{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# More Usage Examples\n", "\n", "Here we simulate multivariate autoregressive processes from papers in order to show how various directed connectivity measures work. See the papers for details." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "from spectral_connectivity import Connectivity, Multitaper\n", "from spectral_connectivity.simulate import simulate_MVAR\n", "from spectral_connectivity.transforms import prepare_time_series\n", "\n", "\n", "def plot_directional(time_series, sampling_frequency, time_halfbandwidth_product=2):\n", " m = Multitaper(\n", " prepare_time_series(time_series),\n", " sampling_frequency=sampling_frequency,\n", " time_halfbandwidth_product=time_halfbandwidth_product,\n", " start_time=0,\n", " )\n", " c = Connectivity(\n", " fourier_coefficients=m.fft(), frequencies=m.frequencies, time=m.time\n", " )\n", "\n", " measures = {\n", " \"pairwise_spectral_granger\": c.pairwise_spectral_granger_prediction(),\n", " \"directed_transfer_function\": c.directed_transfer_function(),\n", " \"partial_directed_coherence\": c.partial_directed_coherence(),\n", " \"generalized_partial_directed_coherence\": c.generalized_partial_directed_coherence(),\n", " \"direct_directed_transfer_function\": c.direct_directed_transfer_function(),\n", " }\n", "\n", " n_signals = time_series.shape[-1]\n", " signal_ind2, signal_ind1 = np.meshgrid(np.arange(n_signals), np.arange(n_signals))\n", "\n", " _fig, axes = plt.subplots(\n", " n_signals, n_signals, figsize=(n_signals * 3, n_signals * 3), sharex=True\n", " )\n", " for ind1, ind2, ax in zip(signal_ind1.ravel(), signal_ind2.ravel(), axes.ravel()):\n", " for measure_name, measure in measures.items():\n", " ax.plot(\n", " c.frequencies,\n", " measure[0, :, ind1, ind2],\n", " label=measure_name,\n", " linewidth=5,\n", " alpha=0.8,\n", " )\n", " ax.set_title(f\"x{ind2 + 1} → x{ind1 + 1}\", fontsize=15)\n", " ax.set_ylim((0, np.max([np.nanmax(np.stack(list(measures.values()))), 1.05])))\n", "\n", " axes[0, -1].legend()\n", " plt.tight_layout()\n", "\n", " __fig, axes = plt.subplots(1, 1, figsize=(3, 3), sharex=True, sharey=True)\n", " axes.plot(c.frequencies, c.power().squeeze())\n", " plt.title(\"Power\")" ] }, { "attachments": { "image.png": { "image/png": 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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "## Baccala Example 2\n", "\n", "> Baccalá, L.A., and Sameshima, K. (2001). Partial directed coherence:\n", " a new concept in neural structure determination. Biological\n", " Cybernetics 84, 463–474.\n", "\n", "\n", "$$x_1 = 0.5x_1(n-1) + 0.3x_2(n-1) + 0.4x_3(n-1) + w_1(n)$$\n", "\n", "$$x_2 = -0.5x_1(n-1) + 0.3x_2(n-1) + 1.0x_3(n-1) + w_2(n)$$\n", "\n", "$$x_3 = -0.3x_2(n-1) - 0.2x_3(n-1) + w_3(n)$$\n", "\n", "![image.png](attachment:image.png)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def baccala_example2():\n", " \"\"\"Baccalá, L.A., and Sameshima, K. (2001). Partial directed coherence:\n", " a new concept in neural structure determination. Biological\n", " Cybernetics 84, 463–474.\n", " \"\"\"\n", " sampling_frequency = 200\n", " n_time_samples, _n_lags, n_signals = 1000, 1, 3\n", "\n", " coefficients = np.array([[[0.5, 0.3, 0.4], [-0.5, 0.3, 1.0], [0.0, -0.3, -0.2]]])\n", "\n", " noise_covariance = np.eye(n_signals)\n", "\n", " return (\n", " simulate_MVAR(\n", " coefficients,\n", " noise_covariance=noise_covariance,\n", " n_time_samples=n_time_samples,\n", " n_trials=500,\n", " n_burnin_samples=500,\n", " ),\n", " sampling_frequency,\n", " )\n", "\n", "\n", "plot_directional(*baccala_example2(), time_halfbandwidth_product=1)" ] }, { "attachments": { "image.png": { "image/png": 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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "## Baccala Example 3\n", "\n", "> Baccalá, L.A., and Sameshima, K. (2001). Partial directed coherence:\n", " a new concept in neural structure determination. Biological\n", " Cybernetics 84, 463–474.\n", "\n", "![image.png](attachment:image.png)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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9hjVr1mDChAl/9+tYrVZkZ2enHD2FYGclRpPm5oRjZOUQGR7DYbCU+KxZs7hwTJw4EYsXL0ZrayvPWjFmzpyJkpIS7hYxnnjiCcyfPx+vv/46n7tTXV3Nr7tcLn4QbTCrRXOXOtwmRkoSnGi8w9nIBKFnzllwZsyYgdraWi4iTDxYuptZLlog+dixYzxzpbF06VKe3frBD36Q8jlsHs+vfvWrrvgeMobk7JNm4dT+YQlC+/ai5JlnYDWbU8ZmdctdEkQaBYcxZ84cfpxpol8yR44c+XZ31gMJhNuyT3azBDkcRt0f/sD7LR9/jKzp07mVw9wpChwTRoTWUumI1nA0Yd2YJBGhQ4cSr0WqTiZeY9BcHMKIkODoCL9q4TitiuEZ3NM2tym0fz9vKTVOGBkSHB3RGoom3ClGaO+exGuhigre0uQ/wsiQ4OgwhuO0qoKz/0CKhcOyWGThEEaGBEdHtKqC47AoLlW0tjbxWtzvR7ypiUpUEIaGBEdH+NWgsWbhRBsaUl6P1HgTk//IpSKMCAmODoPGdrMJciyG2KlTvC95PLyNemtgUy2coLrmiiCMBAmODoPGzMKJNTaydSO8bxs6hLdRrxc2i5QiTgRhJEhwdIQ/KYYTra/n51JuLkzFxfw8UlMDh5rBCqiLPAnCSJDg6HDin9MiIabGb6R8D8y9lGUj0Rov7KqFEyQLhzAgJDg6TIs7LBKidYqFY3J7YOrVi59Ha2oSgkMuFWFESHB0RGtIFRyrCbEG1aXyuGEqVAXH601MCiSXijAiJDh6TIszC6e+IWHhsDgOI+bzceuHEVDHEoSRIMHR6cS/REo8Lw9SllKIIt7cnKiTQxYOYURIcHSEZrUwK4ZZMwwpJweiKjixlhbY1aUNFMMhjAgJjk5jOHFfEz+XcrIhaZURYzG4EE2pfUwQRoIER6cxnFiTYuGI2dkQHA62ARjvOyIBdSwJDmE8SHB0OvEv4VJl50AQBIiqleOIBHlLMRzCiJDg6FJwkmM4yo4Vmltl1wSHLBzCgJDg6ARW60abaWw3C4gnLBxFcLTAsS3s5y1ZOIQRIcHRCWz1t7a3nSMcYArEz8WcHKXNUiwcS1CJ4ZCFQxgREhydBYwZZn8rbwWbDaLFws8ll2LhWEIkOIRxIcHRXS0cCXJzc4o7lexSmQOKGJFLRRgREhy9rRS3SilzcDQk1aWSAkoMJxpv26WTIIwCCY7eJv0lpcTFbCV+w8+dquCo7haDrBzCaJDg6LA0hTbpryOXSm5tgSQKKe8hCKNAgqMzl0qZg9N0muBoLhUTHG3FeHKgmSCMAAmO7nZsYOuoVJcqKYYjqlmqWHMLnOo2MrS8gTAaJDh6nGWsuVTqHJzkeTisRIVD3UZGK7pOEEaBBEcn+EMdr6PS0GrixFqaycIhDAsJjg5jOB2lxTWXKt7cFsPR3kMQRoEERydo1gqL4SSXpmgfNGYuFRuTbBURhFEgwdFZ0FiJ4WhZqqQYjrpaXI5EkCUqQkMWDmE0SHB0F8M5vTQFQ3Q6E+d5clh5D8VwCINBgqMTEqUpTCJ3m9rPwxEkKSE62TFFcFooS0UYDBIcneALRNusl3alKdrPNs6Oh3jrJ8EhDAYJjk5oDER4mxMLnlaaon3g2BkNpmwrQxBGgQRHJ/g0wVGLpCe7U+1T4y61zCgtbSCMBgmOTmj0K3EZp1pCNDlg3H62sV0VJW2FOUEYBRIcHRCJxdt23VQFJ7k0hYZW9c/OSpCShUMYEBIcHdCkulOCAFjUin4dulRZqWVGycIhjAYJjg5o9CuCk2U1QW4+vRaOhuhS0uLWkGIFkYVDGA0SHB3QFFDiN7kOS9v2MLkduFRaXWN15wbKUhFGgwRHRy5Vjt3c4Tqq9lkqSXW7WoJk4RDGggRHRy5VrsPcYWmK0wupt+3cwALOBGEUSHB0JDjZdnOHpSnaB43F1tbTrCOCyFjBWbJkCUpLS2Gz2TBp0iRs3rz5jGN37dqFW2+9lY8XBAGLFy8+n/vNfJeqsakTl0otUdHSgiybUqKCBIfIaMFZuXIl5s6diwULFmDbtm0YM2YMrrnmGni93g7H+/1+DBw4EI8//jiKioq64p4zjoZWJWic77T8HZeqreofEycGCQ6R0YKzaNEi3HXXXZg9ezbKy8uxbNkyOBwOvPTSSx2Ov/jii/HUU0/htttug9Vq7Yp7zjjqW5XFmO5kwenEpWJV/0hwiIwXnHA4jK1bt2L69OltHyCKvL9p06Yuu6lQKASfz5dyZDJ1LYqF43GYOyxNoaGVp5CDQeRZhJQ1WASRcYJTV1eHWCyGwsLClOusX11d3WU3tXDhQuTk5CSOvn37IpOpb1EsnHyEEqUpknds0JDUGA6jQFRS4mThEEZCl1mqefPmoampKXFUVlYik6lXYzjuUHOiDo7QrjQFQzCbIdjt/NwjKELTpGa4CMIIKKmOsyQ/Px+SJKGmpiblOut3ZUCYxXp6SryHzaNJpMUDzWhk/yj5+W0Dtr8O1O4DrngUkEzcyokGAnCrZUbJwiEy1sKxWCwYP3481q5dm7gWj8d5f8qUKRfi/jKeU2pZCrZduK1FSYmbPB7lxWAT8Na9wKeLgT1vpwSOc1TB8QVJcIgMdqlYSvyFF17AK6+8gj179uDee+9Fa2srz1oxZs6cyV2i5EDz9u3b+cHOT5w4wc8PHDjQtd+JQalXA8YsQxWvr+PnpnxVcPataRu4Y1VKajwnqqynIguHyFiXijFjxgzU1tZi/vz5PFA8duxYrFmzJhFIPnbsGM9caVRVVWHcuHGJ/tNPP82PadOmYcOGDejpaILjcVoRq6/n55LmUu19p23ggQ+AsB9SXh7vZoXYbOMcEhwiswWHMWfOHH50RHsRYTOMZTXzQpxOnZqhYhZO9JBq4XhUwana3jYwHgWqd0Byu3nXFVACzKdaSXAI46DLLFVPotqn1CcuyrEhqlo4PGgcaASa1Oxc/0uU9sRWmDyK4DhUwdEmDRKEESDB6WZqVMHplW1FNDmG492tDMjpCwy8XDk/sQ1SniI4lhZfYllEPE4WJGEMSHB0IjhF2TbEauvaYjjVO5UBhSOBYjUGVv0NJLcSw5F8LIEOMK3RtpghCL1DgtPN1PgUl6jQZUG0oaHNpardowzoNRxwD1DOm47DpAaN46dO8fo5yTOVCULvkOB0M9VNioVTyJY1xJSSoSYWGG44rAzwlAHZxcp5pBWSU4nzxxoa4HFaUmYqE4TeIcHpRljsxdusCE5+pIW3Um4uX8KAU0eUQXmlgNkOOAt41yQF2gTHYUlJrROE3iHB6eZZxpGYEvDNCaqCwwLGsWhbhipPdady+iivi0p2So5E0NuiWESUqSKMAglON3JSdafyXRYIp7SUeAHgO67Mu5GsQFbvtmwV+wcLeiE4HPy8txxMKW9BEHqHBKcbOVKv1Cbu73EiWlffto4q4U71ZwWHUgSHWT7a4s4i1Q2joDFhFEhwupGj9cqGdv09DkTratvm4GgBYxa/0VBdKjRWwlSgxHN6xVpTLCWC0DskON3IkTpFMEo9TsRUC4fPwUlYOGr8JllwWGpcFZwCtX7OiVNKIJkg9A4Jjg5cqtJ8JyJqjSEuJqc6sXCSBCfbr5SzqGokwSGMAQlON3JEdalKPQ5Ejh3j55Z+/dosHG3CHyO3n9K2VMPkzuWn9mZltnFzKEqrxglDQILTTbDCWbXNSrC3X7YFEbUmtLmkD9DQNgcnEo8gwGrfODyAycYvm1zqIv/6Or7KnEFWDmEESHC6iQNeJcNUmG2Fo8HLZgHyesUmlwSEFFcplt0Hs9fMxlV/vgqVzccTbpXJrsy/idbWoiRXqXFMcRzCCJDgdBMHahTBGdwrC2G1SLylTx8Ijap14yrCXys/xNe1X6Mp1ITfbv5tm+CYgwnBKc5VrJ7jpxT3jCD0DAlON7Hfq2SYBhe6EFbjN+bk+E1eKVbsW5EY/+mJT3HcpZQeNZsVsYqdOoWybMW9OqxmvAhCz5DgdBMVyRbO0aNtAWN1Dk5Dbh/sqVdWjJfllPF2rUlxpaSoN7H3+FBZEa5DJDiEASDB6QZYydXdJ5UCWkOLXAirBeWtg8oSFs4XNjNkyBiSNwQ/HPpDfm19uDaRGmfuF6N/6BRvD6oxIYLQMyQ43UBVU5BnqEyigBHFOQgdOMivW8vaBGeLrASBJ/eezA/G7kAN4uyksRJmVXDym+sTn+kPK7txEoReIcHpBrYfU+bPDOudBXOgFVGvl/ctSYKzM6RU/xtTMAb9s/vDIloQiIdxwiRxC0cTHJP3ZCI1fqiW3CpC35DgdANfHVPcoLF9cxPWjamoCJLdwsUkJAD7W0/w6yPzR8IkmlCWq8RxKtgWwNEALIVKbeNI5XGUFTj5+cFacqsIfUOC0w1sPKBYLxP6uxGq2MfPrYMGAbV7WYQHFS43onIMedY89HYq5SkG5w3mbYVTmWVscStWTfjwYZQVuPg5WTiE3iHB6YaSonurmyEIwNQhBQjsVIql20aM4EXSGTs9yjKGEfkjILCBAA8eM/Y7FGvGkqcU7mIp9bJcpbYxWTiE3iHBSTMfVSjxmtF9cnnsJbhzF+/bRjLBUcRnp92RcKc0NMGpkJR/MlO0GlJODp+hPCSkBI7JwiH0DglOmtmwT0ltXzakAPFgEKH9+3nfPmoUUKMIzi61kt9Qywis+b/fYPUz29DPPJBfOyYH4RcECPUVsA5RRKikoYq3h+paaI8qQteQ4KSRSCyOjfuV+M3lw3ohsGMH36mB1cAx9erFXSomJoeYxSID9e/YcPCrWlTtb8TWN07CY/WwyzjIiqzXVcA6WInruE4cgcUkIhiJ42gDLXEg9AsJThrZdvQULyXBXKnRJTnwf/45v+6cNAlCcxUQbMRum51P+CsPT0Dd4TbxqNzdgPGhafy8wsIEZz9sw4fxfmjnTowqyUnJgBGEHiHBSSMbKhR3aurgfIiigNbPNvG+8ztTEgHjXXklvB1XewVvyy8txrirlCBy/4PjeVthswERP+yDCnk/8M03uKhYyVRtI8EhdAwJThpZv1cJGF82tBeip05xoWA4pzDBUeM3ThcsUTuyqpR0+MhLSzD6CqWAuuR1whZxosKhrKOyWBoh5uRADgYxKa4EjrcdVSYVEoQeIcFJE2w1d3I6vPmDD3j8xlZeDnNxMVD9NR+3U4igrH4sEBPhLnYiv68LrjwrPCUsHS6gT9NQVJgEHssRvDthHzuGv2/QSSX4vKfah0Y/bRtD6BMSnDSxbIMyo/jyob14DMf33t94P+vaa4F4DDj8CeokEZURH8rqx/HXhkwsTMzD6VeulKbo1zgcPjmKGkkCTu6A65Lv8uvCpo0Y1MsFWQY2HVSsHYLQGyQ4aeBQbQv+su04P7//8jIEKyqUgLEoIvv664Gq7Txg/Em2m7tMJT4l+zRofK/EZ/QboSxl6O8bwTNYe6wW4OTXcF1xOb/u37YNlxfbUmYyE4TeIMFJA0+s2YtoXMYVw3phfH83Gpa/wq9nXXUVLH1KgP3v8/4n7t4Y0DAagiyioF8WcgqUCYCM3mW5MFlEWENOePzF2MwmBzZXweIIK+nxWAxXNCllLt7fVc1T8AShN0hwLjBbjjTg/V01EAVg3nXDeFlQ3zvv8Nc8s+/gM4Xx9Rtgey5sQjDhTpVdpGwFoyGZRfQZmsfP+zYOx6YsJQ2Og+vhulyxcvrs3cq3DWZb/2oBaoLQEyQ4F5CTTQE88PpX/HzGxX0xuDALdUuXQY5EYB83DvaxY4GjG4HGY9ie5YYcsKO4A3dKo98IT0JwDgpqHOcQE5zL+HX/xo24dZTyvlVbFReOIPQECc4FojkYweyXt6DaF+TB3IevHc7T4KfeeIO/XvDgT5SBX/2JNx/3Kceo6qkQZRElQ3JT3CmNvuVKHKd380CYY1Z8brcBB9bCPqwMpsJCxJubcUtzBR/DLJw62nOc0BkkOBeA+pYQ7v7jVp4Gz3dZ8fIdFyNLDuPk/AWsviiyv38jnJMnA/4GYPdf+XKGd8MtGF4zhb9/zHR107t25PZyILvADlGW0L9hJDZle/gEQOHQWuTdNoOPsa5eiTF9cnjM6Dfv7ublTAlCL5DgdDHMsrj6dx9j06F62M0SF5vecT+OzpyF0J49vPh54S9+oQz+4FFeTOvN4sEoOjES1pgDOb3sKB2puE4dMXRSEW9Hn5yGz2wWHvvB1uXI/dGPIDgcCO7ahQXOE5BEAW9tr8KrnysF2glCD5DgdBFslfbvP9yP//3KFtS3hjG0MAur7pmC0v3bcOjmW7gQSHl56PfC8zDl5wNHNnJ3KigIWGHyYELltfxzxl7ZFwKLMJ+BkVNLIJkE9GrtD2tTCda4XMChDTAFjiD/rjv5GNey3+FXFysB5l+/sxtbjzak6SkQROeQ4HQBe6t9uGP5Fvzuwwo+8e5/Te6Ht2aPgXvpUzh+732I1dXBMqgMpSvegH3MGL7wEn9RxOGlYVMxet8NsMWcKOjnwvDvFnf6tRzZliQr53K8VNgHfPOYv/0C7tl3wDZyJGJNTfjun57BTcPd3LW677VtiW2FCaI7IcE5Dw54mzH/7Z244dmN+LiiFlaTiGcnZeGBfX9D5fe+h6Y//wVsLYN79mwM+MtfYOnfH6jZDbx8PdB8EjsKh+DLg8PQv3EEBEnG9DtGQFILbHXG6CuVtVUDG8YgXF+Kd3M9wIkvIe74E/r8fjEvzMUsqgf+8jimWFtR4wvhjpc3w+tT6uwQRHchyAaIKvp8PuTk5KCpqQnZ6gZw3YW3Ocjn1bz7dRW+OKy4KjmhZtwbPYBph7cAB5QsEcNcUoLeC/8PnBMnKhdOfg388WYg0IAve43D697rUVY9gb809bYhGHWZshPD2bDxzf34el0lgqZWfDBqKV6o/Rx9RQfwLx/Bf7QJxx/4CWL19YDFircHT8MfS6fClOXCo98rxw/G90ksmSCIdP5+kuB0EpNhKe0D3hZU1DRjd5UPu6p8qPA2wxEKoLzhMEbXH8LkQBVKTh6EEFN2xYTZjKzLpiHn5pvhuvRSCGyXhbAf2PIi8NET8AeBVZbbUFd9GWxRJ699c/FN/THpukHndH/RcAyrF22D90gzwmIQOwa+id8E/4qSrL7Aj99EJJ6Hqod/Cf8mpeZOiz0L75dchI3Fo1EwcRweu3k0SvOV+sgEcT6Q4JyBUDQGry+ERn8E4VgcsbiMaCyOUCyOygY/thyuR3V1A8LeOgj1tcj1N8ET9METbIKbtz54Ak0o9J+CyNdrt2EbNQo5N9/E10aZWMmIugqEDm5D44EDaKg4hLpWN45GB6MpPAgCJOV+sny4afYklJUrpSjOFb8vjHeXfYXaQ0ot4+PubbjCtgrThWMQrv4V5DG3o2XjZnifejqxnTCj1p6DLwuHw3TRBFxx27UYOVrZgoYgdCk4S5YswVNPPYXq6mqMGTMGzz33HCZqbkMHrFq1Co8++iiOHDmCwYMH44knnsD1bNFiF39DVY0BhKNxtLQE8MXyVZCPHoGpuQnRSJTXD7YGW2GOx2CKxyDJMVhjEdijIdiiYTiiQdhiPMmcAns4cdGCqMmOmGRBxOxCXJAgFw8A+g1E3O1GzGZDOCrD3xJFMCDCH7YiGHdBhqnD+zzlqEbRZAtm3nITLKxc6HkQj8Wx4a1d2P1BDQQ1JBeVfCiw7sIA0xHk5zvg7FcGudWC2M4DaN2wHgikliE9mdsboRGjUTJ+NAZcPBrW3kUweTwQ7fbzujeiZ+C7kIKzcuVKzJw5E8uWLcOkSZOwePFiLij79u1DL1aXtx2fffYZpk6dioULF+J73/seXn/9dS4427Ztw8iRI7v0G3r91jnIO3kcrmgETZ4RCFrdiJmsiEo2yIIEUY5CjEchsAMy4qIJccGEuGiGzM9FQBAhixJkyYSIyY6oaOfv/ba0WBpxyn4SDY5qnHJVYdjwUjxw2b+gl+P0Z3U+HDtUi9UrP4Jc6YQ5bj3jOElqgQ0tsISDQKsflkArpFgQpmhQaWMhSPw8BFGUYc6ywp7rhN2TDZsnF7ZeebD2yofkzoNotXKXUTtEhyNxCDYbxYl6CL4LKThMZC6++GL84Q9/4P14PI6+ffvigQcewMMPP3za+BkzZqC1tRXvvvtu4trkyZMxduxYLlpd+Q29POsF+O0Xxj2Is/+EGPyWJsSFOILmFgRMLUqrHkFT23ncGkZubjbK3AMw3DMc5Z5yjPSMRK5N2cjuQnGw/hBWfvxXHN1fC6svC1khN5zhXDjDOTDJ52dNaTDBlmJhRZTiEQhyDKIc460gx/lsaikehigrhyBEAVEGpDh7MwR2iOxchsCuizK/xgw01teu8T57D2/Z+9W8qgQIJtYX1HMB3JiUZIgSILNr/Dq7JkJkr0sCHydLAkSWCWSfwwTRJCrCKIptB/8m2f+Y46z+x35NtF8V9j2yP1l8vpQImb2f/bFib2Lvb/crJSS1gtrTtFjrnwn2tTt9PfHymcbJf/eSyJx8QYQkCDCxP8xsVxD1tdzsfhgy/B+6THA6tvnPQDgcxtatWzFv3ry2mxVFTJ8+HZs2KfV528Ouz507N+XaNddcg7feegtdTZ07CFOoBbIA1DuqcCxvD0KmICJiCHExBjEuQZKZpSPxEhAxMcpFhLUxQTmX+S+EDFGII24KIWYOIm4Ow2yS4TRZ4TDZ4TS74LR74HLko5fFBae5LxwmBwocBejj6oM+WX3gsXm65S98mWcgHrnlp/y8IdiAQ42HcKjpEA6f+greuuNoqm9Bqy+OYBgwx2x8TRZrLYlzKywxK6xRG2wRG6xRK0xxKyTZBhHKbp/MGoyyw3z6eq/zhv0ysPi7GoO/4Mhx9leX/0lRWlkRTd4q/bZzhlb2QxOfpDGs5ZfbrqWMRZJopVxPfs/pfeV+2n0u+5ykHy91pNLp8OdOuaZ9BVX2OhyTMsL0FYb8v84F51w4J8Gpq6tDLBZDYaFSvFuD9ffuZdvUng6L83Q0nl0/E6FQiB/JCno2lNwWxPHmtfwP4bj8cvyg+A6YBBMXRdayPbq1QxIk3ppFc9t1NlZQ/+JlAG6bG+4iNyYUKan3ZKLxKFojrfCFfWgONyuHvw4hfx3CIR8ikVMIx4IIR0PwRwLwBQMIBMOIBFiGDIiGADkiAnFBEQf28x9nFq8AKQqYIxLMETPMUQtMUQmmmAgpJnKxZwtUhTg7F7nws9hTWyspsSi1z0wY9ho3WXhfNXG0cxZP01rmDnOTh1kd7FDOO4WPYyfsc4j22P1du7niOQlOumDxnv/4j/845/f9eNJDF+R+MhEmsDnWHH5cSFgWMBCJIRCO8davtrwfjsEfiSEYifFpCGxWdFxmmUO1jcs8k5jyWlI/ph2yjFhMbdVx3ANiN8DO2eaATBBZUTJm0cRl5TzOzuMQ5TgfI2iHzNoYEJchsnNmYfDPaDu4xcPezw0OZZwWnVCMD/VrqveSsJDk01umd/weVRJ/7tTX+Oec9pryNRKGDvtyys2k2Cmp3p0yPvkLJVtGXHjZ/fI/uMq1grJSdJvg5OfnQ5Ik1NTUpFxn/aIiZbp9e9j1cxnPYC5bshvGLBwWJyKMh0kSkcUOW9fEj4getLTBYrFg/PjxWLt2beIaCxqz/hS21UkHsOvJ4xkffPDBGcczrFYrDz4lHwRBGJ9zdqmY5TFr1ixMmDCBz71haXGWhZo9ezZ/naXMS0pKuFvEePDBBzFt2jQ888wzuOGGG7BixQp8+eWXeP7557v+uyEIIrMEh6W5a2trMX/+fB74ZentNWvWJALDx44d40Faje985zt87s2///u/45FHHuET/1iG6mzn4BAEkTn0qKUNBEF07+8nlacgCCJtkOAQBJE2SHAIgkgbupz41x4tzHS2M44Jgkgf2u/l2YSDDSE4zc3NvKXJfwSh799TFjw2fJaKTS6sqqpCVlZWp+uctBnJlZWVlM3qIuiZdi2+DHyeTEKY2BQXF6dMiTGshcO+iT59zr7eL81O7nromXYt2Rn2PP+eZaNBQWOCINIGCQ5BEGkjowSHLfpcsGABb4mugZ5p12Lt4c/TEEFjgiAyg4yycAiC0DckOARBpA0SHIIg0gYJDkEQaSOjBIftCFpaWgqbzcb3z9q8eXN335Iu+fjjj3HjjTfymaFs5nb7LXtYHoEVWOvduzfsdjvfBmj//v0pYxoaGvCP//iPfPJabm4u/vmf/xktLS3oibDqlmyvNjYTnm0GefPNN/ONIZMJBoO4//774fF44HK5cOutt55W65sVr2NVMR0OB/+chx56CNFoFJlExggO2xGUlT9lKUe2qyfbgpjtf+X1erv71nQHKwnLng8T6I548skn8eyzz/KNCr/44gs4nU7+LNkvjQYTm127dvH61GyTQyZid999N3oiH330EReTzz//nD+PSCSCq6++mj9njZ/97Gd45513+C61bDxbqvMP/9C23xPbfomJDdv7je1W+8orr2D58uVc+DMKOUOYOHGifP/99yf6sVhMLi4ulhcuXNit96V32I/A6tWrE/14PC4XFRXJTz31VOJaY2OjbLVa5TfeeIP3d+/ezd+3ZcuWxJi//e1vsiAI8okTJ+Sejtfr5c/no48+Sjw/s9ksr1q1KjFmz549fMymTZt4/7333pNFUZSrq6sTY5YuXSpnZ2fLoVBIzhQywsLRdgRlpv/Z7ghKdMzhw4d5rerkZ8nWyTAXVXuWrGVuFCukr8HGs2fOLKKeDiu1yXC73bxlP5vM6pme9EyHDRuGfv36pTzTUaNGpWwayaxKttiTWZKZQkYITmc7gna2wydxOtrz6uxZspbFGJIxmUz8F6ynP29W2eCnP/0pLrnkksRGAeyZsC2WcnNzO32mHT1z7bVMwRCrxQnCKLBYzs6dO7Fx48buvhVdkhEWzrfZEZToGO15dfYsWds+GM+yKSxz1ZOf95w5c3gAff369SnlVNgzYW5/Y2Njp8+0o2euvZYpZITgfJsdQYmOGTBgAP8BT36WLI7AYjPas2Qt++VhsQmNdevW8WfOYj09DRZ7Z2KzevVq/hzYM0yG/WyazeaUZ8rS5iwNnvxMv/nmmxQhZxkvNu2gvLwcGYOcIaxYsYJnUpYvX86zKHfffbecm5ubEvUnFJqbm+WvvvqKH+xHYNGiRfz86NGj/PXHH3+cP7u3335b3rFjh3zTTTfJAwYMkAOBQOIzrr32WnncuHHyF198IW/cuFEePHiwfPvtt8s9kXvvvVfOycmRN2zYIJ88eTJx+P3+xJh77rlH7tevn7xu3Tr5yy+/lKdMmcIPjWg0Ko8cOVK++uqr5e3bt8tr1qyRCwoK5Hnz5smZRMYIDuO5557j/6gWi4WnyT///PPuviVdsn79ei407Y9Zs2YlUuOPPvqoXFhYyEX8yiuvlPft25fyGfX19VxgXC4XT93Onj2bC1lPpKNnyY6XX345MYaJ9X333Sfn5eXJDodDvuWWW7goJXPkyBH5uuuuk+12u5yfny///Oc/lyORiJxJUHkKgiDSRkbEcAiCMAYkOARBpA0SHIIg0gYJDkEQaYMEhyCItEGCQxBE2iDBIQgibZDgEASRNkhwCIJIGyQ4BEGkDRIcgiDSBgkOQRBIF/8fSK30+tLMkOoAAAAASUVORK5CYII=", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def baccala_example3():\n", " \"\"\"Baccalá, L.A., and Sameshima, K. (2001). Partial directed coherence:\n", " a new concept in neural structure determination. Biological\n", " Cybernetics 84, 463–474.\n", " \"\"\"\n", " sampling_frequency = 500\n", " n_time_samples, n_lags, n_signals = 510, 3, 5\n", " coefficients = np.zeros((n_lags, n_signals, n_signals))\n", "\n", " coefficients[0, 0, 0] = 0.95 * np.sqrt(2)\n", " coefficients[1, 0, 0] = -0.9025\n", "\n", " coefficients[1, 1, 0] = 0.50\n", " coefficients[2, 2, 0] = -0.40\n", "\n", " coefficients[1, 3, 0] = -0.5\n", " coefficients[0, 3, 3] = 0.25 * np.sqrt(2)\n", " coefficients[0, 3, 4] = 0.25 * np.sqrt(2)\n", "\n", " coefficients[0, 4, 3] = -0.25 * np.sqrt(2)\n", " coefficients[0, 4, 4] = 0.25 * np.sqrt(2)\n", "\n", " noise_covariance = None\n", "\n", " return (\n", " simulate_MVAR(\n", " coefficients,\n", " noise_covariance=noise_covariance,\n", " n_time_samples=n_time_samples,\n", " n_trials=500,\n", " n_burnin_samples=500,\n", " ),\n", " sampling_frequency,\n", " )\n", "\n", "\n", "plot_directional(*baccala_example3(), time_halfbandwidth_product=3)" ] }, { "attachments": { "image.png": { "image/png": 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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "## Baccala Example 4\n", "\n", "> Baccalá, L.A., and Sameshima, K. (2001). Partial directed coherence:\n", " a new concept in neural structure determination. Biological\n", " Cybernetics 84, 463–474.\n", "\n", "![image.png](attachment:image.png)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def baccala_example4():\n", " \"\"\"Baccalá, L.A., and Sameshima, K. (2001). Partial directed coherence:\n", " a new concept in neural structure determination. Biological\n", " Cybernetics 84, 463–474.\n", " \"\"\"\n", " sampling_frequency = 200\n", " n_time_samples, n_lags, n_signals = 100, 2, 5\n", " coefficients = np.zeros((n_lags, n_signals, n_signals))\n", "\n", " coefficients[0, 0, 0] = 0.95 * np.sqrt(2)\n", " coefficients[1, 0, 0] = -0.9025\n", " coefficients[0, 1, 0] = -0.50\n", " coefficients[1, 2, 1] = 0.40\n", " coefficients[0, 3, 2] = -0.50\n", " coefficients[0, 3, 3] = 0.25 * np.sqrt(2)\n", " coefficients[0, 3, 4] = 0.25 * np.sqrt(2)\n", " coefficients[0, 4, 3] = -0.25 * np.sqrt(2)\n", " coefficients[0, 4, 4] = 0.25 * np.sqrt(2)\n", "\n", " noise_covariance = None\n", "\n", " return (\n", " simulate_MVAR(\n", " coefficients,\n", " noise_covariance=noise_covariance,\n", " n_time_samples=n_time_samples,\n", " n_trials=500,\n", " n_burnin_samples=500,\n", " ),\n", " sampling_frequency,\n", " )\n", "\n", "\n", "plot_directional(*baccala_example4(), time_halfbandwidth_product=1)" ] }, { "attachments": { "image.png": { "image/png": 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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "## Baccala Example 5\n", "\n", "> Baccalá, L.A., and Sameshima, K. (2001). Partial directed coherence:\n", " a new concept in neural structure determination. Biological\n", " Cybernetics 84, 463–474.\n", " \n", " ![image.png](attachment:image.png)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def baccala_example5():\n", " \"\"\"Baccalá, L.A., and Sameshima, K. (2001). Partial directed coherence:\n", " a new concept in neural structure determination. Biological\n", " Cybernetics 84, 463–474.\n", " \"\"\"\n", " sampling_frequency = 200\n", " n_time_samples, n_lags, n_signals = 510, 2, 5\n", " coefficients = np.zeros((n_lags, n_signals, n_signals))\n", "\n", " coefficients[0, 0, 0] = 0.95 * np.sqrt(2)\n", " coefficients[1, 0, 0] = -0.9025\n", " coefficients[1, 0, 4] = 0.5\n", " coefficients[0, 1, 0] = -0.50\n", " coefficients[1, 2, 1] = 0.40\n", " coefficients[0, 3, 2] = -0.50\n", " coefficients[0, 3, 3] = 0.25 * np.sqrt(2)\n", " coefficients[0, 3, 4] = 0.25 * np.sqrt(2)\n", " coefficients[0, 4, 3] = -0.25 * np.sqrt(2)\n", " coefficients[0, 4, 4] = 0.25 * np.sqrt(2)\n", "\n", " noise_covariance = None\n", "\n", " return (\n", " simulate_MVAR(\n", " coefficients,\n", " noise_covariance=noise_covariance,\n", " n_time_samples=n_time_samples,\n", " n_trials=500,\n", " n_burnin_samples=500,\n", " ),\n", " sampling_frequency,\n", " )\n", "\n", "\n", "plot_directional(*baccala_example5(), time_halfbandwidth_product=1)" ] }, { "attachments": { "image.png": { "image/png": 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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "## Baccala Example 6\n", "\n", "> Baccalá, L.A., and Sameshima, K. (2001). Partial directed coherence:\n", " a new concept in neural structure determination. Biological\n", " Cybernetics 84, 463–474.\n", "\n", "![image.png](attachment:image.png)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def baccala_example6():\n", " \"\"\"Baccalá, L.A., and Sameshima, K. (2001). Partial directed coherence:\n", " a new concept in neural structure determination. Biological\n", " Cybernetics 84, 463–474.\n", " \"\"\"\n", " sampling_frequency = 200\n", " n_time_samples, n_lags, n_signals = 100, 4, 5\n", " coefficients = np.zeros((n_lags, n_signals, n_signals))\n", "\n", " coefficients[0, 0, 0] = 0.95 * np.sqrt(2)\n", " coefficients[1, 0, 0] = -0.9025\n", " coefficients[0, 1, 0] = -0.50\n", " coefficients[3, 2, 1] = 0.10\n", " coefficients[1, 2, 1] = -0.40\n", " coefficients[0, 3, 2] = -0.50\n", " coefficients[0, 3, 3] = 0.25 * np.sqrt(2)\n", " coefficients[0, 3, 4] = 0.25 * np.sqrt(2)\n", " coefficients[0, 4, 3] = -0.25 * np.sqrt(2)\n", " coefficients[0, 4, 4] = 0.25 * np.sqrt(2)\n", "\n", " noise_covariance = None\n", "\n", " return (\n", " simulate_MVAR(\n", " coefficients,\n", " noise_covariance=noise_covariance,\n", " n_time_samples=n_time_samples,\n", " n_trials=500,\n", " n_burnin_samples=500,\n", " ),\n", " sampling_frequency,\n", " )\n", "\n", "\n", "plot_directional(*baccala_example6(), time_halfbandwidth_product=1)" ] }, { "attachments": { "image.png": { "image/png": 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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "## Ding Example 1\n", "\n", "> Ding, M., Chen, Y., and Bressler, S.L. (2006). 17 Granger causality:\n", " basic theory and application to neuroscience. Handbook of Time Series\n", " Analysis: Recent Theoretical Developments and Applications 437.\n", " \n", "$$ x_1 = 0.9x_1(n-1) -0.5x_1(n-2) + w_1 $$\n", "$$ x_2 = 0.8x_2(n-1) -0.5x_2(n-2) + 0.16x_1(n-1) -0.2x_1(n-2) + w_2 $$\n", "\n", "![image.png](attachment:image.png)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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1a/DUU0+Zz9kNwf3334/LL7/cdGHw0Ucf4cUXX8Tbb7+93Svf97w78OO5p5k6SXULGSFY9l9bVwJh2YZA/uLE14FHL+gNn9sJrwV8wOAPwOD0Afj3kHORyKbx1efP+VQUB/6ymbnpLsAPlG0GitYFxkvsCCRlBLoTII5jJvUDnpLAuC52pxAbmBebsZtuBtK2NP93B5rBm64J2FVAJbBxWaApP4t2OF2osPJexzb2w5bP2PSf3Q2w+4DgMlnXht0DsJsA0zR/c6AZf4cugSb0bI7PceNTq7oxKC3KwdLCv5AEJ/pkDIajQ3ZgXqX5QM7PpluJosSOWJrYAV+Vrcbfns34u3jNlq4h2K0A90tlYH0cTiwMNt0362ht2Y7QLhWCXTywKwgvYjwWKuNiYXF/mgDID7fHhwGLS9BtdTl6/1WK4mQXkosZiHFe1fdV8LhuCZ7Y+4EVXC5fwYuV6b8h8v50AWklwCEfodr8qh8HC4OWBbbjxWOSMT/Fj/mLbscxxcfg2B2PrTnfdl75kxmW2jDbwnoO9QkmtjXP7cH1Ca2/ye4G2D0BM0i8WVy9erXJKAVb0bFVUG5urhnOFpPszmDjxo3o378/WrquVUuIlvWoDY9nY/cZJG0gcFqwYIFJYwcFi9SmTJmCJ554wtyprVy5supzngAYJF1yySX4z3/+Y/ot+e9//7v9XRHwpNJvGAoGdEXm0g1IdCcixhWD5D47Ir5DOop+/gFlvnJU+Crg9Xngt/zwMrjYZoIo8ghnPPA3/t4hCUt2TsGq3okmiPqlcBnezPkKxw88PvKsInWzwr6EspuwvkrnHdEy9qj1kw///hBP/f6UORbGqrfMn8GdBmNY5jCM7b8fnvfl4vM1nwOh7QCCgeQWqZs86Lm8BJbDj3XdgF7LCzH4hwLEl/lQkuzG4sEp+H1wKgb9XIgdlhaj44aa3VPQxxOykFLgxfCvN24d6HAiuYSBUG0X2ND+u7a8i/hVsZuBDJ9fxM8cwHGvluK143uAnSYMybBXXHfcQ/PhbWCjicYU43TixXNrzywHi3YGDw78Hp5++mlzUTzvvPNw/fXXm4CHw3jeWLJkicmy7LfffqYYiF0vRCpW4zmILXZ54zZt2jT88ccf5sZuyJAhpooAAxEGHuwH6bjjjsPzzz9v5nPjjTdi7ty5pquU6vP8+++/ceGFF5rPeGFkf0jsBPjggw820/7yyy+47LLL8Pnnn5t1PPDAA013K1xGdQySuC1BXN85c+aYwIjTDhw40NxohmaDdtppJ9OtC5fNZXL7g9kwVgS/9dZb8cgjj5i6TTvuuCOuueYaHHPMMVXLYMfDPP/++OOPptI4i9K4XO7bJ598MqwS7ccff2y2j+dt7psHHngA33zzjVn+YYcdZvYDO0Hmvunbty+uvPJKnHDCCQ36fvBawT79eDPNQPWmm24y8+PxC7a65npxHd59913TByD3M7fv7LPPNtNxm3nDfv755+Piiy+umndw3+25556mKxzuu+OPP97su2DgZWf5nMell16KN954wwS8I0aMMMeWfRnStddea7J13C+cnt8VHhNp2+odOPFEF9piozr+ICNN8/3336MpHHjm9aj45jt0OHAC4voE7tJCcV0r/vgDFUuWoDIvH7G9e8G3eTM2Pfc/VFqVWFW4aktV323rtbzEvGh1z0R8t3snvIbXMKrLKHh9XqTHpyMzMXBCb48q/ZX4au1XWF6wHFlJWRidPRp/F/6NOT/PiTj+Lxt+Ma9nFj9T4zPnluKxpGIfhn+zAQN/qdmyMlRScSVGfL3RvLZl3/fC69xFuyOfX4U1w3ug7+72vlsMmipZp6rF2buA8OJ9xhln4NtvvzU3Zrwo8mJ41llnmQzDDTfcgAEDBpjMC2/UeFGsXvxfPThhMMEbNGZpeLPGv59++qkJKBjgBN8H8d88T0VywQUXmAsvAwYGN7/99ltVz928sDKY4wWYF1S2FL7iiitMUMYLcnXsWoAX3+CFm09RuO2223DkkUeabBLXLTSbxGCB/S9x+IoVK3Daaadh9uzZ5iIdbEjzzDPPmMCG03EdTz75ZBMgjhs3zmT/GQTyQs8qEuxE88svvzT92jAgWLx4sSn6e/zxx838WHIQrFjOwJNBx6677mrWgf1HDR8+3Gwf66jyhviUU04xAdSoUaNQX5MnTzb9VDFQZTDDY8tjXB2Dk1tuucUEPew5nYEJj+lLL71kjuNXX31lvjPsVJn7PYhBIIfxL0tJJk2aZIJGfq/sLv/YY481dXEZuDFYffjhh7H//vubgJz7ijjvV155Ba+++qr6yWonorJVXX102HW4edWGdyzxAwaYV6i0o482AZT7jDNRXlmOzRWbUcqenG0GUd1XliJ7bRneOro7pn8+PbAsODC+13icuvOpcLMYqh1ZV7wO//okvG+ux38JnIzJ7fUjfYMHnjgnCtJiqhUbbh0na205hizahK6rywIVqsUY8lsp8h96ENlXXom2hg0/GHTwt8oA6eeffzbveYFj8X5Qnz59cO+992LkyJGmykBtjx1hsMUsRTArQHvvvbe5QDJw4l8GIAysfv/9d3Ph58WX1QkiYQb96KOPxi677FK1HkHMDjGwuPnmm6uGPfbYY2abeHFlBqg2DJwYwPAJDHyWHAWXEcRiH86PfXTtvPPOJhPHrAuDSW4nl/vhhx9W1RnlujEzxgs8AycGWbzgczwGbLywh64TgwJmUiIVTTLrUv3pEAy2gi666CK89957pupFfQMn7neu93fffVcVSPJ4RCqCPPHEE83xChXa6prZMfYXyPUIDZwYJPL4cJuZyeMTLBiI8ntlZ/ncjwzmGUwF69zecccdJsP08ssvm2CNGFQzw2m3Q1Jp/drX1b0aV1oaej76X6y/4w7EL/7dDOOlenXRqkCx3jawYu+w7zbi/cO7bpnWwgd/f4ASbwku2vUiOGst9ml9ftvwG55b/JwJCIdnDTdFbD06BFo65pfl1wiaQvVfXIgxn+UjoWxrRe6NGbEma7doVEcTTI36cgOGLdjULNvS2jAgT47pgPRJk9AWjRkzJqy/FQYBzHSwPhCL2ZhxYDETi4eCxSAMZliEFQmDDRbNhWIQweKsYHaJgQQDGwZRLLpjELLHHpGLm//5z3+a4sP333/fdObLICo4f64XMxqRgrhly5bVGTgxsGP2gsESqy6wiI+BHS/4oeOEdmzKfcOgkR1g8i+zawcccEDYfHkhZzBH3H8srmKmpr6CAUUQjwf3GwMUZrK4HAZdDel4lcWVXKfddtutali/fv3Ctr229SAGhAwo+T1glo/rwmxSKAaaoRkgZp8YlNtdPo8t93H13vi5PB7bIAa9Cpral3YdOAWDpy433GCK8nwbNyL3zrtMQFDh82BN8eptTs86Nw6/Bcu59cQfLK66cY8bkcxnoLViPr8Pdyy4A4tyF1UNW7xxsSle653SG5cMvwRP//Z0rdN3zinHuA9y4WQF7hAd8z3mNWRR9DyUNiU2BQnuBHj8XpOBtCw/XA4XfKycvg0d4zsi1hVrxvez8jh7aLIsU7cuzh0Ht8NtAmq+SitLw6ZNjElCp/iOVVnKUm8ZCj2FKNsyXlJMElL32QdxffuiPWHREAMKvvicS16ceKHke14oa8MsSvWO71gMxwwKn/vGojYGE8w6MHBiQMaLc20BAIvhuEwWTTF4YvEYAztmXHhhZd0fFg1Wxwt1XXhRZ/EZs12c73333YerrrrK1CkKVg6vC5dNXK9u3bqFfRbMkNTW5Ysd1VvusV4X65uxyIzBHj/nPq3rWDSG6uvBulfMfPEYMJBk8SfXjfstVPVK5PxO1Kf+EfcvjyG/I9WFdlNRVwtHaZvafeBUVZw3cKD5d++xY7HimGMR54pFn9Q+pt5Oma/M/N1UXjMj4rSAY55ZiV92TUNpogt/90kyxVDrStbhjPfPwOz9ZyMjoWYl0dbiiV+fCAuaQq0oXIGLP95aIbNjfgV2/XYjMnIrUJrkxk+7pWHnHwtqBE1NlZWJVFetQ2wHuJ0xcDtcKPIWo9wUx6IqIOHnbFgQiqfB9Ljw/nuYgSzbMi2DKwZI/E6wQUKw76ht4bL42pakmETz4vyLvEVIjE9BegMr4LYG1S94X3/9tSkyYWCzYcMGU78l2I8b60A1BC/0zCawEjgzE8wQMZhiwMPAqbb6TUFcPlsI88WWw6zQzcCJGQvWb2GF6oZkdXjuYaaLrxkzZpjsxWuvvVbV6IZZj9AnLHDfcN25PqxjwwCJwSQzapEwM8Y6ZKw8XVt2zm7P4qwbdcQRR5g6VMQghFm72jJ/dWGRLIspWfeV9aaCdYV4LOysB7uMCN2m0AxQYy2fx5aVz3lceXxFghQ4RTiR7fDKy8i7914Uf/qZyQJ0cAYudskxyVhVVPMZUekbPdhrXqBS4bpuCXj/sC6oiA+kiC+YdwHu2ucudEsOvyOMRsyO/JT3E5ZuXoq0LYHD+3+/b2taZpZYiTkodbMXXdZsDVK2F4NPZoSY/WEAy8wNj028O8EEOaHFotyOSMWkDFoCoZVVa7AT178/KjdsMNnHUDHOGMTEht/BMsNUxelE6hFHIKZrV/iLCuErKYG/oAD+0jIkjR0DZ2oqij74ACWffxFxueknnoCk3XeH5fFg88uvoOSrr8z2pcelI/XII+GuR1EAW7PZrZjdlALrsW288DNQOOecc7Bo0SKTeWE2gRXEeWHnewYsbL3Guj0N/V2znhMzV8F6OgwqWNTEei+hHe5Wx6wKH2zOYjdeWFk0x4eVByuOM4hiyzLWkWIwwwswsyKsM1NXZWEGjFw2i+jYSpDv8/LyquZNzOaw4jwrkbNy+MyZM00LLnavwEwLt4Ut5hjEMIvGPp8YWLDyNls6c1zuP7YWY6aM68fgi3WSGDwwIGA9JRZdsUiqrr6rGMyybg8zZAxC77rrLtNSsSGBE+scsdiT9YQefPBBkx3697//HTFbGGk9WKeI683MHFsHsq6SnSxdfZbPz5nRmjhxoqnAz+PPivPM8LEyf6QiRGkfFDjVovM//4mkvfbC+hsDrVeCF8+uyV2xtrj2TjcZLAxdsAnf7rk1yzT1k6l4/pDno/pZYr9v/B0zv5pZ5zgskmTT//IEV1jRZEJJZVjQtL0Y1KTFp6FDLPv4doQFQcz0MIiqK4tXV92ywFqHH4fk/fZFpzPPhLNap6ssauMx86xahY1PP43ynwL1I1zp6YgbOACVa9chrn8/pE2aBFe1B7FGkrDzzrwKm38zOCv/bTGcSUlIGLyz6dA1KPPfU+E94XhsfOZZVPy+GGlHHon62FYXANGGrZuYVeHFnIEGm5XzgsZ9z1a6vOizUjgzAKyce/jhhzdoOczKsGJvMLvE4IPBFC+EtdVvImZkGCCxywAGJAcddJCpvE5du3Y1gQpbmjEAYiDGrBHH2VbfUZwXW8Gx6Ist2zgdA0YGaUGsA8VAgevJeTNAY52vIAaSLMJkUPTXX3+ZIiTuJ+4zYjDE4kBmZ9j6j/uXGbfg9rKiNIuiGASwaCrYHUEkDN64DBZbsliTx4hBRfUOOu1i8MOgkNvGyuncBnadwBZ8dWGAzUwRW8nxO8J9wu1jy7fGXD7nzdabLD5l5XQGtRyP41d//qq0Lw6rrr4FogRPKrwT4g+UJ5uWwBZ4qy68EFZZOdYUr0WFr/YeqOn9Q7tgRb+t9Zt277o7Lt5ta7FWtCioKMDZHwRah9jNJtHyfsn4dHwmPPEu7PlRLnb6yd7Js3uHHogNdvjJ/Wr61/KYulQupwvxrrpPmpEwkOlwwAHY/PLLLD8IDEtLQ8o/DkLi6NEmW+NwOrHphRdRxr5sPB4kDNnFZHjiBg40n0UrX0EBXLVkAYK/C57Q+eId97YuOtFGj+ho+l69Gfgx0GCF8WhuLs/AlEWQbO3GgLG9LV+app4kO+mOdG7cnrhCGSebeCHudPrpyJ/9ALKTskyRHYuEanPgW+vw0YQsLB2UUlVhnN0eXD7y8qjJPP2S/wtu+Lruoo+M9TWDJmIHk3y9O7GrraApzhWHrsndahSQuRxOuBgsbeN8zsAo49xzTPZnwyOPoHzx73C43UjYbTd0Ov00uDMykD5pa1PkSDqecjLAVytSW9Ak0tqxnytmuVj/jF0zsKiT2S5mdNrD8qX1UuBUDx322w/5Dz4Elx/ontwdG8s3mhZStQVQ+723Hmt7JpqK0sRK1se/fXxUVBhnpmlbQRPt+RH7rK7dP16PXGyZFJOMDrHJcMKJOHd8/Z/o53IhcddhSDn8cMT16QPnlsqxsT16mFaQzBoxWVq9eE0kWtTVZQKxdR/rcbVF7LAztMixOgYs7AKCRYos/mN9LVb4Zh205nqkSksvX1ovFdXVk3f9eqw+/4Iaw1lpmb1kR/Lc6b1RnLL1x8jWejfteVOL9fPEQ84Abluy1pbhiBe33SVDdeyCoXNCZq3BUvfZ98Pz11/IvevukGf7BSpYJw4fjrTjjkVs9+5h9X6kbRbVtWVstcUK3bVpaEu81lBUxzpr7OupNuwzSaSpqaguSsRkZZniE9Y9CcVKy92Su0fs+2nYd5vwxf5bH5fxV8FfWLh+IUZmj0Rze+evd/Dkb4HnU1XXa1mx6VeJrQRZCTwSbmenhE4oqyxHqbfEvPf4PVWtzLISs0wl+tp0v+9exGRnm9cOu+9uhpn+jgoL4UxOhiOK62CI1AeDovYaILB1Wnvddmn7FDg1QPopJyP//tk1hrPvpx1S+2B5wV9hw3f6uQBf752BypitGSZ2KvnCoS+gubBPoEs+vgS5ZTWfBUXj3l+PAb/V/Tw46pjQ0XTLwBfqWdzY88kn4IrQwzLrfKkuj4iItAbR25woiiXvvTcSR0bOFrF4ij1qV3f67GURuwBoLld/eXXkoMmycPiLq+wFTfEd0SFm283uq0s77jjTN1akoElERKQ1UcapAViclHnF5ShbsACelatQsWwZSkN6P2bdpUjFdr2XFod1UcB+k+7Z5x50Sa770QxN1T9TcqEXJz5Wsw5G58TOVQESe8xm/a1YZ2y96mSxb6TOF9SsCyYiItKaKXBqIBYvMesUzDyVLlyI9TfPCiu2Y0/XfOZYaBcF/3dMN6zrvvURH8GH47Je0NlDzsbe3fdulv6Z2JnlhP9bV2M4s2WhAZLpMRv1bGXicKDTGWfUbxoREZFWQIFTI2F/QuxQkY/KCGKXA3w0SOhDYg97eQ3eO6wL/u4bXmzFzM7sH2ab56FN6D2hXnWX2B/TgvULsKZ4DQamD8SAjgMw69utQVwk7IOpU15F2DA+3NhOVimmZw9U5uWZzkCrSz3icKSffHJUdyopIiLSULq6NWIGio/KSNp7r7DhvVJ61RiXmZ4YT+S+n17981XTi7Yd7FDztu9uM0HSB39/gN82/IZXl766zaCJxr+TE9Y5JSu119UaLoiVuLvdcQd6P/OMqbcUfPV++SXzt+PkyQqapFF6FOcz4oLN9ltTz+J8TAwffdIasYUrH6XCZ9rxnPbDDz802bIeeeQR01M3H03T0se3tX3HpGXpCtfIMi+u+ViVnh1qdnK3w5/FEaffXLG5zmfhhXpn+Tv4Me/Heq1fbLkPZ9/zZ9X79PiO5gHEdjuoZEYpUpcB0dIburQ9fIArL+ZtMdjhc+f4yJloMXfuXLMv3nrrLdOb9uDBg5tkOexDhw8g5jP+2N9TUx/fbR3n5viOSduhorom0O2eu7HmX5dUvedT7jvEdkCRp6hq2KBfCvDHzpE73Vq6eSl6pPSoMXx10Wo89/tzJrDqnNAZP+X/VK/1StnswfFPbO2kMzspG4nurfWttiVp7BikHHZYvZYpsr34ENtt9QDd1nt7bq5tXLZsGbp06WJ60d6erBU73ayrc0/2qs5tOuSQQ8zyov07JhJKGacmwMeCJI4YETaMgU6orHXlpoJ2JA/99BA+X/152LDlBctx1RdXmY4z15Wsq3fQxBZ0oUFTp/hOtQZN8TvthB7/nYPez//PFD92OvMMdLn5JmReeqmK4VqDx/4B/Hd8y7+4HjaUlJRg8uTJSE5ONhfRO++8s85iFGY3H3zwQRx++OFISkrCTTfdZIa/8cYb2G233UwPwX369MF1111neu8O4gNzzznnHPNke47DbAozK5988glOO+0004Mw580XM0FUUVGBSy+9FN26dTPLGj16tBm/ehaDj05JTEzEkUceiQ0bNtjabk7Hdfzxxx+rlsthtW0jg5EzzjjD9ILMDiYHDBiA//znPzUeDDxx4kTccccdZl926tQJF110Udh+eOCBB9C/f3+zD7gvjjnmmKppOS6DGi6f+538fj9mzZpVtdyhQ4fiZT5QewvuD47/7rvvYvjw4YiLi8MXX3xR53bz+XDE48Rp2cN6cN1DsbiWxbZB/Pc///lP81w5FidmZ2dXHavtOc7Vv2PcB0cccYT5TrJX6eOOOw7r16+vkSl8+umnzbTsgfr4449HUdHWm2Npu5RxaiIdTzsVpQsWhA1jhienZGvdol5/lYR1TxDq/h/uNxW19+i2h3n/1l9vodxXszK2XQe/tvXxBx3jOyE1LnKHk3H9+qLLDddXvWeFd2ll/F7A50Vrcdlll+HTTz81gU9mZqZ5ftiiRYvqLMLiheuWW24xFztmNvhsNAZf9957L/baay+TOQkWvcycOdNc/PnsNF7YnnnmGfTt29c8K46PIGF2hfOZMWMGlixZYqbhBZNYnMTxnn/+eXTt2hWvvfYaDjroIPz8888m+Pjmm29MMMPAghd9FnVxeXZMmjQJv/zyi5nmww8/NMN4Aa5tG7kN3bt3x0svvWQCoq+++spsIwMkXtiDPv74YzOMf5cuXWqWk56ejpEjR2LBggUm8OAFn9u9ceNGs++IQRj3C+sesegq+HgWbhv32UMPPWS2+bPPPsPJJ59ssjTjxo2rWu60adNMwMZgiMura7tZt2n8+PH49ttvzb/rk/F58sknMXXqVLPv58+fbwKuPfbYAwcccECDj3MoziMYNPF7yaDzggsuMOsdGjTzO/b666+boGzTpk3mGPB4BQN5absUODURPlIkeZ99UBzyQ2OGJ8GdiLLK0qruCR67oG9Yj+Kh7v3+Xnyx5gucNvg0LMgJD8LqY7evNyBtU+BC2jW5K+JdtT/PLOvKKxu8HJH64sNeH330UXOR23///asujAwQ6nLiiSea7EHQ6aefbi7cU6ZMMe958b7hhhtMZoKBDAMTXqQXL16MHXfcsWqcIAYszEAwgxGadXj88cfNXwZNxOwTAx0Ov/nmm02wwUCKyyHOmwENx9kWZm94cWZQFLrc2raRmKEKYgaIgcOLL74YFjgxaLn//vtNsDBw4EAcfPDBJhAKbhMzWIceeqh5sG2vXr3MM+yC+4DDOF1wfZhx43Zy/40dO7ZqvzGj9PDDD4cFTtdff70JXuxsNwM/YsAUadvrMmTIkKrglIEct3XevHlm2Q05ztVxXgyM+YwzBnX01FNPYeeddzb7kQFoMMBi9oz7jE455RQzrQKntk+BUxPKuOD8sMCJshIzkVO6HuWVZVU9ir91dDeUJLtRkF7zobaLchdh0UeLGrT8zHVlmPjC6rDWc3UFTZmX/luPPpFmxbt2j8djisCCWATDYqi6jKhWFM7iri+//DLsosWiLT7ks7S01LQOYzAWvJjawYsn51F9GgYTwQs/L9AsngvFAMNO4LQt1beRZs+ejccee8wEQHyQLvdd9cwcL/ChD/Nl9in4sGEGFwyWGEww4OOL689ixkiYseL+qx4QcbnBgKuu9W0KDJxCcftycwNPRWjIca6Ox5QBUzBoop122slUKudnwcCJRXTBoKn6ekjbpsCpCbE+UNdbb8HaK6ZVDWPxW5ekLqjwlVe1njv0lUAx2vJ+yfh4QlatGaj66L+4EPu+t7VMnpJikmodv+vttyOuzw7bvVyR5sCsSfXMFbMxRx11VI1xWc+FWY764jwZgCxcuDAsEKmtiKept5HFhcx4sQ4YgzNetG+//XZTZBWqeiVyZliYHSFOw2JQFjm9//77ptiKRYLMpERqbcZ9QG+//bap5xWKdZnqWt/6YrcErFgeihXIq6tr+xpynBuqrvWQtk2BUxOL69cPCbvuirLvv68axob7zPywg8z8svywTik9sU58emCW/QVYlimGy8wpR1y5D2WJbmzqFFsjaCLzYN4Iusy6WUGTtAjWQeEFiBd/VrAm1hf5448/woqBtoWVwllvpV+/frVmKVavXm3mGykbERsba7JLoZhR4TBmEVhvKpJBgwbVCFy+/vpr2+sdabm1YUaN9XTOP//8sIxdfbFokPWL+GKRFwOmjz76KGLQyUwLAyRmuOpzPBqCxXas8xWKGaT6tCZsyHGOdExXrVplXsGsE+tJsdI594eIAqdm0PHUKVgTEjgF8ZEsoYET7bi4EF/u29lW1omt8vb8OA+Dfi4w7xPcCYh1xaKgYmsF9NBWfewWoca6nX4a4rcjrS1RyEZHptGyHszcsHI1K4iz+IuVw6+66iqTfagPZk5Yb4fBF1uJcXoW3/FCfOONN5qL/t57742jjz4ad911lwmwfv/9d5MlYHEVi12YXWEdFbYaY9EVL7wnnXSSqXTOLA8Dqby8PDMOL9BsSs+K1qyYzErRrFD83nvv1auYjstlXZpgERMzQtUzOUGsz8O6NlwG6zexgjczRfy3XazI/Ndff5l9wbpQ77zzjsmS1FY0yvVhluuSSy4x4+25556mVRqDOLY2C9Ypawz77befyaBxG5lRY703Hr/qRYJ1achxrl5MyYCSrf547FmZnJXDGaxy3s1VHCnRTYFTM4ito6Jrenw6NpVvqnrvsIDUzV5s6Bz55Blq4K+FVUETZSd1MdksdjXAR7GUbqmEzoAqUq/g7GYg5R/2moxLK3L6u2hNeLHkxeywww4zF+p///vf5uJcHxMmTDBBASso33rrrSZLwYrRZ555ZtU4r7zyigkCTjjhBNMFAi+qbAVFzOSce+65puUUuxNgJoZFWKwEzsCL68SOGjMyMjBmzBgTpBH/PWfOHDM+gzdedK+++mpTMd0OXuBfffVV7LvvviajweWxlVgkbGL//fffm3VkIMDt4AWd3QDYxewSl8dtY/0vBmP/+9//TL2o2nBbmA1i6zoGXZwHM3xs/diYeAyvueYaU9Ge68YK/wxaWdesPhpynENx37KFJ7tmYBDGIJxB13333deo2yutl8OqXqgchdjLLFtD8GTKu5zWyJubi9XnbU2xB1mwTL9MfHxKUKRn2YVPZJkH6U55cBniKvxwOVwmaOKDheuDj0iR1iv4u2AWhC9mHlifRyQUi6YYcDFzU72ulkhbVl5ebjK6kc6N2xNXKOPUTGIyMyMOd8CB7MRsFHgKqjJPKQWR++Dp+VcJhn+9ARl5FfDGOBHvBTISM003B3Yezhuq2913NWArRERE2jd1A92MMi+7NOJwBj3pcenok9oHPTr0wO6fbUCvZeHPsuu6shQH/t9adM6tMMV5sR4/shKzTIXv+gZNnS/+J2K3VMQVkabDIjDW44r0evbZZ9FWtdftlvZBGadmlDhqFNxdslG5rmbl7SDWRcpKysJBb63HCyfHYnOnQPHbLj9shrNaoSr7Zaqv7g/MRkxWPVrtiUiDsfJ1pCb1xEeCtFXtdbulfVDg1Mz9OmVefDHWXTMDVi0nFWLRW88OPXDOS4W484yOpoVd9ppAh5mhAVZ9M01mOp20RJoNO5tsj9rrdkv7oKK6ZhbXvz+yr78OcQPr7hmZFb5ZfPfPObnY4c9iUwm8elcG9eWo42nlIiIism0KnFoA+03qcuONcGdkbHPcTvEdcejcrd0VEOs1pcTVP3BKOeLwek8jIiIi2xk48XlJ7EiMzfv4jCk+VLEu7ESMHayxO3z2xMrO1NhMsD1jXyFJe+y+zfGYeeqa3MU8poU9jXdL7obMxEzTGq++krY8Y0lEWg57Iv/pp5/Mo1z47DP2NVSX9evXm44gOT6nY4/WerSHSCsKnF544QVMnTrVdBzGZx6x91V2XFbbww2fe+4589Ryjs+TBJ+Eznk0dudprVHaMcfYGo9BEjuxZPHctiqEx/bd+iTwUEl77IHYWh5HISLNY+PGjSbw6dq1q3l8B28m+XiQ2ipSs5NGPkKED5AdPHiwqTvEebAzThFpGfWu9MJu7M866yycdtpp5v1DDz1kHgDJJ3YzQKruq6++Mo8kOPHEE817ZqrYo2v15zu1R87ERMT06AHvqlWNMr+sK6cjcfhwWD4fNsyZg7Kff0FMViYSR45EhwkTTJZLRFoOs0fshZs9kBMDIXbAl5+fb4Kj6piNYhN+Po6G+DiWjh07bjNLJSJRknHyeDwmXczHClTNwOk07+fPnx9xGnZxz2mCxXnssp9NVQ8++ODtXfc2ocMBW/fl9ojt3dsETeRwuZBx7rnoMft+ZM+YYR6rwhZ9Iu0dbx5ef/112+PzcRzDhg1r8PL4+JSJEyeaf7N47eSTT8bNN98ctj7stbi2QCgpKQmlpaVVn1dUVJhAiz0eN4dPPvnErCMfB9OWliXSbBkn3hWx+/7q/XDwPR+kGAkzTZyOD4fk0134wEQ+K6iuojqeHPgK7Rq9rWJQU/7TzyhdsKDB84gbNNB0cyAiWwMeBkh8eG6odevWmYfbtgSe+2677TZTRBeKz9Wrrc4nM02cLnh+5TmUGatI2amgjz76CPvvv7857/K5cjxni0jjcTbHXQTvsB544AFTJ4oPmGTRXl0PweTDJHlHFXyxQnlbxUxQ56mXIOP88+o9rTszE11vvQVdrr8e7s6dm2T9RFqT4M1ZbbKzs01xV0vh+YwPMq4rqx+qqKgIOTk56NmzJwYNGoS+ffuajNPatWtrnQfrQBErkvMZdfzbntVWf0ykWQInlsvzIZEspw/F9zwhRcKnXZ9yyinmKeW77LILjjzySBNIMTiqrWXI9OnTzckh+GJlyrbMGReHDvvvbx662+nss21Pl3rkRMT166diOAkz5d0pOOmdk1r8xfXYln322QcXXniheTGo4DmG54zgs8effvppjBgxwgQbPMcwgx3aECVYvPPuu+9i+PDhJih65plncN111+HHH380n/H1xBNPRCyqu+KKK7DjjjsiMTERffr0Mctu6IWWmR02nGGWh5miyy+/vGo7yO1245xzzsGll2599BLrfLLeKDPwLLI7e8vv/4svvsBee+1lskv/+Mc/zI0m58VsWbdu3bBy5Uozf95Ucpv79etnGt6sWLECxx57rJnHfvvth5EjR+Lee+8173m+5XmXDzxlpXQ27Hn55fAHfbMaBfcHP993333N/Orjyy+/NMeU+5PryoZDmzYFulNhKcI///lPZGZmmhbZLIX47rvvasyDVTt4zDkPVvVYsmRJ2OdvvPEGdtttNzMPHjMe69Bgmcf4wQcfxOGHH26KOm+66Sbb0/33v/811yguu3///njzzTfDlv3rr7/i0EMPNceK30keo2XLllV9zukZ4HIZAwcONAkDaXvqdcWNjY01J6d58+ZVDeOPke/Hjh0bcRqWz7MeVKjgE7pDTyqheCLgFzP01V502HcfEwzZEduGM3HScJVWJSr9UfCyas/8hHryySdNUMF6kP/5z39MIMELEDGIYdDAIIgBDy/krDdUHRum3HLLLabl7gEHHIB///vf5nlpLJrja9KkSRGXzYsfg6rffvvNLHvOnDm4++67G7Tf77zzTjMvNpRh4MPMz2uvvVb1Oc+DPPdVD8y4zCFDhpjsEAM3XogPOuggHH300WZ6Xnw5PwaXQTNmzMDzzz9vgiJu88MPP2wqkTOQeuWVV8w4DDi47ewOhrh/nnrqKdOghwEAu4VhnatPP/3UfM4b1KOOOgqHHXaYKeLkzW6kBj+14TQsImRRJOu8cp05r2BRIQM9rhuPN0sfGOwxsApmyIKuuuoqsy8XLFhgvhenn3561Weff/45Jk+ejIsvvtgcM24393kwOAotqmUA9PPPP5vp7U7HYOq4444zWTrWwz3ppJOq1o8tGffee29zfWJxKAM8zjsYfPEZfDwunCePCRMEPJ7cXmlbHFZt0Ust2JXAlClTzBdv1KhR5kf54osvmjJ41nXil5N3RLyzCX6BeSJ85JFHTJ9PS5cuxXnnnWcCMM7LDtZx4t0os0/tIYjyFRcj7957UbZwUZ3j9XzicbjqSPtL2xb8XeTl5ZkXMwm802W2h4FLS3M73Xj24Lof6MrsBDNIvJAHW33yYs07fV7gquPFlFkUFmExUGDGiZkRBlVHHHHENus4cRkMRoIVtqu74447TEDC5dQ1n0jYxQCDkcsuu8y85wWVx4TnumCWi1kWFrsx4GE2hFkNZnjee+89U9dp+fLlVdknnmNZJMeiOr4YhDAQYotkZlM++OCDsIY6QcF9wkxPsI4Tp2FA+eGHH4bd5DI44s0tu43hcpmV4bEI4rG49dZbq+ZVF2YDmQljwFQdK7czA8VgJdjCmgEkM27/+te/zD4LrjfXkQFYMAN2yCGHoKyszHy3ub38jKUSQcwwMigLFl/yGHOeoQGw3emuvvrqqmokwRaNzGYykOX+4XeDASmPVXUMBDktW40H3XjjjWYb2Lpcmh/rDvI3FTw3NlZcUe/uCHjnxpM0I2v+mNniZO7cuVUVxvnDCc0w8YsY/EIyYmfqmSeA6pG+bOVKTkbW9Oko/eZb5N5+e+RxUlMVNEmbMGbMmLCuMnhhZ8aBF3wGLAxemHHixTtYvM/zTGglaxbtNARv3hjEMMtTXFxsgp2G3Jzx5MughjeHQcyWcL2qF9fxYsyLNQMHfsbinuCFmHWcGLjw4swMBnEcbjdfvADzPMrM1bhx42yvH7NJDJAYPIXi8nbddVfzb2ZJQtefaitJiITHKlhMWB33L7eXXdMEcZt5883lhmL2LShYCZ7BNQNOfg9YHBh6/eD3hBdIbh+L2CJ9H+xOF7psBrb8LgSLhrl9occqFIMsbuMZZ5xhuusJ4vepuVpASvNp0MPLgnUSIuFdQ9gC3G7T+SVfYh8vJImjRyGuX19ULN1ahh6UOGpUi6yXSHPhRY1FOXwxiOBNFwMmvq9eiZoXufpicRKLYlg8w3nyAseMAoO2psSLdPACzYtwaCs/PmGBAQbrQrE+UHUMHpidqi9mbIgNc1giEKqxKsuzXlRjCA1MggF1MGBmcMvjxSLF6kIzCtW/D3anqx4UcfnBZde1fZx/sNi1evAZrJoibYee+hrF+KNNO/545N56G6yQehHMNqUefliLrptIY6neGe7XX39tirBY/M+es1k3J9iyNliEZqc+5raa4TN7ww4oWacm6O+//27QNjDoYnaE28J6MMFsA+vBsEJyfXB8FlOy6CcSNrLhxZx1kyIV1XHbKXT7WVTBAImBZ22ZKlZqrl4ZmsfCLgaDrO/KAKU6tgbkejHrw31ODBBZOZzFavXZN8zG1bZvGnu66tvH+kpc7+oBFktcWFTLfgoZjEvbpsApyiXuuiuyr78ORXPnwrtmDWL79EXqxImmR3CRSNwOd1Q8vtushw28mLM1GrMsrDR83333mawPsyu82PI9+37j89rq6sYkFOvOsG4Di1e6d+9uKoFXz6wwOOOymWVivSlmY0Irc9cXKx4zyON82aKKdTsb0pkjW/qx+JJZfdZBYvaEgRTrNN1///1m21jPlBWTWczI1nEM+FikxIrNDEx40/XWW2+ZCs7ch5wH9zHrYDHoYl0rFi8ykGFxFOfHfcz9zvpGXC6DvmBrRDtYf4hB3fnnn2/mxeV+/PHHpviOrSVZt5XzZs/nPLbs04rFZCzesotVRNiqjdMfc8wxploIi+H43WB9osaeLhSPB7+Lxx9/vNlWBssMLFncyEwhA0ZmCTmcdaLYipCBPouYue+lDbFagYKCAlYSMH9FJPx3kZeXZ/32229WWVmZ1dqMGzfOOv/8861zzz3XSklJsdLT060rr7zS8vv95vPnnnvO6t27txUXF2eNHTvWevPNN802f//99+bzjz/+2LzftGlT2HzLy8uto48+2kpLSzOfP/7442Y4//3aa69VjXfZZZdZnTp1spKTk61JkyZZd999t5Wamlr1+cyZM62hQ4fa2hav12tdfPHFZju43KlTp1qTJ0+2jjjiiLDt5ThBvXr1Msus7ttvv7UOOOAAs15JSUnWkCFDrJtuuqnqcx7rSy65xOrSpYsVGxtr9evXz3rssceqPr/++uut7Oxsy+FwmHX47rvvzPrdc8891oABA6yYmBirc+fO1oQJE6xPP/20arr/+7//M/Pi/t5rr73MPCPt39p88skn1u67726m5z7g/IPTcp0vuugiKyMjw3y+xx57mO0MinQseZw5bPny5VXD5s6da5aRkJBg9vWoUaOsRx55pOrz6sd4e6bjdyH43aEff/zROvDAA63ExESrQ4cOZh8tW7as6vNnn33WGjZsmDkm/C7vvffe1quvvmpr30nj43eutnPj9sQV9W5V1xLaW6s6ke1pVdeasFUdG5gEm8xL42ORHbs6YCVw1beR9qS8iVrVRUFCX0RERKR1UOAkImIDuxGo7cUOFts69mBe2/aHPrhYpK1T5XARaTHVuy+JZnV1glm9iX9bxN7cg90aVMcK3yLthQInEREbtqcpe1vQHoJDETtUVCciIiJikwInEREREZsUOImIiIjYpMBJRERExCYFTiIiIiI2KXASEdnO3s9DH1TLZ8k1ZU/oK1asMM+iq6t7hJZ07bXXmt7g64Pb8/rrrzfK/mAXF3zfkOcERst3qK0sq61S4CQi0oi+++47nH322WgPIgU8l156KebNm9di67T77rtj3bp15nEaTUkBSPulwElEJAKv19ug6Tp37ozExES0ZR6Pp9bP2JN4p06d0FJiY2ORnZ1tgrrant3n9/ubfb3a6/ehLVLgJNLGrDj5ZKyYdHzLv04+2db6FhUV4aSTTkJSUhK6dOmCu+++O+xuvqKiwmQx2AEjxxk9enRYj+NPPPEE0tLS8N5772HQoEHmwn3QQQeZrEP1nq/5OR/2OXDgQDzwwAM1inteeOEFjBs3zozz7LPPYsOGDTjhhBPMshkM7bLLLvjf//5X5/aEFtVx3Tjf6i8WZ9lZL/r222/NA3r5+YgRI8wDe+3ifnK73fjiiy+q5jFmzBj88ssvVePY2UYejwsvvNAck4yMDEyYMMFsJx155JFmm4LvqxfVMQN3wAEHmOmYBeL+XbRoERpqW/ujelFd8Pvx5ptvYqeddkJcXBxWrly5ze8Vffnll2bbuV/S09PNdm/atAmnnnoqPv30U/znP/+pOqb8DhH3bfDxNFlZWTjllFOQn59fNc+SkhJMnjzZfM7v+5133lmv7ed6X3HFFejRo4fZFnbM+uijj1Z9zvUaNWqU+YzznzZtGiorK8PmwcDx8ssvNz2+M8gM/T4S992ZZ55pbgL4ANz99tsPP/74Y9Xn1245xvzuhj5A1+50Tz/9tPm+8Ptw/PHHm3NA6LrddtttZru4DT179sRNN91U9fmqVatw3HHHmWPK9T/iiCOq9n1zUeAk0tZ4K2FVtvyL62HH1KlTzQWKF7YPPvjAPPct9MLKC/b8+fPx/PPP46effsKxxx5rAqM///yzapzS0lLccccd5oT82WefmQsjL4pBDIJmzJhhTsCLFy82z1a75ppr8OSTT4atCy8yF198sRmHF0k+XX348OF4++23zQWRRXC8EPLibcekSZNMABd8MSBhILPHHnvYWq/i4mIceuih5oK/cOFCc+EJ3S677r33XnMxYhDDi9phhx1WlVGzu41cJ2ZzeKweeughMy96/PHHzbYF31fHi+KUKVNM8Pb111+jf//+OPjgg8MulnY1dH/w+3HrrbeaC/2vv/6KzMzMbX6vWGdq//33N8vieFx/7jdmrBgwjR07FmeddVbVsWUgw8CBwQIDuwULFmDu3LlYv369udAHXXbZZSa4eeONN/D++++bYK0+gSSDLn6PeEz5nXn44YdNEEZr1qwx+3bkyJEmYHnwwQdNUHXjjTfWOJYMFr/55hvzvbj++uvNby+I+yI3Nxfvvvuu2c+77bab2RcbN26sGmfp0qV45ZVX8Oqrr1bVL7Mz3bJly0zx7ltvvWVe3Be33HJL1efTp0837/k7+O233/Dcc8+ZAJT4neXvskOHDuY8we9i8EapWbNeVitQUFBgcVX5V0TCfxd5eXnWb7/9ZpWVlZnhy4+bZP111NEt/uJ6bEthYaEVExNjvfTSS1XDNm/ebCUmJloXX3yx9ffff1sul8tas2ZN2HT777+/NX36dPPvxx9/3OyHpUuXVn0+e/ZsKysrq+p93759reeeey5sHjfccIM1duzYwD5bvtzM45577tnmOh9yyCHWv//976r348aNM+sa1KtXL+vuu++uMR3Xr2PHjtZtt91me70efvhhq1OnTlXHlh588EGzrt9///021/Xjjz824950001WZWWlGbZhwwYrISHBeuGFF+q1jbvuumuN8Tjv1157LWzYzJkzraFDh9Y6b5/PZ3Xo0MH6v//7vzrnE4md/RHc5k2bNoV9P3744Yeqaex8r0444QRrjz32qHVdqh/34LE78MADw4atWrXKLH/JkiVWUVGRFRsba7344otVnwePR/V5RcJ5cF4ffPBBxM+vvPJKa8CAAZbf7w/7LSQnJ5v9HlzvPffcM2y6kSNHWldccYX59+eff26lpKRY5eXlYePwu8r9HzzG/N3m5uZaQXan42+bv/ugyy67zBo9erT5N4fHxcVZc+bMsSJ5+umna2xfRUWF2X/vvfdejfH5PQk9NzZWXKFn1YlIi/nrr7/MXSSLFoKYvh8wYID5988//2zu8HfccccaxRWh9WhYlNK3b9+q9yyi4J1vsGiEd7lnnHGGyRAEsfiiegViFv2E4rKZBXrxxRfN3Tzvarns+tZhKigoMJmSQw45xGQc7K4XMwpDhgypKgohZjrqi/MIYvEG9y/nXZ9tZFaqIZhxufrqq01mhceEy2MGiFnB+mro/mCmLHQf2PleMYvCDEp9MMvz8ccfV2WAQvFY8yHJ3L8sFqx+POzgOrlcLlPcWdv+4f4Ird/F7CYzdatXrzbFXhS6L6r/XrgNHL96PTWuO7chqFevXiZ7GWR3OhbRMWMUadlcfx4DZqki4TKY6QqdPpg1DV1GU1PgJCJRiydiXiiY9uffUKEXp5iYmLDPeOEIJDIC86A5c+aEXbCo+jxZfBHq9ttvN8UyrLPEuj/8nPV86lMswAs0i+xY5+ORRx4J2za769WU7G5j9X1jF4vpWI+Ky+DFlvVWeHFvzqKVhISEsGDCzveK09QX58viPBYLVscAgRf97dGQdYok0u8lWGGe28B1rV7fi1ivqLbvg93p6lr2traPy2AAzyLu6kKDuKamwElEWkyfPn3MiZT1Y4J3w8zO/PHHH9h7771NXREGHrwj3WuvvRq0DNaP6Nq1q8lusRJ6fbAOBSufnrylojtP8Fw31nux65JLLjEZDtZ5Cc2U2FkvVhpnvS3eUQenZT2h+uLyWWGZWLmZ28B5b+828tjx+NSF82eFd9a9CVbuDa0sXR+NtT/sfK+YlWG3Ctddd12tWazq2846Paz3w6wK67JVx6wo9xnrFgW/78HjUVsWKRQDWx4f1gsaP358xP3D5fOmIRgocv8zQ9O9e/dtzj+4DTk5OWb9gxX+m3K6UKz/xuCJ+52VzCMtgw04WEeNNyItRZXDRdqaGDcc7pZ/cT22hSd0ZiRYfMUiDlbcZdGV0+k0J34WpTCoYIVYVkJdvny5qbQ8a9YsU5nZLl78OA0r1PIixUCClZrvuuuubZ7IWWn2q6++MsUI55xzjil6sovLYNDAytTcHl5Y+Apmm7a1XieeeKKZjkV5rCj7zjvvmErw9cVK0bwYsfI3W4SxhdvEiRO3ext5geR8uU0MACLh/BnscN4MGHg8G5o5aaz9Yed7xUrKDOjPP/98U3n8999/N5Wtg0Eft53bwxZdHMaA5oILLjAVodlKkdOy+IitPU877TQTZDGbxe83v+8fffRR1fHg990OLpO/l9NPP91UsOZ6M8PDYlbiujIwveiii8z6sgL6zJkzTQMMu8tgQMaMIL8frLzO7eN346qrrjLBf2NPF4rBMFsMssXfU089ZfYfA+Ngq0EeM353Geizcnhw+//5z3+aoshmY7UCqhwuYr9yeGvDCqEnnniiqTSanZ1t3XXXXdaoUaOsadOmmc89Ho81Y8YMq3fv3qZCapcuXawjjzzS+umnn6oq/6ampobNkxWNq5/enn32WWvYsGGmcm56erq19957W6+++mpY5fDqFa5ZcfeII44wlWszMzOtq6++2po8ebIZZqdy+JQpU8x8q79YSdbOetH8+fNNZWt+zvFeeeWVelcO5z7deeedzTy4b3/88cft2sagN9980+rXr5/ldrvNdkeqHL5o0SJrxIgRVnx8vNW/f3/TEKB6BXq7lcPt7I9IlcOrfz/sfK/ok08+sXbffXdTYTktLc2aMGFC1XxZUXvMmDGmYjKXx+8Q/fHHH2Y+HJ+fDRw40PrXv/5VVaGZFcRPPvlk831nAwY2Fqht/0bC3/kll1xi1pf7gPv/scceC1tnVvbmZ/w9sdK31+ut+jzSsnis+V0N/U1edNFFVteuXc2+6dGjh3XSSSdZK1eurLMBQEOm4/cg+N0hVmK/8cYbzTDOo2fPntbNN99c9fm6devM9zMjI8Mclz59+lhnnXVWxPigqSqHO/g/RLnCwkJTWZIp/JZMz4lE4+8iLy/PvEL7U2nNWGmafeuwfxvenUvD8W583333NdkNFn02Z90pkZbGIl1mpSKdG7cnrlAdJxFpUezAkMUKbFnHkxj7lCGm40VEoo3qOIlIi2M9laFDh5p6Esw4sf4C6zJI3c4991xTbybSi5+1NuwWobbtCVZub8v4va9t+yN1cSAtQ0V1Iq1UWy2qE/vYKozfg0h4rmTrI1ZKZlaPLcmivaiOFatDe5kOxQrlLMJty9jnEfvSqg0fQyL2qahORETCMDDiq61gZ5B8tVcMDhUcRT8V1YmIiIjYpMBJRERExCYFTiIiIiI2KXASERERsUmBk4iIiEhTBk6zZ882z8xh8z4+1ZvP+KnL5s2bzTN8+ORkPhmbzwniM4ZERCLZZ5998K9//cv8m+eae+65B61B9XXlc9X4TLHqXQjw2WcLFy40z29jv1V1qaysxN9//40ff/zRTMPn2bEJdVO49tprMWzYMLRGpaWlOProo03Tcu53XneaCvcTH9Ic6fg2t2hYh/am3t0R8MnEfGAgH1rJoIkniQkTJmDJkiURm8V6PB4ccMAB5rOXX37Z9MPBk0BaWlpjbYOItGF8WGpSUlKTLuOJJ54wgVpjX2zXrVuH9PT0qvfso4gPYe3Vq5fZJj5Mlw/3HTx4MGJiYmpMzwfH8nN+1rdvX/OX59TQ/ph4EeeF84cffkBz4sNpub+i5aL95JNPmg4k+WBZdp7KPnqaAoNdPpz5tddew5gxY8KOb1Oq7ThX/45JFAZOfGo3n0zNpz0TAyg+Tfqxxx7DtGnTaozP4TxZ8MscPDHwrkxExI7OnTvX+bnX640YdESD7OzssPcMlLg9wV7Ru3btarJH+fn5JiNfHYezA8uBAwdWPd2eWfvWpLmOz7JlyzBo0CAThDYU9zUzOMF9Xdtygo8E4rjR9h2TKCuq450OU8V8LELVDJxO837+/PkRp3nzzTcxduxYU1TH1Ca/1OxWn19QEWl8r96xEC/fuqDFX1wPO1hUNXnyZPNICQYPfLjvtoq/HnzwQRx++OEma3PTTTeZ4W+88QZ22203U4WgT58+JivAYq4gZkfOOecccx7iODwXvfXWW+ZBuLwRZADDefPFu/ttYZHbYYcdZjotZM/Ezz77bJ3FKH/99Rd22mknfPDBBxg3bpxZh+eee84ULT3++OPmos9hDJIeeOABMw3Xidv4zTff4KCDDjJZlMTERIwYMcIMY6aM28livOC6c1hwe88880xzYWXRJ8/THC/ULbfcYvZHhw4dzAOV2dOyHdw/zPBwnweXy/24YsUK82+WTAS3kftlw4YNOOGEE0yJA9d/l112wf/+97+weXId//nPf+Lyyy83nWByvUOPAx9ywfc9e/Y0wSODTo4fnJbfm88++8wsn++poqICl156qVku9yNLSbieQdxXLP3gdYrHhvNduXJlndvNYx689gUDp9Ci5aCJEyearFzo95jXvtNPP93sb27HI488EjbN6tWrzX7i9nN97Rzn6kV1LMrdb7/9zPeyU6dOOPvss1FcXFz1OdeJ68bHHPH3xnF4fWaAK02QcQre/fCHForv+ZDOSHiy4JO5TzrpJFOvaenSpTj//PPNQZo5c2bEafhl5yuotkcKiEhNfp9lXq3FZZddhk8//dRchFmkf+WVV2LRokV11rXhBYwXfQZUbrfbFNEw+Lr33nux1157mawALxjE8wyLvPiss6KiIjzzzDOm2Ou3334zRV677767mc+MGTNMlQOy81wwXoDWrl2Ljz/+2GRUeBFnMFWbYBB3ww03mMw9H4HCwIJVGLh8Zu85jI9HYVafF87hw4dj06ZNOPnkk9G9e3cTbHA+XC63adKkSfjll18wd+5cfPjhh2b+vCjzPH3MMceYiyeDAhbnfPHFF9h///1N0R8vzC+++KLZj6yzuueee+Lpp582+49B57YwGGGRFc/NDPqI8+R6EUsfGMgEt5EBGbfliiuuMIEiSylOOeUUcxz4cOcgBmOsCsJggTfj3Md77LGHqe7xyiuv4O6778bzzz+PnXfeGTk5OVWB4KuvvmqWyX3Bf8fGxprhF154oTnOnIaBFovXGIAyuOjfv39V3ahbb70V//3vf00QUVdP7NxuBkAMtLlP64v7hMef33Ee9/POO88EmAMGDDDBDf/NII/HjIEjfwe1HedIRZG8CWHVGSYrWMTN7yODZ+6HYKBF/M4yaOJfXpM5f/7e+L2TKHjkCg86v4iMrHmS4o+Hz+K5/fbbaw2cZs2aZaJrEWnbeLF49NFHTTDDi3rw4skgoS4nnnhiVXUB4l08L5xTpkwx73nx5wWK2QueZ3ixYSMWXuzZOCU4ThAvQrxzt1vsweDj3XffNfMcOXKkGcbtYNZoW3jjeNRRR4VdTLmewWHMXvFi//DDD5sXM1QMnhhQMThhwMAiPz4UORjkMXgMrjuDFwZYX3/9Nd5//30T1DG7wXMuL8i8YDOoZLDGLBNfdOONN5r9ZCfrxGUyKOMNbqR9xuxL6DYGg46giy66CO+9954J3kIDpyFDhlRdFxjY3H///Zg3b54JnJgJ4rKYOQtuU3Ba7hdmshgwBdeH4zOo418GTcF1YPDB4cz+EG/imeEL7s9tbXewfm5DisgOPvhgc/yJQSQDQQYvDJyYfeQzJxnwBB87E/r4lerHORLOg8fvqaeeqqoXyH3ILBmDw2DSg3WiOJzXZGY4DznkELOfFTg1QeDEcnnuaP5oQ/F9bQeTUS2/5KGVGXly4Y+fRX/BO4NQ06dPN3cdQbyr6dGjR31WVURaAWaGeB5gEUoQLxq8kNSFRRihmHn48ssvq4rtiFkXXkSYUWCFWgZjwaBpezEA40WMN4JBvADV1eiF4xOLqUIzBGwsc80114QVSzGrxGCO505mBJi5CV5MGbDwYs+b0kh1cXgu5sNi+TrwwAPNsOC4HBaso8NtOPfcc8OmZaaCF/LtVf348FgwUGGgxBtnHnMGXQx2QjFwqn79CGbxjj32WBPsMeBl1ohBCAOC4H6tjlklLrf6MedymVkK4jWo+nKbSuhygoF6cPv4HQ09zg3BY8oAMLQxBTN2PP7MpgYDJ2bsQq/J3M/cX9IEgRO/YDxRMDJlGSnxgPA9U4GR8KAxCg79kfNujQcqUtBELGdubRUgRaT5VG9lx8wVs9TVsxzEoiIGGy0tUpDDokNifRMWsYTihY2BU/XAgMEgh9dWgZnDGSzyHMv6PAwemMFiHR7OszlaNFc/Psx2/ec//zGBDwNHfs6sFAOoUNUrkTO44LWDePPMiz+zYszCMXPD+bKYN1Llc34nuL2slxsaJFQviuV3Y3sreXOfsw5WqEh1huravub8jta1HtIE/TgxEzRnzhyTTmd0yzJa3jUF0+asZ8CMURA/Z6u6iy++2ARMLNvmnQcro4lI+xZsYs86LUEsluK5oj5YKZwXVRZtVH/xosY7fVa8rW2+vImrT4MVZpeYFeJFOYjLt9OdAbeP9UWZ/WH2g63sWETDdeUFnoEe/80iO1Zz4D5iMR2L4Dh/1q0JrYcTad25P5jVZ9DFeTHoCO6PYIs+Zv5D9zuxeM+u+uwzZgPZCo11tZgRYdaovsc4GFwwy8S6WAwKWQ+qtkwJszdcP2Z0qn8nGrslGo9haJ0nLpd1kuqD31FmnXi9bOj+5jFl9jW0bzDue/4GtpXFlSYMnFiJjHdHrEjJymQ80CwzDqYAWZ4c+gXiD5Zl2Sy35ReDFSgZREXqukBEtp/T5Yia17bwzp91bFhBnI1IeLFhheC6moNHwvMR63Uw6/Trr7+amzpWCL766qvN56x0u/fee5sOEpmtWL58uamjxHMXscIvMxTMnjOoYcamLrwIsbiIrfQYfDCAYiVcO1kDXrQZBDELxOVw3W+77TYTDDD4YiDAOjisQM6LJesDsWjp0EMPNXWUmHHixTDYkpnrzu3huZjrzmCM9YBY7MaSAdZz4vLYJcxVV12FBQsWmOl4HmZ3MVwWgxjWLeK+s4vLZUeeXGcut65WWayvxP3OdeCx4X6rXuVjW1i5mfXI+B1hoyPWi+P+Zp9YkbCIjo2SeDPPCuPcR6yTxjq0vIFvTGzFxnnyxYZSTBjUt08wtqbjd4PHjMeX28gK8XUd5+q4vQy8WdeP+4nFrvz+sCJ+9UZdsh2sVqCgoIA5UPNXRMJ/F3l5edZvv/1mlZWVWa1RUVGRdfLJJ1uJiYlWVlaWddttt1njxo2zLr74YvN5r169rLvvvrtqfG7za6+9VmM+c+fOtXbffXcrISHBSklJsUaNGmU98sgjVZ9v2LDBOu2006xOnTpZ8fHx1uDBg6233nqr6vNzzz3XfMb5z5w5c5vrvW7dOuuQQw6x4uLirJ49e1pPPfVUneu6fPly8/7777+vMa9nn33WGjZsmBUbG2ulp6dbe++9t/Xqq69Wfb5ixQrr6KOPNtvF/TRixAjrm2++MZ+Vl5ebz9LS0sz8H3/8cTO8sLDQuuiii6yuXbtabrfb6tGjh3XSSSdZK1eurJrvTTfdZGVkZFjJycnWlClTrMsvv9waOnSoZUdubq51wAEHmGm53I8//rjWbeS+P+KII8y4mZmZ1tVXX21NnjzZDAsKPeZB/JzrRdyPo0ePNvsgKSnJGjNmjPXhhx9WjctpOY9QHo/HmjFjhtW7d28rJibG6tKli3XkkUdaP/30k/mc+yo1NdWqD65H9Usnl3PeeedZHTt2NNs3a9assHWn6t8N4r4O/a415DhX/z1w2/bdd1/zHef6nHXWWeY3FsR1Ct3vte27tqCsrKzWc+P2xBUO/g9RjpXDWVGSfZqwKauIbP1dsJiHLxbt8G5TJBSLd1jUx6Kr6nV9RNqy8vJyk6WLdG7cnrhCD/kVERERsUmBk4hINexQk/Wvanu1B3VtP/dPW9Vet1uiqANMEZHWhv0QNfdDc6NNXdvP3q3bqva63WKfAicRkWrYWiu01+b2qL1uf3vdbrFPRXUiIiIiNilwEmkjWkEDWRGRVn9OVOAk0soFm5hvq9NGEZH2xLPlkT6N3Q2H6jiJtHLB548FHxbKB6du77O3pO0IPqaDfdqoHydpL/x+v+nfjufD2h4E3VAKnETagOCzt4LBk0joBYSP6FixYkW9H2Uj0po5nU707Nmz0W8kFTiJtAE8MXTp0sU8/LWuZ4ZJ+8Nn8B1yyCHmGXXtpQ8qEeKzHpviZkGBk0gbwqIYFcdI9Xoef//9t7mI6JE8IttPeVsRERERmxQ4iYiIiNikwElERETEJgVOIiIiIjYpcBIRERGxSYGTiIiIiE0KnERERERsUuAkIiIiYpMCJxERERGbFDiJiIiI2KTASURERMQmBU4iIiIiNilwEhEREbFJgZOIiIiITQqcRERERGxS4CQiIiJikwInEREREZsUOImIiIjYpMBJRERExCYFTiIiIiI2KXASERERsUmBk4iIiIhNCpxEREREmjJwmj17Nnr37o34+HiMHj0a3377ra3pnn/+eTgcDkycOLEhixURafV0/hRpZ4HTCy+8gKlTp2LmzJlYtGgRhg4digkTJiA3N7fO6VasWIFLL70Ue+211/asr4hIq6Xzp0g7DJzuuusunHXWWTjttNOw00474aGHHkJiYiIee+yxWqfx+Xw46aSTcN1116FPnz7bu84iIq2Szp8i7Sxw8ng8WLhwIcaPH791Bk6neT9//vxap7v++uuRmZmJM844w9ZyKioqUFhYGPYSEWnNdP4UaYeBU35+vrn7ycrKChvO9zk5ORGn+eKLL/Doo49izpw5tpcza9YspKamVr169OhRn9UUEYk6On+KtA1N2qquqKgIp5xyivnRZ2Rk2J5u+vTpKCgoqHqtWrWqKVdTRCTq6PwpEp3c9RmZP16Xy4X169eHDef77OzsGuMvW7bMVGo87LDDqob5/f7Agt1uLFmyBH379q0xXVxcnHmJiLQVOn+KtMOMU2xsLIYPH4558+aF/ZD5fuzYsTXGHzhwIH7++Wf88MMPVa/DDz8c++67r/m3Usgi0l7o/CnSDjNOxKa0U6ZMwYgRIzBq1Cjcc889KCkpMa1EaPLkyejWrZspZ2c/JYMHDw6bPi0tzfytPlxEpK3T+VOkHQZOkyZNQl5eHmbMmGEqNA4bNgxz586tqvC4cuVK01JERETC6fwp0vo5LMuyEOXYnJatQ1jRMSUlpaVXRyQq6Hchduh7ItK4vwvd2oiIiIjYpMBJRERExCYFTiIiIiI2KXASERERsUmBk4iIiIhNCpxEREREbFLgJCIiImKTAicRERERmxQ4iYiIiNikwElERETEJgVOIiIiIjYpcBIRERGxSYGTiIiIiE0KnERERERsUuAkIiIiYpMCJxERERGbFDiJiIiI2KTASURERMQmBU4iIiIiNilwEhEREbFJgZOIiIiITQqcRERERGxS4CQiIiJikwInEREREZsUOImIiIjYpMBJRERExCYFTiIiIiI2KXASERERsUmBk4iIiIhNCpxEREREbFLgJCIiImKTAicRERERmxQ4iYiIiNikwElERESkKQOn2bNno3fv3oiPj8fo0aPx7bff1jrunDlzsNdeeyE9Pd28xo8fX+f4IiJtmc6fIu0scHrhhRcwdepUzJw5E4sWLcLQoUMxYcIE5ObmRhz/k08+wQknnICPP/4Y8+fPR48ePXDggQdizZo1jbH+IiKths6fIq2fw7Isqz4T8A5p5MiRuP/++817v99vfswXXXQRpk2bts3pfT6fuXPi9JMnT7a1zMLCQqSmpqKgoAApKSn1WV2RNku/i9ZH50+R6LA9v4t6ZZw8Hg8WLlxo0sVVM3A6zXveDdlRWloKr9eLjh071jpORUWF2ajQl4hIa6bzp0jbUK/AKT8/39zxZGVlhQ3n+5ycHFvzuOKKK9C1a9ewk0d1s2bNMpFg8MU7MhGR1kznT5G2oVlb1d1yyy14/vnn8dprr5mKkbWZPn26SZ8FX6tWrWrO1RQRiTo6f4pEB3d9Rs7IyIDL5cL69evDhvN9dnZ2ndPecccd5of/4YcfYsiQIXWOGxcXZ14iIm2Fzp8i7TDjFBsbi+HDh2PevHlVw1i5ke/Hjh1b63S33XYbbrjhBsydOxcjRozYvjUWEWmFdP4UaYcZJ2JT2ilTppgf8KhRo3DPPfegpKQEp512mvmcLT26detmytnp1ltvxYwZM/Dcc8+ZvkuCZfnJycnmJSLSXuj8KdIOA6dJkyYhLy/P/Jj5Ix42bJi5EwpWeFy5cqVpKRL04IMPmtYkxxxzTNh82I/Jtdde2xjbICLSKuj8KdIO+3FqCeqHRKQm/S7EDn1PRFqwHycRERGR9kyBk4iIiIhNCpxEREREbFLgJCIiImKTAicRERERmxQ4iYiIiNikwElERETEJgVOIiIiIjYpcBIRERGxSYGTiIiIiE0KnERERERsUuAkIiIiYpMCJxERERGbFDiJiIiI2KTASURERMQmBU4iIiIiNilwEhEREbFJgVMLsfwWfJX+ll4NERERqQd3fUaW+mFgtH55ATauLUHRxgqUl3oBCygv9qJ4UzksC3C5nXC6HHC5HfD7LCSnxyMlIx4pnROQ0on/TkRSaiwcTkdLb46IiEi7p8CpkWxcV4KcvwpQXuKFz+tH4YZybM4pga/S2mZw5asEvBVb58NXdfFJbnTumYJ+wzOR0SMZDocCKRERkeamwKmBxWxFm8qxcU0gyFm/ohBFG8qbdJnlJZVYtXijecUmuLDjyGx06ZeKtMxEZaNERESaiQKnWnjKKlGQV2aK1Jg1KsgrRUFuGTavL0Wlt2XrJnnKfPjlszXmlZAcg34jMtFrcAYSU2JbdL1ERETaunYTOFmWZYKhirJK876syIvSggqUFnrMqzCvDD6fhfJij8nutBZlxV78/Mka80rLTEBm7xRk9uqA7D6pcLpU919ERKQxtYnAqdLrw5Kvc0wdIwZErDdU6fEhNiHGfF5W5EF7sJkZsdwy/PHterhjnOjULRndB6Wj1+BOcMe4Wnr1REREWr1WHzh5PT68dseiiJ9Fe8AUE+cyAR5b1zU2Fiey7hVfC9/9Gz136oiO3ZKQ1TvVtNpT5XIREZF2FDhtWFOMpYty8ffPGxDtOnVLQveBHdGxaxIqPX6TDUrtnIDYBDd8Pj/Ki7xwxTjBWIb1qgrzy1GYX4ZNOSUo2VyBitLK7Q6uVv620byAVejQMR7dB6ajU/dkZHRLNushIiIi29Zqr5ibc0ujLmhiQMKAiN0FMBiJjXcjNTMBSalxtU7jcjmRlLb188xeMcjslRI2TlmxB4u/WoelC3IbZT2LNpab+RGDtQ6dEky9qJSMBLP+XGeuu4iIiIRrtVfHbjumY9Hcv5ukmMsOd6wTnbommyxSxy5JSMtOrDNA2h4JybHY7cBe2HV8T1P0xi4QVv++ybTw217cf8xu8RXEYCo1M9FkyhgMJneMN90eJHSIURGfiIi0a602cIpPCmRmGEg0RxYpoUOsCRz4vkOnePO3uftP4vLYWo6vQbt3wYY1DKA2mkrxLN5rLAymGJRVD8ziEt1Iz04yxYrs6ZwZqrSsRAVVIiLSbrTawInYYqw+gROzRAy4WMcoNjHGPMqEfR/x5XQ7ERPrRMcuyYiJd8HpdER1x5IMUjJYR6l7snlfUlCBtX9uNvsjf1WR6eupsbGuFYO02iq6M7hM5D7tEIv45BgTaJn9Hesy+5z7n+NwmIiISGvUqgOn2orrdhiagewdUk0AxGwRAyBvhQ/JaXFRHQxtDxYT9h+RZV7s2Xzdss3447tc5DZxRi6I+9dbEV7kVxtmq/iMvph4t8nexSW4TVDFelXMZvE9gytXrNN0o8DxgxiExca7zLQMbkVERJpTqw6cgsV1eauKTPEVW4p17Z8WsWJze8pyMDjs2p/7It10d8AsFHs9Z6s6O4FNU2NP7L5KHzzlPtNqsKGCwRb/8uHJMQzA3E4TfPHBydwPLD1kYM2MF7NiDLz4mXltySqaAMwReOCyu2papxkenE/Yv0Om5fyZ/TPL3PKgZj6r0Dy42eWExf8sM3sz//oG7uy4ldtGbTXoFxFpTVp14ES7HdTLFAmpFVhkDBSYmeNr0B5dzDP12JVD/upi5P5dtF2BS0tj1w6Vnujuq6u6YNBGzAyauIiBUUjaNFKDhx47dcTYiX2bc1VFRCSCVh9tsJK22MPMCCt087XD0M4mm2Gev5dbanpcZzaKAVVrDqaiHTNSfNVbC7UeFRGRRgicZs+ejdtvvx05OTkYOnQo7rvvPowaNarW8V966SVcc801WLFiBfr3749bb70VBx98cEMWLY0cSJlWcVmJNXpc37S+FCWbKlC4IfAYl4IoeLhx+6bIqa2IlvNn/to1KNiwAZY/kLX1+Xzw+yrh9/tgwQ+r0g+/5UGltwI+nwc+bzlKNueioqQA8R3SkBiXirjULMQkpLAcGX5fGTyVpWCzFM4nJTkT8THx5pvL7CpTqX7Lb/5aPl/gLz8NFkdveW++6ZaFiooC+CsrEBOTCKcjcKkqLsjHptV/wFNRgsROXZDeYwCSklMBvwUnXFwQLL8fPk8Jikty4PQDTmccfN4SVHiKEZucjsSULLjjU+Byx8Oy/KisLIe/shyVPg+Kc5Zi07o/kdVzKFzJ6exoDw63G2CxvBXIFJvGw6E/R5/fvBx8NqiLHRlzX3A7YfZhyeYclBfmwQE3nLFuxCV2RGrH7rCcrK5QhIrNudi0dgkSUjLMvvRyD7rcSEzqhPjEdFRWelBSkg9vRQk85YVIjO+I9C4DkNwhA8XFOVi/6ges++ELuJ3xSOneDx069UBaVh/ExCWhvKQQPk8BvC4/Krxl2Jy3ErF+N9IyeyAtY0e4Y+O3bJDf7GvL44XFOsG+MjO4rGgzNuUthd9vIb1zT6R07AmHIwa+yjIUl2wy1RHczgQUl+TDj0r4LS9SU3rBFROH2LhkOJ1uWD4PPEX5KMxdCcTFw1uQi/LctUCHFCR27IIOHbshIbmjqc9Q6SuDyxlrqkq4Y5IC3xlvBfyWD5bfa/Yp/+2vrDSHoLxiE8orCuF0uJCSmIWkxE4oK9uM4tJcFJXkY33BMqwpXYt/7DYNI/bbH43FYZlKFPa98MILmDx5Mh566CGMHj0a99xzj/lhL1myBJmZmTXG/+qrr7D33ntj1qxZOPTQQ/Hcc8+ZH/6iRYswePBgW8ssLCxEamoqCgoKkJIS3jmkNA+eCIo2Bh6KzB8UW/EFuyxgVwisHC5Nh/X3dj+qX9gw/S5an2g6fz5+/jT4SgY26vaJRCM3ynHqk+c22vmz3oETf+wjR47E/fffb977/X706NEDF110EaZNm1Zj/EmTJqGkpARvvfVW1bAxY8Zg2LBh5uRhhy4Q0Y+BE4MqvspLvCgv9pq/nrJKU1ma2Sq+L95Ubt63VMelrVX3AenY/WgFTq1dNJ0/H79gOnzFAxplu0SimQvFOO3JCxvt/FmvojqPx4OFCxdi+vTpVcOcTifGjx+P+fPnR5yGw6dOnRo2bMKECXj99ddrXU5FRYV5BXHDghsq0csRByR1diCpcywAvmrnq/SjeHM5Koor4fVUwlvhR2WFD5WVflNUaIItj9/85fP8iLEWx/GW++CpqDSftxclpe4a3//g+3re+0gLibbzZxmL4Dwt38pWpKk5rdJGPX/WK3DKz8835eBZWVlhw/n+999/jzgNy/Ejjc/htWFa+rrrrqsxnHdmIhKuqKjI3DlJdNP5U6TlXPjCFY12/ozKVnW8Iwu9y2I6e+PGjejUqVOtj/Vg9MgTw6pVq1Rs0YS0n6NnP/NOiT/6rl27Nvv6SfTS+TN6aT+3jfNnvQKnjIwMuFwurF+/Pmw432dnZ0echsPrMz7FxcWZV6i0tDRb68idpC9k09N+jo79rExT66HzpwRpP7fu86ezPiPHxsZi+PDhmDdvXtjdDN+PHTs24jQcHjo+ffDBB7WOLyLSFun8KdI21LuojingKVOmYMSIEabvETanZauP0047zXzOprbdunUz5ex08cUXY9y4cbjzzjtxyCGH4Pnnn8eCBQvwyCOPNP7WiIhEMZ0/Rdph4MTmsXl5eZgxY4apoMhmsXPnzq2qwLhy5UrTUiRo9913N32PXH311bjyyitNB25sEWK3DxK7mJqeOXNmjRS1NC7t5+ah/dw26fzZvmk/t439XO9+nERERETaq3rVcRIRERFpzxQ4iYiIiNikwElERETEJgVOIiIiIjYpcBIRERGxSYGTiIiIiE0KnERERERsUuAkIiIiYpMCJxERERGbFDiJiIiI2KTASURERMQmBU4iIiIiNilwEhEREbFJgZOIiIiITQqcRERERGxS4CQiIiJikwInEREREZsUOLUR+fn5ePTRR3H22Wdj2LBhcLvdcDgceOKJJ9AWrF+/3mzfkUceie7duyM2NhZpaWkYN24cnnzySViW1dKrKCKt1MKFC3Httddi9913N+cVnl969OiBk08+GT/99BNaO50/G5fD0h5rE15//XXzo6ju8ccfx6mnnorWjiewZ5991gSEI0aMQK9evbBmzRp89dVX8Pv9OOaYY/D888/D5XK19KqKSCtSWVmJmJgY8++OHTti9OjRSEpKwvfff49ly5aZIIPnHp5jWiudPxuXMk5tRFZWFs4//3w89thj+Pnnn3HWWWehLenUqRNuuukmrF27FvPnzzc/8s8//xxff/01UlJS8PLLL5s7KhGR+ho5cqS5+czNzcU777yDl156CX/88QeuuuoqeDwenH766Sar31rp/Nm4lHFqo84991w8/PDDbSbjVJdZs2bhyiuvxD777IOPP/64pVdHRNoIXh4HDRqEJUuWmGoPU6ZMQVuj82f9KeMUhSZNmmTqJ11++eU1PuNdUHJysnn9+eefaGlMZ3u93npNwzs6bl/fvn1RVFRU40Q1YcIE8zl/0HYMHTrU/OXdlIi0b415/uR8hgwZ0mTnF50/WylmnCS6bNy40erevbvldDqtjz76qGq4x+OxRowYwQyhNWfOnDrncc4555jxHn/88SZbz++++85KTEy0jjzySMvr9dZr2gsuuMCs36mnnho2/O677zbD9957b8vn89ma13333Vc1jYi0b41x/gw1fPhwM81jjz3WqOup82frpcApSvEHzx8+TwA8EdCVV15pvuATJ07c5vTNETiVlZVZBx54oFnOMcccU68ff2lpqTVo0CAz7UsvvWSG/fTTT1ZcXJyVmppqrVixwtZ8eDIMzufOO+9s8LaISNuxvefPoM8//9xMExsba61du7ZR11Hnz9ZLgVMUu+yyy8wX+rjjjrM+++wzcyLo0qWLlZeXFxWBU/DHf8ABB5hlTZo0yaqsrLQ97aJFi8wJqWPHjtbSpUutXXbZxcznmWeesT2PK664wkyzww47WCUlJQ3cChFpa7bn/EkFBQVW//79zTx4nmkKOn+2TgqcolhFRYU1bNgw88VOSUmxHA6HNXfuXFvTbk/gxDuPAQMG2H717t3bLIuvCy+8sF7Luu2226q2j39POOEE29P+73//M/skPj7emj9/fr23U0Taru05fzKAOfTQQ820o0aNMvOyS+fPtk+BU5T78ccfq35U5513nu3ptidwCt6FNOR1/PHH12tZLIcP1iHg3eCmTZtsTTdv3jyTlna5XNZrr71W720UkbavoefPs846y0zDwMZuhipI58+2T63qotwLL7xQ9e8ffvgBPp+vyZd5yy23mNYZdl7sPC3YZ9TYsWPxyCOP1GtZv/32G3755Rfz7w0bNmDFihXbnOa7777DEUccYfpXmTNnDiZOnNjALRWRtqwh589p06aZ8wp7Dv/ggw+QkZFRr2Xq/NkOtHTkJnVXTOQdQXZ2tjV+/HhzV3HdddfZmrY56jj5/f6q5YwePdrUCaiP8vJya8iQIWb6k08+2fzdaaedTLl/bX799VerU6dOZly2IBERaazz56233mrGy8zMtH7//fcmXT+dP1svBU5Rij+iYNn3u+++a+Xk5FidO3e23G639fXXX0dF4PTFF1+YMnI28d28eXO9p7/kkkvC0tOTJ0+us5x/+fLlVrdu3cw411577Xavv4i0TQ05fz7yyCNm/LS0NOv7779v8nXU+bP1UuAUpU455ZQaP4I33njDDOvXr59VXFwcFa3qXn311armvvXx4YcfmpNGjx49qsrlq5/sQq1fv76qhcu///3vRlt/EWl76nv+ZJN+trpLTk62vvrqq2ZbT50/Wyc9ciUK8TlJxx13HHbaaScsWLAACQkJVZ+dffbZplz6jDPOwH//+9+w6caMGVP17+XLl5vnLvXp0wedO3c2w3bbbTc88MADaGmbNm3CLrvsgnXr1mHevHmmq/+gL774wjyxOzMz0zxzL1i/gA8w5rOkEhMTceyxx0acL8e94447mm07RKT1nz95nmR9Jtb54XmJ58lIWBcoGuoD6fwZBVo6cpNwq1evttLT003/HJHSxbxTCt458G4l1LZabIwbN86KBuxXhevDflYimT59uvn8iCOOqBrGdd/W9vXq1asZt0JE2sL5k0VYdlq8zZw504oGOn+2PGWcRERERGxSdwQiIiIiNilwEhEREbFJgZOIiIiITQqcRERERGxS4CQiIiJikwInEREREZvcaAX4IMS1a9eiQ4cOcDgcLb06IlGBPYkUFRWha9eucDp1DySR6fwp0rjnz1YROPFHz55dRaSmVatWoXv37i29GhKldP4UadzzZ6sInHinFNzAlJSUll4dkahQWFhoLojB34dIJDp/ijTu+bNVBE7B9DJ/9Prhi4RT8YvURedPkcY9f6pihIiIiIhNCpxEREREbFLgJCIiImKTAicRERGRpgqcPvvsMxx22GGm7wNWqnr99de3Oc0nn3yC3XbbDXFxcejXrx+eeOKJ+i5WRKTV0/lTpPWrd6u6kpISDB06FKeffjqOOuqobY6/fPlyHHLIITj33HPx7LPPYt68eTjzzDPRpUsXTJgwoaHrLSLS6kTT+fPDe6+A9fY8wAFYHGBaF/n5j8Awvne6Aq2OnE444EAFvKh0WIiBC64KLxwuF+C34LA4iQMcy8wKgM/vg8U5b2m1ZPFP6L+3MMvh36rbeIf5nMt1OJxmHly/wDAn/EnxqIx3I76gAs6SMjj8FiynA36HZebFf/Ov2x1j1tvnsMA18cMPd3klYiotMw38frM+geUEpoHHA6/bAcvlQowrBk6fBSfHtcweClnn4D+43g743E44rMB8A+vDj7gugC/GBbhd8G/Zz5bXC5fXhxgfr8Bu+OBHZazLrIsrJhZujujzwe/1mr9mt7ncZh6VzsC6uIrKzF8uGz4/nE4XvA4/KmMciIlLhLO03KyHL9YFh6cSLlcM/Dwe3MdcT3b46PObY8dZct25DX6X02xvsKWZWRXLh9hyH/yxbnOMsWVfeJ1+uC2nmRfXzwUnvN7ywPpZDtPBZPDLwH0Q43Cb9a3kvvF6EVPqQXmSG7GWK7AunA5bp7O2HB+zjTxGW76Xfu5Zfg/gh9PhBBxOeC2vGc73/Iz7g9sQ705AclwHJGd2Q79b7oTb2TgdCdR7Lv/4xz/My66HHnoIO+ywA+68807zftCgQfjiiy9w9913K3ASkXYlqs6flZVwVlbyCgX4eRUPDw4iSTD/5wUscMGCozLwtxqrKeuBbC61OWK5+X+MzbGDsVCcz9oSQHrNe8vGdNUvpA7bF1kPXABiI3zisjkswB/4jJtcVLh12eWBbQAq65g2wOnld6B2rrLgvEK3KzhNRZ372lVRacZxVNvWxCLOM3y+2+ocINJ21LaPfShGAfKwpmAl/lz+Lg7rexhaRR2n+fPnY/z48WHD+IPncBERaYHzZ/6fsFZ8Afg8gL/SVtC0FbMePsDPjIgHqCwPvDgfvnzeLYGYSHTgt3vH9B0bbX5N3gFmTk4OsrKywobxPXvtLCsrQ0JC4B4mVEVFhXkFcVwRkfamyc6fKd1gMcBpTCYA28IEVpWAKyZiRkqkObE4sU9qn0abX1R+o2fNmoXU1NSql56zJCLSiOfP2EQgLrWJ18QKZKSq1Q+SNs6qXies2nsr0nvWcfKHD2PWsiqLycxmxZbvU8h4ZtwtRc3B8SJkPJNikkydtVYTOGVnZ2P9+vVhw/ieXf9Hului6dOno6CgoOrFZyyJiLQ3TXn+tBI7oln4KgIXMgVQ0acqQKl2fMy/rZDAZEtQwgrboeMwSAkW1QZfPN58VQ2r9t4X6b0nvNjXfGe8WwMnEyxtCbBCxzPjeraOawKwLcXI5rNAVjUpJhmNqcmL6saOHYt33nknbNgHH3xghteGzW75EhFpz5ry/OlI6gQ/63cHr5emZdz2qbr0hs6I8+WFbOuSTWs9OAItyVoS19fOGgRaHW5942h1wRGDitAsDLfAqvd+gMUgpSlWMsKi7K5TnTPxAZU+JDOA8pYBMZFvNpo8cCouLsbSpUvDmsv+8MMP6NixI3r27GnudtasWYOnnnrKfM5mtPfffz8uv/xy0wT3o48+wosvvoi33367UTZARKS1iKbz54HTHgZ6nwQUrqkaxob/fjZz39KujNfcSgvwWha8FlBS6UdZpR8dYpyItRxIjnUijsEX22052F1BYFpeopPhQEy1S19VE3X+SUgDJswCOvU3w02Ow2QMAkU55ZXl8Po8iHXGgI3dOauS0kLkrf4DFZ5SdOjcDRnZOyAuIdk0Z2dTdv61/D5UVJajoGyzaWrvBpvYA5vKNiChQ0ekp2UjJiYebpcbfstvuk3w+DxmWWVFm5C3eQ06J2UhLrGD6S7AwdeWLgsi8vlgeSvhdLsD3TawTpcJVvywfJUoLtqIkoJ801zfFZeAhMQOSE3KgC/GgbLyYnhKirBp4xrTpD8+Lgk+J+B0xyA5IRVJCSmmO4DizatRtvJblFV6kdptBDp32wlx8cko85Rgff7fWPzTx0j2ViIVxUjf8Cs6efIR6yuHx2ehxHQ14DBHpsxrwev1IzXWiQy3C2429d9y3E0yhwfdGWgjx+IoHuuNPr95nx3jQqor0CUAvwtlfgtx3C8WUGT5TTcD7L6gs8NpAgu36UKAPR5YKPVa2Ojxwe12mGVsLOX+cpr1SIlxIskV6ILCs6XVnNPhMK3v+L0wvUHw+7Xlq8N5l7FLhS1t+fidY/cH8QA6WA6UwI8yC9josPCXw4c/HZU43VcAvHcVcOhdaAwOq+qbbA87Y9t3331rDJ8yZYrpmO3UU0/FihUrzHih01xyySX47bff0L17d1xzzTVmPLtYuZFl9Uw76+neIgH6XbQ+UXf+nP8AkL8E6DEG6D4CSOsFuGMBXyVQnAOs/w3YuAzYsBQoygEKVqNRZQ0Gjri/xTNPUe2vT4CPbgoUSYWK6wAkZwFDjweWzgNWqqV6ncZdAQw8uFHOn/UOnFqCLhAiNel3Idv9PeHpv6FBC+u7/DEX+PTW7VvBnQ4HsocGAoHuI03Wpl3i/vz9LWDdj0BsEtB3v8A+efn0ll6z1i82CTj5lbCiuu05fzZ5HScREYlS25PpYYDDO/ieY4A/3gOWfQTk/1H/+fz2ZuBFnfoBB94IpHRBu1K6EXj6yPBhv73RUmvT9vQb32j1m0iBk4iINBxb5w07IfCiJXOBT2Y1bF4sEvzf8cDJrwJJndBmrPoO+OCaQAXlPuOA3nsD/fYPBK6eUmWVmtqgwxt1dgqcRESk8Qw4KBAUzJ0GrF7QsHk8cxRw+H1AlyFo1VgU+tntwO8hlfn/+jTw+ugGYPS5QPF6oGwTWrWYRGDXk4BeuwMVRcCvrwG5i4HsIUBlGbD887qnP+QuIDkTcMcH6tgxmGRLTL6PTQ783fgXsOIzYMWXgQCbkjKAPvsCw04MBPDEunjMYP75PlCSB3QeCGT0a9TNVR0nkVZKvwtpFd+TwrVA6QbggxmBIqn6GHc5MPAQtFo/PAd88zCiWnxqIOBZ8m7NekGseJ4xIBCg/P1lIJtYtgnwlgI7HgTsPDEQmGyryLfSA6z/OfC3Yx+gQ1YgwGJQ1FQNA9g31apvAGcM0GNkjY9VOVykHdLvQlrV94QXzbenAjk/b1drqKjFlohs2caLNTMkDAh+ehFRYc9LAkEOL/d/fgAsmxfoJSmjP7DLsUB8+zt/FKpyuIiIRDUWwRx8O/DYQfWbjq32WAG9uXo6bwgWI710WvMsq1NfYMOy2j9nFwW7HAP03b9mPTEGczseGHhJgylwEhGR5sGWTcwg1bcLA7Y4O/PDwEODowmLHv93QuDxHs3hqEeAzgPCh5VtBopzA/smvbf6xGoG7bTDDBERaRED/gH0GFX/6f47HijZgKiR/2cgoGuOoInB0lkf1wyasKUH9s47Ah13UNDUTJRxEhGR5sOL+0G3AL+8CqxZWL8er9nabsLNQO890KL47LNXzmy6+ffaAxhzXuAZc8oiRR0FTiIi0rz4kN8hxwZewV6zXz1razPzurx3JXDC8y3XSSbXldmvptJ1V+CA66KvWFKqqKhORERaFnshP+w/kYuiIvnhGbQI9k80p+azBm1jMHTEbGDM+cCQ4wKPm+FDgWmHvYFTXgMOu0dBU5RTxklERFpeXHKg8vMntwJL3ql73MVvAXv+u/mea8dm/Mx0/f3V9s1n11OA7MGBV9Be/97u1ZPmpYyTiIhED3Z6aafy+Icz0WzYeef2BE3MKu12CrDb5MZcK2khyjiJiEj0VR6fs1/d4y3/DPj6IWDXkwFXbKCfqMa24gvgvavqN81+1wB99wtkw1iJvLwg0EN2THzjr5+0CAVOIiISfZXHJ9y07aDlx/8FXjToMGDsBYG+orZXRTHwRAMe9XL8c0Bqt63vWVeJjyuRNkWBk4iIRJ/eewIHXB8oJrNj8f8Fnol30Kz6tZDjg2N/fwdY+z2QtXOgK4DFb9R/fY98ODxokjZLgZOIiESnPuMCmSQGRXawHtKmv4H0XvaCpo9uAJZ9tHUYgye+6iMhHTj51earqC4tTkdaRESi155T6zf++l+23UKOr7+/CA+aGmLo8Qqa2iFlnEREJHoxKDn2cfsP0f3zfWDAwTV72y5YA3x+J5D/B+COB0rytm+99pkODKjnA4ulTVCYLCIi0a1jHyDFZv2htT8An8wCKj3hD+N99ezAI14qirY/aBp8lIKmdkyBk4iIRL9jHrU/7h/vAS+fFqjHRKwj5SlunPUYegKwx8WNMy9plRQ4iYhI9GM3A/tMsz9+werA41HYF9O2eiK3i49DGXNu48xLWi3VcRIRkdZhwD+Ask3Ad/8F/D5709S3A8vasJNNPoBX2j1lnEREpPUYdmLgYbis99Sc2DWCiAInERFpdeJTgUPubN5lsj8pEQVOIiLSKiV2DPTy3VjYfUFtwdjYC4HsIY23LGnVVMdJRERapyHHAX9/2TjzOvUdIDYROOfTwMN52d9TST6QvUsgSBPZQhknERFpnboOA0afs33z4CNTDvtPIGgKfTgvn1vHek0KmqQaZZxERKR1VxbP2BH4dg6Q97v96RxO4OA7gM4DgLjkplxDaWMUOImISOvWfUTg5asEXj0L2PjXtqcZcz7QfXhzrJ20MSqqExGRtsHlBg6+HcgctO1xmWkSaQAFTiIi0nYkZQBHPAAcelfdnVmyeE+kARQ4iYhI2+J0At2GA/tMj/z5wIOBmPjmXitpIxQ4iYhI29T/QGDXk8OHse+nUdvZEk/atQYFTrNnz0bv3r0RHx+P0aNH49tvv61z/HvuuQcDBgxAQkICevTogUsuuQTl5eUNXWcRkVZL589mzjyNOivwiJZ/3Aoc/yww4abwrgdEmjpweuGFFzB16lTMnDkTixYtwtChQzFhwgTk5uZGHP+5557DtGnTzPiLFy/Go48+auZx5ZVX1nfRIiKtms6fLYR9MfUcA6R2D/QQLtKcgdNdd92Fs846C6eddhp22mknPPTQQ0hMTMRjjz0WcfyvvvoKe+yxB0488URzl3XggQfihBNO2OZdlohIW6Pzp0g7C5w8Hg8WLlyI8ePHb52B02nez58/P+I0u+++u5km+EP/66+/8M477+Dggw/e3nUXEWk1dP4UaYcdYObn58Pn8yErKytsON///nvkHlt5p8Tp9txzT1iWhcrKSpx77rl1pporKirMK6iwsLA+qykiEnV0/hRpG5q8Vd0nn3yCm2++GQ888IAp03/11Vfx9ttv44Ybbqh1mlmzZiE1NbXqxQqRIiLtjc6fItHHYfE2ph6pZpbHv/zyy5g4cWLV8ClTpmDz5s144403akyz1157YcyYMbj99turhj3zzDM4++yzUVxcbFLVdu6Y+OMvKChASkpKfbdRpE3i74IXRv0uWgedP0XaxvmzXhmn2NhYDB8+HPPmzasa5vf7zfuxY8dGnKa0tLTGj9vlcpm/tcVscXFxZkNCXyIirZnOnyLt9CG/bErLO6QRI0Zg1KhRpo+RkpIS00qEJk+ejG7dupl0MR122GGmJcmuu+5q+ixZunQprrnmGjM8eAIQEWkPdP4UaYeB06RJk5CXl4cZM2YgJycHw4YNw9y5c6sqPK5cuTLsDunqq6+Gw+Ewf9esWYPOnTubH/1NN93UuFsiIhLldP4UaWd1nFqK6nKI1KTfhdih74lIC9ZxEhEREWnPFDiJiIiI2KTASURERMQmBU4iIiIiNilwEhEREbFJgZOIiIiITQqcRERERGxS4CQiIiJikwInEREREZsUOImIiIjYpMBJRERExCYFTiIiIiI2KXASERERsUmBk4iIiIhNCpxEREREbFLgJCIiImKTAicRERERmxQ4iYiIiNikwElERETEJgVOIiIiIjYpcBIRERGxSYGTiIiIiE0KnERERERsUuAkIiIiYpMCJxERERGbFDiJiIiI2KTASURERMQmBU4iIiIiNilwEhEREbFJgZOIiIiITQqcRERERGxS4CQiIiJikwInEREREZsUOImIiIg0ZeA0e/Zs9O7dG/Hx8Rg9ejS+/fbbOsffvHkzLrjgAnTp0gVxcXHYcccd8c477zRk0SIirZrOnyKtm7u+E7zwwguYOnUqHnroIfOjv+eeezBhwgQsWbIEmZmZNcb3eDw44IADzGcvv/wyunXrhr///htpaWmNtQ0iIq2Czp8irZ/DsiyrPhPwxz5y5Ejcf//95r3f70ePHj1w0UUXYdq0aTXG5wni9ttvx++//46YmJgGrWRhYSFSU1NRUFCAlJSUBs1DpK3R76L10flTJDpsz++iXkV1vPtZuHAhxo8fv3UGTqd5P3/+/IjTvPnmmxg7dqxJNWdlZWHw4MG4+eab4fP56rWiIiKtmc6fIu2wqC4/P9/8YPkDDsX3vCOK5K+//sJHH32Ek046yZTLL126FOeffz68Xi9mzpwZcZqKigrzCo0MRURaM50/RdqGJm9Vx1Q0y+cfeeQRDB8+HJMmTcJVV11lUtC1mTVrlkmhBV9MZYuItDc6f4q08sApIyMDLpcL69evDxvO99nZ2RGnYUsQtgLhdEGDBg1CTk6OSV1HMn36dFPuGHytWrWqPqspIhJ1dP4UaYeBU2xsrLnrmTdvXtgdEd+zHD6SPfbYw6SXOV7QH3/8YU4InF8kbHLLylqhLxGR1kznT5F2WlTHprRz5szBk08+icWLF+O8885DSUkJTjvtNPP55MmTzR1PED/fuHEjLr74YvODf/vtt03lRlZ2FBFpT3T+FGmH/TixjD0vLw8zZsww6eJhw4Zh7ty5VRUeV65caVqKBLF8/b333sMll1yCIUOGmH5IeBK44oorGndLRESinM6fIu2wH6eWoH5IRGrS70Ls0PdEpAX7cRIRERFpzxQ4iYiIiNikwElERETEJgVOIiIiIjYpcBIRERGxSYGTiIiIiE0KnERERERsUuAkIiIiYpMCJxERERGbFDiJiIiI2KTASURERMQmBU4iIiIiNilwEhEREbFJgZOIiIiITQqcRERERGxS4CQiIiJikwInEREREZsUOImIiIjYpMBJRERExCYFTiIiIiI2KXASERERsUmBk4iIiIhNCpxEREREbFLgJCIiImKTAicRERERmxQ4iYiIiNikwElERETEJgVOIiIiIjYpcBIRERGxSYGTiIiIiE0KnERERERsUuAkIiIiYpMCJxERERGbFDiJiIiINGXgNHv2bPTu3Rvx8fEYPXo0vv32W1vTPf/883A4HJg4cWJDFisi0urp/CnSzgKnF154AVOnTsXMmTOxaNEiDB06FBMmTEBubm6d061YsQKXXnop9tprr+1ZXxGRVkvnT5F2GDjdddddOOuss3Daaadhp512wkMPPYTExEQ89thjtU7j8/lw0kkn4brrrkOfPn22d51FRFolnT9F2lng5PF4sHDhQowfP37rDJxO837+/Pm1Tnf99dcjMzMTZ5xxxvatrYhIK6Xzp0jb4K7PyPn5+ebuJysrK2w43//+++8Rp/niiy/w6KOP4ocffrC9nIqKCvMKKiwsrM9qiohEHZ0/RdqGJm1VV1RUhFNOOQVz5sxBRkaG7elmzZqF1NTUqlePHj2acjVFRKKOzp8ibSDjxB+vy+XC+vXrw4bzfXZ2do3xly1bZio1HnbYYVXD/H5/YMFuN5YsWYK+ffvWmG769OmmAmXoHZN+/CLSmun8KdIOA6fY2FgMHz4c8+bNq2oSyx8y31944YU1xh84cCB+/vnnsGFXX321uZP6z3/+U+uPOS4uzrxERNoKnT9F2mHgRLyTmTJlCkaMGIFRo0bhnnvuQUlJiWklQpMnT0a3bt1Mupj9lAwePDhs+rS0NPO3+nARkbZO50+Rdhg4TZo0CXl5eZgxYwZycnIwbNgwzJ07t6rC48qVK01LERERCafzp0jr57Asy0KUYxk9KzkWFBQgJSWlpVdHJCrodyF26Hsi0ri/C93aiIiIiNikwElERETEJgVOIiIiIjYpcBIRERGxSYGTiIiIiE0KnERERERsUuAkIiIiYpMCJxERERGbFDiJiIiI2KTASURERMQmBU4iIiIiNilwEhEREbFJgZOIiIiITQqcRERERGxS4CQiIiJikwInEREREZsUOImIiIjYpMBJRERExCYFTiIiIiI2KXASERERsUmBk4iIiIhNCpxEREREbFLgJCIiImKTAicRERERmxQ4iYiIiNikwElERETEJgVOIiIiIjYpcBIRERGxSYGTiIiIiE0KnERERERsUuAkIiIiYpPb7ojSckoXLEDBW2/Bu2Yt4vr0QdrxkxC3ww4tvVoiIiLtjgKnKFf85ZfIu/sewLLM+9KNG1H2yy/ocsMNiOuj4ElERKQ5qaguilmWhc0vvVwVNFUNLy9Hwf+92WLrJSIi0l4pcIpSlt+PwrffgXfVqoifl33/gwmsREREJMoDp9mzZ6N3796Ij4/H6NGj8e2339Y67pw5c7DXXnshPT3dvMaPH1/n+AJU5udj3fTp2Pj447WO4y8qgr+goFnXS0S2n86fIu0scHrhhRcwdepUzJw5E4sWLcLQoUMxYcIE5ObmRhz/k08+wQknnICPP/4Y8+fPR48ePXDggQdizZo1jbH+bY6/rAw5112PiqXLtjmuZ9XqZlknEWkcOn+KtH4Oq57lPbxDGjlyJO6//37z3u/3mx/zRRddhGnTpm1zep/PZ+6cOP3kyZNtLbOwsBCpqakoKChASkoK2rKC/3sLG594wta4nc48Ayn/+EeTr5NEp/b0u2grdP4UiQ7b87uoV6s6j8eDhQsXYvr06VXDnE6nSR/zbsiO0tJSeL1edOzYsdZxKioqzCt0A9syX3ExCt58EwWvvFqv6Tb891G4OnVCwrBhcMbGNtn6icj20/lTpB0W1eXn55s7nqysrLDhfJ+Tk2NrHldccQW6du1qTha1mTVrlokEgy/ekbVVlteL9bNm1TtoCsq99TasvfQyeGqpRC4i0UHnT5G2oVlb1d1yyy14/vnn8dprr5mKkbXhHRnTZ8HXqjYcFDDTVPH7ku2ah3fNGqybMUOt7ETaMJ0/RaJDvYrqMjIy4HK5sH79+rDhfJ+dnV3ntHfccYf54X/44YcYMmRInePGxcWZV3tQ+P77jTIff2ERSj77DMnjxsG3eTNybrgRnhUr4O7cGUl774X0Y46BQ8V5Ii1G50+Rdphxio2NxfDhwzFv3ryqYazcyPdjx46tdbrbbrsNN9xwA+bOnYsRI0Zs3xq3sbpNvvwNjTa/vHvvw/Jjj8PKM840QRNV5uWZYsCcWbOUkRJpQTp/irTTR66wKe2UKVPMD3jUqFG45557UFJSgtNOO818zpYe3bp1M+XsdOutt2LGjBl47rnnTN8lwbL85ORk82rPNj75pK3x/P5KlJZthNdXgdiYRCTGd4TD4aht5IiDy3/6GeW//oaEwTtvzyqLyHbQ+VOkHQZOkyZNQl5envkx80c8bNgwcycUrPC4cuVK01Ik6MEHHzStSY455piw+bAfk2uvvRbtFbM/ZT/+uM3xvJVlyCn4G15sCYi8RUgo24istB3gdNbv8JUtWqTASaQF6fwp0g77cWoJba0fktIFC5D/yCPwbdi4zXHXb1qGJw/145g3vWHD02NSkJ7Svd7L3uGVl+s9jUSntva7kKah74lIC/bjJNuv7IcfsP7W22otUgvyekuxuSQH/znJD7/TgfI4IH5r1ywo8hYjvelXV0RERELoIb/NyPL5kHvPf7YZNBWV5GJV4Qo8coTPBE20pkv4oaqEHz6fp97rUL5k+7o+EBERac8UODWj4o8/Ng/nrUuFpwh55fl44x9uFHXYWgH8p52dqHRVH7e43uuw7sqrUPDW2/WeTkRERFRU16zyH3wo4nBmjjYUrUaxr9y8/2K0C+szw2PavAwn3prgxq4/+dFpo4UKdtOyKQcdK8uQnNAJbnftHeJVt/HxxxHXvz/iB+y4nVskIiLSvihwaia1PRLF7/dibcFyeC1f1bDi5JpdDfj8FtZ1ciBnPze2lN5h0mteoLAAGz0F6JrUFfHxabbXZ92VV6qiuIiISD2pqK6ZrPnXJRGHbypaGxY0UXHS1sCJbR49lX5U+izz8lb64fUF6kgtHLL18K0tWQvLCgy3YKG0fCPyC1ZgU+EqlFcURFx2/pw5jbJtIiIi7YUyTs2gYunSWj8rqCwJe896TAUhLSMr/ZYJnkKxbrnPYWFpHydSi4DhPwYCr1Ub/0CMw4UyK9B1QXA6h7cIHT1FSOsQ3n1B0dz34IxPQPrJJ9XeoaaIiIhUUeDUDPIfejji8M1Fa2oMW7yjEz6XA36LxXP+WhvgMaByupxYMNSFXwY5kbHBQqU5mhY2pcRg8vNb+31iALWhohBJ8aWIiUkMm0/B668jYcguSBg6dDu3UkREpO1TUV0TK/vpJ3iWLw8bZlk+FJfmmbpJoX4Z6MTXI1ymPhOL4+rstWBLER5fhU4Lq7s6TYXynM5OFLksvLFf+KFl8qmoLPJz8XKuvwGli77fjq0UERFpHxQ4NSHL40HOddfXaEG3ZtNS5Jblmfd+B/DCkTF4YlIMPhvhQvmWukwm0qkHj9dvAi4GUrS6ixNPTnShJGHrOEWe8GLBUOtvugmF77xTv4WKiIi0MwqcmlDunXfVGLauYDk8IZXBHz8pBhuSYLJEDHyq61YxECi/E3FWtU6cIjABV7VK5k8c5cZHYwKHmc+721yUW+v0Gx59DN71tX8uIiLS3ilwaiKelSvNM+mq9wgeGjS9daAbHkegq4FIOpafjJX4J3yOBHTy9mjwuizu68Tq7EDl7/yKfKzO/6vWhNaaqVPNA4hFRESkJgVOTSR/9uyw9+wigD2Ch1qT5aiRJQrqVD4JeY7dq94X+CYiwWp4Xf739th6qMtRjpW5y1BUUVljPKu8HKsvvAjetWvhLy1Fwf+9hY3PPouSr7+GtY1HxYiIiLR1alXXBPg8uIqly8KGrd34Z9W/mdBZ3t0BTy1BU2b5oVjnGBc2rNC5IxIrrkBX53PwODcixp+KdbEr7a9TvAP/PcaFM18OZLy8zgpsLFiD4rgsdEkN73W8MicHqy/6Z415xA0aiC4zZ8IRE2N7uSIiIm2JMk5NgM+DC+XxFKPCqqwKmhgu/dGr9n6TStEn8nBHN6yyLsN63yystqahS8XYeq1XRZwDD57gqiqm8zpL4KlYjaW5xcgvrthmffSKxb9j00sv1WuZIiIibYkCp0bEukGrL7oofBgsrC5aGRY0eWKAv7pHDpyS/bEoQD9by1tjTUIXb7d6raPf6cADJ21NNHqdHsC5EptLy7Est3ibwVPRu3NNa8HQbeZ7X3H9HzgsIiLS2qiorpGw/s/aadPgXbtu6zDLwvKNi7f8e2sPA2+Pc8Hnjhw4JXn2Q4Fj62E5aHA2zhvXF2s2l+Gyl39EScXWyuWWIxarfNPR0fcLkhw/woGN8KMLSqyd4It7BKWOmnWYgt7ax4lDPwmps+RcA5e/E5blAl3TEpAYG+hPqqDMC59lIc7tRIf4GFPvacUpp7AJX8T5JgwdgszLLoMzIaQfBBERkTZCgVMjKflqPjzL/goblrv5rxpB07OHubA5pWbQlO5Lgst7MNY69q0a9r+zxyA5LnCIenRMxL0n7Ipnvl6JtZvLEOt2YsfMZLyyaA02YYh5VXEAMRU3AvHTal3flV0dWJsJdA3pfcDn3ACHPxZrN0eeZlOpF93SEuCuJWiish9/wt8nn4KeTzwOV4cOtY4nIrK9POWV2LSu1Pzb6XKgotQLr8cPv88Pp9OB+ORYM47ls5DVJwUJybEtvcrSBihwaiDL50PRh/PgXbXSBE2+gvBewMvKN6HEXxEWNL16QM2gKaZ8JsodWTDt7bZ8NGHnLJy/Tz/zww+V2SEeUw/YMWzYATtn43/frMSnfwQ61KTDhnbBEcNGwOn4Do9++Dl+z7kam12l4evvcODdvVw48W0fEspDhjvXIcafAC8yzHrHoBQOeOFDAryVccgpLEf3tK3ZpOKKSmwq8cDj88PtcqJzhzgkxLiQ/9BDyLrssobtXBGROvgq/VjyTQ6WfJ0Db0gW3o6k1Fhk9OiAjB7JyOyVgpg4F+KT1OBF7HNYraDTnsLCQqSmpqKgoAApKSFPwG0hrNOzbua1qPjjj4ifV/oqsHLzsrCgyesGHpkUHqcmlf8LhY7wQCgtMQaPnToSMa7GrX52zyvH4pMNSyJ+NvpHH0b8su2vQYw/Dh5kIiHWjXJP7Ser+FgXuqbGw7nlwcEJu+2GrGlXwOHadiee0np/FxKdWvv3xFNWaYKk37/OAU8p/lpaI2+vHUdlof/ILCSlxjXJ/KXt/C6UcWqAog8/rDVosix/jaCJ5hxXM2ioHjTRpJE9Gj1ooouPfAFlLx+GBUWr4at24vlmqAtetx9jf6i7nyZ2YRDr34hyT6c6x2NQlVdUgayUQDcHZYsWYcVxk9B99v2Iyc5uhK0Rkbaq0uvDmiWbsXFtCfLXFFUVxVFT3uX/8e1680rtnIBh43sis3cHOLbc/ImEUsapAZYffUzE4SyeW1eyDtU7Av9+kANf7RYeOGWUH4v1IfWZ3C4HLty3H/YflIWm9Ovvr+L6+debit/VO9/MzrMwZIkfHQsCwztFqOvE04jbnwjLUY5KR81Ay+1PQyVYtyn8hNOrU6IJCLvcfBPiBwwI+8xfVgZvTg7cnTvDlZzcOBvaDkTb70KiU7R/T0oLPVi/vABr/tiMog3lKNoYUnegBSWlxWHY+B7o2j9NAVQbVKiMU/Op+Gt5xOFebynWFq+LeEf0/aDwDFLnynSswzhcPmEA9t6xM5rTzgOPwgsDj8Kkx4eZrFjo415yOjuQ03lrgNdpk4Xj3wkvkuPYXmd4falQlc7NcFtFqLS6hPV28feGUnSIdwNXXoUuN9+M8sW/YdPTz9SY3pWagk5nn434nXaCKwpP8iJSf7w/L95UgQ1rirF5fan5d1mxB+XFXpQVeRGNSjZX4MuXlyI2wY3Mnh2Q3TcV3QakIy5Bl832ThmneuCuWnHMsebfpeWF2FC8DhWou2LiI8e54I3ZerfiZjBRdi0m7TEcx45o+PPntldJcQ5Of+kgk3Wq7Vl5dPg8H3rk1P8r4raccFisRG6hEmmwtsTozKz16pQUOJFWVJoiPfMNZEtApxMJsS4TYLHVYEyHDuh0xumIHzwY7o4dw7p+8G3YADidcHequ9iwLYuW34VEt+b8nvh8fmxcU4LCDWUmICreVI6SAg8K88rqXYk7GjHxlJqZiG47pqHvrpmIT1al8tZKGadmUvDGG+ZvhacM64pXb7O8nX0lhQZN3SqGYiXOweAeKTh6t+5oSUnJ2Zi1z12Y/slUE8x4Kv2BAKaaz0Y6cdL/1X7Ce3Kiy3zurjaKKcZzlGx5tyVD5e+OSp/TdLRZgwV4fX54y/woLAvcgTo3lGLTLXeaPqUSd+iFbnfeaeqWrZt1C8o2FZiTWPLAgci64DzE9uy5dVZ+PxzO2uuJMWhT6l0kUEwWl+g2LXg3rC2Gp8wHh9MBb0UlKj1+87t0xznNv8uKPCb7woCoILcUm3PLUF7iNb9DTu/3W7D4ipJbcbaeY9DWmLhtzJjx9evna5HeJRFxiTFIz0pE94HpSMtK1LmlHVDGySbv+lysPv988++/8hbD76h7t710kAu5nbb+gLp6dsQq61/omhaPO48bVtU/U0vzVBThxlePxJLyfFM3y+f3m7/BNee3o0OxhclvhEdGP+3IeltO+FwO7L7Ih10X2/sauf3ppg4Ue1R3wgcXyuAwWTvWl3LCi9Qa9aOC+mYmo6SiEjkFW+tA8ISdkZGKzCGDUPLDT/D6/SaL5nY6kD52NFImTEDsDr3N8/XWPjwHmxZ8D0dpKVJ37Iv0gw5E0l57wRm77b5d+DPxlwQCQWdiYp2BWWPhMr1r1iK2e7eo/V1I9Kvre/LZ/5YgZ3khWivWQ2JruL67doazjkY1m3NLsWldCdyxLpMFY12q/NXFpsiwMTFw6jGoI7r0SzWVzBVERa/tOX8qcKpruXPfw4Y5c8KG5WzKQbFvY53TfT3UiYWDw3/EvooHcN8Ju6J3RhKi0bq1C/Gv986oMdzrs8ydZBV+XaqdDGK8Fs5+sXHT8DH+WFjoAD/c8KNm82AGXo5aAqxQzFbFuV1mlTeVemrcDfPz7rsMQNcrLoM7K6sqIPJXBE6ozrg4lP62GL/fMxue5SvA+vScxt2zJ/y5uUjo1RM7XHYJYrp2tbVdVmWlKWJk5qz4q/lwZGQgbd99anQWWvLLr/jlvkdQsXIVdv/fY3CnpdWYlwInsaO27wn7QnrltoVoLTp0ikfPnTqi247pJvPFTJnLvX03MMyQrf5jE5Z+tx55q4obfX2zeqegU/dkdEiPR2JKLOKS3AqmooQCpybAZ86FPj6F8gs2YrM3p87p/uzlwEejnagMKaKLL78CT5x3POJjor8fo5Urv8DS1V8hNSkLHZIycc3n01FRGUjZ1+CAeRQL60glFPhrZKUaU4wVA4+VDRcq4HTkm6JAp+WAC274rE7wg1kjBlOVJoPFOlXBelVbMcsVKAYMjB+yKQ4gIzkOyfFulHl8KPf6UF7pR4c4t3nsDIsy68JWg8nDhyO+V094c3Phyc01LQVRXo60Qw+FKysLy97+EN7fF1cVRQZxmZljRiBrwgGAy4lljz2DTX8uN0WXlHbwPzBy+sU1lqnASeyo7XuS+3chPnk2ct9uLc0d60RGt2Rk90tFZs+UQPamWofATdFf1NJFuVi6YD3KS2p/XNX2iE1wIS0rCZm9OiAtM9EEV8npcQqmWoACp0bE+jErjj3OxAkFZR5sLsqHA2WwHJWodEQODH7r68Dy7g6UJDiQF1I8R93j7sItx+8TNUVz9fXi+//CK2s+Ccs8Bes0sDgsiIFFUrGFYb/7kbERKE0AfhjoxG6/+dF3Vct9xVyWE/wPlgs+RwX8IYfHZTngtOJNL+m1FQ8Gs1sxKDHfg8D7RPjhMkGYD/Hm04YJ7pfIy3ahFE4UwuHsgOFPP4fknuGNCRQ4iR21fU9+/mQ1Fn8VfnPYkpg9Gjg2G1k7pKJT16QmD5Rq4/X48Nf3eVjxcz4KcgO/+abkjnHCHecyGbSEDrFIzUhAamYC0rOTkJQWC3cruOFujVQ5vBF6Ai9dsACVeXnY+NTTKPFUIm9zrmlaH9KiPqJKF/DJaKd5hEn1LgcG9/0PLjpgaI1Hp7Qmx46/CwVvnYoPN/wEuMK347DsMZi035148v0L8EH+DyhJ9uOL4eE/8m+GOtFrbc3K483F5/DDx/pTER547HNY8Dl4Ylxl3sdYboAvhxfekCCZWx0+deBkGpqDCkwbt+UnxU84vQ9w+GBZySa4cqIYfke5WW4op8UgLgV+xJgsmQtF8DvKAutn5l2ARXc/jL3vvrGR9460Z+tXNH/dppRO8UjJSEBCSizSMhOQmBKHxNTYqMq6xMS6MGB0tnmxJWDeykKsXVqA9csLTRcFja3S6zcvds3AQC1nWfjju4hFk8xOsSsE/puPiEnoEGMqwMfEuU2GLjbebfZra77etBbtPnBipe91N9yAghWrTJFTcbkHZb6/txkwBf3Vw1EjaOpaMQTnHzUbg7uxonPrxjo/Zx3+FI7MW4w3v74dbpcb/TKHYae+/0Ba+g5mnOP2vgGfvHqE+TYxK2UqlzMr5XCguKOFd/e2sNcCP9KKAvOsiAFWdHdgZRcHlvZywO90YJclfuy9oO7isKbmZXAVIcDa7mkdgZ5Ea4sdmQXzO7ZexPwR5u1aOB85C35A9ohhDVo/kZoPxw22em0cfMgu8cLOjFF6lyRzgWcgwmb7rDjN58K1Jlzfrv3TzYvWLNmEVYs3mvpQbGXYXFiMuGH1tutg8bwbE++qCqZcLqfZhthEdyDoineZ4xN88YjxETZOtxPxSZzGZaZjlouZsJbK+kW7dl1UV7F8OVZOvRTrNqxFJQprZAK2pTwOeHW8C5vSAl8uFxzYKWYEpp/4ABLj4ho9fewprYzaO4rCglWY+vpRKPLX7MyOrdz4tPLEMsATg/B+rVwOuJyOqnGSS4ARv/jRc52F5Nr72Wx3YvyJKN95Pxz00G1Vw1RUJ3ZE+p4wc/LjR6tMPSd2QVAdL5hd+qaac40rxml+m7yoMjhiMMTWbOyigH+zdkiJynNSc3XoyczduqWbI+7H1s7lZjcTgUZBDMjiEmLgcAaKVateMVtebmdVuyE2PGAGMRiEcRq+5+f8bpns4pYqH/xrPqsaJ+TfZtzAPIPTV41v/r1lnsF/I3RYcN6B9e3ULfypFO26jtN3LzwD14LF6HvsRKSMGF6jmTgf51GyYCE2/PgLHCv+QlznDHiLi7Fh4Q/YXJQHr7NmWtSO3/s4sGBnJwpSHbhmn/9h/aYNyM7ojl132MFWytnH1GxpIMjYnFOK9X8XYumC3KrP2RKjZFM5Kkorw1qC8e4hu0+KGcbycN4lsOJkcnq8Cap4l8CqM8z8bG+Lk4bUD/tl8StYvv57ZKX1xpCBx2Dlmvm49ourUWmxf5fAhjBQqo1/y7r7tjzsjy32+q20sN/XLZuNamk/D47Fnhe8iVE7be2vSoGT2FHX94StythUP29VESpKKk1xEB8xwmIfsY/nrPV/FWDdsgLk/FXQ6N0cyPbhtfKwi4aGDWvXdZyWvXI7Oud48f03/wcn3IiLTUVsTCKKSzfCZxXDD7+p3MtLtlX9el3PuGLRTg78voMTm0xXQ4GZHdnlAAzvv3PYeIy22TEcg56KEm/g32WVpu+Qwg3lZhjv+OoKWWtLy7LMfdXiTbbWl6vIu0TWIWDLFLboYODFtDnrFsTEOU3fJ6yU2BgnSgatu+x8rHkFDeh/CP5VtAaP//woNvnDTyZ7pg3AgYMno3+fCXh53qWmEjpjKt7VBpLIjBSBZQOAxf38cHss9FoXOJbrMxzonmNh2GI/EsuB4iTgl35OU/S34woLXfIspBdaphgsOz98PV8b74LLb+Hwj1pHMPbMkW6UpwIHWN8A2Bo4iWwv3tGzEjJf0nDMnHTpl2ZexGI8ZqM2rCkxz97jOb8gvyzQqag0O2awGnV+Dck4zZ49G7fffjtycnIwdOhQ3HfffRg1alSt47/00ku45pprsGLFCvTv3x+33norDj74YNvLqy0y/P79uVh9512hm1Pt71ZsqF5zTzoCwx2sp+SG5XCZvyx0s5xszr7171e7xcBhueG03HBYLvM3290RAzP3gdPJ/kQcJkDiD6M1PlqA68+gKpCOZ0DlMCcDx5a/tf7bFZ5aZcqW8wlPujlg+SuxqWAF4uM6ICk5qyqlGvIHPp8HxcXr8OeaL5FXsh5/lIV2/RDoldO/5esamIb1qSwTGvOtSWQ5Aq3gtjzFJTBfyw8/880OhxmH/eQxiGaGrHOuH+mbLWTlW6boNXOjCbG3LHLrT4PfFCpJsBDjZXEj4GQ3DFV9cTYkcbvtzOS7+7ngTXDC5y7FkQNH4vD9bq76TBmn1ilazp/SvJjdY/DE4tFNOaUoyueNtIKp5sAi5UPOH9JyGacXXngBU6dOxUMPPYTRo0fjnnvuwYQJE7BkyRJkZmbWGP+rr77CCSecgFmzZuHQQw/Fc889h4kTJ2LRokUYPHgwtsePbyxBZfaJaEq8wG5IA7JM/V4HYhxOdIjpgKT4VMS6k1C8kcVt0fmQyvrwVVrwsXPGJuq/JCB+y75aXcc4zBvuBT4imK8ACxWeIqwvWoNK0+7MgeSYJHh9HpT4t7+CZmUisKZXIPbJzwosj8e6qvf0LX9D3wcCv8Ab0ws6u7raUs4eGMmC08fgCkiogGlVyH9XuoHiRMDHel5bpjVPp2Hw6gNiKgPzqYgFLKcDvXKBNHcS+g/pif33q/3iKq1DNJ0/pfmze+y7ia+wJxKwagIfaVPsQUFeGTavLzPFp6Wb+SBkr6lfxvOzRI96Z5z4Yx85ciTuv/9+85538j169MBFF12EadOm1Rh/0qRJKCkpwVtvvVU1bMyYMRg2bJg5edgRKTL0lZbi+dPvQFlc0xZd8CLnT3SjW3pfOJytvmSzDbLg8ZbCxayfK3KFfMvywVtZbjJaCfFMpQeCG7/fi5LSDSjxFqHU70UsM458zEmNdm1bBYoQAxETx2K2qzrmMmvMwaoWcNnUK62v2S4+B2v3o/qFfaZMQusTLedPaV2ZqtIij6n68f/t3V1IFGsYB/BnW1fz44jVkqsLlkERBEkYwQbRRV7UiYjqIiJIJJBOXkR0VVTWVVHURRFBV95leQ4VBQWhfWBslhYEfUiGVJRl1pH05H7NvofnqZmzq2vNHtfdnfH/g2mdj7WZh5nHd96Z9325dR0/2eCuC4YHg/J0Q5/48SA/EkQhayzu7uL3PzJU4xQKhairq4v27t1rLJs2bRrV1NSQ3+9P+B1ezndYsfgO6/Lly+P+P8FgUCYdH5h+oLruP/+ib6ERCkg/PJPjG98Y5ORRaaGXRkL/jY8G2Sei8fOzX9X8uehbIL4JtjOniIp5muD/H41qci0YpSJ+GZ6UFNaiKkL/jPxNEaVRvquACvPd5Ih56K4UF7Mc8hkOD8uvyHX9JtsE+ZjCXMDLiTv/mT5vgfYdkGX5EyyG31ct5MlBBW4e9YCnxO+lRcKaPP7jBkiRSJTCge8FrlBAk5+DIxqFghEK/2h4xC3fwsGodFHB/UlpIU3e09X7l9LbW1m5QOYMRFKaP5MqOA0MDJCmaVRaKs8zDDz/4sWLhN/h5/iJtufl4+Fq6cOHD49ZzndmABBvaGhI7pwguyF/AmRQ/P3HhPJnVj574juy2Lssrs7+8uULzZo1a9ym/lx65MTw9u1bVEdPIsQ5e+LMd0p80ZebHGAYpgbkz+yFONsjfyZVcHK73eR0Ounjx49xy3ne4/Ek/A4vT2Z7lpeXJ1OskgSjwyfCQcIJOfkQ5+yIM2qarAP5E3SIs7XzZ1K9G+Tm5lJ1dTW1trbG3c3wvM/nS/gdXh67Pbt58+a42wMA2BHyJ4A9JP2ojquAa2traenSpdL3CDen5VYfdXV1sn7btm3k9XrlOTvbtWsXrVy5kk6cOEFr166l5uZm6uzspHPnzqX+aAAAshjyJ8AULDhx89hPnz7RwYMH5QVFbhZ748YN4wXGN2/e/Ghd9N3y5cul75H9+/fTvn37pAM3bhGS6j5IuGq6sbFxTBU1pBbinB6Isz0hf05tiLM94myJseoAAAAAskF6R4EFAAAAsDAUnAAAAABMQsEJAAAAwCQUnAAAAACmUsHpzJkzNHfuXJo+fboMovngwYNM75KlHTp0SHoYjp0WLlxorA8EAtTQ0CA9ERcVFdGmTZvGdNIHid29e5fWrVsnvdVyXEePOcZtNbjFVVlZGeXn58s4Zi9fvozbhnuB3rp1q3Tsxh0bbt++nYaHh9N8JGAXyJ+phfxp//xp+YLThQsXpG8Ubnr46NEjqqqqkkEw+/v7M71rlrZo0SLq6+szpvb2dmPd7t276erVq9TS0kJ37tyh9+/f08aNGzO6v1bBffbwOcp/rBI5duwYnTp1Ska+7+jooMLCQjmfOdnq+KJ/+vSpdIR47do1SSb19fVpPAqwC+TPyYH8OTmyJn8qi1u2bJlqaGgw5jVNU+Xl5erIkSMZ3S8ra2xsVFVVVQnXDQ4OKpfLpVpaWoxlz58/5y4tlN/vT+NeWh/H7NKlS8Z8NBpVHo9HHT9+PC7eeXl56vz58zL/7Nkz+d7Dhw+Nba5fv64cDod69+5dmo8ArA75M/WQP+2fPy1d4xQKhairq0uq43TceRzP+/3+jO6b1XH1JleHzps3T0ro3DEf43iHw+G4mHM1dEVFBWI+Qb29vdIpYmxseSwlfnyix5Y/uXqZe57W8fZ83vMdFoBZyJ+TB/nT3vnT0gWngYEB0jTN6HVXx/McQPh/+ERramqSHo3Pnj0rJ+SKFStkJGmOK4+5NXrQUMR84vT4/ex85s/Zs2fHrc/JyaGZM2ci/pAU5M/Jgfxp//yZ9JArYH9r1qwxfl68eLEkgjlz5tDFixflhTsAAEgM+dP+LF3j5Ha7yel0jmmRwPMejydj+2U3fHe0YMEC6unpkbhyFf/g4GDcNoj5xOnx+9n5zJ+jX9yNRCLSUgTxh2Qgf6YH8qf98qelC05c5VldXU2tra3Gsmg0KvM+ny+j+2Yn3FTz1atX0sST4+1yueJi3t3dLc/wEfOJqayslIs3NrZfv36VZ+96bPmTky6/K6Fra2uT857vbAHMQv5MD+RPG+ZPZXHNzc3y1nxTU5O8MV9fX69KSkrUhw8fMr1rlrVnzx51+/Zt1dvbq+7du6dqamqU2+1W/f39sn7Hjh2qoqJCtbW1qc7OTuXz+WSCXxsaGlKPHz+WiS+/kydPys+vX7+W9UePHpXz98qVK+rJkydq/fr1qrKyUo2MjBi/Y/Xq1WrJkiWqo6NDtbe3q/nz56stW7Zk8KjAqpA/Uw/50/750/IFJ3b69Gk5EXNzc6V57f379zO9S5a2efNmVVZWJvH0er0y39PTY6znk3Dnzp1qxowZqqCgQG3YsEH19fVldJ+t4tatW3LBj55qa2uNJrUHDhxQpaWl8gdt1apVqru7O+53fP78WS70oqIiVVxcrOrq6iShAPwfyJ+phfxp//zp4H9SW2EGAAAAYE+WfscJAAAAIJ1QcAIAAAAwCQUnAAAAAJNQcAIAAAAwCQUnAAAAAJNQcAIAAAAwCQUnAAAAAJNQcAIAAAAwCQUnAAAAAJNQcAIAAAAwCQUnAAAAAJNQcAIAAAAgc/4Fq2UNlz1CwWcAAAAASUVORK5CYII=", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def ding_example1():\n", " \"\"\"Ding, M., Chen, Y., and Bressler, S.L. (2006). 17 Granger causality:\n", " basic theory and application to neuroscience. Handbook of Time Series\n", " Analysis: Recent Theoretical Developments and Applications 437.\n", " \"\"\"\n", " sampling_frequency = 200\n", " n_time_samples, n_lags, n_signals = 1000, 2, 2\n", " coefficients = np.zeros((n_lags, n_signals, n_signals))\n", "\n", " coefficients[0, ...] = np.array([[0.90, 0.00], [0.16, 0.80]])\n", " coefficients[1, ...] = np.array([[-0.50, 0.00], [-0.20, -0.50]])\n", "\n", " noise_covariance = np.array([[1.0, 0.4], [0.4, 0.7]])\n", "\n", " return (\n", " simulate_MVAR(\n", " coefficients,\n", " noise_covariance=noise_covariance,\n", " n_time_samples=n_time_samples,\n", " n_trials=500,\n", " n_burnin_samples=500,\n", " ),\n", " sampling_frequency,\n", " )\n", "\n", "\n", "plot_directional(*ding_example1(), time_halfbandwidth_product=3)" ] }, { "attachments": { "image.png": { "image/png": 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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "## Ding Example 2a\n", "\n", "> Ding, M., Chen, Y., and Bressler, S.L. (2006). 17 Granger causality:\n", " basic theory and application to neuroscience. Handbook of Time Series\n", " Analysis: Recent Theoretical Developments and Applications 437.\n", " \n", "$$ x_1 = 0.8x_1(n-1) - 0.5x_1(n-2) + 0.4x_3(n-1) + 0.2x_2(n-2) + w_1 $$ \n", "$$ x_2 = 0.9x_2(n-1) - 0.8x_2(n-2) + w_2$$\n", "$$ x_3 = 0.5x_3(n-1) - 0.2x_3(n-2) + 0.5x_2(n-1) + w_3$$\n", "![image.png](attachment:image.png)\n", "\n", "> dashed curves showing the results for the first model and the solid curves for the second model" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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ataI+I9VuPHLkCPr16ydKnGVlZdltr9frERcXh4ULF9ZaRXvnzp2YOnWqKKX2888/w2Aw4K677hL1Jq2ZPHkyMjIyLMs777zT2NdnGm2B1edCmqcbMYwr1IVcvHixEBKlkG1iYiI2bdqEFStW4JVXXqnRniwrWgh75wmqK2nNqlWrhCV2+PBhDBs2zHLcx8enVhFkmhm2wJi2ZoFRZW0SlZEjR1bdQK0W+/v27Wu2l6K6cARV4bZm9erVCAsLQ+/evTF79mxh3dUGFb+lOnPWC9NAqFRoqdkC867NAuMYGONiFlhOTg6MRqOlCrcC7Z85c6ZZXshkMuGFF17ALbfcIoRK4bHHHkPnzp0RFRWF48eP4+WXXxZxsm+//dbufSiuNn/+/GZ5J7eDslBUlsnbbIExbcmFbGkoFnby5Ens3r3b5viUKVMs23369EFkZCRGjBiB8+fPo0uXLjXuQxYaxeoUyALr2LFjC799G3MfNZ5VQlUd5TjlxTcaAI229d6PYZoiYOS+aTQaZGZm2hyn/eaITU2bNg0//PADdu3ahQ4dOtTZlno/iXPnztkVME9PT7EwTUDJ8UXzIFUq+22UlNKKFVbblCOGcZYYmE6nw8CBA7F161Ybl4/2hw4d2uSXkCRJiNd3332Hbdu2ITY2tt5rjh07JtZkiTHNjBLX8jTHuezhoQM0OnN7diMZF3EhyS2bOHEiBg0ahISEBDGui4Y7KL2SEyZMQHR0tIhBKYH/U6dOWbbT0tKE+Pj5+SE+Pt7iNq5Zswbff/+9GAt29epVcTwwMBDe3t7CTaTz99xzD0JDQ0UMbObMmaKHsm/fvs3592CIcrOA1eY+KtD50goWMMZxSE1g2bJlUqdOnSSdTiclJCRI+/fvt5wbPny4NHHiRMv+xYsXJXpM9YXaKdg7T8vKlSvF+ZSUFGnYsGFSSEiI5OnpKcXHx0uzZs2SCgoKGvzO1Jbu2Zhr3JaT30nS3ABJ+uzuutst7iW3u3K4td6MacMUNOE32qQgPrl7tNhjx44dNvs0Al/WqDpFtM7zFHynwa6ME7mQNnnxzal3GKaV4bmQTNNdSGWIRYm515JhWhkWMKZ2C0wZrFobvmHyWp/T8u/EMHZgAWOaLmA+ZgErYQFjHAMLGFMTpVexvhgYW2CMg2EBY+qIgTVQwNgCYxwECxhTk4qiBgbxFQuMg/iMY2ABY+pwIc3DJOq1wLJb/p0Yxg4sYEzTXUgO4jMOhgWMqd0Cq8+FVCwwGshKGSkYppVhAWNqj4HV50J6BwMwZ6sovdby78Uw1WABY5o+El+tsZpOxBlvmdaHBYypw4WsJwZGeAbI63I5DTjDtCYsYIwtFMuiLKsNGchKeJkFjC0wxgGwgDG2lJvjXw21wChrK1HGFhjT+rCAMfbdR8qH35A89xYXki0wpvVhAWOalgtMgV1IxoGwgDFNGwNW3YVkC4xxACxgjP0YmK6eMWDVXUiOgTEOgAWMqSUXWEMtMHYhGcfBAsY0LReYAruQjKsJ2PLly0WxDi8vL1Fg9uDBg7W2TUpKwsMPPyzaq1QqUYatKfcsKysT5deorBqVZKN7Vi+wyzSnC9lAAWMXknElAVu7dq2oDTl37lwcOXIE/fr1w6hRo5CVlWW3vV6vR1xcHBYuXFhr9e6G3JPqQG7cuBHr168XFYrS09Px0EMPNfb1meZKJ63A48AYR9LY2m1UB3Lq1KmWfaPRKEVFRUkLFiyo99rOnTtLS5YsafQ98/PzJa1WK61fv97S5vTp06KG3L59+xr03lwXsoFsfVOu9bjppYa1Tzkgt3+/b0u/GdPGKWjCb7RRFhhV1j58+DBGjhxpOaZWq8X+vn37miSgDbknnTcYDDZtunfvjk6dOtX63PLychQWFtosTDPmAlNgF5JxII0SsJycHBiNRkRERNgcp/2rV6826QUack9a63Q6BAUFNfi5CxYsQGBgoGWh4rhMC/dC1lOgmGGamzbbCzl79mwUFBRYltTUVEe/kouNxG/kODDJCBj0LfdeDGMHDzSCsLAwaDSaGr1/tF9bgL457klrcjXz8/NtrLC6nuvp6SkWpoVygSlQO5VGFjCywhp6HcO0tgVGbtzAgQOxdetWyzGTyST2hw4d2qQXaMg96bxWq7Vpk5ycjJSUlCY/l2mGXGCESmXlRnIcjHFiC4yg4Q4TJ07EoEGDkJCQIMZ1lZSU4KmnnhLnJ0yYgOjoaBGDIshyOnXqlGU7LS0Nx44dE2O54uPjG3RPimFNmjRJtAsJCUFAQACmT58uxGvIkCHN+fdgLOmkGyhgom2AnFKaB7Myzi5g48aNQ3Z2NubMmSMC6P3798fmzZstQXiyiqgXUYHGaw0YMMCy/+6774pl+PDh2LFjR4PuSSxZskTclwawUg8jjRP76KOPrvfzM9VRpgQ1dC6kzVgwFjCmdVHRWAq4ATSMgiw5CuiTBcfUwoKOsiU17TAQJlvI9bLqPuDSr8DDnwF9/tLSb8i0UQqb8Btts72QTBOorKhyA31CGn4dJzVkHAQLGFOFUhpNpQa8bMfc1Qm7kIyDYAFjqtDnVtV7tIpj1ovSC8kWGNPKsIAxVZTmyWvvRriPBE8nYhwECxhT0wLzCW3cdZzUkHEQLGBMFfq8WgXMJJnw5akvsfH8xprXcVJDxlXGgTHuYIEF1zj11oG3sDZ5rdge2XkkvD28q06yC8k4CLbAmHotsB8u/GARLyK1KLWWIL55HiXDtBIsYEy9QfxPjn1hs3+58LLtdTwOjHEQLGBMFSU5di2wS4WXxDpUG2tfwJSJ30o+fYZpJVjAmCqKzSmN/KrmoF4tyoNJVSq283JqETAldxgJmHvMTGOcBBYwpopicxEVv3DLoV0XT4u1qdIf+iJZ2C4VyBZZDQEzGYDK8tZ6W4ZhAWPMmExASXYNC+y3tLNira4Mhamindg+X3CeisFUXWudO4zdSKYVYQFjqgL4lFUVKsA3zHI4OVd2F+ODYwBDOKgOTFFFETL1Vhl0adqRkn6HA/lMK8ICxtjGvyiAr9FaDqcVXxHr7mExiPD3g6lcdi+T85Jrj4MxTCvBAsbUGsC/VlIBvUk+PiCyC6KDvGEql2sQ/HHtD9vrWcAYB8ACxtQawP/9Sj7UOnlsWNfQGEQHe8NYFin2WcAYZ4AFjKnVAjuSmg2VhxzT6ujfUVhgUoUcH7tSJLuWFljAGAfAAsZUs8Dknkbi0JXzUKkkaFXeCPEKERaYySDPk0wvSa9FwDiIz7QeLGCMXQuMhkmczrkotiN9o6FSqeQYmFnA8sryoLcuZGuZTsQWGOPkArZ8+XLExMTAy8sLN910Ew4ePFhn+/Xr16N79+6ifZ8+ffDjjz/anKcfh71l0aJFljb0vOrnFy5c2JTXZxogYOkFZSg2yse6BHcW6w7B3oDJGzDKmSgySjKqrlfKsLGAMc4sYGvXrhX1GefOnYsjR46gX79+osRZVpbZBanG3r178eijj4q6jkePHsWYMWPEcvLkSUubjIwMm2XFihVCoKiEmjVvvPGGTTuqDcm0TBD/91QK4MvpdToHdBTrqCBZuIwGOV9+WnFa1fUcA2NcQcAWL16MyZMni6KzPXv2RGJiInx8fITo2GPp0qW4++67MWvWLPTo0QNvvvkmbrzxRnz44YeWNu3bt7dZvv/+e9xxxx2Ii4uzuZe/v79NO19fLmPfUhaYEDBtniWAT/joPBDiq6uKgxVbxcGUIiBKRguGcTYBo8rahw8fxsiRI6tuoFaL/X379tm9ho5btyfIYqutfWZmJjZt2iQstuqQyxgaGioK5ZJ7WVlZWeu7UvFbqjNnvTB1lFNTKhKZBexYaj5U5iEUHfw7WJqKnkh7gXxfc/BfmY7EMM6WkTUnJwdGo9GmYjZB+2fOnLF7DVXatteejtvj888/F5bWQw89ZHP8+eefF5ZbSEiIcEtnz54t3EiyCO2xYMECzJ8/vzEfz31RREetFZaU0SThZNo1qGNtLTBFwJKvyu5ibqk5g6t176WSkodh3DGlNLmijz/+uAj4W0NxN4W+fftCp9PhmWeeEULl6elZ4z4kcNbXkAXWsWPVD5Gx5z6Gi3mNl7OLoTflw09dCQ+VByJ95cGrhBhKccWvpoCxBcY4u4CFhYVBo9EIN88a2qeYlD3oeEPb//rrr0hOThYdBfVBvZ/kQl66dAndunWrcZ5EzZ6wMfUH8K8WlFkC+JF+kfBQe9i6kJVmC6zMWsDCq/Lqm4yAWtN678+4LY2KgZHVM3DgQGzdutVyzGQyif2hQ4favYaOW7cnfv75Z7vtP/vsM3F/6tmsj2PHjon4W3h41dQXpnkC+FcLScBkUesU0MmmaedQH0hG2QLLKbVyF0UWVxUgmapy6zOMs7mQ5JZNnDgRgwYNQkJCAt5//32UlJSIXkliwoQJiI6OFq4dMWPGDAwfPhzvvfce7r33XnzzzTc4dOgQ/v3vf9vcl1w8Gi9G7apDAf8DBw6InkmKj9H+zJkz8cQTTyA4uGYFHeb6LLDMwnKoPWVR6xrU1aZpTJivxQK7VnZNlFtTq9SAxgPwCZEtsJIsmxH9DOM0AjZu3DhkZ2djzpw5IhDfv39/bN682RKoT0lJEZaRws0334w1a9bgtddew6uvvoobbrgBGzZsQO/evW3uS8JGo79pzFh1yBWk8/PmzRO9i7GxsULArGNcTDNYYGY3MJMsME+5k+WG4BtsmnYM9oHaJFtgRsmI/PJ8Mc1Ivr6dWcA4DsY4cRB/2rRpYrHHjh07ahwbO3asWOpiypQpYrEH9T7u37+/Ka/KNMGFzMgvhcbLvoDpPNToGOyH7EofqD30IpBvI2DZZ4BiFjCmdeC5kEwNFzK9JBMqTSnUUCMu0HYwMRFLbqQ5DmYTyFdS8ZALyTCtAAsYU8MCyyqRra8Qr3DoNLoazeU4mJ2hFP7m4RaF1TJVMEwLwQLG2FhgJpOEaxWyKLXzrsqNb024v1fVUAprAQs0j7PLT2npN2YYAQuYu1NeDBhK5G2/COSWVEDSyNOu2ltlZ7Um1E9n34UMMgtYQbVkhwzTQrCAuTtKvErrK1LiUA+kykPOKBHuY38oRBgJmD0XMtA8Z7IgtaXfmmEELGDuTo0xYCRgsgXWzrs2AfOEySxgOWU5NV1IGkZhkKt5M0xLwgLm7tgbhW+2wMJqiYGF+nlCMtqJgXkHy5YcUWCVK4xhWggWMHfHzih8laZYbLerxYUM9a1yIXOsBUylsnIjOZDPtDwsYO5ONQsss6DKhazNAvPSauCjlhMYXivLE9OJLASYh1IU2U7gZ5iWgAXM3bFOpUMuZJEeKo/iOmNgRIh3iGU6UaF1JSIlKwUPZmVaARYwd6f6KPzCbFFKTQV11RQhO4T5UlYK79pH4yv3ZZgWhAXM3bFyIWkyfYZ5HmOgLgiaOnJ6USDfZB7Mmlli5S5yYkOmFWEBc3esLLBregNKTXJu/HBFiGpBjAWroBxgQGqR1bgvpbI3W2BMK8AC5s5IkpWAReBybollCEVtg1htxoLZFTC2wJjWgwXMnaHMqSaDvO3bDil5+noHsVoPpTAZZAFLKUqpGcRnC4xpBVjA3BllrBa5fR6eSMmt6oGsbQiFTQzMrgWm5MbPkXPjM0wLwgLmzuSn2kwBumxtgdXjQtKEbkXArhRdqRoL5kPCx7nxmdaBBcydUSZdm7NIXMypioHVZ4FRDEwyBAGSGmXGsqoCH5Qb39d8bRHnBWNaFhYwd8bKAqMhFOeyiqHSFohD4T7h9cbAAI1lKMVVcxJEQVAn2/szTAvBAubOKIkHgzqJPGAFZVUupHU1bnsE+eigJk/REFiHgPF8SMYJBWz58uWIiYkR1bOpwOzBgwfrbE/l0rp37y7a9+nTBz/++KPN+SeffBIqlcpmufvuu23a5OXliYrdAQEBCAoKwqRJk1BcLAecmesM4gd1EtaXWntNjML31foi2LPucnUatQoh1BNZKc+JZAFjXELAqGo2lTObO3cujhw5IorQjho1CllZ9rvN9+7dK0qlkeAcPXoUY8aMEcvJkydt2pFgZWRkWJavv/7a5jyJV1JSkiiK+8MPP2DXrl21VjFiGjgG7NplGwFTmatxk/VF/4jURztKLa1YYHorAePU0oyzCtjixYsxefJkUci2Z8+eSExMhI+PD1asWGG3/dKlS4U4zZo1Cz169MCbb74pyqR9+OGHNWo/tm/f3rJYF6w9ffq0qD356aefCovv1ltvxbJly0StyPR0DhQ3iWsXAZqErfEEQuPxR2YR1NoqAWsI0UHeMNl1ITvLa06pwziTgFVUVODw4cMYOXJk1Q3UarFP1bLtQcet2xNksVVvT/Ukw8PD0a1bNzz33HPIza2aIExtyW2kauAKdE96NlXstgcVwKVq39YLY0XG7/I6oheg0SIpvRBqKwusIXQI9oZkdiFt5kOyC8k4o4Dl5OTAaDRaqnAr0D5V6bYHHa+vPVloX3zxBbZu3Yq3334bO3fuxOjRo8WzlHuQuFnj4eGBkJCQWp+7YMECBAYGWpaOHRv2o3Q7AYvsB6NJwumMKgHr5G8WoCZbYOa/dVkBUJrf3G/OMNdXmbu5GT9+vGWbgvx9+/ZFly5dhFU2YsSIJt1z9uzZIlanQBYYi5h9AbuUWwJ9hRF+nnIcs0tQlwbdIposMBoLBiC7NBsGkwFatRbQ+QI+oYA+Vx5r5i23YRiHWmBhYWHQaDTIzLTNtkn7FLeyBx1vTHsiLi5OPOvcuXOWe1TvJKisrBQ9k7Xdh2Jq1GNpvTBWAXwrATuZVgCoy6DSytZSbGBsgy0wyegLSBpIkJCtt5rAzW4k42wCptPpMHDgQOHqKZhMJrE/dOhQu9fQcev2BPUk1taeuHLlioiBRUbK6YmpbX5+voi/KWzbtk08m4L6TCMpTJOtI7UHEN4Tp0T8K8syiTvQU3YL6yMqiBIaqmtxI3kwK+OEvZDkln3yySf4/PPPRe8gBdxLSkpEryQxYcIE4b4pzJgxQ/Qgvvfeezhz5gzmzZuHQ4cOYdq0aeI8jeWiHsr9+/fj0qVLQuz+/Oc/Iz4+XgT7Ceq9pDgZ9X7SmLM9e/aI68n1jIqKar6/hrugWF/tegBaL5xML4Da7D7GBcU1+DaUE8zToz4BYwuMcaIY2Lhx45CdnY05c+aIAHr//v2FQCmB+pSUFNE7qHDzzTdjzZo1eO211/Dqq6/ihhtuwIYNG9C7d29xnlzS48ePC0EkK4sE6a677hLDLcgNVFi9erUQLYqJ0f0ffvhhfPDBB83zV3A3rNxHmkJEPZAaP1l8ugQ2LP5F0FgxciPTK+2MBVOGUuSbx5oxjLME8UlIFAuqOhR4r87YsWPFYg9vb29s2bKl3mdSjyMJIdMMZJ2W1xG9kF5Qhny9AT5hGeJQ95DujboVBfKv5NsZjc+DWZlWgOdCuiO55+V1WFc5gA8JWm9ZfLqFdGvUrUQg39wTyS4k09qwgLkbJhOQZxaw0C7CfVR5FMCkLoGHygPxQfGNup0YC1ZZ11iwfKCMBxEzLQMLmDv2QFaWATReK6gTktIKoPFKswTwdRpKk9Nw5LFgsoBl6q2Gy3j6A+bakZa8YwzTzLCAuRu58tg6hMQCao08hcirafGvqtH4sguZV5aHcmN5TSuM3UimhWABczdyzsrr0HhcLSjD1cIyaLzSmyxgYiyYyRuSSSv2eU4k05qwgLkbaebBwBG9sesPeeS8l+/VJgtY+0AvqFUqixVmNysFCxjTQrCAuRup5uwdnW7CThIwtR6V6rwm9UASWo0a7QNqyQumWGDXLjXHmzNMDVjA3Amq1Uh5wKCCFD0Ie87nQGOOf0X7RSNA17T5oiKQb68nMtTco5md3AwvzzA1YQFzR+srvCcuFnuIAaw6n6YH8O0F8tOLrRJMhveQ13kXgEqr4D7DNBMsYO4oYB0TcCxVzjwRHJxz/QIW7A1ThVxH8ny+eYwZ4R8J0MRwyVjVecAwzQgLmDuRai6+0vEmi4CpPZveA6kQHeQDU5mcOeRs/tmqIreUVz/cfN/sM9f37gxjBxYwd4FcuPSj8nbHBBy4kAeoDCgypjWTBRYm8oKVGEps3ch25vtm2hZxYZjmgAXMXUg/BhgrAJ8wXDRFIDmzCDrvDJhgRIhXCCJ8bNN+NzYGRkVuUSHf449rf1Sd7DBYXl/ee90fgWGqwwLmdsMnhmBzkjzYNLaDHP/q265vg8qo1UZUkJdYG0plATuTZ+Uuxt5WNf6snOt4Ms0LC5gbBvB3n5MHsPoHyu5jv3b9ruvWPjoPUeTWWCZPHTqec9x2MCul1jFVVr0DwzQTLGDugMloEQ9D1GAcvnxNpNDJNvzRLAKmuJHGUnng6onsEyJRooAsuxizFXbp1+t+DsNYwwLmDpz9L1CSDXgF4YQUizKDCcFBucgrz4anxhO9w+TsuNeDGAtW1h4eKh0KKwpxufByTTfyIgsY07ywgLkDv30qr2+cgJ3ni8RmdJQ8veemyJvg7UFB+OuDeiIpwW+QJkbsJ+UmVZ2MuVVeUy9oufx8hmkOWMDaOhUlwIWdYlMa8Ff8cFwe4lDpJcephkUPa5bHxIb5ys8oN48Hu3bWdk4kxcJoQGvK/mZ5HsMQLGBtncv7AJMBCOyEM4YInM8ugadPFtJK/xAZWEd2HtksjxkUEyzW2XkhNYdS2LiRu5rleQzTZAFbvnw5YmJi4OXlJeoyUqmzuli/fj26d+8u2lPl7R9//NFyzmAw4OWXXxbHfX19RVUiKs2Wnm41GJK8kJgY0dVvvSxcuJC/xfo4v01exw3HDyfkeY8xneWiHsM6DEOod2izPKZruD8CvDxQVhJhGZFvAwfyGWcQsLVr14rakHPnzsWRI0fQr18/Ub+xeuVshb179+LRRx/FpEmTcPToUYwZM0YsJ0/KI7P1er24z+uvvy7W3377LZKTk/HAAw/UuNcbb7yBjIwMyzJ9+vSmfGb3oUIP/P612JRu+BM2/i4LmMlLHqd1d+zdzfYotVqFQTEhMJZHWLJSFJRTwZBqAkYl3SgrBsM4QsAWL14sCsxSIduePXsiMTERPj4+WLFihd32S5cuFUVpqXgtFaileo833ngjPvzwQ3E+MDBQVOp+5JFH0K1bNwwZMkScoyrcVGPSGn9/f7Rv396ykMXG1MGRz4HSPBGDOuF3C1Ly9PD20uNq2UVLAL85GRwTIrKzeiFc7P+eba4/SQRGA9EDAZonefTLZn0u4740SsAqKiqEsIwcWRU3oSKztL9v3z6719Bx6/YEWWy1tScKCgqEixgUJKdoUSCXMTQ0FAMGDMCiRYtQWVlZ6z3Ky8tRWFhos7gVRZnA9rfk7VtnYuMJ2erpHV+VfZWmEDUng81xsIriWLE+mFEttDD4aXl95EtAGSfGMK0lYDk5OTAajZYq3Aq0T1W67UHHG9O+rKxMxMTI7QwIqEqw9/zzz+Obb77B9u3b8cwzz+Ctt97CP//5z1rfdcGCBcK6U5aOHc0FJtyFA4lAeSEQNQCGftT7SO6jhBJPuUdyeIfhzf7IPh0CofNQo6TALGBXqwlYzz/L1ZAoqSJnaWXaWi8kBfTJlaRR3B9//LHNOYq73X777ejbty+effZZvPfee1i2bJmwtOwxe/ZsYckpS2qqG5X2qqyoctNu/QfWH8lARkEZQkKvIFWfDC+NFx7r8VizP9bTQ4P+HYJg1MdZ5kTaxMF0vrIbSXAwn2ltAQsLC4NGo0FmplXlGcqUkpkpYlL2oOMNaa+I1+XLl0VMzNr6sgf1fpILeemS/X/JPT09xT2sF7fh4L/lkff+kSiLuwvLtsk9gj3i5WSDo2NHN7v7qDA4NhhSZQB8VVGQIOHQ1UO2DWLN487MY9MYptUETKfTYeDAgdi6davlmMlkEvtDhw61ew0dt25PkEBZt1fE6+zZs/jll19EnKs+jh07JuJv4eFywJgxQ1Wwd74tb9/xKlYfkq2v9oFapJbL8yHvjmm+3ke7gXwyAku6iPWBq9UmcMeb46F/bObsFEzru5Dkyn3yySf4/PPPcfr0aTz33HMoKSkRvZIEjeEi901hxowZ2Lx5s3D5zpw5g3nz5uHQoUOYNm2aRbz+8pe/iGOrV68WMTaKj9FCnQYEBfzff/99/P7777hw4YJoN3PmTDzxxBMIDpYDx4yZpG/l2FdYV5T0HI+PtsuFbO8anINr5dcQ7BmMwZHmHF0twI2dg8X87fy8zvYD+R0TgJAuFOkHTm1osfdg3AOPxl4wbtw4ZGdnY86cOUJk+vfvLwRKCdTT0AeyjBRuvvlmrFmzBq+99hpeffVV3HDDDdiwYQN695YnEKelpeF///d/xTbdyxoK2FPci9xBCuCT+FHMKzY2VggYiSljhaEUOPiJ2DT2fwKzv0tCbkkFOoV64WzZV+L42G5joaVAegsR4KVF3+hA/J5BgXwVzhecR05pDsK8w+QGpG4DngC2zgeOfiVvM0wTUUmWvCdtGxpGQb2RFNBvs/Gw/zcZOLFOFNL4uM9avL07Dxq1Co/96RI2pHwsgvc/PfxTlZi0EO//8gfe/+Us2vf4CCVIwdu3vY174u6palCYASzpKY8Jm3YYCDOXX2PcmsIm/EadqheSaSImE/Dre7J4qdQ4e+e/8N5eyvkFzLrfH5uuyNkoXhr0UouLF3FndzkuWZwvZ6bYl1FtzF9AJBD/J3l79+IWfx+m7cIC1hbYOg/Y+obYLEuYhr9u1aHSJGFU72BsznwPBpNBjPt6pNsjrfI6vaMC0c7fE6UFcqXv/176ryj2YcNw8xi+Y6uB0xtb5b2YtgcLmKtzfjuwZ6nYNN45By/lPoCrhWWIaWdCfuAyEYMK9QrF/JvnX1fe+8bOi7yjWzsxHsxPHQl9pR6bLmyybdRhEDBQ7vjB+ieBq1y1iGk8LGCuPFF700vAl2PErjTwKUxLuR0/nMyCWgV06fEzTuWdhL/WH4uGL2q2rBONcyNVMOTL8y3XJa+rSjOtcO97QNfRcr78H16QXWGGaQQsYK461uuLB4Df5B5HKbI/3jZNwE8nr0KnUWPiqAwczN4OjUqDT+76BIPbt9ywidq4vVs4Ar21yMnoC61Kh+RrybaTuwm1BrhvMaDzB678BhxZ1ervybg2LGCuRt4F4NMR8g/eKwjSuK/wZvsPkLgvA1BV4oFhF/BtyjLR9Ll+z6FXWC+HvKaXVoNHBnUATD4IkhLEsU9PmFNbWxMQBdz5mry97X/kDLIM00BYwFwJcsE2TAVy/gD8IiBN2IAlqV2xYt8VqDR6dBvwBbZcTYRJMuHB+Acxpe8Uh77uwwM7iHXapaFQq9TYeWWnba586ywVwbGAPhc4tLL1X5RxWVjAXClY/8mdQMpeQOuD0/f8B49vKscH285B43MO7bovQXrpH6JAx6Tek/D60NdbLWhfG90i/BET6oPy0lD0DbpDHEv8PbFmQ40HcJt5UPLeDwBDWSu/KeOqsIC5Qk3HfR8BXz4IpB+B5OGNPd1m44HVV7D3fC68ApIREPMFSk1FiA2MxZejv8QLA19o0dH2DYUE9N6+cpGPC2eHCCtsR+oO7Ey1M5G773i5AG5xJnDANhMJw9QGC5gzo88DVv8F2EJzSyWY+j2Od3usx+OHusCku4j2PRKhjV6JSqlC5Lf/z/3/QbcQeeyVs/DM8C6iZmRatj86aUaJY3P2zhHTi2zw0AG3v1IVCzu62gFvy7gaLGDOSGYSsGY8sKSXKMpBVtd3EdPR99gD+OhoCrw7fA6fmESU4JLoabwv7j4suX0JdBodnA2aG/neI/3EFMgTJ29GpHcs8sryMGfPnJrDKvo/DvR6UB5W8f3fgd1LHPXajIvAcyGdgfxUIPlHIPMkUFkOnPiPXEMRQK5vPCYVjUeSXy7U2jzo/M8C2hyooMKDNzyI5wc83+pjvJrCgp9O4187LyA4KAeq6A9gMFXgxYEv4sneT9o2NFbK6YB2vSPvj34HuOkZh7wz4/y/0UZno2CagZxzQFaSnD2CgvMn1lsES+Fiuzvxue4hrL52Ep4xa+Glqco82867HRL/lIiuwV3hKvzjT13x6x85OJUB9Ix4GKnqr/He4fcQ6BkohNgmoH/n/5G3ScR++qecHujm5wEPT4e9P+OcsAXW0lCPmj5HzsBw5gcgZR+QWi3JH9EhARVRg3EyrRDLszpgt3cqPPxPQq3LE6dJrCjORRkl7utyH6L9ouFqnM0swn3LdqO80oiEgbtxWr9JWJITe03E1P5T4eXhVdWY/rf872vAPrl6FYJjgBFzgZ5jaK6Swz4D41y/URaw64X+fIXp8gDTkiy57mHaESD/MlCSC1SfxExVlzy0SA/phkyTFn6lxdjmFY2N3tHIM6TCZNJB450KlaZUtA3QBuOlwTPxQJcHoKGR6y7Oqj0XMW/jKdEp0SF+Mwq0co9kJ/9O+L+3/l/0D+9v+7elyd5b3wSKzUVgQuOBYf8E+j4i5xZj2gwsYM0tYDQqnALqFJvKOiOGMQhLwCdUPpdxDMi7KGcXrQb9UfPUaqRoPXBF54l0b39c0AXjMDTI1ObX+2j6QT/T7xnc2fFO+On80Fag/93WHUrF/2w6jaKySgSHnYVv9PcoqMgRQz/euvWtmgV3KfX03mXA/o8BpUhI9CDglueBHg+wkLURWMCa849zbA1yN05HoRrI0HjgitYDuRo1ulQY4ClJOKvToUitQpFajSKNBgVaHxSoVMhTe6JC5YFilQEVKvsVkwQmLdQqLaCqQKhnNOL8+mNIh34I89MK93BA+AB4qNtuiDIlV4/nVh9GUnoh1Joy9OjzI1LK5fTT98bdi6d6PVVzSEh5EbA/UQ7ymwzyMXIpBz0FhPcEfMLYvXRhWMCa449DMauSLHz5xUi8E3h9QWNJUkEyBMJkCBPrYM9wDIiMxbSh96NnuDzNxp0pMxgx9/skrD1EJe9MCOqwGUb/XZbzN0fdjHHdxonYn42Yk8t+aIU8zIKGXCj4RwHd7wFibgVibgN8Wz55I9N8sIA1wx8nO3kLvv3paXwYXFUV3FgWAcnoL0RI7ZUOlcoAH8RCC38UlHhAZfKGt8YXMSFh6BIaBq1GAy+NL0K0UdBqPGE0SRjRIxzx4f6t9Gldi03HM/DOljO4nKuH2usKdCG7oA04Qf93ivMRPhG4K+Yu3Bp1K7qGdK3KKpt6UC7gm3IAKLxie1OVRi4g0q47EHsb0OlmWdA0jp+hwNiHBawZ/jgbti7F6+YUzD4GHebctAHdIoJEvIbyy5dXmtA51Afh/nKPmckkiRCMo+cdujoGowlrDqTgq/2XcT67GJJHLrRBB6ENOgS1h21HSHxQPIZEDhEB/95hvRHlGwUVjZ87vxW4uAu4+Ks8TKU6ZMWFxAG+7YB23YCwbkBwZyCwg7x4BXE8zR0EbPny5Vi0aJGoStSvXz9RITshQU6ZYo/169fj9ddfF0VoqSrR22+/jXvuqSryQK8wd+5cUa4tPz8ft9xyi6jMTW0V8vLyMH36dGzcuFFUPXr44YexdOlS+Pn5NesfZ93xfXj/t09QZMjB/TGP4a27xzf478I0D7nF5diSlIkfT2Rg74WrUPuehoffaWi8U6DS5UJltswUvDV+CNSFINwnHD3DuiLCtx0CyvUIKM5BeGEmYtNOIJg6Y+pD61slZrSExMqdNhpPeQyap7/tQp0rbaBn2K0EbO3ataL2Y2JioqiOTfUaSaCSk5PtFpndu3cvhg0bhgULFuC+++4TJdZIwI4cOWIprUb7dJ5qTVLJNBK7EydO4NSpU/Dyki2d0aNHIyMjA//6179ELUmqQzl48GBxv5b64zCOJ0eI2VXhZh66fA0GqQgan/PQ+J6HxusK1F4ZUKnqz+SqU/khUB2IILUWWqkSHqZS+FeWI6iyHIEGPYIqSuBvkuBtMolOGi9Jsll7mmyP6SQJWkmCh84PKkXQtD4AjWWrLnYkdHROS+e8AK13zTWJJFl/JIgqtbyQxUjTw+h+dJ7cX6rkRBP8qZ9b7WFuo5XX4jrXtSBbRcBItEg4PvzwQ0tl7o4dOwrr6JVXzJNxq9WRpMK3P/zwg+XYkCFDRA1IEkF6fFRUFF588UW89NJL4jx9AKozuWrVKowfP14U0O3Zsyd+++03DBo0SLShWpRkxV25ckVcXx8sYK4PxRIzCkpFrIyW1Gt6pOUX4nLhZeToryGv4ipMHplQaUoATSlU6lKotdeg1tU/bKWpqISQAVrIgiYLG2RxQ9W2BhLUEkD2mhoSNKQ/5snIanHeak0TEiQJJEU2x8X1kvm8fB9lW/kRm0jEoIKkoiHCsqDRf3RMETjliDhmOUvnlT3bdVUrc6hEPEMtH5dMUEsmeqL85iq1eAd6vlGlhpBaqRKjRy1D55javbRWmUpElbIPHz5sU3mb3LmRI0eK6tn2oOPVC9COGjVKFLclLl68KFxRuocCfQgSSrqWBIzWQUFBFvEiqD09+8CBA3jwQaupKGaoAC4t1n8cxrWhGGSHYB+x3GJTSlL+YdA/hoWllcgoLMXVgjJkFpaJ/aJyPTJL05Cpz0R+WQFKDSYRcys36lEh6WGQilEJPYzQi2EtUFeKjhqoDYDKYN6uOmZt8dEPtUIFVJh/4K6LVG3dvMSmn61XwJpCowQsJycHRqPRUoVbgfbPnDlj9xoSJ3vt6bhyXjlWV5vq7qmHhwdCQkIsbapDLun8+fMb8/EYF4esg0AfrVi6t6/+L7gcrqgLEsAKownFZZXQVxjFNgmdoVKybJMVWFZpQJmhHOXGCpRVVqDCaEB5ZQXKTRWooLWxAgZTpThuMBpQYapApckoMuWaJHltlEyUIEnepnPmbYnawAijic5LkKg9/WeqhEqqRKW4io6TiBqFdUPzaGUrySQsQmENifvTtknMaJAtJDpvsvTuymJFbeV9SRyX24oj4nh1YTPZrIXtpZLPys+QLU2VxboURxAQ2jJpntrsSEmyEq0tP7LAyNVlmLoE0NNDA08/DZw/vwdDNGrYclhYGDQaDTIzM22O03779u3tXkPH62qvrOtrk5WVZXO+srJS9EzW9lxPT0/hR1svDMO4sYDpdDoMHDgQW7dutRyjID7tDx061O41dNy6PfHzzz9b2lOvI4mQdRuylii2pbShNQ2voPibwrZt28SzKVbGMIybIjWSb775RvL09JRWrVolnTp1SpoyZYoUFBQkXb16VZz/61//Kr3yyiuW9nv27JE8PDykd999Vzp9+rQ0d+5cSavVSidOnLC0WbhwobjH999/Lx0/flz685//LMXGxkqlpaWWNnfffbc0YMAA6cCBA9Lu3bulG264QXr00Ucb/N4FBQXCQac1wzDOR1N+o40WMGLZsmVSp06dJJ1OJyUkJEj79++3nBs+fLg0ceJEm/br1q2TunbtKtr36tVL2rRpk815k8kkvf7661JERIQQxxEjRkjJyck2bXJzc4Vg+fn5SQEBAdJTTz0lFRUVNfidWcAYxrlpym+UpxIxDOOyv1HOPcIwjMvCAsYwjMvSZseBVUfxlHlEPsM4J8pvszFRLbcRsKKiIrHmwawM4/y/VYqFNQS3CeLTmLH09HT4+/vXm7tLGbWfmpraZgL+be0ztbXPQ7j7Z5IkSYgXJWegec4NwW0sMPqDdOjQuDTObXEEf1v7TG3t87j7ZwpsoOWlwEF8hmFcFhYwhmFcFhawWiaCU4prWrcV2tpnamufh+DP1HjcJojPMEzbgy0whmFcFhYwhmFcFhYwhmFcFhYwhmFcFhYwO0V7Y2JiRD1KyvZ68OBBuApUyIRK3tFsAyqCMmbMGFGv05rbb79dzESwXp599lk4K/Pmzavxvt27d7ecLysrw9SpUxEaGiqKHFPB4+rpyZ0N+v+r+meihT6Hq3xHu3btwv333y9GzdP7KVXGFKhvcM6cOYiMjIS3t7eoInb27FmbNpQS/vHHHxcDXKnq2KRJk1BcXNyo92ABq1a0lwqBULcvFd6lquNUAq56Pn5nZefOneJHsH//fpG2mwoA33XXXaIupzWTJ08WRYKV5Z133oEz06tXL5v33b17t+XczJkzRbV2Kq5Mn5+miz300ENwZqi+qfXnoe+KGDt2rMt8RyUlJeL3Qf/g24Pe94MPPhC1Xyk9vK+vr/gt0T84CiReSUlJ4vNT3VgSxSlTpjTuRVouv6LrQdllp06datk3Go1SVFSUtGDBAskVycrKEhkud+7caZMxd8aMGZKrQCnI+/XrZ/dcfn6+SE++fv16yzFKW06fed++fZKrQN9Hly5dRGZiV/yOAEjfffedZZ8+R/v27aVFixbZfFeUbfnrr78W+5SOnq777bffLG1++uknSaVSSWlpaQ1+Nltg1Yr2WhfYra9or7NDmS0Jqp9pzerVq0WFqd69e4vyc3q9Hs4MuR7kqsTFxYl/tVNSUsRx+r7IyrT+zsi97NSpk8t8Z/T/3VdffYW//e1vNkkGXO07sqa+YtVEfcWqG4rbTOZuiaK9zp5944UXXsAtt9wifgQKjz32GDp37iwE4fjx43j55ZdFnOzbb7+FM0L/069atQrdunUTrhQVK77ttttw8uRJ8SOhSln0Q6itKLKzQ7Ejqrj15JNPuux3VJ2WKlZtDxawNgrFwuhHbh0vIqxjDH369BFB1hEjRuD8+fPo0qULnI3Ro0dbtvv27SsEjX7c69atE8FhV+ezzz4Tn5HEylW/I0fCLuR1FO11VqZNmyaCotu3b683hZBSV/PcuXNwBcja6tq1q3hf+l7IBSMLxhW/s8uXL+OXX37B008/3aa+o/YtVKzaHixg11G019mgeCqJ13fffScK/1LR4Po4duyYWNO/8q4AdbOTJULvS9+XVqu1+c7I1aIYmSt8ZytXrhRu1L333tumvqPY1ixW3WxdEW2A+or2OjvPPfecFBgYKO3YsUPKyMiwLHq9Xpw/d+6c9MYbb0iHDh2SLl68KAoJx8XFScOGDZOclRdffFF8HnpfKpI8cuRIKSwsTPSwEs8++6yoUbpt2zbxuYYOHSoWZ4d6uOm9X375ZZvjrvIdFRUVSUePHhULycjixYvF9uXLl1utWDXBAtaIor3ODv2PZG9ZuXKlOJ+SkiJ+CCEhIUKo4+PjpVmzZjl1sd9x48ZJkZGR4vuIjo4W+/QjV6AfxN///ncpODhY8vHxkR588EEh2s7Oli1bxHdTvYCzq3xH27dvt/v/mlLUujWKVROcTodhGJeFY2AMw7gsLGAMw7gsLGAMw7gsLGAMw7gsLGAMw7gsLGAMw7gsLGAMw7gsLGAMw7gsLGAMw7gsLGAMw7gsLGAMw7gsLGAMw8BV+f80+Zm/F3C9QgAAAABJRU5ErkJggg==", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def ding_example2a():\n", " \"\"\"Ding, M., Chen, Y., and Bressler, S.L. (2006). 17 Granger causality:\n", " basic theory and application to neuroscience. Handbook of Time Series Analysis:\n", " Recent Theoretical Developments and Applications 437.\"\"\"\n", " sampling_frequency = 200\n", " n_time_samples, n_lags, n_signals = 500, 2, 3\n", " coefficients = np.zeros((n_lags, n_signals, n_signals))\n", "\n", " coefficients[0, :, :] = np.array(\n", " [[0.8, 0.0, 0.4], [0.0, 0.9, 0.0], [0.0, 0.5, 0.5]]\n", " )\n", " coefficients[1, :, :] = np.array(\n", " [[-0.5, 0.0, 0.0], [0.0, -0.8, 0.0], [0.0, 0.0, -0.2]]\n", " )\n", "\n", " noise_covariance = np.eye(n_signals) * [0.3, 1, 0.2]\n", "\n", " return (\n", " simulate_MVAR(\n", " coefficients,\n", " noise_covariance=noise_covariance,\n", " n_time_samples=n_time_samples,\n", " n_trials=500,\n", " n_burnin_samples=500,\n", " ),\n", " sampling_frequency,\n", " )\n", "\n", "\n", "plot_directional(*ding_example2a())" ] }, { "attachments": { "image.png": { "image/png": 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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "## Ding Example 2b\n", "\n", "> Ding, M., Chen, Y., and Bressler, S.L. (2006). 17 Granger causality:\n", " basic theory and application to neuroscience. Handbook of Time Series\n", " Analysis: Recent Theoretical Developments and Applications 437.\n", " \n", "$$ x_1 = 0.8x_1(n-1) - 0.5x_1(n-2) + 0.4x_3(n-1) + 0.2x_2(n-2) + w_1 $$ \n", "$$ x_2 = 0.9x_2(n-1) - 0.8x_2(n-2) + w_2$$\n", "$$ x_3 = 0.5x_3(n-1) - 0.2x_3(n-2) + 0.5x_2(n-1) + w_3$$\n", "![image.png](attachment:image.png)\n", "\n", "> dashed curves showing the results for the first model and the solid curves for the second model" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def ding_example2b():\n", " \"\"\"Ding, M., Chen, Y., and Bressler, S.L. (2006). 17 Granger causality:\n", " basic theory and application to neuroscience. Handbook of Time Series Analysis:\n", " Recent Theoretical Developments and Applications 437.\"\"\"\n", " sampling_frequency = 200\n", " n_time_samples, n_lags, n_signals = 500, 2, 3\n", " coefficients = np.zeros((n_lags, n_signals, n_signals))\n", "\n", " coefficients[0, :, :] = np.array(\n", " [[0.8, 0.0, 0.4], [0.0, 0.9, 0.0], [0.0, 0.5, 0.5]]\n", " )\n", " coefficients[1, :, :] = np.array(\n", " [[-0.5, 0.2, 0.0], [0.0, -0.8, 0.0], [0.0, 0.0, -0.2]]\n", " )\n", "\n", " noise_covariance = np.eye(n_signals) * [0.3, 1.0, 0.2]\n", "\n", " return (\n", " simulate_MVAR(\n", " coefficients,\n", " noise_covariance=noise_covariance,\n", " n_time_samples=n_time_samples,\n", " n_trials=500,\n", " n_burnin_samples=100,\n", " ),\n", " sampling_frequency,\n", " )\n", "\n", "\n", "plot_directional(*ding_example2b(), time_halfbandwidth_product=2)" ] }, { "attachments": { "image.png": { "image/png": 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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "## Ding Example 3\n", "\n", "> Ding, M., Chen, Y., and Bressler, S.L. (2006). 17 Granger causality:\n", " basic theory and application to neuroscience. Handbook of Time Series Analysis:\n", " Recent Theoretical Developments and Applications 437.\n", " \n", "$$ x_1 = 0.95\\sqrt2x_1(n-1) - 0.9025x_1(n-2) + w_1 $$\n", "$$ x_2 = 0.5x_1(n-2) + w_2 $$\n", "$$ x_3 = -0.4x_1(n-3) + w_3 $$\n", "$$ x_4 = -0.5x_1(n-2) + 0.25\\sqrt2x_4(n-1) + 0.25\\sqrt2x_5(n-1) + w_4 $$\n", "$$ x_5 = 0.25\\sqrt2x_4(n-1) + 0.25\\sqrt2x_5(n-1) + w_5 $$\n", "\n", "![image.png](attachment:image.png)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def ding_example3():\n", " \"\"\"Ding, M., Chen, Y., and Bressler, S.L. (2006). 17 Granger causality:\n", " basic theory and application to neuroscience. Handbook of Time Series Analysis:\n", " Recent Theoretical Developments and Applications 437.\"\"\"\n", " sampling_frequency = 200\n", " n_time_samples, n_lags, n_signals = 1000, 3, 5\n", " coefficients = np.zeros((n_lags, n_signals, n_signals))\n", "\n", " coefficients[0, 0, 0] = 0.95 * np.sqrt(2)\n", " coefficients[1, 0, 0] = -0.9025\n", "\n", " coefficients[1, 1, 0] = 0.50\n", " coefficients[2, 2, 0] = -0.40\n", "\n", " coefficients[1, 3, 0] = -0.50\n", " coefficients[0, 3, 3] = 0.25 * np.sqrt(2)\n", " coefficients[0, 3, 4] = 0.25 * np.sqrt(2)\n", "\n", " coefficients[0, 4, 3] = -0.25 * np.sqrt(2)\n", " coefficients[0, 4, 4] = 0.25 * np.sqrt(2)\n", "\n", " noise_covariance = np.eye(n_signals) * [0.6, 0.5, 0.3, 0.3, 0.6]\n", "\n", " return (\n", " simulate_MVAR(\n", " coefficients,\n", " noise_covariance=noise_covariance,\n", " n_time_samples=n_time_samples,\n", " n_trials=500,\n", " n_burnin_samples=500,\n", " ),\n", " sampling_frequency,\n", " )\n", "\n", "\n", "plot_directional(*ding_example3(), time_halfbandwidth_product=1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Nedungadi Example 1\n", "\n", "> Nedungadi, A.G., Ding, M., and Rangarajan, G. (2011). Block coherence: a method for measuring the interdependence between two blocks of neurobiological time series. Biological Cybernetics 104, 197–207." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def Nedungadi_example1():\n", " \"\"\"Nedungadi, A.G., Ding, M., and Rangarajan, G. (2011).\n", " Block coherence: a method for measuring the interdependence\n", " between two blocks of neurobiological time series. Biological\n", " Cybernetics 104, 197–207.\n", " \"\"\"\n", " sampling_frequency = 200\n", " n_time_samples, n_lags, n_signals = 500, 1, 3\n", " coefficients = np.zeros((n_lags, n_signals, n_signals))\n", "\n", " coefficients[0, :, :] = np.array(\n", " [[0.1, 0.0, 0.9], [0.0, 0.1, 0.9], [0.0, 0.0, 0.1]]\n", " )\n", "\n", " noise_covariance = np.array([[0.9, 0.6, 0.0], [0.6, 0.9, 0.0], [0.0, 0.0, 0.9]])\n", "\n", " return (\n", " simulate_MVAR(\n", " coefficients,\n", " noise_covariance=noise_covariance,\n", " n_time_samples=n_time_samples,\n", " n_trials=1000,\n", " n_burnin_samples=500,\n", " ),\n", " sampling_frequency,\n", " )\n", "\n", "\n", "plot_directional(*Nedungadi_example1(), time_halfbandwidth_product=3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Nedungadi Example 2\n", "\n", "> Nedungadi, A.G., Ding, M., and Rangarajan, G. (2011). Block coherence: a method for measuring the interdependence between two blocks of neurobiological time series. Biological Cybernetics 104, 197–207." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def Nedungadi_example2():\n", " \"\"\"Nedungadi, A.G., Ding, M., and Rangarajan, G. (2011).\n", " Block coherence: a method for measuring the interdependence\n", " between two blocks of neurobiological time series. Biological\n", " Cybernetics 104, 197–207.\n", " \"\"\"\n", " sampling_frequency = 200\n", " n_time_samples, n_lags, n_signals = 500, 1, 3\n", " coefficients = np.zeros((n_lags, n_signals, n_signals))\n", "\n", " coefficients[0, :, :] = np.array(\n", " [[0.1, 0.0, 0.9], [0.0, 0.1, 0.9], [0.0, 0.0, 0.1]]\n", " )\n", "\n", " noise_covariance = np.array([[0.9, 0.0, 0.0], [0.0, 0.9, 0.0], [0.0, 0.0, 0.9]])\n", "\n", " return (\n", " simulate_MVAR(\n", " coefficients,\n", " noise_covariance=noise_covariance,\n", " n_time_samples=n_time_samples,\n", " n_trials=1000,\n", " n_burnin_samples=500,\n", " ),\n", " sampling_frequency,\n", " )\n", "\n", "\n", "plot_directional(*Nedungadi_example2(), time_halfbandwidth_product=3)" ] }, { "attachments": { "image.png": { "image/png": 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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "## Wen Example 1\n", "\n", "> Wen, X., Rangarajan, G., and Ding, M. (2013). Multivariate Granger causality: an estimation framework based on factorization of the spectral density matrix. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 371, 20110610–20110610.\n", "\n", "![image.png](attachment:image.png)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def Wen_example1():\n", " sampling_frequency = 200\n", " n_time_samples, n_lags, n_signals = 500, 4, 5\n", " coefficients = np.zeros((n_lags, n_signals, n_signals))\n", "\n", " coefficients[0, 0, 0] = 0.55\n", " coefficients[1, 0, 0] = -0.70\n", " coefficients[0, 1, 1] = 0.56\n", " coefficients[1, 1, 1] = -0.75\n", " coefficients[0, 1, 0] = 0.60\n", " coefficients[0, 2, 2] = 0.57\n", " coefficients[1, 2, 2] = -0.80\n", " coefficients[1, 2, 0] = 0.40\n", " coefficients[0, 3, 3] = 0.58\n", " coefficients[1, 3, 3] = -0.85\n", " coefficients[2, 3, 0] = 0.50\n", " coefficients[0, 4, 4] = 0.59\n", " coefficients[1, 4, 4] = -0.90\n", " coefficients[3, 4, 0] = 0.80\n", "\n", " noise_covariance = np.eye(n_signals) * [1.0, 2.0, 0.8, 1.0, 1.5]\n", "\n", " return (\n", " simulate_MVAR(\n", " coefficients,\n", " noise_covariance=noise_covariance,\n", " n_time_samples=n_time_samples,\n", " n_trials=500,\n", " n_burnin_samples=500,\n", " ),\n", " sampling_frequency,\n", " )\n", "\n", "\n", "plot_directional(*Wen_example1(), time_halfbandwidth_product=1)" ] }, { "attachments": { "image.png": { "image/png": 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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "## Wen Example 2\n", "\n", "> Wen, X., Rangarajan, G., and Ding, M. (2013). Multivariate Granger causality: an estimation framework based on factorization of the spectral density matrix. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 371, 20110610–20110610.\n", "\n", "![image.png](attachment:image.png)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def Wen_example2():\n", " sampling_frequency = 200\n", " n_time_samples, n_lags, n_signals = 1000, 4, 5\n", " coefficients = np.zeros((n_lags, n_signals, n_signals))\n", "\n", " coefficients[0, 0, 0] = 0.55\n", " coefficients[1, 0, 0] = -0.70\n", " coefficients[0, 1, 1] = 0.56\n", " coefficients[1, 1, 1] = -0.75\n", " coefficients[0, 1, 0] = 0.60\n", " coefficients[0, 2, 2] = 0.57\n", " coefficients[1, 2, 2] = -0.80\n", " coefficients[1, 2, 0] = 0.40\n", " coefficients[0, 3, 3] = 0.58\n", " coefficients[1, 3, 3] = -0.85\n", " coefficients[2, 3, 0] = 0.50\n", " coefficients[0, 4, 4] = 0.59\n", " coefficients[1, 4, 4] = -0.90\n", " coefficients[3, 4, 0] = 0.80\n", "\n", " coefficients[0, 2, 3] = -0.50\n", " coefficients[0, 4, 3] = -0.50\n", "\n", " noise_covariance = np.ones((n_signals, n_signals)) * 0.5\n", " diagonal_ind = np.arange(0, n_signals)\n", " noise_covariance[diagonal_ind, diagonal_ind] = [1.0, 2.0, 0.8, 1.0, 1.5]\n", "\n", " return (\n", " simulate_MVAR(\n", " coefficients,\n", " noise_covariance=noise_covariance,\n", " n_time_samples=n_time_samples,\n", " n_trials=200,\n", " n_burnin_samples=100,\n", " ),\n", " sampling_frequency,\n", " )\n", "\n", "\n", "plot_directional(*Wen_example2(), time_halfbandwidth_product=3)" ] }, { "attachments": { "image.png": { "image/png": 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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "## Dhamala Example 1\n", "\n", "> Dhamala, M., Rangarajan, G., and Ding, M. (2008). Analyzing information flow in brain networks with nonparametric Granger causality. NeuroImage 41, 354–362.\n", "\n", "![image.png](attachment:image.png)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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wgWkepGncuHHyv//9Tx37119/XQX8d9xxh2mfmzRpIh9++GGxdevHbuzYsZKYmKiO7f33318suHRk+7gG7rzzTtPxv+yyy2TTpk2m73EM27RpI5MmTVLrwLGiwMdxDomIiMhvFBQapUDTJL9QE+8WfjlWYocABTf7q1evlrVr18pdd92lBq0eOXKkupl/9dVXVQCAoHDUqFHqxt88OCspKytL3nrrLXXDjqCgVq1a6u+SJUvkuuuuk2XLlpne6/AagaolCCoQkC1dulQFKAg2EQjqwQMCBgQQ77//vho8/qmnnpIbbrhBFi5caHO/EZwg2Hr77bdl8ODBkp6ertKmB8awYMECFXDoQdttt92m0o4gCRAYfv311zJ+/Hhp1KiRSuOwYcNUMIPA7siRI9K9e3e1b0gPApy///5bjfv2+OOPy7///itpaWny5ZdfqvXFx8fLoUOH1OtnnnlG3n33Xbn44otVGnJycqRdu3Zq/7Ce33//XQXCDRo0kI4dO4qzhg8froJo7BvGoMO5NQ/8zQOwN998UwVtYWFhKiDGOZ05c6Y6FitWrFDXDIJAHHfdokWL1Gf4u3v3bhkyZIgK5HBdObr966+/XgWPc+fOVQ8vJkyYIJdffrns2rVLHSvAun/88Uf56aefOC5kkGBwSEREROQhSUlJKrBCKRGCwC1btqj3uIm//fbbTfPVr19fPvroI1WqlZGRYQrQSkJA+dlnn6lSNB0CJAQBCA7xF0EWgscdO3ao4AYBxpNPPmlxfQcPHpRrr71WlZTp6dB98sknKnh64403TJ9NnjxZ7RMCiMaNG9sMDhGkXXPNNVKnTh31mb4N8yquWB9K6lBi+corr8gTTzyhAmbsJ7b7119/SZcuXUxpW758uQpiEBx++umnKqj59ttvTYOAm6cJgU9ubq4qlS3poYceUmkzh4BS9+CDD8off/yhShidDQ5x3JHuNWvWqJJhwPlAgFsSSotxvsyhNFWHEruVK1eqdJgHhyjpxflBwNa0aVNVSohgG9eVI9vHccQDCwSMKIEGlETOnj1blc4iIAU8OPjqq69UQE7BgcEhERERkYd07ty5WPs+BDoosUL1wY0bN6qSI1TlS0lJMbUfRMCGaqOWIKBq1apVsc8QKH3++eemUkIEVQjeECiimikCrW7dullcH4Kke++9V/78809V7ROBor5+pAslU5YCVVTdtBUcInhFKRQCwr59+8oVV1yhglcENebzIDA0PzYIjFG6h78oJe3Tp0+x9SJYQcAKOH6oRqoHhs5AKaE5nA8cNwRhKJHEdhBYmqfPUTt37lSlgG3btjV91rBhw2L7rtODN3MIehE04zpAaS3SglJBcwimzUvyUIqIBw+Obh/nFscYpZPmsD2cWx0CewaGwYXBIREREVEZQzVGBE2Y0OYNN+AIBvDeVscfKA0r2ZmMPsTCf//9p6qFon0hSo8QHCLoRABiLchBlVFsE9UoESCiKieCV5ScIXhAe0RUYy0JwYgtCFzmz5+vSi2x3o8//lieffZZ+eeff1RpmD3YNiBdaAdoTi/pwrFwFarQmnvnnXdU2z5U70RAi+9xTD3dCUvJdKAUFCWYOAcIltGOEmnDcTNXMiDGNeFM50Q4vjiHuEZKQrtWa+mjwMfgkIiIiMhDSt7Ur1q1SlXvQ/CGTlDQ3gzVNAFtEl2BYAalQuh4BiVMKOlDwIigDsGhtfaGOmwfncFgGj16tEycOFEFhyh5QnszdGSCkihnIWBBiSWmF154QZVCzZo1S7V/00uvUFKlB3k4Nkg70oM2bwgCETCjZNQSlHCiTSdKRi2VHqKUFSWCjkBbxYEDB6o2jYBAC6Wv1kpwbUH1YVSp3bBhg6mEEm33cC4cSQeGG7nvvvtMn5mX5Llr+zi3ycnJ6rzi/BLp2FspERER+Y2w0BAJMxgkPNQgYV6cwkMcu4VCcINgCFX90PslStAefvhh1SkNghe837t3r+qBFG3tXIEgDO0OUQKpB4IInFAtEu3QrAVXgNIxtK3bt2+frF+/XlUjbdasmamzGlRLRccyaL+GIAXzoo2cvaALQTGqaSLgxTFAhyboUVVfN6BUDp31oLQTnfC8+OKLqmdX9LaKEjOUoD366KMqAMS2kT4cL7wHzIsOZ9AzK7aDklP0AItjDQh6Nm/erN6jcxZbQ0UgYNdLOtGRzd133y3Hjx8XV6ANIKroot0e2vUhSMNrS6W+ltKBfcFxRnCK3m1x7N29fXyPkkn0eoqSXXQIhH1H6a6rDykoMLDkkIiIiPzGtyM7qZtdtDvzh94T0WskSsfQqQnSi8AQN+q4ScfQFOg1Ex3RoCQHHYJgWANXIABEZyJ6cIgACwEjqmVaa28ICPIQBB4+fFj10nnllVeqDnOgRo0aqiQLPXiizSCCTZT+YR6s3xasC72LopomAjgsh6qSGBZDhzaJCIaQTqwbQSjaYOoQLKO6Laq6IoBGdUccJxwzQHs59FKKTmyw/zi+KDnV9xeds6DaJKrVoholAl+9lLak5557Tm0DVWxRBRfnCIFTamqquAKduCDwxb6hQxzsA4bdsDccBIJSXN/ofRTXCI4JShHRo6g7t491IyBHMIhgH4E75sP8GLKEgpdBM+9T2EchU0FvVPiBIrMhCkS8zqk0eP1QILfNQ6mWPs4aghl/CQ4RqCFYMR9bjopgyA4MlYGAtix56/pB8I3AFL2IIigua97ePnk+b3TXPQFLDomIiIiI3AglmiitRHtQDOuBoURQzRUlc8GwffJfDA6JiIiIyCm2htsAtCNEu8pAtGzZsmLVY0tCUIb2jaj+iqqqaD+JTmbQJtSVYTdc4e3tk/9icEhERETkAZaGCQgUaI+IcQZtfW8L2lv6K7RhtLXvoA9T4i3e3j75LwaHREREROQUDIGAgdWDEXr9DNZ9p8DHoSyIiIiIiIiIwSERERERERExOCQiIiIiIiJng8Nx48ZJq1at1HgZmLp06WJ3UM6ZM2dK06ZN1fgb6E4XA24SEQUy5pVERLadOHFCDcq+fv16Nf377792B5w/c+aMbN26VdatW6eWdXWAeiJyU3BYq1YtefPNN9WPcu3atXLZZZfJwIED1Q/UkhUrVsjQoUPljjvuUAOODho0SE34YRMRBSrmlUREtkVERKi8EsNhYMKDtN27d0t2drbV4SEwLEOVKlXU/BUrVrQ5PxGVQXA4YMAAueqqq6RRo0bSuHFjef311yUmJkZWrVplcf4PP/xQrrzySnniiSekWbNm8uqrr0rbtm3lk08+cTG5RES+j3klEVnTs2dPeeSRR9RrDEr+wQcfiL/A8BMIytwB64mLi1O1JTDVrFlTQkJCVBBoyfHjx9X8CQkJqrdQzB8dHa1KIB2haZrcddddUrVqVenQoYPdoShK4/PPP5ekpCS1P94+v/52jZEftzksLCyUb7/9VjIzM1WVKUtWrlwpvXv3LvYZxlzB57bk5uZKWlpasYmIyB95Kq9kPknk/9asWaMCFn8J6Jzx0ksvSZs2bRwO3FBl1Gg0qgdpliAPRemiOby3FkzqsE7kw7///rs6FrNmzVLV/Fu2bCmegLz4gQcekKeeekqOHDni8fNr7zyXxTVGQT7O4ZYtW9QNTk5OjvoB40eG4n1LkpOTpXr16sU+w3t8bsuYMWPk5ZdfdjZpREQ+w9N5JfNJIv+HUixb8vPzJTw8XAJVVlaWyitDQ0PVhLEDUSpo7VhgbEVzODb43Bbko0ePHpWlS5dK5cqVpXz58moquS5Hg1gEmraWPXjwoEpT//79JTExUXz9GiMqdclhkyZNVFH8P//8I/fee6+MGDFCtm/fLu40evRo1chYnw4dOuTW9RMReZqn80rmkxSsQqb2l6bLH5CQyVeITOrtvWlyP7tpRWnX8OHD1QMiBArvvvuuzSp/BoNBdWj1v//9TwUwqJIOP//8s6pqjuqX9evXVw+GCgoKTMudPXtW7r77bvVQCfOgVOy3336TxYsXy2233abyCKwbE0r09NoHjz/+uKqeiW116tRJzV+yNKp27dqq+ubgwYPl9OnTDp0jLIc0btq0ybRdfFZyHxG4/Prrr6r6/VtvvaUeoCE4RP6J6vbmkO5bbrlFxo4dq44lAr2nn366WHD42Wefqer8OAY4Ftddd52qhvrxxx/LO++8owJFVCnFtvVSRTxoq1evntpu69at5YcffjCtD8cD6UVJY7t27SQyMlKWL19uc7/RoRjgPGHZ/fv3y6233qrakZtD1WJUMdbh9UMPPSRPPvmkxMfHq3Tr56o057nkNYbgFW3gcU2i5PWGG25QVXZLlvhOmzZNLYuqvDfeeKOkp6c7dO7J/4W50oAYT3YAPxQUV+MHPGHChAvmxYVtfsEB3uNzW/Djw0RE5K88nVcyn6SgVZgvBq1QxHg+OPJVaEe8ZMkSFdxVq1ZNnnnmGdUzp63qlrg5R4dWuKFHCdWyZctUgPnRRx/JpZdeKnv27DFVE3zxxRdVgNOvXz918/71119LgwYN1IMolMR17dpVreeFF16QnTt3qmX0apuo+oj5UO29Ro0aqnYD2j6jJA8BFh5soZMsBE8IbObNm6e254ghQ4aoDrWwzF9//aU+Q5BhbR/1gFAP5g4cOKD2EUEgghdA+z0cyzp16siiRYtUZzT4Du8R8KHzLwRXCGqw36imimOH5XDskB+jLSDafusP6rBvOGbjx49X+4zSxWHDhqmgtUePHqb0IghFUIqAr1KlSjb3G20N0Uxg9erV6rUzJXdTp06VUaNGqWOPZgUIKrt16yZ9+vRx+Tybwzr0wBDHEg8Y7r//fpVu8wcDuMZmz56tAs+UlBR1nHG+9IcVFNicL1O3cKHh6ZMlqFK1YMECU8NrmD9/vtV2N0REgYp5JVFwQVu4L774Qt3IX3755aabf/TQactNN92kSoF0t99+uwpOUPsAEKCg0yqUMCFYQ/CFQARDQaAETp9Hh6AMJUnmD5tQevTll1+qvwgMAaWICObw+RtvvGHqKAvbAawbPStjHnsQ7CEAQeBn6SFXyX0ElDQisMGDtUsuuUQFR99//70pOMS6UNKFjroQEGHon+7du6ugUN8nlIBeffXVUqFCBRU0XnzxxaZjgM+wHNJz7NgxlR9jP3H89LwWxw0lg3iIZx4cvvLKKypAc2S/UaIJCArtFYaUhCGQ9AAcwSr2Ff82YNuunOeSsC4E//v27VOBK3z11VfSokUL9QATQbb+7xVKQXHMACW2WJbBYXAIc7YaE55aoIoBnlzMmDFDPWn4448/1Pd4soXqCXgSAw8//LD6caEaBepe4+kUfsR4ckNEFKiYVxIRSl/y8vJUdU0dqguihMyW9u3bF3uPqpl///13sRtztHtDe2a02UP1dQScesDgCAQIWEfJZRAw6cENghBUJTWHIMqR4NAe7OPhw4dVQINgEGl57733ZPr06XLy5Em1bzh25u20UY0S1RzxPZZDiRZK8RDoAQIoBIQImBDUYkL6USXWEpQ84viVDPqwXT2oNE9vWUBwaA4lp3pvrK6c55JwThEU6oEh6MOC4Ds9OMRx1gPDkumgwOdUcIgLAzc1+CHih4mLGDc7+g8LT21QfK9DMTduip577jlVlQJPQVBM7akeooiIfAHzSiJyFUq/SpZAolTtmmuuuWBeBEzWOnCxBetEKRrGYsVfc9Z6C3X3PqJKI0qw0GYQNSVee+01FQBjXFgEJs8++6wKYs07n0HJ4alTp1QvoNh3BDV6cIhlUGUXD+L+/PNPVcUS1VdRImapF0+9l1P0YoqHdeZKVtkveU6chfwendmYs9SRTsnOh1ASiFI8cOU8u8pWOijwORUconqELSUbMsP111+vJiKiYMG8kojQJgw32Wg/hloEgNKuXbt2FauyaA86okF1S70Nc0l4+IRSOKzXUqmSXjJnDiVj+AwPstCO0RKMuYq0m7M2VqsllrZrDqVTOlRhRNu6xx57zPQZOr/BOkqu0/yhWckgDlVP0d4PE6pnIihcuHChxcAaJWZYHg/rnDkfrkAVU7TBNIeSQGd6onXlPFs6p+i8DJNeeoh2i+joxlpv2hR8St3mkIiIiKjMhIaLZggVCQlDkYb30hFi+8YeJXDo0AWd0qCqJjqkQWmYea0BR6AEDO3oEGCiwxYsj6qmCDZQ2obABm3vrr32WlU1E0Hkjh07VGkPqlYiCEMpGdqMoTdOVLNEcHHzzTerGg6ozo5gEdU1MQ+CEFRvR+cuCNjQEQs6MUHtB2eqlGK7KBnUq0OiZM9aJ1qoLYG2b9gGeg5FpzIo8cNrR6HzlL1796pjgeqmc+bMUaVd1qrxIj1oZ/noo4+q+dDOEb19ogovSij1Np7ugNJQ9JaKfUTVXLRDxfkrWX3VFlfOc8kqtQia0Zsqzj06sEHp7X333afWXVZVZ8n3MTgkIiIiv2Ec8bvs2LBB3ViXrBLpaxAQ4IZ9wIABKhhByRgCEGf07dtXBT7oFAXDPaC0CZ2x3HnnnaZ5fvzxRxXoDB06VA2fgcABvUvq1dbvuece1SMlSuNQoobqluh4BsEl0oRqmlWqVJHOnTurQBTweuLEiWp+BKgILFD1HZ3hOAJBzE8//SS9evVSJVPYHnrftATDM2zYsEGlEcEO9gNBC4aQcBRKCbE97BvaLCLg/Oabb1RnK9ZgX1Cqh/bfCCyxDpTUonq/O+EcPv/886pzH6QNnQwhMDevNusIV86zORxb9Jz74IMPqkATDxoQWGKoDyKdQStZCdoHpaWlqXY7yFDxNIcoEPE6p9Lg9UOBCjfTKIFCKRLamaHq3AY/CQ7J9/D6oUDNG911T+Bc3QYiIiIiIiIKSAwOiYiIiMgpqK6JdpWWJgxJEaiCdb8peLDNIRERERE5BR2+WBqOAapXry6BKlj3m4IHg0MiIiIicgoGnA9GwbrfFDxYrZSIiIiIiIgYHBIRERERERGDQyIiIiIiImJwSERERERERMDgkIiIiIiIiBgcEhEREQUCg8Egs2fPdnj+l156Sdq0aePy9m699VYZNGiQ6X3Pnj3lkUceEX+xePFidczOnj0bUNsiKg0OZUFERETkRxDUIQjcuHFjsc+PHTsmlSpV8lq6fvrpJwkPD/d4kNWrVy9JSUmRihUrenRbRMGIwSERERGRH9A0TQoLC61+n5CQIN4UHx9v8/u8vDyJiIgos/QEg/z8fI8H5BRcWK2UiIiI/Mbtf94ur+19TYbPGy43z7nZa9OIuSPsphXVLB944AE1xcXFSZUqVeT5559XQR5MmzZN2rdvLxUqVFCB3U033SQnTpy4oCri3LlzpV27dhIZGSlff/21vPzyy7Jp0yb1HaYpU6ZYrFb61FNPSePGjSU6Olrq16+vto1gwhUISkeNGqVK6ypXrixPPvmkaT+sVSutW7euvPrqqzJ8+HCJjY2Vu+66S32+fPlyufTSS6VcuXKSlJQkDz30kGRmZpqWy83NVWnHd9jnhg0byhdffCH79+9XpYaAElLsL6q2gtFolDFjxki9evXUelu3bi0//PBDsfTNmTNHmjVrJpdccolcfvnlan3O+Pvvv9U+4nhi+3379lUlmHqasR/VqlWTqKgotY01a9ZcsI5169apc451dO3aVXbu3Fns+59//lnatm2r1oFzhnNdUFBg+h77PG7cOPnf//4n5cuXl9dff93h5SZNmiSDBw9W227UqJH88ssvxba9bds2ufrqq9W5wjWJc7Rnzx7T91gexw/baNq0qXz22WdOHT/yDwwOiYiIyG8UGAukUCtUf706aedvvG2ZOnWqhIWFyerVq+XDDz+U9957T91kAwI1BE8I9BDUIVjRgx1zTz/9tLz55pvy77//Sp8+feSxxx6TFi1aqGqkmIYMGWJx27jBR+C4fft2te2JEyfK+++/79Jxf/fdd9W6Jk+erIK7M2fOyKxZs+wuN3bsWBWobdiwQQWnCDauvPJKufbaa2Xz5s3y3XffqfUhgNYhmPzmm2/ko48+Uvs8YcIEiYmJUcHijz/+qOZBUIV9x34BAsOvvvpKxo8fr4KcRx99VIYNGyZLlixR3x86dEiuueYa6d+/vwqw77jjDnVcHYUqvAgomzdvLitXrlRpHjBggKkkF8Ey0obzvX79ehXQInjEcTL37LPPqmO5du1adV3cfvvtpu+WLVum9v3hhx9W5wz7jWOuB4Dm1YoR5G3ZskUt7+hyCBhvuOEGddyvuuoqufnmm03pO3LkiHTv3l0F4wsXLlRBLNatB5jTp0+XF154Qa0T5+SNN95Q5xP7S4HFoJV87OOD0tLS1BO31NRU9TSDKBDxOqfS4PVDgSonJ0f27dunSoRQYnHz7zdLWkaaKv0Qg/fSFRYSJtOvmm5zHpQyoSQQwQpKbgABCUpscBNfEgKGDh06SHp6ugqG9PZ1CBwHDhxot80htoGAzbyTmJKB2rfffqu2Y2s9ltSoUUMFXE888YR6j6AB5wQlmnppJfYXHdx88MEHppLDiy++uFgQeeedd0poaKgKYHQItHr06KFKDw8ePChNmjSR+fPnS+/evR1qc4hSO1Rp/euvv6RLly7FtpWVlSUzZsyQZ555RpWuITBCoIp0IVB76623HGq/iFJdpA1pLQnpRkkiAjLMpwf+2H+UpOKY6elGGhFk6iWZCFazs7PVtY39xXejR482rRuBLALPo0ePms4x1mke5Du63HPPPaceRuhpxjWGUmkE6zg+uDYQdFuqpopgF8sOHTrU9Nlrr72m9mHFihU2jx2VTd7ornsCtjkkIiIi8pDOnTubAkNA8IKSI5Q4IShDgIaSQwQoqBoJCEJQQqVDNURXoFQOpW8orcvIyFABnSsPj3CDiVK6Tp06mT5DqRfSZa+MoWTasa8I0FASpcM6sO+40UVpGIJHBIuO2r17twoCUapaso0jgkBAaZd5+sE8kLQH5+r666+3+B2OL4LBbt26mT5DgNWxY0e1XXOtWrUyvU5MTFR/8QChdu3a6tig6qp5iR+uEwQB2D/1QMTKMXVkOfNto0oqrgW9GjP2D9VILQWGCCSxjyhtHTlypOlzXE8IQCiwMDgkIiIiKmO4cUe1Q0wIlKpWraqCQrxHUGMON/LOQtVHVBtEVUKsEzfxKBlCYFqWSqYdQerdd9+t2ueVhAAJgZ6zsE74/fffpWbNmsW+QzVJd0A7RncwD770hwb6QwHsB84Xqr+WZF4yZOmYOrJcycAP29e3bWv/9OOLasklA2wE8hRYGBwSERERecg///xT7P2qVatUZyA7duyQ06dPq7aEaEsHenVPe9Djp61eSwFV/erUqaOqTuoOHDjg0j4gsEQpF/YF7dL0UiO0S0MnKM7A/KhSi2qKllx00UUqYEFbQUvVSvXeTs33H6WsCAIRXFsrcURHKiU7YMG5cBRK3RYsWKCCsJIaNGig0oXSOxxzQEkiOqRxZtxHHBtU67R2bNy9XMn9Q/tBS72fVq9eXVUr3rt3r3rgQIGNwSERERH5DbT1CzWEqr9ebXNocOwWCgELevlEaRk6Kvn4449V6R1KyRBQ4P0999wjW7duNbUHswdt2VAFE1UBa9WqpTqeKVlChgAU20ZpIdoxolTNkQ5krEFnJwhksV70VImOdVwZ0B29kKKqLTqgQZtAlIIhWEQbw08++UTt24gRI1RnKKgSi85sENSi+iM6U0HwhRKv3377TXWqghIv7P/jjz+u2kQisERPoagKi2ANVSexPhxjHHe0w0N1UgTnei+vjkB7PgSu9913n1oXzt2iRYtUVVP0QnvvvfeqtoVo+4hz+/bbb6sqnaiK6Sh0+ILeQrH8ddddJyEhIarKKK4NtO9z93LmcD5wLd54441qX/FAAMEzqsaiDSiCYpT24nO0UUQ7TzzMQHVoXN8UQDQ/kJqaigrt6i9RoOJ1TqXB64cCVXZ2trZ9+3b1FwoKCrQ1a9aov76uR48e2n333afdc889WmxsrFapUiXtmWee0YxGo/p+xowZWt26dbXIyEitS5cu2i+//KJ+xxs2bFDfL1q0SL1PSUkptt6cnBzt2muv1SpWrKi+//LLL9XneD1r1izTfE888YRWuXJlLSYmRhsyZIj2/vvva3FxcabvX3zxRa1169YO7Ut+fr728MMPq/3AdkeNGqUNHz5cGzhwYLH9xTy6OnXqqG2WtHr1aq1Pnz4qXeXLl9datWqlvf7666bvca4fffRRLTExUYuIiNAaNmyoTZ482fT9K6+8oiUkJGgGg0EbMWKE+gzH9IMPPtCaNGmihYeHa1WrVtX69u2rLVmyxLTcr7/+qtaFdV5yySVqnZaOrzWLFy/Wunbtqs4XjgHWry+LND/44INalSpV1PfdunVT+6mzdC5xnvHZvn37TJ/NmzdPbaNcuXLqWHfs2FH7/PPPTd+XPMelWQ7Xgn7twKZNm7QrrrhCi46O1ipUqKBdeuml2p49e0zfT58+XWvTpo06friWu3fvrv30008OHTvyfN7ornsCp3orRTfBP/30k3ragic1GJ8FvTzhiYI1eCpz2223FfsMT7dQ195R7IWPggGv88DhjbyS1w8FS498qE6o9zbp6+2dSvbeSeehgxuUOuH8oqQLPWeiFLRkr4vmTp06dcHYhChFRI+pjvKn64fI53srRf3v+++/X1VPQF1zdHt7xRVXqOoAthpLI1Hmg3ya99pFRBRomFcSEdmG4TowYDzyRJRTYJy9Xbt2qfEbbQVt+K5ly5ZlmlaiYOJUcDhv3rwLnnTjh40GyXoDZUtwg5OQkOB6KomI/AjzSiLyNyi5swZj4WGYA3dq3Lhxsfdoa4h2cminhzaEtlgabqG0+vXrpwaTtwQP+DARBYNSdUiDokpA41tb0AUuGhCjkTB6VHrjjTfUkyEiomDAvJIoOGHgc3+Bzm2sKTk8hCfovY9i/ER782GcRMD4fUibO4aZmDRpkhqM3hJ7eTdRIHE5OMTNC7rnxYCftor30cZm8uTJqotc3CCNHTtWtb/Ztm2bqltuCXpAwmReb5aIyB95Kq9kPklE7lSaYRBKC9VKDx06pEovbQV6aFeFEkYEhQgSk5OTVdtuPETTh7iwlAebd69hbQiQsgiAiQI6OER7GnSRu3z5cpvzobtgTDrc7GCsmQkTJljtshmdOVgaR4aIyN94Kq9kPklEgQJDbqDUDkNk2ILg0bz6K9or4gHayZMnrQZ3CCCPHj3q9jQTBaoQVxbCWCgYXwbju1gr/bNVTxw9RO3evdvqPBhfBU/O9QlPk4iI/I0n80rmk0QUKIEh8jDUnrBW+mcNejlFKaJ5LYqS0I4beak+oXYGEbmp5BDF8g8++KAaRBX16NF1qrNQnL9lyxY1cKk16L695GCuRET+oizySuaTROTP9KqkGM4CgaEr+RnWgRJHdNlvK4AkIg8Fh6geNWPGDPn5559VT1Ioqgf8KPU64sOHD1dF+6jyBK+88op07txZ1WU/e/asvPPOO3LgwAG58847ndk0EZHfYF5JRGS/xPDMmTMqz8PwFPn5+epzvNYDOozhhloUes0LVA9FVVK0PcQwQcePH1elhlWqVPHqvhAFbXA4btw406Cu5r788ku59dZbTT9286c0eCI0cuRIdXNUqVIlNVDpihUrpHnz5u7ZAyIiH8O8kojINrQTBPOxXQEdzujBXl5e3gU1KvDQDIEkejVFlVK0zXZHb6VEVMSgmXfh5KPQCx+euKNOOgaJJgpEvM6pNHj9UKDKyclRJUiono0SIwQIGzZsUO3HbA2WTqWHB1xt2rSRDz74wBS4ofdlTJ6wf/9+dZ5xfrFdTyjN9fPSSy/J7NmzbQ77YWn8WjQxGDRoUKmPB5op9OrVSz1MrFixovjjNRQo2/LFvNFd9wSsiE1EREREdq1Zs0buuusuCQYI6hAImnv88cdlwYIFXksTerE+duyYzTaW7gqyPPUAgHwfg0MiIiKiIKK373NW1apVVVXOQFayKqs5DKNRuXJl8Rb05oreVxG4WisVxbiOVDbXQ6BicEhERER+49DwERL10sty8KabZf+QG703DRtmN63p6ely8803q05UEhMT5f333y9WKoPOVFAahc6pME+nTp1U1UHdlClTVPXBP/74Q7WtQ3By5ZVXqtIjc5MmTVLfo2oZxgr87LPPilVNRDDx3XffSY8ePdQ806dPl9OnT8vQoUPVthHwXXTRRfLNN9/Y3B9UK9Wr7CFtWG/JCVUvHUkXrF69WlXvxPft27dX1ScdheOE7f3+++9qeAqsA516YVxZnaV9/Pbbb4utB+cDww7hnKCtY9++fdV+wuDBg9U29PfYN/PqrihJ7dOnj1oOpXk4vuvXrxdX2Tse+j6j0zLz6+OXX35R7dPR4yvas9u7ruDvv/9W+47jgnbu2G9UV0W7+CVLlsiHH35oOqe4hgDHtl+/fuo6rF69utxyyy1y6tQp0zozMzNVZ2v4Htf7u+++69T+I91PPfWUJCUlqX1BZ0VffPGF6Xukq2PHjuo7rP/pp59WHROZQ3D85JNPSnx8vAqkza9HwLFDR2940IHqlpdddpls2rTJ9P1L584xrl3z6pqOLjdt2jR1veB6uPHGG1UeYJ62t99+W+0X9qF27dry+uuvm75H77033HCDOqdI/8CBA03HviwxOCQiIiK/oeFmsLBQtIJ89dpbk+QXvym1ZNSoUeomHDfv8+fPl2XLlhULHhCUrFy5UgUsmzdvluuvv14Ff//9959pnqysLBk7dqy66Vy6dKm6+ceNvw6B3gsvvKBuMv/9919544035Pnnn5epU6cWSwtupB9++GE1DwIBtFdCx1cIrnDTj+qiuNlHgOKIIUOGqCBVnxBYopOYbt26OZSujIwMufrqq1VQs27dOnVzbb5fjnriiSdUEIJADTfuAwYMMJWMWtrHESNGyLZt24qtA2lCqRzO1fjx49W69E7EsG/6+5Jw44/1LV++XFatWiWNGjVSww+ZBwSOcvV44Pp46623VDCD/apWrZrd6wptJi+//HK1LcyH9OO4oeQRQWGXLl1UB2n6uUWwhuAIARGC17Vr18q8efNUb7EIZszPBQI49NT9559/qoDUmWAZgSWuo48++khdMxMmTFCBJhw5ckQd2w4dOqigDB2/IXB87bXXLjiXCIj/+ecfFYihJ3D89nQ4FidOnJC5c+eq49y2bVt1LNBzrm737t3y448/yk8//WRqX+rIcnv27FFVkTG+MSYcizfffLPY+MR4j9/B9u3bVa/mCLIB1yx+l+jhHPkErkX9YVCZl15qfiA1NRWd5qi/RIGK1zmVBq8fClTZ2dna9u3b1V/Ye8MQbcuV/bQ911yj7b3mWq9N+24YYjPdaWlpWnh4uDZz5kzTZ2fPntWio6O1hx9+WDtw4IAWGhqqHTlypNhyl19+uTZ69Gj1+ssvv1S/6927d5u+//TTT7Xq1aub3jdo0ECbMWNGsXW8+uqrWpcuXdTrffv2qXV88MEHdo91//79tccee8z0vkePHiqtujp16mjvv//+BcshffHx8drbb7/tcLomTJigVa5c2XReYdy4cSqtGzZssJvWRYsWqXm//fZb02enT5/WypUrp3333XdWl7vqqqu0m2++WSsoKDDt48UXX3zBfFj3rFmzin324osvaq1bt7a67sLCQq1ChQrar7/+anM9ljhyPPR9TklJKXZ9bNy40bSMI9fV0KFDtW7dullNS8nzrp+7K664othnhw4dUtvfuXOnlp6erkVERGjff//9Beej5LoswTqwrvnz51v8/plnntGaNGmiGY3GYr+FmJgYddz1dF9yySXFluvQoYP21FNPqdfLli3TYmNjtZycnGLz4FrF8dfPcXh4uHbixAnT944uh982fve6J554QuvUqZN6jc8jIyO1iRMnWty/adOmXbB/ubm56vj98ccfDuWN7roncGooCyIiIiKyb+/evao0ANXgdKhqhgHfYcuWLaqkpnHjxhdUrTNv14Zqfw0aNDC9R3U6lGDo1fhQWnHHHXeokh4dqtqV7LQE1RTNYdsozfv+++9VqQxKJ7BtZ9sUojdElHj1799flRw5mi6UDOnVQXUosXKW+TKoiofji3Xb2seSwwyhdNEVKDl77rnnVAkZzgm2h5I8lO46y9XjgRJPLKdz5LpCaRhKwpyB0rpFixaZSvLM4VxnZ2er44sqrCXPhyOQJvQei6q51o4Pjod5e0uUUqPE9fDhw6qKJpgfi5K/F+wD5i/ZbhRpxz7o6tSpo0qhzffdkeVQnRQlf5a2jfTjHKC00RJsAyWW5svrpd/m2ygLDA6JiIiIyhhuNnEzjCpqJYdUML8BxyDw5nBzrI9ChnXAxIkTi92UQ8l1oqqduXfeeUdVIUQbQrTFw/dod+dMFTYEIaheijZYn3/+ebF9czRdnmRpH1G1FsGrrWPjKFQpRbtGbAMBBdqRIYApy2qAGOPRPGBy5LpyZVxIrBdVT1GFtSQEQQhsSsNdY1Va+r3onfRgH5DWku0vwXxokPIlrgdHl7O1bXv7h23gIQWqY5dkHqiWBQaHRERERG5Wv359dbOI9mp6qQZK2Xbt2iXdu3dXbbcQXKFk4dJLL3VpG2ivVKNGDVVKiY5vnIE2TejwYti5jnVwE4u0oR2aox599FFVUoU2aOYlXo6kCx3VoB0lSkb0ZdFuz1lYRj++6FAF+4B1W9tHtLtD2uzBucP5sQXrRyc7aAundyhi3kGLM9x1PBy5rlC6hiE5Xn75ZaulkSX3HW3s0A4PpWNoW1oSSrdxzNDWr+T5sFYaaA7BO84P2un17t3b4vHB9vFgRA+GcfxR0larVi2769f3ITk5WaVf72TIk8uZQ3tUBIg47ujYxtI20GkU2ox6e6xidkhDREREfsOAG9PQUDGEhavX3pok3Pbzddy0omQJVS1RHQ+dhaCaZUhIiLq5RbU/BE7ohAMdX2Awa3QGM2bMGNWBiqNwg49l0IkHbsQRrKEjlffee8/uzSo66lixYoWq8nb33XerapKOwjYQGKEDF+wPbp4x6aWG9tJ10003qeVQ7RSdc8yZM0d1vOMsdDiCG250OIOeNtFzqD7gfGn2EUEA1ot9QpBjCdaPgA7rRlCE8+lqCZi7jocj1xU6RsFDi/vuu091WLNjxw7VwYse2GLfsT/oKROfIWi7//77Vecr6P0Vy6KqI3rRve2221QgiVJJXN+43hcuXGg6H7jeHYFt4vdy++23q05dkG6U1KFKMCCtCL4ffPBBlV50evPiiy+qTp8c3QaCTpTs4vpAhznYP1wbzz77rHrA4e7lzCHgR0+s6En1q6++UscPwb/eGyvOGa5dPMxAhzT6/j/00EOq2myZ0vwAO1qgYMDrnEqD1w8FqpKdLqAjkTVr1pg6FPFl6ITipptuUh1VJCQkaO+9957WsWNH7emnn1bf5+XlaS+88IJWt25d1QlGYmKiNnjwYG3z5s2mDkfi4uKKrROdm5S8fZs+fbrWpk0b1SFIpUqVtO7du2s//fRTsQ5pSnbygs5CBg4cqDr0qFatmvbcc89pw4cPV5850iHNiBEj1HpLTuiYw5F0wcqVK1UHL/ge8/34449Od0iDzl9atGih1oFju2nTJpv7eMstt6j9Mu+QxlKHKb/88ovWsGFDLSwsTO23pQ5p1q9fr7Vv316LiorSGjVqpDofKtlpj6Md0jhyPCx1SFPy+nDkuoLFixdrXbt2VZ2kVKxYUevbt69pvegcpnPnzqozFGwP1xDs2rVLrQfz47umTZtqjzzyiKkTFXRKM2zYMHW9o9MkdFBk7fhagt/4o48+qtKLY4DjP3ny5GJpRgcz+A6/J3Q0k5+fb/re0rZw/nGtmv8mH3zwQa1GjRrq2CQlJakOig4ePGiz06E0F5bDdaBfO4COc1577TX1GdZRu3Zt7Y033jB9f+zYMfUbrFKlijov9evX10aOHGn133VPdUhjwH/Ex6WlpakGzKiO4e2iViJP4XVOpcHrhwIVqtnhKbo+5hhKKTD+G6rPlWX7NXdAWzeMPYehF1DKQq5DqUqvXr1UqZ55uy97/Pn68Rbzqpzku3mju+4J2OaQiIiIyAMQhKAKHHosxU0aqkACqo4R+brU7Hw5nZErRk0kMixE4stHSPlIhg6Bjm0OiYiIiDwE7cZat26t2i2h5BDtidC2iGy75557VDs2SxO+8zcYUsPa/vTr1098iVHT5L/j6XIiLUcKjZoqOczJL5SjZ7MlK6/ApXXiure2/5aGxyDvYfhPRERE5AGouoghBch5KGV9/PHHLX6HanLo1dEPWkaZIKC94YYbPDqMg7scTcm2+t2RlGxpUDVGQkKcq2aKcTYxliH5PgaHRERERORTEPxhChQYEB6TrzMaNcnOtz2Ex7HUbKlZKdqp9SIAbtiwYSlTR2WB1UqJiIiIiEjOZOXZnScrr1AKCosGd6fAw+CQiIiIiCjIoZpuSqb94BAycl1re0i+j8EhEREREVGQy8l3vDSwAF2YUkBicEhEREREFORSHKhSquOoh4GLwSERERERUZArKGRpIDE4JCIiIiozPXv2lEceeUS9rlu3rnzwwQfiD0qm1WAwyOzZs8VfvPTSS9KmTRvxR1lZWXLttdeqITxw3M+ePeuxbX30zhvSpWUDaZwQK/Pn/mZ1vrIII/3tGgsUDA6JiIiIvGDNmjVy1113eXQbU6ZMkYoVK7p9vceOHfP44O3eCuhuvfVWGTRokPiKqVOnqkHkV6xYoY57XFycR7bz364d8sm7b8or73wof2/+T3pc1sfqvI52XFOa81wW1xhdiOMcEhEREXlB1apVbX6fn58v4eHh4osSEhL8Nu3uUlb7uGfPHmnWrJm0bNnS5XUUFhaqkriQEOvlQnt271Z/e1/ZX83rSO+mjsznqWuMfKDkcMyYMdKhQwepUKGCGpgUT1V27txpd7mZM2dK06ZNJSoqSi666CKZM2dOadJMROTTmFcSec7P722Ubb9kyqyx6+WHt9Z6bfpp7Dq7ac3MzJThw4dLTEyMJCYmyrvvvmu3qua4cePkf//7n5QvX15ef/31on3++Wdp27atyhvq168vL7/8shQUnB9KANUM7777bqlevbqaB0HEb7/9JosXL5bbbrtNUlNT1boxoZTGnhMnTsiAAQPUwOX16tWT6dOn26zyt3//fvX+u+++kx49eqg06MtMmjRJBTb4DPnbZ599ZioV2r59u8ydO1euvPJKVbqJfW7fvr38888/qsQT+7lp0yZT2vHZmTNnVAka8lUMKo+qlpdddpmaz9ybb76pjgfy4TvuuENycnLEETg+KKnDMde3i+NobR9Pnz4tQ4cOlZo1a0p0dLTKu7/55psLqhI/9NBD8uSTT6o0I+gxPw8IsvC+du3aEhkZKTVq1FDz68viulm6dKnaPt5Dbm6uPP7442q7OG6dOnVS6SxZYvzLL79I8+bN1XoPHjxodb9ffPFFuXv4EPW6SWKcqlYKwwZfJa8//1Sxee+9dag89dA9kltgNF3Hb7zxhtx+++3qeGM/Pv/882LLHD58WB0n7L8j57nkNQZbtmxR5xrXZeXKlVWpe0ZGxgUlvmPHjlW/N8xz//33qyCePFRyuGTJEnWQcdODTOmZZ56RK664Qv24caItwQ8YFwNulq6++mqZMWOGOnHr168v1RMQIiJfxbySyHOMRqNoRk2MftB5xhNPPKHyAwQaeFCEvAC/aVtVJREkILBB0BgWFqaqEyLA/Oijj+TSSy9VpUh6VVTc0ON4oOpdenq6fP3119KgQQOV14SGhkrXrl3Vel544QXTAyoEqvbgJvvo0aOyaNEiVTKGQAUBoz1PP/20CmQuvvhiU/CEbX/yySfqsw0bNsjIkSNVPtilSxcVTCGvRDCEoBiBBW72sU9DhgyRrVu3yrx58+Svv/5S68c+7d27V0aPHq32A/uLIAnH+PLLL5ddu3ap4OP7779Xx/HTTz+VSy65RKZNm6aOHwJrexBw/fvvv5KWliZffvml+gzrxPGwtI8IOtu1aydPPfWUClR///13ueWWW9R56Nixo2m9CDhHjRqlAqKVK1eqY9ytWzfp06eP/Pjjj/L+++/Lt99+Ky1atJDk5GRTsPvTTz+pbeJY4HVERIT6/IEHHlDnGcvg+M2aNUsF2QigGjVqZGqr+NZbb6kAHYESrkFrHnxklETHJ8rTj9yrqpQ6Ij0nX6LCQ9VrHJNXX31VXeM//PCD3HvvvSqIbtKkiTqneI1AFsEqgmP8DqydZ0vVZvGgpW/fvuq6QXVsXI933nmnOg56MAm4ZhEY4u/u3bvV+vF7w3VHHggOceLM4WTgQlu3bp10797d4jIffvihuliRQQIunPnz56uMYvz48aVJOxGRT2JeSUS4If7iiy9UAIPARQ8QatWqZXO5m266SZX26VAag+BgxIgR6j0CHOQPKIVCcIgb6tWrV6uApnHjxqZ5dLjRRgmMo1X0EGChNA/rxAMuwH6g9M8edLRzzTXXmN4jfQga9M9QComAZsKECWp/ULp06tQpWbt2rQoMERAhmMBrQACIAFlPOwLj//77TzZu3KiCA5SGYb9RqoqSUgQlCJwREKO0EBO89tpr6jg5UnqIbaJkCkGnpWNWch/1gFL34IMPyh9//KECVPPgsFWrVup4AII35O0LFixQwSFK9LCt3r17q2AcJW/6sghMEUQjKNTTg/kRuOIvAkM9Dfi3B5+jFA9QYoaS2tatW9vd78hy0VLhXFBWtVp1ccTZrHypWiFKvb7qqqvkvvvuU68RKCPYRYCG84mHnSdPnlRBHfYHGjZsWOyYm59nS7AOnL+vvvrK9JAVxxAl3AiAUUoMlSpVUp/jQQJKqvv376+OM4PDMmpziGoKoJ9oS/B0BE9KzCHyZ+9DRBQsmFf6FlThWrHntKw7kCKhIQbpVC9e2te1fm6IXIFAJi8vT1X30yEPwM2yLahuZw4B099//22qYqq3H8ONMkqGECgh4NQDw9JCsIUbdZSG6XCT7UinNuZpR0kPjgECNPMbc9Sm0EuGkHaUwOG46IEbtm0N1onqnQi8URKm/54xIZjD9vR9uOeee4otixInBCulVfL84FwgGEMweOTIEXXOkRYEdOYQHJpD6ZZeGnv99dergBZBPR4SItBC0GPtWKB0ENstec6xXf24AALKktv11KD25tvRH0bo+2d+nl2Fc4og17z2DUpeUfqIUnE9OETJKwJD8+OM40VlEBziZODpCU6MrSpPKBrXT5gO7/G5Nbi4MelQtE9E5I88lVcyn3QNbiLfmPOvrNp7xvTZvK3JMqJrXbmune0SHaKyULLqOQIhtMkqWVoFqNaIUi5fTLveFmzixInFAmTQb971tON3eejQIVOpnTUoCUMQiRt+vX0d2vwdP35ctauzFMCqasiapv4Cgip37SO88847quYHgju0N8T3yPMRJJor2XENAig9TUlJSSrAQekmaoygBA7rRXVZSx3e4NjiGKI2inkgVLLaMI6lox3GpGefb8NqDh3Y4PiZK7DQhs/W/pXlNWorHeThoSxQRxx1hFHX2d3Q5gZPlfQJPxoiIn/kqbyS+aRrEAiaB4a6qSv2yxk3ds1OhDZnuFFFGzNdSkqKqrbpDFSZROCAanglJ9y4o8QGnX1YWy9Kj5wJiFBKiNI9BB46bN/ZsfXwcAtVHtFGsGS6Ub0UkHaUKm3evFmys7MvaBNoKe1YBg/NUKqmrwvVMPG6SpUqah5UgdWPO+ZFW0eUGqKkFduyx5ljhlLdgQMHyrBhw1TJFvbB2XOsB1AoLUTbSAS+qE1ircQLpXBIH0rmSh5bV3v4zC2wvL+VKleRk8ePm95ju//t+NepdevnGZ0JuXq8cU5Rio7SY/Njj9+AvdJ4KoPgEI0/UbcbPzR7dedxkeKJjjm8t3XxoqExqmHpE54mERH5G0/mlcwnXfPZ4qJqZ5Z8tXJ/maaFXIObQUOIQUJCvT/ZghIcVKlEO+KFCxeqh0TohMTWUAKWoEMXtLNC6eG2bdtU9To8bHruuefU9+joA22ZMUg6Sp327dun2gzqbZ/RkyRKmtDuCu37ECDZghttVG1E76cIsBAkouMPV0p/kGY8yELAg4AJwQ7axL333nvqe3TChYAO7SpRAoggF52zIDDS0479QWCBtKMEC7UwUEUUHXb9+eefKvjEsX322WdV20V4+OGHZfLkyWpbqFWBDoFQHRVVPR2pZontIohEUIzt2urtEu0HcdzRqRjODY5bybzcHrRLR7tO7Af2B+1Ucbzr1KljcX5UJ7355ptVR0XopAbHCG1EcazRIY47dbmkuyz+6w9ZNH+e7Plvl7z41KOSllbUVMJROM/4twznDAEd9tHWeTavFaPD/qKkHG1VcZzw7yrad6Lzn5K1bqgMq5XiR4kTgR6R8FRDf/JjC37AyJBQxK7DjwifW4MGxpiIiPxRWeSVzCedt//U+SfOliz494Q80ts97bbIcwaOaqNKglB6UrJKna9B1UAEZigRQicrjz32mKkNsqPQ9hgPmV555RXV8QZKI1G6h4BNhxttdEiCm3CUrKAECT2eAnosRfs79NqIAAydotgbzgJBFdaPwBM33ujQ5fnnn3d6/7EOBGQ4DgiSUeUSVS+RzyGfRKkeOg9BxzQIHFBiieqh6GUUEPAi+OnVq5cqucT+Dx48WA3zg2AQHfeg9AwdfmEePUjAvqL9ITrtQTVUrAe9Z6KjGEeuGbSRRN6N9oU4fwhEEMBYgiAdwQ7OE/YVHeJgX5w5z6gOi/OFducoQcMx+vXXX4u1H7R0jnBecE2hrSOC7M6dO6vert3p2qG3yI5tW+Sph+6W0NAwufXu+6VTt0vVd9ERjv3+UDKIQB5pRXtKe+cZ+4YHKeZwbHH+EPijoyS8x3L6gwZyH4NWsiKxDagDjd6C8ATGvAgXVZr0J0p4ioGuavH0AvAkBZkLLnr0GISnXWi460z37Hjqg23gh4ZugokCEa/zwOGNvJLXj31P/rBJ/j2WbnOeXx+8pMzSQ47BzT1KFfCQBSUHuHn2l+CQrDtw4ICqZohAFudVh3Oql67ivCMY1mteIFBDaR7yTuR3qKaL8RIRaDhassnrx7L/jtvOGy0pHxkmNSr6TpvXYM8b3XVP4FTJIcagAX0ATp15hI9udc2rTOCJFW6S8GQFY5+g+B2973HcLiIKVMwrfZO9wBDScvIlNurCDiCIyL0wtAHo4y/qUEKntx0s2akLquriRhhjDqK0DDfECC59qVOeYJKZa7kTGwqikkNv4RNxCga8zqk0eP3YdiItR+6YWtQeyZb48hEy9fbzY5OR97Hk0L2WLVsm/fr1s/q93stooML1gyq+1tp+or3mpZcWVZsMNOY9mZb0+fQfpUPnrk6vs1H1ojEpKUhLDomIiPzRTxuOODQfeyylQId2dOj4I5hNnz5dVUW19HABVVYDlbXzjnKinPCisSedhWUdHS6D/AODQyIiCni/bz7m7SQQ+QRUwURVzGCGoX9wDIKt5Nnaec/KK5AjKdkurTOv0CiRYcF1HAOdy+McEhERBSI/aG1BROQ2Z7OsD9VhT1au42Nokn9gcEhERGRmwyHnBvumssGgncj3OpbJzmdwGGh5IoNDIiIiM+sPpHg7CWQGQxmAvcHbiajssbmh9+i9+bq7ejTbHBIREZn5eeNRufPS+t5OBp2DGx8MEo7BziEyMtLUU1+wtRkj9/RWCrx+imTm5kthvu2OuBLioiQ5Ncfid6n5eVIpkhFiWTMajWo4mOjoaAkLc284x+CQiIgCGqsj+r+EhAT1FwEibopOnTol+/fvtzocAZE1vH4ubG+YV2C9amh0ZJjkp4bKmYxcq/MY0yLZY6kX4PqtXbu22489g0MiIgpoh13ohY/ds/sWnIvExESpVq2apKSkSP/+/WXt2rU2x20jsjaOI6+f8+79ep3N7x/o1VBqVImW92ZutjrPQ5fXlGaJHF+3rEVERHjkAQeDQyIiCmj3TV/v9DKp2flSMTrCI+kh16EaIG6IDhw4oP6WHPiZyJF2Wrx+zjuVbbtmxcX1qtmd78DZfLm4Ho9loGBwSEREVEKBkVVRiYhCQuzXoIgIY/XcQMKzSUREVEIhg0MiCnDuao/tQPxIfoTBIRERUQn5hUZvJ4GIyKNQfd4dQtmxT0Dh2SQiIioht4DBIREFtjw35XMfLfjPLesh38DgkIiIAtbJdOvdr9uy/Wia29NCRORLVuw57e0kkA9icEhERAFrZ3K6S8v9uf2429NCRORLvli+z9tJIB/E4JCIiAKWq20H95/KdHtaiIj8Scd68d5OAnkBg0MiIgpYO1wsOSQiCnaNq8eYXreqFVcmPZ+S9zE4JCKigDVnyzGXl+XNDhEFs/+1rml63aGu7VJEDv8TOBgcEhERWZBfyJsdIgpMjjz8KhcRanpdMTrc5rwFDA4DBoNDIiIiC1Ky8rydBCIijzicku3U/LXjo21+n5bjnjETyfsYHBIRUVBqUSPW5vfpvNkhogD122bnqtxXrRBp8/uVHBYjYDA4JCKigJRbUGjz+/KRYTa/z8i1vTwRkb9ytqQvMux8FVNLNhw8W8oUka9gcEhERAFpxW7bT7L7tkiQbg2rWP1+65FUD6SKiMj7zmbZDg57N6te7H1EWEipHsaR/2BwSEREAWnFnlM2v29Xp5KUC7f+NPy7NYc8kCoiIu+z9/Drpk61nVxfWilTRH4bHC5dulQGDBggNWrUEIPBILNnz7Y5/+LFi9V8Jafk5OTSpJuIyGcxn/QNq/aesfl9aIhBqsdab0dTo2KUB1JFRDrmlb7LXhtDClxOB4eZmZnSunVr+fTTT51abufOnXLs2DHTVK1aNWc3TUTkF5hPel9WXkGpb4COns1xY4qIqCTmlf7FfGgLS4wcziIg2G6Nb0G/fv3U5Cz8cCtWrOj0ckRE/ob5pPct2XnSofkaVatgdywwlEwQkfsxr/QvF9WMk9X7rNfIyCkolOgIp0MLCtY2h23atJHExETp06eP/P333zbnzc3NlbS0tGITEVGgYz7pPgfOZNn8/uZz7WlC7PwrmFdodGeyiMgNmFeWTl6B7XytZsVyFj+/rKntEtoDp23nu+QfPB4c4sc7fvx4+fHHH9WUlJQkPXv2lPXr11tdZsyYMRIXF2easAwRUaBiPul+hXaqN1WPdaw9YRaHsyDyGcwr3WPz4bMu9TzaoW68zeVmbzhSqnSRb/B42W+TJk3UpOvatavs2bNH3n//fZk2bZrFZUaPHi2jRo0yvcdTHv6YiShQMZ90v0U7Ttj8/sjZbIeeoGfmFUil8hFuTRsRuYZ5pXucTM91qS22veEs1h5IKVW6yDd4pWJwx44dZfny5Va/j4yMVBMRUbBiPlk6uXaCPr0n0gpR4TbnO52RJ7UqRbs1bUTkPswrnffZ4j02vx/WuY5L67X3sI38g1fGOdy4caOqGkBERJYxn/Ssbg2rONRd+9yt7CKfyJcxr3TOiXT7vTA3S4wtk7RQgJQcZmRkyO7du03v9+3bp36Y8fHxUrt2bVV8f+TIEfnqq6/U9x988IHUq1dPWrRoITk5OTJp0iRZuHCh/Pnnn+7dEyIiH8F80vdFhtnukl339+5THk8LUbBiXln21u23X/UzPNQrZUfkr8Hh2rVrpVevXqb3ej3uESNGyJQpU9R4MwcPHjR9n5eXJ4899pj6cUdHR0urVq3kr7/+KrYOIqJAwnzSu85m5Xk7CUTkAOaVZW/6P+ePpyta1oyTrUdSLX4XEsJhfwKBQcMgTj4OjYfRw1RqaqrExrKomwITr3MqDV4/5208dFaen73V5jy/PniJ6fWAj5c7PC95H691Ko1gv37s5Xf28jwEhqN/2mLxu4tqxckbgy8qVfrI+9c5y42JiCig+MEzTyIin/TQ5Y1sfh9roxOvnDwO/RMIGBwSEVFAsRcatqtTqdj7trUrejQ9RET+okfjqja/j4qwHjrkWBkfkfwLg0MiIgoo2XaeXl/erFqx9w2rV/BwioiIfEOknbEK7Y1lWC7cemdep9LZ3jsQMDgkIqKAsvmw5c4SdE0Tire/uDjJdsmh0chqqkQUGFrUsN7+rJqdoX3sBYfZ+Sw5DAQMDomIKKDM2XLM5vclxza0N6bX1qO2g00iIn/qsMuay0rUqrAkzM4wF/tPZbqULvIdDA6JiCiohdrpfn3Ckr1llhYiIk/JyS8UWxUhWtcqffvrd/7YWep1kHcxOCQiIrLh4JksbyeBiKjUFu44YfP7sNDSj1PI/NL/MTgkIiIiIgpw4xbvsfl9WAjDAmJwSEREAaTQxc5jmiawx1IiCuwqpfaEu6HkkPwfg0MiIgoYO5LTbH5/S5c6Fj+/uHbxsQ+JiALJ6n1n7M4TYmBwSAwOiYgogCzeedLm91e3SrT4eflI692zg6ZxOAsi8l/u7CimTuVot62LfA+DQyIiChiLd9rucCE6Iszi5wWFtoO/wynZpUoXEVGgGH1VM5vf5xUYyywt5H4MDomIKGDk5Lt2U9I6Kc7m9yfSc1xMERGRf4gtF+7QfDUrlrP5/d+7T7kpReQNDA6JiCjo1a8SY/P7A6fZPTsRBbY4B4NDez5dtNst6yHvYHBIRERBLyTEdkcMEWH855KI/NO6A/Y7o3nyyiZu214uq5X6Nf5rR0REAWH/qUyb3z90eSOb31ePjbT6HfujISJ/teBf222x8Wzs0kZVyyw95NsYHBIRUUB48JsNNr+/qKbtdoXdG1u/OWIHC0Tkr5b9Z7sN4Fd3dCqztJDvY3BIRER+z5GhJqpVsF4yCDGRlnsyhVV7T7uULiIib0rJzCuztoYUGBgcEhGR38u3MxSFI+0KM3ILrH63IzndpXQREXnT0v9sj/3qKnvV9Ml/MTgkIiK/l1dY+mqf6w+kuCUtRES+YsqK/R5Zr6022sCq+P6LwSEREfm9AjvB4TVta9pdh8Fgu2QxJ7/Q6XQREXlTgZ1aFaOuaOzSeg1iO79Mz8l3ab3kfQwOiYjI79l7Sj2scx2762hYzfZYh//ss98dPBGRP+lYN96l5RLiomx+v+ek7d6jyXcxOCQiIr+Xb7T9dDw81P4/d31bVLf5/cEzWU6ni4jIlzvqKm+jIy5bqtrp4OvV37a7tF7yw+Bw6dKlMmDAAKlRo4aqgjN79my7yyxevFjatm0rkZGR0rBhQ5kyZYqr6SXye5rRKIWpqd5OBnkQ88myd8DGGIdNEyo4tI7EuHI2v8+00WENETmPeaVnrT9oux117fjoMksL+Q+nHxdkZmZK69at5fbbb5drrrnG7vz79u2T/v37yz333CPTp0+XBQsWyJ133imJiYnSt29fV9Mt+cnJkrf/gJzct102bvpDMpIPSZgWKlGhkRIaEiqp+ekSEhYu5cPLq3rR55uSGNSTFGRChVqhpOVeeJNeKbLSBZ8ZSjx9wTtDiQcyRs0ooUYRQ2ioaSZsVjOInM06Xx0J6QsPjZCcguyi2c6lLUzCJDaygmhIrKap9RkMIabRl/E+PS+t6PW5XveiQiIkOiRKzaepVBXJzM+UfOP5+t4hhhAplPPVrpD2iLAoCQkNVcFKVHg5MRoLJcQQKgajefUs/cBpkpGfKQXn1ok0F4YaJMQoUik8TlJzzxbtW4EmhWEGU/rMxUXEqvWl5hUd89jIWMnIyxSjVqiOb4XwChIeEm46HoWFBRIiBpV2830rSsC59waDGM+dT4OpzdC51zjXBpHTOUVd0IcaQtU5h3Jh5SQyNFLk3LrzC/PVvpULjSpaGqdAnYai78JCwyTUaJDswhx1HjCvvo9hIWESGx4rIUiDIUTS89IlpzBHpTs2IlatX62z0CiR6TkSlZ4rhWEhkjRtqjSo2OCC40T+z1fyyWDy7ZpDVr8Lc6DU0JEn6AmxtqtREZFzmFd61ku/2C69G97FfnV7Cj5OB4f9+vVTk6PGjx8v9erVk3fffVe9b9asmSxfvlzef//9Uv2QU6ZPlzPLFsvRjKNSQTQ5/1w4Q/236FkIgq+iYMoay8+Ti4I2d7qwslKmWB6OuSj91kRbTOuFAa7twn5djtlr+730WV9ntjh2y5RdYh+ypbzV9LhPgsVPi2/rfHmB7RI96/t5vpv74o8WLizNUCMO5YtkpZ0RYXAYkHwlnwwm+2yUHG494p6SenZIQ+RezCs9Z+Ohoof2tlxc+8LCEHfKLSiUyLBzBSbkNzze5nDlypXSu3fvYp/hB4zPS8OQUF2OZx2/sESJyE9oKfYzbgoOnsonyXm2ejWd/s/BMk0LERXHvNJxz8/eaneeiDDPhgGbD7MJjT9yrRWqE5KTk6V69eLlZniflpYm2dnZUq7chW08cnNz1aTDvCVtCDksoUa2/yAPQ/VVDXWFDedfA6r74sGEqoJro5dEVS3Y7PuQ8KLPDAbRTnNMNfJsPhks3DmeVqGdjm2IyHuYV/qWgW1qyM8bj1r9PiVT1ZUiP+OTvZWOGTNG4uLiTFNSUlKx71NyUmReznqvpY98CAIvvf0h/hbkihTkuG8qzBVBO8vCvKK/aLOICa/Vwwk7N6XmgSGodSGNuWJY/6vnjgsFPHv5ZDBZuOOE29aVZ2e8xDSO3UXkV4Ixr5zhQC2HOy+tV+rt3NzJdpvFNfs5/I8/8nhwmJCQIMePHy/2Gd7HxsZafMIDo0ePltTUVNN06FDxjgZQnTS3Gjo3oYBlLHQweMs7F2ydC+T8ppqxJnL2fDtFCm6eyCeDyaeLdtv8vroTHcn0alLN5vc7jvF3S+QtzCsd881q+8Fhl/qVS72dqHDbYcSJ9PMltuQ/PF6ttEuXLjJnzpxin82fP199bg26J8ZkTdP4pjK278eyefoNknniKNsd+iNVRbPwXMmf+6qE+QP0gppVziCVY0qfMVNg8EQ+GSxSs+2X5N3cubbD62tS3fawF4fOZEnHeq4NGk1EpcO80j6jA1XjG1aLkWpu6H25qId46/aetN5RGAVQcJiRkSG7d+8u1q3wxo0bJT4+XmrXrq2e0Bw5ckS++uor9T26G/7kk0/kySefVF0VL1y4UL7//nv5/fffS5VwDEXQ6KobJSMrRf7K3SRbwpIlNypU+ta7UuLCY6VSREU1JIMaNsIQrv4iiNTODWmQW5grp7JPidFolNUn1kheYZ50q9FVEmMSJdRw/rAUDYpgelP8vfqs6H3RuovWX6AVqG0UDcmA4R40CQkNkz1p+9RQCvXj6klK9hkJD4mQvWf3SFRYpGTlZ0mduLoSEx4jYYZQNQyCGhoDQ0uEFD2ZySnIUenG93tT9khWfqY0q9pC4qIrSaHRWDTkg6aJpoZaKJAzuSmy88wOqRVTSxpVbCQ5hdmSknNWIkLCJCIkQrILsiUnP1sSyidKIdIcEqbWLdgegjezHz3WGxISqoZpyC7IkpTMUxKiidSMrS3lI2PEKJqczkuRtIzTUiGqoqTnpkpCdDXJPrZRwvNzJPToOonMPC05oslOQ6FU1AxSW4uUswZNIjSRWEOI5KshH/QNYviNc8NJqAu16MjrWZ4+X6Fo6jt8jgnDWiDUNL0/d5GfMRjV63AxSIoYpbYWKhFiUOnGcBlYX/a57ZfT137uEGC5UDQvNIgUiCYFpm2hL1yjVJMQKTw3H25TT0qhhIpB6mjne+jC/DiLIZEGMZQzSEiIQSr3vb1UvwHyXb6STwaDXcftl+R1qOt4MIffpi3frT0k17ar5fD6iMg65pXut2pv0fBdtjzet4mUFX34OArg4HDt2rXSq1cv0/tRo0apvyNGjFADkR47dkwOHjxfnI0uh/GjffTRR+XDDz+UWrVqyaRJk9zS5XD8sJsF/+TjFntXyi7ZeGKjDGxyg9Pr6SHDpCw0kEsu+Kydi+tq7eB8F27RcxrqLwoLRCZdXvzLcBGpGOlU2gMaosXENt5OBXmIL+WTge5slv2Swxg74xc6IzuPw1kQuQvzSvc6lpotY+busDtfpWjclLlHq1pxNnslTcspkLhy7tseeZ7T/2L27NlTPQWwBj9mS8ts2LBBPKlxpcZqIi/IPC1y9oDIkXUiG772dmr8Q1InkYjiozxS4PDVfDIQhdkp6buypeWRTonI+5hXutddX61zaL7oCPc9MOvXMtFmcLh45wkZ2Mb6EEEUhG0OKYBlnxX5aqC3U+F/IiuIXPmmt1NBFBDmbDlm8/sRXeuWWVqIiLzl792nHJovKd5yxz2ualDN9oPuDQfPMjj0MwwOyTkZJ0WmX+ftVPiW2p1F4hsUlZym7BOp3kIkP0ek3qUi6ckieZki8fVFYmuI1OogEhnj7RQTBUzHCzuS091epbRLg8qyco/1djs5+YUSFX6+TTERkbe96UB1Unj3evc2aUmMsx1s7kjmuJL+hsEh2Yc2hOu+9J8qo6ERInUvEYmOF0k7JhJfTySpo0i5eJEKCSIhYed6mjnXU2oofwZE/ui/Exk2v7+ls+0xuKzp2biqzeBw2X+npE/z4gNxExH5uuvb15JyEWX7YCszl+20/Q3vism2oxtFfn3Y26kQ6faQSMW6IuWriMShp0BDUa+qpaGW9/hQn0TkIb/bqVLaOMH2sBSuLvft6oMMDonIr3oohWF2Bq0nAgaHZN3+v0X+eKbstlelkcigcSKh7NWKiOxbtOOEze+bJ8a6tN7ydjpr4MDOROQr0IPy67//65ahelyF0khbPTmzKr5/YXBIlk27RiTLsSdRTrv8BZGIGJH8TJHqLUViqnlmO0QUsGz1cKiLCHOtZkCoh26giIjc7fU52x2a74HLTAOOud3t3erJp4vOj1dZ0lcr98td3Rt4bPvkXgwO6UITerh3fQM/EUm4yL3rJKKgtu9UpsfWHR7K4JCIfN+ZzDzZdMj6MBLmLmlYxWPpQDV7W8Hhr5uOMTj0I4EbHGadETn1X1HvkHrbNHRAknZEpEIiOyGxZuJlpV9HlwdEWl4rUpDNsfyIyCPQPbq9gZldZUCHVUREPu4tB3sonTGyk5R3oedmR7G2RWAJ8/sAMPNU0RACexaKnNrl3PINLxdJ2S/SsI9I6xuLerAMVujV85sbXV/+pu+KegI1x8CQiLw0ptetHh7fMK/A6HK1VSIid9h+zP4wEXf3qC8Vorzfl8PZrDypGB3h7WRQwAeHKz4uCgpdtXtB0d/Te0T+GW95nnrdi4LIsHIiZw+KhJcrGhYhkNrJpRwQ+X6488vV7iJyxWsshSUinxvGItqDT8kBnS8wOCQib8DDqWvHrXBo3ksbVpWygM5uMPasNYt3npRBF9csk7RQ6fj3XX1pAkNH7VtaNFmDIDEuqShQqtW+qPQMAaS/QFVbZwPDyAoiI34N7pJWIvKarUfst7GpERdVqm08eFlD+Xih9TY08/89Lte1w7A6RERlJ7egUK4bt9Lh+eOiy6bU0FZgCJsPpzI49BP+Gxzm2C9KLxMZJ4omVG01d9XYomARfDmImnS5c/P3fUOkbjdPpYaIyK7RP22x+X1iXFSp2w1e0qiKzeBw6or9DA6JqMw5Exh+dXtHKSsDWieqjmesWbP/TJmlhYI1ODy6QXzanMctf16lsUiPp0SqeK5LYYelHRXRjI7Pf+0XvpFuIgpaJ9Jy7M7z/pA2pd5OtJ2xDomIytqy/046NX+l8mXXxq9H42o2g0PyH/77r99Jx3po8jnoNOfHO86/73SPSOO+ItHxZZ+Wb4Y6Pu/dSzyZEiIih9zzdYlaGhZ4slc+IiJvQLXNt+ftdHj+r+/oJGWpUbUYh/YBbRPJt/lva/oj6yUgoCOcaYOLxhbMtt01u1sd3ej4vCMXeTIlREQO93aXX2i7XYs7xZazHWRqWtmlhYiCV2pWvgz89G+H57+vZ4Mya2uocyTom7bqQJmkhYIxOMQ/yImtRSomSUD5amBRkIgqs56+6fj1YcfmG/7z+XEiiYi8aPU++21Wvrytg9u216uJ7V6pD57Jctu2iIis5XvDvvjHqWX6tigxtFgZub697XbYP6w7XGZpIdf5510/Ohrocp/IkK9FbvpeAs6vj4h83rNoQPq8TPevf+Vnjs037EeRchXdv30iIhf8uN7+jUWVmEi3ba+SnTG55m8/7rZtERGVrJmwZNdJefW37U4t1zopzmtVN5smxHplu+Re/t8wo0L18+3hCnJFQsLPl3TlZYmERZ1/byw8Px8CzJ1zRf77U+TEv+KTkN4vrxLp/ZJIg15uWqdRZPN39udrea1I+Sru2SYRkRscPWu/MxqHe7v+Y7RI8tbzbb9b33hBz9I9mlSVKSv2W13NzxuPyp2X1ndPmoiIztl06Kw8N/tc/uSkV/7XUrylbW0WKAQC/w8OzYWVeGIcEV38fUho8c9bXlM0lYQqnRhDEdU7M46LxNcXyTot8t988Yq/XhI5vVukw52lHxZjSn/H5uv2UOm2Q0TkRo607xvasbb9Fe3/W+SPZy5s+42pRMdb7iyFJCJyxM7kdJcDw5/v7+bVDl/CQu1XSFy7/4y0r+uFThgpSINDd0EA1vDyosncZc+df332UNHNhLEAC4gcdHzcGZds+FokpppI84GlW0++A21k2DMpEfmYGasP2p2nf6tE2zNs/VHk74+sf48233ctLvYQbniXOvLVSuudKBw6kyVJ8SUeRBIROdnZ1pr9KbLnZIb8vtm14SBmezkw1L30vxby0i/brH7/8q/b5dcHLynTNJFzGBy6Cp3h9H39wiqbZ/aKRMWJ7P6rKHh0p2XviZzYIdL9Cdc6iUFpqD3XTHQpaUREnpKeky/frj5kd764cjZ65zuwwnZgqEPv0cNnm972alrNZnC47L9TclMnB0osiYgs2H0iXR79blOp1vHFiPYS6gOBIbSrU8nbSaCg7JDGVyFgwyDxMVVF2gwtKoHTpxG/umcsw51zRCb2Etl2/ubFYX+9bH+eqo1dShYRkac8MXOz3XmubGmnd77Fbzq2sewUkZTz7Qxjo2x3B//LpiOOrZeIqITsvMJSB4af3dxWqsVGiT/JykOtO/JVDA7LSlSsyC2zzgeLKF0sjeXvi+yY4/j8mafsz3Pb3FIliYjIE46czbY7z13dbXQMU5gvkpPq+Aa/H2F6GR5q+2l8Zm4hxzskIqdk5BbId2sOyg0TStck6dn+zXyyWntFO2Mszt5wtMzSQs5jcOgtGD/w0sdEkjq6vo4lbzk+HuLX19qfp2QHPkREXrbhYIrdecpFhEq4rY4QJvV2fsNoJqCaoNuvqrX7RIbz6yeioCslPJWRKxsPnZWhn6+Sr1fZb0dty/SRnaRz/criiz69ua3N779xoA05+Vlw+Omnn0rdunUlKipKOnXqJKtXr7Y675QpU9Q/ruYTlgt6uOFo/j+Rq94pKkkcuUikzyvOr+f0Hvekp+Nd7lkPESnMJ93jhZ+td2yg+/yWdu7f8PEtppeRYbb/qfx86V73b58oSAR6XpmalS93TFmjSglv+3KNPO9iT6S6sde3Vh262Kvy7k2OpC0n/9zwcuT/weF3330no0aNkhdffFHWr18vrVu3lr59+8qJEyesLhMbGyvHjh0zTQcOWG/cH9TtFev3KAoUnQnUfrzD9ITbqjQHiu+bXuX4NonIJuaTZdsupaKtwerREY0rfnnI4afgO5LTXdsGUZAL1LyyoNAo87YekwEfL5dhX/wjJ9Jz3bLeNwZfJE0SKog/SIovZ/P7jxf+V2ZpIQ8Hh++9956MHDlSbrvtNmnevLmMHz9eoqOjZfLkyVaXwZOdhIQE01S9enVnNxtc2twkUqeb4/MvfsP2998Pt/19jTYi5di7FJG7MJ8sPbTjGzJhld35Jt/awfYM80a7nohzD96q+1lnD0T+IpDySlQb/Wv7cXl85iYZ/NkK+XSRm2p2nTP19o5yUa1S9ldRhp6+spnN75fucqAvDPL94DAvL0/WrVsnvXufb78REhKi3q9cab1RbUZGhtSpU0eSkpJk4MCBsm2b7WpCubm5kpaWVmwKuiqnV74h0rivY/P/N9966SE+R2cMtlz5lvNpJCKLmE+6x6Kd1ksOzFWtYGOg+t0LSpeIXfMcnpWd0hAFVl5ZaNSK/a5Rk8Fo1NTQOhiLEKWCmEZMXq3+otrohwv+U4PYu9voq5pKfHkbNSR8UO3K9vux2JEcWP9uBeU4h6dOnZLCwsILntLg/Y4dOywu06RJE/UEqFWrVpKamipjx46Vrl27qh9zrVq1LC4zZswYefllB4ZdCHS9nhEpyBHZ68Cg9D/dKXKdhSdtUwfYXzacT8WJ3IX5pHu8P99+laOHLm9k/Us8GFvgQjvukp1+naty3zopTjYdSrU53mH3xlVLtz2iIOKLeeXpjFx554+dsu2o40HLmcw88RTUWri3Z31pV8cNQ6F5QbUKkTar1GKYIrSfpCDrrbRLly4yfPhwadOmjfTo0UN++uknqVq1qkyYMMHqMqNHj1Y/en06dMj+4McBC53UoC2iIx3T5GVd+HmenV70Wg1xPW1E5BbMJ13rqKBjPRs3TPuX2l/BzT/Yn6ewqN3jvT0b2pwNN5RE5L955dmsPLn1yzVOBYae9MO9XWTSiPZ+GxjCuGH2Ows7kZ5TJmkhDwWHVapUkdDQUDl+/Hixz/Ee9b4dER4eLhdffLHs3r3b6jyRkZGqwbH5FNQuGeXYfF/2K/7+5C77y7S+0bU0EZFFzCdL7/rxjo39FVfORo9481+0v4KYqiL93rY9z6YZ6k/NirY7VwBUOSMi/8wrH/luo3hb+7qV5PXBLVVpWmRYqPi7CDs9PcMDMzaUSVrIQ8FhRESEtGvXThYsON+Ow2g0qvd4muMIVCHYsmWLJCYmOrPp4FauosgVrzk2b65ZSeFPI+3PH+2/T6SIfBHzydL5auV+h8f4sspeO2u44tWivwktbc+35gtxFMYwIyL/yyvRvvB0hueqhzri7etayYsDWkirWhUlmKAjn7QcB/Js8t1qpehyeOLEiTJ16lT5999/5d5775XMzEzV0xSguB9F+LpXXnlF/vzzT9m7d6/qpnjYsGGq2+E777zTvXsS6OpdKlKpjv35pvR3fJ0YW5GI3I75pGt2HU+XmWsP253vtUEtbY+j5UhHMnXOtXOJKG9/3nMdfl3TtqbN2b5bEzhVe4mCKa/0RCcyzkDe0iwxcGp/mHvsisZ25/luNfNOv+2QBoYMGSInT56UF154QZKTk1W973nz5pkaFB88eFD1NqVLSUlR3RRj3kqVKqmnRCtWrFBdFpOTrpko8sUV9uf753OR9GP25zM7T0TkPswnXeud9L0/HagKrzqHsfNkfelY5/K/yg2K2m3bGi7osufkkoZV5Kf1R6zO9uf24/KgrU5yiMgn88pDKRb6bPCwOpWj1dS1QRXp1rCKBKqeTarJu3by9l82HZUrWyZIUrz9Hk7J8wyaH/S/jW6H4+LiVEPiQGpX45I5T4oc+qf062l6tUiPJ9yRInITXucUrNdPSmaeDJ+82qF5x17f2vYg0OiYq2T765KunSRSxSyIyzgpMv0628vcvUR1a/+/T/62OdvLA1tI29ocN9aT/PlaJ9+8fhbtOCHvzXfs4ZSr2tWpJFddlKj+hoYYJJhMW3VAvnegZsW7N7SWxtVt5O9UJvkki478TV87A947qvM97lkPEVEpvTHnX4fntRkYgr3AEMwDQ71jGnsKctXg2/ZM+duxNpNE5Dsiwz1zO3xTp9ry5W0dVAczL/2vhephOdgCQ7ilswPNojD62grmn76AwaG/CQ0TaeLAzY89kXwyQ0Tetf9Upho8eoeD7X1m2OqEBvYts7+SZlbGfm0xyPZy+5erP9/c1dl2Ek5l2k8DEfmUgkL3VqL79Ka2KiAc2rG2VImJdOu6A9nmw6mqgxryLgaH/ujSx0q3/B1/uislREQuee237fLgN453Yf7Wta2kgq1OaODP51zPP9sVdYBh1fL31Z+YSPtN9dPZ8x6RX8kvLOp0ylUta8bJ7Pu7yaz7uqqgsHZltp0r6b6eDRya74O/PFu9lzzQIQ35gNBwkTsXiEy63LXlw/gUi4i8Z/724/LPvjMOz393j/rSvIadNhMFDgwj0egKEWtVQzFkkC256SKFBar2BqpIoQ2NNTdN/EfdIBKRf6hZqZwMaJ0o+YWanMnMkz0nM9TYpihRDA8zSN3K5WXrkVTVZvDyZtVV1VA8BNpzMlPqVSlvNuZq8FUZdVSn+pXls8U2Ov46Z8We0/L75mPSv1XwDeXkKxgc+nP10sHjRWY52Xaw++OeShERkV1j5vyr/vF3xtWtatif6a+X7c/T6xnb32M8WVulj+gMrG43GdC6hs3gEHLyCyUq3P8HsSYKBk0TYtXkDNRkaGOv52QzmRkpkn46WaolNSnWA6s+vuPBnWukQqXqUqlabclKOy0nDu4Uo7FA6rfqLkf2bJQdv34thamp0nrEI1JQmC9bvhknUVWrS412l0r9Nt0lIqKcFObmFD0ACw2VUNwn+pD48hHy4Y1t5OFvN9qdd/ySPXJZ02pSLoJ5qDf41pVDzqnWzLVeSomIvADtC531ywPd7M90dIPIAdu9iErXB62XGuqqt7D9/R/PqF5LHblhuX78SpYeEgWQ/PxcCQ+3XfOqICdHwqKipLAgX7YumSXH/lks4QtXFX15bnCAbQ50bGVOfwwVcm7a/vcI9R4pwRqP/DhHrA+wI1Jl9NOSceqoJDRvJ7UatpXQsHAJC48Qb6hfNUaubVtTfrQxJJDuhgkrVVXdYOzAx9sYHPq7wRNEZt3t2LwDPrB/c0RE5Ea5BYWyKzlDnpm1xellvxjR3n4PoRig/tdH7K/sIjtDVUB0vP15MOxFTFW5pFEVWf7fKZuzotqZ3XaSRORTfr/3fxK162BRNXKU8BnOPQzSjOfuoQzF32NClGYsENGKd6bisV+/IaT4BMbCojTp34cUpfvUmDfV3/3ylVjrCzS7XoI0ve8Jqd+6xwWlmu42omtdh4JDGPTp33J9+1oyvEtdj6aJimOHNP6uWlORDnfYny80QqTGxWWRIiIiVa0SJYXXjVvpUmD4/pDWUi02yv6MvzkQGDa+0vENV7DTzuXceIgPXtbQ7qrQ9pCI/ENm2mlZcFkrifp3t0hhHqKtooCvMLdoMuYXfV7yfcG59yUCQ4/S9LRh+zlFE9KDNGDCa3zmoHL7kuXAE4/Joivay7o/pknyge2Sn5vtkaTjgd/3d3dxeP6Zaw+7VOuEXMeSw0DQdrhI+aoii4ueDlk04teyTBERBaEDpzPl2zWH7Jao2fPZzW0lKd6B3v6ObxM5tsn+fPW6O77xG74S+aKP7Xmyzki0I6WM59pYPnVlUwlh1Sgi33V0o/x9yzAJRU2EQIIAESWf6MjQQWffeV/Olvgs8tYbJaxceWl15TCJLh9X6mShaj46GpuwZK/DyyBAvKVLHRl8cU0JD2XZlicZNO1cJWgflpaWJnFxcZKamiqxsc41GA4qqAJxaqfI8e1FHdZUbSYSX18kzDt1y8k5vM7Jn6+fQ2ey5L7p60u9ngm3tJMaFcvZnxE3cRN7ObbSO+Y7lw9O6GF/nruXSF6BUa4dt8LurL2bVVcljQwQA+NapwC7fg6skJM/PSGbf06RwIfOasLPV0V1UYWH7pUGHXpL5cR6pVrPuMV7ZM6WY04t06h6jLx5TSuJCGOA6Kl8kiWHgQQBITpUsNepAhGRm6Tl5MsDMzZISiaqYZXOeEcDwzN7RWbaGZdQd8ss5x+Q9XhKZMlbtucxFkpEmGM96f3173G5vFk1NRYaEfmYWh1lT2qwPETXzlWZ1dslIlB0/qFV+kfjZKOMU69z6laXmjcOl4K8XGnR8xopF+14IHJvzwYSExkq36897PAy/x3PUA/lfry3KwNED2HJIZGP4HVOvnr9nM3KU/8Ir953Rk0Yc9CZ6kD2XNkyQe7vZb8Nn3Jwlcjcpxyb9+aZIjHVnE8Q/ln8vKf9MRMve1ZOZ+TKrV+ucWi17L3UPZhXkruvn7mjrpaI9e7L0/yLwe3jX+d2aCEVmrWQ2u17Sp3mne3O/9a8HS41R6hRMUom3NLexVQGtjSWHBIRkSMycwskOS1HCo2aNK5e4YJOZLYfS5OcvELZdTxdZm08Kkbjhc8Pl5WyTaG5d65v5fj4Yqf+czwwbDbAtcAQHHmS/t+fIt0elsoxMQ6vFse05DEnIu8zpuRL8NKK2iaGhBVNbhC5Zpvkrdkmu7/6XnZjGJCYKIm/7VZp3mOwxFSsesH8aJd9Kn2T7EhOd2o7R8/mmDqrQQ/SwzrXkRpxUfZ7uSabWHJI5CN4nZO7r5/UrHz5edMRSU7NUYHJ8bTcYstc0by6qvJoIf4rEw4Hho6U5JV01+LSDd2TnSLy1SD78929RA6nZMm9XzvW3vKByxpK3xYJrqeLmFeS26+f5T98JGd+/ErKH8sSX5NbO0wi4kMlL7VQYiqHSYta5SQ5vUAOrMqQyEwPZN5hDvQSbY0eUqA3VfX63HsMq6G3czw3T0G5CEl4dJS07HmthIaGCcKR9+bvksU7T5Z6F8JDDfLR0IulViUHOjYLUKXJJxkcEvkIXufk7usH1UFv+WK1+Jo2SRXl+aubO9ZeJPO0yNfXOLeBm74TqeCGAMyRjmng7iWy9UiqjP7JsSE7BrapIXdeWr90aQtizCvJI9eP0Sipn14qa3ZliWFL8QdpzorqWE4N3h4THSrNqkVIRp5RsvI1qV4+VEIsdAaTmW+U8uHubz9XYDTK2kPZcmpvrkScKpTC2uESsdeBUtLQSMcfrmFIDUwuOTceoyFE8i9pK10ffE1CysfLjRP/EUMpO83RzbynixQYNVUzpkqMe6vP+jIGh0QBgNc5ufv6QfZ+zbgVUlDoG9k8Opyp6UiHM66WFuod0Dg4zIRd+dkikx0YI7HNTSKd7nZ6LK6Ph14sdauUdz19QYp5JXns+jmzT6RcxaKxoWHDdJGN0yW7wChZeUapHB0mcskjqkOq9EUfyKHUfKkVFy6xvZ8Uia8ncmi1SJ1uIlWbXBhcoYdl8wHmkb+gOme5SsUfhmGcQgxPZik402/ZD6wQWfauSNbpUh+Pg6l58t+cVOfaIqJkUO/YxkNQowV7WyBhMr/bVRISFi6743uIMbQUJZsi8tqgltI6qaIEujQGh0T+j9c5eeL68YXBgx3uVQ7/HB36x/F2hSUN+1GkfBVxq/XTRNZMsj9fv7cltUpbGfaFcwPft69bSV4cwB6mncG8kkojYK+frDNF476irXXaMZGFrzq1eGpugexIzpXoiFDJKzTKyX+yJDxPO98WEfkzAlYEtGXEVpOHY1UryPKLbpC0Co2lcdoyick5JfsrdZZD0c1d2haGHGpQrbyUjwiTDvXiJSbSv7tlYXBIFAB4nVOgBYcYvuGR3o1tz4Sn57kZItOvK93Ger8o0uAy8QhHq5e2uUn+q3uTjPp+k9ObGNm9vvyvdQ3n0xaEmFdSaQTN9YPb+7VfFD3gKgVUid1zOlcOr8+UqLSyDxlK0yZ+c9NGsjnpSqmafVDSo6rKkbj2TldXjS8foWLiyuUjpUqFCGlcrYJc2riKVCwX4dNDaTA4JAoAvM7JE9fP4zM3yU4ne4ArjQ9vbCP1qpS33VvcGtywfOW+jV43WaRyA/EYZ8ZVFJGVl30rb8zb4/LmvrytQ1C1jXEW80oqjaC8fnCrv/k7kVVFYxOWxomsAtm6P1u0TTllmvyyCFZS48JlZ9N28m/VPpIRUU2S0tZJXmi0HI1prb4P1fKkMMT5vLllzVi5pm0tNY4v2j5WiAyTyjGR6jVKagE9iIeFFg828T06PEuIK+d0SSaDQ6IAwOucPHH9rD+YIi/+vM2j225ULUb+16aG9GhcVQzGQpGU/UXtdtZNEfn3V49uu9S9kjpq31KRP593ePaz2fnyoOFpORvievtH3Ay8fV0rSYoP3h73LGFeSaUR9NfPwteLhuJxk5NZBfLvkWzJ2JkrkemeCylMHaGKfzqcFCfLWt4uCdl7xFCQI2mRCVLr7EY5GdtEjJpBYjKPyZnYBnI6uqFkRBT9uxGTd1JqpW2UE9EN5Uz5RqJpRlXyqf+FKbd1UIFmSQwOiQIAr3PyxPWDcQrHTv1O1qbFS3aIC0GGpkm8dkbCtTyJN6ZI/1pZ0rpZE6mYvEpk72Lxmj6viNR3sLqnuyx+S2TnHIdnzykwyqEzWbI0sofMjhrsliD26laJcmPH2uqJcly5cIkKL3rqHEyYV1Jp8PpBxzenRL6+1mOr33wsR04u9myNFW8NweRr/uncTYY/+aHUrlz833cGh34Ch9pYqElhgVEK8oxSkF+o/uLzyHLh6q8+Hx6NhEeGqqpZeB8SFiIhoQYJCwsRQwgH9wxEgXKdk49dP3lZYpzSX06n56ihLRwRGR6i2lNooqngI7JEVRevG/aTSPnK3tm2o+0Pz0GuvvtERrHPToVUlRnRN8n+0HpuLfXs1aSqtKsbL02qV1CBY0ZugVStEHjVU5lXUmnw+jGTcbL07b1tKNSMEnquhOtYRr6sW5km5U4Z/bbaqa/6u1N3eent8W67zv27K55zstPzJOV41vkyZwsKC4qCMtNFdK6PXNz8FI3Vee69phV9fy6Qw3yY8PRdD+z0+dVn59aL7wryCqWw0CiF+Zi36DP9O7xHGtwhLDxECvKL/7gQSFatXUFCwwxy4kC65GYVqGCyUfvqElk+TKKiwyU0IkRCEWSGGNR3agopCjoN5p+pqehzNW9I0fdE5IeSN0uIZpSqMRFq0iE3Mv9V68MV+1gYWNyIX0WivHwzd/cSpwJEHOOG1WIkJStPTmcUBedVjCfloYwPrS5zOqSyTI2+VY6E1lLvNazFgSBy0c6TaiottBmNDAuRtnUqSaXoCImNCpMG1WKkemxU0b99msjBM1lSsVy4VCp//ppSaT33byiSi7/494OIfFRM1aKq+Zu+FfmneHDhsnqXilRvqZoXhKK9dq0OaniPxJT9cnWzxapHavSGitLFY3tzJPpIYak3ifzGECDVT13R7Z+lcvxsulSvWEHcwaWSw08//VTeeecdSU5OltatW8vHH38sHTt2tDr/zJkz5fnnn5f9+/dLo0aN5K233pKrrrrK4e1Zi35R8rbmt31y6N8UZ3eBXPjhFQsa9cAxNMRyYHkuqMSdJko/1Q/33K9Xv1nAckWfF21Av/fR5zPgfyHFP9NZuuEw3TuVuImydk9l6jDDxr3L+WUNJbZRYj5xcNumTRqkRqOKUr7i+af6fJoZWHwln0z97nEpOLi26CGPGmvYzTfrJf8FURFBKbahPwHWVxFVUWTQ+AvXiSAkv0AMYaF6JmJ9nfhKM0ushUzBZgc6eo0O8/f7l4thxce2tnrhOjA82enipYiesDe0gdQvLOoQZ3doI8kxRErLgq3q/X+hjWV3WCPJMJQ3HRbNIFJOy5Xm+duknJYtx0ISJTMkWpoU7JTkkEQ5FVJZsg3REiH5km6IEU1CJEZLl3xDhORKUR5WXsuU0yHxkicREi1ZUslY9O+yUUIlPaS8ZEgFqW48IRkh0ZIpMdKkYJfa9o6wphKvpUioFEiaIVatL88QKT1b1JTLWtaS6JhYqVAlsdj+Ma8MLL6SVwIKA86eyJKzx7NUAcD5L8yCDgu3zfgM/66jwEH9HwUL55bTYX3qc30959avF0joBRTIi1RBhKk22fn59UILfdV4bcrTzz2Y0fPQojSVuNc5tw3URkNBAxTmGyWyfLiEhoqEbJgqkpMi+YUREmIolPLh6WLUQiUspEAMBqPaQ3yOvwaDdv5vRDmR7o+LoUL1ogIH3NOp1Z+7tzO7pzNPT9FLgxiMBWoMSMOJbXLk5xckM9co6H9l3z8ZEp5T/HgbTMe/5N8LzorZuStNqKiVYll3rsO27JF3yeCb7vFOyeF3330no0aNkvHjx0unTp3kgw8+kL59+8rOnTulWrVqF8y/YsUKGTp0qIwZM0auvvpqmTFjhgwaNEjWr18vLVu2lNLYtOAQA8Mygt9VUelr6Z/wUJGY+KhiwSEFDl/KJ3/8s6poBbeK3zEP1lbMFd80wmaNFWvK4ol2yaGx10h302uMBGlpNMgzUtP0uhwGx5aiaw+3FfqtxfnhukuuoYrZJ5FW5kyS81f/Req/RX0AFn16fiAPo2RuPyS/zjwkoXJUWr1yr7SrYzZQOAUMX8orc7PyZcWPu+XkIc8/wPFdV4rknCmqbuqIikki4dEiuSLyeyoeR5Zy+8j3Xy3KQqCrSDZyhLwsyUjeL4bs0uWegVyaWLhhvchN4p2SQ/x4O3ToIJ988ol6bzQaJSkpSR588EF5+umnL5h/yJAhkpmZKb/99pvps86dO0ubNm1UZuAIS9Fvfl6h/PLBRlNVUSJ/c+mQxpLYIM70nk/DA4ev5JOSfVa+vH+cGAuLl7z4pHNPkP2Si0+lA/lGxV0MclSSnrxdrmiRYPqMeWXg8JW8Ek2CFk3bIWeOZrpt3/xaXqZI+lGckAu/i64kUr6qz+TXWkGeGELDJD/jlBgLC0QzGiU3LU20Qk1CC1xYn5hVNvEjhpDfZdjEbyUStWnKsuQwLy9P1q1bJ6NHjzZ9hjZrvXv3lpUrV1pcBp/jqZA5PBWaPXu21e3k5uaqSYcd03dUd+pwuqRnnH9P5G/S09OkfNr5zFW/vv2gjyjyk3xS9v0tOTk5Uqjh2auPKYvhJ8oag0S3M0iONKscXuy6Zl4ZGHwpr9yy5LAc3nu8VPsTcMqbP1Qs0Uo9x8eC6IK8ohLM8KK34dEVL5ilEPMYCyQ/K0MNBREWVU4Kc3MlLyNNQrKdjyI18S0VCzMlNytTFeKWNp90Kjg8deqUFBYWSvXq1Yt9jvc7duywuAzqkFuaH59bg+oCL7/88gWf42kSUcB41fLH6enp6mkP+Sfmk0Tu9eC3ljNL5pX+jXklkZvNjHNLPumTvZXiKZL5kyFUMzhz5oxUrlzZYqcBiI7xIz906BCrmLgJj2nZH1M83cGPuEaN8y1viNyVTwJ/1+7F4+mdY8q8kpzBe0rv4zH1r3tKp4LDKlWqSGhoqBw/XrzoHe8TEs63BzCHz52ZHyIjI9VkrmLFC4uIS8LB4UXnXjymZXtM+RTc//l6Pgn8XbsXj2fZH1Pmlf7P1/NK/q7dj8fUP+4pnRrSKiIiQtq1aycLFiwo9gQG77t06WJxGXxuPj/Mnz/f6vxERP6M+SQRkX3MK4l8k9PVSlE0P2LECGnfvr0ahwbdDqPnqNtuu019P3z4cKlZs6aq4w0PP/yw9OjRQ959913p37+/fPvtt7J27Vr5/PPP3b83REQ+gPkkEZF9zCuJAiA4RDfCJ0+elBdeeEE1AEb3wfPmzTM1ED548KDqbUrXtWtXNQ7Nc889J88884wasBS9SpV2PBpzqC7w4osvXlBtgFzHY+p+PKbBwxfzSeA16F48nu7HYxpcfDGv5DXofjym/nVMnR7nkIiIiIiIiAKPU20OiYiIiIiIKDAxOCQiIiIiIiIGh0RERERERMTgkIiIiIiIiBgcEhERERERETA4JCIiIiIiIgaHRERERERExOCQiIiIiIiIGBwSERERERERMDgkIiIiIiIiBodERERERETE4JCIiIiIiIgYHBIREREREREwOCQiIiIiIiIGh0RERERERMTgkIiIiIiIiBgcEhERERERETA49DOnTp2SL774Qu666y5p06aNhIWFicFgkClTpkggOH78uNq/wYMHS61atSQiIkIqVqwoPXr0kKlTp4qmad5OIhH5uHXr1slLL70kXbt2VfkH8pGkpCQZNmyYbN68Wfwd80kicoelS5fKyJEjpW3btlK9enWVl8THx0uvXr1k2rRpfp+XMK90jUHjkfErs2fPVhd5SV9++aXceuut4u9w8zZ9+nQV9LZv317q1KkjR44ckRUrVojRaJTrrrtOvv32WwkNDfV2UonIBxUUFEh4eLh6jZucTp06Sfny5WXDhg2yZ88edXOAPAZ5ib9iPklE7vD444/Lu+++K40bN5Z69epJpUqVTHlJYWGhDB06VGbMmCH+inmlaxgc+pmVK1fK119/rS7yDh06yEcffSQTJ04MmODw4YcfVk+v8CSratWqps/XrFkjvXv3lrS0NJkwYYIqOSUishQcosTw2Weflauvvtr0jz5uBF544QV5/fXXpUKFCrJ3716pUqWK+CPmk0TkDtu3b1claTVq1Cj2+e7du6V79+5y7Ngx+fXXX1Ve6o+YV7qGwaGfu+eee9SFHSjBoS1jxoyRZ555Rnr27CmLFi3ydnKIyM/gn7tmzZrJzp07VVX8ESNGSKBhPklE7vDaa6/J888/L48++qi89957EmiYV1rHNodeNGTIENVe8Mknn7zgu127dklMTIya/vvvP/E2VMnKz893apk5c+ao/WvQoIGkp6dfcJPWt29f9T1+oI5o3bq1+nv06FGn0kFE/sud+STW06pVK4/lI8wniShQ7in16vmoiu9uzCt9HEoOyTvOnDmj1apVSwsJCdEWLlxo+jwvL09r3749SnS1iRMn2lzH3Xffreb78ssvPZbONWvWaNHR0drgwYO1/Px8p5a9//77VfpuvfXWYp+///776vPu3btrhYWFDq3r448/Ni1DRMHBHfmkuXbt2qllJk+e7NZ0Mp8kokDJKw8ePKjVrVtXLbNkyRK3ppN5pe9jcOhl+AHjh4wfNH7Y8Mwzz6gLdtCgQXaXL4vgMDs7W7viiivUdq677jqnfsxZWVlas2bN1LIzZ85Un23evFmLjIzU4uLitP379zu0HmRu+nreffddl/eFiIIvn9QtW7ZMLRMREaEdPXrUrWlkPklE/ppXrlixQhsxYoQ2bNgw7bLLLlN5JNbz2muvuT2NzCt9H4NDH/DEE0+oC/SGG27Qli5dqn6QiYmJ2smTJ30iONR/zH369FHbGjJkiFZQUODwsuvXr1cZTXx8vLZ7927toosuUuv5+uuvHV7HU089pZapV6+elpmZ6eJeEFEw5pOQmpqqNWrUSK0D+YknMJ8kIn/MK6dNm6aW0afQ0FAVGObk5HgkjcwrfRuDQx+Qm5urtWnTRl2osbGxmsFg0ObNm+fQsqUJDvG0pEmTJg5PehUDTA888IBT23r77bdN+4e/Q4cOdXjZb775Rh2TqKgobeXKlU7vJxEFdz6JG4+rr75aLduxY0e1LkcxnySiYMkrsezOnTu1Z599VgVgnTp1MpVA2sO8MnAwOPQRmzZtMv1I7r33XoeXK01wqD85cWW68cYbndoW6oDrbX3wBCslJcWh5RYsWKCqC+Ap1qxZs5zeRyIKHK7mkyNHjlTL4IbE0ZJGHfNJIgqWvLJksOdM4Ma8MnAwOPQRep1wTF26dHG4iL2sqpUajUbTDRbSl5aW5tTyW7ZsUT9Ivb3Phg0b7C6zevVqLSYmRj3hcXfnEUQUHPmkfsOSlJSkOlnwJOaTROTP95TmTpw4Yco73Y15pW9jcOgD0EkCnmIkJCRovXv3Vhf7yy+/7DPBIX7E+nZQxQBtd5yBOuutWrVSy6OxM/42b95c1Tm3Ztu2bVrlypXVvOiFioiCmyv55FtvvaXmq1atmrZjxw6Ppo/5JBH5+z2lOQSUaK+I6pfuxLzS9zE49DL8KPR613PnztWSk5O1qlWramFhYdqqVat8Ijhcvny5etKCrpDPnj3r9PKPPvposWoDw4cPt1lVYd++fVrNmjXVPC+99FKp009EwZdPfv7552r+ihUrOvRUubSYTxKRv99Tmlu0aJFaT4sWLdyaRuaVvo/BoZfdcsstF1zUP//8s/qsYcOGWkZGhk9UK/3pp58cbpRs7q+//lKZAKol6HXCS2Ze5o4fP27qUfCxxx5zW/qJKHjySXRxjifeqEKELtrLCvNJIvKnvBIdu1jKs1AFE/NjubFjx7o9ncwrfZsB/xHyipkzZ8oNN9wgzZs3l7Vr10q5cuVM3911110yceJEueOOO2TSpEnFluvcubPp9b59++TEiRNSv359qVq1qvqsbdu28tlnn4m3paSkyEUXXSTHjh2TBQsWSM+ePU3fLV++XHr06CHVqlWTLVu2SJUqVdTngwcPltmzZ0t0dLRcf/31FteLeceOHVtm+0FE/pNPIj9MSkqSvLw8lf8gP7Rk0KBBavI25pNE5K17SoPBIBEREXLxxRdL3bp1Vb65d+9e2bRpk/oe65s+fbqEhYWJtzGvLEPejk6D1eHDh7VKlSpZbUiLpzv60w48YTFnr9enHj16aL4AY+wgPRhzx5LRo0er7wcOHGj6DGm3t3916tQpw70gIn/KJ1GFyJHe8V588UXNFzCfJCJv3VN+/PHH2jXXXKPVr19fK1++vFoeVTCR3/hab57MK8sOSw6JiIiIiIhIQrydACIiIiIiIvI+BodERERERETE4JCIiIiIiIgYHBIREREREZGzweG4ceOkVatWEhsbq6YuXbrI3Llzrc4/ZcoU1U2u+RQVFeWOdBMR+SzmlUREtjGfJPJNTg1cUqtWLXnzzTelUaNGGAJDpk6dKgMHDpQNGzZIixYtLC6DH/zOnTtN7/FjJiIKZMwriYhsYz5JFADB4YABA4q9f/3119WTn1WrVln9IeOHm5CQUKpEGo1GOXr0qFSoUIEZAQUs/OOYnp4uNWrUkJAQ1vj2Z97IK5lPUrBgXhkYeE9J5Jv5pFPBobnCwkKZOXOmZGZmqqoA1mRkZEidOnXUj7Ft27byxhtvWP3RW4MfcVJSkqtJJfIrhw4dUk9UKTCUVV7JfJKCDfPKwMF7SiLfySedDg63bNmifrg5OTkSExMjs2bNkubNm1uct0mTJjJ58mRVpzw1NVXGjh0rXbt2lW3bttlMaG5urprMo199B1GlgCgQpaWlqX+w8DST/J+n80rmkxSsmFcGDt5TEvlePmnQ9F+Jg/Ly8uTgwYPqh/nDDz/IpEmTZMmSJVZ/zOby8/OlWbNmMnToUHn11VetzvfSSy/Jyy+/fMHn2CZ/yBTIP+S4uDhe5wHC03kl80kKVswrAwfvKYl8L590OjgsqXfv3tKgQQOZMGGCQ/Nff/31EhYWJt98843DT3n06Jc/ZApkvOEJbO7OK5lPUrBiXhm4eE9J5P18stQtuVHv2/xHZ69OOaoQJCYm2pwvMjLS1LWxPhER+TN355XMJ4ko0PCeksj7nGpzOHr0aOnXr5/Url1b9YAzY8YMWbx4sfzxxx/q++HDh0vNmjVlzJgx6v0rr7winTt3loYNG8rZs2flnXfekQMHDsidd97pmb0hIvIBzCuJiGxjPkkUAMHhiRMn1I/12LFjqqgSjYLxI+7Tp4/6HvXGzbtLTUlJkZEjR0pycrJUqlRJ2rVrJytWrHCoLjkRkb9iXklEZBvzSSLfVOo2h2WB7QsoGPA6p9Lg9UPBgtc6lQavHwoGad5sc0hERERERET+j8EhERERERERMTgkIiIiIiIiBodERERERETE4JCIiIiIiIiAwSERERERERExOCQiIiIiIiIGh0RERERERMTgkIiIiIiIiIDBIRERERERETE4JCIiIiIiIgaHRERERERExOCQiIiIiIiIgMEhERERERERMTgkIiIiIiIiBodERERERETE4JCIiIiIiIiAwSERERERERExOCQiIiIiIiIGh0RERERERMTgkIiIiIiIiIDBIRERERERETE4JCIiIiIiIgaHRERERERE5GxwOG7cOGnVqpXExsaqqUuXLjJ37lyby8ycOVOaNm0qUVFRctFFF8mcOXNKm2YiIp/GvJKIyDbmk0QBEBzWqlVL3nzzTVm3bp2sXbtWLrvsMhk4cKBs27bN4vwrVqyQoUOHyh133CEbNmyQQYMGqWnr1q3uSj8Rkc9hXklEZBvzSSLfZNA0TSvNCuLj4+Wdd95RP9aShgwZIpmZmfLbb7+ZPuvcubO0adNGxo8f7/A20tLSJC4uTlJTU9XTJaJAxOs8sHk6r+T1Q8GC13rg4j0lkXuU5jp3uc1hYWGhfPvtt+qHiqoAlqxcuVJ69+5d7LO+ffuqz23Jzc1VO2U+ERH5I0/llcwniShQ8J6SyHc4HRxu2bJFYmJiJDIyUu655x6ZNWuWNG/e3OK8ycnJUr169WKf4T0+t2XMmDEq2tWnpKQkZ5NJRORVns4rmU8Skb/jPSVRAASHTZo0kY0bN8o///wj9957r4wYMUK2b9/u1kSNHj1aFYPq06FDh9y6fiIiT/N0Xsl8koj8He8piXxPmLMLRERESMOGDdXrdu3ayZo1a+TDDz+UCRMmXDBvQkKCHD9+vNhneI/PbcETJExERP7K03kl80ki8ne8pyQKwHEOjUajqs9tCeqNL1iwoNhn8+fPt1qfnIgoUDGvJCKyjfkkkZ+VHKJovl+/flK7dm1JT0+XGTNmyOLFi+WPP/5Q3w8fPlxq1qyp6nfDww8/LD169JB3331X+vfvrxobo7vizz//3DN7Q0TkA5hXEhHZxnySKACCwxMnTqgf67Fjx1SjXgxeih9xnz591PcHDx6UkJDzhZFdu3ZVP/bnnntOnnnmGWnUqJHMnj1bWrZs6f49ISLyEcwriYhsYz5JFKDjHJYFjklDwYDXOZUGrx8KFrzWqTR4/VAwSPPGOIdEREREREQUOBgcEhEREREREYNDIiIiIiIiYnBIREREREREDA6JiIiIiIgIGBwSERERERERg0MiIiIiIiJicEhEREREREQMDomIiIiIiAgYHBIRERERERGDQyIiIiIiImJwSERERERERAwOiYiIiIiICBgcEhEREREREYNDIiIiIiIiYnBIREREREREDA6JiIiIiIgIGBwSERERERERg0MiIiIiIiJicEhEREREREQMDomIiIiIiAgYHBIRERERERGDQyIiIiIiInIyOBwzZox06NBBKlSoINWqVZNBgwbJzp07bS4zZcoUMRgMxaaoqKjSppuIyGcxryQiso35JFEABIdLliyR+++/X1atWiXz58+X/Px8ueKKKyQzM9PmcrGxsXLs2DHTdODAgdKmm4jIZzGvJCKyjfkkkW8Kc2bmefPmXfAEB0971q1bJ927d7e6HJ7sJCQkuJ5KIiI/wrySiMg25pNEAdjmMDU1Vf2Nj4+3OV9GRobUqVNHkpKSZODAgbJt27bSbJaIyK8wryQiso35JJGfB4dGo1EeeeQR6datm7Rs2dLqfE2aNJHJkyfLzz//LF9//bVarmvXrnL48GGry+Tm5kpaWlqxiYjIH3kqr2Q+SUSBgveURL7DoGma5sqC9957r8ydO1eWL18utWrVcng51Clv1qyZDB06VF599VWL87z00kvy8ssvW3yqhLrmRIEI/2DFxcXxOg8wnsormU9SsGJeGXh4T0nkO/mkSyWHDzzwgPz222+yaNEip37EEB4eLhdffLHs3r3b6jyjR49WO6NPhw4dciWZRERe5cm8kvkkEQUC3lMS+XGHNChkfPDBB2XWrFmyePFiqVevntMbLCwslC1btshVV11ldZ7IyEg1ERH5o7LIK5lPEpE/4z0lUQAEh+hyeMaMGaquN8alSU5OVp+j2LJcuXLq9fDhw6VmzZpq/Bp45ZVXpHPnztKwYUM5e/asvPPOO6rb4TvvvNMT+0NE5HXMK4mIbGM+SeSbnAoOx40bp/727Nmz2Odffvml3Hrrrer1wYMHJSTkfG3VlJQUGTlypPrRV6pUSdq1aycrVqyQ5s2bu2cPiIh8DPNKIiLbmE8SBViHNGWJjc8pGPA6p9Lg9UPBgtc6lQavHwoGaWXdIQ0REREREREFFgaHRERERERExOCQiIiIiIiIGBwSERERERERg0MiIiIiIiICBodERERERETE4JCIiIiIiIgYHBIRERERERGDQyIiIiIiIgIGh0RERERERMTgkIiIiIiIiBgcEhEREREREYNDIiIiIiIiAgaHRERERERExOCQiIiIiIiIGBwSERERERERg0MiIiIiIiICBodERERERETE4JCIiIiIiIgYHBIRERERERGDQyIiIiIiIgIGh0RERERERMTgkIiIiIiIiJwMDseMGSMdOnSQChUqSLVq1WTQoEGyc+dOu8vNnDlTmjZtKlFRUXLRRRfJnDlzSpNmIiKfxrySiMg25pNEARAcLlmyRO6//35ZtWqVzJ8/X/Lz8+WKK66QzMxMq8usWLFChg4dKnfccYds2LBB/fgxbd261R3pJyLyOcwriYhsYz5J5JsMmqZpri588uRJ9bQHP/Du3btbnGfIkCHqh/7bb7+ZPuvcubO0adNGxo8f79B20tLSJC4uTlJTUyU2NtbV5BL5NF7ngass8kpePxQseK0HJt5TErlPaa7zUrU5xAYhPj7e6jwrV66U3r17F/usb9++6nMiomDAvJKIyDbmk0S+IczVBY1GozzyyCPSrVs3admypdX5kpOTpXr16sU+w3t8bk1ubq6azKNfIiJ/5Km8kvkkEQUK3lMS+Q6XSw5RTxx1vL/99luPNFJGUag+JSUluX0bRERlwVN5JfNJIgoUvKck8vPg8IEHHlD1vRctWiS1atWyOW9CQoIcP3682Gd4j8+tGT16tKpeoE+HDh1yJZlERF7lybyS+SQRBQLeUxL5cXCIvmvwI541a5YsXLhQ6tWrZ3eZLl26yIIFC4p9hl6p8Lk1kZGRqvGk+URE5C/KIq9kPklE/oz3lEQB0OYQxf4zZsyQn3/+WY1Lo9fxRjF9uXLl1Ovhw4dLzZo1VTE+PPzww9KjRw959913pX///qrKwNq1a+Xzzz/3xP4QEXkd80oiItuYTxIFQMnhuHHjVJF8z549JTEx0TR99913pnkOHjwox44dM73v2rWr+vHjh9u6dWv54YcfZPbs2TYbHBMR+TPmlUREtjGfJArAcQ7LCsekoWDA65xKg9cPBQte61QavH4oGKR5a5xDIiIiIiIiCgwMDomIiIiIiIjBIRERERERETE4JCIiIiIiIgaHREREREREBAwOiYiIiIiIiMEhERERERERMTgkIiIiIiIiBodEREREREQEDA6JiIiIiIiIwSERERERERExOCQiIiIiIiIGh0RERERERAQMDomIiIiIiIjBIRERERERETE4JCIiIiIiIgaHREREREREBAwOiYiIiIiIiMEhERERERERMTgkIiIiIiIiBodEREREREQEDA6JiIiIiIiIwSERERERERExOCQiIiIiIiJXgsOlS5fKgAEDpEaNGmIwGGT27Nk251+8eLGar+SUnJxcmnQTEfks5pNERPYxryQKgOAwMzNTWrduLZ9++qlTy+3cuVOOHTtmmqpVq+bspomI/ALzSSIi+5hXEvmeMGcX6Nevn5qchR9uxYoVnV6OiMjfMJ8kIrKPeSVRELc5bNOmjSQmJkqfPn3k77//tjlvbm6upKWlFZuIiAId80kiIvuYVxL5cXCIH+/48ePlxx9/VFNSUpL07NlT1q9fb3WZMWPGSFxcnGnCMkREgYr5JBGRfcwriTzPoGma5vLCBoPMmjVLBg0a5NRyPXr0kNq1a8u0adOsPuXBpMNTHvyYU1NTJTY21tXkEvk0XOf4h4vXeWBhPknkXswrAxPzSiLfyCedbnPoDh07dpTly5db/T4yMlJNRETBivkkEZF9zCuJAmCcw40bN6qqAUREZBnzSSIi+5hXErmX0yWHGRkZsnv3btP7ffv2qR9mfHy8KtYfPXq0HDlyRL766iv1/QcffCD16tWTFi1aSE5OjkyaNEkWLlwof/75p3v3hIjIRzCfJCKyj3klUQAEh2vXrpVevXqZ3o8aNUr9HTFihEyZMkWNN3Pw4EHT93l5efLYY4+pH3d0dLS0atVK/vrrr2LrICIKJMwniYjsY15JFGAd0pQVNj6nYMDrnEqD1w8FC17rVBq8figYpJXiOvdKm0MiIiIiIiLyLQwOiYiIiIiIiMEhERERERERMTgkIiIiIiIiBodEREREREQEDA6JiIiIiIiIwSERERERERExOCQiIiIiIiIGh0RERERERAQMDomIiIiIiIjBIRERERERETE4JCIiIiIiIgaHREREREREBAwOiYiIiIiIiMEhERERERERMTgkIiIiIiIiBodEREREREQEDA6JiIiIiIiIwSERERERERExOCQiIiIiIiIGh0RERERERAQMDomIiIiIiIjBIREREREREbkQHC5dulQGDBggNWrUEIPBILNnz7a7zOLFi6Vt27YSGRkpDRs2lClTpriaXiIin8d8kqiUNE0kN0MkL9PbKSEPYl5J5HvCnF0gMzNTWrduLbfffrtcc801dufft2+f9O/fX+655x6ZPn26LFiwQO68805JTEyUvn37uppuIiKf5XP5ZGG+yNKxIrvm2Z6vUh2RlAOOr7dCgkh4dNFrzSiSst/yfFFxIuUqiYSEihhCRNKTRfIyRCo3EsnPEkk9bHm5ikkiBXkiGcfFLbC+s4dKv55KdUXCIkXEIGIwlPgrItlnLe9TbE2RtCOW1xleTiQ/27l0YJsIonSVG4gYQkVCzv3Tnn2m6Fh7UlSsSHTlotdn9jm2DK4BXC/2PoNO94i0GeqGhJIv8rm8kojEoGnm/7I4ubDBILNmzZJBgwZZneepp56S33//XbZu3Wr67MYbb5SzZ8/KvHl2blTOSUtLk7i4OElNTZXY2FhXk0vk03idByav5pN5WSI754is+Lj0O0LkYZpoYlDRtZmLrhfp+kCxj5hXBibeUxK5T2muc4+3OVy5cqX07t272Gd4uoPPiYjIg/nkwtcYGJLPBYBG0aTw3F/8L//c369Cc+SzsCw5bCg8v0DmSW8ml3wM7ymJfLBaqbOSk5OlevXqxT7De0S02dnZUq5cuQuWyc3NVZMO8xIRBSqP5ZNN+4sc+NsziaaAhIDtiMEoa0MK5KwYZX1IgZwwWKju6UFLQvLV3xfzy0vzrFNlum3ybbynJAqA4NAVY8aMkZdfftnbySAi8lkO5ZO1u4jE1hBJO1pWySIfhFK5n0Pz5JvQHPEnL4dnSpu0rXLNmZ3SJL6Jt5NDfor3lETiW9VKExIS5Pjx4p0J4D3qv1p6wgOjR49WdWT16dAhN3QgQETkozyWT4aEiLSw38kDBUaJ3+zQXBkSkXrBdGNEmt8FhrqNBWny+97fvJ0M8hG8pyQKgJLDLl26yJw5c4p9Nn/+fPW5NeieGBMRUTDwaD7ZpJ/Iyk/ckUzyoUBwYUi+TAxzsndTfxQWIYPqXOntVJCP4D0lkQ8GhxkZGbJ79+5i3Qpv3LhR4uPjpXbt2uoJzZEjR+Srr75S36O74U8++USefPJJ1VXxwoUL5fvvv1e9TRERBSKfyicjY0RaDBbZNqvofb3uIg0uKxo2AEMnFOYVDTFRtalIaPj5oSYKckQyT4lUqldUNfXEdpGdc0W0QpEqTURqXFz0OeaHwtyi3lHhzF6RYxtF4huIVGlUNNSBGvJCEzEWFm3bWFA0hl25iiJZZ0TCooq2j2Vz00USWqnAQI0NkXFC5OAKkXLxReuLSypKR9oxkf3LioaBaHB50bpSD4kc31Y0TEZ4VFF6MKxExdoi5asV7depXUUdnWCb+A5DTISGiVS/SCTrdNEyOCZIY/mqInsXieTniFRvIVK1SdE+YF9UZ98l/54boy87pej1kXUi8fVFElsV7Qv2DdvHMCAY1gLHJaa6iDFfJOOkyJk9Rcc1JFzk6HqR6CqSU7mBzDj8l/xxakPRMBU45hiyQm2rsCg9oRFFaTZ1QK6dPzfYJt6Hly/aJyyjltfOrS9UpCC3qKQZ2y3ILro2ImKKhuzA+nHcMHSGWieG0DCeW9b8M8yXWzR0Cl7jvIRGntumVnQ+8VfNl1M0TIkYRaIqFZ17bBNDm2BfMPSJwSCtq7aW+lVblP53QD7Jp/JKInJtKAsMPtqrV68LPh8xYoQaiPTWW2+V/fv3q/nMl3n00Udl+/btUqtWLXn++efVfI5it8MUDHidBw5fyieRxaee2iXHT22V4zFV5ET2STmacVQql6ssNzW9SbILsiUqLEpC9ECCfMLp7NNy34L7JNi9delbUjeubrHPmFcGDl/KK4kCSVoprvNSjXNYVvhDpmDA65zcff0kZybLE0uekDwjSmhcVymyknRO7CxDmg6RMEOYhKOUh9wOgfpzy5+TwxmHvZ0UnzCq3SjplNjpgs+ZV1Jp8PqhYJBWiuvcJ3srJSKi0qsUVanUgSGk5KbI3P1z1VTS4IaD5ZpG10gEqgKSSwqNhXLTnJvEb2maxKbmS+elp6TmoWzJjQqRNV0qy4EG5SXhaI7U35Uujf9F1dbzwkPCJTI0UvKNBZJbWLyznMrlqkhcZKzUvapDGe8IERExOCQiClC4+fa0Wbtnqcnc/W3ulzbV2khsBJ/K23Iq+5Tcv+B+8SXtqrdTE85dQvkEqRVTSwrPnpXQChVEQkMlZ+tWSX7J0rAAaMNYXQRNS0Wk1T8igknQ7jNKJK6qcwnRRPZff4NE1K8v1R59RMJr1HDH7hERkR0MDomIAliFiAqSnle81MbTPt34qen10KZDZVDDQWW6fV+XX5gvw+YOK9Nttq/eXhpUbCB1Y+vKxdUuFgM6krEALU3S//hD0v6YIfkHD8l+8a68vXslBIEpERGVCQaHREQBrEFcA9l4cqPXtv/Njm/UBO/3fF9qxAR3CdAnGz6RZUeWeWz997S6R3ok9XCogyEEgrk7d0rm8uWSNnee+CpVaklERGWCwSERUQDrW7evV4NDc48uftT0+oOeH0hiTKIEC6NmlKG/D3XrOltVaSWPtX9M9TbriPwTJ+TMF19I1tp14i8M5RzbNyIicg8Gh0REAaxt9bbiix5Z/Ij6O673OImPipdAlluYK8PnDi/1enrX7i23tbxNwjC+oBPS5s2T0xMniT+qcNnl3k4CEVFQYXBIRBTgvrv6O/lt728ybfs08TX3/nWv+vtK11ekSXwTCTRbTm6R1/55zeXl21ZrK090eMKpcSi1wkLJ2bZNTrwzVoxZWeLPKlxxhbeTQEQUVBgcEhEFgavrX60mW3IKctSQFAXGAjmZfVI2ndgkU7dPLZP0vbDiBYkOi5Yvr/xSAsUf+/+QyVsnu7Ts1/2+dno8Sa2gQPYPuVECRdWHH5KIWjW9nQwioqDC4JCIiBS97RoCxJoxNdV0Vf2rLujEJDkzWf47+1+xXkndIasgS4b8NkS+vuprNQ6eP/t1z6/y9b9fO73cW5e+JXXj6jq1jDEvTw4M9a9xEkNiK0j5rl0lZ/NmyT967ILvk8aPk7CqTg5/QUREpcbgkIiIHIYhENCRDKbutbqrz87knJHVyavly63uKfUbNmeY3NzsZvlfg/+JP3Y8M3btWFl33LlOX0IkRKb2m6oCc0elL14spz7+RHxF+S6dJaplSwlPSJDIZs0kJNL5cTY1o/H/7d0HeBTV2gfw//b0TiqB0KWjdFCxoKio2BELiIgNufar2PXqh4p6bShgQ0WqCggKXgUBKRaK0hTpoSSEkl62zvecCQkJSXZns7vZ2d3/73mGZGfOzJxdZt/MO3PmHGi0ypvQEhGRdzE5JCIij4gOZS7JukSexBh+uwp24bl1z3m0zS/++kKexPOSgeTZtc/in/x/3Frnvh73YUD6AOi0YiB516yHD+Pg+H+hKaVPehWm1q3l5M1eWAhdTAw0OmX1dQcTQyIi/2JySEREXiOek+uY2FFO6kQT1K3HtnrUIYtoZjpr6Cy3OmTxl99zf3crMXy2/7PolNjJrX3kz56Ngnlfwlf0qalIunMsdPHx0JjCYEhJrpO86ePjfbZ/IiLyLyaHRETksyaoXZt1rb7798TPT2B34W63tyPGBwyEO4iiOalS7134HhLDExWVFXfrTnz6GYoWL4YvJNw+GpH9+kGfqKw+REQUvJgcEhFRk/i/c/4POSU51WMcunsHUa0JorsD3H8y5BNEGCJclpMsFuR/+SUKv/oa3pY1ayY0RuXPNxIRUWhgckhEFAJEE0+RbDhKSuSx7xxl5Qjr0L7J6yE6shFJXrmtHLctvc3tBPGx3o/hrJSzoCZTN09VXPb5Ac8rSgxLVq7E0bffgbeYOp4hDygf3rULewElIqIGMTkkIgpiBx98EI7CIthLSwCbvdayyHPPge3wYZjatUPcjTdCFxUlJ5GiOaivhevD5SRRdDrzze5vFK/3yu+v4F9n/gsDMwZCDUosJVhxYIWisrd0vAVnJJzhslzF9u1eSQwjB/RHRN9+iOjVE9qwymFKiIiInGFySEQUxByFhbAXFtW7rHTVz/JP867dKFqytM5y0eww7rrrYGrbBqb27aEND/d6/cSQFde0u8atu4hvb3pbvnsoEkx/G/O/MYrK3dn1TlzY8kKX5URSKO4aeiL53/9GZN8+Hm2DiIhCE5NDIqKg1vi7gPIzbzNn1pqnS0xA4u1jENG3j9fuMIok77VBr+GRlY8oXkckk/5+BnF59nJF5cafOR5nZ5zttIyjogL7b77Fo/pkzZkNjZ5/1omIqPHU3zc4ERE1mhiTzqvbO34CeZMmYd9112PfzbfAXlLile1mRmdi9tDZbq2z6uAq+IvVYVX8rKHLxNBs9igxTJ80Ca2++pKJIREReYzJIRERNYpUUYHsUbdh77XXoXzLFtiL6m++qpS4EynuBraIbqGo/OQ/JsNf3v/jfUXlXCW8onOg/Tfd3Kg6iOa+LT76EKbWrRq1PhER0el4mZGIiDyW+9zz1b8n3nknYoZc3OhtTRo0CfN3zsfsHa7vJK48sBKDMgehKRVUFGDN4TUuy7048EWnTW/lpqS3jnR7/xF9+iD50UfkAemJiIi8iX9ZiIiCWPxNysff85bj06bJdxOPTp4M27FjjdrG1e2uRqwx1mW59/58T27i2VSsdivu+vEul+WSwpPQLr5dg8tPfD6jUU1JW0z/BCmP/ZuJIRER+QT/uhARBbG4a6/1275Llv+EA3fdDevhw41a/73B7ykqd8t3nnXk4g4ldzOFdy5oeCiK/DlzUbhggXs71mrlDmd00dHurUdEROTr5HDy5MnIyspCWFgY+vbti99++63BstOnT5eb1dScxHpERMFMTXEyc5ryQdp94eD4fyHv9dflMRTdodfqMWvoLEVlfz5YOSyHry3es1hRYqjVaBtMDAvmznVrnxlv/het5s1lhzMUlNQUK4moEcnhnDlz8NBDD+HZZ5/Fxo0b0b17dwwZMgR5eXkNrhMTE4OcnJzqaf/+/Z7Wm4hItdQWJ/WJiciaOwcZr78mD4wedcH5iLnicsRdfx2aSunadXIPp8UrVriVJIoka0D6AJfl3v3jXZRZy+BLM7bPUFQuOSK53vmlv/3mdmKYNW8ujJmZbq1DFCjUFiuJCNBIbl7KFVd1evfujXfffVd+7XA4kJmZifHjx+Pxxx+v9yrPAw88gIKCgkZXsqioCLGxsSgsLJSDAlEw4nEePAI9Too/C7a8oyhe9iMKv/oavpAy4XFE9OqluPzwxcMVlfPl2IdK6vDKOa8gKzarznzrkTwcvPdexfsK69wZaS+c6uSHTmGsDB6BHiuJ1MqT49ytO4cWiwUbNmzA4MGDT21Aq5Vfr1u3rsH1SkpK0LJlS/kLP2zYMGzbts2tShIRBYpgiJOiqZYhJRkJN90kj5+X9eU8+Q5WzGWXeW0fRya+LHdao/T6pNIxEOfucO/OnFJHy466LBNniqs3MZSsVrcSQ31yMhNDCnrBECuJgpFbyeGxY8dgt9uRkpJSa754nZubW+86HTp0wMcff4yFCxdixowZ8lWhAQMG4ODBgw3ux2w2yxlvzYmIKBAEY5yUn+3RapE45nY5WWw5ayZSHn/MK9sWTU2tDXwup9ehfXx7l+W+2vkVCs2F8Lb7lt/nssz7g+sf+3Dfjcp7jDWkpyHzfWUd8RAFsmCMlUTBwOe9lfbv3x8jR45Ejx49MGjQIHz99ddo1qwZpk5tuIOEiRMnyrdCqyZxdYiIKFgFWpzUGo2I6N1bThSTH3nY4+0dHHcfcl98CZLD4bTcE32fULS9+5a5TuTc4ZCc10s4L/O8ejuhEXdH3ZHx9ttulScKJYEWK4mCPjlMSkqCTqfDkSNHas0Xr1NTUxVtw2Aw4Mwzz8SuXbsaLDNhwgS5jWzVdODAAXeqSUTkN6EWJyP796+8mzjjc4+2U75pE7LHjHFaJlwfjhva3+ByWxaHBWa7Gd4y62/XPabe0/2eOvPy/vumW/tJnzRJvkNKFApCLVYSBWVyaDQa0bNnTyxbtqx6nrilL16LqzlKiCYEW7ZsQVpaWoNlTCaT/PBkzYmIKBCEapzUhofL4/ClPPVko7fhKCp2eaft2vbKxm2c9ZeyITBcsTqs+Gb3N26vZzt6FKWrVysun/rsMzC1buX2fogCVajGSqKga1Yquhz+4IMP8Omnn+Kvv/7CPffcg9LSUowePVpeLm73i6s0VV544QX873//w549e+Ruim+55Ra52+E77rjDu++EiEglQjVOinH4Is48U76TmDl1SqO34ypBbOjZvpqW7FuCnJIceOrDzR+6LDPx7Im1XtuOH8eBu+veSaxPRL++coc/4d26NbqORIEqVGMlkZq5PaLu8OHDcfToUTzzzDPyA8Oi3ffSpUurHyjOzs6We5uqkp+fj7Fjx8pl4+Pj5atEa9euRadOnbz7ToiIVIJxEtAnJclJYsWOf5DzhLJnBU9PELNmzYTGaKyzLCEsAWmRacgpdZ78PbDiAY+HtlhxcIXLMq3jWlf/bt6zF4cffVTRto0tWyJFYVmiYMRYSRQE4xz6A8ekoVDA45yC+fhxJ2mqqaEEUQx4P/r7yrsLzrx34XtIDE9EY+w4sQPPrH3GZSc53Zt1b1QHNCJ5puA71kndePxQKChqqnEOiYiIGkM8T5f63HNur7dvxE2wF9YdmiLCECGPK+jKtM3T0FiuEkOha1LX6t+PutHTqBg3koiISG2YHBIRUZMI79oFLT79FIaMDLfWy769/l5Mp17UcPf1Vf44+gca40Cx6x4N3z7/7erhK8QwHCUrVynatngeU4wbSUREpDb860RERE1GFxWJ5m+/hfRXXnZrPdFcs76nIF4991WX6770y0tw1yMrH3FZJiWy8rkoyWLBvutdD7EhxAwdKj+PSUREpEZMDomIqMmZ2rZFi49c9wRa077rrkfRDz/UmtcypqXL9TYf24zsomzF+1EyRuKVba6s/j3nadfNT6vEj7hRcVkiIqKmxuSQiIj8QhcXh5Yzv3BrneNTpqLgq69qzcuKyXK5njtjFY5cMtJlmRFnjJB/Wvbvh9nJANw1iWRYjAdJRESkVkwOiYjIb7Qmk9wjqTvyZ86SxxKs8uLAF12u8/OhnxVtu9Bct/Ob+lQ9a3jooYcVlW/+3mQ5GSYiIlIzJodERORXYqgKd5uYHrjzLvlZP8GgM8jjHrqy5tAal2VeWPeCyzJVQ1fsH3Wboro2f+dtGE6O20ZERKRmTA6JiMjvxF01Me6fIT3drWEuqrxx3hsuy7+96W1U2CqcljlYctDldq5ofQUsBw/BUVLisqw+NdWt90RERORPTA6JiEg1xF22mMsvV1zeeuhQrWaerjy04qEGl6066HooinE9xqGTIROH7r9f0f4yJ7+rqBwREZEaMDkkIiJVSRx9G1KefEJR2YP/uh/2k3fwROLmyvGKU88qnm7yH5Ndrn92Ym9kj7lDUd0yP/xAUTkiIiK1YHJIRESqE3HWWUgYeauistmjboOjvBz90/orKv/tnm/rzDtadtTlejMunYH9tyirU/xNI6CPj1dUloiISC2YHBIRkSrFDhuG2GuuVlRWJG3akjJ8funnLst+tv2zOvPuW36fy/XMv/ymqC5RF5yPuGuvVVSWiIhITZgcEhGRaiXcfLPistm3jwEOH8E1ba9xWXbt4bXVv+eU5Lgs3zP5LBx947+K6pF0772KyhEREakNk0MiIlK1rHlzFZc99MCDuDpqoMtyb218CweKD0CSJDyw4gGX5Ye9uVHR/tNffQUajUZRWSIiIrVhckhERKqm0WqR9eU8xeUP3f8AtHbJZblHVj6CG7+90WW5NjuKYTTbXZaLvfpqmNq0UVxPIiIitWFySEREqifuxolhLpR67pMKRJTYPN5vwlEzRq3WKyt7i/ImsERERGrE5JCIiAKCGEw+abzrjmMEo86Ih2eWA5LrO4gNCS+z4bovsmHUGl2WbfXVl43eDxERkVowOSQiooARfd55SLh9tKKykYYI3PnWLhjMDrf3I9a5ddpeZERluCybNvH/3N4+ERGRGjE5JCKigBI7dCiSH31UUdmWMS0x+v3d0NmUJ4ixJyzyOoJJZ3JaVhcXh7D27RVvm4iISM2YHBIRUcCJ7NcXUYPOdVlOp9FBrzVgzLu70WJPqevtFtsw/LP98u9ZMVkuy7f46EOFNSYiIlI/JodERBSQmv3rX0i47TaX5VpEZ8o/L/nmMIbNOdBgudRD5bj5o73y7+lR6dBqnP+J5HOGREQUbJgcEhFRwIq94nLEXH65y3LRxmj5Z0pOBe58cyfSDpZVD3chni8U866cd1B+3Sy8GcJ0YU63lzVntlfqT0REpCbK+ucmIiJSqcTRt6Fi+3ZY9uxpsExSeBKKLcXVr6/48lC95VIjUxGhj3C+v7F3QKPnn08iIgo+QfHX7fttuWgTmY2tu7/CVRe+4u/qEBGRQpIkyaNNSHYJDocEyVHjp12C3e6A5ADsNgccdgfstsr5DptDXlb5uwT78Idx7JNPYS0oggM62DV62DUGlOjiUaqLlfeljbXDIjngEBs8jc5eijitAxWSFZJGA0iAXrJABxu0kh1aOOSfMf17w5FyFk5sOQadXgudQQu9QQut7uRPvaZyvk7M00Cj00Cn08jLiUjdDhQfQHpkOnRanb+rQhRYyeHkyZMxadIk5Obmonv37njnnXfQp0+fBsvPmzcPTz/9NPbt24d27drhlVdewWWXXeZJvWG3OpD3zRLsWbES/9i24NvUIlgiNCjZey8SojIRG52BguKDkHQGJMWfAa2mchDlSuKnBAc00NjN2HFgGYrM+WjT7EzExWRBrwuHJNnggAS75IBNssHusENsxKgx4oSlAOH6MMToYqDTak9urXKzp4bUkirnySc/lT+1FScg2c1whMUDdgskfRhQfhzainxIpljYIppVbkMUdtgrT1DEDPHTbgGsZZBEnc1Fla8dVtij0iAZIypPrsSakkM+2bLZy3GicC9s5gKkxLZFbHQLeZnWEAGtBGi0WpSV5qGo7LC8zGiIgUOyosJWAZ0kwWSIRLm5AJJkgUZjgF5nkrdfXnEcRq0Jhwt2INwQheSETjCaYqE5+SZFjR0V+dDYzJBM0dCKEzFrKezGKEgaLex2C4ocFoQbIhGlDZP/F4pLchAZkQqHOBHT6KEVQVmjg0ajhUFnhM1egXKbWf4c9Fqd/PkYNDr55FH8n4p9ltsrEKYzVe4XDsBmgTY8AWZrMczmEjgcZuj1UeIMFDZHOSIjmkOr1cuflfxYUUUBbHYr9KZo6AxR1f97YrnDUbmOzuGoPjYqrCUoKTsCnd6E6Mh0FJflyuWbJXaC5Kh94im2UU38X1YejGh5RkckJKV59D0g9VJDnKwikq3dG/NwZF8RLGW26tgkqwwelV9eOSmqfC2XOVmwMracNmSgSOrED/lwP7W8KtmTl9d4Lb6vletXJneVSWDlfK/JOB82fS7sJfV3POMQndNoTp30VSWJ8rOFOhNO3Vesn6l1Kxwp0gJLKjuscUfVnx+NViP/Lv89Ovmz8tHGk/NPLhevtWK+WF5V7uT/kShf9fdMK8cT1FOmMjbKr2vss9a+q8pUb+P0ulXNq7HPGvPre3+nfqn//Sv6rKrqq9UgLNKArK5Jbn/eFDjUECsLjxVhz29/Ysa+j2DQSGgflYbOid2g02jlRLHUbkWp+SgcWiPiIlNhtlfAXHQAWmM0wsR5FzSIks+zJGgq8nG8cBfsujCYEtoh0hAFjSih0cJqt8AmzgM1OhhF0LSbUa4VnWaZEKY1yudMkmSHFQ4YtEb5/EOcrwlaEUN1emihhc1WDodkh16cR2rEHC0sDiuO24tgrShGmjEOBlOMOBtCia0EpSUHkWiIRZghCnZDJCrsZpTYShEraRBmKYU9LA4wRUEnx2q7XIeS0hz53FjUN9IUD2N0c0TqIuRzJ8fJ73OJpQjmkhwkhydBYwgHKooBcZ4WFge7RoPcslwUWwqQGdkcZrsFUfoIGDRVqYdGPg/XajQw280ospUgwhCJSH24/HnK58AOO8rtZpTZSuXPNskYD5tGA1tFPkx2MyRDBGCKkc8By2xliDHEIVyjrTzvqsiHw2CCwxBV+VmdjP0ace7nsMqfrcNukf8O2PUGWB1mxDm08uftMMZAYy2FZIxGmbVY/r/RSIANGug0gFHsw1oBm7kQGvH/EhEPm+RAbv7fsFScQJIptvLvZ1g8dLoIhIclwKHVwSRp5LpodDoUVxxHZFgiJIcNGpFrOGzyFKbXo9RaAZM+HFZbOfKOb8OO/K1oH3sGWmSeD5ulGDtyfoZkq0C7tL5ITeuO8LBIJGZlITyq8vEJT2mkWmeurs2ZMwcjR47ElClT0LdvX7z55pvyF3XHjh1ITk6uU37t2rU499xzMXHiRFx++eWYOXOm/EXeuHEjunTpomifRUVFiI2NRWFhIWJiYuR5+/86gB/fXAWpwupO9YlUo1n34xj20MNOj3MKTGqJk4JIvn6e8w9y9xYhVEg2Gyz73U/gnDG1aePV7ZEy8WkRuGh051rzGCuDh1pi5eoF6/H3/L/ErQevv0eiphDddR+GP/KcV+Kk28mh+PL27t0b7777rvza4XAgMzMT48ePx+OPP16n/PDhw1FaWorFixdXz+vXrx969OghBwMlTn+DO/5ZjPe//xidN1wpZ/JEgahZjxMY9uBD1a95whM81BAnq+zbfAy/La7sgTO0SDDvbvgZRHeYWrUSt+i8si1yT0J6JAbf1qnWPMbK4KGWWLlyzhrs+m5n7VYVRAEkrkcOrntwglfipFvNSi0WCzZs2IAJE07tXKvVYvDgwVi3bl2964j5Dz106gRYGDJkCBYsWNDgfsxmszxVEW+s6o0KEWGtYM8pQ4W53J3qE6lKqbmi+pgWqn5383oNqYxa4mSVP1fvQVmF6/H9glJGCiSzGdbDhxu1usZohCEjA2WWMq9XjZQJM9c9phkrg4OaYmX2/jUos3inSR6RP0RYHV47p3QrOTx27BjsdjtSUlJqzRev//7773rXEW3I6ysv5jdENBd4/vnn68wXV5Nq+96d6hOpi+gJf8KTdWYXFxfLV3soMKkvThIFuLvrn81YGdgYK4m8fE752FNeiZOq7K1UXEWqeWVINDM4ceIEEhMT6zwEX5Udiy/5gQMH2MTES/iZNv1nKq7uiC9xenq6X+pHgcXdOCnwe+1d/Dz985kyVpI7eE7pf/xMA+uc0q3kMCkpCTqdDkeOHKk1X7xOTU2tdx0x353ygslkkqea4uLiXNZPfDg86LyLn2nTfqa8Ch741B4nBX6vvYufZ9N/poyVgU/tsZLfa+/jZxoY55RuPWFvNBrRs2dPLFu2rNYVGPG6f//+9a4j5tcsL/zwww8NliciCmSMk0RErjFWEqmT281Kxa35UaNGoVevXvI4NKLbYdFz1OjRo+XlokvijIwMuY23cP/992PQoEF4/fXXMXToUMyePRvr16/HtGnTvP9uiIhUgHGSiMg1xkqiIEgORTfCR48exTPPPCM/ACy6D166dGn1A8LZ2dlyb1NVBgwYII9D89RTT+GJJ56QBywVvUopHY9GCdFc4Nlnn63TbIAaj5+p9/EzDR1qjJMCj0Hv4ufpffxMQ4saYyWPQe/jZxpYn6nb4xwSERERERFR8OGovkRERERERMTkkIiIiIiIiJgcEhEREREREZNDIiIiIiIiEpgcEhEREREREZNDIiIiIiIiYnJIRERERERETA6JiIiIiIhIYHJIRERERERETA6JiIiIiIiIySERERERERExOSQiIiIiIiKBySERERERERExOSQiIiIiIiImh0RERERERMTkkIiIiIiIiAQmh0RERERERMTkMNAcO3YMH330Ee6880706NEDer0eGo0G06dPRzDIz8/HhAkTMHjwYLRs2RIRERHy1LlzZ/z73/+W3z8RkTMbNmzAc889hwEDBiAuLg5GoxGZmZm45ZZbsHnzZgQ6xkki8oZVq1Zh7NixOOuss5CSkiLHyoSEBJx//vn4/PPPIUkSAhljZeNopED/nw8xCxYswNVXX11n/ieffILbbrsNgW7r1q3o2rWrHJzElzc9PR3FxcVYv3498vLy5NerV69Gq1at/F1VIlIhm80Gg8Eg/y7iSN++fREZGYlNmzZh9+7d8snPF198geuuuw6BinGSiLzhkUceweuvv4727dvL8SI+Ph6HDh3C2rVrYbfbMWLECMycOROBirGykURySIFj7dq10r333it9/PHH0pYtW6SxY8eK5F765JNPpGBQUFAgrV+/XrLb7bXml5eXS7feeqv8Xq+99lq/1Y+I1M1qtUq9e/eWFixYINlstur5IqY8+eSTcgyJjo6Wjh49KgUqxkki8oZt27ZJhw4dqjN/586dUlpamhxLFi1aJAUqxsrG4Z3DAHf33Xdj6tSpQXPn0JmDBw/KTcPEla0TJ074uzpEFGDEn7uOHTtix44dclP8UaNGIdgwThKRN7z44ot4+umn8eCDD+KNN95AsGGsbBifOfSj4cOHy88LinbPp/vnn38QFRUlTzt37oS/iSZZVqvVrXW+++47+f21adNGvo1/+knakCFD5OUTJ05UtL2qpmKiWRgRhQZvxkmxnW7dusm/Hz582Ot1ZZwkomA5p/RlLGGsVLlG3nEkLzhx4oTUvHlzSavVSsuXL6+eb7FYpF69esm3uz/44AOn27jrrrt83qz0999/lyIiIqSrr75abrLljnHjxsn1u+2222rN/+9//yvPP/fcc+vc7q+P+EzuvvtueZ3bb7/d7fdARKEbJ2vq2bOnvI5omu9NjJNEFCyxMjs7W8rKypLXWblypVfryVipfkwO/Ux8gcUXWXyhxRdbeOKJJ+QD9qqrrnK5flMkh6Jt9sUXXyzv57rrrnPry1xWViZ17NhRXnfevHnyvM2bN0smk0mKjY2V9u3b1+C64gs7atQo6corr5QyMjLkbQwcOFA6duyYV94XEYVGnKzy888/y+sYjUbp8OHDXq0j4yQRBWqsFP1ZiDhyyy23SBdccIEcI8V2XnzxRa/XkbFS/ZgcqsCjjz4qH6Q33HCDtGrVKvkLKR4EVtJhQlMkh1Vf5osuukje1/Dhw2t19ODKxo0b5UCTkJAg7dq1S+ratau8nRkzZjhdT6fTyeWqpvPOO0/au3evF94NEYVSnBQKCwuldu3aydt47LHHfFJHxkkiCsRY+fnnn9eKIyKuiMSwoqLCJ3VkrFQ3JocqYDabpR49esgHa0xMjKTRaKSlS5cqWteT5PD111+XOnTooHiqamIgpvvuu8+tfb366qvV70/8HDFihOJ1xRV+cYWobdu2UlRUlOLPhoiChydxUpx4XH755fK6ffr0kbelFOMkEYVKrBTr7tixQ+7ZWSRgffv2rb4D6QpjZfBgcqgSf/75Z/WX5J577lG8nifJobh6XvMqijvTjTfe6Na+RBvwqmd9xBWs/Px8t+srmguILuhTU1OlkpISt9cnotCMk1VD/ogTEneHsGCcJKJQiZWnJ3vuJG6MlcGDvZWqxJw5c6p//+OPP+TBR33t5Zdflnt4UjI5HA6MHTtWXq9///6YNm2aW/vavn27PBipcPz4cezbt8/t+rZs2RLnnHMOcnNz8euvv7q9PhGFXpx8/PHH8cEHH8hdlv/www9ISkpya5+Mk0QUiueUt956q/xz4cKFisozVgYPJocqsHr1arzyyitITU3F4MGDsW7dOrz00ktQC/FFvueee+QTrL59+2Lp0qWIjo5WvL7ZbMbNN98s/7zllltgsVjk1xUVFW7XperE7ujRo26vS0ShFSdfffVVeZ3k5GQ5MRQJoq8wThJRMJ1TJiQkQKvVej2OMFYGAH/fugx1opOEqnbXS5YskXJzc6VmzZpJer1e+uWXX1TRIc3q1avlNuuiK+SCggK313/wwQdrNRsYOXJko9qYi+eGWrduLa8rukImotDQmDg5bdo0uXxcXJy0adMmn9eRcZKIAv2csqaffvpJ3k7nzp29WkfGSvVjcuhnt956a52DeuHChfI88bCsq3bQTdVb6ddff634oeSafvzxRzkIZGZmVrcJPz141TRr1iy5W+LTHT9+XO6GWKwjeqZyOBwevBsiCuY4KTobED30ic4GRBftTYVxkogCKVaKjl3qi1m//fabXF6s99prr3m9noyV6sbk0I/mzp0rH5idOnWSx26prwOFMWPG1FlP9B5VNSUnJ8vlxNWPqnmNffjY28QXX4wlI07SxBWo08cbE/PFg8A1O4gQY9BUvZ9hw4bJPVCJQU3FSZ6YL7a3fft2P7wbIgqEOHnkyBG5l72qP/oiptQ3zZ8/X1IDxkki8tc5pZhX1SupGFJCDEzfvXv36o5ixHAY7g5U7yuMlU2HyaGfHDx4UIqPj5e/lPU1eRJXd6rG5BJXWGpy1evToEGDJDUQQUXUR4y5U58JEybIy8UXtuYX/N5775WDU1JSktwUQjQL69evn/TSSy81qgkCEYVOnBTjVinpHe/ZZ5+V1IBxkoj8dU75zjvvSNdcc42cPEVGRsrri4RJxBu1XECrwljZdDTiH38/90hERERERET+xd5KiYiIiIiIiMkhERERERERMTkkIiIiIiIiJodERERERETkdnL4/vvvo1u3boiJiZGn/v37Y8mSJQ2Wnz59OjQaTa0pLCyMnzwRBTXGSiIi5xgnidRJ707h5s2b4+WXX0a7du3EEBj49NNPMWzYMGzatAmdO3eudx3xhd+xY0f1a/FlJiIKZoyVRETOMU4SBUFyeMUVV9R6/dJLL8lXfn755ZcGv8jii5uamupRJR0OBw4fPozo6GgGAgpa4o9jcXEx0tPTodWyxXcg80esZJykUMFYGRx4TkmkzjjpVnJYk91ux7x581BaWio3BWhISUkJWrZsKX8ZzzrrLPzf//1fg1/6hogvcWZmZmOrShRQDhw4IF9RpeDQVLGScZJCDWNl8OA5JZF64qTbyeGWLVvkL25FRQWioqIwf/58dOrUqd6yHTp0wMcffyy3KS8sLMRrr72GAQMGYNu2bU4rajab5alm9lv1BkWTAqJgVFRUJP/BElczKfD5OlYyTrrHYnPgsa/+xKH8Cqfl5t7d8IkpqQNjZfDgOSWR+uKkRqr6lihksViQnZ0tfzG//PJLfPjhh1i5cmWDX+aarFYrOnbsiBEjRuA///lPg+Wee+45PP/883Xmi33yi0zB/EWOjY3lcR4kfB0rGSfds/lgAZ6cv9VluUXjz26S+lDjMVYGD55TEqkvTrqdHJ5u8ODBaNOmDaZOnaqo/PXXXw+9Xo9Zs2YpvspTlf3yi0zBjCc8wc3bsZJx0j2PfbkZ23OKXJZbMG4gdFo+h6RmjJXBi+eURP6Pkx4/yS3afdf80rlqUy6aEKSlpTktZzKZqrs2rpqIiAKZt2Ml46R7sk+UKSq3I7fY53UhovrxnJLI/9x65nDChAm49NJL0aJFC7kHnJkzZ2LFihX4/vvv5eUjR45ERkYGJk6cKL9+4YUX0K9fP7Rt2xYFBQWYNGkS9u/fjzvuuMM374aISAUYK9VHaaeEC/44hE7pPHkk8jXGSaIgSA7z8vLkL2tOTo58q1I8FCy+xBdddJG8XLQbr9ldan5+PsaOHYvc3FzEx8ejZ8+eWLt2raK25EREgYqxUn20CrPDdbuP+7wuRMQ4SaRWHj9z2BT4fAGFAh7n5AkeP87d+tGvKCizKirLTmnUjcc6eYLHD4WCIn8+c0hERKR2ShNDocxi82ldiIiI1IrJIRERUQ1Wu+ob1BAREfkEk0MiIiIiIiJickhERFRTADyKT0RE5BNMDomIiGo4XFDh7yoQERH5BZNDIiIKau7eCXzsq80+qwsREZGaMTkkIqKgdqLU4vY67LGUiIhCEZNDIiIKao15gvCvnCIf1ISIiEjdmBwSEVFQ0zRiHYuNndIQEVHoYXJIRERBTatxPz3U6xqTUhIREQU2JodERBTUGpEbQqdlckhERKGHySEREQU1TSMaljbmbiMREVGgY3JIRERBzeZwuL3OP7nFPqkLERGRmjE5JCKioLZm93G31/nit2yf1IWIiEjNmBwSEVFQ+2DVHrfXcTjYWykREYUeJodERERERETE5JCIiIiIiIiYHBIREdVLkti0lIiIQguTQyIionowNyQiolDD5JCIiKgehwrK/V0FIiKiJsXkkIiIqB6/7zvh7yoQERE1KSaHREQUtErMtkav+8mafV6tCxERkdoxOSQioqC1+WCBv6tAREQUMJgcEhFR0LLYHP6uAhERUXAmh++//z66deuGmJgYeerfvz+WLFnidJ158+bhjDPOQFhYGLp27YrvvvvO0zoTEakaY6V6WO3scpRIjRgniYIgOWzevDlefvllbNiwAevXr8cFF1yAYcOGYdu2bfWWX7t2LUaMGIExY8Zg06ZNuOqqq+Rp69at3qo/EZHqMFaqR2KU0aP1OdYhkW8wThKpk0by8C9fQkICJk2aJH9ZTzd8+HCUlpZi8eLF1fP69euHHj16YMqUKYr3UVRUhNjYWBQWFspXl4iCEY/z4ObrWMnjp35Lt+Zg8k+7G73+/HsHQK/jExhqwmM9ePGcksg7PDnOG/0Xz263Y/bs2fIXVTQFqM+6deswePDgWvOGDBkiz3fGbDbLb6rmREQUiHwVKxknlfl+2xGP1nfwxiGRz/Gckkg93E4Ot2zZgqioKJhMJtx9992YP38+OnXqVG/Z3NxcpKSk1JonXov5zkycOFHOdqumzMxMd6tJRORXvo6VjJPK7Mor8Wh9B5uVEvkMzymJgiA57NChA/744w/8+uuvuOeeezBq1Chs377dq5WaMGGCfBu0ajpw4IBXt09E5Gu+jpWMk02DySGR7/Cckkh99O6uYDQa0bZtW/n3nj174vfff8dbb72FqVOn1imbmpqKI0dqN+kRr8V8Z8QVJDEREQUqX8dKxsmmYWe7UiKf4Tklkfp4/JS9w+GQ23PXR7QbX7ZsWa15P/zwQ4PtyYmIghVjZWDac7TU31UgChmMk0QBdudQ3Jq/9NJL0aJFCxQXF2PmzJlYsWIFvv/+e3n5yJEjkZGRIbfvFu6//34MGjQIr7/+OoYOHSo/bCy6K542bZpv3g0RkQowVgaP91bswtRbe/m7GkRBh3GSKAiSw7y8PPnLmpOTIz/UKwYvFV/iiy66SF6enZ0NrfbUzcgBAwbIX/annnoKTzzxBNq1a4cFCxagS5cu3n8nREQqwVipDg4XTUL7tkrAX7lFKCq3NVjmcEGFD2pGRIyTREE6zmFT4Jg0FAp4nJMnePzUdaigHHd/vqHB5a9e1w2bDxZgxi/ZTrezaPzZPqgdNRaPdfIEjx8KBUX+GOeQiIhIzZZudd7FfYeUaFzYsXbX+ERERKGMySEREQWl4gqr0+VarQZJUezFkIiIqAqTQyIiCkoWm8PfVSAiIgooTA6JiCgoWe1MDomIiNzB5JCIiILS5oOFXtkO70ASEVGoYHJIRERBqcxiV1ROp9U4Xb5hf76XakRERKRuTA6JiCikDe+d6VHHNkRERMGCySEREYWcCzsmV//eNSPWaVnVDwZMRETkJUwOiYgo5CRHh1X/3jY5ymlZh4PpIRERhQYmh0REFHT2HC1xunx7zqnOasIMOqdlD+SXea1eREREasbkkIiIgs4Li7c7Xa6B805oalr0Z44XakRERKR+TA6JiCjoHC+xOF1u1PPPHxER0en415GIiEJOm2bOnzMkIiIKRUwOiYgopHsrVYKd0hARUShgckhERCEnJeZUb6VK7HbRwQ0REVEwYHJIRETkwpKtuf6uAhERkc8xOSQiopCXHuf8TqLN7miyuhAREfkLk0MiIgp5bZOdd1DDJw6JiCgUMDkkIqKQcmaLuDrztBrn4x5KzA6JiCgEMDkkIqKgcuBEmdPlF3ZMqTPPeWpIREQUGpgcEhFRUPl+m/POY4y6un/6eGOQiIiIySEREQWZhX8cdrq8vhakDrYbJSIiYnJIREShRa+tmx0OrqepaU3HS80+rBEREVEAJocTJ05E7969ER0djeTkZFx11VXYsWOH03WmT58OjUZTawoLc2/wYSKiQMJYqW5dMmLrzOtaz7yath4q8mGNiEIP4yRRECSHK1euxLhx4/DLL7/ghx9+gNVqxcUXX4zS0lKn68XExCAnJ6d62r9/v6f1JiJSLcZKdQsz6OrM09fzHCIR+Q7jJJE66d0pvHTp0jpXcMTVng0bNuDcc89tcD1xZSc1NbXxtSQiCiCMlUREzjFOEqmTR5dKCwsL5Z8JCQlOy5WUlKBly5bIzMzEsGHDsG3bNqflzWYzioqKak1ERIHKF7GScZKIggnPKYkCPDl0OBx44IEHMHDgQHTp0qXBch06dMDHH3+MhQsXYsaMGfJ6AwYMwMGDB522Q4+Nja2eRAAgIgpEvoqVjJP1kzzodTS8nuamROR7PKckUg+N1Mi/pPfccw+WLFmC1atXo3nz5orXE23KO3bsiBEjRuA///lPg1d5xFRFXOURX2ZxVUm0NScKRuI4F3+4eJwHF1/FSsbJ+h04UYZ7v9jotMyi8WfXO//+2Zuw52ip2+tR02KsDD48pyRST5x065nDKvfddx8WL16MVatWufUlFgwGA84880zs2rWrwTImk0meiIgCmS9jJeNk/TZm5zd6XW19AyASkU/xnJIogJuVipuM4ks8f/58LF++HK1atXJ7h3a7HVu2bEFaWprb6xIRBQLGSv+x2RvfrNRVanishGMdEnkL4ySROrl151B0OTxz5ky5rbcYlyY3N1eeL25bhoeHy7+PHDkSGRkZchtv4YUXXkC/fv3Qtm1bFBQUYNKkSXK3w3fccYcv3g8Rkd8xVvrPyn+OOl2emVD5+dfH4GI4C9HkNCmKdyCIvIFxkigIksP3339f/nneeefVmv/JJ5/gtttuk3/Pzs6GVnvqD2x+fj7Gjh0rf+nj4+PRs2dPrF27Fp06dfLOOyAiUhnGSv/Ze8z5GGlXdk9vcNlFnVKwPafhngy1bHVK5DWMk0RB1iFNU+LD5xQKeJyTJ3j8VLrindVOl392ex/ERxrrXfbngQI8tWBrg+tOur4bzkgN3c9WLXiskyd4/FAoKPLgOPdonEMiIiK1OJhf5rJMQ4mhkBob5nTdAyfKG1UvIiKiQMHkkIiIgsLaXcc9Wj8lxnlyuHb3MY+2T0REpHZMDomIKCh8/st+n25//b7GD5NBREQUCJgcEhFRSHjskjP8XQUiIiJVY3JIREQhoWvzWH9XgYiISNWYHBIRUUgwuhjHUInCMqtX6kJERKRGTA6JiCgkGPWe/8n7Za9nnd4QERGpGZNDIiIKCToFo9hf0iXV6fLpa/Z5sUZERETqwuSQiIjopF4t450uLzHbmqwuRERETY3JIRER0UmRJr2/q0BEROQ3TA6JiCjg2R2SV7YTE2bwynaIiIgCEZNDIiIKeFa7wyvbyUwId1lmV16xV/ZFRESkNkwOiYgo4BWWe2eICY3Gdac1X2885JV9ERERqQ2TQyIiCnjr9+U32b5+3nmsyfZFRETUlJgcEhFRwJuycre/q0BERBTwmBwSERHVMKJPC39XgYiIyC+YHBIRUdAbe25rxWXPP6OZT+tCRESkVkwOiYgooFVY7S7L9G2VoHh7KdFhHtaIiIgoMDE5JCKigLZml+sOYlJilCd8Wq3rHksdXhpXkYiISE2YHBIRUUDbmVfS5Pt0SEwOiYgo+DA5JCKioNYuJcrr27QzOSQioiDE5JCIiAJafqnF6fIXr+ri9X06HF7fJBERkd8xOSQiooD2x4ECp8sjjHqv75N3DomICKGeHE6cOBG9e/dGdHQ0kpOTcdVVV2HHjh0u15s3bx7OOOMMhIWFoWvXrvjuu+88qTMRkaoxVjYtf+RpR4vNTb9ToiDCOEkUBMnhypUrMW7cOPzyyy/44YcfYLVacfHFF6O0tLTBddauXYsRI0ZgzJgx2LRpk/zlF9PWrVu9UX8iItVhrGxa5QqGsnBXy8QIp8vX7zvh9X0ShRLGSSJ10khS46+5Hj16VL7aI77g5557br1lhg8fLn/RFy9eXD2vX79+6NGjB6ZMmaJoP0VFRYiNjUVhYSFiYmIaW10iVeNxHryaIlaG8vFzxTurnS5fNP5st7f5v225eGf5rgaX3zYgC9f2bO72dslzoXysBzOeUxJ5jyfHuUfPHIodCgkJDQ8uvG7dOgwePLjWvCFDhsjziYhCAWOl7xwr8U3zzjbJzns4PZBf5pP9EoUqxkkidWj0U/oOhwMPPPAABg4ciC5dGu4JLjc3FykpKbXmiddifkPMZrM81cx+iYgCka9iJeNkpf3HfZOkpceGO12+7K88PDC4vU/2TRRqeE5JpB6NvnMo2omLNt6zZ8/2yUPK4lZo1ZSZmen1fRARNQVfxUrGyUpmF88bJkYZG7XdcKOukTUiInfxnJIowJPD++67T27v/dNPP6F5c+fPXKSmpuLIkSO15onXYn5DJkyYIDcvqJoOHDjQmGoSEfmVL2Ml42Sl7TnO7wIM7ZrWZHUhIvfxnJIogJND0XeN+BLPnz8fy5cvR6tWrVyu079/fyxbtqzWPNErlZjfEJPJJD88WXMiIgoUTRErGScr/W9b7RPF06XEhPls3x7050YU8nhOSRQEzxyK2/4zZ87EwoUL5XFpqtp4i9v04eGVz2eMHDkSGRkZ8m184f7778egQYPw+uuvY+jQoXKTgfXr12PatGm+eD9ERH7HWNmENM4XazUuCjiRGhuG3MKKBpfvyitBu5ToRm+fKJQxThIFwZ3D999/X74lf9555yEtLa16mjNnTnWZ7Oxs5OTkVL8eMGCA/OUXX9zu3bvjyy+/xIIFC5w+cExEFMgYK5tOucX5M4faxueGeNBFhzOumrQSUcMYJ4mC4M6hkiY0K1asqDPv+uuvlyciolDAWKkeWg+yw/Q43zVJJQp1jJNE6uTROIdERERqFhtuaPS6eh3/RBIRUWjhXz4iIgpINrvDZZkOHjwTGGVy3rjGwQ5piIgoyDA5JCKigPTZuv1Ol4cbdB41K3Wl3OI6OSUiIgokTA6JiCggzd90yOnyyTef5dP9r/wnz6fbJyIiampMDomIKCjFhLvV55rbDhdUKGraSkREFCiYHBIRUdANYSEYm6BDma2HOZwFEREFDyaHREQUcLYeLnRZRqPx/HnD889Idrr8uy2nxmAjIiIKdEwOiYgo4GzYn98k+7miW5rT5et2H2+SehARETUFJodERBRwvt3s/I7dyP4tvbKftslRXtkOERFRIGBySEREQadny3ivbMcbTVOJiIgCBZNDIiIKOoYm6IyGiIgo2PCvJxERBR2HJHltW7HhBuf7cnhvX0RERP7E5JCIiAJKTmG5yzJWu/cStnvPa+N0udnGsQ6JiCg4MDkkIqKA8tveEy7LSF68c9gs2uR0+Q9/HfHavoiIiPyJySEREQWUD3/e67JMy8RIr+3P5qLZ6Aer9nhtX0RERP7E5JCIiIKOUc8/b0RERO7iX08iIgoqowZkeXV7rZK8dxeSiIhIzZgcEhFRULmkS6pXtxdm0Hl1e0RERGrF5JCIiALGwfwyl2WiTPomqQsREVGwYXJIREQB4+G5f/plv22To5qsd1QiIiJ/YXJIREQBo8xi98t+dVqN0+X/HClpsroQERH5CpNDIiIKGu1c3OFrLOepIfDdlhyf7JeIiKgpMTkkIqKg8cTQjj7Zbuf0GKfLl/+d55P9EhERNSUmh0REFBB2Hil2WSYpyuSTfV/aNc0n2yUiIgro5HDVqlW44oorkJ6eDo1GgwULFjgtv2LFCrnc6VNubq4n9SYiUi3GSd9Y5se7cykxYX7bN1GwYqwkCoLksLS0FN27d8fkyZPdWm/Hjh3IycmpnpKTk93dNRFRQGCc9I1vNzt/rs+oZ2MYokDCWEmkPm4PBnXppZfKk7vEFzcuLs7t9YiIAg3jpH88f2Vnv+7fZndAr2OCSqQUYyWR+jTZX7EePXogLS0NF110EdasWeO0rNlsRlFRUa2JiCjYMU76ttMYX6uwOfy6f6JQwVhJFMDJofjyTpkyBV999ZU8ZWZm4rzzzsPGjRsbXGfixImIjY2tnsQ6RETBinHSO8SzR/607K8jft0/UbBjrCTyPY0kSVKjV9ZoMH/+fFx11VVurTdo0CC0aNECn3/+eYNXecRURVzlEV/mwsJCxMT498owka+I41z84eJxHlwYJ73nindWO12+aPzZPt3/rrxiPDjnT7/WgRgrgxVjJZE64qTbzxx6Q58+fbB6dcN/5E0mkzwREYUqxsnaDheUO13eJcP3J3ltk6N9vg8icg9jJZF3+eXJ+T/++ENuGkBERPVjnKxt9m/ZTpc/eFF7qIEHjXGIqBEYK4m8y+07hyUlJdi1a1f1671798pfzISEBPm2/oQJE3Do0CF89tln8vI333wTrVq1QufOnVFRUYEPP/wQy5cvx//+9z/vvhMiIpVgnPS+n3Ycdbo8OVod4xD+uvcE+rVO9Hc1iAICYyVRECSH69evx/nnn1/9+qGHHpJ/jho1CtOnT5fHm8nOPnWF12Kx4OGHH5a/3BEREejWrRt+/PHHWtsgIgomjJPeZQmgXkDnrT/I5JBIIcZKoiDrkKap8OFzCgU8zskTwXz8/LrnOF789i9VdATjqlOcpqxLqArmY518j8cPhYIiD45zjtZLRESq5ioxvKRLapPVZeI1XZtsX0RERE2NySEREQW0q87MaLJ9dcmIbbJ9ERERNTUmh0REFNAy4sKhJsdLTo2pRkREFEiYHBIRkWo5HOp7LD4rKdLp8nV7jjdZXYiIiLyJySEREanWL3udJ1ox4W53uu2xm/u2cLp86so9TVYXIiIib2JySEREqvXx6r1Ol1/XszmaWq+W8U2+TyIioqbA5JCIiFTreKnF6fIu6U3fQYxexz+dREQUnPgXjoiIVMnukGCzO3/mUKfVNFl9iIiIgh2TQyIiUqWfdx51WSbC2PTPHCohSerrSIeIiMgVJodERKRKby/b6bJMamwY/GFYj3Snyz9y8awkERGRGjE5JCIiVbK6aFIaHea/u4Y3923pdPnCPw7DYnM0WX2IiIi8gckhERGpjtXuOrEaf0E7+Eu4UeeyzOaDBU1SFyIiIm9hckhERKqz71ipyzI9VT6kxJcbDvq7CkRERG5hckhERKrzzvJdLssY9er+E7btcJG/q0BEROQWdf9lJSKikONwSNir4M6hv13fq7m/q0BERORVTA6JiEhV9hwrcVnmtgFZ8Le+rRL9XQUiIiKvYnJIRESq8vm6/S7LDOrQDP7WKinSZZn8UkuT1IWIiMgbmBwSEZGqbMx23ctnUpQJ/qbkmcdZv2c3SV2IiIi8gckhERGpxqGCcpdlkqKMUIv2KdFOly/ZkttkdSEiIvIUk0MiIlKNuz/f4LLMpV3ToBb/d00Xf1eBiIjIa5gcEhGRKhwpqlBU7rqz1NNLqEmv88rdUCIiIjVgckhERAEzaPzCcQOh1WoQSNbtPu7vKhARESnC5JCIiFRh6VbXz+cFWmIobD7ouoMdIiKigEwOV61ahSuuuALp6enQaDRYsGCBy3VWrFiBs846CyaTCW3btsX06dMbW18iItVjnHTf2l3HXJZ5cmhHqFGntBinyzcp6H2VKBQxVhIFQXJYWlqK7t27Y/LkyYrK7927F0OHDsX555+PP/74Aw888ADuuOMOfP/9942pLxGR6jFOuudEqQUTl/ztsly/1uocdH7CZWf4uwpEAYmxkkh99O6ucOmll8qTUlOmTEGrVq3w+uuvy687duyI1atX47///S+GDBni7u6JiFSPcdI9G/fnI5DFRbgeWuOTNXsxemCrJqkPUaBgrCRqBIdDPGMB1SSH7lq3bh0GDx5ca574AourPURExDg549f9Lsvc0DvT4/1IDgf233wLJIul3uWJd92J6MGDoWnEH93+bRKddjzz9cZDTA6JPBTqsZJChCQBdgtQUQREJgGWEsBaDmj12PXbd2ixayaMPa4DetwM6E2Blxzm5uYiJSWl1jzxuqioCOXl5QgPD6+zjtlslqcqoiwRUbAK9Th5vKT+ZK2mS7ukerSPw089BfNfzpuuHp86TZ6EFh99CF1cnOLtd28e57JXUqvdAYOO/cARNVaox0ryv+MHd+NE3j4cXrsEScYTCD9xEMVF+UgK16PIbIdBAo5Z7XCUSyi3OWC0AvYiB3DEBruX+lOTL6fOeA3AawjrGYmWIychvcs50OpcD62kiuSwMSZOnIjnn3/e39UgIlKtUIuTSVHuXx2VJAmFCxci//MZbq+bPeYO+Werr75UVH5g20RMWbnbaZmFfxzGdT3VM0YjUSgItVhJ9bOUlaDkWA4O7dgIq7kcyVkdUXhgN3KWfgPNtn8qCznsgMOqeJs1+9duqEu16kufPupou2JDKXZsuBd/psdg6IffAREJ6k8OU1NTceTIkVrzxOuYmJh6r/AIEyZMwEMPPVTrKk9mpudNioiI1CiU4+Rn6/b5ZLui6ei+ETd5vJ29116HzA8/gD4+3uPnDj9du4/JIZEHQjlWUv0XACvKimAKj0buzj9RlJ8LXbkFO+Z9BEPuCeiLyuqudDIBrHrSPfAGR6qfJqJCPDsBb/B5cti/f3989913teb98MMP8vyGiO6JxUREFApCNU7+lVOEeetdD3y/YNxAt7ZbsWMHcp54Et5y4I6xyJo7BxovNNnJPl6GFokRXqkXUagJ1VgZ6kqLT2D1G49D//N6ReWrLxOIZEk8uxcCYtq2r3w+0R/JYUlJCXbt2lWrW2HRnXBCQgJatGghX6E5dOgQPvvsM3n53XffjXfffRf//ve/cfvtt2P58uWYO3cuvv32W6+8ASIitWGcVObfX25WVE6ncOB7cRVZ7nCmxvNF9bE7bPJUYSmWX4cbo2HQhzldZ98Nw9H8nbdhSE9vsExmQjgOnCh3up2vNx3EA4PbOy1DFCoYK+l0ezatRFnhMZhMkTj87DOwOWzKExY3m4UGk/Rzb/DattxODtevXy+PL1Ol6lb9qFGj5IFIc3JykJ2dXb1cdDksvrQPPvgg3nrrLTRv3hwffvghuxwmoqDFOOma3SEpKvfuTWcq3ua+6653utxmN+Nw4T7YJHvtBeVH5R8t4tpCr2u4eejB8f9C1HnnIWncvfX2aHp5t3S8v8L5c4fL/spjckiktlgpeocszweKc4HiHKDoMFCwHyjKAfqPA+JbVt6BCnfevJyUKS8txJ+LpqNw0SLoj5zwbGN2K3B6TA81Gh1a9r3Ke5uTxKVWlRPtw2NjY1FYWCi3KycKRjzOKZSOn+cXbcP6fa7HN/zmvoHQaDSKng10RpIc2HvCeW+lQmJYImIja/eGeLq4G25A/PC6V2l35RXjwTl/utzHovFnuyxDwXOsUwAcP8tfAnb+zzs7OO9xIK0HYIwEwkL7+LRbzNAZK5v0Ht71J7ZO+Bd0+ZUtNjwSwncI69IgasKj6DvkNq/FSVX2VkpERMHrwIkyRYlhv9YJihLDQw897LJMTkHtO3qzrjGgOLpy2xpJwtjPKk80jlccl+8wJsa0aHBbBXPnIvaKy6GNqP3sYJtmUYgy6VFirmwGRUQBIirZe9ta8XL98895GOhwGaAL/lPvLUtnIu81MdRCbR4/tS2amJ5sZhqcNIBGe7JjGfH7ydcQ9/E0lXdIq5ZpdfIU8ej9dRJDTwX/EUpERKry7ZYcReWeuKyjyzKHHn4Elv3yqE9OVZy8yvxLTx02d6l9iiJpNJg2yojoYgkjvrai0FoCU9lRREU0a3B7+28diawv59VKXsXv/7qwHf7vu7+c1mXb4UJ0To91WWciaiJRzlsLeMXPr1dONV3zARCdGtB3GI8f2IW/f5yH0vmLoCur8MEepJNNR73TE6dXaPUnk7aT8V/BRcyyC3qh322PISd3F3TiAmJ0BI7v/gup7brB7LCi7MA+RLdsg6ys7jCYIqCRgMLio8jesR4pLc5AWlq76r83otGnkgunjcXkkIiImozF5sC3m3MUPWvo6o9f9h1jYc93fQdyz/Ht8s95wwzIj2t4m+JO4kc3GzDmCyvyyo8i3BQLnZNnEMUzjqePg9i/TaLL+jz+1RY2LSVSk+g0/+z367Gnfh8xG4jxUz3ccPTAP9j21UewL/6h1nzvDL/uv+cJC2I00CRGIGPQOejUbyjCW/ZB3pH90BtMSM5oB4fkQLm1HJGiubAHmqW3OfWiy6nnbdGlbtnE+HQk9ruyznxfJoYCk0MiImoS+46VYvysTYrKZsY7H+6h4KuvFSWGNlvllewPbjVAUtDrqV2vwac3GjBqthX7C3ahdWInl886np4gXt+rucshOgrLrIiNMLisDxE1gaR2/q4BMOvGyp9iEPMbPgdMUVCDgmMHcWD9KhydOhVSsReeF1RCdIdid97rtBLlZ4Whb/Nw5FXYEGbUonW0ARpxt6/3HUC3GwC98yFO0rNOZWxajdbjxDBQMDkkIiKfczgkxYmhoHWSyOW9/jpK165TtJ3swj346BZliWEVs0mDD28x4I4ZVpRX5CM8zHkPhWUbNyHirFO9qo7o08Jlcrh29zFc2lX9dwmIQkJ4HFSj7AQwfeip13f8COh8fyHpRM4+bP9xHsJjEiDBgeJ3p8p3y5qcwucKj7XWoUOnSLSJNGBHgQVFZjtaJxiRZar7WTUbMweIbe6jCgcfJodERORzO44ov+L88W29G1x24rPPFSeGhSWHMW2kQdHzIKdz6DRyUjlmRg5au0gOj7z0Uq27hwZd3WEuTvfeit24pEuqz5sHEZFCt84HPr+63kWlFgdKLHYkR+qrv7P5FTYcyLciI9aAxAgfnk5/OBiIawFc/6m4aubVTTscDuzesBzZE/5dPc/z+3UeONnSo6aycCD9nCjoNVqcEWeAqZ7PoFfCaePU3vatau68BiImh0REpJoB71s3i0Sz6Pqb+ph370bhwoWKtlNuLsDrV5c2KjGsYtdp8MV1BjyypADhYXFuNS8dPTALn6zZ53Sdv3OL0TEtcDuiIAoqEQk4PvRDbH3pBtj+Up4iVY6SWpu+Wxj0Og1ionXolG5CSYWEIosd6TF66OSOTE4Rd+fKLBKiTE6e2ivIBj44+Xza7UsBQ7iiutnMFfj9q/dQuGQJDDnHYW3XAoadp8aNVJMjHew4p2M8MvRaOQGXm3+6Y/R3lcOHkMeYHBIRkU9VWJV3KDDpuu71zpcsFhz+92OKt/P8NUc9SgyrlEZq8N55eXj4F9fNznJffAmpTz0p/35F93SXyeGT87fg63sHelxHImo80fPjjiWzcXDRl9Ds3FvZA6U+zJ0NVPakWWPcPdvmCoiGkeI+WB5Kquf/04j6WVJ0CIvRwWyREJmoR+d3ByOn7a3Ie/djOOzKhnWoamippsSwJMaA1HHj0fPsa6CffmnjNnLpK0CLft6uWshjckhERD7tnfT6KcqagQpGvbbexHDfiJsUb6P5lPeBxRe5LDf58llIatYRwz/p4bTc0SQtLK3iYdzrvAOc8k2bqp8/VNK01GqX5M+nvvdMRE3n7y+mINqNpu+1yGPRVY45pyRxdJfxiB2OI3Y5wbPst2LTxnIAb1fuswmeRfSG4qQIpI0ag44DrkBMbFLtwew/uMD9DWadDQx5yat1pFP4F4mIiHyisNyKa99fq7i86MilPu4khi0++Rjv/nyvy3JP9XlSTgyFacO+cln+s7N2K9q/eP5QclR24iDGPHRlU7brHleJyHdEE0ZtZrqvNl6ZNIo7kWLSmQCNl+7LiCEe5Gf0xADp6lI0uBcco69D+ltv4sIfN+Kq2avR99LRtRPD3K2NSwyHTWZi6GO8c0hERF6XV1SBMZ+ud2ud4b0z68zLee45xetnzZqJUssJ/FK402XZrp2vr/49NqHGuFMN2GU+gbT/m4KcJ55wWfbg+H8hc/K7OLttEt5e5rwuL377F8c8JPKzuB69YF2/w/c7EsmiTpx6671yV1FmMwNiPNbTnmVsKsVtU9H2tnGwV5SjY/+hMJoUPA95fDewcJx7Oxp4f+Udw6jkRteVlGFySEREXmW1O9xODL+5b2CdnjuPvv02KrZsVbR+1tw5qDAXYsy8S1yWfaTH+Drzpl29AHfOv8rpelKLZorqYsvNRd6bbyL5gQfkDnb2HC11Wj6nsBxpsco6mCAi72t/9uXY9uEXTbvT05ujKhzCoV52S5M2M4179EG07nkB4pMyGreBL293r/ydK7zyDDkpw2alRETkVde8p7wpqfDZ7X3qJIaFixahZOUqxYmhRqfD2j8+VFS+95lj6syLjctyud5ts8+X704qUfrzalgOHsQLV54aRLkhd362QR73kIj8I7V5B0j+zj20+pPNT50PzO60mamPxiU03DUSUQ/dh4GLV8nNRHsOubXxieGSx5WXTe8B3LWSiWET451DIiLyir9yihQPWVHl4k4piI801pqXPfZO2E+cULR+i0+ny4mhMG2H68StU1jDd/+e7DMBL/020en6C35+GsNmfoH9N93scl+H7n8AWV/OgxKvLPkbr1zXDWekcmgLIn/o8+X/8Pu1F/u7Gqd6SxWdtbjb5FTcQfSwiWmz555BWptuiE1Mh9HoRq+tSmxfCGQr7KCs791AjxHe3T8pwjuHRETksV15xW4nhsL40zptEeMFKk0M9cnJ0EVVDnRstYoe/Fx78rpvGlzWrfNwl+vPzv4ev2/7FJnTpira377rrsfTl3dyWc4hAat38u4hkb+IzlIu+GEDTnRpDlWo6shGJHvuJohudlRT3KkFWr7xFs7/33p0O/sqNEtr7f3E0GYBfn5DWdnoNCaGfsQ7h0RE5BGHQ8KDc/50e70PRvaq/t2am4uD4+5za/3mk9+t/v2WGf1dln/5nInQuxg8uk9UFn4rcT4+4aK/56LvWXcivOdZKN+w0eV+u5YchhIL/ziMO85pragsEXmfaN5+/Zv1X0Cy223QyZ3J1M/usKO4LB8mUyTMljIc2LQah3/9Cfblq2Eye9DcU9wFFEminPC52VGNPgypL/0HJXk5SOtwJtJadYFGo4Ve74chMD5yPbxQtRub+PlPqoXJIRERNdryv4/gvz+47h20vuakqbGVV6YdZrPbiaHcnFRb2filorxA0Tqt2roeaPmeyz7Ab3Odn8TsNFfe4Ut94gn5Tqcruc89hzMH3oxNBmUd2hCR+jhLDOXlWh3ioiqHagg3hCPu7GHoevYw4OHK5ZbyMhQX5iExtf7nmw/v24qouGTExCWjuPg4cvdth85oRMt2vZCXvQN/LPoY9tx/0L3ZMRgcGmzeVwaTSYuMRCOy4vTQaTTIsdqh0WqQrNVAJ5LK+Cyg71D43eE/lJdl5zN+x+SQiIgaZdU/RxuVGN7QOxO39msp/24vLkb2baPdWj9p3Ljq5qTC6NnnuVznkmY9FW07IlJZAuew26DV6dHiow+RPeYOl+Vv/XkG9vYaiYKYRKfl3l2+E/dd4Hp8RCIKLMbwCCSGN9zxVXrWqc6roqMTEd31nOrXaVmdkDb+tcrhL37/ENg0A6md6z6fnG447bQ+f1/lsBGJrofr8alF9ysrx8RQFfjMIRERue23vScw6Xv3xwV7cmjH6sTQsm+f24lhyoTHEX3B+bXmKWmwdWlP5XcmZ976m8syr82vvGOoi4tD9OALXZbXazUYufR9hFc4H9bi+21HUG6xK64rEYUQkTj1GQuMXODesBEKn8n2iYUKY++ob5gYqgSTQyIiUkSSJLlH0iveWY3/LN7u9vpjzm6Ffq0r75yV/f47Dj38iFvrt/rqS0T0OvWcorB9h+uTpMvSBiA17UzF+9HpXXcAsaH41HOJiXfdpWi7zePDcf7GJS7LffDzHkXbI6IQFR4PjHYdS6ptmw+/EJ3Q5G5xXe7sB4Cw2KaoESnA5JCIiBR1OnP9lHWN6pFU+L+ru+KqMzNgPXJEfk7vyMuvuJ0Ynk5yOPD82udcrjvqkvfgrvevmO2yTPaBNfJP8exjffU7XZhBh7YH/0ZC4VGn5X7YfgQFZRY3aktEIccYAYz5QVnZX6dWNklVayc0na/2dU3IDUwOiYiowTuF4rlCcadw2OQ1MNsa3+Ne1+axKF7+Ew7eO87tdRsaeP7GT89yuW7/mLZojISkM1yWefTHcfKzh1Vir3F9gtOmWRRu+X4qdDXWq8+tH7lu2kpEIU60crj9e2VlZ9+EJvXNeGXlrp/u65qQm5gcEhFRLeKZt9m/ZePKd9c06rnC091xTiuUrFqFY5Mnu72uGEReY6zbzLOw8ICi9W8frHBcrXq8cfE0l2V+++Pj6t8Tbr7ZZfmqR2rGffWyy7IWD5JxIgoRhjDgKgWtI4oOA8d2NVVTEyBHQSuT6z8BElo1RY3I18nh5MmTkZWVhbCwMPTt2xe//dbwFc7p06fL48bUnMR6RETBTK1xUtwNtDskWO0O+eeUlbvlO4M1pxumrsMXv2Z7ZX/DrfvQ9T/34+hbb7u9bta8ufJnUZ87v77C5frRGgNiYlugsTIy+rgs89/N7zU49mJDqobw+NfcF52Wu/b9tfL/F1EwU2usDCgpnYHmvV2X+2pMU9QGmHursnIJHNc1KJLDOXPm4KGHHsKzzz6LjRs3onv37hgyZAjy8vIaXCcmJgY5OTnV0/79+z2tNxGRaqktTooEY/qavXLiJ+4GXjV5Da55b63889vNOfCFlOOHMOnHNzBwzQK42/+cITNTfoavahzD0+Ud2apoO68PmwtPXZ9Ru2fU+mz9+1RnD4bUVLSc8bnT8lEmPRIiK++Gjp/3otMmpkwQKZipLVYGtEtfVVZu6iBf1wQoPOi6zAjXz3VTgCSHb7zxBsaOHYvRo0ejU6dOmDJlCiIiIvDxx6ea1pxOXNlJTU2tnlJSUjytNxGRaqktTj4xfwu+2ngIviaSnHbZ2+Q7Yo//ORcmvfuNU/RpqWj+5n8bXC46oRn/3S0ut3NLq8sRG+95c6VrLnR9wvWfdc/Xeq0ND0fLL2Y4XUckh9FhemikyiamHfbX36Of1S5hwtdbmCBSUFJbrAxo4mLatR8pK7vzR9/V47cPlJWLSfNdHcgjbv3ltlgs2LBhAwYPHnxqA1qt/HrdunUNrldSUoKWLVsiMzMTw4YNw7Zt2zyrNRGRSqktTornB7ceKoJPSRLii47JSc6IzYvRqlkkdFr3x6uKGnQuMt913izz7QU3KtrWJf0nwBu0OgPubj/CZTmRtNZaLywMCSOdN61KiTnVHG7IrwuRdqz+5yi3HS7C28ua6FkhohCNlUEhqS2Qdbbrcsv/47veSzc5vzAmG/uTb/ZNTZ8cHjt2DHa7vc5VGvE6Nze33nU6dOggXwFauHAhZsyYAYfDgQEDBuDgwYZvOZvNZhQVFdWaiIgCgdri5J2fr4cv9d26Ev+a9xIeXvsJ2iZHISnKBF0jBjKOHXYlksY7792uuOgQ1hb+43JbafpIGEyR8Jbz+j/qssyTs+t22R47bBgM6c6vjsdFGKp/v375pw2esP341xF8sIrjH1LwUFusDBoX/UdZuQ9PJeVeU+J8mB7ZRc9X3uUk1fL5/07//v0xcuRI9OjRA4MGDcLXX3+NZs2aYerUqQ2uM3HiRMTGxlZP4uoQEVGw8mWcLCizer2+UaWFOHPHL3Lz0b7bf0arpEjEhJ1KctwlntFLGDmywc5nqjy24DpF25t47SJ4U0PPPta023wcVktZnfnN33nH6XqJUaZar0Wi3ZBv/jyMQwXlLutCFKx4TqmAiFetz3NdzmED8v7y7r5/eNp1GSV1o8BJDpOSkqDT6XDkyJFa88Vr0e5bCYPBgDPPPBO7djXcRGbChAkoLCysng4cUNZlORGRvwVjnNTbrAivKMXN30+VE8Lbv30H5/z5I5JjTPLdwsY0IRUieveWO54Rz+i5YrdZcNzuOjEa13EkwiMS4G3Trl7gsswtXwxosNfVhohPLiup9l1OZ72Y3v35BhwrMbusC5HaBWOsVA1xd06J9Z94b5+i1YOrZLPlQO/tj9SRHBqNRvTs2RPLli2rnidu6YvX4mqOEqIJwZYtW5CW1nBTG5PJJPdGVXMiIgoEgRwnNSefm9PZreiyeyPu/vpVOVG59+tXMPab/yKx8FSToebx4R7dLWz+9ltIefwxRWXF83w3fe56WAnh3H4PwRdi47IUldvxz+J67zy2+LjhjiL0Wg0iTXrFCeLoT37Hwfy6dymJAkkgx8qAcI3rcVpx4FfvPXu46H7XZS54yjv7Ip+q/ddIAcqdHVoAABvGSURBVNHl8KhRo9CrVy/06dMHb775JkpLS+WepgRxuz8jI0O+jS+88MIL6NevH9q2bYuCggJMmjRJ7nb4jjvu8P67ISJSATXFyXCDDuVWO/Q2C9oc2iF3fCJY9QZY9EZEVpQq3lZStAlx4Y1PCIXm77wNQ3q6W+v864tzFJX7/Kaf4Ut3tLsOH+780mmZZ9Y8hTntL68zXxcbi/TXJuHwI/U/v5gWG4ZdeSV1EsTJ1z4Ou67un+p7ZmzEOe2ScNe5bRBb47lFokCiplgZdJp1AJI7AXnbnZebdh5w5wrRDWzj9yUSzJw/XZczRjR+H6Te5HD48OE4evQonnnmGfmBYdHue+nSpdUPFGdnZ8u9TVXJz8+XuykWZePj4+WrRGvXrpW7LCYiCkZqipMtEiNw/O+duOl/H9aab7BZ5cmVhCijfIdQ3N3yRLP7/4Woc891ez2rtRx5NtcJ7LN9n4bRFA1fuujsp1wmh8Khw78jI73ugNSmVq2Q/OijyJs0qd71WjeLxJ6jtd+r6AF2/qCbcSCl7rAcP+88Jk8zxvRlgkgBSU2xMigNfR345FLX5XI3A2ndG7+fnf9zXeZm17GT1EEjBcDgSaJnKfEQsWgrHjLNASjk8DgnXxw/D8zaiKHvPeF6AxogPTYcdocEg16DML3Oa3XLnDYV+sREt9ezmEtw68yzlQ2mPfoPNIWFyx7HzOylLsvNuGlNgz2mlv7yC/ImvdbguqffQazy/tWPwmqo3YFNlUXjlX1OwYCxkjwRcsfPrJuAIhfj3IoLa7fVbRKv2NRBrsvctbLx26cmPc7ZlywRURDrurrhnjtbJkbId6tEpzJtm0UhwqiTB2b3VmIYN/wGtPh0eqMSQ0FpYjhrpG+H66jpivMafhawpltmNtzxQmS/fki65+4GlydGGeudf8/8SUgozKu/Xu+shs1ee6xFIiJcP911GXMx4LA3bvv71rguc80Hjds2+QWTQyKiINZm268NLhNDR2g9ec6kAanPPy/3Qhp/ww3QRUU1ahuvfXWNonIvDHwJ2nqeyfMVsa/pN/yoqOyvGxvuECJ68OAGezGNFs14dfX/v9zy/TTcN+8l6Oy2Osuufm8tpq3aDbOtkSd5RBR89Ebgxi9cl9vccK/KTn2voGVKs/aN2zb5BZNDIqIgJoabSIsLkzs8SY0NQ0psmDyvWYwJHj5GWKejmay5c+SkMLxL50ZvR/RMOvyTHvi9SNmA7x3aD0VTC49MwjXprjvJeePP92CzVjS4XPRimjVrZp354vnOjLhwhBvrv4OrlST5WUTRYU1c8fFayxb9mYPr3l+HHbnFit4LEYWA2Oauy/w6Rdkg9jWVHnNd5pKX3dsm+R2TQyKiICZ6K4006uWhEqJMekSb9HIHM7FhBo/vGsYOGybf/RIJoeiBVKPzrDmq6Hzmxk/PUlx+Qq/6e/5sCtcP/q+icjfP6Od0ucZorPcOokGnlRPElJgwp+uPXPI+2hysO7bYI/P+lJuafrs5B8UVrjseIqIg13OU6zI/PufeNmdc67pMS2XDkpB6MDkkIgpiukTvDggfc+klyHjrLTkhTBh5q3z3yxt27PwWt8xw7ySiR9eb4S+ieemTvR9XVHbG0nFOl8t3EGfPqneZeAY0K6n+jm2qDF37lXwX0WSpe5dyysrduOmDX/HVhoOw2PhMIlHI6lk5PIhTR7YC1nJl28vf73GVSJ2a7kENIiJqcpK18XeNIvr1ReyVV8rPDerT0ryWCJ6uIH8vnln9pFvriN5A/a1blxuB3103mVqUswb27+7CqMumNlhGYzDICXfR0u9x/IMP6jQzFZ0GHSsxo6Cs4f/PuxZU9oD6e8eB+KXzIEg1/r+mr90nT6Ip8b8vOQMD2yYpfJdEFBRES5Gss4F9q52X278WaHuh6+3NHem6TKdhyutHqsHkkIgoiBkzW8BeVARHWSns+QWA49Tdo5Qnn0T5pk0wtm6FqEGDfJb8OfPEzAuw23zCrXWe6vNkg8NENDWRpDrrmbTKd0d+RcXCW3HXsM+dlou5ZAhM7dri8L8fq7MsKapyGAtnCaLQ+6818iRsat8HG9v3Q2lEZVfmDgl4ecnfGNwxBeMvaAutNx88JSJ1O+9xYPrlzsssewFoc0FlMtkQm0XZ/roo61iM1IXJIRFREEt74flaryWbDY6yMjjKy2FISUHEWWf6pV7ibuFdC652e72Xzp2Etm0uglqIJPWG5hdg7sHlLssuP7EFZ/3xMXr3uN1pOVObNkiZ8DiOTHy53gRRp9XgeImyk7Mz//lNnoQNHfpjd/MOOJKQjh//OiJPwvkdmuGybmk4IzUExnwjCmViPEMlPrkUuN3JeK5L6168qqPVOUB8lvK6kWpoJEmSoHIhN2AphSQe5xQKx8+2v+fjhXW1E1almmqg+8b0sOpORzrvXTEXiUntFW237Pf1yHv11TrLKqx2HMxX+GxQPaYNewgVpog684d2S8OV3dPljnDETUUx3InaBMqxTuoU8sdPUQ4w60bX5UYvAYx1Y4TiQe/vWAY04TBD5L3jnMkhkUrwOKdgPn7cTaACJTGsSQzBodT/nTsJbdy4A1q+dRtyn3221jzxxzunsAJl5rpjHrpjQ4d++CurO07ENquz7MKOybh7UBuEGTzriTaUjnVSNx4/CpO77iOAfnfXnf/3t8DKuhesFCeW1CSYHBIFAR7nFGzHj9VciiVrXsIX+7/zaDuBkBgK/+xagqd/nqC4/I0tLsbVF7o4yTpNycqVOPr2O7XmOSQJe46WwltEsni4WQuUhEfjWFwKJI22Tg+ql3VNw6D2zZCZECHfxSw125B48pnIUDzWKXDw+AGQuwVYeJ/rcmN/Ak5/Fl1JYnnXysbXjbyCySFREOBxTsFw/BQV7MdvW7/ABzvrjt3nrrbGOLx08woEkvfm34iVBX+7tc7NLS/DkAGPwRQWq6i8vaQE2aNuqzO/uMKGI0V1h7Pwhp+7D8af7XrLw2VElRehOCK23mapQlyEAReckYxhPTJgtVd2gJQcbXLaRFWciohmsuVWO9o0i5Kfq1T7sU6BicfPScv+A+z60XmZzlcDZz9w6rW1Avh4iPN1bpwJxGZ4p47UaEwOiYIAj3MK1ONn955leHPNs8izlXhtm4+f9SDO7K5g0Ga1kSTM/d/9+OrwKrdX/fj67xEZlaK4fMU//yBnwhO15tklCceKzXKi6A9/t+yCIwkZ2J/aGgVRCdDIjV9R5+5jfbR2G3QOO6wGk9yT6sWdU+stx1hJnuDx48FdQN41DInjnE+KEhGRYuXl+di+cxE+/XMqjti815Sxplkj18uDzAckjQY3DHkbnbd/iRd+fdGtVW+fNwQjWw/D0EHKOuwJa99eHhtRPM+57/ob5Hk6jUbuTCYlBrDYHcg+XoamdMb+rfLkqXnHRmH/hX0x9tzWXqkXEdXDGAVYXFzUEwmhaF76Y+1nnj3qDZVUjXcOiVSCxzn56/ix2yywWstQWJQNnVaP8op8/LTlUyw58jscJ+/8NIULE7vjzis/RbDYuXMJnlqt/BnEmt685GOkpbnXgY/4c37gjrGwFxTUml9UYUVekRmBZm2X83DTc+PQLqX2CSdjJXmCx08N+fuVDWav1BVvAun+GR6JauOdQyIicuq52UPwV3nluHZq9MbFU5GR0RfBpF27S/F2dDr+tcT95rEPLD01FuIbQz5CRnpPl+uIZ/pafPSh/Lv18GEUfPklSlauQkyYQZ5KLTbkFPjmmURfGLB1Bdau6Id2w8/zd1WIglNcCyA8HijP9872mBgGBd45JFIJHufkq+PHnSEWmtqMm9bIA8kHM4fdhhGf9fLKtt69fDaSEttDc3oPgk6Ub9uG3GfqNgk7WmJGYZkVara9VXfc/9krteYxVpInePycRqQB07xwAWbELCAm3Rs1Ii/gnUMiIqrXil9ehxpNH74c4REJCAXi+UkxHIc3kvT7FtcevPqdy2YgOaWL03XCO3eWn010VFSgZNUqHJ86TZ7fLMokT1XKLHYcLiiHmnTa+6e/q0AU3EQvwrd8Dcy4xrPtMDEMGkwOiYiC2Nr9P0EtQikhrI9IENf89g7e3vaR17Y5/rtbar1O0UfihaGfIy6hbkcu2rAwxFx8sTzVHBbDsm8/cp99FhFGHdomR8nzRWc2VptDvrtos/u3gZHZaofJoPNrHYiCWmSiZ+vf4WJIDAooTA6JiILYjvJcv+7/6b5Pokun6/1aBzUZ2Ge8PPmqqa/oQfauhfXfAQjT6nFB0pm46aI3YTBWNuXVRUUhvEvlncWaQ2SUrlqFoiVLEWmqe5pQYrYht7Bpnl006LQozDuO5IzkJtkfUcgSCd6Hg91fr/sIQGfwRY3IT5gcEhEFsQqp6ce7e+uSj5Gc3C1wh6NooruIoofYp+Zcin3WwibZZ4XDhu/yfsd3Xwx0WTbBEIYL7x6Ii3qPR4QxEYaIyh5DHWYzCmbPRtQ3i2qVF3cajxab5UHsxXAaiVFGRJn08uuSCjuKK9x/trF1s0hE9e6NeB5GRL4nEjyR6P05y731+t3tqxqRnzDkEhEFqfLy2kMa+MIL5/wfOrS9DIGkotSKknwzHHYH9EYdIuNMMIbp5N4+m5LBEIFXblkpj1M4/otzcNRH40Y2xglHBeYdXCZP9bq89kujRULbPQ7EFkmw6TXY2VqLwhggsgxIPiah90Y7YouVNU+N0BrR8rIbkf7I4154J0SkWJ873UsO71zhy9qQnzA5JCIKUsVFB5GsDUOeo/FNALuEp6JTYie0bNYNPbuNdKuXTH+THBJO5Jbi8D8FsNscKD5egfwjZagoqXsXS6fXIDohDEktotFMTJnRCItsmqZS4jN999Y1cq+mC356HHMOBN7zOxajBtvPqPtcYEmUmDTYk+XucTMbt64ow+XnveC1OhKRCyK+XzIRWOpifFatDrhjWWVnNhR0mBwSEQUp0YvlO6N+gd1SjuPH/8aR438jr2APjhQfQqQxGsMufKWyG/MA+gMvRl9y2CXYLHZYKuywVoifNpjLbCgvsaCsqHIqOVFx8u6gsrtVdpuEgrxyedq1Pk+eJ+4oxqVEICYxDFHxJkTFhyE82ojwKAN0Bu8nyaIZ7jWDX4N4YrCkOAfv/W88NhTtQqj6fO83aJ16FjqdcZW/q0IhwuGQUJBbhoK8MjnWKCE5Tv48Wb6qBUKt9Z1sSpSrXqeqYD3l5c2dHq/rq6NGIxeRt6mpvX3xU6M9+fPkZjRajRwn8/YVwWZ1IKN9O2javATzxq9xtDgRBeZElFmjEGEoQbPwXFiaD0JUVhuk7imSWz1odVro9Fo5JtqtDnl/xrDK9ELsq+rz0erEvjW16qAVr7WAVq8VVZXrW1Vv8bq6NUfVfFLvOIeTJ0/GpEmTkJubi+7du+Odd95Bnz59Giw/b948PP3009i3bx/atWuHV155BZdddplHY3UcyTmCPYunyleGbcYY2A3RcGh18kEpnneQv1niZ9Xbkyq/a/JV75OL5SNWXP2odrKQ/OWr50t3+muNBhJ0cDjs8h91jcMBjWSvvPICsexksQaiQtXmHOKLW1m7k1/qkxUU9RPfGmhghwS9zQxINkgavYhg0NgrAFsF7KZYOAwRlfuSpJMBxAaDuQA6WwlsURmQdEZ5e9qKAkBnlF9LulNdmIt9iL3UqphcD82pb3aN9w1oT9VR/tw1gP3ke9eKdaret/PDS5K3c+ozEp9EfaXk/VUtOv2/pXpd+QOotfjUf1nlLzqNFlrx/3baW5L/H07WV4SoukHo5HuR37IDkqbmHwHx/yavVTlP3riox8mTx5OBrpIWkkYnf05n9O6F9Kw21Xvg2EvBRQ1xsiaROB07WAJruYgmLsK+OM7l6dRxfvqJjryNk+XEP1VLRUwWJxpV64jXoow46aosL+aJ1+Ik4mR5UcZe+VOexO92Sb7bJ042xCSSQdvJn2oYnVdv1MJg0sknRaJpqjgx0osTJGPlT7Fcp9dV/jRUnjydOimrcYImnyyJkHAy7lSFOrGs6uTK7sDOfcvwxT+iudepN1/9qZ+MR7Xnn/w7dnJO7eX1UfihnrYvX2sRFolnR8+tdceasTK4qCVWiubma7/aJcdJqsFhA8T5p94ksji/VaP6tKw6+ZVfVJ+qVifAcqioWaYq4Ty1vOY5Xs1EunqupvqfU/uuWn7a+eGpZVUJuDjVU57Inrares+ClehxUQvEp0b6Z5zDOXPm4KGHHsKUKVPQt29fvPnmmxgyZAh27NiB5OS6vYmtXbsWI0aMwMSJE3H55Zdj5syZuOqqq7Bx40Z06eJ8bCZnVi76HkVrWtSzRNPAz/qcTHBcbsOZk4kLqrKN+rrbdrUdTQPzdKe9DjutTISTbRnFfYOTUxWxvUQX76M+DXUhXrOONdeX3Hjvp3/+DZ141JPNuaVmZunq5MZVGa2CdaquQFQtq/k+KjsIKT74JYY9+Jii2lNgUUucFETy9fcvudi++pB8d4y8w2YRiaqncckdrXARnqh+ZbEU42DxAQS70ojD+Oufb3j3MEipKVZu+iGbiWF9REJo9H9Dw+qLgjUuRiq+qBUCrOaTN3j8cedQfHl79+6Nd999V34trv5mZmZi/PjxePzxug+PDx8+HKWlpVi8eHH1vH79+qFHjx5yMFCivuz3yykfo2Bd4Dz7QnS6pDOP4qoHHq1+zavhwUMtcVI0t/xt8V75mTsKfhZLCY6X5qDc4X7PoGpODsO7rMYTw7+tnsdYGTzUEivFXcNFb/+hilYJRI1x3s0dkNwypunvHFosFmzYsAETJpx6UFWr1WLw4MFYt25dveuI+eKqUE3iqtCCBQsa3I/ZbJanKuKNVb3R6rqUHEe5pXKwXqJAVFZhrnVMV/3eiJbepCJqiZM2qx0/ff43ik80zXh0pA6x4WmIrWe+xVqMgtJjKHNYEEjiwsMw7KwJjJVBSC2xUsjZXYDSct41pMBVXFyEsFOHtEdx0q3k8NixY7Db7UhJSak1X7z++++/611HtCGvr7yY3xDRXOD555+vM19cTSIKGrMBTHi6zuzi4mL5ag8FJsZJIu965KX65zNWBjbGSiIv+o/34qT/GxHXQ1xFqnllSDQzOHHiBBITE+vtrUhkx+JLfuDAATYx8RJ+pk3/mYqrO+JLnJ6e7pf6UWBxN04K/F57Fz9P/3ymjJXkDp5T+h8/08A6p3QrOUxKSoJOp8ORI0dqzRevU1NT611HzHenvGAymeSppri4OJf1Ex8ODzrv4mfatJ8pr4IHPrXHSYHfa+/i59n0nyljZeBTe6zk99r7+JkGxjmlWz26GI1G9OzZE8uWLat1BUa87t+/f73riPk1yws//PBDg+WJiAIZ4yQRkWuMlUTq5HazUnFrftSoUejVq5c8Do3odlj0HDV69Gh5+ciRI5GRkSG38Rbuv/9+DBo0CK+//jqGDh2K2bNnY/369Zg2bZr33w0RkQowThIRucZYSRQEyaHoRvjo0aN45pln5AeARffBS5curX5AODs7W+5tqsqAAQPkcWieeuopPPHEE/KApaJXKU/Ho6lJNBd49tln6zQboMbjZ+p9/ExDhxrjpMBj0Lv4eXofP9PQosZYyWPQ+/iZBtZn6vY4h0RERERERBR8OIo8ERERERERMTkkIiIiIiIiJodERERERETE5JCIiIiIiIiCJjmcPHkysrKyEBYWhr59++K3337zd5UCwnPPPQeNRlNrOuOMM6qXV1RUYNy4cUhMTERUVBSuvfbaOoPPhrpVq1bhiiuuQHp6uvz5iV7TahL9PYle2NLS0hAeHo7Bgwdj586dtcqcOHECN998szyIqRiYd8yYMSgpKWnid0LBjnGy8RgrPcdYSYGCsbJxGCeDJ04GfHI4Z84ceZwc0Z3rxo0b0b17dwwZMgR5eXn+rlpA6Ny5M3Jycqqn1atXVy978MEHsWjRIsybNw8rV67E4cOHcc011/i1vmojxmMSx5z4Y1KfV199FW+//TamTJmCX3/9FZGRkfLxKYJkFfEl3rZtmzyQ7+LFi+XgcOeddzbhu6BgxzjpOcZKzzBWUiBgrPQM42SQxEkpwPXp00caN25c9Wu73S6lp6dLEydO9Gu9AsGzzz4rde/evd5lBQUFksFgkObNm1c976+//hLDnkjr1q1rwloGDvHZzJ8/v/q1w+GQUlNTpUmTJtX6XE0mkzRr1iz59fbt2+X1fv/99+oyS5YskTQajXTo0KEmfgcUrBgnPcNY6V2MlaRWjJWNxzgZPHEyoO8cWiwWbNiwQb6tWkUMliper1u3zq91CxTidrS4fd26dWv5aoMYcFYQn6vVaq312YrmAS1atOBnq9DevXvlQX1rfoaxsbFyM5Wqz1D8FLf9e/XqVV1GlBfHsbgqROQpxknvYKz0HcZKUgPGSs8xTgZHnAzo5PDYsWOw2+1ISUmpNV+8Fh8gOScOqOnTp2Pp0qV4//335QPvnHPOQXFxsfz5GY1G+SCriZ+tclWfk7PjU/xMTk6utVyv1yMhIYGfM3kF46TnGCt9i7GS1ICx0jOMk8ETJ/VeqTEFpEsvvbT6927duslf7JYtW2Lu3Lnyg65ERMRYSUTkCuNk8AjoO4dJSUnQ6XR1ejsSr1NTU/1Wr0Alrui0b98eu3btkj8/0cSioKCgVhl+tspVfU7Ojk/x8/QH3W02m9zbFD9n8gbGSe9jrPQuxkpSA8ZK72KcDNw4GdDJobhF3bNnTyxbtqx6nsPhkF/379/fr3ULRKKr2927d8td5IrP1WAw1Ppsd+zYIbcf52erTKtWreQvY83PsKioSG73XfUZip8iWIr2+FWWL18uH8fiqhuRpxgnvY+x0rsYK0kNGCu9i3EygOOkFOBmz54t99Qzffp0uZeeO++8U4qLi5Nyc3P9XTXVe/jhh6UVK1ZIe/fuldasWSMNHjxYSkpKkvLy8uTld999t9SiRQtp+fLl0vr166X+/fvLE51SXFwsbdq0SZ7E1+mNN96Qf9+/f7+8/OWXX5aPx4ULF0qbN2+Whg0bJrVq1UoqLy+v3sYll1winXnmmdKvv/4qrV69WmrXrp00YsQIP74rCjaMk55hrPQcYyUFAsbKxmOcDJ44GfDJofDOO+/IB5zRaJS7If7ll1/8XaWAMHz4cCktLU3+3DIyMuTXu3btql4uDrZ7771Xio+PlyIiIqSrr75aysnJ8Wud1eann36Sv8CnT6NGjaruevjpp5+WUlJS5D84F154obRjx45a2zh+/Lj8xY2KipJiYmKk0aNHywGCyJsYJxuPsdJzjJUUKBgrG4dxMnjipEb8490bn0RERERERBRoAvqZQyIiIiIiIvIOJodERERERETE5JCIiIiIiIiYHBIRERERERGTQyIiIiIiIhKYHBIRERERERGTQyIiIiIiImJySEREREREREwOiYiIiIiISGBySEREREREREwOiYiIiIiIiMkhERERERERCPh/d5XVeGERzUMAAAAASUVORK5CYII=", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def Dhamala_example1():\n", " sampling_frequency = 200\n", " n_time_samples, n_lags, n_signals = 4000, 2, 3\n", " coefficients = np.zeros((n_lags, n_signals, n_signals))\n", "\n", " coefficients[0, 0, 0] = 0.80\n", " coefficients[1, 0, 0] = -0.50\n", " coefficients[0, 0, 2] = 0.40\n", " coefficients[0, 1, 1] = 0.53\n", " coefficients[1, 1, 1] = -0.80\n", " coefficients[0, 2, 2] = 0.50\n", " coefficients[1, 2, 2] = -0.20\n", " coefficients[0, 2, 1] = 0.50\n", "\n", " noise_covariance = np.eye(n_signals) * [0.25, 1.00, 0.25]\n", " return (\n", " simulate_MVAR(\n", " coefficients,\n", " noise_covariance=noise_covariance,\n", " n_time_samples=n_time_samples,\n", " n_trials=4000,\n", " n_burnin_samples=1000,\n", " ),\n", " sampling_frequency,\n", " )\n", "\n", "\n", "plot_directional(*Dhamala_example1(), time_halfbandwidth_product=1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Dhamala Example 2\n", "\n", "> Dhamala, M., Rangarajan, G., and Ding, M. (2008). Analyzing information flow in brain networks with nonparametric Granger causality. NeuroImage 41, 354–362." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Frequency')" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def Dhamala_example2a():\n", " sampling_frequency = 200\n", " n_time_samples, n_lags, n_signals = 450, 2, 2\n", " coefficients = np.zeros((n_lags, n_signals, n_signals))\n", "\n", " coefficients[0, 0, 0] = 0.53\n", " coefficients[1, 0, 0] = -0.80\n", " coefficients[0, 0, 1] = 0.50\n", " coefficients[0, 1, 1] = 0.53\n", " coefficients[1, 1, 1] = -0.80\n", " coefficients[0, 1, 0] = 0.00\n", "\n", " noise_covariance = np.eye(n_signals) * [0.25, 0.25]\n", " return (\n", " simulate_MVAR(\n", " coefficients,\n", " noise_covariance=noise_covariance,\n", " n_time_samples=n_time_samples,\n", " n_trials=1000,\n", " n_burnin_samples=1000,\n", " ),\n", " sampling_frequency,\n", " )\n", "\n", "\n", "def Dhamala_example2b():\n", " sampling_frequency = 200\n", " n_time_samples, n_lags, n_signals = 450, 2, 2\n", " coefficients = np.zeros((n_lags, n_signals, n_signals))\n", "\n", " coefficients[0, 0, 0] = 0.53\n", " coefficients[1, 0, 0] = -0.80\n", " coefficients[0, 0, 1] = 0.00\n", " coefficients[0, 1, 1] = 0.53\n", " coefficients[1, 1, 1] = -0.80\n", " coefficients[0, 1, 0] = 0.50\n", "\n", " noise_covariance = np.eye(n_signals) * [0.25, 0.25]\n", " return (\n", " simulate_MVAR(\n", " coefficients,\n", " noise_covariance=noise_covariance,\n", " n_time_samples=n_time_samples,\n", " n_trials=1000,\n", " n_burnin_samples=1000,\n", " ),\n", " sampling_frequency,\n", " )\n", "\n", "\n", "time_series1, sampling_frequency = Dhamala_example2a()\n", "time_series2, _ = Dhamala_example2b()\n", "time_series = np.concatenate((time_series1, time_series2), axis=0)\n", "\n", "time_halfbandwidth_product = 1\n", "\n", "m = Multitaper(\n", " prepare_time_series(time_series),\n", " sampling_frequency=sampling_frequency,\n", " time_halfbandwidth_product=time_halfbandwidth_product,\n", " start_time=0,\n", " time_window_duration=0.500,\n", " time_window_step=0.250,\n", ")\n", "c = Connectivity.from_multitaper(m)\n", "granger = c.pairwise_spectral_granger_prediction()\n", "\n", "fig, ax = plt.subplots(2, 1, sharex=True, sharey=True)\n", "\n", "ax[0].pcolormesh(\n", " c.time, c.frequencies, granger[..., :, 0, 1].T, cmap=\"viridis\", shading=\"auto\"\n", ")\n", "ax[0].set_title(\"x1 -> x2\")\n", "ax[0].set_ylabel(\"Frequency\")\n", "ax[1].pcolormesh(\n", " c.time, c.frequencies, granger[..., :, 1, 0].T, cmap=\"viridis\", shading=\"auto\"\n", ")\n", "ax[1].set_title(\"x2 -> x1\")\n", "ax[1].set_xlabel(\"Time\")\n", "ax[1].set_ylabel(\"Frequency\")" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Frequency')" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dtf = c.directed_transfer_function()\n", "\n", "fig, ax = plt.subplots(2, 1, sharex=True, sharey=True)\n", "\n", "ax[0].pcolormesh(\n", " c.time, c.frequencies, dtf[..., :, 0, 1].T, cmap=\"viridis\", shading=\"auto\"\n", ")\n", "ax[0].set_title(\"x1 -> x2\")\n", "ax[0].set_ylabel(\"Frequency\")\n", "ax[1].pcolormesh(\n", " c.time, c.frequencies, dtf[..., :, 1, 0].T, cmap=\"viridis\", shading=\"auto\"\n", ")\n", "ax[1].set_title(\"x2 -> x1\")\n", "ax[1].set_xlabel(\"Time\")\n", "ax[1].set_ylabel(\"Frequency\")" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Frequency')" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pdc = c.partial_directed_coherence()\n", "\n", "fig, ax = plt.subplots(2, 1, sharex=True, sharey=True)\n", "\n", "ax[0].pcolormesh(c.time, c.frequencies, pdc[..., :, 0, 1].T, cmap=\"viridis\")\n", "ax[0].set_title(\"x1 -> x2\")\n", "ax[0].set_ylabel(\"Frequency\")\n", "ax[1].pcolormesh(c.time, c.frequencies, pdc[..., :, 1, 0].T, cmap=\"viridis\")\n", "ax[1].set_title(\"x2 -> x1\")\n", "ax[1].set_xlabel(\"Time\")\n", "ax[1].set_ylabel(\"Frequency\")" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "anaconda-cloud": {}, "jupytext": { "formats": "ipynb,py:percent" }, "kernelspec": { "display_name": "spectral_connectivity", "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": "3.12.11" }, "widgets": { "application/vnd.jupyter.widget-state+json": { "state": {}, "version_major": 2, "version_minor": 0 } } }, "nbformat": 4, "nbformat_minor": 4 }