{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Computer session 1" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Basics in Python" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "ExecuteTime": { "end_time": "2025-02-18T16:16:34.054857Z", "start_time": "2025-02-18T16:16:33.430974Z" } }, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Exercice 2.16" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Consider the matrix $A$ defined as: \n", "$$\\begin{pmatrix}4&6&-2&3\\\\2&-1&0&1\\\\-7&0&1&12\\end{pmatrix}.$$\n", "\n", "1. Define $A$ as a `numpy.array`." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "ExecuteTime": { "end_time": "2025-02-18T16:16:34.991206Z", "start_time": "2025-02-18T16:16:34.987118Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[ 4 6 -2 3]\n", " [ 2 -1 0 1]\n", " [-7 0 1 12]]\n" ] } ], "source": [ "A = np.array([[4, 6, -2, 3], [2, -1, 0, 1], [-7, 0, 1, 12]])\n", "print(A)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "2. Print the first line and the second column of $A$." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "ExecuteTime": { "end_time": "2025-02-18T16:16:35.419774Z", "start_time": "2025-02-18T16:16:35.416576Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 4 6 -2 3]\n", "[ 6 -1 0]\n" ] } ], "source": [ "print(A[0,])\n", "print(A[:, 1])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "3. Create a new matrix `Ac` as a copy of $A$. Modify it by multiplying the first two\n", " lines by 2 and (then) divide its last column by 3." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "ExecuteTime": { "end_time": "2025-02-18T16:16:35.744187Z", "start_time": "2025-02-18T16:16:35.737424Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[ 8. 12. -4. 2. ]\n", " [ 4. -2. 0. 0.66666667]\n", " [-7. 0. 1. 4. ]]\n" ] } ], "source": [ "Ac = A.copy().astype(float)\n", "Ac[0,] = 2 * Ac[0,]\n", "Ac[1,] = 2 * Ac[1,]\n", "Ac[:, 3] = Ac[:, 3] / 3\n", "print(Ac)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "4. Define the new matrix $B$\n", " $$\\begin{pmatrix}4&5&6\\\\5&10&15\\\\1&1&1\\end{pmatrix}.$$" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "ExecuteTime": { "end_time": "2025-02-18T16:16:36.073319Z", "start_time": "2025-02-18T16:16:36.070480Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[ 4 5 6]\n", " [ 5 10 15]\n", " [ 1 1 1]]\n" ] } ], "source": [ "B = np.array([[4, 5, 6], [5, 10, 15], [1, 1, 1]])\n", "print(B)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "5. Go back to the initial matrix $A$. Create a matrix $C\\in M_{33}(\\mathbb{R})$\n", " as a sub-matrix of $A$ defined by $1\\leq i,j\\leq 3, c_{ij}=a_{ij}$." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "ExecuteTime": { "end_time": "2025-02-18T16:16:36.494442Z", "start_time": "2025-02-18T16:16:36.491672Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[ 4 6 -2]\n", " [ 2 -1 0]\n", " [-7 0 1]]\n" ] } ], "source": [ "C = A.copy()[:3, :3]\n", "print(C)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "6. Matrix product:\n", " - Create $D = BA$ (using `numpy.dot`).\n", " - Create $E = B\\cdot C$ where $\\cdot$ denotes the Hadamard product of\n", " matrices : $$\\forall 1\\leq i,j\\leq 3,\\quad e_{ij}=c_{ij}b_{ij}.$$" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "ExecuteTime": { "end_time": "2025-02-18T16:16:37.059366Z", "start_time": "2025-02-18T16:16:37.055617Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[-16 19 -2 89]\n", " [-65 20 5 205]\n", " [ -1 5 -1 16]]\n", "[[ 16 30 -12]\n", " [ 10 -10 0]\n", " [ -7 0 1]]\n" ] } ], "source": [ "D = B.dot(A)\n", "print(D)\n", "\n", "E = B * C\n", "print(E)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "7. Compute the sum of all elements of $E$, and create the vector\n", " $Y\\in\\mathbb{R}^3$ whose coordinates are given, for $1\\leq i \\leq 3$, by\n", " $y_i=\\sum_{j=1}^{4}d_{ij}$." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "ExecuteTime": { "end_time": "2025-02-18T16:16:37.430599Z", "start_time": "2025-02-18T16:16:37.427671Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "28\n", "[ 90 165 19]\n" ] } ], "source": [ "print(np.sum(E))\n", "Y = np.sum(D, axis=1)\n", "print(Y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Plotting curves\n", "\n", "The basic command for plotting curves is `plot(x,y)`. In this expression, `x`\n", "et `y` are (`numpy.array`) with the same size which can be either declared or generated.\n", "You should use `numpy.linspace(a,b,N)` to represent as a list the interval $(a, b)$ with $N$\n", "(uniform) discretisation points.\n", "\n", "The functions `title`, `axis`, `legend`, `x/ylabel` are useful for the presentation\n", "of the graphs. The typical code will write as follows:\n", "\n", "```{python}\n", "def f(x) : \n", " return .... # The function\n", "\n", "xx = linspace (a ,b , N) #\n", "plot( xx , f(xx) , 'color') # 'color' is optional but allows to choose the color of the curve\n", "axis('equal') # the two axis are at the same scale\n", "title(\"Graph\")\n", "legend (\"f\")\n", "xlabel(\"\\$ x\\$-axis\")\n", "ylabel(\"\\$y\\$-axis\")\n", "```\n", "\n", "### Exercice 2.17\n", "\n", "1. Plot the graph of $f:x\\mapsto x^2 \\cos(10x)$ on $(-\\pi;\\pi)$ in green." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "ExecuteTime": { "end_time": "2025-02-18T16:16:37.862027Z", "start_time": "2025-02-18T16:16:37.763126Z" } }, "outputs": [ { "data": { "text/plain": [ "(np.float64(-3.4557519189487724),\n", " np.float64(3.4557519189487724),\n", " np.float64(-8.908050823210235),\n", " np.float64(10.76377845938934))" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def f(x):\n", " return x**2 * np.cos(10 * x)\n", "\n", "\n", "xx = np.linspace(-np.pi, np.pi, 1000)\n", "\n", "plt.plot(xx, f(xx), color=\"green\")\n", "plt.axis(\"equal\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "2. Plot, on the same graph, the functions $f_n : x\\mapsto x^2 \\cos(nx)$ pour $x\\in\n", "(−\\pi, \\pi)$ for $n = 0, 1, \\dots , 10$. Observe that if we create a graph using\n", "`plt.plot(xx,f(xx),...)`, we can call back the function `plt.plot(xx,g(xx),....)`\n", "to draw another graph on the same figure." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "ExecuteTime": { "end_time": "2025-02-18T16:16:38.611125Z", "start_time": "2025-02-18T16:16:38.445164Z" } }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def g(x, n):\n", " return x**2 * np.cos(x * n)\n", "\n", "\n", "xx = np.linspace(-np.pi, np.pi, 1000)\n", "nn = np.arange(0, 11, 1)\n", "for N in nn:\n", " plt.plot(xx, g(xx, N), label=f\"n = {N}\")\n", "plt.plot(xx, f(xx), color=\"black\")\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, the `numpy.contour` function is extremely useful to plot level-sets of functions\n", "of several variables. To do so, we consider a function $f$ of two variables and we\n", "generate an array containing all the values of $f$ as follows: once $f$ and the two\n", "domains of definition are give, we can write:\n", "\n", "```{python}\n", "z =[[f(x,y) for x in ...] for y in ..]\n", "```\n", "\n", "The function fonction `plt.contour(x domain,y domain,Z,N)` plots `N` level sets.\n", "The `plt.colorbar()` command allows for a tuning of the colour scheme.\n", "\n", "\n", "### Exercise 2.18\n", "\n", "Plot 20 level sets of\n", "$$f : (x, y) \\mapsto e^{−x^2} \\sin(\\pi x − y)$$\n", "for $(x, y) \\in (−4, 4)^2$. Toy around with the options `cmap='inferno'`,\n", "`cmap='plasma'`...\n" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "ExecuteTime": { "end_time": "2025-02-18T16:16:39.454689Z", "start_time": "2025-02-18T16:16:39.302487Z" } }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAhUAAAGiCAYAAABQwzQuAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguNCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8fJSN1AAAACXBIWXMAAA9hAAAPYQGoP6dpAAEAAElEQVR4nOy9d5gkV3X+/6mqjpNzjpvzbA5ahdUqRxQQAmQyGCzwl/BzIDhhbIQxxhgb5ICFbIERwUgkRZSllTbnnGd2cuycqur+/jjVPbvavDuzs437fZ55Zqa7wq3qcN97znveoymlFDnkkEMOOeSQQw4XCX2iB5BDDjnkkEMOOfxuIEcqcsghhxxyyCGHMUGOVOSQQw455JBDDmOCHKnIIYcccsghhxzGBDlSkUMOOeSQQw45jAlypCKHHHLIIYccchgT5EhFDjnkkEMOOeQwJsiRihxyyCGHHHLIYUyQIxU55JBDDjnkkMOYIEcqcsghhxxyyCGHMcElIxUPPfQQmqbxmc985lKdMocccsghhxxyuIS4JKRi/fr1/Pu//zvz5s27FKfLIYcccsghhxwmAONOKsLhMA888AD/8R//QWlp6XifLocccsghhxzGFQpzTH5+F+Ea7xN88pOf5LbbbuP666/nb/7mb864bSKRIJFIZP63bZuhoSHKy8vRNG28h5pDDjnkkEMWQylFKBSirq4OXR+/NXM0/hjJ5MWTAr/nffh8vjEY0eWDcSUVjz/+OJs2bWL9+vXntP1DDz3El7/85fEcUg455JBDDr/j6OjooKGhYVyOHY/HmdL6WXp6Ahd9rJqav+Dw4cO/U8Ri3EhFR0cHn/70p3nuuefO+YZ94Qtf4HOf+1zm/0AgQFNTEx0dHRQVFZ11/5Fte9nymb/FU1bMip9+O2ujG5s/+1UCW/fQ+rF30fye2yd6OBcEpRQbP/7nhA+0M/nBB2h8503nvG9iOMSvb/tjAN7x23/Clec9aZvuTQf55Uf/meLmSt79xJcuaqxrvvFztv/Pq9Qumsyd//GHHHtxI2v/7D/wVxSz/MsfYNv/9zVchXk0XjuHoRdeonTxDNS+dXjqavDG9oKh4ysPgp3CU69DcgRj6nwY2QrT34cKPA8Fs7EqJ2PHtuOuehCjeDWhwJcBRUHRH6Prp35/h0P/im114vPfiWF6SXb+JRhFuPra0VLDkCpDG9yFHfOhwjFSI/ko00t8oABLKyQ6aBCJ+UnZXgJBHyqvkKEhm6SngGDQJO7yEY1Y1F4xg+0v7WXx3YsYDCTY+MwOrrh3ER/7x/sB+MYfPMYrT2xi0uw6vvns5zBcBkop3jf3LwgMhPnGbz7N9EUtmXH/+Q3f5NjeHj732EeZe800/vUD/87+Nw5w/0P3seiuhXxj6ZewkxYff+bzaJbFT+75KobXzYdeeQjD4+Klj3+doe2HWPiF99F6x0oAbNNi7Xs/R2JgmFl/9iBVq5df1Os+UTAjUdbc+4fYyRSL/uNvKJzcNNFDuiAc/Pcf0/H4b6i95Wqm//FHJ3o4AASDQRobGyksLBy3cySTSXp6ArR3HD6neel0CAaDNDW2kkwmc6TiXLBx40b6+vpYtGhR5jHLsnj11Vf5l3/5FxKJBIZhnLCP1+vF6z15AikqKjqnF2/o0DHyXW4qF82luLj44i9iAhDvHcDcdYh8l5up77gB30W8aScSw1t2o450U5ifz7R7b8ZddO4f8v6DveQZHvJqyiirqTzlNgGPD7/hoSAv/6I+2LGhEEd+sRG/4eHqP7yboqIi+p/bRJ7hYea915HYuIt8l5uaa5aR2vg6BS4X5Xk6CbeLotY61IEDeFqaMSJb0Mrrcet7oLAAwz4IeRoUgTJ1aLiSlL0ODBfeqjZw22jKA7goLK4/JQG27RGwBwAfBUVLMXu+i6/Ahe6bijGyHfLKoGM3Wp6OFYmjCopIBXVsbxFut04srGF4vZhRHy5PAaZLIxiGfI+PaESjsLCQyJBFdXMVRzd249G9zLl2Hv/y4I9wa17e9Ue3U1RUxNpndvDGkzvwGF4+/28fpbRsVBs1Z/E01j67g869Qyy5dlSIHR9O4da8NLTUUlRURLA9hEf3MmneJBK9EdymgbekgOZZLex58i38hofaeZMprSgjFY2T2NdNnuFhyqrF5Duv7+BbW3CNhPFXlDHp1mvRPe4Lft0nEj1rtuK3IW9yM3XzZ2ft4sfad5R8l5v6ZQsu6jM4HrgU97S4qOyirlsbf/XBhGDckk7XXXcd27dvZ8uWLZmfxYsX88ADD7Bly5aTCMVYILB1LwAlc6eP+bEvFfpfXQ9KUTJ/Jr7TTKjZgK4nngeg5uarcBef36ohdLQHgMKW2tNuY6Ukn2m4L+6DuePx1zDjKarmNNO4ciax/hF639wBQOs7rqL/5XUylsYKrHAYd1kpqSN7ANBNCX8aRR4AXJXlAGh188CMgLccFZX3pFY0A+ww4ELzNmPbw3IMvfS0X4Cp5EY5vtGEZltYwVdln1hMNvC0oAHKVQ422CkfoGEGUqDpmCk3JvJYPGSBYZC0DFzlpSg09IICQKNyZgPxcIKyhjI2PLcbpRSLbplD48xaDm4/xt9++BEA7n5wNdMXNp8wxiltEmI+vKsr85hlWgQHIwAUVxUSjyQY7hwBoGpyFd07jgFQM0vIVM/mQ/L//EkA9G/cizIt8usqyK8f/QwMvL4BgMpVy7KWUAB0/eoFAKqvvyJrCYUZiRLcdQCAkrYZEzyaHC4njBtVKiwsZM6cOSc8lp+fT3l5+UmPjwVinb0MvrUFgJKFs8b8+JcKQ2u3AlB+xcIJHsmFw4zE6Ht5LQB1d1x33vuHO3oBKGiqHtNxvR22ZbPzJ68B0Pb+1WiaRsdz61C2orxtCioaJtE3iOH3YvXJpFk8bxrW5ufRCwuxju0GQIt2ogBNk4lULyyFOKiKxRDfBpoL5SmQbb0taJobWwkh0fRTR9RsO0Ai/hIAHu8KzMDzgInmnYp2bI1sFJDJWYXCss9IDDQvVtKDRR4ojXjEBpeXlGVgeSXEOtwXBaC/KwjAsUODAMy+YTZP/qvcj/u+cAv9XSN8/h3/TCQQY84Vk/nIX9150jjLqmX8gcFw5rGR3hDKVhgunaLKAjq2yTgLKwooKMune0cHALWzGwHo2rBf/l80GYCeNULqqleMfk8opeh/zSEVVy4+5T3LBoQPHGV44040Q6fujtUTPZwLxuCbW1CmRV5TLXmNpyf/Ofzfw++Mo+ah7/0EZVmULW+jaMbkiR7OBcE2TYY37QSgbGn2enr0vfQWdiJJXlMtRbOnnPf+4fY+AArHmVQceWkb4e5hfCX5TL5ZSNzRp94CoOnmZfS98CYApUvmEVgrEQtPnqws8yY3gZlEr6hABTpBNyAgUQmcKIRWVCP/F7WhUjKx6j5ZjStbJnRdO3X4NBF7BkhiGM0YrvlYgWcAMDxTwQyAqwQGtgM6KhRDGfmolIFNESiNZMgG3SCVcmHhBTQiQRPNZRCL2/jKCkmZioopNbTv7MJwGwyPxAFYfvcCWuY28ONvPsdQb5DWWXX87U8fxOv3nDTOorJ8AIJDkcxjQ10jct9qitF1nZ79QhJrpsn96NoupKJubiOxoTDDByUyVbtQ3is9a7bL/1eMkorw/iMkegfRfV5KF4/9ouRSoeMnTwNQec3SrI5E9r8q4vuKq5ZM8EhyuNxwSUnFyy+/zLe+9a0xP27k8DF6npEV1uRPvGfMj3+pENixHysax11SSOG0lokezgWj5xkJ09fccs0FhXczkYrGqjEd1/FIxZK8/tDPAJh135W4vG7CHX0M7TiEpms0Xr+I7qflOkqn1WOFwrhKSjDbZVXt8tkAeOpllabXTwIzBnmVEJBJEV1SNFrxEuz4QXnIKxNnmlScKlJhmR2kUpL68PnvRMV3oJLHQPejhbplI6NSUh+eOlBgp4Q4mIGkk/pwYSp5LBa20FwukrYB+ZLyMF3yHH6JXrTdMo8NT0uE4LoPrCA0HOHp/5aIyCe+9k4KSvJOeR8zpGLwOFLRPSL3rVaurWefkIaaqdXYlk3PLiFYtXMb6d4kIfTSyTX4ywqIdA0QOtKDZuhULZ2ZOWb/qxKlKF82D8N3su4qG5AKhOh5Vt5TjfffNsGjuXDYqRSDazYBQo5yyOF4/E5EKrp+/SIoRcVVi7M2SgEw4kQpShfNQRvHGuvxRHIkmIm21Nx05Xnvr5QifEwiFWciFen7oyz7AkYJm//zeYLHBiioLWXxJ24G4OhTEpmoWjqL6MGjJAeGcZcUooIDABQvbiPVcRh0DdUnOgBdl9W9y9GN6DVzRE/hKUXF22WsxQtQCSEVmk/en7aSdIGm5Z80tmTidQDc7gUYrkasgOTgjcKrYOBF2WjoiFx/QNIodjABuhsr4XZSHzrxiAKXC9MySOlCIgL9UdA0+tpH0HSNA9s7AShtrSQSiFHRUMrsq6by4289TzySYNKcehatPn3O3F8opCQeiWceGzgmkZry+hIAuvc6pGJaDf37ezDjKTz5Xspbq+jaIKSidpGQre7XtwFQNncSnqLRe9P3krw22bwyHly7FTuRIn9SI8Xzslf31fvbNZjhKN7KUoovIBKZw+82snPmOg7Ktul9XlZUtbetmtjBXASUUpmQYsn8mWfZ+vLF4JrNYCsKpjbjrzv/9EUyGCEVEiFifl3FabdzO6F4M54673OEe4bZ9L1nAVj5J/fiKfBjpUwO/FQ0DC13rqTnWYl8VV13BYG35HXxl/kB8La2Yo/0gtuDGhBdBfYQAFqBaCdU5QqICpEgfxLKFGKie530h5JJWNNOjADYdoRUSiIdHu+VKJXCCgnJ0PUGSA2Bng/BdtC9qGAQpftQSReWkijE8amPlO0GNCIhSX0kbJ38+gpsNIqbKkklLJraGtnyikRgVn9gBSN9IZ74rtyLD/3FHWeMNp3qqYEOIRWVjWUAdO+V6ErdjFo6tx6Vv+c2oRs6nev2AdCwTCbZrle2AFB/9fzM8cKHOogc7EBzGVm9Mh5aL4SpfPn8rBVoKqXo+NFvAGh45y1o4yC4zyG7kfWkYmTbXhHT5fspX7FgoodzwRh6awuhPYfQfV6qr79ioodzweh/LZ1rvTAxXaRTJl9fRTEu/+nD3C5fmlQkz/scb37zScxYktqFk5lyi5Q8dzyzlnj/CP7KEmqvnEefU/VROruV1OAgut+P3SsToq9Kwvru1ikQD4GvEIZ3ycEtET1qpZMBBb56VFpj4a5DMxwSkSEVJ9anp5KbABPdqEM3GrAjm6RqxFUGwyLixaiQ1Ie7Xg5l+gENK5P6cGdSH4moQvN6SNkGllsqQYIj4lobiVsAzFw9i31rD6MbOqseWM4Pvv408WiSmUtbWXHrmbU96clRqdHHBjqEYFU0lpGIJBg4Kvekdvooqaif30wiGKV/l6OvWDIVM5qgd53cx7prRj/Lvb99A5DJ2F14cmQnG6CUYmidE4XJYr3UyKZdhPYdRvd6qL/r+okeTg6XIbKeVPT9VqIUVdcsxfCeLCTLFhz57ycBaLj7Bjyl2emxYSdTDDkVOJVXX1iYOtLZD3BCKeGp4PJJSWEqljjjdm9H/6529v5CKlOu/OK7MpPivh8+B8CU91zP8FubseMJ/A3VmL2SHihaOI/YDskj66kRANylQhCMpmlgJaGgdnTi90hUQyucN6qn8I2m5tQpSIVSilTSEYR6lqFpGlbwFTlH/gro+7VsOCxpFXtItCdWIAm6y0l95DtVHwoMSX0knGhFKJBEdxmMDETx5HnpOjqE7tLp6ZQUyqJb5hAOxvjNIxIZ+chfveOsK+pRUjHKKvqdSEVFY2lGpFlYUUBhRQFdW2XsdfOaJPWhFCUt1RRUl9C7bhd20iS/vpKiyXWZ4/Y+J6Si+oaVZxzL5YxoexeJ3kE0tyurSzCPPvYkIFHh8y0Vz+H/BrKeVAxvFHFZNodFo8d6GNm8C3SNxix10AQIbN+HFUvgKSumcPqkCzpGpEsiFWdKfQB4nXx7MhTDPg9dxabvCXmYevsSqueK58LQ7iMM7z6K7nYx+d5V9DpVH9U3XEngLZnk82tLwUzhrqnHbBfNCHGZMI0CIQZ6zWywouCtQKVER6AVzUMlRDegec+s97GtLmy7F3Dhds9H2UmssIxFN3U5tqcWQl2g+yAcRrkKUCkXtp2PpD6s0dSH5QI0omEL3eMmaeu4S4tQaBQ2VQIa01ZO5fWfiSj0hg+v5B8++QPMlMWym+aw4Jqz5/2TCUk/ub1Sna6Uou+IRCaqmsvpdPwramfUkowm6NktJK1hQQvdm4Rs1S2WvHzfekkl1awYNYQa2bKb2LEeDL/3gqNflwP6X3EiXwtmYfiz0z0xU7avazRl8fdUDuOLrCYVyeEAkcOiJM9mHULP07IaLVs6D19V+QSP5sIx+OZmAMqWzLvgnHGGVNSe+T74ywpA01C2Ij4SPuO2aQQ7BjjwtEygiz42aht+6OeiyG+4bhGG28hEW0oXzCB24KAIB8IyLv/UFiklLatC9Tgpj6RDIPKd1EbVlRASXYRW1HZcpOI4UZsmUTWFpG9se4Ro9AcAuNwz0XQ/dnQz2FFwlaP6ReOh6U7qw5BIjp3KAzTMoAm6gZl0k7Kd1EccNI8X09ZJ6R5AY7BX7lVvt1PSmu8jGUsxaX4j/X1Bdrx5EH+Bl09/693ndE/jERm/z7FSDw9HiQZFE1PVXE7XbiEVDbPr6drWjrJsCmtKKK4rpXtjWqQpZKt3nZCKqqWjPjNdv3SMom64Elee/5zGdDmi70UpVc5Wa3GAka1i+lY0a0rOmyKH0yKrSUX6TZ4/uTFrQ3HKtul+SkhF7a2rJnYwFwErnqDrNyLuq7jmwhX60R7Jx+edhVToLgNfiUQrogOhs48vmeKFL/43ylY0XTmLihniBGnGErQ7VR+T7rmGgTc2YidT5DXVYvXKhJg/fRrx7VLS6PKIDsHT3Ay2iVbWCAPbnJNI2J/yNkj0ADoqb7KUg3Ji+kPDcYRUKWx7hEj431D2IJpehs9/h4xt6OcAGP75aIGNcrx+8cJIpz7s4ShoBlbSjWWLtiIRUeByY1oG8aQGaAQDKXS3QTypKGmuYLgvhL/Iz6YXRSh552eu59dO2uNdn76e6qZzI7fxqKSffPlCkvqOCPkqrSnCm+fJRCrqZtZxbIvoKRrmN2MlU/TtkP9rF04mMRwisE/0FVWLJT2QCkXoe1Fem7o7z99E7XJBrKuP0J5DoGtUXp29EdWRbfJ9m83pmxzGH1lNKgJb02/y7I1SBHfuJ97dj5Hvv2AdwuWAvhfeJDUcxFdTcVFfnNFumZTORioA8irFOCraf/ZugWv+4Uk61+3Dne9j5Z/em3n82IsbSYVj5NdVULVkBn0vyYqy8trlDL8q0YGC6c3Y4SB6QSF2j0zCuldSLkb9JLBTUFAHI5KK0/wlcvD8KWD1AQqMMjRXWea8mhOpsFWIWPRnGUKRX/BxdL0EO74fO7oFMNAdQSWF89DCR0FzQzSB8pShTANLiXtmMmyD4SJlukiaBqARS4CR78dUGlqeRDW0PCEf1TNqiQRi1EyupGpyJdte34+ua9zygXPXLsTCQir8TqSi97CT+mipQClF5y5Jd9TPqqPrOJFm3/ajWEkTf1khxc1VmdRH0eR6fOXyuva/si5TgnkhJmqXC3qfF01IyfxZeMqyUy8FSIoWKJmXIxUTie9+97u0trbi8/lYtGgRr7322hm3/853vsPMmTPx+/1Mnz6d//7v/x7X8WUtqVBKMbxFvoiKZ0+d4NFcONLW4uUrFmStqQ9A168lSlF35/XorgsvM4v2ymo/r6bsLFtCcYPoLkaO9p1xu2Nv7WXroxJGv/EfPkz5tPrMc+1Pi2iz+fYrsFNmJvVRtngWoS0SgfA40Qn/nDas7kOSDgnKBKn75SOk1y2A1AgYeSjbseAuasOOS4j/hNQHYLhEc5KMv4Jl7gN08vI/gq5Lsy5z6BeyX+HV0C9j1yx5fyhdCJcdF82EFbRBk9RH0pQ0RzIGeDyYtk7MiVYMOx4Vh3dJiefwsIhFr//gFTz5ry8DsPKONirrRxuGnQ2hYbH8LnREq90H5bWonVzJ0LFhIsNRdJdO7fTaTKSivq2ZrnTqY/EU6f/xluNtsmJ25tgDji131bXLs7cE07LodPrg1GVxyXu0o5vo0S40w6Bk4eyz75DDuODHP/4xn/nMZ/jSl77E5s2bueqqq7jllltob28/5fYPP/wwX/jCF/irv/ordu7cyZe//GU++clP8qtf/Wrcxpi1pGLwzc2Edh9E97gpXTJ3oodzwRh8cwsg5XLZilhnr6xiNI3a26654OOY8SRJRx+RV312UlE2VSoEehzB36mQDMd44Qv/BcDs+6+i9bhOmomRMD1O87DmW5YzvGE7ViyBt6ocq7cbbJu8qVNI7hN9hLdCUmyupqmofvF10GKOwVWhM97yRRByIhaF805LKtye+YCGcnqAuD1LMBydhDJHsEIvy7l88yB2RDwpOmXFaw8POL9jGcMrU0m5aDKqwO3BtA1icQCNcNjE5feQtDWKGspIJW1qZ9RyaEcXmq4x99oZPP8jIVf3fmo0zRAJxfiXv/kpb760/bT3Nzgkr1dRufhzdB+U6p3ayZV0OHbctdNriY1ECHYNo+maVH6sl/tXv3gKSqnM61Dj9PuwEkmG1kklzbkKNJVSBDdsJNl7ZpJ5KTHwxibiPf24igqoyuJS8YE3pPKpZP6MrC3rHWsolbzon/PFN7/5TT7ykY/w0Y9+lJkzZ/Ktb32LxsZGHn744VNu/9hjj/Hxj3+c+++/n0mTJvHud7+bj3zkI/zd3/3dxV7+aZGVvVeVZXHwOz8EoOG+m7NW3JgcCRLcLRNi+bK2CR7NhaP7qZcBKFsyF1/1mas2zoRYn0QpDJ8Hd+GpbaGPR8u189j4b89w+MVtpKIJ3HknR3pe++pPCXUNUdRYcULaA5DmYaZFyfQmiibVsePRnwJQefXiTOqjeOkC4r/+T9A0tKhMVu7aKjgIes0MVP8G52iyYqd8CSokpZ9a0TzsAce46m2kQtdLMFyTsMyDgIHXN9pcyhx5ClQKzTctk1LBPx0t/iy4iiAWQLlLUZYtJaRopMIKDLekPmyJTCSSOnqeHytuo3t8QIxgSL7IihvLYWs3c66Zxmu/3kIynmLagibmrBDdh1KKh/74UZ78geh9PvSZO/j//uaBk+5vuufHaKTCIRVTqjjmuHU2zm2gc/MRubfTanH7PZnKj9rFUwm39xLtGkR3u6hcKBUnwxt3CsGrLKNweutJ5307zECA9n9+mOGXXkH3+Wj90p9ScsXEiyKP/VxM1uruWJ3VJe8Dr4vAuSKLm7mNNUKBr6CpC48uh4KSOgwGgyc87vV68XpPPm4ymWTjxo18/vOfP+HxG2+8kTVr1pzyHIlEAp/vxGojv9/PunXrSKVSuN1j3+03KyMVQxt2ED7Yjqsgj5b33z3Rw7lgjGzaBUqRP7kRb+XZV+aXI5RSmZzxxQpN06TCX3X6duDHo2Z+K0UNFaSiCV78s8dO8EoAaH9jF7v/dw1oGtd/7YN48o/zhLBt9v1Ayktb7lxJKhSh3+msWnXtMkKbZZXsK5QPnXfyDFL7xNhLd8nEbNQ2gm1CUROEnI6lxa1ghiSy4G9FJY7I46coJ/V4ZOXq8V6VSXsopTLNw1wld6L6nnZujkQElOZUfURBen2Yo6mPlOgoEgkdvF5MpROJWoDGUF8ETdcY6A3jK/Cyb6sIKJfe2cb/fkesv+/91HWZ+/4f33gyQygAvv+tX7Fl7b6TriGQbnFeXoBSiu79QrxqJo1GKhrnNnBsi9yHhvnNDOw5RjIcx53vo2JGA92vSySkYv5UXA4x7H9FXouKKxed8b2gLIu+J3/Jjvd/lOGXZLx2PM7hr36dRFfXafe7FIi2dzP01lbQNBruuXFCx3IxiPcNMrJZ0lMVVy6a4NH87qGxsZHi4uLMz0MPPXTK7QYGBrAsi+rqE52Kq6ur6enpOeU+N910E9/73vfYuHEjSik2bNjAI488QiqVYmBgYMyvBbI0UpEuway+6aqsrfqA49XU2Ss0jR7pJNrejeZ2UXHVxX3hxPpHAPBXlZzT9pqmsfqr7+OXH/4n9v9mA2WTa1nyyduwUhYbHn6KDQ8/BcCMu5dnvBDS6Hp1K6GjPbgL85h099X0/XYNdlJEgdZQH9g2vpZmUkdlIvVNbsZe/yZaXhFqQCowNK+QGL1uOQxLlEO5HT1J4RwwOwET9EI098mW5W7PXAzXn6Fpo+9hO7YLleoF3Y+ulWPHO0D3Qrf4HNh9jvFVKAVGIXbSlUl9JGIauD1YEZ1YVJEWanpKCjB74uRVFaPag0xaPoXXfrOTvCI/7Yf7CQ5GaJpew7XvlNfv8f94jm9/+ccA/MnX3se+nR08+djLPPKPv+Tbj//RCdcw1CPpm7KaYkZ6g0SDMTRdo2ZyJUe3Cqloamvkla9LuXHDwtaMNXfdkqnohk73a0Lgaq+S1JRtmvS95BC861ac9vU3AwH2/cmXpOwX8E+eROOn/oCuR/+b8NbtHH7oG0z/1t9PmJV0usS6dNEc/PXj23F3PNH5xPMoy6ZkwaxcKelxKCz+cwqLTt1l+FygtCDwbTo6Oig67jinilIcj7eTbKXUaYn3n//5n9PT08Py5ctRSlFdXc0HP/hBvv71r2OM0+ci6yIVZiSWsVCuveXC8/cTDSueoOdZCY2XZrHwKW3LXbZoDq78s6cszoR4mlRUnrtQsGHZdK75S+lMu/bbv2Ljvz/Dzx/4Buu/8xuUrZh2x1Ku/tL9J+23978kAjDlvmtx5/szRLXm5qsJrJEKkOIVS4ltk+tzuaXjqHvqXNTgEdANtKijpyh1WpwXtEJMGo2d6E8x+bQfel0vOuE5KyhRA6PgSlSvI6bytqDZKfA3QTKJchVJ1YfTmTSd+jBNF4kYgEY8ZaD5fVhKJ5YQgjE4ICmaQEjCrkvvbOMJR6D5wT+/A8Nl8NRP3uBvP/d9AD7xp/fw/k/dxoc/I/0/Xvz1Bg7uPnbC+AcdUlFeU8wxp3FYdWsF0eEIof4Qmq5RO7UmY8/duLCVzrVCyuqXTiUVjdO3Qch13dWSAhzesAMzGMZdWkzJ/FmcDp3fe5TYgYMYhQU0/r9PMvPhb1M4bw6tf/pHGPn5RHbtpvuHj592//HG0AaJwGSzLbedStH1i98C0PDOmyd4NJcXNM1z0T8ARUVFJ/ycjlRUVFRgGMZJUYm+vr6Tohdp+P1+HnnkEaLRKEeOHKG9vZ2WlhYKCwupqLjwVPWZkHWkov/ltdjxBHnNdVldZtb5xPOkhgP46qqoXJW9tev9rzi9PsbA0TQdqfBVnF/Z3ex3XUXb+0WT8OY/PEnv1sN4i/K48Zsf4cZvfBhPwYk5xcHth+jftA/dZTD1PdcT6+plZMtu0DSqrltOcL3kj/ObarDDIfS8Auwep+V5uYxNr5uD6pOVqGZIdYhWsRQVlFW3VtSGSjqkw9tyTtehVCpjy60XrED1/K88EXY6kZpyHXZENBNieOXGTLlJJiX1kUwZ4PNjKZ1wWMYVGEng8rkJR1MUVxexc42QHeU1iIUTTFvQxNV3LWD7hgN88fe/i1KK9/z+jXzyz+4DYNL0eq67Q8qdv//tXx83XnVcpKKIzr3indEwvSYTpaidXsNwez9mPIWvyE9pS0VGpNmwbDp9a3dhp0zyGyopbJFVcG/aev/aZaetJArv2s3A06JXmPKVv6TqHbdnIhKe6iqaPvMpALof+x+i+w+c0/0fS9imyfBGSRmULc1eIXnfC2+RHArgrSyl8iL8Z3K4eHg8HhYtWsTzzz9/wuPPP/88V1xxZhGw2+2moaEBwzB4/PHHuf3229HHqRN21pGKASekWH39yuwtM1OKY/8rX4gt778L3ZWVWShSgRDBXfKFXbFy4UUfLzYwAoC/suS89135p/fSvEq+vOuXTuPdv/wzpt126i/Bgz+T8tfGm5fhryql97disFS6aDZmdyd2LIa7vAw1KDl5/+w2zMOy6tSdclGjtkn8KfJrUGGZJFXZAgjLqlsrmo+dEn2B7j63kLEd3gB2SDwtAgfEltvfAg55Ud1yHitsowwfdsqFaabdM3VJfdg6UYdMxE0Nd1E+ttLwlBUBGoX1ZVimYuriZt58TkSgd31iFZqm8fDX/hfTtFh9+xK+8I0PnvD5uucD1wKwY8PoBB0ajpKIiU13eU0xR3c4wsxZtbQ7PT6a5jXSseGwvC4LWhjY1UEyHMdblEfFzEaOvShVBXVXS+dOKxbPuE+ertdHaniEQ3/9VVCKsutWUTB3zknblK1eRclVK8G2GXjq2XO6/2OJkc27saIx3CWFFE5tueTnHwsoy+LQ934CQP3dN2Xt99TvEj73uc/xve99j0ceeYTdu3fz2c9+lvb2dj7xiU8A8IUvfIH3v//9me337dvHD37wA/bv38+6det497vfzY4dO/jqV786bmPMqneJUoqRTcL+s7mMdGTzLulnkOej+sYrJ3o4F4yhDTtEaDqpcUwqcOIDMmGfb6QCxGHztu98gqGDPZRPrUU7DQtPRWJ0PCvps8n3rgLIuDYe3+a8aOkSohtlxeytKyd10MaobsHulAle9+koQK9dAYMSXdDyK1DKBE8leOtQKRFCae6zhxmVskkNiE23UXQt6uhPnH1bgDeFXFiHUZ5qsBJYaT+KSDr1YZAwATTipoGWl4cdt4kERVTa0zkCwOE9Ek2YvXoGa/7mV/gLvFx990L27+zg1Wc2o2ka/9/fvPekVUxVraSkRoZGLdF728X9tKSyEK/fkyEVLXPr2fAjIQbN85todzwpmhZN4tgaEbTWL58OStH16hYAGlYLKe17aS1WNIa/ofqU1vvKsjj8N18j1T+At6Gepk9/6rT3tOLmGxl57Q2CGzef4c6PD9JC08qrlmRte/DQ3sPyPZXvp/H+Wyd6ODkA999/P4ODg/z1X/813d3dzJkzh6eeeormZulj1N3dfYJnhWVZ/MM//AN79+7F7XZz7bXXsmbNGlpaWsZtjFkVqYge6SQ5FED3uimelb2pj9F+Biuzup9BuknSWOWM06TCX1FyQfvrLoOK6fWnJRQAHc+uw4wlKGypoWLBVGKdvRkL5aprlhJYJ6SicPZUkof2gqahWzKRuqfMQo10guGGuEygWsUUSA6D4UMp2U4rapNVvinllZrr7KTCCr4kjcf0PFzumRDZKxUkgzIh25GEs51oO6ywDYYXK+U6IfWhvH5spRMKSgQhFlfkVxaRSNoU15YQHI5RXl/C0UMytlX3LsKf7+WRb/0SgBvesZTmKSdHVkrKRUw6MhjKVNn0doh7ZnVTGZZp0eGYajXNqR+NVLQ10bFBdCaNi1tpd0hF44oZDGzeR3IkjKekgIoF0wDo+pVoSmpvu/aUkcjO732f0Jat6D4fk7/85xj5p/dMyJsmpniJri7sxPl1s70YKNvOfDYqr112yc471hjZLtqXkrYZuPKz93vqdw0PPvggR44cIZFIsHHjRq6++urMc48++igvv/xy5v+ZM2eyefNmotEogUCAJ598kunTz94o8GKQVaRi2LGJLZ47A90z9vW1lwJmNJaxgq67I3v7GSQGhulzunnW3HzVmBwzPiikwlt24Yrqs+HQL8R/ovWuq9E0LRNqL104BzsSItHZheZyYZhCELzTZmMekpWuq0i+WPX6NlSP40/htGCnbCFEHEOsglkoZaFMWcmfjVQoZWEOiEGXq/x+VN9vZL+ya9EGhOSowS7QXNihVCb1kUqKo2YipoPb66Q+TNA04qaOkZ+HjYbpku1wfBJW3reYV38h13Tz+67g4J5Onv6pRGU+/Lk7TznGkjIhFaZpEXYahnUdkkhMTXM5Xfv7SCVMfAVeXIZGeCiC4TYoKM0j2D2CZuhUz6ilZ7NDMFbOzLho1q6ci+4yiHZ0j5qo3XqyCDu0dRu9PxGdScuffA5/S/MZ76urtARXcREoRfxoxxm3HUsEduwn0T+MkeenbHH2RlQzbRByttw5nAeyilQEd8uqrXjutAkeyYVjeMMO7EQKf311VgtNu3/zMsqyKJ43naIZZ27pfS6wTYtkQDwPfONEKsLH+hjccgBN12i5XYRN/a/KpF21ahmBdUIUCubNIb5dxJr+2XOxeg6DpkNCNBJG/VRIjIArD5KyOtcqlqAcUkHBdLBCgNOS3XXmahY7tEbKSI1ijKJbUX3POE8IiVHeerBB+epB6ViOPXcqAsrllcZhTglpwnKB349CI+iY63QdESfLowckOhG3LeKRBC0za5m5tIW/+sN/xzQtVt26iDkLT/1ankq+1LFPVOiNU6s56hhdNc2qo8MRadbNrKXL8aeond1A37Yj2CmLwvpyipsq6X1TSEX1cql+SpPt05mopSs5ym+5idJrzk5kNU3DUytRl0Rf71m3HyukI5GVq5Zm7eLHNi2G1ouOKGfLncP5IGtIhRVPMLRWejEUzZg0waO5cAysEWFa+YoF2Ss0te3MF2f9O64fk2OmCQWAp3h8bIAP/0JKeKuWzsJfWUJicITADvFMqLh6MSOviYlX0ZKFxBxS4XbMr1zNs7DbHfMrpyOnVrsEBuUxypdCVKoqtLwpKGtEHtcL0bQz59TN4SfkHCW3wfAbYIXBW4s6KuRChaVHhzUgzntWWEMZXizTRTImlSDJlIHt9mErnWAgKdGKlIa/oggbjaqp1ViWYvLCJn77ExnzPZ9azU8feYHNb+4lr8DHl/7hQ6cdYyKeyvzt88v1tzslpM0zajnikIqWeQ0c2Sypj5YFzRxdJ/ekedmUjD9F4xUzSAYiDO06AkCNQyoGXpN7Xrnq5JRBZN9+Qhs3g65T+3vvOeP9PB6eCtH6pAYGz3mfi4EZjmTM4OrvuuGSnHM8ENyxDzMUwVVUQHEWL35yuPTIGlLR8fhvSPQN4q0qpyxLLa2VUgyukbBz+RUXXy0xURjetJNYZy9Gvp+q1WNjhZwMSLrBU5R/UQ3JTodEIMz+/5FSrMn3Smh94PWNoBSFMyaha4rwDlk551WXoBJxjNJy1MARANyt01GBbtFTJCVioVXPhxFJyVHUItUamhv8TSjTaSrmOrPo1I7txY7tBFy4Sm9H9Yq2QcufhxY+BEY+amgAdC92xEa5C7FNg1R81D1TOWQiGrFB10haBkZB3gnRinBMKkJqZ9bQ2z5EUXk+bddM5R//4kcAfOav3k1t4+nTNIm4CD51XcPlNlBKcXSPRGmaZ9RydIf4V7TMrefoZvGkaF7QzNG1El1sXjqZrnVOv4+l0+hdK26yRZPr8VeVkhwKjBK8U7g29vxIhKtlq1fhrTl3Iyn3JSYVPc+8jp1Ikj+pMasjqukqu/LlbVkrNM1hYpAVpMKKJzj6A+naOOXBB7K2m2f0SCeJvkF0r5vShac39bnc0fOUYxR145UYft9Ztj43JEZCgLg/jgf2/8/zpMIxSqY30nC99C/oeUauo+ra5Yy8/oZUssyeReqQ5JL985eR2iOCO6NAIhZ64wJUr6RJtIISQEF+E1hO+3V/M5ruBkuiCppxZlJhjojBlVF0DSg3avBlACEwgPJJOsI2KgANK6IDGmZMQ7l9WJZBIiJW3EnLwHZ5UWiMDEl0IxhKUlBeQPv+fjRdY9cWiSLc8ZGr+On3XyASijF38WTu/9iZbaRjjlDUl+dF0zSG+0KEhqNomkb9lMpMpKJxZg3t2yT9UdVSzsBBSTvUzKyjf5ecu37ptOMaiDlRitc3CMGb3npSJVF41+5MFKnm3fedcZxvh8cx+EkNDp3XfhcCZdt0/ExM1erecV32RiKVyljWl69YMMGjySHbkBWkov/V9ZjhKL66KqpvPHXtejZgxBE+Fc2elrXEyDZN+l+XSXUsy2GTQXF7PJdGYucLM57kwI+lqmDmR+5A03Wix3oY2bwbdI2aW65m5A3Hq+KqlUS3CpHwTZmMPdwDhgstJqF+o3EeDDuCTE0mWq18KUQdJ818pyGXLWJG9NNfj7JjWEERjholt6H6nwaVAv8ktC7x0rAH5LyWI2I1QyqT+khEREeRNN2S+kAMr3S3QcLS8JTkYyOdSQEmLWxi7+Z2PD43t3/kKp54TEjVRz73DgzjzF8Fw4NC+krKhPQd3S0eHnWTKogMxwgNRtANHZehk4wm8RX6iPbJmKtn1jF8oAtlK4qbK8mvLqH7dUll1l4plUO9Tlnv21MfyjRp/8d/BqUov/F6/K0tZxzn22EUyHjNcOQsW148RrbtJXqkEyPfn9Vtzke27iF6tAvD76Xy6uw15sthYpAVpKLbWRnX3bH6jOWClzuGHY+NkrbsVVOPbN6NGYzgLi2iZN7YlSalwjIJewrGvnTt6K/XkBgOkVdXTsN1ElpP23KXLZ2Hy+chtFVEaYWzp5FqPwSahmFIyN89eT5WuxAp3SE9WtlMVEhK7ihfiIqKwRN+p6OmkkgB+ukjOebwr0HF0dz1aL7p2O3fk2O7m8BOQsFkCPZKaWncQHnLUbZBKibRimTC9bbUh07S1lFe6QUyMiKkp90RaFpu+ezc+MBytqzfx1B/gIrqEq655eypuGFHz1FWKZGXo3uO01Nsk9RHw/RqjqXTIAua6Ngo96R52VSOvSX3qmH5DEb2thPvH8HweahcNJ1UIMTweolcVL+t10fvz58kdugwRlERDZ/46FnH+XYYjnW8HY2e977ni0yr9isW4irI3vbgaVvu6utX5kpJczhvZMUMHdi2F3SN2ixm/7Gu3kwJZsUV2RtSzJj6XLl4THOtqfD4RCqUbbP3MRE8TnvgRnSXgbJtun8jpKL2tmsJrF0Pto2/tQWrV0L03skzsA5tAcDVOgM13CH9PizppKrVLYMheV4rbTtFpEJIhaadmlTYsX2Y/Y/K8cvugYHnIHYYXMWofoloZTqSaiWARmpESE4qZqBcPixbJx6xQZOqD1N3Z1IfmqETTVgUVRcRGIpRXFnADsfZ8sb3LuMnj4jQ9p73X4vbfXYPvMF+iTqUVkhlzhEnUtE8s5bDTrqjZV4DRzYekb8XttC+XkSaTUsm0el0OK1fNi0TpahePhvD46b/1fUoy6JgSjN5TXWZcyb7++n+LzEEa/j4R3EVn78pWppUWJeAVAw71RJlWWzMlwqGM2ZwdXeNjQg7h/9byApSAVC+bP6YuDZOFDp+8jTKsihbOo/iueNrPjJeUEox8LpUr1SOQa+P42FGZBJ25Y2NRiONvg17CR3pwZXvY9LdYhIT2LaXeE8/Rr6fyqsWE3jTaSC2cgWxrVIZ4Zu3mORuedxVJGPSa+eg+uT6taq5EDkiJymdh4rJhK35W+Qx5VRL6CeXFCplk+z9Z8BEL1iJUXIbdsejsn/lrWhDm0EzsI/J6t0aCAMaVlRHufOxLYO4k/pImS4sQ3QU0aiN7nGRsiX1odBQTklj84ImYpEkNc3laD6Nt17ajq5rGfvts2Gg12kcViUT+5HdoyLNI9tGKz8OO6SifkYNvbvl8aop1QzskQhG/dJpdL2yBRhNffQ8Kymgt3ck7f/Fr7HjCfLnzKL8pgub4HS/rLStWOyC9j9XpAIhAjslLVa6JHsbiLU//mvsRIqCqc0UZbHBYA4Th+whFVm8urfiCbp/8zIAje++bWIHcxGIdfQQ7+lHcxmULhrb2nXTqS5w+cdWa3L4yVcBaLp5OW4nlNvrRIwqr1mK7jIIbJBSxuJlS4htk7+9dVWoSADNlw9RR0/RvBjVI89r+SVygrxGcPkh4fgg5LXIb81Z/avRUsw0rOCLqPg+0PPw1PwhhHdDcJPsk3DEfQUzIR4CTykq5UK5y8DWSYYBNFJJF7bLSX1EbTSXQcLWSSmpChnoEw1Bx8FBNE1jwLHXvvGB5fzb30kJ6y3vvIKGlqpzuo+9nVI9UVNXhlIqQypaZ9Vx2PGlqGmtoPeAVMa4dA1lK0qbKwgc6hZNxLR6dBSD2ySCUX/NfGLd/ZnGWzU3jzoD2slkpmFY9X33XLDoUTPkdVCmeUH7nysGXt8ItqJgajP+2spxPdd4wYzE6HhcjNdaP/TOrBWa5jCxyBpSkc3OdL2/XYMZiuCrraQ8S8thAYbWSdi6eN6MMav6SMPKkArPmB0zGYpy7AUhAa13iahUWVbGZKn6uhWEd+zCjkRxlRTjzvdgjQyiebxoMXGLdE9bjH3U8acoqwArDr4ycNIglM6FmJRQ4ipGc4vRlaY5EQp14mSm7Dip/kdk8/J3o7lKsTt/KPtU3AQd8qVuR4WMWFYJoJEalkhOKqZnUh+JtI7CcpFUYogVjpi4/B7ipqKgshBLwcyVk9n2pkzkU5c08cKv1qNpGr//x3efdM/SFtxvR2+XVE9U15cx1BMkNBRB1zVKygsY7BxB0zRs5zWsnlpNn9MivXnpFDoca+6GK2bQ+bKUKpbNnYS/qpSep18FpShdNPuEyXjktTcwRwK4K8opWXHhZcuaU56sLOuCj3EuSJuoVV6dvZ08Azv2YUXj+Goqs9pe/FJB2fGL/vldRFY0FPOUl5DXUj/Rw7hgdD4h/gj1d9+Q1TXf6TD1eBCjdKTC8I0dqWh/+i2seJLC1lrK54rWYWTbXpIDw7gK8ihbOo+uR8Qeu2jJYuLbRIzpmzWf1D6ZJFxT5mG/9iQAmh5DAVrtMhiR1IRWMheVJhXp1AeIXwXSzvyE6xz6XzAH0dzVuErvRpmhUW+KkitQwe+B7kZ17wE0rN5BwMCKu1CeIpStE4/aSAmpC1P3SOojZqO7vaTi4M7zwYhJNCmOnt6yPJRStF09jZ/9t2gpbrxrGZNnNmTGZVkW//rPj/PNv/s+D/6/9/L/feHDJ4y7t1NIRU1DeUZPUTe5kk7HAKt2SiWdOyXdMWlxC0fecpqILZ3E9n+VstmmK2Zy5McSfWi4diFKKbqfeln2v200DaOUou9J2afitlsu6jOjpTtrjiOpsOIJBteKSDObqyUC2xxb7vkzclGKc0D8wHvwFFz4FBoPj2/0bKKQFZGK4nnTs/ZNHu8bJLhzv/QzyGKhaWjvYQLb96K5DGpvXzXmx7eTMvmOla2xGU+y63u/BmDyO1dl3j/pRk8VVy9Bd7sJrHdSH0sXE90sEQzf3IWk9jv9PgolIqOVT4Jh+dLVa5eihh1SUToXYiLu1PxNmfOn/SnSnUoBlJ3AHBa/FVflh9B0D6rvabBjkDf5uH4ik0ABBZPA1rFdJaB0EgH5Ekqm3NguH0rpRGMKze0iaevELXHX7O8Ooekag30R3D4Xm9fIBD/nqsk89+RaNE3j4396T2Zc7Ue7ueeWT/HXf/YdwqEo3/6H/z7pfnZ1SAVJTX0Fh3cKqWidVcehzZL6aG1r5NB60ZU0tTXStU2IVmldCaHOIXS3i4rpdfStFbOw+tULGdmyO9Ott3LV6GQc2riZyK7daG43lbfdcqqX9zygOff+1BGYsUDfS2ux4wl8dVUUTGsZt/OMNzK23KfoDptDDueKrIhUFE7LXlvuQceWu2j2FLzlZ+4BcTmj80mJtlSuWjYu16EsWVWPlZvmgR+/QKx3iLyaMqbcJ6tgpdRomPqqJST7B4gfPgKaRsGcWQT+7csAeKvLMJMxMbeKyARqtCzB7pVSO6rnw5G/l79LZqO6pUKB40mFV/5WyXaUUqjkMVJ9D4MVQHNVYxSKfsDufVK2r7wVNn4NACso+gfT6UhqDicBD2bChe3Ox7YN4rF06sMgoaTENBqzcef5SSWSFNeXMnBwiNa5Dbz1xj5KKgo41C6RhNvuX8m0OTK+x3/wG770x/9IODRaHRGPJxnoH6aiUl7nUCBKcFg0GvXNlTy5Uzw0WmfXc8gx02pta+C335D0WL7fhW3aFNWVMrJfzlm/ZAr9G/ZgmxbFUxooaq1j3z9K1KJq1bJMt16lFF2PPiav0R234i4vO4dX+wywJUIxnqXo6c6qdbefurNqNiAVisjiByhbNn9iB5Ml8E35Eb6iC+9TlAwGgXN3h80WZEWkonx59uoQMv0Mrlw8wSO5cJiRWCb10XD3mZ0XLxS2E57WzmLCdC5IBiPsdqIUcx68G8Ppzhk51EG8qw/d46Zs2TyCG4Xw5U2bSqp9PyqVxFVVixqS1bd72mKstJ6ifhaMOL09CirAioHhEy+JuGyv+UfTCZqnHjDAjpLq+hqJwx/HjmwEXLirPoqmGah4J4xI5IR4HFJByGuCwWOgu7EHR8DwYCXc2C4n9RE0AY2U5SLl6ChicYXu82AqjYQN4lEh1Q5DI0IGbnr/Ffz2l3Kuez+wGoBfPfEin/7E3xIORVm6Yh5rt/+UadNbANi4fmfmWjqPiviytLyQvALfaKRidh0HnT4fBQUeUvEUBWX5jLRLdKZl+RTaX5fIRNPVc+hZIyvhuqvbhOC9JpGZiuN0CMF164ns3oPm9VLznned60t+Wijbaeo2Bu+rUyF6rIeRTTtP21k1WzC8fjvKsslrrs9aoWkqEGLT//vKJTufpvsu+ud3EVlBKvKb686+0WUIO5liaIN8kZavPLmfQbag97drsKJx8prrKBkne3Flypf/WKwo9z72LMlghOIpDTTfPurAmk59lC6ZiyvPn3HRLF66mNhG+Ttv4QpS+2Syc09diH1McuV6utS1eBJa7Jjz90w03UDFnLbavuNIheZGc9cAYIVeBiz0/KV4J/07RpETpXAEmpQsg4PSg0N5HJ8LXyMoDVsrA6WRDEh6KJlySwmp0onFNTSPm5StE09KiWkgmMSb72VoMIavwMu+nZ3ohk5JYwHhYIzaxgoWrZyBUop/+oakOd7z/tt58pnv0NJaz+LlIojedBypOHZESEVdcyWWZWc0FeXVxQx1BdB0jfiIRDpal7Rm9BSNC1rocpqINV05k550V9IVc04keEulBFNZFp2OxqXqHbfjLrvIKAWAQyrGK4KQbqxXtmwevprsnIzhuEaHWbyAC+45RHDH/okexv95ZAWpyFYEdx/ETiRxlxZTMKXp7Dtcpkib4dTeuuqyD+9aiSQHfyrh+dkfvxPdWaGK4dXLAFSvXoEVixF09BQlV105as09bxGpg46eorQYzDjklUJCBIl69UKU00RMK5kt1RIJp/35caQCQC8YXYF7Gr6Ct/Er6B4RHKtEP+qYTOp64XII7QdXAXa3TMKm42CZGnBSIUk3lqsApXQSUQWGQdI2iCUANCIxheH3YCrId7wkSupLALjyzvk8+wvRi9z5nqvQdZ2nfvkK27fuI78gjz//6wcxHDFkQ4OEY4ccW3CAjsNSLts0qYauQ/0kYim8fjdhZ2yNM2po3+qkQRY00+m0O/d6daykSWF9OSSTJIaCuPJ8VMyfQt+L6Tbn8zKpj5HX1xA7cAijoIDq+9952tf4fGCnhIxpnrETAKdhRmMZEfZ4RfAuBaxYPPN6jLX/zKVEWmiaw8RiXEnFww8/zLx58ygqKqKoqIgVK1bw9NNPj+cpLyuke32UtGWvmjoVCDG8QUSJVeNYZqYdN/lfDI4+vVYsuWvLqV89Gh0a2bJbOqvmSWfV4LoNqFQKb10trnwPZk8nGAbuIj8kYmh5RRCTydRoXozq2yLjrF4AASmRpHgmpIbATgAaeE/Mj7orHsBV9i68rf+GUXDil7V99Ltgx6FoPqpPoiFUXg3BY2D4UOEUeIuxUy5soxClnNSHppMyXSRtJ/WR1DDyfFgKYimJVnQelUqN7p4RANqumcraV3aiaRr3fnA1tm3z9b8VS/Dff/BdlFeUZMaV7ziahsOjGov2g2lSUc2h7Y4N96w6Dqw/AsDkxc0cXCuOovn5bmzTpqShLKOnaL5qNj1pF81lszA87kxZ7/GGVwPPPCe34c7bcJeMjuliYCec7qrjQCqG1m6TUvG6qlN2Vs0W9L28Disaw19fTcmC7G10OLx590QPIQfGmVQ0NDTwta99jQ0bNrBhwwZWr17NO97xDnbu3Hn2nbMcSikG3nBWwmPYI+NSo/+1DWKhPLnpBAvlsUaGdF2ESl8pxf7/kYlpyv3XnSD6TIvpqm9cieH3Mfz6GgBKrlw5Wko6fQ5Wu7w33dMWZfQURtNiVK9EL7SqBaiAE6konpWJUuCpQNNPnLg0owh31UfQvS0njjN2DNX1OAB648eh40nncecWuKoBDSvlBzSSQRM0xz3TKSGNxwG3G1OJNwVoRKIm3kIf0ZhJWV0xA/0h8ov97Dso6Zkrb5xPXVMlv/jfF9iz6xBFxQV84g/ffcLY8h2DsONJRcchidI0Ta7h0A4hCpPnNrDPIRV1rRWEhyK4fW7C3eLf0XrFtNF+HyumjzYQu2oekcPHiBzqQHMZmck4NThEcIMTgr/pBsYKKiH9T8aFVKyXa6pYuSirS8XTEbza2y7/SOTpYKdSBHfum+hh5MA4k4o77riDW2+9lWnTpjFt2jT+9m//loKCAt56663xPO1lgcDWPQS27kFzu6hafeHmPRONgdecaolV42uGo7nkrWibF+4nMLj1ACN7OzB8HibdM+rOaMXi9L0kPUvqbr8WZZoE1kq6o+TKKzLW3P55SzJ6CteURaOmV3UzIXhEDlYxC4JO3rZ4FirukApv7TmP0+54BFQKrWQFhLpE9Fk4FfugEB+rbwSA1EAUdBeppAdT80u0IqLAcDmpD4lMxJPgLvBhKtAcUWp+tajSl908h1/8j/Q5ue9D1zHQP8xffP7bAPzBH76HktIT1et5DqmIRkZtrdsdUtHYWs1BJ1LRPKOWQ45IU3eiS83zmzjyltybujkNDO3vAk2jYnodg9slklG7ci69vxVCV7ZkHu4i6SI68MyzYNvkz56Fr2HsPGnspBOp8I6tU6tSiiHHmyKbe32ED7YzvGE7aBo1t2Sv0HRk827sRAp3aeFED+X/PC6ZpsKyLB5//HEikQgrVqw45TaJRIJgMHjCT7ai4ydPAVB7yzVZK+CyTYshJ/Ux3jbpaXvutLPm+UIpxY7viv10441L8BYXZJ4beH0jdjyBv76aotlTCW/fmXHRzJs+ldgOWSH75i4kdUAiEu7aelS4Hww3mtshOsWtaMl+ccl0F0FePSSl0kHznttrrMwIqufnsk/z76OOSMQC/zQwY5BXh0oAvnKUZWDphaA0EmEbdIOU5SJhSQlpPKWj+31YSiMcswCN3q4gmq6xf49TCluoExgK0zS5hqtvXsCnP/E39PUOMn1GK5/4f+85aXxmSspYvQ45iceSdHeIRXfL1DoObBVSUZDvJZUwKSzLZ+CweFg0tzXSs1Oed2tCNKpmNzG09QAoRcn0JvzVZfQ8K9bp1Tc6LqemSf8vxEm08o6xtbFPNxLT88a2UV3kyDFinb3oHjeli+eM6bEvJQ4/8jMAqlYvz9qqD4Ce518HJGqUw8Ri3EnF9u3bKSgowOv18olPfIInnniCWbNOnbd76KGHKC4uzvw0NjaO9/DGBfGe/kylQeO7Lta8Z+IQ2n0AKxLDVZRP0Yzx9QpxObbfqeiFWdcefvI1etfuwvB5mP377zjhufTKuPr6K9A0LROlKF66hFTHYexQAM3nx5XnQUWD4PWjWUJo9drZMCi5Wq2yDZXWUxQ5OpmkTKi4K85pnKr3F2CFxX3T2wq9Uqpr98gK37bLAI1USNJAieGk6ChSbkzlBjTiCR3NIyWkoZAIEcNRE0+BF1NB87wGQoEY5bXFPP+URGg+/Jk7+PWTL/HbZ9/E6/Xwr4/+NXmnaN6WcEidxzEhO3qwG6UURaX56Gj0d0p6I+ZUe0xb2srBt6TUNt8vtjfVM+vo334EgMaVM+lyrLnrr11AYPs+Ysd6MfxeqhzDq+HX3iA1OIirtJTSa648p/t4rkiTinS30rHCgFMOW7p4TkZomm2I9w1mOie3fnhshLETASuRpN+JRFZdd8UEjyaHcScV06dPZ8uWLbz11lv8wR/8AR/4wAfYtWvXKbf9whe+QCAQyPx0dHSM9/DGBcd+/hzKsildNJuCKc0TPZwLxuBbTnh38dxxzxmnIxVmNHHe+8YHg2z5B1nxz3nwbgoaR5tkmZEog2/KpFZ1vZSXjrzlkIrlS4ltF92Lb1Yb5iG5Xvek+did8rfRuBDV75SVVrVlRJpaibgOKidSgefsqzylVKaMVK9/AA7/EFBQPBfVvxcML2anaBasoAluP1bKhYkPhUYiBrilhDQSE6vuhKXhKSnARsPU5OMcdzw/WufX09s9TGVNKXe+92p+8KjYgT/46fcya87kU9/LuNx/r2OXfmSfpHdaptRyYJvTaXRyZaYzadOMagY7htB0jdiAVIy0rJiW6fdRt2QKPW9KtKtu1QJ6npZUTOWqZZn+MX0/F5fRyjtuHXPtgx1xSMUYRyrSpKIii/1n0kLywhmTKJicvdVpg29swgxH8VaVUzJ32kQP5/88xp1UeDwepkyZwuLFi3nooYdoa2vjn/7pn065rdfrzVSKpH+yDUqpUaOod2ZvlEJZVqYvQ/kVC8f9fO5CWe2lQpHz3nf3I78hFYpSOrOZaQ+cWNo3sGYzdjJFXnMdBVOaSHT3kOg4BrpO0aKFxJ3Uh3/OolF/imkLsTqEiOiNC7Gd6gytqg0VcMrWih0rY3NEnvOcg8tocDNE9oLug8pbUXu/C4DCiXKUzAVLobxlKNvANH2AltFRpCyDeEKsuOOmjub1YiuNkRGJ7gwNxnB5XOxyXC77gxJVeOeHVnOso4fXXt6Apmm85/23n3aIEUdLkdZWHNkvaZSWqXXs3XQEgCltjexbJ5bcHo+Qzca5DbRvEN1EZVMp0YEgLr8HLRbFiifJqymjqKWG3uffACQtCBDavNWx5HZRefutZ7+H5wlrHEhFrKuXwPZ9ohfJ4qqPkU0iSi5pmzHBI7lwKNvmyH9L2rPm5qvG1Tk1h3PDJX8FlFIkEue/Gs0WhPYeJtE7iO7zUr5i/kQP54Ix8MYm4t39uIoKqL5+/EOKvjIhkPHB89PRxAZGOPhTETjO+3/3nWTzPXBc90hN0zIVBgWzZqL7fcR3CWHwzT6uidjk+dhdsrrW62bCsKjKtco2CEpFg1bkfBGbDgkyRjUcp4JSFtaBr8q+VbdCx68hMQD5TdjtQmAspxOpGZBIQyKQAsNNKiWEIq2jwOsVHUU4BRpEExb+kjwsBRUt5ViWzfRFzWxaJ2O99b6V/PcjTwKw+oblNLecvopneEiiDWXO63Fwj0QnJk2vZ+dbQhpaptcy3B3AcOmEe2X75nmNDB3uRzN0TIcYNiyfQedLcr8brl/CwOsbMcNRfHVVlC6eI5bc/yUW5xW33nLxltyngOnoslxFYyfg635aNCGli+bgqyofs+NeaqS7DpctmTfBI7lw9L34FqE9hzDyfDS9+/RkOYdLh3ElFV/84hd57bXXOHLkCNu3b+dLX/oSL7/8Mg888MB4nnZCka6WKF/WhuEbW8X5pcSxnz0DQN0dqy/JdfgqxLApPhA4y5YnYs/3n8JKpChvm0L1itknPGenUhmnwHRL6rQ1d9HihSSPHMCOhtHy8nHle7EDA+ByY+S5wEqK6ZUdBmVDXhXKX35c5YeT/rDSpOLMK2HV8X0IbgGjAK3l06g9UoFBxbUQHwZfOVZPB+guzDDgycc2DVK2F9BIxDVwezBtnUhERJkJS8eV75cSU1M0GD29IwDUzazENC1mtrVQ01jOjx4T2/IPfuyetw/tBAwPySRcWiavx6G9EqmYNL2O3U7DML9HtBMt8xo4tE6IRkG+aDDq5jVlXDQbV0yj65Ut8veNSzIEr/r6K9B0nfD2nYS370Bzu8fEkvtUMIMhAIwxinoqpTIpnNrbsrdaItbZS6yzF80wstabQinFoX+XtGfTe+/E47xnc5hYjCup6O3t5X3vex/Tp0/nuuuuY+3atTzzzDPccMPY1aFfbkj3M6g8rp9BtiHa3iWrGF2j4d6bLsk5M6Ri8NxJRXwwmHHPnPOJu06qsR/etAsrEsNTVkzR7KkoyyK0aQsARUsWEdspEQL/zLbRqo/WedjdEhY2GhZAv6zmtMp5aOFDUvnhKpDKD4AMqcg/7ThVvBP78D8CoE/5ItrAJggdAE8p9pBUVihPI6Bh++pA6SRjToVHyAbDhWkZxOKQJhOa34eNxvDwcakPr4v+/hCFZfkZb4pb7lvJ//74WUaGQzQ21XDdjWcubx5yIhWlZcXYtp1Jf+T7/AQHI3h8bgK9Qjxa5tTRd6j/BD1F0+IWejaLcDOvwI0ZieOvLqN0RlNG21J5legQhp53LK6vuxZP5bkJXc8XZkhIxVhFKka27hGhaZ6PqnEusx5PpFu1F8+dhis/S4WmXX1E27vRXAZN78lFKS4XjGuX0v/8z/8cz8NfdkgFQoT3HQGgfMX4lmCOJ3qcvHf5svn466rOsvXYIK9awsipcIzEcAjvOdSb7/juz7ESKcrmTDopSgFkXBsrVi6SlfGu3ViRCEZhAXlTp9Dz038HwDdnIakDEsFwT1002u+joQ11HKnIRCmKpp5sEnQG0yD76MPiulmyFK32PuyX75YnWh5ArZExmF3iBZHqCzv3QYHHh2kZpJSkPhLp1EdcIxxMgmaQsKGwupjB9gBFlQUQirLs5tn88EfPomkaq+9YxD23fRKAj/7BfRk77tOhv1fcOCsqSzl2uI94LInH62aoS0jDtAVNGSfN/DyJTjTMrqd9/dscNVurCeyW7epXzWdk007McFQI3qwp2PE4Q69IGqH8huvOOKaLgTkyAoCreGxWscecUvHq61dmhKbZiHRF1KXQS40XAtslIlY4rSVridHvInKqljFE+k2e11yX1aG4dJnZpdBSpOHK85JXK8QieKTnrNsf+MmLHPzZy6BpzHnw7pMmeSsWp/c5IUc1N4sRVmijrJQL57ehLJO4E6nIm7+U1H6HVExbiH1sCwBGw/wTSIUKCanQCqeMnijdadA6dSmsineiuv9Xjtf6OYh2QLfTQl2vAish3hTRGPjLsGM2ylOAbRkkEg6ZSKc+lE44bIEGCUs8KhSjQs0eR98QU6JZWnn9PJ7+zct0Huulrr7qrKkPgJ5uqWapratk304RfE6eUc/ejUcBmDa/kaNOl9K40w69eW49oZ4RDK+LyDEpsW1ZNZfuNxwXzSvnjfaWWLUMzTAYeeNN7EgUT001BfPGx+dBKUVqeAQAd2nJRR8v3jtA38tSuth4/9iLSi8V4j39GZFmzU1jW8J7KTHi9PoonjcxQlNlRS/653cR4xqp+L+GkS1SRlcyQW/ysUD4cMeohfIlTuEUtdQS7R4kdLiLygVTT7td3/rdbPo7Kc2c+4f3UrvyZEfD3hfelH4GDTWZzqqZrqRLFpPYuwOVTGCUlGMUF2H3d4CmYdRPIdnvkIf6udgvOILNynmog2KwQ+FoOaZm+FEA9qgD5fGwj/6ruGeWXoFWshh7298CCqquxt71U9lGlQFRbK0UGCIVAdBIRJSQiYhBzOlCmrB1NJ8PFbMIBhJomk4gmMBf5KN/IEh5bTGvvSSRlpvvXcHnv/g1AP7kzz6K7yzaGNM06e+TSEVNbSUvPSmka0ZbC7vWip6ipDQfZSsqm8o4ulmIht/rVIAsaqXDaXVePbOOzh8NYnjdVC6cxoG/FQ1J1bWSfhl4Vhpxld94/bgp9u1YLGPT7So9h+qcs2BgzWawFcXzpmd1CWaPQ7ZLFs7GVz0+aadLgUC6t9IEfd9ab1yBlX/h710rcnF9ji5X5CIVYwTbtOh1unlmq/AJoP8l8XAoW9aGu/D0OoHxQNFk0SmkfQ1OhWQoypuf/1eUadF063JmfvjUDozdvxatRd2dq9E0jURvL9H9B0DXKV65nJjTldTftgTT6Upq1E2FkaOgFFpRLboVhlQEDB+UTkFFZOVO/nETiuGEXVMjJ41BJXpR3eJYqLf8IUrZqEPSmZSyFRIFcfkxj4nnQ7JTogTJiAYeP5ZlkMiUkBoojxdb6QSDKTRdI2GDvywfBeRXSrpoUls9/b3DlJYXcqzvGMNDQabPaOVd7z17eXNf7xC2beNyGVRUlrB9o2gjZsxp4fBOGaMZFbOtSXPrGTg6iG7oRHqkdLV6UgXxkQjeojzMQXmscvEMQrsOkAqEcBcXUrJgFonunoy25UypDzsSZuTJHxLff2pfm7MhHaXQfb4xSVVkbLmXZW97cGVZmT44tTdfNcGjuXAkR4KED4luqLgte3sr/S4iF6kYI/S/vJZ4Vx/u4sJx7eY53hh860Qx3aVEyx1XsO+Hz9Hx3HoG33+I8rknu3juePgJ4gMBCptrWPKXHz5lA6R4T79EjTQtk/oIvClh64LZs3CXlBDb7vhTzFtM6qBjejVlAdbxeooBITdaxSw03QUxCftraZEmoBW2oQZeQA29Bg3vzzyurCjWzs+ASkHxYrSSJaielyB6DNwlqC4p96RsIXTthII6VH8M5a9ADZnEowAayYQOHi9WzKn60N0kLQ0t34uKJRkclBBq+1FJOxzr7QPg7vev4pdPiBDywx+/96xaCoCOo2J0Vd8o3VZ3bDwAQGFeHratqGoopd1pKFZUImSqcV4DR9cJ+TAssfhuuno2Xa/Kfay7ui3j21J57TJ0l0Hfk78CpShctABv3al7psR2baH/n76C2d+D5vFQ86Vv4J97fp4QqQEhae7yiy/7tFMphtbJNZUvn3/Rx5so9L20llhHN66i/Kx2n+x/eZ28h6a14i2/+CjUhcBYueaiqoqMYBA4955B2YJcpGIMoJTi6A/EFbDhvluyVsBlhiMEd0rov2zppV+Nlc5opuUO+aLb+s3HUerEjqW9a3dx4HGZKBd+/vdw+U7tvtjraEJK5s/I+AgE0i6aK5ZhR8IkDkro1D93IamDWwBwT24bddJsaMPOkApHBBpztB7+0S8CreJ6ANTwGyjHs0JZUaxtH4XAejDyMab+mbhp7vi67FR/G/ZBKfE0g+JJYUaEHCWGJVyfjOng9WPZOtFo2j3TQLk8jo4iAZpGLGFTVl9CJJqkvLaYLZv3o+saK2+cy9bNezAMg9vvuvbsNx84fEg8KZqa6zi8t4twMIY/z0uwV8SjM5e0cmCDpDySISEz9ZMrSYbj5JUVMLzPcdxcOInBrfI+qlk+O9PMrebmq7FiMQaffhaA6nvvOmkMKpVi6AcP0/3nn8Ls7wGXG5VM0vPVPyG2a8s5XUcaqUFJ5bgrLt7/YmTzbqxoXISmM0/tRnq5QynFkf+SvjON77otq8WNfU5UuOq6U/eRuhTQjLyL/vldRI5UjAGGN+4gtOcQutdDwzsvTQnmeGB4406UZZPXVHvJqj7ejrmfuhfD66Z/0z6OPS++BuFj/bz6qW/y8u9/HWXZNFy/mJorTi/u631OtA/VN4gIzYpGCW1xSuiWLyW2eyvYNq7aBoziUsyjIlpzTZ6P1SniQr2+DZXu+VE+G2UlICHln8eTCvKngq8R7CRq6GWUlcDe9jEYWSeEou1RtMI50P089L0KuhdUJdgpqJyP3b4H0EgNhMHlIRXVUR4hE/GIQyZMl6Q+kDbnukuqPrxFoufQnSqM4oZC0ODa2xbz+utS2nzN6iVUVJ7bSm7XDolMTJ/ZyrYN8vfshZMyIs3qulIS0SQFJX46nYiFWxPi17J0Ev27JBztwkTZ0kAseuAwVjSGr6aSknnTGXz2t1iRCN6GeoqWnBgNs0JBOr/4cUZ+/gNQioLVt9H8H0/gn78MlYjT8zd/ROLA7nO6FoDUkKRg3GOhp3hD7NzLVy7MWtfG8IGjhPcfRfd5abzv5okezgUjORJkeKMQ/mzuAP27iuz8dFxm6HxS1Py1t1+LpyT7rMXTGHB8BMqWTpzDXl51GdPfL194b33x39n6jz/muXf/Bd2vbUMzdFrvvpolf/mh0+4f6+wltPcwmqFn0lChTVtQKRNPbQ2+pkbi6dTHnIWYHXvATKEVlKAXlaIGpDTSqJ8LQ457Ztl0iPfKCXQPHGfJrWkaWqWM1977Z9i7PosaWTtKKIoXSJRiu7hpMu3jWHuflL/90qdA5dWCrWN7KwCNRFhEmcmkjvL6sFQ69aGRtDTwiSHW8LCIQw/ukwhKu1OWest9V/CTHz0NwF3vvD4zVqUUT/3mtww5k+3bsd2JLsyZN5Vt64VUzF08mV2OJXe6xfmktgaGO4cx3AZDTlv04oo8UIry6fUMrJeJv37VgozVe/VNV4JS9P5MVspVd9950uQ8+F//QvLgXvT8Qqr/5G+p+tQXMYpLqf7Th/DNXYSKxxh89J9POfZTIROpuEinTmXbmaqPbO6CObI5LSSfjrs4e1uEdz35W5RlUzitlbzG3730QbYjRyouElYiyaDj2pjuZ5CNSIUi9KZz39dMrCZk1sfuoOH6xdgpkz2PPk0qFKO8bQq3PPFVlv7Vh/EUnV5A2u+4NpbMn4mnVMp6AxtklVm8VKy6404Y3TdrPqlME7E2VI8IArWSevCXoEZEKyCkwmkc5qs8ScehN/8BFC8GM4QaeE4em/kNtGLHq6R/DQyulyhF6ZUQOAzuAlIHJUJiBkT8GHdMpRIJF3j92MogGnYsuy0D23CjHDKhGTrxlKKktphkyqJhWjWdXf3487zoPosjhzopKi44IfXx3e88wj13f5APfuAPT7pvtm2zfauQqHnzp7PdiVQ0NtUw0h/C7XHRf0juQWmF3P+meQ307JCUhxWQFEnjihn0rNkOQOWCKQy+Jfe67rZVjLzxJsnuHlwlxZTfdGKPltjOzYRflPbnNV/8OvnLV43eX6+Xqv/356AbxHdtJdlx+KTxnwrJtKai4uI0FSNbdpPoHcTI92e1/8zQBnldsrlVeyoU4egPpTFe0wN3TPBocjgVcqTiIjG8fjtWNI63soyiWdmZawXo/tWLWLEE+ZMaJ/xLx/B6uOLvH2Tmh2/D5fcy44O3sPo/P09hc81Z9+1/VbQTlVcvzTyW7vdRtHghdixC4rD4ifhnz8c8JOkO16R5WJ3ypavXzYVQh3hIGF4obISE0+Lce/IEpbmLMNr+C61SUl9azT3olaOusfYucdPUJv0e6oCYJ1G1HDXcCZ58zJEUePKwkgbKV4xt68QyZMKF8oh7ZiRiobsMkjZ4i/NQQDQphKSoXib6a25ZyI8ek8n5vvfcTL6TN4/H43zj76WB2XPPvsyunXtPuIajh7sIBSN4vR4am+rY73hUGJYQqMltDex1IhZmWHwxKmtktVszu4GuDRLlKChyYyVSFDRWkThyVEow22aQ11TH0IsvA1B+840n6I5UKsnAv/49AIU3vgPfzJMjZa7ySvIWi94m+NwvTnr+VEgLNT0VF1c22fOMkO3q1SswvGPbRfVSwTatjDdF2eKTS7CzBR2P/xozFCG/teGS+ujkcO7IkYqLRDosWrlqWdbmWpVl0fFTCZc3vuvWU1ZUXGpous68T9/HPWsepu2z96O7z16olBwJZto5pz024p1dJLt7wDAonD+P+J4doqeoqsVVUU3KIRXu1nnYjp7CqJuDSjcRK5mMphuodKTCe+oJSjO86LP/BWPp0+gzvpZ5XAV2Q9fTgAZTfx97v4T/rUBSns9rBjQslQ9oREeEJKRSLpTXj610whETTddI2hqWywVoDA6IKLSnewS318XeA6J7WLpqFs8+JZqS93/4rsw4Hv7uo3R392b+/853Hjlh/Nu2CMmYOWcyB3Ydw7JsKmtK6dwnZKqxpZJEJElhaR6dTnSChFxD/exa4sNhPAU+Io7Ys+H6xRnL+qrVy7EikYxYtmz1qhPOPfzTR0l1HsUoKaPs9z5xyvsLULhayodjW9addpvjkRoQDYz7IkiFlUhmnFnTlUTZiNDeQ5jhKK7CfAqnt070cC4IdipF++NCmFs/9i60c6hoyuHSIztnwcsESqlM7fpElGCOFYa37JaOpIX51FxmtevnQ9QG39wCtqJgSjP+2koAQptEJ1IweyZGXh7x3U5X0plt2KEh7AGZBF2tc7C7051J56KGJfVBiRN9So7IeDynz89rmoaWPxVNGx2z2v89+aPhDlTfHkgEIL8O67BERZLHZOJLDMZAN0glDJRHyEQkZIEmVR+WS1IfwVASw20QTynyy/KxgFkrJtF1bIC8Ah/bd+/EsixWrJzPjFlSkvurXz7Ll74omo7bbpMIyptrNpww9m3p1Efb9Ewp6ZxFk9i5VjQmHkOuadK8ekIDYdw+F327RazpQbQWDcun0f2646K5fBaBrZLDr7xqMcMvv4ZKpfA1NeKfNDqphde8yMjP/guA8g9/GqPg9JokT4s4maZ6O0+qDHo7lG2T7HciFRfRV6T3+TcwQxF8NRWULJh5wceZaKTTgqWL52TtZBzadwQrEpNy2Czuu/K7jhypuAjEu/pI9A+huQyK52WvAUuv0+ujatWyrO6smq76qDiO4AXTDcQWSi48vkcmPd+sNlKHhUQYNZPQ3B7sfplM9brZqIBMplqaVKSkMRXucxe4KTOKOvwjOc6Uj2Jv/Cd5onCmGGxVTMOOJcFbgGUa2L5i6TjqpD6SloHt9qLQiIRHUx/uIilFi6UkqpHU5PeqWxbyg//6FQCf+tzvAfD662t53+89iG3bfOCD9/MXf/lHAAw4q/g0dmyVyMzc+dPYvkEI1fQ5LRzaLqQr2CN6j7Q/Reu8RiIDIdx+D8P7hVyU1hRixZMUNFaR6u3NiOn8ddUMPHecg6YTCUt2HqX/238jx73tPgquHBWVngquUoccmCZ2cOSM25ojAVQqBZp2waRCKcWxn0gEr/6em7I3EqlU5jNencXeFIEd8h4tnjs9a1+L/wvIvTIXgeHNIuwrmjk5aydj2zQzfRmqb1g5waO5cMS6+zOiwNrbVgGyWg1tERJRuKANlUqR2CevmW/mPMzDjp6idQ523z6wLfCXohXVjoo0i51VtZkmFQXnPCZ16AeQCkB+CyqpUL0bweUn5fTXsFKig0glPYBGtF+qOZKmC9vjx0YnEjHRDJ2krWHq0gukv1fG0j8Yxut3s3GTpHw8JRrRSIzZc6dy3Y0rOHjwCPfe/SHi8QS3334j3/nu31Hp+HYMDIh7Jsiks32LQyraprFjk1x7cX6+mF41lnJ4i5SLxodFkFlcJuSiaUEzA7vF4twOCPGoX72Q/nRa8NplxDuOEdmxC3SdsuMcNEee+CEqmcA3dxHlHzxZPPp2aG43RrFU3phD/WfcNtknJmDusjI014V5/IX2HCK07zC61039O8av6dl4I7jrAPGuPgy/l4qVWdxAbJtE04rnTJvgkeRwJuRIxUUg0+tjfvaGRYfXb8cMhnGXFlOy8OROn9mC7l+/CEpRungueQ0i6IwdPoIVDKL7/eTPmE7i8D5UMoFeWIy7vnnUSXNSG3a3kA2jdhaapqECIkocjVTIZIrr3CIVKtaD2vqXcowZn8xEKbTm21D9R8HtI3FIdBCJ4RS43KRMF8pXgFK6VH2kUx9O1UcoksLwuEhaUFxThA00zaohFIxS21jBpq1Ckh74wB1omsbD3/0+gUCQxYvbeOyH38HlclHhGEHZts3Q0Ijcu65+BgdHMAyD2tpqOg6J9iIyICRn0rRaEtEkhWV5HHMiF0mHXJRUStSkal4z/RuE3FQvmsbQehlL1bXLGXhGKmKKlizC41RimAN9hF+Vx8ve+/vnHJI3yiStZQ0OnHG7ZJ+QDk9V5Tkd91QYfHMLAOXLF2R1CWbP09INtuKqxVlrzKeUyjRsLJ6bIxWXM3Kk4gKRCkUyAq7SLFZTD6xxbLmvWYLuys5cq1Iqo9Cvu2O0hDJteFUwZzaay0V8r+gYfNPngFKYjq7BNbkNu1dWQXrNDMnXB2TC14pb5GC2OF1inJv6X237CqSCYsNdsQrV/gJoOnbK6V5bMhVsBYU1KNvA1EWoGXPKS5OWgeW4Z4bDJrpbUh+6X84fTsh2w1GJWlx7xyI2rtuJpmnceuc1pFIpfvz4kwB86c8+h98vkYXj7brTuoQd26RyY8q0Jg7slIhE0+Qadq8XYlVYIBNRy6xaktEkheX59DpGV4mBEbnvs+pJDIdwF+ZhDQ2iTIv8yY34aysYeEocNCtuHTWGG/7xf4KZwjdrvrwe5wijUDQXViR0xu2SPUKMPNUXbuI2+KZUDZVlsS13KhCiy+mDU3vbuTmrXo4I7z9Com8Q3eumePbpmw3mMPHIkYoLxLGfPoMViZE/uZGyJdlLKtIpg2zuZxDcuZ9YZy+G30vlcZ1VA2tFnFa4UCzH4zu3AOCbMRer7ygqFgKPD1f9VOweiTrpNTMg2iutzDUdChvkYMrpKKid/SOjhrehDor4UF/0dext/ym7ttyMuecVAFL9stJPhOS48eEE6Dqp41MfUSuT+rB0qfoYGoiiGxq9vQFcHoNduw+jaRquQiEIy1bMo7aukmefeYn+/kGqqyu54cZR/5RIZLTdcn6+RBkyeoq2UT3FrPmT2LP+iOwzKGPN94tzZ9PMGqykRXFdCX3bhHi4kb4ftVfOo++FNQDU3HgVQy+8jBUM4qmuomSFuB8mjx0h9JKU1pa97w/Oej+Ph+aXMav4mdtGJxxS4a09exnyqZAcCRLYIWSr4ors9abo+Nkz2PEEhdNaJ9TU7mLR/0q60eH8rI22/F9BjlRcAMxojPbHpXdDywfuyVrRUKyzl1hHN5phUJbFhjjpKEXl1UszXzhWOEJ4q0QiSlYsR1nWKKmYu2jUn6J5FprhGo1UVM9ABZ1upAV1aOnIhBLxJNqZozlKKexNnwcUWtO9UDwXe5e0aafyClR4ALyFmP3D4PaRHEqIPbfpQnkKUGiS+tA1kpaBqQmZCIaTGaFmaUMZCqhqKUNpsPL6ebz8kvRCuPMeyf3/4DFpq/7u99yN6zhNQZpUaJqG37lX6UjF8XqKqrISzJRFZX0JR7aJEDPUOwKA3yPv99opldgpi5LWaoYcN87qhVMY3ih+CFXXr6Dv50/Kpd91RybFMfQ//w62Td7Sq84rSgGg+4RU2LEzk4pMpKKm+ryOn8bgm1vEKnxKc9a2B7fiiYzQtPl977gsSsUvFP0vC6moumbpWbbMYaKRnbPhBKPnmdcwg2H8DTVUT2BDm4vF4DqZWIvnTsNVcGnbnI8VlGVlGohV33Rl5vHgxk0o08TbUI+vsYHk0YPYkRCaPw/vpGmknNSHu2UOKjqMCskkpFdPRwWd1Edh0/Fncn6f5Yu592XofQV0L9r8r2Dv/Skkg1AyGfOgnFP5G+U4RfWARkr5EI+KhKOjcGEZkvqIRC10j4ukDZpXIgXDAfGoSKc+lqyalUl93H7XKo4c6eA3vxHr+N/7vXeeMLxIWPbNy/NnJpnt2yRSMWvOFLY79tymU4EyZVY9qXiK4op8evfJPQq0i57BpSQ60bB4EsFDXWguA8IjoBTFc6dh9fcRO3wE3eel4hZJfcS2bSD61isi2nzv75/5Xp4Cuk/SOHY8dsbtEj1iH+69QFIx4PROKc9mYeP2faQCITwVpVRem709MkL7DhM+2I5m6FRcmb026WOF7373u7S2tuLz+Vi0aBGvvfbaGbdPJBJ86Utform5Ga/Xy+TJk3nkkUfOuM/FINf6/ALQ+1sJ79bfdX3W1nwDDGRq17M3fRPYsZ/UcABXQd4JaajAOpkUipdLPXvGmnvmPDTDhXlUhJmuFqfyA7Hn1rwFEBIxolbUOHqidEdB88yTmb3bEWRO/iBaQTP2rh8AoE++m+Qz8kFOdkrvjVjXiIwtYILhI2W5sL1+VFQjErHRDA9JW0PpBmAzMhJH0zX6+oJ4/W6OHOvG5Tbo6pOW7Fdfu5jqmgo++pHPkkqluHb1lcydN+uE8fX1SylpZZWsvgMjIdqPyP5lxaUMDQRxe1x07ZfqiYI8qWpqnFJJ9+Yj1EyqYKSjD92lMXJQ9vO5hHBVLppOn/PZqLl1FUMvSC6/bPW1uAoLseMx+h/+OwCKbroLT9PJre3PivTnzbJOu4mybRLdDqk4TWv1M8GMxDKkIt0/JhuRbrpVtnhO1uqlAI486vSLWb0iqwWzY4Ef//jHfOYzn+G73/0uK1eu5N/+7d+45ZZb2LVrF01NTafc513vehe9vb3853/+J1OmTKGvrw/TNMdtjLlIxXkiMTjMiFNKWpXFNd+Rw8cYfHMzaBo1N1559h0uU6RtucuvWIjulpW8UorgeqffxxJZ2cR3jZpeKcuURmKAq3k2dp+E7vUqp8FXSML9FDSMnijtT2GeXiCohrdLN1I0tBmfQg0fQHW9CZqONRIDZaNVz8GOxiGvBDNigr8A0zKwDIlWREIW6DpJW8fUpIQ0bXiVtKGouggF1E2vBA2WXDWLJ38uVRTv/r3b2LVzL//zw/8F4K+/8qcnjbG3R8hCTY0IGHdul8hEQ2M1h/d1AzB9TjP7NksKKNQnZaIel3xVVNWL0LR+dj3xoTDufB/BfRLZqZrTRORQB7rXTdWqJQy/Jr4haQfN0Au/xuztwlVRfUbnzDMinWpMa1xOgdTgICqZBF3HU3X+Qs3+V9djJ1LkNdVSOP0CiM9lgnQaqnRR9qY2w4c76HtJypNbPnjPBI/mRCgzctE/54tvfvObfOQjH+GjH/0oM2fO5Fvf+haNjY08/PDDp9z+mWee4ZVXXuGpp57i+uuvp6WlhaVLl3LFFeM3d+UiFeeJvpfWglIUzZ6acW3MRrT/WOxuK65aTF5Tdnb6U0plBFyVq0ZzrfHDR0gNDqJ5vRTMm4NSKuOk6Z/VhtV1EFIJNF8+RlUTyfUSqciQirATqSisGz1ZmlSkTk0qVKwb+9V3yz+N70ArnIT54mflOI3Xktwi99u0S4FObL0YCJBMegCTeNAEwytVH273cakPD8mEhbvQC+EoA0Ny/uGY/G6eWc0vX+qluKSQW+64hg+8T4yu7rrrFpYsOVlg2JMmFdXy3t3hpD7mtE1j3asyCTU31dC/cYjKhtKMnmKkQyIcdlT6fpSU5xED6hdNYnjdJtA0jKR8SVZctYTYvn1YoTCustLMaxB87kkAiu/+PXT/haXb0m6lyj69o2aiS8iRt6b6gjwq0iZq1TdcmbU6BDMaI7hLCGM2k4qjjz4BSlF5zVIKJp96JT5RsH8+GTvvwt8fdlTew8Fg8ITHvV4vXu/JvkfJZJKNGzfy+c9//oTHb7zxRtasWXPKc/zyl79k8eLFfP3rX+exxx4jPz+fO++8k6985SuZirCxRi5ScZ4YfF1WwFWrszdHaUZjGXFj03tun+DRXDiiRzqJHetFc7soXzY/83i6gVhh21x0jwez+xhWYBjN7cE7ZSZmu5P6aJqFpuvY/elIhdhAE5awvlZQP3oyp925ip9suqSUjf3mxyByBAomoS/6BirYgb1d0h2qZDHERtBKG0nuE0ForEvacseGk2C4SDnRCkU69eEYXmk66aoPNAiG4hRXFLB3bzuaprHngJCCu995PW+9tYFf/vJZdF3nr778J6e8Z52dkhaoqZUVfFqkOWfuVNa/6hiDaSJOnTS1BitlUV5TSKAngMujM+BEM9KlpIXFsm1F2xSG1zmW9dcsZfC3kvooveYqNMMgtm0DqY4jaF4fhVef2KH0vJCZ5M9AKo7J63chqY947wBDznVU35i9ZnBD67ahLAtfXRX+ugsvq51IpAIhep4XgtfyoXsneDTjh8bGRoqLizM/Dz300Cm3GxgYwLIsqqtP1AlVV1fT42iI3o5Dhw7x+uuvs2PHDp544gm+9a1v8bOf/YxPfvKTY34daeQiFecB27QY2SZh82wuzxp4dQN2PIG/oTqrjbsG3hCCV7pwNq78UdYd3LwFOM6a2/Gn8Eyegeb2YB6V8lFXs1x7xp67UurfVcRpvJU/Wo6oFU2VaSx4YndPALXnn6HnJTD86Nf8DC2vFvPFz4CdQmtclTHZ0qoWwL7XoKAce8iE4irsQBxL8yKpDxPN8JCwdSy3G7AJhVO4vG6SCZP8inz6u5LUTqtg32AHc5dM5oXfvgzABz92D9/8x+8A8KEPv4cZM09dy9/eLlGYpiZJ7aQbidXX13LsyG8xDJ2BjhEA/B75eqhtLqN7OETD1CoiB7oobShlaJ9EMOIdQjJqFk+l54db0NwuSudNp+ubXwfElhsg8Iv/AaDwutvR88/dlfSke21JLlhzuU+7TfyYjM3b2HDabU6HzieeR1k2JQtnk99cf/YdLlP0vSji5WyulgjuOgC2wt9YS9GMyy8Npd9zEL3o9L1qzrp/MAgfq6Ojo4Oi445zqijF8Xh79EwpddqImm3baJrGD3/4Q4qLJXX5zW9+k3e+85185zvfGZdoRS5ScR4I7T2EFY3jKsq/7EJx54OeZ8Rhr+amq7M2vKuUypj6VB73xalMk/A2EagVLpwPIJ1JAd8MCQOnOhxS0TQTlYyiRmQS0iuniCFUVEiFdhypoNghX6EDKCs5er7hraPOmQv/Dq14Oircib3jUTnmzA9gH34LNJ1Ep0Q5zJSQiLjTqTQWtsAwSNoGpiGW3ZHIcYZXjlhyJCgi0S6nUVZhpQfbtrniqoVMnd7MU7+R/hrvuv8dp71v7e1yrc3NjcTjCfbtOQJAIijCx9nzJ3HAseQe6hBBqW7KcwV5MpHXTBJXzMoZtYzsOYqma7gRc7DypW0E161DJZP4WlvImzqFxOH90llU1ym+4/7Tju1coEwx/dKM06+H4seEOPkazo9U2MkUnb+QqpnGd958gSOceFiJJAPpiGoWV6elfUKK51yeZleaK/+ifwCKiopO+DkdqaioqMAwjJOiEn19fSdFL9Kora2lvr4+QygAZs6cKX1tnM/JWCNHKs4DI5skPFwyf1bWelMkhwIZC+Wamy6vjqTng5Etu4ke6cTwe6k5rpQ0smcvdjyOq7gIf2sLAIl9DqmYPhdl21gdsjp3Nc3EHnC6keaXoeWXQWIE0qQh77iwsb9OLLqVBaF9KCuOCh3CfuU+sFPQcDvalA8DYG34FlhJtPorMY+JOZTeuBjz8B7QDeI9YfkdtNC8PkzLwNSFaITDFprLcFIfItQc6ItI6iMcp6A0j/37O3C5DA4eOwLAPe+6gTfeWMfg4DDl5aWsXHn61WmHE6lobmlgz65DWJZFWVkx+7YLkZg0qV78KWqL6T7Qh6ZB/8E+QBHulpSNlhACUVYtq6vKRTMYTnfrvXYZg8+KcLTCaR4WeFJ8OvJXXIu7+jidyoUgrVo/g1Yi3uGQivOMVAyt20ZqOIi3spSK40zUsg1Db23BisbxVpVTNGvKRA/ngpFpIDY7Z8sN4PF4WLRoEc8///wJjz///POnFV6uXLmSrq4uwuFw5rF9+/ah6zoN50m6zxXZOTNOEIY3iZCtpC2LUwZrNkn3yOmtWSvQBOh+6mUAqq9fictxhgQIOf0vCtrmiV4iGiHZLh1HvdNmY/d3oOIRcHkwalqxB+Q5vcLp8RFzekp4CtFco859mqZBmaRT7KeWYf+4HPtXcyHaCb5K9KXfkZ4hyTD2zv+WYy75I8wtUolhqRI5TsUklNKhoBylNFK200wsQyZ0TMc9U3p9GKRsKKwqxAbKGopAgwVXTGf71j1omsZNt17JT378CwBuu/3GE8yujkcsFstoKlpamtiwVsjW3PnTWP+aEGavJtGIxlYRcjZOqSQZS1JUmkekP4TL62JwrxAQOxQAoKqtlfCBo2iGQX5dGZHde9FcLsquX03i8H7Cr8vqv+SuB876up4NKimERnOf2i7dTqUyQs3zJRWDb4llfcWVi7O6BLPjp88AUH3DFVm7+LHiiUxvpeK27O0APdb43Oc+x/e+9z0eeeQRdu/ezWc/+1na29v5xCekmuoLX/gC73//+zPbv/e976W8vJwPfehD7Nq1i1dffZU//uM/5sMf/nBOqDnRCB/qGLW0vmL+hI7lYjD4pnxxZrOpjxVPZDqr1tx6zQnPZVIfbeJZkTi4B5TCVVmDq7Qc85gTpaifima4UP1pUiE5WxWXkD++spPOq7W++20PuCCvHn3JP6H5xPfB3vM4JENQOhVl50tqxVtAYo98QSaGJXwfGRBHyFgwlUl9pDQ3oBE5vteHTybPQFiqLtq7JTVT1SxRgsXL5lBUnM///kwcXt/z3tOX3R06KKWfJSXFlJeX8tor4sUwb95Meo4N4nIZ9B+V63c7Jl8l5ULYalvkftRPr8aKpyisLSGwV8pO01UfZcvbGH7hBdnv6itxl5Uy9NjDoBT5K6/DO/niJ4e06ZXuzzvl84nOLrAsdL8f93m0PFdKMfCGCHzLr8jez0Zo32GGN2xHM3Qa3nnLRA/ngjG8cQd2Iom3upyCKc0TPZzLBvfffz/f+ta3+Ou//mvmz5/Pq6++ylNPPUVzs9yj7u5u2tvbM9sXFBTw/PPPMzIywuLFi3nggQe44447+Pa3vz1uY8wJNc8Rhx/5GShF1erlFLQ2nn2HyxC2aTHkuGhWrMjefgYDr2/EisTw1VRS0jYj87gyTcI7ZMVdMFdIRXyfRJe8U8UEKuNP0SgT3GikwhGCxaR0UvOVnnRebdL70SpXiFW3txzcxSdoUpRS2Fv/AwBj3sdIvvWo7Fc9H3VsJ1pxJYnDw2C4ScY09PxCrIiN6XaEmhELzeUhGdfA6wJSDA3G0HSNoeEIXr+b9oE+ikrz2X9E0ja33nENTz/1AiMjAeobarnmmtPn0A8ckFTMlCktWJbFG6/KJFrkl3zrrPmt7NskX0j9hyViEx+SsKmWFDLk92pEgJpp1Yys7aF4Sj3Da52mdFcupPffRCxaddedxHZtIbZlLbhclD1w/u6Zp8LZSEX8qIzf19x0Xnqh6NEu4t39aG5XVlvWt//PrwAxisrmkve0JqTiysVZq/saLzz44IM8+OCDp3zu0UcfPemxGTNmnJQyGU/kIhXngGhHN32OFXTrh995lq0vXwR3HcAMRXAVFWR1rrXnWSmHrbn5qhPCu9EDB7HjcYzCAvytwtwT+52w/jRp6246egqj4dSk4oyRCk1DK5qGVjgZzVNysgq7ey1qYDu4/FB1BdZOaZqVCjjlj8XNgIbylwIa8ThIZGI09ZFuHBYIJtFdOkkbSupKUEBxXQFocM0tC3hrzRYAbrn9av7rv34MwHvefTf6GcLdGzcKoZwxcxpbNu0hFIxQUlpIT7tcc2tLHamkSWV1MaHBCD6/m8Gjg+gaDB8RXUXwqERKjJSkIarmtRBt70b3utGTIVQqhX/KZPJnzSD0/C8BKFx1C+6ascnfKqfnh+Y9dVOpmEMq/E3nR/zTUYrSBbOytmFVcihA7/PiV9D03jsmeDQXDts06X9NomiVOVvurEOOVJwDep59HZSibHlbVofijrftzVZ7cTMSY8gRBVbfcKKPQDr1UTBndoZspEmFb6roYMxjIv5yNUmEwx6U1buWjlSkHEGT5/zsgJVSWG9IFYg+/Z2YG38KSqFPvprUQUl9RA5Jrj/SJxNjPGSheTykbANTF21FOGxmGoelUx/DAdm+d0gmf2+xjmVZzJ47lUg0xDNPv4iu63zwQ29Lz7wNL78kNf9XX7OCNa/JJLpi5QI2rZHojWHKPatrkChNw2RJH9ROqsA2bcrri0kGo/hK8hnZLffNdZzhVWCNEO/yG67DDoeIrJHqnMLrTz3BWUPdhB77axJbXjzb7c3Ajsjrc7qy1NjhIwAZke65It1ZNasFmhu2oyyLgmktFM2cPNHDuWD0/fZNkgPDeMqKs9q46/8qcqTiLFBKja6Mb7p6gkdz4VC2nbmObO71MfjWFuxkCn9DDfmTTlyNBjdJGL5wnlyfOdiPNTwods2t07CjIexBMUZy1U9FRYchNgKAXuaQRae3h+Y6dXj9dLD3/hR17DVw+dHn/yGpjT8BQBVMEXJRPRkrGEHzF5BK6WgFRdhKJ8komUhXfSiPPDY8HAcNBgZDeP1u+oaHySvwsdkhT/e86wb+/u8l3XDPPbcxZerpa/kDgSAbNggZW7VqJWtek3s1b94Mjh3uQ9c1uvZJyatmSWTF65JITFGhiDdLK6UErm5OHVYsQV51KSMbJPpRtXI+kR27QNMoveYqwq88g0ol8bRMyaSejkdy91sMf+VdxF/5McHvfJr42t+c0322wuI+aBSc2h8gdkjIjn9S6zkdDyDW1SueCLpGVRY33koLycuyeCJWSnH0fyTC1XDfLeie0/uR5HB5IkcqzoLQnkPEOrrRvR4qs3gVM/DGJinBzPefUIKZbeh/RfoAVF6z9IT0gx2PE9oiE1zR0sUAJA5IhMDT2Iru82N1OnbcpTXo+cXYg0cA0Ipq0DwOiUg5LbXd566MVskQ1qtfAMBY+seYe16DVAy9egaJPfJFnzKl9tzylgAacacLaCRknpT6GAnE0QyNlA1FVYUooLK1DDRYuHI6a98UcrBw6Ux++hP5Av6jPz6zQ97rr63Ftm0mT2mhtraatW86VTI+ichMm9XM4Z1daJpG30EhF0NHBwBFuGsYUCQHpdrDg5R1Vs6sJxUI4a0sRQVFi1IwZzbuinKCz0s1SuENJ7bcVmaK6FP/QeCbH0OFhtDyi0HZhP7zCyQ2Pnfm+2zb2BGxJ9dPQSrseFyEmpwfqUg3CCxdOBtveck573e5YSRdnbZw9gSP5MIxvHEH4X3S2bbhnotwXs1hwpAjFWdB2pmu4qrFJ7g2ZhuO/UTy+w1333hCCWY2wTZNBtfICrtq1YleDKGt21GpFJ6qKnzNYkyWJhXeKenUh5jpuOrFTCdDKspGU1oq3YXUOPe8ur3pXyDSDcWT0Bb8P1JrnZLSWXdiHdsHhovoIZnsQsdkYk5EFbrfj2nrp0x9eArzUMBISMYzFJEVujtfQynFshVtvPjiK9i2zXXXX838BWdenb76qryPV61aybYte4lGYqKncKo96pyupa1Tq0klTErL80hGkxQW+4kHovjyPUT7A+hug+BeqSJxK0dXcd0VDL8shmqlq64mvmPTKS25raFuhv/yLiI//xYoG++KOyn/+m/xrbwbbIvQo38u5b6nu8+xCNjSSEwvODk9FTtyVCp9Skpwl50stD0VlFIZy/rq67O3QWC8p59oezdo2gni5WyCUopD/yb6oLrbV/2f70iarciRirMgrUOoyOISzHjvAEMb5Drq77lhgkdz4Qhs24sZjuIuLaJo9okue8FNWwAoWrIwszKO75VrzlR+dAmpMBocO+4RMUnSjyMVnKfSXKUiWJu/K8e94i+wj21BDR0FbwHmsJNKqWgFC/SqemxLy6Q+EpaYW52Q+vAKwRgalIjJ8EiUvEIfh4924XIZbNgi13n/793Kc8+KZuGd951dlPfmGmlzf+WVy1i7RiIdS1e0ZfQUxCXlUV4uWoXKOqkIqW4skd+t4qJZO72GVCiKr6yQ8G7H8XB6I9F9+8Wb4tqrGfn5YwAUrr71BO1D+Edfw+o9glZYTsEHv0Lhh7+K5s2j4ANfxqhqQsXCxNc9fdprsAJCgDR/HrrnZNfBjJ7iPKIUI1t2S2dVnzerSUWf01ivpG0G7qILt0GfSMS7+ghs34tmGDS//+6JHk4OF4gcqTgDzHCE4B6pDshmwVDPM6+BUpQsmIm/7tR2rtmAdEfS8uXzTzL1CaX1FAvmA6AsKxOp8E2X187KRCrEoc8edrqRlhzn8qg5AlZlndOY7O3fh/ggFE9Cn3YP5obH5Rxzbif+hqQmkk5j00RcKrhjISf1ETTR3C6Sto7tEo+KwEgc3dBJmIq8sjxsoGZqOWgwbV4jhw61k5fvZ+XV81m/fgsAN9107RnHGIvF2LxZCNbyFYsz6ZO2thkc2H0MFBzbK91LY0NCZsywECLb+W2Y4jKaLoyobmvBDEXwlBWTdMpbi5cvxRroJrZ1PegGxXe+JzOG5M41JDf/FnSDkj96BP+V92TIn6Yb+K55FwDxV35y+nvtkAqj5OTKHBgtJ/U3n7uFfqfTNr7mxitxFVxY59TLAf0vp7v1LpvgkVw4Ajvl81k4vRVfVfkEjyaHC8W4koqHHnqIJUuWUFhYSFVVFXfddRd7957ckOlyxfDm3ZmGNtn6JldKZdwna29dNaFjuRhY8QTdT78CnBymTg0NZwR6hQvaAEi2H0LFY2j+PNwNLSilMDsdUvH2SEXJaLmjdh6kQllJrI3/BICx+LOQjGLuEBMq21WDigbRS2uJH+sD3SByTESjiahC8/sxlY5piEdFKJhyOpOCt0RSH7GkaBcGHedKd4FMwnfcdS1r1qxDKUVb22zq6mpOGtvx2LRpO6lUipqaKpqa6lm3RvQUhT7RJbS01hIYCOPP89B7eAAdCHSNYOgQ6h5GNzRC7VJSGjnsNOtyydgqrlrM0AsvA9I8bOQJseQuuPK6jCW3SiUI/0g6L/pXvwdX/cnlzL4r7gKXG/PoTlKHt5/yOswRsQk3ikpO+XysXZw+fedIKpJDAfpeEhO1+izO3yeHA4xsFQJdmc0NxBxS8fYoZA7ZhXElFa+88gqf/OQneeutt3j++ecxTZMbb7yRSOT0edPLCYGtEhouXXiyej1bEDnUQfRoF7rHndXt2vtfXocZjOCrraR8+fwTnktbc/snT8JdUgIc508xZSaaYWAH+lHRIGg6Ro2Ex1VASjy14uMiFS5HN5OKnXVM9s7HINwJedXos34Pc8sTkIqjVU0jvlnEf6piKqChV9SjlI5eXI5CJ5GSlubhYBLN0EnZGprPgzou9TE4HMHjc7NvfweaprHviHRTvfm2q/j1r2SFfdPNq886zrVviZHQsmULObi/g6GhAD6fh67DMkmP6imEnNQ0lZ74e1I5ylZUNJVhRuL4K0sIOX0Z8qsLMYeHcZUU46urIPKmpGSKHUtupRThH3wFq+cQWmEZeXeeWlCqF5binS/Xktzx+im3sUacSEXxaSIVR0Tr4Ws+N4+Kgdc3oEyLwumtl2UXzHNF91OvgK0onDk5qw2v0tUrxXNzvT6yGeNKKp555hk++MEPMnv2bNra2vj+979Pe3s7GzduHM/TjgmUbWcsrYvnZO+bPGPqs2hO1go0YbTXR+1t157ksRHeJivbtDU3jIo00/4UVreksYyqRjS35OPtkNONtOi4lb7TmVRFus84HntgJ9YrfyLHXPwZQCP5yr8AoE9ejdW5H1weokclrRAdElFjZEjstqNhC93jJmnrKI8XhcbISAJN04glbPJK87CUorKlFDSYs2gS7e2deDxuFi2bzTPPiLfD3ffcerZbxwYnTbJ02ULWvSUEbP7Cmax5YZtzs+SXz5Cvg4J8KePzu+V/v0ciJIUl4ptR3dZMaiSIu6SQ+G6ZCCpuuYnwS0+BUuQtvQpvi0Qj4i//mPgbT4CmU/Sxr6Pnnb5VtKvFSVN1HTzl89aQVKW4yk+237YiEZK9cq/9LS1nuBujGHBEvxVXZW9Vl7Isjv1Men003J29eql43yDh/UdB0yhbOm+ih3NOUKnIRf/8LuKS2nQHAhLGLSs79UojkUiQcDogAgSDwUsyrlOh76W1hA+2Y+T5s7qUdPBNp59BNgtN+wYZWi/EofaWk71CQlvluYJTkIp05YfVLROVUes4Z5oJiDqtvQtHu5FqBdJkTYW7TjselQxh/vq9YMbQmq9HX/ApzPU/RI10ohVWYzoEwj19OaHXtoHLTWwwiub1kRiy0fx5mDEN2/AAFqFAEk2Xqg9vaR6qJ4JlyEQ+FJLPQEVjAWyAFVfOZ80ba4lGY7S0NjF//tm1Pus3bAFg8ZL5/PxHQkamT5vCU2vW4/G46dgj5Kr/qJSFBruG0VCEuoYARfiYpD4S3c6kbgkxqlg6h9Abz4OmUX7LTfT+mVhxp82uzI49hB+XtEf+vZ/FM+vMbbiNmhYArL72Uz5vOqTCKD2ZVMSOyD7u8nJcRWevGrBNM9Ott3zF/LNuf7li4I1NxP9/9t47PK7zuvb+nXOmY2bQeyfB3jtFsapRXbLkXmIndpzYsVOUcu20e780J7mJ45viFsd2XOMi2ZJVrUaJFNUokmLvBAGC6MBgejvn/f7YZwaEAJJgEzky1/PgETUYYF6cKe969157re5+HEE/1bcU7qj4kJ2rFJzdhqvkzMTzakLm61PIeC7cQjxji6PfaXjbhJpKKR544AFWr17N3LkTfxB+4QtfoLi4OP/V2HhlMjaUUhz/hgjGmj5wZ8GONmUiMUZ2iYalYlXhZn3khaYLZ+GtHys0zYRCeYFeYJ68rqxUinSHaCzy46S5SkWNTSqiskFhuMA3On6o+e1WSLQLpSZ+05vPPQDDh8Ffj+PW/wLLJP28aCucq3+L1OvSmsgo+8OxuBrQ0IJlgJZvfURG0raOQsMo8trVCmm79HSH0DQ40dWDw2nQ0SN6gZtvvT4fHnbfu24/Zy5CT08fnR1daJrG4sXzee0VIWAOS6o1c+ZOIZ3MUF7uJxlJEQi6ySQzBEu8WFmTspoAZipLsCpAJhLHFfAR3SOvKbdd+AouW4LV3Y45MoweLMG3UMSC8Se+AWYW18INeDf++lnXCaAH7VA22/Ni3HUfkjwSR/n4En+ivR0A75SWcz4OyCSRGUvgLAkUtPtkx/+IaVj9PTdieMZPxBQKBl6S6nV5AX9OXYPgbatUfOYzn2HXrl1s2TJxvxQktvWBBx7I/384HL4ixGLkzQPEjp/E8Lpp+sAdb/vjXyqEduxDmRa+ptqCnvrIeYXU3Lpm3PdidoCYp7kJR7GMQaZPHAHLxCguxSiXKoTZbdtK19p6iqgdHOYvH7sxB5tFV5GOoPp3oVUtGPN4VvdrWPu/D2g47vgumq+SzI6HUCPdaIEqTKMalYqjVzQQ2bFT1tgvRCHSLWMgsaiJ7vKQTupoRV5ULG2TCY1E0sJfVkR/zzDljcX0nBxm+drZPLpJStxLV87lD//kcwC8+713n/PavWG7aM6cOY1EPM2xI6LP6D4uf395MMgp+qipK6XvYC/VdcUMH++jvLKISEecYImHaAjKavzEwgNUzqwltWcX7opSEnbyatmGdYSfkUkX/5qb0RwOst3HSL3+FAC+u39nUqFQmt0aUcnohN/PDtqVirIJSMVR20mzZXI2+n3Pi4la+arFBRsPHj3eSWj7XjSHQcP9G6/0ci4YqYFhBrZIRbWQqsLOTx7DGbzwqoozHIY/rTv3HQsMb8u76bOf/SyPPPIIzz//PA0NZw4WcrvdBIPBMV9XAt2Py5RB1Q3XFfSY2dA2OZUW8jhsorufyIFjoGtUrh2vbI/ulY3NP3dUTJs+JiJC19QZ+c3M7BURX16kGbNJRdHYqR7N4UFrEsGgOjbWOlophfnC/wJAn/Nh9LqVKKXIbP0GAM4VHyX1umz+Wt1srFgUPVhGOpJG9/nIpBR6IICpdLKG+FGEbSvuZBbcxV4sALdoRlLIGGdZnR/TNJk9t40XX9xCOp1m0aJ5LF587t7zG28IqViydAGv2aOkM2a28uZrIvoM90hfNxuVlk02lgAU6eEIoEj2DgKK7KAdiW4KQapcNY9U50k0pwP/zDbi20SYGtx4LwDxR78GysK1cAPOplnnXCeAZntPqExq3PeUUmQHpE3jqKga9/3EUalEeaeeW3CpLIv+TTL1UX3D2VsyVzOG3xA9S+mi2XhqCleg2fXzZ1CmSfH8GQSmtVzp5UwamrPoor/eibispEIpxWc+8xkeeughnnvuOVpbJ29Kc6VgJlP02uFChTyCmY3F6bHJUXkBx5z35019ZuEqKx73/eheO+p8ziipSB2zy/NTJIlUpeJYwz0AGNUtcltMJh8033h9jz71TgCso4/mb1PRU5jPfBrV/So4fBirJDzM6ngD6+ROcLgxZt1OZq+8dpKnQvJzwRpAw3IHAI1kenzrwxnwodCIRiVevKtT1tZ+UjbRE6ekvXPbXWv5r2/IyOZvfOJD57p0wCipWLp0Ac8+LRvp9KlTSacyVNeU0nGgBx0Y6gphaBDpi+By6qQiSXxFTrKJNP6yIlKDIzg8DmKHZPN2uaU1VLx8GfGXnwPLxDN7Ia6GFqlSvCYOrr67Jo5ongia0zbByGZQ1tiRXiseRdmx546KsVU3pRTx47nMj3OTipFdB0n1D2MUeQtGFDgR3gm23FYmQ9fPpF3Y8J7brvBqruFS4LKSit/5nd/he9/7Hj/4wQ8IBAL09PTQ09NDInHucb0rhYGXtmPGEnhqKylZNLkT1tWIUw8/SzYax9dcT0UBxwfnsj6qJjD1sdJp4ofs0cYxpMKuVLTKvHuuSqH5S9D9JQCoeI5UjLdz1ltvBTRU305pd7Q/Tea7y7H2/DcAxqq/yGsvMi9/CwDHgntJ7X4ZlIXRMIPkoUOg6YTbRQcQ6RHBZXQknTe80ryioxgZEeFjLJHF43eTtiwqGkswMZkxr5mtdr+5uq6EQ4eO4vcX8f7333vOa6eUYrsdd75w0VyeeVIIj89p531Ma0YpRW392BHS6nohb2U14sxY0Sj/XzG1EmWaBKa3EN0hkxMla1YRtiPOg7fcI3/HQ/9vtErRPPlxbO10l8y3VCvMAZns0P1B9LfEnqd7erFicTSHA0/TuSPWe595CZBSe6EGVinTzI9glhYwqeh5agvpwRCu8pJx1vvXUJi4rKTiK1/5CiMjI6xfv57a2tr8149+9KPL+bAXhVysduW65QXba1VK0fXIswA0vu/2gv07MuHoqNB0zdJx308cPYbKZHEUB3HX20ZL2SzpDjlNu1tlFDg3TWBUnZbxkbQni7wl436vVlSNPvN9AGQffjfZn90LySG0qgU43vMUxpLfk98RGyK7R1okjuUfIfHs9wCwimRjc7bOIBtLovuKMLM6RmkpltKxnB5AY2RYyEQirfAEvZgKHH4Z2zT80gKpbi4mmUwzpa2RN3fJa/P+d99JIHBuK+b29k76+wdxOp0Ymou+3kF8RV5OHpEN2mFHnQf9skl77FRSPZsFFFY4CijM4ZD8Pcpux8yfSrq7B93rxaHimEP9GCXlFF23ntTO5/POmUX3/u451/iWKz/6z7eIZDN9MuLrqKod91PxIzLZ421tQXeenSSYyRQ9T4muq2bjeI1OoWBkz2EyoQgOv4/gnPFmYoUAK5vl6Fd/CEDTB+8653N3DYWByyrUPJN6/mqFUoqh1+RkV7Z8wTnuffUivOcQ8fYudLeLmluuv9LLuWAMvbZLhKYt9XjrxvfRo/vEnKxo1sy8diLT1QHZDJrXl9+AzH6ZnDAqTxP92mJAzTPx5mxs+CJW1xaI2K6b834DY/0/oTlGT8mZ178PZhq9bi7Znh6soW60QBnxI/IzGVPua7mKgDjxmJT0w6EUmu4gbWq4iouw+hIkM/Je6bbbJkc7xLmyq09GW+9/7y384Mc/AM5ty53Da6+K+G3+/Nls3iTVjlWrFvPm0x2goPOAkItIbwQNCHeH0FHE+8M4HRrpSAK3z0WybxiH2yBxwrY1t0dxS9ZcT/jxnwBQfOd7wcwQ/cHfAuC95aM4Gs7X3+W0zwttLBHO9kv7ylE5XnAcPyROjL5p595c+557hWxETNQKufUxsHkbIEJT3fG2OgNcMkSPdJAeGMYRKKLxWuvjHYPCPMJeJiS6ekn29KM5DEoWFmbSH8CpR8SLoOrGwhaa9j4tZeqKVRN7bERtJ80xrY922WDcLW35Cs1opWLUvlmlZBJDc088Lqx5SnDc+X20xg0YG/8Tx03/PoZQWOEe0s//KwCOVZ8g8dS3AXDO3UC2vxfN4yW0vx2ASLcQmFg4kze80v2ioxgJS5k/NJLEcBoksybVLWXE4gnKKoO8bk9vrLlhCfv2HUTTNNatnxxRfOyxpwFYu24lz/5SJmia6oVYTZlST2QoRjDgIRVPEwy6sUyLimq5HhV2C6SyQcTSFdNqwLLwT20kvE02tGBbPZmOY2heH4GN95DY/CDWUDd6eR1Fd31qUms8HWMOIW+ZFsn2CalwTlSpOCyVCt+0c4+Gdj38DAB1d99YsBU8gP7NEhBXSNMSb8WoLXdbwbahrmE8CvdddRmQEz4Vz52Ow1eYMedWJkOvPYJZd+fkTrRXI1L9Q/kPztoJ/g5lmkR2CqkILl6Yvz1tkwpXy+ipNV+pqDqtUpGyxxbdZyZdes0ynO9+DGP2eFFk+pl/hnQMvXEJFLeRPbEXnG7SCflwNOrbUBkTR3kFpnVa68PjQ1ofQibiSRN3wIOpwFsqrzlvuZCX+inlmJbJwiWzOHJEpjUWLpxLefm5Y73T6TRPPiHk8sYb17P9dRG0ZmOycVfb0eD1jTL9UlYp18HnkbaLYWYAhYrKdXLpkvURbK3CisVxVVeR7ZBKUWD9rejeonwYmO/Wj6O5L8C91Y41B8ZXKnLtj8qxOSdKKeKHJ1epiB7rZOTNA2iGXtDvjcjB48RPnEJzOgrauCvX2gzOLsz2zTVMjGuk4jTkUvIK2Xs+tPOAmPqUFlOysHCFpt1PvAiWonj+DPxTxnuVJI4ex4zF0It8YzaT9Al7OqH5NFIxIK0Eo6I+f5vKyqZ+evVhsrCGOsi+Ibog9+1/TvLFB+XfSzYS2yYTFomQPaKpC1GIRWVTDg3EQYNUBlxBLxYall2+HhiUDby9Q1oecUv+/7Y71/KUHXN+8y3rJ7XGzZtfJRyOUF1dSTyawbIsps9oYffrcqqPD4qew0rKxElyKIqGIt4bQtcUyYERnA4J3XJ4HCSOi9hVDcjaym/eQPy1zQD4124kvfclzJ7jaF4/7uvOHcU+IXLiTE0Dx9iTa6ZXHtdRUz/m9nRPL9nQCJrDcc5x0oEXhaSWrVyIu3JiV99CwEl7WqJq/YqCtd5XlsVgrtW8dN457n0NhYRrpMJGNhbPjy8Wz5txhVdz4RjYIqXpiusL19RHKUX3o3LKPtOJMhciFpg7d0wWSPqEnOhdzVIKV2YWa0hK53rFaZMBpmymOFznvb70818CK4sxbR1a1WxS22xvito5WOEQuj9I9Fg36DojJ2TKJB7JontcZCwdR8CPQiOWEI3FQG8UTdeIJtIEynz09g/j83vYs188ONZtWMYzT8t48MZbJ3fCftxufdx62w1sfl5eE0uWzuNkex8uw0HP8UEMTWPoZAinDul4moDfhVKK8lppgZTnWiAzalFZE39zNYnDh0HX8Zb7UKkkztpG3NPnkHjmOwB4Vt+H7rmwlptKC9HB6RljlqWUItMrxDCXfJpDbL9US7xTp6C7zv5cDtpW0GdqpxUCsrE4vU8JmSvkZNXo4RNkhkcwfJ6CPsRdw3gU5q5zGXDi+4+QCUXwNddRXqAfOkqpvN1tIY+Rjuw+RLyjG93jpurGVRPeJ0cq/AtHTzlmZARzWEytXE3iiWIN94JlgsOJXnyaQVBWJhkwzq+Xaw22k90u4kTXTX9E6tXHIJ3EqJtKbI+0z7SKRkDD1dCEUhpGSQmW0lF26yNi6ygisQxOr5OsgmB1AAWU1AVAgzlLWolG45SVFZPMxBgaClFSUsyKFed+bSqleOwx0Q7cccfNvLhJTugl9vhsS7NszE2tYotdWSe6iZIyqap4nAAKw97knXbWh79GyEbximUkt4vexb/uFszuo+LPoel4b5icf8aE687I44wZLQWsaBgVF5MuR9VbSMUBe6R45tkPAplIjJHdUm4vZN+Wnic2YyZS+FrqC7oSOWhP2ZUunnNt6uMdhmukArDSGboelJLilN96P7rDOMdPXJ1InuojcbIXzWEUtLK995cy8ld1w0ocReO1LcqyiNobeGD+KKnIjZI6KmvQvXJaNgelbG6U1Y6p3ChL2hGafn7K+cxL3xAL8OkbMJqWkNz6cwBci28l/rpstNFeiS5P2Qfv3NTHcJ9sjImkwukXHYXhk/ZLNCEkp3tASJFtJcHaG5bx2KNCEG66aS2OSSj9jxw+TvvxDlwuFzOmT6f9WBeGYXDqmPzugEuuqc8tH+YOy0JcNKPoKBJ9wxiaIj0cxnDqxI+fABTWgOgaihfPI7FbyKt/7Ubij3xFrsHCGzAqx/pEqEwCdbpW4ixQKfGv0Vxjn/NMt0ydGGUV6O6xhCO2T6o5RbPOTioGt24/6yRRIcDKZjnxA/EEabhv46Ssz69GKKXy1ZZCJnjXMDGukQrEtTEzEsFdWTahFXShIGeGE5zdVrBCU2VZecOr6hsntlBOdnRiRqLoHje+tlHFfy5EzNU02lu3hmQj1MvHnnBzZEKpsc6NZ11bMkzG1lI41/wW2Z7jZI/vBt0gHbHAMnG2TCfZM4jmcjFyvB80jWg4i+52krF0nCUBLDTSlgZo9PfKFEpfXxiH0+BUTz9uj5Mj7UKQbrh5JT/7mXhh3Puuc8ecAzz/vJCyldctYfs2EWguWDSTbVsOgIKBDkkLHuocRgdig1HcDg0znSVY6gE12voobykHSxGc1kC6pxfN5UILd4NSeBcsg9SItH80jaK7x7pnZg9tIvZXc4j/43JST/wNZve+s1/fuHiHaL6xEzk5UuGsG6utsVIp4oel3eWfe3YDqL7nROsykYlaoWBk10GSp/pwFgeou/uGK72cC0Z47xGiRzvQ3U6qby7ckfdrmBjXSAXQ9bAYRdXeuaFgqxQgbqBQ2A57I3sOj1ooL5u42pKz5vbNmIF22sk9Y1cqnI2jdvDmoJAKo+wto4i6/TybkycV6c1fhXQMrWoaxtQ1JDf9jzzenFVEXpTXkBWQx3HW1AMajsoKFDrKWwRoRCNSkRgJJdEdBmkTSmqLsYCyhmKUBkvXzGbvHhEN19SVcvRIOx6Pm1tvm9xG8tyzcgq84YY1bHlBKgotdU2kUxnq6ypJxlKUBL1k0yZlFSL0y42S+v1yPV2aVHIcGamu+O3vFy9fQuxFCQoL3HIPsYe+BIB7+e04GkerBdbIKZI//gxkk6iRU2Re/DKJf72J+JduIHto04TrtmJCKnTfWDv2jG1T7qwdSypiBw+jslmc5WW4as4cmJeNJxh8RRxAq25Yecb7Xe0Y3iGv+9Jl8wo6kbTrYdH7VN1wHc7guU3crqGw8CtPKhKn+hjeths0jbq7Cpf9xzu680LTqjOc8AsB/ZukSlG5eukZZ9dzyaT+OWN7ynmPCtueG06rVIwjFTYZsTKTWpd5YhsZ25fCdcMfoMIDJDbJCKXetARzsA89UEz4kIyvxoaklB+LCGkZ6ZeWSCxu4vS5yChwF8uGbhtbkrCkX1JaI7cvWDST5zdJ1WHjxg34J+E5YpommzaJHfeGG67Pk4p0VEZJm+y02qoq2bgDfhegIJFEQ6Y+dM0i1T+Mw1Cke/vRDF1MxYCihnLM0BBGSTmuUj+ZvS+B4aDons/k16DiwyS/+3GIDaHXzcXzwa9hzBFzI6v3AKlH/3LCtecrFUVjgwTzlYrasa2V/CjpjBlnbQUMbt2Blcrgra/GX0CBVW9FPkCsgA8NmZEIvU/L67P+npuu8Gqu4XLgV55UDG61MwwWzizYXisgoTxKUb5qUUEl/b0VeaHpujOb+kRtxf/pIWJKKdInZFwyN/kBtlAT0EvfcpJ1ycatUrFzrkmZWVI//xwoC8fC+3EuuJfEsz+AbBrHlAUkDrcD4Jm/nHTfAJrbTaw3guZ0EB1KojsdpEwNV2kAS2lYLkkoHR4SonHyhOSDHO+QKZVOexO94eaV/PCHDwFw/7snN6a5e9d+QqERAgE/xcFSeroHcLtcHHxTyE5iSESiieE4GhDtC+PQIB1L4fMZ8hqqtYWbDXYGyLwpZPr60L1ezCMisAvcdCfJzT+Vv/u6e/LGYlakj8TX78fqehN8pXg+8DUc8+7C++H/wvdHspmo/iOoZGTc2q2ITMrk8llyyBEaZ13TmNvjh6T1cS7Tq+7HNgFQddOqgtUhZGNxRt6U130hj2Ae/9aDWMkU/uktFC8oXIPBazgzrpGKV3cCUL6ycAVDZirNKfuDs+G+jVd2MReBRFevmPoYBuVnEJpmIxFSnbLp+maOjqJl+3slxdLhGLP5WCE7iOotpCIXJJYLFjsbMi9/C6tnH3hLcd/5f1DJGAm79eFZ/37ib8hmmUrbwsdKSSZ1Vlej0ND8fkAjFpeWwlB/DDQxvvKVeMlYiqqmUkxMps5q4KWtQqxqGko50d5JMBjgrrsnNz64ZYtoB65btTQ/Sjpn9gxCgxECfi/dxwZwaBrJSJIinwPLtCirkApIcamIRt2GCCtzUx9uW55TsmgWqcN7weHEv/4WUtuljO1Z+265ltFBEl97F1bvAbRANd5PPoReMdqK0stb0IqlYmT1jNdX5ElFcDSOXlnWaPujoXnM/XP23EXTp3EmJPsG8+/xujsK1/Bq8JU3UaaJr7kOX9N4V9FCQDYW5+SD0jpr+50PFyzBy0Gl4xf99U5EYZrGXyJY2SzDb+wBoGxF4U5L9D//KtlwFHd1eUE77A1sFU1I8fwZZ7QXjx+0E0hra3CWlORvz3Taeoq6pjE6C9MmFUbJ2CpUPp3UzrE4E6yRbtJP/yMA7lv/FK2onPgz30PFwxhVTaTDJiqTxtk4Jd+3j9nVgMiQbMqhgQSgEQ1nMNwu0qksRRUBBrsiOANu6ANXiRM6oWlaJa/sT1JXX8XBg3IyvfueW/F6Jye83fyikIo1a1by2MObAKgpr6WTEWZMa6Zzey+1daUk+6OUV/qJ9oRw6Yo0ikwoYrc+hjAMRWZwGM2hkzpqt5V8iiTgX7UB8+DLkElh1E/D0Son5/Smf0UNHkcracD7iR+jl7eMW59eMxtzpBuzex9Gy1jRpArLdIoWGCUV5mAfKpUUsnjaOKmZSJDMkcvpZ3Zk7Hn8BbAUJYtmFexmDKdV8K4v3FHx8L6jqEwWT20l5SsKN1sph9jfLcRwX/i5PJaa3FRUoeFXulIR3nsEM57EWRIgML313D9wleKUbRRVf89NY4ygCg3dj4prZOUEiaQ55H0JZo0tneYnP04TaapsGpU7/b6VVBSJo6KKDpx1Temn/yFvx+1Y+gGUZeXTSL23fIzYZhlFNhqnY0ZjOEpLifdH0F1OIoMJdLeTZAZcxUWYSsMR8CJVC9FydHeFAOg4JeQnnJTJjI23r2bLFtGXbNgwOYW8UoqXXhJdzdy5s3llq7QqQr22x4MpZCunVEkORzE0RSoUw+3SUKZFSbm0hcoaSwAonVaHGYvhrCgnfcjOWllzMwnbktuz+j40TcMaPknm1e8C4L7v/05IKAD0WmlZWb0Hx33PsknF6ZWK9Elx8nTWNIwhi/HDR0EpnOXlOMsmdsdUpplP6627s3D1UlY6w8CWd4D/zB55716z5X5n41e6UpF7kZcsmFWw7pOZkQghWxVeyFHO4QPHiBw8juZ0UHP7ujPeL3bQLnnPHOvClz7ZDowlFVbYbm0YDrS39On1MimlWwNHz/hY1sBxsjtsC+47/z80XSe9/xWs/k40rx/HtOUk//VfQdOIdYvI0Kiuh5PtGJWVMDKCUVwMI1FSWSn1DtheFcOhJA6XQSyaoKwmyP6eE3j9bl7fthOADbes4N+++m8ArFk7OeHt/n2HGBgYwuv10NsVQinFvHkzOLy7ExR0HexDByL9UVw6ZFNZSovdkExSWuEjMzSCx6XIAA4zKf8lSRooWTiD7OtPogdLcLgV8ZOHwOXFc93dAKQe/yvIJjGmrMJoW3vGNeolYrOtIr3jr3euVVUyalKW7rTJYkPLmPvGDwgpeevr4HQMbdtD8lQfjmBRYYuXN2+TSmRlGcXzC1eHMLxtNwCliwpXaHo6iv50J0XB4LnveAaY4TD8S+FWz86EwtxJLxHygTZzztyTvdoxsHUHyrQomtqIt/7MY3VXO07ZJ8rKdctxlZz5jRo/JETQN23sc5axScXpfXcrLFUIPVg+rn+rV8v4o9V/FGWNHyu1BttJfOuDttHVDRhN4mSZfFHEie4VdxB9RUY3XdPmEN4lxC58SshFxM7WGLanPkaGEuiGTipj4SsrwlLgr7TtsJtKQINpcxsZHApRVlaM0jKYpklTcwNNTWPzLs6Ep20r75XXLeXpp0TnMaNNrtOUlnrSyQyV9mPmR0h9DkBhRmMYmkVmaASHAzIDQ+gOjXSnXSmwc0j8q28i+dz3AfBcfy+6v4Ts0S2Yex4FTcd111+ftVeuFUkVQsUGx9yulJqwVZWxSYXzNO8RgJjdBvOdxUlz0G6nVa1bUdAjmLn3RiGPvJvJFCH787ZseeEKTU+H5vJd9Nc7Eb+ypCJ6vDOfglm2rHBf5AO5COQ1hRuBbCaS9OTyDM4yZpYZGiIzMAiaNkbxr5TKTwi46lvyt+fL6af16HPQSpvA6YFsCjXYPnY9PftJfPUe1NAJtNIm3Pf8nfy+yDCpHeJu6Vn1LsJPSBWDkjqwLDxTp5LoHkJzOogNJzE8LhIJE2eRh6zScJVJ5odlt6iGR4RwDEak5WF4pce68c41vLxVRJZr1kzeV+EH35f13HrrjXmRpkrKW7y0SEhESbFoVVQqjY4iORTFaYCVzuIPSnZGWZPoTYqby0ApAgvmkNwtrzPv3Hmkd70Amob3po+gzAzpX/wFAM6VH8WoObt1tFYk1uAq+hZSEQ+DbQt+eqsq55Kas13PITaJSsXgy6JxKWTXxkR3P0N28FYhJ6uG3jyAymRxV5XjbXznnc6vYRS/sqTixH//DCxF5bplBGedfSTtaoWVNfMe+hVn0SFc7ejfvA0zlsBTV0XpkjOXRnPuiZ7GBozThItmaAgrHgVdx1k36mWQIxVacHzPXdN19Co55aa3fC2fO6HiwyS/8zFUtB+9djbeTz2CXibTJMmXfgbZDI6m2aRO9WIODWCUlBM+KqOgWrFsmI6KShQajvIyQMN0uQGN0LA8Rp9dzRgaiuLyODl4UKoBHfYo6boNy3jxRYmvX71mcg6Q+/cd4s039+J0OqmprCOVStPcWs+ebcdAwVCnEJdwz2kjpF7pfpZVyonJ59UAhWGP2RqmeG0UNZSh0imcdY2Y+0T34lqwHkd1M+mn/6/oI3yluG76o3Ouc3TqJjTm9lzrQ/MF0VwyhaIsa7T9cVpbKzM0TLqnV1w8p09MKuId3cQ7utEMo6BPxid//DgoRenSuQVdiex/cfQAV+hTH9dwdvxKkor08Ai9z8qHdstH77vCq7lwRA8dx4wlcASKCM48e+zz1Yw++7moufn6s2pb4kdE//BWX4LMKfFgcFTWoDlHkypVTDZS3V864e8zpknvP/va94j93UKSD/0RyR/+Nmq4E62sGe8nfoIekFOzFY8Qf+IbAHhv+CDhp34u/16xnsSxdjAMhg9Jzkh0RFwzc1kfw73SOojFMriL3GSsURfNurYKLKWYNruRAweFNC1aOovXX5NT9vr1kxNpPvjgowDcfPM6Xn1ZTrbLlyxgqD9MwOsjHk5SHPCQTWcpLpFNu6TEAyhIJtE1i2wogsNQZIaGcbh1sv19YBioU7YV9nWrSb3yC3kObv8kZscbZF78DwA89/7D6ETN2ZBLhTXTY242c0myZTX527I9XahkAs3pGmPRHd0nrSZvSzPGGaaE+mwTtdKlc884SXS1IxOOcvJnMrbb9MG7r/BqLhxWOkPv02LiVn3L6iu8mmu43PiVJBWnfvEcKpMlOHtqQSuRc1kfJQtnFezUxxgL5XOI6WJ7ZcTS95bTaaZbSMVbbZytHKkoGmv7nINr3Wdwrv9dtOI6SIbJvv4DzCObweHB86H/HLNJJp76Jio2glEzBa1xHsm9O0A3yCAblnfaNJK9w+heT37qIxZJ4/C5yVga3grJ/HAGpSpgGXJaS9l22E0zhLzMmNXKgQMHyWaztLQ20do61vDpTHjwp0Iq3nXfHTz7lJA0jyFra7RdNKurS2StLh0NRToUxakrzGQav19mQkps46viFhFLBme3kT52EBwOHFpE8k3mXI9zynyxLVcKx6J345h356TWiZFzMs2OuTnnfHq6nXrKjrF3NrWiGaOa8pyjatFp5mdvRd6ZtYCzPoa37cFKpvA11Rb0qHj/lm1kwzHcVeWULZ17pZdzDZcZv3KkQpkmXQ8J+68vYKMopRS9T0sqZiHb9g6+tF0slBtqzmqhrCwrn/nhnzt2M8lVKt4aOJWrVGi+iYWfmieAe+Pn8P3Ja3h+86c4lr4frbwV93u+hFE3+uFnjQwQf1rGJYvu+z0iz8gG7lu6itArMupnatKOcdXVAhpOu/WhB8T4Km7PpOcCxE52Smvm8FHRgqSRVsP1a5fw/PPyvK5fP3Hs+1uxf98h9u8/hMvlYlpbGz3dA3i9bg7ukOui4vLYiaEYOpAIxfE4NJSlKCmXdRf5RbBp2E6Xekr+6/GLvXfRsjWkd4qexLvmfqzQScx9TwLgXDs2SOysMHKVirH26KPBb6OkIifSdL1FpBndK8mkb30d5JDsGyS87whoGpVrC7ctOLwzl/Uxv6BbBt2/kJZZzW1rC/bwcw2Tx68cqQjvP0aypx+jyEv1TZP70L4aEdq5n8jB4+huFzW3Fu4oaf9mERRWbVhx1g/OZOdJzGgUzT02mRQg0zNxNoRKSNtB8549tEjTdRxTVuG5/4sU/dFLOOePLTUnnv8hpBM4WubinLuW6AviCuiev5JkRyea08nQAVlD2Da+Ghm0RZg9sjkPD8bRHTrxRBZ/WRGpjElpdYBYPEl1XRm77NP36rWL+eVTmwAJBJsMHn1UvDJuuHE1216V6tWSJfM5fugULoeDoe4wbodBMpoiEJBNvbTcByj0rAg2s8MjOA0LMxbHFXCR6e9Dcxpkj8nv882cijXUg+YL4lqwnswLX5bJmKmrMWrOZ8zRfo6VhVIqf2uu/WGUjrY/JvIesZLJvJPmW7Nfcuh9SkrtJQtm4i6fREvmKsWQrZc6m87oakd4/1ERzGpaQTuaXsPk8StHKvKK8BULCnrM7ORP5ZRYc+saXKUTl/evdijTzH9wlp/DKTC231b7T2sbY4IE0nsHcFaPHb1U9jSB5p6cG+WEa0wn85bcvlt/g8SOV7CiYYzScmJdUm3wTJlKNprAWRIkfCqEZuhER9I4vC5SKQtPiQ9TQVGlVEx8ti12UZUPNFi6ZhZHDneg6zoNzVXs338IwzC4+ZYz+3WcjieflJPg7bffxKZnxfyq3C+i0elTpX1SW1cCQHHQjYyQxqX1kUhT5JfTY3GlbdfdJNMyxdPqUMkEzoYWrJPiMeBeeScqPkTm9R8A4Nzwe+d3QXMBboZzDIk0B4SU6RWjxDCf5dI0SiKj+/ZLMmllBa7a8VMESilOPZY7GU/u+l2NiJ/sOadlfSHg6Fd/CMjnVCE7ml7D5PErSCpkdr2Qx8ySfYP5nnHDu2+7wqu5cIT3HyUzEsHh91E898yjgQCxA6KnKJo11pdAKUXGJhWOmjOQCteFk4rky4+goiH0inpci24ksukJWcfqmxl8UtoBWbv14ayXuHNXZTkKDWdpMaBhOSVALBKRKkZfr7RlBkIhALwlQpIWLJ7J1q3yvK66fhmlpSXnXN/wcIhXXpZqz9q1q3jVdtHsPSG/26NJZcJKZNGA+KAYX1lZi0BQSLU/4AQUeioGKKwhmcRwatKS8V+/jvRO8Urwrnk3mRe/DGYavWUFxpTzrPaZo6TidFgDInI1KuQ5tNKpfDqpq+U0UvGmkJvA/ImnCML7jhBv70J3u6i+sXBjznNBh8ULZhas0DTZOyCHBl1jyifee6WXcw1vE36lSEU6FCa8X+bey1cuvLKLuQicevhZsVReNIvAtOZz/8BVipz1cNmKBec09YmfwZ7bCockSEzTcFTVjPmeSsumqLkurCKllCLxjGgpvDd+GCsez4eHEawhGwrhKC1laL/oIsK2HXY0ageH2dMf/d25FkgCh8tBf38Ep9vBic4eNE2jq1c21HUblvHYY0JUbrvtxkmt8dlnNmOaJrNmTefUyQHS6Qz1tdUc3d+Frml0H5UAscRIAp/HQClFaZkXUDg1c7T1oVtYySTugBszPILD7yXbJe0Hh5EAM4ujZS56wE/mNTG/ct34B+ff68+RCn2UVKhMGiskDps5UpE5eQIsE90fxCityN83kiMVCyY+veet3tctL9jNGGBgixDFilWFe/gZ2Wu3qdqaC3oc9hrOD79SpCK85zAoha+lHnflxHkBhYC+50TdX3f3mY2irnZYWTMfSX0uhb6VTpM43g6MTSYFyPTZUwOl5ehvJQ+mPWHgcHEhyBzahtl9DNxePKvvI/bSs5DN4mppI2QH0fnmzMWMp3CVlxDqHEAzDEYG4uhOg1g0javITdq08FcGsICyBunx10+vAg1mLWzhpc1CrhYvm80mW6R5552TSyV97jkxDbv5lnU88jPJgJlqtwtmTGsmmzYpK5PNtczWUWipNA5NYSZS+HxCCoqr5D7+Sqm6BNtqQSnc0+eSfk3GSD3r3kv6ib+GbBK9dSXG1PGaj9N1EhMhl8x4evXIHOwCpcDlRQvI+zLdLhuSq2VqnriYiQSxXOz9wvGkIhuL503U6u4u3KyPVP8QQ7aldeXa5Vd4NReO0HbRCRXPO7Pr6TW88/ArRSpyWR/nKrVfzYid6CJ2/CSaYRR0uNDgS2+Q6h/CWRqkat3ZPzgTx9tR2SxGMIiramwwWNYmFY7TEizzsOwUQO38X+bKMon99J8B8Ky4E83lZeTRHwHgW7GekdflJJlMavbjVwMa3voqFBqeylJAw1ki0x/K1oEkMnJStzsmtM6sZXAwRCBYRN9AN9lsltmzZzB9xuQM2Z57TkSJq1ev4NGfyyldy8hjBT1CFHwuJxqQHI7h1MBMZymyR0hllFShp2NoKKxBu2KQlNwUX1s91lA3WqAMZ10d2V2PgKbjvvOvxlUpzAM/JvP1VrIvfO7MC7aNtXCPVhHMPplSMSob878z1S7jpK7m0ZHv6O69qGwWV3UV7rrx/fn+F7dhxpP4muspXVK4o4s9T24GS1E8f0ZB6xByI+9lBfxcXMP541eGVCil8u6ThZz10f+CCPFKl87FGSjc8u7Jn8nEQt2dG9BdzrPeN35INpii6W3jNrJsn0wNON/S+gBACam4kLC4xHM/JHt8N5rXj+/uTxN/fQuZU53oRQHSWQ9YFr6ZMxh6Q07OIdvgKp6Sk3okLOZOA/btPV2io+g43g/A8RPS8sgguo+165fxij2euvHW9ZNa47FjJ2g/3oHD4SAVV0TCMerqqjm85yQo6DkygA7EBmO4DLBMi5JSMbzyOEHXLMxwBJdhYSWSeAIOVDaLt7GabHcHOAzUKTkxe9e/n+w2aXs4Fr97zMitMjNkt/5/mE98DOJ9WNv/FXPvdyZcs7JHVTV3IH+b1W+TiqpRT460TSrcLaPv1XyV4gx6ipxeqnL98oIdwVRK0f34JgBqb19/RddyMUgNhogdk+e1kKdXrkZ8+ctfprW1FY/Hw5IlS9i8efMZ77tlyxauv/56ysvL8Xq9zJw5k3/5l3+5rOv7lSEVgy/vJLL/KLrbRcX1i6/0ci4YA/YIZuU5TvdXM5K9Awy9IgSv/t6bz3n/nD33W0PE4LRKReV4UqFUrlJxfhuMFQ0Rf1gSQovufwCjpIqRX8gESPC2+xjaJG9iz/RZZKNxHMUBwl3D6E6DgRPDoEFoII7hNIjG0rj9HtIZi0Cln6ylaJheTW/fMC63k70HZarlhltWsu31nQAsXz651+dTT0q7Y/mKxTzxC1nT8iWLyKSz1NdWkoylKS+TcdryiiJA4bBMDA3MeBKv3S0qrpH7eEukTeSvsadUZs3E7NgHDheeFRvJ7nkMAOeKj41eq6OPkfnuUqxX/wEArVbEkeamP0FlE+PWrJL2mK97dMzX7BdNilElPiNKqTypcLWMViryE0AThIhZWZNB+zVVyCLskTcPEDt+Et3tpPqmwk1WHXpNngv/tGacxYFz3PsaJosf/ehH/P7v/z5/9md/xo4dO1izZg233XYbHR0dE96/qKiIz3zmM7z44ovs37+fP//zP+fP//zP+frXv37Z1vgrQyo6fiB94Yb7bsFTNT5gqhCQjSXE1IfCFpr2PiOakJJFsyYl4IofFXHtW+25AbIDUq6fiFRo9oSBymbGfe+sj/fUt1CJKEbjDDxr30Oq/QjJ/bvAMHDNWU7i2HE0h4PYgJTynTU1gEZRSz0KDV91qf3fEkDDVyEfqq6A2GOXNcimPXfJFHZuFyOn1esWsXevbJpLl517U1RK8Y3//B4Ad9+1keeelmvqVMIUqopLACgJSp8lG0vi1CCbSFPkE1FsbupDi0Wk9TE8ACisbntDt/cC9/LbMQ8+CdkUet089IYFAFiHHiL7yHtg+DB4KzFu/S8c73sGAo2QDqOOPzV+3YlhgDFupWaPZJ8Y1SI6Ngd6saJhud52kJiyLGL7bNOrCfwpQm/uJxuO4iwOFHR788R3Hwag5ta1BS00zXmFFLIm5FxQqfhFf50vvvjFL/Lxj3+cT3ziE8yaNYsvfelLNDY28pWvfGXC+y9atIgPfOADzJkzh5aWFj784Q+zcePGs1Y3LhaOc9+l8BE53M7wtt1ohk7De2+/0su5YIzsOoAyLTy1lXjrqs79A1cp+p4VMWL1jefOtVCmmRdpeqe0jvt+dkDGHx0VE1yPXA5INj3+e2eANTJA4lkp8xfd81k0XSf81M/k/5evJbzDnj5YtJCuLVJuj4RkVDSRkYpI2hSuHo0JmRmyyUdfn7RAhqPSAiipFsvuBYtm0tffTzabpaqqgoaGc/fRX3rpNfbuPYjP56W+tpFEIkVDUy17Xj8OCoZPRtCAcG8Epw5mxqS42AXJJD6PhhW3sCJJXA4LK5XCV+KCTAx/UyXWyDGMklKsE5Ih4l55J5lf/K5c0lW/gaZpqGyS7OY/BUCf8xGMdf8XzS1kSZ/xHqxtX8Q88GP0afeOWbeKiVaD00hFtrcdAKNKSEXqmGifXE1T8lkuyRMdmLEYuscz4eugf5O0BSvWLC3YePBEVy8DL70Bmkbzh+650su5YKQGQwy9Lq+dmo2Fa8x3Lgz+4XrSrgt/rUXSJgDhcHjM7W63G7d7/MRaOp3mjTfe4HOfG6tZuuWWW9i6deukHnPHjh1s3bqVv/mbv7nAVZ8bvxKVio4fiq1y5YaVeGsrr/BqLhzDb4jwqZBtuRNdvYT3HQVdo3LDuXMZUl2nUKkUusczoTgvawsLHRXjKx6aQ96YKjN5UhF/4hvintk6D9eC9ViJWN5BM7DxXoaefwEAvbIWM5HCXVNJqH0ATdfpPSwEp69LPiQGeiLohs7wYByHy8HQUAy318m+fTKqGU4IyVh/43Le2Cbl4sVLJmfJ/PWviWbhfe+/l03PSgLk9dctYaA3hN/jJRFNUVLsxTItSktlhNStKwxNqhYeW8YStG26vcVyg9snLSP/vJmoRAS9tAbdHEKFusBXimO+bHbWji9DuAP8dRgb/iVPKEBIBYA6/gQqNfYDk3iuUiFTHiqbxhoQnxGjpgWA1DGp2LhaRysOOYv2olkzxlk9K6Xof1FIRSG3BXMbccnCmQUt0Ox7ZivKtAjOnlrQf8fbhcbGRoqLi/NfX/jCFya838DAAKZpUl099rOuurqanp6esz5GQ0MDbrebpUuX8ju/8zt84hOfuGTrfyve8ZUKM5nKp2A2vX+SoUdXIaxMhp6nXgTE16FQkReaLpqNu7zknPfPtT68rc3jNhMrmcCyT/0Tkgp7xHSyZUYrGiLx4k8AKLr3s2iaRuSl58RVsr4J5S0hdbILzeVi5JgQCFdjIxw/SFFzLX37B/HVlDLQHsVfU0L/iTBlDWX0HxqgvKmM7n1xmmfX0rG9j7KKIHtt742V1y/kB/8jkyWLF5/bPTEcjvDwz8VR9Td+44N86D45ufgM0Sk01FQz3D5CRXmA0MkQWjaLQ4NsPE3Aq4OCQNCJiqbQYmHQLMzBfnTNwrJbEbo5jAW4l92aTyJ1LvsQmtOD1fcm5st/DYCx6n+jOX1jr3vlfCieAiPHUN2vorWM6mZUzI6jLxJSYfZ1grLQ3D70YiH8qaNCKtxTTiMVZwkRG9l9iFTvIIbXTdmywo05H3pdqmAli84clHa1w8qadP5EDOJqNq69wqu5vCj/500EgxPnCk0GrnAYvltLZ2fnmN8zUZXidLz10KGUOudBZPPmzUSjUV555RU+97nP0dbWxgc+8IELXvvZ8I4nFcPb9mCl0nhqKgjOKdxE0r5nXyHVP4yrvISqAk5eHLCdAivWLJvU/RPtsslN2PoYkkkKzeNF943vP+ciz3PBYudC7Of/CukkjqZZOGeLU2R0k2zegQ13MPzcJvn3wgV0vCCbXGRIpjfSmv1W8niBKKY9Qpo2ZRoki/zXsC2xF6+ewQ9//iCaprF0+Vwe+MPPA7BsEnqKxx59mlQqxfTpU8mkYCQUoay0mJ1bj4CCTFjaLpHeiJCJZIaSIgdk0/h8BiqmsKIx3IaJMk38VUUQi1PUWALhKN4588geknKqs6GWzI6d4PTgXP1JVCpM9rGPgJlCa70NffaHxq1P0zS0sumokWOo8FgBmRW1n7OAEAizW0ijUdsqbRWlSB+VKQ/31FGjs7yT5rzx44k9T0j1qHL9ioK13reyZr5SUb6ycIWmvU9tJnGyB2dJgNq73tlZH5rbh+b2nfuOZ/x58dEJBoOTIicVFRUYhjGuKtHX1zeuevFWtLbK5+e8efPo7e3l//yf/3PZSMU7vv3Rn3OmW72koMfMOn5oC03ffes5RzCvVmRjCUJ28uJknQKTOT1FS8u475lDAwA4yiduaWkBIRVWeOCcj5N48SckN/0INI2i+34PTdPI9J4iuW8naBq+lesZeELGYLXyGrAU/umtDO6TTbPvqDxGX4eU93s75b9d7aIhOGGPknZ2Sbumok5UkDNnT0FhcfCgiCOXLD13FSoXc37/u+/kmadk81+6dAEn2/so8nqIDsXxe1yYGZNSe4TU69Jl6iOWxOMSghMokw3Y7ZKWh0sXguSpKgLLxDF1IeZ20Zc4V34Mragc85nPQOgIBBpwbPw62hk8QLSgjIeqyFhSocJS4dED8iGY7ZFWkFErIlxzsA9zZFhEmq0y7ZPq7SXd1weGMa5SYaUz9D4r16Dm1sI9GYf3HSEbjuEIFlFcoIcfZZoc/9ZPAWj+0D04fBduj38N4+FyuViyZAlPP/30mNuffvppVq2avF2+UopUKnWpl5fHO5pUKKUYfElm/ytWF24E8umJpA33Tc5p8WrE8LbdqKyJt6EGX9MEZlUTIC/SbG0Z973soGzURtnEpMKolBHF3HTBmZBp30P0+yJc8t3zWVxzRVwWefoReex5S4jsOYAZieCqqiJ0SDwmXA31KEvhq68kkzLxVgRJxjN4in2k0hb+Cj9ZU1HeUEoikSZYXsTRI13SVrG1BstXzmf79t0opWhuaaSqqmKCFY4iHI7wy19uAuD+++/k6SdE9OpBKjXTpshmXlkppMWpYbc+UvkR0kDQhYaCeFS8KoYH0Z1ghQbA4cDqErdQ98zZWF1vgtOLc+2nUUcfwTr0U9AdOG7/Lpr3zFNUWsD2nAh3jrldRYVUaP63VCpq5CSVOiITHq6mqXmH1FyVomh6G4bXM+b3DWzdTjYcw11ZStnSwjVZygUdli1fULDx4NFjJ0mc7MXweWh498YrvZx3JB544AG+8Y1v8M1vfpP9+/fzB3/wB3R0dPDbv/3bAHz+85/n137t1/L3/4//+A9+8YtfcPjwYQ4fPsy3vvUt/umf/okPf/jDl22N7+j2R+JkD6n+YXSXs6D7lD1PipaiZuOagp75zukpJjsOayWTpLql1OdpGZ9xYg5Lf95ROvHm5mgWQWv60DZUMobmGd8iUZZJ9Lt/BWYW1+Kb8N3xSfndsQgjTzwIQPC2+zn5P1IpKtmwnkPffByAEdvYSvn8QARXeTGcTOAuC0BfElexD7qi+Cv9cKyX6inlHB46KaOkO2XzXH7dPF61Ta+WLT33dXn6ly+QTqdpa2vFXxTg0MF2HIbBoV0SvmXFRFGeGIpjaJCKJgm4dcCkyOdAxTNY0ShuwwTLoqjSC/E4wcYyGAzjm96K1fM6mtePFpWUUOeyD6IVlZN97Z8A0Jf8PnrdOVpwPiENynbmlH9HIGX7VARlBNg8JRUaR51UKpKHpJLlbhttfUR2SlvAP3+8XqLr53Jqq9m4tmA3Y6UUvc9ItaXiHGm9VzNG3pS2VXD2tHHk7xouDd73vvcxODjIX/3VX9Hd3c3cuXN5/PHHaW6Wz8fu7u4xnhWWZfH5z3+e48eP43A4mDp1Kn//93/Pb/3Wb122NV7WSsWLL77IXXfdRV1dHZqm8fOf//xyPtw4jOyR/IDAjFYM94XlP1xpWFkzvxlX33zuEcyrFZmRSL5MXX3L6kn9TLLzJCiFoziIc4LETnNENiyjuHTc9wAczbPF+yCdILXjuYkf48Wfkj2xF83rJ/Chv8i3yMKPP4hKxHE2TcGon0J01x7QdSzbvCEwYwp9O2TT7e8IATDULRvm0KAIQwftQLGhkPw3a8iGv3T1LHbvFJHmilULePVVIRUrrzv3hvKkbXh1+x038cSjQjbnzZ3NYO8IAb+X3vYhPIaOmTEpKZEPdn+RA0NTmPG3tj4UDpUAFEZadCdOQ9bqWXEr5kF5LMfSD6C6tqB63wDDjbH4M+dcZz4wzMrmb7JGpMKDtwTNXYSyTLKn5Bo66u1WxyGZcPJMl6qDUorwjp0ABBcvHPMQia7evIla3b2Fm4MT3neERGc3usdN5brJaY2uRgzvyE2nFe4BrhDw6U9/mvb2dlKpFG+88QZr1462/b797W+zadOm/P9/9rOfZc+ePcRiMUZGRti+fTuf+tSn0C/AZXiyuKykIhaLsWDBAv793//9cj7MGRHeKx/chWzLHdqxj0wogrM4UNDVllOPbsJKZfBPb6F43uTMiRInhHF7mpsm/L4ZEt2CUTJxpULTNNwrZeIn+covxv/84CliD30JgKJ7fxe9WFoPViLOyKM/BqD0/l9j8GnZXINLFjG4TT44HdXVKNPC31RDYiSB0+9huC+C4XIw1B/FcBoMDcRwuBwcPyQ6ihOd4v4ZKPdgmiZ19VXU1VflKxUrrzt7i86yrLyL5sZbb+AH/y3aippSOfXPaJPTSmWliL7cBhiaIhtL4bb3+EDAkW99OAwTlYjjCrixIsPoPhdW1z7QNJyVAYk3r5uLUTsbc9sXAfGk0HyT8EjJk4pR4zEVktFRvVhaX2Zfh3iIuDzoFQ2obDbf/nDPEFKR6jpFpq8fzenAP3fsKHXfplHLel/DBDbtBYKeJ8WIqHLtsoLVISilCO2QKlNJAY+8X8PF47KSittuu42/+Zu/4b777pvU/VOpFOFweMzXhcLKZOh/Qeb3Czklr2/Tq4DM3xeqqY9Sii4766Ph/lsnLZhNttukoukMpCJXqSiZuFIB4Fl+BwCZfS+TPvh6/vb0vpcZ/tv3o+Jhcc5c/7789yLPPYYVGcFRU49v5TqGfvksAMVrVuc/OHOtD6NcHruorgLQKG6S/5Y2CdGpaatEKUV9WyXdpwYxDJ3BEWnbrFi1gCOHjzM0FMLjcTN//tlJ4/btu+jrGyAQ8FPk8XPoYDtej5uuo/L7zIgILs14WlofkSRet7zFA36HjIzG4ridlmSXlIpmwV9fDICvSVoWrjmrxUETcCx5H1bPG7Y7poax5PfOusYcNMPurJqnkwpp0WglNqnoslsftVPRdJ30iaOodAq9KICzTvQwke2iNSiaPRvdM7aknsv6KGS9lJlK0/u0uE8WstA01n6S9NAIuttJ8ezCFJpew6XBVSXU/MIXvjDGBKSxsfGCf1f34y+S6h/CVVFa0Fkfw/aYWSEnkob3HSFxsgfd46b65smrlBPHZTLA2zpeTwFghqVkbwRLzvg7jOpm3MtvA2UR/vfPiCjzp19k5F9+ExUexKidQvA3/zG/CSqlCD8pDprFd72f+IFDpPv60H1eMhkDZVoUTWmkf3c7AEPd4pMRi0qZP2lX+7PKJk62415li/gyzF7UyuuvifBw5aoFvPiieKgsX7EYl+vsLbrvfkc8NG68cQ0PPygVi7VrV9DdOYDX5eLUkX7chk4mmSVop5AGi1zoudaHQ1of/hIXoDBMaX0w1AUo9KRUVFzTZ2F17wOnB8eCezE3/SEA+sz3o5VMLj0VS1o96KOyLWvI9sAok+cz2yXtSUeDVK5Sh209xbRZ+RC4kdelihNcMnZaKBOO5gleIb+/e57cTCYUwV1dTtnyc3uUXK3oe+4VAEoXzy3Y6bRruDS4qkjF5z//eUZGRvJfnZ2d5/6hCWBlTU58VzaG5g/eVbCz68m+QeId3aBrBd2n7H1aJhQq1yw9r/Ju/JhNKqZMmfD7VlQqWbr/7DPegV//W5zTl6ESUUJ/+34ST/4XKIVn3fso/Yuf4KgbPVkl9+0k03UCzeMlsG4jQ8+LbqHk+lV5MZ2zrg5lWgSm1DHUPoBm6PQcl2pB1zEZLc2Nkp48If+f0YRtLLpuBm+8JtMV161exKbn5dqsW3d2stXT08e3vyWhZp/45Ed4+EGpntSUi2Ph1FYh4LV1UjnxuAwMTZGJJkbJhN9ufcQi0vpIp/GUuFCpJK7KElR4QObuB4X0OBbej2p/AtX9Gjj9GGv++qxrPB35MDHHaHXBGmwHQCuXSY/sSTG5Mmw9RTLX+miTbA8rnSayfScAxcvHViMGt+4Qgje1EV9jYbo2KsvKZxI1ve+Ogq1EgrhoAlTfNPlDwzW8M3FVkQq32503ApmsIchE6HvuZRIne3EE/QUt4Bp+Qzaf4MwpBRsupEwzvxlPVqAJkI1EyPTJyKh3SsuE9zEjUqnQA2d/nWhON8HP/BtG4wxQCs0XJPipfyHwkb9Ec40tqYef+jkA/jW3oLk9DL8g/W7/wkUMb9sDmkZ0REr67lrRFgSbqlAKihvLyWYsgtVBkokM/rIi+nvDuDxOjh0XPUFJpY9kMk15RQnTZjTnKxXr1p/9w/jf/t9/kkqlWLFiMSprMDgYoqKylPb9Mh2jYtL6sBIZDA3S0SRel7y9/QEnhmahEgncThOUwmfbc/uKpZLgqS0BwDX/OswDYkvuWPoezC1/DoCx4nNo/smNAQOQJxWjJFLZpEK3SYV5UjRPjkZpT6beQipie/djJZM4ykrxto2tkORtuQs4sCq89zDxE10YPi9199x4pZdzwYge7SB2/CSa00HF2sIVml7DpcFVRSouFU7+VPrBje+7vWCFTzBq21u6uHDn70O7D5EeGMYRKKJ85eTtxXP+FK6qKhx+/7jvKzOLSsiUhXGOSgWA7gtQ8offxP+BP6X0fz+Ie8l4vw8zMkLslU0ABDfeS+TNXWRDIYxgkEiXVB5KFs7KT32E+mVSwnRI28IIiLteUZWsp6yhBICZy1poP9qNpmkMhuX3rFq9iAP7D9PfP4jX62HZsoVnvhaJBP9pJ5L+8Z98Jl+luHnjGvbtPI4Dg4HOEC5DJxFO4vPIiTfgl9aHFU/izlUrgpJMamRi6LqFCvWCBgxJVcjhS4Nlordeh9a7BeJ9UDoNfTITH6fDJhWaTSqUZWENymPo5c2oZAyzXyqRjvppWIk4mZPtwOg4aWS3kOrAwgVjdDhmIpn3dags4E1saJv8fWXL5+MounBnxiuNU4/I67F8xQKcgcI8/FzDpcM7jlSkBkOM7JYTUN1dN1zh1Vw40kMj9NkjmOUFrKcY3GKbj61ajO6cfK81adtze86gp7ASo3keundyH2S6vwTvjR/CKJ/4xB157nHIZnFNmYF7ynQGnxQPhNI11+dbOO6WZqxMlqKGSnr2yKbYa7c6+rqkcjISEmfKlCnVg9J6IRnT5zbx6ss7AVizfilbtogI97pVy87q9//Iw08RDkdoam7gppvX8Uvb8KoqKMLKZnvyocEWh/p9TnQU2WhilEzYQk3iUZwOaX147SqFb1oTKh5GL63AOiIbhHP1JzF3/xcAxtIH0IzzG8lWyZD8wy0iUBXpgUwSdAdaaaPoKZRCL65AD5ZLiJhlYZRX4bDNzKK7bGvu+WNJdf/mbZiJFN6GagIzJ26NFQKGXpVx2ELOK0kNhuj6+TMANLzntiu8mmu4GnBZSUU0GmXnzp3s3LkTgOPHj7Nz584x5hyXGgObt4FSBGdPxVN1Zse/qx2dP30CK5UhOLuNkgUzz/0DVykGtopCv/w8xXS5cVJv88SkIlelwOFEOw+yciaYsQihh74LSJUiMzSUb3345i8g3t6F7nISGZQTuLexFmVBsLmKRCSFO+BluC+Cw+XgpG3Z3X5UhI8xO9BswYppbLP1FGs3LGP/fiG/ixedfVP53vdEoPmhD93PKy/tZCQUoaKylDdfloqJB9nwzWgaPdf6cMrJPhBwotutD49DxJNFFT5A4fIK4XC6JMXV3doI6Rh6zSx0nwEjx8EVRJ/x7vxaVDqECu1B9WzCOvFTrCPfRMVPjV90SsZ98dhW6QPinKmVNqEZTrKdtp6iwW592KZXnmmiHbIyGaL7xEzJ/5a8j56n5HmpvmV1wVrvZ2Px/OFnsmZwVyM6f/goVipNcHZbQQtNr+HS4bI6am7bto0NG0ZDZR544AEAPvrRj/Ltb3/7sjxmziiqcl3hhm6ZiWS+hdP84XsK9oMzcaqP2LFO0DXKzzNZNT9OegaPCispm7vuuTTtrdBD38OKjOBsaCFww+10f/9HqGyWotmzGDkoFYny6xZxdKtsftGwbMSu8mJgmGBjBQx0UTm1it6dp6hqKWfvoW58AQ8HD8rfUlTqIpPJ0thcS8uUeg4flnZA2/Qzn7a7urp59hnZRD/8kffw1f8n/hmrr1/GSz8/gMvhYKAzhFPXiY8kCPgcYGYJBlxY8QRWPInPKeTB53dAMgXxMLpuQSyC5tSxumVz01KnUIBj+Yex7CqFPvuDaE6pBKneF7GeuwtUdswaVfU6jBsfH7vwpB1xbpMKNWC3Pirkb82JNHN6iuRh8f9w26QifugIKpXCURwc8xpIh8J5w6uajWvOeN2udgxv24MyTbyNtXjrzx4GdbXCTCQ5+ZDob1p/490F+zl1DZcWl7VSsX79epRS474uF6GwslmGt8uHU8Wawp1d79v0GtlwDG99dUE77A3a5d3ieTPO2148YVezvC1nIhXSYrgUpMKMjBB+XIKQyj7yKUBj4HEhdZX33EnvsyKm9E5tJR2O4Sou4tRuIRpDvaKrSKSlCqDZLlPBWin7z1zawpH94s8wEgsBsHqdhNsdPdoOwNSpLWdc289/9jiWZXHdqmW0tjbx5GNCMLy66ExmTRfRY11diTxuwCWtj1hyfOsjGcflMsHM4quwhZrNFaAsnFNnovoOSK5H0zzUUZlK0Od9HACViWK98qlRQhGcCUX2uvu2oMzkmHWrhEzD4JFRWqtfqip5UtE5SiqUUvlKhXu6kIrIm7Y197y5YzarnideRJkmgZlTKGquP+N1u9rRd56W9VcjRvYexowncVeVn3cl8hreuXhHZX9ED7VjpdI4gn6KWhuu9HIuGLnxrJpbCzfPAEZHSc/3g9OMxcgOyUnX03CG5zErlQLNefH26+EnHpSxytZp+JZeT+SN7WT6BzACfhw1DSRP9aG7XURs++1AWxNdLx3HX1NK+9E+0HS6jkjL49QJWXc8JRMiwWo76Gt2I0eOiE5k4aKZmKZJZ4dMhLScgTgBPPKInATf9a7b2bn9AH29g/j9Pva+3g6Ay5K3sBnPoAPJUByf/a4O+J1oyQwqkcZrJ5H6SlwQS+Ay0qjTvCmcVQFUGIyZN2Ht/QYoC631VvQKcUdUO/8SYu3ga0S/4zU0ZxClFNZDzZAahJH9UHaal0TcDg6z3TetAZtUVE4Ve+48qZiFOdCLOdQPupGf/IjsEEIaWDRa4VJK5bM+6u4p3KkuM5mi33YDrb7xuiu8mgtHaIdM65QsnPkrWaWwkgmsi/DkyFVb32l4R5GKXI+yeO60gn2RZ0YiDL66Eyjsme/okROEtu9FM3Rqb193Xj+b7JSTvaO0FOMMo7Qqa5+YHRf3EraSCUYekypFybs+jKZp+Yjzshs3MGALTctXLuT4s6IPydgW1IGWGmiPUtZSSf+BAQKVAdpPhnG6HRw7IDqDSFKIyLK1c/jBQ/I48xbOoKurh2w2i9PppK5u4vL34OAwWzaLmPPOu27h6/8m2oplSxeyZ9NJfEUeTh7qw6lppKIpgkUOyErrQyWSWInTWx8GWtKCWBTDYaHiMRxFOsSH0QJl0CN/m2P2BqwtvwOAsfx/ybXu2YQ6/DUA9JVfRnOK8FTTNCiZC70voIZ3oZ1GKpRNKsiRin5xz9Qr2zB7T0A6AS4vRk0Lsa3PA+BqbUN3e7DSaaJ7pOIYWLQw/ztHdh0kfuIUhs9DzXmMJ19tGNy6AzOewF1dTvH8wnX7Db2ZIxWF66FzMTjx8bsJOC/88yeSyZ77TgWId9T0x8gem1QUsC13/4uvo7Im/rbmgq62nHxQTtgVa5fhqT57nPdbkeyUE7yn8czlbZWRSsDFViryltzVdRRdt55sJELoJWl3VNx6C33Py6buaWki2R/CGfDRvV8yPGIx+VBwFAvxKWkUYXDT3HoioQRev5v9+9sBmDG/kf6+IXRdZ9acqZw4Ie2TxqY6jDNUo37y44cxTZN582ZRUV7Oj37whKzLjg2fP7cNy7SorJDWUjDgRkdhxlN4DLv1UWRgaBYk4uJRAfhrhBR4KqWF4pk9FxUdQPNXoIW2gZVFa1yHXrcClejGekVilbW2j6PVjJ2o0kpskenw7vxtSlkQF48RragalUmihqWdpVW2ke2QzcjRMB1NN0geFPFqLkQstu8AKp3GUVaKp2nUVXdg8zbAzsgoKtxR8Z5fii139U3X551DCw1WJpM/xJUsnHWFV3MNVxPeMZWK9PAIA1vkQ6eQpyXy8/frC1homkrnWx8N9208759Pddmk4kytDwBLyvkXU5FSShF+4iEAiu9+P5rhILR5KyqTwdvagnJ6iZ/oQnMYhO3E0fLFMzj11H6cPjcn90o1YrBfckCStq7CVyaeA9MXN/PLza+iaRoOn6xz2vRmfD4PXSeFmDQ0nGG8NRLl7/72SwB87Nffz89+8jTxWIJp05vZu01Ej8SEOOimQgcSwzF8Dg1Q4p6ZyqCSadx268MTcEAyiZ4OAQotJsZZWsYWaM65EWvPNwExu1LpkAgz453gn4K26G/HLzQgplQqcdoESLwflAmaDt5KrD4ZH8VTjOavGCUVzbIZJfeLfsIzUwhKeJtUTYKLFo55fvttUlFewPHgyZ5+BjZLBk0hZ30Mb9uDlUrjKi+hqKVwtS0Xg+b/euSCDRoBybaqLtwgvDOhMGnyBOj4/i8wEykCM1oLNs1TWdYYQ5xCxeDWHWSjcdxV5ZQuOf/EwtQp2XDd9WdxcLT3GoW6kCUCkNy74zRL7lsBGHp+EwClN6yn3w5zK106j67NsvEpj1QlymY2kI6n8ZX56Tk2gKZpdByS0/lIRHqlwSq578z5zRw9KnqKuQvEkrq7W7QMtbUTtz7+7z/+B319A7S1tfKbn/wIP/iOCCdv3HA9/T0hAn4v7Xu6cditjyJbSFFc7BbDq2QKj9MCFEVFui3UjOF0mZBK4Cpzg5nBqK5Ddb4Omobuy4CVQWu6Ab1xHWr/v4pWwluLfsMjaM4JxLauEvlvOpS/SUWFFOKrRjOcWP2S8aFXS1sye8JOem2egxWPkW6X73tmiX4ivM3O+1g2Sh7iHafyBK/iuoUTXrNCQOdPnkSZFqVL5hCYNvG4dCEgV8GrXLe8YKstFwvd473or3ci3hGvhtRgiE57BHPKJ99XsHqKyKF2suEohs9LcPYkg5uuQvQ8KXkZ1TdfWHk3dUpOvWcnFXlWcUFQ2SyD3/53QCy5dV8RmaEhIjuFPJSuW8OpR6XXXzR9qrQ+/F76jglxsJxiVlU6tRrQqGqrIh5J4gt6OLRbNCGxrExELF09iz1vysY5b4GEZ/X0iOZgIj3FiRMn+X9f+joAX/j7P+fwwRPs3H4Ap9OBkZXHnTalWdJPG2S6IlB0muGVoQBFkVfyP1Qygcst1Yoie+rDXSr25K5qaYEY0zagjj8m/17wSVQ2jjryDQD0Jf8Xzd864XXUXDLlQnpk9EabVGgBOcFavVIm1yunoSyL7AmZ9HA2zyZ5aA9YFo6qWhwVVWSGhokfFv1FcMnoREH/i3K6L108p2At681EMu8+2fj+O6/wai4cyjTzNulVG1Ze4dVcw9WGdwSpOPnTJ7GSKYKz2yhfVbijTbmsj9JFs9EvUoB4pZCNxfOGVxda3k122ZWKurMFReVIhXVBjzHyxE9JHzuI7g9Q+r7fAJDwMMvCN3MGyf4REid7MHweYhHRTlStmEPfHtEG9NkummlL1uGrkDJo07wGIsNxPEVu2tuFHC1YPp09dv957nwhFblKRU3NeFLxj//wb6RSKdauu44777qFH35XNvuNt6/mpWeE9KSHZPpFz1joGqTCCTy24ZXf7xAykUrhscmEx2+gaRZafAhNsyB0EjQFg3bVYOo8iPeCtwKt9VbU0W/LVEdRCzTcfeYL6bRJRWaUVKiIXamws0KsPrtSUTUNs78TlYiCw4VRO5XkPpnyyFcp3pDXjrdtKs6y0Uj7nP9MIWdLDL2+m2wkhqemsqCTVYde20UmFMER9FOy6Jqe4hrGouBJhVIq379vfP8dBVulgFE9RSG/UQdfeROVyeJrqr2g8q4Zi2GGJX3UXXvmfqNmx4SrdPr8HyMaJvSTbwNQ9pFP4yirQFkW/Q8/CkD5zTfkXRsrN6zk1BYRITrLy0ApSqfUMHhiEM3Q6TwkFYdIJCVrDkolYc7KKRzeK2LMKbPqOHFcCEaOVIyMyN9YUlo8Zm3RaIwf/c/PAfjzv3gAy7J45CGJOV+1ahldJ/rxud30dw7jdhpEh2L43PI2Lg5K60Od1vrwekDXTEjEcLslTMzTUAbKwlVfCekoWsUUGJRytj7rA2AlUXv+Qa7z7AfQ9LOMNWs2+VVm/iYVlr9bC8iorNUn46N69Uyy7XYCatMsNIeTxB55zXvmLJTr8rKso3jFKHlIdPeLKFDTqFpXuAFiQ68JISy/bmFBtwxOfP8RAGpvW1uwh59ruHwo3Fe2jeiREyRO9qC7nVQUsIArvP8ow9v2oBk6VTcUbklx4CU762P1hZmPpXrkBG8Egxi+M4csaW4p41up5BnvcyaEfvodrGgEZ9MUAjfcAUD4tW2kurowiooovWF93vAqOH820Y5edKeDoVNyGvfWypRH9aw6IgNRXF4X7fZEyPCwCDprppSTzZpUVJcwMChGUA2N1ZSWSUUjEpH7Bd5Syn/ooceIRmNMbWthzZqVvLp1F709AxSXBBjojAAwpUnaCk0tMgUSKHLlWx+e01ofDt2CVAq3V4i2p1jCxJyGHcTmEyLgnH8rql2mdYz5n0Dt+xdIDUBwOtrUj57jaub6T6eR+bDoR7RgMyqbQtkW3Xr1DLLHbYLWOg8rmSB1RFoh3rmLZaLgdVtsvWr0PZA7NJQuno27suwc67l6MfS6kIqy83SXvZow+jll0PSBwm3hXMPlQ8GTij77w7985cKCHjNr/++fAaJD8J7Bt+BqhzJNBu3Wx4USvHS3TCS4zyBgzEH3iCZAnaeBTKb3FCO2e2b5r306by7W++DPAai441ZCOw+SDUdxVZQSsSc7KpfOpGOrZFFE7VFSt00QamfXkYpL1PmBnfbopEc22XlLp7Jnl5T/58yfll9HNCK/NxAYm8D67W/9DwAf/ej70TSNhx+UsKaNt6/m0R9uBgWWHXOeHknksz7yrY+AA0eu9eESguHxgq5ZaMkwulOhwn1oTgOGj4GmoenDgEJr3ADuItSBf5NrvOCv0PRznUTHkwqVJxWN4qRpmTL5Eawhc1xafI7WeSQP7IZsFqOiGkd1HdHde7DiCRxlpfimj16r3qftEcybC9ebItHdT/zEKTRDp3RJ4aYOn/juzwGo3rgaT03llV3MNVyVKHhSkTMnqtpQuM50yb7BfM+4+dfedYVXc+EI7z8qvVa/j+IFF+YVkuqVSoWr+hykwitVDCsZR6nJqzVDD30Xshm885fiXSSn4WTnSSLbd4CuU3nvXfQ+Iyfj6ptWcWqz9Py9DdVk4imKqko4uUuEmKEhOfG7gkJmm+bUEQsnKQp6ONUtgs65i0dJxdx50/PrSCSkwuLxevK3HT3aztaXXkPXdT704fsxTZNHH94EQHNdM8ODEaqrShnsGsHrchAPJfDbUx9BvwtDU1iJ0daHx6UwdAuVjOfDwzzVMsHhapVqh968DHVYTLWMBb+J9cYfg5mAipXQMImTaE7Too1+lKiwHRgYbMLqESKm18wAMzM6TtoyV0gF4J0t0eY5F83gksX59kDk8Amih0+gOQyqNhTumPXgS/aY7Oy2go0HTw0M56c+mj98zxVezTVcrShoUpGJxIgelQ+w0mWFy/57f7kFlKJk4Sz8UxrP/QNXKXJZH6VL511wrzXdK5uxu7rqrPczim0RXzaLFY1M6ndnQ0NEN8mUUOn7fiOvvxl4Uhw0i5cvxVFSysAW2QBKVyxiaJfYS0dHRLtRMbc5P0p6Yo/oJELDUi1xBYUgzF3Vxp4dUvKft6xtlFQsGD19++22RyxqZ4ckEnz6U38CwPoN11NfX8urW3cx0D9MSWmAI2+K+HHGtBYA6url7w8G3BiakgwGh1QmfB4dp25BJo3b7iB5gwagMDIDgEK3xFbcUVMOiQEobgWfBzp/DpoDfdkXJ6dPysr6cdihY+kIJGzjq+IpWD0iBDVqZpHtOACZFJq/BKO6mdSBnD+FjE/nrbkXjrYHTj0slZrKtcvOOz/makLvc1JRLWT/mdDO/aAU/uktBf05dQ2XFwVNKsJ7DoFSeBuqcZeXnvsHrlL0PCmiwJpbCzd1UZkm3fYI5sUo29N9Inx0nYNUaE4Xul82GXN44NzrU4rBb/0rKpPGPX0ObnsjU6bJ4C9l4yq/7RaGXtslFsqVZUQHoyhLUTytgc7XZMzRcohAtHJmHZlUlmBVkOO7ZMMfGZENdtrCRjqPScVl2pxGDu63CcaC0UpF0N4gR0YipNNp3v++T/LCpq0EAn7+9u/+FIBvff1BADbccB1bn5UNONYn1ZHkcCJveOU2ABT+Irv1kU7jtlsfLoeJrpuQCOPwZCGTwqisgJEucHqgT8Z/jSW/jzosI6Ta9N9CK51k3z8rbRyc0sZRIflb8VaguYNY3VKZ0GvnkDkmf4OzdT5YJslDQjg8s+ZjxmLEDsqETGCRPDdmMpUXzBZy1kdqcJjQDtGOVN1QuBXV0JtSdSpZULhC8mu4/ChoUhHaJary4vmF66AZPdpB9MgJNKejoD9wBra8QbK7H2dxgOqbr7/g35MnFVVnJxUARqkIJrPDg+e8b+gn3ya2+WkwDMo+8qn8KXzk1dfJDg3jKCmmeMVy+p5/BZATZdcz0lormTOFaM8wDq+LnmNCYJQdJFQ3u45UIkOgvIjDu4VcuIuFeDS31dDd3Uc2a1JSGqChcXSapTiYIxVhPvmbf8hTTz6P1+vhZw//N4sWzePIoRP84udC0lrqWrAsxZz5Uzh5uA+PwyAdT1NcIpMm0vrANryydRQuC4dhQiYtTpqAp1zKFq5qmThxtM4UTwlfFVrrDdAtYk1t2m+e83rmoDI2qbArFYyI26dWLL4WVo9spnrNLLLttp5iyjzS7UdRyQS6z4+zsZXo7r1gWbjranHbra+BrdvzI5hly+ZNek1XG/qeewWUIjhnGt7awtUhjORJReF+3l7D5Udhkwr7RV7oWR8A5SsW4Az6z3HvqxddtqlP3d03YHjcF/x70n2yabsqz/3h6ygX4pHt7znr/VJHDzL8428BUPHJP8I7ZzT4auhZ2bjLbrwBND1v9V62chHdL8nJOuuQtkbd0ml07xXi0HdSJkF0rxCIKQubGO6P4HAaDNsjsXMXT2X3m3L6njNvbMhdoz3B8Y3//B7/88Of4XA4+PFPvsHq1VIe/6+v/hSlFLfcvpo3XpTXeUu9+HZU26SgyCN+FGZilEz4PJrd+sggAzIKt8cUj4rkIKBg2NY5OKVtpM/7OBz9lugjqtaiBUfbNOdERv7WXMiYCkm7SCuZghXpR0X6xK2zeibZ47lKxTySduvDPWMumq7n/SlOTyXNZX1U3bCyYEcwlVKceljeGxdDtq80UoPDRA63A9eyPq7h7CjMdyoQPnCU0Pa9oGmUXYAV9NWC0dn1Ree459WL1GCIoVd2AlB754YL/j1WJkN2WKLDnVXnDiFzNrTI49tl9Imgsln6/+PvwDIpWnUDwZtHjZzMRIKQ7YtQdtMGRt48QDYcw1kcIBZKYKWzBFpq6N4jvgveGvGpqJhazUl7hLS/WzZVX4Udcb6wkX1vtgMwb2kbu3bIBr5g0djT3Qc+eB8Au3bJSf4jv/Yebr5lPQDRSIwf/1DCw+6+5yb2v9mOoet07hHylImkMDRpfXjsrI8in5FvfXjcQjCcehbDMCEZlUKCsnDWlUM6hlbeAAPiEaFPvwd1RDI/9JmfGb12ysTqfQyV6Dzzk5Cyq0QuGfVUw6If0UqnYZ0SIaZWMRWVyUg6KeBomUdy7065prY/RT7vw3bRtLImA7a4sWLN5MeToyf7ySbP37vkciG0Yx/RIyfQPe7zTuu9mjCw+Q2ptsyeiruicFvN13D5UbCk4uhXfghAzcbV+JrOYud8FSMbTzCyW1o4hZz10fvLLSjTIjhnGkXNFx4ulBkSl0rN6cBRXHyOe0PRMhkxjG19HiuVmvA+oZ99j3T7EfRAMRWfeGDs9156GZVK4a6vxzetjd5ntwKiCTlptz5q1yykb1c7AOGQPEZxSyXKUlROqeSoLaCMpyQ1ddbyKezeJqf1eUvb2GVXKuYvHFtNW7JkAfPnS0aNw+HgT/7XZ/Pf+8kPnyQaidM2rYmhLmkvzF/QRm/HEMEiN5lkhuJiu/URzLU+0nhtHYXbYbc+zKwt0AR3qRtQONyiyXA2TwFlodWugIHN4ogZmAb1t+XXYR3/Eta+38N8/U6s/qcnfhJypMItragcqeA0UmHUzSNj+1MY1S1oRcUk9u0ExEkz3ddPsqMTdJ3A4oUAjOyWsV5ncWBSlUjLtNj1bz/lsTv+mCfv+zOGD3ac82feDnT+WMhh7W1rC7oS2W+HoFWsKVxH02t4e1CQpCK06yBDr76JZhhM+c33XenlXDBCO/ejsiae2kq8DYWbVtfzhIj9am+7uJNYpl9aH86KiklNHnjmLMJRUY0VjxL+5c/GfT994ijDP7HbHh//fYyS0ROWUoq+n8rPlN20ASuVHnXRvOE6euzWh1YcRFmKsml1HH9VyELWfttUT6shk8xQUh2k/aBULmqnlDPUP4LDYdA2u559u2WTfSup0DSNz/6uaBc+/okP0dralF/Xt78h6/rYb97Hkw+KxsPvED1EnZ314TY02/Aqicee+vC6wKmbkM3g8UkFw6mnpPURG0BzmBDtBocLEiI81We8B3XwP2RNMz+DZo+GWkNbUR3/KYs1Y1h7PoU18Pz4J2EcqZDfq5W0YXYJkdDr55G1RZqOKfPJdHVghUNoLhfutpn5KkXRjOk4AqI1Gci1Ba9fjO44i6Mn0L/jMM9+9G/Y/w1xRI119fPsr/0NI0e7zvpzlxvJvsF8RkbDe247x72vXmSjMYZfl+eysoBt0q/h7UFBkorux+TDrebWNXjrC9MoCuwRLaB0ydyCtRdPdPcTOXQcdI2qmy5OaJoZlEqFs3xyromarhO8670ADP33fxB7ZVP+e9Etz3Dqzz4N2SzeRSspWnPzmJ+Nvrmb+OEjaG43VffcSf/mbZixBJ6aSpIJhZnKUFRfSf8RmeKomNNMtC+M0+ui66g9beIUAeT0Fa0cs8dLM5q4VE6f10xnRw/JZJoiv4/WqeNj3D/ya+9hx87n+Ocv/n/52/buPsyBfcdwu12sWLGIw3s7cBgGHXuEtET7Ijhsw6sij4yJ+nwyQqoyGby2jsKhpXE6s5BN4yp1AWpUoDl9BQzuA8ON5kpC7AR4qtBaPwiACm3D2v1boLJoVXegVYsngTr57XF/g0qKsBZPJSoxMDpOWjoNq0uIhF43j8yxnXLJpswnuVdIhHv6XDSni5HXhEDkUkmVZeVHMM9my51NpNj6x//Bcx/7W4Z2H8PhdbP0Lz5G5eLpmMk02/76v1HWhWXDXAoMvrwTLEVw7rSCHsE89YvnsdIZiqY0UlTAf8elhplIXvTXOxEFZ9xupTN5hX7NbRcWWHU1wMqaogqnsIVPOWFjyYKZuEqCF/W7cqTCVV4+6Z8pvvN9ZE6eIPL0I/R+8f9Q/Ud/TezlTURfED8K97TZVH76c+NIW++DUg2o2HgTjuJiep54ARCieurFnQDUrV/EzkfEO8Ey5K3SsLiV156T6kN/j+gpSutKsEyL8tpi2o8JuZi/tI09u+wQsXnT0M8gNJw1e/qY/3/ox9JmuPnWVbzwmGy+s2e20rtnkJraElKDccqCLkilCBQ5sGIZVCqDeGgpXFoWp2GCaeIpNsBUuHwWxBU6IQB0j3yY6dPuRh0U90xt7ufRHD5U+E3MXR8HK4FWthZ91j9Cqg+z92HU8FZUsgvNc1qLKyFkR/PWogallUewCTIpVEhMwvTaOWSP2ZkfUxcS/vEPANuaO53OVyqKrxOR6sjuQ6R6BzGKvJStXDjhdQPY+7WH6fzl62i6Ruu71jH3U/firSyh5vp5PPmuP2VgxyGO/3wzU+67MlqGodfktVO+YuEVefxLAWWadP74cQAa33t7wR5+Lgd2vfdD+C8i+ySazV7C1Vw9KLhKxeArO8mGY7gqSildNPtKL+eC0fv0SyRO9uAsCRR21oet0K9YffFl0Zymwlk2+XwHTdOo+OQf4Vu5DrIZev/+c0IodJ2S9/46dX/7FRzlYydJkp0n88FVVffdS3pohCHbuKvqltV02y6agakNxPtHxoyS+mpKAKidWcvRnSJgTNun4dkrprD7DVtPsayNQwfaAZg1Z8qk/hbLsvjZT4RU3HXvDfzkmzI14HeIY2dlhe2GaYChQSaaRIZPFB6nwpUjE34dUDhUAt0wIT6E7tUgHQVfEHrE9lorr4ZkH/hb0aZ+DBVvx3zz18GMoZWsRJ/7ZTTdjeZtRCu5DlCo7ofGLjphT954a1GDIjrVymbmWx9axRSs4QFUIgJuL0ZdG4k9dhLpvMVEd+3BSiRwlpfha5sKjGZ9VK5bjuF2TXitIid6OPRdGYFd9U+fYdlffgxvpTw3RbXlzP20ONO++S8/JjkYntT1v5RQlsXwNhmhLWS9VP/mbflR8UL20bmGtw8FV6nIVSmqb1qVz20oNCil6PjewwA0ffAuHL7CzCzJxhIMb5fJi8o1Fx/mlh6Q/vxk2x85aIZB1e//b3r+5g9J7tmBo6qWqt/7SzyzJv4w73/4UVCK4pXL8TQ20PmTJ1CmRWDWVJKhBKnhCM6Aj/CAiBprl7Sx60XxX4jF5XRRM72GPW92U1Tio+uEEI7pi5v4xRdElzF/aRuP26Zaza2TE6++8tKbnOrqI1jsJxvXGBoIU1NXTvueU2jAwPEBHBpk4mmCXgOsDD6vjpG2UJks3iLAUhhWEpczC5aJu9INZhRXTSlEh3E0tcBQB1r5HBgSYao2/VNohgvzxFcgG4bAfPR5X0MzRi3Etdr7UaGXsfqfQG8VUanKhEfNr7w1KDtGXauYi9UlxMyon0/m6E4AnC1zyXZ12noKN+62WfR9VQy3gsuXoek6VjabD3OrvmnVhNfJTGd49S++gZU1qbl+HvU3jDdbm/bBm2l/dCuhgx0c+PbjLPzD90/qObhUCO8/SmYkguHzEJzT9rY+9qWCUooT35GKXv29N13UqPg7EfN//H2CwQuvzobDYagp3Pb9mVBwlYqcM10hJ5JGDh4jerQD3eWk/l23XOnlXDBCO/ehsibehupLMoGTr1ScJ6kA0F1uav7sn6n+3N/T8MX/PiOhsNJpBp+RKPHKuyXbIteGqr7perq3iA6gdvV8TrwoJ01/YxVmOkuwrpQTu+2Svu1PMWNFK/tfE8LhL/eRSmYIlhTR3FbDqS7RG9Q3TO6D41//+TsA3HnvBh7+nohfly6ZhZm1aGwqJ5s2Ka8oAhQ+t45DU/bUB2gonGRwObJgWXiCDkRbEQUUWrIbUOhJad3oM+6AoR2gO9Fa3otKdqF6hega0/4SLWdmZUPz21XB9GnupTF71NRViub0o/pscWvlPMyTO+Vx6heQOSKjq86pi4jvEuGiZ/ZCcDgJvSQEouR60eMMvrSdzPAIztLiCU/4Sim2f+G7DL55BGfAx5LPf2TCkrzuMJjzSRkfzj2nbyf6N0klrPy6RQUbDx471kl431F0t4uG995+pZdz1cHwei76652IgiIVie5+kj0DaIZB8dzzMOi5ytD96CZAyruFGi4E5H0EypZdmvJudkg8KhylFzYHr7vdFC1fg+478zUdeflVzEgEZ0U5waWLxULZFsxW3bAyHyBWsXgG3dullZFMSxhX45JW+o72o2kag3Z6ad2MaoZ6wxgOnXBMbLrnLpmKrut0nxLRYm3duY28Xnx+G88/8ypOp4N3vesWdrx8EMPQSQ2L54LXFoU6lIlDAzORxuuRNofHYUnrw7Lw+A00TWGYMRyuDGRTOMp9kE2gl5VAvBs8ZaDJtab+TjRPJVbH10WYWboKrXjh+AU67HHI7Gk5KzlSUdSIUhZqINfymId1UjZyo2Eh2SPyOnG0LSLxpogyvQuWET94iEz/ALrXS3CJ+LScekQIX+3t6ybcjI/+5HmOPfQiaBrX/cNv4288s/Nq6Rxx9Yx09GJl3r7+tVIqH7xVtaFwW5unmwu6y0uu7GKuoWBQUKQitFOqFIGZUwqW5VnpDD2/lJ52IZvhZMLRvLjxUn1wZoZDADjLLp+5Ti48rPyWm9AMg/5Nr9mmPm0o3WDkUCdoGumshrIU5dPr6dwhngeuEtlY6+fUc+QNO+LcLRtf2/xGjh6QKsbsRa1YlkVvt5zqa+vPTiosy+Kv/0LGOj/6iXfxyjPSRrj+xgXs2XoUHRjqHMahQzKSxOcWMuF1gUu3pFrkBU2z0DNxnI4MKAtXiVRTnKXyXjHKhGzpsz8AHZIrok/9KCrVh+qWpFKt+VMTL9Jhh3mpDMoSvw4VtXM+ilrEnjsTA8ONchSjwt2SXOqvxezrAE3D0TR71PRqwbJRw6uli9FdLlL9Qwy8LLfV3XXDuCWEDp9k+z98H4D5v/tuaq8/O5n11ZTh8HlQWZPoyb6z3vdSInrkBImTPehuJ+WrCtfUbtSWu3Adi6/h7UdBkYoRO+ujZGHhes8Pv7GHbDiKq7ykoAVc3U+8gJlI4W9rpvQS5DIo0yQ7ItbXzpKSi/59EyEzNJzfyMo3yohprkxdtWFlvkxePm8KJ18Xv4X662bSs0/IwkhI0kgb5jUw0hfBcBoM9IkIcNbyVg7tE6IxfU4zw0Nh0mkxxKquObs76PPPvMqunQfxB3x89oGP8Oj/COlsa2nAMi3q6oRk1TaWkGt9OHWFlcrg9WhoKBwqg8uQ07jXHiE1rAjoFoTbQVNoMdtCO1gC6WHwNUDNDVhH/x6sNAQXoZWcgSDqp5F4U64DYduTIjB1tPVRPhvVLaRIr2wj2yHvWaOujXTnCVQqiVFShqt5KuHt0hYJ2oZXfc+/CpaieN50ilrG61D2/9ejqKxJ3doFzPz1c5fjNU0j0CL+L5ETvee8/6VCzrelfOXCgtVLKaXyeqlCzla6hrcfBUMqlGnmX+TBmVOv8GouHLl48IrrlxS00LT7F+IVUn/vzZdkzMyMxkBJm8FRfHGjqWfC0LPPg2VRNGsGnoZ6MfXZLtWvynXL6XpOCEfN9fPoeEluN2wXxKoZtRzfLqTB6ZcNdsrCRg5uF+vp2ctbOX5QxkmnzqpnaDAEQLDYj8sOHzsTvvm1nwLwwV+7i6N7uxgaCFNWEeTQq/K73Ya8TbORhLQ+kpl868Otm0ImLAu335BqRSosrQ/LxFlRBMrCqG8EMwVlM+CUaCe06b+FGnoB1fsIoGNM+4szP5fWaTP1NsFQYWkbUTwTq19e11rVAszOnXK3xkVkDst0kHP6EhK7xaXUO38pViJBbK/8fHCpCC0HbNfGyvXjiU2kvYfOp4QAzv2d+yb9mvNVCyFL9A1P6v4XCzOZ4tSj0sKpu+vGt+UxLweih9pJ9Q9heN0FPfJ+DW8/CoZUdD/xIvETp3D4fZStmGQs81WIwZd3AlC2snD/hsjB45Jn4HJSfculCUnK2iFcepEP7TII26xUit6fSMm//FYRxw68vBNlmvha6jGKA/S8IqTV21hLaiSOO+hjqCsEQN3CFvqO9aPpGiPDclKfuriJI2+KrqC2rZJwKIaua7S01TI4ID9XXlFy1nUdP3qSZ3/5Cpqm8RufvJ/HfizjlCuvn8vhnZ24XQ7CvRHcDo10LEXA7wQUHkPlWx8+n263PhK4XFKtcJd5AIXDJToPwyeEzWheDiN7JVW05T1Yh/4CAK3xN9CCZ6mc5aoTaKDbUwAjUoXQimeh+nMizflYJ6UCYTQuInNIiIRz2lKSe+V2z5xFRN7cjcpmcdXW4K6rG0vwJsj62P/Nx1CWom7tAkpnNp/1mp4Oj339E/2hSf/MxaDv2ZfJhiVZtfy6hW/LY14O9OeC9ZbPP+NY7zVcw0QoCFJhpTMc+9r/ANDysfsK1kM/2dNP/EQXmqFfMnHjlUD3o1KlqFi77JI9FzlS4biIEa2zof/Rx8kMDuGqrsq3PnKakMp1y+l6fgcqa1I8vZH+w1Iqb7x+FsdflmkJh12daJzXkPen8JUXYWYtyqqDhMMi3GxorcbtcTE0KK2csvKzZ5h86z8fRCnFjbespLauimd/Iad1PSlvzbaZkkxaWe1HRJlI6yOTxefV0VAYZkqmPkCyPjQLPRNCd2YhNQLeIgjJhk2mHQBtyq9B/+OQ6gVvM3rr7539ApoyXovhQ9M0VHoYknZLITg9TyqonJ+vVGgV08l2Sl/e0TKP5GGpTHjnLMqnkuYCxAZzBK+5Hl9T7ZiHjp7so/0xGX+d/Zt3cz7IeVckbZJ3OaGU4uSD4p1R/66bC7YSCTCwRchgIU/ZXcOVQUGQioGtO0j1D+GuLC1oD/3cSSwwa2rBTn0oy8p7hdTevv6S/V4zIptyLvvhUkKZJn0//TkANR96P7rTSap/iEE7WbXujg10PScfoo03LaVji1Qsqua3MnRcqhPDg3JSb1ncTOc+cZFM2iFis1dMof2w3NY6XUZrR0ZkSqK4+Mx/TyqV5sc/kMCpX//k/bzwxHZikQQ19eXs3ixkxoyl0YBUKIZTg2w8jc9ufTjJ4DayoBSeIh1dN9HSMZweE5SFo0yIkLOpCVBodQugf4sIKGd8Cqv7RwDozb+NZpyj92/afhSGTSJHhCzga4BMEqLS+kErguQIODxkR6KgFEZ1M5meHshmMMoqMGrqCb9qW3PbrY/ca6py7dgqhVKKN/72O6isSc11cymff36tT3eZkNTUcOQc97x4RA4eJ7zvCJrTcVFpvVca0aMdRPYfRTN0yq+Rims4TxQEqej5pRgK1d6+vqBLcaE35aRWsqBwhU/hfUdID4bEQnnZ3Ev2e824nISNIt8l+505hLZsJd3Xh6OkmPKbpc/d88sttihwBq6KMnrt1kfF0pn07RHtRFaTNkzt3Ebabe2Ep9SPUoqq5nI6j8hEwfTFTRw/LJtqjlQkEzIh4fOdeUrpkYeeZXgoTE1tBetvXM5//5sEYi1aMJ1kLE1NQymDncN4XBpW1qKkzAtI28OtW2Ba+Ip0dM1CyyRHWx92IqmR86hItQOgl4r/h9Z0P2ROQaIDHAG0qjvOeQ1Vzp/CZQeHjeT0FLNQtp6C0mlY3dIS0evnkc2ZXk1fOqqnmLeEdNcpUqe60RwOgksWkY0n8uPJVTeONbzqeOIVerbuQXc5WPy5D59znW+Fs0iufyZ2+XMWcq6s5dctKugRzJMPyYRUxdplBf13XMOVQUGQilxCXk0Bj2CmQ+G8/XDZ0ouflrhS6LfTIytWLUZ3nl2AeD4wY7ne/6UnFb12GmnlXXegu1wiNH18EwC1d6yj5+U9+QCxcG8ElKSSdu2RNkfdwhZ67JZILCa+EdOXt3DY1lO0zW/MVypapgmpSNikwuOd2IWw40Q3f/bHXwLgox9/F9tfOsiu14/g9jhJD0sFpLlVRlHLysTwyshkcOoqr6PQsdAzSZyOLKDwFGlouomWHEJ3Z8FMopcUizeFOwhh20diyodRXZK/oVW/C82YxDVPi9up5rInWWxSoRXPRPXuBECvXIDZKeTAaFo8ano1bcmoNffcJYzYVQr//LkYPh+DL23HSqXxNlQTmNGaf8jUSJQd/yjrnP2bd+cnOc4HDpvUZd8OUvG6tIAKeaorG0vk24IN92+8wqu5hkJEQZAKZVoE506jqHlydsdXIzp/+ChmPElgRutZQ5KuduRJxSWOQDZjUqnQLzGpiB08RGzffjSng8q75UQePdRO7GgnustJ1Q3X0bVJNrz6DYvp3CqbZeOqWRx9UUr8rhJpVdXOqOH4bonTbl3YyMnDUqmYtqCR9lylYproAXKVCs8E1sZKKX73k3/NSCjCkuVz+OwffoRvfukRAG6/73r2viz+D/1H+qX1MRLDpYOZyuAvcsgIqZUWwyvA4zcwdAstm8TpFUGm084JMcqkraG3rBJi4KlEFU9DDcqEgl7/gcldyElUKrSqhVgdIvDTa+eRbRdHUqNxFilbT+GZt4SRV8VVs3iFJJD2PiNku/rGVWOmOo7/7EVSwxGCU+omNUI6EfKVivjlJRVmIpk3iyq7BCPWVwrdjz6PGU/ia66jdMmlq0Rew68OCoJUAFRtuLhY7SsJK5vl1C/kQ7zlo5Mfh7vakOwdIN7eBbpG+SUmRlZSPvQN76Wd6x94QoRzpWtX54PKep8V0V/5qsU4/D66N8sJs27dQjq3ysYQbKkm2hfG4XYyMiSEZ+ryKRzZ1g6Ap8SLUorSqiD+Uh/dnbLpNrcJqdB0eY4te0z2dDz1+BZefmknXq+br37rr+juGGDL02+iaRpNddUopWibVUdkMEZxsRtlKUpLZZrDSdZ2z1R268NESydwuU1A4QoAKHRzEHQLLWZ7SbikwqI1vxfV8XVQJlrp9WhFk3OmVSlblOmyHSzzlYpZWH075bbS6Vg9cv0sywtmFr2kilR3L1gmjpp6NG8RkTelYlK8cjnpUDjf+qi+eXSSyDItjvxYBMEzPrIRw3lhE0G6W6ppl9tRc/CVN1GZLJ66qktiWX8lYKbStP+3BMZdSyS9hgtFwZCKsqWFy5oHtrxBemgEV1kxFWvHj8sVCobsNlRwVtslF5paKTnZ65dQM2Ol0ww/J6Xc3BipUoq+5+zAqhuvY2hfO6nhCI4iD67KUiJdg+gOnVhUNuHGpa0cf0P0FCUNZSQiKTx+N9GorHfqvHpOtvdhWYqigJfyKpn28Npl91zFIodsNsvf/e+vXyo0DwABAABJREFUAvCbv/M+mppr+cm3JI109c0L2Pm8xKX77c2wtMyHhoJkCpeusDImRV4DXZPWh8spZMJdBLrDREtHMYoAM41RWiTkoXYpDIihFvW3oHpsN82W3538xUzZEeeeWlRqMJ9Oqjz1EBJTLSulQFlopY1kT0keinP6UpK7pHrhXbCMkVdelyTVlmY8DfX0PLUZlTUJzJyCv210VLRnyy5iXf24iotouv3CDxSaHTmvTOuCf8dkkDdRW7+iYDfj8N7DpIckd6Xu7vGOptdwDZPB20IqvvzlL9Pa2orH42HJkiVs3rz5vH7eEfDhb2u6TKu7/Dj1iGwatXesL9hwISC/GV+OnrGVsk/S7kuXhBja/BJmLIarqorAQvEFiRw8TuJkr1goX78476JZc91cTr0uExc1C6fQsU02xaZlU+m0Q8QyllQd2pY0075P2h1T5jXQcUw22KYp1fkNxWu3Pd5KKn78gyc5eOA4pWVBPvP7HyKVTPOz72wC4Oa7VnBgWzuGrtF9qBcNiPSEcOlgZS0CxS57hDQtUx8oPD4NwzDRMkmcXtk4nRW2HbfN+/SqZrAyULYIFXpGMj7K1qCVjFX2W8mjpDr+mGz4+XHXUtmkAndtvkpBUTMMSyWEYDOqWwiR0bR01J9i+tJ83odvwTJCL0mVqGS1CDK7H5O//a3TEod/KAmvrfeuweG5cKKp22OdKmte8O84F6xMhoGX5O+tXLf8sj3O5UbOsbh08exLqpe6hkuL891PX3jhBZYsWYLH42HKlCl89atfvazru+yk4kc/+hG///u/z5/92Z+xY8cO1qxZw2233UZHR8ekf0fxvBkFO/OdHhoZHV0sYIe9eMcpBrfuAE27LJkl+UqF69JUKpRpcuq7IvIrv+2W/Im13x5dLL9uMQ6fN9/6qL1+HideEA1A/cqZtNv+FK5SP5ZpUVpfQtcRCQibtrSFY3tEWzF1XgOdx6Q10DRlVEjos3v5udFSkCrFF//+mwD8/h9/lOKSAM/+YhuhoQjV9WVETolYtXVqNVbWor6lFGUpSkrcaCj0dAq3YYJS+Hw6hm5BJoXbowAlpEKz0BLdYJiSTKrpEJMKE423o3pEtKq3jPpSKJUlM/BDUu2fxorvItPz7+MvaNKuVLhrUDnPi+JZqF4RY2pVCzFzeorGRWSOis5Cr2wm03UCdB1X2xzCr8t9Sq6/TkzUDrWjOR3UnNb6GD5wgp6X94Cm0fbeizsxa7YbqbIuX6Vi6LVdZKNxXGXFFM+bftke53Jj2M5WKp5/LetjMjATyYv+Ol+c7356/Phxbr/9dtasWcOOHTv40z/9U373d3+XBx988GL//DPish+bv/jFL/Lxj3+cT3ziEwB86Utf4qmnnuIrX/kKX/jCF8bcN5VKkUqNnuzCtiFScHbb5V7mZcPgqzvBUgSmt44z9SkkdD0s1ZbyVYvwNV76v0OZcpK8VG6ag798hlTnSYxgkOr7783fnnMKrFq/glQoytBeqUhULZ/N038t/eRAUxXJcAKX30PITiOdunwKe22b7qlLmvj+f8hJesrcel77tnwYN7SOJma2TZdS/oF9x1BKkUik+Ju//DKdHT2Ul5fw0U/cB8Av/kdOGXe/fw2P/pf822VXO9w6JFGohLQ+lGlRVOzASKfRMqm8jsLtsTDIomWTOIo1seWuqgAzgtawCCLbxUHTSEg7pHxDPonUShwi3fNFVOr46MWzoigzjGaIx4My45CR6Q88DRCS8VutZA5Wl+ghtKqFmG/8l9zfKIF0As1fSvKkVHHc0+YQPXAIK5nCVVONb1obx776QwAqVi/BeZqfx+5/t/v6tyzD33DmFNLJIE8m9Mt3fsq9N6pvWZ0nr4UGM5kiZPvoFPL0ytuJzXd8kiLHhVd0YlmZ8srtczm43W7cZ6jYns9+CvDVr36VpqYmvvSlLwEwa9Ystm3bxj/90z9x//33X/Daz4bL+g5Ip9O88cYb3HLLLWNuv+WWW9i6deu4+3/hC1+guLg4/9XY2AhIOa5QMbhVTnKFnFZoZTL5Ecz6e266TA9ik4pLUJGy0mlOfUfSLGs/+D6MIukDJLp6iR3tFFOf6xaKN4VSBKfWE+ocJBNP4S0PEOqT6kLzsil5PUXj/Ca6DklFIlgVIBZOYjh0GqdX03VCpkDqm0c3wFlzpmIYBoMDIX7ywyfZsPIj/NdXJePj9/7ko3i9bgb7Rtj6jJzoq0rLGOoNU14ZoL99EIcOoa5hPE5JSw0UO+1qRdIODlO4PeAwTMimcBZpgLITyhWG056m8dhl/5YPogbEf0Cr+yAAZnw3qRO/J4TCCOKs/V9oTiGMVvLI6AVNSvsHRwDNWYwKSUWHkjlYvVL2x1kJqSi4/WT6paLjnLGMxA7RGvgWryT8mty35LqVaJo2SvDWrcg/VP+Ow3RvfhPN0Jn3O/dN9ik/I5TdstKNy/NRl+ofYtBufVy298bbgOHte7HSGTw1FRS1NFzp5VwQsrE4B/7+a1d6GeeNxsbGMfveROQAzn8/BXj55ZfH3X/jxo1s27aNTCZzaf6At+CyVioGBgYwTZPq6uoxt1dXV9PT0zPu/p///Od54IEH8v8fDodpbGws2AAxK2tKpQIxxClU9L+4jcxwGFdFKeWrFl+Wx8gJ6S7FSa//F4+T6evHWVGeHyMF6H9BRhlLFs7CWRyg6wUhfLXXz+PEi3L6bl47hxOvivCweUUb2//5aQBcQS/KUpTVFTNok46m6TU4XQ662m1S0TIace7xuJna1sihg+189pN/LY9TV8nf/8sfcesdawB48L+fwzQt5i6ZyuaHZC2z5jdycPMR6ptLiZ4apryiiPRQGJK51gfS+jAtyKZxB+zWhzuLhomWjqB5HGKh7XRD2M7kqF2GOvIoOMvQylYDkB34AWChFy3DVftHaI4SzOhWVKYbK3kEo0iea5WwSYWnAaUUjNjtD2+jRJ4DVkwcR42mJaRyeoq2xQx967/lrotWcPJnfw9AcNnicQQPRES7+18lgr313jUEms/fl+KtyGkpLlcF4dSjz6NMi+L5MyhqLczNGGBwq53ee92ighWaRg610/PLl962x1vz2NcJXkSsQDgchpqH6ezsHPN7zlSlON/9FKCnp2fC+2ezWQYGBqitvfRV57elVvfWF6lSasIXrtvtJhgMjvkqZEQPt5MNx3D4fQTnTG5072pEz1O2o+kd69Edl0fbMlqmvrgPNGWa9P5Uyue1H/4guv0GVUrlRYGVG1ZipjOcemEnAA03LeWEbc3deP1sTrwmpMJXXUIyKtMe4WE5+U9Z2ET7XhFptsyuQylFV4eczOubRkkFwNwFo/31j33iXbz4+vfzhCIcivGtL/0CgJtvX87BN07gdDkId0spNBNJoKFIh6K4DQuUIhBwYmiWtD5c9gipM4PhyEI2iSMg185RKx8iem0roKD2ZtSInGS06rvQdCdmfC9WfDug46z+DJqjRH7G3SLXK901+ockxeRL8zZBrAMyYdCdqFhIvl8yFeukVC/0hsVkjgpBshwBVDKBUVyKchaR7u1Dczrwz59P36axBA+g9+W99G8/hO5yMOe37jnzk3wesHKk4jK8bq1Mhi7bfbKQqxRWNiux83DZDg1vB8J7D7+tj2d4PRf9BYzb885EKnKY7H56tvtPdPulwmUlFRUVFRiGMY5F9fX1jWNP70TkzHCK58+4bJvx5YaZSDJkV1uqb1p19jtfBHJtj4sd/QttfYVMXz+O4iDlG0c/6CMHjxM92oHuclJzy2r6XttPNpbEU1mCp7qcoUOnQNPwVJWSHInj9LkI22mkLUtaaN8lp/XWhY0ctyc/WufWEQ7FSMREB1TTUDFmLf/875/j1MhmnnzhG/zDl/6YYPFo+Np3/v1xIiNx2mY1EOuVx1myfgbdR/rwuHRSkSTBgEtaHwEXOgqSCdy2e6bbrcRJ08ziChqAwvDI97S0TQI0CTWj8Q7UgGhA9Nr3oZQi2y/6B6N4I7prtCKg6bb5mBrVNql4u/zD2wy51kdwJqpHKhJazTLMdiEJylUG6SRasJxkp1wn76IVhF+X+/rnz8PwevKTRJUbRmPOj/3sRQCm3r8eX3XZxE/wecK0p4qMi5ggOROGXt9Dqn8IV1nxGI+NQsPgS9tJD4ZwlhZTXsDpycNv7L3SS7isuJD9tKamZsL7OxwOysvLL8s6LyupcLlcLFmyhKeffnrM7U8//TSrVl2+DepqQc62t2R+4WZ9DL7yJlYqg6euaoyPwKVGXkthXtzoX//P5fRfcfttYyZJ3pqsetIOEKvfsJiTr8goXeXsRnr2y0bYtHQK7dvbAWhd0sKxN4VUTFnQwAn7Pq2z6+jpEgFjaXkAj3fsxuXzeTAMg0VLxmqCRoaifPc/Hgfgk3/0Lp77sYxclgbE+KuqVip0xTaZUMmktD6QqQ+HbkI2g9sHoHAYSXRnFi0bR/M7IROBQDkke8DwghYGZULxUjT/dKzoK1iJvaC5cVa8JU9Dsys71mmjsAnRlWjeZtSwbfVdMhfV/Zr971mocDfoDrKDIQBcM1eQ3G37U8xfNsZFM9nTL6dKTaNqg+gpUiNRup6XEnzrvWu4VDDt0DfDfelHJIdeEz1Mxeql6K7CHcHsskfe6+5YX7CjpFbWzGcrvVNxIfvpddddN+7+v/zlL1m6dCnOy/RcX/b2xwMPPMA3vvENvvnNb7J//37+4A/+gI6ODn77t3/7cj/0FUXk4HEGX9oOmkbFuktraf12ov8F29Rn3fLL2msdrVRcOKlItJ8gsvNN0PUxWgornZEAMaDuzg0oy6LreSnRN9ywmM6XpaLUeP2sfOujeXkbx14TvUDj/Ea6bUvu5nkNnDgozL9ldh09J4VUVNdPnvV/598fIxZJMH1uE17DRWQ4TmVdCQe2iDgyFYphaIrEYAS3U0qVfv//z957h8d1XVffv3vvNGAGgzboAAmw9y6SEqkuq1nFsi25xYkd24mT+I3jJG8S+0tiO81JXjvFae4ltmPHRZbkomJZvVCNRWKvIEDUAab3ufee7499Z0AIIAlSpMmRuJ6HD0lgypkLzJx19l57LQNDs6GQx+N1dBRGAZe7KEZXQfmAcDVIpUFvER2SarseNeKMkba/C2UXKDpVClfDW9Dck6sr6E7p9fhKhUMqqJqNijnjqXXLUMNCFGzT5Tz+cooH5Lq6elZSOCy+FZ75S0i9LBWO2g2XMPqIjPXWrVqMt7EekOAwu2hSt7CL+kVnj7xajk+I6xwEEZYyiSrZljs3HGb8WfmZVbLhVXLvYaxMDlfw7GcHXUg41X768Y9/nF//9V8v3/7DH/4wR48e5Q//8A/Zs2cPX/va1/jqV7/KH//xH5+zNZ7zkdJ3vOMdjI+P81d/9VcMDQ2xbNkyfv7znzN79rk79V4I6P++nERbrruMQE/XeV7NmUHZdtlj42xnfbwamrtkp3zmiuTh/5Eo77pLN+BpntA3RJ5/GTORwhOqp+GS5UR2HiEfSeAOVNG0diHH/vTbAHReuohnviv/bpzXwnh/BE3T0DwuseRuqyWdylHMm3ir3LTObuSZx2VjaW6vn9EaC/kiP/ianAx/+0/eyi+/K1WKZWu72fngbhqbApiJFKF6H2SyBGu9kE5BvoDPYwMKj8fGrZlgW3jqDVAKl6cIto3mTGpoBae60DgXNfo8uBvRmm+kOPpFVKEfjDpcDXdNs0KHODp9V2UXytMfWnU3KirVN6XXQCEJ7gB2WPQXeucqzJ9Jpci0vaAU7q5uMgePokwTb0eHuGg+8K+AZH3Ic9gc+J5ck57br5jRdZwpig6pME4Q7HamyA6FSR3qA12jvoJJRe83fwy2on7dsoq1FwcYdaz369csg6neba8bnGo/HRoamuRZ0dPTw89//nM+9rGP8R//8R+0t7fz+c9//pyNk8KvgFQA/O7v/i6/+7u/+6t4qgsCxXiyHJLU9Y4zC0K6EJA6cJRiLIlR7Tvnpj5GtZT+bScC/XSRePElIr98FDSN1ne/Y9L3SlkfzddsRDMMBp+UsnXrZctIDERIj8QwPC58oVpS4QSGx0W+KNqOtkWtDDqmVz0rOjm6R0ygZi1sRdd1xkdFt1Cy5z4VHr73eSJjCZrb6rlk82I+9/5vAZBxJkqaWgKEE0m8usJEYaUyVLuETFRVgctyWh+1gGZjkEZ3m2Cm0WsNwEZrWwb5XShPPaSkmqB3vQ87uxMrJvHqnvY/QTMCUxdYqlCUKhbZfmmdGH4UPkhJ2BlpWa/Wth7rqBAj5aoD28JomU3+sFR5qlauJ/a06CfqNm0kdfAoyf1H0FwGLW8SUjH87E6SR4Zw+X303L55RtdxpjBToldx15zlTBknWK9uxSI8dZUpKC/EEuVMop4P3HmeV3PmsE2ToQdETN5y3WXwufO8oHOMk+2n3/jGN6Z87corr2Tr1q3neFUTqEynlgscgz99DDtfpGZBT0VPfUSedzQhq5ecc3tx3QkSszLZ076vnctx9F/EBbL5LbfhXzThCGjlC+Vk1dLJuGTN3bZ5BQOOnqJ11RwGdgjDb18xi76SMHNdT1mk2b2ik6N7nYjzxXKqi4SFVDQ0zYxUfP+rIph82/uu4fEfbcUybXoWtXJ4Wz+aDtG+MVwaFFI5qqt0QOH3G7h0GwqFCfdMPY/bUwRl42qUa2fUOG0IpwSsdVwOmUNgBNA6fg0z+jO5Xd0tGP61U9YmF1NIhVbSVmQcElHVjVZqfVR3ocKOYDO0HDUqqnsrKkTDvWgD2e3SNjs+6rzuso0MObHaoU0Thlf7vyUTFHPuuAJ34Oxu/sUSqQic3bJ4+El5TU3nuIJ3LhHfsRdlWvh7OqlfXbleQJEtOyhG47jrgxeNuy4AXCQVZxlKKQbvFWFMx9tuqNiZb6VU2fDqbCeSTgfDiTy3zqBSMfy9H1AYGsbd3ET7b/76pO9Fnn8ZK53F29RA7fIFZMdiRHf3AkIqjm0RPUXnxoUcfU40DbMumUOvY3rVs2b2caSio5z5MXuRzHdHwjIC2th06tPqob0DvPj0HgxD5y2/dhXf/1chGF2zRNcwf3kHZt50EkkhEHBhaAryeXxuqVa4DQuP2wTbxl0jpMPQkmLLXQiLc2TS2fC9QjK0trcDFnZKNnpX3S0nXKMqVyocDUJGKg5a9RxURHrvNKzCHtzi3EGIgd6yiMLBV5x/z8MMD4PLhWm7sFIpXHW1VC2Yz/ADE+PJALH9/Qw/uxNN15j/rjed8hqeLoqOf0YpAv1soBBLENsmXh3nui14LlGeTltZuUJygGM/FlLaesPlFZ2t9HrBRVJxlpE5OkimbwjN7TqnI5jnGtGtu0gfOYZR5aXtprPb554Orlo56Zvx+Gndz0ylGLn7HgC6PvyhMjkpIfyElP+brtqApuuMPCtjZ/WLZ+NtCDLghIh1bFhA7xYhFbPXz+OoU7XoXNZJ/15HmLmikz5HpDl7iZCKVFI2rZrak6e2KqX41099D4ArblzNvud7Ge2PUBcKMLxPnDrdSiY8XJaFoSnMZAafWyoTPq8QCiwTb0BD02wMO4PuKYKZw6iVTVNrmw9WFlW7CJUUEqC33IYZ+zlgovkWoft6TrxQS2zJNV1aIyojwlWteg5qzJn2qFkI8cOAhh2LynN0rMI6JsLMopPw6lu8ktizpSrFpURf2DkxuugYXu38r3vkOl93CYHOyT4fZwOFuOSpeGqnafWcIYYffBJl2dQs7KG687UbdJ0vlCqR9WuWnueVnDmi23Yz/vRWNEOn446zT0ov4vRxkVScZYw51sP1a5fi8p/dUu6vEiVTn9Ybr8AVOLsx59PB7UwBFMfGT+t+4Xt/gp3O4OueTd3lk70ClGUx9pSTHumcKIeflVN862XLiR4eJjuexPC68YXqiPWPo+ka7tpqCpkCvoAX01JYRQt/bRUN7XX0OVbd3U6lIpuSUKCq6pMLAR/68XM88tMXcLkMfu/P7+SHn3fizm9aQXQoTqDGy/C+YTy6hpkrEPCL94S/Wset21As4q0CTVO4VE6EmSjcDfK8ul8qYrrLIQXtm8DOycRGYDGmo6Vw1Z/cVEpZDqlzCclTGceuu3oujEl1Qin5vdYal2AdFeKi3OIrYXQsILtLrnH1qvXEnhJtUf2Vmxl1Jolarr0U3e0mtr+fgUdeAk1j6YfPjtnVq5GPSUvGewrSN1MopRj6iSgB226t3GmJfDhC6uBR0LSKbRkopTj47yKsbr/tWvyzO87zii4CLpKKs45SBHJo0wl61hWA/FiUsON42PHW609x67MDd4NsSsVIdMb3sbJZRn54DwBt73nnFCvmxO6DFKMJXIFq6lYvRtm25H0ArZcuZfB5qVK0rZ7DsW298u9lXQw51YhZK2dxtNTuWN7BaF+EQq6I2+uiZbaMkGYy0i6o8p+YVMTGk/ztH30dgA/+0e0U4kX2bT2Kx+cWu22gc648XktHEFD43ODSFCqXL099uLQibpfoKDxBF2g2uh2T1kd+FDwuyA2CUYVyjK+0lluxU8+AOQ5GHUbNyYWQypJ2jmYExXkv7ZAKowayQ6C5UAkhflrzauxhaQOYUSEz7gXryO0SUZiqbsSMxTFqaggsXzaF4B25V8Z8O69bS+3cc7Mh5GOyLk/d2alUJPcdIXXwqJioVbLh1XMiVg4unlOxQtN8OEJi1wE0Q6fng9NNMl3E+cBFUnEWYaYzxF8W4V9oU+Xa3Q4/8ATKsqhdvoCa+d2/kud0h2RTtVIprOzMxJqjP/wxViKBt6OD+iunGiaNPuZYD1+6Gt3lInbgGLnxBIbPQ+PKefQ9LRtix4aFHH2h5E8xl95t0vqYvWoWR1+RccnZyzrK/hRd81swnICqQk5K/d6TmCt9+bP3EAnHmbuok9/6kzv48RceA+C6d65n24OyhvRQDFBYyQxuXWFl82Whptdt4zZkhNRXo6NpNrqVwvAWRKjZJFUevckZCey6BWLy2rWmN2OOfx8AV93NaPrJ/RqUGZP7GbWQHwYrDZqBSjm23fXLUcNSjVN6ndy2eT7FA7JJKW89qlDACLWQOizOnnWXbiCx98gEwVuzBNu06HtAKh/dt5y7zbnU/vCeJVIxcI/opUJXXDIpWbXSMOYITRs2rDq/C3kNSO5x7PS7O/A21p3fxVxEGRdJxVlEfOcBlGXja2uiqr1ybchL5kStN557LUUJrkAAV10dALn+Y6e8feLFlyaSSH/tnVPSTW3TZOjnYvtcslAuVSma1i5E0/Wyk+aszYvpe0GmHGZdMpc+R08xa9Usju6UzbR7RSfHDkjro2vBxM+2VKHIZo5zoDwO0bFEeeLj/37m18gkcjzzU9mA5y9uJ5vM0RDyk4llCAZ9FLMF/H4XoKhyK9y6BaaJt8rRUVjZcuvDVesB1ETLA6d1URMCZUJwFbbVj8ofBL36lK0PAMwxeSxXIyot14fqOWjjzkhaw1rUiPzbTsqGrbevwhrtA90gPyqVJv/ay0g8L+QjuOESRh+V36nQ5rXoLhfDT79CbiyOt76G1k3nzuchNy7XxNc4s+mck6EQSzDsTK90vv3G1/x45wuFaJyxp+RnWMm6r9h2cdCsZMfi1yMukoqziPjLoqauq2A1dW44TGL3QdA0mq5a/yt9bt/sWbKGo30nvV1+cJDDf/P3YNs03ng9DW+6dsptxp/eSjEax9NQW46dLwWItV62jNGdRykks3hrqwl0NhHeL6Oircu6GHS8KGav7DquUtHO8FEp+7d1T7hQBpzxzZJg89X49n/eTzaTZ8nqOWy6biUPf+95zKLFwjWz2fGQVCmaW+QUHWrxAwqPbuPWbex8HskcUrgo4HELmfDUup3WRwLNbUEhAtVVYCZQnnpUWjYMre3tmGPfAMDVcFc5NOxEUMpCmRG5r6sREo4ld2BxWaSJKwR2EaqbsfqEpClNyueunuVktsoJ2D13Cbm+ftB1atasKhPV5msuBeDwPTIFMvvNl2G4z41i38zmMdOieTkbpGL8mW3Y+SKBebMr+j0+8tDTKMuiZvFcAnNnne/lnDGiJVKxcvF5XslFHI+LpOIsQdl2udxeW8G/5OX0yJWLyhbKvypUdYsrXHrPvhPexs7nOfiXf42VTOFfvJBZH/29acd2S3kGkqzqIjeeILxVphM6r1lL/9PygdS5cSED22V8tKG7ifhoEqtoEWjwYwPpeBbDpdOxoJWRPiEVrbMnLLkDjqlSKj51FDYZz/A/X3wQgA/98VsAuP+bIlzccN0Sdj15AN3QiPaPo6FID0Zw6wo7X8RfLUJNj2FJcJiy8QYMaX2YCQyvEAyj0RnpbJLNQWu7DLJ9YPixfVWo4gi4GnE13HHyiw9gxQAb0MHVgEq+7LzIZRCV6gpOa0prWYs9KtfTHHcmQFoXYEXCaL4qcvG8c9clZPqGyY+OY1T7aNiwktx4gsEntgMnz/mwihYH73+JxLGxU699GuTGRR9i+Dy4zsJIaSnLp3HTmsoeFXfSettuvvL8LuY1wExnSe6T6mLd6sr9vH094iKpOEsYf2Yb6UP9GP4qWq7ZeOo7XKAYd4SmTVdt+JU/d+2GdQCMPfAQ+cGhaW8z/L0fkDvSi6uhnjmf+otJoWElFKJxIo69eLuj0B98YjsoRf3i2fjbQ/Q7/hRdly6m/0X5cOpa1zPR+lg5i75dsoaOBS24vS7Cx2TzbO6cSNBsapN/79p+ZNIabNvm7//kGyTjGeYs7ODaW9exf1sfvXuG8PjcpIZlw1u0pgszb9LUEsA2beoaqwCFRzPxOK0PX7n1kcHlFQ2Hq95pfSBr0ixpzSiPCD9FoPm0c9vb0fRTb6qqKM6huBoAHZWQa6gpL9gF8IawR4WMKZdUa/TWxRT2ye2sorSgqlasK6eS1m5YX85dCW1ei+H1cPjux1CmRcPSHurmd067ltjRUe5+z2d54A++zA/u/AdivSOnXP+rkRuLAVKleK0kQFlW2bK+krM+olt3iaOp20Xr9WfXvfRXifEt28FWVHW04GsJnfL25wJmJv+a/7wecdEp5Cyh73systfxljdVrIDLyuXLhji/CsOrVyO4/hJqVq0kuX0HfZ//T+Z95q8mbQa5/mMMf+8HAMz6yO/gCU0f4jX66HPiI7BoTjnPYMix5m6/ajVmrsDwNiEBHRsX8uK9khnStXYOe1+QqsXsVbPocyY/upbIY4wNSX8+1F5Xfq4b37qR//nCAzx497N84v+9j+qAD6UUn/njb3Dvd55A1zX+6G/fg67r/O8/y5jupTcu4/mfyHp8hry+Ko9OBoVeyGPoNqpoUl2jo5kKQ5VaH+ANusCSaoXuLcrYaF0zFMOoqhCk5DSttd6KPfRJAIzgVTO6/nZBXq/uboVcPxSjoLlRGQlTI7QetUsIgp2W9WihRahXHkPz+ckdFS2Mb8lqBv9DRv2C69ex//f+BhCNjlUolnM+5r97qq+AUoo9dz/Lk3/zvxSdD91sJMm9v/l53vbd/0ugpW7KfU6ErKPvqGqa+X1OhEmTRKsq92Tc+7UfAtBx+7UV+zkFMOIQ1eZrLz1va7j3uo9SbZx5UF3GKpzF1Vw4uFipOAtIHjhK9MWdaIZO152VK+CK7diLXSjibWqgevavPlxI0zRm/cFH0NwuEi+8SPRx6btb6TQDX/smu3/7I6hCgZpVK6m74sSnrJGHJeujJEKzCkWGHdOr9stXMrTtMHbRxN9cS01nIwM7hEh0remhb4dMLHSt7GKgNO2xuA2zaBEfE0FkQ+vECN7qSxcye14r2XSeB3+8BaUUn/vz7/DdLz2Epmn87Zd+lytvXMO+rUd5/O6taJrGvEXt5NMF2uc10f9KP4amyIzG8bolqrvU+nCpwkTro8ZA1y00M4VRJSZZer14L+gNclLTmpcDNlrdRiyzX25TtRTdPTPRsMo77pneWeUqBTVL0MYdJ82qWZCPgzuAdUxaVJYlQlXX/LXk9jnjpfgkQKyzg8xwlGI0UbZQ7nvweXJjcXxNdXTdMFmzY+aLPPgHX+aRT/w3xUye9vXzufOHH6d2dhPJgXF+8sF/I5+YueNq1rFQ983QQv1kCD8potPSJFElItM3RPSlXWgug9nvfcv5Xs4Zo5hMM/aMIzR9U+VWW16vqMx3xwWGYz+4H5CWga/17LsC/qoQcWbXG9avOG89Y19XJ63vfidD3/w2/f/2n9iZLIPf+G+K4yIg9C9bwuw/+dgJ15cfi5YtlJudrI/wS/swMzl8oVrqF89m/79KkmbHhoWMHRimmCngCfio7WyY8KhY0cWxzzwAQOeiVqKjCZRSGC6d2tDEeKKmabzl167iXz/1Pb7+Lz+h79Aw3/hXqVp98t8+xK3vFM3A1z51LyBjpCWB5vwV7ezsD9PaWoMVTdDYEqAwFsWN6bhnWvhqdTTLxjAzuKqkOuCu80IxiU5M1pDrBUDpMo2htd6BlZCgKCN49aTrY5nH0I1mNG3qCcvOy4ie7p2HGnPEnsFVqH6pOuAcrLTm1ahtr4CmYw7K9aKmHeyXcbd1kdwphKPuso0M3z8xgaMZBvu/Jdd0/ruumyLQfOlLD3Dwga3oLp0NH72N1R+4Ht3Quf2rH+WH7/pHxvcP8NAffZVbv/x/pqx9OpTaH1Whuhnd/kRQSpXzY0KXr3tNj3U+EdshravaZQvOW8vgbGD0l8+iiib+OV0E5p0/oentD/8rweCZe3wkEglo++5ZXNGFgYuVitcI27TKAs1flVHUuYCVL0yEPZ3nD87Wd95J1dw5mLE4Rz/3LxTHI3g72pn76b9g4b98Fm/LiU/e4SdfBKUILp1PVZsQvOFnxOGxbdMKNF1n8MUJa+6S6VXHylkM7R/GtmxqQgFqW4MMHZSyf/v8ZqJOimhdqAb9VSZbd7z3KmobAhzeN8CXP3sPAH/y9+/l7e8TPcfBHf28+Ms96IbOdXeu4+jOAVwenfGDI4gtt4mGwowl8ei2hDz5dTQUupUrtz48NTqabqMVx9F9JthFtIYmseUOdkvLQnOhArNljFRzY9RMjAUXCi+STn2eXOZHU66bUgo7J0ZXum8uKuEIM71dkDkGmo4dkYqO8og1td66mOJhubbFhLQqfCvWEd8iYt/AypWEH5d/t910JSPP7iK2rx9XlZe5b7tq0vOPHxjkpS8K4bj2M7/B2t+6Ed3xAgl2hbjtK7+PpmscfWLXjPUV2XBM1vQa2x+pA71kegfQ3C4aL139mh7rfCL6ovysKnlyxS4W6f3vHwPQ9uarz6tg1lXtfc1/Xo+4SCpeI+I79mImUrhrayp6tGn04WcoRhN4WxoJbT6/pEL3eFj4T/9I7aUiFq2/8nIWf/E/qNt82Sk/REqR1MenR5ZIRetlyzDzRYZ39ALQccn8MqnoXN1DvxMc1rWii+hQgnymgG7oNHeHSIxL6+P4KkUJoZY6vvvo3zB/SRcAG69eznt/byLy/of/JhqCK+9Yw54nhdAs2TiXoX3D+Hwu8okM1dUGtmkRrPWgoTCsvNP6UPjKrY8MRpUJgFEv/XAtIB9MWvMy+bt+M1ZSbKSNmivQSnbbyiKfE+OmYnEHtp2c9BqUGQYrDhjg7oSUVFO0ohAaapehBmQs1E47JYuaWRJ13tpDZtcu52tNWOk07sYGUkMx7IKMYNYsmsPRn0sEevdtmyaZUdmWzSOf+G/sokX31StYcOvUUebQok5mbZYkzb33PDfl+9MhMyLVreqWhlPc8uQY+rmQ7aYrLsFdc+4t688FlG0z7mR9NGxYeZ5Xc+YYuPeX5AZH8YTq6Xxb5R7iXs+4SCpeI0qBVWLqY5zi1hcmlFL0/+/PAeh8240XxOswAn7m/vUnWf69b9HzFx/HqDr19IKZzhJ5UbwVStWW7GiU+MFjoGm0bFzKyMu92EWT6qYgtbObObZNTt+dq2fT/4pDKpZ3MnRIqhTN3Y243AbxEqlonN6ZcdbcVr7z6F/zz9/5Qz7/vT8qk5/wYIxHfiBE560fuYanfyhtBZ+uAOjoEbFpbcnIqpjDY0gKqS9goGs2upnB5RUy4QqK3kJTETBAyw+ApqNsJzMldDVWUjZBV/2t5fUVCy+h7JIFuk2x8OKk9SunSqF5Z6Nle2Xaw1WLijk23YG5kIuA2491zIk6d6w5jFnLscZH0TweUn1y3eou31R2bWy57jKsfJFjj8hEyKybJovrdnzzl4y83Isn4OOqT7/rhMRxwW1CMnsfe2Xa778aJaFmdcuZj0bbpsnwgyIKbLupckcwU4f6KEbjGFVeapcvON/LOSMoy6L3G3cD0PP+t2H4Xp8n/UrHRVLxGlHK+miq4AjkxO6DJPcfQfe66bh9qpHU+YKmaXiaQjMucUaefxlVNKnqbMHfI6OKw46LZsOSbrx1AYac1kf72nnkkznGDkkpvWNVN/2vOCLN5Z3l1kfbXGmhlEhFsPHEJ9Vqv4833b6e6uM8Ee770uNYps2KzfMpxHPERhLU1FdzdGsvoCiMJ9A1RSGaxOuS1ke13/GjKGZwH9/6MCw0M4FeZYNdQHMcSFXrZsj2gubGdpugimjeeWg+KXNbVph8TloLuiHVlGJh+6S1T9f60GqWw7gQAyzRYGhNq1GxQTDcFPpk/Nay5fX6lqwutz6C69eXy+2hKy5h6IntmOkc1W2NhFbOLT/v8PbDbPmX+wDY9GdvJ3ASAtCyohuA6OFhySU5CZRSZEec6Y/mMycV489soxiNi9B0Y+We8MefFbFt3eol6O4TW8pfyEgfHaQwFkX3eWm/rXLD3F7vuEgqXgNyo+Nkj42ArlG/btn5Xs4ZY+QX4mfQdOX6yh4z+6VMfYQ2rysTkdHnRZzWslHinQdfEjFi27r5DL7cB0pR19lAVV11WaTZuayT4SNiuNQ6R0hFNiWaAX9w5smzZtHi/m/Kmu74nau4/wtSQZi/vB0zb9LW3UguniHgF8FiXUOVtD7MnGR9AL5gqfWRnmh9NIg4TKtyNoegI7prvBIz/jMAXA13oGkath0lk/oySqXQ9TaqqsQES6nJEfNlUuGdj0o4plc1yyAim5Edk2ujXHI99Nal2GODYLjIHRXXUS3UgZVM4WqoJxfLYheKVHW14e/pLIeHzb750nLwW2okxs9+57+w8kV6rlnBkrefPAOkpk3IgZUvkoulT3rbQiKNmXXC3l5D+6P/f+V6tr/56oqd+gBx0YTKPvyUHItrl86rWGL0RsBFUvEaEHc8HWrmd+PyV5/n1ZwZlG2Xcxlarqvc1MVCLDFJFAhyWh1xSEXz+sXYls3wdjG6alszl4GXpfXRsWo2IwdHMfMmXr+XxlkNjDqkoqVHNuwSqThZGumr8cQ9W4mOJqhvDtIxK8SOX+5B0zWKSRmLbGgUguKvNtBQ2KmktD6UoqrGha5b6MVS60PhCuig2WjmiLQ+imMozQVZmbZQdfPBiqO5WzCCV2HbadKpL6FUDF1vpjrwITS9xrk2uUmn/dLkh3Z8pYIqaYP4mlFDQi4sx45c+USs6epZQe6AXONcQqoq9ZsvK/8smq/ZSHY0yvAz0rI43kFz21cfIhtJElrUyZs++5unrEgZHjfeOqkUZcLxk942MyTtIG9DEJfvzLwE0keOyQimodP59hvO6DEuBKQOHiV18Ciay6D56so15os5YY21F7M+LmhcJBWvAeURrQpWUyd2HSA/Mo5RXVXRAq7hnz+OKprULJ5LzcIeAFJ9I2RHIuhuF6GV84gcGKSQzOKu9hJa2MGxrb2AtD4Gdstpu31xG7quM9Irm1JLt2gesmmHVARmRipSsQxf+LhMWdzygc387D9EPLnmukUM7h7EcGmM7x/C0BTFRJoqjwJbEQi60TQbrZDB45bKhCeooxk2mpVCr1KgTLT6ZnmiljVQjIC7AVuJI6ZRdzOa5qKQfxplj6Pp9VQHPoiuB9C0UqXFpjQjqsyYEySmoblaICMEQ6Ude+yaxeJP4anB6pPfeTMhmRoEWsG2cc+aS2K7tJpqVq9m7BkhIc1Xb6T3J0+jbEXT2oXUzJLJnVw8ze4fyOn50j+6A88MbbT9judEeoakwt82vUHaTFBqGdRfsryiR8WHHxS/l9CmNRVdiSwd4ip5euWNgIuk4gxh5fKM/FLU7PWrl57n1Zw5SlkfTZevw/CeuTvc+cbgz2TTbr9tQhMy+oLjDrpiLq4qL8PbpErRsrIHzdDp3ypmT11resohYh1L2lFKMeqEh5UqFTmHVHirZnaNvvX3P2d8KE7n/Gauf+cGnr1HNqjWNtkUZy9owSqYNLTIybvGmfrQ8hmpVoBMfRgWWjGN4XNaH3VCCvRqpxRf7VTImm/CzkjbwqjZjFI2xaIjCvXdgO7ElMNE2VgpIRXlKoW7DdKHAAXeNhhzxJxOYBgNyyAbB28NxcOiTSlEperimbeUYngMzeslnzaxc3l8bU34587i0I8eA6Dn9gmjou1fe5hiJk/jgg5mXb5kRtcUoDoka8mOJU96u/Sg/PyqXwupcHxbGtdXLtm2cvly1kfLDSfOWbnQkR0cITsgrebaZfPP93Iu4iS4SCrOEEM/e4xiNIGvtYnQ5WvP93LOGJHnnQ/OzZX7GlKH+kgf6kdzuyZFOQ89JZts83oZ9R1wRJpta+YSOxYhM55Cdxu0Lu1kcK+QivZF7aSiGXJOuyPUJf1425ZWQck74WQYPjrOvV8U/cTv/eNdPPX9F1G2YvGmuex/SkK49Hweyfiw0DUbO5nC67Imj5AWM7h8pakPF+g2mhkGA8gPoQwXZEULoWp7AAvNOwfd04llHkHZEcCLy3283scs/0vThGDYOcf0yjcXynqK5RB2RkgTMpqJQ0y0lqWoXAYtUE9mjxA30xayFVy7mpFHZeSz5frNDD6+jczgOJ66AF03yPRGajjK9m9IHPyGj956Wl4DHqf9VDxFbkJ6UKo2/vYzM3ky01miW6Xy0rhpzRk9xoWAoZ8+RiESx9faVNF6ilLKbf3qJbgClTnW+0bBRVJxBrBNi77/EVfGWe++tWIFXPnxKKkDR0HTKjokqZQD0Hjp6rKPgJUvMPysTB+0X7kKpRQDz0lPtmPDgrI1d+viDtw+N0MlUrG4jXCfbKJ1LUE8Ptl4S/qDmex/X/v0fRQLJmuuWsjqqxby6LekorX6qoVEjkWoqnYTPzaO262Tj6YoFT8CdaXWR9ZpfSg8fu24qQ+x59aaJM2VpiWABbVrsfOyuRtB0ZMUC04EuWfVJPdMpXLHrVS+rsp6inmopKOnMOrByoC3ETUkXzMjMbk9Mlarty1A5XIYjc0k9kgVqGbVKsYdC+XW6zez/9vijTHvzqvL2oYt/3ofZq5I29p59Fx7elUAV5VDKrKnIBUDDqnoODNSEXluhzNJ1FrOj6k02KbF0W+Lk+usX7utYj+nAEYfkfdQ8zXnL+vjImaGi6TiDBB+dAvZgRHcdTUVPdoUeV7EczULuvHUnbnd7PmEUqqc9dH6pgmh6egLe7FyBaqa66lfNJvY4REy4QSGx0XrqjnluPOOlbPJpXKM9wuRaFvYRtiJOG+addzUgKNpPNWp+uCOfn75v9JS+tDf3MFL9+8kOpygriVI5Ijj0Dlbphhau+XvQMCFrtmQTuFxWcBxrQ8zg1EtyaNGUDZU3eNUG7yO8VXTddgZ2fiNmitRdpZiUX62bs+rTqeqtBl70TR5+5crFd65E5MfORmhJbgMCknwBLEHnJbHsGgtLMsZJV22lsz+g6Bp5PMKZVoE5s2mULAZ27Yf3WUw7y55n4T39LP3x3Lq3PSnbzttR0R3dalScfIwptSArNHfcWZaiNKoeGjz2oqNOU/uOUhuOIwr6Kf9lqtPfYcLFNnBURK7D4GunZf05Is4PVwkFWeAUo+y8203VLQBS+mDs+GSFed5JWeO1IFesgMj6D4voeNaOIOlVNIrVqJpGgMvSNuhddUcXF43g6+Ix0L7ylkM7xevipqmGgINfsaciPPGzgl/A8MlbxWzaJ10Pd/93IMAXP32dSxYPZtHv+VsoG9dzbafbAMUxUgCUJjRBIZmY6cz+NxCHKqCruNaH/JcrhpDWh9WxGl9DKJcXiiIWZftdQM2mm8BuqeNfP5RoIiut2I4vhQlKCUaiJJgU9k5VMEZCdWCkB8CdFR0n3MPR9hXuxAsE622A2tAqlvZo5Jqaumi6/AvXsToo6LDaL3hco7+VE6XHdeupaq5Hqto8cj/9y1Qivk3r6N1Zc9Jr+V0cHmlcmQViie8jVKK9DGpVATOgFTYhWI566Pp8sptGUSdDJy6VUsq+nOq77uSpVO/Zhnexrrzu5iLOCUukorTRDGZLrs2VnJCXm50nLDT+26+rnJLiuHH5cO/ccOKSa6b5byPzUKYhhx/ivZ187Btm6GdsiG3L5fMD4C2hTImGRmMyWN21JUfz18rG2c6kT3hWoaPjvPEj6X0/64/uoHIUJyXH5W2hM+lYRYsuha0kI1lCAS9FFNZAjWySVbXONWKXBqPR9oc5dZHMY7uE9Khh9rkyZqlbaCCq7BSMkXhqr0B24pQyIva31t145RTtm0nACZGS/NHABuMekgfdl7sfLQxua52XDZnpRwn0WA3AEb7AsxwGM3tIXVYWkfVy5YRf2UfmqHTcsNm+h+U36/ZN8vv1/6fPk94Vx/e2mo2f+LOE17Hk8J5OSczv8pHEpiZHGga/s7TJxXjz27DTKbxNtVTt6pyJw1KlchKbm3mRscZuEdaaN2/ccd5Xs1FzAQXScVpYuyplyTwqacTf3fH+V7OGePYjx5EWRZ1qxYTXDT31He4QBF+spQeOXGiTB0bJdU3InP5l4hIc/AlR6S5bh6R3jEKqRwun5vQvBZGDkilom2BkIrxQRlXbGyvKz9mwJm6SMWnJxWZZI6/+Y2vYNuKNVcvYu6KTh7+uoxSLtjQw/afbpd1Novmo6FJSEp1lSZkIpPG7XZaHwF9auvDeX7N5UR/OydPreESVKEPNC9G8GpyufsBC8M1D5drahaNUjI1oTsTHZOcNGNCAjRvJ1g58IYm9BRhuUZmRtaj/DIa6l24jOROOREX8rLjN2xYSaIvTDYcw11TTetlIhTd+V1JLF39gevLo6GnjRJJOomhZqpf2kzVrQ0YntM3SSqNYLZcvxnNOP+W9WcCK5cvm0U1rKtcUtH7zR+jiiZ1qxdXtMHgGwkXScVpIuwkkjZdXbm9PStfYODHwv673vnm87yaM0d2KExqfy/o2qTWR6lKEVo5D3egiuRQhORABM3QaV01hyGn9dG6uAPDZZQrFa0OqYgMxABoOJ5U1MqmnoxOdXJUSvG37/8ae17opaa+mt/7f3eRGEvxs/+UMddlG3uIDcYINPgJ7xlAQ5EdHsfQbMx4aqL1UfPq1ofCFdAcw6tx0VWaCZSnDrIyDmu7RCNh1FyBrcYxizsADZ/vlmm1ABOVihKpmJj8UFFp1WA69wsuATMLvgZUWDJGikd6AchHhNyoQBPYNlXz5hJ5yTEau3ojfffLY3VeuxbD42Z0Vx8jO46guw2WvG1iQud0oemyNmXbJ7xN0iEVga7m0378YiLF2FPSFmyt4BHM+Mv7sAtFvE31VFfo4cfK5hi8T8L45nzoHRectqWYyb/mP69HVK4c+DxA2TbRbTJmFtpUuSOY489uw0yk8DY30nSeY85fC0pTBrXLF04Smo48JyfnkjV3yZ8itKgTj99Xbn20LRO9wchBOYW3zpPTd2xENt76lonHbHZGSwcOhaes44H/fpYt97+C2+viMz/+CN2L2/jeX/+UfLrAnFVdjB0U0rL40jn0PryDugYfKpOivsUP8QL+gIGWsyGXweMrtT50NGWhmUl0vwJs9LpGIILWuhZV3I0KLMHKSKXGqLuJQkE2Q5d7JYZr+okFZccA0HWpFJQ9KoxmyDjjqbFeNEBZTh8+MBc4gNY4FzU6hhZsJHdQrml6UPQngdWrGfrGA6Br1K1bzpZ/+AEw0frY9tWHAJh3w5qy18SZQJlOG+gkoXfJXmnHlIy2TgeDP3m0nKwamN99Rmu8EFByyW3YuOqC24xnisTuQ6iiibe5kfo1F54X0Nc2/ylVxpl7+2Stk4uNKxUXKxWngfThfsxEGqPKS83COed7OWeMUtZHy3WXVWx5F2DofieS+riodmXbjL7g5H1sEFOloa2ycbaulp/Z0C4JDmtd2kkxbzJWMrqa34xSitiokIra40jFnGVy2ju6Z2iSWHP0WIT/+jPZQN/357ey+JIe0vEMD35ZSug3fHAzux+R9dgJqXLUBNyAwm3nMTQblc04OorS1IftZH2UWh/SMtFcjgNm6e+GxaAK5fAwsyiE1+05sa+C7SSV6no9SpmOpgK0nONQ6V+I5pheqahsznZBzh7KEOGq3jIfbBtXWxfJXSKANZUQkLpVSwhvP0QxmaW6vZHmSxYR7wtz8H4hPKs/+Nriqq2iTL7o7pOQiqNC4mq6207rsZVlcexHErzW+fapepRKgW2aZV+HSrbej7/i2HJXaKrqGxUXKxWngeh2x5Z7+cILIh78TGBmsuXybsv1lfuBkzzQS2LnATTDoPXmK8pfj+3vpxBP4/L7aFgq0wXlvI/Vc1FKMbyrVKnoJHwkjLIVvhofweYguVSeQlYmC+qaJiyNW2c3Ul3jI5PM0b9/mJ6lHSil+Nzvfpt0Isfi9T3c+dHrAHjwy0+STeboXNRKPpJE2YruFZ30vXAIHUV2NIpbV5jJDIFqDRQSc16w0AppXH4n66NGA8tGM0flnWqlUJ7ghOGVkYMiuGqvRdkDKJUAPLhc80543UqkQtMbUPk+UEXQq1EJqe5ovm6wHgNPA+qYtJHMQSFhxXBM/s7JZquHOmHvLqoXLiCytdT62MChe4RQ9dx+OZqus+1rv0DZilmXL6Vp8eRplNOFVXCcRU+ilUj2lkhF62k9dnT7HnKDo7hq/LTeWLmtj+iLOynGk7jrg9SvrVwdQvwVIay1yxee55VMj9986h8IBs+86pZIJPiTtq+fxRVdGLhIKk4DsfKI1lQBXKVg/Omt2PkCVV1tFV1tGbzvEQCarlqPt3Fi9LOUStq0ZgG6y8DMFRjb41QmVvWQGIqRjWXQXTpN89vY+bCc7lvmNqNpGvGwCBm9fg++43I+dF1nzrIOdj57iA+u/xvaekIMOaFjHp+bP/3ir2MYOsW8WU4jvf1j1/HYv4tzZFNLgPQ+Rfv8ELn+YRpa/NjRAtV+HdIW5LJ4q6Ra4QkYaLaNZqbQqxUoG72hGQijNS1B2UdRtWuxc447Z2AjhaLYgLvci9C06d/WSlnldFJdr8POyWlW986FIfHWKBtu+ueCGoeabhiNgTeAeWwUdBfZg6JJycalYhJYtZLBr90vd1s4l5G//T5oGj23bSY5GGHPj8RHZM2HXluVAo4nFdO/RtuySfVJOyt4mpWKyJbtgHhTVPIIZmnkvfnqjRV7+LFNi9grTirpsguzUuGu9pZ9U87o/mbl/o6dDBfbHzNEbnS8PLvesL5yfR1KIUlNV1xS0eXdkYelhdP25smmPuGtUjItTX2Ed/djmzbVoSA1HY0M75YqRWheK26fm/AR0Ug0zxNRXzLitCjqp1oBr79hoq9bIhQAH/z07XQ5Is/nf7KD5HiahvY6uhY0M7x/GLfXRXi3EBu3kioEmbR4VKRSeDzS5vAGSlkfKQyHYBh1MiareWwUoAxn+qRhOWCjeXvQ3C0UC6IvcbtP7FBp2xEkSMyNpgWxM9ucx+5xhJ8aKibtEFV0Pho8zsZcOwfQ0NvmYafT6ME6knvltoWC3LZ25SKOPvQSKEXrZcvwt4fY8i/3YhVM2i+ZT8f61745lMRt7hNksKQHwlj5IobXTfVpWnSPORqdxktXv7ZFnkdkB0fL7pMdt193nldz5ojv2IuZSOMKBqhZVLmHnzciLlYqZoij3763PNp0oTLnU0Epxfjz4pjYuHHV+V3Ma0Dk+VcoRhO464OTCJ6ybcJb5fTetEZKpiMvy8bXsqIbTdMYdtJIWxeLRmLEEV62zBFSkY7Jph2onxplf9dH30Tn3GYMt0FdqIa6phrqm2vwB6vKt3n460J2rvn1jTzt2HPPXd3F+LZD+OurSB4bw+tS2PkCwVo3FLL4/AZ6sdT6OM7wyrbRzDF5lxbHwVMNxVHQvdiG2G0bgU1Y5kGUSqJp1bjcJ66i2ba8Vt0Q7wYrLaRCt5yPAf9CtCMy3WSPieOoFZcpDzvnuG/qNcAIrlnzUf378LS1Mv68VHuartrAS//xMwDmv+s6xvYeY999UgHZ9KdvPysktkwqTpBqmjgshlw13W0zymkpITsUJn2oH3SNxgpO6+377k9Rlk3D+hXltN5KRPgJJ+hw89qKrba8UXGxUjED5MdjDN4rZeye97/9PK/mzJE62EdhLIru81Z0fPBIyUfg2ssmfeDEDw2InqLKS/2iWXLbHb1y2xXd8v89QipaHFIxeljGD5vmyEabjskm6q+bSircHhdXvnUtm29dxbJL59I5r3kSoTi2d5g9zxxCN3TW3bCU574vH4zVbtlMO+bLc9Q1VQMKn9tC1yzIZ/B6S60PHU13sj58UtXQGzvlCRqddMbQtcfZcm+iUBBhpdu9+oStDwDbkteu682ofC9YMdC8kJIqiuabJXkfnnqID4HuxhoScpHvl/tmnXHNoiPe9C9bRnJ/L5phUMRDMZkl0NVM26bl7Pr+k6AUc29YTcvy2Sdc1+mgmBYydaKo9PghWWft3NMboxx/emKSqFLjwc1UmsGfSFtw9q/dfp5Xc+ZQSpVN7S7aclcezimp+Nu//Vsuu+wyqqurqaurO5dPdU4x9LNHsfNFgkvnU1/B7nQRp0pRv2YJ+hmYAl0IsPKFsuFV6w2THU1LVYrGlfPQ3bLpjbzcC0jcOcDIXjnJti6RTSd82Gl/9MiGn3EcM6trJ8jCTPGjf5TJgTU3LGXHz3ZgFS161nUzsO0IoMgNjaGhUMkkLt3GTqfxOk8zbevDWYPmMcXrySV6AhXskakPdxvK3YBZFEGl23PyMWezKFMwLteccutDr14GCRHuUnCmWnyOmDI4T0ymajuhYKIFGjAjcTRfFfF9oqsoOG2ShvUrGHxK1tF9yybMvMn+n8jPacmd0zvP5hJZnv7Cwwy+0n+KKzuBQkpIhds/fT86cVBIRXDu6YWAhR+XCk0lj4pHt+7GzuWp6myp+M+p3HAY3eet6FbzGxXnlFQUCgXuvPNOfud3fudcPs05Rymwqv3WaypWhwAw+qiU4+vXVu4HTvSlnViZHN6mBoJL50/63sgWEdI2rZH2VDaSInFMtA/Ny2ZTyBYYdzQULYs7yCZzJMckOKupR/rvpckPb9Xpka5dTx3g2R9vQ9M1bv/YtTz9bfmdmbe8Hbto0dwdIhOOU+13SeBWnWgCfH4n5ryQnsj6qPWI4VUp66MwAm4fmBHQ3NhKXoMRvJpi4UnAwjDmYLg6T7g+pYpYllQdDNdcrIxYOOveBZAWt1EVEWGc7Xjy2LboSpTb0SYE2wEN95zFWIkkRjDI2Atyn9CVGxjeIm2QrhvXc/D+F8knMtR0NDJr09SWzLFtvXzh5n/gF5+5l6/f9S/l1NhTIRcXzYuvdvr469h+ISh1C2Y+ZZIfjxJ5SQhRy7WVa1lfimpvuGRFRX9O9X7jbgA6br+2ogWzb1ScU1Lx6U9/mo997GMsX165m1imb5DU/l40Q6e5gl00Yy/vkxFMt4vWGys3s6Qklg1dcQmaPvHraxVNRp6TD9XWTfL7NrpTNqra7ma8wWrC+4dAKfyhGgKhGsZ6hXAEGgNUOW2MEqnwnEAIOB0s0+Ibf/IjAK5732WE94+QjmZo6GwgckC8HoK1QlLqm/2AwqMK6JqNyqTweEWoWW59FKPo3lLrw3GFbHJGA+vXY2e2A6DXbKSQlwkOr+/kabmW2QtYaFoQTWvAdkiFVnLPrOpBG5cWgBqRioY9Imsvjsbk2kSlSmAqaT1ULVxIfjSCq8ZPNmujTIu6RbMJdrex83vSolr2zssn/Zxs2+ap//oFX3v7PxPrH0d36RQzBb7zvi8wdmjkpK9BKUW+RCrqppIKq1Ak4RhfnQ6pGP3lFrAVwaXzqeo4fcOsCwXRF4UYVfIYaWzHXmLbdqO5DGa957bzvZyLOANcUJqKfD5PIpGY9Od8Y+Rh53R/yfKK7bUC9H3nPgDabrxi0ghmJUHZNmOl9MgrJqdHjm8/gJnO4a2voWFJNwCjr/QC0LJM+vkje6T10bJISuNhh1Q0dU9MCRRyQirc3plrmB/++jP07xkiUF/NnZ+4mce+KhkXG962hr4XDqFpkDg8hIaiEB7HrdvYuRxev2zovhrdsedOoTvVCr1eArw0tzPj6RHtiArOBiw07zxMRoAiutGB4ZpctXk1TLPU+pgLhaNgJ0HzQdrRU7hbQNlQPRvyKYk6T6bAXY01HgOXh9xAGHSdxH6ZoCnaQpSar97IsYelhTLrxg2Ed09Yci9+64QldyaW5r/f9e88/Pf3YZs2S29dw0ef+hTtK2aRiaT41nv/g1zyxIFtxXQe23HU9E5TqUgcHkSZFu6aaqpaGqZ8/0QY+cVTQGX7thSicVIHhURfiO6TM0WpStF281X4mhvP82ou4kxwQZGKz3zmM9TW1pb/dHW9NqOcs4HxLdJ7br5q43leyZmjEI0z9pSI+bredct5Xs2ZI7n3MIVIHKO6ivo1SyZ9r1R6b710WflkXDK9KukpRvcLqWheKGOS446TZqh74sPLMp1N3TWzt4ZZMLn3X0TEe+fHbybaH2Fg1wAurwufoyFtnxvCLpo0dNQe1/pQ+Ko0IRP5NC6fkAe38z3djsrUhxlFuashL5u/pUQoadReg2mKJ4fbs/aU5W6pVIDhmoOdlROtXrUE4o6eIudkmricykjVLECD4GxAQ2uUv10dPRQjMfTqaqK7RFdRs2whoy9KG2TWDevZ+hWx5J57/epJlty/+Lt76d1yAJfXzW3/8G7e/m/vo7atnvd848PUdjYQH4iy66dbT/gaslHxEDG8bly+qe2pkkizbkHXjMv/qUN9xF/ZL8mq1555Jsn5xpgjNA3Mn42n4QzD2s4z8uFIeeR99nsrV2j6Rsdpk4pPfepTaJp20j8vvvjiGS3m4x//OPF4vPynv3/mAq5zASuXJ7Fb3AsrOSFv5OFnUJZNzeK5BOacf6J2pgg/Kb9XDRtWoLsnbyoTeR9CNpRSDO+QcdLW1ZLCOrpPSuPNC6VSERkQd8mGzolTreHYP1vFEwdWHY9n7t5KZDBGXUuQq9+7kS3fE8HfyhuXseNHMv3hdcljBap1QOGy8+j6q1ofQTeabqMVo2heE1QRrVY2B615FaBQtStQhSOAC6NmE5Ypr8/tOvkkj1IWliXvJcPVjZ0RAqb75kNS/q3GHSvxpFQHrbSQHDMlJMssyPW23UIS/EuXUhiPYfiriPZHAGhev5hiwSpbcq/9rRvLa+jfeoRt/ytVv/d848Oseeel5Y3f31jDJe8VB8uX7znxZ0dmTEhFdSg4LWlIHBLSGJwzc5HmsR89CEg7zRuqzAoeUPamaL66cg8/JQfNwPzZVHednnHZRVw4OG2fio985CO8853vPOlturu7z2gxXq8Xr/fCEebEd+5HmRbepoaK7rUOPyD97Uq2HrZNi6GfSupn86vGzAqJNNFdjh+Fk/cR6x0lH89geN2EFjrjo2VSIR9YUYdU1HdMbCYux6nROi7f40RQSnHfv0qK4k0fvhINeOHHsqF2zAnR98BWAg3VJHpH0DVF5tgIbt1G5fNU1ehggy/oQitYaIUkepW0XoyGIFhpNJ8LTFAeDXKggl1g7kUPbMBSYcBG10PoxslNnmxrCCiCVoWmhbCcSoVmuQAbPK1oqW2ge1DD8sFujQwBGsWhUUAj2yfXLnlYLLBNXTQooU1r6f2pbGg9t1/O1i8/hLIVs69aTmhRp/P8Nj/78+8DsOrOjfRcNtXnZflta3n47+/j6JaDxAYi1HVMbV9kxsQN9ESBZInDzuTHDEmFmc4w/IC0qjrfdsOM7nMhophMlye7KppUODkyleoDdBGC0yYVoVCIUOj0nOoqFSVb7vo1SytWTZ0dGCGx64CUdys4XGj8ma3kwxHc9cEpH5zhrftRtqJmdivVrdLKGHGqFM1LZ2F4XKQjKVJhOYU3zRdSUapU1B8Xce5y2h5m0eRUeOn+nRzbO0xVjZfr3n8ZOx54hWw8S117HceelwrXrOXtjD4Xp3l2PdbwMLVtAYhm8XpBy9touRQuZ4TUXecFM41OFAzQzAjKcEOuFwBbkxaFUbOJotP6OJnZVQmlqQ+XMQvMMJhjgAuSvc6LlnFa/PNA7YLqdhjNQE07hLNojV2oSBK9oZnCkRRGsJboLnlMb2cn6Xu34Q5UUbdkDnv/7DsArPvwTeXnf/qLDzO86xi+YBXX/dn04rva9nq6N8yjd8sBdv1kK5s+PNUNMluqVDROr22KO5WKmXpUjD2zDSuTo6qrraLFjeHHnkOZFv45Xfh7TjwBdKEj/rKQildPdV1EZeGcair6+vrYvn07fX19WJbF9u3b2b59O6lU6lw+7VlDxFFT1664MANtZoJSeFjdqsV4G+vO72JeA0p5Bm03XznFY6PUz29aN9EGKDlpNjumV+EDcsKu62zA63gcxIfl5FvXVle+n9+x506ET/47GhtJ8OWP/S8A171vE1U1Ph76/C8AWH3DMvpfPIxm6BQjcUDhKuYAhZ5LYeg2KpvG41MAeGvdMkJqxtA8Jlg5tBrnNB5aAtio4FJUsR/Q0atXU3QSSV2uydqS6WCZpdbHLOys3E/zzYOouH+W9BTKkokXpcn1sJVs3rYha1HVjYCGf8kSciPjGNU+RvdKdWDWjRvY99MXsIsWHesX0OYkwu5/ZBe//MefAnD9/3cHgdCJxc7zrhKCNOQEvr0a6bBTqWiaqhkwcwVSjjHXTD0qJizr11XsoUEpRf/3fw5UdiWyGE+S2C2jza/WS11EZeGckoq//Mu/ZPXq1Xzyk58klUqxevVqVq9efcaai18lott2E9+xF81lENp04ijpCx2lD85KzjMoxpOMPS3kqO2mK6d8v2R61bxugvyNviIn6Zbl3QCMHRRSEZonGR1W0SLt5HwEmyc2uqZZUnYPOzqB6WBbNv/2W/9NfDRJ1+I23v5nN7Hj5y8zsHsQX42PKqf+N2fDHKIHBnG7NPLjMTweDTubw+uXt50vaKBpNlohjuEtAgqjNPVRI39TmkKpF0W/XrUYmzCoLJoWwHCd2orZskRQaRizsLNSfdPdsyBzCDAgLOOldliumTkmr704ItMxuX7xxUg7JKxgiu6kYf1KBh4XZ8+5d17N3ntkvHXpO2Vzi/aP86Pf/wYoxdp3b2L1O05emm/obirfbzqkR2IABFrqpnwvcWQQlMJbX4Ov8dRCRWXb5fdG6LIKNrx6aSepA0fRfd6KzvoY37IdZdn453ZR1V65reYLCdFolPe+973lwYf3vve9xGKxk97nU5/6FIsWLcLv91NfX891113Hc889d1rPe05JxTe+8Q2UUlP+XHXVVefyac8KDn9ZesDtt16Dr7XpPK/mzGDl8kS3ycm0kknFyC+flamJ+bMJzJts91xMZ4nt6QWgaa2QCqtgMrZXTrvNjj10+KB4IDTNkw+s5FgSpRS6oRNoCJQfr6lL9BVjx6IopaZdz92ffZBdTxzA6/fwB994P26fi59/Ttw0r3z/5ez6mSjxG5rE6jvUIZtcfVsNoPB6Fbpuo2UTuLzSZnHV+wCFrsVAA60wgjIMKA4CGrYht9MDGygWZSN3uZejaSd/Cys7g20LOdCNzolKRdFxuKqej1ZIgKsGUhEwqlDJLLirsTMWmr8OM51HDwTJjyfRvV4izqiuXR1EmRaNq+aRTRVIDozjCfiYc61kZzzzxV+ST+boXN3NTZ8+dfZHwNFKZCLTV4nSjl+Gv7luyvfiB+TnXTu3Y0ZVh8SeQxSjCQx/FbUrK7cS2fddqQK133JVRY+8lyqqoc3rzvNKXj9497vfzfbt23nggQd44IEH2L59O+9973tPep8FCxbw7//+77zyyis89dRTdHd3c/311xMOh2f8vBcDxaZBYs8hYlt3obkMut/31vO9nDNGbMde7HwRb3Mj/gqe+hh5SHwEWm+cWqUY234QZSv8HU1UO94EkYODWAUTb7Ca2llCCEvGSqVKRWJU+vOBxsCk4KlQp5CKXCrP+ECs/P8S+ncP8qN/lImBD37uLjoWtPDKQzsZ3DOEr8bH7EUtbB1PEQjVMLL1IKDQsilAoeIRp/WRxVsthMVT74VCGt1KSOvDzjtTHwmonwekoW49dk40FHr1aor5bwPgdp/awtiyZLPV9AY0hWR+AFpSfCs0ShWRDiCBqp4FjKCq24AIqqoZGEVraIeBQXzz5hF5/iiuoJ+wY3k++6aN7HbizefesAaXz0NyNMG2H0jl4to/ubUsgD0Zqhuk9ZSJpqf9fsqpVPinqVSUScX8mWkKxkqTROtXoLsq82MwOzgqmSWaRtddbz7fyzljmOlsOSG2kmzSC5k8BVf+Nd3/XGHPnj088MADbNmyhQ0bRNj+5S9/mUsvvZR9+/axcOH0RPrd7373pP//0z/9E1/96ld5+eWXufbaa2f03JX5bjrHKCnCm67agK+lckWpZdvedcsqtmecH48R2yGaiZZrp5bPx7ZLHza0ekLcFd4lGoKmJRN+BeNOcFhorvgwpJzTcE1ookoB4qS5cEMP+547wnP3bufNvzc5Wv07n7wPZSvW37qCy98hBlyPfeVxADa/9zL2PiQq/J51sxl6bBv+2iqKiRhVfgM7nyFQ75Fk0qALLWejF5IYniIoC6PWB6TRausgn4CqGjDTqPrFkHsSzd2GpceAHJreMMPWh2y2htHlVCkUmrsNRmVTVYkhNMDOiFumnXZGSB33zPyotDwyEfl/sdT62Lia3feKLXnT+qU8/Hf3AhM5H0/950OYuSKdq7vpvnRmwrtSnLnpGJC9GqlhEdYG2qaOfpbsuWtn4KSplGLkl84IZgUHVkVflLZV7fIFVM+q3BHMwZ8+gpXOUj27ndpllSPS/Nwlf45Xn7nz7quRtwsAU0wez8YU5LPPPkttbW2ZUABs3LiR2tpannnmmROSiuNRKBT40pe+RG1tLStXzjy594Iyv7oQYJsWI78QAVvbjVec59WcOexCkeGfPwZI77tSMfbUS6AUNYvmTNuGGt8hUxahVceRit2iIQgtkQ3GzBeJHROdQGOPE3HunIb9DVOdGS97m5yWnv7RS+WvlUyutj+8B8Nt8O5PyRTD8P5h9j6xH03X2PC2tex/RMS9yhEjN82uAyDYWAUoPB4bXbPRsnFpfShVbn1orpzT+hhCaRqYQoRsXU40kkgqp3+PZ+MpWx9wPKnoxErL69FdHWClwVUHY9tlveFeuf2ojJCakRQYbgqxHFq1n8zAOBgG47sdEy6ftCqa1y/hyOO7sPJFQos6aV3VQ3wwyovfcSLg//iWGRNal6MfsQomtj3ZJ6SQzpF3YthrXkUqlFLEnICz+oWzTvk8qf29ZPuH0L3uii63R1+SQ0Mle+goy6L/ez8DoOudt0yydH+joKura5Lp42c+85nX/JjDw8M0NzdP+XpzczPDw8Mnve9Pf/pTAoEAPp+Pf/7nf+YXv/jFaU18XqxUvArRl3ZSiMRx19bQsLFyN+PhB58kH47ibaqn+ZrKnV0vpUc2Xbl+yvds02L8ZSnjh1bNm7jPnlKlQjaYyNExEfHV+PA70wcpR6RZmvY4HhvfsopvfvxuDm/rZ/DgKPGRBF/8/e8yfFi0CTf99pW0OlHpj39NPECWX7+MwR1HsfImoTlN5dZHcXQcDYUdHUfXbOxUGl+VY3hV74V8Gp0kmstCs9Jo/ipQOajrBvKo6jnYOSEq+BdhF38CuHB7JtuUnwilyQ/d6MRKfQ0AzTH20qrmgNoDniawRmWU1M5ATQeE0xBsg3ACvakLhgbxds3C3hWmelYbw1vlunddfwnPfEnitpe96wo0TePxzz+AVTDp3jifnk0z9xwwjmuRWAUL3TexwZSqFN5gNZ7A5ATZXDhGPppE0zWCMxgnHfmltGoaL12Dy3/6abQXApRSRLc6WR8VbMs9+vjz5IbCuGtraLupsg5xf/TC3xAMTu+ZMhMkEgn+vu1L9Pf3T3qck1UpPvWpT/HpT3/6pI/7wgsSZTAdmVdKnZLkX3311Wzfvp2xsTG+/OUvc9ddd/Hcc89NS1Kmw0VS8SqUAquar9lYsb1WmHAK7LrrzZUbc57NlUOSpiMV8YPHMLN5XH4fwTmymdiWXRZpNjmVikiviIwaupvKb6hMTE69/vrqKY9b21TDiqsXsv3hPXzu177C8OExrKJFbXMNd33iZq7+NSFp+XSe538ovy9X/OZmfvlpCRVrn9vI4OAgrQvbKBztpdpviNC0qRoyWXy1bsjZ6IUUuqcIVgG9wQuk0OoboTggG3qxF+qXgb0LXI1YupRJXe6l6Pr0KZ3Hw7aTKBUHNHRLYRaHQXNDXFpGFJwoda0WGMW2A0AGKy+/L4WEtCFyUamUmEpKvbWrl9H3vWfQXQa2t4p47yhuv48Ft65nYMfRsnPm1X/85tNqu5XcTEEC4tzHWXEnB6TSFGid2vqI7pWplZruNly+k5ejbdNi+H5pb7ZcV7m23OlDfeTDUXSPu2LNopRtc/iLMpbd8bbrKy6R1FPtxVN95mv2mHLfYDA4Y3IyU/PJl19+mZGRqQF94XCYlpaTT9f4/X7mzZvHvHnz2LhxI/Pnz+erX/0qH//4x2e0xsrdNc8Rok4EcuPGVed3Ia8BqUN9JPceRjMM2m656nwv54wRfWkXdqGIr7VpWlOf8Vck26Nx2Zyy2DLeF8bMFnD53NR1y5vneFJRQi4pGoGqmulPqu/92zvYu+UwA/vkjbnxjtX89r++k6oaX/k2L9z9ErlUnqaeEC7LYuzgMB6/l+yAPF+w3kv0KNQ0eLHGEriNIkqz0bIpXB4TlI2rvgrsNHqVEtNLK4wCsGWs0nYDeXDVXEnelFbPTAyvYGKUVNdbsDMyMaL7lqANif5BhXeKniIqbRbLUXgXR8YBg8JYGlxeUv1joBvEDknZNO3oLtqvXMUr351IIzU8bu77s++ibMXyt6xj9iVzZ7TOEpQ9MW3z6jJ4clCuR7BzashUdLcTpLV49pTvvRplE7W6mimhdJWE0cfFAr5h/YqK24xLSPcOkDk6gO71MPvdt57v5VQEZmo+eemllxKPx3n++edZv14OZM899xzxeJzLLjs9Mq2UIp+fuaj0jdfAOgnyY1EyvQOgadStrlwDliFHSxHavAZPfWWGCwGMPir6gcZLV0174h1z/CkaV0xsXuNOlaJhfnuZaESOStuiYdbEmzGfljeJNzD9B3LHghZ+7wu/RqirgTs/cTMf/epvTCIU2WSOn/6jmA5d8b7NbPnaYwAsvWE50cPD6G6D5P6jaCisiEx92MnEhOFVg+goDC0FhoVWjIDPALsAwS6wkih3LXZBqgp68DJsS6YtXK6ZbdZmUSZGDFcPdsopieqNoCzwtKGlB0D3QjIOhg+VtcFXjzJ1qG1FKR091A5oeGd3Y+UtqjpaGHhKvC5qV8xn8MWD6G6Dlb9xLS/f8wIjuweoqqvmhr84/ampyaRi8s87MSCkoqZjGlKxtxeAeied9mQYuFvCztpvuaZiK3ggLpogYvJKRWLnhIOmK3DqyttFzByLFy/mxhtv5EMf+hBbtmxhy5YtfOhDH+KWW26ZJNJctGgRP/7xjwFIp9N84hOfYMuWLRw9epStW7fywQ9+kGPHjnHnnXfO+LkvkorjUJqWqJnfjTsYOMWtL0woyypnfbS9+epT3PrCRTGeZORhEfu1TmN4pZRi5Dn5eZXyPoBy66OUOwETZkr1sydIRalS4TsBqQC45M0r+PeXP8nb/u8NU0jNg//yEMlwkua5zSzePI9DT+xF0zUCfinhdyxpw8zkCDZVg23jD0mbpcohE7qZQHeLe6YRkJK9Xu9UUhqENKiGlaAKaJ5ZWIaS++kt6PoMzJ2UjVl23VwwkUyajckN9Dr52ye6E+UV8mDrdYBWDhDLlwLFNCFUVfN6yEeTeBuChB2Nyfyb1hFoqePFb8vo72W/fe1JnTNPuObjSIX+KlKRHDhxpSLiVCoaTkEqsoOjjD8nFZv2t1SuUVTm2DCpA0fRDJ2myytXaBrfKYS5dum8U9zyIs4E3/nOd1i+fDnXX389119/PStWrOBb3/rWpNvs27ePeFwmvAzDYO/evbztbW9jwYIF3HLLLYTDYZ588kmWLp25budi++M4xF/eB0Dd6pmVly9ExHcdpDAew1Xjp/HSVed7OWeM4Yeews4XCcyfTe3yqT3jxOFBcuMJDJ+HxpUTH0pj+8Q2unHhcaSiTza/+uMqFQVnbNFTdfojYYlwgse+Jn35t37ydrb/QE6NC65bRv+TspG7rTw5IFDnJZ9SuMhL6yMdxeUugm3iahQdhR50Qx40LSmtDyVvcuX1QxGMms2YppzqXK6ZfQBbVh9KpSVELJ+S1FN3C2p8GxpASloddlaug+VMVhRHooBGfjgGmov0YAwMN7EDEiiWGBWB66wbN/DS3eItsPD2DfS/dISB7UcxPC5W33XpaV9TEB1FCbrLmPS9RL/8DF9dqciGY2RHImi6Rt2ik7c/wk++AEpRt2Yp1Z2tZ7TGCwGD9z4MQP3aZRVreKWUIvKCjF/Xrjh5yu5FnBkaGhr49re/fdLbHG/w5/P5uPvuu1/z816sVDiwi8WyFXSlCp8Axp3X0Lhx1ZR48ErC0M/F+6HtlqunbX2EXxIC2LhiLsZxZezx/UIqSsmktm0TLwWHdU1sSFZBTuCG+/R59S//61GK2SKzV89m0eUL2HG3tBbmbphDajiKp9pD8tAxNBSF4WFpfaRTeKoAZeMptT7cecn8yI+AG7Ay4KuHwjBKc2NbomHQqtdgFuX1utwz+wAutT5crgXYme0A6L7FaOmDgAbj0sJQo71yneIZMLzYOcDfgG3p6PUtKKXj656DlSvibQkxsl10LN7ONvKxNNVNtXReuohnvyoJsstvX3dGVQqAokNwXF73JEMyEK0MQG3X5LHi8VdkCiU4twN3tY+TYfwZx5a7ggyWXg0rl2fwPpm2qeRk1czRQXJDYTS3i4YKHom9iKm4SCocDN77CLmhMJ7GOkIVXFIcK2V9XFa5ttypw/0k9xxCMwxar9887W1KIWLNayc22UIqVy6TNy4QUpEKJ7EKJpqhU9M60TawzBKpOL23QHIsxRNflzL/zX90A3sfeplcPENtRz2Jg0JoWueHQCka54RQpkV1o4hBqxvEq8JQaTSXBcUUul8DFHq9nJy1RofQNq4HOwF6NXjrnCkON4ZrzozWaRbl+rjdi7Ez8jshUeeApx3NtsDXAbYCXyvYOsrXDGjYWgDQyOfl2hSd+7nb2lA2NK1byNFnhOQsvG098cEoe+7fDsClHzzzllsxK2ZA7qrJZDifzJKLOTktXZNFapGSWHf5ya+Llc2V25uhCn5vjDz8DMV4El9riNDmyiVHpdyV+tVLMKpOTgYvorJwkVQAtmnS+00ZB+x5/9srVk2dD0dI7e8FTavo6ZXh+6VK0bhpeqGpUqpcqWg6LkQsclCEjP7mWnx1IvyKOXqK2rY6jONK6mbRIRWvKrOfCo995XEK2QKzVnSx9NolbP2ejE8uv20NB34mFQs9K60En0d0EG69iKYpSI9juEww87hqZKM2nHVqzq+ccsnGqgIyDqtXr8Qypffscs1D005dfbLtGLY9BGgYWgsqL4mtWkI2YCx5zcqW57YLjpOl492RG44BkBmOg64TOyDXNT4qr6vtitX0Pi4ajUVv2cizX3kUZSvmXL6IlkUzSwidDsVciVRMbkmVqhRVjTV4/JM3oNIEUMPyk4tXIy+8giqa+NqaqO6eWTT6hQalFP3/K0ZRHW+9Ac04vd/dCwlhxya9kjOJLmJ6XCQVQGTLDvLhKO76Wtpvv+Z8L+eMURaaLuiu2KkPpRSjj4pG4URVivRAmNxYHN1l0LBs4oQ67mx+DQsmNo24429Q29kw6TF0p6VygsywaVHMFXnqv0U8ev3vX0diKMaRZ2XD9/t0rIJJaG4L6b5hdJdGrv+YtD5SSWl92DbeRhFsGn4NNIVWHJV3YWEE5XJDYRg0A1tLOrdbS7EovWeXe2YTSWZR1iTW3PJvzdsDETF9IiIbsT3uuGM6qaRmygJvNVZBQ6sNYdsGnrZ2rIKFr6OV6KEhNEMnGctjFy2al89Gr/Lx4nekcrP5w5PFj307+vnkhr/iX+74N575n2fJJrInXXcuLt/3vmrMN35URl5LOS4l2EWz3P4IrTi51mTUmZYIba7cmPPknkOkDhzFqPLScfvMchguRKR7B4ht3QW6VtHTKxcxPS6SCmDwZ9IPbrvx8orWIURekCyASnbYSx/qI3tsGN3jPmELZ2y7+DXUL+meZHYU2e+QirkTIrz4UAyA2vbJpkmGR055x4sDT4Vn/mcLqUia+o46Vty4nK3/+ywoxawNczn8kIgWm3uEvIR6QmArAm1C7kpTH4aeQdMttHwE3WuBMtHqHae6BsdqvG49KifCTKrmOaOkOi73zHrPluNnYbjmYae3A6DrTY41dz1kwqBXQSYD7hqUaUB1C9g6trsB0DCVVAQKBfmIcLe1ARrN6xez9z6pyCx715U8+k8/wy5azNm8kDmbJ6pGqUiaL3/ga4wdHefAswf5zh9+j4+v+Au+9tvfYHDv0LTrzjpi0arayaQi1iukoq5nsmlPdF8fVq6Ap9ZPcM6Jsy/sQpExx9Su5dozE5FeCCjbcl+yomIFmjBhzBfatJaqtspMgL6IE+MNTyqK8WQ5sbD15qvO72JeA/Jj0XKaZ6iSTX2cKkXDhpW4qqc3piqFiB0/9QHTj5OWKxWvyosotT0spw1yKgzvH+bHfy2mUdf+zjUUMwWec7wpFmxeQPTQMK4qD7ljIq50mbJBurQCoNDSEXSXBfk0RkDednqDbAxaaUbfJ69X1S4AbBklZchZ79wZuWgqpTBLJlmueWXTKy0nEyW4WtAA5ZYN2tZDgIbpBIPmR8W1MzUYAyB+dAw0jUi/3N8/p4vEsTG8wWrq5nfy8o/lvXPdn91WXoNlWnzz975F5FiEUHeIWz/+Zlrnt1DMFXnp3m185w+/O+3ay6SibvLrjPWKAVnd7Mk2wdHdvQA0LJtz0syIyAsvY6YyeJvqqV1RuTHnpUpkJR8azEy27KPT+fYbz+9iLuKc4A1PKkYfex5lWtQs6KFm/qkd+S5UHLv7QexCkdrlC6lbVbkjseEn5UQ5nS13CWPlELEJUqGUYqw0+XEcqUg4lYrgqyoVpfAqs3DqSoVSiu/80fcoZossumIBV/7m5bz4nafIJbI0zW8lNygn6Z7LF5PsHcLl1igMj2K4FFY0gsdrg205hlfgqvUCCl3FJEAsPzA5QMwla9L9aykWtgMzizkHsO1RlEoCLjRVjSpKlYOICONIC8lSSSEJ1rhMxpjRDOguzJyGHmzAtjRcoWaU0qlZNJd47wi6y2DIcRhdePsGiTZXikU3rKB9ufhdFLIFvvqhr7P70T24q9z81td+kxs/ej1//sTH+Z1v/xYAR7f1kXV8Qo5H1gl5q6qbbJ0ec9ofU0jFnl4A6k8xSjr8oJDtpqs2VmxglZUvENsuEzv1ayrXmO/YDx/ESmep6mqj4ZLl53s5F3EOUJnvsLOIyPNykqvk072yLIZ+Ii2crnfcXLE94+OFpqFNa6a9jZnJkzgoFYnG5ROkIhNOkI+l0XSN+rkTpfCEIzoMttVNehy/s3Glo5lTruuFH73I4ReO4Kn28N5/fQ+2afPc10VMuvEDV3HoQdmwa4JCVBpmSQskOEtGWKtD1YASfwrNRsuH0dwWWFkI1IAqQnAWKBPlK0WUA/7F2PYw4MLtntkHsGWKKNNwzUZlRIuheWah5YbEPTMsLTIVj4DuRmUUeGtRloGqcqoWmh/QKJjyeuwqqaiE1i6i76k9oGksuXMTL98jVYpL3ns5IC6l//GuL7Dj/ldweV28/79+g44lom/RNI1l1y2ltiWIUorh/VOTElNjoiPxHzeSqpQi6tiD18+d7C0xE9OrYjxZdp9se/NUE7VKQfSlnVjZPN6mBgLzKvPwY+Xy9H5TfBB63v+2iiV4F3FyvKF/qsq2y1kflTwrPf7cDskzqK3sPIPxLdsBCC6ec0KhaXRvL8pWVDXXU90yUX0YPyBVitpZzbi8xwVRjciJvKZ58uMFQuKYmnQ2shMhl8pxz1/fB8BNH7ueurY6dv9sG8mROIGmINVVBsVMnpr2Bsael5Oky8oACqOYBhRaLoZu2JCNY1QpUDZGvQQI6XXOiGSdTHvQsBLsJBhBbEOEiy73IjR9avDZdDBNEWEaRg9WUkSluu3c19uNpmxJJbVBeUQnYVnVgEY+Is+XGow6f8dA0xjdI1oVu0raEt1XLWNg1yD5RJa6zoZyEukvv/AoB7ccwlfj4yPf/R1W3jiVCLUtFGIwtG+qriIVltbL8T4XmXCCQjIr5lbdE5UKK18g7pDLk9lzDz/wJHahSGBBNzULZzaOeyGiFHQYunxdxW7Gyb2HsdJZPI11tN54+flezkWcI1Tmb+dZQurgUYqxJEa1j+Cy+ed7OWeMwXt/CUDrTVdUdJ7B8APiUtl42Ynn78sjhMsmbxARx/GxYf5ElcIyLdIOaahpmUwqahqFVKTGUydd0wP/8hDxkQSh7hBX/9bVKKV49itSFVr/G1dw0Bkj7Vozm+xoFF/QR2FkDMOtYUbGcfsUmEXcdSIodTvPq3llfFKzRh0XTVmn8jrTIYENWGYvIAZWM4FSaqJSobdhp0U8qqWEFGgFMZdSRalAlFw0zbEkoGFmFFp1DZap4WpqwVY61T1dZCMpPHUBjr0sm/jC2zbw0ndlkmT1Oy5F13Uy8QyPfOkxAN71/97B/Mumn8ZoWyg/n6F9UysV6bBcg0DTRGJj9LDcLtgVmmRyFjtwDGVaeOtrqG6bat1duh4D94n7ZMdt11VsBU/ZNmNPialdJR8a4rukbVm7bH7FEqPjkU/nX/Of1yPe0DbdsW3iOli3cnHFxpyb6Sxjz8jmUclZH5m+QVG36xrtt574dUR2yqbZuKxn8tcPOaRi3oRPQno8hbIVmqHjb5yc5RJ0SEbkWPSEzxUfTfDYV4TovO3Tb8HtdXFsWy9DO/txed0svXkl3/svEW9qadkQm+Y3k909TrCzHjWawt8ShJjjpplRaMUxCRDLx8BriItmdRMUR1GaG8uUkr7u34Bl3Q8wY8MrZUcckywDskOAiebpRBuWikU5lXRcrpWdLIDLj110gT+EihSxDD+QKRteFREyFFq7iIGf7cRd7cXX0kDf84fQDJ3Vd0kM/E//8X6y8SytC1pZc+uqE66xea5UG8K9Y1O+lww7YtDjKhWln2v9nFe1PnYKuaxf0n1CspDYdYD0oX50r4eWG6YfT64ERF54hcJYFFeguqJFmrFt0tYLLq1cx+Lj8YmVf4FHP3NPo4L9+iQVlU8XXwMSu4U5V3KVIvL8y6iiSVVnC4F5s873cs4Ygz8R6+HGS1fjazlxtG9ZnLd0MqmIHZ7ad0875XR/Q2CK7XP7IjkxD+wexLbtKc+TTWT56m99g2KuSPea2Sy/XtpjW/9XzK6W3LyKgS17UZZN06IOxhyHT1JxQKEXUvJ3Loam25AZR/dYYBUwaqUaoTfIGrSQs1HUrwJzDPQqx93SRNMCMg46A5hmyZ+iE5WWaGzd6ABlgrsZLR8HVxCKCuVtlhFSJ0AsnxBxaGZYyFHiWFRaH05FIeuQjLk3rOb5/5bAuqVvXk2wtY6+l/t54uvytTv/5q1TrvXxCDjkLhObqmVJDgupCLbWlb9WHhOeP9lU6/jY+xOhZLDUdMUluGsqNwVz4J5fANB64+UVW4m0i8Xy9ErD+pmJji+iMlGZx/OzgHw4wujj8sFbydMSpbySSjb1sU2rnPXRfsuJzccKiTSpfpkEqF88WawWPSxTCcefaMvCv6apM/0t85pxeV3k03nG+yI0dU8QmdR4iv941xfoe7kfX42Pu/7u7WiaRj6dZ+d9cr1X3bmRZ/76OwC0zm9iuPcQtT3NZPuOYLjAikVxeTVULoMnKOOr7qYaKCTRazyQBc3Ii7bBZUMRVKAVihEM/yXYtrQaDNecGf9ci4Vtzn0WYKX/EwAtW9KMyKaqtAYgjp2VxyyOpwAXxaQJHj9mXMfd0oY6nMTb3op1KEHdotkcfUZ8Mzo3L+Pp35ekw8t+61ps2+Z7f/oDlK1Y+5Y1LLri5CObgXpZR9px7ywhn8pRcMrBx7eqSi6pja8iFaVKRcNJ7LnHy5b104t+KwH58ShjTwg56njLm87zas4c8Vf2Y2VyuOuD1CzoPt/LOSv4ux1/TTAYPPUNT4BEIsFX2r94Fld0YeANW6k48rUfYufy1C5fWLElRWXbjD0trY9KzgGIbNlOYTyGuz5IaPOJN4DoHmkN+Dub8NZOtDNysTTZiGye9ccZJJX0FP7GqaTCcBll0eD2n+4ofz2fzvP5O/+Dvpf7CTT4+YO7/w+zV0kFaOd9L1FI52nobkI388SOjOAJ+CiOSCm/cbZMfdS01wEQcP721LkBhU5CXDRzg2AAxTGU7oactHRsTcYsdf+6suDS5ZpckTkRbCuCZR0BNAzLB3YGjAaIyu8HsV65XVTIlx1Lg+7CzhtQ3YCyDWx3DaCRdwyv8o6dd2BuF/lEhkBbPUdeOoqybHouW0D78i6e+PpTHN12FF/Ay1s/9ZZTrtPfUJq6mUwqSlM6noAPb0BGb5VSZZfUxuNcUguJNMleqaCcqFIx2bJ+5SnXdaFi8N5HUJZF7fIFFTv1ARMi7IZLVrwu9BQAXr/3Nf95PeINWakw0xmG7pde+dzfeVfFnvDTh/spRuMYVd6KrraMPCw9/9brN5/U0bTc+nh1leKIbJSB1nrc1RNv1ExERJj+hsl6ihJ61nTT//Ix7vmb+3jhxy9xyVvXcmznMQZ2D1LTVMMf3P1/aJ0vJMUsmDz57+IEuPbdm9j5XSn3L7hpNSM/eRQ0KA7KBmjYWSwUej7qxJ2PSYBYIYUecIGy0OqagTCEloEaRlXNRhXk9WlVS7Gy8vtpuE6eaVFCycrbcM1FpWWiyfAtQsu9AJoLksdkpDSdAZcfZRoobyOoAoWM/P5nwmnARXIgCrqL8aMRQCPcJ7qTOdet5olvyc/qst++VgzBPn0PALd+/BbqWqef2DkepQ/SfKYw6etlP5HjWh+p4Sj5eAbdpU9y0xx/Way5A13NeOund5YMPy4C2uDSeRVrWW/l8vR/X7I+Ot9WuUZRyrIYflDeL5Uc1ngRM8PrgzKeJoYffAo7l8ff00nd6so1kolulRHG2hWLKlZoaheLZWV78zUnt1AeL4nzFndP+no5G+JV5khZJ0vCVzu9M+ebPnItK25cjuE2GNg1wD1/fR8v/ngrmq7xgS++r0woAF76n6eJHYsQaA6y+PplHH1c/B5qnQTS0OIusv1DuDw6VjSCywMqncTt10HZ5akPo+yi6RAdv1M+bVgN2GjuVpSeB4qOnmKyNfWJUCzKetzu5dgp2VC1ohNs4mpGUwrlFg2HbQcBjWJEdA3FeAHcHopFA6MhJHHnne0opVG3uJtjLxwCTaOguzBzRTpWzWbelYt5+L8ewSxYLLl6MVf+5sxGBEt6C9uarGOJO2OsdR0TY8Ilh9S6Oa2TxoRLjqqh1SfWQo0+tgWA5qs3zmhdFyKiW3dTjCXxtjTSfN1l53s5Z4zx514mPzKOKxio6OmVi5gZKnMneg1QSpWFT+23V+6YGUzMrtdXMDGKvLATM5XBE6qndvmJVeFKKca2OZvJqsmbSTkbonsyqcglprd9LqGhs4Hf/sYHSUXSbPvpdl68+yUOPX+YO/7y9kkjkfl0nif+TaoUV370Jg785HmUrehYv4CxF2SCqKbOTRKondOM1Z/A314H0STeUAASMQyvCVmF5rhmaoUhGSUtSnVD+YKQAb16VVlw6XLNn9Hvp21Hsa1+QEOnEas4ALgg4rR1MlKxUQnZuK1IAnBj5XTwBbEjGnZVHZAjn5XNPlMSpvuF/MzavJg9D4vQbt17NpOOpHnhbiGDN/3RDTN+H+mOPbptTk8qjnc+jUzT+gBO+HtQQiEaL4sCm6+u3MCqmPMaGtevLF+3SsTgvTLW23bzlRhezylufRGVjjccqUgd7CO1vxfd46btpivO93LOGIk9h4i++AqaYdBy/abzvZwzRsntsPmq9SfttaYHxiaSSV81+VGqVEwlFU6lomZyXParEWjwc/mvb+LyX9+Ebdvor1rHi996kvRYkvrZIVa9fQPfvv4vAJh3/Up2f/ZbaDrkjojewzAzWCiMYhKFQsuOyfRHNozmscHMQCAoBleBVrBS4K7HtkQjoFevpGDKZmK4ZjaVVCw6tze6ISMkR/fNQxv6GaBBRDZhlYiB7kUVXNL6sG2KeRdgkwmLYDMznkP3VTHWGwFdZ2CXjHS2bVjE1l/8BJfPzeKbVvLIlx7HzJvMWtlFz9ruGa0TQDeEfNiWjVKqTEbiA0Iqjs9oKXmPNM47znukaJYrViciFaOPPQ+2omZhD1XtM6v0XIiIOMZ8dRVsy50dHClXIttvq9xk1YuYOd5w7Y/xZ0W41rC+wpP+7paTc8t1l1XsB6dSqqzQD11+8rJoxIm4rls4a1IyKUC8LwxMjcYuZqVv7zkNQdSrCYVlWjz3TdE3XP571zO89SDpkRje2mp0pwIQWtRBMZbAXeOjMDSIYShUKoarSoNiDqNW1muERMipNzon7/pu+bthEyovG6VWNQ/bkrK/yz0zUmEW9zq3X4pVMryynNfs7UKzbZSnFWywDceK2xkhLcQL4HJTLBjowTpspePpaAc0At0dZKJpAq31DOyTa7zkplXYtuKRLz4GwHW/c81pVftKFQrd0CfdL3ZsHIC6rgkjq3Eny+X4cdLoriNYuQLe+hqCPdMnkw45qcMt11euN0V+LEpyj/zON1xSuSOYh7/4vyjLomH9CgJzus73ci7iV4A3HKmIPCcl4YaNq87vQl4DiokUIw+JYK7jrdef59WcOVIH+8iHI+i+UwtNx08yQhg/JtMXwa7pSYXLd+az/XsffJnEYJTqxgDLb1/H3nulsjLvxrUcuU+CqgIOaahzPDL8ztSHt0X+lgAx0B3bbQ0nMdSQhFQV6AQUmrcHSw0DCt3oRNdPLTBUqoBVsuZ2zZ1IJU32yg0KoqtQWXHTtJ0pGSutwFONbRrYVfWARt7J+EqOyToLmly3+bdcwq6fCVlZ++7LeOQLj5FNZGlb2Mrq21adco3HwyzIa3Z5JhdJY/1CKuodUmEVrbLxVWjhREDcqOMH0rR24bSVrfSRYyR2HkAzdFpvrNxKZGmqK7hkLt5Q/SlufWGiEIkz7CQnz/3d95zn1VzErwpvKFJhZrLEdsiHUuP6yh0zG77/Cex8gcDcWRUd5TzuOIHWr116yl7ricyO8okM+ZiMJwY7J9s1F3Oykbp9Z97H3eLEm697z2awbQ4/JJWVlvnNpI+FcQd85daHnhezLbeeBxR6MQIotOwI6BbkR8GlQ25IRknzchJXupAfo3o1ZlHaF273zKZ5TPMQYpJVD/lxsLOgByG6XW4wJmJeFRsDzcDOaShPLcrSMU0voJEZlYpLNlZA93qIDycwvG6G9stUjeX2UMwUCM1toXFeK49+Wa7Jm//vTVMqO6dcr5MKa3gmNAKWaRF3pj/quqSaE+sdwS5auKu91HQ0lG87+sIEqZgOgz+VKkXjprV4G+tOa20XEsaeEm+K0ObKnZaI7zoASuHv6SS4qHJzVy7i9PCGIhXxl/ehTAtfaxNVXa2nvsMFiqGfPwZA+x1vqlihqbLtsotm0xUnjjkHMceK7XUSKV9VqUg4VYqqxho8/snaCTMvpKIUc366GNp1jP4XD6O7DS75tc0c/uUOipk8wa4QsVdEp9C+fgHFeBJPbRX5vj50XWHHwuhuBdkERsAAu4jhjD5qTd3y4KFlgEJVz8XOycavVa/ANMVkyuWaWR/dKjq3dy/ATjkBYkYzGra0PgopMAJggnI3g9KwMhqgSevDMCa1PoxGaY8E5s3CLto0Luhg5/0yWbLmXZdx/z89SC6Vp2NpBytvPv2yfIlUHF+pSAxGUZaN4XURaJZpmPF9TutjQXu5ImEViuXJj+ZLFk15bLtQnHhv3FK5lvVmKj2RnlzB/jPxV/YBEFwyfQ7MRbw+8cYiFbvkA6l2xcKK3YxzI2Mk9x0BTaPlFCOYFzKiW3eRPTaMUV1Fy5tOPi6XODyIlS/i8vuomTVZP5IYkLJ5sHOqtbeypfR/JmY7Sike/Zx4BCy+YQWB5iA7vinBbfNuXM3Ao1JlqfLJc9T2iEg0MEvW4XMEh+4maWHojlhU9zprCTjrrV+NMsOgebA9XqCIptejG5MdJE8E0xSrecM1DyshrqR61glJs6XtoiwZe7Uca2wzaYHLi1V0YXvrOL71ERuW+6bS0qZoXN7N6N5B3NUe2lf38MTXpZx9x1/eNqVKsevJA/zF9f/MQ1996oTrzaXkiaqOE89G+oQY1neFyo9ZGidtWjTRhx9/+ZDoKRqC1M6baImUMPb0VorRBN7mxop20Rx+6GnsfBH/nC4C87vP93LOGNEXhYzWr63cBOiLOH28oaY/SgFitUsrN+ujlGdQu3wBnobKNPWB45JVb9iMq3p6H4kSjje9ejVBSDqkoqa94dV3O45UnD6B3PPADvb/cie62+DKj97E4AsHGH3lKIbXTX2Tn/6CSXBOO4kd8julZUQn4fFaWIBLy8r0R3EMiT8fAA3I9ckT2BFZY3mUdOWEQNO1eIajpHFsewTQ0AsZLCsKeg1EpEXDmKzNjorI0s4ocNegTAPL5QdssuNZwEU2VkDzeMnGTaqaG+jbOwSaztAhub5r3nEpW37wArZls/yGZSy+cqJSoJTiJ59/hO/+1U9QtuLgS0eZtaSNRZdONe7KJYVU+AITpCJ6VEhFw+wJYlgiFaFFE+RhbIcQqKa1C6a9PqV2WvM1Gyt7BNOp4LXfcnXFHn6KiRSJPY6vzLqLpOKNhDdMpSK6fY8wZ12joYJte8ccb4pKNpEpxBKMOqOkM8kziOzuBaB+UfeU7yWcqYFgxzTx14730+l+MOfTee7/5A8B2Pzh62he0MbWrzwEwOI7LmXQqVK0r59PIRLH7fdSGDiGpoM1egxNt1DJUTSPgnwCze8GOw819aCKqJoeyA+CZqCUbKiG/xIsq1/+7ZpZMJzptD50oxM76bQ+PPPRrAy46iAzBoYfCgrlDoGtYxY8gEYhmgNNl9ZHfSO20tGCdYCGt6MV0Ghe0c2RLYfQdI21795U9qW46oMTAsi+XYP8w11f5H8+dR/KVoQ661G24j8+/O0prplwHKk4vlLhJJY2dE8lFY3HkYrSBFBoxdRyulKK8S1O1selq2d0/S5EJA8cJbnnEJrLoLWCR96jL+0Cpaju7sDXPH00/UW8PvGGIRV935KI6vZbr8E/u+MUt74wYeULxLbL6bOSBVyjj2xBFU1qFvRQs/DU2RaxvXK6f7U9N0ByUE78gWkqFaUKhZomhfRkeP6bj5MciVM/K8TlH7meeF+Yo4+LZ8DCN69hbNt+0DRcpkxJ1PbI1EmgpxVsG2+zVJA8rfJhaoRks9Tr5XZaSESYqmYZdlaEh5p/DZYlOgLDmNnoXbEgxMzlWoSVlPRUPV9yrQqiAUqTNoyVEi2DFS+A7sIsurG9QRQaeed7iVFpj4weEaJGteR0LLp+BfufO0IumSM0u5EFm6TSt/OJ/fzZlf+P7Q/vweUx+MDn7uQfn/4zGtprCfdF2PaL3VPWnHFcTquCE6Ri3DEvq3daR5mxBJlwXHI7FkgbSCnF2A4hFY0rplZAknsPkw9HK96yvv+7PwHk0FCp9uIAo4/I72Pjhso9wF3EmeGckYre3l4+8IEP0NPTQ1VVFXPnzuWTn/wkhcLU08u5RnZghDGnNDr7Pbf9yp//bCGx8wB2oYgnVE/17Jn13C9ElD5wZmLapWyb2AE5wdctnLrZpobFNKmmbSqpKAk0S1MgM0E+leOZL0n5+aqP3Yzb52HX90UjMGvzEuK7paTbtHo+445C37Bko/TKHozbL2RGN5yAMGIAaCrm3MAhO7XzAAvN0wWGAZiAD10/9cnOsoawrD5Ax7CqwE6BUQ+RUoCYCFvtiExwqLQFrirsogvLkOCwbEwISDZeRPd5yeUVvuYG4sNxPAEffa/ISOeqOzfw2FdEr3Hlb16OrutYpsU3/vRH2JbNimsW8Q9P/Alv+s3NVAd9XPZWERe++PNXpqy7lE5aikAHGD8s7ZnQXNHLhHc5JLKnpSy+TfWPko8k0N0u6pd0T3ncUuWr8bI1FevamB+LMvyg87tWwZ9TZipN+AlJgK7ksd6LODOcM1Kxd+9ebNvmi1/8Irt27eKf//mf+cIXvsAnPvGJc/WUJ8Sxux8EpWjYuJLqWZW7GUe3ycmvfs2Siu21FiLHWShfc+pchvTgGGY6h+52EeyeanaUGnJIxTSVipI/hXkapOL5/36CbDRN45xmlt22BqtgsudHzwCw7F1X0PegfFiG5rfI1EdDDfn+PkBhDfWCpiA+CLoNqUEwbMgOg8uAfBiluVBZOXHjls1P9687rvXRiaad+m1ZyDtVCvdSVEqIhOFbgpY7JgFiqRHQqyBbQLmCKFPHMquQ1kceNE1aHzUy9UFNHaChqqoBjZZ180mNJamq92PpBkP7hvH6vVz6LvmZPfqtLRzbO0ygvprf/+pv0LFwYppq7U3SQ9/20G4s05q07lQ55E2s023LJnJUSEWjI3YN7xZS0bRkgkSWpj7ql3ZjeCb7jiilCD8qWR9NV1WuLXfkhVdQlkXNojkVrfsaefjZstC05uIo6RsO50yoeeONN3LjjRPJenPmzGHfvn3813/9F5/97GfP1dNOgV0oloVPXW+/6Vf2vGcbyrIYfkBOi/Vrl5/n1Zw5wk84FsqL587ICTS2Xzbb4Jx2dPfkX1czXyxHngdapxoElfwpirmZVccKmXy5SnHF/7kRw2Vw4Ocvko0k8TfXEprbzAu7e9EMHXtMSvYNizrI7RgiMLsZYofwNNeAGcfdXAsqjtHSCmYCrakH7EMQWgXmABiBsjW3Ub2cQolUGFOnGl4NpYoUC0Ik3J71mKlPAaCXAsSMEJrqR7magKPYOQNQmPE86FWYBTd2VS0qZpNLFgGN2JBs9iOHpfWRKwhpXXbLGh77qiRMbnzHeqqCVcRGEnz/734OwNv/7CYCddWT1rdwQw81jX6S42n2P3eExZsmNBCpcXmeGqdSETs2jl20MLwugo5p2OhuuRZNSye0JSVS0TSNNXf6yDEyfUNobhehyypXTxHdKi22hnWV+/5WSjF4n4iw226+smIPPzNBLp3HY+RPfcOT3P/1iF/p9Ec8HqehYeqJsoR8Pk8+P3GhE4nEa37O6LbdmIk0nsY6Gi9d9Zof73xh7OmtZI+N4AoGaK3grI9yIumVJ/emKCF+wEmqXDC19ZEejQFgeN14a6unfN8XlKmSnNPHPxW2fPUxstE09bNDLLtNRhL3/lhaNYvfehn9Dzki2TXzy+NyuplxnsuFFQNvgx9GwRX0QByMKiAJerUPUqAFW1CZAahfjyo4pllVS7Gy8tgz0VOYxX1ADk2rEyJhRkCvQo09jwaQkuqNigrxsZNF0KuwC25sdxBQ5KJ5wE0+ozBqaiiM2nga6ykO5Agt7uLA0zJp0bysi59/5Wk0XeOqD16BZVp8/oPfJDGWomtxG9e9f+rvom7oLLikh5ce2MnA/pFJpCIRdkhgSHw7xg5Ke6axp7k8ThreKdfleFIRfkk8D0Krp4bODd8vZLtx4ypc/qm/B5UApRSRLduByp6WGH92O4ndB9G97ooWms4Ev7P4L3BrM48AeDWK6vVJKn5lQs1Dhw7xb//2b3z4wx8+4W0+85nPUFtbW/7T1fXaveJL2RKNl61GMyp3zKz/+3Iy7Lj9WoyqkwdkXaiwC0UiL8pprHGGJ8r4QREv1s6feoJPj8QACLTUTXsi8jun4VT41OT00FN7efSfxJfiyt+XKkVmLEHf0yKMXXDreg7fLZtXqCeEXShS3dVGdv9+QGGP9gMKLTkIKEgfk78zskGSk9O3UrIWFZQTt+buAKN6omrhmgmpcGLOPcux00JGdO8CtPQ+aX3EjoLmQmWyKFcAVTSwEB1F3ml9FAoGmr8GW+lYHj+gUXRsuf1dzZj5Is0L23ju3u0ArH/7JTTPaeb7f/tzdj91EF/Ay8e++X5c7unfU/VtIjKMDMUnfT0+Iq+/tkVMrsIH5HU3zZf2SWY8IeJbTaN5qQhzc+Nxkr3DoGk0rZlMKqSCJ9ksbTddecprd6EidaCXfDgqlvUVmjqslOLwl74HQOfbbsTbWJn24hfx2nDalYpPfepTfPrTnz7pbV544QXWrZuYThgcHOTGG2/kzjvv5IMf/OAJ7/fxj3+cP/zDPyz/P5FIvGZiUSYVFTxmljrcT/TFnaBrdLz1hvO9nDNGdNtu7FweT6h+xqY+8YNSqaidN3ViJz0qG5bfydh4NRq6Zdpi7PDoydfVN8YPf+/rKFux+q6NrHybVFH23P0syrJpWdlD9tgwmeEInroAZtiZVljcSfrpA1S11qGy/bjr/KjsIEbAA2YMPegHKw61zWCGUZ4gOHoK5fFBFvTqJc7Uh42m1aBpJ1f8K2VSLIq2xuVegZmWVqLmZGrg6ZTWh7sJ1CB2sRooYMXyoPkwiy5sn7Q+8kkL0IkNxAGDsWMJNF2nf69UD7o3L+Zn//kYuqFz0x/ewJ5nDnHvv0iM9W9//l20zz9x+6pEKqLDk0lFokQqHOfMsFOpaJonjzX6ipCw+jkteBwvi1KVonZ+J57g5Bj7yIs7yYejuIL+inafLGV9NFyyvGKFppm+QZJ7D6N73Mx+7+3neznnHP+1568JBoNnfP9EIsHd7V88iyu6MHDapOIjH/kI73znO096m+7u7vK/BwcHufrqq7n00kv50pe+dNL7eb1evN4zLye9GrnhMJmjg2iGXtFJfwP3/AIQO+uqtqZT3PrCRan10Xjpqhn1Wq2iSbJPNp3audORihgA/qbpN+KmBSLsHHylD8u0MKYxRFJK8eM/+jbZWIb2lbO4+a/vQtM0itkC278uG+jSd1zOoR9KpkT3zRuI3icVDT0nG2R1yI/dD772BhgexN3SAIlRjMZ6SA+iN86CdFisudUR8C9EFUSMqFctxTLl34Yx65TXxTQPAHk0rRZdBVA58arQItudiyKaBRWXFogdy4DmxSq4sV1BUJAttT5yYAT8mFmFr70J+3CS0OIu9r40hOF1MTYqrYp1d6ylqTvE1/70RwBc9Z4NXHrHyUl6fat82MaGJ6pEhUyBrBNHHyxVKg5KpSI0TyoVI6/0AtC8vLt8v1KIWPM0eR8lvVTLmzajv0rAWUkYe1IqTqFNlesEmtgpupeahXMqehx2pvD5vfhOIwH51ShYZ2+vu5Bw2qQiFAoRCk21RJ4OAwMDXH311axdu5avf/3rpx0+9FoRf0U+cAPzu3HX+E9x6wsTyrYJPypK/7Y3X3V+F/MaYOXy5TJ189UzsxdPHR1BmRYuv4+qlqlanMyYbHrVoelPC52rZlPdECAdTnLg0d0setNUAdwr975E3/OHcFd5uOs/P4DbmRjZc/czZCNJgp0hZl+2kJ1/82UAaluDRCwLf087qVdeARQkpHKh5SMoQFNyOteUeGhouqPpqKqBDFB/GXZOphX0qmUUTCEsMzG9mog5X4ydlt8Lzd2FlnkMNA+MyWSNSmfB5UcVDWxdyEQhlge8FEutj7TCtF2ASSYrIs+iko+ExTet4pmfSqvqsvds5OgrA2x7aDearnH7x6475To9znUsOlkfANFBITpev5eqYBW2bRPeL2OrzQ4BHN5+BIDWFd3l+408J5WZ5vWT/Sfy4zHCJRO126495ZouVKR7B0jsPoRm6IQur1xTu9JUV93qyvUJuYjXjnO2yw8ODnLVVVfR1dXFZz/7WcLhMMPDwwwPD5+rp5yCctbHssodz0rsOUQ+HMGo9tGwvnKrLSMPP4OZTONrb6Zxho6micOipwjOaZ/2BJ8Zl1Nw1QlIhcvrZtWdMmL44ren5lHk03l+8Xf3AHD5711PXacQF6tose2r4qC5+gNvov+h51G2onHVPJI7ZVOvm9uGKhTwtYaw4xF0nwsVHURzAckhoeuZIdB1SMnvYcmam0AXqAIYteDuwDKl5G+4uk96PZRSmGaJVCzCissaddsRJ/q60ZSNcjWCDbYZADSZ+kCTqQ9vEKV0sklpl6QieXSvm8hQEt1t0PuytJtqZjWRT+dp6gkxb+Pccttj4+2raJvbfNJ1gog1QUZGS4gMCKmo76hH0zTixyIU0nkMj4vGnmaUbTOywyEVq2UUMTM8TrJ3GE3XaF43OUQs/PjzKNMiuGTejEzULlSUQtAaN66u2GRVpRTRl4SEXsz6eGPjnJGKhx56iIMHD/LII4/Q2dlJW1tb+c+vArZplfuUwQqe+Q4/Lr4IlWzqAzBw94MAdN5x/YwDvhKH5RRbO2d6B9TsmNN+aKg54WOse49MJxx8fA/jveHy1w89uZcv3vwPZefMSz90Tfl7B+9/keRAhKrGGhbdsZEj9wohmX3jeiLPSXokmRgAgVliVFXlBJ25O6WMb7SKH4rWslCsuQOzIHcM0FCGVAX0qmWgYiiVBPRTjpPadhhlRwED3fJgZ/cAOlrMIS1pRwSalsqIFUuBpmPlZepDKZ1cTMZr8znQq6sxlY6vrRmFRs2sFixT0bVuDruelOmPS9+1kZEjYzx7j2iT3vKxU9uqw/GkQpW/FjkmpKKhUwR8o06VIjS3GcNtEDk0TCGZxV3tpXGB/MxLVYr6pT1T9BSlrI+mGU4SXYgQoamM7La+uXKFptmBEXLDY2gug7oV08fSX8QbA+eMVLzvfe9DKTXtn18FRh9+hmz/EK5ggNCmShZwiQ6hkj84U4f7pbzrdtF2y1Uzvl9sv2gNgnOnNyzLOkZKVY0nJhUNs5uYe+ViUIrvffBLpMIJHv/8A3zrvf9JpDdMdWOAt3zuPeW2B8CO/5Y+/cpfv4bU0WEShwbQPS6qazzYhSJVHU1kdstmp6fF18HQxT3TcAZzjCp5a+kBJ/I8tFS+4V+AnZcNW69eimnJyVw3OtC0k2sCioXt8tiuOdiJx+R+VcvRUgdAMyD8MgAqmQbdiyq4sI06UDoFh0wUii60QK0QjKIOaERG5DomEmIS1rNpIYeczI8Nd17C/3xagsJWv2kJs5fPzOK+VFg6/v0+3ifXKuQQsdF9pdaH/HxLVYqmZbPKgWDDz0pJvWXD5IkIK5cn8oJMwVT0qPhTL5EfHRehaQV/To07B7jaZQsqdjrtIs4OXpfZH0op+v5HPPRnvesW3MHAKe5xYaIQjZM+JKOIDRU8uz7yCwm7aty46rQEXDHHo6J+0dTMD4BcXCyffXUn18u8+a/vpKallvCBYT5/5V9JpLlSrH33Jj76xCeZvX7CRyG8u4/RV46iu10svWszfQ9Iz779ilWMOdbDdfM7UMUi3vZmiseOAAo11ovoK5y/S6OkptPu8zm/g7WXYGelTGxUr8AqCsFwuabmWRwPpfIUCnId3e5LJmLOLee1ezrQbAvlbgELbCUjpGZUyI5ZcGN7aqT1EReCkU6aGD4vyWgOb2014f4ohsfFQK+0aVbdvJK+vcM8f98OdEPnXZ+89aRrPB6FrBAUT9UEUQofkeCwph7RZI3slfZWy2IhFaXJj5Zl3YC0ToafEeLQtmly6y/y3A7sfAFfa1PFxoMrpej91j0AdNxxfUVXIocfkmpe89Wndsm9iNc3XpekIvrSTpL7j6B7PXS+9frzvZwzRimq3T+3q2LV1EopRh4Wm+uW6y6b8f2KmRypfhFATudRAZCPi/HUdMZXx6NhdhO/8b3fJ9AUlB6+18Xt/+893PqZd+INTD5V7fpf+XCce/0qfPUB+h1b7vbNy8qnMReyUdf0SKvDN6sFbAtXcyMUs+jBWigmHWFmv6SRms5Ya81ssDOg+8HTg2mWSMXU5M3jUcg/ByqLrofQTV0eT6+GuGgsyAjBUs5mbsUyU1sfDpnI5zX0QABL6Wg1Qj6qO1sAjTmbF/LSfdsBuPx9m/iGM/Fxw4cuZ9bSmVvc5511eKsmNsqw035qcgLYRvYMAtCyyKlUlCc/hERGdh2mEE/jrqmeEiI26rQFm65aX7GujamDfSR2HkBzu+i6q3LdfjP9QyR2HQBdo/k03uMX8frEr9RR81eFUpWi/darcdeeuDR+oSNSEj6tXnqeV3LmSO3vJds/hO51n1ayauLgACiFL1SLr2GqENO2bPJJ0Q74ak892ROa08z7f/BRXvjWk6y4Yz3ty6f6nxTSOfb9RDarpXddTuSVw6QHx3BVedFScSeXoYf0TinJG8UEFuAJelApcIeCEAa9uQUSfWhNcyD/Miq0DtKie1AuJ2ysejlKRVFKPCJOJtJUyqSQl8kZj/dK7Kj8W/dfgjb4TbnRuJALFR0X46uC22l9KArxIuClUHRDdQ0qrcjlATTGh5KAxkh/DADNX0UxV6RrRSfHDo0xeGCU2uYa7vyz09v0ClkhMKVKhVJqolLRHcLMF8v+Ic2L2rEKRcb3O5ULZ5w0/KL4UzRfsrjcDgGwTZMxJ8ytktuCJWFjw7rlFW0UVQpBa7hkRcUKTS/i7OF1V6koxpOMO3a3XXfdfH4X8xpgZrKMOCXFSu4Zh5+UD//Gjatx+atmfL8J06vpqxTFTB6cfr2nZmaP29jTzI1/+bZpCQXAwftfopjOUTu7iY4NC+j9qVRY2q9cRfhRsetuWNaDnc3ibqyncGgP0vKQzZC8bJK6LhoF3StvL61+odyuqhs7L+ZXevUKLFMST8Wf4sSlb9Pch1IJNC2Ay70aKyltEMOqBmWBK4RmmeDtkKkPrRaUhhk7vvUReFXrw0L3eSiYUDunlcRoCl+wipcflY386g9eyS++Js9zy0euobp25j87gGxKLIh9AZnFT44lySVzaJpG46xGRvcPoywbX201wdY6wnuOYRctfPUBajpFcxHeKiPhTasnC60jz+3ATKRx19dWtCiwJPqtX1u5hwYrm+PYjx4ALiaSXoTgdUcqxp/dDrbCP7erohNJh37yKGYyTVVXG40bV53v5Zwx/v/23jtMjvrM9v9UdZ7Uk3NUHOUckQARRAZhgxcHjLHNXrzGYf273rXXu2v7rvfi9e5e765zWMPaxgGMAYMNBgMiWEhCSKMsoTSanGe6p3N31ff3x1vdo7HSaDTSqHGf55lHo57q6m/V9HSdet/znpNU6J+r26HvqJTGTyfSjIesWHG7js15/gU3IxbnzW+LFfqcO9eQCEZoflouqlVr5+LfdwR0DT0ubYa86dWQiOMsL0EFBtHdTiEXNh381jRGRISmJNeXvxQzJGJKW9YiTFOMvWz2M099jISHLUJFDoExIO2TARHxEpOxTdMKKDKHwoCGEbFaH6ZOxC9+EbG4DT3Pi6l0TKeklpoOufCXzK5huD9IYXUh3toimne14XDZufL9o5M/jYTBQLefY3vb2bv5CNHwyYFtASviPLdAqkg9Vrx5YXUBDreD7v1CxMpnVaFpWkqkWbagAU3TMA2Tvh0WqfiTUdLUtMT6y9LWet+IRFMBYun899326+eJD/rxVJVRdm2m9ZHBO7D90WuVRc+l1H6pwUwYtPxSXBtr33tz2n5wxgZ8+PfLnfm5fnD6LVJxunHSuHUBdWS5J6SnvvtnrzDc3k92qZd5H1hH85OvkghFyG2owEjaci+ZS2BHEwB2LUwMcFcWoZoP46ipgqFubBW1EGuC/CqIdYDNjYqJ2JacWgjsAFs+mqseM7gRAF0/vZmcMsMk4qKtcTiWYA48I8/xzIP2n8lGfVJdUIO9oDkwow6UTaoVqdZHzA7ubFRQIzQsBGOoN4ym22jdL+Rm0CdEbe09q3npx2LOter2ReRaMeXN+zr4/Lu+RU/rwKg1XnXnUr7w8EdGPRYYFL1LToHoXXqOCKkotTwuupKkYo78frt2jja9Gnq7hXggjD3bTf7MEVOwRDAkSbek953x0I59mNE4rpJCsqee3fTsUoQZj3P8p08BUH/vu9Ht77jLSQbjwDuqUmEmjFTSX0k65wC8vo1IRw+O/Fwqbkzf2fX+LU2gFLkzGnCVnD6d9lTwpyoVpyEVoSSpOH+r21ggwpvfeRaA5Z+8BbvbwaFfSnzz9LuupvsPUrEoXDCNeH8/usdN/JhcyLWYeC/oThEm2qxkVL1IxIaqeCkEhBQou/y52bIWoGk6pikagzORinh8N5BA18vR9HKMYWnJ6LEEoMBVj2YkUI5SaX3ohaA04labY1Trw6pWhMMm9pws4kojp6aURMygZEYFx5qk5TTzykbe+LVUR679yBoADMPk65/6WYpQnEjkXn9650nVisCgVCqyk6QiqZ+YYok09yUnPyw/ihMqFTCipyhZNCPleQHQ89JmzGicrLoqchunnPa8XepIeugUrVqUtkLT4YPHiA/6cXhzKb9+7WQvJ4NLBO8oUhE81koiEMKW5SFv9pnV9JcykiOYFTetw+ZOX3/4HstevHCMDppJJEJRQp3iaZBXX37KbYyodRF3n9nbYSzY96s/Eh0K4q0vZdbtq+jfdYThY53Y3E5KF0wheKQVzWbDZsWc582sQ4WD2PK9mJ2HAQVDoo8gKmRIc4reQ8ufIroHdw2mNV6qexpRysQ0LUKiF512bYm4lMgdzoUQb0HFO0FzQN826/XEGVNZJMuw2g5m1I7pyJXWh0/OVSxhQ8uRZNKY7gA0/EPyvOwqWcOMy6bz+q92EI8mmLqkjmlLhBz94v/9nj2bjuB0O/j2a5/j975v8ofAt8kryiYWidNysHvUuv19oivxWhHn3YeTpKIUpRRd+4TAlM+uJtTvx98qBKvMqlT0vClE7E9bH+1PSA5OxU1XpO3F2EwYdL8oGp2Sy9PXlnuoSX5H3vkzM1WKDFJ4R5EKv2XLnTd7Wtq2DIxINHUXcy4jmJcaIl29KYV++Q3nVqYebpULlNObjavg1NM7RlwupqcKCTsXGHGDnf8jVYlF916Dbrdx7Cnp2ddcu4zBrSKmy186B98maQm4cuUDNGtKLSgTe3k5xIKQnQvDx8X5KWiRDHtSrLkSFZFWkOaehlIBwAA0NP3U48JKRawAMbA75mD4JSNEd01HCx0RctFjGV75hkB3oKI2lC0PZdqI+ZI6CgfKLdWKgFXBGOoNo9ttDHQHcOa4OLpHjKgW3rKQ5/9bjv/dn70OTdM4sK2Z//mKtF0+/Z/vZebiOmw2HU3TqGsUh9zjBzpHrX3ISiPNL7NIxREhFeUzyhhq7SfiD6M7bJRML6drh5yrwumVuPKyMBNGKpn0RNOr4UPN+PcdRrPbqLhp3Wl+o5c+BrftJj7ow+HNPWfCfSkhmfVRsDh9habvZAwODnL33Xfj9Xrxer3cfffdDA0NnfV5+/fv59Zbb8Xr9ZKbm8vKlStpaWkZ8+u+o0hFMkAsnbM++jZtx4xEcVeUpHV5t+2JF8BUFCydS07DucXXDzfLHX1u/ekt3Y24XDB1x/ndIR35/XaGOwbwFObSuGEliXA0ZXjVcNsaeqzAqsI5U4i2t6O5nJidUqq32eUC7bBSUu0VIrjUyubJJIjuGtFTeBelvCp019RUlULTvGjaqYlRPLYHMND1YjTySQxJi0aPW8ecNQPNiKDsXjBAaUWARsJqcyRidkzH6KmPaEzHUZSPoXScxfkoNGqXT6e/bRB3rpvWI31EgzEaFlSzaP1sQsMR/vneH2EkTK68Ywnr3z/a3OhUpEIpxZCVcOotzcOIG/QeE01F2bQyOvdKlaJsZiV2pz1FKpJ5HwP7jhEPhHHmZY/SU/S+MpLkmc6ji12/F9JWes3qtL3DNxMGQzutHJxFs8+y9TsT4WD0vL8uJN73vvfR1NTEc889x3PPPUdTUxN33333GZ9z5MgR1qxZQ2NjIxs3bmTnzp38wz/8A2732F1S0/MdfQokgmF6rfhgbxqPmfVZH5ylV61M6/Jux2/E6rr63def8/OHj1ukoq7s9K9hVSp0+/nx4mSVYv4HrsTudnL82c0kghGyK4vJrSpieP8R0DS0iCSPehfMJnHwVbDbMTvlQ1VLDKIA3SkXc62wCvp3o4qXjOgpPEXgA81RgWbLRsWkAqHrp/YnUCpGNCKjeg7nUszA62D4wF4CfdbUR0jaMUr0lRiDw4ADI2LHtOegTBuRoAg144YdPNmYYYgG5dwN9snz/QFpj8y7bi5/eFg0G+/+m+uJxxJ88b3fo+NoL6XVBXz6P9570nuydqa0p1oPjbQ/AoOhVCXJW5JL3/E+zISJM8tJfoWX7Y9YrY85QsI6t0sFp3yhkIruzWKBXrK0cZSeon+THHfR6vTVS8X9gVSyavl16atDGN5/GCMYxp6TRe70UzvevtPxnqmfw36GUfCzIaGE6Pv9/lGPu1wuXK7za3vv37+f5557js2bN7NihUxv/eAHP2DVqlUcPHiQmTNPfY38whe+wI033sjXvva11GNTppzbze07plLR/sTzJPwyglm4PD1LikqplOFV0erFk7ya8WPwrT2p8m7x2nO/AASs9kdOzelJBRPAt3r3tdC9qxndYWPOXfIB3/p7+cCvu2lViqTmz5/J8Da5oGWViN22Z/oUVNCHlpWN6rd0FQG549Z0uQPR8hvk8aypKMMSOLpF62Oaw9a2p05YjUU3Wd4UBThdl2P4JJDNnrUULdwCugu6ZX1qaMia+rCj7Pko00bcf4rWh5Xt4R+KYc9yEQzEySnJY/8b4uqJ20UkEGXKwhoWXz+HJ7/7CttfPoAnx8U//vS+1HjoicgvlvORnPYAGGgfAiCvOAeHy07n20ISy6eXoWkanbullFo5r4ZENE63Zc9duURcM7s2yd9A+eoRa/pIT7+M9WoaxWvS92+j/ck/YISj5EytxTtvxmQvZ9xIakKKVi9O21bzpYKamppUi8Lr9fLggw+e9z7feOMNvF5vilAArFy5Eq/Xy6ZNm075HNM0+e1vf8uMGTO47rrrKC0tZcWKFTz55JPn9NrviEqFEYly/BFx0ay/5/ZR7nvphFBLB7G+QXSnA+/cNP7ASZZ3r141rvJuoFVK5bk1p4/Y1q2kU2WOL6BOKcUb/0/G4aZeu4isojxi/iCdr0vWRM11K3j7K/8FQOHC6Qz8ahuaw4E5IEJMZ74bsxuc9fXQ24ZeWgORPWB3Q8CyzrZaM1r+ipEQMddU6/WHreM4WTOizDDRqOgnXJ71qHgfZmgnoKFFrLKEsxbNaEY5y8DowtTzQcWJ++KAk3jMgWnPtlofcdCcRBN2bN48zEhMbN8HBsmuKsJsCzBlWQPbX5R1X/+/rsA0FL/+llSbPvYvdzBr2amjxbOsaZdQIJJ6rM+KOC+qygeg620hiRUzylFK0bFHWkIV82ro3tWMGU+QVZKHt66UmD9I/y45VxUnkIq+V0Wf4507I23dJ814nLbHxAul5r03p20lUpkmPRapSGfd1/ni0SNfJS/v1DcFY4Hf76e88ke0traO2s/5VikAurq6KC09+fOztLSUrq6uUz6np6eHQCDAV7/6Vb7yla/wL//yLzz33HO8613v4uWXX+aKK8Y2ifiOqFR0PPUi8UEf7oqStB5tGtwmd2jeeTPSNlzIiMZSuQxl69eMax/JSkX2GUgFunwgj5dUHHxqCy2v7cXmtLP8gZsBaHtpO2Y8Qd6USmwkGD54DM1uw67LHX7e4gVEDwrp0IaFXNgso0lbsaxVK18E4U7QnSkNheZdhBmRKobutkhFslKhnUwqotFXrJyPMhyORRi+5+W5WYugTwgbQblwq7AcvzkURAyvTmh9DCdA04gn7ChPNuqEaY+eNmnntLwta5x++Ux6mvvx5LpYfst8Xv7VNnrbBykozePa9442vzoRWZZjZmh4hFQMdAwBUFiZDzBSqZhRjq9jkFB/AN2uU9ZYRec2aQNVLpkmJlhb96EMk9yGCrKrSlL7THpTlFyRxtMSO/YT7R3EUeClfJx/G5cCfLvfJto7gC3bQ+GK9KwKTwQ82a7z/gLIy8sb9XUmUvGlL30JTdPO+LVtmxDwU5FWpdRpyaxpionebbfdxl//9V+zcOFCPve5z3HzzTfz3e9+d8zn5R1RqWh/6g8A1N29IW2FTwADyUmDNFZTD27bjREM4yotGpeFciIcJdInF7ycM5CK5NSHmTDO+TXi4Rib/u0JAJY9cDMFU+UO+rDlTVF382q6npV8jeK1Sxl+S6ZxsmtKCB8wcJSXY3QcABT4rJaHTcr/en4x9IIqXpbSU5AzGzX0ffl5klQoGbnUtNEJukoliMXkLtDlvg7QMPxSMbB5FkHwMSvmfA+goQa6QdNTrQ9MiAcSgJ1Y3IHpyEKhERiKAQ4iUfCUeOlrDZJTlk9vi5/8inyOW+Ri5YZF6HadH/9fMV+7/WNX4nSdfmzXbX0wRkMjPhV9bValIkkqDiZJRRkdO6X1UTqjEofbQfubQioqloq4uvNVmWapuGxean+xIT+Db8mkQcnl6Zv1MbDNimpfuQDdef6j0JOFpC13yRXL0/bmJ13xwAMPcNddd51xm/r6enbt2kV3d/dJP+vt7aWs7NRt5eLiYux2O7Nnjxbezpo1i9dff33Ma0zfK7CFUEsnwaPiI5DOpbhQW1cqJyOdZ9f7XhftQfGaJWj6uRfCgh3iV+DI9eDynj6y3m6ZXiXtus8Fu37yEqFeH7lVRSy69xoA+poOM7ivGZvLwZQNa9n2ob8BoGTlfDr+60XQdfSw6CLctWVw+AD2mqko31tgs8OQ1fLQhFxohXNQvqNgz0PpJmCCrQDNLn4QyhJpadrou5JEfB+oMJrmxe6YjYoetrwpXGiBDhSAoxJNtYG7Dsxmq/VhEh+KAq5RrY/IcAJ0FzHDjpaTjRkxiGviUaHcbmCYxRsW88S3hURdc+9lPPW9V+g42kthWR63f+zMo5vJSpGmj9z99LbIeSqpK8KIG3QfElJR2VjJjp/Jh1PVojqMWJzOt6TVUb1iBqZh0vFqk2x7xaLU/nr+8IYV5jaFrNrTTwRd6hjYLDcN6ar5AkkkTaYO1/7FTZO8mj8/FBcXU1x8erO8JFatWoXP52Pr1q0sXy5EfMuWLfh8PlavPvV10ul0smzZMg4ePDjq8bfffpu6urGLcdO+/ZEsixYsno0j7/QXoUsdLT97GkxF0cqF5E6vn+zljAtKKfqSWR+XjU9MlyQV2ZVn/sNxWnfI8XMcy4oMBXnr+yJ6XPmpW1O5IYd+JqZKtTeuIny8jWjvAPacrFTWR87sWYR3ynvNbgkxHWVCEPSqmRAdAkc2+KWFhUf6/lrufFQyRMw9oqJWWHf22ug71nhMSJnDuRhN0zH8r8hzc5ahOn8tGwWldWIGhMBI1gcSc27PPan1YbqyrNaHvGZP6xCaTaf1iJzrSFyRiBlMXVxLcU0hP/mq9P3v/eKtZOWeeZTMMKRkeuKURopU1BbSe6yXRMzAmeWksKaA9iYRZVYtqKN713ESkTiewlwKp1cysOco0cFhHLlZo0LEup63sj7SeFoi2j/I8NsyilyUxi2D4z9+Uj6nVi8id+apdTYZTD5mzZrF9ddfz3333cfmzZvZvHkz9913HzfffPOoyY/GxkaeeOKJ1P8/+9nP8stf/pIf/OAHHD58mG9+85s8/fTT/NVf/dWYXzv9SYU1gllyxen7vpc6YoM+Op8RYV7d3RsmdzHngeDRVqLd/eguBwVL5p79CafaR7uINLMrS864nSNLLnaxcyQV23/4PLHhMEUzqph+s1SEQt0DtL0oVaIZ77+WLisdtnTdSnxb5f2VM70ac9iHnpOL0S5VCV3JKJi9MB8ArWIBRHrA5gZLiEnegpFkUtcJLq9KdBonppOaZoBEQu4SHM4lKKUwhuWCqmsl4tZpy4W+/YCOGugB3YEZdUrWh6lbWR8y9WHa3NL68MVB14gmdNzFXkylUTilDMNQ1C6o4Y2n5A56/UfX8vBXniboCzNtfjXXfWDVWc9nslJxIqnoax0hFR2Wf0VlYwUo6LAmP6oW1tG5XaoUlcssPcUWGSUtWzk75T8S7ujBt+sgaFpaVyIHtkhbJ7dxCs7CU5udXeqI+wN0Piskt+Hed0/yajI4Gx555BHmzZvH+vXrWb9+PfPnz+cnP/nJqG0OHjyIz+dL/f/222/nu9/9Ll/72teYN28eP/zhD3n88cdZs2bsGqC0bn8Y4Qj+fdKTLRrnnfGlgO4/bMKMxcmd2UD+4vQ1kklFOS+aM2578aQ9d1bl6a2rAVxeyZQw4wligQjOnLObs0SHw+z+mXworvz0rakL4bGnXkcZJiVLZpLXUMkuy0eg5PKltHxF7trtKkwUyJrdiDr8AponG7N7r7VnIRe6txh6gOIVqIBULLS8eZiB38j37hPnva12gZI7faUU0cjvABPdVoPNVooZOYSKd0nrY9CqgLga0Hgb5aoE1YqpF4GKWFMfLhIxJ4Y9S1ofQRNsTmKGDS0nBxWKMzws1YrhsGhRiqaUsmNrK7lF2eRX5/Obj0ob5GP/cic229nvOWIRITEOh2hcoqEYg11yPkrritj3vOgIKhsr6Hm7k1gwijPbRcm0ct78utwhlS8SnUnPVtGglC6bldp/xzOiJylYMvec82MuJfS8lBzBXHSWLS9dDO08gEoYZNVV4p2Xvl5Afy4oLCzkpz/96Rm3UepkofuHP/xhPvzhD4/7ddO6UuHfdwRlmLhKCvFUnPnO9lJGMuuj/PrL03fMTKnUXUzhqoXj3k/QIhXZFWdrf7hxZAuRCPYMjWnfb333WeLBCAVTy6lfJ0JApRTNv5HKRMPtlzO0cz/xoWHseTnoZgSVSOCqrCB2UAiTI0/IkqNhBkSHwZMPfXIXiiZtCIpXQNDyfsiZi4pK2Vt3j1QqNC3ben1pr0QjLxCPbQM0XO6rAUgMCaHRsxZCn1xc8YmgUvnkwm0MWK2QZOtD6USHTdB04gk7Cd0FaPgGIqDBsC+OpyCb9iO96Hadg9tlvPPG+6/kGcue+9r3rmDh5WMbaU6OkiZHS3ua+1L/zynIon2vTMlUza6ibUezfL+wDk2DTstJs3LJVBKRGH075QYhac1tJgw6n5bjrtpwzZjWcyki7g/QbwUdll172eQu5jww1CSVpPyFs86yZQZ/zkhrUuHbY9lyp7GDZqSrN1XeLb367OXmSxVDTfsJHDqO7nJScR6R1KEuKZ1nVZz9rjSnLB+AYPfQWbc9+NQWtv9QRjNXfPKWlIi0b8fbBFp7sGe5qbl6Kb0vS75HyeXLUlkfefMbiXe0gt0OPknXtHuFXNhqGyHmA2ceDMv7UcspRRJEK0CLgIqB7kFzVKbWo+kjpCIW3UQsKhNMbs8GHI7ZqEQ/hk90HjZVCGYMPFOgb4c8b9gHNg8qase05aFM3cr60IjF7Ri6C4VGKGCgOx1ETR2HNxcTjZzqYkCjZn4trW/34Ml1sfJdi3jtqSYA3vXxq856PpMID0v7KTla2t0spLB8SjGaptG2V85X1ZzKlJ6iemE9g0e7iA4FsbsdFM+qpX/nYcxYAk9JPrl14tI5sHWXNYKZl9ajpL2vbEUlDHKm1p6zZf2lhKEmy5Y7QyoyOAPSm1Tskv5zOhtF9bwkF678hY24S89c8r+U0fYrGTMrv+FyHN5Th4CNBan2R9nZz0W2RSoCZyEVg0e6ePEL0ktc8r+uZ9r1Iy6fx34jVaKa9cuwuR30Wh4bJWsWM7RJStZur+gePI1zSTRbPhURGdey5Qk50CqWQKgFNB2lS2tBy5uPGUnqKaagaSN/bslR0nh8L5GwmHC53NfidAmxTAw8CSqO7pkDfdKO0RxVaDASc04BoGFYOopEzIFhs1ofIRNsNmKmDcPpBjR8lkdF+zE5xzGrBXPl+1fyypM7iMcSzFhUy4xFI3kbZ0NwWKozHkvQ2X1MKhWlDcWEfCEGLSOsqlmVtO+0RJoL6+h4S85L2fwGbA4b3VvlLrh0xexUtS4ZSFd65Qp0R/qOYHY9Jy2ldK5SJIJhhg9IZSl/Yfq2aDO48EhbUhFu706VFNM5Ja/f8qZI5/n7+HCQPmsctvr29ePej5kwiPQNAZBVfvZKhbdWWl69e0+foKeU4uUvPoIZT1C7dg4rP31r6mdGLE7bH2Td9Tevxr//CNHeQWxZbux6AjMUxlFaQqJdPkzdNeVgJNCLKzE7LXKREGGpXmhVIbxzIGhlguTOx4xIG0Q7ofUBYLeLct5IiMW33TEfp0tK/MqMkbBsuW25V4NP1qh6RMOh/NIyMfp9gEYi6sS05VgjpAbo0vqIKxkd9Q1E0Gw64YhJdkkevv4gOcU5HNwu523Vuxbx629Lm+HW+0a75h3Y1UwoePqx3WHLnjvPsvDutCLOK6aU0LpbMj6Kagqx2XV63xbRZtWCOjq3WSLNpXJektbcZSvnpH5vyfdU8dqlp339P4UZj5+yTzxZCBw+zuBbe9Fselob8/Vt2o4yDLJqK9K61ZzBhUfakopjP/oVyjAoXLEgbUebzHg8VVIsWDrvLFtfuuh9eTNmLE72lBpyZtSPez+Rfj/KVGh2G67Cs9vf1l8p5+zg01sxYvFTbrP/12/Q8eYh7B4nV375faO8M7o27SE+HMJTkk/x4pmpqlHRyoUMWa2P/JXLiOwXzYSOXECdtXVgxNG8FaheaUdgF8GlVrwC5ReiSN4CVMQKDnOPTs61O+ahackpAA2Xe33qDt0I/BEMH5q9GC3Yg+SHNKIN7gXNjhoOgC0LFbNj2vNl6sM/MkJqaKKjCIcVustB3NSxe3NRaCTsdkCjan4t8ahBdWM5R/Z30t/po6jcy9V3jbQZfvbd57hj9ee4Y/XnaDl6amtfX59oOvKKLFJxREhWxbRSWncJqaiZX03HrhaUqfBWFZBb5qUj6aS5fAaRAT+D+6WKUb5KSMXwgaPi2uhxjWmSSClF79O/ZeeG93Dof3+exAmK9slE66OSLFtyxXLc5el7MU6GoJWsW3mWLTP4c0dakopQS0dKFDjlL/9iklczfvj2HMKMRHEU5JEzNX17rZ3PjfgInI/QNNwtegpPSf6oEcXToe7yOeSUFxAZDHDk+aaTfh7s9fHHrz0OwPJP3Exe1eiWStKboua6FaBMuqz3VOnVK1N6iqzKQkjEsZdVkjgqBMKWLWuz1cyE2DC48iEkYkyVPwuinYAGObNPPU4KaJoNp0vuXO2OBdhsI+6hxqC4Wdryb0D1SltJM2RQSzlrQYFpZAMaiUGZ5kjEnSQ0jzX1ocBuJ2baiBo2QGOgV6obnccH0XSNni4hA2vvWsZj/yV6jnd9/KqUe2bL0S6+/o8/l++PdPGBq/6RvZaw8kT4+sQZNL9YWl4dyUrFtBJad4sItGZ+DW1NzQBULazH397PcMcAul2nfEGDjJIqRf7MGjzF+QCpNlThyoVndW2MDwxy7CtfpeU/vokZiTDctJMDn/gM0Y6OMz7vQiPuG6br99L6qEljoygjEqXf8p8pvTJ9R/czuDhIS1LR+ujvwFQUX7YE75zpZ3/CJYqk9XDBkrnjcp+8FBDtH2Roh+UvcJ55BuEe6b97SscWGKXbbcy+U/rUrz/4GIMn3E137TzG4+/9V6JDQYpmVrHgg1ePeu7Avma6t+xDs9uY8f5rGdi8k9iAD0eBF1eOAyMYxF5QgOqXC5Nn1izM3lZxz/RL20DPloudVrkKBprke7eV5Jk9TbwqzBBoTjTXyToFp2stWdn34cm6M/WYGWvHDO8GdGyexeATMyzVJf+ag6KHMIZCoNkwonZMPRtl6kQDoqOIGzZiplQkgiEDu8dFNA6eolwMpTFt9TQO72hF0zUcOS6O7+8kO8/NzR8RktPdMcD9t3+VcCjK4lUzmb2wgYE+P1/+5A9POoahXiEn3qIcwsMRBjulQlA5vZSWZKViXk1q8qN6YR0dljV3yZw6HFkuuv4oraTyVVKRUErRkxrrPb1AUxkG7T/6H/bcfS+DG18Fm43y99+Fs6yUaHsHR//5a5PaCunfshMzKhW8dBaT97y8BSMcxV1eTG7jucVgZ/Dnh7S7kinDSJWpq9593SSvZvyQnrEYKxWksfCpf9MOUIrcWVPPu9catvQUnuKxmwMtuOdqihurCfX5efKerzN4tIut33yGx9/7r/hb+8ipKODar92LzTE6ufbtn4pmoXb9crIri+m0xHTl163Bv0V6+fmrV6ZcNB25cgfvmDoPs9PyoEjqKYqngBkFVxEqLgJOLW/BiJ7C1YCmnZycq2kadsd0tBNcNQ3/Rtln9iLotyKK3VPQIgPgLIThIZTultaHLR+UTmzYtFofDhKm6CjCYdCc0vow3SLUDEYsTwxL9Ljw2tn84oQqRY7XQ3fHAPfe8H9oOdJFVV0J//LQJ/j243+Lrmvs23GUzta+UcfQ3y2jrUUVXtqsjI+C8jx0XafniFQtaudX0/qWVHKqFzfQtllaflWWNXfn61bex1pxmgwcbiHU3I7udFByBj1F9+NP0PXILzAjUbIaZzLzP/6Vqg/fw8z//Dd0t5vQgYNCNiYJSd+WolWL0npUvOUR8VmpvO2atD2ODC4e0o5UDDUdIDbgw56bTeGy8bk2XgoY2LKT4YPH0F1OSq9O3z5lUqFfvGbJWbY8O5JBYm6rBD4WuHI93PbQpyicXkmwx8fPbv4/bP3GMyjDZMbNy3jvb/6B4sbqUc8J9w7R+nshCzM+sJ5EMJwSBZatX8PQG0Jac2dNJdHdIaOkfqlYOCrKQZloRfWoniZrERZhKFoGlp5Cy1uIiloVDdfYND9KqRSpsOVegdkuxjVa3EpktcmopUq2PgbC8m/MYbU+NKJh0JxO4qZOJK4BGgNdATRdY2AghCvbxZ5N0sYomVpC++Ee8otzeM+nrmWg1z+KUDz07D9SUV1McVk+i1bKnfZLz2wbteY+K5G0qMJL2wEhFVUzy2ndJa2PwupC4sEIof4ANqed8jnVtG2Wqa3qlTPp33UkZc1dvFCqjt0viG9I0apF2HOyT3muYr29dP7PI7Kfv/pLGr/5dXJmy6ijs6SEsr+4A4D2/34YMxY75T4uJJRSqYDAdLblHtiyk8Dh49g8LqrfNX4RdgZ/Pkg7UtFtOdOVXLE8rcfMmh+WHIeq26/FWZCetr1mLM7AVrnLLL7s/ElFuHcIAPc5VCoAPIW5bHj40xRMKUcZJs5cD+v//SOs//eP4MrLOmn7I4+9jJkwKFo4jcI5DfS+shUzGiOrtgK7A+I9vehuF3pC9ALuGXNIvC0XU90uY5m26kaIDkreR1SmGihaihqW86HlLZQgMEBzji0ES0WPomItoDnQonGItIHdi+q0Wh/dzQAYQxFpfcRGpj6k9WEnbtiIxHRAIxQBe5abhNLIrihAoVHWWEHQH6GktpC922V/t//VOrJy3Tz0n0/TcqSLippiHnr2H6msHak8rbtZKgYvPfNm6rFwMErQJyOlxZX5tFhGVzWzK2ixSEXtgmpa35LXqZhTTbjXR6BzEN1ho2LxNDpeEZ1KxZr56HYbSqmUGdzp2mlKKVq//X3MSITsObMpvf22k+6gy+58N46iQmKdXfQ+9cyYzv9EInisjWjvILrLiXdB40V//YnC8Z/KuHPlbdec16j4OxGhYOS8v96JSDub7oEtTUB6C4YCx1oZatqPZrNR+75bJns548bQzgMY4SjO4oIJmcBJkoqxaipORFZxHrf/9DMc+u02ply7kNzTmGeZhsnRJ6QkPuO91wLQ/QfrInbdWvxb5KKZu3gx4SapZrjrazC6XkHLKUD1WrkfuR7oBK1iBfTLc7S8GlRfEGxZkD0d1S/lf81x6qjhP0ViQGyr9ezl0CUCU7IXohkHwFUK4W6UIx8VV5haLiiNqC8BmoN43EEcEWWGo6C7XSQiYBhWtaJPLv69naKBWH7bQh7+9+fQNI1r37uCof5hHv1vaYV84d/vHUUoAFZdJZM2+5qOpR7rszwoPDkusnLdKVJRN6eSo6/KeapdUEvrW1IZqVnSQOsmseIum9+Aw+OkfaOQisorFgIwtGMfkc5ebFme04bS9Tz+JEOvvg66Tu0n/+qUeiSbx03F3e+n5T++Qf8fXqTszneN4Tcwceh71WptLpqdtvHgodZOBrftQbPpaS00vVBYN+1j2LTx39ga6tQTa+mOtKpURPsHCbd1g6aRvzB92X+3NS1RtHpRWhteJX1CCpfPn5Bea7L9cS6aihORVZTHgg9edVpCAdCzZR/hnkGc3myqrlpMfDiYqraUXbUKn0Uq8pYsILxbKgR2l5hZOWcuwuwSUapmyAVVK50LweOAhrJZosDcuWiaDZUQ/YFmP3tUsRk5huGXi7o99yrUgLQACMjrSMsDzJgH0Ej44qDZZOoDcc+MRjRwOkmYOpIIrzHsj+HMcePzR/B4PbQd68eV5SQUlw+0JVc1UlZbxI+/+TuCw2Ea59dzxQ0nX8y9BWLWFQ6NBLh1W2mk5bXyHm7eLe6ZdfOqOd4krZ+6hbW0bLNIxdIpKVJRe9ksfEfaGT7Wie6wU2npKTp+86L8LtZfdsr8GN+WN2n7nghGq++/j6xpU097TnMXLwQg0tKGMs3Tbnch0P2i6GFKr0rf1ubQTiGGeXOmZ7wpMhgz0qpS4dspvdicqbWn7bVe6lCmSdfv5YJRfh521pMNIxKl87eSrFqyZuzmRGdCZEBEf66is3tUjBfHrJyP2htWYnM66HnxDVTCILuhGldhLsH98kHqytIJJOLYy6sw2uRCaC8uwGxRaCXTUv4UWrZVEvbOSo2VarlzUUqhEnLR1exnJ47x3ocAhS13LdrAdhQKvEvRDsnYq9nTDIAxEADNiRFzYGhZoDQiIcBmJ2HYkHwvjVBUYctyk4gYZBfkQn+MrBIv9IRZ/e7FvPiYtHNu/NBlDPUP88h3ZXT1Y59/9ykJoscjF/hE3CAeT+Bw2Ok4JkLV8voi+tsGCQ6FsNl1Csry6DsuUyql9cX0HJQ2UPXCOv74jz8GoGbN7JRAs3RZI44cD3F/gB7LJr3ylpOtwmPdPRz956+CaVJ0w3WUvuu2M55TV3kZmsOOisWI9fTiKh9bxeh8EWrpIHDoOJrNRskV6WtqN9Qk7/uMLfep8fLh75CXN/7PKr/fT0XlrydwRZcG0qpSMbRLPvDTeTzLt+sgka5ebNmnL++mA7qff5340DDu8hKKzzD2N1Yo0yRqkQr3GIyvxoPYcIj2l6T60LBBxid7N1pZH+tW4N+2HZTCM6WB6Nsy5uhZsJTEMcs9E9FY2Grng/84aDqYUl3RildAUEivlj0TzAAouas/G6kwQnsxg1sAHVvxPZhW60NzTgEjAo4iiJsodyUYNkyVDUoj5jdAtxGP24knpPURienoWR4MpROKKECjs1WqHe3H5d+CmgL6O314i3NYffMC/vvrv0lVKa66+dQE0eUZKeFHQiJ8bDsk7Z3qaWUc32MFh80oo3O/fF/SUEz/kS5QisL6EkLdg0T9IVx5WZTOrUulkiZHSXtffVNGMKfWkDd7tK8HQPdjv8YMhsieNZPaT338rNUxzWbDVS0i3cjx07uuTjS6/yBVisJl89Jah5AhFWdGVrb7vL/eiUgbUqGUSr3J0znro88ykSlZu3Tc8eCXAjqelipF1bvWo9tPHpc8V8QDYZQhJWpXwYX5IG574U2MaJy8qVUUNNaJqc9mUeiXXrmCwdflYpC3fCnh7UI2XGUFYBroJTWoDrmztuUL6dGK58Jgk+y8eBnKSibVsmegEkPyuJ6Fpp/592wMihjO5l2PHu6GSDvYslHdVnhYXJ5vBuT8xH1CJhIxB3FT3DOjUQ0cThJKZziQACAUNnHleYhGDQqqCwgGohRW5rPpBfFHuf7u1by9t4Uff0PMth74+ztPe6E+0e9B12WbFmuEtHp6Kc17pPVRO7eK5h3ijlm3sJbjW8X8q3bZlNTUR9WKGTIavk1uEkqtVNLkiHXplStPWkd8YIDe34o7ZeWHPjhmkbarQiZmYr29Y9r+fGEmDNqfkjZW2XXn59symQi1dBJu60Kz2chP45u4DC4+0oZUDGzZyfCBo+hOBwVL03uUFKAwjcfMQi2d+HYfBF2j4sYrzv6EMSA6JFUAu8eFzTnxUz2mYXLgf+SiVH/LZWiaxsCbuzGjMdzlJXiqy1N6ipzptRhD/WhuD1pYLkbO6QtTegqUiB21ihUwIJUP8mdDXEr+ZE1BGVJ10WxnrrqoxADGsLRk7AW3YvbIpILmXYXW/SqgYfa2A5oYXtlcmDEHCVO0FdGgAruDhGEjHJbKRCSuYc/JwlAacU0qGHqW3BXNWjuN3X88jN1h45aPruXv7/8uhmFy3e0rufLG00/wJIPDADzZQnKOH5C2Rv2sSpoto6uG+dUc3yFVgfrFdRzfIkSrbsU02i3Tq6oVM+nbcQgjEsNd7CV/Ro0QvC1C2k5leNX1i8dQsRjZs2eRu2TRGc/piXAUiOg3PjA45uecD/pe30a0ux9Hfi6lV6Vv6nBv0kNn8ey0bTVnMDm4oKTi1ltvpba2FrfbTUVFBXfffTcd47DOVabJ4W9bM+nvvi5txY2xIT/DbzcDULhs/uQu5jyQtEgvWr4AV/G5T2qcCjGf2Eg783MmZH9/ipZnNzPc3IXTm820O9cBI34IxWuXMvzmNlQ0irO8bMRFc+5i4tYoqa1Qqid66Qzos7wo8iukPeEsBN26k3dVotmzwRDiwVlIRWLoOcBA98xGc9aheoT4ELUEkdkzwATlKgdTx7A8KuLJEdKEnVhMJjwiCRu4PZhKZzggQsz+3iB2l52jB8SUq7NzCICr3rOM115s4tDeFgqKcvm7f7/3jOsMBWT8LSvHja7rhIYj9LTJhbp2ZjnHUyLNkUpF1exK2ncJwahd0kDXdqlaVC2fkQoQK181d4TgRcS18U/zY+L9A/Q+/TsAKu95/zmJgh0F+XKeBy8OqWh7zKqm3HZN2k59gLSigAlpbWbw54ULSirWrVvHo48+ysGDB3n88cc5cuQId9xxxznvp/+NHQTebsaW7aHuntsvwEovDga37QGlyJlaO2EX44sNpRRdv7eyPm66csL2G/NLpcKZN/F3Rco02ffDpwFovOcGEQX6hul5WaygK266ksFXhWAUXL52ZJR09jyMVinZ68aQ/Fu3NGV6pdlkKoTiZRCWCQcte6r1mlY1w3b6Vo5SBsaQXCxt+beght6QaoejANUqUxBmUMiBMSSVgsRQTKY+Yg5icXHPjEV1cLowlE5gOA4ahCMKR46bhILyxkoScZOqmWVsfVFaiHd+8hp+9ZC8xkf+v9soKj3zxE0wIK+fneMBRlofBaV52GwaPZYw01uYxXDvMLpdR0VjmHGDvIp8YkMB4qEorvxsiqZX0PWGZc29OqmnkHNevGbpSaSh4+GfSJVizmxyl5ybDsleKJNAF6NSEWrpEOt9XaP69msv+OtdKER6+qUSCWd0NM0gg1Phgk5//PVf/3Xq+7q6Oj73uc+xYcMG4vE4jnMwrkoKn6puvRpn/oWbDLjQSApN8xelry138EgLkY4edNeZLZTPFXGrvO7MPdms6nzR9cZeho914sjxMO0uyQDpfvENVDxBzrQ6cqbWcORNqUjkLV9M34syoeDItRMHbJXTMC09hV5YBMcTkF2BCssduVa4BGVNfpBljTialrGN7jntuszgW6hEL+g52HLXYO75uOwvaw5E94GrBNVyBNBET+H0YsZtJJTYbkfDgN1JwrQRCpmAnahhw56XgxmOEotJO6S3RwhbVkkOSilWXDeXQDjEvqZjOF0Obnvf2aeQBvqknZNfJCSpeX+y9VGRGiUtrimkxwoUq55dRUeTpa1YPo32LZaeYvkMwr1DDB1sBU2jbOUczHic3o1CKkr/JAVzuGkXfb+TyZSqj957zqPLtmx5Pxmh8Fm2PH/0bRINTOHSeWmdSNr++O/BVOQvmpXWx5HB5OCiaSoGBgZ45JFHWL169WkJRTQaxe/3j/oC6H+jCUj/EcweixzlL05fUtFr2VkXLps/oULTeFA+9O05p78IjxeHfi5jmQ0b1uLIlv13PWtlfdxwBYGduzCDIeyFBdgSQUgksJdVYnaJHsAxfSFmp4gbdZs10VG5EgYt98zCBRCyKhVZlgmYZWyjncYcRxkB4l3fBMDmvQZCR1H9LwM6KiDvezxiW60cpaB0EhGpTMQDCmwOEgk7UcuPIpqwo1xuTDSGBoTQ+AMx3LluOpoHcLgdHLKIwA33rObn338egOvfvYqC4rMT9f4emXJJVjSOWxMe9bMrTtBTVHHMculsWFqfEmnWrZiaEmnWrJxJ52ty3ormT8VdmMfAll0khoM4i/JH+c+Y0SjH/99/AlB8843kzj93LZXNI79vM3zhSUXSljud9VJGJEr7kyI0rXlPxvAqg3PHBScVf/u3f0t2djZFRUW0tLTw1FNPnXbbBx98EK/Xm/qqqZE4cDMWJ6uu6qReazqh/YkXiA34cFeWnjF58VJHMiOjeIK8KZKIW+V1xwSPWQ03d8lFTNOY9hdSpQi1daWEpuXXrWFok7RB8letILxLjs+zYBnxvUIC7cX5kvdRWIcasMhF+VLwSSuBggUjlQqPkAqlrLwJ7eS+ulKKeNd/ohLdaI4KHMUfxGz5vmxedDVah0zWGElb7kGr9eGLg81JIu4gFhMBZixuQ7ncGEonGEig6RrRBLgLczCURlaJEIaZq6bQ2zlEttfD9MW1PPe42N2/9y/HlufQ1y2korhMSEWyUlHXWEHzLqlU1M+v5tg2WXPtwtpUMmnl/Fo6LT1F9cpGOl6Ti2/lWtEVJR1NS69ehWYbmSTqf+FFou0dOIqKqL7vw2Na559C98j7yYhcWEtkMxZncLsIeQuXpy+p6H7+deI+GRUvuTzT+sjg3HHOpOJLX/oSmqad8WvbtpHQoc9+9rPs2LGD559/HpvNxgc/+MHTxhF//vOfx+fzpb5aW1tTPytbf1naJuQp06T1lzK2V3/Pu9DtaeU5lkJs0Id/n9y9T0SA2IlIWD749uyJrVQceXwjINkSubViftT9vFzECpfNx1mUj+8NIRXeVSsJ7xKBmmvKFIyeFrDZ0Sx9hK1uOapTtiWvFFQCnAUodxlE5L06UqmQsU5OkU5qhnZgDL8K2HBWfg4SAVSPvD+w14AZg6wGGGoHmwczpKEceaiEjXjcCWhEIzo4XBimTigg2o6oYQO3G4WGf1hITXuzGHDFrD+dtbct4tEf/YF4LMGcxVOYt/RkP4hTob97CDihUnFghFQc2ynHXt1YTtseqVpk5zhJROJ48rNI+AMYsQRZJV5yKvLp3izErGLtAhKhML2vSOuj7JrLUq+nlEqJM0vv2IBtnBMIuktIhXmBScXgjn2YkSjOQi85006OuU8HmAmD5p/ITV/1ndePIngZZDBWnPPV7YEHHuCuu+464zb19fWp74uLiykuLmbGjBnMmjWLmpoaNm/ezKpVJ49buVwuXK5Tl9SLViw816VeMhjctodIVx/23GzKr1872csZNwa3iWI/Z3rdhAtNjahcBO3uiVPMmwmD47+VasPUO65MPd7zstyll117GZHjLcR6etCcTrLqqxlobQZNw65HiQL2+rmYbdIr18vrob0PbC40LYYCyJ+HFu0AZYDuBpfl2qhZ72NzxNYarCpFr2g2bAW3oHsaMZu/Jc/3LoXO163tpMJg2iuAAYwgSOsDlM1BImEjEhfNRNSwWh8RGPbF0Gx2/IE4rlwP/X0RqmaW89ar0n5YddM8/vojXwfgLz87dtFzV5sIMcurigj6wymL7or6YtrflskSp10nETPILcnF1yIW5XUrptH2htX6uGwW3Zv3YkRiZFUWkT+zls7fbsQIR/FUl+OdN+I/E9i9l/DhI2guF8XXjT8dU7NZ903GhbXp7t0oZLN47clC03TB8IGjhFs7sedkUbUhfYWmGUwuzplUJEnCeJCsUESj0bNsORq620Vu4/kHVk0WOn+7EZCLWFqPmVmz64VL5034vo2oaBBsronzqOjatJtIvx9XQS4Vl8maQy2dIxbKa5fS//vfA5C7cD7Rt4U0OafMIHFM+v6OmUswd3wDAN2lMAGtdBH4RXSrFcxFhS23Rk8tmiYXMU0XgaAyQ6PWZAa3oiL7QXPhKPoLlDIwOx+V5xTfAAcfkO06ZP9Gj0wtJAKAIwsjYSNmuWfGEzZMpxszrBMIJNB0JzFDw1WSiwoNo3tcQISKxjKadrdQPb2U119tIhyMMnfJ1JPcM3t7Bvivf/8Jt737apYuH61f6GwTklBeXZyqUhSVexloH0KZivyyPHqPiEhz6vKGEX+K5VNp+a2QuNrLZtH2ovh6VF+1BE3T6Hj6JUBsuU+8GPf8+kl5jWvWYfeOX5yt6XK3rUxj3Ps4G5Rh0JMUmqaxN0Uy6yN/0ewJrxhm8OeDC6ap2Lp1K9/85jdpamri+PHjvPzyy7zvfe9j6tSpp6xSnAl5s6embcsgEQzRs3FkdDFdEenuo+dFcZm8EE6ByUrFRJEKZZrs/a6UcutuWo3ukPdPj2XLXbB0Lg5vLv4t0qrzLl9KeLtc/NzzlhI/IL8ze3ERJKJo2UUw3AyAVrkCNSQjkeTPheQUiKduZAHJqQ9zRCB4YpXCXnArmr1QgsMi7WD3QnAAlAlZ9RCLgKccFTVR9jyUoRMLS6R5LKKjUq0PE3SNqGHDdDhQaPT1yrRHV7voII4elkrCmtsW8ssfigjvk1/8i1EX8abt+1m/9sN8/1u/5P974Ksnnc9kpaKipohj+5IizcpU66NhQTVHt4mupGFJQypErLyxgt59sk3V8hl0vNIEQPXVSwi1dODbeUC0LTeMiLCj3d0M/VF+F6W3nznf46ywKhUXMlBsaOcB4oM+7HnZFCyZc8Fe50LDt8uy5U7jqPYMJh8XjFR4PB5+/etfc/XVVzNz5kw+/OEPM3fuXF555ZXTtjhOB+/c6RdolRce/Zt3YkZjZNVVnjLPIF3Q8fTLKMMgf9Fs8hpPnww5Xhgx0SAkL/7ni7aX3mJg7zHsWW4a770h9XjvK1JtKblyBUY4TGCP9Pdzly4mtEOIhGdKPaavF+xONMtuW69bhuoWAqKVLYMheZ6WP29UpSIJzS7tIRXvHjnGoadR0cOgubEX3ik/T+Z8lN0Kh/4bADMqxMo0vIBGImACGvEgKIebhGEjGpTHYoYN0y4ppYHhBLrDRjhqklOcS8IU2+yDO1qw2XUGgsPEYwmWrpnFqnVSuentGeCvP/4g11/xUTrapdJwYN9RensGUuuOReP0dsl5qKgu5tieEVJx1HLPbFhQzbE3hVR4i7OJ+sM4c9xE+uR5xY3VBI62Ex8O4SrMo2jBdHpeEoJXtHzBKEO7zh8/AqZJ7uJFeBrqz/BbHgss4nRqGdeEIFmJLLl8edre/JiJhHhskMn6yOD8cMH+AubNm8dLL700Ifvyzktf5ty/WfrxxasXp22vVZkmnc9YWR8brrkwL2LKp/5EiMNMw2TPt58EYMYH1uMpzgcg2j+If69YRZesXcrwjp2oRAJnRTlayIcZ8KNn5aDF5Q7fMXVBSk9hq1mI2mkRgII6VLQP0CSdtOMH8ri7OrUG3T0D0FDxTsxoC4m+RzCGNwJgL7gZze5FJYZRfS9ax12BChwDRx6qTdaY6OgA7BhBHeXIxjRsqRHSWMKOaXdjohMIGGh2J9GIhi3HDYEwcasNYzrk3yvetZg//FZK9Hfdtx5N09i/9wi3XfdX+IZEiHrHXdfxzJMvE4nEePtAMyWlYhzV0dKLUgpPlovCkjyO7ZVpjylzq3jhW/K+KK7wEhgI4nA7iA7I/uqWTaH1NZmIqLtiLp1/lJZS1ZUL0W16yrWx5MqRJM/wsWb6n5dzUnnv3WP+nZ8WhrQ9tAnIpzkV4v5Aanql6rarL8hrXAz4dh4kEQjhyM8lb9bE3zRcDBiRKM0/eXKyl/Fnj7TI/ihM05KiUooBK7CqcOXCyV3MeUCEpr3Yc7IuWJRzsjyt6edPvNqe34r/SDuOXA8z774u9Xjfa9LPz5s9DVdxAb7NcpHNO7FKsWAZiUOynX3GMowWqU7o+QVgxsFTDMmwsNypaHYPKiITD5xAKjRbNppTKhfRY/dZhELHXvxB7CUyHqm6nxIhZ9Y0zONPW/tcACjIqgHThnKVoEybeFOgEYvYUA43ptLF8ErXiZk6hk08LAb6Q2g2jc42H7pdZ69lmT3rsgY6W/vIyfOkMj7+/cEf4RsaZtacqTzzh+/xrR9+kbXrZNz54P5jI+ez2TK0qi8F4KhFKqqmFNPxtvzMtDQxdQtraXkz6U8xneOvW6Ti8jl0/jHpojmPaN/gCZNEI9qO9v9+GEyT/LWXkTP7/O+YlSEVsAs1ydD5u1cwo3FyptWRl85Bh3+U93zR6sVpO/UROHyc5ocuXpR4MBg+7693ItKzVpcmCB5rI9o7gO5ypHWfMiU0Xb/mgiWrjpCK8+O5yjTZ8z3RUsy8+/pRtt+pMvWVy1GGwdDrcodZsOYyhh/7DgDuRSuIP/tvADgqKolvHgC7G5K222WLwCdlYvItsmuRCs0zQioAdPd0jJilt3BW46z4G3SPJD4qI4zZLOZXWtE1cOSLgIY5MASAMSx32PGBCGAjHrGhnFkYpk4kYoIm7pkJm+gohofj6A4HsahJUUMxfQd6KW0opntvG7OWN7Bj+9sArL99JW6Pk6OHW/ntbyTD5Ts/+hKz5sjd6cxZDbzw7B95+8ApSEVDKQNdfvz9QXRdw4gkUEpRVJVPpyXenLKsgX2/EBv3vOIsokNBnLke8sq8DB/rRNM1ylbMpvclKxHWIngAwf0HZLxX16n6yIfO9qseE1SyUnEBLpTKNGl/QkzEqt61Pn0rkUqlTO0melT8YsK//8hFfb35025B18Z/CTWTY+fvMKRFpSJdkYpqn9eYtjHnZiye+sCpOEFMN+GwPpCVeX7N7+4t+xg+1ok9282M94+MIgaPt+PbfRDNplNx45UE9u4j4fNjy80ha1oD0SOifHdXV2H6+sDuQFMScqZXz4c+yz2zdBH45O5b885GJYYhYYWHuSpHrcWWfx3oudgKNuCq/1aKUACojp9DrA/cNTA8JA+WrEF17wJ0jMEA2FwYIR1lz8I0dCLDlrYiYcewuVDoBMMmutNB3NQw7XZAo79P1j0ckimrK961mGcfk4t40pL7//z9tzBNk2uuW5UiFADl5TLZNTDgSz3WelR0IdX1pRzZLQSqalopxy0nzalL6ji6VYSZBaU5RP1hXHkeQp0yMVKzehZdb8hkTeH8qTjzsul5UYSYJ7Y+ep+RMK7Cq9fhrhlN0MYLMyYCYM058VNXQzsPEDregS3bQ3kax5wP7dhHuLUTm8eV1qP7Qzv2TfYSMiBTqbigSL7J8xfMPMuWly4Gt+/FCIVxFuWTN+fCCWZ1q+dtJs6PvR9+VHr89bdchuMEy++u38ldeeHKhbiKC+h59DEAvCtXED2wE0wTR3U9Zq/coTsa5mO2NwFgq12K6pH2hF62CHXk/wGg5c+BqARrYc+TdNITYMuaj2fGr05aozIimC2WDqP2f8HWf7BOgrQXlLsSzACmuxgIEUu2PmI2lMNjtT4U2GzETJ2E0gETnz+GzWGnpy+EJ9fN8WO92Ow6Q+FhIuEY0+fUsnh1I6+/8hbPPvMqNpuNf/inj49am8saeY7HRn4Px4/IMdZNrUiRiqnzqnl7a7Oc6zkVvPj7nWiaRmJYRmjrV06jY4tUR2pWN9JptZ4q1y4gNuhj4C0hGckRTCMcYfAVqXAU33j9SedsvDAjQqz0cxSHjwUDW6S1WbJmKfbsic+suVho+7VUW8quW5u2o6TKNFNC04uFXYefJi9v/OPOfr+fysryCVzRpYFMpeICIdzRPaJuT2M9RSoCee3S825NnAnJ8rQ6D5OiUPcAHRu3AzDtzqtSjyvDoNPK+qi48UqUUgxtkjvl/DWrCO2UY/TMX5qKOnfMWIJxXB7Xqxeg+i1L7pKFI/bc3lmoJKlwjf3DQXU+CrFeiUnHC+EOcBZgHJVqgjEkF8K4ZY0dj9gxHVmYpo1IwABNI2bYiSvxqwgEEtjcDmImeKzAr9JpEgS1+KpGnvyZEKq77rsW0zT5x8/9FwD3fGQDjbOnjFqbwyn3GTHrDh+gxSIVtdPKOWqRiilzq3h7qxAwt0ueUzmrgra35LG6pVPoapLqReXSaXRvlXNWsXaBeDqYitzGKWRVy3kbevU1zHAYV1UlOfMmTkNlRi8gqUhmfSyfP+H7vliI9g+ljLuqbx+/ydhkI3DoOHHfMLasi1cRzs72nPfXOxEZUnGBcPwnT6EMg8Ll8/HOS89KhVKKvtflDvNC55UkR0nN+PgrFQd//HuUqShZOhPvtKrU44NN+4n29GPPzaZ4zRIizceJdXahOZ3kLVkykvcxfynxQ0JK7LUzUT0yhaHnZoOZAHcR6AoSQdAdkDs1VanQxkgqlDJSVQq97n5o/qX8oGA5BDrAkYfpj4EjGzNmR7nyUaaNqKWxiBl2ErqMkIYiCt3lIKE0EpoQjJ4uCSPrtEZAqxpLOX64i5w8D7fctZZv/ccj7N19CG9+Lv/77z5y0vocjiSpkN+DYZi0HpP2R93Uco7sEZFmUUkuwwNBHC47AYv8NCypp+VNIRLZuU7MhEluVSGRzl6MSAxPST75M2rofl5cQ8uuXp163d7fShJp0XXXTKg2IWnPrU9w+zE25Me/32r5LJt4M7iLhbbHn0MlDPLmTCd3ZvoaDPZtkr9b7/z01a69U5AhFRcAiVCYrt/LB2fdBzdM7mLOA6HjHUR7+tGdDgoWX9gJHLt1h5EInZvbahKDB1tSaaSz7h2drphMhy29cgU2l3Nk6mPRQlRgiERnG+g2nNXVmH1toOnoTks4WjwF/HL3rZUuRLOcNMmbgaY7ICamUDjHFhGt+l+FaCfY86H4OlSbZH6YQ3JhVq56QMMwsgGN6KBMVcTiDky7B6V0wmETzS6tj0gMQGPIF8XmFI+K8qkltB/vx+VxsHWLlITffc9VvP32MR78sgSXffGfH6DIGrU9EVFrisNpmZB1tPQSjyVwuhzkF+bRelBIVCIspGPKotqU6VVBcTaJaJzc8nz8zbJdzWWz6dgoY7mVVy4i0tkjbUFNo+xaIRWBffsJ7t2HZrdTfP3ItM5EwAhJO8aWNbHtib7XtoFS5MyoH+WxkU5IBMO0/kLef7Xvv2WSVzN+nDjyns5hje8UZEjFBUDPHzZhhMJ4qsspWHLucc2XCgbeFHGid/6FF5om9Q/xcYxZmYbJtn96GGWYVF+zlIo1I+XoURbKV0v/3rdV2hp5K5YR3iN3OK6pMzHahDDYaxoxu0UPY6tZjOqVMrdWugBltT60PBl3VElS4Sgc01pV5y/k+RXvgvbnwAhBdh2qVVpl8U6ZtEj0h0G3EY/aMO1ZmKZOJGiNkBp2ooa4a4YiJo4cNwk1EhvvKpB/51w2lR1b38bhtHPPJ2/iv7/7K0zT5Nbbr+J9H7z5lOsLWec/K0v2cextMbqqm1bB8f0dmKaioDSPjreFNExZUEObVb1IWEmzUy6bQesf5TzVrGqk3SIVVesW0/k7aUMVLp2Lu1yIWPdjMgZYePU6HEVjO49jhRG0SEX2+ALJTofe5HvqyhUTut+LCd+uAxihCO6KkrQ+jsHtewm3d2PL9lB6gUbeMxg7MqTiAqD9KTHvqbptYku5FxNKKbp+L8K5i9EzdmSPn1QcfXwjA7uPYs92s+hv3j/qZ4NN+y0L5RwKls4lEQgQ2COEwbt8aYpUeOYtJn7I0lNMX4zZIo/bahajekZIRTLzA6/loRAX50nNefaLoYp2ofrkjkorvxO1X4K9cE0BpSB/FoQj4MjBTNgw7fmgdCLDBsmsjzgyQhqKgu6U1kfYChbr6xZ77gOW7iFmk2rCTX+xhqwcF08/Ka/9lw/8xWnfl6GQtAuyrAj65kNCKhqmV/D2dnHPnL6whre3SHUiL98tLaeGYjp3y88r51QxcFjGR7O9biJ9Phw5HkqWzqTzdxsBqLhpHQDRzi6GXpdKUtkdYw84GyuMgEzC2CZQSJkIhum39BQlaXwxTmZ9FCyafUH1UhcaHb+Rz9vy9WuwWVH3GUwe0veddIki3N6Nf+8hNJtO+Y1XTPZyxo3h/Ufw7zmE7nRclMwSR6586Md8wXN6XiISY893ngRg3gPvJqtsdHpq78siQiu5fBm63c7w9iYwTdy1NTjLy4jsFvLgnruY+AG5+7TPWIrR1gSAVr0A1SeTCnrJApTPChLzWjoZy30TR/5Z12oe/x5ggncZmu+ICD4deRhdzfLzRI4cU9SKN+8PAxqxuAPD5kahEw6D5rATN3VCURkx9Q/HcHicxEwobSgmMByhpKqAN7cKebr5PZfxq1/8nnAowrTptSeFhZ2IQEDu7JMismMHLUvu6ZXss4SZ0+ZV0X5QdBYxv2zfsLiOjl1CKmymkJnSuXX0bJFzV7FmPsN7DxHp6MGW5UmNknb9/JdgmuQtXYxnysT39I2gEC1bTs6E7bP3la2oeAJPTQXZDRMz+joZSE5LeBekry138Fhbajy58rYL5PabwTkhQyomGH1vSKnXO78RV1H+5C7mPND+pARPlV618qIch6fEC0C4d+icnnfsqdeIDvjJqixi2p3rRv3sVEJT/zYhEXlLF5Po6STR1w02G86qGoxOEd7Zi0sgPAR2F7rbCYkwOLJR3ing+5NKRTIwTD/znbDybUe1/1Q2rX8A84Akn1JxIwweBZubxHEx70kMJcDmJBF3YDhyUEonGjKtEVIbkbgGaERi4MhxYyjQLU1K2BrJnX1ZA/6hICXlBSxZM4vvf1uSUO/9y3efsXrW3yepqMWWIdWRA9YI6awq9lleFLm5HpRSlE8p5riV/VFYkoMyTArqiundLeSj9vI5tL4grabqa5fSYxG80nUrsLldRDu76HtWxhkr7n7fGc/feJHwi4eIPS93wvaZvDOuvOnKtK1Exn3D+PbKyG/RygWTvJrx49A3f4IyTIrXLiWvccrZn5DBBUeGVEww+i0VcvHqxZO8kvEjEQzR/YIITSs3XHtRXtNTKhexsBX1PRaYCYODD4thUuM9N5wURhY43EKkqxfd5aBw+XyUUvi3WVbdSxYT2dcEgGvaLIxWS0NROQ01IBdPvXIuqt8KDiueixbpkgxyzS6TH4AypV2A7fSaE2XGMA78HaDQyt+FpnuheyNoOipipbLmzgTDhKwKlGHDIAvQiPjioInhVcwUc6twVEN3O0kojeFAHNDo6RxG06D5SA+6TacvIBWUG+9czSsvbeXIoRZy87K56wM3nvGc9lsBYEXF+SilOHJQ9BKlpQV0HutD0zRiwyKmnbq4jtZdkkBqWG2rhlXTU3qKwuoCQh392D0uylfPo+81K+vD6nv3P/e8FRy2kJy5F0YInPDJNIzd652Q/QWb28XUTtfSOnW4f+suMBXZU2twlxVP9nLGhdigj/4/yuft9E9MQE5MBhOCDKmYQBiRaKqkWLR60SSvZvzoev6PGOEoWXVVF81ePKtMNAmxoQCJSOwsWwuO/eZ1gh19uArzaNhwsttn7yvSzihcOl/ujNs7iHX3oNnt5CyYRzjpTzFn0Sh/ilSIWPVCVK/lpFkyf0RPkTtNJj8ADGtaRT99L1e1/BBCh8FRiD7t86iD35YfVN+KeURGKRP9cvGL+2XqJDoUB90mrQ9rhDQSAc3pIK40gmFpfYRiJlmF2SQUeCvzMYHl6+fwx5el53/jey7ju98Qcej777mFnNwzCxZPJBUDvX58AwE0TSPQL+SprrGcY01CJAqKszENk6LaolTro7Ayj1gggqcwl0i7tEjK18wj0tZJpKsP3eVMEbyBlzYCUHz9hfNHSPiEXNm94zcpOhHJKkXxqsW4SiZWVHoxkbr5WZW+Nz/DB4T8Z9VWkFVbeZatM7hYyJCKCYR/32HMaAxncQHZU2omeznjRvcLkolReetVF62868jNSk2ABFp7zrr90KE2mr72MwAa77keu3u0DbMyTTp/K8LE0mtkdHF4u5CF7NmN6C4XoSYhHZ5FK4gflg9Zx/QlKT2FPopUzEP5pVxM3gnBUcnzo4xTrlMlApitP5T9TfsCYEc1i5sn+Ssh1APOPMx+yRhJDEbB5sSI20noVrUi5Z5pIxyFZOvD5nFhKIgrWYPfmr7IKc8iGonTMKOS/qF+Xtu4Dbvdxkfuv/Os57WnW6ZZSkoLObxPyENVfQmHm4Q0NC6r5/BbkmdiymJoWFxLzwHRXsQHpd1Qu3Z2KkCsYs2CVOujaOUCbG4Xgd17iXZ0orvdeFevOuu6xosUqTgP58PUvkJhOp6W5OXKNE4kTYTCKcJdlMZZH0O7DwKQN2vaJK8kgxORIRUTCN8ueZPnL2hM215rbNDHUJO0AkrXrbxor6tpGnlT5G7Df6T9jNvGhkP88TPfIBGOUrZiNjM+cLK3weD2vUQ6JVm1dJ0o9IdOSCWNHT+C6R9Cc3tw1U0l0WKNk06Zh9kh1SZb9YIRUlG6AALN8n1O/ci6HZYwND50yrWqjl9Cwg+eBrSym1Etv5Yx0rwZmMeEvClXLaChsmoAjYThRlofCRkrTdiJGVbrI6ahe9wYSmM4KK2P3u4ANoeNnt5h3FlOtm+XY3n3h9bxT/8gVZEPfuR2ausqznhelVJ0tvcCUFldyt4m0UY0zqtn/5vyfXllIdFQjGyvJxUilm+NsJbPrqb9DXnt6qVTGdwn56v8srn0vCRiutJ1QiD6n/09AAVXXn7BFPtmLIYxLELNiRhV7X+jicRwEE9VWVoHb/W8tBkjFMFTXZ7WQYdD260YhAvsoZPBuSFDKiYISqkRV7c0ddAERNhoiqmPp7L0or62d7oo6Qf2HjvtNso02fL3PyDQ0k1WRRErv3p/KjfkRHQ+LVWKsmsvw+Z2YQSDqUpF/mWrUy6a7tkLSbTtB9NALyhHSwQgEQFXLrizpZKg6WhFc1AhK+I8u3bkhVKk4mQtiDJjmG0/AkCv/SiaZkMd+TEAWuVNqKPPyFM7pToQ65Tx1JjfBJuDeMJOApkECUel9ZFQGoGAGFRFEgpPfhaGgsLaAhQwa2UD+3c143DaySp0sKvpILl52fx/n7v3jOcepPURi8m+y8qL2bVVHEXnLp7CQas6oVk26tOW1Kb0FHGfTIBUz6tiqLkb3WHHbiUwFsxpwPT5CR3vQHc6KF67BCMQZPDVseV8RI++jTHsP+vaT4XE4JCs2WGfkOmPpC138Zol6T2CaY28X8xK5ETDiETx7ZHKYcHi2ZO8mgxORPr+ZVxiGNy2B9+ug+hOR+rOOB0xmaY+5atl1LHl2c2n9as49PMX6di4A91p57J/fwB34cll7UQwRM9GMZOqvEUyQHxbt6HiCVw11bjrakesuRcsJX5YyIZj2iJMq/Vhq5oP/VK+p2A6miMLgnIR1bJPaG1Zo6SpDJAToFp+CNFucJailW+Q9knfZtBs4qCpTChaAKEwuPMxQwa4vRgJG3FTyEQkpMBuJ27aCEXEjyKS0LDnSLUiaDlb9vXLHXnIlJbE+g0r+K3lMnjPR2+nuKTgpPX9KTrape1UUlqI0+lg97bDABQXFRCxqhM9R6WSUVKeJ/4U9UW0bZfettslF6iq5dPpscZZK9fOp9sa+StcuRB7dhYDL72MGYnirq0he/ap75TNUJCe//on2v/3vbT99d0k+s7eEvtTxAeF6NkLCs774qmUYmCLVK3SOesjcPj4qLTedMXQzgOohIGrtAhP9TsvlCudkSEVE4TWR38HCPtPVzW1GY8zuF18BYovu/jl3Yo1C8iqLCLcO8T2rz5y0s8jA372fEfcFxf+7/dSOOfUvga9r27DjMbJqqsid5ZMaSStufNXrwTDILJf7jo985aSOCLf26cuxGgXIqFXz0f1yYVRL7LKq2HRDZA1kiui5YnQTXU/iUqKNgGz8zHMY5Jmqtd/Ak13oQ5+R35YfhXmwSdkO0PK8iZeQCMWkgyPSMAEu4OEYSOaEPfMSFxHd7swlYbfL2JW/3CMLK+Hnh4/7mwnWzbL7+/G96zmxd/Lxfzd7xmb9XVLsxxfdW053R0DdHcMoOsaiaAQl5mL6zi4WQiEsrJB6uZX4+8cwuayE2gTwlG9qpGulJ5iPl3PiYtm2TWrUaZJ96+eBKD45htPebGP7N9J22fuIbBRRKzGQB9dX/0cZuTcjNFifRK97ig8/9ZH8Ig1SeR0kL8ofe+Mjz30OCCmXa7isxPNSxXJ/JiiVQvTttpyoTE4OMjdd9+N1+vF6/Vy9913MzQ0dMbndHd386EPfYjKykqysrK4/vrrOXTo0Dm9boZUTADCnb30/VFGFavvuGGSVzN++PYexghHceTnkjO97qK/vt3tZOU//yWartH8m9dpfV6IgFKKthff4oX3f5n4cJj8mbVMvWPdaffT86Ll0HjNajRNQxkGvq1SmfCuXE70yAFUJIye68VR00D8qJAKx9QFmO3yvV61ADVgWXIXzUKZBkSsu2X3yJ2RVnojuCog1ofqEsJj9jyHeeAL8vOa+9Aq70IFjqEOSyuEnEUQGYCcKhLHhLiMtD4SYHeSSNiJWzqKSFRHc1ojpMPSngjHFa5cD4aCvAqp1lQ1lhKNxpm9sIHm9hbi8QRz5k1n9typYzr/+/eKT8aMmfXselOqFNPn1HLYmvaon1GGrzeAw2Wn94hMdmR7ZAqmdukUOt+S5+fkOUmEo3hKC9ATUSKdvWJ4dfkyfG9sIdreji0nh+IbRk99KNNk4Gffp+MfHiDR04m9rJKST/0jel4+saMH6f3GP6PMsafYxvulUuGcAD1FMq23cPl87FnpmS4Z6e4ToyhNo+HDd0z2csYNIxyh52WpRKZzteVC433vex9NTU0899xzPPfcczQ1NXH33acfvVVKsWHDBo4ePcpTTz3Fjh07qKur45prriEYHLspof3sm2RwNrQ/8TyYioKl88iurzr7Ey5RJHvGBUvnTVrPuGTxTBo/fBP7f/gM2/7pf3Dm57L/v5+he7OIJ7PKC1n+5Y+g2069vvhwkP4tchzJrI/ggYMYfj+27Gxy5sxm6AkxoXLPWYjZ24IK+sDhwlbRQLTT8quomo+xTyoNWtEsiPZKuwIN3CPhYZruQK/9KOahf8Js+T64KzH3/TVgolW8B33q36BpGuaur4BKQPnVmM1CeiheAUdfAnchKmFCThlqIJoSZUZDChxO4mGdUNgE7ERNHUdeFmZvhEBICMbx43JHPhAU7cGGD1zBL3/5FAB33DW6StHc3EplZRlO5+hpGYBdO6VHPW/BDHZvk7uT+Uunse9V0bi47PJxMWVBNR27RGMR7JILd1l9EYffipNdlo//YDMgAWJdVuR86dUrsblddD9q3SnfcuNJIV/DLzzF0K/+B4CcdTdS/JFPo2dl4ygtp+OLnyT4xssMPvojCu/66Kl+9SchPiBEzVF0/oFfSVJRksbZEkM7hCTnzZpCztTas2x96aJn41ZLaFqGd/7k6deCwRA22/gvoUErl+ZCYP/+/Tz33HNs3ryZFSuklf2DH/yAVatWcfDgQWbOPPm8HTp0iM2bN7Nnzx7mzJHq7Le//W1KS0v5+c9/zkc/Ora/u0yl4jxxYkJe9R0Tm7B4MWEmDDqf2QhA8WWTO7s+9/4NFMxpIOYPsvG+f6F78150p53Z993CDU88SMGs01dR+l5/CxVPkN1QTY411pusUuQtW4JmsxHZKxoKz9zFI62PutmogWNgxMDthYJa1IBM81A4EyJyZ467GE0f/UGiVbxHBJuRVsxdHwEVRyu5AX3mP0mlxH8YZUWca1PvQ7W9BppOokvaBYmYNe0xIO2TaBBwOEmYtlQKaTSho7mk9TE4JJ4RgXCCLK8Hvy9MfkkOBw7IhX76/Go2b9qJpmncfueIednjv3qGxhmr+P8+88VTnrvdTXK8Qiqk6jB9Vg3th6VCM9wj46KlVWKMVTa1lPYdzXJccVl7zWWz6HilCYCKVXPotqpGFddfQXD/AQJ79qLZ7ZRsuHXUaycG+hh4RBJUCz/wMUo/8QX0LPHUcM9aQMn9fwPA0GMPE+9qO+X6/xTxPhHAnu/kR7ijWzwRNG1S2oIThaGdQirSOR5cKUXbY2J4V379FZPa+qivXUxRwYxxf9XXyues3+8f9RWNji+p+US88cYbeL3eFKEAWLlyJV6vl02bNp3yOcnXdbtHprFsNhtOp5PXX399zK+dIRXnCf++I8QGfNiyPZN+MT4f9L22jWhPP46CPMquXj2pa9EddlZ/7a9SI6ZFC6Zxw6//L/MeeHcqIv106HtdCMSJQU8pa+5lS1FGgshB0R145iwifkzEd44pCzA75HFb1Ty0SB9EfYCGlj8VolYaqetkvYxm86A3/gvYrAmDnFnos/8NTZOpFPX2dwAFlddjdgiJoXwlZstu0HTivUHQ7cSDClxZJAwbsZilo4gKmRg19RFXuPOzMBXYc+V8VM0qBQ2WrG7kySckAv6a61dTUSlVlUQiwT/8w4MAPPLTXxEIjC5n9nQP0NnRi6ZpzJozlb07LPGlTSoa1dNLedvK/tAsK/CqacUkonHyKgvo3d0sv6uaAgkQy81CiwQwgmHclaXkL5pF//Ni/V5w5eU4i0eqB0op+r7zL5gBP86GGXhvveukc5x71U145i8FpQi8/uJJPz8V4klNRfH5aZw6f7sRgMJl83AWTowz58WGUor+zU2AHEe6ouflzfj3HcbmcVF1+zsj66Ompiale/B6vTz44IPnvc+uri5KS0+e3istLaWr62RROUBjYyN1dXV8/vOfZ3BwkFgsxle/+lW6urro7Owc82tn2h/niaSWomjlQnSHY5JXM360PS6+AZW3Xo3unPzjyKku4dqffZH+XUcoXjQd2xjWZMbi9L/RBJDyEUj4hwkdlLJ+3pJFRI8eEj1FTi6OmgaCR5OkYj5m+ysA6JVzUIOiKSCvFs3uxoxKKR3XqUvpevFVaMt/i+p6Cq18A5ouF3sVG0Id/QkA2syPYzz7SXk8YU2t5E+Dnl7MrCJQUaJhIRPRiAZOF4mwTihkkGx92LLdqGiM4YAINVub5cLZ0S+kZ90tS/in//ufAHz0/pG++U9/+iuOHpFKRigU5unf/J73vu9dqZ/v2SXnaOq0Gno7hggFImTluBnokJbK1NlV7Ht2L3anjd4jUrlwWrck9Uvr6Xh+K5pNJ94n56lq3SL6rb+NsmsvA9Nk8BUZIy269qpR5274D08TemsTmsNJ6af+Ac1+6o+l7MuuJrxrG6Ftf6TgjntOuc2JiPXKuXGWjJ9UiImavC8qbj69judSR6ilg0hnL5rDTkGa+joo0+Tod38OQO37bsFVNLlC0+aW7eSdh6ma3++nsrKC1tbWUftxuU5/4/SlL32JL3/5y2fc75tvSqvuVFUcpdRpqzsOh4PHH3+cj3zkIxQWFmKz2bjmmmu44YZz0wlmSMV5InlnnM5mOMHmdga37QZNo+oiZX2MBXaPi7IVY1faD+7YhxEK4yzKJ8+a+hje0QRK4a6vw1lSzNAmuYt3N86HeJREm1xM7VPmE932LQD0ynmoQdEUaAXTZedJUnGGiHPNXYVW/1ejHlNHHoZEEPLnoMws8B0FezbxwzIdERsQchDtDQJ2IkHRURhBnXA4OUKqo7ldmBGT4aEoaBqBYAJXjovYQIzpi2p4vWkXuq4RiPoJDIeYNr2Wy9dJiFowGOJBi2jUN9TSfKyFX/ziiVGkYley9bFwJrusUdLZCxvYb1UncrPlg27Kghp6djWj6RpDzUIusnOE8JUvnkLnq02AkIrDX5HXLLl8Gf7tTSR8fuz5+eQuWph63XhXG/0P/RcABe+9D2ft6UOh3DNk5DjedvyMH45JJKc/zodUDG7fS6RLTNSSoXTpiIHNUiHLXzArbePBw+3dhFo60Z0Oat9369mfcIGRnZ1FdvaZgwTPBMOQil9eXt6YyckDDzzAXXedXMk7EfX19ezatYvu7u6Tftbb20tZWdlpn7tkyRKamprw+XzEYjFKSkpYsWIFS5cuHdP6INP+OC/EBn0EDh0HTaNoVRpnfTwrd2LFqxfjqSg5y9aXLpIRyMWXjZgT+bc3AVKlAIjsl8qEe/YCEi37xPTKW4zmLcVMijQr56GGRFOg5VuTE7Eh+b8zf8zrUcpEHRKLbm3mx1G7RDNA0QIRTuRWYPQNgc1BImqD7AJM00Y0aqWQxnVwuzGUTsCa+oiZkFWUiwlobrknyCmTD7Zll8/hx/8jo6of/l93oOs6wWCI2zfcw/HmVioqyvjxT74JwB9f3zpqrafSU8xeNIUDlulVeFBEZSXlkvZZ3VhO/9Ee0DRClnlX2bQyIr1DOHI9OG0mRiiCq6SAvFlT6X9BWhYFV6xFs0lbyAgO0/WV/42KhHHPXoD3lr844/m0V4gI2gwFMAPDZ9zWCAYxLSGc4zxIRbKClzRRS1ckfVuKVi2c3IWcB/x7hezmTKvDnp2eEzjni+LiYhobG8/45Xa7WbVqFT6fj61bR/7Ot2zZgs/nY/Xqs7e3vV4vJSUlHDp0iG3btnHbbbeNeY0ZUnEeSNpyZ0+pxpk/MYFFFxtKqdR4Vtl1ayZ5NeNHIhSm+w9ie11+3drU48M75A4td+EClFJEDlikonE+8WOiobA3zIPBFoiFwO5GK2qAIdEUaPnWnXPC0iDYzxzINQpdL0HgGDjyIH855kHJ/DCGLa2FpxrQMOz5gEZoSKoWsagOTheG0gkG5G4maujoHhcmGoOD4tfQ2TkEwO59QgJqZxRz/FgHRUX53HX3TYTDYW7fcA+vvvIGubk5/PyX36e2VlxLg8EQSqnUUnfvSk5+zGTvdtlfeUkhkWCUHK+b47vFOl1FZY2l1fkAVM6rptOqbNgSIvSqunIxfalpiRUYwwGGXhOh14nhYf5nHiPe0YqtuIzSz3w5RTZOB93pQs8RUmP4Bs64baxHRLC23FxsnvFdgCJdvamMjOo7zuz8eSkj3NEtkx+aJq2oNMWgFR+Qv3DWJK/k0sesWbO4/vrrue+++9i8eTObN2/mvvvu4+abbx41+dHY2MgTTzyR+v9jjz3Gxo0bU2Ol1157LRs2bGD9+rGH/mVIxXlgaJfkHOSnsZo6eLSVUEsnmsOe1kLTnhffGMkzsGx7Y729RNvbQdfJnT+PRGeb5H04nLimziRh6SnsDfMxu0QZr5fNQLPZUT5LlOitlxc4R1KhjCjm9s/JPhreh7nrB6AMtMo1GMeFzMSOyRRDtDcEmkYsrIE7C8PUCVmtj6iho3ncmGj4/DE0TSMYSpCVn0VCKepmV9De2kt2roejbc0AvP/eW8nO9vD97/0kRSie/u0jrFy5hCzLY0EplVJ7+30Bjh8T46vpM+p5e4+EhxkhCUmbPq8WX88wDpedzv2WYCtmkYu6Qsx4Am9tCYO7hVxUrJ6bGsEsvXoVAy++jIon8EybQtYMCX8yoxF8v/sVAEX3fBx74dgqZDav9NGNobOQim5L91E2/spb3x+3g6nwLmhM6xHMzt/JWG/h0rm4S89/vHayMNQkf6MZUjE2PPLII8ybN4/169ezfv165s+fz09+8pNR2xw8eBCfFboH0NnZyd13301jYyOf/OQnufvuu/n5z39+Tq+b0VSME2Y8TvcfZDQnnUe0UumRKxZgP4/+4GSj4zdWeuStV6d67cNNQhqypk/DlpNNaOtGAJxTG9EcTuJHmwAxvTLaRESol8sHlvI1y469VqXCsGbKx0oq9n0dfPvF02La/Zg/kXA2lTUL1B4onI7Z2wdZ+RgDCtPjRQ2ZRIKWH0VcB5cbIwIBfww0G1ETXAVZqK4gepYlXHVLteGaW5fxyK+lEnLr7SIo/MXP5Q7kn77yOVauFM2P54R+eigUxu12s3e36EeqqsvoaR8kkTAoKvVyZJdUJ4qKc2gDGuZV0r+7BYfbTu9+ISFaRMZbq5dNpee3G9HsNpxujcRwEGehF++8GRz41jcAKL5h5G5/+A9PYw77sJdVkr3yijGdUwCbt5B4e8vZSUWPRSpKT98/PhsGtsr7p2jlwnHvY7KhDCPV3ixPY6Oo2ICPULO8H9M5BO1iorCwkJ/+9Kdn3ObEaiXAJz/5ST75yU+e1+tmKhXjRPcLm4h29+MsLkjrrI/+N8SzIZ1NfcId3fh2HwRdo+LGkQuU/02ZPshdtAA4QU8xaz7GUC/mQBdoOo76uZhdUnXSy2ehoj6IiqmTlmd5YpiiaUA/+xSKivSg9lvGWYv/FXX4GUiE0UoXkTjcBIARFj6fMLIBjfCgVA1ObH0ETmh92LLcKDQG+oXctFqGV7v3SZumrN5LOBylrqGSufNn0LRjDzt27MbhcPDuO24ZWduffIgA7LZMr+YumJ7K+5izeAq7XheyEQ/I2gqKhFDVza0iPBTEleOid7dUdLI80rooWTSD/tes1se6lQR37yV8rBnN5aLw6ivl2IPDDD76EAD5G96Hdg4GQnqutBnN4Jk1FdEuEam5ysYXimfG4gy8mf6komfjVsLt3dhzsym9Mn3/xntflTZU7owGHN7cSV5NBmdChlSMA0opWn4hCZM1d96QtgKu+HAQ/365iKRzSFKyYlSweE4qz0CsueXi5l0hH6bhPeJX4ZmziESzTF/YKqeiubMxu5OkohHll/I/nmI057mnW6q9/yrtksLFUPsujN2WPXfdTZg9h8DmINbaAZpGpGtYvCpiNsjKxVQ6oZA4d0ZNEWoqNIaGoqCJR0V+RR4JpSitLyQcjTJ9dg1vWVWZDe++Bk3T+NGPfgbAbbddT0nJSMnb5xu5GOflyYdzslIxb/4MdltW27XVZQR9YbJzXbTtk5ZH3C+ExuuVakf1nEoiQ0Hc+dkEjoqVd8WauSkdQsX1a+l+XKolxdddgz1XXm/o0Ycxh304aurJvWaE8IwFukte24yd2SAo2imz+M6K8VUqBt/akxKa5s48dcbMpbSW4OMAABWtSURBVA6lFM1W1kfNe25M26kPgK7nRS+VzpqQPxdkSMU4MLh9L4G3m9FdTqo2pK8By+Bbe8BUZNVVpm0IGkD3C9YHzjUjHziBvfsxhgPYcnPJmTOLeE8Xie4O0G24Z80jcUxIhaN+LioeQfU3A6CXNYLfivnOPSGNlLE596lgS2riQ1/wJWh9BYaOgDMPs9+K8M6bAkoX106lY7pyUUon7JNqSDRhB5cbU+kEhmNoukbUBGeuBwUkdFmL4RDNw7W3L+elF0Rsu+GOawkGQ/z8Z5JD8pH7PjBqfX6frCEnJxu75Qexe6eQijnzRyoVekI+GmYsrMPfF8DpttOxT1oeEes4srLl+bWXNdLfJPvwuDXRtlSV4czPTgW5lb5rAwDxjlZ8z1paig998pyqFACa0/L/OIvrYCxZqaioOKf9J9H7WnJUfGnaxpwHDjUTOHwc3e2i5j3pm0kU6elnaIeINMuunVxjvgzOjvT8a5lktD0m6YkVN12Z1qW4ZOujcFn6VilCLR0EDh1Hs9lGtaF8m0Ur4l2xbJQ1t2vqTHRPNvFma/Kjfi5m72HJ9fAUoOWUoPxy103eqcR5Zw60Unv/FcwYlF0uaaRWlUKf/i7i2+ViGhuMjfo3ZHlVxOK6CDX/pPWhZyWrFaJfaDkmzpeHLKGncsaJxeLMbGxg1pwp/OTHjzI8HGDqtHquuGLVqPX5/FKp8Frv21gsztsHpIVRX1dFyxG5w+9rGQKgqFAqNfWzyolH4uQV59B7UMhFqENaMHkFbpSp8M6oYXBLEyCTRIMvvgxKkbdsKe6aanHO/O//gEQCz+JVZC0697ahZlUqVDRyxu2SlQpX+blXKpRp0pckFWvHPp9/qWGoSapvBQtnpfXnVNezr4JSeOfPxF2eviPvfy7IkIpzhBGJpi7G6VyliA8HU/HB6aynSE4ZFCyZM+qDM6mn8K4Qw6Jk1Ll7zkKUUiSOy52PvX4OZo9oCvSyGZLVERBB2KhKhd1qg8QDp12LivSijkpkuz7v7yE6iHlU2mSmVgqxEFp+LUbvIDhcRPtD4HARj9vBI9WK1AipqYPbhUJjcDACGkTjitySHAygakYJcSPB9Nk1/O53GwF4913XMTTk45/+z78D8IlPfBT9T+6ye7pl1LLE8m44uP8o8XgCb34uve2iAq+bVs6BN4VoxPwyvppr2YFXTy9BmYriKSX4mnukitIhosiK5Y30W6Si/LrLGXhJBIKFV4twNLT1NcI7NqM5nBTd+4nTnsczQdOtcdwzpJUmhocxhoU8OcdRqRjcvpdo7wD23GwKlswd1zovBSQ1IclpqHREIhDk+CO/AbikjPkyOD0ypOIcMbBlJ2Y0hruihJzp9ZO9nHGj85mXMcJRsqfUULA0fT84U2XqE9wO4/0DhI8eA0072fRq1gLMgU5UYAhsduzVM0XnAOillntmwJpsyKkceaGkPXf01FMHyjQw3/w0mFEoXAIlqzH3PSIBZcVzie+W6RSV1QBoqOxyQMNw5AEaIZ/lrJmwgTvZ+oij6RoxE1zeLEwgHBfSYbhEcLlw9XS2bdmD3W7jvXffxD9/5ev09w8ye/ZMPvonrQ+A9g65g6+slPj2ZOtj7vzpbPuj3NlOn1FL0B8hO8/N8T1WVaJPLtIOq1JTWpsPQNn8enq2yaif22WCqWTkLxIg2t6O5nKRf5lMvviflf5+3k134qw6fSjc+SLaLmt2FBWNS0fQ9TshQ6VXr8LmOjnNNR1gJhIMviXJvoXLF0zyasaPlp//loQ/QFZdFeVp7KPz54QMqThHpCKQL182qQl55wNlGLRaSX8177kxbY8jNuiTqQ+g5IQytX+bVCmyZkzD7vVi+AaJt4tOwt04j0SzfNjaq6ajOZwjpKJESEWyUkHuCTH2LsueO3YyqVBKobb9NbQ+CboTffH/hXgAY+u/AaBVXoPqPQzObCLHpLUS6RJdQrAnCJpGPGEDT7ZFJkZaH5rHNar10dM7jNPtYO8Bmfro80vl4bob1zI4OMh3vv0wAP/6719KaSZORGeHaA0qKqUtsPuEuPMtr8h5KciWis+MeTWEfGE8OS56jvQAioEjlvVvWNZTXJOPGUuQW1fO8D45j6VXrUpVKfJXrcCWlUW8o5Xwrm1C9K6//aR1TSSiHSIsdVWde5XCCEfo2Sits4obxj7qeqnBv+cQRiiMIz+X3Bn1k72cccGMxVOC+Cl/+RdnNUfL4NJAhlScA5RS9G2S1kdxOucAvLmbSEcP9rwcyq9fe/YnXKLof6MJTEXOjPpRQlP/W/I7ylsiZl7JVFJHTT22XK/YcwP2WikLm72jKxUqIBclLfvESoXsX4VPTvhTx3+FOvzfgIa++kdopWswd34fwr2QPw2jW7QHev1lKP8gOLNIhEy0HC+GYUO5slFKJ5AUaho2NGvqwzcURdM0wlETT54bQyka5lcSjyeomVLG738vxkYfuPdWHn745xiGwfU3XMXVV5/699reLseWrFTs3SXHPm1aHfubpOUR6BWjL2+eGGXVTpc+dnlDERFfCHeum4GDQo5Myzincs1cfJYZXNHqRQy+vBGAwnVyYfb9Vjw0PItW4igdn3jSOttn3SLSJqTQVVl5li1PRnfSRK2qDO/8mWd/wiWKvk0y6VSwdF7aCk2HDzVjBMPY83LSemz/zw0X5d0WjUZZuHAhmqbR1NR0MV7ygiDc2kl80IfudJA/L30/cLpflBHMdM8z6HpeDKtODHNTSjHcZFlzL14IQOSATHq4Z0rkc6JFLn72ulkoIzEy+VEqbo+E5G5cyx4R+Wn5lovf4C6UGunnq+gAavtnZZt5f4dWezsqEcbYLoZPtkWfILFfQswSAflzM51FgEYs7gS0kakPwwYeDyYaw8Mx0GTqw12QjQKilseEPyajnbUzS/D5hqmfUsUVVy3jqadEQPzBD77ntOfs+HERd9bWVmMYRsqeW4vbUUpRN62cg9tlpDY0IOTC45I7xKJi0ZVUz6kgEYmTW55Pf5M8P9vrBFORO2sqsZZm4v0D2L155K1YRmJogOEXnwYg/xSx5ucCFZdzpZ0hETjaJsforqk+t30rReujvwOg8rZr0raCp0wzpZcqvWrlJK9m/EjGIOTPm5m2xOjPERfFUfNv/uZvqKysZOfOnRfj5S4Yhqw3ed7saZdEPPh4YMbj9G6UMb+yq1edZetLF+GObga2iE6i8qaRSOpoWzvx/gE0h4Oc2UIEom9LpcI1U7QjiRbRANhrZ6EGW8CIg8ONlleJSoQhZnk5ZJ2gNM9rBFsWJALgfxu84uqndvwdRHrBOwtt9v8GwNz7Uwj1QG4NRtgBiShayXSie0T/Ee70AxqhvhDYnMQTdpQ7GxWGYX8csFtTH05UJM7AgIgl+wYCOJx2dlt22P0BqYD8xftvZP++tzl65Dgul4v1150+oru5WQhDfUMNRw+3EgqG8XhctB2VNsqs2VPYcWg/2bkuWveKNmGwVQLD4j4hGS7rrV82vRTfm13kTalkeK/8bZSuW0nfs88DUHjN1egOB4NP/xIVi+GaPhv3vPNL81Vx0Z5o9tP//UVaxkcq/PsOj4yK33b1+Bc5yRjadZBIVx+2bA/Fl6VvenIyBsF7iTpoBoNBbOfRkgkGgxO4mksHF5xUPPvsszz//PM8/vjjPPvss2fcNhqNpvIIgJQnud/vv6BrHCu69x4kmIhTOL3mklnTuaJ/y058g0M4C73oDZVpexzHfvUswXiMgiWzied6iFvH0ffHTQQSCXIaZxKIRlHBIH3796DiCfIq6xhqPYavtws0DWduGcaxLUSiJnpBLWYggPK3Eo8osLlwRECLjpwfwzUX+ragNb+GVqowN30QBkWHoK/8F7RgBKXCxN/4BkQUtqX/i+jmRzGjJpqjlnC4G62gCn93AHIK8PcbqCw3gUSC4GCIiGFnKKaBx0EkFGd4MEFcafijCk9+FtGeANVTSjl+oIPpc2rYsmUbpkqw5opFPProUyhlcsUVKzFN45S/V8MwaDnehlImRUUFvPHHtzBVghmzZ/DGxp0YKo7LrpFQMaqmVtCzt4PCsjwGevpxuO10HWsHFN1vNxM2YkTDPkJGjOqlU2j/ze9Qhom9sZbjD30bTEX12tUM9fbS8cyvMOMJPNffwfDwmZ0wzwb/sJ9APIE9nsB2imNUStF3rBkzkSCW7z2n93fzy5sIJuIUr15AWFOE0/Rv48hvXiCYiFO+aiXBaATOMn57KUIpRce2XcQScfQpVWP+PSa3O5Vz7ESjsrLm7Bv9OUJdQHR1damqqir15ptvqmPHjilA7dix47Tbf/GLX1RI0zTzlfnKfGW+Ml+Zr3F9HTly5IJd18Lh8ISts7y8XIXD4Qu21smAptSFoXRKKW688UYuu+wy/v7v/57m5mYaGhrYsWMHCxcuPOVz/rRSMTQ0RF1dHS0tLXi93guxzIsCv99PTU0Nra2t5OWlZ0T6O+EYIHMclxLeCccA74zjeCccA0h1u7a2lsHBQfLz8y/Y6/T39xOzknrPBwUFBbjd6Wuffiqcc/vjS1/6El/+8pfPuM2bb77Jpk2b8Pv9fP7znx/zvl0uFy7XycJBr9eb1m/0JPLy8tL+ON4JxwCZ47iU8E44BnhnHMc74RiAk0zfJhpFRekbIX+hcc6k4oEHHuCuu86s4K6vr+crX/kKmzdvPokkLF26lPe///38z//8z7m+dAYZZJBBBhlkcAnjnElFcXExxcVnD5/6r//6L77yla+k/t/R0cF1113HL3/5S1asyMwcZ5BBBhlkkME7DRds+qO2dnQYU06OzLhPnTqV6uqxjXq5XC6++MUvnrIlkk54JxzHO+EYIHMclxLeCccA74zjeCccA7xzjiOdccGEmn+KsQg1M8gggwwyyCCD9MVFIxUZZJBBBhlkkME7Gxnv0wwyyCCDDDLIYEKQIRUZZJBBBhlkkMGEIEMqMsgggwwyyCCDCUGGVGSQQQYZZJBBBhOCtCMV6R6jfuutt1JbW4vb7aaiooK7776bjo6OyV7WOaG5uZmPfOQjNDQ04PF4mDp1Kl/84hcnxLb2YuKf//mfWb16NVlZWRfU0nei8e1vf5uGhgbcbjdLlizhtddem+wlnRNeffVVbrnlFiorK9E0jSeffHKyl3TOePDBB1m2bBm5ubmUlpayYcMGDh48ONnLOmd85zvfYf78+SknzVWrVp01+PFSx4MPPoimaXz605+e7KX8WSLtSEUyRj1dsW7dOh599FEOHjzI448/zpEjR7jjjjsme1nnhAMHDmCaJt/73vfYu3cvX//61/nud7/L3/3d30320s4JsViMO++8k4997GOTvZQx45e//CWf/vSn+cIXvsCOHTtYu3YtN9xwAy0tLZO9tDEjGAyyYMECvvnNb072UsaNV155hY9//ONs3ryZF154gUQiwfr169Muzrq6upqvfvWrbNu2jW3btnHVVVdx2223sXfv3sle2rjw5ptv8v3vf5/58+dP9lL+fDGJYWbnjN/97neqsbFR7d27V8GZE0/TBU899ZTSNE3FYrHJXsp54Wtf+5pqaGiY7GWMCw899JDyer2TvYwxYfny5er+++8f9VhjY6P63Oc+N0krOj8A6oknnpjsZZw3enp6FKBeeeWVyV7KeaOgoED98Ic/nOxlnDOGh4fV9OnT1QsvvKCuuOIK9alPfWqyl/RnibSpVHR3d3Pffffxk5/8hKysrMlezoRgYGCARx55hNWrV+NwOCZ7OecFn89HYWHhZC/jHY1YLMZbb73F+vXrRz2+fv16Nm3aNEmrygDk/Q+k9d+AYRj84he/IBgMsmrVqslezjnj4x//ODfddBPXXHPNZC/lzxppQSqUUnzoQx/i/vvvZ+nSpZO9nPPG3/7t35KdnU1RUREtLS089dRTk72k88KRI0f4xje+wf333z/ZS3lHo6+vD8MwKCsrG/V4WVkZXV1dk7SqDJRSfOYzn2HNmjXMnTt3spdzzti9ezc5OTm4XC7uv/9+nnjiCWbPnj3Zyzon/OIXv2D79u08+OCDk72UP3tMKqn40pe+hKZpZ/zatm0b3/jGN845Rv1iYqzHkcRnP/tZduzYwfPPP4/NZuODH/wg6hIwNj3X4wAJirv++uu58847+ehHPzpJKx/BeI4h3aBp2qj/K6VOeiyDi4cHHniAXbt28fOf/3yylzIuzJw5k6amJjZv3szHPvYx7rnnHvbt2zfZyxozWltb+dSnPsVPf/pT3G73ZC/nzx6TatPd19dHX1/fGbepr6/nrrvu4umnnx71wWkYBjab7ZKIUR/rcZzqDd/W1kZNTQ2bNm2a9JLjuR5HR0cH69atY8WKFTz88MPo+uQXvsbzu3j44Yf59Kc/zdDQ0AVe3fkhFouRlZXFY489xu233556/FOf+hRNTU288sork7i68UHTNJ544gk2bNgw2UsZFz7xiU/w5JNP8uqrr9LQ0DDZy5kQXHPNNUydOpXvfe97k72UMeHJJ5/k9ttvx2azpR4zDANN09B1nWg0OupnGVxYXLCU0rHgnRKjPtbjOBWSnC4ajU7kksaFczmO9vZ21q1bx5IlS3jooYcuCUIB5/e7uNThdDpZsmQJL7zwwihS8cILL3DbbbdN4sr+/KCU4hOf+ARPPPEEGzdufMcQCpBjuxQ+j8aKq6++mt27d4967N5776WxsZG//du/zRCKi4xJJRVjxUTEqF8K2Lp1K1u3bmXNmjUUFBRw9OhR/vEf/5GpU6dOepXiXNDR0cGVV15JbW0t//Zv/0Zvb2/qZ+Xl5ZO4snNDS0sLAwMDtLS0YBhGyvdk2rRpqffYpYbPfOYz3H333SxdupRVq1bx/e9/n5aWlrTSswQCAQ4fPpz6/7Fjx2hqaqKwsPCkv/VLFR//+Mf52c9+xlNPPUVubm5K0+L1evF4PJO8urHj7/7u77jhhhuoqalheHiYX/ziF2zcuJHnnntuspc2ZuTm5p6kZUlq1tJR45L2mLS5k/PAsWPH0nKkdNeuXWrdunWqsLBQuVwuVV9fr+6//37V1tY22Us7Jzz00EMKOOVXOuGee+455TG8/PLLk720M+Jb3/qWqqurU06nUy1evDjtxhhffvnlU573e+65Z7KXNmac7v3/0EMPTfbSzgkf/vCHU++lkpISdfXVV6vnn39+spd13siMlE4eMtHnGWSQQQYZZJDBhODSaIRnkEEGGWSQQQZpjwypyCCDDDLIIIMMJgQZUpFBBhlkkEEGGUwIMqQigwwyyCCDDDKYEGRIRQYZZJBBBhlkMCHIkIoMMsgggwwyyGBCkCEVGWSQQQYZZJDBhCBDKjLIIIMMMsgggwlBhlRkkEEGGWSQQQYTggypyCCDDDLIIIMMJgQZUpFBBhlkkEEGGUwI/n/q5+391rD1kQAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def f(x, y):\n", " return np.exp(-(x**2)) * np.sin(np.pi * x - y)\n", "\n", "\n", "bound = np.linspace(-4, 4, 100)\n", "Z = [[f(x, y) for x in bound] for y in bound]\n", "\n", "plt.contour(bound, bound, Z, 20, cmap=\"inferno\")\n", "plt.colorbar()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Basics of gradient descent" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Exercise 2.19" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "1. We first consider the minimisation problem\n", " $$\\inf_{x\\in\\mathbb{R}^d}\\frac12\\left\\langle Ax, x\\right\\rangle − \\left\\langle b, x\\right\\rangle.$$\n", " \n", " We work in dimension 2. Write a python function $f$ that takes as arguments $A$, $b$\n", " and $x$ and returns $\\frac12\\left\\langle Ax, x\\right\\rangle − \\left\\langle b, x\\right\\rangle.$" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "ExecuteTime": { "end_time": "2025-02-18T16:16:42.719040Z", "start_time": "2025-02-18T16:16:42.715677Z" } }, "outputs": [], "source": [ "def f(A, b, x):\n", " return 1 / 2 * np.dot(A, x).dot(x) - b.dot(x)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "2. Choose any symmetric, positive definite matrix $A$ and generate a random vector $b$. Solve the equation\n", " $$Ax = b$$\n", " using the gradient descent method (you are of course allowed to use, here,\n", " the explicit expression for the gradient). Can you illustrate the order of\n", " convergence of your method?" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "ExecuteTime": { "end_time": "2025-02-18T16:17:09.781325Z", "start_time": "2025-02-18T16:17:09.636938Z" } }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stderr", "output_type": "stream", "text": [ "/var/folders/tp/_ld5_pzs6nx6mv1pbjhq1l740000gn/T/ipykernel_32447/1819267217.py:28: RuntimeWarning: divide by zero encountered in log\n", " plt.plot(np.log(np.linalg.norm(xk - x_star, axis=1)), 'blue')\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "d = 2\n", "M = np.random.rand(d, d)\n", "A = M.dot(M.T) + np.eye(d)\n", "b = np.random.rand(d)\n", "\n", "x0 = np.random.randint(-5, 5, d).astype(float)\n", "tau = 0.01\n", "n_iter = 1000\n", "\n", "\n", "def GD(x0, tau, n_iter):\n", " xk = []\n", " k_list = np.arange(n_iter)\n", " for _ in k_list:\n", " x0 -= tau * (A.dot(x0) - b)\n", " xk.append(x0.copy())\n", " return np.array(xk), k_list, xk[-1]\n", "\n", "\n", "xk, k_list, x_star = GD(x0, tau, n_iter)\n", "plt.plot([f(A, b, x) for x in xk], \"red\")\n", "plt.scatter(n_iter, f(A, b, np.linalg.solve(A, b)), c=\"blue\")\n", "plt.xlabel(\"Iteration\")\n", "plt.ylabel(\"Function value\")\n", "plt.title(\"Convergence of Gradient Descent\")\n", "plt.show()\n", "\n", "plt.plot(np.log(np.linalg.norm(xk - x_star, axis=1)), \"blue\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "3. Plot the level sets of the function $f$, and represent the successive iterates\n", " on the graph." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "ExecuteTime": { "end_time": "2025-02-18T16:17:12.752200Z", "start_time": "2025-02-18T16:17:12.592610Z" } }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lim_inf, lim_sup = -5, 5\n", "X = Y = np.linspace(lim_inf, lim_sup, 100)\n", "xx, yy = np.meshgrid(X, Y)\n", "Z = np.array([[f(A, b, np.array([x, y])) for x in X] for y in Y])\n", "\n", "plt.contour(xx, yy, Z, levels=10, cmap=\"inferno\")\n", "plt.colorbar()\n", "plt.plot(xk[:, 0], xk[:, 1], \"red\")\n", "plt.scatter(x_star[0], x_star[1], c=\"blue\")\n", "plt.xlabel(\"x1\")\n", "plt.ylabel(\"x2\")\n", "plt.title(\"Level Sets and Gradient Descent Path\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercice 2.20\n", "\n", "We now consider a function $f$ of $d$ variables.\n", "\n", "1. We aim at approximation, numerically, the gradient of a function $f$. In order to do\n", " so, we resort to a centred difference methods. In other words, we write:\n", "\n", " $$\\dfrac{\\partial f}{\\partial e_i}\\simeq \\frac{f(x+\\delta e_i)-f(x-\\delta\n", " e_i)}{2\\delta}$$\n", " for $\\delta>0$ small enought where $\\{e_i\\}_{i=1,\\dots,d}$ is the canonical\n", " basis of $\\mathbb{R}^d$. First define the vectors $e_i$ in Python. Second,\n", " write a function `gradient(F,x,d,delta=1e-05)` that returns the discrete\n", " gradient of the Python function `F`. You can test your code on the following\n", " toy function:" ] }, { "cell_type": "code", "execution_count": 240, "metadata": { "ExecuteTime": { "end_time": "2025-02-04T18:12:28.620072Z", "start_time": "2025-02-04T18:12:28.615982Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[2. 2.]\n" ] } ], "source": [ "import numpy as np\n", "\n", "\n", "def F(x):\n", " return x[0] ** 2 + x[1] ** 2\n", "\n", "\n", "def e(i, d):\n", " return np.array([1 if j == i else 0 for j in range(d)])\n", "\n", "\n", "def gradient(F, x, d, delta=1e-05):\n", " return np.array(\n", " [\n", " (F(x + delta * e(i, d)) - F(x - delta * e(i, d))) / (2 * delta)\n", " for i in range(d)\n", " ]\n", " )\n", "\n", "\n", "print(gradient(F, np.array([1, 1]), 2))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "2. Write a code that takes, as arguments, $x_0$ and a step size $\\tau$ and returns the\n", " sequence generated by the gradient descent initialised at $x_0$ with fixed step\n", " size $\\tau$. Test your code on `F`." ] }, { "cell_type": "code", "execution_count": 224, "metadata": { "ExecuteTime": { "end_time": "2025-02-04T17:55:42.711021Z", "start_time": "2025-02-04T17:55:42.705568Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[array([1, 1]), array([0.8, 0.8]), array([0.64, 0.64]), array([0.512, 0.512]), array([0.4096, 0.4096]), array([0.32768, 0.32768]), array([0.262144, 0.262144]), array([0.2097152, 0.2097152]), array([0.16777216, 0.16777216]), array([0.13421773, 0.13421773]), array([0.10737418, 0.10737418]), array([0.08589935, 0.08589935]), array([0.06871948, 0.06871948]), array([0.05497558, 0.05497558]), array([0.04398047, 0.04398047]), array([0.03518437, 0.03518437]), array([0.0281475, 0.0281475]), array([0.022518, 0.022518]), array([0.0180144, 0.0180144]), array([0.01441152, 0.01441152]), array([0.01152922, 0.01152922]), array([0.00922337, 0.00922337]), array([0.0073787, 0.0073787]), array([0.00590296, 0.00590296]), array([0.00472237, 0.00472237]), array([0.00377789, 0.00377789]), array([0.00302231, 0.00302231]), array([0.00241785, 0.00241785]), array([0.00193428, 0.00193428]), array([0.00154743, 0.00154743]), array([0.00123794, 0.00123794]), array([0.00099035, 0.00099035]), array([0.00079228, 0.00079228]), array([0.00063383, 0.00063383]), array([0.00050706, 0.00050706]), array([0.00040565, 0.00040565]), array([0.00032452, 0.00032452]), array([0.00025961, 0.00025961]), array([0.00020769, 0.00020769]), array([0.00016615, 0.00016615]), array([0.00013292, 0.00013292]), array([0.00010634, 0.00010634]), array([8.50705917e-05, 8.50705917e-05]), array([6.80564734e-05, 6.80564734e-05]), array([5.44451787e-05, 5.44451787e-05]), array([4.3556143e-05, 4.3556143e-05]), array([3.48449144e-05, 3.48449144e-05]), array([2.78759315e-05, 2.78759315e-05]), array([2.23007452e-05, 2.23007452e-05]), array([1.78405962e-05, 1.78405962e-05]), array([1.42724769e-05, 1.42724769e-05]), array([1.14179815e-05, 1.14179815e-05]), array([9.13438523e-06, 9.13438523e-06]), array([7.30750819e-06, 7.30750819e-06]), array([5.84600655e-06, 5.84600655e-06]), array([4.67680524e-06, 4.67680524e-06]), array([3.74144419e-06, 3.74144419e-06]), array([2.99315535e-06, 2.99315535e-06]), array([2.39452428e-06, 2.39452428e-06]), array([1.91561943e-06, 1.91561943e-06]), array([1.53249554e-06, 1.53249554e-06]), array([1.22599643e-06, 1.22599643e-06]), array([9.80797146e-07, 9.80797146e-07]), array([7.84637717e-07, 7.84637717e-07]), array([6.27710174e-07, 6.27710174e-07]), array([5.02168139e-07, 5.02168139e-07]), array([4.01734511e-07, 4.01734511e-07]), array([3.21387609e-07, 3.21387609e-07]), array([2.57110087e-07, 2.57110087e-07]), array([2.0568807e-07, 2.0568807e-07]), array([1.64550456e-07, 1.64550456e-07]), array([1.31640365e-07, 1.31640365e-07]), array([1.05312292e-07, 1.05312292e-07]), array([8.42498333e-08, 8.42498333e-08]), array([6.73998667e-08, 6.73998667e-08]), array([5.39198933e-08, 5.39198933e-08]), array([4.31359147e-08, 4.31359147e-08]), array([3.45087317e-08, 3.45087317e-08]), array([2.76069854e-08, 2.76069854e-08]), array([2.20855883e-08, 2.20855883e-08]), array([1.76684706e-08, 1.76684706e-08]), array([1.41347765e-08, 1.41347765e-08]), array([1.13078212e-08, 1.13078212e-08]), array([9.04625697e-09, 9.04625697e-09]), array([7.23700558e-09, 7.23700558e-09]), array([5.78960446e-09, 5.78960446e-09]), array([4.63168357e-09, 4.63168357e-09]), array([3.70534686e-09, 3.70534686e-09]), array([2.96427748e-09, 2.96427748e-09]), array([2.37142199e-09, 2.37142199e-09]), array([1.89713759e-09, 1.89713759e-09]), array([1.51771007e-09, 1.51771007e-09]), array([1.21416806e-09, 1.21416806e-09]), array([9.71334446e-10, 9.71334446e-10]), array([7.77067557e-10, 7.77067557e-10]), array([6.21654046e-10, 6.21654046e-10]), array([4.97323236e-10, 4.97323236e-10]), array([3.97858589e-10, 3.97858589e-10]), array([3.18286871e-10, 3.18286871e-10]), array([2.54629497e-10, 2.54629497e-10]), array([2.03703598e-10, 2.03703598e-10])]\n" ] } ], "source": [ "def gradient_algo(x0, tau, n_iter, F, d):\n", " x = x0\n", " history = [x]\n", " for _ in range(n_iter):\n", " x = x - tau * gradient(F, x, d)\n", " history.append(x)\n", " return history\n", "\n", "\n", "print(gradient_algo(np.array([1, 1]), 0.1, 100, F, 2))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We now apply this to the least square problem to test our algorithm: fix\n", "$\\alpha_0 =3$, $\\alpha_1 = 2$, an integer $N$ and generate a random vector of\n", "size $N$ by calling `Xi=numpy.random.rand(N)*2-1` (this generates numbers between $-1$\n", "and $1$). Generate a “noise” vector `Wi=numpy.random.rand(N)*2-1`. Finally, set\n", "`Yi=alpha0+alpha1*Xi+Wi` (the set of noisy observations we have access to). We\n", "want to see whether we can recover the values of $\\alpha_0$ and $\\alpha_1$ from\n", "the knowledge of `(Xi, Yi)`. To do so, we define, for an array $A = (a_0 ,\n", "a_1 )$,\n", "\n", "$$E(A)=\\frac{1}{N}\\sum_{k=1}^{N}|y_i-(a_0+a_1 x_i)|^2$$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "3. Write the function $A \\mapsto E(A)$ in python, $A$ being coded as an `numpy`\n", " array. The vectors `Xi` and `Yi` are `numpy` array defined globally." ] }, { "cell_type": "code", "execution_count": 225, "metadata": { "ExecuteTime": { "end_time": "2025-02-04T17:55:48.068018Z", "start_time": "2025-02-04T17:55:48.065662Z" } }, "outputs": [], "source": [ "alpha0 = 3\n", "alpha1 = 2\n", "N = 100\n", "Xi = np.random.rand(N) * 2 - 1\n", "Wi = np.random.rand(N) * 2 - 1\n", "Yi = alpha0 + alpha1 * Xi + Wi\n", "\n", "\n", "def E(A):\n", " return np.mean(np.abs(Yi - (A[0] + A[1] * Xi)) ** 2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "4. Plot 20 level lines of $E$. Is what you observe coherent with we might expect?" ] }, { "cell_type": "code", "execution_count": 226, "metadata": { "ExecuteTime": { "end_time": "2025-02-04T17:55:53.451076Z", "start_time": "2025-02-04T17:55:53.293559Z" } }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "\n", "bound = np.linspace(-10, 10, 100)\n", "Z = [[E(np.array([x, y])) for x in bound] for y in bound]\n", "\n", "plt.contour(bound, bound, Z, 20, cmap=\"inferno\")\n", "plt.scatter(x_star[0], x_star[1], c=\"blue\")\n", "plt.colorbar()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "5. Minimise $E$ with a constant step-size gradient descent using the discretised\n", " gradient you computed earlier. Run your code with several values of $\\tau$\n", " and find the best value for $\\tau$." ] }, { "cell_type": "code", "execution_count": 232, "metadata": { "ExecuteTime": { "end_time": "2025-02-04T17:57:18.424095Z", "start_time": "2025-02-04T17:57:18.364818Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "tau = 0.01, x = 2.9267989063524977, y = 2.479397426488201\n", "tau = 0.06210526315789474, x = 3.0423146382848048, y = 1.916948653422947\n", "tau = 0.11421052631578947, x = 3.0410604575195848, y = 1.8931782083689095\n", "tau = 0.16631578947368422, x = 3.041011907165113, y = 1.8922593962938912\n", "tau = 0.21842105263157896, x = 3.0410102257986824, y = 1.8922275765785324\n", "tau = 0.2705263157894737, x = 3.041010174027455, y = 1.8922265968174143\n", "tau = 0.32263157894736844, x = 3.0410101726257173, y = 1.8922265702226346\n", "tau = 0.37473684210526315, x = 3.0410101725880336, y = 1.8922265695921598\n", "tau = 0.4268421052631579, x = 3.0410101725894942, y = 1.8922265695855385\n", "tau = 0.4789473684210527, x = 3.041010172589047, y = 1.8922265695800402\n", "tau = 0.5310526315789474, x = 3.0410101725871, y = 1.8922265695806482\n", "tau = 0.5831578947368421, x = 3.041010172590711, y = 1.8922265695834652\n", "tau = 0.6352631578947369, x = 3.0410101725873564, y = 1.8922265695777054\n", "tau = 0.6873684210526316, x = 3.041010172587915, y = 1.8922265695785696\n", "tau = 0.7394736842105263, x = 3.0410101725881757, y = 1.8922265695866305\n", "tau = 0.791578947368421, x = 3.0410101725829963, y = 1.8922265695799831\n", "tau = 0.8436842105263158, x = 3.041010172588228, y = 1.892226569583048\n", "tau = 0.8957894736842106, x = 3.041010172468627, y = 1.8922265695876346\n", "tau = 0.9478947368421053, x = 3.040982577460321, y = 1.8922280277145846\n", "tau = 1.0, x = 1.417896283504526, y = 1.9779924939981015\n", "(np.float64(0.01), np.float64(2.479397426488201))\n" ] } ], "source": [ "tau_list = np.linspace(0.01, 1, 20)\n", "\n", "\n", "def gradient_algo(x0, tau, n_iter, F, d):\n", " x = x0\n", " history = [x]\n", " for _ in range(n_iter):\n", " x = x - tau * gradient(F, x, d)\n", " history.append(x)\n", " return history\n", "\n", "\n", "list_tau_y = []\n", "for tau in tau_list:\n", " history = gradient_algo(np.array([2, 3]), tau, 100, E, 2)\n", " x, y = history[-1]\n", " list_tau_y.append((tau, y))\n", " print(f\"tau = {tau}, x = {x}, y = {y}\")\n", "\n", "best_tau = max(list_tau_y, key=lambda x: x[1])\n", "print(best_tau)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "6. Check that we find a good approximation for $(\\alpha_0,\\alpha_1)$. Show datas\n", " `(Xi,Yi)` and the line $y=a_0+a_1x$ that you obtain, for $x\\in[-1,1]$." ] }, { "cell_type": "code", "execution_count": 231, "metadata": { "ExecuteTime": { "end_time": "2025-02-04T17:57:15.047877Z", "start_time": "2025-02-04T17:57:14.971370Z" } }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "best_A = gradient_algo(np.array([2, 3]), best_tau[0], 100, E, 2)[-1]\n", "\n", "plt.scatter(Xi, Yi, label=\"Data\")\n", "plt.plot(Xi, best_A[0] + best_A[1] * Xi, color=\"red\", label=\"Fitted line\")\n", "plt.xlabel(\"Xi\")\n", "plt.ylabel(\"Yi\")\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "studies", "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": "3.13.3" } }, "nbformat": 4, "nbformat_minor": 4 }