{ "cells": [ { "cell_type": "markdown", "id": "8136f6c4", "metadata": {}, "source": [ "# Ray-tracing BER at Various TX/RX Antenna Bearing Angles\n", "This notebook runs an end-to-end simulation of communication through ray-tracing channel models and measures the bit error rate (BER) at different bearing angles for both the transmit and receive antennas." ] }, { "cell_type": "code", "execution_count": 1, "id": "0d0aaa42", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import scipy.io\n", "import time\n", "import matplotlib.pyplot as plt\n", "\n", "from neoradium import DeepMimoData, TrjChannel, Trajectory, Carrier, PDSCH, AntennaPanel, Grid, random\n" ] }, { "cell_type": "code", "execution_count": 2, "id": "05aeedf9", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "DeepMimoData Properties:\n", " Scenario: asu_campus_3p5\n", " Version: 4.0.0a3\n", " UE Grid: rx_grid\n", " Grid Size: 411 x 321\n", " Base Station: BS (at [166. 104. 22.])\n", " Total Grid Points: 131,931\n", " UE Spacing: [1. 1.]\n", " UE bounds (xyMin, xyMax) [-225.55 -160.17], [184.45 159.83]\n", " UE Height: 1.50\n", " Carrier Frequency: 3.5 GHz\n", " Num. paths (Min, Avg, Max): 0, 6.21, 10\n", " Num. total blockage: 46,774\n", " LOS percentage: 19.71%\n", "\n" ] } ], "source": [ "# Replace this with the folder on your computer where you store DeepMIMO scenarios\n", "dataFolder = \"/data/RayTracing/DeepMIMO/Scenarios/V4/\"\n", "DeepMimoData.setScenariosPath(dataFolder)\n", "\n", "# Create a DeepMimoData object\n", "deepMimoData = DeepMimoData(\"asu_campus_3p5\")\n", "deepMimoData.print()" ] }, { "cell_type": "code", "execution_count": 3, "id": "4818ffc5", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# We create channels between the base station and these four points\n", "points = [[-200,75], [150,-125], [140,150], [120,60]]\n", "colors = [\"cyan\", \"darkgray\", \"blue\", \"magenta\"] \n", "# Create the carrier:\n", "carrier = Carrier(startRb=0, numRbs=25, spacing=30) # Carrier with 25 Resource Blocks, 15KHz subcarrier spacing\n", "bwp = carrier.curBwp # The only bandwidth part in the carrier\n", "\n", "# Let's draw the map and show the above four points on the map with small blue circles\n", "ax = deepMimoData.drawMap(\"LOS-NLOS\")\n", "x = [point[0] for point in points]\n", "y = [point[1] for point in points]\n", "ax.scatter(x=x, y=y, c=colors)\n", "for i, point in enumerate(points):\n", " ax.annotate(f\"P{i+1}\", (x[i], y[i]), textcoords=\"offset points\", xytext=(10,0), ha='center', color=colors[i])\n", "\n", "# Create 1-point trajectories. Each trajectory contains only one point. Since we just want to study the bearing\n", "# angles, we don't need a real trajectory.\n", "trajectories = []\n", "for point in points:\n", " gridXy = deepMimoData.xyToGridXy(point)\n", " gridIdx = deepMimoData.gridXyToIndex(gridXy)\n", " trajPoint = deepMimoData[gridIdx]\n", " trajPoint.speed = np.array([14.0,0.0,0.0])\n", " trajPoint.sampleNo = 1\n", " trajectories += [Trajectory([deepMimoData[gridIdx]], deepMimoData.carrierFreq)]\n" ] }, { "cell_type": "code", "execution_count": 4, "id": "056a4228-4d7e-4c8f-8852-b7c9d2ca1c1c", "metadata": {}, "outputs": [], "source": [ "def getBitrateInfo(numSlots, snrDbs, freqDomain, pdsc, trajectory, txAlphas, rxAlphas, seed=123, quiet=False):\n", " results = {} # Dictionary to save the results\n", " for snrDb in snrDbs:\n", " random.setSeed(seed) # Making the results reproducible.\n", " t0 = time.time()\n", " results[snrDb]={}\n", " if not quiet:\n", " print(f\"\\nSimulating end-to-end at SNR={snrDb} db in {'frequency' if freqDomain else 'time'} domain for different TX/RX antenna orientations.\")\n", " print(\"TxAlpha RxAlpha Total Bits Bit Errors BER(%) Slot time(Sec.)\")\n", " print(\"------- ------- ---------- ---------- ------ ----- ----------\")\n", " \n", " for txAlpha in txAlphas:\n", " results[snrDb][txAlpha] = {}\n", " for rxAlpha in rxAlphas:\n", " channel = TrjChannel(bwp, trajectory, \n", " txAntenna = AntennaPanel([2,4]), # 8 TX antenna\n", " txOrientation = [txAlpha,0,0],\n", " rxAntenna = AntennaPanel([1,2]), # 2 RX antenna\n", " rxOrientation = [rxAlpha,0,0],\n", " seed = seed)\n", " \n", " bitErrors = 0\n", " totalBits = 0\n", " \n", " for slotNo in range(numSlots):\n", " pdsch.initGrid() # Create and initialize PDSCH's internal grid\n", " numBits = pdsch.getBitCapacity()[0] # Actual number of bits available in the resource grid\n", " txBits = random.bits(numBits) # Create random binary data\n", " \n", " # Now populate the resource grid with coded data. This includes QAM modulation and resource mapping.\n", " pdsch.setPdschData(txBits)\n", " \n", " # Getting the Precoding Matrix, and precoding the resource grid\n", " channelMatrix = channel.getChannelMatrix() # Get the channel matrix\n", " precoder = pdsch.getPrecodingMatrix(channelMatrix) # Get the precoder matrix from PDSCH object\n", " \n", " txGrid = bwp.createGrid(channel.nrNt[1]) # Create the transmitted resource grid\n", " pdsch.precodeTo(txGrid, precoder) # Perform precoding\n", " \n", " if freqDomain:\n", " rxGrid = txGrid.applyChannel(channelMatrix) # Apply the channel in frequency domain\n", " rxGrid = rxGrid.addNoise(snrDb=snrDb) # Add noise\n", " else:\n", " txWaveform = txGrid.ofdmModulate() # OFDM Modulation\n", " maxDelay = channel.getMaxDelay() # Get the max. channel delay\n", " txWaveform = txWaveform.pad(maxDelay) # Pad with zeros\n", " rxWaveform = channel.applyToSignal(txWaveform) # Apply channel in time domain\n", " noisyRxWaveform = rxWaveform.addNoise(snrDb=snrDb, bwp=bwp) # Add noise\n", " offset = channel.getTimingOffset() # Get timing info for synchronization\n", " syncedWaveform = noisyRxWaveform.sync(offset) # Synchronization\n", " rxGrid = syncedWaveform.ofdmDemodulate(bwp) # OFDM demodulation\n", " \n", " estChannelMatrix = channelMatrix @ precoder[None,...] # Perfect Channel Estimation\n", " \n", " eqGrid, llrScales = pdsch.equalize(rxGrid, estChannelMatrix)# Equalization\n", " rxBits = pdsch.getHardBits(eqGrid)[0] # Demodulation\n", " bitErrors += np.abs(rxBits-txBits).sum() # Calculating number of bit errors\n", " totalBits += numBits\n", " if not quiet:\n", " print(\"\\r %4d %4d %8d %8d %6.2f %6d %6.2f\"%(txAlpha, rxAlpha, totalBits, bitErrors, \n", " bitErrors*100/totalBits, slotNo+1,\n", " time.time()-t0), end='')\n", " \n", " dt = time.time()-t0 # Total time for this SNR\n", " results[snrDb][txAlpha][rxAlpha] = {\"totalBits\":totalBits, \n", " \"bitErrors\":bitErrors, \n", " \"BER\": bitErrors*100/totalBits,\n", " \"Time\": dt}\n", " if not quiet:\n", " print(\"\\r %4d %4d %8d %8d %6.2f %6d %6.2f\"%(txAlpha, rxAlpha, totalBits, bitErrors, \n", " bitErrors*100/totalBits, slotNo+1, dt))\n", "\n", " return results\n", "\n" ] }, { "cell_type": "markdown", "id": "88e972fd-24ff-460e-88da-b39a3635d81b", "metadata": {}, "source": [ "## Different TX Bearing Angles" ] }, { "cell_type": "code", "execution_count": 5, "id": "d977637a-7274-4c81-a97c-7619a31c2083", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Running at UE position P1: (-199.55, 74.83) ...\n", "Running at UE position P2: (150.45, -125.17) ...\n", "Running at UE position P3: (140.45, 149.83) ...\n", "Running at UE position P4: (120.45, 59.83) ...\n" ] }, { "data": { "image/png": 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OkwF+vbc3AqWWATV/wqsT8uFrXImn766Jv9EElbEZPfAzcuIM2mI2TiE3HsSNeBObMRVdkIikbMkLFokkCsBFJCBiPWCKC9BrZDaM4N/F+mcgQVZmEdDkfQydANyCd1EFGzEaQzEKw/Am7jCBuK0XJqIRlpgAHZgfNh/Vli1bsM9uyg+C4sWLo2LFin5VAmM5XmKec4kSJZDDy2UEzleoUCHky5cv3ddjPvyBAweQP39+Vx51eic1nJevmTt37hTPHTt2zJR69OwAefjwYfM487LPnDmTZtWZ8lZ1Gr6OPQ/Xj329MlqHaKEAXEQCIpYDwFhdbxFbHpzCediArXCWjXUPvmkPSiIB51AcwQt2fQm+a9asiVOnTgXtPRnIrl271ucgvEaNGqbmNYNSBs/79+9H165d8d5776UIfjnf//73PwwePNjr6+zevRsPPPAAxo8fb5aBgW/Dhg3x/PPPo2PHjinmZdD9yCOP4JtvvjHvyalUqVK48847cccddyBXrlx4++23zfu5n7zMmTMHvXr1Qt++fc3znB588EGvVUq2bdtmbt3nYcDPYLxIkSLmdR577DGUK1cO0UqdMEUkYBxpPBZtF4ezc30UzEsk2oEyWI56qIsVrsem4wLchLHoje8xGGPwJa5GVWxAuGDwGMzgm/h+/ra4P/PMMyZg3blzp7ndvHkz7rrrLp//nkF7q1atTDnfZcuWYe/evTh48CAuvfRSdOvWDRMmTHDNy8c574oVKzBz5kwTELOs49SpU00r+8aNG72+x6RJk8yJwS233IKxY8e6qpIwmOYye07u7Hm2b99uTgwmTpyITZs2mROE9evXI1qpBVzSxC/dtGnTzJlpixYtUl1m+u2331L9Dc+kPcs88Uu7ePFi8yXj60RiuSDJXEt4tATejjRSRBQsS1Q6XgxYeylwsghQ9F+g+s9ADi+VJtZeAhwpj6uRz+R218ZqDMMrrqdLYTdaYh62oxyWoCHG4XJchu+ZCBHc9YkiTO3o0KED/vzzT78CeAb9CxYscP0+sxX8oYceMgH57bffjosuusi0tD/99NOmZvrs2bNNuovd2bFy5coYOXKk19f/4osvcMMNN2DEiBEYNmxYltYvLi7OBN4//fQTGjRo4Gq1j0YKwCUVBtf333+/OQtleZ/OnTvjq6++SjEPz4KvuOIKXHzxxciZM6fr8bp166YIwEePHo3hw4ejWbNm5m84ctWUKVPM6FWRJrtSLOKitNU7GkXreokYyXHAtOeAOfcCyTmAuGTAkQPIuxe4+Gag9o8pN1TBbUD5ebh48QkMxWi0wF8pjmfnY7WZ6Ea8b3LEv8JVAD7XBvcDW6HZQsxUkNWrV5uANK1UE2++++4783vtrQb6bbfdhi+//BJz585F+/btMW7cOFx++eWu4DsjY8aMMUE3W72vu+66VM8zf92zxZspLCUyeH3GFQMGDDApMufOnfOa9x7pom+NJMvYgaJJkyZ45ZVXcNVVPFim7YMPPjCdSrzhJSx+MZlHxpywkydPom3bthg6dCi+/vprfVIiIuHk9xHAnw/81yzgsLJUTxQDvvkOGNgNqPp7qk6Y/f/LYEhTeWxHSezBelTLpoWPXi+//LLJlWYwy/QR/o7eeuutPv0tG9EYAFer5n2724+zgax169bpzuuJueJMhWELu7fg227Qa9myZYrHGjdubFq4M3LeeeeZuIGt95HYaJcR5YCL197J/HKzl3RGeNY8efJkr3lhn3/+uRkOmME3scc1O3F8//33Js9LRETCxLGSwNxhaVyTs0KF35/3OR98oal28p9p6IgdKGdSUgSZygFnOidztNmSzSvTbBHPCFM+mdZx+vRpr8/bj7OFOT4+3kxpzeuJV7QHDhyIF1980aSseOMtB9yX4Nt9gB2mxkQjtYBLpvGLynwxBup//fUXevbsiY8//tg1OhVzy+rXr5/ib/h/fqnWrFmDpk2bpnpNfvHdv/zMQw8nsVzpQySYYjHdJy7Qtbr9saovkJxO/xxHArCjOXCgClDUe0c8WyLO4j68ZOp/V8W/2Iky+Ast8DCew0X4NfDLHkP4e3vPPfeYVvBFixaZ9M6Mfqdr1aplrkh7Yz9+/vnnm3lZFWblypU+LQvn52/+TTfdhO7du+Pnn382aSyBsmLFCnOyUbRoUUQjtYBLpjDt5O+//zadOqZPn+7qMc3SRe6Xnnj2687OQUurNig7cbCWqT2xBT3cxGJgIMGlk7zY5AhlAH6yGBB/zrf5qOuDZhAeb0pgH2agI97Gbab+9wN4ERtRBc/h0QAvdGyyryC7979Kz/XXX48ffvjBNHy5Y9k/tl43atTITDRo0CBzlXrVqlVeX8uuSe4ehL///vu4+uqrTRDOeCAQ9u7da4L7K6+8MuJHvEyLWsAl02kqdiF9O1eLZ8HM7R41apSro8WJEye8Hjg8i/rb2GHTvRc1W8DDMQgX/+nqgX/bSmKTexAe1BbxwpuA5Iwu9ScDBbc679b9JsOXbIilZpLAdMJkwLxhwwZTvYQBc506dbzO546tx2wx//33303JQQbcbDVnXXBWNWFQPmPGDNf8d999twmiWVKQV7jZ0s4Bddgq/uabb+KNN95AvXr1UrwHA+R33nnHpIrwSjjLGjJFJq1OmFSmTBlXRTR7HrsO+Lx580xjHH/7n3vuuajdfRSAS8CwxXrPnj0pgnKmoXgOfEBVqlTx+hoM2jmJiMQ6BuNBC8Jrjwd+fhM4w74/Xloc484C1ScDBXYHaYGEOBCNPagNW5s5IA7L/TIId68M4j6fOwbZbJ1mVTNWKnnrrbdMQ1eBAgXM6yxZsiTFYDd8TeZof/LJJ6ZBjYPtMO2FwT7v28E3/75s2bIpgnAG5/z9ZmUVVk7jPExJ9eyESfPmzTONeO7z2CNhclChRx991OSX+9rKH4niHDzlEEkDR6Pil8+zDCHPnnkgsHE34pkyvyz2JSiWSmLpI56xV6pUyTzGntL8wi9d6lurCFvAGdgznYVfzP/23PC6JBVeSxNcjhjYTo4gr09mD8qh3L76Ick+QQvCl1wL/PCxs6XbPUM17hyQ8xhwU0ugxNosp85kx37qHsp4/m5w8BsWCmDDj/vV10gYCVPSltbnGinUAi5eMQeMPaxZkJ87NmuD8pYBuV3fmzliXbp0MUE364iyPilrfNt69+5tBgxgXhhLFfF5FuzniFkikUKBpYSaHeBmeyDe8BMg51FnOcL9Na0Hk4EqvwPd7/YafEcyBsEMhv0dmTKr/acUfAupBVy86t+/v8n7cscOlbyEZWOwzV7Px48fN72s2XnDs7cyK5rwkhg7a/Lv2RmENcZ9pRbw8BfNLeAZrZtawH3fVhJBreH8MPfUBU4VduaGF9qW/uwR2gIuke1UhH+uagEXr9hSnZELL7zQTOlhPhgH3hGJNAooJWYxQi7lvWydiASGAnARkTCMfzJzAuCI8CsOEkbpKCKSrVQHXEQkCin4jm4hrRkuIlmmAFwkixToSFY5vEzaJyXD/UZBuEjEUgqKSBYo+I5tjjDdFxxhuEySPZSSIhKZFICLZEJcBHUCjAujTofq2Jj9YjnojuV1DyXmo6s1XsQ/CsBFwoAC09gO6DLb6dLb64iISPhTAC4iEgbs4FknYyJBtGULEMSBeFC8OEcACt77SdhSAC4iEkYC1RouIj4E3zVrckSX4G0qDhizdq3PQXjz5s3NgHYTJ05EhQoVXI+/8MILWLlyJT755BPXfPfccw+uvvrqNAcq+uqrr/DNN99gy5YtKFCgADp27GhGqfYcQI/v9dFHH5n5ypYtix49ephB9DjqtQSOqqCIhEHVChGRWBE2x0u2fAcz+Ca+nx8t7qtWrcKKFSvw+OOPp3h8586d2LBhQ4r59u/f7/U1kpOTccUVV+Duu+9Gt27d8O677+KBBx7ArFmz0LBhQ/z777+ued966y0zb9u2bTFmzBjcdNNNWLJkCW6//fZMra6kTS3gIiISU8GfcuUlkgwcONC0dA8bNgz16tXz++/feOMNfP/991i4cCEaNWrkepwjWbdq1QrXXHMN5syZYx575513cPPNN5tg3darVy/TCi+BpRZwkSyIc5tEJPzpuyqRpl27diYN5KGHHsrU348dO9YE0e7BN+XIkQPDhw/H3LlzTSs7xcXFYdu2bSZlxV2uXLmysAbijQJwkUxQ0C3ZSUGiiLj73//+h8mTJ2PGjBl+bRimnzBXvEGDBl6ftx9ftmyZuWVAzhzwunXrmhZ35owfOHBAH0Y2UAAuEgat3XFZfH3Pv8/MawXiNUREJPDq1KmD6667Dg8++KBff5eUlGSC8Lx583p9Pl++fOb2zJkz5rZfv34mn7x///5YvXq1SUcpX7483n777QCshbhTDrhIBFEwHP3CpoOaiISVp59+GtWrV8e3337r898kJiaidOnSKTpsurMfr1SpkuuxatWq4ZFHHnEF5kOGDMHgwYNx8cUXo1y5clleD3FSC7hIGFJLdOyIlmo6OjkUyV5siWbZwIcffhhnz571+e969+6NcePG4fDhw6mee++991CyZEnTGdMblh688cYbTUv65s2bs7T8kpICcBHJkE4IRERCjznaLDf49ddf+/w3LGGYO3duU+1kn1UCkWkprHjy6aef4tVXXzXPE8sTzp8/39UJ8+TJk2a+QoUKmbxwCRwF4CIiIiIRoEiRIq4g3NPzzz9vgmT3afz48ShTpoyrzGDFihVRo0YNFC9eHKNGjTLpLO6D97Rp08YM6FOwYEGT7sL5Fi1ahJ9++sk8JoGjHHARERGJPRwWni2/wR4Jk+/rowULFpgcbndDhw5F9+7dXR0o7fmYJuLJztmuXLmyCaKPHTuGHTt2mJEwGZh7uvTSS8104sQJMx/TUxR4Zw8F4CIiIhJ7OBw8h4X3Y2TKLGPw7eMw9FS7dm2vedme6SDe5vMmf/78pgU8I6yaws6Ykn0UgIuIhLBDoed7RXJHTJGIw2DYj4BYJFAUgItITFLVDhERCRV1whQRERERCSIF4CIiIiIiQaQAXEREREQkiJQDLiIZUsdAERGRwFELuIiIiIhIECkAFxEREREJIqWgiESB7EoRUak+ERGRwFMALiJpUu538PGkR9tdJDi2HN6CfSeCNxJm8bzFUbGQ7wP/PPLII+jRowfatGmT5jwcMn7ChAnYsmWLGWK+Y8eOaNGiRar5Dhw4gPHjx5v5ypYtiwsvvBDnnXdeptdFskYBuIiPvAVFaiEWEYnc4LvmmJo4de5U0N4zd47cWDt4rc9B+OjRo1GmTJk0A/B33nkH99xzjwmmmzVrZoLxnj17okOHDvjss8+QJ08eM9/cuXPRrVs3tG7d2kwrVqzAa6+9hoEDB+Lhhx8O6DqKbxSAi/goXIJttY6KiGQdW76DGXwT34/v608reFp+//133H777XjvvfcwaNAg1+MPPvggmjZtiiFDhmDs2LHmseHDh6Nr16747rvvXPMlJSVh2bJlWV4OyRwF4CIiEhBxT/r/N45M/I1Eh9yJQME8wJGTwKmzoV6ayPO///0PjRo1ShF8U7ly5UyrNlvGn376adOCvnPnTjRo0CDFfAkJCebvJTQUgItIplv/1RovoQjaJcLVAMZ1B3o3BRLigaRk4IeFwCuTgDnrQr1wkWP27Nm48847vT53wQUXmBZupp706dMHvXv3NuksDLovuugik65SpEiRoC+z/EdlCEXCkAJbEYlKnQE8DlzSxBl8E2/5/1mPA7fyecnQ6dOncerUKZQuXdrr82z1pkOHDpnbESNGmJzvBQsW4OKLL0bx4sVNnviiRYu0tUNEAbhIGAfh3iYRkYhUA8ANzktqiQkpn+L/4+OAN28AWnM+SVeuXLmQP39+bN++3evz27ZtM7cMtCk+Ph633HILZs2ahWPHjpn88RMnTpjW8KNHj2prh4ACcBFJlW7iOYmIZFl3AMnpz8J0lHs4n2SIaSa//vorkpNTb9RJkyYhZ86cpuKJp8TERPO3bBHfu3cvli9frq0dAgrAxStelrr55pvN5S2eNXvz77//mtyyChUqoH79+ubLnJl5Ir1FWq3SIiIZSATQlPkmGcyWAFzW1NlBU9L36KOP4p9//sHIkSNTPL5mzRrz2F133eVqAZ84cSLOnDmTYr4lS5aY20qVKmlTh4A6YUoqq1atwk033YRbb73VBNBHjhxJNQ8vYdnF/qdMmWL+5tprr0VcXJz50vs6j4gEDk8GdcVCwlIe35v8mBPO6iiqjOL0ww8/YNOmTSm2Ub9+/cxv61dffWUayTgPO1bu3r0bP//8M6655hpTJcU2ffp0DB482FQ9KV++PNavX28e4zysmiLBpwBcUqldu7arYwZH1/Lm008/xb59+/DRRx8hX758rr9hRw/2yma+mS/zxDq1notITDhppZ/4cNhnGgpLEwZjVEoOjBPsgXj4vr56/vnnU7Vckz3ATt++fc0AO1OnTjUjXDLA5m+s5wiXL7/8Mh566CH8+eefJj+8Xbt2pn64gu/QUQAuqbCFOiN//PEHWrVqZQJrG0fi4sGCZ9Y1atTwaZ5ooUBaRCQdrPO9EECTDNJQkoCEv4GTQagLzsFwOCplOA9Fz8F0MsLOmCwzmJESJUr4NJ8EhwJwyRQOd+t55lyqVClzy4L/DK59mcdbaSVONm/pLxL8kwmlNUSHrJ4oaj+QLJkEoFkG88Rb8wUJg+FAjEop4i/lAEimOBwOU9DfXY4czvM5u0e2L/N44qWzQoUKuSZ23hQJx4632TmJRCUOsvOhtZMneTyXZD3O5zUYj8QAtYBLpvBSFssXubP/z+d8ncfT8OHDMWzYsBQt4ArCQy8ag8JoXKes0IiUEhS/A9hqlSRsajUDsj3mb6vlW8G3xAgF4JIp7H3N1uqzZ8+amqI0c+ZM02pds2ZNn+fxNrgAJ5FYlN1BsFJIJCyssyb+LLAvITtcBiHnWyScKACXTLnuuuvw3HPPmTqkTz/9tClXOHr0aNx2222uYNuXeUTCkVqDRYKAQbcCb4lRCsDFK9YJPXXqlEkBYVUUFvNnB8qVK1ea53mftUZZf3TUqFEm1/uGG27AM88843oNX+YRSYuCYBERiVYKwMWrpUuXmk6U7jzrdrdt29YMrsMBd1iT1LPDpa/zSMYUjIqIiEQPBeDiVbFixXzeMqxBGoh5IoECYREREckqBeASkRQIi4iISKRSAC4iIiKx6fgW4HTwRsJEruJAPt8H/pkxYwbOnTtn7jOFs3Tp0qaKmGdKKB04cMAUO8ibN6+Zxx53Q8KTPh0RERGJzeB7Qk0g+VTw3jM+N3DxWp+D8F69epmiCJySkpKwdu1a5MuXD+PHj0e9evVcA9vddddd+OCDD3D++eeb+fbt24d77rkH9957bzavkGSWAnARERGJ6LTATA2sxZbvYAbfxPfj+/rRCj548GAzEVvDO3bsiPvuuw+//vqreezdd9/Fp59+ikWLFqF27dqu1vD33nsvm1ZCAkFD0YuIiIhEAKaV1KlTx7Rw2/7++2/zmB18U9GiRfHAAw+EaCnFF2oBFxEREQlTTDuZOnWqSS1ZvXo1vvrqK7z++uuu5+vXr4+PP/4Y77//Pi6//HIz2rSEPwXgIv4oVAloeL31HwdwfC+wYyGwY0HK+YrVAGr3AY5sB5Z9qm0sIiKZ8ttvv5nAm7nemzZtMrnfzZo1cz1/++23Y8uWLSbnmwPf1apVC126dDH53xUr+p7qIsGlFBQRfxSuDFzwJJC7MLMegbJNgRv+ALq/5nw+MR9wzVTgqh+B+tcCDa7V9hURkUxj/jdbwKdNm2aqnDRp0sQE2CdPnnSlpYwcORL79+/HrFmzzIjTkyZNMi3jDMwlPCkAF8mMea8CM58CfroRmHgr0PwuoFhNZ6v47OeBN2oD2//SthURkYCJi4vDVVddhe3bt2PJkiUpnktMTETr1q1NB805c+bg+PHjGDdunLZ+mFIALpJVW+c6b4tWA86eADZO0zYVEZFsweDb/OQULWpu2fLtKXfu3KZWOG8lPCkHXCSryrdw3h78V9tSRESypROmw+HAhg0b8Oyzz6J79+6oUaOGef6ll14yLd69e/dGtWrVTAnCt956C6VKlULfvn31aYQpBeAi7vKXASq0ct7f8idwfLf37dPybuDUIaBgeaDeAGDhW8C+NdqWIiISMKz5zQ6YnNiizaD6sccew/XXX2/SUWjEiBH4888/zeA806dPR4ECBdCnTx8MGjQIxYsX16cRphSAi1CuQkDPt4A6/YD4BOc2ST4HrPgK+OVO4PQRL9vJAexaAiwaC2yfr+0oIhJJOCw8R6YM9kiYfF8fTZgwwaf52rRpYyaJHArARRJyAdf+DpRu8F/wTfE5gLpXAUWrAx+1B5LOpOyEeXiztp2ISKTiaJQcFp4jUwYLg28/RsGU6KUAXKT+AKBMY3YvT70tGIQzx5st48s+07YSEYkmDIYVEEsIKACXyPSkx21WNLoRcCQDcW6t3+6Sk4CGg3wPwFveA+QqCJRu6Lzt8ITz9f94JgALKyIiIpFOAbhIwXIpU0888blC5Z33D20CZjzp7ICZkTU/aNtK8D0Z4a8vIhIDFICLcLj4AuXTDsLZAs55iHnfHIAnPfNGaZsGO/gLclDo8PJ+XhKYohPXXUG4iEiWKAAXWfwBUN4qPegNA3POI0EJZMMlsPVl2WKWgnCJQKyjLdHDEeGfpwJwiWyeQVJmgqblnwPN7gRK1XN2unTHUoQ7FwMrv87KUsascA9iw335wpqCcIkQHKKdTpw4gTx58oR6cSRATpw4keLzjTQKwEXOnQI+6QT0egeo3detDngSsPJb4OfbU5YglIgKYCNhGSOWgvCI0nJrS+Q7k8/cP5l4EhuKbMCuAru8zlv6aGnU2VMH64qtw9bCWxHJEhISULhwYezZs8f8P2/evK5BbCQyW75PnDhhPk9+rvx8I5ECcBFip8pxVwIFygEV2/AbDmyZDRzbGdPbJ1KC10hZzqikIDxifPjDh8h9LjfWF12PfGfzoeGuhphUbRL69+2P04mnXfPlPJcTv3z+C+rvro8HuzyIl9u8jEhXunRpc2sH4RL5Chcu7PpcI5ECcBF3R7cDK7+J2W2iQFYyRUF4xPiq7lcY3nW4uV9rby0sfHch7p17L55v/7xrnpd/fRnzys9DhcMVEC3Y4l2mTBmULFkSZ8+eDfXiSBYx7SRSW75tCsBFRCTrFIRHnDUl1mBB2QVosa2F67FL1lyCzhs7o8ktTXDFyisQbRi0RXrgJtEhPtQLICJii/MyiUg2cQDljpbDvrzOodjLHy6Ptye+jQF9BuBkzpPa7CLZSC3gIhJyCrRFsq7gqYIofKow9uTbg1OJp7zOU+lwJXT+tzPyns2Lfiv7ofKhyhjYZyDik+Px+Xef49WWr2Jx2cX6OESymQJwERGRCNZ4R2M8OeNJ9PinBxIcCTiZ4yQ+q/cZnrrgKWwvZA0iZmm1tRVKHC9hqqBsLLwRjW9tjBWlVmDwX4NNML649GIToFNiciKqH6iOtpvbYnal2SFaO5HopABcRMJaZA+1IJK9Lth4ASZ/NhkJyQkm+KY85/Lg+iXX4+J1F6PFzS2wpfAWr50w3Z1IPGFKDj7w5wOux/KczYOOGzuiyMkiCsBFAkwBuEiMC6fKJwq2RXzHtJFPx3+KHMk5XMG3LdGRiGInimHU5FHoe1XfDF/rg8YfmMnd3hf24t0m70ZFGUKRcKMAXCQGhFOQ7Y0CbxH/dVvfDeWPlk/zeQbhl669FKWOlsLuAru1iUXCiAJwkSgR7kG2SCi/G1HT0dfte157X22cizuHHI60f8rZMs48bgbgcyrMwT/F/vH5rWZWnonNhTdndYlFxAsF4CIRREG2iL4vtmM5jyHeEe/TfHRj7xv92n0uv/Jy7W4i2UQBuEgIKJAW0fcqqybUmIA34t5IMwhPRjK2FNqCpaWWhu/uFqgrd08E6HVEgkQBuEg2UZAtkv1i+Xu2s+BOjG0yFrcuvBXxXsbV42NPXvAkHPHqZSESbhSAi2RRLAcAIqGi753T0IuGmnKB1y+93uSDJ8clm7xv3g7vPBwfN/pYO6lIGFIALpmya9cujBkzJtXjt9xyCypWrJjisSlTpmDBggUoUqQI+vbti1KlSkXUVtcPvUh40HcxtbM5zuKGy27AiHYjcPXyq1HsZDFsKrwJn9b/FHvz7w3BpyQivlAALpkOwJ977jkMHz4cefPmdT0eF5ey1sBNN92En376CVdffTVmzpyJRx99FDNmzED9+vXDbsvrx10kPOm7mbF1xdfhqY5PBeHTEJFAUAAuWTJs2DAUL17c63PTp0/H+++/b1q/mzZtCofDgZ49e2LIkCEmCA82/YiLRA59X0UkmikAlyx59913ER8fj5o1a6JXr15ITEx0PTd+/HjUq1fPBN926/gNN9yAK6+8Evv370exYsUCvvX1oy0S+fQ9FpFol3EBUZE0sOV748aN2L17N+699140bNgQO3fudD2/du1aVKtWLcXfVK9e3bSEr1u3zutrnj59GkeOHEkxiUjsBN4KvkUkFigAl0ypUKGCCbDHjh2LUaNGYcWKFUhOTjaBuO348eMoWLBgir8rVKiQ6zlvRowYYeaxJ76PiER/0K3AW0RiiQJwyRSmjxQtWtT1f3bEHDBgQIrc7vz58+Pw4cMp/u7QoUOu57xhp07+jT1t3bpVn5BIFFLQLSKxTDngEjBsAT958qTr/7Vq1cLUqVNTzMPUE+aC16hRw+tr5MqVy0wiEn0C2cqdst5SDPF3G2qcApGwpBZwyZSFCxfi3Llzrv8fPXoUn332GTp37ux67PLLL8eqVaswb94883/mfrMqSqdOnVK0notIdFNrt4hISmoBl0xhacHrr78eLVu2RM6cOTFhwgSUKFHC5IPb2rVrhzvuuMOUHmQwvmbNGhOQsx64iEQ35XSLT/tJLF/NkJgW52CzpEgmMD+bKSbsUMl0E7ZssyShJwbc9kiYvXv39qv8IKugsDMm88HdO3R6Dvhj084soaIgwpnuEKzAW9s7OlJQ3PeXrHym7qFMWr8bIuFEAbiENQXgEikUEAb3BFjbO7oC8Kx+ngrAJdIoB1xEREREJIgUgIuIiIiIBJE6YYqISFSlu8Rieoq37REX5uknIrFMLeAiIiIiIkGkAFxERCTKqPVbJLwpABcREYkiCr5Fwp8CcBERERGRIFIALiIiEiUitfVbg6hJrFEALiIiEgUiNfgWiUUKwEVERCQsWsHVEi6xQgG4iIhIhIum1m8F4RILFICLiIiIiASRRsIUEZEMqVVSRCRw1AIuIiIZisXh3UVEsotawEU8KNDwj1pGRURE/KMWcBERERGRIFIALiIiIiISRArARURERESCSAG4iIiIiEgQqROmiEiYdWRVR+DAbs9A0+cjIlmlAFxEJABUDSa2P+u4EO4X0TQKpkisUAqKiIhIhFLwLRKZ1AIuIiKSRboCIiL+UAAuIhJjFCxGB7V+i0QuBeAiImFGAbKISHRTDriIiEiEUeu3SGRTAC4iIiIiEkQKwEVEREREgkgBuIiIiIhIECkAFxEREREJIgXgIiIiIiJBpDKEIiIS1dIaJj6i+Tr8vIapFwlLCsBFRCTiRWWQLSJRSykoIiIiIiJBpBZwiQqBHDlQoxCKiIQWj8O6qiHRTC3gEhT79+/HqVOntLVFREQk5ikAD0OHDh1CtJg+fTqqVq2KihUrolChQhg0aBDOnDkT6sUSERERCRkF4GHokUcewQMPPIDTp08jku3cuROXXHIJBgwYgMOHD2PVqlWYMmUKHn744YBcnnSfRCQ2xKUxSTpVULxNIhJSCsDDUP/+/fH111+jWbNmWLp0KSLVxx9/jJw5c+Lxxx9Hjhw5TEv40KFDMXbsWLWCi4iISMxSAB6G2rRpg+XLl6NJkyZo3rw5RowYgaSkJESa+fPnm+Vn8G1r164djhw5grVr14Z02URERERCRVVQwlTBggXx4Ycf4rLLLsMtt9xiWsQrV66cYp7bb78d3bp1Q7jau3dvqmUuXry46zlvmHbjnnrDYF1EREQkmqgFPMzFxTmzG8+dO5dqSk5ORjiLj483y+nu7Nmz5jYhIcHr37C1n5017alChQpBWVYRERGRYFELeJg6evQo7rnnHnzyySd49NFHTcfMtILWcFW+fHns2LEjxWO7d+82t+XKlfP6N8OHD8ewYcNStIArCBfxnb8dEtWJWUQk+BSAh6G5c+eajph58uQx95kLHonat2+Pu+++25xMFChQwDw2efJkE3yzQ6Y3uXLlMpNINFPVDhGR2KYUlDD06aefonfv3li0aFHEBt90zTXXoEyZMhg4cCAWL16ML774AqNHjzYt+nZqjYiIiCf9Qki0Uwt4GHr22WdRtGhRRLq8efOagXgeeughXHHFFShSpIgJwNmpVERExJ2CboklCsDDUDQE37ZKlSrhyy+/DPViiIiIiIQNpaCIiIhIyKlDsMQSBeAiIiIiIkGkFBQREREJO2oRl2imAFxERETCgoJuiRUKwEU8qCe+f/SDKSIi4h/lgIuIiIiIBJECcBERERGRIFIKiohIDFLqkIhI6KgFXEQkBqmvg4hI6CgAFxGJQWoBFxEJHaWgiIiISERfmdEJpUQatYCLiIiIiASRAnARkSBTa52ISGxTCoqISAzydqlfJwYSSuoYLLFELeAiIiIiIkGkAFxEREREJIgUgItIpillQURExH8KwEVERCTkdEIvsUQBuIiIiIhIEKkKioiIBKQKhVowRUR8oxZwERERCQs6iZNYoQBcRGK6xdeeRCQ8KAiXWKAUFBEJmrgw+TFXwC0S3vi91fdUoplawEVEREREgkgt4CJZvPypVprwFudjqxof16VvEREJBgXgIn5QsB3Z9PmJiEg4UAAuIhKCVvD03kcnCiIi0U054CIiIiIiQaQAXERERMKO+mRINFMALiLiRukfIiKS3ZQDLiIiEd8qqhMn/7adtpdIaKkFXETEg4ITiUbar0XCh1rARUREophyqUXCj1rARUREYkjck6FeAhFRAC4iIiIiEkQKwEVEREREgkg54JIpGzduxF133ZXq8RdffBHnn3++6/8nT57E66+/jgULFqBIkSK44YYb0KpVK211kXSoWoX/lOcsIpFEAbhkyuHDh/Hzzz/j888/R8GCBV2PlylTxnU/OTkZF154IY4cOYK7774bq1atQvv27TFhwgRcdNFF2vISthTMiYhIdlIALlnCALt48eJen/vuu+8wZ84cbN68GeXLlzePHThwAPfdd58CcMn2QFkl10REJFwpB1yyZMiQIbjqqqvwxBNPYOfOnSmemzx5Mpo3b+4Kvunyyy/HypUrsW3bNm35KKAgV0RExH8KwCXTmjVrhjZt2qB79+7466+/UKtWLSxfvjxFnrh78E0VKlRwPefN6dOnTcqK+ySSGUojERGRcKUUFDHWrl2Le++9N92t0adPHwwaNMjcr1GjBubOnYuEhATz/2uvvRYdOnQwrzFlyhTz2JkzZ5A3b94Ur2H/n895M2LECDz11FP6VGIkKM7OFnS1zot4+V6oBrhIWFAALkapUqVw2223pbs1qlat6rrvGVjHxcWhV69eeOGFF1yPFS5c2OR8u9u/f7/rOW+GDx+OYcOGuf7PFnC71TwSWlUV9IWHSP8c4iJ4uXXlQUQkYwrAxRUQM4DOioMHDyIxMdH1/wYNGuDTTz9NMc+SJUuQM2dOk67iTa5cucwUSpEa/IiIiEhkUA64ZMr48eOxe/fuFCksY8eONWkqtgEDBmDHjh348ssvzf+PHz+OMWPGoG/fvsiXL5+2fAyK85hEJIjfP6WfiIQNtYBLprCVmjW9CxQoYFq0Fy9ejH79+mHkyJGueTggDwPuG2+8Ea+++iq2bNmCsmXLYvTo0drqkq0cWQjwlUIhIiLZLc7hcOj3RjLl7NmzWLFihWnZZqfMkiVLep1v7969WLp0qRkJs3HjxiZf3FfMAS9UqJAZ+Md9wB/48Rr+Ususfxwh3LbZUQc8HA6IkbwPhsP2k8hpAXc8GZjvgnsok+bvhkgYUQu4ZBrzvRs1apThfCVKlECXLl20pUVEREQUgIuIiAROXJheHQjH1m+RWKZOmCISlZQKIcGkjsUi4g8F4CIiUZJ/LSIikUE54CIiIhF0cqerOyKRTwG4iIjErFi44qH8b5HwoxQUEREREZEgUgAuIlErs5fqY6FVVEREQkcBuIiIiIhIECkHXEQkBNTKLkHZz1T/WyQsqQVcRERERCSIFICLSFRTyTYREQk3CsBFRLxQiohEukhIP4mEZRTJDsoBF8lCi2lcBLXqKqAUEREJDwrARUQk5sRFybIrxUokMikFRSQL9OMXvZ+TPluR0NP3UKKVAnARERERkSBSCoqIiAe1ukWOSE4lyfb1T6uDozo+ioScWsBFRERERIJILeAiEjOt2r60lqr1WyQ0Yv1qhsQWtYCLiIiIiASRAnCRCKSWouyh1m8REQkGBeAiIiIiIkGkAFxERK3fIiISRArARSRmKMUk+ugzFZFIpABcRGKegjgREQkmlSEUCXDwpg6SIiK+i7MHBtIAQRJDFICLhGFralwI62DHGrV+i4hIsCkAFwlDCgqzd9vqREREREJJAbiIxCyd6GjbiYiEgjphikhMUvAtIiKhogBcRERERCSIlIIiIjFHrd/aFrG8/6oPhEjoKQAX8YN+uEQiPyCN5e+xq+SfiISUAnARkRgWF4NXBFQJJzzF2n4osU054CIiIiIiQaQAXNJ0/PhxTJ48GYsXL05znn379uH333/HokWL4HA4Mj2PiIiISKxQAC6pHDlyBEOGDEH16tXRv39/vPDCC1630ttvv42KFSvi4YcfRs+ePdGsWTPs3bvX73lEYpFORUVSUn66xBIF4JLK4cOHUbVqVaxatQqtW7f2uoX43ODBg/H+++/jr7/+wvr163H27FkMHTrUr3lERCQ4FOCKhA8F4JJKhQoVTJBcuHDhNLfO559/jrJly+Lqq682/8+XL58Jtr/77juTuuLrPCIiIiKxRgG4ZMrSpUvRoEGDFI81bNgQZ86cwZo1a3yex9Pp06dNCoz7JCIiIhJNVIYwBhw6dAizZ89Odx6mnNSuXduv1+TfuCtWrJjrOV/n8TRixAg89dRTPi+HiIiISKRRAB4Ddu/ebTpDpqdPnz5+BeA5c+bEiRMnUjxm/5/P+TqPp+HDh2PYsGGu/7MFnCkxIiIiItFCAXgMqFmzJiZOnBjQ16xSpYrpZOlu69atrud8ncdTrly5zCQiqalyimSWOmCKhBflgEumXHTRRZg/fz62bdvmemzcuHGoU6cOypcv7/M8IrEeUPsziWg/EIkOagEXryZNmoSkpCTs2bPHpIGwBT137tzo0qWLeb5v376mRCFre999991YvXo1Pv74Y0yYMMH1Gr7MIyIS6YFsXAjeU0QiW5xDQxNKGjnhrFbirkiRIvj0009T5HO//vrrWLBggXlu0KBBaNWqVYq/8WWe9DD4L1SokKlNXrBgQbc919efvMAKzbuGN0cIt58CGgkXcWG+v0ZKCoojs8vpNspymr8bImFEAbiENQXg4U8BuEh4i5TgmxSAS6xQDriIiIiISBApABcRERERCSIF4CIiIiIiQaQqKCLiF0eAX0sdW0VEJNYoABfJZPCpwNF/qloiElyR1AFTJJYoABfJJAWTIiIikhnKARcRERERCSK1gIuIiEjAtSzQEleXvNrcT3Yk43DSYaw6sQoT9k/AyeSTSIxLRKfCndAkfxMUzFEQO07vwIEqE1B040Z9GhL1FICLiIhIwOVNyIsSiSVwz7/3IA5xKJurLAaVHoRquavh+a3Pm/unkk9h4oGJOHLuCNoVaodpzzyDTk88gaL//qtPRKKaAnARERHJNrvP7ja3u87uQv69+XFn2TtRKKEQ3tv5HpKQ5Jpv055NGHikDjZecIECcIl6ygEXERGJQuFYAeVE0glzmzs+d4rg2yUuDnCoi7tEPwXgIhJSjixMIhI5csXlwoVFLsSeM3uw5+yeVM83L9AchypXRoW5c0OyfCLBpBQUERER8UuxHMXQuUhnVMldBeeSz+HvY39jzpE5OOM4k2K+hLgEjK462twvmqMotp3ehle2vwKHxyl01dxVcUeZO1B7/HiUXL1an4ZEPQXgIiIi4rMLCl2AW8rcYu7HI94E080KNMOVJa7Es1uexfYz213zJjmS8PyW5808h88dxmnH6VSvxyD+4YoPY9qhabju66/1SUhMUAqKiIiI+KR2ntq4rcxtJvBm63ZcXBzi4+LNbaEchfBoxUdNeUHPTphMOfEWfFfOVRmPVHgEfxz+A5/s+USfgsQMBeAiIiJRJrs6YPYq1gvJSDYBtycG5EUTi6JVwVY+vVbFXBVNwD7ryCx8vPvjbFhakfClFBQRERHxSaP8jUygnRamnDTK18i0aGdkYMmBKJCjABrnb2wm+mU0UGztWrR48019IhLVFICLiIhIhjiYDlNPMponR5wztJh7ZC5WHl+Z5rxv7XwLOeNypnjsn9eAHGdSduQUiUYKwEVERCRD7Ei5+fRmkzrCvO+0/HvKOYolh5vnlJaD5w6meqyAc8wekainHHAREZEokp0D8Ew6MCnN4DvZwezwZEw/ND37FkAkSigAFxEREZ/MPDwTsw7PcgXc7rnfbCEfs30MDicd1tYUyYBSUERERMQnDLLf2PEGlh5biouKXoTKuSvjnOMc/j76N34+8LMr/URE0qcAXERERPwKwlk6kJOIZI5SUEREREREgkgt4CIiYSb1ECdOjiAvh0Se7OyAKSKBowBcREREQuNJ304+M6KTU4k0SkEREREREQkiBeAiIiIiIkGkAFxEREREJIgUgIuIiEQBdcAUiRwKwEVEREREgkgBuIiIiIhIECkAFxEREREJIgXgIiIiIiJBpABcREQkwqkDpkhk0UiYEpE8R0vTKGgSKzI7UmAg6fsmIpI1agEXr1auXIm77roLlStXxp133pnq+VWrVqF8+fKppgULFqSYb8uWLejfvz+qV6+O5s2b491339UWFxERkZimFnBJZc2aNejXrx9uueUWE4Dv378/1TxnzpzB9u3bsWzZMhQpUsT1eMmSJV33T5w4gQsuuAD16tXDN998Y4L2m266CcnJybjtttu05UUisPVbAvvZ6WqCSGxSAC6psLWaLeD022+/pbuFypQpg+LFi3t97rPPPsPOnTuxdOlSFChQAI0aNcLy5cvx7LPP4tZbb0VcXODCCaWkiEg4ivPjeQXjIrFDKSiSSkJCgs9bpVOnTqhVqxYuvfRSzJ49O8VzM2fORMuWLU3wbbvoootMy/m///6rLS9hLy6Ik0SXzHyumd0P1AFTJPIoAJdMYev1DTfcgLfeegtff/21CcLbt2+PyZMnu+bZtm0bSpcuneLvSpUqZW4ZhHtz+vRpHDlyJMUkgaPgz79tE0wKxqNHVvYdnZCJxAaloMSAxYsX4+KLL053HuZkP/rooz6/Zv369fHBBx+4/t+gQQNs2LABTz75pGnlJuZ658iRchdLTEw0t0lJSV5fd8SIEXjqqacQiT+ejiC/ry5Xi4SfuAC+jr7jItFLAXgMqFOnDubNm5fuPO5pIr7wlr/NdJMpU6a4/l+iRAns27cvxTz2//mcN8OHD8ewYcNc/2cLeIUKFfxaNhGRUFAqkYj4SgF4DMiZM6cpEZjd2AJetGhR1/9ZdnDkyJE4d+6cqyV81qxZKFiwIGrWrOn1NXLlymWmUGKrk35IfefLtlJLnkS77DhmqBVcJHopB1wy5dVXX8WMGTNMcO1wOPD999/j/fffN2UGbdddd50pV/j000+blBN2vBw9ejRuvvlmc1IggZPVjn7qPCgSmdQBUyQyqQVcvKpWrRpOnTplaoAz3YQt6KzxvWjRIvN8586d8eCDD+KSSy4xwTVrgTN/e+jQoSlKFP74448mKH/55ZdNsD5gwAA899xzUbnV1WqetW2jVnKJVNn53c9UK/iT1iQiYSvOweZLEQ+sUuK5a7A8IYNqd2zh5pQ/f/50tyFzvzlP7ty5/drWzAEvVKgQDh8+bFJXXDtuBjXEg90hMhQcEba8GQn1gSgatmGsfFbB2A8cYbbvOHxtAfcWeIdzMB6gZXP/vUrrd0MknKgFXLwqV66cT1uGqSS+pJOkNViPiEiklw0Me09GSDAuEkOUAy4iIjEno74RERFYZ4YCcJGwoABcRERiRjQNdONT+ok3CsJFQk4pKBKRsrvrQqTluEba8oYjbcPY4Iii/SbVez+ByBOJyywSAGoBFxEREREJIgXgIiIiIiJBpABcRERERCSIlAMuEZHrzbquIiIiGbF/LzTMiYQzBeAS1o4ePWpuK1SoEOpFERGRCPv94IA8IuFII2FKWEtOTsaOHTtQoECBDEe/DGTrCQP+rVu3RtwoapG87JG+/JG87JG+/Fp2bXt3bPlm8F22bFnExyvTVsKTWsAlrPHgWb58+ZC8N4OQSAtEomHZI335I3nZI335teza9ja1fEu406mhiIiIiEgQKQAXEREREQkiBeAiHnLlyoUnnnjC3EaaSF72SF/+SF72SF9+Lbu2vUikUSdMEREREZEgUgu4iIiIiEgQKQAXEREREQkiBeAiIiIiIkGkOuAS006ePIlff/0V//zzD8qVK4devXp5rYG8dOlSTJ06FTly5DDzVK1aNVPzBNqZM2cwfvx4rFmzBtdffz0qV66c4vmJEydi4cKFKR4rWbIk7rjjjhSPHT582LzO7t27Ua9ePfTo0SMoAx9xm02YMAG1atXC5Zdf7nWeadOmYcGCBShSpAguu+wylChRIlPzZKcNGzbgk08+SfX44MGDUbx48RQDhEyaNAnLli0zn0OfPn1QuHBhhFJSUhJ++uknsw9xIB4uU968eRFu5syZgylTpqR4jN+1Rx99NMVjp0+fxvfff4+NGzea72Dv3r2RM2fOIC8tcPbsWfz4449YsWIF+vfvjxo1aqSa59ixY+Z7x8HGateujYsvvjjVwDG+zJMdVq5caZafxxQuv7sDBw7gtddeS/U3AwcORLVq1VI8NmvWLPPZsS43P4vSpUtn+7KLRAK1gEvMmjFjBurUqWMCp7179+Ltt982P9iLFy9OMd8bb7yBli1bmh8k/pDwb/jD5O88gfb555/jvPPOw8cff4ynnnoKmzZtSjUPA/Bvvvkm3dfZsmWLCbrfffddbN++HbfccosJwhgsZhcG+q1bt8Y111yDDz74AOPGjfM636233oorr7zSLOPXX39tAhAGNP7OE4wAnJ9Berg9+/Xrh5tvvtls5/feew9169b1+rkFC0/gunbtivvuuw+7du3Cyy+/jMaNG2Pfvn0IN/xe8Tua0YiYrVq1wjPPPGPW5/HHH0e7du1w/PhxBBMDZh5LPvzwQ7NfrFu3LtU8XL6GDRvi9ddfN8H10KFDzYnvuXPn/Jon0A4dOoQOHTrgiiuuwEcffYQvvvgi1TwMwLlenDc99957Ly655BKzj//www/mRNuzQUAkZjlEYtSKFSscu3fvTvFY9+7dHR06dHD9f9euXY7cuXM73nnnHddj999/v6NUqVKOM2fO+DxPdpg7d65Z/q1btzJSdkyfPj3VPLfeequjb9++6b7OVVdd5WjevLnj7Nmz5v9r1651JCQkOL755ptsW/a9e/c6Zs+ebe737NnTceWVV6aaZ8aMGWa9/vrrL/P/5ORkR7du3RydOnXya55g+O2338xypGfcuHFmu3L7Erc3t3u/fv0coTJmzBhHwYIFHTt27DD/P378uKNatWqOIUOGOMLNyJEjHQ0aNEh3nkcffdRRvnx5x6FDh8z/9+3b5yhRooTj+eefdwTT/PnzzTY9ePCg2S8mTJiQap6bbrrJUa9ePcepU6fM/zdv3myOIx988IFf8wQat519LOH3kt9PT//8849Zr40bN6b5OgsXLjTz/P77767H+vTpY/Z5EXE41AIuMYut1EwDcNeiRQtz6dr2888/m5bLAQMGuB676aabTAvu7NmzfZ4nO7DF3XP5vWHL8Isvvoh33nknVcsw0w/YUs+WaF7OJ14qb9++fZqt0oHAtIw2bdqkO893331nPqPmzZub/zMlZtCgQZg+fbppgfN1nmDilZBXXnnFpDUlJyenWp+2bdu6UhG4va+77jqz/ZmuEApcpu7du6NMmTLm/0w9ufrqq7P1s88Ktrhy+44ZMwbz5s3zuj59+/Z1DUNerFgxk/YQ7PVp1qyZa5um10rO1A677nrFihXN1Qj3ZfVlnkDjtrvgggt8mvezzz7DyJEjzT7Mqymen0WlSpXQqVMn12M33ngj5s+fj61btwZ8uUUijQJwEQsv6/KHjZewbWvXrjU/pPny5XM9xhxH5mDyOV/nCSUG2byUzTzpJk2apMiZZXDOPPjq1aun+Bv+P9TLzvf3tlw82bEv6fsyT7Awt5U57evXrzf5+EyxYUqELa1lZc7y5s2bg7qsGS0T0x2YexxuGIgyneHvv/9G586dTc6xnSplf+bhuC97YsobTxDTW1Zf5gklBurc3tu2bTOpJg0aNDDHk4z2Lfs5kVinTpgSVQH0s88+m+48zJm+9tprvT7H/Erm5rJDmo1BiN2aZmNgnT9/fleA4ss8vmCO5JIlS9KdZ8iQIShatKjPr3n33XebvEsbOzwyJ7Nbt24mN9ZePs/lZ8dAf5adP8LMaU4PA9ILL7zQ59fk+3u2ItodFt23fUbzZAYDC2+5r+66dOliWrTp/PPPN0GF3YGXOcj169c3Ocivvvqqa3m8beesLmtWZLRM3IfDxaWXXop77rkHCQkJrn2bVz74OfCE59SpU+Zk09v6MAecAXowOhb7wpfvXaC+m9l1BWv16tWu794LL7xgrsjx+MTjWLju7yLhRC3gIgAefvhhfPrpp/jll19QpUoV1zZhAMIKIe6YWuAenPgyT6i4B9/ECgply5Y1HVDJXj7P5eel/lAvu7ftanf6Sm/be84TDNym7tVzmPrAqi5MhbGFy7K6S2+Z3K/ohAO2ntrBN7HFlUGfvY1z585tnve2PlyXcAm+ff3ehfN3k4G0+4kvtz3TqezjSrju7yLhRC3gEjWYU/vkk0/6/XePPfaYySmdPHmy+UF3V7NmTezcudO0oNkBCVMMGGDzOV/n8QVzVTllN7YEnjhxwtxn2bk8efKYMoxsFbfx//4se/ny5TO17dPD92fajDsuFwMp+1K2L/NkBvO0s7o+7tvZXlYum+eyMq2CubKhkNYy8YSiQIECCHfu25ifOT83b+vjz74cDCyTyStZ6S2rL/OE42dhX2ngMn755Zcp5rHXJRyXXyTY1AIuMe2JJ57A6NGjTW1mpkh46tmzp/kxYck/G1MtSpUq5epE6Ms8ocDL8Z4lFZmCwpOFjh07uk5aeGmfrf92aTOmX/zxxx+mM1so8f1Z1pGdtog/7CxZyA5ibGH2dZ5gYGk197KN+/fvN53Q7O1sLys75dq56dzeLCHJlKDExESEApeJ+z77CBADKAZNof7svWGdd3fMt//rr79SbWNudzv3np8DUyLCcX1Y6pNpTuwDQMyf/u2331Isqy/zhAJT5dw7DjP9h+Vc+b2zrzRw2Zmv736C/P7775sOqjzxF4l1cSwFE+qFEAkF9uBn9Q9WgbCraNj528zdda9swTrJrA7BAIU/6Kw3zcDVn3my40eQ78NgY9SoUeYSMAfN4I8gJwZ4rGbCy8WsFMIfb1Yr4OAwL730kut1+DhPFPij2LRpU1N5gT+SvM3Oy/bM1+cyMsDgQClM2eClaW5H9xrfXA7Wz+ZAMVznmTNnmvrZ/syT3bguXAaexPGQyvv8LNifwB4UiI+ztvLcuXNNcLJo0SLT+ZJBuecASsHCyhW88sF9gINH8cSLnXK5TO4DCIUD1nrniQI7Eh88eNDUt2dKFU8e7RMYfhdYw5rrxdxwVqNhahDTVIKZUrNq1SqzfAxMmR/N4wJb5937QXBd+L1jKzcf53eTLcOsqmRXJPJlnuzAqkk8jrFTOrclK7HwO8pUPWJ9c9aM5zLxChqXh58B93f3K0/snMkTYq4/q0uxlvvvv/9ujjMisU4BuMQsBhue6QveAnC7tY0tT/Yol56jvfk6T3YE4J7sANzGdWRLOEeJ5A+mZ144MVeTLYf2SJh2q352sgNwd54BOPEH2x7lkoGrt1EufZknu7Flm9uaAQtPeFh+zXMb2iNhcl9hCUm2ZIbDSJgM7NiJlKlEXKZwHAmTeKWDQRyDPgZxDMY9sbWYJ0D2SJgcGTXYI2HaAXhGHZHZT4TfO3uUS14N8TYSZkbzZFcA7s49ALc7XnNkUh47eHLBEzlvJwU8zvKkkydC/Cw0EqaIkwJwEREREZEgUg64iIiIiEgQKQAXEREREQkiBeAiIiIiIkGkAFxEREREJIgUgIuIiIiIBJECcBERERGRIFIALiIiIiISRArARUQiBAc94eiK3gafOXToUEiWSURE/KcAXEQkQtxzzz1m9EcG3LazZ8+a4cpvueWWkC6biIj4TgG4iEiEePXVV83Q5I899pjrsSeeeAK7du3CO++8E9JlExER32koehGRCDJt2jR069YNM2fORHJyMjp27IjJkyejc+fOoV40ERHxkQJwEZEIc9ddd5mg+9y5c+jTpw9efvnlUC+SiIj4QQG4iEiEOXHiBCpVqoTcuXNj/fr1yJUrV6gXSURE/KAccBGRCDNx4kQcOXIEO3fuxB9//BHqxRERET+pBVxEJIJs374d9erVwyOPPII9e/bgyy+/xPLly1GoUKFQL5qIiPhIAbiISIRwOBzo2rWruZ06dSrOnDljyhI2bdoUH330UagXT0REfJTD1xlFRCS0Ro0ahUWLFmHZsmWIi4szud+ffPIJWrZsaTpjXnLJJfqIREQigFrARUQiwD///IN27drhtddeQ79+/VI898wzz+Dzzz/H/PnzUbBgwZAto4iI+EYBuIiIiIhIEKkKioiIiIhIECkAFxEREREJIgXgIiIiIiJBpABcRERERCSIFICLiIiIiASRAnARERERkSBSAC4iIiIiEkQKwEVEREREgkgBuIiIiIhIECkAFxEREREJIgXgIiIiIiJBpABcRERERCSIFICLiIiIiASRAnARERERkSBSAC4iIiIiEkQKwEVEREREgkgBuIiIiIhItATgv/76Ky666CLs3r07O99GItD8+fPNvrFy5UrXY7/88ot5bN++fSnmPXnyJF544QX069fPPM+/pS1btuDee+/FpZdeah5PTk4O+npEg9tuuw1PPPEEws19992HBx54ALEqFtb/f//7H6677jqf1nvNmjUYMmQILr74Ylx++eWux3/++WfceOON6N69u3k9iSyMD3j8ZryQHfNHCn/Xa8OGDWb+mTNnZvuyxaLk5GSzfT/55JNs2+Y5/Jl59uzZePbZZ13/j4uLQ+HChXHeeefhhhtuQLVq1VLMv3XrVrMzMYCyTZgwAW+88QY+++wzFC9e3O/39DRw4EAzhaOePXsiKSnJta3y5cuH2rVrmx8cz23lqx9++AFvv/02vvzySxQpUiTASxy899+zZ4/ZNx599FHXYwyo+dipU6dSzNu/f3+sWLHC7AeFChVClSpVcPz4cbRo0cJM/PHNmTOn2cbhioEDP/8RI0akO5/9/fDF+++/jzvvvBM1a9Y0Jyie+DoTJ07Eq6++auZJ7ztWuXJlhJt58+YhRw6/DlFRJZzX39f9OSNLliwx65nRejM4adasGXr37o1bb70VefLkMY//+OOPuOyyy8z+f8UVV6BMmTIIV9u2bcNNN91kGg26du2a4fzLli0zJyL8jvOkw9N3332HsWPH4uWXX0adOnXMMbFv375pvl7dunXx0ksvIdwwPuBx3/2kKr1t5W3+aODvdjhy5IiZ//rrr8/S+7Lha8qUKSZe42869xP+5pYsWdI1j/u+NWzYMFx44YUpXmPu3Ll46qmnTENOq1atUv0N8fe5QIECqFevnlnmChUqIFC4vAcOHEj1eOvWrfH4449nOgDn9m3atGnAt7nNr6P7rl27zJs/9NBD6NChg3mMrZUff/yxOQAyKONB0MYzhUmTJqFUqVKuxzZv3uw1yPLnPd1lNpANBi538+bNXTvA9u3b8dprr2HkyJEmMOrSpYvfr7lp0ybzuqdPn86GJQ7t+/OEhftLiRIlXI/xS8ygnz8yV155pevxn376yewbzz//PM4//3yEuzlz5piT1Yw0aNAAd999t+v/Z8+exSWXXGL2fX4H3PF7xQPMgw8+aA4S7t89XiXg6wwaNCjd4Duc8TMP55OqWObr/hyoz52B9rFjx8xz7oHB559/joYNG+L+++9HuOPy89h51VVX+TQ/AwrO36tXL6/Pb9y4MUUjBo8V/H+3bt1SHENsoWiw8QWPYzzuM/DzZVt5mz8a+LsdsurMmTPmN5ff5TvuuMO8x9GjR03DDk/8+BvLGM5937IbypYvX46EhIQUJ8h8nldTbZ77o8PhMPHfK6+8ghdffBHTpk0zJ9WBwNfiSajnccA99gxHmWpeYZBgfzDE1AC2gvMMyD0IKF++vJkCwfM9IwV/LNyXm8EUW3AZTC1cuDCkyxZueEbseVbMFgAqWrRoisd5tu7t8UhXsWJFM9nsE9XSpUt73f95uZ4Hyttvvx1t27Y1LYA8aLNFoGrVqhg1ahQiFa9uSOzx9rmn9X3n49F2DMgq/uZG0m8lr2b4s7z+zh8pgr1eH3zwAaZOnYpPP/00RRYBsxmee+457N+/P9XfsDFn9erVeO+998yVqMzsjwzIq1evjsceewyTJ08O0NrA/PZF2n4RkOubvPxfrlw508Lrjmc/DADYQs4zEX5ob775pnnummuuQa5cucx95u2xFSOr7Ety33zzDf766y/TOsIWerY284yOZ2Q883r33XdNDg/PNO3WaV6C4d/v3LnTtMAyUGZusY2vw52UlwPr16+PMWPGmJxEtj4y8PEVX7tWrVpYunSp10s4xNafvHnzmjM6tmDa6QHvvPOOmYgBFrc7cZ24TMSUl3Hjxpltz2Xm58JtzZbS9ATq/dNqyWHLPy83cz/g2XZal8I4n52exNau77//3jzH+1999ZVrXp5Juy8Hv3h2q48v24D7CA9A/MyZgvHFF1/g0KFDpqWN9u7da1oCFi1aZPYb7p8Mct1b33i2z/V5+OGHzf7w559/mlZBpsS0adPGNR9b7v/55x8kJia6DhDcD3jgy6r4+Hjz/eIJKi9VMh928ODBppWCnyk/R1/xagO3/4IFC1CsWDFzIPa23/iybXgAnzVrlrnPlhIGSe3atTPpV/b33n0b8oSUxwYuM79P/Cx5csH14/7l7zZ3T2fg58xlbty4MYYOHWrehz8i3G7p8XcdgrFMvm5/fuc4D48zbOniVSLuHxk1iPiyzpndn3lVhsvE9DN7vb3x/NzZSsdtY993bx1ftWpViuVwPxb58x32tv8Rf0d4ZZetzbx8zjzzq6++2iyfnRPK49nw4cPNcYbfH373uL3vuece19W8v//+2/Wa7scybkt+z8KB+7pwubkv79ixw6QM8LPyljLK4yUbALitGQAx5cAzPWHx4sVm3+Axm63wTFG49tprzedmt55y/+L2YnCW0bbynN+f5fH18/J12b3hcnIfuuuuu1yPcX0YLzAdkL//9tVk7n+MITp27Oj3dnC3fv36DNfFE9M6qX379ike5/eLV1VOnDiR6m/4PWNj0JNPPmniIaah+YsNkDwOLVmyBOGCMQOPvYwZ+N1mGpB7/OcNjz2+fEeyvRMmd1Ie6D1zlDxzwHkg545G/HHizsUpULlA9iU5Hkj5A8cvXsGCBV0Hfx5cGYhxR+fGtVsXmdPEHYs/MNypeIDmB+DeOYjz8rUZuPMLyNQXpgV4yzvKCAM9e7lsbK20t4fd0YiBIT/YdevWmXn4fnYazs033+ya3/5R5TJynfml5utxOfkF4d9klFcciPf3htua6RHsyMCDCgM65rPxh82TZw4414Wfl33ffj9Onsth73u+bgMeiPler7/+ulk2fv758+c3zzEAZa4+g3++LvcFfu78Ybe3BXH7cF4uI4McXsLjgf+CCy5IsX5sKeCPPPdze/m5/wcK15O5nTyB4dUoHkiYL9+kSRO/DkD21Su+BnPd+H3lyZA7X7cNAyV7Xbn+3I94gsfL6bwU6bkN+d5Ma+KJL1vw7UDV7nDr7zanr7/+2gTA/I7yR4snI1xe/r0vnWj8XYdgLJMv2//w4cOmFZknmZ07dzbLw4CBKW/8jmV1nTOzP/OEmN99bhfuX7lz50afPn1MYOzJ83PnD5t9qZr33Y8DnsthH4v8/Q572/+efvpps8z8/RowYIA5jjGw4XLbHb7tnNDp06ebE18G+dxWPKbwt87uA1SpUiXX74n7sczbCVqo2OvCVkmuC7c5Tzi4H/GEybOBjevD7cpAj7+b/Ex5HOXx3caUCm43BnM8ceFxmJ8tt6Fn7rN9lSOjbeU5vz/L4+vn5euye8P9iP2kbPz7t956y7wvGwNt3M58jNkDmdkONgb2Ga2LN2yFthsfvUmr8YYptPxdz2x/Ah5HeIwqVKhQquf4+fEzy2jyVjSA32P+PfuJ8DPnCYyvy8NjMRtXefLCPiVsyHJv+PHEeNeX74gvb+6zb7/9lkdgR4MGDRzdunUzU9OmTR2JiYmOwYMHO06cOJFi/rFjx5r5N27c6Hrs9ddfN49t3bo10+/pPi1dutQ178iRI8281157reux06dPm9sOHTo4cubM6fjss89SPDdjxgzzN08//XSK93377bfN49988435P5eX/y9VqpTj4MGDqV7fm4SEBMell16a4rHPP//cvM6tt96a4bqfO3fOcf755zsGDhzoemzUqFHm73fu3Jlq/gcffNCRI0cOx+LFi1M8PmLECPMZ+brNM/v+3gwaNMiRO3dux7Zt21yPnTp1ylGnTh3zOrNmzXI9/tZbb6XaN5YvX24e+/DDD1O8blrL4es24P/591w+98/yzJkzjsqVK5v9muvvvi3q16/v6NKli+sxrgP3qenTp7seO3v2rKNcuXKOyy67LMX7N2nSxNG5c2eHv06ePGmW88orr8xwXn4fOG/Hjh0dSUlJPr+HvR6//vprisf79OnjKFCggGt/92fbeDN//nyzfJMnT0713u6P2d+pNm3amO+tt2XNaJsfO3bMUbhwYUevXr1S/P3cuXPN31eqVMnn7ePrOgR6mTzX39ft//3335tlXLVqVap9yfMYndl19md/5noXKVLE0aNHjxSPz5w506f1tr/XXAZuV3feliMz32HP/W/atGnm/V566aUUr/3333874uLiHB999JH5P48znK927drmuGb77bffzOPfffed67HVq1d7PZalhfsT5+dvpjf27519DOX3lP8vX76819/Kjz/+ON33s9elWrVqKfaT3bt3O/Lnz++46qqrXI+NGzfOzPvmm2+meI1nn33WPM7tR3379nU0btw41Xvt37/fdZ/xAf+G8YIv28rb/L4ujz+fly/L7s2YMWPMa9m/eb/88osjPj7ecckllzi6du2a4vhavXr1TG8Hf9bFm+PHjzsaNWpk5uVycX+aMmWK12OEvW8NHTrU/J+/R9wn7N9f+5jDW8+/ufHGG1O81ujRo83jjzzySKr3KVSokHkuo6lnz54p/o7b4N5773V8+eWXjnfffdccE/g9ff755x0ZYYzH12Rs5o4xredy+vMd8UWmUlAY8dstkDyT+f33382lPraW3HLLLZl5Sb/e05231lf3Hqp2mgSxhdu9MwOfY8sM8WzGHVMveBb17bffpshrZ8u5e+cj99f3hq3u9uVRnh2x7B7PtLydPfKSDC8z8fIuz5p5ZsY8LHZ48MVHH31kWt0803nYCsxLbjyrSy9vK6vv74l/P378eNOazst9NvtKA5cp0PzdBp77CnPieGmQl9jcO5nwPlvB+BrsqMLL0XYrBd/PxuoNbKHgZe9gYouc3TGW9/3tvMjPx/PSMS/X8/NjqwxbCNiC6Ou2sdOAuD3ZWZYtnXarIfcn90vHvKTp/v+MvlO+bHO2cPFKE6+QuGvZsqXJY2RLWEb8WYdgLJM/25949eKRRx5xtWSxRTCQ6+wrrvfBgwdTHXt46ZutcHaLc6D4u5287X+8isSrBjxWu2MrF1MX2THc/Qopf1fc05L4W8XvILdZRi2mgcbUQW+dMHmlzBds7bWrzBCvCDOVg618586dM/s29xHuT0xrcsffUaYv8HeTrbDcxkyP4D5gX/2mQOft+7o8/nxemV12+2osW5aZKvLbb7+ZlnQeQ3mliFdpuW+x4yBTKLMqs/sejwu8Qsc0TF49Zcu5ndLF30UW1vC8Um9j8QNeXeJ3zL21P71y1HYnzH///dekfD355JOp5uWyeLsq5sk9jcyOs9xb1HmM5X7MtED+rqV3NZjvyb/17OjKz4opJpn9jgStEyZ3LB6kebDijmpf2ggkfzph2pd0PPFH0v2ATHZul2cPce6E7Axn5xpn9NoZpXbwh42XPlm2i4EuPyR3/LFkkMhtycugzCXisvIyKHMmM8IfMV4W4hfR/XIxb+37dodGb7L6/t7wR44BB3O+PPm7HX2RmW3guRw84BL7CfCg7f63PIHifs6cL7uyiLd147YLdu17HixnzJhhggIGD+x7wdQqX6X3GdnfAV+3TY0aNcw+xFxopgzwAMj0Hp4g8MfIM+Dyd1/wZZvbqRbe5mWfBpZ4Sw/Xy591CMYy+br9mXbCwIN9a1hxgAF+p06dzL7h3sE3q+vsq/TWm599RuvtL3+/w972P74Gf0TtknD2a3Di37oHPN7Wjb8fDOCychzw9STac76sdsJM63NiigR/C8qWLWuOCUz98cyFZiDDFBD7mMFUAX6+3P+Yk82TLi6bex+iQPB1efz5vDK77Dz+8XvmHoAzLYKBOb9L7GPBwJa/jb6Uo8xIVvY9zsvA0w4+eaLM345nnnnGpIvZDZTe9gfm0jOF09vJnrcTQsY8zDtnDMTtmuxl3A4euzLDWzoL08XYoMg+AekF4Dw+MTa0+3X48rvky3fEFwErMsvWH7aCs/UhOwJwf6TVMcDb4zxrtlt7PQ9kDCA9z7T87XTgXgWF+ZX8EjM/kz+QbK21sUcwdz52+HHnaw1LfpG4/Gyd8WzNJ/6gprdDZfX9veGPFJfJ2w93oFu9MrsNPD9P+8DKlgMeOLxxb8331hmHyxDMQYFYTYc/Fmy1+PDDD00LC1s+ud/5WqIxvc/IPtP3dduwrBVbVLh/u7cSuufeZuU75cs2twOkzO57/q5DMJbJn32TP4xsYWIrG3/wmYPKViterUyrQ7a/6+wru+U9WMcBf7/D3vY/vgaDGG/HEfJsGcyO44DdJyWtKyO8+kx2S36g+HIs4GfKTttp/b09H08smYvLK79sIOD+yKvk7DDIVkvPE5nM8nV5/Pm8srLs7G/BwI8nfAw62f+IJwJsSGRAzv2HDVzuLeuZFch9jw2RbHTjuvIqD39L0rpyxisL/L1hJ9L0OhK7nxCyYYxXA3ji8fDDD6fKBOAJry/HBMZQdtGItNidUO3vSVq4ft5OVtJbDl++I0ENwHk2R54tzGntLBl1EAgWnhmxlYSXit3PkngJky0d7DAU6Pfj5RFetuEVA7tzEXcAz3qvfIyXkbwFfJ7bjwcDvjZbeHk51d8UhKy+vzdcJv4Aeutw6Tn4RiBkdRuQHZxw/QJZ0ojbLTv2ef7o8LI6W1wYdBE7If/xxx/migZ/KNLrsW9jlQn3y/Lun5E9EIGv28Y+mNm9/W384QkW+7vMjjn2wBDEFiju0xkF/dmxDlldJn/3TVayYfocJ55Is1WGl5nTCsD9WWd/9md7vXkccF9vthaxJcwONAMlEN9hpg8x6OLJfKBK6fr728dOpDympdWZjCfeTCMIdJ1/fk7uFTzsYwEbL+wrxfxMuX1Y+MC9NZAFGfi5erY48neAE3/zGIzyxIbfg7QqiPm7rfxdHn/4u+zEAJOFINiRj/u3vd/zqhJTMthiy99+by23wYqXmGbGjvbeTiS4XzGAZzpIWgE4jy9M52I6iT/jsfDkhIH26NGjTVqae4MtlymjgJl8SfGwO3LzikR6uG+wkYIV8NwH8kovRvHlOxK0KihscuePPnc05mqnh039dhWKcMAzN+Z08RKJ/cHzC8svGc9kPHMAA4GtzdypeQZo45eRva7dl4HvbW8vX7YfK1/wbJtnpO4D5fAsluUDeVKRlkC8vzfcrvwBscsXEoNDHsCyQ1a2gR18sPWPr8NWAHf8W5aRygxuN/69e/WMQGCrPj8LphDZgQz3Z16N4nbnpURfsJoED6Z2qwl/yFiSjukL9o+Hr9umUaNG5kTcvWwkA0y7pGQwsA8AcyHZY585h8Rtz0DUl/zT7FiHrC6Tr9ufP/D8Lnseo3kJOL2RIv1ZZ3/2Z7b68Qop15v9S+z15lUa/ogHWiC+w6wExdxwVrbhD7M7phZ4bl9fsCGD29fXYyeDIPbDYGk9z1QAnkjxc+ZyBqoV2caTIgZC7u/FAIWX9G1cLi4ffyftKmf87eDycF+2q+Kwtdhzfbk92TiS3iAp/m4rX5fHH5lddjvI5HxsaOO+bwfSDMy5fXm1yZf0E3+3gz9YkYUnq54NZNzfeDLDk4WMrq7w94eNP2nlSqeFrewO69jnmY/N71ZGE//exu+4ZyMBj1sclIfbjw1U6eFJAAN6xip2/jn7v7A0cVa+I9nWAs7cQjt9gjs5V5Zn6yyrw4NWRjsmLx+w1As7tPBSny91wN3f0x13bs8RAv1NEeFys7WQPyo80127dq3Z8biDZkeuMluiGNyytid3HuaY8QSGHTz5fkwbYM6afYnFvV4mW3bZIslcTW4/frHt2rd8jl8e7kgMwPhDxBZSXgbjGWd6o2kF4v294YGPP3o8MDK3jAdJ7iP8zLJjdK+sbAMbc0d5gGXnUX5WnNiqzgNhZvc1Lg/3fbZWsYWG+11W64AzMOI68mDEQNkdT4R5uZT5dryywRFZ08PlYqDE1gJeumOZJXaq9vzh92XbcP0Y5LCeMw+W/C6xPB/r8vM1g4Ul/5iGwFZMrhtL/7HVgvcz6iSbXeuQlWXydfvzR4f3GYSydYmtZzxGs+NzeiNG+rPO/u7PDOrZSYnHCa4r6/NzvRn0Z8fVsKx+h/kdYEMBf5x5TOTvGxtNmBvOFjP2ufAX/54d++3+Gty+GdUB57GVwQE/S45lwTxnHpuZn8tGBp5kpNXpzRNbW7n/ZYR9R/h7wP2AAQl/D7nfuDdGcZtMmDDBFCvgMnE/YKoGT/D4/nbqJt+zR48e5nUYqPE4zJQajteRXqqqv9vK1+XxR2aX3e7/wZiGLfDundvZ4sx140mCLwF4ZvYZX7EjIb8TbBTg+vG4wXxolkHkMcoesyWj5WMjj3vKmi/4fRo4cKAJXLkf2/FfZnLA+d3md4Mny2yJZ0zK0ozc1mx0y+gqA/+GWRBM4eS+w32Jr8EAnCcEmf2O+CKOpVB8nZmXKLlDuWOrGwNXb7W8+eGyNZIfsHteDN+Sj/Msgz8ObH1NqyXE23u64xeMB3RioMcNzw/R87I7L0ewdc8zUHFfJl6Gtwfi4Q+ke1I+W1PZG5rBaXodmTxbSvha/JHxxA+Y6QHcbnaeIj9IHjSYS8QfKuaJMfhlagB3Jvdl5Q8qtw23H4Mr9xY0Ps+8TR4w+P7cwXzJSwrU+3vDHwy+Ng+E3Ib8P1to+XnYVWX4xec8zItzz5e165G7p8LwR4ifF09evHWIyWgbsIWXXxoGEWldzuJBkvsp+whwH+fkntbCzmp8TZ6IuONy8X352u64Lgxsecv1c6+akRbus9yP3PdzG1sumPrF9/GW+sUTD56Vc7ulFzS6rwer3nCd+X1Mb6jnjLYNMbhkr3oeI7js/Ey4Lvws7EuWaW1De/34mu4nD/5uc+I+xYCP+x33Be7LvCLiy1WYrKxDVpfJ2/r7s/3ZoYrLwP2by+pr5Qlf1jmz+zNfl63xXG8eC/j33IfdK1x5W29+l9kK6JlaZqdY2WlS/m6n9PY/G3+neKxgsMETVPdLzDw28jUYQHg2PjHfnt9bz34YDHIYyPPkhj/2GV0it9eD+wy3FY+X/G56pgbwCod7q5wnHid5vEwLj/X8rWI/IDZUcJ35e8hgKa0WXx6fuH3tgW84r+d+yP2Hv808ZjMwZXDs/vvMdbMHxvNM9/G2rdKbP6Pl8ffzymjZ08PfSH7/PX8f+f5cDs/fHn+3Q2b2PW/4vvxucT9ngM9t5tnybe9bzIv3TFHjNmcLNLcVv0f2yY79N+4xjru9VgzAQhWB6DfI4x3jP8Yx3D4ZNQZ74vGXy8PPhOvBW568uS+f5zb35TsSsABcRCSS8QDKHwQGGBmVz4rlZZLY4xmAi0j2CkgOuIhIuOGVM/cRFdl6xNQJtthm13gFkbhMIiISfAGrgiIiEk6YRsOWPKZKMU+Q6Ri8HM1c5fRSDmJtmUREJPiUgiIiUY19C5jjyJxm9m3wNYcz1pZJYlt6OcUiEngKwEVEREREgkg54CIiIiIiQaQAXEREREQkiNQJU3zGep87duwwNUIzM8y7iIhINGJFZ+bRs3O1+xgiImlRAC4+Y/DtbcAlERERcXaw9hxIR8QbBeDiM3t0LB5gOEpmtOEIWhzxj0MHR2tVilhYx1hZz1hYx1hZz1hYx2hfTw5TzwYqz1EkRdKiAFx8ZqedMPiO1gA8b968Zt2i7cchltYxVtYzFtYxVtYzFtYxVtZT6ZniKyUqRYkLLrgAtWrVSjG98sorKeY5d+4cXnjhBbRq1QrNmjXDY489hpMnT4ZsmUVERERikVrAo8T69etx55134rLLLksx6p47Dnk9fvx4vPXWW8idOzcGDx6MNWvW4Ntvvw3BEouIiIjEJgXgUaRMmTKm5dubnTt3msD7q6++wqWXXmoee/fdd9GpUycsX74c9erVC/LSioiIiMQmpaBEkRdffNEMI3zxxRfjs88+S/HcH3/8YcoIXnTRRa7HOnTogHz58mH69OkhWFoRERGR2KQW8CjBFuyBAweiZs2amDt3rklHWbZsmQnK7colDLbde2izVmnJkiWxbds2r695+vRpM7n38rY70nCKNvY6ReO6xdI6xsp6xsI6xsp6xsI6Rvt6RuM6SfaKc7B6vES8pKQkJCQkuP4/duxY3HbbbdizZ4/JBWfnS04HDhxI8Xe1a9dG9+7dU3XYpCeffBJPPfVUqse/+OIL05NdREREgBMnTqB///44fPhwVFYJk8BTC3iUcA++qX379iblZPXq1Wjbtq0Jwg8dOpQqUN+3b1+qzpq24cOHY9iwYanqnLKGazQeYNiC8dtvv6Fr165RWyIrFtYxVtYzFtYxVtYzFtYx2tfTvkIs4isF4FFqy5Yt5rZQoULmlmUHebHjr7/+QuvWrc1j//zzjwnAmzZt6vU1cuXKZSZPPHBG28EzltYvVtYxVtYzFtYxVtYzFtYxWtcz2tZHsp86YUYBdrBkWgjrfNPmzZtx//33o3Hjxqhbt655rEGDBmjRogWeeOIJnDp1ysz76KOPonr16ujcuXOI10BEREQkdigAjwLnn38+pk2bhqJFi5oUkRo1apjc7okTJ6YYleubb77B0aNHzXycVq1ahe+//x45cuhCiIhENl7hY9qdujU5twXTPZiXzJxk9v3h7bFjx8zga2fOnDHpiNpWIqGjyCsKFC9eHO+9956p871r1y5TD9xbUF2xYkXMmzfPzMMW8PLly4dkeUUkeBhocRwATrzvKwZnGU12wGsHcvYJf0a3ZP8tb9O6b9/yePXTTz+53sc9cPQWRPJ92NeFlZ442fe9PeZt2dJ7zH39vW0nb/N4W1bP+wyKeTXT27J6m7hN7IpU9sTXsO/7GlzzfTwne7v4cmt/lty3OPly/5dffjG/UXwv+9Zz4uNMgWSlLjYY2e8lEi0UgEdZDhpbwDNSunTpoCyPiIQGgx1WQGJfkO3bt0dFiTR/Tx7slLxIsn///oC+HoPknDlzmuDVPQB2D87tx4LJs8StL79tDMT528WJJXVFIp0CcBGRKMCgigEcg27W/XcPcPLkyWNOzv0tH8oAzn2yWz69Te7L4e3W87631lRvjzE4nDlzJjp27GhaRTNqXXdvSbdbXtO6bwee6S2r52NprXtaj7nfet63/8+ThYULF5p+O/y/vZzelt2euC3szowMsu377v9nS7Ln+3luH2+TP1cnyL3V3r0V3fM+5+fAb+3atXOtt/v7ev6fKTO7d+82Lfs8keREHM+iVKlSJhhnYK40SolECsBFRCIUgyCWF92xY4cJupnza2MQxqCbqWdMU/MMxCIFW++57Dx5iNZKE1xHBqjlypXL9nW003M4BXt7cj0ZjLM6l6/vzaD94MGDJnWSwThPMtmXidP69evN63H/ZkBeqVIljVEhEUMBuIhIBAbeGzduNAENWxRtbAlkEMegmwGJ8mYl0nEf5lgVnOrUqWNaw5lexWCcQfnx48fN/zmtXbsWzZs3R9myZUO92CIZUgAuIhJBmFqyYMEC0+ptByjseM2gO60O2CLRgld2WECAE09EmabCQJwnpLwaNHv2bFMJrH79+joBlbCmI7WISITg5fe5c+eaVBM7T7p79+667C4xifs/88E5nXfeeVi2bJkZYG7dunXmu9KyZUt12JSwpbo+IiJhji19a9asMfX+GXznz58f7du3d3XEE4l1zGlv1KiRGemZ3wkG4Bz23r5SJBJu1AIukk1YYIF94k6eBE6dYhDFFhumDDhv7cnz/5xYNe7IEeDwYeet++T52LFjQP78QNGizqlIkbRvExKcy8biBUePOv/evvV2n5O93GQvX1r3uS6MBzkxE8K+7+3/9mOcuFz2fffJ/XFiZTlO3D7ebu37p07FYf78sjhyxLmAns973i9UCGjZEmjcGMiVK/D7ArchP6e0Pkf7Pre3e0U4/l1S0jns2rUbx4+zvaQB8udnBYiSmDSJo97WxaxZ8WBxEy53zpzOW2/3c+cGypUDqlRhVZTAr6NIOGBqSuHChc2VInbeZEpKzZo1Ua9ePaWkSFhRAC7iJwZFr78OEwDZAba323AsvZwnD7/yPXDqVA6zHtGL69nM779ioMogvFWr/yZfx6viSc3GjcCKFc5p5Urn7ZYtzsDaqtiWyXUpl8ZzVTP1iuyjdt55qaeqVYFSpf47sRKJRLxC1KlTJ1dKCjtn7tu3D61atVK6loQNBeAifnr1VWDYMP/+hq2QDGoY9DIQ4637fU+ct0ABZ8tswYL/TZ7/58QxKdi6euAAcPCg99tDh5zvdfIkI6v/UhbYwszX4Hu539r32bLOeezlJfdbz8fYessTD3uyW5nTmji/3Rqd1n37/1x+z9Z091v3+wkJyTh69ABKliyKnDnjUz3veZ9XqefOBfbsAebNc06jRjnXiQG4e0DeqBGwd+9/gbYdbK9a5TzxSg+3pftn6Hmf25zLY9f03rt3L+LiHKbjWbly5ZE7d25XcMw6yf/88y8qVKiKs2cTwLLfZ86wk+Z/k/v/uWz2yQDXl9Ps2amXka3jDMY7dgRGjnS2nItEakpKiRIlTKdlfp+mTJmCFi1amM7KIqGmAFxCioEGA4lIqdzw88/Affc57997L9CiBczlfwYt9q37fTs1wJdRlN0Dcs4fyJGX+bpMcdiz5yx+/30mLr64A4oVSzTBVTS2dp49y+Gu/0SPHj2QmOjbhuR237DBGYjb07JlwLZtwLffOieyT6S84Wd9/vlA3bpAnTrOWwazhQs7A2zuExlt71OnTuGvv/4yZdaItY05QItnrvfZs8n45ZfV6NGjChITE3xeR56QcT29TQzQeQWHJxScuA+OHu3TS4tERErKrFmzUKtWLdStW1cpKRJSkRH1SFTiqGd///23CTg4Mlq41yxmS+fVVzuD2ZtvdrYOBjJ45WvZOdqBxk3LIJCt5WXLHjdpBuq7l3r7MwWD08CBzseOHwcWLEgZlO/b52ylrlHDGWDbEwNu/m1WPkMG3Qy++Z1gCx4D7ypM2g7gOhYr5pyaecnQ4VUJBuHTpgG33AK89hpw4YVAz54BWwSRkKWkLF261Azeww7NTElhlRR/R4cVCRQF4BIyHEBh27ZtpgV8xYoVpm5ruGLKwcUXOy/fX3ABMGZMdLYcS0o8YeHnzcluQd65Eyhe3JkvHkj8LsyZM8fcL1iwoMlX5YiBwcSTMvskhC3gbP2+/nrnlQBdtZdIZp/Q2ikpDMB37tyJqtzZRUIgvJscJaoxuGhmNcOxRYJDaYcj5s/26QNs2uQMTMaNC3zwJZGBJ13swBjoz5+lBRcuXGjuc0CdLl26BD349vTCC0CDBs4W/+uuy0onUpHwUaFCBXTt2hW1a9c2tcNFQkUBuIQUgw2WiKL58+ebkczCCVs8b7vN2VmN8dDEic7L9yKB28ccpkWOQ2wXKVLEnJSGQ58I5rN/+aUzb/2334BXXgn1EokEBgfuYVlCDuQjEioKwCXkeCAsVaqUSUX5888/zVDb4eKll4CPPnLmUH/zDVCrVqiXSKINy6Qx95uXyFmhgbfhonbt/zphPvww8PffoV4iEZHooABcQo6dL+0hg5kXPm/ePCSHwfXun34CHnzwv9KD7IwmEkiHDx82tYqpQYMGJvc73Nx0E9C3r7ODJjshs+SliIhkjQJwCQu5cuVCmzZtTOsfWwPZKTOUGBMNGPBfCsrgwSFdHIlCvOJjn2yyLnG4dgbjVfqxY5k7y9Z64K67Qr1EIiKRTwG4hA3Wag2HTpksv8yKJ2zp69TJWYpNqYISaDzJZAs4Tz6bNm0a1vmoRYoAn33mTMViStZXX4V6iUREIpsCcAkroe6UeeZMPPr1SzC1kKtXdw6+onrZEmh79uwxw2MTg+887OkY5tq3Bx55xHn/1luBjRtDvUQiIpFLAbiEnVB1ymS6yZtvNsTcufFm0JoJE4CiRYPy1hJDWO2EJ5fEMmjlypVDpHj8caB1a+eoqkzROncu1EskIhKZFIBL2AlVp8yRI+MxY0YFJCQ4TMu31RAvElCLFi0ydb85Oh87XkYSVkf8/HNnSU6OCvr006FeIhGRyKQAXMJSsDtlTpkCPPqos/zbq68mo0uXbH07iVGbN2/Gli1bTL43Sw4mRmB+U+XKwNtvO+8/9xzwxx+hXiIRkcgT+tEeRDLolMkWcHbK5CAlHMUsO1JPeGmdLrxwE269lSkB4VOLWcIIS/C9ydIgAIp7mQql3azBqzls/YYDqFuxLoodKgasB7DPmvYCOACAaR0Oa4LHrdv9+OR41NlcB/Hz4oECAPICyGPderufx1ruZOt1vN2630/iMLDMmUl9e9Vp4ExLYPE8YPbFQNM7gby5rXWPc7tN6368x5Tg5TFrikuOQ5llZRB3Jg7IZc0bqCneWqeT1nTC49bzsbNe/j691+f5VS6PKaeX/8cDOU7mAE65va4/+Jnxb49a+6j7xMdKAmiX2Z1eRLKDAnAJ+06ZBw8eNB3WmDfLEcwYmAcSR7n86y+2ujvQv/8aAJGTkytBxCDnGgA/pDMPg6di1mQH5TkAxz4HHJsduOjgRch1NBfiz2X94mMCElAN1YCfEBLXWhOOABiRfe+TAznQHM0RzRKRiJ7o+d8DdvCe0+3W/X6idVLgHmhnlKU3EXB/CxEJLQXgEhGdMlkNhako7JTZpUsXk6ISyNEu6ZprklG4cPiMwilh5mUr+GYAdDmAg26t1/uslka2Gu+xJjdxiEN+5E/5YD63IL2EdVvUen3nHzkn+77HY0nJSdiwbgPOK3seEk4lpGyptaeTHvft17BbmNO7n+ClxTZnytv9x4AJvwKnHUD7DkDtmhm0sHtrac9gSj6XjAN7D6BooaKm1d9sY8+JVw2S0pjs1nzPyb6aEO/lSoH7FQT3xxJ9eF336YzblQN78vz/aWted/bfs1XbX1xO7moFrFt+7usADOMlPmsdRCTkFIBLxHTKnDp1qrmMv3TpUjRvHpgWsTVrnCNesgTz0KHJ+PffgLysRJtZAB6y7r8K4HYv8zCQ2m9NboH5iSMnsHzncpzKfwpVW1RF+YblncF2FisPJp9NxqpfVqFyj8pISAxNyhQb+ve86BwxtsIGYMNUZ0fNQEo6m4Q/f/kTPXr0QHxiALst2ScA9glHCJ09dRaTf5qMizpfhERHojPVxQ7evd3nbW4rwHYPthl8e+4KvEJR3QrCmT41NEQrKSIpKACXiMAWb3ZamzZtmunIVqtWrYAM2/0yWzUBXHKJs+qJAnBJZReAK60WyQEAbktrJwVQ1posLKX5x29/4EiVI6bcYLnW5UIe7AXakCHOq0gcN+uHH4DLeXUgEtit/OEgAUjOlQwUzIYWar7mswBuAfAkgIHWmZOIhJSqoEjEKF68uAliHA5HQKqi7NoFfPKJ8/7992d9+SQKMbXhagA7AdQB8I5/raXLli3DkSNHkDt3bjRp0iSsR7vMrNy5gdusk5JXeXVAws8gAPUBHLKCcBEJOQXgElHq1q1rbrdt24YDB1gyIvPGjOGgKEDLls7BRURSeQzADOvy/jgrb9tHDLzXr2eZE5hqPgzCo9XttztHjP3zT+Dvv0O9NJIKW/rtk6O3AKzSNhIJNQXgElEKFSqEyixEDGD58uWZfp3jxznq5X+t31HYMClZxeoi/7Puvw+gln9/vnLlSnO1pmzZsihTpkxUfx5cvSuZpgNg9OhQL4141RFAbyuV6j5tI5FQUwAuEadOnTqmYyaronDKjA8+AA4eBKpVAy69NOCLKJFug11jj0nOAPr59+es2rOVSdFuV22i3VCrc99XXwE7mbIj4WeklWM+yZpEJGQUgEvE4RD15513nqsVnK2M/jh3DnjlFef9YcOAhHDpiCXhgaXf2JHwMICWVtDiJ7uPAgeOCnTd+nDVtKkzlevs2f9GypQwU806oaR7rWoqIhISCsAlIp1//vnIkSOHyQPfsWOHX387fjywaRM7dQLXXZdtiyiRigHKYqsu9zdudbl9tH//frNPssMlr9bEkrvvdt4yAD+VmRrWkv0etfbt1VanYhEJCQXgEpHYoa169equVvDk5IyGgXNiY/lIq0XzTg6fzbq5IraPAYy1Kp18wSZs/zeN3TehUqVKASmVGUkuu4yt/sCePc5UFAlDvCDzjHX/CQBZ68suIpmkAFwiVs2aNZEzZ05TbWLLli0+/c3MmcDChc7SaQzARVyWudX4Zqm2rv5vmz179piJfRRirfWbOAiP/b1iZ0w/s8MkWG5i5wQr+H5am10kFBSAS8Ri8M0BeeycWw564uuw8zfcAJTg8N8isPK9+1r53xdZl+n9xL4Idus3+yiwr0IsuvlmIE8eYMkSYBZHEJXwHILP6geDNzgkcIiXRyQGKQCXiFatWjXkyZMHJ06cwIYNLF2RtlWrgJ9/dpYcvOeeoC2ihDuHNVDJeivl5LPMHRl37txp8r8TEhJQu3ZtxKqiRYFrrQoyKkkYxniF52JrsCmVJRQJOgXgEtHYEZMdMmnVqlU4yxIMGQw7zzxVK31cxDlAyXirPNu4zA3T7T46q31SGMs4PD1xaHp2eJYw9ZLVGv4zgF9DvTAisUUBuES8KlWqIH/+/Dh9+jT++ecfr/OwLvFnbNlkY49ae8R2whrtkkYBaJ65TcORWVn7myeEdlpULOM5cdeuAPtGc8RZCVM1ANxl3R9mtYaLSFAoAJeIxw5v9mAna9euNYG4p9decw4736YN0KpVCBZSwhMHIzkOgIOr3pG5l2AFHo56STVq1ECuXLkCu4wRXpLwvfeAY8dCvTSSpsesqz4cnv5dbSeRYFEALlHBHvCEKShr1qTsUXT06H8Dg3DYeREXppzAGniHpQczgRV4WImHnYIZgIvTRRfxhAQ4fBj4mOUdJTwVAfCUdf9xAAdDvDwiMUIBuEQFDnpSr149c3/9+vWmU6bt/fc5NLgzGLiYnY5E6CSACdamuCJzm4SVd+zWb7sspjjFxwN33fXfFSgfS/VLKNzKvCGOIuVWI1xEspUCcIkapUuXRvHixU1QxA6ZxD6Zo0ZZIy/f6wwKRIzJVvpJRQDNMrdNNm7ciOPHj6cYGEr+w5FmORbRunXAr+rkFxllCV8HsC7EyyMSAxSOSFS2gjMwOnr0KMaNY4qAs+b3NdeEegklmtJPzp07h9WrOZ43TNlBdsCUlAoUAG7ioC8qSRj+ugHoYXXEtDsmi0i2UQAuUaVEiRIoU6aMNSjKCtew87wUHuOV4cTdqaynn/z77784efIk8ubNawbeEe8GD3ZeeWILuHW+IuHKTj/5kZ1nQrwsIlFOAbhEHbsVfNKk01i82Bl435HJChcSpX61AgwOvNPC/z937+zLOvQcfEe8q1IFuOSS/3LBJYw1YiF7AKet2uAikm0UgEehIUOGoG3btli4cGGKx9kq/P777+Piiy9G9+7dMXr0aHMZPdqwGkrFihUxcWJN8/9Bg4BimRhcRaLYt9Zt38yln7DePMtdsv585cqsYSjpGTrUefvJJ8CBA9pWYSvO7YqQ/R0RkWyhADzKvPvuu/j999/x559/moFB3D3yyCO4//770bt3bwwcOBAvvvgibr2V3d+jT968dbFkSRnExTlw/fWqqyVu2Lr3U+bTT86cOWPqzRPrz7MOvaSvQwegQQOAxYlYF1zCmP2d+AWA6reLZBv9ckQRlkN76qmn8J6XX7h9+/bhpZdewquvvoobb7wRAwYMMPN98MEHrmAimowfn9/c1qu3GydPOocIFzGmWOkn5QC09H+b8PvCFJRChQqZ+vOSsbi4/1rBOTJmFF54ix4NAVS1+kkoDUUk2ygAjxLsDHbVVVfhlVde8RoUzJgxwwQNl9jJmOBQ0V1NB7KpU6cimrDesD3wxwUXbMLOnTtxQNe9xVv6iZ9HwFOnTpn0E7v1m5V3xDdXX+2sRrR1K/DDD9pqEZGGYlcKEpGAU92sKHH33XejcePGuPLKK7Ft27ZUz2/evNkE28yPtrFsWsmSJc1Ift4wx9V9WHeO9kcM5DmFq5kz47BpUw4ULOhA795x2LvXeXWgZcv0mzvtdQrndcuqWFjHdNfzNJDjpxyIQxzOXXYOjrMOv16X9eXZb4LfI1bcCeV2jLTPkv1Ub745Hs8/n4BRo5Jx6aVJUbmemRF269gbSPxfIhw/O3Du0DkgX5SuZwBF4zpJ9lIAHgXGjRuH3377DUuWLEn34MDBQjzlyZPH5LR6M2LECJPS4mnKlCkmmA9Xo0ezK39FtGixGYcO7TCPsRV84sSJPuXrcltGu1hYR2/rWWphKbQ83BKnipzCrwd/dea5+oidmO3vyrFjxzBp0iSEg0j6LKtVy4UcOS7EnDnxGDPmD5x33uGoXM/MCpt1dABdSnVBvt35sOT5JdjRxnkcjbr1DCD30ZdFfKEAPAqwsglHf+zRo4erkxjdc8896Natm8n9Llq0qOmUmZycnCII3b9/v3nOm+HDh2PYsGEpWsCZ3nLhhReiIIe3C0PHjgEDBjh360cfLY9Wrcph/vz52L59u2ntb968ebonKfxhYGpOYmIiolEsrGN665nwnbNcYOLViejRy/l98dWKFStM+glbvy+44IKQp59E6mfJ85Zvv2UlmXYYPDg5atfTH+G4jvED44GXgSYbmqDhc0wMj871DBT7CrGIrxSARwEG2AcP/lfpY+/evejTp4/pbMkDHTVq1MgE34sXL0aTJk1caSl79uwxz3mTK1cuM3nigTNcD54//ggcPw5wVPB27XKYzl916tQxATgn5spndPIQzusXKLGwjqnW88x/g+8kXJmAhETfa3czFYujq9q53zlz5kS4iLTP8uabnQH4F18k4OWXE3weICvS1jMzwmodr4IJwOMnxSP+bDyQN0rXM0CibX0k+6kTZhRggMm63/bUrFkzV6DA56hp06aoX78+nnvuOROI07PPPovy5cu7gvRo8NFHztvrr3dWXiC2WJYtW9bct4cOlxj0OwBW5iwNoI1/f7pu3TpX7jdHWpXM69wZqFQJOHyY1Yq0JcMW22lY4p6ZFeGRbSUSVRSAxwheLv/6669NZ0QGo0wlmTx5sskf99bKHYk2bGAHTGfgfc01KZ/jaIXEDqfM35UYrn7Sh03gvv8ZU7rsyifcj0KdehLpmAF3443O+6oJHsa4m19u3degPCIBpwA8CjHXedasWa6WcFutWrVMCzDLDk6YMMFcUm/RIhPjcIcpjrJHXboAnpUYmedeunRp05FOreAxiAUKfsjc4Dt26zfrfpcrx+LhklX2FaoZM4D167U9w5b9XZnIWrchXhaRKKMAPAoxP5WpKAwYPLEDJlNTGjZsaMoQRmPtb/64e2O3gm/atAnHmSgusWMaAHaTKAmgne9/ptbv7MET5Isuct7/4INsehPJOrbhVALAw6XSUEQCSgG4RIU//mBgDbB/Ze/e3ucpXry4uTrAVvA1a9YEexElAtNP1q9fbyo3sOMu+0tI4Nx0k/P2ww81MmZEpKFoUB6RgFIALlHV+fLKK4H0SpTbreBMv1Hd1hhKP/ne//QTBt5MPyHlfgder17OkTF37QJ+8aMeuwSZ/Z1hBSGloYgEjAJwiXjsUzluXPrpJzaOXsiWcFaCWbt2bVCWT0JsBoAD/PABtPev9ZspKAUKFFDrdzZgJcfrrnPef//97HgHCQgOncA+Ney7/qu2qUigKACXiMfg26793apV+vOygoXdCr5hwwacOnUqOAspoU8/ucz3kQ/Y6dJu/a5du7ZPI6iK/+xqKD//zNFqtQXDkqqhiGQL/apIVNb+Tk+pUqVMVRSOHqpW8Ch3LnPpJ//++68ZfCd//vyoWLFidi1dzKtVC2jTBkhK+q8TtYR5GoraLEQCQgG4RDQOTphW7W9fWsHtQEuiU9wfccA+AMUAXOB767d9YqbW7+B1xmRNcIcjCG8o/mO1WvZBPgpgijagSCAoAJeorf2dHo5myFEN3VMNJPrEfRfnd/qJnZqUL18+VOKQjZKtrrgCKFCAJ8POk2kJ00hBg/KIBJQCcInq2t++tILbne0kusQlxSH+h3i/0k+YlmSXqOTAVcr9zn758gFXX+28r86YYcwOwH8CoIuGIlmmAFwi1qxZzhSU9Gp/p4ejGnKwIpabs4cal+hRbGUxxO2NA4oC6Ohf63fevHlRuXLl7F5E8eiMyQ7VBzlgkoQfdnDnQLBHlIYiEggKwCXiO1/265d+7e/0WsGZ40sMwBmIS/QoO6es8w5PzhL9b/1OSPBjxB7JkmbNgHr1ABYl+uILbcywjRb6Wvc1KI9IlikAl4it/f3tt5lLP3HH0Q1Z55kpKBycR6JEElBmXhm/0k82bdqEkydPIk+ePKhSpUq2Lp6kxE7UdmdMpaGEMfu79KPSUESySgG4RKTvvnPW/q5WDWjdOvOvwxxf91ZwDlMvkS9udhxyH8oNRxEH0Nm31u/Vq1eb+zVr1lTrdwgMGOAcnGfxYmDRolAsgWSIx1qe1x4GMFXbSyQrFIBLTNT+Tg/rPLPiBVvBGYhJ5Isb79wpHJc4fEo/2bx5M06cOIHcuXPjvPPOy/4FlFSKFQP69HHeVyt4BKSh2ANciUimKACXiMNMkRkz/Kv9nVEruF0RhQG46oJHuCQg/nvnoS25T3KGsycnJ6do/c6Rw8d6hZJtnTE//xw4cUIbOOzTUFQ8SiTTFIBLxNb+7tyZrdeBeU3We2ZFFFq1alVgXlRC408gblcczuQ7A0fnjFOKtmzZguPHjyNXrlyoWrVqUBZRvOvUCWDxmcOHnWlmEobaACgN4BCA30O9MCKRSwG4xEzt74xawevXr+/qjHdQtdAi11fOm13NdwE505+VVzzsEy61fodefPx/reBKQwlTLA6kNBSRLFMALhFZ+5sj513G0Q0DqHjx4q6BVxYvXqwOmZGIlSS/cd7d1n5bhrNzEKZjx46p9TuM8MSaX0OOiqlBasM8DeUH6zsnIn5TAC4R2fnyyiszV/s7I8z/Zf3nffv2YevWrYF/A8leUwDsBxwlHdhXf1+6szLX3279rlevHhITfeitKdmufHngoouc9z/4QBs8LLUFUAoAB01SGopIpigAl5ir/Z3R4Dw1atQw95cuXYpz585lzxtJ9rAGcUm+IhmOhPTzv1euXGkGXypcuLBGvQwzdk1wpptpfKwwTUOxKtaoGopI5igAl4jBYaoDUfs7I9WrVzdlCTkoi10dQyLAMeuSOMsPXp1+8H348GH8+++/5n7Dhg1dqUcSHnr1AkqWBHbtAiZNymKdUckeSkMRyRL96kjEePNN5+0NN2S99nd6mILSoEEDc3/t2rUmR1giwE8AWLquKuBoln4AzqsbHHSpbNmyKMlIT8IKs4Guu855/8MP9TMVltoD4FfngAblEckMHdkkIvz1F7BgAZArF3Dzzdn/fuXKlTOBGWtEM1iTyEk/QX/mEqU9286dO7Fr1y7T6m2faEn4GTTIecsW8P37c4d6ccRbGsqV1n2rMpWI+E4BuESE115z3l51FVCiRPa/H3PBGzVqZG63b9+O3bt3Z/+bSuaxv+WvbgF4GtxPqKpVq4YCLKcjYalWLaBtW35mcZg2LUAF/7Mo46ryMcbui/OD1SFTRHymAFzC3s6dwDdWabm77gre+3JgHntgliVLlpjgTcIUO+eyv2xjRm5pz8a87yNHjpiyg/bopxL+nTEnT66MMyEcdXGVNf5MBQDrQrcY4acRgLosKfRf+U8R8Y0CcAl777wDsBhJmzZAkybBfe86deogZ86cKTrtSRj6POPW7zNnzpjKJ+6fq4Q3XvEqU8aB/fvz4Kuvgt8Zk6fcr1jndXMAbAfA1PSkoC9JmIpzawW3SsSKiG8UgEtYY6vX228Hv/XbxpbSunXrusrWsXa0hJlNzuHnTTBwVdqzseY3g/CCBQvivPPOC+YSSiaxz8dddzmvPL38coIZCTdYNgDoCOBeq4G3K4CCAOYBeCl4ixH+Blj54Nwwa0O9MCKRQwG4hDXW/Wb6ddmyQB+77myQMVhjOgqDtxUrVoRmISRtX1q3F7D3rDMevzs+Hr9Urgx7LMyjR4/in3/+MfdVdjCy3HxzMvLmPYvVq+Pwyy/ByfN+F0B9AH8AyMercFYXg9HWPI8DWJ79ixIZSgOwBk5SZ0wR3ykAl4jofHn77c7SZKHAahnskEkbNmzAoUOHQrMgkn71kwHOhvDmLFmZkIB3GzTAeYmJaMYTOavsYOkyZVC6NCMGiRSFCgHduvG0Cnjxxex9rx0AegK4FcBxAO0ALANwi3WBheknF/PKnHU/hGnp4cVOQ/lU+TkivlIALmFdenD+fICpurfwFzCEWJKwfPnyJohbvHixuZUwwOiIFyVyAl/2BToB2Mt+YQ4Hau3fjziHA6d270b+HTuQFBeHBxs0wH0AZilOiCgXX7wBiYkOzJoFzJ0b+Nd3WBdSmGw2iakvVprJdF4Bc5svzmodLwpgMYDnAr8okYlnJUUAc8lpWqgXRiQyKACXsPX6687bq692jooXaqwZzUF69u7di23b7OQGCYfW7xU9gf6FnS2SzFSade4c/jd7NjafPYuHlywx8/xetSrmFSyIl60xRMqw1rQ1fs/J0K6FZKBo0VMYMMCRLa3g+6xy1v2tSnrs573Iyv1marMnXj95y7rPAHyhPj3nGcvV1oZQTXARnygAl7DEIahDUXowPRyevmbNmuY+a0mfY2kWCZ1kINkKwJ+0qp88YlUkZN4undy0CQmHD5uKJy/WqYPvAFxjNdaxpfxDAJcCKMbhz63AakvIVkjSM2yYs/bIjz8Ca9ZkfVuxP+ePVqs395kc3I8AsIE9owKV/aygnUt0LYBT+uicOTk0HsBhbRCRjCgAl7AtPXj2LNC6dfBLD6anVq1ayJs3L06cOGGGqZfQ2f0nEL8VOFwQmNoT+AzAs24HNaYJrV692txnze+iuXKZ1vFP+LfWlfIhACpZLeA/A7jD+n89AA9ZqSo6zQqfgXkuvZSfK/BSJsuQbLNOuvpbLdm9rX3hfKuIxxMAfO1q8gaAUgC4hz2WucWJLuxsUdv6MvGMRkTSpQBcwk6oSw+mJ0eOHK7hy9esWWMGdZHg+4uDs1i1v3/pA0zK46yG5i4pKcmUjeRolxz10l2iVWKOVS02WqnkIwC0tQ6KTCt/wUpVKWldXf/MSleQ0HngAeftp58CO9hjMgNHAUwEMNSKDStYaUdfWldAeKWEL/m3lXriD141GWvdZ1rTbMQ4u5cqKQ1FJEMKwCXsjBvnTEFh6cG+fRF22BmzVKlSJsCbN2+euZXgYfDU5QzQy2pl6zQAaOUxz/Hjx12fC0+YWMkmvbjBvcWbgRkzWwZYne2YF/yVlbrCFs/WVn4wW9KZXa7K8MHDK2Icnp4n6aPtmoBuzlkt2c9YJ09Frf6BLKbErBXuBS0APApgJoAD1olW7kwuD1/7BqsTJ2PPY4hxA62NzLOR9aFeGJHwpgBcwk44lB5MT1xcHJo3b27yilmScPlyVQQOhmQrRYDpAxf8ChQ7ACSXBkqxKduDXa+d1WvKlGF3S98VdWvx3mON8fMwA3lrGeZaoyMy4GJxyvxWAM/Y40WrXvROKyiT7GsFf+tt4IfDztZn+7Ngi3Yrq063nT50nlVWcJx1BcM9QA/EWKijrJZ1DtzzIGJcOQAXWvd5hioiaWK/E5GwwbKDLD8YDqUH05MnTx4ThM+ePRvr1q0ztaVVXzr7nLBKDduppc9YnS/jr0pdqmL37t3YYeUn1KtXz5wwZVaC1eLd2qp4wRzi36wSdExbWQqAVeFXWJOVFWOUsAZzYXBey21iSkvwB1WPXOzguKFQIXwSF4dV3OY9gYTzgaOrgMtYE/D+lPMX5lURKw7k6JXZPeZpIQAfWO/1ppVXzvsxi2dDk600FPZqVTOfiFcKwCUsSw9edVV4lB5MT9myZU1u8fr16zF//nxceOGFyJ07sxezJS1sxexmXdXmBZH3jwINWb6CrOontlOnTpnPgph2wmHnA6m8lXLACVYr9zYrEF/mdrvOSmX53Zo8AzYG4jXdgnLerxagFtlw57AGudltXWHwdut+/yAvg13AYU4t8VbQfQOQMAq4ZAjQKJfzRIcnPJVDEPN1AXCn1TFzkHUyxs85Jl1qrfwWK8/HyxUqEVEALmGEed9ffx2enS/TUr9+fezZs8d0xlywYAHatm2bpRZXSW2EFXwXsmp2t//RqrRQHUDT/+Zj1ZO//voLJ0+eNB0v2QEzu8VZ6QcVrDKG7i32prUWwEoAa60c5E1Whba/rMmztb2KVZ+8mNtUPI37BTyC2iTrZOWsl9uz1vO5rDQNTnn8bIl3WJ0aD6QxHfOYjqfzf397TRQ4cwaN2QE6Pt4E2bX7A5c/AuzcAfT6HBjEqDfEXrAafv8FcLdVbSUm5bFqNPLqxEcKwEXSohZwCRvvvussPdiqFdDULbAKZ6yK0rJlS0ydOhU7d+40reHVqzMylEBgqsfT1v03rLxdV55H/5QRJEsOMv2EgyXZ6UGhktc6N2jqJZ1ivRWM20G5ff+o9ZzPfdcSE5GzZ08kJyRkulRiXreA3PM+rA6o7kF2UoDjNHZqLWndpnW/yNmz+GvSJPTs0QOJdmfanMCwe4D77wdGjgSuv55XPBBS+aysi3ZW3HkZgEsQo663AnAm3o/xOFsUEUMBuIQFVjV4yxpebgiLM0eQwoULm0obHKKeA/SUKFHCPCZZc9oa5ITBZV8722SPlYTtkX7CqxArV7KtmXXjmwQ89SRQclsDv3DybF1mx81/rFXcb3UY3J/GfXuckzM50j+E57DSdnJYLeynPUb9PGFNTJfxVS6rBb6oNRWzBjYqYHVIzW8Fo+ndL2jd+tICfzaN+dhH5NlnnYPyTJjgrBEeam0A3AdgJJfP6jvAqxYxp6V1hYo79HdWQC4iKSgAl7AqPciCFeFYejAjzAXftWuXaQVnacIuXbqY1nHJvCesXFq2hL5lB2HfWs2wbFqu8V/eN7c5U1AqV65sprO8lBJBuG5lrckXPCnZffYsfp4+HRd27Ii8iYkpgu1EK+D2FrgmW0H3cWtyv+/+WLJHoG1PbLkOBzzHYqWk//3POTx9OATgsK7Y/GylIA13qxUeU+KsoPsR63KAAnCRVNQ/WcKq82W4lh7MCPO+mzVrZjphMh+cLeGSeXOsVkR6x6ooAvf0E2vUneTkZBN8Mwhnq3fjxo1jYrPnsFM0Tp40ld9KWsFxAStAzpFO63K81fpcyqoQUteqjd3JqmvNwjJMqb7JSqPoYFVyKRdGwbeNV8tYMWnOHOBP1osMk6scTJeib2K5Tvw11k440xrtSkRSUAAuIbdgATBvXviXHswIg2/mHtO///6L7du3h3qRItJxq5JZspWCwrJuxgarCHe81cnLyvtm+gnzvlu3bq2rDjGGV8yus0ZffIG9IMNEe6szLcfJnYYYxZ7Jna37qgkukooCcAmb1u8rrwRKsVkugrEWeI0aztwIVkU5cYIX88UfD1odEVnyb7TnEJiwmmrLOOt9R0Let2Sve+/lFShnHvgq5n2EyQ8rrx7ASoGOWe5D0/OMWkRcFIBLSDHv+6uvIqv0YEY4+As7YZ45c8bUpGZusvhmqtvlew5u4urK6khZ/YSlBllykKpUqWLyviU21awJ9LYuk7z0EsKG3ZWFVTMzW6Um4l1m5UUxBSV0RYlEwpICcAmL0oMtWwLNmkXHh8F0CJYm5C3TI9auZZE5yQgre9jlnO/wHE2QKfWrnSU4knsnm+Cbed+FChVCo0YchFxi2YPWGPCffQZs48hIYZKGUtSqWhOzsSfL3vSz7rMzZpiYOhX46CMgKZB1NUX8pAA8Shw/fhxvvvkmrrvuOtx66634/PPPce5c6naXH3/8ETfccAOuueYaM08oW2dZevDttyOz9GBGmA5hB4bLly/HgQOsoizp4eAlWwFUBfCi55PW0PMc7WbV9lXmxIZVZlq1aqW8b0GLFkD79s6T+dEp8pZChx1h7cIs4xHD7DSUb60OHiHGn0Vebb3hBuDVV0O9NBLLFIBHAZZca9q0Kf755x907doVtWrVwoMPPogrmVTt5sUXX8SAAQPM85x/6NChuJcJlCGyeTOQLx/zpiOz9GBGmBpRvnx5c5LDSh2RVhovmH6yGsjirHRRNpy5nP4v/eRgj4NYZSX6Ku9b3D3wgPP2nXeAcDnf7eMWgMdsCnRbq9zOMSDu+9CPEjx2rLN2fLFiwE0s9SMSIipUHAWY6vDnn3+iaFFe8HSqVKkS+vbti/3796NYsWI4dOgQnnjiCbz66qumhZwYHPbr1w9DhgwJSQ4tB4xkdsbGjc4KKNGGpQl5osPW72PHjmHu3Lmq1OEFL9HfbN2/zxrMJIX3AOwAHGUcmF1wtolkzjvvPLOPi9h69ADq1weWLQMeesiZ3hZqXawUaNZDWmCVe4w5cVYr+BNA/GfxQAivdh45AjzBAQYAPPkkUKhQ6JZFRC3gUSA+Pj5F8E3MOy5ZsiQKFHCOATxjxgyTM8ug3NarVy/kzJkTv/76K0KFw0dXZc5BlOL2tfPBOVDPrFmz1BLuhglQt1ujP9ZxG3behcM2Pu+8u67fOpxMPmnyvhs2bBi8D1EiAiuhjBnzXytnONQFZ03wntb9mE5Dudb6jKbHIc/e0FWTZ6nKvXudjT9WO5RIyKgFPIqMHTsWEydOxLZt25CUlIQpU6aYAJA2btxo6lQXL/7fwMi5cuUyQTqf8+b06dNmsnGAGWIqRTSmU9jrFOh1Y8DIGtVsAd+7d685GeL/7c8mGtYxs76Ki8O4HDmQw+HAB+fOmdEb3Zcs/s14JOxIwJnSZ7C82XKT780Bj5jWk946hNt6ZodYWEd/15OduW+4IQEffhiPW25xYP78cyG/unZJXBy+ypED4x0OPHPunNcBkqL+sywHJHRIQPzMeFSYUQFn+wd/PbduBV55xTlE1fPPs38UjyGBe/2o/ewk2ygAjyItWrQw6SYcBGb06NF4/fXX8d5777mC6bx586b6m/z585uWcW9GjBiBp556KtXjDOy9vVa0+O2337ItJYUOHjyIX375BYmJia7HomUd/XEgd24M6djR3L9izRrsXLcOO92eTziVgC7PdEECErDskmVITkxGPOLNVYRIWs/sFgvr6M96duqUiPHjO2PVqly4/fZ/0LfvPwiluIQE5OzeHesTEvDWrFmofPRoTH6WFRpUQOOZjVHllyqYOnEqknIFtwTJ6NGNcOpURZx//j7kyPEnfvklsK+vMR/EX3EOFSmOShwEhqMyMjecra1vvfUW7rrrLnOW7h70ceCY22+/3eSH+9ICXqFCBezbty8qBz3htuEPIDuyMjjODtyGs2fPNtuVJz9t27ZFnjx5omodfU09uTQhAZPj49E4ORmzkpLguTSOFx3I+WhOHCt1DJNemYQ6DeugOq8dR9B6ZqdYWMfMrudnn8Vh0KAcyJ3bgSVLzuE8dgIMob4JCZgQH4/HkpLwWHJybH6Wp4G48xOQY2s8zjx1BnHDg9f4sHgxr47kgMMRhzlzzqFpU0e2HNt5hfnw4cNR+fsogacW8Chlj8a4ldfdADRo0MCkpaxYscIMFEM7d+405dzqs+eSF0xR4eSJPxBR+yORzevHKxSdOnXCzJkzTcdMtuZ26NDBBOPBFOrPkGMvTXaW9can8fHIy84Abo7vOo7EF53Lt/qK1WjdoTXKlSsXcesZDLGwjv6u5/XXO2uCT5sWh6FDEzFpkjNHPFQuBzABwA8JCXg6gYlWsfdZLloOvL7DgQ+5nqMSEXdXHFAk+9+XlXbZKZe3/fsDrVplT9gTrZ+bZB91wowCf//9NxbzFN/NmDFjTI4x6yQTOwKy9fAlt6HieL9EiRLo1q1b0Jc5lrFjbMeOHU3Qzfrt06dPd+XXx4rXrduHAJzv8Rwr92y+bzNyHsmJY+WOodrj1TIVfEvsYrD91lvO6krsY/7NN6Fdnl5Wa9dyAKFNiAkdVqX5JCkOy+BA3KE44H/BeV+mmkyfzgYl4LnngvOeIr5QAB4Gtm/fbgJo1vFOKx87PRz2/O6770adOnVw0UUXoVq1anj77bfNQDsVK1Z0VUr54osvTP72+eefbwaJ+fDDD8080ZzPHa7y5ctngnBequSw6gzCmRseC1YAmGMFJLd5PMcrNrN/no2qPzhL4yQ+k4giJYLQTCZRhxcBH3nEef/uu4FDh0K3LKxR5eztAHyP2MP+id9956yF/rDdDfU1qz5jNg+6c//9zvtDhwIhqLYrkialoITIsmXLzMiVP/30k0kFsTHlo127dhg0aBAuv/xyny5rVa1a1aQ0MIDfsGGDyetmkO35t6xJzYonHBSGo2SyVTzYqQ/yH+Z+Mwj/448/TPDN6ijt27c3aSrR7B3rlqMElrbusyvK6tWrTYpUnQl1kOt4LjhqO5Dr2tQpUCL+DFH/xRfO8QYefhh4883QDsrzm1WO0BozKGZMmwbs2wfkyOHAz+fiMCfBgdan4gD28c/Geu3vvw+sXu0cdGf48Ox7H5HMUAt4kPHyOoeBZ2oIO2uwyggD4nXr1mHJkiX4+uuvTev0I488grp16+L333/3+bWZYsJ0EuZ7pxW4sxThBRdcgC5duij4DgM84WIOOINudsTiiRTz8qPVCeZ8W/ftMrzsm8BOwwy+cx7LiVqTa5nH456Kg6lLKJJJTDt4+23nfd7+9VfoNmVva0waLsI2xJav2OkDwKBByShb9hjuT7JawT/goBXZ854sNvP44877rDFQuHD2vI9IZikAD7Lly5ebUfx27NiBL7/8EjfffLMpH8jgmYHzpZdeaoaMZynBV155xaQmSHRjrj6DcNZk55UJdszk/hGNvgZw2BqZurNVaYdXADZt2mSq87Rf2B4JxxIA9gv+b8wokUy74ALguuucnfBuucWZDhEKpd1GeY2lNBQW0hpvjUJ01VUO9Oq1waSg/Z6PZ98AHs2e933xRYBtGRp0R8KVAvAgY+szW705OEt6GIz07NkTzz77bNCWTUKHA8ww9ahs2bKmRZilCv/666+oqy1rp5/cwkonR4+aKzwcnIjr3752exT9xBrRlZemdXSSAGHfc6YhcJj60aNDm4YSa6NiTp7sHAKe/ahbt3agY8ctKFTIgaHHAQcbwsexbm5g33PbNuDll/8b/TLUgzGJeKOfuDDBHNhJkyaZVm92jmRQIrGFw9WzZjuvkNDmzZvNPsH+AtEwytpS6/J7vnPn0PWff0zwzVKM7ATcuXNnlPqkFHAcQGMrQVwkQDgA8MiR/6UjbN4cmk17mXX7B4C9MZZ+0q8fiwGw70sSbrghGSuZE1/GminA+dmPPQacPAm0bQv0Zu6PSBhSAB4GmHZw4YUX4p577jHVUL766itTx5vlBSW2sFoNO8syR58lItkavmbNGjNy5vr165HsZRCPSPHB6dO4fOVKvDVxItYvXowzZ86gaNGiJvgudLIQMMaa8WkrWVYkgFgbvH17jlgIDB7sTEkJNhbhaAJnNZCfEP2OHwd+slb0qqv+e/y225JNqcibdwDJ7K7Erk4BGgR0yRLg44//u/IRyvrvIulRAB4CBw4cMEG3jYE2K6GwE9qnn36KX3/91YxMyVreEpsYmDJdqU2bNqZuOHOlFy1aZMpIMj88kgawZSv3X4sWoenEibhi5UrkOnPGlGFs3LixqQJjRgJ9AcBJAC0A9Aj1Eks0YiD2zjscMAWYOBH4/vvQpqF8h+j388/OE54qVYBmzf57nBf5LrkE2AJgem23QQGy2L7Aw+J99zlvGfC34PFEJEwpAA8BphQ0a9YMCxcuNP9nLWiWobPLETI4X7t2rYazjXHsB8ABaFjZhpVx2FnTHsqe1VIOhbKwsQ+4T8+dO9ek0Wxevx65kpKwvUgRtGjVCt27dzf16pl2Y2oBv2X9kVq/JRvVquUcFZHuusuZmxyqAHyq1SE5FtJPGAx7tkSzLjcN+gdwsBruIisfPAs44ikLhzHn+/nns/ZaItlNAXgIsGWTo1AOGDAAw4YNM4PlsBpKzZo1UaFCBRQpUsQE5w+zcK3EPKalsEpOjx49zD7C/7NUIVvD58+fbwbyCRdsmd+9e7c5Qfjtt9/MwDp8bGOpUnimQwec69IFlSpUMOvgwh/K0wDaAugayqWXWMDDarVqAAsNMVc42Fhkk42+7NXxM6LX4cPOUSg900/cq9PUqwdsOQnMaW09yIGTzmZ90J0hQ5yt7iLhTAF4iDDvlXW/Wf2hYcOGpi44Uwt+/PFHLF261NRFLlWqVKgWT8IQW8BZqpKjnfJEjVi+j/nhbGlm6UqmewQbA2y+L99/6tSpJvhmEM4WfJ5cVujaFQ916IB1pUrhes9mMF6DHmvdV+u3BEHu3M5h6un114EFAa7A4Yu+MVAN5ccfnSUIedWBgbYnHgoYKNPNqwFHCQDrOXpO5t7vgw+AVauYvuc8yRIJdxoJM4SY+8qa31dffbVpAa9duzZGjRqF4uyyL5IGjl7KEzZ21OVJHAd3YkszJ2J+NU/eWFecEwdfCnTAffz4cdMKz2o9vHVvhWdaSZUqVczycVlvdbv0zt/YFJ61Wrw6uo3VLZLNunQBBgwAPv/cWSWDpfK8BYnZpY+160+yBqfKeLzj6Eo/sfEzYErQ6q3AshuBBu9bJUivBZDX9/diKpE96A5vixQJwAqIZDMF4CHEAUhY4YIpJ+x4+cEHH6BJkyZ47rnnMHDgwFAumkQAjp7ZqVMnE4CzxZkT7zM43rBhg5mocOHCroCc9wMdcBNTSthxtHTp0qhataoZ4ZOOAvjCmscOxF24eB+6tX6LBNGrrwJLlwIrVgDt2jmrdbBKSjA0tCqibALwK4BeiC779wO/WVVNrrwy7fnY/5qDI40YAdy7DpjKtJGNAEb7XpqQFVpZ4nD3bqBqVeD22wOzDiLZTQF4CLCUHEe8ZKoJA24GNLfffrsZ9bJv37649dZb8dlnn+Htt99G5co8TIt4xzQPXjHhVKdOHVMvfN++fa6A/PDhw6azJid27OX8NG3aNNNSzf8zeOZk33e/5b7Kqj2eAwLZATdLJTKw58kA06k8MfhmUkxNAB08n3yGiZsALrTyv0WCiBca//gDuPRSYNYs4MILgS+/BC6zi3VnozirFfwVKw0l2gJwjnzJnOyGDZ0pKOm54w7nqJW/zwI2PwdUYh74C9YZuzUuV1pY7eS224Bff3UG8198oUF3JHIoAA8Blh38559/zGS3FDIVZfTo0XjvvfdM57WPP/4YTz75JD766KNQLKJEqMTERJQpU8ZMdOrUKXOCZwfkdiDNwNwfvgbcnt51G/kyznNUnk+s+2r9lhBhqgKDt/79gR9+AC6/HHjzTeDWVJdrsicPnAH4BABnEL3pJxkpXx7o2xf45hvg6X+A9+uzVBiA//GHMf2/feYZZ+43+3R//TXQvHlgll8kGBSAhyj3m4EQgyAGM7zEzxKE7rm61113namSIpIV3KfYEZIT9zO2hM+YMcOUwWRQzRZuPu5+636fmLbia8DtbqFVWYynmNe5P/GlFZEnW01/qtUrIcSW02+/Be68E3j3XWeLKtMZWCElOwdxaQmgNIBdAGZE0WgxrKY7fXrG6SeeJQkZgH/+JfDKh0Ch/uwhy3ImjNC9/82HHzpHNaU33gAuvjhAKyASJArAQ6Bu3bro16+f6ajGwIh5u2xZZB54ig/Hz4BHJD1MKWGnSAbezAlna3l2ese6vZz56rxzCsA9AN62nuiQ+YoHIoHEQ+3bbwMsPMVWVQZ2DCQ5FhpL1WdXCTJmu7Agyw9xcVGThjJunDM1hIPg+JpB2aoV0LQpwKExxvwLPNIOwCyrQ6ZdJcnNlCnO3HFiJ06eNIlEGpUhDBHWAefQ4u+8844p3bZ8+XKU57U4kShwxGroJnM1n+XFWlvBNxv7HrFGIikZ2uUUsbER+umnna2pvM+AnJ37TvHEMZsH5fkpPh5JMZh+YuP2tgfmefMt4Nxz1hMfABhl9RVxG2qeKSvMMedF4ufseUUijALwIGMKgD0MPfN027dvj/r166ccmMQNq06IRJrPARy3BhxpyzG3mwBYzJ5vVu011mDTBR4JQ+wUyHQIjqbIzoQXXcTjdva8Fy8CsWLenrg4rClmrhNFtC1bgDlznAH1FVf497ecn1cgOEDSt9sAXGOlqQ0D0BTAXOfr9+gBcLiDjh3/y/8WiUTadUPQAZPVKj788ENT2i0tHG78yiuvxODBg4O6fCJZ5bDST3KeBr4YAsRdbjWJt7WC8G7axhLe2BmTtcELFgRmzgQ6dHAGhoHGJLBLrftzrY7TkYwnLsRyjuXK+fe3rEdglxB87TUAH1npJ0WtTtutgfkNgNM7mcbpPDniSZJIpFIAHoIRMN944w28/vrrJg+XdZyHDBliKp488MADJje8XLly6NWrlxmYR1VQJNLMZ5WVjcDsdkBDdqSiB1j7MO0OVSLhhi2sDL5LlwaWLQPatAHWrcu+NJR5ZcqYk9dYSz9xx1xudk2ZNw+Yz17cNwFYAyRda50YHQLWxQMzrwcKFwzccouEggLwEOjSpQsWLVqESZMmoWnTpli1ahW+//57zJo1y1SteP7557F9+3YTlLNiikgk+etHYFFjoNkC6/r6BKuubzQO9ydRjXWs//wTqFYN2LTJWebu3nudQ54HSleOXutwYF/evOiTkIB/EZn++YdXeJ2dVpmjnRlMQbGD99EcjIdZKMWAgWecF9BWxgPFkoGi97GZHcDywC2/SLApCzOE2rVrZyaRqHAWOPUQMITFjZl10hIo+DWAiqFeMJHMO+88ZxDeqxewYAHwyivOqXVr4KabnLnL+fNn/vVZfHZEcjLuiYvDz/Hxpm/yfdZAkPki6INjHW7q3BkoUSLzr8POmJ9+6kxnGTnSGYizZZ2VanZPBOow6H4SwJ8AGlmVlViOMAufgUgoqAVcRHzHa+R7eL3c6mn5tFXkm81T5YDcVvD98T1AgZkKviU6lCzp7Fw4cSLQu7ezlZf/HzQIKFvWOXAPg3OW38uM25KT8er06eiSnIzTAFjYgwNIMqZ1xEj6ia1JE2e6D2sVsLY3R8kkdrjs1M06O1lt1XBk6ZiXrN7e4yNoY4moBVwkyjisHyV7OudxexLIuzsvsNaa97Q1DN8Zt/vuj3HgzE2AuS7OaQOAo2m//ZHCwHX8obzMY+RLkQjHFtiePZ0Ta4R/8gnw3nvA+vXOAXw41a/vbBVnebyiGQyj7qnCsWP4OSkJv8THm0Zdfu2usip3sk9iPYSvFSuAlSud+duXMTDOIraC86rDIo7kxaJJzwLXsCqKrYIVcP8MYLC1sZj2wm3Ozp9l05lKKR1OwoNSUCR0WGIqp9uUK4Nb+z732gRryuHjrfuUw/v/4xCHSksqIX5rvDM4PZfBlGStg8Pt1pHGY5zirPeL92FKsoLfk2ncej5mL5Nz8Mo0JSIRXU3WaRaxM2XVlNPSqkDr2oAjH/Bh1t9BJGyxYMmDDwIPPAD88YczEOcANOysOWQIcP/9QJ8+zhKGDMpr13ZW+cgIDxG9rUJBbNgdwVEymYvO8ojWBSd2qwjX9JPu3TlybtZfj0F8hQrA1q3OAXcefjiNGXuytyyA5wGMBHDAmpZnsJFLWsH4y9bfi4SAAnAJnTP/tcqaKcRyIAcamp+6KMXzigQHkuKSkJA3AXG54lKf/Hjez+0l2K5iPe7hFet84HoOXx+K9RMJMta7ZolCTiyd98UXwNixwNKlwJdfOie79bxWLWcw7j4xfcXbKPTsev8YABb/uB/AtwDGMM3DijUHWefy4YBpN4FKP7Fxe02YAMyfD9xwg/dt5JLXGlfgQQCbAexwm7Z7/H+n9Zuz25qUsiIhpAA8jB04cABF/b2OGUlyWQdFz9SH9NIiTv+/vfsAj6Ja/wf+zaZAEgKhQ0KoUkV6lSodroooekVFuKKiIEpRFBBEr4BeRa8F+aOgiOJFsaDyBwEpgqDSkSK9hSZNICGUlPk978lM3CSbZJPs7uzOfD/Ps8+WTLLnzGR33zn7nvfkkFqR9dq47XzfVWqG0/20lDT8efZPlI8tD0eYI/3VkdvFGK0OcrrOetv5vjEq7s7FoX+whOvXzrezXhfVK4zk9S1AEJCSnIJFixahV69eHl2KXnanrLcj9BWiiWylZElg6ND0hXwkdUKCcakKIqPif/2VnqYhF3ncIGvvSCBev74DqalVEB4ehJo100d/JQitIrW19QqeT0oVEP31JWkpHwOoD/NJXyUNRwp2Sc62pzRsmH5xW5S+Q3LbKfLeesYpILfweAv5Pwbgfujo0aOYMGEC/vrrL3z77bewLAlK/WjtidTkVKxftF4Fp45Qzk/OD5kTdVn/DGzptSNE5P9ktFYmEsrFGCE+fjw9EJeRcbmWy549wLlzwMqVcpEz5EZ4773035FJnpUrA9WqpVdhketnqwFbqgMzqwGbywJ3BAFSDdHstWiM0W+pElOYajA+4dBzwMvrFVSITMQA3CSHDh3C008/reqByyj3888/j969e2PSpEmqDnjVqlXx3//+16zmEeXLJv1aPtN46kKUOSCvVCn9IsuoG65eBf74Iz0o37o1FWvWnEViYjkcORKEa9fkMyL9skKGv7MIigQOxAI3xgDNK6bnpDtfJLVFrmUlz1zTNwopLe3v/G9PpZ8Q2QUDcBOkpaWpYPv69etqxcsjR46oFTDvvvtuLF26FG+99RYGDRqEYBkGIQqgALyZye0gChRFiwKNG6dfkpPTsGjRr+rbt+DgUFVlRYLvgwf/DsSN2zKarsnXTXuB/XLJ5TkkLUQCcVnNU1JkJKPR+Tqnx9xd4l1WrJSJklFR6RMwich9DMBNsHv3bvz55584ePAgIiPTl1oYMWIEPvjgA2zfvh3V5PtGogAMwPVv3YmogBwOIDY2/dJW6utnIaPjB44APU4A8SeBzieBxieBEyfSyyMal4sXgStX0gN3ueSH5J9L8C4nCbldG39XaqNz0Wai/GEAboL4+Hg0atQoI/gWsiImg28KRDIBc6t+mwE4kXdJOcN6tYB3awG99QUhP9JLYztLSgJOnUoPxv/8M30iqFzOn89+27i+cCE9Z10WwUlISL+44777vNFTImtjAG6C5OTkbBUowsLCUFSGFYgCcALmFX0CZk2zG0NkE1JwpB2ANQAm6EG4s4iI9AmccslPTreMnEvwLqPnkqfufO3qMUlv6S6Fy4koXxiAm2TDhg0q/9tw+vRplQvu/FiLFi1UNRQif8YJmES+F6Qv1tNSL0koq2c28ED6i5EHTkTexQDcBBUrVlQpJ84qV66sLllHxYn8HSdgEpmjBYB79FrhowH8wANBFDAYgJugadOm+FLWLSayAE7AJDKPrIz5DYAlAJYB6MqDQRQQWLKXiAqMEzCJzFUDwBD99mh9sUci8n8MwE2wdu1atQiPYdeuXaoEobMff/wR/fv3N6F1RO7jBEwi840HUEKvRjTX7MYQkVsYgJtAlpiXWuAGqQeedcn5q1evqu2I/BknYBKZrzSAMfrtcXpVIiLybwzAiajAOAGTyD88qdcCjwfwjtmNIaI8MQAnogLjBEwi/xAO4GWniZnnTG4PEeWOATgRFQgnYBL5l/sBNARw0SkYJyL/xDKEfrAQj6tFeOSxcuXKmdU8ojxxAiaRfwkG8BqAbgCmARgGIB8LYRKRDzEA94OFeFwtwiP3mzVrZkLriNzDCZhE/qerHoAvBTAWwDyzG0RELjEANwEX4iErYP43kX/6j74oz+cARuorZhKRf2EOOBEVCCugEPknyQN/UL/9DADN5PYQUXYMwE105coVnD17NtMCPRMmTMDbb7+NM2fOmNk0olxxAiaRf/s3gKIAVgNYaHZjiCgbBuAmmT59OkqUKIGyZcvi8ccfx7x589C2bVu88847GDlyJJo0aYLz58+b1TyiXHECJpF/k5rgw52WqJeTZiLyHwzATXDhwgW1FP3EiRPx9ddfq2Xnn3vuOXUtq19KBZSYmJhsy9Pn5uLFi3j//fcxfPhwTJo0KdNKm85+/vlnPPPMMxgxYgSWLFniwV6RnXACJpH/ew5AKQDyabDC7MYQUSYMwE2wc+dO1K5dG2PHjkWfPn1UQCwBd+fOndXPS5UqpUbFd+zY4dbfW79+PRo2bIhNmzahWrVqqqSh3P/ss88ybTdjxgx06dJF3S5WrBj69u2Ll156yQs9JKvjBEwi/1cCgFHcdo3JbSGizFgFxaQRcAm4DXJbgm5nZcqUUdu5Iy4uDr///juKFy+e8VhUVBRGjx6N++67T91PTExUgf7kyZNViouoVasWBg0apC6xsbEe6h3ZASdgEgWGtgDmMAAn8jscATeBpmke3U7qijsH30JG2GWCZ1pamrq/atUqJCQkoF+/fhnb3HXXXQgKCsIPP/yQr/aTvXECJlHgMFac+A3AdZPbQkR/4wi4BVfCTE1NxaxZs9ChQwc4HOnnWPv370eRIkVUsG6IiIhA+fLl1c9cuXbtmroYLl26pK6Tk5PVxWqMPlmxb57s43ap4BMaiihNQ9WUFPjj3uKxtA4ey8KRlTBLh4TgXFAQfktJQSs3B3a8wcrH0op9Iu9iAG7BlTBlguWePXtUkO9c8lDyvrOSVBX5mStTpkzBiy++mO3xpUuXquDdqpYtkyUsrK0wfVweFwc0aYLK587hh7Vr4c94LK2Dx7LgarRogXMVK2LWnj04n8OAiy9Z8VgmJSWZ3QQKMAzALbYS5rhx4zB79mwVJNesWTPjcUlRkUopktYiaScGKXWYNX3FMGbMmIx8cWMEXPLNu3XrluPvBPoIhnwwdO3aFaGhobAiT/Rxqf6tSpeSJdGrVy/4Ix5L6+CxLLw9DgfWAzhXty561aoFs1j5WBrfEBO5iwG4hYwfP17VEZec7latWmX6Wf369ZGSkoK9e/eq/HAhi/1Iqov8zBVJWZFLVvLGabU3Tzv1r7B93KJfNw8ORmhwMPwZj6V18FgWXAf9ep3DgWCHw/TJX1Y8llbrD3mf2a9D8pAXXngBb731lgq+b7755mw/b9OmjRq9lgDdMG3aNDWS3aNHDx4HyvcEzIIlSBGRrzUGEC7feOo1wYnIfBwBt4CFCxeqet6SM/7hhx+qi+GNN95QQXZISAjmzJmDO+64Q5UslJHtdevW4ZNPPrFkOgl5h3x4y4yBKAB/JzgRkT8LAyDfia6UxdgA1DO7QUTEANwKJKUkp1Uznb8W69ixIw4cOICVK1eqdBQJyJ2rohDlZaPTiBq/PiMKrHrgK/UFeR41uzFExADcCmSypfOEy9yULl1arYBJVBBcAZMoMBl1t2QEnIjMx0EsInIbA3CiwNRK/8A/DOCY2Y0hIgbgROQeTsAkClwyb6ORfpuj4ETm4wg4EbmFEzCJAhvTUIj8BwNwInILJ2ASBf5ETOgTMYnIXAzAicgtzP8mskYAvh3ABZPbQmR3DMCJyC0MwIkCWwUANwDQAPxidmOIbI4BOBHliRMwiayBaShE/oEBOBHliRMwiayBEzGJ/AMDcCLKEydgEllrBHw9gGsmt4XIzhiAE1GemP9NZA2yZnI5Pfg2TqyJyPcYgBNRnhiAE1lDkNMoOBfkITIPA3AicnsCZlPuK6KAx4mYROZjAE5Ebk3ALAagFvcVkWUC8LUA0kxuC5FdMQAnIrfST5rwDYPIEhoDiNQX49lldmOIbIoBOBHlypioxfQTImsIAdBKv81l6YnMwQCciHLFCZhE1sN64ETmYgBORDniBEwia+JETCJzMQAnohxxAiaRNbUEEAwgHsBRsxtDZEMMwIkoR5yASWRNxfSJ1YL1wIl8jwE4EeWIEzCJrItpKETmYQBORDniBEwi6+KKmETmYQBORC5xAiaRPQLwHQD+MrktRHbDAJyIXOIETCJrK+e0uq2siklEvsMAnIhc4gRMIutjPXAiczAAJyKXmP9NZH2ciElkDgbgROQSK6AQ2ScA3wDgisltIbKTELMbQET+hxMw3ZOWlobr16/DDMnJyQgJCcHVq1eRmppqShtCQ0MRHCzLuVCgqgGgAoBT+km3kZJCRN7FAJyIsuEEzLxJ4H3o0CEVhJtB0zRUqFAB8fHxCAoKglmio6NVO8xsAxVckD4K/iWANQzAiXyGATgR5Zj/3Zh5ajkGvydPnlSjv3FxcXA4fJ/NJ4F/YmIiihUrZsrzyz5ISkrC6dOn1f2KFSv6vA3kGUYAzhUxiXyHATgRZcMJmLlLSUlRwWdMTAwiIiJMTX8pWrSoKQG4CA8PV9cShJcrV47pKAHKSDtZB0CSmZhUROR9nIRJRNkwAM+dkXMdFhZm+/8e4wREctIpMDUAUAzARX1RHiLyPgbgRJSJhJZb9dtNuW9yxbxn7gOrfBV+s36baShEvsEAnIiyTcBMAhDptEoeEVkb64ET+RZzwIkoxwmYzAW1lhMnTmRMmpQShrGxsShZsmS27aS04Z49e1SOe9myZU1oKZkZgGt6dRQi8h6OgBNRJsz/tq433ngDrVu3xsCBA9GvXz8VgLdt2xYHDx7MCNBHjRqF6tWro2nTppg7d67ZTSYfaamPyJ0AcIR7ncjrGIATUSYMwK2tRo0a2Lp1K7Zv365qiF+6dAmDBg1SP9u2bZsqJyg/k/reZB8RTnM+ZBSciLyLATgRZZqAuUW/zQmY1le6dGk88MADWLdunars0rNnTzz99NPqcbJvOUJOxCTyPuaAE1GGPU4TMGtzv7hN0/ebL8n6m5cBRBXy75w9e1Yt5sMl5UkC8NcBrOKuIPI6BuBElC39pBEnYOZLkl5H2adk8Z3oaFxKS8tXEC4TLCUFRUa8N27ciOnTp2Pw4MFebCgFivb61+J7ARwHEGt2g4gsjAE4EWULwJtxn1jW8ePH1SRMGfGWKidTp07FQw89ZHazyA9E66lnGwCsANDf7AYRWRgDcCLKwAmYBZ/AlmjCUvQygTKiePECTcIkcqUTA3Ain2AATkQKJ2AWXJCeN+/rHHA5ZqzXTJ4OwF8FsJz1wIm8igE4ESl79Ul9nIBpX1euXFEL8AjJEZd0FRktL1GiBKpVq2Z288hHC/KEAogHcADADdzrRF7BAJyIlI36fuAETOuShXfq1KmT48+PHj2q8sNFlSpVsGzZMnW55ZZb8Oabb/qwpWRmOlVrAKv1UXAG4ETewQCciBTmf1vfiBEj1CUntWvXZn44obMegMtETNbHIfIOLsRDRAoDcCIy8sDFSn2uARF5HkfALUTyNT/99FMkJSXhxRdfdLnNzp07sXDhQqSkpKB79+5o1owF54gTMInoby30VJQzAHYAaMCdQ+RxHAG3CKnje/PNN2PRokWqrq8r8+bNQ5MmTbB7924cO3YM7dq1wzvvvOPztpL/TsCUD92cM4SJyA7C9EV5oKehEJHnMQC3iP79++PAgQPo169fjtUNhg4diueffx4fffSRWv3ujTfewOjRo3H69Gmft5f8C1fAJCJXaSgyEZOIPI8BuEVIlYKQkJwzin766SecP38eAwYMyHjsgQceUKXGFi9e7KNWkr9i/jcRuQrAfwKQwl1D5HHMAbeJvXv3IjQ0FJUrV854LCoqCuXKlVM/c+XatWvqYpBV90RycrK6WI3RJyv2La8+bgwOBhwONExJQbKmIdB5+1jK39U0Ta1GKRczyPMb12a1QchzSxtkn8jy9p5m59elmW4EUDIkBH8FBeG3lBS08MD7gj/201Os2CfyLgbgNnH58mUUd7FktSywIT9zZcqUKS4ncy5duhQREZItbE1S99jqnPsoodvGf/xDBeCXV6/GooQEWIW3jqV821ShQgUkJibi+vXrMFOCycdL+i8pbqtXr1aTu73Fbq9Lf1C7eXP8GhOD6Xv34uy+fZbtpydI8QOi/GAAbhPFihXDxYsXsz1+4cIF9TNXxowZg5EjR2YaAY+Li0O3bt1cBvNWGMGQD4auXbuqbwusyFUfdwO4GhKCcE3DI+3aWeJNwdvH8urVq4iPj1evnaJFi8IMMuoswbd8kxUUZN6C9LIvwsPD0b59e6/sC7u+Lv3BEYcDvwI4WacOetWsadl+eoLxDTGRu6zwWUtuqFu3rhqdOnjwIKpXr54RfMsETPmZK0WKFFGXrOSN02pvnnbqX9Y+/q4/1igoCOEW67e3jqXMnZCg1+FwqIsZjLQTox1mkeeWNnj7dWO316U/6Kpfr3M4kOpwoKhF++kJVusPeR8nYdqEjE5JvvcHH3yQ8disWbNUgN2zZ09T20bm4gRMInJFSpJWlG85APzCXUTkURwBt4i5c+di+/btahlpycl87rnn1OPDhg1DbGwswsLCMHPmTNxzzz3Ys2ePCry/+eYbVY6wVKlSZjefTMQA3D5eeuklvPfeexl57PLecNttt2HUqFEqjeTUqVN488038eOPP6qc1kaNGmH8+PGoV6+e2U0nEwTp1VDm6vXAb+FRIPIYBuAWERkZiejoaHTs2FFdDM5VCeSDVhbhkbKDko4yceJE1K5d26QWkz+QJIYt+u2mJreFfJOnKu8Tq1atUmk069evx6BBg1Q++4wZMzBw4EB07twZ77//vppo/corr6BNmzbYsmULqlatykNkQ0YALvXA/212Y4gshAG4Rdxxxx1ubVelShU89thjXm8PBQapayA1NMJlnoDZjSGfMCq4iD59+mDz5s1qRVwJwGUlXed88g8//BClS5fGggULMHz4cB4hG+qsX6/X3yuiTG4PkVUwACeyMSP9pCHfDApdkURGlH09CVO+yTLqgRfm2zOp9y9/L+tkTqlaIf2SFDaypyoAZNr+QQBrAPQyu0FEFsEAnMjGmP/tGRKkfv311zDr26+CLoBz+PBhNRm7U6dOLiupvPzyy+q6d+/ehW4nBXYaykE9DYUBOJFnsAoKkY0xALcfmYQtKShly5ZFnTp1cNNNN2WqjmT45JNP8Oqrr+Kjjz5SkzXJvow0FJmISUSewRFwIhtPwNys325mclsCnYxA33nnnT59TkkZkUmV+R39rlGjhpqEKb9XpkwZl4v4zJs3T03OlNHxvn37erDVFIiM6idbAZwFUMbk9hBZAQNwIpviBEzPkSBWJjf6OgCX58zvKpjOkzBd+eKLLzBgwAA1Kv7ggw96oKUU6MoDqA9gB4BVAHhKRlR4TEEhsilOwKSsvvrqK/Tv31+VIZQgnMg5D1wwDYXIMxiAE9kU878pqxEjRqiR9WeffVaNkhuXsWPHcmfZnBGAy0RMIio8pqAQ2RQDcPt54YUXMGbMmBx/vmnTJpflFKVUIdlbB33Ebi+AYwAqmd0gogDHAJzI5hMwuQKmfURF5b6MilRGIXIlWn+v2ABgJYD+3E1EhcIUFCIb2q+valcUQD2zG0NEAVWOkGkoRIXHAJzIhjbrlTO4AiYRFWQiZuHWXyUiBuBENrRFD8CZfkJE7moDIAxAvP4tGhEVHANwIhuPgDMAJyJ3RQBord9mOUKiwmEATmTDCZgcASeigmA9cCLPYABOZDOnIiNxKSgIRTgBk4gKOBFzhX4yT0QFwwCcyGYOREdnTMAMNbsxRBRQmktdeABn9aXpiahgGIAT2cyBEiXUNfO/iSi/ZBJmO/02yxESFRwDcCKbjoAzACeiwqahEFHBcCVMIhuR2r0MwO3r888/x+LFi9XtkJAQxMbG4tZbb0Xz5pJYkG7nzp345ptvcPLkSVSvXh0PPPAAypcvb2KryV8nYv4EIIWBBFGBcAScyEYOAEgKDUURTcONZjeGfG7Dhg348ccf0bFjR7Ru3RqnTp1S1zNmzFA/f++99/DQQw8hNTUV9erVw/Lly1G7dm3s2MFsX/qbzB8pqa+mu5E7hqhAOAJOZMP63zdpGkL122Qv0dHRGDhwoLo9aNAgFWz/+9//xuDBg3HbbbdhyJAhGdvK7Tp16mD27Nl4/fXXTWw1+ZNgALcA+FpPQ2lldoOIAhBHwIlsGIA30biQNKWrW7euGgmXQDwuLi7Tbrl8+TIuXbqEmJgY7i7KhPXAiQqHI+BENsIA3DvkfCYpCT6VliYBMhAVVZi/kYalS5eqIDw4WMY1gYsXL+Kpp57ClStXsH79egwYMABPPPGE5xpOlpqIuRbAVQBFTW4PUaBhAE5kExIfbtJHwBtzBNyz+zYJKFYMJnyBGY1Ll9LyFYQfP35cpaDIiPfmzZtx5swZfPXVVxk/DwsLUzniCQkJKhifP3++2l5SUYgMtQHI9yInACwCcCd3DVG+MAWFyCZmyaSpoCCUv3wZDcxuDJkmMjJSBdjdunXD22+/jYMHD6JdO6OyMxAeHq4C7mHDhuGHH35QaSnPPvssjxhlIqfyA/TbL+sVlojIfRwBJ7KB6wBe02/32b8fwfXqmdwia4mIABITffuckj4i+dkREcULPAnTHQ0aNMCKFaz4TNmNBPAOgC0AvgdwO3cSkdsYgBPZwGcA4gFU0DR0OnoUYADuUZLZEynrc/s4Bzw1Nf25PWXBggW4/fbb4XCkfzl67tw5LFy4EF26dPHck5BllAEwDMAUABMB3KaPjBNR3piCQmRxqQBe0W8/lZaGMInciHKoEy653n369FElCWvUqIFatWphyhQJsYhcj4IXcxoFJyL3cAScyOIWANijpusBj6alYY3ZDSLT3HvvvZnyvbOaNGmSyv2WQFzTNEydOlUF4EQ54Sg4UcEwACeyMJkYZYxdylfFhahYRxbQrFkzdclNhQoV1Og3kbuYC06Uf0xBIbKwZVJ6UCYJAnjS7MYQkaVHwaHngrMiClHeGIATWZgx+v2o/iFJROQNzAUnyh8G4EQW9QuAVQBCAYwyuzFEZGkcBSfKHwbgRBYf/X4QQCWT20JE1sdRcCL3MQAnsqDtekkwqck72uzGEJEtcBScyH0MwIksyKj73RcAi8gRka9wFJzIPQzAiSzmIIB5+u0xJreFiOyFo+BE7mEATmQx/5FlygH0ANDY7MYQke1wFJwobwzAiSzkJICP9NtjTW4LEdkTR8GJ8saVMIks5A0A1wG0AZDzguNkV1u3bsXu3bvV7ZCQEMTGxqJx48YoWrRotm2vXLmC7777DmXLlkWnTp1MaC1ZZXXMhQC4tipRZgzAiSziPID/p99m7je58umnn2LmzJno0aMHUlNTsWXLFly7dg1ffvklWrZsmWnbJ598EnPmzEHr1q0ZgFOBR8Gn6Ktj3sp9SJQJU1CILOJdAIkAGgDoZXZjyG9VqlQJ8+bNw/z589Vo+A033IDHHnss0zZffPEFNm3ahLvuusu0dpJ1csE366PgRPQ3BuBEFnAZwNtOo99S/5soL5KGcuutt2L79u1qRFwcOnQITz31FObOnYuwsDDuRCow5oIT5YwpKEQW8AGAcwBuAHC32Y2xIw1Ako+fM00/84oq3J/Zt28fypUrh+DgYCQnJ6Nfv34YP3486tat66mWko0ZueAyCv7/g4I46kekYwBOFOCuAXhdvy2rXgab3B5bStK/a/chBxyIRjTSLqXlKwi/ePGiSkGREe+NGzdi1qxZeP319P+g559/HmXKlMGQIUO813CybS74v4ODMcHsBhH5CQbgRAHuUwDHAcQAeNDsxpDfS0hIwIIFC9SId0xMDJYvX4727dtj165dmDp1Kt544w0VoBvpKGfOnFH3u3fvjpIlS5rdfArkiihBQVgXE4N/mN0gIj/AANxmjh07hiVLliAlJQWdO3dWE7AocEnW7qv67VEAipjcHtuK0GfA+lBaWhouXbqE4hHFCzQJMysJyPv27Yt169ZlPHb06FFcvnxZBewtWrRgAE6FHgV/rXlz/JyWhkEA7il8BhVRwGIAbiOLFi3C3XffrUqKSd3f4cOHY8aMGXjwQY6bBhJJ/d0KYIleWWAfgFIAHjW7YXYms14jTfhHSPXcjNvatWtnC8wHDhyIw4cPuwzYifLjOQB70tKwAMAvDgd+kVKXehD+EIC2nDxONsMqKDZx/fp1DBo0CEOHDsX333+vSpC99NJL6v5ff/1ldvMoD6cBzAXQH0BFAE31lS6NscqXfZ+CTETkNvmeZl5qKmYuXYrJqamorU+dmA2gPYBaACbr6XREdsAA3CbWrFmDU6dOYfDgwRmPPfzww7h69SoWL15satsou2QAqwGM04Pt8gAe0PO9T+uDrbcDmAZgP4DHuRPJDbLqZc+ePd3eV7I4D1fBJE8qde0ank5Lwx8A1srnkD54sF9/v6usr2PwpT7BnMiqmIJiE3/88Yeq+VujRo2Mx2RClZQfk5+5IivkycUg+aZCSpXJpbBSAHQJ9p+aHZrDgQtt2+JVhwNBaWme/dv6xZ3bWlCQ+jBKCMqcW9BQ09A1LQ3dNQ2tNQ3OFZrdPRrGcfPE8fNn3u6n/F1N01QetlzMIM9vXLvbBikxKBd3tzdO2HPbXn4mbZB9InnknmaH/1k79NFVP5vrl9cAfBUUhI8dDqxxOCBDQnIJ1jQ1ryVUD1ZCnW4bF3Vf09R1fkcUX01LQyv9deSpvhG5iwG4jSoflChRItvj0dHR6meuTJkyBS+++GK2x5cuXYqICJl1VjgpMiP+dhnH9SOlS8NfFL92DY1On0bjM2fUdUn9ZEhKP/9YyL+9bNky2IG3+iknsxUqVEBiYqJK7zJTTq9fX5H+X7lyBatXr1aTu73FDv+zduhjTv0so08k7xcZiRWVK2NFXBzOh4e7V14/y2CF2+347TecPy3fKRZeUpKvFwKgQMcA3CYkYHb1QS01gSMjXc8eGzNmDEaOlAJSf4+Ax8XFoVu3bihePH+VF1yRMbUvvPiBnV9SF3nbtm1o2LChV0bygpyug/J4rLymoZHDAUeFCoBcPERGaeTDr2vXrggNlTEja/J2PyV1Kz4+HsWKFVMTms0go87ymo6KikJQAQMQT+2L8PBwVcrQG/vCDv+zduhjfvr5sD6/+KR826p/W5qsX+Tx5KCgTI8Zt/M7lt2qWTOV3ucJxjfERO5iAG4TUuFARqokaJAgWsjo3enTp1GzZk2Xv1OkSBF1yUreOD31IeFPqzYmaxrCT55Er8aNERpi7ZeGJ4+hHfspJ2sS9DrkJMlhzlQaIy3EaIdZ5LmlDd7+n7LD/6wd+uhuP+Wn1RA47HDcyLM4CdMmOnTooNJN5syZk/HY3Llz1YdnfiZlEREREVHhWHuYjzLIV8TvvvsuHnroIRw5ckSNbMsS1JLnXb68p76EIyIiIqK8MAC3kfvvvx/169dXdcBlstSKFSvQqlUrs5tFFLCMSiR2xn1ARJR/DMBtRiYYyoWICs6YpCvzKuTbJTszqj8wB5aIyH0MwImIClCGUCoLnTlzRgWeZkyClEmYcgIgVUjMeH4Z+ZbgWyZyy/wSb1QOIiKyKgbgRET5JFU/KlasiEOHDqk5FWaQAFjqb8sIvJllCCX4lproRETkPgbgREQFEBYWpkp4mrUQj9RUlsVvpP62Wekf8rwc+SYiyj8G4EREBSSpH2YtxCOBr0ymludn/jURUWBhHXAiIiIiIh9iAE5ERERE5ENMQaF81/u9dOmSJfea5NRKVQfpn1W/0rdDH+3STzv00S79tEMfrd5P43ORdfHJXQzAyW0JCQnqOi4ujnuNiIjIxedkiRIluF8oT0EaT9coH3WHT5w4gaioKFPLnnlzBENOLuLj41G8eHFYkR36aJd+2qGPdumnHfpo9X5KKCXBd0xMjCl1+SnwcASc3CZvKpUqVbL8HpMPBqt9ONixj3bppx36aJd+2qGPVu4nR74pP3iaRkRERETkQwzAiYiIiIh8iAE4ka5IkSJ44YUX1LVV2aGPdumnHfpol37aoY926ieROzgJk4iIiIjIhzgCTkRERETkQwzAiYiIiIh8iAE4EREREZEPsQ442daFCxewc+dO1KhRAxUqVMj0M1lw6ODBg5kek8WH2rRpk+3vnD59GkeOHEGVKlVQrlw5+JsdO3YgMTERrVq1ynGBpV27diE1NRX169dHcHBwgbbxFxs3bsTVq1czPSb166tWrZpt4QzpU0pKCm688UaEhATO26G0/Y8//sD169fV8QiktruyZcsWXL58OdNjFStWVK/NrKTfcnyl34GwnPm+ffvw559/4uabb85xgZY9e/ao/kufwsLCCryNWa5du4ZNmzap99Hq1atn+tnFixexffv2bL/TtGlThIeHZ1uoZ+/evep9tHLlyl5vN5GpZCVMIjs5cOCANmjQIK1ixYqaw+HQpk+fnm2bN998U4uIiNDatGmTcenQoUO27YYPH64VKVJEq1evnrqW+/7i448/1po0aaKVLFlSK1GihMttdu7cqd1www1ahQoVtNjYWK1y5crahg0b8r2NP6lSpYpqr/Oxe/fddzNts2fPHq1OnTpauXLltLi4ONWvdevWaYFg37596v+tbNmy6ljI//HPP/+sBbIbb7xRq1atWqZj9tprr2Xa5vDhw1qDBg20MmXKaFWrVtXKly+vrVy5UvNX3377rdauXTv1+pOP2oSEhGzbHDt2TGvcuLFWqlQp1X/p25IlS/K9jVnOnTunPfPMM1pMTIx6vxw6dGi2bZYtW6b673xs5XLkyJFM202bNk0LDw9Xr0v5W71799aSkpJ82Bsi32IATrazaNEi7f3339cSExO1yMjIHANwCQpyM3v2bPVBsXXrVnV/8+bN6gNEAl9/MHbsWG3jxo3aO++84zIAT01NVX3s27evlpaWph4bMGCACmCvXbvm9jb+Rtr2wQcf5LqNBDS33XablpKSou4PHjxYBRFXrlzR/F3z5s21Xr16ZbRdgh45Obp8+bIWqOR/TF5zuWnbtq3WuXNn7fr16+r+qFGjtNKlS2sXL17U/NHkyZO1VatWad98802OAXiXLl1UkH716lV1f9y4ceq1KoFtfrYxy++//6698sor2unTp7WWLVvmGoDnRk7og4KCtK+//lrdP3nypFapUiUV3BNZFQNwsrXcAnAZidm2bZu2a9eujA99Z+3bt9fuvffeTI9JoOpqpNxMOQXgMuIrH4zGCYTYv3+/emzx4sVub+OPAbgEBfKhfurUqWw/lxMlaf+vv/6a8Vh8fLwKACRY8mcS8EjbnUe8T5w4ob7JmT9/vhbIAfiECRO09evXq/5ktXfvXtXvH3/8MeOxs2fPaiEhIdonn3yi+bOcAvCjR4+qxxcuXJjxmJxMyDdpxgmkO9v4i7wC8N27d6v3U1ej2kOGDNHq16+f6bGJEyeq0X7jxJ/IajgJkygHknN57733onv37ihbtiw++OCDbHmrksforEWLFurxQCDtlNzhBg0aZDwmObelSpXK6IM72/ijSZMm4eGHH1Ztbd++faZ8fqPdTZo0yZQjLjnH/twnYbTP+f9O2i3t9/e252Xq1Kl45JFHUKtWLbRs2RK7d+/Otd+lS5dW+caB2m9XfSpevDhq166d6fWX1zaBomfPnujbty9KliyJsWPHqnkMeb2Xnj17FseOHTOhtUTeF9gzd4gA9QZ9+PDhXPeFTLKTN353ScApk4FuuOEGdV+C78GDB6uArlOnTmriXkJCggoCnMl9mUgkkxU9PVHx119/Vc+bk8jISDRu3Njtv3f+/HkVSMvk0qx9kJ+5u423rV+/Xk02zIlM5HL+8JaV9h544AE1Qe/cuXPo06cP7r77bvV35JhIuyWIyTqBz5d9KihpX0REBIoWLRpwbc/NM888o052ZYVEmbQnx+vOO+/E1q1b1YRD6ZscuxIlSlim30a7Xb2HOL/+8trG35UvXx5r165Vk1DFqlWr0KNHD3XiOGzYMPWY9MVVH42fxcXFmdByIu9iAE4B76effsL06dNz3eY///lPxgeAOyTIdiYjczNmzMDnn3+ufibBgFQ0yFpt48qVK+pxb1QJefHFF1XQnxMZDZwzZ47bf08C0KztN/pgVFlwZxtfjGZLIJ0TGf2dN29exv1//etfmT7EJ0+ejHbt2qkTqrp16/pFnwpK2i4VJ2T00PmkKBDanpsBAwZk3JYgW16vcjK5bds2NG/eXPVbTmqTk5Mz9TOQ+22cAMr/ovPJYNbXX17b+Lubbrop0/2OHTuqky15zRoBuKvXpPRRBEo/ifKLATgFvPvvv19dfDGSc/z4cXVbgh8ZlTHuG+S+t8pnLV682KN/T8omymi9BPVRUVHqMRlpPnPmTEYf3NnG27799ttCHzfj2EgALn2SPsjX22XKlFE/k+BOSsX5e+kzabvRVqN0ppSIPHXqlN+3vaDHTAJw6bdRHtS5nKTcD9R+G32SPtapUyfjcbnfpUsXt7cJ1OMrI+EG6aer91LjfZbIipgDTuRC1prE8rW4pDBIDV5D165dsXDhwoxcRrn+/vvv1eOB4JZbblH53dJmw5IlS1Rwany4u7ONPx83sXTpUvWthATfQnLCZVTtu+++y9hmxYoV6iTD34+djORLmoZz2+UbIKlp7+9tz0lSUlKmfGDjmBmpY6J169Yqxcq537/88ouqwR+o/ZYTCxntd+6T5ELHx8dn9Mmdbfxd1teknDAuX74823upvAadt5UTb1m7oFixYj5tL5GvcAScbEcCLflq2/gwOHDgAH7++Wc10VImN4levXqhc+fOaNasmQpuZIKY5N4OHz484++MGTNG5R4PHDhQTS6aP3++ykd/7rnn4A9kwRJJ3ZAJiDJqKn0U8tW+BDMyCjVixAg8+eSTKq1BvgYePXq0SrcxFkBxZxt/IkGZpKz0798fsbGxKm/+1VdfxahRo9R9ITntzz77rHpMjr8cV7n/4IMPol69evBnEozJBDbJmZbRQQlO5P/tvvvuyzRRNpDIa1H6I68jGc2WhZSmTJmCxx9/HDVr1lTbyP/rhAkTVN/l5Enmc4wbN07l98tkPX8krzsZoZfXofG/KfMVjPkociL10ksvqeMn/4PyWhs/frx675GTROHONmaS18+6desy3ldPnjyp3mec56M88cQTiI6ORocOHdSJ1qxZs9QEd0npM8iE6WnTpqF3794qLeW3337D119/nXEiRmRFQVIKxexGEPmSrH746KOPZntcRnQnTpyobkvahXwgyIeLfAhKoC0fJEYahkEqNbz++uvqw1ZysJ9++ulMXxWbSYKV1atXZ3t89uzZGZNL5QN05syZarRJbssHuwQ+zisrurONP5FvKuRDXibmytfX//znP7ONFsrbnuyHr776Sk1slUo3cnwDYWVFYbRdvono1q2bCloCOVdWRnVlovP+/ftVTr9MwLz11luzbTd37lw1D0NOBmUuhpwQy+vTH7355pvqGOU1H0X687///U99EyBB6siRI7OtEOnONmaQPG1XI/HO81Ekb//DDz/EsmXL1P+rnIDICb1MwnQm32a88sor6oRMVsIcMmSI+saHyKoYgBMRERER+RBzwImIiIiIfIgBOBERERGRDzEAJyIiIiLyIQbgREREREQ+xACciIiIiMiHGIATEREREfkQA3AiIiIiIh9iAE5ElMciMWvWrLHcPvJkv3766SccOnQI/kIW0JLVFomI/JV/LmVHRLa3Y8cOdTEUL15cLRVftWpVn+6bjz/+WK3Q6MtV+WQZbll2vnPnzn7fr3379uHuu+/OWHLd+bjJaqnSD1kdVlYl9ZUzZ87gscceUycZwcHBPnteIiJ3cQSciPzSl19+iUGDBmHBggXq8tZbb6Fu3bp4/PHHfdqOJk2aoH379j57vo0bN+Kuu+5SS7FfuHAB/m78+PH417/+hdKlS2c7bvPnz1dLrzdo0ACNGzfGqlWrfNKm3r17IyUlBZ999plPno+IKL84Ak5Efqts2bKYN29exv0lS5agR48eeOSRR1Rg7ExGXWVEt1KlSirYcx75lNHZbdu2qdsyIlu/fv1sI7IbNmxQQdtNN92kUhiuX7+ugmC5X61atWzbNWzYEFu3bkVCQgJatGiBkiVLZvp7V69eVSkeDodDtef48eM4d+4cOnbsmGufZ86ciT59+mD79u2YO3cuhg4d6rKd3nr+3PZjVqdOncJXX32F33//PdfjJm0ZN24cunXrptJVWrduna/nLEhf+vfvj2nTpqlrIiJ/wwCciAJGlSpV1HViYmLGY5cvX8Y///lPFYxKUC4pEREREfj+++8RExOjtpHHZERW/PXXX/j5559VQDh27NiMvzNjxgwV3EqwJ2kutWrVUgF41lQN2U5Gqa9du6ba8+eff+LYsWNqdPfGG29U28h9CQ5TU1NV+oUEmLJt0aJFcw0ak5KS8L///Q9ffPGF6s+sWbOyBeDeen539mNWP/zwA8qUKaO+mciNPO/UqVPVfn/hhRewdOlSt5+zoPuyU6dO6hifPn0a5cqVy7V9RES+xgCciPyWBGjGSKqkY8jocK9evdCmTZuMbUaPHo3k5GQcPHgQYWFhSEtLQ79+/TBy5MiM37399tvVxSCj4S1btkTfvn1VoG3YuXMnfvvtNzRt2jTXdskEPwmCJeDVNA3du3dXqRYSrAsJ/GQUeOXKlSpQ3L17Nxo1aoS2bdvm+nclZUNGsrt27apGeiW9Y/PmzdlG+73x/O7sx6ykbZKX767bbrsNkyZNUm0OCgpy6zkLui/lmwt5nk2bNqFnz55ut5GIyBcYgBOR35IRYWPkWlItZDRTRqUleBMyKvrJJ5/g4YcfxnfffacCLrnExsaq9A1n8vsyKU9GjOX3oqOjVXDmHIDffPPNeQbfQkbDjdFmaUuHDh3UqK1B0jJkpFoCRiEjtxJ8yuh7buQEQ/oiqRYyaiu5zPLYe++959Xnz89+dHb27NlsqS+5qVChgvqGQY5FZGSkW89Z0H0pI+kS1EsbiYj8DQNwIvJbWXOJJfdX0h0k7eGJJ55QecASzEkO8okTJ7KlIBgkiJeJgpLLLekLRYoUUYGgBPTOKlas6Fa7SpUqlem+8ffE+fPn1ch91motcj+3oHHv3r0qRUPyv40+SzA6e/Zslb4RHh7uted3dz9mVaxYMcTHx8Nd8hxywiDBsTvPWdB9KWRkXfL4o6Ki3G4fEZGvMAAnooAhAamkHyxfvlwF4BIAymjxQw89hPvuuy/H33vyyScxYcIEjBgxItNorIy4OjNG1gtDyiVK+b2sFUzcGf2uWbMm1q9fn+lxGfmVyiLuTiYsyPO7ux+zkm8PVq9e7fb2v/zyixq5l/a585wF3Zfi8OHD6rp27dput4+IyFdYhpCIAoZU/5DASoJnISOpko4hKQpZg2kZLRfyuIx0OwdiMtIsqSjeIAGjVCX59ttvMx6TkViZsJhbv+bMmaNOEmT02/kiJf0kOPfm87uzH12ROuUyci91t/Mi1U+++eYbDBkyxO3ndLcvsgiQ7CsZ9TasXbtWnbDlNUGUiMgMHAEnooCYhCnpCpIPLKOhTz31VMY2UmrulltuURUx7rnnHhWgrVixQpW0mz59uhrVlgmYMvot6RKS+iA1xSUH2VtkoqFMpJQAUsoFSj1qqVqS0wi75G9Lu/7xj39k+9kdd9yByZMnqwohMkLujed3Zz+6IhNFJWf+888/V99IZD1uElgbVWfk2A0bNkwtkJOf53SnLxLcS4qRPJfk9gtpk5y8EBH5IwbgROSXpFa3jLAakzAlYJZATXKijRFwISkNu3btwkcffaTKCEp+uIyyOle+kOogEtBJCoTkTy9atEgFiM6j4jLSauRRO5MKJM5l+FxtJxMDpT65QdopdatlVFvK5kngKWkzOY26Sw70s88+63JCY7NmzVRwKbXMJQD31PNn7Zc7+9EVqdQibZcFkqR+t/Nxk/tSd71Vq1Z4+eWXUb169Uy/685zutMXye2XcoYy6dKoEiN/T36HiMgfBWlZv/sjIqJCkRHg0NDQjIBQUiMk2BwwYIAqq2e155cA/N5771Uj4v7QFwnoJXdeShoSEfkjBuBERB525MgRlVIhFwkEJW1C8pplVFYqu1j9+T3JSn0hIjIwACci8gJZSl5WtZQJijIRUOpdS1UPuzy/J1mpL0REggE4EREREZEPsQwhEREREZEPMQAnIiIiIvIhBuBERERERD7EAJyIiIiIyIcYgBMRERER+RADcCIiIiIiH2IATkRERETkQwzAiYiIiIh8iAE4EREREZEP/R8AV5pEapDzggAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Create a PDSCH object\n", "pdsch = PDSCH(bwp, numLayers=2, nID=carrier.cellId, modulation=\"16QAM\")\n", "pdsch.setDMRS(prgSize=0, configType=2, additionalPos=2) # Specify the DMRS configuration\n", "\n", "txAlphas=range(-180,181,10)\n", "rxAlphas=[0]\n", "\n", "# Draw the map and the four points again for the reference\n", "fig, ax = plt.subplots(2,1, figsize=(6,8))\n", "ax0 = deepMimoData.drawMap(\"LOS-NLOS\", ax=ax[0])\n", "x = [point[0] for point in points]\n", "y = [point[1] for point in points]\n", "ax0.scatter(x=x, y=y, c=colors)\n", "for i, point in enumerate(points):\n", " ax0.annotate(f\"P{i+1}\", (x[i], y[i]), textcoords=\"offset points\", xytext=(10,0), ha='center', color=colors[i])\n", "\n", "snrDb=5\n", "for i,trj in enumerate(trajectories):\n", " print(f\"Running at UE position P{i+1}: ({trj[0].xyz[0]:.2f}, {trj[0].xyz[1]:.2f}) ...\")\n", " allResults = getBitrateInfo(numSlots=50, snrDbs=[snrDb], freqDomain=True,\n", " pdsc=pdsch, trajectory=trj, txAlphas=txAlphas, rxAlphas=rxAlphas, \n", " quiet=True)\n", "\n", " if len(rxAlphas)==1: bers = [allResults[snrDb][txAlpha][rxAlphas[0]][\"BER\"] for txAlpha in txAlphas]\n", " else: bers = [allResults[snrDb][txAlphas[0]][rxAlpha][\"BER\"] for rxAlpha in rxAlphas]\n", " ax[1].plot(range(-180,181,10), bers, label=f\"P{i+1}\", color=colors[i])\n", " \n", "ax[1].set_title(f\"Bit Error Rate at different {'TX' if len(rxAlphas)==1 else 'RX'} bearing angles at different UE positions with SNR={snrDb} db\");\n", "ax[1].grid()\n", "ax[1].legend()\n", "ax[1].set_xlabel(\"Bearing Angle (Deg.)\")\n", "ax[1].set_ylabel(\"BER (%)\")\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "599d1788-c04d-442c-9893-e0c98ab3b4b0", "metadata": {}, "source": [ "## Different RX Bearing Angles" ] }, { "cell_type": "code", "execution_count": 6, "id": "5b1b06f1-e961-4bc7-8746-76e6b80a5b77", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Running at UE position P1: (-199.55, 74.83) ...\n", "Running at UE position P2: (150.45, -125.17) ...\n", "Running at UE position P3: (140.45, 149.83) ...\n", "Running at UE position P4: (120.45, 59.83) ...\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "txAlphas=[180]\n", "rxAlphas=range(-180,181,10)\n", "\n", "# Draw the map and the four points again for the reference\n", "fig, ax = plt.subplots(2,1, figsize=(6,8))\n", "\n", "ax0 = deepMimoData.drawMap(\"LOS-NLOS\", ax=ax[0]) # Draw the Map with the trajectory\n", "x = [point[0] for point in points]\n", "y = [point[1] for point in points]\n", "ax0.scatter(x=x, y=y, c=colors)\n", "for i, point in enumerate(points):\n", " ax0.annotate(f\"P{i+1}\", (x[i], y[i]), textcoords=\"offset points\", xytext=(10,0), ha='center', color=colors[i])\n", "\n", "snrDb=5\n", "for i,trj in enumerate(trajectories):\n", " print(f\"Running at UE position P{i+1}: ({trj[0].xyz[0]:.2f}, {trj[0].xyz[1]:.2f}) ...\")\n", " allResults = getBitrateInfo(numSlots=50, snrDbs=[snrDb], freqDomain=True,\n", " pdsc=pdsch, trajectory=trj, txAlphas=txAlphas, rxAlphas=rxAlphas, \n", " quiet=True)\n", "\n", " if len(rxAlphas)==1: bers = [allResults[snrDb][txAlpha][rxAlphas[0]][\"BER\"] for txAlpha in txAlphas]\n", " else: bers = [allResults[snrDb][txAlphas[0]][rxAlpha][\"BER\"] for rxAlpha in rxAlphas]\n", " ax[1].plot(range(-180,181,10), bers, label=f\"P{i+1}\", color=colors[i])\n", " \n", "ax[1].set_title(f\"Bit Error Rate at different {'TX' if len(rxAlphas)==0 else 'RX'} bearing angles at different UE positions with SNR={snrDb} db\");\n", "ax[1].grid()\n", "ax[1].legend()\n", "ax[1].set_xlabel(\"Bearing Angle (Deg.)\")\n", "ax[1].set_ylabel(\"BER (%)\")\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "id": "bd601d69-a95c-4a8b-89e0-8f4dd3226c8c", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "eba66450-4b71-4085-abe5-4080904d0f44", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.10" } }, "nbformat": 4, "nbformat_minor": 5 }