{ "cells": [ { "cell_type": "markdown", "id": "c8845bf4", "metadata": {}, "source": [ "# Table FFT\n", "`ubermagtable` has the functionality to Fourier transform table data. This can be useful for trying to look at phenomena such as ferromagnetic resonance. " ] }, { "cell_type": "markdown", "id": "0d863c14", "metadata": {}, "source": [ "To give an example of the Fourier transform functionality, a system with a single macrospin has been created. This system has the initial magnetisation along the $x$ direction with an external magnetic field applied along the $z$ direction. We can then use a time driver to evolve the state with a dynamics equation which includes precession and damping. The following code is used to generate data (using the full range of packages available in Ubermag):\n", "\n", "```python\n", "import oommfc as mc\n", "import discretisedfield as df\n", "import micromagneticmodel as mm\n", "\n", "# Define a macrospin mesh (i.e. one discretisation cell).\n", "p1 = (0, 0, 0) # first point of the mesh domain (m)\n", "p2 = (1e-9, 1e-9, 1e-9) # second point of the mesh domain (m)\n", "n = (1, 1, 1) # discretisation cell size (m)\n", "\n", "Ms = 8e6 # magnetisation saturation (A/m)\n", "H = (0, 0, 2e6) # external magnetic field (A/m)\n", "gamma0 = 2.211e5 # gyromagnetic ratio (m/As)\n", "alpha = 0.1 # Gilbert damping\n", "\n", "region = df.Region(p1=p1, p2=p2)\n", "mesh = df.Mesh(region=region, n=n)\n", "\n", "system = mm.System(name='macrospin')\n", "system.energy = mm.Zeeman(H=H)\n", "system.dynamics = mm.Precession(gamma0=gamma0) + mm.Damping(alpha=alpha)\n", "system.m = df.Field(mesh, dim=3, value=(1, 0, 0), norm=Ms)\n", "\n", "td = mc.TimeDriver()\n", "td.drive(system, t=0.1e-9, n=200)\n", "```\n", "\n", "However, `ubermagtable` can be used indepentently of most other packages in Ubermag. Therefore, in this example we assume that we already have an `odt` file that we can load from disk using only `ubermagtable`. (When using the full range of Ubermag packages this is generally done automatically in the background and the table made available as `system.table`)." ] }, { "cell_type": "code", "execution_count": 1, "id": "db01a9c1-2936-44dd-8579-9737be7f0e68", "metadata": {}, "outputs": [], "source": [ "import os\n", "\n", "import numpy as np\n", "\n", "import ubermagtable" ] }, { "cell_type": "markdown", "id": "9676fd34-6d8c-48cf-a91e-831396a14fc5", "metadata": {}, "source": [ "There is a pre-computed file under `./macrospin/drive-0/macrospin.odt` (obtained with the code shown above):" ] }, { "cell_type": "code", "execution_count": 2, "id": "05567b49-86c5-4b91-b579-d99b5352ae16", "metadata": {}, "outputs": [], "source": [ "odtfile = os.path.join(\".\", \"macrospin\", \"drive-0\", \"macrospin.odt\")\n", "table = ubermagtable.Table.fromfile(odtfile, x=\"t\")" ] }, { "cell_type": "code", "execution_count": 3, "id": "f78b26a0-8cf1-4457-8485-339c727db402", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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EE_calc_countmax_dm/dtdE/dtdelta_EE_zeemaniterationstage_iterationstagemxmymzlast_time_stept
0-4.400762e-2237.025204.415522-8.798712e-10-3.269612e-22-4.400762e-226.06.00.00.9759010.2171150.0218883.715017e-135.000000e-13
1-8.797309e-2244.025186.311578-8.786077e-10-4.396547e-22-8.797309e-228.01.01.00.9048100.4235620.0437545.000000e-131.000000e-12
2-1.318544e-2151.025156.186455-8.765071e-10-4.388134e-22-1.318544e-2110.01.02.00.7902860.6092180.0655795.000000e-131.500000e-12
3-1.756100e-2158.025114.112032-8.735776e-10-4.375555e-22-1.756100e-2112.01.03.00.6380550.7650210.0873415.000000e-132.000000e-12
4-2.191985e-2165.025060.188355-8.698302e-10-4.358857e-22-2.191985e-2114.01.04.00.4557100.8834270.1090205.000000e-132.500000e-12
.............................................
195-2.009865e-201402.0690.438568-6.602614e-13-3.374608e-25-2.009865e-20396.01.0195.00.013011-0.0240990.9996255.000000e-139.800000e-11
196-2.009897e-201409.0675.493807-6.319876e-13-3.230101e-25-2.009897e-20398.01.0196.00.017545-0.0202510.9996415.000000e-139.850000e-11
197-2.009928e-201416.0660.872303-6.049242e-13-3.091780e-25-2.009928e-20400.01.0197.00.021059-0.0156120.9996565.000000e-139.900000e-11
198-2.009958e-201423.0646.567078-5.790193e-13-2.959381e-25-2.009958e-20402.01.0198.00.023428-0.0104350.9996715.000000e-139.950000e-11
199-2.009986e-201430.0632.571305-5.542233e-13-2.832649e-25-2.009986e-20404.01.0199.00.024591-0.0049880.9996855.000000e-131.000000e-10
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200 rows × 14 columns

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" ], "text/plain": [ " E E_calc_count max_dm/dt dE/dt delta_E \\\n", "0 -4.400762e-22 37.0 25204.415522 -8.798712e-10 -3.269612e-22 \n", "1 -8.797309e-22 44.0 25186.311578 -8.786077e-10 -4.396547e-22 \n", "2 -1.318544e-21 51.0 25156.186455 -8.765071e-10 -4.388134e-22 \n", "3 -1.756100e-21 58.0 25114.112032 -8.735776e-10 -4.375555e-22 \n", "4 -2.191985e-21 65.0 25060.188355 -8.698302e-10 -4.358857e-22 \n", ".. ... ... ... ... ... \n", "195 -2.009865e-20 1402.0 690.438568 -6.602614e-13 -3.374608e-25 \n", "196 -2.009897e-20 1409.0 675.493807 -6.319876e-13 -3.230101e-25 \n", "197 -2.009928e-20 1416.0 660.872303 -6.049242e-13 -3.091780e-25 \n", "198 -2.009958e-20 1423.0 646.567078 -5.790193e-13 -2.959381e-25 \n", "199 -2.009986e-20 1430.0 632.571305 -5.542233e-13 -2.832649e-25 \n", "\n", " E_zeeman iteration stage_iteration stage mx my \\\n", "0 -4.400762e-22 6.0 6.0 0.0 0.975901 0.217115 \n", "1 -8.797309e-22 8.0 1.0 1.0 0.904810 0.423562 \n", "2 -1.318544e-21 10.0 1.0 2.0 0.790286 0.609218 \n", "3 -1.756100e-21 12.0 1.0 3.0 0.638055 0.765021 \n", "4 -2.191985e-21 14.0 1.0 4.0 0.455710 0.883427 \n", ".. ... ... ... ... ... ... \n", "195 -2.009865e-20 396.0 1.0 195.0 0.013011 -0.024099 \n", "196 -2.009897e-20 398.0 1.0 196.0 0.017545 -0.020251 \n", "197 -2.009928e-20 400.0 1.0 197.0 0.021059 -0.015612 \n", "198 -2.009958e-20 402.0 1.0 198.0 0.023428 -0.010435 \n", "199 -2.009986e-20 404.0 1.0 199.0 0.024591 -0.004988 \n", "\n", " mz last_time_step t \n", "0 0.021888 3.715017e-13 5.000000e-13 \n", "1 0.043754 5.000000e-13 1.000000e-12 \n", "2 0.065579 5.000000e-13 1.500000e-12 \n", "3 0.087341 5.000000e-13 2.000000e-12 \n", "4 0.109020 5.000000e-13 2.500000e-12 \n", ".. ... ... ... \n", "195 0.999625 5.000000e-13 9.800000e-11 \n", "196 0.999641 5.000000e-13 9.850000e-11 \n", "197 0.999656 5.000000e-13 9.900000e-11 \n", "198 0.999671 5.000000e-13 9.950000e-11 \n", "199 0.999685 5.000000e-13 1.000000e-10 \n", "\n", "[200 rows x 14 columns]" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "table.data" ] }, { "cell_type": "markdown", "id": "804d2011", "metadata": {}, "source": [ "We can examine the time evolution of the components of the magnetisation." ] }, { "cell_type": "code", "execution_count": 4, "id": "858de4db", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# NBVAL_IGNORE_OUTPUT\n", "table.mpl(y=[\"mx\", \"my\", \"mz\"])" ] }, { "cell_type": "markdown", "id": "724184bd", "metadata": {}, "source": [ "We can use `rfft` to take the real Fourier transform of the table and return a new `ubermag.table` object. A list of dependent variables can be provided to the function and only these columns will be transformed. If not list is provided then every column is Fourier transformed. At the moment the units of `rfft` are only correct when the independent variable is time." ] }, { "cell_type": "code", "execution_count": 5, "id": "2fabc78f", "metadata": { "tags": [ "nbval-ignore-output" ] }, "outputs": [ { "data": { "text/plain": [ " f ft_mx ft_my \\\n", "0 0.000000e+00 -0.521315+0.000000j 4.487159+0.000000j \n", "1 1.000000e+10 -0.543484+0.663425j 4.585720+0.150552j \n", "2 2.000000e+10 -0.616125+1.426352j 4.912330+0.322464j \n", "3 3.000000e+10 -0.759313+2.452269j 5.590649+0.544779j \n", "4 4.000000e+10 -0.989438+4.140613j 6.995293+0.839505j \n", ".. ... ... ... \n", "96 9.600000e+11 0.487614-0.030294j 0.055860-0.006899j \n", "97 9.700000e+11 0.487593-0.022707j 0.055952-0.005171j \n", "98 9.800000e+11 0.487579-0.015131j 0.056017-0.003446j \n", "99 9.900000e+11 0.487570-0.007564j 0.056056-0.001722j \n", "100 1.000000e+12 0.487567+0.000000j 0.056069+0.000000j \n", "\n", " ft_mz \n", "0 168.841749+0.000000j \n", "1 -18.166086+16.032844j \n", "2 -7.088546+13.908290j \n", "3 -3.313478+10.167120j \n", "4 -1.9890680+7.7393600j \n", ".. ... \n", "96 -0.4943940+0.0307590j \n", "97 -0.4943850+0.0230560j \n", "98 -0.4943780+0.0153640j \n", "99 -0.4943740+0.0076800j \n", "100 -0.4943730+0.0000000j \n", "\n", "[101 rows x 4 columns]" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "fft_table = table.rfft(y=[\"mx\", \"my\", \"mz\"])\n", "fft_table" ] }, { "cell_type": "markdown", "id": "89be9677", "metadata": {}, "source": [ "As the data is a complex number we can use `apply` to apply a function to each of the values. In this case using `np.abs` means we can plot the result as it is a real number." ] }, { "cell_type": "code", "execution_count": 6, "id": "3433ec91", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# NBVAL_IGNORE_OUTPUT\n", "fft_table.apply(np.abs).mpl(y=[\"ft_mx\", \"ft_my\"])" ] }, { "cell_type": "markdown", "id": "7b6d918f", "metadata": {}, "source": [ "An inverse real Fourier transform functionality is also implemented `irfft`." ] }, { "cell_type": "code", "execution_count": 7, "id": "8121930d", "metadata": {}, "outputs": [ { "data": { "text/plain": [ " t mx my mz\n", "0 5.000000e-13 0.975901 0.217115 0.021888\n", "1 1.000000e-12 0.904810 0.423562 0.043754\n", "2 1.500000e-12 0.790286 0.609218 0.065579\n", "3 2.000000e-12 0.638055 0.765021 0.087341\n", "4 2.500000e-12 0.455710 0.883427 0.109020\n", ".. ... ... ... ...\n", "195 9.800000e-11 0.013011 -0.024099 0.999625\n", "196 9.850000e-11 0.017545 -0.020251 0.999641\n", "197 9.900000e-11 0.021059 -0.015612 0.999656\n", "198 9.950000e-11 0.023428 -0.010435 0.999671\n", "199 1.000000e-10 0.024591 -0.004988 0.999685\n", "\n", "[200 rows x 4 columns]" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ifft_table = fft_table.irfft()\n", "ifft_table" ] }, { "cell_type": "code", "execution_count": 8, "id": "202473ed", "metadata": {}, "outputs": [ { "data": { "image/png": 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OxcE1s67gomnnidSAQCAQ9EMIgjHApsjkZjn71RC0g6QguUcvUkt2GvjbRq05GA+2HDAsl89eVILPbWfBjFwOnOigrStMQc7kThvU+xt44uizHOo4ioTEuVPWsmHW5WQ7siZ6aQKBQDDpEIJgjMjPdlJ9qgdN09ED7Uje3JRSAFJWYuphC5TOHWXvsSUSVdl5tIXiXDczS42b6Kr5xRw40cH2Iy1cftbQg5ommmAsyFNVL/Ju/RZ0dCrz53HDnA1M8ZVO9NIEAoFg0iIEwRhRkO3ieH03nd1B7MFOlOI5KR2XcCjUJoE50c5jLURjGmsXliQ9+lfOLeT3Lx1m++HmSScIdF1ne9MuHj/6DD0xP6XeEm6Ys4FFBfMnemkCgUAw6RGCYIzIzzLC6V2tzRTqesqzCSRPLgB6sGuslpYye44bouSsyuLkazk+J3On5XC0rotOf4Rc3+TIwzcHW3n08N841HEUu2znullXsX76+dhGsIoWCAQCQR/it+UYke01KtfDHS3A6B4ECSSPUWegh7rHZmEmqGsO4LDLTCn0Dnh92ZxCjtR1cayui9ULioc5enyIa3FeqXmTF068SlyLszB/Ph+Zfz2FbjELQiAQCMwwaQTBgQMH+Na3vsWxY8eYMWMG3/nOd1i+fPmAfW6//Xa2b9+e/FrTNMLhMH/6059YuXIl9913H4899hh2uz25z3PPPceUKVPG62MkyfIYa4h1G0/Zo7kUJpBcWYCEHprYCEFc1WhoCzC9xId82kjf8mIfAHUt/gkVBDXddTx88FEaAk1kO7K4ae61rCxeKkYQCwQCgQUmhSCIRCLceeed3Hnnndx888089dRT3HXXXbzyyit4vX1Ppw888MCA4+69917i8TgrV64EDFHx4x//mCuvvHJc1z8UOb0RgoQHQaothJKsILl8aBOcMmjqCKFqOlMLfYO2TS0yXqtvDYz3sgDDU+DFE6/y4snX0HSN86as5brZV+OxuydkPQKBQHAmMCkEwebNm5FlmVtuuQWAm266iYceeog333yTq6++eshjXnnlFTZv3sxzzz0HGNGCw4cPU1lZOW7rHolEyoDeJ325tzYgFSRPzoQXFda3+AGYVuQdtC3X58DjtFHXMv6C4JS/kYcPPkptTz25zhw+UXkzlfnzxn0dAoFAcKYxKQRBdXU1s2fPHvBaRUUFVVVVQ+4fj8f5/ve/z7333ovPZzytnjhxgnA4zA9/+EN27NhBaWkpd999NxdffPGYr38osjyGIJAjPUBfbUAqSO4caK9Dj0eRbBPjolffe7NPRAP6I0kS04q8HK3vIhpTcdiHHgmsx6NEdzyN2ngEtaMe1/mfwj7rLEvr0XWdN+s38rdjzxHX4pxdtpqb5l6D2yaiAgKBQJAJJoUgCAaDuN0Df7G7XC7C4fCQ+z///PM4nc4BqYHu7m7WrFnD7bffzpIlS3jzzTf5yle+wmOPPcb8+UO3neXlebDZMjPfvqhooNlNXr7xZG1Xg8b2aWXI9tQq8pvzCvDXQ55bxZ47MSY6rT2GqdLSBSVDzi2YPT2PI3VdhDWYWjT0Gru3v4R/17MgyaDraHufp3DNxSPm+E+/jgDdET+/2voI20/tJcvh5a41t7N66jKLn+zMZ6hrKDCPuI7pI65hZhiv6zgpBIHb7R508w+Hw3g8niH3f+KJJ/iHf/gH5H5GP8uXL+ehhx5Kfn3ppZeybt063njjjWEFQUdHMAOrN75ZLS09g173umzY436wu2jrjALRlM4XkY3P3VZ/CiU2MU/Ax+s68bpsxMNRWiKxQdsLfUbkYu+RZrKdQ4uq4J63AfB+5AdENj9K9MR2mg7sRimePeT+Q13Hw+3HeOjAn+mKdjM/bw63LfwIuY6cIa+3YPifRYE5xHVMH3ENM0Omr+NI4mLip+cAs2bNorq6esBr1dXVzJkz2MzH7/fz3nvvcdVVVw14fdOmTfz5z38e8FokEsHpnLg++WyvA7ceQnJnmzpO7rU4nqjCwkhMpaUjxNQi37BP86MVFmrBTtSGQ8glc5Czi7EvXA9A9MBrKa1B0zVeqH6Vn+/6DT0xP9fNvoovLr+dXGfqqReBQCAQpM6kEATr1q0jGo3yyCOPEIvFePzxx2ltbeW8884btO++ffsoLi6mpKRkwOuSJPHDH/6Qbdu2oaoqzzzzDLt37x4kHMaTHI8dL6HeVsLUSXoRTJAgaGgLoDN0QWGCqb3b6ocpLIxXbwNdxz57LQDK1Eqk7BLix7eih/0jvn8gFuT+Pb/j2eqXyHXm8NWVn+fyGRcjS5Pix1UgEAjOSCbFb1iHw8FvfvMbnnvuOdasWcPvf/97fvWrX+HxeLj99tu5//77k/vW19dTVFQ06Bxnn3023/zmN/nmN7/JqlWr+O1vf8v9998/SDiMJwVuDUXSUR2DC/NGIjEEaaLMiUYqKEzgddnJy3JS3zr0zT1e9R4gYatYDYAkyTgqLwI1RuzYpmHPW9Ndxw/f+3/sbztEZf48/vmsu6nImW75swgEAoEgNSZFDQHAggULBoX8YbD3wI033siNN9445Dluvvlmbr755jFZnxUKnUbuPaqYFARJt8KJiRAkBUHh8BGCxPZ91e0EwzE8rj4zKC3QgdpwBKV0LrI3L/m6bdZZRLY8itpwGBZfNuh8b53Ywv07fk9ci3PVzEu5uuJSERUQCASCcWLSCIIzkTy7Uakfks0VBiZqDiYqZdDYbhRblhUMXdSZYGqRIQjqWgLMK89Nvq7W7QP0ZHQggeQrQHJlobaeGPC6pms8dfwFXql5E7fNxecW38riwsnhJyEQCAQfFIQgGENybIYgCGJSELh8IMloExQhaOsO47Qr+Nz2EfcrzTcEQ0tnaKAgaK8DQCmqGLC/JEnIRRWotXvQwj3IrixC8TC/2/9H9rUdosxXzOcW3UaJd2LnIwgEAsEHESEIxpAsyWil7FEH9/GPhCTJSO7sCYsQtHeHyc92jjoToCDH+FxtXQNbRrVeQSDnTxt0jFI00xAELSdoL5zKr3b/lsZgMwvy5vL1i+4g1KVl6FMIBAKBwAxCEIwhHkIAdKrmWx8ldw5aV2OmlzQqoUicQDhORdnorZKFOUbko7X7dEFQi5RViOQYHBlRCo2owYmGPTxw4m/0xPxcPO08PjznQ/gcXkKIvmWBQCCYCIQgGEOcmpGLb4+atx+WPDnQdhI9Fkaym4swpEN7r0PhUO6Ep1OQbQid/hECLdSNHurGNmPFkMfIRTM54HHwp549xCW4ed51XDTt3AysXCAQCATpIATBGGKPG/38rRHzlznZehjsQsoZR0HQ+7SfuNmPhN2mkON1DBQEI6QLAN7pOMRjZTnY0PjHJZ9iadGiDKxaIBAIBOkierrGEDniR9MlWoLmL7PsMUL22jh7EbQlBEGKIqQgx0VbdxhN1wHQ2mqBwYJA13WerXqJR4/8DS8K/1jXwWLv1AyuXCAQCATpIATBGKKFugniojukmj62L0LQmeFVjUxfhCA1QVCY40LVdLr8xpwGNRkhKE/uo+kajx15khdOvEqhK58vZy2nPBJHO639UCAQCAQThxAEY4ge6iYsu+kORNF7n6BTZaLMidq6Uq8hgD7h0NplFFBq7bWg2JBzDIfIuBbnoQN/5q36TUz1lfHVVV+gpNTwGFBbTmR49QKBQCCwihAEY4SuxiEaJKp4UTWdYCRu6vikOdE4pwzau8NIQF5Wap0Rhf1aD3VNQ+uoR86diiQrRNUo/7P3IbY17WJWzky+suIOcpxZyXSC1nFqrD6GQCAQCEwiigrHCD1stM8l5hh0B6J4XSMb/fQnMRBptEFAmaatO0yOz4FNSU0rJmoNWrvC6N1NoMaQ86cRUaPcv/t/OdJ5nIUF8/nc4ltxKEa3heTNA8WG1t08Zp9DIBAIBOYQEYIxIvFkrzuNG3t3IGrqeMllCInxFASaptPRE0m5fgCgoNeLoK07nKwfiOWV8otdD3Kk8zjLixZzx5JPJsUAGMZLcnYxWneT6VSKQCAQCMYGIQjGiGSov1cQ+EMmUwZJQTB+Rj1dgSiqpqdcPwBQmN0XIdC6mwlLEr8OHuR4VzUri5fymUUfxyYPDkTJ2SUQDaFHxjcCIhAIBIKhEYJgjEgIgkT7YCAcM3W8JNvA7h7XCEGbyQ4DAKfDmHnQ1hUm2N3Eg1NzqQ63srpkOZ9a+DEUWRnyOCnbmFegdzWlv3CBQCAQpI0QBGNEQhDYvLkA+EPmBAEYUYLxfIJOtBzmp2BK1J+CHBdtfj+/jh6n1mVnbfFyPrnwo8OKASDZhSDqCAQCgWByIATBGJEwFHJkGe2DAUuCIAs93DNueXYrEQKA/Gwb0qz3qJFjrAjE+MSijyJLI/9oydm9gkBECAQCgWBSIATBWNH7ZO/OygWsRwhQ4xCPZHJlw9Ju0oMAIKbGaMx5CyW7gyX+KP8QzRpVDADIOUbKQEQIBAKBYHIgBMEYkcj9u3NygTQEAePXaWDWtjiuxfnNvkfolOqho4CPNnZizypM6VjJWwCygtYtIgQCgUAwGRCCYIzQIwFAwuPLQsJ6ygDGTxB0BaIosoTXNbo9haZrPHTgz+xvO8RU50wKq2egAJIvRUEgy8hZRehdIkIgEAgEkwEhCMYIPeIHpwfFpuBx2fCHzbUdAkhOr3GucWo97A5EyfE5kCRpxP10XefRI0+yo3kPs3MquKH8H8iXDOtiOcUIAYCUU4Ie8feKJ4FAIBBMJEIQjBF6OIDkNEL+PrfdYsogESEYe0Gg6zpdgSjZHseo+z5X/TLv1G9mqq+Mu5Z9ioJsL/mKEcWQsgpSfk85W9QRCAQCwWRBCIIxQNd19IgfyWU84fvcdgKhmPkBR4kagnF4gg5FVOKqRo53ZEHwRu27yamFX1h2O26bm1yfg3zZEARyiikDEJ0GAoFAMJkQgmAsiEdAU5MRAq/bjqrphKPmxiCPp1thV8DoMMgeQRBsb9rFX44+RZbDxxeXf46cXhdGu02hyB4EzKUMRKeBQCAQTB6EIBgDEkWAiRqAxFAjs4WF41lUmJi1kOMbWhAc66zm4QOP4lJcfHHZ7RR5BqYGCpUAYd0ODk/K7ylSBgKBQDB5EIJgDEiE+BNP+D63IQj8Zu2Lx7HtsKtXEAxVQ9AcbOHXex5CQ+f2JZ9gWtaUAdt1XScHP22qj1hcS/k9JW++cXygPY2VCwQCgSATCEEwBvRFCBKCwGjjM1tYmDh+fFIGiQjBQNtifzTAL3f/lkA8yMfm30Bl/rzBB0cCOIjSrnnpNDHVUbI5kFxZaH4hCAQCgWCiEYJgDEhGCJx9RYVgQRAo4zfgKJky6FdDEFNj/M/eh2gJtXH5jIs5Z8qaIY/V/G0AtGs+uvzmXBUlXz66v12MQRYIBIIJRgiCMSAxkCgR8ve6EzUEFrwIxmnAUTJl0CsINF3jkYOPUdV1glXFy7hm1hXDHqv1tAKGIOj0px4hAJC9+aBGYZJ4Eew/0c5PHt3F8VNdE70UgUAgGFcmjSA4cOAAN910E8uXL+e6665j165dQ+63YcMGli1bxooVK1ixYgUf+tCHkts2btzIhg0bWL58ObfccgvV1dXjtPqBDCoqdFsrKoReQTAOA45OjxA8U/US25t3MytnJrdW/sOI8wn03ghBh+ql02yEoLeOIBFlmEj2VrXx//6yh33V7fzfP+1kz/GJX5NAIBCMF5NCEEQiEe68805uuOEG3nvvPW699VbuuusuAoGBT43hcJiqqipef/11du7cyc6dO3nuuecAaG1t5Ytf/CJf/epX2bp1K+eccw5f/OIXJyQUPaio0GUtZWCcI2tcBhx1BaLYbTIuh8LGU+/x8snXKXIXcMeST2JX7CMeqwc7jXPobvOCwDc5CguP1Xfx87/uRZLg2nNnouvw87/u4Xi9iBQIBIIPBpNCEGzevBlZlrnllluw2+3cdNNNFBYW8uabbw7Y78iRIxQWFpKfnz/oHC+//DKVlZWsX78eh8PBXXfdRXNzM3v37h2vj5EkmTI4vYbAZJcBjF+nQXcgSo7XQXX3Sf58+Am8Ng+fX/YZfA7vqMdqvYKgW3PTZTZl4EtECCZWELy8tYa4qvGFDy/m+vNn8fnrF6NqOq/tqJvQdQkEAsF4MSkEQXV1NbNnzx7wWkVFBVVVVQNeO3DgADabjY985COcffbZfOYzn+H48eMAVFVVDTiHoiiUl5cPOsd4kEwZnN52aCVC4Bx7QaDrOt2BKN6sOL/Z+wiarvGZxR+n2FOU2vFB4ym6W/NYThlMZIQgFImz+3gbZQUelswy/BWWzi6gONfN9iMthCLmaz8EAoHg/cboY+3GgWAwiNvtHvCay+UiHA4P2nfJkiV87Wtfo7CwkF/+8pd87nOf4/nnnycUCuHz+Qbs63a7CYVCw75vXp4Hm03JyGcoKspK/r1eC6NKMkVTipEkCV3XsdtkIjFtwH6p0FFQQAeQ7YzjMXlsqvQEo6h6nJ6S9whFe7ht+U2cP39lysfXRrvRXV6cbhf+cNzUZ4zZp1MLOOJGa6XZ65MJ3thRRyyucfGqcoqLs5OvX7p2Bn986RBHTnVz6ZoZ474uq0zENTwTEdcxfcQ1zAzjdR0nhSBwu92Dbv7hcBiPZ6Dr3Uc/+lE++tGPJr/+p3/6J/7whz9w8ODBIc8RCoUGnaM/HR3BDKze+Ga1tPR5BcR6upCcXlpb+57qPS4bXT2RAfulQlQ1ivw6m1sIZI+NH0Fdix/7zAOElFbWlK5kTd5ZptYZ625HdueQ7bHT1hkydayu2gGJUJsxz8Ds9ckEr245CcCiGbkD3n95RR5/BF7ceIJlFYPTVJOR038WBdYQ1zF9xDXMDJm+jiOJi0mRMpg1a9agjoDq6mrmzJkz4LVHH32UjRs3Jr9WVZV4PI7T6Rx0DlVVqampGXSO8UCPBJL1AwmsTzwc+5TBuw2bsBXVky0V8bH5N446/rg/uhqDSADJk0Ouz0kgHCcWT31mg6TYkNzZE1ZDEAjH2FvVRnmxj7KCgd+zwlw3C6bncri2k5bO4SNNAoFAcCYwKQTBunXriEajPPLII8RiMR5//HFaW1s577zzBuzX3NzM9773PRoaGgiHw/zgBz9g1qxZLFiwgMsuu4x9+/bx8ssvE41G+dWvfkVpaSkLFy4c189iTDoMgGtg+sLnshOMxFG11K19YewHHB3pOM7bra+gxxycl7UBxygdBaeTqB+QPLnk9s5BMOtFIPny0QMd6Lq5a5MJdhxpQdV01lQWD7l93aJSAHYeaRnPZQkEAsG4MykEgcPh4De/+Q3PPfcca9as4fe//z2/+tWv8Hg83H777dx///0A3HnnnZx33nncfPPNrFu3jpqaGn7xi18gyzJFRUX88pe/5L//+79Zu3YtGzdu5Oc//7mpp92MEAuBrg0ZIQAIhM0VqI1lhKAt1MGD+34PSESPrqA0q2DUY04n0XKYiBAA5jsNvPmgxVED3abfP10O13QCsHzu0AWUlTPzADhaJ9oPBQLBmc2kqCEAWLBgAX/+858Hvf7AAw8k/2632/nGN77BN77xjSHPcfbZZ/P000+P2RpT4fQOgwT9zYmGGiA0HFJv258eyUy9Q4KYGuM3+x7GHwswTzqP3X4fOV7n6AeehtYbIZA9ueQoxvFWvQjU7lawl5heQzpUN3TjdiqUFQxda1KQ7SIvy8nRuk50XR9WYOqaSuzg68gFM7CVzh3LJQsEAsGYMCkiBGcSfXMMTksZWJ1n4EoIgsxGCP567Flqe+pZV3YWvoBRZ5E9zOjjkeiLEOQmXQ67TAw4gj4vgnj3+DoDBsNxGtqCzCzNRh7mRi9JEnOn5dAdjNHcMXQdga7rRN55hMi7vyf09PcIvvhfaD0ixSAQCN5fCEGQYU63LU7g7Z14aHqegeIA2ZbRCMF7jTt5u34TU31l/MO86+kK9toWm4hcJOifMkjMQeg2KQgkr5GqiPfORBgvTjQaKYqKsuwR95s7LRcYPm0Q3fUssUNvIOeXo5TNR63ZTfj132R0rQKBQDDWCEGQYU63LU7gcRqCIBgxGSGQJCSnN3nedGkMNPPHw3/FpTi5ffEncCh2/MEYDpuM02Hek0HvlzLI9hhRkJ6g1QjB+AqC6oZUBUEOAEfrOgdtU1tPEn3vr0i+AtxXfRX3hn9GKV+K2niEeOORjK9ZIBAIxgohCDJMX4TgtBqC3nkGQZNFhdCbNsiAIIioUR7Y9whRNcrHK29OOhH2BGNkecx1FyTQ+qUMsi2mDCSvUbg33imD6gajc6OibGTTj2lFPlwOZcgIQeyo0QbrPOfjyN48JEnCseIaAKI7n83wigUCgWDsEIIgw/TVEAxMGbhdvRECK4LA4UWPBtJqy9N1nUcP/42GQBMXTjuXlcVLk9v8oRg+t/l0AfRGCGwOsLvwuu3IkkRP0GQUxJMDSKj+TktrsEp1Qzc5Pgd5WSMXU8qyxJypOTS2B+nuF/3QNY34sc3g9GIr77uettK5KKXzUGv3oLaeHLP1CwQCQSYRgiDDJAcbnd5lkBAEVnzxnV7QdYgNtnJOlU0N77GlcTszssr58Jy+kdHRmEokpuKzGCHQg51InlwkSUKWJLI8dvM1BLINyeVDHUdzoo6eCB09EWaVZafUmppIGxzrFyVQTx1AD3Vhn3UWkjKwYcexfAMA0X0vZ3DVAoFAMHYIQZBh+iIEA9vYkjUEViIEvdEGPWwtbVDXc4rHjjyJx+bms4s/jl3uu3kluh6y3OYFga5p6OFuZE9u8rUsj2PAU3SqSJ5c4v4O08dZJdX6gQSzphqCIFGICBA7tgkA25x1g/ZXypcgeXJRa/ZMiOGSQCAQmEUIggwzXMrA40oYE1mZeNgrCKLmBUE4HuHB/b8npsW5beFHKHAP9ORPCAKfFUEQ7gZd7w35G2R77YSjKtFY6vbFAJI3Fz0aRk8jCmIGs4KgvMiI+NQ1G98DPR4lXr0dyVeAMoTvgCRJ2MqXoId70FpOZGbRAoFAMIYIQZBpIkGQJLC7BrzsdhoV/FZG6aYTIXj86NM0B1u5ZPoFLCkcbOPckxAEFlIG/T0IEiRbD01GCSR37oBzjjWnWo1rOa3YN8qeBtleB9keO3UtRkpIPXUIYmHss9ciSUP/M1LKlwAQr9ubgRULBALB2CIEQYbRo0FweAbdJBRZxuVQTFsXQz9BYLLTYHvTbjY1vEd51lSunXXlkPv4g2mkDPp5ECRIuDCaLSyUe8+RcD4caxrbg3ictmSrZCpMK/bR2hUmFImjNh0FQJmyYNj9bVMXgSQTrxWCQCAQTH6EIMgweiSA5BjaBtfrsllvO8ScIGgLdfCnw3/FIdv59KJbsMlDu1QnUwYWTIn62xYnsNx62HsOPTD2dQRxVaO5I0RpgcfUrItpvWmD+pYAatMxAJTi2cPuLzm9KMWz0ZqPj+m0SoFAIMgEQhBkGD0aHFQ/kMDttJs2JoL+8wxSEwSqpvK7A38iFA9z87zrKfEMPbgH+kyELNUQJCYduvsiBAk/gx7TXgS5A845lrR2hVE1nbL8oYXbcCQEQW1zF2rzceS8qcN+rxMo5UtA14nX77e8XoFAIBgPhCDIILoah3h0UIdBAq/LRiiiomm6qfOajRC8dPI1qrpOsKJ4KevKVo+4b1pdBiGjME9y9xXm5VisIUhEGbRxqCFobDNsoEuHGWg0HOW99QY99dUQj6KUzBn1GNt0w59ApA0EAsFkRwiCDJLsMBgmZeCx6EWQiBCk4lZ4vPMEz1e/Qp4zl1vm3zBqSDyR67fiVKiHDae//oIgy5OYZ2DFnGh8igob2o3rWJo/8tP96ZQVeJAkkFuPA6QkCOSC6eDwJGsOBAKBYLIiBEEmiRpPnsOFka0KAlKMEARjIX534E8AfGrRx/DYR38CTkQIvJbaDnsFQT8Tpr6iQrNdBr2CIDT2KYOG3gjBcCOPh8NhVyjN95ATqgNAKRl9zLEkyShFFehdTaKOQCAQTGqEIMggyRv2cBECZ2Kegcmn597zjSQIdF3nz4efoD3cwZUzL2FObkVK5+4JxnA7bdgU8z8KeqgbHG4kpU9MZHuNv5suKrQ5kF0+9ECn6XWYpbE9iCxJFOe5TR87tchHudSE7vAi5ZSkdIxSPAsAtfWE6fcTCASC8UIIggySGFE8aoTAZKeBJCtgd49oTLS9aRfbm3dTkT2Dq2ZekvK5/aGopfoBAD3Ug+QaaOxjtym4nYrpCAGAkpU3bjUERXluSyJodq5KgRIgmD0j5Q4FpahXEDRXmX4/gUAgGC+EIMggejJlMEoNgSUvAs+wxkSdkS7+fORJHIqDTy78KIqc2hhjXdeNwUZW6gd0DT3cg+QePCkw2+MwPc8AwObLg2gQPW7+2FTpCUbxh2KmOwwSVNiNeQvNSmnKx8jFRrRGCAKBQDCZEYIgg4xaVOi0PuBIcvqGTBnous7vD/6FUDzEDXM2UOQpSPmc4ahKXNUttRwSCYKuIbsGC4Isr4OeUMx0N4XiM8Ygj2XrYWO7tQ6DBPm6MaK5Lp6X8jGyJxfJV4DWUoWum7smAoFAMF4IQZBBhptjkMDrStQQWDQnikeM1sZ+vHNqMwfbj7Awfz7nTVlr6pzptBxq4cEthwlyPA50HfwmayX6BEGn6fWkSrKg0GKEwBNuBuCY31yHglJUgR7qRve3WXpfgUAgGGuEIMggeopdBpYGHA1RWNgcbOWJo8/isbn5eOVNplz3oL9LoRUPgkSHwdARAsB02sDWKwjGso6gMdlhYO6GnkDvOEUEO8c7h3Z+HI5kYWGLSBsIBILJiRAEmSRRVJhhHwIwUgbQN/FQ0zUeOfgoUS3GR+Z/mFxnzkiHD0nCg8CSS+EQpkQJsi26FY5HhKClMwRAkYUOA12Lo3U10KUU0BOKJwVVKsi9FseijkAgEExWhCDIIMmn9+GKCp3pFRUC0FtY+ErNm1R1nWRV8TJWlyw3fT4wOgygz0zIDH2mREMUFSbmGZjsNBiPGoKWrhAOu2xqqFECrasJNJWI12g3TEQbUkEpnAGShNZSbfp9BQKBYDwQgiCDjNZlkE4NAf0iBPX+Bp6tepkcRxb/MP96S2uFNCcdJlMGQ0UIes2JTLoVjkfKoK0rTGGO23R6BUBrrzf+kjsV6CtQTAXJ7kLKLkFtrxOFhQKBYFJiLhEqGBE9EgSbE2mYyYIOu4wiS6aNiaBPZMRCPTx04HVUXeXjlTfjs1vLhQP0pFNDkCwqHKKGIJEyCE2ulEEwHCcQjjN7qvn0CoDWYTgUeoqnA0FTggBAyZ9GvHoberATyZt6l0Km0XSdnUdaqWrooqMnwvoV05gzzdo1EQgEZw5CEGSQkSYdAkiShMdls1hDYJz35Y791AcbOHfKWhYVLLC8Vki3hmD4okJf0r7YnPCRHS6wu5L1CZmmtcuoHyjMcVk6PhEhyCufBewzLQjk/HKo3obWVos8gYLg8deP8+LWmuTX2w61cPuGStZUpua8KBAIzkxEyiCD6JHAsOmCBB6njYClGgIvpxw2XglWk+fM5cNzPmR1mUmSbYfp1BAM1WWQiBCYFARgFCmOnSAIA1CYY76gEEDtqAenl6yCQlwOhSbTgmCacZ72OkvvnwneO9TMi1trKMn38LWPreBLNyzBpkjc/9R+thxomrB1CQSCiUcIggyh6xpEQ8N2GCTwuGyWagg0h4u/lGShoXPLghtx26w95fbHH4wi0VfsaAZjjoEHSRl8rM9lR8L8gCPoEwS6rpk+djT6BIH5a6fHo+jdTSh5U5FlmdJ8D00dIVPmS0qvINDaa02/fyZoag/y2+cO4rQrfPGGJVTOyGPFvCK+8YlV2G0yj71+jEhMnZC1CQSCiWfSCIIDBw5w0003sXz5cq677jp27do15H6//OUvueiii1i9ejW33norR44cSW677777WLx4MStWrEj+d+rUqfH5ANEQoI+YMgDwuOzEVY2oyV+8r7Tvo8FpZw1ZLCyYn8ZC+wiE43hcNmTZfIGdYVs8uKAQQJYlvG67pQiB7M4BXRuTyYCtvS2HhbnmBYHW2QC6nnzKL833EFc12rrDKZ9Dyi4CmwNtgiIEL2w5SSSmcusV85ha2PdzWl7s4/KzyunoifDKtokRKwKBYOKZFIIgEolw5513csMNN/Dee+9x6623ctdddxEIDLTqfeKJJ3jqqad45JFH2Lx5M+vWreOOO+5A04ynyQMHDvDjH/+YnTt3Jv+bMmXKuHyGxGCj4SYdJrBiX1zvb+DFU5vIjqtsiFpz2BsKfzhmbexx7xyDoWyLE2R57NYiBJ6xG4OcTspA62wAQM41fp5Ke50OTXUaSDJy3jS0zlPomoVOkzTwh2Js3t9EYY6LsxcOnsNw1doZ+Nx2nt980tL3TSAQvP+ZFIJg8+bNyLLMLbfcgt1u56abbqKwsJA333xzwH4dHR3ceeedlJeXY7PZuO222zh16hSNjY1omsbhw4eprKyckM+QMAwarYbAm3QrTO2GoGoqvz/4GKquckOLH3ck9SfS0QiE4slWSDPokQDo+rARAjDqEgLhOKpmLvQvuXsFQTDzdQStXSFcDiX5PTCD1mXk1+Vc42aamIVgxosAetMGmorW2Wh6Denw9p5TROMa61dOGzIi5HHZuOacmYQiKi+/N3KUQAt2ETvyrjBZEgjOMCZFl0F1dTWzZ88e8FpFRQVVVQN/4Xz2s58d8PVrr71Gbm4upaWlnDhxgnA4zA9/+EN27NhBaWkpd999NxdffPGYrx9GH32cwN17MwqlKAheqXmTmp561pauYkHtWyOOQDZDNKYSVzW8bov1AwxdUJggUVjoD8XJ8aZetJgQGZmOEOi6Tms6HgTdvYIguxiAkjxDEDR3hEydRy4oN87XXpesKRhrNE3n9R31OOwy5y8rG3a/C5dP4cl3qnl3bwMfPn/WIOGgxyKEXv0las0ewKidsM09B+fajyB7RNuiQPB+Z1IIgmAwiNs9MIzrcrkIh4d/Gt66dSvf/va3ue+++5Blme7ubtasWcPtt9/OkiVLePPNN/nKV77CY489xvz5Q+fc8/I82GypjQoejSyXRgjIys8jp2j4G2VxgWEwZHPaKBphP4C6rgaeP/EKua5s7jj7Y7Tv34keC416XCq09bbgFeR4TJ8vFFQJAt6CQvKHObY43wu0YHfaTZ0/t7SEJsAjR8jNwOdM0B2IEo6qTC32Wbp+9cE24rJCccVMJFnB4zPqELpCMVPnC1XMpWEjuMJNw167dDl9PVsPNNLaFeaKs2cwszx/xGMvWDGVlzafpL4zzMr5xcnXdV2n+cnfoNbsxlk2G8/8swkc2kT06EakjhqmfuZHyHbnmHyeiSIT/84+6IhrmBnG6zpOCkHgdrsH3fzD4TAez9Dh9yeffJLvfOc7/Nu//RvXXHMNAMuXL+ehhx5K7nPppZeybt063njjjWEFQUeHuXDvcBQVZdHVYkyxC8RsRFt6ht1XjxvFhA3NPbQUDR9N0HSNn23/HXEtzj/M/TChbg3N5kbrbqNlhPOnSl2zUbSnSLrp88UajXB3SHcOe6yt9+HyZH0nHltqT+RFRVn0xHo9DFqaiWXgcyY40WhENbLcNkvXL9p2CimrkNZ+KQKvy0ZdU4+p82mKMZ66p64KNYOfL0FRUdag9by29SQAZ80rGnWtq+YW8tLmkzz/ThXl+X0iPbrnBSIH3kUpmYv96nuJKzYccy5Bf/cRYgdfp/75/8V1zscz/nkmiqGuo8Ac4hpmhkxfx5HExaSoIZg1axbV1QM93qurq5kzZ86gfX/xi1/w/e9/n1/+8pfccMMNydc3bdrEn//85wH7RiIRnM5xemqJjGxbnCA54GiUlMEbte9woruG1SXLWVa0yDi3wwNqDD2eftFXYuKipRqCEUyJEvR5EZhba7KGIMNeBK2d1gsK9WjQKKLMHmjcU5TrprUrhGbCilh2ZSG5s9E6xqf7RdN09hxvI8frYGbZ6E8Zs6dkU5LnZseRluTPqNbVSGTLX5A8ubgu+0Ky1VSSZZzrPoacO4XYvr8Tr9s/pp9FIBCMLZNCEKxbt45oNMojjzxCLBbj8ccfp7W1lfPOO2/Afn/961956KGH+OMf/8i6desGbJMkiR/+8Ids27YNVVV55pln2L17N1ddddW4fIbkYKMUfAiAEe2L20LtPFP1El67h5vmXpt8PVGfkJiZkA7+kPHL3lKXwQimRAmyLLoVSp6xqSFo6U2RFFnwINC6moG++oEExXlu4qpOZ0/E1Pnk3DL0ntaMCLvRqG7opicYY9mcAuQUaickSeLcJWXE4hrvHTLqJqJ7XgRdM27+ntyB+9scuC7+R5AUwu88jG6yiFQgEEweJoUgcDgc/OY3v+G5555jzZo1/P73v+dXv/oVHo+H22+/nfvvvx+AX//61wQCAW666aYBXgPHjx/n7LPP5pvf/Cbf/OY3WbVqFb/97W+5//77KSkZHzvWvsFGo/gQOHsHHA3TdqjrOn86/ARRLcaNc64hy+FLbktEH5ItjmkQTEYILBQVJgWBb9h9LEcIbM5e++LMCoJEy2GBFUGQKCjMGRwhgL6Ryqki55YBerJzYSzZfbwVgGWzC1M+Zt0io5Ni+5GW3o6Cd5CyirBVrB5yf6VoJvb556J3NxE/sT39RQsEgglhUtQQACxYsGBQyB/ggQceSP79pZdeGvEcN998MzfffHPG15YSNgcotlE96kdrO3yvaScH24+wIG8ua0pXDtiWdEGMpN9pkHh/SymD3hHMIwuC3ghByIp9cU7GRyB3dBtP8ZYEQaLlcIiUARidBvOnpz6bwBAEhreB0tt1MFbsOtqGTZGpnJn6+gpyXJQX+zh0soPQnqOgxnEsvRJJHr4A1770SmKH3iK65wVsFastdXIIBIKJZVJECM4EnGtuwvuRH6bVduiPBvjr0Wewy3Y+tuCGwb9UkymDTAiC3giBlbbDiFGQmFqEwIJboScHPdyT0fBzR08Eh022ZNOsdfemDHIGpgySEYIuKxEC0LoaTK/FDG1dYepa/CyYkYvLYe5zL5tTgKxGiR14DcmVhX3+eSPur+ROwTZjBVpzFWrT0XSWLRAIJgghCDKEJNuQfQWj7pe4IQWGqCF44tiz+GMBNsy6nEL34HMlawgykDIIhNIoKgz7QXEY4f1hSExQ9FucZ4CuJ4VHJujwR8jNclp6ctW7m0GSkXwDw+7FyZSBObOo/hGCsWRPldH5YiZdkGDZnEIWOupR4iHsCy4c8XudwL7MqNeJ7X7B9PsJBIKJRwiCccamyDjtyqAagoPtR9jSuJ3pWVO5eNrQT2N9NQTpRwj84TSKCiP+EaMDYHxOj9NmeeIhkLG0QVzV6AlEyfVZ6zjRupqQfAWDBjnlZTlRZMm0OZHkKwDFPuaC4HBNBwCLKkb2HhiKirJsVrsNx0Jl1pqUjlFK5iIXziResxttjCZWCgSCsUMIggng9ImHETXKnw49gSzJ3LLgJpRhcrWSI3NdBukVFfqRXCOnRmDyzDPo8kfRMW7gZtGjIfRQ16CCQjCGOBXmuEwXFUqSjJxTitbZMCZTHcEoTj1a10W2x05JnvlWS0mNUmmro1nNojaamguhJEnY554Dukb8+BbT7ykQCCYWIQgmgNMFwXPVL9MWbmd9+fmUZ00d9rhMdhkEQnGcdgWbYu5HQFfjEAsjOUeOEABkeR34Q3FTffrQf55BZgRBp98oKMyzECFI1g9kD92tUpTnxh+KETIxrAp60wbxKHqgw/SaUqGtK0xHT4S503ItpUniNXuw6TF2RWey+3hbysfZZq8BSSJ2dJPp9xQIBBOLEAQTgNdpIxQxbpQ1PXW8VvM2ha58PlRx2YjH9dUQZKaoML2CwtFNbrLcdjRdH9WE6XT65hlkJuzc0esTkGshQtAnCIqH3J5e6+HY1REcqesEYG55rqXj41XvAbA7NpP9J9pTPk725KJMXYTWUoXWNb4DnAQCQXoIQTABeFx2dCAQjvDHg4+jo/OxBTfiUEYeApTZtsOY9YJCRu4wSNBnTmQubZAYlKNlKGXQkYgQWEkZ9Bh9/FL20IV5xf1aD80w1oLgaJ1x7eZOMz90SI9HidfsRsouwVk0nepTPaYiIPY5hmnYZIkSaLqObjJKJRB8EJk0PgQfJBJuha/WvEOt/5QxyTB/7ugH9gqCdGsIVE0jFFEt1w/A6AZMMLD1sGz0BowkmS4qTDgJWkoZ+I1wuewbWhCk3Xo4VhGC2k6cdoXpJaMLt9NRTx2CeAR7xSoWhPM53tDDkdpOls1JrVvBVrEK3nmI2PHNOFZdP2GeBN3BKC9uqeH1nfVomk62x87Zi0q55pyZOOyZGWomEJxJiAjBBOBx2pCcQV4/9Ro+u5cb5m5I6ThJlsHhTjtlEEyzwwDGNkKQ6XkGiQhBblbqY5gT6ElBMLSisdx6mGO4AY5FWL0nGKWhLcjsqdkosvl/4vF6YyaBMm0xC2cYhkYHT6Ze6yDZXdjKl6J3NY15J8VwHKnt5J/v38SLW2pwORSmFnqJxDSe23SSb/12K9UNogtCIDgdESGYANxOBfuMA8T1ODfNvRmfffSn7QSS05t2UWGfS2E6EYJUBIE1cyLJ5gC7O2OCIBEhsNJ2qPnbwOZMmkKdTmGu4XzYYnJypmR3IvkKxuSGeaw3XTBvWq6l49X6A6DYUUrmMFs3Ck8PmRAEALYZK4hXbyN+cgdK3hRL67BKXbOf//f4HmJxjY9eMpeLV0zBblOIRFX+9nYVf99Wy08e3cU3b11FWUHq//YEgjMdESGYADptJ1FyW5ninMHqkuWmjpUcnrRTBmmbEpFqhMDaPAMwhhxlqu2wwx8ly2M33VEBhiCQfQXDhr1dDhvZXofpCAEYUQI90IEeNZduGI1j9cZ1m2OhfkALdqG116KUzkOyOXDYFeZOy6Gm2W/q+2ibvgwkmfiJnabXkA6d/gj/+dguQpE4n/lQJZefVY7dZqQHnA6Fj14yl09fVUkgHOe/HttNd2Doz6TrOvG6fUT3vkx09wvET+4asxZRgWCyIATBOBOKh9gffRtdk1nhvth0flVyeiEWRtfMVe73p8+2OJ2UQSpdBtYmHgLI7szYF+u6MY3QSv2AHgtDJIDkG9nYpyjXRVt3GNXkWvssjDObNjjRaAyfmlmabfpY9dRBAJSpi5KvLehNGxyu6Uz5PJLLh1I6F625Ci2Y+nHp8udXj9Llj3LzxbOTQ5pO57ylZVx77kxau8L8+pn9gwoO441HOPXQNwk9/2Mim/5IZMujhF76KcG//Aux3u4LgeBMRAiCceaZqpcJaQHip2Yhx8wXfCU6DdJJG2QkZWAmQmBpwFGvfXE4vbRBKKISianWWg5HKShMUJTrRtV02rvNj0GGzBYW6rrOicYeSvI9yeJVM8TrjPoB27SFydcSdQQHTKcNVgI68ZrdptdhhQMn2tl6sJlZU7K5Ys30Efe97rwKls4u4MCJDjbu6xNkserthJ75AZH6I9hmrsJ16RdwXf5lbPPOR+tuJvzKL4jseFp0LQjOSEwLgrq6OuLxOLGY+V/yH3ROdtfyVt1G8uz5xBtmDTsCeSSS1f3pCIJMpAxS6jIwIgTDhWVHos+tMD1BkF7LoSEIRosQFE8iL4KGtgChSJyK0tEjOKej6zpq/X5wepEL+m6oM8uycNoVjtR2mjqfbeYKAOIndphei1niqsYf/n4ECbj18vnIo0TeJEniE5fPw2lXePS1Y3QHo8RP7iL86i9BsVP28X/HffmXsM86C/vMlbgv+iyem76L5Csguu0JIpv/LESB4IwjJUGg6zq/+MUvWL58OZdffjkNDQ18/etf55vf/KYQBimi6Rp/OvwEOjpXTv0Q6HLSPtgUCbfCNCYephUhiPhBkpMtkCNht8m4HIrFeQaZEQQZaTnMGj1CANA8CQTBsd6b9kwrgqCrCT3Qjm3qQiSp71eDIsvMnprNqdaAqToCObsYOW8Kav0B9Lh5UWiGd/Y00NAW5KIVU5mR4mcvzHHz4Qtm4Q/FeOHlrYRe+SVICu6rvop75pJB+yu5U/Bc96/IeVOJ7X2J2KE3M/0xBIIJJSVB8L//+788/vjjfPe738XhMJ76rr76at544w1++tOfjuX6zhjeqttEbU89a0pXUllgeA6kEyFIK2UQSqOGIOxHcnpTrn3I8tjpCVmceEj6XgTpuBQmWg6lUaZYWnUrlDy5YHdlVBAc7RUEqd4U+xNvPAyAUrZg0LZ5vY6HCcOjVFHKl4IaQ204ZHo9qaJpOi9urcGmyFx77kxTx166ahrlhW4W1D8FahTXRbdjK5s/7P6yNw/3lV8Bp5fIu79HbalOb/ECwSQiJUHw+OOP861vfYtrrrkmeSO47LLL+I//+A+ee+65MV3gmUBnpItnql7EY3Nzw5wNydyuWUtf6F9DkE6EwHrKgPDokw77k+Vx4A/GTIdX5QwNOEp6EKRlSpSiIDA79VCSkHPL0Lqa0i6eTHCsrhMJmF5iXhCojccAUEoHm2QlWhhNpw3KlwIQr91rej2psuNIC80dIc5dUkqOye+zLEt8alYDs+wtnHDMwz579MmOclYR7vV3gKYSeuUXRvGpQHAGkJIgqKurY86cOYNer6iooL09dZ/zDyqPH32GsBrh+tlXk+Xw4XIoSJJFQeBMf+JhMmVgcpaBrmvo0UBKHQYJstx2VE03PfwnkTLQ0owQdKZTQ+BvA0lC8uaOuF+uz4HdJltrPcwtAy2O7m81fezpaLrO8bouSgs8uJ3m00Fq01Gwu5Hzpg3aNmtKNoosmRYESuk8sLuI1+4xvZ5U0HWd5zefRIJRCwmHQgt0UFj9IkHc/LppecqGRbbypTiWXYXe00pk299Mv69AMBlJSRBUVFSwbdu2Qa+/9NJLVFRUZHxRZxL72w6xs3kPs3JmsG7KWYDxZOhx2pJP6mbom3iYXoRAkSWcZu1bI0HQ9ZQKChP0uRWaNCfK0ICjZA2BxS4DyZOHJI98c5UkiaJcN82dIfORkIRjYecp0+s7nab2IKFI3FK7oRbuQe9qRCmZbThinobDrlBRlk1Nk9+UuJMUG7YplYZrYe+gqExyuKaTE409rJxXRGn+6HUtpxPd8TSoUcKLriWgu3jy7dRTAI5V1yNlFxPb9zJq60nT750pdF1nf3U7T79bzf1P7ePB5w7w9LvVHKvrEoWPAlOk9BjxpS99ia997WscO3YMVVV5+umnOXnyJM899xw/+tGPxnqN71uiapRHDz+JLMl8dP4NyP0Ktbwue5o1BGkIglAcr8tm2gPBjG1xgv5uhSUjF+sPIFOCoKMngk2RTRdQ6pqKHuhAKZ6d0v5FOS5OtQYIhOP4TNRmDCgsnL7c1BpPJ+k/UGY+XaAl0gUlw8/UmFeey7H6Lo6f6mJxRerDKZTypcRP7iReswfH4ktNr20k3txtCKnLzio3fazW3Uzs0FtIOSVMX3c586p3sbeqjboWP0VFo19DyebAdd4nCT3/fwm//Ts81/3bkGJqLNl5pIUn36mmttk/aNuTb1czoySLa8+dyYp5ReO6LsH7k5R+S1566aX89Kc/5X/+539QFIWHHnqIOXPmcP/993P++eeP9Rrft7x44jXawu1cOv1CpvrKBmxzu2x0tJrrWweQHBloOwzHTN20EiRaDknBtjiB5XkGNocxtyHdokJ/hLwsh3nxE+wEXRu1oDBBUV5fYaE5QWDY+maisPBkryCYYaV+oOkoMHT9QIJ55Tk8vxmO1JoTBLbpS4kA8drMCoJAOMb2wy2U5nssTXWMbH8KdBXnqg8jyQpXrJ3Okbq9vLS1hhULy0Y/AWCbtgjbnLOJH9tM/NhG7PPOM70OK8RVjT/+/Qhv7DqFJMHZC0tYu7CEqUVe4qpOQ1uAjXsb2XG0hZ8/sZd1i0r4+GXz8JxWN6S2VBOv3YvWehI90lswnFWEbeZKlJK54y5wBBNLyo9NF154IRdeeOFYruWMoiHQxCs1b5LnzOXqissGbfe6bMTiGrG4mrRWTQlnehMPdV0nEIpTkmc+vGrGlChBOuZEsjsnraJCVdPoDkSZO9WChW+y5TBFQdCv06CiLPWQvZxTDJKE1pm+W2Fdi/H9KS+2MOGw8ShIMkrxrGH3mTM1F4m+ToZUkX0FRvvhqUPo8agh9jLA5v1NxFWN85eVmRZ8Wncz8WMbkfPLsfUWEi6bU0hJvofN+5toMzG90rnmZuLV24i89wS2WWsy9vmGIxiO8dPH93CsrotpRT7uvG4RUwoHpvFK8z2smFtEQ1uAB549wKb9TRyv7+arH11Oca6beMNhotufTDpTnk5s70tIvgKcq2/ANnfdgDZUwZlLSoLg/vvvH3H7nXfemZHFnCnous6fDj2Bqqt8ZP71OJXBvyA8zr5Ogxxf6oIg3RqCcFRF03XrHgRYTRlYMycyKvBVJNn8uNoufxRdt9hy2GMU+aUaIbBqTiQpdqSsYrSO9GsI6pr9lOSbLyjU1RhqazVyQTmS3TXsfh6XjfJiH8dPdROLa9htqd8klPKlaHteRG04jK18cI+/WXRd563dp1BkiXMWp/Y035/o3pdB13Es/1DyZidLElesKefhFw/z7DvVXL0mtTSE7CvAsfhyorufJ7r3ZZwrUpteaoVITE2KgTWVxXz6qkqcjuH/bZQVePnmrat44q0qXthcww8eeY9/XlSL+9grgI4ybTH2yotQimcbhbzRoBE1qH6P2NGNhN/4DfK+l3GtvwMld3yHVAnGn5R+czz22GMDvlZVlba2Nmw2GytXrhSC4DQ2N27neFc1ywoXsaRw4ZD7JEJ3wUjcVKuUJNvA5rTsQ5AoZDw9dJgK1iIE1ucZGHUEOnq4x+jZN0l6LYdG98xoLYcJkuZEJlsPAeTcUtSa3WjhHmQTHRz96QpE6Q7GqDQRyk+gtZ4ENT5i/UCCeeW51DT7OdHYzVwT0xRt5UuJ7XmReO2ejAiCmiY/tc1+Vs4rIsdr7olcjwSIHX4byZuPbdbqAdvOWVTK396q4oVNJ7h4WVnK4sqxYgOxQ28R3fUs9soLLX8fR0LVNH715L6kGPjHaxYhy6NHRhRZ5uaL5lDkgdz3fo37WDOqt5CsS+4YnCJy+bCVL8FWvgTHyuuIbH2c+LFNBJ/4Dq7zP4l97jkZ/1yCyUNKP+2vvfbaoNf8fj/f+MY3WLVqVcYX9X7GHw3wt2PP4lAc3DzvumH3S8uLwOm17FQYCFlrOQRzo48TZLnTiBAk3AqDXWBBEHT2GO9preXQXISgKDEG2WSEAIzCQrVmN1pnI7IFQyEwogMAM02kKxKozVUAKCWjF1DOK8/lle11HKntNCUIlNK5YHOiZsiPIDF/4Lwl5qMDsUNvQTyCfeW1gzpIHHaFS1ZO48l3qnlnT0PKxYqSw4Nj5bVENv2R6K7ncJ39UdPrGo0n3qpiz/E2Flfkc/uGhSmJgQR62M9Zdb9HszezMzqD5yMX8k/OqZSMcIzsK8C9/g5iM1YQfut/Cb/+a7SOUzjOutF0iiYTqJpGfUuAqoZuOnsiRGMaDrtMQbaLacU+ZpRkmbomgsGYvyv04vP5+PKXv8xnP/tZPvWpT2VwSe9vnjz+PIFYkBvmbCDPlTvsfomQfcCSIPAkc9xmSUQIfFYiBJZSBulGCKybE6XjQWA2QmC3KeRlOa17EdDbejhCUd9IJOoHZk6xIAh63faUotFbiOf2OhYeqe3iQ+tSfw9JsaNMqUSt2YXW3YKcbb3qXdN0th5qwuuysXiWidYVjO6R6P5XwObAUXnRkPtcvHIqz28+ycvv1bJ+1VSUFAvr7JUXEd3zIrH9r+JYcgWyN8/U2kZi97FWXthcQ3Gem7uuX2xqlLceDRF87kdobTXY519AzHspza8c4z//vIt//eRqsj0jR1jss9egFE4n+MJPiO56Fi3YieuCT1tK41mhttnPW7tOsflA44i/L70uG0tnF3Lh8inMnZYzQLRowS60lmojBRkNghZHcvqQvHkoRTORsksmRORMNiwLAoBAIEBPT0+m1vK+51hnNZsa3mOqr4yLpp074r59NQRWvAi80F6Prmumi336TInSGWyUuiBwOhQcNtmaIEhzwFHSttjK6GN/Kzg8SA53yscU5bg4Wt9FXNVM/cJWMtBpkFaEoKUaHG6k7OJR983xOijJ93CsvhNN0009kdmmL0Wt2WV0Gyy6xPQ6Exyp7aTLH+WCZVNMXWcAtXYPur8N+8L1w/ppZHkcXLJmOi9sPMH2wy2sqRzpOboPyeYwogRv/47ozmdwnXebqbUNR3t3mAeePYBNkfn89YtN1YjovW6KWlsN9gUX4Tz/Ni6RZHpCcZ5+9wT//cRevvbRFaPWg8g5pXiu+1dCL/4X8SPvENZUXBd9bky7EJrag/z1rSq2HTL8K3K8Di5YNoVZU7IpynHhcCiEoyptXWGqTnWxr7qdTfsb2bS/kfJiHzeuzmO+eoj48S1o7XUjvpfkysI2Yzm2WWehTF38ge2usFxU6Pf7ee6551i7dm3GF/V+JK7F+dPhJ5CQ+Nj8G1FGUc/9awjMYtgX6xANgQmTIOhfQ5DO6GNz72l1noGcdCtMTxCYjRDouo7mbzf9FFuU6+ZIXRdt3WFTXRyZGHJU2+LHbpMpK/TR3ja4J3049EjAMCQ6baDRSMwvz+Gt3Q3UNvtNzUywlS/paz9MQxBsOdgEwNrK0QXM6cQOvQWAfcHIHVPXXzCbFzee4MUtNZy1oDjlp0f7/POI7n6e2KE3cSy7Cjkrvf5/Xdd56MXDBMJxbr1ivmlL6sjGP6DW7UMpX4rzvFuT3+PrzqugsT3I1oPN/O6FQ9y+oXLUzyi7s/F86OsEX/hP4sc2EZZkXBd+NuM3T1XTeH5zDU+/U42q6VSUZXPNOTNZMjt/2GjNBcumoOs6h2s62bptP6X1L1O+qYqopKHLCrbyJSjFc5DzpxpCUFYgHEDraUZtqUY9dYjY4beN2pKsIhyL1mOvvHjEItuxJBZXae+J0BOIITvSem43haWiQgC73c7atWv5p3/6p4wt5sCBA3zrW9/i2LFjzJgxg+985zssX7580H6/+93vePDBBwkEAqxfv5777rsPj8f4Bfzss8/yX//1X7S1tbF27Vq+973vUVg48rS6TPBO/RYaA02cP3UdFTmjW6imU0NAv04DM66BkObo44gf7O5RnftOx+dxcKo1gK7rpsJymUoZmI4QRAIQCyN5zRXo9W89NCMIJJcPyZVlWRComsap1gDTinwoJnOoCYe9VNIFCeZOy+Wt3Q0cqe00JQjkrCKjXuLUQcvth3FVY9uhZnK8DuZPNxeS14KdxGt2IxfMQCmcMeK+U4p8LJ9byM6jrRyp7Uz5vSTZhnPV9YRf/zWR7U/hvuh2U2s8nXf3NrK3qo1FFflctNxclX/s2GZiB15Dzi/HfcldA0L8kiTxmasrae0Ks2l/I1MKPXxo3cxRzyk53Hiu+irB535M/Oi7RGQZ5wWfzlhbYktniPuf2kd1Qw85Pge3XDqP1fOLUvu9EY9S0fQqUzteBFecLiWPF7rnszs2k3XTZ/HhRbNwDvMgpOsaatNx4kfeJnZ0M5HNjxLd9TyO5RuwL7x4zFtJO3oi7K9u5+DJdk409tDUHkLrdZmcUZrFtz911pi+fwLLRYWZJhKJcOedd3LnnXdy880389RTT3HXXXfxyiuv4PX23fRef/11HnzwQR5++GEKCwv56le/yo9+9CP+/d//nUOHDvHtb3+b3/72t8yfP5/vfve7fOMb3+A3v/nNmK/fY3czL3c21866MrX9nWkUFTqsTzy0OscAeicdmqgfSJDlsROLa0RiKi4TaldKc8BRR08En9tuqj0OUh9qdDp9gsBaHYHadNTSjbKxPURc1ZlWZMF/oMUoKJRNCIL5iTqCuk7TDoFK+VK0vS+hNh7BNm2xqWMBDpxoJxCOc+mqaaYLyGJH3gVdw77ggpT2v2LNdHYebeWlrbWmxIdt9tnIu54jfvRd1GVXo+RZa9fr6Inwp1eP4nQofOrKBabEtNbdQvjth8DmxH3ZF4ZMfTnsCl+6YQn/5+Ft/PXNKkryPKxeMHrURXJ48Fz9/xF87v8SO/w2SArO829LWxTsOd7Gb57ZTyAcZ92iEm65bF7KDy7xUwcJv/kgek8rkjcf59p/wDdrDefVdFL18hFe3VHHtsPNfOzSuUNGfCRJxlY6F1vpXJxrP0J039+J7nmRyOY/Ed37Io4V12BfcIHph6GRCIZjbD7QxJYDTQOmiLqdCrOmZlOS5ybb6+CcZVMz9p6jMeyna2pqSvkkJSWp5dhGYvPmzciyzC233ALATTfdxEMPPcSbb77J1Vdfndzvqaee4qabbkrOULj77ru59dZb+bd/+zeeeeYZLrnkEpYtWwbAPffcw7p162htbR3zKMGa0pWsKV2Z8v7JCEHEYg0B1rwIEhECs0WFuq6jR/zI+eYtYrPcfYWFpgRBmiOQO/0RCnNSrwFIoCcKClM0JUpgdeoh9AqCxiNo3c0o+YOHC41EfW9B4TQLhkRac+oFhQkKclzkZTk5UttpOupjK19CbO9LxGv3WhIE7/Xmk1PN6yfQdd24eSl27HPOTumYudNyqCjLZvexVhrbgynPSpBkGcdZNxB++edEt/8N96VfMLXWBI++dpRQJM6tl8+jICf10LWuqYRe/x+IhXBddHtyXsZQ5PicfPmmZfzH77fzwLMHKMhxpWSsJTm9eK6+h+BzPyJ26A2QZZzn3mq5MO/l92p59NWjKIrMp65awAXLUhNRuhonsvUvxPa+BJKEY9nVOFZeh2Q3ooKVM/O57zNreHHLSZ7ZeJL7n9rPxn2N3HbFfPKzh76mktOLc9X1OBZdanhL7HuFyDsPE93zEs41N2KrOCutAsRTrQFe2lrDlgNNROMaEobIXjGviIUz8phaNHC8fFFRFi0t41OrN+xv5wsvvHDUD534ZXDw4NBuV2aorq5m9uyBbU8VFRVUVVUNeK2qqorLLrtswD7BYJCmpiaqqqpYsWJFclteXh45OTlUV1ePS9rADMkaAotdBoCl1kPLRYXxKKhxyxECMARB4qaZCpJiB4fHUlFhKBInHFUtdhiYazlMkG7rIRh1BGYFQcLHvrzIXPoIjIJCyZ2N5E29Wl+SJOaV57LlQBON7UHKClJ/X6VsPtgcqLV7YN3HTK01rmrsOtpKrs/BrKnmiifVxiPoXY3Y5qxLOc0m9RoV3f/Ufv7+Xi23XjE/5fezzViJXFRBvOo91NaTo6YoTufAiXa2HmymoiybC1eYe0KMbn8SrekYttlrsc0dubgZDGfLO65dxM8f38PP/7qHf/vkWSn9u5FcPqOm4NkfEjvwGkgyznM+bi6Soen8+bWjvLKtjhyvgy/ftDRlp0+tu4XQq79Ea6lGyinFffHnhpw9YrfJXHNuBWsXlvDQi4fZc7yNf31gCzdfNJsLV0xFHma9ksuHc+0/YF9yOdEdzxA7+AbhV36JXDQL59qbsU2pTPlzAhyr7+KFzSfZedT4/VKY4+LC5VM4Z3GZpd9TY8GwguDhhx8ez3UQDAZxuwfeLFwuF+HwwPBrKBTC5epTdoljQqHQoG2J7aHQ0L+g8/I82MzYBo9AKsNQ+pObpwIQ03TTx/YUFtAC+Bwa2SaPjalGXmr6tDxT+eZYVwg/4M7JM73e0t5QtmxXRj329O3hrDzUUI/p96xtMhR1WZHP9LFtWg8RIL98Oi4TxxYW+nA6FDr8UdPvGZwxm8bN4I61k2fy2OYu49/IskrjSTDV9477O+kJtOOZs4riYnM32FWVJWw50ERDZ5ilC4Z/Ah0KbeYSgse2k2sPYc9NvTBw5+FmAuE4G86toMTkeps3bQKgaO0VuFO8PkVFWVyZ7+WJt6p4d18jt394KdkmTJCCl36Cxj99F/Y8TdFHvpnycbG4yp8e3IoswZc/usLUZw2d3E/Pzmex5RQz7fovIKdYAHxZURaBqMqDT+/nF0/u44dfOA9XSt0MWai3fYdTf/h3Yvtfwe11UXDpp5KiYKSfxXA0zk/+uINNexsoL8ni328/m+IUozCBw1toefYXaOEAviUXUnjl55BH6QgqKsrih3OLeWVrDQ8+vY9HXj7C9qOt3HXjslG6c7JgxueJXXg97W/8icDBjYSe/SHu2SspWP8JHMXDiz1d19l2sIm/vn6M/VVGKnLe9FxuWj+XtYvKhk176bpO5NRRena9Srsvj6ILM+9rMRTDfsfXrFmT0gkiEfMDeobC7XYPuvmHw+FksWACl8s14D0TN3uv1zusgDj9HAk6OqwPCOqP1ZCOwybT2RMxfWw8YuTqulvbiZg8tqM7jNtpM1WJDqC2GimkCE7T65V7i2PqGrqZOcJT7FDXUXP40NrqaW7qMJW/q6oxwv4um2R6vaFmo7ivK+aix+SxhTkuGtr8NDd3m3tSknIB6KmvJm7yPavqOsnxOYiGouBL/fsTP2mYBMVzppu+RmW90ZDtB5pYOdtcJEUtWQjHttO8exOOhetTPu7VrUYB5MLpuabWq0eD+A9sRMoqosczHX8Kx/b/WVy/chp/fvUoj//9ENecm3pqRffNQimbT/DYdhr37hhxcFR/nt14gvoWP5esnEaOU0n5s+phP4G//dQInV/0j7T1aGCiLfycymKOnuzgrd2n+I//3cIXblgy7NPzQGQcV96D+uwP6N76LKFwHOfaj1BcnD3s2ruDUX7++B6On+pmwfRcvnjDEiRVHfWz6mqMyJa/ENv3Mih2XBd8BuafT1tXHEjtsy6flc93b1/LH14+wvYjLdz9n29w8cqpXHPuzFE8GbKQz/9HPPMvJbLlMULHd1B3fCe2ilU4ll01IDoRjalsPtDE37fVUt9iRHIXz8rn6rUzmD89F0mSaBvid7AW7CR+bBOxIxvR2msB8MxZldGUwUgiLaXfsB0dHdx///0cOXIEVTWebHVdJxaLcezYMbZt25b2ImfNmsXvf//7Aa9VV1ezYcNAX/DZs2cPSCNUV1eTnZ1NcXExs2fPprq6b555e3s7XV1dg1IRkwW3y0bIUpdB703VUsogZm2OgQUPggR9A47ScCsM9SCZMHqx2nIIvUWFspIsajRDUY6b+hbzY5AlXwEodtOdBsFwnLbuCIsqzBn0gDlDotMpK/Tic9s5YnLQERg2xhEwXAtTFASaprPzSAtZHjvzeosaUyV2bAuoUaMozELh2/lLy3jqnSpe3VHPlWunpzyMTJIkHGfdSOjp/yDy3l9xb7h3VJHY2hni2Y0nyPY6+PAFJsSHrhN+63/RA+04Vt+AUjIn5WP7r/cTl8+jpTPEzqOt/PWN49x8cWrnkd3ZuD/0dULP/pDYnhchHkW/bmhL+4a2AD/9y25aOsOcvaiET19VmVLhr9bZSOi1X6G1nkTOKcV12RdQLNQ0gdF59IUblrDneBt/euUIr26v4529DVy2ehqXrCof0Q5bKZ6Fe8O9qLV7iWz7K/HqbcSrtyEXziA2Yx3vdE3h5b1d+EMxZEni7IUlXLl2+rAto1qoG7V2D7Fjm1Hr94Oug6xgm7kK+8KLKVm+ltZW6+PuzZDSneHb3/4227dv5/zzz+fpp5/m2muv5cSJE+zatYt77rknIwtZt24d0WiURx55hI9+9KM89dRTtLa2ct55A8eJXnvttXz729/miiuuoKysjJ/97Gds2LABWZbZsGEDn/jEJ7jxxhtZsmQJP/nJT7jgggvIy8ucY1gm8brsdPktjEBOY8BRIBwzlfNNYGWOQYLsdNwK+5sTmRAE6bgU6j1tSN58SzeP/q2HpgSBLCPnlKJ1NpgynEpOOLTUYWAIArnYvCCQJYm503LYebSVtq6wqaI3ObsIOaeUeP0BdDVm1IqMwtG6TrqDMS5cPsV8d8Hht0CSLI8mdjttXLhsKi9urWHz/ibOT7HgDcBWOg+lfClq7R7U2r3Ypi8dcf8/vnKUaFzjk1fOMTVvJHboTeIntqOUzcex3PpwJZsic9f1i/new9t4YUsNXredq89Orf5B9uTi3nAvoef/k9iB12iK+5HP+yySre/f4OGaDv77ib0EwnGuOWcm159fkVIkLXbkXcLvPGxYTs8/36hVyIBHwNLZBVTOWMubu+p5dtNJnt14khe31LB6QTFrK0tYODNvSAEoSRK26UtRypfQdXwP/p0vktV6CKX1JBcCsx0FqGWzmTpvAVlFEpKtE7W9G7Q4erALzd+K1lqD2lKF1lbTdw2LZ2Gfey722WuTv2vHc9JkSoJg06ZN/OQnP+H8889n//79fPKTn6SyspL77rsvIwWFAA6Hg9/85jf8+7//Oz/5yU+YMWMGv/rVr/B4PNx+++2sXr2aO++8k/Xr11NXV8cdd9xBd3c3F154IV//+tcBqKys5Lvf/S7/8i//QktLC6tXr+b73/9+RtY3FnicNhraLPTnO621HcbiGtGYhm+cJh0mSGviocVOA6suhboaQw91oZgsGErQv7DQzBhkMAoLtfZa9EBHygWNdckOA3MiT9d1oxgrq9DyIJ555blGn35dJ+tGqGQfCqV8Kdq+l1Ebj2KbOvQAsP5sO9wCwKr55ox+1PZatJZqlOnL0rISvnT1NP6+rZaX3qvl3KVlKYbSDZxrbyZYt5fIpj+iTFs4bOpr17FWdh1rZX55LmcvSr2LQu2oJ7Lxj+D04rr4H9M2CvK57fx/H1nOD/64g8ffOI4sSVy5dnRvFTBEgefabxB6+ecEj2xFbjmF+7IvIOeWsXFfA//7/CEAPvuhSs5NYQ6FFuomsumPxI9tBrsb1/o7U+4SSRW7TebS1eWcv3QK7+xt4LUddWze38Tm/U047DIzSrKYXpJFrs+B22kjHtcIhOM0dQSpbfbT0BYEziJbWsSlhQ2s8DYyzX8COrfC1q2MWGKs2FDKFmCbvtQoRM019+8o06R0ZwiFQsyZY4SOKioqOHDgAJWVlXzsYx/js5/9bMYWs2DBAv785z8Pev2BBx4Y8PVtt93GbbcNbQt69dVXD2hTnMx4XDZ03RhJbMaO1HAqNB8hCKY16dB4L2spA+sRAtltzYug02+ID7OjjxMth5LPfAgeBkYIzNK/0yBVD4SEZbFZDwLd34oe7sE2ZYG5RfYjEbo/WtvJukXmfpHZpi8ltu9lY/rhKIJA03W2H27G67KxwKQZUezQ2wDY559v6rjTyc92sXZhCRv3NbLtULOptkclvxx75cXEDryWnHNwOpGYyh//fgRFNsL2qT4g6PEo4VfvBzWKa/0dpr0zhqMw183XPraCH/5hB4+9fozuYJSbLpqdkhCSHB7cV30Veddf6d7+IoG//Tv7si/kt0eLcTkdfOGGJVTOGPn7qGsqscNvE9n6F4gEkItn4V5/J3IK9tpWcToULlk1jfUrp3KsvosdR1rYV9XOsfquAT4BA46xKyyuyKdyZh4r5xUlDcn0eAStvQ61zRD4eri3BkBWkFxZyL4C5LypyAXTMuptkC4prWTq1KlUVVVRVlZGRUVFMiqgKArd3dZsZQUD3QpNCQKbAxS7MaTDBP605hgYP9BWIgQuh4JNkSymDIynbM2kIOjoiWBTpOS0xVSxakqUIL0xyP0sjFPs0a9rCaDIkuk0UDr1AwmmlxhdFQdrOk0fq5TO62s/HGUyYNWpbjr9Uc5bUmZuqI8aI350o+FTP3256TWezjXnzmTz/iaefvcEq+cXm0pdOFZ/mNixzUS2P2kYF51Wn/LcppO0doW5cu10ppoQd5Gtf0Frr8VeeRH2isxOni3J8/DPH1/JT/+yhxe31NDcEeLTVy9IySxIUuwUXvk5GuUy5Pf+wOK2l/lGfgFZa66jaNrwESk9GiJWtZXorufQu5vB7sK57mPYF106bsOUJEli7rRc5k7L5SPrIRJVOdUWoCcYIxSJ47DJuBwKxXke8rKdQ4okyeZEKZ49ZBvkZCalu9B1113H1772NX7wgx9w8cUX8+lPf5pp06bxzjvvMH9+6r25goEk3QojcczefiSHx3TKoM+2eHxTBpIkkeVxpDkC2Zzw7PRHyPU5TRuI6L2CwKwHQYKiXBcSGRAEKaDpOnUtfkrzPabdGNVeQyIzDoWno8gy88tz2XO8jfbu8LBGL0Mh2Ry90w93o/nbRhRgieE2qxeYSxfET+5Cj/ixL70SSUn/Kawkz8O6xSW8u7eR9w41s3Zh6lEC2ZWFc/UNRDb+nsi7j+C+7IvJbY3tQV7ccpK8LCfXnjsz5XPGqrcR2/d35NwpOE16OqRKcZ6Hb966il/+bS87jrRwvL6LT1w+n5XzCkf8txUIx3ju2f08+aaGW7+O26ccoiK0F7b+lsDex1GmLkIpnpVMf2rdLWitJ4jX7QM1BrIN+8L1OFZck9GpkVZwOhTT6b/3Kyn9K7n66qtxuVxomsby5cv53Oc+x89+9jPKysr40Y9+NNZrPGPpMyey5lZo1rAnMdjI0hyDNIoKAbLcdposhNH7ugxS/6yaptPlj5o2r4H0IwR2m0J+tpNmSykDI+yeqiBo6woTjqrWHApbqgEJpXCm6WP7s3BGHnuOt3HwZEdKOeH+2KYtQa3ZTbxmD46FFw+5j96bLnA7FSpnmEvjxA73DjJKM13Qn2vOrWDTviaeeqeaVfOLTEUs7IvWE6/aSrx6G7HjW7HPXoOm6/zu+YPEVZ2PXTI3ZSdPtfMU4TceAJsD16WfH1C4l2l8bjv/30eX8+KWGp56p5pf/G0v04p8rF81lQXT8yjOcyNLEqFInOOnuth5pJV39zUQjWkUZLu45bLFLJ37IdTOU8QOvE7s6EbixzYRP7Zp0HvJuWXYZp+Nff55GUt/CFInpZ++K6+8khUrVvDhD38Yv9/P5z//eT7/+c+P9drOeNKZZ4DTg97VaKogMRBKY45BJACK3fIvniyPnZpmP7G4mnLbFlgbcNQViKLpOnkWxh5rPQlBYN3ZsjjPw8GTHURiKk67ic9qcyL5ClIWBH31A2YLCjXU1hPIuaWmxjsPReVM4yZ94IQFQTB9KZGNxkhihhEEJxp7aOuOsG5RiakoiOZvQ63dh1w8GyUvc17wxbluLlg+hTd21vPajnouNzHLQZJkXBd+hsDj3yLy7iMoZfN4/aCfI3VdrJpXlHLBpB4NEn75vyEWxrX+TtPOllZQZJkPrZvJirlFPP1uNdsOtfDwi4cBkqIormrJ/QuynVx7xRzWzC9M/htQcqegnPNxnOs+htbViNZ6Ej0WAV1D9hUakwi9+WnZAgvSI+Vph88++yw/+9nP+N73vsf69eu5/vrrOf/885E/oHOjM0EidB+wZF/sBV2DWBhS/KUeTDNCYDU6AAMLC/OzTdwkFRs4vaYEQVoth4FEysBaUSFASZ6bgyc7aOkImX56l3PLUOv2oUeDyeLR4ahNtByafA+tsxFi4bTSBQmmFnnJ8tg5cLLddLeMnF2MlFNC/NTBYdsPk+mC+eaKyWJH3gX0jEYHEnz4/AreO9jEU+9UsXZhyYg966cj55TiXHszkY1/oOeF/8eTJ87D67KnXEiox6OEXvp/aJ2nsC++POMV96MxpdDLndctpv3iMNsOt3CioZuG9iCyJOHqDa3Pn57Lwpl5lJbkDGmoI0myIQ5yrQ19EowdKQmCpUuXsnTpUv75n/+ZjRs38txzz3HPPffgdDq55ppruPfee8d6nWckfQOOrEw87DcCOUVBkCwqtGhMJGdZf2r29ZtnYCbXDEangZkaAqsth2A8WUru7LTGnRb3Vho3pSEItM5GlOJZI+5b1+uAZrbDQMtAQWECWZKonJHH1oPNNLQFmVJoLlphm76c2N6XUOv2Y5uxfMA2I13QgtOhmDJe0nXNGGRkc2CfvdbUelIhy+Pg+vNn8Ye/H+GvbxznMx8y16JqX3Qp8eYqOLaJ6x0Snos+R04KP6u6Fif82v+gNhzGVrEa5yjFmGNJfrbLVHRE8P7A1OO9LMucd9553HXXXXz6058mFArxpz/9aazWdsbTlzKwUkOQGHCUemFhsobAZOW9rsYhFspQhMCaF4Ee8aNrqQmnRIQgN8vcTV3XNXR/m+WCwgTFeb2dBp3mrbHNFBbWNfvxOG2mIyGJkceZEAQAC5Npg3bTxyZu2LHjWwZtq23209wZYtnsAhwmUi9qw2H0nhZss85KOyUyHBetmEJ5sY939jaw82iLqWMlSeJZ9QJOxAtZ46xieceL6Jo64jF6JEDohf8yzIemVOJaf0fafgMCwemk/BPV3NzM7373O26++WauuOIK3nnnHe69917efvvtsVzfGU16Ew/Nj0Du6zIwKQgSHQYpTokbiv4TD83S51aYmp930rbYrClRqAfUeNrFTCV56bQeGmHU0QRBJKbS1BFkWrHPdM5VbakGSUEuSM1sZjQSPeUHTnSYPlYuqkDKKiJ+cid6fKBY3HbYYrrgcMJ74ALT60kVRZa5fcNC7DaZ3z53kPbu8OgH9bLlQBMvbm/gadvVkD+d+KE3jTRAsHPI/eONRwk+9T3U+v3YZqzAfcXdKbk7CgRmSSl2fOutt7Jjxw5KSkq47rrr+PGPf8yMGebGeQoGk17KwLxbYcBiyiBpSmTR0Q4gy51ehAB63QpTaEHqtDjHIN2WwwQJL4Km9nQiBKdG3O9UawBdN29ZrKtxtLYa5PxpaaVF+lOU66Y4z83Bmg5icc1U8Z8kSdhnnUV09/PEa/dgr1htrFPXee9QCw6bzJJZqX8/9GiQeNU2pJwSw+tgDCkv9vGxS+by8EuH+dVT+7jnIytwOkaOZOw+1soDzx7A5VD45IdX4cs9h9Arv0St3UPgT1/Hvmg9tikLkDy5aO11xE/sIH5iBwD2JVfgXPsRERkQjBkp3RmmTZvGF7/4RdauzXw+7oOM12W9yyCRMsBEhCAYjmG3yabCr5CeB0GCvgFHFiIEJt0KO/zWagjSbTlM4LAr5GVZaz2U3Nng8IwaIbBqWax11IEaz1i6IMGy2YX8fVsth2s6WGziBg5gm73WEATHtyYFQX1rgKb2IKvmF416k+1P7Mi7xiCj+eePS7X6hcuncKS2k80HmvjPx3bxlZuWJYX+6ew80sKvntqPIkt85eZlydoP9xV3Ezv0JtGdzxDb86IxHKgfcvFsXOs+ZmlgkUBghpQEwWSeB/B+xuW0IWGthiAx8VA3MfEwEIqP+6TDBOnMM5A95rwIOnoieF0288LH3wqkHyEAI21wqKaTaEw1tQ5JkpDzpqA1V404+Keu2VpBYdKQyMJAo5FYPqeAv2+rZdexVtOCQC6YjpRTahgJxcJIdpel7gJd04ju+zso9jFNF/RHkiQ+86FKNF1n68FmfvCH7Xz8snnM72exHIrEefzN47y+ox6bIvPFG5cMmNgoyQqOheuxzzuPeO0etM5G9EA7cu4UlJI5yIUzRCueYFyYPCbKH0BkScLltFlLGVgYcBQIx0x7+xvvkYkIQRoTD3tTBlqKA446/REKTHYyAGi9cwwyYYhSnOfhUE0nLV1hppqsvFfypqE1HUPrbEAZJs+fiBBMNelBkMkOg/7MLc/F7bSx+1grH78sdS9+6E0bzFlHdPvfiB3bjH3BhWza34jDLrNsTurfC7VmN3p3M/YFFyC7x89ZzqbI/OM1i/C47Lyxs54f/nEns6ZkU5znJhxR2VfdTlzVmFro5Y5rFw3beSLZHMkIiUAwEYhk1ATjddms+RAk2w5TEwSaphMMxy16ECTmGFgvKvS4bMiS1XkGqacMwtE4oYhqqeVQ7+mNEGRlJkIA0GyljqDAMJrR2mqH3K7rOrXNfopz3Sk72yVQW6pBcSBn0KwHjJvikln5tHVHqG8xP5bbvuACkGRiB17lWF0nLZ1hVs0rMvX5ovteNs61+HLT758usixx2xXz+ZfbVrFwZh5Vp7rZvL+JXcdaKcl3c8MFs/i3T6625CopEIwXIkIwwXicNmuWvsm2w9R++QYjcXSsexAY72n9l5ksSfg89jTnGYwuCKxOOYTeCIHiSOtzJki0HjZZ6TTIN/q71fY6hpJvXYEo/lBsQNg5FfR4BK2jHrl41pgMilk+p5CtB5vZdazVvP+CNw/bzJXEq7dxeMcOQOKcxak7H6ptNainDhoe+ePg3Dccs6fkcM9HVxCLq3QHYujoFOaMTeujQJBpRIRggvG4bESiKqqmjb5zP8ymDNJzKUy/ywCMOgJrKQPjfVOpIbDacgig+VuRswoykq9NjEFt7jAfIUjc0LT2oSMEyYJCk+kCtbUGdC3j6YIES2YXIEsSO4+2WjrevnA9ANn1G8n1OUYdkduf6La/AeBYOni08ERgtykU5LiEGBC8rxCCYIKx7EVgc4KkpOxDkGw5tDDHgAzUEIAx4CgYiQ/wPE8FSbYhOX3ow/Rp98dyy2EsDJFARgoKAYp6IwSNFlIGktOL5M1Ha68bcrvVgkKtObOGRKfjddmpnJlHdUO3pZZLZUolEXcRS5RqLpjvS3m8sNp8nPjJnSglc1GmLTH9vgKBwEAIggmm/whkM0iSZKQNUhUEFk2JoDdlIEkpz0wYjkRhod9K66E3N6WiwmTLoUlBkMmCQgCnXaEg20WDhRsjgFxQjh7sRAsPNmOqTQw1MhmWV5uPA4xp+9o5i42JjRv3NZo+VpIktupLsEka57E95eMi7z0BgOOsG0U1vkCQBkIQTDCeNLwIcHpTti72W7QtBqPLQHL6kKT0flzScyvMhVjImI42ApZdCjPYcpigrNBDlz9q6Xur9NYRDBUlqG3uwWlXknUKqaI2H0dyZSFlpTZVzwor5xq+AZv2N6LpuqljT7UGeOLUFDqkXJwn3kUdxZwJIF67B7V+P8q0xdimLLC6bIFAgBAEE046gkByeNAjQfQUfvEmRx9bLCpMx7Y4QVrzDDy5xlpGSRtYTRlkOkIAMKXAuGYNbear7uX8oTsNYnGNhrYg04q9yCaehrVAB7q/Dbl49pg+RTsdCqvnF9HaFeZobaepY1/dUYeGTLDyWtA1olsfH3F/Pewn/OZvQVJwrrk5jVULBAIQgmDCSYTwrXkReECLgzr6DdZqUaGua4YPQZr1A5BehEDuFQTD+b0n6PRHUGQpOV0xVZIthxkUBKUFRmFhQ5uF1sNkhGCgIDjVGkDVdKYXmyvw7EsXzDa9FrMkugPeNZE2CIZjbNzbSEG2kznrLkQpmUv8xA5ixzYPub+u64TfeRg92Ilj9fUohcJKXSBIFyEIJphEDUHA0sTD1DsNLBcVRkOg68hpdhhAmhECby4AemDkATod/gi5Poepp2fInG1xf9KKEOSWgGxDPS1lUNNs1BSUm60faOoVBMVjLwjmT8+lINvF1gNNdAdS+16/tbuBSExl/cpp2BQF5/mfArub8JsPEG88OmBfXdeJ7niaeNVW5JI5OJZdPQafQiD44CEEwQTj7g3hh8Z44qHlSYe9HgRkoDc/q7d+odtqDQEjexFouk6XP2rNjdHfBkhIvtRb3UYjnQiBJNsMC+P2+gGjcWubjO9HeYnZDoPjIElj1mHQH1mSuOrs6UTjGi9uqRl1/2A4xvObT+JyKJy/zJj2qORPxX3ZF0DTCL30U6IH30CPR9G6Wwi/8QDR7X9D8hXgvviOMfFUEAg+iAhBMMF405p4mHArTEEQWJ10mGw5TL+GINtrPULQlzIYPkLQE4iiarpFD4I2JG8ukpw5r65sjwOf224pQgCgFM4ENYrW0VdcV9PsR5LMtRzqWhy15QRy3jSkNDtFUuX8pVPIy3Ly2o66UaMEz248iT8U40PrZuDrV/Rqm7YY1wWfhliEyNu/w/+/dxH489eIH30XuXgWnuu/hZw9dgWSAsEHDSEIJpi+lEEaEw9T6DTwh2NIkjFQyQx9tsXpRwgSgiDVMHJ/pN6xxyMVFVptOdQ1FT3QkdH6gQSlBR5aOsPE4ua8FwDk4lkAqC2Gf4BhWdxDab4Hp4mBSVp7HajRcUkXJLDbZD60bgbRuMYLW04Ou19zR5BXttdSkO3i8rPKB59n/vl4b/kx9qVXIedNwTZrDc51t+DZ8M/JoVcCgSAzCEEwwfQZE6Ux8TCFGoLEHAOzufWkS2EGUgZelw1FluiyIghSsC/usGpKFOwEXcto/UCCKQUeNF235ljYG95PGAq1doUJRVTz9QONx4zzjUNBYX8SUYJXttVxZIiOg1hc43cvHCKu6tx00WzstqFFjuzJxXX2R/De9F3cl34ex5LLkWyOMV69QPDBQwiCCSbdtkNIvYYgrTkGGYgQSJJEttdhLUKg2JBcWSMWFXZa9CAYi4LCBGXJwkIrnQZTQXEkIwQJQyLTgqDhEABK2XzTa0gHu03m9g0L0XX4xd/20trVN9dB03V++/xBDtV0smJuIWsqUx9zLBAIxgYhCCYYh01GkaU0RyCPLAh0XScQjlk2JYL05xgkSAiCVLwTTkfy5I7YdtiRGGxk2pTIEARjkTIoSxYWmq8jkGQbSuEMo7AwFqGmyUjfTC9J/Xuh6zpqw2Ekb96YGhINR+WMPG65bC49wRg/+uNOXt1ex65jrfzs8T1sOdDEnKk53HHtIuEwKBBMAsS0wwlGkiS8Lpu1CEFCEIxSQxCNacRVPRmNMEMmJh32J8fr4GRjD+GoittkPYPkyYH2WvRYGMnuGrTduilRb4QgA2OPTyedCAEYdQRq01HUtpPUNIUBcxECreMUergH25x1E3bTvXjFVDp6Iry4pYY//P1I8vXZU7L58k1LcZiohxAIBGPHpBEEv/vd73jwwQcJBAKsX7+e++67D4/HM2i/xsZG7rvvPrZv347NZuPKK6/k3nvvxeFwoOs6q1atGvD0uWrVKh544IHx/CimcbvslmoIkiOQR4kQJDwOfFbmGGSwywAGFhaaFwR9hYVSTumg7ZaLCnvGLkJQkOPCaVeSEwrNohRVEAPUpiqqG3zkZTlNRUCS6YIJtPWVJIkbL5zNpavLeWfPKfyhGGsqS5hZmiUiAwLBJGJSpAxef/11HnzwQR5++GHefPNNurq6+NGPfjTkvl/72tcoLS3lrbfe4sknn2Tv3r384he/AODkSaOaeceOHezcuZOdO3dOejEARrFdMBI3HUbvqyEY+emzr+XQ4mAjMhshACwVFsq95kRaoHPI7Z09ETxOm6kKfBjbGgJZkigv9nGqNUgsro5+wGkovZ0G4YZjdAWizCw16VDYKwhsZRPv85/jdfChdTP5yPq5VJRlCzEgEEwyJoUgeOqpp7jpppuoqKggKyuLu+++m6eeegpVHfgLNBqN4na7ueuuu3A6nRQVFXHNNdewc+dOAA4cOMD8+fPfd79oPE4bcVUnarY1zeEGpFHbDpOmRBZGH+thP9hdSEpmgknZnjRaDz2JToPOIbd39ERMpwugt4bA4U4KrExTXuJD03XqWy3UEWQVITl9xHs7DWZNyU75WF3XUU8dMuoHskXRnkAgGJlxEwTxeJzu7u5B//n9fqqqqpgzp28ka0VFBcFgkKampgHncDgc/PrXv6aoqK846vXXX2fBAuPp5+DBg/j9fq677jrWrVvHl7/85UHnmIxY7TSQJBmcnpRTBpYiBBF/RjoMEuT4rEcI+qcMTicSUwlG4ubTBbqO5m8bk+hAghm9RYA1TebTBpIkIRfPwhFuJ0cKUlGWuiDQOo36AaXs/SeSBQLB+DNuNQRbt27l05/+9KDXp06diqIouFx9RWJut+GmFgqFBu2fQNd1vve971FVVcX//b//FzAEw/Lly7n77rtxOp1873vf40tf+hKPPfbYkOfIy/NgG6b32SxFRdar8AtyjSdTl8dh+jwhtw89FhrxOOm4McmvtNhn+vz+SABHUXlan68/07uMPH9cH/qajfQ+4egUTgEuPUjBafudajVutmWF5j6jGvLjj4Vx5Zdk7DOeztL5xfDCIVq6I5beo3P+Stpr9zDffopVi6cMcPMbisR7dJ2sJgjkzltO9hh9tjOZsfp5+CAhrmFmGK/rOG6C4JxzzuHw4cNDbrvmmmuIRPrm3CeEgNc7dCFbOBzm61//OocPH+aRRx6hoMB4uvvSl740YL97772Xs88+m+bmZoqLB4dMOyyYxQxFUVEWLS09lo+XemsH6hq6cCsmh/LY3Gg9HSO+f1OrsU2NqabWqccj6PEoccWd1ufrjxYzoiANLf5B5xztOmpRI7oQaGtGO22/qhrDn8Bll0ytVW0zvPZjjpyMfcbT8dokZEni8Ml2S+8RzzEMhZb7mgn5w4T84WH37X8Ngwe2ABDKmUNkjD7bmUq6/6YF4hpmikxfx5HExaSoIZg9ezZVVVXJr6urq8nOzh7yJt7Z2cknPvEJOjs7efTRRykv77M7/fWvf83+/fuTX0ejRlja6TSfVx5PvOmYEzm9oEbR1eG7FAIh47xmuwwyaUqUIJEysFRDkHArHKKosMOiKVFfh0Gh6fWkit2mUFboobbZj2bBf6FFz6NLczNbPoWup1ZnokdDqPUHkQumI2eN3WcTCARnDpNCEFx77bU8+uijHD16FL/fz89+9jM2bNiALA9cnq7rfOlLX6KwsJAHH3yQ3NzcAdurqqr4wQ9+QEdHBz09PXzve9/jkksuISdncnueu9MacGSkV0bqNEjWEJgsKsx0hwEYBZQ2xaJ9ca9b4VADjqy2HPZ1GOSbXo8Zphf7iERVWjqGT4MNR3VjD4djZbi0oDGXIAXidftAi2ObscL0+wkEgg8mk0IQrF+/ns997nPccccdXHTRRWRlZfH1r38dgFOnTrFixQpOnTrFzp072bp1Kxs3bmTNmjWsWLGCFStW8PGPfxyAf/3Xf2XatGlcddVVXHTRRdjtdr7//e9P5EdLicSAo/TMiYYvLEx0GXgmQYRAkiSyPNbsiwEkXz66v31Qi6bVOQaavxUYm5bD/iTcBWuazRcWVp/q4XDMGAus1u0fZW+D+IkdANhmCkEgEAhSY9IYE912223cdtttg16fMmVKsq1wypQpw9YhAPh8vveFADgdbxoDjhKCgBEjBOmOPs6cIACjH72+NYCu66ar32VvPlrryd7uh75cmNU5Bnp3CwDSGI/Rnd7rLljT1MNZC8y1AB6r76JbMwRBvG4fjmVXjbi/rqnEa/cgefORC2ZYW7BAIPjAMSkiBB90Em2HVkYgk4JbYSAcw+lQsCnmvt1jkTIAw60wFtcIRcwb9STcBBPzBxJ0+CPIkkSW19wUPK2nFRRHsj5hrCjvjRCcbDRXHBQIx6hp6qGorBQ5fxpq4xH0WGTEY9TGoxAJYJuxXLQbCgSClBGCYBLgSauGYPQBR4FQ3NqkwzGKECTti4MW3Ap7c/2av33A64YpkcP0eGetpwU5q3DMb5w+t52SfA/HT3WhaakXFh6p6UQHFkzPxTZzFagx4se3jHhM/NgmAGwzV6azZIFA8AFDCIJJQKKGIGSphqA3QjCCW6E/HLM2x2AMagigz77YUqdBMkLQJwg0TaezJ0pe9uCBRyOhRwIQDSKNUxX+/PJcQhGVmubUowQHe9spK2fkYV9wASARPfTmsPurwR5iRzciZRWhTFmY7pIFAsEHCCEIJgGJIT+BNGoIhusyiKsakahqbfTxGKYMwOo8g0SEoC9l0OmPoOk6+WYLCnt6CwrHaSzw/Om5ABw62ZnyMYdOdmK3ycyakoPsK0ApX4LWfBy1vXbI/Xt2/R3UGI5FlyLJ4p+3QCBIHfEbYxJgU2ScDsViymDkGoK+OQZWBIHxJCu5M+uSlZEIQaAvQpDoMMjPMhch0HqMgkI5e/wiBABHajtT2r8nGKWuxc+cqTnYbcY/VXvlhQDEDg6OEuhanK5tL4LdhX3B+RlZs0Ag+OAgBMEkweO0pdd2OEyEwN8rCEazux0KPew3Cu5smTV2SmfioeTJBUkeECFoT3QYZJs1JertMBinCEF+touiXBdHajtTqiM4XNMJGPUDCWzTlyF5cokdfRctPDD1ED++FbWnDfu8c8dsUJNAIDhzEYJgkuB1pScIGMaHoE8QWJl02JPx6AD0Sxn4R66WHwpJlpG8eQNqCNq7DStf0xGC3pbD8UoZAMwvzyMYiVPXMrofwaHe+oH50/OSr0myDceSKyAaIvzq/eia4Vyodpwi/M4jSIodx+LLx2bxAoHgjEYIgkmCx2kjFImbt7Z1eABp+JRB0oPAWsog0wWF0Gce1GFBEIBRR6AHO9A1o22xvbs3ZWAyQpCsIRhjD4L+JOsIep/+h0PXdfYcb8NpVwaNPLYvvQJl+jLU+v1ENv6e+MldhF76KcRCFG34AnJOydgsXiAQnNEIQTBJ8Ljs6EDYZB2BJPeOQA4P/cRpNWWgxyMQjw4w/8kULocNt1NJmgmZRfIVgK4nxyB39CQiBBZSBk7vuIbXE3UEh2sG2y/3p+pUN61dYVbMKxzkHyFJMu6L/xEpu4TYgdcIvfRT9O5mHMs34FssagcEAoE1Jo1T4QcdT78BR2YthiWnb1hBYLWosK/lcGzGbub6nMliQLMkvAh0fzv4CmjviaDI5kyJdF1H62lFzptiaQ1WKcx1U5rvYV91e+/3euh/glsONAFw9sKhn/YlpxfPNf9M/PgWdE1F9uZhm3P2mK1bIBCc+YgIwSTB47TuVii5vOhh/yB/fzA8CMDKpMPeDoMxSBmAkTYIhONEY1bcCge2HrZ3h8nLcpoyJdJDXaDGxrV+IMG5S0qJxTXeO9Q05HZN09l6qBmf287CmcMPXZK9eTiWXolz+Yewzz0HSRL/nAUCgXXEb5BJQlpuhU4f6CrEwoO29UUILE46HKMIQWLmQKeFOgLZ29d6GFc1uvxR8+mCxAyDCRgNvG5RKRLw7t7GIbcfrOmgOxBl9fwi03bTAoFAYBXx22aS4EkOOLISITBu2kOlDfwh43ymawjGOEKQGFNsJW3QP0LQ6Y+gY7T0mSHpQTABEYL8bBcLZ+ZxrL6LpvbB7aJb9huRg7XDpAsEAoFgLBCCYJLQNwLZglth7007MXugP32jjydXhCDXZ73TQO5nX9xh0YNgvF0KT+fcJWUAvLuvYcDr9S1+Nu1vpDDHxdzeAkSBQCAYD4QgmCR405h4mDQnGipCEI7hcdpQTNrY6qFu49xjlTLojRB09pg3J8LpBcWB5m/vazk07UFgPIXL2eZGEWeKFfOKcDttvLq9joY2o2VU13UeeekwqqZzy6XzTA9qEggEgnQQgmCSkOgCsDTPYIQIgT8Us+5SyNgLAkspA0lCzipE87fSbrHlUOtsBElBGifb4tNx2hVuvXweoYjKz/66l/buMC9ureFIXRcr5hayfO7ErEsgEHxwEW2Hk4SkIAilIQhOixDouk4gFCe/2Lz18FjNMUiQTsoAQMouhs5T9HR0AuZqCHRdR+tqRM4uQpIn7p/A2YtKqW3288KWGu755UbAEAofv2zehK1JIBB8cBGCYJKQeIr3W0oZDC0IojGNuKqlN9goYY2cYXK8DmRJsmxOJOeUoAJaVxNgM1VDoEf8EAkglcy19N6Z5MYLZ+MPxWjqCDFnag5rF5aYLpAUCASCTCAEwSQhWUOQwQhB2oONnF4kWTF9bCrIskSOz2HdnKg39y/7m7Ep08gy8Rm1TqPdT84ttfTemUSWJT59deVEL0MgEAhEDcFkwabIuBxK8iZuhmTb4Wk1BIl6BOtzDMYmXZAg1+ek0x8xP78Bkn79jnAbBdlOJDOmRJ1GZb+cW2b6fQUCgeBMRQiCSYTPbbdWVDhMl4HlOQa6jh72j5kHQYK8LCeqpuMPmv/McrYhCHK0Topy3aaO1bp6IwQ5Ex8hEAgEgsmCEASTCK/Lbi1CYHOAzTEoQmA5ZRANgq4hj3GEIOFWaNWcSJcUCpUeCq0KAhEhEAgEgiRCEEwifG4b0ZhGLG7B33+IAUd9o4/NmhKNrUthgtwsYxiRlU4DSVaIufIplHsoyjHpQdDZCA73mKdEBAKB4P2EEASTiEQ3QMJu2AySa7AgsJwyGGMPggRJcyKLrYcBex4+OUKxN/UaBF1T0bqbkHPKTNUdCAQCwZmOEASTiLS9COIRdLXvWOujjxMRgvFJGVhtPewgB4BiW0/Kx+j+NtDUSdFhIBAIBJMJIQgmEYkRxdYKCwe3HloWBKHxSRnk9fbbJ+yHzdIUNwRLrt6V8jFaosNAFBQKBALBAIQgmET0pQwyY1+cTBmYbDvUEimDMXIpTFDQaybU2hWydHxtyCgmdIRaUz5mMnkQCAQCwWRCCIJJhM+dxoCjIcyJ/OEYsiThdpozFxqvlIHdppCX5aSlM2z6WF3XOd5jRBi07uaUj+uLEIgOA4FAIOjPpBEEv/vd7zj//PNZuXIl99xzD8Hg4DnxAHv37qWyspIVK1Yk/7v//vsB4ybxn//5n5x99tmcddZZ/J//839QVfMV+xNFwkDIUoRgyJRBHK/bZrp4brwEAUBRjov2njBxVTN1XE8wRnPUjYbca1+cGmrbSZBtouVQIBAITmNSCILXX3+dBx98kIcffpg333yTrq4ufvSjHw2578GDB7ngggvYuXNn8r8777wTgD/84Q+88cYbPP300zz//PPs2LGD3/72t+P5UdLCl4kBR5FA8jXLkw7HePRxfwpz3eg6tHWbixK0dIXQkAnac9G6GtFTcDvUtThaey1y/jQkRbh2CwQCQX8mhSB46qmnuOmmm6ioqCArK4u7776bp556asin+wMHDrBgwYJhz/PJT36S4uJiioqKuOOOO/jb3/421svPGL50agiSEQLj6V7TdALpCALFDvaxH7KTcBlsNZk2SOwf8U2BSAA90D7qMVpnA6hxlMLp5hcqEAgEZzjj9pgUj8eHTAPIskxVVRWXXXZZ8rWKigqCwSBNTU1MmTJlwP4HDx7E4XCwfv16NE3jqquu4p/+6Z9wOBxUVVUxZ86cAeeprq5G1/X3Rc95RooKe1MG/nAMHcjyOEyfSw91I7mzx+WaFeUaoqOl01xhYbIQMW86dOxDbTmB7CsY8Rit9SQAcuFM0+sUCASCM51xEwRbt27l05/+9KDXp06diqIouFx9T6Nut/HUGAoNvknk5eWxdu1aPvKRj9DW1sbdd9/Nz372M+655x5CodCg82iaRjQaxekcPB43L8+DzZaZaX5FRemH1/M1HUmCqKqbPl/MVkIQcEoRioqyCDUaYf+ifI+pc+m6Tk+4G2dJRUY+02jMnRkFIBA1okGpvmdPuHf/uZVoVc/jCjaQP8qxrTtPEQYK5lTiGofPNlGMx/ftg4C4jukjrmFmGK/rOG6C4JxzzuHw4cNDbrvmmmuIRPp60RNCwOv1Dto3UUAI4PF4uOOOO/jJT37CPffcg8vlGnQem802pBgA6OgYunDRLEVFWbS0pG6OMxIep43O7rDp8+m9HzvU2UFLSw819Z0A2GVMnUuPBECNE7d5M/aZRsKOkfs/2WAImFTfs7ZX8Cj55WhAT80R1FGODdYeA0mmWy6gZxw+20SQyZ/FDzLiOqaPuIaZIdPXcSRxMSlqCGbPnk1VVVXy6+rqarKzsykuLh6wX1dXFz/84Q/x+/sq6SORSPKGP3v2bKqrqwecZ9asWWO8+sziddvxWzAmwuEBSUnWEPT0ThDMcptLGSQKCmVPtvk1WCDH68Buk02nDFo6Q2R7HbiycpF8Bcl0wHDouobaVoOcW2YMgxIIBALBACaFILj22mt59NFHOXr0KH6/n5/97Gds2LABWR64vKysLP7+97/z3//938RiMU6ePMn999/PDTfckDzPgw8+SGNjI62trfzP//wP11133UR8JMv43HYCoVhKVfP9kSQJyZ2VdBnsCRqh+CyPSVOiRIeBO8fUcVaRJInCHBetJgRBJKbS1hVmSoEHAKVwBnqoCy3YOewxelczxMLIhTP+//buPb7p6v4f+OuTe5umTa/YC5dCqVx+IqW0cpuUsg2QS0XRbQhU+Kp1OlDRr5epG3My2JzMiYLocIzLcIOpgEWHCjjdV8FaLsod2iK0Qpu2aZs2bZrk/P5IE4hNL0nTNqWv5+PB40E+l5OT08Dn3XPe55yOVpmI6JoUEAFBZmYm7r33XuTk5CAjIwM6nQ6PP/44AKCkpAQpKSkoKSmBTCbDa6+9hpMnT2LMmDGYO3cupk6diuzsbADA3LlzkZmZiTlz5mD69OkYNWqUx7yFQKbVKGG1CTQ0+rDjYVAYhNmxjK+rh8DLpELn/VJQ1/QQAI6ZBrX11nYnU14qr4MAEBvlGFJyPuTtZUUt3mMzOM7JGRAQEXkUMJOxFyxYgAULFjQ7HhcXh0OHDrleJyUlYcOGDR7LkMvleOSRR/DII490VjU7nWu1QrMVGpV3Px4pOBQoPw/R2HBVQODlPgZ1zh6Crg0IAOByeS1C27GqYkm5Y62FuEhHQCBvmjVgM5yHov9Ij/fYOMOAiKhVAdFDQFd0aLVCjeMhLsxVqDE7hwx6QA9BmGNmyKWK9iV5lhiaAoLv9xA09QJ4Yis5AcjkkEdyDQIiIk8YEAQY12qFvux4GOQMCKpdPQTeLkwkujiHAHDvIWiPZgFBsB5SsB42Q5HH3At7bSXshiLIY4dAUgX5qdZERNcWBgQBpiOLE8maAgJ7U0AQpJZDqfDuR+yaZdANQwaXytvZQ1BeB61GgdCrhkPk1yVD1FbCXnGh2fXWb48AQIvDCURExIAg4Gg7suPh1T0EZovXUw4BwG6uAmRyQN18DYjOEh0eBEkCvr3c9lzbRqsdpZV1iIvSuq2kqBiYBgCwnjvY7B6bMyDod6OfakxEdO1hQBBgnA9x57RBb0jBjm5+UVcFU12j1wmFQNcuW+ykVspxXUQwikqq2pxuebmiDkIA8VHuAYui3whAoUZjwZduZQirBdbiY5Dp4yALjfl+cURE1IQBQYBxPsSdOQDecO5O2GgywmYXHdrHoKv1jQlBbb0V5VWtb3LknGEQ+72AQFKooeh3I0T1ZdjLv3Udt5WcBKwWyNk7QETUKgYEASZU2/EegsZax0yBEG+nHDbWA1ZLlyYUOvWNcWzOdKHU1Op1308ovJpiUDoAwFpwZdig8dwXjnPMHyAiahUDggDjnBVQXetDQNC046G9aS0Br9cgMHf9GgROfWMcvRvftjcgiPQQEPRtGjY48zns5mo0Fn4F65n/gyw8HvI+Sc2uJyKiKwJmYSJyUMhl0GoUvg0ZyBSQ1CFAfVNA4O0+BnWOnoWunGHg1K9P+3oIig21CFIroA9p/tkkhQrKYZPQePQD1L29zNHjIVdBM/kBSDL/7GpJRHStYg9BAArVqlDtw5AB4FitUGZxZOv7vo9B1wcEYVoVwkJUrc40qKtvxKXyOvSLCWkx6VF900+gSp8DUVsJWOqgHn8X5BHxnVVtIqJrBnsIApAuWIVL5XWw2wVkMu+y/SVNKBSVJZDB3iNWKXSSJAmJcWE4fLoMdfVWBGuafzXPXKyCAJDcV99qOeqRMyDvMxiiuhSK5AmdV2kiomsIewgCUGiwEgI+Ll/c9DAPkeo7kEPQ9UmFAJAY53jfi2Wehw1OXTACAK7vp2+zLEXs9VBe/4MunT5JRNSTMSAIQLqmmQa+DBs4AwKdzOx7QBDc9T0EADAwzvG+LeURnL5ghFwmYVBc9wQsRETXMgYEASi0qau/xpeZBq6AoN7npMLu7iE47yGPoN5ixflLNRhwnQ5qFRMEiYj8jQFBAHKu0V/ty0yDprUIwhUNXj847XVGQJK7pi92tYSYEGg1CnxTUA7791YsPFdcDZtdtJo/QEREvmNAEICcyYC+rEUga9oCOVLl/b2ithKSVg9J6p6vhVwuQ0pyNIwmC85erHI758wfYEBARNQ5GBAEoNAO5BAgyLHAT7jSu3uF3QZRZ4RMG+H9e/pR2hDHfgN5J0vdjp++YIQEYHCCvusrRUTUCzAgCEBX9jPwPiBokAUDAPSKBq/uE+ZqQNghacO9fk9/Gto/HFqNAnmnSl3DBpcr63CuuAr9r9N5nI5IREQdx4AgALl6CGq9zyGosgUBcCQVekPUVgAApJDu7SFQeBg2eOc/BbDZBabe1K9b60ZEdC1jQBCAgtUKyGWSTz0ExnqBeqFEsKj16j67yREQyLq5hwAA0puGDf598FucKKrAwROl6H+dDqOHcPtiIqLOwv7XACRJEnTBSp9yCKpMFihswYi2Vnt1n6itdLx3N+cQAMCQ/uGIj9Li0BkDDp0xAADmZAyCjIsMERF1GvYQBKjQYJVP0w6NpgYY7VoobPWOzX3ayV4bOD0ECrkMz2aPxh2TBiFYrUDK4CgMH9D9gQoR0bWMPQQBSqdV4dtSExoabVAr27+egNFkgczuSCy0myogD49r132B1EMAACqlHNNu6o8p6f0A0fb1RETUMewhCFChPs40cPYQAFcSBdtD1FYCkuRa2ChQyCTJ6w2eiIjIewwIApRzcaIaL4cNqkwNMApHQGA3lbf7PnttBaRgPSQZlwUmIuqNGBAEqDCtb6sVGk0WWJSO3/KFqX09BELYm1Yp7P78ASIi6h4MCAKUa/liL4YMhBAw1jbAHqx3vG7nkIEw1wB2W7evUkhERN2HSYUBKlTbtMGRFz0E5gYbLI12yEIiAeOVtQXaciWhkD0ERNR7/HPvWXz5vWXS/S1tSAzuzExq87r8/DysW/cqoqKiUFhYAI1Gg0WLcrBz53acPXsOGRmZGDz4erz55hv429+2QpIk3HPPfMybdzemTZvhl7oGTECwYcMGrF+/HrW1tcjMzMRzzz2H4OBgt2tKSkowffp0t2MWiwUJCQn497//DSEEUlNTIa7aKS81NRV/+ctfuuQz+FOYVg3AMQTQXlW1juWKdTotYNa2u4fgypRD9hAQEXWXkyeP4403/obk5CF49NEl2Lx5A7Zu3YLz5y/j1lunYvv2XTh48AusWfMyGhstGDEixW/BABAgAcG+ffuwfv16bNy4EVFRUVi6dCn+8Ic/YNmyZW7XxcXF4dChQ67XZWVlmD17Np5++mkAwPnz5wEA+fn5kHr4IjbhoY6AoKK6/WsJOIMHfYgasrpI2KsuQQjRZlu4li1mDwER9SJ3Zia167f3rhIbG4fk5CEAgPj4eGi1IVCpVNDr9dBqtaiursL//u9TyM6eC7VajfXrN/n1/QMih2DHjh2YM2cOEhMTodPp8NBDD2HHjh2w2Wyt3vfrX/8a06ZNw8033wwAOH78OK6//voeHwwAgC5ICYVchsqa9m9SZDQ5rg0LUTvWE7BagIa2lzB2DRl08z4GRES9mVKpdHutUDT/nb2iogIWSwNMphoYDGV+ff8uCwisViuqq6ub/TGZTCgoKEBS0pUoLTExEXV1dbh8+XKL5X3++efIz8/Hww8/7Dp24sQJmEwmZGVlYezYsViyZEmrZQQySZIQoVOjwouAoMrVQ6CCrOnhbm/HsEEg7WNARESeCQEsW/Y07rnnfixceC+WLXsaVqvVb+V32ZDBwYMHsXDhwmbH4+PjIZfLodFoXMeCghw79pnN5hbLe/3117Fo0SJotVrXMZVKhZEjR+Khhx6CWq3G8uXLsXjxYvzzn//0WEZ4eDAUCv/Mu4+O1vmlnKv1idTi63MG6MODoWxHPRtsjtyJAQnh0CEWFccBndwMbRt1K2kwwgoJMf37QpIrW722s3VGO/Y2bEP/YDt2HNuw/fR6x/PI2WZBQSpom3LJoqN1kCQJmzb9BbGxfbBo0XwAwIEDn2HTpjfw+OOP+6UOXRYQjBs3DqdOnfJ4bubMmWhouPKbsDMQuPphf7XvvvsOX375JV588UW344sXL3Z7/cQTT2DMmDEoLS1FTEzznfIqK+u8+gwtiY7Woaysxi9lXS1E4/jxnC4sR4w+qM3rv3PWwWpDHRxtZywpRp3++lbvazAUQ9JFwVBRD8C7bZP9qbPasTdhG/oH27Hj2IbeGThwGP76162uNvv5zx9xnSsrq8F7733k9hoAfve7VW6v26O1IC0gcggGDRqEgoIC1+vCwkKEhoZ6fIgDjiTE9PR0RES4j3m//vrrOHbsmOu1xeLoQler1Z1Q684X0ZRYWNnOxEKjyQIJjimLUkgkgLYXJxKWOghzNWT66zpUVyIi6tkCIiCYNWsW/vGPf+DMmTMwmUx4+eWXMWPGDMhknqt35MgRjBw5stnxgoICrFy5EpWVlaipqcHy5csxefJkhIUF1vr87RWha5pp0M48gipTA3RaFeQymWsKYVvLF9uNlwAAsjAGBEREvVlABASZmZm49957kZOTg4yMDOh0OteYSElJCVJSUlBSUuK6vri4GNHR0c3KeeaZZ5CQkIBp06YhIyMDSqUSK1as6LLP4W/hoY68ivZOPTSaLNA3LXnsmEIotbkWgb2KAQEREQXIOgQAsGDBAixYsKDZ8e+vPQAAmzdv9lhGSEhIjw4Avs+bHgKTuRENjTaEN90jyRWQtOGwV7e+Cpfd+B0AQKaP7WBtiYioJwuIHgLyLKKph6Cyuu2AoMzoSMSMDr+SfCgLj4OorYRoZS0C9hAQERHAgCCgaTUKqBQyVNS0PWTgCgiumo0gi0gAANgqSzzeAzQFBAoVVykkIurlGBAEMEmSEB6qQUU7eghKKx0BwdXTE+Xh8QAAe8VFj/cIYYfdeBmysOuuidUdiYjIdwwIAlyETg2TuRGWxtaXcfbYQ+AMCCqLPd4jaisBm4XDBURExIAg0LnWIjC13ktQZjRDAhCtv7LiY1sBgWvKIRMKiYh6vYCZZUCeheucUw8b0Cc8uMXrSo1m6HVqtyWOJaUaki66xSEDe1XTDIOwPn6sMRFRz1D/xVuwFnzZqe+hGJgGzZiftnldfn4e1q17FVFRUSgsLIBGo8GiRTnYuXM7zp49h4yMTJjNZuj14cjJeRAAsGfP+9i372OsWPFHv9SVPQQBLqId2yA3Wu2orG5wGy5wkkckQNTXwG6ubnaOPQRERIHj5MnjyM7+H/z97/9CeHgkNm/egHXr1uHNN7fg7be34ZZbZmL37l2uDY127Hgbt956u9/enz0EAS7C2UPQyloEhiozBOBxvwNZeDxw/hDslcWQBYW6nXOtQcAcAiLqhTRjfgq047f3rhIbG4fk5CEAHBv/abUhUKlU0Ov10Gq10Gq1iIuLw+eff4a+ffvDYChDevoYv70/A4IA58wJKG1lI6YyY73btVeTRVw10yBuqOu4sFthKz0HKawPJFXbGycREVHnUirdd5tVKJo/omfPvhO5uTvRt29/zJo1268zxDhkEOCi9UFQyCWUGFpeXMjTokROsnDHWgT2CvfEQltpAdBYD0X8cD/WloiIOtOkSZNx+vQp7N+/F9OnZ/m1bPYQBDiFXIbYSC2KDbWwCwGZh2jwyhoEzZMOZfrrAEkGW6V7YqHtomNXSHkCAwIiop5CqVRi0qTJqKiogF6v92vZDAh6gPhoLS6UmmAwmhHjYabBlTUImg8ZSHIlZJH9YC8thN1c7cojsBYfAyQZFFcNIxARUfcYNWo0Nm36p+v10qVPuJ3Pzf0YAGA2m3HoUD4effRJv9eBQwY9QHyUFgBQXOZ52KDMaEaQWo6QIKXH88rBYwFhg/XcAQCAsNTBXloAWcxASKqWpzISEVHgOHDgc9x223SMGjUaw4f/P7+Xz4CgB4iPDgEAXPSQRyCEQJnRjOiwoBaTSxRJYwFJjsZTnwEArCUnAGFn/gARUQ9y001j8f77e/GLXzzcKeUzIOgBEqKdPQSmZudKK82wWO24LrLl3/RlQaGQ970B9vLzsFVcgO3CNwCYP0BERFcwIOgBIkM1UKvkKPbQQ3DmYhUAYHCCvtUylNdPAACYP3gJjSf2AWot5DED/V5XIiLqmZhU2ANIkoSEKC2KLtXAarNDIb8Sx525aAQAJMWHtVqGot+NkNQhEKZyyKIHQjN+HiQZf/xEROTAJ0IPER+txbmSalyqqENCU04BAJwtroJaJUdCjLbV+yW5EkHTlkKYqyHvdyO3OyYiIjcMCHqI+ChHEFBcVusKCGrqLPiuvA7DB4RDLmt79IdDBERE1BLmEPQQzsTCC6VXEgvPFjvyB5LayB8gIiJqCwOCHmJAbChUChm+PHkZdiEAAGcvOgOC1vMHiIiI2sKAoIcIUiuQPqwPyoz1OF5YAcAxw0AmSRgYG9rG3URERK1jDkEPMiklHp8d/Q77DhUjNlKLokvV6BsTgiA1f4xERN56++x7OFT6dae+R0rMDbgtaUab1+Xn52HdulcRFRWFwsICaDQaLFqUg507t+Ps2XPIyMhEfHxf7Nr1ruueoqIC3HVXNu699+d+qSufJD1IYmwo+l+nw+GzBnx7uQZWm8CEEbHdXS0iIvKDkyeP4403/obk5CF49NEl2Lx5A7Zu3YLz5y/j1lunYvv2Xbj99jsBAO+8sx25uTsxb97dfnt/BgQ9zKSUeGx4/yTKqxtw6w8SMTk1oburRETUI92WNKNdv713ldjYOCQnDwEAxMfHQ6sNgUqlgl6vh1arRXV1FaKiovHJJ/uwdesmrF27HkFBzbe99xUDgh7mpmF98E1BOZL76vHD0X27uzpEROQnSqX7BnUKRfNH9NGjh7Fq1e/x0ktrEBkZ5df3Z0DQw6iVcjww+4burgYREXUxu13g2WefxK9//TwSE/2/rgwDAiIioh5g9epVsFob8eqrf4bNZgMADBkyFE8++axfypeEaJrUHiCef/55KJVKPPHEEx7PWywWLFu2DB999BEUCgXmz5+Pn//ckWEphMCqVauwbds22Gw2ZGVl4amnnoJcLvdYVllZjV/qHB2t81tZvRnbsePYhv7Bduw4tqF/+Lsdo6N1LZ4LmHUIKisr8eSTT2LTpk2tXvenP/0JJSUl+Pjjj/H3v/8d27Ztw+7duwEAW7Zswf79+7Fz507s3r0b+fn5ePPNN7ui+kRERD1awAQEc+fOhVwux5QpU1q9bseOHcjJyYFOp8OAAQMwb948vPPOO65z2dnZiImJQXR0NHJyclzniIiIqGVdFhBYrVZUV1c3+2MyOdbm37BhA5YvX47g4OAWy6iqqkJ5eTmSkpJcxxITE1FQUAAAKCgoaHausLAQATYqQkREFHC6LKnw4MGDWLhwYbPj8fHx2Lt3L/r06dNmGWazGQDc5l1qNBrU19e7zms0Gte5oKAg2O12WCwWqNXqZuWFhwdDofCcX+Ct1sZlqP3Yjh3HNvQPtmPHsQ39o6vascsCgnHjxuHUqVMdKsP5sK+vr0dISIjr785eBY1Gg4aGBtf1ZrMZCoXCYzAAAJWVdR2qjxOTZ/yD7dhxbEP/YDt2HNvQP3plUmF76PV6REZGorCw0HWssLAQgwYNAgAMGjSo2bmBA/0/V5OIiOha06MCAgCYNWsWVq9eDaPRiKKiImzevBlZWVmuc+vXr8elS5dgMBiwbt061zkiIiJqWY8ICFJSUpCXlwcAePjhhzFgwABMmzYNc+fOxZ133olp06YBcMxUyMzMxJw5czB9+nSMGjXKY94CERERuQu4hYm6EhcmCixsx45jG/oH27Hj2Ib+wRwCIiIi6lIMCIiIiKh3DxkQERGRA3sIiIiIiAEBERERMSAgIiIiMCAgIiIiMCDokOPHj2POnDkYOXIksrKycPjw4e6uUo+Ql5eHO+64A6mpqfjhD3+It956C4BjN8sHH3wQqampyMjIwLZt27q5poHPYDBg7Nix2LdvHwDg4sWLyM7ORkpKCqZMmeI6Tp5dunQJOTk5GDVqFG6++WZs3LgRAL+L3srPz8dtt92GUaNGYcqUKdi1axcAtmN7HT16FBMmTHC9bq3dLBYLfvnLXyI9PR3jxo3D2rVr/VcRQT6pr68XP/jBD8SWLVuExWIR27ZtE2PGjBEmk6m7qxbQjEajSEtLEzt37hQ2m0188803Ii0tTfz3v/8VixcvFo899pior68XR44cEenp6eLQoUPdXeWAdt9994khQ4aIvXv3CiGEuO2228Qf//hHYbFYxP79+0VKSoooLi7u5loGJrvdLmbPni1WrlwpLBaLOH36tEhLSxNfffUVv4tesFqtYsyYMeL9998XQgjx5ZdfimHDhokLFy6wHdtgt9vFtm3bRGpqqkhPT3cdb63dVq5cKbKzs0V1dbUoLCwUkyZNErm5uX6pD3sIfPTFF19AJpNh7ty5UCqVmDNnDqKiovDJJ590d9UCWklJCSZOnIiZM2dCJpNh+PDhuOmmm5Cfn4+PPvoIS5YsgVqtxogRIzBjxgy8++673V3lgLV161YEBQUhNjYWAHDu3DmcPn0aDz74IJRKJSZOnIj09HTk5uZ2c00D05EjR1BaWorHHnsMSqUSgwcPxltvvYU+ffrwu+iF6upqVFRUwGazQQgBSZKgVCohl8vZjm147bXXsHHjRtx///2uY7W1ta22244dO5CTkwOdTocBAwZg3rx5eOedd/xSHwYEPrp6l0WnxMREFBQUdFONeoahQ4fihRdecL2uqqpy7VOhUCjQt29f1zm2Z8sKCwvx17/+FcuWLXMdKygoQHx8vGubcIBt2Jpjx45h8ODBeOGFFzB+/HhMmTIFR44cQVVVFb+LXggPD8fcuXOxdOlSDB8+HHfddReeffZZVFZWsh3bcPvtt2PHjh244YYbXMfOnz/fYrtVVVWhvLwcSUlJzc75AwMCH9XV1SEoKMjtmEajQX19fTfVqOepqanB/fff7+oluPpBBrA9W2K1WvH444/j6aefhl6vdx3nd9I7VVVVOHDgAMLDw7Fv3z6sWLECv/3tb1FXV8fvohfsdjs0Gg3+/Oc/4/Dhw3jttdfwu9/9DiaTie3YhpiYGEiS5Haste+f2WwGALd/5/5sUwYEPgoKCmr2Q6ivr0dwcHA31ahnuXDhAn76058iLCwMr7zyCoKDg9HQ0OB2DdvTszVr1mDo0KGYOHGi23F+J72jUqkQFhaGnJwcqFQqV0Lcyy+/zO+iF/bs2YOjR49i6tSpUKlUyMjIQEZGBlavXs129EFQUFCL7eYMFK7+d+7PNmVA4KOBAweisLDQ7VhhYaFbVw55duzYMdx5552YMGEC1qxZA41Gg/79+6OxsRElJSWu69ienu3evRu5ubkYPXo0Ro8ejZKSEixduhSFhYUoLi6GxWJxXcs2bFliYiJsNhtsNpvrmM1mw7Bhw/hd9MJ3333n9p0DHMN/w4cPZzv6oLX/C/V6PSIjI92ePZ6Gr33FgMBHY8eOhcViwaZNm9DY2Ijt27fDYDC4TR2h5gwGA+655x4sXLgQTz31FGQyx1cwJCQEkydPxosvvgiz2YyjR4/ivffew8yZM7u5xoHngw8+wFdffYW8vDzk5eUhLi4Oq1atQk5ODpKSkvDSSy/BYrHgk08+wYEDBzB16tTurnJAGj9+PDQaDV555RVYrVbk5+fjww8/xNSpU/ld9MK4ceNw4sQJ/Otf/4IQAgcPHsSHH36I6dOnsx190Nb/hbNmzcLq1athNBpRVFSEzZs3Iysryz9v7pe5Cr3UiRMnxE9+8hMxcuRIkZWVxek07bB27VqRnJwsRo4c6fZn1apVorKyUixZskSkpaWJiRMnim3btnV3dXuESZMmuaYdXrx4USxatEiMGjVK/PjHP3YdJ8+KiorEokWLRFpampg0aZLYvn27EELwu+iljz/+WMyaNUukpKSI6dOniz179ggh2I7t9cUXX7hNO2yt3cxms3j22WfFmDFjxNixY8XatWv9Vg/udkhEREQcMiAiIiIGBERERAQGBERERAQGBERERAQGBERERAQGBERERAQGBETUAWfPnsX+/fvdji1cuBCff/65X8r/2c9+hqNHj/qlLCJqHQMCIvLZAw88gK+//tr1evv27VAqlRg7dqxfyn/sscfw1FNPNVsal4j8jwEBEfns6nXNrFYrVq9ejYULF/qt/NTUVGi1WuzcudNvZRKRZwwIiMgn8+fPx7fffotXXnkFmZmZ+OCDD9DY2Ij09HTXNZmZmXj99deRnZ2NESNG4JZbbsGePXtc5w0GA37xi18gPT0dI0eOxN13340TJ064vc/UqVOxYcOGrvpYRL0WAwIi8snq1asRHx+PRYsWYfv27di7dy8mTJgAuVze7Lrx48fj3XffxbRp07BkyRJ89dVXAIDf/OY3sFqt2Lp1K95++21otVosXrzY7f6JEyfizJkzuHDhQpd9NqLeiAEBEflEr9dDLpcjODgYEREROHLkiMetbTMyMnDfffdh4MCBWLx4MVJTU7FlyxYAwPnz56HT6ZCQkICBAwfiueeew/Lly2G32133DxgwAEqlEocPH+6qj0bUKzEgICK/KC8vR3h4eLPjaWlpbq9vvPFGnD59GoAjKXHPnj1IT0/HPffcg9zcXCQnJ7u2xQYAuVwOvV6P8vLyzv0ARL0cAwIi8gtJktx+s3dSKBRur+12OyRJAuDID/j000/x/PPPIzo6GmvWrMGMGTNgMBjc7rHZbK57iKhzMCAgIp9d/ZCOjo5GRUVFs2u++eYbt9eHDx/GsGHDYLVa8fvf/x7FxcWYOXMmVqxYgdzcXBgMBhw8eNB1vd1uR1VVFWJiYjrvgxARFG1fQkTkmVarRVFRES5fvowbbrih2QwBANi5cyduvPFGpKen491338XXX3+NX/3qV1AoFDh27Bjy8vLwzDPPICIiArt27YJSqcTw4cNd9586dQo2mw0jRozoyo9G1Ouwh4CIfHb33XfjP//5D2bNmoXJkycjLy8PNpvN7ZrZs2dj165dmDVrFj799FO88cYbGDZsGADgxRdfREJCAnJycnDLLbfgo48+wquvvor+/fu77j9w4ACGDh2K+Pj4Lv1sRL2NJK5eWYSIyEcWiwU/+tGPsGzZMkyaNAmAYx2COXPm4IEHHvC53FtvvRXz58/H7bff7q+qEpEH7CEgIr9QqVR48MEHsXHjRr+VefDgQZjNZmRlZfmtTCLyjAEBEfnNHXfcAbvdjs8++8wv5a1atQorV65sNlOBiPyPQwZERETEHgIiIiJiQEBERERgQEBERERgQEBERERgQEBERERgQEBEREQA/j+ri3kD3p3FsQAAAABJRU5ErkJggg==\n", 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