{ "cells": [ { "cell_type": "markdown", "id": "3767d8fa", "metadata": {}, "source": [ "## Channel/Noise Estimation\n", "This notebook demonstrates an end-to-end pipeline for channel and noise estimation using the PDSCH class's ``estimateChannel`` method.\n", "\n", "The ``estimateChannel`` function estimates the effective channel between the PDSCH layers and the receive antennas using the DMRS resource elements. It also returns ``errVar``, which is the variance of the effective residual uncertainty associated with the estimated channel. If the optional parameter ``estimateNoiseVar`` is set to ``True``, the function also returns an estimated noise variance.\n", "\n", "This notebook compares several channel- and noise-estimation methods and evaluates their corresponding bit error rates. It also compares the estimated SNR values with the ground-truth SNR values." ] }, { "cell_type": "code", "execution_count": 1, "id": "2415601e", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import time\n", "import matplotlib.pyplot as plt\n", "\n", "from neoradium import Carrier, PDSCH, CdlChannel, AntennaPanel, random\n", "from neoradium.utils import toDb" ] }, { "cell_type": "code", "execution_count": 2, "id": "ffd6f988-e73f-4ad7-84af-3134595d0d87", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "Simulating end-to-end for 16QAM using perfect channel Knowledge in the frequency domain\n", "SNR(dB) Total Bits Bit Errors BER(%) time(Sec.)\n", "------- ---------- ---------- ------ ----------\n", " -25 14976000 6125696 40.90 35.73\n", " -20 14976000 4988515 33.31 36.62\n", " -15 14976000 3416458 22.81 36.86\n", " -10 14976000 1790785 11.96 36.83\n", " -5 14976000 623667 4.16 36.63\n", " 0 14976000 126831 0.85 36.10\n", " 5 14976000 16749 0.11 35.75\n", " 10 14976000 802 0.01 36.17\n", "\n", "Simulating end-to-end for 16QAM using LS (with errVar) in the frequency domain\n", "SNR(dB) Total Bits Bit Errors BER(%) time(Sec.)\n", "------- ---------- ---------- ------ ----------\n", " -25 14976000 6878156 45.93 37.10\n", " -20 14976000 5920161 39.53 37.91\n", " -15 14976000 4308707 28.77 38.18\n", " -10 14976000 2460068 16.43 37.58\n", " -5 14976000 1008402 6.73 37.01\n", " 0 14976000 255569 1.71 36.32\n", " 5 14976000 40725 0.27 36.38\n", " 10 14976000 3706 0.02 36.42\n", "\n", "Simulating end-to-end for 16QAM using LS (with GT noiseVar) in the frequency domain\n", "SNR(dB) Total Bits Bit Errors BER(%) time(Sec.)\n", "------- ---------- ---------- ------ ----------\n", " -25 14976000 6879454 45.94 36.46\n", " -20 14976000 5960180 39.80 36.44\n", " -15 14976000 4391364 29.32 36.73\n", " -10 14976000 2535724 16.93 36.17\n", " -5 14976000 1044894 6.98 36.69\n", " 0 14976000 266126 1.78 36.01\n", " 5 14976000 42568 0.28 36.12\n", " 10 14976000 3848 0.03 36.48\n", "\n", "Simulating end-to-end for 16QAM using LS (with estimated noiseVar) in the frequency domain\n", "SNR(dB) Total Bits Bit Errors BER(%) time(Sec.)\n", "------- ---------- ---------- ------ ----------\n", " -25 14976000 6878526 45.93 36.82\n", " -20 14976000 5957570 39.78 37.31\n", " -15 14976000 4387601 29.30 36.95\n", " -10 14976000 2532918 16.91 36.63\n", " -5 14976000 1043822 6.97 37.07\n", " 0 14976000 265940 1.78 36.25\n", " 5 14976000 42510 0.28 36.61\n", " 10 14976000 3838 0.03 36.86\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "snrDbs = [-25, -20, -15, -10, -5, 0, 5, 10] # SNR values (in dB) for which we want to evaluate the model\n", "freqDomain = True # Set to False to apply channel in the time domain\n", "\n", "modulation = \"16QAM\" # Modulation scheme\n", "carrier = Carrier(numRbs=24, spacing=30) # Create a carrier with 24 RBs and 30 kHz subcarrier spacing\n", "bwp = carrier.curBwp # The only bandwidth part in the carrier\n", "\n", "# Create a PDSCH object\n", "pdsch = PDSCH(bwp, numLayers=2, modulation=modulation)\n", "pdsch.setDMRS(configType=1, additionalPos=1) # DMRS configuration\n", "\n", "numSlots = 500 # Total number of slots\n", "results = {} # Dictionary to save the results\n", "\n", "noiseEstimates = {}\n", "errVars = {}\n", "minMse, maxMse = 100, 0\n", "for chanEstMethod in [\"perfect channel Knowledge\", \"LS (with errVar)\", \n", " \"LS (with GT noiseVar)\", \"LS (with estimated noiseVar)\"]:\n", " results[chanEstMethod] = {}\n", " print(\"\\nSimulating end-to-end for %s using %s in the %s domain\"%\n", " (modulation, chanEstMethod, \"frequency\" if freqDomain else \"time\"))\n", " print(\"SNR(dB) Total Bits Bit Errors BER(%) time(Sec.)\")\n", " print(\"------- ---------- ---------- ------ ----------\")\n", " for snrDb in snrDbs:\n", " if chanEstMethod==\"LS (with estimated noiseVar)\": \n", " noiseEstimates[snrDb] = []\n", " errVars[snrDb] = []\n", " random.setSeed(123) # Make the results reproducible for each SNR\n", " t0 = time.monotonic()\n", " carrier.slotNo = 0\n", "\n", " # Create a CdlChannel object\n", " channel = CdlChannel(bwp, 'C', delaySpread=300, carrierFreq=4e9, dopplerShift=200,\n", " txAntenna = AntennaPanel([2,4], polarization=\"x\"), # 16 TX antennas\n", " rxAntenna = AntennaPanel([1,2], polarization=\"x\")) # 4 RX antennas\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() # Number of bits available in the resource grid\n", " txBits = random.bits(numBits[0]) # 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", " channelMatrix = channel.getChannelMatrix() # Get the channel matrix\n", " precoder = pdsch.getPrecodingMatrix(channelMatrix) # Get the precoder matrix\n", "\n", " txGrid = bwp.createGrid(len(channel.txAntenna)) # Create the transmitted resource grid\n", " pdsch.precodeTo(txGrid, precoder) # Perform the precoding\n", " \n", " if freqDomain:\n", " rxGrid = txGrid.applyChannel(channelMatrix) # Apply the channel in the 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", " if chanEstMethod == \"perfect channel Knowledge\": \n", " estChannelMat = channel.getEffChannel(channelMatrix, precoder) # Perfect channel knowledge\n", " eqGrid, llrScales = pdsch.equalize(rxGrid, estChannelMat) # Equalization\n", " elif chanEstMethod == \"LS (with errVar)\":\n", " estChannelMat, errVar = pdsch.estimateChannel(rxGrid) # LS channel estimation\n", " eqGrid, llrScales = pdsch.equalize(rxGrid, estChannelMat, errVar) # Use errVar\n", " elif chanEstMethod == \"LS (with GT noiseVar)\":\n", " estChannelMat, errVar = pdsch.estimateChannel(rxGrid) # LS channel estimation\n", " eqGrid, llrScales = pdsch.equalize(rxGrid, estChannelMat, rxGrid.noiseVar) # Use noiseVar\n", " elif chanEstMethod == \"LS (with estimated noiseVar)\":\n", " estChannelMat, errVar, estNoiseVar = pdsch.estimateChannel(rxGrid, estimateNoiseVar=True)\n", " eqGrid, llrScales = pdsch.equalize(rxGrid, estChannelMat, estNoiseVar) # Use estimated noiseVar\n", " noiseEstimates[snrDb] += [ estNoiseVar ]\n", " errVars[snrDb] += [ errVar ]\n", " \n", " rxBits = pdsch.getHardBits(eqGrid)[0] # Demodulation\n", " bitErrors += np.abs(rxBits-txBits).sum() # Count the number of bit errors\n", " totalBits += numBits[0]\n", " print(\"\\r %3d %8d %8d %6.2f %6.2f\"%(snrDb, totalBits, bitErrors, \n", " bitErrors*100/totalBits, time.monotonic()-t0), end='')\n", "\n", " channel.goNext() # Prepare the channel model for the next slot\n", "\n", " dt = time.monotonic()-t0 # Total time for this SNR\n", " results[chanEstMethod][snrDb] = {\"totalBits\":totalBits, \n", " \"bitErrors\":bitErrors, \n", " \"BER\": bitErrors*100/totalBits,\n", " \"Time\": dt,\n", " \"NoiseVar\": rxGrid.noiseVar}\n", " print(\"\\r %3d %8d %8d %6.2f %6.2f\"%(snrDb, totalBits, bitErrors, \n", " bitErrors*100/totalBits, dt))\n", "\n", "# Compare the results\n", "for i,chanEstMethod in enumerate([\"perfect channel Knowledge\", \"LS (with errVar)\", \n", " \"LS (with GT noiseVar)\", \"LS (with estimated noiseVar)\"]):\n", " bers = [results[chanEstMethod][snrDb][\"BER\"] for snrDb in snrDbs]\n", " plt.plot(snrDbs, bers, label=chanEstMethod)\n", "plt.legend()\n", "plt.title(\"Bit error rate for different channel-estimation methods\");\n", "plt.grid()\n", "plt.xlabel(\"SNR\")\n", "plt.xticks(snrDbs)\n", "plt.ylabel(\"BER (%)\")\n", "plt.yscale('log')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 3, "id": "4ab23d66-6049-4b97-b10a-efa49e705cc3", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Convert all estimated noise variances to SNR values and compare them with the ground-truth SNR values\n", "nr = channel.rxAntenna.numEl\n", "meanEstSnrDb, minEstSnrDb, maxEstSnrDb = [], [], []\n", "for snrDb in snrDbs:\n", " estSnrs = toDb(1/(np.array(noiseEstimates[snrDb])*nr)) # Estimated SNR in dB\n", " meanEstSnrDb += [ estSnrs.mean() ]\n", " minEstSnrDb += [ estSnrs.min() ]\n", " maxEstSnrDb += [ estSnrs.max() ]\n", "\n", "plt.plot(snrDbs, snrDbs, color='blue', markersize=1, label=f\"Ground-truth SNR\")\n", "plt.plot(snrDbs, meanEstSnrDb, color='red', markersize=1, label=f\"Average estimated SNR\")\n", "plt.fill_between(snrDbs, minEstSnrDb, maxEstSnrDb, color='pink', alpha=.5, label='Range of estimated SNR')\n", "plt.title('Estimated SNR (dB)')\n", "plt.xlabel('Actual SNR (dB)')\n", "plt.ylabel('Estimated SNR (dB)')\n", "plt.grid()\n", "plt.legend()" ] }, { "cell_type": "code", "execution_count": 4, "id": "372c0848-90d3-48cd-82f7-75d6b6f7f237", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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9RxQpDz/8cPIyds2+8847L9qWRmt6fkhERAT27t2LTz75xJieKe6cOJ+fkS4hhBB5RPRExwInT1vxkwf6hXlU2osXbkYs+G2fF7mGDRvijz/+SLUOowm8aBcrVsysx0jDkiVL4OswRdS9e3d8//33RhjwJ8UHI0LpwaoppsDo40kPpxihibp8+fLGzJw2rZaWEiVKGOHihBEc53JX0otIOT0/vDEaxYoweojefffdVOudPn063ecUQgjhBuLigSMngH2HgDPngOBA+G36A9d+8olb3w6PET+8uC5cuBDTpk0zF1B6Pq655hrcfffdyRc8Z6+XN954A8uWLTORn+eee85c4Hfu3Jkj+8XUEyMwWbmdOZOIAwdOm59Z3Saz22VO10iGETNGfZhu2rJlCyIjIy9ah76cMWPGmNRXel4epxihoPrmm29QqlSp5NL0jGAaatu2bamiPIRDPl1hVOdSUNjyb27dujXVcr4eCmNWtAkhhHATFy4AJyKAPYeAk5HW73HyGNDzeQS0b4fr338fSBO8yE08Rvzwgs00B0udGcVgaoZRCUYPfvnll+T1eLHmRZlRCV7A+/fvb+ZwMdWTE9Bzw9STO25ZnS/J1BRL2umFceV///sfSpcunWHEhiklCpaRI0dm+vycUTVjxgwTjfnyyy8zXI+l6L///ntySoripV69emZbRuwI+/k402iZQRF18ODBi3oL/fDDD6aaTPOnhBDCDTgcQORZYM9h6+1xJAKJ8cDkCUCzRsDXS+DIlw97WPVbvpzb3iKP9PykjRAwPUOOHz+O3bt346677kq1HquJfv75Z/gqbAzICiqmA2+44QaTEmKjQTY7fO+99zLdduLEiSZKdCnY54dmZZbSs/9Oen4spiyrV6+OTz/9FC+88IJZRuHTtGlTkz5jyfr69evNOpkZnhn5Y+XY/fffj06dOiWvQ3H34YcfYtGiRVk6LkIIIbKz+ifG+nrOnQf45TwoEPh4ETDlVeDkCbtevfpIGDAIGy/E4qqwUnAXHit+WIbNCyhLm2vXrp0sflzFkBPeX7duXYbPxTJr3pw4IxO8mKaNlvA+oxQ0VLs2AswKzuiGc/vcFD+sjGKqkOLi5MmT6Ny5sxEj7KTs3BeWmdMI7bpvPL40S9OszD48fIzr8X7a18C+QUuXLjXvA6M66cFUWs+ePU06ktEZiiYKG4ozPj8jdOzQzKid6365mqAZqRo2bFhy1Me5Hvv73HjjjaaaLTePryecA/8W7iv3med/ZoUGl8L5/5T2/8qX8PVj4Ouv3yuPQVwccOoMEHnORnqCg+D381r4jxkFvx3bzSqOipVwYeArcDRqjPiEBGDHZvszm49BVo+pn8P5aexBMI3DlAyjF0zd0HDrTIUwssGya9fxDC+++CK+/fbbVH4TV4YPH44RI0ZctJwXffaecYUX5TJlyhi/iia7Xxn//e9/TborI4F0pdAAzff/6quvztbnFbbCkt4sdvvm/58QQqRHoYMHUf3dd1E2yb4QV7gwdrRrh39atIDDpcdbTkGvL7MQ9LKyMMdrxA8/eB977DHjC6HIcb3Q8cWyyosl167l01yfKR5WOGU18kNxw0hJ2oPHiBMvAjRbM2pyOfBQOyMovjol29ePgae+fp73e/bsMf8Xl3vep/1WxpRls2bNfNaX5evHwNdfv1ccA0atz54HTkUCMbFAgD8QfR75Xp+BfO/Nh19CghE6ie07ILHni0CxpBYvlBuxcYhPiMfyPX+hWeMmCMyf0qokO+D1mxXDlxI/AZ4mfKjoKHxobE37DZ/pEKY9mEJxih9WiVH0cARDRrBPjGuvGCc8KdOemHw+XrRo8uXtcnCmOZzb+yK+fgw89fVzX7nP6f1PXAnZ9TyejK8fA19//R55DBwOICo6ydcTDeTzA/IHAR+8B0yfwl4jdr3GTeA3aAj8K1eBv3O7+AQgLsGkxBBWHNjzlxE+2f36s/p8AZ500ejQoYOJ9rBvD8uZGZkh/BbtFC809T7xxBPGI0JPy6RJk4xoosdECCGEEFdAbJwVPfT1JDpMvx6s+QEYMwrY9bddp1o1YPAwoH6K7QQJF+y29AqGhQLFWV3s/oSTx4gf9vJhmJCkHX7J3j8UPISDNRmi5zIO8+TIBUZ+6NMRQgghxGVAjx/NzBFnbPSGouefXcDokcCaVXYdjhnq0w9o9xiNsXYZo9zRcbbqK6QIUKIYUCApw5IHjN4eI37Y1M4Z6bkUHTt2NDchhBBCXAGJiTbKw2hPTBwQGADERAHjJwML37ePM8XUqQvQ/QW2/U/l6zHDSwsVsKKncBYHUeYiHiN+hBBCCJHDOBzWz3Mywvp76E0M8APmzwNen84hjXa9e1oAAwYDV1+Tsp3T10MfUOliQEjh7JninQNI/AghhBACpnLrxGk7g4u2HIqYFcuAcaPZVdgeoeo1gFeGAXXvSJ0ai4kHAv2BUsWB4kVT0l95lLy9d0IIIYTIWeLp64m0vh4alCl6dmwDRg0Hfk5qEMxuzP1eBtq0teZlwtQWU1xMaYUWBUqEANlcup5T5M14lBAi3R5BbBDJLtwZwflq7Jh9uXzxxRfJnc2FED5CYqIVPXsPAccjbOl6VCQwqD/QqoUVPqykpqdn5Rrg4XZW+DDFFR1rI0X09YSXAcqFeYzwIRI/PthciwNiszI8VKQPR3hwBEd6sNKQx/fAgQPZfvjeffddTJ06FQUKFMhwHc5Wo0Bywn5Y3B/eFi9ejNWrV5vmX2n55ptvzMgQIYQP4HAAZ6OAvYeBw8dt2srfAbw1C2jcAPj4Q7vO/a2B71YDffvbadrGzBxvZ3hxblf5Ulb45EFD86VQ2svH4Dd8NoC86qqrzGBYT2q0l1fg4NQtW7aYOWlp4dDWJ598Evv27ct20TpkyBC8/fbbl7XdK6+8goMHD+KWW24xkSO+54wMcYYaG4Y6GTBgAK699lq89NJL5twQQngp0UnDR89E2ftMcS39Chg/Fjh00C6rVRsYMhy4+ZaU7YyZOd56eejrCQ2xnZ09FIkfH2PevHl45plnzAWc885atGhhlvMCycn3bdq0SbU+Ixi//PILHnzwweRxDH///Te2b9+OsmXL4qabbjLzzpwwIsLIwq233mqej6mUVq1aYffu3fj9999Ns0oOxuTj6c3gYkPKn376yXTS5nOzvQH3oXHjxqnWy2wfMuJK9ps9ojg7ju3SGS1jF3FOl2/YsKGZLcfnSXt8OdWef2PNmjVmrAqPW+nSpc26hfjtKc08suuvv95EcyimuB6FSlqc0ZymTZumWs4J92vXrjXbsadVejRp0gRz585Nvt+nTx8zXNZV/FSoUMHMW3vrrbcwcuTISx5LIYSHwd46zn49Fy7YTsub/gRGjwB+T/oiV64c0H8g0Kp1SpUWfT1Mb/G+8fUUs9t6OBI/PgRFxLJly7Bx40ZzQeYF0Sl+eJ8RIV6wXSeoT5gwAX/88YcRRRxu2alTJ9NskhdoRhEoID7//HNUrFjRrD9//nyTFmJEiYKBAociYteuXUZwMfrACzYFFQfOjh49Ovlvcdo8L9THjh0zE9u3bt2KqlWrGiHy22+/mXWysg9p+Tf73b9/fzMfhuKNQ1P/7//+zyzjfjEKM3369OS/888//xjPzWeffWbu83cea2fEhbeFCxcageWEncerVatmRBnFy3333Zeu+Pnyyy/N33aN1DGl1bp1a1SqVMmIKh6nc+fOXfI8qFy5MqKioowQdX0+CkymxiR+hPAiKF5OnwVOnbYpq6AA4OQpYNJ44POkFDlT6d26A890tb8TdnHmzEtO5GFaq2QoUDC/x6W3MkLi59/CHOj581k3l0VFWcNYdqSbOHH+Mk5EXqw58oMX8a5du6Ju3bpGaHC6erly5czF9b333ksWP4zCfPjhhxg1apS5z58UMbzI82LLizqjIN27dzfCwcm2bdvMfDUKGScc4McbL7i8SB8+fNiIAIqqm2++2axDIcT0DoUABQf/DqMlFBpOsroPrvyb/SabN282UR5Gc5x07twZEydONDfnaJV33nnHdBJn5IcMHTo01fPQr8PjnjZdxojUhg0bTCPPjOA2HO/ihO/Ns88+a0Qdu5mTN954Az169LhoWw4kpeeHr5tDeadMmWLSYWlTnhRf3GeKxaAgz/9mJ4RP4/T1sHSdqS5ToXUBeP11YM6bNCja9do+Yj09pcukbMf0VvwF25G5ZDGgaGGvET1OJH7+LRQ+hQtnaVVeapJm22YP/JafJo2SEbzw8eI8YsQIc5+Cg0NgFyxYgL59+5plHBHSr18/E83gcDhGiZgK4sgQp3hipIERFD4fb/SHMJrhGkVg1CatgCCsUuJFniKEz0+hwBSTU/x8/PHHxnvinMTLqAyjURQeTrK6D6782/1u165dKuFDnnrqKSMgGD3i8eHz0JDM5a7ptCNHjpgIFqNdnIbOCBJTea7ThtmNPDPhQ7hNMedk5CQx9Ndff5nj5YTDe+kLSosz6ubcn4IFC6abIuM+8NgwApf29QohPARnJRZFzzn6evzsSApGeRjtOXrUrndbHWDIMKDmjSnbmTlcjA4FAmWK2TSXs6zdy5D48REY0aAJl+ktRgEIvSb0qDjFz0MPPYTnn3/eeIGYfnn//fdNFCM0NNREAw4dOmTSOIwWucJ1WOXEiyphFCktTAFRRDClFB4ebgbTUlg5n4uRDD5/2tQV7zvFz+Xsg5N/u98ZLafHpmXLlkZYUfxQKDKtyIiQE4ojRntq166NsLAw8xrJ8ePHTaoqs+dPC4/XeZcII1NoFFOuM+vopaJ351KeH77/fK/pc+I54ISpMOffEkJ4IIzYmOGjZ226i2bm9b9ZX8+mjXad8ArAwMHAPfemRHPoAeIIC34RZK8e+noogLwYiZ9/Cy+cWfBZEGfKh9/6s6XKKs2FPjMochjZYKTCFV6wf/zxR2N25X7R50LR06hRI7MuvTCEkRpebGmSpUDKDKcx2hX6e5imoZ/EeQyqV69uIg2E0RIu4wBbV1zvX84+XMk26e13ZsuZOmNEiakkHl+aoKtUqWIeY1RmzJgxJtJVq1Yts4wVYl999VXya77U87vCSiymr1yjNBRuvPH1OUl7/NKD7zEN5TRzu4ofPj8jPkWKFLnkcwgh8hAULzQy09BMAcRIz7EjtoLr6yV2HX6pYb+eTp2B4PwpVgx2ZmY75yKFbIqrgPf4ejJDdc7/Fp4kTD2545bFE5RpDJpwX3/99eSeL84bL4SuUYH27dubcvj//Oc/RjgwAmRfpp/x7PAizwunK/TvXAquQ7Hj6qPZuXNnqnXoR6Kx11UsunpyrmQf/u1+ZwbN4oy8TJ482RyzLl26pHpuCtzrrrsuVRn8lcLoDUWqE0aTGLHi33VCocWI0KVg6s0ZvXKFz5+2mkwIkYfhFylGefYcBo6eBByJQGI8MHkC0KyRFT78ov34E8DK/wHdnrfCx+GwkR6mxxgdKl/a9uspWMAnhA9R5McHoJBhVIXRnbQ88MADJlVDnw/XYSqIkQRWNDFN5TTzEhplGd2oX7++Md8ygsGmecTpKckIiqzBgwebVNepU6eMOTdt2Tf9SHxuluLTdE0PEEvFXVNEV7IP/2a/M4NpJnp8xo4da/w4TCU5oY+JURSmxNq2bWvK/Pk+XCn0BdHPwx49rA4rUaKEeY94rJxGbr7O9KI2TsMz4fGkCKaRnGk7Vz8WhWfayKAQIq8W2iT16zl33th6TJrq40XAlFeBkyfsevXqA68MBa673sXXk2B9PSxXDwsFihXxWl9PZkj8+ACM/NAYm16qjdEL3hiJoeBgtIcX2f/973+mMskVpnToE6Fxmr14eMHnhd31ok8TNT1CaZk5cyZmzZplnpfiiqm17777zlSeObn99ttN9IFRGvauofjiRXrdunWXtQ9p+Tf7zYiLa/QmvdQXBUmDBg1SdV6mb4avhUKD3ZNZXk7BxWoqV7MzxWZGJfquMMJEoTNjxgwjHAmfi89LjxajOBRyjPC57i/Tl6xi42OMgjFd1qtXL9OI0XV/Kcx4DCgShRB5GM7SOhlpIz5MWzFys26tncO1Y7tdp2IlYPBQoHGTlEgOzcyM9rAxYclQoHiI1/t6MsPPkdaAIIwnhc3sGKVwvVAReiz4TZsXLFevhVs8Px5IZscgNjbWRGWcx5W/33bbbeaCzNSSN/BvzgFGzChc2IgwsxEXVwI9WSybT9u0MTvOe1fYyoCpTIo+Cm1fxNePga+//is+BglJvp6ISCAuwfp69u8Dxo4Cvltu1wkJAXr1Bp54koZHF19PnP3d1dfjpedAZtdvVxT5EXmGs2fPmn8GRnx48n700UfGTPzCCy+4e9fyBIza/JvUWWY4ewUJIfIYFC8cRcEUFz06gf5AQgwwdQKw4F2bxmJ7jSc6WuFTLCmCbeZwxdmqLzYnZAUXxY+PeHouhcSPyDOwDJ7VZew9xDQVmy5+8MEHZrkQQvgUFC9R0Um+nmg7cT3IH/jgPWD6FJZ22vWY2ho0BKhcJWU7M4crKTpUqgQQQl+Pb2YbMkLiR+QpWHo9btw4d++GEEK42dfDfj3nrJihiFnzAzBmFLDrb7tOtWrA4GFA/QYp25kmhXHWwByW5OsJ1GU+PXRUhBBCiLwAU1jO4aOM3uQPBHbvAkaPBNassuuwG3yffkC7x2y6y5kai46zVV+M8jDFxdEUIkMkfoQQQgh3QvHCKA+jPTQnc/hoTBQwYYpNc/FxGoM7dbGNCp1GXldfT6ECVvRwCKl8PZdE4kcIIYRw2/DR88DJCOvvYQVogB/w7jzg9RnA2TN2vXtaAAMGA1dfc7Gvh6XupYsBIYWzZ2C2jyDxI4QQQriDw8eBqBgzXcKImBXLgHGjObzPPl69BvDKMKDuHalTYxxJwaqvUsWB4kVT0l8iy+iICSGEELkFIzbHTtnfmeriSIkd2+zwUTYrJGGlgH4vA23apnRfZmqLKS6mtDhtnQNI88vXc6VI/AivhY20eEs76V0IIXId+nZOnwVORQLno+2yc2eA0cOATz5KquoKBp7uCjzX3c5vJM45XNyefh76eujvka/nXyHxk10wFEllnhkOB/xMnjb+35+47NlwGaFOdk+mEHBOUP83XXrzOhw38eijj2L79u2oUKGCuZ+T8LjGxcVdNKvMCR9LSEiQCBPCF6F44fytE6et6OFndz6g6scfI+C//wXOn7fr3d8a6D8IKF8+ZTt6enhtYYSHkZ6i8vVkFxI/2QFPzr2HeRXMdDU/B1AgPg5+J87YksR/A53/V5fNsgDinC52B+ZYBE435+ypBx98EJMmTTLdlL2J0aNHm3le69evz5UxIpxDxhEcHF7Kaetpueeee8zAUQ0NFcLHiE4aPsoOzUjy9Sz9CgHjx+L6Qwftslq1gSHDgZtvSdnO+SWZn+/09YSG2JlcItuQNTw7YMSHwsc49QMyvgX6I5H5WxrVMlvvUjf+Hf69S0Wa0sCp5ufOnTMTvJcvX44vvvgCL730Uqp1zp8/b9bhz4zg45xRZV76hQuZ/k1GPJxERUWluz5neF3qedLC9Z374Ar/xt9//22aJfI1MOqSGZn9bdfXyedhhIfr8m+4zry66667ULVqVbz99tsXPcfu3bvxww8/mAGofC4+J28Z7RePl+ux53ul8XtCeBj8fD560n4ppq+HA0R3bAUeaQO80B1+hw7ifMmSSJgyHVj8eYrw4Wc6q77YrJC+nmvKAWHFJXxyAImfbD2aFD/+Gd8ofBjy5M+Af3HLhmhGrVq10L59ezMR3JWaNWuaCeIlSpQwt2effdbM3HLCCzejGBMnTjTPwVQP13/33XdTPQ+jLhySGRwcjPDwcLz66qtm8vjXX3+dvM7Ro0fxyCOPmOdgJOrWW281U98zg6msxo0bm7Qdb5xIv2fPnuTHy5cvj19++QUTJkww+zVixIh0n+dSf9v5OsePH49q1aqZ6NicOXPM/vO4cLp6WFiYGb2xZcsWdO7c2UyqZ3rRFQoi7gdnlv38888oV66cmbrO5+OQ0Llz56Za/7333jNRK0avOMuLf+Pw4cOZHhMhRB6BX6Q4cX3PIeB4hB1JcfoU0PdFoM39wO/rAUbfX+yD7994A477H7Cf54kOGyWit4e+ngplgbJhQHCQu1+R1yLx48M4Ixmu7Nq1Kzk69Ouvv2Ljxo0YMmTIRdtS7PBizyjFyJEjjUjiEFJCAfDAAw/glltuwenTp40YYcrHNWLCCEezZs3MBf7gwYNmEi+fgyLhwIEDGe5vq1atUKpUKRw/fhyHDh0yy9u0aZMcHeHf4yR47jNfx5gxYy56nsv52xQnHLDK4/H8888nvz6KoM2bN5u/QcH41FNPGZH4X+bwk2Ckh7PK+Ji/vz/uuOMO87f4N3gsZs+ebaappxV8FDt8bkaw+PwUTEKIPAw/f86cs5GeI8eTovIXgNenAU0bAp8nfS60fQRYuQaJPXrhAs3NziaF52OAoCDgqlJW+MjQnONI/PgQFDq8mFIgMOLDAaIdOnRId11euCkyevbsma5XZejQoahevbrx1FA4MArDaA/h+hEREZg+fbqJnpQtW9b87sqXX35pxNLkyZPNthQkTzzxhIl6uAoIV5imo3CYNWsWihUrZqIub731Fv744w98//33WT4Ol/O3Bw4caCJYaWHkh5EsJ/z9vvvuS5X64jGmuOrSpctF2/Nv1qtXz0Su0h5fPz8/zJw504gzIUQehuKFwmX/UeDAURu54RyuJZ9b0fPadObGgdvqAF8sBSZNAUqXsdsRbuuXDyhTwqa4OJpCVVy5ggzPPsRPP/1kUjBO/woNz2mHiPLizZQWI0CBgYEmouKsEnOFKRtXihYtakQV2blzpxESFD5ObrzxRhP9cELBwiiIq4BwklGahymvSpUqITQ0NHkZU2p8TXysSZMmWToOGzZsyPLfZooqLayW4+tLC0VO69atsXfvXlx99dWYN2+eMUJXrlzZPM4oGT1WH3/8sRGHNJ8zivTQQw+leh6muiR8hMjj0JBsho+etZEempnX/2b79WzaaNcJrwAMHAzcc2+KqGG0nSkuwgaFpUpaT5DIVSR+fAganmm+paD56quvjOflgw8+MFEPsm7dOpPaWbRokUkBBQUFmWgLL+hpYXQiIxgNSptO499Ma1C+5pprjMjKKuk9L+EyV2GVFbL6tykA08K/ld7rZxTH6X/iceSxe+edd1JFyyhAlyxZYlKCFFEdO3a8yFye3t8UQuQR+BnEwaMcQEoBxEjPsSPA+LHA10vsOoUL2xlcnToDwUltRfj5x87MbOdcOKktRqkSEj5uQmkvH4QXbnpnBgwYgF69eiVHbH777TcT0aBfh8LHWcZ9uTAdRr/KqVNJXUwB4x9yrVqiwfiff/7B1q1bs/y8NWrUMNVTNCs74d+h/4ePZRV6gi73b2cFiiL6eyh+mFKkmdo1qsPjy2NLAzWFHMUg/VBCCA+An1+M8uw5bCu5HIlAYjwweQLQrJEVPjQvP9Ye+H4N0O15K3ycTQqjY210qHxpoHwp+5xKcbkNiR8fpl+/fkbkOFNfNO4yZfXZZ58ZgcELeFqvTlag94XNBVneTbHy559/okePHqnWadmypTEAP/zww1i5cqX5exRanTp1MvfTg9vccMMNRmBwPyle+DtLzXnLKlfyt7MKU19Me7HKjNV0rs0keXw//fRTk6Jjhdpzzz2X4w0YhRD/EooXlp/vPwIcPAbExdpozeKPgMYNgDdnsRcGUK8+sORbYOwE5q6Tho/G221Z5VumpO3NxgGkEj1uR+InO2FYk/0ZMroxXMrcMH8m/ItbOv1tLgUvwvSYuMKxD6zUos+HXhf6U1ja3bdvXxO9YaUSH3ftXMyoEe+nTTNxmTNdw8eYVqO5+vbbbzdl4Kxq4uMsfSeMfNAQTCHCBoyM3FCMNWrUyOxHenAbpoxodm7QoAGaNm1qIlUUFGlflzNyldHzXOpvZ/Q6mapiaXxG0JPEpoaM6lD8uTJq1CjjfWIakX+H6TqKN9f3hccoo07RQohchpVYh08A+w4DZ6Nsiuv334BW9wCDBwAnTwAVKwFz3wX+8wFw3fV2O35Oc2DpBQdQMhS4upwdS3GZ6XmRc/g51EHtImiGZR+WyMhIY+R1hU3tmDKh4Tf5W30WOzzbLwJxCAwM+vfC/zI7PLsbRn/YF4hpKvbJ4XHNje7LeQ2KIp5fnvb60z3vrwCa55cuXWo8Zb7qbfL1Y+ARrz8hydcTEWlHTFD07N8HjB0FfLfcrsPO+L16A+072jL1ZF9PUgPTIoWAksWAAvk98xjkIDn5+jO7frviGVfOvA4FCIXIJTouU2dGnz2LgCJFMjUM58Rsr9yG/XUYPapbt65JA3Xv3t00J+TFkyenEELkOSheOIqCVVz06LAbf0IMMHUCsOBd+0WX0ZsnOgK9+gDOylNnvx5eAwrmt1Eeih+lt/Iseffq6WmY0ROXWCcxEY7AAJsv9qBv/VcCK8iYSqLXh2kiNhVMr+GgEELkGV8PRc+5aNuZOcgf+OA9YPoUdk+16zVuAgwaAlSu4hLOT0iJDrF6i716+OVU5GkkfkSOwD437IyclvTmcQkhhNtgxMb06zlnxQxFzJofgDGjgF1/23WqVQMGDwPqN0idGuO2jASFhQLFQwB+uRUegd4pIYQQvgdTWOzVQ28Pozf5A4Hdu4DRI4E1q+w67LLepx/Q7rEUm4Grr4dRHqa4CthCDuE5SPwIIYTwHSheGOVhtIciJigAiIkCJkyxaS4+ThNupy62UaHTNJvs63EAhZJ8PRxCKl+PRyLxc4WoSE74EjrfhcdD8UI/z8kI6++h7zLAD3h3HvD6DOBsUiHGPS2AAYOBq6+52NfDJoWli9lePV7u2/R2JH4uE2ffF87HSts3Rwhvhec7udwxIkLkCWJigROn7eR1NpqniFmxDBg3Gti7165TvQbwyjCg7h2pU2McScGqr1LF7SyuPFxlK7KO3sXLhE3u2ESPIxXYn+ByerXQ7MuLCHumeFKPl+zE14+BJ75+7jPPd573PP+F8BgYsTkVaX09NChT9OzYZoePrksa3RNWCuj3MtCmbUoTQpasM8XFlFZoUaBECJBfvh5vQp9klwn785QtW9Y0fGP/msvB9PmJjjYRo3/d58dD8fVj4Kmvn0KNI0s8aZ+FD0PfzumzVvg4fT1RkcCoScDHHyVVdQUDT3cFnuvOFvV2O+ccLm5PPw99PYUKyNfjhUj8XAEcnXDttdcmpwIup6vl6tWrzWgGX+zqSXz9GHjq6+c57ymRKuHrvp7zNsV1Pmmmlr8DmDMbmPkacP68Xe/+1kD/QUD58inb0dPDNBcjPIz0FJWvx5uR+LlCeCG43Db/9EskJCSY7Tzpwped+Pox8PXXL0SOER1jK7jYoZkwxbX0K2D8WODQQbusVm1gyHDg5ltStjNm5njr5aGvJzQECJC3zduR+BFCCOG5cKais18Ph0YHBwGbN1pfz/rf7DrlygH9BwKtWqdUadHXQyM07xtfTzG7rfAJJH6EEEJ4Hhecvp7TQGy89fWcPAVMGg98/l+7Dityu3UHnulqfyeJ7NcTC7DZPH09nLrOeVzys/kUEj9CCCE8B/pzzkZZXw9TXazQ8ksE3pgOvDUbiImx67V9BOjbHyhdJmU7prfiL9iOzCWS+vVI9PgkEj9CCCHyPhQvnLROXw/FD/zsHC5GeRjtOXrUrndbHWDIMKDmjSnbmTlcjA4FAmWK2TSXelb5NBI/Qggh8jaM2Jjho2dtuotmZvp56OvZtNGuE14BGDgYuOfelGgOPUAsXaevhxVcjPZQAAmfR+JHCCFE3oTihUZmGpopgBjpOXbEVnB9vcSuU7iwncHVqTMQnN9l+Gg8wz5AkUJASQ4fla9HpCDxI4QQIm/BVBVHUZxgk8IYW3qeGA9MngK8M4/zVmw0h9PWe/cFwsJStmN6i6KJYoeRnqKF5OsRFyHxI4QQIm9A8XI+qV8PmxUye8U01ceLgCmvAidP2PXq1QdeGQpcd33KdmxQSOHDcvWwUKBYEfl6RIZI/AghhHA/nKV1MtL6ehKTfD2cvzVqOLBju12nYiVg8FCgcZOUaE5Ckq+H0SGWrRcPka9HXBKJHyGEEO4jIcnXExFpR0zQ17P/IDB2FPDdcrtOSAjQqzfQviNnrbj4epJGDLFknSku9usRIgtI/AghhHDf8FGmuFjCHugPJMQAUycAC961aSyWoz/REejVBwgNvdjXQ7FD0UNTs/r1iMtA4kcIIUTuQfFCDh4Domlc9gOC/IEP3gOmTwFOn7aPM7U1aAhQuUrKdmYOV1J0iHO4Qujr0cBdcflI/AghhMg9X8+xJNNyVLStyFrzAzBmFLDrb7u8ajXr62nQMGU706QwzkaCwpJ8PYG6fIkrR2ePEEKInIUpLOfwUc7VIgf2AeNGA2tW2fvFiwN9+tnydU5YT9fXE2pHUwjxL/GoeGFUVBTmzp2LW2+9FYULF8aaNWvSXe+tt95C9erVUbJkSTRq1Ajr16/P9X0VQgifh+KFgmfPIeDYKXs4oqNw4+zZCLjvbit8AgPt4NGVa4D2HazwYYqLE9eZFmN0KLwMUL60hI/wTfEzatQorF27Fq+88ooRQhdoeEvD+++/jxdeeAFDhgwxoociqEmTJjh06JBb9lkIIXwOihf26dl3GDh0zHp1AvyA+fMQ0KwRKn7zDfwojO6+B1j2vfX2FA1JGT4axcaGAUC5MODqsjI0C99Oe40fP978PHDgQIbrjBs3Dp06dcKjjz5q7s+YMQOLFy/GrFmzjHgSQgiRgzBiw4nr7NBMbzP79axYZlNce/eavoWnK1VC4ZFjEVDvrpTtnP16WPVFMzOHj8rXI3IIj4r8XIrTp09jy5YtJtLjJF++fGjcuDH+97//uXXfhBDCq2F059hJm+JiCTs7M+/5G3jiUaDbM0b4IKwUEsZPwqpJk+Coe4fdjoNK2dWZ21PwXF3Oih8JH69l1y5g5cqr3LoPHhX5uRTO1FapUqVSLef9zHw/sbGx5ubkzJkz5md8fLy5ZRfO58rO5/Q0fP0Y6PX79vvvlecA01eR55LMzIzcBABnIuA/4lX4Lf4Yfg4HHMHBSOzyDBK7Po/4/PmBbRsRTxM0+/s4EoGCBe3UdfbtYb8ebzk2vnIOZJHISGZn8uG11wLgcNRGly6xuO46ZCtZPaZeJX5coz1p7zucvSUySJWNGDHiouXLli1DQf5TZjPLlyd1LfVhfP0Y6PX79vvvredAvthYVP7iC1RdvBj5OJCUNoX69bG1Y0dEc/joPzuT112+fRN8HW88B9LjwgU/LFt2NRYuvA5nzgSaZbVqHcePP27E7t1RyE7Onz/ve+LHGfE5fvx4quW8nzYa5MrAgQPRp0+fVJGf8PBwNG/eHEWLFs1WRcqTvVmzZghkhYMP4uvHQK/ft99/rzkH6Os5RV9P0oUmOBB+Xy+B/8Tx8Dt00CxKvKk2EgcPQembb0Fp53bxCYiPjcHyPX+h2S23IbBEcTuTy8fwinMgiyxf7odBg/yxdaudxVatmgNjx8YiX761aN48+1+/M3PjU+KHpe1VqlTB6tWr8eCDDyYvX7VqFR555JEMtwsODja3tPBNyYkTM6ee15Pw9WOg1+/b77/HngNMKTj79bDalmXomzcCo0cA63+z65QrB/QfiHytWqdE4enroWDi/eLFgD1AYOkwz3v92YxHngNZZPt24KWXgKVLU9o4McHStStFkL9ZnhOvP6vP51Xih7z44osmkvPAAw+gTp06mDRpEo4dO4Zu3bq5e9eEEMIzoXihiZnRHs7VCgoATp4CJo0HPv+vXadAAaBbd9uzh7+TRM7higUSARQuaKeus5pLeC0nT1qRM3Om1cfsWNCjBzB0aMp4trxgdfIo8cMePl27dk3277Ro0QL+/v4YNGiQuZHu3bvj5MmTJvITGRmJa6+9Fl988QUqV67s5r0XQggPg5+1Z6Ns6Xp0jB0v4ZcIvDEdeGs2kOTrQdtHgL79gdJlUrZjv554RoeC7fDRooVs5CcvXPlEthMXZwXPyJFARIRddv/9wKRJQNWqyHN4lPhp164dWrdufdHyoKCgVPeHDh1qbsyremtIUQghcgyKF1ZiceI6xQ+783CYKKM8jPYcPWrXu60OMGQYUPPGlO3MHC5GhwKBMsVs+TpFk/BKHA7gq6+Avn2BnUl+9htvBKZMAVy6zuQ5PEr8BAQEmLEWWUXCRwghLhNGbCh6Is/adBebFNLPM2YksPFPu054BWDgYOCee21pOrmQ1KSQ0R2WrTPaQwEkvJaNGwHWCn33nb3PuqLRo4HOnfO+3vUo8SOEECKHoHihkZmGZgogRnqOHQHGjwW+XmLX4ZfP7i8AnToDwfldho8yleWwYyhKFrNGaKcoEl7HsWPAkCHA3Ln27WfypXdvgO6TbCyQzlEkfoQQwtfzFhxFcSLSenhYep4YD0yeArwzz5o5GM3htPXefQH263Fux/SWs+rL6euR6PFaYmOB6dNtdOfsWbvs4YeBCROAihXhUUj8CCGEL0LxwrESTHFxCCkDNUxTfbwImPIqcPKEXa9efeCVocB116dsx+7MxtcTBISFAsWK5P08h7hiHA5g8WKgf3/gn3/ssltuAaZOBerX98wDK/EjhBC+BsdQnIy0vp7EJF/PurXAqOHAju12nYqVgMFDgcZNUqI5zuGjjA4xvcWePfL1eDXr19uU1po1KW2cxo0DnnjCBgQ9FYkfIYTwFRKSfD0RkUBcgvX17D8IjB0FfJc0aiEkBOjVG2jf0UZ2kn09cUmPF7YpLs7hEl7LoUPWw7NggY38sHVTv342+lOoEDweiR8hhPB2KF7ORNkUF0vY2WgwIQaYOgFY8K5NYzFt9URHoFeflG50rr4eih2KHpqa5evxWs6fByZPBsaPt7+T9u1ttCc8HF6DxI8QQngrFC9R0Um+nmggnx8Q5A988B4wfQpw+rRdj6mtQUOAylVStotPSIkOlSoOhNDX48F5DnFJfbxwITBgAHDggF12xx3W11OnjvcdPIkfIYTwWl8P+/Wcs2MmKGLW/ACMGQXs+tuuU7Wa9fU0aJiynWlSGGcjQTQzFw8BAnWp8GbWrrW+np9/tvcrVLAVXO3aeW+QT2e0EEJ4E0xhOYePMnpD0fPPLmD0SGDNqpQpk3362fJ1Dl9K19cTakdTCK9l714b6Vm0yN6nl4c+Hwoh53g2b0XiRwghvAGKF0Z5GO2hiGG0JiYKmDDFprn4OMf9dOpiGxU6u9EZX08ccMFhfT2s4uIQUm/9yi9w7pz19NDbw9ZOfKs7dbL9e8qW9Y0DJPEjhBCeDMUL/TwnI6y/h/XHAX7A/HnA6zOAs2fseve0AAYMBq6+5mJfD0vdSxezER9Prl8WmUL9O3++je4cOWKXNWxofT21a/vWwZP4EUIITyUm1k5cZ4dmB6yIWbEMGDfa5jRI9RrAK8OAunekbOfs18OqL5qZOXxUvh6vZtUqm87asMHer1zZTlx/4AHfDPJJ/AghhKfBiM2pSOvroZCh6NmxDRg9wjYrJGGlgH4vA23apnRf5qBSprh4taPg4QDS/PL1eDO7dtnePJ9+au8z2zlkCNCzJxDsw2+9xI8QQnhS3uL0WSt8GLkJCgCiIoFRk4CPP7KpLF7Rnu4KPNc9pRsdl3N9bl+ooPX1FCrgm1/5fYTISOvhmTEjZTxb167AiBEp49l8GYkfIYTwCF/PeZviOh9t++34O4A5s4GZr6V0o7u/NdB/EFC+fMp29PSwAowRHkZ6isrX483wrea09aFDgePH7bLmza25uUYNd+9d3kHiRwgh8jLRScNH2aGZMMW19Ctg/Fjg0EG7rFZtYMhw4OZbUrYzZuZ4W8pufD0hdiaX8FqWLQP69AG2bLH3r7/eip577lGQLy0SP0IIkReJj0/p18PxEsFBwKY/ra/n9/UpUyb7DwRatU6p0qKvh0Zo3je+nmJ2W+G1bN8O9O0LLFmS0saJ6S2mudjdQFyMxI8QQuQlLjh9PaftXC36ek6eAiaNBz7/r12HHei6dQee6ZrSjY5dnGNjgUTYPj0lQ23fHvl6vJaTJ63ImTXLprsY5KORmYZm53g2kT4SP0IIkRegP+dslPX1MNVlKrQuAK+/Dsx503ajI20fAfr2B0qXSdmO6a34C7Yjc4mkfj0SPV4dFJw50wqfiAi7rFUr4NVXgapV3b13noHEjxBCuBOKF05ap6+H4gd+diQFozyM9hw9ate7rQ4wZBhQ88aU7cwcLkaHAoEyxWyay1nWLrwOvuVMbb30ErBzp11Ws6ZtUtikibv3zrOQ+BFCCHfBiI0ZPnrWprtoZl7/m/X1bNpo1wmvAAwcDNxzb0o0hx4glq7T18MKLkZ7KICE17JpkzUzr1hh75cqZUvZO3eW3r0SJH6EEMIdmAqu81YAMdJz7Iit4Po6ybVauLCdwdWpMxCc32X4aDxjAECRQrZfTwH5eryZY8ds2fqcOfbtDwqynZo5osI5nk1cPhI/QgiRm3kLjqIgx0/ZK1liPDB5CvDOvJRudJy23rtvSjc6M3w03kZ8KHYY6SlaSL4eL4be9enTgTFjgDNJ49natgUmTAAqVXL33nk+Ej9CCJHTULycj0lJcRHWIC/+CJjyKnDyhF1Wrz7wylDguutTtmMZj/H1BAFhoUCxIspzeDF8yzmKgiMpdu+2y265xfp66td39955DxI/QgiRk3CW1slIK3qYtwgORMk//0TAywOAHdvtOhUrAYOHAo2bpERznMNH2ZiQ6a3i8vV4O+vXW1/P6tUpbZzGjgU6dEhp4ySyB4kfIYTICShe2KAwItKOmKCvZ/9B+I8ZiXrfJ7lWQ0KAXr2B9h1tZCfZ1xOX9Hhhm+Jivx7htRw6BAweDMyfbyM/bN3Ur5+N/jjHs4nsReJHCCGyE4oXjqJgiosl7IH+QEIMMHUCsOBd5EtIQGK+fHA80RH+L76U0o3O1ddDsUPRQ1Oz+vV4LRzJxsGj9PFEJU0vad8eGDcOCA939955NxI/QgiRHVC8REVb0XMuGsjnBwT5Ax+8B0yfApw+bVZLbNQYKx9qgwb3tII/e/JwOzOHKyk6xDlcIfT1KM/hrfAtX7WqPHr2DMD+/XbZHXdYX0+dOu7eO99A4kcIIbLF10Mz8zk7ZoIiZs0PwJhRwK6/7TrVqgGDh+HCnfVwbvMGu8w0KYyzBmaamYuHAIH6WPZm1q0DevXyxy+/3GruV6hgIz/t2inIl5vov0wIIa4UVmI5h48yekPR888uYPRIYM2qlCmTffrZ8nUOX2Jai7D6i6KHUR6muDiaQngt+/YBAwYACxfyXj7kz5+AQYP80Levf/J4NpF7SPwIIcSV+HoY5WG0h+ZkRmtiooAJU2yai4+zlL1TF9uo0NmNjvkOTlwn9PWUKmGHkMrX47WcO2cjO5y7xfFsfKuffDIRDRqswBNPNEEgPWEi15H4EUKIrELxQj/PyQjr72H9cYAfMH8e8PoM4GxSN7p7WgADBgNXX5OyndPX40xrXVUaCFa0x1uh/mX1Fqu4Dh+2yxo2tL6eGjUuYOnSJBEs3ILEjxBCZAVGbDhxnR2aHbBzuFYsA8aNBvbutetUrwG8Mgyoe0fKds5+PfyGTzNzkQLA9o1q3OLFrFplR1BsSLJ2Va4MTJoEPPCAjfxwKrtwLxI/QgiRGYzYnIq0vh4KGYqeHdvs8NF1a+06YaWAfi8DbdqmdF/moFKamXm147R1DiDNH6wrnxeza5ftzcMOzYTZziFDgJ49FeTLa0j8CCFERnmL02et8GHkJigAiIoERk0CPv7IprKYtnq6K/Bc95RudMbXE2e3p5+HZuZCBeTr8WIiI+2EdfbscY5n69oVGDEiZTybyFtI/AghxEW+nvM2xXU+2vbb8XcAc2YDM1+znenI/a2B/oOA8uVTtqOnhxVgjPAw0lO0sNJbXgzf6rlz7dT148ftsubNgcmT6etx996JzJD4EUIIJ9FJw0fZoZkwxbX0K2D8WODQQbusVm1gyHDg5ltSjpsxM8fbUnb6ekJD7Ewu4bUsW2bncG3ZktLGacoUoEULBfk8AYkfIYSgA9XZr4d9eIKDgM0bra9n/W8pUyb7DwRatU6J5tDXQyM07xtfTzG7rfBatm8H+vYFlixJaeM0fDjQrZvtbiA8A4kfIYTvcsHp6zlt52rR13PyFDBpPPD5f+067EDXrTvwTFf7O2EX59hYIBHW11My1PbtUb8er+XkSevhmTXLprsY5OvRwxqaKYCEZyHxI4TwPejPORtlfT1MdZkKrQvA668Dc9603ehI20eAvv2B0mVStmN6K/6C7cjMSA8nr0v0eHVQcOZMK3wiIuyyVq1s6TpTXcIzkfgRQvgOFC+ctE5fD8UP/OxICkZ5GO05etSud1sdYMgwoOaNKduZOVyMDgUCZYrZNJezrF14HXzLmdp66SVg5067rGZN6+tp2tTdeyf+LRI/QgjfgBEb5/BR+npoZqafh76eTRvtOuEVgIGDgXvuTYnmcF2WrtPXwwouRnsogITXsmmTNTOvWGHvs1ydpexdukjv+rT4iY6Oxs8//4wDBw6Y++Hh4bj99ttRQNPZhBB5DYoXGplpaKYAYqTn2GFbwfV1kmu1cGE7g6tTZyA4v13GPj0xbMXrAIoUAkpy+Kh8Pd7MsWO2bH3OHPv2BwUBL74IDBoEhIS4e++E28TP2rVrMXXqVHz++eeIi4tDEM8MfqGKi0NwcDAeeOABvPjii6hbt2627qQQQlxR3oKjKE6wSWGMLT1PjAcmTwHemZfSjY7T1nv3TelGx+2Y3qJoothhpKdoIfl6vBh616dPB8aMAc4kjWdr29YOJK1Uyd17J3KCpHrNS/PYY4+hVatWKFOmDL788kucOnUKsbGx5sbfKYjCwsLMOo8//niO7KwQQlwSihcOHd1/BDh4DIiLtWmqxR8BjRsAb86ywqdefWDJt8DYCVb4mOGj8SkDS0uXBK4uK0OzF8O3fPFi4IYbgJdftsLnllvsbK6PP5bw8WayHPm58cYbMW/ePBQsWPCix0JDQ3H33Xeb24QJEzCdEloIIXIbztI6GQlEnrV5C/p6OH9r1HBgx3a7TsVKwOChQOMmKdEc5/BRRoeY3iouX4+3s3699fWsXp3SxmnsWKBDBzXl9gWyLH4GDhyYpfUojrK6rhBCZAsJSb6eCBdfz/6DwNhRwHfL7To0bfTqDbTvaM0cyb6euKTHC9sUF/v1CK/l0CFg8GBg/nwb+aFVtV8/O5DUOZ5NeD+q9hJCeC4ULxxFwSoulrAH+gMJMcDUCcCCd203OpajP9ER6NWHYeqLfT0UOxQ9NDWrX4/XwpFsnLlFH09U0vSS9u2BceNYtOPuvRN5Xvzs3bsXW7duxa233mo8PqtXr8asWbMQHx+PBx98EO15NgkhRG74eih6ztGj4wcE+QMfvAdMnwKcPm3XY2pr0BCgcpWU7cwcrgQbHeIcrpAidnip8Er4li9cCAwYAOzfb5fdcQcwdSpQp4679054hPj56quv0KZNGyN0ihUrhnfeeQePPvooatWqZR7v0KGDKYN/+umnc2p/hRC+jvH1JPXr4ZgJipg1PwBjRgG7/rbrVK1mfT0NGqZsZ5oUxtlIUFgoUDwECFTw25tZt86Wqv/8s71foYKN/LRrpyCfr3NZX3dGjhyJPn36YP/+/ejatSs6duxooj7r1q0zt7feeguvvfZazu2tEMJ3YQrr2ClgzyHr7aE5+eBeoHNHoPOTVvhwyNLocbaKyyl8mBo7H2O9QPT1XF0OKF1CwseL2bcPYNExIzwUPvTysIydQ0kffVTCR1ym+Nm2bRsGDBiAq666yvw8e/YsHn744eTH27Vrh127dum4CiGyD4oXih2KHoofEh0FjBwKtGgGrFllx2lz8OjKNUD7DnbqJPMdnLgeHWf79YSXAcqXtjO5hFdy7pwdNMqZW0x10cLVuTPw11+2UaH68AonlxXzPXfunEl3EefPwuyMmkSRIkUQ5XSSCSFEdvh6TkSk9N4J8APmzwNenwGcTepGd/c9wIDBwDUVL/b1sNS9dNLwUW4vvFYfs3qLVVyHD9tlDRtaX0/t2u7eO5EXUcJbCJH3YMSGE9fZodkBK2JWLAPGjWbVhV2neg3glaFA3TtTtnP262HVF83MHD4qX49Xw4aEvXsDGzbY+5Ur24nrDzyg9JbIRvHDlFdm94UQ4ophxCYi0qa54pOGj+7YZoePslkhCSsF9HsZaNM2ZcrkhaR+PcxzUPBwAGl+pbe8GTos2Jvn00/t/aJFbcqrZ08gWG+9yE7xM2rUqMtZXQghsp63OH0WOMU5XHFAUAAQFQmMmgR8/JFNZfGK9nRXoNvzdhApMb6eOLt9oQJAyVD7U/16vJbISDthfcaMlPFsXbsCI0akjGcTIlvFzyuvvHI5qwshROZQvJw7b1Nc56Ntvx1/BzBnNjDzNduZjrRqDfQfyFBzynb09DBSVCAoafiofD3eXuw3d66dun78uF3WvLltXFijhrv3Tnga8vwIIdxDdIzt18MOzYQprqVfAePHAocO2mW1agNDhgM335KynTEzx9uKrtL09YTYsnfhtSxbZudwbdli77Oaa8oUoEULBflEDouf//u//8vyk/7www9XuDtCCJ+AJetnz9vxEsFBwOaN1tez/jf7eNmyNtJz/wMpVVrG1xNr7xtfTzG7rfBa2Jenb19gyRJ7n22chg8HunWz3Q2EyFXxc+TIEbz55puoV68ebrvtNrPs119/xY8//ohuPCuFECItFC+nksrTGfGhIfnkKWDSeODz/9rlbMTSrbvt2eNsysIuzrGxQCJ7axS0vh7O45Kvx2s5edJ6eGbNsukuBvl69LCGZgogIXJN/Ayn3E6CIy4mT55suj27MmXKFCOAhBAiGfpzzkZZX09yH7BE4I3pwFuzgZgYu+ihh4G+/YEyZVO2Y3qLVV9sTGh8PYXUr8eLiY8HZs60wiciwi5r1cqWrjPVJUR2cUVdvzjMtEuXLhct5zI+5m6++eYbtGzZ0gxf7dSpE/bs2ePuXRLC96B44ViJA0ftzVRxBSJ85UoENG8EzJhmhc+ttwOfLwFenZoifOjriYoB/PIBZUoA15QDihWR8PHiU+Wrr6xxmbO4KHxq1gSWLwe++ELCR+QR8eNwOLB+/fqLlv/222/mMXcLn1atWqF+/fomOnX69Gncdddd5qcQIpdgxObICWDfYduokMNHt/wJ/4cfxM3Tp8Pv6FEgvALwxmzgo8XAjTfZ7egBYjdnNitkrx6KHqa5nP18hNexaZOt2mKEZ+dOW67+5pu2aWHTpu7eO+GtXFG1F4eaPvLIIybtRc8PBQ+FD9Ne7vb8DBs2zEya5+wxUrduXZQpUwazZ89OXiaEyCEoXtigkN4eCiCKnmOHbQXX10vMt634AgWQr0cv+Hd5GgjOb7djn56YeH61AooUAkoWs/O45OvxWo4dY+84YM4c+/YHBdmoD2dwhYS4e++Et3NF4mf06NEoV64cpk6dmtz7p2LFihgxYgSef/55uAvOHqPx+kX+ByURHByMpk2bYuXKlRI/QuQUjPgywnOCTQpjbOl5YjwwZSrw9tzkbnQXHnkU393THE3uagR/RnO4XWy8FU0UO05fj0SP10Lv+qefVkHHjgE4k+R/b9sWmDABqFTJ3XsnfIUrEj/58uVDjx49zC0myayYP3/SNzg3cvDgQROFKssyWRd4f4uzQUQ6xMbGmpuTM0n/kfHx8eaWXTifKzuf09Pw9WPgda+f4iU61nZmZrNCP36qBMDvk4/gP/VV+J08YVZLvLMeLgwagvhrqyJ220bEs4SHx4DRocCkJoXFCtv0Fh/zYrzuHLiMU+W///XDwIH++Oef6mZZ7doOvPrqBdSvb+0SvnJIfPUcyI3Xn9XnzLL4+fnnn1GnTp2LlqcnetatW2fSTblNQtKHZhDjpy4w+pPZARk3bpyJWqVl2bJlKFiwYLbv53K6+HwcXz8G3vr6S/75J2q88w5CkooMzpUrh81PPYWjbImREANs22iWL9++Cb6Ot54D6fH33yF4550a2LKlpLkfGhqDDh224v/+bz/OngWWLoVP4kvnQG69/vPOrvDZJX4ee+wxVK9e3Xh6mjVrdpHAYASIZuM5c+Zg27Zt2L17N3KbEiVKmJ8n2STCBd4vWdL+06XHwIEDU5XtM/ITHh6O5s2boyin5WUTFGB8s3n8An20Q5evHwOveP00I3MOF2/8UhEUCBzYB//xY5HvO/th5ihaFIk9X0Rw+w64xflZkZiI+PPRWL5nJ5rVqIXAsBK2hN3H8IpzIIscOsRxFP74z3/84HD4IX9+B158MQE33bQC99/fGIGBNeGL+NI5kNuv35m5yTbxs3XrVuPxefrppxEREYGaNWuidOnSJs3EpoebN2824qNnz55YvHgx3AGNzfQiMUrFii8na9euRZMmTTLcjpEh3tLCNyUnTsycel5PwtePgUe+frpSOYqCDQqZ6gpM8vVMehVY8K5NVzFt9URH+PXqA//QUJgaLVdfT1IkNTC8LALTfIHyNTzyHMgi/PLNmVv08ThbO7Vvzyi7H8qUYaTngle//qzi68cgMAdef1afL8vih+ktRkheeuklM76CzQz3798PPz8/009n/Pjxpgu0u99IVqLNnDkTnTt3RqVKlbBgwQLs3LkTCxcudOt+CeGxULyw/Jyi51w0kM8PCPIHFr4PTJsMONtINGoMDBoCVLk2ZTszhyvBVn2VKm47M2+FDM1eCt9yftSysHb/fruMDohp0wCna8JHbS7C0w3PTHcxHcRbXmTQoEGmqeF1111nUl3M/7399tuoVauWu3dNCM8jNs6KnshzdswEh4+u+QEYPRLY9bdd59qqwOChQMP/S50a47aMBIWFAsVDgMAAXfm8mHXrbKn6zz/b++HhwMSJQLt20roi7+F1U90DAgKM2GGDwxMnTqBChQrpprSEEJnAFBZ79bBnD3+nr+efXcCYkcDqVXYdDlnq3Rd49HE7fCm5X0+c/T2kMFAi1Cd9Pb7Evn020uMMrhcqRB+lncLuHM8mRF7D68SPk9DQUHMTQlwGFC+M8jDaQxHDaE10FDB+ik1z0bfD1PZTnYEeLwBFk7rRGV9PHHDBYVNbbFLIIaTq1+O1nDsHjB9vvT3seMK3ulMn9oFjexF3750QPip+hBBX4Os5EWF/5ssHBOYDFrwNvDYdOJtUQXH3PcCAwcA1FS/29TAlVrqYjfhwe+G1+nj+fNuJ+cgRu6xhQ2DqVPbtcffeCZE1JH6E8HViYu3EdXZoZq85ihiWrI8dBezda9epXgN4ZShQ987Uvh4THfK3ZubQojZSJLyWVauA3r3t3C1SubKduP7AAwryCc/iij6p2AOHlV5CCA+GEZuISOvrib9gRc/O7cCo4cC6tXadsFJAv5eBNm1ThoteSPL1MM9BwcMBpPnl6/Fmdu0C+vfnWAp7n+3PhgwBevZkqxB3750QuSR+oqKiTK8feWqE8NC8BRsUciQFRUxQAHD+DDBqEvDxhzaVxSva012Bbs8DhQvb7bic63P7QgXstHX+lK/Ha4mMtB6eGTOSx7Oha1eADfE5fV0IT+WKEvPs9syGh2xwKITwEPj/ejYK2HsYOHw8qSmhA5gzG2jcAPhokV2nVWtgxSqgb38rfJxNCqNirFAqXwqoUFaGZi+Gp8bs2cC11wKvvmqFD7ub/PknMHOmhI/w0cjPP//8YxoJsnHg9ddff9Goi08++SS79k8IkR1Ex9gKLnZoJkxxfb0EGD8WOHjALqtVGxgyHLj5lpTtjJk53payl6avJ8RObBdey7JltkzdOQu6WjVgyhSgRQsF+YSPix/2zmEnZSFEHoftdJ39elimHhwEbN4IjB4BrP/NrsO65P4DgfsfSKnSMr6eWHvf+HqK2W2F17J9O9C3L7BkSUobp+HDgW7dbHcDIeDr4mc246FCiLwLxUvkWRvtYcqK6apTEcCk8cBnSa5VdqDr1h14pmtKNzp2cY6NBRJh01r09bBvj3w9XgvnQNPDM2uWTXcxyNejhzU0UwAJ4Y2oLlUIb/T1sHSdqS5WaPklAm9MB96abbvRkYcetp6eMmVTtmN6i1Vf7MjMSE/RQurX4+VBQfp3KHwiIuwyzoNm6TpTXUJ4M1csfljttXLlSuzbtw8J/LrgQl/GToUQuQfFCyetM9JD8QM/O0z088+ASeOAo0fterfeDgwZBtx4U2pfj4kOBQJlitk0l7OsXXjlqcLU1ksvATt32mU1a1pfT9Om7t47IfKw+Pn555/RsmVLFC5cGHv37kW1atWMCTouLg7Vq1eX+BEiN2HExjl8lL4empl/X299PRv/tOuEVwAGDAJatExJYXFdlq7T18NePYz2UAAJr2XTJmtmXrHC3me5OkvZu3SR3hW+xRWJH0Z2XnrpJQwcOBB+fn7Yvn07jh8/jieeeAI333xz9u+lEOJiKF5oZKahmQKIkZ5jh4EJ44ClX9l1WKre/QWgU2cgOL/L8NF4xgCAIoXsHK4C8vV4M8eOAUOHAnPm2LefBbqcwM4RFSFJ49mE8CWuSPz8+eef+PLLL83v+fLlQ2xsLMLCwowR+q677sK4ceOyez+FEK55C46iOMEmhTG29DwxHpgyFXh7bko3unaP2anrzm50zn49FE0UO05fj8zMXgu969OnA2PGAGeSxrO1bQtMmABUquTuvRPCw8TP2bNnUaxYMfN7qVKljO/n2muvNR2fT506ld37KIRwipfzSf16zp03th6TpvrkQ2DyJODkCXuc6tW3c7iuuz5lO87h4tR1fuVnBVdoEeU5vBi+5RxFwZEUu3fbZQzKc/hogwbu3jshvKDaq1GjRujXrx+6deuG9957Dzfd5GKkFEJkDxQuHEfBsRTMW9DXw/lb9PVs32bXqVgJGDwUaNwkta8nOs5Gh5jeKi5fj7ezfr319axendLGicH4Dh1UvCfEvxI/k1gLmcTEiRPRoUMHPPjgg8b4PH/+/Ct5SiFEeiQk+XoiXHw9+w8C40YDK5bZdWja6NUbaN/RRnbS+npCCtsUF/v1CK/l0CFg8GCAH8GM/OTPD/TrZ6M/zvFsQogrED8jR45Ep06dUlVzXXXVVabkXQiRjVC8cBQFU1wsYQ/0BxJigKkTgAXvJs3l8gee6Aj06gOEhqbv62G0h6Zm+Xq8lvPngcmTrY8nKml6Sfv2NtoTHu7uvRPCCwabvvbaa7jmmmtw7733YvHixYhnlywhRPZB8UI/z/4jwMFjNtoT5A8seh9oVN8amil8mNr69jtg+CgrfJxNCjl81D8fUDYMuLocULSwhI+Xwrf8gw+A666zlVwUPnXrAuvWAe+9J+EjRLaJn4MHD+LDDz8009wfeeQRE/Wh34el7kKIbPD1cNo6hc+5aOvr+flH4N7mwPAhwOnTQNVqwPz3gXnzgcpVUlJjNEJzNEVYKHBNeaB4iBVBwitZuxa44w4b4dm/3wqdhQuBn34C6tRx994Jkfe5rE9HTm9v27Ytvv76a9PcsEePHiYCxMnuLHF/5513EOWMuwohsgYjOcdOAXsOWW8PzckH9wKdOwCdOgK7/rZDlkaPA5Z8CzRomJIao+hhxIe+HkZ6SpcAAjW1xlvZuxd47DHgzjvZbBYoVMg2KdyxA3j0UQX5hMgqV/zVkFGfIUOGYNeuXfjuu+9w9dVX4/nnn0dZlhYIIS4NxQvFDkUPxQ+JjgJGDrXRntWr7DhtDh5duQZo38FOnWS+gxPXWcVFX094GaB8aTuTS3gl584Br7xiU1yLFlmR06kT8Ndf1uTsnEsrhMga2f4VkU0PhRCXICralq3zJ/9nAvMBC94GXpsOnE3qRnf3PcCAwcA1Fe19ih7O4YpLsCmx0sVsxEf/c16tj1m9xU7MR47YZQ0b2jlcaqYvxJVzxUqFjQ1Z/VW5cmU0adIEBw4cwJtvvonDhw//i90Rwgd8PYS+HpqTKWLWrATubgyMHWWFT/UawMKPgNlzU4QPfT1cnwKoVHGb4uIAUgkfr2XVKuDWW4HOna3wYUfmxYsBFtdK+AiRi5EfjrH47LPP8Pbbb2PFihWmu3PHjh3x9NNPmw7PQogMYMQmIhI4EWHvszPzrr+AUcNts0ISVgro9zLQpm1K9+UL7NcTZ/McFDscQJpf6S1vZtcu25uHHZpJ0aLAkCFAz55AsN56IXJf/JQrVw6RkZFo0aKFMTrfd999CKAHQQiRcd6C6S12Z6aI8fdDcEQE/IcMBD75yEZyeEV7uivwXHfrYCXG1xNnty9UwI6k4E/16/FaIiOteXnGjJTxbM8+C4wYwTFC7t47IbyLy1IunOT+1FNPGREkhMhCv54Tp4Hz0bbs3N+BfPPmoOkbM5CPA0nJ/a2B/oOA8uVTtqOnh5GiAkF2HIV8PV5f7Dd3ru3Vc/y4XdasmfX11Kjh7r0Twju5LPEziK47sLKgAKKjo3Nqn4TwbNiR+WSE7dBM6Ov5egkwfiz8Dx4wixJvqo18Q4cDN9+Ssp0xM8fbiq7SxW2aS5FVr2bZMjuHa8sWe79aNdut+d57FeQTIie5opxVkSJFcOLECZQsWTL790gIT4Udz08lzeHieIngIGDzRjt8dP1vZhVHmbL4/bFHceNzLyAfy9iTfT2xNs9hfD3F7LbCazlwoDAeeMAfS5fa+2zSzfRWt262u4EQIg9We3G+14gRIzTeQgineKGnh/16jkcA+fyAyAigX2/gwVZW+LARS+++SFi+EgdYq0yhw47MjBLR21O4IFChrB1LIeHjtZw8CfTunQ+9ejXC0qX5TGCvVy/g77+toVnCR4g8HPn53//+h59++gmLFi0yVV7s/OzKDz/8kF37J0Tehf6cs1HW1xPNmVr+gF8i8MZ04K3ZgNPX0/YRoG9/oHQZGxFylrwnMoccbCM9RQupbN3Lg4IzZ9roTkSEreRr2TIRkyfnM6kuIYQHiJ9GjRqZmxA+K3qMr+e0FT/wA4IDgc8/AyaNA44etevdVgcYMgyoeWNqXw/xyweUCbVpLmdZu/DKU2XJEhaLADt32mU1ajjw8MNrMXDgbQhkc0shhGeIH5a41+X4YCF8DRqSKXoiz9koDs3Mv6+3vp6Nf9p1wisAAwcD97i4Vrku01u8GpIKZYBCBd33OkSOs2mTNTOvWGHvh4UBo0YBTz6ZgG+/TSrrEkJ4jvjhENME1mcK4StQvNDITEMzBRAjPccOAxPGAUu/susULgx0fwHo1BkIzm+X0ddD0QMHUKQQUKwwsGurbXIovJJjx2zZ+pw5tk0TXQEvvmhHVISE2BSYEMIDxU+FChXw999/o0qVKtm/R0LkJRipOZPk66GHhxPXE+OBqdOAeXOBuKQqrXaPGUOz+Xrv3I4iiWMpOHzU6evRlwavJTYWmD4dGDMGOJM0nq1tW2DCBDuaQgiRd7gi8cNKr86dO2PGjBm44YYbLjI8C+HxULycj7EpLjYrZPaK0ZpPPgQmTwJOnrDr1asPvDIUuO76lO0oeGho5v9Fafp6isjX48XwLecoCo6k2L3bLuPsralTgQYN3L13QohsEz+c50Vq166d7uMOp69BCE+EwoWl6xxLwbwFfT0/r7NzuLZvs+tUrAQMHgo0bnKxr4cG5pLFbHdmpbe8mvXrra9n9Wp7v2xZYNw4oEMHFe8J4XXiZ/ny5dm/J0K4m4QkX0+Ei6/nwEFg7GhgxTK7Dk0bvXoD7TvayA6hQIqhkcMBFC1sU1wFkzw/wis5dAgYPBiYP99GfvLnB/r1s9EfWr+EEF4ofpo2bZr9eyKEu6B4oa+HKS6WsAf6AwkxwLSJwIJ3rUOV0ZwnOgK9+th2vIRXvdh4G/Ghr4fRHpqaNXzUa+FUH46fGD8eiEqaXtK+vY32hIe7e++EEFnlikeyX7hwAX/88Qd2796Nhx9+2CyLiopCIedUaiHyOhQvUdFJvp5o25k5yB9Y+D4wfQq70dn1mNoaNASoXCVlOzOHK8FGh0oVB0Lo61HPFm/WxwsXAgMHAvv322Xs9jFtGlCnjrv3TgiRK+Ln4MGDuP/++7Fx40ZT8u70+Dz66KN4/vnn0aJFiyt5WiFy19fj7NfDcnT6etb8AIwZBfz9l12najXr62nQMGU7p5mZkaCwUKB4CBB4xd8hhAewdi1HUgA//2zvM8IzcSLQrp2CfEJ4Klf0VbV3796oWbMmIiMjUy1/+eWXMXbs2OzaNyGyH5aaHztl53DR28PS9YN7gc4dgE4drfApXhwYPQ5Y8m2K8OFXf1Z/0QsUUhi4uhxQuoSEjxezdy/w2GPAnXda4cOg9ujRwI4d/KIn4SOEJ3NFX1lXrlyJLVu2oGDB1B1qb7rpJvz666/ZtW9CZB8UL4zyMNrDiixGa2LOA+OnAAvfs74dTpV8qjPQ4wWgaIiLrycOuOCwJmb6ejiEVL4er+XcOevpobeHrZ34Vj/1lO3fw2ouIYSPip/o6GgEJo0f9nO5CBw9evQiQSREnvD1nIiwP9mQkPOUFrwNvDYdOJvUje7ue4ABg4FrKl7s62FKrHQxG/Hh9sJr9TGrt9iJ+cgRu6xhQ2DKFNu3RwjhPeS70vEW8+bNSyV+YmJiMGDAAA08FXmHmFjg0HFg32EgKibJ17MSuLsxMHaUFT7VawALPwJmz00RPvT1cH0KIJqZmeLiAFIJH69l1Srg1luBzp2t8GFH5sWLGeWW8BHCG7miyM+rr76Khg0b4ptvvjFm5w4dOuCHH34wEaEff/wx+/dSiMuBEZuISOvpiU8aPrpzu21SuG6tXSesFNDvZaBN25TuyxfYryfO5jkodkqEAPmDdey9mF27bG8edmgmRYsCQ4YAPXsCwXrrhfBarkj81KhRw1R6zZw5E/7+/jhy5Agef/xx9OzZE1dddVX276UQWc1bsCszuzNTxAQFAOfPAKMmAR9/aCM5vKI93RXo9nxKNzou5/rcvlABoGSo/Slfj9fCWg2al2fMAOLibFDv2Wc5ugcoVcrdeyeEyGmuuEa3fPnyGEMHoBDuhuKF87c4fPR8tO234+8A5swGZr2e0o2uVWug/0DAKdDN8NEEGykqEGTHUcjX4/XFfnPn2qnrx4/bZc2aWV9PjRru3jshRG6hBiXCs2FH5pMRtkMzYYrr6yXA+LHAwQN2Wa3awJDhwM23pGxnzMzxQEAAULq4TXPxd+G1LFtm53Bt2WLvV6tmK7ruvVdBPiF8DX3aC8+EIydOJc3hYpl6cBCweSMwegSw/je7DuuSGem5/4EUs7Lx9cTa+8bXU8xuK7yW7duBvn2BJUvsfbZxGj4c6NbNdjcQQvgeEj/Cs6B4iTxr+/VwrhZ9PacigEnjgc+SXKsFCgDdugPPdLW/k8Skfj38yT499PWwb498PV7LqVPWwzNzpk13MbDXo4c1NFMACSF8F4kf4RnQn3M2yvp6omNshZZfIvDGdOCt2bYbHXnoYaBvf6BMWRdfT7yt+ioQbCM9RQupbN3Lg4KzZtnojnM8W6tWwKRJNtUlhBASPyJvQ/FifD2nrfiBnx0m+vlnwKRx7Kxp17v1dmDIMODGm1L7ekx0KNA2KTS+nqSyduGVpwpTW0xxcQQFqVnTmpmbNnX33gkh8hISPyLvwoiNc/gofT00M/++3vp6Nv5p1wmvAAwYBLRomZLC4rosXaevh716OHxUvh6vZtMma2ZescLeDwuzpexduqS0cRJCCCcSPyLvQfFCIzMNzWzCQuFy7DAwYRyw9Cu7Dnv0dH8B6NQZCM5vl9HPQzMzKVLIzuEqIF+PN3PsmC1bnzPHtmkKCgJefNGOqAhJGs8mhBBpkfgReStvceYccIJNCmNsiioxAZg6HZg3F4hLqtJq9xjQu6/9eu/cjlEijqWg2HH6emRm9lpiY4Hp0+2w0TNJ49natgUmTLCjKYQQIjMkfoT7oXg5H2NTXGxWyOwVfTqffAhMngScPGHXq3cXMHgocP0NKdtR8LCKi1/5S4cCoUWU5/Bi+JZzFAVHUuzebZdx6OjUqUCDBu7eOyGEpyDxI9wLhQvHUXAsBfMW9PX8vM7O4dq+za5TsRIwaAjQpOnFvh4aOhjp4Y2CSXgt69dbX8/q1SltnMaNAzp0UPGeEOLykPgR7oERm9PnrLeHKStWcB04CIwdDaxYZtcpGgL06g080dFGdggFUkw8YwBA0cJW9LCEXSkur+XQIevhWbDARn7y5wf69bPRH+d4NiGEuBwkfkTuQvFC9h+xc7UC/YGEGGDqBGDBu7YbHaM5FDy9+gChoXZ9XvVYtn4hyddDMzNNzRI9Xsv583b8xPjx9nfSvr2N9oSHu3vvhBCejMSPyB0oXqKigWMn7X1GewIDgEXvA9MmA6dP2+WNGtsUV5VrU7Yzc7gSbHSoVHEghL6epHEVwiv18cKFwIABwIGk8Wx16wLTpgF16rh774QQ3oDEj8gdX4+zXw8jO2xV+MtPNsW162+7zrVVrZm54f+lbOc0MzMSFBZq+/VQMAmvZd06W6r+88/2PiM8EycC7dopyCeEyD487kqyc+dOvPXWW9i+fTvGjRuHmmzhmoaNGzfizTffxNGjR83jvXr1QrFixdyyvz4NhY5z+Ch/pyF5z27UHTECARs22HU4ZIll648+njJV3fh64uzvIfT1hFpfj/Ba9u2zkR5GfEihQsDAgdbg7BzPJoQQ2YVH5Q4odlq1agV/f38sWbIEJ08mpVBc+OWXX1CnTh0kJiaadb/99lvcddddiI6Odss++yQULxQ8ew4Bx07ZZTHngZHDENDqHpTesAEOjtPm4NGVa6y/h8LHkdSkMDrO+nrCywDlS0v4eDHnztlBo5y5ReFDC1enTsBffwGDB0v4CCFyBo8SP08++aSJ+PTs2TPDdQYOHIjmzZtj1qxZZv2lS5diz549mDdvXq7uq09C8cI+PfsOA4eOWa9OYD5gwdtAo/rAe/Phd+ECDtepg4SvV1hvDyu6nE0Ko9jYMAAoFwZcXVaGZi/Xx++8A1StasdQsKdlw4bAb78Bb79ty9iFECKn8CjxU65cOfhlUt0TExODVatWoU2bNsnLmO5q0qQJvvnmm1zaSx+FEZtDx63woYhhv541K4G7GwNjRwFnzwA3VEfCe4vwC/MZ11yT4uvh+hRApUKBq8vZAaTs5Cy8ki1bSuCOOwLQuTNw+LDtyLx4MbBypW1YKIQQOY3HeX4yY9++fbhw4QKuuuqqVMvDw8Oxkp+sGRAbG2tuTs4k9cuPj483t+zC+VzZ+Zxuh9Gd02dsk0IKGc7h2rkd/mNGIh+bFTIgFBaGC336wdGmLcwr37YR8WYcRYyd0h5SyGX4KKu7vOj4+MI5kEV27aKvxw+ff36XuV+0qAODBiWie/dEBAcne+G9Hl8+B4ivv37i68cgPgdff1af063iZ9q0aVjhHMOcAXPmzEHZLMbA4zgEE0DBggVTLed952MZeYlGjBhx0fJly5Zd9FzZwfLly+GNBEdE4Pr330eF776Dn8OBC4GB2NW6Nf566CEk0LW6bWPyust3boYv463nQHpERQXg44+r4quvKiEhwR/58jnQvPkePProdhQrFofvvoNP4kvnQHr4+usnvn4MlufA6z/vbAqWl8VPo0aNUKVKlUzXCbmM0czOiq5Tp5JMtknQGJ1ZtRd9Qn1YVuIS+WG0iN6hokWLIjsVKd/sZs2aIZCGX0/u13MyEqCJnOkpRyLyvTMP+d6cCb+oKLNa4n33I7Hfy6hY/ipUdG4Xl4D4uFgs3/sXmt1+BwIZ7fGx9JZXnANZhJGct9/OhxEj8uH4cZuubtLkAu6/fxWefrouAgNTR2h9BV86B9LD118/8fVjEJ+Dr9+ZucnT4uemm24yt+yifPnyKFGiBP7880+0bNkyefkff/yB2rVrZ7hdcHCwuaWFb0pOnJg59bw5TnQscDICOGMFDgoWAL5eAowfCxxM6kZ3Uy1gyHDku+XWFEOZaVIYb83MpUsCe/9CYMlQzzwGvn4OZBF+oeP3ic1JAT5Wc02ZAjRtmoivvz7r9a8/K/j6MfD11098/RgE5sDrz+rzedXXbpqhO3TogLlz5yaXwVNd/v777+jYsaO7d89zYQ716Elg7yHbqJD9enZuA9o9BPR83gofpianzgA+/QK45Va73YVEGyWiF4gm5mvKASWTxlUIr2T7duC++4Dmza3wYRunGTOATZuAe+9Vo0IhRN7AowzP3333HaZOnWqqupzpKkZ6Hn/8cXMjo0aNMpGfatWqoWrVqtiwYQNGjhyJBg0auHnvPRCKl8iztjsz52oFBQCnIoBJ44HPPrXr0MvTrbvt2ePsRpfIOVxx9mfhglbwFMxvr3w+avDzdphppm1u5kyb7mKQr0cP28OHAkgIIfISHiV+KGi6detmfn+RPfCToMhxUrhwYXz//femyzM7PFevXt2UyIvLgP6cs1HAidNAdIwdL+GXCLwxHXhrtm3KQh56GOjbHyiTZEh39uuJ5/DRYDtxvWghn/P1+BLUsrNmAcOHAxERdlmrVsCkSTbVJYQQeRGPEj8sYU9bxp4RN954Y47vj9dB8WJ8Paet+GEZOoeJfv4ZMGkccPSoXe/W24Ehw4AbXfxa9PWY6FAgULqYTXMF+LvtpYicP1WWLAH69gV27LDLOGnG+np09IUQeRuPEj8iB2HExjl89MIF26Tw9/XA6BHAxj/tOuEVgAGDgBYtU8wbXJdzuBjdKRHi0q9HeCv079DM7OxSERZmuzR36WKDhEIIkdeR+PF1KF44h4sDSNkLicLl2GFgwjhg6Vd2ncKFge4vAJ06A8H57TL6edjVmRQpZFNcTl+P8EqOHQOGDmXvLTueIijITmAfNIgtKdy9d0IIkXUkfnw5b3EmyddDDw9TVIkJwNTpwLy5QFysjea0e8xOXefXe+d2pjszfT35U3w9Ej1eC5ufT58OjBnDHhp2Wdu2wIQJdjSFEEJ4GhI/vgbFy/kYm+LiEFIGaujT+eRDYPIk4OQJu169u4DBQ4Hrb0jZjoKHVVz8yl86FAgtojyHF8O3/NNPgf79gd277TLO3po6FVDxpBDCk5H48SUoXE5F2jlczFvQ18P5W6OGA9u32XUqVrLT1ps0vdjXQ0MHIz28UTAJr2X9euvrWb3a3mcbp3HjgA4dVLwnhPB8JH58gYQkXw9vTFmxguvAQWDsaGDFMrtO0RCgV2/giY42skMokGLYl8cBFC1sRQ9L2JXi8loOHQIGDwbmz7eRn/z5gX79bPSH1i8hhPAGJH68GYoX+nqY4mIJe6C/naQ+bSKw4F3bpIXRHAqeXn2A0KTuy7zqsWz9QpKvp2Qxa2qW6PFaOAtw8mTr40kaz4b27W20Jzzc3XsnhBDZi8SPN5I8fJS+Hg4f9bPCZ9H7wPQpKd3oGjW2Ka4q16ZsZ+ZwJdjoUKniQAh9PWpS6K3wLV+4EBgwANi/3y6rWxeYNg2oU8fdeyeEEDmDxI83+nqc/XpYjk5fz5ofgDGjgL//sutcW9WamRv+X8p2TjMzI0FhobZfT6BOD29m3Tpbqv7zz/Y+IzwTJwLt2inIJ4TwbnR18xY4UOlUkq+Hv9OQ/M8uYMxIYPUquw6HLLFs/dHH7fClZF9PnP09hL6eUOvrEV7Lvn020sOIDylUiHPyrMHZOZ5NCCG8GYkfT4fihVEeRnsoYhitiTkPjJ8CLHzP+nYCA4GnOgM9XrDG5mRfT5wdXlqwgPX1cAipfD1ey7lz1tPz6qu2tRPf6qeesv17WM0lhBC+gsSPp/t6TkTYn2xIGJgP+M87wIxpwNmkbnR33wMMGAxcU/FiXw9TYpzDxYiPho96tT5m9RaruA4ftssaNrRzuNi3RwghfA2JH0+EYyVORtqIj6lHDgK+Ww6MGw3s2WPXuaG6HT5a987Uvh4THfIHSrFJoXw93g779PTuDfz+u73PjsycuP7ggwryCSF8F4kfT4IRm4hI6+uJTxo+unO7HT669ie7TlgpoG9/4KGHU7ovM7VF0cM8B6etcwBpfvl6vJldu2xvHnZoJkWLAkOGAD17AsF664UQPo7Ej6fkLdiVmd2ZKWKCAoDzZ4BRk4CPP7TRn6Bg4Olngee6p3Sj43Kuz+0L0dcTan/K1+O1REZaDw9ncXFOLbOZzz4LjBgBlCrl7r0TQoi8gcRPXobihfO3OHz0fLTtt8N3bO6bwMzXUrrRtWoN9B8IXHVVynb09DBSVCAIKC5fj7fDAr+5c+3U9ePH7bLmzW3jwho13L13QgiRt5D4yauwI/PJCNuhmTDF9fUSYPxY4OABu+ymWsCQ4cAtt6ZsZ8zM8baUvXRxm+ZylrULr2T5clumvnmzvV+tmjUzt2ihIJ8QQqSHrop5DY6ccPbrYZl6cBCwZZP19fz2q12HdcmM9Nz/QEqVlvH1xNr7xtdTzG4rvJbt24G+fYElS1LaOA0fDnTrZrsbCCGESB+Jn7wCxUvkWduvh3O16Os5FQFMGg98luRaZQe6bs8Dz3RL6UaXmNSvhz/Zp4e+noL59ZXfizl1ynp4Zs606S4G9nr0sIZmCiAhhBCZI/HjbujPORtlfT3RMbZCyy8RmDkDeHOW7UZHWL3FKq4yZV18PfG26osdmRnpKVpI/Xq8PCg4a5aN7jjHs7VqZUvXmeoSQgiRNSR+3AXFi/H1nLbiB352mOgXn9loz5Ejdr1bb7f9em68KbWvx0SHAm2TQuPrSSprF155qjC1xRTXjh12Wc2a1tfTtKm7904IITwPiR93wIgNIz1sUkhfD83MG34HRg0HNv5p1wmvAAwYBLRomZLC4rosXaevh716OHxUvh6vhiZmmplpaiZhYcDo0UCXLiltnIQQQlweEj/uYN+RFDPz8SPAhHHAki/tY+zR0/0FoFNnIDi/XUY/D83MpEghm+KSr8erOXbMlq3PmWPbNAUF2QnsgwYBIUnj2YQQQlwZEj+5Ca9i5EICkHgBmDodmDcXiEuq0mr3mJ26zq/3rr4ejqXIn98OH6WvR00KvZbYWGDGDBvdOZM0nq1tWzuQlKMphBBC/HskfnKbCxfg999P7PDRE0nd6OrdBQweClx/Q4rooeBhFRe/8pfmHK4iynN4MXzLOYqCIyl277bLOHR06lSgQQN3750QQngXEj+5iN/Klfi/l15CgHP4aMVKwKAhQJOmF/t6aOhgeos3GpuF18Khoxw+yiGkzjZO48YBHTqoeE8IIXICiZ/c4vhx+D/4IEJiYuAoWhR+vfoAT3S0kR1nSiwmnjEAoGhhK3pYwq4Ul9dy6BAweDAwf76N/DCz2a+fjf44x7MJIYTIfiR+couwMCT27Yu9GzYgfPBwBPLrPeFVj2XrjPgUSPL10NQs0eO1xMbmw9ix+Ux/Hud4tvbtbbQnPNzdeyeEEN6PxE8ukvjKK9j0zTcILxZqRY+Zw5Vg+/uUKg6E0NeTNK5CeB18yxct8kOfPk1w4oStU69bF5g2DahTx917J4QQvoPEj7tGWZxP6uYcFmr79QTqrfBm1q2zvp516/g+ByA83IGJE/3Qrp2CfEIIkdvoiuuuEECxIkCJUOvrEV7Lvn3AwIHABx/Y+4UKOfDAA9sxc2YVFC0qI7sQQrgD5VhyE6eP56rSQPnSEj5ezLlzdtAoZ25R+PCt79QJ2Lo1AQ8/vDN5Lq0QQojcR+LHHeKH09dlaPZKWLT37rtA1aq2USHn0jZsCPz2G/D227aMXQghhHtR2kuIbIJ9eujrYd8ewo7MrOh68EFpXSGEyEso8iPEv2TXLuChh2yEh8KnaFFg4kSmuIA2bSR8hBAir6HIjxBXSGQkMGYMMH06EBdnuzE/+ywwYgRQqpQOqxBC5FUkfoS4TBISgLlz7dT140nj2Zo1A6ZMAWrU0OEUQoi8jsSPEJfB8uVAnz7A5s32Pqu5Jk8G7r1X6S0hhPAU5PkRIgts3w7cdx/QvLkVPqGhwIwZwKZNQMuWEj5CCOFJKPIjRCacOmU9PDNn2nRXQADQvbtNeRUvrkMnhBCeiMSPEOkQHw/MmgUMHw5ERNhlrVrZ0nWmuoQQQnguEj9CpJk8smQJ0LcvsGOHXVazpjUzN22qQyWEEN6APD9CJEEvz9132wgPhU9YGPDmm8CGDRI+QgjhTSjyI3yeY8esh2fOHDueIigIePFFYNAgICTE5w+PEEJ4HRI/wmeJjbUVW5zBdeaMXda2LTBhgh1NIYQQwjuR+BE+6ev59FOgf39g92677OabgalTgQYN3L13QgghchqJH+FTcPYWh49yCCnhlPVx44AOHex4CiGEEN6PxI/wCQ4dAgYPBubPt5Gf/PmBfv1s9KdwYXfvnRBCiNxE4kd4NdHRdvzE+PFAVJRd1r69jfaEh7t774QQQrgDiR/hlTC6s2gR8PLLwP79dlndusC0aUCdOu7eOyGEEO5E4kd4HevWWV8PfxJGeCZOBNq10wwuIYQQEj/Ci9i3DxgwAFi40N4vVAgYONBOYS9QwN17J4QQIq+gyI/weM6ds715Xn0ViImx0Z2nngLGjLHVXEIIIYQrEj/CY2E3ZlZvsYrr8GG7rGFDO4eLfXuEEEKI9JD4ER4J+/TQ18O+PYQdmTlx/cEH5esRQgiROWrrJjyKXbuAhx6yER4Kn6JFrejZuhVo00bCRwghxKVR5Ed4BJGR1sMzfToQF2e7MT/7LDBiBFCqlLv3TgghhCch8SPyNAkJwNy5dur68eN2WbNm1tdTo4a7904IIYQnIvEj8izLl9sy9c2b7f1q1Wy35nvvVXpLCCHElSPPj8hzbN8O3Hcf0Ly5FT6hocCMGcCmTUDLlhI+Qggh/h2K/Ig8w6lT1sMzc6ZNdwUEAN2725RX8eLu3jshhBDegkeJH4fDgaVLl+Knn35CQEAA7rrrLjSjASQNBw8exIIFC3D06FHUrFkTHTp0QFBQkFv2WVya+Hhg1ixg+HAgIsIuY+SHTQuZ6hJCCCF8Mu2VmJiIG2+8EbNnz0ahQoVw4cIFPProo+jcuXOq9bZv324Ez9q1axEWFoZJkyahadOmSGAoQeS54aNffQXUrAn06mWFD03M9Pp8+aWEjxBCCB+P/Pj5+eGjjz7C9ddfn7ysUaNGRtj06tULN910k1n28ssvm98///xzs02nTp1QsWJFvPfee3iKMw9EnoBeHk5cp9AhYWHAqFFAly423SWEEELA1yM/FDKuwoc47x85csT8jI+PxzfffIPHHnvMrE/KlStnRNIXX3zhhr0WaTl2jCmuG3HrrQFG+DAb2b8/8NdfQNeuEj5CCCFyHo/+jj137lyTArvtttvM/b179yIuLs5Eelzh/R9//DHD54mNjTU3J2fOnEkWU7xlF87nys7n9BR4eF9/PR/GjQvAmTP2/XnwwUSMG3fBjKYgvnBYfPkcIL7++omvHwNff/3E149BfA6+/qw+p1vFz/z58403JzNGjRplvDtp+fbbb81jM2fORPGkUqDo6Gjzs0iRIqnWLVq0KM6fP5/h3xg3bhxGsMwoDcuWLUPBggWR3Sx35np8xNezdm1ZzJ9fHUePFjLLKlU6jS5dNqN69ZOmrJ03X8OXzoH08PXXT3z9GPj66ye+fgyW58Drz+xan2fET4UKFZIFS0YEBwdftOyHH35AmzZtMHz4cDzzzDOpRA45ffp0qvUjIiKSH0uPgQMHog+76blEfsLDw9G8efNMt7sSRco3mxVqgYGB8HY2bAD69vXHmjU2u1q2rAPDhsWhVKlVuPtu3zgGvn4OpMXXXz/x9WPg66+f+PoxiM/B1+/M3ORp8UMvDm+Xw+rVq3HfffdhwIABGDx4cKrHKFgY9dm6dSvuueee5OW8X7169UwFVnoii29KTpyYOfW8eYVDhwC+NfPn28hP/vxAv3709vghODgfli71/mNwKfT6ffv9JzoHdA7oHAjM9s+BrD6fxxieyZo1a3Dvvfeaiq4hQ4Zc9Hi+fPnwyCOP4J133kkOfa1fv970BWJZvMhZGMQbPRqoWhV4910rfB5/HNixAxg5EihcWO+AEEII9+Mxhudz586hZcuWxuDMJobdunVLfoxNDOvVq5fs32E0qXbt2qbknaE1psa4rcgZKHIWLbKl6/v322V16wJTp9qfQgghRF7CY8QPOzpPnDgx3cdKlCiR/DvN0b///jtWrFhhOjwzSnTLLbfk4p76FuvWAb17258kPByYMAFgoC2p24AQQgiRp/AY8ZM/f/5U0Z7M4CgLpsdEzrFvH43iwAcf2PuFCgEDBgAvvQQUKKAjL4QQIu/iMeJH5A3OnbORHc7diomx0R02zqbXp1w5d++dEEIIcWkkfkSWSEwEFiwABg0CDh+2yxo0sL6em2/WQRRCCOE5SPyIS7J6tfX1/P67vc+OzJMmsUOzfD1CCCE8D48qdRe5y+7dQNu2QMOGVviw3yM951u3Am3aSPgIIYTwTBT5ERcRGQmMGQNMnw7ExbF/EvDsswAngJQqpQMmhBDCs5H4EckkJHBYLDB0KHD8uF3WrBkweTJQs6YOlBBCCO9A4kcYOF+O4802b7b3q1WzoocdA9SvRwghhDchz4+Pw4nq990HNG9uhU9oqE13bdoEsCm2hI8QQghvQ5EfH+XUKevhmTnTprsCAoDnnweGDQOKF3f33gkhhBA5h8SPjxEfD8yaBQwfDkRE2GWM/LBpIVNdQgghhLcj8eNDw0eXLAH69rVT1kmNGsCUKdbULIQQQvgK8vz4APTy3H030KqVFT5hYcDs2cCGDRI+QgghfA9FfryYY8ds2fqcOXY8RVAQ0KsXMHgwEBLi7r0TQggh3IPEjxcSGwvMmGGHjZ45Y5c99JAdSFq5srv3TgghhHAvEj9e5uv59FOgf387moLUrm2Hj3JEhRBCCCEkfrwGzt7i8FEOISVlygDjxgEdO9rxFEIIIYSwKPLj4Rw6ZD088+fbyE/+/Lai6+WXgcKF3b13QgghRN5D4sdDiY624yfGjweiouyyxx6z9ytUcPfeCSGEEHkXiR8Pg9GdRYtsZGf/frusTh1g2jSgbl13750QQgiR95H48SDWrbO+Hv4k4eE20sOIj2ZwCSGEEFlD4scD2LcPGDgQ+OADe79QIWDAADuFvWBBd++dEEII4VlI/ORhzp2zvXk4dysmxkZ3nnwSGDMGKFfO3XsnhBBCeCYSP3kQdmNesAAYNAg4fNgua9DA9uu5+WZ3750QQgjh2Uj85DHYp4e+HvbtIRUrApMmAW3ayNcjhBBCZAdqf5dHYEfmtm1tJ2YKn6JFgYkTgW3b7GgKGZqFEEKI7EGRHzcTGWk9PNOnA3Fxthvzs88CI0YApUq5e++EEEII70Pix00kJADz5gFDhgDHj9tlzZrZxoU1a7prr4QQQgjvR+LHDaxY4WeGj27ebO9Xq2ZFz733Kr0lhBBC5DQSP7nIjh3A6NF18Ntv9rCHhgLDhwPPPQcEBubmngghhBC+i8RPLsHU1m23BSAmpgwCAhx4/nk/DBsGFC+eW3sghBBCCCLxk0uEhbFBYSLWrz+Od94pgRo1FOoRQggh3IHETy4yZUoili//GdWq3Zubf1YIIYQQLqjPTy4iX48QQgjhfiR+hBBCCOFTSPwIIYQQwqeQ+BFCCCGETyHxI4QQQgifQuJHCCGEED6FxI8QQgghfAqJHyGEEEL4FBI/QgghhPApJH6EEEII4VNI/AghhBDCp5D4EUIIIYRPIfEjhBBCCJ9CU93TweFwmJ9nzpzJ1oMdHx+P8+fPm+cN9NEpp75+DPT6ffv9JzoHdA7oHIjPsc8B53XbeR3PCImfdDh79qz5GR4enq1vihBCCCFy5zoeEhKS4eN+jkvJIx8kMTERhw4dQpEiReDn55etipSCav/+/ShatCh8EV8/Bnr9vv3+E50DOgd0DpzJsc8BShoKn3LlyiFfvoydPYr8pAMP2FVXXYWcgm+2r37wO/H1Y6DX79vvP9E5oHNA50DRHPkcyCzi40SGZyGEEEL4FBI/QgghhPApJH5ykeDgYAwbNsz89FV8/Rjo9fv2+090Dugc0DkQ7PbPARmehRBCCOFTKPIjhBBCCJ9C4kcIIYQQPoXEjxBCCCF8CvX5yWXY1CkiIgKVK1dGoUKFUj128uRJbNu27aJt6tSp4zWjAKKiovDXX3+hVKlSpglVRk0mt27digsXLqBGjRrw9/eHN3HixAls374d1113HUqWLJnqsX379pmbK3zveQ54C2xCtn79emN2rFmzZrrrxMXFYfPmzeZ/pFq1avBWoqOjzbFIC49LVnqVeCL8/2cTuhtuuAH58+eHr+ALn+/pERkZaf6XK1WqhLJly6a7zvHjx7Fnzx5cffXV5tqQK7DDs8h5PvvsM0f16tUdV111laNmzZqOQoUKOUaMGJFqnY8//tjh7+/vqFevXqrbyZMnPf4tOnjwoKNDhw6OkJAQR61atRzFihVz1K9f37F3795U623ZssVRpUoVR5kyZRzly5d3VKhQwfHrr786vIGtW7eaY1C2bFl2VXcsXLjwonWGDRvmKFq0aKr3v2XLlg5vICEhwTFhwgRH5cqVzXnA15Ye3377raNkyZKOihUrOooXL+6oXbu248CBAw5vZNu2beZcuO2221K9595yzrty9OhRR926dc3/Pv/HQ0NDHZ9//rnDV/Dmz/f0+OeffxzPPPOM+Szn637ttdfSXa9v376O4OBgxw033GB+9uzZ05GYmOjIaSR+colp06aZi5+T77//3hEQEOBYvHhxqn8OXhS8kZ9++snxn//8x1wAyZkzZ8w/fqNGjZLXuXDhghGIbdu2TT75n3zyScfVV1/tiI2NdXg6fK/nz5/vOHv2bKbiJyNR4Onwdffr18/x999/O7p27Zru6+SFgP8DQ4cONfdjYmLMes2aNXN4s/jZv3+/w9t54IEHHLfeeqsjKirK3B83bpyjYMGCjsOHDzt8AW/+fE+Pb775xvHmm2+a/3u+7vTEz3vvvecoUKCAY/369eb+n3/+ac6JefPm5fj+Sfy4kRo1ajh69+6d6p+D3/oZ/di0aZMjOjra4c3Mnj3bKH2n0KFA4oXgjz/+SF6HF0ou+/rrrx3eQnx8fKbi5/bbb3ds2LDBsWPHDrOuN5KR+Hnrrbcc+fPnNx+YrlFTHq99+/Y5vFX8rF692vH777+bLwXeyPHjxx358uVzLFq0KHkZP9+KFCnimDp1qsMX8LXPd1cyEj+NGzc2X3ZdefTRR3PlC6AMz27M//7zzz+oUqXKRQPvWrdubW7FixfH2LFj4a38+uuvJg/sHB67YcMGBAQE4MYbb0xeh94oHgc+5iv89ttvaN++PRo1amRy5B988AF8Bb7P9PgULlw4edntt99ufv7xxx/wVh577DE88cQTKFGiBLp164bY2Fh4Exs3bjRevltuuSV5Gf0+9Db50v+2L32+ZwW+967nhPP/PTfOCRmerxAatHbs2JHpOhQ2ZcqUuWg5I27PPPMMwsLC0KFDh+TlNHv9/vvvqF27trn/1Vdf4YEHHjDTb13XyyusW7cOCQkJGT5Os6rztaTl22+/xTvvvIP33nsvedmpU6fMB4JTDDnhBYGP5TX27t1rDOyZQSF3OYP7aH6kKK5QoYI5TyZPnoyOHTvi2muvxW233Ya8BE3Jv/zyS6br8By/HMMy32e+36447+fFcyA9Q/+lPrhp9KfoJxR5/D9v2bKluf/nn38a0Uuz84QJE+AtON+79N5bT3hfswNP+3zPafj5dvr06XTPifPnz5svADnZAVri5wrhB9zIkSMzXadfv35G4aele/fuWL16NX744QcUKVIkeXnai9t9991nbosWLcqT/xwjRowwVRsZwQ/4BQsWpCuaHn74YQwcONB843XCioeYmJh0K2KCgoKQ1/j6669Tibf0mDVrVoYVTenRokWL5N8pAvv27Ys333wTn3zySZ4TP6ziGDBgQKbrNG3aFMOHD8/yc6Z3DvD9J3nxHEjL4cOHL3lMHnroIfTu3dv8ftVVV5mbk5tuugnPP/88/vOf/3iV+HFWM6X33ubEVO+8iKd9vuc0/HxjpD+j//ecroCT+LlCmjdvbm6XS8+ePfHRRx/hu+++M2Xcl6J06dL4+eefkRfhxf9y4Wu5++67zQf86NGjL/pmxLAwBZVTFDK6wCgbIyF5DaYneMtpWPp58OBB5DUY1fnf//6Xrc/Jc2DNmjWpljlfe148B9KL9v7bY8L/+bz4fv/b95XwdbmWO/N+Vj4HvZW8/PmeG/B/Ou25zvv8QpAvX866cuT5yUVeeOEF499YsWKF+YaXXsjclfj4eKxatcprPhzo8aHwoWAYP378RY8z3M9vAl9++WWq9BgFECMIvkDac+Do0aPGL+Et58ClaNasmUkn8jU7+fzzz1GsWLE8F/nKifebLF++3Oveb0Y/eaH/4osvkpft3LnT9L3he+4LePvn+5XA957pP6bACH/yHMmNc0KRn1xi0KBBmDlzJqZNm4Zz584lfzt09UQ8+eST5pvjnXfeaS74XJ9Rj1deeQWezpYtW0ykjBewVq1apfp2XLduXSN6+OHIdABFIvO9DHv279/f+KNofPZ0mN9msy82byT0jPE48Juw8/U1bNjQpEVq1apl3vuJEycaj0huRJhyAzb0Y1j7yJEjJsrnPA/uuuuu5NfP1F+7du1MWpnijz95HDwh7XW5jBo1yhQ/8H+DBmBGhSn4Kfi8CTYqpbn3ueeeQ2hoqPnGz7S58/32Bbz58z09eJ1zFinwM2/37t3m/52NXdnglbz88sv48MMPTdqP//OLFy82nkem+XMaTXXPJTp16mQ6m2bmieAFn/6OlStXGgVMsyyFQNouwJ4I1X160R6yZMmS5G62rAiZO3eu+fDn7/fee6/5wKQ48nQY3n7ppZcuWk7TI709hObP119/3axLwzgN0EwRFihQAN7Ao48+igMHDly0nN+AnZ28KY6mTJlilhUsWND4wvjB6I3w/3zhwoUm2kkxyC9C9AR6g9hPj88++8z4AJnarlevnvFFpu1076148+d7evDLXZcuXdKN8FP0u0YAJ02ahF27dqFixYrms/D6669HTiPxI4QQQgifQp4fIYQQQvgUEj9CCCGE8CkkfoQQQgjhU0j8CCGEEMKnkPgRQgghhE8h8SOEEEIIn0LiRwghhBA+hcSPEMLnYaddNtvMCDbc5ABKdmO+3OGv//3vf33++AqR1/D8trlCCI+GIyw2bdpkBAZn3nHMiRN2wmX7e462aNOmTart2AWbYwLq16+fvJ4TTgqvWrWqGSeQFfr06WO6Krds2TLdx/l32Gl67dq1KFGixEV/jx3IOabk9ttvTzWNmvvBDu5cP+3+CyHchzo8CyHcxpAhQzB58mQjGjjmgCKoQYMGeOutt8xoi4SEhGQxwREQ9913X/K2Tz31FE6cOGFGpzjX45w4ThBnxIXjMe6//34zTDizCdH8m9zu0KFDyWNW0hITE2NGjFD8cN20f49DKvk858+fx9KlS83oAif8+5xPxiGefn5+2Xr8hBBXhtJeQgi38MMPP2D06NFmijl/Z9ppz549JvrCOUiuVKpUCQMGDEgeCpsRnIvF9NTXX3+N1atXm+iMa4QmPd544w0zXy2t8OEsPs6Y4zDaS/09DmTcvn07ypcvnzyrz8mDDz6IgwcP4rvvvst0P4QQuYfEjxDCLVBUcJI5p1wnfyDly2fSS5z87QoHYO7fvx/z58/P8vPfeuutCAsLw59//pnpehRdjRs3TrVswoQJqFmzJl577TWzP1lJWXHfw8PDzTRrVxgxYoSIESohRN5Anh8hhFtgqosRHk6tZwSlevXqGaaFOPmaAmjYsGFGjGRlyv2pU6cQERGBUqVKZbjOsWPHzJT5G264IVXEZ/DgwWYCOdNs9Ou0b98+3e3XrVtn/D5Mg1FkMYLFSFBaKKToURJC5A0U+RFCuE38LFy40HhzKA6YdmrVqpVJg2VkSmbaa8aMGRk+J8UIxQc9Qy1atDAmZnqDMoKeIeIaaWIK69prr032F1GQUXilx/r1641I+uKLL8x+X3fddShTpsxF6/H5nX9LCOF+JH6EEG6jXbt22Lp1q4m+vPPOOybK0rx583RTRDRAM/Izfvx4E9XJTIxQVP3xxx9m/eLFi2f49wsXLmx+RkVFJS/bt28frrnmmlTrVaxYMVPPz0cffWT+3i233IJ7773XVIe5wucvUqTIJY6GECK3kPgRQrgdGoUfeughU9HFFBQrpNKjS5cuphR+zJgxmYqRlStX4u2338aTTz6J33//PcO/W65cOSOA/vnnn+RlLGVnusyVtPczgmZtepOYOnOFz1+tWrUsPYcQIueR+BFCuAWWlqeNkLDXD5cVK1Ys3W3or6HwYYXW3r17M31++nSaNGmCF154IcN1+Hwsrf/xxx+Tl911111GMFHEOPn000+z9Jr+/vtv89O1VxH56aef0LRp0yw9hxAi55HhWQjhFmgAfumll0yZ+fXXX2965TB9xG7LPXr0yHA7RoheffVVYy7OqCmha9VW7dq1Tcl669at013nmWeeMX+Pz+nv74+7777bCCKKlZ49e+LIkSMmJZeZ4ZmibefOnZg2bRqee+45Y9B2QmF15swZPPzww1k+NkKInEWRHyGEW2D/G0ZE2CTw119/NaXvFEKMnjirr1g+Tl8QS8hdmTp1qllOkeK6XlqvDpsNjho1yvhxMoKNEFkS/8knnyQvY/qNoogeIpbjs7khn98papx/jyZmeozoUTp79izef/99zJw5M9Xzs1z+xRdfTPYXCSHcjzo8CyF8HkZw2JmZnZizE3qFevfujVmzZmWpPF8IkTtI/AghhBDCp1DaSwghhBA+hcSPEEIIIXwKiR8hhBBC+BQSP0IIIYTwKSR+hBBCCOFTSPwIIYQQwqeQ+BFCCCGETyHxI4QQQgifQuJHCCGEED6FxI8QQgghfAqJHyGEEELAl/h/veL6GtYbjN8AAAAASUVORK5CYII=", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the residual error variance (errVar) values vs ground-truth SNR\n", "nr = channel.rxAntenna.numEl\n", "meanErrVarDb, minErrVarDb, maxErrVarDb = [], [], []\n", "for snrDb in snrDbs:\n", " errVarDb = toDb(1/(np.array(errVars[snrDb])*nr)) # Estimated SNR in dB\n", " meanErrVarDb += [ errVarDb.mean() ]\n", " minErrVarDb += [ errVarDb.min() ]\n", " maxErrVarDb += [ errVarDb.max() ]\n", "\n", "plt.plot(snrDbs, snrDbs, color='blue', markersize=1, label=f\"SNR (dB)\")\n", "plt.plot(snrDbs, meanErrVarDb, color='red', markersize=1, label=f\"Average errVar (dB)\")\n", "plt.fill_between(snrDbs, minErrVarDb, maxErrVarDb, color='pink', alpha=.5, label='Range of errVar')\n", "plt.title('errVar vs SNR')\n", "plt.xlabel('SNR (dB)')\n", "plt.ylabel('errVar (dB)')\n", "plt.grid()\n", "plt.legend()" ] }, { "cell_type": "code", "execution_count": null, "id": "60d0fd0f-3761-463f-8aa3-58c33eb7b45a", "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 }