{ "cells": [ { "cell_type": "code", "execution_count": 1, "id": "c7b7e69b", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Current pyAMARES version is 0.3.0\n", "Author: Jia Xu, MR Research Facility, University of Iowa\n" ] } ], "source": [ "import pyAMARES" ] }, { "cell_type": "markdown", "id": "13483b35", "metadata": {}, "source": [ "# Fitting MRS with unknown species, using HSVDinitializer\n", "**[Try this tutorial on Google Colab!](https://colab.research.google.com/drive/15zKm0rqnVheYwk-5D2orwNalTDu5a6zg)**\n", "\n", "- First, simulate a spectrum with two peaks" ] }, { "cell_type": "code", "execution_count": 2, "id": "9f4a9fc7", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Warning, fid is None!\n", "Checking comment lines in the prior knowledge file\n", "Comment: in line 0 # An example of singlet,,\n", "\n" ] }, { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Printing the Prior Knowledge File /home/xujia/gitlab/pyAMARES/docs/source/notebooks/attachment/singlet.csv\n" ] }, { "data": { "text/html": [ "
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Peak_APeak_B
Index
Initial ValuesNaNNaN
amplitude108
chemicalshift5-3
linewidth10050
phase00
g00
BoundsNaNNaN
amplitude(0,(0,
chemicalshiftNaNNaN
linewidth(0,(0,
phase(-180, 180)(-180, 180)
g(0,1)(0,1)
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" ], "text/plain": [ " Peak_A Peak_B\n", "Index \n", "Initial Values NaN NaN\n", "amplitude 10 8\n", "chemicalshift 5 -3\n", "linewidth 100 50\n", "phase 0 0\n", "g 0 0\n", "Bounds NaN NaN\n", "amplitude (0, (0, \n", "chemicalshift NaN NaN\n", "linewidth (0, (0,\n", "phase (-180, 180) (-180, 180)\n", "g (0,1) (0,1)" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "priorknowledge = pyAMARES.initialize_FID(\n", " fid=None,\n", " priorknowledgefile=\"/home/xujia/gitlab/pyAMARES/docs/source/notebooks/attachment/singlet.csv\",\n", " preview=True,\n", ")" ] }, { "cell_type": "markdown", "id": "13bc5a78", "metadata": {}, "source": [ "- **Simulate an MRS Spectra Using Scanner Parameters**:\n", " - **MHz (Field Strength)**: 300 MHz. \n", " - **sw (Spectral Width)**: 5000.0 Hz.\n", " - **Deadtime**: 100 microseconds (100e-6 seconds).\n", " - **Number of Points (fid_len)**: 1024\n", " - **SNR (Signal to Noise Ratio, snr_target)**: 40." ] }, { "cell_type": "code", "execution_count": 3, "id": "6822ca5d", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fid = pyAMARES.kernel.fid.simulate_fid(\n", " priorknowledge.initialParams,\n", " MHz=300.0,\n", " sw=5000.0,\n", " deadtime=100e-6,\n", " fid_len=1024,\n", " snr_target=40,\n", " preview=True,\n", ")" ] }, { "cell_type": "code", "execution_count": 4, "id": "d397198f", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "FIDobj = pyAMARES.initialize_FID(\n", " fid=fid,\n", " MHz=300.0,\n", " sw=5000.0,\n", " deadtime=100e-6,\n", " priorknowledgefile=None,\n", " preview=True,\n", " normalize_fid=False,\n", ")" ] }, { "cell_type": "code", "execution_count": 5, "id": "6d29d064", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Norm of residual= 50.087\n", "Norm of the data=1848.810\n", "resNormSq / dataNormSq = 0.027\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "params_hsvd = pyAMARES.HSVDinitializer(\n", " fid_parameters=FIDobj, num_of_component=2, fitting_parameters=None, preview=True\n", ")" ] }, { "cell_type": "code", "execution_count": 6, "id": "c40d06e7", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
name value initial value min max vary
ak_1 8.00411490 8.004114899421369 -inf inf True
freq_1 -359.992953 -359.9929526890721 -inf inf True
dk_1 159.839755 159.83975493389474 0.00000000 inf True
phi_1 1.0944e-04 0.00010944089342795904 -3.14159265 3.14159265 True
g_1 0.00000000 0.0 -1.00000000 1.00000000 False
ak_2 9.97848999 9.97848999424057 -inf inf True
freq_2 600.082463 600.0824626203446 -inf inf True
dk_2 316.144438 316.14443800037355 0.00000000 inf True
phi_2 -0.00266153 -0.0026615333065376457 -3.14159265 3.14159265 True
g_2 0.00000000 0.0 -1.00000000 1.00000000 False
" ], "text/plain": [ "Parameters([('ak_1', ), ('freq_1', ), ('dk_1', ), ('phi_1', ), ('g_1', ), ('ak_2', ), ('freq_2', ), ('dk_2', ), ('phi_2', ), ('g_2', )])" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "params_hsvd" ] }, { "cell_type": "code", "execution_count": 7, "id": "849d3bf8", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "A copy of the input fid_parameters will be returned because inplace=False\n", "Autogenerated tol is 4.080e-06\n", "Fitting with method=least_squares took 0.025023 seconds\n", "pm_index2=[]\n", "No peaklist, probably it is from an HSVD initialized object\n", "There is no result_sum generated, probably there is only 1 peak\n", "Norm of residual= 50.086\n", "Norm of the data=1848.810\n", "resNormSq / dataNormSq = 0.027\n", "plotParameters.xlim=None\n", "xlim=None\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/home/xujia/gitlab/pyAMARES/pyAMARES/util/crlb.py:171: RuntimeWarning: Warning: pm_index are all NaNs, return None so that P matrix is a identity matrix!\n", " warnings.warn(\"Warning: pm_index are all NaNs, return None so that P matrix is a identity matrix!\" , RuntimeWarning)\n" ] }, { "data": { "image/png": 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yC48++uhhjzR0NCRAFkKICM/dd8PDD2OZNg0OMuqCEOIE8d3vwhinmR+z6mr43e8Oukq0xOJIvPHGG7z44ovGtO5er5empiZWrVpldPKtqqqiqqpqxOf/5S9/Ydu2bbz11lvccccdvPnmm8YsnNdccw0mk4nKykqmT5/Ozp07eeONN9i6dasxOdDg4CC7d+/mrbfe4vrrrycpKQkIB9+jGW020AOdd955pKamkpqaSnp6ujFc58KFC9m6deuYtjFeJEAWQogIX6QGUI+ZFEMIIY4nuq7z7LPPGqURscY6UsPChQtZuHAhX/7yl6moqDAC5AOfr5RC13XuvvtuLrroorjHXnvttTHvLzk52fjZYrGgaRrAsGHXYkfaMZlMxu8mk+ljL32TAFkIISK0xkYAQiPU7gkhTkCHyPQeC6mpqTgcjlF/v+iii7j77ru5++67UUqxadMmFi9ezNlnn82KFSs477zz2L59+4gZV6fTyfr1642OeZs3b2batGnG48888wzXXXcd9fX17Nu3j9mzZ3PRRRfxpz/9iU9+8pNYrVZ27dpFcXExF154IT//+c+59tpr40osDmzvgcrLy9mwYQOnnHKKkZU+HkknPSGEiIgOehk6yMFdCCEmUlVVFRaLhUWLFnHXXXdx3nnnsWPHDqOT3k9/+lMCgQBVVVUsWLCAn/70pwD867/+K06nk6qqKn7zm99wyimnDNu2ruv85je/Yfbs2VRXV3Prrbca2WOA2bNnc84553DxxRdz7733kpCQwNe//nXmzZvHSSedxIIFC/jmN79JMBjkU5/6FJdddhlLly6lurraKPmIdvaLdtI70H/+53/ypz/9iU984hP09PRMzJs4DmQcZCGEiNian0+gq4uc73yHaXfffaybI4SYAMfDOMjHo+XLl3PJJZfwuc997lg3ZcLIOMhCCHEEtEi2I+RyHeOWCCGEOJakBlkIISK0SIcRzek8xi0RQoiPV2yphZAMshBChIVC6IFA+EfJIAshxJQmAbIQQhCfNQ5JBlkIIaY0CZCFEALQYkaukAyyEEJMbRIgCyEE+wNkBWhu97FtjBBCiGNKAmQhhAC0SNbYbDajS4AshJhALS0tXH755VRWVjJjxgxuvvlm/H7/iOu2tbWNaei1T3/60wwMDBxRe2677TZjHONYdXV1nHvuuVRXVzN37lxuuOGGI9r+aFauXMkHkRlMjzcSIAshBKBH6o5NWVkSIAshJoyu61x55ZVcccUV7N69m127duF0Ovnxj388bN1gMEhRUdGYZpx75ZVXyMjIGNe23nTTTdxyyy1s3ryZ2tpa/u3f/m1ct3+wAPnjnlr6QBIgCyEEMRnk9HRjNAshhBhvb7/9NgkJCVx//fVA+K7VXXfdxYMPPojb7ebhhx/m6quv5tJLL+XCCy+koaGBBQsWAOB2u7nmmmuoqqri85//PKeeeirRidbKy8vp6emhoaGBuXPn8o1vfIP58+dz4YUXGjPa/fnPf+bkk09m0aJFXHXVVbgPkQxob2+npKTE+H3hwoVAeEi4yy+/nE996lPMnj2b//qv/zLW+etf/8opp5xCdXU13/zmNwmFQgC89tprnHTSSSxatIjzzz+fhoYG7r33Xu666y6qq6t57733WL58Of/+7//Oeeedx/e///1hme0FCxbQ0NBAQ0MDc+bM4etf/zoLFizgS1/6Em+99RZnnHEGlZWVrF279mj/TBIgCyEE7B/Fwpyejj7KrU4hhDhaNTU1LFmyJG5ZWloaZWVl7NmzB4APP/yQRx55hLfffjtuvT/+8Y9kZmaydetWfvrTn7Jhw4YR97F7925uvPFGampqyMjI4NlnnwXgyiuvZN26dWzZsoW5c+fywAMPHLStt9xyC5/85Ce5+OKLueuuu+JKONauXcuKFSvYvHkzzzzzDOvXr6e2tpannnqK999/n82bN2M2m1mxYgXd3d184xvf4Nlnn2XLli0888wzlJeX861vfcvIUJ911lkA7Nq1i7feeovf/va3B23bnj17uPnmm9m6dSs7d+7k8ccfZ/Xq1dxxxx3893//90GfOxYyUYgQQrC/Y545PR0CAXRdRyl1jFslhJhIzc3NRnZ1vCQmJlJaWjrq46MdW2KXL1u2jKysrGHrrF69mptvvhkIZ1OrqqpG3EdFRQXV1dUALFmyhIaGBgC2b9/OT37yEwYGBnA6nVx00UUHfS3XX389F110Ea+99hovvPAC9913H1u2bDHamJ2dDYQD79WrV2OxWNiwYQMnn3wyAB6Ph7y8PNasWcPZZ59NRUUFwIivLerqq6/GbDYftF3R1xjNaM+fP5/zzz8fpRQLFy40Xu/RkAyyEEIQn0EmEEDXtGPcIiHEiWj+/PlGWUTU0NAQzc3NzJgxA4Dk5OQRn6vr+pj2YbfbjZ/NZrNRz7t8+XLuuecetm3bxq233oo3MnvowRQVFfHVr36VF154AYvFwvbt2wGGBflKKXRd57rrrmPz5s1s3ryZuro6brvttsNKOMS+dovFghZzLI5tb+xrNJlMxu8mk2lc6pclgyyEEIAWySKZ09MBwnXIY8hiCCEmr4NleifK+eefzw9+8AMeffRRvvKVrxAKhfiP//gPli9fTlJS0kGfe+aZZ/L0009z3nnnsWPHDrZt23ZY+3Y4HBQWFhIIBFixYgXFxcUHXf+1117j/PPPx2q10tHRQW9vL8XFxWzbto0333yTvr4+EhMT+fvf/86DDz5IUlISl19+Obfccgt5eXn09fXhcDg4/fTTufHGG6mvr6eiooK+vj6ysrJITU1laGho1P2Xl5fz8ssvA7Bx40bq6+sP6/UeDckgCyEEoPt8AJhTU+N+F0KI8aSU4vnnn+eZZ56hsrKSWbNmkZCQMKa62W9/+9t0d3dTVVXFr3/9a6qqqkiPXNSPxS9+8QtOPfVUli1bxpw5cw65/htvvMGCBQtYtGgRF110Ef/7v/9LQUEBEA7Wv/zlL1NdXc1VV13F0qVLmTdvHrfffjsXXnghVVVVLFu2jPb2dnJzc7n//vu58sorWbRoEZ///OcBuPTSS3n++eeNTnoHuuqqq+jr66O6upo//elPzJo1a8yv9WipsabrJ9LSpUv1A283CCHEx6nrJz+h+Ze/pOiHP6Ttf/6Hqs5OrHl5x7pZQohxVltby9y5c491M45IKBQiEAiQkJDA3r17Of/889m1axc2m+1jbcfDDz/M+vXrueeeez7W/R6tkf72SqkNuq4vPXBdKbEQQgj2Z4xN0QzyGGrzhBDi4+R2uznvvPMIRDoS/+lPf/rYg+OpQgJkIYQgEiCbzZgTE/f/LoQQx5HU1NRhHfyOheXLl7N8+fJj3YwJJTXIQggB4bGPrVZMCQn7fxdCCDElSYAshBCA5vOhbDZU5HalZJCFEGLqkgBZCCEIB8TKZkNFxtKUGmQhhJi6JEAWQgjCJRWm2ABZSiyEEGLKkgBZCCGIlFhYrVJiIYSYcGazmerqahYsWMCll17KwMDAYW9j/fr13HTTTSM+Vl5eTk9PzxG17bbbbuOOO+44oueeSCRAFkIIRiixkABZCDFBEhMT2bx5M9u3bycrK4s//OEPh72NpUuX8vvf/34CWidAAmQhhADCJRVxnfSkxEII8TE4/fTTaW1tBWDv3r186lOfYsmSJZx11lns3LkTgGeeecaY0e7ss88GYOXKlVxyySUA9Pb2cuGFF7J48WK++c1vEp0ErqGhgQULFhj7uuOOO7jtttsA+POf/8zJJ5/MokWLuOqqq3C73R/XS54UJEAWQghiapCjw7xJBlkIMcFCoRD//Oc/ueyyywC44YYbuPvuu9mwYQN33HEH3/72twH4+c9/zuuvv86WLVt48cUXh23nv/7rvzjzzDPZtGkTl112GU1NTYfc95VXXsm6devYsmULc+fO5YEHHhjfFzfJyUQhQgiBDPMmxFT18OaHhy2bnzufk4tPJhAKsGLbimGPVxdUU11QjTvg5umap+MeW169/JD79Hg8VFdX09DQwJIlS1i2bBlOp5MPPviAq6++2ljPFzkOnXHGGSxfvpxrrrmGK6+8ctj2Vq1axXPPPQfAZz7zGTIzMw/Zhu3bt/OTn/yEgYEBnE4nF1100SGfM5VIBlkIIYgpsZBRLIQQEyxag9zY2Ijf7+cPf/gDmqaRkZHB5s2bjX+1tbUA3Hvvvdx+++00NzdTXV1Nb2/vsG0qpYYts1gsaJpm/O6NGb5y+fLl3HPPPWzbto1bb7017jEhGWQhhAAiJRZ2u3TSE2KKOVjG12q2HvTxJGvSmDLGo0lPT+f3v/89l19+Of/6r/9KRUUFzzzzDFdffTW6rrN161YWLVrE3r17OfXUUzn11FN56aWXaG5ujtvO2WefzYoVK/jJT37Cq6++Sn9/PwD5+fl0dXXR29tLSkoKL7/8Mp/61KcAcDgcFBYWEggEWLFiBcXFxUf8Ok5Eh8wgK6VKlVLvKKVqlVI1SqmbI8uzlFJvKqV2R/7PjHnOD5VSe5RSdUopydkLIY57WiSDbJIaZCHEx2jx4sUsWrSIJ598khUrVvDAAw+waNEi5s+fzwsvvADA9773PRYuXMiCBQs4++yzWbRoUdw2br31VlatWsVJJ53EG2+8QVlZGQBWq5Wf/exnnHrqqVxyySXMmTPHeM4vfvELTj31VJYtWxa3XISpaE/HUVdQqhAo1HV9o1IqFdgAXAEsB/p0Xf+VUuoHQKau699XSs0DngBOAYqAt4BZuq6HRtvH0qVL9fXr14/H6xFCiCNSW1yM9ZRTmHbffWzNz2faL35Bzk9+cqybJYQYZ7W1tcydO/dYN0McAyP97ZVSG3RdX3rguofMIOu63q7r+sbIzw6gFigGLgceiaz2COGgmcjyJ3Vd9+m6Xg/sIRwsCyHEcUv3+1F2+/5RLKQGWQghpqzD6qSnlCoHFgMfAfm6rrdDOIgG8iKrFQOxxTEtkWVCCHHc0qQGWQghRMSYA2SlVArwLPBdXdeHDrbqCMuG1XEopW5QSq1XSq3v7u4eazOEEGJC6IFAeBQLi8X4XQghxNQ0pgBZKWUlHByv0HX9ucjizkh9crROuSuyvAUojXl6CdB24DZ1Xb9f1/Wluq4vzc3NPdL2CyHEuDCGeTOZwGJBkxILIU5Yh+p/JU48h/s3H8soFgp4AKjVdf3OmIdeBK6L/Hwd8ELM8i8opexKqQqgElh7WK0SQoiPk6ahh0LhEgulwGKRDLIQJ6iEhAR6e3slSJ5CdF2nt7eXhEgfk7EYyzjIZwBfBrYppTZHlv0I+BXwtFLqa0ATcHWkETVKqaeBHUAQuPFgI1gIIcQx5/OhgVF/rKxW6aQnxAmqpKSElpYWpLxzaklISKCkpGTM6x8yQNZ1fTUj1xUDnD/Kc34J/HLMrRBCiGPJ50MHY5ppJRlkIU5YVquVioqKY90McZyTqaaFECISIEcnCVFWqwTIQggxhUmALISY8jSPB4gpsZAMshBCTGkSIAshprzomMem2BpkCZCFEGLKkgBZCDHlRTPIcSUW0klPCCGmLAmQhRBTnub1AgeUWASDx7JJQgghjiEJkIUQU54eCZBNMsybEEIIJEAWQoj9GeTYEgvJIAshxJQlAbIQYsqLBsgyzJsQQgiQAFkIIfaXWEQDZBnmTQghpjQJkIUQU54WGeZNyTBvQgghkABZCCH2Z5ATEwEJkIUQYqqTAFkIMeWNWIMsnfSEEGLKkgBZCDHlGSUW0klPCCEEEiALIYQx5rGUWAghhAAJkIUQYvg4yDablFgIIcQUJgGyEGLKi5ZYyDBvQgghQAJkIYRA9/nAZEJZLIB00hNCiKlOAmQhxJSn+XyYbDbjd2WzSQZZCCGmMAmQhRBTnu7zYbJajd+NDLKuH8NWCSGEOFYkQBZCTHmaz4c6MIMMEAodszYJIYQ4diRAFkJMeQeWWJisVjSAyPBvQgghphYJkIUQU57u98fXIFut4Qyy1CELIcSUJAGyEGLKG6nEApAMshBCTFESIAshpjzN78dktxu/q0iHPV0CZCGEmJIkQBZCTHm63z9iBlmPTCAihBBiapEAWQgx5Wl+/7Bh3mD/DHtCCCGmFgmQhRBT3rASi8jPUmIhhBBTkwTIQogpb1iJhdQgCyHElCYBshBiytN8PumkJ4QQwiABshBiytMDgbgAOfqzdNITQoipSQJkIcSUp/n9Rt0x7B/FQpMMshBCTEkSIAshprxhnfSiw7xJgCyEEFOSBMhCiClN13WQiUKEEELEkABZCDGlaZoGgUBciYUpISH8mATIQggxJUmALISY0vRQCEIhTDLMmxBCiAgJkIUQU5rm9QKM2ElPAmQhhJiaJEAWQkxpmscD7C+riP1ZAmQhhJiaJEAWQkxpeiSDPFInPalBFkKIqUkCZCHElDZiiUV0opBA4Ji0SYy/UChEW1tbeNQSIYQ4hEMGyEqpB5VSXUqp7THLblNKtSqlNkf+fTrmsR8qpfYopeqUUhdNVMOFEGI8GBnk2BKLaIAsGeQTxuDgIO1tbTidzmPdFCHEJDCWDPLDwKdGWH6XruvVkX+vACil5gFfAOZHnvNHpZR5vBorhBDjTRshQJaZ9E48wRdfhLPPxrt167FuihBiEjhkgKzr+iqgb4zbuxx4Utd1n67r9cAe4JSjaJ8QQkwoo8QiNkCWDPIJJ/hv/wYeD94//elYN0UIMQkcTQ3yd5RSWyMlGJmRZcVAc8w6LZFlQghxXNLdbgBMSUnGMmMcZKlBPjH09BCIlFb4Vq06xo0RQkwGRxog/wmYAVQD7cBvI8vVCOuO2CNCKXWDUmq9Ump9d3f3ETZDCCGOTnSYN5WYaCxTJhNYLBIgnyDaVq6kB6C6Gm9zM0gdshDiEI4oQNZ1vVPX9ZCu6xrwZ/aXUbQApTGrlgBto2zjfl3Xl+q6vjQ3N/dImiGEEEfNGAc5JoMMYLJYpAb5BNG1fn34h4suwgdo27Yd0/YIIY5/RxQgK6UKY379LBAd4eJF4AtKKbtSqgKoBNYeXROFEGLi6KMEyEoyyCcMW1sbJCTAaacB4Nuy5Ri3SAhxvLMcagWl1BPAuUCOUqoFuBU4VylVTbh8ogH4JoCu6zVKqaeBHUAQuFHX9dCEtFwIIcaBFqlBVgcGyFardNI7QZi6uyE3F2tpKQGl8O7dS+KhnyaEmMIOGSDruv7FERY/cJD1fwn88mgaJYQQHxdjmLeRSiwkg3xCCHR2kl5YyLSqKrbm5uJvbDzWTRJCHOdkJj0hxJSmezzh3sWJ8TlFySCfOAJdXSQUFWG1WjEVFuJvajrWTRJCHOckQBZCTGmaxxM+EB4YIFss6MHgMWmTGD+hYBC9uxtrYbjrjK24GH9LyzFulRDieCcBshBiStN9vvCBMDI5SJTJZpNOeieAQHc3+P1Yi4oAsJWW4u/oAE07xi0TQhzPJEAWQkxpmscTnhjEFH84VDLM2wkh0NEBgDU/HwBbYSGBUAh6e49ls4QQxzkJkIUQU5rm8WCKmWY6SkosTgyBSCBszc4GwF5URAAISZmFEOIgJEAWQkxpus+HOqC8AkDZbNJJ7wQQ6O8HwJqVBUBSWRkAbhnJQghxEBIgCyGmNM3jwTRCgGyyWNAkgzzpBfv6UIA5kkFOmjYNAHdz8zFslRDieCcBshBiStO83pFLLKST3gkh0N+PFSAjAwBLSQlWwCMlFkKIg5AAWQgxpele78glFlarBMgngODAQHhGrEiATEoKtqQk/J2dx7BVQojjnQTIQogpTfP5Rswgm6xW6aR3AggNDWFWClJSjGW2vDwCEiALIQ5CAmQhxJSme72YDpgkBMIZZBnmbfLTBgcxpaaCUsYyW14e/q6uY9gqIcTxTgJkIcSUph2sxEIyyJOeNjSEKS0tbpktPx+tt5eg/H2FEKOQAFkIMaVpPt+oGWSpQZ78RgqQrYWF0NNDQP6+QohRSIAshJjSdJ8PNVINss0mw7ydADSHY1iAbC4oAJeLkMNxjFolhDjeSYAshJjSRh3mTUosTgiaw4EpPT1umbmoCIBQe/uxaJIQYhKQAFkIMWXpuo7u949aYkEggK7rx6BlYjzouo7mcGA+MEAuKAAg1NFxLJolhJgEJEAWQkxZuq7DQUosCAYlQJ7ENE2DkTLIhYWAZJCFEKOTAFkIMWVpgQAEg6POpEcgEA6yxKSkBQLgdo9eYiFjIQshRiEBshBiytI9HgBMSUnDHlNWa3gdqUOetLSBAQBM0Vn0Ikz5+ShAk7GQhRCjkABZCDFlaS4XAGqkGmSbDQiPciEmJ62/HxgeIGO1YkpPJ9Td/fE3SggxKUiALISYsjS3G2DkqaajAbLMpjdpjRogA+bsbEKSQRZCjEICZCHElBUtsThYBlmTDPKkNVqJBYA5N1cyyEKIUUmALISYsowM8sFqkCVAnrRCkQyyOTNz2GPmnBwJkIUQo5IAWQgxZenRAHmEDLJRYiHTEU9a/t5eAGy5ucMes+blEejp+bibJISYJCRAFkJMWdpYSiy83o+1TWL8+Hp7MQGWnJxhj9nz8/F5POiRjppCCBFLAmQhxJRllFgkJw97TEkGedLz9fdjB0hLG/ZYQlEROuBrbv64myWEmAQkQBZCTFkHHQdZRrGY9PwDA9iTk8FsHvZYQnExAN6mpo+7WUKISUACZCHElGWUWBxkmDcZxWLyCgwOYh0hewxgiwTIwY6Oj7NJQohJQgJkIcSUFQ2QRyyxsNsBKbGYzPShoWHTTEeZCgsBmW5aCDEyCZCFEFNWdCY98whZRhnmbfLTHA7UKBlkU0FBeB2ZLEQIMQIJkIUQU1bI4UABKjV12GMmySBParquozudmEYJkJXNhiktTWbTE0KMSAJkIcSUpbndmJSCSDAcS2bSm9x0XQeHY9QSCwCTTDcthBiFBMhCiClLczrDk4QoNeyxaMc9KbGYnDRNA4cDdZAA2ZyTgyaz6QkhRiABshBiytLc7hGHeIP9s+tJgDw5aaEQOJ2YMjJGXUemmxZCjEYCZCHElKW5XKMGyNEMssykNzlpQ0Og6wcvscjNRYtMRy2EELEkQBZCTFmay2VkiodJSEABugTIk5I+MABw8Axybi4hlwsiMyoKIUSUBMhCiClLc7tHHAMZALs9HCDLTHqTktbXB3DQGmRTbi4agIyFLIQ4gATIQogpK+R2Yx6lxMIIkKUGeVLSohnkzMxR1zHn5xMCCZCFEMMcMkBWSj2olOpSSm2PWZallHpTKbU78n9mzGM/VErtUUrVKaUumqiGCyHE0TpUBtmEDPM2WemDg8DBSyxMubkSIAshRjSWDPLDwKcOWPYD4J+6rlcC/4z8jlJqHvAFYH7kOX9USpnHrbVCCDGONI9n1E56WCwopaQGeZLS+vsBUAcJkJPKytCAoYaGj6VNQojJ45ABsq7rq4C+AxZfDjwS+fkR4IqY5U/quu7Tdb0e2AOcMj5NFUKI8XXQDLJSKJtNSiwmqbGUWGTNmoUJGGxu/ngaJYSYNI60Bjlf1/V2gMj/eZHlxUDskaYlskwIIY47B80gAyabDU066U1KYwmQld2OJS2NUEfHx9QqIcRkMd6d9IZPRwX6iCsqdYNSar1San23DNQuhPiYhXw+dJ8Py0FGOZAM8uSlDw2F68gj41mPxpyfT0hqkIUQBzjSALlTKVUIEPk/Opl9C1Aas14J0DbSBnRdv1/X9aW6ri/Nzc09wmYIIcSRCUSGAbOmpY26jrLbJUCepLSBAUhNRY0wjXgsc34+ofb2j6dRQohJ40gD5BeB6yI/Xwe8ELP8C0opu1KqAqgE1h5dE4UQYvwFIp24rAe5BW+y2WQc5ElKGxyElBRMpoOf5syFhWiSQRZCHMByqBWUUk8A5wI5SqkW4FbgV8DTSqmvAU3A1QC6rtcopZ4GdgBB4EZd10MT1HYhhDhiwUiAbDnIKAfKZiMkGeRJKTQ4iCkt7ZAZZFNBAaGeHggEwGr9mFonhDjeHTJA1nX9i6M8dP4o6/8S+OXRNEoIISZaINKJ62AZZKlBnryCQ0NYDlI+E2UuLAyPhdzRAaWlh1pdCDFFyEx6QogpKdDfj+IQGWS7XUosJqng4CCW1NRDrmcuKgoHyK2tE94mIcTkIQGyEGJKCg4Ohm+hHSTLaLLbZSa9SSo4NHTQEUqiTIWFaIBzz56Jb5QQYtKQAFkIMSVpDkf4AHiwUSxsNvRA4GNrkxgnuk7Q4Tjo3YEoc3F4qP66LVsmuFFCiMlEAmQhxJQUGhrCDAcPkBMSpAZ5MvJ6CQaDYwqQQxkZYLFAV9ch1xVCTB0SIAshpqRQNIOckjLqOjKT3uSk9/cT4uD15VEJiYmQlwddXej6iPNaCSGmIAmQhRBTkuZwYE5ICGcPRyEThUxOwZ4eACwHGaEkKisri+KSEujqwi8XQ0KICAmQhRBTUmhoCPMhRjkwJSZKBnkSCkVmSTSPIUAGSC4vh/Z2fHIxJISIkABZCDElaUNDmA4xyoFKSACvV269TzJaZIzrsQbICdOnozo7aWtqmsBWCSEmEwmQhRBTUmhoCPMhAmRTYiL4fGghmRB0MglFZkk0j6EGGcA6YwY5moarsRFN0yawZUKIyUICZCHElKPrOtrQ0CEDKJWYCLoudciTTDRANo0xg8y0aSQDtLURkGH9hBBIgCyEmII0TYOhIUyHCJBNSUnh9V2uj6FVYrwYGeTs7LE9obwcK0iALIQwSIAshJhyQqEQOBxjyyADutv9MbRKjJfQ4CBYLJiTk8f2hLIybADt7TKShRACkABZCDEFacEgOJ2HvAVvZJAlQJ5UQgMDkJKC+SBD+MWx27EWFkoGWQhhkABZCDHljHUYMMkgT06hwUFMqakopcb8HHNFBab2dgmQhRCABMhCiCnICJCzsg66ntQgT06hgQHMB5lCfETl5Zjb2wkGgxPTKCHEpCIBshBiytEiAbLpEAGykUH2eCa8TWL8hAYGxjzEm6GiAnN7OyGvd0LaJISYXCRAFkJMOaHIVMTm3NyDrmeKdPKSGuTJJXgkAfKsWVg0jVBj44S0SQgxuUiALISYcrRogJyXd9D1JIM8OfkHBrAf4u7AMLNmYQZC+/ZNSJuEEJOLBMhCiCknmkE2HSJAlgzy5KOHQvgdDmwSIAshjoIEyEKIKSfU04NSSmqQT0CB3l50Xcc+1klCorKyMGdkEGpomJB2CSEmFwmQhRBTjtbXhyk9Hczmg65nZJBlFItJw9/ZCYDtEPXlIzFPny4BshACkABZCDEFhXp7x9SJS0WGedNlZINJI9DdDYA1J+ewn2ueORO9sTE8FbkQYkqTAFkIMeWE+voOOUkIgCklBZAM8mRijHF9hAEy3d14IzXqQoipSwJkIcSUo/X0YBpDAKUsFrDZZCa9SSTU2wscWYBsmz0bgKZVq8a1TUKIyUcCZCHElBPq6TnkGMgASilUUhKa0/kxtEqMh2BfH4ojC5DTTzuNRCC0c+e4t0sIMblIgCyEmFr8fvwDA1jz88e0ujkxkZCUWEwaob4+zABjKKEZZsYMUu12AhIgCzHlSYAshJhS9M5OAoCtoGBM65uSkqQGeRIJDQxgTkwEu/3wn2w2Y5k9m9Du3dJRT4gpTgJkIcSUEmxtBcBaWDim9SVAnlyCfX1Y0tOP+PnW+fNh926CweA4tkoIMdlIgCyEmFL8LS0A2IqLx7S+KTlZSiwmkdDAwJiG8BuNdeFC6O8nEPmcCCGmJgmQhRBTSjTwsY4xQDYnJclU05NIaGAA89FkkKuqAAhs3TpeTRJCTEISIAshphR/YyOYTNimTRvT+qbkZAmQJ5Hg4CCWI+mgF2E56aTwdjZuHK8mCSEmIQmQhRBTSqCpCZWXhyUhYUzrS4A8eei6TnBwEGtW1hFvw1pQACUlBNavH8eWCSEmGwmQhRBTir+5GWtR0ZjXN6ekEJIAeVII+HzQ1zfmIfxGopTCvHAhgU2bxrFlQojJRgJkIcSUEmhtHXMHPYiMYuHxgAz7ddwLdHWBpo15CL/RWKuqCHZ0QFvbOLVMCDHZSIAshJg6gkH8HR1YS0vH/BRTSgoagMczYc0S48MfHcLvaAPkxYsJAKxde/SNEkJMShIgCyGmjrY2ApqGraxszE8xpaSgA/rQ0MS1S4yLQEcHwGGV0IzEWlWF02wm8P7749EsIcQkJAGyEGLK0Bsb0QDLYQTI0SHDQn19E9QqMV6CkQDZMsZJYEZjT0+H+fNpfeut8WiWEGISkgBZCDFlBPftA8A8xiHeAGPSiVB//0Q0SYyjUHc3ZoCj6KQHUFBQQPJppzG4dSvB/n48Ul4jxJRzVAGyUqpBKbVNKbVZKbU+sixLKfWmUmp35P8jH5BSCCHGUaixEQDzYdQgR8fUDUoG+bindXdjVgqOYpg3AJPJRMHFFxPUNLb89a/s2LFjnFoohJgsxiODfJ6u69W6ri+N/P4D4J+6rlcC/4z8LoQQx1xw717IyMByGDOtGQGyZJCPe6HubkxZWWA6+lNb+rJl2CwWiIyHrOv6UW9TCDF5TESJxeXAI5GfHwGumIB9CCHEYQvt3AnTp2M2m8f8HHMkQA4NDExQq8R4CfX0YM7OHpdtqeRkkqur4aOPwtsOhcZlu0KIyeFoA2QdeEMptUEpdUNkWb6u6+0Akf/zjnIfQghx9HTdCJAtFsuYn2aJBFxBCZCPe6GeHsw5OeO2PfuyZVBXB11dBIPBcduuEOL4d7QB8hm6rp8EXAzcqJQ6e6xPVErdoJRar5Ra393dfZTNEEKIQ+jowDc0BBUVh5dBjnTSCw4OTlDDxHgJ9faOa4Bsu/ji8A+rV0uALMQUc1QBsq7rbZH/u4DngVOATqVUIUDk/65Rnnu/rutLdV1fmpubezTNEEKIQ/Jt2UIbHHaArCwWLElJkkGeBEK9vZjH8XximjsXCgth1SopsRBiijniAFkplayUSo3+DFwIbAdeBK6LrHYd8MLRNlIIIY7W4KZN4R+mT0cpdVjPtaSlEZSJQo5vbjeax4NpHDPIKampcPbZsHatdNIUYoo5mgxyPrBaKbUFWAv8Q9f114BfAcuUUruBZZHfhRDimHJs344lNZX5Z4+5EsxgTk0lJCUWx7fWVkKA+SinmY5lt9up/va3we8n+PLLBAKBcdu2EOL4NvaeKgfQdX0fsGiE5b3A+UfTKCGEGG+enTtJrawkITHxsJ9rzsiQiUKOc6GGBuDwxrgeC/OZZ6IKChh4+mlaTj+diooKso5ynGUhxPFPZtITQpzw9EAA/44d2Kurj+j55qwsCZCPc/11dQAkzZgxvhs2mUi+9FKc778Pvb24XK7x3b4Q4rgkAbIQ4oTn37QJ3evFfsopR/R8S3a2dNI7zg3s2YMdSJ0zZ9y3nfov/wKaBi+9dFhDBAohJi8JkIUQJzzf++8DYD/99CN6vjkrK1yDLLOpHbcCra0kZGVBQsK4bzvtpJNgyRJ49lmUfAaEmBIkQBZCnPB8H30EGRnYZ88+ouebs7LQQyE0ySIftwLt7ViLiiZk28nJyZg+9zlob0d7880J2YcQ4vgiAbIQ4oTnW78etXAhNrv9iJ4fnXwi1Nk5ns0S40TX9XCAXFw8IdtXSpH3hS9AQQGh//s/uZMgxBQgAbIQ4sTW1oZv717sS5ce8SYskcknQjLr53EpEAhARwe2cR7BIlZxeTnWr32N0KZN8M9/Tth+hBDHBwmQhRAnJF3XwyMOvP46PsB+3nlHvK3o7GxBySAflwI9PeB2Y53AABnAfNVVaPn58ItfTOh+hBDHngTIQogTUmdnJzt37qTnhRfw5eRgXzRs2PYxMxcWAhBqbx+v5olxFIiMgWwtL5/Q/ZgTEwndcAOsWgUvvzyh+xJCHFsSIAshTkhutxuCQRrffhvt9NPD0wYfIXOk85cEyMenQH09ANaKigndj8lkQrvmGpg7F26+GbzeCd2fEOLYkQBZCHFCMplMsHkzOBxwxhmkpKQc8bbMycmQmkqoo2P8GijGTWDXLhRgmTt3QvdjNpsJmUz47ryTDfv2sfHmm+mWunQhTkgSIAshTkhKKXjlFUhKIu+zn8VqtR7xtiwWC+TkSIB8nPLv3o0lPR0VGW1kophMJvx+P00zZsCyZegPPkjTG2/glUyyECccCZCFECekoNMZHm3gk5+kdNaso9qWUgpTbq500jtOBfbswTbB5RUQvlAKhUIMDQ3B978PGRnw4x/T3dg44fsWQny8JEAWQpyQAq++Ci4XXHzxuGzPnJsr4yAfpwL19VhnzJjw/WRkZMT+ArffTnJjI57/9/9GHBtZ13V27doVDqiFEJOKBMhCiBOPrhN46CHSpk1j0de/Pi6bNBcWhkssgsFx2Z4YJ0ND+Ht6sFVWTviuUlNTycvLM34v/9znsN5yC8EXXzSGftM0zXg8FArhcDjYu3fvhLdNCDG+JEAWQpxwul9+Gf+OHSTecAMWm21ctmkuLSUUCkFb27hsT4yPYE0NITjiacQPV2nMWMvZ2dlYb74Z/6WXErr1VobuvptNmzaFx99mf7AcGzQLISYHCZCFECcUj9vN0P/8Dyo9nYLvfGfctqsXFjIE9G3bNm7bFEfPV1MDgH3evI9tn+Xl5cyIlHRYrFZCP/oRm08/ncabboJnnzVKKkKh0MfWJiHE+JIAWQhxwmhubmbHAw8w8OGHZNx0E5a0tHHbdig/H4CeHTvGbZvi6Pm2bwezGfucOR/bPrOzs416ZKvVClYr3HEH/jPPhP/5H7z/+7+g65I5FmISkwBZCHHC6Gpqgt/+FoqLSRqn2uOoGWeeCYDe0jKu2xVHx7txI1RWYj+KiWCOhtlsDv9gt8P//i985jO47roLz9VXExoYOCZtEkIcPQmQhRAnhFAoBPffD42NWH/6UzJiOlONh8SsLHIKC/Hu2TOu2xVHQdfxbd6MbcGC8LjXx5rVSvpdd+H7znfY8dxzdJ9+OmzZAsCGDRvweDxxq2uaRnt7O/oII2AIIY4tCZCFECcE/0svwaOPUvHlL1P1zW+SkJAw7vtImDmTYH09QRnJ4viwbx8+hwP7okXHrAkZGRnk5+dTXFwMQH5BASxfDn/+MwOhEHz963DnneB0sm/fPjZs2ICmabS0tNDY2EhbWxvd3d0SJAtxnJEAWQgx6fk3byawfDlUVmK7444J24999mxobMTv803YPsRhWL8eL2BfvPiYNcFkMlFSUkJBQQEnnXQSqamp5OTkYD35ZHj8cfjsZ8P/X3EF3hUrIBCgv7+fzs5O+vr6gHDt/LZt2yRIFuI4IgGyEGLSCYVCtLS04HQ6Gdq0iW3LlrHbYoE77sAWO5nDOLPNmwduN/6Ghgnbhxi7lnfeIWS1Yl+48Fg3BcAo85g2bRpZWVmQkgI/+hF5//gHTJsG//M/cMUV9P7f/8EB01MHAoFxuzNRV1fH7t27x2VbQkxVEiALIT52gUCA7u7uI3pud3c3mzdvprOzk7pnn8Vx/vkQCMAf/gDFxeFRBSaILZKp9G/cOGH7EGPn+PBDTHPnkhspbzie2GLG3y799KcxPfgg3H03FBTg+MUv4DOfgd/9DmIutsYrQHY6nTJ7nxBHSQJkIcTHbufOnTQ1NeH3+8e0vtPpNDo0NTU1haf1fe45+OY36UhKwvrYY8y//HLKy8sntLOWZckSTIA/0vFKHDt6Xx/ebdvIPe+8/SNJHEdsB0xQY7ZY4PTT4S9/gfvuI/+MM+CJJ+Bzn4OvfQ2eeILOTZsOWWahaRr19fV4D8hACyHGlwTIQoiDCoVCR1wbqWnasEyWrutGYDyWk7zf76euro6mpiY6OjqgpQX+/d/hv/+brJNPhocewjpzJgkJCWRnZx9RO8csNRXbtGl4N22a2P2IQ/K/+SaarpNw/vnHuikjSk5Ojvs9EAiEf1AKtXQpWc88A6+8At/5Drhc8Nvf0nvGGQyefDL8/OcE3n03fGeE8Hdww4YNDAwM4Ha76evrM6avjv0Z4mftG+1729zcjNPpHM+XO+I+ojXWYuz6+/vDxzlxzFmOdQPEx8vtdrNr1y7mzZs3LMMhxEg2b95MRkaGMXPY4WhsbKSvr48FCxZgt9uBmEAB8B2is1sgEDBqKd2trZj+8hcSVqzAbTbDLbdQcccdZDkcEzJixWiSTz+dwZdegmAQLHIIPVZcr70GiYkknX32sW7KiKxWK8XFxcPuksyZM8f4LpCdDcuXU/CDH9Cxdi28/Tb9q1ah33or+4DZyckknXMO3tNPh9xc2jSN/OnTgfDFZTSbDOHyDIvFEvf9CoVCWA74jAaDQbq6uujq6mLJkiVxjzU1NZGdnT0suD9cuq7T1dUFEK7FPkB0Ku7R9hO9sM44oD+Bx+PBZrMd9I5BIBBgcHCQxMTEo34dx8K+ffsAKCgoOMYtEXJ0n2L6+voIhUJ0d3cbwxKJsYmegI4Vj8fDjh07mDVrFqkf06QI0WzUwGFOeODz+VBK4Xa7gfgpd2Mzyk1NTWRlZWE2mwkGg4RCof3BA9DS0oJ3+3Z45hm0l14i6PeTf801uK+/HnJzwWQiPT39KF7h4Uv55CfpffJJvB9+SMJZZ32s+xYRuo7zzTcxLV1K4jjOljjeYoOcvLw8BgYGRgzaiouL6Sgrg+XLGfza17CYzfDqq+xetw4++oiyV14BIAh4Kyth9myorGTHhg1QWgq5uXg8HlJTU+MC5EAgYAST0dKj2Ls2+/btIyMjg+bmZmbOnEl3dzd9fX1UV1cf9HVFt2symfD5fDQ0NFBYWEhqaipKqbgLX5/PF/edHhoaMi56YwN0t9tNS0sLM2fOpLm5mZ6eHubOnUtSUhIQDrp37NhBamoqs2bNGrVt+/btM7Lj06dPJzMzc9g60btYse2KttXhcJCTk3PQ13+g6HHSZDq6m/Kxfxtd18dULqbrOrquH/W+xXASIB8Fl8uFruukpKQc8op4PMR+YaK3znRdp6enh9zc3DF9maIHy2h7x7NNh/OcQCBw2BnsgYEBent70XWdmTNnHnRdp9NJQkJCXEAbDAYJBAIkJiaO+rxQKDRidsLv97Nt2zZKSkrIj0w5/HFzOBxA+BbceAbIPp8PXddHzMLGnmwPx/bt2wGME1A0QB4cHKSxsTFuXafTSUpKCnV1dXi9XhZXVzO4eTNdTzyB84UXYM8esFjwfeYz8KUvYb/gAipGae/HIfnCCwFwv/GGBMjHSNuLL9LT2krqTTcdHxOEjEFpaSmlpaVxyzIzM0lJSYlbFgqFcNrtcP75aJHykYaBAaipIVBTQ0dNDaxeDS+/jBGGpqSwd8YMCufOxTZ9OiQlQVERO3p7seTlkZySgs/nIzc3N67sob+/n/7+fgA6OzuN/Xd2dh70OLd161ZsNhsLFy6kp6cHp9NpBL1FRUVx5Ruxgaiu6yOOrhEKhdi5cye6ruN2u40JVWI7LUYz8dHj4GjGcoeqoaGBvr4+Fi9eHBdY1tXVEQgEyMrKwmQyoes6Lpcr7m8UCATwer1xx+CamhoCgQAnnXTSsH15vV58Pt+YLuRjA+ShoSFCoRA+n4/CwsJRn1NTU4Pf76eqqoq2tjZKSkowmUwMDAzg8/nIy8ubkO9IKBSiubmZkpISlFK0tLRQXFyMrusT2lH64yQB8hFoaWkxDiYQvgreuXMnwLAv3HhpbGykp6eH+fPnk5CQwK5du/B4PBQUFNDa2orJZBr1qjd6xT5z5kyjtmmsgU8wGKS/v5/c3NxhjzmdTurq6pgzZ45xYTDalfmBr6W3t3fYe+V0Ounr66OsrGzE58XW2R0sMNd1nbq6OpKSkpg7d66xfMeOHQQCAZYsWYLD4cDj8ZAXM9ta9PVUVlaSdkBWKppBHRoamtAAuaenh5SUlI8l+AsGg7jd7hGzOVHRz8mRHmCjF3LRE13sTGKzZ8+mrq6OttZW3PX1sG0bfPQRfRs20NjcHF5pwQL43vdg2TKI3KpNTEw8ZsExgL20FGbOxPPOO8f8rsJUNDAwQPtf/wp2O0mXX36sm3NUpkfKJSD8fTCbzezYscO48wKQmpqKA+CMM8L/gOzsbHp374Z9+2DvXqivJ7R3Ly1vvUVBT0/cPoIJCQwWFkJ+Pi25ueg5OeG7L9F/OTmQk2MEygCtra20t7dTXFw87Ngfvdj1+/20t7cPC1jb2trifu/t7aW7u5vy8vJRA9bm5mbjWBF7t+nAbPhYxB6rRjtuRS8SgsFgXKImuo9AIIDdbqezs5PW1lZmz55tBMk7d+7E7/fHHS+jwbvf78dqtcbtt6amBth/fHU4HDQ0NDBv3rxhyZjYC4I9MTN2HixAjr6nHR0ddHd3k5iYSFpaGo2NjQSDQUwm04jn7wMdzrEsGAzS0tJCb28vSimsVis9PT1GAmvRokUnxHFx8r+CCRANlGLrJmPFBscQ/6HetGnTiAHWSPr7+3G5XJSUlBx0vWAwSE/koLdnzx5mzJhhXKHHHqxihUIhTCYTSinjYBD7hRvtYBPtWLEoMjNVU1MT/f39JCcnG7e6oqLBtsvlMgLkpqYmenp64r4ge/bswel0GrftRjs47d69G03TKCoqOuSX62AZ6Oh7EXuSiX3Nmqaxa9cuAHJycowgPZpV3717N6WlpXHB84EngWgWoaurC7PZTHl5OTB6BvpAGzdupKCggKKiImOZy+WisbGRlJQUZs+ePew5sSeOKE3T8Hq9xt+mu7sbu90+ps9fdAavqMbGRlJTU8nMzCQYDKLruvE5i31NB94tCYVCuN1uUlJSRj0h9ff3k5GRgb+vD3buhMZGEp97Dt55B3dtLURLOJKTGfrEJ+Daa+ETn8BWURH32S4pKTmmwTGEb6OazziDjr/+la6VK6k6TkdROFH1tbfDG2/AueeSOIYT/2QRDcAsFotxTikpKSE3N5dNB3QKLSoqore3F7KyqPziF0lISGDbtm2YTCacSpHc0sIcpWjbtImenTsJtLRAdzf63r3Q20uapjFsELiUFBIyMgikpxPKyCCUnk5TRga58+YZQTQZGXhtNujuhpQU2rxesNvJys4e1iEvKSkJt9sdbifhC9uRzqe9vb3GOhA+LkWP3bHf/difBwYGcLlcI5YJxh6DosfM+vp63G438+fPj1u3o6MDm802rN7X5/NhtVqN4190f/n5+UY7RjrW19TUoJQyLgZi66+j67e1teH3++nv7x+W1DrYRYCu6+zZs4fCwkLjszJSJ8xAIGDcwYPw+3uoALmrq4vm5mYj5nG5XFit1hHPsZqmsSVmFB+v1zvszrbL5TIy5rGBd11dHR6P55AlPMeLKR0g67rOwMAA6enp+Hw+49Z7NBh1OBzY7XYaGxtxOBzMnz9/xNs7sVfeAO3t7SMGKIFAgNraWtLS0igvLzeK8fPy8hgcHCQnJ2fEACO2/tPn8xnBHeyvfToweNq8eTPp6enMnDlzxIx2dGSCA/cX7VgRCASwWq1xB4OBgQFCoRAej4e+vr64gDNqcHDQWBYKhXC5XMayA/cXG+Q6nc64GrmUlBQ0TaO/v3/EkQkODK5jHarjV+yBdtOmTVRXVxv1dFEtLS3k5eWh6zo+n884YQ0NDdHZ2UlLS0vcNsvKyvD5fOzYsYPy8vKDjqbQ39+Pruu0t7cTCATo6elh+vTpw7Z5oOj7Hfu3bmpqore3l6qqKkwmU3gINMLZCq/Xi9lsHvV2V+zfDcKf+56eHgYGBoZ9pmNPBNG7JUuWLEHTNHbu3InX66WooIBCsxlaW+Hdd6G7m1B3N3R20t/Whqm5GV9MQG42mWD6dDjrLJg3L/xv9mz6Yy6OlFLYbDbjb/Zx1xuPxnbVVXgeeQTt5ZfxnHbasNvkYnzt27ePwcFBFi9ejPfJJ2FoCK644qDlUpOVzWYjGAwaU1gfKCEhIe47nZycjNlspqSkJDx5DpBfXQ0lJRR95jOkxNT8ms1m7BYLlbm5bHjrLejpCQe7PT0wOEiyxwP9/fR2dYWz0wMDeB9/nARAA7oZYegri4XU1FSy09PZbbNBSgoqOZnZZWVs8nohIQESE+lJTsaUmBju2JqQAAkJdO7bR4vDAYmJZOTlMeD3405MDD9usTAwMIDVaiUnJyfuuN3d3c3Q0BBJSUkkJSUZgffg4GDc8TF63I4G75qmxR3nu7u7UUqRm5sbd4zbvXs3SUlJxrrRpFhskihahx17YRA9pkbvdsa2Obp+9Dw3NDQ05gA5Wh44NDSEx+Ohqqpq2PrR896BiSGXyzXsdUc1NDSglDLimsHBQZRSNDU1kZaWRmVl5bDnRM/nUW63e1gcEX1ffT4fTU1NRi35gSOnREtIomV+I3XoPJamdIDc0dERdzuouLgYTdOMqyCTyYTT6TQC5tra2rhbxFHRoCTK6XQaAabH4zEO4i6Xi0AgQG9vb9wXbd++fbhcLoLBIIWFhUZAFs3QHbjP2Ix1NJsXGxTG1nsezIFZ2Nj9eDyeuIOw1+sd9jqjBgYGjANM9ADh8XhwuVy0t7cb6w0NDdHR0THstntfX5/REzv6WlJSUmhvb6ejowOLxTLsgmOkA4nL5aK5uXnEThmxamtrUUoZ7WhtbR1WGxh9LPo3j30vRgpk29rajL+Fw+EYMUDu6+vDYrEYF0aw/2IsdpnH4yEUCtHf32/Ut2dmZhoHvtjXHu3w1t7ePixIq6mpwWKxGHcDYmmaNnwM4kAA3G76OzrA7Q7/83jA40EFg/DeewS7u2HXLhgcxBkKofr78XZ0wOAgbYODJGkasdXRIZMp3FO/sJDe006DadOwz5hBwZIlsHQp7NgR14S0tLRhw8LNnz+f/v5+urq6Dlq683GaceGFuE8+mX0vvIDnRz+SAHmCRS/Y9EAA7wMPYJs/Hz7xiWN+N2EiRLNtscfmpKQkQqEQFRUV2Gw2I6hLTU01ArvY9WPrY1NSUsjNzSU/Px+fzxcOlFJSYM6cYfs2R+tVOzuNC9P+7GzUwABaTw/t9fXgdKJcLnSnMzw8ndNJotVKssdDUWcnbb292Lq6MLW0YBkYIOj1gseDHzjwUj32SJoODER+tgIBwG2302i14khIoM9iAZsNbDaGIv/vs1rBbuek3FwcZjN7fL7wOlYr2GwE09MJ5uZCby9YLPS89Vb4mORyhQN1iwXdYqG/tpac7GyorzeWuy0WLHY7KGUs29XVZfxcs24dC6urqd+7F0wmUlJShgWA0YQThIPlhIQEo87Y5/MZx3hd1wkGg0bi58Bjc0dHh3EOjHayz8nJiatZjp5/Ys/7ZrPZCEITExONc2RlZSVms9nI3EcD3M7OzhHL4dxuN16vl6ysrBHjigMTh4ODg0awDeE707HlRD6fz7iI8Hg8xsWIBMjHkYENG8DhCH8BlKJ1715Qioy0NHA60QIB6trajMc90aukyO/GP6C0uJjm9vb96zY00D40RHdfH+np6UwrK8Pb3x/OfChFc20tJpMJTddxud2gFF2NjeQkJ7Nr1y78gQDV1dW4PR68TicJViteny9unzA8QO7q6or7AA8NDQ2bscxut+Pz+fB6vfT395Ofn09nZ2dcRtHj8ZCWlmYEiqMFx2azGZfLRUNDA+np6UZwHlvOEdXe3h7XOTAa6B2YrYx+MaNf/tgSgqjW1lZCoRBZWVlomkZnZydDQ0O4XK64q9nogSf2QBV9ndH3Ifr+HJhpdTmdeFwu0DQCwSDZmZk4HQ580YOSpjF31ixqd+6k0+EIT16h6wRDIUhODv+uaaDrBDwe6mtqIBQ6+D9NIxQMsv399wkGAtiUwu/10qBpxjoBkwk9L4/eoSFCXV3g89EdCDAYCoUD2kCAYGoqdHQQ9PvDbfH5GHS5CHq9ZGsa9UNDOCInLiMQHqGEw/hbATWAF8LZnYwMHNnZ6BkZMHMmtowM/Glp7MnNZdEpp4DTCXl54brhA25D5pWWkhNTvhI1a9YskpOTjbsJ0TslJpOJ7OzsiR/j+DDY7XbsN96IeflyPM89B9/61rFu0pTg/tOf0FtbKfzlL8mJZNFONNHgKHaIs9i+FFEH9tWIDZBjO4ubTCZj3dgLzGj2MnqRnpaWRn5+vpERjWam26LlD5mZ4X9AYqR8Iipx8WIwmVAdHdDaSnJWFlRUYKmpCQfIug5+P+lJSdhDIVobGsJTbUeOQTMzMkgHGmtrweNhYWYmDZ2d9A0OQiBAn98Pfj8JoVD4vODzhS/ofT5wONjY1kZSMBj+3ecjOxjE4/MRDASI7Y4e6dlAEhCbZ20E4s9CYYea19C4lFeKFKsVp8kEJhOlFgsDZjMOpcBkArOZerMZm8VCQCmUyYTbbGafyYQym1FmM5rJRIrVit1spjI5mRqPJ3zsNJnoNJsxJSeD349mNtNkMmHPzAx30vR4wGQiYDYb62M2g1IkJyYyFAhQb7ORkZhIp9uNphTO3Fw6XK7we6gUuslEamIiDr8fTCZMZjMBQFuzht09PTj9/vBrnDYNb08PKSaTsWxmSQm7OjrCcYnJtP9/kwk98rNTKerXrw//vZWivakJz9CQsZ5bKXKKisKjsxxHpnSAbPrWt8K3gw8Qzc+NdZyHWYRvPwEkAh6gD4hWVQ0CTZHlFkBF9pEJOMHoiRwE6oDoteN29n9Bs4gEJxGW6GORD6RPKQJK0QPhQD7ybw/EBfMVZhOORPC5YR8QAvwmE10xwbEFaAO6leLAYoUykwkf0Bkt7Yhs38v+q/8RKTXs/fQpxT5g4IA6qk5gQCl8keVuk4k0kyk87mxkWx6gHkizWOjSNNpj2u+E8AEZ2KhpmHQdLRK8xv7LAVo1DTSN7uhzIgGtAnYe0F474b9vNOuRS/hAeyAP4b+hHnkODD/4lrL/YB0r+neN/t0PnGfOSvjzMkj4oB7Lr5SRPdlnt4ezKFYrHUlJ9JrNeCMZmPSsLAaTksKPJyaGe7wnJmJKTsaWmor3gOWpOTk4dJ1QSgqkpUEkg9UW83czJyaGD9RAaMECiNTAlZaWGrV37e3tBIPBUW+L22w2TCYTaWlpk2OWsC99iaTbb8f13/9N/2c/S2p2Ng6Hg0AgEFe/Pp50Xae1tZWCgoJR6/T7+/uxRG57n1D6+tj54x/DkiUkXnXVsW7NhCktLTU66x6OxMREsrKyho3eM5pp06YB4c9Udna28XmJZqRNJhPJyckj3jWNTUJEy7sgHNT39PQYfSuM2/pKgd2OvaCAgoICgpGkjFKKqqoqo73pe/aES/EqK0lob4eYO7xWq5XplZXsiNx1ysjIIBgMGllbN+FjSGlpKSkpKTQ2NuJxu3GlpEBzc/j8EQySk5ZGWV4eGzdvhmAQi64T9PkYCgbDSYJgkAy7nYHBQSy6TqbdTndfn/H82H8eux0GByEYJDE5Gfr7IRQiLycH3eHAMTgYPqeEQgQ1jaCmYdd1ss1m2txuCIXQQyH0yDoeTSNBhfAHnMwKaAy4XHT5fKBpDGhaeL+RdTt1fX+bI8sKdJ2O6DIgSdMY0jQ8hM9LUY3sj3OiMoFoHjiFcPDfQOR8GhGNT3JjlqcCJcTfDRiJd5SfoxKqq+E4m4BpSgfIsx94gA1btw4LnFyR/3tg2GMcsKw8O5vU5GSCwSDm1lbKcnLY3dVFbyTQiv4biPyfarMRCIUI+P1YUlKwRupvouv5YrYfjNmnPTk5nO2OLMtPTcUMNA0MYDWZCIRCbB2hrXrM73MzM9ll7+dZy25OayugIBjOMvQoZayvgLK0NPYNDg4LjgFy8/LwBoN0RuuuIs+z2mx4R5s2WNfJTUyk+4ADbexcQYpwQJmfmEhQ0+iNKRlxm80EU1JgcJDZ6ensGRwkFNnviBP+6jrJViuuUAiUQote0QLzcnLo8nrp8XpRqanMstnYNTAw7K7AnLw8ant69l8RA5asLBKt1vDtOqUoKy0NP9baajzPZDbj13W2Rfa5oKgIq8VCX29v+KAVucJPKy+H9vb9V/uRf+mZmaSmptLQ3Y3Jag1feFksTJ82jZTUVDzBILtbWujPygKHA2tiIvnFxbR0d4PFYmTFY294HXgJ2F9Whh65I5CcnGyU9JitVrLz8miNuWgsLS3F5/cx1NFpnBTtdvuwW4D5+fk0NDQA+zNgM2bMiMuC+f1+Ojs7426LR28Bpqenx2XAoreRYzsxHncsFpJvvZWOL3+ZfbfcAv/xH8ZDIwXI/f39pKWlxdU6Ru/QjNT3QNM0o2Qoenu1r6/PuNsz2mgv0XKd2F720X4Rx+vECV6vl87OTsrKykbu6BkKwc9+Fs5A/fCHJB2nr2MknoAHu8WOSY1tdKO0tLQxdbI9kMlkoqKi4rCfF+1gHBVbYhi9q5abm4vD4cBmszE0NITdbqe8vBxN0+LuvCUkJLBgwQLj94KCAuPz6vF4jM9+amoqnZ2dmM3muGA+dvjO6HZtNhuJiYlMnz49ro42OzubjIwMNmzYYCxLTEw0jjmpqanhoUGdThJzctB1Ha/XS8GCBSi7nWmR9zg9PT1u+MnoqEzR72t/fz80HpiOCIvel0xLSyNz5kzqN24MJwDmzSNP10nzeo1+HdHjYlJmJrb0dIgcL2OFgCd7XgI73HbubSSFQnRt3gzEB7hAXCfLGTNmGOU2Q7W1RnbfVlaGtb2dgN8Puo5ZKULBIIFofBJJEKHrJFRUhIfU1DTSCwsZammhP2Y9s1L4IwF6Qn4+ZbqONVKuk69p9OzeHU5sxG47Zh+BmGWumP0a+z/I2NbHypQOkLnoIspOOskYjeBImGfMgIwMLEB1ZFlC5ANaWlpKc/P+PKHdbqds5sxwva3bjaW4GIvLtb8HPxi1scnJyXHlCInTp4c7TRD+4udFOt/lEq7/ie24N5Jp06aRlJPDUOMqzPVvk5l8IZjC+c24rlpKkVpVBTG9VAsLC0lISAhnNGw2bJoGmzaRlJREUVERe/bsIb4CabjSk07C3NZGcnIydrud+vp6IzORnp5OWloazc3NpESCqt7IQS9a1+UqLobWVkzz5jJDhQh6gnF1uxkZGSQlJdHV1UUwGCQpN5fc5GQjaDP+BosXk+Vy0bNrF4mVlaSmpbHA56Ozs9MotSgtLSUhJ2fY1ax1xgyS09Nh48bwgkgAktvUZDw3NXKwjdrO/r9pZmamUU5iW7x4xKtlPSuL9NJSkvfsoaioiN27d5OSkkLm7NkMeAf4w9o/cHLmyeFMcXY2C086CaUUQ6EQQ0NDJCcnU1BQMGys4VixJTdKKSorK6mtrcVsNpObm8vQ0JBRU2axWPjN2t9QpIo4p+AcKisrSUxMZOvWrXHbzM7Oxu/309bWZnwWD+zhXVxcTF5eHlarlV29u8hNymXBggXDJgeB8Ml5pDFFjzcpl14KX/gCPPEETJsGn/scEO6HYLPZjKDf5/Oxb98+o+Ns1Pbt2wkGgyxevHjYtjs7O+np6SEUChkBUzAYpM3dRg6jT2Qw4B/AovYf2kOhEG1tbbS1tY04DGUwGKSxsZFp06bFBSs9PT37v/dHSdM0lFKjjnIyMDBAT08POTk5w4L4/r4+uOMOWLMGfvITSs48c0LGdfUEPKxpWcP8vPnkJe+/wAlqQfwhP0nWke4XHVwgFODX7/+aU4tP5eLKi8ezuQf1+LbHsZgsXDP/msN+bvS7mJycTFpaGi6Xi8LCQmO826GhIVJSUsY0cktmZiaZmZnGKAnRu0fR5x4s0x39HJSWlsZdaEeTANHvxNy5c6mtrQXC5wFN13D6nWRmZtLc3Izf7ycnJ4eCggIGBgaM1xfbQS4nJ8c4ZkbL+aJ9WaKZ9cLCwrg+NbEqKipQSsXNkqiUIjExkdLSUgoLC9m3bx+OyKyf0eOC3W4nEAjElTfOzZ1L7VCt8T5VVVVRX1+Pw+EgMTFxxIx+7PszZ84c6urqcLlcRiftQKSUwh5TGhN7PgKw5ueHO2sCSeXlLJ43j127dhlxSFZkMhqn00lSzLB3UeaEhHBt92FKTk7GYrGQcgQXdxNtyk+9kpubS2lpKdOmTRt2JQ3hL9/ChQvjTiqaruEP+WlwNrBnYHit7bRp05g+fXpcFqmystIYwzjKYrHEXX1nZWUZvUYP7GhmS7DR6m5F13UqKytxBpz0uHtw+Bz8o/4fBLT4GyZWq5XU1FRsNhvz58/Hawvf1AiEApiUibTE+AxF9GBht9vjDlqVlZUUFRWRlZVlfKlNJhMzZ86ksrKS9PT0Ucdfjq0bVkpRXFxMRkYGPuVjrydcoF9YWMjMmTPJy8tj8eLFpKSFv3TR9y76f2trK5pVY1XrKn675rfDapILCwspLCw02r62ey0eq4fp06fH1a6aTCZSU1NZtGiRcYC12+1kZ2ej6zoNzgZyc3NH7PEbIIDT72TGjBnG7UkIH8Cjvc1Huq0dzcjEvk/R9/DA6Zvz8vKwWCzMmTOHtLQ0qqqqjHV29uwkoAWM9y52vM3YA+SB701OTk5cZsnj8ZCTk4Pdbo8bUi+a3Zw1a9b+gf1VeOSRnYM7UUqRlpaG1WqlsrJy2NBIB44qYjab2di+kdtW3oYn4DFGpNB0jedrn+fNfW9iiWS9jwVN1whqh6oyPLjU1FT47nfhzDPhV7/CdM89EAhQV1fHtm3bjPWiJSMHdnDx+/3DRhOJfazZ1cyQb8jYxpq6NbzU/BKbuke/FflU/VOs2LfCOJnHduqM7eAb1dXVxcDAQFySIBQK0djYSF1d3bD1vV4vtbW1Yx6XVtd1ampqRuyXEAyGL3QHBgfo9/UP64GP18u+66+HZ54h9frrqfrZzyZsHHIdndVNq9naGX/x9/i2x/nN+785om36Q+Gs4fq29UfdvsOxq3cXO7p3HHrFEaSnpzNv3jyys7OxWq3MnDkTq9VqDBuanp5+yOBY13UaBxrxBMLBXF5eHnPnzjWCqm53N32+voNuJzExkcWLFxvHNl3XeWPvG6QUpVBdXW0co5OSkpgzZw4ZGRlkZWXxXuN73PnhnXg1L1ok/ZOQkIDdbjc+O7quG3+bqPz8fFSSYmP7xrjldrudxYsXU1RUZHQ0O3A0negxNBrsHchisVBZWUlZWRkFBQWkpKQwbdo05s6dO6yjaWZS+NzvD/lx+p04gg7jfDvSXaOZlTPxBDxoukZ9f71xnHUEHHS7u+PeY5PJxIwZM5g+fTrl5eVx57HYWCQ6qtOcOXOM809CQgKzZs2iqqpqWHDsD/lZ07Um/J4e8PLnzZvHSSedNOzCNzoV+4wZM5g5c+ZxOVTmlA+Qo3JycsjOzqaiooLq6mojqIlmgaKByKxZs/Bn+Xmy4Uleb32d53c/D0DjQCMOn4Medw9JSUlGgFtRUcH06dNJS0sblvWwWCzGSWbatGlUVFSQmpoad1CIWtm8kpebX6bL24VSij+u+yP3rL2HhoEGdvfvJqc4Pkg1mUxUVlaycOFCNnVv4i8b/8Lre17nvab30HSN1W2r49bPzc1l3rx5xpdh7ty5zJs3DwcO/rLxL8MOJunp6ehKZ2/fXgY8A8ZyW5qNrf1b0XXd2EZpZSntjv1X3o9teYz3Ot/DF/LFfWneqn+L21fdjqZrlJSUUF1dHfdFfLv7bda0rAn/EvNdqqysNILC4uJi/CE/G3o28NCmh8jMzKS8vDw8lI3uoNfda7z3sWw2G3sce3i99XVe2f1KXOA0e/ZsKisrebjmYd5peIeMjIy4YDca/FdUVAy7tR47/mRs8BzUgqSlpZGRkUFBQQGzZs1iyZIl1A3VGW2E8EEk2tbpmZGDc3K60eaonJwc8vLyKCgoIDExMe62vMViISsrK2561sTERBYsWGBcRM2dOzduPO7oCcBmjZQ6JBXF7S8tLY3i4mJMJpOx/MADnNls5sPmDwGMIA/A6XfiCXrY17+PhoEGJkrTYBNv7XsLX3DkYf+eq32O21fdftBttDvaRxxrNMpkMpGYmhrOcF5xBdMefhg+/3n4+9/B5zN6iXs8Hjb0bsAZcBIMBo2guN5Rz+6h8BBcQ0NDcUM67ujZwcqOlcbnob29nX5/OOMz6NsfaPf39xu3b4PBIDNSZ5BmTaOtrc3oGQ/7O6xGRUcL8YV8rOpchTe4vzJwcHCQ7f3baXXHF+hEA2mHy2GMWx7dVjQDF72VHbutpsEm9nbtHXYx0NraSn9/P2/Xv83TDU/T3h8+Tni9XrY/9BDOk0+GF1+k8VtXU/Nvl0zoDF1/3vBnQnqIQW/8Rcy+/vCdqiO5mIoeNy+YfsHRN/AwZSRkjPrYRy0f0e3qHrbcG/Si6/pRD5/nCrh4aPNDcRcb0WN0l6uLh7Y/xDMNz4xaQhUIBWhztOHX9p93fCEfHzR/wKPbHh12rElOTmbGjBmYTCYjWfTbD39LkytcSnbg63lj7xv893v/TUjb3zG5pKSEt/vf5qVdLxEIRYbU1ELUdtca526lFL2+Xrb3bae0tJTc3FymT59OXU8drUPD+zMBbGjbwDM1zxgjj0QvNHJycjCbzXHnuDZ3Gx+0fwDAvevv5Y4P7uD3H/3e6Jtx4Oc/JSWFt1re4v4N97OudR2PbHmEff37UErxTsc7PLjtQSwp8ee6jIwMMjMzh00uFvuexp4fMzIyqKysNGbrtVqt+EN+ulxdOHwOBrwDrGlZw8aejTzb+CzPdzxP5axKI/CPJnIsFgu6rlNeXs7s2bOZM2cOBQUFx/WsexIgHyArK4v6wXru33U/fb7wsFxBLUjFjApjrnnNrJGYlkhSUhIWiwWHz8FDmx/itx/+lnvW3sPmjs1x2xtt2LGPOj7ilfZX0HU97oo0tvYLwsHzSYXh281/b/o7Wzq2cFLhSSgUTr+TkB6iKCf+QBN7OzP6/4ctHxqP7/XtjTvxJyUlkZiYSIOzgX5Pv/H7Ow3v0DLUQodzf8WwO+Cmy9VFj7uHx7Y+hjvRTWZmJlarlXd73+XDrg9xBcO3WhITE/njxj9y34b7jOcnWBLCs9zNmRv3uj9q+QiAQW94eJgDx/ANqpjh7QIu5s2bR3l5eVy9XkZGBmWzy7Db7YT0/Qe/6upqarQa/rDuDwRCAbxBL0O+Ier7w8PLWa1WND188l7Xto439r5BeXm5MSj7682v4wq46HHvn6VqXes64/lKKbKysmh3tlM6rZS5c+cya9YsSkpKsFgsceNf6rrO7atu59U9r6LpGvmF+aSmptIy1MKLdS8Oy2BE5SblYjFZSE5JxmazhS9SdJ2gFkQpRWlpKU7NicPvMDIEaWlpRtB+YI1v02ATL+x8gaAWxJ5gj7uAKykpCde1paRSklFCckJy3DA9UYsWLTJqDmMz1w3uBpqdzRSkhLPMOUk5xmuPZra8QS8fNH9w0AD0aDQONLK6afWotZ9drnDG9PU9r/PPff8c9viu3l3ct+E+1rauPeh+5syZw8LFi6l85BHefeRHvDbbD7ffDhdcQMPVV8Odd9LyxvOsb1rFa82vsGXLFmNa3Tfa3uDt9reB8Nire/fupba2Fl3XaRpqIqSHyLPnEQgEcDqd+ELhYP+0vNPQdZ1QKMS+ffvYtWuXEQCn29JxBB2E9PBQgU6Pk7fa3uL+XffT7+7H6XSyYcMGdu/eTX9/P5t7NlM7UMvGzo1omkZ7eztd/V283/U+/2j5h/H3cbvd7N27l00Nm/jLrr/Q3N/M1q1bGRoaYs+ePcaUw62trdTU1NDR0UEwGKR7oJsXml7gucbnhg2D1TvQy5ruNXR6w+PMaoMuePppOi+4AN9Xv8qe7m646y56r1rGloGth/1Z2dmz0/g7H8yO7h30e8MXH9u6thnfa4BLZ10KQI+7h1WNq+h0do64jZFEA+TRglVv0MuAd4Ad3Tt4uubpMb++Xb27jCBO07W4i8Do8iWFw2fGjK7/6p5X+fPGPwORC5qgl0AowK9W/4qVDSsPuf8uVxdO//6/ZVAL8sbeN4yLueh7/uqeV2kZ2t99S9d1/rjuj5hMJoqKioxjt8vvYnvXdrxBLyEtxMb2jdy/4X6aB/eXKEYvXKLH6dHEtis6rtyBAXL0XOgKxJcEzM+dH7eNlQ0rearmKeoHwp8Hs9nMc43PsbJtJbm5uZSVlZGZmckru19hbetaHD4HTYPxIz69tOslarprjL9tNNM74B0AwpO+5ObmUlVVRVJ+UrhDDtDniZ94BYaPtGS1WkmxpeD0O43PWmFKIQ/veph2dzvTs6YzvWi6cQdxpNKk2bNnE0oLcccHd+AJhjP+ByaQYhN8IS3Er1f/mj+u+yO//fC3vF3/NoFQgNTUVOypdix2C6kpqVRWVjJt2jQCesB4715qeYm71t9FSkrKqPMYHE8mrAZZKfUp4P8I5/r+ouv6ryZqX0cqpIXY1rWN2dmz6XH3UJoeHgt3e9d2zGYzXd7wl/yp7U+xu283Pzzzh2xs34hJmUhISCAhIYHqgmpqumvitrumZQ3VBdXD9jfoHaSutw5TwIRCsap5FVarlfzKfF7Z+wrLZiwz6txib/Hn5OTQ5+kjJSWFQCDAzp6dlGeUo6MbB6KtXVuxEr4NFq33i1qUv4jX9rwW15aklCTmLZyHFtg/7nMgFOC52ueoyq/iklmXAHDOtHPY07fHOADrus4T256geagZqyn8ZfXrfiN4eu398H5C+vCJSDwBDwEtQJI1iaLUIjLT4i8cvrDgC6zYtoJeTy+ZieHHNF0jpIcwYcKjebCYwh9Zp99JVnpW3IFP13WGfEMM+cOZsXPLzzUeM5lMdLvDGZMuVxcPbHrAOND+++n/Tpo9DZMyGe+7O+AmOzubQe8gWzu3GifPpsEm/rnvn5xTfg7/2P0PACoyKvj8gs/T7mjnkS2PcMH0Czgz50xj3wd2WmlxtJCj5dAy1MJztc+xvWs7n5v3Od7c+yY2s41zys9hJN3ubpKsSeSk5bCwbCEAdT11PLH9CX5w5g+wmW38Yd0fSLOn8e+n/7tRChF1YIC8tmEt27u2s6kjfLv+tnNvA8AX9DHkGyI3I5cuVxd+/Jw852QjAI6egK1ma9zn1GazGZOHrF67GjrDn4PcpFzMpnB2YmfPzrjP4q7eXbQMtVCaXoqu6+jowwJab9DLr1b/is/O+SzFacX4gj6K04qNv3nc5DOhAEO+IbKTso2LmU5XJyVpw2erPGfaOTyz4xnjZDk9czoVmRXs7NnJzp6dFKeG97G+bT2nlpwKhD+PgVAAu2V/WUg0i26z2dg+LYHm5ZfSfGkxye+tJWvVBjzvvENnOlgWQ68CffuDeDIyCeTkUFzYRWt6CM/L14Y74ZrNuM1mBjMz8Vh2EbQM0PFqB349iZAJ7Ll9ZGt9qA/vYXMohMVsxqn8BLGy0WwlPTWJjcF3yEpOZnD7YzRpKXSaXew1bwalcPevoKvfbwzFFMjNRffvhsFGfIMfMdAIbT097NLawNeJrhS+NWsIKsXOpiY2eesY1N3gc7KraS052aeyOzLGLGYzPa2t9EeGsuzr6wsHywM1xnGpx9FDWkoKOBzovb188O7DbO/bijbQT0ZTL9pLD9EVDNKbnw/f+Q6hL3wBEhJweldBIBzQJFuT8Yf8cX+DWEEtyI7uHSzMW8iT258E4JJZl7C0aKmxTo+7hzf3vsmVc6/EbrHzbsO7ACRaEvEEPTyy5RHj+5BiC2f4+jx9vF3/Nqm2VPJTRi/z6HH3kJ2YjVKKJGsSFRkV1A/UMzd3Lr6gj3ZnO+UZ5QBs7dzKK7tfMZ7rCXoOWevc5eri8W2PszBvIVfNu4rX97xOTXcN//mJ/zRe/4zMGUbQazXHB1UmZeKC6Rfw1r63eHL7k+Ql57GqcZVRr6yUYsA7cNAM9B/X/REIHzPebXiXdxreAaDX3csVc67g0S2PGus2DTbR7eqmuqDaOI4CpNv3J0de2vUSO3vC4wZ9YcEXjCRB7J2SVHv4DpzNbMMf8uMP+Y2/TazYzHhWfhbTM6fj1/1YdItxrMhLzsMb9A57fmV2JR+1fkSvp5cES4KRGHL4HOi6TmpqKimpKSQlJRl/K13XcfqdbOncwpbOcN+dLy74IrNzwkOWlaSVYDXtL4dzB9w8uuVRzpp2Fp+s+CRms9kondDMw4P/k4tONn6OPd6Wl5djS7Lx6Efh97rX04vNbCPBkgC2cL+Q7NRweeFotd6b2jdhUiY+6vsIp99Jk97E7LTZNA024Q64mZs7fHjBvf1745JPu3p38bXFX+O9pvdQVkWCJYF2Zzv+kJ++QB8vvv8i/7r0X8nOzqbd3U5u8v67qp6Ah15P74jH5+PBhATISikz8AdgGeHRP9YppV7Udf3IiqImyLuN77KqcZXx+2klpxHSQmQmZJKXl8e82fPY2bOT3X3hW6APbX4oLpOal5xHr7uXLR37O7SdWXYmq5tW0+/pJ9mWzJ6+PczLnQdA81Azr+x+hevmX4enz0NhqJAedw/P7HiGId8QCZYELpp5EfX99fR6elGRS8mXd71MfX+9cbWdnpDOq3teBTCuznf17uJL1V/C5XaxqWYTjzU+xhVJV3DOtHOwW+zYzXZ8IR9Wk5Vzy8/lzX1v4gl5yE7ZX5/b5erCH/JT213LgrwFlGeUk2YP7/Oj1o8wm8x0OjtpHgpf1Qe0ADazjXca3mFW9iwKUwspTCmkK62LZkszL9a9SJ+nj+mZ09nXv491bet4uz6cLUu3p+P0O0mxpeANekmwJBjZxuiVc6ezkz9v/DNnZp1Jgid+6KK4LEHEOw3vsKpxFTefejP/dsq/kZ6w/wAcm3WIZk6i2h3tpNnTKKsoI0/Pw2a2GVmiHd07eH3v69jN+0/GfZ4+fr361wDMyZnDzp6dPLn9SSMgiy2RgPhbV4lZiby6O/y3S7Im0eYID2P0tx1/AyA/Od/ICNX11lGWXmacqN6ufxurycoZZWcY24sedBsHGo0LvNhyhlixgaTNZsOkTMbJBsK39K6ceyXvNb7Htq5t/Oycn1HfX4/T7+SU4lOM596/4X78IT+3nH6LsSyawchKzMJkMtHv7cekTFRmV7KjewftjnYKUwvjsnkXzriQN/a+waBvkOxANq/sfoW9fXv5f2f8P6Otve5e7l1/LxAOJt7a9xYOv4NvLf0WydZk3twXDnKietw93LfhPm48+UbjfWgabBp2AA6Ewp9dgMtnX84LdS/QMtRCRWYFjQONbOnYwhVzrmDIN8TqptUEtSAmZeL+DfczPXM6y6Yv4+36tylJK2F2zmx0Xef95veZmzuX9s52XsluxXp1OV/53s/otdopeP99PufZzZNt79KYnYFlyEnKoEbWQIDugIMd61eCptFjD9CWEsDcasI1y0soI8Tbjlo+t0Hx0qIQ5QGNDAUf9HzAwhbwKlhxDkzvhmU10JwAnBbOSnTtfYvMZvBkA+HrKVo2rUILwNoKKOkHfyc4CoGZULn2DQZ9sKkYUr1gnQeJXmi75QVsQHsGrKsOb8cOVGyCv86DOe3gTICCwfDPAE1ZYNEVvWnhUVqSpoPLrNj3k8cpqHeRRHi4wsZTYIEf/DYTztJCmr98CfrSZbB0Kdl5eUanqoGhgXCZlM/BqsZVOP3OuA5onc5O+r39zM6ezf+t+T8cfgeptv0lTS/vepnyjHLern+by2Zfxl+3/pUB7wB3rbmLK+ZcgcPvYH7ufJKsSaxrWweEEyhmk5nVTavjvlexWcdtndtYmL/Q+D16LLhm/jXMy51Hqj2VgpQCPmr9iItnXswLdS+wo3sHPzrrR6xuWm2cf9LsaQz5hnD5XYcMkKPHR7vFjjfopdXRGhfoJVoTWVK0hKdrnmZ2zmzK0sPB18b2jZSllxHSwhet0fZGA9NoOdTKhpXs7t3NN5Z8Y8T9R+uKAR7a9BDtznampU+jcbCRut66YTXcb+x9A4BFBYvisu+xwW/sceGZmmeMACz2WJZkTeLmU2/GbDLzTM0z7O7bzU/O/omRNAGMO2pR3pCXzMxM7l1/L+n2dL648ItAOEitzKrEpExGmYXZZDbe279u/Ss5STkkW8MlgP3efu788E7On36+URIRfd6re14lpIdIsCQYZUpPbH+Cm069iTZHGy1DLVTl7x+z++36t9HR4zLrUU6/k3R7OpfMuoQV21YA4bsPmq7h8ru4b8N92AZtfGrWp8jOzo7bRutQK/6Qn1d2v0JhaiEdzg6aBpv43Zrf8S8L/iU8bF9WMm/sfYPzK87HbDLzQt0LAMaxcN6secxIm8Hrza/TOtRqBMj9nn4GfYOUZ5Szs2cnCZYE5ufOZ0P7BvwhP09uf5L85Hy63d14gh7u33A/sL8s8NU9r/K5eZ+jsLAwXKbi7uWJ7U+gUHS7u5mXO4/cpFzOqzhv2HtyLE1UBvkUYI+u6/sAlFJPApcDx1WAfGD9Y7S+9bunfZd3Gt5BQzMyEKeXnD5s/WgGyqzMXDb7Mp7f+Xz46o3wifofu//Bnr49JFuTWV69nB53DwrFtr5tlKWXsbxiOXd8cIcR7H3Y8iEL8xfyyJZHAPhG1TfY2beT9sF2Y7tA3O2/aFa0zxPu8PBY7WPs6dxDSloKKxtWYjfbeX3v6wB8uvLTnFx0slFT5wq4yCabQCjAim0rjH24Ai7qeupIs6cZJ4c9fXvY0xffyUahsJvt+EN+Xqh7ga8t/hqfrPgkZell4YyCCyqzKrls9mW8ue/NuIuLQd8gNV01LC1aysObH6bD2UFhSiF2s93ILGQmZhLSQujJOrOmz+K1tfszj0/XPM3igsVcPudyY1n0ZOMKuMhNyqXT2YnNbMMdcPP8zueH/f1PLjqZ9W3rqemuYWfPTlJsKZhMJvwhP93ubrZ2bjWCbF/Ix+klp3NO+Tns7dtr3DX41MxPUddTF/fZiF5UxOr39LOyYaWROYoG1gBnlZ2F0+9kU8cmOl2d/Gr1ryjPKMcf8rO3by+fnftZVjetZmfPTjITMo2Mf7uz3TjRPbH9CW4+9WY+UfoJ1rauRdd1Bn2D+EN+o0d+UAsyc/ZM3A43rc5WtnZuJSsxyzgpdDg7WN20mqLUIrZ1beOd+nd4r+k9IJxZg/BJIfqZi80yfdD8ASEtFNdTv9fTyzfKv8GaljXs699HYWqhcaGSk5TDwryFvLH3DTqcHcYFAoS/lwEt3CGypqvGqCk8e9rZPLT5ISAczOcl59Hl6uKiGReRbAufyKLZ56bBJiPwd/mH96ze07eHp2qeAsIZ6oyEDDpdnXiDXhKtieiET7R5yXno6Dy65VHyk/PpcHYYmbDVTauNi7qmwSbeb36faenTjGlxzWYzT9Q/wdfmfo3AKUsom34R2SsTed0XvoDKr/wqO/c+RkALoP3sG9QN1rGmfw3JycmUpF+At3MVeDoZNFl40pKMV3mpXHo1XTvfp8kTYGHhRbj8Q9DwJPt0HX3adXh93dD6EhdVX0VtVx33N28h05IG/gHQdfq/dRa7fQ300kO908nMzMsoCbk4z9eDuq6Itd5m1rrWUWku4qbUU7AphfOLTurNfbzUv9oYkqnAnkn32am4tL04AjnsNXXRZDax2WNiuimdWtWFzx9A1zXmeTL5f/pMGp0DmE8xUXt+GnOmT8eXkozD+wblS66gxtJNMOhhvUenpCCcrU9OTqasrAwdHdUZvmBy+B3s6dtjnNCjarpreL/pfc6edjYOf3gEln5vP/Nz5xvf1ZUNK9nRvYOClALj9rY36DWO8QUpBczOmW0EyJ6ghxRbCh3ODk4vOR13INyBMPq58gQ8vFD3AlmJWcYdjW2d24zPw7zcefhDfpRSaLrGf737X8zLnUeKLYWN7RvjkjPRIO/Fuhf58qIvYzVZGfQNGt8vd8BN02ATZellxgX4BdMv4L3G94wArN8Tzs6m2lONgPnBTQ/y3dO+i9Vk5cW6Fzmt5LT9/Tgibjr1Ju5dfy/NQ80kWhKNpMWWji10u7uH1U9HL4T7PH00DobrzkvSwiNcNAw08E7DO9x6zq14gh6jc2NOUg5Ov3NYudKHzR8y6Bukz9PHqcWn8lHrR3HZyVWNq2h3tHP5nMvpcfdgVmZK00uNgLqup475eeGyiF53L/dvuD+uw7o74CYQCtDl6mJWdrgPhq7rzMudR5ujjdtW3gbAVXOvYkHeAt7c+6bx3B53D0tmLGFB3gJK00tZ2bCSv+/8OwA3nnwj7oCbRGui8ZrK0svY1bt/NKnff/R74+etnVuZmzOXgpQC4wJiwDvAAxsfYEnREuOOsyvgIsWWwsysmXzvE9/jgU0P8Oa+N3lz35tcMeeKcKyQCI83P85Xc75qfI5hfyywrm0d2YnhxFeqLZVWRyubOjdRMa2CV+pfodXRyuzs2cPO54vyF7GwcCFP1Txl1BYHtSDv1L/D+83vA/C9T3yPblc3BSkF9Hn6SLImcdnsy3hy+5PMyJxBqj01brufmvkp/rjujzQMNPBc7XNkJ2VTnFrMhvYNceWKO7p3GGWkx5OJCpCLiZ8HoQU4dYL2dcS+sugr3L7qdgpTCml37u9EFtJC3HTqTXEn1oyEDGZmzYxbTynFgrwFnFV2lnE1vLNnJ2eWnUm7s934oLgCLlY2rKSmu4ZUW/gD5Al4WJS/iB+f9WOsZqvxRb1/w/0oFDo6f966P9O5uGAxc3Lm8M/6f9Lp6qQotYgzy87E5Xexrm0dXa4uartr6XZ3x9X1RoM1u9luZAFTbCmYVfhqucPZQZerKy7Am5k1kw9bPoyrWY666dSbSLQk8vi2xzGbzJiUCYffQV5yHh80f8DKhpVGeQbA7r7d7O7bzZVzr+SZmmeA/cFhw0CDkQmHcMD3idJPUJldyab2TcbVbbuznVNLTuWiGRfR7+3nkxWf5MFND7KpYxMzs2aSnpBuBI2frvw0Hc4O1rSsYXtXeLKKVFuqcdIsTCnkgukX8NjWx8hKzOKimRcZt/wzE/aXfOQk5fDCzhfisrXJtmQSLAlGVuPKuVeSkZARdzv/Cwu+wJyc4VO41nTXsKVzixFQzcicYQTIZellRlY+yZqEO+CmYaCBGZkz2NG9gwRLAh+1huuzTcrEXWvu4sq5V/Lw5ofj9pFkTSIrMQtN19jXv4/Htj4GwM2n3kz9QD3vN71Pn6ePn53zM/7r3f8Chte5be3capRQRINjgDs/vDOunRDO+piUiXZHO3U9dcbJPDaDE802Of1O9vbt5bSS08hPySfNnkayLZmvn/R1/rLxL3Ft2Nu/17gw+0zlZ9jbv9d4/03KxOzs2dT21BonyZd2vcTs7Nm0DLVwTvk5JFoS2dmz06jX3dW7ixlZM4zg1hv0Uj9Qj0Jx/eLryU/Op36gnk5nJ3d9eJcRrNzxwR1cOONCLppxEa/vfd2oLcxIyOC+9feho9Ph7OCZHc8Yr3l2zmwaBxtJSEhA13V8uo8uZxcvtrzIzTNv5rKTLuNv2/+Gw+Gg29tNQAuQk5CDpmus6lxFVlYWVqsVZ8DJnPQ5aBaNbkc3PpOP7KxsKjIq2Ju9l93du8kqzmOw2WXMVPhg+1NcsfgKUrzZVExfzI5QG7mmaXR3d2NNziQQCODPy+LSknN5uvVphtraGCrLJSdhLk5XC016kAL7ORR2hGj09ZJzwRX4fD762ttpcW3H0tGFpmmkmFO46oyv89cdf8Xan4JKmo490ExpTikNnQ20Z2aS5PbjHeojISGB/tRMCpb9F4N1dfQM9rBraBe5s8/HpbnQ3t9OwaxqPlVUzcqGlaxuWs1e114K7AU0OBvY7d0dd8HZ5eqiz9PHBdMvYMA7QE1XDZXZlWxs30hID4U70SZkMOQbot3RbgQQ83PnG8eD6HE5eoEF4RP5aSWnAfCDM3+ASZlY17qOiswKAlqABEuCUTsf/X70uHsIakHqeusY8g0xN3eukf1d07KG2u5aMhMz446tO7p3UJhSyPtN78d95qPfw+ahZt5vep/c5Fz+tuNvfLry0+GMb3IuT25/kjR7GvNz55NsTd5/Oz3yvd3auZVkazKnFJ9i1N5rusbv1vzOCD6ixy6LyWJ8ZhMtiUxLn8buvt0UphaSYEmgebCZDmcHH7V+xCdKPxGX1U5PSOdbS7/Fo1seNTKYBSkFnFF2Bo9tecw4RyZZk4w7l3az3bgYjjqz7EwjeTMjcwaLCxezrWsb83LnkWZPY1XjKoJakN19u/m/Nf9HQAuQaEnkjLIz+PKiL3Pv+nv5+86/MztnNhvaNuAOuPGFfHznlO8w5BuitruWGVkzaHO0hb9fjavY3LGZq+ddzYUzLozroPts7bPU9dYR1IIUpBQY7azIrCA/OZ+7195trJuRkMG2rm2sblrNjSffaCwvSSsJ38ld+CWyk8J3xGKDxegFuUmZjLuqfZ4+moea8Yf8JFuTMSszafZwvW+yLZmr511t9N858K7p+rb1xnnn7GlnU5BSgMPn4NU9r9LrCV9EXTHnCv6w7g+83/y+EeQCrG1da1w4nl9xPmdNO8soFdnVu4tp6dPQ0VnTsibueSu2rWBp0VLsZjvP7Nh/Pj9n2jnkJOWwoX3/mNQH6vf0882l3ySkhfhn/f4+H9HzczTZczyZqAB5pEEq43ofKKVuAG6A4VNmflwsJguVWZXYLfa4wPfutXcbt4wg/IV4r+k95uXOM66c/3Xpv/LXrX/l05WfJj8ln6zELObmzGXZjGVkJmRy99q7yUzIZG7uXD5o/sA46ZakldDn6aO2p5Z/1v/TuDqP3d+83HlYzda4zn7ZSdnMy51nfLBOLzndKN2wW+w8V/uc8QWMFa33ib0qz0vO48dn/5h/7vtn3IcfwrdaonXHURdMvwCTMtE40EhWYniu9AHvADOzZnJK8Sk8vPlhhnxD4R7Q6Ly066W4bb5Y9yJzcuZQml6KzWzj8jmX89sPfkttT62xTrI12agvVCgjOIZwCUSSNYnTS083li0uWMzre183vqRRC/MW8sCmB4xOYRDOqDj8DhbmLeTiyouNA43ZZOaU4lNoHGiktqc2rj7u2yd/m509O3m65mljWWFKIf2efuOgvjAvfGs1mrW0m+3MyZlDSAvRMtRiBJQZCRnGyTn63IrMCqO8IXorDWB59XKaB5t5addL+EN+AlrAuD07K3sWna5Ontz+pLE9CNdAz8qexVM1TxnZpNjbwP/30f/FvUfRTBhAeUa5cQJPsCSQm5Qb93eB/Z/N6AE1LzmPryz6Cjt7dvL4tseBcGnI3v69DHgH4rJ70X1/2PIha1vXcmbZmXG30UrSSoy6Twh/1xoH9o/hHHv79OVdL6NQzMiaYbTxlOJTWNu6lr19ewloATa0byDNnsbuvt2cUXoGPe4eut3dRk1k9HYvhDs9Rm8/Xzb7Mrpd3Tyy5REqsyuNDkOZCZnkJufyXtN7xvuWbE02gu/YCyyA2dmz2dKxhU5XJycVnsQa/xr2OfbhCXhIs6exzrUOq9XKqbmn8lLzS2RlZXFq0qkMBsIX2FarlcvnXo5qjwzfl53B2r61ZCdl0+fpoyi1iAR7ArZEG/dtv4+QM8SirEVs6dtCUAsSMoXHTE6yJjErexYdzg6qplfR7ekm25eNzWQjPSmd00pO48WuF3m28VlOzzudGkcNTp8TTdM4K/8sVIbi9bbXSdKS+LDhQ/IT8rHZbCQlJZGskplTNIe5PXOpM9XR6mylPL+cBfkLcAQdfHbOZ1lTt4a+oT7sdjs5aeFJGnYM7uCDpg9wBV3MSpuFsinmZMyhNKMUi8lCeUY5q5tW8077O4RCIXKHcuM6JZ1fcT5v7XsLCAcHb+17C4XizX3hrN+55eeysmElZmUmLzmPxsFGIwCOrWu/YPoFvLbnNYpSi4zHo0Fv9HvgC/p4a99b6JHTVrTGFjD+9tFysfr+elY1rqIkrYTLZl9GVmIW7zS8w6Bv0EicnF5yupFwiJ5rzq84Py5QKEotMkquoqUIsfXJEA6Sziw7k43tG/n5uz/n6nlXG5nRXb27cAVcNA02kZWYxb+e/K/Udteyu2+3UdO7ty98sfnjs37M0zVPU9tTy6/f/7VRQrYgbwFtjjYc/7+9/46T7CzsfP/Pc06l7uqcpntyntEEpRkkgRAgCYEQwoAXsGxhw4JXGJN87V3b4F2vf9eXe70Xx3W87MK1rxeTbGNjGyNAIIIRKCE0yjMaTQ6dc6VzzvP749Spruow0zPTqbq+79ecV1WdVE/VVFd9z3Oe8zz5sVJ5Xxh4gaSbZHPLZhzj0D/Zz7qmdVyz5pqKgFwfr2f/mv2cHT/LZw59hnde/U72de3jsbOPcXrsNDk/x3+6+T/xzZe+GR4IFcsC8Madb6Stro3JwiQnR07y/pe9nw1NG/irH/8V65vWl55nT+cevnH0GzQmGtnXtY8nzj1REXQTboL2unY66jtKp/e/f/L7peWjudHwQupic7TosxHYoPSden3P9Wxr3cYXn/kiMSfGN45+o6IiYTg7XKr9j747b99yO3s69/DNl77JUHaIHe07wrMZuTHede27KroJ3NS8iZ3tO0tncsv/n3/55b9c0TQoOjPWmGisqC0GSjXRLakWbttyGzB1ASaElUUd9R2lg5TIW3a/pVQTDmGFGITdHP7eQ78HhE0jjo8c5xtHv8Gezj0cHjjMrVtu5Wsvfg1rLXu79jKYGSwdvN665VY+e+izrEmvYVPzJr59/Nu8fc/b+ZtDf1N6/qFseBZ1+hmMznQn6US6ou/xlWKxAvIpwtF0I+sJRy8usdZ+EvgkwMGDBxfnMvZ5uPfqe4Gw/XFHfQe/+/3fxQs8jo8cp6chPCX8Cwd/gU//6NOcGTtTOvUd2ICx/FiprWTcjfNT+34KCE/hdDd0s69rH0eHjlIXq+NNu97EzvadbGvbVvqxro/X8+T5J/n7Z/+eu3bcxb1X38vfPvO39E32ce/+e9ncsrn0QV6TXsPJkZPcuf1OXOOyr2vqwq/yMBjtN/ox/8sn/pJru6+tuEDFGIPBlAJPOp5ma+tWtrZupaexh476DlzjlkL1wbUHScVSvGLDK0qvL7ABHfUd9DT2lALFhdTH69nYvLFUu9rd0E0qm+Leq+/l+PBxuhu6efDYg+xs31nRVvZAzwEeO/sYT/U+xabmTaULNaZfJHPH1jvY0rqF7xz/Dv2T/exq38WHbvgQX3ruS2xu2cyZsTN0pjupj9dT8At0N3Szoy28gO3f7fl3nB49zf968n/RlGzirVe9NawZz00Nf/LKja9kW9u2iqvMo3LeuO5G/umFfyLn53hh4IVSaLx1860VP6zX91xf+qFqTjbzsVs+xmhulN9/6PdL62S9bOk07ys3vpLPPvVZuhu6SxeJReEzOpX7qzf/KvXxev7xuX/k6NBR9nbu5fXbXj9r7X8kFUvxjr3v4AtPf4Hbt9zOi0Mv8uCxB+lp6OGqzqsqaonfsD08oIgO3t534H30NPYwWZjkn1/459J60QVTX3z6i7z3+vdy7/57+cyhz3DNmmv48fkfl9o7f/v4t9nWtq0UTL/07JdK4fi2LbcR2KB0GvX7J7/Pt49/m4NrD/LomUc5NnyM37jlN3CMwz+/8M9c1XEVt2+5nYdPP0xPY0+phvfe/ffy1SNfZV/XPnoae0rNN8oDSEd9R8XZgYZEA4+eeRSDqahtbEm10JBo4P0H31/68WhJtXD3zrvpm+jjuu7rSgH5nn330F7fzvtf9n7yfp6TIyd5/OzjnBw+SSwWoyXVwmRhkuu6r6NpvKnUD/pwfpivnv0qa9eu5af2/hRXdV7FE71PMJgZJJ1O4zouL1v7Mq7qvArXcdnTuYesl6W5o5mvPvlV7t53N87TDk+NPsX6pvWcHjtNc6qZV296NdesuQbHOIzkRhh4cYDPv/R5hlPDvOfG9/D9E99ncnKSZ4afIUuWzs5Ozp8/z5nJM9AIV6+5mhP9JxjKDbExvZGbNtxELBbjuf6wB4637Xkb3z3xXb534nvcvPFmrl5zNc3JZvav2c8Lp1/ANS6/+erfJJ1OY4zh+MRxRvJhDzWO6xD34ty19a7S3/KWli3csfUOnk89zw+O/oCdHTt5aSRsTraucR0H1x6kd6KXdCLNqdFTDGeHuWn9TTx06qHS8ug75HXbXsfnnvocvRO9/OLLfpHABhzqPcT+rv1sbN7IfQfuA8Jw8LmnPscDLz3AuqZ1pVD1hz/4QyyWO7beUWrnfv+R+1nftJ437ngjR4eOlno22NC8gZOjJzk1eoqHTj7Em3e/mZdveDl/98zfcaj3UOmz/cS5J0qfdYBru6/lgZceoDnZzL1X38sDRx+go76DW7fcyrdeCr83ovAWCWyAYxzee/17+bNH/owvPvNF3nPde9jYvJGvv/h1/u3kv3F85DjXdYcDz1zVeRVtdW08fvZxrllzDfXxetKJ8P8j7sZLZytjToyP3vJRgFIQiw6wot+gKGydHjvNjrYdpVrljvoO2uvDU/pR0I6+W+/acRePn30ci2UsN4ZjHG7dfCuBDXj49MPcuvlWblh3A3XxsAnXrZtvLR2UbG7ZTNyJk3STbGzeyN7OvVzfcz2PnX2MLz33Jd559Ts50HOAT/3oU6X3pyvdVdFb0MnRkxweOExLqoVMIUPOz5W+e27bchvWWq7tvpbjI8eJO3E+//Tn6Wnoob2+nddufS3NyeaKi8qmiyqDdnXsoq2uDYMptU3e2LyR97/s/aXXFf0WbGjewN7OvbTXhQe9x4aPlQ74y9v9QhiMb918K8PZ4Yq+tMt/46PXE31ePnTDh3h+4HnG8+P0TvSWmo8l3STvue49DGQGSLpJ3rH3HXTUd/C5pz6Hb31+7pqfK+1nY/NG/sP1/4FCUKBvoo9n+p4pfS9G/9e3bLql4r0Yz48T2KBUfi/wGM4O83PX/Bx+4POFp79Q+t2C8ELGtY1h71vR7/pKs1gB+RFghzFmC+FIt/cAP7NIz7Ugoot4fu3mX+MT3/8EeT/PmoY1vGX3W4DwqD+6Ovjl619equEsbxscMcbwE7t+glQsVaqBjDmxUlupSDqeLnVjE7WXfcfed+CasEuwa7uv5czYGY4MHqGnsYc/f+TPSbgJPnLTRyr2s7ZxLe+97r186kef4qqOq5goTNCaaqWjvoOh7BB3br9zRpu9b730rdIX4TXd1/C6ba+rWN6UbGJNwxreuvutM64WN8bwkZs+UurFYq4jvzftfBM/OPWD0g9g9McA4R/g4cHDJN0k13RfA1A6wAB459Xv5ND5Q9y4/kaaU838w3P/wLbWbaWLLNY2rg27PIunGc2NcvWaq2lMNpYugGtMNtJe385bdr+F4eww3zvxPQ6dP8SrNr2qdIowEnNibGrZxLa2bQxnh0ufhehI/O173l76kjTG8P6D7684Ij+w9gAWyz+/8M8VF7CUh2MIfxAfP/s4B3oOlK4sjy4CASouOInK95EbP1JRi5pOpGmvayfmxLhty22lH6mozaFv/bBf27L2jffuv5enep/ixMgJhrJDjOfHSwdVw9lhXr3p1fRP9rO1dSv7u/Zzduws/ZP9nBw9SX28vqIP7OjLsfwqdQh/CP/i0b/g9NhpDIYd7Tv4yI0foSXVwh3b7sA1bunKd1N2gim66jvpJnnVpleV5p8ZO8P3T36fxkQjd++8mxMjJ+id6OXo0FF2deziP7/qP4e9jhiHD97wQdLxdOk0c1e6i3dd+y4Aehp7APju8e/y2q2v5V9e+Be6G7p5+963V5Q/5+VK3Vttad1CR30H/ZP9pWYjjclGehp6GMuPkU6kKw44f/76n2ciP1G6ah3CA5k1DWtIuAmau5tp8BuIOTHefe27OT14mvsfv5/1DevZ2bOTx089XuqKryHRgB/4fP7M5xmdGOWtHW/lnn330JxsLpXlmu5ruKb7mvC1dnXxheNfYOPajWys38j+NfsrLhqL/r9a61opNBcYKYzQ1RQ+V32iHsdxGGecHS07aG5oZnxwnN5sL7/3pvBgYDIb/ggfXHuQG6++keHsMLvad2GMIRlLctuW29jRtoONzeEQ0S9bF15xv6FrA22DbbhJt1R725YOzz7Vxev44fgPaffaublt6iDFdVxu3ngzO9t3ciJ7guvWXkd7OgwR9+6/F9dx+Xd7/h0Qdgl5avQUt2y6he6Gbra3bSedSPPhGz9MS6oFYwzPD4SDnKTj6VLoKg8TQEWfxxVNg4pB9rqe67hx/Y3EnBj7uvZhCLvPjPp1v3nDzRU/7j869yNeseEVdKY7Sz3xQPgdk06EZx4O9BxgZ/tOGhIN7GzfyXXd19GV7mIsP1ZqOzqWH8Ng2NW+i1s23cKXnv1SqY3pXzz6F3zoxg+V9h2dmr6+53rSifAirPIa0jUNa3j/wfdXhEcIm4i9ftvr+cT3P1HxHXPjuhv5zvHv0JJqIeEmSgeL5W1Gs162VBP+wRs+WJp/bfe1JGPJUndpxoTNmB489iBHh47ywsAL7GzfyeaWzXz/5PfZ3ra9FI6Bih58BjIDFIICPY09s/Yj3ZBooLuhm1s23sIT555gojDBpuapgS/6J/v59I8+zZ7OPRxYe4CmZBOPnnm09HtV/n1zdepq7j9yPzEnVvrOiGpWt7WGYwO8ZfdbuP/I/RUHORBmgKhZxG+86jdwzcwBL1616VXs7tjNnz/656xvWk9jsrH0uTmw9kCpFvzzT3+e9x98f+k30xhTuu5lojDBvq59/Ovhf2Vb6zYO9R5ic8vmiouUIfybX19Yz6d/9Gm6G7rZv2Y/2dNZ3nn1O+lMd7KmYQ27O3bjGIfx/Hjp/7H8e7k+Xl8qQ1RRdHjwMO++9t2zvj4IK0kODx5mfdN6blp/U+m6n4ZEA13pLj5044dKlUE3b7h5RmXYSrQoAdla6xljPgjcT3hB9aettU9fZLMVIe7G+dgtH+O3HvwtDp0/xJt3vbnUXc9obpRXbHgFyViydFpvtoBcPv89171nxgcqelwfry+dgtvSGvZTGH1ReYHHt499m43NG7lrx11A2JZ5er+NkehisoyX4cTICd60800XPPItP+00W3+LH7jhAxXlma48cL9q06vwAo/vHP8Ob9zxRu5/8X5uXHcjB9Ye4MDa2fvi3NWxi6NDR+fso3Z72/bSF1R9vJ5vvvTN0nsE4ft7x9Y76KjvYFvb1Gh0b9vzNv7phX8q1WB01HfQUd8xox3ddNaG7UnNLK2Dph/YzNbF04GeA2xo2kBXuqvigsAb1t3AhqYNPHTqIdY3rScVS5W6PIMwFLxm82vY1rpt1ve6/Ec2srF5I8/1P1c6tQrw8g0v50fnfsS13deWPnstqRaGs8O01bXxlt1v4fDgYT576LP8wQ/+gDfueCNv2vkmtrVtwxjD2/a8rbSvN+9+M8eHj/P/PvH/kk6kSzUV0Q8mULpgbX/Xfk6Ohv0dR211z46f5cXBF7mm+xqMMaXwfuf2O/mH5/5h1vcv5+fI+/nS/tc2rqUp2VQKeNFrig6yyt+rKOzfuP7GUk17uX1d+0pnXFKxVMUPfSTa34GeA6RiqdIp5fIv8PcdfN+M7YA5uyhqSDRw34H7+Mrhr1AXhCHAGEOGDE9NPsXmzs28etOrSwHkZ/b/TCnY1KXrSNYnaa5vrvh/LteYaCQWi7GhecOMZjGz+cypz9DT00N3c9gO/hdf9ot89/h3eeTMI9TV1fHua9/Nbx//bXy3rDlWUxctLS3EO8IDupZUS0X3X45x2NSyien2r9nPtrZtFd+PHQ3h/1PcxHGSDt8/932GE8N8aOuHKraNavlbUi0VV/+Xu2HdDRxcexDXcUsH2ECpCRhMnX0qD2DHR46XQjxQ0SY2OuCH8P/iyOCRiu8Mxzg8ce4J+if7yXk5Em6CO7bdUfr/i5r7RMGnvOLAGENjopH6eD1v3PnGiueJvG7b62hMNPKnD/8pfZN9bGvdVqo06GnsIe/nGcmNsKN9R6l54OaWzaXX117fTmokfL+nHwjM1S1dfbyeWzffWnHdRPT91JJqoSvdxXh+nLfveTuf+P4nSu22O+o7uPfqeysG2oi2LT+76RiHjc0b6W7o5ujQ0dJBSFTTPJAZKF3gOF06nmZLy5YZF2/dtuU2Yk6sdD3H7VvDNrQ/Pvfj0m8GUOqFIhVLlco0/X0p98qNr2RXx64Z38ONycZSl397O/fy8e9+nNu23FZqYvNrN/9a6Xtirt9LYwxrGtbw0Vd+dEaFU/mZSmDW38RtbdtKv3OHBw5zavQUjYnGObviiy4c9AOfV258JTesu4Gvvfg1dnfsZnvb9tJzlPd+Uv5ZL7+/t2sveT/PNd3XzPn6ystdH6/n1ZtfzeGBwwxkBkrPEXW/97Y9b6v4jKxki9YPsrX2K8BXLrriCuZbv/TB/7lrfo7jw8dLH+77DtzHkcEjF203M9sf5C2bbuFvDv0N9fH6Uric7UcwukhqPh+mqN1S1FarvJ3pbN6y+y08ef5JTo6eLF0sVu5CfwizeeXGsN/fa7qv4cFjD1bUsM6mvJbvYqI2qWvSlV/ys4Wh5lQz77z6nTPmT68hn830Nl5RzeB8RF+AEB4UtaRa8AO/VJsV1eplvSwPn364dNADlf01z8fujt0VIRvCL6WoH1QIv7Rzfo7To6dLp1R3tO3gwzd+mD/64R8Rc2Jc13PdnM/RlGziti230VHfQcyJcdP6myrK+RO7foK7dtzFp370qVIf2dEXYdTFz7a2bRUXWO3t2jvjYOOOrXdwqPcQuzt2VwSUwAaM5kZLB5Nv2/M2ToycuOJTcf2T/eT8XOlUdcR13FJf0hD+7W9r3jbXbuatM93JtrbKg5/6eD3Nzc3EYjFa61rZ27mXg2sPVhwAbmrexEvDL12wL9pNLZt43bbXcX3P9ZwcOTlnv8CR6OKj6O+oKdnEndvvJObESv1QFxoLFQcFralW6uvreX7gea5fO/+rzNOJdKn9ZOn5i8E87+d55aZXMpAZwI/7M7aNLsqcrTeYiDFmzpqsyBt3vpHXbXtdxf/z9IE47t55N7dtuY3Dg4dLPcxA2Lxgtu/k8iGcozAefW63tm7lDdvfUHr/9nXtoyHRUAoGB9cevOAgF9Hz+9Znb+feirMct26+lcnCJN0N3aXXEzUPLLeva1/Y+05ZH8MXEtVQlotGhDMYDq49WDpb8ms3/xoxJ8bpsdNhj0MX+byVe83m19CcbOaqjsp+dR8+/fCcB0F18bpZfyPKa34jCTdRceATvbZ0Is3jZx/nDdvfMKM/6Olm+8xOF/WQkXST3Lv/3rCHlUuoBZ3tPYsqqG7ecDNnx89WHOTNJuOF4wEMZYdmHKBEos9kVLaXhl4qXdRXfhAB4ZmEaPS9Xe27GMmNVHzPOsaZs6Kr3Ks3vbp0sSXAz17zs7ww8EIpbEdtpsvb+690ixaQq926xnWlU1owVRMZWdu4tqLJwKVoq2vj1ZteTUuqhXQiXdH2JzJbQL13/70X7ON2b+deXMflyfNP8uCxBy8YQKOwUt4k4Eok3ETpQoGJwsSsfTxeruhCvMVsxG+MIR1PV9SGXW7n5ReqpXjjjjfOuWy+dnXsuujpqbp4HXXxuoqAFQ0AABcehhbCmuvoh6gp2TTjNbmOi+u4vGLDK0qf1emf2fK+o+dy88abK9oCR6L+RKMayKZk04LUOtx34D76JvtmraUpr+28a8ddC3ZVdXTwGIl+hKOawOnNPSBsbjSRnyjVoM/GMU7puoAd7TvmXC/y3uveWxpEJeI6Lq/f/vqpfTpOxfdcdMBZfur6cnU3deM4DnvW7WF/134ePPYgt26e2e/p3Tvv5rru6y76Gb0YxzgVgeQ3X/2bM84QuY5LY7Jx3l1MTe8PHcKzXa/Z/Bq2tGyZ8Te5uWVzKfhOPzicS3Tmp1xrXeusZ5OmS7gJ3n3tu+f1PHNZ17SOq9dcXVEzD5RqqssPJOYr4SYqKjSiz+D0v42FFh28T//cX67oe8m3/rz+5uZjW9s2fummX5rX591aW7qAfm3j2oqmXuXu2HYHCTdROjMQVajMdob06jVXlw5S9nTumfMs9cVsaN5Q0bSnJdVS0X/+/jX7+fH5H5easFQDs1jDvF6KgwcP2kcfffTiKy6huUb1Wkq/9eBv0VbXxodv/PC8t+mf7OdPHv6TGTUQS+nM2BlSsdRFj4Tn69jwMZ7rf447t9+5IPurZX/x6F9wbvwcH77xwwv2/xPJFDJ85tBnODV6ioZEAx++8cMz2r5firHcWKlrt9UmOk290l7bWG6MhJu4pNrB+Yp+a1Z6u8MLebr3ae5/8X6akk3csO6GOWs/r8Qf/eCPGMoO8YGXfeCCzeTk4s6Nn+OxM49x1467Fuxzd3jgMFtat1zyWdaFEnUJGzX7mI+ByQH++OE/rujOcDlEg++sNMaYx6y1M442FJBXsEwhg+u4lxwynu17lq2tWxflR06q25ee/RI/Pv9j/sur/suifVH5gY9jnKoOQiLL5cFjD/LgsQf52C0fu6IDTFmdToycoDHROK8zCuXGcmM0JBr0vTwLBWQRIbABmULmom3tRGR5RMMlX6zNrIgsjLkC8so6vycii8oxjsKxyAoW9VEsIstLAVlEREREpIwCsoiIiIhIGQVkEREREZEyCsgiIiIiImUUkEVEREREyiggi4iIiIiUUUAWERERESmjgCwiIiIiUkYBWURERESkzIoYatoY0wccX+5yLLEOoH+5C1FD9H4vLb3fS0fv9dLS+7209H4vnVp9rzdZazunz1wRAbkWGWMenW3sb1kcer+Xlt7vpaP3emnp/V5aer+Xjt7rSmpiISIiIiJSRgFZRERERKSMAvLy+eRyF6DG6P1eWnq/l47e66Wl93tp6f1eOnqvy6gNsoiIiIhIGdUgi4iIiIiUUUAWERERESmjgCwiIiIiUkYBWURERESkjAKyiIiIiEgZBWQRERERkTIKyCIiIiIiZRSQRURERETKKCCLiIiIiJRRQBYRERERKaOALCIiIiJSRgFZRERERKRMbLkLANDR0WE3b9683MUQkRqX8wIAkjHVHawqXi68jSWXtxwisuI89thj/dbazunzV0RA3rx5M48++uhyF0NEatzRvnEAtnY28KffOsLTZ0Y4dHqEk4MZ1rXU8W+/ftsyl1AuS/+R8LZj+/KWQ0RWHGPM8dnmr4iALCKy0nzi/udpqY+zb20zoxlvuYsjIiJLSAFZRGQW3/lPt7KxvR6A1/3Bt5nI+ctcIhERWSoKyCIiRY2peOl+FI5lFUg1LXcJRKTKKCCLiBR1NuoirlWpoWu5SyAiVeail2obYzYYY75ljHnWGPO0MeYjxfm/ZYw5bYx5ojjdVbbNR40xR4wxzxtjXr+YL0BEREREZCHNpwbZA37FWvu4MaYReMwY8/Xisj+w1v5u+crGmD3APcBeYC3wDWPMTmutGvCJyIpW3ouFrCLqxUJELtFFA7K19ixwtnh/zBjzLLDuApu8GfictTYHvGSMOQLcADy0AOUVEVk0rfWJ5S6CLIb6tuUugYhUmUvqDd8Ysxm4DvhhcdYHjTFPGmM+bYxpLc5bB5ws2+wUFw7UIiIrQms6QWtaIXnVqW9TSBaRSzLvgGyMaQD+Dvgla+0o8OfANuBawhrm34tWnWVzO8v+7jPGPGqMebSvr+9Syy0isuDyBY9Tp8/geer3eFXxvXASEZmneQVkY0ycMBx/xlr79wDW2vPWWt9aGwD/g7AZBYQ1xhvKNl8PnJm+T2vtJ621B621Bzs7Z4zwJyKy5B546HH+9Vvf4+mnn17uoshCGjoWTiIi83TRNsjGGAN8CnjWWvv7ZfN7iu2TAd4KPFW8/2Xgb4wxv094kd4O4OEFLbWIyCI4deJYeHvqFC/67ZweygAwOJEn7wX88QOHAVjXWsdPXr9+uYopIiKLbD69WNwM/CxwyBjzRHHex4CfNsZcS9h84hjwPgBr7dPGmC8AzxD2gPEB9WAhItVgLOvxt4+d4pfvvpYvPnKSH740WLH8977+AgA3bmlTQBYRWcXm04vF95i9XfFXLrDNx4GPX0G5RESWlO/7/PjUMMOTeX58ZpLPv+91y10kERFZJpfUi4WIyGrleR4D43kAWus0yKiISC1TQBYRIaxBHpwMA3KuoB4PRERqmQKyiAgQBAFBEPZImcnll7k0IiKynBSQRUQIa5AjmVxhGUsiIiLLTQFZRIQwIPvFGuRsQQFZRKSW6UoUERHCgBwEFscYsqpBXl00zLSIXCIFZBERigEZcByji/RWGwVkEblEamIhIgLkCx6eH2CtJVfwCYJguYskC8X3wklEZJ4UkEVEgFzeww8sfmApeAGep0C1agwdCycRkXlSEwsRESCTz+OYcNDQnB9U9GohVa6hc7lLICJVRgFZRATI5DwcJwzIBU8BeVVJNS93CUSkyiggi4gQ9n0cWAsG8n6gNsirSSEb3sZTy1sOEakaaoMsIgJkCx5BYEm6DnkvvFhPVomRU+EkIjJPCsgiIkA2H/Z9nIy5+NaqBllEpIYpIIuIUB6QHfxAAVlEpJYpIIuIQGn0vETMIVBAFhGpaQrIIiJAzgt7rYhqkNUGWUSkdikgi4gQXqQHYUC2QMFTN28iIrVKAVlEhHCoaYBkIg5ArqCR9EREapUCsogI4eAgAKlEAgDfVxtkEZFapYAsIgJ4flSDHI6flFcTCxGRmqWR9EREgLwX4BhDW0Oq+FhNLFaNhs7lLoGIVBkFZBERwPN8HMfQnA4DcqGgJharRqp5uUsgIlVGTSxERAh7rTAGXMcNHwdqYrFqFLLhJCIyTwrIIiJAoXhR3mQxF+cLCsirxsipcBIRmSc1sRARATzfJ+G6tBfbIBfUBnn1aOxe7hKISJVRQBYRIQzIcdfQUJ8Ewov2ZJVINix3CUSkyqiJhYgIYT/IjjFgwq9F9YO8iuTGw0lEZJ4UkEVECGuQA2vJFFtW5H01sVg1xs6Fk4jIPCkgi4gQdvPmOoa4G7Y8UzdvIiK1SwFZRGqetRYvCHAdSCaK3bzpIj0RkZqlgCwiNc9ai+9bYq5LzI36QVYNsohIrVJAFpGaFwQBvrW4rks8Fjax8Dz1gywiUqsUkEWk5gVBgBdYYo5DzDUA5BWQRURqlgKyiNS8IAjwg4BYzMWNhU0sVIMsIlK7FJBFpOaFNcjgug7JYhtkX22QRURqlgKyiNS8IAjw/YCYG8N1w69FjaQnIlK7NNS0iNS8qA1yQyrO2pZ6ADx187Z6NHYvdwlEpMooIItIzQvbIFtSCZfm+gQABQ01vXokG5a7BCJSZS7axMIYs8EY8y1jzLPGmKeNMR8pzm8zxnzdGHO4eNtats1HjTFHjDHPG2Nev5gvQETkSkXdvGEd8r4FwFNAXj1y4+EkIjJP82mD7AG/Yq29CrgJ+IAxZg/w68AD1todwAPFxxSX3QPsBe4E/swY4y5G4UVEFkJUg1ywloHJAsYYXaS3moydCycRkXm6aEC21p611j5evD8GPAusA94M/FVxtb8C3lK8/2bgc9banLX2JeAIcMMCl1tEZMFYa/EDS2t9grUt9bgGPF/dvK0azevDSURkni6pFwtjzGbgOuCHwBpr7VkIQzTQVVxtHXCybLNTxXnT93WfMeZRY8yjfX19l1F0EZGF4XkefmBJJuLUJ+O4jlETi9UkngonEZF5mndANsY0AH8H/JK1dvRCq84yz86YYe0nrbUHrbUHOzs751sMEZEFF4XhABjLeTiOwfdnfG1JtcqOhJOIyDzNKyAbY+KE4fgz1tq/L84+b4zpKS7vAXqL808BG8o2Xw+cWZjiiogsvFwhbE7h+TA4nsc1Bl9NLFaP8b5wEhGZp/n0YmGATwHPWmt/v2zRl4F3Fe+/C/jHsvn3GGOSxpgtwA7g4YUrsojIwsoX+zyOxVyM44Q1yIFqkEVEatV8+kG+GfhZ4JAx5onivI8BvwN8wRjzXuAE8HYAa+3TxpgvAM8Q9oDxAWutqmJEZMUqeOFXVMx1MMboIj0RkRp30YBsrf0es7crBrh9jm0+Dnz8CsolIrJkoiYW8ZiL4zg4RjXIIiK17JJ6sRARWY1KTSxcN6xBdh3VIIuI1DAFZBGpefmoBrnYxMIxaKAQEZEapoAsIjUvH7VBLmtiESggi4jULAVkEal5BX+qDTJAzDH4AQrJIiI1SgFZRGpePh+2QY4Csuu6BNZirS7UExGpRfPp5k1EZFUrFEfSW9NUz9qWOlzHIVfwCYIA13WXuXRyxZrXL3cJRKTKKCCLSM2L+kFOp2Kk4i6u4xAEqkFeNeKp5S6BiFQZNbEQkZpXKHbzVghgNFsgFnPwrVUb5NUiOxJOIiLzpBpkEal5BS8Mwpl8QP9YDtcxBBbVIK8W433hbap5ecshIlVDAVlEal40UMj69jQb2+pxXRc/UA3yqtG6eblLICJVRgFZRGpeVINcl3CJuU6xBjlQDfJq4eqnTkQujdogi0jN8/ywBjmTtwxN5InFYgTqB3n1mBwMJxGReVJAFpGaFw01nfEChibzxYFC1IvFqqGALCKXSAFZRGpe1A+yBgoRERFQQBYRwStepJeMTw01rSYWIiK1SwFZRGpewbcYKI2a57oxfNUgi4jULAVkEal5Bc/DdQyOCb8SozbIqkEWEalNCsgiUvMKnkfMcXCc8CvRdR0CjaQnIlKzFJBFpOZ5XoDjUgrI8Vh46/kKyCIitUgBWURqXsH3iTkOphiQo6Bc8P3lLJaIiCwTBWQRqXkFzyfmmKka5OLFep6ngCwiUos0/qaI1DzPDwPy5o4GHMch5kY1yGpisSq0bl7uEohIlVFAFpGaZq2l4Ae4rkMiHn4lxooDhhRUg7w6uPqpE5FLo28NEalpQRDg+5Z4zGVoIg+E3byB2iCvGtEw0/Vty1sOEakaCsgiUtOCIKAQBMRjcYYmiwG52AbZ9zVQyKqggCwil0gBWURqmu/7+IElFXPY2tkAhP0gg2qQV42O7ctdAhGpMurFQkRqWhAEeL4lXtZOdaoXC12kJyJSi1SDLCI1LQgCvCBsg9w3lgNUg7zqjPeGt9lRePLz8OI3Yegl8HLQugX2vhlu+kVIpJe3nCKyYiggi0hNC4IAPwiIx1zGsgWgrAZZ3bytDtnR8PZHfw2P/E/Y9Qa4+h3gxODYd+Gb/wc8/Q/w89+AeN2yFlVEVgYFZBGpaVM1yFMtzuLFGuS8unlbXfa8GW75ZUg1T8172XuhbRt893fh8b+GG+9bvvKJyIqhNsgiUtOmAvJUfUHUxMJXDfLqsu76ynAc2feT4W3vM0tbHhFZsRSQRaSm+b4fXqRXFpCjbt68QDXINWH0THjb0LW85RCRFUMBWURqWlSDnCiOngeUhppWP8g1IPDh2/8tbI+8/+3LXRoRWSEUkEWkpnmej7WWRHwqICfiURtkb7mKJUvlq78Opx6BWz8GHTuWuzQiskIoIItITcsWwhCcKG9i4agNck345v8BD38SDrwbbvmV5S6NiKwgCsgiUtPyxYBc3otFrBiWvUBNLFatb/1f8J1PwLXvhLv/cLlLIyIrjAKyiNS0qCu38hrkeLEG2VM3b6vG2XO9fOtb32J4eBge/B349u/ANT8NP/HHYMxyF09EVhj1gywiNS2XLzaxiMfY2tkAwHB/MSCricWqUGjexKMPPQvA2D//Z1qO/DVcfQ+8+c/AUT2RiMx00YBsjPk0cDfQa63dV5z3W8B/APqKq33MWvuV4rKPAu8FfODD1tr7F6HcIiILIudFbZCnLtKLBgpRQF4dhoeHAdh8/n42nPprbPN6zNbXwKEvVq7Y0Anbblvy8onIyjOfGuS/BP4E+P+mzf8Da+3vls8wxuwB7gH2AmuBbxhjdlprdZ5SRFakUhOLuEvfWA6g1Cey+kFeHcbOvQQvfZeW038LdWBGTsE//MLMFTe9UgFZRIB5BGRr7XeMMZvnub83A5+z1uaAl4wxR4AbgIcuv4giIosnn59qgzxZbG4R9YPseapBXg3Ghvrgqb/jCdI80XY317/z/8e6deuWu1gisoJdSeOrDxpjnjTGfNoY01qctw44WbbOqeI8EZEVKerrOBF32dSeZlN7umygEAXk1WC8EP5/ttbHoPdZxsbGlrlEIrLSXW5A/nNgG3AtcBb4veL82S4FnrWfJGPMfcaYR40xj/b19c22iojIoptqg1zWi0VMQ02vJtm+YwB0bNgBE31MjI4sb4FEZMW7rIBsrT1vrfWttQHwPwibUUBYY7yhbNX1wJk59vFJa+1Ba+3Bzs7OyymGiMgVyxfCEJxMuJwbyXJuJKuL9FaZ7JmnIQho3fdaCHwy/ceXu0gissJdVkA2xvSUPXwr8FTx/peBe4wxSWPMFmAH8PCVFVFEZPFEA4Uki22QJ/PeVA2yAnLVKxQKBGO9uLEYjTtvASDTe2x5CyUiK958unn7LPAaoMMYcwr4r8BrjDHXEjafOAa8D8Ba+7Qx5gvAM4AHfEA9WIjISlYo9WIx9XXoui7GGPxAAbna5XI5yI2TSjeRWrMtnDd8DmstRgOEiMgc5tOLxU/PMvtTF1j/48DHr6RQIiJLJVeY6uYtYozBNbpIbzXIZrOQHyfZ0IxT10wylSKXGSKbzVJXV7fcxRORFUpDCIlITSuU9WIRMcbgOoaCrxNg1S6sQR4j1dACxlDX3AnZETKZzHIXTURWMAVkEalp0UAhqbJeLBzHwTGGwJ+1Ex6pIvl8HvITJBrC3kiTTR2QGQyDs4jIHBSQRaSmRTXIyUS8NC+qQfZUg1z18uMj4OeIp4sBuXkNZEYUkEXkghSQRaSm5Yuj5aUS02qQHYMfqAa52hXG+wFINLQAkGzugtwoucmJZSyViKx0CsgiUtMK0UV6sZkX6akGufrlx4cASKSbgWITCyA3qgGqRGRuF+3FQkRkNct7Hq5jcF0X1wm7/YraIKsGufoVJkYAU2pikWrpAiA3ooAsInNTQBaRmlbwPGKOwXEcNrXXA+D7Pq7rqAZ5FchPDIHjkli7Dyi2QQZyY/3LWSwRWeHUxEJEaprnBbhuGJAjYQ1yGJSluuUnRgBINLYDZQF5VAFZROamgCwiNa3g+8QcB9d1OTeS5dxIFmMMMcfBDyzWqplFNStMjkIQELd5ABIt3QDkxgaXs1gissIpIItITSt4fqmJhRcEeMXhpV3XwbOWQMNNVy1rLYXMGMSSxItDicfTzTixJH5mBK/YxZ+IyHRqgywiNa08IK9vrS/NjzkOnu8RBAGu615gD7JS+b4P+Qnc+iZM66bS/GRDM5ncOLlcjlhMP4MiMpNqkEWkZllrKfgBMdfBGFOxLBZzCQLUxKKKFQoFKEwSTzVUzE82tEJuTIOFiMicFJBFpGb5vo8fWGLFPpBPDU1yamgSgJjr4gWBmlhUMc/zoJANa4mHT5TmRwE5n88vY+lEZCVTQBaRmhUU2xzHi6fZ815QGlkv5hp8iwJyFSsUCuBliSeS4E2F4WRTO+TGyGazy1g6EVnJFJBFpGZFNchxd+ZXYcx18f1ATSyqmOd54GWIJesr5icb2yE/QT6bWaaSichKp4AsIjXL930KviURj89YFnNd/EC9WFSzsA1yhniqrmJ+ONy01Wh6IjInBWQRqVlhQA5Ixmf2ZOC6hkBNLKqal8+BlyOWTFfMDwMy5EZ7l6NYIlIFFJBFpGZFATkxS0COuzE8q4v0qllhMhxFL143rYlFaTS9gSUvk4hUBwVkEalZQRBQ8C2p5MwmFvGYQ+Crm7dq5mXGAIinGivmJ5q7AMiNKSCLyOwUkEWkZvm+j+cHJGMzBwJxXRdfI+lVtcLkKACx1LQmFsXhpvPjQ0teJhGpDgrIIlKzCgUPL7AkEjObWMRcB08X6VU1LxvWIE8PyPF0C8aNU5gY1v+viMxKAVlEalYmXwAgVezFIhFzSMTCr8W462KtxfcVoKpVVIMcT7dBLFGabxyHZEOzBgsRkTlpEHoRqVnZggdAMhEG5PWtUxdzxYp9I+c9f+kLJgvCy4wDEOvaDi0bK5Yl6pvIFoebTqVSy1E8EVnBVIMsIjUrkyvWIM/SxCJebJdcUECuWoVsGJDj9a0zliUbWiE/Ti6XW+piiUgVUEAWkZqVKzWxCAPyqaFJTg1NAuFAIQAFXwG5WpVqkAujMHyiYlmysQ1yCsgiMjs1sRCRmhW1QY6aWMScqToD1SBXv0J2HByXeH0TOJU/d4mGNsiPkctml6l0IrKSKSCLSM2a3sSiu3mqLWq8eLFevqCAXK287CTE6oi1bwKn8oRpsrEdAp/c2OAylU5EVjI1sRCRmpUrht+6xMyBQqImFnk1sahKnudhCxncZB2OM/OnLtncCUB+rH+piyYiVUABWURqVrbUxCKsQT4+MMHxgQlgqgbZUxOLquR5HngZYsl6GDwaTmWSTWFAzo0oIIvITGpiISI1K5sPu3mrT4V95PrB1LDScTf8etRFetXJ8zwoZInV1cMsg4EkW9YAkFMNsojMQjXIIlKzohrkutlG0iu1QdZAIdWoUCiAlyWeqp91ebI5DMj58eElLJWIVAsFZBGpWZlcOIpaXTIxY1kipm7eqlnYxCJLvK5h1uWJ5i7AkBsbxFo76zoiUrsUkEWkZkW9WKRTMwNyqZu34mh7Ul3CJhYZYsnZA7ITixOvb8TmxsLaZhGRMgrIIlKzooFCGmYJyAn1g1zVCvk8eDlic9QgAyTqm6E43LSISDkFZBGpWdl8AceY0kAh5aIa5JynGuRq5GXGwQbEU3MH5GRDM+THyOfzS1gyEakGCsgiUrOyuQKJmEMsNvMivURxXsHTRXrVqDA5CnDBGuRkg4abFpHZKSCLSM3KFsKA7BYHBSmXjIcBOa82yFXJy44AEKtrnHOdZGNrONy0ArKITKN+kEWkJllryeZ94u5UQK4v6+4tmVAb5GrmZcYBiNc1QWKOrt4a26GQJTcxtpRFE5EqcNEaZGPMp40xvcaYp8rmtRljvm6MOVy8bS1b9lFjzBFjzPPGmNcvVsFFRK6E53kUfJ9UWSjubk7R3ZwCIBHVIKsNclWaamLRCE1rw2maRFMHALmR3iUtm4isfPNpYvGXwJ3T5v068IC1dgfwQPExxpg9wD3A3uI2f2aMmXnuUkRkmfm+T8G3s16gB5BUG+Sq5mXDGuRYXfOc60TDTefHBpakTCJSPS4akK213wEGp81+M/BXxft/BbylbP7nrLU5a+1LwBHghoUpqojIwvF9n5wXUFcWkI8PTHB8YAKgVLNcUA1yVYoCcry+CQaPhtM0yeYuAHKjGm5aRCpdbhvkNdbaswDW2rPGmK7i/HXAD8rWO1WcJyKyooRNLIKKGuSKNsi6SK+qFTLhgU6svgnmOktQHG46qxpkEZlmoS/SM7PMm3UMT2PMfcB9ABs3blzgYoiIXJjv++S9gFRZeOpsTJbux2MuBsj7amJRjUo1yOkWqE/Puk6qrQeA3PgQ1lqMme0nTERq0eV283beGNMDULyNrnA4BWwoW289cGa2HVhrP2mtPWitPdjZ2XmZxRARuTye580IyOUcx8F1jHqxqFJebgJiSWKJ5JzruKkG4okUweSIhpsWkQqXG5C/DLyreP9dwD+Wzb/HGJM0xmwBdgAPX1kRRUQWnud55P2A+tRUgDraN87RvrDm0XEcYq6DpyYWVcdai5edhFhd2IVf/5FwmkWqsRVyo2Sz2SUupYisZPPp5u2zwEPALmPMKWPMe4HfAe4wxhwG7ig+xlr7NPAF4Bngq8AHrLWqfhGRFSeby+MHlnRq7hrkmGMo+PoKqzae54GXJZasu2iziVRzO2RHFJBFpMJF2yBba396jkW3z7H+x4GPX0mhREQW21g2HD0tnZr9FLzruriOIa9u3qpOGJBzxFOzDxBSLtXUCeeeVEAWkQoaalpEatLYRBSQE7MuL9Ugq5u3qlMoFMDLEEvOIyC3dIVNLDKZJSiZiFQLBWQRqUnjmWJArp+9BtlxHFzXwdNFelXH8zwoZImlZu+9olyqZQ34BTIjfUtQMhGpFgrIIlKTJopNLBrmaGJhjCHmGLwgIAjUzKKaRG2Q4/MKyGFXb9mhc4tdLBGpIgrIIlKTxicv3MQCIBZz8QIUkKtM2MRinjXIrcWAPNx7kTVFpJYoIItITZrI5QFonKOJBUDCdfF91SBXGy+fAy9HLNVw0XVT7eFgr9kRBWQRmaKALCI1aSITBuSm+tSc64Q1yFYBucp4mVEA4nWNF1032boOYwz5sX79P4tIyUIPNS0iUhUmsjNrkBun9Ykcj7n4CshVpzAZBuRYXbEGOdU057omniRV30gmO0omkyGdvnizDBFZ/RSQRaQmTRYv0mtO15XmdTZWNreIx2IU1MSi6niZcDTEWKpYg9zQdcH161s6yORGmJycVEAWEUBNLESkRk1kc8Rdh2Ri9pH0IKxB9gKLr9H0qkohMwJAvH7umuNydc0dMDlMRn0hi0iRArKI1BxrLZPZPMm4Syw2dSLtaN84R/vGS4+T8Ri+AnLVKdUgR22Q+4+E0xzq29ZCZoDJycmlKJ6IVAE1sRCRmlMoFMgWAtKpBMaY0vzW+sou35LxsImFAnJ18bJRQC7WINe3XXD9uvZ1UMiQGRlY7KKJSJVQQBaRmlMoFJgseNRPGySkNV0ZkBOJGAVfF+lVm8LkGADx+pZwxkUCcn37BgAyA6cXs1giUkXUxEJEak6hUCCb92moqwzInh/g+VNhOBmLEVhLvuAtdRHlCni5CQBi6eZwhu+F0xzqujYCMDlwatHLJiLVQQFZRGpO2MRiZkA+MTjJicGpdqjJRHiSLZsrLGn55Mp42Ukw7lQ/yEPHwmkOdZ1bAcgOn8Nau/gFFJEVTwFZRGpOoVAgUwhoqJt7kBCg1MNFJp9fimLJAilkJyCWIBafu4eSck5DB6lkEjs5qJ4sRARQQBaRGpTL5ckWfJrSFw7IqWLAyuZ1kV618H2fID+Jk6jDdd35bWQM9S0dkBlSTxYiAiggi0gNGpkMawnLR9GbTTIeBqxsXk0sqkWhUAAvSyJVf0nbpdt6YHKQiYmJRSqZiFQTBWQRqTkj41kAWhouHKJSpSYWCsjVIp/PQyFDPNVwSds1dKyFzCDj4+MXX1lEVj0FZBGpOcPj4Wn0poa6C65XlywGZF2kVzUKhQIUJonXN17SdunOjZAbZ2Kob5FKJiLVRAFZRGrO8FgYkNsbL1yDnIyHvVjkPLVBrhalgFx3iQF5zTYAJnqPLUKpRKTaKCCLSM0ZGg/bILc3XayJhbp5qzaFQgHyGRL1TZe0XXrdbgAm+k6oqzcRUUAWkdozUgrI6QuuFzWxyGmgkKqRnxwHP0f8EgOy27qRuoSDHe9VTxYioqGmRaT2jEzMHpBb6yuHmo5qkHN5BeRqUZgYAcqGmYaLDjUdbpAi3dJFZqKXiYkJ0ukLHzyJyOqmGmQRqSlBEDA6maUuESsNBBJpTSdoTU+F5KgXi2xBTSyqRWFyCIB4umVqZn3bvEJyQ8c6mOhTTxYiooAsIrUln88zmfdpTNdhjKlY5vkBnh+UHtenEsVtVINcLQoTwwAkGlqnZvpeOF1E45rNMN7H6MjI4hRORKqGArKI1JRsNstk3qcpPbOLtxODk5wYnGp/WhfVIKsf5KqRLwbkihrkoWPhdBFNa7dDIcNo3+nFKJqIVBG1QRaRmpLL5RjPeWxsn9mDRUdj5ch66WINsgJy9ShMjgIQL69Bbuic17aNxZ4sxs69iLV2xhkGEakdCsgiUlNyuRzj2QJts/Rg0ZSqbJMci8WIuw6ZXH6piidXqDA5BkA8XRaQU83z2jbevZu6hENm+DQTExM0NFzaaHwisnqoiYWI1JSJyQyTeZ/25pnhJ1vwyRamBgWJxWIkYw5ZdfNWNQqZsAY50dheNjMbTheT7qSxsRFGzzI2NrZIJRSRaqCALCI1pXc47KGgo3lmDfKZ4QxnhjOlx67rhgE5l9fgEVXAWhvWIMfriCXKmsuMnAqnizGGpu6tMHaW0dHRxSuoiKx4CsgiUlP6hsOawa5ZapCnM8YQj8XIewFBEFx0fVlenudhCxPEUmkc5/J+3prW7oSxM4wMDy9s4USkqiggi0hN6R0qBuTWxnmtn0rGyfkBnqdmFitdNMx0PHX5bYdbN+0FL8fQ6RcXsGQiUm0UkEWkpgyMhE0s1nbM78KtumScghfg+/7FV5Zllc/noZAhUT+/g5/Z1G/YRyLmkB84riGnRWqYArKI1IwgCBgYmQBjWNs2zxrkeJy8b1WDXAVyuRwUJkleQUCmYyct9TEYPsmwmlmI1CwFZBGpGdlslpFsgeaGeuIxd17bpFJxcgVfNchVIAzIEyQb5nd2YFbxOlp7tsLwcQVkkRqmgCwiNSOTyTCSKczaxdtc6hJx8mqDXBXy2QzkJkg0tF985Qto2bQPhk8wNDi4QCUTkWqjgCwiNWNiYoLRTIHO1qZ5b1OXTJD3FJCrQW6kH7Akm64sILduOwCFSYZPH9GZA5EapYAsIjVjfHyc4UyB7rb5n4KvTybwA0tOw02veLnRfgCSTfMbWnou8fXX0lznEgweY2hoaCGKJiJV5oqGmjbGHAPGAB/wrLUHjTFtwOeBzcAx4B3WWn3DiMiyOz84Qt4LWN/VOuvyjsbkjHl1qQQAY5l5jMQmyyo/PkdAbrjEwNy+jfamBkaGj9Hf309HR8cClVBEqsVC1CDfaq291lp7sPj414EHrLU7gAeKj0VElt2xc2Gb0i3ds5+Cb0rFaUrFK+al68LQPD6ZW9zCyRXLjQ4AkGieFohTzeE0X45Lx7ZrYOBFBgYGFrCEIlItFqOJxZuBvyre/yvgLYvwHCIil+x03zAA29fOHpCzBZ9sobLNaWMxII9lFJBXutx4eLIy2bymckEhG06XoG3XTZixswydOxkOQCIiNeVKA7IFvmaMecwYc19x3hpr7VmA4m3XFT6HiMgVy2az9I1mcGIx1rfP3k/umeEMZ4YzFfOa6lMAjE2qicVKZq0lPzEExiXROK1JxMipcLoE8c030VrvYvsP09/fv4AlFZFqcEVtkIGbrbVnjDFdwNeNMc/Nd8NioL4PYOPGjVdYDBGRC5uYmGBgIkdHSzOJ2Ox1A2uaUjPmNdaHNcijEwrIK1mhUMBmx4jXN+LEpv20NXZf+g679rKmpYHBwRc5f/48PT09C1NQEakKV1SDbK09U7ztBb4E3ACcN8b0ABRve+fY9pPW2oPW2oOdnVd2xbGIyMVMTEwwMJ5nbfvcbVHTyRjpZGW4aioG5PFsflHLJ1cml8tBfpxEepb/32RDOF0KN8aaXQeh9znOnz+PtXZhCioiVeGyA7IxJm2MaYzuA68DngK+DLyruNq7gH+80kKKiFyp0dFRBibyrF8zdx+5EzmPiVxlf8ct6TpATSxWunw+D7lxkumWmQtz4+F0iRr33E59YYD84CkGNWiISE25khrkNcD3jDE/Bh4G/sVa+1Xgd4A7jDGHgTuKj0VEltWZ3gGyBZ+t6+Y+Y3V+NMv50cog3JQOm11MqgZ5RcvlcpAbI9nQMnPh2LlwulSbX8na5jicf5rTp09fcRlFpHpcdhtka+1R4JpZ5g8At19JoUREFpK1liOn+wDYse7SrhtuqEtijGFcvVisaJlMBnLj1DVf2Sh6FZrWsm7zLo4cfYYzZ86wb98+HEfja4nUAv2li8iqNzk5ycmBMZxYgj0bLi1AJRIJUnGHCQXkFS0zOgR+jlTTwg7q0bTvtTROHqMwPkhfX9+C7ltEVi4FZBFZ9UZGRjg7nKWlpZmOhsQlbeu6LnXJONl8Ac/zLr6BLIvM0FkA6lrXXGTNS7Tj9axvduHMjzl+/PjC7ltEViwFZBFZ9UZGRjgzkmH7ui6MMZe8fTqVJFPwwwvBZEXKDBYDctuGhd1xx3Y2brsK5+zjnD9/PmzKISKrngKyiKx6vX399I7m2L3pMvrDBZrSdUzmFZBXsuxweBFeXecCB2QgsecN9PinYKKfY8eOLfj+RWTlUUAWkVXN932eP36WwMI129Zf1j6a03VM5D0NObxCBUFAbqQXYwzJha5BBth9N1s76uDEQxw7dkyfA5EaoIAsIqva4OAgJ4cmiaXSXLW+9bL20ZyuYzKnGuSVKpPJQGaEVLoJk6hb+CdoXEPL3lvpHPoRXi7D0aNHF/45RGRFUUAWkVWtv7+fl/onaO9oZ13L5YWnloY6cl7A+KTan65E2WwWskPUNS9sDxYV9r2Nnc15OPMEL730kmqRRVY5BWQRWdX6+vo42jfBgZ0bL3qB3pqmFGuaUjPmNzfWAzA0NrkoZZQrE9YgD1PXPMcgMI3d4XQlNt5E28ar6Dj3bQq5LIcPH76y/YnIiqaALCKrViaT4cipXibyATft2XzR9dPJGOnkzPGTWosBeXBUAXklymQykB0m1TpHCE42hNOVMAZe9vPsaRiBs09y9OhRxsbGrmyfIrJiKSCLyKp19uxZjvaPE29o5eCWiw8QMpHzmMjN7Ou4vSkNwODYxIKXUa7cxFAfFDLUt/XMvkJuPJyu1LbbaF63g83D/4b1fQ4dOnTl+xSRFUkBWURWrbNnz/LCuTF6enrm1f74/GiW86PZGfPXtDYC0D+8ACFLFtxE/ykAGubq4m3sXDhdKceBl/08u1N9JM7/iIGBAV2wJ7JKKSCLyKo0OTnJ2fN9HOmb5LUHdsxrgJC1LXWsnSVId7eFAXlgVAF5JRrvOwlAQ9fm2VdoXh9OC2HH64ivv45rRr8B+QmeffZZRkZGFmbfIrJiKCCLyKp04sQJnj8/htvQxmt2z3HqfZpU3CUVd2fM72hK4zqGwdFJrLULXVS5Avl8nvzwWWKuIdW9Y/aV4qlwWgjGwGt+ne5Uns3DDxEEAY899pi6ABRZZRSQRWTVCYKAEydO8NTpUdasXc++dc3z2m40W2A0O7P7Ltd1aUqnGM0WyOVyC11cuQLj4+Mw3ks63QB1c/RznR0Jp4XSsQOufgd7xr9Lc+YkExMTPPLII/i+v3DPISLLSgFZRFadkydPMjA6zuEhjzsPbMd1Lt68AqB/LEf/2OwBuL2pkdFsIewxQVaMiYkJGO8N2x/P1YxmvC+cFtLLP4jbsZ0bBv6WOlNgcHCQxx57jCAIFvZ5RGRZKCCLyKoSBAGHDx/m8ePDJNvWcffVaxdkv+0tjYxnPQXkFSasQT5PQ9empX3ieAru/L9I2Sw3jvwTccdw/vx51SSLrBIKyCKyqhw7dozxiUl+dC7LwT1b2dyRXpD9drU2MjxZCGssZcUYH+yF3CjpNVuW/snbt8Ft/5nGwSd5ReF7JOJxent7eeihh8LR/USkaikgi8iqkc1mef7553ny1DDZ+m7ednCObr8uw9qOFgp+QO/g6ILtU67cyJkjADSt27U8Bdh9F9zwPppOfp1XuD+mLpViaGiI7373uwwODi5PmUTkiikgi8iqYK3liSeeIJcv8INzAVdt28grt3cs2P43dLYAcKp/eMH2KVcml8uR6T9JzDU0rNu9fAW54T/AvrfR+NwXuMV5nLbWVrLZLP/2b//Gs88+q3bJIlVIAVlEVoUjR47Q19fHYydHmahfy79/xeZ59X08X5u62wA41Te0YPuUKzMyMgJjZ2mui2NaNi5fQYpdv3HNPSSf+QIvH/sKO7ZswhjDkSNH+Pa3v01vb+/ylU9ELllsuQsgInKlTp06xXPPPcdIpsBDI03ctKubl2+7+NDSl2JLdxsYw7mBUXzfx3Vn9pcsS2t4eBhGTtHcsxViieUtjDFwy3+EulacH/w5u8dO03XDr/LE0fOMj4/zwx/+kK6uLnbu3Elr6xzd0YnIiqEaZBGpaufOneOJJ54gCCzfOp8klm7hQ7dvX9DaY4CmugTNjQ30j+fCnhNk2Q0PDcHwcVo27lvuooSMgZf9PLzh/4bBo7Td/35e0z3JnquuIhaL0dvby/e+9z0eeugh+vv7l7u0InIBqkEWkar10ksv8dRTTwHw1HgdL+Xi/MfX72B9a/2iPN/6zjZ6h/oYGxujuXl+g4/I4hk+fQQKGVq2XLPcRam0/Xbougq+9l9wHvivbNt8C+tv+ABHBz2OHTtGf38//f39pNNpNm7cyIYNG0gmk8tdahEpo4AsIlWnUChw6NAhTp8+DcBZWnngrMed+7p5w77uy97v2pa6Cy7fvK6TB06cYnh4mPXr11/288iVGx0dJdf7Iqm4Q3rLgQuv3LwM/1dNa+EnPwlP/A08/P+Q/Nuf5aprf5rtr7iHY72jHDt2jImJCZ599lmee+452tra6Onpoaenh1RqgYbFFpHLpoAsIlXDWsvp06d59tlnyWazuK7LcKqHz/9ohBu3tvHLd+y8oqYVqfiF2xXvWNfFvxR8TpztY98KOatfq/r6+mDkBJ1NddC27cIrx5cpcDouXP+zsOsN8P3/Do//NfEnv8iOfT/J9pveSe+k5cSJE/T29jIwMMDAwABPPfUUTU1NdHR00NnZSVtbG7GYfqpFlpr+6kRkxbPW0tvbywsvvBBemAU0Nzfzgt/J3zx2nms3tvBf37SXmHtll1WMZgsANKXisy7fv6UHgGdPnOfOIMBxdBnHcunr64PBF+ncehW4F/kpy46Et6llahaT7oA7/nc48O/h0U/Djz+H+fHnWLP1NazZ95MUrn4tvf39nDlzhr6+PkZHRxkdHeXo0aMYY2hubqa1tZWWlhZaWlpIp9ML3sZeRCopIIvIipXNZjlz5kzpdDRAKpWiZ9NWPvPUBD88ep7br+riV+/cTfwKwzFA/1gOmDsg793Yjpus5/TgOENDQ7S3L2xPGTI/vu8zcOY4DJ2kc987Lr7BeF94u1wBOdK2BV7323DDffDU38Kz/wQvPkC8sYd1229n3fbXElz/egaHhkrtlIeHh0tTJBaL0dTURENDA42NjaVJTTNEFo4CsoisKOPj4/T19XH27FkGBgZK8+vq6ti0aTPPTaT4L984zkTO4wO3bucnr1+3YLVpG9sufHFffSLGxrXdnBjspa+vTwF5mZw7d46g73la610SW2+++Aatmxe9TJekZQO88n+Dm34RXvwmPP+v8OPPwY/+F05jDx2bbqZjww1w8GV4sfpSQB4aGmJ4eJhsNsvg4OCMkfpisRj19fWzTqlUinh89gM/EZlJAVlElo3v+4yOjjIyMsJQsdYsm82WljuOQ1dXFz1r13F4zOW/ff8kR/vG2bO2iV++YydbOxsWtDzzaaJxYNcm/vHrxzh77jy7dy/j6G017NSpU9D3POu6WmDN3otvcLEmGMsllgzbJ+96A2RH4aVvFwPzv4Q1zMYh1nUVHesO0LFmL1x1NTS8jFwux9jY2IypUCiUmmfMxnVdUqkUyWSSVCpVmpLJJIlEomJSu2epdfoLEJFFVygUmJiYYGJigvHxcSYmJko/6tbainWTyWTpAqVEYxvfemGA//7Vk5weyrCutY6P3XUVt1/VtShtMIcm8gC0pucedOLVV2/lb+9/kCePnuEVL8+pe64llsvl6Dt/DtP7LOtuvzW8EO5iJos1rfVti1u4K5FqgqveFE6+B+cPwYkfwskfwhOfhSBsH0+6i2T3PpIdO+lo3wYbt0PTXnBcCoUCk5OTTE5OMjExUbo/OTlJNpvF9/3S3+HFOI5DPB6vCM3xeJxYLFa6vdB9BWypdvoEi8hlCYKAfD5PPp+nUCiQz+fJ5XJks1kymQzZbLY0eZ436z6MMTQ2NtLS0kJzczPt7e0UnCQPHR3gi4/088ixowSBZc/aJt7zyi28akcnrrN4FycNTV48IB/Y0k6ysZUjveOcPHmS7du3L1p5ZKZjx45h+16gOzFJYu8b5rdRNQTkcm4M1l4XTjf9Anh56H8ezj0F54vTi98sWz8JbVuIt26muXkDzc3rw67tetZDfXs4gAngeR7ZbLb0dxpNuVyu9LccTb7vk8vlyOVyl/USjDG4rjtjisVis86fvtxxHBzHqbh/oXmO4+jCRVlQCsgiq1wQBARBgO/7pfvl83zfx/O80u2F7kdBuFAo4Pv+vMvgui7pdJp0Ok1DQ0PptqmpiaGMx1OnR/jeSyM8+d0XONIbjlLX1ZTkHQfXc+feHja2L87AH5ejIRlj/65tHD58iOPHj7Nt2zb9MC8Rz/N46aWX4NQjbFvXDptftdxFWhqxBHTvD6dIIQODR2HgCAy8GE5nfwyHvwY2KNu2LuyTuXENsXQXDQ3hRLoLmrtg7brw4sVpn+HyA+Boir4Dyr8P5ppX/r2xVGYLzdMDdHRbfn+22/muN32fCz0BpeeI7uv7ZmnUbEAuFAocPny49Lj8Azf9wzfXsrnWu9J9zWebKy3jfCz1H+FCP1906n767cXmXcm2F9tHEARYay86BUH4Azef9WcLvuXTYik/BRvdlrdtrKurK92Px+N4fsDJoQzH+ic4enyCl/pPcaR3nN7RsIYqEXO4qqeJ996yhVds62Bze/2K/SG48+Au/s8fPcmRMwPsPX+e7u7LH5xE5u/FF1+kMDFC+9hztL3qp8PgWKvidWH76+ltsP0CjJ6BkVPF6SSMnobxXuh7vlibXtmsCTcBda3FqQVSLTh1LaTqWkmV5rdCugmSTZBsgFhqRqguV34APtsUhei5ls32XVb+XXeh771aMN9gPT0zzGfe5Wwzn3kXe67du3evqK4zazYge57Hiy++uNzFEFl0F6pRKT+lWX471/3yQDy9jWEm7zM4mWdwPM+J0SxnT09wdmSAcyNZzo5k6RvPEQS2WCbDhtY6rupp4m0Hmtm3rontnQ1X3I/xUrlzfw9/3LWOR14aZMczz9DV1bWivthXo7GxMY4cOQIvfYfdHQb2v225i7QyuXFo3RROs/E9mOiDid6w+7uJ3vBxZmhqGj4Z3hYm534e40KysTg1QKLsfrIRJ9GAk0gTj9dBvD4M1Il0eBuvg7p6iKfDZW78gmF7vuYK01FFw+XeXuq6s01R+cofl1eGzKfiZPq206/fqHa7du1a7iJUqNmAHIvF2LNnz5w1iNMfX+p6l7OvK93mcva1FJbzj/hCtfqXOu9itfQX28dsUxSq5nuKbrb1LhR+L+d0nLWWnBcwmi0wkfMZyBYYH/cYy3mMZ7OMZQuMZDyGJvMMTOQZmghvc4WZTS5a0wl6mlPsW9dET3MdG9vq2dKZZkNrPYlY9QbKplScO1++ny//6zfoHRzhueeeY8+ePctdrFXL930ef/xxgtwEG0d+SNuNt0PHjuUuVnVyY9DUE04X4+UgMzwVnHNjkBuF/ETx/hjkx6fuT/ZDrvjYy8y/TMYNQ3O8Phz1MF4f9vARS4W127Fk8TYVnjWI7pdu4xBL4cSSONH6sWTYNjuWDJc7cYgnwtfvxIvzYgsSzJfahUJzeeAuX3clz4tuV9oZw5oNyPF4nG3bLjI8qcgKY62l4FsKfkDBD8j7AXkvoFAI5+U9j4IfkPMCsgW/OIX3M8UpehxNmbLH4zmP8ayHH1z4oKYhFaMtnaCtPsHu7kZa0wna0wla6hO0NyToakyypil10aGbq9nP3LiZr/1oK9949gzpZIx0Os2mTXPU2sllC4KAxx9/nNHRUdInHmBPu4WX/fxyF6s2xJLQuCacLpXvhTXQhUzZbdl9LwP5yfCxl525jpcL72dHwuVeDvz81K2fX5jX6JQFZjcehm4nNhWqpwfq0vx45X3HLe4rFgb+0mM3XMdxwTjF2nK3bL4TPi7Nj7Yp358zdd9xMU4M47hl68em9r/CQmY1q9mADMBz/xL+AULxA+gCZpb7ztT9C07mAvtwZ3+eS96HCdfRHwFQPGK24a1vLdZCYC1+MDU/sOAHdup+6ZRZ2f3ismhbW9zGC8JlBT8gCMALgqn5gaVQvPUCix8EU/P9cLtwvsXzw/J5foBvLb4/tSya7/mWfDH4RiE4700F4YIXzrsSybhLXdwhFXdJxV3qirdNqRh1cZd0MkZDMkZjKka6eNuYitGQjNOQCpc1JGOL2pNEtdjSkeYdN1/FZ74xwf6+cXjySSYmJti1axeuu3oPDJZSPp/n8ccfp6+vj/jYSW7wHiZ+8KdgjWrrVzw3Bm5T2H3dYgiCYlDOhb18eNmyAJ0Lb0thuhB2k+dHU7742JuaH3gz15u+rDBZuU1pnXy4ThCEt3b+FzAvuCigR9nFOFOBPLpvTFnwnj7fLds+CuFl+7nQNhXbzrFNVGs//TnSHbDjjuV732ZR0wF54jt/Qmzi3NTlCmV3Zq0/s9NWm7mobIadc91pq1x4P9g51nOwxmAxWOOEtzhl98vnuwTRuhTnGUNAGPwD4xTnh/sNiusExWUQrhsU1wlKz1O8bw1BcX+W6NYhKC4PJ0Ngw336xdto8q1LAPjW4BfXC9dxivPC/fhB8b518DF41gAGn6nXHD2XLd1Gr296+Uzl6yy+F/6MdaftC6e0v+n7mr6ucVxc1yHmGlxjiLkOrjG4jgnnOdH84jzHIRlzaUzFSLgOcdchHgtvE64JHxfnJV2HeMwUl4Xzom0SMYe4a6hPxEjFHVIxl7qES8J1cBRsF9S7X7GZR44N8k8nT/DTqRy8+CJnzpxhy5YtrF+/Xn0kXyZrLSdPnuS5554jl8uR8Ca4aeBvaehcDy//4HIXT1YCxwEnFTbJWGmsDXsSCbzi5Ffe2vLHfvjYLxTnB2HoLm3jle0rnGcDD1u2PLpv/XBZuE8LgY+N9mmD4v3oOYNwO+sX9x+U7tvAB98Hz8PYHNYGU/ss7sNE+4rm2aBsX+GtKd83ASbw58xEhfbdNCggrxwfDn6FAW8yjDU2ijiURRxbEXscAoylLA6BU4xnhDF0ajsbVMwvRtqKfVfMt37Zc0+Vo/x5DBZji/sw4XI32peJyli2nQG3FOHs1H0zVW4DFeV2S683KqtXFpnDebFp742peO1l69rKec6096fi/bUBFLPb9Ag3VVluKLs7oxI9fGxm7GPGemUzzYz55Y8NxX8V+5kxf/pzT38d0VG2dQGH8L/dnTqK9mY5i1D+eLYzEaUj+DnOQpQf3Vfcd2fuf/oUnTGpOOJ3ptU4uDNrIBz3AuuWb2Mucd3YzP2vkFOJ6WSM//Ot+/nQZz2+cHKEu9fn2UyGZ555hmeeeYbm5mZaWlpobGwknU6TTCZJJpPE43HVMk9jrWVsbIyzZ89y6tQpJifDC8TakgHX9/4NdfEC3P2H4UVgCygoniWKzkD5xceW4m978X5QPNMUVVhEZ51s2ZmroGzZ1NmtC29b2kexLNFzYSmd1bJl+7QV+yzbtuxx6TkCZm5btm55RU60z6iMFsq2KS975ePy/Zava8OFFfsufy5bWha1QZ1j37PsN1w+9V5MXxZtV76P8vem4rXZqSqx6P+Liv2Vl6GyvJboPS6fV/meRGUIZnlPbMVrmLnv8DZWLFv8wjVuVcIUf/vdYgaJssg228gfLnfhpjGLdQGVMeZO4I8AF/if1trfmWvdgwcP2kcffXRRynEhh06NkPf98EImKN06xkyFHDP12CnOdIphyDGUbTu13BTnOyYMU8Ywtf9p+zGY8Ld+juef7blXWkP2BRMddU+fAh+IjsjDg4roCLU0VcyL9uPPct8vfhOVr+vP8rx29jJEzwEzyzDrPqYfYU+/P8e2gV/5HNFzz/o6Z5ui552tDHO8xhmvc6q2YFlPGc6lIkw7VIb22FSgLrUbLL8ftf+rfByYGNaJ4camtTucsX6sbH8xBrOW//G9k5wcztKddthYb2lJWMyM54/aNIbhOLqYMrqgEphxO9u8+XavNNey2fqFtRh8C34AfvG+59vweM4UzwBZwkN2Y/ACGx7+FrcJD+2L96NwR7ie5/l4QUCh4OMFPvl8gVwu7Fs3m8mQmRxjcnwcz/NKTZ7cZB3XNI3xU7kv4OLzxe7/yPHkjlLYjJpRTQXcMGBEATdqQhVYC75HYKFgndL20bYyi/LfM4q/adFv2bT5Fb+XTP3ORfdh6rcOM9v+pu4TbU/lb11pm7Lf23C+Cf/0K/Ztyp5j6jFlz+OUbV8qQ7Re+esqew3h6yh/bVPzyvc94/WV7SOa7xgqXu/0fTN9H9PKNv19puLx7Puh7DWV5k9776P9TM8u0fqUzavMOzP/D8r/38v3M/29is5qphMx9qxdpOY4F2GMecxae3D6/EWpQTbGuMCfAncAp4BHjDFfttY+sxjPd7n2r29e7iJIuaiGE9WsrTjlYbp0yi86XWjLThv6Zbfl60a30+eVrxttW77/ufYzfd2oHGWnMP1ppymjNodRW8LAn2pDWDwt6Ux7jF9gPtU2bcCvWhhzPcaHC/iDYQDLFCzZAmS8gLxvyXuQ9wN86+AbF4qBPArpgYmVQnpA+Ng3xVtcfOPi4+KZGB7hVChO+fJb65KzcXK45IIYOetSCAxeAIWg2Ba+2HY+ur/YUTH6MXRM2KTIccA14WPHAQdDPJmivrGZ/Q3DvM5+nZ2TT3E+sZEvdf0iQ8n1xIqB3jGE+zBT+zOmuL/S/OnrhD/c4TwqtnVMWLaoPFFAcpzyyomp+VEIiPZTqsQoWx6VgbLnKg83UQCM9gFTwWxqn9E6lRUxZtq2UQB0ytZ1zFTly/SKltkC4KqufBG5DIvVxOIG4Ii19iiAMeZzwJuBFRWQRWSeyg9e3Phyl2bRDE3MMtR0FLL98uCcp7J9YQHjF2gKPNJegWdOD3L4zCDHe4cZGR/H+AUSFIhTIIZH3HrEbB7XFoj5eZzi47idir1xPOI2Q8yG92M23Na1HnFbwDB1qra8CsgA1imrsXHDcGRx8J0EBZPAdxJ4TgLfJPGcBIGbJCjOt24C6yaxsSTWSRRv41g3QeAksG4c3BS4LqbY1ZZx4xgngTF2KpBhcYqPY65LLFY5fHAymSSRSFDnWhr9YRry56gbfBZO/CuMnwtHdzvwa6y5+h6uvtIBQaptqGkRWXaLFZDXASfLHp8CbixfwRhzH3AfwMaNGxepGCIi8zc0OUtAjrpcis3vgjsX2L8JokGBg8DSN55jYDzPRN5jPOeRK/gVbSYDa4k54YWc8bILMmOuKV18Gd1PxBzijiFOgbgtkLA5HD8LhWzYdVYhW+wWK1vsTiu6zZV1n1W8LV+/MAne4NQ2fj5sLz/vkYJNcRCIVPG22JdtvC5cVn6GwffC/nQzw5X95SYaYP1BeMWHYNttCzdSngKyiFyixQrIs52nqTiDZ639JPBJCNsgL1I5RETmbWvnwl4ABuGp+zVNKdY0LfTV9ovcQ0bgF4Nzdlqwnh68Z7udrAzsEB5kxBPF8/tx6NgOqZYwtLZshLZt0Lx+6kLUhdSxfeH3KSKr2mIF5FPAhrLH64Ezi/RcIiKy0Bw3HBo4kQbal7s0IiJLarHGen0E2GGM2WKMSQD3AF9epOcSEVkQfWM5+sZyy10MWWjjveEkIjJPixKQrbUe8EHgfuBZ4AvW2qcX47lERBbKWLbAWLaw3MWQhZYdDScRkXlatIFCrLVfAb6yWPsXEREREVkMi9XEQkRERESkKikgi4iIiIiUUUAWERERESmjgCwiIiIiUkYBWURERESkjAKyiIiIiEgZBWQRERERkTLGWrvcZcAY0wccX+5yLLEOoH+5C1FD9H4vLb3fS0fv9dLS+7209H4vnVp9rzdZazunz1wRAbkWGWMetdYeXO5y1Aq930tL7/fS0Xu9tPR+Ly2930tH73UlNbEQERERESmjgCwiIiIiUkYBefl8crkLUGP0fi8tvd9LR+/10tL7vbT0fi8dvddl1AZZRERERKSMapBFRERERMooIC8RY8znjTFPFKdjxpgn5ljvmDHmUHG9R5e4mKuGMea3jDGny97zu+ZY705jzPPGmCPGmF9f6nKuFsaYTxhjnjPGPGmM+ZIxpmWO9fT5vkwX+6ya0H8vLn/SGHP9cpRzNTDGbDDGfMsY86wx5mljzEdmWec1xpiRsu+Y31yOsq4WF/tu0Od7YRhjdpV9Zp8wxowaY35p2jr6bAOx5S5ArbDW/lR03xjze8DIBVa/1Vpbi30RLrQ/sNb+7lwLjTEu8KfAHcAp4BFjzJettc8sVQFXka8DH7XWesaY/wZ8FPi1OdbV5/sSzfOz+gZgR3G6Efjz4q1cOg/4FWvt48aYRuAxY8zXZ/lu+K619u5lKN9qdaHvBn2+F4C19nngWih9r5wGvjTLqjX/2VYN8hIzxhjgHcBnl7sswg3AEWvtUWttHvgc8OZlLlNVstZ+zVrrFR/+AFi/nOVZhebzWX0z8P/Z0A+AFmNMz1IXdDWw1p611j5evD8GPAusW95S1Tx9vhfe7cCL1tpaG6htXhSQl94twHlr7eE5llvga8aYx4wx9y1huVajDxZPxX3aGNM6y/J1wMmyx6fQj+BCeA/wr3Ms0+f78szns6rP8yIwxmwGrgN+OMvilxtjfmyM+VdjzN6lLdmqc7HvBn2+F949zF1ZV/OfbTWxWEDGmG8A3bMs+g1r7T8W7/80F649vtlae8YY0wV83RjznLX2Owtd1tXgQu834em33yb80v1t4PcIg1vFLmbZVt26zGE+n29jzG8Qnp7+zBy70ef78szns6rP8wIzxjQAfwf8krV2dNrixwmHqB0vXuPwD4Sn/+XyXOy7QZ/vBWSMSQA/Qdgcbjp9tlFAXlDW2tdeaLkxJgb8JHDgAvs4U7ztNcZ8ifDUqgLELC72fkeMMf8D+OdZFp0CNpQ9Xg+cWYCirUrz+Hy/C7gbuN3O0X+kPt+XbT6fVX2eF5AxJk4Yjj9jrf376cvLA7O19ivGmD8zxnSoff3lmcd3gz7fC+sNwOPW2vPTF+izHVITi6X1WuA5a+2p2RYaY9LFC0IwxqSB1wFPLWH5Vo1pbdPeyuzv4yPADmPMluLR9D3Al5eifKuNMeZOwovyfsJaOznHOvp8X775fFa/DPxc8Wr/m4ARa+3ZpS7oalC8VuRTwLPW2t+fY53u4noYY24g/D0dWLpSrh7z/G7Q53thzXk2W5/tkGqQl9aM9j7GmLXA/7TW3gWsAb5U/FzGgL+x1n51yUu5OvzfxphrCU/BHQPeB5Xvd7HHhQ8C9wMu8Glr7dPLVN5q9ydAkvDUKMAPrLW/oM/3wpjrs2qM+YXi8r8AvgLcBRwBJoF/v1zlXQVuBn4WOGSmuuT8GLARSu/324D3G2M8IAPcM9eZE7moWb8b9PleHMaYesIecd5XNq/8vdZnG42kJyIiIiJSQU0sRERERETKKCCLiIiIiJRRQBYRERERKaOALCIiIiJSRgFZRERERKSMArKIiIiISBkFZBERERGRMhooRERkBTLGbAa+CvwQuA54Afg54Bng88CtxVV/xlp7xBjzl4Sd+u8GNhEOpPAu4OXAD621717C4ouIVDXVIIuIrFy7gE9aa68GRoFfLM4ftdbeQDiC4R+Wrd8K3Ab8b8A/AX8A7AX2F0eWFBGReVBAFhFZuU5aa/+teP9/Aa8s3v9s2e3Ly9b/p+KQsIeA89baQ9baAHga2LwE5RURWRUUkEVEVi47x2M7xzq54m1Qdj96rCZ1IiLzpIAsIrJybTTGRDXEPw18r3j/p8puH1ryUomIrHIKyCIiK9ezwLuMMU8CbcCfF+cnjTE/BD5C2N5YREQWkAmbq4mIyEpS7MXin621+6bNPwYctNb2L0e5RERqgWqQRURERETKqAZZRERERKSMapBFRERERMooIIuIiIiIlFFAFhEREREpo4AsIiIiIlJGAVlEREREpIwCsoiIiIhImf8/HxNI1ZowkooAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "FIDresult = pyAMARES.fitAMARES(\n", " fid_parameters=FIDobj,\n", " fitting_parameters=params_hsvd,\n", " method=\"least_squares\",\n", " ifplot=True,\n", " inplace=False,\n", ")" ] }, { "cell_type": "code", "execution_count": 8, "id": "c6d61aa1", "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
 amplitudesdCRLB(%)chem shift(ppm)sd(ppm)CRLB(cs%) LW(Hz)sd(Hz)CRLB(LW%)phase(deg)sd(deg)CRLB(phase%)gg_sdg (%)
name               
18.0050.0571.234-1.2000.0010.10050.8850.507221.9010.0230.4062457.7620.0000.000inf
29.9740.0801.3952.0000.0020.133100.5531.131498.422359.8760.459524.7320.0000.000inf
\n" ], "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "FIDresult.styled_df" ] }, { "cell_type": "code", "execution_count": 9, "id": "264c19bf", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([-8.33333333, -8.31704138, -8.30074943, ..., 8.30074943,\n", " 8.31704138, 8.33333333])" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "FIDobj.ppm" ] }, { "cell_type": "markdown", "id": "5c5bde71", "metadata": {}, "source": [ "# Frequency-Selective AMARES" ] }, { "cell_type": "markdown", "id": "cfd91309", "metadata": {}, "source": [ "## Method 1: frequency-selective AMARES using MPFIR filter \n", " - References: \n", " 1. Vanhamme et al, J Mag Reson 143, 1-16(2000)\n", " 2. Sundin et al, J Mag Reson 139, 189-204 (1999)" ] }, { "cell_type": "code", "execution_count": 10, "id": "9b8ddc20", "metadata": {}, "outputs": [], "source": [ "from pyAMARES import filter_param_by_ppm" ] }, { "cell_type": "code", "execution_count": 11, "id": "ab9e7353", "metadata": {}, "outputs": [], "source": [ "fit_ppm = (-0.5, 8.2) # ppm" ] }, { "cell_type": "code", "execution_count": 12, "id": "b0157fe3", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "FIDobj2 = pyAMARES.filter_fid_by_ppm(FIDobj, fit_ppm=fit_ppm, ifplot=True)" ] }, { "cell_type": "code", "execution_count": 13, "id": "7e23a49a", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "fit_Hz=[-150. 2460.]\n", "Check if the expr for all parameters is restricted to a parameter that has already been filtered out.\n" ] } ], "source": [ "param2 = filter_param_by_ppm(params_hsvd, fit_ppm=fit_ppm, MHz=FIDobj2.MHz)" ] }, { "cell_type": "code", "execution_count": 18, "id": "f233bc26", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "A copy of the input fid_parameters will be returned because inplace=False\n", "Autogenerated tol is 2.508e-06\n", "Fitting with method=least_squares took 0.025438 seconds\n", "pm_index2=[]\n", "The amplitude of index [0] is negative! Make it positive and flip the phase!\n", "No peaklist, probably it is from an HSVD initialized object\n", "There is no result_sum generated, probably there is only 1 peak\n", "Norm of residual= 26.493\n", "Norm of the data=668.985\n", "resNormSq / dataNormSq = 0.040\n", "plotParameters.xlim=None\n", "xlim=None\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/home/xujia/gitlab/pyAMARES/pyAMARES/util/crlb.py:171: RuntimeWarning: Warning: pm_index are all NaNs, return None so that P matrix is a identity matrix!\n", " warnings.warn(\"Warning: pm_index are all NaNs, return None so that P matrix is a identity matrix!\" , RuntimeWarning)\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "FID_result_positive_ppm_peak = pyAMARES.fitAMARES(\n", " fid_parameters=FIDobj2, # Filtered FID object\n", " fitting_parameters=param2,\n", " method=\"least_squares\",\n", " ifplot=True,\n", " inplace=False,\n", ")" ] }, { "cell_type": "code", "execution_count": 19, "id": "d83e0b57", "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
 amplitudesdCRLB(%)chem shift(ppm)sd(ppm)CRLB(cs%) LW(Hz)sd(Hz)CRLB(LW%)phase(deg)sd(deg)CRLB(phase%)gg_sdg (%)
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29.0160.0570.8162.0000.0020.079100.5960.904295.483108.8650.3640.5360.0000.000inf
\n" ], "text/plain": [ "" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "FID_result_positive_ppm_peak.styled_df" ] }, { "cell_type": "markdown", "id": "fbbcc974", "metadata": {}, "source": [ "## Method 2: Frequency-Selective AMARES using Objective Function with frequency range" ] }, { "cell_type": "code", "execution_count": 22, "id": "beaa817a", "metadata": {}, "outputs": [], "source": [ "??pyAMARES.objective_range # Check the `objective_function` in the Jupyter notebook cell" ] }, { "cell_type": "code", "execution_count": 20, "id": "1c4c2e60", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "A copy of the input fid_parameters will be returned because inplace=False\n", "Autogenerated tol is 4.080e-06\n", "Fitting range -0.4969045291625935 ppm to 8.202997719126751 ppm!\n", "Fitting with method=least_squares took 0.014351 seconds\n", "pm_index2=[]\n", "No peaklist, probably it is from an HSVD initialized object\n", "There is no result_sum generated, probably there is only 1 peak\n", "Norm of residual= 1042.881\n", "Norm of the data=1848.810\n", "resNormSq / dataNormSq = 0.564\n", "plotParameters.xlim=None\n", "xlim=None\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/home/xujia/gitlab/pyAMARES/pyAMARES/util/crlb.py:171: RuntimeWarning: Warning: pm_index are all NaNs, return None so that P matrix is a identity matrix!\n", " warnings.warn(\"Warning: pm_index are all NaNs, return None so that P matrix is a identity matrix!\" , RuntimeWarning)\n" ] }, { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "FID_result_positive_ppm_peak2 = pyAMARES.fitAMARES(\n", " fid_parameters=FIDobj,\n", " fitting_parameters=param2,\n", " fit_range=fit_ppm, # Instead of filtering out the spectrum, (-.5, 8.2) ppm\n", " # is passed to the objective_func\n", " objective_func=pyAMARES.objective_range, # This objective_range can accept the `fit_range` argument\n", " method=\"least_squares\",\n", " ifplot=True,\n", " inplace=False,\n", ")" ] }, { "cell_type": "code", "execution_count": 21, "id": "fc3499fd", "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
 amplitudesdCRLB(%)chem shift(ppm)sd(ppm)CRLB(cs%) LW(Hz)sd(Hz)CRLB(LW%)phase(deg)sd(deg)CRLB(phase%)gg_sdg (%)
name               
29.7720.1234.4792.0170.0030.42399.1681.7491598.949354.1570.72335.8060.0000.000inf
\n" ], "text/plain": [ "" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "FID_result_positive_ppm_peak2.styled_df" ] }, { "cell_type": "code", "execution_count": null, "id": "7d0638fc", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "mrs", "language": "python", "name": "mrs" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.13" } }, "nbformat": 4, "nbformat_minor": 5 }