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Created June 14, 2023 18:23
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projects/demo-notebooks/Tom-Gala-Agama-DF.ipynb
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{
"cells": [
{
"metadata": {
"trusted": true,
"ExecuteTime": {
"start_time": "2023-06-14T18:04:17.602002Z",
"end_time": "2023-06-14T18:04:18.981343Z"
}
},
"id": "470a96f9",
"cell_type": "code",
"source": "import astropy.coordinates as coord\nimport astropy.units as u\nimport matplotlib as mpl\nimport matplotlib.pyplot as plt\n%matplotlib inline\nimport numpy as np\n\nimport gala.coordinates as gc\nimport gala.dynamics as gd\nimport gala.potential as gp\nfrom gala.units import galactic\n\nimport agama\nagama.setUnits(**{k: galactic[k] for k in ['length', 'mass', 'time']})",
"execution_count": 1,
"outputs": []
},
{
"metadata": {},
"id": "5bc45dd5",
"cell_type": "markdown",
"source": "# Milky Way Disk\n\nI think we should use a quasi-isothermal DF with parameters from Sanders & Binney (https://arxiv.org/abs/1501.02227) using an updated Milky Way model from Gala. This is slightly wrong, because we technically need to use the same potential model that Jason used for this to match the data. But it will be close. We'll have to fix this for the final runs / paper!"
},
{
"metadata": {
"trusted": true,
"ExecuteTime": {
"start_time": "2023-06-14T18:04:19.912684Z",
"end_time": "2023-06-14T18:04:19.924567Z"
}
},
"id": "f95c3ce5",
"cell_type": "code",
"source": "gala_pot = gp.MilkyWayPotential2022()",
"execution_count": 2,
"outputs": []
},
{
"metadata": {},
"id": "f8aa7df9",
"cell_type": "markdown",
"source": "This is a lot of ugly code, but all this is doing is converting the Gala potential to an Agama potential. I really need to make an internal interface to do this..."
},
{
"metadata": {
"trusted": true,
"ExecuteTime": {
"start_time": "2023-06-14T18:04:20.312877Z",
"end_time": "2023-06-14T18:04:20.328436Z"
}
},
"id": "ae92edc3",
"cell_type": "code",
"source": "agama_components = []\nfor p in gala_pot[\"disk\"].get_three_potentials().values():\n agama_components.append(\n dict(\n type=\"miyamotonagai\",\n mass=p.parameters[\"m\"].value,\n scaleradius=p.parameters[\"a\"].value,\n scaleheight=p.parameters[\"b\"].value,\n )\n )\n\nfor k in [\"bulge\", \"nucleus\"]:\n p = gala_pot[k]\n agama_components.append(\n dict(\n type=\"dehnen\",\n mass=p.parameters[\"m\"].value,\n scaleradius=p.parameters[\"c\"].value,\n gamma=1.0,\n )\n )\n\np = gala_pot[\"halo\"]\nagama_components.append(\n dict(\n type=\"nfw\", mass=p.parameters[\"m\"].value, scaleradius=p.parameters[\"r_s\"].value\n )\n)\nagama_pot = agama.Potential(*agama_components)",
"execution_count": 3,
"outputs": []
},
{
"metadata": {},
"id": "5f89821d",
"cell_type": "markdown",
"source": "I read these parameter values out of Table 3 in Sanders & Binney 2015:"
},
{
"metadata": {
"trusted": true,
"ExecuteTime": {
"start_time": "2023-06-14T18:12:20.669584Z",
"end_time": "2023-06-14T18:12:20.678427Z"
}
},
"id": "b969bc98",
"cell_type": "code",
"source": "# APW note to self: see https://github.com/GalacticDynamics-Oxford/Agama/blob/master/src/df_factory.cpp#L75\ndf = agama.DistributionFunction(\n type='QuasiIsothermal', \n Rdisk=3.45,\n Rsigmar=7.8,\n Rsigmaz=7.8,\n sigmar0=(48.3*u.km/u.s).decompose(galactic).value,\n sigmaz0=(30.7*u.km/u.s).decompose(galactic).value,\n potential=agama_pot,\n Sigma0=1.\n)",
"execution_count": 14,
"outputs": []
},
{
"metadata": {},
"id": "21c8b200",
"cell_type": "markdown",
"source": "Now we can sample 100,000 (or whatever) initial conditions from this DF, embedded within the Gala Milky Way model, using Agama:"
},
{
"metadata": {
"trusted": true,
"ExecuteTime": {
"start_time": "2023-06-14T18:12:21.057328Z",
"end_time": "2023-06-14T18:12:26.359489Z"
}
},
"id": "9e679bd4",
"cell_type": "code",
"source": "xv, _ = agama.GalaxyModel(agama_pot, df).sample(100_000)",
"execution_count": 15,
"outputs": []
},
{
"metadata": {},
"id": "d0d976c6",
"cell_type": "markdown",
"source": "We can convert back to a Gala `PhaseSpacePosition` instance with:"
},
{
"metadata": {
"trusted": true,
"ExecuteTime": {
"start_time": "2023-06-14T18:12:26.360616Z",
"end_time": "2023-06-14T18:12:26.365662Z"
}
},
"id": "dff07119",
"cell_type": "code",
"source": "w0 = gd.PhaseSpacePosition.from_w(xv.T, units=galactic)",
"execution_count": 16,
"outputs": []
},
{
"metadata": {
"trusted": true,
"ExecuteTime": {
"start_time": "2023-06-14T18:12:26.366466Z",
"end_time": "2023-06-14T18:12:26.788460Z"
}
},
"id": "51a8badf",
"cell_type": "code",
"source": "w0.plot();",
"execution_count": 17,
"outputs": [
{
"output_type": "display_data",
"data": {
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},
"metadata": {
"image/png": {
"width": 872,
"height": 296
}
}
}
]
},
{
"metadata": {},
"id": "ad1eee5c",
"cell_type": "markdown",
"source": "Sanity check that the density profile doesn't change with time: Integrate the initial conditions forward (for a subset) with Gala and show that the R, z distribution is the same:"
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2023-06-09T19:38:58.607910Z",
"start_time": "2023-06-09T19:38:51.577126Z"
},
"trusted": false
},
"id": "ec8c4626",
"cell_type": "code",
"source": "wf = gala_pot.integrate_orbit(w0[:10_000], dt=0.5, n_steps=4000, store_all=False)[0]",
"execution_count": 95,
"outputs": []
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2023-06-09T19:40:26.245355Z",
"start_time": "2023-06-09T19:40:26.082320Z"
},
"trusted": false
},
"id": "901d4809",
"cell_type": "code",
"source": "style = dict(marker='o', ms=1.5, ls='none', plot_function=plt.plot)\nfig = w0[:10_000].cylindrical.plot(['rho', 'z'], **style)\nfig = wf.cylindrical.plot(['rho', 'z'], axes=fig.axes, **style)\nfig.axes[0].set_xlim(0, 30)\nfig.axes[0].set_ylim(-1, 1)",
"execution_count": 102,
"outputs": [
{
"data": {
"text/plain": "(-1.0, 1.0)"
},
"execution_count": 102,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": "<Figure size 288x288 with 1 Axes>"
},
"metadata": {
"image/png": {
"height": 296,
"width": 296
}
},
"output_type": "display_data"
}
]
},
{
"metadata": {},
"id": "57962e43",
"cell_type": "markdown",
"source": "---\n\n# Dwarf galaxy\n\nFor this model, we'll use a different action-based DF from Pascale et al. 2019 (https://arxiv.org/abs/1904.08447). Parameters read out of Table 5 for \"Carina\" (why not?). "
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2023-06-09T19:41:17.619403Z",
"start_time": "2023-06-09T19:41:17.608451Z"
},
"trusted": false
},
"id": "7fdf2aa9",
"cell_type": "code",
"source": "dwarf_gala_pot = gp.NFWPotential(m=8.67e8, r_s=1.0, units=galactic)\ndwarf_agama_pot = agama.Potential(\n type=\"nfw\",\n mass=dwarf_gala_pot.parameters[\"m\"].decompose(galactic).value,\n scaleradius=dwarf_gala_pot.parameters[\"r_s\"].decompose(galactic).value,\n)",
"execution_count": 103,
"outputs": []
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2023-06-09T19:41:18.287536Z",
"start_time": "2023-06-09T19:41:18.282518Z"
},
"trusted": false
},
"id": "b9c50d5f",
"cell_type": "code",
"source": "J0_star = (0.677 * u.kpc*u.km/u.s).decompose(galactic).value\nalpha = 0.946\neta = 0.5\n\ndef dwarf_df(J):\n Jr, Jz, Jphi = J.T\n kJ = Jr + eta * (np.abs(Jphi) + Jz)\n return np.exp(-(kJ / J0_star)**alpha)",
"execution_count": 104,
"outputs": []
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2023-06-09T19:41:18.787808Z",
"start_time": "2023-06-09T19:41:18.431590Z"
},
"trusted": false
},
"id": "6c787a45",
"cell_type": "code",
"source": "gm = agama.GalaxyModel(dwarf_agama_pot, dwarf_df)\ndwarf_xv, _ = gm.sample(100_000)",
"execution_count": 105,
"outputs": []
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2023-06-09T19:41:18.793523Z",
"start_time": "2023-06-09T19:41:18.789083Z"
},
"trusted": false
},
"id": "ba4eafc6",
"cell_type": "code",
"source": "dwarf_w0 = gd.PhaseSpacePosition.from_w(dwarf_xv.T, units=galactic)",
"execution_count": 106,
"outputs": []
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2023-06-09T19:41:19.203624Z",
"start_time": "2023-06-09T19:41:19.200725Z"
},
"trusted": false
},
"id": "4fdecce6",
"cell_type": "code",
"source": "# H, xe = np.histogram(dwarf_w0.cylindrical.rho.value, bins=np.geomspace(8e-3, 2, 128))\n# xc = 0.5 * (xe[:-1] + xe[1:])\n\n# plt.plot(xc, H / xc**2)\n# plt.xscale('log')\n# plt.yscale('log')",
"execution_count": 107,
"outputs": []
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2023-06-09T19:41:20.033088Z",
"start_time": "2023-06-09T19:41:19.577747Z"
},
"trusted": false
},
"id": "2295638d",
"cell_type": "code",
"source": "dwarf_w0.plot();",
"execution_count": 108,
"outputs": [
{
"data": {
"image/png": 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k9P7xSmbtKqfP6dbDef78+ULHoyiK7eNz5sxxfa1bzya/vYtqtRq9/PLLrtsNDg7S4YcfLjVSy6331ejoKI2NjbX934nZY5vXU9trby+3ec7RgwsAAMB9xDYvb1qwYAFNTEzYPlepVKRH0ltHcPEElSdFIcg16AAAANIqruthZ65A5D7jT1D1ZUHnKVGPjEtDngUgLeDGPMgY9EBKl7DXbOL1XNF13XWUUFRrSQXxXn7WQPMbqqq6Hp9Tzya/vYuC+nyya5Z52Zfod+KF0wg09ODKDlzjgAfnBoAYtxHbMnmFWz5pcsv1gsyTsB4qZBGuccCDcwPA+4gtr/VlQby3kyhHxqGuBJLMzzUODWjgCAlUekR1oTIMgxUKBeH3ivICGuR7VSoVpmkaIyKmaRqrVCptzzlVABUKBdcpEM19273WjVNlldP7ilT8iEzdKBK8ZMzL/kUSO5kpF0Uqw5zOJUzvmB24xgEPzg2IQpobZ5yuh53X7s7PaZ2qWfY6KpLrecmTePkCKoEgi3CNAx6cGwD+lnNwqy9zy/3CqGuIsv4CdSWQZGhAg9AggUqPpF4Uk3pcTngVJmYjmlsjkMh6aE6NcLwGHTPRckrIREZ4eVn/TTbMRsTOxNCpV5ZThZpdoin6nYj8bd2+c+tnSOrc5iAP1zjgwbkBYXMb7Z7khjWRUWVOuZef66hIruf03cq8NyqBIKtwjQMenBsA/u/3efkDr75DdO1Yr6LsEIS6EkgyNKBBaJBApUeUFyqZ90rScRmG0Za0FAoF26TBbVF7t0Yms2KFtx/zfUUrnZwanTor13gNSaIVP06fPZ/Pu+7bKayNaDKNa24j/ty+E5HPJ1MZhgq17MA1DnhwbkDY/FSuxE1kNLnT8fq5jormlbxcQ+a9UQkEWYVrHPDg3ADwf78v2ynZut+w6ho686JKpRJKZy3UlUCSoQENQoMEKj2SOtLL73HJ9ML2sm6VXaOLU8IjMj2jW4OQzLRHMt+h6DojThU/QayB1tvb6/lv3jnlga7rQo2Cou8RRGUYpnTKDlzjgAfnBoTNT+VK3NzyJOv1kDeC3Mt11DAM7hTYMnml6HujEgiyCtc44MG5AeD/fl922YrOaa/DrmsQfQ8vMyKgrgSSDA1oEBokUOmR1LXG/ByXl4XeedvLJDFuDTa8EVF2I9pkpwG0q5gRafRxqlSSrfhRFEUq4bOG2Rjpdryyf3MvyaedICrDkBRmB65xwINzA9z4nWbRb+VKnFM8uq23aj1O3vVStie0W34g8x2Ifn+43kNW4RoHPDg3AN7gJ9fi5Q+8eiZN07hLVYSR5/mdDlvk84sef9w5LXQXNKBBaJBApUuUF58oLopeGju8NFjZNQK5NUCFWXHW2XPbrbe1bKOTU0WRbIWeXQWfn0Yqv+/v9h6870pRFOG/I3qkZweuccCDcwOcBNGwIlu54nbNj7LCwSnvsDb0+R1Bb/1MvH1pmhZJvqsoCtM0jamqigoeSD1c44AH5wZAMGRG4Eed04ksfeJ3xL+bzpmH4sppobugAQ1CgwQKwuTWCOV3uj3r/kVHZ5n7d1p3y22dDZH5pHnJU09Pj/Bxmu8jur2u69K9rGXDabpMkURIdkormfforATjjbTjrY3ndoxJGh0AYnCNAx6cG+AkqI4UXqY3lH3vsK5HvM5G1uPgXS/NRijzmNwaDZ32Jbr2mR+8v0k+n0eDGqQSrnHAg3MDIDyidS5hdMwVqRtzW/rELu/yeixRf34AxtCABiFCAgVBsl60eRUvIr2NRdfS8tMIxJhY5ZCfXkQi34ddaJrm2MAnexxO3zURsb6+Pun9Bz3qUNd120pGmVGQst8Vr2LM7bxMwugAEINrHPDg3AAnQayn6cTp+ibz3mFej/yMGhMN2dFsYX1e0c+B6zykBa5xwINzAyA8ovlE0B1zZeqs3I4xiMYtt/cIKp8G6IQGNAgNEigIiuhF2zoVj5+KEN5FOZ/Pt/7Naxhye3/rSC7RJKizgqczCZKpZHKaJlH0ODqPwe01Ivt2GuHm9zyJqvLLLaEUOUZM8ZgeuMYBD84NcBJnOS/z3mEfp1uljt/R7bKNY2F9XtHR8bjOQ1rgGgc8ODcAwiObTwRVNyJSN2bW5bgdYxCdhdzeA/kUhAUNaBAaJFAQFNkGDJFpjJyIzOtcLBaZqqqtIex2a1s4zc1cKBSYqqrCn6lSqXBHmsnsx6ys8lIZlcvlpCu0crkc9zvgfU7rdyuzvpj1bxPk9Et+p4bsTOSCGh0QFEwZ6Q2uccCDcyMeSSvLeMcT50hjmfeO43pkd7zW75A3fbJTPiE6RXZYn9dLj3GAJMM1DnhwbgCER3ZEe1Adg2TqQqyNatYIcs1Zt+8hzvw/afciECw0oEFokEBBUGQbMIrFoq+Ewem1stMuBjF6yWuiwjsuPyPQvLxWZorJJCZDQfwNRSvGoh6ZEEVFblYTSVzjgAfnRvSSNv2t2/HEWS6KvneY16Owp2rmTVXt9D5Bf17r2qmiORZAGuAaBzw4NwDCw8ttdF2X6pirqqrU+wY5G08QeDl2b28vKxQKnnLrMKe6zErdB6ABDUKEBAqCInvRzuVyvhaMd7r4yU67GMTopSCiUCi49n53C13XpXp/2x2Dl17knd+p7PplUc37LXLsXt8rrMQriim6ovw8UcI1DnhwbkQvadPfiqx3mfSOBUGU37I5VhCvNQzDcYH7MD+v276cIonnAIAdXOOAB+cGgHdOuSEvr6hUKtz9OdVbueUc1mPx0hla07RQc9zO78pLxynrvoLIy5J2LwLBQwMahAYJFARFtiLCaaSUyDpmpVKpbdpB6/pcog1iZkNdFCPQnEJV1ValkzXJ4H32sKNQKHh+b6cpJK0JTqVS4VaemX9fsxHPbupN3jlofn8yU1LaHZ/I+R5VxWrYU3RlOZHENQ54cG5ELwnTDYoeT5o6Fvi5HvE+J+8aKrpmmZcKJtHzIajrr9tIOZn8AyBpcI0DHpwbAN44NZA51Sd56RhE5DylolP+ZuZHbo1qUeffYc0+JSNp9yIQPDSgQWiQQEGQZHq+OPVS9hqyUzJae5kHeRyyUSgUuD1y0hYiU3P6/ax+1lqzTteUloqxsBu4spxI4hoHPDg3ope0xnqn44nzWKPqoOE0CowX1uuC1+9IJEeL4rqc5WsfAK5xwINzA8Abr52unfIKkXoou3xIJAdz23fU+befvCuonC1p9yIQPDSgQcvU1BTbs2eP4zYvvPCC8P6QQEGQeBc2RVEceyKbz8lW5HRGoVBgxWKRqaoqtH3ncfT29vp6f68herxpCMMwXBMcmfXgkOCEP8VilhNJXOOAB+dG9JI2qsvpeOJqXInqO/Lacch6XfD6HclMmx3muZHlax8ArnHAg3MD0iJpU2l7XSbDKa8Q7VTUSWYpFN6sAn6/T9m/TxJGoCXtXgSChwa0lKrX6+yyyy5jq1evZhdeeCG78MIL2R133MGazabnfRqGwVasWME2bNjAHn74YTY6Osqef/551mg02I9//GN28cUXs+uuu054f0igwC+RBjDRC1tYa5FpmtaaEtDpAu9l2r+gji+O9w0yrN8pL8Ex13jz+17d2Ds8zBuILCeSuMYBD86NeCStMoR3PE7XsTCPP6pGHa+9qK2f1+sacrLvHebaHFm59iXtdwXxwzUOeHBuQBok7Rrtpw7D7pjN67bXug/ZfDHoPMHL38fP3zToNXCRM2UXGtBS6I477mAnn3wye+SRR1qPvfjii+yCCy5gl1xyCZucnPS03xtuuIGVSiXbOOmkk1itVpPaHxIo8EM0kRC9KIW9Fpmu644XyjDfO8vRuTCu03nhd/QZEXqHhyGriSSuccCDcwOcyFSUBFleBjnyzalc99JhSVGUWfvnfR9Oz3mdxjmKBe7TeO1LWiUjJAOuccCDcwPSIO4GItHjcauz4DWeea37sC5H4XTtj+v7cKun8btur8xrs5DjgTw0oKXMfffdx5YvX85uvvnmWc/t2rWLLV++nF1xxRVsZmZGet833HAD+8IXvsBWr17NPv7xj7OTTjqJnXXWWeyf//mf2TPPPCO9PyRQyZfkgp934dQ0LdDF7MOKzmOL8r2zFpVKpe1cDaKhTPTvBsCDaxzw4NwAN535F2+d1yA7dUQ1RY1T/sYbjW93DJVKpTWKXtO0Voca3v5l1soN83vOArfe6/i+uhuuccCDcwPSQKZDURQdSZyWKpF9b9nGODO34n3OzjXd4/w+kjJTEDoXdS80oKXI3r172WmnncaWLVvGXnrpJdtt1q5dy0qlEtu8ebP0/m+44QZ2ww03+DzKP0IClWxJL/jDuHAahtFWwcJriOnp6fE99WHnNEN+9tXtEdU6bp0NdWE0Kie50Rrk4BoHPDg3QFYUlQVB5X0i0yvy3kf0GLysIec3cF1+g0iHs6RUYkE8cI0DHpwbkAYyHYqimP7a6T1k6w5kcyRz+nDe852fM4hjddsu6evIBnl8qBtKFzSgpcjGjRtZqVRiq1at4m5jGAYrlUrsrLPOkl4PDQ1o3SXJFybDMHyveea0b/MiFfa6ZH19faHuHxFMmD3bnSqN+vr6XKfpFDn37PaNRCmdcI0DHpwbICuqnCyIG3WRxj6n9+GNLLNy+j78jDQTjbRfl/38nUU6fSXhXgHig2sc8ODcgDSQuSdPUwcnxoJftqTzc/K+D16HZ5kOUmF8H2EI6pxI+ueE2dCAliKf+tSnWKlUYldeeSV3mwceeKC1btljjz0mtX80oHUXp6HicfaCcOv5KroQqN1n4O1b13XuEHlE94RspVzQvfbDgp5N4cA1DnhwboCsqG+iw2hgEbmWiX5Op8oJXuenIKd3TnMvYr/nkkjvdeQR3Q3XOODBuRGdpFxzwhDFZxN9jzR1cDL3Y3e8XjuO67retn+nabp535P1s4l2kk/y+R3UOZHkAQ1gz881Lk8Qmaeffpp2795NRETz58/nbrdgwYLWvx977DFasmSJ9Htt376dNm3aRC+//DK98MIL9Morr9DixYvplFNOoeOOO05qXzt27KBly5ZJH4Np8+bNnl8Lzvr7+6nRaMx6nDHWerzRaNDg4CAREZXLZeF912o1qlarNDIyQv39/TQ0NCT8+mq1avu4pml0/fXXu+6nVqu1jpmo/TPw9j1v3jyaN2+e7fcB3WNsbExq+7Vr10r9LkZGRhwf9/O74XH6Pfjddxb4uT7t2LGDFi1aFODRAEC3MsvjoK8BdvxeF4aGhtpeb33cDS8Pq1arbe/Ny1H7+/u519Lp6Wnbx/v6+mjPnj2ux2bFew+eJF1rRb9jIvu8g/fdExEVi8XQzksAABCTpGtO0KL6bOVyWWh/S5cutb0mLl26NLBjCRIvnyQi29zNzdjYGNVqtdZ+eTng1NSU7eu3bdvWtj0vV+vMu0T/PnHwkwdbudUNQbaocR9AN3niiSda/543bx53O+tz9Xpd+n3+4z/+g375y1/S+eefT1deeSX9y7/8C33ta1+jHTt20Jo1a2h4eFh6n5BMMgU872bcjpn0NBoNmp6ebiU9tVpN6PW8C0az2RS6iPKOde3atY4XqW3btgkdH4BpdHS07f+1Wo0GBgYon8/TwMAA1Wq1tsfyeft+J/39/b5/NzxOFWkAAJAc5XKZ6vU6NZtNqtfrgVccmNcjXgWK6HWhXC6TYRhULBYpl8tRsVgkwzCEjle0soCXo05MTHArX44++mjb47J2LhQl+5ogrrV2OYQXot8xL+/gVQrquo7GMwCABMjy/V3SPtuWLVtsH7/zzjsDuWYT+a8/E2HmboVCQfq11u+elwMeffTRtq+dM2eO0Hv09/dLH5dXfvMtP3mwFe8zR/ldQISCHQwHTq6//vrW1Iz/9m//xt1ucnKytd0ZZ5wh9R433HADO//889nMzMys55544onWfu+44w6h/WEIf/J1Do3mzV0sM5+v36HIvGn0OoeP8zhNPcMbul4sFrnDyd0iyCmD0h5JW/PNnI40zOO3/pa8Hqf5O7R7zu8Q/ijmbe9WuMYBD86NdErydDF+iVyjorguyFzrrH8PkSmWrdN1i+S2buF0DnS+B28acNHv1GnKJdnzUfQ7dtrOMAxuzmx3HEn87STxmLIC1zjgwbkRjSzf3yXts4lMa+x0fRThdj225kJueYHbNM5e10hzu47y3lc0B4vqGp2kdceSdCwgBmugpcT69etbDVibNm3ibjc9Pd3a7qSTTpJ6j1qt5vhj/cxnPsNKpRL7m7/5G7Z//37X/SGBSh+/61o4XZBFkx7eDXuhUBC6GfaSFBiG4bmCBZHc0DRNam072TXQrI26MuedpmmzzuGwbhYwt3Z4cI0DHpwb6ZPUm9igGgFErlEy1wXZCh1TpVKxfe9KpTJr/9ZrsltnJV3XmWEYvjqz8KLz88i8h+h3KppDiK4DLPJat7xDNH9I4m8niceUJbjGAQ/OjWhk+f4uaZ9N5h7f6zHyrsci9VOd1zW378+pQVCkQ7lbI1pnzuq0ZlrYHVxkjieu8wudfdIFDWgpMTw83GoYu+uuu7jbHThwoLXdaaedJvUer7/+OpuamuI+f/XVV7f2/cgjj7juDwlU+ni94RSpTBC9KMkmENZj66xwcQpVVdsuUl574yCyEZVKRaqHGRG1Kutkzx27RrGwkjlUIoUH1zjgwbmRPkm7oWbMufyWveEWub6JXhdEcj7evty+Z5k8zi54nbD8hPUcMAxDasYC0e9UNP8QPR/9dDhzq2TrzGGS+NtJ4jFlCa5xwINzIxpZvr8T+WxRNjrIdJoxr4+yx+fUyCSbF/jpHCPyWTVNk/q+4zpXee/rd8YA6G5oQEuJm2++udV49eMf/5i73b59+1rbfeYznwn0GK699trWvm+//XbX7ZFApZOXhESkAUG01ywvUeD1PrZWuogmN3bJBq9XNCJdkcvlHM8hp/PIKXmtVCqzfhdee7rzpqqy2zaI5BI9m8KBaxzw4NxIn6RNGcQYP7eSmVrPbV/mNUnmuuBnNJvT9xzG6DEzZKd0tjsHRI/PfK+gv9Ogz0ev0zzJVtbFIYnHlCW4xgEPzo3oZPn+zumzxdEg03k8TsuCeDk+2cYep+uaSEclp+MT7Ygk24jmdK6GcS7zvge3OkUAJ2hAS4n77ruv1Xi1ceNG7nbj4+Ot7S6//HKp93j99dfZQw89xJ555hnb57///e+39n3zzTe77g8JVPdw6zmrqqrrPrxWnLj1pnF7baFQ8NXbGSEfPT09TFVVqekVRaKvr0/ofOSdC7IJr9fKON7+snwjlEW4xgEPzo30SeKIFdlrmd3UeuY1xUujm5/j6qzQcRut7dSJJagoFovczlJOFUbmdM2ix1coFKSv5aI5cNDnYxCVlEH/doLIhZL4e84SXOOAB+cGhC0J5bvT9dHL8XWOvrcuXeIl97PbztoZuFAosN7e3lnvx1jwI+J5n9c6DTjvu/STD8jm0NbvAIAHDWgpsXfvXnbCCSewUqnE1q9fz92uXq+3GrnuvPNO4f3v37+frVq1ipVKJXbCCSewnTt3ztrmn/7pn1r7vvfee133iQSqe4he3J0uhF4rTkTmc85SyEwdlNQIuuHMjEKh4PlcsvbKcqpMckv2nD4zGsWyBdc44MG5kT5JnA7Jz/TAvM+j63rk66mJTvkYxFq01gohXtiNKHc7TsMwfOWZoo1oIhVKsvxUQIm8NsjfTlD7SuLvOUtwjQMenBsQNr8jjIPopOF0jRHJFcx1W932JZI/dTaM6brOFEVhmqa1liwRnWlJVVXhuiavI7pFOwz57fjllKs6daBHngBO0ICWImvWrGGlUoldcskl3G02bdrESqUSW758OXvhhReE93333Xe3GsdKpRL71a9+NWuboaGh1vPPPvus6z6RQHUPv9Pu+KmYMJMG2YtvWqNSqWSiES2MkJ1mqfN7Descd9s3pBOuccCDc8NZUkfbJu24nBrB7B63NlrJTkls996yI5OsYd1eZPrIoKZv7Ovrc93GfE+7z8d7va7rvkbIiawZ0nlMfv5O5uO8Dkud2/k954PaT5AjC5L2e84SXOOAB+cGhM3PdSKozhVOUzjK5AoiI9asdT/5fJ719fW15Qlu75HP51lPT08gOZZoLuV0/fU724BoPuCUV5rHFVS+Ad0DDWgpsnXrVlYqldiKFSvY9PS07Tbr169npVKJff3rX5fa9y233NJqHPvyl7/M9u/f3/b81NQU+8QnPsFKpRK7+OKLhfaJBKq7+Gmokkk2NE2TShrMihmRXsmIdIe1gqpSqUiPdHPqmS+T7BUKBVTYdAFc44AH5wYfRobw2VU48B5z+g69NEaJ9Ia2Tm/TOVrK6bon0ls8iOkb/a5l6zayPIhGPl6HGi+/C6dpmtyOw/w78V4fV8MT1i5LB1zjgAfnBoTNTx4ZRKOJW8OMTK5gXmtl9+V3BieRMOvceLkRL9fgPS47RaTTdyyKd+xO+R7yDXCCBrSUueyyy1ipVGJbt26d9Vyz2WRnnHEGW7FiBRsfH2977vnnn2fnnHMOO+WUU9hNN90067UPPvggK5VK7NJLL2UzMzOznn/ooYdYqVRiJ510EnvyySeFjhUJVHfxU7GQy+WEKz5EK1xEp+VBZC/8VqKZYU3ERZM92dFm6CGdXrjGAQ/ODT70+LQnUyHEWyvDaT8y1z23ChnZ65TI39xvhUqxWAx9xgHz+7Ves0VGvIl8f15+F06jDN2OwZzeyc8xh4H3mcwRgMiVkgHXOODBuQFR8Hr/HEQnDbf6p87jE8lfeI+75QZhLmHSOS145/ctm4OYxyza6Ccy24IbLzlxt9+PgDM0oKXM3r172TnnnMO+9KUvsWaz2fbcT37yE3biiSeyxx9/fNbrbr311tYIs1NPPXXW881mk33+859nX/ziF2c9Nzk5ySqVCjvxxBPZ3XffLXysSKC6j/XiKnNjLjMCTaTCpTMJCrN3DiJ5EdQaayLTYXWGTCUPRmKkG65xwINzgy/LI0z8dIgQbUAJuzeySIVPPp+XGmnttr5HEkafuUU+n5/1Ob02VtpVzrj9LuzOrSjX/o2qQknmO0WuFB9c44AH5wYkWRCduJyuvTIdZMwolUrcvMYtNwizjsvtO5HNQcz12Hjr3XbmlSKzLYjk3LIdn3izP7jtVzQnQefpdEMDWgrt3r2brV27ll188cXsnnvuYQ888ADbsGEDO/PMM9kjjzxi+xrrCLQbb7zRdps9e/awL3/5y+yrX/0qu+eee9ijjz7KNm3axM477zz2+c9/ntXrdanjRALV3WRvgkUvwiJzKHf2/gkiiYiyogKRnAiiVz8vMZKpMEWilTy4xgEPzg2+rI5A89shwm+HoKB6IzutC+HlOmf9fjqnfORVoiQ5FEURnkLc6Tvu5PR35Z1bvN7ZYayTG2UDd2fO47TWTBD7R04lD9c44MG50T3iKkv9vK/saH+79+Fde3t7e23f0y1fyOfz3GscLzcoFAqOn0ckRBqSnL4Pt2mvZXIq0cYvt3oZrx26zKhUKtycw7rvoN8feUh6oAEtxZ588kl2++23s5tvvpndf//9bHJyMpD9PvPMM+yuu+5itVqNbdq0SXjKxk5IoECkgsGc8o6XICiKwhRFYYVCYdYaVU4XoaB6I/utKEGkP5zONZHgVfLwKg87p0zgHRPEC9c44MG5wZfVMs1vw6Do68PujezUYOPlOtcJU2r/Ma80G7o0TeP2QDcMg1uZw3ucl7O69f4O4u/LGJv12WSntu4U5KjVrJY/UcM1DnhwbnSHuMpSpw4lIu/t9HqROiZVVbkNXmajlsj7iYTbemrmiC1rHVmhUGA9PT3C78HrcKPretvnCKsurPN9zO+ss8NVZwOa15zbKUd2mwZcZGYir++PDkHpgQY0CA0SKBCtyHFKVJx6KfOGWAdVQRPF8HhE/CHSY99Pj267Sh6nczSIBA3Ch2sc8ODccJbFGz6/lfyilVFOC6I77cd6LRPpYVupVLiVRH4+J/Ip/nRNpVKJFYvF1vpkqqq6LnTPy4Gtf9/OikWnDmu89xL9jfIq2fw0ogWZByGnCgauccCDc6M7xFWWuuUQbtcq0RzEy5qqMqPLRaNYLLLe3l6hba2fvbMji+znERltJfqduH0HViLv5TRzlVsu6lTn4zaiTlEU1/10vn9njibSeVoUOgTFAw1oEBokUCC6FlXnlItmjxPR13W+NozpaxAIr2F3M+GUTFormsJaLyiLFdhRwzUOeHBudJ8gKpNEymWn0Ugmp57CTovCVyqV0EcoyUzX7aUCy28EtYaqXWiaxgzD4Oao5vN+vnPe6/P5vOv0k7zPrqqq8Dns9Nm88ltJZD3PRX4X4A7XOODBudEd4lrP1i2HsBvRxFiwy3rIXJPjWqu0M78T7RBlN2rc6/dmPR6n7UQ6+HT+jYMeAWaOcnP7btz20/k38HPuuEGHoHigAQ1CgwQKRBuy/PTYCXLEGQIRRthV8rglaX19fY7Jvp/kCD2WgoFrHPDg3Og+buVqUJ0WRCutZNeN8ptHWac/Mhvi7D6rSKOYOWIq7mt3WLmA0zYyFVV255Do6+3+RkHkG07v6YfX34/oeYQKJzm4xgEPzo3ukNQRaNZrjXndCLNjjJ9rcrHIX+PTS5jTNAfxeXVdZ6qq+uqUbs0zRL87mU5Won8DK6fXuZ1b1s5EIu8vk895GaUfVyN2t0MDGoQGCRSI9mK2mzNapseO6ND2sCOO3tKIZEdnTzjZHnC8nuJ+GruiuunJ+ig3XOOyY2pqiu3Zs8dxmxdeeEF4fzg3uhNv6rwgOy2Ilt+i7xlFr2zr+4rMLuDlmMzvOsopIkXXBDFHlpl4FVL5fF4q97WrcBF9vczoNZnzNIwRaH7IdMYDcbjGAQ/Oje6QtDXQrCG6nd/QNM32Htd6/+s2XXYWOwvl83npNdPMukDRa3bn9yzbscbudW5/C7s82+n9ZfK5zjxRBEagxQMNaBAaJFAgehG0G26fpnUyCoVCaIurIqIPkd5Wuq4LTYfgdw5xa8/woBqiouix1A2j3HCNi0e9XmeXXXYZW716NbvwwgvZhRdeyO644w7WbDY979MwDLZixQq2YcMG9vDDD7PR0VH2/PPPs0ajwX784x+ziy++mF133XXC+8O50Z2cFqfnle9BvYdd2ep27Yiy4sb8rG49o81GIS/THjlNTxh0mGthiOSqfX19bX8Dp2MUaWB0+ruL5s68aRn95hthrIHmh9u0jVns3BMFXOOAB+dG94iro6RhGNx7cNmGGD+dn3l5F+/a7pSLZW0ZEtlchki84bNQKIR27jlNHx5UA5fsOeV0rEEcJ8hBAxqEBgkUiFbO2FXcZ7FHDiIdYRiGY+JnVjyJnKPWSiMviZSfRi1echlFj6Vu6BWFa1z07rjjDnbyySezRx55pPXYiy++yC644AJ2ySWXsMnJSU/7veGGG1ipVLKNk046idVqNan94dyIVlJGu8qW8TLle+caseZ6DX4+b9QdlZwaz6y9b50qx5IUXqcQV1WV+1309fVJ7Ut05KHd9+2H02+uUqm0KgHt1lOJUjfkInHANQ54cG5AFNwaD0Q64ZjXAae1SXnBW2vN7zWnm+u/TG7blUol28dlcw2nPMZplJro/UYUHaeTcv/TTdCABqFBAgWMOS9m75ZURD13NaJ7w5w33Ew83KYf7UyknLatVCqeE2K76U1FON1YRNFjqRvm5cY1Llr33XcfW758Obv55ptnPbdr1y62fPlydsUVV7CZmRnpfd9www3sC1/4Alu9ejX7+Mc/zk466SR21llnsX/+539mzzzzjPT+cG5Ex886CEHfdMqOmhKpUHHqDeu01pjIZ5bNrcKcLjuN0xmZjX5BN/jJ7CuXy83q9NPX1+faEGeOoPMiTb2e03SsaYJrHPDg3ICoOOVxIh2E/M4SY3cdCeL+V2QKyCSHl3q73t7e1ud32s6tXlFmGkfe/mVfI9PA5Xb8vPon5CzJgQY0CA0SqO5m11vaz0XBrYIiDb2VEcmNzopMt55ouq6zYrHIVFUVXuvPz7EFPS922D2WuqHXN65x0dm7dy877bTT2LJly9hLL71ku83atWtZqVRimzdvlt7/DTfcwG644QafR/lHODei46WsCatSnXcsXqeDCapCx+u+ogpVVYU6oyQ1vExV5BQyDZVOlWvWkWCdIXsttuYMblNnye4v7F7T6KEdPFzjsgNrwEIW8XKezg6zna8xrxWi12CzE43bFIy8dUdFrk1pGZXvJ/L5vNCofrfvQTS3cco3eX+HoOo2nEY8BpWzQXjQgAahQQLVvdxGv3gdEp3kCiBE+sN67iVx1KOu68IVP3GPAHOroM5ChRaucdHZuHEjK5VKbNWqVdxtDMNgpVKJnXXWWdLroaEBLb28lHVhNfB7yX2ceGlQ4nWS8NuLOcx1OcLuYc3bf6FQ4E4FlJZwarwzzzO752TOSZnc2+/vBNIB17h4YA1YgD9yu4Z5maLPJJp/iXagsTs2u+0URbE9nrhzjbSEOSrfLbdxaiTl3Qu4vUYmh3H6+/M+FyQDGtAgNEiguhcv6TBH7VgvaE7TE9ldiPwsEN/T0xP7hR2Rjgi6R3mQ4afi1ZoUht2I5dRY7vVzJQmucdH51Kc+xUqlErvyyiu52zzwwAOtdcsee+wxqf2jAS29vDSGhdnBIMhyVXZKSDNk19HihbWndpjXtLB7VvPyxqz36Cai1pRBdrm33fZ2nVxkGk9Fzv1uGKGedbjGRQ9rwAL8kZ97SZHX+qlvInqjIYTXGMaY/BSTcecSaQnROkWn79/uXsBp1Jjs+WfdZ2fOhPwo+dCABqFBApU8UY368FrpI3Kx8DPFTy6XY6VSKZGjixDJiqAqIJ1CZC5s3uvcft+8BkC3RqxCoRB6Q1ZWkkNc46Lx1FNPtSpzrr32Wu52Tz/9dGu7733ve1LvYTagbdu2jX3jG99gX/nKV9hnP/tZ9ulPf5pdccUV7De/+Y3U/nBuRMdLJUpayqC4pzTUdb11LHFfk71Gb29vqKPn0hKdvwdejtDb2xto/hPWGjEQL1zjooU1YAHa+cnjeK+1rmsaxjVQdopI62fphg4/QQQvt+k8L5z+xjLbejn/nAQ9kwUEz881Lk8AkBqrV6+m4eHh1v8bjQYNDg4SEVG5XA70vfr7+6nRaPjez8jIiNBjog4++GC65557/BwSdIk9e/aE/h5DQ0NUrValX2f3G6jVaq3fMxHR2NgYEREVCgUaHx+n/v5+Ghoaav3Wee87OjoaWrlg4v2G/fy2IbueeOKJ1r/nzZvH3c76XL1el36f//iP/6C9e/fS+eefT3PmzCEioqeeeoq++tWv0po1a+i0006jSqUivL8dO3bQsmXLpI/DtHnzZs+v7SbWMm1kZGRWWWdnaGiorby0Pp4kvOOMytjYGNVqNSqXy5TP56nZbMZ2LF699NJLcR9CIlSr1bbfhJkjdAr6++p8XyL+PUJ/f3+g7w3O/FyfduzYQYsWLQrwaIBn37599M1vfpMYY3TiiSfOev7tb387HXfccXTffffRvffeS6VSSfo9jjvuOFq5cmUQhwsQCT/3krxtJicnaXBwkAqFgq9jszKvgZ336SIajUYrB5ueng7smLJK13V6/vnnbZ/r/JuXy2W6//772+pGTePj46QoSmuf5r9F+K3L4N3TEFHb+RNmPa6dWq0mdZ8F9tS4DwAAxNRqNdsLBBG/It2PpUuXBrIfu5tpPzfY+/bt83M4AIHQNI0Mw6Byuewp0bL7DfB+x4cddhg1m02q1+ttiY7b+4ZRLph4v2FUnoGd3bt3t/49d+5c7naHHHKI7WtE9fT00Oc///lW4xkR0bvf/W5au3YtERHdcccd9OMf/1h6vxC+crlM9XrdtqzjbW8YBhWLRcrlclQsFltlsh+1Wo0GBgYon8/TwMAA1Wo1X/uzO05d1z3vT1Xlb90uuOACGhgYQOVNDPr6+gLbVxgdVHRdp1wu53hO2r0vr6E6aQ3YAEnwr//6r/Tqq6/SEUccwe1EdMwxxxAR0U033YSyGmITdA7kxM+9pNs2o6Ojno7JTqPRIEVRPHeGGhwcpFqtRkcffXRgx5RVY2NjxBizfS6fz886Hzds2NCWY5sNp9ZO1GNjY1LnQxB1GXb3NLx6mTDra0xm42+j0aDp6elW412Yv+/MCnQsHGQOhvAnh+w8v2G+n0wUCgXh9ZMQiCAjzDXQKpWKr9+K3ZzqvGlJFUXx9BsNcyolrIEGMtavX9+amnHTpk3c7aanp9vW7ZBRq9Ucz7/PfOYzrFQqsb/5m79h+/fvd90fzo3uE1W5FtQU2YjkhzllTxDr93ZOK8RbJ8TL8cm8r6lSqbSm1tQ0rS0vguTDNS46WAMW0iDqe7sw1kBLaui6Hsg1O+0RRC7kZXp3P/sPatrFOKe+TsK090mavtLPNQ4j0ABSwqnnaRijPoLq6To6Ojqrp4PZI9tPL2wANytWrAht31u2bGn920uPa8bYrN4/1lEzVrzH3d43zNFgYY3+gGzSNK3175mZGe521ucOPvhgqfc47bTT6JOf/CT3efP38Morr9B//ud/Su0bukNUvUOTMFI3n8cs/mFTVZWq1Sr98Ic/DGT2hM5r/tVXX+17n2vXrnU9v7dt2zZrJII5K8bk5CQRvTFt1vDwsGNv5ihHNgAkxdNPP90aUT9//nzudgsWLGj9+7HHHvP0Xtu3b6dvfvObdPnll9N5551HZ5xxBl155ZX029/+1tP+oLt4zYG8lu3lcpkqlUrrHkHTNKpUKkL3kuZ9qPX+wippdUyyo6CySiYX4uWpTuejl/pLcyS+XV0Gb+TW6tWrW8+Lnvtxzt4T99IbWRoBh7sngJRwWpMsjClTRNZA6+vro09/+tN0yy23CK83Zc4jbQ5l5q3hAOAXb8rTIFgTjs65rg877DCp9dfOPvtsWrlyJXfKlgMHDtg+br7vmjVrbH9HL7/8MuXz+dDmuTZ/xwBuent7W//mnc9ERFNTU61/O62VZsetwc16DM899xy9//3vl9o/ZF8UN5i1Wo3Gx8cD259XaVwLLW1mZmao0WgEsp5wPp+nlStXUrVabV3PrbmH1/cYHR3lrjdisnb4ISLXqYjs8oLOtWOiXvsDIC5YAxbSwksOxCvb77//ftqyZYvjekudy5OYHTE+/OEPE1H7GlJLly6lLVu20LZt22jOnDl04MABWrx4Ma1atcr2fn/FihWh1gNAO1VV6a//+q/pvvvua3Ws8YuXp5qdeuzOLZH6y06KolB/fz+NjIy0chu39ebNc8t6jrnlNXGu3Rz3urWyOaOIuNaAxQg0gJTgFa5OPXX89PYUKcz37NlDw8PDUo0F1iRs27Ztwq8DSJLOhMOc63rjxo1SvweiN24YnNY7WLx48azHzN/2ypUrad68eVSpVGbN/z02Npb6Xj6QDdbFvF955RXudtbnFi5cKPUe+/fvp4cffpieffZZ2+eta0dZG+ogGEkYXeL3GMLuHWpWNMleIwCazSb3ev7yyy/72vdBBx0kvG21WqVarcatoOJVtMa59gdAnLAGLKSFlxzIqYHBbbSJeW52WrNmzazRKub+GGM0OTnZ6qAyPDxMlUqlbcRZoVCgO++80+3jQoBmZmbonnvuCazxzInZqcd6bi1cuJBqtZqnxqjR0VHb/eXzecfGuB/84Ae2j/N+E7zZe4go9PunuNetjXsEXKACnEoSMghzYCeLzNyxQcxjbX0/3vpMsmHOtVupVGKfhxmB8Bq831FQawc6vZfbb9vpGOKeczppcI2Lxt69e9kJJ5zASqUSW79+PXe7er3eWgPkzjvvFN7//v372apVq1ipVGInnHAC27lz56xt/umf/qm173vvvdd1nzg3xCVhTUTeMditNym7j6A+RxjXB6fQdT3zuVaYa50mPUTWUzHPfafvSSa/d9uWt56G09ofSVoXIwpJ+by4xkUDa8BCWnjJgWTWdLVeH4JcwwxriyHMMNd1tZ4TUefCMmua8X4HlUrFd57QmWsEsU+vkrAGm5Wfaxwa0MAREqj0CrqgCuqiUqlUUrfwKwJhhjXhsKsEUVU1kPdxSm7cftsiNzNZr6AShWtcdNasWcNKpRK75JJLuNts2rSJlUoltnz5cvbCCy8I7/vuu+9uVTyVSiX2q1/9atY2Q0NDreefffZZ133i3BCXhBsjkcYp0Ua0sG4wRSuazEaKfD7ve8H1LDcw9fT0ZKaBUFGUUD6LtcIkn8/bbmOe5yL70zTN8XnZzkW88zOrOUoSOhuYcI2LxvDwcCv3uOuuu7jbHThwoLXdaaedJvUer7/+OpuamuI+f/XVV7f2/cgjj7juD+dG95LNgWQ6BlkbFqLuUBTXdT3uY+i2cLrvCDrHcsqpRMn8DmQHQfjdR5CSdjx+rnGYwhEgwfxMRxT0UFneIq2yhoeHuUP2AZJM1/XW/NirV6+2XQx1ZmZGaD+5XI77myoWi9RsNqler9tOz+r22xaZbgzTJkHUzHN5x44d3N+JeQ4vW7aM3va2twnv2zol3vvf/3768z//87bnDxw40Joy+M/+7M+kp4cEZ0mYmkPkvUTKPXM6XqcyWFRnDjd//nyh1zHGiOiNaftkFly3k+V1Zvft25eZaZoYY/ThD3+Y8vnglidXVbVtGi3eeiLm+iHFYtF1n05rWBqGwf298KYJUhTF9vGs5iiYyrL7RLUGrNNUrJ1rwALwyOZAMlPAWe9PnXK2vr4+4X0mmZnLQXSczqsNGzZwcw4v3vzmN9s+LvObkLlPkskTkpZr8KavTOMauGhAA0goc60Mt/mjzW07G9qCXsvjIx/5iPC2bonP6Oiop2MAiJN1TTEvCxMXCgUyDINGR0ep2WzS9ddfb7udmXjxGtDdftsiiVsq55yGVHvve99LH/jAB2jfvn30xBNPzHp+enqaHnnkEerp6aEzzzyz7bnx8XE699xz6dRTT23NF2/1zne+k4iIjj/+ePra1742q3H6N7/5De3du5cOOugg+tznPhfgpwKi8NcO83MMVlGWe3Y5XJYbs+KSpe90cHCQ28jlBa+jQj6ft63AcModdF0nwzBs12QleqPjj1NFCK/yZHx83Hb7rOYoSehsANHCGrAQlTjWorUr2yuViu221muMU84mu06sdf0zq0KhwH0OssntXuAd73hHYO81MTHhu1FI5j5JJk9IYq4RZAfFOKEBDSChRHsO8Brali5davt6mV4R1kTsvvvuE3pNpVKhBQsWCL8HQNYpikKMMXruuefakgWn3jhODehuC8Fa98sTZcU2gOnSSy+ld73rXXTjjTfS9PR023M/+9nP6KWXXqLLL7981kidX//617Rz5056/fXX6dZbb5213/e///20aNEimpqamtW7cGpqijZu3Ej5fJ4uvvhi+pM/+ZPgP1iXi3txaiLi5jxWUZZ7vByuUCi0ynxrxSpAUNxGsTWbTdq4ceOsCoxyucytbJw3bx6Vy2Vfv3W7ypMkNL5Hqds+LxAdd9xxlMvliIho9+7d3O2szy1ZskR4/5OTk3T++efTZZddRp/97GfpmWeembXNyy+/3Pq3zOh+CE7YjVsyHa+D1lm2b9iwwbZRrVqttj6/SM7mRFGU1n3zunXrbLe5+uqrpUdzQjrw8hy3XMRtBJrMLAD9/f2+G4W8juD0ui1yjQAEOJUkZBDmwI6P04LbVk5rj/hZy8PrPMH5fD6wdaAQiCyEl3WA3NYUMgyjbe2QQqFg+/tO2pzTSYNrXPR2797N1q5dyy6++GJ2zz33sAceeIBt2LCBnXnmmdy1OZ5//nl2zjnnsFNOOYXdeOONttvs2bOHffnLX2Zf/epX2T333MMeffRRtmnTJnbeeeexz3/+86xer0sdJ84NOWGuHSby3iJlcaVSieyYRHM46/fmtr4UAuEWfX19Quuu8PISkfM2yN96t+UoSfq8uMZFB2vAdrcofvdJWIvW1HmN4NUp+VkjzPq5nL5f0bVnEekKRVHa1iDr6+trW/PVPO9EzsPOc0b0/A3q9xvG+yUp10giP9c4NKCBIyRQ8RFNhEQraWSIVkYhEAj3sCYrohVPvN+1oiiOv1FeI1pcFdtJh2tcfJ588kl2++23s5tvvpndf//9bHJyMpD9PvPMM+yuu+5itVqNbdq0iT355JOe9oNzIz1EF+GOsiJJtjKrs1OENfr6+nxfh9A4h7CGqqqBnLc8MnmH07ZZzF+S8plwjYvO1q1bWalUYitWrGDT09O226xfv56VSiX29a9/XWrft9xyS6tx7Mtf/jLbv39/2/NTU1PsE5/4BCuVSuziiy8W2ifOjWDxylVd1wMrC8KoD/JCpg7JT15i/VxO1y3R/BCBcOpkZ3fdDvNaHsS+k5JrJBEa0CA0SKCCJ1qYiVaQe7nZdTsGJBsIhP+wqwiy286uDHD6DZq/X957gjhc44AH50Z6iPYwDqsiyS6nEu1BahgGKxQKttvm83mmKAq3YU00enp6Yr8eIpIXYY1a5+1DVVWpSpywe1B3e+USrnHRuuyyy1ipVGJbt26d9Vyz2WRnnHEGW7FiBRsfH297zjoC/6abbpr12gcffJCVSiV26aWXspmZmVnPP/TQQ6xUKrGTTjpJuEMRzo1gyYyC8loO+e204zSTiUw5KVOH5GcEmrXxkbeNqqqeZ1RCdFd0Np65nffIT9INDWgQGiRQwZItbEUKTy/7tNteUZTWe/hJaBAIxBvhp7HbqQef0w1DLpdrlRuKojBN06QrrboJrnHAg3MjPWRHoNlNl2L+v1AoMF3XhW9aZXpbl0olz68leqOCC9MRIYIKRVFs8wO/FTciv0deZa3IfoLoKITpjXCNi9revXvZOeecw770pS+xZrPZ9txPfvITduKJJ7LHH3981utuvfXW1gizU089ddbzzWaTff7zn2df/OIXZz03OTnJKpUKO/HEE9ndd98tfKw4N4Il06jktXyTnZmE9/5eO36aZHIU3gg0a+MYr4MRAhFU2DWe2W1n5uDFYpHbsQ35STqgAQ1CgwQqWGHdDMrc7IokcdY5hREIhLforKx12tbut8tbS9Dc1u45txsNJF/tcI0DHpwb6SHaEGVOuSJblvvNqXj7kn2teY3AdIyIMCKo/CCo0RZhTkmGUfy4xsUBa8B2J5m8w+8SHCL1QU65h7UM9FJOBjECzfwO7DqEokENEUZYBxL4mYnL3I/XDkhOOX435SdhQwMahAYJVLCSMD91VL2XkeAguj3M0WCyrzOTLacbF95+3ab6QvLVDtc44MG5kS5Oo8qsN7Feboydyk3ZnMq6L4wmQyQpOs9zryPR/Iy2sL5nmJVISbgfixuucfHBGrDdp7M85dWTRHGf5pR7WMtAL+Wkl/teu++AN/Ui6pcQYQevA7PX8DtttRndlJ+EDQ1oEBokUMFyqxAPcq5b3v6iWN/May9vBCJL4XXxYuvINbvnzd+y3W/crUIWyVc7XOOAB+dGNnlptHIqN2XLeJGF7xHdFWHO+uBUEdkZ1nPTzxRCXkdbyIwk9Qsj0HCNAz6/5wbW73EX5zRtfkegaZrmuryIn4YurFuGiDOCzsl4S3V0lpFu9wTWqU1RrvqDBjQITdzJddYSMF6yJLrYvN/3EW3Y8rNgvaZprWPwu/A9ApHmqFQqvitrg168uZsqh0TEfY2D5MK5kU1eOzXwymLZzkLWMhgdjRBhh7m2h8jUn+a6ZE65u2gOYZ16y+k9g6is9QJrjOAaB3x+zg38tsTFVc/ldw00kb+taK5lN+UdOhch0hCFQqHt3HUauSbyu/Iy8g3lqjdoQIPQxJlcZzUBk+lx4LWym9frp1AotB0Dr6BWVZXpus76+vqkC3JFUVAphECQ/xFoXssXp32nvfwMGiqQgAfnRnrIVEJ5yU/cOjnJ7FNV1bZjRE9rRNhhVlC6nWs9PT2u+zLPX7ffmvU36XQ/YX191NMqZq2Tpixc44DHz7mB0Z3BC6Os6uwsYXagcJoOW2ZaXdEOpHbT+MZ9zUQgREahdf4O3ep83GYD4/2+NE2LdcrXLEIDGoQmzuS6mxKwIG8a3RIPu+1FeomKhtdGAwQia+F3DTSv7BZdlrnh6qZKJVQgAQ/OjXRwGtnPK8ecKogKhQLTdV26k5OXvKdQKHjqqIRAeI0wGmw7cwQvv0mn31AW7/uSANc44PFzbmB9wWBF2aHc7b1k/raiOZGXEW8IRJzhNHWp2+ucfke8ulinJTpQrnqDBjQITZzJdTcVFEHdNIokHryEK6hGL0zbiEC8EebvV6bCKu7GqqyO/OVBBRLw4NxIB5ncxWs55nSza214i/uag0C4RbFYDPxc7bxX4f0mzVkweLot/4gbrnHAgxFoySH6fQbR+dHtvWT+tiKNCbIjeLxEPp9vjezRNC2wDuOIbAdvNFhvb6/jb8jpvDfrsJ1+R7zfMcrVYPm5xqkEkFD9/f1Sj6fZ0NCQ1OM81WrVdZvBwUGq1WqzHh8ZGRF+H03TKJfLka7rVCgUKJfLUaFQICKisbEx8QMGyLDt27fTwoUL6dprrxXavlgsUrlcDvmonPHKEJGyBQAgajK5i9dyjJd3Msao0WjQ9PQ0jY6Oeto3QJQajQbt27cv0H12/gZ5v8nR0VHb+w9TuVwmwzCoWCxSLpejYrFIhmHEnhcBgLig6jTgDbzy1Pp4rVajwcHBVj7SaDS49T1+3iuov62maVSv11tle61Wo4GBAWo0GlL7EfHRj36U3vOe91Aul6P3vOc9pOt64O8B2fORj3zE9vGXXnqJVq9eTUR/PG/z+TwNDAy0fm+qat/Eks/nKZ/P08TEhO3zExMTtHLlSiIi2rhxY9tvBOVqggTblgdZgzXQohNEzyGv800zJtfrx1yU3Kq3tzf23iIIRFxhTpfoZx9+yragpl3sppG/jKEHNvDh3PAviulgZXIX0fWb7D5H1NcUVVWFczoEIs4oFAptvyunEW5hjJoAb3CNAx6/5wZ+18HxM4W07OgUkf24/W2dpr02w1qPhGkbEWkLTdMCOW/N6eJ5s3fxflsy5SrKYnuYwhFCE3dyjR/9bE7fiWhFkl1luOyFAHNWIxDBhLlws58ywW6/YUzfkTVxX+MguXBu+BNVJyi/+YfXtSHDngbInO4O02IjshTW+49u6yiZNLjGAQ/OjXDJ1G+JlJNBdX70WyaL5mNe6q5UVUU+hEhMBDHdqJepUaP8PWcZGtAgNEigksWtIBRNXHRdt03cZNZqsq5lgIQGgZAPXdcDSWKCTLy6LdnCNQ54cG74E2VjfGdllEwu4/V4/I44dguz4gsdlBBJiL6+PtvHVVW1fTyfz9s+HsaoCfAG1zjgwbkRHi/3WW4NbkHfB3rtvC7aqGCthxK9BmGdWUTWwszzw5r9BzkWHxrQIDRIoJJFdGi9l4odayOcmdS4NYyZr4n7AoRApCnMof9BcboB8fI+3TTyF9c44MG54U/c08GKjhgTPZ6oR6B15nVY+B4RVxiGwW2U5p2XvMe9jJroppwkSrjGAQ/OjfCEUakdd+dHkWkb/QY6ayOCjr6+Pm5nnyjCbQQab8CDqLjvw5LMzzXOfoU7gIDwFlcEb3iLu27fvr31PVerVZqamuLuI5/P2z5erVaJ6I1FvOv1OjWbTZo3b57j8Zx99tmUy+XEDh4AiIjo+uuvby0KyyNTdvb393Of87KItLUMsC5gCwAgilcuOZVXQeosx44++mjPx1Or1WhwcJAajQZNT09To9EgxljQh9xm6dKlrfeuVquhvx+AHU3T6P7776fh4eFZz/X19dE73vEO29e94x3vIF3XW/8vFApkGAYRUSu34d2PmM8NDAzQ6tWrZ/32vOQ1AABJwKvL4T0uolwuk2EYVCwWSVVV0jSNFEWharUaellpzY/CYF47du3aFcr+oXt9+9vfphtuuCG29zfz/KGhIdvnx8bGZuU+CxcuFK5Xj/s+LLMCbcqDzPHTOht3b5gsCrN3j11vBCxgj0AEH0HMdy+yvRm6rgdWBvHeP629w9HLFnhwbvgTdA7ot5yROZ7O94pj6iDzM8Z9vUIgggqZqVXdAlMQ+YdrHPDg3BDjJS8Jc1o1pzzH7Vi95lhhjzzTNI3lcrnQp81GdGfwpqGWjUKhwHRdZ6qqtu0zn8+zSqXCzX/sZgCTue/wU5+U5vobvzCFI4TGz8mFeVeDF2ZlinVNM1PYSRECkfbo6elhxWLRUwJWqVRsExcvZadb2RBWUpT2jhKoJAAenBv+BXVzFlQ5I3I8snkW8iREt4dZcWT+nzclEq8C1EsFKaYg8g/XOODBueHOa14S5n2T01RwTu/p55hkOlvH1SEJgQgz3H5fTr9NXt2O6O/KrV6dd9+T9vobv9CABqHxc3Jh3tVwiK7DoaqqVMWOruvMMIy2xIa3aDgCgfhjMBZcY7NhGJ7XNHM6hrA6LqS9owQqCYAH50ZyRFnOyJTlmqYJvaZYLLKBgYHYr1UIRBLDvC+UrYgFf3CNAx6cG+785CVhjfyQnTnIbQ2mzrVYZTp98vYV5EhkBCLKkK0Xtf5+ZOvFRX9XomvGio5w65bcCg1oEBqMQEs+twJQNJnCAvUIhLeQ+Z25RbFYdE2avEzlGFbHhbR3lEAlAfDg3EiOIMsZt4ormbJcVdXWPp22Q4URAsEPt0pcu/BS4dzN0xXZwTUOeLr53BAtJ5J4/yPbmVOk84LTyGBzakjRMjuomZT6+vowxTUisjAHGTD2RgOw6Gh5a1kgWy8uen6br+8cBGENmXuQtNTf+IUGNAgN1kBLNqfCVbZnEOaWRiC8haqq3CmLZCOXywklTbybuqh7FKW9o0Q3VxKAM5wbyRFUOcMrWwuFQmtKXZny2q53tqqqrXxK07S2/yMQiNnhNqUQ0RsVWG49qoNcW7Yb4BoHPN16bsiUE0m8//EyBbXTZxF9fWdZXCqV2vKgSqXi633sArMkIaIK63nu5XVOr3XLW8zfldM0kW7HJXMPkpb6G7/QgAah8ZtAobdfuJzmumbMuTdCZwS1iCYCgWgPmd+WbJJmtwi0yHZBSXulVLdWEoA7nBvJEUQ5YxhGYB0d3N4fPaMRCPswp5fnNYbxXtdZqSNbJiSxsjtuuMYBT7eeGzLlRFLvf9zKUrtj9Zqz2I1W4e0LI/ERaQ1FURhj8g3AdnU0furF/U6j6uWYswoNaBCabk2g0oI35F5RFKlFWguFQqCFLwKB4Ic52sHuObOXHmNiCRHvpi7Kjgtp7iiBaxzw4NxIFj/lTNANWvl8vq2s7oR8CoGwD5mKaGt0VtTKNoglcbq1uOEaBzzdem7IlhNJvv9xm47a7Gxt6vwsXstz3kgZBCKtYa53LDrFu9s9QtDcjos3Ak3X9cSWX2Hzc41TCQBSq7+/3/ZxxhiNjo4K7+fqq6+moaEh4e0VRRHeFgDaMcZoy5Yttr+j4eFhqtVqVKvV6Pnnn3fd1/bt26lWq9HAwADl83kaGBggIqJ6vU7NZpPq9TqVy+XAP4NVuVyO9P0AoPv4KWeq1Wqgx9JsNltltZ2RkRHhffX19QV1WACJZ3evIfL77Lzf4f3GOh8386Pp6WnufjtzKN7vGgCyjVevwns8qfc/tVqN8vm84za7du1q+3/nZ9E0zfV9li5d2lZ2rl69msbGxnwdO0DSHDhwgIj45UAn8x5h4cKFkeQVbse1atUq28fXrVuXyPIr8QJtyoPM6dYeSGnhpVc1b/oUc38yI9cQCETwEcS87t3Ui8gPXOOAB+dGdoj2GpUN3mgXmR7YPT09sV9zEIgwolQqCfVuFvl9dr7WaQSaOZJCURTX/fJmA+iGHArXOODp1nMjqdMyyhCtG3IbfVIqlRxfjzXIEN0SfX19wjmFU0S9nIau657WjO0GGIEG0KXK5TJVKhWp1xx00EE0MjJC/f39NDQ01NbboFwu03PPPUfFYjHoQwUAQXv27PG9j6BHXAAApI3b6BM3PT09js9v27bNdvSKzCj9ffv2tV4PkCXbt2+37d1cq9WoUCiQoiit4CkWi2QYxqye0bxZM5YuXUqDg4PUaDSIMea63y1bttg+jxwKoPuUy2UyDIOKxSLlcjlu+ZNkomXX2NgYNRoNmp6epkajQYODg1QoFFojZcbHxx1fH8S9KkAa7NmzxzWnEBFkXmG996hWq1SpVGaVW6Ojo62yK6mjZVMp0KY8yJxu7YGUJn7X2rDrgRD0eiEIBCLa6OZ1PWTgGgc8ODfSTTSPUVWVuz6AW+Tzee4+474GIBBJiM57DJn7C7ce0nY9qkVm0bDmR928NhquccCDcyN8YY0IcRrRa76XWzlpGEagI/f9jtxBILIQonmFW9kQ50jZrIxkwwg0gC4mutaGqtr/3NesWdP6t9mbYeXKlaTrOtbmAEgpt/mwseYHAGSZW09PXdfJMAyanp6mZrPp6T14rzvooIM87Q8gazp/h6I9sCuVimsP6c4e1UQktP6zNT+SXfMIAMCvWq3WGilrHQEWxL0Yr+wqFoutstJtdNnZZ5/teeS+HeZz5A5AFixYsMC17kWkbODlUWGPnA+z3EoTNKABJJxbRbfbTV6hUCDDMGhmZsb2eXOx185CcWxsDMPzAVKKN70RkVgChAY2AEgDXlnF61yUy+WIMdY2tUnQleWTk5OB7g8grTp/h6Kd/nhTKzoRrTyy5ke8XMnuceRFABCEMCvARco0t5zHKYfRdd3bgQF0udHR0Vl1LwsXLmzLKUTKBl4eJZpfeRVXw13iBDoWDjIHQ/jjYQ6P5U0DVKlUWsNn3RarNxe5d9qGMf9TQSIQiGjDHDovO5ye91s3y4osLKItCtc44MG5kXxOZRWvnNN1fVZ56XXaat4UjggE4o0w8wqT6L2GqqqzfutueY7TlGOqqnJfJ7LvLOZFuMYBD86NcIU9dazXKeDcynI/+RICgXAP3nSn1rLBrR4nLFma8trPNQ4NaOAICVT0KpVKoAWxWajx5rsuFAqMMecbTwQCEV309PS4buOn0sYtAYorMYsDrnHAg3MjuZwayMyySnatJdFtrRXxWOsMgXAOM1cxf7Oia+Fomtb2e3fat8mp0dyvLOZFuMYBD86NcCWhPBFdM5JodgW5W0dvBALhLXhrMlvLhrg69CSh3AoK1kADyIharUbDw8OB7tMcpn/11VfbPm8+jvn+AZJh3759js+LrA3ixG3Nj7imBgCA7uBnKjTrFLQ8IyMjVC6XqVKpCO2zWq1ypyVSVZVyuRwVi8XWmmn1ep3K5TItXrxY+LgB0qxSqZCmaa7baZrW9nspl8ttv1kmuBbO1NRU699O0wZZy5KJiQnb7datWyf0nk6QFwFAUGSmjg1LuVym5557jgzDoGKxSIqikKIottt23jeWy2UaGhriLg8CAN4cOHDA9nFr2VAul1u/2858K0xJKLeSIO/nxRs3bgzqOAKzcuXKuA8BwLMw5pA1CzWzUF27dm1rkW1rhdHQ0BANDg4G/v4AECwva4NY8X7rZlnR399vWzmNRnYA8MusTDeZ6wAQkdDNn0ieZJZVomXlyMgIbdy40bZcnJmZaWsIGBgYoJGREZo/fz69/vrrQvsHSCNVVWnx4sU0NDRE5XKZPvzhD7veJ1x//fWzfsde7m2OPvro1r95jVTbtm1rOx7rvc2uXbuov7+/dex+IS8CgKCYZVK1WqWRkZFAyyqvx+JUtlsryM11mpw6MQGAN2bO5VY2lMvlyMuLJJVbcVKYaFcwG6qqcnsqxGV6ejruQ8iUJUuWEBHR448/HvORdId8Pu/rHDZvdnmFWmfFlclaOXTBBRfQnj17Wsdj3jT6KCoAIEC5XI6azaavfZg3QHZlhVs5kSVer3HoQJR9yH/CMTAwYFvxUiwWqV6vu75eJE8yyyrRnMp878MPP7yV/3Q+j05G0G1UVW2NMCgUCnT11VfT/fffbztTRj6fp49+9KM0Pj7ellcQOVfM8ljzDV6ZoWkaTU5OznpctCyRkcW8CPkP8HRj/uN0X5R1vDKW6I9lf7lcptWrVwc+UxIA/FGac4o08XWN8zN3pKIoTFVVpihKIqJzwWHwD3NgR0tkce2+vj7uc25z0PL2r2kay+VyjvtGIBDJCE3TQp/n2m0B6qzweo0zc44kBQQL+U84/C5CLbL2GWNvlGG8tQQ6wzAMx3XQFEUR3hcCkeXI5/OB7cu89ygUCkzXdW6+wftt8tbfCWtB+6zlRch/gKfb8p+41hQKk3XdSU3T2tZv7cTLy6xRqVRiv/4gEFkMa06RtTwjqfxc43xN4UhE9Na3vpU+/elPU29vr99defbss8/STTfd5LtHPkDcRHo4f/vb3+b2ALUbYm/tSbVt2zbbfZo9OO16XgNAskxOTraVE2H0mIxjaoA0YgkZmZu02QAAePxOhcbLk6y9NnmjRaw6p6cbGBjgbssYsx3pAtBtgrzXtpvu0Q5v2iDeNGJhTauIvKgd8h/ICqd1FtP4m+/Mgcz8hTdlNi8vs/rBD34QwpECdDfriHm/U9wnjeio3rSN/vU9heP69evpoosuCvKYPDn99NPpjjvuwBSOAevGIfxxsxYi8+fPJ0VRaHx83HaaNdkp2AAgOwqFQmvNDyvrlKx2ZUTaEpUweb3GqapKb3vb2xLVgQj5T7CQ/4QjiKnQ3Mow0emIrFRVTUyFMEDWVSoV2rBhg699+ClLkAch/wG+bst/eNM9BzFlfhycciCiN9aJtN4/ot4IIB6GYRAROa4rqGmacIejpBDNz+KaHjvWKRzvvfdeP7sIzJVXXokh/CHotiH8aWcO+6UEDEdGIBDxhDnk3+453hQc3TpFgJ8pjK655poQjkje3/7t3yL/CQHyn/CEPUWJ7DSRTtM3IhCI4MM65byf8sDLa7M4XZsXyH+Ap9vyH17didvSGEklMiWj3VS5TnVImMYagQg2dF2Xmho1TTmKaJkaV9nr5xqnkg+KolCxWPSzi8A4Tb0C0A3MFny3IfgAkG3WIf+deIs/86YvAb4/+7M/i/sQiIjove99b9yHACClXC5TvV6nZrNJ9Xo98F6GvCnceI+j/AOI1sjICBG137tMT0+38pdarSa0n3K5TENDQ9Tf308jIyNUrVZdX+s0XZuTWq1GAwMDlM/naWBgQPgYswj5D2SJdQkMkceTTmQaW155p6r21cOrVq3ydUwA3UDXdeFtx8bGuPUydtJ0r2LmeG6Pi26XJL4a0ObNm0dvf/vbgzoWX4rFIqZegcSK4qYrTYUqAPgnk6S5SXKikkToQASQXLKVYSj/APyTuRaZFbxeG7NMvAa4QqHQdq9lvQ/jdTR0Kgf8NvRlCfIfyJpyuUyGYVCxWKRcLkfFYjH0KcTCJNLw12g0WuWXtXybmZlpbWP+1g3DoA9/+MPU19cX2jEDZMHrr78e2r7TdK8i2pFRtsNjEvhqQNu6dWtAh+HfokWL6P/9v/8X92EAzBLVTVeaClUA8EdVVVq3bl1g+0tyopJE6EAEkFyylWEo/wD8q9frVKlUWr87J2YFr2jvY15HRF5D29jYWOteq/M+jMepHPDb0JclyH8gi8IeGR8law7kxCwj165da/v8nDlzWmX14OAg7dmzJ/BjBciSMH8jTjmKmSOpqkoHH3ww5XK5WEfKi3ZkTOPoX18NaAsXLgzqOHxTFIXe/e53x30YALNEddPlVKialUedFUpBjmABgOgsXrx4ViWxH0lOVJIIHYgAsgPlH0Aw7rzzzta/8/m87TZ9fX2tyukFCxbYbmN9nNcRUVVV12nrBwcH6eyzzxY6dqdyII3TDIUF+Q9A8pkNgoZhOG63Zs0aGh0dtX1ucnKSBgcHucsCAEB0eDmKNUdijNHk5CTNzMzEOlJetCNjKkf/BrgWG2RQty0iGwYvi9lbF8SuVCq2C2TbbWf3PoZhcBfZ5i2kjUAgkh12C8k6Lf7MC03TUrUobdBwjQOeuM8N3nUb3PFyG6fvsFQqxV6uIxDdEJVKpfW703Xddhtd11vbeMltREO0fI1rofswxX2Ng+TCuZEtqO9BIJIbPT09rFAocJ93q6txy5HSnKeExc81Dg1o4AgJlH8yN12iCQ6vscyusY23T3NbRVFiv3AgEIj26O3ttX08n89zkygvN0i6rnd1BT2uccAT57nhpQGoG/EaGWUruw3DQC6EQEQU1t+hSCdD3jZBHodIWWO3jzSXych/gAfnhpg0dXQKsyMCAoEIN5zKGLcciTdoo5ulrgHtqaeeYv/5n//puM1jjz3GvvjFL7IdO3ZEdFRgBwmUfzI3XaLJjaZpto/b3QzyenciEIhkhls54Fbe8EawFgqFVoMZr6dTkm/+woBrHPDEeW5kcbRD0JxyK5mR/yIdD4rFIhsYGEAjGwIRUCiKworFIjcXsZZ1YVX8yuY7aaosF4H8B3hwbjgzDINbv5LUcoGX6ziNfEEgEMmLzjIGI9DkpaYBbf/+/ey0005jqqoyVVXZueeey9326aefZqeeeio7+OCD2de+9rUIjxKskEAFQ/Smy28vS1VVZ+0z7kIegUD8MdyG6RORa4VuELxW0KMCyR90IEqPOPMf2amfu5FTGSZTvrndeObzee6ofwQCEU5YcwvRRm4zP+Fto2laZnKXICD/AR7U//C5lUdJrqy2u4fD9I4IRLqis4xx+w0j35ktNQ1oV1xxBVMUhamqyhRFYblcjk1OTjq+5re//S1buHAhq1arER0lWCGBipbfEWhEbzSiWW8O4y7kEQhEexSLRdbX12f7XF9fH2OMcRvZCoVCIGWNlwp6TGHkHToQpQ9GoCUDr9HeqcMRb6SY3TTXbh2XVFWN/ZqBQHRTWNdI6ywHeL9Hax7iNM09/BHyH+BB/Q+fW11N0js6WXMqc2YSRVGYpmlMVdXWY3FfBxAIBD8674nM37X1t4zOQnypaUB75zvfyT73uc8xRVGYoijsT//0T4Ve98wzz7C3v/3tbPv27SEfIXRCAhU+ayIjmrCI9oY2DAND8xGIFIV54xV0Y1VnJTSvrHGqoM9ipX5U1zh0IEofv+eGn9GaWWys9sLpe5Cd1q1UKsVeviMQCPfwOxKet4Zsb29vmMVV6iD/AR7U//C5dbrhrXGfhNk7REab6bruKcdCIBDBhmgdbhDlSVLKqKikogHt8ccfZ+985zsZY4x973vfYxdffDF76qmnhF//v/7X/0LPsRgggQqX03zUdmsYWQs0kbU4zNfHfQFAIBBiYb3xCiqZkZmew+k9sjitXFTXOHQgSh8/50YQDWDddjPD2OzPzBupa34fMmUr1i9DINIRfnMKp33DHyH/AR7U//C5NSx15mp+88Egc0GZRjHUHyEQwYW1YVpkZotKpSJ8n+O3I3M3dtpMRQOaYRjslFNO8fz6xx57TDjhguAggQqXnxEdIkkQph5CINIVYSQrvLKiUChI3ZQFOQItKY0DUVzj0IEonfycG1kcrRk2mQYx60hdsxyJu+xGIBDBhZ+8wGm/8EfIf4AH9T98Tp2f7cosP/lg0BXbMrmS+Xmclg2xbotOSgiEe5gNaYZhOM481tfXN2tKRt62fjsddeM9q59rnEoR2bVrFx1++OGeX/+Wt7yFnnvuuQCPCCB+IyMjUo9bDQ0NuW6jquI/8UKhQLquC28PAMFSFIXK5XLg++WVJ+Pj41Sv16nZbFK9Xnd9b16ZI1IWWdVqNRocHKRGo0HT09PUaDRocHCQarWa1H7SYmRkhI455hgiIjrvvPPom9/8Jh155JHCrz/xxBPp3nvvDevwIAR+ru3dqlqtCm/b399PRETlcpnq9Tpt3Lgx8OPRNC3wfQKAGD95QT6fl3rci1qtRgMDA5TP52lgYCCz+YtfyH8ga8rlMhmGQcVikXK5HBWLRTIMg5577jnb+yg/+SAvL5LJl0y1Wk2qDBwdHSUiomazyd3G+tmPPvpo6WMC6DZjY2M0ODhIRG/8xhRFsd1uz5491Gg0iDFGk5OTNDMzw62nNe+JeNzyFdyzyomsAW16epr279/v+fUvvPACMcYCPCLoVkm66eEVeG4FIVF7AscrfJ2Snk6HHXYYrVu3jorFovBrACA4Yd18+ClnrHg3jbKNfkHeEKYBOhB1n6B+c3GKOleSuVHrbLQPuuwoFot0/fXXB7pPALDn1HlP5LfdWVZ99KMftd3us5/9rNdDnPV+cXYCStJ9rBvkP5BFZucdkQ6IfvLBoCq2zTJrcnJS6nVr1qzhHqemaTQ0NNT67Nu2bZPaN0A3O/vss2n16tVS7Ru8+l6njswi+cqCBQtsX8t7vOsFORTOyc0338yOPPJIz6//yle+wv7kT/4kwCMCEVkbws8bCq/reixTiQU5NN9uSjS7fSMQiGRGWNPUJG1u6yStpRbFNW7dunXs05/+tOfXP/zww2zu3LkBHhGIiHsNtDjFcfyia3Pouj7rtUFP4WgYBnf9D966bAgEoj3MKb1EpvbibeOWF/DKqlKp1Jp6TNO0QPOrOKc7CrJsRv4DPFmr/4mTn99sUGWNzNpnndHb2+v4fKFQwHppCEQEkcvlpJfAEClDeFNJ2t1vZUUq1kB77rnnmKqq7Hvf+570a7dt28be9KY3sVWrVoVwZOAkawmUaAIRdSNaWGsBFQqF2At7BAIhHnaLTwdRPvD2E8daZEmaazuKaxw6EKWT33MjKev8eRH1eoeGYQjnKzJrjLiFpmlt6wtYj4+37kc+n4/9OoFAJD3MskLmt+20n6SUVYzF2wkoyM+L/Ad4slb/Ezev+WBQDeZBrE+G3AeBiDd0XZcuR0TylSR1bI5KKhrQGGPshBNOYAcddBCrVqvCr/nlL3/JDj/8cKaqKvv1r38d4tGBnawlUKK9lNO2aKJT5XjchT0CgRAPa9kjcuPkp5I+jFEmopXlQb+vV1Fc49CBKJ2ylv/ICOpmSrQM45WHfX19QjMEeM11nD6P0+swCg2BcI8gRiW45QW8imGzQVw0N5LJS+LsBBRkRRfyH+Dp5vwnafx2xkJdEAKR3QhiBFqSOjZHJTUNaFu3bmVz585lqqqyP/mTP2FXXXUVe+yxx9jU1FTbduPj4+yWW25hJ5xwAlNVlamqyk4//fQoDxX+S9YSKNFeymlqcXe66atUKugxhECkKBRFad0o8UZAWHt22z0venMVdMIkczxJGZ0T1TUOHYjSJ2v5j4ywpw0SuXGTLdM6y5RSqeS6X6fPw8udkFMhEOGHruusUCi05QjW37iu69IN2U7liEyZF2cnoLSNQGMM+U8adXP+kzV+pm9EIBDxhZkDFQoF7r2H27XfT0fGNM2cIis1DWiMMbZx40amKEqrYUxVVZbP59nhhx/OCoUC6+npaXtOURS2ePFi9uqrr0Z9qMCyl0CJ9sJJU4s7LzFym7MagUCkM8wGft6c1bzyq7OC2euaI7JlUZLL06iucehAlD5Zy39kBHUz5WfqENkypLNyXaQsDXpEGwKBSG50jvC35kOqqtq+hpcPxdUJKG1roDGG/CeNujn/SSOn8ijoNWIRCET4USgUWh2HnLYTqbMRnR2It01SOj0HKVUNaIwx9v3vf5/19PQwRVFc4y/+4i/Ys88+G8dhAstmAmUtBHjz8sddMMgUVEiMEIjuCrNM4D1vl0zJVAh7bfBK4xzaUV7j0IEoXbKY/8gI4oYpqBFobmWIaPlm7cGp6zp3LUisH4tAZC/MciSKfChMQVVmIf8Bnm7Pf9LErVEdI9AQiPSGW4fAsHOUrI5OS10DGmOMbd++nZ1wwgnchrM3velN7PLLL2cHDhyI6xCBdUcClbRWddmCCokRAtFdUSqVuNM7EtknUzLlhNcpFzECzR06EKVHN+Q/YfO7BppTGWItk5zKQ7cIYp0mBAKRnHCb6shvPpQVyH+AB/lPfGTrpdzuvfyOqOeNzkUgEPGHU/kQVUfINEplA5rp6aefZt/97nfZRRddxM4991x26aWXsh/96Eds7969cR8aMCRQcZAtqHiJEdbpQCC6M+wSJN7oMFVVhYb1i7xPGnspxXGNQweidED+EwzRqUOcelmKljVewk/jGwKBSE+Y5QgvH7KuQZuEDpVhQ/4DPMh/omUYhuPIdy8zEVlH7rvlWAgEIn2hKMqsciToWdbSOLuQCD/XOIUxxgiAY8mSJURE9Pjjj8d8JN0jn8/T9PT0rMdzuRw1m03b19RqNapWqzQyMkL9/f00NDRE999/Pw0PD4d9uACQIIVCgZ577jki+mO5sH37dmJvdJiZtX2xWKR6ve64z4GBAWo0GkKvtSuLyuWyj08UrjivcTt37qR///d/p5GREXrttdfo8MMPpyVLltBJJ51EPT09kR8PtEP+Ey1eOWMt09y2BQCwo+s6jY6OEpFcTpNlyH+AB/lPdGq1Gg0ODjpu41Q2yZRnhUKBxsbGvB8sACSG9TcuUo6YrxkaGhKuq8lqvuTnGpcP+mAAwJ8FCxa0bvI6H5exYcMGIiL6wQ9+QJOTk4EcGwAk29VXX01E4onU0NCQ6zYjIyPCj5fL5UQ3mCXJu971Lvrc5z4X92EAJAKvnBkfHxfe1kk+n7fthKQoim3nAgBIBl3Xad26dURErUofu46GTnbt2tX699DQkG1+JJIPQTCQ/wC8ca929tlnu27nlPOIlme1Wi3wxjNeXgUA4bP+xqvVqtBrtm3b1lZeNBqN1v/t6m9k8qW0daL2So3zzV966SXasGED/c3f/A29973vpf7+fvr//r//jy655BJ67LHH4jy0SDQaDfrKV75C559/Pl100UV00UUX0Y9//GPpmwI7O3fupGq1SpVKhb7whS/QBRdcQIZhoCElBXgVObzHzYryRqNB09PTrYKwVqvRhg0baP/+/WQYRpiHDAAx0zSNDMNoJSpuiVTn9k76+/ulHgcAkCVTzngpez772c/aPo7GM4BkGxsbo/vvv7+tYkbXdal9WMuMcrlMhmFQsVikXC5HxWJROB8CALCq1Wo0MDBA+XyeBgYGqFarCb9ucHBQqG7OKecRKc9EOlUWCgWh47b66Ec/Kv0aAPCvUCi0/cZFOxbOmTPH9vGzzz7btuwSzZec6qMzJ6BpJKV94xvfYIceeihTVbUViqK0/f/kk09mf/jDH+I6xFDdcccd7OSTT2aPPPJI67EXX3yRXXDBBeySSy5hk5OTnvf9q1/9ip188sns5z//eeuxV199lV1++eXs3HPPZS+//LLwvjAHdvRk55oVWTMtyPVCEAhE8qJzTmteOWKGzNzVaVzbTFRc17g9e/aw73znO+y0005jxxxzDPvTP/1T9pGPfIR96UtfYo8++mjkxwOzIf+Jlkg5Y87vryiKa5lYKBTa1jLqXAME68QiENFGnL+5LOQrQUP+AzzIf8T4uT/i1d+EUX65rX9m7r9SqcR+nUAgEO7RWY8jWp6oqur4vNeyRqQ+Okn8XOMib0Dbt28fK5VKbQ1mnQvIWp874ogj2OOPPx71YYbqvvvuY8uXL2c333zzrOd27drFli9fzq644go2MzMjve9Go8E+9rGPsWuuuWbWc6+99hr7xCc+wS666CLhBjokUMGyLu7IW6DarQDq3IdTQWi+h0yShkAg0hGqqkqXI2bIJjQiZVcaxXGN6/YORGmB/IcvrPLAab+yHYHQiQiBSFbw7ld6enpCe09N0zKTrwQN+Q/wIP8R46fS2K2jIxExXdd9l19u+U/n/iuVCtM0rVV+9vX1xX7tQCAQ7dFZxvB+57qut91TBV0/ZJIdABK31DSgzczMsE984hNtjWb5fJ69733vY5/4xCdYuVxmpVKJvfWtb21rUNN1nb3wwgtRHmpo9u7dy0477TS2bNky9tJLL9lus3btWlYqldjmzZul9t1sNtlZZ53FSqUSe/LJJ223Wb9+PSuVSuymm24S2icSqODwCrbOSnCn3kxeK4HcehsgEIj0ha7r0uWNGahQekOU1zh0IEoX5D/24hqRKtsRyHrT5tb7GoFAhB/WChyn0aEyUSgUHEelItfhQ/4DPMh/xPipNHbKaYJoODM5la2aprVti85GCEQ6wq58EOnc6PYb99rghRFoIbnmmmtaSdL73vc+duONN7JXXnnFdtsHHniAnXHGGSyXyzFVVdny5cujPNTQbNy4kZVKJbZq1SruNoZhsFKpxM466yzWbDaF9/3zn/+clUolduqpp3Jfd++997JSqcROO+00tnfvXtd9IoEKjkjlj7URza4A9DqSzOxJhEAgshWd05RZmeWIqqpM0zSmKEqmRo8FIaprHDoQpQ/yH3tx3SSJ9NbmHU/c5TQCgSBWKpXaRjZUKhXfFbbWyp6sjpQPC/If4EH+I8ZPPhRFZyS38lVVVaHPg0Agogu3UfmFQsFXOWEYBrdu2Ou9XNqW+0hFA1qz2WRvf/vbWT6fZ1dddZXw6371q1+xd7zjHUxVVfaLX/wixCOMxqc+9SlWKpXYlVdeyd3mgQceYKVSiZVKJfbYY48J7/vCCy9kpVKJrV69mrvNU0891dr3XXfd5bpPJFDBEan8cSu0ZCuQzBBZLwSBQKQ/kpqoJFVU1zh0IEof5D/24pqmg1exUygUXMvCuMtlBKLbg1dZwytPNE1rNYQ5rcuT1N7NaYD8B3iQ/4jxW2nsp9Hfz7IgvPLTaz0TAoHwF9ZOzqIN2WZHE6fO1E7lh90+/TbMpaUTUyoa0P7jP/6DKYrCvve970m/ttFosMMOO4ydffbZIRxZdKyNV9deey13u6effrq1nej39eqrr7Lly5ezUqnE/uEf/oG73Wuvvdba9xVXXOG6XyRQwREpDN0qoLz2DCoWi5jCCIHogoi7MilNyRNj0Vzj0IEonZD/2ItrBJrb9NZO5Q7W8EAg0hWd90O8RrSk5xhJhvwHeJD/iIvjvke08tutQaxzJAtGoCEQ8YTZWSiI32AUDfhp5+cal6eIPPHEE7Ro0SI677zzpF979NFH04UXXkj/5//8nxCOLDpPPPFE69/z5s3jbmd9rl6vC+270WjQzMyM677nzp1LBx98MO3fv7/teJzs2LGDli1bJrStnc2bN3t+bdrUajWqVqs0MjJC/f39NDQ0ROVymYiIhoaGaHBw0PH1/f39js+77aNQKNDo6Kjt64jI9f0BIN1GRkZie+9ardZWxjQajdb/zXIwDH6uTzt27KBFixYFeDSz/frXv6bf//739N3vflcqB/rIRz5Cmzdvpg996EN000030V/91V+FeJQAYnh5iJlnhMUsQ6rVKm3fvp0OOuggmpqaomq1SkNDQ9x8efXq1bRnz55Qjw0AgtV5P7Rhwwb68Ic/zL3HCpPTvR04Q/4DWVculyMvD9auXct93HosCxYssK0XMo2Ojrbdp4nUVQFA8BqNBjUajUD2Va1WhcqkOMquLFCjeqNXX32V/vzP/9zz608++WR67rnnAjyi6O3evbv177lz53K3O+SQQ2xfE8S+rc9PTEzQ9PS00P7BnVl53Gg0aHp6ulV5XKvViOiNQsowDCoWi6Qoiu0+3CqgzH3oum77/NVXX02VSoU0TSMiIk3TqFKptApIwzAon4+s3RwAIjZ//vxI3qdWq9HAwADl83kaGBhoVTDZ4T3eLYLoQPTrX/86hCMDkGfNZXK5HBWLRTIMI5KbMLOCZ2ZmhiYnJ4kx1sq1CoVCK98y1Wo1Gh4eDv24ACBYdvdD5XKZ6vU6NZtNqtfrkTWeOd3bgTPkPwDO7O6n3LbjNYp1Ps4YEzqGwcFBGhgYICIiwzCoUChIfAIASBK7ztSi5QwICHQsnINrr72WrVixwvPrn3zySfamN70puAOKwfr161vTJ27atIm73fT0dGu7k046SWjftVqt9Zr//b//t+O2Z5xxRmvb3bt3O26LIfziZKc18jts1u71IkP6ndYSQCAQ4UQ+n4/kfQqFglD54nfefbv35q21GPbaSH5EcY2rVqvszDPP9Pz6hx9+mM2dOzfAIwIRyH+SyW16E0xHhECkNzRNE5qWNe7yJu7psoOA/Ad4kP9EQ3QqRt52dmHlZU0z870Nw8DyHwhECqMzPwljvbO083ONi2wE2nHHHSc8HaGdkZEROuqoo7jPz8zM0LPPPut5/1EwRwURUWu6RTvW5w4++OBA9935vPV14A9v6jTe4357Utq9XmQEyJYtW6TeBwD8cyuXgzI+Pu7aY9pvj2peOTNnzhzbx92mps26t7zlLfTqq696fv28efMwchjgv7hNU7tmzRrhbTVNo1wuh1wYICHe8pa30JlnnpmYUV+y93bQDvkPAJ/ozB2iM3n09fW1/d/L/Zd1NNro6CgZhoEcCSBFOkfwY4agYEXWgHb88cdTs9mke++919Prv/e979Hf/u3fcp/fuXMnHXnkkV4PLxK9vb2tfx84cIC73dTUVOvfTuuZedm3df9z5syhnp4eof2DO16SEmblcedw3G3bttluZ73Rw00fQPSiakDr7+93TZT8JlK8MoR37Ql7baSkQwcigOC45VRjY2Otina3baempqjZbNL1118f2PEBgLjOxpGxsTHutGPWxvGo8KbFjmq67LRD/gPAJ9pAL1p3M3fu3La6oYmJCU/HZe20UC6XkSMBJJSu61QoFByn1EdHoGBF1oBGRPT3f//39PnPf5727t0r9brvfe979MQTT9AXvvAF7jZjY2M+jy581vmEX3nlFe521ucWLlwotG/rdk77npmZoX379s06HvCPV0kcVuWx3SgS3k2ntRKp20eDAGTZ0NCQa6LkN5HilSGLFy+ObW2kJEMHIoDgiORUZmcAt20ZY7R69epAjgsA5DWbTeFtrY3jIoJY84O3ZjXvcWiH/AeAT7TztWjdzfj4eFvdkLkmmq7rrfuyUqkkfHzmaLT7779f+DUAIE7TNM/5RC6Xo9HRUXruueccZzSLY5BHlkXagPbf//t/pz//8z+nv/qrv6LnnnvOdfvp6Wm6/PLL6fLLL6ef/vSndOihh9pu9/rrr9N1110X9OEG7rjjjqNcLkdERLt37+ZuZ31uyZIlQvs+6qijWqPVnPa9Z8+e1kiI448/XmjfIKZcLvuuPJa52ZMZdrt06dLWv7t9NAhAFlnLG7dEyW8i5dRZwO/UtFnV7R2IAIJi5lpOncDMzgDmtk5TgA0PD9P5558f+HECQPCs9z5O90x+p6o2jY+PSz0OsyH/AbAn2vlatO7moIMOsn183rx5rfsy2bKr0WjQ8PCw1GsAQMzk5CR3AEShUKBisch9bRD1NuBBgGuxOfrud7/LjjzySFYoFJiiKExVVeEQ2d7cJunWrFnDSqUSu+SSS7jbbNq0iZVKJbZ8+XL2wgsvCO/7G9/4BiuVSuzv/u7vuNv89re/ZaVSiZVKJVav1133iUVko8Nb4LFSqdhuz1sYVlEU14UiOxeGzefz3NchEIhkh+xisSLPF4tFlsvlWLFYtF1kVmSbNIjyGjc4OMiOP/549uyzz7pu22w22Ve+8hX21re+lW3dupW73Wuvvcb+7u/+LhX5T9og/0m+QqEgVCby8iUEApGuyOVyjDH3PKZYLNo+31k2uAlqP0mE/Ad4kP9ER/R+yrodL/fh1eWY5SZjyIcQiLSEaL4TZDnTLfxc4yJrQPuXf/mXtoYwRVGEQ3T7NCRQW7duZaVSia1YsYJNT0/bbrN+/XpWKpXY17/+dal9j46OshNOOIEtW7aMvfzyy7bb3Hzzza4NeFZIoOQKHD+FE+8mjVdA8rbXNM32cfNmz+4YeQUzAoFIfnhp4OI9H0SSliZRXOPQgSidkP9Ew0/eJFpeOeVXCAQiPWHey7g1bPEqia0VyUGWMWmE/Ad4kP8kX2fuVKlUXOuAGEM+hECkJXRdb2s013UdDWABSUUD2o9+9KNWQ9ehhx7K3vWudwUWCxYsSFUCddlll7FSqWTbq6rZbLIzzjiDrVixgo2Pj7c99/zzz7NzzjmHnXLKKeymm26y3fd3vvMdViqV2M9//nPb5y+88EJ24oknsu3btwsda7cnUDI3Tn5vspx6BNn1dOS9H6/3kaIo3NdYR6MhEIjkBa984I1QNcsI2YrpLPe2thPFNQ4diNKpG/KfuHskRtWr0msnoVKpxPr6+mIv/xGIbgpFUVhvb6/tc2bO49ZAFmQuE3c5GRbkP8DTDflPlrjlOJ2zEMVdxiMQCG+h67rjrGKFQiEzOUqYUtGAds899zBFUdjJJ5/MHXnlx2WXXZaaBGrv3r3snHPOYV/60pdYs9lse+4nP/kJO/HEE9njjz8+63W33npra/rFU0891XbfBw4cYJdccgn7zGc+w1577bW25x555BHHxjU73Z5AydyA+b1Zc+oRxOsxaXdT57QfVAQhENmIzgTKrmywe51bUhVUr+20iOIahw5E6ZT1/CfukRWGYXB7SxORUEW1TMW2l45CyJkQiGgjn8873suIjkCLu3xLA+Q/wJP1/CdrnGYlqlQqtjMPWR/jTQmJQCCSGW4ziCHXcZaKBrTf/OY3TFEUdsMNN4Sy/4cffjhVCdTu3bvZ2rVr2cUXX8zuuece9sADD7ANGzawM888kz3yyCO2r7GOQLvxxhu5+963bx+rVqvss5/9LNu0aRN76KGH2A9/+EN2xhlnsLvvvlvqOLs9gZKpTPZb8exUCMr0mETPIgQi++FWJnht0McItOChA1E6ZT3/ifO3LpOnOK0HEsT2CAQieeG2lo/I7z+rI8eCgvwHeLKe/2QNrw6KV452zl6CddEQiPSFWydE4PNzjVMpIn19fURE9Na3vjWU/b/1rW8lxlgo+w5DX18fXXXVVfS5z32OJiYm6JlnnqFjjz2WfvCDH9D73/9+29csWLCArrvuOvrJT35CZ555JnffhxxyCH35y1+m//k//ydNTU3RU089Re9617vouuuuo2XLloX1kTKpv79f+HGZbe2Uy2WqVCq2zw0NDQntw9yPqkb20waAGDQaDRoYGKBarWb7/MjIiNTjJl5ZI1MGQTsz//nkJz8ZStl8yimnBL5PyD6vZUQQqtWq8LZnn3025fP5WeUdbx+8x8vlMum6LnegABCLOXPm2D7e399PtVqNqtUqqapKmqaRoihULBbJMAwql8utbcvlMtXrdWo2m1Sv19ueg2gg/wEQV6vVaGBgwDbnccKra+KVo8PDw237Fq2rAoDkmJyc5D4Xxb1c1wq2LQ+yptt7IEW5Bpp1P357TGKBWASie8KujPAzuqSbem1HcY3buXMnUxSF/exnPwtl/0899RRTFCWUfXezrOc/QY9Akyk3/PR2Nvfr1OOad3xxl9UIBEIsVFW1fbxSqdg+nuU8JSzIf4An6/lPEvmpR+K9lleOEv1xulyn1yMQiHSG9V6um+p1RKViCke/9u3bF9r0j8CHBEqu0ElKARVUIsQb+o9AIJITdhXeWP9DDK5xwJP1cyPIMkJ2X346+bitgdT5voZhYH0PBCJlYV3XWWSdZ9mp7pNwrxa3rF/jwDucG9HzW7Z1lmuVSsVxijczrI1oxWKRqaqK+h8EIuXh1jjerXmPKTUNaFdccQV7+eWXPb32iSeewBzXMUACFb2gbuyCaETDwrIIRPKDt86iXVmCiqN2uMYBTzecG0GVB7IVP37yE7c1kKzvi17VCEQ6g1cWhbXedDfmQt1wjQNvcG5Ez2/ZZiWb+3Tmf8idEIh0RqFQaPst8+7PNE1jqqoyTdOYoihdVyeUmgY0VVXZQw895Om1119/PRrQYoAESo7fyiivN3a89w1iKkdd12O/GCAQCH7oui5U7jiVL93asJaGaxxG4McjDedGUnip+LErc0R6PVsb5XjTE5nvi+msEYj0RaVS4ZYTfX19tq9xaqy3vp53T+N16to0S8M1DvlPPNJwbmRNkNNqe819rPeDGIWGQKQr7OpuZKfMR/2PO4UxxigiqqrSVVddRWvWrJF63c6dO2np0qU0OjpK09PTIR0d2FmyZAkRET3++OMxH0ny1Wo1GhwcnPV456LWTgYGBqjRaMx6vFgsUr1el35fIrJ9DgCyza7c4ZUvuq7T2NiY0D6yJqpr3JVXXkkXXXQRHXbYYdKvrdfr9N73vhf5T8SQ/4jzkrvI7MfKzG2q1Sp3W/N98/k8fjcAKSR7D1OpVGjDhg1tj/Huj+zkcjlqNptyB5lyyH/i0Wg06JZbbqGXXnqJcrkcERH91V/9FZ1yyimt/3u1c+dOqtVqNDo6SnPmzKHp6Wn6wAc+QKeffjppmia8H+Q/0QuiHsnkNffh3Q8CQHIoikJ2TTh291wi91Vu+8giX9e4IFvyXFvrFIX19/ez6elp4df827/9G3vrW9/KFEXBCLQYdHsPJJlRGUH0HPLSi9vtfXkLbiMQiOQHr7e0OdyeN8WqXbkj2wupG3pkR3WNwwj8dvV6nV122WVs9erV7MILL2QXXnghu+OOO1iz2fS976effpp97WtfY5///OfZRRddxM4//3x20003sf3790vtp9vzHxlBTYvmNG2QOS2JyNRCQY7CRyAQ0UexWPT0+9V13dPvvxvynU7If6J3xx13sJNPPpk98sgjrcdefPFFdsEFF7BLLrmETU5Oet73r371K3byySezn//8563HXn31VXb55Zezc889V2oZFeQ/8Qh7Wm0EApH+cJt9w0q2HtjLlLFplJopHM1GsG9961uu2+7du5edc845TFXV1mKWWUqg0qKbEyjZCqEg5q4Och0RTGGEQKQ3rFMY8ZIfwzCkyh3ZsqAbrrlRXeMURWFXX3219OuefvppdsQRR2Tqb4EKpGwKcv1WXscB8z14ZRbW8UAgshG5XE660481nPIj3vbdBvlPtO677z62fPlydvPNN896bteuXWz58uXsiiuuYDMzM9L7bjQa7GMf+xi75pprZj332muvsU984hPsoosuEs6vkP+kE6ZfRCCyG2YHIZn6Ytm6n27pTJS6BrS5c+ey3/zmN9zttmzZwt797ne3Gs7MyEoClSbdnEDJNmYFMQJNptHOrWLIfF+3G8hCoYBEC4FIUGiaJrQArFMPbfP3b63U5lVK5/N57nFkXZQVSBiBjwokEONUrsl2VjLLQPOeIu7yHYFAuEc+n+f2shYJmRFsWbm+ykL+E529e/ey0047jS1btoy99NJLttusXbuWlUoltnnzZql9N5tNdtZZZ7FSqcSefPJJ223Wr1/PSqUSu+mmm4T2ifwnfXj1QqqqtjoXYV17BCI9oeu6badEmfpirIFmz881TqWIMcZo//79dOqpp86aY3dqaoq+9KUv0V//9V/Tzp07iTFGuq7TtddeS5deemnUhwpdbmRkROrxoaEhqcftlMtlMgyDisUi5XI5KhaL3Lmvq9Wq476WLl1KRET9/f2O2+3atYt0XSdFUYSPEwDCMzk5SYODg1Sr1YiIX+Y0Gg16+eWXbZ8bGhpqzaffaDRoenq6dc0tFApt5QtvnvypqSn/HwZafve739F3vvMd1+327dtH5557Lq1YsYJ2794dwZFFY9++ffTNb36TGGN04oknznr+7W9/Ox133HF033330b333iu17+npaVq3bh1NTU3RSSedNOv5uXPn0tKlS6nRaNCPfvQjz58BouGUf/FyGt7j5XKZ6vU63XjjjTRv3rygDhEAQtRsNmlmZsbz60dGRoTvvxYvXuz5fUBMt+c///qv/0qvvvoqHXHEEdzr0DHHHENERDfddJPU+lX33nsvjY2N0SGHHEJHHXWU475vv/122rdvn9zBgy+1Wo0GBgYon8/TwMBA694u6H3w6oUWL17cWtMI65sBpENvby+Njo5Ss9mker3eqguu1WpUrVZJVVXSNI0URXGsL+bdG2maJrwPaBd5A9pPf/pTGh0dpfe85z10wgkn0MTEBBER/eY3v6H3ve99dM0119DMzAwxxujMM8+kRqNB55xzDn3xi1+klStXRn240MW8VNKINn45MSt7OgvMTrwKJtPw8DDVajXXG8hms0mjo6O2i1ECQHzMmyGnRnCnm6G1a9faPn7YYYe1lS9HH3207Xa8x8G7Sy+9lH77299yn//Vr35FxxxzDF1//fXE3pglIMKjCxcqkECUU/7Fy2mWLl3KrWAyOxO89NJLoRwvACRLf3//rPuyQqFgu61MR0fwrpvzn7vuuouIiN75zndytznyyCOJ6I28fuvWrdL7XrhwIeVyOcd9v/rqq7RlyxbhfYM/nR0ZG41GWwfJIPfh1vHbreM1ACTHSy+9NOuexloWzMzM0OTkJDHGaGhoiFtfzMtvrr/+epqenqb9+/fTzMyMY50ztIu0AW1mZoY+9rGP0Tve8Q762c9+RoceeiideuqpdMUVV9AHP/hB2r59OzHG6C1veQvddttttHHjRnrzm99MRERvectb6Ic//GGUhwtdzsuIMtHGryC4jSwjeiNZMm8g8/l8aMcCAMFrNBqUz+e5o8ycrF27lkZHR22f67zJCmL0LLjr9hH4qEACUU5lkl1npUqlQsPDw9wKJlQcAWSP032NWYZY78uee+45qY6OQYwcgTd0c/7z9NNPt0bTzZ8/n7vdggULWv9+7LHHhPa9d+/eVk7vtG/rc6L7Bv94uYdoTlKr1ejss88W2odbx2+3jtcAkCyd9zRr1qyx3c6pPOEN8CCitvxm9erVyHcExVajPnfuXPrZz35GH/rQh+jKK69s9TI65ZRT6LrrrqO3ve1tcR0aABFR64aqWq22pg1yauGP2tDQEA0ODjpuY1bA9/f305ve9Cb0vgZImc6pF3mNYp2ctuu8yUp6WZcVP/3pT+nYY4+lwcFBOuGEE+j++++nww47jH7zm9/QypUrW52IiIjOPPNM+s53vkNvfvOb6cUXX6Tx8fGYj94frxVIS5Yscd231wqkj33sY6773rFjBy1btsx1O57Nmzd7fm3WmNOOiJQxbmVSuVxue+3AwIDtfgYHB6lardL27dsD/jQAELdms0lERH19fbRnzx4iItJ1nVasWEHVapVWrlzpWnbwmD29TWYFlrmPpPBzfdqxYwctWrQowKPh6+b854knnmj922kaYetz5pR7bsyRCG77njt3Lh188MG0f//+tuNxgvzHP9nlQKw6yyC3ffDqhczOBP39/dRoNFzfFwCSiTfrEK886bzv2rhxI5XLZdv8xlo2JDXf6RRX/hP5FI5WfX199POf/5zmz59P+XyefvCDH9Cdd95p23g2NjZG7373u2M4SuhmUY4o84I3HYmV2XMBjWcA6XbYYYdRsVj0vR+70R1JL+vSrttH4CepAqnzeCB8XqYxciqTrCNDFi5c6FgpZD0/ACB7FixY0Jryb926dY6jUd2YZQuv4hqjWeV1e/5jXctt7ty53O0OOeQQ29cEsW/r8xMTE1JTZIN3ssuBWLmVNdPT020jRdyWEsGsIgDJo+u6733YlSdO912ieQzyHXuxz+n2zne+kzZt2kRLly517GH0hz/8gZ555pkIjwwgudx6JQFA9jQaDVJVsX4vuq7b9lTSdT0TjWMyo1mSphtH4CepAmn//v2tCiTedI+mRYsWoRd1AJymMer83br9tjvzH9FRuQCQDIqiBLq+lbX3tUhZwytjRO6tkjYNmp/rk8gI76B1Y/4zMTHR+rfTtKPW50Snbhfdt/V5xhhNTExQX1+f4/bIf/xzGxXmRKSs6Rwp0jl6v1qt0v33309btmyhkZGRttG6VrzHASBc69atI6I3frNuI0R5v1O78sQpFxLNY5KW73SKK/+JdQSa6ZhjjqEf//jH9LWvfY1uvPFG222wXgXAH6FHAEB3chtJoWkaGYbRSsg68R5PkyAW5Y5bt43AT2oFEkRDdBojkd828h+AdAuy8YzojXLdLCPcyhpeGVMoFGjt2rWu79XZ0xvrpMnrtvxH07TWv51yeOtz5mj5oPbd+bz1dRAec1SYdcYg0REnIqPUTGZeZFe+WUfkmpXvfX19baPUvv3tb0t8KgDwQlEU0jSNFEVpGyFqzrjhVi4fcsghwuu4OuVComWLTBnUTXyPQFuxYkWgU+Gcc845dN1117U9NjU1Rb/97W8Dew+AtPPaIwA9jACybdWqVW2JVFpHaTmRGc2SZN00Ah8VSN2Nt/ZG582ZyG876T0iASBak5OTrVEYbmUNr4zhrS3SydrTOy3rpCVRN+U/vb29rX8fOHCAu93U1FTr307TUXvZt3X/c+bMoZ6eHqH9QzCsI+XHxsaEygmRte5NZl60Zs0aoe337Nkzq+L9/vvvp+HhYaHXA4A8xhhNTk4SEbWNfDfrag477LDW83bGx8eF13F1yoVEyxZM+2rP9wi0/fv3086dO+mZZ56hZ555hnbu3Ok59u/fTwcOHKD777+/LR599FHXpAAgKaLojejWI4A3LcOnP/1pMgwDFYcAKaBpmusUc52Gh4fb5sPP4rpmfhblTppuGYGPCqTuxrsJ63xc5LeNHpEA2aUoiufXVqtV17LGa55g19PbqcEf3HVL/mMdffTKK69wt7M+t3DhQqF9W7dz2vfMzAzt27dv1vFA+LyWE3ZrmvH+dmZeJNoRwO79s/BbA0iLs88+m5YtW9Y2YtRtkIPM/Y9TLmRXtlQqFduRbRhlP5vvEWhmRT1jjA499FDq6+vzlfzamZqacuydBJAUvN6Ia9asoV27dgU2CsSt5wBvHZgtW7bQhg0baOXKlb7eHwDCt2rVKtqwYQMNDAy4zottlbaRWLJER7OEDSPwxaECqbt1rsvBy4VEftsyvbIBIF38TO84MjLiWtbwyhgnXqZIyjrkP+KOO+44yuVyND097bi2q/U50fVZjjrqKJo3bx69/PLLjvves2dPawT+8ccfL3jkIMJt3VaRcoK3j87RJrx1GpcuXUoDAwNSx91oNKhWq2F0P0AMJicn6Z577rF9jreOvcyIMLdcSGQkG0bZczCfVq9ezVRVZV/72tfY9PS0391x/f3f/z1TVTW0/YO9973vfex973tf3IeRGsVikRGRaxiG4fu9DMNgxWKRqarKNE1jiqKwYrHIDMNguVzO9n1zuZzQcfb19TFN0xgRMUVRhD4TAoEINgqFQuu3LvO6XC7XKh9yuVyrXMgK3vfh5TP6ucYtX76cKYrCVFVlqqoyRVE8h/l6c1/WMB9Ps71797ITTjiBlUoltn79eu529XqdlUolViqV2J133im075mZGXb66aezUqnELr30Uu52f/jDH1r7vvbaa133i/wneqK/bWv5Fnc5jUAgkhHFYtFzGWOGruvCuRPvXkrkOJIA+U901qxZw0qlErvkkku422zatImVSiW2fPly9sILLwjv+xvf+AYrlUrs7/7u77jb/Pa3v23lP/V63XWfyH/EiOQsbuWE7D1N5/1dpVLxVW6a7yNah4VAIMINVVVDq8eR2W/acxwnfq5xvqdwNEegVSoVUlXfu+P6+Mc/Htq+AYIi2nunc9i8n+GxiqLQe97zHrrpppta07TxRmKYjy9dutRxnxMTE7R//35ijNFNN90kfCwAIC6fzzuO2B4dHW31DpQZMbNgwYJZi0gPDg5mZti93dQDvB7iYbKOwO/p6aEjjjiC3vnOd3oK87VHHHFEW8yfPz/SzxSWnp4eeu9730tEzlPMPPfcc0REpKoqfeADHxDat6Io9MEPftB139Y1KD70oQ8J7RuiJfrbtk5PWywWXffb19dHuq63TVWSz/uehAMAEkSkd7ZZxvByqnXr1glPfS06NW0WIf+RY55HO3bs4K7VatYhLFu2jN72trcJ7/tTn/oU5XI52rVrF01MTDju+9hjjxW6ZoIYkekZ3cqJtWvXSu27c3p+v1Mvmu/jVjcEANE46KCDQlmGwxxRJlo/1M2j7B35bb375je/yRRFYTMzM3535ejpp59miqKE+h4wG3ogyRHtvWOOBGPM22gKp9cYhsEKhYLj8yLHWCgUmK7rLJfLMV3XWV9fX+w9MhCIrEWxWOT+Xs3nDcOQ+v3pus7dF7Tzc43DCHw5W7duZaVSia1YsYL7fa1fv56VSiX29a9/XWrfo6Oj7IQTTmDLli1jL7/8su02N998s2sPcCvkP+nAy2l0XXfMo5zKXSJqjcJHIBBikc/nI32/QqHQNgpDtrd2ED280zzaH/lPtC677DJWKpXY1q1bZz3XbDbZGWecwVasWMHGx8fbnnv++efZOeecw0455RR200032e77O9/5DiuVSuznP/+57fMXXnghO/HEE9n27duFjhX5jxi3GX9MvHLCqU6ms66IV844jcQ3txV5H4xAQyCSESJtHjK5h7kt7/149UMYgWbPdwMaZBsSKDmijVPWgsdL4cR7TW9vr+3j1ookJEgIRHpCdApVVVWFp3CFP/JzjfvKV77CVFVlL730UrAH1eHRRx9FBRIqkGIRduVwUPt36zhkx6nSySwr3RrZEAhEfOF1CrSwpK0xDflPtPbu3cvOOecc9qUvfYk1m822537yk5+wE088kT3++OOzXnfrrbe2pl889dRTbfd94MABdskll7DPfOYz7LXXXmt77pFHHnHMjewg/xHjt4JZpFKbN0WjW71O5zHwttM0zfHeEYFARBtu5YdMziNSN82rH0pKbhUGNKBBaJBAybPeQIlU6Hip7JZNcqwFMRIkBCI9IToKwm+jfLfyc43DCHx5qEBKj7BvnILev0i5Z83P3MpWrP+KQMQfTr9Dc71X3m85ypwnjRVNyH+it3v3brZ27Vp28cUXs3vuuYc98MADbMOGDezMM89kjzzyiO1rrB2IbrzxRu6+9+3bx6rVKvvsZz/LNm3axB566CH2wx/+kJ1xxhns7rvvljrObs9/RPn93TvVybiNHJPtQOBWkS4yKt8wDN9rriEQCOdQFMWxE45MPY/IwAmnXCltHYNEoQENQoMEyj+3gifIEWi8sDbGYQQaApGeUFVVaDu/08J2K1zjoocKpHQIuyE+6P27dUYSnSEAgUCkI3jTVZthNrBFUfmTxo5L3X6Ni9OTTz7Jbr/9dnbzzTez+++/n01OTga272eeeYbdeeedrFarsV/+8pds79690vvAuSHOTxnDKzd0XXd83lrGyUxh69ThoKenx7XMReMZAhFt2P2WZQZfiAyc6Mb6ITSgQWiQQIUvyDXQeNHZAzvuiwECgXAP84ZIZNvOShrrDZ2u621rhXRjosSDa1x8UIGUbGFPBcvbv9nzUra8cqvARuchBCJb4TZigtfAFkYOlMaps7v9Ggd8ODei4VYHJDNrkGi5JtoxE4FAxB8yo8rs6oKcZtvo5jqh2BrQHnroIT8vD1zSjicLkEBFw0vvJfM1ItMMde7PrdcmAoGIPwqFgnCDN2/e6ygrkNII1zjg6fZzI4wRFTJTKMqWV0FWRCEQiOSFpmlt90luv2leA1sYo8IwAg2yBOdGdJw6PMrU14iWNTK5FwKBiD/M+xi3ul/rvZJb/VHntlmcptFJbA1ob37zm/28PHBJO54sQAKVfG69qiuVyqzXYBQaApGOMOfAt1YE9fb2uo4oc/uNJ7lSJ0per3FJ67CTtOPJgm7Pf4KeCtZP3iFaXjndBGIEGgKR7ugczcX7TZtr9UQ5KiyNU2cj/wGebs9/otLZeBZk+ciD9V0RiPRFX1+f7eOKojBN02atm+aWH1nLILvtkpy7BCG2BjRFUdizzz7rZxeB2blzJ1NVNe7DyBwkUMnntgCtHaeKLAztRyCSFV6SGJF588H7NS5pHXaSdjxZgPwn2F6JTjdz5v55+UcQ5RU6DiEQ6Q676YnstnOrQAqrA1HaenEj/wEe5D/hE81JCoWCUOOaaLmGzkQIRLajUqkIdyBK4+j5IPi5xqnk07Zt2/zuIhD1ej3uQwCIRX9/v+3juq7T2rVrSVEUUhSFDj/8cCoUCqSqKg0ODnL3t3jxYioWi2EdLgD8F1UVuwRXq1Xpfbtdm3nlBoh59dVX6bnnnov7MIiI6JlnnqG9e/fGfRiQQeVymer1OjWbTarX61Qulz3va2RkxPbxZrPZ2v/ixYtttwmivCqXy2QYBmma5ntfABC9oaGhtv+bv+lisUi5XI6KxSIZhtEqpzq35+0nKEGWl0mG/Aeyolar0cDAAOXzeRoYGKBarRbZe4ve242Pj9O8efNctxMt1/yWf5VKBfVEAAk2PDxMCxYssH2u836Kd2/GexyIfDegbd26NYDD8O+3v/1t3IcA4Eo0UZNJ6HiJ0NjYGI2Ojrb+v2fPHhobGyPGmOMxDg0NhXZzCQB/NDMzI7Td9u3biUi8XFi9erXQ7xz8QQciAHG8RjDr42FWeNdqNapWqzQ5Oel7XwAQLWvDmJVTo5VbAxt4h/wH0q5Wq9Hg4CA1Gg2anp6mRqNBg4ODkTWiiVZQ9/f3O24rW66Z5WJfX5/rtn19fa1OR5qmUaVSoQ0bNlC9XifGGBmGIfSeABAtXj1Q5/2UyL0ZtMv73cGVV15JDz30EPX29gZxPJ689NJLdPfdd8f2/gAizETNZCZqRNSW9IhuZzIfq1arNDIyQv39/TQxMdHWeCaqUqm09tPT00P79u2btU2pVKLx8XHavn07twFAVVXhxgEAcDYzM0OrV6+m4eHh1mNO5cIPfvAD7r4KhQJdffXVqEAKwNatW+mEE06I+zDQgQhSYWhoyHb0u/Vmzi6fGRoaaj1uNoJZn3Pbfs2aNTQ2Nhb2xwOAkOi67jlnKZfLyHdCgPwH0o43AqxarUZSZvT391Oj0XDdbmhoiKrVqu22xWLRcyPynj17pLaZnJyk4eFh+vCHP4wyFSDhdu3aRYZhcO+PTCL3ZtBOYW7d1B2oqkqKogR5PJ4xxkhRFJqeno77UDJlyZIlRET0+OOPx3wkyWNXkeOUUAwMDAglP6LbOcnn89K/hUKhINTopmkaXX/99Y7TQAJAsDRNsx05YVcuOF2XfVzyM8nrNU5VVZo7dy4tX748ER2I9u/fj/wnYMh/giebN3W+VjTvqFQq9JOf/MRTRyIASJZKpUJbtmzxVG4AH/If4OmG/IdXV5LL5ajZbIb+/iI5ja7rNDo6yt3W64haXl2TCOt9p5/9AEB4ZOqNa7UarV27tnXPpOs6rVu3LtN5lq9rnJ/F1xRFSVSoqurn44ANLCJrz23hajuiizmKbuekUChILziZz+eFt8UCtAhEMkJV1VmL1muaZrutpmmey7ys8nqNM3OOJATyn3Ag/0kW5B0IRHJD5h5CNDRNY6VSyfY53v2WYRizciKwh/wHeLoh/+HlFMViMbJjMMsrXhlorfsJsmzj1TWJhPWY/OwHgUCEFzLlg5d67bTzc43zNYXjL3/5Sz8vB0gtL8P+eUP1O+eYFd3OCfMwykS0t5WmaVhYEiBivBFoMzMzrfLCOq2jnVWrVoV2fN3ISzkLAN4g7wBIJkVRQhmxMTk5Sffcc4/tc3b3W7JT4Ftf53VkbLdC/gNpl4Spy8wpZnkjuax1P07T0cqWYaLTR/Jeu3r1arr22msx8hMggQqFAhG9MUJUpEyIezrbtPE1hSNkXzcM4ffCy7B/0eH3QQzT9zKFoyhzKhUM2QcITrFYbN202f3+K5VK2xpoMjRNo1WrVtGGDRt8HaOdtFc8eb3GbdmyJYzD8WXp0qVxH0KmIP9JFkwVBABWnfdFXqbAD3pqtDRB/gM83ZL/JOUexk85JFO/ZH7WBQsWeJ7iemBgwPO6awAQPkVRbDu58KZmdKo3zuVyqazfcRPbFI6Qfd0whN8Lr8P+RYff+x2mH+RUR+a0LOZUKsVikSmKEvvQZAQiK9H5+zZ//4qiME3TWtM0ViqVtnJB5HcY5lQkWRjyj2sc8GTx3Eja9GZOx9P5XKVSib2sRiAQyQprmeFlCvwkTOMWlyxe4yAY3XhuxJ0feX1/kTKMd78WdKB+CIEIJ2SmS+Ut5WGGYRht5Y3b9tbXZYWfaxwa0MBRNyZQIpJacWytePdbUGuaNqsyK+6LBwKRtejt7bUtN0TKGJGGcpm1E2VloeIJ1zjgydq5kbS8xel4eM91diIwDAMVNghExsLsOCSyra7rrpVATjlJEOtOp1XWrnEQnG47N5KWH8kQKcOwhiwCkY0QyY1E8yfZSFP9jhs/1ziVAEBauVwmwzCoWCxSLpejYrHoebqPWq1GAwMDlM/naWBggGq1mqdjMofwNxqNtmG7qqpSX1+f9P6uv/76ts/Dmx8XALx76aWXaHBwcNbv3mk+apPIPP0yayfK4q1JhLWKAJJHpEyJktPx8J7bsmUL1et1ajabVK/XqVwu09FHH+36Xr29vb6OleiNKU4AIHyrVq2ixYsXC207NjZGjUaDpqenbdeJJXLOlXg5Upi5EwAkS9LyI1G1Wo2bm1jLMNyXAWTDzMyM4/OVSkU4f+qkKIrj8yhH3oAGNACPyuXyrIocWdZGr+np6daC16tXr5ZuVOMleYsXL6bdu3e3GvwURSFN00hV1VbDn7UxsK+vj/L5PA0ODtLBBx9Mq1evJiIUmgBh6vz9ijROWRvyeUlPmItho+IJID2S1uDtdDwyxypSxr3yyiutslJVVdI0jRRFIV3XqaenR+h4eevbAkCwhoeHfa1ppWmacOdGXvkRZu4EAMkSdX4UROdpsw5JpOMA7ssAusOWLVs85y/MZt00K5Qj/yXQsXCQOd02hD9qMkPq3aYRCGIaEt4aI+a0SaLHikAg5KLzd8r7vVmnKzKnMDOnblVVlWmaxhRFiWT+/jRPeWLCNQ54snZuJG3KVafjkT1Wswzkla92r8O01AhEckPXdWYYhvDaHNaQnX4x7rWP4pK1axwEp9vOjSjzIz/3TiLrFlmX4AhyaQ8EAhFeeMl17MLMfwzDYIVCIdBjyFJuhDXQIDTdlkBFTWZBSLckLojkzy0Zi/vigkBkNXRdb/st+v29RZXkpL3iCdc44MnauZG0Bm8va6A5HathGKyvr8/2daVSaVY5hU5BCESygzG5+yQzsrROR5iydo2D4HTbuRFlfuS1vkb0vtBagR53GY5AIMSit7eXO5BBJjrLEZn7Hd77FwqF1NXvuEEDGoSm2xKoqMlU4Lj1qAwi+XMrkBVFaS3uXSwWWW9vb+wXHAQi6SHyOykUCm2/Zbvfm0xPIuv+OsuJNDd4BQ3XOODJ4rmRtN+/0/HIHCsqihCI7AVjcvdJZvDKiqSVf3HL4jUOgtGN50ZU5YPXGYNEy0KzAh2dhBCI9IW1zqinp0f69U75j932nbMW2ZWDWcyd0IAGoenGBCpKMpU+Ij0qOws4c+pF0QJPZoi/ruuOz2O6AARCPBRFcSwTDMOQ7oktWt5kIRHyCtc44MG5kR6oKEIgshVmJyBe3mJO8ShascPrWY38B9c4mA3nRni8jkATvQc0yzQvo3cRCESyQmZUGq/ztMlLQ1hW647QgAahQQIVPrtGL7eCSqQA9FLgodELgYgvnIbZO60LxItOSVsDKQlwjQMenBvpgYoiBCJb4XU0qh2nzorIf3CNg9lwboTHa4U07x5O0zSWy+WYruusUCi0ykm3js4IBCL5oes6U1VVaFvZ9V9FZLXuyM81TiUAiFW5XKZ6vU7NZpPq9Tpt2LCBDMOgYrFIuVyOisUiGYZB5XKZiIhqtRoNDg5So9Gg6elpajQaNDg4SLVarW2/1WrV9v14jxMRHX300cF9MACQUq1WaWRkxPa5kZERGhoaktpfZ5ngtG8AgLTq7+8PZD+qqpJhGIHsCwC8sd7zEM2+T7I+J8Lpvgf5DwBEqVwuO9bz8PDuAa+//nrauHEjjY2N0ejoaKtuaGxsLIzDB4AIjY2N0Tve8Q6hbaenp2lgYGBW/Y8fqDuaDQ1oAAnkdLMo2jDmpcCTraAHgOBs376dWxHc399ve9NVqVS4++ssE5z2DQAQt1qtRgMDA5TP56VuAoPKXRYvXkzlcpk0TQtkfwAgp1gsSjeQuXG670H+AwB2vOYjIrx0CnBqeOPVDRUKBeF7RgBIJsaY8La8gRVeoe5oNjSgAaSMaMPYggULbLeze9xMEleuXEm6rlOhUGglW4qi+D9oAHA1MzNDS5cutX1u+/btNDAwQEQ0a8SqqtpfyjvLBF4lMxrOASBuoqPr7V5XrVZJVVXSNI0URfHcAGaWhZOTk55eDwD+2OUjfiuynSp6kP8AQCev+UjYeA1vvLqh8fFx21mOdF1vbVMoFNr+DwDJsmvXLtsO1MVikfsas1Hdb/6UtLqjMDs2CAt2NknIGsyBnTyic9Hy5r7Wdb1tO7e5uGXXXUIgEN7DXN+jWCxy1yTsnCdfZn5q61oinfPlp31BWC9wjQMenBvR8jLPPi9/EVnPtVQq2a6r5LReEgKBCCeCXM9ZdB+VSkW+oMoQXOOAp9vPjbSt+8M73kKhIPR65D0IRHLDWu50rgnLWx8tl8sFkj/ZvWdc9UVBfR7G/F3jImtA27x5MzvvvPPYt771LfZ//+//jeptwaduT6CSSLTwyOVyjgWqWRBqmuZYWCOpQiCiC+sCsKI3cF4SiiCTkDTDNQ54cG7Is7vJEr3xcspZeHhlpFMDmqZpjuUcOg0hENGHoii25UNQFdlJqQBKElzjgKfbzw0v+UicnOpqrGVdZzlYqVRmdaqM+1qAQCDaw0sHv2KxmLqOAG6C/DypaECbN28eU1W1FX19fWzFihXsm9/8JvvNb37DZmZmojoUkNDtCVRSidwI8gqZfD4vVfhWKhXu8zL7QiCyEObvLqybDGsSIHIDZx2tpmkaU1VVqHIoa0mVV1Fc4yqVChsfHw/1PSB4yH/kyNzYyeQsTmUSr4x0CuuoE7tcitebE4FARBPW8iFtFdlpgvwHeLKe/7jVo6TxHok385Bsh2jkQAhEssLLrGCGYcSWP4XVYSnIz5OKBrRPf/rTTFGUtrA2qM2bN4+dfPLJ7Otf/zp79NFH2fT0dFSHBg6ynkBlGUaOIRDBhqZprd9XWKMUrEmG2w2cn1FkqJR6QxTXuI9//OOst7dX6O9y5513si1btoR6PCAG+Y8cmTKRN72s3bbWHtKdN2K89+SNrLeWkbz3Q8cgBCLesJYPUVdkd9NINeQ/wJPl/Efk3imNs3S43deJ5mgiU2AjEIjowsx3nDoN2i3JEUdHgDDLzq4bgdZsNtm//du/sS9+8Yvs+OOPZ/l83rFB7c1vfjM76aST2FVXXcUeeugh1mw2ozpUsMhyAtUNDMNwrUhCIBBiUSqVWr+roPddKBRmVRTzRn8GkRilsXdlGKK4xjWbTfaxj32MqarKvvjFLzqOuP/617/O3vzmN7NFixax22+/PdTjAmfIf+TIjAbjNdTbTS/kVAbyyuJSqeT4/k5TmyAQiHijc5S93TZODeteyVb8pL2xDfkP8GQ5/5GZHj9Jv2+/o+a8jNgXDXQ8QnRrRNHgrKoqY4w/ytSMzjIhjo4AYdYvdd0aaJ1effVV9vOf/5z9z//5P9lHPvIRdvDBBzs2qB166KFs+fLl7F/+5V/YxMREXIfddbKcQHUL0YQJDW0IhHu4JS9Bh1MlkZ9RZGnsXRmGqK5xo6Ojrbzmv/23/+bYKejFF19ky5YtY6qqsnPPPRcdiGKC/EeO3xFoMvt0WlDbadppM9DDGoFIbhQKhbZyQLZhPegyTGbEbJpyKOQ/wJPl/CeNM3AEMWoOnYYQiHSGOQOS2/Ihuq7blh1RdgQIu3wN6vOksgGt0/79+9mWLVvYP/zDP7Bly5axQw89lNugdsghh7C///u/Z5OTk3EfduZlOYHqFqIJk2EYWDwWgUhYOFU0++3lk7TelXGI6ho3MzPDDj74YPa3f/u3TFEU9olPfMKxYui1115jRx99NFNVlZ1zzjmhHx/MhvxHjt810Ox4uRFDJRECkf5wKiPC6uEsU95kYRQ/8h/gyXL+k8bfbhCj5rC0BwKRzlAUhTEmNigibmkpXzPRgNap2Wyyhx56iP3lX/4lUxSF5XK5WY1pf/qnf8p27NgR96FmWpYTqG7hljBpmua4HggCgYgvnKY64zV4d2NDmFdRXePuu+8+pqoq2717N7vsssuYoihscHDQ8TW33XZbK9/56U9/GvoxQjvkP/LsKm/8NNR7uRELc5oiBAIRTXj5jfvt4SxT3qRxFEsn5D/Ak+X8J42jR4Mqb+xG82L6RQQi2WHW1Yp0EIxbWsrXTDagmZrNJjvrrLPYX/zFX7B///d/Z+effz47/PDDWw1pb3/729njjz8e92FmVpYTqG5iGAZ36jkM7UcgwomgpgkT7UWo67rvBKXbRqVFcY3bt28f6+/vZ6qqsgMHDjDGGPvKV77CFEVhlUqF+7r9+/ezXC7HVFVlf/3Xfx3qMcJsyH/C51beeLkRc8plNE1jqqrGfm1AIBDu4XWtH9lyxkt5k5Ze1k6Q/wBP1vOftN3r+C3zeMsBOE15rSgK0zSNKYrCdF1nhUKhVf/qVG5jimwEIpwQmaI+CdJQvma6AY2xNxrRPvjBD7Lvfve7jDHGJicn2XXXXdcqyN/xjnewP/zhDzEfZTZlPYFKuqALIKf9odc2AuE9orhhcGvs9ltxk5ZeQ0GK4hr3xS9+kSmKwubOndv2+Jo1a5iiKOzKK6/kvra3t5cpisL6+vpCPUaYDflPuETLG2veUigUmK7rjjmR02h60R6cCAQiWSGz1o+XcsauvAmqsS2pkP8AD/KfZAmizOsMkcp46/tgpiIEIt4wcxLeqFFzDbQ0NGDFLfMNaIwx9tOf/pQtWbKk7bHXX3+dnXfeeUxRFPb/t3fv8VHU9+L/33vBDUSEpNaCu4KtcIwmWhW1XmrVniBivfxQT9XE4lE5RdcrtpWatlKrzVFErVrRHiu2auLlKL0cPeKxVbBaRa1UmtBYLF4AQZGEcBHJ7fP7g++sm83M7MzszM7M7uv5eHwehJ3Zmc/uzs7nvZ/rySef7FPOShsBlH8K+XHm5MZpVKlETyISKX8qpAHa6ndMayALwvRFpaIYZdzuu++uIpGIGjNmzJBtF198sYpGo+q+++4bsm3r1q2ZKYzGjh3raR4xFPGPt5z0qNbb36gCKXuKW210bktLi6qurva9vCCRSPaSnbV+CrnP2Dl22CupiH9ghPinOOzcQwq95xWSEomE72UAiVTuSavnMfs9VAqde4ohNA1oy5cvVxdddJH6xje+oX7wgx+oFStWWH7u+vXr1YgRI3S33XzzzSoajaolS5a4lVX8PwRQ/nFame30xmn0PBrQSKRgJC1w8qqhqxTW9LCrGGXcyJEjVTQaVePHj9fd/q1vfUsNGzZsyDofzzzzTKYCSRuBj+Ih/vGW3ftNofe9YvWeZopIEsn9FIlEinKfKafKJ+IfGCH+8Z5X9xpmFCKRSjNl/94xalA3WrJHG52W754U5k5BdoSiAe3FF19UFRUVKhqNDkpHHHGE+sUvfqE2bdpk+vylS5eqqqoqw+3/9m//ps477zyXcw0CKHc4uSE5rcwupJJJL5/5ejKlUqlMj4fa2loa3Egkj5L2HXbyo8vKPYgRaN447rjjVCQSUaNHj9bd3t/fr04//XRVWVmp/vznP2ce//73v593iiN4h/jHW3bvN1ZjIqPRZ8WaurGurs73soJEClJKpVKZ+MOocsdKclKZY/c+U05xEPEPjBD/eM+rew3TVJNIpZmsxEBmzzdTTp2HlApJA9rRRx+tKioq1B577JFZgFLrWRSNRlVFRYU67bTT1Pz581VHR4fq6+vLPPe1115TBxxwgDriiCMMj79kyRL1pS99qRgvpawQQBUu3zBbo0ptp4GVk4Y3s3yY9drWKqZyj5O98KzfhQ2JVCpJ77tmddqPfMezs18pKUYZ99vf/jYT76xatUp3n56eHnXSSSepUaNGqaVLlyqldsZNV1xxhad5gzHiH2/Zvd8YxURVVVWWKufdiEeM1h3ITkx1RCINTul02pVGbCcVy3bvM+U0Ep/4B0aIf7zn1b0maGuVZdf7+p0XEilsKRqN2hoNZnYsM+XUeUipkDSg7brrruof//iHUkqpDRs2qPvvv199/etfV9FodEhjWjQaVfF4XI0dO1bttttumcfuvPNOw+Nv3LhRJRKJYr2cskEAVTijG1J2D+nspN0gnVZme7GuSL7RZSwuSyJ5lwodRm/nnlBOw/eVKl4Zp63XetFFFxnus2PHDnXiiSeq0aNHq9dee02NGzfOsMIJ3iP+8Z4bHQGsJjcathKJREEjaEikckxufWecVizbuc+UUyUS8Q+MlGr8E6TfOF7ea/Q6NNuNgaLRqGsdgpihiERyluzeD4zql1OplOnzyqnzkFIhaUD74he/qJYvXz7k8XfeeUfNmTNHTZgwYVAPhdx04oknqoGBgczzfv/736tTTz1V/eQnP1GffvqpWr9+vaquri7WyykbpRpAFZPduaitzG9rxq1e3Xo3bLN9mTKARHI/ZU/b6PRHX7kFRXYUs4y79dZb1e67767eeOMNw3127NihzjjjDFVdXa1Gjx6tFi9eXJS8YSjin+Ax+mFoJZmtTVZdXe1aJT9roJFI3qRiNGKV00h84h8YKcX4J2jfba/zU2inI+23pt/3fRKpnJPd9V+LNQAj7ELRgPbjH/9YnXTSSYOmZsz1xhtvqBtuuEGdcsop6oADDlD77befmjJlivqv//ov1d/fP2jf6urqzMi06dOnq6eeekqddNJJXr+MslOKAVSx2W1YcqNS205lu53KdaPeQ5FIhEVrSSSHqba2VqXTad1tZqM7rf7IKregyI5il3G9vb159xkYGFCXXHKJikQi6l//9V+HxD8oDuKf4CkkzrByn62urva9PCCRyjFZaXguVkV3kEapeIn4B0ZKMf4J4m8hL+81hXZsjkajQ/LICHwSqbjJbIa97O9mKpVSyWRSRSKRQdPN5y63Y3YsvfMT/wxVtAa03t5edcopp6jDDz9cvfTSSwUfTxsKHI1GVWVlpTr00EPVc88950JOka0UA6hiM7ohGQUhxQ7krAaUZr2Q4vE4636QyiJZWQPHTrKyrlmhP/rKLSiyI8hl3IIFC9Tw4cPVGWecobq7u/3OTtkJ8rVRrgqpEMqeHjv3PksvaxIp2CmVShGzuCzIZRzxj7+CfG04VYqzcZg1wBXasdmo4l7vnH6XDyRSUFJlZaWrx9MasvW+h1aPYTV2KpfOQ0qFpAFNqZ29iu699171hS98QR177LFq/vz5auPGjY6O9eqrr6p99tlHRSIRNXr0aPXLX/7S5dxCqdIMoPxgp8Km2Dcrq/lgikYSyb3pubIrg/IFLG786CunoMiOoJdx7e3t6qtf/arae++9/c5K2Qn6tVGoMN4TrP5gzB5JpvW+NHu9xDckUjiSnftUGO9xxRT0Mo74xz9BvzacCOIItELkq78pNK6xM3Wc3+UCiRSkVFVVZWt/s+npk8mk7nfOzvc7rPc4L4WmAU2zefNmdffdd6ujjz5a/ed//mdBx9qwYQPD+z1UigFUkFj9cef2j8Dc46XT6bzHt9uTKZFIeD7Uv7q6uqA1UUgku8nJSMtUKmX4/bLSgF1qP/qCJCxlHCPsiy8s14YTQenA44ST+CXf62UKahIpf6qqqsp8//zKAyPv3ROWMo74p/jCcm3YUWr3hHy/DQsdGZZIJIa8N7lTXcfjcZVOp6mLIZGykp3vQ3Zn6nz7ZLPzuyXMo2y9EroGNIRHKQZQYeN2wOf24pJGKRqNWrq5FzIlnpZno3VNSCS3k9E6gGbJLHAxCrKyK4lK7UdfkFDGwUgpXxvl1ihvFr/U1tZS+UMiWUzaOht+5iF7Jg+7o0pL9R7nRCmXcShMqV4bpTQq1crsJC0tLQXHN1onJbPfv8RQJNJnKRaLWepslEqlBn2nrdQJaRiBVphCyrioAAi05uZmW487Pd7s2bOlrq5OotGoVFRUSCwWk7q6OmltbRURkaamJt3nRaP6t5Fhw4ZJTU2NYT5SqZS0tLTIt7/9bZuv4DPNzc0Sj8dlyZIlkk6nHR8HsGqXXXaRaDQqiURCIpGIVFdXSzweN33OwMCARCIRqaiokEsuuSTzeGtrq6xZs0b3OR0dHZm/GxoapKWlRWprayUWi0ltba20tLRIQ0ODOy8KQFnJvr9YeTxsWltbpa6uTuLxuNTV1cnf//53w33b29sN78MABluzZo2sXbvW1zy0t7dLY2OjNDY2Snt7u/T392ce036zlPo9DoB9DQ0N0tbWJn19fdLW1hbq31FGdSy5jxca38yfP1/a29tFKWW4DzEU8Jn+/n5pbm6WpqYmaWlpMdwv9ztlFFvpxS1G9bJ67OyL/GhAAwKukB+BuZVIra2ths9bs2ZNJkDasWOHDAwMDPpBalSJbxRQ9fT0mN6w16xZI7Nnz877Gsxk/3CeP3++pFKpgo4H5KN9N3bs2CFKKens7JS+vj7T52jfkR07dsj8+fMzjWhmjeC5P4BK6UcfAH9ZrXhxk1484tV5civWBwYG8j4vmUxKbW2tRCIRT/IFwHtaXOXHPQ4AiuXYY4/VfTy77sVpZ2sAhdHqUEXE8HfFunXrMoMXhg0bZlinqhe35NbLZnfojkQiEolEhnS4tvs7rFi/20LHrWFwKE2lOoQ/TJxOQ2I07ZuTqVfMzmVlDm4n60ZpqbKy0vK+dhftJJG8SIlEQsViMcPpLhKJhFLKfP7qdDrt3k0EhijjYKSUr41iTwtrFo+4fU6n6zNpU674XX6QSKWa7E7Zrq0fa+c52vRlTH2dXymXcSgM10awGd3fcn87sr4rieRvqq2tLXjd2Hxxi5V4x25MVOoxFFM4AiXMaBRX7uO5vQSMRndt377ddh7a29uH9D7QzrdixQrT/DU0NOQdoWNm27Ztlvft6uqSlpYWw2klAT3V1dW6j2s9ebTpGq3q6+uTvr4+w55EO3bsEBGRMWPGGB5j/vz59PQB4IliTwtr1At67dq1g6Zdc4PRKHutN6aRmpoaemsDHrL7W2DdunXS1tZm+r3NpfXUzr7HZU+73dzcTGwFINSMYpUlS5YM+r/RiNva2lpb91UAznR0dBQ0hWI0Gs3728zKcj92lwRyewmhUkItM1CAYgxttVLRpTdlkdF81J2dnY7ykb3GwCWXXJI5X3YjQTQa1c2fWUOBF8aOHVvU8yHcOjs7JZ1OZ75j2lSgWmWPNl2jVdoPlkQiobtdezxfoxxBCgCvFHNa2HxTTrt5rzOqMNp///2lra3NcD2CpqYm1kcCAkT7Ljtd66OhoUGampoGTbudu1YaAISN1eU9zDphG22Lx+OZ+hwr68sbdUIFsPP79NJLL0kymcw8lkqlLHfM3m+//fLuY+V+YHdJINaRNeHiSDiUIIbwGwvS0NZChwbbTUZTMtbW1qqWlhZVW1urYrFY5v+pVKpoeYvH4yoajfo+ZJsUrpQ9TalbQ+3T6bTudm2KjXxTa2hTEcE7lHEwwrXhnnz3VDv3Or0YI3e72X3Z7BjFjqVIJJJxyvedzXcvMPtO55sGvxxQxsEI10aw2bmvmd0nrdxDjX7LiuyM3ZgmkkSyn6wuqWOlXtnK/cBuLFTqsVMhZRwNaDBFAGUsSDcWO8GLkzXQrCajNZ+KfQwSyW7KrsAt9MdAOp3O/CCprq7OrPuRSCQGzU+fr7K2VIKUIKOMgxGuDffkW1vM6r3OasclK5VCTvKpl5LJpKqtraXjDolUQMqOm+x8Z/MxiufooEQZB2NcG8FWzE7cZr9V3VjfiUQqx2R1cEE8Hh+ytqGT+wFroA3GGmiAD4I0tNVoyqJkMjlk6se5c+daPq42lZ1Vu+yyi6399USjUdvnBazS1jXL1d/fn5mG1ej7ZNX8+fMz06l2dnZKX1+fRKNRmTBhghx99NGZ/fJNS1TInNkAEBTaVNRGZbvVe53VOfmdTk+Zu26SUXmRbe7cudLW1mZpmhUAgyWTSWlpaZG77rrL9nfWyjT6RvFcoXEeAPilmOvYmtVrmU0FCcDY2rVrLU2R2tfXJ/Pnz5dLLrnEcB+j+4GIZGKk5ubmQcuV5LtnFHut7FBxuTEPJYYeSMaCNALNSa8CK1Oh2O2N7UYPbG20DonkRbIywtFsugo3kt70GZFIRCUSCRWNRl3tfQ1zlHEwwrXhDaejw5Qq3mgSq7FPMpnMmzcSiWScnP5msjMa1cp+5YgyDka4NspTS0vLoJmKUqmU4UgZLf7JfU51dbWqqqryvWwhkYKeIpGISiaTKpVKqVgsZrhEjsjOWYzsfpf1jkPssxNTOMIzpR5AFVKRE7QbUyGvxc5xjRogIpGI6TB+rYHAaSHD9EgkN5PZtWhlmtPa2lrH06EyNWNwlHoZB+e4NoLHaselQuMhq1MSZTfceTk9NolUysnN76jdNYDKGWUcjATl2uC7Wzx2O0076WhNIpH0U0tLS96OeHYEaaBHENGABs8EJYDyghsNYOUQ2OW+RqNKIu31e1WwaOf3u4AjkbRKU6fXO2tvBEcpl3EoDNdG8Hgxz78eq6PJsntg+10ukUhBTlbW+wjiaNRSRhkHI0G4NoLWUbnUmdWxaGu95tZ3Wa2XSSaTQ0apMeMQifRZyreeoN0RaMRI5lgDDXDA6loaZuyss2Flrn63FXrO1tZWaWxszKzn1N7eLmvXrtXdt6mpSRoaGizN5+tETU2N6Tzc2lolkUjEk/MDmng8bjiftJXrn7U3AMA+K3PyO4ntsmOlVCplOY6IRCLS2toqF1xwgb0XApSJRCIh6XRabrrpprz72vn9xdpmQGlzo54G1pnVsaxfv163vsvsOdk++OCDQfVH2vrgAHbq6OiQY4891nD7xIkTpaKiQiKRiFRUVJiuiSZCjOQplxvzUGKC0APJK8VsmfejF5Ub5zTqCZFKpUxH3lmd9tFOyp1jm1ReKZ1OF623mpWe0tlJ7/o3Owa9J4OjlMs4FIZrI5zsxnaMHiORvE/Zay0b7WPn9xejUwpHGQcjQbg2GEFRXGb3ZqNp36yOQCtkCQ8SqRySUb1RNBpVdXV1utvS6bTh95kYyRwj0AAHitky70cvKrNzWh2ZZtSzaN26daYj73JH5u2555628x+PxyUSiUgikZBoNCrNzc2yfft228dBaViyZIkopTw9RzKZlJaWFks9pbNddtllg/7f0NAgo0aNMjyH2UhVAIBzdmM7K3EYI9uBwlj5ntn5/WVlNKpX/JhRBCg3jKAorqamJsvbtHvgihUrLB27p6enoLwBpc6ojmu//faTlStX6m677777DI/nZ4xU8lxtykPJCUIPJK8Us2Xej15URueMRqOWX7dbC1DaHdEj/69Xhd3nkEiFJu17oPWUNvq+5Car3z96TgZLKZdxKAzXRjjZje2srHfmxih6Eqmck5VYKgxrUJdSr27KOBgJwrVRSt81M37dy4zykj3bTyqV0p1lxe/yhEQqlZRMJlVLS4tpvZHZ84N0/wiTQso4GtBgKggBlJeKddPJNyzei/MandNoGL1eo5hbwauVCqrcwsTqtAAkkpsp93tg9Tq0+v3Tjk/AEwylXsbBOa6N8LJzf7Vyj6+traVTD4lUQMo3BXcqlbL1/dY7RiQS8TyecqtjYRBQxsFIUK6NUv+tFMZGQupnSCTjlBvrxONxVVlZafocs+mta2trDetujeKqIN8/goIGNHgmKAFU2FnpreP2zc7sB6be49rImNxgNZ1OFxy82g22zHpikEheptwRYlauw3g8bvn7p60DYrQNxUUZByNcG+XBSnyWSqVYg5VE8jDZGZ1v5TdFMpn0pNK9lGYXoIyDEa6N4ghSg7zVxkq36mfyNSqQSH6l6upqR8/Tvjd62/I1kpk9z6gDn1E+i33/CGNHBxrQMMiHH35our2zs1P19vZaOhYBlHvyLZ7txc1O74bm9OZdaD6sFj7RaFQpZRxU5uvFmp1isZhKJpNMv1TmyU6Q7mQEmtEirkYBRZB+MJU7yjgY4dooH9n36mQy6fjHs534hEQifZaM4h+9OMpJBa5bFTqlFL9RxsEI10ZxBKVB3k79j1sj0KwukUAiFTuZNVrle55ZjJDv+27WEJVOpzMj0RKJhEqn04G4f4S1UzgNaCG0adMmdc8996iLL75YXXHFFeriiy9Wt912m/roo48KOu6GDRvU5MmT1TXXXKOeeeYZtWrVKrV+/Xq1atUqtWTJEjVv3jx18cUXq+7ubkvHI4Byn983O6c9I+wcX+/mn/u40bpo2VPc6W13UqDRc7w8UyKRMB3xpZdyC3yz600LYOzy+x6Az1DGwQjXRvlyUkFUVVXF2iCksk7ajBVOnqtX2WL0fXLSUO1WA1dYK4v0UMbBCNdGcQSlQd5OPohzSKWQotHooAapaDQ6pNFKr07T7JhKmdfxuP19D8L9Iwh5cIIGtJBZvXq1Ovvss9Xtt9+uduzYoZRSqq+vTz344INq2rRpqr293fGx161bp+rr6w3T1VdfrTZu3Gj5eARQ7gvCjcaokavQin2jgqWqqirzt7YgrZUfofka4yKRCKPLSIZJu860ayXf/nprcHjxfTU6prb2XywWy0wZFqbh8GFEGQcjXBvly+kURVQskco1ZccoRh3kqqurM/GYUYVVNjfX2nGzg1IYpyvSQxkHI1wbxRGUBnm79T/5ZlUikYKenJbdRp3yk8mkUso4/onH44adsp1+34Nw/whrp3Aa0EKku7tbTZ8+Xc2YMUP19/cP2X711VerM888U33wwQeOjr9u3To1bdo09ZOf/ERNmzZNnXDCCeqb3/ymuuaaa9QLL7ygBgYGbB2PAMp9bt/s3PwhV2hjgZ1gKrtxo5C8FxrE0QBXusnuaEW9wt6LwMBpJWtYK2mCjDIORrg2ypfTKaTNYpF4PD6oxyuJVCpJqzjS5KtgssLtxuig94b2A2UcjHBtFE8QGuSd1v8UUv/CFI6kIKRUKpX3u5c7zbvecbTn5pv1Shup79b33e/7RxAGhjhBA1qI3Hzzzaq+vl499thjutv/+Mc/qvr6evW9733P0fHXrVunGhsbC8niIARQ3nDrZudFY1whx7PTa9uNGyu9vUlmyW5Fpd416VVgYHVKUzfPiaEo42CEayO4WlpaBv1I1Ua2u3l8vXuwWYWP9iNcb1skEsnc77NH5JNIpZByR+97NZuFUdJGsmmj9/X2oQPSUJRxMMK1UTqs1DkZdTjVW6bASmOCleRkSQ4SyeuU28BldJ0aNbzlqwvVm+3I70awQgRhFJwTNKCFxNq1a9WUKVNUfX296ujo0N1nw4YNmekW33zzTdvnoAGtvHhRuV/ITdxOTyQ3hvYyfQDJzWRnDQ63AwMrjc9BHw4fRpRxMMK1EUxmleuF3JdzYx+9XqJmMQdTGpHKNeXGJsWczULvuGGujComyjgY4dooDVZ/w1q9ZxsdL18n0OzOR/F4XNXX11teXoFECmIyimesxC9OvqNBFsaYq5AyLioomkWLFkl/f79EIhEZN26c7j677767jBw5UkREnnrqqWJmDyHU0dFh63ErGhoapK2tTfr6+qStrU0aGhosP/fYY4+1vG9NTY2T7A1SyOtEuKVSqbz7JBIJW8fTu9YbGhqkpaVFamtrJRaLSW1trbS0tNj6XuRqbW2Vuro6icfjUldXJ62trZa+D258ZwAgzJqbmx1tM9Pa2iqNjY3S3t4u/f390t7eLvPnz5empqZBsVBTU5Pu89PptIiIbNq0ydH5gTDLjU2MvidGj+eyG9vnHreQ3zEAUCqMYqLcx63WJxkdb9SoUVJbW2uYj4GBgczffX198oc//EHa29tFKWX4HD2RSGTQb/Lq6mqJxWK2jgG4weg7YyXOueSSSzL1QBdccIHuPlZ/z+jVKRVbucVccb8zUE5ef/11EdlZyAwfPtxwv7Fjx8qWLVvkjTfeEKWURCIR2+favHmzLFy4UNasWSMff/yxfPjhh7LHHnvI1772NTn55JNtVSyvXLlSJk+ebDsPmmeffdbxc2GupqZG2tvbdR8vttbWVpk/f77l/a3+kDZj9PpRuhKJhCxYsEAaGhqkoqJCduzYYbjvhRdeaPmavOmmmwb9v7W1VZqbm6Wjo0NqamqkqanJlYBAq6jVtLe3S2Njo6TT6bzXshvfmVJUSPm0cuVKmThxoou5AeAls8p1p51qzCqZtPt+a2urXH311YO2p1KpTNmRfV/P3r527VrblUSAF5LJpKxdu9b14+o1YL300kty3333yY4dOySRSMiFF15oOYYyiu1ra2ulqanJk9gMAEqN1YYxq/VJZsd74IEHdOMgNyml5Oqrr5a5c+fKSy+9ZKveCXBT7ncju94olUrJBx98MKjhOFv2ddvf36+7j5XfM0Z1SiJCXOQhRqAVyfbt2+Xtt98WEZHRo0eb7qtt37Rpk7z//vu2z7V582a58cYbpb6+Xn74wx/Kz372M1mwYIEkk0m555575NJLL5UNGzbYPi6Cp9Benm4yqoBKJpOSTCYz/0+lUgWP4NHYeZ1OGqL9Eo/HB71n+ExfX1/m2rnwwgt196murpaWlha56667Mj3VjCQSiSHXo95ohMbGRld69Rh9T5YsWTKoV10qlZJkMunaqDcAKAVmHYScdh7KV8mklQm5jQ9r1qwREZHZs2cbHnuXXXZxlCfAbaeddppUV1cbbo9EIpJIJCQSiWTiDrP4SWRnjJ8bm2gd6rQOTjt27JD58+dbjqHMftuUW09nAHDKKCZyOmrY7Hi5M7bY6axvx9q1a6WxsZHGM2T4UceX/d3IrTdas2aNYeOZVVZ+z1gdYQqXuTiVJEysWbMms7bZZZddZrrvDTfckNn3L3/5i63zrFu3TtXX16t33313yLa+vj51/vnnq/r6enXJJZeo/v7+vMdjDuzgC8q8s4UuGu5U9rzaRqm2tjZ0a5Ok02kVj8d9zUMQ5ybPnXM6nU6rRCKhREQlEgndBY+VsjfHtBdrC2qM3tNCvidBuQeEEWUcjHBt2GN2H3LzHuXFGmj57vlm8YPf5TSJVGhKpVKG3x2z75uIdzFUIfcMYiJrKONghGujNNj57WvlvmnneFbW9s5XLmm/70kku8lK/WBuqqqqMnw8lUoZfjeMYp5kMuk4/1biFr/qXktBIWUcDWhF0t7enmkUmzVrlum+N954Y2bf5557ztZ5Pv74Y3XeeecZbn/44Yczx168eHHe4xFAwSovGh2sBHNWGsZaWlryFqSRSMRRYUsqbrISUBhdN1Yb27wKSMwqopx+T0ph8Vk/UcbBCNeGdWb3IS/uUS0tLYN+mJo1ABSaf6UKrwgyS8lkMvPDPJVK+V7Gksov5Ys/tJgq93nV1dW2Kk6LUalDTGQdZRyMcG2UDrc7FFg9XqHxTEtLi6exF4mkl1KplKqurtbdlk6nda99s5jHagf+RCJh+zvqZYfvUkcDWgi8/fbbmYarK664wnTf5ubmzL4vvfSS7XNt3rzZcNuyZcsyx77hhhvyHosACla5/aPV6vGs9o6lF5N7ySiwcCMZ9daJx+O6DV65gXw6ndZ9vtHjxRyBZhZEeTVyAuYo42CEa8M6s/tQWO5RZpVCXo1gN+sF7nc5TyqfpDVs5RtFavT83P2M4u1ifOf9vN+EbeQbZRyMcG2gUGajb+rq6gaN3q+srNQd4UMsRIpEIoMaY4M264NZzK5dy1aPYxcdhpwrpIyLC2Tu3Lny7LPPenb8Z599VqqqqjL/7+3tNd2/p6cn83f286waOXKk4bbs461evdr2sQEj2joEbi3ubTavb/YxGxoa5Oqrr9ZdGF1bu6Guri6zFkOh4vG49PX1uXKssEgkEtLX15f5TEXEs4WCTzvtNN15zfv6+mT+/Ply9NFHZz7/Sy65ZNC+7e3tuosgi4jcd999uo/nXk8iO+e11nt9ha4taLTOTjQadfw9sbpANAB4xcl9KGj3qIaGBsP7sFGZ4FRtbe2g+Ch78fFilLNAtjFjxkgqlRoUR+cuRm+2poYWR+UuaJ+rGOsz+xUT5b723PcPAMrJ+vXrDbe1tbUN+v+2bdtk27ZtQ9b7PvbYYw1/16M8KKUy6w2LSODq4Jqbm03rjfTqR4899lhZsmRJwfWlbte9wiJ32/LCadOmTWrdunWeJaWU6u/vV9OmTVP19fXq3HPPNc3PVVddperr69UJJ5yguru7bb+ejo4O9eqrr6qBgYEh295///3MCLTzzz8/77HogQSv5OupaWcKGKMeGPX19a71MNHOazSSqdRT7mfk5vpo2ddAvt5m2n5uTXVlNKWQ1bng7fQ29qJndFhGdwQVZRyMcG1YVwoj0PLJnTbSaUomk4PKDLMepF6O9iaRrCTte2o2lVYkElFKGd8HEolE0XpE+3W/CeN9jjIORrg2oMfO714no8ey75dWR+6QSH4nbQr23Pi+mN832MMUjiFx3XXXqfr6evWNb3xDt3FLc95556n6+np1ySWX2D7HAw88kGkgW7BgwZDty5cvz2y/+uqr8x6PACoYSu0GamXIsd0fo04btqyue2ZnGHYpJ7enVcj9PPPNd+5mw53e+d28ht14jhf5wGco42CEa8O6Yq+B5qd8jWhGi5AbNYYZHS+RSBgei0QyStXV1bamOMq3r9bJKF/MZ7ZeTTEXtPfrfhOE124XZRyMcG0gl917q9M6E6sdakmkICa3Yo1S++0UNIWUcVFB0Rx99NEiIrJjxw7ZsGGD7j69vb2ZIc9HHXWUreP39/fLww8/nPn/qlWrhuzT2dmZ+ftf/uVfbB0f/tCmBWlvb5f+/v7MtCCtra1FzUNdXZ3E43Gpq6sbcu5823OZTc+oMZrqxejxJUuWmJ4zV21trbS0tMiee+5paf+mpibTKWzKxezZs6Wurk5WrFjhyvGampoGXT/xuPnMwrvssosr580+v55817SVazhXQ0ODtLS0SG1trcRiscw1WMhQey+OCQB2mN2HSu0eFYlEdB+Px+PS0tIinZ2duq937Nixus/Tm35aZOdvha6uLtfyjfLQ2dlpa4qjfPv29/dLXV2dHHvssab7NTc3S01Nje42o8eN2P1Nkc2v+41brx0Agsjq717t/j19+nRJpVJ5f9fn0uq5mLoRfkqn05mlYOxwq67QST0TisTlxjyY6OvrU9OnT1f19fXqhRde0N2nvb1d1dfXq2nTpqmtW7faOn5nZ2dmdNmZZ56pOjo6huxz++23q/r6ejV58mS1du3avMekB5L//J4WJF8PCCc9JKz21LQz8i7fyCWj987K8yorK233QIlGo6q6ulrFYjGVTCYHLY5b6DRQdkdhGS3o7mfSpvSx20PNyojBdDqduW6M3qtIJGK711z2/mHsbeyGUhsNSxkHI1wb0OP03m8nRiGRgpjMYuFYLGbp94KVqbHNjhFUYcw3ZRyMcG0gl5XYh5l6SGFPqVTK0oxYZsmNOpJyrWcqFqZwDJEXXnhB1dfXq7lz5+puv++++1R9fb164okndLffcsst6uSTT1ZXXnml2rJly6BtAwMD6swzz1QnnHCC+vDDD4c8t7+/X33zm99U9fX16u6777aUXwIo//l9A83XgOekga+Ya0HpJasFo9XpHa2eS0NFWv5pgRKJhIpGoyqRSKhIJGJ5Sod0Oj3ovTbbt5Dr0++GbT+EsYIoH8o4GOHagB6je38ymTRtHDB6nlvreZJIfiYt9jFqJLMaP4Q5tgpbByPKOBjh2kAus9/r2j3PKJ5JpVJFnZLR7eUeSKWfctdq1crzQusCncYBYY6FwoApHEPkmGOOkcbGRlm8eLG88847g7Zt2LBBnnrqKZkyZYqcfvrpQ567efNmefrpp+XTTz+VtrY2WbZs2aDtkUhEzjnnHBkYGJD+/v4hz3/iiSeks7NTjjjiCJkxY4a7Lwye8XtakI6ODtPHjba3t7cbTrtid3pGK4yeqw3B1pvKpbW1VTZt2mR4zIGBAcf50egNtXbrs0skEq4cxw/ae2B0/ezYsUMuuugimTBhgkSjnxVVZtdIKpXKTJWrMXqPzN67fNe8WT4KuYaDjukEAJQ7o3v82rVrTafaNnreTTfdJC0tLYZlUnV1dSaGSSaThb8AlBUt9k2n056eR7u+GxoapK2tTfr6+qStrS0Tb1uNH6zEX0Fl9NoBICicTpFrFMPs2LEjE/esWbNGd58PPvjAcX7tSiQS8tBDDw2Zypf4CWYWLFgwqH5Qm0Y0ty4wkUhINBq1fD1dcMEFjpbdKcd6ptBwuTEPFrW2tqqGhgb16KOPqqVLl6rf/va3avr06eqee+5RfX19hs8zG4GmeeSRR9SMGTPUE088oV555RX10ksvqXnz5qkzzjhDPfzww2pgYMByPumB5D+/R304HYGWL59e9NS0c8xiTTOQO7WBWW9zbZpHOwvAe5HsTvnodIpIJ89LJpOZKRqNephlf+7pdFp3n9yRatms9vqxew2HrXdyLr9Hw3qBMg5GuDZgJPdeblSu2ykzzGISbT+rPbjpfU0SGTwqzMvzmMVTGqvxA72ui4cyDka4NkpToXVKRr+pg5isxlckUm4MY7TUSjKZHPJ90mL6fOdwUucT9nqjIGMKx5Dq7OxUzzzzjGppaVFPPfWU7rSLTm3dulUtXrxYPfbYY5mGtB07dtg+DgFUMPh5A3W6BpqWCvnRm+91F/K+FGsqASsVGLnzLYct0PMjoDabzjF7OomWlhaVTqczjXWJRCJvZY8XjdZ+N4S7oRQrtijjYIRrA1a51bnA6Ee7do+1Ov1zmCq5SN4luw2vdlMymbQcw9jpmGT2WuAeyrjSkq8eqbOzU/X29lo6FtdGaSr0d5zbZUltba1n8UqxOpCQwp9yr3+zfZ1+N8JcV1KKaECDZwigoJS1hiyjAsPp6BSjY2qNH4X+yDariDLrUW43aRUMZgVrdqGaPeey05FdXqfcBiqlzIMNr4Idq5WJQej1UwqNT6VYsUUZByNcG8gnX9meSqVsHS9fQ5yVyisra4WSSj9ldxTyat1dO/GLnfghNw7OXgcX7qGMK75Nmzape+65R1188cXqiiuuUBdffLG67bbb1EcffVTQcTds2KAmT56srrnmGvXMM8+oVatWqfXr16tVq1apJUuWqHnz5qmLL75YdXd3Wzoe10ZpKrSzj5tlSSwW073XuzULj524KTv5PQsQqfgp9/o329eIlYbaoMQwjGyjAQ0eIoCCVW43EJgFPGYVRPnOZ7Uxy6ggrKysdFQ4my1CqhXcYeklpVfQutXgaOf9tBoUB6GRqlSmPyy1oIsyDka4NmDGSnmdO92L3jGy76f5RqBZ/YHuVYMJKVjJKAaqrq62NMVooclu/GI1fmhpaTH8LoQ95ggSyrjiWr16tTr77LPV7bffnpkVqK+vTz344INq2rRpqr293fGx161bp+rr6w3T1VdfrTZu3Gj5eFwbpSlII9C8rjfQXpPdKa2D2nmZ5G3KjkmMrs18neJaWlryNsD6HcOUYmdoJ2hAg2cIoGCV2zfkfCPErDZIZP9gN/pBbpRfvR/7Thu5zApUq+vJFTtpU0taqfDwY8qoqqoqS/sFoZGqFEaglSLKOBjh2vBX0BvrrZTXZmWPnVgiNy4xi2Vqa2sDF0uQ3E/adNRuHEfrkGT3eF7EL25NCx/0+0cQUMYVT3d3t5o+fbqaMWOG6u/vH7L96quvVmeeeab64IMPHB1/3bp1atq0aeonP/mJmjZtmjrhhBPUN7/5TXXNNdeoF154QQ0MDNg6HtdGaSq0rsbo+dooYTuNYlbqZHLPoZVZVjozF1Jn40ViZFs4ktl1Y2Wt+3zH97veh/qonWhAg2cIoGCHmz9YzSqAtOPnKwDsBE5G+bXaQ7zQwlopZTpKzSxpvaXs9rLKl6qqqix9Vn6vt5JKpVQsFjPsNeZWUGB2fTud5pRKHX9RxpUW1gApDWG4X1oZ5aW3vpNWThiVV6lUylIcZVTex2Ix38tkUnhS9vVlt+HVzXWJrebBSoeoMNw/goAyrnhuvvlmVV9frx577DHd7X/84x9VfX29+t73vufo+OvWrVONjY2FZHEQro3S5Ma9Md9vYStlh/a73YsyTVs6o6WlhdFkJNspe8aH7Do/rVO5mUI71hVDqcyIVCga0OAZAij4xSwI0wI2vW1OKgOMCg2vey7F4/FMkBfUHuOF9LaxGrhWV1cXNJVDvumt3Kg0MTu21fPSIzp4KOOKjzVAkE8YekhaXY9Mu+9b7eBSSAOBFlf4HTeQwpOyv1N2KjSz1yPW1rDR289unJMvD1buAWG4fwQBZVxxrF27Vk2ZMkXV19erjo4O3X02bNiQmW7xzTfftH0OGtCCLSi//4pxb7Qy848b9R7JZNKwgYNORCSjpH3/zGJysxH5Zt9dJx3rio34aCca0OAZAih4KV9Ama/wyvd8q5UBRoVGMRq13B41JmKvAk3r7Z7vvTF6r82ea+e1FRJMZ1c4evUjxSzgIBgJL8q44mINEFhhVnb7XQGlyVdBo/WCtlueWSk3vFw7xIuYhBTclB0/WY3BshvP8u1rdV1iq7M8WPne08PaGsq44rjvvvtUfX29mjx5svrkk08M95s2bZqqr69Xzc3Nts9BA1pwBWlErB/3RqPf5YV2Uvar8zPJeXLawau6unpQJ51oNOo4Vi30GkkkEoa/Q6x2rPNTkO5HfqIBDZ4hgIKRQhsq3B61o7ef1coAo2M6nV4gO0DI7SFVjBSNRi2//vr6etNAIhKJmH5Wbk3BYDaq0MpzvWb2oyPfen3lFpSECWVc8bAGCKwqtOwOQh6ddgqx8pq8ih2SySQj2MosOZn2PJlMWvoOiLi3DqCV6ZPyfTfp1DQYZVxxXHzxxaq+vl6deeaZpvul0+nMfnbjFa0Brbu7W91///3q+uuvV1dccYU6++yz1eWXX64ef/xx9emnn1o+HteGe4J0PwpSXpQyX7rCztIZWocls9dI8j9p8UA6nXa8bEkhKR6Pu36NWJnCVFsj0OoAAK/5ff4goAENniGAgh67vRfS6XRmOj9t4XM3gzij/FgZwq9VBOhxq4At9lQCWoFoNn1C7udmVGkWiUQMj+HmmnBaUJVbqGvXSjQaNcxjMQp+JyPQip1H2EcZVzysAQKrrFas+1khbtZxQrvf2+lgosVGZoI83TMpnMms05rZ89LpdMHTFRldy1bXATT7nlh5reWOMs57n3zyiZo8ebKqr69XM2bMMN23qakpM2L+3XfftXWedevWqVNOOUVdc801avXq1YPOf9NNN2XOb3Wq7EMOOUSNHDnSdFR/voSdgjQiNmj3RrfXs/ejUYZkPWkdYfw6fyQSUUo57yCvl8zWOtaLX4L2HQyzQsqnkSNHOo5/ogIANjU3N1t+/JJLLpH58+fLjh07RERkx44dMn/+fGlvb9c9RkdHh2v5WbJkibS0tEhtba1EIhHdfebOnWt43KamJtt5yZePWCzmyjHN9Pf3S3t7u/T398vatWvz7t/Y2Ch9fX2625RShsdYsWKFpeNbUVNTo/v40UcfLW1tbdLf3y+9vb2D3sfa2lppaWmRhoYGV/JgxuhaaGpqsnSdGF2jQDn44IMP5A9/+IOIiBx44IG6+2iPL1u2TJYvX160vCF4GhoaLJWZTuIFtxiVWbW1tZkyyWgfPVps1Nraqru9tbVVGhsbDWMnwEwymZRUKjXo/3rxU0NDg7S1tUlfX5/U1tYaHm/+/PkyZsyYvOc1i4+Mvr/r1q3L5KGtrc12jJd7/yhmrAhk6+zsFKWUiIgMHz7cdN8RI0Zk/t64caPtc23fvl1mzpw56Hs+fPhw+c53viN77bWXvPvuu3LdddfJwMCA7WPDOaM4wE584JaGhgZJp9OSSCRERCSRSEg6nfbt3mj221qj3c+1PJvh2g629evXS2Njo2/n33///UXE3e9ebhyTHUPpxS9XX3217nGoJwoRV5sBUXLonRYsQRlya6c3lTbyLDcZzV3spEe51fw4ef+s9vg2W0Q9Nx/FntJRRAw/By+OaTYFlNmCwmYjCYPA7PrJd52w9kYwUcYVB2uAoBBBm3ZIKWu9SJ30tDUaFc/IM1IhycnvhXzXr9FafLnTFRkJ4ve6nFDGea+9vT3T433WrFmm+954442ZfZ977jlb5/n444/VeeedZ7j94Ycfzhx78eLFeY/HteGeII04cSMvbtdFWT2em6OGSKWbzOqg7K6/p82CFIvFDOu87MQrZuelnqi4CinjGIEGhER272NthFFjY6Nhb2Uv2elNpY08y6X+X4+8XE5GfVnNT75eIXq055ipra2VtrY22W+//Szlw2g0nFVVVVW2n9PT01PQOfX09vbqPm40mk1k54g/o57BRr1vzHrlF5PZ9aNtM+qx7UdPQyAoXn/9dRERGTVqlGkv7LFjx4qIyBtvvGFYRuSzefNm+dWvfiU33HCDXHnllXLOOefIFVdcIU888YRheYRgs9JLudisjHJpaGiQZDJp67hr167VLe/8HG2HcKiurtZ9PBqNyvTp06Wurs5WLNXQ0DBoNEuudevW6X4HBgYGLMXYQfxeA27KHjWTb3RM9nYro22yfe5zn5M777zTcHv2b5AXX3zR1rFRmCCNiDX6nX311VdLXV2dxONx03LCbl1Ua2tr3uPm/rYWEd3nFON3dKH1M3BHOp22tF9dXd2Q0ZS//vWvDY+pfef0vpPpdHrId/Suu+7KXJsLFizQPa6deMVslBn1ROER9zsDAKwxmzax2EFYU1OT7hBsvUIkkUjoVlomEglZsGCBNDc3S0dHh9TU1EhTU5Oj12InP17QzmM1H+vWrXN8rurqahk7dqxs3rxZxo4dK2vWrLH0vP3331+OPfZYmT9/vqPzplIpGTVq1KDPqrm5WXc6qUgkolv5HY/HBwUvuVasWGF4fj+ucyf8vhaBoNm+fbu8/fbbIiIyevRo03217Zs2bZL3339fxo8fb+tcmzdvlhtvvFHS6XSm4nf79u1y5513yj333COLFi2S5uZm+fznP2/peCtXrpTJkyfbykO2Z5991vFz8Rnt3u9GvOB2vvLlYf369baPO3v27CHHHTNmjGtTJqO0aPG0iOjGH1rFvFbZKaIfg+m56aabDKdcqqmpMfwOtLa25v2+BvV7HSaFlE8rV66UiRMnupibcJk7d66nZfSzzz47qMOjUadDTXZHRycdJUeOHGm4Lft4q1evtn1sFMZKrFAMRh1x1q5dm4kvcsuJ7Ht5PK5fdaz3G11rbNNYKX/MnmP0+9pNTjvuwR3xeFx+/etfS0NDg9x99915P4/sDu7aNOi///3vdfddsmRJ5m8r8Ukubfvs2bMzdW92O8iZdYSjnig8aEADQsLoputXr+RUKjWoAJk7d65u4XPhhRfqNtpceOGFrgWUxfgRXl1dLZ2dnUMez16fxWo+ampqHK9j0tnZmcmH9v7H43HTUV8iksnH7373O0eVcDfddJOIfPbampub5dhjj7X1Osx6X7a2tpoGSnaucyeBkVuoEAIGK2QNELsNaGZrgHR0dGTWALnjjjskGmUShjAJSgWUXUblfXYMlSv38dbWVhrPYGjBggWDvhvZlZ16HdisdkjSYimjTlFNTU268ZaIWK44Dev3GuE3c+ZMmT59uqfnGD16tIwcOVK2bNkimzdvNt1X2x6NRm1XzIqIvPXWW7J582Y59NBDh4ykyY53vJiRBP6w+3vXTv2D1nE7+17e39+vu6/eb3QnHb/NnqM1lhh13s2VTqdlyZIlsmLFChrGQmLMmDGZa2P//fd3VFdmFFe3t7dnRjPabdg1Ov7atWttPdfs9wBxUIi4M4skShVzYAdHUNYKcDJ/djqdzswdnEgkArOmlVVW5kq2O3+43jGSyeSgOcBz5wU3Wm/C6HG999vuHOLV1dWm65PV19cP+WydXKv51nexep3nuz6Dso4ggoEyznusAYJyZlYmmZV52Vj/rHxTOp023W4Ww9hZr9jqdSuyM9aLRqOGsafRWresbRYslHHFcd1116n6+nr1jW98Qw0MDBjud95556n6+np1ySWX2D7HAw88kIlvFixYMGT78uXLM9uvvvrqvMfj2gg+J/UxdtZl1X4nW9lX797upPyxs6a93n5G629m//b3Yk14L1IkEvE9D6lUqqjxZzQazXxm+WKfQl6T3uNW4pN89Vv56piCtB5iuSukjKMBDaYIoIKjGDddK40LQWnIc8pJA4qV4MHu63eSD7PGr2QyqVKplGHApR3f6LUYPU97XXYCKKOgx0lFj93r3Oz6JHBBLso477399tuZipsrrrjCdN/m5ubMvi+99JLtc23evNlw27JlyzLHvuGGG/Iei2sDbjEq740aGpLJ5KDn2+34UuzktEIq6K/Lr5RbCeg07i4kXvei0sxKwx2KhzKuOP7whz9kYo8PP/xQd5+enh41ZcoUVV9fb/s3SV9fn5o6dWrmHD/84Q+H7LN48eLM9l/+8pd5j8m1EXxG92it0cOsEr+2tlZFo1HT+7V2DCv3drfqi+w8x2mH2GLFHdmdx8OatPe0WO9ZIpHIey3kS0Zxdb5kJT4xqiuLxWKW65joyB0MNKDBMwRQweLlTdfqjb+QHq1+y9djSRs9lfv+WgkcivH6rQQT+XrWGL0HRoG09rrsBE/ae2fnWjV6bYlEwtZ1bnZ9hr3xF+4r9zLupptuylSqeJGUUmrjxo2Z/+cbffzjH/84s++KFStcfa3vvvtu5tgzZ87Mu3+5XxvwntW4Kwwj0Kqrq33PQ6mk3JjEynWiF3MV0mnIiwozYq1goYwrjr6+PjV9+nRVX1+vXnjhBd19tJH606ZNU1u3brV1/M7Ozkxsc+aZZ6qOjo4h+9x+++2qvr5eTZ48Wa1duzbvMbk2gs/OPdpOA1f2c8x+m+f7fW93lJjZc9ys7ypGPJWvzsVpI08xU319fdFH7UUikcznZHZ9a3V2Ru+tk9F7+eITs9GbtbW11DGFDA1o8AwBVPmweuMPcwHhJGgyCyCL/frtTL2Qm7Ib+PQqWvJ9rnbeOyeNiW4FzWY9+sPc+AtvlHsZt2nTJrVu3TrPklJK9ff3q2nTpqn6+np17rnnmubnqquuUvX19eqEE05Q3d3dtl9PR0eHevXVV3WnSXr//fczlUznn39+3mOV+7UB5+x0ILEyxbVRRUF1dXXmHH5XyMTj8aKfMwhTHHmR9GISs2vKLH5y2vGukEpGo45cbve0pid3YSjjiueFF15Q9fX1au7cubrb77vvPlVfX6+eeOIJ3e233HKLOvnkk9WVV16ptmzZMmjbwMCAOvPMM9UJJ5ygO8Ktv79fffOb31T19fXq7rvvtpRfro3gs3OPtjPFYva9utDf5vlGuxk1onl5Xy+kLsVqctq5JQgpmUz61iEq+zq1Ut+Y/d6aLWeS+/qsXItWl1HRnksdU7jQgAbPEECVj0LnnQ7DD1cnPWrNern48fqtNujlpnwjuaysHeYkAMr3OszWfHPynpqtExfmxl94gzKuOFgDBOXCToxkdbpjK2WX0bGK2cikTSWtleFVVVWeni/7fQrDKD2ryW5M4iS2cbpWh9XPxa9K0DD8FgkKyrjiuv/++9VJJ52kVq1aNejxjz76SJ1++unq5ptv1n1ed3f3oJH9eqPYnnjiCVVfX68++OCDIdsee+yxzNSOvb29lvLKtRF8dtczy2W13HDjXh60398tLS2WOx3Z6RxkZ9aclpYW10d2WTleNBo1fO1erTtmNaXT6cz1ZhS7Gs1kYjUGtBKf2Pluaeu2Be0ahzka0OAZAqjyUYx5p/3mpILFqNdUds9vP16/08qifI1oVuZN17bX19c7OofV3j9OmDUEU+GCXJRxxcEaICgXdiqljMrp3H2tdHAyO2+xezs76XhTaDxTSuup2W2Astvz2elaHWZTJhU7HqayqnCUccXX2tqqGhoa1KOPPqqWLl2qfvvb36rp06ere+65R/X19Rk+z2wEmuaRRx5RM2bMUE888YR65ZVX1EsvvaTmzZunzjjjDPXwww+bdl7KxbURDrn3aKPf10Z1OVbKATf4NTon+/3J7eBjdcRSdnmcb99UKmXr/XM7Rsq3rp2WjMpyq++JV8lqo6ZerGEWA3o5Aj/fdJ3UMQUTDWjwDAFU+SiHG7+TQMWoN4/fP9KdBl2F5jvfdAxmaxzly7Mb72m+SpWwNv7CG5RxxcEaICgXViuKzH6gW903u8zMd95ijtDKXh8lnU7bml7SqGNOvvP4XfHjRnK6dpndxqRCGp+CEkMxXVLhKOP80dnZqZ555hnV0tKinnrqKcNORU5s3bpVLV68WD322GOZhrQdO3bYPg7XRjjZLTuKdT/3o8NDocte2G2kyU7pdNry++p0ZiGzGCJfPFSsNc28Ttnvs5v1dU7WFyyHetRSQgMaPEMAVV6C8sPYS/kagHKT0RDyIPxIdxJ0afl28llbCUbNApV8eXXjPSWAgR2UccXDGiAoB1YrivItkJ7NSrlmpfOIkwoKN9bC0Hplm+VB26eUpmK0k6yOJsy9LsymOjKKe0qh8YkRaIWjjIMRro3wCmJdjh+/zZ3GEoXUY5glvdearwwv5BzF7FSUr0EumUzaGsnnZnJzytFkMmn43SImCRca0OAZAiiUMr3paXILxjAUiHZ6yphN55QvyLAS9JhVwOTLp1vvaRB/PCCYKOOKizVAUOqslq/5FiTXO66TNRui0ajlXsl6yWz9D7u9mKPRqEqlUkPWRsue9qiQqRjtrFVSzGRlVF322ilWGrisfN5GwhDX5kNnqcJRxsEI1wbcZhTDePWb3WksYTaVsZ3R9GZlvHZct2IMvbXXzF6/2yPQ8jUA2pnC3I1kJQ4y4yS+MHq/I5GIozzAWzSgwTMEUKWDRgVnwvAj3U5AV0ijoJVgtJCeW0F6T1EeKOOKjzVAUOqsxFtG5XZ1dXXB5zVbfN3oB76TiiG3F5yPRCKu9cS2mtwYYWeUEolEpmOW2zFaodMwlkIMxu+awlDGwQjXBorBy7LIarmbPRW01Y5JqVTKcayincPNEWJ6DUZmr9+t2C1fZ3Mt6XWu9nI0mhudgezGF2avhdgkeGhAg2cIoEpDqfxY9oudQrTYP+jt9uJpaWlxtOC81SAn33tjFIhyLcIPlHH+YA0QBFkxynEvp9Eza1wxem12KzK0KXm8qPxwsxIlnU7rjkwr5pSRdirazGYJ0N5zN64fGp9AGQcjXBsoBi9HQ1uNT8zKTLP8OY0dEomE5WVEsmMCq3FEMplU6XTasHNQfX195v0xGolmZYRaIpGw/F477Vydb11YJ5+pnevHToxk5T0gzgoOGtDgGQKo0lAK07UUSyGVCnYbKrPXY0skEioSidg+p90Azizo05vb2UrQYiffVNogSCjjYIRrozwVq8ORl3GZk8YVu9MdOZ0S0m4qZESalbXBCpkysqqqKjOtk1sj2bLXqTV6f62OUiPeghnKOBjh2kAxmJW/kUgk09iUSqVUMpk0XXJDT3YZaDTFs1nMZRZLmU3Z51b8k06nM3kpZPpIsxihkPgq9702yqOTztVmU2lq14BR3pLJpOl1l4/T3wFWGkaJw4KBBjR4hgCqNJTCguFucLqGiNXCzk6FWL6gxeo57Vb+xGIxWwGTWQUZFTIIO8o4GOHaKE9Wy/FCGyf8mLqokCmWtZS91obTihe7MYv2flmtPNGSlQozp73IKysrTT9Hp8nqNI35rh9mnkA+lHEwwrWBOCRgdgAATQBJREFUYnBzBLjTEUJO1gs1G6GlNfq50ZBmdYpEJzFV9vuixVZ2OkXF4/FBz9MaOJPJpEqlUrZi4+zpx7X3z8pzjTouVVdXFxSfO+3gZuVzYvBCMNCABs8QQJUGRqBZC5wKfZ/sNFTmK2StntNucKcdN7cyym5P8nJrfEVpooyDEa6N8mSlHHerccKrEUJO8me1ISj7GG5V6JglvZHxGqeVSlpHIrP14qy+D07zYHTe7Iono32MGhWdxLOMUitflHEwwrWBYnCzA4qVehO3p+XzOnm1Jmz2LEPZo8aMOh05SflGCVrtFGX2GdnpRG4ntnE68MDK9UL9WTDQgAbPEECVBnqiWqtMKHSknp0GuHyFvp11LIwCFzufud2RbOXU+IrSRRkHI1wb5clKOR6GTklOGkbMpp/RmzbJjWkL7awFkhvHOK3cKnQqpGg0mnnPnE4Bmd2zXOu17Wb8VcyGYIQTZRyMcG2gWLLLwULKZa8aJrLzl2/kmdHj+Z5r95hhTU5iN6NZnJwsYWJVITF+vrwV8juBDk/uKaSMiwqAktfQ0CAtLS1SW1srsVhMamtrpaWlRRoaGvzOWtF0dHTkfbympkZ3H6PHczU1NVl+PN8xrZ7T6LO96667bH3mRudLJpO6jxu9VgAAwspKOW4lnvBbQ0ODtLW1SV9fn7S1tVmK9/bbbz/dx2tra6WpqUnmz58v7e3t0t/fL+3t7dLZ2Wl6vGQyKbFYTBKJhOE+Y8eOlXQ6LbW1tRKNRiWRSEgkEpHa2lpJpVK6z2lubs68Ri3OsSMSidjaP1f2+2Q1Vst17LHHDvr/xx9/bPm5VuIvK/Gs9j7mMnocAAA3ZccqdsvybE7L4nyy89fX16e7TywWM9ymPW/BggW2z93b22v7OUGmxRZ2YozcuLq1tVUaGxulvb3d1rntxOd26vNyaddLS0uL42PoyX7dWgze2Ngora2tjo6HArjcmIcSQw8klAqrC67r7WOnh4dR7xC763cUu1eJ2WsvRo8XetXAD5RxMMK1Ub7ylUdejEBraWkZNJVyMpkMTByQTCZVVVWV7raqqipVW1urotGoSiQSKhKJDHnPrPQ2TqVSQ9a/MJq+KHsEWL7jZ6/ToeWr0J7udl+bm6m6urqgzzI776yPXN4o42CEawN+KKQ8LUa8ZBb7Wa1nyh51nj1ls96Uh26sfabFZcWMU4ySFlvYicFy4+p8o7uMliSxG5+7US/lZt1WGGa+CBOmcIRnCKBQKqw2jlkt7OwUimbTLOareComvxqxvJpGiEY55EMZByNcG8Hm5/3d7TLLrNLIj0Y0J2uiWomD3JqOKJFIDDp2vukPrTaAaimVShkeM51OD3pNblRwOXn9WiOjWQyrvY5iNgQjPCjjYIRro/wE5Tdz9vqkWlmXW5bV19dn4olEIjGoXPY6b0Yxhhd1GX6twaY1uCUSCVVfX+/acbXYwk7clPv+5ev4U6pTU9PhyV00oMEzBFAoJW4Fh3YL52JUUrgZ+BY7iPaqN38pBlBwF2UcjHBtBFcQ7u/F6FnqdWOG0WsopFHI7H1wst6ZUeVONrv5ylcppXVu0tuWSqVMR8f5kfKtK2LWEczq/kGpXIV7KONghGujvAQhprLK77ym02nDxrvcDkjV1dWmnVjyaWlpydtBKB6PO15jzWrSGx1n1FmnkFhF77y57I70K5V4hQ5P7qIBDZ4hgAKGsluIed1rxM1gspiBab7e24W8PwQasIIyDka4NoKr1O7vZpUOXvUuNSvrC5ni0GjBd7uj2uycw+pz9KZPMpsm0q382kmJRELFYjEVj8dtPccsnjL7XlipaPK7whLeoIyDEa6N8hKmmMrPvOYrC600DFktN/Mt9ZF7TC9Hq9l5b40+n2QyOeS91GIPo8Y/vUYxo5gtzPEIcVjx0YAGzxBAhZff0xuVQs8Po9dht0HM62DPzeMb9XQqNK+576WVwLCQczLUHVZQxsEI10Zwldr93esRaHqxjJO1PKyk3M/Ai0qd3JjSSuOcUYOY0XO97M1t5bU5ed+MKpYK/V6EqXIV1lHGwQjXRnkJU0zlZ17zlYVWYicr5abd8l87Znas52ZcYue9ddLQ43RaRqOprJ0IwzImpVK/GgQ0oMEzBFDh5GcvhULO7WfhpTc03eh12K1M8PrzcCuYNAvYCglMnVageTElFhU+yEYZByNcG8FVavd3sw4lhcYJZhUPRmW90XPMpjY0+gwKXSNMb+ogq68xO9ltEPNqisbsCp98MW++UfpWX2Oh34swVa7COso4GOHaKC9hiqn8zGu+stBKw5WVctNu3KR3TDfXZ7X73up1mjaLdZw2TOaOanPKz3rTMH33SgkNaPAMAVQ4+Xkzdnpuvwovo/OajcRyklcvGwfd+ryt9IJ38jqcBnGFruPmVzCE8KCMgxGujeAqpfu70Wupqqpy5fUYlb9GjS3adIBmZb3Zmhy5ec5XoZQ9Ii4SiahEIuGoV3G+6X3sNojlTvlYW1ubdy0SoxSJRAqK+6x2QjJqFC30OqKCpzRRxsEI10Z5CVNMFeTGDrdGoNkdQWY0dbaTeMXt99bK55VvH7P3w8s4OQiNsvAGDWjwDAFUOPl5M3Z6br8KL6e9fII0jNqtYDJfgGLW2OhkaL6dgNDJ+x2kzwjBRBkHI1wbwRbk+7udvHkd+xiVv/kalIwa0cwqZews+G4nTrH7WWfvr6115rTCKPtYRsexM6rMqewGQqPPzih/Xo1itHrcIH9XyxllHIxwbZSfMN2ni51X7XxGnVS0EVZW1k61kle7MYvRMZ12+rHakcnK52AUA6ZSKcuj1Kx08C5EkKcFhTdoQINnCKDCKYwj0PwqvNzo5RMEbgSTZkGO2fZ8AZzTEWj55r4OcnCPcKCMgxGuDTiRr7zKLavNplK0e169GMAsJmtpaTEciWZUgWP2uJ33I1/HG6vvp5PnmqVUKjXoszLKu5+VjE5mTnDjnE5iTOK34KKMgxGuDWAnozJMG1luNAV3JBJRqVTKdrxgFrfU19fbKk8LHYVmNK201jlJ7zm5Hans1LM5eR1u1BP6WW9KjOQPGtDgGQKocPLzZuz03EEbgeZVT94gK2QIvdlnZXTcfOup5JsSIaiNmQgPyjgY4dqAE/karKxWJNgp38zK7kLLdavJrBIjnU5nGuoSiYTuSDUn76fT51p934Mce9gdZedWg1++hrTc7dXV1YYxNvxFGQcjXBvATk6nbXQaJxgdL5lMOjpXvumtrcZDduJXq6PH7LwOoxjHrQ5C+V6Hl8I0+rNU0IAGzxBAhZefN2On0+35UXjlq3gqtwLN7DXnC4LMKtDMjuv33NcoX5RxMMK1ASfMRtPbqUiwU7blq1QppFy3W9mi16BSyOsrZHYCJ42D2ccNw9oUTnqYO42brIyutJMP+IsyDka4NhAmXtbX5IsD3I4TzI5X6LnsltHZx3XaEGbnnPnqkdyMZ/SO73Sq8HKpIywlNKDBMwRQKCa/CqNyKgTzNWTl61lsNWByM19urKESBOV0nYUFZRyMcG3ACbPGLLP1yJyWy0oVVoFjdzpAK2tqWCm/rcYLjEAzV+hrdONc+XriGyX4izIORrg2EBZ2p822+9s7KCPQamtrDbclEgnLr8tpQ5idDkm5sWfuZ2B1uunc55mtk2aFW/Uwfo9YQ+FoQINnCKCA0lHINE/Zxyj29JZeNtwVi9cBPpyhjIMRrg04YXavt1vRYrVcLrQCR6/8sTI6v5BKl0J7TFspI43WJjFLVkbHaw2eQSinCx1l58a58vXE10vJZNLNtwEOUMbBCNcGwsLJtNl2ym6jOEKbitrtxhQndTVaqq6utjRyykk85NZUjFbfs2K+r3aFoXMVzNGABs8QQAGlw0mvJrOKvWI2+JgFfEGaTsmI1wE+nKGMgxGuDThlVD7avdcbdVbJXT/KjTIkt3NMMpnM29vXSuOYGxUNbk4Lblbho9ehJZVKqWQyqaLRqO7zkslk0cvq7Pxpa8u5Edfl4+YINOIb/1HGwQjXBvxmtdx3Mm22nTLQyjHcrhPJN1uQUblvtXw16wwdjUYdzUJkt3zP954VO36xw6yzEB2hw4EGNHiGAAooHV7Oq10MYe7x43WAD2co42CEawNesFPRYlZBYfW4Vs5nVjFilj+zaR7zHdvrygWnjTl2p7Qs9PU4WXfD6msqdg9uo+2FTrsEb1DGwQjXBvxkp+xyMm22nboNs8aSSCSiEomEYaOTV/KN9tbyYiX2sxt/6M1W4EX5Xsy15eyyGl8S6wQXDWjwDAEUUDrcHIHmhzCP1PI6wIczlHEwwrUBv5n9MLei0Ckg88UAdkbIFbsBxcl6c0o5W1PMaazkJKYxWwPF6Rp6dvNsdjymow4PyjgY4dqAn+zUSbg5bbadvPjZaJIvT0Yj5p00kPklyCPQrHZkClIdGgajAQ2eIYACSoeTebWDVvkRpODODq8DfDhDGQcjXBvwm5URXmasli35pqMxEuTOH/kaBY16TjtZU8zsNZvFLE7K/iC/5wgXyjgY4dqAn+yWc25Nm210bDuxQCKR8HVZCy0PdmOLoNUDBXkNNO14Zp2gicuCjQY0eIYACigt+ebVDmPjVFh4GeDDGco4GOHagN8KLRusVkLZGYGmlWPRaFRFIhHd56RSqaLFEnbL1XzJbFSd2fPs9IxPpVKmjXVmlS50uIFbKONghGsDfnJ7tFCh8YiVxhIvGmbM8ptOpw3PbRSbhSm28KJuxKt6rqC9d8iPBjR4hgAKALxH46U/KONghGsDQVBI2WD1R73VNdCcNkp51SHEyppcdqdfMhr1p41YM2pIs7M2S75zGTVaxmIxW+d36z0mNilNlHEwwrUBPwW5Y6nVmKIY0zq3tLQMiiO0zjl+jG53O1Ywew1Bi0uCfL1CHw1o8AwBFACgVFHGwQjXBsLOzo/63MahZDJpe32wRCJh2CiUuy6aG9yYolKvssitdb7ynddKY5jRZ5hMJj2vPKJSqLRRxsEI1wb8FrRGEo3VjkROpu9zaySTm+urWjm3F7GC2Tq2QYxLgnq9Ql8hZVxUAAC+am1tlbq6OonH41JXVyetra1+ZwkAAIRYQ0ODtLS0SG1trcRiMamtrZWWlhZpaGjQ3Xf16tWidnaulDVr1gzZr6Ojw/R8fX19sn79et1ta9assR3b5IuNjPKT+3hNTY3lc9bU1EhDQ4O0tbVJX1+ftLW1DXkfsrc3NTVJc3Ozbh7znXfdunV5P5/m5mbd544ePdowf24xOvcFF1xAvAoA8Ey+ctgv2XFVJBKRSCSiu5+duENjNaaxk8d8sZ+mqanJ8PF8sZhRrGD0uBVG798uu+zi+rncENTrFe6jAQ0AbHKzwau1tVUaGxulvb1d+vv7pb29XRobG12plKBhDgCA8uXmj/p8FUI1NTWm+1ip4NDillgsljc2MjpX7uNGFUN67OybL37LdywrjXVuVag5YXSOHTt2uB6vAgAKx29/72nl9sDAgDz00EO6+9iJJTRGMU08Hrf9edqN/Ywa3UQkbyzmRZxi9P719va6fi7AFlfHwqHkMIQfGMztYepeLTzK1DtAfpRxMMK1Ab85mRLGy2lk8k1dpK0TZrQ935RGVqZGyo6N7E5Rmfu+FPpeWYnfctcosRuP+bk4vZdrvcB/lHEwwrURTvz294dbcZfV6SGL+XlaiUG8rMvKfV/9jIlQOlgDDZ4hgAIGM1qzwun6HoUu2mqEAAPIjzIORrg24CcnFWHFqDzTKjCi0ahKJBIqEokMqTAyajDKF39YabDJjY2Kue5E7rmM1uLQi9+c5tPPClEv13qB/yjjYIRrI5z47R9+2bFCIpHw/fO0Uk+VTqd190mn067nh0ZiuIE10ACgSNasWWPr8XysTkFkl5/T/pQipsQAABSL1TUlssumCy64wNaxnNCmBerv75dPP/1UBgYGhkwPNHfuXN3n5pvSyEp8khsbFWvdCb3pGpVSlvJYSD6drGXiltxzJxIJ3f0KjVezEWsBgDP89ncuCGVPa2urNDc3S0dHh9TU1EhPT4/ufsX8PK3UUy1ZskR3H6PHC+FnTASIsAYaAPjKbNHWQnjVMFeOvFynDgCAXFYqwnLLph07dtg6llecVnBYiU8KjY2cstMI6XYe/VycPvvcCxYs0N3HrddLrAUAzvHb35kglD2FdtLxipV6qmI33PoZEwE0oAGADclk0tbj+XjVk8arhrlyZHUkAAAAbrBSETZ79uyCjuUlJxUcRvFJJBLxvZexUUVQNBotm57QXvf8JtYCAOdK7bd/sUaFBaHs8bOTjhkr5T4NtygnNKABgA1GUxMZPW6FFz1pGOLuHqbEAACI5K/QcavCJ19FWGtrq+Wpo8NSeWYUt+hNE1lsRhVB++23X1n1hPay5zexFgA4V0q//Ys5KiwIZU+QO+nkK/dLreEWMEMDGgDYEKbglCHu7qBnFQAgX4WOmxU++WINs97KiUQi8PGJEatxS7HXK6GCyHvEWgBQmFL57V/MUWFBKHusdtIREd/XassVproxoFARZTS5KiAikyZNEhGRv/zlLz7nBAD8oVWK5iI4DD/KOBjh2kCuuro6aW9vH/J4bW2ttLW15d3upng8Lv39/brbSr1s8qtMbm1tlebmZuno6JCamhppamoq6fe52Ii1iosyDka4NuA3oxgnFotJX1+fq+cKQtljJQ9ByCdQCgop4xiBBgCACXpWAQDyTfNTzGmAjHorJ5PJki+b/FqvxI2e/cUeORcmxFoAAJHijArTyuPp06dLMpmUVCrlW9ljpfwLwlptQLmjAQ0AYEs5VgCVypQYAABn8lXoFHMaIKOpAwtZjzUsnDRUBiFuKeaaLmFFrAUAMIpxuru7XSkzc8vjtWvXypo1a+SBBx7wrezJV/4FYa02oNzRgAYAsIwKIABAOcq3DpYX62QZNfyU82gduw2VQYlb6D0OAEB+WoyTTCYHPb5mzRpXyu8wlsdGMU5/f3/ZdGgG/EYDGgDAsqAEnEHoTQ4AKB/5Gq3cbtTK1/BTrqN17DZUBiVuofc4AADWNDQ0yOjRo3W3FVp+h7E8NuuMRYdmoDgiSinldyYQXCwiCyBbMRf1NcIiunALZRyMcG3Ab3V1ddLe3j7k8draWmlra/MhR8HR2toqzc3N0tHRITU1NdLU1GRY/gchbhHh80SwUMbBCNcGgsKr8jus5bEW++jlXST4+QeCoJAyjhFoABAiVkZeeTk6q5hrvBgJSm9yAAC8EsYe0sViZ/RdEOIWEW+m+LSDkfsAgDDxqvz2uzx2Sot9YrGY7nbiQ8BbNKABQEhYWcfD67U+ghBwUqkIACh1QWn4CbsgxC0i/q5bF5R14AAAsMqr8jsM68iadXrxKj6kow1gjgY0AAgJKyOvvB6dFYSAk0pFAECpC0rDT9DYreAJQtySnRc/1q3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"text/plain": "<Figure size 864x288 with 3 Axes>"
},
"metadata": {
"image/png": {
"height": 296,
"width": 872
}
},
"output_type": "display_data"
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "# Spirals\n\nMy idea here was to sample actions from distributions, and use the angles to make a spiral. A spiral is something with linearly increasing azimuthal phase. I think we can make that with this. We take the actions from sampling the qISO DF above, but we put in custom phase angles:"
},
{
"metadata": {
"ExecuteTime": {
"start_time": "2023-06-14T18:15:56.354620Z",
"end_time": "2023-06-14T18:15:57.637764Z"
},
"trusted": true
},
"cell_type": "code",
"source": "af = agama.ActionFinder(agama_pot)\nJ_xv = af(xv) # order is: JR, Jz, Jphi",
"execution_count": 29,
"outputs": []
},
{
"metadata": {},
"cell_type": "markdown",
"source": "Now we make angles with non-uniform phase in azimuth, but uniform in other components:"
},
{
"metadata": {
"ExecuteTime": {
"start_time": "2023-06-14T18:19:55.238801Z",
"end_time": "2023-06-14T18:19:55.277973Z"
},
"trusted": true
},
"cell_type": "code",
"source": "R = w0.cylindrical.rho.value",
"execution_count": 68,
"outputs": []
},
{
"metadata": {
"ExecuteTime": {
"start_time": "2023-06-14T18:22:48.600072Z",
"end_time": "2023-06-14T18:22:48.615371Z"
},
"trusted": true
},
"cell_type": "code",
"source": "rng = np.random.default_rng(seed=42)\nth_R = rng.uniform(0, 2*np.pi, size=xv.shape[0])\nth_z = rng.uniform(0, 2*np.pi, size=xv.shape[0])\n\n# 0.5 is an arbitrary width of the spiral (in radians) that I picked! Feel free to \n# change this. Also the \"/ 12\" is me setting the winded-ness of the spiral - also play\n# with that to get something that looks galaxy-like!\nth_phi = rng.normal(R / 12. * 2*np.pi, 0.5) \nth_phi[::2] += np.pi",
"execution_count": 92,
"outputs": []
},
{
"metadata": {
"ExecuteTime": {
"start_time": "2023-06-14T18:22:49.101994Z",
"end_time": "2023-06-14T18:22:49.105377Z"
},
"trusted": true
},
"cell_type": "code",
"source": "th_xv = np.stack((th_R, th_z, th_phi)).T",
"execution_count": 93,
"outputs": []
},
{
"metadata": {
"ExecuteTime": {
"start_time": "2023-06-14T18:22:49.276694Z",
"end_time": "2023-06-14T18:22:54.780126Z"
},
"trusted": true
},
"cell_type": "code",
"source": "xv_spiral = []\n\n# This takes a while, so I only felt like waiting for 2000 :)\nfor i in range(2000):\n# for i in range(xv.shape[0]):\n xv_spiral.append(agama.ActionMapper(agama_pot, J_xv[i])(th_xv[i]))\n\nxv_spiral = np.array(xv_spiral)",
"execution_count": 94,
"outputs": []
},
{
"metadata": {
"trusted": true,
"ExecuteTime": {
"start_time": "2023-06-14T18:22:54.781190Z",
"end_time": "2023-06-14T18:22:54.783812Z"
}
},
"id": "dff07119",
"cell_type": "code",
"source": "spiral_w0 = gd.PhaseSpacePosition.from_w(xv_spiral.T, units=galactic)",
"execution_count": 95,
"outputs": []
},
{
"metadata": {
"trusted": true,
"ExecuteTime": {
"start_time": "2023-06-14T18:22:54.784993Z",
"end_time": "2023-06-14T18:22:55.083265Z"
}
},
"id": "51a8badf",
"cell_type": "code",
"source": "fig = spiral_w0.plot(alpha=0.5)\nfig.axes[0].set_xlim(-20, 20)\nfig.axes[0].set_ylim(-20, 20)",
"execution_count": 96,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 96,
"data": {
"text/plain": "(-20.0, 20.0)"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "<Figure size 864x288 with 3 Axes>",
"image/png": 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},
"metadata": {
"image/png": {
"width": 872,
"height": 296
}
}
}
]
},
{
"metadata": {
"trusted": false
},
"id": "909724b5",
"cell_type": "code",
"source": "",
"execution_count": null,
"outputs": []
}
],
"metadata": {
"kernelspec": {
"name": "conda-root-py",
"display_name": "Python [conda env:root] *",
"language": "python"
},
"language_info": {
"name": "python",
"version": "3.10.4",
"mimetype": "text/x-python",
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"pygments_lexer": "ipython3",
"nbconvert_exporter": "python",
"file_extension": ".py"
},
"toc": {
"nav_menu": {},
"number_sections": true,
"sideBar": true,
"skip_h1_title": false,
"base_numbering": 1,
"title_cell": "Table of Contents",
"title_sidebar": "Contents",
"toc_cell": false,
"toc_position": {
"height": "calc(100% - 180px)",
"width": "277.391px",
"left": "10px",
"top": "150px"
},
"toc_section_display": true,
"toc_window_display": true
},
"gist": {
"id": "",
"data": {
"description": "projects/demo-notebooks/Tom-Gala-Agama-DF.ipynb",
"public": true
}
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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