{ "cells": [ { "cell_type": "markdown", "id": "520abdd0", "metadata": {}, "source": [ "# Polar Codes in 5G\n", "Polar codes in 5G are used for forward error correction for small to medium payload sizes which is typically the case for broadcast and control channels. The broadcast channel and control channel are used to carry the *master information block* (MIB) and *downlink control information* (DCI) repsectively. This tutorial covers the following content:\n", "\n", "\n", "## Table of content:\n", "* [Symbol Mapping Configurations](#Symbol-Mapping-Configurations)\n", "* [Simulation Parameters](#Polar-Coder-Configurations)\n", "* [Simulation for BER vs SNR](#Simulation:-AWGN-Channel)\n", "* [Performance Evaluation](#Performance-Evaluations)\n" ] }, { "cell_type": "markdown", "id": "3d444d3c", "metadata": {}, "source": [ "## Import libraries\n", "### Python Libraries" ] }, { "cell_type": "code", "execution_count": 1, "id": "b3247ee3", "metadata": {}, "outputs": [], "source": [ "import os\n", "os.environ[\"CUDA_VISIBLE_DEVICES\"] = \"-1\"\n", "os.environ['TF_CPP_MIN_LOG_LEVEL'] = '3' \n", "\n", "# %matplotlib widget\n", "import matplotlib.pyplot as plt\n", "import matplotlib as mpl\n", "from mpl_toolkits.axes_grid1.inset_locator import zoomed_inset_axes \n", "from mpl_toolkits.axes_grid1.inset_locator import mark_inset\n", "\n", "import numpy as np" ] }, { "cell_type": "markdown", "id": "08bfdb09", "metadata": {}, "source": [ "### 5G Toolkit libraries" ] }, { "cell_type": "code", "execution_count": 2, "id": "862a2654", "metadata": { "scrolled": false }, "outputs": [], "source": [ "# import sys\n", "# sys.path.append(\"../../../dist2/python3_11/\")\n", "\n", "import sys\n", "sys.path.append(\"../../../\")\n", "from toolkit5G.SymbolMapping import Demapper\n", "from toolkit5G.SymbolMapping import Mapper\n", "from toolkit5G.ChannelCoder import PolarEncoder5G\n", "from toolkit5G.ChannelCoder import PolarDecoder5G" ] }, { "cell_type": "code", "execution_count": 3, "id": "8c0082d1", "metadata": {}, "outputs": [], "source": [ "# from IPython.display import display, HTML\n", "# display(HTML(\"\"))" ] }, { "cell_type": "markdown", "id": "e8522b72", "metadata": {}, "source": [ "## Symbol Mapping Configurations\n", "Symbol mapping/Demapping is performed for:\n", "\n", "- **QPSK** constellation defined by ``constellation_type`` which encodes\n", "- 1 bit per contellation symbol defined by ``num_bits_per_symbol``.\n", "- The demapper generates log likelihood ratios configured by ``hard_out`` \n", "- using a Log-Map (**\"app\"**) decoder defined using ``demapping_method``." ] }, { "cell_type": "code", "execution_count": 4, "id": "c9243d31", "metadata": {}, "outputs": [], "source": [ "constellation_type = \"qam\"\n", "num_bits_per_symbol = 2\n", "hard_out = False\n", "demapping_method = \"app\"\n", "\n", "mapper = Mapper(constellation_type, num_bits_per_symbol)\n", "demapper= Demapper(demapping_method, constellation_type, num_bits_per_symbol, hard_out = hard_out)" ] }, { "cell_type": "markdown", "id": "3b3bb65b", "metadata": {}, "source": [ "## Polar Coder Configurations\n", "The simulations parameters are:\n", "\n", "- ``K`` defines block-length.\n", "- ``SNRdB`` defines Signal to noise ratio (SNR) in dB.\n", "- ``purpose`` defines the physical channel for which the Polar coder is used.\n", "- ``verbose`` displays the details of the simulation if configured to True.\n", "- ``decoderType`` defines the type of Polar Decoder used." ] }, { "cell_type": "code", "execution_count": 5, "id": "a00b20e2", "metadata": {}, "outputs": [], "source": [ "K = 56 # Number of bits to encode\n", "E = 864 # Rate matching bits\n", "purpose = \"PDCCH\" # The channel for which the Polar Encoder\n", "verbose = False \n", "decoderType ='SC'" ] }, { "cell_type": "markdown", "id": "877f2045", "metadata": {}, "source": [ "## Simulation: AWGN Channel\n", "This subsection performs the simulation which involve following steps:\n", "\n", "* Bits generation of length ``k``\n", "* Polar Encoding\n", "* BPSK Symbol Mapping of encoded bits\n", "* Passing through the AWGN Channel\n", " * Adding noise to BPSK symbols with a given SNR\n", "* Symbol De-mapping using **Log Map** Demapper defined by ``\"app\"``.\n", " * Generates Log likelihood values as ``hard_out`` is set to ``False``.\n", "* Polar Decoding\n", "* BER computation\n", "\n", "The flow of the implementation can be understood using folowing diagram:\n", "![PolarCodes](Polar.png)\n", "\n", "The bit error rate (BER) is computed for every combination of K $= \\{20, 50, 80, 110, 140\\}$ and SNR $= \\{-10, -8, -6, -4, -2, 0\\}$ dB and averaged over $500000$ batches (monteCarloIterations)." ] }, { "cell_type": "code", "execution_count": 6, "id": "fe137e11", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Warning: 5G Polar codes use an integrated CRC that cannot be materialized with SC decoding and, thus, causes a degraded performance. Please consider SCL decoding instead.\n", "For K=20, At SNR(dB): -10.0 | Bit Error Rate: 0.27399998903274536\n", "For K=20, At SNR(dB): -7.5 | Bit Error Rate: 0.08749999850988388\n", "For K=20, At SNR(dB): -5.0 | Bit Error Rate: 0.0020000000949949026\n", "For K=20, At SNR(dB): -2.5 | Bit Error Rate: 0.0\n", "For K=20, At SNR(dB): 0.0 | Bit Error Rate: 0.0\n", "Warning: 5G Polar codes use an integrated CRC that cannot be materialized with SC decoding and, thus, causes a degraded performance. Please consider SCL decoding instead.\n", "For K=50, At SNR(dB): -10.0 | Bit Error Rate: 0.4251999855041504\n", "For K=50, At SNR(dB): -7.5 | Bit Error Rate: 0.17100000381469727\n", "For K=50, At SNR(dB): -5.0 | Bit Error Rate: 0.00559999980032444\n", "For K=50, At SNR(dB): -2.5 | Bit Error Rate: 0.0\n", "For K=50, At SNR(dB): 0.0 | Bit Error Rate: 0.0\n", "Warning: 5G Polar codes use an integrated CRC that cannot be materialized with SC decoding and, thus, causes a degraded performance. Please consider SCL decoding instead.\n", "For K=80, At SNR(dB): -10.0 | Bit Error Rate: 0.48124998807907104\n", "For K=80, At SNR(dB): -7.5 | Bit Error Rate: 0.453000009059906\n", "For K=80, At SNR(dB): -5.0 | Bit Error Rate: 0.18912500143051147\n", "For K=80, At SNR(dB): -2.5 | Bit Error Rate: 0.004999999888241291\n", "For K=80, At SNR(dB): 0.0 | Bit Error Rate: 0.0\n", "Warning: 5G Polar codes use an integrated CRC that cannot be materialized with SC decoding and, thus, causes a degraded performance. Please consider SCL decoding instead.\n", "For K=110, At SNR(dB): -10.0 | Bit Error Rate: 0.48818182945251465\n", "For K=110, At SNR(dB): -7.5 | Bit Error Rate: 0.4808181822299957\n", "For K=110, At SNR(dB): -5.0 | Bit Error Rate: 0.42027273774147034\n", "For K=110, At SNR(dB): -2.5 | Bit Error Rate: 0.049272727221250534\n", "For K=110, At SNR(dB): 0.0 | Bit Error Rate: 0.0\n", "Warning: 5G Polar codes use an integrated CRC that cannot be materialized with SC decoding and, thus, causes a degraded performance. Please consider SCL decoding instead.\n", "For K=140, At SNR(dB): -10.0 | Bit Error Rate: 0.49235713481903076\n", "For K=140, At SNR(dB): -7.5 | Bit Error Rate: 0.4894285798072815\n", "For K=140, At SNR(dB): -5.0 | Bit Error Rate: 0.47942855954170227\n", "For K=140, At SNR(dB): -2.5 | Bit Error Rate: 0.24899999797344208\n", "For K=140, At SNR(dB): 0.0 | Bit Error Rate: 0.004142857156693935\n" ] } ], "source": [ "K = np.int32(np.linspace(20,140,5))\n", "SNRdB = np.linspace(-10,0,5)\n", "SNR = 10**(SNRdB/10)\n", "numBatches = 100\n", "BER = np.zeros((K.size, SNR.size))\n", "\n", "kIndex = 0\n", "snrIndex = 0\n", "for k in K:\n", " #######################################################\n", " ################ Generate UCI Payload #################\n", " #######################################################\n", " bits = np.float32(np.random.randint(2, size = (numBatches, k)))\n", "\n", " #######################################################\n", " ################### Polar Encoder #####################\n", " #######################################################\n", " encoder = PolarEncoder5G(k, E, purpose,verbose)\n", " encBits = encoder(bits)\n", "\n", " #######################################################\n", " ################### Rate Matching #####################\n", " #######################################################\n", " encoder = PolarEncoder5G(k, E, purpose,verbose)\n", "\n", "\n", " #######################################################\n", " ################### Symbol Mapping ####################\n", " #######################################################\n", " symbols = mapper(encBits)\n", "\n", " decoder = PolarDecoder5G(K = k, E = E, purpose = purpose, dec_type = decoderType)\n", " snrIndex = 0\n", " for snr in SNR:\n", "\n", " #######################################################\n", " ################ Add Noise at Receiver ################\n", " #######################################################\n", " symbs = symbols + np.sqrt(0.5/snr)*(np.random.standard_normal(size=symbols.shape)+1j*np.random.standard_normal(size=symbols.shape)).astype(np.complex64)\n", "\n", " #######################################################\n", " ################## Symbol Demapping ###################\n", " #######################################################\n", " llrEst = demapper([symbs, np.float32(1/snr)])\n", "\n", " #######################################################\n", " ################ Reed Muller Decoder ##################\n", " #######################################################\n", " rxBits = decoder(llrEst)\n", "\n", " #######################################################\n", " ############## Key Performance Metrics ################\n", " #######################################################\n", " BER[kIndex, snrIndex] = np.mean(np.abs(rxBits-bits))\n", "\n", " print(\"For K=\"+str(k)+\", At SNR(dB): \"+str(SNRdB[snrIndex])+\" | Bit Error Rate: \"+str(BER[kIndex, snrIndex]))\n", "\n", " snrIndex = snrIndex + 1\n", " kIndex = kIndex + 1" ] }, { "cell_type": "markdown", "id": "2b57a309", "metadata": {}, "source": [ "## Performance Evaluations\n", "The script plots SNR in dB vs BER performance for different code-block lengths $\\text{K} \\in \\{20, 50, 80, 110, 140\\}$. It can be observed that the Polar codes can provide the reliablilty of \n", "\n", "- $99.99990 \\text{ or BER = } 10^{-4}$ for all the block-sizes supported in downlink even at low SNR value of 0 dB. " ] }, { "cell_type": "code", "execution_count": 7, "id": "633f9a08", "metadata": {}, "outputs": [ { "data": { "image/png": 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a6L134+LipNKlS0vNmjVL9xi89957eue9efOmZG5uLk2ePFlve0hIiGRhYaG3PeVxWLlypW5bYmKiVKRIEendd9/VbTtx4kSW379pY2vfvr3e9s8++0wCpLNnz+q2lSpVSu8zKeU1duDAAd2258+fS6VLl5Y8PT11z+0vv/wiAdLs2bPTlZ/y2KV9LyQnJ0vdunWTbG1tpX/++SdL/0fKc5Tyun7+/Lnk4uIi9e3bV++4hw8fSs7OznrbU74LvvvuO71jq1Wrpvfe2rBhgwRIc+fO1W3TaDRS48aN0z3mAwcOlDJKK1L+zwIFCkhPnz7Vbd+0aZMESFu2bJEkSZKePXuW5c87QxGXw3LQzp07KVSoEIUKFaJq1aqsX7+ejz76iOnTp6PRaNi5cycdO3akTJkyuvsULVqU999/n4MHDxIdHZ3pudP+0o2NjeXx48fUqVMHSZI4c+ZMuuNTsvxXSSnP0dExS//ftm3bABg+fLje9pTG4CnVxbt37yYpKSldA9Nhw4alO+f69eupX78+rq6uPH78WHdr2rQpGo2G/fv3A3K7hdjY2Nde0slMz549kSQpy11hPT092bVrF7t27WL79u3MnTuXqKgoWrVqRURERLrjFy5cqDs+7f1e9vPPP1OoUCEKFy5MjRo12LNnD1999VW6xzQjnTp1wsLCgnXr1um2nT9/nosXL9KtWzfdNhcXFy5cuMDVq1ez9L+mqFSpEsHBwXz44YfcvHmTH374gY4dO+Lu7s5PP/2U6f2GDh2Kq6trhpfqXta7d28KFSpEsWLFaNmyJVFRUaxatUp3uSPFkydP0tUOgfwarFWrll5tRKFChTK95Jvd59HV1ZX4+Hji4uJe+7+8LOV1P2zYMMzMUj96+/bti5OTU7rLKdbW1vTq1eu1533w4AHBwcH06NEDZ2dn3fZmzZrh4+OT7ThfJTg4mKtXr/L+++/z5MkT3fsxNjaWJk2asH///nSXHl9u7/jnn3+i1Wrp2rWr3nu6SJEilCtXjr179+od7+DgoNduy8rKipo1a3Ljxo23/n8GDhyotz548GAg9bMsI9u2baNmzZp6l/YcHBzo168fN2/e5OLFiwBs2LCBggUL6s6Z1suXiZKSkujSpQt///0327Zto3nz5m/0/+zatYvIyEjee+89vcfW3NycwMDAdI8tpH9+6tevr/fY7tixA0tLS72hKMzMzNI9dlnRrVs3vfdtSq1dSnm2trZYWVmxb98+nj17lu3zvwlxOSwHBQYGMmnSJFQqFXZ2dnh7e+uqfR8+fEhcXBwVKlRIdz9vb2+0Wi137tyhUqVKGZ779u3bjB07ls2bN6d78bzczsXCwuK11eQATk5OADx//jwr/x63bt3CzMwsXW+YIkWK4OLiwq1bt3THAZQrV07vuEKFCqX7Yrt69Srnzp2jUKFCGZaZ0njzs88+4/fff6dVq1YUL16c5s2b07VrV1q2bJml2LPL3t5erz1Ky5YtqVevHjVq1GDatGnMmjVL7/iaNWtmqWF0hw4dGDRoEElJSZw4cYIpU6YQFxen96WZmYIFC9KkSRN+//13Jk6cCMiXwiwsLOjUqZPuuO+++44OHTpQvnx5KleuTMuWLfnoo490l2xepXz58qxatQqNRsPFixf5+++/mTFjBv369aN06dIZttFxdnZm2LBhjBs3jjNnzmSYvKQYO3Ys9evXJyYmho0bN7J27dpM/3fpxaWVtG7dupXhZeOM3leQ/ecxpczX9Q7LSMrr/uVYrKysKFOmjG5/iuLFi2NlZZXl8778fkop603bY2UkJXF++VJIWlFRUXrP8cu9Iq9evYokSRnGC+hdEgS5B9/Lj7erqyvnzp3LVuwZeTkGLy8vzMzMXtn+JLPXmLe3t25/5cqVuX79OhUqVMhSG8GpU6cSExPD9u3bCQoK0tun0WjSJeRubm4ZvjZSnp/MLlenfKansLGxSffZ6urqqvcdcuvWLYoWLZqu2cSb9Hr08PBIVxagK8/a2prp06czYsQI3N3dqVWrFm3btuXjjz9O1zvUUEQSlIMKFixolK6mGo2GZs2a8fTpU0aOHEnFihWxt7fn3r179OzZM90vM2tr6yx9qTo5OVGsWDHOnz+frXje5AsiM1qtlmbNmun1DEqrfPnygNwwNzg4mH/++Yft27ezfft2li9fzscff8yKFSsMFs+r+Pv74+zsrKudehMlSpTQvUZat25NwYIFGTRoEI0aNdJLZDLTvXt3evXqRXBwMH5+fvz+++80adKEggUL6o5p0KAB169fZ9OmTezcuZNly5YxZ84cFi9erNdF+lXMzc3x9fXF19eX2rVr06hRI1avXp3p6zulbdCECRN07bgy4uvrqztHx44diYuLo2/fvtSrV4+SJUvqjitQoIDRfim+6nl89uwZdnZ2mbYxMqScKCO7Uj5Lvv/++0y7ojs4OOitv/x/aLVaVCoV27dvx9zc/LX3z+gYyDgJfluG/OzKjhYtWrBjxw5mzJhBUFCQXg++O3fupEsk9+7dmy5ZgtTnZ9WqVRkmDS8nZJk9tsaSledy2LBhtGvXjr/++ot//vmHMWPGMHXqVP7991+qVatm8JhEEpRLFCpUCDs7Oy5fvpxuX2hoKGZmZnpfAmmFhIRw5coVVqxYwccff6zb/qaXhtJq27YtS5cu5ciRI9SuXfuVx5YqVQqtVsvVq1d1v4pAbkgYGRmpa8Sa8vfq1at6l/4iIiLSfbF5eXkRExOTpeTRysqKdu3a0a5dO7RaLZ999hlLlixhzJgxOTZWi0ajISYmxmDn+/TTT5kzZw7ffvst77zzzms/pDt27Minn36quyR25coVRo8ene44Nzc3evXqRa9evYiJiaFBgwaMHz8+y0lQWik1XA8ePMj0mJTaoPHjx7+yFuFl06ZNY+PGjUyePFmvO3zFihXZsGFDuuNLlSqV4WW+jN5Xr5LZ8xgWFqb32s6OlNf95cuX9V73SUlJhIWFvfEPpLTvp5dl9/9+nZTGvE5OTm8cr5eXF5IkUbp0ad2PmLf1psnL1atX9RKMa9euodVqX9kAt1SpUpl+TqfsB/n/PHbsGMnJyelqt15Wq1Yt+vfvT9u2benSpQsbN27UJSxFihRJ91letWrVDM+T8vwULlzYYD+4S5Uqxd69e9MN0XDt2rV0xxoqifTy8mLEiBGMGDGCq1ev4ufnx6xZs/j1118Ncv60RJugXMLc3JzmzZuzadMmvarY8PBw1qxZQ7169dJVZaa9L+hn05IkZbl7+Kt89dVX2Nvb06dPH8LDw9Ptv379uq6c1q1bA6T7pT979mwAXU+Hpk2bYmlpyfz58/VizqiGoGvXrhw5coR//vkn3b7IyEjUajUgtxFJy8zMTHd5JytTHRiii/zevXuJiYnJ9APqTVhYWDBixAguXbr02q7ZILf3adGiBb///jtr167FysqKjh076h3z8mPl4OBA2bJlX/s4HThwgOTk5HTbU9pPZHbJKcWwYcNwcXHhu+++e+3/kcLLy4t3332X//3vfzx8+FC3vXbt2jx79ixdu5DWrVtz9OhRjh8/rtsWERHB6tWrs1zmq57H06dPZ7mn5MuaNm2KlZUV8+bN03vd//zzz0RFRb1RTyCQ2w36+fmxYsUKvdfvrl27dO1TDMXf3x8vLy9mzpyZYZKYUTuql3Xq1Alzc3MmTJiQrjZHkqR0r8+sSBl7KLvTeqR06U4xf/58QB7XKzOtW7fm+PHjHDlyRLctNjaWpUuX4unpqWuH9e677/L48WPd0BRpZVSL1bRpU9auXcuOHTv46KOPdLU6NjY2NG3aVO+W2SXlFi1a4OTkxJQpUzJ8r2bl+cnonMnJyXrt/rRabbrHDt78eUgRFxeXbogCLy8vHB0dszVlTXaImqBcZNKkSezatYt69erx2WefYWFhwZIlS0hMTNQbF+NlFStWxMvLiy+++IJ79+7h5OTEhg0bDHK5wMvLizVr1tCtWze8vb31Row+fPgw69ev1zUmrlq1Kj169GDp0qVERkbSsGFDjh8/zooVK+jYsSONGjUC0I1FMXXqVNq2bUvr1q05c+YM27dv17tsA/Dll1+yefNm2rZtS8+ePfH39yc2NpaQkBD++OMPbt68ScGCBenTpw9Pnz6lcePGlChRglu3bjF//nz8/Pyy9Ms9u13ko6KidL9K1Gq1rquzra0to0aNSnf89u3bdb8U06pTp45erUBGevbsydixY5k+fXq6hCYj3bp148MPP+THH3+kRYsW6Qa78/HxISgoSDfuzcmTJ/njjz8YNGjQK887ffp0Tp06RadOnXQJ5unTp1m5ciVubm4ZNmxPy9nZmaFDh2apgXRaX375Jb///jtz587VTUfTpk0bLCws2L17t940KF999RWrVq2iZcuWDB06VNdFvlSpUhm2IcnO83jq1CmePn1Khw4dshV/ikKFCjF69GgmTJhAy5Ytad++PZcvX+bHH38kICAg05Hms2Lq1Km0adOGevXq0bt3b54+fcr8+fOpVKmSQWsmzczMWLZsGa1ataJSpUr06tWL4sWLc+/ePfbu3YuTkxNbtmx55Tm8vLyYNGkSo0eP5ubNm3Ts2BFHR0fCwsLYuHEj/fr144svvshWXF5eXri4uLB48WIcHR2xt7cnMDAww1Ha0woLC6N9+/a0bNmSI0eO8Ouvv/L++++/8ofMqFGj+O2332jVqhVDhgzBzc2NFStWEBYWxoYNG3RNDT7++GNWrlzJ8OHDOX78OPXr1yc2Npbdu3fz2WefZfg66tixo+4yvpOTU5anaUnh5OTEokWL+Oijj6hevTrdu3enUKFC3L59m61bt1K3bt0Mk7JX6dixIzVr1mTEiBFcu3aNihUrsnnzZp4+fQro1/6kjAw/ZMgQWrRogbm5Od27d89yWVeuXKFJkyZ07doVHx8fLCws2LhxI+Hh4dk6T7bkWD+0fOB1XeSz0i359OnTUosWLSQHBwfJzs5OatSokXT48GG9YzLqIn/x4kWpadOmkoODg1SwYEGpb9++0tmzZ9N1YezRo4dkb2+f7f/typUrUt++fSVPT0/JyspKcnR0lOrWrSvNnz9fSkhI0B2XnJwsTZgwQSpdurRkaWkplSxZUho9erTeMZIkd7GcMGGCVLRoUcnW1lYKCgqSzp8/n647qiTJ3T5Hjx4tlS1bVrKyspIKFiwo1alTR5o5c6aUlJQkSZIk/fHHH1Lz5s2lwoULS1ZWVpKHh4f06aefSg8ePEj3vxi6i7xKpZLc3Nyk9u3b67qBv3zezG5pywOkgQMHZljm+PHj0z3nmYmOjtZ1Zf/111/T7Z80aZJUs2ZNycXFRbK1tZUqVqwoTZ48WfdYZubQoUPSwIEDpcqVK0vOzs6SpaWl5OHhIfXs2VNvWIeUxyili3xaz54903VXz6iL/MvdtFMEBQVJTk5Oel3A27dvLzVp0iTdsefOnZMaNmwo2djYSMWLF5cmTpwo/fzzz6/tIv+q51GSJGnkyJGSh4eHXtfwzGTURT7FggULpIoVK0qWlpaSu7u7NGDAAOnZs2d6x2T2+L3Khg0bJG9vb8na2lry8fGR/vzzzww/k3iLLvIpzpw5I3Xq1EkqUKCAZG1tLZUqVUrq2rWrtGfPniw9Binx1qtXT7K3t5fs7e2lihUrSgMHDpQuX7782scho/9r06ZNko+Pj2RhYfHa93JKbBcvXpQ6d+4sOTo6Sq6urtKgQYOk+Ph4vWMz+ky6fv261LlzZ8nFxUWysbGRatasKf3999/pyomLi5O++eYb3edhkSJFpM6dO+veLxkNFyFJkvTjjz9KgPTFF19k+j9IUvou8in27t0rtWjRQnJ2dpZsbGwkLy8vqWfPntLJkyd1x2T2XZDy2KQVEREhvf/++5Kjo6Pk7Ows9ezZUzp06JAESGvXrtUdp1arpcGDB0uFChWSVCqV7jyZ/Z+SpP96fPz4sTRw4ECpYsWKkr29veTs7CwFBgZKv//++ysfh7ehehGEYAA9e/bk33//5fTp01hYWCg2c7SQsaSkJKKjo1m7di2DBw/mxIkTWeqxJeROBw4cICgoiNDQ0Ex7GhlKYmIinp6ejBo1KkuDbwpCXvfXX3/xzjvvcPDgwQwHFjUVok2Qgd25c4dChQrpjSEh5A7btm2jUKFCGY7bIZie+vXr07x581deKjaU5cuXY2lpmasnOhYEY3l5+iWNRsP8+fNxcnKievXqCkVlGKImyIAuXrzI/fv3Abmxaa1atRSOSEgrIiKCs2fP6tYDAwOzPBCkIAhCftWnTx/i4+OpXbs2iYmJ/Pnnnxw+fJgpU6Zk2PvUlIgkSBAEQRCETK1Zs4ZZs2Zx7do1EhISKFu2LAMGDHhtZwpTIJIgQRAEQRDyJdEmSBAEQRCEfEkkQYIgCIIg5EtisMRMaLVa7t+/j6Ojo2LzyQiCIAiCkD2SJPH8+XOKFSv22nkyRRKUifv372c6V5cgCIIgCLnbnTt3KFGixCuPEUlQJlK6Tt+5cyfTObsEQRAEQchdoqOjKVmyZJaGQBFJUCZSLoE5OTmJJEgQBEEQTExWmrKIhtGCIAiCIORLIgkSBEEQBCFfEknQSxYuXIiPjw8BAQFKhyIIgiAIghGJEaMzER0djbOzM1FRUaJNkCAIgiCYiOx8f4uaIEEQBEEQ8iWRBAmCIAiCkC+JJEgQBEEQhHxJJEGCIAiCIORLIgkSBEEQBCFfEiNG57DwkHC0yVrdupmlGe6+7gpGJGSXeA4FQRDyBpEE5ZBEdSJHphzhv3H/4cBz/DnJKWoQgyNB3wXRcExDpUMUsuC/if+xb+y+dNvFcygIgmB6RBKUA+5E3aHq3KrY3rOlsVdj6l63JYj/uEwFYnDUfamKL9HcLW0C9HIiK55D0yFq8gRBSCGSoBwQejaUZzzjWdFn/PrRrxy4V4jS/4J0PXWcyn1j95EQmYBjMXnWW5VKBaqX/kL6bSmbxfFGPf7J5Sd6NUAOPNdLZFOew7ItyuJexR2VuQozczNUZq+fwE/IOaImTxCEtEQS9JKFCxeycOFCNBqNwc6pVb/41fmiGfrtoo9p+RFUu/8Tg/e4c+t6f1SoODr7KADN2YE3l5BQsZKPicRNd64S3KEtW5BQcQp/TlJTr6xu/IYt8TzHkQ100dvnx2kqEoqEij004TGFdfuciKQJe5BQEUZpzlJN77712I8jMaixYBfN9fZ5cJOyXEeLivP48phCun2WJBLACSRUPKEAV6iod99yXMaRGCRUBFMVCXPdPheeUYx7SKh4QFG9xwEkvLiOhIp4bHhAcb3zuvEEW+KRUBGOO5o0L3VLEnEiGgkVcdiRgJ3efe2JAUCDWbp9ZqhRIWFGxq+PZYHL0m3TJUTmKlRmqcsv/32jfWaqDI/PaJ9R41B4X1Zmi84sAQJETZ4g5FMiCXrJwIEDGThwoG7YbWOQzOQaoDPFoPdH4aCdgGWyJdZJ1lioLViZHI+LOhFbNUSo/0RS22KZbImF2gJXdRxn1Y+wUYP62VWcT+onQTc8b5FsnYBabY/2hhYzKbUDoL31AwqYX8FGDVbJtSHNhCm2xFOFEACSsUqXBPkSQmEiSMQqXRJUkjvU5wAADyiqlwTZkEgzdgNwEe90SVBtjlCamwCE4Is6TRLkSRgd2AzAFtpyOk0SZIaWD/kVgFt48D966523Ef9SmQsAzGEY0bikOe9N3uc3AP6lMQdooHffQczHhkQiKMiPDNJtV5uraavZQSAnddvSfvU6EE0j9hGHLbcpxVXKAyBpJDQaDTbEkYQVyeJtZ3gqXpkASlqJ+CfxrzzFvrH7qNixorg0Jgj5iPg0zg3MINk6mWTrZAAi9XbeTXf4fy/+VouLYvngjkiSBBJIksTAIxM5UhwglmPF2mCOuW7fLyfW0qxkyln+hznmWGONtcoaa42KOU/BRg3mttfBbRNWWGGlssIaa66FxOMYA1aSljr1vClmVkx3XtXhUH69Ld/XKaAEQV5Bun3mkQ8I+x/YqsGyjBuB7QOxlCzlBEwCl1//hDtyRIHDayOZW5EynV3xs5GwS95XuqkXlpUCAfm8Zupk+FHe51DMiRoda+jKRAK3nTshTN5f6T1fEuwK6vYVuZUE/8r73KsVo0rlKqn3BczXmYEarJ1sqNSqEkhwN/Yu33p/y4YoiTn/QvPrcgLUku2soxtxOOBMFNU5DcDForbEezZG0khoNVokjUSXS+NxS3xIrLkTv5SZpLevRFwoJRKvE48tl80rEYWLbp9WrQathFYrLq1lSnpR46oGTSa1dFnx9PpTkQQJQj4ikqAcYGaRyXBMEqACqyQzrBPscXJ3IlGVSII6gQR1Amqt+pXndfSuSNWPq+ptS0yqAg/PYGFmQc2++rVEK4o2hDOhunUNGuKII06KAzN4WDBlzzPQPNMvzDtlQc17H5UisESgbte6vWf5aP9aAGbXceLzZqmXFO48vIKHS8raIaAVADYWNtha2GLTX4WNtiC2KktsCo7F1tIWGwsbeX+FJGwa+mODObWruNG7XcvUeJKT+bXQO6glDa6FStJhUBu9cG//FMqVi17YaM2oNrIBNgXcsbW0xcLMAk6XhPn3QaulUufOVGrXTv9/1XSAuDicSpak84LOAOzav4vYvbGE2kHLj6DGPfj03+J0v/6YgSxkK21JwlJ3Cp9P6+Ez7hP987qPhUdgX8KVwVcG6+8bNQqm7wGg8Z7PoXHj1H1XrkDFiuDqgtSjB9oZM/USKLNVK5BiY9E6uZDc/l0kLakJlEaLpJX0jjf6Po2EpH3zfcYoU52gJuZhDK/z+zu/UyygGL4f+FK5W2Uciji89j6CIJgukQTlgALlCsDe1HWVVoVkJlHsfjEa/9sYr+ulafRdExp+pd8eQa1V6xKi+OR4+a86XrfNztKOlw2r9Tl3o++ikdL/GvYpWpU2MW30zpNy3pfP/Sq2lrZ66wmujqn7XAvr77PMuPYiw3IePsi0zPjkcvoXvCwtGW5/kIi4CEprStPhpeOHOB5kk8smeeWnFbrt5ipzOcHykZMt25tHsFn0jbyckoB1eJGgWcTwQ0IUzjbOuucw5eriqaLQ96N7TLjnzph/rSh3PRyLb0ZBl6/g6VMoWZJ06teHhw/BPYOahqdPU5cLFNDf9+QJSBI8e4ZKq8Xc0pw0+RbMnw2XL4OjIzb9e+nfd/ZsmDZNPuePP0KjRqn7YmJg9Wp5X/nyUKVK+rjyiAenH7DUf2mWjr1/4j73T9xn5/CdlGlaBt8PfKnYsSLWTtZGjlIQhJwmkqAcpEKFCol34t1odLUi9pfLcvtGKRp+1zjDBpkWZhY4WDngYJX1X6MfVf0o030DAgYwIGDAa88hSRKJmsRMkyQvVy+942sWr8n8VvNJUCdQu0RtvX22lra8V/m9VyZdabcla5MzjMnGwibdtpQk6lX7XqaRNMQmxxKbHPvaxwFgdovZGW5PSYbuFX3Epx9JVMCOBR9ZQpmqGR4PwB9/ZL7vq6+gc2c54SldWn+fuTnUrCnvyyi5evJE/vty8gQQHg4REfLtZXfvQv/+8vJHH8HKlfr7O3aEGzegYEHYvRvM0tRoXrkCly7JZVaqBK6umf9vuYCZZdYGxy9QoQBPLsuPp6SVuL7zOtd3XsfCxoIK7Svg+4EvZVuWxdzK/DVnEgTBFIgkKAcUti9MEYcifORqz3i7Z9hpn4DfIeAQGsuimNd6xRenAlQqle6SlIuNy2uP9y7kjXch7wz3lXAqwZp312S5bI1Wk2GS5GTtlO7Yha0XEpsci6OVY7p9Tcs0pbB9Yb3arYxq09Juy4ithW2G21OkNHK/zGUGbx/Mxc8uZqmnUjply8q3jNSsCceOZX7flSvlJMc8gy9me3soVUpOlF5OktLWPrm5kc6lS3Ky4+SknwABbNwoX8ID2LABOnVK3ff4MbRsKZ+zaVM5wUvr5EnQaOR4ypRJf24jcPd1J+i7oEx7h0FqN/mIixGErAkhZHUIkTcjAVAnqLnw+wUu/H4BG1cbfLr4UOWDKnjU8xDDIAiCCVNJKa1BBT0pvcOioqJwckr/BZxdyTfXYXH4PVS8/HC/+ACt/weU7JTufkLOkCSJJE1SuiSpQoEKqFQqTj84jf9S/3T3M1eZo5E0BBQLwM/dj5MPTjKq3ije9X4Xc7NcXlvw8CFs3SonSP7+0KSJ/n5fXzkJKlYMwsL09331FXz/vby8dy8EBaXuCw0F7xdJcUY1TLVrw1F5OAiSk8EizW+xzZth6VI5gfrsM6hVK3WfRgNnz8rJU8GCcoKXTSnd5LMyarskSdw9cpdzq89x8feLxD2OS3c+Zw9nKr9XGd/3fXGvIhpUC0JukJ3vb5EEZcKgSZBWA5s9IS59Ty+ZCuxKQPswyO1fnPnUy0lQ2uRnYqOJNCjVgDLzyvAw5iEA5dzKMbLuSD6q+hFW5lZKhf32JAkSE8HmpUuO+/bBoUNybdLQoeDhkbrv2DGoW1dOWoYNgzlz9O9bvjxcvQrOzhAZqb9v2jQYPVpefrmGKTwcihSRl9u2hS1b9O87aZKcrBUoAN99px9zdLTcBqpAAcKvRGJ2LphCH7Yk4tcdaKv4vbZHmCZZw41dNwhZHULoX6Ekx6W/bFu4cmF8P/DF931fnD2MM7yGIAivl53vb3E5LCdEHHhFAgQgQdwd+Tj3oJyKSngDZpihRUv1otWZ2Ggizb2ao1KpuPHsBsUdi+uSoKtPr9JnSx/G7RvHiNoj6OvfN1ttu3INlSp9AgRyzU/a2p+0AgMhKUlOPDLSty/cvp3x5btXNRB/1T6Av/9OvWw4ZYr+vrVr4dNPAXD/5ReoKl+CLuRdCLLQJd7c0pxyrctRrnU5kmKSCN0USsjqEK7vvI6kkX9HPjr/iD2j97Bn9B486nvg+4EvPp19sCuQvgODIAi5g6gJyoRBa4Ju/gaH33/9cYG/gFev1x8n5Li70XcJ+CmAkk4l9ZKftCRJYveN3Uw9OJW9N/fq7XOzdWNIzSEMDhyMm20G7W8EmVoNz56lNgJPe8nr1i2YOlVOhho3Tm3UnSKlhsnFRT5HWlOnwtdfy8t//inXXNWoIbdP8k9/mTOrYh/FcmH9BUJWh3D3SPofOmaWZpRtWRbfD3yp0K4ClnaWGZxFEARDEpfDDMCgSVD4PtjT6LWHYekEPiOh/CB5WchVEtWJWJlbZanh89G7R5l2cBqbLm/S225vac+n/p8yvPZwijsVz+Tewht58EBulB0bq9+WCOD332HNGjmB+vZbmDABDh+GOnVgyRKwtoZy5d6q+Gc3nukaVD8OfZxuv5WDFRXfqYjvB76UaVIm8/HDBEF4KyIJMgDjtAm6B+kaRmfAyhUqfA4VBoOVy9uVLSjqwqMLTD80nTUha/TGbrIyt+LjKh/zVd2vKFfg7b58hWxYvx4GDJAv8zVuDLt2QVSU3NA6JAQKF379OV5DkiQeBj8kZHUI5387z/P7z9MdY+9uT6VulajyQRWKBRR7sx6FgiBkSCRBBmDo3mHc+RMOdH6xkvYhf/HhV6g+PD4IkjZ1l+cHUOfXty9bUNzNyJt8f+h7fgn+RW8MIzOVGV18ujCq3ij8ivgpF2B+MW4cXLggDxxZuLDcgPvwYXlf585ykmRAWo2WW/tvEbI6hIt/XCQxKjHdMW5l3aj8fmWqfFCFAuUzaOskCEK2iCToLaSdRf7KlSuGS4JAToRODdVvJG1XEvznyt3jo6/CxSkQtgokDbQ6A65+hilbyBXCY8KZe3QuP578kehE/YbDfav3ZWm7rI1qLLwhrVZ/XKK7d+WG3IULy8MFFCtmtKLVCWqubrtKyOoQrvx9BU1S+lHdi9UoRuX3K1O5e2Uci6Yf/0oQhNcTSZABGLwmKIVWI/cCi38AtkXlGqCXu8U/vw73t0OFQfrbb/8BT09CxRFgUwjBdEUlRPHjiR+Zc3QOEXHyaM4/tPyBIYFDFI4sH7p8GYoXB4ec672XEJnApT8vEbI6hLC9YemukqvMVJRuXBrfD3zx7uQtpuwQhGwQSZABGC0JelNaDWyrDNGhYG4H5QaA95dgKwZoM2XxyfH8cuYX/nf2f/zX8z+9+eBuPLvB0btH6Vqpqzzxq5AnRd+L5vza84SsDuHhmYfp9ptbm1Oh3YspO1qVxcJavBYE4VVEEmQAuS4JenoadtYGbVLqNnMbKNtfTobsjFeNLyij35Z+/HT6J8q4lmF9l/VUL1pd6ZDyB41GnhKkaVNo0SJHi464JE/ZcX7NeZ7deJZuv42rDT6dffD9wJdS9UuJKTsEIQMiCTKAXJcEgdy77OIMuL4UNGkmCDWzhrJ95e71diWUi08wmPCYcDzmepCkScLJ2onbw27jbCNGITa6hAR47z346y9wdJRHxfb1zfEwJEni7tG7hKwJ4cK6C8RFpJ+yw6mEkzxlxwfylB2ih5kgyEQSZAC5MglKEf8ALs2Eq4tAk2biTzMrKNsP/OfJXYAFkyVJEvtu7mPqwan4F/VnatOpevu3Xd1GQLEACtmLtmEGpdFAly7yBLHm5rBiBXzwgbIhJWu4sTvNlB2x6afsKFSpkDxlx3u+uHi65HyQgpCLiCTIAHJ1EpQi4RFcmgVXF4I6Vt4mutXnORqtRm8y1sdxjyk1txSSJNG3el9G1BmBh7PHK84gZEtcHHToAF9+Cc2bKx2NnqTYJC5vvixP2fHPdbRqbbpjStYtie8HvlTqUgm7gmLKDiH/EUmQAZhEEpQi4TGEzoarP0Lzo+BcMXWfJkmel8zRS7n4BIMau3csE/dP1K1bmFnwYZUPGVl3JBULVnzFPYUsk6RcX5sa9ziOC7/LU3bcOXwn3X4zCzO8WnjJU3a0r4CVvQlP5CsI2SCSIAMwqSQohToOLF765XftJzgxQK4hqvQNOJVXJjbBYO5E3WHWkVksPbWUeHXq5VAVKt7xfofR9UZTo1gNBSPMo+7ehRK5s83ds7BnnP9N7mEWcTEi3X5Le0u83/Gm8vuV8WrmJabsEPI0kQQZgEkmQS/TJsOW8hB7U15XmUGp9+RkyNlb0dCEtxcRG8G8Y/NYcGIBkQmRevualmnK6HqjaeTZSDSYNYS//4bu3eWJWAcPVjqaTEmSRPjZcM6tPidP2XEv/ZQddoXsdFN2FA8sLl4fQp4jkiADyBNJkDoeQmfJl8qS0na3VYFHV6j8LbhUViw8wTCiE6NZcnIJs4/O5mGM/jgzNYvX5Ot6X9OuQjvMVOLX/xsJDYVKlVJHm969GxplYUJkhUlaiVv7b3Fu9Tku/XGJhMiEdMe4lnHVTdlRsGJBBaIUBMMTSZAB5IkkKEVyNFz5EUJnQuIT/X0l34XKY8C1qjKxCQaToE5gRfAKZhyewY1nN/T2+RTyYVTdUXSv3B1Lc0uFIjRh33wDU6ZA165yjzEbG6UjyhZ1oppr268RsjqEy1suo0lMP2VH0epF8f3AV56yo5iYskMwXSIJMoA8lQSlSI6Ru9Vf+h4S07QbMLOCjvfARvwSzAvUWjXrL6xn2qFpnAs/p7evlHMpvqzzJb2r9cbW0lahCE2QVgvr1kG3bvpzj5mghCh5yo7za84T9m8YkvblOTuQp+x43xfvd72xcTathE8QRBJkAHkyCUqhjoNrS+SBFxMegldfCBQTd+Y1kiSx7eo2ph6cyqE7h/T2bei6gU7enRSKTMgtnj94rpuy48GpB+n2m1ubU75teXw/8KVc63Jiyg7BJIgkyADydBKUQh0P15dB8bbgUFp/+7E+UGEwFKylXHyCwRy4dYCpB6ey/dp2KhSowMWBF/XaCEmSJBrIZld0NMyaBd9+C5amf4nxcehjQtaEELImhGfX00/ZYe1srZuyw7Ohp5iyQ8i1RBJkAPkiCcrM5Xlwaqi8XKQZ+I6DQnWVjUkwiOCHwUQmRBLkGaS3vfPvnXG3d+fLul/i6eKpSGwm5c4daNMGQkKgXz9YvDjXjyuUVZIkce/4PUJWy1N2xD6KTXeMY3FHKneXp+wo4ldEJNBCriKSIAPI10nQzrrw+LD+NvfGUHksuDdUJibBaM4+PIvfEj8AvFy9uDL4iuhJ9joHD0KTJpCUBG5uEBwMJUsqHZXBadVaecqONSGEbgwlKSYp3TEFvQvKU3a874traVcFohQEfSIJegsLFy5k4cKFaDQarly5kj+TIE0S3FwF5ydDbJj+vsINXiRDjfPML9/8bk3IGvpt6UdscizzW81nUM1BSodkGtasgfHj5TGEyuf9QUiT45J1U3Zc23Etwyk7StQuIU/Z0bUS9oXsFYhSEEQSZBD5uiYohTYZbq6B85Mg5pr+voJ1IPAncPZRJjbBoJ7GP2XJySUMrTUUO8vUUcevPLnCZ1s/Y2TdkTQt01Rc9nhZQoLJdZc3hLgncVxcf5GQ1SHcPng73X6VuYqyLcrKU3Z0EFN2CDlLJEEGIJKgNLRquLUWLkyC6MvyNnMbaH8DbIsqG5tgVJ9s+oRfgn8BwL+oP6PrjeYd73fE5bJXyWeJUeTNSEJ+C5Gn7LiQwZQddpZU7FgR3w98KdOsDOaW5hmcRRAMRyRBBmDMJOjiRQgPh3Llcu1URBnTauD2ergwEdybQo0f9Pc/vw4OZcRlsjwiWZNM9aXVOf/ovN72CgUqMLLuSD6o8gFW5uIXvo4kwYwZ8mCKhw6Ba/5qHyNJEo9CHslTdqw5T/Td6HTH2BWUp+zwfd+XErVLiJpFwShEEmQAxkqCFi2Czz6Tl83MYOlS+OQTg50+Z0ha0MSDRZpr/snPYZMn2HvIbYZKdJDnKhNMmkar4c9LfzL14FTOPDyjt6+EUwm+qP0Ffar3wd5KtP9g0iQYM0ZeDgqCnTvzRNf5NyFpJW4duEXImhAurr9IwrP0U3a4lHbB931ffD/wpZB3IQWiFPIqkQQZgDGSoLt3wcND/sGYwswMwsLk7Sbt4nQIHpW67lJFno6jZCeRDOUBkiSx68YuphyYwn+3/tPbV8C2AEMDhzKo5iBcbfNX7YeesDCoVQsePYLJk2H0aFEryospO3bIU3Zc2XIFdYI63TFF/IrIU3a8Vxmn4vm8+YHw1kQSZADGSIL27oXGjdNv9/aWO5r4+RmkGGU82Alnv4anp/S3O/tApTHg0QXMRFuAvODInSNMPTiVLVe26G13sHKgv39/htceTlHHfNpW7NgxuHED3ntP6UhypcToRC5tvETI6hDC9mQ8ZYdnkCe+H/ji864PNi75p22VYDgiCTIAY9UElSolT0P0MjMzGDoUJkwAR1Odu1CS4P52OD8BnhzX3+dUESp9C6W6gZkYej8vCAkPYfqh6aw9vxaNlDohp5W5FT2r9uSrul/h5ealYIRCbvb8wXMurLtAyJoQ7p+4n26/uZU55dqUw/cDX8q3KY+FTernRnhIONrk1A9SM0sz3H3dcyRuIfcTSZABGKtN0M8/w6efgkYjJz6FC8PDh6n7S5SAefOgY0cTrkmXJLlm6PwEeHxEf5/fDPD5Upm4BKMIexbG94e/55czv5CoSdRtN1OZ0bVSV5Z3WI6NRT7+RX/9utwTok4dpSPJtZ5ceSJP2bE6hKfXnqbbb+1kjfe73vh+4Mvtg7f5b/x/6Y4J+i6IhmPEYK6CSIIMwpi9w+7ehWvXoGxZOQmaORMmTpR71qZo2xbmzwdPT4MWnbMkCcL/hZAJEHEALBygw02wLqB0ZIIRPIx5yNyjc/nxxI88T3oOQMNSDdnXc5+ygSnp0CH5F41GA0eOQIUKSkeUq0mSxP0T9zm3+hwX1mY8ZceriERIAJEEGUROjxN04wYMHAg7dqRus7WFceNg+PA80MkkfB/E3ACv3vrbQ38AC1so3RNEd+s8ITIhkh9P/Mjco3NZ9c4qWpRtodsnSRL7bu4jyDMof3SPfucd+OsvebldO9i8WdFwTIlWrSXs3zBCVodw6c9LGU7ZkZH+5/qLS2P5nEiCDECJwRIlCf74Q24b9OBB6vZKleT5GevVy5Ewck7iU7lbvfo52JWESqOhTG8wt1Y6MsEA4pPjsbGw0Ut2tl/dTus1ranqXpXvm31PM69mCkaYA6KjoX59ucp3/XpwcVE6IpOUHJfMsXnH2DN6z2uP7XeqH0Wr59OG+QKQve9v0Xc5F1GpoEsXCA2FIUPkNkMAFy7In6N9+sCTJ8rGaFD3tsgJEEDcHTjxGWz2gsvzQZN+XBHBtNha2qar7Zl6cCoAZ8PPEpMUo0RYOcvJCXbtgm3bRAL0FiztLPFqLhrZC4YnkqBcyMkJfvgBjh+HGjVSt//8s9yk4H//0x9ryGSV6QHNj0Gxtqnb4u/BqSGwuQyEzgV1nGLhCYYlSRLDaw+nZvGaeBf0pkPFDnr7b0Xe4nnic4WiM6LChdNfz84Tb2BBMH0iCcrF/P3h6FG5gXRKt/knT6BXL3lA2kuXFA3PMArWhKAt0PKkPMp0ivgHcPpz2Fwari5RLj7BYFQqFR0rduToJ0fZ13NfuvnH+m/tT6m5pRi3dxxP4vJSledLEhPho49g2TKlIzEpZpZZ+7rK6nGCACIJyvXMzWHQIPkSWbduqdv374eqVeGbbyAuL1SWuPlDg7+g1Rko+W7q9oRHkJSHvxDzIZVKRWH7wnrbzjw4w45rO3iW8Izv9n+Hx1wPPt/xOXej7yoUpZEkJEDTprB6NfTvL18qE7LE3dedoO+CXnlM0HdBolG0kC0iCTIRxYrB2rVy77EyZeRtyckwZQpUrgzbtysbn8G4+kH9P6D1OfDoKnenLz9I/5ikZ5AUpUh4gnG42LjQo2oPLF4MpBmXHMfcY3Mp80MZPtn0CVeeXFE4QgOxsZGreAGsrfXHxRBeq+GYhpkmQpZ2ltQZIcZiErJH9A7LhBK9w7IqPl5OfqZPlxOhFJ07w9y5ULy4YqEZXlIkWLnobzs1HG4sh4rDoMLQ9PsFk3Ur8hazjsxi2ellxKvjddtVqHjX511G1xtN9aLVFYzQADQaGDAA+vXTb/QnZFnaEaP//eZfru24BkCbRW2o0V88pvmd6CJvALk5CUoRGip/lu7bl7rN0VGezHrgQPlSWp4THy63E9K8+IK0dJIToQrDwNpN0dAEw3kU+4h5x+ax4PgCohL1a/2aezVndL3RNCzVMH+MNSS80oPTD1jqvxQAt3JuDAodhMpMvC7yM9FFPp+oWBH+/RdWroRCheRtz5/L4wzVrAknTigbn1FIGijVHVQvMrzkaDg/UR5v6Ow3kPBY0fAEwyhsX5hJjSdx+/PbTGsyDXf71HYeO6/vpNGKRtT5pQ6bL29GK2UwGZ8pOn1ariUSsqVo9aJ4NvIE4OnVp1zeclnZgASTIpIgE6dSyR1NQkOhb9/U7adPQ2Cg3Kg6Ki81n7ErBrV+gXZXwKsPqF5Mqqh+DhemwGZPODNSblAtmDwnaydG1hvJzWE3+bH1j5R2Ka3bd/TuUTqs7UCVRVX49dyvqLVqBSN9S7/8Ir9hvxTz6r2J2iNq65aPzDryiiMFQZ+4HJYJU7gclpHDh+VOJyEhqduKFJHbCnXtasKTsmYm9hZcmAY3fgZtmgZSDl5yoqQSeX5eotaqWXd+HdMOTeP8o/N6+wbXHMy8VvMUiuwtXL8uV+uqXyRxmzfLU2wIWSZpJX6s/COPL8k1wX2O9aF4zbzUOFLIDnE5LB+rUwdOnYLvvwc7O3nbw4fQvTu0bClP3Jqn2JeCmoug3XW5F5nZiyk3yg8SCVAeZGFmwQdVPuBs/7Ns7r6Z2iVSawD6Vu/7invmYl5esGiRvDx4MLRurWw8JkhlpqL2cFEbJGSfqAnKhKnWBKV1+7b8mZp2zkZra3lsoa++kpfznLj7cGU+VB4DFnap22NvwaWZ4DMS7EooF59gUJIksf/Wfv679R9jG47V2/dbyG+cf3SeobWGUti+MInqRKzMrXJvY+rDh+VfMcIbUSeomVtqLrGPYlGZqRhyfQguni5KhyUoQPQOM4C8kASl2LRJTobu3EndVqGC/OOzUSPl4spRx/vDtSVgZiVP0lpplFyLJORJGq0G74XeXH16FVsLW/7t8S8d13bEw9mDiY0m0tyree5NhoQ39t/E/9g3dh8AgUMDaTm3pbIBCYoQl8PewsKFC/Hx8SEgIEDpUAymQwe4eBG++CK12/zly9C4MXz8MTzK622I1bFw+3d5WZsE1xbD5rJwrC/E3FA2NsEozjw8w83ImwDUKlELK3MrwmPDOXX/FC1XtyRwWSD/XPuHXP0b8OFDeY6c53lwPjUjCRgQgIWt3Fni9LLTxD+Lf809hPxO1ARlIi/VBKV17pzccPpImkvmrq4wbZo8S71ZXk2LEx5D6Gz5Upk6zezlKnMo/RH4fA1O5ZSLTzC4e9H3mH1kNm3Kt8HFxgX/pf66fSpUSEgEFAvInTVDFy/KbYNu3ZIb823ZAhYWSkdlErZ+tpWTi04C0GRaE+qNrKdwREJOEzVBQqaqVIGDB2HJEnBxkbc9ewaffgr16slJUp5kUxD8pkCHW3J7IcsXbwxJAzf+B1srwuGPIfGpomEKhlPcqTizWsyicenG6fZJyL/9Tt4/qasZ2n1jd06HmDlzc4iOlpcvXIB795SNx4TU+rwWvMhnj887jiZJjL0kZE4kQfmQmZk8Yv/ly/IYQymOHIHq1eWhSmJiMr+/SbN2gyrfycmQ7wSwdJG3S1qI2A8WDoqGJ+SslGToxP0TDNk+ROFo0qhQATZulBtKHzsGpUT7tawqUK4AFTtUBOD5/eecX3v+NfcQ8jORBOVjhQvLo03v2SN/5oI8YO3MmeDjIzeozrOsXMB3LHS4CVUmgZUb+IwGcyv94+Iy+AWu1UD4Prj5m/xXK35pmrqAYgG5b4yhhg3latuiRZWOxOS8PHiiaPUhZEYkQQKNG8PZs/Ddd6nd5u/cgY4d5dvt20pGZ2RWzlD5GzkZKtNLf1/0FXk6jgOd4dlZedudP+VRqfc0gsPvy383e8rbBZNhrkqdWE+FilXvrKJpmaYKRpSJjNophYfnfBwmpmTdkhQPlAdLDD8Xzo3dogOEkDGRBAmAnPyMGQPnz0OzZqnbN20Cb2+5dijtjPV5jqVj+lqgC5NBUsOdDbDdD/6pCQfehbi7+sfF3ZMTJZEI5XpmLz7yqhetTs+qPQH5ktjE/RMVjCqLNBoYNkxu2BcWpnQ0uZpKpRJTaQhZIpIgQU/ZsvDPP7B2rTzdBkBcnNxOyN9fHs8t33ALANs0lyKeZDYj7Yuq9lPDxKWxXKqwfWGKOBTBv5g/Oz7YwbE+x5jXah4FbAsAsCZkDZciLikc5WtMmgQ//CCPadGmDSQkKB1Rrub9jrdusMTr/1zn0fm8PhaI8CZEEiSko1JBt25w6RIMHJhaIx8SAnXryo2qn+aHTlQVBsnTcfjPB6uCrzlYgrg7EHEgR0ITsqeEUwluDr3JsT7HaFG2BSqVCkdrR76q+xUg1wZN+G+CwlG+xpAhcuM9CwsYMQJsbJSOKFczszCTe4q9IGqDhIyIJEjIlIsLLFggd06pVi11+08/yfM9rloFeb69oYWtnAxVn5m14+MfGDce4Y1ZW1inGwtoYMBACtkVAuD3C78TEh6S0V1zB1dX2LYNtm+HTz5ROhqTUK13NWxc5GTx3OpzPH8gBp4U9IkkSHitgAA4flyuiXd0lLdFRMijTTduDKGhysaXI7I6xYat6MljSuyt7BlVbxRgIrVBZcpA01zYgDuXsnKwwr+/PEimNlnL8fnHFY5IyG1EEiRkiYWFXBt/6RJ06ZK6fd8+uZ3mmDEQn5dHqC9U/8XEq5mNKqwCu5LycYJJ6V+jP0Uc5AZwGy5tIPhhsLIBZdfp07Bhg9JR5FqBgwMxs5S/6k4uPklSTJLCEQm5iUiChGwpXhx+/x22boXSpeVtyclym01fX7lRdZ5kZg7+P7xYeTkRerHuP1c+TjApdpZ2jK43Wrc+bt84BaPJpi1boH59eP99OCDao2XEsZgjvu/7ApDwLIEzy88oHJGQm4gkSHgjrVvL3em//hosLeVt16/L0xx17w4P8mLTmJKdoP4fYFdcf7tdCXl7yU7KxCW8tX7+/SjuKD+vmy9v5uT9kwpHlEXbtsndN5OS5HEshAzVHp7aXf7onKNoNVoFoxFyE5EECW/Mzg4mT4bgYPnHaIp16+SG0wsWyEOb5CklO0H7m9BkL9RZI/9tHwbFO8iz1QsmycbChm/qf6NbN5naoHnzoHlzeO89+Y0nZMi9ijtezb0AiAyLJHRjfmjIKGSFSIKEt+bjA//9B8uXQwF52BWio2HwYKhVS26ykKeYmYN7EHi+B4UbwoPtsL0qnBmpdGTCW+hdrTcezh4AbLu6jaN3jyocURZYWspzjP36q+gy/xppB088PPOwmEpDAEQSJBiISgU9e8qTsqbtvXvypNy7bOjQ1Emx85TEJ3CoO0RdgGtL4Pk1pSMS3pC1hTXf1v9Wtz7j0AwFo8kGOzt5VuS0kpNBKy75pFWmWRkK+xYG4N6xe9w5fEfhiITcQCRBgkEVKADLlsltNCtVkrdptXKtfcWKsH59HhtbyKYgVBwhL0tqOPvtq48XcrWefj2p4l6Fb+t/y8/tf1Y6nDcTFSWPKD12rNKR5CpiKg0hIypJ1AlmKDo6GmdnZ6KionByclI6HJOUlARz5sCECfrd51u1ktsLlSmjXGwGlfwcNntBYoS83uI4FAhQNibhjWklLWYqE/19mJQkV72eOyev//IL9Or16vvkI5okDXM95xLzIAZUMPjKYNzKuikdlmBg2fn+NtF3umAKrKxg5Ei4eFH+YZpi+3a5lmjKFPkz2+RZOkLlNL+6g0fmsequ/MVkEyCQ33Qp16MLFIBy5ZSNJ5cxtzIncEigvCLBkTmiNii/M+F3u2AqPD3l4Uz+/FMeZwjkuR+/+Qb8/ORG1SavbD9wkHufEL4XHuxUNh7BYJ7FPzOtRrRDhsi/MI4cgXr1lI4m1/H/1B9Le3lcj+DlwcQ9iVM4IkFJIgkScoRKBe+8I484/fnnqe04L12CoCC5UXVEhJIRviVzK6g6OXU9eCRIomGqKXsa/5Rv9nxDyTkl2RO2R+lwsmf0aFELlAlbV1uqfSJPhqiOV3NykYmMCSUYhUiChBzl6AizZ8u9xmrWTN2+YoXccPrnn024U4tHF3CT5yki8izc/E3ZeIS3svP6TqYcnEJscixj9o4xrdqgjGzfLg+sKFBrWC1UZvJI78cXHEedoFY4IkEpIgkSFFGtGhw+DIsWgbOzvO3pU+jTBxo0kEejNjkqM/BL0606ZJyoDTJhXXy6UKlQJSzNLPEv6k+iJlHpkN6MJMmXx1q3hg8/NOFfGYbjWtoV73e9AYgNj+Xc6nMKRyQoRfQOy4ToHZZzHj6EESNgzZrUbRYWMHy43MvX3l652N7I3pZgbgtVp4Czt9LRCG/h5P2TFLYvrBtE0STdvg2VK8Pz5/L6unXQtauyMeUCd4/d5eda8jAIBb0L8tn5z3S1Q4JpE73DBJNSpAisXg27dqU2Y1CrYcYMuRfZ338rG1+2NfgLGmwUCVAeUKNYDdNOgAA8POQBuiws5BqhLl2UjihXKBFYAo968nP7+NJjru0QA53mRyIJEnKNpk3l4U3Gj5d7+gLcugXt2kGnTnDHVAZ4NRfTFwi5TIsWcPWq3GBaJWo7UojBEwWRBAm5io0NjBsHISHQpEnq9o0bwdtbblStNrU2jJokSIpSOgrhLcUlxzHr8Cy2Xd2mdChvxtNT6QhynfLtyuNWTh4sMezfMB6ceaBwREJOE0mQkCuVLy9fHlu9GgrL0/0QGyu3HapRA44dUza+LJG0cg+xvyvCmS+VjkZ4C7ejblPmhzJ8sesLRu0ehTYvNHi/ehUaN4a7d5WORDFm5mbU+ryWbl3UBuU/IgkSci2VCt5/H0JDYcCA1Fr8s2ehdm1527Nnysb4SkmRcKI/xIbBjZ8hKlTpiIQ3VNKpJJ4ungCEPArhj4t/KBvQ2zp5Un4T7d0LbdumNprOh/x6+GFbwBaAC+suEHVH1NrmJyIJEnI9V1f48Ud5AFw/P3mbJMHixfLYQqtX59JZKqzdwGekvCxp4ezXysYjvDGVSsV3jb7TrY/fNx6NVqNgRG/JwwNSes2o1RAdrWw8CrK0syTgM3muP61ay7F5plDNLBiKSIIEkxEYCCdOyO2CUrrNP3okD33SrBlcuaJsfBmqMBRsi8rLdzdCxGFl4xHeWLMyzahbsi4Alx5fYt2FdQpH9BYKF4Zt2+SeYocOpc5nk08FDAzA3NocgNNLT5MYbaJjQgnZJpIgwaRYWMjTbly6JPcYS7FnD/j6yj3LEhIUCy89C3vwnZC6LiZXNVkv1wZN+G8Caq2ptdJPo2JF+P331NFK8zEHdweqfFQFgMToRE4vO61wREJOEUmQYJJKloQNG+SJWUuVkrclJcGECVClCuzerWx8esr0AqcK8nLEQbhnagMfCSkaeTaiYamGAFx5coU1IWtecw8To9XChQtKR6GI2sNTu8sf++EYmmQTvtwpZJlIggST1rat/Jk9cqRcSwRyp5dmzeCDD+TRqBVnZgFVp6aunx0FplyDkI9lVBuUrElWMCIDSkiQ3zQBAfJ153ymkHchyrWRR2uNuh3FxT8uKhyRkBNEEiSYPHt7mDYNzpyBunVTt69ZI9f4L1oEGqV/1JXoCAVedMWNughhKxUNR3hzDUo1oGmZpgDceHaDlWfzyHM5ezasXQvx8dChQ76cbFVv8MSZR0x/0lzhtfJ8EvTOO+/g6upK586dlQ5FMLLKlWH/fnkmejd5/DOiouCzz6BOHTlJUoxKBdXSTK56YbKYXNWETQhKbec1cf9EkjRJCkZjICNGyLMX29nBkiXy33zGM8iTotXljgwPTj/g1n+3FI5IMLY8nwQNHTqUlSvzyC814bXMzKB3b7h8GXr2TN1+/Lg8yOLw4QoOiVK4PpToAJ4fQuM98qzzgkmqU7IOLcu2BOBW1C2Wn1mucEQGYG0tD81+6JA8V00+pFKpxFQa+Uye/xQOCgrC0dFR6TCEHFawICxfDvv2ydNtgNzmc84cef3PPxXqpFXvD6izChw8FShcMKS0tUGTDkwiQZ2buiW+ITe31MG48imfLj44lZTHULry9xUiLkUoHJFgTIomQfv376ddu3YUK1YMlUrFX3/9le6YhQsX4unpiY2NDYGBgRw/fjznAxVMVsOGEBwsT55t82Je03v34N135R+7N2/mcEBmFjlcoGAsNYvXpG35tgDcjb7LstPLFI7ISHbvltsL5RPmluYEDg3UrR+dc1TBaARjUzQJio2NpWrVqixcuDDD/evWrWP48OGMGzeO06dPU7VqVVq0aMGjR490x/j5+VG5cuV0t/v37+fUvyHkclZW8uTZFy5Aq1ap27duBR8fmD4dkpXq4KOOg8QnChUuvK3vglJ7ik05MIX45HgFozGCn3+W3zQjRsiNpvOJ6n2qY+VoBcDZlWeJCY9ROCLBWBRNglq1asWkSZN45513Mtw/e/Zs+vbtS69evfDx8WHx4sXY2dnxyy+/6I4JDg7m/Pnz6W7FihXLViyJiYlER0fr3YS8pUwZOfFZvx5SXh7x8TBqFFSrBgcO5GAwWjVc+wm2lIXTI3KwYMGQqhWtxjsV5c+vBzEPWHJqicIRGVhEhDytBsjthfIJG2cb/Pv5A6BJ1HDix/w3ZEB+kWvbBCUlJXHq1CmaNm2q22ZmZkbTpk05csTwjdWmTp2Ks7Oz7layZEmDlyEoT6WCzp3lEaeHDpUbUoNcS9SgAXzyCTx+nAOBqJ/Lo0fHP5C7y0eG5EChgjGMDxqvW556cCqxSbHKBWNoI0fKb4phw+QxJ/KRwCGBqMzlWZtP/niS5Lg8Mh6UoCfXJkGPHz9Go9Hg7u6ut93d3Z2H2RgBr2nTpnTp0oVt27ZRokSJTBOo0aNHExUVpbvduXPnreIXcjcnJ5g7N7XXWIpffpHHFvrf/4zccNrKFSqlTKgqQfAoIxYmGFMV9yp08elCEYcifFv/WyzyUrsvlQqWLpV7FJibKx1NjnL2cKZyt8oAxD2O4+zKswpHJBhDrk2CDGX37t1EREQQFxfH3bt3qV27dobHWVtb4+TkpHcT8j5/fzh6FBYsSJ1U+8kT6NULgoLgojEHjS0/COxe1Dje3wbh+4xYmGBM81vN58aQGwwOHIy1hbXS4RiWWQZfE7GxkJj3JxnV6y4/+wiSVgyemNfk2iSoYMGCmJubEx4errc9PDycIkWKKBSVkBeZm8PAgRAaCt27p27fvx+qVoWvvzbS4LnmNlAltWGtmFzVdLk7uGNraat0GDnjwQO522Xv3nn+9Vq0elE8G3kC8PTqUy5vuaxsQILB5dokyMrKCn9/f/bs2aPbptVq2bNnT6a1OYLwNooWhd9+gx07wMtL3qZWw9SpUKkSbNtmhEI9PwJnucqdJ8fhzgYjFCIIBqJWQ+PGcOqU3EZo8mSlIzI6MXhi3qZoEhQTE0NwcDDBwcEAhIWFERwczO3btwEYPnw4P/30EytWrODSpUsMGDCA2NhYevXqpWDUQl7XogWEhMCYMWBpKW+7eRPatIEuXeRxhu7ehb175b9vxcwc/Kalrp/9GrSiAaYpuxV5i76b+zLt4LTXH2xqLCzkifpUKihVCjLp2ZuXlGtVjoLeBQG4feA2947fUzgiwZBUkoIzxO3bt49GjRql296jRw/+97//AbBgwQK+//57Hj58iJ+fH/PmzSMwMDDdfQwtOjoaZ2dnoqKiRPugfCw0VJ57bO/e1G3W1pCUJF8JMDOT241+8slbFCJJsCcIHu2X1wMWQbn+bxO2oJCn8U8pMbsE8ep4nK2duTnsJi42LkqHZXi//QaNGkE+aZpwetlptvTdAkClrpXovE7MRZmbZef7W9EkKDdauHAhCxcuRKPRcOXKFZEECUgSrF4tzzsWkcEI+ubmck1RiRJvUcjjY7DzxSzzDl7Q7oqYW8xEfbLpE34J/gVna2f+6v4XQZ5BSockvCV1gpq5peYS+ygWlZmKwdcG41raVemwhExkJwkSn7IvGThwIBcvXuTECTE4liBTqeDDD+VaobZt0+/XaODatbcspGAgeHSDcgOg2UGRAJmwbxt8y7f1vyVsaFj+SoCWLYOXOrLkFRY2FgQMCgBA0koc++GYwhEJhiJqgjIhLocJGbl7Fzw89DvFGKQmCEDSiuRHMD0aDXz+OcyfD4GB8rVj27zXUy7ucRxzPOagjldjaW/J53c+x9Y17/2feYGoCRIEIylRQm4DlFbfvgZIgEAkQIJpevIkdUqNY8dg0yZl4zESu4J2+PX0AyA5NplTS08pG5BgEOJTVxCyqU8f+PXX1PXDh0GrNUJBSVEQn/XR0YXcKSI2gm1XjTG+Qi5RuDD8/Te4uclDrqcdbCuPqfV5LZBn0uD4vONokjTKBiS8NZEECcIbeP99ueYf4Nw52LLFgCfXJELoHNhcBk4PN+CJhZw28b+JlP6hNF3WdyE8Jm+2lwHkUUVv3JCHWs/DCpQrQMUOFQF4fv8559eeVzgi4W2JJEgQ3oBKJY8jlOK77ww4eK42ES5MgaSncOs3eCqq3U3V0/inxCbHEpccx/RD05UOx7icndNv0+S9mpKXB08UzWpNm0iCXrJw4UJ8fHwICAhQOhQhl2vdGqpXl5dPn4bt2w10YksnqJwmwxKTq5qskfVGYmshN55ddHIR95/fVziiHHTyJPj4yFWleUjJuiUpHlgcgPBz4dzYfUPhiIS3IZKgl4gu8kJWqVTw7bep6xMnGrA2qGx/sC8tLz/cDQ92GejEQk4q4lCEgQEDAUhQJ+TNUaQzcvSoPL/YlSvyUOv38s4oyyqVSkylkYeIJEgQ3kKHDlD5xdRfR49Cmqnu3o65FVRNMy9T8Ei5C71gcr6q+xX2lvYALDm1hLvRbzvXigmoUiX1jVG6NNjYKBuPgXm/441LaRcArv9znfCQPNzeK48TSZAgvAUzs/S1QQZTqhu4vrje9uwM3FpnwJMLOaWQfSEG1xwMQJImiSkHpigcUQ6ws4PNm+Vh1nftggIFlI7IoMwszKg1rJZu/ejsowpGI7wNkQQJwlvq3BkqVJCX9++XbwahMoNqaRrTnv1G7jkmmJwv6nyBg5UDAMtOL+NW5C2FI8oB7u4wa5Y82V4eVK13NWxc5Bquc6vP8fz+c4UjEt6ESIIE4S2ZmxuxNqhIUyjSTF6ODYNrSwx4ciGnFLArwLDAYQAka5OZtH+SsgEpJTlZrhnKA6wcrPDv7w+ANlnL8QXHFY5IeBMiCRIEA+jeHby85OXdu+GIIdtK+qVpTHtlgWgbZKKG1x6Os7XcjXx58HKuP72ucEQ5LDISWrWCFi3yzKjSgYMDMbOUv0ZPLjpJUkySwhEJ2SWSIEEwAAsL+Prr1HWD1ga5VYcyvcH7S2h+VEyvYaJcbV0ZXlse/FIjaZh0IJ/VBq1cKfcckCTo3Ruem/7lI8dijvi+7wtAQmQCZ5afUTgiIbvEp+lLxDhBwpv66CMoVUpe3r5dHibFYAKXQbUZYO1mwJMKOW1o4FBcbVwBWHl2JVefXFU4ohw0eLA81HqBAnKjaUdHpSMyiNrDU7vLH51zFK1G1NSaEpEEvUSMEyS8KUtLGJVmXMNJhvyhr1IZ8GSCUpxtnPmizhcAaCUtE/6boHBEOUilkucWO3kS6tZVOhqDca/ijldz+Vp4ZFgkoRtDFY5IyA6RBAmCAfXqBcXlwWTZtMmIg+UmPIK4fDDeTB40uOZgCtjKXcbXhKzhUsQlhSPKQdbW4OmpdBQGl3bwxMMzD4upNEyISIIEwYCsrWHkyNR1g9YGAajjIGQibPaCU8MMfHIhJzhaO/JV3a8AkJDyV21QRn77DQYNMuBw6zmvTLMyFPYtDMC9Y/e4c/iOwhEJWSWSIEEwsD595CFSAP74Ay5eNODJJS1cXQjqGLizAR6LQdpM0cCAgRSyKwTA7xd+JyQ8ROGIFDJjhtxOaOFCmG66E8yKqTRMl0iCBMHAbG3hyy/lZUmCyZNffXy2WDqA7/jU9eCRJv0LOr+yt7JnVD25AVnFghWJSoxSOCKFlCyZuhwWZtKvZd/3fHEsJjf2Dv0rlCdXnygckZAVKklcvMxQdHQ0zs7OREVF4eTkpHQ4gomJjZWbPjx+LE+tERoK5coZ6OTaZNhaCZ6/6FnU8G8o3sZAJxdySlxyHJtCN9G1UlfMzcyVDkc5U6fKI45++aXJdwA4OO0ge0bLEwjW+KwGbRaK96USsvP9LWqCBMEI7O3laZMAtFqYYsjposwsoWqaEwaPAq3GgAUIOcHO0o73fN/L3wkQwOjR8NVXJp8AAfh/6o+lvSUAwcuDiXsSp3BEwuu8URJ09epVJk+ezMCBAwEIDQ3lnNG6wQiCaRo4EFzlIWFYtUqu7TeYku9CgZryctR5uLnKgCcXBIU9fgxPnyodRbbZutpS7ZNqAKjj1ZxcZMjBwgRjyHYStGXLFgICArh06RKrVskfvJGRkXzxxRcGD04JYrBEwVCcnGDYMHlZo4Fp0155ePaoVOA3I3X93BhQxxuwACGnnXlwJv/OKZbWlStQqxa88w4kmt6EwbWG1UJlJtdqHZ9/HHWCWuGIhFfJdpsgX19flixZQp06dXB1deXZs2ckJiZSsmRJHj16ZKw4c5xoEyQYQmSkPIp0dLQ8mOL16/ptQd/avjZwf5u8XO178M4bP0bymyHbhzD/+HwAjnxyhFolaikckUK0WqhcGS69GDtp6FCYO1fRkN7E+q7rubhe7hbablk7qn9SXeGI8hejtgm6e/cuderUAeRugQCWlpZoNKJNgiC8zMVFni0A5Am0Dd4L2G8a8KItxfWfxeSqJsq3sK9uecHxBQpGojAzM/jf/+Qulr6+MGKE0hG9kZe7y0ta0f8ot8p2ElS+fHn+++8/vW379+/H29vbYEEJQl4ybJjcUBpg2TJ48MCAJ3fxhfIDwXcCtDghJlc1UT39elK3ZF3mt5rPsvbLlA5HWTVrwo4dcPCggatNc06JwBJ41PMA4PGlx1zbcU3hiITMZPsTc/LkybzzzjuMGDGCxMREvv76a9577z0mGXxoXEHIGwoWhM8+k5cTE+H77w1cQI354DtWHkNIMEmW5pYc7H2QQTUHYWNho3Q4ymvQQG5UZ8LE4ImmIdtJUNOmTdm3bx+JiYk0atSIZ8+esX37doKCgowQniDkDSNGyDX8AIsXQx5qPicIxqfVwoQJ8oBbJqJ8u/K4lXMDIOzfMB6cMWQVsGAo2U6CDh06RJUqVViwYAF///03ixYtws/Pj8OHDxsjPkHIE9zdoV8/eTk+HmbPNmJhsXcgxpD98QUl3I2+KybiBPkN8957MH48tGkDERFKR5QlZuZm1Po8tYG7qA3KnbKdBLVq1SrD7W3btn3rYAQhL/vqK3mCVZCnSnpi6FH1k2PgzFewpRycGmrgkws55VbkLfpu7ovnXE/2hO1ROhzlqdVw+bK8fPMmvNQmNTfz6+GHbQG5Cvj82vNE3cmn06PkYtlOgjL6ZRIREYG5eT4f9VQQXqNYMfjkE3k5JsYIPX9V5nBzDWgT4d4WeHTAwAUIOeHo3aMsO7MMjaRhzN4xojbI0RH+/hsqVIDNm6FzZ3n7gwdy7ZBBexoYlqWdJQGfyWPOSRqJY/OOKRyR8LIsJ0Gurq64ubkRFxeHm5ub3q1YsWK8++67xoxTEPKEkSPl8YIA5s2TxxEyGAtbqPJd6vqZr0x6Qsr8qkulLlQqVAmQE6Id13YoHFEuUKIEnD8vXw5L8eCB3E4oFydBAAEDAzC3lisJTi89TWK06Q0AmZdlOQn666+/+PPPP7G2tmbjxo2626ZNm7hw4QKLFy82ZpyCkCd4eECPHvJydDTMn2/gAkr3AGf5C5QnR+HuXwYuQDA2M5UZE4Im6NbH7hsraoMALCyUjuCNOLg7UOWjKgAkRidyetlphSMS0sr2iNFPnz7Fzc3NWPEobuHChSxcuBCNRsOVK1fEiNGCwd24AeXLy1NpuLnJzRwcHQ1YwN0tsL+9vOxUAVqfBzPT/ALJr7SSlupLqnM2/CwAm7tvpl2FdgpHlcssWCCPRPq//6X+ssilIi5F8KPPjwA4lXRiyPUhmFuKJiTGkp0Ro7OdBAHcunWLw4cP8/jxY71fKEOGDMl+tLmUmDZDMKYePWDlSnl52jT5MpnBSBLsbgARB+X1mkugbD8DFiDkhE2hm+i4riMAfkX8ON3vtG6U/nxvzRr44AN5uVgxOHMGChdWNqbXWNN2DVe3XgWg05pO+L7n+5p7CG/KqNNm/PHHH1SsWJEZM2YwYsQIli9fzogRI9i4ceMbBywI+c3XX8szBADMmgWxsQY8+cuTq4aMB7UhCxByQvsK7fEv6g9A8MNgNoaKz1gA1q9PHX0U5NnmfXzk7bmY3uCJM4+IS5y5RLaToPHjx7NixQrOnDmDvb09Z86cYcmSJdSoUcMY8QlCnlShAnTrJi9HRMDSpQYuoFBtKPGOvBz/AC7/YOACBGNTqVR81yi1ofu4fePQirnh5AbSQUGwZYs8tcZ//8nrFy4oHdkreQZ5UrR6UQAenH7Arf9uKRyRAG9wOczJyYmoqChUKpVuFnm1Wk2JEiV4+PChseLMceJymGBsFy7IE2YDFCkitxVKGVXaIKIvw9ZKIGnApQq0OiPmFjMxkiRR++faHLsnd61e13kdXSt1VTgqhWm1qdWoWdmei4SsCeHPD/4EoHzb8ry35T2FI8qbjHo5zM3NjadPnwJQvHhxgoODefDgAQkJCW8WrSDkU5UqQcrIEg8fws8/G7gApwrg/QVUnw0tjosEyAS9XBs0ft94NFqNghHlApklOrk8AQLw6eKDU0n5S/nK31eIuGQao1/nZdl+1XTr1o2dO3cC8MknnxAUFES1atXollK3LwhCln37bery9OnyBKsG5TcNKn4O5tYGPrGQU5qVaUbdknUBuPT4EusurFM4IuFNmVuaEzg0ULd+dM5RBaMR4A17h6V16NAhoqOjM51Ow1SJy2FCTmnfXm7eALBkSeocY4KQ4t+wf2mysgkA5dzKcXHgRSzy87AHcXFw5Yq8XLCgPJiiiUiISmBOyTkkPU/C3NqcYbeG4eDuoHRYeYpRL4e9rG7dujRq1IiZM2e+7akEIV8aMyZ1eepUSE42YmHRV+SbYFIal25MkGcQAFefXmX1udXKBqS00FCoVk2+TZ2qdDTZYuNsg38/udefJlHDiR9PKBxR/patJGjfvn3MmjWLLS9+tmo0GubPn4+npyfLly83SoCCkNcFBEDLlvLyzZuw2hjfb0lRcOIz2OoDp/LOeF75SdpRpL/b/x3JGmNmy4IxBQ4JRGUuj/l0YuEJkuPEc6mULCdBc+fOpU2bNqxbt47u3bszduxYGjZsyPLly1m4cCHnz583ZpyCkKelrQ2aPFmeONugzG3g/na5p9iDf+ChmJ3c1DQo1YCmZZoCcOPZDVaeXalwRAoqWBD695dv9eopHU22OXs4U7mb3DU0/kk8Z1eeVTii/CvLSdCPP/7I7t27OX78ONu3b2fy5Mk0bdqU06dP8+6774qRTAXhLdSpA40by8vXrsE6Q7d9NbeGKpNS14NHghhzxuSkrQ369+a/CkaiMA8PWLRIvr1nmt3M9QZPnH0ESSsGT1RClhtGpzQySmFjY0NMTAwWJjqp3euIhtFCTtu3Dxo1kpe9veUx4Qza61fSwvbqEPniV2fdtVBK9Oo0NV/t+opmZZrRtExT8ePTxK1ovIKbe28C0O2vblTsUFHZgPIIozSMfjlXsrOzy7MJkCAooWHD1Jr9S5dgwwYDF6AyA7/pqetnvwZNkoELEYxtRrMZNPNqJhKgPECvNmjWEQUjyb+ynATFxcVRvXp13S06OlpvvXr16saMM8csXLgQHx8fAgIClA5FyGdUKv22QZMmyYPgGlTR5uD+4rpbzA24Zuj5OgRByKpyrcpR0LsgALcP3Obe8XsKR5T/ZPly2IoVK157TI8ePd46oNxCXA4TlCBJULs2HJNnSeCvv6BDBwMX8uQk/PMiybcuBO2vgaV4jZsiSZLYE7aHuiXrYmtpyDlXcrnQUOjSRV7u2lX/14OJOb3sNFv6yj2uK3WtROd1nRWOyPRl5/v7rQdLzKtEEiQoZetWaNtWXvb3hxMn5FoigzrYHW6/aH1deSxUmfDq44VcJ/hhMIO3D+bg7YPMaTGHYbWGKR1SzgkOlscIArmH2KJFiobzNtQJauaWmkvso1hUZioGXxuMa2lXpcMyaTk6WKIgCIbVujWkXF0+dQq2bzdCIVUngepFm77720RPMRNkpjLj4O2DAEw9OJXYpFiFI8pBZmZgby/frE17ShgLGwsCBsk1s5JW4tgPxxSOKH8RSZAg5DIqlf6cYhMnypfJDMqxLFQeAzWXQvMjYnJVE1TFvQpdfLpQsWBF5rWcl78uh1WpAjEx8m3uXKWjeWsBAwKwsJV/lJxedpr4Z/EKR5R/iMthmRCXwwQlabVQtarcTR5g1y5o2lTZmITc51n8M5ysnTA3M1c6FOEtbf1sKycXnQSgybQm1BtpeoNA5hZGuxymVqtZuHAhCQkJbxWgIAivZmaWvjZIEF7mausqEqA8otbnteBF27/j846jSdIoG1A+ka0kyMLCgm+++QYbGxtjxSMIwgudO0PFF2On7d8v34zq2VmIFNPfmDpRuW+aCpQroBss8fn955xfK96LOSHbDQFatGjB7t27jRGLIAhpmJvDN9+krhutNijpGRz+CLZXg5ODjNAAScgJZx6cof1v7Zl8YLLSoRjfo0cwfbp8++cfpaMxmLSDJx6eeVgktDkg222C+vTpw9q1a2nevDkeHh6YpRnXf/bs2QYPUCmiTZCQG6jVcm3Q9evy+uHD8jhCBqVNhr99IOaavB60DYq1MnAhgjE9jHlIyTklUWvVuNi4EDY0DBcbF6XDMp6zZ8HPT17+9FNYvFjRcAxFkiR+rv0z947JgyZ+uPNDvJp5KRyV6TFqF3mNRkOXLl10BTx79kx3EwTBsCws4OuvU9eNUhtkZgl+U1LXg0eCVrRHMCVFHIrwcZWPAYhMiGTOkTkKRyS8CZVKJabSyGGid1gmRE2QkFskJ0O5cnDrlrx+4gTUqGHgQiQJ/gmEpyfk9VoroMzHBi5EMKawZ2GUX1AetVaNo5UjN4fdxM3WTemwjCMqCvbulZc9PVNrhfIArVrL/PLziQyLBKD/uf64+7orG5SJMfpgibdu3WLatGkMGjSIadOmcSvl01kQBIOztIRRo1LXJ00yQiEqFVRLM7nquTGgEb1ATUlp19L09usNwPOk58w6PEvhiIzI2Rk6dpRveSgBAjCzMKPWsFq69aOzjyoYTd6X7SRoz549+Pj4sHfvXjQaDf/99x+VKlUSjaUFwYh69YLixeXlTZvg3DkjFOLeCIq+aAsUdxuuLDRCIYIxfdPgGyzNLAH44dgPPI57rHBEwpuo1rsaNi5yL+xzq8/x/P5zhSPKu7KdBI0cOZKVK1fyzz//sGjRIrZv387KlSv56quvjBGfIAjIMwOMHJm6bpTaIAC/qegGK7kwGZIijVSQYAwezh70rd4XgNjkWL4/9L3CEQlvwsrBCv/+/gBok7UcX3Bc4Yjyrmy3CXJ1deXJkyd6vcI0Gg0FChQgMjLS0PEpRrQJEnKb+HgoXRrCw+WrV+fPg4+PEQo6/DHcXCUv+4x6kRgJpuJe9D285nmRqEnEztKOG0Nu4O6Qx9qUJCdDRIS8bGcHLi6KhmMMz+8/Z67nXLTJWmxcbPj8zudYOVgpHZZJMGqboNKlS7Nlyxa9bdu2baN06dLZPZUgCNlgawtffikvSxJMNtZwMFUngtmLD9uIA2JyVRNT3Kk4/Wv0ByAuOY7ph6a/5h4mKDRUvj5cvDjk0asQjsUc8X3fF4CEyATOLD+jcER5U7aToGnTpvHee+/Rpk0bBg4cSJs2bejevTvTpk0zRnyCIKTRvz8ULCgvr10LV68aoRD7UlB1MtRZA033i8lVTdCoeqOwtZAnVF10chH3n99XOCLhTdQentpd/uico2g14geJoWX706158+aEhIRQt25dJEmibt26nDt3jhYtWhgjvhy3cOFCfHx8CAgIUDoUQUjH3h6GD5eXtVqYMuXVx78x7y/A8z2RAJmoIg5F+CzgMwAS1AlMO5jHfqQ6OUGnTvKtWjWlozEa9yrueDWXB0uMDIskdGOowhHlPdlqE6RWqylZsiRhYWF5fv4w0SZIyK2io+WhUZ49k6fWuHpVbiskCGk9in1E6R9KE5cch5W5FdeHXKeEUwmlwxKy6frO6/za4lcAigcW55Mjn6BSqRSOKnczWpsgCwsLHBwcSEpKeqsABUF4c05OMGyYvKzRQI5ciY44BE9FmwRTUti+MINrDgYgSZPElAPGqjYUjKlMszIU9i0MwL1j97hz+I7CEeUt2a7r/uabb+jVqxchISFERkYSHR2tuwmCkDOGDJGTIYDly+GOsT4XE5/C/o6wqx6cGiwmVzUxX9b5EgcrBwCWnV7GrUgxsK2pEVNpGFe2k6DevXuzceNGqlatSoECBXB1dcXFxQVXV1djxCcIQgZcXGCw/COf5GR5Mm2jsHSC6CvycsQhuLfZSAUJxlDArgDDAocBkKxNZtJ+Yw0wJRiT73u+OBZzBCD0r1CeXH2icER5R7aToHPnznH9+nXCwsK4ceMGN27c0C0LgpBzhg2TG0oDLFsGDx4YoRAzC/1xgoJHg1ZthIIEYxleezhO1nK14YqzKwiPCVc4IgMIC4PGjeXbzJlKR2N05lbm1BxcU16R4OhcMZWGoWQrCdJoNAQEBFCiRAlKlSqV7iYIQs4pWBA+kzsAkZgI3xtrcODi7aFgHXk5+hKErTBSQYIxuNq6MrzWcNpXaM+xPsfyxsCJsbHyBKp798Lly0pHkyP8P/XH0l6eEiV4eTBxT+IUjihvyFYSZG5uTtmyZXn69Kmx4hEEIRtGjJAHUQRYvBgePTJCISoVVJuRun5uLKjFB7ApGdtwLJu6b6Ja0bzbnTyvs3W1pdon8vOnjldzctFJhSPKG7J9Oax///68++67bNmyheDgYM6dO6e7CYKQs9zd4dNP5eX4eJg920gFFaoLJTq8KOg+XJ5npIIEY8hzXap9fCAuTr4tzD8T/dYaVguVmfxcHp9/HHWCuDT9trI9d1jaOcP0TqRSodFoDBJUbiDGCRJMxf37UKaMfEnMwQFu3oQCBYxQUNRF2OYrT6Nh6Qztr4O1MQoSjE2j1RCdGI2rrejQYmrWd13PxfUXAWi3rB3VP6mucES5j1HnDtNqtRne8lICJAimpFgx+OQTeTkmBubONVJBzj5Qpre8nBwFF8S4M6ZGK2lZd34dlRdVZsDWAUqHI7yBl7vLS1oxbMXbMNiY+M+ePTPUqQRByKaRI8FSbjPJvHkQGWmkgnzHg/mLRkiR58TkqiYmPjmeITuGEPo4lN8v/E5IeIjSIQnZVCKwBB71PAB4fOkx13ZcUzgi05blJKhw4cJ66y/PFSZ6hwmCcjw8oEcPeTk6GubPN1JBdsWh2kxosBka7RRzi5kYeyt7RtYdCUBdj7poJBOtwY+MhF9+kW8HDigdTY5LWxt0eOZhBSMxfVluE+To6Mjz5891625ubnq9xF7eb+pEmyDB1Ny4AeXLy1NpuLnJbYMcHZWOSsht4pPjOXTnEE1KNzHdBtMXL0KlSvJy797w88/KxpPDtBotC70X8vSq/B3c73Q/ilYrqnBUuYdR2gS97s1ism8mQcgjypSBDz+Ul58+hR9/VDYeIXeytbSlaZmm4jPbhJmZm1Hr81q6dTGVxpsTddmCkId8/TWkdOCcNUseU87oHuyEx2IEWyEHFS0KS5bIt48/VjoaRfj18MO2gNw+7/za80TdiVI4ItNkkdUDk5KSmDcvdWyQhIQEvfXk5GTDRiYIQraVLw/dusFvv0FEBCxdCp9/bqTCEh7D4ffg4W5wqwEtjssDKwomQ5Ikdt3YxZ4be5jezFgT0BmBqyv066d0FIqytLMk4LMA9k/cj6SRODbvGM2/b650WCYny22CgoKCXlt9unfvXoMElRuINkGCqbpwASpXlpeLFJHbCqWMKm1QWg3sqAaRL3oY1fsdPLoYoSDBWD748wPWhKwB4MgnR6hVotZr7iHkJjHhMcwtNRdNogZrJ2s+v/M51k7WSoeluOx8f2d7sMT8QiRBginr3Bk2bJCX58+HQYOMVND97bCvtbzsUBbaXgQzSyMVJhjastPL6LulLwDNyjRj50c7FY5IyK7NfTdzZtkZAJrPak7t4bVfc4+8z6iDJQqCkPt9+23q8vTp8mjSRlG0JRQOkpdjrsG1n4xUkGAMPar2oLRLaQB23djFgVsm0t1ckiA5Wb6p8/fUEWmTnqNzj6JJNtFhDxQikiBByIP8/KBdO3n57l1YYayJ31Uq8EvTluT8BEiOMVJhgqFZmlsytuFY3fq4feMUjCYbQkPBykq+5fO2QYW8C1GuTTkAou9Ec/GPiwpHZFpEEiQIedSYManLU6fKP5qNomDN1LZACY8gdJaRChKM4cMqH1LWrSwAe2/uZW9Y3mnbmV/oTaUx8wiilUvWiSRIEPKogABo2VJevnkTVq82YmFVJoPKXF6+NBPiw41YmGBIFmYWjGuYWgM0bt+43P8lamcH9evLt3LllI5GcZ5BnhStLg+W+OD0A279d0vhiExHtpOgNm3aZLi9ffv2bx2MIAiGlbY2aPJkIzafcCoHZV9cllDHwIVJRipIMIb3Kr9HxYIVAThw+wB7wvYoHNFrlCoF+/fLt9GjlY5GcSqVSkyl8YaynQQdyGSeloMHD751MLnBwoUL8fHxISAgQOlQBOGt1akDjRvLy9euwbp1Riys8liwsJeXY2+LyVVNiLmZOeMbjtetj9k7JvfXBgl6fLr44FRS7gl1detVIi5FKByRachyF/mUgRFHjhzJ9On6g2pdv36dXbt2cfFi3mmQJbrIC3nFvn3QqJG87O0N58+njiptcNd/AYfS4N7ISAUIxqKVtFRZVIULERcA2Pb+NlqVa6VwVEJ2HJ51mF1f7AKget/qtFvaTuGIlGGUcYIavfgUPXDgAPXr19dtNzMzw93dnWHDhlGzZs23CDt3EUmQkFdIEjRoACmVtb//Dl3EmIZCBjZc3EDn9Z0BqFGsBsf7HBdzjJmQxOhE5pScQ2J0IubW5gy7NQwHdwelw8pxRh0s8YsvvmDmzJlvFaApEEmQkJfs2gXNX4yoX6UKnDljxNogwWRpJS3Vl1TnbPhZADZ330y7CrmwNuH+/dT5YBo2hM8+UzaeXGTnFzt1E6o2GNuARhPyX62sUQdLzA8JkCDkNU2bQmCgvHzuHGzZkgOFShLc+RMe7c+BwgRDMFOZMSFogm597L6xubNt0PPncpXm77/D8eNKR5OrBA4JRGUu196dWHiC5Dgxr+erZCkJ8vDw0C27urri5uaW4U0QhNxJpdLvKTZxopyjGE1CBOysAwfehZNDRCNpE9K+Qnv8i/oDEPwwmI2hGxWOSMgOZw9nKneTJw+MfxLP2ZVnFY4od8vS5bCDBw9Sr149AP77779Mj2vYsKHhIlOYuBwm5DWSBDVqwOnT8vrWrdC6tbEK08I/NeHpKXm99q9Q+gMjFSYY2rar22izRh4OpXLhypztfxYzVS66fpqcDA8eyMv29lCggLLx5DIPTj9gqf9SANzKuTEodBAqs/zTtktMoGoAIgkS8qKNG6FTJ3m5Vi04fFiuJTKKh3vg36bysr0ntA0FczHDtSmQJInaP9fm2L1jAKzrvI6ulboqHJWQHSsar+Dm3psAdPurGxU7VFQ2oBxktDZBd+7cYffu3Tx+/BiAn376iQ4dOjBmzBiSkpLePGJBEHJEhw5QWa4p5+hR2GPMMfGKNIEiL1pjx96Eq4uMWJhgSCqViu8afYe5ypw+1foQWDxQ6ZCEbHp5Kg0hY1lOgv744w/Kli3LBx98gJeXF99//z1z586lfPny/Pnnn4wcOdKYcQqCYABmZunbBhlVtTRjil2YBElRRi5QMJRmZZoRNjSMn9r/RCmXUkqHI2RTuVblKOhdEIDbB29z99hdhSPKnbKcBE2YMIGNGzcSHh7OypUr+frrr9myZQvff/89W7duZcOGDcaMUxAEA3n3Xaj4omY8ZeYBo3H1A88XbYESn8Cl741YmGBIKpWKks4llQ4jYzEx8Pff8i04WOlociWVmYraw9PUBs0StUEZyXISdPv2bVq/aEXZvn17LC0tKVOmDACenp5ERkYaJUBBEAzL3By++SZ13ei1QVUmgpmVvBw6G+LuG7lAIc+7fx/atZNvc+YoHU2uVeXDKtgXlqeyubThEs/CnikcUe6T5SQobftplUqFjY2NUQISBMH4uncHLy95efduOGLMH4kOpaHci8HsNPFwfsKrjxdynQR1AvOOzaP+8voka8S4M6bCwsaCgEHyPJiSVuLo3KMKR5T7WGT1wKSkJN38YQCJiYl668nJ4o0hCKbCwgK+/ho++URenzgRtm0zYoGVvoHrP4P6OSTHyF3oc1OXa+GVem/qzW/nfwNg5dmVfFL9E2UDKlAAJk2Sl319lY0llwsYEMDBqQdRx6s58/MZgsYHYetqq3RYuUaWu8gHBQW9dg6ZvXv3GiSo3EB0kRfyuuRkKFcObt2S10+ckMcRMpqbv4FjWSgQYMRCBGM4fOcwdX+pC8CQmkP4odUPCkckZMfWz7ZyctFJAJpMa0K9kfUUjsi4xDhBBiCSICE/WLwYBgyQlzt0gL/+UjQcIReb+N9E2pZvS7Wi1ZQORcimJ1efsKDCApDAsZgjQ8OGYm5lrnRYRmPUucMEQcg7evWC4sXl5U2b5HnFBCEjYxqOEQmQiSpQroBusMTn959zfu15hSPKPUQSJAj5mLU1pB3iK6WZhdFpNXBjJTzcnUMFCkL+lnbwxMMzD+fOiXEVIJIgQcjn+vQBd3d5+Y8/4OJFIxeY8Ah2VIOjPeDUUDkhEkyKRqvht5DfiE+OVyaAGzfAxUW+ffqpMjGYmJJ1S1I8UK72fRTyiBu7bygcUe4gkiBByOdsbeHLL+VlSYLJk41coHUhsHCQl6MuQthKIxcoGNKBWweovKgy7//5PktPLVUmCK0WoqLkW1ycMjGYGJVKJabSyIBIggRBoH9/KCiPsM/atXD1qhELU6nAL810GiFjQa1QjYKQbc42zoQ+DgVg6sGpxCUrkIRYWsrDnlesCMWK5Xz5Jsr7HW9cSrsAcH3ndcLPhSsbUC4gkiBBELC3h+HD5WWtFqZMMXKBhetD8XbyctxduDLfyAUKhlLFvQpdfLoAEB4bzo8nfsz5IEqVgkuX5Nv06a8/XgDAzMKMWsNq6daPzBa1QSIJEgQBgIEDwdVVXl61CsLCjFxg1SmpAyZemAqJT41coGAo4xqOQ4U8btz0Q9OJSYpROCIhq6r1roaNizzjQ8iaEJ7ff65wRMoSSZAgCAA4OcGwYfKyRgPTphm5QJfKULqHvJwcCRenGrlAwVAqFa5E98rdAXgc95gFxxcoHJGQVVYOVvj39wdAm6zl2PxjCkekLJEECYKgM2SInAwBLF8Od+4YuUDfCWD+Yh7Cy/Mh9raRCxQMZVzDcZi9qMn7/vD3RCdGKxyRkFWBgwMxs5Sfu1OLT5EUk6RwRMoRSZAgCDouLjB4sLycnJwDzS3sS0L5IfKyNhHOjTVygYKhVChYgQ+rfAjA0/inzDs27zX3MKCICPmFOngwrFiRc+XmEY7FHPF9X55zLSEygTPLzygckXJEEiQIgp5hw+SG0gDLlsGDB0YusNIosHKV2weZWcmTqwomYUyDMZir5OkXZh2ZRWRCZM4UHB0NCxbIt127cqbMPKb28NTu8kfnHEWryZ/vO5EECYKgp2BB+OwzeTkxEb7/3sgFWrlCreXQ6hwELhWzy5uQsm5l6VFVbtcVmRDJnCNzFI5IyCr3Ku54NfcCIDIsktCNoQpHpAwxgWomxASqQn4WHg6lS0N8vDyY4s2bULiw0lEJuVHYszDKLyiPWqvG0cqRm8Nu4mbrZtxCExLg/Iv5r9zcoEwZ45aXR13feZ1fW/wKQPHA4nxy5BNUKpXCUb09MYGqIAhvxd09dTaC+HiYPVvZeITcq7RraXr79QbgedJzZh2eZfxCbWygRg35JhKgN1amWRkK+8q/bu4du8edw8buCZH7iCRIEIQMffmlPMEqwMKF8ORJDhWsSYIrC+He1hwqUHhb3zT4BitzKwB+OPYDj+MeKxyRkBViKg2RBAmCkIlixeCTT+TlmBj44YccKDQ+HLb6wMlBcPpz0CbnQKHC2/Jw9qBv9b4AxCbHMuPQDIUjErLK9z1fHIs5AhC6KZQnV3Pq107uIJIgQRAyNXKkPE0TyElQZKSRC7QpDHbyTNc8vwrXfzZygYKhjK43GmtzuepwwfEFhMcYcV6qhAQ4dky+XbtmvHLyAXMrc2oOrimvSHJPsfxEJEGCIGTKwwN6vBjUOToa5ht7iq90k6uOh2QxJYMpKO5UnP41+gMQr45n+iEjDjL14AHUqiXfxoqxpd6W/6f+WNrLv3aC/xdM3GMFJsVViEiCBEF4pdGjwVweCoa5c+G5sacaKlgLSr4rLyeEw+W5Ri5QMJRR9UZha2GLvaU9rjauSocjZJGtqy3VPqkGgDpezYlFJxSOKOeIJEgQhFcqUwY+lAcG5ulT+DEnJg2vOhleDMLHxRmQEJEDhQpvq4hDEdZ3Wc/NYTcZ03CM8QpycoKhQ+Vby5bGKycfqTWsFiozuXv8iQUnUCeoFY4oZ4hxgjIhxgkShFRXroC3N2i1UKiQPMN8yqjSRnO8P1xbIi+XHwI1cqJltiDkX+u7rufi+osAtFvWjuqfVFc4ojcjxgl64c6dOwQFBeHj40OVKlVYv3690iEJgkkqXx66dZOXIyJg6dIcKNR3HJjbycvXFkHMjRwoVBDyL73u8rOOIGnzfh1Jnk6CLCwsmDt3LhcvXmTnzp0MGzaM2NhYpcMSBJP0zTepyzNmyIMoGpVtUag4XF7WJsNZI15eEYziWfwzxvw7hpuRN5UORciCEoEl8KjnAcDjS4+5tiPv97zL00lQ0aJF8fPzA6BIkSIULFiQp0+fKhuUIJioSpXg3RftlR8+hJ9zove6z5dgXRDMLOXu82JyVZOxN2wvnj94MunAJCbvn6x0OEIWpa0NOjzzsIKR5AxFk6D9+/fTrl07ihUrhkql4q+//kp3zMKFC/H09MTGxobAwECOHz/+RmWdOnUKjUZDyZIl3zJqQci/vv02dXn6dHmCVaOydILav0Lby+A/R0yuakL8ivihQm5ou+b8Gp7FPzPcye/ela/Rli8Pn39uuPMKlG9XHrdy8txvN/fe5MHpBwpHZFwWShYeGxtL1apV6d27N506dUq3f926dQwfPpzFixcTGBjI3LlzadGiBZcvX6bwi9kc/fz8UKvTt2LfuXMnxYoVA+Dp06d8/PHH/PTTTwb/HzQaDcnJYlTb3MjKygozM/GlaUh+ftC+PWzeLH8PrVgB/foZudBiLYxcgGAMrraujKw7krDIML6p/w2utgbsMq9Ww9Wr8vLDh4Y7r4CZuRm1Pq/Fts+2AXLboE6r038/5xW5pneYSqVi48aNdOzYUbctMDCQgIAAFixYAIBWq6VkyZIMHjyYUaNGZem8iYmJNGvWjL59+/LRRx+98rjEND9ro6OjKVmyZKatyyVJ4uHDh0QafQhd4U2ZmZlRunRprKyslA4lTzl5EgIC5GVPT7nnWMqo0oKQI27fhmryuDa88w4sW6ZsPHlMclwyczzmEP8kHpW5iqFhQ3Eu6ax0WFmWnd5hitYEvUpSUhKnTp1i9OjRum1mZmY0bdqUI0eyNsmbJEn07NmTxo0bvzIBApg6dSoTJkzIcnwpCVDhwoWxs7NDpVJl+b6C8Wm1Wu7fv8+DBw/w8PAQz48B1aghD82yYwfcvAmrV0PPnjlUuDoOLs8Dp/JQMu/+OhVew8MjB2f0zX8s7SwJ+CyA/RP3I2kkjv1wjOYzmysdllHk2iTo8ePHaDQa3N3d9ba7u7sTGhqapXMcOnSIdevWUaVKFV17o1WrVuHr65vu2NGjRzN8+HDdekpNUEY0Go0uASpQoEAW/yMhpxUqVIj79++jVquxFFUVBjVmjJwEAUyeLA+maGHsT5P4cNjhD/H3wL40FGsL5qKWz5TEJcfxPPE57g7urz9YUFTAwAAOzTiEJlHDqaWnaDCmATbONkqHZXB5usFEvXr10Gq1BAcH624ZJUAA1tbWODk56d0yk9IGyM7OzihxC4aRchlMo9EoHEneU6cONG4sL1+7BuvW5UChtu7g7CMvx4bBtcU5UKhgCInqROYdm4fXPC+G7hiqdDhCFji4O1DloyoAJD1P4vSy0wpHZBy5NgkqWLAg5ubmhIfrz0QcHh5OkSJFFIpKn7jEkruJ58e4xqQZtmfyZHk0aaPzm5a6fH4iJEfnQKHC21Jr1Uw+MJmHMQ9Zd2EdIeEhSockZEHt4and5Y/9cAxNct77QZlrkyArKyv8/f3Zs2ePbptWq2XPnj3Url37FfcUBCEnNGwI9evLy5cuwYYNOVCoW3Uo9Z68nPgYLs3MgUKFt2VvZc+ouqmdWcb/N/7tThgVBd99J9/++OPtziVkqpB3Icq1KQdA9J1oLv5xUeGIDE/RJCgmJkZ3mQogLCyM4OBgbt++DcDw4cP56aefWLFiBZcuXWLAgAHExsbSq1cvBaMWBAFApdKvDZo0KYdqg6pOkgdPBLg0C+Lz9jgmeUX/Gv0p4iDX4v956U/OPDjz5ieLioJx4+SbmA7JqPSm0ph5hFzSodxgFE2CTp48SbVq1aj2oqvj8OHDqVatGmPHjgWgW7duzJw5k7Fjx+Ln50dwcDA7duxI11jakBYuXIiPjw8BKX2AjSw8JJwHpx/obuEh4a+/01vo2bOn3jAEAH/88Qc2NjbMmjXLKGUmJCTQs2dPfH19sbCwSFf+yw4dOoSFhYVutO+0DDV4pmAYTZtCYKC8fO4cbNmSA4U6lIGyA+RlTRyEfJcDhQpvy9bSlq/rfa1bf+vaICFHeAZ5UrR6UQAenH7Arf9uKRyRYeWacYJym1eNM5CQkEBYWBilS5fGxubNW8v/N/E/9o3dl2570HdBNBzT8I3P+yo9e/YkMjJS11tu2bJlDBw4kMWLFxuthi02NpYvvviC6tWrs2HDBmxsbDIcHRwgMjISf39/ypYtS3h4uK6WEOTBMz/++GO9wTPXr1+vN3hmWoZ6noRX27oV2raVl/394cQJuZbIqBIiYLMXqJ+DyhzaXJS7zQu5WoI6gXLzy3E3+i4AJ/qeoEaxGtk/UXw87NsnLxcpkjpmkGAUIWtC+PODPwEo16Yc7//9vsIRvZqYRd4EZJYAAewbu4//Jv5n9BhmzJjB4MGDWbt2rVEvMdrb27No0SL69u372kbt/fv35/3338+w3dfs2bPp27cvvXr1wsfHh8WLF2NnZ8cvv/xirNCFLGjdGqpXl5dPnYLt23OgUJtC4P2lvCxp4OzXrz5eyBVsLGz4pn7qTLzj9o17sxPZ2kKrVvJNJEBG59PFB6eScjJxdetVIi5FKByR4YgkSAHhIeGZJkAp9o3dZ9RLYyNHjmTixIn8/fffvPPOO6889vbt2zg4OLzyNmXKlLeOafny5dy4cYNx49J/MKYMntm0aVPdtuwOnikYh0qlP6fYxImQI/XLFT8HG3cwtwWnimJyVRPRu1pvPJzlmcq3Xd3GkTvi/ZvbmVuaEzg0ULd+ZHbeec5y7WCJpmhpjaXEPIx57XGapKx1M1zZZCXmVuavPc6hiAP9TmZ9Aqft27ezadMm9uzZQ+OUwV5eoVixYnqXpTLi5uaW5fIzcvXqVUaNGsWBAwewyGDUPUMMnikYT4cOULkynD8PR4/Cnj1yeyGjsnSAuuvky2C2RY1cmGAo/2/vzuOiqtcHjn9m2FcRFJBFMM1QU1TccEkxr2BaYra4lOK1ftm10vSapiYlWolhmrlm17ymV3O52jWx0MQs0evGzSW3BFEUFBdARdnm98eRQQSRbeYw8Lxfr/PizDnfOeeZA8w88z3fxdLMkg+e+oDX//M6oNQG/fTqTypHJR4l4PUAfpn+C3cz7vL7yt/pOaMn9m72aodVaZIEVaGbKTfJTM6ssuPdvnK7yo51v1atWpGWlkZ4eDgdOnTA3r70P2Rzc3OaNGlikFhAGcxwyJAhfPTRRzRtKu06TJFWq/QUe/ll5XFEhBGSIAA3w7SdE4Y13H84H+/+mIQbCcScjWH3ud108+lW9gPk5irzhwHY2YEBO8sIhZWjFW1fb0tcVBx5d/PYv2A/QdOD1A6r0uR2WBWyd7fHwdPhkYtt/bKNNG1b37ZMx7N3L1827unpSWxsLMnJyYSEhJCZWXriZujbYZmZmRw4cIC33noLc3NzzM3NmT59Ov/73/8wNzfn559/NonBM2u7gQPBz09Z/+UXZRGiJBZmFkzrPk3/uNxtgy5dgsaNleXtt6s4OvEwHcd0RGuupA37F+4n53aOyhFVntQEPWDBggUsWLCgQlMtlPWWVOqRVBa3evSQ/8N2DMOtpWG+4fj4+LBr1y6CgoIICQlh27ZtODg4lFjW0LfDHB0dOXKk6AiyCxcu5Oeff2b9+vX6meALBs8s6GJfMHjmW2+9VeFzi6pjZgZTpkDBXMURERATY8QAstPhj9nK1Bq+1bv3ioBXWr3Cx7s/5vS10+xM3MnOhJ0ENTL9moWarI53HVq81IIjq4+QdTWL+BXxtH/TOMPJGIrUBD1g9OjRHD9+nP379xvsHG4t3egxvUepZXpM72GwBKiAt7c3sbGxXL58meDgYDIySp6CoOB2WGnLo5Kg48ePEx8fz7Vr10hPTy8ySKZWq+XJJ58ssri6umJtbc2TTz6JnZ0dIINnmoJBg5Qv5wDbt4PR2qxnpcJ/msCxmRA/EXKzjHRiUVHmWnPCuxfWAIXHhpd9ID5bWxg8WFm6dDFQhKIk9w+euPfzvejyTXuUHUmCVNL9g+4PTYQMOU7Qg7y8vIiNjSUtLa3URKiynnnmGdq0acN//vMfYmNjiwySWVZqDJ4pysfcHCbf11s9IsJIJ7ZxA5cOyvrtC3B6gZFOLCpj0JOD8Kun3EPdnbSb7We3l+2JLi6werWyjJEJWY2pQdsG+Ab5AnDt9DVO/uekugFVkgyW+BDGGCwRlFtj+TmFXXu1FlqD1wDVFjJYojpycuDxx+HcvYFl9++HdhUYD6/cbhyBrf6ADizrwnN/Kj9Ftbb26FoGbRgEQCevTuz56x6Z/LiaO/XDKf7V718ANOzakBG7q1dtvAyWaELcWrrRoG0D/SIJkDB1Fhbw/vuFj2fMMNKJnVpCo2HKevZ1OPZp6eVFtfBiixdpUb8FAAnXE/SjSYvq6/E+j1OvWT0Akn5N4sI+0/2dSRIkhKhyYWHg5aWsb96szCtmFK2mg9ZKWT85D26dN9KJRUVpNVpm9ZrFZ3/5jLNjzuJdx1vtkMQjaLQaAsfdN7FqlOkOnihJkBCiyllZwXvvFT42Wm2QXUN44l6X6fy7cKSC0zIIo+rbtC/jO4/H1qJsw4dw5YrSILpLF6VLojC6Vq+0ws5V6bTyx4Y/uJ5wXeWIKkaSICGEQbz2WuEYduvXw/HjRjpx8/fBoo6ynrACbhw10omF0WRnw549ynLStBvmmipza3Pav6V0j9fl69g7d6/KEVWMJEEPWLBgAc2bN6d9e9Me+0AItdnYwISCOU51MHOmkU5s5Qwt7jVK0uXL5KomKCk9iYMXD6odhniE9m+2x9xGGW7w8NeHybpuekNTSBL0AGOMEyREbTFqFNRT2k+yZg2cPm2kEzd9B2w8lRqhep1lclUTcSf3DqN/GE2TL5oQtjmM/If93jw8IC9PWb77zrhBCj3bera0DmsNQM6tHA4uMb3EVZIgIYTB2NnB+PHKen4+VGJ2lfIxt4FuG5Ru8i0mgUbe6kyBlZkVBy8dJCc/h6OXj7Lu2LqSC2o0yoR1BYtQTad3O8G9EQ32fbGvzBOEVxfy1yOEMKjRo6HuveF6Vq6EhAQjnbheR7ByMdLJRFXQaDRMD5qOnYUdk7tO5i+N/6J2SOIRXB53wa+/MuDlzUs3OfKvI494RvUiSZAQwqAcHGDsWGU9Lw8+leF7RCn+8thfOP/ueWY+PRNnm4rPSSiM5/6pNOKi4so+/Uk1IEmQEMLg3nkHCgZuXb4czht7+J47V+DgWPjzH0Y+sSgvjUZDXZtHjPR96xYsWqQsP/5onMDEQ3l38cazoycAl49c5uz2sypHVHaSBNUyYWFh+lnYC6xfvx5ra2uioqIMcs47d+4QFhZGy5YtMTc3L3Z+gEuXLjFkyBCaNm2KVqtlbEHVwQPWrVuHn58f1tbWtGzZkq1btxokZlG1nJzg7XvD9+TkwKxZRjx5weSqJ+fB71Mh95YRTy6qQrEG0unp8Le/KcvSpeoEJfQ0Gk3R2qDPTGfwREmCqoNLl+DDD5WfRrZs2TKGDh3KokWLGF/QgrWK5eXlYWNjwzvvvEOvXr1KLHP37l3q16/P1KlT8ff3L7HMnj17GDx4MCNHjuTw4cOEhoYSGhrK0aMyDowpGDtWaSgNsGyZEf/cbdzA7WllPesSnJhrpBOLyrqWdY2pP08lYGkAOXk5aocjStFsQDOcGjkB8OdPf5L6e6q6AZWRJEHVwaVL8NFHRk+CIiMjefvtt1mzZg0jRhhuAjw7OzsWLVrE66+/jru7e4llfH19mTdvHsOGDaNOnTollpk3bx4hISFMmDCBZs2aERERQdu2bfnyyy8NFruoOvXqKV/cAe7ehdmzjXhy/48Le4gdnwV30ox4clFRf938V2bunkl8Sjwrf19ZuMPJCVasUJaCKkahKq25lk5jO+kfx80xjdogSYJqqYkTJxIREcGWLVsYMGBAqWWTkpKwt7cvdfnYCH2f4+LiitUkBQcHExdnGv9sQukub2OjrC9eDJcvG+nEdfzgsZHKem4m7B8Fif+C1FjIN60uvbXJe10K516Zvms62XnZygNbWxg2TFl69FAnOFFMm7+2wdrJGoAjq4+QeTFT5YgeTZKgB1R6xOg5c5SZI728IDa26L6EhMJ99397KWhJP3Zs4f4HffNN4b6NGysW2z3R0dFERkayefNmnn766UeW9/DwID4+vtRl1KhRlYqpLFJSUnArmIfhHjc3N1JSUgx+blE13NzgjTeU9aws5d/FaFp+CFpLZf38BtgzBHYEwfe+cL5y/1PCMDp7dyakSQgA59LPsfzwcpUjEqWxtLckYFQAAPk5+eybv0/liB5NkqAHVHrE6IwMSE5Wlrt3i+7Lyyvcd/3eZHOXLytdZwAOHy7c/6Bbtwr33b5dsdjuadWqFb6+voSHh3Pz5s1Hljc3N6dJkyalLs7O0pVVlM2ECcoEqwALFsDVq0Y68dW9kJ9dfPvtZNj9giRC1dRHPT7Sr8/YPYO7uXdLKS3U1vHtjmgtlNTi4OKDZN8s4X+uGpEkqKo5OoKnp7IUvNMXMDMr3Fe3LqxbB82bw6lT8NJLyqSAWi2UlFDY2RU+17aMMy0/hKenJ7GxsSQnJxMSEkJmZulVltXldpi7uzupqUUb26Wmpj60nZGonjw8YOS9O1M3b8K8eUY4aX4eHBzzkJ33amIPjpVbY9VQB88O9GvaD4ALGRdYdmiZMvz4zZvKkmV681XVZA4eDrQc0hKAOzfucPgfh1WOqHSSBFW1cePgwgVlefBedaNGhfvmz4ejR5Uyx47B2rXK4CkDBpTc0C8srPC5zz9f6TB9fHzYtWsXKSkpj0yEqsvtsMDAQHbs2FFkW0xMDIGBgQ95hqiuJk4ECwtlfd48uHHDwCe8shtuXyilgA5un1fKiWpneo/p+vWPf/2YrIvnlFE4HRxgyBAVIxMlCRxX+J68d+5e8nOr79x95moHUKuFhxed98bVFdavV77lGIG3tzexsbEEBQURHBzMtm3bcCwY0e4+BbfDKuP48eNkZ2dz7do1MjMziY+PB6B169b6MgXbbt68yZUrV4iPj8fS0pLmzZsDMGbMGLp3705UVBR9+/ZlzZo1HDhwgKUyTojJadgQhg9XuspnZCjfCT74wIAnzCpjz8uylhNG1aZBGwb4DeDfJ/7NxcyLLP3jWx5WryfU59bKjca9G/PnT39yI+EGf/z7D1q82ELtsEqk0ZnS+NZGlJGRQZ06dUhPTy+WGNy5c4eEhAQaNWqEtbW1ShFWTFhYGDdu3GDTpk36bcnJyQQFBeHi4sKPP/5YYiJUWb6+vpw7d67Y9vv//DQaTbH9Pj4+JCYm6h+vW7eOqVOnkpiYyOOPP05kZCTPPPNMiec05d9TbXD2LDRtqjSVc3aGxETli71BpMYqjaAf5emd4NbDQEGIyvg99Xf8FytjiLnZunJ2ewts882gSxdlnDVRrfz50598G/wtAJ4dPRkZN7LE93hDKO3z+0GSBD1ETU2CahP5PVV/YWHKUC+gzCk2caKBTpSfp/QCu52Mvg1QERqw9YLnEkBrZqAgRGUNXDuQjSeUBuyz/zKbv3f+u8oRiYfR6XQs9l/M5SPKOBgjfh1Bwy4NjXLu8iRB0iZICKGayZML7whHRSmdIA1CawYBBS2wH/w2eu9xwFxJgKqx8+nn2XVul/7xp79+ys3sR/duFeowlak0JAkSQqimaVN4+WVl/coVA08D5f08dFsPtp5Ft9t6Kdu9K9/hQBjOldtXuJpVOJ7C1ayrvBP9jknNWF7btBzcEgcP5R73ic0nuHraWONhlJ0kQUIIVU2ZUrgeGWngHs/ez8NzieDeG5zbgedzyi0wSYBM0vL45QQsDeDHMz9KMlQNmVma0eHtDsoDHez9fK+6AZVAkiAhhKpatICBA5X1lBT4+msDn1BrBtcPwrUDkH5cboGZuPiUw4SsCqHjso5sP7td7XDEAwLeCMDCThkPI/6beG6nVW6w36omSdADKj1thhCi3KZOLVyfNav4YOtCPExB/c/+i/t5J/odVWMRxdnUtaHNyDYA5Gblsn9RBWdjMBBJgh5Q6WkzhBDl1ro1PPecsn7hQmGPMSEeRXMvC2rv0Z4v+nyhbjCiRJ3GdkKjVTog7P9yP7l3clWOqJAkQUKIauH+wRI/+QRyctSLRZiOho7ebBu6jX2v7aPXY73UDkeUoG6jujQb2AyAW5dv8fu3v6scUSFJgoQQ1UK7dhCiTBhOYiKsWmWMs0pjWlOjvfex1d6jPduGbiPh3XMENwk22kB8omKKdJefE4cuv3r870kSJISoNu6vDfr4Y8g1WK25fGCaGlc7V9zt3QnwCNDX/EjyYzq8OnrRsKsyWGLaH2mcjj6tckQKSYJUcjf3rnTpFOIBnTtDz57K+unTyrzCQgB4OXqROCZRkh8TVqQ2KKp6DJ4oSZAKzqefx2euDx2XdTT6+BZhYWGEhoYW2bZ+/Xqsra2Jiooy2Hl//PFHOnXqhIODA/Xr12fgwIFF5gQDiI2NpW3btlhZWdGkSRO++eYbg8Ujqq/7a4NmzjTafMLCBFiZWynJz927sGGDsuzZo3ZYooyaPtsU58edAUjcmciRVUe4dOgSlw5dIvVIqioxSRKkgiu3r5B6K5WDFw/qx7dQa7CvZcuWMXToUBYtWsT48eMNco6EhAT69+9Pz549iY+P58cffyQtLY3nn3++SJm+ffsSFBREfHw8Y8eO5bXXXuPHH380SEyi+ureHbp1U9b/+EP5nBPifscS/8vju17g8V0v8OGKEWqHI8pIa6al07ud9I83vrKRpQFLWRqwlMWtFrMrYlcpzzYMc6OfUejlo3zFPXTpECGrQmjv0Z6IoAh6N+5tlKreyMhIwsPDWbNmDQMGDDDYeQ4ePEheXh4zZsxAe2+iqL///e/079+fnJwcLCwsWLx4MY0aNdLXRjVr1oxff/2Vzz//nODgYIPFJqofjUapDerdW3k8Y4YymKK2Kr+yNRoGuTfBqn4VHlQYy928bM64KOtXLmerG4wol5uXHj7fW+y0WAC6f9DdSNFIElTl5sTNYU7cnFLLZOcV/afN0+UBymBfIatCsNBa8MnTnzC+c2HNTGxiLK9sfAWAcYHjGBc4rlJxTpw4kYULF7JlyxaefvrpUssmJSXRvHnzUstMnjyZyZMnl7gvICAArVbL8uXLCQsL4+bNm6xcuZJevXphYaGMJBoXF0evXkW7twYHBzN27NiyvyhRY/TqBR07wr598Pvv8J//QP/+VXiCtoa79SsMz9zWHhdsAbBr0VrdYESZpR5J5ZeIX0otEzstFr9QP9xauhklJkmCqljG3QySM5MrdYyc/Bzm7ZtXJAm6m3tXf9yMuxmVOn50dDSbN29mx44d9CxohVoKDw8P4uPjSy3j7Oz80H2NGjXip59+4qWXXuKNN94gLy+PwMBAtm7dqi+TkpKCm1vRP3o3NzcyMjLIysrCxsbmkXGKmqOgNqhfP+VxRIQymKK0hRUArXw7khZ+S+0wRDnl55StgV9Zy1UFSYKqmKOVI54OnqWWyc7L5srtKw/db6G1YEzHMUW2WZlb6Y/raOVYqRhbtWpFWloa4eHhdOjQAXt7+1LLm5ub06RJkwqfLyUlhddff53hw4czePBgMjMzmTZtGi+88AIxMTHSy0OU6JlnoG1bOHQIDh6E6GhlmxBCVBVJgqpYWW5VHbp0iIClAfrHZhoz8nR5pbYJ6uHbgwvjLlRJjJ6enqxfv56goCBCQkKIjo7GwcHhoeUreztswYIF1KlTh8jISP22b7/9Fm9vb/bt20enTp1wd3cnNbVo74DU1FQcHR2lFqiW0miUOcUK2s9HRECfPlIbJISoOpIEqUiLlnzyadugrVEbRAP4+Piwa9cufSK0bdu2hyZClb0ddvv2bX2D6AJmZsrM3fn3+j8/eHsMICYmhsDAQETt1b8/tGwJR47A3r2wY4fSXqjSNvvCnctg5wv9jlfBAYUQj6K1KFvvhrKWqwrSRf4BxphFvrqMfOrt7U1sbCyXL18mODiYjIyS2xoV3A4rbSktCerbty/79+9n+vTpnD59mkOHDjFixAh8fHxo00aZXXjUqFGcPXuW9957jxMnTrBw4UK+++473n33XYO8dmEatNqiM8xHRFTRgfOy7i13quiAwpjOnT3MsBfNGPaiGd+81k7tcEQZubV0o8f0HqWW6TG9h9EaRYMkQcUYYxb56jTyqZeXF7GxsaSlpZWaCFVGz549Wb16NZs2baJNmzaEhIRgZWXFtm3b9Le6GjVqxA8//EBMTAz+/v5ERUWxbNky6R4vGDgQ/PyU9V9+URZRu12/e4OVT+az8sl89lmlqR2OKIfuH3R/aCLUY3oPo3aPB7kdphorcytVzlvSKMyenp6cOnXKoOcdNGgQgwYNKrVMjx49OHz4sEHjEKbHzAymTIFXX1UeR0RATIy6MQmVmd/30eX48PaMonrq/kF3/EL9ivQC01pojVoDVECSICFEtTdoEHz4Ifz5J2zfDnFxIM3FarH72y926apeHKLC1Eh4SiK3w4QQ1Z65Odzf+bDK2gYhkxgLUZtJEiSEMAmvvgo+Psp6dDQcOFCZo0k/eyGEJEFCCBNhYQHvv1/4eMYM9WIR1YdOavNEJUgSJIQwGWFh4OWlrG/erMwrJmofTdZ9QxscPapeIMLkSRIkhDAZVlbw3nuFj6U2qJbKvm8S6vNJ6sUhTJ4kQUIIk/Laa1Aw1+769XC8IgM+d/wHdNsI7RdXaWxCCNMiSZAQwqTY2MCECcq6TgczZ1bgIJ7PgPcA8JDBOE2SvV3hetdu6sUhTJ4kQUIIkzNqFNSrp6yvWQOnT6sbjzAys/uGuCtl8mchHkWSILXl50FqLCT+S/mZn2fQ04WFhREaGlpk2/r167G2tiYqKsog50xMTESj0RRb9u7dW6TcunXr8PPzw9rampYtWxabUFWIAnZ2MH68sp6fDx9/rG48Qj06nfQOExUnSZCazm+E731hRxDsGaL8/N5X2W4ky5YtY+jQoSxatIjxBZ8qBrJ9+3YuXbqkXwICAvT79uzZw+DBgxk5ciSHDx8mNDSU0NBQjkrPD/EQo0dD3brK+sqVkJBQjien7YPLuyHtvwaJTRiWmvMtippFkiC1nN8Iu1+A2xeKbr+drGw3QiIUGRnJ22+/zZo1axgxYoTBz+fi4oK7u7t+sbCw0O+bN28eISEhTJgwgWbNmhEREUHbtm358ssvDR6XME0ODjB2rLKelwefflqOJ+8eANufgl9fNERowtBycwrXr11TLw5h8iQJUkN+HhwcQ8lD9t/bdnCsQW+NTZw4kYiICLZs2cKAAQNKLZuUlIS9vX2py8dluB/x3HPP4erqSteuXfn++++L7IuLi6NXr15FtgUHBxMXF1f+FydqjXfeAUdHZX35cjh/Xt14hJHczipc37dPvTiEyZMJVKvaH3PgxJzSy+Tdhey0Ugro4PZ52OgOZiXMNu83DpqNq3CI0dHRbN68mR07dtCzZ89Hlvfw8CA+Pr7UMs7Ozg/dZ29vT1RUFF26dEGr1bJhwwZCQ0PZtGkTzz33HAApKSm4uRWdUM/NzY2UlJRHvyBRazk5wdtvKz3EcnJg1iyQykMhRFlJEvSABQsWsGDBAvLyKlgLk5MBWclVE8zDEqWcjEodtlWrVqSlpREeHk6HDh2wt7cvtby5uTlNmjSp8Pnq1avHuHGFSVv79u25ePEis2fP1idBQlTU2LEwdy7cugXLlsGUKdCggdpRCYOytCxcf+wx9eIQJk9uhz1g9OjRHD9+nP3791fsABaOYONZ+mJZr2zHsqxX8vMtHCsW2z2enp7ExsaSnJxMSEgImZmZpZavqtth9+vYsSNnzpzRP3Z3dyc1NbVImdTUVNzd3ct1XFH71KunNJIGuHsXZs8uz7OlZ5EpesLTn1NvneLUW6eYPmqt2uEIEyY1QVWtWRluVeXnKb3AbidT8puwBmy94LkE0JoZIEjw8fFh165dBAUFERISwrZt23B4yHgblb0dVpL4+Hga3Pd1PTAwkB07djC2oKUrEBMTQ2BgYLmOK2qn8eNh/nzIyoLFi2HSJHB1Le0Z0rvIlFmZW/G4y+NqhyFqAEmC1KA1g4B5Si8wNBRNhO69OQfMNVgCVMDb25vY2FiCgoIIDg5m27ZtODoWr2Wq7O2wFStWYGlpSZs2bQDYuHEj//jHP1i2bJm+zJgxY+jevTtRUVH07duXNWvWcODAAZYuXVrh84raw9UV3nhDuS2WlQVz5pSzt5gQolaS22Fq8X4euq0HW8+i2229lO3ezxslDC8vL2JjY0lLSyM4OJiMjMq1N3qYiIgIAgIC6NixI5s3b2bt2rVFuuV37tyZ1atXs3TpUvz9/Vm/fj2bNm3iySefNEg8ouaZMEGZYBVgwQK4elXdeIQQ1Z9GJ8NtligjI4M6deqQnp5erHbkzp07JCQk0KhRI6ytrSt3ovw8uLIbsi6BTQOo383gNUC1RZX+noRJGD0aFi5U1j/4AKZPf0jBf3tC1kWw9YZQmYXc1Fy7nMjaV9oC0Mw3gB5LY1SOSFQnpX1+P0hqgtSmNQO3HuA7WPkpCZAQFTZxIhSMwTlvHty4oWo4wkAuZl7ib12u87cu11ll/ofa4QgTJkmQEKLGaNgQwsKU9YwMpbF0iZ49DS/dgn4njRWaqEr3T5thJbW8ouKkYbQQokaZNAn+8Q9lKo25c5VxhIp1fDS3VSEyUVU8GzzBitAVADRxrninDSGkJkgIUaM89hi88oqyfu1aYRshUXPUtanLMP9hDPMfRmfvzmqHI0yYJEFCiBpn8mTQ3nt3i4pSRpMWQogHSRIkhKhxmjaFl19W1q9cgWLDTR2fDf+bCscjjR6bEKL6kCRICFEjTZlSuB4ZqQyiqHfqCzg2E05+YfS4ROXduXmD+KmvET/1NZK++kztcIQJkyRICFEjtWgBAwcq6ykp8PXX6sYjqs7ZK6doY/E1bSy+5qPDc9UOR5gwSYKEEDXW1KmF67NmKROsCiFEAUmChBA1VuvW8NxzyvqFC7BiharhiKpy/wjw7dupF4cweZIE1TJhYWGEhoYW2bZ+/Xqsra2JiooyyDljY2Pp378/DRo0wM7OjtatW7Nq1api5datW4efnx/W1ta0bNmSrVu3GiQeUbt88EHh+iefQE7O/Xtl1iCTZH7fEHfOLurFIUyeJEG13LJlyxg6dCiLFi1i/PjxBjnHnj17aNWqFRs2bOD3339nxIgRDBs2jC1bthQpM3jwYEaOHMnhw4cJDQ0lNDSUo0ePGiQmUXu0awchIcp6YiIo+bemlGcIIWoLSYKqgQsXYOdO5acxRUZG8vbbb7NmzZoiM7pXtcmTJxMREUHnzp1p3LgxY8aMISQkhI0bN+rLzJs3j5CQECZMmECzZs2IiIigbdu2fPnllwaLS9Qe99cGffwx5ObJHH01hU5q80QlSBKksq+/Bh8f6NlT+WmsHiwTJ04kIiKCLVu2MGDAgFLLJiUlYW9vX+ry8ccfl+v86enpODs76x/HxcXRq1evImWCg4OJi4sr13GFKEnnzsr/GMDp07D212fVDUhUiib/vsTn1k31AhEmT+YOq0Lt2ildccsqL69o+fx8eO01pUeLWTm+qLq7w4EDZS8fHR3N5s2b2bFjBz0LPhlK4eHhQXx8fKll7k9oHuW7775j//79LFmyRL8tJSUFNze3IuXc3NxIKc8FFaIU06bBzz8r6zPXv83ggC/lW6CpunPfoE+//gpD1AtFmDZJgqpQSgokJ1fNcQypVatWpKWlER4eTocOHbC3ty+1vLm5OU2aVM0khTt37mTEiBF89dVXtGjRokqOKURZdO8O3brB7t3wx4XH2XByCi/+RdqcCVGbSRJUhdzdy1f+wZqg+49T3pqg8vD09GT9+vUEBQUREhJCdHQ0DsWm2S6UlJRE8+bNSz3m5MmTmTx5cqlldu3axbPPPsvnn3/OsGHDiuxzd3cnNTW1yLbU1FTcy/vihCjFBx9A797K+qTVEXR8HRqqG5KoCLP7Pro8vdSLQ5g8SYKqUHluSRX4+mt44w0lITIzgyVLYOTIqo/tQT4+PuzatUufCG3btu2hiVBV3A6LjY2lX79+zJo1i//7v/8rtj8wMJAdO3YwduxY/baYmBgCAwMf+VqEKKtevaBRI0hIgLNnwdcXvvrKOP9zogpZWRWuP/mkenEIkydJkMpGjoTgYDhzBpo0AS8jfqnx9vYmNjaWoKAggoOD2bZtG46OjsXKVfZ22M6dO+nXrx9jxoxh4MCB+nY+lpaW+uRpzJgxdO/enaioKPr27cuaNWs4cOAAS4vNfClExSUnK93kC+h0ypeQ4GDj/u+JqiO9w0RlSLvAByxYsIDmzZvTvn17o53Tywt69FDnTdjLy4vY2FjS0tIIDg4mIyOjys+xYsUKbt++zSeffEKDBg30y/PPP68v07lzZ1avXs3SpUvx9/dn/fr1bNq0iSflW56oQqdPK4nP/fLylC8hwnRoNDLOk6gaGp3uwbcEAZCRkUGdOnVIT08vVjty584dEhISaNSoEdb3D98uqhX5PYkHXbigDEWRn1+4zcxMqR2SmiDTcSLtBM0WNAMgrHUYy/svVzkiUZ2U9vn9IKkJEkLUGl5eoNxhLfjup2PJEkmATM6dO4XrMpaYqARJgoQQtcrIkeBklw6Ar+s5aRRtiu6vykuv+lv4ovaQJEgIUetotUpNkIVZnsqRiErTSvsgUXHSO0wIUWvpdPIBaoqcnD0YFTAKgE5enVSORpgySYKEELWORrpVmzR3e3cW9VukdhiiBpDbYZUgHeuqN/n9CCGEKI0kQRVgYWEBwO3bt1WORJQmOzsbALPyzEEihBCi1pDbYRVgZmaGk5MTly9fBsDW1lYG76pm8vPzuXLlCra2tpiby5+5EDVKbi58+aWy7uUFL7ygbjzCZMmnQwUVTOxZkAiJ6ker1dKwYUNJUIWoYU6n/kGrtHcBGHqiAcskCRIVJElQBWk0Gho0aICrqys5OTlqhyNKYGlpiVYrd3xFCcxsANBZlj7xr6iedOi4o7RKIEcjbf9ExUkSVElmZmbS5kQIE6MxV5IgLJxUjUNUjJW1Hf5WPgB4t++qcjTClEkSJIQQwqT4uDQmflKi2mGIGkDuFQghhBCiVpIkSAhRC92be0on02YIUZvJ7bCHKBhoLyNDJucToqbJv3sNcCYv8xwZGT5qhyPKS6eD69eVdTMzqFNH3XhEtVLwuV2WAXMlCXqIzMxMALy9vVWORAhhKIlX5PNTiJoqMzOTOo/4B9foZG6BEuXn53Px4kUcHByqfJyZjIwMvL29OX/+PI6OjlV6bFFIrrNxyHU2HrnWxiHX2TgMdZ11Oh2ZmZl4eHg8cpgUqQl6CK1Wi5eXl0HP4ejoKP9gRiDX2TjkOhuPXGvjkOtsHIa4zo+qASogDaOFEEIIUStJEiSEEEKIWkmSIBVYWVkRHh6OlZWV2qHUaHKdjUOus/HItTYOuc7GUR2uszSMFkIIIUStJDVBQgghhKiVJAkSQgghRK0kSZAQQgghaiVJgoQQQghRK0kSZGQzZ86kc+fO2Nra4uTkVGKZpKQk+vbti62tLa6urkyYMIHc3FzjBlrDnDp1iv79+1OvXj0cHR3p2rUrO3fuVDusGuuHH36gY8eO2NjYULduXUJDQ9UOqca6e/curVu3RqPREB8fr3Y4NUpiYiIjR46kUaNG2NjY0LhxY8LDw8nOzlY7NJO3YMECfH19sba2pmPHjvz3v/9VJQ5JgowsOzubF198kTfffLPE/Xl5efTt25fs7Gz27NnDihUr+Oabb5g2bZqRI61Z+vXrR25uLj///DMHDx7E39+ffv36kZKSonZoNc6GDRt49dVXGTFiBP/73//47bffGDJkiNph1VjvvfceHh4eaodRI504cYL8/HyWLFnCsWPH+Pzzz1m8eDGTJ09WOzSTtnbtWsaNG0d4eDiHDh3C39+f4OBgLl++bPxgdEIVy5cv19WpU6fY9q1bt+q0Wq0uJSVFv23RokU6R0dH3d27d40YYc1x5coVHaD75Zdf9NsyMjJ0gC4mJkbFyGqenJwcnaenp27ZsmVqh1IrbN26Vefn56c7duyYDtAdPnxY7ZBqvMjISF2jRo3UDsOkdejQQTd69Gj947y8PJ2Hh4fuk08+MXosUhNUzcTFxdGyZUvc3Nz024KDg8nIyODYsWMqRma6XFxceOKJJ/jnP//JrVu3yM3NZcmSJbi6uhIQEKB2eDXKoUOHSE5ORqvV0qZNGxo0aECfPn04evSo2qHVOKmpqbz++uusXLkSW1tbtcOpNdLT03F2dlY7DJOVnZ3NwYMH6dWrl36bVqulV69exMXFGT0eSYKqmZSUlCIJEKB/LLduKkaj0bB9+3YOHz6Mg4MD1tbWzJkzh23btlG3bl21w6tRzp49C8CHH37I1KlT2bJlC3Xr1qVHjx5cu3ZN5ehqDp1OR1hYGKNGjaJdu3Zqh1NrnDlzhvnz5/PGG2+oHYrJSktLIy8vr8TPOTU+4yQJqgKTJk1Co9GUupw4cULtMGucsl53nU7H6NGjcXV1Zffu3fz3v/8lNDSUZ599lkuXLqn9MkxCWa91fn4+AFOmTGHgwIEEBASwfPlyNBoN69atU/lVVH9lvc7z588nMzOT999/X+2QTVJF3rOTk5MJCQnhxRdf5PXXX1cpclHVzNUOoCYYP348YWFhpZZ57LHHynQsd3f3Yq3kU1NT9ftEobJe959//pktW7Zw/fp1HB0dAVi4cCExMTGsWLGCSZMmGSFa01bWa12QVDZv3ly/3crKiscee4ykpCRDhlgjlOdvOi4urticS+3atWPo0KGsWLHCgFGavvK+Z1+8eJGgoCA6d+7M0qVLDRxdzVavXj3MzMz0n2sFUlNTVfmMkySoCtSvX5/69etXybECAwOZOXMmly9fxtXVFYCYmBgcHR2LfLCIsl/327dvA8p95/tptVp9zYUoXVmvdUBAAFZWVpw8eZKuXbsCkJOTQ2JiIj4+PoYO0+SV9Tp/8cUXzJgxQ//44sWLBAcHs3btWjp27GjIEGuE8rxnJycnExQUpK/VfPB9RJSPpaUlAQEB7NixQz90Rn5+Pjt27OCtt94yejySBBlZUlIS165dIykpiby8PP24Hk2aNMHe3p7evXvTvHlzXn31VSIjI0lJSWHq1KmMHj1aZjSuoMDAQOrWrcvw4cOZNm0aNjY2fPXVVyQkJNC3b1+1w6tRHB0dGTVqFOHh4Xh7e+Pj48Ps2bMBePHFF1WOruZo2LBhkcf29vYANG7cGC8vLzVCqpGSk5Pp0aMHPj4+fPbZZ1y5ckW/T2rmK27cuHEMHz6cdu3a0aFDB+bOncutW7cYMWKE8YMxen+0Wm748OE6oNiyc+dOfZnExERdnz59dDY2Nrp69erpxo8fr8vJyVEv6Bpg//79ut69e+ucnZ11Dg4Ouk6dOum2bt2qdlg1UnZ2tm78+PE6V1dXnYODg65Xr166o0ePqh1WjZaQkCBd5A1g+fLlJb5fy0dn5c2fP1/XsGFDnaWlpa5Dhw66vXv3qhKHRqfT6YyfegkhhBBCqEtubgohhBCiVpIkSAghhBC1kiRBQgghhKiVJAkSQgghRK0kSZAQQgghaiVJgoQQQghRK0kSJIQQQohaSZIgIWqwFi1asGXLFqOcq0ePHsydO9co56qoPn36sHDhQrXDKJPK/u727t1Lp06dHrp/06ZN+Pr6lvl4iYmJ+Pn5cffu3QrHJER1I0mQECbs5MmTPPvss9SrVw9HR0f8/PyYNWuWfv+xY8fo16+fihEqYmNjcXJyqtQxwsLC0Gg0xRIDJycnYmNjy3SM6Oho/va3v1UqjpL4+vpiY2ODvb099erVo2/fvpw5c6bMzy8pgazs727ixIlMmTKlXDFYWVlhb2+Pg4MDLVq0YN26dfr9vr6+BAYGsnjx4grHJER1I0mQECasb9+++Pv7k5SUxPXr19mwYUOR2a9rGhcXFyZPnlwtJ77917/+xc2bN0lMTMTJyYm//vWvqsVy9OhRTp48yTPPPFOu582aNYubN2+SkZFBZGQkQ4cO5dy5c/r9w4cP58svv6zqcIVQjSRBQpiotLQ0/vzzT9544w1sbW0xMzOjRYsWRSYq9fX1ZdOmTfrH8+fPx9vbGxcXF6ZOnUrr1q355ptvAPjmm29o3bo1ERERuLq64ubmVqR24vDhw3Tt2hVnZ2fq16/P4MGDuXr16iPjvHr1Kn369CE9PR17e3vs7e3ZvXs3AN9++y3NmjXDycmJrl27cujQoVKP9fLLL3P79m2+/fbbh5Yp7Zj317hcu3aNAQMGULduXZycnAgICNB/4Ofk5DBt2jQaN26Mi4sLzz33HBcvXnzkawVlMtMhQ4Zw8OBB/bbSrt348ePZvXs3EydOxN7enj59+gDFf3fluVbff/89Tz31FGZmZvptFy5coHfv3jg6OhIQEMDx48cf+nyNRkPfvn1xcnLi5MmT+u1dunThwoUL/PHHH2W6FkJUd5IECWGiXFxceOKJJxgxYgTfffddkW/sJdmxYwfTpk1jw4YNXLp0Ca1Wy7Fjx4qUOXbsGLa2tiQnJ7N27VomTJjAn3/+CYBWq+XTTz8lNTWVo0ePkpyczKRJk8oUZ3R0NHXq1OHmzZvcvHmTbt268csvv/Dmm2+yZMkSrly5wgsvvEBISAjp6ekPPZaFhQURERFMmzatxLYp5TnmZ599Rm5uLsnJyVy9epWvv/4aBwcHAKZMmcJvv/3Gr7/+yqVLl2jatCmDBg165GsFSE9PZ+XKlTRt2lS/rbRrFxUVRbdu3fS1MNHR0ZV6XQDx8fH4+fkV2TZkyBAaNGhASkoKq1at4quvvnroa8jPz2fz5s1kZWXRunVr/XYLCwuaNGlCfHx8ma6FENWdJEFCmCiNRkNsbCz+/v589NFHPPbYYzRv3pyYmJgSy69evZqhQ4fSoUMHLC0t+eCDD7CzsytSpl69eowfPx4LCwt69OiBr6+v/gPP39+frl27YmFhgZubG+PGjStzW5ySrFy5kldeeYWnnnoKCwsLxo4dS926dfnhhx9Kfd6gQYNwdnZm0aJFlTqmhYUFV69e5fTp05iZmdG6dWucnZ3R6XQsXLiQOXPm0KBBAywtLZkxYwa//fYb58+ff2hcQ4cOpU6dOjg5OXH48OEitVWVvXblvVbXr1/H0dFR//j8+fPs3r2b2bNnY2tri5+fH6NGjSr2vPfffx8nJyfs7Ox4/vnnmTp1Kq6urkXKODo6cv369TLHLkR1JkmQECbM3d2dqKgojh07xpUrV+jTpw8DBgzg2rVrxcpevHgRb29v/WMLCwsaNGhQpIybm1uRx3Z2dmRmZgJw5swZ+vfvj4eHB46OjrzyyiukpaVVOPYLFy4U653UqFEjLly4UOrzNBoNn376KTNnztTHVpFjTpgwgW7duvHSSy/h7u7OmDFjyMrKIi0tjVu3bvHUU0/h5OSEk5MT7u7uWFpalpoErVq1ivT0dE6cOEFubq6+Bg0qf+3Ke63q1q1LRkaG/vHFixextrYuktD4+PgUe94nn3zCjRs3yMrK4uTJk6xYsYIlS5YUKZORkUHdunXLHLsQ1ZkkQULUEM7Oznz44YfcunWLhISEYvs9PDyKfIjn5uZy6dKlMh9/1KhReHp6cvz4cTIyMvj222/R6XRleq5WW/ytxsvLi8TExCLbEhMT8fLyeuTxevfujb+/P7Nnz67wMe3t7Zk1axYnT54kLi6OHTt2sHDhQlxcXLC1tWXfvn3cuHFDv2RlZdG5c+dHxvbEE0/w2Wef8eabb5KVlQU8+tqVdH0q+roAWrduzYkTJ/SPPTw8uHPnDpcvX9ZvS0pKKvWcTZo04ZlnninSGy8nJ4czZ84UuUUmhCmTJEgIE3X9+nWmTp3KiRMnyMvL4/bt28yZMwdnZ+di7UEABg8ezOrVqzlw4AA5OTnMmDGDW7dulfl8GRkZODg44OjoyPnz54slIKVxc3MjMzOzyIfwK6+8wqpVq/jtt9/Izc1l/vz5XL16tcw9mj799FPmzp3LnTt3KnTMLVu2cOrUKfLz83F0dMTCwgJzc3O0Wi2jRo1i/Pjx+qTx6tWrrF27tsyvNzQ0FBcXFxYsWAA8+tq5ubkVqTl6UHmvVb9+/di9ezd5eXkAeHt706VLFyZNmqSv5XmwhudBiYmJbN26lZYtW+q37dmzB09PT5o1a1am6yBEdSdJkBAmytLSkuTkZJ555hnq1KlDw4YN+e2334iOji7W1gegV69ehIeHExoairu7O7m5uTRt2hQrK6synW/OnDls2bIFR0dH+vfvz8CBA8sc6xNPPMHIkSNp3rw5Tk5O/Prrr3Tv3p358+czcuRIXFxcWLNmDdHR0WUeT6hdu3b06dOnSAPp8hzzzJkzhISE4ODgQPPmzQkMDOTNN98ElNtCgYGB9OzZEwcHBwICAvjpp5/K/Ho1Gg3vv/8+kZGR3Lp165HXbuzYsWzfvh0nJ6cSxwYq77Vq1aoVjz/+eJFG1qtXr+b8+fO4uroyZMiQErvwF/RQs7e3p2vXrvTq1Ytp06bp9//zn/9k9OjRZb4OQlR3Gl1Z67OFEDVKdnY2Li4ubNu2jS5duqgdjqhicXFxvPvuu+zdu7dKjnfu3DlCQkKIj48vc+IsRHUnSZAQtcjGjRvp06cP+fn5TJ06lX//+9+cOnUKS0tLtUMTQgijk9thQtQiK1eupEGDBnh4eHDo0CG+//57SYCEELWW1AQJIYQQolaSmiAhhBBC1EqSBAkhhBCiVpIkSAghhBC1kiRBQgghhKiVJAkSQgghRK0kSZAQQgghaiVJgoQQQghRK0kSJIQQQohaSZIgIYQQQtRK/w8OGbaqqRwQewAAAABJRU5ErkJggg==", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "fig, ax = plt.subplots()\n", "\n", "color_tuple = ['blue', 'orange', 'green', 'red', 'purple', 'brown', 'pink', 'gray', 'olive', 'cyan', 'black']\n", "markcolor_tuple = ['gold', 'navy', 'crimson', 'yellow', 'line', 'springgreen', 'black', 'aqua', 'royalblue', 'red', 'green']\n", "linestyle_tuple = ['-', '--', '-.', ':', 'solid', 'dashed', 'dashdot', 'dotted']\n", "marker_tuple = [\".\", \"o\", \">\", \"2\", \"8\", \"s\", \"p\", \"*\", \"P\", \"X\", \"D\"]\n", "\n", "kIndex = K.size-1\n", "for k in np.flip(K):\n", " ax.semilogy(SNRdB, BER[kIndex], color=color_tuple[kIndex%len(color_tuple)], \n", " linestyle=linestyle_tuple[kIndex%len(linestyle_tuple)], lw = 2,\n", " marker=marker_tuple[kIndex%len(marker_tuple)], markersize = 6, label=\"K = \"+str(k))\n", " \n", " kIndex = kIndex - 1\n", "\n", "ax.legend(loc=\"lower left\")\n", "ax.set_xlabel(\"Signal to Noise Ratio (dB)\", fontsize = 9)\n", "ax.set_ylabel(\"Bit Error Rate\", fontsize = 9)\n", "ax.set_title(\"[Polar Codes]: BER vs SNR(dB) for different block-lengths\", fontsize = 12)\n", "plt.rcParams.update({'font.size': 9})\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "8e3d0719", "metadata": {}, "source": [ "## Performance Evaluations: Averaging over a 100 dataset of 100 points each" ] }, { "cell_type": "code", "execution_count": 8, "id": "962dac92", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "BER = np.zeros((K.size, SNR.size))\n", "for i in range(100):\n", " ds = np.load(\"Databases/Polar_BERvsSNR\"+str(i)+\".npz\")\n", " BER = BER + ds['BER']\n", " \n", "BER = BER/100\n", "\n", "fig, ax = plt.subplots()\n", "\n", "color_tuple = ['blue', 'orange', 'green', 'red', 'purple', 'brown', 'pink', 'gray', 'olive', 'cyan', 'black']\n", "markcolor_tuple = ['gold', 'navy', 'crimson', 'yellow', 'line', 'springgreen', 'black', 'aqua', 'royalblue', 'red', 'green']\n", "linestyle_tuple = ['-', '--', '-.', ':', 'solid', 'dashed', 'dashdot', 'dotted']\n", "marker_tuple = [\".\", \"o\", \">\", \"2\", \"8\", \"s\", \"p\", \"*\", \"P\", \"X\", \"D\"]\n", "\n", "kIndex = K.size-1\n", "for k in np.flip(K):\n", " ax.semilogy(SNRdB, BER[kIndex], color=color_tuple[kIndex%len(color_tuple)], \n", " linestyle=linestyle_tuple[kIndex%len(linestyle_tuple)], lw = 2,\n", " marker=marker_tuple[kIndex%len(marker_tuple)], markersize = 6, label=\"K = \"+str(k))\n", " \n", " kIndex = kIndex - 1\n", "\n", "ax.legend(loc=\"lower left\")\n", "ax.set_xlabel(\"Signal to Noise Ratio (dB)\", fontsize = 9)\n", "ax.set_ylabel(\"Bit Error Rate\", fontsize = 9)\n", "ax.set_title(\"[Polar Codes]: BER vs SNR(dB) for different block-lengths\", fontsize = 12)\n", "plt.rcParams.update({'font.size': 9})\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "id": "3ef5d530", "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": "3.11.0" }, "widgets": { "application/vnd.jupyter.widget-state+json": { "state": {}, "version_major": 2, "version_minor": 0 } } }, "nbformat": 4, "nbformat_minor": 5 }