The model determines how a residual\n", "$r_i=y_i-\\hat y_i$ is penalized:\n", "\n", "- **Gaussian noise** $\\Rightarrow$ squared error (MSE),\n", "- **Laplace noise** $\\Rightarrow$ absolute error (MAE),\n", "- **Student-t noise** $\\Rightarrow$ a heavy-tailed robust loss.\n", "\n", "We will fit the **same data** with all three and watch two outliers change the answer." ] }, { "cell_type": "code", "execution_count": 1, "id": "8bc2c9b4", "metadata": { "execution": { "iopub.execute_input": "2026-08-12T14:14:26.631882Z", "iopub.status.busy": "2026-08-12T14:14:26.631734Z", "iopub.status.idle": "2026-08-12T14:14:27.786579Z", "shell.execute_reply": "2026-08-12T14:14:27.786220Z" }, "purpose": "Import PyTorch and configure reproducible retina figures" }, "outputs": [], "source": [ "import math\n", "import torch\n", "import torch.distributions as D\n", "import matplotlib.pyplot as plt\n", "\n", "%config InlineBackend.figure_format = 'retina'\n", "torch.set_default_dtype(torch.float64)\n", "_ = torch.manual_seed(7)" ] }, { "cell_type": "code", "execution_count": 2, "id": "9094f87c", "metadata": { "execution": { "iopub.execute_input": "2026-08-12T14:14:27.788017Z", "iopub.status.busy": "2026-08-12T14:14:27.787899Z", "iopub.status.idle": "2026-08-12T14:14:27.790120Z", "shell.execute_reply": "2026-08-12T14:14:27.789820Z" }, "purpose": "Define the course palette and plotting defaults" }, "outputs": [], "source": [ "INK = \"#17343b\"\n", "MUTED = \"#72858a\"\n", "ORANGE = \"#ef7d00\"\n", "BLUE = \"#2f6fbb\"\n", "TEAL = \"#238b8e\"\n", "GREEN = \"#20a647\"\n", "RED = \"#d9485f\"\n", "\n", "plt.rcParams.update({\n", " \"figure.dpi\": 150,\n", " \"savefig.dpi\": 240,\n", " \"axes.spines.top\": False,\n", " \"axes.spines.right\": False,\n", " \"axes.edgecolor\": INK,\n", " \"axes.labelcolor\": INK,\n", " \"text.color\": INK,\n", " \"xtick.color\": INK,\n", " \"ytick.color\": INK,\n", " \"font.size\": 11,\n", " \"legend.frameon\": False,\n", " \"lines.linewidth\": 2.3,\n", "})" ] }, { "cell_type": "markdown", "id": "0ad8f883", "metadata": {}, "source": [ "## 1. Make one simple regression dataset\n", "\n", "The underlying relationship is $y=1+2x$. Most observations have small Gaussian noise. We then replace\n", "two measurements by obvious recording errors." ] }, { "cell_type": "code", "execution_count": 3, "id": "ad69639d", "metadata": { "execution": { "iopub.execute_input": "2026-08-12T14:14:27.791051Z", "iopub.status.busy": "2026-08-12T14:14:27.790984Z", "iopub.status.idle": "2026-08-12T14:14:27.809907Z", "shell.execute_reply": "2026-08-12T14:14:27.809450Z" }, "purpose": "Generate clean observations from the known straight line" }, "outputs": [], "source": [ "x = torch.linspace(-2.0, 2.0, 25)\n", "true_intercept = torch.tensor(1.0)\n", "true_slope = torch.tensor(2.0)\n", "noise_scale = torch.tensor(0.35)\n", "\n", "y_mean = true_intercept + true_slope * x\n", "y_clean = y_mean + D.Normal(0.0, noise_scale).sample((x.numel(),))" ] }, { "cell_type": "code", "execution_count": 4, "id": "98277718", "metadata": { "execution": { "iopub.execute_input": "2026-08-12T14:14:27.810841Z", "iopub.status.busy": "2026-08-12T14:14:27.810784Z", "iopub.status.idle": "2026-08-12T14:14:27.818005Z", "shell.execute_reply": "2026-08-12T14:14:27.817635Z" }, "purpose": "Insert two visible outliers" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "true parameters: intercept = 1, slope = 2\n", "outlier indices: [4, 20]\n" ] } ], "source": [ "outlier_index = torch.tensor([4, 20])\n", "y = y_clean.clone()\n", "y[outlier_index] += torch.tensor([5.0, -5.0])\n", "\n", "print(\"true parameters: intercept = 1, slope = 2\")\n", "print(\"outlier indices:\", outlier_index.tolist())" ] }, { "cell_type": "code", "execution_count": 5, "id": "07b46a03", "metadata": { "execution": { "iopub.execute_input": "2026-08-12T14:14:27.819160Z", "iopub.status.busy": "2026-08-12T14:14:27.819075Z", "iopub.status.idle": "2026-08-12T14:14:28.095555Z", "shell.execute_reply": "2026-08-12T14:14:28.095093Z" }, "purpose": "Plot the data and mark the outliers" }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 610, "width": 1210 } }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(8.2, 4.2))\n", "ax.scatter(x, y, s=34, color=INK, label=\"observed data\", zorder=3)\n", "ax.scatter(x[outlier_index], y[outlier_index], s=90, facecolor=\"none\",\n", " edgecolor=RED, linewidth=2, label=\"two outliers\", zorder=4)\n", "ax.plot(x, y_mean, color=MUTED, linestyle=\"--\", label=r\"true line $1+2x$\")\n", "ax.set(xlabel=\"input x\", ylabel=\"target y\", title=\"The same line, plus two unusual measurements\")\n", "ax.grid(alpha=0.25)\n", "ax.legend(ncols=3, loc=\"upper center\")\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "8a4c7e5c", "metadata": {}, "source": [ "## 2. Ask what residuals each model considers plausible\n", "\n", "A residual is $r=y-\\hat y$. Every model puts its highest density near $r=0$, but their tails differ.\n", "A heavy-tailed model leaves appreciable density far from zero, so an unusual measurement is possible\n", "without forcing the fitted line to chase it." ] }, { "cell_type": "code", "execution_count": 6, "id": "804506a1", "metadata": { "execution": { "iopub.execute_input": "2026-08-12T14:14:28.096715Z", "iopub.status.busy": "2026-08-12T14:14:28.096643Z", "iopub.status.idle": "2026-08-12T14:14:28.099448Z", "shell.execute_reply": "2026-08-12T14:14:28.099077Z" }, "purpose": "Create the three zero-centred residual distributions" }, "outputs": [], "source": [ "residual = torch.linspace(-6.0, 6.0, 1201)\n", "zero = torch.tensor(0.0)\n", "\n", "residual_models = {\n", " \"Gaussian → MSE\": (D.Normal(zero, 1.0), BLUE),\n", " \"Laplace → MAE\": (D.Laplace(zero, 1.0), ORANGE),\n", " \"Student-t (df=3)\": (D.StudentT(3.0, zero, 1.0), TEAL),\n", "}" ] }, { "cell_type": "code", "execution_count": 7, "id": "f9ab81fb", "metadata": { "execution": { "iopub.execute_input": "2026-08-12T14:14:28.100499Z", "iopub.status.busy": "2026-08-12T14:14:28.100431Z", "iopub.status.idle": "2026-08-12T14:14:28.260827Z", "shell.execute_reply": "2026-08-12T14:14:28.260274Z" }, "purpose": "Plot the probability density of the same residual under each model" }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "image/png": { "height": 610, "width": 1209 } }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(8.2, 4.2))\n", "for name, (distribution, color) in residual_models.items():\n", " ax.plot(residual, distribution.log_prob(residual).exp(), color=color, label=name)\n", "\n", "ax.set(xlabel=r\"residual $r=y-\\hat y$\", ylabel=r\"density $p(r)$\",\n", " title=\"Heavy tails retain more density far from zero\")\n", "ax.axvspan(-1, 1, color=MUTED, alpha=0.08, label=\"small residuals\")\n", "ax.grid(alpha=0.25)\n", "ax.legend()\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 8, "id": "15e800bd", "metadata": { "execution": { "iopub.execute_input": "2026-08-12T14:14:28.262037Z", "iopub.status.busy": "2026-08-12T14:14:28.261933Z", "iopub.status.idle": "2026-08-12T14:14:28.264753Z", "shell.execute_reply": "2026-08-12T14:14:28.264181Z" }, "purpose": "Compare how much tail density the three models assign to one large residual" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Gaussian → MSE : p(r=4) = 0.000134\n", "Laplace → MAE : p(r=4) = 0.009158\n", "Student-t (df=3) : p(r=4) = 0.009163\n" ] } ], "source": [ "far_residual = torch.tensor(4.0)\n", "for name, (distribution, _) in residual_models.items():\n", " density = distribution.log_prob(far_residual).exp()\n", " print(f\"{name:18s}: p(r=4) = {density:.6f}\")" ] }, { "cell_type": "markdown", "id": "27cff541", "metadata": {}, "source": [ "At $r=4$, Laplace and Student-t assign roughly **68 times** the density assigned by a standard Gaussian.\n", "This does not make the point *good*; it makes the point less astonishing under the assumed noise process.\n", "\n", "## 3. Convert density into a training loss\n", "\n", "Maximum likelihood minimizes $-\\log p(r)$. Therefore **more tail density means a smaller penalty** for a\n", "large residual. Fix the scale at $s=1$ below and subtract the loss at $r=0$, so only the shape remains." ] }, { "cell_type": "code", "execution_count": 9, "id": "92aae4eb", "metadata": { "execution": { "iopub.execute_input": "2026-08-12T14:14:28.265773Z", "iopub.status.busy": "2026-08-12T14:14:28.265694Z", "iopub.status.idle": "2026-08-12T14:14:28.378342Z", "shell.execute_reply": "2026-08-12T14:14:28.377932Z" }, "purpose": "Plot Gaussian, Laplace, and Student-t residual losses" }, "outputs": [ { "data": { "image/png": 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k7/eATLaEUKUJRG8x18atpQuommQ0CHrMxg0bHPc1ftO5XZtS54cOHw76tQGEhzmplhJHvKqUW1fI2uL0oMdz50xRwZtdVPT9NfLm7QxJjgCAyJYQb9F1Q41159q2v1g/zOXnAwAAAAAAQGX4ce7OwPqMEf71nsR4a9hzAgBUPm/+LhX9cJ3y3+go96aJQY9nzRqulFuXK/GMN2ROrh2SHIEqUcy178CBUuf2+Pigx0ywlx5j7x9e4zc1qqWXOj+clx/0awMIL0ut1kq+/GclXTlB5jonBTeYzyfnkg+U91JzOaY8Kp+zMFRpAgAi1Hm9G6puurHvm2+P26RipyfsOQEAAAAAAOB/HE6P3hqfY2hK6lWz6/yTGzJ9AFDF+ZxFckz9T+C6rnPxe4HrvMEw126rpCvGKnnkGFlqtw1ZnkCVKeYqdpSUOt974GDQY/5xjGKH45hxCXZ7qfP4eGPb7gCofLZmQ5Ry82IlnPWuTMl1ghvMVSTHlEeU91ILOZd8JJ+XbbUAoKqKs5p10/CmhmL35Tn15XS24QYAAAAAAKhIX83crn2HS18//DM3Dm8aWO8BAFRN/uu2zmWfKu/llnJM/rsUZHMOU1JtJZz5llJuXipb81NClidQHhH9DaZWjeqlzmcvWhL0mH8co1aNGseMy/1DJ6605OSgXxtAxTGZLYrvcq1S71yv+P4PS9bSBZonype/U0XfX6WCt7rJlTM1ZHkCACLLiG711KR2oqHY9ydtVl6RK+w5AQAAAAAAQMovduv9iZsNTYV/fWdE17pMGwBUUe7NM1Twdg8VfXuFfHnbgxvMGq/4vg/+el256w0yWdieF5Uvoou5mjRsUOr8o2+/ly+Ilnj+53783Q/HfY3fbN+1u9R5s8xG5X5dAJXHFJ+ihMH/Vuqd62TrcEXQ43l2LVbhBwNV8PnZ8uxfF5IcAQCRw2ox69bTmxleQPxw8paw5wQAAAAAAADpkylbdNjgjXX+9R3/Og8AoGrxHNigwi/PU8H7/eTZuTDo8WwnXarUO9YqYejjMtlTQ5IjEAoR/S1m+IB+pc4Xr1ytVz/+rNzjvfLhp4ExSr1G/77HjF26ek2p83YtW5T7dQFUPnNahpLO+1jJNy6QJfPY/9+fCHf2j8p/ta2KRt8lb1HwW8ACACLH4JNqq02GsV/aPp++1XBrfwAAAAAAAJTPwXynPpm61VBsm4yUwPoOAKDq8BYfUvGYe5T/ahu5Vn8X9HiWjN5Kvn6uks7/TOb0zJDkCMRMMdeZQwYpOan0NjePvfpm4ChxOg2P44/1P+fx198q9bh/7DOHDjrmcybOmlPqfFDvnieUO4DIZG3QVcnXTFPixd/KXN1Y55U/5XXLOfcl5b/YTI7ZL8jnNv65BACIXCaTSXeMMPYzwuH06p0JOWHPCQAAAAAAIJa9NzFHxU6PodjbTs8KrO8AAKKfz+NSydyXlf9ilkrmvCB5jHVo/DPmak2UeNE3Sr5upqwZPUKWJxBTxVy1qlfTAzffcNTjr3z0qfpecJle+fATbdi89ZhbL/of8/+ZPyYQ+9GnR8U8eMuNqlmt2lGPH8jN1fR5C36XR3X16tQhJP9NACqf/5e4uDbnKuW21bIPf14me3pQ4/kcuXKM9VeCt5VzdXDbwQIAIkPPljXUo0V1Q7Hfzd6h7fuLwp4TAAAAAABALNp1yKGvZ243FNs1q5p6tTS2pgMAiFz+662uNf6dktqpePSd8hUHuVOSPU32Yc8o5fY1imt7PkW/iHhWRbhrLjhXi1as1PfjJpZ6fOvOXXrstbcCR1JighrUqaOU5CSZZFJeQYF27t2rgsI/v6h2zilDdPX55xzzz97+/Cu53O4j5zdccoEsFksI/6sARAKTNU723ncrruNIOab+W875rwW6bZWX9+AGFX15bmAbx4Thzwe6gAEAotdtpzfTvHVl/4Lo9vr0+phNevyKdhWSFwAAAAAAQCx5a+wmuTzGbqK+/fRmXKAHgCjn3rlYjrH3yr15avCDmS2K63az7AP+KXNSzVCkB1SIiC/mMpvNevXRvyvBbtfnP/58zJjComKty9lseMxLzxqhZx/6a2DsY6lVo4buv+m6I+dXnX9uOTIHEC3MiTWUeNqLiu9+i4rH/1Xu7B+DGs+zZYYK3uomW4crlDDkMZnTMkKWKwCg4rTPTNOgk2pp8vJ9ZcaOWbxbVw9urOb1kyskNwAAAAAAgFiweU+hRs3faSi2f9ua6tAkuJ04AACVx5u3Q8UT/ybXso/9rbmCHs/aYoQSTnlGllqtQpIfUJEivpjLz98V6/mHH9Apffvogaef0669ZV9QO5Z6tWvpyb/eq1P69zlu3HUXnV/OTAFEM0vNFkq+9Ae5Nk0JbJvo2b00qPFcyz6Ra/V/Fd/7L7L3+atM8VzgB4Boc+tpzTR1xT55y/i90f975au/bNBL13esqNQAAAAAAACqvNfGbCxzXcbPZJJuPb1ZRaQEAAgxn7NQjpnPqGTWM5Lrz3dfM8pc5yQlDH9OtmZDQpIfUBmO3ZoqQvmLsOb98LXefOwR9eveVfFxcWU+xx/Tt1sXvfGffwaeW1YhFwDYmg5U8k0LlXDOBzKl1A9uQlzFKpn2b+W91Fwli96Tz+thggEgijSrm6wR3eoZip22ar+WbMoNe04AAAAAAACxYM22PE1YutdQ7PDOddWifkrYcwIAhI7P61XJkg+V91ILlUx9NOhCLlNyXSWc/Z5Sbl5MIReiXlR05vq9OJtNZw8bEjicLpdWrdug9Zs3K/dwvg4X5Adi0pJTlJaaohZNGqtti6zAcwDgRJjMFsV3ukpxbS9Qyaxn5Zj5dFBfIHwFu1X843UqmfsyleAAEGVuGt5UYxbtlstT9m2gr/y8Qe/d3kUm/+2gAAAAAAAAKLdXf9loKM5qNunm4U2ZaQCIIoGdksbdK8+uJcEPZktgpyRUOVFXzPV7/iKtTm1bBw4ACAdTXJLsA/+puC7XyTHpYTmXfhTUHs3ePctV+NFQWVuc/v97NPP5BQCRrn71BF1wckN9Pn1bmbGLN+Vq1poD6tOmZoXkBgAAAAAAUBUt3HBIs7IPGIo9u2d9NaqVGPacAADB8+xfq+Lxf5U7e1RIptPWcaQSBj8mc1rDkIwHRIqo2mYRACqLObWBEs/5QMk3LZK1ycCgx3Ov+0X5r7VX0c+3yVu4LyQ5AgDC57qhTZQYbzEU+8ovG+T1lr/wFwAAAAAAIJb5fD69OGq9odh4m1nXD2sS9pwAAMHxFh1Q0eg7lf9qu5AUclky+yn5xgVKOvcjCrlQJVHMBQAnwFqvk5KumqSkS3+UuUaL4ObO65Fz/mvKezFLjpnPyOcu4b0AgAhVPSVOlw9oZCh27Y4CjV+6J+w5AQAAAAAAVEWTl+/Tyq15hmIv7puhOun2sOcEACgf//VPx6znlf9ilpxzX5a87qCm0lw9S4mXfK/ka6bK2qArbwuqLIq5AOAEmUwm2VqdqZTbVirhtJdlSqge3ByW5Mkx/q/Kf6W1nCu/Cdx1BACIPCMHZio9yWYo9rXRG+XyeMOeEwAAAAAAQFXi9ngDXc+NSLZbdPXgzLDnBAA4cf7rnc5V3yr/1bZyjLtXPkduUNNoSqgm+/AXlHLbKsW1PjtwvRaoyqyKYiVOp5avWat1OZuVm5+vw3n5gQ+F9LRUpaekqGXTJmrfqoXi4+IqO1UAVZDJYlN8z9tl63C5Sqb9RyXzXpE8rnKP5z2Uo6KvL5Qlo7cShj8va0aPkOYLAAhOst2qa4c01nM/lt3mf9v+Yv04d6fOP7kh0w4AAAAAAGDQj/N3afPeohO48Y5rgAAQadw7Fqh4zD3ybJ0Z/GBmq+K63yr7gH/InBhkgw0gikRdMZfb7dboqdP14X+/18LlK+V0Hb9wwl/I1e2k9rr6gnM1vH8fWSyWCssVQGwwJ1RTwvDnFNftZjkm3C/X6u+CGs+zbbYK3ukpW/tLlDD0CZnTubMIACLFhX0a6tNpW7Unt+ytcd8an6PTu9VTQhzfPwEAAAAAAMpS7PTozTEbDU1UjZQ4XT6gEZMKABHEe3ibiic+JNeyT0Mynq312bIPfUqWmi1CMh4QTaJqm8XZi5ao13mX6IYH/xH497IKuX7r3jVz4SJde//f1OeCy7Rg2YoKyRVA7LHUyFLSxd8q+ZrpstQPfo9m14ovlPdySxVPeEg+R15IcgQABCfeZtFNw5sait13uERfTt/GlAMAAAAAABjwxfRt2pfnNDRXN5zSRInxUdezAgCqJF9Jvoon/V15L7UISSGXpV4nJV09RUmXfE8hF2JW1BRzPf/uhzr/lju1beeuco+Rs227zr7xNr368WchzQ0Afs/auK+Sb5inxPM+kSk1yO213CUqmfGE8l5qrpIFb8nncTPZAFDJzuhWT41rJxqKfX/SZh0uLP8WvAAAAAAAALHAv37y/sTNhmIzaibo3F4Nwp4TAOD4fF6PSha9++t1zGn/kdyOoKbMlFJfied8qOQbF8rWZADTj5gWFcVcb33+lZ5+6115vd5j/rnZbFbtGjWUldkocPj/3f/YsXg8Hv3nlTf0wTfBbYMGAMdjMpsV1+Fypd6xVvbB/5HikoKaMF/hXhX/dJPy3+go1/pxTD4AVCKrxaxbT2tmKDa/2K33DC5EAgAAAAAAxCr/+kmBw9jNzLed1kw2S1Rc4gSAKsu1YYLy3+ik4h+vl69gT3CD2RJlH/ioUu9cp7hOVwauswKxLuL7j85ftlyPvPjqUY8nJiTonGFDdM4pQ9SxTWslJ5XujlBQWKSla7L1w7gJ+m7cRBUVF5f68789+6I6tGmlzm3bhP2/AUDsMsUlyt7/b4rrfK0ck/8u5+L3/WXq5R7Pu3eVCj8ZLmvWKUo45VlZ6rQLab4AAGOGdKitNhkpWr0tv8zYL2ds0yX9MlSvmp3pBQAAAAAA+INdhxyB9RMj/OsxQzvWYQ4BoJJ49q5W8bj75F4/OvjBTCbFdbpa9kH/ljm1fijSA6qMiC9p/PfLb8jn85V6bGCvHpr5zWd67uH71adbl6MKufz8j/Xp2lnP/u3+QKz/Ob/n7/L1r5deC3v+AOBnTqmrxLPeUcrNS2RtOiToSXFvGKf81zuoaNRN8gZb7Q4AOGEmk0m3j8gyFOt0e/X66I3MMgAAAAAAwDG8OWZjYP3EiDtGZMlsNjGPAFDBvIX7VPTzrcp//aSQFHJZmwxS8k2LlXj2exRyAdFWzOXvyrVg+YpSj501dLA+feFp1a9T2/A4/lj/c84cMqjU43OXLNOiFStDli8AlMVS9yQlXTleSZf/InPNVsFNmM8r58K3AvtQO6Y/KZ8ruH2oAQAnpmeL6urRorqh2J8X7tL6nQVMMQAAAAAAwO9s2FWgnxbsMrYW07K6eraswfwBQAXyX390zHhaeS9myTn/dcnrCWo8c40WSrp0lJKumihrvY4hyxOoaiK6mGvSrDmlzhvUraPn//6ALBbLCY/lf84L/3hQDf5QBDZxZunXAICK6OZia3GaUm5droQRr8mUWDO4AUvy5Zj4oPJeaSXn8i+O6mYIAAjf5/mdZxjrzuX/aH755w28FQAAAAAAAL/z6i8b5DW4pH2nwS7pAIDg+a83Old+rfxXWssx4X6pJC+o8UwJ1ZVw2stKuW2lbK3OCKyvA4jSYq7Zi5aWOr/+4guUlJBQ7vH8z73u4gtKPTZr0eJyjwcAwTBZbIrvfotS79qg+D5/lSxxQY3ny92iov9eqoJ3esm9dTZvDgBUgDYZqRreqY6h2Bmr92vhhkNhzwkAAAAAACAaLNmUq6kr9xuK9a+/tM5IDXtOAADJvW2uCt49WUVfXyRv7ubgpsR/PbT3vUrxXw/teXvg+iiAKC/m2rVvX6nzwSf3CnrMQb17/uE1jH1JBIBwMdnTlDDsKaXckS1buwuDHs+zfV7gC1bhVxfKc3BTSHIEAPy5W09vJqvF2F1EL45aTwdFAAAAAAAQ8/wdX176ab2hebCaTbrltGYxP2cAEG6eQ5tV+M0lgcYRnm3B73Bma3u+Um5fo4Thz8qcUC0kOQKxIqKLuQ4cyi11Xv8PWySWR8O6pTsn7D9IdwQAkcFSrYmSLvxKydfNkqVhj6DHc636JtD6tHjcX+UtLv15CgAInYyaibqgd0NDsSu35mnS8r1MPwAAAAAAiGnTVu3X0pzDhmLP691AjWolhj0nAIhVPkeeiic8qPxXWsm14sugx7M06Kbka2co6aJvZKlOMS5Q5Yq5juLzhXwI9mIFEGmsjXor+fo5SrzgC5nSM4MbzONUyaxnlP9Sc5XMe00+jytUaQIAfuf6YU2UGG8xNCcv/7xRLo+X+QMAAAAAADHJ4/Xp5Z83GIpNiLPohlOahD0nAIhFPo9bJQveVN5LWSqZ8aTkLglqPFNahhLP+1TJ18+VNbNPyPIEYlFEF3PVqJZe6nzHnuC7GOzYs6fUec0/vAYARAJ/oWlc+4uVenu27EOflOJTghrPV7Rfxb/cpvzXTpJr7S9s8QUAIVY9JU5XDTJWgLt1X5F+mLuT9wAAAAAAAMSknxbs0qbdhYZirxjYSDVS4sOeEwDEGtf6scp/vYOKf7pZvsJ9wQ0Wlyz74MeUesdaxXW4TCZzRJehAFEhov8vql+7VqnzSbOC35d18uy5pc7r/eE1ACCSmGx22fver9Q7Nyiu202SKbiPbe/+bBV+NkKFHw2VZ/eykOUJAJAuH+BfXIwzNBVvjt2kohI30wYAAAAAAGKKw+nRG2M2GoqtlmzTyIFB7l4BACjFs2eFCj46RYWfnCrvvtXBzY7JrLiuNyj1zvWy939IJlsCsw3EQjHXyV06lzp/96v/qrC4uNzj+Z/rH6PUa3TtUu7xAKCimJNrK/GMN5Ry63JZs4YHPZ570yTlv9FJRT9cJ2/+rpDkCACxLjHeqhtPaWoo9kC+U59O3Rr2nAAAAAAAACLJVzO3a0+usW28rh/aRMl2a9hzAoBY4C3Yo6JRNyr/9Y5ybxwf9HjWZkOVcstSJZ75lswpdUOSI4AoKeYafHKvUuc7du/RXx57Sl6v94TH8ng8gef6x/i9ISf3DDpPAKgoltptlTxyjJKuGCtz7bbBDebzybn4PeW91FyOqf+Rz1kUqjQBIGad06u+GtVKNBT74eQtOljgDHtOAAAAAAAAkSCvyKX3JuYYim1QI0Hnn9ww7DkBQFXncxXLMf0J5b2YJefCtyXfidda/J65VmslXT5aSSPHyVKnfcjyBBBFxVxdT2qn7h1KfwB8P26iRt77gHbv2294nF179+nKvzwYeO7v9ercUZ3bBVkMAQCVwNb8FKXcvFQJZ74lU1Lt4AZzFsox+e/Ke7mlnEs/ka8cBbMAgP//fLaYdfvpzQxNR1GJR++MN7aACQAAAAAAEO0+nLRFeUVuQ7G3nNpUcdaIvowJABHNf73Pufxz5b3cSo6JD0nOgqDGMyXVUsKI15Vyy3LZWpwqk8kUslwBHC3ivwX9445bZTaXTnPizNk6+fxLAp22ZsxfqPyCwqOe53/M/2f+mD4XXBp4zu9ZLBb9887bwp4/AISLyWJV/P/vQx3f7yHJGh/UeL687Sr6bqQK3u4u9+bpIcsTAGLNkA611a5RqqHYb2Zt1/b9dEYEAAAAAABV255chz6bvtVQbIv6yTq1M1t2AUB5ubfMUsE7vVT038vkO2zss/dPWeIU3+f+X69Hdr85cH0SQPhF/P9p/u5c/7rnDj387IulHi8sKtanP/wUOPxVn9XT05SanBz4s7yCAh3MPSyfz/en4z7x17vVsU2rsOcPAOFmsqcqYchjgcKu4okPybX886DG8+xcpIL3+8vW+hzZhz0tS42skOUKALHA/930rjOb67pXF5UZ6/b49OrojXpyJO2oAQAAAABA1fXa6I0qcRnbFeLOM7JkNtPxBQBOlOfgJjkm3C/Xqv+GZPJs7S6SfegTslRrwpsBVLCI78zld91F5+uhW24MdNM6Fn/R1oFDucrZtj1w+P/9zwq5rBaLHrnrNo089+wwZw0AFcucnqmk8z9T8g3zZGl0ctDjudZ8r/xX26h4zD3yFh8KSY4AECu6ZlVTnzY1DMWOXbxHq7flhT0nAAAAAACAyrBuZ75+WrDLUGy35tXUu5WxNRUAwK+8xbkqHnef8l9pHZJCLkvDnkq+braSLvySQi6gkkRFMZffHVdfoe/efFlNMhqWe4zmjTM16t3XddNlF4c0NwCIJNaG3ZV87QwlXvSNzMFWyntcKpnzgvJfzFLJnJfkcztDlSYAVHl3jmguk8GbSF/6aUO40wEAAAAAAKgUL47aoONsplPKHSOyAl3PAQBl8/mv4817VfkvZalk1rOSJ7jreOb0xkq84EslXz9b1ka9eAuAShQ1xVx+PTp20Kz/fq4PnnlcA3t2V4LdXuZz/DEDe/XQx889qWlffaLO7dpWSK4AUJn8v+zGtT1fKbevkX3YM5I9LajxfMUHVTzmLuW/1k6uNT8edxtbAMCvmtdP1oiu9QxNx7x1BzVn7QGmDgAAAAAAVCn+9Y7Z2cbWPIZ0qK32mcGtZQNALPBfp3Ot/Vn5r7VX8S+3y1cU5NpyfIrsQ58KXFeMa38RRbVABLAqypjNZp06oF/gcLvdWrlug9Zv3qzcw3nKzc8PfLCkp6QoLTVFLZo0VtvmWbJao+4/EwBCwmSNl73PXxTX6So5pj4q54I3JK+n3ON5D6xX4Rdny9p4gOzDn5O1fmfeKQA4jltOa6ZxS/bI6fYa6s7Vo3l1mc3cfQoAAAAAAKKf1+vTi6PWG4q1mk2BrlwAgOPz7F6m4rH3yr1pUvBTZTIrruuNsg98RObk2kw9EEGiusrJX6TVsU2rwAEA+HPmpJpKPP0VxXe/NbBntnvdz0FNl3vzVBW81VW2DiOVMOQxmVMbMP0AcAz1qtl1cd8MfTxlS5nzk709X2MW79bpBrt5AQAAAAAARLLRi3Zr7Y4CQ7EXnNxQjWolhj0nAIhW3vxdckx6WM4lH/hbcwU9nrX5qUo45RlZarOzGRCJomqbRQBAcCy1Win58p+UdOVEmet2CG4wfwvXpR8p76UWKp78iHzOQt4eADiGa4c0VkqCsXsoXv1lo0pc5e+gCAAAAAAAEAkcTo9e/WWDodhku0XXn9Ik7DkBQDTyOYvkmPpv5b3UXM7F7wddyGWu3U5JI8cp+YrRFHIBEYxiLgCIQbZmg5Vy0yIlnP2eTMl1gxvMVaSSqY8GvkSWLP5AviC2cQSAqigtyaZrhjQ2FLvrkEOfT98W9pwAAAAAAADC6YsZ27Q7t8RQ7NWDG6t6chxvCAD8js/rlXPpx8p7uYUck/8hBdlUwZRcRwlnvq2UW5bKljWMuQYiHMVcABCjTGaL4jtfo9Q71yt+wD8kW0JQ4/nyd6n4h2tU8GZXuTZNDlmeAFAVXNI3Q7XT4g3FvjchR4cKnGHPCQAAAAAAIBxyC516b8JmQ7F10uN1Wf9GvBEA8DvunGkqeKubir67Ur68HcHNjdWu+H5/+/V6YNfrA9cHAUQ+irkAIMaZ4pOVMOhRpd6xTraOI4Mez7N7qQo/HKyCz8+SZ//akOQIANHOHmfRLac2NRRb4PDo7fE5Yc8JAAAAAAAgHN4Zn6MCh9tQ7C2nNgusmwAAJM+B9Sr84hwVfDBAnl2Lg54S20mXKfWOtUoY8h+Z4lOYYiCKUMwFAPj1B0JaQyWd+5GSb1wgS2a/oGfFnT1K+a+2U9Evd8hbdIBZBhDzzuheX83rJRuah29mbteWfUUxP2cAAAAAACC6bNtfpK9mbjcU26J+skZ0qxf2nAAg0nmLDqp4zN3Kf6WNXGt+CHo8S6M+Sr5xvpLO/1TmdLofAtHIWlkv/NG3wX8IhcqV551d2SkAQMSwNuiq5GumypX9oxzj7pP34IbyD+Z1yznvFbmWfaL4/n9XfI9bZbIa22YMAKoai9mku89srlveWlJmrNvr0ys/b9CzV59UIbkBAAAAAACEwqu/bJTb4zMUe9cZzQPrJQAQq3xup5wL3pBj6qPyFR8KejxztaayD3tatjbnymTi8xWIZpVWzHX/k88qUlDMBQCl+b/gxbU+W7bmp6lk/usqmfavoL5E+hy5coy7V84Fr8s+9Cm+RAKIWb1b11DPltU1d+3BMmMnLturpTm56tgkvUJyAwAAAAAACMaKLYc1bskeQ7H+9RH/OgkAxCKfzxeapgq/safJHmiqcBtNFYAqgm0WAQB/ymSNk733XUq5c4Pie90lmYOrAfYe3Kiir85XwXv95N6xgJkHEJP83bmM3hT1/I/rA7/YAwAAAAAARDL/+sWLo9YbivWvi/i7cgFALHLvXKyCDwaq6Itzgi/kMlsU1+N2pd65QfaT76WQC6hCKOYCAJT9wyKxuhJOfUEpt62SrXXwW9N6ts5UwVvdVfjtFfIe3sY7ACCmtGyQojO61TMUu3zz4UCHLgAAAAAAgEg2fdV+LdqYayj29K711KphSthzAoBI4j28XYXfXamCt7rKs3la0ONZW56hlFtXKvH0l2VOqhmSHAFEjkrbZrFvty6V9dIAgHKy1GyhpEu+lztnmorH3iPPrsVBzaVr2adyrfqv4nvfK3vf+2WK5xd4ALHh1tOaafySPXK4vGXGvvzzBg1oV0s2K/dhAAAAAACAyOP2eA135YqzmgPrIgAQK3wlBXLMekYls56RXMVBj2ep21H24c/J1nRQSPIDEJkqrZjrm9dfqqyXBgAEydqkv5JvXCDX8k9VPPEh+fJ2lH8wt0Ml0x+Tc/G7sg/6t+I6XyOT2cJ7BKBKq5Nu1+UDGundCZvLjN22v1hfz9quy/o3qpDcAAAAAAAATsQP83YqZ2+RodjL+meoXjU7EwygyvN5PXIu/UiOSQ/Ll78r6PFMKfVkH/yY4jqO5DoaEAO4vR8AUC4msznwhTH1jrWyD3xUsiUGNZO+gj0qHnWD8t/oJNeGCbwrAKq8qwY3VrVkm6HYt8flKK/IFfacAAAAAAAATkRRiVtvjNlkKDY9yaarBzdmggFUea6Nk5T/ZhcV/3Bt8IVctgTFD/inUu9Yp/jOV1PIBcQIirkAhNSYteu0/fBhZjWGmOKSZB/4D6XeuT7QVUsmU1DjefesUOHHw1Twyeny7F0dsjwBINIk2626aXhTQ7GHi1x6f2LZXbwAAAAAAAAq0sdTtupAvtNQ7PXDmig10diNbQAQjTz716rgszNV+NEQeXcvC3o8W8crA9ffEgY9IlN8ckhyRHTYU1ioseuMbWGMqqnStlkEUPUcdjh0z+ixcnk8al+rloY1baxBjTOVnp5e2amhAphT6yvx7PcU1+N2OcbeK3fO5KDGc68frfyN4xTX9UbZBz4ic1KtkOUKAJHi3F4N9MX0bdpsYCuCz6dv04V9Gqp+9YQKyQ0AAAAAAOB49ueV6KPJWwxNUsMaCbrw5IZMKIAqyVu4X46pj8q54E3J6w56PEvj/koY/pys9buEJD9Eh4NFxfoue60mbNqsZXv3ymIyqVfjTNVIDG53JEQnirkAhMy49RsChVx+K/btCxwvzF+oXhkZOrNNKw1rnqWU+HhmvIqz1uuopKsmyr32ZxWPv0/e/WvLP5h/P/H5r8u57FPZ+/1N8T3vkMlmD2W6AFCpbBaz7jwjS3e/t7zMWKfbq1d/2ajHr2hXIbkBAAAAAAAcj397xWLnr9cEynL7iCzZrGwYBKBq8blLVDLvVTmm/VtyBL9zkblGcyUMe0bWVmfKFOROOIgO+SUlGr9+g37OXqvZW7bK4/Md+TP/v/u7c13WsUOl5ojKQTEXgJD5eU32UY95fT7N2ro1cPx9wiQNbNpEZ7RuFfhnvJWPoKrK/wXT1uoMWZsPl3PhW3JMeUS+ogPlH7AkT44J98u54A3Zhz4pW7sL+RILoMoY0K6WOjdN1+JNuWXGjl60W5cPaKQ2GakVkhsAAAAAAMCxrN9ZoO/n7jA0Oe0apWpYx9pMJIAqw+fzybX6WznG3y/voU1Bj2dKqCb7gH8qrtvNMlnjQpIjIlexy6Upm3ICBVxTN+XI+f/NUo7FH0MxV2yikgJASOwtKNCcrduOG+P/QeTv3uU/kuPiAp26/IVdvRplyGrmjpyqyGSxKb7HbbKddLlKpj+mkrkvSR5Xucfz5m5W0TcXyzL3JSUMf17WjJ4hzRcAKqsA9u6zmuuKFxYYin/+x/V659bOFLUCAAAAAIBK8/yP6+T9X/OQ4/Kve9BhBkBV4d4+X8Vj75Fn66zgB/NfR+t+m+L7PyxzYvVQpIcI5d/dyt95a1R2tiau36hCl7HrpQu279DOvHzVT00Je46ILBRzAQiJ0WvXyeDvbQEFTqe+W7U6cPj3+T2tZQud0aqlOtWvxy91VZA5IV0JpzyjuG43yTHhAblW/Teo8Tzb5qjgnV6ytb9Y9iFPyFKtcchyBYDK0D4zTcM71dHYJXvKjF244ZBmrN6vfm1rVUhuAAAAAAAAvzdrzX7NWXvQ0KQMaFdTXZpVYwIBRD1v7lYVT3xQruWfh2Q8W+tzZB/2lCw1modkPEQe/w5WS3bu1Kg1awPX0g8VF5drnNFr1+q6bl1Dnh8iG8VcAELipzVry/3cA0VF+mTJ0sDRMDVVI1q31BmtWqllrZq8O1WMpXozJV30jdxbZv5618IOY11o/oxrxZdyrfle8T3vkr3fgzLZ00KWKwBUtNtHZGnS8r1yecouj35x1Ab1blVDVgudLQEAAAAAQMVxe7x67sf1hmItZpPuGEGRAoDo5ivJl2PGkyqZ/bzkdgQ9nqV+l193n2ncLyT5IfKs3bdfo9ZkB7ZI3JGXF/R4/nEo5oo9FHMBCNqW3Fwt2707JDO5PS9Pb85bEDha1KyhEa1aBTp2ZaRTpFOVWDP7KPn6uXKt+CJwF4Pv8PG36Dwud4lKZj4l55L3ZR/0L8V1vk4mCz/eAESfBjUSdEm/DH08ZWuZsZv2FOqHuTt1/skNKyQ3AAAAAAAAP/96xKbdhYYm49xeDdS0bhITByAq+TzuwLUnx6S/y1e4N+jxTKkNlDDkCdlOukwmMzfpVjXbDx/WT9lr9dOabK3bfyCkY6/cs1ebDx1S42p0uowlXO0GELSfg+jKdTz+H3TPz5wVODrWq6czW7cMbMdYM4lf/qoC/xfVuA6XydbmXJXMfkGOGU9IzoJyj+cr3Kfin25WydxXlHDKs7K1ODWk+QJARbhuaBP9MG+n8orcZca+PmaTTu1SV0l2vtIDAAAAAIDwK3C49dqYjYZik+0W3Ty8adhzAoBwcG0Yr+Kx98q7d2Xwg8Ulyd7nfsX3vlemuMRQpIcIcaCwSKPXrQsUcC3euSvsu2Td3rtnWF8DkYUrPwCC5vJ4lGSzqdDlCttsLt21K3D8Z8o09WqUEdiG8ZQWWUqJjw/ba6JimGwJsvd/SHGdr5Fjyj/lXPSu5POWezzvvtUq/PQ0WZsNU8LwZ2Wp0z6k+QJAOKUm2nT9sCZ67oeytys4WODUexM3644RWbwpAAAAAAAg7N6fuFmHCoxdB7h2aBNVT4kLe04AEEqevatVPO4vcq8fE/xgJpPiOl0j++B/y5xSLxTpIQIUOJ2asH5DoLhq1pYt8vh8YX9Nu9WqYnf4rsMjMpl8vgr42wWEWfbGTRpw8cgj51O//FitmnHHR0Uqdrk0ZVNOoPJ4ak6OXJ7yF+MYFWexaGDTJhrRqqUGNm0qu4361KrAs2dF4G4H98YJwQ9mMiuuy3WB7RfNyXVCkR4QNm63W7m5uUfO09PTZbXyuRaLnG6vznlijnYcKC4zNs5q1g8P9VL96gkVkhsQafjsBAA+OwGA75xAxdh5sFhnPz4nsG5RlnrV7IH1inibpUJyQ+Th93VEG2/B3v9vOPCO5PUEPZ616WAlDH9OlrodQpIfKleJ263pm7cEroNP3rhJDnfZO2sEy2o2q2/jTJ3ZupUGNWuqpDgKpGMNVwgBhESCzRbYAtF/HCwo1I8rVmj8phwt2r1H3jDVjDo9Ho1bvyFw+H+ADctqpjNat1LvzEaBH3CITv5OWkkjx8m9fmzg7gd/p61y83nlXPi2nMs/l73vg4rvfXegExgARDJ/gdYdpzfT/R+X3cLbv4D68k8b9OSVdCEEAAAAAADh8/LPGwwVcvnddUYWhVwAooLP5VDJ3JfkmP6YVJIf9Hjmmq2UcMqzsrY4TSaTKSQ5onJ4vF7N374jUMA1dt165ZWUhP01zSaTOteto2FNGmtAZiM1qlOHm/5jGMVcAEIu1R6vM5pnBY4DRcWatWevflm3Tst27Q7bbBc6nfp+9ZrAUSMxUSNatdBZrVurfd06fFmKQv4vuLYWp8rabKici9+VY/I/5CvcV/4BnQVyTPqbSha+qYShT8rW7mKZKPgDEMGGdaqjT6dt1YoteWXGjl2yR5f0y1CHJukVkhsAAAAAAIgtKzYf1tjFewzFnpSZFljXAIBI5t+8zLXyKxVPeEC+3C1Bj2dKrCH7wEcV1/UGmSy2kOSIyvl7sWrv3sAWij9nr9WegoIKed1O9evpjFYtNbRZU9lcbKeIX7HNIqoEtlmMjva5W3Jz9Uv2Wo1ak60NBw5WSC6Nq6UHirrObNNKmelc5I5WPsdhOaY/oZI5L0geZ9DjWRp0U8Lw52XN7BOS/IBQoPU4/mjJplxd/fJCwwulH93VlQJmxBw+OwGAz04A4DsnEP4L21e9vFDLcg4biv/ozq7ccAZ+X0dEc2+do+Kx98izfW7wg1niFN/zTsX3e0jmBK5DRqvNhw4FCrh+ys7WpoOHKuQ1W9WqqRGtWgaOhmlpgcdY68Tv0ZkLQIXxF1Pd0rOHbu7RXWv37z9S1bwjr+yuI+W1+VCuXpo9J3B0rFdPZ7VpFdgK0t+9C9HDZE9TwrAnFdftRjkmPBi4WyIYnh0LVPBeX9nani/70Cdlqd4sZLkCQKh0apquYR3raPzSsu98Xb7lsMYt2aPhnevyBgAAAAAAgJCZuGyv4UIu/zoGncMBRCrPoZyQXGP6ja3tBf9/jalpSMZDxdpfWBi4Tu1vQrJ8t7Huk8FqmJqqM1q3CnThalGrZoW8JqIXxVwAKmULvVa1agWOe/uerCU7dwYKu0avXaeDxcVhe92lu3YFjsemTFPfxpk6u01rDWrWVAk22p1GC0u1Jkq68Eu5e94ZkrsmXKv+K1f2KMX3vEPx/f7GXRMAIs6dZ2Rpyoq9cnl8Zca+9NMGDWhXS/Y4S4XkBgAAAAAAqjan26sXf9pgKNZmMQXWMQAgMnd/eVwlc14M0e4v3f9/95eTQ5IfKk6R06WJGzfqx9VrNHPzFnl8Za+7B6t6QoJOb9VSZ7RuqU716rG7BgyjmAtApTKbTOrSoEHgeHjQAM3eslU/rcnW+A0bVegM/gvVsbi9Xk3ZlBM4kmw2ndKieaBjV8+MDFnM5rC8JkLL2qiXkq+fLdfKr+WY8IC8uZvLP5jHqZJZz8q55APZBz6iuK43sp85gIjRoEaCLh/QSB9M2lJm7K5DDn02bauuHdqkQnIDAAAAAABV2xfTt2nHAWM3YF/Wv1FgHQMAIoXP45Zz0TtyTP6HfEX7gx7PlNZICUOflK3dRTJxPTFqeLxezd66LVDANX79BhW5XGF/Tf/152HNswJduHpnNpKVvy8oB4q5AEQM/w+yfk0aB45/u9yasmmTfspeGyi6cnk8YXnNQpdL361aHThqJyUF9iU+q01rtaldi8roKOjwFtf+ItlanaWSuS/LMf0xqaT8W3b6ig6o+JfbVTLvVSWc8qysLU7n7wCAiOAvzvph3k4dKij7l8z3Jm7W2T3rq0ZKfIXkBgAAAAAAqqZDBU69Mz7HUGy1JBs3lwGIGD6fT+71Y1Q87i/y7lsT/IBxybL3e0jxve6SyUbRarT8HVi9d1+ggOun7GztKywK+2vaLBYNaNI4UMA1sGkTdoZC0CjmAhCR7DarTm3ZInDkORwav35j4IftnK3b5A1Ty8u9hYV6f9HiwJFVo3qgqOvMVq3UIC01LK+H0DDZ7LL3/aviOl0lx5RH5Fz0tuQtf/Gfd/9aFX52hqxNBsk+/DlZ63XkrQJQqZLtVt16ajP955vsMmOLSjx6bfQm/eOi1hWSGwAAAAAAqJreGrdJBQ63odibTm2qlAQuOQKofJ49K1Q89l65N04IfjCTWXFdrpd90KMyJ9cJRXoIs515eRq1Jls/rF6jDQcOhn2+TZJ6NsoIFHCd0jxLaXZ72F8TsSMqv1k5XS4tWrFKcxYv1YbNW3To8GHl5ucHWuT5jf/4vcpOEUAIpdrtOr9928Cxr7BQY9au06g1a7V0166wzbP/B/xzM2YFjm4NG+is1q0ChWX8EI5c5uTaSjzjdcX3uE3F4+6Te/3ooMZz50xWwZudFdfpatkH/Vvm1PohyxUATpS/29YXM7Zp4+7CMmN/mLtDF/dtqBb1U5hoAAAAAABwwnL2FOqbWTsMxTapnajzejVglgFUKm/+7sB2is7F70m+X2sGgmHNOiWwi4ulTruQ5Ifw8TcFGbNuvX5cna3527dXyFS3q1M7UMB1esuWqpuSXCGvidgTVcVcBYVF+uCbb/X2F99o38ETr6S88t4HtHn7/758fvz8U8pswMV5IJrUSkrSyM6dAsfW3Fz9nL1OP63J1voDB8L2mgu27wgcj06eGmiLeeb/t8eMt0bVR2jMsNRuo+QrfpFrw/jA3RfevSvLP5jPJ+fi9+Vc8aXsfe5X/Mn3yhSXFMp0AcAQq8Wse89uoVveXFJmrNcnPffDer15cye2iwUAAAAAACfsxVHr5fEvMBhw91ktAusWAFAZfK5ilcx+Xo4ZT0rOgqDHM9duGyjisjUfHpL8EB5Oj0fTcjYHtlGcvHFT4DzcGldL1xmtWumM1i3VtHr1sL8eEDWVCCvXrtd1DzxcqhjrRHVu10bjps88cv7lT6N1/03XhShDABWtUXq6bunZPXBk79unUauz9eOabO0pCP7L2rG4PB6NX78hcKTEx+vUFs0DWzH6O3eZTf5Gmogktqxhst6yNFCM5Zj8d/kK9pR/MFeRHFP+qZJFbythyOOynXS5TGYWKABUrN6taujk1jU0a03ZBczz1h3UjNUH1K9tzQrJDQAAAAAAVA3z1x3UtFX7DcX2aFFdfdvUCHtOAPBHPq9XrhWfq3jiQ/Id3hb0BJmSagV2aYnrfK1MlqgpoYgpPp9PS3buCmyhOHrtOuU6HGF/zdpJSTq9VUud2bql2tWpw83TqFAmn/9vfYRbuHylLrjlThWXlBiK371g5rEf37dfnU4/J/A/ul9G/Xpa8OM3Ic0VlSN74yYNuHjkkfOpX36sVs2a8nZUErfbrdzc3CPn6enpslZQFyv/dqvzt+8IVGKPXbdeBU5n2F+zXkpKoFvXOW1bK6sGv7hGIl9JvhwznlLJ7Ockd/Bf7iz1Oith+POyNukfkvyAyv7sRPTYuLtAFz49z9DdsY1rJ+qb+3vKxt2xqML47AQAPjsBgO+cQOj41xsufW6e1u4o+4Zp//3NX/6lh1o2SOEtwFH4fR3h5MRzBKMAAQAASURBVN48Q8Vj75Fn58LgB7PGK77X3bL3fVAme2oo0kOI5Rw8FLju62/ose3w4bDPr7+hx/AWzQMFXN0bNpSlAps78NmJ34v4K4Q7du/RVfc9eFQhl78Q67QB/ZSV2Uj3PfGMobHq1qqpNlnNtGr9hsD5tp27tHHLVjXLbBSW3AFUPP8P1F6NMgLHI4MHacqmTYEf7tM25cjlDX6P7GPZlZ+vt+YvCBzt69TROW3baESrlqqemBCW18OJM8WnKGHIfxTf9YbAXRqu5Z8FNY2eXYtV8MEA2VqfLfuwp2Wp0Zy3BUCFaFY3Wef1bqCvZ24vM3bz3iJ9O3uHLu6bUSG5AQAAAACA6PbT/J2GCrn8zu5Rn0IuABXKc3CjHOPvl2v1tyEZz9b+EtmHPC5LtcYhGQ+hc6CwSL+sXasfV2dr2e7dYZ9am8WiQU2bBHZk6t+kseK50R4RIOKLuR5/7S3tP3joyLnJZNJfb7xWt115uWz//z+R0WIuv/49ux8p5vKbPn8hxVxAFWW3WXVqyxaB41BxscasXadRa7K1cMfOsL3mij17AsfjU6dpQNMmOqdN68A/+aEfGczpjZR0/qdy97pTxWPukWfrsTs5GuVa84Nca39WfI/bFN//7zInskc2gPC7aXhTjV64WwUOd5mxb47dpNO61FVqoo23BgAAAAAA/Cn/OsMrv2w0NEMJcRbdcmozZhNAhfAWH1LJtMdUMu9lyeMKejxLRq9fd1/J6BmS/BAaJW63Jm3cpO9Xrdb0nM3yVMAGc90aNtDZbVoHOnGl2e1hfz2gyhRz+btmfT9+YqnHHr79Zt16xaXlHrNt86xS5yvWriv3WACiR7WEBF3asUPg2JZ7WD9lZwequTcePBiW13N7vZq4YWPgSLPH6/SWLXV229bqVK8e+ylHAGuDbkq+drpcq7+TY/xf5T20qfyDed0qmfOinEs/Unz/fyi++y0yWeNCmS4AlFI9OU7XD2uiF0atL3Nmcgtdemd8ju49uwWzCAAAAAAA/tR7E3J0IN9paIauHpypWmnxzCaAsPJ5XHIueFOOKY/IVxz89TxzemPZhz0lW9sLuFYXIXw+n5bs3KXvV6/WL9nrlPeH3drCoVn16oFrtme2aqUGaWyticgV0cVcY6bNkPd326K1b9lCt1x+SVBjtmzapNT5uk2bgxoPQPTJSE/TLT176OYe3bVq795AUdfP2dnaV1gUltc77CjR58uWB47M9HSd07Z1oMq7YVpaWF4Pxvg7Pca1PU+2liNUMu81Oab9S3KUf69tX/EhOcbeLef812Q/5RnZWp3FLwMAwuaSfhn6ZtZ2bT9QXGbsFzO26YKTG6pRrUTeEQAAAAAAcJRt+4v06dSthmamdlq8rhiYySwCCGuBj3vtTyoed5+8B0LQmCU+Vfb+Dyu+x+0y2ei+FAm2Hz6sH1av0fer1mhLbm7YX69mYqLOaN1KZ7Vppba1a3P9DlEhoou5ZsxfWOp85LnHvjDuf8z/oW5E7Rqlt8DasWdPkFkCiFb+z452deoEjvv799Wcrds0avUajVu/QUWu4Nu0Hov/C8mLs+YEDn/rznPattGpLZorJZ67mCqLyRov+8n3KK7jSDmm/kvOBW8Eum2Vl/fgBhV9cY4smf2UcOrzstbvEtJ8AcAvzmrWXWdm6S8frChzQtwen178ab2ev6YDkwcAAAAAAI7i7/7t8hi7znbb6c0C2ywCQDi4dy2RY+y9cudMCX4ws0VxXW+SfeA/ZU6qFYr0EIT8khKNW7dB361arfnbt4d9LhOsVg1rkaWz27RRr0YZsprNYX9NIGaKuXK2lf6fuFfnTseMO5FiruTkpFLn+YWFQWQIoKrw/wDv2zgzcDzqdGnSxo2Bjl0zNodvT+YF23cEjkcnTdbQrCyd06a1Tm6cyZeJSmJOqqnE019WfI9bVTz+r3JnjwpqPM+W6Sp4s6tsHUcqYfBjMqc1DFmuAOA3+KTa6tw0XYs3lX3n0uTl+7RwwyF1zarG5AEAAAAAgCMWrD8YWDcwom2jVI3oWo/ZAxBy3rydckx6WM6lH/pbcwU9nrXF6Uo45RlZarUOSX4oH4/Xq9lbt+n7Vas1fv0GOdzlb6ZghNlkUp/MzEAHriFZzZQUFxfW1wNitpjr4OHS213VqxN8xazNWvo/2eEI/76rAKJLYpwt0GrTfxwoLNIva9fpxzVrtGzX7rC8Xonbo5+z1wYOf5vPM1u3CnTsal2buwQqg6VmSyVf+qNcmyYH7v7w7F4a1HiupR/Lteobxff+i+x9/ipTfHLIcgUQ2/w3NNx7dgtd9vx8Q/HPfL9Wn9/bQxbz0Z1uAQAAAABA7PF4fXrme+NbmN13TguZWVcAEEI+Z6FKZj0rx8ynJVdR0OOZ67RXwinPyZY1NCT5oXzW7d+vH1atCVxf3VMQ/uY67erU1lltWmtEq5aqlVS6uQ8QrSK6mMvlKl2ZGWezHTPuWFsv/pnD+fmlzlNTUsqZHYBYUCMpUSM7dwwcmw8d0qg12YGOXeHav3l/UZHeX7Q4cLSqVTPQ+vPM1i1VO5kCoIpmazpI1psWyrn0Yzkm/U2+/F3lH8xVrJJp/5Zz0TuyD3lMcR2vlMlMK3IAwfv1jti6+nlh2QXHa3cU6Md5O3VurwZMPQAAAAAA0Pdzd2jdzgJDMzG8Ux11bJLOrAEICZ/XK9eyT1Q88SH58ncGPZ4puY7sg/+juE5Xc/2lkhwoKgo0rvB34Vq5Z2/YX69BamqgA5e/SUZWjRphfz2gokV0MVf19DTt2vu/1q55BQWqkR7cF8Xtu/aUfo201KDGAxA7Glerpjt699LtvXpq6a7d+mH1Gv2SvVa5DkdYXi973349OW26np4+I9AS9Jy2rQMtQRP+pLAVoecvuIrvfLXi2l4gx6xnVTLLf2dIcbnH8xXsVvEP16pk7su/3hnSbHBI8wUQm24fkaWJy/bK4fKWGfvKLxs0tGMdpSRE9K8BAAAAAAAgzPKL3Xpt9EZDsXabWXee2Zz3BEBIuHKm/rozyq7FwQ9mtSv+5N92RqGJS0Urcbs1ZVNOoIBrWs5mub1lr1EHIzU+Xqe1bBEo4urSoEFgW0Wgqoroqzg1q1UrVcy1PmeLanQ6upjrRP4XXbRyVanzBnXrBJUjgNjj7wbYqX69wPHQgH6BLyf+LylTN+XIFYYvKV6fT9M3bw4c/r2dT2/ZQue1a6PO9eufUGdClJ9/a8SEQY8ovuv1Kp74N7mWfRzUnu3e3ctU+NEQWVuM+P8921vx9gAotzrpdo0clKm3x+WUGXuowKV3xm/SPWe1YMYBAAAAAIhh/vUB/zqBEf51h3rV7GHPCUDV5tm/TsXj/yp39o8hGc/W4QolDHlM5rSMkIwHY3w+n5bt3q3vVq7WL2vX6rCjJKxTZzObNbBZU53VupUGNG2ieGtEl7gAIRPRf9NPatVSK9b+b6/u2YuWqGenDkGN+f3YCaXOe3XuGNR4AGKb/wvDsOZZgeNgUXHgS4t/D2j/l5hwKHQ69fWKlYGjcbV0ndu2rc5u01r1U7nboCKYUxso6dwP5e55R+CuEffmqUGN5173s/I3jFFct5tlH/BPmZNqhixXALHl6kGN9f3cndp3uOxfnD+ftk3n9mygxnWSKiQ3AAAAAAAQWbbsK9Ln07cZiq2dFh9YdwCA8vIWHZRj6r/knP+a5HUHPZGWzL5KGP68rA268qZUoJ15efphdbZ+WL1amw4eCvvrdaxXL7Br0ektWyo9gYJixJ6ILuYa0Ku7PvvxpyPnX/08Wndcdbmsf6i2NNqZZtaixVq4YmWpx07u0jlE2QKIddUTE3RFp46BY+OBg4FtGP3Hrvz8sLze5kO5en7mLL0wc5Z6ZzbSee3aalhWluy2iP5orxKs9Tsr6erJcmePUvH4++Q9sL78g3k9cs57Vc5ln8je72HF97xdJmt8KNMFEAMS4i26c0SWHv6sdBfaY3F7fXrux/V65QZuagAAAAAAIBa98OM6uT3Gdh6484yswLoDAJwon9upkvmvqWTqv+Rz5AY9gebqzWQf9rRsrc9h55oKUuxyafz6Dfp25SrN2bpN5d+zxpj6KSk6u21rndOmjZpUrxbmVwMiW0Rf8R/Ys4fSU1OUm/drIcSWHTv12ief686rR57wWPsPHdKdjz5e6rFWzZqq60ntQpYvAPymWY3qurfvybq7T2/N27ZdP6xarbHr1qvQZaxt9Ynwf3GatWVr4EiOi9OIVi11brs26lSvHl9mw8hfSGxrfZaszU+Vc+Gbckx5RL7iIO5EcByWY/x9ci54/ddfRtqcx/sH4ISc1qWuvpq5TSu25JUZO2P1fs1as18nt6YjIAAAAAAAsWTu2gOaunK/odj2mak6tXPdsOcEoOptw+da84Mc4/8q78ENQY9nsqcrfsA/FN/9VpmscSHJEcd//5bs2hUo4Pole50KnM6wTleSzabhLZrr7LZt1COjocwGG/kAVV1EF3MlJyXq1pGX6bFX3zzy2FNvvqtaNarr0jNHGO7MtXZTjq6+70Ft31V627O7rhnJhXIAYeX/wtGrUUbg+OfgQZqwYYO+X71Gs7dsldcX+vp1/xeqL5evCBxNq1fTuW3b6Ow2bVQ3JTnkr4Vf+X9xiO95h2wnXa6Saf9RyfxXJU/5i/a8h3JU9NUFsjQ6+dc2wQ27M9UADDGbTfrrOS11xYsLDMU/+/06dW9RXTaLmRkGAAAAACAGuD1ePfP9OsPx/nUG/3oDABj+nNmxUMVj75Fny4zgJ81sVVz3W2Qf8A+ZE2vwJoTZnoICfb9qtb5bFf5tFP0/Wfy7Dp3Ttk1g16HEOFtYXw+IRhFdzOV33UUX6Otfxmp9zubAudfr1T3/flJjp87QdRedr24dTjrm89xut+YtW67vxkwIbM/o9nhK/Xn/Ht105pBBFfLfAAB+/i8iZ7VpHTh25xfopzXZgS9E6w8cCMsE+b9oPTtjlp6fOVsnZzbS+e3aakhWM8X/YatahIY5sboSTn1ecd1vlmP8/XKt+T6o8TxbZ6ng7R6ynXSpEoY8IXN6I94qAGVq3zhNI7rV088LdpUZm7O3SF/P3K7L+vP5AgAAAABALPh2zg5t3F1oKPb0rnUD6wwAYIT38HYVT3xIrmWfhGTCrK3OUsKwp2Wp2YI3IIxK3G5N3LAxcL1yxuYtYWlE8XvNqlcPNKI4s00r1UtJCetrAdHO5PP3yYtw/u0VT7/mRu0/RgWoxWKR5w+FWs0aZWjrzl1yud3HHK9hvboa//F7qp7Ol9CqInvjJg24+H/bb0798v/Yuw/oKKq3DeDP9t30BELvSUhPCL33XhVpoqLYewHB+reLvXcUVBTpAkpHeoeQkB5CrwktpG/f/c6Mn0gUyZKdTXaT53fOHN1wuXOZhbszd9/7vnPEMppUPYRgyoKCv2tfBwQEQMkAomsSpuDM8xewNDMTv2cdxKWyMpe+N34ajViG8ZaYaMQ1qM/shC5kOb71z90nZ/c735lSC03XKdD2eBYyDW9uayrOnSSV84VGjHpzJ/Sm8vfI1+KjVeK3F7siyIfpyckzce4kIuLcSUTEe04ixxSVmTHyzZ0oKK24qoBWLcfy57uifoCWl5cqhc/rtYfdWALD9ndh3Pk+YNY73Z+iQRtoB38IVas+koyPrv3dZMa581icnoHfs7NRaDC69DIF6rQYHhGB0dGRiKnP7yavh3MnXc0j0rM0b9wIi774GPc88wKOnjxd7tf+GcglOHLy1H/2JQT4/PjB2wzkIiK3IJSJja5fTzye6dkD24+fEMswClHwpmvMb84qMhrxS0qqeAjR77fERImZwur7sAyj1JQtesLn/r0wp86F/o/nYC86U/nOLAYYt86Aaf930PZ7HeqEuyFTeMRHOBFVg3r+GtwzoAU+X3mkwrYlBgu+WnUEL4yLrJKxEREREREREVH1+GbtUYcCuQR392vBQC4iui67zQpT8g8wbHgR9pI8p6+WzLcRtP3fhDr+DsjkCl59F7hUWoZlWVlYkp6BnIuuqRr0F5Vcjj4hrcQyir1atoBawfeUqEZm5vpLSWkZXvzgYyxatfaaQVzXI5fLMWbIILw1/Sl4e3m5bIxUPZiZy70wath5RQYDVuUcwrKMTCSeOQtXkstk6NmiBUbHRKFfSCuWYXQBu6kMxp0fwrD9bcDkWBrz65HXi4Fu8AdQhQ6UZHzkHjh3kpSMZitufmsXzuYbKmwrlwHzp3VC60bM/Eeeh3MnERHnTiIi3nMSVezYuVKMfWc3LLaKvxJsEKDB0ue7QqfmF+9UeXxer9nMR/6Afs1U2M6lOt+Zygva7tOh6fY0ZGpvKYZHVzFbrdh89JiYhWvLseOw2GwuvT7xDRrgpuhIsUpQoE7H9+IGce4kjw3murrs4sx5C7FmyzacyTt33bZ1gwLRr2sXPHrnbQhr0bzKxkhVi8Fc7oUfNNI6UVCApemZYr3qs8XFcCV/rQYjIiLEjF1MdSo9W3EuDBv+B1PybCGPrdP9KUMHQzf4fSjqRUsyPqpenDtJahtSzmPq944tqHQIC8TMh9uy/C55HM6dREScO4mIeM9JVLFHZyZje6ZjWVjenhSDwW0b8LKSU/i8XjNZL2RBv3YaLDkrne9MJoO6zZ3Q9nsDcr/GUgyPrpJ94YIYwPVbZjby9c6Xv7yeBr4+uCkqUjxC69Th++AEzp3k8cFcVzuVm4eUrGxczL+MgqIimMwWBPr5IiggAJGhrRAZGsIvpWoBBnO5F37QuIbNbseeU6fEm6+1OYdhsFjgSq3r1sGYmBiMiopAHWY0lJQ1L0XctWI5usH5zmRyqNvfD22fVyH3qSfF8KiacO4kqQm3+fd9kYTEw5cdav/B5Dj0i+c8Qp6FcycREedOIiLecxJd346si3jkmwMOXaY2Lf3x/ePt+b0aOY3P6zWLrfQCDJtehSnxa8B2Y9WzrkXZsg+0gz+AsmGCJOOjP13W6/F71kEsychAxrnzLr0sOqUSg1uHiWUUOzVtAoVczrdBApw7qUYFcxEJGMzlXvhB43rFRiNW5xzCr+kZLi/DKNS17hvSCuNiY9C9RXPekElE+Pi15KyCfu3TsF3Mdr5DjS+0PZ6HpsuTkKm0UgyRqhjnTnKFg2eKcev7e+BAFQU0CtJi6XNdoFGxjAJ5Ds6dREScO4mIeM9J9N/MVhvGvbMbx86XOXSZ5k7piOhmfryk5DQ+r9cMdosRxt2fwrDlDcBY5HR/8jqtoRv0HpThIxg0KhGhbOL24yfERBAbjhwVyyq6UocmjXFLdDQGh4fBR6126blqI86ddDVluVdEROQRfDUaMbhKOI5fviyWYBSOvOISyc9lttmw9tBh8ajv4yOWYBwTE41mAQGSn6s2kclkUIUPgzJ0IEyJM2HY9DLsZY6lOr8mYzEMfzwHY+LX0A14G6qY8XwYIiKEN/bFLV0aY9HOMxVejbP5Bvy0+STuHdCSV46IiIiIiIioBpi/7ZTDgVwjOzZkIBcRXdmMbs5YDMP6Z2C7fMzpqyLTBUHb5xWoOzwImULFqywB4bvBRWkZWJqRifOlpS69pg19fTE6OkrMwtUikN8NElUVZuaiGoGZudwLo4arh9Vmw66Tp8SgrrWHDsFocW30vZA2dWxsDAaHhUGrYmyws2z6Ahi3zoBx9yeA1eR0f4omnaEb/CGUzbo43RdVDc6d5Cr5JSaMfGMnSgwVl+fVqRVY/kJX1PPX8A0hj8C5k4iIcycREe85ia7tUrERo94U1gOsDq0H/PZCVwRzPYAkwud1z2U5tQf6NVNgPbXT+c4UKmg6PQZNrxch1wVKMbxaTW82Y03OISxMS8e+0xVv3nWGRqnAoLAwMYirS7OmrNpTRTh30tXc/tv3qW+8gwkjhqJDfGx1D4WIyK0J9aiFMojCUWzsi5UHc7AkPQPJZ3Ndcr49p06Lx6uaTRgREY6xsdGIqV+f2aAqSa4LgG7Qu+LOFMP6Z2HOWOTU+2M9vRsl33UVM3RpB7wFRSAz7RDVVkE+ajw4uBXeX5ZTYVu9yYpPVxzGG7dFV8nYiIiIiIiIiMg1PltxxKFALsE9A1owkIuolrMVnIB+/XMwp82TpD9V1GhoB7wDRZ1QSfqrzVnS0vLOYVF6On7POogSk/PJAK4nvmEDsTrPsPDW8NNqXXouIvLwzFwNOnQX/xvSrCnGDx+KscMGo2G94OoeFrkZZuZyL4wadi9H8/PFbF1LM7JwrkT6MoxXiwiuK97kjYqKRKBO59Jz1XSWEzv+3P1yZq/znSnU0HR5Etqez0Om9ZdieOQCnDvJlcxWG8a9s9vh0go/PdkBsS04X5D749xJRMS5k4iI95xE/5Z2ohB3fLTPoUvTKEiLpc91gUal4KUkyfB53XPYDUUwbHsbxl0fAhaj0/0pGrX/s2pIix6SjK+2uqzXY3lmllhK8eDFiy49V7C3F26OisLomCiE1qnj0nPR9XHuJI8M5vqLXC5Hr47tMX7EMAzp3QMatbraxkbug8Fc7oUfNO5bhnHHiZNiYNe6Q4dhsrquDKNKocCA0BAxsKtb82ZMv1pJdpsN5vQF0K9/FvbCk06/LzKvutD2fRXqdvdDpnD75Jy1DudOcrUdWRfxyDcHHGob29wPPz7RAXK5zOXjInIG504iIs6dRESuxntO8jQ2mx2TPt6H9JNFDrV/765YDGhT3+XjotqFc6f7s1stMCXNgmHjS7CXnne6P5lfE+gGvAVV7ETI5HJJxljb2Ox28Xu8RWnpWH/4CMyu/B5PLke///8eT6j4o+R75hY4d9LVPO6bXJvNhk2794pHgJ8vRg3ohwkjhiEhOrK6h0ZE5PZlGHu2bCEeRQYDVmQfxJKMTKTk5kl+LuEGc9XBHPFo6OuLW6KjcEtMNJoGMMvLjRAeeNRxt0IVeROMuz6BYdsMwFhc6ffFXnYR+hWPwLjnc+gGvQ9l2BCWxSSqRbpF1kX3qDrYnnmpwrZpJ4qwMjEXIzo2qpKxEREREREREZE0ft+X63AgV8ewQPSPr8dLT1TLmA+thX7tVNjOZzjfmdob2h7PQdPlKcjUXlIMr9Y5U1iExekZWJKegbPFlf8OyBHR9euJ39mNiIxghR0iN+f2mbmGTr4fSemZFbYLb9US44cPwdihgxFcJ6hKxkbug5m53Aujhj3L4UuXxGxdyzKycL601KXn6tqsKcbExmBQWCg0So+LJ652tpJzMGx8Gab93wppu5zuTxkyQAzqUjSIk2R85BzOnVQVjp8rxZh3dsNiq/gRoI6vGstf6AofLedrcl+cO4mIOHcSEfGek+hvxXoLbpqxE5eKTRVeFoVchgXTOiG0oQ8vIUmOz+vuyXouHfq1T8NyeK3zncnkULe9G9q+r0Pu20CK4dUqRosFfxw+goVp6dh54iRcGbARqNNhVFSEmIUrIjjYhWciZ3HuJI8K5hIcOn4CC35fhSVr1iH3/IXrtlUqFOjTpZOYrWtAj65Qq1RVNk6qPgzmci/8oPFMFpsN24+fENO3bjhyVHztKn4aDUZGRmBMbDRi6jOF943iA1fNxLmTqsoHy3Lw02bHSrdO6tMMU0a1dvmYiCqLcycREedOIiJX4z0neZIPl+dgzibHnvkn9myK6aPDXT4mqp04d9bwjeKt+kM3+ANuFK+E7AsXxO/hlmdmo8BggKsoZDL0btVSDODq1aol1AqFy85F0uHcSR4XzHV1icXNu/diwYrVWLt1GwzG6+8sCAoIwOhB/cXArpjwsCobJ1U9BnO5F37QeL5LpWVYlpUl3lAevpTv0nNF1gvG2JgY3BQVAT+t1qXnqmnMh9aIu2gkTYXcdQpkKp0Uw6MbxLmTqkpRmRmjZuzE5RJzhW2VchkWTu+MVg28q2RsRDeKcycR0Y3j3ElExHmTaqZj50ox1sFs3IHeKjEbt58XEyKQa/Ce0z3YzQYYd30Mw7YZgNH58n3yuhFiEJcybAhkMpkkY6wNio1G/J6VjUVpGUg7d86l52pdtw5uiYnGqMgI1PXmmq6n4dxJHhvMdbXC4mIsW7cBC1euxv60ir/EjmkdJpZhHD1kIOoEBFTJGKnqMJjLvfCDpuYQPiJS8vLEoK4V2TkoNVWcnruyNEoFhrRujfFxMWjfuDEfBBx9j6wWmJJmwbDxf7CXXj97pSNk/k2h6z8DqtiJkMnlTvdHjuPcSVVp8c7TeGNhtkNtO7UOwtcPJXBeJrfEuZOIiHMnERHvOYn+XMd9+Otk7Dro2Mbcl8ZHYnSXxrx05DJ8Xq/+OcGcNh/6P56DveCE0/3JvOpC2/dVqNvdB5mCQaCOvgf7Tp8RyyiuyTkEg8UCV/FRqzEiMlxMnBDboD7XcT0Y506qEcFcVzt8/CQWrFiFxavXVliGUaVUYmCPbmJgV9+unaFUKqtsnOQ6DOZyL/ygqZnKTGasycnBovQM8QbUlUKCgjA2NgY3R0eijpeXS89VU9gNRTBsexvGXR8CFqPT/SkatYdu8IdQtughyfioYpw7qSpZbXbc9uFeZJ92bEfeB5Pj0C++nsvHRXSjOHcSEd04zp1ERJw3qebZlHYeT81KdahtVFNf/PRURyjkzKpDrsN7zupjObkT+jVTYD29x/nOFGpoujwJbc/nIdP6SzG8Gu9SWRmWZmSKQVxH8y+79FwdmjTGuNgYDG4dBp2KQXY1AedOqnHBXFeXYdyyZ58Y2LVmS8VlGIODgjBm6CC8/MQjVTZGcg0Gc7kXftDUfMfyL2NxeoZ4Q3q+tNRl51HJ5RgQFipm6+rSrBnkTNtbIVvBCejXPwdz2jxp3oOoW6Ad+A4UQSGS9Ef/jXMnVbUDxwpw1yeJDrVtGKjFr891gU6tcPm4iG4E504iohvHuZOIiPMm1SxGsxWj396NM5f0DrX/8Yn2iG/JCjbkWrznrHrW/KMwrH8W5oxFkvSnihkH7YC3oQhsKUl/NZnNbseukyexIDUd6w8dhtlmc9m56nl74+boKIyNjUaLwECXnYeqB+dOqrHBXFcrKinBsnV/YOGKNUhMS79u27x926tsXOQaDOZyL/ygqT0sQhDtsWNYnJaBTUePia9dpam/v5ita0xMFOr5+LjsPDWF5dSeP3ffnNrpfGcKFTSdHoOm14uQ6/hw4CqcO6k6vPhzOlYk5jnU9v5BLfHwEAZ2knvh3ElExLmTiIj3nFTbfbvuGL5YdcShtsM7NMQbt0W7fExEfF6vOjZ9AYxbZ8C4+xPAev1EJ45QNOn0Z9WOZl0lGV9Ndr6kBIvTM7EoLR2nCgtddh6FTIY+Ia3EAK5eLVtCKZe77FxUvTh3Uq0I5rrakRNCGcbVWLxqLc6eP/+vX2cwl+djMJd74QdN7XSxtBRLM7KwKN21qWP/umkdHxuDni1bQMGb1v8kfMSbMxbDsG46bAXHnb72Ml0QtH1ehrrDQ5ApmLJXapw7qTpcKDTiphk7UWq0VthWrZRj6XNd0LiOrkrGRuQIzp1ERDeOcycREedNqjnyLhtw01s7YTBVvMnWS6PA8ue7IthfUyVjo9qN95yuZ7eaYUqcCcOmV2Avu+h0f7KA5tANeBuqmPGQsUrKf7LabNh+/ATmp6Zh45GjsLow1KJlYKAYwCVk4gr29nbZech9cO6kWhfM9ZeS0jI8++4HYlDX1RjM5fkYzOVe+EFTuwkfK8lnc7EoPQMrsw+izGx22bka+PpgTEy0WBO8kZ+fy87j6exmA4x7PoNhyxuAscjp/uR1WkM36D0ow0fwoU5CnDupuszZdAIfLj/kUNs+scH46J54l4+JyFGcO4mIbhznTiIizptUczz7YxrWJJ9zqO2TI0NxV98WLh8TkYD3nK79DsaSswr6tU/DdjHb+Q41vtD2fAGazk9AptJKMcQa6WxRMRanp4uVas4WF7vsPDqlEkPDW4uVato1bsTvYGoZzp10NSVqgd3JKViwYhV+37BJDOgiIiLXEXZstG3cSDxe7NMLqw7mYHF6BvafOSv5ufKKS/D5rj34Ytce9GjRAuPjYtA3pBVUCoXk5/JkwgOYtvs0qBPugmHTqzAlfg3YKs7C819sl3JQ+ssoKFv2gXbwB1A2TJB0vERUtW7t0RRLd53BsfMV3ydvSruAndmX0DWiTpWMjYiIiIiIiIiuLfHwZYcDuZoHe+G2ns14KYk8nDUvBfo1U2E5usH5zmRyqNvfD22fVyH3qSfF8Goci82GTUePYWFqGrYcOw6bC3PkxDdsIAZwDQtvDV8NMygSUQ0O5jqVm4eFK1Zj4crVOOGCAAIiIqqYt1ot3nwKx5FL+eKuhV8zsnCpTNrAWuH2eevx4+JR18sLt8REi+dsERjAt+kqcu9geA3/HJpOj0C/dhosOSuduj6WY5tQ8nU7qNvcCW2/NyH3a8TrTeSBVEo5pt8Sjoe+Snao/bu/HsSi6Z3F30dEREREREREVc9itYnP546adnNrPscTeTBbcS4MG/4HU/JsITWX0/0pQwdDN/h9KOpFSzK+muZUQSEW/X8WrvOlpS47T6BOh5uiIsVSiq3r1nXZeYjIM9WoYK5SvR4rN27GghWrsXN/sphm8nrCW7XEuOFDqmx8RES1WUidIDzTqyemdO+GzceOu2wnw8WyMnyzd594dG7aVMzWNTAsFBpljfrIc4oiOBI+t6+A+cgf4i4e27nUyndmt8OU/ANM6Quh7T4dmm5PQ6Zm7XYiT9MlvA76xgVjY+qFCtseP1+GuVtPsjQDERERERERUTVZsusMcs6WONS2Z3RddI9ikACRJ7KbymDc+SEM298GTM4HFcnrRUM36AOowgZJMr6axGS1YsPhI1iQlo4dx0+ISQRcQQaIlWaEAK5+oSFQs9IMEf0Hj/9mWwjYurqMYmmZ/rrtA/x8MWpAP0wYMQwJ0ZFVNk4iIvqTUAJxQGiIeOQWF2NJegYWpWXgTFGR5Jdo96lT4hGg1eLm6ChMiIsVg8ro/9+LkP5QPpQkBmMZNrwIe0le5S+NuQyGTa/AmDgT2v5vQh0/CTI5s/YQeZKpo1pjR9YlGM22CtvOXHsMQ9s1RD1/pvwmIiIiIiIiqkoFpSZ8seqIQ21VChmevqm1y8dERNKy22wwp86F/o/nYS867XR/Mu960PZ7HeqEuyFTeHx4gKSOX76MhanpWJKRKXlVmas19vMTA7hGR0ejkZ+vy85DRDWHx87WJ8/miiUUF61cU2EZRYVCgZ4d22P88KEY0rsHNGp1lY2TiIj+W0NfXzzapTMe6tQRO06cxILUNGw4clSsQy6lAoMB3+9PEo9OTZvg1vg4MZiM2boAmVwBTbt7oI4ZD8P2d2Hc+T5gvn5g9PXYi89Cv3QyTLs/hVbY4dOqj6TvJRG5TuM6Okzu1wJfrzlaYdsyoxWf/H4Ib94ew7eEiIiIiIiIqAp9sfIIisosDrW9o09zNAv2cvmYiEg6luNboV8zBdaz+53vTKmBputUaLs/A5nWT4rh1QhGiwXrDh3G/NQ07DnlfLDcf1HK5egX0goT4uPQrXkzyGVCXi4iohoYzCWUUVyxQSijuAq7kg5UWEYxtHkzjB8+BGOHDUGDYKaQJSJyVwq5HD1bthCPi6Wl+DUjEwtS03GioEDycwk35sIRpNNhTEw0xsfHonlAAGo7mcYHun6vQdP+Puj/eAHmlJ+c6s+am4zSH/pCGTEKuoHvQlGXOwCJPMFdfZvjt71ncTbfUGHblYl5GNO1CRJacQ4lIiIiIiIiqgoZJ4uweNcZh9oG+2tw74AWLh8TEUnDeukwDOumw5y1VJL+VHEToes/A/KA5pL0VxMcv1yABampWJyeicv6ym9qr4jwndP4uBiMjo5CXW9vl52HiGo2tw/mEgK2hMCtBStWY8XGisso+vn4YGT/PmIZxfZxzBRARORphBvb+zt2wH0d2mP3qdNYmJqGNYcOw2y1SnqefL0eM/clioewI0LI1iXskBDKQNZmcv+m8L5lDiydH/9z98+JbU71Z8lejuKclVB3fBja3i9B7lVHsrESkfS0aoVYfmHK7FSH2r+9JBu/TO0EhZy7yoiIiIiIiIhcyWaz463F2aggz8EVT40Mg5fG7b8GJKr1bPrLMG5+Hca9nwNWs9PXQ9GsG3SDP4SyScdaf20FwndLQkWYeSmpYoUYVxG+WxocFopxcbHo3LQJZMzCRUROcvu7uE43jRNLKl6PXC5H9/ZtxTKKQ/v0gk6rqbLxERGRawg3ul2aNRWPl/R6LMvMEsswHr6UL/m5hBt44Qj29sLY2BiMj41FY//anXJY2bg9fO7eIu4CEnYD2fKPVL4zm0Usu2g+MAea3i9B0/ERyJQseUzkrvrEBqNzeBB2H6x4vj14pgRLdp7BuO5NqmRsRERERERERLXVsj1nkX6yyKG2bVr6Y0jb+i4fExFVnt1igmnfVzBsfg12vfPfe8gDW0I78F2oom5hIBGAM4VFWJiWjoVpabhQWuayv6ohQUEYHxeLm6IiEeSlc9l5iKj2cftgrusFcrVs2gTjhg3GuGFD0LgBb0qJiGqqQJ0Ok9u1xV1tE5B8NlcM6lp5MAcGi0XS8wg39F/u3ouvdu9Fr5YtMSE+Fr1btRTrmtfWgDp11GioWg+Hce8XMAoPlYbKl74Ufq9hzRSY9n7x50Nl5M18qCRy03/7z4wOx9h3dsNiq3i77xerjmBgQj0EeDNIk4iIiIiIiMgVCkpN+HTFYYfaCslgnr0lnOtuRG5clcqS/Rv066bBdumQ8x1q/aHt+SI0nR+DTFm7E55YbTZsOXZczMK1+egxOJjI8IZplAoMCw8XSym2bdSI8y0R1c5grn/y8fbC8L69xTKKnRPiq3s4RERUxQEGbRs3Eo8X+/bGb1nZWJCajszz5yU9j3CDv/nYMfFo4OuDcbExGBcbK/5/bSRk0dJ2fQrqNpNg2Py6GIwlZNuqLCHLV9n8W6Bo3uPPdM+N20s6XiJyXsv63pjYqxnmbDpRYdvCMjO+WHkEL4yL5KUnIiIiIiIicoHPVx5BQalj5dfGdGmMiCa1u+oAkbuynE2CYc1UWI5vdr4zuQLqDg9B2/tlyL3rojY7V1KCRWnp4vdFucXFLjtPRHBdMQvXqMgI+Gm1LjsPEZHHBHOJpbbathHLKA7v1xveOqYoJCKq7Xw1GtzWJl480s+dw8LUdCzPykapySTpefKKS/Dpzt34Ytce9AlphVvjYtG9RXMoamG2LrlXHXgN/Riajg9Dv246LNnLnerPemIbSr7pAFX8HdD1fxNy/6aSjZWInHf/oJZYtT8XF4sqnlcX7zqDm7s0RlRTLhYTERERERERSSnjZBGW7DrjUNsAbxUeHRbKN4DIzdiKzkD/xwswp8wRUnM53Z+y9XDoBr0HRXAEaiub3Y4dJ05ifkoq/jh8BFYJruu1eKlUGB4hZOGKRVyD+szCRURVxu2DuabeN1kM4mrWqGF1D4WIiNxUTP36iBlQH8/26olVB3OwIC1NLMcoJeFBQHggEI4mfn4YFxeLsbHRCPb2Rm2jqNsaPhOXwXxss1g20Zqb7FR/5pSfYM5YBE23p6Ht/gxkmtqZAY3I3fholXhyRBhenJtRYVthrWTGomzMebID5HJZlYyPiIiIiIiIqKaz2eyYsTjb4diPJ0aEwt9b5ephEZGD7KZSGLa/B+OO9wBzmdPXTd4gHrpBH0AV0q/WvgeXysqwJD0D81LScKqw0GXnia1fXyyjODwyAj5qtcvOQ0T0X2R2oTAvkYfLPnIUvSdMuvJ68/w5iAhpVa1jqs0sFgsKCgquvA4ICIBS6faxo1TD5Fy4iPmpaViamYVio9El51DK5egfGoKJ8XHo3Kwp5LLaF8Bgt9nEYCz9H8/DXnzW6f5kPg2g7fcG1Al3QSZXoDbh3EnuSHhUuOvTRKQcc2xh5MVxERjTtYnLx0X0F86dREQ3jnMnERHnTfIcQkau1xdkOdQ2trkffnyCm6zIPdT2e067zQrTgTkwbHgB9uJcadbN+78JdZs7a926+V9rlHtPn8G8lFSszTkEs83mkvMIQVsjIyPELFzR9eu55BxE11Pb504qj+88ERHVSK2D6+Klfn0wrWd3rMzOwbzUVKTk5kl6DovNhjU5h8SjeUAAJsTFYkxsNAJrUTlgmVwOdcKdUEWPgXHH+zBsf9epHUb2kjzol98L4+5PoRss7DDqL+l4iejGy50/d0s4bv1gr0O7gD9bcQT94uoh0Ie71YiIiIiIiIicUVBqwqe/H3aorbDH9LkxEcyWTeQGzEc3wrBmKqx5B5zvTKWDpts0aLtNq5UVLQr0BizNzMT8lDQcyc932XnaNGyIW+NjMaR1a3ipmd2QiNwDg7mIiKhG06lUYoCVcGSePy/e9C/PzEKp2SzpeU4UFOCdrdvw0Y6dGBbeGrclxCO+QYNaUz9dpvaGts/LULe7F4YNL8J04Mc/665Vku1cKkp/HABl62HQDXoPiuBIScdLRI6LaOKHMV0aY9HOMxW2LSwz49MVh/HyhCheYiIiIiIiIiInfL7yiPic7QghS3ZUUz9eb6JqZL14EPp102HJ/k2S/lRtJkHX703I/ZvUuixcB3LzxCxcKw8ehNFidcl5vNVqjIqMwK3xcYisF+yScxAROYPBXEREVGtE1auH1wb0w/RePbAiKxu/pKSJAV5SMlmtYmlH4RDS8N7WJh4jIsLFoLLaQO7XGF43fw9158fF3UeWY5uc6s+SsxLFh9dA3f5BMVhM7s2HKqLq8MiwEKxPOY+C0ooXkZfuPoubOzdGXAv/KhkbERERERERUU2TfrJQLLHoiEBvFR4dGuLyMRHRtdnKLsGw6VWY9n0F2CxOXyZF855i1Qpl4/a16pKXmcz4LTsbcw+kIOv8BZd+TzSxTZz4vY0Q0EVE5K4YzEVERLWOUPd8QnycWPc8Le8c5qWmicFdeovzD1pXyzh3Hs+vXY+3N2/F6JgoTIyPQ6ugINQGyoYJ8L5rAywHf4d+7TTYLuVUvjObFaa9X8CU8hO0vV6EpvPjkCk1Ug6XiCoQ4K3GEyNC8er8LIeu1YzF2Zg7pSMU8tqRnZCIiIiIiIhIKlabHTMWHXQ46b3wvO7vXTs2khK5E7vFCOOeL2Dc8jrshgKn+5MHhUI76D2oIkbVmoofgqP5+fjlQCqWZGSi2Gh0yTm0SiVGCFm44mIR26B+rbq+ROS5qi2Y68cly/71sztvucmhdlK71nmJiKjmE27Y4xo2EI/ne/fEsswsMXVvzsVLkp6nyGjED/uTxaNb82Zitq6+Ia2glMtR06+vKmIklGFDYNr3NQybXoFd70Rde2MRDOumizuctAPegSp6DB+6iKrQqI6NxKxbqccLK2ybfboYi3acxoQeTatkbEREREREREQ1xdLdZ5B5qsihtrHN/TCyYyOXj4mIypcBNGf+CsP6Z2DLP+L0pZHpAqHp9RI0HR+GTFk7MkVZbDZsOHxEzMK18+Qpl50nrE4dsYziTVER8NNqXXYeIiJXkNmFT5xq0KBD93/9LG/fdofaSe1a5yXPkn3kKHpPmHTl9eb5cxAR0qpax1SbWSwWFBT8vQshICAASiUTAZJnED4Wk8/m/n899hyxbKIr1Pfxwa3xsRgXG4N6Pj6oDWz6yzBueQPGPZ8B1opLtVVE0bQrdIM/hLJpJ9QEnDvJE2SfLsLED/bC5sAThI9WieUvdEEdX2bSI9fh3ElExLmTiMjVeM9JVamg1IRRb+5CYVnFa2dCYplfpnREZFO/Khkb0Y2oqXOn5cw+6FdPgfWkBN8ty5XQdHoUml7/g9yrdlT0OF9SgoVp6ZiXkoZzJSUuOYdaocCQ8DDcGheHdo0bcUM4eZSaOndS5fCdJyIi+kc2qbaNG4nHC316Y2lmphjYdTT/sqTXSXhQ+XjHLny+aw8GhIaI2bo6NW1Sox8s5LpA6AZ/AHXHh2FY9wzMmUuc6s96aidKvu0MVeyt0A14C/KA5pKNlYiuLaKJH8Z1b4L5205XeIlKDBZ89NthvHFbNC8nERERERERkQM+W3HEoUAuwdhuTRjIRVRFbIWnoP/jeZhTfpakP1XkTWL1CUXd1qgNG+j3nT4jZuFae+iwmJXLFVoEBmBCXBxGR0chyEvnknMQEVUlBnMRERH9hwCdFpPbtcVdbROw9/QZMahrbc4hmCV82BAeXFbnHBKPkKAgMajr5uhI+GpqbiYbRVAIvCcshuX4NujXTIH1bKJT/ZnT5sGc9Ss0XZ6CtsdzkGm5G5HIlR4eEoL1B87jUrGpwrYr9uVidOdGaBsSyDeFiIiIiIiI6DrSThTi191nHLpGgd4qPDo0hNeTyMXsxmIYtr0D484PAIvB6f4UDdv+WW2iZS/UdCUmE5ZlZIlBXIcuXXLJOZRyubhZfmKbOHRu2rRGb5Ynotqn2oK5enRoJ2k7IiIiVxEeAISsWcJxqawMv6ZnYl5qKk4WFEp6niP5+Xht4ya8v207RkVFYGJ8PCLrBaOmUrboAZ/798Cc9gv065+DvajiTD//yWKEcdvbMCXNgrbv61C3vQcyBWPWiVzBz0uFp0aG4cW5GQ61n7E4G/Oe7gSVQs43hIiIiIiIiOgarDY73lp8EHa7Y5fniRGh4vM5EbmG3WaFKWk2DBv/B3vJOaf7k/k2EqtLqOJuh0xes9fIci5exNwDqViWkYlSs2OZBm9UYz8/jI+LxdjYaAR7e7vkHERE1U1mF3IbEnm47CNH0XvCpCuvN8+fg4iQVtU6ptqM9XypNrDZ7dh18iR+OZCKPw4fgdVFH6dCTXchW9egsFBoanBdbLupDMZdH8Gw7S3AVOp0f/LgKLGkoypsMDwF507yJMIjxL2f78f+IwUOtZ96Uxju6M1SqCQ9zp1ERJw7iYhcjfecVBUW7ziNNxZlO9Q2rrk/fniiPeRyZqAh9+XJc6f58Hro106F7Vya852pvKDt/gw03aZCpq65QUcmqxXrDx0Wg7j2nnZi0/Z1yGUy9GnVEhPj49C9RXMoanhQHNVOnjx3kvT4zhMREVXywaFb8+bikVtcjAWpaViYmo7zpc4HIl1t/5mz4hGk02FsbAxujY9FE3//GveeydRe0PZ6QcyoJex2EnY9wV75cpa2C5ko/WkIlKGDoBv0PhT1YyQdL1FtJ2QsfG5MBMa/t0fcPVyRr1cfxaCEBqjnX3NLyBIRERERERFVxuUSEz5becShtkL81nNjwhnIReQC1vOZ0K+dBsuhVc53JpNBnTBZrCIh92uEmkr8biQlDQvS0nChtMwl56jv441xsUIWrhg08vN1yTmIiNwRg7mIiIic1NDXF09264pHOncSs3QJu092nzol6XXN1+vxzd59mLl3H/qGtMIdCW3QrXmzGlcDXu7bAF6jvoWm02PQr5kKy9E/nOrPcngtio+sh7rdfdD2fRVyn/qSjZWotgtt6IPbejXFnE0nK2xbarTiw2U5ePvO2CoZGxEREREREZGn+OT3wygsc6wU2dhuTRDZ1M/lYyKqTWylF2DY9ApMid8ANqvT/Slb9oV28AdQNmyDmpqxf9fJU5h7IMWlVUu6NGsqVi3pF9IKKoXCJecgInJnDOYiIiKSiPBAMSS8tXgcungJ81JS8WtGJkpMJsmusfBYtOHIUfEICQrC7QnxuDk6Cj5qNWoSRYM4eN+5DpZDq6Ff+zRsF7Iq35ndJj6Im9J+gbbHc9B0eRIylU7K4RLVWg8MaoXVSedwodBYYds1yecwuktjdGwdVCVjIyIiIiIiInJ3yUcLsGzPWYfaBvqo8MjQEJePiai2sJsNMO7+FIatbwLGIqf7k9cNh27ge1CGD69xm7AFxUYjlmZk4ucDKTiaf9kl5xC+5xgdHYWJbeIQWqeOS85BROQpZHYhfJbIw2UfOYreEyZdeb15/hxEhLSq1jHVZqznS/S3UpMJv2dliw842RcuuuTSeKvVuCU6SgzsahVU84Ik7FYLTPu/hWHjS7CXOX8NZf7NoBvwNlSxE9zqoZpzJ3mqtUl5eGZOukNtW9bzwsLpnaFSyl0+LqodOHcSEXHuJCLiPSd5KrPVhlvf34PDuaUOtX/l1ijc1KnmlmujmsWdn9eFr8bN6QthWP8sbAXHne5P5lUH2j6vQN3+AcgUKtQ0Ry7l46fkA2IgV6nZsSyCNyoiuC5ubxOPEZER4vcdRLWVO8+dVPXc/p1vP3JMudeJvy12yz6JiIiuRXjwmBAfh/FxsUg+mysGda3OOQSz1fl0zVcHjM1JPiAe3Vs0xx0J8ejdsiUU8poRLCFTKKHp+BDUcRNh2DoDxl0fA9bKZzuzF55E2eKJUOz6GLrBH0LZvJuk4yWqbQYm1Mevu89iT05+hW2PnS/Dz5tPYnL/FlUyNiIiIiIiIiJ3NXfLSYcDueJa+GNkh4YuHxNRTWc5tRv6NVNgPbXL+c4UKmg6PwFNzxcg1wWgJrHabNh87BjmJB3AjhMnXXIOlVwuVjm5rU0c2jZq5FYbr4mI3IHbB3Odzs3ziD6JiIiuR3gQadu4kXi80LsXFqWnY15KGs4UOZ+++Wrbj58Qj6b+fmI9+TExMQjQaWvEmyPT+kM38B2oOzwo7poSdk85w3pmL0pmdYcqeiy0A96GIogZHYkq9W9TJsNzt4RjzLu7YbFWnPT3m3VHMbhdAzQMrBlzExEREREREdGNOpuvx9drjjrUVi4Dnh8TDrnwP0RUKdbLx2H44zmY0+ZLcgVV0WP+f025ZpU+LdAbsDg9HXMPpOBUobTfXfyloa8vbo2Pw7jYaNT19nbJOYiIagK3D+YiIiKqaep4e+HBTh1xX4f22HLsuPhgtPXYcUhZ91h40Hp7yzZ8vGMXRkZGYFLbNogIDkZNoAhsCe9xC2Dp/MSfu6hO73GqP3PGIpizl0PT+fEauYuKqCq0qO+NSX2aY/YfFaemN5hseG/pQXx4d3yVjI2IiIiIiIjI3bz7a474fOyI8T2aIqKJn8vHRFQT2Q2FMGx9C8bdHwMWo9P9KRp3+P9qD91Rk2RfuCCWUlyemQ2DxeKSc/Ro0VzcgN6nVc2pKkJE5EoM5iIiIqomwgNL35BW4nGyoADzU9LEjF2X9QbJziE8eC1MSxePDk0a446ENhgQGgKVQgFPp2zWFT737YI5fQH065+FveBE5TuzmmDc8T5Myd9D2+dVqNvfD5lCJeVwiWq8+wa0xOr9eci9XPEctjH1ArZmXEDP6JoRZEpERERERETkqM3pF8TDEcF+ajwytGZl/iGqCnarBaak72DY+BLspY79e7semX9T6Pq/BVXsrZDVkEAki82G9YcOY07yAew7fcYl5/DXanBLdDQmtolDi8BAl5yDiKimqnXBXDZb+Z0O8hrygUtERJ6tWUAApvfqgSe6dcGqgzmYeyAVB3JzJT2H8EAmHPV9fDAxPg4T4mLFLGGeXt5NHTsBqoibYNz9CQxb3wSMxZXuz152CfqVj8K453PoBr0PZeuh4jmIqGI6jQLTbm6NKbNTHbpcby0+iA6hQeLvIyIiIiIiIqoN9EYr3lly0OH2T98cDh9trfsqj8gp5kNroF8zFbYLmc5fSbUPtD2eg6brU5CpdDXinblUVoYFqWn4JSUVecUlLjlHTP16uL1NGwyLaA2dipumiYgqo9bdAZaUlZV77ePl2V9iExFRzaJRKnFzdJR4pJ87JwZ1/Z4lbWrjcyUl+GjHTny+ew+GhodhUkIC4hs2gCeTqbTQ9ngG6oTJMGx6GabEmYDdsVT112K7mI3SucOhbNUPusEfQNGA5eCIHNEnNhjdIutgR9alCtsKGby+WXsUT44M48UlIiIiIiKiWmHmuqMOZbQWdI2og4Ft6rl8TEQ1hfVcGvRrnoblyDrnO5PJoW53r1jFQe7r2Wvnf0nLy8OcpANYcTAHZqtV8v7VCgWGR4SLpRTjGtTnJmkiIifVumCuQ8eOl3vt7+dbbWMhIiK6npj69fHWoAF4tlcPLErLwNwDB3CqsEiyiyY8sC3PzBYP4eFKKME4NLy1GFDmqeQ+9eA14itoOj0K/dppsBxa7VR/lqMbUPxVAtQJd0Pb73XIfRtKNlaimkjIZPfsLeG45e3dMFkqDqj8efNJDGvfEGGNfKpkfERERERERETV5XBuCX7adNKhtmqlXHy+ZsZ4oorZSs6J5RRN+79zaoPvX5QhA/7c4Fs/1uMvv8lqxeqDOWIpxZTcPJeco6m/HybGx2NMbDQCdTUjexkRkTvw3G9rK+n7xUvLvQ5r0bzaxkJEROQIf60W93Zoh8ntErDl2HH8lHwA246fkPTipeadw7TVa/HW5q2YEB8rPnw18PXc4ApFvWj43LEK5kNroV87FbbzGZXvzG6HKWkWTOnzoe3+DDRdp0KmZmZPov/StK4X7u7fAl+vOVrhRbLY7HhjURa+f6w95HKWNCUiIiIiIqKayWaz481F2eJzsCPuHdACzYK5/kR0PXazHsadH8Gw7S3A5Hy5QHlwFHSD3ocybLDHB1IK1TnmpaRifkoaLv6japVUerZogTsS4tGrVUvIPfx6ERG5I7cI5lq8aq1L2v7FYDTiTN45bNy1BylZ2eV+rX1szA33R0REVB0Ucjn6hrQSj6P5+Zh7IAWL0zNRajJJdo58vR5f7t6LmXsTMbh1GO5sm4CERp6bjUoVNkgslWhKng3Dhv/BXnq+8p2ZSsUdXsbEb6Dr/xZUcbdBJpdLOVyiGmNyv+ZYtT8PJy9UvFiUcqwQS/ecxS1dGlfJ2IiIiIiIiIiq2m/7cpF8tMChts2DvXBXvxYuHxORp7LbbDCnz4d+/bOwF55yuj+ZdzC0fV+Duu29kCnc4qvzSks+m4sfk5KxJucQLDbns5T9k49ajTEx0WIpxZZBgZL3T0REf5PZ7XbHtgG4UIMO3avlvHK5HLuXLkAzD/6Smv6UfeQoek+YdOVybJ4/BxEhrXh5qonFYkFBwd8PpgEBAVB6cNk2IndWYjJhWUaWmK3rSH6+S84R36AB7mqXIAZ3qRQKeCq7oQiG7e/AuPMDwGJ0uj9Fo3bQDfoAypa9JBkf506qafbk5OOBL5McauvnpcSy57oiyFft8nFRzcK5k4iIcycREe85yd0VlJpw04xdKCg1O9T+m4fbolPrIJePi8gTn9ctJ7ZDv2YKrGf2Od0XFGpoujwFbc/nINP6w5NLKQrBWz/uT0ZKnmtKKYYEBeGOhDa4KTpSDOgiItfgWiddrVZHVzx2520M5HLA6s1b8f7M2f/6+U0D++Gxu+5wxVtDREQOEh6cbk+Ix21t4rDr5CnMST6AjUeOwiZhrLbwAPjUytV4e8tWccfN+LhY1PHyvDTvMq0fdP3fhKb9/dD/8TzMqb841Z/17H6UfN8bqsiboR34DhR1wiQbK1FNICw8D23XQMzQVZGiMgs+XJ6DN25n1lwiIiIiIiKqWT75/bDDgVxD2jVgIBfRNVjzj8Cw/lmYMxZLcn1UMeOhHfAWFIEtPfZ6Xyorw4LUNLGCx7mSUsn7Fwon9gsNEUspdm3WzONLTxIReZpaGczl7aXDk5Mn4ZFJt1X3UNxeQVERnnn7A5y/dOlfv9axTVy1jImIiP5NeJDq2ryZeJwuLMQvB1KxMC0dBQaDZJdLeCD8cPtOfL5rD0ZGRojZuiKCgz3u7ZAHNIf3mLmwdH7iz11cJ3c41Z85aynMOSug6fgoNL3/B7mO6aWJ/jL1pjBsy7yIYr2lwouyIjEPIzs2QkfuPiYiIiIiIqIaQiituHT3WYfa+miVmDqKmwWJrmbTF8C49U0Yd38KWE1OXxxFk87QDf4QymZdPPZCH7xwET8kJWN5ZpaYlUtq/loNxsXGiBu7m/h7bsYyIiJP5xbBXHGR4f/5a6lZBx1uey1ymRw6rQa+3t5o2bQJ2kRFYGCPbvD2wIwi1eHljz6/ZiAXERG5L+EBa3qvHni8axf8np0tZuvKOn9Bsv6FB8TF6Rni0alpE9zVNgF9Q1pBIZfDkyibdITPPdtgzlwCw7rpsF0+VvnOrGYYd30E04Efoe39EtQdHoJMyXTTRHV8NXhieCjeWJTt0MV4c1E2Fj3TGWqlZ80nRERERERERP9kttoww8HnYcFjw0NQ10/DC0kEwG41w5T4DQybXoG9zPnvKeUBLaAd8DZUMeM8MsOU1WbDpqPH8GNSslihwxUig4NxR9s2GBERDp1K5ZJzEBGRhwVzrZsz6z9/rUGH7g63JWlt2bMPC1as4mUlIvJQWpUSY2NjMCYmGklnz+Kn5BSsyTkEi80m2Tn2nDotHk39/XBHQgLGxkbDV+M5i07Cg7s6egxU4SNg3PM5DFteBwyFle7Prs+HfvWTMO79ArqB70EZMdIjFweIpDS6S2P8tjcXqScq/rd14kIZvv/jOB4Y3IpvAhEREREREXm0X7acwqHcEofaRjfzw5iuTVw+JiJ3Z7fbYclZCf3ap2G7WD7hR6Vo/KDt+QI0nR+HTKWFpyk2GsVN1XOSDuBUYeXXrf+LQibDwLBQTGrbBu0bN+ZaNhGRG3GLYC5yP6V6PZ6e8e6V1+GtWuJ0Xh5Ky/TVOi4iIrpxQjBRu8aNxeNcSQnmp6RhfmoqLpSWSXY5TxUWYcbmLfhkx06MjonGpIQ2aBnkOeUGZUoNtN2mQt3mThg2vwrTvq8AW+VTVNsuHULpvJugaNHrz7TdjdpKOl4iTyKXy/Di+Ajc+v5eWG32CtvP+uM4BrdrgObBzKRLREREREREnin3sgFfrznqUFu5DHhxbAQUwv8Q1WKW3AMwrJkKy7GNzncmV0Dd7n5o+7wCuU89eJrjlwvwU3IyFqdnotTkfHnJfwrS6XBrfJx4NPD1kbx/IiKqBcFcQhARVb23v5yJU2dzxf+Xy+X44IVnMPGJp/lWEBF5uPo+PniiWxc81Lkj1uYcEkswJv//fC+FUrMZPyUfEI/eLVviznYJ6N68mcfs6JF714XXsM+g6fgI9GunwZKzwqn+rMe3oOSb9lDFT4Ku/5uQ+zWWbKxEnqR1I1/c1qsZ5mw6UWFbk+XPMhRfP5TgMXMHERERERER0dXe/fUg9CbHNgqO79EUkU39eAGp1rIVnYVh4/9gSv5eSM3ldH/KsKHQDXoPinpR8LSsZEIJxe/3J2Hz0WNw/kr8W1yD+rgjoQ2GhreGRun2YQJERLWa28/SWxb8VN1DqHX2p6Vj1sIlV17fectNaB8XU61jIiIiaakVCoyIjBCP9LxzYlDX79kHYbZWPhvVP20+dkw8QoKCcFe7BNwUFQmdSgVPoAiOgM/tv8N8ZAP0a6fClpdS+c7sdpgP/AhzxkJouk2Dtts0yDTc7US1z4ODW2Jdch7yCowVtt2Tk4/VSecwtF2DKhkbERERERERkVQ2pZ3HprQLDrUN9lPjkaEhvPhUK9lNpTDu+ACG7e8AZuerSMjrxUA3+AOoQgfCkxjMFizLysKcpGTkXLwkef8quRxDI1pjUkIC4htyrY2IyFO4fTAXVS2T2YynXn8bNptNfN2wXjCef/gBvg1ERDVYTIP6eHfIIEzv2R3zUtIw90AKLpZJV4LxSH4+/rd+A97fth3jY2Nxe0I8Gvl5xm5DVUg/KB/cD9OBH2H44wXYS/Iq35lZD+Pm12Da/y20/d6Eus0kyOQKKYdL5Na8NEo8OyYCT37nWHDk+0tz0D2yDvy8PCMIlIiIiIiIiKjEYMFbiw86fCGevjkcPlp+VUe1i91mgzn1Z+j/eB72ojNO9yfzqQ9t39ehbnu3R6235hYXi2vxC1LTcFlvkLz/ul5emNgmDhPj41DX21vy/omIyLV4h0jlfDx7DnKOHb/y+q3pU+Drww94IqLaQHige6xrZ9zfsT1WHczBj0nJSD93XrL+Cw1GzNyXiFmJ+zG4dRjubt/OI3YCCQsAmrZ3Qx09DoYd78G44z0xMKuy7MW50C+7G6bdn0Ir7BRr1VfS8RK5s94xweKxOb3iHcr5JSZ8tuIwXhgXWSVjIyIiIiIiInLWFyuP4HxhxRmpBV3CgzCwTT1edKpVLMe2QL9mCqy5Sc53ptRC03UqtD2egUzjC0+RkpsnllJck3MIlv9PriGl6Pr1cFfbBJZSJCLycAzmoiuyDh/FZz/8XdZyWN/eGNyrB68QEVEto1EqcXN0lFgWMensWfywPxnrDh2G1W6XpH+hn5UHc8SjXeNGuLtdW/QPDYFCLoc7E0oj6vq+Ck27+6Df8ALMB+Y41Z817wBKf+gHZcRI6Aa+CwQwpT7VDs/eEi6WUdSbKi7runjXGYzo2AhxLfyrZGxERERERERElZV2ohDzt59yqK1aKcdzYyIgk8l4walWsF06hNKNz8OctUyS/lRxt0HXfwbkAc3gCaw2G/44fASz9ydh/5mzkvcvl8kwMCxUDOIS1tw5txAReT4Gc5HIarViyhtvwWyxiK/9fHwwY9qTvDpERLWY8MDXrnFj8ThbVISf/z/ls5BhSyrCg6twNPX3w51tEzAmNgY+ajXcmdy/CbxH/whL58ehXzMV1uNbnOrPkv0binNWQdX+ASD+cUAXJNlYidxRg0AtHh7SCh8sP1RhWyGG9I2FWfhlakcoFe4d8ElERERERES1l9lqw+sLssTnWEfc078FmgV7uXpYRNXPcBnyvR+gLHUWYPvzO0hnKJp1h27Ih1A27gBPUGIyYXFaulgF41RhkeT9+2k0GB8Xg9vbtEFjfz/J+yciourjkcFcqdkHsSMxCQcys3H05CkUFhejuLQURpO5Uv0d3boetd238xchOSPryuv/PfYQ6tetW61jIiIi99HIzw/Te/bAY106Y3lmFn5ISsbhS/mS9S88yL6xaQs+3rEL4+NicWfbNuI53ZmyUTv4TN4Ec/ZyGNZOgy3/cOU7s1lg3vsFFCk/w9ZhCuxx90g5VCK3c2vPpvh9Xy5yzpZU2FZoM3fLKdzZt3mVjI2IiIiIiIjoRv28+aRDz7iClvW8MLl/C15kqtHsVhNkyV+LgVwyY4HT/ckDW0E78F2ookZ7RNYpYXP0nKQDmJ+aJgZ0SS0kKAiT2rbBzVFR8FKrJO+fiIiqn0cFc63YuBmf/fAzUrKyq3soNcqJ02fwztffXXndqU0cbr95ZLWOiYiI3JNOpcKE+Dgx4GrHiZPijqJNR49J1r/wYDsrcT9+2J+Ewa3DcHf7dohv2ADuSlg4UEfeBFXYUBj3fgnjltdg11+ufH/GQii2vwx76vewDHoHipixHrE4QXSjhCxb/xsXiUmf7HNo1/JXq4+gf3w9NK6j48UmIiIiIiIit3L6Yhm+WXPU4fYvjo8UyywS1UR2u13c/KpfOw0KZza//kXrD22vl6Dp9AhkSg3cXWpunlhKcfXBHFgdTdV3A3q1bCFWuOjeorlYWpGIiGoujwjmKjMYMP2t97B41drqHkqN9PSMd6E3GMT/V6tUeP+FZ/jFMRERXZcQYCQ8MArH8cuXxV1GS9IzUGquXJbMfxIedFcezBGPto0aikFdA0JDoJC750KXTKmGtuuTULeZBOOW12Hc87lTacNlRcdhWDQe5j2feVTacKIbEdvCH2O6NMainWcqbGsw28Ryi18+mMD7VCIiIiIiInKrwJU3F2WLz62OuLlzI7QLCXT5uIiqg+XsfuhXT4H1xFbnO5Mroe7wELS9X4Lc270rCVltNmw4chSzE/cj8cxZyfvXKZUYHRONSQltEFInSPL+iYjIPSk94Ub4sZdex8pNW6p7KDXSL8tXYNu+/VdePzF5EsJasIQNERE5rkVgIF7q1wdPde+KxekZmJOULJZNlErS2Vwk/bYCTf39MKltAsbERMNX4567sOReQdAN+UhcaDCsfwbmrGVO9Wc9uR0l33SEKu426PrPgDygmWRjJXIHjw0PxYbUC8gvqTjd/K6D+Vi1Pw/D2jeskrERERERERERVWR10jnxedURQT5qPDUyjBeVahxb4WnoN7wA84E5kvSnjBgJ3cB3oagbDndWajKJG5y/3y+shxdK3n9jPz/ckRCPsbEx8NdqJe+fiIjcm9sHc82ct/BfgVxajRoTRgxDn86dUD+4LgbfeW+5X//j5+9RVFKC03l52Lxrr1ie0XRVppDbbxqBu8aMRm137uJFvPrJ51det27ZAo/ddTuq24X8y7h0+cZKVB07dbrca6vVCoul8hlRyDnCtRfeg6tfE1HNp1MocEd8HCbGxmDzseOYk5yCPafLz8/OEALE3ty0BZ/s2IWxMdG4vU2c+EDrlgJaQTN2EZTHt8K4/mnYcpOd6s6cOhfmzCVQdX4S6m7TIdP4SjZUourkpZZhysgQvPhLlkPt31uag05h/gjwVrt8bOQZeN9JRMS5k4iI95xUXQrLzHjv14MOt586KkR8DuZ6OdUUdlMJTDveh3nXh4BF73R/8gbxUA94D8qWfSAUKHTXfyt5xSX4+UAKFqSlo9hU8QbFG9W+cSNMSohH31atoPz/ShXuei2ISFpc63RPSmX1hFUp3b284mc//lzuZ43q1cPCLz5GaIv/zkwRE/73zoZxw4bgmTP34eH/vYr9aRniz35e9jsa1quHqfdNRm323DsforC45Eq5rPdfmC6WWaxuPyz+FR98+71TfRQXF6OgoECyMdGNEQK5Skr+/Lv1F4VCwctIVIu0qxOEdv374FD+ZSzMysLaI8dgsjmWbr4iJSYTvk9KxpzkA+jdvBlujY5ETHAw3FJAHDBmDWTZiyDf+SZkpbmV78tigHn72zAlzYKt83OwR00E5JxbyfN1aqlGu5a+2H+suMK2BaVmvLskC9NHMpMs/Yn3nUREN45zJxER502Sxvu/n8Tl0r8TCVxPhxBfdGyh5vcWVDPYrJBlzYd81wzIys473Z3duz5sXZ6HJWI8TMJ6p5t+v5d18RLmZWZiw7ETsNqFcDPpqORyDGjZAuOjIhH+/6UUS4qkq35BRJ6Bz+vuqW7d6in3+2c4r5tas3krLub/naFJLpdj1rtvXjeQ61qaN26EJV99ig5xsVd+9t7MWVi3dTtqq983bMKqzX/XrJ40ehQ6xsdV65iIiKjmCQsKxAvdumLp2NG4Jz4OgVrpyiMKD8wbjp/AvSvX4L5Va7Dx+AlYJAoYk5RMDnvkeFgn7Ya187OwK72c667sAhQbp0Axry9kJzdLNkyi6iJsKnhiaBNolDKH2q9LvYz9RysO/CIiIiIiIiJylQPHi7EmxbHyisLz7uODm4jPv0SeTnZqKxTz+0Gx4UmnA7nsSh1sHafBesdut924arXZsOXESTy4ei0mr1iFdUePSxrIJayXC+vmy8aOxks9ul0J5CIiInLrzFw7EsuXJBrSuycSoiMr1ZdWo8HXb76CbmNuhcH4Z8rLFz/4BH27dq62tGjVpaCoCM+/+9GV1w2C6+LFRx+q1jEREVHNVkenw30J8ZgUG4O1R49iXmYWjhUUStZ/2vkL4tHQxxsToiIxIiwUXm6QbbIclRfsHafCGnUb5LvfgixzHmRiwvDKkV3KhGLZWNha9Iet2ytAnXBJh0tUlRoFajCpV0N8u+GsQ+0/XnUK3z4QAa3KrfemEBERERERUQ1kstjw8arTDre/s1dDNAyUboMjUbXIPwT59lcgP77O6a7swqpo5DjYurwA+DSEOyozm7Hy8BEsyMzG6WLpNxW2DPDHrVGRGNSqFTRK9wtiIyKi6ufWUUzJmZnlXo/s38eh32e326+5w6Fxg/oYN3wo5ixZJr4+eTYXu5NT0L1DO9QmL334GS7k/71jZMa0p+Dr4w13cdeY0RjRz7H3+i/HTp3G5GnPX3nt6+uLgIAAF4yOHPHP2t3+/v61LmiSiP7bpLp1cEeH9th+4iR+TD4g/lcquSWl+GhvImanpGFCXCxuaxOHet7u8xknEj6fxvwIa95TMK2bDuvxTU51Jz/+B+QnNkHZ7l6oe70EuXc9yYZKVJXuGeiHLVlFyDlbvlTzteQWmLBo72U8NiykSsZG7ov3nUREnDuJiHjPSVXtm7XHcDrf6FDb1o18cPfAUCgV3IxEnsledhGmLa/DnPgNYLc63Z+ieS+oB74LRcO2cEcXSkvx84FUzE9NQ6HRsX/nN6Jbs2a4q20bdG/ejNn6iOhfuNZJV3Pr6IqL+eVrIsdHRjj0+0xmMzRq9TV/bWCPbleCuQRCqcHaFMy1Zc8+LFy5+srrob17YmifXnAnwUGB4uEMhULB4KFqJrwHfxECuRjMRUT/1Cc0RDxyLlzE90nJWJ6ZBZPV+QUBgfCg/c2+RMxOSsaoyAjc074dwurWcas3QdmkPdSTN8BycAX066bBdvFg5TuzW2FJ/AaWtHnQ9nwems5PQKbSSjlcIpcT4r5fnhCFOz7aC5sDSet+3nIaQ9o1QkQTX747tRzvO4mIOHcSEfGek6rK0bxSfL/RsY2Jchnw0oRIaDXX/r6KyJ3ZLUYYd38Gw9Y3AIPzFRZkQWHwGvQelBEj3TKI6fClS5iVmIRlmVkwS7RG/ReVQiGuUU9u1xbhwXUl7ZuIah6udZJHBHMV/iNtZfB/1AlWKZUwX5UJyGT672Cu2PCwcq+T0stn/6rJhCC3p2e8e+W1r7c3ZkyfUq1jIiIiah1cF28NGoCnu3fD3JQU/Jycgny9XpILIzx4L07PEI8+rVri3g7t0bFJY7dZMBDGoYoYAWXYYOj3fAnj5tcgM/ydPfOGGYtgWP8sjPu+gm7AO1DFjHObPyuRI6Kb+WFiz2b4eUvFC+NWmx2vLcjCT091gEJYISciIiIiIiJyIZvNjtcXZsFidWAHEoAJPZoippk/3xPyKEL1I3PmEhjWTYft8jHn+9MEwNZpGvx6PAmVxgvu9mfdd/oMvt2XiE1Hnf+z/lOgTidWjri9TTzqulv1CCIicntuHcz1z+8eNSrVNdv5eHvhcmHRldf5BQX/WTYw0L/8jfPFy5dRWxSXluLU2dwrr4Uvd2974mmHf39JWVm518vXb8TeA6nlfvbcIw+gf7cuEoyWiIhqmzreXni8axc80LEDlmdlY3bifhy+5ERg0z8ID+TCEdegvpipa1DrMCjl7pHiXqZQQd3xEZQ1Hw75vo8gOzATMpu50v3ZC06gbNEEKHZ9DN3gD6Fsxs9m8hwPD22FDannkXvZUGHbzFNFmLf1FG7v3axKxkZERERERES119I9Z5F8tHxFmf9SP0CDR4aGuHxMRFKynN4L/ZopsJ7c4XxnchVscffA1nEKoA2ETOE+GeqsNhvWHjqM7/YlIjXvnOT9hwQFYXL7trgpMhJalVt/FU9ERG7MrT9B/Hx8YTBeKhdMFODn9692Qoapq4O58i5eRPMmja/Zp+UfqTEv5kv3JbGnKSopQcahw5X+/ULQnHBcreCq94GIiKgyNEolxsXGYGxMNLafOCkGdW07fkKyiyk8oD+xYhWa+vuJqa1viYmG939k9KxyGn/Yur8CxNwJzb53YM1a4lR31tO7UfJdV6hixkM74G0oAltINlQiV/HSKPHC2Ag8OvOAQ+2/WHUEfeOC0ShIxzeFiIiIiIiIXOJikREfLT/kcPvnxkTAW+vWX8ERXWErOAn9H8/BnPqLJFdFFXkzVH3fRJEi2K2ucpnJLFZw+H7/fpxywfeZ3Zo3w93t2qJHyxaQs1oCERE5ya3vJJs2aoDzl/4O5sovKLxmMFerZk1x8qqMUwePHkOnNvHX7PPkmbPlXsvlCknHTERERNIQMkj2aNFcPHIuXMT3SclYnpkF0z8CsytLeGB/beNmfLJzFybGx2NS2zYIdpd01wEtoRs7Hziz+8/dcGf2OdWdOX0BzNnLoOn8JLQ9n4NMyxT/5N66R9XF4Lb1sSap4t2RepMVMxZn47P72rCsKBEREREREbnEu7/moMRgcaht//h66B3jXkEsRNdiNxbDsO1tGHd+CFgqzpBeEUWjdn9WCWjRExaLBfhHQojqcrG0FD8lp2DugRQUGJz/c15NpVBgVGQE7mqXgIhg/rsnIiLpuEdtof8QGdKq3GshSOtawlu1LPd6R2Lyf/a5fd/+cq/rBAY4NUYiIiJyvdbBdfHWoAHYdv+9eLxrZwTppMvAU2gw4qs9e9Fz5iw8t3Y9Dl8VSF7dlM27w+e+3fAaMxcy/6bOdWYxwrj9HRR9Egbjvq9htzq2AElUXabd3Bp+Xo7tPdmeeQnrkqVPi09ERERERES0Ke081h1w7JnTR6vA9NHhvGjk1oR1QWPiTBR9HArj1hlOB3LJ/BrDa/Qc+Ny/VwzkchdH8/Px4ro/xHXfL3bvkTSQK1CnxaOdO2Hr/ffg7cEDGchFRES1KzNXh/g4/Lzs9yuvU7NzMKT3v28CenRsj29+WXDl9bqt23HizFk0b9yoXLtSvR5fX9VOEBdRe26qA3x98cfP31f694+6/2GUlun/fj2gHx678/ZybZo0rO/UGImIiK6njrcXHu/aBQ907IDfsrIxOzEJhyQKvjJbrViUli4efVq1xH0d2qNDk8bVnulHJpdDHTdRTE9u3PkRDNveAkwlle7PXnoB+t8fgnH3Z9ANeh/KsMHV/mckupY6vhpMGdUar8zLdOgCvfNrDjqH14G/t4oXlIiIiIiIiCRRrLdgxuKDDrd/bHgo6vlrePXJbZkPr4N+zVTYzqc735naG9ruz0LTdQpkai+4A7vdjv1nzuK7xP3YcPgI7BL3HxIUhMntEnBTVBS0Krf+mp2IiDycW3/K9O3SSfxyUfjgFWzYsRPPPHjvv9r16tQBAX6+KCgqFl/rjUZMmvIMvnjtJcSEh4k/E8owPvHqmzidm1fu9/br1hm1hUKhuHI9KvX7/1GSMijA36n+iIiIKkujVGJsbAzGxERj6/ETmLUvETtPnpLsgm46ekw84hrUx70d2mNgWCiU8upNaCpT6aDt9TzUbe+GYdPLMO3/DrDbKt2f7UImSn8eCmXIQOgGvw9F/VhJx0skhVEdG2JlYi72HbpcYdv8EhM+/v0QXp4QxYtPREREREREkvj4t0O4UGh0qG1cC3+M7dqEV57ckvV8BvRrnobl8BrnO5PJoE64G9p+r0Pu2xDuwGqz4Y/DR/Dtvv04kJsref9dmjXFPe3boWfLFpBzYywREdX2YK7gOkHoGB+LPQdSr2TmOnH6DJo3aVyunUqpxEO334q3vpxZriRj/9sno0FwXahVKpzKzbsSFPaX+nXr4JbBA6voT0NERERSE4K+e7VsIR4Z585jVuJ+rMw+COs/PvMrKzXvHB7/fSWa+vthcru2GBMTAy919Wb9kfs2gNfIb6Dp9Ki4i85yZL1T/VmOrEPxl22gbnsPtH1fE/sncqd/4y+Oi8TYd3bDZKk4eHHp7rMY2q4BOoQFVcn4iIiIiIiIqObadygfS3adcaitUi7DS+MjIZcz+zm5F1vJ+T83hibOdGpj6F+UrfpBN/gDKBrEwx3ozWb8mpEpVnA4UVAgad8KmQzDIsJxd/u2iKnPykRERFS1qjfFhANuHTm83OvvFiy+ZrsHJo5HZGjIv36ed+GimJXrn4FcwhdDH7/0PDRqtcQjJiIiouoQXb8ePhw2BJvuu1sMvPJWSRd0daqwCK9t3IyeM7/DJzt2If+qssPVRcik5T1pLbxvXwV5sJOZiOw2mPZ/i6JPwmDYMgN2c/X/+Yj+0jzYC/cPaunwBXl9YTYMJisvIBEREREREVWa8Fz52oIsh9tP6tscoQ19eMXJbdjNBhi2vo2iT0Jh2ve104Fc8roR8L5tBbzvXO8WgVzC+qywTttz5iy8/MdGSQO5hHVlYX154713i+vNDOQiIqLq4NaZuQQjB/RF/lUfwD7e1665rNVosOCzDzHu0aeQfeTodfsUMnl9+L9n0adLJ8nHS0RERNWrkZ8fXujTC4916YT5qWn4MSkZ50pKJem7wGDAZ7t249t9iRgXGyOm1m7s74fqIgSnq1oPgTJkAExJ38Gw8SXYSy9UvkNTCQwbXoAx8Wvo+r8FVeytkFVzeUkiwZ19m2NNUh4O51b8b/nkhTJ8s/YonhjBcuBERERERERUOV+vOYpTF/UOb0J64AY2IRG5kpDcwpy+APr1z8JecMLp/mRedaDt8yrU7e+HTFG9FQsEZwqLxOoMC9PSYbBYJO27nrc3JrVtg1vj4+Cv1UraNxERUY0L5vLSavHwHRMdaluvbh2s+2kWvvllAeb9tgJHT54u9+s6jQb9unfBtPvvQXgr3lgTERHVZH5aLe7v2AF3tWuLFVnZ+C5xP3IuXpKkb2GhYE7yAcw9kILhkeG4v0MHhAfXRXWRKZTQdHgQ6thbYdj6Foy7PwYsxkr3Zy88hbIlt0Ox+xPoBn8IZfPuko6X6EapFHK8PD4Kkz7ZB0eqqM7ZdBID2tRHVNPqC7YkIiIiIiIiz5R5qghzNjkeBPPyhEhoVAqXjonIEZaTu6BfMwXW07udv2AKNTSdn4Cm5/OQ6wKq/Q04eOEivtm7DyuzD8LqyOLQDQitE4R727fHiMhwaJRu/9U5ERHVEjXuE0mtUuGxO28Xj1O5ecg7fwFlBgOCAvwR2rw5dFpNdQ+RiIiIqpBaocDomGjcHB2FrcdPYNa+ROw8eUqSvoWFg+WZ2eLRu2VL3N+xPTo0aSxmzKoOMq0/dAPfhrrDgzD88RzMafOd6s96Zh9KZvWAKnoMtAPehiLo3yWtiapKbAt/TOjeFPO2Vfzv12qz45V5mZg7taMYCEZERERERETkCLPVJj5P2hyMFRnXvQnahgTy4lK1sl4+BsP658SMXFJQRY/9/7XAVqjuLGOJZ87gmz2J2HzsmOT9d2raBPd1aI+eLVtAXk3ruURERLUmmOtqTRs2EA8iIiIiIcCqV8sW4pF+7hxmJyZJupNLWFAQjjYNG+KBju3RLzSk2hYBFIEt4D12HiydHpdkN545YzHM2cuh6fQ4NL1edIvdeFQ7PTosBBvTzuNcQcWZ53LOluCHDcdx38DqXXgkIiIiIiIiz/HjxhPi86Qj6gdo8PjwUJePiei/2A2FMGydAeOujwGryekLpWjc8f+z9Her1otus9ux8chRMRNX8tlcSfsW1muHtA7DvR3aIbYBv0MmIiL3JbMLYc1EDsg6fARWq+3K6zqBAWhYL9gtrl32kaPoPWHSldeb589BRAi/uKsuFosFBQUFV14HBARAydS0ROSGzhQW4YekZCxMTUOp2Sxp3yFBQeLOrpFREWJ2sOqaO4VbPXP6QhjWPwtbwXGn+5N51YG2zytQt38AMoXK6f6IbtSW9At44rsUh9qqFDLMn9YJIQ18eKFrKN53EhFx7iQi4j0nSeXYuVKMf28PTJa/vwe5nk/va4Oe0XX5BlCVs1stMO2fCcPGl2Evu+h0fzL/ZtANeBuqmPGQyeXV9rxuslqxIisbM/cl4vClfEhJp1RiXFwM7mrbFk0D/CXtm4hIKlzrpKsxmItqBAZzuRd+0BCRpykyGDAvJQ0/JiXjfGmppH3X9/HB3e3bYnxcLHzU6mqbO+1mA4y7P4Vh65uAscjp/uR1w6Eb+B6U4cOrrawk1V7P/JiGtcnnHGob19wf3z/RHgo5/57WRLzvJCLi3ElExHtOkoLNZsc9n+9H8tG/12auZ0i7BnjrjhhefKpSwqZNy6HV0K99GrYLWc53qPGFtsfz0HR5AjKVDtX1vF5qMmFBajpm79+PvGLHMuM5qq6XFya1TcDE+DgE6LSS9k1EJDWudVKtKbNIRERE5Ag/rRYPdOqAye3b4vesbHy3bz8OXbokycU7V1KCtzZvxRe79uD2hHjcmZCAOt5eVf7GyFRaaHtMhzrhLhg2vSLu3oPNWun+bBcPovSXkVC27Avt4A+gbNhG0vESXc8zt4RjT04+CkorzqiXeqIQ87aewu29m/GiEhERERER0TUt2nna4UCuAG8Vpt3cmleSqpQ1L1UM4rIcWe98ZzI51O3ug7bvq5D71Ed1uVRWhp+SDuCnAwdQaDBKXjVB2GB7U1QkNKwcQ0REHojBXERERET/TyiHeEtMNEZHR2Hr8RP4dm8idp86Jcn1KTIa8eXuvZiVuB+3REfj3g7t0CwgoMqvvdynHrxGfAlNp0ehXzsNlkOrnOrPcmwjSr5uC3Wbu6Dt9wbkfo0kGyvRfwnyUWP66HA8/1O6Qxfp81WH0TumLprUrfpASiIiIiIiInJvuZcN+OT3ww63F55HhedSoqpgK86DYeP/YEqaDdgdKwF6PcrQQdANeh+K+tWXWe50YSFmJSZhUVo6DBaLpH13aNJYXHft06oV5KwmQEREHozBXERERET/IJQN7NWyhXik5ubhm737sO7QYdgluFJGixW/pKRifmoahrQOw/0dOyC6fr0qfw8U9aLgc8dKmA+vh37tVNjOpVW+M7sdpuTvYUpfAG33Z6DpNhUytbeUwyX6lyFt62NNUh62Zlys8OoYTDa8vjAbXz+UwLKgREREREREVK5s3RsLs1BmdCx7efeoOuLzKJGr2c16GHd+CMO2twBTqdP9yetFi0FcqrDBqC7ZFy5g5t5ErMw+CKtdipXWP8kADAwLxX0d26NNw4aS9UtERFSd3D6Yq1XPAZL3qZDL4ePtBV9vbwT4+SK8VUvEhLdG+9hoRLcOk/x8RERE5LniGjbAF6NG4Fj+ZXy7LxFLM7Ngtla+POFfbHY7Vh7MEY/uLZrj3nYJCPfxqfJAE1XoAChbJYvBWIYNL8Jecq7ynZnLYNj0Moz7Z0LXfwZUcbdDJpdLOVyiK4R/Ky+MjUDSkV0oMVT8b1Ioy7h091mM7tKYV5GIiIiIiIhEq/bnYUfWJYeuhpdGgRfHRnKTELmU3WaDOe0X6P94HvZC5ysGyLyDoe37OtRt74FMoayWgMkD585j/uat2HL8hKR9qxQK3BwVKWbiahUUJGnfRERE1U1mFz5F3ViDDt2r9HzRYaGYeNMITBo9CirWUPYY2UeOoveESVdeb54/BxEhrap1TLWZxWJBQUHBldcBAQFQ8t8TEdUQ50pK8OP+ZMxNSUWpySRp39F16+LOuBh0b9oEQYGBVT532o3FMGx7B8adHwAWg9P9KRq2hXbwB1C17C3J+IiuZfHO03hjYbZDF8dHq8CSZ7ugfoCWF7OG4H0nERHnTiIi3nNSZeWXmDD6rV0oKDU71P65MeEY370pLzi5jOX4NujXTIH1bKLznSk10HSZAm2PZyHT+qGqmcxmrEhLx09pGUi7cEHSvr3VakyMj8Vd7dqivo+PpH0TEVUnrnXS1RjM9R+iwkLw8UvPIy4i/L+akBthMJd74QcNEdUGRQaDWC7xh/3JuFhWJmnfIQEBeLBzR4yIioSyGjJb2QpOirv/zKlzJelPFXkTtAPfhaIOM6CS9IS9Kfd/mYR9hy471L53TF18dE88d1LXELzvJCLi3ElExHtOqqxn56RhTZJjGcoTWgVg1qPtIJdXbUZ1qh2s+UdgWPcMzJlLJOlPFXsrdAPegjygOaqaxWbDqoM5+Gr3Xhy65FjWO0fV8fLCXe0ScFt8HPy03KhHRDUP1zrpagzmug6dVovFX36MdrEx12tGboDBXO6FHzREVJsYLRYszcjEt/v248RVWQml0NTfHw90bI+bo6OgqYYMh5Yz+6BfPQXWk9ud70yuhLrjI9D2fglyL6Y9J2mduliGse/shsFsc6j925NiMLhtA74NNQDvO4mIOHcSEfGekypja8YFPP5tikNt1Uo5Fk7rhBb1vXmxSVI2/WUYt7wB457PAKtjGeKuR9G0K3SDP4SyaSdU1xrpN3sTcaqwUPI10vs6tMPo6GhoVVW/RkpEVFW41kkeFcyVdfiosN8eX/z0CxavWlvu1xrWC8agnt0RFxmOpg0awNfHBzIZUFxSilO5eUjNPoi1W7bj7Pnz5X7fmKGD8MDE8SgsLsGFS5dwIDMbf2zfiSMn/117OtDfD+t/no0mDfhljztjMJd74QcNEdVGVpsNaw8dxsy9+5B+rvy9h7Pq+3jj7vbtMCEuVkwjXpWEW0Vz5q8wrJsO22Xhvsw5Ml0gNL1egqbjw5Apq/bPQjXbT5tO4IPlhxxqG+itwq/PdUGgD/8OejredxIRce4kIuI9J92oojIzbnlnNy4UGh1q/+iwENw7oCUvNEnGbjXDtO8rGDa9Crs+3+n+5AEtxKz4qugxVZ6JvMxkxvzUNMxKTMS5klJJ+46qV0/c6DqodVi1VC8gIqpqXOskjwrmEjz95jv4ednv5YK4Xn3qMQzv2xvyCj68bTYbVmzcjJc/+gy55/+uyTxp9Ci8+9y0K6+Fy7Bu6w488877yLtwsVwf44YNwaevvCDpn4mkxWAu98IPGiKqzYR7il0nT+Gbvfuw48RJSfsO0GpxZ9sE3JHQBgG6qk0lbrcYYdzzBQxbXgMMzu+ukweF/rnIFHkTy92RJKw2O+78eB/STxY51H5IuwZ46w5m4PV0vO8kIuLcSUTEe066US/9koHf9uY61LZ1Ix/MndoRKgUDSUiadUPLwd+hXzsNtks5zneo8YO214vQdHoMMlXVrhUWGgz4KfkAfkxKxmW9QdK+uzRrigc6dkC35s24bkhEtQrXOsmjgrm+W7AYL77/8ZXXseGtseDzjxAU4H9D/eQXFGLcI08iPefv3fpvTZ+CyWNHl2t3If8yRtzzII6fPnPlZ0LA2K4l89C8SWOn/izkOgzmci/8oCEi+lN63jnM3JeINTmHYJPwlstbpcLENnGY3K4t6vn4VOnltpVehGHza+LuQdgsTvenaN4TuiEfQtmonSTjo9rtcG4JJry/BxarY//ePr0vHj2jg10+LnId3ncSEXHuJCJyNd5z1izbMy/i0ZkHHGorlwE/T+mIqKZ+Lh8X1XyW3GQY1kyF5dgm5zuTK6Bu/yC0fV6G3Ltq1zUulpZi9v4kzD2QilKTSbJ+hXxiA8NCxSCuuIaslkREtRPvO8ljgrmKSkrQdvholJSWia99vL2wfdEvaBBct1L9CRm3uo+deKU/Px8fJK/8Fd5eXuXaZR46jP633y1m9frLm9Oewj3jbnHqz0Ouw2Au98IPGiKi8o5fLsDsxP1YnJ4Bk9Uq2eVRKxQYExON+zq0R9MbDHR3lvXiQejXTYcl+zdJ+lO1mQRdvzch928iSX9Ue32z5ii+WuNYSdB6/hosebYLfHVKl4+LXIP3nUREnDuJiFyN95w1R7Heglve3oXzDpZXvKtvczw5Mszl46KazVZ0FoYNL8J04AchNZfT/SlbD4Nu0HtQBEeiKp0pLMK3+xKxKD0dRot065sqhQI3R0WK65stgwIl65eIyBPxvpOu5tZ5YVdv3nYl8Epw7/gxlQ7kEgi/9+qALCFYbM2W7f9qFxUWiqF9epb72fZ9iZU+LxEREdVuLQID8NqAfth6/z14sFMH+Go0kvQrBIb9kpKK/rO+x9Or1uDQxUuoKoq64fCZuBzed22AokEbp/szH5iDok9bQ7/hJdiNJZKMkWqnu/u3QFhDxzLWCQv4H/32d+ZeIiIiIiIiqrk+XJ7jcCBX07o6PDi4lcvHRDWX3VQKw6ZXUfRJGEzJ3zsdyCWvHwfvO9fD5/YVVRrIdeRSPqavXot+s77HzwdSJAvk8larcX+H9th8392YMWgAA7mIiIg8K5hra7nXg3uVD7CqjH/2sXLj5mu2G/KPdodPnHL63ERERFS71fX2xtM9uotBXc/26oFg7/LZQSvLardjWWYWhvwwBw8v/x2puXmoKqpWfeHzYCJ0N82GzLehc52Z9TBueV1c5DImzYbdJt0uP6o9VEo5Xr41UiyH4Yhfd53BroNVFwhJREREREREVW9n1iUs3X3WobYyGfDqrVHQqhUuHxfVPHabDcbkH1D0SWsYNr0CmP9OWlEZMp8G0I36Dr4PJUEV0h9VJf3cOTz62woM/v5H/JqRCctV1YycUdfLC0/36IZt99+D6b16oL6PYxvyiIiIahu3ridy5GT5AKqWTRs73WeLJo2ve46/tI2JKvf6cmGh0+cmIiIiEgiZue7t0B53JLQRF0Nm7t2HU4VFklycdYcOi0e35s3wUKeO6NS0CWTCKqQLyeQKaNpOhjp6LAw73odxx7tiYFZl2UvyoF92D4y7PoFu8IdQhfSTdLxU88U088cdfZrjx40nHGr/6rxMLH62C3y0bv14RERERERERJVQYrDg1QWZDref0KMp2oaw3BvdOPPRTTCsnQprbrLzl0+lg6br09B2nw6ZpuoCnhJPn8GXu/di6/Hjkvbb2M8P93dsjzEx0dAouf5CRERUEbf+tLxwqfwOea0EJYl02vJ9nP/HOf5SJzCg3OvComKnz01ERER0NWHh4tb4OIyNjcFvGZn4as9eHCuQJoB8x4mT4pHQqCEe6dwJvVq2cH1Ql8YHur6vQNP+Puj/eAHmlDlOpZC3nUtF6Y/9oWw9HLpB70ERHCHpeKlme2hwK2xKu4CTFyreAZtXYMSHyw/hpfFVV6aAiIiIiIiIqsZHyw/hXIFj5RWb1NHh8WGhLh8T1SzWiznQr5sOS/ZySfpTxd8BXf83Ifdviqpgt9ux9fgJfL1nL/adPiNp3y0D/DEpNgZjE9pAq1ZL2jcREVFN5tbBXHpD+Zvr85fy0bRhA6f6FPoofw7DNdvptNpyrzUa3mAQERGRayjlcoyMjED3BvWx7eQp/JiWjsyL0pR9Sz6bi3t/XYaY+vXEoK5+oSGQuzioS+7XGN6jf4Cl8+MwrJkKy/Frl7V2lCVnBYoPr4a6/YPQ9nkFcu+6ko2Vai6hHMbLEyJxz2f7HS632D++HrpG1HH52IiIiIiIiKhq7D54CUt2OR6c8sqtUdBpWF6RHGMruwTD5tdg2vslYLM4fdkUzXuIWeqVjdtXyVtgs9ux4fARfLF7D9LPnZe0b2Et8vaoSPRs1lRcixTWP4mIiMhxbv3JGVwnqNzrnfudT0v6zz6C61z7y5qCf2Ti8mfNZiIiInIxYWGjV/NmmDVsCGaPHoUuzaTbfScsyDy0/HeM+PFnrMw+CKvNBldTNmoL78kb4X3rMsjrhDnXmc0K094vUPRJKAzb34fd4tiOWqrd2oUEYmy3Jg63f21+Jor1zi++EhERERERUfUrFcorzs9yuP347k3QPpTlFalidosJhp0fofjjUJh2f+p0IJc8KAReE5bA5+4tVRLIJawLCuuDwjqhsF4oZSBXp6ZN8MOY0Vg0YRx6N2/m8k2lRERENZVbB3O1bNK43OsflywVU31WlvB75/y67Lrn+Mvp3Lxyr0OaN6v0eYmIiIhuhFAOsWuzZvhp3BgsmjgB/UJaSXYBD168iCdWrMLQH37C0oxMWFwc1CX8WVSRo+D7SDp0Qz+BTOfkoqihEIZ101D8WSRMGYudujek2uHJEaFoGFg+6+71yy3muHxMRERERERE5Hof/3YIuZevXZ3lnxoFafHECJZXpOsT1qFMmb+i+PMoGNZMgd1Q4NQlk2kDoB38IXwfzYQ6arS4juZKwjrgsswscV1QWB8U1gml0qdVSyy8dTzmjh+L7i2au/zPQkREVNO5dTDX4N49y71OSs/E53PmVrq/z374Weyj3Dl69bhm2wOZ5XdrxIS3rvR5iYiIiCoroVFDfHPzKKy88w6xFKNUu9mO5Odj2uq1GDj7ByxMS4fJanXpmyRTqqHp/Dh8nzgMTZenAIXKqf5sl4+hbMFYlMzqAcvpvZKNk2oeb60Sr94a5XD7pbvPYkeWdIuZREREREREVPX25uRj0c4bKK84IQpeGqVLx0SezXImESWze6Fs/i2w5R9xrjO5EurOT8D3ycPQdn1KXDdzJWHdb1FaurgO+PSqNeK6oBSEVcph4a3x26Tb8O3om9C2cSNJ+iUiIiI3D+Ya2b8vfLy9yv3szc+/Fg+jyeRwP0Jb4ffM+PKbcj8X+h45oO81f88fO3aVe923a+cbGjsRERGRlMKD6+LDYUOw7u67MD4uBiq5NLdxJwsK8fza9ej/3ff4OTkFRotrS8zJvYKgG/LnjkNV1Gin+7Oe3IGSmZ1Quvg22ApOSjJGqnk6tg66sXKLC7JYbpGIiIiIiMhDlRkteGV++Y391yM8LwrPjUTXYis8hdIlk1DyTQdYT2xz+iIpI0bB99EMeA39GHKvOi696MI639wDKeK633Nr14vrgFJQyuUYExMtrlN+MmIYourVk6RfIiIi8pBgruCgQDz70P3/+vlnP/6MHmNvw2c//ITDx09es7yO8DPh14Q2Ytsff/5Xm+cefgB1A/9d6udSQQG27tl31TiC0CUhXpI/ExEREZEzWgQG4M2BA7Dpvntwd7u20Cml2TV6trgYr2zYiD7fzsbsxCTozWaXvlGKOqHwnrAEPndvgaJRO6f7M6f+gqJPw6Ff/zzshiJJxkg1y1MjQ8WyGY44V2DEB8tYbpGIiIiIiMgTffL7YZzNd6y8YsNALZ5keUW6BruxBPoN/0PRJ61hTvnJ6WukaJgA78mb4DNxGRR1XVsNyGC24MekZPT97nu8/MdGcd1PClqlEne2bYON907G24MHomXQv79jJSIiImnI7NeKhHIjNpsNj7z0Gpau/eM/23h76dC4fn34+nhDBhmKSkpw9vx5lJSW/efvuXlQf3zx2kuQXyOrxVtffoNPvv/7xuyFRx7AY3fdIcGfhlwl+8hR9J4w6crrzfPnICKkFS94NbFYLCgo+LtWfEBAAJQSBRsQEdVUlZ0788v0mJOcjDlJB1BkNEo2niCdDve0b4fbEuLho3Ztqne7zQZz6lzo/3gO9iLHSyD8F5l3PWj7vQ51wt2QKfj5Q3/bdygf932R5PAl+fz+NugeVZeX0I3xvpOIiHMnERHvOcmZ576vH0pA53DXZkciz2K3WWFK/gGGDS/CXpLndH8y30bQ9Z8BVfwdkEmUaf+/lJpMmJeSiu/27cfFsv/+jvRGCWuDtyfEY3Lbtqjzj4pK/4XP60REN45zJ3lUMJfAarVi2lvv4ZflKyTpb+Ko4Xj/+enXDOQSfLdgMYpLSq68vnf8WDFQjNwXg7ncCz9oiIiqfu4sNhoxPyUNsxKlXawJ0GpxV7sETEpoAz+tY1mNKstuKoNx54cwbH8bMJU63Z+8XjR0gz6AKmyQJOOjmmHG4mws3H7aobb1/DVY/Exn+HmpXD4uqhzedxIRce4kInI13nN6Dr3RirHv7sbpS3qH2t/SpTH+Nz7S5eMiz2E+8gf0a6bCdi7V+c5UXtB2nw5Nt6chU7v2O0ZhXfCn5AP4fn8SLusdy0rniECdDpPbtcXtbeJueF2QcycR0Y3j3EkeF8z1l7VbtuPZdz9A7vkLlfr9DesF4+3pUzGoV3fJx0bVi8Fc7oUfNERE1Td3CmnUF6al4Zu9iTh3VXC6FDvwJrVtIy7gCAs5rmQrzoVhw/9gSp4t1M52uj9l6GDoBr8PRb1oScZHnq3MaMHYd/fgjIOL+6M6NsSrE/l3x13xvpOIiHMnERHvOekv7/x6EPO2nnLogjQI0GDxs13go2VGbwKsF7KgXzsNlpyVzl8OmQzqNndC2+8NyP0au/TyFugN+CEpSfKM/fV9fHBvh3YYHxsLL3XlNrjxeZ2IiHMn1aJgLoHJbMaqTVvELF17DqTCaDJdt71GrUbH+FgxG9ewvr2hVnFXfU3EYC73wpt0IqLqnzuNFguWZmTi6z37cLqoSLK3xEulwm1t4sQSjHW9Xbur0JqXIu6GtBzd4HxnMjnU7e+Hts+rkPvUk2J4VIvKbnx2fxv0YLlFt8T7TiIizp1ERLznpMo85335YAK6RrC8Ym1nK70Aw6ZXYUr8GrBZne5P2bIPtIM/gLJhAlzpUlkZZicm4ecDKWJpRak09vPDAx3b45aYaGicWJcU8HmdiIhzJ9WyYK5/BnZl5BzGoePHUVBYjMKSYvHn/j6+8PfzReuWLRDdOpQBXLUAg7ncC2/SiYjcZ+40W634LSsbX+3Zi+OX/+7fWVqlEhPj43Bfx/YIdmFQl3CraslZBf3ap2G7mO18hxpfaHs8D02XJyFTubZsJLm3t5dkY/42x8otBvtrsITlFt0S7zuJiDh3EhHxnpNKDUIG5t04m+9YebmbOzfCyxOieOFqMbvFCOPuT2HY8gZgdH4TpLxOa+gGvQdl+AjIZDK4yoXSUny7NxHzUlKht1gk67dZgD8e6tQRN0VFQqVQSNInn9eJiDh3knM8On+skGUrITpSPIiIiIjo34QFGGE3nbAYs/JgDr7cvQeHL+U7fakMFgtm70/CLympuDU+Dve7KKhLWABThQ+DMnQgTPu/hWHjS7CXXap8h8ZiGP54DsbEr6Eb8DZUMeNdushG7uuJ4WHYnnkJpx0ot3ih0Ij3l+XgNZZbJCIiIiIicjsfLj/kcCBX/QANpoxq7fIxkXsSNg2aMxbDsP4Z2C4fc7o/mS4I2j6vQN3hQcgUKpcGcc3cm4hfUlJgtDifQewvIUFBeKhzRwyPCIdSLpesXyIiIqrlwVxERERE5BiFXI6RkRHi4sy6Q4fxxa49yLpwQZKgru/FoK6UP4O6OrRHPR8fyd8WYUFM0/FhqGInwrh1Boy7PwGslU8jby84gbJFt0Kx6xPoBn8IZbMuko6X3J9Oo8Art0bh3s/3O9T+t7256B9fHz2j67p8bEREREREROSYHVkXsWTXGYcv1//GRcJXx6/GaiPLqT3Qr5kC66mdzncmrFN1egyaXi9CrguEpwVxhdeti0e6dMKgsFBxzZCIiIjcD+9YiYiIiGoRuUyGwa3DxMWajUePikFdqXnnnO5XWFD6YX+ymObdlUFdcl0AdIPeFXc8GtY/C3PGIqf6s57ejZLvukIVMw7aAW9DEdhSsrGS+2sfGohbezTFvG2nHGr/+sIsllskIiIiIiJyE0VlZrwyP8vh9qM6NkT3KG7QqW1sBSegX/8czGnzJOlPFXULtAPfgSIoBK5yvqQEM/f9WU5RyiCumPr18EiXzugX0kpcIyQiIiL3xWAuIiIiolpIKC3YLyQEfVu1wvYTJ/HFrt1IPHNW2qCuuD/LL7oiqEsR1Are4xfCcmLHn7sqz+x1qj9z+kKYs5ZB0/kJaHu9AJnWX7Kxknt7fHgotmddxKmLjpVbfPfXg3jj9pgqGRsRERERERH9t3d+PSg+pzminr8GU29iecXaxG4ogmHbWzDu+giwOPb35HoUjdr/md29RQ94WhBXQqOGeLRzJ/Rs2UJcEyQiIiL355HBXCazGfvTMrAr6QAOHz+By4WFKCguhtVmE3993ZxZ1T1EIiIiIo8gLOD0aNEc3Zs3w55Tp/HF7j3YddKxLEUVBnUlJeMXMVNXLO7v2AH1XRDUpWzeDT737YI5fQH065+FvfBk5TuzmmDc8R5Myd9D2/dVqNvdD5nCI2+XqRLlFu/5zLFyiysS89Anth76xdfjdSYiIiIiIqomG1LOY2VinsPtX5kQBT8vlUvHRO7BbrXAlDQLho3/g730gtP9yfyaQDfgLahiJ0LmopKErgri6tikCR7t0gldmjVlEBcREZGH8ahvp0pKy/D9oiWYOW8RLuTn3/Dvv3Pqszh++u/a6XM+fAfNGzeSeJREREREnhnU1blZU/FIOnNWDOracuy40/2arFb8mHQA81LSMCHuz6CuBr7SBnUJC2nquFuhirwJxl2fwLBtBmAsrnR/9rKL0K94BMY9n0M36H0ow4ZwwauGaxcSiFt7NsW8rY4FMr6xMAttWvmjjq/G5WMjIiIiIiKi8vKLTXhjkePlFcd0bYyukXV4GWsB86G10K+dCtv5DOc7U3tD2+M5aLo8BZnaCy4L4tqbiHmp0gZxdWveTAzi6tCkiWR9EhERUdXymGCu9IOHcO+zL5YLxrpRbWOisHbr9iuv5/++Cs88eK9EIyQiIiKqGdo2boRZt9yMtLw8fLl7L9YfPiJJUNec5AOYn5qG8XGxeMAVQV0qHbQ9n4W67WQYNr4M0/5vAfufmVsrw3YhC6U/D4MyZIAY1KVoECfpeMm9PD4sFNszHSu3eLnUjNfmZ+Hje+MZ6EdERERERFSF7HY73lyUhcslZofaN66jw1Mjw1w+Lqpe1nPp0K99GpbDa53vTCaHuu3d0PZ9HXLfBvCkIK4+rVri4c6dxLKKRERE5Nlckw9UYomp6Rhxz4NOBXIJxg8fWu7LlsWrJbipIyIiIqqhYhs0wFc3jcSKO2/H4NbSLHwKQV0/JR9An+9m45U/NiK3uPIZtP6L3Kc+vEZ+Dd+HU6AMHeR0f5Yj61H8VQLKlt8HW7HjJRzI88otvnprFK56XLiuLRkXsXxvrquHRURERERERFdZtT8PG1IdK50nPN8Jz3neWo/Ja0A3yFZyDmW/PYjiL+MlCeRStuoP34eS4TXqW5cEcp0rKcHrGzeh97ez8UNSsmSBXAPDQrHsjon4dvRNDOQiIiKqIdz+DvZM3jncNe056I3Gcj9v2qghhvbuidDmzTDtrfcc6qtBcF1EhYYg49Bh8fWps7k4cuIkQpo3c8nYiYiIiGqCiOBgfD5yOA5euIjPd+3GmpxDsDvZp9lqxc8HUrAgLR3jY2PwQKcOaOjrCykp6sfAZ9IamA+tEXdnOpVi326Daf93MKXNg7b7s9B0neKyFPtUfdqGBGJiz6aYu8Wxcovv/XoQHcMC0ShI5/KxERERERER1XbnCgx4e8lBh9vf1rMZ2ocGunRMVD3sZj2Muz6GYdtbgNH5jYLy4EgxK7sybIhLMnALQVwz9+7DvJQ0caOjVIa0DsOjXTojPLiuZH0SERGRe3D7YK4ZX3yDi/mXr7wWbqKmP3APHr3zdqiUfw7f0WAuQa/OHa8Ecwm27k1kMBcRERGRA4SFoc9GDkeOENS1ew9WH8yRNKhrXGwMHnRBUJcqbLC4s9KUNAuGjf+DvdSxHbzXZCoV+zAmfgPdgLegip0Imdwjkt2Sgx4bFoqdWZdw7HxZhW1LjVa89EsmZj7cFnK59Iu9RERERERE9Hd5RaHcfbHe4tAlaVHPC48OC+Hlq4F/D8xp86Ff/yzshSed7k/mVRfavq9B3e4+yBRKjwjiElYfhoS3xqOdO6E1g7iIiIhqLLf+5knImrV03R/lfvbiYw/hqXvuuhLIdaOiw0LLvU47mOPUGImIiIhqG2Gh6NMRw7DyrjswLLy1uIgECYK65h5IQd/vvsdrGzbhfEkJpCQsyGk6PAC/Jw5D0+M5QKlxqj970WmULbkDJTM7wXJ8m2TjpOqnVSvwxu0xUDgYnJV4+DJ+2epYJi8iIiIiIiKqnF93n8WO7EsOtRUe516/LVp8vqOaw3JiB0pmdkbZ4onOB3Ip1NB0nw6/Jw9D0/EhyQO5zv9/OcU+387Gj0kHJAnkElYphoa3xso77xDX5RjIRUREVLO5dTDX6i3bYLPZrryODW+Nh2+/1ak+w1u1LPc65+hxp/ojIiIiqq1a162LT0YMw6q7JmF4RLhkQV1zkg+gz3ezMWPTFlwqrTg70o2Qaf2gGzADfo8fhCrWuftKgfVsIkpm90Tp/FtgvfR39lfybNHN/HDvgBYOt/9s5WEczSt16ZiIiIiIiIhqqzOX9PhgmeMb8+/u3wKxzf1dOiaqOtb8oyhdMA4ls7rDemav0/2pYsbB9/Fs6Aa+A5lW2r8nwjqWsJ4lrGtJGcQlbKYUNlUyiIuIiKj2cOtgrm17E8u9njR61DVrVd9I/ep6dYLKvT5z7pwTIyQiIiKisLp18PHwoWJQ1wiJgrqMFitm709C729n4d2t25Bfppf0QssDmsN77C/wuW83FE27Ot2fOfNXFH8eBf3qKbDp/y4RTp7r3oEtEdXUsZKfRrMNL87NgNn690YUIiIiIiIicp7NZsdLv2SgzOhYUEzrRj54YFArXvoawKYvgH7tNBR/FglzxiKn+1M06QSfe3fAe9wCKALLJ35w1mW9Xly/EtaxhPUsYV1LyiAuYTOlsKmSiIiIag+3DuY6dup0uddd2iZcs92NBHP5+HiXe11cyh30RERERFIFdX00fChWT5YuqEtvsWDm3kT0+XYWPtq+E4UGA6SkbCos5G2H17iFkDu7kGc1w7jrIxR/HArj7k9ht5qlGiZVA5VCLpblUCsde2TKPFWEWeuZ9ZeIiIiIiEhKc7ecxP4jBQ61VSpk4nOcysHnOHJPwnqKcc8XKP4kFMYd7wNWk1P9yQKaw2vsPPjctwvKZs5v6LtakcGAj7fvRO9vZ4vrV8I6lrMYxEVEREQCt76jzS8sLPe6Yf1gp/tUKcvXvTYYjE73SURERER/C63zd1DXyMgISYK6Ss1mfLF7j7g49tnO3Sg2SncPJ2wMUMeMhe+jmdAOfBfQ+DnVn12fD/2qJ1D8eQzM2b/BbrdLNlaqWiENfPDY8BCH23+77hgyTha5dExERERERES1xeHcEny64rDD7R8c3ArhjR3LsEzuR1g/MR9cieIv4qBf+SjsZZec61DjC+2At+H3WDbUsRNuKDFERYR1qc937Uavb2fj8917UGpyLuBMIIxueES4mPmembiIiIjIrYO5zObyEexqleqa7W7kBqywuLjcaz9f3tgTERERuSqo68NhQ7Bm8p1iUJdcgkUzYbHsk527xLT1X+3ZK8li2V9kKi203afB78nDUHd8BJArnOrPdikHpb+MQukP/WDJTZZsnFS1buvZDO1CAhxqa7XZ8b+5GTCYnC+nQEREREREVJuZLDY8/1M6zFbHNkjFNPPDXX2bu3xc5BrWvBSU/jgApXOHw3Yx27nOZHKoOzwIvycOQ9vjGXG9RyplJjO+2bMPfb6djY937JJks+HVQVwfDx8qZr4nIiIicutgrqAA/3Kvi0pKnO7zdO658ufwdy7zAhERERFdX0idoP8P6pqEUVHSBHUVGoz4YNsOMVPXd/sSoTdLV9JQ7h0Mr+Gfw/eRNChbD3O6P8uxTSj5uh3Klk6GreiMJGOkqiOXy/DaxGh4aRwL7jt6rhSfrzzi8nERERERERHVZF+tPoKcs459J6RRycXyikqFW3/lRddgK85F2bJ7UfxVAixHNzh9jZRhQ+D7SCq8RnwFuU89ya65wWzBrMT94ubC97ZtR4HB4HSfwurYCAZxERER0X9w6zvbuoGB5V4fOnbimu1u5OvA/ekZ5V43blC/UmMjIiIiohvTKigIHwyVNqjrsl6Pt7dsE3dE/rA/CUZL+cyuzlAER8Ln9hXwvnM95PXjnOvMbocp+QcUfdIa+o2vwG4qlWqYVAUa19Fh+s2tHW7/85aT2Hco36VjIiIiIiIiqqmSjlzGDxuv/X3QtTw2LBQt63u7dEwkLbupDIbNr6PokzCYkmaJ6ybOkNeLgfcda+Bzxyoo6kVLNk5hnWlO0gH0/W423tq8Ffl6vWRBXKsnT8JHzMRFREREnhjMFRcRXu71zv3Ol6dZumZ9uddd2rZxuk8iIiIiuvGgrrX/X37R+ZAu4GJZGd7YtEVcXPs5OUXSoC5VSH/4PpQE3ajvIPNp4Fxn5jIYN78qBnUZk3+A3WaTapjkYqM6NULP6LoOt3/pl0yUGKT7e0hERERERFQbCM9RL87NcDi2p31oICb2bOrqYZFEhHUQ04GfUPRpaxg2vgQ4udlN5l0PupEz4ftQMlRhgyR7n0xWK+alpKLfrO/x2sZNOF9aKnkQV2gdllMkIiIiDw3m6t2lY7nXC1asguUaX8zJHMzqsGN/EhLT0sv9rFu7tk6OkoiIiIgqo2VQoFh+cdVdkzA03PGsR9dzrqQUr2zYiAGzfsD81DSYrVZJ+pXJFdC0uwd+TxyCptf/AJXOqf7sxWehXzoZJd+0h/noJknGSK4lPHO8ND4SAd4qh9rnXjbg/aU5fFuIiIiIiIhuwLu/HsTZfMdK2PloFWJ5Rblcim1i5GqWY1tQMrMjyn6dBHvRGec6U2qg6fn8n+s07e+DTKGUZow2GxanZWDgrB/wv/UbkFfsWKnPigjrXgziIiIiohoTzNWncycE+PleeX3izFl88dMvlerr4uXLeOLVGeV+FhHSCu3jYpweJxERERFVXljdOvh0xDCsvPMODAwLleRSni0uxovr/sDA2T+Ii3DCYpwUZBof6Pq9Br/HD0IVf4fT/Vlzk1H6Q1+U/DIK1osM/HF3df00eGFshMPtl+05i42p5106JiIiIiIioppiQ8p5/LY31+H2z42JQMNArUvHRM6zXjqM0nmjUfJ9b1jP7ne6P1XcRHFdRtf/Tci0fpK8RVabDcsyszBo9o94du06nC4qkqRfYZ1LWO8S1r2YiYuIiIhqTDCXj7cXHpl0W7mfvfP1d/jltxU3lJnr4NFjGHnvQzidm1fu50/ePcnhrF5ERERE5FrhwXXx5agRWHbHRPRp1VKSPk8VFomLcEO+n4OV2Qdhc7ROQwXk/k3hfcsc+DywD4rmPZ3uz5L9G4o/j0bZqidgK7skyRjJNQa0qY+h7Rwvt/nagixcKDTy7SAiIiIiIrqOi0VGvL4w6waezerd0LMZVT2b/jL0q6eg+PMomLOWOt2folk3+Ny/B95j5kIe0FyaMdrt4nrR0B9+wtOr1uBEQYEk/QrrWsL6lrDOJax3EREREdWoYC7BvePHIqxliyuvbTYbprz+NiZNeQZb9+yD3nDtL0aEcoxCWcWpb7yDfhPvwtGTp8v9eq9OHTCyf1+Xj5+IiIiIbkxM/fr4dvRNWHLbrejRQprFuWNCltYVqzBqzlxsPHIUdomCupSN28Pn7s3wmvAr5EEhznVms8C0+1MUfxwKw86PYLeYJBkjSe/ZW8JRz1/jUNuCUjNemZcp2d85IiIiIiKimkZ4Xnplfqb4/OSIYD+1mDWZm/Xdk7CeYdz1ibi+Ydz1EWB17H39L/LAlvAavwg+92yDsklHacZot2PTkaPiOpGwXnQkP1+Sfru3aI5FEyeI61rC+hYRERFRZcnsHvCtglBecdjdD+Bi/uV//ZpCoYDVai33s5BmTXHybC7MFss1+2vSsAHWzZmFoAB/l42Zqlb2kaPoPWHSldeb588Ry2hS9RCCKQuu2sESEBAApVKamvVERDUV587/tv/MGXyyYxd2njwl2fVOaNQQU7p3Q5dmTaVdrNz7BYybX4Pd4PxOTiE4TDvwXagib+YCtRvamX0JD3+dfEMBYBN6SPf3jf7EuZOI6MZx7iQi4rzpbhbvOI03FmU73P7LBxLQNbKOS8dEN074ulHIPK5fNw22S4ecv4Raf2h7/Q+aTo9CpnRsQ5Uj9pw6jQ+2bUfSWcdLelakU9MmeLJbF3Ro0kSyPj0d7zmJiDh3Ug3PzCVo3rgRFn3xMVo1+/dN0D8DuQRHTp76z0AuIcBnyVefMpCLiIiIyEO0a9wYc8aNwdzxY9GhSWNJ+kw+m4s7Fi7GnYuWIOUfpbgrS6ZUQ9v1Kfg+eRjqzk8AcucCmW35R1A2/xaUzO4Fy5lEScZI0ukaUQfjuju+SPvRb4dwJK+EbwEREREREdFVTlwow/vLcxy+JuO7N2EglxuynE1Cyfd9UDrvJucDueQKqDs9Cr8nDkPbbapkgVypuXniOtBtCxZJFsjVrnEj/HRlzYqBXERERFTLgrkEkaEhWDdnNiaMGCpm47pRcrkc44YNwcrZX4vBYURERETkWYRdjr+MH4sfx45Gm4YNJelzx4mTuGXuPDy47DccvHBRkj7lXnXgNfRj+D6aAWXEKKf7s57YhpJvOqB0yR2wFUqXnYyc99SIMDQL9nKordFsw/M/pcNssfHSExERERERCQFAVhte/DkdBpNjz0nNg73w5MgwXjs3Yis6g9Jf70LJN+1hPb7F6f6U4SPg+0g6vIZ9Brl3XUnGmHPxIh5e/jtGz50nrgNJIa5Bfcy+5WbMnzBO0qzvRERERB5VZvFaZRdnzluINVu24Uzeueu2rRsUiH5du+DRO29DWIvmVTZGqloss+hemD6XiIhzp6sJt7Bbjx3Hxzt2Ie3c9e8HHSUDMCIyAo937YIWgQGQivnYZhjWTIE11/GSfP9JqYWm29PQdp8OmcZXiuGRk9JOFOKuTxJhtTn2WDW5X3M8MYJfPkiF951ERJw7iYhcjfecrjNz7VF8ufqoQ22Vchl+eLI9Ypr5u3BE5Ci7sQSGHe/BuOM9wKx3+sLJG8RDN+gDqEL6SfYmnCgowKc7d+G3zGxI9UVoZL1gsZxi31atIJMJK0n0Xzh3EhHdOM6d5PHBXFc7lZuHlKxsXMy/jIKiIpjMFgT6+SIoIACRoa3EjF68oar5GMzlXvhBQ0TEubOqCLeyG44cxSc7diHrwgVJ+lTIZBgTG41HOndGIz9pAqbsNhvMKT9B/8fzsBefdbo/mU99aPu9AXXCZMjkN561lqrvCwhhrffbR9qhfWgg3wYJ8L6TiIhzJxGRq/Ge03UbYyZ/kgiLgxtjHh7SCvcPauWi0ZCj7DYrTAfmwLDhBdiLnS9VKPNpAG3/N6Fuc6dk6xt5xSX4YvduLErLgMUmTXbs1nXr4ImuXTAgLBRyBnE5hHMnEdGN49xJV1PCwzVt2EA8iIiIiKj2EYL2+4eGoG9IK6w7dFgM6jp06ZJTfVrtdixITcfSjCxMbBOHhzp2RB1vL+fGKZdDnXAnVNFjYNzxPgzb3wXMZZXuz15yDvrl98G4+1PoBn8IVUh/p8ZHzrm7fwtsz7qE1OOFFbYVttIIZUQWTu8MPy8VLz0REREREdU6ZUaLWIbe0UCu2OZ+4nMXVS/z0Y0wrJkKa94B5ztT6aDpNg3abtMg0/hIMTzkl+nxzd59+PnAARgtVkn6DAkKwuNdO2NIeGsGcREREVGVklft6YiIiIiIpCfsihzcOgwr77oDHw8fKkmZRJPVih/2J6PPd7Px4fYdKDIYnO5TpvaGts/L8HvikJhVS0zT5ATbuTSU/jgAJT8Ph/VCltPjo8pRKuR48/ZoeGkc20WcV2DEW0sO8nITEREREVGt9O6vOTh10bHSfFq1HG/cHiM+d1H1sF48iJJfRqH0h36SBHKp2kyC3+M50PV9VZJArmKjER/v2Ik+387CrMT9kgRyNQvwx3tDBmHVXXdgWEQ4A7mIiIioyvHul4iIiIhqVFDX8IhwrJl8J2YMGoCGvs6XSSwzm/Hl7r3o/e1sfLVnL8pMZufH6dcIXjfPhs+D+6Fs2cfp/iw5K1H8RSzKVjwCW6k05SbpxjSt64Xpo8Mdbr96fx5W7c/jZSYiIiIiolpl/YFzWLbnrMPtnx7VGs2DncuWTZVjK7uEspWPo/jzGFiyf3P6Mipa9ILPg4nwHv0j5P5NnO5PbzZj5t596PPtbHy+aw9Kzc6v1wjrSG8O7I+1k+/EzdFRUMj5NSoRERFVD48vs0hERERE9E9KuRzjYmMwKjIC81PTxGCsS2WVL2soKDIa8cG2HWK2roc7d8SEuFholM7dTisbJsD7rg2wHPw/9u4COorzawP4s76bTUJw9wRIIMHd3d3daSkFWqwUL/wpFCtSoMXd3d3dIbi7E0Jsffc7s/2gBN3sbMgmeX7n5LSzmb37MpNM5p25c+9G6Lb3hfXVdeeDWS0wnpgG4/lFUJcdBFXR7pAo1KLGRzFTt0haHLr8ErvOP3do/d9XXkX+bD5Im5T7iYiIiIiIEr6nr/UYvtzxqtKlApKjYYn0sTom+pjNbIDh+F8w7P8fbPpQ0ZtImswX6qpjochVFxKRFcrfVlJfceEiph47hheR4q71vJVMo7Ff62meN0j0tR4iIiIiV2BKORERERElWMIFuLYF8mNvpw7oXbokvFUq0TGFpLARe/ah0ux5WBV8CRarVVQ84UKmIlcdeP14EZoakyHRJBM3QEMY9Dv6IXyKP4wXV8Bms4mLRzHal4Oa5EJKb6VD60fozRi06CIsVu4jIiIiIiJK2IR5z6DFlxCuMzu0vo9WgWHNAlyS/EOOEa4fGC+tRviUAOi39xGdyCXRJIWm+kR4/XgJSv96ovelcP1lzcVLqDJ7Hobt3uOSRC4vlQq9SpXE3s4d0K5gASZyERERkduI1+nlOr0Bb8LDER4ZCYPB6HScPDn9XDouIiIiInIvHkoFuhYtgpZ5gzDr1Gl7dS2hfaIYT8LD0X/7Dsw6dQq9S5VEJd/soi5MSmQKqIp1hyJvK/vTr4bjUwCL82O0ht5F1IqmkGWcCE21CZBnLOZ0LHKcj1aJ31rkxg9/n3Vo/dO3QrFg7z20r5iFm5mIiIiIiBKsBXvu4dTN1w6vP6x5AFJ4i38gixxjfnQSuq29YLl/SPwmk8qhKvojVGUHQ+qRzCVJZrtu3sK4g4dxKyRE/PgAaORye/JWp8IFkUTNatlERETkfuJVMleUXo+tew9gy74DuHjtOu4/fuKSSgNPT7rg5JSIiIiI3J63Wm1/4rJt/vyYfuIElpy7YC/PL8bNVyHoun4j8qVNi75lSqFoxgyi4kmFJ1erjYeyyA/Q7/gFpsurRcWzPDiKiJnFoQhsBnWlUZAlZdJQbCuRKzlalMmIJQceOLT+1C23UCxHMvhn9I71sREREREREX1rlx+E2ec9jmpcIj3K5UkZq2Oif1lD70O3awBMFxa7ZJMo/OtBXfkPyFLkcEm8Ew8eYuzBQzj7+IlL4ilkMrTIG2h/4C+FVuuSmERERESJNplLSNhatHYDRk79G6Fh4XE9HCIiIiKK55JrPTCofDl0KFgQU48d+7ddosiHBM49eYKWy1eibNYs9paOAalSiYonS5Yd2marYL57ELptvWB5fEpUPFPwMpiurIWq+M9Ql/4VEjUTh2JTj1q+OH49BLeeRn51XbPFhv4LLmJpnyLwUMWLKRoREREREZFDdAYLfl1wEWYH28tnSeWBXvVckwhEn2czhEN/8A8YjowHzHrRm0qWtsC/VcGzlnXJZr/y/AXGHTyE/XfuuiSeVCJBwzy50b14UaTz5vUQIiIicn9SuDmLxYIfBv+GvqPGMpGLiIiIiFwqnbcXRlapjO0d2qGOfy443yTxP8KFxjoLFqPX5q24FxoqOp48S2l4djkOj4aLIPEWV/ULZgMMB0cjbJIvDCf/gc1iFj0++jS1UobfW+eBQubYT9W9F1EYu/Y6NycRERERESUoY9ddt893HCGXSTC6TR5olLJYH1diZbNaYDg1E2GT/GA4MFJ0IpfEOz08GsyH53cnXZLIdT801H49pc6CRS5L5KqZMwe2tW+DUVUrM5GLiIiI4g23f+x75NR/sHb7ri+uI5PJoFIqv9mYiIiIiChhyZLUBxNqVsd3RQpj4uEj2HnT8fYPn7PhylVsuXYdzYIC0a14UaQUUb5fIpVCmbclFP71YTj6J/QHRwHGr1d8+hxb5AvoNn4Pw7HJ9paOCr9qTseiz8uZ3gvda/liwvobDm2mtcceo3iu5KiSLzU3KxERERERxXt7LjzHmqOPHF6/e01f5MrAqkmxxXRzJ3Tbe8P6LFh8MIUH1KX7Q1WiNyRKD9HhXkZGYuqxE1h2/gJMVqv48QEony0rfi5VQnTldCIiIqK44NbJXLfu3cfMpSs+ej1jurRoVa82ShcphBxZssBTK/5EkYiIiIgoZ8oUmF6vDs4/eYoJhw7j8L37ojaK2WrFonPnsfriJXQoVBCdCheEl0rldDzhAqm67EAoC3SEfs9gGM/MER6rdTqe9cVlRC6sDrlvVWiqjoMsdR6nY9GntSqbCQcvv8TJG68d2kTDl11BnkzeSJdMw01KRERERETx1rNQPX5bdsXh9Yv4JUXrcplidUyJleX5Zei294X5xhbxwSQSKPO3h7rCCEi904kOF24wYPap05hz6gyiTCbx4xN+ljJkQJ/SJVEgvfjxEREREcUVt07mWrllG0zm6K1fmtepiVH9ekEt4iYYEREREdGX5E2bBvMbN8Sx+w/sSV1nHj8RtcF0ZjOmHjuOJefP4/uiRdAqX16o5M6fiku90sCj7kyoinaHbltvmG9/uZLt15hvbkf4rZ1QFuwEdYXhkHqyMpSrSKUSjGiRG43HHEO47uttLSP0ZgxcdAmzfiwImdQVjT+JiIiIiIi+LavVhiFLLuNNlGPJOUk8FBjRMrd9/kQu3A8Rz6HfOwzG0zMAq0V0PHnWClBXGw952nyiYxnMZiw5fwHTjp3Aa50OrhCUJjV6lSqJkpkzQSLhzxIRERHFb1K4sX3HTkZbLhSYBxMG9WciFxERERF9E8UyZcTy5k0xs35d+KdMKTrea50eo/YdQKXZ87Aq+JK9cpcYsjRB0LbdAW2rzZCm9Bc3OJsVxlMzEDbRF/oDo2AzueZiKgFpkqoxpKnj++fs7VDM2nGHm46IiIiIiOKlhfvu4/j1EIfXH9rMH6l91LE6psTEZtJDf/APhE3yg/HkdNGJXNIUOaFtuRHadrtEJ3JZrFasvXQZVebMx8i9+12SyOWXPDmm162N1S2bo1SWzEzkIiIiogTBrStzPXz6NNryD62b8ySMiIiIiL4p4WnO8tmzoWy2rNh09Rr+PHQED968ERXzSXg4+m/fgZknT9lL/1fyze70ea7wPkWOGpBnrwLj6ZnQ7xkCW9RL5wdnjIB+1wAYTv4NTeVRUORpBonUrZ8BiRcq50uN+sVeYe2xxw6t/8/22yiSIxnyZ/OJ9bERERERERG5yuUHYZiy+abD69cvlg4VglJxB7iAzWaD6eIK6Hb+AlvoPdHxJB7JoS4/DMpC30EiU4ge257btzH+4GFcf/kKrpAxiTd6liyB2rlyQsbrFkRERJTAuPVdmdA3YdGWCwcFxtlYiIiIiChxk0okqOOfC9s7tMXQiuWR3MNDdMxbISHoun4jGi9ZjuMPHoqKJZHJoSrSFd4/3YSqVD9AphQVz/bmPqJWtUTEzOIw3zssKhb9q1/9nMiSyrGfG6sNGLDwIsIcbEtCREREREQU1yL1ZvwyPxhmi82h9TOl9EDf+jlifVyJgfn+UUTMLIGolc3EJ3LJFFCV7AOvnjehKvqj6ESu048eodmyFfhu7QaXJHIJ12OGVCiP7R3aoV6APxO5iIiIKEFy62QutVoVbdkniXecjYWIiIiISKCUydA6fz7s6dQeP5csAa1SXNKU4NyTJ2i5fCU6rFqLy8+fi4olUSeBpsof8OpxFYo8TUWPzfLoBCJml0Lk8iawhNwWHS8x06hkGN0mDxQyx6qwPXmtx8iVV+1PMBMREREREbm7Uauv4cFLx9rmyaUSjGqdBx4qt24g4/Ysr+8ickUzRMwqAcvDY6LjKXI3glf3K9BUHQupRlyl6OsvXqLL2vVounQFTj9yrEr1lwjXX3qWKG6/HtOmQD779RkiIiKihMqtk7myZsgQbTksIiLOxkJERERE9OFFxG7Fi2Jvpw7oULAAFC64iHjg7l3UXbAYvbdsxaMPqtTGlCxpVmibLINnp8OQZSgqemymSysRPsUfuu19YdWFio6XWOXK4I0etX0dXn/72WfYcOJJrI6JiIiIiIhIrM2nnmDTScfnLj/UyI7cmfgAv7Ns+jfQ7eiP8Cm5YLq4HGLJ0heGZ8eD0DZdCVmy7KJiCdcz+m7ZhprzF2LPLfEPhQnXW9oVzG9P4upeophLHqojIiIicnduncxVslCBaMvXb9+Ns7EQEREREX1KMg8NBpQvi90d26FRntz2doxiCDWY1l++ikpz5mHUvgMI1elFxZNnKgHPzkfh0XgpJD6ZRcWCxQjD4XEIn+QLw/GpsFnYAtAZLctkQslcyR1ef/Tqa7j3IsqpzyIiIiIiIoptwnxFqCrsqILZfdC2gsj5aSJls5hhOPk3wib5wXDoD8BsEBVPkiQjPBothmfnY5BnLiUq1hu9HqP3HUDlOfOw9vIV+/UNUWMD0CB3AHZ1aIdB5cvZ2ysSERERJRZunczVom4tSKX/DXHb/oNxOh4iIiIios9J5+2N0dWqYFPbVqjsK+4pVoHJYsHsU6dRYdYczDp5Cgaz2elYEokEysBm8O5+FerKowGVl6ix2aJeQbf5R4RPDYTp2ia2AYwhqVSC4S0DkMzTsaeJdUYLfl0QDJPZ6szuIiIiIiIiijXCPEWYr0QZLA6t76WRY2SrPJBJxT0IldjYbDaYrm9F+LS80G3sClvkC3EBlZ5QV/od3j2uQRnUApL37sXFlHC9YtbJ/79+ceo0jBbHfha+pEL2bNjctjXGVK+K9ElYwY2IiIgSH7dO5sqRNQvaNqz3bnnBmvV48lzkCSoRERERUSzKkSIFptergxUtmqJwhvSi44UZDBi9/yAqz56HtZcuw2pz/tlWiUINdelf4N3zJpSFvwck4qYD1pfXELm4NiLnV4bl6XlRsRKb5F4qjGgZ4PD6lx+EY+qWW7E6JiIiIiIiopiasvmmfb7iqKHN/JEmqZobOgYsz4IRuaAaIhfVgPXFZXHbTiKFslAXeP90E+oyv0Ki0DgdSrg+sf7yFVSZMx+j9x/AG724KmGCgunTYVmzJphRvy5ypEwhOh4RERFRfOXWyVyCoT27oVj+fPb/1+n1aNunP8IjIuN6WEREREREX1QgXTosadoYsxvUg3/KlKK31uPwcPTduh11FyzGwbv3RMWSeqaCR+3p8Op2AXK/6qLHZr69G+HT8yNqXUdYw5+IjpdYlPRPgZZlMzq8/rw993Dk6qtYHRMREREREZGjDl1+iQV77zu8fqMS6VEpb2puYAdZw58ian0XhE/LB/OtHaK3mzx7ZXj9cA4edf6B1FPcfjh87x7qLVyC3lu24VFYmOix5UiR3J7AJSRyFXLBg3FERERE8Z3bJ3OpVSosnjgG1cqWti9fuHINlVt3wMETp+J6aEREREREX21vWDZbVqxv0xITalZHxiRJRG+xKy9eoP2qNWi7cjUuPXsuKpYsVW54tt4CbettkKbKI25gNhuMZ+YgbJIf9PtGwGaMEhcvkehZ2w8503s6vP6gRZfwMkz8085ERERERERivHhjwOAllxxeP3saLfrUy8GN7gCbSQf9/t/t82vj6ZmAzSpqu0lTBkDbagu0bbZDljpQVKwrz99ek1iDy8/FXZMQpPf2xtjqVbGxTSt7a0XhOgoRERERARKb0GjbjR04ftL+X2GQC1avw+a9+999z983O8oWLYzcOXzh4+0NlULh1GeUKVrYZeOluHH11m2Ua9bm3fK+ZQuQK3s27o44YjabERoa+m7Zx8cHcrmc+4OIiMfORM9osWDFhYv46+gxvIxyTbJT3YBc6FWyJNIn8RYVx2Yxw3h2LvS7B8EWKf6CrMQ7PTSVRkER1BISqds/QxKn7jyLRPNxx6E3OXaBvmiOZJj2fX7IpLzIzfNOIqKY47GTiIjHTbGsVhu6/n0Wx6+HOLS+SiHF4l5F4JvW8QdZEiOb1QpT8FLodv0K25sHouNJtCmhrjAcygKdIJGJuz7/OCwcEw8fwdpLl+3368RKqtGgW7EiaJ43CCreO0iQeM5JRMRjJyXwZK40hUvF+mc8PXko1j+DYheTudwLT9KJiHjspC+LNBox7/RZzDx5ChFGo+jNpZDJ0CZ/PnQtWgQ+GrWoWDZDOPQHR8NwZDxgFl8BSpauIDRVx0OetazoWAnZ6qOPMGL5FYfX71YjOzpXyYrEjuedREQ8dhIR8Zzz25u76y4mbbrp8PqDGudCo5IZYnVM8Z353iHotvWC5dG/BQ5EkaugKvYT1GV+hUQtrkJ4mF6Pv4+fxLwzZ+0PqInloVCgQ6EC6FioILxUKtHxyH1xvk5ExGMnicNH5ImIiIiIvjGtUoluxYtiT6cOaF+wABQiK1eZLBbMPnUaFWbNwcwTp2Awm52OJVF5QVNpJLx7XIMiqAXEsjw+jYi55RC5tAEsr26IjpdQNSiWDpXypnJ4/elbb+Hs7f8qoRIREREREX0LwXffYOqWWw6vL8xzGpZIH6tjis8sIbcQubwxImaXdkkilyKwGby6X4WmymhRiVzCdYU5p86gwqy5mHHylOhELuG6h/AQ2t5OHfBTyRJM5CIiIiL6CiZzERERERHFkWQeGgwsXxY7OrRD7Vw5RccLMxjwx4GDqDx7nr31gcXqWNu+T5H6ZIa20WJ4djkOWaaSosdmurIW4X/lhm7rz7BGOdaKIzGRSCQY0tQfaXwcezLZagP6LwhGaKT4ym5ERERERESOCNeZ8cuCYJiFCYkD0iZV2+c5wnyHorPqQqHb1gfhU/xhurRK9OaRZSwOz85HoW28FLKkWZyOY7XZsPHKVVSdMx+/79uPUL1e9NiE6x3bO7TFkIrlkVzrIToeERERUWIgrkn2N5A2Vcq4HgIRERERUazK6JMEf9aqYW8zICRjHb3/QFS8x+Hh6Lt1u/0p2n5lS6N0lsxOx5JnKALPjgdhurwa+h39YH19x/mBWUwwHJ0I47n5UJcbCmXhrpDIlc7HS2C8PRQY1SYQnf46DYsDN0eehRowZMllTOqUlzdHiIiIiIgoVtlsNoxccQWPQxxL7pFJJfi9dR77PIfe244WE4yn/oF+7zDYol6J3jRSnyxQV/kDityNRc8Lj96/jz/2H8TFZ8/hCsUyZsQvZUshME0al8QjIiIiSkzcPpnr7Oa1cT0EIiIiIqJvIk+a1FjQuCEO3L2HMfsP4trLl6LiXXnxAu1XrUHJzJnQr0xp5E7teBu/9wkXhJW5G0GRszYMx/+Cfv8IQP/G6XHZdK+h2/qTPZa66lgoctVlMtL/y5/NB12rZ8Nfmx1rW3Lg0kss3v8Arcplcnp/EBERERERfc2aY4+x7ewzhzfU99Wy2uc39F8ynPnaJuh29IX15TXxm0XlDXWZgVAV6wGJQi0q1LUXLzHmwEHsv3PXJbsrR4rk+KVMaZTJmoVzfSIiIqKEmsxFRERERJSYCIlTZbNmQanMmbDu8hX8efgInoZHiIp5+N591Fu4GPVzB+DnUiWQ1svLubHJVVCX7A1lvrbQ7/sNxpPTAavF6XFZQ24iaml9yLKUhabaBMjTFXA6VkLSoWIWnLzxGsevO9aOcuLGG/abJLkzecf62IiIiIiIKPG5/jgcY9Y4noBUyDcpOlTKGqtjik/MT85Bv603zHf2iA8mlUFZsAvU5YdB6uncA1tvCdcaJh4+gtUXL8GxxplfltrTEz+XLIH6uf0hk0pdEJGIiIgo8eLZFBERERGRGxIufDbMkxu7OrRH39Kl4KVSiYonXJhdc+kyKs+ehz8PHUGE0eh0LKk2BTxqToFXt4uQ56wNsSx39yPin0KIXNMO1rBHSOykUglGtsqNZJ6OtaA0W2zovyAYEXpzrI+NiIiIiIgSlyiDGf3mBcNgsjq0vo9WYZ/PCG0WEztr2GNEreuIiL8LuCSRS+5XA14/XIBH7WmiErkijUZMPHQElWbPxSoXJHJ5KpXoU7okdnVsh0aBwr7nrUciIiIisXhGRURERETkxtQKOb4rWhh7OrVH+4IFoBB5UVRvNmPqseOoNGsull0Ihtnq2AX5T5GlzAXPlhugbbsL0jR5RY0LNhtM5+YjbJIfdHuGwmYQV40svkvhrcLI1rkhcfD+x4OXOvxv+RV76w4iIiIiIiJXEOYXI1dexd3nUQ6/Z3iLAKT2Edf2L76zGSOh3zvcPr81npljn++KIU0dCG2bHfBsvRmyVAFOx7FYrVh+IdiexPXXseP26wNiCNcn2hXIjz2dOuD7okWgUShExSMiIiKi/zCZi4iIiIgoHkiq0WBg+bLY0aEd6vjnEh3vZVQUBu3YhdrzF2H/nbuiYimyV4TX96ehqTcbEs804gZm0sGwbzjCJueA4cxc2ES0cYzviudMjvYVszi8/razz7D22ONYHRMRERERESUe644/xuZTTx1ev0WZjCiTOyUSK5vVCuO5BQibnBP6vUMBk+NJcJ8i8UwNTd2Z8Op6FgrfyqJiHbhzF7UXLMLAHbvwIlLcuAQ1c+bAtg5tMahCOSTz0IiOR0RERETRMZmLiIiIiCgeyeiTBBNqVse6Vi1QPFNG0fFuvHqFjqvXot2qNbj64oXTcSRSGVQFOsC75w2oyg0BFOIu5trCn0C3rgMi/i4E023x7Sjiqx+qZ0PerEkcXn/Mmmu4+SRxVzUjIiIiIiLxbjyOwOjV1xxeP2d6T/xUxy/RbnrTnX2I+Kcwota0hS3skbhgcjVUZQb+O78u2Mk+33bW9Rcv0X7VGnRYvRbXX74SNy4ARTJkwJqWzTGpdk1k9vERHY+IiIiIPo3JXERERERE8VCeNKmxoHFDzG5YHzlTpBAd79Dde6izYDF+3b4TzyKcTwaSqDyhqfAbvHtchyJfG9Hjsjw9h8h5FRGxuA4sLx2/kZBQyGVSjG4TCG8PuUPr601W9JsfDJ0h8VY0IyIiIiIicaIMZvSbdwEGk9Wh9bUqGca0C4JSnvhuOVle3UDk0vqInFselidnRMdT5G0F757Xoan0P0hUXk7HeREZiYE7dqLWgkU4ePee6HH5JU+OmfXrYnHTRghKK7IiNxERERF9VeI7syYiIiIiSiAkEgnKZs2CDW1aYky1Kkjj5SkqntVmw8rgi6g0ay4mHzmKKKPJ6VjSJBmgbTAfnt+fgixLWYhlvrYR4X/lQdTm7rBGvkRikjapGsOaBTi8/u2nkRi1+mqsjomIiIiIiBImm82G31dexZ3njrfiG9LUH5lTeiAxsUaFIGrLTwifEgDTlXWi48kylYLndyegbbgQ0iTOV+HWmUyYevS4fV6//MJF+zxfjNSeWoyqWhmb2rZC+ezZ7NchiIiIiCj2MZmLiIiIiCiek0mlaJAnN3Z1aI++pUvBS6USFU9nNmPykWOoPGcuVgVfgsXq2NPYnyJPVxCe7ffCo/laSJP5ihoXrGYYj/+FsEm+0B8eD5vZgMSiQlAqNC/j+AX9DSeeYN3xx7E6JiIiIiIiSnjWn3iCTaeeOrx+4xLpUbVA4qnUZDMboT8yEeGTfGE8Nsk+TxVDmjQbPJqugmfHA5CnL+x0HCFpa+2ly6g0ex7+PHwEkSbnH84SaJVK9CpVErs6tkfjwDz26w5ERERE9O3w7IuIiIiIKIFQK+T4rmhh7OnUHu0K5Idc5MXWZxGR6L99B+otXILD95xvyyA8uav0rwevHy9BU30iJJqkosYF/Rvot/exPwFtvLTK/uR4YvBzHT/4Z3C8zcaoVVdx/XF4rI6JiIiIiIgSjptPIjB6leNVfnOk80Sf+jmQGAjzTuPltQj/Kzf0236GTfdaXEB1EqirjodX98tQ5m4oquLVsfsPUH/REvTduh3PIiJEDUu4jtAmfz77dYUfihWBRqEQFY+IiIiInMNkLiIiIiKiBCapRoNBFcphW/s2qOInshoWgCsvXqDtyjXouHotrr90vsWhRK6EqnhPePW8CVXxnwCpXNS4rK9vI2p5Y0TMLg3zwxNI6JRyKUa3DYSHSubQ+gaTFX3nBiNSL+5JcSIiIiIiSvh0Bgv6zQuG3uRYZWZhXjK2XSBUCsfmJ/GZ+fFpRMwph6hlDWANuSkumFQOZdHu8O55E+qSvSCRO19Z+9arEHRZux6tVqzCpWfPxY0LQFU/X/t1hCEVyyO5R+Jqm0lERETkbpjMRURERESUQGVJmhTT6tbG0maNEZQmteh4++/cRa35izB45y68jIx0Oo7UIxk01f+0V+pS+NcTPS7L/cOImFEUkatawRp6HwlZ5pQeGNTE3+H1772IwojlVxJN9TIiIiIiInLO76uu4vYzx+d5g5v4I3MqbYLe3NY3DxG5pi0i/i4Ey70DouPJc9WB148X4VFzMqTaFE7HeRUVhWG79qDGvAXYc+u26HEJ1wuE6wZT69a2X0cgIiIiorgn7lF4IiIiIiJye4UzZMCqls2x6eo1jDtwCI/DnW+9Z7XZsPR8MDZcvmpv6dihYEF7e0dnyFLkgLb5Wpjv7IduWy9YnpyBGKYLi2G6vBqqEr2gLt0fEpXjLQnjkxoF0+DkjRCsPfbYofW3nX2GAtmTokmpDLE+NiIiIiIiin/WH3+MjSefOLx+w+LpUb1gGiRUNkME9IfGwHBkHGDSiY4nS5MP6moToMhWXlQcg9mM+WfOYtqxE4gwGkWPK52XF/qUKYVauXJCKqLNIxERERG5HitzERERERElAsKF2Tr+ubCzYzv0LV0KnkqlqHiRJhMmHDqCynPmYeOVq6IqP8mzloXndyfh0WA+JN7pRY0LZj0MB35H2CQ/GE7NhM1qQUL0S4OcyJHO0+H1x669hssPwmJ1TEREREREFP/cfBKBUauvOry+MA/pWz8HEiJh/mg4M+ff+eT+EaITuSReaaGpPxee358SlcglzLeFh7OqzJmPMQcOiU7k0iqV6FO6JHZ0aGe/TsBELiIiIiL3w2QuIiIiIqJERCWX2ytq7e7UHq3y5YVM5NO3T8LD8fPmrWiydDnOPXH8Se4PSaRSKPO1gXeP61BXGA4oPESNyxbxDLoNXRA+PT9MN3cgoVErZRjbLhAeKplD65ssNvSdF4ywKFOsj42IiIiIiOKHSL0ZfeZegN5odWh9jVKGMW0D7fORhMZ0azfCpxeAbl1H2CKeigum0EBVbii8e96AKn87SKTOb6/zT57a59s/bdqCR2HiHtAR5v8t8gZhT8f2+L5oEaerbBMRERFR7GMyFxERERFRIpTcwwPDKlXAlnZtUCF7NtHxzj5+gkaLl6H3lq32BC9nSZQeUJcbbL/orSzQARCZbGZ9FozIBVURsbAGLM8vIyHJnEqLoU39HV7/0Ssdhiy5LKqKGhERERERJQzCvOC3ZVdw93mUw+8Z1CQXsqTWIiGxvLiKiEW1ETm/EqzPLogLJpFAka+tfT6rqTAMEqXz20qYV/fZsg0NFy+1z7fFKp8tKza3a43hlSsiuVbcw1NEREREFPuYzEVERERElIhlT54MM+rXxcImjZA7dSrR8dZfvorKs+dh0uGjiDI6XwVK6p0OHvVmw/P7M5BnrSB6XOYbWxE+LQhRG7vCGvEcCUXVAmnQtFQGh9ffd/EFFu27H6tjIiIiIiIi97fs4APsOPfM4fXrF0uHmoXSIqGwRr5E1KYfET41D8zXN4mOJ89SDp7fnYK2wTxIvdM7HUdnMmHykaOoMnse1l2+Inpc/ilTYkHjhpjZoB58kycXHY+IiIiIvg0mcxEREREREYpnyoi1rVpgbPWqSO3pKWqL6M1mTDl6DJXn/Hvx2SqiEpQ8bT5o2+2CtuVGSFPkFLenrBYYT/6NsEm+0B/8AzaTHglB73o5EJDRy+H1J228iXN3QmN1TERERERE5L4u3H2D8etvOLy+X1pP/NJA5HzMTdjMBugPjbPPC40nptrniWJIk/tB23wdtO33QJ6ugPPjstmw4cpV+zx68pFj0JnNosaVSqvF6KpVsK51C5TInElULCIiIiL69pjMRURERERE/04OJBLUzx2AXR3boVepEtAqFKK2zLOICHtbiMaLl+HM48dOx5EIrSpy1oJXt2Boak6BxEPk08SGcOh39kfYlFwwBi+P920HlXIpxrYLgqda7tD6ZqsNv8wPxusIY6yPjYiIiIiI3IswD+g77wLMFsfmQRqlDGPaBUKtlCE+E+Z9xkurED7FH/odfQH9G1HxJJqk0NSYBK9uF6Hwr2uftzpLaKPYeMly9Nq8FU/DI0SNSyOXo2eJ4tjVsT0aBeaGTMrbgERERETxEc/iiIiIiIgoGo1CgR+KFcWuTu3RPG+gPclLjPNPn6LJkuX4adMWPHoT5nQciUwBVdEf4dXzJlQl+wAycclmttB7iFrZDBEzS8B8/yjis/TJNRjRMsDh9Z+FGjBo0SVYrfE7kY2IiIiIiBxnsdowYOFF+3zAUYOa5ELW1Np4vZnND08gYnZpRC1vDOvrO+KCCfPS4j//Oy8t1gMSudLpUI/Dwu0JXI2XLMO5J09EDUuYtTcOzIPdndqje4li8FCKmy8TERERUdxiMhcREREREX1SSq0WIypXwqa2rVA2axbRW2nT1WuoMnce/jx0BJFG56tCSTU+0FQdC6/uV6DI3Uj0uCwPjyFiVglErmgGy+u7iK/KB6ZCm/KOt884fPUVZu0UeSODiIiIiIjijZk77uDotRCH129cMgNqFkqL+Moaeh+Rq1oiYkZRWO4fFh1PEdAAXj9ehqb6BEg9kjkdJ8powqTDR1Flzjx7a0WxSmbOhI1tW2FU1cpI5ekpOh4RERERxT3H+nAQEREREVGilSNFCsxuWB+H7t7D7/v24/rLV07HMpgtmHrsOFYGX0Tv0iXtbR2drfwlS5Yd2qYrYb53CLptvWB5dBJimC4uh+nqOqiK/QR1mV8hUSdBfNO9li/O3XmDC3cdaxkyfdtt5MmUBCX8RbauJCIiIiIit3bkyiv8s/22w+sHZPRG3/o5EB/Z9GHQHxwNw9E/AbNedDxZuoLQVJsAeZYyouJYbTZ78tbYA4fwLEJcO0WBb/Jk+LVsGZTJmkVUm0ciIiIicj+szEVERERERA4plSUzNrRpheGVKiCpRiNqqz2PjMQv23agwaIlOPnwoahY8syl4Nn5GDwaLYYkSUZRsWA2wHDoD4RN9IXhxHTYLGbEJwqZFGPaBsJH61hLDZsN+HXhRTwO0cX62IiIiIiIKG48fa3HgEUX7ef/jvD2kGNsu0Ao5fHrFpIwfzOcmoGwSX4wHBwlOpFL4p0eHg0WwLPLCdGJXGceP0bjxcvQZ8s20Ylcwnz8t0oVsKlta5TNlpWJXEREREQJULyszHXh6jUcPnUG5y5fxe37D/AmPBzhkZEwGE1Oxbt9YKfLx0hERERElBDJpVK0yJcXtXLlxNRjJ7DgzFmYrFan41189hzNl61E9Rx+6FemNDL6OFcNSyKVQhnUAgr/+jAcnQj9gd8Bo/MXyG1RL6Hb9AMMx6dAU3Uc5H7V480F8jRJ1RjZKje6/XPOofXfRJnQZ24w5vYoCJVCFuvjIyIiIiKib8dktqLfvGCERjp+/2RkqzxIn1zcAzzfmunGdui294b1+SXxwZRaqEv1h6pEL0iUHqJCPQ4Ls1fi2nj1muhhKaRStCmQH92KFYG3Wi06HhERERG5r3iVzLVpzz5MmbcI513QQ5yIiIiIiJwnXDj+tVwZNM8bhD/2H8DOm7dEbc6t129g963baF+wALoWKwJPpdKpOBKFxt4iUVmgA/R7hsB4ehZgcz7ZzPriCiIX1YQ8e2Voqo2HLHUg4oOS/inQqXIWzNp516H1Lz8Iwx9rrmNIU/9YHxsREREREX07EzbcwIV7jrVhFwjziNIBKRBfWJ5fgm5bH5hvbhMfTCKBMn8HqCuOgNQrrahQUUYTZpw4iZmnTsFgtogeWiXf7OhftjSyJE0qOhYRERERub94kcwVpdej36ixWLVle1wPhYiIiIiI3pMlqQ+m16uDo/fvY+Te/bj64qXT28doseCfEyex+uIl9C5dEg3z5IbUyWpYUs/U8KjzD1RFf4RuW2+Yb4mrxiu8P3xaPigLdIS6wnBIvdLA3X1fLRvO3XmDUzdfO7T+mqOPEJQlCeoVTRfrYyMiIiIioti3/ewzLD3wwOH1i/glRdfq2REfWCOeQ793KIynZoh6gOctebaK/z7AkyavuHHZbFh/+QrGHTyEZxGRoseVM0UKDCxfFiUyZxIdi4iIiIjiD7dveG6z2dB9yAgmchERERERubHimTJhfeuWGFmlEpJ7iGtD8TIqCr9u34mGi5bizOPHomIJlbS0bbZD22oLpCkDRMUSbhAYT89E2CQ/6Pf/DptJB3cml0kxuk0epPR2vMrZqFVXcfVhWKyOi4iIiIiIYt+dZ5H4bdllh9dPmUSF0W0CIZO6d3t5m0kP/YHRCJvkC+PJv0UncklT5IK25SZo2+4Unch19vETNFq8FH23bhedyJVUo8GIyhWxoU1LJnIRERERJUJuX5lrxtIV2Lx3f7TX1ColmtWuifLFiiJ1yhSo1rZTtO/vWjQXYRERePj0KfYdPWFvz2g0/dcPvlW92mjXqME3+zcQERERESUGMqkUTYMCUSNnDkw/fgJzT5+FyeJ8O4ngZ8/QZMly1A3IhX5lSiO1p6dTcSQSCRQ5qttbJRrPzLK3X7RFvnB6XDBGQL97IAyn/oam0igoAptDInXP52RSeKswpl0QOv91Gmar7avrG0xW9J4bjKW9i8DbQ/FNxkhERERERK4VoTej1+zziDI4Nh8TErjGtA1EMi/n2t1/qwf/TReXQ7ezP2yh90THk3ikgLrCb1AW7AyJTNzc51lEBMYeOIR1l6+IHpdCKkXbAvnRrXhReKlUouMRERERUfwksQlnwG7cXrFI3cZ4GfJfW5B0qVJhxdSJ8M3yX0nZNIVLRXvf05OHoi3fe/QYPwz+DaeDL717rW+XjujduX2sjp++nau3bqNcszbvlvctW4Bc2bNxF8QRs9mM0NDQd8s+Pj6Qy90+d5SIKE7x2EkJ0f3QUIw5cAjbrt8QHctDoUDXYkXQoWABqESeV9j0b6A/MAqGYxMBs0H02GTpC0NTbQLkmaPPS9zJ4v33MXbtdYfXLxWQHJM75YPUzZ/K57GTiIjHTiIinnNGJ9zy6T33AvZccPwBlt51/dC6fGa3/WEy3z8K3bZesDw8Jj6YTAlVsZ5QlRkAqcZHVCiD2Yx5p89i2rHjiHyvoICzKvtmxy9lyyBLUnHjInIHnK8TEfHYSeK45+Pj/2/bvgPRErmkUilmjxkZLZHLEZnTp8Pq6ZNROCjw3WtjZ8zGjgPRk76IiIiIiMh1Mvn44K86tbCkaWMEpEolKlaUyYTxBw+j2twF2Hnzlv0GhbMk6iTQVBkNr+5XoQhsBrEsj04iYnZpRC5rBEvILbijFmUyomr+1A6vf+jyK8zaeSdWx0RERERERK43d/e9GCVyVQxKiVblYnbP5VuxvL6DyBVNETGrhEsSuRR5msCrx1Voqo4RlcglzEd337qFGvMWYuzBQ6ITuXKlTIGFTRpier06TOQiIiIiIvdP5jp86my05erlyiB/bn+nYqlVKvw9cpi9ReNbg8ZPsmeGExERERFR7CmSMQPWtmqO0VWrIKXWQ1SsB2/eoOu6DWi3ag1uvHwlKpYsaRZoGy+FZ+ejkGUsDrFMl1cjfIo/dNv6wKr776EUdyC0mhzazB/Z0mgdfs/0bbdx5Iq4bUxERERERN/O0Wuv8Nfmmw6vnzGFBsOa57bPF9yJUE1Zt70fwifnguniCtHxZOmLwLPjIWibLIcsaVZRsW69CkGH1Wvx3doNuPdedwpnJNNo8L8qlbC+dUsUz+SeCXVEREREFDfcOpnr7OXL0ZbrVCrv0Ps+95R++jSp0aRWjXfL9x8/wbGz50WOkoiIiIiIvkYmlaJRYG7s7NgePxQrAqVMJmqjHb53H7XmL8T/9uzDG71eVCx5xmLw7HQYHk2WQ+qTRVQsWEwwHBmP8Im+MBybAptFfKsNV/FQyTG+fRC0Kse2vTCt+nXhRTwO0cX62IiIiIiISJxHr3T4dcFFWB0sYqxSSDG+QxC8NOLa2LuSzWKG4cQ0hAnzqcNjAYtRVDxJkkzwaLTE/gCPPHNJUbHCDQaM3LsfNecvxMG790TFUshk6FK4EHZ3ao9mQYH2+TIRERER0fvc+gzxZUj0pxry+udy6H3GL5S0rVI6+gn7ln0HnBwdERERERHFlKdSiV6lSmJnh3aomTOHqA1osdkw78xZVJo9D0vPX4DFanU6lvAkulJoudH9CtSV/wBU3qLGZtOFQLelB8L/ygPT1Y2i2kK6UtbUWvzWIsDh9d9EmdBnbjAMJkusjouIiIiIiJynN1rQZ+4FhEY6/jDJwMa5kCOdl1tsdmG+ZLq+BeHTgqDb1A22qJfiAqq8oK40Ct49rkIZ1BwSEclSVpsNK4IvouKsuZh7+gzMIuadgqp+vtjWvg36lS0NL5VKVCwiIiIiSrjcOpnrTXh4tOWUyZN9cj2FPPqTI0bj5ycsgTn9oi2fuRi9+hcREREREcW+9Em8Mal2TSxv3gSBqVOLivVap8PgnbtRb9ESnHz4UFQsiUINdel+8O55A8rCXQGpuApi1lfXEbmkDiLnVYL5yTm4g0p5U6NN+cwOr3/5QRhGrbrmNglpRERERET0H+E8/fdVV3HlYfT7KV/StFQG1CmSzi02o+XpBUQuqIrIRTVhfXFFXDCJFMpC39nnc+oy/SFRaESFO/PoMRosWoIB23ciRCeuYrF/ypRY1KQRptatjcw+PqJiEREREVHC59bJXB+2aVcpFJ9cz1PrEW055At9ypMmSRJt+eXr12KGSEREREREIhRMnx6rWzXHqKqVkdwj+nl9TF15/gLNl61Ez42b8TjM8RsZnyL1TAWP2tPg9cMFyP3+a9XuLPOdPYj4uwCi1naANewx4lqPWtlRMLvjNxDWHX+MlYcfxeqYiIiIiIgo5lYdeYQNJ544vH7erEnQp564KsmuYA1/iqj1nRE+PT/Mt3aKjif3rQavH87Do87fkHqKe2DoaXgEem3eiiZLl+Pis+eiYgnz3JFVKmFd6xYolimjqFhERERElHi4dTKXt2f0Er8RUVGfXM9Lq422/PTl50vwmi3R24O8DAkRNUYiIiIiIhJHKpGgcWAe7OrYDh0LFYRcRAsMweZr11FlzjxMOXIMepNZVCxZqgB4tt4MbZsdkKYOFBULNhuMZ+cibJIf9HuHw2aMRFyRy6T4o20gUnorHX7PmDXXcPb25x+cISIiIiKib+v8nVD8seaaw+sn91JibLsgKORxd2vIZoyCft//EDbJF8bTswCbuLaF0lS5oW29FZ5ttkKWOo+oWAazGdOOnbDPJzdcuSoqljCv7VCwgH2e2zQoEDKR81wiIiIiSlzc+uwxY7o00ZZDQt98cr1sHzzNcO32nc/GvP8o+lPwUpFtU4iIiIiIyDW8VCr8Wq4MtrRrjbJZs4iKpTebMenIUVSdOx9br10X3SJQ4VsZXl3PQlN3JiQin/KGKQr6vUMRNikHjGfnw2YVd/PCWSm8VRjTLghy6QclkT/DbLWhz9wLeBaqj/WxERERERHRl70MM6DPvGCYLY7NdYTz/rHtApEqiSpONq0w7zGeX4SwyTmh3zMYEPlwi0SbCpo6/8Cr6zko/KqJG5vNhp03bqLa3AWYcOgwokwmUfHKZMmCzW1bY0D5svZ5LhERERFRgkrm8s+ezaEkrZzZskZbPnzq7GdjHjp5Otpy8qTsTU5ERERE5E6yJUuG2Q3rY1aDesgi8nz9UVgYum/cjFYrVuHqixeiYkmkMqgKdoJ3zxtQlRkIyNWi4tnCHyNqbTtE/FMYpjv7EBfyZ/PBz3X9HF7/VbjRntBlNMdNAhoREREREQEmixX95gXjxRuDw5ujV10/FMieNE42n/nuQUTMKIqo1a1hC3soLphcBVXpX/+dlxXqAolMLircjZev0G7VGnRdvxEP3ny6oICjMvkkwYz6dTG7YT1kT55MVCwiIiIiStzcOpmrcN6gaMsXrl7/5HqlixSKtrzjwCHc+6AClyBSp8PfS5ZHey0oV06XjJWIiIiIiFyrXLas2NKuDfqXLQ2t0vF2gJ9y/MFD1FmwGL/t3os3enGVpSQqL2gq/Q/ePa9DkbcVxLI8OYPIueURsaQeLC8/PeeJTS3KZES1/I5XGwu+F4ZRq66KrnZGRERERETOmbjhBs7EoAV6jYJp0LxM9A4n34Ll1U1ELmuIiDllYHl8SnQ8RWBzePe4Bk3l3yFRe4uKFabX43979qHW/IU4fO++qFhahQJ9S5fC1nZtUCF7NkgkjlU/JiIiIiKKl8lcFYoXjXbSu/vwkU+uV7ZoYfh4e71b1hkMaNPrF1y8duPda/cfP0Grn/ri4ZOn0d5bsWSxWBk7ERERERGJp5TJ0KlwIezq2A6N8uQWFctqs2Hh2XOoNHseVgRftC+LIU2SEdqGC+H53QnIMpWCWOar6xH+V25EbfkJ1qgQfCvCnGtoswD4pfV0+D1rjz3G6iOPYnVcRERERET0sc2nnmDx/gcOb5oc6TwxuKn/N00wsupeQ7e1F8L/CoDp8hrR8WQZS8Cz8zFoGy+B1CezuLHZbFgZfNE+L5x35iwsIueF9QP8sbNjO3xXtDBUcnFVwoiIiIiI4kUyV8rkyVAkb2C0ylz3Hn58w0Ahl6Nrq+YftWSs1Ko98tWohyJ1G6NovSY4euZctHVSp0iOhtWqxOK/gIiIiIiIXCGlVovR1apgTcvmyJc2rahYr3U6DNi+E40WL8WFDx72cIY8fWF4djwAj6arIE0avVV8jFnNMB6bhPBJvtAfmQib2YhvQaOSYULHIHh7OH7zYfSaazgbg2oAREREREQkzqX7Yfht2RWH1/fSyDG+QxA0Stk32fQ2iwmGY5MRPtEXhqN/AhaTqHjSpFnh0WQFPDsdgjxjUdHjC376FI0XL8Ov23ciRKcTFSsoTWqsbNEMY2tUQypPxx+MISIiIiKK98lcguZ1akVbnrV81SfX+65FU/j7Zv/o9acvXtqrcn3YAkR4CmXikAFQiWzXQkRERERE305Q2jRY0aIpxgkXzLVaUbEuPH2GhouX2hO7XkVFiYolzC+UuRvCq/tlqKuOB9RJRMWz6V5Dv+1ne6Uu4+W136SlYcYUHhjdOhBSBx/YN1ts6DvvAp6/McT20IiIiIiIEr1X4Qb0mnMeRrPVoW0hFOIa1TqP/Tw/tgnzFdPVDQj/Kw90W3rCphNZaVjlDXWVsfDqfgXKPI1FVxULidJh0I5daLBoKc4/FfdATwoPD/xRrQpWtWyO/OnEPWhERERERPQ5bl/ztU7lCggJ/e9pb0/tpyceapUKy6dMQJMff8bVW7e/GFOo5DVhcH+ULy7+SQ4iIiIiIvq2pBIJ6gX4o7Jvdkw/fgKzT52ByWJxKpaQIiW0XNx2/QZ+LlUCzfMGQS51/pkXiVwFdcleUOZrA/2+4TCenG6vtuUsa8hNRC1rAFnmMtBUnwB5uoKITSX8k6N7TV9M2nTTofVfhhnRZ84FzOpeEEq52z8rREREREQUL5nMVvSecwHPQh1/kKJrtWwoFZACsc385Cz023rDfGev+GBSGZSFvoe6/FBItSlFh7NYrVh2IRgTDh3GG724h1AUUinaFcyPH4oVhZdKJXpsRERERERfIrF9i0e8vyGjyYR/lizH0g2bcPv+w2jf06hUqFiqOPp26Yic2bLG2RjJ9YQEvnLN2rxb3rdsAXJlF9nihpxmNpsR+l4Spo+PD+Ryt88dJSKKUzx2EjnvXmgoRu07gF03b4nejP4pU2JoxfIolCG9S3aJ5eU16Hb0g/nqBpfEU+RtDU2l3yFNkgGxRZgi9psfjJ3nnjv8nobF02NwU398azx2EhHx2ElElBjOOUcsv4LVRx85vH7Z3CnwZ8e8kDpadtcJ1rBH0O8eBOO5+cIkQnQ8eY6a0FQdC1lK18wrzjx6jKG79+DK8xeiY5XPlhUDypVF1mRJXTI2osTAHY6dRETxDY+dlKCTud734MlTPH3+AlF6PZL5JIFv5szQqPnERELEZC73wj80REQ8dhLFhUN372HEnn24FRIivkKwfy78UrY0Unt6umRsptt7od/WC5an58QHU2igKtEH6lL9IFG5ZnwfijKY0WbiSdx8EunwewY1yYVGJWIvyexTeN5JRMRjJxFRQj/nXHn4IUauvOrw+hlTaLC4VxF4eyhiZTw2YyT0h8bCcHgsYBLXrl4gTR0ETbXxUGSv5JLxvYiMxJj9B7H28hXRsbImTYqB5cuiHIsDEMW7YycRUXzEYyclmmQuSjyYzOVe+IeGiIjHTqK4IrRbXHzuPCYdOYZwg7g2GlqFAt1LFEObAvmhlMlEj81mtcB4fiH0uwbAFv5EdDyJZxqoK/4PyvztIJGKH9+H7r+IQssJJxCuc6xNpFwmwcxuBZE/mw++FZ53EhHx2ElElJDPOc/ceo0uU8/AbHXsNo6HSoYFPxWGb1rXP/Rhs1phPL8A+l0DYQt/7HbzGWEuuEiYCx4+igijUVQsrVKJ7sWLumwuSJQYcb5ORMRjJ4kjFfl+IiIiIiIit6GQydCuYAHs6tgOTYPyQExTkUiTCaP3H0Tt+YvsVb/EEm5QqPK3g3fPG1CVG2qvsCWGLeIpdOs7IXx6AZhu7YKrZUrpgdFt8kDi4EY0W2zoPecCnrzWu3wsRERERESJzdPXevSZG+xwIpfgfy1zx0oil1BpOOKfQtCtbS8+kUuoNFx28L/zooIdXZLIdfT+A9RZsBgj9+4XncjVKE9u+3yyU+FCTOQiIiIiojjj1vUsyzZtbf+vUDxMmK4cXLEorodERERERETxQHIPD4ysUhlNAwPx2+69OP/0qdOxhLaN7VatQVU/XwwoVxbpk3iLGptEqYWmwjCoCnWGbtdAmM4vECY9TsezPruAyPmVIc9RC5qqYyFLmQuuUtI/BX6skR1TNt9yaP2QCCN+nn0ec3sUgkbJJ9iJiIiIiJyhM1rs59XC+bWjvq+WDRWCUrl0g1teXoduR1+Yr25wSTxF3tbQVBoJaZKMLon3JDwco/cdwOZr10XHCkqTGkMrVkDetGlcMjYiIiIiogSbzHXt9p24HgIREREREcVjQWnTYGXLZlh98RLGHjiEEJ3O6Vjbb9zE/jt30bVoEXQqXBAqka1VpN7poW0wD+ZiPaDf1hvmu/tExTNf34Twm1uhLPQ91OWHQapNAVfoUCkLrjwMx67zzx1a/+rDcAxdchl/tBWqeompjUZERERElPgID7cPX37Ffg7uqPKBKdGlSlaXjcEa9Qr6fcNhPDENsDrWdv1LZJnLQFNtPOTpC7lkfAazGXNPn8HUo8ehM4sbX1KNBn3LlLJX5JJy/kJEREREbsKt2yzK2IuciIiIiIhEEi7INw7Mg50d26FN/nyiLtDrzWb8efgIqs1dgN23HKtW9TXydAWgbb8H2ubrIE3uJy6Y1QLjiakIm+QL/aFxsJkNoscnJGT91jwA2dJoHX7PjnPPMGsnH84hIiIiIoqpBXvvY+tpxysLZ0+jtbdXlErFP0hhMxuhP/Inwif6wnhssuhELmmy7PBotgaeHfa5LJFLeMCm5vyFGHfwsKhELmFe2Dp/PntLxSaBeZjIRURERERuxa2Tuby0HtGWrVZrnI2FiIiIiIjityRqNYZULI8NbVqicIb0omI9ePMG363dgE6r1+Hu61CXJEwp/OvCq9tFaGpMgkSTVFxA/Rvod/RF+BR/GC+utD/dL4ZWLcefHfPCU+14NbKpW25jzwXHqnkRERERERFw5MorTNp4w+FN4aX59zxdOF8XQ5gvGC+vQfhfAdBv6wWbXtwcR6L2gbran/D68TKUAfVdUrH3QegbdF23AR1XrxU9ByuUPh3Wt26JoRXL2+eJRERERETuxq2TubJmzBBt+VXomzgbCxERERERJQy5UqbEkqaNMaFmdaT2dLza1Kfsu3MH1ectwMRDR6A3iW8/IpEroSrWA149b0JV/GdAphAVz/r6DqJWNEHErFIwPzguKlbmlB4Y3UZonej4ewYuuoQbjyNEfS4RERERUWJw70UUflkQDKuDz2EIhbj+aBuITCmjPxQfU+ZHpxAxpyyiljWENURk9WGpHMpiPeH1002oS/xkn9+IJcyzJh85imrz5mPnTXHjS6n1wLga1bC0WRP4p0opemxERERERIkymatY/nzRlq/fYZsOIiIiIiIST3gyvI5/Lmzv0A5dCheCXOr81MhkseCvY8dRbe58l7VelHokg6b6BPuT7IqABqLjWR4cQcTMYohc2QLW0HtOxykVkAI9a/s6vL7OaEHPWefwOsLo9GcSERERESV0YVEm9Jx5DuE6xx8Q+amOH0rkSu70Z1rfPEDk6taI+KcwLPcOQix5rrrw+vESPGpMhNTD+XG9b++t26g+bz4mHzkGg9ni/NikUnQsVBA7OrRDvQB/l1QKIyIiIiJKtMlcjWtUjXZSvXnP/jgdDxERERERJSyeSiX6lS2NzW1bo2TmTKJiPQwLs7de7LJ2vb0FiCvIkvtC22w1PDvshyxdQdHxTMFLETY5J3Q7B8CmD3MqRtvymVGrUBqH138cokefuRdgslid+jwiIiIiooTMbLHil/nBuPs8yuH31CyUBq3LOTd/sRnCods9GGGTcsB0fhHEkqXND237vfBssQ6yFDngCo/ehOH7dRvQWZhbvXFu3vJW8UwZsbFNK/xargy8VCqXjI+IiIiIKFEncwX4+aJ+lUrvlhev24i7Dx/F6ZiIiIiIiCjhyZ48GeY1aoBpdWsjnZeXqFh7bt22twCZevQ4DGbxrRcF8ixl4NnlBDwaLoTEO3o7+hgzG2A4OAphk/xgODUDNkvMxig8cDO4qT/yZPJ2+D2nb4VizJrrTgyWiIiIiChhG7/uBo5eC3F4/YCMXhjcJObVpWxWCwynZ/07D9j/P8CshxgSr3TwqD8Pnt+dgiJrObiC0WLB9OMnUHXufOwS2VIxrZcXptSuiQWNG8IvhWsqhRERERERfStuncwl+L3fz/DLmsX+/wajES179sHTFy/jelhERERERJTACDdDqvj5YnuHtvixeFEoZTKnYwktQP48fAQ15y/Ewbv3XDM+qRTKvK3g3eMa1BVGAEqtqHi2yOfQbfgO4dPzwXRje4zeq1LIMKFjXqRM4viT7SsPP8SKQw+dGCkRERERUcK06vBDLD34wOH1k3kqMaFDXqiVMZurmG7tQvj0AtCt7wxbxDOIovCAuvwwePe8DmX+tvZ5iiscuXcfteYvxPiDh6EX8VCMQiZD16JFsL19W1TPmYMtFYmIiIgoXnL7ZC4fb2+snjYJhYMC7cu37j9AheZtsWT9JntyFxERERERkStpFAr8VLIEtrVvg4rZs4mKdfd1KNqvWoMfN2zCk/Bwl4xPovSAutwgePe8AWWBjkIWmqh41ueXELmwGiIWVIfl+SWH35cqiQp/dgyCUu74tHLMmms4ecPxqgNERERERAmVcF48evU1h9eXyyQY3yEIaZKqHX6P5cUVRCyqhcj5lWF9dgGiSCRQ5m9vn4eoyw+FROTDJW89i4hAz42b0WblatwOeS0qVtmsWbC1XWv0Ll0SHkqFS8ZHRERERBQXJDabzQY3duD4Sft/zRYLZi1fhT1Hjr37no+3F8oVK4LAXDmRPnUqeGm1UMjlMf6MMkULu3TM9O1dvXUb5Zq1ebe8b9kC5BJ5442cZzabERoa+m7Zx8cHcid+N4mIEhMeO4nc177bdzBizz7ce+/8xhkeCgW6Fy+GtgXzi6r69SHL0/PQbesN8+3d4oNJpFAW7Ax1hd8g9Uzt0Fs2n3qCgYscTwLz0Sqw6OfCyJDCA2Lx2ElExGMnEVFsi41zzvsvotDqzxMIi3K8AtWgJrnQqIRjLdetkS+g3zsMxlP/AFYLxJJnLQ91tQmQp80HVzFbrVhw5hwmHTmKSJEP7mdM4o1BFcqhQrZsrMRF5CY4Xyci4rGTEngyV5rCpWL9M56ePBTrn0Gxi8lc7oUn6UREPHYSJTQGsxlzTp/BtKPHoRPR8kOQPVky/FapAoplyuiy8QnTOvP1LdBt7wPry6viA6q8oC49AKriP0Gi+PqT/5M23sDc3Y63k8yWWot5PQvB20Pc0/I87yQi4rGTiCi2ufqcMyzKhLYTT+LO8yiH39O8dEb80jDnV9ezmfQwHJ8C/f7/AYYwiCVNngOaquMgz1nLpUlSpx4+wtBde3Dt5UtRcVTyf1sqdipUCGoFHyYmciecrxMR8dhJCbzNIhERERERUVxTyeX2mwTbO7RDVT9fUbFuhYSg1YpV6LV5K55HRLhkfMKNFUXOmvDqdgGaWlMh8UghLqAhHPpdvyJsSi4YLyy1J4t9yY81fVEmt+OfeftZJPrND4bZYhU3TiIiIiKieEQ4/+2/4GKMErmK50yG3vX8vriOcL5uvLgC4VP8od/RT3Qil0STDJoak+H140UoctV2WSLXq8go9Nu6Hc2WrRCdyFXFzxfb27fFj8WLMZGLiIiIiBIcPqpAROTmXr8Jw75jx3E6+BKu3b6DR8+eITQsAnqDAWqVCt6eWvtXpvTpEJgzB3Ln8EPRvEHw8tTG9dApFhw9cw7Nuvd6t5w2VUocW7uc25oShIjIKGw/cAhnLl3GhSvX8CIkBGHhETCYjPD08IC3pycyZ0gP38yZkNc/J0oUzI/UKUQmrBDFUDpvL0ytWxv779zF8N17RbVe3HDlKvbcuo2fShZHq/z5IJeKf9ZGIlNAVeQHKAJbwHDgdxiOTQIszrcssYXeQ9SqFpAdmwSN0FYlU4lPrieTSvB76zxo8+dJe6KWI45dC8Efa65jQKOcbIVCRERERInChPU3cOTqK4fXz5LKA3+0DYRc9vm5gvnBMei29YLlwVHxAxTmE0W7Q1V2EKSapHAVi9WKZReCMf7gYYQZDKJiZfbxwZCK5VE2axaXjY+IiIiIyN24fTKXcJOaiCgxOnD8JGYsW4l9R4/DbLF8cp0onQ4h/38T+cLV69i0e5/9/1VKJcoUKYTalcqjbuWK9mVKGKw2KwzG/27Kv///RO8Li4hAYNU6n9woGdOmwaFVS0RtsO37D6HLgCGf/F6j6lUxftAvDsd6+fo1xvw9C6u37UBklO6T6wivP3v5Cjfu3sOuQ0fevZ4jaxb7sa5elUrwy5LZ6W0ixoHlC+1JZpS4CDcOtrRrjZknT2H68RMwmD/9t/prIoxG/G/vfqy+eNneerFA+nQuGZ9U4wNN1TFQFukK/c7+MF1cISqe5eFxRMwqCUXuxlBXHg1ZsmwfreOplmNip7xo9ecJhEU51opy5eGHyJbaA83LZBI1PiIiIiIid7fqyEMsOfDA4fW9PeSY1DnfZ1uTW17ftVfTNQUvc8n4FAENoa7yB2TJssOVLjx5am+pGPzsmUtaKnYuXMheOZmIiIiIKCFz+zPes5vXxvUQiIi+qdv3H6D/H+Nx4MQpp2MICT47Dx2xf42aNgPd2rRE6/p1mNRFlIgILRY+l+x38959nDh/AUXyBjkdf8XmrZ+NbzI7lsQh2Lb/IHr97493iakxdf3OXYyfOdf+devATmg1Gqe2iRjWr7Sfo4RLuIEgtPSo6++P4Xv2Yu/tO07HuvLiBZosXY5GeXKjb+lSSK71cMkYZUmzQttkOcxFe/z7tP6jE6LimS6thOnqeqiK9YS67EBI1EmifT9TSg+MbReEH/4+C4vVsd+NsWuvI2MKD5QKYKU9IiIiIkqYTt4IwehV1xxeX6h8O65dEDKn/HheYNOHQX9wFAxH/wTM4qpc2T8rXaF/q/BmKQ1XCtXpMf7QISw7Hwyxs+by2bJicIVyyOTj46LRERERERG5N/F9PIiIyGU27t6LKm06ikrk+tCT5y8waNxELF630WUxiSj+W7Vlu9PvDQ0LsyeLirVpzz50+mWQ04lcH2FSFcWRjD5JMLNBPfxTvw4yeHuLirXq4iVUnjMPi8+dt7cicRV55pLw7HwUHo2WQJJEZBUsixGGw2MRNtEXhhPTYLNET+AsmiMZ+tbP4XA4Iefrl/nBuPkkQty4iIiIiIjc0P0XUegzNxhmBx92EPzSICeK5EgW7TXhvNtw8h+ETfKF4eBo0YlcEu8M8Gi4CJ5djrs0kUt44GlV8L/zmqUiE7nSe3tjer06mFG/LhO5iIiIiChRcfvKXEREiYWQbNV31FhYP3Hj1kurRclCBVCyYH7kDciFZEl8kNTHG2ql0t567PHzF7h17z5OBV/E7sNHcf/xk49isG4MEb1vw649+F+fn6BUfLpdw5es37kHRpNJ1Aa99+gxfhwy/KM2sjKZDBVLFEO1sqUR4OeLdKlSQuuhgcFoQnhEBB48fYZrt+8g+Oo1HDx5Go+eimvTQORKFbNnR4lMmfC30Cr55CmYPtMm+WvCDAZ7GxLhBsiIyhWRJ01ql4xPIpVCGdQcCv96MBydBP3B3wFDuNPxbFEvodvUDYbjf0FTZSzkOWpAIpHYv9e0VAbcfhaJFYceOhQr0mBB9xnnsLhXESTzYntoIiIiIkoY3kSa7Oe5b6Icn0ML59JNSmWI9prpxjbotvWG9cVl8YNSekJduj9UxX+GROmaisBvXXn+AkN37caZT1ybjAmFVIpOhQvhh2JFoHHiugURERERUXzHZC4iIjew4+Bh9Bs97qNELm9PT3Ru3hjftWhq//9P0Xp4IFWK5MgXkAsNq1exv3bs7HlMX7TUHldoK0YJR/H8+XD30O53y29vmhM5InWK5Hj28pX9/0PDwrHz4BHUrFA2xhtv5eZt7/5fKpUiuY8PXoSExCjG8ElToTdEb3kY4Jcd00YMRa7s2T5aX+g4l8wnCTJnSI9ShQq8e11IZBWSy9bu2AVn/PJ9J3Rt1RxiqJRMPKH/CDcafi5VAvUC/PHbnr04dPee05sn+NkzNFi8FK3y5bXH9FKpXLKpJQoN1GX6Q1mgPfR7hsJ4eiZgc74KmPXFFUQurgV5tkrQVBsPWZog+9+nfvVz4MGLKBy95tjx4clrPX6afR4zuxWASiFzejxERERERO7AaLai15zzuPciyuH3fFjl1vLsInTb+8B80/nq2u9IpFAW6Ah1heGQeqWBK4UbDJh05CgWnjkHi8hrkSUyZcTQihWQPXn0ymRERERERIkJ2ywSEcWxpy9eosew/8HyQfWOnNmyYtfiuejbpeNnE7k+p1j+vJg/fjQOrliMUoUKunjEFJeExBm1SvXui0kkFBP1q1aOtrx6a8wvBt99+MheBfAtIbEqVQwvsL4JD7cnm74vY7q0WDdj6icTub4ke+ZM6NWpHQ6uWGRPbo0puUwW7XfKmS8mVdKnZE2WFHMb1sdfdWohjVfM/o5/2KJkwdlzqDpnPjZfvebSJG2pZ2p41PkbXj+ch9y3muh45tu7ED49H6LWdYI1/AnkMin+aBuIbKm1Dse4cPcNhi27wmR0IiIiIorXhPP24csu4/StUIffkzmlB8a2C7SfR1sjniFqw3cIn5bXJYlcwoMXXl3PwqPuDJcmcgn/TmGeIsxX5p0+KyqRK5VWi0m1amB+44ZM5CIiIiKiRM/tK3MVqtMo2vKpDavcMiYRkbMGT5hkr5DzvqBcObB6+hR4eTp+8/NTfLNkwsppEzFv1Vpo1GruJKJETqjg55clM278f6WgXYeP4vWbMCRN4u1wjJVb/qvKJWhUoyr+Wbw8RuM4cOIUTGZztNf6dO4Q48RVIncnJPpVy+GH0lkyY+rR45hz+gzMn2in7IjnkZHouWkLVl28hGGVKiCzj4/LxilLnQeebbb+27plex9Yn19yPpjNBuOZ2TBeXAZ1qf7wKtELkzvnRas/TyI00rHWMltPP0XWVB7oUjVmyZ1ERERERO5i5o472HTqqcPre2nk9vNmL4UZ+gPjoD/wO2CMED0OaUp/aKqOg9yvussfRLoXGophu/bgoIhqxAKZRII2BfKjR4liLqtGTEREREQU37l9Za6HT55G+3LXmEREzgi+dh2bdu+L9pqQdDVtxDDRiVxvCRdq2jdugGa1a3AnEZE9+eoto8mEDbv2xGirrN66I9rxqmb5mLdp/NT5V5kihbh3KMHSKpXoV7Y0NrZphaIZM4iKJdwoqT53Af46egyGD5IixVL4VYNX13PQ1PkHEm0qccGMkdDvGYywyTmR6uFq/NkhEAqZ4zePpm29je1nOFcjIiIiovhHeDhBOJ91lEwqwdi2uZH26XqETc4F/a4BohO5JB4poKk1DV4/XIAiRw2XJnIJ8xDhYZUa8xaITuQqlD4dNrRphYHlyzKRi4iIiIgoPlXmIiJKyGYvX/VRG6FeHdvaK2rFNWFcF65ew4HjJ3Hx+k1cv3MXIaGhiIiKgqeHB5ImSYIsGdKjeIF8qFSyuL3VWXzzIuQ1Nu7ag1MXLuLKrdvv/n1KhQJeWi0ypE2DAN/sKFYgH8oXLwqtRuNW8ePrfhVaim7eu9+eyCgkNL4MeQ2lUoGUyZIhr38uVC9XGlXLlGLruljSsHoVjJ4+892xR2i12LZhPYfee+L8BXubxbdqlCvjVGtDoRrYh3y8Ha8ORhRf+aVIjkVNGmHj1WsYtW8/XkRGORXHaLFg4uGj2HDlKn6rVAHFM7nuWC2RyaEq1AXKPM2gPzgahqMTALPB6Xi2sIeIWtMGvukKYlylAei53fHf9SFLLyNtMg2CsiRx+vOJiIiIiL6ls7dDMWRJzCrdjiz/Brn310LUoxPiByBTQlX8J6jLDIBE7frz6GP3H2Dorj24FRIiKk4yjQb9y5ZG/dwBvP5DRERERPQJTOYiGIxGnL9yFVdu3rbf1BduqodHRkKtVCKJtxfSp0mNQoF57F+e2pjfsCWiz//ubdy9N9prapUSrerXjdNNdvPufSxev9Fefef5q1efXCcySodnL1/h6q3b2Lb/IH6bNBW1K5bHgG7fIXP6dA5/VtdBw7Bl74F3y7983wk/tG4Ro/G26NkHh0+debf8e9+f0bJe7S++5014OEZNm4FFazfAbLF89P1I6OzJJvcfP8GR02cxa/kqaFQqexJM93atv/pvjM34R8+cQ7Puvd4tp02VEsfWLner/bp43UYMGPvnu+Vi+fNi+V//Lp+9dAU9fhuJG3fufvDhwKvXofbPXr5pC/IF+GPS0AHImS0r4rMhEyYjKFfOaNWw4lqGNGns+0T4WRKcOB+Mew8fIXOG9F9978rNH7dYdIbW4+PExcfPnsXLpFCimBKeiK/jnwvls2XFpMNHseDsOVg/SOx21O2Q12i9YjXqBuTCr2XLIIVW67pxqr2hqfw7VIW/g27nrzAFLxUVz/L4NPI+boj5matgwP0WeGT7+jHHYLKi58xzWPBzYWRMwXkIEREREbm3+y+i8PPs8zBZHDu/Tyt5gv9lXILsJ7fh46tHMafI0xTqyqMgS+r6aymvIqMwev8BrL18RVQcoT5Yi3x50atUCSRRq102PiIiIiKihCbRJXNZrdZoy1Kp23eajBVCVY1Ne/Zh79HjOB18EXqD8avveZto0LVVc95sJXIBIZFCSJ55X60K5ZE0SdxWp6nUqp1Dx4QPj63rd+7GwROnMGfs7/ZEEUcYTWZ7Utv7FZtiymQyRYvxqeSp9z15/gKNuvbArfsPYvQ5OoMBi9ZtRPC1G9i+YFacxbfarNH+ve//v7vsV2EfvD8uoZWfYPv+Q+gyYIhDYz53+Qrqf9cdq6dPgr9vdsRHg8ZNtCfqyWQyyGRS1K9aGe6icY1q75K5BKu27kDvzu1jlICaKnlyp1sjpkv9cfu2Ndt3om+Xjk7FI4qPvFQqDKpQDg3z5MbQXbtx5vETp2Otv3wVe2/dQZ/SJdEsbxCkLmyhIvXJDG3jJTAX6wndtl6wPDgiKl7m1zuwwGsPVhvqYoGhJSLg9cX1X0ea8OM/5zD/p0Lw0SpFfTYRERERUWx5E2lC9xnnEBr57zWQL/FEBFqplqCRah3koV9f/2tkGYpBU20C5JmKw9WEB09WBF/E2AMH8UbvfMVeQVCa1PbKwoFp0rhsfERERERECVWiy2QS2ki9T2gpldj0GDYSxeo3xf+mTLdXs3H05v7bRIOKLdvhnyXLP2oNR0QxI1TD+VCJgvnjfDOK+dUOefPGXinrzoOHcEdCclLHXwbGONHqfTbY4ix+fN6vZy5dxncDHUvkeve5oaH4bsBQmMxmxDdjZ8y2J3K9TVL8cej/sG7HbrgLoeKaUAnwrdXbtn/1PTsOHkZoWPi75fpVK9kT1ZxRsmCBj16bMm/RR9UKiRID/1Qpsax5U4yuWgVJNc4/mR5mMGDIrj1ovGQZLj9/DleTZywKz06H4NFkBaQin/SXwYwmqtVY7NkWDZRr7ctfcs9e4eACDCZX1CsgIiIiInItk9mK3nMv2M9bv0Q4762nWG8/D26mWgk5xCVySXwyw6PxMnh2PhIriVxXX7xA06XLMWjHLlGJXEnUKoyoXBErWzRjIhcRERERkYMSXWWuD9s6CW0EE5snIm/uCMlfQ/+cgnuPHtvbmRGRcy5dv/HRa/lz+7vN5vTQaFC+eFEUyxcEfz9fZEybBt6enlDI5fY2gjfv3cehk6exYvNWe2u+t6J0OnQbMhxb5s6AuxESRc5cvBztNS+tFs1q10C5YkXgmzkTfJJ4QyaV2f+Nz169QvDV6zh29pw9keXDSmrfOn583a86vQE/DPrtXfJwnhx+9laYxQvkQ+oUKWCxWnD3wSNs2LUH81atfVfJSyC0/523cg06N2+C+KRu5YpYsHo9XoSE/JfQNWS4vUKXkEgV17w8tahSupR9mwtu33+IMxcvoUCe3J99z6ot2z+q7uUsoTKX8Dux79iJd68J+71z/8EoWagAWtSphQolisV5pUKib0WopNUoMDcq+mbDmAOHsDL4otOxzj95inoLl6BtgfzoWbI4PJVKl7aIVOZpDEWuOjAcmwL9/hGAIczpeEmk4eihnoZ6ig34x9AZh83CDahPVxU7ezsUQ5dcxu+t80AqdV3lMSIiIiIiMYQHnocvv4JTN19/aS0Ulx9HV9UMZJI5/wDgOyovqMsMhKpYT0gUrm9VGGU0YfKRo5h7+gwsIh/obpQnN/qWKYXkifCheiIiIiIiMRJdMtfcVWujLftlyRxnY3Enws39QoG5USRfkP0Ga4qkSWE2m/HwyTMcOHkKe44c+6hF5ZwVq+1JAELbRfq0QYsv4fbTyMS3eWw2mC3/VViQy+TC3T+4g2xptPhfy88nK3xL9z9opySXyZAjaxbEtQC/7OjQpOH/V+5RfXIdT60H0qdJjbJFC+Onjm0xZPxkLF6/8d33hYQmoTVfaSdbsMWWzXv2R1vOmjEDVk+f/MmWb2//jQVyB6Btw3rQGwz2ZJb9J07GWfz4ul+FlolvWxsP7t4V37dsZk8IeJ/wd6dQUB77+Jp272VPHntr8fpN8S6ZS/hdXv33ZDT4vjtehrx+136y68BhkEqkqFmhbFwPEY1qVH2XzCVYuWX7Z5O5QkLf2M8F3sqVPRvy5PQT9fnCz4KQyPhhhVChaqjwJfy8CAmQ+XMHIF9ALuQNyGVPBFQqFKI+l8idJdVoMKpqZTTKE4DBO3fj+ntJtTFthSLceNly7ToGVyiHqn6+Hx13xZDIVVCX6gNl/rbQ7/0NxlN/A1bnq2Zlkj3ESI+hOGvOi2n673DD+unjy7azz5AuuQY9avmKGD0RERERkevM2nkXG09+vmV6dukt/KD+BwXlZ8V/mEQKZaEuUJf/DVLPj681ucKum7cwfPdePA7/rzK3M3KmSIHhlSugYPr0LhsbEREREVFi4hbJXB9WenDVum8JN8gfPX2GPUeP4/yVq9G+VygwDxIroTWSUBVDqBhTtUypz94c7dKiCW7cvWevyHLhyrVo3xs7Yw7qVamEtKlSfqNRxy9CItflB85XK6CE7f2qRwJvLy+nW5a50tZ5M2O0vlajwfhBvyA8MjJaYsj8NevcLplLOJa9b0iPHz6ZaPUpQgJUq/p17F9xFT++79dhPX+0/035ksJ5A9Hvu44YNvGvd69dvXUbt+7dR/bMmRDfErpWTZuERj/0jJbQ9f3AoZg5egSqlS0dp+OrULwokif1wavXofbl9Tv3YHivHvYqbR9au2NXtHaXQiKYWLlz+GHq8KHoNuS/qm3vE5LIhcpswtfyTVvsr2lUKhQIzI3ShQuiftXKyJw+nehx/PH3LIybOdfp9w/p2Q0dmzQUPQ6i9wk3PNa3bol5p8/an4jXOdlu9llEBH7csAnlsmbF0IrlkdEniUs3tFSbEh61/oKqaDfotveF+fpmUfHyy8/jH2037DBVwixDB7y0pfhonTm77iJdMjUalcgg6rOIiIiIiMTacvoppm659cnvJZO8QkfVPFRXbIdUIq66lUDuVx2aqmMhSxU7D6k+DgvD8D377MlcYmjkcnuFYKFSsMINrnMSEREREcVXbpHM9ePQEbGy7tcIFR9ccTMyvhGSRRpWq4Jendo5fGNcqGC2bsZUNOraI1oLMaFyyvzVa9G/a5dYHDFRwhSli4q27O2pRXw2tGc3e5tBoby8QKis427CPniqME/OHPEqfnzer0XyBn41keut1vXr2BNsdHr9u9eCr12Pd8lcbytYCQldDbv2eJc0JSRFdfl1CGaNHoEqZUrF2djkcrk9IXv28lX25ZDQUOw5fAxVy348plVbtkU7fxLOI1xBqFCWKf3f6P2/0bhw9fpX19cZDO8qdwk/I2WKFMKAbt8hr38up8cgJNgJX86ymJ1/L9GXCDc+OhcphBo5c2D4nr3Yfeu20xts3507ODrvPn4sXgwdCxWE0sU3VWQp/eHZahNMt3ZBt603rM8uOB1LuNFVTbkTZRUHsdzYGMsMjaGHJto6o1ZdQ9qkapT0/zjZi4iIiIjoWzh5IwRDllz66HUV9GiiXIUWquXQSP67ruEsaao80FQdB4Vf7NzHMFksmH/mLCYddv4hkrcqZs9mf4gknbe3y8ZHRERERJRYSZGIdW/bEpnSpUVi8/fIYZg6YkiMb4p7qNWYMmzQRxU7tu0/5OIREiUOBqMp2rKnh0eMY/QbPQ6ZS1Zw+Gv34aOILUJ7vpzZsr5bfv0mDPcePoI7EaqfvU+o2hif4scFV+3X71o0c3hdrYcHCgdFr5x57dYdxFf/JnRNtlfBestoMqFT/8HYeehInI6tUfXoF4NXbfu4AurNu/dx9tK/rTIFJQvmd2lFzsCcObB9wWzMGTMS5YsXtbecdYSQYLj/+ElUa9sZg8dPgkVEQhaRO0ufxBv/1K+L6fXqIO0Hf2diwmC2YPzBw6g9fxGOP3iI2KDIXgleXc9AU3cWJJ5pRMUSbny1Uy3EIs92qKbYDgn+a/lusdrQd14wrj4U1/qFiIiIiMgZN59E4OfZ52G2/FdxSzhfrazYiUWe7dFRPV90IpdEmwqaOjPg1fVsrCVynXn8GPUXLcHo/QdFJXIJ8xRhviLMW5jIRURERESUgCpzfWtaDw1+at8G3dq0RGLkI+LJGCEBTGivtefIsXevXbt9B2az2V7hg4gcJ7Q2NRj/ay0WpdfFePMJv3vvx/gai/W/G6GxIU3KFPaWeG/dvHcfmTOkh7vI658TV94rFy+08ls6eTySJvGOF/Hjitj9KlSELFu0cIw+0y9rFhw4cerdcsibN4gNAZVqIlIX8989Z3xY/cme0PXLIMwd+zsqlCiGuJA/t7+9+ubbFqE7Dx5GWEQEvD09362zaut/VbkEjWpUc/k4JBIJapQva/96FRqKQydP4+iZczgdfMn+s/d+i8dPJXXNXLYS9x49xrxxo+yVw4gSosq+2VEiU0b8dfQY5pw6A8v/V0yMqVshIWi5fCXqB/ijf7kySO5EMvmXSKQyqAp2hDJPU+gPjYHhyDjA5PxxNoU0BP0149BAuQ7T9N/hnCWf/fUogwXdZ57DvO75oXLh+ImIiIiIvuRlmBE9519BhP6/OX5e2Xn8oP4HOWU3xG88uRqqEr2gLt0fEpXzD3N8SahOj3EHD2HZhWBRcWQSCdoXLIDuJYomOhbEAAEAAElEQVRBq1S6bHxEREREROQmyVxB/jk/+70LV645vO6nSCVSaNQqeGm1yJoxA/IF5EKV0iXtVT/IOYUC80RL5hJuor58HWq/2U9EjvPQqKMlYr0Jj3C7zff85Sts3X8QwVev4drtu3j+6hUioqIQFaWD9RM3kT9MuBCSQtxJ01o1sGzjlnfL5y5fQYmGzdC8Ti3UqlgO+QP87Ukl7ho/vu7XzOnTwlMbs7+7ST6oPhMRGb0tqavojcYYJUS6mvDZM5euiLNkLkHD6lUwevpM+//rDUZs3LUXLevVfvc3fvW2ne/W1ajVqFm+bKyOJ7mPD+pWrmj/epv0JiRJnjwfjEOnzmDfseP2cX5ox8HDGPPPrBi3fv7l+07o2qq50+P9sGIpUWwSbpD8UrYM6gUEYMiu3Tj96LHTsdZevmJvv9i/bBk0yB3g8r9PEpUnNBWHQ1WoM3S7BsJ0fqGoeDlkNzFR2xeHTMXxj6EzHlgz4sUbA36aHYxxrbJBq3Jt60giIiIiog9FGiwYsOw2nr0x2JfTSx/iO9UslFEcdsnGUgS1hKbS75D6xKyjhqOEOf66y1cwat8BhIh8sC1/urQYUbkicqV0XeVuIiIiIiL6j1vcfdqxYPZnv5emcCmH16Vvw+sTN+StsVzthyghSpU8ub1l3Vth4RH2iyrukOwjVMIZMWU69h49Lur3290S1IoXyIcWdWthyfpN714T9sG0hUvsXz7eXigUFGhPuioYmNve6i8myb+xHT++7tekSZLE+DM0quhPdBpMcZdwldA1rF4Vf/w9y378Eazcsv1dMpdQHevB4yfv1q1etnSME/NcUcUwr38u+1enZo0RHhGJOStXY+KcBdDpo7etmLZwKdo0qId0qVM5HF9o66hWsa4PxS85U6bA0mZNsOriJYzZfxChH/wuOOq1To9ftu3AmkuX7TdisiVL5vKxSpNkhLbhApiL9YBuW29Y7h0QFa+U4iiKyU9gnbE2Fhhb48YTYPiquxjZLBvksrg/hyIiIiKihMlkseK3VXdw+7keXghDG9Vi1FNugELifHvCt2SZSkJTbQLkGYogttwOCcGQnXtw7MEDUXG8VSr0K1MKTYICIXWDa5hERERERAmVWyRzUfzy6NnzaMtC4knK5K6/8UOU0GVMl9bepvT96kdC+zqh5ZmjxvTvg9/7/vzJ7wVfvY7anbrGeFyL121Ev9HjYPmgJZwzjEYT3I2wzYQWcjOWrvgooSk0LBy7Dh2xf71N8iiaPy/qV6mEBtWrwEOtjvP4zorL/Sok44jlZDcxtyf8DLT4/8SpuJIxbRoUzZcXx86esy8fP3ceD548tb++auv2aOs2qlEVcc3LU4ue7dugWtnSaPB9d7x6Hfrue0IVr4VrN9irbREldMKNkyaBeVAxezZ7QtfqS5edjnX8wUPUnL8IPxQtgi5FCkEVCxXn5OkLwbPDPpiurIN+R19YQ245H0tiQSPVOlRV7sICQ0usu1MHEzbL0bd27FQwICIiIqLETXj4afymB7hw5zUaKjeirWoRvCXhouNKk2aFusoYKAIaxtrDnQazGf+cOInpx0/CJPKaUL0Af/xatgySf+OHvIiIiIiIEiO3T+bKmS1rXA+BPnDyQnC0Zd/MmdhiiMgJuf2yv0vqeevspcsxSuaSy+X2r09ROJFAs37nbvQe+QcSMmF7DfvpR3tLxH+WLMPG3XsRGfXp0vJmiwWHT52xf43+eyYGdPsOLerUitP4zkgM+9VZV3ZtfleRKjbdffgITbr9bG9p+ZZMJsNfw4egdsXyiGuNa1R9l8wlbI8123bguxZNsWn3vmjVBMsWLQx3OkccN6Af2vcdEO31gydOMZmLEpXkHh74o3pVNMyT29568earEKfiCDd2Jh05ik1Xr9mrdBXJmMHlYxVuUCkD6kORoyYMJ6bBsO832PT/JWTGlJckAt3U/6CeciP+udwJcz0boleDpC4dMxERERHR9K23ob+yCfO0M5BB5nyr83fUSaAuOxiqoj9CIo+9StEnHjzE4J27cSvEuTnCW9mSJcVvlSqieKaMLhsbERERERHF82Su/csXxvUQ6D037t7D6eBL0bZJ5dIluY0+I1sabeLcNjYbzJb/SozLZXLh7h3cgTvtE6Hd3oeElmZNalaPk/FEREZh0LhJn6wgVqNcGeQLyIXM6dMhRbJk8PTwsFdbkstl0dbt0G8g9hw59g1HDVicbBfo75sNE4cMwOhfeuNU8CUcPXMWZ4Iv4ezlK/YKWh96GfIavUaMxuXrN/G/Pj/FefyEvl+/FZUyejvH2HDv4SO07NknWiKXVCrFlGEDUa9KRbiD2pXKY+C4P6E3/NvOctWW7cicPj3CIv5rqVm/aiV7Apo7EapzpUyWDC/euzB99fbtOB0TUVwRkq82tGmFOadO46+jx6E3O9fuRbjR02L5SjTKkxv9y5aBj8b1VSMlciXUJX6CMl9r6PeNgPHEVMDqfHua9NLHGO4xHBfOrcEOzUjUqF3HpeMlIiIiosRr+9atCDrWH208LogPJpVBWbgr1OWGQqpNgdgSqtPjjwMHsTL4oqg4SpkMPxQrgs6FY6d6LxERERERfR7PwClGxv4z+6On6xvXqMat+Bn/a5k7UW4bs9mM0ND/qiz4+Ph8tnpUYlayUAGoVcp3yROC9Tv3YPjPPextxL617QcORUuIEAityoR2ZkLiiSMio6Ji3GLuw0pVMRUaFgYx1CoVShUqYP96W5VIaHd56ORpbNqzD0dOn41WuWnW8lUoViAfalUo5xbx3XG/UvRELqEV4PstioXtPmnoADSoVsVtNpXQGrRK6VLYsGvPu+TtP/6eGW0dd/x7L5yHCImTL06EREtgFNotuqK9J1F8I9xs+b5oEdTKlRO/7d6Lve+1c46pVRcvYc+t2xhQvizq+ueKlbYvUo/k8KgxEaoiP0C3ox/MV9eLihckvwicrItbzxoha+MJkCZh5QAiIiIico417BHuruqNwndWQCoXX9FbnrM2NFXGQJYyV6ztEuH60sar1zBy7368Enktp1SWzBhWsQKyJPVx2fiIiIiIiMhxjt3FjUPCzbjYtPvw0ViNn5Bs23/w3U3et+pXqWS/iUpEMeehVqN6uTLRXovS6bBs4+Y42Zz7jp/4qOLNzx3bOZzwI3g/YcURQiWo94VHxuxCk8Viwf3HT+BKws1qodVl+8YNsHr6ZGyZOwOpUySPts7fi5a5bXx32K/0r3uPHqNB1x4fJXL9OfhXt0yMalSjarTlOw8eRmtpmCenH9zRhy1lhd+x2Eg6IYpPMiRJghn162Ja3dpI4+XpdJwQnQ59tmxDu1VrcPe18+0Qv0aWIgc8W6yDtv1eyNLmFx0v+f1VCJ2YA7rdg2EzfFwNk4iIiIjoc2yGCOj2DEXon35Idnc5pBJxiVzSNHmhbbsLni03xGoi173QULRfvRa9Nm8VlciVUuuBSbVqYG7D+kzkIiIiIiKKQ25fKqdOpx8wY9RwZEqX1uWVg0ZNn4FpC5fiyYmDLo2dED18+hQ/jxgV7TUfby8M/ambyz/rRchrvHr9Okbvef+G89sED2EfU9wQtr2wD95fpk9r26Ae1m7fFe21sTNmo3KpEsiQNo2ozWZ5r9XlW9Yv/G48fho9YadSyeIx2ne3HzzEwydPo3+e9cu/i57a6Mlct+7dj9FnCm1fhSo80T7Txb//gTn9MLRnN/wwePi7185cuoyIyEh71a1vHf/93623T11+6d8bF/vVGsMxOtI+02azxqtjyYMnT9D4h5/w6Omzd68JCUZj+vdBw2qVP/lvcfWx81Pv/9LfxzKFCyJ5Uh+8+kTCRsPqVb44Hhtscba/HnyQ0JnEywtCKtfntvGnftbi088WUUxUyJoFRVu3xJRjx7Hw7HlY3qsEGROH791HjXkL8EPRwuhQsIC9AlhskGQsBXWnYzBfWATjnsGwhT92OpbUoodh//9gPDUTyvK/QZ6vHSRS92oVS0QUVzhnJyL6mE241nFhIYx7hsAW8UT0U/ASz7RQVhgOeVBr+3lobM07TRYL5p45i6nHTsDgRMX7t4R5dIu8QfipRDF4qVQfXX8iIoopnnMSEcUcj53uSR5HHcjcPpnr3OUrqNyqvb2KRY3yZV2WmPT9gGE4JbJnfGIRqdOhXe9f8fpN9FZmY37ti9QpUrj88+atWoPxM+eKihEeHh6tzR99W8JkPyIiItprsli66Rff+WbKgNKFC+LgydPvXguLiETXQb9h5u/DRCULhYdH3wcCIUHoc78bb8KjV66wmE0x+j2aPGf+R6/pdLovxkj7QUWqk+eD8fLVq4/aL37O9EVLP3pNqG7m6t//LB8kFFutVty9/wBpUqb45vE//N2yWW1f/PfGxX4V9sGXWq86Qq/XR1s2GWM27rg2a9kqPPwgkWto966oVrrEZ/8drj52hn0QSxAZGfXF7Vi1dEks2RC9OqBQTaxC0cJffN+HF3mNRuM32V9CsuH1O3ejvZYxberPfvantonwsxaffraInPF9UCDKp0+P0UeO4cqrV07FMFosmHjkGDZcvoJfihdD3tSpYm9nZK4DtKoIyZlpkJ7+CxKz85UFbJHPYNj0PfRHJ8Na+jfYMrmmjTERUXzGOTsRUXSSBwchPTgEkpfi7xfY5BrYCnSDtUA3mJSeQFjsVYq9+PwFRh09hlsiq+jmTJ4MvxQvioAUKWARrvl8cF2HiMgZPOckIuKxM6FIEQs5MQmizaLgTXgEOvQbiIHjJopuu7jjwCFUbtWBiVwOEm7Afz9gKC5evxHt9S7Nm6BOpQqi9gUR/WtA187QqNXRNsfZy1fQ/pdBeBmLLY0+lNTbK9ry6YtXHH7vvuMnsWbH7hh/ZoBf9mjLIW/eYPuBQw69d8/R49jm4LpifaqV44ctIt01flzsVwJ6tm2JupXKv0vkGtTtOzSqXsXtN03tCh8nORQJyuOyxMW3Nu/djwmz54s6xpnMZvxv6j8fvV6mcCGRoyNKmIQbNLNqVsPPRQrBQ8STRLdD3+C7rdvtiWFhBgNijUILW9G+sLQ5DmtAc9jstQKcJ3l1GbJ1jSHd0Bx4dc1lwyQiIiKieOz1TUg3toJsbQOXJHJZczWBpfUxWIv9AgiJXLEkwmjE2GPH0XnLNlGJXMK8QJgfzKlZ3Z7IRURERERE7iNeJHO9NXv5KtTq+D3uPXzk1A2/oX9OQZve/T+qMEWfJrTF+mnEKOw8dCTa67Urlcewn37kZiNykYxp09gr9nwo+NoNNOr2Mxat3wSD0RijmEJlpH3HTsToPTmzZ422vGb7Thw5c+6r71u3czf6jBprryYVU7myZUXqD6pzjZk5F3e/cpwXjku//DEhRp8VGhaGDv0HY+OefdDpHb/5HBL6BuNnR69OlTp58o9aRMZ2fGfFxX6lf6tZjfi5uz2ha+APndG0ZrV4sVmEtp+n16+I9vX3/4a6/HMionSYs2otqrbrgiET/8LJCxft5x2OevLiBX4YMgInzgdHe12o6le9bCmXj5cooZBJpWga4I9l9eugbKaMomKtu34DzdZuwM7bd2L0+xtjnmlgrTQZlua7Yc0g/vdbencXZEvKQrq3HxD10iVDJCIiIqJ4RvcK0n39IVtcGtI720WHs6UvAXOzXbBWmQp4pXPJED/5OTYb9ty9h+brNmD11esQcxYuzAeEeYEwPxDmCURERERE5F7cvs1iEi9Pe2Wuty5cuYbKrTti/KBfULvivxUvvubeo8f4bsBQe8vGD7VpUNel401IBoz9E6u2RJ/MlitWBFOHD7HfpI4t7Ro1cHjfvnXnwUO07zvg3bKXlxd8fHxiYXTkaEW39yVJkiTOesnGF60a1EVYVBR+/6DKzMvXrzH671mYvWI1KhQvhuIF8yMoVw4kS5IEPt5e9u0qVCwMC4+wH+uu3r6DQydP2xO5wiMjP/ocL0/Pz/5u1K9aGbOWr363bLZY0HXIcDSrVRMNqlVGnhy+0Hp42BPLnjx/gWNnz2PRuo2fPLa+pdFovvq72KxWDUyat/Dd8qvXoWjZ6xd0bdXc3l43U9o09spGQgUfoQ3j0o2bsf/4Sfu6QqvXNCmT4/yV/ypseHzmM4WUJCHxQ/gappyKovnyomShAvD3zY4cWTIjmU8S+3vftia8efe+vfrXwrXr7QlX72tUo+pHnxHb8d/y9Iz+ZKdEKvniNo6L/fr23/mW8HMa02Oy+oNqdQqlIl4e16eOGBpnx07JJ1o0arUesbIdP2wHqVQqHfoZEX7u1mzfZf9KlzoVyhQphPy5A5A3V06kTpkcPt7eUMjl0BsMePriJS7duImdB49g05599tc+1L5xA+TLkztG20T4WYuPP1tEYgg/8/80SI9dN29hxL79eBbx8TmDI0L0egw+cAg77t3H0ArlkCFJktjbMT6lYfPdA8v1zQjb2gfKsFtOh5LYLJAEz4X0+mooS/0KRdEfIZFH/7tDRJSQcc5ORImVzWyA6eQ0GA+MBAzRr8U4w+iVFd7Vx0KWs4792lVsehwWbj9333v7jqg4qT21GFyuLCr5Rq+WT0TkajznJCLisZPEcfvsip2L5qLLr0Oi3VQOi4hA5/6D0a5Rffz2c3eolMrPvn/znv3o9b9R0RLCBF5aLcYN7Ie6lSvG6vjjqxFTpmHuyjXRXiuSNxBzxv4OpUIRq5+dMllS+5fYm8pMHopb79/YF/YF98fX9WjXGkm9vT/ZUvZFyGss37zV/vXhdhZ6z3+NcJwU4pcvUeyz+6JgYB5UL1caW/cdfPeaxWLF4vUb7V/2fSmT2ZOBPiVLhvRIlTxZtEo5UunXfxd/bNsKK7ZssycSvSUcs0dPn2n/ensx7MOqH8JY/vptECa/lwhm/8zP/P7L3nvNYDThwIlT9q9o68hk9s/5UjWqjOnS4qcObT/6jNiO/36M9wnb50vbOC72qzSGY/yUD58KlUikieI44spj5yd/D2Lp76Pkg/ZnX9tfH/6MCB4/e45lG7fYv5w5zgnJk792++6Ln/up742bMQd/flAdL6aE9tMDf/xeVAyiuFAtV06UypYVEw8dwYKz52B1ssLWwXv3UWvhEvQoUQztCxaA4hO/466iyF0Pqlw1cWnDOHidGYUkknDngxnCYNz9K8yn/4G68mgo8jSJ9ZtwRETugnN2IkpMhGsxpsurod/xC6yvb4uOF2bzQkhQP+St3w8S+efvTbiCxWq1n6v/eegIoj64XhgTwllumwL58HOpkvD8wv0UIiJX4jknERGPneQ8t6+fmyldWmyYNQ2dmzX+6HvzVq1FrQ7f26syfUhIhBASIjr+MvCjRC6hqs3ORXOYyPUZY2fMxtQFSz7aZosmjoXHB5VSiMi1Wjeoi01z/kaQf06H1nckwaF04YLYtXguendu/9VkzAmDfoVflsyf/f7nEn4ypE2DZVMmwNvLCzHl5am1V/zTfOb4Ilxw+zCRS5gEjh/UH6WLFIIrCdvzS4lWmdOnw7LJ4+1jdsf47rRfiVzFkeOckJy/8M8xTp2nCD//QoUwMV9CO2+i+Eq4kTOoQjmsbtkMAalSOR1HbzZjzIFDqL9oCc49eYLYJJEpkKf+rzhb6QiWGxrCZBOXpGoNvYuolc0QMaskzA+OuWycRERERBT3zA9PIGJ2aUQtbyw6kctsk2GloQEOltiPfI0HxXoi18Vnz9Bw8VKM3LtfVCKXf8qUWN2yOQZXKM9ELiIiIiKieMLtk7kEQvLBiN49MXfs7/a2i+8LvnYdlVt3wLodu9+9dvfhI9Tq8B1mL1/1UawOTRpi4+y/7ZVG6GNT5i/C+Jlzo73mlzULlgo38z9o7UVEsSMoV05snz8Lf4/8DYUC8zgVQ2hh1rp+HexdOh8rp036YiLP+5Im8cb6mdNQrWxph9YXqlfUq1IROxbMFnVcLVEwP1b89SeyZszw1XXTpkqJxRPHommt6jH6jOQ+Pljz9xQ0q13DXp0xpn+HhKTi7QtmIXvmTHESX4y42q9En9OkZnXMGzfK/vuSMlkypzdU4aBALJ08Hv/8/hsTzolECkyTBmtaNcev5cpAI6KC39UXL9F48TIM27UH4Z9oh+pK9crmgbnMKLSNmI39Jsf+xn2J5cFRRMwsjsiVzWF5fdclYyQiIiKiuGENvY/IVa0QMaMoLPcPi453wFQSbSNn4Xn+IWhaORCxKdJotCdwNVi0FBefPXc6jnBe379saaxt3QJBadO4dIxERERERBS74lW/ourlyiB3Dj98N2AIzl76r+1iRGQUvh84FEdOn0GRvEH4dcwEhEdGRnuvkAQmVCapWaFsHIw8fpixZAVG/vX3R1ViVk6daE9SIKJv520yjfB1//ET7Dp0BGcuXsa123fw6OkzvImIeFetRqholTpFcnvSTe4cviiWP589OUqr0Tj12cl8ktiTLM5cvIRlm7bi+Nnz9jHo9Hr7Z6VIlhQZ06ZBxZLFUaNcGYcSsBxROG8gDqxYhFVbtmP7gUM4f+UqXr0OtVda9PH2QmDOHKhZoRya1qoBjVrl1GcI20X4GjugH06eD8bBE6dw8foN+3YVWlkK/0apVGrfdunTpIa/bzaULFjA/rlCQlRcxxcjrvYr0acIv8NCcuHbBMObd+/jxIULuHDlmr3iqvAV8uYNonR6ezU7tUoJT60WqZMnh79fdgTlzImqZUoiM5MNiVxKLpWiY6GCqObnh2G792Dv7TtOxRHqaS46dx47btzE0IrlUTWHX6ztqS5VsuDhi3AMPTcEgcZgdFP/jVyy66JimoKXwXRlLVTFf4a69K+QqGP3bzQRERERuY7NEA79wdEwHJkAmPWi412z+GGa/juct+RFpTxJ0bliOsSmPbdu2x+MeBwuop04gLJZs+C3ShWQIUkSl42NiIiIiIi+HYntw95V8YDQymbE5GmYsXSFQ+vnC/C3V2wQEpPo04SWlf3/GB/ttXSpUmHdzKn2Vpfu7uqt2yjXrM275X3LFiBX9mxxOqbEzGw2IzQ09N2yj48P5CIqPNDnj4Vymcye+PUtCMlj7/e4/9yY3m+JppDLv/oesZ/rys905N8ohiviC4ktQoLbW8L+VymVbrVfhXXfbzsnJLB9rcXn12IInyd8bkIWG8dO/QdVcYT9IOwPVxN+Jt9vIeqq/SWcpgpxXfl7+eE2cQXhWMy/c5TQCL9/267fwIg9+/D8gwdlYqqyb3YMrVgBaT6osuyqY+erkNcYuvIOjt0IgwRWVJTvRRf1bKSSvhAdX6JNCXWF4VAW6ASJLGH/HSKixINzdiJKiGxWC4xn5kC/ZzBsEc9Ex3thTYEZhg7YZaoIG6Qokt0Lw5tkg1wmiZVrnc8jIjB8zz77ObgYKTw8MLhCOdTImeObXTMkIvoUnnMSEcUcj50U75O53tq2/yB+Gv47QsM+/5RKl+ZNMLjHDwn+BrAYSzdsRq//jbbfsHlLaHm0bsZfsdLuKzYwmcu98A8NERGPnUSUMAitEscdPIwl587bK245y1OpRN8ypdA8bxCkLryp9Pa8U2e0oO/iW7j6KMr+ugp6NFauRgvVcnhIdKI/R5oyAJpq46Hwq+aCURMRxS3O2YkooTHd3AHd9j6wPgsWHUtnU2OJoSlWGBvBALX9tTyZvDCqWRZolP8+aOTKZC6rzYblF4Lxx/6DiDAaRcVqFhRoP+dOov533EREcYnnnEREPHaSOK4vzfANCa15erRr/dnv/9yxHYb36sFEri9Ys20Heo/8I1oil9Dqa8XUP+NNIhcREREREcUOL5XK3p5lRYtmyJkihdNxhBtTQ3ftQfNlK3Dj5Su4mnBjbWTTbMiU8t8208KNt0XGlmgVMQ8bjTVgsYmb+lpfXEbkwuqImF8VFhfcJCQiIiIi8SzPLyNiYQ1ELqgqOpHLapNgs7EaWkXMxUJjq3eJXFlTeWBix6B3iVyudCfkNVouX4nBO3eLSuTyTZ4My5o1wf+qVGIiFxERERFRAhFvk7kMRiN+GT0OwydP++w6U+YtxF8LFkdLVKL/bN6zHz2GjYzWFslLq8XSyRPg75udm4qIiIiIiOzyp0uLda1boF+ZUlCLqEJw+tFj1FmwCJOPHIXhvXa6rpDEQ44pnYKQ0vu/9sMhtmQYr/8ZnSOn45S5gOjPMN/agfBp+RC14TtYXdC+h4iIiIhizhrxHFEbuyJ8WhDMN7aK3oSnzfnQJXIaxup745XtvwcYUiVRYVrXAvDRKly6m0wWC6YfP4Ga8xfi5MNHTsdRymT4uWQJbGjTCoUypHfpGImIiIiIKG7FyzaLdx48RJdfhyD42nWH1q9Qohim/DYIyX18Yn1s8cXuw0fRvu8AGE2md69p1GosmzIeRfPljdOxOYNtFt0Ly+cSEfHYSUQJ1/3QUHuVrYN374mKkz1ZMvxetRIKpk/v0vPOO8/16DDlFMJ1HyaL2VBUfgJdVTOQRXYfoik9oS4zAKriP0Gi+LciGBFRfMA5OxHFVzaTHoZjk6A/MBIwhIuOd9+SEdMNXXDUXFS4VRLte94ecszpXgi+aT1dety8+PQZft2xE1eevxA19uKZMmJ4pYrImiypqDhERLGF55xERDx2UiKrzLVux25Uad3xo0SuZEmSYNHEsRjzax+oVf89iS3Yc+QYKrVsj6Nnzn3j0bqnQ6fOoOMvA6MlcqmUSiwYPzpeJnIREREREdG3k8nHB3Ma1sfEWjWQ3MPD6Ti3QkLQdOkKDNm5G+EGg8vG55fOE1O65INa8eF0V4Lj5qLoGDkDE3Q9EGpNIu6DjBHQ7xqAsMm5YLywBLb3Kh4TERERkesIz6Mbg5cjbEou6Hf2F53I9cbqjYm6H9E+cgaOmot9lMglnEdO7pzPnsjlKjqTCX/sP4AGi5eKSuRKqlFjbPWqWNC4IRO5iIiIiIgSsHhTmUtoqzh4wmQsWL3uo+8VyRuIv0f+hnSpU9mXL9+4aa/cdfNe9KetZTIZ+nRuj57t20AqjXd5bC4TULkWQt57kkiQOkVy5MiaxemYvTt3QLH8cZcIxspc7oVPXBAR8dhJRInDG70eYw4cxPILF0XFSe2pxbCKFVDZz9dl552Hr7xEz5nnYbZ+esqrRSRaqpagkXItlJL/HnRxlix9EWiqTYA8c0nRsYiIYhPn7EQUn5jvH4VuWy9YHh4THctoU2CNsR4WGVogAp9O1JJJJfizYxDK5E753xhEVuY6ev8BBu7Yifuhb0SNv0HuAPQvWwbJPFgVlojcH885iYh47KREkMx1+/4De3LWxes3or0ukUjwQ+vm+LVrl48mT5FRUeg3ahxWb9vxUbzShQti2oihSJk8GRKjbGUqI0qnc2nMmaNHoHbF8ogrTOZyLzxJJyLisZOIEpdTDx9h4I5d9mpbYlT188WQiuWR2tPTJeedW08/xYBFF/GlWW8ayRN0Uc9BBcU+uIIidyOoK/8BWbJsLolHRORqnLMTUXxgeX3XXoXLdHG5S+LtM5XGDH0nPLal++J6vzUPQN2i6Vxy3AzT6zF6/0GsCBb34ENmHx/8r0pFFM+USVQcIqJvieecREQ8dpI40njRVrFNx48SuextFf8cg8Hdf/jkxEnr4YGpI4ZgwqD+0KhU0b538ORpVGjRDgdPnIr18RMRERERESV0hTKkx4Y2LdGjRDEoRFRB3n7jJqrNXYBl5y/A6oLnjqoXTIP+DXN+cZ2ntrQYrhuIHyIn4ZLZX/Rnmi6tQvgUf+i294VVF70iMhERERF9mU3/Brod/RE+JZdLErmuWHKie+SfGKYb8tVErp61fD9K5HLW9us3UHXufFGJXMJ5dbdiRbGlXWsmchERERERJTJun8z1/cChiIiM+qit4q7Fc1GxZPGvvr9F3VrYMm8m/D5oIfgiJARNu/fCH3/PcvmYiYiIiIiIEhuVXI4eJYpjQ5tWKJAurdNxwg0GDNq5Gy2Xr8StV+IqfQmalsqIrtW+XiXrsiUA3aIm4beogXhqTS3uQy1GGA6PQ/gkXxiO/wWbRXwbRyIiIqKEzGYxw3BiOsIm+sJw6A/AbBAV75k1JUZE/YofIicj2JLnq+u3rZAZ7SpmhlgvIiPRbf1GdNuwCS8+uK8RE8L59Po2LfFzqRL282wiIiIiIkpc3L7NYprCpRxqq/g1kTod+v8xHis3b/voe09PHkJicvj0GVjMFpfG9PfzRcpkSRFX2GbRvbB8LhERj51ElLgJVbWWnr+AMQcOIdJodDqOQiZDt2JF0KVIYShlMqfPO4Vp75i117H0wAOHPlcJIxoq16C9xzIorZEQS5oiJzRVx0Geo6Z9XktEFJc4ZycidyKcp5lvbIVuex9YX1wRHc8k1WJuVFOsMjaAEdE7dnxOg+LpMbhJrs+epzly3BT+HSsvXsLofQcQZnA+EU2rUKB36VJolT8vpDxvJKJ4jOecREQ8dpI48eaRjmQ+PpgybKBD1bg+RavRYMqwQShZsAB+HTMBOr0eiZWwDYiIiIiIiGKLcOOpZb68qJg9O37bvQc7b95yKo7JYsHEw0ex+ep1jKxaCQXSOdf2Rrgx17deDryJNGHL6adfXd8IJZYam2GrqSrG+q6D3/NlgM0KZ1lfXkPk4tqQZ6sITbXxkKXJ63QsIiIiooTC8iwYum29Yb61U3wwiRR3UjdFrxv18drm+EPHVfOnxsDGn0/kcsS90FAM2rELR+879uDA55TNmgUjKldEOm9vUXGIiIiIiCj+c/s2i+/aKi6a43Qi1/ua1a6BbfNnIme2rC4ZGxEREREREX1aGi9PTK9XB1Pr1EIqrdbpzXTj1Ss0XbIcw3btsbdhdIZUKsFvLQJQOiCFw+8JtSVF5xvtsavgVsj9qkMs8+3dCJ+eH1HrOsIa/kR0PCIiIqL4yBr+FFHruyB8Wj6XJHLJs1fBkWLb0f56hxglcpUKSI7/tcwNmdS5RC6z1YpZJ0+h5ryFohK5kmrUGF+jGmY1qMdELiIiIiIiih/JXD+2aYk1f09ButSpXBZTSOTaOn8mmtep6bKYRERERERE9GlVc/hhW/s2aJ430OlNZAOw6Nx5VJu7ALucrPSlkEkxpl0g8mfzidH7/rdHis1Z/4G29TZIU+WBKDYbjGfmIGySH/T7RsBmjBIXj4iIiCiesJl00O//3X4eZDw9U1TlU4E0ZQC0rbdir/9cDNwRs/cWzO6Dse2CoJA7d4vkyvMXaLx4GUbvPwi92Qxn1fHPhW3t26JugD/bcRMRERER0TsSm9DMPRFbuWUbGteoFtfDIJGu3rqNcs3avFvet2wBcmXPxu0aR9gLnYiIx04ios85+fAhBu3YjVshIaI2UrUcfhhYtjQUJtO713x8fCCXy7/63rAoEzpPPY1rjyJi9JnDWwSgdsFUMJ6dC/3uQbBFPodYEu/00FT6HYqgVpBI3f55KyJKADhnJ6JvzWa1whS8FLpdv8L2RlwrQoFEmxLqCsOhLNAJO86/xK8LL8Iag7scARm9MKNbQXiqv37e+OFx02C2YMm165h9+oy9Mpez0np52VsqlmMHESJKoHjOSUTEYyeJk+ivFDORi4iIiIiI6NspnCEDNrRpiR+LF4VCRPLStus3UHPBYqy/fgMxfUbJ20OB6V0LIFvqmLV+HLb0MnYFv4KqUGd4/3QTqjIDALkaYtjCHiFqTVtE/FMY5jv7RcUiIiIicjfme4cQMbMYola3Ep/IJVdBVeoXePe8AVXh77H3UggGLLoUo0Qu4fxv6nf5HU7ket+5Z8/QZsMm/HPylNOJXEJDx9b582Fr+zZM5CIiIiIios9K9MlcRERERERE9G2p5HL8VLIE1rdpifzp0jodJ8xgwKgjx/DDtp24/yYsRu9N5vl/7N0FeBN3HwfwbzypC8WdUtzd3d0ZOtgYYwzYGMyYsA2mjOEwwWUw3N3d3Yq7ttTjyfvc8VIIRZpcSpv2+3mevO/umvzz53q9S3Lf/H5qTO5XBjmCdcl+jHCh8ItZp7Dj9EPINL7Q1R8Jv4HnoSrZFVJZ7xxB3PTaiP+3DawRFySPR0RERJSarJGXED+/PeKm1oD11kHJ46lKdIbvgHPQNfwZMq0/dp55iE9nnoTViSRX9iCt+Pov0Eft1HPHGU34de9+vL92A67FOPea81kFgoKw4K1O+LZeHfionZsDERERERFlLB7bZjE6Nhb7jx7HhWvX8SgqWly2/v/bMKO/+jy1p0dvGNsspi0sn0tExGMnEVFy2ex2zD12HKN27ka8yeTyhlPL5RhQpTL6VKoApRMVv25F6NFr3CHcjzYm/7mUckzsWxoVCgYlrrPcPAD9usGwXt8NyeRKaCp9CE2tryH3evocRETuwPfsRJSSbPpHMG4fCeP+cYD1aTtsVylyVYGu8Wgoc1VOXLc/PBID/joGkyX51bEy+akxbUB55A7xcur5t1y6jG82bsbdOOfacz9LeG36fsUK6Fe5ovilBiKijICvOYmIeOykDBbm2rJnHybMmot9R4/D9pJSxncP7nrh+m9Gj0PEo8e97QU/fDIIQQH+KTZXenMY5kpb+CKdiIjHTiIiZ92JjcXwTVuw+dJlSRuvaObM+KlRAxTLkjnZj7l6Lx69xx9GZFzyw2Q6tQKT3i+DMvkDEtcJb6/NZxbDsOFT2B5dgVQyXSA0tb6BpuIHkClZvYGI3IPv2YkoJditZpgOToFh63DY9ZGSx5MH5IW24S9QFesAmUxoTvjY4UuP0H/KURjMyQ9y+XkpMfXD8iiY3SfZj4mIT8APW7dh1bnzkKJk1iz4qVFDFArJJGkcIiJPw9ecREQ8dlIGabMYERWFtwYMRpdBQ7Dn8NGXBrleRXjTt3jdhqe3tetTZK5ERERERETknGy+vpjSuiXGt2iGEG/nKiY868z9+2g7Zx5+3bETBrMlWY/Jm8UbUz4oI17oSy69yYoP/zyKE1ejHd5zqou1h++As9A2GgVopX15yK5/BMO6jxE7oRhMZ5eJYTEiIiKitEQMs59bidgJxaFfM1B6kEvjB22DX8TXU+riHR2CXMLrLqEilzNBLiGAP/G9MskOcgn/nqWnz6DR9JmSglw6pRJf1q6FhV06M8hFRERERETpM8x1/fYdNOzWG1v3HZA0TpdWzR2WF6xaK3FmRERERERE5C7CxbomhcKwrldPdCpZ3OVxrHY7/jpwCM1nzcb+GzeT9Ziw7L6Y2LcMvDSKZD9PvNGKD6YcwanrTwNdAplSA221T+A36CLUlT4E5Mkf80VskReR8G8bxE2vA8vtI5LGIiIiInIXy51jiJ9RH/HzWsIWES5tMLkC6oofwO+ji9DW+BQyldbhx2dvxOCDKUeRYLQme0itSo7x75VGibzJC9jfjI5G78VLMXTtekQZDHBVtTy5sebtHuhdviwUTrT/JiIiIiIieiLNv5OIi09Aj8Gf4da9+w7rVUolqpcvh57tWid7rEL58yFPjuyJy6fCL+Dug4dunS8RERERERFJ46/VYmTDBpjbqQPyBQa6PM7VR1HoumAhvt64CbFG42vvXyKPv3jBT7jwl1xxBiv6TT6KMzdikvxM7p0JXs3Gw7f/KSgLtYBU1qvbEfdnecQv6QlbdPJCakRERETuZou5jYSlvRE3pSwsV7ZIHk8Z1gy+/U/Cq/lEyL1Dkvz8wu04vD/5KOIMyau6KlAr5RjzbimUD339a0mrzYYZh4+g6YzZ2Hn1Glzlr9Xgl8YNMaN9W+QKkFahlYiIiIiIMrY0H+b6/Z/pOHfpssO65vVq4+CKRVg0eSx++XyIU+PVrlzRYXnHgYNumScRERERERG5V6VcObGqZzf0r1wJSglVDf49fhKNp8/CpouXXnvfcgUCMbp3KSgVT1v6vE6s3oL3Jx/BuZuxL/y5IqQwfLqugHfPTZBnLQVJhFZGx2YhZlwY9Fu+hd0YJ208IiIiouS+DDHFw7D1e8SMLQjT0eni6xIp5FlKwLvHBvh0WwVFSJEX3ufy3Xi8N+kwohPMyR5XeB03qldJVC4U/Nr7hj98iE7//ocRW7cjwZz853hek7CCYnXZdsWLObSGJCIiIiIiSndhrgcRkZixcEmSVol///QDsoZkcmnMUkUKOywfPX1W0hyJiIiIiIgo5WiUSnxcvSqWd++KUtmyujzOvbg4vL9sBQauXI2H8fGvvG/VIsH4tWcJKOTJvxAXk/A40CVUjngZVYF68H3/MHStp0Hmmw2SmPUwbvteDHUZj0yD3Zb8lkNEREREzrDbbDAdnYmYsWEwbP0WMCdI2oAynyzQtfobvv2OQhXa4KX3u3Y/Hn0nHcajuOSHrITXb7/0KIGaxV59/cBosWDs7r1oNWsujt25A1dl8fHG5NYtMb5lc4R4e7s8DhERERERkceEuVZv3Q79M60wcmbLipFDPpb0zZZC+fM6LIdfuSppjkRERERERJTyCoVkwn9vdcI3dWvDS6VyeZw158PFKl1LT5+B/RXVJOqWzIzvuxSFM28/o+LNYuWIi3deHuiSyRXQlO0Fv4Hh0NT+BlDpIIU99g70y95B7JRyMF/aLGksIiIioueZr2xD3J8VkLD0bdhjb0vbQEotNDWHwW/QBWjKvSu+LnpVkOvdiUfwIMaU7OGFHP7IbsVQr1TmV97v6O07aDV7Lsbv3QezzQZXdS5ZQqzG1SC0gMtjEBEREREReVyYa8d+xxaIb7dvA51Wk+R+zoS7cmR1/Cb3tVsS34ASERERERHRG6GQy9GjbBmsfbsHauZ1/KKOM6IMBgxdux69Fi/Fzejol96vWfls+KbTi1v+vIxQOeK9iUfElkCvItP4QFf3OzHUpSrdA1LZ7h5H/Mz6iJvTAtYH5ySPR0RERBmb9WE44ua1Rvz0OrDeOSJ5PFWpbvAbFA5d/RGQaXxfed/EIFf00y96J8fwt4qicdmXV3KNN5nww5at6DhvPi5GRMJVeQICMLdTB4xoWB++mqTXK4iIiIiIiNJ1mOvc5csOy7UqVZA8po+Xl8NybNzLvzFNREREREREaU8Ofz9MbdcavzZqAH8JF9B2Xb2GpjNmY8bhI7C+pCpDm8o58FXHwk6NGxlnEit0Xb336kCXQO6fE95tZ8Ln/UNQ5K0FqSzhqxA7sTgSVg+ALf6h5PGIiIgoY7ElRCJhzUeInVAMlnPLJY+nyFMDPn0PwLvdbMj9c732/q4Gub7qUBgtK2Z/6c93XLkqvu6beeQYXl6b9dUUMhl6lCiG5d3eQqVcOV0chYiIiIiIyMPDXBGPohyW8+R48ZsxZypzaTVqh+X4BL2LsyMiIiIiIqLUIrwPbFmkMP5t3QIN87lepSvBbMaIrdvR6d//EP7wxeGn9lVz4ov2hZwa92GMCX0mHcH1BwnJur8yezn49NoKr7eWQh4UCklsVpj2T0DM2FAYdv8Ou8W5i6FERESU8dgtJhj2jEHs2FCY9o0FbBZJ48mDCsCr82L49N4OZY7kfUnb1SDX0DZhaF/txeGqR3o9hqxZh96Ll+JWTAxcFRYUhGnNm+KDcmWhVSpdHoeIiIiIiMjjw1wJeoPDsrdOJznMFRvv+EG6t9eLxyQiIiIiIqK0L0inw/e1amBUvTrI4uPt8jjH7txBq1lzMW7PXpis1iQ/71Q9Fz5tE+bUmMKFyD4TDyc70CW8t1UXaQ3fD09D12QMZLpASGKIhmH9EMSOLwrT6UWw212tQ0FERETplfD6wHRmqViJy7DuY9j1jySNJ9MGQNvod/H1jLpo22R/di8GuSYcdjrINahFKLrWyv3Cf9eqc+fRaNpMLDtzFq7SKBX4pFpVTGveBIWCg1weh4iIiIiIKN2EuQL8/ByWY+Nf36Lide49903roIAAyWMSERERERFR6qqeKydWd++GLqVKujyG2WbDuD37xFCXEO56XpdaufFJq4JOjXkvyihemBQuUCaXTKmGpsog+A66CE2VjwC5tOoPtkeXkbCgA+Km1oDl5gFJYxEREVH6Ybl9GHHTaiNhflvYIi9KG0yuhLryQPh+dBHaaoMhUya/FXZikCvG5NRT9mucH73qJa3Qeic2Fu8tXY6PVq1BpN71zhxCK8XVPbujT4VyUMrT9KUUIiIiIiJKZ9L0O5DgQMeg1bVbt194v+TX5QKOnD7jsJwlU7BLcyMiIiIiIqK0xUejxvcN6uHfzh2QL9D1qlYXIiLQYe58jNi6DQkms8PPutfJI1aAcMb96MeBriv3nPuCktwrCLomf8B3wBmoirSBVNbruxH3VyXEL+oKW9R1yeMRERGRZ7JF30T84h6Im1Ie1ms7JI+nLNwSvh+eglfTsZB7Ofd5u6tBrncb5MV7jfI5rLPZ7Zh77DgaT5+FrZevwFU+ajVGNKyP2R3bI6+E15RERERERETpMsxVKL/jm7GDx09KHnP99l0OyxVKlpA8JhEREREREaUdFXLmxKqe3dCvUkUoktna53lCQ8IZh4+i6YxZ2Hn1msPPhAoQHzYr4NR4wgVK4ULlxTtxTs9FEVwQ3m8tgU+vbVBkKwupzCfmIWZcIeg3DYPdGCt5PCIiIvIMdmMc9Ju/Qcy4MJiPz5Y8niJraXi/vQU+XZZDkamQ0493NcjVp2E+9G9awKGF4+XISHRdsBDfbtqCeJNz4z2rQWgBrO/dE51LloDcxdeRRERERERE6TrMVbtyRYfl/9ase+H9nn3T9ioXr17Hxl17HNZVKy/9g3AiIiIiIiJKWzRKJT6pUQ1Lu3dBsSyZXR7nZkwMei1agk/XrkeU3pC4/t0G+cTWPs6IiDWhz8TDCL/tWoBKma8WfPoehFfbmZD55YAkFgOMO35EzJhQGA/9BbvVIm08IiIiSrPsNiuMh6ciZmxBGLf/AJhdbz0okPlmg67NdPi8fwiq/HVcGkNKkOuDJvkTrwmYrVZM2ncAzWfOwcGbt+CqTF5eGN+iGSa1aoEsPj4uj0NERERERJTuw1z1q1WBRq1OXD5x9jyWrt/o0lhmiwUDhv8Am82WuC5rSCZUKVvaLXMlIqLUZbVaEZ+QkHhLMDy92EpEREQZV9HMmbG461v4rGYNaJQKl8dZcvoMGk2fiTXnw2G3C3W7gL6N8+O9ho4VpV/nUZwZ7008gnM3XQt0yeRyqEv3gN/AcGjrfg+ovCCFPf4+9Cv6InZyGZgvbpA0FhEREaU95kubEDu5LPTL34U97q60wVRe0NT+Fn6DLkBT5m3I5K69thJaT7sjyHXy7l20mTMPo3fthslqhavaFy+Gdb16okmhsGR/cZyIiIiIiCglKZGGhQQHoUfbVvh7/sLEdUN+/BW5s2dDuRLFE9e97g1WbFw83v38Kxw9fdZhff/uXRzCYkREqUEIHj1LrVZDpUzTh+c0ad+x42j3/sDE5WyZQ3B09dJUnRNlXM//XT+hUCig1WgkjS0ECBL0L/4WtVKpdMtrGyEEb3quLYU75v6qbSOFl07HD9yJ6JWUcjn6VCyPBgVDMWzDRuy/cdOlLRaRkICBK1ejfmgBDK9XF1l9fdCvSX5YrHZM23w12eNExZvx3qTDmNKvLIrm8nNpLjK1F7S1v4a67DswbPkapqPThZMEXGW7fwrxsxpBWbAJdI1GQZG5qMtjERERUeqzPjgH/fqhsISvkj6YTAZ16Z7Q1hsBucTqoBdux6HvpCOIjHM9yKU3mzFm915MP3wENgmvf3L5+2FEw/qoliePy2MQERERERGlhDSfFhjUuwcWr9uIyKgocTk+QY82fQegf4+u6N2hrRj4epmIqCgs37AZf0ydiQeRkQ4/K5gvL7q1aZXi8yciepXo2FgUqtvEYd2w/n0x4O3u3HBE6ejv+tmQ4eGViyGXu14cdfnGLXh/2Lcv/FnHZk0wbvgwSDV4xM9YuNqxvXVwYACOrVkmKWz6qm0jxd4l85EvV063j0tE6U/ewADM6dgeC06ewi/bdyLWaHRpnE0XL2Hf9Rv4vFYNdCxZAgOaF4AddkzffC3ZY8QkWMQKXZP7lUGJPP5wldwvO7xaT4W60gAY1n0Cy5UtkMJyYS1iL22AulwfaOt8B7mP6y0qiYiI6M2zxT+EYetwmA5NAWyuV6t6Qpm3NrSNf4cye1nJY525EYN+k48iOsHscpBrz7XrGLZhE25ER7s8D7lMhrfLlsFH1arCS61yeRwiIiIiIqIM2WZRkCkwEDNG/ehQZcJkNuOPqTNQqmlr1OjYTawe8az3vvgGDbr1RsnGrfDlb38kCXL5entj+q8/QqeVXl2CiIiIKLnu3H+A3YeOSNpgC9c4hqzcTaictXrL9iTrIx5FYdOuPSn63EREb4JwEbBzyRJY16sHGoQWcHmcOJMJX23cjG4LFuFaVBQGNg8VLzQ6NYbBgn6Tj+D4lcdfXpJCma00vN/eBO+uKyHPVEjaYDYrTAenIGZsKAw7f4HdzPbVREREaZ3dYoRh1yjx/G06MFFykEseXBDeXZbDu9cWtwS5hNc7QpDd1SBXjNGIz9dtQI+FiyUFuQplyoRFXTrjyzq1GOQiIiIiIqI0K82HuQQVS5XEXz9+Dx9vL4f1NpsNF65cFdsNPWvFpi04eT4cVmvSN6yB/n6Y+fvPCM2bO8XnTURERPS8RWs3uLxRHkQ+wvZ9B1J0oy7ftOWlbRwXrFqbos9NRPQmZfHxwaRWLTC+RTMEezm+13TGgZs30WzmbPx98BD6Ns6H9xvnd+rxcQYr+k05iqOXo9wSVFMVag7f/iehazYBMq9gaQMaY2HY+DlixheG6eT8JO+9iYiIKPUJ52fTqYWIHV8Ehg1DAYPrQSeBTBcIXdOx8O1/CqrCLd3S0v7wpUfi6x0hyO5KkGv9hYtoPH0mFp067fIcVAoFPq5WFUu7d0HJbFldHoeIiIiIiOhN8Igwl6BRrerYMGsqShYOc3mMEoXCsHbG36haroxb50ZERESUXKu3boPe4Fpbr6XrNsLygrC6O/33isCWUJlLCJS5k1qlgpdOJ+kmtMggInKFcHGySaEwrO/VE+2KFXV5IxotVvy6Yxfazf0XNcv6oH9T5yp+JRit+GDKURwId6wq7SqZQgVNpf7wHXQRmmpDAIW09kH2qGtIWPgW4v6uCsv1vW6ZIxEREUlnubEfcf9UR8J/HWF7dEXaYMLrhyofP379UHkgZMqnnTKk2Hs+Av2nHBVf7zgb5GpfIwv6r1iFD1eswoP4BJfnUC5Hdqzs0RX9q1SCWqFweRwiIiIiIqI3RQkPkj93LqyfNRUbduzG5Ln/Yv+xE8n6ZnDxsIIY2Ks7WtSr45ZvEhERERE5I2e2rLh5567433HxCVi3fQfaNGrg9EZctPZpi0WlQoGQ4CCxdaO7XL15S3x99Xx76tj4ePG/hSDZknUb0LdLJ7c959D3emPA293dNh4RkSsCdFr80qQRWhQpjK82bMLNmBiXxjl97z7azJ6HdyuUxwdN82HSmuRfVNWbrPjwr2MY1askahbLBHeQ6wKga/Qb1BXeFytsmU8vkjSe9eY+xP1TFarinaBt8BMUgc61lSQiIiL3sEVdg37jFzCf/Nct46mKtoW2wS9QBIfCnXacfoAh00/CZLE59bh3G+RFphwJaDxjFmKNrn0ZSuCtUmFozRroUrokvwREREREREQexaPCXAIhjCVU6RJuj6JjsP/YcRw/cw4PHz3Co5gYmM0WBPj5ISjAH0VC86NGhfLIljkktadNREREGVj7Jg0xZtqsxOWFa9Y7HeY6f/kKTpwLT1yuU6USbt+779Yw14KVaxyC8kULFhCfZ+KseU/vs2qNW8NcRERpSfW8ebDm7R74Y/cezDxyFDYX2gpa7Xb8eeAg8gUGon3dEli0JfkVDYULnYOnHsePPYqjYekscBdFUAF4d1oIy7Vd0K8bDOutg5LGM59aAPPZpdBU+Qjaml9CpvV321yJiIjo5eyGGBh2/gzj3tGAxfWQ0xOK7OWgazwayrw13b7ZNx+/j89mnYTF6tzrqQ61Q7Av7ij2bbwp6flr58uH7xvURXY/P0njEBERERERpQaPC3M9K9DfD41r1RBvRERERGlV4QL5xUqhp8IviMs79h8U2xWGBAUme4yFq59W5RK0b9oI46bPdtschRDXf2scn6Nt44ao+1yY68yFSzh5PlxsX01ElB55qVUYVqcWmhUOw5frNyL8YYRL41x59AhXHu1AhTL5cOaYDjJ78lr6WGx2fD7zpNiKqHWl7HAnZZ7q8OmzD+ZT86Hf+Dns0TdcH8xqgnHXrzAdmQZt3e+hLtcHMoVHf8RARESUZtmtFpiOToNh89ewx9+XPJ7MLyd0DX6CqkQXyORyuNuaw3fx9dzTsNqSH+Syw45KFe2Yd3W72MLaVYE6Hb6uWxstChdilw4iIiIiIvJY7n+nRkREHsloMqXac1ssFqRVqbVdTGZzij+HOQ1v9/RICF89IbQrXLZ+Y7Ifa7PZsGTdRofWh41qVnfr/HYdPIxbd+85VENt07A+ihYMFcNoz5q/co1bn5uIKC0qnS0blnXvikFVq0Al4SLnwQdXoMx3BRZt8ls3Ctc9h/97Bv/uuA53Ey7Yqkt2gd/A89DW/xFQ+0gaz57wEPpVHyB2UkmYwx0rPBIREZF05gvrETu5NPQr+koPcqm9oa37g/g6QF2qW4oEuZbtv41hc045FeSyqvTwC7uJLbdPSwpytSpaGOt79UTLIoUZ5CIiIiIiIo/Gr80SEWUwQjhpz+Gj2L7/IE6HX0D4lauIjIoWgz0qpRKB/v7ImzM7qpQtjYY1qqFcieIuhbOeDUHJ5QrotJrE5cMnT2HFpq3YceAQ7j14KLbJVatUyJIpGBVKlkCrBnVRv3pVyFPgQ8XU3C4vc+zMOWzbtx+7Dh7BlZs3xefVGwxQKhQICghAsbBQVC5TCq0a1EPenDlceo6Dx09iy9792HngEG7evYuIR1Hiv83H2wshQUEoV6IYaleqiGZ1azv8rsh92jZqgB/GT4bV+viD6YVr16PPWx2T9djdh47g9v2nH9q3qF8HWo17f0/PB7SEfS5H1sctvto1boCRE/9M/NnSdRvx7aD+4t8tEVF6plYoMKBqZTQOK4gvN2zE0dt3XBon2qQHMl2DMsEf6qjskNuS91b8lyXhYoWudxrkg7vJVDpoa34BddneMGz5BqbD/wB2m8vj2R6cRfycZlAWaABd49+hyFLCrfMlIiLKaKz3T0O/bggsFx0rKLtEJoO67DtiNU25bzakFCGILrx+SS47bDD53YfV7yHuJLgeCM/u64sfGtRDrfzuf81ERERERESUGhjmIiLKIIQwz5xlK7Fy81Yk6PUvvI8Q7rkfESHeDhw/ibHTZ6NGhXL4fvBAFAktkOznmrt8FT77eVTishCAWvrnBDFENHD4SDE09aIw1fXbd8Tb4nUbUKZYEYz+6nOnnjetb5fn7T58BL/9OQ37jh574c+F6k3i8+6NwNa9+/HTpL9Qq1IFDH3vHZQvmbww2d4jxzBywhQcOnnqhT+Pi08Qb1du3MSiNesxYsJkDH73bfRo2xqeSqhiJexnpYsWxrudOyCtyJwpGDUrlMPWfQfE5RNnz4uhwbB8eV/72IVr1jsst2/ytMqXO8TGxWPNth1JwmdPtGncAD9O+iux2kpkdDQ27tyDZnVruXUeRERpVcFMwZjfuSPmHjuOUTt3I8HFCpoWr2hYNXFQR2eDMiEAMshe+5jxqy8h3mDFgOYFUqTChNwnC7xa/glNpQHQr/sElksbJI1nubQRsZNKP3PBOKvb5kpERJQR2OLuwbDlW5gO/y0paP2EMn+9x0HrrKWQUoT3in+tv4LJ6y4n+zFWdTyMgTdhU7leEV14ZdS9TGkMrlENPmq1y+MQERERERGlNWyzSESUQbT/YBAWrFrz0sDSy+w8eBjN33kfG3bulvT8Qmilcc8+LwxyvcjR02fR9O33sOvQEaS37SKEjX4YPwnt3h/40iDXywiVwz789odkfZD68+S/0Kbvhy8Ncr3I3QcP8elPo9D/6+9TtfWm1CDXorXr8dXvYzHtv8VIS9o3beywvHitY0jrRRIMBqzZtj1xWaiWJQQk3Wn5xs1iNbgnhIpbzevVSVzOmTUrKpV2/OBf+LshIspIFHI5epQtg7Vv90CNvHlcHseusMIYdBOG4KuwKZJ3rp22+Sp+WXIeNifaFTlLkaU4fHquh3f3tZCHFJU2mN0mXoCOGVsQhu0jYTc79zqLiIgoI7KbDTDs+Fk8f5oO/Sk5yCXPVBjeXVfBu+fGFA1yCa9Pflsanuwgl11mhSHgFvSZL0sKchUICsKCtzrhm3p1GOQiIiIiIqJ0h2EuIiIS2xm+ql1afIIefT7/GmcuXHRpa8UnJKD7x5/iYeSjJD8TWgm+jN5oFB8nBLvSy3YRwkbvfDYME2fNe+X9hNaOUqpvDBg+AmOmzXrpz4WxX/VvE6qj9f/me3iaHyf+KQa5nhg2agxmLl6GtKJJnZrw9tIlLi9etzGx2tXLrN26Q6ye9kT7Jg3dXpllwaq1Dst1q1ZGoL+fwzqh1eKztuzZhwcRkW6dBxGRJ8jh74dp7drgtyaNEKDVujyOVReHhCwXYPJ+CDteH9Kav/Mmhs8/A4tVeoWOV1EVbAzfD45D12IyZN4h0gYzxcGw+SvEjCsE0/E5sNtSdu5ERESeSHhPaDrxL2LGF4Zh0xeAMVbSeDKvTNA1nwjf/iegKtQsRSp7PiG8LhFen8zbcSN599fGICFLOCw+rr+XVMnl+LBKJazo0RVlc2R3eRwiIiIiIqK0jG0WiYgymCyZgtGoZnWxyk7RggWQK1s2MVwifLinNxhx8do17Dp4GHOWrsCl608/jBOqNH3w9ffYMm+GGHJyxolz4Q7LFUqWwDud2qF6hXIIDgiAyWzG5es3sXrrNvw5dwFi4+MT7ytUCxr43Uhsnjv9leEjT9kuv/05FWu37UyyPkeWzOjRrjVqVaqIArlzwdfHWwx+RURF49T5cOw/dhzLNmzG1Zu3Xvsck+f8K7ZMfJZWo0bL+vXQvF5tlCpSCCFBQeJ84/V6nAm/iFVbtmHOshViQO2JVZu34Z8Fi/Bup/bwFG93aIPlm7bgxu07iR+Kf/7L72I1lW5tWqb29OCl1aJpnVpYuHqduHzzzl2xFWbVcmVe+phFax7f94l2bm6xePn6DRw8cdJhXdvngluCFvXriOE44e/1SRtQITjXr9tbbp0PEZEnEF4ftClWFDXz5sUPW7dh1bnzrg0kt8EUeEdsv6h9lANyy6vDYSsO3IHeZMWP3YpDpUy572bJFEpoKrwPdYm3YNjxE4z7xgAWo8vj2aNvIGFxdyj2joWu8Wgo89Zw63yJiIg8leX6HujXDYb15n7pgynU0FQeBE3NLyHXBSClGc1WfD7rFLaefPDa+9rkZpgCHr/mkaJU1qz4qVEDhIVkkjQOERERERFRWscwF1EKil/SE7b7ZzLcNhYqCygs1sTlBKUCMqTctwCdIc9cFN5tZyIjqla+LN7p2E6suPOyb2XqtBqUKBQm3t7t3AG/TP4bE2bNTfz5uUuXsWn3XjSsUc3leXz2/rv4qHdPhzlo1GoUCc0v3rq2aoG3Bn4iPtcTF65cFQNKg3r1gCdvl0MnTmHM9KTVsj7q3QOD3+2VJKwmhK1CggJRp0ol8fZ5v/ewbd8Bh8pTzzt78ZJYnepZ5UsUx8Tvv0aenDmS3N9bp0OFUiXE2zud2qP30C9xKvxC4s9//3sa3mrRFN5eXvAEQjvAJVPGo+37AxwCXUN/+g1yhRxdWjZP7SmiQ5NGiWEuweK1G14a5rr38CF2HDycuFyqSGGE5cvr1vnMX+nYLtHH2wsNqifdlwP8/FCvWmWHMKJQ0UtqmMtktojV+1ylVqvFSnZERKkh2NsLY5o3RYsihfDNxi24Fxfn0jg2TQISslyEOiYzVLGZIHtFEe2Nx+4jVn8Mo3uXhJcmZY9/Mq0/dA1/hrrC+2KlEPPJ+ZLGs94+hLhpNaEq2g7ahr9AEVTAbXMlIiLyJNbIyzBs/Bzm0wvdMp6qeEdoG/wMRWA+vAnxBgs+nnocBy4krcD+/GeEFq8oGP3vAIqnnxU6S6dUYnCNauhRprT4ZS0iIiIiIqL0jle+iFKQEOQSLlhkRM9GYthMJW2YN3aUU/cXwhFfDeiHR9ExmLt8ZeJ6oTKVq2Gu997qiI/fefuV98mWOQQLJ41F3bd64kHk07L70xcuQf/uXaB0c2jjTW6X0VNnJGmpN3Lox2KYLLlqV64o3l5m7PRZMFssiculixbBf5PGiBWhXid39myYP2E0GnTrjTv3H3+zVvx3LluF97p0hKfIlS0rFk8eJwa6hMpXAmG7Dxn5K+QyOTq3aJqq8xMq0gn7+ZNtvHLzVowc+tELW44uWbcRVuvTD7w7NHVvVS6h+tvzVdya1q4lBhhfpG3jhg5hLiHIePzsOTFk5qrf/poq3lz1/ccDPWr/JKL0qV6BAqiYMyd+27EL846fcG0QmR0m/3uw6KKheZQDCvPLg9T7zkfivYlHMP690gj0USOlKQLzwrvDv7BUHvS4esiNvZLGM59ZDPP5FdBUGgBNra8g1wW6ba5ERERpmd0QDcP2kTDuGwtYTZLHU+Ss9LjqZe6qeFOi4k348M9jOHU95pX3sylMMAbeglXrWtj9iWp5cmNEg/rIFeAvaRwiIiIiIiJPwq+xEBHRK33er49D+8B9R48nCSQlh9BG8PMP3kvWfYVqVN8O6u+w7u6Dh9i8e5/HbpfwK1exZY/j/JvVre1UkOt1bt69i5WbtyUuC5XGxn77ZbKCXE9kCgzEkD69HdZt2LkbnkYIpgmBrhxZszgElwaP+BkLn2tb+KYJ+02bRk/bGMbExb10Gz87VyHs1aphfbfOZceBQ7h9/77DunZNGr70/g2qV4Wfj88rK3sREWVUvhoNvm9QD3M7dUDeQNdbG9nUBugzXxIrWNhlL/9ahHABtde4Q7jzyIA3RZmrMnze3Q2vjgsgD5BYKdJqhnHPaMSOCYVx33jYrY/b+BIREaVHdqsFxgOTECOc93b/JjnIJfPPDa8O/8Knz943GuS6H23EO+MPvzLIJVTjMvk8REKWcElBLn+tBr82bogZ7dsyyEVERERERBkOw1xERPRKIcFBKFIgv0Pw5PL1G05vtW5tWjoVKmrdsB5CgoIc1u08eMhjt8vWvfsdloWg1dD3HENTUglht2erOFUvXxaF8jvfYqF5vdoOLScPnzwFk9m9F1jj9XqxtV5K3jIFBmDOH78ic3CwQ6Br0Hc/Ysm6DUhNz1fYer46luDsxcs4c+FS4nLtKpXEoKM7zV+52mFZ2FbCfvMyWo0GTevUdFi3bMMmt+8fRESerFKunFjVozv6VqwAxUtaOL+WDDD7ChdBL8CieflF0Kv3E/D22IO4fDfe9Qk7OzWZDOriHeE74Cy0DX4BNH6SxrPrI6FfMxCxE4rDfG6FS18aICIiSquE85r5/GrETioJ/ar+sCc8lDagxhfa+j/Bb+A5qEt0dnjvntJuPEwQg+SXXvG6w6o0QB9yCaaAO4Dc9XN600JhWN+rJ9oWL/ZG/41ERERERERpBdssEhFR4geMeqMRdlvSChDBz1WXuHzjJgrkye3UlhOqUDl1glIq0ahmNcxZ9rSV4ZHTZzx2u+w5fNRhWWhLV/iZMJg77Dt6zGG5fMkSsPy/5aL9mX/Pk4ukT////z/7/72EbR8U4I+IR1HisvDvv3PvPvLkzOG2uZZo1BIJej1SgxDoGjB8JBRCpasG9VJlDkVCC6BYwVCcvnAxMewXGRXlkLJftNYx4NW+iXtbLAoBxHXbn7ZMfBKiFLbLqwjzeLYal9CKc/2OXWhRr45L81CrVJLap6pUfDlLRGmPVqXE0JrVxQuRX6zfiDPPVUFMLrvSBEPIFSjjA6GJygaZPekx+l6UUbywOuG90iiR9821H5KptNDW+BTqsr1g2DocpkN/AranoXJn2SLCET+vFZT56kDb+Hcos5Vx63yJiIjeNOvdE9Cv+wSWy5ukDyaTQ12uD7R1v4Pc52kF6jfl/K1Y9P/zKB7GvLiimB02mPwewOz7QGwd7aosPt74rn491A8tIGG2REREREREno9Xv4iIMqDzl69gzdbtOHkuXPzv+xGRYqUkIeSSHLFxzpXJ9/bSIdTJ8NeTwNOzYS6hVaGnbpezF59WWBJUKl0S7nbi7HmH5T+mzhBv7hAZHePWMFdqEyqYzV+xOtXCXIL2TRvh9NjHYS6zxYIVm7aidf3HgShhn1u2YXPifX29vdGoZnW3Pr9QUctgdPwg/tn2jy9TtVwZZA3JJLY+fWLBqrUuh7mECnUD3u7u0mOJiNK6YlkyY3HXzph26AjG7d0Lo8W1sJPF+xGs2lhoHmWH0pA0sBWdYEafSYcxulcpVC3ytCLlmyD3DoFX84nQVOwP/fqhsFyQ1n7XcmUr4qaUg7r029DWGwG5X3a3zZWIiOhNsMXegWHz1zAdnfb021MSKEMbQ9foNyiyFEdqOHghEh9PPY44w4tfx1jV8TAE3oJdZZT0PF1KlRTD8ELraiIiIiIiooyOYS4iogzkwPET+PaP8Th6+qykcaJjnQtz5ciSBXK58519c2XP5rAcF58gVpqSUsUntbaLUL3oWflz54K7RUQ9rqSVEoQqTuRebRs3wIgJUxJbYy5etyExzLX36HHce/jQofWlTuveD7Sfra4lyJ87J8oUK/Laxwl/y60b1seUufMT1wmVxe4/jEDmTG82QEBE5AlUCgX6VqqAhgVD8eWGjTh485ZL49gVFhgyXYciwQ+aqOyQ21QOPzeYbBj49zH80LUYmpTLijdNkbkofLqvhvniRujXfwLbvZOuD2a3w3R0OkynFkBb/VNoqg2BTO3tzukSERG5nd2UAOOe0TDs+hkwSW+BLM9cDLpGo6Aq2BipZf3Re/hqzimYrUlDaXaZFSa/ezD7RIgtol2VNzAAIxs2EFtVExERERER0WPOX1knIiKPNH7mHLR89wPJgSWB2fy4dV9y+fn4uPQ8fj5JL9pFuzlU9Ca2ixBAi413/CDX39cX7iRUcoqJk/5h8cs8CRy5i7dOB683dFO+oG2gVqNG366dkZqyZMqEGhXKJS4L++C1W7fF/16xeVuSKl7udOHqNRw55di2tG3jhsl+fLsmDZPsHwufawtJRESO8gUFYm6nDvihQT14q9Uubx6rVwwSsobD7BWZ2CL5CYvNji/nnMK/O66n2uZXhTaAb7+j0LX6GzKpbaDMCWILx5ixYTAenfHCttdERESpTTg/mY7NRsy4QjBs+VpykEvmnRm6ln/Ct9+xVA1yCa8nPp918oVBLos2FglZLsDs63qQSyGT4f1KFbCqR3cGuYiIiIiIiJ7DylxERBnA3GUrMXLClNfeTyaTQaVUJql8ZTSZJIV5nr/QmOzHvaAdgVwm97jtIjxeuD3777Hb3Xsx0mqzJWkHKQSW5PKkQSZXvCgQJcXJ9SvwJpy5cBHt+w1CZHR04jqNWo1pv/6I2pUrIrW1b9II2/YdSFxeuWU7erdvjS179yeuy5ElM6qWLePW513wXFUugdDGMT4hIVmPz58rJwrkzoVL1284jNm/exe3zpOIKL2Ry2R4q1RJ1M6fD99u2oItly67OJANxqBbsHhFQ/MoB+TWp+Ew4eXGL0vC8SjOjH5N8ouvQd40mVwBTbl3oS7eCYadv8C453fAYnB5PHvsbeiX9oJp3zhoG4+GKl9tt86XiIjIVZarO6BfNxjW24elb0SlBpoqg6Gt8TlkWr9U+6UIn12MX3UJ0zZfTfozuQVG/zuweEdJbkX9U6MGKJo5s6RxiIiIiIiI0iuGuYhSkDxz0Qy5fYXgjtXyNOCiUCogk1Jv3Y0y4u8kKiYG34+bmGR9ycJhaF63DkoVLYw8ObIjJCgQ3l5eLxyj28efYtOuPS7PwdWKUc8/TrgY+aJqXWl9uygUCnHez7ZhjIqJhTsJYTMfby+xFeUTY74ZhtYN6yGjOnvxEtp/8JFDkEutUmHqryNRt2plpAVN6tSE1886JOj14vKqLduQK2sW6A1PL3i3a9LIrRfihQDiohdU0WrQrbekccOvXBWriyWnVSMRUUaXzdcXf7ZuiTXnw/Hd5q2I/P95wFlWbRwSsoRDHZMFqrhMDq+5/9pwBfejjRjWsTBUitQpyi3T+EJXfwQ0FfpCv+lLmI/PkTSe9c5RxE+vA2XhVtA1/BWKTGFumysREZFT56SIizBs/AzmM0vcsuFUJbtAV/9HyAPypOovwmy14bv5Z7Hq4J0kn/VZdNEwBtwGFK5/2U+jVOCjqlXRq3xZKOVsGkJERERERPQyDHMRpSDvtjMz5PYVWspFRT39hp5vQECSikb05qzdttMhRCSEQn7+7BP0bNc62WPExEoLHt28fUcMkAihJmdcvXnLYdnX29vpMdLKdgkKCHB4vovX3N/+KDggwCHMdeXG06pJGTHI1U6oyPXMsUgIcv3zywjUr1YlVef2fLvJpnVqYtGax+Gqm3fvYdzMua9saSiVUAns7oOHSAkLVq1hmIuIKJmE1x7NChdC1Ty5MXLrdiw742LLZ7kdpoC7j6t0ReaEwqJN/NGy/bfxINqIX98uAW9t6r0el/vngne72bBUHgj9uk9gvbZT0niWc8sRG74a6or9oa39DeReQW6bKxER0avY9I9g3PYDjAcmAFaz5I2lyFUVusajocxVKdU3fILRgiHTT2LPuQiH9TaFSQxxWXXSPhuqnCsXRjSsj7yBARJnSkRERERElP7x6y9EROnczgOHHJaFSk3OBJYEN+7clTQHvdGIcy60ETp25pzDcpHQ/PDU7VK8UEGH5X1HjsHdioQWcFje8dy/MaMQ9rX2HzgGuYTKZX/99D0a1qiGtKZD08YOy/cinn5wXrJIIRTKn8+tz7dg1VqklGUbNontR4mIKPkCdTqMatoYU9u1QXZfX5c3nU2thz7LBRj97sGOp62Xd5+LwDsTDouhrtSmzFEBPr23w6vzYsiDHF+3OM1mgWnfWMSOKQDDnj9gt/D8Q0REKcduNcO4bxxix4TCuPcPyUEueWA+eHVaCJ93d6WJIFdkrAnvTjjiEOQSqnGZvCOQkOWCpCCXr0aDkQ3rY3bHdgxyERERERERJRPDXERE6dzdh44VeGpXruR0haM79x9InsfKzVudur8QCNmwc5fDujLFinrsdqlatozD8ukLF5OE1aSqUbG8w/KB4ydx/bZja4SMEuSKePQ0yKVUKDBl5HdoXKsG0qIaFcoha0imF/6sQ5NGbn0uob3o+h2Of1fC9vHS6Vy6aTXq58aPxbrt0qqtEBFlVLXy5cWaXj3Qo0xp1xuUywCz330kZLkIq/ppu+pzN2PRY8xBXL7rWutrd1ckUxdtC98PT0Pb6HdA6y9pPLshCoZ1gxE7oRhMZ5bCbre7ba5ERETCecV8djliJxSHfs0g2PWR0jaKxg/ahr/Bd8BZqIu1F8+Lqe3mwwT0HHsQZ27EJK6zKQ3Qh1yGKfA2IH8aEndWw4KhWNerBzqVLJEm/q1ERERERESegmEuIqJ0Tm8wOCwr5M4d+ic81/LNVXOXrUJsXPIvIM5fuQaPop9+kCioXbkiPHW71K9eNUmLyF8m/+XWC45C+0D5M/8OobXliPGTkZGs3rIdDyMfOQSVJo8cjmZ1ayGtEn5nbRo1SLJemHvrF6yXYun6pJWzfvhkEC7v2OjS7fCqJWLVszdV+YuIKL3zUavxTb06WPBWJxQIcr11oF1lFC/AGv1vwy6ziuvuPDLg7XEHceTS0/NkapIpNdBWGwy/QRehrjQAkEtrA2mLvIiE+W0RN60WLLcyZnVSIiJyL8vtI4ifXhfx/7aGLSJc2mByhdge2O+ji9BWHyKeB9OC09dj0HPsIdx4qBeXheqeJt/HwXCbJsHlcTN5eWFCy+aY1KoFsvj4uHHGREREREREGQPDXERE6VxwYKDLrfcWr92Axes2uGUeDyIj8c0f45LdvvDHiVMc1uXOng21KlWAp26XXNmyokW92g7rtu47gN//mQ53yZMjO9o0rO+wbsWmLZgwyz2BPE/wSZ9e6Nulk/jfQnhu4g/foEW9OkjrOjRtBC+dFjrt01u9alUQEuS4n0olhCSfJVTWatvY9cBYcEBAktaV2/cfxN0HjpXviIjIOWVzZMeKHl3xYeVKUDoZOHeo0uX7uDWSRfO4NVJMggXvTz6KDcfupZlfidw7E7yajYPvh6egLNxS8njWazsR92cFxC/uAVv0DbfMkYiIMhZbzC3EL3kbcX+Wh+XqNsnjKcOaw7f/SXg1nwC5dwjSiq0n7+OdCYcQEfv4Cz9WVQL0mS/B5H8PkLn+xbP2xYthfe+eaBxW0I2zJSIiIiIiylgY5iIiSudKFi7ksLxo7Xos37j5lY+x2WyYNHseBn030q1z+XfFanz9+1iYzOaX3if8ylW0e38AomPjHNa/91ZHt5bkT43tMqhXT6hVKod1o/6ahqE//oqYOMd/74sI2+2/1WvRZdCQl95n8LtvJ2l9J1Tn+viHnxAd+/hCbnLoDUaxNWbnAYOxfrtjW7607ruPB+D9rp0x4buv0KpBPXiCogVDEb5lHQ4unZ94m/rLCLc+x/nLV3D8rGNrzya1a8Lf11fSuJ1bNnNYFirCLVyzTtKYREQEaJRKfFS9KpZ174KSWbO4vEnsSjMMIVdhCLwBu9wCk8WGT2ecxOxt19LUZlZkKgSfLsvh/fYWKLKWljye+fhsxIwrBP3mb2A3vv51FhERkd0UD/2W4YgZGwbzsZmAxEra8iwl4d1zI3y6rYQipEia2sBzt1/H4GknYDDZYJfZYPS/Iwa5bGrHKubOyOXvj1kd2uHnxg3hr9W6db5EREREREQZjbQ+BkRE5HYmswXxCa6XspfLFdBpn5brF6oS/TF1RmI7PyGQ1PfLb7Fi4xa0a9IQxQuFIcDPFwl6A27fu4c9R45h3vKVuHz9JlLC3/MXYtu+A+jZrjWqlS+HLJmCxZaHV27cFMNDQuDr+bBX6aJF0KtDW7fOIzW2S5HQ/Pj2ow8x7Lc/HNbPXrpCrKDVsVkT1KxUAaF5ciPAzw9msxkRUVE4eT4c+44ex5qt2xEVE4u8OXO89DkK5MmN3778FAO+dQwCCdt1+cYtaN2wHqqXL4tiYQUR6OcHjUaN+AS9GJ67cuOGGPg5cOwE9h49BoPx8bdzhd+Vpxn+0YepPYU05/mqXIK3WjgGsVxRt0olZA3J5FCN67/V6zCgZ7c3cswTqFSqJEFJIqL0onBICBZ26YwZR47ij117YLBYXBrH4h0FqzYW6qjsUOr98fuyC7gTacAnrcOgkLsvMC+VKn8dKN8/BNPx2TBs+hL22DuuD2bWw7j9B5gO/w1tvRFQl3kbMrlj22siIiK7zQbT8VkwbBoGe+xtyRtE5pMV2vojoS7dM82dd6w2O0YtC8e/Ox5XrxSqdxoDb4nhb1fJZTL0KlcWH1WrAh3flxEREREREbkFw1xERGnMb39NFW+uKlmkEDbMmuoQIGrXuKFYeepZq7duF2+vUyS0AIIC/LH70BGX51S2eFGx0tPZi5fE5QtXr+Gr38cm67GB/n4YN3yY2DLPnVJru7zTsR3CL1/BzMXLHNYLYSoh6CbcpOrQtDGu37qTZD9K0Osxb/kq8UYZi1AtS2gP+qyc2bKiRsXykscW/jaFfW78zDmJ6y5cuYojp06jbPFiKX7MEwiV2BjgI6L0TCGX453y5dAgtACGbdiEvdddax9oV1hhDL4Biz4KmqgcmLfjBu5FGTCyW3Fo1WnnYrNw4VtT5m2oi3WAYddvMO7+DTC7Hvy1x92Ffvm7MO4bB13j36Eq4NiWmoiIMi7z5a0wrP8E1jtHpQ+m0kFTdQi01T+FTOODtEZvtOKL2Sex7dRDsVqnUI1LCHtLUTgkE35s2AAls2V12zyJiIiIiIiIbRaJiDKEX74YglJFCjv9uEL582H++N+hk1geX6NWY/YfvyBPjuxOPU6ojPXfxDEIy5cX6Wm7/PL5EHwz8API5a51O05Ou8lP+vTC3z//AG8vnUvP4ezzUdq2ec8+3I+IcFjXqXkTt/1u33qu1aJg/qq1bhmbiIieyh0QILYv+qlRA/hpnlZidZZVF4uELOEwe0dg04n7eHfCYTyMMaa5TS1Te0NXdzj8BoWLVbUg8bxlu3cC8TMbIG5Oc1gfnHXbPImIyPNYH55H3LxWiJ9R1y1BLlWp7vAbeB66et+nySCXcJ5/Z8IhbD31AGZdFBKyXJAU5FIpFBhcvRqWduvCIBcREREREVEKcO0qMhEReRRvnQ5L/hyPLq2aJytApFQo0LtjO6yZ8ReyZMrkljnkzJoVa2f8jVYN6iXr/vWrV8XmuTNQolAY0uN2+aB7F2yaMw2NalZ3KhQntGKcO+a3ZLeS3L3oX7z3Vkeng2dCCExoyfjfhD+cmiOlTQueC1YJIa5OzZu6bfz8uXOhUumSDuuWb9gEgzHtBQOIiDydcAzvUKI41vXqgUYFQ10fSG6DMfA29CFXcOL2A3T/4yAu3I5DWiT3ywGvNtPh0/cQlHlrSx7PEr4asRNLIGHVh7DFP3DLHImIyDPYEiKQsGYQYicUh+XcCsnjKfLUhE/fg/BuNwty/1xIiy7eiRPP86duR8AQfE2s0mlXuNa2WVA+R3as6tENH1SuKIa6iIiIiIiIyP3YZpGIKJUvxnnppFdOepbXS0I7QnBp9Fef48MeXbFw9TrsO3Yc12/fQVx8PHy8vZEpMBC5smdFvapV0LBmNQQHBCQ+VqtRO8xTpXLt9CG0Jfzzx+/wZf++WLFpC3YdPIw79x/g4aMo6DRqZM0cgvIliqNVw3ooW6yoU2Mr5AqHOb5sO6Sl7VK0YChm/v4zrty4iS1792PXwUO4eeceIh5FIV6fAB8vL4QEB6NYwVBUKlMSjWvVgJ+Pc9/wzRqSCd8PHihW6tp18Aj2HDmKU+fDERkVjcjoaNhsNnh7eSHI308M5ITlyyc+V8VSJaFS8mWCu/6ulSm0LYWQ3rPPJeyTz4uOjcWew0cc7lelbGnkzp7NrXPp2roFTp6/kLhstlixZc8+NK1TK0WPeQKNWuX2MYmI0rrMPj6Y2KoF1odfwPDNW/Ag3rU2hDZNvFid41pMFvQYa8KvPUuiRlH3hPndTZm9LLx7bREvvus3DIUt4ul5x2k2K0wHJsJ0fDa0tb6CpvJAyJSuVzsjIqK0zW4xwrh/Iozbf4DdIK21oEAeVADahr9BVaR1mq5mve98BD6ZfhxRigcwZrkrhrld5a1W49Oa1fFWqZKQp+F/MxERERERUXogs9vt9tSeBJFU5y5dRu3OPRKXt82fhcIF8nPDphKLxYKoqKcfjAUEBKRYkIHSppmLl+Gzn0c5BEeW/jkhVedElNbx2ElExGOnq6INBvy0bQcWnTotaTeSm7TQReXE581L4a2audP0Lmm3mGA6NAWGrcNh1z+SPJ48MB+0DX6Bqlj7NH1Rnsgd+LqTMhLho2/zmSUwbPwMtshLkseTaQOgqf0tNBU/gEyZ9Ms0acmy/bfx3eKjiPe/CZvGtdD3E3Xy58N39eshu58vMiIeN4mIeOwkIuLrTnrTmK4gIiIiIiIi8mD+Wi1+btwQLYsUxrANm3AjOtqlcWxqA+JDLuL7TdG4eLcMvmhXBErF61tRpwbhArpQTUtVshuM20fAeGACYDW7PJ7t0RUk/NcRilxVoWs8Gspcldw6XyIievMstw5Cv3YwrNd3SR9MroS6Yn9oa38NuVcw0jKrzY4xK8Mx9dAhmEIeCF/ndnmsIJ0O39Srg2aFwhh2JiIiIiIieoPS5qeyREREREREROSUqnlyY3XP7uhdrqzr7Y9kgNnvAWZd2obuU7YjzmBJ078FuVcQdE1Gw/fDM1AVbSt5POuNPYj7uzLiF3aBLeqaW+ZIRERvli36BuIXd0fcnxXdEuQSWin6fngaXk3HpPkgV7zBgl5/7sCfZzbD5H9fUpCrddEiWNerJ5oXLsQgFxERERER0RvGMBcRERERERFROuGlVuHLOrWwqEtnFMqUyeVx7CoTDuqPod64BQi/41qlrzdJERwK786L4dN7OxTZy0kez3zyX8SMKwT9xi9hN8S4ZY5ERJSy7MZY6Dd/jZixYTAfnyN5PEW2MvDutRXeby2FIlMY0roLd6NRb9xC7Ik7ApvK6PI4Ofz8MK1dG4xq2hhBXjq3zpGIiIiIiIiSh2EuIiIiIiIionSmZLasWNq9Cz6qVgUqhcLlcSLk99Fi9mxM3XMSnkCZtyZ83jsAr3azIfPLKW0wixHGnT8hZmxBGA/+Cbs1bVcpIyLKqOw2K4yH/3l8vN4+ArAYJI0n880OrzYz4NP3EFT5asMTTNtzCs1nzsFD+V2xyqYrhIe9Xa4M1rzdHTXz5XX3FImIiIiIiMgJDHMRERERERERpUNqhQIfVqmMFd27omz2bC6PY5Wb8dOeTeg4azEi4hOQ1snkcqhLdYPfwPPQ1v0BUHtLGs8efx/6le8jdnJpmC+sd9s8iYhIOvPFjYidXAb65X1gj7snbTCVF7R1hsNvUDjUZXqK55O0LiIhAR1mLsaPezbCqjC5PE5YpmAs7NoZX9WpDW+12q1zJCIiIiIiIuel/XekREREREREROSygpmCMf+tTvimbh14qVQuj3Pk/nXU+nMaFp86A7vdnuZ/IzK1F7S1v4LfoAtQl3sXkLlYquT/bPdPI352Y8TNagzrvVNumycRETnPev8M4mY3Q/yshrDdk1g9UiaDukwv8XyhrfMtZBJDwG+CcB5ecuoMak2ZhqMPrrs8jlC9c3D1qljWvStKZ3M9+E1ERERERETuxTAXERERERERUTonl8nQo2xprH27B2rmdb11ksFmxmfr1qPnwiW4FR0DTyD3zQavVn/Dt99RKPPXkzye5eJ6xE4qhYQV78MmtQoMERE5xRb/AAmr+iN2UklYLqyRvPWU+erA5/0j8GozDXK/7B7x27gZHS2ehz9dt148L7uqQs4cWNWjGz6oXEms5klERERERERpB8NcRERERERERBlEDn8/TG3XGqOaNoafRuPyOHuuX0ej6TMx/fARWG02eAJF1lLw7rkR3l1XQZ6psLTB7DaYDv2JmLEFYdjxE+xmvbumSURELzrsmg0w7PwVMWNCYTowCbBZJW0neXAYvLusgPfbm6HMVtojtrlwvhXOu42nzxLPw67yUqrwff26mNupAwoEB7l1jkREREREROQeSjeNQ0RElEilVMJLp0tc1kq4UEhERERE7iWTydC6aBHUyJMH32zcgvUXL7g0jsFiwcit27HizDmMaFgfxbJk9oh/u6pQMyhDG8J0+G8YtnwLe8JD1wc0xsKw6UsYD06BrsHPUJXoLD4HERG5r52g+fRCGDZ8BlvUVcnjyXRB0NYZDnWF9yFTuN56+E079+ABvly/ESfuSqsIKVTn/LFRA2T19XHb3IiIiIiIiMj9ZHbhHTGRhzt36TJqd+6RuLxt/iwULpA/VeeUkVksFkRFRSUuBwQEQKlkdpSIiMdOIiK+7kyLNoRfxJDVG5BgNbo8hkImQ+/yZTGgShV4qT3n4rhNHwXjjh9h3DcWsJokj6fIWQm6xqOhzF3VLfMjSgl8z06ewnJjH/TrBsN6Y6/0wRQqaCoNhKbWMMh1gfAURosFE/ftx18HDsEioRKmVq7Gz03qo1nhMIaOXcDjJhERj51ERG8CX3fSs9hmkYiIiIiIiCgDaxgWil39eqNcpnwuj2G12/H3wcNoOmMWdlyRXjnlTZHrAqBr9Ct8B56DqnhHyeNZb+5H3D/VEL+gI6yRl90yRyKijMb66CriF76FuL+ruCXIpSrWHr4DzkLXeJRHBbn2Xb+B5jPnYNK+A5KCXGUy5RXP882LFGKQi4iIiIiIyEMwzEVERERERESUwflptVjwdmsMrdgACovrLbJvxsSg9+KlGLx6LSLiE+ApFIH54N1xAXze3S1W15JKaAkWO74I9Os/Fat/ERHR69kNMdBv/AKx4wvDfHK+5E2myF4ePu/shHenhVAEFfCYX8EjvR6fr9uAbv8twpVHj1weR2FV49OK9bHw7TYI0OncOkciIiIiIiJKWQxzEREREREREZGob83iWNK1C4LM2QC76xtlxdlzaDh9BhadPA27XcJAb5jQHtGnz154dfgXMv/c0gazmmDc/RtixxaEcf9E2K1md02TiChdsVstMB6cgpixoTDu/BmwuN72VyDzywmvdnPg895+KPNUh6cQzpfLz5xFo2kzsejUaQkDAcGWbFjatRveq1nCnVMkIiIiIiKiN4RhLiIiIiIiIiJKVCxXADYObIeKurKQm7Qub5logxGfr/9/ZZFI1yuLvGkymQzqEp3hN/ActPV/AjS+ksazJzyEfvWHiJ1YEubzqz0q3EZElNLMF9YhdlIp6Ff2gz3+gbTB1D7Q1hsBv4HnoS7VFTK553z0fS0qCr0WL8Una9YhUq93eRzhvF1OUwbrB7RF0Zz+bp0jERERERERvTme846WiIiIiIiIiN4If28VZvWrgd6Fa0MdnRWwy1wea/+Nm2g2czYm7t0Pk9UKTyFT6aCt+Tn8Bl2AunxfQCbtIxTbw3OIn9sc8TMbwHr3uNvmSUTkiaz3TiJuZiPEz24C24Mz0gaTyaEu10c8XmtrDYNM7QVPYbZaMWX/ATSdMQu7rl5zfSC7DOqorOhWoCbm9K+JAG+1O6dJREREREREbxjDXERERERERESUhFIhx+dti+Cn5rXg9yAMCoO3y1tJCHH9sXsPWs6agyO3bnvU1pb7ZIFXyynw/eA4lKGNJY9nubwZsZPLIGHZu7DF3nHLHImIPIUt7h4SVvRF7KTSsFzaIHk8ZYEG8P3gGLxa/QW5b1Z4kqO376D17HkYtXM3jBbXw87C+dnnfhi+blgNX3csCpWCH/kTERERERF5OmVqT4CIiIiIiIiI0q5WlbIjXxZvfDztGO4m3IfR/w6gcO2i88WISHT8dwG6lCqJoTWrw1ejgadQZCkOnx5rxZZg+vVDYLt/2vXB7HaYjkyF6dR8aKt/Dk3VwR5VSYaIyFl2sx7GvWNg2PEjYIqTvAHlIUWga/Q7lAUbi+1xPUms0Yjfd+7G3GPHIanxrk0OTVQ2hMgz47f3SqJCwSD3TZKIiIiIiIhSFb+mQ0RERERERESvVDKvP+YNroTSmfLA+14YlPEBkrbYvOMn0GjaTKwLvwC7XdKl7DdOVbAxfPsdg67ln5B5Z5Y2mCkehi1fI2ZcIZiOzYbdZnPXNImI0gThuGY6MQ8x4wrDsOlLyUEumXcIdM0nwfeDE1CFNfG4INeGCxfRePpMzJEY5FIm+MPrbhhKBefBv59UZpCLiIiIiIgonWGYi4iIiIiIiIheK0uAFtMGlEOLsjmhfZQL2gd5IbOoXN5y9+Pj8eGKVXh/2Qrcjon1qN+ATKGEpvx78Bt0AZoaXwBKaRXG7DE3kbCkB+L+qgjL1R1umycRUWqyXNuNuL+rIGFRV9ijr0sbTKGGpvpnj4+7FfuJx2FPIpznhPPdB8tX4l5cvMvjCOdd7cM80EbmRqtyuTFtQHlkC9S6da5ERERERESU+jzrXS8RERERERERpRqNSoEfuhZDoRy++GPFBSjuhcHkdw9mn4eAi8VRNl+6jH3Xb+CTGtXQtXQpKOSe870zmdYPugY/QlOhL/SbvoT5xDxJ41lvH0bctFpQFWkDbcNfoQgOddtciYjeFGvkZRg2fgbz6UVuGU9VvBO0DX6CIjAfPI3VZhOrcI3euRvxZrPrA9kBVVww1DFZoJIpMaRdGDpVz+lxlcmIiIiIiIgoeRjmIiIiIiIiIqJkEy4cd6+TB4Vz+uLTmSfxKDoblAkBMAbegk2td2lLChe4v9+yDcvPnMOIhvVRJHOIR/1G5AF54N1+LiyVBkK/bjCsN/ZIGs98dinM4augqfghNLW/hlwX6La5EhGlFJs+CsYdI2HcNw6wmiSPp8hZGbrGo6HMXQWe6Mz9+/hqwyacuHtP0jhykxaaRzmgMHshyEeNUb1KoGwBnheIiIiIiIjSM8/5uisRERERERERpRkVCgZh/pBKKJnHHwqzDrr7BaCOygbYXP+o4fjdu2g9ey5+2rYD8SbpQYA3TZmrEnze3QWvjv9BLrWCjNUM494/EDsmFMa9Y2G3eN72IKKMwS4cr/ZPQOzYUBh3j5Ic5JIF5IFXh/nw6bPHI4NcCSYzft62A21mz5MW5LLJoI7KCt39UDHIVTy3H/4dUpFBLiIiIiIiogyAYS4iIiIiIiIickmWAC2mDij3uNUTZFDHZYLXvYJQ6H1d3qJWux1TDx1Go+kzsfHCRY+sXKYu3gG+A85C2/A3QOMnaTy7PhL6tR8hdmJxmM8uh91ud9tciYikEI5H5vOrEDuxBPSrB8CeECFtg2p8oW3wM/wGnIO6RCePbCG4/cpVNJ0xC/8cOiyez1yl0PvA614Y1HEh4vm1daXs4vlWOO8SERERERFR+sc2i0RERERERETkMpVSji/aF0aJPP4Y8d9ZGMxqaCPywKqLgTHgNuwKi0vj3o2NQ7/lK1G3QH58W7cOcvhLC0W9aTKlBtrqQ6Au0xOGrd/BdGgKYLO6PJ4t4gLi/20NZd7a0Db+HcrsZd06XyIiZ1jvHod+3SewXN4sfcPJ5FCX7wttneGQ+2T2yF+EcM4asXUb1oVfkDSOzKoUq1wq9f5iiEupkOHTNoXQoVoOjwy3ERERERERkWsY5iIiIiIiIiIiyZpXyIawHD74ZNoJ3HioFy9EKww+MPrfhcUn0uVxt1y6jL3XrmNA1croVa4sVAqFR/225N4h8Go+AZpK/aFf/yks4askjWe5ug1xf5aHqlQP6OqPhNwvh9vmSkT0OrbYOzBs/gqmo9OF0lySN5iyYBPoGv0GReZiHrnxLTYb5hw9hj927UG82SxpLGVcIDTR2SCzPz7PZQvU4teeJVAir7+bZktERERERESegm0WiYiIiIiIiMgtwrL7Yu7giqhVLJO4LFyQ1kblgO5+fsjMGpfH1Vss+HXHLrSaPReHb93yyN+WIqQIfLqthHfPjZBnKSltMKG12bGZiBkbBv2W4bCb4t01TSKiFx92TAkwbPsBMWMLwnRkmuQglzxzcXj3WA+f7ms8Nsh17M4dtJkzDyO2bpcU5BLOj8J5UhuVMzHIVa1IMP4dUpFBLiIiIiIiogyKYS4iIiIiIiIichs/LxX+eKcU+jctgCcdoRQmb3jdC4U6OjNgd71NVPjDCHT69z98uX4jovQGeCJVgfrw7XcEulb/QOaTVdpg5gQYt30nhiuMR6bDLqGNIxHRi9htNpiOzULMuDAYtnwDSAyPyrwzQ9fyL/j2OwpVaEOP3OjRBgO+2bgZHebOx9n7D1wfyC4Tz4vC+VE4TwqE82b/pvkxvk9pBHir3TdpIiIiIiIi8igMcxERERERERGRez9skMvQp2E+TOxbBgHeKnGdDHKoY7PA615ByI2PL1q76r+Tp9Bg2gwsPX0Gdje0+XrTZHIFNOXegd+gC9DU+hpQ6SSNZ4+9A/2y3oibUh7my1vcNk8iytgsV7Yj7s8KSFjSE/YYiVURlVpoan4Jv48uQlO+D2QKJTyNcL5ZduYsGk6biXnHT0DK2Uc4DwrnQ+G8KJwfBYE+Kkx+vwz6NMwvnkeJiIiIiIgo42KYi4iIiIiIiIhSRNXCwVgwtBLK5A94+kGERQPdg3zQROYAbI/bSbnikV6PoWvXo9t/i3ApIhKeSKbxga7e9/AbeB6qUt0lj2e9ewzxM+ohbl4rWB+ed8sciSjjsUZcQPy/bRA3vTasd45IHk9Vsqt4nNPVHwmZxheeSDjPdP9vMYasWYeIhATXB7IpxPOfcB4UzodPlM7nj/lDKqFyoWD3TJiIiIiIiIg8GsNcRERERERERJRisgRo8Xf/suhdP2/iOhlkUCUEwetuGJTxT4Nerth/4yaaz5yNP3btgcFsgSeS++eCd7tZ8Ol7EIo8NSWPZzm3ArETiiNh9UDYEiLcMkciSv9sCZHQr/0YseOLwnx2meTxFLmrwee9/fBuPwfygNzwRMJ5RTi/COeZfTduSBpLON8J5z3h/CecB5/oXjs3/v6wnHi+JCIiIiIiIhIwzEVEREREREREKUqpkGNg81BM7Fs6se2i+KGETQnto1zQPsgHmflphRJnmW02TNy3H01mzMKOK1fhqZQ5ysOn9zZ4dV4CeVABaYPZLDDtH4/YMaEw7P4ddovRXdMkonTGbjHBsGcMYseGwrh3jHj8kEIemB9enRbB552dUOasCE+1/cpV8bwinF+E84yrZBYVtA/yiuc74bz3hK9OidG9S+KT1mFQKfgxPRERERERET3Fd4lERERERERE9EZUK5IpSdtFgdLoA697oVBHZwbsT6uVOOtGdDR6L16KD1eswu2YWHgimUwGddE28P3wDLSN/4BMK61ymd0QBcP6IWKlHdPpxbDb7W6bKxF5NuF4YDq7DLETisGw7mPY9Y+kDaj1h7bRKPgOOAN1sXbi8cwT3Y2NE88j7yxeKp5XXGaXQRUT8rgKpdGxvWTJPP7i+bBuyczSJ0xERERERETpztOvAhERUZpks9kQGx8Pk8kMb28veGlZdl+KyKhoGIxPqxL4+/rA28vLDb8pygjuPngo/k0KdFotAv39PGp/TTAYEBsXB6v16bfKfb294evjDU9mtVoRl5AgHiflCjn8fXygVEp/mXv/YQQsVqv43xqNGsEB0i6mExGRY9vFSWsvY9qmp1W0ZJBDHZsFyoQAGANvw6qNc3mTrQu/gO2Xr+DDKpXRq3xZqBUKj9v8MqUa2qofQV26OwzbfoDpwERJ1XJsjy4jYUF7KHJXh67JaChzVHDrfInIs1huH4F+3WBYr26XPphcAXWFD6Ct/Q3k3pngqSw2G+YcPSa2VYw3myWNpTB4QxOVHXJL0s9wetXLgw+aFmA1LiIiIiIiInophrmIiNKYS9euY+mGTThy6gxOnDuPiEdRDt+eVymVyJMjO0Lz5kHJwoVQtVwZlC1eFGrV03Y19HKDR/yMddt3Ji5///FAvNelIzcZvda2fQfQecDgxOVJP3yDto0bpun9NV6vx/yVa7Bu2w4cPXMWcfEJSe7zSZ9eGPreO0jrhOPg8bPncfbiJZy7dBnXbt0Wb/ceRiAqJiYxZPdEgJ8vShQKQ/kSxdGuSSOE5s3t9HOOnzkHf89fKP63l06HXQvnInsWfnOeiMidbRfLFQjAV3NO41H804vmcqsG2od5YdFFwxRwB3aFawEmvcWC33buwpLTZ/BtvTqomsf5c0FaIPcKhlfTMdBU/ACGjZ/BfHaZpPGs13ch7s+KUJXqBl39HyH3z+W2uRJR2meLvgn95mEwH58tvMiWPJ6yUAvoGv4KRUhheLJDN29h+OYtOPfgoaRxZFYl1FFZodQHQAbHymSBPiqM7FocVYsES5wtERERERERpXcMcxERpRFnL17GN6PHYufBw6+8n9liwcVr18Xbk5CHt5cOjWvWQKuG9dCgelWPbWVAlFaZzGYM++2PxOWSRQqhTaMGSMuOnDqNdz77CnfuP0B6EBMXh8Y93032/aNiYsXjqXD7Y9pM1KlcET9+Ohj5cuVM9hgfvdNTDMMJ1RET9HoMHzMBf/30vYv/AiIielnbxflDK+Hruadx4MLT9l7CBXCVPgBKgy9M/vdg9o4QVrrkUmQkeixcjGaFwvBF7VrI6uvjkb8MRaYweL+1FOYr22AQquncOSppPPPxOTCfXgRN1U+grfEZZBrHFmBElL7YjXEw7P4Nxt2/AWa95PHkWUtB1+h3qArUgyd7GB+PX7bvxNIzZ6UNZAeU8UHQRGeFzJ60GmTFgoEY2a04Qvw10p6HiIiIiIiIMgR5ak+AiIiAv//9D416vPPaINfLxCfosXjdBvQY/JkYOHgVoWXb7Xv3E28PIiL5K8jg0tI+kZbm8qw/5y3Apes3Epe/6v9+mg5NChWr3hr4SboJcrnD1n0HUPetnli2YVOyHyO0VezX7a3E5RWbtmD34SMpNEMioozddnFKv7IY1DwUSrnj+VW4IC60qdLdLwC5SVq78dXnw9Fo2gz8c/AQzP9vo+uJVPlqw6fvIXi1mQGZb3Zpg1kMMO4YiZixBWE89DfsNs/dLkT0YsLftfHINMSMC4Nx2/eSg1wy32zQtZ4G3/cPe3SQS2ipOOPwEdSfOkNykEs4P+keFIA2KkeSIJdwWuvfND8m9yvLIBcRERERERElGytzERGlgZDIt3+Mf+V9hPZe3jodTGYTYuMTkrQTc8bWvfvRa+iXicuheXJj16J5Lo9Hni8t7RNpaS5PCC38Jsyck7gstDWtWakC0rIREyYjOjYuyXqdVgs/H2/I5U/z/L7e3vB0GrUaOq0GapUaeoMBcQkJDu1pn9Abjej/zQ9QKVVoVrdWssZ+p1M7TJozL7FF5cgJU7Bm+l9u/zcQEWV0crkMvernRfmCgfhy9inceOgYNlCYvaC7HwqzTwRMfvcAuWuvh+PNZvy8fScWnTqN4fXqonJuz2wxKJPLoS7TE6pi7WHcPQqGXb8C5qTtlJPLHncP+hXvwbh//ONKO6FpuwIpESWP+dJm6Nd/Atvd49I3mUoHTbWh0FYbCpnGMyscPnHgxk18t3krzj+U1lIRNjnUMVmgigtO0lJRkDVAg5Hdi6NcgUBpz0NEREREREQZDsNcRESp6OT5cHw3dmKS9X4+PnirZTM0qlkdxcJC4e/7tOWJEFAQKhadv3xFfPzOA4dx6ORJGIymNzx7ooxhwsy5DsGogW93R1oWGRWNtVt3OKyrWbE8hn/0IYqEFkjTFcVeRS6To3TRIihasACKFMiPvLlyIk+O7MiSKdjhGCmI1+tx6nw4lm/cgnnLVzocH61WK4b8+Asqly0lVt56HWHsHm1bY9Lsx6HCI6fOYO22HWhSu2YK/CuJiKhEHn/MH1IJPy0+j1UH7zhsEOFCuTouE5QJ/jAG3IbVK8blDXYxIhLd/luElkUK4/NaNZDZxzODCTK1N7R1voW6XB8YNn8F07EZwhsGl8ez3TuJ+FkNoSzYFLpGv0GRuahb50tEb4b1wTno1w+FJXyVW8ZTle4JXb0RkPsnv2V5WnQ/Lk4M9K44e07yWMK5SB2VDXKb6oU/b1QmC4Z1KAw/rxf/nIiIiIiIiOhVGOYiIkpFw8dMSFJlq27Vypjw3dcICvB/4WOEIEaOrFnEm3DfQb16IMFgwPrtO7Fk3UbxW/pE5B6PomMwbeGSxGUhPCSELNOyw6dOw/JM6yghHDrt1x/h4+0FT+br4411M/9O1n2FSoaVSpcSb+92ao8ug4bg6s1bDr9XIZz19YAPkjWeMIZQRVEIgglG/zODYS4iohTkrVViRNdiqFo4GCP/O4t4o2PrP+HCuS4yDywJMWKoy640u/xcwgX9zZcuY1DVKuhRtjSUHvpaWu6XHV5tpkFdeSAM6wbDcmWrpPEsF9Yg9tJ6qMu9B23d7yD3DnHbXIko5djiH8Kw7TuYDk4G3NA2VZG3FnSNf4cyezl4MqG17uyjxzF2z17Em6R9EU5mUUPzKDuURscvlDzhrVHgi/aF0ax8Vo/9Ig0RERERERGlPs/8lJKIKB24/zACew4fdVhXolAYZv7+80uDXC/jpdWiTaMGmP3Hr+J/E5F7zFqyDAn6p22eurVpmeY/kA+/ctVhuVLpkh4f5JIif+5cmDd2lNiK8Vmrt2xP9hjZs2RGnSqVEpeFqoi7Dh1x6zyJiCippuWyYsHQSiiRx++Fm0dp8IPXvTCoYkIAu+vnZ+HC/o/btqPVrLk4ePOmR/8qlNlKw/vtzfDusgLy4DBpg9msYiAkZkwoDDt/hd1scNc0icjN7BYjDLt/R8zYUJj2T5Ac5JIHF4T3W8vg02urxwe59t+4iZaz5orHeUlBLrsMqpjM8Lpb8KVBrlL5/PHfp5XRvEK2NP++kYiIiIiIiNI2hrmIiFLJrkOHxZaJz/qod0+olCyaSJQWmC0WTPtvceKyUqFA5xbNkNbFxMY6LGcODkZGJwS6Wjao67BOqNQlVOhKrq6tmjss/zVvgdvmR0REL5czkxemDSyP9xvnh0Ke9MK4zC6HJiYrvO4VhMIgrVXi+YcP8db8hfh41Rrcee586kmEAIGqcAv4fngKuqbjINMFSRvQGAPDxs8QO74ITCcXJHkPQ0SpR/h7NJ1ehNjxRWFYPwQwREsaT6YLhK7JGPj2PwVVkVYeHUi6FxcnHs+7LliICxERksZSGLzF84wmJgtkL/g4XTg/9WucH1M/LIccwTpJz0VEREREREQkYJiLiCiV3L7/IMm6iqVLpspc0guD0YiIqKhUucAktLp8+OgRLBbLG3tO4bmE54yNi39jz5mRbNq1B/cePv3Qv2q5MggJCkzz+6veYHRYVij4ck9QuXSpJNvq3sOHyd6uQltbX2/vxOXNe/Y59XgiInKdSiEXw1wzBpVHnpAXV5uUWzTQPswL7cPckFlUkjb3ynPn0XDqDEzadwDGN/jazt1kChU0lQfA96OL0FT9BFBI2y62qKtIWNgZcf9Ug+XGPrfNk4hcY7l5AHFTayBhQQfYHl2WthnlSmiqfATfQRehqTIIMqVjVVtPa6n4z8HD4nFcOJ5LIbMqoYnIBe3DfOJ55kVyBuswbUA59G2cH0q+9yIiIiIiIiI3YfkXIqJUEhMbl2Sdt1fKfINTCHc8in78Dd3nK9FYrFbcvnf/lY8P8PdL0r5RGEdveNpqxc/Hx+lWbkKQxWh82ubA388X3jqdU2GmVVu2YfnGzdh/9AQi//9vFCoohQQHoVr5smhZvy7qVa0MhUIBd7HZbNiydz+27t2PHQcO4eadu4nbQvjmcqC/P8qXKIZalSuiQ9NG4rZJrni9HtExTytBqNUqZAp8GiCKjo3FzEXLsGrLVpy9eFmsHiXQatQoVaQwGteqgR7tWr92O6bEPuGqtDSXZy1cvc5huVnd2pLGe93+WrVsGdSpXAE1ypd1an8Vwnyx8U8DfXEJCQ4/T9AbXroNU2rbpUUBfn4v/FtOLqFNY4PqVbFk/UZx2Wq1YtHaDejfvYtb50lERC9XIo8/5g+thLErL2D+zqTtEGWQQWnwh+KeL0y+92H2fSiU7nJpk+otFozetRsLT57CsDq1UK9Afo+tUCMXKu00HgV1xX4wbPgM5jNPK4+6wnpjL+L+rgJVic7Q1v8JisC8bpsrEb2eLeo69Ju+gPnEPLdsLlWRNtA2/AWK4IIev/m3X7mKH7dux6XISGkD2QFVXCaoYzJDZn/5e7NWFbNhaNtC8NHyI3YiIiIiIiJyL77TJCJKJb4+Tyu8PHH1xk0ULRjq9udav2Mn3h82/IU/E1qNlW3e9pWPn/Dd12jftJHDuiE//orVW7YlLg/r3xcD3u7u1Lze//Jb7Dx4OHH5l8+HoGe71sl67Ilz5zH4h59xKvxCkp8JAaA79x9g0Zr14q1wgfyY+P3XKBYm/cPpDTt24cdJf+HcpRd/81moshQZFYUNO3eLt9/+/Af9e3QVAx9y+esrJAnz/eznUYnLVcqWxtI/J4j/LQSBhv746wtbwxmMJuw/dkK8/fXvfxg//CtUr1Duje4TrkpLc3kiLj4Bm3bvdVgnBHlclZz9dfG6DeKtYN7c+Gnox6hctkyyxp44ey7GTJv10p8vWrtevL3I78M+Q9fWLZARCH+Xz8ucybkWlA1rVksMcwmWrtvIMBcR0RumUyvwebvCqFk0BN/+exoPYp5+MeD51ouqhEAYA27Dqk36JYrkuhEdjfeXrUD1vHnwVZ1aCPXg9sWKoALw7rwIlqs7oV83GNbbhySNZz45H+azS6Gp/BG0Nb+ATOvvtrkSUVJ2YywMO3+Gcc9owPL0i1WuUmQrC13j0VDmq+Xxm/vqo0cYuXU7tl6+InksoaWiJio75JaXf+kl2FeNbzoVQa3iIZKfj4iIiIiIiOhF2HeHiCiV5MmRPcm6OctWpspcPM3OA4fQ6t0PXhiMeREheNX8nX7Yf+y4y88pVOH54tfR6PHJ5y8Ncr1IVEwsRk6YgreHfIH45yomOWPqf4vR5/OvXxjkep4QDOr28VDseiYoR87Zvv8gTGZz4nK+XDmRPUvmN7K/Xrh6Hd0Hf44Dx0+49Hz0kt/Dc38P+XPndKh6lxxC9bRnCb/Tuw/YapGIKDVULRKMRZ9VQcPSWV56n8TWixHSWy/uunoNzWfOEcMCsUbHlsaeRpm3Bnze2w+vdnMg88spbTCLEcZdvyBmbEEYD06B3eq5bSmJ0irh78p46C/EjAmFccePkoNcMr8c8Go7Cz59D3p8kEs4Hv+yfQeaTJ8lOcjl2FLx5UGuBqUzY9FnlRnkIiIiIiIiohTFMBcRUSoRWgA+X6lp+sIlGD9jthgcohc7evosegz+DPqXXEQT2g0GBQQkaYMjtEHsNXQY7j10PnghtGJ757OvxN/PiwjPJbSYzBQUCLXqxRcKhSpdfb74Rqzc5Uo1sK9GjUny2AA/X/h6J63w9qRS14DhI8QKU+S8rXv3OSwLFdLe6P5qNOLdz792aX+lF1dGW711u8O6zs2bOb2phEpeBfPmcVi35bl9hYiI3hx/bxV+6VkcP3YvDl/diwuPi60X9f7wulcQqpgQsXWWqyw2G6YfPoL6U2eI7RdtLryuSytkcjnUpbrCb+B5aOuNANTJbwv+Ivb4B9Cv7IfYSaVgDl/rtnkSZXTmixsQO7kM9Cv6wh7/6vbzr6X2hrbu9/AbGA516e7iccBTCcffRSdPo8HUGfj74GGYnWif/sKWirGZ4HU3DCp9gHjeeBE/LyV+7lEcv/YsgUAftevPR0RERERERJQMbLNIRJRKggMC0LJ+HSzbsDlxnRDWGTnxT8xaugKdmjdB/WpVUaJQQSgUCknPpdNokS3z4/L/RqMJkdHRiT9TKhQICQ565eO9dC//VuqbJFRKGvTdyCTBmEB/Pwzo2Q0t6tdFrmxZxXVmiwV7Dx/FtIVLsG77zsQ2ay9qtfY6o6fOSBzjCSFE1blFUzSvVxslCheCl1ab+DsMv3IVq7dsxz8LFjk835Y9+zBh5hyn2lEKlbg+HvFzYpCrWZ1a6N62FSqXKQWtRiOue/joEVZs3IJRf093eD6hQteUefMxpE/vNL1PpKW5PLH/+EmH5RKFwlJ8f9114BD+nv8ftuw9IK6LjIoWb6/j6+OTuP0EMXFxiE/QJy576XTw9/VJ9rYTntPwhiuOZA3JlKw2pK7Ye+QY+nzxtUNINnf2bHinc3uXxiteqCAuXL2WuHzg2Al0adncLXMlIiLnCYHopuWyolyBAIz47xx2nnlxEFpmV/y/9WLA/1svxru8uSMSEvDF+o2Yd+wEvq5XG2WzJ6246ylkai9oaw2Duuw7MGz5BqYjUwG766EI24MziJ/TFMoCDaFrPAqKLCXcOl+ijMJ6/wz064fAcsEN4UiZDOoyvaGt9wPkvtng6Y7cvo0fNm/DyXv33khLRUG1IsH4tnNRZPZ//B6ciIiIiIiIKKUxzEWUgoauWYeLEZEZbhvbYYfV8vSiuUKpeOk3G9+00OAg/Na0MdKKL/u/jx37DzmEVwQ3bt/BqL+miTedVouShcNQumgRlCpSCOVKFH9hi8ZXaVSrungTrN22A72Gfpn4s7w5c2DXonnwBH/9+58YlHpWsYKhmD/hD4QEObZLUymVqFmpgnibt2IVhoz8Vayw5axjZ85h9D8zHNbVqlQB44YPQ5ZMmV54QbFQ/nzirVvrFmJFr4MnngaDxs2Yg57t28DPJ3nVD560dNRpNJg04ls0qV0zyX2EVnG9O7ZDnSqV0OLdfngY+SjxZwtWrcUn7/ZKUvkpLe0TaWkuAqEd5qVr1x3WFQktkOL7a42K5VEiLBRL1m/C8HGTkr2/9u/eRbw98fXvY/H3/IWJy+2bNMSvXwxN9rwHfjcSm3btwZt0Yu1yseqVs4wmEyIeOQY0hSCaEEgTWiAK+9OOA4ccqtoFBwZg9h+/wlunc2muRQuGYun6TQ7HCCIiSn1ZArQY16cUVh68g1+XhCPO8OJ2f8IFe6GFlkUXDVPAHdgVrrcFFIIEHectQOuiRTC0ZnVkSebru7RI7psVXq3+gqbyAOjXfQLLpY2SxrNc2oDYSaWhLveuWAlI7vPydphE9JQt7j4MW7+F6fDfgE16xW5lvrrQNRkNRdZSHr+Z78bG4dcdO7HirPTX3zKLEpro7FDo/V75eZWXRoEhrcPQpnL2JO+piYiIiIiIiFISw1xEKUgIcrnjm4KUfgnVYWaN/gU9h3yeJJDwbHvA/cdOiLcncmTJjOoVyoshjeoVymWIDxWFYMuMRUsd1gltDRdM/EMMM72KUDVH2L4jJ0xx+nnHTZ/lEKqpXKa0GAR5WTvFZwnhlLljf0P9rr1w/fYdcV1sfDxmLVmOD3t0dWoeY4cPe2GQ61n5cuXENwM/wMDhIx2CgWcvXhIDKJQ8Zy9eThKkCs2b+43tr20b1Rcrsv0xfRZ/Za+x+9ARdBk0JNnbqU7lihg17DPkyOr6BeWwvHkdloXAnhAq06jZaoWIKLUJr4lbVsyOSmFBr67SBZnYSktp8IXJ7z7MPhFC6S6Xn3fZmbPYcOEi3qtYHu+ULwddMl4nplVCJS3vHuthubAO+vWfwPbgrOuD2W0wHfoLphPzoK3xBTRVP4ZM5VqYmii9s5sNMO4bC8OOkYAxVvJ48kyFoGs0CsqwZh7/eYHRYsHUQ4cxed8B6C2uB3BFdpnYUlEdGyJWbHwV4VzyTaciyBHM4xYRERERERG9eSnTz4aIiJKtfMni2DRnOlrUr5PsD1lv3buPBavWoEP/j1ClbWcs3/i0VWN6tfPgYdy8c9dh3dcDPnhtMOaJD7q9hcIF8jv1nFdv3sK6HbsSl4U2cGO++SJZQa4nhApcQ/u+47Bu0669Ts2jYY1qaFm/brLu27phfQT4+TqsO3n+glPPl9Fdu3XbYVkI6SR3P3PX/vp2u1ZidTdyj6rlymDV1Cn4d/xoSUEuQdbMmZIE927dZXCbiCgtVuka0bUYfHUv/w6b2HoxOhu87hWEQu/4+slZCWYzxuzei/pTZ2Dp6TOwPVMV0tMI70lUYU3g+8EJ6JpPgswraTVap5jiYNg8DDHjConBLrsL1XKJ0iuhgqzp5HzEjC8Mw8bPJQe5ZF7B0DWbAN/+J6Eq1Nyjg1zCtlkffgGNps3E6F17JAe5FAYf8XgvtNx9VZDLR6vEt52LYEq/MgxyERERERERUaphZS4iojQgW+YQ/P3TDzhz4SLmLFuJFZu2OLTKe13gqO+X32LRmvWYPGI4fLy9kF4r8DwrKCAAbRrVT/bjFQoFenVoi89+HpXsx2zes8+hQpPQXlFo++esJrVqikGwJ2MdPX3GqUo+73Rqn+znEoJmZYsXw5Y9+xLXXbx6zek5Z2Q37zqGsFxp/+eO/fXtdq3xxW9/4E0L8vcXj0lvklyRst8v2HP4KPp9/R3ebt9GPA54abUuj5UtJOm2EYJ7+XPnkjhLIiJyJyHA0LxCNlQUq3SdxY7TL67SJZBbNNBF5IVFGwOj/x3YVSaXn/deXByGrl2PWUeOYVidWijvwmvHtEKmUEJTsR/UJbvAsONHGPeOAayubxt79A0kLOoKxd4x0DUeDWWex222iTIqy/W90K8bDOvNp+/dXKZQQ1N5IDQ1h0GuC4CnO3HnLn7avgMHb96SPJbMooImKhsUhle3VBTUKpYJX3YoLIaCiYiIiIiIiFITw1xERGmI0Arvx6EfY8Qng3Aq/AL2HjmGQydP4cTZ80mqBT1v4649aNtvAJb/NQk6rQbpzZFTZxyW61at5FSFLEHT2jWdCnPtO3rMYblowQKIiIpK/Jbw4/9/8j/PrMMzP/v/+gA/P0T+/7FCkOvO/QfJCoYJ/8ZKpUvCGQXz5nEIc0XHSm/TkZFERkU7LPt5e6fK/tq4do1UCXONGz4MnkKjUTsEz4S/tfgEPeL1+iStMoWWoz+Mm4S5y1aI4dliYQVdek4fn6T7Q2R0jEtjERFRysvsr8HYd0th9aG7+G1pOKITzC+9r9LgJ1ZuEdouCu0XIXe9gtTJe/fQef5/aBxWEJ/WrI7cAZ4brpBp/aFr+AvUFd6HYeMXMJ9aIGk8662DiJtaA6pi7aFt8DMUQQXcNlciT2B9dMUtf0tPqIp1+P/fknOVqNOi2zExGLVzN1acPSd9MJsM6tjMYltF2WuaUwR4q/BZ20JoXDaLR1czIyIiIiIiovSDYS4iojRIqOJUsnAh8dYXnRIDOQdPnMKug4exasu2JC3cBELoa9ioPzD6q8+R3ly85lhdqnSRwk6PERIcJAY/hCBVcpx6rj3hxFnzxJs7REZHJyvMlSdHdmg1zoXzfJ8Lm8TGxyMl6Q1GPIp2DEC9ilqtcrpt4ZukNxodlrUuhCPdsr8GObe/ZkTVypXF0dVLk6wXApNnL17G5t17MW/FKoc2iJev30S7fgOx7K+JTrdeFehe8PeYYNC7MHsiInrTVbqqFg7Gb8vCsfbw3ZffF3Ko40KgTAiAyf8uLN6Pw/iuWhd+AZsvXcbbZUvjg8qV4Ovk67q0RBGYD94d58NSeZBbqgmZTy+C+dxyaCoNhKbWV+mimhDRq9gN0W6pcveEIkfF/1e5q+bxGz7WaMSfBw5i+uEjMFqsksdTxgdAHZ0Vctvrv1DTqEwWMcgV5Ju8ytlEREREREREbwLDXEREHsLf1xf1q1URb98O6i+2Yvz2j/G4+8CxZcz8lWvQr9tbYnWm9CQ6xrG6VI6sWVwaJ0eWLMkOxzyppJUSYmLjknU/oaKXszTPVYAymS1ISZt270Gfz79O9v3LFi+KNdP/QlplNjtW7FAplR6xv9JTQgvT0kULi7cPunfBiAmTMXXBosSfR8XEot9X32Hj7KlQOvn7FQIBwj5htjz9uzKn8N8YERG5h3Ch/qfuxdGsXFaMXHgOdx4ZXnpfIQCgfZQL1vhgGANuw6Z2Pbhrtlrx98HDWHTqDD6qVgWdSpaAUp6yLYZTkjJ3Ffj02QPzqf+g3/gZ7FESWnpbzTDu+R2mYzOgrTMc6vJ9IVM4V82UKK2zWy0wHf4bhi3fwJ7w8pavySXzzw1dg5+hKt4JMg8+lggsNhsWnjyFMbv3IiIhQfJ4cpPucUtF0+urK4f4qfFF+8KoWzKz5OclIiIiIiIicjfPfsdPRJRBCWGCVg3qYeOc6cifO6fDz4TWYnOWrkB6IoQmnq+W5Ovj49JYfr7Je5ywHWPiUq6i1fMt4F5GqVSk2Bzo5UGg56s8pfX9lV5OaDs7cshH6NWhrcP6sxcvYeXmrU5vOqvV6hDkEjhbPY+IiFJX9aKZsPjzyuhaKxfkr+mmpTB5QXe/ADSROSCzSvs+3CO9Ht9u2oLmM2dj+5Wr8PT3I+oSneA34JzY3g0aX0nj2RMioF89ALETS8B8flVi+3IiTybsx+bwNYidVBL6VR9ID3KpfaCt/yP8Bp6DuuRbHh/kEo6DLWbOwdcbN0sOcgnHZ+E4LRyvXxfkEroodqyeE0u+qMogFxEREREREaVZrMxFROTBQoIC8fuwz9Gm74cO63cfOoL0RC582vocm9W11gtCECO5YavnLyIFBQRAo3ZPpQCNhi0c0iovnc5h2WA0pfn91Z0io6JheC6MltKyhmQS28umpK8HfoBFa9Y7tB0VKhy2adTAqXFetG28dFq3zJGIiN4cL40SQ9sUQpNyWfH9/LMIv/3yqqkyyKBKCIJS7w+T332YfR4KK112MSIS7yxeiup58+DTmtVRNLPnVoWRqbTQ1vgM6jK9YNg6HKZDfwL25H1p4UVsD88jfm4LKPPVhbbx71BmK+3W+RK9KdZ7J6Ff9wkslzZKH0wmh7rcu9DW/R5yH9cq/qYl5x88xE/bd2DXVQlV/Z6wy6CKC4Y6JjNk9td/ESosuw++6lgEJfP6S39uIiIiIiIiohTEMBdRCgoNDsqQ29cOO6yWpwEEhVIhXgBJC9Lj76RK2dLImS0rbt65m7ju0vUb8ATmZ/aTV1EoFPDx9kJc/NNv60bHJa9N4fNikvk4ofWar7e3Q/Bj5JBBTgc/MgKdVotsmUOSff9MgYFI6yHJZz2Kjnbq8amxv7rTwO9GYtOuPW/0OU+sXY7MmYJT9Dm8tFrUqlwBqzZvS1x37Mw5p8eJjI5Jsi4kKP2dW4iIMoriuf0x95OKmL31Ov5cfxlG88uDSEJQQBOdDar4IBj978Cqc2yr7CwhyLD76jW0LFoYg6tVQw5/59trpxVyn8zwajEJmkr9oV8/FJYLayWNZ7myBXFTyoohMW3dHyD3y+62uRKlJFvsXbGdounIVEnBxieUBRpC1/h3KLIUh6e7ExuLcXv2YfGp07C5ofqeQu8rHpPlltdXydWq5Hi/SX50rZUbKoVnVzQjIiIiIiKijIFhLqIU9FvTxhly+1osFkRFRSUuBwQEiMEYSjkF8+R2CHPpDQaxekxKtv5SPdf+z2R2bDuWHFExSUMRLxPo7+8Qjrly/SZccfXmrWTfNzgwwCHM5SkhuTetfrUqOLp6KdKLXNmzOSzfj4gUj2vOHMdSY3+l18uZNavDcsSjp+eq5Lp7/0HScbN5foUEIqKMTLiw37t+XjQonRm/LDmPXWciXnl/ITigi8gLiyYOJv87sKkNLj+3EGdYfuYc1py/gO6lS6Ff5YoIfK5KqCdRZC4Gn+5rYL6wHvr1Q2C7f8r1wex2mI5Mg+nkfGirfwZNtU8gU7+6fRpRarGb9TDuGQ3Dzp8Bk/QvZMhDioohLlVBz/9cKdpgwJ8HDmLmkaMwJvMLXa8iM2ugicoGpTF57V2rFQ7Glx0KI0ew5x5biYiIiIiIKOPhV5GIiNKD59q6Ce3KVCkcoBOqVkmpIGQym3H1ZvIDLkVDCzgsHz1zBs66fP0GHr2gqs7LFAsr6LC8fd9Bp5+TPE++nDmStNy8+/ChU2O4ZX+9cdOp/ZVeL8FgkNwe8da9+w7LWo0a2UKSX5mOiIjSrlyZvDC+T2mM7l0SWQNe/6UIpdEHuvuh0ETmgMwq7bW32WrFtMNHUPef6fhz/0EYXPiiRFqiKtgIvv2OQtfyL8i8JbaRNCfAsPVbxIwrBNOxWbDbpFc7InIXYX80HZ8j7p+GzV9JDnLJvEOgazEZvh8c9/ggl9FiwT8HD6HuP9Pw14FD0oNcVgXUj7LB617BZAW5Mvmp8UvPEpjQtzSDXERERERERORxWCqHiCgdEEJKzwoK8Bdbvb2IXOaY47W72N7A39fxw9MLV6859fg9h4/CYDQl+/5lixfF+h27Epe37T0gBsj8fHySPcbS9ZucmmPNiuWxesvTlmyHTp7CxavXEZo3N9ITd+0T6WUuYfnziQGdZ/fP85euJKnqlNL76/INm5Eagvz9nWqb6Q7yN9Tq5OyFSw7LIcHOt3Y8f+myw3LRgqEvPd4SEZHnkclkqFsyMyoXCsJf669gzrbrsNhe/npEaCevSgiCUu8Pk+8DmH0fCv0YXX7+WKMRv+3chVlHj+GjalXQtlhRKOSe+T08mUIJTfk+UJfoLFYrEqoWwSKhilnMLSQs6QnF3rHQChWL8tV263yJnGW5uhP6dYNhvX1I+sZTaqCp8jG0Nb6ATOu5LVcFVpsNy86cxZjde8XWipLZZVDFBUMdk1lsd/s6CrkMnarnRL8mBeCr40ffRERERERE5Jn4jpaIKJVYrVa3BAAOnTiFa7duO6wrmDfPS+/v7eXYWkBvMLr0vGH58zosHzh+QhxLp01ea8fJc/516vnqVKmEnyb9lbisNxoxdcEifPzO28l6fGxcPGYtWeZ0+0ClQgGL1ZoYLPpu7ATM/uNXpCfu2ifSy1yEqnZCQOfIqafVtM5cvIR61aq8sf1VaNE4Z9kKpIZxw4chPTp78bIYyHxWieeq7yWHsC88q3TRIpLnRkREaY+XRomPWhZE8wrZ8NOiczh86dWteYWAgSYmK1TxQTD534XFK1rS89+Li8MX6zdi2qEjGFqzOurkzycGzTyRTOMLXf2R0JTvC/2mL2E+MVfSeNY7RxA/vQ5URVpD2/BXKIKdP58TSdoHIy/BsOEzmM8sdsuGVJV4C9r6P0IR6Pge29MI75e3XL6MUTt240LEq9vVJpcywR/q6KyQW9XJun/Z/AH4vH0hhGVPXgtGIiIiIiIiorTKM7/eSUSUDsxbvgrvfDoMx8+ec3kModLP0J9+S7K+QfWqL32Mr49je8R7EREwmpJfIeuJUkUKJwmfzE1m+GT6wiXYvt+5loUlCxdCySKFHNaNnT4Lp8MvJOvxX48ei3sPnftAOUfWLOjYvInDuo279uCnSX9CapAvLXHXPpGe5lKlbGmH5WNnzr3R/fXnP6c6vb+mZ8KFISlV2qJiYjBw+IgkYzSpU9PpsZ4/ZlctV8bleRERUdoXms0H/3xYDiO7FUOQz+vDBELgQBuZG7r7BSA3ekl+fiEQ8d7S5eiyYCGO3Hb8AoenkQfkhnf7OfB5bz8UuatJHs98dhlixxeFfu3HsCVEumWORK9i0z+Cft0QxI4v4pYglyJXFfj02QvvDvM8Psh15NZtvDX/P/RdusItQS65UQfd/fzi8TQ5QS6hpaJwnJ46oByDXERERERERJQuMMxFRJRKbHY7Vm/djkY93kWbvh+K4a5oJ1oQHD55Ci3f/QBnn6sS46XToW3jhi99XIHcuR2+1S8Eizbs3O30/Avlz4fQPI7tBn+a/Bf2HT3+0scIzzV+5hwMGzVGXHa2ukC/rp0dloU2eB0//Bj7j738OQ1GIz77eRTmr1wDV3zUu2eSalFjp88Wg3h3HzxM9jiRUdGYu2wlmrzdRwyEpSXu2ifS01zqVXWswrX3yDGnw0Su7K9CcO2HCVOwbGPqtFhMqyKjo1GjQ1cxCCr8LTlj18HDaPFOP5w8H+6wPn/unGhYw7kLyZeuXXf4uxcq9wntWImIKH0TXps0K58Ny76sgm61ckMpf/1rWIXJC7oH+aGJyAWZRSV5Dgdv3kLHeQvQZ8kynL53H55MmbMifN7ZCa9OiyAPzC9tMJsFxr1jEDs2FIY9Y2C3pM4XEih9s1vNMO4bj9gxoTDu+R2wmiWNJw/IC6+OC+Dz7m4oc1WGJwt/8BD9lq1Ax38X4NBzFcNdIRwvheOm7kEBKEyOX/R5WUtF4bi87Muq4nHaUysYEhERERERET2PbRaJiNIAISgi3L74dTTKFi8q3oTKV1lDMiHAzw9ajQbxCXrcffAAp8IvYMOO3Th44uQLx/q4dw/xcS/j4+2F0Lx5cOHK1cR1Q0b+gqs3b6FKmdIICQqESuV4wSnA3w9eWm2Ssbq1aYnhYyYkLgtzbN9voFjNqlmdWsibM4f4Yer9iEgcOHYCC1atwaXrN8T7FsyXF0H+fth/7ESyt1ObRg2wcM16bNmzL3FdxKMotH7vQzSrWwst69cVA2ZCoO1BRCT2HDkqBqiu376TeH9hPs6EcnJnz4bxw7/CO5995fA4IYi3fscuNKpVA9XLl0XxsILidtKo1eJ2iImLxeXrN3H+8hWxBaVQ2clms4mPlVJhKCW4c59IL3OpWKoEAvx8ERXzOGAZGRUlBieF9osptb8KoaO5y1fi5t17Lu+v6dnFa9fFY+RXv49FueJFUaFUCYTly4d8uXLA19tH3HfMZjPiEhLE1rNCFbT1O3YnCbw+2a6/fDZE/Ht1xu7DRxyWK5UpBT8fH8n/NiIi8gx+XioMaROGtlVyYNSycOw59+rqMzLIoNIHQKn3g9k3Aibf+4D88etBV229fEW8NQ4riI+qVUFocDA8kXAuVhdrB1Wh5jDunwDD9h8Ag+utKe36RzCs+ximAxOhbfQbVIVbMdRBkgmvwy3nV0K/fihsEY5fDHCJxg/amsOgqTwQMpX730u9SVcfPcK4Pfuw8uw5uOXdik0OdUxmqOKCIUvmd4/LFQjAF+0LixUUiYiIiIiIiNIbhrmIiNIQoSrPk2CXKzo0a4z+Pbq+9n7tmzTET5P+SlyOjo3DyAlTXnr/Cd99jfZNGyVZ37tjO7GiWPgzwRuL1SquE24vI1S6+nPkcHz7x3g46/dhn6HFu/1w885dhw/ZV23eJt5epXCB/GLQbdu+A049Z9M6tfD9xwPw7ZgJiYGsJ//W1Vu2iTdP5659Ir3MRalUimGrWUuWJ65bu22nU2EuqfurUP0uW+YQp/fX9E6o1nbg+Enx5gq5XI4/vv4CNVyoqCXsA89q1+TlVRCJiCj9yp/VGxP7lsaO0w/FUNeNh/pX3l8IJqhjQ6CKDxQDXWafSEAmLf6wTviCx4WLaFmkMAZWrYzcAQHwRDKlBtpqn0BduicM276D6eBkwOZ6S3Jb5EUk/NsGijw1oWsyGsrs5dw6X8o4LHeOwrDuE1iubJU+mFwBdfm+0NYZDrl3CDzZregYTNi3H0tOnYbVHV86sQOq+CCoY7JAZkvex9TZArX4qEUoGpbJwtAmERERERERpVtss0hElEpUSqVbx/qodw+M/eZLMajwOu90bI88ObJLfl61SoW/f/4BmZ2oCCBUIZrx209Oh2KeEMItiyeNRY6sWZx6XL5cOTF3zG9ilTNX9HmrI+aNHYUgf39IpVAokNa4a59IT3Pp2KyJw/IqF0J7ru6vQkW42aN/cXl/TW/kMnmyjm2vI/weZo3+BZ2aO/5uk0NogytUT3tCp9GgZb26kudERETw2MpStYqHYPHnVTCoeSi8NK9/fScEFTTR2eF1NwzK+AC3tG1fduYsGk6bia82bMIdJ1q2pzVy70zwajYevv1PQVmoheTxrNd2IG5KecQv6Qlb9E23zJEyBlvMbSQs7Y24KeXcEuRShjWDb/+T8Go+0aODXPfi4jB80xbUnzodC0+eckuQS5ngD697YdBE5UhWkEunVuDDZgWw9IsqaFQ2K4NcRERERERElK4xzEVElEq6tGqObfNn4YsP3kOFkiXEYJSzhApXQjWuzfNm4PN+7yU77CC0I/tv4hjxeaUSqget+GcSqpd//bfeyxQrgrUz/nKpIs6z8uTMgc1zp4vbULiQ9irCNunUvKn4vM4Gap5Xu3JF7FnyL4a81xuB/n5OPTYkKAg92rXGupn/oGGNakhr3LlPpJe5lC9ZHEULFkhcFtr1nb14OcX319YN6uLfMb8he5bMLs07PRL+3g4uX4jP+/URjznOKpA7F778oC92LpyL+tWquDSH1Vu2w2yxJC63blRf3FeJiChjUyvl6FU/L5Z/WRUtKmRL1mPkVjW0j3JBdy8UCoP09mAWmw3zT5xEvX+mY8TWbXgYHw9PpQgpDJ+uK+DdcxPkWUtJHs98bBZixoVBv/kb2I1xbpkjpU92UzwMW79DzNiCMB2dLpTTlTSePEsJePfYAJ9uq6AIKQJPFZGQgJ+27UDdf6ZhzrHjMD9TqdpVCoM3dPcKQBuZG3LL67+8IryFal0pO1YMq4p3G+SDVp32vhxFRERERERE5G5ss0hElIqEtn/CbVCvHjAYjTh6+ixOnDuPy9dv4OrNW4iMikZcQoLYzs9bp4OvtzcyZwpG0dACKFE4DNUrlIOXVuvScwuVj1ZOnYzDJ09h4649OBV+EXfvPxCfz2Qywy70O/g/L92rnyNvzhxYNHks9h09jnXbd+L42XN4+CgKRqMRQQEBKFk4DM3q1katShUcHhccGCBWLnpC+DcmV4CfH0Z/9bm47ZZv2Ix9x47j7oMHSNAbkCkwEFlCMqFauTJoUa8OQoKDEh8XFODv8JzOhjGE5x3Spzc+7NEVh06cwu7DR3HqfDgio6PxKDoaVqsNPl5eCPT3R/48uRCWLy8qly6FYmGhyfrmsLANnp2fsI2c5ePt7TBGUDKDZ+7cJ6RKK3N5761O+Oj7HxOX5yxbgZFDPnJ6nOTsr1XKlEL1cmWQ6ZnfuSv7q5+vj8Nj/H19kR4IYcyPevcUb7fv3cfOg4dx5sJFhF++ggeRjxATFyeG4YTjpK+PN/LlzInihQqibPGiKFWksOTnn730actNQd8unSSPSURE6UeIvwY/dC2GzjVyYfTycBy+FPXaxyjMOuge5oNFEweT/x3Y1AZJczBZrZhx+CgWHD+JnuXK4J3y5RDoxOvrtERVoB6U7x+G6dgsGDYPgz32juuDmfUwbv8BpsN/Q1t/pNjSUSZnGIQes9tsMB2fBcMmYT+7LXmzyHyyQFtvBNRlenn0fhalN2D64SOYcfgI4s1mt4wpN2mhjs4KhdEHMrz+vbGgXIEADGkdhiK5nPsyFREREREREZGnk9ntbqiLTZTKzl26jNqdeyQuC9WOhIAMpQ6LxYKoqKcXLwICAqB0Y0tBIqI3xWQ2o2KrDrj74KG47O/rg6NrlrkconwVHjvTLiE0VrfL24nLdapUwr/jfk/VORHRYzx2UlokfMyy4/RDjFlxAVfuJyTvMbDDoouGyf8u7Er3BCe8VSp0LVNKDHUFe3luNUmhopZh928w7v5NDGZJJVT80jX6XQyMZVQ8dj5mvrINhnWDYb1zVPpGVWqhqTYE2uqfQqbx3C9TRCboxRDXrKPHEG8yuWVMmUUFdXQWKPUByQ5x5QjW4eOWoahXMjPbKVKawOMmERGPnUREfN1JbxrbLBIRERG9hND+VKim9UR0bBz+XbGa2yuDmTTnX4flT/u+m2pzISKitE+oxlqreAgWflYZwzoURpCP+vWPgQwqfQC87oZBHZUNsEqv6CNU0/nrwCHU/msqft62w2PbL8o0PtDV/Q5+A8OhKt1T8ni2u8cRP7M+4ua0gPXBObfMkTyL9WE44ua1Rvz0Om4JcqlKdYPfoHDo6v3gsUGuiPgE/Lp9J2r/PRWT9x9wT5DLqhCPZ8JxTaUPTFaQK8BbJVbiWvpFFdQvlYVBLiIiIiIiIsqwGOYiIiIieoVubVoid/ZsicuT5/wrfiuXMoYbd+5i2fpNictNa9dEmWJFUnVORETkGZQKOTpUy4mVX1VFn4b5oFW9/iMYGeRQx2WC991CUMVkBmzSP7bRWyz459Bh1P57GkZs3Yb7cXHwRHL/nPBuOwM+7x+CIm8tyeNZwlchdmJxJKweAFv84yqslL7ZEiKRsOYjxE4oBss5xxbarlDkqQGfvgfg3W425P654IkexMfjp207xBDXXwcPIcEdLRVtMqhiQsTjmHA8E45rryMcH99pkBcrv6qGbrVzQ63kR9ZERERERESUsfGdMREREdErqJRKfNn//cTlm3fu4r/V67jNMojxM2bDYrUm7gtf9O+b2lMiIiIP461Von/TAlg+rCpaVcwGeTK6jMnsCmhisjwOdcVmEsMRUhksFsw4fFQMdX2/eSvuxnpmqEuZvRx8em2F11tLIQ8KlTaYzQrT/gmIGRsKw65RsFuM7pompSF2iwmGPX8gdkwBmPaNBWzSvpghDyoAr86L4dN7O5Q5KsAT3YuLE8OdQohr6qHDYuhTMrsMqthgeN0tBE1MVvE49jrC8bBtlRxY8VU1DGgWCl+dUvo8iIiIiIiIiNIBmd1ut6f2JIikOnfpMmp3ftoGa9v8WShcID83bCoRKtZERUUlLgcEBECp5AdyROTZ2vUbiN2Hjoj/nS1zCPYsng+dVuO28XnsTHsuXr2O2p27J4a5+vfogq8HfJDa0yKiZ/DYSZ7o8t14TFp7CZuO30/2Y2xyM8x+D2D2jhQ+yXHLPFQKBToUL4b3KpZHTn9/eGpIx3RwMgzbvoNd/0jyePLAfNA2/BWqou3SdXu3jHLsFD7yNJ9dBsOGT2GLvCh5PJk2AJpaX0NTqT9kSve9D3iTbkXHiJX6Fpw4CdP/X+NKZgeU8UFQx4ZAbn19W9knahcPwcDmocif1ds98yBKQRnluElE5E48dhIR8dhJ0vAdBxEREVEy/Dj0Y3QZ+Als/8/BL167XmzBSOnX1P8WISQ4SPzvQH8/DH63V2pPiYiI0gEhuDCqV0mcvh6DCasvYu/5yNc+Rm5TQROVXazSZfK7D4vXI6EnoyRmqxXzjp8QQx3NChdC34oVUCgkEzyJTKmGpsogqEp1h3H7DzDunyCp6pLt0RUkLOgARe5q0DUeDeX/2rsP+CjK/I/j3y3ZbHol9N6RJl1EASu20zt7772C2P3bO4hnP8tZsJfTs6OiIiCC9N57h/RetvxfMxxLNgVSNtlN8nn7mlcyT3ZmH55Nxtmd7/yeNkMC2l/UH9f2eSqYMk7uzTNqvzOrXY4hN8g56gFZI5PUEK1JTdUbf83TN6tWy+XxBC7ElR8vR3bzaoW4BnaO102ndNHhneID0w8AAAAAABohKnOhUaAyV2jhjgsA4NgJAJx3AlUzd226XvxuvZZsyqrykHnsRSqO3S1XRFatQ12lje7U0Qx1DWrTWg2RO22tCn+6SyUrvwzI/sL6XqCI456UNb6dGpPG/J7dk7VVBVPvU8ni9wKyP3uP0xVxwjOyJXdTQ7Rgxw69Nmeuflm/IaD7tefHyZGdIqvLWeVt+rSPNaecHdotsVFXvkPj1JiPmwBQVzh2AgDHTtQO7zgAAAAAAACCZHDXRL17a4JmrEjVS9+t15oduYfcxuoKlzO9ndz2QhXH7ZY7Ijsgffltw0ZzGdi6lRnqMsJdDSl0YUvqqqjzv5Br4+/7qjLt3DdFdk2VLPlQJSu+UPjwcXIedbcs4TEB6ysCy1uUq8KZz6ho1kSppKDW+7O16C/nmEkK6zRaDXF6yekbN+lff83V3G3bA7pvW0GMWYnLVhJR5W26t47WjSd30VG9khrU8QQAAAAAgGAizAUAAAAAABBERsDh6MOaaUTPZE1dskev/7hB63bmHXI7m8upiLT2coflm9MvuiNyAtKf+dt36Jovv1K35CQz1GVMw2i3WtVQ2DuOVPS1c1Wy5AMVTL1H3uxaBFpchSqa/oSK578p57GPynH4FbLY+DgtVHg9bhUvfEeFv9wvb+6uWu/PEtNKzuMel6PfxbJYbWpIjOkTf1i9Rq/9NVer9qbWQYgrRbaSyGpNKXvDSZ10TJ8UWa2EuAAAAAAAqA4+fQIAAAAAAAgBRuDhhP7NdVzfFP1ihro2au3OQ1fqMgIWEWkd5A4r+F+oKzCVutakpun276do0sxZumRAf53Tp7diwsPVEFisVjn6X6ywXmeqaNazKpzxlFSSX+P9efP2qODra1U0+0VFjHlWYV1OCGh/UX0l66eqYMrt8uxeUvvhC4uUc8SdCj9yvCyOqAb1cuQUFenzZcs1ecFCbc0KzN/+fraC2P+FuKpeiatds0hdN6aTTjy8uWyEuAAAAAAAqBHCXAAAAAAAACEW6jq+f3Md2zdFvy7dF+qqyvSLRuBiX6WuAhXH7JE7MjDBju3Z2Xpy2nS9MGu2zu59mBnsahcfr4bA4oiUc9T/yTHgShX++n8qXvi2MQ9djffn2bNMeZNPlL3LGEWMmShbymEB7S8Ozb13pQp+vEOuNd/VfrgsFjn6XyrnsY/JGtu6QQ3/tqwsvbtgkT5buky5xcUB3bctP1aOnOqFuDq3iNJVx3fU8f1TZLc1nEp+AAAAAACEIsJcAAAAAAAAIRrqOq5fc3OasmnL9upfUzZUPdSV3l7u7EKVxO6RKyJLCsAsZ3nFxXpnwUK9u2ChjuvSWZcPHKDBbVqb00SGOmtsK0We8W85ht6swim3y7Xx11rtz7VuinJe/kmOQdfIOfphWaNTAtZXVMyTt1eFvz2s4nn/kjzuWg+TvcMoOcc8K3urAQ1myL1erzkN6tvzF+jndevlqUUwsfzOJXtBnMKMSlwuZ5U369EmRlcf31Gj+zRjOkUAAAAAAAKEMBcAAAAAAECIh7qO6ZuiUb2b6ffle/XW1E1auvnQVbeMQIYtvZ089kIVx+yVKzIzIKEuIz5iBEmM5bDmKWao6+Tu3eSw2RTq7C37K+qyqWZVp4Ifx8uTurrmO/N6VDz3Xype8oGcR92r8CNukyWs6iEYVHGYXUUqmv2CCn9/TCqqfbU5a1JXRZw4UfbupzWIIKKhxO3WD2vW6u15C7R09+7A7vx/IS5jOkVrNUJcfdvH6eoTO2pEz6QGM44AAAAAADQUhLkAAAAAAAAaSKhrdJ99oa556zL09i+bNWtV2qG3cznlzGgrT06KiqP3yhVlhLoCU9Fn+e49Gv/9FE2YPkMX9u+nc/v0UVJUpEKZETwJ636q7F1OVPG811X424Py5h96HCtVlKPCqfeoaN6/FHH8UwrrfS7hlgBVoSpZ/rkKf75LnoyNtd6fJSJRztEPyjHoOlnsDjUEafn55jSK7y1crN25h67KVy1ei+z58XLkNJPVFV7lzQZ2jtc1J3bSkK4J/J4DAAAAAFBHCHMBAAAAAAA0IEYYaXDXRHNZtS1b7/yyWT8t2i3PIfJZRmDDmdlGnuzmKolJVUlUumT1BKRPu3PzNGnmLL04a7ZO6t5NF/bvqwGtWoV02MNiC1P40BsV1vdCFU1/3Kz+JHdxjffnzdys/M/Ol+3P5xUxZpLs7Y4IaH+bEtfWOSqYMk7urbNqvzPzdb5Z4SPvlzUiQQ0hxLZw5059sGixvl+91qzKFVAeq8LyEhWWkyyrJ6xKmxh/xsf2TdGlo9urT4e4wPYHAAAAAACUQ5gLAAAAAACggerRJlZPXdpHN57SWZN/3ayv/tqpYtfBA1pGgCM8q6U5rVpJdJpKolPltQUmMFLi8ejrlavMpUezZF3Qr6/+1qunoh2hWwnJGhGviBMnyDH4ehX+fLdKln9Wq/25t81W7pvDzQpdzuOflC2hY8D62th5Mjer4Od7VLL0o4DsL6zXP+Q8/mnZkroo1OUXl+jrVavMENfKPXsD/wRumxy5yQrLTZTFW7WPhMPDrPrb4Ja6aHR7tW8W2hX3AAAAAABoTCxe43YvoIFbtX6DRp13iW992seT1aNzp6D2qSlzuVzKzMz0rcfHx8tuJzsKABw7AYDzTqCupWYX6eMZW/X5rO3KzCup0jZeeeSKylBxzF557VXbpjqiHA79vVdPXdC/r7olJyvUuTb/oYIpY+XePrf2O7M5FH7EbXIefa8sztCoaBSK79m9hdkqnPGUiv6cJLmKar0/W6tB+6qjdThKoW59Wro+XLxY/1m2QrnFNa8MVxmLK8yswhWWb4S4rFXaJj4qTOeMaKPzRrRVYkzoBjGBpnzcBIBQx7ETADh2onZ4xwEAAAAAANBIJMeG66ZTuuiq4zvq23k79eHvW7Vhd95Bt7HImHYtSfa8RLkislQSs1ceR2HA+pRXXKz3Fy02l4GtW+ns3r11cvduinRUbYq3+mZvf6Sir56tkmUfq+Dnu+XN2lrznbmLVTTzGRUveEvOYx6WY+A1stj4OG4/r9ul4gX/VuGvD8ibt6fWr50lto0ijn9SYX0ukMVateBSsKpwTVmzRp8tW66527bXyXNYS8IVltNM9vx4WVS16U7bJEXoolHtdPqQVooIt9VJvwAAAAAAwKHx6REAAAAAAEAj43TYdNbwNjrziNb6c1W63v99i2atSjvoNkbgI6wgXvaCOLnD88zpF90ROQHt1/ztO8zl0d+m6dQe3XR2n97q16KFLJaqhU3qixEEcvS9QGE9/66iP/+pwulPSMW5Nd6fNz9VBd/eqKI5LynixImydz0p5P7N9a1k7Y8q+PF2efYsr/3OHFFyjrhb4cPHyeIIzekAjckRlu7arc+WLdM3K1fXSRUug60w2qzEZSuKrnKIa2i3RF1wdFuN6JUsm7Vp/14CAAAAABAKCHMBAAAAAAA0UkZgaHjPJHNZvytXH/y+Vd/N26miEk/l28gie1G0uXjshSqOTpMrMkOyegNareuTJcvMpVtykhnqOr1nTyVGRiiUWMIi5Dz6HjkGXGFWjyqe/6bkrXzsDsWzd6Xy3j9F9s7Hm6EuW4u+amrcu5ep4Mfxcq37sfY7s1jkGHClnMc8ImtMS4WijIICfb1ylT5dskyrU1Pr5km8FtnzEuTITZLV5azSJk6HVacNaqlzj2qrLi2j66ZfAAAAAACgRixe47YwoIFbtX6DRp13iW992seT1aNzp6D2qSljLnQA4NgJAJx3AqErM69YX/+1U5/9sU1bUwuqtI3X6lJJVLpKotPktbnqpF9hNpuO6dRRZ/TqqZGdOsphs4VmEGnK7XKt/6n2O7NYzZCY85hHZY1pocb+nt2Tu1uFvz6o4vlv1CoQt5+903GKGGME4vop1BS73Zq+cZO+WrFSU9dvUInbXSfPY3HbFZabpLC8RFk8VXsNWyU6dd5RbXXG0FaKjQzNqU6BUMNnnQDAsRMAOO9EfaMyFwAAAAAAQBMSH+XQJaPb66KR7TR7dbo+/WObpi/fK89BbvczgiKOnBSF5TSTKyJLJTGp8jiqFgSrKiPw8uPadeYS73Tq5O7ddHqvHhrQqlXITEloa95b0Zf+qJK1U8xQl2fviprvzOsxK30VL/0o5KcIrA1vScG+qSpnPCkV1X7aTmtyD0WMeTbkpqo07pdduGOn/rtipb5fvUaZhYV19lzWYqfCcpNlz4+TRdZDPt4YpiO6J+ms4a01snczplIEAAAAACDEEeYCAAAAAABogqzWA1Mw7swo1H9mbdOXs3coLaf4oFMwhhXEy14QJ48j36zUZYS7FOBMjRGE+XDxEnNpGxerv/Xsqb/17KHOSYkKBWFdx5iVoYoXvGlOv+jN21vznRXnqfDX/1PRvNcUcfyTCutzgSzWQwd0Qp0RbipZ+rEKfr5b3qwttd6fJTJZzmMelmPg1bLYQqei1Mb0DLMC11crV2lrVlbdPZFX5t9dWG6irMVR5t/ioSTFOHT60FY684jWap0UWlOYAgAAAACAyjHNIhoFplkMLZQeBwCOnQDAeSfQMJW4PPplyR598ed2/bU2o0rbeKwlckVlmNMweu0lddq/w5qn6ORu3TSme1e1j49XKPAWZptVp4r+fE5yFdV6f7ZWgxQxZpLsHY5SQ33P7toySwVTxsm9bU7td2ZzKPyI2+Q8+l5ZnHEKBVsyMzVlzVr9sHqtlu7eXafPtW8qxUTZ8xJl9VQtxDase6KvCleYreEHA4Fg47NOAODYCQCcd6K+UZkLAAAAAAAApjC7VWMGtDCX7WkF+mrODn311w7tzqw8pGQETPZPweh2ZqskOl1uZ26djOjy3XvMZcKMmeqVkqKTunfVSd26qUNC8IJdFmesWVHLMehaFU69x6xGVRvuHfOU+9bRCut1ppwnPC1bYmc1FO70DSr8+W6VLP8sIPsL632OnMc/JVtCRwXb5sxM/bB6jX5Ys9b8HaxrtsIoheUmyVYYW6UqXInRRhWulvrHEa3VNrnxTdcJAAAAAEBTQpgLfrbs2KmpM2dp+Zp12pWaqpKSEkVHRqpD2zYa2q+vjh46WBHOcEYNAAAAAIBGzpiW7YaTO+vaMZ00Z3W6/jtnh35bukclbm+FjzcCJ/bCOHPx2ItUEpWmkqgMI+1VJ/1bsWePuTw74w/1bNbMF+zqmJigYLAldFDU2R/JNezWfVWptv5Zq/2VrPiPSlZ/rfChNyt85P2yRgTn31UVnoJMFU1/QkWzn5fclU/TWVW2NkP3VSdrN1zBtCkjwwxvGRW4jN+1OuexKiwvQWFGFS6X85APD7NZzOpbfxvSUkf0SKIKFwAAAAAAjQTTLMK0btMWPfLCy/p55ix5vRV/KGtIjIvTNRecoxsuvkCOsKqVdq8PTLMYWig9DgAcOwGA806gccrMK9b383aZwa41Ow5dfcsrj1wRWeY0jG5nXr30sVNigo7p1EmjO3fSwNatZLfW/zRzxmcrRnWqwp/ukidzU633Z4lIlHP0g3IMvl4WW1jIvGf3uktUPO91Ff72kLz5qaotS1w7RZzwtMJ6nyuL5dDVqALN5fFo4Y4d+nX9Bv26fqPWp6fXy/Nai6LMEJe9IE4W76F/X3u1jTUDXGMGNFd8lKNe+gg0ZXzWCQAcOwGA807UN8Jc0H9++Em3P/6UCouqfudk357d9e7Ep9QypVlIjCBhrtDCBxwAwLETADjvBBq/dTtzzWDXDwt2aWdG4SEf77EZ1boyzGCX1+aqlz7GOcM1smNHje7UUUd37KA456GrHQWSt6RQRbNfUOH0x6Wi7Frvz5rUTREnTpC9+2k1DjsF4j27EVZzrfleBT+Olyd1lWotPEbOo+5V+BG3yhIWofqUU1Sk6Rs36Zf1G8yvmYWH/l0OBIvbLrtZhStBVvehq+Anxzp0yqCWOm1wS3VpGV0vfQSwD591AkD1cewEAI6dqB3CXE3c59//qJsfeuyg1bgq06ldG3395qtKTgh+mX/CXKGFk3QA4NgJAJx3Ak2Hx+PVoo2Z+n7+Lv20aLey8w8e1PLKK7czxwx2uZ3ZxvyM9cJmsWhQm9Y6qkN7jWjfXr2ap8haT9WfPHl7zepVxfNekzzuWu/P3nG0nGOelb3l4fX+nt29a7EKptwu14ZfVGsWqxyDrpFz9MOyRqeoPni8XnPKxFmbt2j6xs2at327WZGrXnglW2GsGeCyFcaYU5MeTEyEXcf1S9GJhzfXoC4Jstvqv8ocAD7rBICa4DoRAHDsRO0Q5mrCVqxdp5Mvv6ZcRa742Bidd9op6tujm+JiYrRt1279NOMP/TprdrnQ1+hhQ/TRi5MUbIS5Qgsn6QDAsRMAOO8EmqZil0d/rEw1g10zlqeqsOTgIRmPtUSuyCy5IjPlcRSoPiVEOHVEu3Ya3r6dRrRvpzZxcXX+nO69K1Xw4x1yrfmu9juzWOTof6mcxz4ua2yrOn/P7snZqcJf/k/FC98ySnOptuxdxihizETZUg5TXduela2ZmzebAa5ZW7Yqo6B+f9esxU7Z8xNkz4+T1XPwaTIjHDaN6tNMYw5vruE9khRmJ8AFBBufdQIAx04A4LwT9a16NdTRaBihrDufnFguyHXM8GF67fGHFRMd5dd+6ZlnaPbCxbrijnuVnpXla/9t9l/mNI1nnnRCvfUdAAAAAACEJofdqtF9UsyloMitGStTNXXRHs1YkaqC4vIVqYxgiyM32Vw89kKVRGaawS6vvaTO+5pRUKjvV68xF0O7+DizYtewdm01qHUrpUQHfio7W7Oeir7oW5Ws+1kFP94uz+6lNd+Z16vihe+oeNmnco64U+FHjpfF4f95TiB4i/NVNGuSCmc+JRXn1Xp/1pTDFHHiswrreqLqyp7cXM3fvkN/btmqWVu2aFPGgfBafbG4wmTPj1dYfrysLuch/25G9ErSiYe30NGHJZuBLgAAAAAA0HRRmauJ+nnmLF089k6/tkF9euu/r7900LsxF69cpVMuv1Yu94EPYDu0aa1Z//lIVmvw7hSkMldo4W41AODYCQCcdwIozQhy/bkqTT8v3qPpy/Yqr8h90GkYPY78/wW7siRr7aclrIm2cXFmqGtgm9Ya3Lq1OiUmyBLAaRm9HreKF76twl/ulzd3d633Z4lpJedxj8vR7xJZDvIZTVXfs3s9HpUs+UAFU++VN3tb7fsXlSLnsY/KcfgVstjsAb1hcWNGhuZu224GuIxpE7dkHrgRsV55rGb1rbD8BFmLIw86jWJUuE1H9UrW6L4pGtEzSVFO7rkFQhWfdQIAx04A4LwT9Y1PCZqotz753G/dbrPp+QfvPWRZ/X49e+iGiy/QC++852vbtG27ps6cpROOHlFn/QUAAAAAAA2XUWnomL4p5lJU4tbs1emauniPZq5IVUaefxUuIwBjK44yF29mS7mduXJFZMkVkW2U8qq3Pm/NyjKXL1es9E3LOLB1aw1o1VJ9WrRQ7+YpigkPr/H+LVabwgdeJUfvc1U442kVzXpWchXWeH/enB0q+PJyFc9+QU6j8lWn0TXel2vTdBVMGSf3jvmqNXu4wo8YJ+dRd8vijK317nKKirR89x4t3bVbC3YY4a0d9T5tYrkAV2GMGeKyFcbIosqDdAnRYRrVu5n5dzC0W6JZkQsAAAAAAKAswlxN0N70DE2f6/9h3Ikjj1L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" ] }, "metadata": { "image/png": { "height": 610, "width": 1209 } }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(8.2, 4.2))\n", "for name, (distribution, color) in residual_models.items():\n", " loss = -distribution.log_prob(residual)\n", " loss -= -distribution.log_prob(zero)\n", " ax.plot(residual, loss, color=color, label=name)\n", "\n", "ax.set(xlabel=r\"residual $r=y-\\hat y$\", ylabel=\"extra negative log-likelihood\",\n", " title=\"Large residuals receive very different penalties\", ylim=(-0.1, 10))\n", "ax.grid(alpha=0.25)\n", "ax.legend()\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "0e92e47d", "metadata": {}, "source": [ "For fixed scale, constants do not affect the best-fitting line:\n", "\n", "$$\n", "-\\log \\mathcal N(y\\mid\\mu,s^2)=\\frac{(y-\\mu)^2}{2s^2}+C\n", "\\quad\\Longrightarrow\\quad \\text{MSE},\n", "$$\n", "\n", "$$\n", "-\\log \\operatorname{Laplace}(y\\mid\\mu,b)=\\frac{|y-\\mu|}{b}+C\n", "\\quad\\Longrightarrow\\quad \\text{MAE}.\n", "$$\n", "\n", "Student-t grows only logarithmically for very large residuals, so one extreme point cannot dominate the\n", "whole fit as easily.\n", "\n", "The optimizer responds to the *slope* of these losses:\n", "\n", "- Gaussian: doubling a large residual roughly quadruples its extra loss, and its pull keeps growing.\n", "- Laplace: doubling a residual doubles its extra loss, so its pull is capped at a constant magnitude.\n", "- Student-t: the pull eventually decreases as a residual becomes extreme.\n", "\n", "That is the practical meaning of robustness here: an outlier is retained in the dataset, but it cannot\n", "dominate the update merely because it is far from the current line." ] }, { "cell_type": "code", "execution_count": 10, "id": "7e3f6104", "metadata": { "execution": { "iopub.execute_input": "2026-08-12T14:14:28.379710Z", "iopub.status.busy": "2026-08-12T14:14:28.379617Z", "iopub.status.idle": "2026-08-12T14:14:28.382938Z", "shell.execute_reply": "2026-08-12T14:14:28.382552Z" }, "purpose": "Verify the MSE and MAE identities numerically" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Gaussian extra NLL: [2.0, 0.125, 0.0, 0.125, 2.0]\n", "0.5 × residual²: [2.0, 0.125, 0.0, 0.125, 2.0]\n", "Laplace extra NLL: [2.0, 0.5000000000000001, 0.0, 0.5000000000000001, 2.0]\n", "absolute residual: [2.0, 0.5, 0.0, 0.5, 2.0]\n" ] } ], "source": [ "r = torch.tensor([-2.0, -0.5, 0.0, 0.5, 2.0])\n", "normal_extra = -D.Normal(0.0, 1.0).log_prob(r) + D.Normal(0.0, 1.0).log_prob(torch.tensor(0.0))\n", "laplace_extra = -D.Laplace(0.0, 1.0).log_prob(r) + D.Laplace(0.0, 1.0).log_prob(torch.tensor(0.0))\n", "\n", "print(\"Gaussian extra NLL:\", normal_extra.tolist())\n", "print(\"0.5 × residual²: \", (0.5 * r.square()).tolist())\n", "print(\"Laplace extra NLL:\", laplace_extra.tolist())\n", "print(\"absolute residual:\", r.abs().tolist())" ] }, { "cell_type": "markdown", "id": "7094cd81", "metadata": {}, "source": [ "## 4. Fit the same line three times\n", "\n", "The prediction rule is always $\\mu_i=b+wx_i$. Only the observation distribution—and therefore the\n", "negative log-likelihood—changes." ] }, { "cell_type": "code", "execution_count": 11, "id": "5b7c59ed", "metadata": { "execution": { "iopub.execute_input": "2026-08-12T14:14:28.383831Z", "iopub.status.busy": "2026-08-12T14:14:28.383761Z", "iopub.status.idle": "2026-08-12T14:14:28.386025Z", "shell.execute_reply": "2026-08-12T14:14:28.385392Z" }, "purpose": "Define the three observation models with one shared scale" }, "outputs": [], "source": [ "fit_scale = torch.tensor(0.35)\n", "\n", "def observation_model(name, mean):\n", " if name == \"Gaussian\":\n", " return D.Normal(mean, fit_scale)\n", " if name == \"Laplace\":\n", " return D.Laplace(mean, fit_scale)\n", " if name == \"Student-t\":\n", " return D.StudentT(3.0, mean, fit_scale)\n", " raise ValueError(name)" ] }, { "cell_type": "code", "execution_count": 12, "id": "bd60e124", "metadata": { "execution": { "iopub.execute_input": "2026-08-12T14:14:28.387041Z", "iopub.status.busy": "2026-08-12T14:14:28.386965Z", "iopub.status.idle": "2026-08-12T14:14:28.389095Z", "shell.execute_reply": "2026-08-12T14:14:28.388679Z" }, "purpose": "Define a short maximum-likelihood optimization loop" }, "outputs": [], "source": [ "def fit_line(model_name, target, steps=1200):\n", " theta = torch.zeros(2, requires_grad=True) # [intercept, slope]\n", " optimizer = torch.optim.Adam([theta], lr=0.035)\n", "\n", " for _ in range(steps):\n", " mean = theta[0] + theta[1] * x\n", " loss = -observation_model(model_name, mean).log_prob(target).sum()\n", " optimizer.zero_grad()\n", " loss.backward()\n", " optimizer.step()\n", "\n", " return theta.detach(), loss.detach()" ] }, { "cell_type": "code", "execution_count": 13, "id": "525a42de", "metadata": { "execution": { "iopub.execute_input": "2026-08-12T14:14:28.389988Z", "iopub.status.busy": "2026-08-12T14:14:28.389917Z", "iopub.status.idle": "2026-08-12T14:14:29.370552Z", "shell.execute_reply": "2026-08-12T14:14:29.370166Z" }, "purpose": "Fit all three models and print their parameter estimates" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Gaussian : intercept= 1.143, slope= 1.568, summed NLL= 197.06\n", "Laplace : intercept= 1.181, slope= 1.965, summed NLL= 41.57\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Student-t: intercept= 1.130, slope= 1.946, summed NLL= 29.90\n" ] } ], "source": [ "fits = {}\n", "for model_name in [\"Gaussian\", \"Laplace\", \"Student-t\"]:\n", " theta_hat, final_nll = fit_line(model_name, y)\n", " fits[model_name] = theta_hat\n", " print(f\"{model_name:9s}: intercept={theta_hat[0]: .3f}, \"\n", " f\"slope={theta_hat[1]: .3f}, summed NLL={final_nll: .2f}\")" ] }, { "cell_type": "code", "execution_count": 14, "id": "796901de", "metadata": { "execution": { "iopub.execute_input": "2026-08-12T14:14:29.371871Z", "iopub.status.busy": "2026-08-12T14:14:29.371759Z", "iopub.status.idle": "2026-08-12T14:14:29.437610Z", "shell.execute_reply": "2026-08-12T14:14:29.437168Z" }, "purpose": "Draw the observations and true line for the fit comparison" }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 587, "width": 1055 } }, "output_type": "display_data" } ], "source": [ "colors = {\"Gaussian\": BLUE, \"Laplace\": ORANGE, \"Student-t\": TEAL}\n", "x_line = torch.linspace(-2.15, 2.15, 300)\n", "\n", "fig, ax = plt.subplots(figsize=(8.4, 4.5))\n", "ax.scatter(x, y, s=30, color=INK, alpha=0.75, label=\"observed data\", zorder=3)\n", "ax.scatter(x[outlier_index], y[outlier_index], s=90, facecolor=\"none\",\n", " edgecolor=RED, linewidth=2, label=\"outliers\", zorder=4)\n", "ax.plot(x_line, true_intercept + true_slope * x_line, color=MUTED,\n", " linestyle=\"--\", label=\"true line\")" ] }, { "cell_type": "code", "execution_count": 15, "id": "6b2c6d26", "metadata": { "execution": { "iopub.execute_input": "2026-08-12T14:14:29.438834Z", "iopub.status.busy": "2026-08-12T14:14:29.438747Z", "iopub.status.idle": "2026-08-12T14:14:29.443840Z", "shell.execute_reply": "2026-08-12T14:14:29.443527Z" }, "purpose": "Add the three fitted lines and display the comparison" }, "outputs": [ { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for model_name, theta_hat in fits.items():\n", " prediction = theta_hat[0] + theta_hat[1] * x_line\n", " ax.plot(x_line, prediction, color=colors[model_name], label=model_name)\n", "\n", "ax.set(xlabel=\"input x\", ylabel=\"target y\",\n", " title=\"Gaussian bends toward the outliers; heavy-tailed fits resist them\")\n", "ax.grid(alpha=0.25)\n", "ax.legend(ncols=3, loc=\"upper center\")\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "eec6f764", "metadata": {}, "source": [ "## 5. Which observations control each fit?\n", "\n", "For every fitted model, compute each point's penalty relative to a perfect residual of zero. A tall bar\n", "means that observation has a large effect on the summed training objective." ] }, { "cell_type": "code", "execution_count": 16, "id": "576ef086", "metadata": { "execution": { "iopub.execute_input": "2026-08-12T14:14:29.445036Z", "iopub.status.busy": "2026-08-12T14:14:29.444965Z", "iopub.status.idle": "2026-08-12T14:14:29.447421Z", "shell.execute_reply": "2026-08-12T14:14:29.447086Z" }, "purpose": "Compute each observation's contribution above a perfect fit" }, "outputs": [], "source": [ "point_penalties = {}\n", "for model_name, theta_hat in fits.items():\n", " mean = theta_hat[0] + theta_hat[1] * x\n", " model = observation_model(model_name, mean)\n", " perfect = observation_model(model_name, y)\n", " point_penalties[model_name] = -model.log_prob(y) + perfect.log_prob(y)" ] }, { "cell_type": "code", "execution_count": 17, "id": "442a3fae", "metadata": { "execution": { "iopub.execute_input": "2026-08-12T14:14:29.448508Z", "iopub.status.busy": "2026-08-12T14:14:29.448449Z", "iopub.status.idle": "2026-08-12T14:14:29.610579Z", "shell.execute_reply": "2026-08-12T14:14:29.610151Z" }, "purpose": "Plot per-observation loss contributions" }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 519, "width": 1707 } }, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 3, figsize=(11.5, 3.5), sharey=True)\n", "for ax, model_name in zip(axes, [\"Gaussian\", \"Laplace\", \"Student-t\"]):\n", " bars = ax.bar(torch.arange(x.numel()), point_penalties[model_name],\n", " color=colors[model_name], alpha=0.85)\n", " for index in outlier_index.tolist():\n", " bars[index].set_color(RED)\n", " ax.set(title=model_name, xlabel=\"observation index\")\n", " ax.grid(axis=\"y\", alpha=0.25)\n", "\n", "axes[0].set_ylabel(\"per-point loss above a perfect fit\")\n", "fig.suptitle(\"Red bars are the same two outliers in every model\", fontweight=\"bold\")\n", "fig.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "2d8ab623", "metadata": {}, "source": [ "## 6. A practical decision rule\n", "\n", "| Observation model | Equivalent loss | When it is a useful starting point |\n", "|---|---|---|\n", "| Gaussian | MSE | residuals are light-tailed; large errors really should be punished strongly |\n", "| Laplace | MAE | occasional large errors are expected; a constant-magnitude correction is desirable |\n", "| Student-t | heavy-tailed NLL | gross outliers may occur and should be discounted smoothly rather than discarded |\n", "\n", "**Takeaway.** A loss function is not merely a numerical preference. It states what kinds of measurement\n", "errors we believe the data-generating process can produce. Inspect residuals, compare fits, and validate on\n", "held-out data; robustness is an assumption to test, not an automatic guarantee." ] }, { "cell_type": "markdown", "id": "a5b3fc94", "metadata": {}, "source": [ "## Appendix A · Deck audit: the exact 12-point teaching case\n", "\n", "This appendix is deliberately separate from the main $y=1+2x$ experiment above. It reproduces the\n", "small case carried through the Lecture 1 deck: ten typical observations and two declared outliers.\n", "\n", "**Evidence contract: SYNTHETIC · COMPUTED.** The coordinates are constructed for hand inspection.\n", "The coefficients below are deterministic consequences of those displayed coordinates and likelihoods;\n", "they are not measured performance, model output, or a benchmark result.\n", "\n", "- Gaussian uses the closed-form least-squares solution.\n", "- Laplace uses the exact least-absolute-deviation optimum found by enumerating all data-pair lines. In\n", " a two-parameter line fit, a finite LAD optimum exists at a vertex where at least two residuals are zero.\n", "- Student-$t$ uses deterministic full-batch L-BFGS on the displayed negative log-likelihood.\n", "\n", "The assertions make the notebook fail if any three-decimal coefficient printed in the deck drifts." ] }, { "cell_type": "code", "execution_count": 18, "id": "46df1476", "metadata": { "execution": { "iopub.execute_input": "2026-08-12T14:14:29.611885Z", "iopub.status.busy": "2026-08-12T14:14:29.611778Z", "iopub.status.idle": "2026-08-12T14:14:29.616747Z", "shell.execute_reply": "2026-08-12T14:14:29.616439Z" }, "purpose": "Define the exact synthetic deck case and deterministic fitters" }, "outputs": [], "source": [ "deck_inliers = torch.tensor([\n", " [-3.0, -2.8], [-2.4, -2.2], [-1.8, -1.9], [-1.2, -0.9], [-0.6, -0.5],\n", " [ 0.0, 0.2], [ 0.7, 0.8], [ 1.4, 1.2], [ 2.0, 2.2], [ 2.6, 2.4],\n", "])\n", "deck_outliers = torch.tensor([[-2.2, 3.3], [2.2, -3.2]])\n", "deck_data = torch.cat([deck_inliers, deck_outliers])\n", "deck_x, deck_y = deck_data[:, 0], deck_data[:, 1]\n", "\n", "\n", "def ols_fit(x, y):\n", " design = torch.column_stack((torch.ones_like(x), x))\n", " return torch.linalg.lstsq(design, y).solution\n", "\n", "\n", "def exact_lad_fit(x, y):\n", " candidates = []\n", " for i in range(x.numel()):\n", " for j in range(i + 1, x.numel()):\n", " if x[i] == x[j]:\n", " continue\n", " slope = (y[j] - y[i]) / (x[j] - x[i])\n", " intercept = y[i] - slope * x[i]\n", " loss = (y - (intercept + slope * x)).abs().sum()\n", " candidates.append((loss.item(), intercept.item(), slope.item()))\n", " _, intercept, slope = min(candidates)\n", " return torch.tensor([intercept, slope])\n", "\n", "\n", "def student_t_fit(x, y, *, nu, scale):\n", " theta = torch.zeros(2, requires_grad=True)\n", " optimizer = torch.optim.LBFGS(\n", " [theta], lr=0.5, max_iter=500,\n", " tolerance_grad=1e-12, tolerance_change=1e-15,\n", " line_search_fn=\"strong_wolfe\",\n", " )\n", "\n", " def closure():\n", " optimizer.zero_grad()\n", " mean = theta[0] + theta[1] * x\n", " loss = -D.StudentT(nu, mean, scale).log_prob(y).sum()\n", " loss.backward()\n", " return loss\n", "\n", " optimizer.step(closure)\n", " return theta.detach()" ] }, { "cell_type": "code", "execution_count": 19, "id": "be5ed5ea", "metadata": { "execution": { "iopub.execute_input": "2026-08-12T14:14:29.617891Z", "iopub.status.busy": "2026-08-12T14:14:29.617824Z", "iopub.status.idle": "2026-08-12T14:14:29.662771Z", "shell.execute_reply": "2026-08-12T14:14:29.662330Z" }, "purpose": "Recompute every deck coefficient and assert the printed values" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SYNTHETIC · COMPUTED · exact Lecture 1 deck case\n", "model fitted (theta_0, theta_1)\n", "typical OLS (0.070, 0.955)\n", "Gaussian (-0.040, 0.397)\n", "Laplace (0.044, 0.906)\n", "Student-t nu=1, s=1 (0.064, 0.928)\n", "Student-t nu=3, s=0.5 (0.065, 0.934)\n", "Student-t nu=3, s=1 (0.053, 0.882)\n", "Student-t nu=3, s=1.5 (0.036, 0.807)\n", "Student-t nu=30, s=1 (-0.014, 0.581)\n", "\n", "All deck coefficient assertions passed.\n" ] } ], "source": [ "deck_typical_fit = ols_fit(deck_inliers[:, 0], deck_inliers[:, 1])\n", "deck_gaussian_fit = ols_fit(deck_x, deck_y)\n", "deck_laplace_fit = exact_lad_fit(deck_x, deck_y)\n", "deck_student_fits = {\n", " (1.0, 1.0): student_t_fit(deck_x, deck_y, nu=1.0, scale=1.0),\n", " (3.0, 0.5): student_t_fit(deck_x, deck_y, nu=3.0, scale=0.5),\n", " (3.0, 1.0): student_t_fit(deck_x, deck_y, nu=3.0, scale=1.0),\n", " (3.0, 1.5): student_t_fit(deck_x, deck_y, nu=3.0, scale=1.5),\n", " (30.0, 1.0): student_t_fit(deck_x, deck_y, nu=30.0, scale=1.0),\n", "}\n", "\n", "\n", "def rounded_pair(theta):\n", " return tuple(float(f\"{value.item():.3f}\") for value in theta)\n", "\n", "\n", "expected = {\n", " \"typical OLS\": (0.070, 0.955),\n", " \"Gaussian\": (-0.040, 0.397),\n", " \"Laplace\": (0.044, 0.906),\n", " \"Student-t nu=1, s=1\": (0.064, 0.928),\n", " \"Student-t nu=3, s=0.5\": (0.065, 0.934),\n", " \"Student-t nu=3, s=1\": (0.053, 0.882),\n", " \"Student-t nu=3, s=1.5\": (0.036, 0.807),\n", " \"Student-t nu=30, s=1\": (-0.014, 0.581),\n", "}\n", "observed = {\n", " \"typical OLS\": rounded_pair(deck_typical_fit),\n", " \"Gaussian\": rounded_pair(deck_gaussian_fit),\n", " \"Laplace\": rounded_pair(deck_laplace_fit),\n", " \"Student-t nu=1, s=1\": rounded_pair(deck_student_fits[(1.0, 1.0)]),\n", " \"Student-t nu=3, s=0.5\": rounded_pair(deck_student_fits[(3.0, 0.5)]),\n", " \"Student-t nu=3, s=1\": rounded_pair(deck_student_fits[(3.0, 1.0)]),\n", " \"Student-t nu=3, s=1.5\": rounded_pair(deck_student_fits[(3.0, 1.5)]),\n", " \"Student-t nu=30, s=1\": rounded_pair(deck_student_fits[(30.0, 1.0)]),\n", "}\n", "\n", "print(\"SYNTHETIC · COMPUTED · exact Lecture 1 deck case\")\n", "print(\"model fitted (theta_0, theta_1)\")\n", "for name, pair in observed.items():\n", " print(f\"{name:29s} ({pair[0]:.3f}, {pair[1]:.3f})\")\n", "\n", "assert observed == expected, (observed, expected)\n", "print(\"\\nAll deck coefficient assertions passed.\")" ] }, { "cell_type": "code", "execution_count": 20, "id": "83ab7d66", "metadata": { "execution": { "iopub.execute_input": "2026-08-12T14:14:29.664032Z", "iopub.status.busy": "2026-08-12T14:14:29.663956Z", "iopub.status.idle": "2026-08-12T14:14:29.775051Z", "shell.execute_reply": "2026-08-12T14:14:29.774601Z" }, "purpose": "Render the exact deck points and three computed fits" }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 655, "width": 1240 } }, "output_type": "display_data" } ], "source": [ "deck_line_x = torch.linspace(-3.4, 3.4, 300)\n", "fig, ax = plt.subplots(figsize=(8.4, 4.5))\n", "ax.scatter(deck_inliers[:, 0], deck_inliers[:, 1], s=34, color=INK,\n", " label=\"ten typical observations\", zorder=3)\n", "ax.scatter(deck_outliers[:, 0], deck_outliers[:, 1], s=90, facecolor=\"none\",\n", " edgecolor=RED, linewidth=2, label=\"two declared outliers\", zorder=4)\n", "for name, theta, color in [\n", " (\"Gaussian\", deck_gaussian_fit, BLUE),\n", " (\"Laplace\", deck_laplace_fit, ORANGE),\n", " (\"Student-t (nu=3, s=1)\", deck_student_fits[(3.0, 1.0)], TEAL),\n", "]:\n", " ax.plot(deck_line_x, theta[0] + theta[1] * deck_line_x, color=color, label=name)\n", "\n", "ax.set(\n", " title=\"SYNTHETIC · COMPUTED · the exact 12-point deck audit\",\n", " xlabel=\"input x\", ylabel=\"target y\", xlim=(-3.5, 3.5), ylim=(-4, 4),\n", ")\n", "ax.grid(alpha=0.25)\n", "ax.legend(ncols=2, loc=\"upper center\")\n", "plt.tight_layout()\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.11" }, "title": "Robust linear regression: Gaussian, Laplace, and Student-t losses" }, "nbformat": 4, "nbformat_minor": 5 }