{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Analyze a BigDFT run from a Logfile class" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This small tutorial will show how to inspect the result of a BigDFT calculation from the `Logfile` class.\n", "An instance of this class is returned after the execution of a calculator. \n", "Technically, such instance is constructed from the `yaml` file which is associated to the logfile of the actual run of the `bigdft` core executable." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For this reason, it is possible to inspect already existing runs by manually instantiating the class from a `yaml` logfile.\n", "In order to do that we can load the Logfiles module:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "from BigDFT import Logfiles as L\n", "from os.path import join\n", "datadir = 'testfiles'" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Executing: wget https://raw.githubusercontent.com/BigDFT-group/resources/main/datalake/Logfilesbasics.tar.gz -O lfs.info\n", "--2025-01-17 17:45:22-- https://raw.githubusercontent.com/BigDFT-group/resources/main/datalake/Logfilesbasics.tar.gz\n", "Resolving raw.githubusercontent.com (raw.githubusercontent.com)... 2606:50c0:8001::154, 2606:50c0:8002::154, 2606:50c0:8000::154, ...\n", "Connecting to raw.githubusercontent.com (raw.githubusercontent.com)|2606:50c0:8001::154|:443... connected.\n", "HTTP request sent, awaiting response... 200 OK\n", "Length: 132 [text/plain]\n", "Saving to: ‘lfs.info’\n", "\n", " 0K 100% 12.4M=0s\n", "\n", "2025-01-17 17:45:22 (12.4 MB/s) - ‘lfs.info’ saved [132/132]\n", "\n", "\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ " % Total % Received % Xferd Average Speed Time Time Time Current\n", " Dload Upload Total Spent Left Speed\n", "100 902 100 747 100 155 2891 599 --:--:-- --:--:-- --:--:-- 3496\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Executing: wget https://github-cloud.githubusercontent.com/alambic/media/547350918/aa/e1/aae1517fb137fb3ae7c6cacfb84a07a3e85ca12687afc3906dfa797abe665a76?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIA5BA2674WPWWEFGQ5%2F20250117%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20250117T174522Z&X-Amz-Expires=3600&X-Amz-Signature=c376af550f0f201242e1f7a93f021e06a9be79a87c186000815bf6cb6e869600&X-Amz-SignedHeaders=host&actor_id=0&key_id=0&repo_id=596478275&token=1 -O ./Logfilesbasics.tar.gz\n", "--2025-01-17 17:45:22-- https://github-cloud.githubusercontent.com/alambic/media/547350918/aa/e1/aae1517fb137fb3ae7c6cacfb84a07a3e85ca12687afc3906dfa797abe665a76?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIA5BA2674WPWWEFGQ5%2F20250117%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20250117T174522Z&X-Amz-Expires=3600&X-Amz-Signature=c376af550f0f201242e1f7a93f021e06a9be79a87c186000815bf6cb6e869600&X-Amz-SignedHeaders=host&actor_id=0&key_id=0&repo_id=596478275&token=1\n", "Resolving github-cloud.githubusercontent.com (github-cloud.githubusercontent.com)... 185.199.110.154, 185.199.108.154, 185.199.111.154, ...\n", "Connecting to github-cloud.githubusercontent.com (github-cloud.githubusercontent.com)|185.199.110.154|:443... connected.\n", "HTTP request sent, awaiting response... 200 OK\n", "Length: 1074180 (1.0M) [application/x-gzip]\n", "Saving to: ‘./Logfilesbasics.tar.gz’\n", "\n", " 0K .......... .......... .......... .......... .......... 4% 3.64M 0s\n", " 50K .......... .......... .......... .......... .......... 9% 5.80M 0s\n", " 100K .......... .......... .......... .......... .......... 14% 18.1M 0s\n", " 150K .......... .......... .......... .......... .......... 19% 20.6M 0s\n", " 200K .......... .......... .......... .......... .......... 23% 33.4M 0s\n", " 250K .......... .......... .......... .......... .......... 28% 8.09M 0s\n", " 300K .......... .......... .......... .......... .......... 33% 32.2M 0s\n", " 350K .......... .......... .......... .......... .......... 38% 59.4M 0s\n", " 400K .......... .......... .......... .......... .......... 42% 30.8M 0s\n", " 450K .......... .......... .......... .......... .......... 47% 31.8M 0s\n", " 500K .......... .......... .......... .......... .......... 52% 5.08M 0s\n", " 550K .......... .......... .......... .......... .......... 57% 71.7M 0s\n", " 600K .......... .......... .......... .......... .......... 61% 157M 0s\n", " 650K .......... .......... .......... .......... .......... 66% 178M 0s\n", " 700K .......... .......... .......... .......... .......... 71% 12.3M 0s\n", " 750K .......... .......... .......... .......... .......... 76% 7.05M 0s\n", " 800K .......... .......... .......... .......... .......... 81% 93.8M 0s\n", " 850K .......... .......... .......... .......... .......... 85% 164M 0s\n", " 900K .......... .......... .......... .......... .......... 90% 161M 0s\n", " 950K .......... .......... .......... .......... .......... 95% 19.2M 0s\n", " 1000K .......... .......... .......... .......... ......... 100% 137M=0.07s\n", "\n", "2025-01-17 17:45:23 (15.6 MB/s) - ‘./Logfilesbasics.tar.gz’ saved [1074180/1074180]\n", "\n", "\n" ] }, { "data": { "text/plain": [ "['log-mpro.yaml',\n", " 'GEOPT-all_sqnmbiomode.out.ref.yaml',\n", " 'log-K.yaml',\n", " 'log-HBDMI.yaml']" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from futile.Utils import data_path, untar_archive\n", "archive='Logfilesbasics.tar.gz'\n", "data_path(archive)\n", "untar_archive(archive,dest=datadir)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us now load a file into a instance of a Logfile class. Imagine that our logfile corresponds to a single-point run, and it is present in a file named name `log-HBDMI.yaml`:\n" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "HBDMI = L.Logfile(join(datadir,'log-HBDMI.yaml'))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "From this instance it is also possible to visualize the system associated" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "from BigDFT import Systems as S\n", "\n", "sys = S.system_from_log(HBDMI,fragmentation='atomic')" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "application/3dmoljs_load.v0": "
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To inspect its behaviour we might print it down to inspect the usual information:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "- Atom types:\n", " - C\n", " - N\n", " - O\n", " - H\n", "- cell: Free BC\n", "- number_of_orbitals: 41\n", "- posinp_file: HBDMI.xyz\n", "- XC_parameter: 1\n", "- grid_spacing: 0.3\n", "- spin_polarization: 1\n", "- total_magn_moment: 0\n", "- system_charge: 0\n", "- rmult:\n", " - 5.0\n", " - 8.0\n", "- dipole:\n", " - -0.19551\n", " - -0.61908\n", " - -0.096593\n", "- energy: -127.35074499502582\n", "- fermi_level: -0.1921099447862\n", "- forcemax: 0.01730347812308\n", "- forcemax_cv: 0.0\n", "- gnrm_cv: 0.0001\n", "- nat: 28\n", "- symmetry: disabled\n", "- No. of KS orbitals:\n", " - 41\n", "\n" ] } ], "source": [ "print(HBDMI)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The above information can also be accessed separately, by having a look at the attributes of the HBDMI object:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/plain": [ "['label',\n", " 'srcdir',\n", " 'log',\n", " 'number_of_orbitals',\n", " 'posinp_file',\n", " 'XC_parameter',\n", " 'grid_spacing',\n", " 'spin_polarization',\n", " 'total_magn_moment',\n", " 'system_charge',\n", " 'rmult',\n", " 'astruct',\n", " 'data_directory',\n", " 'dipole',\n", " 'energy',\n", " 'hartree_energy',\n", " 'ionic_energy',\n", " 'XC_energy',\n", " 'trVxc',\n", " 'evals',\n", " 'forcemax',\n", " 'forcemax_cv',\n", " 'forces',\n", " 'gnrm_cv',\n", " 'memory_peak',\n", " 'nat',\n", " 'symmetry',\n", " 'fermi_level',\n", " 'memory',\n", " 'datadir',\n", " 'timefile']" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "list(HBDMI.__dict__) #you may also type: dir(HBDMI)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Each of these attributes correspond to a specific quantity, which is documented in the [API](https://l_sim.gitlab.io/bigdft-suite/PyBigDFT/build/html/BigDFT.Logfiles.html).\n", "We here refer to some examples with the aim of showing some tests." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We might consider to postprocess some of the variables for study of the system. Here an example:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The average energy per atom is: -4.548240892679494 ( -127.35074499502582 Ha), 28 atoms)\n", "There are also, [41, 0] (up,down) orbitals in the run (if nspin)\n" ] } ], "source": [ "print('The average energy per atom is:',HBDMI.energy/HBDMI.nat,\\\n", " '(',HBDMI.energy,' Ha),',HBDMI.nat,' atoms)')\n", "print('There are also,',HBDMI.evals[0].info,' (up,down) orbitals in the run (if nspin)') #fix wrt to nspin" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is also possible to access directly the yaml serialization of the `bigdft` logfile with the `.log` attribute." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "['Code logo', 'Reference Paper', 'Version Number', 'Timestamp of this run', 'Root process Hostname', 'Number of MPI tasks', 'OpenMP parallelization', 'Maximal OpenMP threads per MPI task', 'MPI tasks of root process node', 'Compilation options', 'radical', 'outdir', 'logfile', 'run_from_files', 'dft', 'perf', 'lin_general', 'psolver', 'output', 'kpt', 'geopt', 'md', 'mix', 'sic', 'tddft', 'mode', 'lin_basis', 'lin_kernel', 'lin_basis_params', 'psppar.C', 'psppar.N', 'psppar.O', 'psppar.H', 'posinp', 'Data Writing directory', 'Atomic System Properties', 'Geometry Optimization Parameters', 'Material acceleration', 'DFT parameters', 'Basis set definition', 'Self-Consistent Cycle Parameters', 'Post Optimization Parameters', 'Properties of atoms in the system', 'Atomic structure', 'Box Grid spacings', 'Sizes of the simulation domain', 'High Res. box is treated separately', 'Poisson Kernel Initialization', 'Poisson Kernel Creation', 'Wavefunctions Descriptors, full simulation domain', 'Total Number of Electrons', 'Spin treatment', 'Orbitals Repartition', 'Total Number of Orbitals', 'Input Occupation Numbers', 'Wavefunctions memory occupation for root MPI process', 'NonLocal PSP Projectors Descriptors', 'Communication checks', 'Memory requirements for principal quantities (MiB.KiB)', 'Accumulated memory requirements during principal run stages (MiB.KiB)', 'Estimated Memory Peak (MB)', 'Ion-Ion interaction energy', 'Total ionic charge', 'Poisson Solver', 'Interaction energy ions multipoles', 'Interaction energy multipoles multipoles', 'Input Hamiltonian', 'Ground State Optimization', 'Last Iteration', 'GPU acceleration', 'Rho Commun', 'Total electronic charge', 'Multipole analysis origin', 'Electric Dipole Moment (AU)', 'Electric Dipole Moment (Debye)', 'Quadrupole Moment (AU)', 'Calculate local forces', 'Calculate Non Local forces', 'Timings for root process', 'BigDFT infocode', 'Average noise forces', 'Clean forces norm (Ha/Bohr)', 'Raw forces norm (Ha/Bohr)', 'Atomic Forces (Ha/Bohr)', 'Energy (Hartree)', 'Force Norm (Hartree/Bohr)', 'Memory Consumption Report', 'Walltime since initialization', 'Max No. of dictionaries used', 'Number of dictionary folders allocated']\n" ] } ], "source": [ "print(list(HBDMI.log))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We might access the Density of States of this system:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "DoS = HBDMI.get_dos(label='HBDMI molecule')\n", "ax = DoS.plot(sigma=0.2)\n", "_ = ax.set_title('Density of States, smearing 0.2 eV')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is also possible to inspect if the run have converged correctly.\n", "The plot below shows the average wavefunction residue norm during the SCF iterations." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "_ = HBDMI.SCF_convergence()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Case of a periodic system" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The above case was a Free BC molecule single point run. Let us now consider the case of a periodic calculation.\n", "We take as an example a logfile coming from one run of the DeltaTest benchmark (see [this page](https://molmod.ugent.be/deltacodesdft) to know what it is all about). In any case, let us load the `log-K.yaml` file:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "- Atom types:\n", " - K\n", "- cell:\n", " - 9.98888442684\n", " - 9.98888442684\n", " - 9.98888442684\n", "- number_of_orbitals: 13\n", "- XC_parameter: -101130\n", "- grid_spacing:\n", " - 0.332966147561\n", " - 0.332966147561\n", " - 0.332966147561\n", "- spin_polarization: 1\n", "- total_magn_moment: 0\n", "- rmult:\n", " - 10.0\n", " - 8.0\n", "- dipole:\n", " - -42.025\n", " - -42.025\n", " - -42.025\n", "- energy: -56.52301363451743\n", "- fermi_level: 0.0609691899665294\n", "- forcemax: 2.038812434232e-07\n", "- forcemax_cv: 0.0\n", "- gnrm_cv: 1e-08\n", "- kpt_mesh:\n", " - 15\n", " - 15\n", " - 15\n", "- nat: 2\n", "- stress_tensor:\n", " - - 5.126601876834e-07\n", " - 3.529303946071e-23\n", " - -1.058791184314e-22\n", " - - 3.529303946071e-23\n", " - 5.126601876383e-07\n", " - -8.215933604291e-33\n", " - - -1.058791184314e-22\n", " - -8.215933604291e-33\n", " - 5.126601877667e-07\n", "- symmetry: not prim.\n", "- No. of KS orbitals per k-point:\n", " - 13\n", "\n" ] } ], "source": [ "K = L.Logfile(join(datadir,'log-K.yaml'))\n", "print(K)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here we can see that there are also other attributes available, like the $k$-points and the pressure (in GPa):" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/plain": [ "['label',\n", " 'srcdir',\n", " 'log',\n", " 'number_of_orbitals',\n", " 'XC_parameter',\n", " 'grid_spacing',\n", " 'spin_polarization',\n", " 'total_magn_moment',\n", " 'rmult',\n", " 'astruct',\n", " 'data_directory',\n", " 'dipole',\n", " 'energy',\n", " 'hartree_energy',\n", " 'ionic_energy',\n", " 'XC_energy',\n", " 'trVxc',\n", " 'evals',\n", " 'fermi_level',\n", " 'forcemax',\n", " 'forcemax_cv',\n", " 'gnrm_cv',\n", " 'kpts',\n", " 'kpt_mesh',\n", " 'memory_peak',\n", " 'nat',\n", " 'stress_tensor',\n", " 'symmetry',\n", " 'nkpt',\n", " 'memory',\n", " 'datadir',\n", " 'timefile']" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "list(K.__dict__)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For example, the structural information can be accessed by:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'cell': [9.98888442684, 9.98888442684, 9.98888442684],\n", " 'positions': [{'K': [0.0, 0.0, 0.0]},\n", " {'K': [4.994442213, 4.994442213, 4.994442213]}],\n", " 'Rigid Shift Applied (AU)': [0.0, 0.0, 0.0],\n", " 'forces': [{'K': [1.721377403941e-25, 0.0, 0.0]},\n", " {'K': [1.721377403941e-25, 0.0, 0.0]}]}" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "K.astruct" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here we might also trace the density of states and the band structure, in a similar fashion:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "K.get_dos().plot()" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/bigdft/install/lib/python3.12/site-packages/BigDFT/Logfiles.py:412: UserWarning: No artists with labels found to put in legend. Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n", " ax2.legend(loc=\"upper right\")\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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QBEEQBGGCikOCIAiCIAjCBM1WtkNtbS0OHDiA0NBQeHlRLU0QBEEQPFBXV4eSkhJ07dqVyRhhd4I+LTscOHAAvXr1cnUzCIIgCIJwgD179qBnz56ubgZXUHFoh9DQUADCP67w8HCXtsW4r23Tpk1VFcuVDlYeykV9DlYeykV9DlYeHnPxhFhiKSoqQq9evUy/xwnxUHFoB+Ot5PDwcERGRrq0Lc2aNQMANG7cWFWxXOlg5aFc1Odg5aFc1Odg5eExF0+IJRUaEiYdKg45QqPRqDKWKx2sPJSL+hysPJSL+hysPDzm4gmxCOWhcpojqqqqUFVVpbpYrnSw8lAu6nOw8lAu6nOw8vCYiyfEIpSHeg45Qs7ZVixmbrGaHUa5eKaDlYdyUZ+DlYfHXDwhFqE8dLU4QqvVqjKWKx2sPJSL+hysPJSL+hysPDzm4k6x6urqUF1dbfV1nU7H7Bp5GlQcckRNTY0qY7nSwcpDuajPwcpDuajPwcrDYy7uEqu6uhr5+fmoq6uzeV7Tpk0RFhZGYxplhopDjuBtcDCPg7ld6WDlcRcHKw/loj4HKw+PubhDLIPBgKKiImi1WkRFRVmcbWwwGFBZWYkzZ84AgMuXmhPLu+++i88++wwGgwGJiYl47733VFnYUnHIEbyN/+BxvI4rHaw87uJg5aFc1Odg5eExF3eIVVtbi8rKSkRERMDf39/qeY0aNQIAnDlzBi1atFD9LeazZ89i/vz5+OOPP6DT6TBgwAD88ssv6Nu3r6ub1gAqDjmitrZWlbFc6WDloVzU52DloVzU52Dl4TEXd4il1+sBAD4+PnbPNRaPNTU1qi8OAeFzuHLlCgChzS1atHBxiyxDS9lwhMFggMFgUF0sVzpYeSgX9TlYeSgX9TlYeXjMxZ1iibndKuct2ZycHIwYMQIRERHQaDRYtWpVg3MyMjIQExMDPz8/9O7dG3v27BEdv3nz5pg+fTqio6MRERGBxMREtGnTRrb2ywn1HLoAvR7Yvh0oKgLCw4H+/QExf/DodDrZ2lA/VtnJMlSWVlo91z/EH0HRQU45lISFh3JRn4OVh3JRn4OVh8dcPCGWUlRUVKBLly6YNGkSkpOTG7y+fPlypKWlYcGCBejduzfS09MxbNgwHDlyxNQDGB8fb7GXdOPGjWjUqBF++uknHD9+HI0aNUJSUhJycnIwYMAAxXOTChWHjMnMBKZOBQoKrh2LjATeew+w8G/RDCW6+MtOlmF+h/movWI9trefN1KPpEouEHm8JeNKByuPuzhYeSgX9TlYeXjMxRNiSeXSpUu4ePGi6bmvry98fX0bnJeUlISkpCSrcebNm4fJkydj4sSJAIAFCxZgzZo1WLhwIZ599lkAQG5urtX3f/fdd2jbti2Cg4MBAHfccQd++eUXVRaHdFuZIZmZwNix5oUhABQWCsczM9m3qbK00mZhCAC1V2pt9iwSBEEQhFqJi4tDUFCQ6TFnzhzJMaqrq7Fv3z4kJiaajnl5eSExMRG7du0SFSMqKgo7d+7ElStXoNfrkZ2djQ4dOkhuCwuo55ARer3QY2hpyIXBAGg0wLRpwKhR1m8xq3UWmisdrDyUi/ocrDyUi/ocrDw85uJOscSMURRzTl5eHlq2bGl6bqnX0B6lpaXQ6/UIDQ01Ox4aGorDhw+LitGnTx8MHz4cXbt2hZeXF4YMGYKRI0dKbgsLqDhkxPbtDXsM62MwAKdOCecNGmT5HN66+Hm8JeNKByuPuzhYeSgX9TlYeXjMxR1iGWcdV1dXm5arsUZlpXBXy9aYxoCAAAQGBor2K8lrr72G1157zdXNsAsVh4woKpL3PIIgCIJwR7y9veHv74+zZ89Cp9PZXQS7adOmii9jExISAq1Wi5KSErPjJSUlCAsLU9TtCqg4ZITYxdttnefqfS7V6GDloVzU52DloVzU52Dl4TEXd4il0WgQHh6O/Px8nDhxwua5xu3zbJGQkACdToeUlBSkpKSIbkd9fHx80L17d2zZsgWjR48GIOz9vGXLFqSmpjoUU81QcciI/v2FWcmFhZbHHWo0wuv9+1uPYVwYVA7kjOVKBysP5aI+BysP5aI+BysPj7m4SywfHx+0a9cO1dXVVs/R6XSiis6srCxERkbaPa+8vBxHjx41Pc/Pz0dubi6Cg4MRHR2NtLQ0jB8/Hj169ECvXr2Qnp6OiooK0+xld8IjisOYmBgEBgbCy8sLzZo1Q1ZWFvM2aLXCcjVjxwqFYP0C0biGZ3q67fUO5VyMldXCriygXDzTwcpDuajPwcrDYy7uFMvLywt+fn6ytcEee/fuRUJCgul5WloaAGD8+PFYtGgRxo0bh7Nnz2LWrFkoLi5GfHw81q9f32CSijvgEcUhAOzcuRNNmjRxaRuSk4EVKxqucxgWBsyfb3+dQyUWJPUP8Ye3n7ft5Ww0gNZX+u0FHheQdaWDlcddHKw8lIv6HKw8PObiCbGUYtCgQXaL2NTUVLe8jXw9HlMcqoXkZGG5mu3bgQkTgBMngA8+sF8YAsp08QdFByH1SKrFdQyrLlXh+/u+R3lROX5+42fc9dVdDjmUhm4veaaDlYdyUZ+DlYfHXDwhllTkGHPoabh8EWyl9zIEhMGtAwcORM+ePbF06VKZWu44Wq2wXI1xyZo//hD3Pr1eL9t/sPqxgqKDEN4tvMEjZmAM7llxDzReGhxcchAHlx502KEkLDyUi/ocrDyUi/ocrDw85uIJsaSSlZWFvLw8Kgwl4PKeQ6X3MoyIiMCOHTvQsmVLFBUVITExEZ06dULnzp0Vz80exiYcFFlzuaKLP6pfFAbMGoBtL23Dmv+uQVS/KDSLbSarw1no9pJnOlh5KBf1OVh5eMzFE2IRyuPy4lDpvQwBmFZGDw8Px/Dhw7F//36rxWFVVRWqqqpMzy9duiQlHUlILQ5dNTh4wP8G4NimYzj18ylkPpCJiTkT4eVtv9OZx8HcrnSw8riLg5WHclGfg5WHx1w8IRahPC6/rWwLOfYyrKioMBV45eXl2Lp1K2666Sar58+ZM8dsD8a4uDjnkrCBsTg8ehSoqLB/fk1NDWpqamRxS4nl5e2F5CXJ8A30RcGuAuS8miO7wxlYeCgX9TlYeSgX9TlYeXjMxRNiEcqj6uLQ1l6GxcXFomKUlJTg1ltvRZcuXdCnTx88/PDD6Nmzp9XzZ86cibKyMtMjLy/PqRxs0aIFEBoqLGsjZtyhj48PfHx8ZHFLjdU0pinuWHAHACDnlRyc3HFSdoejsPBQLupzsPJQLupzsPLwmIsnxJJKQkIC4uLikJGR4RI/j7j8trLStG7dGr/99pvo8319fc025b548aISzTLRuTOwaZNwa7lXL0VVTtPpvk44uu4oDn51EJkPZuI/uf+BX1N2a1ARBEEQhFTELoJNXEPVPYeesJdhp07CVzHjDqurq22uFi8FR2MNnz8czVo3Q9mJMqz57xqb40jkbK8tWHgoF/U5WHkoF/U5WHl4zMUTYhHKo+risP5ehkaMexn27dvXhS2TDymTUnQ6nWwzvhyN5Rvoi+Svk6HRavD7N7/j4FfWGy5ne23BwkO5qM/BykO5qM/BysNjLp4Qi1AelxeH5eXlyM3NNc04Nu5lePKkMKYtLS0Nn376Kb788kv8+eef+O9//8tkL8OMjAzExcVhkHExQoUwFoeHDlnec7k+Go0GGuNee07iTKzI3pEY9NIgAMDalLU498852R1SYOGhXNTnYOWhXNTnYOXhMRdPiEUoj8vHHKp1L0PjSuoFBQWIiopSzNOxo7Ao9rlzwOnTwNVVdywi50wvZ2PdOvNW/LPxH5zcflJY3mb7RGh15lvssZqZxmo2IQvcJRf6vNTpcRcHKw+PuXhCLEJ5XN5zaNzL8PrHokWLTOekpqbixIkTqKqqwu7du9G7d2/XNVhm/PyADh2E7+3dWtZqtdBqpe9xrEQsL62wvI1fUz8U7i7EttnbZHeIhYWHclGfg5WHclGfg5WHx1w8IZZUaLaydFxeHBLixx2q7T9qUHQQ7vz4TgDA9te340TOCdkdYqBfEp7pYOWhXNTnYOXhMRdPiCUV2j5POlQcqgCxxaEaFyS96Z6bED8xHjAAmQ9m4vL5y7I77EGL4Xqmg5WHclGfg5WHx1w8IRahPFQcWoHVhBRAfHGo1sHBSe8nIbhtMC6euoifHv/JtLwNj4O5Xelg5XEXBysP5aI+BysPj7l4QixCeag4tEJKSgry8vKQnZ2tuMtYHB4+DNTb1rkBau3i92nig+Svk+Hl7YW87/KQuyhXdoct6PaSZzpYeSgX9TlYeXjMxRNiEcpDxaEKiIwEmjYFamuFAtEaer0eer1eFqecsQCgZc+WSHhFmHW+7sl1+Pfvf2V3WIOFh3JRn4OVh3JRn4OVh8dcPCEWoTxUHKoAjUbaYthqpd+MfogZFIOaihpk3p8JfTX9ICAIgiBcC81Wlg4VhypBzDZ63t7e8PaWZ2lKOWMZ8dJ64a6v7oJfMz+c3nsau9/YLbvDEkrk4goHK4+7OFh5KBf1OVh5eMzFE2JJhWYrS4eKQ5UgpuewtrYWtbW1svjkjFWfwMhAjPh0BABg97zdyN+aL7vjepTKhbWDlcddHKw8lIv6HKw8PObiCbEI5aHi0AosZysD7nFb2UjcmDh0fbQrYADWP74elf9WurpJBEEQBEGIhIpDK7CcrQwAN98sfC0uBs6etXwOT138t6ffjmbtmqH8dDl+euza8jZKQLeXPNPBykO5qM/BysNjLp4Qi1AeKg5VQpMmQJs2wveHDlk+h6cFSX0a++D2T2+Hl84Lf2b+iQOfH1DMRYvheqaDlYdyUZ+DlYfHXDwhFqE8VByqCHu3lnlbkDSsaxhueeEWAMD6qetReqRUEQ8thuuZDlYeykV9DlYeHnPxhFiE8lBxqCLsFYe8dfF7e3uj91O9ETskFjWVyi1vQ7eXPNPBykO5qM/BysNjLp4Qi1AeulIqwlgc/vwzsGwZEB4O9O8PaLWAXg9kZdWiuFi4/Ww87iisZuABwOgvR2NB5wUo2l+E1ZNXo8/UPhbP9w/xR1B0kMMeJWE1y85dcqHPS50ed3Gw8vCYiyfEkkpCQgJ0Oh1SUlJoORuRUHGoIoqKhK9//QXcf7/wfWQkcN99QrFYUHBtUkdkJPDee0BysmMuJSeIXO8IahmEIW8MwU+P/YSDiw/i4GLLXaPeft5IPZIquUBkmYs7eNzFwcpDuajPwcrDYy6eEEsqWVlZiIyMdJmfR6g4tEJGRgYyMjJQXV3NxJeZCTz5ZMPjBQXAW28Zn+lMxwsLgbFjgRUrHCsQdTqd/ZOcpL4jonuE3fNrr9SisrRScnHIOhfePe7iYOWhXNTnYOXhMRdPiEUoD405tALLpWz0emDqVMD+H1b6q49r506bJrxfupP2JVWbg5XHXRysPJSL+hysPDzm4gmxCOWhnkMVsH270ENoH/MxGwYDcOqU8H6pa3XTeB31OVh53MXBykO5qM/BysNjLp4Qi1AeKg5VgHGsoX18nXx/vUi+lmPJCQsHKw/loj4HKw/loj4HKw+PuXhCLEJ5qDhUAeHhYs+0fN9Z/PvrRaLB3KpzsPK4i4OVh3JRn4OVh8dcPCEWoTw05lAF9O8vzD62vz5o9dWHgEYDREUJ75dKdXW14pNtWDhYeSgX9TlYeSgX9TlYeXjMxRNiEcpDPYcqQKsVlqUZO1Yo+Kz/geVj+s5YSKanO7beoY+Pj/2TnISFg5WHclGfg5WHclGfg5WHx1w8IRahPNRzqBKSk4VlaVq2ND8eFQXMmCH0LAKaqw/huaPL2ADst57yD/GHt5/tv0W8/bzhH+LvlEcpeNxGy90drDyUi/ocrDw85uIJsQjloZ5DK7Be5xAQCr1Ro4TZx0VF5jukzJkDrF1bheJioF07f6d3SKmqqgIA+PtLL8YccQRFByH1SCoqSyvNztn6/FYcXXcUET0jcPd3dzu0QwrrXJTEXXKhz0udHndxsPLwmIsnxCKUh4pDKxi32SkoKEBUVBQzr1ZreVka4bhwuQICnPew2i+0PkHRQQ2Kvzs+vAPzO8zH6V9Po/RwKZq2auq0RwlY7QnqLrnQ56VOj7s4WHl4zMUTYkmFts+TDhWHHKF1pqtQwVjOOJrGNEXP1J74Zd4v2PzMZrRObA0vrbTRDmrJhRePuzhYeSgX9TlYeXjMxRNiSYW2z5MOjTnkiJqaGtTU1KgulrOOAf8bAL+mfig5WIJDSw8p5nEGFg5WHndxsPJQLupzsPLwmIsnxCKUh4pDjuBtcLBYR6PgRrh15q0AhDGINZel/QBRUy48eNzFwcpDuajPwcrDYy6eEItQHioOOcLb21u2cRtyxpLD0evJXgiMCsTFUxex54M9inkchYWDlcddHKw8lIv6HKw8PObiCbEI5aHikCNqa2tl259SzlhyOHSNdEh4JQEAsP317aj8t9LOOxzzOAoLByuPuzhYeSgX9TlYeXjMxRNiEcpDxSFHGAwG2bYgkjOWXI7OD3ZGaOdQVJVVYfvr2xXzOAILByuPuzhYeSgX9TlYeXjMxRNiEcpDxSFH6HQ66HQ61cWSy+Gl9ULi3EQAwK/zf8WF4xcU8TgCCwcrj7s4WHkoF/U5WHl4zMUTYhHKQ8UhR/DWxe+Io82wNogdEgt9tR5bn9+qmEcqPN5ecncHKw/loj4HKw+PuXhCLEJ5qDi0QkZGBuLi4jDI0orUhGJoNBoMfXMoAODQ0kMo2l/k4hYRBEEQhGdBxaEVUlJSkJeXh+zsbFc3xQRvM8ccdYR3C0en+zsBADY9s8nuOBU156JGj7s4WHkoF/U5WHl4zMUTYhHKQ8UhR/DWxe+MI+HVBGh9tMjfko9/Nv6jmEcsPN5ecncHKw/loj4HKw+PuXhCLEJ5qDgkVEmz2GbomdITALD5/zajTl/n4hYRBEEQhGdAxSFHaLVa2fanlDOWUo7+/+sP3yBflPxme1s9HnJRk8ddHKw8lIv6HKw8PObiCbEI5aHikCP0ej30er3qYinl8L/B32xbvdorlm9J8JCLmjzu4mDloVzU52Dl4TEXT4gllYSEBMTFxSEjI8Mlfh6h0aEcIecCoqwWdnWW3lN649f5v+LiqYvY/cFu3DLjFkU89mC1eKu75EKflzo97uJg5eExF0+IJZWsrCxERka6zM8j1HPIEbwtSCqHQ9dIh4RXhW31dry+A5fPXVbEY7cdHC6G6+4OVh7KRX0OVh4ec/GEWITyUHHIEbx18cvl6PxgZ7To1AJXLlyxuK0eT7moweMuDlYeykV9DlYeHnPxhFiE8lBxyBG8/UeVy+Gl9TItjL3ngz0NttXjKRc1eNzFwcpDuajPwcrDYy6eEItQHioOOYK3Ln45HW2GtUHsYGFbvawXshTzWIPH20vu7mDloVzU52Dl4TEXT4hFKA8VhxxhMBhkG9QrZywWDo1Gg8Q3EwEAB5ccRNGBa9vq8ZaLqz3u4mDloVzU52Dl4TEXT4hFKA8VhxxRU1ODmpoa1cVi5YjoHoGb77sZALD5mc2KeSzBwsHK4y4OVh7KRX0OVh4ec/GEWITy0FI2VsjIyEBGRgaqq6td3RQTPj4+qozF0jH4tcHIW5GHY5uP4Z+N/6DNbW24zcVVHndxsPJQLupzsPLwmIsnxCKUh3oOrZCSkoK8vDxkZ2e7uilEPZrFNkOv1F4AgE3PbIKhjm5TEARBEIScUHHIEdXV1bL1ZMoZi7Wj/rZ6B5ce5DoXV3jcxcHKQ7moz8HKw2MunhCLUB4qDjmCt5ljSjnMttX731Zo9Bpuc3GFx10crDyUi/ocrDw85uIJsQjloeKQIzQaDTQajepiucLRe0pvBEYG4uKpizjw8QGuc2HtcRcHKw/loj4HKw+PuXhCLEJ5qDjkCN5mjinp0DXSIeEVYVu93W/txqUzlxTxGOFx1qK7O1h5KBf1OVh5eMzFE2IRykPFIUdotVpotVqXxNLrgexsYNky4auYhe7lbK8lOj8kbKtXVVaFve/uVcwDKJ8LS4+7OFh5KBf1OVh5eMzFE2IRykPFIUe46j9qZiYQEwMkJAD33y98jYkRjsvlcAQvrRcS5woLY+d+nNtgWz054fGXhLs7WHkoF/U5WHl4zMUTYhHKQ8UhR7iiiz8zExg7FigoMD9eWCgct1UgsriN0Pb2togaEGVxWz054fH2krs7WHkoF/U5WHl4zMUTYhHKQ8UhR1ga0OvI7V5rsa5HrwemTgUs7XhkPDZtmnUnqwHj/V/uD6Dhtnpye3gbmO7uDlYeykV9DlYeHnPxhFiE8lBxyBHXd8s7ervXUixLbN/esMewPgYDcOqUcJ6jDjmI6BGBG+++EQCw+f822znbMXi8veTuDlYeykV9DlYeHnPxhFiE8lBxyBF6vR76q910ztzuvT6WNYpEdsJZO0+MQw70ej36Pd8PXjovHNskbKunhKN+LmUny1C0v8jqo+xkmSweJXAXBysP5aI+BysPj7l4Qiyeefvtt3HTTTfh5ptvxpIlS1zdHKvQ3socYu92r0Yj3O4dNQpw5g+18HB5z1OSoJgg9Ezpid3pu7HpmU1ondgaGi9lbmGUnSzD/A7zUXul1uo53n7eSD2SiqDoIEXaQBAEQfDFoUOH8PXXX2Pfvn0wGAxISEjAnXfeiaZNm7q6aQ2gnkOO8Pb2hre3t9O3e+vHskX//kBkpFBsWkKjAaKihPMcdciB0TPgfwPgG3htWz0lHABQWVppszAEgNortagsrXTKoxTu4mDloVzU52Dl4TEXT4jFK3/++Sf69u0LPz8/NGrUCF26dMH69etd3SyLUHHIEbW1taitrXX6dm/9WLbQaoH33hO+v75AND5PT7feOynGIQdGj3+IP3r8twcAYPMzm3Fq1ynZbveyzoUc6vFQLupzsPLwmIsnxFKKnJwcjBgxAhEREdBoNFi1alWDczIyMhATEwM/Pz/07t0be/bsER3/5ptvRnZ2Ni5cuIDz588jOzsbhYWFMmYgH55dxnMKy9u9ycnAihXCbez6vZWRkUJhmJzsvEMuyk6W4Zf0XwAA5cXlWNhvYYNznLnda6gzoOJsBUr/KnW6rQRBEIS6qKioQJcuXTBp0iQkW/jltnz5cqSlpWHBggXo3bs30tPTMWzYMBw5cgQtWrQAAMTHx1ssgjdu3Ii4uDhMmTIFgwcPRlBQEPr06aPaSTpUHHKEsUveeLu3sNDyuEONRnjd2u3e+rHEkJwsjF/84APgqaeAkBAgP9/+eEZWtxCMnrLSMuirbA94Nt7urV8cGou+8qJyXDp9CZeKLuHS6Uum5+VF5bh4+iIqiitQV1vHJBdyqMdDuajPwcrDYy6eEEsqly5dwsWLF03PfX194evr2+C8pKQkJCUlWY0zb948TJ48GRMnTgQALFiwAGvWrMHChQvx7LPPAgByc3NttuXxxx/H448/DgB49NFH0a5dO6npMIGKQ44wLiDq7y/c7h07VigE6xeIYm731o8lFq0WmDwZePppoLQUKC4GWrYU116lkerZ/tp21NXWmYrAihJpRZ9fUz9cuXBFajNFwWrBXXdwsPJQLupzsPLwmIsnxJJKXFyc2fMXX3wRL730kqQY1dXV2LdvH2bOnGk65uXlhcTEROzatUt0nDNnzqBFixY4cuQI9uzZgwULFkhqByuoOLRCRkYGMjIyUF1d7eqmmKi/gKi1271hYcD8+fZv9zqyGGnjxkDnzkBuLrB7tzIOR5Dq+TPzTwtBgMYtGiMgIgAB4QFoEt4EARHXvnoFeqFxWGOEtQ3DmUNn8En3T2Rq/XXNYLTgrjs4WHkoF/U5WHl4zMUTYkklLy8PLev1ZljqNbRHaWkp9Ho9QkNDzY6Hhobi8OHDouOMGjUKZWVlaNy4Mb744gvVTtJRZ6tUQEpKClJSUlBQUICoqChXNwdAw2554+3e7duBCROAEyeEW79ixgE6+g+yd2+hOPzlF/setd6S6Tq5KyK6RyAgPMBUADYJbQIvb+vzsyorhZnHWp2y40Pc5VaZWq+9Wh2sPO7iYOXhMRdPiCWVgIAABAYGusxfHym9jK6EikOOsDTIVasFBg0SHl9+CfzxBzBmjGOxxNCnD/Dxx0JxqJRDKlI9Pf/TE+HdpM3Wqe/wD/GHt5+33XUO/UP8JTmu9yiFuzhYeSgX9TlYeXjMxRNiuYKQkBBotVqUlJSYHS8pKUFYWJiLWqUcVBxyhMHS7JOrdOokfD0ocnk/W7Fs0aeP8HXvXqCmBtDp5HdIhYWnviMoOgipR1JN6xieP3Ye3939Hbx0XpiQPcFUGDo0I5pxLjw7WHkoF/U5WHl4zMUTYkklISEBOp3OdEfQEXx8fNC9e3ds2bIFo0ePBgDU1dVhy5YtSE1NlbG16oCKQ47Q2ajEOncWvh465HwsW7RvDwQFAWVlwO+/A127yu+QCgvP9Y6g6CBT8RfWNQwBEQG4dPoSaiprENXP8WEIrsiFVwcrD+WiPgcrD4+5eEIsqWRlZSEyMtLueeXl5Th69KjpeX5+PnJzcxEcHIzo6GikpaVh/Pjx6NGjB3r16oX09HRUVFSYZi+7E7QINkfY2pvSWBz+/TdQKWJjDkf3ufTyEsYdAvZvLbPel9R4u9cWjt7utZWLRqNB68TWAIBjm49Jji3WIxfu4mDloVzU52Dl4TEXT4ilFHv37kXXrl3R9WqvR1paGrp27YpZs2YBAMaNG4e3334bs2bNQnx8PHJzc7F+/foGk1TcAeo55AhbYzZCQ4HmzYGzZ4G8PKBHD8dj2aNPH2DjRqE4/O9/lXFIwehpFt3M7HavJRy93Wsvl9ZDW+O3xb/h2KZjwBuSw4v2yIG7OFh5KBf1OVh5eMzFE2IpxaBBg+ze/k5NTXXL28jXQ8UhR9ibft+5M7BlizDu0F5x6MhUfiPGnsPdu5VzSKG+p/7tXqUclogdEgsAKDpQhMrSSod6J8V45MBdHKw8lIv6HKw8PObiCbGkIseYQ7VSUVGBuXPnIjMzE8ePH4dGo0FsbCzGjh2L6dOnw9/fsd9FVBxyhL2/aDp1ulYcOhvLFsbi8MgR4Nw5IDhYfocU1DAwPSA8AC1uboEzv59B/tZ83HTPTYp45MBdHKw8lIv6HKw8PObiCbGkInbMIW9UV1dj4MCB+P3335GUlIQRI0bAYDDgzz//xGuvvYZ169YhJyfHofGeNOaQI6qrq20uyi1lUoq9WLa44QbAuOOPrT3HnXFIgYVHjCM2Ueg9dGbcoVpy4cHBykO5qM/BysNjLp4QixD46KOPUFBQgN9++w0rV67EnDlz8MYbb+CHH37Ab7/9hvz8fId3YKHikCN8fHzg4+Nj9XVjcXjwoOU9l6XEsoeYW8vOOsTCwiPG0WZoGwDAsU3HHP4rWS258OBg5aFc1Odg5eExF0+IRQhkZmbihRdeQIcOHRq8duONN+J///sfVqxY4VBsKg45QqPR2NyCKC5OmE1cWgpct06n5Fj2MK53aGvGsrMOsbDwiHG0GtAKXjovXDh+AeePnVfM4yzu4mDloVzU52Dl4TEXT4hFCOTl5WHQoEFWX09ISEBeXp5Dsak45IiqqipUVVVZfb1Ro2u3e+2NO7QXyx7G4nD3buu9lM46xMLCI8bh08QHUX2FNQ6PbXLs1rJacuHBwcpDuajPwcrDYy6eEEsqCQkJiIuLQ0ZGhkv8SnHhwgXccMMNVl+/4YYbUFZW5lBsKg45wtvb2+7+lGJ3ShETyxadOwN+fsD588Laiko4xMLCI9bh7LhDNeWidgcrD+WiPgcrD4+5eEIsqWRlZSEvL8/tZirX1dVBq9Vafd3Ly8vhtSVptjJH2PpHYKRzZ2DFCvuTUsTEsoVOB3TvDvz8s3BruX17+R1iYeER62gztA2yZ2Ujf2s+6vR18NJK+/tLTbmo3cHKQ7moz8HKw2MunhCLEDAYDBgyZIjVotuZtSWpOOSImpoau+fUn5TibCx79OlzrTh8+GFlHGJg4RHriOgRAd8gX1w5fwVF+4vQsmdLRTzO4C4OVh7KRX0OVh4ec/GEWITAiy++aPecMWPGOBSbikOOEDOY13hbOS8PqK0FrPXiyzEwuP64Q6UcYmA1YFwMXt5eiE2IxeFVh3Fs0zHJxaGaclG7g5WHclGfg5WHx1w8IRYhIKY4dBQac8gRYsZsxMQATZoA1dXAX385F8sexuVsfvvN8n7OPI7XkcPhzLhDteWiZgcrD+WiPgcrD4+5eEIswjbbtm3D2rVrcf68Y6tmAFQcckVtba3dMQReXsDNNwvf27q1LCaWPSIjgfBwQK8H5s4FsrOF7wHha1ZWLZYtqzU7rgRy5CKnw7je4amfT6GmUtqtFLXlomYHKw/loj4HKw+PuXhCLKm462zluXPn4oUXXjA9NxgMuP3225GQkIA777wTHTt2xB9//OFQbCoOOcJgMIhaXFnMTiliY9li5UrgwgXh+5dfBhIShJ7LZ54Rvt55pwGPPmowHc/MdEpnFTlykdMR3C4YgVGB0FfrcWL7CcU8juIuDlYeykV9DlYeHnPxhFhScdfZysuXL8fNxt4gACtWrEBOTg62b9+O0tJS9OjRA7Nnz3YoNhWHHKHT6UTtkShmUorYWNbIzATGjgUuXzY/XlAAvPWW8BXQXX0AhYXC+UoUiM7mIrdDo9Gg9dDWAKSvd6i2XNTsYOWhXNTnYOXhMRdPiEUI5Ofno7PxFz6AtWvXYuzYsbjlllsQHByM559/Hrt27XIoNhWHHCG2W944KcVWz6EzXfx6PTB1qv0t+oDaq49r506bJv8tZjXeXmqdeLU4lDjuUI25qNXBykO5qM/BysNjLp4QixCora2Fr6+v6fmuXbvQr18/0/OIiAiUlpY6FJuKQzfEWByeOAE4uDi6TbZvN/YMSsNgAE6dEt7v7rQeIhSHJb+VoLyk3MWtIQiCINyNNm3aICcnBwBw8uRJ/PXXXxgwYIDp9YKCAps7qNiCikOOEDvbq1kzYbIIYL330JmZY0VFYs/0hqXVksS/X6RFhbMWG7dojNAuoQCA/K35inkcwV0crDyUi/ocrDw85uIJsQiBlJQUpKam4pFHHkFSUhL69u2LuLg40+tbt25F165dHYpNxSFHSOmWtzcpxZku/vBwsWdeu63s2PtFWlR6e8mRcYdqzUWNDlYeykV9DlYeHnPxhFhScdfZypMnT8b777+Pc+fOYcCAAfj+++/NXj99+jQmTZrkUGyPKOPz8/MxadIklJSUQKvV4pdffkHjxo1d3SxF6dwZWLvW/k4pjtC/v9AzWVgoZtzhNTQa4X39+8vfJjXSOrE1dr29C8c2H4PBYKBFYAmCIFxAVlYWIo2309yMSZMmWS0AP/zwQ4fjekTP4YQJE/Dyyy8jLy8P27ZtMxvAyRNarVb0/pT2JqVIidXwvcB77wnf2653tFcf185LTxfeLyfO5KKko1X/VtD6aHHx1EX8+9e/inmk4i4OVh7KRX0OVh4ec/GEWITyuH1x+Mcff0Cn06H/1e6q4OBgbsc96PV66EVO9TXeVt6/H/j664YLVGdn6/HNN3qHF6hOTgZWrABaXrc7XFQUMGOGccyj/upDeL5ihfA+uZHyubB06Px1iLolCoD4WctqzUWNDlYeykV9DlYeHnPxhFiEgLHgtvdwBJdXSTk5OXjrrbewb98+FBUVYeXKlRg9erTZORkZGXjrrbdQXFyMLl264IMPPkCvXr1Exf/777/RpEkTjBgxAoWFhRg7diyee+45BTJRHikLiOblCV8vXwYeeED4PjISuO8+YNkyoKDgWqzISKEnUGrhlpwMjBolzD4uKhLGEvbvL/QMzpkDrFtnQEkJ0KbNteNKwGqRWkdoPbQ1jmcdx7FNx9Arxf6/WTXnojYHKw/loj4HKw+PuXhCLELAYDCgVatWGD9+vMMTT6zh8uKwoqICXbp0waRJk5BsoTpZvnw50tLSsGDBAvTu3Rvp6ekYNmwYjhw5ghYtWgAA4uPjLQ503bhxI2pra7F9+3bk5uaiRYsWuP3229GzZ08MHTpU8dzkRuwCopmZwL33NjxuXKD6ajTTceMC1Y707Gm1wKBBlo8PHiw4/P2lxZQKq0VqHaF1YmtsfW4rjmcdR11tHby8bXfWqzkXtTlYeSgX9TlYeXjMxRNiEQJ79uzB559/jvfeew+xsbGYNGkSHnjgATRr1szp2C6/rZyUlIRXX30Vd911l8XX582bh8mTJ2PixImIi4vDggUL4O/vj4ULF5rOyc3Nxe+//97gERERgZYtW6JHjx6IioqCr68vhg8fjtzcXKvtqaqqwsWLF02PS5cuyZ2yw4jplhe/QPW1W75KLVDN4y0ZuR3h3cLh18wPVRerUPhroWIeKbiLg5WHclGfg5WHx1w8IRYh0KNHD3z00UcoKipCWloaVq5cicjISNx7773YtGmTU7GdKg6vXLnilNwe1dXV2LdvHxITE03HvLy8kJiYKHpLmJ49e+LMmTM4f/486urqkJOTg44dO1o9f86cOQgKCjI96q8Z5GrE/OcSv0D1teIQUGaBah5/sMrt8NJ6IXZwLABx4w7VnIvaHKw8lIv6HKw8PObiCbEIc/z8/PDggw9iy5Yt+P3333HmzBncfvvtOHfunMMxJReHdXV1eOWVV9CyZUs0adIEx44Jv/BeeOEFfP755w43xBKlpaXQ6/UIDQ01Ox4aGori4mJRMby9vfH6669jwIAB6Ny5M9q1a4c777zT6vkzZ85EWVmZ6ZFnHLynAsTsTSl+gelr+x479n4RBg73JVXCIWW9Q7XnoiYHKw/loj4HKw+PuXhCLKm46zqH9SkoKMCrr76KoUOH4vDhw5gxYwYCAwMdjid5zOGrr76KL7/8Em+++SYmT55sOn7zzTcjPT0djzzyiMONUYqkpCQkJSWJOtfX19dsqZuLFy8q1SzJiBnQK36Bacux5FygmsfB3Eo4jPssF+wqQHV5NXya+CjiEYu7OFh5KBf1OVh5eMzFE2JJxV3XOayursbKlSvx+eefY/v27UhKSkJ6ejqSkpKcXjZIcnG4ePFifPLJJxgyZAj+85//mI536dIFhw8fdqox1xMSEgKtVouSkhKz4yUlJQgLC5PVxQM1NTV2zxG/QLV5LCUWqBbTXl48zjiC2wSjaWxTXMi/gOPbjqP9He0V8YjFXRysPJSL+hysPDzm4gmxCIHw8HAEBARg/Pjx+PDDD02TdCsqKszOc6QHUfJt5cLCQrRt27bB8bq6Otkvvo+PD7p3744tW7aYebZs2YK+ffvK6uIBHx8f+PhY73UCpCxQ7XP1odwC1WLay4vHWYfp1rKdcYc85KIWBysP5aI+BysPj7l4QixC4Pz58zh58iReeeUVdOjQAc2aNTN7NG3a1OGZy5J7DuPi4rB9+3a0atXK7PiKFSscWmenvLwcR48eNT3Pz89Hbm4ugoODER0djbS0NIwfPx49evRAr169kJ6ejoqKCkycOFGySwoZGRnIyMhAdXW1oh4lMC5QPXWq+eSUqChhiRthncNrxyMjhcJQiQWqCYHWia2x/5P9kvZZJgiCIAhrZGVlKRZbcnE4a9YsjB8/HoWFhairq0NmZiaOHDmCxYsX46effpLcgL179yIhIcH0PC0tDQAwfvx4LFq0COPGjcPZs2cxa9YsFBcXIz4+HuvXr28wSUVuUlJSkJKSgoKCAkRFRSnqEouxUBWzL7S9BarXrq1GcTHQrl1jxRaoltJeQFhGx1J75fY4grOO2MGxgAY4+8dZXCq6hIDwAEU8YnAXBysP5aI+BysPj7l4QixCYODAgYrFllwcjho1Cj/++CNefvllNG7cGLNmzUK3bt3w448/OrSw9KBBg+wOVE1NTUVqaqrk2O6G1JlethaoTkgQYjVpIkPDrCClvZmZDXs6xe7cwsNiuP43+CO8WziK9hXh2OZj6PJQF0U8YnAXBysP5aI+BysPj7l4QixCHPv378esWbMc6rhzaJ3D/v37Y9OmTThz5gwqKyuxY8cO3HbbbY6EIiSg0WigsT2Q0CWxnHVkZgo7tFy/PqNx55bMTHk8ziCHwzjuMH9zvqIee7iLg5WHclGfg5WHx1w8IRZxjQ0bNmD69Ol47rnnTEsLHj58GKNHj0bPnj1RV1fnUFyX75BCiKempka2ST9yxnLGYWtHF7E7t6glF3sYl7T5Z9M/VnvLeclFDQ5WHspFfQ5WHh5z8YRYhMDnn3+OpKQkLFq0CHPnzkWfPn2wZMkS9O3bF2FhYfj999+xdu1ah2JLLg69vLyg1WqtPtyFjIwMxMXFYZCl+7IuQs7PmMX1EuOwt6OLmJ1b1JKLPaJviYa3nzfKi8pR+mepYh57uIuDlYdyUZ+DlYfHXDwhFiHw3nvvYe7cuSgtLcW3336L0tJSfPjhhzh06BAWLFhgczc4e0gec7hy5Uqz5zU1NThw4AC+/PJLzJ492+GGqA01TkiR8z8Wqx949hC7I4ut89SSiz28/bwR3T8axzYdwz+b/kHzuOaKeOzhLg5WHspFfQ5WHh5z8YRYhMA///yDu+++GwCQnJwMb29vvPXWW7Is+O3QhJTrGTt2LG666SYsX75clTukuAu8LUgqxiF2RxZb56klFzG0HtoaxzYdQ/7mfPSZ2kcxjy3cxcHKQ7moz8HKw2MunhBLKgkJCdDpdKZOH3fh8uXL8Pf3ByCM6fT19UW4TNucSS4OrdGnTx889thjcoUjLCDnYF5Wg6ztYW9HFzE7t6glFzEYxx0ezz4OfY0eWp35X9M85eJqBysP5aI+BysPj7l4QiypuOv2eQDw2WefocnVZUdqa2uxaNEihISEmJ0zZcoUyXFlKQ4vX76M999/Hy1btpQjHGEF3rr4xTiMO7qMHSsUgvULRLE7t6glFzGEdQmDf4g/KksrUbi7ENG3RivisYW7OFh5KBf1OVh5eMzFE2IRAtHR0fj0009Nz8PCwvDVV1+ZnaPRaNgUh82aNTP7C8BgMODSpUvw9/fHkiVLJDeAEI/e1pRdF8Zy1mFtR5eQEGDBAvvrHKopF3tovDSIHRKLP5b/gX82/dOgOOQpF1c7WHkoF/U5WHl4zMUTYhECx48fVyy25OLw3XffNSsOvby80Lx5c/Tu3dvhPfzUCM/b5/FI/R1dnnsO2LUL+O9/3XNLv9ZDW+OP5X8gf3M+EmYn2H8DQRAEQTBEcnE4YcIEBZqhPtQ4W9nbW7YhorLGksth3NHl4YeF4nDHDmU8jiCnwzjusGB3Aa6UXYFfkJ8iHmu4i4OVh3JRn4OVh8dcPCEWoTyirtbBgwdFB+zcubPDjSFsU1tbq8pYcjsGDBC+7toFVFcDPj7KeKQgp6Npq6YIbheMc3+fw4ltJ9BhZAdFPNZwFwcrD+WiPgcrD4+5eEIsQnlEFYfx8fHQaDSmXR1szTqicQWEs3TsKIw3LC0F9u8H+jRc8YV7Wie2xrm/z+GfTf+YFYcEQRAE4WpE7ZCSn5+PY8eOIT8/H5mZmYiNjcWHH36IAwcO4MCBA/jwww/Rpk0bfP/990q316Px9vaWrWtezlhyOzQa4NZbhe9zcpTzSEFuh7V9lnnMxVUOVh7KRX0OVh4ec/GEWITyiLpSrVq1Mn1/99134/3338fw4cNNxzp37oyoqCi88MILGD16tOyNJAR4W5DUGceAAcCqVUJx+MwzynnEIrcjNiEWGi8NSg+X4mLBRQRGBirisYS7OFh5KBf1OVh5eMzFE2IRwMWLF0WfGxgYKDm+5DL+0KFDiI2NbXA8NjYWeXl5khtAiIe3BUmdcRjHHe7YAej1ttc5VHsulvBr6oeInhEo3F2IY5uPIX5CvCIeS7iLg5WHclGfg5WHx1w8IRYBNG3a1O5najAYoNFoHBruJ7k47NixI+bMmYPPPvsMPldnClRXV2POnDlObfKsNtS4lA1vM8eccXTpAgQEAGVlwO+/C8+V8IhFCUfrxNZCcbjpWnHIay6ucLDyUC7qc7Dy8JiLJ8QihF1flETy1VqwYAFGjBiByMhI08zkgwcPQqPR4Mcff5S9ga5CjUvZ8DZzzBmHtzfQrx+wYYNwa9lWcaj2XKzRemhrbH9tO45tPmb6C4/XXFzhYOWhXNTnYOXhMRdPiEUAAwcOVDS+5OKwV69eOHbsGJYuXYrDhw8DAMaNG4f7778fjRs3lr2BxDUMljYfVkEspRwDBlwrDp98UjmPGJRwRPaJhM5fh4ozFThz6AxCO4dym4srHKw8lIv6HKw8PObiCbEIy1RWVuLkyZMN7ng6ssSgQ/28jRs3xmOPPebIWwkn0Ol0qoyllMM47nD7dmHPZWvDK3jIxRLevt5oNbAVjq47imObjyG0cyi3ubjCwcpDuajPwcrDYy6eEEsqCQkJ0Ol0pjuC7sbZs2cxceJErFu3zuLrio05XL16NZKSkqDT6bB69Wqb544cOVJyIwhx8LbPpbOOnj0BX1+gpAT4+2+gfXtlPGJQytE6sbVQHG46hr5pfbnOhbWDlYdyUZ+DlYfHXDwhllSysrIQGRnpMr/STJs2DRcuXMDu3bsxaNAgrFy5EiUlJXj11VfxzjvvOBRTVHE4evRoFBcXo0WLFjaXqnF0VgwhDt7Gfzjr8PUFevcWbivn5FgvDnnIxRrG9Q5P5JxAbVUt17mwdrDyUC7qc7Dy8JiLJ8QizNm6dSt++OEH9OjRA15eXmjVqhWGDh2KwMBAzJkzB3fccYfkmKIWwa6rq0OLFi1M31t7UGGoLL6+vvD19VVdLCUdxlvLthbD5iUXS7S4uQUahzZGTWUNCnYVcJ0LawcrD+WiPgcrD4+5eEIswpyKigpTjdasWTOcPXsWANCpUyfs37/foZiiikN7XLhwQY4whB0MBoNsg3rljKWko/64QyU99lDKodFo0DpR6D00zlrmNRfWDlYeykV9DlYeHnPxhFiEOR06dMCRI0cAAF26dMHHH3+MwsJCLFiwAOHh4Q7FlFwczp07F8uXLzc9v/vuuxEcHIyWLVvit99+c6gRaiQjIwNxcXEYNGiQq5tiorq6WrZ1F+WMpaSjb19hAezjx4GTJ5Xz2ENJh6k43HSM+1xYOlh5KBf1OVh5eMzFE2IR5kydOhVFRUUAgBdffBHr1q1DdHQ03n//fbz++usOxZRcHC5YsMC07t+mTZuwefNmrF+/HklJSZgxY4ZDjVAjKSkpyMvLQ3Z2tqubYsLHx8e08LiaYinpaNIE6NpV+H7uXCA7W9gxxYheD/zyiw9WrfJp8JqcKPl5GYvD03tPo66ijovrogYHKw/loj4HKw+PuXhCLMKcBx98EBMmTAAAdO/eHSdOnMCvv/6KU6dOYdy4cQ7FlLyUTXFxsak4/Omnn3DPPffgtttuQ0xMDHr37u1QIwhx8LaVkRyOzEzg6nKa+PBD4REZCbz3nnBs6lSgoOCax/hacrLTajOU/LwCIwMRcmMISg+X4tT2U2g/ysrMG5ng5dqrxUO5qM/BysNjLp4Qi7CNv78/unXr5lQMycVhs2bNcOrUKURFRWH9+vV49dVXAQjjCWhCirJUVVUBEC68mmIp5cjMBMaOFdY4rE9hITBmjJnp6ld/FBYK71mxwnqBqNcLYxiLioDwcKB/f9t7NwPKf16th7ZG6eFSHNt8DK1ub6Xq66IWBysP5aI+BysPj7l4QiwCSEtLwyuvvILGjRsjLS3N5rnz5s2THF9ycZicnIz7778f7dq1w7///oukpCQAwIEDB9C2bVvJDSDEw9s+l8449HqhV9DS+OWGx7zNXtNogGnTgFGjGhZ9mZnG3sZrx8T0Nir9ebVObI09H+zBqexTirvUfu3V5qFc1Odg5eExF0+IRQg1V01Njel7uZF8td59913ExMTg1KlTePPNN9GkSRMAQFFREZ544gnZG0hcQ2uve8tFsZRwbN9uXsDZMZk9MxiAU6eEGPXnE9nqibTX26j05xUzKAYarQYXjl1AeUE5AjoGKOZS+7VXm4dyUZ+DlYfHXDwhFiEs7G3pe7mQXBzqdDpMnz69wfGnnnpKlgYR1jH+laC2WEo4rk68EmuyG8NeT6St3kZA+c/LN9AXkb0jcWrnKRzbfAzhHR1bfkAMar/2avNQLupzsPLwmIsnxCLMmTRpEt577z0EBJh3KlRUVODJJ5/EwoULJcd0aJ3Dr776CrfeeisiIiJw4sQJAEB6ejp++OEHR8IRItFoNLIN6pUzlhIOaUszaa4+rMew1xNZv7fRooHB52XcLeVktpU1e2RC7ddebR7KRX0OVh4ec/GEWIQ5X375JS5fvtzg+OXLl7F48WKHYkouDj/66COkpaUhKSkJFy5cME1Cadq0KdLT0x1qBCEOb29v2cZtyBlLCUf//sJYQHE/S7xRvxNcowGiooQYRsT2RFo7j8XnZVzS5lTOKRjqlFssVu3XXm0eykV9DlYeHnPxhFiEwMWLF1FWVgaDwYBLly7h4sWLpsf58+exdu1a084pUpFcHH7wwQf49NNP8b///c9sDEGPHj1w6NAhhxpBiKO2Vr69d+WMpYRDq722XM31BWL958L3tVcf115LTze/PSy2J9LaeSw+r5a9W0LXRIfLpZdR/FuxYh61X3u1eSgX9TlYeXjMxRNiEQJNmzZFcHAwNBoN2rdvj2bNmpkeISEhmDRpElJSUhyKLbmMz8/PR1fjqsT18PX1RUVFhUONUCMZGRnIyMhQ1Yrucm49xGpLKGdIThYmiViaXWzspBZeMzR47fqJJcaeyMJCy+MONRrh9fq9jXLmIgatTovIWyKRvyFfGHfYVZlxhzxcezV5KBf1OVh5eMzFE2IRAllZWTAYDBg8eDC+//57BAcHm17z8fFBq1atEBER4VBsycVhbGwscnNz0apVK7Pj69evR8eOHR1qhBpJSUlBSkoKCgoKTIt+W6Ouro5JEVlXVwcAuHLliqpi2XPo9XqHZ6olJwuTRKytSzhqFLBpkw7FxUBMjPU1C409kWPHCoVg/Z9T1nob66PT6Rxqv1RiE2OF4nDTMdwy4xZFHCxyYfV5US6e6WDl4TEXT4hFCAwcOBCA0GkXFRUFLy+HppFYRHJxmJaWhpSUFFy5cgUGgwF79uzBsmXLMGfOHHz22WeyNYwXqqurkZ+fbyqElMTokOMfgJyx7DmKi4vRtGlThIWFOTQgWas1X5Lm+tf69RNuVQQG2o5jryfS1jqHrG6HRA6IBACc3H4StVdq4e0n/xgdVrfJWEC5eKaDlYfHXDwhFmFOq1atcOHCBezZswdnzpxpUI88/PDDkmNK/s3z6KOPolGjRnj++edRWVmJ+++/HxEREXjvvfdw7733Sm4AzxgMBhQVFUGr1cpetVvCOPlHjvWi5Ixly2EwGFBVVYUzZ84AAMKlTUOWHWNP5IYNwIgRQF0dsGUL0K6dS5tlIrhDMBqHN0ZFUQVO/nwSrYe0dnWTCIIgCBXz448/4oEHHkB5eTkCAwPNOmE0Gg2b4hAAHnjgATzwwAOorKxEeXm5aTZMYWEhWrZs6UhILqmtrUVlZSUiIiKYbAnEY3EIwLRQ+pkzZ9CiRQvZnVJnwGm1wPDhwC23CLers7LsF4esZtnpdDrEJMTgj6//wLHNxxQpDmlnCfU5WHncxcHKw2MunhCLZ+666y5kZ2djyJAhWLFihdlrP/30E55++mnU1dXh//7v//Doo4+Kivn0009j0qRJeP3112WrRZzq6vL390eLFi1QXFyMJ598Eu3U0v3CCGPx4+Pj4+KWqB/jP1glFkJ1dBZcYqLwddMm5RxSqa2tRdQgYYzrsU3HFHPQLE91OVh53MXBysNjLp4Qi2emTp1qce3B2tpapKWlYevWrThw4ADeeust/Pvvv6JiFhYWYsqUKbJ2UokuDs+fP4/77rsPISEhiIiIwPvvv4+6ujrMmjULrVu3xq+//oovvvhCtobxBC3saR81fkZDhwpft24VdlBRC1EDheKwaH8RKv+tdHFrCIIgCLkYNGhQg51MAGDPnj246aab0LJlSzRp0gRJSUnYuHGjqJjDhg3D3r17ZW2n6OLw2Wefxc6dOzFhwgTccMMNeOqpp3DnnXdi//792Lp1K3755ReMGzdO1sYRhBi0Wq1Dt6p79gQCAoBz54DcXGUcUtFqtQhqGYQWN7cADED+1nxFHErnwvLzolw8z8HKw2MunhBLKXJycjBixAhERERAo9Fg1apVDc7JyMhATEwM/Pz80Lt3b+zZs0cW9+nTp82G5bVs2RKFhYWi3nvHHXdgxowZeOmll/D9999j9erVZg9HED0IYN26dVi0aBEGDx6M1NRUtG7dGvHx8Xj99dcdEhP8sGrVKkyfPh35+fl48sknVbcTjt7Bbj9vbyAhAVi9Wri13L27/A6pGD2xibE48/sZHNt8DDfdfZMiDiVh/Xnx7mDlcRcHKw+PuXhCLKWoqKhAly5dMGnSJCRbWL5i+fLlSEtLw4IFC9C7d2+kp6dj2LBhOHLkiGnuRXx8vMXb5xs3bnR4zUF7TJ48GQDw8ssvN3hNo9E49NmLLg5Pnz5tWsfQWDU/+OCDkoVEQ/R66+v41cdVC5I+/vjjmDhxIqZMmWKxO1wOhzM44xk6VCgON28Gnn1WGYcUjJ42Q9tgd/puRcYd0uLB6nOw8riLg5WHx1w8IZZUjFvLGfH19YWvr2+D85KSkpCUlGQ1zrx58zB58mRMnDgRALBgwQKsWbMGCxcuxLNXf4Hk2rsNZYWIiAiznsLCwkL06tVL1HuVWEpP9G1lg8FgNttIq9WiUaNGsjfI08jMFBZvTkgA7r9f+BoTIxy/Hldsgl5eXo4zZ85g2LBhiIiIkFQcstpoXafTObzAqnFSyo4dgIV9y2VxSMHoaTWgFbx0XriQfwHnj51XxKEkrD8v3h2sPO7iYOXhMRdPiCWVuLg4BAUFmR5z5syRHKO6uhr79u1DovGXBoR1ghMTE7Fr1y6n29irVy/8/vvvKCwsRHl5OdatW4dhw4ZJjiPXxhaSisMhQ4agW7du6NatGy5fvowRI0aYnhsfhHgyM4UdO+ovyAwIW7yNHWu5QJSDn376CTfccIOpqzk3Nxcajcb0lw8grGcZGRlpKgYHDx4MjUaD7OxsLFq0CE2bNsWGDRvQsWNHNGnSBLfffjuKioqUabAd9Hq9w7csOnQQFsGuqhIKRCUcUjB6fJr4IKqvMDHln03/KOJQEtafF+8OVh53cbDy8JiLJ8SSSl5eHsrKykyPmTNnSo5RWloKvV6P0NBQs+OhoaEoLi4WHScxMRF333031q5di8jISFNh6e3tjXfeeQcJCQmIj4/H008/jRtuuEFUTL1ej1deecU0meXYMeGO0wsvvIDPP/9cdNvqI/q28osvvmj2fNSoUQ4J3RmDAagUOblUrwemTLG8z6/BIGzpNnWq0LNlvMVcWyucbGm5KH//a9vA2aN///64dOkS9u/fjz59+mDbtm0ICQlBdna26Zxt27Zh1qxZGDRoEDp06IDvv/8e/fr1Q3BwMI4fP47Kykq8/fbb+Oqrr+Dl5YUHH3wQ06dPx9KlS+vlweY2gjM/cDQa4TNetEi4tWycwSynQwr1PbGJsTiRcwL5m/PR4/EeijiUgsexWq50sPK4i4OVh8dcPCGWVAICAhBobwstRmzevNnqayNHjsTIkSMlx3zttdfw5Zdf4s033zSNPwSAm2++Genp6XjkkUckx3S4OHR3MjIykJGRIWnP5MpK4Op6z05jMAg9ikFB9Y9av1zl5UDjxuJiBwUFIT4+Hjk5OejTpw+ys7Px1FNPYfbs2SgvL0dZWRmOHj2KhIQENG/eHAAQHByMsLAwU4yamhosWLAAbdq0AQCkpqY2GAzLavkaZ29VGIvDTZuAuXOVcYilvqfN0DbInpWNY1uOoU5fBy+tPDvw0J606nOw8riLg5WHx1w8IZYrCAkJgVarRUlJidnxkpISs9+NrmDx4sX45JNPMGTIEPznP/8xHe/SpQsOHz7sUExl93vjmJSUFOTl5Zn1prkT/fv3x7Zt22AwGLB9+3YkJyejY8eO2LFjB7Zt24aIiAibi5r7+/ubCkNA2BbPuEUeawwGg1O9lMYhJAcOAKWlyjjEUt8T0SMCvkG+uHL+CooPiL9tIcWhFK74vHh2sPK4i4OVh8dcPCGWVBISEhAXF4eMjAyHY/j4+KB79+7YsmWL6VhdXR22bNmCvn37ytFMhyksLETbtm0bHK+rq3N44wnaz0ZG/P2FHjwx5OQIW7jZY+1aYMAA4Xvj9HhL2xBJXRh94MCBWLRoEX777TfodDrceOONGDRoELKzs3H+/HkMHDjQ5vuv/ytQo9E0+I/P6geBs7uuhIYCnToBhw4JC2Lfc4/8DrHU93h5eyE2IRaHVx3GP5v+QUQPeZZBYJGLKz4vnh2sPO7iYOXhMRdPiCWVrKwsREZG2j2vvLwcR48eNT3Pz89Hbm4ugoODER0djbS0NIwfPx49evRAr169kJ6ejoqKCtPsZVcRFxeH7du3o1WrVmbHV6xYga5duzoUk4pDGdFoxN/ave02YSJEYaHlcYcajfD6bbddG3Oo1wu3aeVYR9Q47vDdd981FYKDBg3CG2+8gfPnz+Ppp5922sHqtrIc2xcOHSoUh5s2WS4OWW2RWN9TdrIMwR2CAQCHVx5G22Hmfxn6h/gjKNps3IFDjspS6wNl5XAoCQsP5aI+BysPj7l4Qiyl2Lt3LxISEkzP09LSAADjx4/HokWLMG7cOJw9exazZs1CcXEx4uPjsX79+gaTVFgza9YsjB8/HoWFhairq0NmZiaOHDmCxYsX46effnIoJhWHLkKrBd57T5iVrNGYF4jGmio9XZ5C0BLNmjVD586dsXTpUsyfPx8AMGDAANxzzz2oqamx23PobiQmAvPmAT/+CHz9NRARcW29Sb1e6OktLgZiY62vQyknZSfLML/DfNReEXqLT/96Gp90/8TsHG8/b6QeSXWoeLPksISzDoIgCF4YNGiQ3TteqampSE1NZdQicYwaNQo//vgjXn75ZTRu3BizZs1Ct27d8OOPP2KotVmWdhA15jA4OBilVwdjTZo0CZcuXXJIRpiTnAysWAHU2zEHgNBjuGKF8Hp95B7/0b9/f+j1egwaNAiAcJ3j4uIQFhaGDh06yOJgcWu5urpa0sQhS5y/upRgSQnwwAPX1pt85hnh6/Dh1Zg0qdrmOpRyYMylsrTSZtEGALVXam32+qnBoTQsPJSL+hysPDzm4gmxpCLHmEO1079/f2zatAlnzpxBZWUlduzYgdtuu83heKKKw+rqatPq4l9++aVsiywSQgF4/DiQlSX0WGVlAfn5DQtDQP5FsN99910YDAbceOONpuO5ublm6xU2bdoUBoPBVEACwIQJE3DhwgWzeKNHj25QCPKwCDYgFHqWNvspKADeesu4DqXu6kPZdSjdZWFfHhcPdqWDlcddHKw8PObiCbGkkpWVhby8PKSkpLjErzStW7fGv//+2+D4hQsX0Lp1a4diirqt3LdvX4wePRrdu3eHwWDAlClTrO6OsnDhQoca4slotUC92ouQiDMFqF4vrCdpv4PzmsO4DuW0acCoUfLeYpaaS9aLWWgc0lhonqbe+43fW/haW1sLjUaD6gvK/RXParwpCw/loj4HKw+PuXhCLMKc48ePW1xHsqqqymxLPimIKg6XLFmCd999F//88w80Gg3Kysqo99AF8LbPJQ+zlbdvb7hDjRWL2TODATh1Sni/nIW91Fz+/ulv+eQywuMsT1c6WHncxcHKw2MunhCLEFi9erXp+w0bNiCo3sLIer0eW7ZsQUxMjEOxRRWHoaGheOONNwAAsbGx+Oqrr0Rv60LIB29/xbH6S1HrRNed+B3/LDvk3jFQai69pvRCQEQAYLhajIv4WnWlSvh6rgq5C3PlTcDBPNTsoVzU52Dl4TEXT4hFCIwePRqA8Lt2/PjxZq/pdDrExMTgnXfecSi25NnK+fn5DokIQimc+aETHi7a4uT7RVok5hI/Ph7h3aQ1ovLqHo9lh8uoOFSJg5XHXRysPDzm4gmxpJKQkACdToeUlBS3GndYV1cHQOi0+/XXXxESEiJbbIeWstm2bRvefvtt/PnnnwCEBRhnzJiB/v37y9YwoiF0W9kyztyu6N/f9nqT9Sxmz4zrUMr9T16Nt8p+//Z3yQUoj7fjXOlg5XEXBysPj7l4QiypiF0Em1eU6LSTvH3ekiVLkJiYCH9/f0yZMsU0OWXIkCH4+uuvZW8gD7AqguSeraz0bd/6DuNfOEp7pGJcb1KIY9MC46QUJdehNObiH+IPbz/bf7t5+3nDP0Ti1jgSHQCwc+5ObJy+EYY68f/OWc1UZ/3vmHePuzhYeXjMxRNiEQ3Ztm0bRowYgbZt26Jt27YYOXIktm/f7nA8jUFiZdOxY0c89thjeOqpp8yOz5s3D59++qmpN9FdKCgoQFRUFE6dOtXgLw+9Xo+///4b/v7+aN68ueL/8I2zkeTonpczli2HwWCAXq/H2bNnodfr0a5dO3h5ybuld0VFBQCgsdjtaSyQmSnMWq4/OSUqCrj3XmDZMqCgoOLq0caIihIKQ0vLDTlL/VyU2r1ErMNgMOCP5X9g51s7AQBxY+MwevFo6BrZX45CjmsiBhYeykV9DlYeHnPxhFhisfX7251YsmQJJk6ciOTkZNxyyy0AgJ9//hkrV67EokWLcP/990uOKbk49PX1xR9//NFgk+ejR4/i5ptvdrtZzPb+cZWXl6OgoIBJ76Gx902O4krOWGIc/v7+CA8PV2QLJeManIGBgU7F0euF2cdFRcJYwvo7pKxffxHFxUCbNoGK7pAiVy5yOg59fQirJqxCXU0dovpF4d4f7rXbY8kiD1YeykV9DlYeHnPxhFhi8ZTiUIlOO8ljDqOiorBly5YGxeHmzZsRFRUluQG806RJE7Rr147JeIry8nKTU02x7DmCgoLg7e2t+lsK1tab1GqvjS1k+HNNNXS6vxMCIgKw/K7lOLXzFD7v9zkeWPsAgtsGu7ppBEEQHs+xY8cwYsSIBsdHjhyJ5557zqGYkovDp59+GlOmTEFubi769esHQOi+XLRoEd4zDt7yMLRaLZOZWMaeOD8/P1XFsudQelV8b2/ltwhn4WDlccQRMygGk36ehKXDl+Lc3+fwed/Pce/qexHV1/IfhJ7+eanV4y4OVh4ec/GEWFJx19nKRpTotJN8tf773/8iLCwM77zzDr799lsAQpfm8uXLMWrUKIcaQYijttb2PriuiuVKBysP5QI0j2uOR395FF/f+TWK9hVh8eDFSF6ajI7JHWVzSEXNn5caPe7iYOXhMRdPiCUVd5+trESnnUOl/F133YW77rrLISEvZGRkICMjw2UbhRN8Y238Iu80CWuCCdkT8P193+Ovn/7Ct2O/xbB5w9BnWh9XN40gCMIjUaLTznX9vCrH2P1sHNCqBnjr4ufxlowcDksznyMjhSVz7M1wVlsulvBp4oNxK8dh3ZR12PvRXmx4agPO55/HsHnD4KX1ksUhFh4+LzV53MXBysNjLp4Qi7iGwWDA0aNH0b59e2RnZ8v2OSs3VZWQnZqaGtkmvsgZy5UOVh6xjsxMYOzYhvs1FxYKxzMz5fE4gxwOL28vDM8YjsQ3EwEAe97fg+/GfoeayhrZHGLg5fNSi8ddHKw8PObiCbEIgfz8fHTu3Bk33ngjOnfujDZt2mDv3r2yxKbikCN4W5CUxwVknXHo9UKPoaVVjYzHpk0TznPG4yxyOTQaDW6ZcQvGLh8Lra8Wh1cdxpcJX6LiTIXHXXtePO7iYOXhMRdPiEUIzJgxA7W1tViyZAlWrFiByMhIPPbYY7LEpn5ejuCti5/HWzLOOLZvb9hjWB+DATh1SjjP0pI5Yj3OIrfjpntuQkBEAL4Z9Q0K9xTi876fI/n7ZAS3V36pGx4/L1d63MXBysNjLp4QSyruOlt5x44dWLFiBW699VYAQJ8+fRAZGYmKigqnFxun4pAjeJs5xuNMP2ccRUXiYtk6Ty25SCX61mhM2jkJXw//GuePncfSwUsxctlIdBzWcCaznPD6ebnK4y4OVh4ec/GEWFJx19nKZ86cQbt27UzPw8PD0ahRI5w5cwaxsbFOxZZcHBoMBqxYsQJZWVk4c+ZMgz1zM+0NqiIcRs5dWFjs6MJqz2m15BIeLi6WrfPUkosjhHQIwSO7HsGykctQuLsQ34/6Hnctvgs33XOTIj6A78/LFR53cbDy8JiLJ8QiBDQaDcrLy9GoUSPTMS8vL1y6dMm0Iw3g2K40kovDadOm4eOPP0ZCQgJCQ0NpDAFD5FxMWumFqVk5WHnEOPr3F2YlFxZaHneo0QivG3dbcdTjLEo6GrdojPFbx+Pbe7/F0R+PYsW4Fbhw/AL6zeinyM8K3j8v1h53cbDy8JiLJ8QiBAwGA9q3b9/gWNeuXU3fazQa6G0NdLeC5OLwq6++QmZmJoYPHy5ZRjiHIxeYRSxXOlh5xDi0WmG5mrFjhULQUoGYnm57vUO15OIMOn8d7lx8J7Y9tw0HPjqAzf+3GSWHStD7yd7w8rY8B84/xB9B0UGSXe7webH0uIuDlYfHXDwhFiGQlZWlWGzJxWFQUBBat26tRFsIO/A2/oPH8TrOOpKTgRUrGq5z6OUFfPON/XUO1ZSLM9QZ6tD/tf5o0aEFNkzbgENLDuHQkkNWz/f280bqkVTJBaK7fF6sPO7iYOXhMRdPiEUI6PV6DBw4UJHteyUvZfPSSy9h9uzZuHz5suyNIWzj6+sLX19f1cVypYOVR4ojORk4fhzIygIWLwaCgoC6OsDHR16Po7B09JnaB0PfGmr3/NortagsrXTYoySe+u9YzQ5WHh5z8YRYhMCjjz6K5s2b4/7778fy5cvNxhk6i+Ti8J577sH58+fRokULdOrUCd26dTN7EMphMBhkG9QrZyxXOlh5pDq0WmG5moceAh5/XDj2ySfyexyBtSN2sHOz5sR6eHaw8riLg5WHx1w8IRYhcOzYMWRnZyMuLg7vvPMOQkNDMXToUHzwwQc4efKkU7El31YeP3489u3bhwcffJAmpDDGuM+zs+sXyR3LlQ5WHmccjz4KvPkmsG4dcOIE0KqVMh6xuIuDlYdyUZ+DlYfHXDwhllTcdZ1DAOjcuTM6d+6M559/HqdPn8bq1auxevVqPPPMM+jQoQNGjhyJkSNHokePHpLiSi4O16xZgw0bNpgWXSTY4SPmvqQLYrnSwcrjjKNdO2DwYGDrVuDzz4GXX1bGIxZ3cbDyUC7qc7Dy8JiLJ8SSiruuc3g9ERER+M9//oP//Oc/qKiowPr16/HDDz/g9ttvR1paGp577jnRsSTfVo6KinJozRzCeXjbyojHraeUchh3NPr8c8DWuGweclGLg5WHclGfg5WHx1w8IRZhzrFjxxoca9y4McaMGYPFixejpKQEkydPlhRTcnH4zjvv4JlnnsHx48elvpVwkqqqKlRVVakulisdrDzOOu66C2jeHDh9GlizRjmPGNzFwcpDuajPwcrDYy6eEIswp23btkhISMCSJUtw5cqVBq9rtVo0b95cUkzJxeGDDz6IrKwstGnTBgEBAQgODjZ7EMrh7e0t2/6UcsZypYOVx1mHjw8wYYLw/Zw5wLJlQHY2UH/pL70e2LXLGytXejd4TU54+LzU5KFc1Odg5eExF0+IRZizf/9+dO7cGWlpaQgLC8Pjjz+OPXv2OBVT8pVKT093Skg4jpxrGSmxLpIrHKw8cjiio4Wvu3cD998vfB8ZKSycDRjXRrzmMb5mb21EqbD+vPxD/OHt543aK9bvp2t9tfAP8XfKoxT071h9DlYeHnPxhFiEOfHx8XjvvffwzjvvYPXq1Vi0aBFuvfVWtG/fHpMmTcJDDz0kuedQUnFYU1ODbdu24YUXXnB6U2dCOjU1NaqM5UoHK4+zjsxMYMqUhscLC4ExY8xMZq+NHSssqi1ngcj68wqKDkLqkdQG6xjWXqnFt3d/i/LT5YifEO/QDik8XHs1edzFwcrDYy6eEIuwjLe3N5KTk3HHHXfgww8/xMyZMzF9+nQ899xzuOeeezB37lyEh4eLiiXptrJOp8P333/vUKMJ5+FtcDCPg7mVcOj1Qq+gpSW+Gh7TXH1ce23aNHlvMbvi8wqKDkJ4t3CzR1S/KIz4ZAQA4MDnB3DmjzNOe5SA/h2rz8HKw2MunhCLsMzevXvxxBNPIDw8HPPmzcP06dPxzz//YNOmTTh9+jRGjRolOpbkMYejR4/GqlWrpL6NkAHexn/wOF5HCcf27eZb6dkxoX6HvsEAnDolxJALNX1e7e9ojxtH34i62jqsfWKt5EVy1ZQLDx53cbDy8JiLJ8QizJk3bx46deqEfv364fTp01i8eDFOnDiBV199FbGxsejfvz8WLVqE/fv3i44p+Uq1a9cOL7/8Mn7++Wd07969wYKWUyzdOyNkgbd9Lnncl1QJR1GRJJMMMewYVPZ5DUsfhqMbjuJEzgkcWnoInR/srIjHUejfsfocrDw85uIJsQhzPvroI0yaNAkTJkywetu4RYsW+Pzzz0XHlFwcfv7552jatCn27duHffv2mb2m0WioOFQQObceYrUlFAvUnovIIR5Gkwwx7BhU9nk1bdUUA14YgK3PbcXG6RvR/s728GvqJ7vHUejfsfocrDw85uIJsQhzNm3ahOjoaHh5md8MNhgMOHXqFKKjo+Hj44Px48eLjim5OMzPz5f6FkImdDqdKmO50sHK44yjf39h5nFhoeVxh9eZzJ5pNMJ7+/d3WN/QoMLPq9/T/fDbl7/h3yP/YusLWzH8g+GKeByB/h2rz8HKw2MunhBLKu68fR4AtGnTBkVFRWjRooXZ8XPnziE2NhZ6BwatSx5zWB/aSJsttbW1snXNyxnLlQ5WHmccWu215WquH49d/7nwfS2Mt5aNr6WnCzHkQo2fl9ZHi+EZQkG498O9KNov7j66GnNRs8ddHKw8PObiCbGkkpWVhby8PLcsDAHrvbLl5eXw8xN3F+Z6HBodunjxYrz11lv4+++/AQDt27fHjBkz8NBDDznUCCU5cuQIxo0bZ/Z82bJlGD16tOsaRXgcycnCkjTCWobXjkdGCsUfYP01udc5VCuth7TGzffejN+/+R1rnliDR3Y+Ao0XzW4kCIKwRFpaGgBhSN+sWbPg739trVi9Xo/du3cjPj7eodiSi8N58+bhhRdeQGpqKm655RYAwI4dO/Cf//wHpaWleOqppxxqiFJ06NABubm5AIQqOiYmBkOHDnVtoxxEzplerGbgsYCXXJKTgVGjhJnHRUXCOML+/a/1Co4aBWza5I3iYiAmxvw1OVHz53XbO7fhrzV/oXB3IQ4sPIBuj3ZTxCMF+nesPgcrD4+5eEIsQuDAgQMAhJ7DQ4cOwcfHx/Saj48PunTpgunTpzsUW/LV+uCDD/DRRx/h4YcfNh0bOXIkbrrpJrz00kuqKw7rs3r1agwZMqTBDGte4G3mGI8z/ZR2aLXAoEHWX+vXT/AEBsqis4iaP6+AiAAMmj0IG9M2YvP/bcaNo2+0uXOKmnNRo8ddHKw8PObiCbEIgaysLADAxIkT8d577yFQxl8cksccFhUVoV+/fg2O9+vXD0UOrLeRk5ODESNGICIiAhqNxuIaihkZGYiJiYGfnx969+7t8J6B3377rdktZoIg1EfvJ3sjtHMoLp+7jM0zN7u6OQRBEKrmiy++kLUwBBzoOWzbti2+/fZbPPfcc2bHly9fjnbt2kluQEVFBbp06YJJkyYh2cLgquXLlyMtLQ0LFixA7969kZ6ejmHDhuHIkSOmmTnx8fEW/yrZuHEjIiIiAAAXL17Ezp078c0330huo1rgbZ9LHvcldaVDqkevt36LWi6Hozjj8PL2wvAPh+OLW7/Agc8OoNsj3RDZJ1J2j1jUeO093cHKw2MunhCLAJKTk7Fo0SIEBgZarJ3qk5mZKTm+5OJw9uzZGDduHHJyckxjDn/++Wds2bIF3377reQGJCUlISkpyerr8+bNw+TJkzFx4kQAwIIFC7BmzRosXLgQzz77LACYxhTa4ocffsBtt91md+ZOVVUVqqqqTM8vXbokIgs2ODIdnUUsVzpYedSWS2am5Qks771nfwILD59X9C3RiJ8Qj9xFuVjzxBpM3jMZXt4Nb3TwkIuaPO7iYOXhMRdPiEUAQUFBpu0Ig4Kk70tvD8nF4ZgxY7B79268++67plvAHTt2xJ49e9C1a1dZG1ddXY19+/Zh5syZpmNeXl5ITEzErl27JMX69ttv8dhjj9k9b86cOZg9e7bktrKAtwVJeVxA1pUOsZ7MTGDs2IZrJhYWCsdXrLBdIPLyeSXOTcThVYdRfKAYv370K3o/2VsRjz3UdO3JwdbDYy6eEIsQbiVb+l4uHJo+1L17dyxZskTutjSgtLQUer0eoaGhZsdDQ0Nx+PBh0XHKysqwZ88efP/993bPnTlzpml6OAAUFhYiLi5OfKMVhLcFSXlcQNaVDjEevV7oMbT0c9ZgENZGnDZNmPls7S4OL59X4xaNMWTOEKz57xpkPZ+Fm+6+CU3CmsjusYdarj052Ht4zMUTYhHmXL58GQaDwbSUzYkTJ7By5UrExcXhtttucyimU4tg80JQUBBKSkrMpnlbw9fXF4GBgaZHQEAAgxaKQ6/Xy9Y1L2csVzpYedSSy/bt5reSr8dgAE6dEs5z1CEHcjm6Te6GiB4RqLpYhU0zNinmsYVarj052Ht4zMUTYhHmjBo1CosXLwYAXLhwAb169cI777yDUaNG4aOPPnIopuji0MvLC1qt1uZD7nWMQkJCoNVqUVJSYna8pKQEYWFhsrp4gLf/qDz+YHWlQ4xH7IIAts7j6fPy0nrhjo/uADTAwSUHcXzbcUU8tlDLtScHew+PuXhCLMKc/fv3o//VPVZXrFiBsLAwnDhxAosXL8b777/vUEzR1dzKlSutvrZr1y68//77qKurc6gR1vDx8UH37t2xZcsW044mdXV12LJlC1JTU2V18QBvXfw83pJxpUOMJzxcXJwWLYDs7IYzmfV6YNcuHYqLgdhY5RbalvPziugRge6Pd8e+Bfuw9om1eDz3cWh1Wtk91lDLtScHew+PuXhCLMKcyspK013OjRs3Ijk5GV5eXujTpw9OnDjhUEzRxeGoUaMaHDty5AieffZZ/Pjjj3jggQfw8ssvS25AeXk5jh49anqen5+P3NxcBAcHIzo6GmlpaRg/fjx69OiBXr16IT09HRUVFabZy0qRkZGBjIwMVFdXK+qRAm+Dg3kczO1KhxhP//7CrOTCQsvjDgGgaVNgwoSGM5nvuw9YtgwoKDCYHRczw1kqcn9eQ14fgj+//xNn887il/RfcMuMWxTxWEIt154c7D085uIJsQhz2rZti1WrVuGuu+7Chg0bTJuRnDlzxuH1Dx0ac3j69GlMnjwZnTp1Qm1tLXJzc/Hll1+iVatWkmPt3bsXXbt2Nc10TktLQ9euXTFr1iwAwLhx4/D2229j1qxZiI+PR25uLtavX99gkorcpKSkIC8vD9nZ2Yp6pFBTU4OamhrVxXKlg5VHLblotUIxBwiTTyxx4ULDcYkFBcBbbxmP11x9XJvhbGsZLL1e6IVctkz4KubOkNyfV6NmjTD0TWHby22zt6HsVJkiHkuo5dqTg72Hx1w8IZZUEhISEBcXh4yMDJf4lWbWrFmYPn06YmJi0Lt3b/Tt2xeA0Ivo6CoyGoOEcr6srAyvv/46PvjgA8THx2Pu3Lmm+9zuSkFBAaKionDq1ClERlpeiJcVFRUVACDL9n9yxnKlg5VHbblYWucwIgIoKRFTvFVc/So4NBqhBzE/v+EtZkfXU1Ti8zLUGfDFgC9w6udT6DimI+5ZcY9HXntysPPwmIsnxBKLmn5/K01xcTGKiorQpUsXeHkJ/X579uxBYGAgbrzxRsnxRPccvvnmm2jdujV++uknLFu2DDt37nT7wpAg1EpyMnD8OJCVBXz9tfB18WJxvXrXY22Gs3E9xet7IcX0NiqBxkuDOz68AxqtBn9+/yeObjhq/00EQRAeQFhYGLp27WoqDAGgV69eDhWGgIQxh88++ywaNWqEtm3b4ssvv8SXX35p8TxHtmkhxGEc/yjHX15yxnKlg5VHjblotcCgQdeeL1sm2nL1q7mj/gxnZ9dTVOrzCu0cit5TeuOXd3/ButR1uDfnXnj7eXvctfd0BysPj7l4QizCnIqKCrzxxhvYsmULzpw502By8LFjxyTHFF0cPvzww6atWjwBNU5I4W3mGI8z/VzpcNYjdiYzYNlR//1S1lOsX6CaDAp+XoNeGoTfv/kd546eQ+6Huej7f30VcwF8XHtPc7Dy8JiLJ8QizHn00Uexbds2PPTQQwgPD5elVhNdHC5atMhpGU+kpKQgJSXFNGZBDchZnLMo9Fn9MUG5CIiZyXzVcp1TeF/9USLOrqeo5OflG+iLYfOG4fv7vseet/cgblwcmtzcxP4bHYSHa+9pDlYeHnPxhFiEOevWrcOaNWtwyy23yBbTI3ZIcRd4mznG40w/Vzqc9YiZyXzVAuNsZeN56enmt4fF9kJaO0/pz+umcTchdnAsaq/UYvPTmxVdJoOHa+9pDlYeHnPxhFiEOc2aNUNwcLCsMak45AjjTjRqi+VKBysPL7kkJwMrVgAtW5ofj4oCZswQeggB7dWH8HzFioYzj429kNaKTI1GiGltTprSn5dGo8HwjOHw0nnh+MbjOLL6iGIuXq69JzlYeXjMxRNiEea88sormDVrFiorK2WLKe9+d4SiyPkfi9UPPBZQLuYkJwsTRbZvb7hDypw5wKZNWhQXAzEx1ndIMfZCjh0rFILXd8wZDMCsWZYdej3w88/2Hc4ScmMIek7tid1v78b6qevROrE1fBrb3z9dKjxde09xsPLwmIsnxCLMeeedd/DPP/8gNDQUMTExDcZ37t+/X3JMKg45Qs4ueVa3SlhAuTTk+pnM9Y/37Ss4goJsxzD2Ql6/zqG3N1BbCzzxBFC/uea7sNSYHVdiFxYA6PFUD+R9k4eyE2XY/tp2DHl9iOwO3q69JzhYeXjMxRNiEeYYtxeWEyoOraDG2cq8DQ7mcTC3Kx2sPFIclnohDx4UCsbrf9Ybd2G5ajEdN66LaOn2tbP4NPHBoLmD8OMDP2Ln2zvR5eEuCLkxRFaHp157NTtYeXjMxRNiEea8+OKLssekMYdWUOP2ebyN/+BxvI4rHaw8Uh3GXsj77hNuEV8rAG2+C8ZxjcZb0tOmObZIt+22adF+ZHu0u6Md6mrqsDZ1reyTUzz52qvVwcrDYy6eEItoyIULF/DZZ59h5syZOHfuHADhdnJhYaFD8ag45Ai9Xg+9TL9d5YzlSgcrD+UiYG/9w3qWqw8Ba7uwOIter0ddXR2S3k+Ct5838rfk449v/5DdQddeXQ5WHh5z8YRYhDkHDx5E+/btMXfuXLz99tu4cOECAGFTkpkzZzoUk4pDgiBEI3b9Q6Xeb41mrZuhx397AADWpq7FiZwTKNpfZPYoO1mmjJwgCMKFpKWlYcKECfj777/h5+dnOj58+HDk5OQ4FJPGHHKEt7d8l0vOWK50sPJQLgLid2Gx7LD2fr3e8sxnu5aruZSdLMOvH/4KALhcehmLBi5qeK6fN1KPpCIo2s5MHCsOpVH7tVeTg5WHx1w8IRZhzq+//oqPP/64wfGWLVuiuLjYoZh0tTiitrZWlbFc6WDloVwExO/CYu6wtAuLkczMhjOixc5wNuZSWVoJfZXtW1a1V2pRWVopuTika68+BysPj7l4QizCHF9fX1y8eLHB8b/++gvNmzd3KCbdViYIQjTid2G5hrVdWAChMBw7tuE4RuMM58xMp5pLEATh9owcORIvv/yyabkgjUaDkydP4v/+7/8wZswYh2JScWiFjIwMxMXFYZClxeJchLe3t2xd83LGcqWDlYdyuYa4XVi8YbwxYW0XFr1e6DG01AMpdoYzD5+Xmjzu4mDl4TEXT4hFmPPOO++gvLwcLVq0wOXLlzFw4EC0bdsWAQEBeO211xyKSVfKCikpKUhJSUFBQQGioqJc3RwA/C1IyuMCsq50sPLI4bC3C8u6dTUoKQHatLE+ftDezOf6M5yt/Y3Gy+elFo+7OFh5eMzFE2IR5gQFBWHTpk3YsWMHDh48iPLycnTr1g2JiYkOx6TikCN4W5CUxwVkXelg5ZHLYWsXlgEDBEdgoPX3i525vGWL5Ykqej2wY4cGxcVAC5ErZDiyBiJde/U5WHl4zMUTYvHMXXfdhezsbAwZMgQrVqwQ/ZoYbr31Vtx6662ytJOKQ47gbeYYjzP9XOlg5VGLQ+zM51dfvfa9caIKYJzEInjCATwuIlb2i9m4+9u7ofPX2T/5KnTt1edg5eExF0+IxTNTp07FpEmT8OWXX0p6zRp1dXVYtGgRMjMzcfz4cWg0GsTGxmLs2LF46KGHHC7KacwhR9TW1so240vOWK50sPJQLvI7jDOfpfzsKiwExowRHsIt6VpcPzPaFn+v+Ruf9/0c5/45J/o9dO3V52Dl4TEXT4jFM4MGDUJAQIDk1yxhMBgwcuRIPProoygsLESnTp1w00034cSJE5gwYQLuuusuh9tJxSFHGAwG2bYGkzOWKx2sPJSL/A5HZj43DGkAYEAl/FFj50aIl48XGt3QCCUHS/BJ90/w109/iXTStVebg5WHx1w8IZZS5OTkYMSIEYiIiIBGo8GqVasanJORkYGYmBj4+fmhd+/e2LNnD/uGXmXRokXIycnBli1bcODAASxbtgzffPMNfvvtN2zevBlbt27F4sWLHYpN/bwcodOJvxXGMpYrHaw8lIsyDuPM5+vXOZRgAgCUwR/zkQp/VAIAPv4Y6NHD/Ez/EH9otBp8d/d3KNhVgGUjlmHACwMw8MWB8NJa/zuZrr36HKw8PObiCbGUoqKiAl26dMGkSZOQbGGR1eXLlyMtLQ0LFixA7969kZ6ejmHDhuHIkSNo0aIFACA+Pt5iD+nGjRsREREha3uXLVuG5557DgkJCQ1eGzx4MJ599lksXboUDz/8sOTYVBxyhJz7UrLaL5QFlAvfjutnPuflmY8ztGMyfVeGIJRBWOC6PAAI72b5HROyJ2Dj9I3Y88Ee5LySg8I9hUhemgz/G/ydzsUZ1HZd1Oxg5eExF0+IJZVLly6ZLRLt6+sLX1/fBuclJSUhKSnJapx58+Zh8uTJmDhxIgBgwYIFWLNmDRYuXIhnn30WAJCbmytv421w8OBBvPnmm1ZfT0pKwvvvv+9QbLqtzBG8jf/gcbyOKx2sPGp0GGc+33cfMGSIJBMsjTm0uU3fTi0u9E3Cjc/dBe9G3vhnwz/4pPsnOL33tGUDXXvVOVh5eMzFE2JJJS4uDkFBQabHnDlzJMeorq7Gvn37zJaH8fLyQmJiInbt2iVnc0Vz7tw5hIaGWn09NDQU58+fdyg29RxaISMjAxkZGaiurnZ1U0xY+ktHDbFc6WDloVzYOcRv0QcA5h5p2/R1RucWobg36FuUnTiHhbcsxPCM4ej2qHmXoyuufdnJMlSWVlo91z/EX/I2gNc7lIL+r7jW4wmxpJKXl4eW9Vbtd6QtpaWl0Ov1DYqx0NBQHD58WHScxMRE/Pbbb6ioqEBkZCS+++479O3b1+5rltDr9TZngWu1WocLcioOraDGRbDlHMzLapA1CygX93IYJ6qMHSsUe/VD1X8ufG8wew2wvU3f9c06dDYUfxkm4/Weq3Dx1yP4cfKPKPilAMPnD4e3n7fTuUjB6Ck7WYb5Heaj9or1H+reft5IPZIquUBU+7VXm4fHXDwhllQCAgIQaGvRVYZs3rzZodcsYTAYMGHCBKvFblVVlaR49aHbyhxRXV0tW0+mnLFc6WDloVzYOqxt0RcZCXz/vfAQXqu++nB8m74qjR/eLRqHhFcHQ+OlwYHPD2DhrQtx4fgFWXIRi9FTWVppszAEgNortTZ7Fu05lIT+r7jW4wmxXEFISAi0Wi1KSkrMjpeUlCAsLMwlbRo/fjxatGhhdsu8/qNFixYOTUYBqOeQK3x8fFQZy5UOVh7Khb3D1hZ9gPDaxo0+KC4GYmOd3KavQIO6W/rjwQ0t8f1936NoXxE+6f4JkpcmI7y/yNW6ncT4mV3BFcUdSkL/V1zr8YRYUklISIBOpzPdEXQEHx8fdO/eHVu2bMHo0aMBCAtQb9myBampqTK2VjxffPGFYrGpOOQI3rYy4nHrKVc6WHl4cljbos/42sCBgsff8kRjANK26YuLa41O8x/Dqbe/xem9p7F0+FJEPngLvAb1RWxr6wWoHPB0XVztYOXhMRdPiCWVrKwsREZG2j2vvLwcR48eNT3Pz89Hbm4ugoODER0djbS0NIwfPx49evRAr169kJ6ejoqKCtPsZXeCikOOMI4f8Lf1m9AFsVzpYOWhXNTnEOuRvk1fEKJbTsRDXdZD99s+FHz1M/76qhCZuAchkY3w3nsNb107S01lDY5uOorCnYUoyHJowUdReNq158Eht8cTYinF3r17zdYMTEtLAyDcvl20aBHGjRuHs2fPYtasWSguLkZ8fDzWr19vc8Ywr1BxyBG87XPJ476krnSw8riLQ6xH2uxngZOF3nit8E7EIxJ34Ce0x3E8hk/xbcE9mDSmES6/VYnBgy2/V8xM4svnL+PUz6dwIucETm4/idN7T6Outk5c45zA0649Dw65PZ4QSykGDRpkd+JMamqqy24js0T9V4swoZXxfpacsVzpYOWhXNTnEOuxNfvZHrmIRzGCMA4/IBjn8Qg+gxcMODqjDketvMfSTOJLRZdwcvtJUzFYcqhE2PmvHgEtAxB5SyRuaHMDdszZIb6REvC0a8+DQ26PJ8SSihxjDj0NKg45oqamRpWxXOlg5aFc1OeQ4nFmm75iBONj3IdkbEF7/G33/NortSg6UIT8rfmmYvDc0XMNzruh/Q2IHhCNVv1bodWAVkBTYVxW5T+VoorDkkMlCO8mbbKMJ157tTvk9nhCLKmIHXNIXIOKQ47gbXAwj4O5Xelg5XEXh1SP49v0aXAFjbAM9yEJa9AL++y+Y/no5deHQFiXMFMxGN0/Gk1Cm5idYtzeyz/EH95+3naXs/np8Z/QuHljtBveTkwSQjM89Nqr2SG3xxNiEcpDxaEV1LhDCm/jP3gcr+NKByuPuzgc8dSf/ZydLbY4vLoYNjQ4gO6iikNoNfBrE4nmPaJxy72t0Kp/FPya+tm2XM3FP9ofqUdSra5jWFNZgy3/24KTOSexbOQyjPxsJOInxItJxKOvvVodcns8IRahPHS1rKDGHVLk3JeS1X6hLKBcPNPhrEf8RBXpjs/0E1HwVxTwFxCZA1EznOvnEhQdZHNSy8ObH8bqR1bj4FcH8cPEH1BeUo5bnrnFbu8MXXv1OeT2eEIsQnlohxSOMBgMsm1BJGcsVzpYeSgX9Tmc9RgnqgDXtt6zYkGD2SN20Nf7u7uwUJgMk5lp+z1SctHqtBi9aDT6zegHANjy7BZseGoDDHW230/XXn0OuT2eEEsqCQkJiIuLQ0ZGhkv8PEI9hxyh0+lUGcuVDlYeykV9Djk81iaqREUB994LLFsGFBRcc4SGAihpGMcWBoNQfE6bJox5tDZpU2ouGi8Nhr45FE3CmmDj0xux+73dqCipwKhFo+Dta/lHO1179Tnk9nhCLKnQhBTpUHHIEbx18fN4S8aVDlYed3HI5bG1Td+cOcD69bUoLgbatAHaNgY+7yXdYTAAp04JDms7vjiaS9+0vmgc2hg/TPgBv3/zOyrOVmBc5jj4BvrK5pACT9deDQ65PZ4Qi1AeKg4JgvB4rG3Tp9UKhSIABAYCZSftzySugTcqYXkXiC1bLO8TrdcLhaOxCJW6TV/nBzqjcfPGWJ68HPlb8rFo0CI8sO6BBjOiCYIgxEDFIUfwNnOMx5l+rnSw8riLg5WnviMoOsjiTOK9e4HHHxe+r4Q/ymB5Mkn92dGRkdfGPAq3tb0bvCZlm742t7XBhOwJWDp8KYoPFGNhv4V4cMODCG4bbDEXpXDXa8+LxxNiEcpDV4sjeOvi5/GWjCsdrDzu4mDlud5haSbx8C6A9hVpW/QVFgJjxpiZzF4bO1YYDymlQIzoEYFJP0/CkmFLcP7YeSy8ZSEeWPeAabFsuvbqc8jt8YRYhPLQbGWCIAgnET/z+Rq2ikjja9OmCbecpXBDuxvwyM5HEBYfhoozFVg0cBGObT4mLQhhkbKTZSjaX2T1UXayzNVNJCxAs5WlQz2HHMHbPpc87kvqSgcrj7s4WHnEOpzZou+qyeyZmEks1mgS1gQTtk3A8ruWI39rPpYOX4q7Ft+F2BGxjjRMEu567ctOlmF+h/k2x5ta2ldbqsdZPCGWVGi2snSo55Aj9Ho99FK7ERjEcqWDlYdyUZ+DlUeKIzkZOH4cyMoCvv4aeP55SaarD3OKiiy1SdjhZdky4aul5vkG+uL+tffjpntuQl1NHb6/73v8+sGvqvq81O6p76gsrbS7pWHtlVqrO9uI9TiLJ8QilIeKQ47gbUFSHheQdaWDlcddHKw8Uh3Gmc/33QcMGSLJBEuLbYeHmz/PzARiYoCEBOD++4WvMTGWF9n29vXGmGVj0OtJYf2dbTO3YfuL2xX9zDz52qvB4wmxCOWh4tAKGRkZiIuLwyCp93MURKfTybaQqJyxXOlg5aFc1Odg5XHGYdyiT9w4RN3Vh4BGIyzGbVxKBxAKwLFjG962trULi8ZLg9vfux2DXx8MANibvhc/TPgB+hplenHc8drXVtWiaL+FLlyZPRSLUAs05tAKatxbWc4ueVa3fVhAuXimg5XHGYdxosrYsUKxV7/jpP5z4Xu92WsAkJ5uvhbi1KmWJ7LY24VFo9Gg/8z+8G7qjU1PbsJvi3/DhZMXMPjVwdA1svwL2z/EX/LYOaGd/F/7mss1KPilAH9t/AsFPxeg+Ndiu7eUnUGtP9vVGotQHioOOYK3/6ju8EuCpYOVx10crDzOOqxNVImMFIo/wPiavsFr9Zex2b7d9kQXMRNYOt7XEb7NfLF2wlqcyD6BL279wmo8RydXuOLal50ssznWz16hW11RjYJdBTi+7ThObDuBwt2F0Feb5+HX1A9XLlxxvuEWUOvPdrXGkkpCQgJ0Op2p04ewDxWHHMHbPpc87kvqSgcrj7s4WHnkcNjaog8QXtu4UYfiYiA21vIOKZYmpljC1nk6nQ4dRnSAZoEGqyeuthnHOLlCanHI+to7Mou46lIVTv18ylQMnv71NOpq68ze0yS8CSJviUTkrZFof1t71FTW4NMen9pt189v/oyRn42ETxMfybnIgSfEkgrNVpYOFYccIedgXlaDrFlAuXimg5VHLoe1LfqMr/XvL3iaWNnx7vqJKdZo0UKYwXx9EarXAzk5BhQXAyE1YZLbLxbW117sLOI/V/6JS4WXcDz7OIr2F8GgN29nYFQgYgbGoNXAVmg1sBWC2wajoqICANCkSRPRYw7/WP4HCncXYsSnI9A6sbWkXOTAE2IRykPFIUfU1NSoMpYrHaw8lIv6HKw8asnFOLnF1i4svr7A+PHCOUYiI4WZ08uWAQUFgiMcwOMytft61PJ5Xc+GaRvMnjeNbWpWDDaNaQrNdTOH6jv8Q+zvq+2l80LjFo1x4fgFfDX0K3R9pCtue/s2+DX1kzUXT49FKA8Vhxzh4yP+NgXLWK50sPJQLupzsPKoJRdbk1uMVFWZF4aAME7xrbdMlqtfxY2d2/nOTtx8782IGRgD30BfUe9h/XldNlwWdX5gZCDaDGuDVgNbIWZgjKjb5fVzsbavdn38Q/zh18wPW2Zuwa8Zv+LA5wdwdN1R3PHRHegwsoMoj7N4QixCeag4JAiC4ARbk1vKyoBLl+T1/f717/j969+h0WoQ0SMCsUNiETs4FlH9oqzOclaa6vJqFP5aiGPZx3B6z2kU7iy0/yYA9/5wr2mPaUextK+2JYbPH46bxt2E1Y+sxrm/z+GbUd/g5ntvxu3v347GzRs71QaCYAEVhxxRXV0NAGjc2PkfLnLGcqWDlYdyUZ+DlUdtuVia3KLXA4mJoiyS2tQxuSNKDpbg3NFzKNxdiMLdhdjx+g5ofbWI6heF2MGxiB0Si4geEdDqtBbzcGYmscFgwIX8Czi18xRO7TqFgp0FKDlYAkMdm/Frzlz7Vv1b4T+//QfZL2Vj19u78Ps3v+PY5mO4/f3bcfO9N5vdwlbrz3a1xiKUh4pDjuBt5hjNWFWnx10crDxqzOX6yS3Llom2XP0q7rZyv2f742hFOE4eKoNPYT58CvNxfGs+Lp2+hONZx3E86ziyXsiCTxMftBrYCrGDYxHaJxTNb24OQPpM4prLNSjaV4RTO0+hYFcBTu08hYozFQ3eExgViLCeYWjZuyWCwoKwavwqsR+AJJy99rpGOgydOxQ33X0Tfpj0A84cOoPM+zPx+7LfccdHdyCwZaAsHjOnB8QilIeKQ464frC0WmK50sHKQ7moz8HKw0MuYmcyA4KjEv6ogTd0sF60aXTeSBzpjyPFABAEIB6RkfFIf9+AgTf/i/wt+cjfmo/jWcdx+dxl/L3mb/y95m8AQKPgRogdHIvgdsGiZhJvfnYzzh09h+IDxQ2WlPHSeSG8Wzii+kUhsm8kovpGITAy0DST+OKRi2KTl4xc1z6iRwQe2/sYdryxAzmv5uCvH//CiZwTuO3t29D1ka6q/dmu1lhSoXUOpUPFIUfwNnNMrbMW1epg5XEXBysPD7mImcl81QIAKENTzEcq/FGJ0FDgxx/N11XcuhVImeGPsmLz272FhcDdd2uwYkUIkp8IQc8nesJQZ0Dxb8WmYvFEzglcPncZeSvyRLf/92W/m75vEtbEVAhG9o1ERPcIePs1/FVl/LzEzCL29vOGf4i/6PZc75ADrY8WA2cNRMfkjvhh0g84/etp/Dj5R/yx/A8MeHsAglpJ343GEmr9PeHK2cq0zqF0qDjkCO31q+KqJJYrHaw8lIv6HKw8POQiZibz1TNN313UBOEigjD/QyCy57Uz9Hrg2VFAmYV3W9qmT+OlQXjXcIR3DUe/6f1w4dwFFO8rRskvJTi86jCK9xfbbX/cPXG4cdSNiOoXhaBWQaJ6mYyfV0B0gKhZxI5sBajEtW9xcws8svMR/JL+C7JeyMKxzcdwst9J3Prirej/dH9cKrzkVC5q/T3B6v8RIQ9UHHIEb/9RefilqiYHK4+7OFh5eMnF2kzmqCjg3nuN6xxec1jaog9wfps+Hz8fRN8SjRuH3oj2d7THJ90/sdv2W//vVskziet/XmJnEUtFqWvv5e2FftP7ocOoDvjx0R9xIucEsv8vG0e+PYIzh8402LqvPva2NVTr7wkqDvmCikOO4K2Ln4fbcWpysPK4i4OVh6dcbG3TN2cOsG5dDUpKgDZtLG/RB4jfpm/LFsu7sGzdes3RVsGJqe5w7W9odwPGZ43H9vTt2PHiDhTts//h29vWUK2/J2gRbL6g4pAjeBsczMNAfjU5WHncxcHKw1su1rbp02qBAQMER2Cg9feLndzy6qvXvjffheVaHl1aAHeJCycZd7n2Gi8N4h+NR+thrbFh8gYU7LLRbSsmnkp/T7hyQgohHS9XN4AQj1arla1rXs5YrnSw8lAu6nOw8nhaLsbJLVJ+lxt3YRFuR2thHNt45ozDTbWLWj4vuTzNYpoh6YMkWWKp8fcEq8+SkAcqDjlCr9dDr7c+FsVVsVzpYOWhXNTnYOXxtFyMk1sAaQViPcvVx7Ulc2zh6ExitXxecnrk6F1T6+8JVp8lIQ90W5kgCIIww9rkFqmUIci0ZM7HHwM9ejQ8x9GZxARBKAcVh1bIyMhARkaGacsfNeDtLd/lkjOWKx2sPJSL+hysPJ6ay/WTW/LyzMcZ2rCYPStDEMoQhPIAILybtPbatKjs81KLxxNiEcpDV8sKxpXUCwoKEBUV5ermAABqa23vNOCqWK50sPJQLupzsPJ4ci71J7dkZ4stDi07rE100estz662a1Hh56UGjyfEIpSHxhwSBEEQdnFkogognB8VJbz/ejIzgZgYICEBuP9+4WtMjHDcEzHu9mILR8doejIJCQmIi4tDRkaGq5vCDdRzyBG8dfHzeEvGlQ5WHndxsPJQLgLid2G55jAWkunpDXsDMzOFWNfHKSwUjq9Y0XCBbjOLyj8vRzz+0f4Wd3s5++dZrHxwJQBg9FejbY7RVOvvCVfeVqbt86RDPYccUVNTI9tConLGcqWDlYdyUZ+DlYdyuYZxokrLlubHo6KAGTOEnkVh/2bBERlpucjT64XJLpYKTOOxadOE86zBw+fliCcoOgjh3cLNHp0f6IxujwkDNre/sh11tXVM2qzWWITyUM8hR/C2IClviwe72sHK4y4OVh7KxRx7u7CsX69BcbHtXVic3aJPrlzsoaZrP+S1Icj7Lg8lB0uw9+O96JXSy+FYcrbLFbEI5aHikCN46+Kn23Hq9LiLg5WHcmmIrV1YEhKu3iK1MSzOmS36AKFHcedObxQXC2MUxU5ikYqarr1/iD8GvzYYa59Yi6zns3DTPTehcfOG+xOq9fcEzVbmC7paHMHbzDEeZ/q50sHK4y4OVh7KRX6Ho1v0GRfnFtZfrG3wmq0xio6gtmvf/bHu2P/JfhTnFmPLc1sw8tORDseSs12sYxHKQ2MOOcJgMMBgfRS4y2K50sHKQ7moz8HKQ7nI73Bk5nNhITBmjPAQbkkbrj6uTWKRe5az2q69l9YLSfOFLfYOfH4Ahb8WOhxLznaxjkUoDxWHHKHT6aDT6VQXy5UOVh7KRX0OVh7KRX6HI1v0NawrdFcf4iexSEWN1z76lmh0fqgzYADWpa6Doc78g1Hr7wlWnyUhD1QccgRv+1x62p60vHjcxcHKQ7ko47A281mCCcY9nAHzSSxyodZrnzg3ET4BPijcU4jcRblOxZKzXaxiEcpDxSFH1NbWyjZuQ85YrnSw8lAu6nOw8lAuyjmSk4Hjx4GsLODrr4Hnn5dkgqXdWKxNdtHrhV1eli0TvoqpU9R67QPCAzDopUEAgM3Pbsbl85cdjiVnu1jFIpSHikOO8PX1ha+vr+piudLBykO5qM/BykO5KOswzny+7z5gyBBJpqsPcyxNdnF0JxY1X/teT/ZCSMcQVJ6tRPaL2U7FkrNdLGIRykPFIUfwNjhYbYO51e5g5XEXBysP5cLOIW2iyrUJKYD1bfqMO7Fcv66imEksar72Wp0WSe8Lk1N+zfgVJQdLHI4lZ7tYxCKUh4pDjqiurkZ1dbXqYrnSwcpDuajPwcpDubBz2JqoUv+58H311Yf1bfqc3YlF7de+dWJrxI2Ng6HOgHVProPBYFDt7wlWnyUhD1QccoSPjw98fHxUF8uVDlYeykV9DlYeyoWtw9pElchI4PvvhYfwms/Vh/Vt+qTsxGIJHq79be/cBu9G3jiRcwK/f/O7an9PsPosCXmgRbA5gretjNS09RQPDlYed3Gw8lAu7B22tugDhNc2bdLY3SHFmZ1Y9Hpg+3b7Djlw5jMLig5C///1R9bzWdg0fRMmDZ4EnwB5ijDefudYIyEhATqdDikpKUhJSXFZO3iCikOOqKqqAgD429qXygWxXOlg5aFc1Odg5aFcXOOwtkWf8bXevQVPs2bWPY7uxHLffcKs5oKCqqtH/RXbhQVw/jPr93Q/5C7Mxflj57Hj9R245aVbVPd7gtX/I0tkZWUhMjKSuZdn6LYyR3h7e8u2P6WcsVzpYOWhXNTnYOWhXNTnEOtxZCeWggLgrbeMt6O9YexDUWoXFsD5z8zbzxu3v3c7AODARwdwMf+iKtqlVCxCeag45AitVgutTPc15IzlSgcrD+WiPgcrD+WiPodYjyM7sVwX4epDuV1YAHk+s/Z3tke7O9qhrqYO2c9kyzIzmLffOYR8UHHIETU1NaipqVFdLFc6WHkoF/U5WHkoF/U5pHic24ml5upDQIldWAD5PrPb02+H1keL41uO48gPR1TTLrljEcpDxSFHaDQa2Qb1yhnLlQ5WHspFfQ5WHspFfQ6pHsd3YtFcfZgj5y4sgHyfWXDbYHSf0h0AsH7aetRcdq4Y4+13DiEfVBxyBG/jP9Q09ogHByuPuzhYeSgX9Tkc8Ti2E8u1MYf1kXMXFkDez6zvM30REBmAshNl+Hnuz07F4u13DiEfVBxyBG/7XKp1X1K1Olh53MXBykO5qM/hrEf8RBXz/ZuV2IUFkPcz8/L1woBXBwAAdryxA+fzzzsci7ffOYR8UHHIEbxtZaTmrafU6GDlcRcHKw/loj6Hsx7xE1WubdGn1C4swnny/mxvO6otYgfHQl+lx8a0jU7F4ul3DiEfHlEcvvvuu7jpppsQFxeHKVOmcPsPVKfTQafTqS6WKx2sPJSL+hysPJSL+hxyeKxNVImKAmbMEHoWAd3Vh3K7sADy/2z38fFB0gdJ8PL2wuFVh3F0/VGHY/H0O4eQD7cfAHD27FnMnz8ff/zxB3Q6HQYMGIBffvkFffv2dXXTJCNnlzyr2z4soFw808HKQ7mozyGXx9ZOLHPmAOvX16K4GGjTxvldWGydp8TP9uZxzdFlfBcc+PwAfnzsR4z9diy8fcx/5fuH+CMoOohpuwg+cPviEBD+UV65cgWAMJ2+RYsWLm4RQRAEoQas7cSi1V4bWxgYaP39YndhKSkRZjFfvxWgsE0f7BahUik7WYaDSw4CAC6euoiFfRc2OMfbzxupR1JtFoiEZ+Ly28o5OTkYMWIEIiIioNFosGrVqgbnZGRkICYmBn5+fujduzf27NkjOn7z5s0xffp0REdHIyIiAomJiWjTpo2MGbCDt5ljap21qFYHK4+7OFh5KBf1OVh55NqFxcsLeOqphrOYjTOc77zTG48+6i1phrO9NleWVkJfZXstndortagsrbQbSw5otjJfuPxKVVRUoEuXLpg0aRKSLWxauXz5cqSlpWHBggXo3bs30tPTMWzYMBw5csTUAxgfH2+xy3rjxo1o1KgRfvrpJxw/fhyNGjVCUlIScnJyMGDAAMVzkxveuvh5ur2kBgcrj7s4WHkoF/U5WHnEOIyTW8aOFQpES0Pa6+rMnxcWAmPGmJnMXhs71vL4Rrna7EisspNlNgtJlreoCeVxeXGYlJSEpKQkq6/PmzcPkydPxsSJEwEACxYswJo1a7Bw4UI8++yzAIDc3Fyr7//uu+/Qtm1bBAcHAwDuuOMO/PLLL1aLw6qqKtMG4QBw6dIlqSkRBEEQHoRxcsvUqeaTU7y8GhaGgOUCsv5rGo0ww3nUKHluMdviwMIDqDhTgbCuYWgS2sTiOWUnyzC/w3zUXrFe4NEtavfC5cWhLaqrq7Fv3z7MnDnTdMzLywuJiYnYtWuXqBhRUVHYuXMnrly5Ap1Oh+zsbDz22GNWz58zZw5mz57tdNuVQM59KVntfcoCysUzHaw8lIv6HKw8UhzXT24pKRFuJYs0mT2rP8PZ0nhIm5Ekfi6/ZvyKXzN+BQA0CW+C8K7hCOsahrCuYQjqEISgmCBcKr1kszAErt2itlYc0r7KfKHq4rC0tBR6vR6hoaFmx0NDQ3H48GFRMfr06YPhw4eja9eu8PLywpAhQzBy5Eir58+cORNpaWmm54WFhYiLi3MsAZnRy7jbu5yxXOlg5aFc1Odg5aFc1Odg5ZHqqD+5ZdkySSaLRy3NcDZOYLl+drXxtexsPYqLgRYim97mtja4cOIC/v3rX5QXlePvor/x99q/Ta/7BvmiWZtmUpKxCKt/F4Q8qLo4lIvXXnsNr732mqhzfX194evra3p+8eJFpZolGTnXZ2S1SC0LKBfPdLDyUC7qc7DyOOMQO4v5qklUjMzMhreuIyOvLegtvCbECgfwuAjzkDlDEN4tHNXl1Sg5WIKiA0UoPlCM4gPFOPP7GVSVVaF4f7GUZCzC6/rCnoqqi8OQkBBotVqUlJSYHS8pKUFYWJiLWuU65FxAlNUitSygXDzTwcpDuajPwcrjjMM4i7mw0PYYw6sms2cajfDe+tv0Gbfouz5Ww8ktjrXZp4kPovpFIapflOnYpQuX8O/hf3F8/XFsm73NobimVtEC2Fzh8qVsbOHj44Pu3btjy5YtpmN1dXXYsmWL4otYZ2RkIC4uDoOkDvhQEL1eL1vXvJyxXOlg5aFc1Odg5aFc1Odg5XHGYWuLvvrPhe/1MN5atrRNn5gt+uq1GoAelfBHjZ3+H28/b/iH+NtIArjhphvQYWQHm3HEwOrfhdq566670KxZM4wdO9bs+KlTpzBo0CDExcWhc+fO+O6771zUQgGX9xyWl5fj6NFrW/vk5+cjNzcXwcHBiI6ORlpaGsaPH48ePXqgV69eSE9PR0VFhWn2slKkpKQgJSUFBQUFiIqKsv8GBtCYQ9d5KBf1OVh5KBf1OVh5nHVYm8UcGSkUf4DxNX2D1+ovY2Nvi77rWg0AKENTzEcq/CEsP/Pxx0CPHuZn2lt+Rmr+xQeLEd7N8v10KgwFpk6dikmTJuHLL780O+7t7Y309HTEx8ejuLgY3bt3x/Dhw9G4cWOXtNPlxeHevXuRkJBgem6cDDJ+/HgsWrQI48aNw9mzZzFr1iwUFxcjPj4e69evbzBJxROg28qu81Au6nOw8lAu6nOw8sjhsLVFHyC8tnGjDsXFQGys5R1SxG7Rd7XVpu/KEIQyCMVfeQAQ3k1a2435X8ZlUeevfmQ1LhVcwq0zb4WX1vzGJN1WFhg0aBCys7MbHA8PD0f41UGmYWFhCAkJwblz5zy3OBw0aJDdgaqpqalITU1l1CL1QhNSXOehXNTnYOWhXNTnYOWRy2Ftiz7ja/37C54mlpcZVGRyC2B/5nNOjgHFxUC4vz+0ft7Q21jORuOlgaHOgKwXsnBs0zHcteQuBEVd65XkYUJKTk4O3nrrLezbtw9FRUVYuXIlRo8ebXZORkYG3nrrLRQXF6NLly744IMP0KtXL1nbsW/fPuj1epfetXR5cUiIp6amRpWxXOlg5aFc1Odg5aFc1Odg5VFLLtImt5jHsjS5BRA789kYqxk6hKXihacrMXiwZat/iD+ObzuOtU+sxYmcE1jQeQFGfDYCcWPiROWoBpTesS0iIsJuG86dO4eHH34Yn376qfMJOQEVhxzh4+OjyliudLDyUC7qc7DyUC7qc7DyqCUXW1v01X8ufO9j9hpgPrkFkDLz+Vqsv0qC8NAzQTa39evyUBdE9YtC5v2ZKNxTiO/Gfoduk7th2LvDmH2Wlrh06ZLZsnTXL1lnROkd2+xRVVWF0aNH49lnn0W/fv0cjiMHqp6t7ErUOFuZIAiC8EyMk1tatjQ/HhkJfP+98LD02vXFnLSZzw1fmzZNiGGN4DbBmLhjIm6deSugAfZ/uh+fdP8EJb+VWH+TwsTFxSEoKMj0mDNnjuQYxh3bEhMTTcek7thmC4PBgAkTJmDw4MF46KGHnI7nLFQcWiElJQV5eXkWB466iurqalRXV6sulisdrDyUi/ocrDyUi/ocrDxqyyU5GTh+HMjKAr7+Wviany8cN762enU1Pvmk2uy1+kib+Vx99SFQf1s/W2h1Wgx5fQge3vwwAiIC8O+Rf7E0YSl2p++GoY792MO8vDyUlZWZHvW35BWLrR3biovFLxKemJiIu+++G2vXrkVkZKSpsPz555+xfPlyrFq1CvHx8YiPj8ehQ4ckt1Mu6LYyR9BsZdd5KBf1OVh5KBf1OVh51JiLvcktCQlCLGuTWxyd+WwvhqXJLbGDY/Gfg//B6kd+xJEfDmP789vx+w+ncdf8wfD21jQMchV7S+xIJSAgAIGBgbLFc4bNmzdbPH7rrbeirq6OcWusQ8UhR2iuX0lVJbFc6WDloVzU52DloVzU52Dl4TEXe7GkzXy2HEvatn7+mLH3HoRhJ4YhG+d//Qef9/7HSmQBbz9vpB5JlbVAdBZP27GNbitzRE1NjWwzvuSM5UoHKw/loj4HKw/loj4HKw+PudiLZZz5LK4erUH92c8aDRAVZXlbv+tvVRsnt4wZAxQUarAXN+ET3ItSBNssDAGg9kotKksrxTRQFAkJCYiLi0NGRobDMVy5Y5sroJ5DjtBevzKqSmK50sHKQ7moz8HKQ7moz8HKw2Mu9mJJm/msNXsNcGZbPy3OogVWYTQexUJJOTlLVlYWIiMj7Z6n1h3bXAEVh1bIyMhARkYGk8HIYqHi0HUeykV9DlYeykV9DlYeHnMRE0v8tn7aBq85vq2fEEuv4rKDdmy7hnqvkotR497KtAi26zyUi/ocrDyUi/ocrDw85iI2lpht/datq0FJCdCmjRzb+ql/EWzase0aVBxyBE1IcZ2HclGfg5WHclGfg5WHx1ykxLI383nAACGWtYm+ckxuYUFCQgJ0Op2p04ewDxWHHEG3lV3noVzU52DloVzU52Dl4TEXlrGkbevH5rO0hNgxh8Q1aLYyR+j1euhtLU3voliudLDyUC7qc7DyUC7qc7Dy8JgLy1jGyS1Aw9nP9Z8L3+uvPggeoOKQIAiCIAiHkLqtXyX8UWvnpqW3nzf8Q/wVaC0hFrqtzBHe3vJdLjljudLBykO5qM/BykO5qM/BysNjLq6IJWZyy6ZN3iguBmJi/NG5VSqqzltfx1DuHVII6VBxaAU1LmVTW1uryliudLDyUC7qc7DyUC7qc7Dy8JiLq2LZm9zSr58QS5jcEgTEsiv+aEKKdKg4tIIal7IhCIIgCEIaNCFFOlQccoRabz240sHKQ7moz8HKQ7moz8HKw2MunhCLUB66WhxBi2C7zkO5qM/BykO5qM/BysNjLp4Qi1AeKg45ghbBdp2HclGfg5WHclGfg5WHx1w8IRahPFQccgRvXfw83pJxpYOVx10crDyUi/ocrDw85uIJsQjloavFEWqd0eZKBysP5aI+BysP5aI+BysPj7l4Qiyp0Gxl6VBxyBH2NgR3VSxXOlh5KBf1OVh5KBf1OVh5eMzFE2JJhWYrS4eKQyuocZ1DnU6nyliudLDyUC7qc7DyUC7qc7Dy8JiLJ8QilIe2z7NCSkoK8vLykJ2d7eqmmFDr/puudLDyUC7qc7DyUC7qc7Dy8JiLJ8QilId6Du1QV1cHACgqKnJxS4ALFy4AAJo2baqqWK50sPJQLupzsPJQLupzsPLwmIsnxBKL8fe28fc4IR4qDu1QUlICAOjVq5eLW0IQBEEQhFRKSkoQHR3t6mZwhcbgylGiHFBbW4sDBw4gNDQUXl7y3YW/dOkS4uLikJeXh4CAANniugLKRZ24Sy7ukgdAuagVykWdOJtLXV0dSkpK0LVrV1pKRyJUHLqIixcvIigoCGVlZQgUdiLnFspFnbhLLu6SB0C5qBXKRZ24Uy68QRNSCIIgCIIgCBNUHBIEQRAEQRAmqDh0Eb6+vnjxxRfh6+vr6qY4DeWiTtwlF3fJA6Bc1Arlok7cKRfeoDGHBEEQBEEQhAnqOSQIgiAIgiBMUHFIEARBEARBmKDikCAIgiAIgjBBxSFBEARBEARhgopDF5GRkYGYmBj4+fmhd+/e2LNnj6ubJBm9Xo8XXngBsbGxaNSoEdq0aYNXXnkFPMxxysnJwYgRIxAREQGNRoNVq1Y1OOfPP//EyJEjERQUhMaNG6Nnz544efIk+8baYM6cOejZsycCAgLQ4v/bu/+omu8/DuDPD3VxS6v0gxs386tCJZpWWCanxCxylk2ocYRdq2x+5IyjrWPi2MzBmB+L+XFUI2uMJAotVklpuEr5sclaCIlK9/X9Y2ef47rdfuDbp+z1OOdzTp/35/25n+f7c8/nc159Pp97r5UVxo0bB7VaXWdfIoKvr6/e8Uptw4YNcHJygomJCUxMTODu7o5Dhw4BAO7cuYOPP/4YdnZ26NChA5RKJUJDQ3Hv3j2JUzcsOjoagiAgPDxcbHv8+DFUKhU6deoEY2NjTJgwQfypzpasrrHcunULU6ZMQefOnWFkZISBAwdi79690oXUIzIyEoIgaE329vZafTIyMjBixAgYGRnBxMQEb731Fh49eiRR4vr9+eefmDx5Mjp16oQOHTrA0dERWVlZdfadNWsWBEHAN99807whG6F79+4674sgCFCpVK36uG/tuDiUQGxsLD755BMsXboUZ8+ehbOzM3x8fFBaWip1tCZZsWIFNmzYgHXr1uHixYtYsWIFVq5cibVr10odrUEPHz6Es7Mz1q9fX+fyK1euYOjQobC3t0dqairy8vKwZMkStG/fvpmT1i8tLQ0qlQqnT59GcnIyampq4O3tjYcPH+r0/eabbyAIggQpG6dr166Ijo5GdnY2srKyMGLECPj5+eH333/HzZs3cfPmTaxatQr5+fnYtm0bDh8+jOnTp0sdu16ZmZn47rvv4OTkpNU+d+5c/Pzzz4iPj0daWhpu3rwJf39/iVI2jr6xTJ06FWq1GomJiTh//jz8/f0REBCAnJwciZLq169fP5SUlIjTqVOnxGUZGRkYNWoUvL298dtvvyEzMxNz5sx5qT+b+rLcvXsXQ4YMgaGhIQ4dOoQLFy7gq6++gpmZmU7fhIQEnD59GgqFQoKkDcvMzNR6T5KTkwEA7733Xqs97l8JxJrd4MGDSaVSifO1tbWkUCho+fLlEqZqujFjxtC0adO02vz9/SkwMFCiRM8HACUkJGi1TZw4kSZPnixNoBdQWlpKACgtLU2rPScnh2xsbKikpKTO8bZUZmZmtGXLljqXxcXFkUwmo5qammZO1TgPHjyg3r17U3JyMnl6elJYWBgREZWXl5OhoSHFx8eLfS9evEgAKCMjQ6K09dM3FiIiIyMj+uGHH7T6m5ub0+bNm5s5Zf2WLl1Kzs7Oepe7ubnR4sWLmy/QC1i4cCENHTq0wX5//PEH2djYUH5+Ptna2tLq1av//+FeUFhYGPXs2ZM0Gk2dy1v6cf+qaHn/Er3iqqurkZ2djZEjR4ptbdq0wciRI5GRkSFhsqbz8PBASkoKLl++DADIzc3FqVOn4OvrK3GyF6PRaHDw4EH06dMHPj4+sLKygpubW4u8Ffusf2+3mJubi22VlZWYNGkS1q9fj86dO0sVrUlqa2uxZ88ePHz4EO7u7nX2+ff3Vg0MDJo5XeOoVCqMGTNG61gHgOzsbNTU1Gi129vbQ6lUtthzgL6xAP+cB2JjY3Hnzh1oNBrs2bMHjx8/xvDhw5s/aAMKCgqgUCjQo0cPBAYGio+JlJaW4syZM7CysoKHhwesra3h6empdWWxJUlMTISrqyvee+89WFlZwcXFBZs3b9bqo9FoMGXKFMyfPx/9+vWTKGnTVFdXY+fOnZg2bZreuxwt/bh/VXBx2MzKyspQW1sLa2trrXZra2vcunVLolTPJyIiAu+//z7s7e1haGgIFxcXhIeHIzAwUOpoL6S0tBQVFRWIjo7GqFGjcOTIEYwfPx7+/v5IS0uTOp5eGo0G4eHhGDJkCPr37y+2z507Fx4eHvDz85MwXeOcP38exsbGaNeuHWbNmoWEhAT07dtXp19ZWRmioqIQEhIiQcqG7dmzB2fPnsXy5ct1lt26dQsymQympqZa7S31HFDfWAAgLi4ONTU16NSpE9q1a4eZM2ciISEBvXr1auak9XNzcxNvS27YsAHFxcUYNmwYHjx4gKKiIgD/PJc4Y8YMHD58GAMHDoSXlxcKCgokTq6rqKgIGzZsQO/evZGUlITZs2cjNDQU27dvF/usWLECBgYGCA0NlTBp0+zfvx/l5eUIDg6uc3lLP+5fJVx6s+cWFxeHXbt2Yffu3ejXrx/OnTuH8PBwKBQKBAUFSR3vuWk0GgCAn58f5s6dCwAYMGAAfv31V2zcuBGenp5SxtNLpVIhPz9f62pHYmIijh071iKf/6qLnZ0dzp07h3v37uHHH39EUFAQ0tLStArE+/fvY8yYMejbty8iIyOlC6vHjRs3EBYWhuTk5Bb3jGpTNWYsS5YsQXl5OY4ePQoLCwvs378fAQEBOHnyJBwdHZs5sX5P39FwcnKCm5sbbG1tERcXBwcHBwDAzJkz8eGHHwIAXFxckJKSgu+//15vYSwVjUYDV1dXfPnllwD+yZqfn4+NGzciKCgI2dnZWLNmDc6ePduinzN+1tatW+Hr61vn85Et/bh/5Uh9X/u/pqqqitq2bavzzNfUqVPp3XfflSbUc+ratSutW7dOqy0qKors7OwkSvR88MwzeFVVVWRgYEBRUVFa/RYsWEAeHh7NnK5xVCoVde3alYqKirTaw8LCSBAEatu2rTgBoDZt2pCnp6c0YZvAy8uLQkJCxPn79++Tu7s7eXl50aNHjyRMpl9CQgIB0Nnn/74PR48eJQB09+5drfWUSiV9/fXX0oTWo6GxFBYWEgDKz8/XWs/Ly4tmzpwpUerGc3V1pYiICCoqKiIAtGPHDq3lAQEBNGnSJInS6adUKmn69Olabd9++y0pFAoiIlq9erXe497W1laCxA27evUqtWnThvbv36+zrDUc968avq3czGQyGQYNGoSUlBSxTaPRICUlRe+zVS1VZWWlzif52rZtK155a61kMhneeOMNna+EuXz5MmxtbSVKVTciwpw5c5CQkIBjx47h9ddf11oeERGBvLw8nDt3TpwAYPXq1YiJiZEgcdNoNBpUVVUB+OfKgbe3N2QyGRITE1vsVTkvLy+cP39ea5+7uroiMDBQ/NvQ0FDrHKBWq3H9+vUWdw5oaCyVlZUA0CrPAxUVFbhy5Qq6dOmC7t27Q6FQtIpjHgCGDBlSb9YpU6boHPcKhQLz589HUlKSFJEbFBMTAysrK4wZM0arvbUc968cqavT/6I9e/ZQu3btaNu2bXThwgUKCQkhU1NTunXrltTRmiQoKIhsbGzowIEDVFxcTPv27SMLCwtasGCB1NEa9ODBA8rJyaGcnBwCQF9//TXl5OTQtWvXiIho3759ZGhoSJs2baKCggJau3YttW3blk6ePClxcm2zZ8+m1157jVJTU6mkpEScKisr9a6DFvpp5YiICEpLS6Pi4mLKy8ujiIgIEgSBjhw5Qvfu3SM3NzdydHSkwsJCrbE+efJE6ugNevYTvrNmzSKlUknHjh2jrKwscnd3J3d3d+kCNsHTY6murqZevXrRsGHD6MyZM1RYWEirVq0iQRDo4MGD0gZ9xqeffkqpqalUXFxM6enpNHLkSLKwsKDS0lIi+udqm4mJCcXHx1NBQQEtXryY2rdvT4WFhRIn1/Xbb7+RgYEBLVu2jAoKCmjXrl0kl8tp586detdpyZ9Wrq2tJaVSSQsXLtRqb+3HfWvGxaFE1q5dS0qlkmQyGQ0ePJhOnz4tdaQmu3//PoWFhZFSqaT27dtTjx496LPPPqOqqiqpozXo+PHjBEBnCgoKEvts3bqVevXqRe3btydnZ+c6b3dIra4xAKCYmJh612mJxeG0adPI1taWZDIZWVpakpeXFx05coSI9L9fAKi4uFja4I3wbHH46NEj+uijj8jMzIzkcjmNHz+eSkpKpAvYBM+O5fLly+Tv709WVlYkl8vJyclJ56ttWoKJEydSly5dSCaTkY2NDU2cOFGn8Fu+fDl17dqV5HI5ubu7t7h/Bp/2888/U//+/aldu3Zkb29PmzZtqrd/Sy4Ok5KSCACp1Wqt9tZ+3LdmAlEr+DkLxhhjjDHWLPiZQ8YYY4wxJuLikDHGGGOMibg4ZIwxxhhjIi4OGWOMMcaYiItDxhhjjDEm4uKQMcYYY4yJuDhkjDHGGGMiLg4ZY6wZDB8+HOHh4VLHYIyxBnFxyBhrkuDgYIwbN07qGHpFRkZiwIAB4nxz501NTYUgCCgvL9dq37dvH6KiopotB2OMPS8DqQMwxtjzqK6uhkwmazXbMzc3f4lpGGPs/4evHDLGXsjw4cMRGhqKBQsWwNzcHJ07d0ZkZKRWH0EQsGXLFowfPx5yuRy9e/dGYmKiVp/8/Hz4+vrC2NgY1tbWmDJlCsrKyrS2M2fOHISHh8PCwgI+Pj4NZouMjMT27dvx008/QRAECIKA1NRUAMCNGzcQEBAAU1NTmJubw8/PD1evXhXX/feK47Jly6BQKGBnZwcA2LFjB1xdXdGxY0d07twZkyZNQmlpKQDg6tWrePvttwEAZmZmEAQBwcHBYv6nbyvfvXsXU6dOhZmZGeRyOXx9fVFQUCAu37ZtG0xNTZGUlAQHBwcYGxtj1KhRKCkpEfukpqZi8ODBMDIygqmpKYYMGYJr1641uF8YY6w+XBwyxl7Y9u3bYWRkhDNnzmDlypX44osvkJycrNXn888/R0BAAPLy8jB69GgEBgbizp07AIDy8nKMGDECLi4uyMrKwuHDh/HXX38hICBAZzsymQzp6enYuHFjg7nmzZuHgIAAsagqKSmBh4cHampq4OPjg44dO+LkyZNIT08Xi6/q6mpx/ZSUFKjVaiQnJ+PAgQMAgJqaGkRFRSE3Nxf79+/H1atXxQKwW7du2Lt3LwBArVajpKQEa9asqTNbcHAwsrKykJiYiIyMDBARRo8ejZqaGrFPZWUlVq1ahR07duDEiRO4fv065s2bBwB48uQJxo0bB09PT+Tl5SEjIwMhISEQBKHB/cIYY/UixhhrgqCgIPLz8xPnPT09aejQoVp93njjDVq4cKE4D4AWL14szldUVBAAOnToEBERRUVFkbe3t9Zr3LhxgwCQWq0Wt+Pi4tJgvqVLl5Kzs7PevEREO3bsIDs7O9JoNGJbVVUVdejQgZKSksT1rK2tqaqqqt7tZWZmEgB68OABEREdP36cANDdu3e1+nl6elJYWBgREV2+fJkAUHp6uri8rKyMOnToQHFxcUREFBMTQwCosLBQ7LN+/XqytrYmIqLbt28TAEpNTW1wnzDGWFPwlUPG2AtzcnLSmu/SpYt4q7WuPkZGRjAxMRH75Obm4vjx4zA2NhYne3t7AMCVK1fE9QYNGvRS8ubm5qKwsBAdO3YUt2dubo7Hjx9rbc/R0VHnOcPs7GyMHTsWSqUSHTt2hKenJwDg+vXrjd7+xYsXYWBgADc3N7GtU6dOsLOzw8WLF8U2uVyOnj17ivNP71dzc3MEBwfDx8cHY8eOxZo1a7RuOTPG2PPiD6Qwxl6YoaGh1rwgCNBoNI3uU1FRgbFjx2LFihU6r92lSxfxbyMjo5eSt6KiAoMGDcKuXbt0lllaWurd3sOHD+Hj4wMfHx/s2rULlpaWuH79Onx8fLRuR78sde0zIhLnY2JiEBoaisOHDyM2NhaLFy9GcnIy3nzzzZeehTH238HFIWNMcgMHDsTevXvRvXt3GBi83NOSTCZDbW2tzvZiY2NhZWUFExOTRr/WpUuXcPv2bURHR6Nbt24AgKysLJ3tAdDZ5tMcHBzw5MkTnDlzBh4eHgCA27dvQ61Wo2/fvo3OAwAuLi5wcXHBokWL4O7ujt27d3NxyBh7IXxbmTEmOZVKhTt37uCDDz5AZmYmrly5gqSkJHz44Yf1FlmN0b17d+Tl5UGtVqOsrAw1NTUIDAyEhYUF/Pz8cPLkSRQXFyM1NRWhoaH4448/9L6WUqmETCbD2rVrUVRUhMTERJ3vLrS1tYUgCDhw4AD+/vtvVFRU6LxO79694efnhxkzZuDUqVPIzc3F5MmTYWNjAz8/v0aNq7i4GIsWLUJGRgauXbuGI0eOoKCgAA4ODk3bQYwx9gwuDhljklMoFEhPT0dtbS28vb3h6OiI8PBwmJqaok2bFztNzZgxA3Z2dnB1dYWlpSXS09Mhl8tx4sQJKJVK+Pv7w8HBAdOnT8fjx4/rvZJoaWmJbdu2IT4+Hn379kV0dDRWrVql1cfGxgaff/45IiIiYG1tjTlz5tT5WjExMRg0aBDeeecduLu7g4jwyy+/6NxK1kcul+PSpUuYMGEC+vTpg5CQEKhUKsycObPxO4cxxuog0NMPsDDGGGOMsf80vnLIGGOMMcZEXBwyxhhjjDERF4eMMcYYY0zExSFjjDHGGBNxccgYY4wxxkRcHDLGGGOMMREXh4wxxhhjTMTFIWOMMcYYE3FxyBhjjDHGRFwcMsYYY4wxEReHjDHGGGNMxMUhY4wxxhgT/Q+5AJv+PFcpbQAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "K.SCF_convergence()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We here see the different steps that the code took to optimize the density." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Writing band structures out of a converged system\n", "The logfile, for periodic systems, can also be employed to write band structures." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "spacegroup Im-3m (229)\n", "Lattice found: cubic\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/opt/upstream/lib/python3.12/site-packages/ase/dft/kpoints.py:654: UserWarning: Please call this function with cell as the first argument\n", " warnings.warn('Please call this function with cell as the first '\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "irreductible k-points 120\n", "Interpolation bias 6.95567292478855e-09\n" ] } ], "source": [ "from BigDFT import BZ\n", "BZ_K = K.get_brillouin_zone()" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/upstream/lib/python3.12/site-packages/ase/dft/kpoints.py:356: UserWarning: Please do not use (kpts, x, X) = bandpath(...). Use path = bandpath(...) and then kpts = path.kpts and (x, X, labels) = path.get_linear_kpoint_axis().\n", " warnings.warn('Please do not use (kpts, x, X) = bandpath(...). '\n" ] }, { "data": { "text/plain": [ "(-1.0, 3.0)" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = BZ_K.plot(npts=300)\n", "ax.set_ylim([-1,3])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As an another example, we might inspect the $k$-points such as the $\\Gamma$ point:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "{'Rc': [0.0, 0.0, 0.0], 'Bz': [0.0, 0.0, 0.0], 'Wgt': 0.0003}\n" ] } ], "source": [ "Gamma = K.kpts[0]\n", "print(Gamma)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Case of a Geometry optimization" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For a geometry optimization the situation is similar, with the extra point that the code automatically recognize multiple runs inside the logfile. Let us see the example of the following logfile:" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Found 11 different runs\n", "- cell: Free BC\n", "- number_of_orbitals: 7\n", "- posinp_file: sqnmbiomode.xyz\n", "- XC_parameter: 1\n", "- grid_spacing:\n", " - 0.45\n", " - 0.45\n", " - 0.45\n", "- spin_polarization: 1\n", "- total_magn_moment: 0\n", "- system_charge: 0\n", "- rmult:\n", " - 5.0\n", " - 8.0\n", "- energy: -14.900068217309986\n", "- fermi_level: -0.2935133380623\n", "- forcemax: 0.00376314\n", "- forcemax_cv: 0.01\n", "- force_fluct: 0.000771111\n", "- gnrm_cv: 0.0001\n", "- nat: 8\n", "- symmetry: disabled\n", "- No. of KS orbitals: []\n", "\n" ] } ], "source": [ "geopt = L.Logfile(join(datadir,'GEOPT-all_sqnmbiomode.out.ref.yaml'))\n", "print(geopt)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The interesting point is that now the logfile can be iterated among the different geometry steps:" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0 -14.896095253859464\n", "1 -14.897377172313178\n", "2 -14.898482433406212\n", "3 -14.898861280172312\n", "4 -14.899264325696496\n", "5 -14.899589665247579\n", "6 -14.899694268869062\n", "7 -14.899781420570605\n", "8 -14.899830568576757\n", "9 -14.899987054521805\n", "10 -14.900068217309986\n" ] } ], "source": [ "en = [l.energy for l in geopt]\n", "for i,e in enumerate(en):\n", " print(i,e)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `geopt_plot` function allows to plot the relation beween energy and forces, where it can be also seen that the desired criterion is reached. Errorbars show the local fluctuation of the forces, an indication of the (cleaned) center of mass drift. See the example:" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = geopt.geopt_plot()" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "tags": [] }, "outputs": [], "source": [ "sys_opt = S.system_from_log(geopt,fragmentation='full')\n", "sys_start = S.system_from_log(geopt[0],fragmentation='full')\n", "sys = [S.system_from_log(l,fragmentation='full') for l in geopt]" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "application/3dmoljs_load.v0": "
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\n", "
\n", "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from BigDFT.Visualization import InlineVisualizer\n", "viz=InlineVisualizer(400,300)\n", "viz.display_system(*sys)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Visualization of a Linear Scaling calculation\n", "In the Linear Scaling approach the self-consistent field has a different method for achieving convergence.\n", "It consists of a double-loop structure where the basis set of the BigDFT support functions is first\n", "optimized to minimize the band structure energy (up to a user-defined defined energy level) of the\n", "given Hamiltonian operator. Then, the Hamiltonian and Overlap matrix elements in the provided subspace are\n", "used for calculating the Density Matrix Kernel, which gives rise to a new Hamiltonian operator until convergence.\n", "\n", "We now visualize this behavious with a logfile which is conceived for Linear Scaling.\n", "We use a ~5k atoms system (SarS-CoV-2 Mpro)." ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [], "source": [ "mpro = L.Logfile(join(datadir,'log-mpro.yaml'))" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "- Atom types:\n", " - N\n", " - H\n", " - C\n", " - O\n", " - S\n", " - F\n", "- cell: Free BC\n", "- number_of_orbitals: 6661\n", "- XC_parameter: -101130\n", "- grid_spacing: 0.45\n", "- spin_polarization: 1\n", "- total_magn_moment: 0\n", "- system_charge: -2\n", "- rmult:\n", " - 5.0\n", " - 8.0\n", "- dipole:\n", " - -16.6482\n", " - -1.404238\n", " - 4.437426\n", "- energy: -23355.30738828983\n", "- forcemax: 0.2424825335692\n", "- forcemax_cv: 0.0\n", "- gnrm_cv: 0.0001\n", "- nat: 4752\n", "- symmetry: disabled\n", "\n" ] } ], "source": [ "print(mpro)" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/bigdft/install/lib/python3.12/site-packages/BigDFT/Logfiles.py:412: UserWarning: No artists with labels found to put in legend. Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n", " ax2.legend(loc=\"upper right\")\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mpro.SCF_convergence()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We here see that the behaviour is completely different from the other approaches as the residues have actually different meanings.\n", "Also, the convergence criterion in the various loops are handled in a different way." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.5" } }, "nbformat": 4, "nbformat_minor": 4 }