{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Quick start" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This tutorial shows you how to handle single and multi-resolution maps (a.k.a. [multi-order coverage](http://ivoa.net/documents/MOC) maps or MOC maps). It assumes previous knowledge of [HEALPix](https://healpix.jpl.nasa.gov/). If you already are a [healpy](https://healpy.readthedocs.io/) user, it should be straightforward to start using *mhealpy*.\n", "\n", "See also the [API](../api/index.rst) documentation, as this is not meant to be exhaustuve." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## _mhealpy_ as an object-oriented _healpy_ wrapper" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A single-resolution map is completely defined by an order ($npix = 12 * 4^{order} = 12 * nside^2$), a scheme (_RING_ or _NESTED_) and an list of the maps contents. In _healpy_ there is no class that contains this information, but rather the user needs to keep track of these and pass this information around to various functions. For example, to fill a map you can do:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import healpy as hp\n", "\n", "# Define the grid\n", "nside = 4\n", "scheme = 'nested'\n", "is_nested = (scheme == 'nested')\n", "\n", "# Initialize the \"map\", which is a simple array\n", "data = np.zeros(hp.nside2npix(nside))\n", "\n", "# Get the pixel where a point lands in the current scheme\n", "theta = np.deg2rad(90)\n", "phi = np.deg2rad(50)\n", "\n", "sample_pix = hp.ang2pix(nside, theta, phi, nest = is_nested)\n", "\n", "# Add the count\n", "data[sample_pix] += 1\n", "\n", "# Save to disc\n", "hp.write_map(\"my_map.fits\", data, nest = is_nested, overwrite=True, dtype = int)\n", "\n", "# Plot\n", "hp.mollview(data, nest = is_nested)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "At zeroth-order, [HealpixMap](../api/classes.rst#healpixmap) is a container that keeps track of the information defining the grid. The equivalent code would look like:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from mhealpy import HealpixMap\n", "\n", "# Define the grid and initialize\n", "m = HealpixMap(nside = nside, scheme = scheme, dtype = int)\n", "\n", "# Get the pixel where a point lands in the current scheme\n", "sample_pix = m.ang2pix(theta, phi)\n", "\n", "# Add the count\n", "m[sample_pix] += 1\n", "\n", "# Save to disc\n", "m.write_map(\"my_map.fits\", overwrite=True)\n", "\n", "# Plot\n", "m.plot();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "[HealpixMap](../api/classes.rst#healpixmap) objects are array-like, which mean you can cast them into a _numpy_ _array_, do slicing and indexing, iterate over them and use built-in functions. For example:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Data: [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n", " 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n", " 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n", " 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n", " 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n", " 0 0 0 0 0 0 0]\n", "Max: 1\n", "Max center: [90. 56.25] deg\n" ] } ], "source": [ "data = np.array(m)\n", "\n", "print(\"Data: {}\".format(data))\n", "\n", "print(\"Max: {}\".format(max(m)))\n", "\n", "for pix,content in enumerate(m):\n", " if content > 0:\n", " print(\"Max center: {} deg\".format(np.rad2deg(m.pix2ang(pix))))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Plotting" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "_healpy_ contains multiple routines to plot maps with various projections, and add text, points and graticules. For example, we can do a zoom in the previous map with:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAS0AAAF0CAYAAAB2Ym/RAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+WH4yJAAAS5klEQVR4nO3dfbBc9V3H8c/3XpJAIEWH9AkMSFseJnVK1MrDWHkuAerYSq2F8o8z6qgtM9r6UIdxHET7oONUnSla2ooFLQ+NglMLJUVHgg6ECjZ90FoJNJAQ00oRSAh5uOTrH+fs5ty9u3t3956z53zP7/2aabN7zrnnnt3z+705u3dvYu4uAIhipu4DAIBxEC0AoRAtAKEQLQChEC0AoRAtAKEQLZTCzK41s0/X8H33mNnrpv19UR/jc1qxmNl7JH1A0umSdkvaIulD7v6vE+7PJZ3i7lvLO0qgOlxpBWJmH5D0p5I+LOnVkk6U9OeS3j7Bvo4o9+iA6SBaQZjZsZKul/Q+d7/T3V9094Pu/g/u/pv5Nmea2UNm9pyZ/Y+ZfdzMlhf24Wb2PjN7TNJjZvZAvuqr+cusd+fb/aSZbcn386CZvamwjw+a2dNmttvMvmVmF+XLrzOzvylst8HMdpnZ82b2gJm9sbDuM2Z2g5ndne/nYTN7/YDHfa+ZXdOz7KtmdkXhMb0hv73CzP7YzJ4ys++Y2SfM7Kh83SYze2d++y35112e37/YzLZMdmYwbUQrjnMkHSnpriHbvCzp/ZJW59tfJOm9Pdu8Q9JZkta6+7n5sjPc/Rh3v8PMfkTSTZJ+SdJxkm6U9Pk8CKdJukbSj7n7KknrJW0bcCxflHSKpFdJ+ndJn+1Zf5Wk35P0/ZK2SvrQgP3cmm8rSTKztZJOknR3n23/UNKpktZJeoOkEyT9br5uk6Tz89vnSnpC0nmF+5sGfH80DNGK4zhJz7j73KAN3P1Rd9/s7nPuvk1ZcM7r2ewj7v6su780YDe/KOlGd3/Y3V9295sl7Zd0trIorpC01syWufs2d398wLHc5O673X2/pOsknZFfLXbc6e5fzh/PZ5WFpp+7JK0zs5Py+1fnX7u/uJGZWX7s788f325lL6OvzDfZpPmR+kjh/nkiWmEQrTi+J2n1sPeizOxUM/tC/rLsBWWTdnXPZtsX+T4nSfr1/KXhc2b2nKQ1ko7P36z/NWUR+q6Z3W5mx/c5jlkz+6iZPZ4fx7Z8VfFYdhVu75V0TL+DyeNztw7H50otvGqTpFdKWinp0cJx35svl6SHJJ1qZq9WFshbJK0xs9WSzpT0QJ99ooGIVhwPSdqn7OXdIH8h6b+U/TTwFZKulWQ92yz24+Ltyn4a+X2F/61099skyd1vdfe3KIubK3tJ1us9yn44cLGkYyX9YL6891hGdZukq8zsHElHSfrnPts8I+klSW8sHPex7n5Mftx7JT0q6VclfcPdD0h6UNlPYh9392cmPDZMGdEKwt2fV/b+zA1m9g4zW2lmy8zsMjP7o3yzVZJekLTHzE6X9Csj7Po7koqfc/qUpF82s7Msc7SZvc3MVpnZaWZ2oZmtUBbQl5S9ZOy1StlLyu8pu/r58CSPueAeZZG8XtId7n6od4N82ack/YmZvUqSzOwEM1tf2GyTsvfkOi8F7++5jwCIViDu/jFlVwa/I+l/lV0VXSPp7/NNfkPZVc5uZRP4jhF2e52km/OXVD/r7o8oe2/o45L+T9mb5D+Xb7tC0keVXdXsUvYm+7V99nmLpCclPS3pPyVtHuNhLpC/f3Wnsiu3W4ds+sH8eDfnL0v/UdJphfWblAX1gQH3EQAfLgUQCldaAEIhWgBCIVoAQiFaAEIZ+kuzb515F+/SA5i6+w5tGPiZPq60AIRCtACEQrQAhEK0AIRCtACEQrQAhEK0AIRCtACEQrQAhEK0AIRCtACEQrQAhEK0AIRCtACEQrQAhEK0AIRCtACEQrQAhEK0AIRCtACEQrQAhEK0AIRCtACEQrQAhEK0AIRCtACEQrQAhEK0AIRCtACEQrQAhEK0AIRCtACEQrQAhEK0AIRCtACEQrQAhEK0AIRCtACEQrQAhEK0AIRCtACEQrQAhEK0AIRCtACEQrQAhEK0AIRCtACEQrQAhEK0AIRCtACEQrQAhEK0MJKNO7fUfQiAJKKFEXSCtXHnFuKF2hEtDNUvUoQLdSJa6GuxqyrChboQLSwwapAIF+pAtDDPuCEiXJg2ooWuSQPEG/SYJqIFSVwxIQ6ihdKCxRUXpoFoJayqyBAuVIloJarqsBAuVIVoJWhaQSFcqALRSsy0Q0K4UDailZC6AkK4UKYj6j4AVK8J0egcw/rj19V8JIiOK62Wa0Kwipp2PIiHaLVYUwPR1ONCDESrpZoehqYfH5qLaLVQlCBEOU40C9FqmWgh4Fd/MC6i1RLRJ3/kY8d0ES00BuHCKIhWcNGvsHq16bGgGkQrsLZO8LY+LpSDaAXV9ond9seHyRGtgFKZ0G176YtyEK1AUp3EKT5mDEa0gkh94qb++HEY0QqACZvheYBEtBqPiTofzweIVoMxQfvjeUkb0WooJuZwPD/pIloNxIQcTao/TU0d0WoQJuFkeM7SQrQagom3NDx/6SBaDcCEKwfPYxqIVs2YaOXi+Ww/olUjJlg1eF7bjX/3sAZMqurx7yy2F1daU0awpovnu32I1hQxgerB894uRGtKmDj14vlvD6I1BUyYZuDDu+1AtCrEJGkmzklsRAtJIlxxEa0KcIUVA+coJqJVMiZCLJyveIhWiZgAMXHeYiFaJWHgx8ZL+jiIVgkY7MD08LuHS0Cs2offWWw+rrQmRLDajfPbXERrAgzoNHCem4lojYmBnBbOd/MQrTEwgNPEeW8W3ogfAYMWvEHfHFxpLYJgoYjxUD+iNQQDFP0wLupFtAZgYGIYPkFfH6LVB4MRaC6i1YNgYRyMl+njp4c5Bh8mxU8Wp4srLREslINxNB3JR4uBhjIxnqqXdLQYYKgC46payUaLgYUqMb6qk9wb8QwmTAtv0FcjqSstgoU6MO7KlUy0GDioE+OvPElEiwGDJmAclqP10WKgoEkYj0vX2jfiGRxoKt6gX5pWXmkRLETAOJ1MK6MFREG4xteqaPF3HCEixux4WhMtTjwiY/yOrhXR4oSjDRjHowkfLU402oTxvLiwH3ng5KKt+EjEcCGvtAgWUsA47y9ctDiRSAnjfaFQ0eIEIkWM+/nCRIsTh5Qx/g8LES1OGMCHpzsaHS1OErBQ6nOisdFK/cSg+S68Yoce2bKvlu+d8vxoZLRSPiFotp275rTnxUNL3s/LL/uS95HqPGlctFI9EWi+HTvndMEVT+vyq3Zq954sXH/7hT06+7LtOv3Hn9S/bH5JUhak37r+GZ116Xatu/Ap3XjL85Kk+x/cq4ve+bSufu8unXHBUwO3G0eK86VRn4hP8QQghh0753TRzzytrd8+qO075/SVr++XJM3NSZu/uEb3/NOL+v2PPasvfe4E/eWtL+jYVTN6+N412r/f9RM/tUOXnL9SkvTlr+zT1+4/USefuEyf/Ovn+2538onLxjq2jTu3JPXp+cZEi2Chib50/16d9vpluuTdO7X12we1YoVpw6dfo3PPOUqS9NOXHy1J+tE3rdC27XOSpPs27dXXv3lAf3f3HknS8y8c0mNPHNTy5dKZP3xkN0qDths3WlJav/pTe7SIFZrsrnv26JYNu7Vvn3eD9baLj+6uX7HcJEmzM6a5uex9Knfpz/5gtdZfcPS8fd3/4F6tXGnd+4O2W4oUrrpqfU+LYCGCffuyGN1+4/xgDXLJ+Sv1iZtf0MGD2df99+MH9OLehW/ej7rduNo+r2q90lp//LrWP8GI7dTXLdN55xwpKfvJ4Sh+4epX6Mntc3rzJdvlLr3yuFnd+VevmXi7cbX9SsvcB//o9a0z71r6z2VHRLyApWtLsO47tMEGrWvMRx7a8mQDdVh//Lpk5lBjoiURLmASqc2bRkVLSu8EAEuR4nxpXLSkNE8EMK5U50kjoyWle0KAUaQ8PxobLSmtNxeBUaU+JxodrY7UTxIg8R/xjhDRkggX0sb4PyxMtCROHNLEuJ8vVLQkTiDSwnhfKFy0JE4k0sA476/2v5pmUp0Tyu8som2I1XAhr7SKOMFoE8bz4sJHS+JEox0Yx6NpRbQkTjhiY/yOrjXRkvjwHWJizI6nVdECoiFY42tltBgIiIBxOpmwH3lYDB+JQFMRq6Vp5ZVWEQMETcJ4XLrWR0tioKAZGIflSCJaEgMG9WL8lSeZaEkMHNSDcVeu1r4RPwhv0GNaiFU1krrSKmJAoUqMr+okGy2JgYVqMK6qlXS0JAYYysV4ql7y0ZIYaCgH42g6knsjfhDeoMekiNV0caXVgwGIcTBepo9o9cFABJqLaA1AuDAMf3dbfYjWEAxK9MO4qBfRWgQDFEWMh/rx08MR8JNFEKvm4EprDAzcNHHem4VojYkBnBbOd/MQrQkwkNPAeW4mojUhBnS7cX6bizfil4A36NuHWDUfV1olYKAD00O0SkK4YuMT7nEQrRIx6GPivMVCtErGBIiF8xUP0aoALzVi4BzFRLSQJIIVF9GqEFdczcQ5iY1oTQGTpBn4j0g7EK0pYbLUi+e/PYjWFDFx6sHz3i5Ea8qYQNPF890+/O5hDfidxeoRq/biSqtGTKxq8Ly2G9GqGROsXDyf7Ue0GoCJVg6exzQQrYZgwi0Nz186iFaD8OHHyfCcpYVoNRCTcDREPk1Eq6GYjMPx/KSLaDUYE7M/npe0Ea2GY4LOx/MBohUAEzXD8wCJaIWR+oRN/fHjMKIVSKo/LUvxMWMwohVQKpM41UhjOKIVVNsnc9sfHyZHtAJr68Ru6+NCOYhWcG17CdWmx4JqEC00BsHCKIhWS0S/4op87JguotUy0SZ/9Nhi+ohWC0WJQJTjRLMQrZZqehCafnxoLqLVYk0NQ1OPCzEQrZZrWiCadjyIh3/3MAFN+HcWiRXKwpVWQuoKB8FCmYhWYqYdEIKFshGtBE0rJAQLVSBaiao6KAQLVSFaCavq0+gEC1UiWigtMvxKDqaBaEESV0eIg2iha9JwcYWFaSJamGfc+BArTBvRwgKjhohgoQ5EC30t9pKPYKEuRAtD9YsTwUKdiBYW1YkUb7ijCYgWRkKs0BREC0AoRAtAKEQLQChEC0AoRAtAKEQLQChEC0AoRAtAKEQLQChEC0AoRAtAKEQLQChEC0AoRAtAKEQLQChEC0AoRAtAKEQLQChEC0AoRAtAKEQLQChEC0AoRAtAKEQLQChEC0AoRAtAKEQLQChEC0AoRAtAKEQLQChEC0AoRAtAKEQLQChEC0AoRAtAKEQLQChEC0AoRAtAKEQLQChEC0AoRAtAKEQLQChEC0AoRAtAKEQLQChEC0AoRAtAKEQLQChEC0AoRAtAKEQLQCjm7nUfAwCMjCstAKEQLQChEC0AoRAtAKEQLQChEC0AoRAtAKEQLQChEC0AoRAtAKEQLQChEC0AoRAtAKEQLQChEC0AoRAtAKEQLQChEC0AoRAtAKEQLQChEC0AoRAtAKEQLQChEC0AoRAtAKEQLQChEC0AoRxRxU5X22v9gPZLZrLOQuv+X36/eLt3Xb/7hRuFVZL13B/29ZL3236RffqC9f2+RpJZtu3A9T37HGG/Q7cbsHzk4y0sG3rcw77XqN+n73If+zi7X1dYvmDz7jDx+Yt79lEcVlZY3rttZz/FYTVvWXdd77LeffnAdfP3V9iuZ59999FZXtjXwG367nf+9vMeU+82JnVm9cLtissPz/1Hv7Z/o7tfqpJUEq0D2q+zj7hEshnZjEk2I81YFrGZmexMdf80WWH9vHXd+53b+YVhcdvCejfLrh0L63qXFe+75aPVTN5d1tlW3W29e7+4TXYcndu96xbcnxm2Xb8/bd797m31337eMvVZ1me7RddrsW194H676+YdrxfWH75fXGe926mz3Lv7sp5tzTw/vYe3zZ7mw+tmurfn359Rz/3Cn9m6/Hbxfxq27NCC+7Pd+9m62eJtc82os7yz7JBmlP9ph7rbS+reni18zbztlX2/bP2hfL3ny/Ovy7edVXG5H95f93bnWPPvK2nWpFlZfts0I8vvW35/Jr+d3ZKk2dc+tnrkeIyAl4cAQiFaAEIhWgBCIVoAQiFaAEIhWgBCIVoAQiFaAEIhWgBCMXdffKtxd2r2DUn7St8xgIiOdPcfKmtnlfwaj6R97v7mivYNIBAze6TM/fHyEEAoRAtAKFVF65MV7RdAPKX2oJI34gGgKrw8BBAK0QIQSqnRMrNLzexbZrbVzH67zH0DiMXMbjKz7+af2yxNadEys1lJN0i6TNJaSVeZ2dqy9g8gnM9IKu3vhu8o80rrTElb3f0Jdz8g6XZJby9x/wACcfcHJD1b9n7LjNYJkrYX7u/IlwFAacqMlvVZxucpAJSqzGjtkLSmcP8HJO0scf8AUGq0/k3SKWZ2spktl3SlpM+XuH8AKC9a7j4n6RpJGyV9U9Ln3P0/yto/gFjM7DZJD0k6zcx2mNnPl7Jffo0HQCR8Ih5AKEQLQChEC0AoRAtAKEQLQChEC0AoRAtAKP8Pzg6/MFRPBrMAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "hp.cartview(data, nest = is_nested, latra = [-15,15], lonra = [40,70])\n", "\n", "hp.projtext(theta, phi, \"⬋here\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "[HealpixMap](../api/classes.rst#healpixmap) has a single [plot()](../api/classes.rst#mhealpy.HealpixMap.plot) method, but it is more versatile. It plots into an astropy [WCSAxes](https://docs.astropy.org/en/stable/visualization/wcsaxes/index.html), a type of _matplotlib_ [Axes](https://matplotlib.org/api/axes_api.html), which allows full control over how and where to plot the map, and to use the native methods such as plot(), scatter() and text(). While you can use any WCSAxes you want, `mhealpy` includes various custom axes that take similar parameters to `healpy`'s visualization methods. For example:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(50.0, 0.0, '⬋here')" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "\n", "# Create custom axes\n", "fig = plt.figure(dpi = 150)\n", "\n", "axMoll = fig.add_subplot(1,2,1, projection = 'mollview')\n", "axCart = fig.add_subplot(1,2,2, projection = 'cartview', latra = [-15,15], lonra = [40,70])\n", "\n", "# Plot in one of the axes\n", "plotMoll, projMoll = m.plot(ax = axMoll)\n", "plotCart, projCart = m.plot(ax = axCart)\n", "\n", "# Use the projector to get the equivalent plot pixel for a given coordinate\n", "# You can use it with any matplotlib method\n", "lon = np.rad2deg(phi)\n", "lat = 90 - np.rad2deg(theta)\n", "axMoll.text(lon, lat, \"⬋here\", size = 7, transform = axMoll.get_transform('world'))\n", "axCart.text(lon, lat, \"⬋here\", size = 7, transform = axCart.get_transform('world'))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Order/scheme changes and the _density_ parameter" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In _healpy_ you can change the underlaying grid of a map with a combination of [ud_grade()](https://healpy.readthedocs.io/en/latest/generated/healpy.pixelfunc.ud_grade.html), [reorder()](https://healpy.readthedocs.io/en/latest/generated/healpy.pixelfunc.reorder.html). The equivalent in a _HealpixMap_ is to use [rasterize()](../api/classes.rst#mhealpy.HealpixMap.rasterize), e.g.:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "New nside: 8\n", "New scheme: RING\n", "New max: 0.25\n", "New total: 1.0\n" ] } ], "source": [ "# Upgrade from nside = 4 to nside = 8, and change scheme from 'nested' to 'ring'\n", "m_up = m.rasterize(8, scheme = 'ring')\n", "\n", "print(\"New nside: {}\".format(m_up.nside))\n", "print(\"New scheme: {}\".format(m_up.scheme))\n", "print(\"New max: {}\".format(max(m_up)))\n", "print(\"New total: {}\".format(sum(m_up)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the original map we had one single count, so the maximum was 1. When we upgraded the resolution, the maximum of the new map is 0.25 but the total is still 1. This happened because, by default, the map are considered histograms and the value of new pixels is updated when they are split or combined. In this case, a pixel with a value of 1 was split into 4 child pixels, each with a value of 0.25.\n", "\n", "This behaviour can be changed with the `density` parameter. If `True`, the value of each pixels is considered to be the evaluation of a function at the center of the pixel. Or equivalently, the map is considered a histogram whose contents have been divided by the area of the pixel, resulting in a density distribution. " ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "New nside: 8\n", "New scheme: RING\n", "New max: 1.0\n", "New total: 4.0\n" ] } ], "source": [ "m.density(True)\n", "\n", "# Change grid\n", "m_up = m.rasterize(8, scheme = 'ring')\n", "\n", "print(\"New nside: {}\".format(m_up.nside))\n", "print(\"New scheme: {}\".format(m_up.scheme))\n", "print(\"New max: {}\".format(max(m_up)))\n", "print(\"New total: {}\".format(sum(m_up)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The maximum now stays a constant 1, but the total count is no longer conserved. We now have 4 pixels with the same value as the parent pixel." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Arithmethic operations" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Regardless of the underlaying grid, you can operate on maps pixel-wise using ``*``, ``/``, ``+``, ``-``, ``**``, ``==`` and ``abs``. To illustrate this let's multiply two simple maps:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Result nside: 128\n", "Result scheme: NESTED\n" ] }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import mhealpy as hmap\n", "\n", "# Initialize map. \n", "# Note this are density maps. This parameters comes into play when operatiing over two\n", "# maps with different NSIDE\n", "# If both maps are density-like, the result is also density-like,\n", "# otherwise the result is histogram-like\n", "m1 = HealpixMap(nside = 64, scheme = 'ring', density = True)\n", "m2 = HealpixMap(nside = 128, scheme = 'nested', density = True)\n", "\n", "# Fill first map with a simple disc\n", "theta = np.deg2rad(90)\n", "phi = np.deg2rad(45)\n", "radius = np.deg2rad(30)\n", "disc_pix = m1.query_disc(hmap.ang2vec(theta, phi), radius)\n", "\n", "m1[disc_pix] = 1\n", "\n", "# Fill second map with a similar disc, just shifted\n", "phi = np.deg2rad(10)\n", "disc_pix = m2.query_disc(hmap.ang2vec(theta, phi), radius)\n", "\n", "m2[disc_pix] = 1\n", "\n", "# Multiply\n", "mRes = m1*m2\n", "\n", "print(\"Result nside: {}\".format(mRes.nside))\n", "print(\"Result scheme: {}\".format(mRes.scheme))\n", "\n", "# Plot side by side\n", "fig,(ax1,ax2,axRes) = plt.subplots(1,3, dpi=200, subplot_kw = {'projection': 'mollview'})\n", "\n", "ax1.set_title(\"m1\", size= 5);\n", "ax2.set_title(\"m2\", size= 5);\n", "axRes.set_title(\"m1*m2\", size= 5);\n", "\n", "m1.plot(ax1, cbar = None)\n", "m2.plot(ax2, cbar = None)\n", "mRes.plot(axRes, cbar = None);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The resulting map of binary operation always has the finest grid of the two inputs. This ensures there is no loss of information. If both maps have the same _nside_, the output map has the scheme of the left operarand.\n", "\n", "Sometimes though you want to keep the grid of a specific map. For that you can use in-place operations. If you really need a new map, you can use in-place operations in combination with `deepcopy`. For example:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Result nside: 64\n", "Result scheme: RING\n" ] }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from copy import deepcopy\n", "\n", "mRes = deepcopy(m1)\n", "\n", "mRes *= m2\n", "\n", "print(\"Result nside: {}\".format(mRes.nside))\n", "print(\"Result scheme: {}\".format(mRes.scheme))\n", "\n", "mRes.plot();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Multi-resolution maps" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "[Multi-order coverage](http://ivoa.net/documents/MOC/) (MOC) map --i.e. multi-resolution maps-- are maps that tile the sky using pixels corresponding to different _nside_. Because a simple pixel number correspond to different locations depending on the map order, each pixel that composes the map needs to know the corresponding _nside_. Instead of storing two numbera though, we use the _NUNIQ_ scheme, where each pixels is labeled by an _uniq_ number defined as:\n", "\n", "$$\n", "uniq = 4 * nside * nside + ipix , \n", "$$\n", "\n", "where $ipix$ corresponds to the pixel number in a _NESTED_ scheme. This operation can be easily reversed to obtain both the _nside_ and _ipix_ values.\n", "\n", "As a first example, let's assign to the 12 base pixels of a zero-order map the values of their own indices, but splitting the first pixel into the four child pixels of the nest order:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "# child pixels of ipix=0 | rest of the base pixels\n", "uniq = [16, 17, 18, 19, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15]\n", "contents = [0, 0, 0, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11]\n", "\n", "m = HealpixMap(contents, uniq, density = True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If you plot it, it'll look as a single-resolution map:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "m.plot();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "But if we plot the pixel boundaries it'll be clear that his is a multi-resolution map:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Is this a multi-resolution map? True\n" ] }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "print(\"Is this a multi-resolution map? {}\".format(m.is_moc))\n", " \n", "m.plot()\n", "m.plot_grid(ax = plt.gca(), color = 'white', linewidth = 1);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If you initialize the data of a MOC map by hand, it's generally a good idea to check that all locations of the sphere are covered by one and only one pixel:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "m.is_mesh_valid()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Adaptive grids" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Usually though, you don't need to create the grid of a MOC map by hand since _mhealpy_ can choose an appropiate pixelation for you. The simplest case is when you know exactly which region needs a higher pixelation. For example, assume there is a source localized to a ~0.01deg reosolution. In order to achieve this resolution, you need a map with an _nside_ of 16384 (the pixel size is ~0.003deg). It would be wasteful to hold in memory a full map for only this region of the sky. " ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "NUNIQ pixels in MOC map: 372\n", "Equivalent single-resolution pixels: 3221225472\n" ] }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from numpy import exp\n", "from mhealpy import HealpixBase\n", "\n", "# Location and uncertainty of the source\n", "theta0 = np.deg2rad(90)\n", "phi0 = np.deg2rad(45)\n", "sigma = np.deg2rad(0.01)\n", "\n", "# Chose an appropiate nside to represent it\n", "# HealpixBase is a map without data, only the grid is defined\n", "mEq = HealpixBase(order = 14)\n", "\n", "# Create a MOC map where the region around the source is\n", "# finely pixelated at the highest order, and the rest of\n", "# the map is left to mhealpy to fill appropiately\n", "disc_pix = mEq.query_disc(hmap.ang2vec(theta0, phi0), 3*sigma)\n", "\n", "m = HealpixMap.moc_from_pixels(mEq.nside, disc_pix, density=True)\n", "\n", "print(\"NUNIQ pixels in MOC map: {}\".format(m.npix))\n", "print(\"Equivalent single-resolution pixels: {}\".format(mEq.npix))\n", "\n", "# Fill the map. This code would look exactly the same if this were a \n", "# single-resolution map\n", "for pix in range(m.npix):\n", " \n", " theta,phi = m.pix2ang(pix)\n", " \n", " m[pix] = exp(-((theta-theta0)**2 + (phi-phi0)**2) / 2 / sigma**2)\n", " \n", "# Plot, zooming in around the source\n", "fig = plt.figure(figsize = [14,7])\n", "\n", "lonra = np.rad2deg(phi0) + [-.1, .1]\n", "latra = 90 - np.rad2deg(theta0) + [-.1, .1]\n", "\n", "axMoll = fig.add_subplot(1,2,1, projection = \"mollview\")\n", "axCart = fig.add_subplot(1,2,2, projection = \"cartview\", lonra = lonra, latra = latra)\n", "\n", "axMoll.set_title(\"Full-sky\", size = 20)\n", "axCart.set_title(\"Zoom in\", size = 20)\n", "\n", "m.plot(axMoll, vmin = 0, vmax = 1);\n", "m.plot(axCart, vmin = 0, vmax = 1);\n", "\n", "axCart.set_xlabel(\"Azimuth angle [deg]\")\n", "axCart.set_ylabel(\"Zenith angle [deg]\");\n", "\n", "# Show grid\n", "m.plot_grid(axMoll, color='white', linewidth = .2)\n", "m.plot_grid(axCart, color='white', linewidth = .1);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The function [moc_from_pixels()](../api/classes.rst#mhealpy.HealpixBase.moc_from_pixels) is a convenience routine derived from [adaptive_moc_mesh()](../api/classes.rst#mhealpy.HealpixBase.adaptive_moc_mesh). The same is true for [moc_histogram()](../api/classes.rst#mhealpy.HealpixMap.moc_histogram) and [to_moc()](../api/classes.rst#mhealpy.HealpixMap.to_moc). In the more general [adaptive_moc_mesh()](../api/classes.rst#mhealpy.HealpixBase.adaptive_moc_mesh) the user provides an arbitrary function that decides, recusively, whether a pixel must be split into child pixels of higher order or remain as a single pixel." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Arithmethic operations" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Operations between MOC maps, or a MOC map and a single-resolution map, is the sames as between two single-resolution maps. Something to keep in mind though is that, for binary operations, if any of the two maps is a MOC map, the results will be a MOC map as well. The grid will be a combination that of the two operands. This ensures that there is no loss of information. If you want to keep the same grid, you can use in-place operator (e.g. `*=`, `/=`), but the information might degrade in that case." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA8oAAAFVCAYAAAA3wBaLAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAAewgAAHsIBbtB1PgAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+WH4yJAAAgAElEQVR4nOzdeUCN2f8H8PeTJCFZsyVrjYgUUkhRhJIklbRaQr+vGPuMfZ3GGpNkaaFUskXKElkjkZ2JjCVb1pCkSc/vj8qEpOW599x7+7z+GW73nvOe73c8OqfPOR+O53kQQgghhBBCCCEknxzrAIQQQgghhBBCiCShhTIhhBBCCCGEEFIELZQJIYQQQgghhJAiaKFMCCGEEEIIIYQUQQtlQgghhBBCCCGkCFooE0IIIYQQQgghRdBCmRBCCCGEEEIIKYIWyoQQQgghhBBCSBG0UCaEEEIIIYQQQoqghTIhhBBCCCGEEFIELZQJIYQQQgghhJAiaKFMCCGEEEIIIYQUQQtlQgghhBBCCCGkCFooE0IIIYQQQgghRdBCmRBCCCGEEEIIKYIWyoQQQgghhBBCSBG0UCaEEEIIIYQQQoqghTIhhBBCCCGEEFIELZQJIYQQQgghhJAiaKFMCCGESAiO4+ZzHHf5J+85znHcmiK/V+I4bhfHce84juM5jlMRfVJCCJEeHMcZ/+z5WNzzt+C19ILPDhF9UiJJaKFMCCGEiAnHcTYcxyVyHPeW47j3HMfd4DhuZRmHGQpgTpHfuwDoBcAQQGMAdQq+qdMRKDYhhFQYx3HHRTh2Z47jojmOe85xXDbHcfc5jovgOK5+GYZZAaBvkTHbAZgHwAP5z9bYgnEnCZueSCpaKBNCCCFiwHGcKYBwADsBdAOgB+B3AAplGYfn+dc8z78v8lJrALd4nr/O8/wzALxAkQkhpEI4jrPgOE73m9fsOY7TEHCOhgDiALwE0B9AOwDuAJ4CUCrtODzPZ/I8/6rIS60L/hnF8/wznuc/CRSZSAlaKBORKSgPXMdx3BqO494UlK6M5TiuBsdxgQU/TbnLcdwA1lkJIaSsyvGMswBwmuf55TzPp/A8f5vn+b08z/+vmLGdCn5y8ZbjuHCO42p9M++awl8DmALAqOCnyMcB3Ct466UirxFCSJkI9H3cPwCWcRy3AIAKx3E7APQG8OIHc87nOO4yx3HuHMc95Dguk+M4P47jqnAcN53juGcFPzX+vcjHDAEoAxjN8/wlnufv8Tx/jOf5STzPP/xmCj2O4y5wHJfFcVwCx3Ga385d+GsA+wu+lFfkWaoOYHXB72lTUsbRQpmImgvyd/i6AVgHwA9AJIAEALoADgHYxnFcqXf8CCFEgpTlGfcMQHuO4zr8ZMzWAIYgf2FtgfxvKmf+4L1DAWwCcBb5pYFDC7IAgGmR1wghpDwq9H0cz/M3eZ7vD6AtgE4AjvA8P57n+TclzNkawAAA5gAckP/T4QMAmiH/eTgDwGKO47oXvP8ZAHkA1hzHcT/591mC/M3FLgByAQT84H0rALgV/Lox/nuWPgIwt8hrRIbRQpmI2hWe5xfzPH8HwDIAHwG85Hl+U8FrCwHUA9CRZUhCCCmnsjzj1gFIAnCt4KfF4QU/Nan2zZhyAFwLSqlPAdiGIufmiuJ5/jWALAA5BaWBr/HfT2peFXmNEELKo0Lfx3Ecp8lxXCyAVABXAJhxHLee47g6JcwpB8C9YJG9H0A8AE0AkwqqcQIBpAAwBgCe588BWApgO4CXHMfFchw3jeM41WLG/p3n+RM8z98E8AcAQ47jFL99E8/zmQAyCn79rMiz9DOA94WvlfQ/HJF+tFAmona18Bc8z38G8ArAtSJfTy/4Z0NxhiKEEIGU+hnH8/wHnucHAWgDYDGATAArAZz/5qcx9785g/wU9IwkhLBR0e/jNJC/OJ0LIIPn+eEATgFoUMKc3z4D0wHc5Hk+75vXvszJ8/zvABoBGAfgZsE//+Y4TvtH/z7If7aWlJ1UcrRQJqL27ze/54u+xvN84fkO+m+RECKNyvyM43n+Ls/zm3meH4380kUtAHY/GZOekYQQFir0fRzP8/t5nk/+5rUwnudvl3fOIq99NSfP8694no/keX4K8i/0egJgaglj0/egpET0HwYhhBDCzn3kl07XEHDMnIJ/VhFwTEIIqRCe543FOFcOgLsQ9tkK5D9f6dlaScizDkAIIYRUBgW3qCoBiAHwAIAKgIkAqgI4IuBUz5F/jtCc47hHALJ5nn8r4PiEECIxOI6zAGCP/PZ7twFwACwBDMR/F3IJ5T7yuwyEA/jE8/xLgccnEoR+okwIIYSIxwkArQBsBfA3gFjkn6nrx/N8ilCT8Dyfi/wFuAfySw+jhBqbEEIk0E3kV+asBHAZwDkAw5HfLmqbwHPNBdAC+T+tLrbFFZEd3H9HCwghhBBCCCGEEEI/USaEEEIIIYQQQoqghTIhhBBCCCGEEFIELZQJIYQQQgghhJAiaKFMCCGEEEIIIYQUQQtlQgghhBBCCCGkCFooE0IIIYQQQgghRdBCmRBCCCGEEEIIKYIWyoQQQgghhBBCSBG0UCaEEEIIIYQQQoqghTIhhBBCCCGEEFIELZQJIYQQQgghhJAiaKFMCCGEEEIIIYQUQQtlQgghhBBCCCGkCHmhBuI4rhoA7YLfvgDwWaixCSGVRhUADQp+fY3n+U8swwiFno+EEAHQ85EQQoonkuejYAtl5D/kkgQcjxBSicXHx98CoMU6h0Do+UgIEQw9HwkhpHhCPh+p9LqMlJWVsW7dOqiqqrKO8pV58+ahT58+rGPIhKVLl8LAwIB1jK+4u7vDxcWFdQyxUlBQqMc6Aym7hQsXwsjIiHWMrzg7O2PMmDGsY8iEsWPHwsnJiXWMrxgZGWHBggWsY4gVPR+lk7u7O9zd3VnH+IqBgQGWLFnCOoZM6NOnD+bMmcM6xlcaNWqEdevWQVlZmXUUsRHy+cjxPC/MQBynDuA+AHSFCaqhuiDjShL1dmqwGNUP/jODkZubyzrOdwaPMUf2x084HBLPOopUUqqpiLHLXBHqvRMvHr1kHec73frrQlO3DbYt28E6ish8wkckIf+/39TU1GetW7duzDiSICrD87Fa9WoY94crIlbtxbMH6azjfEe3Tyd06tUegQu2s44itdzmjcCVUzeQfOwK6yjfadxSFcO9hsBvZiBysnNYxxEJej5KN6ff7JBy8Q7OH0pmHeU7DZrVx4jpw7DptyBkZWazjiOVzJ37QKGaAvZtOsg6ynfk5eUx7k9X7N90CA9upbGOIxKiej4KuVBuBiANAHpiIBQ5JUHGlRRd+utAQ7clti/bwzpKifQt9NBCqxki/oxiHUWqNG3bGIMn9MemGSHIzZG8TZBC6lpqGDDKBJtnhCI3V/aOcWXzWTiNGADA/fv3n6mrq8vKN4Iy/XxUVW8Am8mDsHnmdolepEjLn3NJI68gjzHeI7H3r1g8vSt5myCFFJWqwX3ZCOxaFY30By9YxxEcPR+lk7x8FYzydkTs5qN4eOsx6zg/VPjnfN/6Q3h85ynrOFLFbroV7l9PQ2KM5G2CFDXit6FIuXAXFw9L3mZnRYnq+Uil16Vg7maCek3qSPwiGQASoy8i6eBljF3uBDk5+r+3NDr36QBjO0P4TQ6S+G+eH9xMQ8iiXfBY7QqVhrVZxyEE2r3aob+bCdZPCpLoRTIAPL7zFEFzwuGx3Bn1m1HlamnUb1YPHsudETQnXKIXyQCQnfUJ670CYe7eB9o927GOQwjqNlKBx2pXhCzcKdGLZADIzcmF3+QgmNj3gI5JB9ZxpIKcnBzGLndCYswliV8kA8D2pbvRoGld9HczYR1FatBK6idG/DYUzx+9wqFA6Sln/ufqA4Qv24PxPm6oXb/ynEkoD1On3mjUShWhi3exjlJqmRkf4OcVCJvJFtDQa8U6DqnETBx6Qr29GrbOl57jAB8zs+HrFQDLcWbQMtBgHUeiaRlowHKcGXy9AvBRisoxg+dFoGXH5jBx6Mk6CqnENPRawdprEHz/twUf3maxjlNqIYt2okmbRjB16s06ikSrXV8Z433cEL5sD+5ff8g6TqkdDIzHqydv4DDLmnUUqUAL5R+Ql6+CcStdcHpPIpKPXGUdp8zevc6En1cg7GZYoXUnddZxJJLdDCu8f/UesZuPso5SZnl5edgyKxQde7dHjyHdWMchlZDtFEtkZ2YjesNh1lHKJXB2ODS6tIbRsO6so0ik3raG0OjSGoGzw1lHKZd96w/hU9Yn2E6xZB2FVEI9rLtB20gLW2aFso5SLjGb4vD+1XvYTbdiHUUitdFpgeHTBsPPKxDvXmeyjlNmFw5dxpm95+Gxwhny8lVYx5FotFAuRt1GKvBY5YKtCyIlvlSmJHl5edg4bRv0+ulA30KPdRyJUaWKHMYud0biAekolSnJzlX7UVWxKgZP6M86Cqkk5OTkMPoPR1yKv4Gz+y+wjlMhe9fFAgCsJw5knESyWHsNxOfPn7/87yOtEqKScOX4DYzxHklHkYjYDPY0R1UFeexaHc06SoUkxiTTUb5idLfQQ2fTjtg0IwR5eXms45Tbw1uPEbo4/yhf3UYqrONILPov/xuaXdtgyMSB8J0YgKx30lMqU5Idy6NQS0UJFh5mrKMwV7u+MsatdkX4st1SVSpTkuPhZ3Dv6kO4LrRjHYXIuJoqNTDexw07V0UjNfkf1nEEcXLnOdxKvAP3JQ6so0gE96UjcOvsbZzencg6iiBuX/wHkSv3Y7yPG2qq1GAdh8g410X2uHvpHo5HJLCOIogvR/nWuNJRPgAWHmZQUlZC5Ip9rKMIIjPjA3z/twXWXoPoKN8P0EK5iB7W3dC+hyYCfpO99iFxIaeQdvsJnOYNZx2FmTY6LWA71RJ+k4KkslSmJNdO30LslmOYsMYVikrVWMchMqhFezU4zraB/+QgZDx/yzqOoP5OvIMo34PwXDcKSsqydeNuaSkpK8HTxx1Rf8Xi7/OprOMIKuP5W/hPDoLjbBuoa6mxjkNkkKJSNXj6uCNmYxxuJKSwjiOod68z4TcpCMOnDUYbnRas4zDjPH840lKe4Nj2U6yjCG7LrFBoG2mhhzUd5fsWLZQLWHmao2pVeexec4B1FJG5En8DcSEnMGGNKxQUFVjHESsDyy7obNoRm2eGSnWpTEnSH7zA5pnb4bbEAY1bqrKOQ2RIV3MddLfUg//UrTLZlgwAXj15A/8pwXBZMBxqmk1YxxErNc0mcJ5nC/9pW/HqyRvWcUQiN/cz/KduhaFVF3Q112Edh8iQxi1V4b7UAZtmhOB52kvWcUQiLy8Pm2aEoLNpx0p3lE9BUQET1rjiSPAJXDl+g3Uckdm1OhpVFeTpKN83aKGM/FKZ1Ev3cHyHbJTKlOTp3XQE/BaGMd4j0VCtPus4YmHhYYbqtarLTKlMSXKyc+A3OQimzr2hbUTtUUjFDRjdF3VUVRD+x17WUUSusD2Kka0BdPtqs44jFrpmHWFka4ANU4Ilvj2eEMKW7UEdVRUMcO/DOgqRAZ2M28PUyUgq2uMJIXLFPtRQrjxH+Rqq1ccY75EI+C0MT+9Jdns8IRyPSMDdy/fhusiedRSJUakXyopK1eC5VjZLZUqSnfUJvl4BGDimL9obarKOI1LO84fj4d+PZbJUpiTbFuyAupYa+ozoxToKkWKOs22Q/uAFDgcfZx1FrEIX74Jqy4bo52LMOopI9XM1gap6A6lqjyeEw8HHkZ72Eo6zbVhHIVKsr2MvqGk2wbaFkayjiNWx7aeQlvIEzvNl+yhfhx6/YOBYU/h6BSA76xPrOGJzIyEFMRvj4OnjTkf5UIkXyo1bq8JtiQM2TZfdUpmfCZobgTadW8J4uCHrKIIrWipz9cRN1nGYiN5wGB/ff4TtVGqPQspGXkEe41e74mTkWalsjyeE2M1H8SY9A/Yzh7COIhIOs6zx5tkbqWyPJ4TkI1dxMvIsxq1yhbyCPOs4RMrYTh2MrHcfEe1/hHUUJq4cv4EjwbJ7lM/YzhCtdFogaI50tserqOdpL7FpRgjcl9JRvkq5UO5k3B6mjkbwm1w5SmVKEuV7EP/+m4uhkwaxjiIYVfUGGOPtWGlKZUpydv8FXDpG7VFI6dVrUgceK5wRNDcCaSlPWMdhKungZZzdd1Gmek3Ky1fBuJUuSIi6gKSDl1nHYSot5Qm2zt8BjxXOqNuY2qOQn5OTk8MY75G4FHdV6tvjVdTTe7J5lM9msgX+zcnFPt+DrKMwlZOdg/WTgmDqZISOvbVYx2Gm0n3nbDqyF5q2bVzpSmVKcmbPedw4k4JRyxxZR6kw7Z7tMGBUH/h6BVaqUpmSpCb/gx3L92H8Glco163JOg6RYL/ot8XgCf3hOzEAH99/ZB1HIjy4mfal16RKw9qs41SISsPa8FjtipBFO/HgZhrrOBIh610WfCcGwOr/BkCzaxvWcYgEU65bE+PXuGLH8n1IvXyfdRyJ8OUo31hTmTjKN2qZI66dvIkze86zjiIxti2MRPNfmlbao3yVaqE8fJoV3mdkIWZTHOsoEiclKRV7fA7Ac6271LZHMbYzRMuOzRE0N4J1FInz9uU7bJgcBPtZ1mjRoTnrOEQC9Ryqj3b6bRE4u3KWmpUkM+MD/LwCMexXC7TRlc5ekxp6rTDsVwv4eQUiM+MD6zgSJ/D3MGgZaKDnUH3WUYgEaqndHHYzhsBvUhDevnzHOo7ECZoTjtY6LWBsJ51H+ZSUleC5bhT2+BzA7Yv/sI4jcaL9jxQc5RvMOorYVYqFspycHMYud0LykStIjL7IOo7Eev0sA/6/BsN53jA0b9eUdZwysZlsgZxPudi3/hDrKBLr8+c8bJy2DfqDdNFtQGfWcYgEGfJ/AyBXRQ571sawjiKx8vLysHlmKDqbtIehVVfWccrE0KorOvZuL9Pt8YSwZ20MqlSpgiH/N4B1FCJB9Afm/525aUYI/fkpwb71h/BvTi5sJluwjlImzds1hdPcYfCfHITXzzJYx5FYZ/dfwKW4qxhdyY7yyfy/qXLdmhjv44YI7ygqlSmF3NzP2DBlK3pa60PXrCPrOKUy+o/8UpmEvVQqUxoR3ntRu4EyBozuyzoKkQBuSxxw++JdnIw8yzqKVIhcuR+KStVgOV46ek1aju+PakrVsHPVftZRpMKJyATcTr4Lt8XUHoUAA8eYola9Woj4M4p1FKlwZs95XD91C6Ol5Chfl/466DFEH/5TtyI39zPrOBIv9fJ9RC7fhwk+bpXmKJ9ML5RbdVTPL5XxCqRSmTLavnQ3Gjarh36uJqyj/FCN2vmlMjtXRVOpTBkd2XoC6feeY+ScYayjEEaq11SEp4879vsdxs2zt1nHkSrHwk7j/o2HcFlgxzpKiVwW2OH+tYeIDzvNOopUuZlwG/s3HIGnjzuq11RkHYcwMnKuLZ6kPkPcthOso0iVlAt3sdvnADzXjZLoo3zmbiao16QOwpbtZh1Fqrx9+Q7rvQJhP8saLbVl/yifzC6U9S300KW/DpXKVMDBwHi8fvoGDrOsWUf5TvN2TeE4O79UJuP5W9ZxpFLy0WuIDz+DcStdqD1KJdO0bWO4LrKH/7StePnoFes4UunayVs4GHBMItujKCpVw4Q1rjgYcAzXTt9iHUcqvXz0Cv7TtsJ1kT0at67c7VEqG3kFeYxb5Yr4sNO4HH+ddRyp9PpZBvwnB8FprmQe5XOYNRQvHr/GocB41lGkUl5e/lG+bgM6Q3+gLus4IiWTC+WBY0xRS0UJO5ZTqUxFXTh0GQlRF/IXUxLSHiW/VKYbNk6jUpmKenznKYLnRcBjhTPqN63LOg4AoG3btqwjyDQdkw4wse8Bv8lByM3JZR1HqqU/eIHNM7dj9B8joKregHUcAPnt8dyXOmDzzO1If/CCdRyplpuTC7/JQeg7ohd0TDqwjgMAqFatGusIMq1+s3rwWO6M4LnheHznKes4Ui039zP8p+Yf5evSX4d1HAD/tcc7szcRFw9fYR1H6kX8GYVa9WphoAwf5RN8ocz6gLfT3GF4nPoUcSGnmOaQJQ9upiFk0U54rHZF3UZse00OcO+Deo1VELZsD9McsuRjZjZ8JwbAcnw//KLPdpGq16cT7Owku5y1ItTU1JjOb+pkhCZtGiFk0U6mOWRJYa9Jc/c+0O7VjmkWbaN26O9mgvWTgpCTncM0iywJWbQTTdo0gqmTEdMcDdXqY/ny5UwziFKfPn2Yzq9loAELDzP4egXgY2Y20yyyZPvS3ajXpA7M3dge5avbSAUeq12xdUEkHt56zDSLLInbdgJP7qZj5Fxbpjnk5ORE8nwUfFXr4+MDlfrKQg/7U1WrVcX41a6ICz2FK/E3xD6/rMvM+ADf/22BtdcgaOixaY8y4rehSE97iUNBx5nML+sCZ4fjl25tYDSsO5P5zZx7o3GrRli8eDGT+cXBw8MDHQzZLKbsZgzB+1eZ1B5PRILnRaBFh+YwcejJZP4+Dj2hrqWGrfN3MJlf1sVsisP715mwm27FZP72hpqw8hiAiRMnMplfHFq3bg1zZzaLZSNbA2h0aY2gOdQeTxQOBcbjxePXcJg1lMn8ml1aw3riQPj+bwuy3mUxySDLLsdfR3zYaYxf7crkKF/t+sqY6DMWy5YtE3xswRfKXl5ecJhug9ad1IUe+ocaqNXH2D+dEDQnHE/vpott3spoy6xQaBtpoYd1N7HNWVgqc3r3OSQfuSq2eSujvetiAQDWEweKdV77GUPw7uV7RG+W7fZes2fPhqZuGxgPF1+vycL2eEmxl5AYkyy2eSuj/X6HkP0hG8N+tRTrvLZTLPHxQzaiNxwW67yVTeKBZCQdvIyxy53EWj3X29YQbfVaYdPsbWKbk4VNmzbh7cv3sJsxRKzzWk8cCPD8l7//iGhcPHwFZ/Ymiv0oXw/rbujQqx22/LZdbHNWRo/vPEXQnHB4LHdG/Wb1xDZvG50WGD5tMNZ6bcTr168FH1/wJ31eXh78pgdC16wT9C30hB7+O1qGGrAYa0qlMmK0a3U0qirIY/AE0bdHqdtIBR4rXfJLZf5+IvL5CHBy5zncSrwD96UjRD6XvHwVjF3ujHMHkivNIm7XX/uR+28urL1EvxlRu74yxq9xRfiyPfjn6gORz0eAs/su4PLxGxj9h6PIF1NycnIY/YcjLsXfwNl9F0Q6F8n3z9UHCF+2B+N93FBbDNVz1l4D8fnz50qziDsbk4TEA8li24xwX+KAW4l3cHLnOZHPRYCHtx5j64JIeKxyEctRPitPc1RVkMeu1dEin4sUHOXzCoCFhxm0DDREPp+BZRd0NtUW6cXNInsKRa7Yh1oqSrDwMBPVFOhtawgN3dYIpFIZsTsekYB7Vx/CbZHoek1qdm2DIf8bAF+vACqVEbO/E+8g6q9YeK4VXXuU2vWV4bHaFWFLd+P+9YcimUNSnd5zHjcTbmPUMtFtRhTusvpNCsK715kim4d8LzX5H+xcFY3xPm6oqVJDJHPUVKmB8T5u2LkqGqnJ1B5PnN69zoSfVyCGTxss0uo596UjcOvsbZzenSiyOSTR/esPRb4ZUb1WdXiudUeU70H8nXhHJHOQ4mW9y4LvxABYew2CZpfWIpvHdZE9Ui/dw/GIBJHNQYoXNCccGl1ai/Qon4WHGarXqo7IFftFNgcg4luv40JOIS3lCZxEcMD7yy7rX5Vjl1USXTt9Cwc2xsHTxx2KSsLexNnDuhvaG2oi4PcwQcclpffqyRv4T90KlwV2aNq2saBjt+ncErZTLeHnFYj3byrnIi4lKRV71+ZvRgjda7K7RRd0Nu1I7fEYynj+Fv6Tg+A42wYt2gt7iVuLDs0x4ncbao/HUF5eHjbNCIFePx10t+gi6NhKykr5i7i/YvH3+VRBx5YWRTcj2ui0EHRsNc0mcFlgB/+pW/HqyRtBxyalt2VWKDr0aif4UT5FpWrwXOuOmI1xuJGQIujYpPREeZTPef5wpKU8wbHtor+4WeR1LVeO30Bc6EmMXy1cr0n3JQ64mVD5dlkl0fO0l9g0IwTuSx3QuKUwvSatPM0hX1Ueu30OCDIeKb/cnFxsmBIMYztDdO6jLciYBpZd0LlPB2yeGVrpF3Gvnr6B/5RgOM+zhdovwvSatPAwg5JydUSu2CfIeKT8CtujdLfUQ1dzYdqjdDXXgYGlHrXHkxA7lkehpkp1warn1DSbwHmeLS3i8N9mRGfTjjCwFGYzQrevNoxsDbDhV2qPJwkKj/JZeZoLMl7j1qpwX+qATdND8DztpSBjkvIrPMo3apmjIOMpKCpgwhpXHAk+gSvHxXNxs1huo3h6Nx2Bv4dhjPdINFSrX+5xvuyy+h5ESlLl3GWVRIXtUUydjNCxt1aFxioslTmxg0plJEno4l1o1KohzJx7V2gci3H98ktlVoq2VEaa5P77GRumBKOXjT50TSu2GSHOXVZSeuF/7EWdRnUwYFTFbvQdMLov6qhSezxJExdyCo9uP4Xz/OEVGkfXrGP+Im5KMC3iiohcsQ/Va1V8M6KfizFUWzZE6OJdAiUjQjgekYC7l+/DtYJH+ToZt4eZU29qjydh/k68g73rYuC5bhSq16pe7nEaNq+PMd4jEfBbGJ7eE9/FzWK7tjE76xN8vQIwYHRftDfULPPn83dZh9EuqwTbtjASzX9pij4jepX5s4pK1eDp444DG49QqYyEit18FG9fvIP9zPLdSOo8fzge3EyjRdwPbF+yG6rNG6Cfa9l7TbLYZSVlczgoHukPX8Jxtk25Pu842wbp957jcPBxYYMRQVyOv44j206Uu3qun6sJVNXq0yLuB45tzz/KV97NCIeZ1niTnoHYzUcFTkaEcP3M34ipwFG+PiN6QU2zCbXHk1CvnuRXz7kssIOaZpMyf167ZzsMHN0Xvl4ByM76JIKEPya+/gYFgudFoHXnluhtW/r2KLpmHdFrmAE2TNlKu6wSLtr/CD6+/wjbqYNL/ZnGrVXhtsQBm2aE4EXaKxGmIxV1PvYSzkUnY+xy51K3dyi6iLt28paIE0q32IBjePP0DRxmWZf6Mw3V2OyykrJLPnIVJyPPYtwql1L3mpRXkMf41a44HucXu84AACAASURBVJGA5KPXRJyQVER5q+ccZlnj9dM3iA04JsJ00u/K8Rs4EnwCE3zcSr0ZIS9fBR4rnJGw7wKSDl4WcUJSEV8d5WtV+qN8tlMH48O7LET7HxFhOlJRuTm52PBrEIxsDaDbt/TVc8b2PdCyU3MEzY0QYbofE/tCGQD2+R5Ebm4uhk4a9NP39nMxhqpafWxfQrus0uLs/gu4FHcVY7xH/rS9Qyfj9ujraAS/yVQqIy3uX3+I7Ut2wWOVy09vJFVVb4DR3o60iCuDpEOXkRB1AeNW/nwzor2hJgYWtMcT9y4rKZ+0lCfYOj8SHsudUa9JnRLfW69JHXiscEbQnHA8vvNUTAlJRZSlek5evgrGrXRGQtQFXDhEi7jSeHovHQGztpdqM0KlYW14rHJB6OJdeHAzTUwJSUUUPcrXybh9ie+Vk5PDGO+RuBR3FYnRF8WUkFRU6OJdUG3ZEP1cjH/6XpvJFvj307/Y53tI9MF+gMlCGQDO7DmPG6f/xqgSerXazxyC188yaJdVCqVevo8dy/dhvI8blOvWLPY9fR17oWnbxghZGCnmdKSiMjM+wG9SEGynWqKNbqti36Pdsx3M3ftgvVcgLeLK6MHNNIQs2gWP1a6oo1p8r0ljO0O01mmBIGqPJ3Wy3mXB1ysAVp7m+KVbm2Lf84t+Wwz2NIfvxAB8zMwWc0JSUcHzItCmc0sYDy++ek6lYW14rHZFyCJaxJVV0c2IDj1+KfY9bXRbYdivFvCbFITMjA9iTkgqatuCSKhpNkFfx+KP8inXrYnxPm7YsXwfUi/fF284UmGxm4/iTXoGHGb+uHpu9DJHXDt5E2f2nBdjsu8xWygDQMqFu9izNgaePl+3RyncZT277yLtskqxty/fwc8rEHYzrdFS++tek8OnWSHzbRZiNsUxSkcqKi8vD5tnhqKzSXsYDP76RlJj+x5o2bE5guexKZWRBZkZH+DnFQibSYPQVu/rzQibyRb4NycX+9az22UlFRfwexjadddAz6H6X73ey0Yf7fTbIpDa40m1KN+D+Pff76vnNPQKFnFegbSIq4DgeRFopaMOY/seX71uOLgLdIy1qLOClIv2P4IPb7O+O8rXqqM67GZaw88rEG9fvmOUjlRU0sHLOBt9ER7Lnb6qnqtRO//i5t0+B3D74j8ME+ZjulAGgNfPMuA/JRhOc4ehebumtMsqY/Ly8rBp+jZ0G9gZ+gN1IScnh7HLnXDx8BUqlZERkSv3o3oNRViM6wcgfxGX8zGHFnECyMvLw+ZZoehopIUeQ/J7TY5e5ohrp24x32UlwtizNgZyVeQw5P8GAMjvOcnJyWHP2hjGyYgQzuw5jxtnUjBqWX71nKFVV2gb0SJOKPt8D+HfT//CZrIFAMByfD8o1lDEzlXRjJMRIZyLvph/lO9PJ8jJyUF/kC66DtDBpunb6M+PDLh//SFCl+zGuNUuUGlYG83bNcXIOcPg/2swXj/LYB0PAMDxPC/MQBzXDEAaAPTEQChySj/5xPcm+XtApWFtLLRZQX8AZNDgCf1hbN8DC4auoF1AGdTJuD1GLRuBv/5vS7l3AbP5LJxG/gLh/v37z9TV1RsLmZEVIZ6PxvY9YDzcAGsnbJaYv0CIcLQMNTBupSs2TAnCzYTbrOMQgdVtpII5O37FoeDjOLilfMfJ6Pn4Yxp6rfB/f43G5pkhuHriptARCWO16ytj3q6piA8/g/1+tAkva+Tk5DBv91S8fpYBn3EbyzWGqJ6PzH+iXMjQqisepTxB4v4LMHOpWK9WInladVSHqnoDhC7aBcvx/VjHIQKrqVIDRsO6w9crEKZORuVqj0JKdjz8DHatOoDBnuasoxCBVa+pCBOHXvhrYgBM7Hqiek1F1pGIwAZ7miNoXgRaaKmhebumrOPIFEWlajBzNobvxC3oNcwANVVqsI5EBDZ4Qn+ELIpE41YN0aqj+s8/QKRKf1djJEQl4cmdpzC06so6zlckYqE8eEJ/KFRXwM5V+xEbcAyvnryBw6yhrGMRgehb6KFLfx1smhGCi0euID78DMavdi11exQi2dS11OA42wZ+k4KQcj4VAb/lt0dRVW/AOprMuXb6FmI2HS13r0kieZq2bQzXRfbwnxKM20mp8J+2FW6L7dG0rUz8sLDSU1SqBk8fd8RuPoor8TewYUowetl0R5f+OqyjyQRV9QYYtcwRm2aEICXpLvwnB2HknGG0GSEj5BXkMWGNK46FnUZy3DVsnLYN3QZ0hr6FHutoRCCOs22QnvYShwLjEblyPxRrKGLwhP6sY33BfKHsssAO964+xPHwM19eu3DoMs5EnYdHKdqjEMk2cIwpaqkoYcfyqC+vPb7zFEFzwuGx3Bn1m9VjmI5UVFdzHRhadYH/1K3Izf0M4L8bSc3d+0C7ZzvGCWXP84cvvvSabNSiIes4pAJ0+2rDxL4H/CYHITcnF0B+r8n1k4JgYt8DOiYdGCckFdG4pSrclzpg04wQpD948eX10MW70KBpXfR3M2GYTvppG+V3VvD1CvjSXjI39zM2TAlGT2t92oyQcvWb1YPHcmcEzv66PV64917UqlMTA8eYMkxHKir/4mYXnNp1DslHrn55/dj2U7h3/SFcFtgxTPcfZgtlRaVqmLDGFQcDjuHa6Vvfff3hzUcILWiPUrdR8e1RiGRzmmuLJ6nPEBdy6ruvfczMhq9XACw9zPCLflsG6UhFDXDvg7qN6yBs2Z5ivx48LwItOzb/7kZSUnGFvSb7uRpD24g2I6SRqVNvqLZsiJBFO4v9esiinWjSphFMnegokjTSNmoHM5feWD8p6Msirqj/qud+3B6F/JiJQ0+oa6n9sLPC9qW7Ua9JHQxw7yPmZEQIWgYasBxnBl+v4tvjxW07gSepz+A015ZBOlJRdRupwGOlC7YuiMTDW4+/+/q1k7dwMOAYJqxxZX6Uj8lCWVW9AdyXOmDzzO1f7bJ+KzPjA3z/twXWXoOgoVd8r1YieRQUFTBhjSviQk/icvz1Et8bOCccv3RrA6Nh3cWUjgihaKlMSfatP4ScjzkY9quFmJJVLlvn74C6lhr6OPRkHYWUgf2MIXj/6j1iNx8t8X0xm+Lw/tV72E23ElMyIoQ+I3pBXUsNW+fvKPF9Fw5dxpm95+GxgqrnysJ2iiWyM7MRveFwie87FBiP9LSXGPEbHeWTJr1tDaHRpTUCZ4eX+L7L8ddxLOw0HeWTMppd22DI/wbA1ysAWe+yfvi+9AcvsGXWdoz2dmR6lE/sC2Vto3bo52ryw13W4myZFQptIy30sO4m4nSkohqq1ccY75EInB2Op3fTS/WZvetiAeS3RSGSrbBU5mTk2a9KZUqSEJWEqyduYoz3SMjJMT/tIXOiNxxG9ods2E61ZB2F/ERhe7xzB5KRGJNcqs8kxiQj6eBljF3uRH9+pIDtFEt8fP/xp4u4Qg9vPUboYqqeKw05OTmM/sMRl+Jv4Oz+C6X6TPKRqzi9JxHjVrrQZoQUsJ44EJ8/f/7yfeHP0FE+6dLDuhva99BEwO9hpXr/p485WO8VmH+Uj1H1nFj/1i0sldm2oORd1uLsWh2NqgryEnXAm3ytvaEmBo41/WGpTElO7jyHW4l34L7EQUTpSEUVLZVJS3lSps/evvgPIlfux3gfN7qRVAQS9l3ApaPXaTNCgtWur4zxPm4IX7YH968/LNNn/7n6AOHL9mC8jxtq11cWUUJSEXJychjjPbJMi7hChdVzQ6l67odqqtTABB837FwVjdTksrUffHjrMbYuiKTNCAnnvsQBN8/exundiWX63JejfOPMoGWgIaJ0pKKsPM1RVUEeu9ccKPNng+dFoGWH5jBhUD0ntu+obKdYIvvDz0tlSnI8IgH/XHkA10X2AiYjQuhta4i2uq0QNKfkUpmS/J14B1G+B+G51p3ao0iY0pbKlCTj+Vv4Tw6C4xwbqGupCZyQpF66hx0r8jcjatWpyToOKaKNTgsMnzYYfl6BePc6s1xjvHudCT+vQAyfNhhtdFoIG5BUiHLdmhjv44bIlfvLvIgrajNVzxWrRYfmcJxtgw2Tg5Dx/G25xsh6l/XlKJ9m1zYCJyQVoaSsBM91oxDlexApSanlHidwdjg0urRGb1tDAdMRIbguskfqpXs4HpFQ7jH2rT+ET1mfYDtFvNVzIl8of1Uqs69su6zFuX7mb8RsjKP2KBJk6KRB+aUyf5WuVKYkr568gf/UrXBZaIdmGk0ESEcqqudQ/TKVypQkN/cz/KdshaFVF3SlG0kF9/bFW2yYFIQRv1mjRYfmrOMQAAaWXdDZtCM2zQhBXl5ehcbKy8vDphkh6GzaEd2pPYpEaNGhORxmWcO/Aou4oqh67mtdzXVgYKn3VWeFitgyKxQdev6CnrQZIRHUNJvAeb4t/KcE49WTNxUeb++6WHz+/JmO8kkIRaVq8FzrjpiNcbiRkFLh8RKiknAp/oZYq+dEOktNlRoYv8a1XKUyJXme9vJLe5TGLVUFG5eUnfvSEbhxJqXMpTIlyc3JxYZfg9F7uAF0+2oLNi4pOytPc1SpUqVcpTIlCVu2B3XpRlKR+Pz5M/ynbYOBhR66DejMOk6lZuFhhuq1qiNyxT5Bx41csQ81aivBwsNM0HFJ2egP1EX3Qbrwn7ZNkEVcIaqeyzdgdF/UafTjzgrltWt1NOQV5GHlaS7ouKRsdM06wsjWABt+Df7SHk8Ip3cn4ta523SUj7HGrQva400PwfO0l4KNm5qcf5TPc614jvKJbKHcokNzjPjdBv6/Bguyy/qtwvYopk5G1B6FASVlJXiudUfUutgKlcqUJHTxLqi2bIh+LsYiGZ+UrLBU5kRk+UtlSlJ4I6njbBuRjF/Zhf2xByoNa2PgaOo1yYLz/OFIS3mCY9u/b48nhKOhp5CW8gTO84eLZHxSsgGj+6J2A2WEe+8VyfiVvXrOcbYN0h+8wOGgkjsrlNfxiASkXrpX6TcjWOnnYgxV9QYIXbxLJOP/fT41/yjfulFQUlYSyRzkxzoZt4epo1GZLm4ui4znb+E3KQgj59igRXvRHuUTyUJZ31wP3S10sXGaMKUyJdm2MBLq7Zqhz4heIp2H/Eftl6ZwnmcL/6lb8eppxUtlShK7+SjepGfAfuYQkc5D/qOoVA2ePm6I9j8iSKlMSZKPXMXJyLMYt8oV8lXpRlKhHQ4+jmf30mkzQowK2+MdCT6BK8dviHSuK8dv4EjwCYnoNVmZjJwzDOn3nuNw8HGRzlMZq+cUFOQxfrVrmTorlNeNhJRKvRnBisMsa7xJz/hpe7yKevXkDfynBMN5ni3UNOkon7iYjuyFpm0bY9vCSJHOk5v7GRumbIXh4C7oai66o3yCL5RHjx6NOg1VEP6HaHZZixPtfwQf33+E7dTBYpuzstI16wijYd2xYYqwpTIlSTp4GeeikzF2OfWaFLXGrVXhtsQBG6eH4OWjV2KZMy3lCbbO3wGPlS6o17iOWOasTJKPXsOJHWep16QYqKo3wBjvkQj4LQxP75WuPV5FPb2XjoDfwjDGeyQaqtUXy5yVlXzBIi4+/AySj14Ty5xFq+c6G8v2UaQmTZpgwsrRCJ63o8ydFcrrq82I1pVjM4KVwvaSCVEXkHTwsljmzM3JxYYpweg93BC6Zh3FMmdlZjfdCu8zshCzKU5sc25ftgd1G9eBxWjR3OvA8TwvzEAc1wxAWt++ffHpaDUocuIvdWij0wImI3phy8zQCl+aQr7X380EchyH2IBjTOavqVIDLovsEbowEhkv3jHJIMt0TDpAu1c7ke8ClsR5iS3W7VmBpKQk3L9//5m6unpjZmEEVPh8BICeGMjk+Vi9piLcl45AhPdevHz8Wuzzyzrtnu2g179ThW7+ryjXRfZIir0k8kqQyqhekzqwnzUUAbNCy9z+UCj9x/bGpfdnsX37dpl8Pi5ZsgSxv59h8nwEAKe5trh68qbIK0EqI5WGteE0dxgCZ4cjM+MDkwwDRvfF538/i7wSpDKSk5PDaG9HHAs9hdTL95lk0DbVRM3ucli0aJGgz0fBF8oAu28EgfxelSPn2WLbvIhyt+Eg33OYNRSpyf8g6ZB4dgF/RE5ODu5LHHA88qygF8RVdqYje6GaUjUc2Ci+XcDiZPNZ6DJJA2vWrJHJbwQBts9HAHBb4oBz+y/i1rnbzDLIGhOHnlCuWxNRvgdZR4GVpznevnxXoTYc5GtaBhrobqEnyM3/FZHNZ6GOZRXs37+fno8iMmisKT5lfUJciGjuFqiMNPRawcjWAAG/hTH/IVZXcx206dxS8AviKjPlujXhtMAOIQsi8fYlux9iZfNZeKF5FykpKYI+H8XWR1lc3r58Bz+vQNjPovYoQvivVCaJ+SIZyG+PsnlWKDqbtIehVVfWcWRCYakM60VyoTVr1rCOINMCfw+DZrfW6GWjzzqKTLCZbIGc7ByJWCQDQJTvQfybkwubyRaso8gEo2Hdodm1DfNFcqH9+/ezjiDTDmyMw/uMLDrKJxBDq67o2Ls9NktIpWfSwctIiLqAcSvpKJ8QWnVUh91Ma/h5BTJdJBdKSRG+mkrmFspA/mJq47Rt0B/UGfoDdVnHkVp1VFUwbrUrQhbtxIObaazjfCVy5X4o1lCExbh+rKNILTk5OXgsd8KFQ1eQGH2RdRwiRnvXxoKTk6NekxU0+g9HXDt5E2f2nGcd5Stn9pzH9dN/Y9QyR9ZRpFrhn489a2MYJyHilBh9EZfirmLsciex9WqVRYMn9Ec1pWrYuUqyNnce3ExDyKJd8FjtCpWGtVnHkVr6Fnroaq6DTdO3ScQmiKjI9BMgwjsKyvWVMXAMtUcpKw29VrCZPAjrvQKZnSf5mWPbT+HBzTS4LLBjHUXqKNerhQk+bgj/Yy/uXrnPOg5h4GTkWfx9/g7cl45gHUXq1KitBM91o7B7zQHcviiZR0BSklKxx+cAtUcpJ/clDkhJSsXJnedYRyEMpF6+jwjvKEzwcYNy3Zqs40gd14V2uHftIeLDTrOOUqzMjA/w8wrEsF8t0FavFes4UmfQWFPUqlMDEX9GsY4icjK9UAaAI1uP4+ndZxg5ZxjrKFKjx5Bu0DbSkphSmZJcO3kLhwLjqT1KGbTqqA67GUOw3isQb1+9Zx2HMHTr3J38XpNr3VG9piLrOFKhebumcJo7DP6Tg/D6WQbrOCV6/SwD/pOD4DRvGJq3a8o6jlSoXlMRnutGYZ/fYdw8S+f4K7O3L99hfcFRvlYd1VnHkQr57SXdEbvlGK6dusU6Tony8vKweWYodIzpKF9ZOM0bjsd3niFu20nWUcRC5hfKAHDp2HXEh5+h9iilMNizPxSqK2DX6mjWUUrt2f3nCPgtDKO9HaGq3oB1HImmb6GHLv1lv1SGlN6rx6/hP3UrXBbao2lbmbgbSGS69NdBT2t9bJiyFbm5n1nHKZXc3M/wn7IVPa310aW/6HpNyoKmbRvDdZE9/KcEi609HpFshUf5uprrQN9Cj3Uciaaq3gDuSx2waUYI0h+8YB2n1CJX7kc1pWoYPEE07YVkhYKiAiascUVcyAlcjr/OOo7YVIqFMgA8vvMUQXPC4bHCGfWb1WMdRyK5LrLHvSuSWypTkuysT1jvFQhz9z7Q7tWOdRyJZOFhhloqStixXPZLZUjZ5ObkYsOvQTCxM4RuX9nu1VpeA9z7oF6TOti+dDfrKOWyfelu1G9SB+ZuJqyjSKTOfTrAxM4QfpODkJuTyzoOkTARf0ahVp0aGDSWjvIVR9uoHfq7mWD9pCDkZOewjlNm8WGnce/aQ7gupKN8xanfrB7GeI9E4OxwPL2bzjqOWFWahTIAfMzMhu/EAFh4mEHLQIN1HInxpVRm81FcOy3ZpTI/EzwvAi21m8PEoSfrKBLFaa4tHt1+Si0vSIlCFu9Co5YNYebcm3UUiTLit6F4/ugVDgXGs45SIQcD4/HyyRuM+G0o6ygSxdSpNxq1UkXI4l2soxAJFrftJB7feQanubaso0gUE4eeUNdSw9b5O1hHqZBrp24hdssxePq4Q1GpGus4EqO9oSYsPMzg6xXArIc8S5VqoVwoaE44NLq0htGw7qyjMNe4papUlsqUZN/6Q/iU9QnDfqX2KF9KZUJPVqpSGVJ+MZuP4t3L97CfOYR1FOYK2+Od3pOIi4evsI4jiAuHLuP0nkSMW+lC7VEA2M8Ygvev3iN281HWUYgUuBx/HUe3n8KENa6oWq0q6zjM2U6xxKesT4jecJh1FEGkP3iBTTNC4L5sBB3lA9Db1hBt9VohaE446yjMVMqFMgDsXRcLAJW6PYq2UTuYOhtJbalMSRKiknDlxE2M8R5Zads7NFSrn18q83tYpSuVIRWTGJOMxAPJGLvcGVWqVM4/P3UbqcBjtSu2LojEw1uPWccR1MNbj7Ft4U54rHZF3UYqrOMwIS9fBR4rnHHuQDISY5JZxyFS5EnqMwTODsfYP50q7VE+OTk5jP7DEZfibyAhKol1HEHlZOf8d5TPqPIe5Rs6aRA+f/78Zb1UWVXO74AKnNx5DrcS72BUJWyP0mdEL6hrqWHbgkjWUUTmzsV/ELlyPyb4uKGmSg3WccSqvaEmBo7tm18q8+ET6zhECt279hBhS3dh/Bo31K6vzDqOWGl2bQNrr0Hw/d8WZL3LYh1HJD68/QDf/23BUK9B0OjSmnUcsapdXxnjVrsibOlu3L/+kHUcIoU+ZmbD1ysAluPMoGVYuY7y1VSpgQk+bti5KhqpyZLZHk8IwfMi0KJ95TzKN2qZI26evY3TuxNZR2GuUi+UAeDvxDvY+1dspWqPYjt1MEzse+DsPtnaBSxOxvO3uH8jDdODPaGupcY6jlj0tjVEW91WCJoTwToKkXLv33zAeq9A2E4bjDadW7KOIxY9rLth5BwbmSm1/pkLh69g5Jxh6GHdjXUUsWjTuSVspw3Geq9AvHudyToOkXKBs8OhodcavW0NWUcRixYdmmNakCfuX09DxvO3rOOI3Nn9F9DHoQdsp1iyjiIWSspK8Fw3CnvXxeDvxDus40iESr9QBoBXT958aY+iptmEdRyRkZOTwxjvkbh07DrmDP4DVp7m+EW/LetYIuU01xaPUp5grtWfMLTqgq7mst0eZeikQficm4u9f1XuUhkinLy8PGyeEYLOfbVhYNmFdRyRsvI0R1UFecwZ7I0mbRrBdGQv1pFEytSpN5q0aYS5Vt6oqiAPK09z1pFEysCyCzr31cbmGSHUHo8IZu+6WHz+/BlDJw1iHUWkuprrwMBSD/OG/IlHt59g5JxhrCOJlJaBBizHmWHOYG9cir+B0X84yvRRPjXNJnCeZwv/KcF49eQN6zgSQ3b/Hy+jwvYovW0NZLI9inLdmhjv44bIlfu/lMoE/B6GdvptZfJSM3kFeYxf7YpjYae/XGIVtmwP6jSqgwHufRinE41Ryxxx40wKTu85zzoKkUGRK/aheq3qsBjXj3UUkXBdZI/US/dwPCIBABCzKQ7vM7JgN92KcTLRsJtuhfdvMhGzKQ4AcDwiAamX7sF1kT3jZKJhMa4fqteqjsgV+1hHITLo9O5E3Dx7G6OWObKOIhIDRvdFHVUVhC3bAyD/UrP48DMYv9oV8gryjNMJz2hYd2h0aY3A2fmXWKUm/4Odq6Jl9iifrllHGNkaYMOUYGqP9w1aKH8jZPEuqLZsiH4uxqyjCKZFh+ZwmGUN/8lB35XK7FkbA3AchkwcwCid8Oo3qwePFc4ImhOOx3eefvW1w0HxSE97CcfZNozSCU9JWQmea92xd20MUpJSWcchMuzY9lN4eOsRXBbITq9JRaVq8FzrjpiNcbiRkPLV1xKjLyLp4GWMXe4kMz9JkJOTg8dyJyQdvIzE6Itffe1GQgpiNsbJXHsU5/nD8fDWIxzbTu3xiOj8nXgHe9fFwHPdKCgpK7GOIxjH2TZIv/8ch4OPf/X64ztPETQnHB4rnGXqUrPCS36/vcQq4/lbbJgcBMfZNmjRoTmLaCLR380Eqs0bIJTa4xVLNv7mF1js5qPIeP4WDjOtWUepMP2Buug+SBf+07YhN/dzse85GXkWt5Puwn2Jg5jTCa+wVMZ34o/7vSUfuYqTkWdlYidU7ZemcJo3LL9U5imVyhDRu3riJg4HHccEHzcoKCqwjlMhjVsXtMebHoLnaS+Lfc8/Vx8g4o+9mOAj/Zea1a6vjPE+bghbtgf/XH1Q7Huep73Mb4+y1AGNW6mKOaGwFBQV4OnjhiPBJ3D1xE3WcUgl8OrJG/hPCYbz/OFSf5SvsDLvxI6zSI67Vux7PmZmw3diwaVmBtJ/qdmoZY64lXgHJ3eeK/brubmf4T91Kwws9WTiKN+IWdZ4/fQNYrdQe7wfoYXyD5yPvYSz+y/AY4Wz1PaaHDC6L2o3UEa4996fvvfm2dvY53dYqi81621r+FWpTEnSUp4geN4OeKx0Qb0mdcSQTni6Zh3Ry0Yf/lO2Ivff4jdBCBGFp/fSETBrO8Z4j0TD5vVZxymXTsbtYTqydO3x3r56j/VegbCbYYVWHdXFlFBYbXRaYPh0K/iV4hKrnOwcrJ8UBFOn3uhk3F5MCYWlqt4AY7xHYsus7Xh6j9rjEfH56iifWUfWccqlXpM68FjpguC5EXh0+8lP3x84OxwaXVpL7VG+6rWql+kSqy9H+Ub3FUM64cnLV8G4lS44E3UBSQcvs44j0WihXIL7N9IQungXxq12gUrD2qzjlMnIOcOQfu/7UpmSvHz0Cv5Tt8J1kT2atm0sunAiYD1xIPLy8srU7y3rXRZ8/7cFVp7m0OzaRoTphNff1RgNm9XD9iW7WUchlVR21if4egVg4BhTaPeUrl6TpiN7oZlG4zK1x8vLy8PGadvQpb8O9C30RJhOeAaWXaBr1gmbpm8r0yVW2xbsgNovTaXuUjPtnu0wYFQf+HoFIDuL2uMR74H1kQAAIABJREFUNkIW74Jq8wbo72bCOkqZ/KLfFlb/NyC/Pd77j6X+XOH3X4Wly9JCTbMJXBfalfkSq8NB8Ui//1zqjvKpNKyNcatdEbJoJx7cTGMdR+LRQvknMjM+YL1XEIZNsUQb3Vas4/yUvII8xq1yRXz4GSQfLb5UpiS5ObnwmxwEEztDqbnUbNTSEbh57g5O7Sq+VOZnAn4PQ3tDTfQcqi9wMtFwmDUUr59m4GBgPOsohCBoTjhadlKHsX0P1lFKZfg0K2RmZOHAxrhyfX7H8ijUUlGChYeZwMlEw8LDDDVqV8eO5VHl+nz0hsP48PYjbKcOFjiZaBjb90DLTuoImkvt8Qh7sVuO4vXTN3CYJR1H+XrZdEe77m0R8Nv2cn3+5M5zuJV4R2ouNdM17Yjeww3hNzmoXJdYJcddk6qjfBp6rTDsVwus9wpEZsYH1nGkAi2US6GwPYqOsRYMB0tue5T/SmW+v8SqrEIW70Kjlg1h6tRboHTC+9Lv7a9YpJyvWL+33T4HUKVKFYluj1JYKpMQlYSkQ1QqQyTHPt+DyMn+FzaTLVhH+SE5OTmMXe6E5CNXcO6bS6zKKi7kFB7dfgqnecMFSicazvOH49Htp4gLqdglVmf3X8CluKsY4z1Soi81s5lsgZzsf7HP9yDrKIR8kXTwMhKiLmDcSheJPso3ZOIAyMnJYY9PTIXGKXqpmSQf5evnYgzVFg0QsmhnhcZJS3mC4LkREn+Uz9CqKzr21sLmmaHUHq8MJPdvPAm0c1U0FGsoSmR7FC0DDVh5msP3f1t+eIlVWcVsPor3r97DfsYQQcYTkppmEzjPHy5ov7cTkQm4k/wP3BZLXnuUOqoq8KBSGSLBEvaex/VTtzD6D0dwHMc6zleU69bEBB83RHhHIfXyfUHGvBx/HXEhJzBhjavEXWqmoKiACWtccWTriS/t8Soq9fJ97Fi+DxN83KBct6YgYwqF4ziM8R6JaydvImEvtccjkufBzTSELNqJ8WtcJfIon/sSB9xOuosTkQmCjFd4qZnrInuJvNTMYZY13qRnIHazMJdYZb3/+OUo3y/6bQUZU0iDJ/RHNaVq2LkqmnUUqUML5TI6FnYaD26mSVR7FCNbA2h2bYOA38MEHzsxJhnnDiRj7HJnVKkiGf+56PbVzu/39mv5SmVKcvPsbezfcASePpJzqZmGXivYTBqE9RMDqFSGSLSUC3exa3U0PNe6o0ZtyWiP0qqjOuxmWmO9VyDevnwn6NhP76Yj4LcwjPlzJBqqScalZg3V6mOM90gE/BaGp/8Ie4nV25fv8i81m2ktMZea1VSpgQlr3bFz1X7cvvgP6ziE/FBmxgf4TgzEsF8toKEnGUf5qtdUhKePO/b5HcbNs7cFHbvwKF/v4ZJzlE9evgo8Vjjj7P6LIrnEKuD3MLTTb4teNpJzqZnrQjvcu/oQ8WGnWUeRSpKx8pEy107ewqHAeHhKQHuUIRMHADyf3w9ZRO5ff4jwZbsxbg379ij5pTINRdrv7eWjV/Cfln+pWePWbNuj9BjSDdpGWtg8KxQ8zzPNQkhpvEnP7zU5cs4wqGs1Y5pF30IPXQfolPkSq7LIzvoE34kBGDjWFO0NNUUyR2m1N9TEwLGmIr3EKi8vD5umb0PXATrQH6grkjlKS12rGRzn2MB/chDepL9lmoWQ0sjLy8PmmaHoZNwehlZdmWZp2rYxXBfZw3/aVrx89Epk84Qs2gnVlg3Rz8VYZHOURuElVqGLd+H+9Ycim2fP2hjIycnlf3/OkKJSNXj6uCN2yzFcO32LaRZpRgvlcnp2/zk2z9yOMd6OUFVvwCSD+xIHpJxP/WG/NyG9e50JP69A2E4bjDY6LUQ+X3EcZhaUyoih31vhTmhfRyPomHQQ+XzFGTyhP6oqVsWu1VQqQ6RLYa9JQ6tu6NKfTa/JgWNMUatODUR4l+8Sq7IKmhOOtrqt0Hu4oVjm+9YgDzO06dwSQXN+3h5PCBHeUahVryZsp1qKZb5vdemvA0Orbvnt8XKpPR6RLpEr96OaUjUMntCfyfw6Jh1gYt+j3JdYlVXs5qPIeP4W9jPZHOXTM+sI2ymWYrvE6kRkAm4n3cWENW4in6s4quoN4L7UAZtmhCD9wQsmGWQFLZQr4NPHT/D1CoS5ex+xtkepXlMRnutGIWr9Idw6V7FLrMqi8FKzzqYdYWApvkvN/iuVEX+/t5CFkWjatpHYLzVzXWSPe1cf4nj4GbHOS4iQwpbtRv0mdTDAvY9Y53WaZ4snqc8Qt+2kWOfd+1csPud+xtBJg8Q6r81kCzRuqSr24yJKtaqjdv3acJprK9Z5B7j3Qb0mdRC2jNrjEekVH3Ya9649hOtC8R7lM3XqjSZtGlX4EquyOh97Ceeik+Gxwlmsl5oZWnWFrllHVK0mL9abqZWUlZCbmwvPteI9yqdt1A793UywflIQcrJzxDavrKKFsgCC50WgZcfmMHHoKfK5vpTKTAnGq8evRT5fcSJX7EP1WtXFcqnZV6UyN9hcYnVgYxzev8mE3XQrkc9VWCoTs+kolcoQmXAwMB7PH73CiN//n70zj6s5e+P4u1uSpJKUkJIWLZKSqFApKpFKe9qtjWXs2fcsM4ixzM++L5FddrJn39fs+76lsuX3x53izg3FvVFz36/X/DH3fM/3nFsc5znn83we6deaLFW6FJ0mRrJ90R6JmVgVlr3JaZzdd7HIyqPEjg7lzN4LzOy7kLSNx2g/rk2ROFNHDg/i2umbzOy7kB1L9hZZeZTQAX48vP2EzbLyeDJKAKf3nCdl1g7iEqNRUi4t9fGC+rTi1dNXbJzxfeXxfpTrZ26yaMRK2k+IRK2i9E3NvDo0RamsEjN6L2TOgKW0HRuGZtUKUh/XPcoZzcrl+V/PBfzdU5jKV8VIR+rjuoQ0RN9cl/lDlkt9rP8KskBZQqydupk3mW9o3V165VGsm9TCOfD7671Jkh2L93Drwh3Ch0ivPIqhtQGtf/816r2lrRcaP7ST4iZUp7p2nlTm4U2ZVEZGyeHolpPsXXlAquVRNKtWoN3YNswZsJS76felMkZBuXg4ndWThOVRlFWlY2qWWx4veeIGLh5OB+Da6ZssSVhFp0Tp+Unk5b3N3M7pPcLDvDuX7zF34FLajwuX2iZUQUGeDuMj2LPyIEe3nJTKGDJk/Awe3HjEjD4LiR4VLLVUvtzyeGkbj5O24ZhUxigoGc9fC1P5erbA0Fp6pmYRQwO5ce4WOxYLy+NlZWQzpctsWnRoKlU/iZB+vjy++4xN/xzm5abyOQc5SDWVz79nC7JfZ7Nu2hapjfFfRE5SBkFycnJVgVsAjniiJPdrOJ4WNUY2BjT2b8Dsfkskah7jFu5EKUV5NkrIyl5S6FTXxrebJzP6LJKoxMPe25bKNbR/OSt7VQ0VwocGsmBokkQddGs1MsXK2YIFQ5Mk9s7iSPbHTPYiNKa7fv36fT09PekfwRYBsvVRiLKqMlEjglgyKpmn959L7L1m9sbYeVozZ0DR5OcWFAVFBWITQtkwYxu3LtyR2HurmVbBI7YJs/osyjc/VyAQEDM6lJ2L90isHBYI895ad/f66nofNTKYtPVHJeqgq1FJneD+fszpv4TMl5kSe29xQ7Y+lnzChwRwfMdpTu+WnKJMTVOVNoP9mT94GS+fZkjsvZLAv2cL7ly6x/61RyT2TkUlRWLHhLJq4kbuXcvf+b9VZw+e3X8hsXJYIDzMix0bRsrM7dw4dzvfZzzbuvI2+x3bFqRKbFyBQEBMQgg7l+0n/dh/1/lfWuuj7EZZwlw+epUV49fTKTEKFfWyEnlnUJ9WvHj04pcLkgHuXXvArPjFtB0TJrGTUK8OTVH6Reu9vXyawdSucwjo7S0xUzOXkIbomen+54NkGSWfzJeZTOkyG58unpjYGkrknY397TG2qfHLBckgvEmY3mMeDf3ssHazlMg7bZrWxtHH7qsmVrnO1JL0k8jNe5vSdc5XD0Xn9F+Ccd0aNPJvIJFxTWwN8eniyZTOs/7TQbKM/wbzhyxHz0xXYql8hlb6BPRqydSuc365IBkg6Y91KKlILpVPW6+isDxe/OIvBskAqyen8OGD5PwkNCqp035CJAuGJn0xSAbYOGMbr56+IrCPZFL5VNTL0jExiqQ/1/2ng2RpIguUpcDzh8LyKKED/NAz0/3u9+SaWB3ccIxDKcclOEPJkp35hildZ+MR2+SHTc0ihgZy4+wtdvzC9d5yN6E2TWtT3+vHNqH+PVuSnZHF+ukyqYyM/w6z+i3GwrEmDj52P/Qen66efPjwgdWTUyQ0M+mweGQy2rqaNIty/qH3NItypmIVDRaPKpiJVdIfa1FW/fFNqEuwY6Hy3lZPToGPH/Hp4vlD4zr62mHhWJNZ/Rb/0HtkyChOrJ++hTevs/Hv8WOO8g1a1KWOqyUz+iyUWnk8SbBj8R5unLtFxNAfMzWr5WiKR4xLgcvj7U1O49yBSz/sJ2Fia4hv1+ZM7TKb1y++fZiXtuEYh1NO0G5c+A+l8ulbVCO0vy9//z6X5w9l5fGkhSxQlhJ55VFa1sXWvfDlUdQ0VWk/IZLFI6Vb702SzB24lOq19XAKcih039JlFIlLjGLznJ15eW+/OsvGrkFFvQxe7d0K3VcgEBA7Jozj209LVHIkQ0ZxYeWE9SiUksc7zv27+kePCuH8wcvsTU6T8MykQ8rsHTy9+4zgeN/v6h/Sz5enn+W9FZTti37MT8K/Z8vvynvbveIg59MuEzMq5LvG9Y5zR15BXlYeT8Z/kv1rj3B851najgn7rmDKq70byqplSPpjrRRmJ3lO7z7Plrm76JQYhaKSYqH7Owc7Ur12NeYOWlaofhfSLrN68kZ++04/CQefelg41mRm/CIKk8p69dQNliYk0/E7/STqedShgZcNf/daICuPJ2VkgbKUWTJ6FRqV1PGIaVLgPobWBvj3asm0rnN49eznmlgVlrVTNvE2+12hTM209SoSOzqUmX0Xc//6QynOTvJsW7iH25fuFWoTqqqhQqfEKJL+WEf68WtSnJ0MGb82qcv3c+XEdaJGBBW4T66J1Zq/UriQVnTl8STB4c0n2L/mcKFMzRQU5OnwZwR7Vx/i8ObvK493ctdZts5LJa4Qm9C8w7wdZ777MO9C2mVW/5VS6E1o1Igg0o9fI3W55PIHZcgobqQfu0rSn+uIm1S4VL7wIQHcuniX7Yv2SHF2kufetQfM/o5UPv8eLXib9Za1UzZ/17hP7j5jeo95hA/xR9ekcoH7ece5U0pR4bsP814+zWDad6TyecQ2QV1LjSWjV33XuDIKhyxQLgI2z93Fg5uPCB3w7fIoDVrWpY6LBTN/canM19i/+hCnUs/RdkwYcnJyX33287y3N1nflsr8ipzYeYatC1LpNDHym5tQfYtqBMX7MK3bXF48kkllZMg4s+8CG/7eRtykb5dH0TWpTPiQAGF5vLvPimiGkuXGuVssHL6CDhMiKa+t/tVn8/Lehq3g5lfy3gpCnp/E2DC0qml+9VkV9bJ0SoxihQTy3nI3oRFDA765CVVSLk3cpGg2/L2Ns/sv/tC4MmSUBJ4/fMG0bnMJHeiHvkW1rz6rqKRIXGI0W+encnLX2SKaoWTJS+WLcflmKl/uYd7JXWfZt/rQD437/u17pnefRyP/BgXyk4gaEcTVkzfYtezHDvNyU/ms3WoXyE8ibGBrHlx/xJZ5u35oXBkFR+Z6XYTomlSmefumzOy7MN/yTl4dmpL5MivPyr64U15bjZABrZk3cGm+5Z2cgx1RUVcuMVb2SsqliUkIJemPtTy89VisvZ5HHapbVmPZmDU/YXbFA5mr638XRSVFYkeHsGpyCveuiJuwWLtZYmZnxMIRK3/C7CSPQCAgelQwu5MOcOmoeDBqbGNAo9YNmNVvcaEkfQUhcngQRzefzLdWu75FNZpFOX3RUftHCBvgx7mDlzm27ZRYm04NbXw6ezCz72KJVlAoScjWx/82wX19SD9xjcObxJUlWrqa+Pdsyaz4RQXKzy0OtOzUjFfPXrMzH88aFfWyRA4PYuHwFRLPz/WIcSEn52O+tdqVlEsTMzqUpHH57/N+hCahDSmjosT6v7eKtSkoKtB2TBjrpm3h9qW7Eh23pCBzvS4B3Lp4l3mDl9H+j3A0dERvEsKHBIjUeysJPHvwgr9/F56E6plVFWlr3d2LNyWs3lvuSahnO1exGn0esU1Q01SVBckyZHyBt9lvmdptLq5hjajtZC7S1jTSGe1qFUtMkAzCm4SZfRdRq5EZDq3qibQ5+NSjViOzQue9FZS5A5dikI+fhK27FQ1a2HzVUftHWDhiJdr6FWka4STyeW0nc1xDGzG121xZkCxDxhdYMnoV6lrqeMSKpvJZONTEs22TAptYFRfWTt3Mm8w3Yql8ema6hA70Y7qUTKxSZu3g6T1xPwkdA22iRwUzo/dCiQfJ8I+fxMW7Yql8FSqXp/2fEcwduFQWJP8EZIFyEZP1KospXWbj/ZsHNesZoqikSKeJkWydlyrRunm/Cu/ff+DvHvOx965H3WZWn6QyqedKrInV3IFLMaxTHadAe0Aolbl/9QFbJVg3T4aMksqCoUnomlTGNawhACHxPjy7/4yUWb9eeTxJsHLCehTLKNIyrhnwT95b6VJSN7FaM2UT7968w+934SbUI7YJGpXUWZIg3by3lJnbefbgOcHxPgC4hjVE16QyC4bJyuPJkPEtts7fxYPrjwgb2BoApyAHaljpF9rEqriwf83hvFQ+gUCArbsV9t51pXaYl8vhTaJ+ErWdzHFtI/3DvJO7zrJ1/ic/CdP6xnjHuTOl8yyyMrKlNq6MLyOTXv9EIocFYtrAmMHeY0vUKeCX8P7Nncb+DRjmP/4/YWXfKMAe384ejIueyp3L9372dIoFMmmhjFzqe9ngHu3CnAFLuXHu1s+ejtSp5WhK7NhQZvZelK8kWloY2xgQNzmaeYOXc2yruCRaWuib69Ltf+1ZPnYN+9ccLrJxizOy9VFGLlWNK9NzdieSEzewO+nAz56O1FHXUmNgUnd2Jx1gzV+bimxcFfWyDEnuxeFNJ1g2dnWRjaukXJqha3pzbv8l5g0umYcgkkYmvS5h1HI0RU5OjpSZ23GPcfnZ05E6+hbV0DGoxLJxa/Bs5/qzpyN1NKtWoFZDU+YOWopHdMn//cqQIWkOrj/KwmFJNIty/qFak8UBJeXSNAq0Z0avhTQKtP+mqZmkUFBUwLVNI2b0WoiDt22hnHV/BIFAQLMoZ2b3W4yNmyXqWmpFMq4MGSUF92hn5gxcSq1GZlSoXP5nT0fqeLV3Y9no1ehU10bPTLfIxm3ezpVViespp1EWYxuDIhvXI7YJG/+3HTmB3DdNzWRIF4WfPYH/Is7BjpTTKMucgUsBMLc3IXpkMLP7L/nJM5MOtu5WGNkYML3HPADuXX1Ih/GRzOxdMuu/mTUwpr6XDVM6zwLg5oU7/DY5htn9l5D58tvF6GXIkCEk/cR1Ht1+SqfEKOYPXsbLpxk/e0oSR6e6Nj5dPZjRawFvs99y6ehV2o4JI3niBu5dEzc1kxQVKpcnKN6XOf+sSxfSLhM7JoyNM7dx8/wdqY2rqqFCxLBA5g9J4sXjl5zZc4HoUcHsWn7ghx22Zcgo6SirKhM1MpglI1fy9P5zTu48Q/TIYPavPVLsyuUVhFwTq/XTt3Dr4l0OpRwnJN4HrWoV8jU1kxS5aYI7Fu0m/cR19q05gn+PFmhWrSB1BUzMqBAOrDvCuQOXSE3aj3ecOxWqlP9hh20Z30fJPqb/BWndXbze29n9F1k7bQtxk2Moo6L0E2cneTxim6ChU57Foz7lvd08f4f5Q5NoPyESjUpfL49S3Gjsb4+JraHIocfTe8+Z3l1Yo6+aaZWfODsZMoofLx6/ZGrXOQT29cHAUu9nT0ei1HYyxzVcNO/tbfZbpnSdjVtEYzFTM0lR086IVr95MKXzrLzDu/fvPzC9xzwcfe2o28xKKuMaWOoR2NeHKV3m8OLxS+CTqVkdZ3PsvW2lMq4MGSWBaqZVCB/sz9+/z+Xp/ed5n8/uvwRTOyMata7/E2cneXJNrOYNXs6ti59MrBYnrEJDp7yYqZmkUNVQIW5SFMvGrCb9xPW8z5P+XEdp5dK07NRMKuOWUVEibnIMa6Zu5tyBS3mfr5myiXdv3+f5ScgoWmSBchEhEAhoOyaMU6n513t7fPsJM3otIGpEEFWMSkTakbDe283HbJ67S6wt82UmU7rMxqdrc0xsDYt+clLAp4snAKsmbRRre/9OWKPP0bc+Nk1rF/XUZMgo1uTWmrT1sMLOy+ZnT0ciuIY1RLdmFRYMzd/Eav6Q5ejWrIJLSEOJjtvQrz5m9Y2Z1W9xvu2LRyZTsYqGxFNG7LxssHW3YkbvBeTk5Ii1J/25DqWySlLbhMqQUZyp28yKhn71md5jXr5KvFWTNiInJ8jbhxR3atYzpFVnT5HDvM/ZPGcnD248InSAn0THNbDUIyjeV+Qw73N2LtnLtTM3iRweJNFxqxjpEDUiiL97zOPx7Sdi7ftWHeLM3gvEjg6V6Lgyvo0sUC4CVNTL0jExihXj1+dbLzOX3PIoLiGOWDlbFOEMJYuCogIdJ0SSmrT/m+Yws/otxqJhTRx97YpodtIhJiGUi4fTSU36ujRm8ciVaFWtQLMo5yKamQwZJYdlY9ZQrnxZvNq7/eyp/BABvbx5/SKL9dO/Xh5v/fQtZGdk4d+zpUTGbdXFAzmBHMmJG776XMrsHTy685SQ/r5ffa6gNG/nSrnyZVk29uvl8XYs3iPchA4LlMi4MmSUBDyiXahYRYNF3yiPl5q0n4uH04kZFVJEM5MODf3sMHeoyaz4RV997tjWU+xZeZCOEyJRKPXjmaR2za2p51GH//Wan+9hXi6nd58nZeZ24hKjJeInYd2kFs5BDkztNpf3b99/8bmLh9NJnriB3ybHoKwqM7wrKmSBspTRM9MlbKAff/8+l2cPnn+7A8LyKFWNdXBt01jKs5M8WnqadPgzgnlDkrh1sWBOzysnbEBBUUF4EionJ+UZSpY8qcyUTSJSma+RMnsHT+4+I+Sf8igyZMgoONsW7ObO5Xu0Gez/s6dSaAQCAW3HtuHYtlMcWFew8nj71x7h+I4zeeVRvgc5OTmiR4Vw6fCVAjvkHtl8gr3JaXQYH0npMorfNS5A+JAA7ly+z7YFuwv0/Ond59k8ZxdxidEol5NtBmX8twkd4MejO09Jmb2jQM+fO3CJNVM3F9tUPp8unsjLyxe4PN7N83eYN3g57cdHoFm1wneP69XejXIa5Vg6pmDO1g9uPGJGn4VEJ4T8kAq0aaQTlQy0WTh8RYGef3r/OdN/n0v4YH/0Lap997gyCo4sUJYitu5WOLSyZfp31Htb//dWXj3LIKhPKynNTvLUrG9EzKgwXj57XWjTqrvp96lZ31goZykmwXIVIx0ih39ZKvM1jmw+wb41R/Jq9MmQIaPgHN9xhu2L9tBpYiSlSpf62dMpELl5b8vHriH9+LVC9U0/dpWkP9fRKTEKVQ2VQvUto6JEl6mxaFbR4M7l+4Xq+/DmY5RUlOgyrR0aOoVz1lVUUiRucjRVjCpxO71w5fEe3XmCnECOzlNj0NarWKi+MmSUBBQU5OkwPoI9Kw9yZHPhTKse337C3z3mFbtUvqiRwdS0M+J2euHWqcyXmbx+lkHbMaHflcrXZpA/tRqZce9K4cZ9m/2W5w9eED7En1qNCu9MHdSnFTaulty7UjjTxvfvP/Dk3jOC432k5ich4xOyQFlKeES7/GNilfzd70hbf5TDm07Q/s/wX748SkO/+pg1MCGhzWS2zkslbqKwWHpBsPe2pbaTBQlhk9k4Yztxk6JRKls05VG+F+smtXAOtGfa71+XynyNG+dusXD4CjpOLHmmZjJkSJu76feZM2Ap7ca1oaKu5s+ezlcxsNQjON6HqV3n5pv3VhCeP3zB9N/nEtzPt8A3CbmHeVO6zeWP6GkE9GqJoZV+gfpWqq5N9KhQpnabx7joafh2bY5JPaMC9dXS1aTtuDBm91tCQthkWnRoipm9SYH6alRSp/0f4czuv4QxbSbjEeNCrYay8igy/jtoVFKnw4RIFgxN+m4H+vdv3zO121ycgx2xblJLwjOULGVUlIibFM366VtJCE0slLGfopIinSZGkjJrBwmhk7BwLHgqX26a4I4le0kITcTI2gCnAPuC9VWQp8OfEexdlUZC6CT0zHQL7CchLy+g/R/hpG08RkLYJHRqaBdYQZrrd3R8xxkSQhPRrFxeVoJUysh9/PhRMi+SFYzPI3SAH+fTLn8zP7egqFUoR/jQgLxyGr8arbp48OzBS1KTDuZ9pqSsSMyoEFZM2MCD618+LWvZyZ1XzzLYufRTbq+ikiKxCcGsmryRe4U8WSwKmkY4oVBKno0zt0vkfQKBgOhRwexOOvDVHPb/AtIqGP+zka2P0iVqRDBpG49ybn/B0h+KEjtPa/Rr6bJszNfzcwtDcLwPV0/eIG3jsS8+Y92kFmYONcUkff49WnD70l0OrDsKX/j3v1ZjM+q4WDL/X0Zjfr8358GNR+xdefCLfc0dalLPsw5zBiwV+bxVZ3ee3nvB7hUHvtjXxNYQh1a2YqUSW3RsyuvnmexYsveL3/e/gGx9LPmY2BrS0M+OmX2/np9bGDzbuvLuzTu2zk+V2DslhU4NbXw6ezCjzyLevXmX97lLSEOUVct81cdBW68irbu3YFb8IrIz3+R97hRgj7q2Gqsnp3yxr2bVCgT1acWs+EVkZWTnfe7oa4dWNU2SJ37Zx0GjkjrB/f3ySuvlYu9tSxUjHZL+WPvFvmqaqoQP8WfeINFyh8J/J6qx7CvSb1UNFdoMDWTRsCSeP/oUC9RtZoVx3RosHvn1HPaSjrTWx1+cxEDBAAAgAElEQVT7mrKYoVBKeDq1Z+VBiQXJAC+evGJKlzkE9vEu8G1AUdFhQiSm9U3YvTJN5PPszLekrjhAt+ltqdXYLN++bce0wbKxGbuWi+bMvc1+y46l++g6pS21nX+tk9DgeB9ePHopsSAZPpVHsWxsjoNPPYm9V4aM/wpzBizB2LoGjf0LdhtQVHi2dUVVU1WiQTLAkoRVqFVU/WJ5FNc2jfHv5c3GGdvE2jbM2E6Ljs3w6tA03zQXl9CGhPbzyzcnMmXWDjxjm9Cqs0e+fRsH2NNmkD8ps3eBnOj2YtOsHTSLdManm1e+fR197TB3MBELkgHWTdtCduYbWneXlUeRUXJx9LXDwrGmRINkgI0ztvHy8atfLpXPytmCLlNi2b5or0iQDEJjv9rOZsSODsu3b62GpnT7uz27lu0TCZIBdi3fj6mdER3GR+Tb16yBMT1mdCA1ab9IkAywNzmNGlbV+W1yTL59TWwN6Tk7jgOrD4mlGO5fc5iqxjp0m94uXxWooZU+fRZ05uD6oyJBMkDaxmNoVdOkx8yO+fbVt6hGULwvf/8+VyRIhlw/iYN0GC9L5ZMGskBZQmhUUqf9eGG9t++VynyNnJwc/tdrATZNa9OgRV2Jv7+wlClXhrjJ0aycuJFZ/ZfQaUIEZVQ+yaWdguwxtDKgX8uxVLfUxzmkYd7GSamsEnETo1j3v21M772IuElRlFUvm9fX0bce5g2MiW+egG7Nyri2cfrpecsKCvK0/yOcA+uOfvUW50dYMX4dikqKeMe5S+X9MmSUZFb/lUJOTg6+3Zr/7KkAwry3e1fus3X+Lqm8f8u8XTy49pCwga1FPg/q04pXT18R7zESny6eIjl7uXVYB3mP5daFu4QPCRSurf/859+rFW+y3hLvNQavDk0xszfO61vVpDIRQwMZ7D+BK6dvETUiGATyeX19f29BzkeI9xqDe5QTtRrVzFvztfUqEjMqlKH+4zl/8BLRI0M+jQt4x7kjLy//1Vuc/WsOczL13A+ZmsmQ8aviHeeOgqJCgU2sCkvaxmOkbTxG+z/CkZf/+X9/XNs0popRJeLdR2LuYCIil1ZWVSZucgzTf5/Hhr+30mlipEgqn3OwI9VrVSPefQRGNgYiB6RKyqWJS4xmVvxiVk7YQNykaMp8lsrX2N8eE1tD4j1Gomemi3OwY16bopIinRKjWDg0iSUJycT9y13awaceFo416ec5kkoGonLpXBn38nFrmTtomZifRIMWdanjakk/j5FoVtYQqXwizEePZM2UTczovYCOiVGoaarmtdt5WlO/uTX/6/Vlv6Ob5++wYGgSHSbIUvkkjUx6LQFMbA1x9LX7ppW9pHBt0wilskrfLC0iLaqYVMW7U1NmxC/Oy89VVFIkdlQQyZNSsG9Zlwe3nrBv7dG8Pg4tbdCprs2e5DT8unkys/8y3ma/BYQLTOzIIDZM34K1W22ePXzO7s9k3HbNrdEzrcKysWshp3CmaJJATVOVNoP9mTdoKa+evZb6eLUcTanbrDZzBi799sMlDJm0UMaPYlLPCEefekW2Hv8bBUUF2o4JY+3Uzdy5XDgTq++hqnFlWnRsypz+S4gYHsiWealcO30zr93v9+bcv/aQrNdvqFnPiMWjVuW16VTXwqeLB3MGLiNsoB+7kg6Sfvx6Xrt3XFOe3nvGq6cZWDjWZOGoT7LAiroVCPi9ObP7LyUkvhV71x7h4qEree0tOriR8fQVj+48pY6LBfOHfJJxV6hcnqA+rZgzcBmBvbw4tOEYZ/dfLND3VddSo82g1swZsJSM59Jfj38lZOtjySRqRBBHNp3k9N7zUh9LVUOFiGGBPzWVL7C3N9fP3SZt/ac9olOAPWoVVTm27RTN27sxs++ivP2lknJpYhJCWTF+HY1a1+dO+n32rzmc19fR1w4tXU0OrD+CT2cPZvZdnLe/LFW6FG3HhLH6rxTqe9nw6PYT9qz4tL+097alimEldq84iF93L2bHL867oVZQVCA2IZSNM7ZSp4klLx6/ZNeyT2mCds2t0TfXZfvivQT29mZ2v8V5N9QKCvJEJ4SyZd4uLBxMyMrIZvuiPXl96zazwtjGgE2zdxDc3495Az+tZwKBgJiEEHYu2YtR3Rp8ePeBLfN2FfjnG5sQyp7kNC4eTi9wn5KAtNZHWaD8gzj62qGtV1Fqp4BfwsrZAsvGZswfsrxox21iSdgAP3o1HQkfxevMTdo/gu2L9rJm+laxthbtm9As3IkujYeS817cACsxdTB7kg+xYsJGsXc3i3LGzrMOIwIn8uHtW8l9oW9gaG2AU6A9s+MXf7WunqT5Uu5NSUe2EZQhCSpULk9wvC+z/5VDJm00q1ag36KujI2YzP3rj4ps3Er6FRmxPp4RQRO5fvaWWHuP2Z0oq6bMsNbjxdoq6mqQsLE/42L/5tKRK2LtXafGUEFHnUF+4n3La6sxJiWexM5zOLvvIuSI7ifiJkagU12LAS3H8PFfbeXKl2X8riH81XUuJ3ee/mLecn4ol1NmxIa+TOo4I9/vW1KRrY8lCyXl0sSMCSNp7Boe3npcZOMKBAJiRoeyc/Ee0k9cL9JxByZ15+C6o2yeu1OsvXX3FjTyq08Xh/759p18cCQbZ+1gw9/i+8tWnT1oEtqQzvX75Tv25IOj2LF4L6smbRRra97WDc+2LnSu3z/ffV7ivhHCvemf4rnHbhGN8ensSWe7eD58EO87cc8wDqWcyNfY1ynQnsA+rehSvz/v3r4Ta/9z11BO7jr7Xfv8hJR+bJixnb3Jad9+uIQgy1H+BcmVixV1kAxwYucZti5IJS6x4O7SP4prhBNValZmTMx0fpsUSZnPalwqlxeWPhkSNIkcwDXEEbnP5NIuwQ7IySswKDCRTn+2oVyFcp/6livDbxMiGBE+lczXb2ga2Rjk5fNke40D7FFSUSLxt9l0SoxETatoZCUNWtSljosFM/ssLNIgGT6r0TcqGJ3q2kU6tgwZxZ0nd58xvcc8wocEoGtSuUjGNGtgTMuOTenlMoSWce5F5idhaKVPi07utLfqhUuII2YNPsmlkRMQ0t+P3SsOsipxI1HDA5ETfFqXq1tWw+/3FnSy64d9S2ssPneXFsgR1KclaZtOsWT8RmJGBIms6bomlQns2ZK4RsOwca1NbScL+Ozdrbs35/jOsywYmUzs6FDkS5XKG1unhjbhQ/z5rcEAajnWxNqtdoHTa7T1KhI1Moh+7iNp0NIWW3dZeRQZxQ+dGtpEJ4Qwo9eCIg2SQZjKN6P3Aqzdii6VT01TlbhJUUxs/z+UVcuI+Uk0i3Lm9ctMRgRNIG5yDErKn+TSKupliZsURX+v0cjLC3D5TC4N4BrWkPdv3zPEdxy//UsurayqTOe/YhjiO453b97h2qaRSF/nYEfkFQX09xpN3KQoVD5LA1RSLk3c5BhGBk3k9bMMEbk0QCP/BpRVVaZv0+F0+pdcWlFJkbjEaMaET+HxnadifhIOPvWoUFmDXi5DafdnuIhcOlfGPb7tdO5cvif0kyggCgrydJwQyfQeC1BQVJCl8kkA2Y3ydxI1IohDG48XWC4mLYrqRDIo3pfrF+6QtlFYz09BUYG2o4JYN20rcgryeLVtwsxBSXlSmfqeVugaVybpz3W07ubJneuPObDhuLCvgoCYYQGkzN3J++x3eHdqxqxBSXlSmXrNLDGwqMbSsWvwiWvGo7tP2ZN8CBCeKsaODGTbwt1cOSY9h2ivDk3JfJnFjsV7vv2wlAkfEsCJnWc4lXruZ09F6shuTGRImrABfpyTYBWC/Gjsb4+GjrrIbUVgb29unr/DgXVHpDZugxZ10TWtwvJxn246fLp48uTuU/avOULsmDA2zdnJjXO3AdCqpol/9+bM6reEWo3NMbTSZ+m4dXl9W3Zw4+XTV+xecYjYhGC2LT3A1TPCG9sKOuoEdW/O7MFJmNatTk07IxaP+3RI3DzaiexXWexYso/oEYHsSU7j0lFhvejyWqqExPswd8hyDC2rUauhKQuGfXLj9oh24cP792yes/OrN8u1Gpli41abuZ+lpTSLckYgLyBFggaLvyqy9bFkUNvJnNpO5kWuCMyPgrhL/yg1auvRJKwRM/ssyrt0aNS6PhWqaLAqcSMh8T5cPn6Nw5uE+0tFJUVix4SyatJGSisp4h7twsw+C/Pycx186lHZQJukP9cR0Eu4zh5cL1xnc1Nfcr+PV4emzOizMG9v2qBFXaqZVmHZ2DW07t6Ce9cesG+VcH+poCBP7JhQNs3eyZvst/h2ac6MPgvz9qa27lYYWRuweFRy3jq7+x8Zt0AgIHZMKDsW7eHl09f492rJrD4L8xSB1q6WmDUwZuHwFXjHufPyaQY7/3Hx/7zyydP7zwns68Psz9y4azuZY+VswbzBy776c9aopE7oAD+RtJRajqbU9bBiTj4miSUNmfT6F6FMWSWiE0JIGre2yE8Bv0bk8CAOp0g+cBcIBAxb04e5w1Zy5dQNsfb4+b/BRxgdM12szdBKn25/RTG550IuHb7Kv/+s9ZrRDsVS8oyMnAb/urGtbq5Lj+kxTO21kLN7L4i9+/dpsZzZc54tc8SdWX+UiKGBHN9x+pcKTH+lwF2ayDaCMqSBR0wTPrwvXJ5XQfHp6smTO582TJ/jGtZQ6CeRj1TwR2k3rg2P7z0jeYK4AVbzdq40jXBiQMsxZDwXlZ4rKimSsLEvh7ecZtn4DWJrr1t4Y7xinBkYmMjLJ6LOrAqKCoxa2Z3T+y+xcPQasTXdxb8+3h1cGRwwkef3n4n2VRAwfG1vLqRdZu6gJLH0moa+dtT3smZsxF/5BsvOwY6UK1+WtVM3i7VZu1liVt9YrBRWSUO2PhZ/XMMaoqQi3cC0sEgzcG8a4YSFY03GtxXfI1o41KRTYiRjI6bkm0IxKKk7Wa/fMC5yilhbTVtDukxry4R207l87JpYe79FXUEORoUkirXVsNKnx8yOTOo0gwuHxPN4e8/9DSXl0gwL+FOsTc9Ml97z4pj2+1zO5LM37TajPeU11RjsM1asTdekMn0XdmFG7wWc2HlWrL3zlFi09TQZ4DVarE2nujadp8YyxGdcXuD+OcY2BjQOsGdWPmmCWrqa+Pf2FgncSyIy6fUvgE4NbaJGBjGj98JfKkgGmDtwqbBYepCDxN6ppqVO3ORoZg5chkeUE8qqZUTam0U6cWLvRU7uv4Rbm0bwmRNpuYqqNAtvyNjO83ENdqSclqqIbM811JFzR65xZPdF3CMbI1dKIa+/sroyntFO/NFxFs6BDpSvoinS1zmgAVdOXAeBHF4dmwmdVyWAUCoTxZa5u36pIBlg/fQtZL3Kwr9ny589FRkyih0ps7bz7P5zguN9JPremIRQzh+8nG+QDLBt4R5uX7pH+JAAiY4bMTSQtI3HUS2vgrm9iUibcV1DdGroMCN+KQE9W4qWaZKXx79nCxaNXUepMopYNjIVWbdr1KmOvkU1pg9MIqCbJ3Lygry1V05ODv9uniRN20qOQICVay2Rdbm6eVUM61RnSvxS/Lt7IShdWphCAyAQ4NvVk9VTtvLmzXvqNbcWmZeusQ7mDsYkT94kLHGiWEpEiu3fowVvs97mGyQDHNt6itTl++k4IRIFRYXv/rnKkCFNAnp5k/E865cKkgFO7jrL1nmpxCVGSzSVz6u9GzkfPpB+/BpOgaJSa3UtNZyDHRgT/hfNOzQVkUuDUGVycP0xzh+4hGtYQ5E2VQ0VmoQ3ZnT4ZJpFuYjIpUEYnB/feYbjO87QLNJJpE1FvSyesU0YE/4XbuGNReTSIDzIOHfgImkpx8Tk0mVUlPDq2JQx4X/RONABdS01kXbnYEeunbjBnpUH8GrvJtKmpFyalp3cGRP+Fw6+9alQubxIe6PW9bl98S7bF+0Vk0srKini09WD//VeQNuxYWhV0xRpd/CpR20nc2Z8IU3w4a3HzOi1gOiEEHRqyFL5CovsRrmA1HY2x7KhGQuGJX374Z+Io089tPW1fjhv2tC6Bi6hDZk9cDk5OTkoKAiIHh5Eytyd3Lxwl+A+3qSfvcvRHcJTMVs3C6qbVWX5+A3oW1TFLawRc0au5v37HKGspL83O5bv5+qJG7T+3ZObVx5yaOsZAKwb18Skjj5Lxq6jqoEmntHOzB62ivdv3yMQCIga2IpdK9JIP5KObxcP7l17yIF1QrdEq8am1HKsyfyhSXzMxyCsoBQX8yzDOtVxDnZkVt9FRZ43XRTIbkxkSBN9c10xGd/3oFyuDNGjQliSkMyTu8+++bxODW18ungys8+ifG8DCoqikiJtx4SRnLiBe9ceAkKvjFw3VgcfO3QMtFmZmAJABZ3yBPVuyeyBy3j3/gNtE0JYP2sXt9PvA9A8yomsjCx2LN1P/eZ1qGamS9IU4e13eS1Vgn/3YN7I1bzJyCJ6WCCblx7gxkWhk7d7qD3v375n2/zd1HW1oEZtfZZNFgayqhVUCOvZnAUJa8l49IKY4QFsX36Aq6eFt0ZNQx2R4yObZu3A2sUMUztjFiUIHbVV1JWJHOLPwpErefHgBTGjgkldvp9LR7+daqOsqkz0yCCWJKwq0O+luCFbH4snn8tyi9I8q7AoKZcmZnQoSX+s5eHNH7sMCh8SwKnUc5zYKdznObSqR6Xqwr2psY0BjfwbMLvfEuH+8jO59K2Ldwkd4Mf5z9Jl7Lxs0DOtyvJxazCw1KNJaMO8m1OhXDqMlFk7uHHuFsHxPqR/JuO2dbfCsE51liSsQs9MF48YZ6Gj9j9709jRIWxfuJsrJ2/g37Mlty/ezUuXsXazxNTOiEUjVlLVuDJeHT65cX8ul7509Cp+v3tx//rDPBn357f0OtW18ekq6sYdPTKYA+uOcv7gJTEZ9+eVT7R0NfHv2VJkbxo1PIgjm4Uu6S3jmvHq6es8GXdBfi8nd53l5C7xG+3ijkx6/RNxbdMIJeXSUpHPSQMTW0Ma+tl9d9H6Vl08KaOqzLI/xIPt0HhvjGwMmDtyDTcuiJY+0TerQuRAHy6evMnSCZvEZHkBv7lhWteABWPXc/WcaK3pqobaxAxsxZXTt1g4eq2Ye2rrzk2xqG/IghGrSP9XbrKOgTYRA335o+3/eJtR+HIhtRxNsWlqydxBX8//+FXILVc1f/AysaL1xR3ZRlCGtFFRL0vE8CAWDV/B84cvCt1f16SyWN5bQcjbhH5n2o6eWVUC+7ZiUscZZGeKBtsOrWxpFunCjmX7SU0Svd1WUFSg619RKJYtQ2LXeXl5b7nU97DCI6Ixu9cdZceKQ6J9FQR0GhNCufJlmdR7Ka+eia43dV3M8IpoyN71J9i2dL9Im0AgoGNCIOUrliOx2zxePnol0m7tbE7L9i4cWHeUTbN2ivVtPy6UiroaJHb4H88fFO731O6PcM4duMTelfnf9BdXZOtj8eNXKMdUWCKHB3F08/eVq1JUUqTHzA7MHbyMe1ceiLQZ2xjQZpA/J1PPsmK8+P4yfEgAhnWqM6P3Am5dvCvSZmilT/jQQM7tv8jSMavF+oYO8MPE1pBZ8Yu5cU5Uxq1npkvM6FAuHU5n4YiVYn2D+rTC3N6YeYOWiR1k6JpUJnZMGFdOXmf+YHFpun/Pllg2MmXB0CSxwzyd6tp0mBDB9bO38s0R9uniibWrJUsSkjl34JJIm5auJnGTorh18R4z+y4U6+sd507dZlYsH7um0L8nr/ZuqFYol68Td3FGJr3+SQT29ubVs9fFJkgGuHg4neSJG8Tc/wqCV8dmfBTIo1mlAuX+JUkpX1UT9UrlOb43nZq2NUQcTgFq2hlybH865SuVR1VLTUSWp6atTkXdChxLu4pJPUPkFBVF2s3rGXLi4FXKVVRDo6qmyLtVNMqipVuBI7suYFrfCDlFRRG5oJmdIReOXqPd2FAq6lcq1Pd1DnakumW1YhMkA7x4/JKpXecQFO9D9Vp6P3s6MmQUKzKev2Za1zm07u6FsY1Bofpau1nSOMCeab/PLVSQDJCd+YYpXWbj2c5VTC79LWo5muIc7MD9qw8xqltDtFFOgJF1DQ5tPolhbfH1wMi6Os+evObW5XvUrCv6feUUFDCyMeBw6nkMalVDUKqUiCTaoLY+Ga/fcvXyQ4xtayD32borJxBgXKc6h3dforplNUqVLfNJag3om1bhTdY7Lp+5Q80GJsjJi243jK31OLz5FPoW1SilVEpkzdetqUPOhxwupF3B3KFmgR2xQbixlZcXoFNdi4Z+9QvcT4YMSWNgqUdQvA9TuswpNkEyCFP5DGrr4fwvd+lvoaWrSduxYVw4lI755+77/2BSz5BDm06gXV1bTC5doXJ5ylUox7FtpzCtL97X2NaQw5tPUKFqBVQ1VETa1LXUUNdW5+i2k5jVNxLtKCeHWQNjjm49hZqWGupaovtaVQ0VKlSpwJGtp6iZz7im9Y05vv005TTKicmly6opo6VXkUMpx6lpZyTet4ExJ3aeRVmlDFq6onLpMipKVDbSIW3jUYxta4j1NbM35lTqORSVFMQqnygpl6aqsQ5pG4/l2/drKCopUs20Ci+evCKgl3eh+v5Xkd0ofwGBQEDbMaFsW7iHKyev/+zpfBcKpeSJHR3GxpnbuHn+zjefDx8WxOn9lzm5+7ywzt5wf7Yu2sf1MzcxrmdEo9b1mTNyLTk5Odg4m2JUW4+l4zdAzkeC+7Tgwpm7nNifjkAgILKnO7tXHyX9xHWqW+rhEmDH7D83k5OTQ+36NbCw1mfx+I3w5i2B3dy5cuEeR3YLT9Qie3qwf/1RLqalo2damabBDswZIZRx12pgiFWjmiwYkczHt+8I6ObJjYt3SUsRymwiB/txaONxzqSe+eb3bd29BXevPmD/6kPffPZXJahPK66dvknaxmM/eyoSQXZjIqMoad3di7tXHrB/zeFvPts0wgn5UvIScVdu9ZsHzx+9YNey/d981inIATVNVdZM2QSAVwe3f4z99qJUVomYhFCSJmzg0a0naFRSJ7ivN3MGJZH5MpOGre2oWK0iq/8Wztk9vCHvs9+xdcl+SquUIWaYP2vm7uHejSeoapQl7Hd3Foxdz8vHr7BvboWOkQ4r5wolfU196yL4mMPmBXtRUFQgZpAP65cd4va1R6ioKhHetRmLEzfz/PZj7FzNqWZSmRV/C2+Km/jZUqqUgJRZO5CXg5hhAWxesIcbF+6irKpE5ABfFv+xnqe3HmHrVosaVvosHSN08nYJsqesWhnWTtn0zVrL/zb1auxvT/lKaqyenPJ9v6hfDNn6WHyw87JB31yXZfncfhYXHHzqUamAqXzm9ibYetTJc6Rv0KIuVU0qk/SH8O9xxNBAjm09xem951FQkCdmdCgps3dw89xtTOoZ4eBdl9n/3Lp+LpcGaDPIn9N7znNi5xnh3jQhhO2L9nD11A0MrQ1wCrTPk3Fbu1liWs+QRSNWgpwcIf39uHD4Cse2nhLKpUcEkpp0gMvHrgpl3GGNmN1/qXBv6mRGLceaLPjH1Cy4rw/pJz7JuKNGBnNg7REupF2mmmkVPGObMLPPIt6//yCmTPy3jDtyWCCHN53g7P6LVDHSoWWnZnmqJLMGxtT3ssn7/v+Wcefewp9KPYdOdW18u3ky4580nlwZe0EUpFq6mkI37r5CGbehlT7OIQ1LTCqfTHpdhKhWKEfE0IBiJZX5GiH9fbl05CpHNp/It72smjJRI4JZNX0b9649EmkL7O6FioYyz59nkzxNdIOoa6xN8ygnBHJyrFt8gNvXROWEfjGNUa1QlpcZb1kxY5dIWxW9CrQId0DuwwdSFh/kxmVRiU6rqIaUL6/M61fZLE/cxMfPCrlr62rg19GNjx/es3leKldOirpxe3d04/XTDLbMyX9DKxAIiE4IYXcB895+ddzCnShVWoGNM7b97Kn8MLKNoIyixiXYEZUvuCnnEhzvw5UT1zmUclxi4xbETyKobytuXbzLvtWigXyDFjZYOJqiqKTIzP7LRPKeFRQExIwKIedjDhdP3GDvWtFDNNumllg61kRRuTRzx24QkXELBAKiB7QkJ+cjV87dZVeKaEktawcjrB2NKKWgwLzELWR+JuMWCARE9miG3Ee4fvYOO1aKHkDWdjDC1qkmpeQFzB+5SsyNO3KQLwKBHDfP3WLLvN0ibRaOJti5WwkliF/Ys3zpIMPM3gS75tYlojyKbH0sHjRv58qbrHdsW5D6s6fyw5jUrUHD1vW/Goi5hTemrKoyq/8SPZAytNKnaaQzcnJyrBi/jgc3RPeXwfE+lFVV5sm9ZyKl9QD0Larh2bYJckDypI1iMu6AXt6U01Dh5ZNXJP25TqRN10QH704efOQja6dt4dZF0TTB1j1aoF6xHK+eZrD8D9G+OjW08fnNnY8fctg4czvXz9wUaffp4kkFHXUyX2ax+J9APpdcr5uPOTlsmbdLTMbdMs4dLd0KZGVkCwP5z9CsWoGgPt58eJ/D9oW7xfamXu3dqFRdi7fZ78TcyTUqqRPc34+lX/HMMLc3wdbdSkw9WZJS+WTS6yKiRm09Avu0KnZSma+xeGQymlU08Ih2EWvT0tOi3bhwSimX5vWrLLH2zMw3qGuXJ+v1GzGpddabHJTUyqKopkxG9jvxvm/fo1pZndcfc/ioVEqkLSP7PYoqpSldviyv3n/k47/fnfUWNR11sj4AZZREZHuZmW9QKC1PGTVlXme9F5PlZb7MwtyxJn49vMUcsVXUy9IxMYqV49eViCAZYOv8Xdy7cp82g1r/7KnIkFHs2LFkL9dO3yRyWKBYm4KCPO3/COfAuqMSDZIB9q46xJm9F4hNCM23PXZ0KDo1KpH5UnxdzniZjVpFNd6+eS8mAf/wEd59yEGtohpZGeLGhJkZb1DXUed9zkfef8gRWT9z5AW8+SiHqk55Xn/IEUlxAcjMfotqRVU+lBLw5iOg8Gl9zQHevM9BtbZHuiIAACAASURBVJIamR8/QilR9+nMjDeoaqqSI69A9gc5sfY3WW9R11IlK+u92L81mS+zUNUsR9ykaEorlxZb84PjfXj24Hm+t/3n9l9k3bQtxE2KpoyKkli7DBmSpM3gAO6mPygRQTLAxSNXSJ64gbjJMZRVEz/A8O3WHAuHmmTms3989ew1ZcopoaAkT1Y+7VkZ2ahpqZL9L98EgMwXmSiVLU0pJUWyXuXTnpGFuraamOcCwOuXb1AsU5rSZZWEe9fPkJOXJ/v1G9S11MnKFDdWzHqVRSllRcqUK0NmPuNmZ2SjrqUm9t7cvgql5SmjWobXL/L5vq+yUauoSnY+fTNfZiGvII+ymjKv81nzM19lo6qlmu/3zcrIRk4O2gz2p5ppFbF2pwB7DOtUzzfF8FMqny8GlrJUvvyQ3Sh/hp2XDfpmVVk2ds3PnopUsG1mhZGNQV4Cv0VDc+p61mH+8GThTcJQf3YmHeDKKeEJWuQQf47uvczZQ1ewcjTGzNaAReNTIOcjpg2MsPOyZm6iMHc7qpsb+zad5vJx4e1uaHd3Tpy/y4njN7C0qkadutVZmLgVuex3GFlVw9HTklkzdpKTA9HtnDi09RwX0tKRy/lIcGc3Lpy5zbGDVzGvU426DsbMH7sesrKpbloZF796zBkllIC36dWc4zvOcGrXWfj4kaCeXlw5dZPDW05hUtcA+xY2zO63hI/v3qJnpot7tDOz+i76IcfbX5V/y3mKI7IbExk/i38736trqRE6sDXzBi4l43nhTQILSu5twJz+S8h8mUlZNWUiRwSzZFQyT+8/x7NtE95mv8/beLuENqSsqjLrZ+xATbMcYQN8WTBsJS+fZqCspkz0iCCWT9rE47vPaBrqgJycHJsXCuXTjVvXR02nPOsWHaScWhnCujVjUeJmXj56hZJqGSL7tWTF0oM8uPcCV09LSssLSFl8EHJycPSwpEK1CqxMPoJyWUWi2zmzdEYqz289RbGUgOjezVm14hD3bj3DpVktVJRKsWF2Krx7T4NmtdCprkXy7N2UKatIRE9PVkzZyqOr91GQg5ihrdkwdxe3Lz+gUau6qFUox5q/hP/W2HnWQc+sCsvHraV0GUViRgWzcuJG7l+9j4K8gJjRoWyeszPfOqyfk+usu3bqZu5cvvfVZ39VZOvjr0vun681UzZx9x9X+ZJEnlx61va8VL6YhFD2Jqdx8XA6dp7WGNTWy5NL12pkSh2XWswfsjzP9Xvbgt1cPSXcI0aNCCJtwzHOHbgk4i4NwtvPeh51mDNwaZ679K7lB/KMXCOGBXJs+2lO7z6PlbM5lo3MmD9UWJHGpJ4Rjj71mD1Y+P/RwwLYt+YQFw6mIycvT5vBrTmz7yInUs9jbm+MjbMZ8/4x6TKso49ToANzBiWRk5NDxGA/Dqcc58xuYbnQkH6+XDxyhaNbTorJpXNl3Lky5jaDAzixUzhHEKbJXT11g0MpxzGxNcTR145Z8cJb+mqmVfCIbcKsf2TcoQP8OH/gEse2nwZEZdz/lkv/e98XEu/DpWPX8hSkvt2a8+DGY/atSvvm7ziwTyuun7lJ2obimconk15LGa/2bmS/zmbbwj0/eypSpZpZVTxjXUk/fh0VTVXW/i0q1/Xv6sGDu8+xqG9I8qxUHt7+JOOoYlARr4hGXDhzG3UdDVYvOiDS1zfcgcdPMzCrpUvy6qPc/UwCoqOjjm9gPc6evIWmtiorlor+pfVpbcurRxmYmFdm/dI07nwm466oo0brSEfOHEhHR0eNpL9EaxB6RTbi9bNXGFrosmleKjfO3c5rq6CjTlDPFpzcdZoqBtp5i3hJpYyKEtGjQlg2dg2Pbz/52dMpNLKNoIyfibD8UijHtp/G3KEms/8pQSJtckucnNh5Bitn87zyJbnYedahei09PuR85M7lexxY/+l2W15eQMzIIE7vu4BVE0tmDV0pclBm42KOkU0N3mS/5eHDV+zf+qlGvNBPwoOzJ25g1dCYmVN28PazvlZ19bGwqsarl9k8e5HJrp2i7qoxHZw5f/o2Njb6zJq8jezPlEW1rPWwttbn2YMXZLzIJHW16OYroocHl45dw6p+DeaOWEnmy083JeZ2htRtYsHDGw95k/lW7HYuYrA/l09co46zOXMHFO4gI2yQP2f+yXcsbsjWx18TzaoVCOztzex+i/O98StJBMf7cuviHWo7W7Bk5Eqe3n+e16ZvUY1mkU5cOXkDpbKlxepFB/Zpxb30e9RqZM6ycaJ7FN2aVfBq78bFI1dQ1VAR8xXw79GCR7eeYO5QkxUT1ovIuCsbVqLVbx6cP5SORqXyJP+1SaSvz2/uPH/4AtP6RqyZvpW7Vx7mtWnraeLX2Z2zBy9TsYoGKyZsEOnbsqMbrx6/wqiOPhtnbBXx+8n9vZ9OPYuOoY5YPrpXh6Zkv36DgWU1tsxLFZFx5x6QnthxBn3zqmJSbM9YV96//4CeaRV2LtsvUu0lVy59Ysdp9C2q5Xky5NIsyhmBQA6dGpXYt+oQFw+nU1Bc2zRCUUmxWKbyyaTXUiR8SAB2ntbsTS6+pk4F5ea527x8+opm0c7sSRY/Ydq7/gQt2rpw785zkSAZ4M7VRzx9moFHG0f27DzHx3/J31L3XMQj2I672ZncfvJSRB53795z7j16hWdQPXYeTheTzqXuvUjTgLo8fv+OG08z+Cj/qf3RvRfcvvkEr0hH9uy8IOKsKpzzMZqGOvI66x03rzwSefeTe8+5dvYW3p3c2bfmSOF/YMWMrIxsTu8+R7fpbTHLx3VShgwZX+Zt9lumdJ1DPfc6pG04WmQGJ+/ff+DIlpME9GzJkS2nRIJkgMObTlLdUg+TugYc2igqAf/wIYfDW0/RursXx1LPi6lJju65TBWTylg41iQt9aJIW05ODof3X8avnTPHTt7i7TtRpc2xU7fQ0NOgtpMRO09d4+O/nKsPpF3Br409Ry/fJeuD6JxPH79JuYrlsHWzYO+h63z8l9T64Laz+LRz4eyJm2Rmis75bFo6SmWVcPC2Zf/GE2Jr/r61h/Ht4sn5tCtkvBDNdf4W+1cfonWPFriFNy5UPxky8sPM3oRu09pyeve5Eh8kA+xbnUarzh7cOHNTJEgGuH7mJpmvsmga0Zi9+ewv96w8SMvfPLh16Y7YQf6tC3d48egF7tHO7F5xQKzv7hUH8erQlHs3HovlOt+79ojH91/QvK0re/IxZty79giebZvw5MFL7l4V7fvwznPu3X6OVztX9qWcEks32bP6CO4xLrx6nsXNC6Ilqx7ffsKtC3doGeeR//ddcRC38MZkvX4jluv89P5zrp++gW8XD/bkU8Zub/JBXIId+fDug1hJ1BePX3L56FVadfEU868A2LMyjYb+DZCXFxQqSAbYt+oQDVrYED4koFD9SjL/6UBZUUmRThMj2bogleGBE4hJCEWnhva3OxZjYseEcXzneeKbj8G3szvGdT7lJFg2MsMtohF9Wk/i2rk7hPX0FOkbOcCHk+cf0Kv9PLwC62NaRzcvWDZtYECzEDu69l/KuUv3iWrvRI6iIC9ojejgzJn7j4gbvhx37zqY1tPPa6tpWZUWAbZ0G7CMo6duENXNlQ/llPKC5bA4F25ce0KvdvNw8a9HLWfzvI2TkaUuvu2b0D9oCoe3nyV2eADySkp57w7p05L71x7Sq9koGgXaY+NeR6o/35+NTxdP5OQEDPAajYmtIY1ay8qjyJBRWBI7zUDfXBeXkIZFMp5HtAsVq2jQ3XkIFatWwD3KOa9NVUOFuEnRTOs+j8m/zabj+AjUKnwqreIW3pDKRjr08hqHWoVyuEc0ymtTrqBKp3GhzB6fwvj4JNr1a4m69qfyKE5+daliUZVuvy9EqVxpmgfY5q2dSmpl6NjHg5nJBxg6cSMdO7igrq+eFyw7NbWghkVlOg1eBmVK0TysPh9LCddlpTKl6NjLk6XL0hg2JJmYbm5UrKmTFyw7NKuFqY0evUOm8eGjHD6/NQMFYZuiUik6jApi7f+2MSxsKpGDW1PZuHLemm/f0gYrJ3N6NhlG9uss/Hu2LHD5KDsvG+p51GGAVwIvn2YQ1KdVoX9XMmTk0tjfHmMbAwa0GI1AIMCni+e3OxVjbJrWxtG3Pj2dh3D/+iNC+vvmtQkrxYRxYN1R+jYdgX+PFhhafypHZ+VsQZOQhvR0HsKt83dpM8hf5N0xCaEc236G3k2G4dOlOSa2hnlttRqZ4h7bhJ6uw7l87CqRw4Ly2uTk5f/P3nkHNHW+bfhKCCGEDSqiCKiIbJAhG8TFEFREHIATt621bqu17lFrW9uf1bq3onXvvQduxAlucYMgKjKT748ocIgd9tPWttx/8pwnJ0Dynndcz/3QZXw7LiddY0j4ZCK6N8LRt/SQwN63LpG9Qxga/QOXTt+i85iYkvFCJJHQYVQ0Ny7dY2jrH2jaIQDnYMeSxXJdT2uiPg1lWMtpnDl8hW5fdxCMNR1GtebO5XsMajiahu39qNfQqSRmXa8mbQY3Z3jIeI5tPEX3KfGIyyzCY79oxaPbGQwMHk1AtDceIa4lMStHC9oNb8XIZhPZu/IIPb/piKSMH0S7oS3JfvyMQcGj8Qqvh1e4W0nMwq46HUfHMKr5FHYs3EevbzsJcn9L1euY0XVCLGNaT2PPskP0+b4zEqnk9xP/5frPotdvbNLLozIdvooh5eA/E8v6LckNdOg6oR0rpm4m69Gzkp+36hfGw1uP0dKTo1tJny2LDpfEqlqa0LJbMCtm7SX20xBWrkwi41GpwVmLdvXJepwD2proVjdg7eZStM60sh7tWtVn8cqjdGztw/JdZ7if+bwkHt3UldzHLylQKDCtrMfqjadLYpWMdekQ482SuQfp2MabdauSeHC39HS7WbQ7+dkvycvJo5q5EWt+Ku1xbVhJl9jPw1g6eSPt+jVly9w9AsfDsM4NKCooYMeCfb/bauSfpq4T2nN882lB4/rA1t6YVDNWc5T8WFWBFlboY5JvC0+q1zEraXHyIVTSlWBncsnPPENdqeNWk2ObTtOkQwPmjVhRcrotFovpOqEd+1Yfx6OJM7euPuTk7pSSXNcgO+zrW3Noy1nCuzZk3rRtghPqrgPDOLz3Es71a3Hn8TOOJF0vibm4WlDP2YJdey4S2caTn5YfpKBMbo9Yf46duI5jzao8zHzOvtOlpxVOttXwdbRix8azRMfUZ87MfQKMu0tCIGeOXKOOhQnZD7M5WMZR29bFAp9Gdmyas4/WfRqxcMwawXM5fmhzUo5cwbxWFV4+e8neFUdKYtb1rGgQ48u84ctQFP+690R498YU5AmdiGs5W9KkYxBzhiz9R7RHqRgfPx616t+MJ3czOLSm9CTR4bXD+vx/gcN6eYV0CUYsErFt/t6Sn6laJDVm5eR1xI+KYem4X8h+XDq/jBnUnPTU++gY6KClrcmW2aU475va2uUT1xI/KkbNsTn68wge3n6CVEsTXWM9Ns0sxbhNLSsT3T+cZRPW0uGrGFb/sJ0nd0tPqFv0bkLWk+egVGJc3ZgN80pd9CuZGRLTtxErvttG+4ERrJ+7j4e3S3MjOgfwIiuXwpevqFzDmHUzS9+zkak+7T8LY8m4X2g/tDkbZwj9Dt6MMS+zXwpaY4Gq13P8l61ZOnY17YZFqbVtDevaEKVSSdajZ9R0smBlGYxb31iXjmPasnz8GloPas7uJQdKar2htPPJw1uPsa1vzfIJa0ticn05XSa0V8Pky8s12BGnADuWjF1d8jNtXRldJ8WROGX9P6KUr6JG+T2qrFHA2/Rvq1e2sDfns5k9mNptFo/vPlWLj1zxGXm5hXw7UN3+v2Y9KwZP78CYIYncv62eO3xKDIUyEWO/3YKoCERlPk9mdUwYP6gFI2Zu4c61DETlPmpffhKKho6EL7/djFaOApGi9IJq5oZM/CKKSRM3cftMOpRDEQeMao6egTbjei5ElJsHZSZIlasZMXZJL77vv4jLR65CuQnQp9M78eplPrMHLQHFP9/U6/cGMztvG3xbeJYYR3zMqpgIVuhjk7VbLYLb+jLvPdcrv6lL3lrGHKesLO3N6f51PKOjvqFYIRw8xRoSvj3wFYfWn2LdT7vUXKJDOgXRrEsQA2JnqVDsMqcgYpkWXy/tztHj11i54rhgzAZo1MyZVtGeJExMRPmsAFGZX7lYU8RPY9uSdPk2i5cfR1wozG3ob0N8lBe9RifCvVzEBcK/17TpcVw4d4elU7chyhd2SvBp7ED8Z00Y3PpHXj58KhjTASatH0ja2ZvMHbYclMLX9WjiTHT/Zoxv9y0vstTrlTuMiuHC4cuc3au+Af5mErpkzMffDrJifPw4lDApjiPrT3AlKU0tVsnchLZDWzJ/+LJ/DYrdY2pHtLSl/PjJXLWYnXcd+v/ckxHNJr11/jF67WByMp/zbfdZarE6brUYvLAvo1p8zcObj9TiI1cPpOBVPl93nqkWs3I054ulnzE+fjrp14Q4tUiqydD5vRCJREzuMU8tt4ZdNUbM6cbkAcu5fe62cKyRSBgwvQPaWhqM7zRTbRwytajE6BWfMq3nHK4euaR24PL57J4YVjHgq5Zfq923krkxE7d8wfe95nDp2FW1+Kf/S8DUqjIjIyarxYyqGDB510h+6r+I5Lcc5PX6thOW9uYMD52gFtMz0mX0usHMHrzkrSh24w5BahsZZdVlQnuSyh3CfIyqqFF+T2rQ1pc67rV+dZEMsPnnXTzPzqXtkBZ/4Tv7MPIIcSWgtS+DGo+nWUJDbL1ql8TEYjHdJsaS+L9dbF95lI5DIgS5rg0d8Yp0p2f7mTSJcMXRzUIQ7zKgKUv3nSVxx1m6dwpEKaEExXZ0tyC4qT2tvllCsL8NLq41UJaZy/WI9WPFyRQW7DtN765BFBqKS1pEOThWJ7SJM7FDFuPZsC4uDWxAUvpR7dQ7mF1bk1k65wDdvmyBSFdeguXZ1LMkvKM/vRpMwCXIAc/weoKak7gvoji49gQ7Fx2g17ROSKTCtlX/NFWvY0bnce34eeCiX93xu3w8lfU/bqXvjwkV7VEqVKF31LUzN1g9bRN9pndB11Dn9xP+gIyrGtLzu84sHvvLWxfJALcvpTM5/gd6fdsRoyoGJT83qGxAn+87MartdLKe5BDeJQjKLKSbdghAJJUyrMPP9BjajEpVDUomc3qV9ekxujlfjlvHg8c5tIzyEHhNNIpwRmSiRddpiXzaPoBKNQxRvh4+tQ206N+zEYOWbyUtK4tWUW4oNEtzGwfaomssp8uURHrE+2PsUElVfgPI5VI+6d+UiVM2c/XWE6J6N0SpVTr2Boa7UKWaIZ9F/UCHQeHUcLYsGdOlMim9Jrdj+qcLuHA0jbZDmoOodEz3a+lJDdvqjIycTNzIGKycSp9TEqmE3t91Zu+Kw29dJAPkPH3BT58toO3QFli7Wv3m/61C/23J9eX0/TGB9T9ufesiGVR1qz8PXESX8e2oXuefvY8hkWjQa1ondizYx5F1ScR/KWxB6RnqimuwIz1dBtGyb6gAlxaLxfSY2oHFo1exa8kBtZpXtybO1A+vRw/ngYQlBAs8VcRiMd2+7kDi1xvYOncvnccJW/e5BNkT0Mqbnm5DaNjGF0efOiUxkVSTLmPbsXHJETYsPkzXL6MEuY7+dWnQzo+ebWfi16wezsH2pR4IEgkdh0eyfc1JVi44TMK4Nog1S8cpO89ahHYKpHfQODxC6+ER4SnYhOw4ug17lx9m0ahEekztIECtbTxq06JvGD1cBuEcaCfApQHiv2zNkXUnmDNkmWpuWgaXtna1ovXASHrXG4qNey18Ij0Eue2HR3FqRzL/+3Q+vb8T4tJWjhbEjmjF0MZjcfS3xS/KS5DbdmhLnme9+NVFMsCCESuw8ahNUIzvr17zb9Z/6kS5Vf9mPL6T8dai+7fJ2tWKRvGB/xgsq7zCEhqhFIvZsbAUNYv6JJSMR1kkH7xKxxFRLJ2+k5xMVZPxytWNaN2nCQsnb8S/pScaRrpsXV+KRLdoU5+cZ684euYmCd0aMHfHCTJe93urZKRDpxZezFl0EB8fazSrykg8VorWxfg4U5RdwJ6L1+kX4cfcQ6d4+Fx1X2NdOb2bejNnySH8bCwwMtYhcee5ktzmDZ0QZxdyaPdFuicEsWbpUR49UOE9BoZyOvRowJJvtuHiUoPKZvqsm1WKBjVt74MYBbuWHKLb2Bg2zNzJ/TRV6wZdQzmdx7RhydjVZD98e5P2j1lujZyw97NlaRlU5rf0pn3F5lk7uXv1/u8n/A2qODGp0MeqN+1Rdizcr2bM8i6q62lNQCsv5n6x/A9d/6Y9ysFfklAooWFsAPPHrCl5JjkH1MUlwI6l32yh3efhpF19yJkjpacGnQaGkrT/Mq8KlTRs68nsRQdLUGwnR3O8PGoxe9lh4tp4cSUjkwNXb5Xk9m7hy8mzt3iW84rIEGe+23m4BMV2sqhKk7q1+WnlYTqEuHPnURb7LpSazvSI9CY5+S7PrmfRqrk7s+bsK7mvjU1VGvnXZeGUbbRoV58ndzM5sr30eRH7aROunLpJ+sU7tOrdiPmjVpH3uudpLccaNGrnw9xhK4js2ZCsR884sLrUDKf9sBZcO3uTmyl33tmJuO2QFty5fI9jmz5O48eK8fHvU4261Yjo1fSd2i92GBVDyj/UYd24qiGxI6JZWKY9XtlWRE06BlFcWMzORftLcqI/j+DRrcekHLpC/FcxLPkqkZynqnmeWU1Toj4LZ+6wZQS391PDuFt+GkbWw2ec3pVMlwntWTphLdmPVYRH5RomxAyIYP6IFfi19EKmI2XLnNKe6ZG9mvDi2StO7rtE57HtWPXzXjJflwmamOrTpkcDFn2/C88GddGtYsimNaXf7/BW7hTm5HJk01k6j2jBLwsP8eT1/NLQRJfYhACWTNmMi29tTKros2Fu6e8bEueHIr+AvYv20W1Se9ZN38aD1yfj+sa6dBjTlqVjVuMYYEtVqyqs+W5zSW7TTg3Q0NRg1+IDam3rdA116DSuHSsmrKGup7Uaxt0wNgC5vjbb5+6h25R4ts3by+1LqvZ42royuk6IJXHqBmo61qC2qxUrJ5di3A3a+mJQSZ9NM3fSbUq8Gsb9Wwps7Y1JdWPWTf84S/kq0Ov/pxImxXFkXRJXTrybA5xBJX06jo5h0ajSL/w/QUMW9uXsgcvsXnpYLdZmcCTeEe4MjfqOckalSGUSvt4wkO2bzrF141m13Jad/PBvYk+fcasoKpcslYiZMbotm85fYcWhZLXc1oFOtPC2p+Ps1SifKaDMR08iFjP/k9bsO3WNxHWnBLgfQEQDR6Iau/D558vg0UsBTi0Wi5g6qxOn9lxi1bdbUZZ7X8FRHkT1asiQsMnkZr8QnL6IxWLGbxjEgi8TST359h3ij1FNOjZAKpP85i7gryn+y9ZcOnq1pEffx6SKiWCFPna1HxbFjfO3Sdr67r0mm3ZugGuwI193nvHOuUMXf4pEJmVS55lqzqzmdc0YsagP04YkcuOyeo/g/l+3RbuSLqPGr1eLVbE0YvyoVoxduZtL1x4IxmWALzo2xthYzqcLNyEuV6lS2ViXGQktGb95LxfP3EOjQBgf3D6YGiYGDB/xCxr5wnHZyEjO15PaMud/u0jefgFRgRDF7v5FJJbWpoxo+Q3KcvijfiVdJq8fzILRq0jadJrySpjQHhv3mgxtOk4t9nvqNKYNYokGCz7COtOK8fHvkVsTZ+y9bdTa8PwRRfRsQt5bWpx9zLJxr0XnCe0ZGT5J7ZBIW1fG1L2jWfPtZvatVJ9fth/eCo9QFwYHj1HLlcm1+GbfV2z8aadggf1GrQdE4t/Ki8GNx6o5/0u1ZXyzawTbFx9g61vmPS0/a0ZwOz+GxM1S28jQMNBhytIe7N99kQ2Lj6mVm4S19SS0mSuDu86j8GW+ICaRSpi8IIHjuy7yy7db1FDsJu18iOgUwKAGo8grlysWi5m65ytO70pm+cS1lFdwOz9aD4xkUPDot27mTd37FSkHL7N49Cq1WEC0N+2/iGJIo7FvbY83ZeeXXDl57a3jmFczNzqPa8ewJuN4VsY76I/IvYkLkX2aMjpq6jvl/RWqQK//pASozDsukkFlwz6j3wLaDouilrPl7yf8zXqDyiR+s5nq1lVx8BW2CKof5opIU8LcL1cTP7iZoNZLLBbTaURLvhu7CZPKeri4WQlyXQPrIq6szbdL99GjrR+UQanFYugWF8CoPXuRG2lR306IaXvYm6Nvqs0XB3bRN9KHYn0E+X3CfZiw+wBKEw08fGuW4H4A9ezMqVpZnwmzt9OpZxCKytqCiWLHHsHMm76TYg0xXs3cEJVpYWLnYYVFHVO+7jmHjqOi0ZTLBPV8cSOjWDFlA85B9vi2rP8Of+m/T+2GtiQnM+dPLZIBlo77BdOaVWjaqcH7fWMVqtB/QCsmr8Owij5h3Rq9U16LvqEUvCrgzK5kIno0fqfciJ5NObU7haMbTxHZvaFgo9C4miEt+oTyZcfZNI32oHJVfUFuSJwP5y7fZ8/+y0S3cBfE9Kro0qp9fXrPXUeoV12qVTMUjMvNAh04/fQhiWkXiG/ihqKMeaqurpSuTT3ptmEdDV2tMatrTLG0NB7mY0faowxWJp0nupM3xVql47JcLqVDrC9ffvkLHn51MHe3QlmmDCaoeT3u33zC+vkHaDu0BaIy7aFkcinxQ1vwVZvvcA60p3YZZ12AwGgvMh9kkjh1A3Ejo9/p7+wXVZ/nWS85uzuloj1KhQAI6dwAU8vKf2qRDK9L+bL+OQ7rflH1cQ5yYMXEtcSPEqLWEqmEzuPaMTn+BywdzNVaUPpEelBUWMT84cvpOEb4/ZFINOg0ti1Tu8zErJYpTv52grhnqCsSqYSZAxapOWKLNSR0HtOa7z+Zj5GpAS4NHARx9zA3dM1M/MW6JAAAIABJREFUmDF+Ex0/DxEgzyIdbeKGhTP95z3IjOW4BtkIyk2cvGuhX8OQSQv20GFACKIyqDViMfH9mvDzj7sR6WjhEeGBSFKKNTt4W1PVshLffr6ELpM6INEUukt3HNOG+SOWU1hQhFeEcOy19aqDlWMNJsX9QKcxbdXcpTuObsPSsb/wIvslflHCuamNey1sPGozLuZbOo6OQSqTCuJxI6NJnLKerIfZap1PrF2tcA60Z3TUN8SPikEm1+KPysrRAo8QF376bD6f/JiAXP/j2tD6UPpXnyi/ceSbO3zZH0Zlfktth7Tg1qV0kjar72B/DCpBZUav5uXr3pKRvZqQ8/QlB1YfJzyhIUXA7pWqHnWVqhnR5rNQFkzahFRfh7j+oSyed4jnz1U4dbPWnuS+KmTv9hSatHYn31iTTQcvqu6lL6drlDezVx2hUFtEnyg/vj+dREa+amcrxtURcpWsP32JSE87xEYaLL+qOmU2lmnzmYcPM7cmoXyloF9TX2YmneBxrio32sUBrWciNu2/QHi9uuhpa7FmjypXT65Fzxg/ls8/jOLRS7r0Cmb1gkNkPFShMo2auSBDybYlRwgIc8LIWIcNP6sWlHJ9GZ2/iGLlN5vIeZJDt3FtWDN9a0lPvuC2vugaytk4Q9is/mORqv1CHDsXH+Bmyp9HP9+oflg9artasWLSuvfw7t6PKk5MKvRPkVtjZ+x9/tgpU5fx7Ti57RwXjlwBVA6jzkH2qpOC32ptJBLT8asYkg9dJuWwyvzFwacOHk1dWTR+LXXrWxMQ7c38KVtKUjoMCOPM0VQuXLhPbJ9GpFx/yKkUFZZnZ1sNP986zFlwgJr2VWkQ5si3Ow+VrLv7hHpz6ko6p66n07WpJynPHrP30U0AnExNiahZl+lbD2Nd2YTmXvZMPnaYotfJn3h5kXLtIWdP3qZLIw+uPczk4OVbANhWr0ykqy1zft6HeWVDWjZ1Yc7sUhQ7NtaHG5fvc2ZzMq07+ZF+/QlJO1UotqVNVULaejFv5EoqVzemRY+GzP1iJQV5quPrmM+bcefqPY5vOEXUp6E8Sc8sKa+qUdeMiJ5/DJdt0TeUZxk57E88CoBZbVOiPg1j7rDlJff6u1UxPv61aj88imtnb3Jy+7nfv/h39E9wWG/eN4SczBfsX6lylVfh0qrvgJ6xDu2GtxKYlLX8NIynD7JUPY7LmeBWqVGJmEHNmTd8GTJdGXFftmZRGYy7eZ8Qnme9ZN+Kw4R1a0RxUTE7F6lO3U2qGdFuWCsWfrUKTakG8aNas2Tc2hKqMzwhmPyX+ez95QRN4gOQGOqxfa1qXm5ooktsr4Ys+W4bSpmUuKHNWLTqGFnZqjlxs6ZOiF4VsWNzMo1DnJAYa7FuvwqN19eV0bOFN8tm7qPoVQGdP23CisWHycxQ3bdxuDNahcVsn7uXoMh66BnpsHmB6j3rGsjpOCic5RPW8DLrOQkT41j9zUYe380AXuPSejI2/7yLwNbeGJsZsf7HbUCpIevKSWt5/vQl3SbHCjDuN7j0hhnb8YuqL8C4ZXItEibF8cu3m8h8kKWGcZftfOIT6SHAuKUyqepeP27jwXV1M7Wy8gx1xbpezZL5okQqodvkOLb8vOujKeWrQK/fUW5NnLHzqsOy8Wve6+s27hCIlrb0T5/mfSh5NXPDt0V9vu+j7kro19KT5r2akjh9O+cOXRHEJFIJg3/uTr4Svhu7UW0A925gS4s4HxbvOsOxi8I6BolYzMi+oRTKlQzbvLNkwvRGgbWt6OLrzrzLp9h786YA6RMDUxuHIFVqMmzddgrLYTZ+NS3o7uvJqt3JHD2UhqgM7SIWwxddm6Av1mTq0F8oLDeJca1fk3YJQWxZcJDDa46roTKfTIvD2ESPyR1/LKl7eyNH/7qEdQlWoZEfUfsog0r6dPgqhsVfvd8SACtHC0I6N2DesGUUFf39DuAVE8EK/ZNkblONyN6/vhCTybVImBLP6q83lEyY3kiwECvnAA2qScywpZ8yb2QiD24KXV0r1zCh/08JXDhxk8SZe9UW2y26NcAz1JHv/rebe/eF/gsmJroMGRLOqfQHzNp7QmCyCNA2yIVgl9qMPbyPtCdCg0ATuZypoSGcz3jEd0ePIioUJrd3diTcui7T1h7k+i3h72ukK2NcfCg3bj5hwf/2qTlih4Y40jjYngXjN3DtrPBZo2ugzeDpHbib+oDZg5eoodiNYv1pEufPgpHLuZIkJMfketoMWtCHmZ8t4MmvGB52HteOk9vOcvGo0IlWJtciYXIcq6duVPv//R2qGB//Gr1xpC9b+/k+9DE7rA9Z9Anb5uwh5fBlwc9lci2GLe3H04dZ/PCW+aV/Ky8iezdlxcR1arXYUpmUYUs+5Xn2C6b3nKM2v/Rt4UmLT0JJnLqRM7vOC2ISqYShCz+hsLCIaT3nqs9Nm3sS1S+MNQsOceqQ0I1ZIhEzYGo7irUlTPp+G8WF5Vzy/WrTtoUHq7ac5tjJG4KYWAzD+oSiraHB16PXU/xSODa7edakXaw3m2bv4+iWM+VyxfT7JhZdPRmTYr+n4JUQxXZp4EDsiGi2/LyTg78cp7w+ndENk2rGTI6bTl6uMNfBty4dx7Rh27y9JRsZZdVneheqWlVhUtx0NYzb1qsOXca1Y9fi/W/t5tPjm47cOH+b3YvfXh4Q1q2RWj36G8V/2ZpLx1PV/n9/hyrQ63dQSJdgTGtUeu+LZIDdSw5yL+0hHb6K+f2L/yL5R9XHvG41Mu4/xdHfFmWZGlyJVIJTgD1bFuzHrYG9oD4XwKOpK2lXH/LgVgYubpaIisvkSsQ4e9Vm7YELeDpYoFFuQuXmacmFvAxSs57iXbOGAJdWyJV429Rg9YMkgqyroiFXCpA+XysL0osek1Z8By9HC4p0lCX5IhH41rJkRfJ5XFyrU1xJgrIM0eJuW4PHT15w/tYj3BrbCev1FODmVZutK47j6FMHLUPdUkdDwNGnDs8eP+f8kVQ8woSug0qFEvfGzhzbfIa+07sg0/njSMqHlLWrFW2GtOCnzxa89zr5WxfusGz8Gnp+1xnDMs66f6csLT/+EocKVQggPfU+C0cl0mtaJ0yqGQliZrVN6TqxPXMGL3nrIuvB9UfM/2IF3afEU8XcRBAztaxMj6nxHN14mvqh9RBsaGto4BPhzv71pzCspEdVc0PBpl6lGsaY2Zqxc1sKfl61BRuUxVpivANt2Jqcip6+NpaVDQVt+4xN5FjUNCLxznmCrK2EY7pUSSO7Wmx/dBlDIwV1auqjlJQmG8u1sKlaiRU3k/H1rElxueEz0KEW+85fQ6klpppHtRJHbAA9HS3q1jFj68azeIS6gKYQQ6zf0J4Tu1JQFBdT19tGgGLL9bWx9ajFtnl7qR8uxBtBtYl8bu8FIns3xdarjiAmk2vR94eubJ29W22RDJCXm8+MfvMJ79EYB9+6avG/QxKJ5PcvqtCflmEVA3p/35ml4355r4tk+Dgd1mVyLfpO78rxTadxD3FRi9cPr0fy/ovkZL5Qw6WlMinOgXZsmb0b96bquR6hrlw6dpWMu09xChTmSqQSXIId2TJ7N26NnAS4NIB7E2eunbvB/bQHuAYJczXlMlwbu7BtxXHq+VojFolKxkClXAuXRg6kPX3G9YdPcXOzEmwGKnTFOPlbsfxCCvXcLRFrlt5XIRHh6mrJ7WfPOP80A+cmdVGWwalFInDzrs2mzedwCrZHol1mkFMqcfSuTcb9p1w6eZ36kR5qG5juTV3YPGsnTgF2ari0k78dz5++IHnfBeqH11P7W3qG1WPLz7tw8Kmrhkvbedch70Uep3YmqyHeoKIHt8zZTV0vG7T1tAUxG/daKIqK0ZbLaBwfoJYbNzKaR7cev3WRDK9L+SwrE9K5wVvj/wb9606UY4dHkXrmJqd2/P9Rmd9SNeuqtPwk9G/Hslr0DeXZ01JUJqJnE3Kfv2LviqNUtqhMm4ERLBy3llcv8zEyNSB2cCQLJ6wj90U+zbo1IrcY9m1SmXaFxtSnqLCI3dsuYGBhTPvO/vy0OYkXufkY6mvTNcaH2WuP8exlHhEhTjw3VrDm0iUAWjs5IELEmrMXMDDU4vMQT35K3cOzwlfoS2R8YtuQaUknyczOp7WdPTK9QtbfU6EykdVdkGlIWHA0DeMCbQYE+vHD0eNk5uaiK5UyMMCPhetP8OL2C8K97ZBpSNi4W7V71dTfDmOlhE0rk9DV1KBLz2ASZ+0l83EOMrmULgPCWPPTLh5ff0CDlu7o6muzabbKLTGwVX0MK+my4X87kGlL6DqhfcnJwRskZc13W3h06/Ff/W8tUXlU5kNJLBaTMCmWfYlHuXbmxu8nfCDV9a9F1aZ6fPnllxUnJhX6R6nrhPYc3XiKK0lpuDRwwDnIniVj/pgjfcmJ5rFUnPxtcQ91ZdFo1UavnXcdfJrVY/5XqxFJJHQe04ZT+y5x8YTqexo/uBnnj18j5cRNbOvXpn6EK/Pmqk4GbGzNCGxkz+y5+ynS1iC+ZwDHb6Vz6lo6AD1DvEi++YDjaXewrW1KQ19rpqTsQwHYG1WhpaUDXx88RLGGkn6Bnlx5cYOkDNV9E6wDOfMgkwMp93AwqUykoy2TT+1HAdgYmdDOwoXp64+gyFfQI9CTK3cfcfSS6qS4cxMPbt/M5OyOVGqbGRMa4sT8/+2mqEhBDUsTIpvXY/74jRTlFRDTLYjbl9NJ2qkyH4zu3Zj71x9zdH0S5rWrEN61IfNGLKeooEh1St83hDlDl1GQV0D05814cP0RRzecBCCqX3gJmm1W25RW/cJLrv09lUez/w7JTbVoOtKHTz755F85Pvr7+8Nh/b9tfLRxr0VgjA/zv1jxwfHoj8Fh3aymKVH9w5n7+jtQFpfOy80nql84mQ+yOLhaVa7XvE8IOZnP2Z94VO1ak2pGKjT7i+W8ev5KdW2ZuWmzHo3Jz81n99JDwmtf5GFYRZ+4ka1ZNGolL7Jz1TDusISGKBSwc9lhjKpXIm5Ua5Z8t50XOXnoG+vQoV9TFv1vFzn5xQR396NIDFsOqMoEmwU5oFkMW7adR6eynI7d/fnh4DGycvPQl0kZ6OvHgjXHyMrKJaSpI2KpiHXHVLkRHnYY5InZueQkejJNOvUMZtmCg2Rn5aItl9KtSyCrvt9GRnomDZvXQyaXsvU1ih0UXR89PS02/LgVbR0tuk6MJXHKejLuPS3Bpd+g2Q3a+WFgoseG12V/ZXHp8teW4NI/bOPBjUeCa0F1Sm9Wy5Q1321Wu7Z855Oy1wJ4R3hQw1Y133zXLinl0ey/QwWiPJpNCmDo0KEfN3r9ww8/sGXkQYrfzUjt/60Phcr8lrR1ZXSdGMuqqRt58jdgWT2ndeTIuhNcOCLcCfdt7oFHmBsvnr1i4VjhqbpEIiZhXFu09LU5sPMi50/cFMQ9g2zxbupItkTJTysOCehjsRj6xAWhpS9lw4M0jtwV1sn6W1kSam9Nnuw531/aTTFljMIQ85ldI7SVOuzPuMTRDCEqU79STcKrO5CVI+KbXUfUHA8HBfpTqViLY0euc7wcKuNqZ05IgB1FT1+xYMJmispNejr2b4qBvoyTW89yrJxDqr1XHRrH+VLwIp+5w5dT8EqIrHT4KoZrZ25wbONf/zCL6NmEVy/y2LNMHZX5UIoZFMm9tIclE8u/UsHt/dE20mTAjL5ABVpYoX+eWn3WjCpWlbh7+d47l+c07xuKlaMFty+ls3GWMLdSdWNiR7RELNFkxfQdPLknxKkjOgdS08mC24+esXadcIwzMtKhQ/cgivUlzD1wirtPnwnfs48jdpZVSCvKYs51YetEYy1tBnr4oS1VsPTWIW7kCO/bsoYbdXUsuJX1nJ/PnxDE9KUyhrj7o1moQeKOZG7eET4jI+rb4VbDjKc3skmce1AQk+tK6dqzIZoiEZtn7VZrX9KglSdOXrXJuPOEZROEbrIyuZSEie2RaGqyZfZO0k4LnxeBMT7Ua+hI1qNnb3WT/S35R9XH0sGCZeP/nLHT/0c27rXwi/Gkw/C2KBSKf+X42LdvXyo/teDwyr/++ePbsj7Va5uyetqmv+yejeMDkOlqs3nWzr/snm/k09wT63o1WTJG+B2QyqR0mxKHVCZl58J9XDomnKv5tayPZ4gr2Rk5LPxypSD2ZnGlJZeyZ8khNYzbO8Id7wh3cp6+YH45N2aJREy3yfHIdLXYn3iUc/suCuKeoa74R/vwskDBwmk7BBsZYrGYLiMikZrpsedUGifKebh4OlkQ7GPDM40ivt57sKwXImIx9A/xx0CqxYGz1zmSckuYW8ecSNs6FGblM+/1Zl5Zde0ZjIGWhKTNp0naLESxHXysadzGm1c5uW8tz+k8ti2GVQw4ueMcR9YJx087bxtCugRTkFdQspFRVh1Ht8HI1JCze1NKNjLeyMa9Fs16NqEgv4h5Q5eqYdxxI6OpVN2E5AMX1TBua1crIvuEUJRfxLwvlpP72rPoj8jKoQbN+4Qw8/OFFL4HX6h3ka6hDh3Gtab32AQeP378caPXAwYMoMtXsVjYVX/fL/2rMq5q+MFQmd/Sqxd5zOg3n2Z/MZYlk2vR98cENMQaavgGgERLSnFhMZoSsQpJKSMNLS00NDUoLlaiKZEgKodia+rIyNcUIy0WoUk51lpHA7FMg1yZAplEQ4DsqXLFaOi9QE+qQKpRLMjW0ypAVyrC3OghVXQL0Zflo1HmBXQkGohEBRgb5qE0LhJ8MjWUIBWLeaVZjNhAQqFcLEACtSQaFL8qQqQlQWwgdMTWQISWVEJRQTFSHZkA2QOQamlQlFeIWEOMRKoBInG5uCYuDRxoGKuOpHxIdRzdhrtX7/+li2SA1d9sQqYjI7J307/0vjEDI8l/VcDaGVt+/+IKVegj1drpW7iadO2t4/LvSUumSVF+IZpamqpuBGU6EmjKpYCY4qIipFLhGCWSaKCpLaVQoURTU4KoSNh6T0NHSqFcTKFSgRSxYNwuloFER4OX2sVI5eqmYlpaoKedh5EsBzOdQiQape9JoqFArgnasueYGBWgoVOESFoal4rFIBJRIC2m2ExMsbTM6ytBKtYgX6FAbCBFoS0RII5SDQliJRQVFiM10hOUz6BUoinVoKigGE2ZlmrMLjNuS6QSRCIRhQWFb/0/SLUkFOYXqTnU/hFpyqTom+jSbXLcO+f+f6RyIrZn5tAFH60R1PvQjBkzyH9VQOsBkX/pfZv3CUGmLf1LF8kAu5ceIv3q/b/cYb1xfACuwQ5IZZpqMQ2JGJFYTOGbsaicNLUk5OcXoCmVqOHSEokGYg0xBflFaGq/LVeTgrxCJJoaarliiQSxRExBnvp9RRJNtHS1KShWqu6B8Dsg0tMGY23yC4uQamgISlEKdESIDCTkGCpAR4RYKhaUAaIlQmwAefqvUFYSoyhT2aAUgaamhBdaChT6UooNZSjKjBtilGiKROQXK5EaCMv8ADSlmhTkF6GhqfnW8UYilVDwK39nqUyTwvxCRGIxGhL1pdqbXKmWeimGptbr3NfXvS1ekFeA9C33lWhpUlhQCGLRO4+RUpkmimIFvf7iUj5L+xrEjYzmx/5zePz4/ROgHwy97vJFPGlnbnxwBNrGvRaBbXyZP3z53/oAaflJGFmPn3Fg1YfFssxqm9Lqs2YluFh490YU5BWV9OiL+qwZmQ+yObT2BIZV9Ikf0YrFE9fzPOslVawqEzMgggUTN5KXW0BIex8Adqw7g1JDTPPOgTxFwZ59l9DXl9GlUwBz1x7j6cs8jMx0aR/vzbS9R8gtKKClsx1aEg2WX0hBKYZ29Z3QMslk35OTyCUyutUK46fLh3j46hXmelJGOnmy/9Fi8hQvcTYIQktDm+mpqWS80CHawh1NST47H51ALpbSzboZUw4n8yQ9HxOpjM98fflxvwqVCXewwURHzpr1Z5FlKYgIcEBaBFu3JCOTSeie0IB18w/xJPURenJNOvUPYdm0LWRnvMCvmSuVqxmxbsYOlHn5NGrrg5a2Jltm70EildBjcizrZ2znXuoD5HoyEia2Z/nEtWTez8K3hSfV65ixeuqGD/r/lcqkdJ8Sx9rpW3lw47ddCD+knALtcG/szMJRiR/0Pm+Q7wOrjpJ6+kaFWU2F/hWy97HBO8Jd7dTkbRKJRCRMjufgL8dJPX2Dup61CWjlxbzXuS7BjrgEO7FkkqoHctyQSC6dvcW5Q2mIJBp0Hh3N8QOpXE6+g7W9GQ3CXJg7aw9FGhrYuVlSr1EdZmxSPZcSIry4kP6QI2l3KNKGXq29OZhxnROP07E1rExraycmnz5AkUKBu5kprW3N2fN4KQDhVZtxPjuLzXdVp7sDHfy59fIil55fpprMjIZVgpiQspe7Dw1w0jOjWS1bppw8gALo6eTJnfs5HDl4A418Jb1CvLl49T5JF25Tw9SINk1cmbXgABrpuVhbVKJxiAPzp25HoVAQ1dFPhUv/kgRFRbTtF8L1c7c4ufM8ppYmRH8SyvxRq3j1LBdLu2qEdApi3rClFBUpaPlpKNmPc0pOTWIGNSf96n2ObTpFJXMT2g5tKXDx/S1Ffx7Bw1uPObLuREmHifkjVpCbk/vOn493UfO+ITx/qnIH/q+Mj84ejgS28WXesGW8rznqr6nz2Lac3nWelEOXf//iDySz2qZE9Qt/68nh+1bMoObcS3vA0Q0n1b4D1euY0aJvCLOHqE4/I3o15dXzVyUb9tGfR/Do9hMOr03CuKoh7UdElzhZV7WqQqvPm5X8DuUNoFp+GkbWw2ccWH0Ug0r6dBwdw6JRieRkvVRh3IObl6DYIZ0bINYQs23eXkQSTZp/HsmLnFfsX3cKXQM5nYZFsvzHXWRnv8LIwoTWA0OYlXiYl7kFhAY5oKWtwbrd5ynQFRPe1pmXkgLWpF5ETyplsGcAsw+eJPNRLkaG2vQO92T65b3kFOURUcMB/ecGrN12HlExRPk6UAysP3URmVTC52H+rEo8yYvzGRhqSejULYglM/aSk5VLYIgjJnparJ++FYqLadzOG01NCVsX7Fed0o9vw9rvt3A/9R5yfTldJrRnxYQ1PH2YjV+UF2Y1q/DLt6qNmoaxAcj1VaTBm1P6N07W2royEibFsXLKejLSM9XK8xq09cWwigHrf9xWQtpunbubO5fvCRyyH91+gle4G7VcLEtwaf9WXlSxqMTa77cgFovpNiWO3UsOqhE9b5NfVH2q1VIRGWKxmK6v53XliZ73Lc8QV6zdVMj3P9L1OqRLMAA7Fux7L/cor7L/mI9BAdHeVK5hwtrvP8ypmEsDB1waOLC4XN2bV3g9ajpZItfX5vi2ZC4fTyuJSSRiuo5vx62rD6hua87iqcL35tbAjjpONdAy0OFY2n1SUtJLYmIxdE8IJi0ziyqOxny7T4hoeFuZ425hjlIbrolTuPBciIB3rxXOndwneFWSsf/RYhRldgGt5A7U0nXmbq4eKdl3OZUlxHsSaoVz7lY+drIqfLPzkGD/0M28GoHWVhRnFnL73ANOHb0uyO3SKYDHaY+paW7IwvHrBaiMbT0rfEKdeZ6Zw+3ztzheDpWJH9mKJ3cyqOlozpxhwrZi1m41CW7rx7xhyz7IpkwVi9c1P8OWqaEyf4fK1y+9b+ka6tB5XDuWjvuF7McqHPS/MhGsWCj/+/VHFmI6Bjp0mdCe5RPX8fRhdsnPjasaEvtFFDcupKMh1WDLAiGaHNYxEA2ZFEvXmqxacIiMR6UOuvpGcuJ7N+Ta7UwUVWWsOJQsyG3u54CGnoTqdYyYe+046S9Lcw2lMga6BnA55yHmxgWcyRZuDPqY+KFQ6GGmbcr+Jzt4lF/qxq0tlhFToxUnM56izDNhzjlhuUrL2naYFOtSS6TPhp3J3H5QinHLZVL6xPhzLfUhVRQSfpklnDMEhjphYiSnkomcnQsPcOtS6XNKKpOSMDaG68m3Maqsy4qJQhTbv5UXVa0qY2RqyL7lh7h27lZJTCKV0OPreDbMKG2nUl7lN/NKcstNQj+EOo9rx+kdySUI639pfDQyNSR2ZLSgpdD7VPlFw9+tD+2w/mbhs3fFEYEPyZuF2PXkW1SpUUmt3Z1PpAc1bKujZ6zL4bVJXD1Z6iovkWiQMDmOmxfuUNWqilopg2eoK7VdrdDWlZG05YwA4xaLxSRMjuP2pbtUq11VbVPerYkz9t42SPR1OXPwCheTrgtyOw+P5G56NqbuFsxceViY62SBo6s5eVXgeMZdjt4XothD6gdwKzOb2mYGfHd5t2B+6Wliga92XRTPi0m59ZBjacLcT5r6knHtKbb6BsybKkTA7Vxq4O1Vk9wn2dy8cIcTO4RO0B1GtOTBjUfUtKuu1mmkrqc1Aa28yHn6grtX1GvX40ZG8yQ9k9ouVmoYt7WrFcHt/cl69IwHNx+pYdyxX7Qi80EWtV0s1XyVrBwtCO3SgMfpmWSmZ3FgtfCwr93Qlty8ePc32+KWbfVVVjEDI7l37cOV8oV1bYhCqSxZY/4jXa93LNhHxr2ntB/e6r2/dvO+IUhlfz0q81s6tOY4F4+mkjDp/WNZjeMDqGFbXW2RDJC09Sxn96SgZ6zL1RPCRWNRkYKrZ28S3MaHS6dvoCy3wLt07g61nS0wMTfmygXhw16hgIs3HtKogS3Jdx4gKldycCrzAVamhlhXk3Mx5xaKcn1Gbuem0cnSkuf5ycg1chGX4QEz8lKoLDUhuJKEnOIziMtx3CnZt2ntaM3ZZ/cpkCtRaJTGU+4+pIqODra1q3Dm9kMUEuF9L11Mp0GYE2lXHlAk1hCg2KnnbqNnKMfOsxYpx6+BWJh78VgqlvbVmTlgkVo9ybUzN1k9bSN9f+yKrqEO71NO/naEd2/MjH7zP4pFMsCDm4+YP3w53afEY2pZ+b2+tqV9DeK+jGbW5wtLFskVqtC/SRnpmfw8cBEpjsdIAAAgAElEQVSdx7Wjeh3157WFvTmD5vfmyd0MwSIZ4OnDbDLuPcW/pQfnD6u7MaccT8OnWT2yMp6T8UCYm/2ygEePc/BrbMfZq+lqJTInb6QT6FaLZ8WvSH/2grKWsM9FL7mbn0FMnVrkFKpPjG6/PE9oVSuqSh9QqLyNtkZp65QC5Sse5T2gubktt4svCDBsgGP30gmobUmeVMG1Z9kCFDv3VQE37mTQyM+W5NQHKMshjOeTblDPX+V2fTvtoaCEpiCvgBsX7hLUuj4Xj6Wplc+c33+R2i5WrPp6g2CRDFBUUMRP/RfSsL0/bo2c1H5fXUMdek/vwprvNgsWyQBFRcXMGriIgGhvPEJc1XL/Pypx435Lu57/irIeZfPz5wuJ/zIaS/sa7/W1TS0rkzApjjlDl34Ui2T4sA7r+sa69JnehcQpG9TMOosKipj5+UKsHGpw6S3O78kHLmHva4OuoVztdLCoqJi00zdo0NZXrZYZ4MLhK9i418KwqiGpJ4VzU4VCQerJ6wS38+Nyknru5eNpWDlZUsXciKunhF46SomE1Iv3CWzpzqWr9xGVO/A7e/c+VW2MsKpkyJlHQiMqkbyY5OfpxHuY80BxFcTC3OSsu9SsoUmtmiaczLyPogydLFLA+ZsPaBhox8V7GRSXawVz7fwdDI11sHGzIuWI+u90KekawW39uJZ8R60dZ9rpG+gYyLH3tSH5wCX13KOpBLf15fq5W+pz03O3VA7kDexIeUtuyuHLBLXx4eb5O2qHHrcu3AGRiNsX7qotkgFWTlmPnpEuET2bqMVARWTcTLmjtkgGWD1NVcrXvE/IW3P/P4obGc2juxkf7CC2rP4S12sLu+qEdWvEvKHvp1dr+V3Wj00mZka0/yKK+SNWvhcsK2ZQc9JT76sZUZWXvrEuHUa3YdnE9TzLULmpRfcP59H9bI5uOUvj9r5IpBK2r0xCJBZTtaYpLfo0Zu7/diPR1KBLn0YsWX2czGeq99yyjSd3NV6x61wa4R626GhJWXrhPEpNqFJFl95NnZiRugOxCPrWbUrinb08LcxCLFLS3sITR93zZOduxEwnDE0NI3Y+2cezIjmVpHqEVY3g+tPvUCqLqWvcnxm3znE2S4FCKaKZmS85BcVsuZdMQ1N7TLUN+d/+y2hmiamiqcMnfl78tPEIBYUKPmvhx9q1Z3iSmom4SEl4iBO8KmLX+rP4BNWleg1j1s7aiyg3Dz19LeI/D2PplA3kPs+j61fRbJm7l7uX7oJCSdMOASrcZ+5vm/BIJKqd0B0L9qsGmf+nGrT1Rb+SPhtfOx5+jOo0pi1ndr8fPO233BH/SycmFfrvKP7L1lw8cpWze1XOzZ4hrli712LFpHWlpMrw5SiUr09apsSxL/Eo15NvEzu0BannbnN6n2oCVK+hAw5+diz/cRdWtmY0jvZk/vRdFIvFKDU16DgsjAMn0ric9pC4VvVJfZzJwcu3UIrA1cEcV09zvj1zDGsjY9o5OjHxzAGKJEVoaBUz2d+D9NzD3MpNo2GVCB6+esTJLNWpiIO+FUEmtXj6fCJyiSXm+rFsvL+C8y+rUKCQEF29JVdyzpP2MpXGVUJIySpmafJ9lAViXE3MCKlhw7R9R6iur09XDze+33wEjbuFaOQr6RnpQ8q5O5xJvkN0pBvPHj/nyC9nEBUXY21rRlCIIwsnbMTYVJ/WvRuxaNIGch9noywuJnZIJJePp3Jm9wUiejQiN+c1KqpUUMvZksbxAcwd+vsUUHj3xhTkFZaUMVna1yC0a/Af6jEf1rUhANvm7/1/fU5ARfK06v92N+7/6vgYOzyKtDM3OfkeSvmcAu2o19DpnY3c/kq1/CSM7CfP3ovDupWjBU07NWDesKUUF//2d6A8Lm1hV53wbo2ZO3QpOoY6dPgqhsVfJZa0qYwZFEl66gOObTxFSJdgxCJRyXegeh0zmvcJYc7QpcjkWnQa145lY1eT/URFsLTq34zHdzI4vDaJxh0C0ZJrlRggVq1VlegBkcwbtRqJVIPOo6JZ+eNOsjJfIpJKadY/lKfZLzmw7zINGzsgr6zDml3nUIpEGJnr0aZjfaacOgQoGewTwJzkkypyRruYMYHV0dF4wvlnB3HU9+NxvjX/S0lBoRBhKtehn6MPC25upVBRRC/rcL47cJmsyy/RyIe2bo4U5BWx5dhlgutZYynVZdOsg4gKizHQ1yI+IYBFoxLJyy2g29g2bJq7h3tpDwEI6RiAUgk7lxzCu1k9zGtVYdUU1RxI31iXDmPasnTMal5mvyRhchzb5u0pIVUadwhCKtNk65zdeIW7UdPJgpVTVKU4ZTHu7Mc5JEyOY8/SUly6YXt/5AZyNs/aiVsTZ2zr12H5BJXJr7aujK4TYkmcuoGMX+kx/0auwY44BdixZKzqsO5diAynQDvcm7iomb/9GUk0Nej+dQc2/7yLu1eEh3v/SPS6rHQMdOg8vl0Jk/9n9AZN+WXax4HK/JYkUgndJsez5ec/Zq3+NpWgMssPq+2E/1ZOwqRY9q9OIqiNN0e2JpN6tjTXNcgO+/rWXDh7B+dGjiyeLWwwnvBpIw6cuI5PcF123blN8u1SHM2jjjme1ubsf3KbYK+qzL6+S5Db16YJJ55eoGHV2hiL11JQUOrEZ6RVj0pyf1JyzuGo58617O8FuXWM+rL6QRbVZO4cf3KXk5mlO4hOBuYEmdqx7lQ6LU3r8uOGwwLXwl6h3lw8dZd6llVJPX2Hs0dK0SBrWzOCmjhwaO1JGoQ4Mv+r1YIJU/tBEVxJSqOOiwXXztzk5DYhiv1baj8siuvnbnJi29k/nFNeZevePnb9Gl7zLgpLaISiuJgdC/e/Nf5fnQhW6N+v8G6NVCY3UglKpZLtZXbC37RHWfvDNloPiGDJ+LUlm50AoZ2DUIpUTI5EV4cdiaXu1HqGcjoMDGXtiiSa9w5m4drjPM0q3aANDXZArKfJC1EhGmZSlqSWoti6UimDff2Zm3aCwT52nHyaSHbR05K4h6EfUrEOr4qfY6NTTG7uzyUxMXLqGA9gf8ZOLHTj2f5oO5kFpcioh1F9cgvMufpQSTUNQxYllY6TcomEwYEBrDiYTGdbZ9avOcW9Mifjgb42VDPS5XHqI8xNDVjzU+mzRiKVkPBFJFsWHSK8rZeqfUlq6XPKN9KdatZVuXPpLlYO5iS+nlD+Eb2ZhF47dwsbt5osf4dWJx4hrti412J5OfT7XeQcZI9rsOOvLuL+y+Nj+YXYn1HD2AB0DORsmrnjT7/GXyW/KFXJwJvWPX9G5RdV75KTdvYmdT2tSxZVUGZOuuwQwe391dpJujd1oa6nNZeOXsXR31aAcYvFYrpOjOXA6qMEtvZRw7hdgx1xCrQj+eAV3Jq4sHiC8LvXZXRrju+9TP023hw/cYOLZcoEnV0scPWrzeHU29RrUouvzwhNUAd5+bPv8TU6OBuQmX+cW7mljto1tOsilzRh8+2bhJnXYd5NYXlil1pN2ZacSbCWJecupXPqSqlhsIOVKSG21hxbe5ogvzpqbcXihrXgUlIadd1qknb2Fqf3XCiJWbtaERTlyd6l+2kUH8i8YcspLi7dkIv9ohWpp29g7WrFzZQ7JG0tnZtaOVoQ0rkBOxfuI6RLQ+YOXSrYzGs7pAW3LtzFwr56yUbGG73Z/Ng2by/NejQqqUf/I3pTw77xp5007xvyTmV5ppaVaT0gsqSd2J/Rm7r4Bb/iDfGPRK/L6uWzl8z4dB5Rn4Vj417rnfPNapqSMCmWOUM+HlTmt1RUUMSsAQsJjPHBrYnzO+frG+sybtMwrp29xbWzN38/4bUUCgUrJq2l3/+6kH7jCamnhbnnDlymoKCQTkOasWLeQbX8ZUuP0q9vY+4UvOD8deEC/1RaOs8K8xncNICfrx6mnGE2iXd30q9uJFayS7zIFy78svLPolQ8oIVZD54/n6Z239Ss+fSsGQ6iF1x9eRlRGV4w5Vk6N19kM7ZRQ2YcP0FROXPWBTuS6BrrS7FSyZlTNwWf6mtXHnD72iP6TWjNyh93qp0qrP52C7FDmqOppflOi2SAxCnrieoXTni3xu+U90bdJsdx4dDlf8QiGWDjTzvIf1VAzMA/50gaNzKaR3ee/OoiuUIV+jdr69w95ObkYu9rw/Zyk/3sxznsXLiXUas+Z+vcvYJFMsCORQepF2hL/bB67FghbAXyPDuXrSuSGPFdPDt2pvD0qXACseXIJZxqV6WBVx2WXTyPqMwQ+KKggIUXzzC7cSSns47xtFDY/unK873U0TWjSZV6FL76CY0y5TMKcknPWUgr86HkF6wnt1hY43s88zQORnrE2Tsw//xpFJqlublFRcw5cYppbcM4lHqL9CfC8otDh69SyVSfiFgf1szeKyifKSooYvVPexg6ozPJh69w99pDQe7RTacxMNEjun8zVk99t/7zSVvPoCWXYmFX/Z0WyQCndpzj8PoT9Pq2MxLJuztqN4wNwMLO/KM+6fw7tWPBPh6nZxI3MvpP5ccMjCTvZd4/YpEMcGRdEhcOX6HbnyzlC+/emBafhrLqT3wHNLU1aT88ilXlFtgKhYKVk9bRf3ZPrp+/rYZxn96ZDEolHUbHsLLc9+f/2DvPgKiurgs/DMPQewepIgiCCjZAEFDEhr2BgKDYTYyJJpZoNGpiicbExMTYo9h7x14Re++i0iyA9N6G78cocBmM+H7mfVNcP9mz514G7pm9z1lrbalUyvpvtzNm8RCePnwmaJIBrh2/RWFeEYNn9mfDd/KSyk0/RjNiVj/SXmQLmmSAqw+fkZ1VwKhBPvxy6ZzA9R/gp9sxzPV2R0X0nMSCW4JYZsl1TCS3+NatLQdTd6GkKGSPrH58ggleHuQql3LhkXCqzp1HKTzKyuSjL7uxYVE0FWKhw/Sm+XsImdAdBQUFQZMMEHflMY9vJ/Lp8pFsnL1D0CQDbJ63i6AJ3VFWlQiaZJDRpe+ee8i4VaPZMHuHHONly/w99P40EC09TbnRpol3n3L9xG0mrPmIjXN21rlJBnj68DkXoq8RNLEHv3yy6p28a1IS0lg+MYrI2SH/kZTPoYUdPcZ0ZvHHK/50A8Wa+K81yq+xYtJ6XNo40bpnyzrnuLRxpH24D4vf8Q/zV8C6WdswtjSkQ4RvnXNsG1sRNKknU7vOQaykSKch7QR2938ES0dzQqf357O2MygtKKJTWGuqd7R9PulEcnI2UyOWMvyjdhjqV2ltzWwNCB3rz8iZmylOLWagWxNEpVW5Ie1deaScRWj0JsbU74SB2KDyrRtoqzO/aTOupoZRWJaOuVYEJRVVxUID7f5YKbxEIWMgrgYTMFfWq4wpic2w0/2cQ8ljsVY+z3wXK+ppZlU2y73qeZCVI6LvnvWMDGyJua0u0ldvbaShxuddfJg4Yztxz9PpOaoNZZrKlf/ZXXq6Qkkp43r9SPC4zlg1tq68ro6+JsO+6c+0Pgu4ez6O4C/7yI2PehO0dNUZ9eMg5oT9xIsnKYRO7VOnPJBRZUb/FMm2hXu5f+nR2xP+Qji78wLXTtxm6NxQufEOb4JYImbE9xGc2hLLlcM33p7wAR/wD8XZXRfZ/sM+hn03EMVq/gitOrvi5t+Ukc0m0iKgMS07NKmMKSkpMuy7UDYvPsLab3cxdHIg4mr2M25+TrQMdGVU+FKaOZjj7WpTVSgqKzBsuC+/X7/Own1nmO7ui2qxYmWz7GFjQR83a8Zcm4eJij311b0rvSbURCVEWnTBsHQRpTmf00RvAtoiKptlPeXmWGkG8iSlAy7qBvQxtkVZJCu6yqSKdDQJYnviXRY+2Mr8bh5oWZRUNsvNzcwY4NiY/t+tx8RcG+/ARlS88ppQkFYwJNiTcwduseCrHYyYE4SKuX5ls2zfxJKu4V585PM1uiY6+A/0FXhNhE7pxaVD1/g2dBEjfxyMhp5mnf8+IVN6c/PMvf/YkDPxTjJRM7YwYmEEeiY6dc7rO74bhbmF/5N5un8nXD50nVNbzzFiQXidNyNEIhFD5oRw9fjtP81U6M/C/YtxbP9xH6N/ikRNq+4spNCpfXj+KIW5YT8z8sdBaOlp1Dk3eFIv7sY+ZHrP7xi+MAJtA63KmLWzJUGTejLWcwoikYjOQ4WHBP0ndOfRtXimdp3L8O/DBc+AZUMzwqb14VPvqZQUyRy1q6PvuK48i3vBpI6zGDK9NwYmVeOFzB3MCP+6H5+HLKHgaRa9ujWrjJWriekyrBWP1QoZ8us2Jrp6YynWqVwDzQ3VWdyxMTuSvqCgLA1Pg66VfjkaikX0NnbHSXKX8qy2LG7kREeTkspmWVdJlyHW3Yg4sYU4cQpBvZtXjo9SKIdgdxcU00r4ePx6gr/tj4VXIxSUZC/QNdZm+JwBfBX0I49uJdPvsy5Vv6xUSqfwNihIKxjj/iVBk3pi7WxZGdY20GL4wghm9FnA7dgHDJgs9HnqOMgPNU0VxrSaTN/xXbFzqzp81NSV+Sp8G/Ijlw/fIPSrvoJc/zAfdE10GNV8Aj0/6YJDC7ta/gtqR9sB3pjaGDF/8C91zqmO4sISFn+yko6D2+LSxrHOeV69WtGotQMrJ6//j677/8V/jXpdEz79PNE21GT34j/e3atuk/53hszC3JYNs/+YltWqixvWzhZsmlvlNurWzgUnTwcZjUVBftblazQPaIJ9K3s2VMtt0saRxm0c2bDgAINn9OX4gZs8vlPF6w8f34nYc49R1lalgVd9Vm+tOq1wcTDD3dWGRcdiGdXXm11Zd7mRXrV7/1kzLy7l3UNHtZhwa1XuZi6pjOkrN8JSow1xmQtx1R+OcdlhJGU3q25W/WMe5MeQWS5BU8WXqxnLquU2xFKjHV/dOU9Ho94cfvSUC0+rTrfHNPXg9t1Uil8UE2Bfn6Vrq2g2dlaGdPBxYuWiIwzs68HtM/e4cabKVKHfqLY8upZA1rN0vLs2Y9XUTZWnzFZO5nSM8GXFhChKi6tMamrC1sUS/7A2At1bdT3OH+3QWTqa0ymyXZ10b39l6BhpEzq1D6vf4kiqZ6pD8OQ3U2Vq4t9MLfyAfw+09DQY+HU/1n69ldY9W1JSXMaRqKp1LCDcB7FEzNl9Vwmb0ps1c/eQlyV7ftS0VIiY3IONvxylRXsXpOoqHNxftQHVtqMLEj1VDl+JY+BgLxYfl43WA1CTSBjbyZMlVy7SwtECHcMSzmRWUcB9DF0xV1PiUd5BIi0DKM+bh1T6ei6lGgbak0jMWYWSckvURGrk5v9e9TupdiYVRzYk38bPKIyVj86QViw7KZaIxIyw68zS29dwlFpjrKDOpiNVetO2zvWx0tQiessVRgZ5s33VGVKey3LFEkUiP2rH/k0XsDHTxtBYkx0/Vfk5tAxojKW9Kdt/3MfQWUHsXBzNs1enzGKxjO55aM1J4m/Ev/HvIRYrMmReKPuXvT8H6yGzQzi17RwP/mAz9LVU6vjGmDoxxz6sjzKoaakxaFYQG77d/odSvtomK/wdUVeH9ZqjhAAUFUUMnh3C4TUn/9BTRSxWJHJuCAeWV2ljZXTpYE5sjkXPWBubxpaC2rSpnzPO3o6sn7Wt1lFCg78JJmbnRdR11GjY0o7131TVv6+14lEztlZeo/oJ9aBZQVw4fAtlLXWc/VxY/3OVd4yjqyXNOzdh2cazhH7elqP3HnE9sao2Hd3endNpSZRplzHQVZVbmVX1pamKPXaarYl5uZJgs0AUig9SVFK1gaKr9Sk70gq4mqWPi3oTvrtWJTVz1jWmq1Zjfvv9NKP9WnH9whOuVzvdDhngwZNzT8h9lIxn56as+rrq97V2Mqd9kCcrpm4maFxnbp2+w7XjVRTwoAk9eHIjgfTnmfgGtRaMvK3u89T38248vPJEMHq37ziZVvz5k1TZeLxJ6yvrS/MGpnQd2YHlE6Po/WkX4m8mCU6oe43tQkrCS2J2VMl5asP7drDuOrIDeVlvl/J1H92R7LQcTtRh9O7fXqNcG5xbN6R5x6ZvFHhXn3n4T4CVkwWdIuX1BK8hMxMp4chaeUq0oBErlc/tN74rZvbm/PjRSrmYvZsN45cN56vBK0hLkf+y+PLXCLLFCsz5KRqpkrARt7I1ZNbHXYg4tpOEkgzhoHbgp3aB2OqkcDxlJpqiQhSrUaaNlIxxN12AOGsEqhW1zGHT+o7UcgnnUidRIFWmvBrBoQIbulh+y9Cz+7n8OF+OSjPXswNGJepMnrcLUVmFgE5oqKPO91P7sPCrHcSdvi93Gj96Rm8MjDSZ1vM72bWqxXUMNZm6fgwzg34g87mQhgivNjIa1RN8WbyGqoYKg2eHsHG2bPZyTbwPDdtfCa+/WA+uPE787SS5eMOWdnh2b1GnWbKv8aEQ/IB/C0QiEZ8uHc6Dy0/Y89thuXi30R3wD2vDuI5z5WQuiBRYeGACp47dY9s2+e/HDj1d6RjUgpCfNlImqqhubI1UCaKG9eNI5n0OZe5FUUEoR+lk4kqYtTvPUzuipFAsoFuLADPD7eQXnSYl50ekNb4Q1FS6oq45nqEXf6GgvILisioqYqlUxOLmwzib+IKl68/LTVHwc7LhowBPxkesoKigFKqN9VOoqGD2LwOJu5nEyonroUJ4z818nYic0ZdxPtPIy5bfkJu1+wv2/HqQ8/vk5TVv0739f/BHHhSVBj4ztpKdVrcm7sP6KMTgbwcQs+OCHI0XqnScf/dN6eoY8GVvHlx6JGiSXsOgnj79v+heOYu4JvpP6EF8Da3ra+iZ6PDlpk+Z0XsB2S9z5OIzd08kNSGNnz5eIRdr2NKOcctHMqHDLDJqqZmmbR9P7stcvh/2m1zMtokVk6LGMCVwTq2SyimbPqUUMQsmyU97qedoxsQlYYxdtYcn2VmCNa5cBb7r3QlNk3zOpE2TW+PqSXTobTWNjPRhFJYJ3amLKhQx01vIgyJbwo7tR1ouZC4Yi7VZ69WP2XP3E3f/BaKyqvVRobyCcZ92QE9Nha97L5CbAa5rqMmcXeP5fugS7p5/SE18vGgwxtaGTOk6Ry6mpa/F/GNf8fOYldyoxdl6xPfhWDqaM7nTt3IxdW01FpycwbLP13L58HW5+JA5oUjLy2ut1V7PRD5RQ4/+PuDZvQXmdiZvnF4UMTOIiweucrsWN/ba8LfXKNeGWzH32L/0CKN/HIyKmnLlz0UiEcO+C+Pq0Zv/mCYZIOFOElEztzJiYQQ6RtqCWNi0vjyLe1FrkwwybcDqqRsZviAcfVMhpWvA5J48vpnEtWO36DqkrSBWv7ElvsHefNZ5Hr0jvTE2E+b2G+VP9KHbXDl2j2BfFwHV2sJGn4CuzgSt2MRQOzesVfQEDetw1+bcKDjFvpR7aCmPIqNcg/JXq5WRxBhfg26oZPREWX0AiGro0tUiKC86hF7pdroYDsBEnI3iKzqhgsgKU83BfHr1BwbZO9ConpagQY9o6Ma528lsunqToPBWFGuKqHj1n2yip0F45+Z8FrkC7/bO2LjZCE7hu4R4cuvsfXYtPUrI1D6gpITCq7iesTYhk3rwVY/59B4jr6XvMrQdmroatTbJAIV5RSz+eAXdR3fEycNeEOs0uC0GZrr/mCYZZKMhfhu3Bo9uzWnRUTgexatXK5w8Hd6pSf6AD/g3QSqVsmDIr6ioS/Do2kwQ8+zeHGU1Zb4b/CtDp/VCXG0MiViiyPDZwSycvBVRaRmtvRoIclt4N0DdXJtpC/Yw2d8b9WLFqhFRyvBpHy8mXz1IQZGUJhotKa+oKgM89Rvgqivi7ItxKGvNIb1cn/JXi68IEfV0pqGcNxc9hQIsNXoIRv6pSLwoFTtz9Nl45rh40lIvs5LCWCoVMciyKzNOxvAiN48Ovg2pqCbna25TDxcTE8ZN30L4Fx1QstIBsey+FCoqiBjhx7rv9vLs4QsCwn0FI6AatayPs6c9X3T4hohvgtAxFn7HhU/vw6bvdqFloCWTMVWDQws7en7S5U/TvW1buBcliZjuozsKfm7tbEnwpJ4sGbu6zk3yB8hj5eT1OHs1xKtXK8HPW3ZyxaNrM34bv+Yf0yQDrP9mG4bmenQc5Cf4uZOHPd1GBrB4zMo3zmzfNHcnWgaa8s9A8/r0+qQLX3WbR+i0vnKSgdCpfdjx4z5uxz6Qo0vbNbXGu7c7n3hNJXhyLwzq6QviwZN6su+3I1w5crPWZ6B9mA9jW0+h92eBcrrV/l905/DaU8RsOkWPMA9BzLyhGQERrRn9yVrCG7tgo6ZVucaVK0N4LxeOFF9he8I97LVCBWucubI+PU3aopIRjJlmODqSqlqtqEKRctWxXMm+TnbRJiY2a4JIVNVkm0p0GGnjSchvm/Hu5YyZm0nleFKF8gp6d2jMzaN32Bt1luBJPSprSwADU22CPuvCJ15T8erZErum1oLfKXB4e+6ce8C2hfvkpHx6JjqETe/LZz7TaNHRVY4u3WlIOx5fT2DD7B2Ef91fENM20GLQrGC+aDudxj6OcrVph0F+PH3wjPP7rhAxM0gQ09CRSQy3Ltjz3ptkkEmRrh6Xl/Kpqisz+qdI9i09Uucm+c/E//RE+TUkKhIiZw9g508HyM/KZ+DX/Vn7DrusfzeIRCIGfxPMqa2xPLmVxNC5Iez8uYou9jYM/iaY2D2XeXjpEUPmhbF/+TESX9mkO7d2oHlAE36ftZ1WnVyxaWLD5kVVNLXwL7tzOfYx9y7HM+jLbkQfu0P8I9lOXsNG5rT2cWDxtljc3G2o72bKkhNVO+Gj/d05nZPAhRfJTPD25m7JCZKLZHQxW3VLPPWb8Th3AS20bWmhYYdCfpWOQVHjY0Sl16DkLGiMp7QwGspe7WyJnVBU7cGptAXkK7ajXDGAqIT9lbk9zTtyPLGAw3ef8nkzb2KuJXA9TkbFtjPWp3dzZ375/RSuRkZ4O1iy+pcqo5z+YZ4k3XnGhf3XCBvbgSvHb3HrtOzBqyu0yKMAACAASURBVGdnTOBgX5ZN2UT9hqZ4dnVjxeSqxq7PZ114/ugFMTsvEja1DzdP3+XacaEhw5vQc0xn0p9lcGrrOQZM7sX9S49kRhf/UHQY5IdIpMCBFcfo8XEnMlOyOVkHqkxNfDgx+YB/I2QSIzX2LT9K4PD2FOQVcXyTTAajqqHC4Bn92LwomnIFEcETuvP7/AMUvCqIfQKbommmx449V+nS3ZUCFQX2xshOHFQkYkYNaMPKmCvkKJcyrLs73988RVaJLLezlQNWhhJOZUbT2bQ5NmoZ5BZGASBCQhODMeTkLUVP4Tn1tCegVLAEpK/GiCj7U6BgypOcpair9SO3QpsLGUcqc1saDmfPi7OcTtUk2KwbP527SGqhTKbRzrI+DmoGRO2+TBdnB7SVlNm3XXbSJRaLGBHShujom2TeTWHwMF+2LjrIy1dU7Ga+DanvZM6mebtp080NHUNNdv50QHZdkYjIWf05tiGGxDvJDJ0dzLYf9vIiXvYd59bOBUf3BqybtQ2vXq0wtvr/uQrXFS5ejjTv2IRVUzbSqrMbto2t2DDn3czC4MP6+Cb49vNE21CLXYujZSOOyqQcWv3nz1f9X6E6O61NH3f0zfTYsWj/2xMB17YuNGotk/K17tkSE2sjwTMQOTuEM9vP8+h6PEPmhLDn10OVNO7qo7U8ujannoMZW+ZXmYUN+iaY83sv8+DiI4bMDeXAimMk3JGxzRp5OtCykyurpm6kZSdXbJtYsXFOlVlY+Nf9uXL0BrfP3JejcTds1QDvsLas/Okobl4NqO9lx++bz1XmRgzw5NzL58SkJ/NJsDtHU69xJ1t2z07apgyyt+Z+1kJs1Bvho22OZmG10231UWQVX+B5wSlEGrO4n3uOtCLZ+qknsaNCPJAJp2Nx07HCV6s+v+ytkicO9W3Bk9tp3Ii+z9D+Hlw+fIs7l+MBsKhvRKc+zVk+cR0NmlrRMqAxqyavq8yVMWafErvnMgOn9eX6idtcPyGjYldnkNZvbIV3b3eWT6rKrc5UCZ3ahztn73PlqEzaaGpjTM+xnVk+YR2WDc3wC/aSjR58RePu8XEnMl9kc3LLWYJfjV17zVAwsjCg7+fdWDFxHSa2xv81RkZ1KZ+mvgY9x3R+J0ft1/hHUq9rYuySYegYazOzz/dyDnD/RAyaFYRDCzu+7j3/jbuAb0LYV31w8XZket8f5HbCjSwNmLjmI45tv8iB30/L5fb/rBNubRyZMW0XOTVs2vUNNJg8szd7n8QRdVHeeCm8TTN8HWz4JmkFYnEKompUa22xJuMdIjEo34BG8e+IahAWRGoRiJQ7UJb9CVTq3l4H9VDQXsSRzMesjj9daSjzGn6GbWmu4sEXG6NJy8wTnGxrqUj4cUAgN84nsvmXE9TkKXYKbEL7AGfmj1xBSvxLQUxVU4Wpq0dwN/ZBrRIA/zBvOg9uy4Ihv1Z+WdQVvv1b0210B34Y/tt70739leHWvjEDv+rLsglR//Eu4IdC8AP+rWji24hBswawavpmbp6Rf34mrBqJoqoyc8bKG5o0amlL+NTuLN96lou3E6mxfDJlVEdERhJGnd2JVCRcH92MTZnn5cH97KVkFp1GqQYnupXhZAyU1FDP+RQQxsoVG1Gs+SUXMzaTkHeG0gqh62tLw3EUSu0I3RVNaZnwuk66RnzTyp+tWy5x4vxDROXC+McRflgb6/JNxFJKC4QFk5W9MR/P6sOun6M5ue28HMUxclZ/6rtYMb3XPIoLhbn17E0Zt3QEe5Ye5tg6+e/HPwtGFgZMjBrD0XWn2bdUnmpfF3xYH9+MRp4ODJ0Xypqvt/wrTCOtnOrxyZJh7F58kBObYt4p17yBKeOWj2TfssMcjZJ/BsJn9MfR3Z6ve30nV5ua2hjz+epRHFp9QjDi7jVCp/ahsY8TM/oskPMvMbQwYOLajzm+IYa9v8n7DgVN6EGzgCbM7Pc9OelC538DS0Mm7vyCk2cfsnWf/EjOvn1a0KKDHV9c30BmaZ7wntVV2OTZDuXiQygVrkZRQVibSlVDyZV05uCzWeRWG48HUFxhjJv2fM7dSmL58UvUYHHTr4ULPRwcmP9RFC+ThbnqGsp8uWgAN47dJmqmPH284yA/AsJ9+S5iMc+fpAhiqhoqTNv2OfcuPKy1Nm0X6k2Xoe1rrU1V1JSZtn08j64lsHxilFyub//WdB/dgR9GLKvcyHgNiYqEadvGkXT/GUs++10u98+CWKzIlC3jyE7NZuFweZp+XfCPpF5XR6vObryIT+XSwev4BXv+r2/nT4eThz0oKHBo9QnaD/R5p1yHFnay4ezLjtIhvI1cvEOEL5sW7MWqgTEmlkIqTP0mlmga6rB34zk6tnNEocYA+g7d3Yg6cBk7ZR3qa+sKYnbm+uiZqbIi7hIeqr5kl6gKGtoAE3eScn8nTaEhOQrWSKs5s6Joh6LYAoWCVSip9UVUQ9tWrtKDq1lbsVIR0URLX9CA64rNUS+34bfb5+nu50ipeoWAit3L1ZmdB6+jpqGMbVMLgQOqibEW9a0N2bzkGAEDfVBQlgiuGxDkQfTqEyiKFXH0cBDEDMz1cGhen/Wzt9M+3Ffuc/4j6Jno4OLdkHWztuIf9m5/378jVDVU8OjWgtVfbcKnnwdiifjtSR/wAR8AyIoTr17urJq6Ea+uzVBSVhLEvXq0IO5mEnfPxdGmo3DcoFhFQutuzfj956O0dbJGQyqi2vKJVws7HmRlcvleMt1MGoG0an1UUlKgr6MtSx8dRKrQjbgiO0Gza6nmgaL0EQVFx8mXtBdct7wCilQ6kpo1n8aazlgplwuabENVD54USDmZeo++Te2gWoOuKFWgt0Ujft0XS2N3a5Qt1JBWo5e7OVtSmFXImeibtO3vAYrCUqVtdzei5u3CxccJHTN9AcXRubUDZSXlHF1/mvYDfeU+a//QNkR9sxUnd3v0zXTl4n8WOgzyY+PcnVg3ssC0vvF/7br/BoglYnz6ebB66iY8urVAVUPlf31Lfzr8w3yImrEVF++G7+SwDtB+oA/rvtmGYyt7Obq0k4c9iooiolccpUOEn1xuQIQvG2Zvp76rjRxd2r6ZLSrqyuz77Qjtw+Xrng7hPmyatwsrp3pyz4BdU2u0DDTZ9XO03JQYBbGYjh8FsuPX41iqqmBjIJQuWtkZom2txbpDV+ls2FJQlyorlfFxQyuOph3mVpkzCRXWlFfzOCgXWVMgMqMg92dcddsK9MzZ5WpIGcS6uEto1VPCtqEB1VjcWGpr46imx8aNsfgHu1NRfZ2qqMA/sAn7Vp5AVUcdB4+Ggns2tjKkvqsNG+bsqPWzCgj35eDq44gURXJ0aQNzPRxb2bP+m20E1JLrP9CHo1GnKCstw8VL6C79ujZdO2Mr7cPk+4d2od6c3BxLfnYhTf2c5eJ/FnyDvbgUfZUX8am06uz2X7tuXfCXOFHuPMSfstIyDv1+AgCPrs2xdDRn07zataB/d/j09UTPVKeSKuPSxpFm7Zu80dSsOrx6tcLY2pBtC2XjK5w87PHo2owVX25CSUWJobMHsHvpEZ7GyXanwqb04ua5OG7EPMC9iyuWzlZsWSKjJts3scSrY2OWrTiFSF3CsFHt2B57hydJMmrdoD4enM96QWxcIl6NbbBtqMfiGzK6i5O+ET3rO7ElfTPGqrkMsOpFYdFGCsruAuCsG4FFxSkUS0+hrtwOsaQpvKZii+1BpRflufPIqyhERXMy57JOkFwUD0Aj3YGcyyrgbPpdLFWbYERTFl6QXbe+ti6hjq4s2HMGsir4rENrYk4/5P5N2Y5acLfmpDzKIPboHZo416N5E0vWzJPRikyt9Oke7s3Kmdspzi4g/MvuXDxwjVtnZPfc6+OOpCWmc3r7ORxbNcC9i2ulxtbYypA+4wJZMeHtw9IdWtjh3bsVyyfKqDIG9fTpP6EHKyete2fmwN8Br4fQL5+4npKiEtS01Ij8Npj139ZuavZH+HBi8gH/NhhbGdJnfHdWTFpHUUEJKmoSImeHsOXH/bxMzqDbyABycwo5sV3m1+HdvRn6lkbs+v00+mZ69B0TwMolxygsKEEiETPk43ZsPHSN+Pw8erZvQo64jJ23ZGucv3N9jCy1WPrgIoZaqkzwaM6GpF3klRUiVhAz1LYrj/O2Ya50FgetbmiKcqgolK1j6ioBaEsaIClYhVSkS6naRyRkz0cqzQLEmOhM5mH2bm4U5GKj2ZUXxXosi7sHgLu+A+bKVvxw7gpaiipMdGnD0p3nycgrQCSCTwPbEH36DknXU+js5YSqSET0Gtma7+ZeHycnMzYs2I+aujIRn3Vg4/w9pD/PQiQSMeirXpzafoH75x/g188DLV0Ndv4so2I39WtE4zZOrJm+Sfa5zglly7xdpCbJmEUyGdMl7p6TN9Z5XxBLxAybF8quxVVOxAOn9xNQLeuKD+ujPPTNdAma1KvSjE2iImHo3FC2L9rH80cpb3+Dvxlqfr++dqY+ve18raZm1aGipkzknBC2fLdb8Ayc23uZO7EPaNPXA31T3aratJpkoLbPNWJmEJcPXufmmbu07tESU1tjtn4vM2Zq2KoBrXu0ZMWkdZVu3HuXHCLpvkw2N3B6P66fvM3147dxD2yOlVNVzW/fzBaffp6smLQekViRYb+M4OCWCyQ8lF13wEf+3HyWSez9JFq1sMHS1ZTfTspkgg3NDOnob8/8uwfRUCthfvOWPMk9SEqxTGPradAfK4UjmJbHIJJ4ky9uRFrOQgAkYgekqpGcTfuNl2Vq6KtMYcv9OG5mymSRwx3deRSfS8zZx7Syqkdrk3pELTkJgIWFHr0CGrN89j7KCosZ9FE72dpyQeZ63/vjDjx/+IwzW2Nx8ZIZGa+aIqv5TW2M6PVJF5ZNiKKkqIRB3wRz6cA1br6qTXuO6Uz680xObYnF0V1W87+uTY0sDOj7RXdWTIiiqKCYgdP7cePknUqZYLfRHcnNyOP4hjOCz1UqlaJvpsuAyb1YMVn27IR91YfbsQ8qGRmBw9tTlF8kmMjwZ6D/F91JvPu00pOqwyA/FMWK7F925C2ZQvxjqdc1+fWvYdfUmnYh3iyrNoLnn4Cen3TmZXI6p7cJrdhljVhXVkx8cyPWfXRHstNzObFJqP00qKdHyOReVIhELJ+8Ua4ZCxzWDmcPey7HPuHYbqHjoa6hJoMndaVQQ4mfo06Rly+8dld/F1ydLThclMiWJzcEJ7l6KqpMbulDA4MU7mTMp7xCqCmvrxmIiWoLjMoPo1ZSc9NDC6nmBJ6VK3M+bQlFUmFDZavZGQNVD9Y9KuH3K8JiQlMi4cvmfmjkiFm28jTpGUKaTXuvhng2s+V+zBP2Lz0mcL1WUZMwdHI3lCUKrJqyidREIRW7Te9WuPo6EX8riZ0/CTU/EhUJQ+eEsP2HfXI0mdd4k+6ttrEN/wQ09XPGpY0ja7+WpxVFzg7hzI4L3L9Q9yL0QyH4Af8mtOnjjm0TG1ZP2ywXi5jZH1M7U/atOsnt88IRQ44tbOk6xI/UrGJWLjshlxs2zBdDZwM2X73N+cfJglijesaEe7uSrJzF1pRtKNSgWodaB9BKV4Jy0XJKS04KYhKxMzpaIykpS+NF9jeA8LtZR/MTMmhJVPxDYl8K3WRt1I0JsW7Ls/RyfloTQ1mZMHewX3Oc9PU5s+0a508Kcy2s9AkZ6kPuyzyWfb5GbgRf71EB1G9swclNMZzdJTQANa1vTP/Pu1FaWFJZiFZHr0+68PJpOqe2nuN9w6CePkETerCilk3SwBEBFOUVvlMR+mF9FKJ6M1YTNRuGfwIsHMzoOjKApV/Ij6H8I4d1AFNbY3qO6VS5oV0dPcd0xtLRnKvHbnFqS6wgZmRhwOBvgynMK+K3cWvk6tNuozvQyLMh5/Zelhv1o2+my5DZoZQUl7Bk3BoKcwsF8cDh7XHxduJi9BW550DHSJsh80KpUFZhxdx95OUIn58OQe44BDoRk5DIjstCF2hdNRU+C/RGzSyfW1mLKK0Q1pcuOu1pptUAaclJCgqE1GSRgjZa2l9zLd+GybExpBcJ77m7hQvtlRtwLzaBPXuEFHA1VQkjh/mhUlbOykkb5A4KfHo2x71TU+7E3GPX4mhBTEVNwrDvBqKmqcLKyRsqNzJeo00fd1r3aMm9C3FyenSJioQRC8JQ01bn92mb5DaIWvdsSZve7jy88qRyI+M1xBIxw78LQ0lZiW0L91ZuZLxGzU2M9wmRSMTQeaEcjTpF3LV4QcytfWOc3O1lY3HriH8c9VosETNyYQTHN8bINckAcdfi2Th3F6MXvduw9L8yBn87gLvnHso1yQApCWks+yKKyNkhmNrI07IGzQoi7lq8XJMM8DI5g18+/Z3SgmL0TLTl4nrGOjyNf4mujrKcftfQXI+s3GJKUvMx1FCXy9XX0+BRdhYWheooFIsE2mATDQ0KFXO4maVCkUL9Ssfr11AR61NSHsczrMiWChebUkUjnpflU1qeiZaSkPoDIBIZE/tSirmGCgoqQr26kZIGpZnlpOcXomemKafHM9RR5/mDNPT0NaiQKAlcr3UNNSkpKCb9eTZGloYCyh6AvokOlw/fkGuSAUqKSlg8dhXtw31o7OMkF+8+uiNiJcVazWHKSsr49dPV+AW1xq2di1z87wj/MB/q2ZvW2iQDrJi0jkae9nj3dv8v39kHfMBfH37BXlg5W6KurYqKmlASoqqhjLqOOk/vP8XAVJ5WqW+ux/PkTFTFoKYoXMOUVJVQM1Tn2eNMzCQaAho2gImuBo8LslAtVSErx0jgCCtRUMRURYlH+Vm8qHCkpKKGz4TYnNzSpxSiQSEGglhRhTIvK6xJKEjHWkNZIJ8B0FfWIy49H3GpGFVjFUH1oQgYSlR5Gp+BjoUe1PidDE11SEvOgLIydEyF3xciFNAx1CT53lMM6gnvCcConj7pzzJY/MnKWs1htv+4DwUFET3HdJaL/X/w2on4549X1Mok2rvkEPnZhfT/ovt7ve6/BW36uOPkYV9rkwywZvpm6tmb4h/q/V++sz8Hbu0b49PPk1/GrpZrkuGVw7qykpy7NMj8D/zDfPhl7Opan4Edi/Zz9dhN9E3lpQiGFvq8fJpBWUkZurWsRXomuiTdf1or/dvQwoD0F5kU5hVjUIvMQc9Ul8QHT9E305OLGVnok5NVQEFaNvqGwh6gQqyItpU+KXdSMZKoy61xhroaZCgUkZSqSHJxI0orhCOeVBQNuJOfS76CpdwaV6BgwZU8bdKLCrDWUaf6m0tLRZjn6ZDwLB1tE/na00BXnbK0PDLjUzEyr/H7SqXom+qS9PA5erX8vrpGOpSXlpGWnC5HaQfQN9Mj6eEzdI3la3wdQy3KyytIS0zDyEJ+DdQ31SXpwTN0jLUF7tIA2gaaIBKx9PO1ck0ywLm9l7h86DrDvhsol/v/gbaBFqMXDWLjnJ1yTTLAlcM3OLn5LKN+iPifS/n+JyfK+uZ6BE3sWScqqkgkqnWQ+d8JalpqDP4mmA1vmK9bEwOn9+Pa8VvcOHlHRpWZGyqgyvwRQqb05u7Fx1w9fhtlVWUiZ/Zj5/ITvEhIw9bFgrZ93Vm14BBSKvDs2BijBiZsWyfbSQ8e7M2ttAzOX49HUU2RkQPasP7yTRJeZmFnqk/3Vo2Ycf8kpeIy2lnXx8Vcnah42S5guK03ZqoxPC+MQU+xBFeD0aTkbaaw9CHqYhsstfqhU/AV2iIxZUpeJCk04n7WagBstCJ4WfqC+Lwz5Jar4W44gsVxiVxLz8RCTY9+Vu58HRtDUQF4m1rTUqkeK/bKNhtCfFxJf5rDqZgHiKUwYoA3p/fe4vG1JIxNtekd6sHqufspzs6ncStbnF2tWPfKabHbED+yUrM5uTmWiooKBs/oR8yOC9w7/0D+g62BwBHtKcgu5Nh62e8/aGYQF6OvcSvm3ltzOw/xp7SklMNrTr71tX9V9P+iO/F3kjm/9/JbX+vbzxMdY+1KZ9o/wocTkw/4N6D3p4E8f5LK2V0XkahIGDJnADsWRfP8SSpmDUzo+VEnlk/ZRElRCa27NcPEzpQdvx4BRUV6DG1LekY+Zw7cRCwREzkxkN27r5L8IgdDcx16RbRmybpTFBWV0bpFfUwcDVgRcxmpEgS1bkI6Bex6ch+xSMQET292pF+gSCkOExV1Btv6Ev0iimJpEY6aTfHQ0USaPwclBSmGGiHkSUt4knsAENFAdzxZ+VtRLL9BhYIxaExlxZNoCqQFOGk6Y6zSkN/iTlFarkgnE3dy8sVsP/MQETCujReHrj/k4f1UdJVV+KitB2tXnCI7pwi3JpY0bWjO+p9lbKCAzk0QU8HBlbL1MmJCIOeir3P37D00tFQZOLkHUTO3kpWag7OXA838XVg9dRMA/iHeSFTF7F/6dgqfTMbUnBWT5c3S3hXv4kRs19SatiHeLK8De+7D+ihDzzGdyXiexcktb5+s8E+Q8gWE+6KopMiB5Uff+trqdGkA/1BvVNRV2FvLrPaaqHlC79vfEy19TXb/chAQSgZU1JQZPHsA277fS0pCGvbNbGnTz5OVr2i93r1bYWCuX/kMhEzpzd3YB1w5erNqzfvpAM8fpbx6BtqwfEIUUqkUz+4tMGtowfafZdcNGhfI4/gMLp15iKKqhEFTurFn91WSktKxtjbEL7wZ3+87Q7FEio+TDVY2uvx64yIAw11bUK59G2nFAZQVFPA2iuRS5hHSipPQl5jTw7gVWTlfU1RRjpaKH3dKurDovqy+7G/ZhnsZ+eyLfwQlikyx8efwsbs8SErD3FCbUK+mLFt6gvK8Epo3scLFUp+oqTJKdI+RAaQ/z+T07ssglRI5ox+nt5/nwdV4DC306fNRB1ZMXEtRQQlNfJxo3MaJtTNkhw6V7NGNMpO26vT411KD1/2Tc2sZjfu1dDNweHsK84o4+sqosDo9vrq7dF5WPg1bNcCzW/M6jfHUNtAibFpf1kzbRE4NFue7wraxFf5hPpV/7z+CmpYag74JZmMd+qd/DPXaycMe98Bm7zxfNWhCD57cTqpTYf5XgoWDGYEjAlg2QZ4q80foOrIDyqoSjCz1WT5pwzvZpHce0g51HTWMbU1ZNXM7RdUcQ7X0NQid0I2X6YW8yCrgxCEhrblDt6Zo66qj4WLIj/tjKCiulqsqYXRga54oZpOjksqhF8Kh913MXTFQ1sDPuJDk7PlUSKuo2GKRBva6Y9CreERySR7xefsEuabqXVBQrEdCkSs/3jlJdlmVk7eaooSPHAKISyuiMKmUPTV0XQGu9ljqalFPpMaGn46RlVHltChRFjNkjD8vE9IpSMtm/8pjglyvrs2oZ2eCrqE6G77Z9k6aWo9uzbFuZIGeqa5A91YXtOriho2LpWA8wt8B/+nGVSNPB1p1cXvrc/+hEPyAfzLEYkUivgnm1JZYHlwWzqUMm9aXgvxi1LXUWDtLOG/dobktXj1aoKAsIfbIHe5dTRTEg8e0p1ikiMRYk+U1HHDtbA1p7+NErnYFR1Mfc/GF8NRgVItWSDUKcNQv5UiqkIZoqmKBu54PaoqZUHKEnGIhPdlKaygiSsmusGJp/EGBgaOxsiltDP15mKHE+dsviYkX3vOQ5s0QlYJZuTorfjlG9XrJ3FSH3l3dyE/LJ+7UPS4dF1Ire0T6oChSQFdPjRUTogQ0bmMrA/qM7UJmahZxVx6/U83w2k9i9ZQN5Gf/Z3OVq48GrCu0DbQYOL0vv3/1x0Xoh/VR2DTUFXZNrWkX2oZlX7y9MP+rIXhSTx5fT+D8/itvf/ErvB7zk/kiiyc3Eyu1n3WBvpkuwZN6kf48k8S7yXJU7sDh7VHVUsWwnr7cCJ/XjVj6swyexr2Qo3F3imyLhq4GRhYGrzwZqmjcrxux9JQcUpMzOL5F+PwEhHqhY22Cvp0xK5afoCC/6roaGioMHubLA/UCnpHDjgd3Bbk97R1xtSvFXlOZoylRFEmr1YgiFdoaRXA3u4S0oiIOvLgoyG1n3BR1TDDN12flxrNkVTvcU5GIGdPLm5y7L8l/8JQDq08Icr17tMDczhh9Ex3Wz91FZmpO1XVVJETO7EtqQhqF2flyGxmte7bEyqkeuia6bJq7k5fJ6ZWx11K+l0/TKS4sYffig4LcVoHNaPDKHG3r93sFEkOxWJEhc0NIf55JWUl5nceKQVX9d2z9aeKuxtc5r+a9WTeyYNPcd6t9I2eHELPzAvfOv1nK94+gXrfp64FDC7t3bpIBNs7diaauBp2H+v8Jd/bn4DVV5tdPa6fK/BH2/HqQrLRs0pIzKCn8Y/Oomki695RGrR1JT3pJUZ4wNyc9j4LcIho2rkdCXKpcbmLCSxzcLMmPz5HPLSwhp7CIZrpm3M/MrMni5kleKq569biSqU5ysYjyaoLmMmkeheVZPFPwJ7n4hSAGkFacSBHe5JQWkScVFgoF5SW8KMynhY4FCc8z5eguj56l09jEmMKCEjJq6GdKistIT8nBydWSpDh5bXD8nSQaNLWgpKCE9OfvNrc7/lYiJtaGLPt87Ts1yQDn913h/L6rDJ8/ELFY8e0JfwG8pspsmrvrndkdt8/eZ8+Sw4z+KfJf4Uj6AR9QExo66nzy2zB0DLVIuic/Lu75oxc4e9jz9IH8OpV47xn6ZvroG2qReE+eHvcsMR0nl3o8T84QyGMAkl5koqGrhpWaFgnxWXLx+KxMmmhacy87nzKpcC1KK0pBLFJDQaEBV3PzBTRtgNzSRMrEPtzMLRZOOQCeF2aSXaSFtaoJd/NTqbHk8yQjg2bmZqQ8z5b7LklNzUFcXoGtpT7xiRkC+QxA8uNUnFrYkJKQRlmN5LSkDKTlUuo3tiT+lnD0yduQ8SyTsuJSPvl1KOYN3r3Gipwdwv2Lce+sd85+mcPiMasIntwL28ZW73zdfwNUNVQY/VMku3899E5NMryS5c6CEwAAIABJREFU8s3ZyehFg9A20PqT7vD9QixWZMSCcGL3XH6nJhkgNekly76IwtjakPjb7/YMpD/LpKSwBPtmtiTeSZaLJ9xNxtG9AWlJ6XIHOFmp2RTlF9KgmS0Jt+VzE+8+xcmjARkvMuW0ztkvc8jLzsfe1YqEWq6b+PAFDZ3NyX6ZJ2iSAfIKi8koKqaFlgkJCdlya9zDzAyMKhx5nA/55UIZYE5ZOTcyFbFUbsDdrHS50aT3c17iomxBYVaxoEkGKC4sIzchBycnc5KeZkMNanL83WQauFpRlF8kaJJBJuVLS0zDqVX9WinP8beSaOBmQ1lRiaBJBpmULzXxJY4e9iTX8n2QeDuZ+k2tkEor5EZWlZWV8yI+DUd3e5IfyOf+EaRSKS+epNLv8x60Cmz2Trkg22TR1NV45yYZZFI+Jw972vT570v5FKdPn/5e3ujrr7/WAj4DsKQBYgXheIueYzpTmFvIwVrmrtUVj28koKmrjn+YDzdO3nl7wv8QARF+aOppsP2HfW9/8Rvw+EYCJUWl9P40kGtHb9Z89muFb39PTOqbsnTCOvJyCuk7piPXT9+ngldGVjP7sXtNDAfWnaVDN1fUddV4lpAOCgp4t3fC3NGUX5YcIzu7gMgOLTn3OJlyEShLxIzv2YaomzfYeOUmXes1RktLjbjcDEQiKW1NnHDRNWRx3E7SinNw1Ysgo/gSaooFSCtUcdT/nKNpFzibcRBz9QB0lHTILX0CCqCj4k9iaRcW3N/Ls6J0htm151LGY8qkFZSXKTG2YSd2xMazPuY6bV3qY6arxaPnsoXDq6E1rU3M+HnhIZKSMhg0zJdbt5IpKyxFERg6tj2xe66ya8lRWvg7Y1bfmPhXC7hrG0ea+TXip49WEn87mchvg7kV84DS4ref3jfxccKjWwt+G7+G8v9wGHtWajYPLz1iyNxQ7l94RPFb3LT/l7Brak3XkQEyM4/8/8y5uyCngGvHbjFkTghP416QW8vJSRmlJCLbMRw7dmyejo7Ogv/Xjf9F8Lb18QP+2bBysqDX2M78+slqzu27QuS3A3j+KKXyGeg7vhvpz7KImrUdE2tDPAKbceeVE3O9Bib0+7wbv0xYT+zeKwyc0JW055nkZBWCSIFeQ3zJLihh3ZITGGqr0cbXiRt3n4KCAiZm2oQGe7Jg60mOXHrAR36epOcWklqWDyKIaOpKrkIRC2+dRgVtPExb8Dj/HiJAX6JHgElfNiVt5lLGRTwMQ3hZVooqCZSjiLlWCE+KdfntySFUROq01m/N/dz7KChUoCYyoI1+KDNPn2NH3B1GubYir6KE1Ox8FCpgQOPGKBcqsnzVGSQSRboGNObatURQAD1tNYYP8CLquwMc3X2VvkPaUCqFtFfTGDr0b4VESZGVX25ApCgicGg7rp24DQoKaOlqEPltEFEztnDo9xP0HtsFaUUFqQlpb/0baeioM3ReGBtm7+DwmpOVnhPPn8hvKNeEqoYKIxaEs+37PbUW+XVBRUUFlw9dp0OEH+q66rVumPxb10fzBqYETezB0s/XkpeZX9tbvBXFBcVcir5O+Nf9yHyRRWbKu22M/zehY6RN5OwBrJm+Wc5wtK4oLyvn3J7L9PqkCxUVFaTU4RlQ01Jj2PyBbJ63k+iVx+g2qoPgGWg7wBvDevos+yKKkoJien/WlWtHb1FRUYGqhgrD5w9k28J9HFh+lM5D2qGqrsKzRzLHaJ9+npjWN2Hp+LXkZRXQ/4vuXD92C6m0AhU1ZYbND2f3LwfZt+wI/iGt0dTXlE1vEYnw6t4cK2crln69nazkdEJGtefa1XikFSBRVWLoJ+3ZdfQmOw9dp6ujPbramjzMTwcFCLCxw9nYiK/PHicutYR+jp15mHsXRYVSyiuUaaL1CZse3mHd48u0M3XGQEWLpMIUisvFNNd1okGxI99tPElSVjYjO3tw5UEyZVIpkgoR4zt5cmb7VXZtOId7BxfMbIyJv5kAFRU083fG1ceJxeOiSLz/nEFf9eFW7APKSspkTuXTexO74zw7Fh2gRYem1HMw58lNGevGta0zLTq58tNHK3hyM5HBs0O4c/YBpcWlAAyZHcKl6Gts/2EfTdu5YONsxePr8YBsik7rni1ZNGo5Dy8/IXL2AO6ff1g5T37QN8HcOHGbrd/vxcXbEXs3W+KuPqnT/1TEzCDunH3AtoV7cWzVAEf3BjyswYx6EwZO78fDK084u+vi21/8Btw99xDrRpa4+bvUerL8Z62P/xXq9eBvB3Buz6V33gV8E16Po6nN+e+vgOBJPYm7+oSL0dfe/uI64DWdZc20TeT8wZdE70+7kJKYQUw1108tPQ1Cp/bm2NbztAvxZuW3uygpqvrM/Pu0RKwsRmKoTUpRCSdPVWls1dQkDBnkw9b7d+no24gFR89QWFaVG+jcEE1lCYrmxVQoZnA8rcoBUE0kIbJ+FyrK1mCh1Y2DL6IokVY1WM5arVEXa6OrmM35LGP2PLteGVMWKTG0fhe2x9+io4YHiw7HkFNt57JDQztMtDUpzipBObWcw7urcsViEcOH+nFy73UC/ByJmrdXQGVzD3DBzMaQnJc5iMrLBZofsURM5Kwg9i87QuLdN+/C+od41VnzUxeIRCIi54RwfMOZOi9Y/038GRqvsK/6cvP0XTlH0g/Uwg/4p6FFx6Y0cLNl/bdCOnXIlN7cOx+HW0ATjm+IERia2Lla49e/NVdP3KahhwPr5wmdSoPGd+HRvRQa+zXizJHbPLhddTJg3cCY9t1dibmVhKOHFUv2CU83wzs151ZxBo2dTDj6/AFX0qpy7bT1CW7QhBuFV2hvZsbOp8J7DjDuiJLCffQkDTmd/oT7uVXFirGyIe2N23Ex4zJmEndmnBRSNiOdm/EsMw8XsRG3LiVxudoaa2qgxYCOzTh25h5+Da1ZM3u/gCLbbYA7WWk5mJtpcy/mHleOVclvDMx16Te2M8c3x+LZxY0VE4X02pp+ErXBysmCjoP9WDFxHWXVNj47D/WnpKiUI2vf7CfxR07E/yn8w3yQqCjJjUf5N66Pbu1caNS6YaV+833gryzls3Ozxa9/1Qif94HAEQEU5hZW6lZrg6WjOZ0i28k9A52GtKOspBwdIy2S7z8T0Li1DbQI/aoPh9eeot0ALzmJYYcIX0QiEapaqqQkpAlo3Bo66oTP6M+RtadoF+ot58btH+qNipYGSprqZL7M5fSeqlN1NS0Vwid05fCph/j2cWPJ+jMUvmoiQTb5BAdVyjWkZJcUsSuuWl0rFvNFqzZcKT5BawNP5l49RV5Z1XU7mTtiqqlG3lMlpJnl7LlSReNWEYsZ27k10TF36d2wIVHzowVu3J7tnDDVVSXvRToVFRUcWlv1eYslYobM7MexjWfxD/Zg7fQtZL+sOmX26Nqceg5mZKXmIJYI9ehisSKRswdwcmss7UJ92PDNNjJeZFXGW3Rsil1TG1ISX6KmpcreJYcqY6/ry5gd5/EL9mLTvF2CE2q39o1xbNWAdbO28SaoqCkTOTuErd/vEWy4NPVzprGPE2umy09teI2aevT3gTdJeP+W1GtVDRVGLxrM7sXR761JBnj68Dmrpmxk+IJwuWHp/0tUUmV2X3pvTTLITh6XfLqa4Mm9sG5kUetrPvllCBYNzQVNMkBORh5n91xi1HcDOLL5vKBJBjiy9QLN/RyxszPi1AmhrqOgoITjZ+7xZa+27Ll6V9AkA+y9dY+W1vVoKrFlV9JdAWWlQFrC4RdXcdD5ilNplwVNMsCtnBjMVR0ooiNbE28LcoulpexLvsYX9j04eOuBoEkGOHgvDgcDfdo2sCU6+qaAil1WJuVA9A1Gf9aR2Oibcnqvc4duYmZrgFeXphz6XVj8lJWUEb36OKN/iMCtfePaPmb6jutKXlbhe2uSQUZnWfbFWtz8G+PRtfl7e9/3gcDh7VHXVn3vRihrZ2yROZKG+bzX9/2AD/groVNkO/RNdeWaZIB1s7bRsFUD0hLT5Fw/467G8/JpOqGTe7JnqbyBz55lxwj6uD3Z6bmCJhkg/mEKTxPTiQzzYsf+q3KOsFtO3GB4q+YU5pZyJUV4ahmXnc6DrJdEWHbl1/s3KKtBtT6SegJbjRDiC7S5myMcWZVSnMajvCS6m4aw7KI842vdrRuEO7qiXCLi0j3hqevzlzlcf/CUMSG+7Ft/Xq5B2L/5Ip36tkRNVYkrNb6nXj7N5Nrpe4yYF8KBlcfkaNzRy4/iF9SafuO7yd0TQPMOTWndvTm/jV8jaBAA9i87Qm56LkETetSa69bO5Q+diP9THFl7khePUwj7qu97e8+/I/zDfDCxNX6vTTJUSfkCh7d/r+/7/4Vn9xa4tnVmWR1Mjt4Fe5ccoiCnkL5/8AyM+mEQ0SuPyT0DB1cep00/D0xsjOS0ztkvc4jdfZGPfxrMwVXH5Z6Bg6tP4N61GdbOFnJa57ysfM5sP89HP0dyeM1JORr3kajTuPo2xKGppaBJBijIKeLUrit8/FkAR4/cpqhG7uEz92itZYa7viW7H94X5paVsevBPYaaDmDrjcfklpQK4nsT7+MotcLXzIo9l4VrTVFZGXsu3mFy77acjb5JXg0qduyR21g0MMYjsJmgSQZZfXlozUlGfx/Gud0XBU0yQOyeS5jYGOHTz4ODK4XM27Kycg6sPMaoHwdx+eBVQZMMcDH6GjrG2viHtSG6huGbVCpl/7IjjPw+gmvHbsnRuK8cvoG6phoT146pVQZoYm1E5OwBLJsQJcdKuHb8FofXnmTUDxFIVCRyuYYW+gydF8qqKRvf60zzO7EP2P3rof+alO9Pa5TNG5gSMTOI38av4eXTjLcnvCMK84pY/PEKuo0MwMnD/r2//7tCx0ibkT9EEDXz/9g7z4Corq4LP4zDCIiIFBERqYIgHQRFehVEBBQEQQVFscRuLLH3FmOMMdHYW7D33rBhr4C9d8UCIigqwvdjdOAymMS81nysn2z2vXcY5sze56y91ooPngn5JygoeMOMPguoH+KAS5C9zBtYVV2FLr+0ZeGIFaz6eSNJ41siFhe/rb5xbtQ0r0F3r5HY1jPExb+uLFdZTYlOo6P4bcxGlvy+i66t3VEUFXed3r6WGNapTuIPf+KurEuAqQnvLDeVFcUMbOTF+H37mLQvle46zXn5qpKs4fXQtsVI2ZjofX/w+nU9DFR8yS+U0qmKCpUJqN6ekelHGZe2jS6m4VQoUpblumjYYvzGioj5yZhU1yTYxlzWDFdExA/+niSvOMak6Tvo1tUP5SpKsngDFxNc69akR8Qv6Bhr49eivmxuRFxBgQ5Dw1n323Z+6jSbTpNaUVmz2HagXqANDRrb0y9wJDr6WgTGe8liIgUFOkyI4+SONA5t+OfCGB+CZRPXoqKmTEjHgE9y/Q9F62FR3L5475OZzW+YsZ1nWbnvLULLUY5vGbGDmpF56xFb/mLcaPGoFdy78oDovsICNqZ/U+5efcD3/qOI7hGEYZ0aslgt8xrEDgijf7MpXD95jZh27rI1vUhBgeYJbjzKeUHP7+bTxtseK21tWbNcq7o6HZu5kvT7Si6k3aeXuTsUiKBQuoC2t3Tm6ct8wjctIkTTD1Ghg6xZrqqoQyOdWJIOLGbv3TsEV4+koLAChUUiCgor4KMdwLWnlWiyKpk4C3ucdPRkz6ynosYgWy96TlnD/vPX6NiiIUUKChQpKEARRPrYUfEl9Ggzi8AIR+q61pblampVpkPvRoxs8xv7Npyi7YhI6Zr+dl0PTvBCWVlCN9dBeEU1wN7XChSkMfVqanScHM/41lM5sSuD9uPjBBYnQW190KxRlT/Hrn7ve3R40wmObD4pZ48S0MYLHaNqH+Tz+SE4sTOdXcn7vwp7lC+B6H5hPHv8TO5U/WNhx8I93L54j9bDoj7J9T8UoZ0DUaqkxPIf132S6x9cf4yTO9NpP6FVmZ+B/oGjaBjmjFOgnSympqFK5ykJ/Bg/jfW/b5PTVPFr5Ul1Ix261v8B5yB7wdyqipoKXaa2Y0qnmSz/cT2dJscjVizO9Wnpjr6FHl3r/4CdtxWuTevJYtJDtgR+7zWf+YMW03F4BBKJNFdBQQHPpg7UdjCiR/hU7LSr4OtgKstVqiimR6IPvy/dz+zpexnh5EulIgkKRQooFCkQbGiGc2U9oqYvwVakSyMtG4rern/iIkWGGQYxZ90RJq7Yww9NvVBRlEARKLwBP3MTPDT06N5mFjVNquEdYi/rohQrKJDU3Y9VkzfyS88FdPmpNSpqytJgYSHOATY4+VnT1WUA2rW0BYcEYnEFkia1Zv3v25gYP41OU4S2uE6BdriFu9Ct/kCqaFchqK2PLCYSiWg/Po7tC/cyJuZnkibHo16t2ELKwdca7+iGdG3wA8qVleV0nhLHxrJnxUF+6TKLpMnxApsvaw8LAuK9mNZ97nsFhe9decDcQUtoPyFOYE1V19WckCR/pnWb87fuRv8Gj24/Zkbv+SSMiv5XehIfgk9Cve7h+wO2rtZ/eZT/MfEhVgGfAmaOxnhENmDOD8mfRVHxnVXA2QMXCEr0Y1a/hTLVT1V1FeJHRpM8fj1+sQ25dSWTQ5uKT7d9WjRApbISp4/dICTRh1kTN8l2AZVVJCT0CWLxhpN4+lhy++kzdh8pptb5udZBXU2ZzU+v08rTgfF79pH/9pRZRSzmey93lmXvIEDPjFvP8tl8t5ge569rSXVlNZ4UbsdBLZKJGTvJL5Tu5CmJxPSw8Gft3X3U1zTjxm0xG08VMxD8TU0wqKrOppMX6GbrzMwFe8l9q+QtEYvoGOvJ+nUncLTUp+BhLruWF+9cunhbYGCqw/YlB4np5M384SvIzZaqmYrFItqOiGLbgj2YOxpTWPCGrXOLVbGdAmwxczRmw4zttBkexYJSVJlPBVuvuth61f1LOsunhERJQuL4WFb/sumj7gK+Dya2UquAmX0X8fxN7v87amE5/lsQK4ppPyGOjX9s5+Y5edGusmBkbYB/a0/mD1lCwpiWbF2wTyBEFf19E66dv0thEdR2NGHJlGKVU30zHYLi3Jn32y5a9Q1m544zXL5U/LmNatmAK7k55IjeYF2nBtO3H5bFDLTVaeFuy5gT++jm68KmGxc5/bj4lLm9ZT1yFe+iWvEO+kp2/HRmvyymp1KVOKMGzLuxjki9IDafv8nxzOLT7XhLBx6/eM693Gf4aJowM7n4+1lHXZWEAGd+XbGfRDdH0lIukH6qWBU7tJkTudkvuH/1Aa6e5swdUnyiqFm9Ci16BDFv5CoiOniTtvsMp1KKv2uCE314lf+aa+k38YpqILOrAemGdqshzZk3eCmhXQI5d/gSJ7an/aP3SE1DlTYjWrBg2HKC2/t+sBLxv4WyqhJtx8aydPwabt+69Z9fH73EoXQZn8j2BXs+iyWorokO4V2D5Ki/nxPxI1pwfEca6XvP/f0v/48oafMT0imAi8eucmxrcY0YmOCNSEGBc0cuE9jGk9kD/pSdMquqVyJ+ZDQLR6wgqK0319JvCj4Dfq08qaisSPq+cwQn+jGr3yJZ7jubn+TRK/Ft5cmdS/cE86o+Ld1QVa/E8e1pcqOVyqpKtB0Tw8o/9uAWWZ+Hd5+SujVdluvR2BZVS132nLpKi6ZO/Jq8j1dvcyUSMV1i3Pn96gl8TUx4/PQ5mzOK68sAS1O0jSqx5f4ZOum6MW3FAZnbi0QsomdTd5L3ncZbqyYv7+eya1vxuJiruxk1a2iwc+0JWrZ2Zd6QJTx/S8UWi0UkDG/O5rm7sXI25mXeS8EIh0uwA8Y2BmyatVPOdumduvT2BXuoU0+6CbC5hGOLU6AdZk7GbPh9G62Ht2Dh8OLaVCQS0W5sS1KWHsCwrr7cCIedtxXWHhasnLxR9n6UPKFuNzaW/asOo1dbV47G/XdIGBXNkU0n0aqpSdV/aAn6MdBqSCRnUs9zYMfhb8Meqk2bNlhKHNk+a+9Hue4/hUfz+mjqabB6yj+XOv8YaBjmTA0THZZPWv/3v/wR4eBrTVi3YIaETZCLVaggYurhsaz5bTs7klPlFEMjewbRsIkjvWJmUCQSxhQUFPhlZVdW7z3D2p3plGLeERnsQIBHHcKTl/BGnmnB6lYxrLl3mmW35TctomrVo2kNJyL3zkQikaepLXZrz4YzV5hzUL74iKxblzZWdiT2X0hRqVSFQpg+OoajO8+xbIr8h9o71I5mbdzp7jWCglI0G4qK+HHrD5zclcHCYUvlct0iXHAPd2Z8618/q62ErpEOET0aM7Pfos/65f3OVmJ2/8VyqpSfEmqalWkzPIqZQ+ez4ZHUD/C/WgiWN8r/XWjoqjNoSS/Gt/mVB9f/XgSqJGqa12DYyj4Mb/4Tt6/I5/ab1xmxckXGJs2Ri+nU0mTkn50ZNXAVV+9kySlM9xkQQkWdSvRYsEHONUCniirTO4fTa9tmThXcFfLMimBsgwCqV65E9+OLEJXicasrqjKzfjsG7NjKsexSmwJFMLyBH0ZKVek+Wf7EtoqyEnO6RzFt4hbSjwgFYRSKIKm7P4aGWgwMk9djUalckUnrv2fmgGSObZb/vmg7OhpzRxP6+g2XiympVGTKgdEsGLaM1DVH5OJ/BUWJmJHr+zO99wKuZ9z8+4SPiLajY9izPpUZB38C/pvro5aWFjOGzWXx0JX/s1frh+DdZsSH2jz+r5AoSWg/Po5VP2/k3rVPvyn9DhUqiOi3sCt7lh+Uo0SD1KrOztuK3l5D5WKKEkV+OTSaZRPWkbJkv1w8ZkAEzsH29HQfLBcTiUT8engMa6ZtkRt9A2jeKwT3ZvXp3nCQXExBVIGph0axbeUJNi09LBcPbeOGV7QLbQcvlqt5KSpi9shY1qefZ97JU4I1UKEQoupZE+VgReyPyXKiuQpvilj0XQsO7DjL8uRSavaFRQQE2RLezIHuniN480a+Rpy0qS9HNp0oc/zGs4UrMf3C6Fp/IK9L16bAjynDSdtzlgVl1KYNw5xpNSyS7vUH8rKMGnHCzqGcP3yJOWX4wjsH2ZM4LpburgN5kSdf543bNphraTeY0WeBXOzvMHhZL3YvTWXfSvn36FMiJMmfvBd5DJzfC/jKZ5QfPnzI+plbPvZl/xZ7Vxzi3KFLtBsb+9nuGdpZ6nX8uZtkkNKyZvRZQKef2ghoWe+oMj80HotaVRVcg21ltDwA/5YNyXuWz/gOs+nYtxEVJcVUGJXKynQa3JTBPRaj+qyAIOOaiAqKcwPcLXhdVMiAKRsY7exN5cLi+6pKJAzz86HL8vWQKcFf2443b4r/vRrVsOZNnjIdNq1lkHkTJIXFjUJFKtK/bmO6rtjKy2cFhFlaCOq8RqamaOVK6DVuFT3b+qKqWrE4VyymTwsPJn2/jJzHuQREOgsWyQZ+lmhUVuKH8EkkjY9BTbvYGkKsWIGksTH8nDSDzOuZBCUKKSkujR3QM63O2LhfPrv34r1rD5g9YDHtJ8ShY6D9We5Z19Wc4A5+TOs257M2yQA5j58xrdtcYvtFYmdn9/cJ5SjHVwbzeqaEd2tMX78RhH3XCEOrWv8419TBmKC2PnS070ujtt6Y2ApzWw4IY2dyKptn7iC2dxAUFa9HhnVqENrem86BP+LvXQcLk2oCe5QWbdzYffASa5OP8J1vfRQKkVGxjXWq0trHkcgfF9Okhjn1lGohc3kqgiRzF3ZfuMHv+46TZBjImyIF2YiMvooW8fq+hM5dhJeeCS5VSzxzEXQwdCb90B3+WHOQrk3dBK9Ht6oaXfzq06X9XGwcDLCpbyyLKRRBeLgDF/ddYN6oNbQb1lxAFdXSrUKbfqH08ByGuYMhDgG2gmuHJPlxLe0G03vPp8OPQrq0RnV12o2Po6fHEPTr1MA5yP4fv0fq2mokTWrD6OifP3uTDDBnYDIWzuZERX0dVOFPgX79+jGl24zP2iRD8Shf4yQ/6rqaf5Z76hho035iK2YPWPxZm2SAN28KGdNyCvpmNXBp7CCIBSf68uD6Q6Z0+oOOk9oIqNZVtNRImtSafn4j0KqpIaBLg/Q0OvtBNj+2/U1KtS5Rm6qqV5LVppWrquIW4SLI9WvlyYvcfMa0nCI386pSRZUuvyQwLPJnRC9f4NHIWpDr2cSeN0VFjG4/lz5x3lRSVCweMZSI6dPKm2Gj1yC5/5qmtevI1j+FQgivURv1JwoMGLGKAWHeqEoksvVTSaECgwI9mTBoJXl5L/Ered/CIjwdDKjy5jWDWvxC0viWglE+sURM0shIJiZM48m9LBoleAueuUETJ6rpa9HXbwQdf2otsC17p3f0S+c/uHvlvhxd2iXYAX3zGvTyGErixFYCurRIJCJpYium95zH9YxbcqN8jgG2mDoY0b3hINqOixPoPL2jcc/qv5jzRy4T9l0QH4LEsbEsn7T+szfJIB3le/o4h/79+3/0a38W1evPiXdm6XMGJvM85/knu0/8iBYc355G+r5PT5X5K8hoWRPWoKZRGf/WnswaUEwB94xqQBXNyqyfvZsWvUO4duEeR7dJqWZKKhIShjRj1aLDSFQlNIppwJwp22Q0bnf/umhWq8ziA2eJjqjH9cxs9p2QCrhIJGK+a+HOrCsnKZIoEGdjy4879/Hq7X39zUzRr6rGrKx9JFrU49q9fLZevizNFYno38CTpfcOUaTwmpZaHvy0fb+Mxu1d2whTLU1mHDtGawd78q7msXuvVJBBLBLROdqdTbvSeZH7itZ+9sybvJUXb6nY9RrWxqSOLkt/20VItDN5mdmkJKcCyCT5dy45QPb9LKJ7hzB38FLZ/4mDnzUWLrVZNHIljdv78PL5S3Ys/LzMiLKQMDKaY1tPk77/0/2vebVwRV27Cmt+/TxUmfchv+g5rn2tmDBhwn/yxATKT5T/i3CLcEHHQJuVkzfIfhYzIJwrp65zZPPJv8iUCvjo1dYVbLhy0Wh3AAAgAElEQVRG9gnlzuX7HN1ymsRxLdk0dze33vpl6pnq0KSDH7PHrsfeqy7G1vos+72YlhfR3pO72fkcOHqFdl382LI9g2vXpSIsurpVaBZej582H8DGriZ1DXSYsaP4RCnW3Y7b4lw2PjpLfztvNp69QEam9HS7RuXKdHCqx7hzO6lvqImVkim/phRTJ1vZ2ZL15gVrr5/jBytP9qZeJuOmtAHQrlKJdv7O/Lo+lTo1tHE11Gfxr7tluSEhdrx8/opdG07Ttp0Hxzad4uwxqQOAupYqLXs0YsH4DdQy1sLJx5K5JdROG8V7UlRYxNa5KbQe2pwTJSisahqqtB4excLhK6huqE3DsHoCpVT/1p6IJWKBwmxZ+BRKxP8G+UXPqd5chRUrVpSvj58IYV2DyHrwlD3LPt0on7W7BY7+NswbIn9S+Lnh39oLxYpiNs3cQdzg5pw9cIETO6W05pJ0aY3q6njHuAk+Az4t3WX03JgB4Vw6cU1G45bSpVuydMJaVNUrERjvJVDU9oxyRb1aFdZO20KLvqFcP3Obwxul7BAlFclbleUNSFQq0ri9P7OHLJVRsd3C6qFjUYs181OJ6ODF3ZuPObhDKiAolohJ7BPEstSzvK4oooW/HTPm7JVRsd0amKJhrcWso8dJtLTjyb0cdr+14pOO8nmw/EgGeRSQ6GzPvElbyX8rguviWhsj02osWZBKeCNrnt59zJ41Us0asVhEwqBwticfIPfJMyK7BDC7/0LZfK5ToB1mjlL3g5COATzPKVbil9Glk/fz5H42MQObMbdED2PnbYW1ex0p5T3Rlzev37Bt/m7Ze/iOLn3/WqYcjdvawwJ7H2sWDFsmo9WXpHEnjIrm8MYT3L5wl9bDW7Bo5AqyM6XWaXVdzakXZM+8wUv+8n/o3f/JkrGreHw365/+63105Bc9J8fmNmlpaV839Rq+/EInlohpPz6ODdO3lWnk/b/gfTLpXxrtJ7RCRU2FKZ1noVCKTm3raUn7cbFM7jGfa2fkZ+YGzuvEi0IFJg1ZLccxsLTTp9P3jRm9cBfnb8nTAUd+F8wrFei9dgtFIuH/knX16gwL8mXovh2ceCLvCfmTdxBKhWJ6rNpEaWlWS+1qjArxZ/KCFDIy5J95UKI/VUUSRnZfLBczMNKm96gI5o5Yw6kdaYLTF4CuP8Whqa3GkPCJcrk1a1enw/g4Vv68gVO7MuTiXwqhXQLJeZzL7iWpH/3azXqG8ODGQ/av+vy7gKXx/9H+pBzfNsK6BpGd+ZTdS+UL64A2XogVxWyaVbYgUZNOgeQ9fc6uZHkKo1+cO+6RrkxMnMHznBeCmLKqEiNX9+bQjnOsmiO/mRcU2wDf6AYMHLqCp89eCqjYSkpixo6OZP+FW/yRelSOih1ez5Jwd2s6rF/L4xcvBGuzUgVFZoeHcfjmLaYeOiyXG1anDm2s7ek1Yx2PSm1USyqI+LVjGGfO32PRL/ICZ16e5kRGODOm3Uwe3ROquorFIobN68C1jNv80We+XG6DEAdi+jZldPRk7peivItEIgYmd+fMwYusKrGR8Q4OvtZYupq/V5RLupFRneU/fn7mWGmUr4+fB24RLlSrpcWqnzd+9Gt7x7hRWUOVddM+P/PyfbD3sSK8e2Nm9FnAnUvytdrIdf3IvPWYqV1mlZFrTbuxLZmY8Bs3zsoL2Q5d2YfcrDwmJf4uF7N2tyBpUmsmd5jBldPy8+iDl/bk5csCJibOkItZOJvSZWo7fh2yiotn7wjp1kVF9JsUQ5GKIsMnyY9jmpnq0KtrAFPm7CL94j3hqEoRDP6uEcoKFRjdb7ncGmdsUo3e/Rvzx6BlZBws5eVbVET3yXFUqaLC0Kbj5O5by0KP7+d9x5wf/uTkznS5eNdpiejU0mJQE/lcvdq69F/UjQXDlnG0jM3XTj+1Qb+OHoNCxslt5uka6fBDcg/+HLOSg+vkxWjbj49DWVWJ37rPlVM9fzeON2fA4jJp2rXq1CC4vT+zBiz+4na936Q91JdCwasCfu85D88o1/fa/Pwb6Bho0/Y9MulfGjP7LuTm2Vt4NHOmqIQ/RhWtyrhFuDC540wCo11RUhEOFge2cuforrNcPnwJb1cjFN4U51auooxXsB2TRq0lwsEcVUVhbrC7JScybnPm6G2iNc0RvSpeUVQVK9LMwpKhf24jqqYV6kVCCfemphacOX+fIxk3iTK1RKGgOLeSuCIxpnUZ/8sWGjmYo1ZK/t3PxYwb6fc5tPs8gc2dBAukkkRC46Z2TOk6j4aNrFHXURPkujVx5Pb5O+xZcYjGHYTWEIoSRZp09Of3XvO+qiYZYN20rbx++ZrmvZp81OsmjoslY//5r6JJLkc5vjUkjIrm0vGrZTbJANvm7+b+tQfEDW4uF2szvAXXz94qs0kGqT3KqskbiOgSQOkN7YjuwSyesB7VSorUsdYTxIwt9ahhqM38ceuJDrChwosCARW7WUQ9Fi85hNorBVyq6Qr2KGtX18S0mia/Ju+ls5EjkmwFZJVikQJtLexZvP0EkjwRrlr6wlwNDWyrVGfy4t20cXdEXOK7hCJo5WzH+j+PoZD9CicnI8Ez16yhjrV5DWYMXUFYB29EEkVBPKRVQ6lV08OncnRpHQMt7L3qMvW72YR1DRK4PgA06RTA3uWHymySQTrGlLIkVY4qCiWViL98k1yOz4f9qw5z9uBFEj/yKF9k7ya8yn/1VTXJACd3ZTCjzwJCOwfKfQZCkvxJWXKAu5fv0zDcWRDTqK6OW4Qzk5NmEJLkJ2cRFJToy8F1x7hy+jqeka6CWBUtNTyiXPkpcTqNEnzka9MEH45tT+P84Ut4RzYQxFTVVfCNcWVS22n4BVpQSVKheMSwqAjfJnZkHL5Cxq5zBLtZCHIrqUho7G7BlEFrCLYzRV2kWLw+FkHjukZc3n+VEzvPERhsI1jjlCuKaRxozc/d5uMR6oBaCao1RUU0DKjL1aOXSF11iKBEX8F9JUoSQpL8+TlpBq5hzgK6NEDDcGfuXr7PruRUOdsysURMaOdApiTNwLmRvZwtboMmTjy6m8W2+btp0klItRaLK9D0u0ZM7TITB18buVE+5yB7crPy+KXLLLkmGSDz1iNm9l1EwugYdE10BDHHAFvcmzdgeu/5X7xJ/pT4T54ol0RZNIV/A2sPCxx8bZg/9MtTZf4KHpEN0NStyupft1Lb0QjPSFfmDl5GYWGhVM14TDRr5+zm3rWHRPcO4VL6LY6nSGlqrsG2VK+lyapVpzAwr45/mAOzpm6nsLAIsaQCid/5sezIOa5lZtGmiTOXbzzkwCkpPa6hgxFGNTT59cIJjKpXJcbKhsnr9lFQWIhYJKJXiDuLb6ZxPvcRHWycuHvlKXtOSwVc3OoYUkdPm9+OHsVQS514M1t+X7iHVwWFiETQOdqDzQfOcfnmQ2IaOZB94QkH3ioeOriYYGFVkz9npKCjU4VmLeoxe9gKXuUXIBKJSBgYyr61x7h4/Cqh7X3IupfFnrdFrZ13XSmdZfhytPQ0iOrTRLpr9gmk7D8WzByN8YxyZVb/xXLF84egJKWqtCffl0T5iUk5vgUoV1Ki7bh/Lv6jb16DJp0C+KPvordzYLGsmrKJe9f+XvBL16gaET0aM2vwcoqKikgcHcP62SnceatI3zTJl6zsfPZvzcDFz4qatXVYOUsqlKOtq07zDl78MW8fLxVFtG/vxcbNp7lxU+qlGdbEnoeSN6w/dwF3SyPMq2kyb5OUTq2tXom2QS5MTE3lqdJLBtT3ZOOhs1y8J329kfWtya1QwMqrZ3EzqIWjmi7zl0s33DTUVOgQUp9fN6SSU/CKnv4NSd14houXpc/cOMiGwsIitmxOw96uFrZ1apA8TtrIqmlUolX3QBb+vIWczBzivw/mwJrDnD8q/b7wj22IWFyBTbN3Ye1WBwdvS+YNkToEqKqrkDCyBYtHSde1+BEtOLr5JGcOCL1Uy3xP344xvaMPthneghM7P48S8T9F+fr4efGxRvneUWv3LDvAxeNX/z7hC0FZVYl2Y1uyZPxaHt1+TOthUZzefYbTu6Wq8l4tXKmipcbaaVvk3F5Ksy1L07jdIlzQrqnJ6l82YWpnKKBxS5QkJI5ryepft3DvygNifojg8slrHHs7Juga6kgN0xqsmLIJQyt9AmLdmPPDnxQUFCKWiGk3OoYta09x63Y2Ue08uHnpAYd3SanYLj6W6NUzYtHaY+jrVSXc15o5P2+j4NUbqfNJVz82HLjApQePae1lx71LDzj4NtexYW1MbPVZsuAAunpViQi1Y/aQpcX15eAwUlYe4Wr6LZq2cePRzUz2rpAKfpVkqugYaNOsVwhzBvwp0395R5e+cPQyTbs04umjHNmGa0nnE62amrToFyaoTRNGx3B4w3HOHrxISJI/z5/ly2jcJenSGtXViRnYjPmDl5CbnQdIN2hPbE8jff+5D+6PWg2NIm3vGU6nnCmTxv2l8anWx/98owzSHRMTO0OS/8Ir8a/gE+NGJfVKrP9969//8lcAywZmNO7gx43z91j+kzx1KH54cwytDJk7fh23LgpFJMxsaxHdM4jzlx+yZIH8SUer9p7UctBn5tL9XC5lXG5mqE1iswakP3jI9J3yJ5TtfZ2pY1aNmZsOc77UibypjibfBbly/XImM5cflMtt3cQZK7PqLJ25j0snhEIq+gaatO3ix+2zd5g7Ql5ZMKKTL1bOJiz/aQNnSs2U65roEPdDGA9vPRLMvX3NKGvx+xDUstCTUmX6LaTgtfwO4pdEeSFYjq8duiY6RHQLZma/xR+kSK+sqkTi+DjEEjG/95hL/vN/nqukIqHrb+0RKYr5tedCmSbDO7iHOeET05D9WzNIWX9KEJMoiek8NBzFqipMmradvFL0OfeGZviG2LAr4wobUs8Ic8Uivo/2oVIlCaNWp/D0hXAT0dPCiLCGVuw5c5VNW4QsHLFIRJ8YLzSVlJg6aRvZ2cJGw6WeEU1C7Dm29wJbZu4WxEQiEUmDQ9HQUuW3nvN5XIqKbe9dlyYdfDixLY11v22Vy+0wIQ4dA01+6zGXh7eE31N/h/YT4lDTqMyfo1d9dpGlv0P5+vj58W6Ub+OMbdw8/+GjfKrqlUgYJbVUejf7+bUjYXQMWnoaLBq+Qu4zUNfVnMjvQ0nfe06gyfAO7ca0RL+OHjP7LZKjcddxNiV6QDhnD1xk2cS1crlthkdhbGfE3MFLuXH2tiBmam9I7MBmXDx2heRxa+Ry4wZFUNvZjIW/bOfaeeF9jcyrEzcwlMvn7rH4t11yqtjRbd0xt6jBkhkpXCw1nmhgqkObHgHcyLjF/JHy9WXzLv5YOhiSPGYl5w8Lqdh6tXVpPz6Om+fvlKk+3axnCDYeFiybuE5uM0/XSIekSa25c+keM/stkssN7xaMrXddVk/ZJNvIeIdq+lp0+jmeB9cfMqPPArlDldDOgTj427Du1y2yjYx/ipAkf+rUN2PPklSObj319wmfEeXU6/8BRzaf5OD643ScJDRL/yeI7N2E/Ocvv5kmGeDswYvMHbQEbb2qKJeiLWtUV0dVXZX0fWcxqV1Nbn7X2FqftAMX0VJVpHKlioJYFXUV1NQrcW7PZewqqQsUsQHMDHU4feoWukVKVFUU3ldNSYKuogpnD9zGvqI2olJK+JZ61Thz4hYaEiU0KykLYpWVJehKlMhIuYxZGQrQtc1rcObAJZSUxWjWENJZlFWV0NGtwqmdaZhY1YRS89u17Y24eOzyN9MkAzy5n82MnvOIG9wMA0v9D8p1DLDFLaI+03vN++qa5HKU42uHnbcVfnGeTOs+94Nt217k5jO1yyyeZj7FyNrgg3KNbQ15dPsJD65lYmytD6Vm0Awta3Jy1xlq1VKH10IKnEHt6mRn5XHv/H3q1NSSu7aJgRbp+69gKVFDOVe4phvqavIi5yV3Lj/GSkNbQOGmCCyqapGeegMLxapIXpbOrUpB7muun3mAuamQsqdQVISpniZpO89Qq3oVxIrC7+Uahpq8eVXA5RPXMLUX0rQBjOvqcWpHOnq1deSoojpG2ogqwPkjl6ntYCyX+1fQMdBGoiRhWrc5X12TXI4vg3ejfB7NG3zwKJ+BpT5xg5vze49530yTDDB3YDKXTlzFzMlELmZiZ8ipnelUN6yGkoqwRtSsURWlysqcST1fZq6pvRGndmWgXUsLFTXhZoh6tSqoalQmbc+ZMj/zpnZGnN6dQVUddVTVhblVtCqjrqPO6ZQMTOrI90Ym5tVJ35aOegWoUkkicIJRrVwRTTUl0vacxbi2jlyuaa2qZOxMo5JSBapqVxbEVCpXRFunMid3nMbUzlAut7aDEen7z6OsqoRmjaqCmJJKRaobVuPEzowyX29tRyPOHLiAREkiR5eWKEnQNdHh5K50jG3kv0tqOxlz/vAlFEQKVDeuJoiJJWL0autyckc6JmU8819BLK5ATXM9lk9c99U1yZ8S/y9OlN/hQ3b2Spp2Xz7x9VJl/goyUbOZu7h96T7m9YxxC3dmzmApTa1+Y3v0zXRZMXMPKIho2TuYs0evcjr1ImKxiPiBTdm87Rw3bz7CxKw6XoFWzJ26k8LCIuo1NMXEvDqzdp+iUKxAm6bOXD5/n6PHryESQcc2Xqy8eIHzmY+oXV2TZnUtmL54PwWFhTjbGGBpUp3f9h+lUBHaejtxJz2TIwevIBJB+1YebD96ifM3MzGqoUFEPQvmTpaqcds6GWLtYMCit9TC5i0bcP/8XQ6uPw5A/IAmHNySxvlj19A10ia0TUNmDUim4FUBdV3NcfS1Yv6IFVBYRES3IB5cf8D+lYfe+zf82tFyQDgXSyhN/hW+RqpMaZSfmJTja4VfKw+UVCqyYcb2//la4d2CeXwvS0bT+yt4NK+Phq4Ga9+enDbp6M+znHz2rDyCREWJdsObs2bGTu7feIimrjotegQx7+dtvHhZiGuAFTr6GqyaJ2UHBUe7kFdBxNb951EUi+jQ1ov1a45z504W6uoqtGrtxm/rD/FI/AoPGxNMNNRZskpKxQ7xseKlsgIr089KT4v93di8OY1rtx6jrqZM28gGTF97kCdvXtLQyhBLbW2W/yGlAwY0sqZCBREbt6VTQaGIjvGe7Eo+xLXz91BVU6JVz0YkT91O9qNnOLibYWZZg+Sx0lMjnxb1UVKuyMbZu6R0x6ER7F6ayuWT16V06dHRJI9dw+O7Wdh6WmLjIR2nAfCKboiahqrcqXNZsHazwDHg61Aifh/K18cvi6B2vhQWFrJ1rrwYXWnUa2SHqb0xyWPlTyG/FXg0r4+WniarpkiZifEjo2WjDDK69NTN3LvygDoutXENdZKpyrs2rYeeaXWZmn9JGrdYIiZxbCwb/9jOrQt3MXM0xr15A+YOlNK4XUIcMbSqxbK32gAtB4Rz7tBFTuzMQCyW1ubbFu7lesYtjG1q4RfnyewhyyksLMTRz4raDSxYNkP6HkW19+RK2k2O7TorXT8GNSVl13muXH2IgYk2gY2smTdiFQUFhdi5m1OngRnJM6X1ZVRLF25k3ODwVikFPGFIBKkbT3Hx9E1qmlQjONaVmX2k87kl6dIgPS2+d/UBB9ZK18+E0TEcWn+Mc4cuoWuiQ3jXIGb1/5NX+a/k1KXDuwXz+O4T2fdDSbp0NX0tIvuEMnvAYvKfv6SOS20ahjkze4BU2Da0cyA5j5/JaNythkSStvcsp3efQbNGVaIHRMho3O9G+f6Jmr9GdXViBzVj7qB/x2T8HCinXn8kvGuAdy87wKX3zIqoqlcifmS0QCb9W0bsoGZUkCjy/Fk+q6YKRSRMbGvh19IdkXJFNszby52rQkp0VNcAlHSqkPvsFcsXCBWXDU2rERhmz+vKimzYnMbNm8JZvZbNnKmgq8zrrFcsXCM0tTfQrUp4gC2vKyqwfWM610pRwFuE1UO1qjKFj16QPENoTK+rX5XwaBcKCgrZs+wQl48J38emiV5U0VSl4Hk+i0auFMR0DLRo1i2Ily9esW/FAc4fKqVa+A2iUYI3CiIFNs9+fwP8IQ31l0R5IViOrxEt+jbl5rk7HFwvrxj6byHTk5j6fku2yD6hPLj+kH2rhetnw7B6mLuYoVRJiXmjVglo3GKJmHbDmvOyoIhrlzPZszlNkOvibUEdt9ooVarInFm7eV4yVywisb03zxXh6t1H7EgRjqrUtzPCxlEfZUUJsxfsI7cEjVskgk5xHrwqKuTOrSx2rRAqszo6GeHgZIiyuAKLx2/kWQkqtkgkIr5PIwpev+HBtUy2lLJrsvWwwMmvLhUlYhaNWkF2Zo4gnjCiBa9fFZB1P4sN07cJYtZuFjgG2v6lxYlUibgS66Z93cyx8vXxy6NeIztqO0htft6HoLY+FBYV/aOG+mtHHZfauEe4IFGSsPzHdXKaDK2GRlJBLObpw6es/kWoMG3maIxPrAcikQKrf9nEvavCOi9uUDMUlSXkPHomR+M2tjEgsK0PCgoi1k/fyq0LQjp1TP+mKFVS4nluPsunCOtaA0s9gjsGwJsiNi/az41SVOzI7/xR0a5C/rMXLJssXH/1jLVp0t6Xopev2LZ4H1fThUreEZ39qaxRmVfP8lg0fJkgpmukQ0SPxrwpKGTXn3vl5tHDugVRVUedN6/fyBrqd3inLv3mdQG7lx2Uo3GHdg5Es4YGhW8K5bSS3jXAr1++5uCao3JWoo07+KFZQwOxYgWBPR5IT/JjBzf/y1E+M0djPKJcmfOF7fH+DuXU64+EwsJCZvZbhJ1XXTmzdABDq1rEDW7G9J7fFlXmr7B41EqePsgmJzNbblbh6aNcVDUqoaSoQE6W/IckL+c51dSUyLuZiUKp3Jys56gqSaj6WoHcLHmhi5xn+RgUKfPyZo4cTfvpsxdULqyAdn4Fch/I3zcnN58aSsrkPcyVu++z7BdUBNQlIp7ek/dsy3v6HG0dNZ699ZET5GbloaAA66du+k80yQBb5qaQeesxsYOaycXE4gp0/KkNqWuPffVNcjnK8bVBJBKR9GNrjm87/VGbZIC9yw9y4ehl2o6OEVAB36HdmJbUstDj6aNncrGnj3LQ0lXnZe4LXjwTzg0XvCogPy8f7Wqq5DzKkbt2TlYe1VSVKHycy+snwnW7oKCQ/NyX6FVUIv+e/LqcnfMcXYkKosf5FGQJ71tYCC+z8qkpUebFTfnvzqdZeWipqVCU91LOZqSwsJC87OdU06rE03tP5O/7MAeNamoUFb7heY7wvkWFReQ9fc71jBtyTTJA+v5zbJ61ky5TEuSoolBSifjrbpLL8XXg6JZTpK45KlVJL2OUL25wcx7cevSfaJIBzh++xLrft1JBUUTuU/k6Lzcrj2q1NHn2RH6dys7MoXLVSigqi8usx3Ky8tCuqVlmg/b0UQ6V1JRRUhaT87iMWu5JLtr6GmXWnk8fPkNJpICSRIGcTHmx0meZT9FSk/CsjBo/JysPiUIhyspish+UihcWkXM/Cy1tFXIeyec+y8pFUUlMZQ2VMtftZ49z0a6p8Z7aNBexYgXUtCrz9FGOXDznSS5a+prklfEe5GU/R6SggLq2GtkPy3iuJ7m8yMuXa5IBsjOfvh3la17mKF/DcGdsveoyq9+ir7pJ/pT4f3eiXBI+Ld1RVVeR0bL+V9Gvrx0uwQ4Y2xqw5KdNKCgoUMfZlAaNHZg7fIX0pH1kJLvWn+baWamYQVyfYNIOXCLtwCUcPOtgbm/I4iVHKVJQwMyyBh7eFsyZvFVKZ+nuz7ZTV7nwdq4rPtqVc8dvcPLINewcDLGxr8WMjUcoFCtgZqBFsL0Zs3/bSWEhtE3yYs/xq5y7cl9638j6XD92gxMpF7B2MsShvinzZqRQpKAgPcX2t5RRZVr3C+HYrrOcfauIGtnFnxvp1zm04QQWLqbUD7Jj7ltF1JpmugTHezKr/6L/pJS9VKTLj1n9FlPwugCN6uq0HNiMef9S9OtLoPzEpBxfC9Q0K9NmeBQLhi0vs3D5WBComua9RKWyMm3HxJA8djWP72ZJVU1z80lZIqXSeUY1QE1TjfXTt0s/4/3DmDd2Dc9zX6KkIiFhSDNW/LqVh7ef0Ki1O28UJWxfexIUFHALtEZLW5W181NR01ChVbdA5s3fT1ZBARKJmA6JXqz58yD37mQT2MSON6oS1r4V+PJwMaWmmhqrFx5AVVWJhA6ezFt2iMzXL5GIRXRp4c7GRYe4c+sxvsE2KFWqyLqNpwFo0MAUQ111Vv6yDRVVJdr0DmLZ9J08znwmVZ7t3Ygtc1O4cf4uXs2cUa2iwoZZ0kbDyc8KEyt9ksesRElFQtsxLVk+aT0Pbz2Wfm+NiWHnwt1l+rCWhERJQuL4WFb/vIl71x58M0rEJVG+Pn49eDfKt2jkCrIePC0edZu+jVsXPlz062tHWa+v7egYDr1VX3YJccTAoqZMpKsknVgsrkC7cbFsmZMi81qOHxnN8a2nSd9/7i1N3UhWe0tp3PWYM/BPRCIRieNj2bF4P1fTpEKurYc0I23vWU6lnMHB3wbLhhb8OX4dAGb2hriFOTF3iHT8ImFEJKmb07iYLq1rW3bz59zhS5zYdQYbdwtsfa1Y/JP0RNrIUg+fUHtmv1XyThgexcGtp7lw4joUFhHVLYDLxy5zdMspOaaKgaU+jdp6M7v/YgoK3gheH0jZQbfO3+XQhmNydOmaZlJXhJn9pLVpabXxZj1DuH89k9TVR2Snu7PfOp/oGukQ3r2Yxh07qBnnDl6UiXSFdQviyd1/NuYTMyCCyyevcnSL9FAltEsjnj3JJeU9FoZfG8qp158I1h4WOPrbknnjIQUfwUbqa4ehVS0aJXhz4dR11Kups/Z34bxdi16NuXP3KTYNarNmVgr3bxQrhurX1iEoriFnLj1Cu1plVs8XUrGbx7tx82U+1nVrsn7ZEe7eKD4Z0KupQZ10bk8AACAASURBVNNmTpy4fp9aqpVYtliobB0R5UxmXj6WFrpsTz7CrbPFVBkdPXUiWjck7eRNalZTlaPKhLb1ICcrD1MrfXYu3seVU9dlMS29qkT1CuHEzgyMLGqweOTyf/23+xagoqZC29ExHNl4AhsvS5l1w7eC8kKwHF8DjG0M8Gvl+dl20d8Voce2nMQpyJ6Z/RYLNvMaNHGkZp2aUFjEvesPSV1bfLotFkubxRP7zuMcYMPsYSt5lV+slljP3xpjJ1NevnrD4/vZ7N9crHIqEolo2zeI4+m3cXY3Y84v28nPL76vg4sxtZ0MePr6NXkP89izMa1ELrRL8uH4uTs0cDJi3uRtAjVuOycjrJwMeZyVx+vsF6QkC9f8+O+DOHv0Ok4eZswfvpzcElRsqwZmOHhZkHnrCW8KCtg6a4cwd3gUZ49cwjnAlgVDl33QRkbrYVFcPH6FeoF235QSMZSvj18bRCIRbce2JG33GZyDHf5nG6lvAXGDm3Pl9A0c/G1YOn4Nj0q4n5jaGeIb686lE9eorKHK2lJ+0TEDwrl5/g523lasmCS1kXoHA0t9gtr5cP7IZTSqq8vmot+hRd+m3LmaiY17Hdlc9Dvom+vSpEswZw9fRluvKit+FlLAm3UP5vHDZ1jWM2b9Hzu5fbG4vtQ1rkZ41yDSj1xBV68qyyYI1bjDugSQ/SgPMzt9tszexfWMYteVarW0iezThFMpGdSqU1NuHr1pl0Y8y8rDxM6QlD/3cblEbaqpp0F0/3BObDuNia0Bi0YJxwRDOgaQn5ePYV199q04xIVjV2SxqjpViB3UnGNbT1Pb0UimyfAOQYm+vCkopGbt6rKNjH+KwARvRBVE6BhoCxr9bwHl1OtPhPS9UlqWvZ8Ne5Yd+NKP88lxPeMmOY+f0TjBm5Sl8q83ZcVhwuLduXPutqBJBrh16QFPHjwlNNyO3RvkabwpG08T6WdD9tl73LsinGO5c/sJ9+9l08LLipRSM3MAKTvOEOFbl7zLD7l1Rrgb++BONreuPyK8uRN7VsjbTu1ec4JG0fXJe5wjaJIBHt3J4lrGLZp3CyQled97/y7/FTzPec7JXenY+1oxq//ib6pJLkc5vga4hDjSbmwsqasPf7bPT8GrAg5vPE7LQc05vP64HOPl0IYTmNoZYl7PmIPrhBTwgoJCDm08QUyvxhzZmiZokgGObk9HX18da9uaHNooXLcLCws5sP0MsXGunNx9gfwXwtwTh65QQ1UFV2NdDq4tnQv7956ndTNn0ndfkLOsOnXsGlVVKtLQwZD9yw7JUcBTN6cRmeRFWkqGoEkGyDh4EeVKFXFrYseeMk4z9q06TIveoWTsP//Bp/17lh3EK8r1m1MiLsfXh8LCQmb1W4S9rxUnd6X/55tkgJQlqUT2DuHa6euCJhng8qnr5OW8IKidb5mnkCnJqTTr0Zib524LmmSAG2dvkf0wh8ZJfux6T254l0bcu5opaJIBbl24x8MbmYS08yIluYy6dukBGrdx59HNh4ImGeDe1UzunL9NaCs3mRdxSexefoigNh5kZz4VNMkAmTcfcvPsbSK6N2b3klS53JTk/TRq601+7gtBkwzw+M4Trp66TvM+TcquxZNTCWjtSUFBoaBJBsh68JQLRy8T9X0T9pRhp7p7SSo+MQ0RiUUf1CQD7Fl6AAc/GzbP2vlNNcmfEv/vG2WABzce8mPCbySOi5OTYf+voe2YlpxKyaCv3wgiuwZiYlM8k1DX1YygeE/6NBrLjXO3ieniI8ht0z+Es8eu0TfsZ8IiHDCz0pPF6tjoExpZj74tf+dS+m0S4hqgUFBcZLZu58GNU7f4vvVMmja2o65FDVnMrI4uUaEODIj7g4yj14jv4iMoqlp29OZexi36hE7Cv0V9rOubymJGdfWITPKif+MJHN+ZTtvhkYJnju4TQua1B/TyGIJvSzfsvK3+9z/iV4zQzoEoVlRkxvcLv/SjlKMc3xxCkvypXFWVgY3HUNvBGK8o189y34A2XugYVqOn+2CqG+vg38pDFlNVV6HzlARm9J7P1O/m0OmnVqhVLT5x841pSE3zGvTyHoGmliqBsQ1lMWVVJTqPj2HeqDVM7j6P9j+EoKYqkcU9Q2wxsdClT7NfUFNUoHGInWztVaoopkvPQJZM28GE75fS8Ts/tJSLZ3zdvepgaVqdPtG/UVEsIrSpoywmkYjp3M2f1dO2M67LXBJ/aIJWtcrSaxcV0cCvLjZOhvQJGIOCggJN2xd/14glYpJGRrHh920Ma/4zbUe1QMew2OLEpbEDjn429PIYzOuXr2nWM+Qf/53rNbLDtakT41pNpaCg3B6vHB8HM/osRKIkIbRz4Jd+lE8Kex9rvKMb0stzKI/uPCFmQLggnjgulqNbTtEvYCTRA8IF1kXWHhYExHvRy3Mody7fl9NUSRgdQ9qeM/TzG0nzXiHUdiy2dqvrak5wBz96ew/lWtoNWg0V1nnxI1pw/uhl+vgMJ7SjL3VKWFOZOxkT1smfPj4jOHvwIq0HCZ85rn9TrmfcpI/fCIITvLCsX1sWM7U3JKJLAP38hpO2+4xUT6IEYgc1486V+/T2Gop/G0+sPSxkMWMbA6IHhNM/YBRHNp8icWysIDemfzhP7mXR23Mo3tENcfC1lsVqWegRN6QZPwSNYf+Kg7Sf0AqRqLhdi+wTSm5WHr08h+IW5oxToJ0spldbl/iR0QxqMo4dC/eR9OM/t8XVNdKh3diWTIyfJreR8f8Z/++p16XRZngLTuxII33ff2snRVlViXZjY1lSiioT9X1Tbl24g4q6KpU11Vg3o5jipmeqQ2gHX/6ctpPY3sGs+G0HD28V06nDk3x4+OwlKIjQ0lBh7bziXcDq+hqEtXFj/uKDxHXwYv2cfdy7XnzK3DTOlcfPX1JQWISeugqrZu6WxbR11Wne3ouFM3YR28mXjbNSuHWu2AQ+JN6D3NwX5D97ib6RFsve2g8AaOqqE92nCQtHryK6dwibZ+6QzcSAVP3v5YtX7Fi493//o35lSBgZzbFvjCpTGuXUwnJ8KbQeFkXanrOcSsmQ/cwtwgUdA205RdaPiZgB4Vw9fYPDm07IfuYS7ICRTS0Orj9eYu5NuvEoEolIHNeSncmpOPrbcvviPQ5uKM51CrDBzLk2+9YdJ6SdN7OHrZCdUItEIhKGRLB3SwY2rqbcv/GYA1uLqdi2DWtj5V6H7dsyCG9ejzkTN/KqBBU7vlcgB/ZfxsKmJll3sthbgh1kXc8IOzdzNq0/RVSMC/NGrhaocbfp25iju89hbK7Ls8wsdq8oVvKuW98UJ39rNszZTYtujZgzaKngdK7VkGacSjmDvpkuL3Ofs2NR8cmPeT1T3CNcmPV23u99CGrnQ2Hht61EXL4+ft34FizG/i38W3uiWFGRTTOLa0RDq1oEJniRPGYNrYZFkjx6JU/uF4tntejblOtnb1NJTQUVNWWB2J6+eQ1COgaweOQKWg2NYunEtYLaNLJ3E+5cvo9ESZEqWmoCGreuiQ7h3YJZNGIFrYZGsuKnDYLGLrxbMI/uZoNIgWp6VVlZgoqtYyClSy8cu5a4vk1YPW2L4IS6aedAsp/k8iovHz3jajJ7KyjWk1gwZCmxg5uzaeZ2bpasTTsG8DznBXnZeRha6bO0BI1bo7o6MQObsXDYMmIGhLN13m7BCXVwoi+vX70h60E2Zo5CVfUqWmrEDY1k8YjlRH7flJQlqQLb2nfWnw9uPMTS1ZxFI1fIYv/UxcfG0xI7bys5Ne5vCeUzyp8RoZ0Dyc3KK5P+8S2itFBAaQQkeGNZ34xfesqfQhpZ6dN/TkeGt53JvWvyO0z9Z7SlqOANE/oukw6tlbyvkRYDp7ZiTO8l3Lwqn9tnXCQVRTCm+2K53Or6VRn6ezwTuszlasYdudwek2OprKbMiOgpcjEtPQ16TGnDmJY/lyli5dLYAYO6+nKzKN8qlFQq0m5cLMt/XE/mzW97F7C8ECzH54ZESUL78bGsnrqZu5fvy8X/aSP2oRCLK5A4PpYtc3fLUfpAWoS2Hx/L0LAJsib5HUQiEZP3jWDPikOsniqv1hyU4EVwog+9Asfypoyv+Emb+nFoxxlW/LFbLuYT4URYWw96Rf7KaxTk4hMXduBU6kUWT5fP9WhkQ4sOnvRq8iOvXsvfeNySLmSknmfhGPm1t36wHa0GNKWX13Be5ObLxYcu7cGaqZsEGxnv8K4InfueGdHYQc2kAj7b5cd+viWUr49fP3QMtGneuwmz+0t9bv8LiO4fxrW0m4LNvHdQVa/ED392Z1L76Ty+I69YP2zV9+Q8zuGn9jPkYqb2RvSd9x2DQseSeeORXHzQ0l68fPGSifHT5GK1LGsyeElPhkdOkqNTA/Rf1BUFhQqMjftFLlbDVIfhK3ozJu4Xrp+Vry/7zEpCSaUiI6N+kotVq6XFqA0DmJjwK5eOX5OL9/wjCfVqVRgaNkEupqFblXFbB/Fz0owyKdHf/doOHcNqDA4ZKxdT11Zj/I4h/NZ9Dqd3n5WLJ/3Ymgc3H7GmlEUXvJ2lHxPD7mUHBQ32O/jGuqNcWblM14BvCeUzyp8R637bSv7zl0T2bvKlH+V/hoOfNZ5RDfi957z3Kj1vm5vCrj/3EddXSGGzcbegYRMHkpwGENDMEQsnY0E8fmBT1k7fwYY5u2ndxUc6tPYWlg4G+DS2paP3aDx962DlYFBMpy4qok03f7bM28uK6TuJ7xkgyK1jq0+jcAc6NhyGa4ANNg3NBPeN+74xu5JT+XPsatqNiBRQUszsDQlN9GJQyNj3Kj0f3niCY1tO0WFia0Hut4h3VJmZfRd9801yOcrxuVFNX4v2E1sxZ2BymU0ywIWjl1k1ZSPfTW2HitrHKeDVq1Wh4+R4Fo1cWWaTDFI9ifGtptJpcjxVtNRkP1fTUKXzlHiGNJ1AzqNnBLfzEuT5x7mDAvQLGkeHUVGoa1WWxVTUlOg8LoaRrX/j4Y1MGresL8j1DndEWUlM37CfSPw+CG3N4terrCKh84AQxnecw63zdwmNcRGMyHgG2aCuVpGeQeNoOyCUarrFz6ykIqHj0HAmdZzJ1fRbhHfyF9zXLdQRnZqadHUdTPywSHRNdGQxiZKEzpPimPH9/DKbZIAn97OZ0XMerYdGUsuieCRILBHTaXI8e1cc+uab5HJ8G3hw4yEz+y6i3diWVC8xMvAtokIFER0mtubQhhNlNskAudl5DAoZR3i3YEwdimtEkUhE+/FxLBq1kl1/ptJqiJAube9jTf0QRzrY9iakgz/m9UwF8XZjY1n+4zq2zNlF/IgWgpi1hwVeUa60t+mNX5wHdV3NBfGEkS1YN20La6duJGGkMLeuqzmBrT1ob9sH9wgXrNzqCOKtBzdjy5xdLJu4To4ubV7PlJCOAXSw6Y1LkIOALg3QakgkKcmpLBy2TI4ubepgTET3YDrafY+dt5WALg3QcmAEh9YfZ3b/xXJ0aUOrWkT1bUon+77Uca6NS7CDIDe6XxindmWU2STD21n6/oux95a3xY3sE8qLZy+++Sb5U6L8RPkvUNvRGM9vwGT7fQho44VYUcymUoqh74OukQ7hPYKZM3w1bk0dUa5UkY2zdsniTTsF8ORBNv/H3nnH5di2cfzbkCRJRnZJhEQyUpJKJCLRXhp2Lx6P50GPvWXv8WihEhllZc+M7L333nuE5P3jVo/cSbfuu7tyff95P5+u6zzPg/dxdR7n+Tt+x9ED1/EPbs+KmZt4ck/Ux7hsJS1c+toRMWMLpi3roKFelLXhuzPGOvhb8ubFOw7uv0ZAX1tWLdjGw68y7tLlS+LWx47FM7Zg0rwmZUqpseYbN+62fpakvPtI0oZjBPzjSPyczRmN6zXLaeAV7MTiMauo17wWFaqUJm5Kzm6KNbTU8R3lxtJRsm3/IivqtahDfStDMcfDgoxwYyKQVxiaG9CknQkRWfSWzAplFWW6TvRi46JtmeR2kqJvooe1mzlhOfy9kt7GaOfy/aR9TsPWuzmhg/8ba2xtSF2L2kSPX4P7QEeunbnNocT/jLcCx7qxL/Ek7999pI2PBeHD4zJuqI2aGdCgRW2WztiMc29b7l6+z4FN/yWUXf5x5PDey7x8k0J7V1NCR6/OOHA1bKxHo5aGLJmxhY7+zXl4/SH7vzEL8xnUnhNJl3j86BVO/paEDlnOxxSRFLtWYz3M25kQPnIlHXu05OndZ5nal3gP7cSZfRe5e+UBLn+2I3zQUrHeyz/Cc0gnLh6+yo0zt/AI7lSonIiF72PBwnekKyd2nuHUbvEbwPxOyTIa+IxwYcmI5bzKou9vVrj81YG7l+9zZu95fEa5Ef2N3Leifnkcg9oQOjiaFq7mqKhmlnF3+qMdj2494di20/iP88gk49bWKYvzn+0JC47GzLExxUuqZUrsOvax58XjVyRvOEbAWI9MMu4ylUvjNtCR8KHLMbWvj6Z2SeJn/yfjdujZinevU9ifcISAsW6s+kbG/a1SxcTWiHJVy7B6xn9u3G272fLpQyo7Y5PoFuLN2nmbuXv5fsbfn/cIF5aOWI6hRS0q16xA3JT/ZNzpcumtS3bTdZJ3pt8rGlrq+IxyI2pUHLWa6FPNqCqxIfEZY219WqCiWoQtETsJnOglJuPODhvP5hQvqcaGhVvpGuLFjmX7srxlLogI0ms5oVmuJD7DnYkYWnB60UL2UpnsUFUrSv9FPTm9/yIbw3aJPe8Y1BrLzqYM6jiN1E+ZN3kqqkWYGP8nu9YcYW2EeA1wO18LbDs3YZDLTD5+zGykoqyiTEhcX/ZvOMaqOVvFxtp5N8Pex4JBbcZnqnsDUXuUocv6sXNZEjuzcC3MDkVFRQIneolZ9+d3bDybi9X8FAaEjaBAXmDlZo5muZLEz078+cvf4TW0MxcOXeHolpMSjzV3bEylGuUzbZhyivsgR6rWqcKkLGSIVWpXYkh0P6b1+JfLx8X7CQ9Y2J3ipYozxnee2LOKeuUYurg3c/6O5nwWY/tO9kSrvCYj/cSlk+UqazEivDsL/lnG6WTxzVav8W5U0CnDMOfpYs9KV9BkzPJ+hAZHc3T7WbHnPSZ5oVOnEsF2Y8We/YzA8Z4UVSvKvD8iJB6bnxG+jwWP9LrVrByV8yv6Daph7d4sx4d532Lj2ZwWrmaMcZ4qZphXTF2VSduGs27BVrZEinsFuAxoj3nHxvzdcrSYAlJFVYUpO0eyJXIX6xeK73uc+rTFyt2cAdYjxcYqqygzZcdIdq/Yz5osvvntutli52/NwJajxOTyyspKTN4xgv0JR4ibulZsrJ2fFQ497RhoK14yoqioyOQdIzi6+SQx37WOArD2sKBzfwcG2o4WO8xTVFQkZOswTu+9wJKR4jXvzTs3xSPYicGtx+T4ICOdpu0b0sbfhhk9/y1Uzv+C9FpOvHj0kvl/ROI1tDO6hlV+PkDOKCsr/VQqkx0p7z4wwWsmZcprislZGljVQU1dlYWDYvAe0Ba+ZP6A+gxqz4K/oymhXpR6TTPLaIya6lNKqzhz/47C+097FL+rffMe0JZFQ2JRUVbExCqzFMbQtDrlKpRkZlA4PkM7icmlPf9xIm5SvMRJMogkKYsGLsWkVX2aOjSSeLw8EKQyAgK/Tqc/2vE5Ne2XkmSA6LGrKFe5NHb+1hKNa9/LDtXiqr+UJAPEhiRwdMtJHHpmli2XLKNBh152DO8QQivv5pSpqJnpeRu/FpzZf5Hdcfvp0DVzzCW0iuPU05YRLlOx6tgQ7QolMz23dW3KpePX2Rq1F6fAFpmeqWmo4tzDhlGes2jWrgEVqpTK9Ny6U2Nun7/DxkXb6ByUOeZi6qq49WvDKNdpNLIzpkoN7UzPWzg35cH1R8TPTsRtoGPO/5IQGbA9f/Sy0CXJAgWT9Qu2kPI2BZe/Osg7lBxh1r4RDVoasegXe8jviNnLymnr8B7unOnnioqK+IxwYVq3BVTS16bOd/tLk1b1KFK0CKGDovHJYqzvKFdmBYWiVUEzk7s0gLF1XdRLFWfeH5F0GZVZag0ik94FAxZTvKQaxlaGmZ4ZNa9NmUpazAoKxWeEi9j+0nuEC6GDoylSVFlMLl3HrCYV9cszrdsCfEa4oqT03djhzkQOj+Vz2mcxubRBY3306ukwyW8OviNcxJypPYd2JnrsKt6/fod5h8x7U30TPWo10WeC1yy8hjmjrKIs9mf+Ebp1q1K/hSFjXacVqiRZlgg3yhLgEezE1RM3OJR4XN6hZIlmWQ28h7sQOUw6t98detvx6tkb9sQfxdarGcpFlEmM2AVA6QqlcPu7PUtC1oKCIn6DOxAzeR3PH4r+4bULsCLl3Ud2rD2BtXNj1Ioqsz5sZ0acXgPbs2RKIp+/pOH3V1tWTN/Ak7siGbe9nyWfU9PYuvwglp2aULJEURIWiG6ZNbTU8RnWiajx8Xx89wG/Ec6smrZOKlb2tt7NUVXPv7e0Gbffy5K4clzcRKIwINyYCMiSrhO8SIo/xIXky7meq5GdsZg76Y/wG+3G0W2nOL0n9470Ge6ko+LQN6mGlas54f8sy9jU+o9xI3nTSc4nX8VjUAcuHb3K0a0iZ2tD85o0sjNmybh4dI2q0srdjLAhyzPG+g7rzLG9Fzl75DquQa24fuY2h7aIpNi1GlXDrJ0JkRPWUqV2Jew9zAgbujxDxu01qANnk69w8sAVOne34c7FOxzcIPpdqd9AlxadTYkYuYoK+uVpH9CCRYOjM25+vP5x4vyhKxzbfpZOfex4cP0R+9YkA6I2K7Y+loQO+nlf+I7/s+fFo5fsWiHel7QwIHwfCy76JnqiW9rBP//vWF449GzN+9fv2R6d+9vv8rrl6Ny/HaGDY1AtXhTv4c4sHbki4/az4//sef7wJbvj9mPnZ4WCggKbvjrSl6lcGre/HQkfEoOSshJdRrsRPXZVRmLn0LM1b1++Y+eyJGx9LFFRVcmQcWuV18QjuBMRw2IB8B/rTuzENTz9WibYtpstH1M+si1qL9buzTLJuDXLlcRrmDNLhseS+jGVgPGeLJ+8NkPGnX44ujliJy1czClV/j9VkoaWOj4jXYkavZL3b1IInOBJ/KxE7l8XlQna+rSgSFFlEkO308ypCdo6ZTNk3Goaahly81fP3tB1ojfr5v8n47bxsEDta5xm7RtR2aAicVNEt9vF1FVFcU5KEOtr/T2mbU3Qq6fDsolrcvX/bX5FkF7nE1r7WaOkpEBi2I6fv5yHSFr3llOadWyCpXNTti8/wOEtmc1QlFWUGbCwG1++wPTeYWLOrKZtjOnQsyXrFu3k4Dc1cyCSS/eb7Y9KEUUm9wwTk8o0bl0Pp96tWb9oG/sSjmR6pqioSJ9ZXUj9mMq/A5Zk1L1Jg/rWhtRvYZjvLPILej11ThE2ggKyQE1DjcDxHsSMX52xYZIGOnWqYN/VhtCBUVn25S1aTIXAiV6smbExY8MkDSpU08ZnpAu3LtwldmK82PPOf7SjkZ0xC/5ayq0Lmeupy1YpTb+5gVw4fJXoCeJ+Do69WmHatgH/Dl0h5ghbuoIm/WZ24eqpWyweK77ZahfQgmYOJoQPX8GV4zcyPdMsp8Gf87ty/ewdwv+JERvbxt+a+lZ1WDNjAxcPX8n0TENLnS6j3Vgy8sffP/9xHhzacIyz+y9m+bwwIHwfCzbppXyRw2J5/Tx/lfL5jnTl5K6znNwlXgbxqxQtVpTuU3xQUlJkVu9Qsb2pRSdT2nWzZdWMDRzZ/N0eUUWZgZH/49OHT0zvtkDs+2rWvhEdgtoQP3sjyRsyqyeVlZUYEN4bBQUFpgTOE9tfmrY1oWOftqxbsJn9CYfFxvb/twcqxVQI6TJHbKxJq3q4DOjAxkXb2LvqYKZnioqK9JvfjRJa6kzqMkdMxm1sXRe3QR3ZHLGDXcvFD/P6zulKqQqaTOoyR0zGbWRZm3bdWnEo8XiWMn7/se4kbziWpZs2iNpPpX76zJbFu7J8XhgQpNf5hC2RO3l464lYs3R5YtahEQ1s6v6yVCY79sUfYtX09dS3MBCTpBi3qMOtc3e4e/EuRs0zS2EUFRUxambA1qi9GJnpi401sjDg/tX7XDt9mwYtMo8FqGdRiy1LdlPXrCbKipll2obmNXl27zlzgkKlmiQDnNx5lq1Ld9N7pj8qqipSnftXqWYkalw//4/IQp0kCwjIgiq1KtFllCvz/1ws1SQZ4Oa520SNXkmvGX5olc8sedbWKUvXEG/Cg2OkmiQD3L/+kFm9FlG6Qim0dcpmeqZVXpPyetrsWJZEw1ZGYmMb29VnX8IRSmgWp7xeZldejTIlqFyzAjti9tHQxlBsbEObuiSvP4ZqsSJUrp55bAmt4ugaVGRbdBINrMTHNmplRHLiCZSVFNCtm7mMSU1DDb16Ovz712KxJBng1bM3zO0bgdsgR/SNdTM9K6auStDsQNYv2Fqok2SBgk96KZ/nkM7o1q0q73AAUe1v0MwAti7eLdUkGeDD+w/MDgrlxaOXGFpkllorKytRt1ktti7dTf0svhcmLY24fvomD64/om5W+0vL2mxdvAsjyzpi+8t61obcuXSPWxfuUq9FHbGx9VrUYeuSXdS1qCU2tm7z2jy48ZirJ27Q0LaeWFzGVoZsXbwTQ3MDMbm0obkBzx684HzyZRq0FP/2NrCpy9bFO6ndtKaYXLqOWU3evHzLmaQLmLQSX7eBjRGJYdt/WOseMTSWmo2q08LFXOyZ93AXHlx/VKiTZFki3Cj/IunN0n/UmzivaN/Ljrcv38ncKKKUtiZeQzuzeOxq3rx4Rxu/FpCWxqavUmz7ABs+f0pl6/KDlChdAt9/HFk6djUvn7ymZJkS+AztxNKQdbx6+gZbD3OKKCuw8asUu7WvJYpKCmxekoRaSTX8h3YiZsJqnj14gbqmGn6j3Ygat4YXT15j426OWnEV1s0TPyentgAAIABJREFU7x0qTTJ6E09ey6Pb4v398grTtiZijoeFGeHGRECamLSqRx3TGkSNXSXTddL7VO6JO8Clo9cwsqxNw1b1ifwq/5Ml/mPcObLlJKeTLmDQWB8LpyaEfb2xrWWqTzPHJoQPE5nBeA3pxNl9Fzm+Q9RmyWd4Z07vv8ypPeepbqyDtYsZYf/EkpaWRs2Gelh2bkLEqNWkKSjg0d+eS8euc+RrmyWvfzpy4fA1ju2+gG6dSrR2NyfsnxhSU9PQq1cVW08LQocu58uXL7j2b8f10zdJ3iiSYnsMduTaqVsc2nSCqrUqYR9gTejgnP0udRvoyM1zdzm4/ggVqmvj1LctoYOipX5omh8Rvo+FB4/BTlw7dfOXvGSkRV72fO7Q247Xz9+yc1lShpv04q9lgqUrlsI9uFNGH3T7ri35/M3tp0OPVqS8+8i2pbspWUYD35EuLB4ucuPWLFcS72HOGSWH6W7SieEi1ad9gA1pX76wOWIn6prF8R/rztLRIjfu75Uqtj6WqKoVZf1CUalf6y5WKBVRIjF0e4Y8OnaCSJWkrlkcvzHuxHx157b2sKBEqeKs/bo3/dZwVVWtKIEh3sRNSuDR7SciufQEL5aHxPPkzlMsXczQqqBJ/CyRjNvKzZySZTRImLsJFVUVuoV4s3rGhhwduFo6N6VM5dKsnrEBZRVlMTfuwowgvc6HfP8PJ6+RZt1bTlBWVqJriBcoKXF0y0mOfCfFbtLGGNN2Jnx495Hw4cszSbEVFRUJHOtG0RKqHNpwnEObMstsTFrWxdyxEanvPxIaHEPqp8+ZxvqPdUNJWZnTe86yP/6QbP+g3+A3xp0jm05wZt+FPFsznfTWA1uX7MrzteWFsBEUkBZ2/tYoKiqSGLY9z9Z0/tMBrQpaPLj+MGPDlBd0CLKjaq3K3L/+kFXTN2R6VrpiKbyGdYY0BVbN3Ci2YXLoYYuuUVUe337KiinrMz3TLKeBz7DOKKBAwsIt3PxOim3vb0V1Y12e3HlGbEhmGXfJMiXwHe4MfGH9wq1cO5W5fYmdnxU1G+nx7MELokdL1uLO1rs5evWr8f5NCktH5a8yGVkifB8LF6IWnkpsDM27b1Q6Rha1aWiXN4d56Zg7NsaoeW0+p37O5KsAZCR1yirK7FtziGPbMu8vTR0a0sTemA/vPor5FSgrKxEY4oWKqgoH1x3h8Hf7y8Z2xjTt0JiPKR8IGxSdScad7v2iqlaUw5uOc3D90UxjTVoaYdHJlE8fU8UuxhQUFAic4EkxdVWObjsttjetb2VIC1czUj+mEjo4RuwwL2CcB8VLqnFy19lM7fFA9P+PjZcFqZ8+S3yQUcu0BtbuzVBUViI8OFpMxl1YEaTX+ZB3r94xt08Yjv+zp5ZpjTxbN10qszliV54lyQCpqZ9ZMGAJb56+BgUF8RcU4MsXRH7WaeIHMAqKQGoqkMUzBQUUPqeJJslibgUFBfasSMrTJBkgclgs1Y11sXITl7PIEp/hzty/+uC3SpIFBKSF5z+deHb/eZ4myQArp63n2qmbkMXnUZYoKiiKvqE/+HYqfFFAIetPq+idL1+y/GYrKqb3J0iDz1mU9SgowOfPkCZeny3ii2juH/HlJ89/hIICD64//K2SZIHCx5bFu3hw/RHew13ydF1rDwv06uvkaZIMsD/hMHtXHfjxhwjRHjKr76fCd/8r9lwhm3RGtCn94TuKCvCFL1l+P1FQ4EsWe1bRI4Wvz7P9I/3woYKCwtc/b9bP037xIlNBAT5++MTcPmG/TZIsS4QbZSmR3iw9aXWyTNfJS6lMdohuaxTYtFjUL9k+0IbUj6lsWbw7Qy4dPSGeF1+l197BjiwZIXI8tPW2pKiaChvDd4OiAna+lih8SSMxfJfoln6MG8snJ3yVt6jRZYQLUd80rpcHzZxMKa9bllXT1//85Vzwu0llvke4MRHIDcrKSnSd5E1i6A5unrsttziMLGrTyK5+hvOqLPEf686RTSc5nXSemg31aOFqTmhwDF++fKGOWU2aOjQkfMgyQNQD+vzByxzbLpJe+45w5uTOM5zcdRZ9Y11svJqLXLC/QM2GejTv1Jjwr1Jsj8GOXD11i8NfHbS9BztyNuk8x7afRrduVdr4WxEavIzPXxSoXl+Hlh7mLBoo8s1w/bsDN8/fyzDd8RjsyJWj1zi8+YTEZUxugzpy4+xtkr+7+fkdEL6PhZNKNSrQobddnpTyOf/ZnvvXH7JvTd5eOnxLuqlZxNAfS6/TPqex+asLtkOPVqS8TWFb1N4M6XW6XPr7uVr7WaOkrEji11t6+8CWpKWlZZJeR41ZyfOHL8VMUm29m6NaXDVL6XW6XPpb6fW3Mm4r92ZolFZn7VyRkujbLioZpXxT1vLo1hOxuSydm1K6ohZrZon+bVt7WKChpf6N9NqL1bM2cv9qDqTXLmaUrlAqY67fCUF6XQD43i5e2hg1r03DVvWIHC7efFwemLSqR23TGigoKXFu/8WMzRd8rdkb58b1s3fRM6pM2ODMbtzG1oYYWdYhNTWNy0euism4A8a6c/P8XfTrVyVscHSWjrJ5jUFjfZp3MiU0OFom85epXBq3gY6E/xPz254CChtBgV+llLYm3sM6Z2yY5I22Tlmc/3QgLDhGJoeaP/JRSK//u3LsGmoaamIbJvtAGxSUlKhmWJnV0zPXvZUso4HPCBcuHbuORukSrJyW+WDQzs+KIqpFqFKzImvnJmY6zEuv2btw5BqlK2iy/DtfBVvv5hQrUZxK+tokhm7PdJCRkzImRUVFuoZ4sz1qN1dP3pT8L6wQIHwfCy8ZydPENTy9+0zq8ysoKNB1ohe7V+zn0tFrUp9fUkSlfN5cPn4dndqVMg7z0mncxhj9BtUoUrQIp3af48TOzPvLriFeXDt5A926VcVk3Cat6lGnaU348oVzyZc5tvVUprEBEzy5fuoGevV0xTrF1LcypL6VIZ8+fOLK8etiMu6AcR7cPH8HfeNqYntTI4vaNGpTn7cv33P7wl0OrMvcscVvjDu3L96jZkM9sUORWqY1aNaxCS8fv8ryICMnruROfdvy9P5z9sQd+OE7hRlBel0A2B23n0tHruI/zkPqc1t7WFDNqGq+SZIBjm09xf6EI2hXLcOpvZlreNPS0ji7/xLV6lTMuFX4lhM7z7Izdh+V9bU5tUe8/vfMvgtUr1eFhX8tyRdJMsDFw1dYPXMDQbMDUdOQ7i/yOmY1ad+rNXP7hv+2SbKAwK9Ss6Eezn86MLdvRL5IkgEe3nzMokHRBEzwpEI1banOXaG6NgETPFk0MErMbPDZgxcs7B+JkUWtTBvEdI5uOUVds5qEDY4WM4d5+eQV8/pFYGhWg2NbT4qP3XoKw6Y1iBwaI6Z4efPiLfP6RVDXrCbHsxh7ZMtJ6jTVJ2p0nNhtf0YZU1CbLMuYSpbRIGiWP7ET1/y2SbJA4eb9mxTRv4HedtQxqynVudU1ixM0K4BV09fniyQZ0kv5FlPdWJfTe8VLCE/uOkflmhXZEZOUKUkG0f7y37+Xolu3KmeSLortL0/tPkf5amVJWnNI7BuYlpZG6KAodA2rcu7gJbGxZ5MuULqSFoc3nxBLkgHChyyjcs2KnD94SWxvenb/RUqW1uDM3nNiSTKISvkqVtfmfPJlMeXAxUNXUNMoxsXDl7O87V8ycgVVDCpi691c7BlA4HhPLh6+8tsmybJEuFGWAd82S5dG0uMyoD33rslXKpMdahpqBIzzIGZiPM/uvwDAobst716/Y0dMUrZji6mrEjDOg7ip63l0W9Qs3T7Qhs8fP+VbK/t0U7ONodu5df7uzwf8BEvnpmhVKCUzJUJBQrgxEZCUZk5NqKinTdzUdfIO5Yf4jnTlxM4znNp9Ltdzpd945KTXu2ewE5ePX+fwZlHiamRRK8eqJLeBjtw4d4fkjaLNYp2mNWjqYJJlD+TvcRnQnntXH7Lva4/Smg31sHRuKnbzkxVOfdvy+M7TjDKmdEn49wY+vyPC9/H3QJo3gzp1KmMf2JLQQVn3es8P2Plbo6j0n1y6XJUyuPzVgbDgn5cYfi+XLl2xFB7BnQj/KuPOjm8lzoCYg3Z2fC+X/l7GnR3NnJpQoZo2K6eJfmepaxanyxh3YsaKJOHZYda+EZUNKhI3ZS0geyVCQUKQXhcwpFFrqqioSOAEz3wjlfkZAeM92ZdwBNO2JpzcdUainnz+Y905lHiSBjaGnNt3gWPbT8swUungOaQzl45c5chm8VPHnOLUty1P7z0Tczz8XRE2ggKS0CHIjtfPRC1H8jsOPVvz/vV7tkf/eiu/b+veckobf2sUlBR5//YDGlrqrP26KczRej4tUC1elNfP36JVXpM1Mzf8fNBXbDwsUC9VnCf3n1NRT5uVEhxkpJcxPbzxmKq1K7F8UsLPB/0GCN/H3wdp1Jo2sjOmZkM9YsavlmJksiFdLn18+2ka2zeQyGjM2Lou9VrU4VDicZp1bEKYBOVx6XLppDWHaOFilqPDvHTSPSB2r9hPS29LiQ7zRD2Pzdi6eBd2gTZibtzZkX54uCl8Jw49bPl3oHzb1OYXhES5gOIz3IUzSRc4vkOyxO97o4CCQteJXjy+85SEuZK1RlFWUWbEij9Z+PdS7ly6J6PopI99gA1ARs8+SQic4MW++ENcSL4s7bAKLMJGUCCnZPQPzkK2l18xa9+IKrUqsWKy5Imfy18duHPxXpaSvp/RuE0DWno3Z6L3LInH9p3bjbMHLrA9SvIE38iyNh2D7BnjNk3isT2m+HLn8n02fL0pEhC+j78bdcxqYta+UUZfdEmwD7ThS9oXNn01xCoIVDGoSPfJvoxyniJx4texjz1aFUrlSPHyPdo6ZfnfnK6Mc5smsZ+EnZ811Y11mfdHhMTrapXX5M/QXkz0niVxyZClc1MatqrP9B4LJV63sCLUKBdQlo6Oo0J1bWx9WuR4jK5hFbyHOTP/j8gClSQDhA6O5uWjV3QMapPjMaUrlqLHFF/Ge80sUEkyiBLkx3ef4Tmkc47HqJUoRtDsQOJnbxSSZAEBCVFVK0rQrAA2hm4vUEkywIF1Rzi2/TTdJvmgqJizX7+Kiop0n+zD8W2nfilJBji86TjRY1fRc1oXlIso53hcwHhPtkXt/qUkGeD0nvP8O3ApvWf6o6pWNMfjfEe6krzhmJAkC/zWnDtwiYR5mwmaHUgxddUcj/Mc0pnHd54VqCQZ4PbFe0zwnkXPqb6Urlgqx+M69rXn+YOXv5Qkg8hPYozLVAIl9JNo192Wz58//1KSDCI/iZEdJ+E9rDM6dSrneFwrXyvUNYsLSXIeISTKecDGRdt4/ew1boM6/vTdxm2MMe/QiAUDFufbepKfsWvFfi4fu4b/WPefvlvLVB/H3nYFut/bkc0nSFp9ULQJVVbK9t0qBhXpMtqNhQMW/9DdVUBAIGvK65YjcIIXiwZG8fDmY3mH80tcOXaNFZMS6D3THw0t9Wzf1dBSp/dMf5aHJHDlxI1crXv7wl2WjIyj5zRftMprZvtuMXVVgmYHsnbeZs4duJSrdR/efEzoV1MzbZ2y2b6roqpC75n+bF26W8zAR0Dgd+TJnacsHLAYvzHuVKqR/QWZsrISPad1IWn1wVyVhMmTd6/eMadPOB3/Z5+lsd/3+I/z4NKRa+yO25+rdT+mfGRuvwhadWlBvRZ1fvq+zwgX7l5+wLale3K1rsjUbAnNHBvTyM74p+97DHbi5eOXbPxazy0gewTpdR6iV0+HVj6WLPpBHYN9oA1paV8yescVdMpVKYPL3x1E7Y7eistZLJ2bFqp+b8VLquE/1oOYcat49uCF2HMTWyPqmBkQNWalHKIrGAjSQoEfUa9FHRrYGLF4RP5x/s8NyspKBEzwYuuS3Vw/Le7krFdPB1sfyereckrAeE/2rTnExcNXxJ7Jsqer70hXju84zek94kqAjN8XwTG8f1swD01ljfB9/L3xHub8tRWneCmfVnlNPId0zpGJVUGhU792PL7zlL2rxD1ciqmrEjDek+WTEnhy56lU183OT0JFVYWuEz2Jn7OJe1ceSHXdNv7WKCgoZFnKp6ysRGCIF5sjdnHjzC2prltYEKTXhYBrp26ybMIaes30p2QZjUzPvIZ25uGtJ4UmSQZ4dPsJiwZG4T/OgwrVM8tZnPq2RQGFQpMkA7x9+Y45fcLo1K8dBo31Mz1r3cUKbd1yQpIsIPALtPRqjk6dyoUmSQbRTcK/fy/BtG0DTNuZZHpm2s6ExvYN+PfvpTJxeg7/J4a6FrWw6GSa6ecmLY2wdm/G/P6RMjGHWTJyBbqGVbHxsMj0c0NzA9p1txW1xxOSZAGBLIkas5Ly1crRytcq088NGuvj1K8dc/qEFZokGWD1zA0oKirSsa99pp9XqlEB/7HuLPxridSTZID1C7bw/vV7XP7qkOnnZSqXptskbyKGxko9SQbYFLGTR3ee4jU0cylfybIl6Tndj5ixq4QkWQ4IiXIe8+rZG+b3i8B1oCP6xrooqyjTa7ofe+IOZNnzsqDzMeUj8/pFYOtlibG1ISBq2H7x0OVcS2XyK6HB0dS1qEUzJ9Em1CPYiRePXma0PhAQEMg5Ln914P2bFNbNz7nTc0EiNiSekmU0aNvNFhDVvZXQKsHykHiZrrtq+nqUiyjR8X+iTWjrLlaU19OW+WHeuvmbSXn3AZcB7QGwcjOnRkM9IiRwuRUQ+F3ZGLqdV09e4THYCQCLTqbUtaglkdNzQWJ33H4uH7lGwDgPQORwbeNhwbw/ZHOYl87+tUc4vuMM3SeL/CQMzQ1o37OV6DBPhmWCR7ecZO+qg/Sa7oeyshL6Jnq4/t2Bef0ieP1cMsMvAekgSK/liP84dwwa6TPaZVqhOgX8ER372dOsQxNCusyRySlgfsPG0wKH7q2Y9b8w4RQwhwjSQoF0FBUVGRL7B8smxnPlWP5vj5dbTFoa4T3ChahRcXnaHs/Q3IDACV4snxRP8oZjebauvokevad1Yc3cRPbGCe3xcoLwfRRIR7duVfrMCWTDv1vZEZP/2+PlljKVSzNoSR8OJBxi9cy8UyJqlivJPzH9OL7jDMvysM2WmoYaw+P+5NKRq4QPWZZn6xZkBOl1IcOgsT4KKLAtag82Hs3kHY7MqVSjAhV0tYmfs0lMdlcY0SyrQR0zA2JD4rF2M5d3OAICBYoSpdQJmuXP5ohdtHAxk3c4MkdZRRlTh4ZEj12FqUNDlFVy7kydG5SUFGnmZErM+FU0atOAYsVz7qybW6xczFg2MZ76loaoaxbPs3UFBAoD1m7mLA+Jp46ZgVgpX2GkpZcFCbM3Ur5aOSrql8+zdW08LNjw7zY0ShVHt27VvFvX04KtS3ajoKgoVsonkLfkzW9jgUw0czKlXNXSGadE9a0M8R3pypKRK+QcmWxoYGOEYTMD5vePBKB6fR26T/aRiUlNfkDfRA9rN3Pm9YsgLS2NG2duEzTTn7DgGIl79AkI/G7o1q2KnZ8V8/+IJDX1M1dPXidoVgARQ2MLpfKmTOXSuA10FJkevknh3P6L9JjaheUh8TJV3pQso4HPCBeWjFjOq2dvOLX7PF0nerJmdiL3rz6U2bpqGmr4j3Vn2fjVPHvwguPbThE40YvNkYJJjYDAz1BVK0rgRC/iJq/l0e0nHNl8koAJnuyK3ceV49flHZ7UUVRUpFuIF1uX7uHaqZskrTmEz3AXTu89L3Nn/MDxnuxLOMyF5MvsXrEf90Ed0a5ahuSNslXe+I505cTOM5zafQ6Azv0dKFO5NPvWJMt0XYGsEaTXeUzH/9nz4tFLdq3IXJ9bobo2Tn3bEjoomo8pH+UUnfRp5duCIkWLsHHRtkw/z9ikjVzBq6ev5RSd9DF3bEylGuWJm7Iu089VVFXoGuLFmpkbuX9NdpvQgo4gLfy9aWLfgOrGuiybsCbTz5VVlOk60YsNC7dy+2LB6rWeHXXMa2LariERWUjr/Md5cHDdUc4fzF17pqzQb1ANa/dmhAXHiB1W+oxw5dSes5zceVbq61atXYm23WwJHRwtVl/oEezElePXObypYLa1yQuE7+PvTXb7RJe/OnDn4r1f7rWeH/n+MO9b2nW35cP7j7luz5QVahpqBIzzYNmE1WJtPFt3sUK5iJJM2jOpqKrQLcSL1TM2cv965n2ilZs5JctokDB3k9TXLSwI0utCgP9YDy4duyqWJAPcv/qQ8OAYuk3yplyVMnKITvq4D+rIqyevxZJkgJdPXjGvXwRugzqiV09HDtFJn/a97FAtriqWJMM3pmY+OevRJyDwu2HftSWa5UqKJckAqR9TWfDnYixdzDBpVU8O0UmfFi7mGDTSzzJJBogYsoxaTfSxlLL03KxDI0xs67FoUFSWip6lo1ZQuUYFbL2bS3Xdhq3r07xzUxb8uThLE55lE9ZQSlsT+64tpbqugEBhoL61IbZelszrF5HlZUrclLUUK1EMh56t5RCd9NE31sVtkCPz+kWIJckAG/7dxutnb3Ab5CjVdasYVKTLKFcWDFgsliQDbFm8iwfXH+E93EWq62rrlKVbiDdhwTFiSTLAruX7uXL8Ov5j3aW6rsDPERLlPKBYcVWCZvqzfuFWzu3/8e1AyrsPzO0bTtvuttRtVisPI5QuSkqKdJ/sS/LGY9lKVNLS0lg0cCmN7IwxdWiYhxFKH7/Rbtw4e4sdMeJ9975l6agVVK1dmZZe0t2ECggUZHyGu/DwxmO2LN6V7XvRY1ehrVMWO3/rvAlMRjj1a8uXL2k/bY+3ZtZG+PIFp35tpbKuQ8/WqJUoxorJCdm+t+Hfbbx58R63gdLZhNr5W1Oucmmix67K9r0ti3fx8OZjfIY7S2VdAYHCgK13c6rUrMjS0XHZvrcjZi+3L9zFd6RrHkUmG8zaN6Jh6/o/bY+XvOEYhxNP0OOrM3VuMWlVjxau5j9tj3ds+2l2LksSOVNLwU/CyKI29l1bMrdfeLbleWf3X2TDwm0EzQ5EVa1ortcVyBlCoixjKlTXxm+sO/8OjOLx7Sc5GhM5LJbqxrpYFUATqJJlNOg905/YCau5fjpn9WYrJidQolRx2nW3lXF00kdFVYWgmQFsjtjF6T3nczRm/YItvHsl3qNPQOB3Q1lFmd4z/NgZu49j23LWHi8xdDvP7j/HM9hJxtHJhsAJXpw/eJk9K3Pm9Lxn5UHOH7xM4ASvXK3rO9KV2xfusj06+8O8dA6uP8LRLSfpPtk3V5tQz2Annt57TmL4jhy9f2zrKXYt3y+1TaiAQEHG9W9H3rx4z/qFW3P0/sldZ9m6eDdBMwNQUVWRcXTSx6FHK4qXLMbySdkf5qVz7dRNlk1YQ9As/1yZmtn5W6OtUzbH7fHuXr5P5LBYekztQpnKpX95XSv3ZlSrr0NkDtvjPbr9hEV/LyVggicVqmv/8roCOUdIlGWISCrTnPn9I/n04ZNEYxPmbiL1Yyqd+zvIKDrpo9+gGq4DHZnbN2upTHZsW7qHu5cfFKiT0P+kMtFZSmWy48C6IxzfdopuId5SOQkVECholKmkRY+pXYgYtpw7lySrOz686QT7Eo7Qc1oXlJWVZBShdFHTUCNodiDxszdyIfmyRGMvJF8mfvZG/jc7ELUSxSQam36Yt3Xxbk7ukqzu+MqJGywPiaf3TH80SpeQaKyyshI9p3ZhX8IRjmyWrO749sV7RA5fTo+pXShdsZREYwUECgOKiiJl3rGtJzm4XrK64/vXHxIWHE23EG+0dcrKKELp4zvSlduX7rEtKmeHeem8evaGuX0jcBvkiL6xrsTregR34tn95yRKWHf8/k0Kc/uE4djbjjpmNSVe1/lPBz59+MRaCeuOM0r5vC2pb20o8boCkiHs0GWErY8llWtUYOnonJ1OZUXSmkOcSbpA11zeJOQFZu2/1r0NzF4qkx0ndp5h69Ld9Jrul+9PQo2a18Y+0OanUpnsuHLiBismr6X3TD80tNSlHKGAQP6ldtOadOhtx9w+Ybx//f6X5rh57jZRo1fSa4YfmuVKSjlC6ZJe97bwB3VvOeHpvecsGLCYLqPdqFyzYo7GaOuUpdukXzvMSyfdT8J9sFOO/SS0ymvSa4YfUWNWcvPc7V9a9/3r96JNaFAbapnW+KU5BAQKIhpa6vSe6c/ykHiunLjxS3OkvPvA3H7h2HdtiZFFbekGKGVEh3n+bF26+5dNBNPS0vj376U0bF2fpjks5VNWVqLnND/2JxzOlYlg2D8xGDTOuZ+EgoICXUO8ObX7HPvWHPrldZeOiqNKzYpS95MQyIyQKMsA14GOvH72hg3/iptYScrFw1dYPXOD6CZBI386QTr0bI2axs/r3nLC/asPiRwam69Nzaw9LKhmVJXI4ctzPZdoExqJe7AT1YwKh6mZgEB2WLqYUauJfkZ7vNzw5sVb5vaNwPlPB2o21JNCdNLHxNYISxezn9a95YTUj6nM7x9JC1czTGyNsn03o+6t768f5qUj2oQuobF9g5/6SdRsqEenP9oxt28Eb168zdW6AOFDllHbtAbNO5vmei4BgfyOXj0d3IOdmNcvgpdPXuV6vshhsVSrVxUr92ZSiE76lKtS5uthXoxU2tItn5SAuqbaT03NNMuVFB3mjY775cO8b8nwk+ibvZ+EumZxgmYFsGraei4dvZbrddcv3MrrF+9w/Vu6pmYC/yEkylIkXSpzdPMJkjdIr8/aswcvWNA/Et8RLlStXUlq80oDSevecsL7tynM7RtOu+62GJobSG1eaeAyoD0fUz6ydt5mqc2ZfhLapG0DTNuZSG1eAYH8Rvom4mcmVpKQlpZG6OBo6lsZYu7YWGrzSoPWftZo65b7qYmVpESPXYW2bjlad7HK8rmVezOq1aua47q3nLI8JJ4SpdRx6NEqy+fNnJpQr4UhoYOjf1lZlBVrZm1EUVHpp5tQAYGCjKlDQxq3Mf5zxp+9AAAgAElEQVSpiZWkrJ23mU8fPuW7Ur66zWrRtrutVA7zvmVb1F7uXLz3w1K+mg31cP7TQWqHeensWXmQ88k/9pPQqVMF72GdWdA/kucPX0ht3eT1Rzm29STdpWRqJpAZ4W9USmSYWE1cw9WTN6U+f2rqZxYMWEzzzk1pZGcs9fklRUVVhd4z/X+p7i2nRAyLpYaJHlau8jc1EzW99+bkrrO5kspkx/KQeEpolaBtt4JnaiYg8DMCxnty8fAV9sQdkMn8cVPXUVStKB1628lkfknxCHbi+QPJ695ySmLodl4+foXHd6Zmzn+2F9W9SfEw71u2Ld3NnUv3xTahjkFtUFFVYeU08fZ40mB33H4uHr5CwDgPmcwvICBPHHq0okQp9RybWEnKvjWHOL3nHF1DvFFQUJDJGpJg5WZOdWNdqR/mpZNeyhc00z9TKV8zpybUt5L+YV463/pJFPvGT6KxnTHNOjZmwYAlpKZ+lvq6Ij+JBIJm+QulfFJGSJSlQPX6Ov/1e3v6WqZrRY9dRdlKWtgH2Mh0newoV1UklQn/Qb83aRI/J5HU1M9yPQkVSWX8iZu6TipSmezYtnQ39648ENqjCBQaiqmrEjQ7kLXzNnPuwI/b40mDncuSuH76Fn6j3WS6TnaITKx8ObDuaK7q3nJC8sZjHFh3lJ5TfSmioky3EG9O7ZbdYV46J3aeYVvUHnp/3YT6j3Xn2smb7FyWJNN1zx24xNr5WwiaFUAxdVWZriUgkFf4jHDlzqX7bFu6W6brXDp6jdXT1xM0KwB1zeIyXSs7Ovd3IPVjKgkSmlhJyv2rDwkLjsko5evQ2w4VVRXipsrmMC+ddD8Jv9FuVDGoiH1gS7QqliJm/GqZrvvyySvm9o3APTjnfhICP0fhy5cv0plIQaEycBvAgraoKuTPelppY+rQEJ3alaVSnysJjeyMqdlQT+b/8L7HyKI2jezqEyGjU8AfUauJPhZOpoQGR+fpujp1qmAfaEPooCiZnAL+iEo1KtChtx2LBkXluq6xIJHy5R1JiGS5N27ceKCjo1NBziFJhd/1+yiv/461dcri/Gd7woKjpSrp+xma5UriPcyZyGGxUpX0/Qx1zeL8E92PhQOXcvNs7uvtckqpchoMWtqXad0W8OhWztofSgPlr4cCa+dt5u7l+3m2rrwRvo+FCxVVFbpO9GTN7ESp1OfmFGVlJQInerEpfKdU6nMloesEL/auTubi4St5um7fed24feEOa2Yl5um6oxMGET8nkWNbc9b+UFq4DXTkxrk7JK8/mqfryhNZfR+FG+Vc4NCjFSU01fI8SQY4svkESWuS6Tk179qjWLk3Q6++Tp4nyQAXDl1h9awN/G92QJ6ZmjVuY4y5YyMWDFicp0kyfNOjb7Jvrnr0CQjIC5OWRlh7WEjFxEpSHt58zKJBUQRM8KS8brk8WbPG17q3ef2kW/eWE968eMvQ9hNp7dsCfZO8MTWrUE0bjyGdGe44KU+TZPjP1MzavRkmLbM3NRMQyI+U/WpiFTE0Nk+TZBCV8i38awnmjo1pnEelfOnt8VbP3JDnSTLArN6LSPv8BSu3vCnlUy4ictQOHRyV50kyiEzNsvOTEMg5QqL8i/iM+LV+b9Lk1vm7LB29kp7T/dAqrynTtdLr3mQtlcmOZ/dfsGDAEnxHulCllmxNzewDbNAqr8myCWtkuk52vH+Twtx+4bTv2fqXevQJCMiLVr4tKK+nTdToOLnFkN5rsrWfFUaWsm2P0qxjE4xlWPeWE9LS0lg0KIoGNnUx69BIpmsZWdamVZcWzOsXwceUjzJdKzuixqykvJ42tj4t5BaDgICkGJob4NBDZGL1/k2K3OJYNmE1WhVLybyUr2rtSviOcGFh/0iePZCeiZWkJMzdROon2ZfyaZXXpMc0P5aMXMGt83dlulZ2pPtJ+IzI2tRMIGcIibKEqKiq0HuGH9uifr3fmzR5+/Itc/qE0emPdhg01pf6/AoKCnQL8eb0ntz1e5MWqR9TWfCnyNSsYev6MlnDa2hnHt5+wubIXTKZX1Iihi6TqEefgIA8cR/ckVdPXrNxUe7b40mDJSNXoFOnCjaesuk12aG3HUXVisq87i2nxE1ZSzH1YrTvJRtTs5ZezdGpU4UlI1fIZH5J2bhoG6+fvsZ9UEd5hyIg8FOsXM2p0VCPiKF5r8zLis0RO3l4+wleQzvLZP5GdsY079xULsq8rEhancyZpAt0nZi1M3VuMWisj1O/dsztE8a7V+9ksoYknNh5hh0xe+k9w48iRYvIO5wCiZAoS0B6v7fwf5bluVTmZ4QOjqauRS0sOkmv12Txkmqifm/T13PxyFWpzSsNYsatolzl0tj5W0ttTmUVZXpN92NP3AG5SGWyI6c9+gQE5IWSkiI9pviSvOEYyRul1x5PGqxfsIWUtym4/NVeqvP6jXbj+plb7IiRn7IoK3bE7OXGWembmrn81YF3r9+zfsEWqc6bW5I3HuNQ4nG6T/YV2qMI5Fs6/dGOz58/Ez87b+tkf8axrafYu+ogPaf5SbWUr42/NWUraUm9PV5uuXj4CqtnbOB/swOlWspn0cmUuha1CMtjL52fcffyfSKGxtJ9so9QyvcLCL9RcoihuQFtu7WUer83abJq+nqKFC2CY1CbXM+lU6cyPsOdWSBnqUx2JIbv4Om953h+1x7lVyhdsRQ9pnZh8YgV3L54TwrRSZ/0Hn0B4z3lHYqAQCZKltGg1wx/lo1fzfXTt+QdTpbsTzjM8R1n6RbinetkSlWtKEEzA0gM28HpPeelFKF0Ob3nPJsjdhE0MyBTe5RfIb093vEdZziw9oiUIpQu107dJHbCanrN9KdkGQ15hyMgkInACV6cO3CJvauS5R1Kltw6f5clI1fQQ0qlfJ5DOvHk3nMSw3dIITrp8+zBCxb0j8R3hAtVa+e+lM8xqA3Kykqsmr5eCtFJn/dvUpjbN5z2PVthaG4g73AKFEKinAOs3MzRb1CNyOHL5R3KT9m5LIlrJ2/iP9b9l+doZGdMs45NZNbvTZoc2XyCfQlHcmVqVquJPo5BbfKNVCY7LiRfJmFOIkFSPgkVEPhV9BtUw3Xg1/Z4z97IO5xsuXLsGnFT1xE0y58SpX6t16S2TlkCJ3gROjiKhzcfSzlC6XL/+kPCgqPpNskbbZ2yvzSHhpY6vWf6s2LyWq4ck217vNzy6tkb5veLwPXvDugb68o7HAGBDBOr+NkbuZB8Wd7hZMu7V++Y2ycMp36/XsqnrCwysUpac4gjm2XbHi+3pKZ+ZsGAxVh0Ms1VKZ/fGHeuHL/OrhX7pRidbIgYGkuNhnpYueaNqVlhQEiUf0Ln/g58+vhZriZWknI66TwbFm4jaHYgqmpFJRprH2hDmTzo9yZNbp67TdSYlfSaIflJqEUnU+qYGxA+ZJmMopM+T+89Z+GAxXQZ5UoVg4ryDkfgN8asfSMatDRi0cClcjOxkpQXj14y/49IPId0QrduVYnGGlnWpk2ADXP7hfPhvfxMrCQh5d0H5vYNxz7QBqPmkpma6datintwJxb0j+Tlk1cyilC6pJuambSqj1l72ZqaCQhkRxWDiviOdGHhgMU8vfdc3uHkmLDgXyvl0yqvSc/pfkSNjuPWuTsyik76xIxbTbnKpWkjYSlfseJFCZoVwMZ/t3F2/0UZRSd94mcn8vnzZzr90U7eoRQIhEQ5G7pO8OJM0gX2rcmfUpnseHT7CYv+XkrgBC8qVNfO0RivoZ15fOcZmyJ2yjg66fPmxVvm9o2gc38HajbMWXuUjn3sUVJSYvWMDTKOTvqkt0exdDHDxFZojyKQ9zj0bE2xEsWIm7JW3qFITHp7FLP2DTFta5KjMTaezalWtyqLR+R/ZVFWRA5fTjWjqth4WOTofdO2JjRtZ8K/f+d/ZVFWrJicQLESxXDo2VreoQj8hpi0qoelixkL/lyc5+3xpMGq6etRLqJExz72OXrfoLE+nf5ox5w+YXneHk8aJIbv4Mm953gO6ZSj9ytU18Z/nAeLBkbx6HbetseTBntXJXPuwCUCJ8jG1KwwISTKWaCmITKxkle/N2nxMeUjc/uF08qnBfWtDH/4nnIRZXpO68LeVQfzvVQmO9JvEupbGdLMqUm27/qPdefy0Wvsjsv/UpnsiB67Cm3dcrTuYiXvUAR+I7qMcuP2hbv5zsRKUpZNWEPJshrYd22Z7Xsuf7Un5W0Ka+dtzqPIZMPaeZv5kPIRlwHZm5q17WZLybIaxIbE51FksmFHzF5uX7hLl1HSNTUTEMgOO39rtHXK5jsTK0nZtXw/l49e+2kpn4VTE+pa1CJ0cP4ysZKUI5tPsG/N4Z+amhlb18XW25J5f0TKtT1ebrmQfJn42RulbmpW2BAS5e/I6Pc2YEm+NbGSlCUjV1ClViVsvcXbo2iV16TntC4sGRkn135v0iRu6jpUVFWyNDUrpq5K0MwA1i3YWqCkMtmRGLqdF49e4j5YaI8iIFtUVFUImunPlshdnNwl//Z40mDL4l08vP4I72HOYs/+M7E6y/6Ew3KITvrsW3OIk7t+bGrmPcyZB9cesmXxrrwPTgac3HWWLZHSMTUTEPgZnv904tn95ySGbpd3KFLh7P6LolK+mQFZlvI5BrVBuWiRfGtiJSk3z90manQcPX9gambr3ZzKNSuwdFScHKKTPk/vPWfBgMX4jnARSvl+gJAof4NJq3pYOJmK+r19KnhSmexYv2ALb1++x/Vvx4yfpfd7m1MATKwkJcPUbMx/J6EVqmvjN8adhX8v4cmdp3KMTvocSjzOwXVH6THFV6rtHQQE0ilXVdQeLyw4hvvX81d7vNxybPtpdsbuo9d0P5RVlAFQ1yxO0Cx/4qauy/cmVpJy6eh/pmbqmsWB/9rj7Yzdx7Htp+UcoXTJMDUL8aZclTLyDkegEKKsrETPqV3YF3+Yw5sKrjIvKx7dfsKiQVEEjPfIVMrnP9aDqydusCt2nxyjkz5vXrxlXr8IOv3RDoNG1TN+7jbQkTcv3rN+4VY5Rid9Uj+msmDAYlEpX6t68g4n36Hw5csX6UykoFAZuA1gQVtUFQrWNb6dvzWKCgr51speWugb62Lj1ZzzyZcpV6VMoTkF/BHaOmVxHtCew5uOU7ORPlGjC8cp4I9Q1yyO3xh3osas5MWjl/IOR2JSvrwjiY0A3Lhx44GOjk4FOYckFQr699HIojYN7eoTOSxW3qHIlGLqqgRM8GJ//CFM2zYgdFB0gazPzSnKykp0DfHm0MajmHU0JTw4mvdvUuQdlkzxG+PO0c0nOZ2UP9t6ZYfwfcyfaJYric9wZyKGxhbI+lxJ8BnuwoXDV2hi34C4yWsLZH2uJHTu78Dj20+o3bQm26P2cOXEDXmHJFPsu7Yk7XMamwugV5Gsvo/CjTLgGezE03zc702aXDlxg+UhCVi5NmNrIZHWZcfDm4+5dvImBo0Lf5IM/52EOv/pgL5JzkzNBASyw8q9GdXq6xT6JBm+9prsE0ZLr+bsjjtYqJNkEJma7Vl5ABsvS+b2CSv0STJA5LBY9OrrYOXeTN6hCBQCajbUw/lPB+b2jSj0STLA0tFx1DatwdUTNwp9kgywbcluWriaEzsxvtAnySAq5Xt2/zmewU7yDiXf8FsnyhlSmYQjBdrESlJePnnFOPfpuAc7oVdPR97hyBS3gY48e/ii0NST5IS0tDRCB0fTwNoQc8fG8g5HoADTub8Dnz58Ym0Bao8nDaYEzKNWE30snZvKOxSZYuncFIPG+kwJmCfvUPKUhLmb+PThE537O8g7FIECjLljY+pbGRI6OLrAtMeTBktGruDFo5e4DXT8+csFGL16OrgO6sg49xkFpj2eNDi86QT7Eo7Qc2oXoZSP3zhRzuj3NmYlN8/dlnc4eU5aWhr//r2UxvYNMG2Xs/YoBQlFRUW6T/bh8KYTJK8/Ku9w5ELc1HWoqhWlfS87eYciUMBQUFCgW4g3Z/aeZ9+aQ/IORy6smbURFBRw6ttW3qHIhPQ/15pZG+UciXzYt+YQp/eep+tEoT2KgOR06G1HUbWixE1dJ+9Q5MLB9Uc5uuUkPSb7ZGkKWNAxdWhIIztjFg1c+lsdgqRz89xtosaspNcMPzTLlZR3OHKl8P3XnQNqNtSjU792zO0b/ltIZbJjeUg8JbRK0LabrbxDkRoly2jQa6Y/sRPWcO3UTXmHI1d2LEvixtlbQnsUgRxTvKQavWcFsGr6ei4euSrvcOTKnrgDXDx8hYBxHvIORaoEjPfkwqEr7Fl5UN6hyJVLR66yesYGgoT2KAIS4DfGneunb7FzWZK8Q5ErV07cIDYkgd4z/dHQUpd3OFKjXXdbSpQqzorJCfIORa68efGWuX1FpXw1G/6+pXy/XaLczKkJRpZ1CA2ORlpGZgWdbUt3c+/KA3yGu8g7lFyjb6yL60BH5veL4NWzN/IOJ19wes95NoXvoPcMP6E9ikC26NSpjPdwZxb2jyw07fFyy7kDl1g7fwtBswMppq4q73ByRTF1VYJmB5IwJ5HzBy/JO5x8wbMHL1jYPxKf4c5UrV1J3uEI5GNU1YoSNDOAxNDtnN5b8MzgZMHLJ6+Y1y8Ct0EdC0Upn89wF+5efsC2pXvkHUq+IL2Ur77V71vK91slyh2C7ChSiPq9SZMTO8+wY1lSpvYoBQ1Th4Y0bF3/t5XKZMfDm48JC46ha4gX2jpl5R2OQD6kkZ0xzTo2YeGAJYXexEpSntx5ysIBi/Eb406lGgXTaLhSjQqi9ngDFvP03nN5h5OvSE39zMK/lmDhZEojO2N5hyOQD9HWKUvAeA8WDYri4c3H8g4nX5GWlsaiQVE0bmOMqUNDeYfzS6ioqtB7hh/bovdwYucZeYeT74ibuo6iakXp0Pv3K+X7bRJl/7HuXD95q9D1e5Mmdy/fJ3JYLD2m+FKmcml5hyMRDj1aUUJTjeWTfm+pTHZ8eP+Ref0iaBNgg5FlbXmHI5CPsA+woUzFUsSMXy3vUPItqR9Tmd8/Emv3Zpi0NJJ3OBJh0tIIKzdz5vePJPVjqrzDybfEjF9N6YqlsA+wkXcoAvkII8va2PlbM++PSD6mfJR3OPmW5ZMSKKGpVuBK+cpVKUO3EG8ihsZy/+pDeYeTb9m5LInrp36/Ur5CnyinS2U2/LutQPZNzGvev0lhbt9w2vdqTR2zmvIOJ0f4jnTlzqX7bIvaK+9QCgSLRyxH17Aq1h4W8g5FIB/gOaQzj+48ZVMB7JsoD6LGrKR8NW1a+baQdyg5opVvC7SrlSN67Cp5h1Ig2Byxk8d3n+E5pLO8QxHIB9h4NkenThWWjFwh71AKBNui9opK+UYUjFI+Q3MD2na3ZW6/8N+iPV5uOZ0kKuULmhmAqlpReYeTJxTqRLlCNe0MqcyjW4W/35s0iRiyjJqNqtPCxVzeofyQdKnM1qW7BamMhKybv5mUtym4DGgv71AE5ISyshI9p3UhafVBjm45Ke9wChQbQ7fx6slr3Ad1lHco2eI+uCMvH78iMXS7vEMpUBzZfIKk1QeF9ii/OS5/dSDlbQrrF2yRdygFihM7z7Atak++90Vp4WpODRM9IofFyjuUAsXDm49ZNCiKgAmev0UpX6FNlI0sa2Pr20KQyuSC+NmJpKWl5cv2KOlSmfB/lglSmV/kwNojHN95lm4h3oWyvYPAj9Eqr0mP6X4sGRnHrfN35R1OgSR54zEObjhGjym++S6ZUlZWoscUXw6uP8ahxOPyDqdAcuv8XZaMiqPHdD+0ymvKOxyBPERRUZFuId4c33GG/QmH5R1OgeT+1YdEDI2lW4g35aqUkXc4YnT6ox2fUz8TPydR3qEUSD6miEr57PytC30pX6HcHadLZZaOEqQyuWXvqoOcT76cr9qjGJob0LZbS+b2Cyfl3Qd5h1OguXLsGnFT19F7pj/qmsXlHQ4AFStWlHcIhRqDxvqi9nh9wnj36p28wynQ3Dhzi2XjV9Nrhh8ly2jIOxxA1B6vx3Q/oseu4saZW/IOp0Dz7tU75vYJw6lfOwwa68s7HADhUFPGqGsWJ2iWP3FT13Hl2DV5h1Ogef8mhbn9wmnXwxZDcwN5h5NB4AQvzu67SNLqZHmHUuBZMnIFOnWqYOPZXN6hyIxC98V1+asD71+/F6QyUuRC8mUS5m7KF70mW7iaU71BNSKHL5drHIWJF49esqB/JF5DO6Nbt6pcY6ljasD//vc/ucZQmLHoZEpdi1qEBkfLO5RCw6tnb5jbNwLXvzugb6wr11j0TfRw+as98/tF8ObFW7nGUpgIC46mrkUtmjk1kWscGlolmDlzplxjkCWNG8u3/Yxu3ap4De3M/D8iefHopVxjKUxEDI2lRkM9uZfyqWmoETQ7kPjZG7l4+IpcYylMrF+wJd+U8o0dO1bqc0o9UZ41axaqannfa1JRUZHuk304vu0UB9YdyfP1CztP7z1n4YDFdBnlShUD+dz4dfqjHZ8//b+9e4/L+fz/AP6SlrJKiITkbE5JIaWVKJKSKJXOxZJ+5DCMaWxZ1hzTt8ihA6UoJXLOKZRWEpFFyNoicwgt6Rv9/uh7W5ukuj/3fd2H9/PxuP+pz31drz0e22euy/u63jU4FHqcyfySjNceRd9KFyPN2bRH+XL6aAzRH4gVK1YwmV/SWfuaQ1ZOltrjCQCvPcpwUy3oW41gkkHfagSGjxuCnd/EUns8ATiwKRWfycnC2tecyfy9hvaAy/IZ8PPzYzK/MIwZMwbG09gspkZNGg59K12Ef03t8QThYMgxvH37FtMWTGYyv8aArnBdZUft8QQkIyUbV8/exCxGR/kUFOWxIGQOtm3bxvnYnP/TLF26FN6BblDvo8b10B+l3EERPsEe2BeUgqK8YqHNK2147VGMZxhAx0xLqHN7Bc6sK5VJ/kWo80qbuLXJ6KDeHpNmjRfqvFPnTYKMjAz2bz4o1HmlhXuAA+7mFVN7PAFLWH8ICkoKsPQ2E+q8lnMmQEFJAQnrDwl1Xmlzbl8G7l17AI81DkKdV89CB3oWOghdskuiN0E2b96M1rKymPp/k4Q676RZ46HSuR3i1iYLdV5pczEpCwWZt+G11kmo8+qYacHITh/bFkdTezwBKsq9h0QGR/nU+6jBY40DwpZE4Pfff+d8fM4XylVVVQheEA5TJyMMGzuY6+E/0GtoDzgst8FWv0i8ePJS4PORuvYoapqdMMFtrMDn4pXKJG+hUhlhORF5FmUP/oSzv61Q5vNY44DbOXdxPiFDKPNJE/m2beC7xRNHt6fhxqVfWceRCmf2XkBJYSlcV88Qynxu39vjQUEJzuyl9njCkH/xFo6Ep8E3xEso7VEsZo2HUkclxAdJxybimf3puJN7Dx4BwtmMcPa3Rdn9xzgZfU4o80m7X7Pu4GDIUaEd5ZvoYQI1DVVqjyckwj7Kp20yBKZORgK9uFlgfz++54cEdO+vjvFOgjvgzdtl3b5kj0TvsoqiYztP43lZORyX2whsjh4Du9WVyiyMwrNH5QKbh3wo99R1nN+fAZ9N7pCVkxXIHAqK8vAN9sThbadQkHlbIHNIM/U+/2uPtzQGj0uoPZ4wXTt3E6eiz8M32FNg7VHk5OXgG+yJk1HnkJ9+SyBzkIY9LnmCHUv2wDPQUaDVc87+tii9W4a0PecFNocouplRiMPhp+C7xRMKnwvmKJ+snCx8NrnjbPwl5J7OF8gcpGG8o3yuq+wEepTPcbkNnpY+x7GIMwKbg3xIWEf5TF2M0b2/Ovb8kCCwOQABX+Z1ZHsaKl5Uwu7rKZyPbTHbVKp2WUVR9vE8ZKTkCKTXpI6ZFgxt9OpKZei8EBMlhaWIXrUf3hvc0LFre07H7tZPHe4BDghfshtPfn/K6dgEGDZ2MEydBbvLShr38H4Zdi2PxewgZ857TappdsLsIGfsWh6Lh/epPR4L1VXVCFsQBTMXY86r5+ov4vLO3uB0bHHx5Pen2LE0Bh4/OnC+GdGxa3t4b3BDlH88/rjzkNOxSdPUVNdg2+JoGNnpc36UT1a2NeZscENGSg5yTuRxOjZpuri1yWivpiKQo3z2S63x6nkFUsNPcT72vwn8xHVW6hVcTbuO2T+7cHbA29nfFqVFj6Rul1UUPSgoQUxAInw2u0OlcztOxpzoYYLO3Ttib2ASJ+ORluO1R7H2NccXev04GVPbZAjGORpi68IoOi8kAKbOX0JjQFfs+V6wu6zk06oq3yDULwKTZo3HUENuek0ONRyISbOoPZ6o2L16PzQGdIWpMzfVc6rdO9Ii7n94mxGmTkbQNhnCyZgDR/eDta85QuftwuuKKk7GJC0Xu+YA1DRUMdHDhJPx2qupYM4md8QEJOJBQQknY5KWOxl9DmX3H8N55XROxuNd3Jx9PA9ZqVc4GfOTcwpjkqK8Yuz/OQVzg92h3EGxxePQLqtoqij/C6HzI2G7yBL9dXvzNZbj8ml4VvocxyPPcpSOcCHi2zgM1OsHw2l6fI1j6mKMbv26CLxURlrZL7VGRXmlUHZZSdNF+cej9zBNmDga8jWOiaMheg3TRJR/PEfJCBdSw0/hrxev+a6eG6TfH1Y+E2gR9y+8o3ymLkZ8jWNkOxpfjOqHiG/jOEpGuHAs4gyePXyOmSum8TVOf93esF1kiTBqjydSck/n43xCJuZu5u8oXztVZfhuqbu4+d71BxwmbJzQ7vB+8eQlwvyiYL9sKnpraTb7+6rdO8J7vSvtsoqod+/eYec3sRg2djAMpja/16SsbGt4b3DFpZRfkE2lMiIpectRtG7dGlPntexGUl6pzJHtaRwnI7xd1isnr+GykHZZSfOkhB5HdVU1pi+0bNH3bRdZ4s3ramqPJ6IyD+fgatp1fLWuZdVzRraj0X9EH0TSIq5BqeGn8Or5X7Bfat2i79vMtwBatULylqMcJyNcyD6eh0sHs1t8lG/M1FHQMh6MHRtOIhQAACAASURBVMti6M4iEVRSWIrIlfEtPsrXZ5gm7JdZI3S+8C9uFmqzK16vyZHm2tCbrNPk773fZZ0fQbusIi5hw2G0UZDDlLkTm/ydDl1U4L3JHbEBB/BbAfdXuxPunE/IwO2cu/D40bHJ35GRkYG3kEtlpAm1xxMfl5J/QX56AWb91PT2KDIyMpgd5Izr5wuQcZDa44myorxi7AtKwdxgj2ZVz9nMtwBQ12uWfFxW6hXknLgG72ZuRnj+6IjC7CKkJ2QKMB3hF+8o35xNzTvKN2XuRMgpyCFx42EBpiP8el1R1aKjfHqWuhgxUZvZxc3C7woNYN/PKVDqoAiL2aaffJZ2WcXP2biLuH/9N7h9b//JZ/vr9sY0v8kImx9BpTJioiDzNg5vPQnfYE8oKDZ+I2k7VWX4BHsgbm2yUEtlpEVvLU3Yf0Pt8cTJ7Sv3kLT5CHxDvD7Za1JR5XP4bvFAwobDuH3lnpASEn7UVc9FwmG5TZOq57wCZ+JW1h2kJ14WQjrxd/daMeJ5mxEdlRp9VkFRHr4hXji09SR1VhATFeV/Icyv6Uf53AMccP/6bzgbd1EI6QgXeEf5jGxHf/JZS28zKKm0xb6fU4SQrGFMFsoAkLYnHaVFj+Dynd1Hn6FdVvGVf/EWjkecgW+w50d7TY6xGYWhRoOwc3ksamtrhZyQ8OPJ708RvmQ33AMc0K2feoPP9NXuiRlLrbHVLxIvn1UIOaHk05usg5Hm2tixlNrjiZtnj8oRvjAKzv626DGoe4PPaA7SgJP/dGxdEIXyxy+EnJDw4927d9i+ZA9GTRoOPUvdBp9RUFLA/4V44eB/juHXrDtCTijeeJsR9sumos+whjcj3ndWWBxNnRXEDO8on5bxYIz5yFE++bZt4LvFE8d2nkb+RWqPJ26StxxFq1Yy79d5DXFdPQO/336ItJgLQkz2IWYLZQDIO3sDp/deaLBXq9daJ9plFXNlD/7EjmUx8Ax0/KA9yhRfc3zW5jMc2JTKKB3hV011DbYujIKJoyGGj/vnjaT6ViOgO2EYLeIExGK2KZQ6KDLdZSX8qal5i22Lo2E4dRRGTPxnr8mR5towsB6B8MW7qT2eGIsPOgil9oqY/NU/q+c0BnSF+w/22LY4Gk9LnzNKJ97evXuHHUv3YMRE7Q82I3TGD4WJwxjqrCDmEjcehlwDR/nUe6nBc+1M7Fgag7IHfzJKR/h1PiEDhdlF8PzXUT45eTnM3eyOU3vOi8TFzUwXygBQWvQIUf7x8F7nCtXuHaGgpADfEC8cDDlKu6wSgNfeYaKHCYYa1bVHcQ9wwL28YpyLv8Q4HeFCzA8JUO/TBaYuxgDqSmU+b6dAizgBcVk1Aw/vPkLannTWUQgH9gYmoWPX9pjkOQ4AMMlzHDqot0fc2mTGyQgX0vacxx93/q6e0zHVgvEMA1rEcWTfzylQUmkLS28zAHWdFbr0UkNMQCLjZIQLvKN87gEOAIChRgNh5maMML9IVFdVM05H+FWQeRuHtp6Eb4gXFBTl0VlDFbN/dkbEijg8vFvGOh4AoBVXJa+tWrXqDqAEAAxhAflWbZs9xoJtX6FdJ2X86LiZ/gcigaYtmIzRljpY77EVj0uesI5DOKY3WQd2i6dgT0ACrp292aIxqmorcRF1t5IWFxc/0tTUbLiuW8xw8X78rM1nWBE7Hzu+iUVp0SOuIxLGdCcMg+PyqdgbmIzcU9dZxyEc69q3CxaGf4XziZeRuvVki8ag9+PHaZsMgbP/dCSsP4yso7lcRySMqWl2wqJdPsg6fAVJwUdYxyEck5WTxbfxC1Fe9gLBPttbNIag3o/M/0aZR2f8UPz5+1NcO3cTY6yb316IiDb1Xmro0rMTjoSnwchOn3UcwjE5eTnommkhceNh6FnotKg9Cvm4Thqq+GqdC87GXYTR9E9fgEHEi6ycLEZNGo7EDYcxynx4i9qjENFmbKePQ6EnoPlFd6h278g6jkSRlW0Nvck6SNiQCt0JWpCTl2MdiXDMyE4fR7adQpdenaDeS411HMIxQ5tRyDudj6elz6AzfijrOP8gEn+aNXUxhlqvzohdcwAHQ47h7du3jR7wJuJlqNFAmLoaIWxBFM4nZCLv3E3M+smJFlMSorOGKmYH1ZXKXE69gvi1yZgb7IF2qsqso0mEQQb9YeltitD5EUg/kIXLR3Lhvd6VFlMSokMXFXhvcEP0qv24nJqL3d8nwHuTOzp0UWEdjXBAVrY1vNe7IvPwFVxIykKoXwSs5phhkH5/1tEkQjtVZfhsdkdcYBKyjlxBxIo4zF7ngs4aqqyjEQ7w2uNdPXMD6YmZCFsQBTM34/dH+Yj4m7ZgMmr++xYpoccRE5CILr3V3h/lEwXMVyoOy6bixZ8vcGzn6fc/u5iUhVtZdz444E3Ez7iZX0JzkAb2fJ/w/mdFufeQuDEVPsEen2yPQkTbYIMBsPjKFKF+EaiqfAMAePmsAmF+kZixZAr6avdkG1DMGdsZoL9uH0SujH//s+IbvyEuMAnem9xpM0LMDRjZF1PnTULovF2ofFkJAKh8WYnQebtg4zcZA0b2ZZyQ8EOlczt4b3JH7JoDKL7x2/ufR66MR/8RfWBsZ8Awnfjrq90TM5ZMQej8vzsrVFW+Qei8XbD4yhSDDQYwTkj4odxBET7Bde3xinL/bo+3e/V+aA7SwLiZXzJMR7jgtdYJNy8V4mJS1vufHd2RhldPX8Fh2VSGyf7GbKEsK9saX61zweUjucg+nvfB73/NuoOU0OPwDfFCW+Xmn1ch7Nl9PQWvX71G6rYPz2OVP36B8IVRmPntdGgO0mCQjvBrrL0B+g7vhSj/+A9+9+7dO+xYFgMds2EfbY9CGmfjZ4F379412B7v5bMKbPWLhN3XVuir8+lek0T0GE7Tw+AxAxDxbVyDv9+1PBaDxwzAGBs6iiSO+ur0hu0iS2z1i0RF+V8f/J6q5/ijbzUCw021sGNZTIOdFaL849F3eC/ajBBTPYf0gMNyG4QvbLg9Xuq2k3j96jXsFlsxSEf41Va5LXyDPZEcfASF2UUf/D7raC4uH8nFV+tcmFefMpm9naoyvDe6Ye+PSf/YZf23p6XPEb44Gq6r7KAxoKsQExJ+vC+VSbuOzMM5H32upuYtti/ZDX0rXYw01/7oc0T0TFswGf+trkFK6PFGn9u/LgWK7f6+kZQ0jVfgTBRk3sGFAx9vj8frNTncZDD0rUYIMR3hl7WvOVq3bo2kzY1fSpO0+Qg+k5OFta+5kJIRLhhYj8Rwk8HY+U1so+3xLiZloSDzNlXPNZOltxkUlBSQsP5Qo8+lhB7H27dvMW3BZCElI1zQs9DB6Mk62L5kT6Pt8TIP5+Dq2ZuYHeTMfDFFmq7HwG5w+c4W4Yuj8exR+UefK77xG+LXJsOH8VE+of+b1VenN+wWW2HrgqgGd1n/raa6BtsWR8N4hgF0zLSEkJDwg1cqs3/dIRTlFTfpO/FBB9G+S3tMmjVesOEIJ3ilMpeSf2nS86djL6DkdilcV88QcDLx11a5Lf4vxAsH/3MMhb80rT1ewobDUFBSgOWcCQJOR7jgHuCAoqv3cT4ho0nPn9uXgaKr99+3RyGizXLOBMh/Lo+EDYeb9HxhdhFVzzWD6+oZKCksxZm9F5r0/MWkLNy8VAivtU4CTka4MGnWeLTrpIz4oINNer4o9x4SNhyGT7AHlNorCjgd4ZeOmRYMbfQQ/vXuRjdBeHjVcyyP8gl1oaxvNaJul3V547usDYkJSISaZidMcBsrmHCEb7xSma1+kXjx5GWzvnsy6izKih/DaeV0AaUj/Gqr3Ba+IV4fLZVpzLWzN3Fq93nM3exON5J+hMaArnBdPQPbFkfjaenzZn33zN4LeFBQQpsRIkzh8zbw3eKJ1PBTuJlR2Kzv3swoxNHtafDd4gn5tm0ElJDwy+17ezwoKGnyIo6HVz3n9v0Mqp77CDl5OfgGe+JU9HlcO9e89oOF2UVIDj5CmxEiztnfFmX3H+Nk9LlmfY93lM9xxTT0HNJDMOEI3yZ6mEBNQxV7A5Oa9T3eUb7hplpMqueEtlC2nDMBCopN32VtyLGdp/G8rByOy204TEa4oGehA73Jw7F9yZ5mb4Lw5KblIz0hEz6b3CErJ8txQsKPHgO7wXWVHcIXRjVaKtOYh/fK6m4kDXKmG0n/RcdMC8Z2+ti2KKrFPeTz02/hVDRtRogi9T5q8PjRETuWxuDJ709bNMbjkifYsTQGnoGOUO9D7VFEiZy8HOZudsfJqHPIT7/VojFqqmuwdWEUVc81QE2zE2YHOWPX8lg8vF/WojGePSp/f5Svx8BuHCck/JCVk4XPJnecjb+E3NP5LRqDd5Rv9GQd6FnocJyQ8MtxuQ2elj7HsYgzLR4jYf2huuo5IR/lE8pC2XX1jLpd1riLfI+VfTwPGSk51B5FhFjMGg+ljkrYF5TC91glhaWI/m4fvNe5omPX9hykI/waMVEbhjZ62LY4ukmlMo2pqnyDUL8IWMweTzeS/s8Et7FQ69EJMWsO8D3Ww/t/b0aoaXbiIB3hl7bJEJg61bXHq66q5mus6qpqhC2IgqmTEYaNHcxRQsIP3iIuYkVcixdx9VH13D8NNRyISbPG/6OzQkvxjvIZ2ujRZoSI6Ni1Pbw3uCHKPx5/3HnI93jxQQfRrpMyHeUTEbKyrTFngxsyUnKQc+LDi5ub68zeCygpFO5RPoEulLnYZW3Ig4ISxK45AO9N7lDp3I6zcUnzOfvbovRuGdL2nOdszMpXrxHqF4Epvub4Qq8fZ+OS5pvoYYKOXds3u1TmU6K+24c+w3tirL1030jquNwGzx+V49iu059+uIl4mxHmnuMw1JB6TbJk6vwluvbtgj0/JHz64WbY80MCuvVTh6kztUdhaajhQJh7juNkEVcfVc/VGWtvgF5aPRrsrMCPvYFJUNNQxUQPE07HJc0zSL8/rH3NETpvF15XVHE27snocyi7/xjO/racjUmar0MXFXhvckdMQCIeFJRwNu61czeFWj0nsIWymmYnzPppJiJWxOFR8WPOx68o/wtb/SJhu8gS/XWpPYqw1S+VyTt7QyBzRH4bh4F6/WA4TU8g45PGzVwxDU9Ln+NE5FmBjH8o9AT+W10jlTeS1u2yuiLzUA6yOdhlbUj0qn3opdUDJo6GAhmfNM5+qTVelVfi6I40gYx/dEcaXpVXYsYSa4GMTxpn4miIXlo9EL1qn0DG51XPzdngJpXVc9MXWuK/1TU4FHZCIOMfiziDp6XPpX4zghUj29EYMLLvR9vj8Sv3dD7Oxl+io3yM9NftjWkLJn+0PR6/6lfPde4h2Oo5gSyUtQwHw9xzHMIWRHG6y/pvvPYow8YOhoH1SIHNQ/5JtXtHeK9z5axUpjHJW45CprUMps6bJNB5yN94pTIXk7M4KZVpzKXkX6TuRtL2nVUwZ5M7YgIOoPgmd7usDTkUdgJvKt9g+kJLgc5D/iYjI4Ov1rkg+3geslKvCHSurNQryD11TSR6TUoTu8VWeFP5RmCLOJ4HBSWICUiEz2bpqp6b9ZMT8tMLmtxZoaVyTkj3ZgQrvN7hyVuOCnSeP+48RJR/PLw3uNFRPiEaYzMKQ40GfbI9Hr/eH+WbJdjqOc7/z+ro6Ig+Wj0FtsvakIQNh9GmbRtMmTtRaHNKq0H6/WE1xwyhfhGclso0Jj0hE7dz7sJjDbVHEbT6pTK/3fpDKHPWv5H0cwm/kVRXVxf2i2wQJqBd1oZkpGQjP72Aek0KQTtVZfhu8cC+oBTcu/5AKHMW5RVjX1AKfII9oNyB2qMIkoyMDGYHOePauZvISMkWypwV5X8hdH5d9dwXI/oKZU5WVFRUsCBkDpI2H8HtK/eEMmf9zYgOXVSEMqc08/zREYXZRUhPvCyU+V5XVCF03i5Y+5pjkH5/ocwpzax9zSEnL4cDm1KFNmfUd/vQe5gmTB2NBTJ+q9raWm4GatWqO4CSqVOn4snBasi3Ev4feIcaDoSOmZZQF+nSxMh2NDqot8fBkGNM5lft3hH2S6wR8e1eoS3SpUl/3d740lYfu5bHMplfVrY13H+yx/c7v8WtW7dQXFz8SFNTU51JGI7x3o+LFi3CLxt/ZfJ+VOncDk7+toj2jxfaIl2a9NbShKmLEXYuE+wu+sfIyMjAa+1MnI69ILRFujRRVPkcbgEOiA1IRPnjF0wyWC+cgLS7R5CSkiKR78f169cj9Zt0yL4V/q39MjIy8Ax0rNuYF9IiXZooKMrD88eZiA9Kbnb7Q67YzLfA09JnQlukSxv3AAdcOXEN+Re5u5OqOUZNHYaqXs+xceNGTt+PnC+UAcAQFkz+IAjUnY22XWSFXctjBVr2LW1E5QUjKyeL2UHOOBR2QuBl39JkjM0odOnZWai7gA2pqq2E0QptBAYGSuQfBAG270dZ2dbw+skJxyPOcnq5hrTTs9RFjy+6IWH9IdZRYL/UGsUFvwu87FuaaA7SgLmnCXZ9E8v3zf/8qKqthIZjO8TFxdH7UUCmL7TEo+LHAi/7libd+qljytyJ2LEspsXtD7liZDsaHbt2EHjZtzSRb9sGXmudkLD+EB6XPGGWo6q2ElUjHiMnJ4fT96PE1eGVPfgTO5bV9Zqk9ijc8FrrhFtZd5gvkoG/e02OtTeAtskQ1nEkgrWvOT6Tk2W+SOYJDAxkHUFi1dS8RfjXu2FgPQIjzbVZx5EIlt5mUFJpKxKLZADY93MKlFTawmK2KesoEmGkuTYMrEcg/OvdTBfJPHFxgrn8iNQ5sCkVcvJysPY1Zx1FIgwfNxRj7Q2wdWEU80UyAKQnXkZhdhE8f3RkHUUiqPdSg2egI3Ysi2G6SObJycnhfEyJWygDf/eaNPcch6FG1B6lpRSUFOAb4oWDIUfxa9Yd1nH+IXbNAXTt2wWmLoI5kyAt3AMcUHT1Ps7ty2AdhQhR3NpkdFBvj0me41hHEWsuq+zw++2HSIu5wDrKP6TFXEBp0SO4rLJjHUWsTfIch/ZqKohbm8w6ChGis3EXce/aA7gH0L0o/DBzNUaX3p0Ru+YA6yj/UJB5G4e2noRviBcUFOVZxxFbQ40GwszNGGELolBdVc06jsBI5EKZJ3rVPmgO0qD2KC2gMaAr3H+wR/jiaGbnST7l6I40vHr6CvZLqT1Kc8m3bQPfYE8c3Z6GmxmFrOMQBk5EnkVZyRM4rZzOOorYkZOXw9zN7kiLSRdYezx+5Z29gbSYdKH1mpQ0Tiuno6zkCU5Gn2MdhTCQf/EWju08Dd9gT8i3bcM6jthxWDYVL5+8wrGdp1lHadCT358ifHE03AMc0K2fRJxgEKpxM7+E5iAN7F69n3UUgZPohTIApG47iTeVb2C32Ip1FLGhY6YF4xmiUyrTmKyjufjlWB61R2kGUSuVIezknrqOC4mZmLPRndqjNFFnDVXMXueCiBVxeHi3jHWcRj28W4bIlfGYHeQM1e4dWccRC7Jyspiz0R3pCZnIPXWddRzC0PujfGtnQr2XGus4YkFWtjW817vi8pFcZB3NZR2nUbyjfCYOY6AzfijrOGLD7uspeP3qNVK3nWQdRSikYmWRkZKNq2dvYtZPTrSY+oQJbmOhptkJMQGJrKM02f38B4hfm4y5wR5op6rMOo5IGzZ2MExdjCS+VIY03W+/lmL36v3w3uhG7VE+YbDBAFh8ZYrQebvE5rLI1xVVCPWLgNUcMww2GMA6jkjr2LU9vDe4Yffq/SgpLGUdh4iA6qpqhPlFwtTVmI7yfUI7VWV4b3JHXGASim/8xjpOk8UEJEKtV2c6yvcJvPZ4V0/nI/Mw92eBRZXUrBqLcu8hcWMqfII9oKjyOes4IslxuQ2el5WLbKlMY14+q0CYXyRmLJmCvto9WccRSabOX0JjQFfs+SGBdRQiYipfViJ0fgSmzpuEASMlu1drSxnPMEDf4b0Q5R/POkqLRK6MRz/d3jC2M2AdRSR9odcP1r7mCJ23C5UvK1nHISJmz/f7oTlIA+Nmfsk6ikjqq9Mbdl9bYatfJF4+q2Adp9mO7TyNV09fwWHZVNZRRJJyB0X4BHtg/7pDKLp6n3UcoZKahTIAlD9+gfCFUXBaOR09h/RgHUdk8EplMg9fQfbxPNZxWuzdu3fYsSwGw021MNpSl3UckWL39RT89eI1UsNPsY5CRFjEt3EYPGYADKfpsY4iUqYtmIy3NW+REnqcdRS+HAw5hrdv32Lagsmso4gUw2l6GKTfHxHf0o3S5ONSt53E61evYff1FNZRRIq+1QgMHzcYO79h00OeK1lHc3H5SC6817vSUaR6eg7pAYflNtjqF4kXT16yjiN0UrVQBv5uj6JvpUvtUQCodG6HOZvcEbvmgFiVyjQmYf0htFVuC0tvM9ZRmHtfKpN2XapKZUjLJW0+gtatW1N7lP/xWuuEm5cKcTEpi3UUTlxMykJB5m14rXViHUUkTJ03Ca1bt0bS5iOsoxAxkHk4B1fP3MDsIGc6ygfAcs4EKCgpIGH9YdZROFF84zfEBSbBe5M7HeUDoGehg9GTdbB9yR6x3gThh9T+Vx63Nhnt1VQwadZ41lGY6avTG7aLLBHmF4mK8r9Yx+HUmb0XUFJYCtfVM1hHYUa5gyLm8kpl8opZxyFi5HxCBoqu3pfq9ihtldvCN8QLycFHUJhdxDoOp37NuoODIUfhG+KFtsptWcdhxmONA25fuYfzCdQejzRdUe497F93CD7BHlDuoMg6DjOuq2fgQUEJzuwVrfZ4/Hr5rAJbeUf5dHqzjsOMxSxTKKsqIT7oIOsoTEntQhkATkafQ1nxn3CWwvYoBtYjMdxE/EtlGnPt3E2cij4P32APqWuP0ltLE/bf2CBMSktlCP9uZhTiyPZTUtkepcfAbnBdZYfwxdF49qicdRyBeFr6HOGLo+G6yg4aA7qyjiNUCory8A32xOFtp1BA7fFIC7x48hLbFkTCYbmN1B3l47XHOxV9Hvnpt1jHEYj3R/nGDYG+1QjWcYTO2d8WD++V4dTu86yjMCfVC2UAyE27jvMJmZi72R2ycrKs4wiFlc8EyH8uj4QNklEq05iH98uwa/lezA5yRmcNVdZxhELPQgcjzbWxY6n0lsoQbvxZ8rSuPUqgI9T7SEd7FB0zLRja6GHb4miRb4/Hr5rqGmxbHA0jO33omGmxjiMU3fqpwz3AAeFLduPJ709ZxyFi7O3bd9i+ZA9GT9aBnoUO6zhCoabZCbODnOva490X7fZ4XEhYfwgKSgqwnDOBdRShkJWThc8md5yNv4SrZ/JZxxEJUr9QBoCSwlJEroyH9wY3dOzannUcgXL73h7FNyWvVKYxVZVvEOoXAYvZ4zFkzBes4wiUxWxTKHVUwr6fU1hHIRKiuqoaYQuiYOpkBG2TIazjCNREDxOoaahib2AS6yhCFbvmANQ0VDHRw4R1FIHSNhmCcY6G2LowSuI3QYjwxAcdRLtOyrCYbco6ikANNRyISV7jEOoXITbt8bhwZu8FPCgokfijfKrdO8J7gxui/OPxx52HrOOIDFoo/8/riiqEztsFa19zfKHXj3UczvFKZY5HnJHYUplPifpuH3pr98RYe8lsj+LynR1Kix4hbQ+VyhDu7fkhAd37q8PUWTLbozgut8HT0uc4FnGGdRQmjkWcwbOHz+G4fBrrKAJh6mKMrn27UHs8IhAno8/h0b0yOPvbso4iEGMdxqCXVg9EfbePdRQm8tNv4VT0eczd7C6RR/kG6feH1RwzhM7bhdcVVazjiBRaKP9LxLdxGKjXT6Lao9QvlSl78CfrOEwdCj2O/1bXYPpCS9ZROMMrlTkTdxF5Z2+wjkMkWGr4Kbwqr4T9UmvWUTgjK9sacza4ISMlBzknxLc9Hheyj+chIyUbcza4SVR7FPul1nj1vAJHd6SxjkIkWO7pfJyNvwSfTZJ1lG/6QktUv67GobATrKMw9fB+GSJWxGF2kDPUNDuxjsMZI9vR6D+iDyJXxrOOIpJoodyA5C1HIdNaBlPnTWIdhW9DvxwIc0/pK5VpzKXkX5CfXoBZEtAeRbV7R3ivc6VSGSI0WalXkHPiGrzXuYh9e5QOXVTgs9kdMQGJeFBQwjqOSHhQUIKYgET4bHaHSud2rOPwRUZGBl+tc0H28TxkpV5hHYdIgT/uPESUfzy817tCtXtH1nH4wmsvmZ9egIyUbNZxRALvKN+kWeMx1HAg6zh8s5lvAQA4GHKMcRLRJd5/yhGg9IRM3M65C88fHVlHaTETR0P0HKKB6FXSWSrTmNtX7iEp+IhYt0d5XyrjF0GlMkSo7l4rRnxQCny3eIhtr8n+ur0xbcFkhM6XvPZ4/Koo/wuh8yNhu8gS/XXFsz1KO1Vl+AR7IH5tMu5df8A6DpEiryuqEDo/AlZzzDBIvz/rOC2iqPI55gZ7IGHDYdy+co91HJET5R+PXlo9MNZhDOsoLea11gm3su4gPfEy6ygijRbKjSjIvI1DW0/CN8QLCoryrOM0i+0iS7ypfIPDW0+yjiKynj0qR/jCKLh8Z4seA7uxjtMsxnYGVCpDmHrx5CVC50fCfpk1emtpso7TLGNsRmGo0SCJbo/Hr3fv3mHnN7EYajQIBtYjWcdplr7aPWG/zBpb/SLx8lkF6zhESkWujEf/EX1gZDuadZRm0RykAaeV07FtYRTKH79gHUdkHQo7gerX1WJ3lE9BUR6+IV44GHIUv2bdYR1H5LWqra3lZqBWrTQBFAPASJigDRQ4GVcUyMnJwjvIAwfDjqLkzh+s4zRKRkYG3j+54XT8BdzOLWIdR2y4rLBH4ZU7+OVELuson2TrZ40nfzzFucSLrKNw7g1eIxtnAQB37tx51LdvX3XGkTghye9HAJi5dDqKC0qQkfoL6yifNM13Ml4+q0BaHF1611SmjsZQaq+I5LAjrKN80hgrPWgO7I69Px9gHYVzTnSg1gAAAj1JREFU9H4UT2NtDaHarSMSg0W/G4WeuS76D++DPWv3s44iNr4Y0Rcmdl9i2zdR4GpNJSg9BnSD9RwLhC+LRLWE3fwvsPdjbW0tJx8AIwDUSvLH39+/dty4ccxzfOyjoqJS+5///Ke2c+fOzLOI48fDw6PW09OTeY7GPoGBgbV6enrMcwjjc+nSpTKu3k+sP5CC96Ozs3Ott7c38xyNfQICAmoNDQ2Z5xDHj6GhYe0PP/zAPEdjH29v71pnZ2fmOYTxofejeH309PRqAwMDmedo7OPp6Vnr4eHBPIc4fjp37lwbEhJSq6KiwjzLxz7jx4+v9ff3Z55DGB8u349c/o3yCAB02p8QwolLly49NjAwUGOdgwv0fiSEcInej4QQ0jAu349c3l+fD2BkVFTUTENDQ0dZWcm5Gp8QIhw1NTUoKyuTAQBtbW1JuoaY3o+EEL7Q+5EQQhomqPcjZ3+jTAghhBBCCCGESAK69ZoQQgghhBBCCKmHFsqEEEIIIYQQQkg9tFAmhBBCCCGEEELqoYUyIYQQQgghhBBSDy2UCSGEEEIIIYSQemihTAghhBBCCCGE1EMLZUIIIYQQQgghpB5aKBNCCCGEEEIIIfXQQpkQQgghhBBCCKmHFsqEEEIIIYQQQkg9tFAmhBBCCCGEEELqoYUyIYQQQgghhBBSDy2UCSGEEEIIIYSQemihTAghhBBCCCGE1EMLZUIIIYQQQgghpB5aKBNCCCGEEEIIIfXQQpkQQgghhBBCCKnn/wF3JLyb73n9tQAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Inject another shifted source in a new map\n", "phi0 = np.deg2rad(45-.03)\n", "disc_pix = mEq.query_disc(hmap.ang2vec(theta0, phi0), 3*sigma)\n", "\n", "mShift = HealpixMap.moc_from_pixels(mEq.nside, disc_pix, density=True)\n", "\n", "for pix in range(mShift.npix):\n", " \n", " theta,phi = mShift.pix2ang(pix)\n", " \n", " mShift[pix] = exp(-((theta-theta0)**2 + (phi-phi0)**2) / 2 / sigma**2)\n", " \n", "#Multiply\n", "mRes = m * mShift\n", "\n", "# Plot side by side\n", "fig,axes = plt.subplots(1,3, dpi=200, subplot_kw = {'projection': 'cartview', 'lonra': lonra, 'latra': latra})\n", "\n", "axes[0].set_title(\"m\", size= 5);\n", "axes[1].set_title(\"mShift\", size= 5);\n", "axes[2].set_title(\"m * mShift\", size= 5);\n", "\n", "m.plot(axes[0], cbar = False);\n", "mShift.plot(axes[1], cbar = False);\n", "mRes.plot(axes[2], cbar = False);\n", "\n", "# Show grid\n", "m.plot_grid(axes[0], color='white', linewidth = .1)\n", "mShift.plot_grid(axes[1], color='white', linewidth = .1)\n", "mRes.plot_grid(axes[2], color='white', linewidth = .1);" ] } ], "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": "3.8.6" } }, "nbformat": 4, "nbformat_minor": 4 }