{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## EMD Demo\n", "\n", "[EnergyFlow website](https://energyflow.network)\n", "\n", "In this tutorial, we demonstrate how to compute EMD values for particle physics events. The core of the computation is done using the [Python Optimal Transport](https://pot.readthedocs.io) library with EnergyFlow providing a convenient interface to particle physics events. Batching functionality is also provided using the builtin multiprocessing library to distribute computations to worker processes.\n", "\n", "### Energy Mover's Distance\n", "\n", "The Energy Mover's Distance was introduced in [1902.02346](https://arxiv.org/abs/1902.02346) as a metric between particle physics events. Closely related to the Earth Mover's Distance, the EMD solves an optimal transport problem between two distributions of energy (or transverse momentum), and the associated distance is the \"work\" required to transport supply to demand according to the resulting flow. Mathematically, we have\n", "$$\\text{EMD}(\\mathcal E, \\mathcal E') = \\min_{\\{f_{ij}\\ge0\\}}\\sum_{ij} f_{ij} \\frac{\\theta_{ij}}{R} + \\left|\\sum_i E_i - \\sum_j E'_j\\right|,$$\n", "$$\\sum_{j} f_{ij} \\le E_i,\\,\\,\\, \\sum_i f_{ij} \\le E'_j,\\,\\,\\,\\sum_{ij}f_{ij}= \\min\\Big(\\sum_iE_i,\\,\\sum_jE'_j\\Big).$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Imports" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "\n", "from energyflow.emd import emd, emds\n", "from energyflow.datasets import qg_jets" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plot Style" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "plt.rcParams['figure.figsize'] = (4,4)\n", "plt.rcParams['figure.dpi'] = 120\n", "plt.rcParams['font.family'] = 'serif'" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Load EnergyFlow Quark/Gluon Jet Samples" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# load quark and gluon jets\n", "X, y = qg_jets.load(2000, pad=False)\n", "num = 750\n", "\n", "# the jet radius for these jets\n", "R = 0.4\n", "\n", "# process jets\n", "Gs, Qs = [], []\n", "for arr,events in [(Gs, X[y==0]), (Qs, X[y==1])]:\n", " for i,x in enumerate(events):\n", " if i >= num:\n", " break\n", "\n", " # ignore padded particles and removed particle id information\n", " x = x[x[:,0] > 0,:3]\n", "\n", " # center jet according to pt-centroid\n", " yphi_avg = np.average(x[:,1:3], weights=x[:,0], axis=0)\n", " x[:,1:3] -= yphi_avg\n", "\n", " # mask out any particles farther than R=0.4 away from center (rare)\n", " x = x[np.linalg.norm(x[:,1:3], axis=1) <= R]\n", "\n", " # add to list\n", " arr.append(x)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Event Display with EMD Flow" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 466, "width": 475 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# choose interesting events\n", "ev0, ev1 = Gs[0], Gs[15]\n", "\n", "# calculate the EMD and the optimal transport flow\n", "R = 0.4\n", "emdval, G = emd(ev0, ev1, R=R, return_flow=True)\n", "\n", "# plot the two events\n", "colors = ['red', 'blue']\n", "labels = ['Gluon Jet 1', 'Gluon Jet 2']\n", "for i,ev in enumerate([ev0, ev1]):\n", " pts, ys, phis = ev[:,0], ev[:,1], ev[:,2]\n", " plt.scatter(ys, phis, marker='o', s=2*pts, color=colors[i], lw=0, zorder=10, label=labels[i])\n", " \n", "# plot the flow\n", "mx = G.max()\n", "xs, xt = ev0[:,1:3], ev1[:,1:3]\n", "for i in range(xs.shape[0]):\n", " for j in range(xt.shape[0]):\n", " if G[i, j] > 0:\n", " plt.plot([xs[i, 0], xt[j, 0]], [xs[i, 1], xt[j, 1]],\n", " alpha=G[i, j]/mx, lw=1.25, color='black')\n", "\n", "# plot settings\n", "plt.xlim(-R, R); plt.ylim(-R, R)\n", "plt.xlabel('Rapidity'); plt.ylabel('Azimuthal Angle')\n", "plt.xticks(np.linspace(-R, R, 5)); plt.yticks(np.linspace(-R, R, 5))\n", "\n", "plt.text(0.6, 0.03, 'EMD: {:.1f} GeV'.format(emdval), fontsize=10, transform=plt.gca().transAxes)\n", "plt.legend(loc=(0.1, 1.0), frameon=False, ncol=2, handletextpad=0)\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Intrinsic Dimension of Quark and Gluon Jets" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The correlation dimension of a dataset is a type of fractal dimension which quantifies the dimensionality of the space of events at different energy scales $Q$.\n", "\n", "It is motivated by the fact that the number of neighbors a point has in a ball of radius $Q$ grows as $Q^\\mathrm{dim}$, giving rise to the definition:\n", "\n", "$$ \\dim (Q) = Q\\frac{\\partial}{\\partial Q} \\ln \\sum_{i 0], bins=bins)[0])\n", " dims.append((np.log(counts[1:] + reg) - np.log(counts[:-1] + reg))/dmidbins)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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mXFAofOQR6eWXo+8FAAAgoQiFi2RmY2ZWiLsPLEyjWYWnTkXeCsKwbp20fn19bWJC+tWv4ukHAAAggQiFi2Bmg5Lyktrj7gULs3KllxtqnTkjPf10PP0gBFw2AwAAMCNC4QKZWVFSb9x9YPHYQppynCsEAACYEaFw4QbjbgDNwViKlCMUAgAAzIhQuABm1i+pP+4+0ByMpUi5oFD40EPS6dPR9wIAAJBAhMJ5ql4qU3DO7Yq7FzQH20dT7uKLpfZpx35feUX69a/j6QcAACBhCIXzt1tST9xNoHnYPppyZlw2AwAAMANC4TxUt40OOucqcfeC5mH7aAZwrhAAAKAhQuEcmVlebBtNpUsu8dd++1vp5Mnoe0FICIUAAAANEQrnbkhSX9xNoPlWrJAuuKC+5pw3xB4pUSj4aw884P1BAwAAZNzSuBtoBWa2XdIdzrlySJ9/i6RPzPHlnWH0kHUbNki/+1197eBBqZPf7XS47DLpnHOkl156rVapeIdHgw6VAgAAZAihcBbVbaPbnHNdIX6bdZI2hvj5mMWGDdLPflZf47KZFFmyRLrySumnP62vj44SCgEAQOYRCmc3KOnjIX+Pw5IenuNrOyUtD7GXTOIG0gzYtMkfCvfvl268MZ5+AAAAEoJQOAMz65U06pwL9e5659xtkm6bY08HxKpi03EDaQZw2QwAAEAgQmEDZpaT1BfytlEkBAPsMyDoshlCIQAAALePzmBI4W8bRUIQCjPgiiukpdP+HezZZ/03DAEAAGQMoTBAdZWwKGmPmY03emreMlJTH4ypbSxC0KzCZ56RXnkl+l4QkuXLvWA4HauFAAAg4wiFAZxzFUlrJHXM8NSuIvbV1HdE2iyaYvly6Q1v8NeffDL6XhAizhUCAAD4EAobcM5VZnok1c4sLE/7GloQW0gzgFAIAADgQygEqhhLkQFXXeWvPTzXaTAAAADpRChcuPaan+di6wJNw1iKDNgYMM3lscek06ej7wUAACAhCIUL193g52hRbB/NgNe9zntqnToljY3F0w8AAEACEArnwcy2m5kzMydpe82XeifrZra90fuRbGwfzYi3vMVfe+SR6PsAAABICELhPDjnBiStcc5Z0FP92kDcfWJh2D6aEYRCAACAOoTCeZrpdlFuHm1tF10kmdXXnntOevnlePpBSAiFAAAAdQiFQNVZZ0nr1/vrhw5F3wtCRCgEAACoQygEarCFNAOCQuGjj0rORd8LAABAAhAKgRrcQJoBF10krVxZXzt+XHr66Xj6AQAAiBmhEKjBDaQZYCa9+c3+OltIAQBARhEKgRpsH80IzhUCAABMIRQCNdg+mhGEQgAAgCmEQqAG20czglAIAAAwhVAI1Fi/XlqypL52+LB04kQ8/SAkhEIAAIAphEKgxtKlwbMKWS1Mmc5O7w+71uHD0pEj8fQDAAAQI0IhMA3nCjNg2TLpssv8dVYLAQBABhEKgWk4V5gRbCEFAACQRCgEfBhLkRGEQgAAAEmEQsCH7aMZQSgEAACQRCgEfNg+mhGEQgAAAEmEQsAnaKWwXJaci7wVhOlNb/LXDh1i/ggAAMgcQiEwzRvfKC1fXl8bH5d++9t4+kFIVq6ULrnEX//1r6PvBQAAIEaEQmCaJUukf/Ev/PX9+6PvBSFjCykAAAChEAiyaZO/9sAD0feBkBEKAQAACIVAkKuu8tdYKUwhQiEAAAChEAgStFJIKEwhQiEAAAChEAjyB38gmdXXnnhCqlRiaQdhCQqFjz0mnToVfS8AAAAxIRQCAVaulC6/3F/nXGHKrF0rrVtXXzt9Whobi6cfAACAGBAKgQbYQpoRbCEFAAAZRygEGuAG0owgFAIAgIwjFAINcANpRhAKAQBAxhEKgQaCVgofflh65ZXoe0GICIUAACDjCIVAA+vWSW98Y31tYkI6cCCefhCSoFD46KPSmTPR9wIAABADQiEwA7aQZsD69dK559bXTpyQnn46nn4AAAAiRigEZsANpBlgJr35zf46W0gBAEBGEAqBGXADaUZwrhAAAGQYoRCYQVAofPBB72whUoRQCAAAMoxQCMxgwwbpvPPqaydOSI8/Hks7CMvGjf4aoRAAAGQEoRCYgVnwZTNsIU0ZVgoBAECGEQqBWXDZTAbk89JZZ9XXfv977wEAAEg5QiEwC8ZSZMDSpdJll/nrrBYCAIAMIBQCs2i0Uuhc9L0gRGwhBQAAGUUoBGbxlrf4dxYePiw9+2w8/SAkhEIAAJBRhEJgFsuWSW99q7/OFtKUIRQCAICMIhQCc8BlMxlAKAQAABlFKATmICgUMpYiZd70Jm8GSa0nn5SOH4+nHwAAgIgQCoE54AbSDFixQtqwwV//9a8jbwUAACBKhEJgDq680r+IVC5Lx47F0w9CwhZSAACQQS0dCs3s3rh7QDace27wGLsHH4y+F4SIUAgAADKoZUOhmZ0nqRh3H8gOtpBmAKEQAABk0NK4G2jEzFZLap/hJd1R9QJI3mUzd95ZXyMUpgyhEAAAZFBiQmE1BPZL6o27FyAIN5BmQFAofPxx6dQpb2AlAABACiVp++iQpD5JNo8HiEzQ9tEDB6RXX42+F4RkzRrp/PPra6dPe8EQAAAgpRIRCs2sQ9520F3VHzslrZnh6ZR0cyzNIrPOP1+68ML62unTXjBEirCFFAAAZEwiQqGkgqQB59zNzrk9zrmDzrljMzwHJd0Rd9PIHraQZgChEAAAZExSQmFe0vfm8wbn3DFJe8JpBwgWFAq5bCZlCIUAACBjkhIKy/KC4bw4564LoRegIcZSZAChEAAAZEwiQqFz7i5JPfN9n5ntDKEdoKGglcIHH5TOnIm+F4QkKBQ++ih/yAAAILUSEQqrds8n5FWH128PsR/Ap6NDWr26vnb8uDQ2Fk8/CMEb3iCtWlVfe+kl6amn4ukHAAAgZIkJhc65YUl7zexeM3tPdW7hTDZH0RdQq61NuvJKf50tpClixhZSAACQKYkIhWZ2o5ndK29w/VpJJUnjZjZhZkcCngnN82IaoFm4gTQDCIUAACBDlsbdQFW7vPmETv6h9GtmeJ8LrSOgAW4gzQBCIQAAyJCkhMKj1R/v0tznD14n6aZw2gEa4wbSDCAUAgCADElKKCxLcs65rXN9g5ntEaEQMdi4UVq2TDp16rXac89Jv/uddMEF8fWFJiIUAgCADEnEmUJJFUkH5/MG51xF0rFw2gEaO+ss6a1v9ddZLUyRjg7vD7rWkSPS4cPx9AMAABCiRIRC59xB59ylC3hfexj9ALNhC2nKLV0qXX65v85qIQAASKFEhEKg1XADaQawhRQAAGREUs4U+pjZVZKKkjrlbS8dk3Snc+6FWBsDxA2kmUAoBAAAGZG4UGhmGyQNSSoEfHnQzAadc5+ItClgmqAB9o8/Lr3wgrR6dfT9IASEQgAAkBGJ2j5qZtfIWxHskjevMOjpM7NfxNYkIGnVKunSgFOwDz0UfS8ICaEQAABkRGJCoZl1SCrJu4V0h7xh9p01T1e1vl/SZjP7ekytApLYQpp6l18umdXXnnpKOn48nn4AAABCkphQKGlQ0rBz7lLn3Gedc3uqt5JOPvur9c2StkraambviblnZBihMOVWrPBGU0z36KPR9wIAABCiRIRCMztPUn6uw+udc8OSPiXp5lAbA2YQNJaCG0hThi2kAAAgAxIRCuXdMjo4nzc45wYUfBkNEImglcJf/Uo6eTL6XhASQiEAAMiApITCvKR9cTcBzMcFF3hPrVOnpIcfjqcfhIBQCAAAMiApobAiKRd3E8B8BW0h5VxhihAKAQBABiQlFO6VtG0+bzCzTZKOhdMOMDdBW0g5V5giQaHw8cfZIwwAAFIlEaHQObdfUvc8bxO9UxJjKRArbiBNuVzOv0d4YsILhgAAACmRiFBY9SlJJTP7pJmtbvQiM7vGzB6T1O6c+x/RtQf4NbqB9MyZ6HtBSNhCCgAAUi4xodA5t0vSNyR9VtK4mT1mZvfWPPeb2YSkEXnD7Hvi7BeQpM5OadWq+tqLL0oHD8bTD0JAKAQAACmXmFAoSc65Hkm7JZm84FeseQrVuknqds7dF1efwKS2NunKK/11tpCmCKEQAACkXKJCoSQ55/okdUm6S95FMpNB8KCkAUlrnHN74usQqMcNpClHKAQAACm3NO4GglQvnmF7KFoCN5CmXFAofPRR7+BoW+L+XQ0AAGDeWvpvNGa2Ie4eAG4gTbkLL5RWT7v76uWXpSefjKcfAACAJmvZUGhm50kai7sPYONGaem0Nfdnn5Weey6eftBkZmwhBQAAqdayoVBSPu4GAElavly64gp/nS2kKUIoBAAAKRbJmUIz+5C8W0XHJBWdcy/UfK1D0vfm+ZHtknLN6xBYnE2bpAcfrK/t3y+9973x9IMmIxQCAIAUi+qimS/IC3FdkrZW/7tW5wI/1y2mKaBZNm2SvvSl+hrnClOEUAgAAFIsqlB4UNImeaMljtZ+wTl30MwkaZ+kz1TLlVk+LyfpOkk3NbdNYGGCxlKwfTRFGoVC57wzhwAAAC0sklDonOsys49L2lsdNxFkx3wG0pvZfhEKkRBBofCxx6Tjx6Vzz42+HzRZR4d3ePTVV1+rHT0qHT4svf718fUFAADQBJFdNOOc2z1DICxJKs/z88ryhtsDsVu9WuqctgnaOf85Q7SoJUukyy/319lCCgAAUiARt486565zzj2xgPe1h9AOsCBsIU05zhUCAICUSkQoBNKAIfYpFxQKf/7z6PsAAABossSEQjNbXftM+9o1ZnavmR0xs/vN7JNx9Qk0QihMuc2b/bV77pHOnIm+FwAAgCZKRCg0s2sljVefiqQ9k8HQzG6UNCKpKO/20nFJ/5+ZfTemdoFAQdtHf/Ur6dSp6HtBCK65Rjr77Pra4cPSL34RTz8AAABNkohQ6JzbI2mPpM8659qcc29zzr1gZufJG3ovSXc559qr5w/bJbWZ2Z/F1jQwzYUX+i+iPHmSY2epcc450rXX+uvf+lb0vQAAADRRIkJhNfyVnXOfmvalXnkzCeWc2zrta1sl3RxBe8CcmLGFNPVuuMFfIxQCAIAWl4hQKKlH0p0B9W5JTtLw9C845yrytpMCicENpCl3/fX+2i9/KR06FH0vAAAATZKUULhGwXMKi9UfR2Z4H5AYQSuFHDlLkTe+MfgP+dvfjr4XAACAJklKKCxLytcWzKz2b16lBu8jFCJRurr8tZ/9zLuPBCnBFlIAAJAySQqFhWm1yVVCBQ22N7Nr1DgsArHo7JQuvbS+duYMC0mpEhQKv/996cUXo+8FAACgCRIRCp1z+yV92MxWSd7MQkm3yjtPODD99WbWIalf0vYo+wRmYyZ98IP++je/GX0vCEmh4F01W+vkSWmk0S53AACAZEtEKKz6jKRDZna/vFmEOXkriDsnX2BmV5nZTkmPy9tuyvZRJM6f/qm/9r3vSSdORN8LQtDWFnzhDFtIAQBAi0pMKHTODcsbMzEu6aCkXZI2O+dekCQz+4yk+yT1STom7+bRXfF0CzT2jndI69bV1155hYWkVAkKhffc4+0VBgAAaDGJCYWS5JwrVYfTX+qcu9k5d6zma5+qDq+vfd4bZ79AkCVLgo+dsYU0RYpF6eyz62uHD3PVLAAAaEmJCoXzZWb3xt0DECRoC+m3vy2dPh19LwjBOedI117rr7OFFAAAtKCWDYVmdp5qbigFkqRY9HJDrSNHpJ/8JJ5+EAJGUwAAgJRIbCg0s9VmtqHRI+/8IZBIK1ZI7w3Y3MwW0hR5//v9tV/+Ujp0KPpeAAAAFiExobAaAj9vZhNmNiHvwpmxGZ7bY2sWmIOgLaR33y05F30vCMH69dKmTf46QykBAECLSUwolDQk72ZRm8cDJNb73+9dOlPr4EFvMQkpwRZSAACQAokIhdVh9N3yRkx0S+qUN4Ow0dMp6eZYmgXmaO1a6eqr/XW2kKZIUCj8/velF1+MvhcAAIAFSkQolFSQNFAdQ7HHOXfQOXdshuegpDvibhqYzQc/6K/dfXf0fSAkhYJ04YX1tZMnGUoJAABaSlJCYV7S9+bzhuoMwz3htAM0R1AoHB2Vnnwy+l4Qgra24AtnOFcIAABaSFJCYVk2kmedAAAgAElEQVReMJwX59x1IfQCNE1Hh3Tllf46q4UpErSF9J57pDNnou8FAABgARIRCp1zd0nqme/7zGxnCO0ATcUW0pQrFqWzz66vPf+89ItfxNMPAADAPCUiFFbtnk/Iqw6v3x5iP0BTBI2m+MEPpPHxyFtBGM45R7r2Wn+dW0gBAECLSEwodM4NS9prZvea2XvMbPUsb9kcRV/AYl11lXTxxfW1iQlvhyFS4vrr/TXOFQIAgBaRiFBoZjea2b2SeiWtlVSSNF4dZH8k4JnQPC+mAeJixhbS1AsKhQ89JB06FH0vAAAA85SIUCipXd58wqK88RS1A+qD5hQyvB4tJWgL6Xe+I73ySvS9IATr10ubNvnrrBYCAIAWsDTuBqqOVn+8S3OfP3idpJvCaQdorquvlnI5qVJ5rXbihHTffdKf/El8faGJbrhB2r+/vvatb0m33BJPPwAAAHOUlFBYluScc1vn+gYz2yNCIVrEsmXeDsN//Mf6+je/SShMjeuvlz796fra978vvfiitGpVPD0BAADMQVK2j1YkHZzPG5xzFUnHwmkHaL6gLaT/9E+Ms0uNri7pggvqaydPSqVSPP0AAADMUSJCoXPuoHPu0gW8rz2MfoAwvPe90vLl9bXnnpN+/vN4+kGTtbUFXzjDaAoAAJBwiQiFQBace64353y6b34z+l4Qkhtu8NfuuYflYAAAkGiJC4VmttrM/sbM7jCzv5v2tc+Y2d/E1RuwWEFbSAmFKVIsSmefXV97/nnpF7+Ipx8AAIA5SFQorAa+cUn9knqqT62d3svsfjO7JOr+gMW64QZvbmGt3/xGevTRePpBk51zjnTNNf46oykAAECCJSYUmtlNkgbkXR5zl6Qd8i6gmeKcO+ac+6ykbZKGI+5vi5kNmdk+MxszsxEz6zezXJR9oLWdf770jnf466wWpkjQFlLOFQIAgARLTCiUtEtSv3Ou3Tm3tRr+Am8kdc6VJe02s51hN2VmOTPbJy+I7nTOdTnnOiUNSuqVNG5m28PuA+nxwQ/6a4TCFAm6bOahh6RDh6LvBQAAYA4SEQrN7FpJw865W6d9yTV6j3Nul6SAazuabo+kO5xzPc650ZrvPyxvNVOS+s2sN4JekAJB5wp//nPp2Wej7wUhWL9e2rTJX2cLKQAASKhEhEJJBUlfX8D7Qt26aWZbJOUlBQ4aqwbTSYNh9oL0uPxy6S1v8df/6Z+i7wUhYTQFAABoIUkJhdK084NzFPacwm55wXPfDCuB5cmfmFkh5H6QEkFbSO++O/o+EJKgc4Xf/750/Hj0vQAAAMwiKaGwLC+AzZmZ3aiaQBaS2tDZNYfXLyTYIoOCtpDu2SO98EL0vSAEXV3SBRfU106elEZG4ukHAABgBkkJhSVJ2wPGTFjQi82sQ97FNHeE3NdOeUGvIm9MRpCp4Fi9AAeY1dveJl14YX3t5Enpu9+Npx80WVsbW0gBAEDLSEQodM4dk/QFSWUz+3e1X6p9XXWw/U5Jj1ff9z9C7mvUObem+vgCX3W76OS5xh3Tvw400tYmfeAD/jpbSFMkKBTec4905kz0vQAAAMwgEaFQkpxzfZKekLTLzCbM7H5JRTO7tzqs/jF5g+23y1tBvDa+bqdsq/5Yds4NxNoJWk7QFtJ77vFWDJECxaK0fHl97fnnpV/8Ip5+AAAAGkhMKKwqSLpPXujrkrcKV6zWO6v1Y5K6nXMPxNWk5M0vlDencFRzO28I1HnPe6RVq+prx45JP/xhPP2gyVaulK4N+LcrRlMAAICESVQodM4dc851S9oq75yh1TxlSQOSOpxze+LrUjKzvKQhSR+vDrNf1AUzZnaLmR2YyyMvHCMFli+X3vc+f50tpCkSdAsp5woBAEDCJCoUTnLODTvnrnPOtdU8lzrnPlU9fxg5MyuY2T4zG5c0Jm8Fc7eZNbqAZj7WSdo4x2d5g89ACwraQvrNb0rO+etoQUHnCh96SDp0KPpeAAAAGkhkKEyi6qUzXc65NZLWSOqTt711u5mNVVcPF+qwpIfn+Ly6iO+DhHnf+6SlS+trv/2ttG9fPP2gydavl666yl9nCykAAEiQlg6FZjYRx/d1zlWcc7v02lnCvKQF/zXeOXebc+6KuTzyVimRErmcd7ZwOraQpkjQFlJCIQAASJCWDYVmdp4azDGMinNuVN5FM5KUa9JWUmRMoy2kSImgUHjffdLx49H3AgAAEGDp7C+JlpldJW8gfG6Wl35Y0+YYxuQOebejSt5tpMwrxLx84APSLbfU1371K2lsTOrkWqHW19UlXXCB9LvfvVY7eVL67nelLVvi6wsAAKAqMaHQzDokfU/eVsxEqA6nzzvnhmd4We1Q+5yZ5RZ7GymyZf16afNmae/e+vrdd0v/6T/F0xOaqK1Nev/7pS9+sb7+la8QCgEAQCIkafvoiOpnEc72hLp11My2yDsnOGRmM53jIwBi0T74QX+NLaQpsnWrv3bPPdLRo9H3AgAAME0iQqGZbZK3QrilOn6ifbZH0uaQ2+qu+flMq5e1X6uwSoiFCDpX+JOfSIcPR98LQnDNNd4W0lqnTkl33hlPPwAAADUSEQrlBbwdzrlvzOM9Ywp3tbB2dXDXDK/rqvn5TK8DGrriCv/5wTNnmHOeGkuXSh/5iL/+j/8YfS8AAADTJCUUSvMc6VAdYh/mpS675G0N7XHO9c3wusl9YWXnHJfMYEHMgreQfvnL0feCkPzbf+uv/eQnUrnsrwMAAEQoKaGwrNdu8Jwz59xnQ+hl8rMrkq6VtNvMeoNeY2aD8m5Jrah+uykwbx/6kL/2gx9Ijz4aeSsIw1VXeUvC033lK9H3AgAAUCMRodA5t0fSdWa2aj7vM7N7Q2pJ0tQcwi5JXWY2bmaDZrbdzPqrl8/0ShqW1OGc45/7sSh/+IfSm9/srw8ORt8LQmAWvFr45S9LLgnTdQAAQFYlIhRWfUrSF8xs9VxeXB1eXwy3Jck5V65uH+2QNCRvVfCIvK2ra5xzPVwug2Ywk/oCNir/wz9IL78cfT8IwUc/6q899ph0//3R9wIAAFCVmFBYXZX7jLwREDvN7ENmtqHRI2+VLsr+Ks65knNul3NuwDk3TBhEs/3FX0hnn11fGx+Xhobi6QdNdtFF0h/9kb/O4VEAABCjxITCql5Jb5O0Xd6q3NgMz2di6hEITXu7tG2bv3777dH3gpD8+Z/7a1//ujeiAgAAIAaJCYXV84F98i5usTk+QOrcfLO/9tOfSg8+GH0vCMGNN0rLl9fXfv976d5Qj0gDAAA0lIhQWB1e3y1vDES3pE5Ja2Z4OiUF/NUZaH1vf7t05ZX+OhfOpMR550kf+IC/zsxCAAAQk0SEQnnD6wecczc75/Y45w46547N8ByUdEfcTQNhMAteLfzyl6UXX4y+H4QgaAvp3XdLL7wQfS8AACDzkhIKc5K+N583VIfX7wmnHSBeH/2odO659bXjx6WvfS2eftBk732vtHZtfe2VV6S77oqnHwAAkGlJCYVlSfn5vsk5d10IvQCxW7UqeHrB7bcz0i4VzjpL+vCH/XW2kAIAgBgkIhQ65+6S1DPf95nZzhDaARIhaGbh/v2MtEuNoEH23/++9PTT0fcCAAAyLRGhsGr3fEJedXj99hD7AWK1aZN36cx0jKdIibe/Xbr00vqac9JXvxpPPwAAILMSEwqdc8OS9prZvWb2HjNbPctbNkfRFxCnoAtnvv51b6A9WpxZ8Grhl7/MHmEAABCpRIRCM7uxOqewV9JaSSVJ42Y2YWZHAp4JzfNiGqAVbd0q5XL1tZdf9nIDUiAoFP7qV9JDD0XfCwAAyKxEhEJJ7fLmExYlFVQ/oD5oTiHD65EJ55wj/eVf+utcOJMSnZ3SO97hr5P6AQBAhJISCo9Wf5y8cGYuz+7o2wSiF3ThzCOPSD/6UfS9IARBMwu/+lVpYiL6XgAAQCYtjbuBqrIk55zbOtc3mNkeSTeF1xKQDG95i/Tud0s//GF9/fbbpXe9K56e0ERbt0r/4T9Ip069Vnv2Wem++6Tu7vj6AgAAmZGUlcKKpIPzeYNzriLpWDjtAMkSdOHM8LD0/PPR94ImW7tW+pM/8deZWQgAACKSiFDonDvonLt09lf63tceRj9A0vzZn0nr1tXXTp2SvvSlWNpBswVdOPONb0gnTkTfCwAAyJxEhMKFMrMNcfcARGH5cumv/9pfHxyUzpyJvh802fXXS+edV187fly6++54+gEAAJnSsqGwOrx+LO4+gKj09vpr5bJUKkXfC5rs7LOlnh5/nS2kAAAgAi0bCiXl424AiFI+L113nb8+OBh9LwhB0C2k3/ue9Nxz0fcCAAAyJZJQaGYfqg6d/4WZrZ72tQ4ze2yezxFJe6PoHUiSoAtn7r5beuaZ6HtBk73zndLFF9fXJiakr389nn4AAEBmRLVS+AV5Q+e7JAWNneic5zM5wB7IlOuvl97whvraxIT0xS/G0w+aqK0t+MIZBtkDAICQRTWn8KCkTfKC3NHaLzjnDpqZJO2T9JlquTLL5+UkXSfmFCJjli2TbrpJ+vSn6+u7dkm33iotTcrkUSzMRz8q/d3f1df27ZMeecQbWAkAaAnlclmjo6Mql8vK5XJqb29XsVhULpeLu7XIVCoVHT16VJVKZer3oVgsxt0WGohkpdA51yWpT1KXc+4bDV62wzl3V/XZM8tzl6T+KHoHkuamm7xFpVpPPy195zvx9IMm2rhRKhT8dS6cAYCWMDAwoM7OTnV3d+v++++fCoEjIyPq6OhQV1eXhoeHY+4yfJVKRWvWrFFnZ6e6urrU09Oj/n7+6p5kkV0045zb7Zzb3+DLJUnleX5eWQyvRwZddJG3jXS622+PvheEIOjCma98hdkjAJBgo6Oj6uzs1M6dO9Xf36+xsTH19/ert7dXvb29Ghwc1Pj4uIrFonp6etTV1aVyeV5/9W0puVxOzjmNjY2pEPSPnUicRNw+6py7zjn3xALex/B6ZFLQhTPf+Y70xBORt4Jm+/CH/UvBhw5JP/5xPP0AAGY0PDysrq4uHT16VPv27dOWLVsavra/v1+Dg4MaHR1VV1eXRkdHI+w0evl8ni2jLSIRoRDA/Fx3nbRhQ33NOWn37ljaQTNdcEHw7BG2kAJA4pRKJfVU58wODQ0pn599Ylpvb6+2b9+uSqWia6+9VpXKbFdptLa1a9fG3QLmIDGh0Myuqo6uuKn6XDN9fAUAz5IlwcPsv/hF6eTJ6PtBkwXdQnrnndIrr0TfCwAgUKVSmQqEvb2981oR6+/vVy6XmwqGQNxiDYXVEHivmU3Iu310SNJg9RmRNF6dS/jJOPsEkuiv/9p/2+hzz3lzC9Hi/vRPpZUr62vHjkn33BNPPwAAnx07dkyt8u3YsWPe77/11lsleecRd+3a1dTegPmKJRRWVwEfkxcCi/JGVUzOHZz+87ykATP7vZn9WeTNAgl1/vnShz7kr3PhTAqsXBn8h8sWUgBIhEqlMhXkCoXCnLaNTtdbs+WHmzkRt8hDoZntlLcKmFd9AFT155XqMz0ktksaNrPPRdctkGxBF87cd5/0619H3wuaLOgW0nvukY4cib4XAECd2pW9hV6kksvlpsLk5FzDWpPz/UZHR1UqlRqOspj+mrSfUUQ4Ih11XQ2E2+WFvLKkYXkBca9zLnC8hJltkreauE1SQVKfmck594lougaS64/+SLr8cuk3v6mv79ol/c//GUtLaJZrrpEuvFB69tnXaqdOSUNDwf8aAACIzMjIyNTP3/a2ty34cwqFwtRoijvuuKNufENHR0ddwMvlcr6bTbu7u1UqlepqY2NjU/MRg4yOjmrv3r2qVCoqFAravHnzjK+XvOBZLpenBtLX3io6GUjz+fyMN682w+jo6FQvuVxOW7duVS6XU6lU4pbTRYpspdDMrpW0Q14g7HXOXeqc+1R1GH3DeYPOuf3Ouc865zZL2irpBXnBkK2kyDyz4HzwpS9JL78ceTtopiVLpI98xF//8pej7wVAopjxzPREoTaIzRaoZlK77XT6SuH4+PjUbMNGRkZGND4+ru3bt8/6vUqlkvr6+rR3717l83kVCgWNjIxozZo16u7ubjg3sVKpqKurS93d3erp6VFfX99UKO7p6VGpVNKRI0fU09MzdfHOXHV2dsrMfM/0XibHfpRKpalwnM/ntWPHDnV3d6u7u5sV0kWKcvvokCQnqeCc+8JCPsA5NyypS14w5PJ9QNJf/qW0fHl97ehR6ZvfjKcfNFHQLaT//M/SY49F3wsAIFB7+8LHZteOawgKZblcbtaglcvl1NfXN+NrRkdHp1YVt27dqmKxqGKxqP7+fo2NjalUKqmrq6thD+Pj43LO1a1kTgbE7du3TwXaRltcG6ldcS0Wi1MhtzYsl0olffzjH9eePXu0fft2FYvFqZXKwcHBup6wcJGEQjO7UVJOUo9z7oHFfJZzriypR1K7mf27ZvQHtLL2dmnbNn992m4StKIrr5Te+lZ//fOfj74XAIAkNXVFqnaV8ejRo4GvmUvonO01d9xxhyQveE7fbprP56fmJs4WLmu3jLa3t0/9d19fn/L5fN3lOfMxNDSkkZERFYtF38prf3+/8vl8wxVZLulpjqhWCrdJGnHOfaMZH+acK0kqydtOCmTe1oD/S/h//y/6PtBkZtLHPuav//3fSy+9FH0/AABfOGkU5uaiNmAuZsVxNtu2bVMul1OhUAg899fd3S1JvsA43eTKZqlUqhvDsWXLFo2NjWlwcHDOPY2Ojqqnp0f79u2b8Szi5EU6M4VxVgsXL6pQWJC3fbSZdsm7wRTIvHe+03+O4vHHpWeeiacfNNFf/ZV09tn1tUpF+trXYmkHAFBvMSuHR2pulF7IWIu5KhQKGh8f1759+wK/XhtI5/Lrqb05dSGGh4entoTOFugmVyM7Ojo0MDDgO3spSXv27FnU2U5EFwrz8lb2mmmfCIWAJOm886SrrvLXWS1Mgfb24AtnbrtNci76fgDEzjmemZ4o1AaZ+++/f8GfUxtwolrtKpfLGhgYUE9Pz9QlLR//+Mfn9RmLCYST33sut55Kr20frVQq2rFjh7q6umRm6u7u1sDAgCqVCoGwCaK8aGbha+sBnHMHm/l5QKt717v8NUJhStxyi7+2f7/0s59F3wsAQNtqDvMHrVzN1d69ewM/Mwzlclnd3d3q7OzUyMiI+vr6ps7yDQ3Nb0PfQre69vT0TIXoXbt2zbpdVfJWJfft2+e7YXVyC2tHR8e8L7iBX1Sh0DnnXojoewGZRChMsUJBevvb/fXbbou+FwBA3Rm4Uqm0oC2kk3P/JG+L5GJWCmc711gqldTZ2alSqTTjpS5hKpVK6u7u1tDQ0NTlMD09PXPertrf3y/n3NTZxck/g0qlMjUaAwsX5UohgBBdfbW/duCA9PvfR98LQhC0Wjg0JD3/fPS9AEDGTR/UvmvXLt9rdu3aNTXbLyiw1N6aWXtpy0LMFKwqlcrURTK9vb2hD5hvZMuWLVO3k06OlpgMdDOZ/nszecvp0NCQnHNTvx5uIV0cQiGQEuvWSRs3+us//nH0vSAEPT3S615XXzt5UvriF+PpBwAybnqoqw1mw8PDGhkZmdqaOTIyUrfFsVKpTAXJLVu2zDigfnI1b6bg12jwvFQfWBuFz6D3DwwMNHVb5vQtp0NDQ8rlciqVShoYGGj4vl27ds24RXfyc2q34mL+ogqFZmaXNPkDO5r5eUAasIU0xc4+W7rpJn/99tuliYno+wGAjMvn83XD17u6uqaC2+DgoHbv3j31tf7+fu3cuXPqvycvdikUCrOe55vL+b3JOYRBxsbG6noOsphzkQuVy+Wmfu07duyYsYeZfn2StHnz5lBvb82CKFcKd5nZ35jZTU14/kbS7RH2DrQEQmHK9fX5Z488+aT07W/H0w8AZFyxWJyazVcul6eCYS6X853X27Ztm3bt2qW+vj4NDw8rn89rz549s36PQqEw42phuVyuC47TV/26urqmfh4UvCqVikZGRqa+x+T5xCNHjoQetIrF4tQq6UznCwcGBmZcDd27d2/oF/WknnMu9EfSGUkTTX7OSJqIov8kPZIOSHIbN250wHRPPeW/nLutzblKJe7O0DQ33OD/Q77uuri7AoBMGxkZcblczklyklw+n3cjIyO+10x+vb+/f16fPzg46CS5LVu21NX37dvnisWiGx8fn/rsXC7nent73eDg4NTrtmzZMtXX2NjYVH1sbMwVi0U3MjLitm/f7iS53t5eNzY25gqFQt33mnzt5Peo/ZxGat8z/XtPmvy+klyhUHD79u2r+3oul3O5XM4VCgXf7+n4+LgrFouuWCzO2kuYNm7cOPlrOOASkBcW8phz4Q90MbMz1d8om+218+Scc0ua/JmJZmYHJG3cuHGjDhw4EHc7SKDOTmn6P6b93/8rve998fSDJrv3XumP/9hf//Wvpcsvj74fAMCUgYEBDQ4OqlwuK5fL6dZbb1Uul6s7Uzg0NBR42cvw8PCMl8CUSiX19/dPfbbkbZvs7+9XLpeTmU0NlW9vb1d3d3fdGIdSqaTBwUGNjo4ql8upvb196lbPyRXBnp4eDQ8Pq1AoaPfu3SoUCqpUKlqzZk3DvnK5nMbHx+tqs71nbGxM+XxeO3bsaHiecDKjdHd3a3BwUO3t7dqxY4dKpdJU/5LU19cX2+U5k6644go9/PDDkvSwc+6KWJtZoChDYUnS/IagzGyrpGsIhUC9j31M+tKX6muf+pRUc5QBrezMGelNb5Ief7y+/h//o/S//lc8PQEA6oyOjqpcLk8FuMkzb11dXb6ziJO6urq0Z88eBrG3oDSEwqURfq9e59wTzfowM9sj6bFmfR6QFu96lz8Ucq4wRdrapH//76VPfrK+/vd/L/3t30orV8bTFwBgSqFQCJw7WCgUNDw87FsVHB4enlrBA+IQ2fB6STNP1ZzvBzrX+LQpkGHvfre/dv/90ksvRd8LQvKxj0krVtTXjh2Tvva1ePoBAMzJ2972NkneNs2enh4NDAxMzTKcaSwFELaoQuFB59wLYXxuCJ8JtLSODumNb6yvnTol/fzn8fSDEKxZI33kI/76bbd5V88AABJpcni75K0OTp6RkzTrEHcgTJGEQufcpa30uUArM2M0RSZ84hP+2gMPSD/9afS9AADmJJfLBV6Kks/n6wIjELUo5xQCiEhQKPzhD6PvAyEqFKR/9a/89dtui74XAMCcDQ0Nqbe3d2qW4ZYtW7Rv376420LGEQqBFAoKhT/9qXTyZPS9IES33OKvDQ1Jzz8ffS8AgDkbHBzU+Pi4xsfHNTQ0xAUziB2hEEiht7xFet3r6muvvCLt3RtPPwhJT4//D/rUKekLX4inHwAA0JIIhUAKmUlXX+2vc64wZZYvl266yV+//Xbp9Ono+wEAAC2JUAikVNBoCkJhCt18sze7sNZTT0n33BNPPwAAoOUQCoGUCjpX+OMfSxMT0feCEF1yiXT99f46F84AAIA5IhQCKfUHfyCtXl1fe/FF6cEH4+kHIQq6cGZkRPrNb6LvBQAAtBxCIZBSS5ZI73ynv85oihQqFqVLA8a2fu5z0fcCAABaDqEQSDGG2GdEW1vwMPsvfUk6cSLydgAAQGshFAIpFhQKf/Qj6cyZ6HtByP7qr6QVK+prx45JX/1qLO0AAIDW0dKh0MzujbsHIMm6uvw54cgR6ZFH4ukHIVqzRvrIR/z1226TnIu+HwAA0DJaNhSa2XmSinH3ASTZWWdJf/iH/jpbSFMq6MKZBx+U/vmfo+8FAAC0jMSGQjNbbWYbGj2StsbcItASOFeYIZs2Se94h7/OhTMAAGAGiQmF1RD4eTObMLMJSeOSxmZ4bo+tWaCFNAqF7ChMqaDVwqEh6bnnou8FAAC0hMSEQklDkvok2TweALN4+9ulZcvqa888I42NxdMPQrZli7RuXX3t1CnpC1+Ipx8AAJB4iQiFZtYhqVvSruqPnZLWzPB0Sro5lmaBFrNihfQv/6W/zhbSlFq+XLrpJn/99tul06ej7wcAACReIkKhpIKkAefczc65Pc65g865YzM8ByXdEXfTQKvgXGHG3HyzN7uw1tNPS9/+djz9AACAREtKKMxL+t583uCcOyZpTzjtAOlCKMyYiy+WbrjBX//f/zv6XgAAQOItjbuBqrK8YHjffN7knLsunHaAdPnX/9pbOKodWn/woPTUU9JFF8XXF0L0iU9Id99dX9uzR/rpT4NvKAUANE2lUtHevXtVLpdVqVSUz+dVKBSUz+d9ry2VSioW/VPWKpWKjh49Wvfjli1bomgfGZSIlULn3F2Seub7PjPbGUI7QOqsWiUVCv76j34UfS+ISLEoXXaZv/6f/zNXzwJASEqlkrq7u7VmzRr19PRoaGhIY2NjGhkZUXd3t7q6ulQqlaZePzo6qu7ublUqFd9ndXR0qLOzU11dXeru7taOHTui/KUgYxIRCqt2zyfkVYfXbw+xHyBV2EKaMW1t0q23+us/+IG3YggAaJpKpaLu7m51d3erXC5rZGRE4+PjGhkZ0eDgoAYHBzU2Nqbdu3drx44dUwGvp6fxmsj4+LjGx8dZHUQkEhMKnXPDkvaa2b1m9h4zWz3LWzZH0ReQFkGh8Ic/jL4PROjP/1x605v8dVYLAaBpRkdH1dHRoVKppN7eXo2NjQVuB5WkQqGgffv2qVwuq7OzU+VyecbPzuVy2rZtWxhtA3USEQrN7EYzu1dSr6S1kkqSxquD7I8EPBOa58U0QNa9853+2qOPSs8/H30viMjSpdJ/+2/++v33+88bAgDmrVwuq6ura+q83+Dg4JzeNzQ0pKNHj87ptblcbjEtAnOSiFAoqV3efMKivPEUtQPqg+YUMrwemKe1a6W3vtVf51xhyt14o7Rpk7/+X/6LNDERfT8AkBKTW0+DN38AACAASURBVEYlL7gNDQ3N6/3zfT0QpqSEwsl/Kpm8cGYuz+7o2wRaG+cKM6itTfrv/91fP3BA+trXou8HAFJi586dU9s/+/v75/3+YrGoQtAtcEAMkjSSwjnnts71DWa2R9JN4bUEpM+73y197nP1NUJhBvzxH3v7h3/84/r6f/2v0rZt0rJl8fQFAC2qUqloYGBg6r+3bp3zX2HrFItFjY6ONqstYMGSslJYkXRwPm9wzlUkHQunHSCdrr7aX3vwQSngJmykiZn0d3/nr5fL0v/5P9H3AwAt7s4775z6eaFQWPC5v8VeIlOpVFQulzU6OqpSqaTh4eHA101/TdAIDGRbIlYKnXMHJV26gPe1h9AOkFoXXuiNrnvssddqzkk/+Yn0/vfH1xcicPXV3orhd79bX//0p6W/+AtpxYp4+gKAFlR7HrDRTaNzMRkoFxoqOzo66gJeLpfzjbDo7u6um40oSWNjY7N+z9HRUe3du1eVSkX5fF7FYnHG95TL5amQevToUbW3t9f1Mjw8rHK5rHw+r0KhoHw+P+uvb3R0VOVyWeVyWblcTlu3blUul1OpVFrU7zv8krJSCCAijKbIsL/9W3/tmWf8e4oBADOqDVlr165d1GeNj48v6r3j4+MzBqTJmYnbt89tvPeuXbu0Zs0a7dy5U+3t7SoUClO3rE7OYQzS3d2trq4u9fT0qK+vb+om1uHhYXV3d+vo0aMqFAq6//771dnZqe7u7oYrlsPDw+rq6lKpVJoKuvl8Xjt27JiaB8lqZ5M55xL5SLpK0t9I+ryknfLOD66Ou6+4H0kHJLmNGzc6YCH+4R+c89YHX3ve/va4u0Jktmzx/w9g7Vrnjh2LuzMAczX9/4Z56p9I/gg09QwNDYX6vUZGRpwkl8/nG75mcHDQSXK5XK7ha8bGxqZ6HhsbC3zNli1bnCQ3MjKyoK/XvqZYLLqhoSG3fft232t6e3udJNfb2+v72sjIiMvlcm58fDzw87dv3+4k/f/s3Xd8leX9//HXFUAoM6CCaBUIVmsQR6DuTcCJiyVqtcpyL7ZiW20BCbgHgmjdgkBRwcF01cV0hR8tX4ZWKyIjoMjO9fvjOkCS+07IOOe+73PO+/l4nAd4XWe8xaj55BqfUufDkJ2dvevPNt9GoF6ozCNyK4XGmObGmHnAAmAErnfhAGAMrnehfqQtUgV+K4ULFsAvvwSfRUJw773uRtKi1q6FBx8MJ4+ISJIpuUIVhT6CjRrt/UTV3p7Tp08fJk2axIgRI0pdeZw4cSJZWVllrhjuOie5bt06xowZ43sza5cuXQC3KlnSiBEjyMrKKvXPtTI3vcreRaooNMacBSwD2lC8V2HRRx9jzNzQQookuWbN4OCDi4/t2AGffhpOHgnYEUe4M4Ql3X8/rFkTfB4RkSRTslhJhW2MCxcu3F2g9e7du8zn9unTB9hT2JX1ngMHDvSdK+s84a5Lccr6c1Urj/iLTFFojGkBzMLdQjoQ18y+ZZFHm9j4IqCtMWZ8SFFFkpoxrjVFSWpNkUb+8hdvG4qffwb99FVEpMJKWzFLJsOHDwcoc4Vul10F2cKFC/faTqNt27a+40VXLUsWf7tWKVu0aEFeXp7vZ8yePTsSK7SpJDJFIW576CRr7aHW2pHW2tnW2hVFHoti422BrkBXY8yZIWcWSUpqYp/mmjcHv58EP/YYfP994HFERJJN0e2Va9euLddrjDF7fZTWUiLRdl2cU54bQYs+p+StpiWVp3Bbt25dsb/etX20oKCAgQMH0qZNG4wxtG/fnry8PAoKClQQJkAkikJjTAMgy5azeb21dhIwCLguocFEUpRfUfjpp7B1a/BZJCR33eVtQ7Fli/8NpSISLeFf5RLtRwCKbp3cW2G0S9FLPWbOnFlsbsyYMaxfv97TTiIold0Cu2zZslLnKlu4ZWZmsmDBAs9tqbNmzWLgwIG0aNEitOI5lUWiKARycSuF5WatzQO0oVikEg47DBo3Lj62dSvM1Wnd9NG0Kdxyi3d83DjX1F5ERErVteuedYy9nX/zk5ubW2zFbVf/vUQquSIXD4nKnJmZyYgRI7DWsmzZMsaMGbO7YC4oKKBLly7lLsalfKJSFGbhbhsVkQAYoy2kAgwYAPXrFx/bsQP++tdQ4oiIJIvMzMxiK1l+t2hGTVmF664CtTyFY9H3admyZdWDlVDycpqsrCx69+7NxIkTsdbuLg51C2l8RaUoLAC0OVgkQCoKhUaNoH9/7/iLL0J+fvB5RESSyODBg3cXUwMHDgz1FtJdK3ZlZSjrQpxdhdbeLo6B4ttli66YxsvYsWPLzDFx4kQyMzOZP39+3D87nUWlKJwPdKvIC4wxxwIbEhNHJPX5FYUffeQWiiSN3Hor7L9/8TFr4e67w8kjIpIkMjMzi50NbNeuXYVeH89bS8vTp3DChAmlzg0ePHj37/e2LXPX+/Tu3Tth20fLygruVtPyXIoj5ReJotBauwhoX8HbRF8F1JZCpJJat4aS/y3ftAkWLQonj4SkXj24807v+JQpMG9e8HlERJJIVlYWCxYsIDMzk4ULF9KmTZtyrRhWZLvprvcra2tnTk5OmauFy5cvL1Y4lixIixa4u/oQ+pk0aRILFy4kJyeHMWPKvg6krD+HvW1TzcvLK7Nonj9/Pt26VWg9SfYiEkVhzCBgljGmrzGmfmlPMsacZYxZCjSy1o4KLp5IasnIgFNP9Y5rC2kauu46+O1vveN33RV8FhGRJJOTk8OCBQvIzc1l4cKFNGzYcHfrBD95eXkMHDiQBQsW7LUJe0FBwe5iraCgoMxLbXadsevVq1ex8YULF9KnT59iZ/C6dOlCnz59ihWnubm5zJw5k3Xr1tGyZUvPFs68vDy6dOlC586dWbDA/yqQonnBrTqWzFtQUFBsNdLvOZmZmb6XyRQUFNC+fXvatm3ruZ1Uqqjo9bhhP4CJQCGwE1gKTC/ymBcb3xl7zllh5w3pzygfsNnZ2VakqkaO9N7lfeGFYaeSUDz1lP/l7nPmhJ1MRCRpzJw50+bm5lrAAjYzM9Pm5uba3Nxcm5OTYwGbm5trly1bZq21dv369TYnJ8euX7/e816ZmZm736fkY8SIEWV+flZWls3JybE5OTm2d+/eu99/V6acnBybm5tb6vuMGDHC5uTk2KysrN2Pzp0725kzZ5b6915W3gEDBlhrbbE/m5KP3Nzc3c9ZtmyZXb9+ve3du/fuv5ddf44TJ04s/z+QgGRnZ+/6+8i3EagXKvMw1gbTz6W8jDFjgF0/4igZzsR+bW+tnR1cqugwxuQD2dnZ2eTrIgiporlz4fjji481bAhr1riVREkj27dDq1awdGnx8RNPdIdNjfF/nYiIeBQUFDB//nyWL1++u9l6o0aNyM3NVeP1FNSqVSsWL14MsNha2yrsPJURuaIQdl8icyfQjj23ki4HJgHDrbVpe8GMikKJp+3bXRG4aVPx8c8/h6OPDieThGj8eOje3Ts+dSpccEHweURERJJAKhSFkVwLsNYustZ2sdY2stZmxB6HWmsHpXNBKBJvNWrASSd5x6dPDz6LREDXrnDUUd7xu+6CwsLg84iIiEggIlkUlpcxpnnYGUSSXW6ud2zq1OBzSARkZMDQod7xL7+EvVwPLiIiIskraYtCY0wDYFnYOUSSXceO3rGPP4a1a4PPIhFw/vnuHGFJt90G338ffB4RERFJuKQtCgF1rBSJg9//Hlq2LD5WWAhvvRVOHgmZMTBsmHd89Wro1s0dRBUREZGUEkhRaIy51Biz1hgzt2QPQmNMC2PM0go+1gLzg8gukuqM8V8t1BbSNHbGGXDeed7xjz6CQYMCjyMiIiKJFdRK4TigIdAG6Ooz37KCj4bsaU8hIlXkVxS+8w5s2xZ8FomIp5+Gpk294w88AJMnB59HREREEqZ6QJ+zAjgWV8itKzphrV1hXP+rBcB9seGCvbxfJtAB6BnfmCLp6dRToUED2FDkbt+ff4b334f27cPLJSE64ADXouKss2DnzuJz11zjbin93e/CySYiIiJxFUhRaK1tY4zpBcy31i4q5WkDrbVzyvuexphFqCgUiYsaNeCcc7wXTE6dqqIwrZ12GgwfDgMGFB//+Wfo1Ak+/RRq1w4nm4iIiMRNYBfNWGufKqMgnIVrTl+R91sOqGehSJyUdq7Q2uCzSIT06wcXX+wd/+oruOEGfYGIiIikgEjcPmqt7WCtXVmJ1zVKQByRtHTuuVCtWvGxlSshPz+UOBIVxsA//uG9ohbguedg3LjgM4mIiEhcRaIoFJHwNWoEJ5/sHdctpEJmprtcplYt79zNN8PChcFnEhERkbhRUSgiu6k1hZTq6KPhiSe841u3uvOF69cHn0lERETiIjJFoTGmXxlzDYwx84v0KZxujDkryHwi6cCvKPz0U9e3XIRrroEePbzjK1fCVVdBYWHgkURERKTqIlMUAiNKm7DWbrDWtrXW/s5a+zvgemCQMeaS4OKJpL7DD/d2GbAW3nornDwSQY8+Cscc4x2fNg3y8oLPIyIiIlUWpaKw3M3orbXLrbUdgDsTmEckLWkLqZTpN7+BSZNcY8uS7roL3n03+EwiIiJSJVEqCitzr3lW3FOIpDm/onDGDHd0TARwN5E+95x3vLAQLrsM/ve/4DOJiIhIpUWpKKwQY8yTwLqwc4ikmpNPdpdNFvXLL/Dee6HEkai66CJvU3twB1C7dYPt24PPJCIiIpVSPcgPM8bMoIwVQWPM9HK8TRZ7VggHxiOXiOxRo4brWfjKK8XHp06Fs88OJ5NE1NCh8Nln8P77xcf/9S8YPBhGjQonl4iIiFSIsbYyuzYr+WHGtAAycUVdN6BzbMpSgTOFMbNi5wrTijEmH8jOzs4mX13FJUFeeQUuv7z42CGHuEsmTUX/TZXUtmoVHHus+7WkyZPh0kuDzyQiIhKgVq1asXjxYoDF1tpWYeepjEBXCq21K2K/XQRMBjDGjAF64QrDp4CCvbzNWlxBuChROUXS3TnnQLVqsHPnnrFvv4WvvoKjjgovl0TQAQfA+PHQrl3xLxhwLSxat/ZeaSsiIiKREmhR6Mda28e4pYee1trrws4jItCwIZx6qvcc4dSpKgrFx+mnw7BhMLDEjv6NG6FzZ/jkE6hdO5xsIiIisldRuWhmBBXfPioiCaTWFFIh/fu7y2dK+vJLuOWW4POIiIhIuUWiKLTWLge6hJ1DRPbwKwrnzoUffww+iyQBY+DZZ127ipKefhomTAg8koiIiJRPJIpCAGvt5L09xxhzaexxTBCZRNLZ734Hhx9efMxaePPNcPJIEsjMdI3ta9XyzvXuDcuXB59JRERE9ioyRWE5tYw9LjPGzFNxKJJY2kIqFXbMMfDww97xjRuhe3fYti34TCIiIlKmpCoKrbUjY49BQFfcbaUikiB+ReGMGbBlS/BZJIn06gVdfE4EzJ0LQ4YEn0dERETKFNmi0BhTv4xHc2AAkBNuSpHUdtJJ7ibSon79Fd59N5w8kiSMgbFjoXlz79zIkfDOO4FHEhERkdJFqig0xjQ3xkw3xuwE1pfxWAb0JtbrUEQSo3p1OO8877i2kMpeZWbCK6+4hpclXXUV/PBD8JlERETEV2SKQmNMC2AB0B7XnqKsxwYgz1rbNZy0IunDbwvptGnu0hmRMp1wAgwd6h3/6Sf44x+hsDD4TCIiIuIRmaIQGAM0BPJwhWFbYCF7LpdpGRsfCMwHZgYZzhgzwBizwBizPvbrRGPMgCAziIThnHPcimFR//0vfPFFOHkkyfTvD+3be8dnz4YRI4LPIyIiIh6RKAqNMQ2AXCDLWjvIWjvbWrsQWGutXVHkMdtaOxLX03BQ7GxhorPlGGMWAPsCvYA2wHAgExgRKxI7JzqHSFgaNIDTTvOOawuplEtGBrzwAjRp4p27+274+OPgM4mIiEgxkSgKcauCedbalSXGjTGmfsknW2s3ANcBCf0xszEmC5gIdLHWDrTWLrTWLrfWTrLWtsetamYCWjWUlKbWFFIlTZq4wrCknTvh8sth/frgM4mIiMhuUSkKc4AZPuMFuILRw1q7HFeQJdIYoE/ss/wyDAR2zY2IFZEiKcevKJw3T3eFSAW0bw8DB3rHv/nGtbDQIVUREZHQRKUoLChlfB7uDGFpGiUgCwDGmEzcltaZxpiyViTHFPl9n0TlEQlTy5ZwxBHe8TffDD6LJLG//Q2OP947PnkyjBnjHRcREZFARKUonA9kxXoQXlpkfBLQ3hhzSckXxG4rTeRKYdEVyrK2hi4s8vvcBGURCZ22kEqV1ajh2lQ0aOCdu/12+Oqr4DOJiIhINIpCa+0iXBG2AHc+b25sfAUwG5hkjHli18UyxphjcNtNF/q+YXwU3TJa2kpmyeclejurSGj8isKZM2Hz5uCzSBJr0QKeeso7vmULdOsGmzYFn0lERCTNRaIojJmEazthYr/u0ic21gdYFmtsvwDIovjWzbiKnSNsE/vcFmU8teg5Qt+zhyKp4MQTYd99i49t3gxz5oSTR5JYly7Qu7d3/P/9P7jttuDziIiIpLnIFIXW2lnEbiGlyDbMWHHWAW8D+0nW2oR+Oxq7bXSstbaslcKcIr+v1MqlMeZGY0x+eR4UL5hFAlOtGpx3nndcW0ilUh58EFq18o6PGwcTJgSfR0REJI1V3/tTghPrTegprKy1s4wxDYHeuKJogbXWZ/9RKHZdLlOA619YGfsD2fGJI5I4HTt6OwtMm+YujjQmnEySpGrXdsXfH/7g3YPcu7cbz9KFziIiIkGIVFFYllhvwpFh5yjKGJPLnu2jA/eyoliWn4DF5XxuS6BmJT9HpErOPtvdFbJ9+56x77+HRYsgJ6f014n4atUKHn7Yu5V040bo3h0+/BD22SecbCIiImkkMttHK8MY0y/kCLvONOZZa8dW9k2stY9ba1uV5wEsi090kYqrXx9OP907/sYbwWeRFNGzJ3Tt6h2fOxeGDAk+j4iISBpK2qLQGNMAKKt/YKI/fwxulXBsrIm9SFpQawqJK2Ng7Fho3tw7N3IkjB4deCQREZF0k7RFIcVv/QyUMaY37nzjWGutGtZLWvErChcudNtIRSqlQQPXv7C6z4mGG25wTe+tDT6XiIhImkj4mUJjTCfgvji/bSNC6glojOmM2zY60FqbF0YGkTC1aAFHHglff118fNo06KMfkUhlnXACDB0KA302Xvz5z7BmjbuxNCOZf5YpIiISTUFcNFNA4tooBPqjY2NMDjAR6GKtnRTkZ4tESceO3qJw6lQVhVJF/frBvHkwyec/r488AuvWwTPPuNuOREREJG6CKArXxX6dBEzAFYlVlYnrXdgzDu9VLsaYLGA20D7WU9HvOTOtte2DyiQSlo4dYXiJBiyzZ8Ovv7pOAyKVkpHhtpHWqQPPPeedf/FFWL8eXn1VX2giIiJxFNRKoQV6Wms3xutNjTGzCagoNMZkAjNxK4SlFYRZxKfgFYm8446D/feHn37aM7ZlC8yaBRdeGF4uSQHVq7vVwH33hQce8M6/+abrjTJ1KmSGcopAREQk5QRxOGMdsCGeBSFArCfghni+p59YQTibMgrCmM7A8kTnEYmCatXg/PO947qFVOIiIwNGjfIuR+/yr3+53iirVgWbS0REJEUlfKUw1nS+UYLeOyHvW8Ls2K99jDGlPScLaAv0CiCPSCR07AjPPlt8bNo0KCzUXSASB8bAoEHQqBFcd5339tEvv4RTToEZMyArtMuoRUREUkIQ20eTljFmJpAT+8ucsp4bo5VCSRsdOsA++8C2bXvGVq1y94Qcf3x4uSTF9O7tCsMrrij+xQawbBmcfLIrDFu3DiefiIhICojcz/ONMfWNMf2MMROMMcNKzN1njOkXUI5cILcir7HWLkxQHJHIqVsXzjzTO/7668FnkRTXubM7S1injndu1So47TT4+OPgc4mIiKSISBWFsYJvPTAC6BJ7FDXcPc3MM8Y0S2QWa+0sa62pyCOReUSi6OKLvWNTpgSfQ9JAbi7MmeNWDUsqKHDzb78dfC4REZEUEJmi0BjTE8jDXR4zGRhIids8rbUbrLUjgW64FhciEqKLLvKOLVniHiJxd9xx7pKZgw7yzm3e7K6+feWV4HOJiIgkucgUhcBYYIS1tpG1tmus+Fvh90Rr7XLgKWNMKVfTiUgQmjaFE07wjr/2WvBZJE0ccQR89BEcdph3bscOd/bw8ceDzyUiIpLEIlEUGmPaAZOstYNLTFm/5wNYa8dSwTN/IhJ/l1ziHVNRKAnVrJlbMczxuf/LWrjpJhg6NPhcIiIiSSoSRSHuZs/xlXidOheLhMzvXOFnn8H//hd8Fkkj++8P774LZ5zhPz9kCEyfHmgkERGRZBWVohBKnB8spyD6FIpIGQ47zO3oK0m3kErC1a/vLpfx+8kEQN++bkupiIiIlCkqReFyoH1FXmCM6YT6AopEgraQSmhq1YKJE+Gaa7xz+fnw9NPBZxIREUkyUSkKZwEDfNpM+LZ5MMa0wF1MMyHRwURk7/wWaubMcZ0CRBKuenVX/J18snfu7rth48bgM4mIiCSRSBSF1toNwDhguTGmR9Gpos+LNbYfDvxf7HWjgkspIqVp29bbJWDHDnjrrXDySBoyBu6/3zv+009w333B5xEREUkikSgKAay1fYCVwFhjzE5jzDwg1xgzPdasfimusf0A3Apiu/DSikhRxqiRvUTA8cdD9+7e8QcegG++CT6PiIhIkohMURiTA8zBFX1tcLeL5sbGW8bGNwDtrbWfhxVSRLz8zhW+/TZs2RJ8Fkljw4dDzZrFx7ZuhTvvDCePiIhIEohUUWit3WCtbQ90xZ0zNEUey4E8oIW1dnZ4KUXEz2mnQWaJJjGbNsFs/dsqQWrWDG6/3Tv+8suuV4qIiIh4RKoo3MVaO8la28Fam1Hkcai1dlDs/KGIREyNGnDBBd5xbSGVwA0e7PoYlnTHHa65vYiIiBQTyaJQRJKT3xbSN96AnTuDzyJprH59+NvfvOMffwyTJwefR0REJOIiUxQaYybELph5IuwsIlI5Z5/t2sYV9dNP7ntxkUD16AHZ2d7xAQPcGUMRERHZLRJFYawRfRfc2cEKNbEXkeioUwc6dPCOq5G9BK56df8WFStWwGOPBZ9HREQkwiJRFAJZuEtkZgGDQs4iIlXg15ritdd0lEtCcM45/j+l+NvfYM2a4POIiIhEVFSKwlnAmtjlMuU+8GGMWZvATCJSCR07QkaJ/7IsXw5ffRVOHklzo0Z5vyA3bIB77gknj4iISARFoii01i4CjjPGnFnBlzZMRB4Rqbz99oNTT/WOawuphKJ1a+jZ0zs+ejQsWRJ8HhERkQiKRFEIYK3tClxvjBltjGm+t+cbY1oA2pAmEkF+W0jVmkJCc++9ULdu8bGdO92lMyIiIhKNotAY084YMxxYBrQElhlj1hpj5hljpvs9gPnhphaR0vgVhZ9/DitXBh5FBJo0cb0LS5o6FebMCT6PiIhIxESiKMRdNDMQGADk4m4hbQi0wd1G6vfQ1lGRiGreHI45xjv++uuBRxFxbr8dDj7YO963rxppiohI2qsedoCYdbFfF+EunSnPBTIdgLMSlkhEquSSS9zqYFFTpsCtt4aTR9Lcb34Dw4fDlVcWH//8c3j+ebjmmnByiYiIRICxEbgn3hjTDphhra1WgddkAUsr8ppUYIzJB7Kzs7PJz88PO45Iqb78Eo4+uvhYRgb8+KO7jEYkcIWFcMIJMG9e8fGmTWHpUtdoU0REpIJatWrF4sWLARZba1uFnacyorJ9dDmwoSIvsNYux20zFZEIat0asrKKjxUWumNcIqHIyIAHHvCO//ADjBwZfB4REZGIiERRaK1dAbSoxEt1rlAkoowpvZG9SGhOOQU6dfKO5+XB998Hn0dERCQCIlEUAlhrK7RSWNnXiEhwLrnEOzZjBmzaFHwWkd1GjIAaNYqPbd4MQ4aEk0dERCRkkSkKjTETjDE7jTFPhJ1FROLjxBNh//2Lj23ZAtOnh5NHBICWLeHmm73jzz0HixYFn0dERCRkkSgKjTGdgC64M4LtQ44jInFSrRpceKF3XFtIJXRDhkCjRsXHrHUtKiJwAZuIiEiQIlEU4voU5uHaUQwKOYuIxJHfFtKpU2H79uCziOzWsCH85S/e8Xff1W1IIiKSdqJSFM4C1lhrO1hrJ5f3RcaY8vQzFJEQtWsHdesWHysogA8+CCePyG7XXw+HHeYd798ftm4NPo+IiEhIIlEUWmsXAccZY86s4Et1+6hIxNWqBeee6x2fMiX4LCLF1Kjhbh0t6T//gWHDgs8jIiISkkgUhQDW2q7A9caY0caY5nt7vjGmBaCDHyJJoLTWFDq6JaG78EI44wzv+LBh8OWXgccREREJQ/WwAwAYY9oBucAyoA2wzBhTgGtqv66Ul7UNKJ6IVNH557tFmaLnCL//HhYsgLb6N1nCZAw8/DC0aQM7duwZ37EDrr0WPv0Uqkfif5UiIiIJE5WVwixgIDAAVxwa3NbQNrjbSP0e2joqkiQaNIAzfTaHawupRMJRR8EgnzvOFiyABx4IPo+IiEjAovLjz12rgYtwl86U5wKZDsBZCUskInF18cWucX1Rr70GQ4eGk0ekmCFD4J//hMWLi4//5S/ui9fvQhoREZEUEZWisACw1tpybyQzxkwGliYukojE00UXwQ03FB9bvNjd6aHvtyV0NWvC00/DSScVP+y6ZQv06AHvvw8ZUdlcIyIiEl9R+T/ccmBDRV5grV2O22YqIkngwAPh+OO942pkL5Fxwglw223e8X/9C0aPDj6PiIhIQCJRFFprVwAtKvFSnSsUSSJ+jex1rlAi5e9/h6ws7/igQfDNN8HnERERCUAkikIAa22FVgor+xoRCY9fa4pPP4Uffgg+i4iv2rVh3DjvbVFQuAAAIABJREFU+C+/QO/e6qMiIiIpKTJFYUnGmGOMMf1ifQuHG2N6GmPqh51LRCrv8MPhiCO842+8EXwWkVKdeaYrAEuaMQOeey74PCIiIgkWuaLQGNPcGDMPWACMAHrjWlWMAdYbY54IM5+IVI3faqG2kErk5OXBQQd5x2+/XUvbIiKSciJVFBpjzmJPA3tTyqOPMWZuaCFFpEr8isI5c2CDNoNLlDRoAGPGeMcLCuDGG7WNVEREUkpkikJjTAtcj8IVuEb27YGWRR5tYuOLgLbGmPEhRRWRKmjb1rsAs307vPVWOHlESnX++XDFFd7xKVNg0qTg84iIiCRIZIpC3PbQSdbaQ621I621s621K4o8FsXG2wJdga7GmDNDziwiFZSR4XoWlqTWFBJJDz0E++/vHb/pJli7Nvg8IiIiCRCJotAY0wDIstZ2Lc/zrbWTgEHAdQkNJiIJ4deaYto0WLcu+CwiZdpvP3jsMe/46tX+PQ1FRESSUCSKQiAXt1JYbtbaPCAnMXFEJJFOPx0yM4uP/forPPlkOHlEytSli/9h2Bdf1L5nERFJCVEpCrNwt42KSBqoUQOuvto7/sgjsHVr8HlEymQMPPGE9ycZAH36wMaNwWcSERGJo6gUhQWAz/9tRSRV3XYbVKtWfOzHH+Gll8LJI1Kmpk3hgQe84999BwMGBJ9HREQkjqJSFM4HulXkBcaYYwFdYi+SpJo3d7vySho1CgoLA48jsnd/+hN06OAdHzMG3nsv6DQiIiJxE4mi0Fq7CGhfwdtEXwXUlkIkifXt6x37f/8P3n47+Cwie2WMKwDr1PHO9ezpDsaKiIgkoUgUhTGDgFnGmL7GmPqlPckYc5YxZinQyFo7Krh4IhJvbdvCGWd4x0fp32yJqubN4b77vOPLlsHddwceR0REJB4iUxRaa8cC/wRGAuuNMUuNMdOLPOYZY3YCM3HN7H02nolIsunf3zv23nswf37gUUTK54Yb4JRTvOMPPQSffRZ8HhERkSqKTFEIYK3tAjwFGFzhl1vkkRMbN0B7a+2csHKKSPyccw5kZ3vHtVookZWRAePGQc2axccLC925w19+CSWWiIhIZUWqKASw1vYB2gCTcRfJ7CoEVwB5QENr7ezwEopIPGVk+J8tnDgRVq4MPI5I+Rx+ONxzj3d8yRK3kmht8JlEREQqKXJFIbiLZ6y1Xay1jay1GbHHodbaQdZa3TgqkmKuuAIOOKD4WGGh240nEll9+0KbNt7xF16Ap58OPo+IiEglRbIoFJH0UrMm3HKLd3zcOFi/Pvg8IuVSvTo8/zzUru2du/lm+OKL4DOJiIhUgopCEYmEPn28N/1v2gRPPhlOHpFyyc6G0aO941u2uEacGzcGn0lERKSCEl4UGmPaGWMKjTE7y3gsLeO1/xe7iXS0MeaYROcVkXA0agQ9enjHH3kEtm4NPo9IuV11lf8X79Kl0KuXzheKiEjkJbwojF0K0wFYyZ5LYwywCNd+oq219nelvTZ2lvB3wCQgzxgzwRhTL9G5RSR4t9/uLp4patUqePnlcPKIlNujj0Lr1t7xV1/1X0kUERGJkEC2j1prZ1lrWwIFsUd7a23b2MUxi8r5HrOttR2AicBCFYYiqad5c7fjrqRRo7TYIhH3m9+4K3Pr1vXO3X47LFgQfCYREZFyCuxMoTFmODAfaFGVlhLW2knA9YD6FIqkoH79vGOLF8PbbwefRaRCDj8cnnrKO75tm/tpR0FB8JlERETKIZCi0BjTDrc62CEeLSWstbOA2cYYn28fRSSZtW0Lp5/uHVcze0kKl10G11/vHV+xAq69VkveIiISSUGtFN4H9EzAew6O83uKSAT07+8de/dd7cCTJPHAA3Dssd7xKVPg4YeDzyMiIrIXQdw+eiyQaa39PJ7va60tANbrRlKR1HPuuXDEEd5xrRZKUqhVy50vrF/fO9e/P3z6afCZREREyhDESmEWsDBB770QaJug9xaRkGRkQN++3vGJE2HlysDjiFRcy5bwzDPe8R07oGtXWLs2+EwiIiKlCKooXJeg914HZCbovUUkRFdcAU2aFB/buVO77ySJdOoEt97qHf/vf11vw8LC4DOJiIj4CKIoLMAVhomQFXt/EUkxtWrBLbd4x596CtavDz6PSKXk5cFxx3nH33oLRo4MPo+IiIiPIIrC5SRui2fb2PuLSAq67jqoXbv42KZNMGZMOHlEKmyffWDCBGjY0Dt3113w4YfBZxIRESkhiKJwPtDQGHNmPN801uaiQez9RSQFNWoEPXp4xx95BLZuDT6PSKU0bw7PPecd37nTtbBYvTrwSCIiIkUlvCiM9SWcDcT7Z/tjgIXW2o1xfl8RiZDbb3cXzxT1ww/wyivh5BGplI4d/Xut/O9/8Mc/ugJRREQkJEH1KRwBHGqMeSIeb2aMeRJoAQyPx/uJSHS1aAGdO3vHR41SH3BJMkOHwkknecdnzIBhw4LPIyIiEhNIUWitnYVbLexjjBlflfcyxkwAeuFWCf8Zj3wiEm39+nnH8vPhnXeCzyJSaTVquPOF++7rnfvrX2HOnMAjiYiIQHArhQC9gY1AF2PMWmNMD2OMT2dfL2NMfWNMT2PMWqAz7sbRLgnMKiIR8oc/wGmnecfVzF6Szm9/Cy++6B0vLHR9WH76KfhMIiKS9gIrCq21K4B2gMH1FhwLrDfGzDPGDDfG9DPGXGqMOSv2a7/Y+DxgPe4MYcPY69tZa1cGlV1Ewud3HGvOHFi4MPgsIlVyzjnu5tGSVq2Ca67RvmgREQmcsQH/z8cYkwXMxJ0JBChPABP7tQBoEysw05IxJh/Izs7OJj8/P+w4IoEpLIRWrWDJkuLj3bvDyy+Hk0mk0nbsgPbt4b33vHMPP+zfpFNERCKpVatWLF68GGCxtbZV2HkqI8jtowBYa5dba1sCu7r2GvYUffj8ftdf5wEt0rkgFElnGRnQt693/NVX4Ztvgs8jUiXVq7ttpH7nC/v3h88/Dz6TiIikrcCLwl2stQNx20H7ALMoXgDu+v2s2HxDa+2gWHsLEUlTV14JTZoUH9u5U2cLJUkddBD84x/e8W3b3BL4pk3BZxIRkbQUWlEIroehtfYpa20Ha22GtTYDVwBmxB4dYvMqBkWEWrXg5pu94088obOFkqQ6doSbbvKOL1kCt90WfB4REUlLoRaFflQAikhZrrsO6tQpPlZYCL17u2NaIkln5Eho3do7Pm4cTJwYfB4REUk7kSsKRUTKsu++/hc3LlgAjz0WfB6RKqtVC8aPh9/8xjvXq5cOzYqISMKpKBSRpNOvHxx5pHd8yBD49tvg84hUWXY2PPSQd3zDBrj8ci2Di4hIQqkoFJGkU6MGjB0LxhQf37QJbrxRbd4kSfXqBZ06ecc//hjuvTf4PCIikjZUFIpIUjrxRLj+eu/4tGkweXLweUSqzBh46ik4+GDv3NCh8P77wWcSEZG0oKJQRJLWsGHQtKl3/JZboKAg+DwiVdawIbz0kmvMWVRhoevJsm5dOLlERCSlqSgUkaTVoAE8+qh3/IcfYPDg4POIxMWpp8Kf/+wd/+476NlT+6NFRCTuVBSKSFK79FK48ELv+JNPuqNYIknprrvglFO841OmwJgxwecREZGUpqJQRJKaMa4VRd263rnevWHbtuAziVRZ9epuG2lmpnfu9tvh66+DzyQiIilLRaGIJL2DD4a//907np/v+oKLJKVDDnEN7EvasgW6d4fNm4PPJCIiKUlFoYikhJtugrZtveN/+xssXRp8HpG46NTJLXmX9PXXrmGniIhIHKgoFJGUUK2au82/WrXi41u3wnXX6W4OSWIPPghHHOEdf+IJeO214POIiEjKUVEoIinjmGPccauS5syB558PPo9IXNSuDePHQ82a3rkePdytpCIiIlWgolBEUspf/wrNmnnH+/aFNWsCjyMSH0cdBaNGecfXrXP9C3fuDD6TiIikDBWFIpJS6tSB0aO942vXusJQJGndeCN07Ogdf/99NeYUEZEqUVEoIinn3HPhssu8488/D7NmBZ9HJC6MgWeegQMP9M6NHAkPPBB8JhERSQkqCkUkJT30kH+Lt+uu003+ksT22w9eeMEViCX17evmREREKkhFoYikpCZN/HsULlvm39NQJGmcdRbcc4//3LXXwltvBZtHRESSnopCEUlZ114Lp57qHc/Lc23eRJLWkCFu2bukHTugc2f45JPgM4mISNJSUSgiKSsjA8aMgRo1io/v2OH6gRcWhpNLpMqMgccecwVgSZs3w/nnQ35+8LlERCQpqSgUkZR2xBFw553e8U8+cQWjSNKqVg1efNFtJy1p/Xo4+2z49tvgc4mISNJRUSgiKW/wYDj8cO/4oEHwzTfB5xGJm5o1YcoUyMnxzn3/vSsM1aBTRET2QkWhiKS8mjX9VwU3boQzzoAVKwKPJBI/9evD22/DoYd655YscVtJf/kl+FwiIpI0VBSKSFo4/XR38UxJK1e6y2j+/e/AI4nET+PGMGMGHHCAd27uXHf2cNu24HOJiEhSUFEoImlj5Eho2tQ7/v33cNpp8NVXwWcSiZsWLWD6dGjQwDs3fTr86U+6XUlERHypKBSRtNGokdtlt99+3rnVq91W0gULAo8lEj9HHQVTp0KtWt65V16B228Ha4PPJSIikaaiUETSytFHwwcf+K8YrlvnLnL8+OPgc4nEzamnwoQJridLSY88AsOHB59JREQiTUWhiKSdI45wheEhh3jnNm6EDh3g3XeDzyUSNxdeCE895T93110wblyweUREJNJUFIpIWjr0UFcYtmzpndu0Cc47D955J/hcInFz7bWlrwr26eNaWYiIiKCiUETSWLNmrjA84gjv3JYtbrFF3zdLUhs40J0jLKmwELp3h/ffDz6TiIhEjopCEUlrBx7ovi8++mjv3Pbt0KWLu59DJCkZA6NGwZVXeue2bnU/+dC1uyIiaU9FoYikvf33d2cIjzvOO7dzJ1xxBTzzTPC5ROIiI8N9AZ97rndu40a44AJYtSr4XCIiEhkqCkVEgIYNYeZMd3FjSdZCjx7w+OPB5xKJixo1YOJEOOEE79y338JFF8GvvwafS0REIkFFoYhITP367nKZ9u3952+6CUaODDaTSNzUqQPTpvkfop07F66+Ws3tRUTSlIpCEZEiateGN96Ajh395wcMgHvuUf9vSVL77gtvvun2TJc0aRIMGRJ8JhERCZ2KQhGREmrVgsmT3SUzfv76V3dx4zvvuMtoRJJKixbw+utQs6Z3bvhwePbZwCOJiEi4VBSKiPioUQNefhmuusp/fsIEd29HkyZwzTVu8WXr1mAzilTaiSfCP/7hP9e7N7z3XqBxREQkXCoKRURKUb26+765T5/Sn7N+vVtYueACVyBedZXbfrplS2AxRSqne3e4917v+PbtcOml8J//BJ9JRERCoaJQRKQMGRkwerR//++SNmyAF15wFzk2buxaWUyZAps3Jz6nSKUMGeLfw3D9ejj/fFi7NvhMIiISOBWFIiJ7YQzcfz889BDUrVu+1/z8s9t+euml7k6Pyy5z93hs2pTYrCIVYgyMGwennOKd+7//c1/A27YFn0tERAKlolBEpByMgVtvdT2+J02Cbt3cDf/lsWmTO4PYpQvstx+ccw48+CDk5+sWU4mAmjXdknZWlnfugw/cGUN9oYqIpDQVhSIiFVCnDnTqBOPHw08/ue+lL78c6tUr3+u3bIHp0+GOO+DII+Hgg+Haa937rVmT2OwipdpvP3dbUmamd+6559ytpCIikrKM1U//kooxJh/Izs7OJj8/P+w4IhKzZQvMnAkTJ7rb/jdurPh7GANt2kCHDnD22XDCCbDPPvHPKlKqOXPcF9+OHd65CROga9fgM4mIRFyrVq1YvHgxwGJrbauw81SGisIKMsZkAhMBrLXtQ/h8FYUiEbd1K8ye7QrE116DgoLKvU/dunDmmXuKxEMPdYWjSEKNGwe9ennHa9VyrSqOPz7wSCIiUZYKRaG2j5aDMSbTGJNjjBkBrAByw84kItFVsyacd55rZ/Hjj67JfY8ebodeRfzyC0ydCjffDIcdBq1bu9VIkYTq2RMGDPCOb9kCF14IK1cGHklERBJLReFeGGMssB54ClgLLA83kYgkk332cat848a5AnHBAhg2DM44A2rUqNh75ee7S2oeflj3fkiCDR8Ol1ziHV+92jXl3LAh+EwiIpIwKgr3rqG11lhr21hr84B1YQcSkeSUkQE5OTB4MLz7LqxbB9OmuZXAww8v33sUFsJtt8ENN7ge4yIJkZHhmm62aeOdy8931+/6nTsUEZGkpKJwL6y1lTwNJCJStrp1XX/wRx6BJUvcrryxY6FzZ/9LIIt68kn32sqeVxTZqzp14I034Le/9c5Nn+56tGjJWkQkJagoFBGJiGbN3P0eEye69hSffAL33APHHOP//Jkz4cQTYdmyYHNKGjnwQLec7deU84knYOjQ4DOJiEjcqSgUEYmgatVcS4o//xnmzYMbb/R/3pIl7jLIDz8MNp+kkaOPdo00M3y+Zbj7bnj00eAziYhIXKkoFBGJuOrV4bHH3Pfeft+Xr10L7drB888Hn03SxAUXwAMP+M/dcou++EREkpyKQhGRJHHTTfDmm1Cvnndu+3a4+mq46y53GY1I3N1yi7vlyM8118CUKcHmERGRuFFRGAHGmBuNMfnleQAtw84rIuE55xz4+GNo3tx/ftgw6NoVfv010FiSDoyB++93BWBJhYVw2WVqpCkikqRUFEbD/kB2OR81Q8ooIhFx5JHw2Wfukhk/kyfD6afDDz8Em0vSQEaGuyK3Uyfv3LZtcPHF7oYkERFJKioKo+EnYHE5H1tDyigiEdK4McyZA5df7j8/fz4cdxx8/nmwuSQNVK8OL70EZ5/tnfv1VzjvPPjii+BziYhIpakojABr7ePW2lbleQC6fF5EAKhVC158Ee6913/+u+/glFNcqzmRuKpZ0y1Jn3yyd66gADp0gKVLg88lIiKVoqJQRCSJGeO6Aowf74rEkjZtcjv6Ro1Sn3GJszp1XA9Dv0aaq1dDbi58+23wuUREpMJUFIqIpIBu3eC996BJE++ctdC/P/Trp8JQ4iwzE6ZPh8MO8859+y20b+8KRBERiTQVhSIiKeL4490FNK1b+88/8ACMHBlsJkkDjRvDrFlwyCHeuf/8x509LCgIPpeIiJSbikIRkRTSrBl89BGcf77//MCB6jMuCXDwwa4dRePG3rnPP4cLLnB7mUVEJJJUFIqIpJh69eD110vvM96jB7zzTrCZJA0cdpgrDDMzvXMffQSXXgpbdYG2iEgUqSgUEUlB1aq57aK33OKd27EDOneGefOCzyUp7qij4K23oHZt79yMGXDFFe4LUEREIkVFYeU1CjuAiEhZjIEHH4SuXb1zmza5dnLqGiBxd+KJ8NprsM8+3rnJk6FXLygsDD6XiIiUSkVhBRhjsoC2sb/MMsbkhJlHRGRvMjLcGcIzz/TOrVnj7gBZtSr4XJLi2rd3fVIyfL7NePZZuOkmrRiKiESIisK9MMYsMMZYY4zFNY7fdVgiE9g9Z4xRU3kRiaSaNWHKFDj6aO/cihVuxXDjxuBzSYq75BJ45hn/udGjoV07/URCRCQiVBTuXTugobXWlPYAGgJtQs4pIlKqBg3g7bfd7aQlLVqkO0AkQa6+Gh55xH/ugw/g2GPhww+DzSQiIh4qCvfCWltgrS2zwVJ5niMiEramTV2f8X339c7Nng1/+pOOekkC3Hwz/O1v/nOrVrm9zQ8+CNYGm0tERHZTUSgikkYOPxzefNP/csjx46FvX31vLglw110wcqT/GcOdO+GOO9yNSNrHLCISChWFIiJp5vjjYeJE17aipIcegvvvDz6TpDhjoF8/tyTt1+AeYNIkOO44yM8PNpuIiKgoFBFJR+edB+PG+c/17w8vvBBsHkkTZ5wBCxfCSSf5z//7364wfOWVQGOJiKQ7FYUiImnqT3+CYcP856691p0/FIm7gw6C996D227zn//1V7j8cncWcdu2QKOJiKQrFYUiImls0CD3vXdJO3ZAp04wf37wmSQN1KjhLpeZMAHq1PF/zmOPwemnw3ffBZtNRCQNqSgUEUljxrjvzbt08c5t2uS2mf7f/wWfS9JE164wbx78/vf+859+6tpWzJ4dbC4RkTSjolBEJM1VqwbPP++Oe5X000+uY8Cdd8I77+hySEmAI46AuXOhWzf/+TVroEMHGD5cPVNERBJERaGIiFCrFrz2Ghx1lHfuu+/c9+PnngsNG0KbNu442D//CatXB59VUlC9eu5ymYcegurVvfOFhe4nExdfDAVqCywiEm8qCkVEBIAGDeDtt6FZs9KfU1joLo98+GF35rBJE7fQ07s3vPgifPNNcHklxRgDt97qLqE58ED/50ydCqecAv/7X6DRRERSnbHqUpxUjDH5QHZ2djb56uUkIgnw73/DySfD2rWVe/0hh8Cpp7r3OPBAyMws/qhXz7+HuchuP/4Il13mCkQ/zZvDrFnQsmWQqUREfLVq1YrFixcDLLbWtgo7T2WoKEwyKgpFJAhff+1W/z75JP7vbYxbldxVJDZs6C0cDz7YXXLTpEn8P1+SxI4dMGQIjBjhP3/AAa5vit+eZxGRAKVCUeizcV9ERNLdkUfCRx/BsmXwwQfw4Yfu1+XLq/7e1rpjYXs7GlarFlx/PQwcqOIwLVWvDvfdByecAFddBT//XHx+1SrXsuKtt+DEE8PJKCKSIrSBR0REfBkDhx7qGtn/4x+uQPz+exg/Hm64AVq3Tuznb9ni2mW0aAH9+ulSm7R18cXw7ruw337euYICyM2FGTOCzyUikkJUFIqISLkdeKDrHPD44/Dll+7c4RtvuKLt+OP9L46sqs2b4f77XXE4YIBrkyFppk0bt1z929965379FS64ACZNCj6XiEiK0JnCJKMzhSISZZs2uX7jH37omt5v2ADr1+/ZLlpQ4J5TFXXqwE03uULUb/FIUtg330D79rB0qXcuIwPGjoUePYLPJSJpLRXOFKooTDIqCkUk2W3f7orFooVi0ceKFfDss24BqCx168Itt0DfvtCoUSDRJQpWr4azz4bPP/efz8uD/v2DzSQiaU1FoQRORaGIpIPVq2HkSLdNdfPmsp9br55rb3fHHe4mU0kDGza4LaP/+pf//KBBMGyYOxgrIpJgqVAU6kyhiIhETuPGrihcscIVe7Vqlf7cn3+Gv//dta7761/3fquppIAGDVw7ivPO85+/7z53de3OncHmEhFJUioKRUQkspo0cZfMLF/uVgNr1iz9uRs3wj33uOLw6acDiyhhqV0bXnsNunf3nx8zBq64ArZtCzaXiEgSUlEoIiKR17QpPPSQKw5vvrns4nDDBujZEx59NLh8EpIaNeDFF92qoJ8JE1xLi70dUBURSXMqCkVEJGkceCA88ojrmXjjjbDPPqU/95Zb4KWXgssmIcnIcIdP77rLf/7tt6FDB+0rFhEpg4pCERFJOgcdBI895tpeXH+9WzDyc/XVMHVqsNkkBMa4g6WjRvnPf/QRnHEG/PhjoLFERJKFikIREUlaBx8MTzzh2tZ16uSd37kTunaF998PPpuEoG9fd6A0w+fbmy++gHPPhV9+CT6XiEjEqSgUEZGk16wZjB8Pl17qnduyBTp2hIULg88lIbj2Wnj1Vf+9xYsWwZVXQmFh8LlERCJMRaGIiKSE6tXh5ZehXTvv3M8/u37nS5YEn0tC0KkTvPkm1KnjnXv9dRg8OPhMIiIRpqJQRERSRs2arkvBccd559ascfeNfPtt8LkkBLm5MHMm/OY33rm8PHjmmeAziYhElIpCERFJKXXrwltvQXa2d+6//3WF4U8/BZ9LQnDiifD88/5zffrAe+8FGkdEJKpUFIqISMrZd1+YMcM1si/p3/+Gc85xze4lDXTuDEOHesd37HCHUJcuDT6TiEjEqCgUEZGUdNBBbvdgkybeuYUL4cILYfPm4HNJCAYPhquu8o6vXw8XXADr1gWfSUQkQlQUiohIyjr0ULdimJnpnXv/fejWDbZvDz6XBMwYGDsWTjnFO/ef/7jVRH0hiEgaU1EoIiIp7aij3EWUfveNTJ3qOhioQ0EaqFkTpkyBrCzv3Lvvwg03gLXB5xIRiQAVhSIikvJOOsnVAzVqeOdefBFuu031QFrYbz+YNg0aNPDOjRsHDzwQfCYRkQhQUSgiImnh7LNdAWiMd+7RR+Gee4LPJCE44giYOBGqVfPO9e8Pb7wRfCYRkZCpKBQRkbTRtSs8+aT/3D33wCOPBJtHQtK+PTz2mHfcWrj8cvj88+AziYiESEWhiIikld694b77/OduvRVGj9ZW0rRw3XXuH3hJmzZBx47www/BZxIRCYmKQhERSTsDB8KAAf5zN9wAF12kmiAt3H8/nHeed/y771zPkl9/DT6TiEgIVBSKiEhauu8+6NnTf27qVGjVCl56SauGKa1aNRg/Hlq39s7Nnw9XX62raUUkLagoFBGRtGSMO1/YubP//Pr1cOWVcOml8OOPwWaTANWr534K0Lixd27SJPjzn4PPJCISMBWFIiKStqpVczeSXn116c957TW3ajh+vFYNU1azZvD6666XYUlDh8ILLwSfSUQkQNXDDiAiIhKmmjXh2Wfh4ouhTx9Yvdr7nLVroXt3t3D0xBP+i0pB2bkT3n8fJk+GJUtcoVqtWsUfDRtCt25w9NHh/b1EygknuC+E7t29cz17wsEHwxlnBJ1KRCQQxurHnknFGJMPZGdnZ5Ofnx92HBGRlLJmDdx8s1sVLM1++7nCsEuX4HIVFsLHH8OECa7FXry2s1ar5jozXHddfN4vJdx7L/zlL97xOnVg+nQ4+eTgM4lIpLVq1YrFixcDLLbWtgo7T2Vo+6iIiEjMfvvgBPdiAAAgAElEQVTBK6+4wmu//fyfs2aN63fYrZv7faJYC/PmQb9+bnfjqae6Ai6e5xt37oTrr4c77nC/F+Duu/1XCzdtgnPOgU8+CT6TiEiCqSgUEREpoXNnyM8v/RIagFdfdWcN//nP+H2utfDll3DXXXDooXDcca5rwnffxe8z/Dz4oLtQ55dfEvs5ScEYeOYZOPFE79wvv7jCcO7c4HOJiCSQikIREREfjRu7FcMJE2Dfff2fs3o1dOoEl1/uzh1W1pIlcM89rsg8+mgYNgyWL6/8+1XGG2/AaafB998H+7mRVKuWu5HU78Dlxo3QoQMsWBB8LhGRBNGZwiSjM4UiIsH78Ue3zXLKlLKfV60a7LNP8UfNmt6xonPffgtffFGxPDVrwrnnupXMAw5wWz8r8vjwQ9eD0c9BB8G0aXDMMRXLlJLWrIGzzoKvvvLONWwIs2fDsccGn0tEIiUVzhSqKEwyKgpFRMJhrTtveNNNrodh0KpXdwtU3brBRRdBgwaVfy9rIS8PBg3yn69Tx122c8EFlf+MlLF6NZx5Jrhv+Ipr1AjmzNEVriJpLhWKQm0fFRERKQdj3DbR/Hy48MJgPjMjA9q1g7FjYdUqePNNuOqqqhWE4P5eBg5022Nr1fLOb9rkCs+HH1ZvRho3doXf73/vnVu3DnJz4euvg88lIhJHKgpFREQqoGlT19D+hRcgMzMxn3HKKfDoo+5836xZ0KtX6ecaq6JzZ9fzsEkT71xhIdx2m2vRsWNH/D87qTRp4grDww7zzu3aYuq3kigikiRUFIqIiFSQMXDllW7VsEeP0ttXVMQf/gCjRrkzhh9+6LapHnBA1d93b447Dj77zF1y4+fxx93K6MaNic8SaU2busKwZUvv3E8/ucJwyZLgc4mIxIHOFCYZnSkUEYkma90lLtu2ucfWrXt+7/fYNQ/QujW0aBFu/g0b3HnF6dP951u3dhfQHHJIsLki57//hdNPhxUrvHNNm7ql19/9LvhcIhKaVDhTWD3sACIiIqnAGHcZTPXqULt22GkqrkEDV/TdcguMHu2d/+ort6o4dapb1UxbBx8M777rCsNvvik+98MP7lKa99/3X1EUEYkobR8VERERwBW0jz/umtkb453/8UdXC/3zn8Fni5RmzVxhePDB3rnvv3eFod9KoohIRKkoFBERkd2McRfMvPaa/4rn5s3QqROMGJHmN5O2aOEKw4MO8s7997+uMCy5kigiElHaPioiIiIeF17oLrzp2BH+9z/v/KBBsGABPPMM1K0bfD4/27fDd9+5Wuybb2DlSvfrunWuleAdd1S9nUcxLVvu2Ur6ww/F5775Zs9WUr8VRRGRCNFFM0lGF82IiEiQvvvOFYaff+4/n53ttpMefnjis2zevKfgK/lYudIVr4WFpb/+kEPg+eddDRdX//63e9Mff/TOtWzpbi1N+xt6RFJXKlw0o6IwyagoFBGRoP3yC1x+ubtkxk+9eq7Yuvji+H/2mjUwdChMnOiO61WVMdC3L/z971CzZtXfb7fFi93K4OrV3rmDDnLXupbW90NEkloqFIU6UygiIiJlqlsXpkxxxZSfn3+GSy6BO+90bTniYccOePRR193hoYfiUxCCOwc5apS7QfXLL+PznoBbMp09279p5fffwymnwEcfxfEDRUTiR0WhiIiI7FW1aq6YeuWV0ltuDB8O554La9dW7bPmzIFjj3XtMQoKqvZepfnqK1cYjhwZv0KWI490hWGjRt65ggLIzS19uVVEJEQqCkVERKTcLrsMPv0UDj3Uf37mTGjTBhYurPh7r1zpbjZt1w6+/rpy+Ro3dsVe585uZfORR+DUU/2fu20bDBgAZ50Vx4tCjzoK3nvPNbIvacsWt6T6j3/E6cNEROJDZwqTjM4UiohIFBQUwFVXlb7wVbMmjB4N11yz9/f69VfX4iIvz9VNpTHGHc9r1sw9mjff8/tmzdxdLn6rmDt3wv33w5Ah7oZSP/Xru+2qf/yjf4/GCluxAs4+G5Yu9Z+/7z5Xkcblw0QkTKlwplBFYZJRUSgiIlFRWAjDhsGf/1x6z8LrrnNnAv0udbEWXn0V+vd3rf3Kcu217rOaNKl83i++gCuvLHsVslMnePJJ/6OBFfbTT3DeeTB/vv/87be7PbkZ2rglksxSoSjUf4VERESkUjIy3Orbm29Cw4b+z3nySdet4bvvio9/8QWccYbbjlpWQXjCCTB3Ljz9dNUKQnC9CufNc/0KSzN5MrRuDe+8U7XPAmD//d0Bydxc//kHH3RLk9u2xeHDREQqT0WhiIiIVMm557rFsGOO8Z//7DN3zvC999wlNDfcADk58MEHpb/nAQfAc8+5Czv/8If4Za1Vy20lnT279J7yq1a5v6cbb4RNm6r4gfXquar5ssv8519+GS680PX9EBEJiYpCERERqbKsLFfA/fGP/vOrV7sFs0MPdWcNS2syX6MGDBwI//mPO7OYqJ2VZ53lWlJceWXpz3niCVe8zp1bxQ/bZx946SW4+Wb/+enT3e06a9ZU8YNERCpHRaGIiIjERe3abnXvscegenXv/M6dZbeYOP98yM93d7DUq5e4nLtkZvL/27v3MDmqAu/jv5MQucMkEAVZEHrwBROUZSZ4IQIuZBAh+6rrTMIGBNmVDA+vAi8LGcMDghcWJsoqiK6TiOALKGHGBVeNKzOsgFyEZAZBrvLMBHC9QpIBlCRIct4/zqlMpbuqb1PV1+/neTo96aquOl3dM1W/PjfddJO0cmV889df/1qaO9c1K52UKVOka66RrrgievnDD7u5DBMbBhUAikcoBAAAiTHGNbu8557oWRmivP3troXlj37kfq60BQvcvIUnnBC9/I03XA3opCe7N0a6+GJpxYroKtBnnpGOOqr8+TgAoEyEQgAAkLijjnJzFcbNESi52sAvfclloJNOqlzZouy3nxtc5rrrXL/DbBs3uikGN2xIYGef/KSreowakvV3v3MH7b77EtgRABSHUAgAAFKxzz5uQJfzzstd9olPuKaZF17outzVgqCW85FH3MA42cbGpFNPdc1gJ+0jH5HuvFPac8/cZePjUkdH/CSQAJAwQiEAAEjNtGlunsKhIWnRIuncc91opDfc4EJjLTr0UDdS6mGH5S77yU+kyy9PaEfHHOOGYI1qZ7tpk6ua/OlPE9oZAMRj8vo6w+T1AABUxrPPuukwXn45d9ntt7vKvkQ895zr0Pjss7nL9thDeuABaXZdzocNNAUmrwcAAGhQb3+7dPPN0ctOP116+umEdnTggW4+jzlzcpe98oo0f76b0wMAUkIoBAAAiDF/fnRz0Vdfda07X3kloR3NnCn9939Lxx6bu+y551y15KZNCe0MALZHKAQAAMjj0kulv//73MefftoNmLN1a0I72n131y71kENylz34oPRP/yTR7QdACgiFAAAAeUyZ4ia5j5pD8fbbpauuSnBn06e7CRtnzMhd9r3vSZ//fII7AwCHUAgAAFDAnnu6ALjrrrnLLrnEzXGYmIMPdjubNi132eWXu3AIAAkiFAIAABRh9mzpxhtzH7fWTbcxNpbgzo45RlqxInrZmWe6EUkBICGEQgAAgCJ1dko9PbmPb9gg/cM/SK+9luDOzjhDWro09/HNm93AM2vXJrgzAM2MUAgAAFCCK66QOjpyH3/0UemssxIeC+aLX3RJNNuLL7qhUaMmUQSAEhEKAQAASjB1quvWd+CBucu++13pmmsS3NmUKdJ3viMdeWTusieflBYskN54I8EdAmhGhEIAAIAS7bWX9B//Ie20U+6yCy+U7r47wZ3tsov0gx9I+++fu+zOO6Xzz09wZwCaEaEQAACgDEccET0WzJYtrgLvN79JcGf77iv98IfSbrvlLvv616WvfS3BnQFoNoRCAACAMp12mnTuubmPv/ii9LGPSZs2Jbizww937VanRFy+nX++tGpVgjsD0EwIhQAAAJPw5S+7GSSyrV4tfepTCQ88M3++dPXVuY9v3Sqdcor0q18luDMAzYJQCAAAMAnTpkm33Sbtt1/usuuvj85wk3LeedLZZ+c+/uqrLjT+4Q8J7xBAoyMUAgAATNJb3iJ9//vSm96Uu+yii6TlyxPcmTHStddGz4vxwgtuDsONGxPcIYBGRygEAABIwHveEz/ey9lnu+kqEhNUT77jHbnLHnpI6upyHRsBoAiEQgAAgIQsXiydc07u49ZKp5/uZpZITEuL9KMfSXvvnbvsxz92gfHGGxPu1AigEREKAQAAEnTttdKiRbmPB1NVDA0luLNMRrrjjuh2q+vWSWeeKR13nPTMMwnuFECjIRQCAAAkaOpUV0H34Q/nLnv9dff4Aw8kuMO5c6Vvfzt++d13S+96l/T5z0ubNye4YwCNglAIAACQsGnTpFtvlebNy1322mvSSSdJjzyS4A5PPVW65RbXpDTK669Ll10m/e3fSj//eYI7BtAICIUAAAAp2Gkn17LzqKNyl738snTCCdJTTyW4w0WLpKeflv7xH+PXefppN6niJz8prV+f4M4B1DNCIQAAQEp23dWN+XLEEbnLXnrJzSqxdm2CO3zLW9wwpz/5iXTQQfHrXX+9dOihrnaRgWiApkcoBAAASFFLi/TTn7oMlu23v5WOP97dJ+rEE6XHH5d6elwnxygvviiddppbd3Q04QIAqCeEQgAAgJTNnOlGHY2qvFu71tUYvvRSwjvdZRfpqqukkRE3iWKcO+/U1tmH6a6Oq/Stf/+rXnkl4XIAqHmEQgAAgArYbz8XDN/61txlTz0lffCDrq9h4t71Lun++6Wvf13aY4/IVaZs3qTjh5bqPee06YLMHbr/3i0pFARArSIUAgAAVEgmIw0ORs83PzIinXyy9Je/pLDjqVOlc85x6bOzM3a1d+pxfWvdR7XPsf9Lg/Ov0daXX02hMABqDaEQAACggmbNcn0Moyrt7r9f+uhH05tOcOs+b9W3P9Svj7f8UM/rgNj1WjWmjh+fr417/43+cvYF0nPPpVMgADWBUAgAAFBhbW3SqlWu21+2wUHplFOkN95Idp/33ivNmSP98z9LN4/P12w9oat1gbbkuRzc9Y1XtGvfV2RbW10N4333MVop0IAIhQAAAFUwd66bx/BNb8pddscd0gc+IF19tfTLX0pbt5a/n7Vrpa4u6dhjpUcemXj8L9pNF+pqHanVelhH5t2G2bpV+v73paOPlt79bjeVxeuvl18oADWFUAgAAFAlHR3SypXRs0bcf7904YVujsM3v9kFu29+U3r22eIq6159Vbr4Yukd75AGBuLXe3LHNt3xmYf0ysBP9XTmQ4U3vGaNm8rioIOkK6+U1q0r/BwANc1YmgDUFWPME5JmzZo1S0888US1iwMAABJw883S6acX3zJz//2l445zcxwed5wb2TSwdat0440uEP7xj/m309kpLVu2/VQZ9614SqPnXqOuTf9Pu2hj4cLsvLMr/HnnuQQKNJnZs2frySeflKQnrbWzq12echAK6wyhEACAxtTXJ519dnnPPeQQFxCPOEL6xje2byYa5YgjpK9+VTrmmOjlv/+9dM7CdTr058v1KV2n/fS74grS1SVddpk0uy6vi4GyNEIopPkoAABADejulm69NXoew0KeecaFwbPOyh8I99lH+va3pdWr4wOhJO27rzTws7206xeWKmOe0yLdotWaU7gg/f3SO9/pRspxF8kA6gChEAAAoEYsXCi98IILbb290gknuNaZk7Xjjq456a9/LZ15ZnQfxmxTp0qXXCIN3TNN9+63SO/Ww5qr+zSgj+UdsVTWuo6Shx0mLVokPf305F8AgFQRCgEAAGrI1Klu6oglS9x8hhs2SPfcI332s27E0h12KG17XV1uzvorrpB237308hx9tBsBdf58owc0V10aUKtGdbUu0MuKmGwxYK30ve+5pqSnneaqMwHUJEIhAABADdtxR9fU83Ofc9MEbtjg5jj8l39xfQONiX5eW5ubm/C227YfSKYce+8t/ed/Sv/2b9K0adLzOlAX6mr9jf5H5+sr+p32jX/y1q1uCotZs6SPf9wNnwqgpjDQTJ1hoBkAABC2bp10993SXXdJDz3kQuRZZ0lnnCFNSeHr/zVrXDPXsbGJx3bSRi3Wcn1GV2lf/SH/BqZMcTWHl14qHXxw8gUEKqwRBpohFNYZQiEAAKi2l192A+OsXLn94ztpo87WN9WjXu2jAvNhTJ3qag4vuURqbU2vsEDKGiEU0nwUAAAAJdlzT9ddcPny7QfC2aSd9VX9X2U0pgt0tf6oN8dvZMsWN6HiIYe4qs0NG1IvN4BohEIAAACUzBiX5Z591k1NuP/+E8s2ahd9RRcoozFdqC/pT5oZv6EtW6RvfUtqby88wSKAVBAKAQAAULb99pMuv1xau1b6r/+SOjvdYDSS9Jp21dW6UBmNaYl69aL2jt/Q2rX667uP0t1n3KBVq6THH3fNVAGkjz6FdYY+hQAAoNb96U/STTe5CsDwNIW76s/6lK7TRfqS9tL62Oev0Cf1aX1Nm7WTdt/d1UJm3w44wHVFPPDA9F8PkE8j9CkkFNYZQiEAAKgX1koPPODC4W23Sa+95h7fTa/qU7pOn9FV2lOvRD53WG3q1ICeU/75NN7/fumb33TTIQLV0AihkOajAAAASIUx0ty50g03SL//vdTXJx15pPRn7a6rtFTtGtajelfkc9s1omG160NalXcf990nvfe9bh5FAOUhFAIAACB1e+whLV4sPfyw9MtfSp/+tLR++sF6nx7UjToj8jkztEGrdLI+p89qirbEbvvPf5Y+/GHpi190tZMASkMoBAAAQEUdfrh07bXSH/8oPfTYLpr5wxt0z6I+vTH1TZHrf1Zf0CqdpL30Ut7tXnqptGCBC4kAikcoBAAAQFVMmya9853SyfONjr1lsXb4xf3S294Wue4HdafWtrTpq4se1oIFbqCZKAMDrsnq2rUpFhxoMIRCAAAA1IY5c6ThYenEEyMX7z7+G53X/36t/MC/67FHrU4+OXozjz3m+i7+7GcplhVoIIRCAAAA1I699pJ+/GM3+aExucv/+lfpnHO057ln6Affe01Ll0ZvZt06qaNDuu46+hkChRAKAQAAUFumTJEuu0xatUqaMSN6nZtu0tS579W/nvmsbr1V2nnn3FW2bHED2px1lrR5c7pFBuoZobBIxpiMMabPGDMYui2udrkAAAAa1oknuuak7e3Ry3/1K+nww7Xwvk9rdf9zsf0Mr79e+ru/k/7wh/SKCtQzQmERjDFLJI1KGrbWdlhrOyR1S+oyxowaYzLVLSEAAECDOvBANxnh4pjv4jdulK67TrM/fLCeOfI0ndH2WORqDz7ouiyuWZNeUYF6RSgswAfCXkld1trlwePW2jEfDsclDRtjWqpVRgAAgIa2005u5vsbbnA/R9myRTt9/xbdOHK4fnXAyTpa90ravjPhb38rHX20dPPN6RcZqCeEwjx80OuVNGatHYhZrUdSi6QVFSsYAABAM/rEJ6Rf/EJqbc272mEvrNK9OlYP6ij9b/1ARlu3Ldu0Sfr4x6WLLnJ9DgEQCgvp9fdxgVDW2iG52sJOmpECAACk7PDDXT/Diy6Sdtst76rv1S/0A31Ej+swnaEbNU2vb1v25S+7TV1yifTAAwRENDdCYX4L/P1ggfXG/H1nimUBAACAJO25p7RsmfTCC9IVV0gzZ+ZdfZae0o06U6Nq1fn6inbVnyVJTzzhnj53rvTmN0unnirdcov00kuVeBFA7SAUxjDGtMk1C5Wk9QVWD0LhwvRKBAAAgO1Mny5dfLH0/PPSN74hHXRQ3tX31//oK7pAL+gAfV6X6ngN6e36tXbSRq1fL333u9Jpp7mA+L73SV/4gjQyIm3dmnezQN0zltk8I/npJvr8f1uttWN51u2TtFiSrLURs6wmWq4nJM2aNWuWnnjiiTR3BQAAUF/eeEMaGJCuukp69NGSnvqi9tYLOkAv6AD9Rvtv9/OmmQeo7aR99KH5U9XR4SoqgcDs2bP15JNPStKT1trZ1S5POXaodgFqWLgHc6GawvHgB2NMi7V2PN/KAAAASMEOO0innCItXCjdeacLh3ffXdRTZ+olzdRLatdI7sIXpb9+Zwf99jv76TEdoNdbZsrsMFV2irtpyhR/P1V2qrvXVPezmTJFmjp14jbFN9QzkvH3/h8ZX7VgTOg/4R9Nbt1DxEORil0PzkGXnqa3HX9wtYtRMYTCeOVOMTFDoZAIAACACjNG+uAH3e3hh6XeXun226VJtJCbpjd0oJ7XgXqeK70msKbjfYRCSHLhTpKUds2fMeb/SDqnyNUPlaTR0VHNnl2XtdMAAACV19rqRpAZJ9GhsI3XLtbO380/um1gdHQ0+HH/1AqUMkJh8sqpYZwpaVYpT9i8eXPQdhkAAABAkv70gvSnkp+1cwolqQhCYW14UVKxCS8Ij69K+k06xWk4wTFrxBRdT6+tVsparXJUYr9p7SPp7bZK2lHSZkmjBdZF46uVvw31pJGPWT29tlopazXKUal91st57VDV+awOjD4aIzyiqKTp+ZqQGmN6JS3x/807UmkC5bJS+qOcNpJGPmb19NpqpazVKkcl9pvWPpLebjCKsup4lDYkp1b+NtSTRj5m9fTaaqWs1ShHpfbJea1y6jrRpqzcBueFRioFAAAAgJpBKCzOjALLyx2pFAAAAACqilAYb3Xo50KhLwiN48xRCAAAAKCeEArjhWcuLVRTmPH3a1IqCwAAAACkgtFHY1hrx4wxY3KBL1Ng9WB5f7qlqn5n5nrUyMesnl5brZS1WuWoxH7T2ketvHdoTHy+StfIx6yeXlutlLUa5ajUPjmvVQ41hfn1+fuOuBWMMRlNNC+9LfUSAQAAAECCCIV5WGuXSRqT1GmMietX2B3c058QAAAAQL0hFBbW5e9zmoYaY9rk5iccstYur2ipAAAAACABhMICrLUjklolzTDGDBtjOo0x8/yE9XdJWmatjW1eCgAAAAC1jIFmimCtHZPU7msG58gNLLNa0pU0GQWAkn1D0kxJL1a7IAAAJKDuz2vGWlvtMgAAAAAAqoTmowAAAADQxAiFAAAAANDECIUAAAAA0MQIhQAAAADQxAiFAAAAANDECIUAAAAA0MQIhQAAAADQxJi8HgDQsIwx8yR1S2qx1nZUuzwAAASMMS2SeiVlJI1JmuEX9VhrxypZFmoKAQANxRjTaYwZNsb0S2qT1KmJEy0AAFVnjMlIWitp1FrbYa3tttZ2SeqTNOq/1Kxceay1ldwfAAAV47+F3SBpxFrbXu3yAAAgScaYYblWLK0Ry/okLbDWTq9UeagpBAAAAIAKMca0ybVkGYpZZVhSizFmcaXKRJ9CAMCk+WYwPXL9IgL91trlVSoSAACpK/P8N8ffD8csX+PvuyRV5DxKTSEAQJJrammMGTTGDJb4vCWSRiUN+34RHXKDu3QZY0b9CRMAgJpUhfNfMPDZ+pjl4/6+Yv3hCYUA0MT8ibDNGNMr1+G9pI7t/oTYK6kr/K2otXbMnxzHJQ37vn0AANSEKp//iv2ytGJfqhIKAaBJGWOs3CAsKyStkxsOu5TnB0Npj1lrB2JW65HU4vcBAEDV1dH5r2JfqNKnEACa13RrbdBERcaYUufx6/X3cSdEWWuHjDHjkjqNMZmoeZcm07y00vM4AQAaQk2c/4owXniVZBAKAaBJhU+IZVrg7wv1wRjTxHyBy8IL/DxMJfXhCBk3xhyUwOsAADSRGjj/BY8XEtfnMHE0HwUAlMwPpx00ayl00gq+HV2YvcBaO2StNWXephMIAQCVlND5b7W/j2spEzw+UlrpykcoBACUY07o50LBLDhpFvOtKAAAtSyJ818wP2HOxPVeEArLbUlTMkIhAKAc4RNZoW9Kw/02GIUUAFDPJn3+s9aOyNUCxo142iVpvJJz/RIKAQDlKDfcVWzOpaz9EUYBAElI6vzXJWmGnxJjG2NMp1xY7CpzP2VhoBkAQDm2ndxqrV+f7++xQq75TXDyzvghyMfkvn1tr1b5AAB1LZHzn7V2zBhzkKReY8yg3Pkp2HZrpUfXJhQCACop9Ro73yyH0AcAqCU55z8fKrurUJYcNB8FAAAAgCZGKAQAlGNb5/oSB4+pqaamAACUqCHPf4RCAEA5yj25VWwiXgAAUtCQ5z9CIQBgsgqNKMrInwCARtQw5z9CIQCgHKtDPxc66QUnzfFaG6kUAIASNeT5j1AIACjHSOjnQt+UZvz9mpTKAgBApTTk+Y9QCAAomZ8/KZhDKZNv3dDy/vRKBABA+hr1/EcoBACUq8/fd8StYIwJTyB/W+olAgAgfQ13/iMUAgCyFWoOI0my1i6T+7a0M8+w3MGkvN213p8CAND0mvb8RygEAATfaM7x/80YY9qKfGqXv89pGuO3sUTSkLV2+eRLCQBAsjj/OcZaW+0yAACqwBgzLKmYk9+YtbY1z3YymjgpXik3h1OHpMWSlltreyZbVgAAksL5LxehEACaVNDkJV+zlmLWCa3bJvdta4tcs5qhemgyAwBoLpz/chEKAQAAAKCJ0acQAAAAAJoYoRAAAAAAmhihEAAAAACaGKEQAAAAAJoYoRAAAAAAmhihEAAAAACaGKEQAAAAAJoYoRAAAAAAmhihEAAAAACaGKEQAAAAAJoYoRAAAAAAmhihEAAAAACaGKEQAAAAAJoYoRAAAAAAmhihEAAAAACaGKEQAAAAAJoYoRAAAAAAmhihEAAAAACaGKEQAAA0JWNMmzGmrdrlAIBqIxQCAIBmtUJSd7ULAQDVtkO1CwAAQK3ztUlzJLVIGpM0Yq0dy17HWjtSjfJFMca0SJohV+YZklqstQPVLVU8Y0xGUpukjKRxSeslDVlrx1PeX08a2weAekJNIQAkxBizwRhjE7iNVvu1wDHGZIwxw5L6JcrlN1gAAA6pSURBVLX7hzsk9Rtjhn2wkDGmV9LSKhUzzlpJo5KGJQ1K6q1ucaIZY5b4z/ygpCPlAqHkjvNaf5w7U9h1t6Rxa+1QCtsOmqYm8fcgfMukUVYAIBQCQEKstdMlTZfUKilcYzQkqdVaa7Jvft0OudqK4GKYC78a4IPIqFxtVau1tttau8zft8u9Z4PGmCWSllS1sBFCn8earB30oWlULkz3+GPcY61d7m/d/jUMKSuEJ6RT0vIEt5dtRujnZXK/561y70lwCwfSAUnT/d+F4O9Ih39uoCXF8gJoYjQfBYAE+aZu48aYlXJN0yRpMLupYWj9MbnmiEPGmOWS7go9D1Xim16ukAuEkc0LrbVDxph2uRq5mmStDT6LadS0lc0H7n65L0La434/JMla2+PDY5+kYWPM8ZNtpuubA2ckrZzMdgoIAmx7XHmNMSOS5vn/rg6aygZ/RzTxt2FQriZ1RtR2AGCyqCkEgBrhLwS7pG39nVA9K+RqZfL2N/Pv2VkVKVH5UumTVy5jzDy5QChJXfkCYcBau1yuxqxF0l0+tE9Gt6SxlPuAtsh9qVDsPmLfJ9/EdUS0IgCQEkIhANQQf4HMxV/1tUlSMRf0fvCWmgpetcqHuSAQLi+lP5+vsR2XD4aTLMoCuZrHNO2lideahCHRfBRASgiFAFB7hkQorBofXDKhn4uRZt+0RtKriWBTzsA3V/r7NmPM4nIK4GsqW5T+e5aRa/6ZlFG5oAkAiSMUAkAVxYSOUblBJlAFWVMgLCjyaavTKEsj8Z/1IMjlTOlRpHCQK3cqiW6//7Rrd4PpS5IyJmoKAaSEUAgA1TUc8dgaUVNYbUFg6C2yf+eQ3EAgiBeu2StrGggf5IKglfEDxpSqU+k3HZXKD75x1sh9YQQAiWP0UQCokrimib4fW1fWuhm5WoKM3AiE68MTkfvRHIPmakVfjPoyzNNECB2J6+flyxCUY4bcQB1Dflmb385YvgnSQ6M+BmXdNjm5337QtG8g4QvqUl2piaaOw8aYHj/YSST/Ggo2R/Svf44mapGKeq+ynjciaU0aNV2lfB7K0BH6eTI1q+E+twu1/fQveYXmO7wtzzrZn/Ntv2sR799Q3PsQN2ptufx+lhVcEQDKQE0hAFTPvMKrbDMoV6vYL1fL0S25i1w/XP0MuYvjIyWNGmMGC/WHM8b0SdrgnzMid5Hb7SfJXpy1bosmJkEPytDhl/X717KX3HxyOYNr+DnpgvIHZc3ITU7e68vSI2m93IX+cOj1xU3kvSRrH70R65RVs2KtXaaJ2sIWSX1+e8N+P6W8d8Hr2CA3QEqr33bGbzf2vTLGzPPHZo58iJQ77hv88xKrUS7l81Cm8DGbTKANh+hSawq75b5wiNx/zOe82xjT4n/PloZWXyr3PvQnMBoqAFSXtZYbN27cuCV8k5vM3Prbkojl8+Sago2WuN1+v81BuWZwvRHr9Pl1+mK20eL3bSVlIpb3xpXbLx/2y3t9eeb5xweD15y1fsY/vkFSS9ayTr9sOPRYm6TOrPK2hY7ncPZ2Io77qD/GkesVeawzvsw2z60v6hjGvB/9ed7TnM9B6DWPRhy38DEttP95wXbS+DyUcDzDx60tod+ton9//Ou04c9WgfWDz/Oo/8zlOzYF34eYffSGXsviyRxfbty4cZvMjZpCAEhfrzFmg79ZY0wQ6sqp5Qkm254hqdtGN1ELaurianf6/b67bUTTRTsx9H9vTA1I0JywTa5pXfD/PrlanOxmlEH/rdtsVg2NnZjOYdtoktbaERtqgmqtHbeuSW3QdK4lezuhdYN1Oqy1sU37iuGPzUHK32RvsVzNbGTNoa/NXCxp3FrbFbG8Vy4YZyK2sdDfB81qs8sWzNs32f5xk/08FJRwTVr4PS1lMvfgfYht3pwl6COaUcx8iv7YDMi9D/QpBVC3CIUAkL5lcuHiILmmg+1yzdgm04SuTfFD+sf2UfN9quZJ2yYEjxMEvahguc7fzwuXwVo7YK1ttdZ2Z60fBJq41xuUtyNmeSCYjiAqQEna9vqWRV3Al8MH0h5rrZF733oUPUjKYPagJz4IBccnrn9ZuHnr+qxlK+WO2UhMkAlCSElNWbPKmMTnoaCIcF5KmMsWDpjZxyyfhcrTlzCPQv0+g/c240M+ANQdQiEApG+dDxfj1toxXxO2XNJZk9zumpjHt10oR9TQBIGt0OAcwUAgR+ZZZ7zI8FXsQCB5t+WDRRCO4kLWUk2Ex0T5922ZtbbDh8QObV/m7EAQDlCRYcR/Dtoltfra0Oz9TbfWtscUKd/7XKwkPw+lmEzNYXiuvmIHVMrIfZGS+Kij/ncgOH5J9L0EgIpj9FEAqBJr7UBczUIwgXp2UMh6fjE1jTO0fQ1dUKuUiRoQJiQYHTTfRXextXFXyjVR7FRWmPOvM6hhK+aC/Uq/nXnGmEw4lPqaurHJNBkthW822+oH0GmLKFNHaN3YMuV7jwM+1HTKhbIgUE2mti2Q5OehkBFNvNdHaiLglypcI1vsFw7dcl9iFD1SaYnG5MrVkv25BIB6QCgEgOqKu3hcoInpB6JMNvisierjVqKimu758DsgqdMY0xc0L/VBJwgikX22IrY1YowJwkWPJmq6pARrCY0xS0L9Ewvp0kQz0DaF5tHz92W/V/4Y9cmFtyG52sg11tpxvyypeeuS+DwUslITga6c+QUDc7K2WYxOFTFlyCSEP7uMRAqg7tB8FACqyFob14+uXZOrlSkkiVqmUrRImi5p3E/rMCwXdoYkTS9h8A9pIvgtDppNFlOzWiwfthYWXNHLaj4YHjxoUsHd95sMRlHt8s1WJzV4Th6V+DyE3+N55TR5Dc3XKbk5AoupZQ3mxkxzwnqCIIC6RigEgNo0RyVMyl2CIGhW7CI23KzTD9rS7m8d/v8lhZzQiKXSRB+upPsSllqTFfTvDL+Wso+1D0zBQDLLSwzNpajY58GH5/DryOl/Z4xZ7Odf7I8ZTCjc/LjYQV265T5/aX7Jsu3LgBSbqAJAagiFAFBjgkExUrqIDS7KM0VMbt+S0GiKc5R8TVQQAIPJxDuTDk7Zo4kWEISC8OA/25o2FjPZfdY64cAU9x7kTGlijFniRxQtVqU/D9uFuvA+fbk7/JcFXZI6wq/Frxscl4HQVCiFLFC6tYTSRJPWYssEADWFUAgAtadH6TUdvVITtVlL860odwG+rsA6xSp72oQYQf+wFmPMoNK56C8lAM1R1kAmPqQG72P2NB3b8XM0hpsSt4a2E/dZmEy/vEBFPw/+tYRf53AoGHYrNCKvnwMwXKYV/n6k2P6PPmi3aHL9CfPOJ+rnogy/BgCoO4RCAKghPhwsVuGmo/lqdWJr5XxTzeCCeomvlYwqR0bSwhIGW8lnjVx4S2wON/86ggv9eUpnEJF5xZTZr9OiieMaFgSgzjxzK7bIfREQbv46HFqeE/78czo0EeiC93wv5X6hEDtaaTU+D76GLwhPGU0Ew/GIpsQrfZPSPrnBYsYkHV/C7rrl+h5Oph9miw9+OfxxCYJr9yRr9+mXCKBqCIUAkLCIgUo68lxstxhjMkFfKk3UeK2OWlehWhZjTM5gHf7/4fCRs46/KG+XCxTD2c0NfTDtV0TI8a8jKMOcuNeVtb8RuZC7xBhjs24b/G3YGNNbzPZCgsC2PKXBV4bkmlXmTEwf8IFwiS9DTtNBHxJa5cLMYHbI9EFxWC5QjIeet1wTTTv7w8clNGprrybCcI9/fF64tjLrM9NijGlL8vNQLv/6glCbkbRBUltEcB6R+51YLKnHWtta4nvdqYkRbss1Jjf1yJKs5q7Be9ciNxBQSV9MBO9X6KHYvxMAkDZjra12GQCgIRhjNii5b/u7wn3kCmx7mbW2x4fKuGaaQ1EjnfoakIVyF+br5S7Sh3zTvfB6LXIX7nHGrbXT4xb6/RQ9MEixF9jGmFG5Y5XY4B6hqR6m+6kfOuXKPkOu1nNc7r2Y4+97iqlB8+Gqyz8vONZr/PMjg44PHt1yTUXHQ8/rCWql/PyCnXIB6qzgWBT4zESWudjPQ5L8Prv9Psc10aS1Q+51SVm/D6HnxvYl9ce7z1prJlGuXrnmqu3+cxDUCgbzNg5JurKYoOrfy34V/zdiXNLxDFwDoBIIhQCA1PiANSh3AR3ZvM6vk5ELBkEIaC3UFC+Ywy/PtB5lM8a0ZV+MBwMAaaKP2UgJg52ggNDUEUE4XCP3uRmWGz006kuNYbnglBPK/Jck4+XOv5gdCsvZRsQ2W6RtzXYnvR4AJIXJ6wEAaRqUNMNa2xq3gg9/Y5KGgtoduXBYqPatRymNKhlVOxMqJ1IQama8HWPMiFyfzO1qBX3NXVtMIAyaUSf+hcFkFBvyCIMAKo0+hQCANAXN7IoVTOmwl7Stz+Wg73MY7s8V9J9La/4+1I6gf22/n79wia8F7Ff8FBCL5WoJqckFgCIQCgEAaRpQ9AAicYI+W8Ecf/P8rU3b95fs1fZz3qFxhfuXBv07g89C3CAy3ZJuS2j/jAoKoOERCgEAqfH9uZbJjbzZl2cUz07fP6xNrj9h0IxwSK5/2UBQK+j7eq2nlrA5+KaUUe/1WNSARKE+qmU3Lc4aZTcTNWorADQSBpoBAKTOX1AvkBt9M2oexTWS+qOa+/kgGYxcOkNucJk05iVEDfNzFS7w/x2SG2k1qj9hr6TOfP1Y8+yj0Ci7RY+MCwD1hFAIAAAahp+KY3ma02gAQKOh+SgAAGg0qYxKCwCNippCAAAAAGhi1BQCAAAAQBMjFAIAAABAEyMUAgAAAEATIxQCAAAAQBMjFAIAAABAEyMUAgAAAEATIxQCAAAAQBMjFAIAAABAEyMUAgAAAEATIxQCAAAAQBMjFAIAAABAEyMUAgAAAEATIxQCAAAAQBMjFAIAAABAEyMUAgAAAEATIxQCAAAAQBMjFAIAAABAEyMUAgAAAEATIxQCAAAAQBMjFAIAAABAEyMUAgAAAEATIxQCAAAAQBMjFAIAAABAE/v/jCPCwA+9YCgAAAAASUVORK5CYII=\n", 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" ] }, "metadata": { "image/png": { "height": 443, "width": 450 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# plot the correlation dimensions\n", "plt.plot(midbins2, dims[0], '-', color='blue', label='Quarks')\n", "plt.plot(midbins2, dims[1], '-', color='red', label='Gluons')\n", "\n", "# labels\n", "plt.legend(loc='center right', frameon=False)\n", "\n", "# plot style\n", "plt.xscale('log')\n", "plt.xlabel('Energy Scale Q/pT'); plt.ylabel('Correlation Dimension')\n", "plt.xlim(0.02, 1); plt.ylim(0, 5)\n", "\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.7" } }, "nbformat": 4, "nbformat_minor": 2 }