{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Compare Rb $5s \\rightarrow np_j$ matrix elements with NIST\n", "\n", "This notebook compares the reduced electric-dipole matrix elements\n", "$\\langle 5s_{1/2} \\Vert d \\Vert np_j \\rangle$ of rubidium ($n = 5, \\dots, 20$ and $j = 1/2, 3/2$)\n", "computed by rydstate with the experimental values of the NIST Atomic Spectra Database (ASD), for\n", "\n", "- the **bare** rydberg dipole operator $d(r) = r$, and\n", "- the **full** (core-polarization dressed) dipole operator\n", " $d(r) = r - \\frac{\\alpha_c}{r^2}\\left(1 - e^{-(r/r_c)^3}\\right)$.\n", "\n", "The later sections then look at how the full operator affects the remaining decay channels of the $np$ states\n", "and, finally, the $ns_{1/2}$, $np_{3/2}$ and $nd_{5/2}$ lifetimes.\n", "For those no NIST line strengths are used, so there only the bare and full values are compared to each other.\n", "\n", "The valence electron polarizes the ionic core; the induced core dipole partially shields the dipole operator.\n", "This correction goes back to [Hameed et al J. Phys. B: Atom. Mol. Phys. 1 822, 1962](https://doi.org/10.1088/0022-3700/1/5/308) and [Weisheit Phys. Rev. A 5, 1621, 1972](https://doi.org/10.1103/PhysRevA.5.1621),\n", "and is also described in [Marinescu et al Phys. Rev. A 49, 982, 1994](https://doi.org/10.1103/PhysRevA.49.982), where the model potential comes from.\n", "The cutoff $r_c$ is fitted to the NIST line strengths." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# %matplotlib widget\n", "\n", "import logging\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "import rydstate\n", "\n", "logging.getLogger(\"rydstate\").setLevel(logging.ERROR)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## NIST reference values\n", "\n", "The NIST ASD line strength of an E1 transition is $S = |\\langle J \\Vert d \\Vert J' \\rangle|^2$ in atomic units $(e\\,a_0)^2$,\n", "so it is directly comparable to the square of rydstate's reduced matrix elements." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# {(n, j): S in (e a0)^2} from https://physics.nist.gov/PhysRefData/ASD/lines_form.html (retrieved 2026-07-24)\n", "nist_s = {\n", " (5, 0.5): 1.79e1,\n", " (6, 0.5): 1.11e-1,\n", " (7, 0.5): 1.32e-2,\n", " (8, 0.5): 3.31e-3,\n", " (9, 0.5): 1.28e-3,\n", " (10, 0.5): 6.24e-4,\n", " (11, 0.5): 3.79e-4,\n", " (12, 0.5): 2.02e-4,\n", " (13, 0.5): 1.28e-4,\n", " (14, 0.5): 1.04e-4,\n", " (15, 0.5): 6.85e-5,\n", " (16, 0.5): 4.82e-5,\n", " (17, 0.5): 3.75e-5,\n", " (18, 0.5): 2.83e-5,\n", " (19, 0.5): 2.34e-5,\n", " (20, 0.5): 1.50e-5,\n", " (5, 1.5): 3.58e1,\n", " (6, 1.5): 2.59e-1,\n", " (7, 1.5): 3.62e-2,\n", " (8, 1.5): 1.01e-2,\n", " (9, 1.5): 4.25e-3,\n", " (10, 1.5): 2.10e-3,\n", " (11, 1.5): 1.50e-3,\n", " (12, 1.5): 8.62e-4,\n", " (13, 1.5): 5.95e-4,\n", " (14, 1.5): 4.57e-4,\n", " (15, 1.5): 2.72e-4,\n", " (16, 1.5): 2.25e-4,\n", " (17, 1.5): 1.77e-4,\n", " (18, 1.5): 1.42e-4,\n", " (19, 1.5): 1.10e-4,\n", "}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Bare vs. full operator\n", "\n", "The full operator (including the core-polarization correction) is used automatically if \"electric_dipole\" is specified.\n", "To compute the bare values for comparison, one can restrict the matrix element to the contribution of the Rydberg\n", "electron via `part=\"rydberg\"`, which leaves out the \"closed_shell_core\" contribution." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "n_max = 30\n", "matrix_elements: dict[str, dict[tuple[int, float], float]] = {}\n", "\n", "for potential in [\"coulomb\", \"fei_2009\", \"marinescu_1994\"]:\n", " basis_ns = rydstate.BasisSQDT(\"Rb\", n=(0, n_max), l_r=(0, 0), potential_class=potential)\n", " ground_state = basis_ns.sort_states(\"nu\").states[0]\n", " basis_np = rydstate.BasisSQDT(\"Rb\", n=(0, n_max), l_r=(1, 1), potential_class=potential)\n", "\n", " matrix_elements[potential + \" - full\"] = {\n", " (state.n, state.calc_exp_qn(\"j_r\")): state.calc_reduced_matrix_element(\n", " ground_state, \"electric_dipole\", unit=\"e a0\"\n", " )\n", " for state in basis_np.states\n", " }\n", "\n", " matrix_elements[potential + \" - bare\"] = {\n", " (state.n, state.calc_exp_qn(\"j_r\")): state.calc_reduced_matrix_element(\n", " ground_state, \"electric_dipole\", part=\"rydberg\", unit=\"e a0\"\n", " )\n", " for state in basis_np.states\n", " }" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Comparison plot\n", "\n", "Left: the matrix elements themselves.\n", "Right: the ratio of the calculated matrix elements to the NIST values.\n", "The color encodes the total angular momentum ($j = 1/2$ blue, $j = 3/2$ orange), and the black-edged crosses the NIST values.\n", "The bare operator overestimates the matrix elements; the full operator agrees with the NIST values." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (ax_me, ax_ratio) = plt.subplots(1, 2, figsize=(12, 5))\n", "\n", "colors = [\"C0\", \"C0\", \"C1\", \"C1\", \"C2\", \"C2\", \"C3\", \"C3\"]\n", "linestyles = [\"-\", \"--\", \"-\", \"--\", \"-\", \"--\", \"-\", \"--\"]\n", "markers = [\"o\", \"s\", \"x\", \"s\", \"^\", \"v\", \"o\", \"s\", \"^\", \"v\"]\n", "\n", "j_r = 3 / 2\n", "j_r_label = rf\"$j_{{ryd}}={j_r}$\"\n", "n_nist = sorted(n for (n, _j_r) in nist_s if _j_r == j_r)\n", "\n", "for label, me in matrix_elements.items():\n", " n_list = [n for (n, _j_r) in me if _j_r == j_r]\n", " style = {\"color\": colors.pop(0), \"linestyle\": linestyles.pop(0), \"marker\": markers.pop(0), \"markersize\": 6}\n", " ax_me.plot(n_list, [abs(me[(n, j_r)]) for n in n_list], **style, label=f\"{label}, {j_r_label}\")\n", " ax_ratio.plot(n_nist, np.abs([me[(n, j_r)] / np.sqrt(nist_s[(n, j_r)]) for n in n_nist]), **style)\n", "\n", "ax_me.plot(\n", " n_nist,\n", " [np.sqrt(nist_s[(n, j_r)]) for n in n_nist],\n", " color=\"k\",\n", " linestyle=\"none\",\n", " marker=\"X\",\n", " markeredgecolor=\"black\",\n", " fillstyle=\"none\",\n", " label=f\"NIST, {j_r_label}\",\n", ")\n", "\n", "ax_me.set_xscale(\"log\")\n", "ax_me.set_yscale(\"log\")\n", "ax_me.set_xticks([5, 6, 8, 10, 15, 20], labels=[\"5\", \"6\", \"8\", \"10\", \"15\", \"20\"])\n", "ax_me.set_xlabel(\"principal quantum number $n$\")\n", "ax_me.set_ylabel(r\"$\\sqrt{S_\\mathrm{calc}} = |\\langle 5s_{1/2} \\Vert d \\Vert np_j \\rangle|$ ($e\\,a_0$)\")\n", "ax_me.legend()\n", "\n", "ax_ratio.axhline(1, color=\"gray\", lw=0.8)\n", "ax_ratio.set_xlabel(\"principal quantum number $n$\")\n", "ax_ratio.set_ylabel(r\"$\\sqrt{S_\\mathrm{calc}} / \\sqrt{S_\\mathrm{NIST}}$\")\n", "\n", "fig.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Why lifetimes barely change: the $np \\rightarrow$ low-$n$ $d$ and $s$ channels\n", "\n", "The line strengths $S$ to the ground state change by up to a factor $\\sim 8$, yet the *lifetimes* of Rydberg $np$ states change only by a few percent.\n", "The reason becomes clear by looking at how the full operator affects the other decay channels of an $np_{3/2}$ state: the dominant spontaneous channels go to the low-lying $d$ states,\n", "whose radial integrals have no strong cancellation --- so the shielding correction moves them only mildly.\n", "Below we first plot the bare and full matrix elements for the four most important channel families,\n", "and then the ratio of the full to the bare line strength for all of them in a single plot." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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pH3/8MdnZ2WRnZxMcHFx4jYeHBzfffDMAmZmZLFu2jMTExML3MzIy2L9/f7meTURERCpOuUTFqQgiIiIixRiGwerVq3nllVdYu3YtoaGhLFiwgGnTphWe4+vrW9id/vy3ROvWrcPb29spMYuIiIjrcNVcQkUQERERJ/HxcGPPM6PKPG989BoOJmbwx8mohgFtwvz47m8DyvyM8nj//fd56qmniI2NZdWqVcyePZudO3fi5+dHw4YNyc3N5c033yz1+vr16zN06FCef/75wmmuJ0+epKCggKZNm5YrBhEREakY5RIVp54gIiIiTmIYBr6e7mW+plzWBhv2ZIXff7XZ4JERbcq81jh/URmsVivdu3dn5MiRvPLKK0RGRjJ69Gjatm1L27ZtGThwIN26dbvoPebOncuhQ4fo1KkTnTt3ZsKECZw5c6Zqf0giIiJSKuUSFWfYytvlxMSio6OJjo7GarVy4MAB0tLS8Pf3d3ZYIiJSC2VnZxMTE0OLFi0qNNVz8a54Xl52kCOnM2kZUo+HhrdhdKdGDozUcUr6M0hPTycgIKDOjrHKJUREpDpUNo+AupNLlPZnUN5cQkWQCqjrCZqIiDheVZKXusKMRZDzzPKcIiLiGMojql4E0XIYERERERERETEFFUFERERERERExBRUBBERERERERERU1ARRERERERERERMQUUQERERERERETEFFUFERERERERExBRUBBEREXF1qXFwclvxV2pctdx+/vz5tG/fnm7durFz585Sz4uMjGTbtm0ADBkyhHnz5lXL54uIiIiDKZco5F7jnygiIiLllxoHc3pCfk7x99y9YNJmCIyo0ke88cYbTJs2jRtvvLFK9xEREREXpFyiCM0EERERcRabDXIzL/5KP15y0gL24+nHL369zXbRECZPnsyqVav417/+xYABAzAMg9TU1ML3g4ODiY2Nrb5nFhERkeqjXKLCNBNERETEWfKy4L/hVbvHe6Mv/v6/ToJnvVLffuWVV9ixYwcPP/ww48ePxzCMqsUjIiIiNUe5RIVpJoiIiIiIiIiImIJmgoiIiDiLh6/925WLSdhx8W9o7lwMjbpc/DMqwM3NDavVWvhzdnZ2ha4XERGRGqRcosI0E6QcoqOj6dChA71793Z2KCIiUpcYhn166cVe7j4Xv4e7z8Wvr+CU1NatW7N+/XoAvv32WzIzMyv7dPIHyiVERMQhlEtUmIog5TBx4kT27NnDxo0bnR2KiIiYjW9De+f2krh72d+vRrNmzeKhhx6iR48ebN26lYYNq/f+ZqVcQkREnEa5RBGGzVZGq1cplJ6eTkBAAGlpafj7+zs7HBERqYWys7OJiYmhRYsWeHt7l++i1DjIOlP8uG/DKm9p5wwl/RmYZYw1y3OKiIhjVCqPgDqVS5T2Z1DeMVY9QURERFxdYEStS1BERETEhSiXKKTlMCIiIiIiIiJiCiqCiIiIiIiIiIgpqAgiIiLiBGZuyWXmZxcREakOBQUFzg7BaaqaR6gniIiISA3y8PDAMAxOnz5NSEgIRgW3navtbDYbp0+fxjAMPDw8nB2OiIhIreLp6YnFYuHkyZOEhITg6elpqlyiOvIIFUFERERqkJubG02bNuX48ePExsY6OxynMAyDpk2b4ubm5uxQREREahWLxUKLFi2Ij4/n5MmTzg7HKaqaR6gIIiIiUsPq169PVFQUeXl5zg7FKTw8PFQAEbs6tGWjiEhN8fT0pFmzZuTn52O1Wp0dTo2rah6hIoiIiIgTuLm5qRAg5pYaB3N6Qn5O8ffcvWDSZhVCRERKcX45iJaWVpwao4qIiIhIzcs6U3IBBOzHS5ohIiIiUkUqgoiIiIiIiIiIKagIIiIiIiI1Lr9AWyWLiEjNU08QEREREalRm7dtw/jhIXo4OxARETEdFUFEREREpEYcT0xix+dPMjz5C7wMc+6OJCIizqUiiIiIiIg41LmcfH79OpoeB2ZzuZEMBhz17USznAMY1txi51sNd9x8GzohUhERqetUBBERERERh7DZbKxe/hMNVj7B5bYDYECiWyPyRjxD837XQdrxIrvAHP7xJVqdWMBxWzCBHsEEODF2ERGpm0zZGPXqq6+mQYMGXHPNNc4ORURERGoZ5RHls//QAVa8cA0DV1xPJ9sBsvBmf6cphD62jab9rwfDgMAICO9W+Gp+0yukG340J4E1X7/q7EcQEZE6yJRFkIceeoiPPvrI2WGIiIhILaQ84uKS09L56Y1/0OTjgQw5txSAPaFXYpm8mbbXPInh4VPqte71GpDQZRIAPY+8xsnTZ0o9V0REpDJMWQQZMmQIfn5+zg5DREREaiHlESXLz7fy63fvkjWrJ6MS3qS+kU2MdwdO3bCQDn+bi3dQ03LdJ+rKhznlFkaYkcLWL//r4KhFRMRsal0RZOXKlVx11VWEh4djGAbz5s0rdk50dDSRkZF4e3vTt29fNmzYUPOBioiIiMtRHuEY2zauYef0IQzdPoWmnCLJCOLgpTNp8Y81hLa7pEL3Mjy8yR70OACDTs1l76EjjghZRERMqtYVQTIzM+natSvR0dElvv/FF18wZcoUnnzySbZs2ULXrl0ZNWoUp06dquFIRURExNUoj6heJ07EsWLmLXT+4Qq6W3eQgwc7W91Lg3/uIGrEXWCpXKrZbODNHPNug59xjqPfPYXNZqvmyEVExKxq3e4wY8aMYcyYMaW+P3PmTO655x7uuOMOAN544w1+/PFH3nvvPR577LEKfVZOTg45OTmFP6enp1cuaBEREXEJNZlHQN3NJc6dy2bdly/Q48gbDDYywYBdgcNodv2LdG7cuuofYLHgPeY5+O5ahmf8wPpNm+jXu3fV7ysiIqZX62aCXExubi6bN29mxIgRhccsFgsjRoxg7dq1Fb7f9OnTCQgIKHxFRERUZ7giIiLiQqo7j4C6l0vYbDbWLfmShBd6MjTmJQKMTGLdW3J07Jd0evg7/KujAPK70K4jORzQHw/DSvZPT5FvLai2e4uIiHnVqSJIUlISVquVsLCwIsfDwsJISEgo/HnEiBFce+21LFy4kKZNm5aa2EydOpW0tLTCV1xcnEPjFxEREeep7jwC6lYucXDPVrY8P4p+v91DC9txUvBnZ49naD51I817jHLIZ4b+5X8UYDAkfzW/LFvokM8QERFzqXXLYarD0qVLy3Wel5cXXl5eDo5GREREapPy5hFQN3KJlOQkdn32b/qe+gpPw0qezY2dTW6gw43P0tkvyKGf7desKwcaX0Wb+AUEr32OzEGjqOft4dDPFBGRuq1OzQQJDg7Gzc2NxMTEIscTExNp1KiRk6ISERGR2kB5RFH5eXms+eIlbK90Z+Dpz/E0rOyq14/k21bQ497X8HZwAeS8yGueIwdPetj2sHT+hzXymSIiUnfVqSKIp6cnPXv2ZNmyZYXHCgoKWLZsGf3796/0faOjo+nQoQO91ZBLRESkznJUHgG1L5fYtWYhsdP7cMneZwginThLU/YNf49Oj/5EWMvONRqLZ8NmxLW5DYCOe2ZxKjWjRj9fRETqllpXBMnIyGDbtm1s27YNgJiYGLZt28axY8cAmDJlCm+//TYffvghe/fu5YEHHiAzM7Owy3tlTJw4kT179rBx48bqeAQRERFxEmfkEVB7comTsfvZ9OI4Ov18I60LjnAWXza1e5TwqVtpN/AvTour1dX/5qzhR2vjOKu+etlpcYiISO1X63qCbNq0iaFDhxb+PGXKFABuu+02PvjgA66//npOnz7NtGnTSEhIoFu3bixevLhYkzMRERExH+URJcvKSGP758/QPe5Dwo08rDaDLSHjaHPDdHoFhzs7PAyfBqT0ehi/jf/h0uNvcfD43UQ1rdv/m4iIiGMYNpvN5uwgaov09HQCAgJIS0vD39/f2eGIiIjUGWYZY13tOW0FBWxZ+A4Rm6YTSjIAuz27UG/sDCI79XVydH+Sn8Pp57sSkh/Pt4G3M+FhzQgREZELyjvG1rrlMM5Q29bxioiIiGtxxVzi8LaV7J9+CT03PUooyZw0QtnS7xU6PLbC9QogAO5e2IY9AcBlKV+wcdc+JwckIiK1kWaCVICrfXsjIiJSV5hljHWF50xJPMaRz/9Jz5SFAGTavNgeeRc9bngcb596Tomp3AoKOPFiP5qc28/3XldyxT8/wWIxnB2ViIi4AM0EEREREZFC+Tnn2PTJNDxf711YAFnvP5L0e9Yz4I7prl8AAbBYqH/VdABGZy9i6ZrfnByQiIjUNrWuMaqIiIiIVIDNxr7ln+G/6ml6FSQAsM+tLfkjp9O373AnB1dxAR2GczToEponr8H91/+Q3e9HvD3cnB2WiIjUEpoJUg6uuI5XREREag9n5RIJB7ew94VhtFvxAOEFCZyiAWs6P0fUv9bSqRYWQM5r9Jf/YcXCsIK1/Ljoe2eHIyIitYh6glSAI9bxLt4Vz+ylB4lJyqRFcD0eHhHF6E6Nq+XeIiIitYUr9MqoCdX+nKlxkHWm2OFz+bB/4at0jv8GN8NGjs2DdY1uouuNTxEYGFT1z3UBse/eTmTcd2y2tafFoysIqu/l7JBERMSJyjvGajmMEy3fsJlXv1uLO9AaMBLh1bk78L66P0P69HR2eCIiIuLKUuNgTk/Izyn2ljfQDcCA9d6XEjLhBQa36VjDATpWs788S87sH+lp7OWzb9/nxlvvd3ZIIiJSC6gI4iypcQxYOIofvfKKvZW70APabIXACCcEJiIiIrVC1pkSCyAABnCMxsQPep4+Q8dhGHVvBxVLYFNOdbyLiN2v0/vwy8ScupEWoQHODktERFyceoI4S9YZPCleAAHsx0uY2ioiIiJSXmF3fEzfYePrZAHkvIirpnLW4k9r4yRrvprt7HBERKQWUBFEREREpA7y8vBwdgiO5x1AVr8pAIw89R5bDx13ckAiIuLqVAQpB+0OIyIiIlWhXMJxwoZN5IxHOKFGKvu+m456/ouIyMWoCFIOEydOZM+ePWzcuNHZoYiIiEgtpFzCgdw9cRv5JABXZXzNL5t2OzkgERFxZSqCuKiM3HxnhyAiIiKuzLchVotniW9ZLZ7g27CGA3KewJ7XkVC/PfWNbNJ+eo7c/AJnhyQiIi5KRRBn8W0I7iXvZ59nc+ONDak1G4+IiIjULoERuE3ewm/Dv2GS3yyuzp/OJL9Z/Db8W9wmbzHXLnMWCwFjpwNwVd5PfP/LSicHJCIirkpb5DpLYARM2lx0F5jNH8Lm90imPu9tTWNYvxR6NGvgvBhFRETEtQVGMGBgBAMGOjsQ5/NpM5QTIYNocnolAb/9l7SBlxDgY4LmsCIiUiGaCeJMgREQ3u3Ca/R/IaAZYUYa97n9wL++3UmeVdM5RURERMojbMJ0rFgYwXrmf/+ds8MREREXpCJIOdRYR3cPHxj5HwDuc/+eswlHeG91jGM/U0RERBxOu8PUDPfGnUhsMQGADrtncDw508kRiYiIqzFs2kes3NLT0wkICCAtLQ1/f3/HfIjNBh9cCUdX86O1D//HFH5+ZDARQb6O+TwREREXUCNjrAswy3M6ky3tOLmze+Bly+Hdps9x192TnB2SiIjUgPKOsZoJ4moMA8b8D5th4Qq3DXSz7mLa/F3a815ERESkHIyApqR1uQeAIcfmsCvuTBlXiIiImagI4ooadcLoeQcAT3l8xMr9CSzaleDkoERERERqh9Ax/yDDzZ9WlnjWfT1bXyaJiEghFUFc1dB/g3cA7Yxj3OD2K08t2E16dp6zoxIRERFxfd4B5F/6KABjUz9i5S71WBMRETsVQVxVvYb2QgjwD4+vyD57hhk/7XdyUCIiIiK1Q+DA+0nxakKokUrsDy+Srx33REQEFUFcW6+7IKQ9AZzlEfdv+HjdUbYeS3F2VCIiIiKuz90Tr1FPA3BN9jd8/9s258YjIiIuQUUQV+bmDqOnA3Cr+1Jac5x/fbdL32SIiIiIlINv92s47d+RekYO+b88T2ZOvrNDEhERJ1MRpByio6Pp0KEDvXv3rvkPbzUU2l2JG1b+4/Uxe+PTeH9NbM3HISIiIpXm1FzCzAyDwLHPA3B1wc98tfgXJwckIiLOZtiq0C47Ly+PhIQEsrKyCAkJISgoqDpjcznl3Xe42iXHQHQfsOZyb+4jrHLrx89TBtG0gW/NxSAiIuJAThtja5hZntPVJL4xjrCE5Syx9aHb/31PqL+3s0MSEZFqVt4xtsIzQc6ePcvrr7/O4MGD8ff3JzIykvbt2xMSEkLz5s2555572LhxY5WClz8JagH9JwHwjM/nFOSdY9r83druTURERKQcQq+ejhULI40NfDP/G2eHIyIiTlShIsjMmTOJjIzk/fffZ8SIEcybN49t27Zx4MAB1q5dy5NPPkl+fj4jR45k9OjRHDx40FFxm8/A/wO/xjSyxnOPxyJ+2XeKxbsSnB2ViIiIiMszwjqQEnUNAL0PzuZAQrqTIxIREWep0HKYG2+8kccff5yOHTte9Lzs7Gw++OADPD09ufPOO6scpKtw+hTW7V/Ad/eSa/FhYNaL2Pwas/T/BuPv7VHzsYiIiFQjp4+xNcQsz+mS0k+SO6sbnrYcXgl5iskTH3F2RCIiUo0cshzms88+K7MAAuDt7c39999fpwogLqHztdC0N54F53im/tecOpvDSz/td3ZUIiIiIq7PP5ysnvcDcEXim6w9EO/kgERExBmqZXeYlJQUvvjiC2bOnMnMmTP5/PPPSUlJqY5byx9ZLDDmfwCMyl9Od+MgH607yva4VOfGJSIiIlILBI74O5nugbSyxLN53isUFKi/moiI2VS5CPLuu+/Sv39/1q9fT0FBAQUFBaxfv54BAwbw7rvvVkeM8kdNekK3mwF4OeAzsBUw9dud5FsLnByYiIiIiIvz9ofB/wDg+sy5fL/pgJMDEhGRmlalLXIB2rZty5YtW6hXr16R4xkZGfTo0YMDB+rO4OIy63jPJsKrPSH3LNOMv/HRuUt5/Ir23D2wpfNiEhERqQKXGWMdzCzP6dLyc0mb0Z2A7OO843Y9Nz/2Ot4ebs6OSkREqshhW+T+mWEYnD17ttjxs2fPYhhGVW8vJfELg8GPAjDV8wvqk8VLSw5wPCXLyYGJiIiIuDh3T3wufwaAG/Pn8fkvm5wckIiI1KQqF0FmzJjB4MGD+ctf/sLkyZOZPHkyEyZMYMiQIbz00kvVEaPTRUdH06FDB3r37u3sUC7o+wAEtcIn5wzPNVzMuTwrT87fTRUn9oiIiIgDuGQuYWKenSeQHNiZekYOPr+9SHJmrrNDEhGRGlLl5TAAVquVDRs2cPLkSQDCw8Pp06cPbm51a2qhy01h3b8YPrsem8WDy3L+xyFrI964uQejOzV2dmQiIiIV4nJjrIOY5Tlrg4Ijq7B8dCX5Nguvd5zLg9dd7uyQRESkCso7xrpXx4e5ubnRv3//6riVVESbUdB6BMahpbwZ+i3D4//GUwv2cEnrYPy8PZwdnYiIiIjLsrQcSHKT4QSdWEabXTOJGTaYFsH1yr5QRERqtUovh7Farbz55ptMmTKFmTNnsmzZMs6cOVOdsUlZDANGTQeLO61SVnNdwD4S0rN5aUndaUYrIiIi4ihB4/5LARZGWTby9XdfOzscERGpAZUugjz44INMmzaNxMREHnvsMS6//HJCQ0Np1qwZY8eOrc4Y5WJC2kCf+wB4yusT3Mnnw7WxbI9LdW5cIiIiIq4utB1n218PwLC4V9kcqy/0RETqukoXQb799ls++ugj5s6di5eXF5s2beLll18mOzub5s2bV2eMUpbB/wDfYHzTj/Bis/XYbPCv73aSby1wdmQiIiIiLi1gzJPkGl70tBxk6bfvqsm8iEgdV+kiSEZGBh06dADAw8MDd3d3Jk2axNSpU/H29q62AKUcfAJh+DQAxqV9TAvvLHafTOeD32KdGpaIiIiIy/NvTF6fvwFwTep7LN4R5+SARETEkSpdBGnZsmXhbjBNmjThxIkTAFx11VV88skn1ROdlF/3m6FRFyw56bwTsQiAmT8f4GTqOScHJiIiIuLa6g2dQpZ7IK0s8ez9cQ65+ZpNKyJSV1W6CDJhwgQWLbL/Y3vw4MG89957AOzZs4dz5/QP7xpncYMxLwDQMu5brmtyhqxcK08u2O3kwERERERcnLc/bkMfA+CWnM/4fPUeJwckIiKOUukiyFNPPcVTTz0FwD/+8Q+WLVtGSEgI1157LTfddFN1xScV0bw/dPoLBjae9vgYDzf4eU8iP+1OcHZkIiIiIi7Nq+9dnPVtRoiRzrnls0g7l+fskERExAEqXQT5o2bNmrF7925eeOEFvvrqK6Kjo6vjtlIZlz0D7j74JGxgZocjADw5fzcZOflODkxERETEhbl74jvmGQButn3Ph0vWOTkgERFxhGopggAEBwdzxx13MHbsWAzDqK7bSkUFNIWBUwC4MuE12gZZSEjP5qUl+50cmIiIiIhrc+s0nrSGXaln5BCyeTbHU7KcHZKIiFSzaiuCiAsZ8CAENMM4e5K3Wq4G4MPfYtl5PM3JgYmIiIi4MMPA/6r/AnCt8QsfL1ji5IBERKS6VboIkpaWxr333kvr1q1p37498fHx1RmXVIWHD4z8DwDN973D7R0tFNhg6nc7yLeq27mIiIhIaYzIS0lvdhnuRgE9D72iL5FEROqYShdBJk6cyM6dO3nhhRc4evRo4Y4wjzzyCHPmzKm2AF1BdHQ0HTp0oHfv3s4Opfw6jIPIgZCfzVS3ufh7u7PrRDofrT3q7MhERERMp1bmEibmf+WzFGBhpNtmvvnuK2w2m7NDEhGRalLpIsiiRYt47bXXmDBhAm5uboXHR40axYcfflgtwbmKiRMnsmfPHjZu3OjsUMrPMGD082BY8DrwPbP6ZgDw0pL9nEzVFsYiIiI1qVbmEmYW2o6sTjcCMPb06/y6L9HJAYmISHWpdBHEZrPh5+dX7HhUVBQHDx6sUlBSTRp1gp53ADAs9iX6NPMnM9fKUwt2OzkwEREREddWf+QT5Fq86WE5xKoF72tJsYhIHVHpIsiYMWOYO3duseOZmZnaHcaVDHscvAMxEnfzatsduFsMluxJ5KfdCc6OTERERMR1+TemoN9EAG7J/ICvNsQ4OSAREakOlS6CTJ8+nejoaJ5++mlsNhuGYZCdnc1//vMfevToUZ0xSlX4BsHQfwEQtmkGkwc0BOCpBbvJyMl3ZmQiIiIiLs178COc82hAS0sCR39+nUzlTiIitV6liyDNmjXjt99+47fffiMrK4s+ffoQGBjIihUr+N///ledMUpV9boLQtrDuWT+xtc0C/IlPi2bWT8fcHZkIiIiIq7Lyw+P4VMBuM/6KQ/97zWufvw1Js14j99WLYXUOCcHKCIiFWXYqqHd9bFjx9i+fTseHh707duXBg0aVEdsLic9PZ2AgADS0tLw9/d3djgVc2Q5fDQODDc2jvmea79NxWLAgkmX0qlJgLOjExERk6vVY2wFmOU565TkGGyvdKOkxd5Wiyduk7dAYESNhyUiIkWVd4yt9EyQP2rWrBlXXXUVo0ePrrMFkFqv5RBodyXYrPTe+z/GdmlMgQ2mfrsTa4G2fRMREREpUXZaiQUQALeCXMg6U6PhiIhI1VSoCHLs2LEK3fzEiRMVOl8cbOSz4OYFMSt4pl0sft7u7DyRxkdrY50dmYiIiIiIiIjDVagI0rt3b+67776L7nGflpbG22+/TadOnfjmm2+qHKBUo6AWMGASAIErn+JfI1sAMOOn/cSnnXNiYCIiIiIiIiKO516Rk/fs2cNzzz3HZZddhre3Nz179iQ8PBxvb29SUlLYs2cPu3fvpkePHrzwwgtcfvnljopbKuvSKbDtU0g9yvX53/NVs35sOZbKUwt28+YtvZwdnYiIiEitsmD7ScaGd3N2GCIiUk4VmgnSsGFDZs6cSXx8PHPmzCEqKoqkpCQOHjwIwF//+lc2b97M2rVrVQBxVV71YcTTAFhWvcQLI4Nxtxj8tDuRn/ckOjk4ERERkdplz+p5TJu/i3xrgbNDERGRcqiW3WHMos50dLfZ4N2RcHwDdLmB//k+wuvLDxMe4M3PUwZTz6tCE4RERESqrM6MsWUwy3PWKalxMKcn5OeUesrzeTewt+WdzPlrD/y8PWowOBEROa9Gd4eRWsYwYMzz9t/v+JyH2qYSEeTDybRsZv18wLmxiYiIiLiSwAiYtBnuXVH0dc+v0O2vADzm8TmXxfyP615bzfGULCcHLCIiF6MiiFk16QndbgbA++epPDO2AwDvrYlh14k0Z0YmIiIi4loCIyC8W9FXkx4w/jUY/Tw2DG52X8ajKU9x45xlbItLdWq4IiJSOhVBzGz4NPD0g5NbGHpuGVd2aUyBDf713U6sBVolJSIiIlKmfg9gXP8xNjdvhrlt47W8x5n05kIW7ox3dmQiIlICFUHMzC8MBj9q//3Sp3jysgj8vN3ZcTyNj9fGOjU0ERERkVqj/VUYd/xIgW8wnS2xfO72BLM+XUD0r4dQ+z0REddiuiLIDz/8QNu2bYmKiuKdd95xdjjO1/cBCGoFmacI2foK/xzdDoAZSw6QkJbt5OBERERcj3IJKVHTXlju/hlbw9Y0NZL4xvMpVv/8LY9+vYPcfO0cIyLiKkxVBMnPz2fKlCn88ssvbN26lRdffJEzZ844OyzncveE0dPtv1/3Oje1yqN7s0AycvJ5+vvdzo1NRETExSiXkIsKaolx18/QrD/+RhYfejxPwdZPueXd9aRm5To7OhERwWRFkA0bNtCxY0eaNGlC/fr1GTNmDEuWLHF2WM4XNRJaj4CCPCw//5v/Xt0ZN4vBol0JLN2T6OzoREREXIZyCSmTbxDcMg86TsDTsDLT8w36HnuHq6PXEJOU6ezoRERMr1YVQVauXMlVV11FeHg4hmEwb968YudER0cTGRmJt7c3ffv2ZcOGDYXvnTx5kiZNmhT+3KRJE06cOFETobs2w4BR08HiDgcW0z5jA3cPbAHAkwt2k5mT7+QARUREqodyCakRHt7wl3fhkocAmOLxNX9Lm8m10ctZf0Qzh0REnKlWFUEyMzPp2rUr0dHRJb7/xRdfMGXKFJ588km2bNlC165dGTVqFKdOnarhSGuhkDbQ93777xc/xkNDImnawIcTqeeYvfSAc2MTERGpJsolpMZYLHDZM3DFTGyGhWvdVzIr/7/c/+6vfLP5uLOjExExrVpVBBkzZgzPPvssV199dYnvz5w5k3vuuYc77riDDh068MYbb+Dr68t7770HQHh4eJFva06cOEF4eHiNxF4rDHoUfIPhzEF8t73Hf8Z3AuC9NbHsPpnm5OBERESqTrmE1Ljed2Hc+AU2j3oMdNvFZ25PMeOrX5jx034KCrRzjIhITatQEaRFixa0bNmywq9XXnnFUfEXys3NZfPmzYwYMaLwmMViYcSIEaxduxaAPn36sGvXLk6cOEFGRgaLFi1i1KhRpd4zJyeH9PT0Iq86zScQhk+z/3758wxtYnBFl8ZYC2z867tdWDVQi4hIHaZcQhymzUiMOxZiqx9GO0sc87ye4NflS3nw861k51mdHZ2IiKm4V+TkDz74oFIfEhkZWanrKiIpKQmr1UpYWFiR42FhYezbtw8Ad3d3XnrpJYYOHUpBQQH/+Mc/aNiwYan3nD59Ok8//bRD43Y53W+GTe9C/Hb45T88eeULrNx/mu1xqcxdf5Rb+0c6O0IRERGHUC4hDhXeDePuZTD3WsJO7+ULz2eYtGsyN6Sc4+1bexHi5+XsCEVETKFCRZDBgwc7Ko4aM3bsWMaOHVuuc6dOncqUKVMKf05PTyciIsJRobkGixuM/h+8Pxq2fERorzv5x+i2PDF/Ny8s3s+ojo0I8/d2dpQiIiJOo1xCKi0wAu5cDF/eQv2YlbzjOYMnTp5hfHQO793em7aN/JwdoYhInVereoJcTHBwMG5ubiQmFt3SNTExkUaNGlXqnl5eXvj7+xd5mULz/tDpGsAGi/7JTX2a0S0ikIycfJ7+frezoxMREXEI5RJSI3wC4a/fQNcbcaeA6R7v8teM97n29dWsOHDa2dGJiNR51VIESU5OpqCgoDpuVWmenp707NmTZcuWFR4rKChg2bJl9O/fv0r3jo6OpkOHDvTu3buqYdYelz0DHr4Qtw63Pd/y36s742YxWLgzgV/2JZZ9vYiISC2jXEJqjLsnjH8dBj8GwN/cF/Bswcvc/8FvfLzuqJODExGp2ypdBNmzZw/PP/88AwYMICQkhNDQUG699Va++eYbMjMzqzPGQhkZGWzbto1t27YBEBMTw7Zt2zh27BgAU6ZM4e233+bDDz9k7969PPDAA2RmZnLHHXdU6XMnTpzInj172LhxY1UfofYIaAKXPmL//c/T6BDsxt2XtgDgiXm7ycrNd2JwIiIilaNcQlyGYcDQqTDuNWwWd8a6reUD9/8yY946nvl+jxrSi4g4SIWKIPv37+f//u//iIqKol+/fmzcuJH777+fxMREFi5cSPPmzXnmmWcIDg5mzJgxvP7669Ua7KZNm+jevTvdu3cH7IlK9+7dmTbNvqPJ9ddfz4wZM5g2bRrdunVj27ZtLF68uFiDMymnAQ9CYDNIPwGrZ/PQiCiaBPpwIvUcLy896OzoREREKky5hLic7n/F+OvX2Lz86WvZx7eeT/Lzb+u496NNZOboSycRkepm2Gy2cpeZ33//fdavX8+4ceMYPnw4np6eJZ4XGxvL/Pnz+f7771m6dGm1Bets6enpBAQEkJaWZp41vXvmw5e3grs3TNzAL4ne3PnBJtwsBt9PupQO4Sb5cxAREYcyyxhrlueUSkjcDXOvg/TjJNkCuCv3/8hr1IN3b+9F4wAfZ0cnIuLyyjvGVqgIYlbR0dFER0djtVo5cOCAuRIXmw0+vApiV0GHcXDdR/xt7mYW7kygW0Qg3zwwADeL4ewoRUSklqvrxQFT5xJSfunx8Om1kLCTbDx5MHcS2+tdwru39aZz0wBnRyci4tJqtAhy7tw5kpOTadKkSZHju3fvpmPHjlW9vcuo6wlaqRJ2wZsDwVYAt/1AYsPeDH9pBRk5+fxnXEdu6R/p7AhFRKSWM8sYa5bnlCrIOQtf3QGHfqYAg2fybuELyxXMvqEbozpWbpciEREzKO8YW+XdYb7++muioqK44oor6NKlC+vXry9875Zbbqnq7cUVNOoEve60/37xY4TVc+cfo9sC8MLi/SSmZzsxOBEREZE6xMsPbvwcet6BBRtPeXzE320f8LdPNvLWysNoEreISNVUuQjy7LPPsnnzZrZt28b777/PXXfdxaeffgqgv6TrkqH/Bu9ASNwFWz7gr32b0zUikLM5+Tzzwx5nRyciIiJSd7i5w5WzYMRTANzlvoho95eZuXA7//puJ3nWAufGJyJSi7lX9QZ5eXmFHdN79uzJypUrufrqqzl06BCGoV4RdYZvkL0QsuhR+OU53DpO4L9Xd2LsnDX8uCOe7XG/cPpsDi2C6/HwiChGd2rs7IhFREREai/DgEsfgYAIbPMeYDQb+cx4jrs3/B9bj6VgtcGxM1nKvUREKqjKM0FCQ0PZsWNH4c9BQUH8/PPP7N27t8jx2iw6OpoOHTrQu3dvZ4fiXL3uhJD2cC4Zlj9Px/AAhrYNAeB4yjly8gvYn3CW+z/ZwuJd8U4OVkRExHUol5BK63wNxq3zwTuQ7pZDLPB6nGanfsXz1E5aWw/jnriDV+d+w/INm50dqYhIrVDlxqirV68mKiqqcDbIH61Zs4ZLLrmkKrd3KWpmBhxZDh+NA8MN7l/NyE9PcyAxo8gphgHtGvmx6KFBzolRRERqHbOMsWZ5TnGApIP2HCz9RIlv5+KB58NbITCihgMTEXENNdYY9bXXXmPcuHH87W9/Y968eZw9e7bwvbpUAJHftRwC7a4EmxUWP8bRM5nFTrHZ4Mjp4sdFREREpJKCo2BcdKlve5IHWWdqMCARkdqpykWQTz/9lLVr13LnnXeyZ88exo8fz7Bhw/jPf/7D+vXr1Ry1Lhr5LLh5QcwKbvLfSUmdXxr4euh/exEREZHq5NPgom+/vOwAp8/m1FAwIiK1U5WLIACGYdCrVy/+9a9/sWzZMhYsWEDXrl356KOP6Nu3b3V8hLiSoBYwYBIAjxof4Ukuf+6Bm5Cew/2fbCYtK88JAYqIiIiYz7I9CQybsZx3V8doBxkRkVJUSxEkJSWF5ORkAE6fPs2SJUto1aoV0dHRbNiwoTo+wqnUzKwEl04Bv8b4Zh7n+17badfIDy93C+0b+XFdz6Z4uBn8tDuRy19Zxeajyc6OVkRExKmUS0hNeM3ndaJy9/CfH/Zw+curWHMoydkhiYi4nCo3Rn3nnXf473//C8Cjjz7K3Llz6dq1K6tWrWLy5Mncfffd1RKoK1Azsz/Z/gV8dy+4e8P1n0C9kMK39qV7cv/3icSeycLNYjDlsjY8MLgVFou2TRYRkeLMMsaa5TnFQU5ug7cGl3nafGMoT5+7nmT8GdOpEf++oj1NG/g6Pj4REScq7xhb5SJIly5dWL9+PefOnaNZs2bExMQQEhJCWloagwcPZtu2bVW5vUtR4vInqcdgdheghP8LuXuRcc96/v1rKvO3nQTg0tbBzLy+K6F+3jUbp4iIuDyzjLFmeU5xkNQ4mNMT8kvo++HmBe2ugN3fAnDOzY/nsq/lU+swPNzdeWBIK+4f3ApvD7caDlpEpGaUd4x1r+oHubu74+Pjg4+PD61btyYkxD4bICAgAOPPjSKkbslKpsQCCEB+DvWtacy+vhuXtA7myfm7WX0oictfXsXM67oxqE1IydeJiIiISMkCI2DS5pJ3gfFtaH+/3wPw4xR8EnbyrMd73OG7ioczbmP20gK+3nycx6/owKiOYcrTRcS0qtwTxM3NjezsbABWrFhReDwjI6Oqt5Y6wDAMrusVwfcPXkK7Rn4kZeRy63sb+N/ifWrYJSIiIlJRgREQ3q34KzDC/n5EH7hnOYz+H3j50yrvIAu8nmCm74ecTTnN/Z9s5tb3NnDo1FlnPYGIiFNVuQiydOlSPD09Afvsj/OysrJ46623qnp7qSNah/oxb+Il3NyvGQCvLz/M9W+u5XhKlpMjExEREalj3Nyh3/0waRN0uR4DGxMKfmJt/X9wg/tKVh88xejZq3j2hz2czdZOfiJiLlUugmRkZBAfH1/seGhoaJ3pgK6O7pX0p3Yz3h5uPDu+M6/9tQd+3u5sOZbK5S+vYvGu4v//ERERqUuUS4hT+IXBhLfg9h8hpB2++ak87/4GPwdMJ8oWyzurYxg6YwVfbYqjoKBKbQJFRGqNSjdGXbNmDTfffDPHjh0DIDg4mNtvv51///vfdbbRl5qZ/UlZHcojB8JNX4BnvWJvxSVn8eBnW9kWlwrALf2a8+8r2qtZl4iISZlljDXLc4oLsubButdh+fOQl4nNsPCt+xU8dXYcZ/Gle7NAnh7bkS5NA50dqYhIpZR3jK30TJD77ruP9u3bs3HjRvbv38+LL77I0qVL6dGjBydOnKjsbaU28W0I7l6lvx+7Ct4fA+kni70VEeTLV/f35/7BrQD4eN1Rxkev4dAp9ZIRERERqXZuHnDJZJi0ETqMx7AV8Je871nn/xjXef7G1mMpjItewz+/3sGZjBJ2nxERqSMqPRPEx8eH7du306ZNm8JjNpuN6667DoCvvvqqeiJ0Ifr2pgSpcSV3KE89Bj88bH/PrzHc+BmEdy/xFisOnGbKF9s4k5mLj4cbz4zryDU9m6pruYiIiZhljDXLc0otcGgZLHwUkg8DcNC3Gw+k3MQhW1P8vN2ZclkbbunXHHe3Kq+eFxGpEeUdYytdBOnRowevvPIKl156aZHje/fupU+fPpw9W/c6TitxqaCUWPj0eji9D9x97GtSO4wt8dRT6dk88uU21hyyF1Su7t6E/4zvRH2vKu/iLCIitYBZxlizPKfUEvk58NsrsPIlyD9HgeHOt17jmJZ6BVl40zbMjyfHdmBAq2BnRyoiUiaHL4e5/fbbefDBB4mLiytyXIO6FGoQCXctgdYjIP8cfHkLrJxRrGEqQKi/Nx/d2Ze/j2yDm8Xgu60nuPKVVew6kVbzcYuIiIiYgbsXDHoUJq6HtpdjseVzTfY3bAycyl98NrM/MZ2b3l7PxLlbOJF6ztnRiohUi0rPBLFY7PUTT09PJkyYQLdu3bBarXzyySf861//4q9//Wu1BuoK9O1NJVnzYcm/Yf0b9p+73ABjXym1n8jG2GQe+mwrJ9Oy8XSzMPXydtw+IFLLY0RE6jCzjLFmeU6ppfYvhkWP2pc1Awf9+nLfmes4UtAYbw8LE4e05p5BLdXIXkRcksOXwyQmJrJt2za2b9/Otm3b2LZtGwcPHsQwDNq3b0/nzp3p0qULXbp0YfTo0ZV+EFeixKWKNr4DC/8BNitE9IMb5kK9kqdXpmbl8ujXO/h5TyIAI9qH8eI1XWhQz7MmIxYRkRpiljHWLM8ptVjeOVg1E9bMBmsuBRZPvvW5hn+fGUkOnkQE+XBF58Ys33+amKRMWgTX4+ERUYzu1NjZkYuIyTm8CFKS7Oxsdu7cWaQ4smvXLlJTU6vrI5wiOjqa6OhorFYrBw4cUOJSFYd/gS9vh5w0CGxu30I3tH2Jp9psNj78LZb/LtxHrrWAxgHevHxDd/q0CKrZmEVExOHqenFAuYTUOmcO2xunHl4GQKZvE57MvZXfMhrTwLjQ+88AbMCjV/dnSJ+ezolVRAQnFUHqurqeoNWY0wfg0+sgJQa8/OGa9yFqRKmn7zqRxoOfbSUmKROLAY+MaMPfhrbGzaLlMSIidYVZxlizPKfUETYb7F0Ai6dC+gkArBi4UfyfD7l44PnwVgiMqOkoRUSAGmiMunHjRoYPH06XLl2YMGECzzzzDAsWLODYsWOVvaWYRUgbuOcXaH4J5KTDp9fC+rdKPb1TkwC+f/BSru7ehAIbvPTzAW55dz2n0rNrMGgRERERkzEM6DAOJm6ASx4Cw63EAgiAJ3ms232QggJ9vyoirq3SRZBbbrkFNzc37r33Xlq0aMGKFSu44447iIyMpGHDhtUZo9RFvkFwyzzodjPYCuxNuH78P3sT1RLU93Jn1vXdmHFtV3w83Pjt8BnGvLyK5ftP1WzcIiIiImbjVR8uewauee+ip/3nhz2Mmr2SrzcfJze/oIaCExGpGPfKXhgXF8ePP/5Iq1atihw/evQo27Ztq2pcYgbunjBuDgRHwdKn7I1Tk4/Yl8f4BJZ4yTU9m9K9WSAT525hX8JZbn9/I/cNasnfR7XFw63SNT0RERERKUuDyIu+HeKZy/JTGfz9q+3MXLKfuwa25IbeEdTzqvQ/OUREql2l/9XYv39/Tpw4Uex48+bNGTduXJWCEhMxDLj0Ybj+E/DwtTdOffcyezGkFK1C6jNv4iXc2r85AG+uPMK1b6wlLjmrhoIWERERkT973/NFvm3zM1H1szmZls1/ftjDJf/7hZk/HyA5M9fZ4YmIAFUogjzyyCM888wzJCcnV2c8Ylbtr4Q7F4NfOCQdgLeHQ+yaUk/39nDjmXGdeOPmHvh7u7MtLpXLX17FjzviazBoERERETnPyMuix7H3WcJEFrddSO8GWaRm5fHKsoMMeH4ZTy3YzfEUfWklIs5V6d1hLBYLhmHQoEEDxo0bR//+/enevTudO3fG09OzuuN0CeroXgPS4+HzG+HkVrB4wFUvQ/e/XvSS4ylZTP5sK1uOpQJwU99mTLuyA94ebjUQsIiIVAezjLFmeU6po1LjYE5PyM8p/p67F4x+AbZ8YM/jAJvFg7hm4/lP6ih+TvAFwM1iMK5rOPcNbkXbRn41GLyI1HUO3yL3yJEjbN++vcgrNjYWDw8P2rZty44dOyodvKtS4lJDcrNg3gOwZ57950sehuFPgqX0iUt51gJm/XyA11ccxmaDtmF+zLmpO1FhGlxFRGoDs4yxZnlOqcNS4yDrTPHjvg3t2+PabPblzategqP2Wb02w8Lp5lfx0rkr+OJo/cJLhrcL5f4hregdGVRT0YtIHebwIkhpH7p9+3Z27NjBxIkTq+u2LkOJSw0qKIDl02HlC/af210JE94Cz3oXvWzVwdM88sU2kjJy8faw8MzYTlzbqymGYdRA0CIiUllmGWPN8pwiABxdC6tmwKGlhYfSmo/m9YLxvHnIn/P/CunVvAEPDGnF0LahWCzK2USkcpxSBKmroqOjiY6Oxmq1cuDAASUuNWnHlzB/IlhzoVEXuPFzCGhy0UtOnc1myhfbWX0oCYCxXcMZ2jaEN1ceISYpkxbB9Xh4RBSjOzWuiScQEZFyqOvFAeUSYmont9lnhuz9HrD/0yOr2RA+dr+Gl/YHk2u1b6fbJqw+9w1qxdhu4dr1T0QqzCFFkGPHjlUqmMDAwDox0Nf1BM1lHVsPn98EWUlQvxHc+Bk06XHRSwoKbLyx8jAvLTmAtcD+f3ED+7B7/tc3bu6hQoiIiIswyxhrlucUKdGpfbB6Fuz8CmxWAHKb9OW7+jfwn33hZOTYjzUJ9OHugS24vncEvp7aXldEyschRRDLRXoylPoBhsGTTz7JtGnTKnytq1Hi4kQpR+HT6+H0XnD3gavfgI7jy7xs89Fkrn9zHfkFRf9vbhjQrpEfix4a5KCARUSkIswyxprlOUUuKjkG1rwM2+baZ/sC+Y26srThzTyxL5LTmXkANPD14LYBkTQN9OGd1TGa0SsiF6XlMA6gxMXJstPh6zvh0M/2n4c9DgP/bq9oXESbfy8qnGb5R57uFg48O8YRkYqISAWZZYw1y3OKlEv6SfhtDmx+H/LsW+cWBLdlXfhtPH6oLUeScwgniQbG2cJLzs/offTq/gzp09M5cYuIS3JIEaRFixaVajD58MMPM3ny5Apf52qUuLgAaz4seRzWv27/ucv1MPZV+7ZspRg9eyX7E87y5/+ju1kMpl3ZgRv6RODlru10RUScySxjrFmeU6RCMpNg3euw4W3ISQPAFticfeFX03J3NF5GXrFLcvHA8+Gt9h1pRERwUBFkxYoVlQomMjKS5s2bV+paV6LExYVsfBcWPmpfTxrRF66fC/VDSjx18a547v9kC4Zh37Xt/DcI54UHeDNpWBTX9mqqJlwiIk5iljHWLM8pUinZabDxHVgbXfI2vH/yUeePGDr0MiKCfGsgOBFxdVoO4wBKXFzM4V/hy9vs3xgENoMbv4CwDiWeunhXPC8vO8iR05m0DKnHxKGtScnKI/qXQySkZwMQEeTD5GFRXN29Ce4qhoiI1CizjLFmeU6RKsnNgi0fwsoZ9sb4pbgi5zn20IJBUSHc1LcZw9qF6gstERNzSBFkwIABdOvWrfDVpUsXvL29qyXg2kCJiws6fQA+vQ5SYsDTD659H6IuK/fl2XlWPl1/jNeWHyYpIweAlsH1eGhEFFd2CcdNe9WLiNQIs4yxZnlOkWoRtxHeHVHq24+HvMoncQ0Lfw718+L63hFc1ytCs0NETMghRZBnn32WHTt2sH37dg4fPoxhGERFRRUpjHTr1o3Q0NBqeQhXo8TFRWUlwxe3wNHVYFhg1HToe1+ZDVOL3CI3n4/XHuWNFYdJybKvO20TVp9HRrRhVMdGWFQMERFxKLOMsWZ5TpFqcXIbvDW49Pf9m5Lc5S4+OncJn2xPJynDvtOMYaDZISIm5PDlMBs2bGD8+PFceumleHh4sHXrVvbt24dhGISFhXHy5MlKB++qlLi4sPxc+PER2PqJ/eded8KYF8DNo0K3ycjJ54M1Mby18gjp2fkAdGjsz5TL2jC8fWilGgOLiEjZzDLGmuU5RapFWUWQ89y9sXa4mnVB43n9YCCrD1/oJ3J+dsj1vSNo2kCzQ0TqMocXQXr27Mnjjz/O1VdfXXhs4cKF3Hvvvdx2220899xzlbmtS1Pi4uJsNvjtVfh5GmCDlkPg2g/BJ7DCt0o7l8e7q47w3ppYMnLsxZCuEYFMuawNg6KCVQwREalmZhljzfKcItUiNQ7m9IT8nOLvuXnBkH/Cru8gceeF4426cKbDLXyQ3pvPtiUVmR0yuE0IN/ZpxvB2oer/JlIHObwI4uvry+7du2nRokWR4wsWLGDWrFn8+uuvlbmtS1PiUkvsWwjf3A15mRDcBq6cBZ71i5/n27DMbdVSMnN5c+URPvwtlnN5VgB6NW/AlJFtGNAq2BHRi4iYklnGWLM8p0i1SY0reaeY83mczQbHN9p3Dtz9HVh/L5h4BWDtcj2rA8bx9j4PVh+60GBVs0NE6iaHF0EGDx7M0KFDeeqpp4ocj4mJoVOnTmRmZlbmti5NiUstEr8DPrsB0k+Ufo67F0zaXK795U+fzeGNFYf5eN1RcvMLAOjfsiH/N7INvSKDqitqERHTMssYa5bnFHGKzDOwbS5ses/eNP+85pdyqt3NfJDciS+3JpQ4OyTfWsCrvxwiJimTFsH1eHhEFKM7NXbSg4hIZTi8CLJ582aGDRvGhAkTeOSRR+jUqRO5ubn8/e9/5/vvv+fo0aOVDt5VKXGpZc4mwIfjIGlf6efcuwLCu5X7lonp2UT/eojPNhwjz2r/T2dwmxCmXNaGrhGBVYtXRMTEzDLGmuU5RZyqoACO/AIb34MDi8Bm/wKLeqFYu93Ccr8reH9XfpHZIX9kADbgjZt7qBAiUos4vAgCsG/fPiZNmsQvv/yCh4cHBQUFuLu78+6773LTTTdV9rYuJzo6mujoaKxWKwcOHFDiUpscWw/vjSz9/QoWQc47npLFnF8O8dXm41gL7P8JjWgfxpTL2tAhXP/fEBGpqLpeHFAuIeIkacdh84ew5UPISLQfMywQNYrEtn/l/cRW/LBqIwGcLXKZAQQEN2Lu/11T8zGLSKXUSBHkvGPHjrFt2zYsFgs9e/akceO6WTGt6wlanVRWV/FKFkHOO3omk5eXHWTe1hP8Xgvh8s6NeGREG6LC/Cp9XxERszHLGGuW5xRxOdY82PeDvXdI7KoLx/2bkJ8Wj7tRUOySbJsH05p9wKW9ejCifSi+nu41GLCIVFSNFkHMQolLLVRWEWTCW9Dl+ip/zKFTGby87CA/7DiJzWZfYzq2azgPDY+iZUgJTVlFRKQIs4yxZnlOEZd2+oC9b8i2TyEn7aKnXpHzHLttLfD1dGNkhzDGdW/Cpa2D8dDuMiIuxyFFkGPHjlUqmMDAwDox0CtxqYXKs798zztg+DTwrXqD030J6cz6+QA/7bZPt3SzGFzdvQkPDY8iIkjdx0VESmOWMdYszylSK+RmwerZsPJ/pZ7yUeePePuwH3HJ5wqPBdXz5IrOjRnfPZwezRpgGEYNBCsiZXFIEcRiqXjF0zAMnnzySaZNm1bha12NEpda6GL7yxuWC42yfBrAsCeg5+1gcavyx+46kcbMnw/wy75TALhbDK7tFcGDw1oTHuhT5fuLiNQ1ZhljzfKcIrVGWV+YhbTH1utOdjQYznf7svlhx8nC3WUAmjbwYWzXcMZ1a0LbRloKLeJMWg7jAEpcaqmL7S+fegwW/QMSd9mPNeoCl8+AZn2r5aO3HEth1s8HWHXQ3n3c083CJa0bEpdyjrjkLG3BJiLyO7OMsWZ5TpFaozyzhgEs7tD6MqydruU39z58t+sMP+1KIDPXWnhKu0Z+jOvWhKu6NqZpA80AFqlpDimCtGjRolLTvR5++GEmT55c4etcjRKXOsqab18X+uuzkP37utCuN8KIp8EvrFo+YkNMMi8t2c/6mOQix7UFm4iInVnGWLM8p0itUVYRpP8kiF0N8dsuHPPyhw5jye1wLT9nRTFvezzL958iz3rhn1W9IxswtlsTrujcmA0xZ5i99CAxSZn6AkzEgRxSBFmxYkWlgomMjKR58+aVutaVKHGp4zJOw7KnYesngA08/WDIY9D3PnDzqPLtbTYbg178tcia0vOaBfmy4tEhWlMqIqZlljHWLM8pUmtcbOm0uxdM2gyBEXB6P+z4AnZ8BWl/6JPo3wQ6X8vZNn/hx8RA5m87ybqYM5z/F5bFoHAHQdAXYCKOpOUwDqDExSSOb4aFf4eTW+w/B7eFy1+AlkOqfOu2jy8iJ7/4FmwALUPqcXPf5vylZ1MCfKpedBERqU3MMsaa5TlFapWLLZ0OjCh6rKAA4tbB9s9h97yiu8uEdYau15PY/EoWHLYxf/sJkk8coYFxtsgtDCAwpBGfTLmm2h9FxMwcXgS59dZbGTp0KIMGDaJVq1aVDrQ2UeJiIgUFsO0TWPrUhUGxwzgY+VzxwbACRs9eyf6Es/z5P7o/fkvg4+HGuG7h3NyvOZ2aBFT6s0REahOzjLFmeU4RU8jLhoNL7DNEDvwEBXm/v2FAy8HQeiQ5Pz2Jl5FX7NJsmwdPN/+Ifj26Mrx9GPW93Gs2dpE6yOFFkLvvvpuVK1dy6NAhmjRpwuDBgxkyZAiDBw8mKiqq0oG7MiUuJnQuBX6dDhvftu8k4+4Dg/4P+j8IHt4Vvt3iXfHc/8kWDANsNgp/nX1DN85m5/Px2lgOJGYUnt+9WSC39m/OmE6N8fao+q41IiKuyixjrFmeU8R0spJhzzzY8SUcW1uuS67IeY7dthZ4ulsYFBXCFV0aMbx9GP7emhEsUhk1thzmxIkTrFy5khUrVrBixQoOHDhA48aNOX78eFVu65KUuJhYwk5Y+A849pv95wYtYMz/oM2oCt9q8a54Xl52kCOnM2kZUo+HhrdhdKdGgL1vyMbYFD5ed5RFO+PJ/316SFA9T67rFcFf+zYjIkjdxkWk7jHLGGuW5xQxteQY2Pk1bPkA0kr/N9FHnT/ig5gAjiRlFh7zcDMYGBXCmE6NuKxDGIG+njUQsEjdUGNFkKysLFavXs2vv/7K8uXL2bJlCx06dGDr1q1Vua1LUuJicjabfUD7+Qk4G28/FjUKRk+HhtW/JOzU2Wy+3BjH3PXHiE/LBuwzR4a2DeWWfs0Z1CYEN4saqYpI3WCWMdYszykiwMmt8NaQ0t/vOAFb77vZ79WRhbtOsWhnPAdPXZgR7G4xGNA6mCs6N+KyDo0IqqeCiMjFOLwI8q9//Yvly5ezdetW2rdvX7gcZtCgQTRo0KDSgbsyJS4CQM5ZWPkirH3NvvbTzRMGTIaBU8CzXrV/XL61gGX7TvHJuqOsOphUeDwiyIe/9m3Odb0iNCiKSK1nljHWLM8pIpS9/e55fo3tvec6Xs1Bz/Ys2n2KhTvj2ZdwoaGqm8Wgf8uGjOnciFEdGxFc34vFu+K19a7IHzi8CGKxWAgJCeGRRx5hwoQJtGnTptLB1hZKXKSI0wdg8T/h8C/2n/2bwqhnocN4+5QNBzhyOoO564/x1aY40rPzAfB0t3Bll8bc0q853SICtc2uiNRKZhljzfKcIkLZRZA2Y+Dob0V3mPELh47joePVHPFqV1gQ2X0yvfAUiwGtQ+tzIDGjcMtdbb0rUgNFkO3bt7NixQqWL1/OqlWr8PT0LJwNMmTIkDpZFFHiIsXYbLDvR1g89cKe8S0GwZgXIbSdwz72XK6V77ef5KN1sew6cWFQ7NTEn1v6NWds1yb4eKqRqojUHmYZY83ynCKCfevdOT0hP6f4e+5eMGkz1A+FI8th93f2nDLnQl6Hf9PCgshR73Ys2p3Iop3xbD+eRjhJJW69GxTSiI+09a6YVI31BDlv+/btzJo1i7lz51JQUIDVaq2O27oUJS5SqrxzsHo2rJ4F1hywuEOf+2DIP8Hbcdvc2mw2th9P4+O1R/l+x0ly8wsA8Pd255qeEdzcrxktQ+o77PNFRKqLWcZYszyniPwuNQ6yzhQ/7tsQAiOKHsvPsc8w3v0d7FsIuX8ocgQ0g472JTMn8+oT9P4leJey9e4bXb6kT9cu9G4RhIebpZofSMR1ObwIYrPZ2Lp1K8uXL2f58uWsXr2a9PR0unTpwuDBg5k1a1alg3dVSlykTMkx8NO/Yf+P9p/rhcJlz0CX68Hi2EEoJTOXLzfF8cn6o8Qlnys8fmnrYG7p35zh7UJx10AoIi7KLGOsWZ5TRKooLxsOL7MXRPYvgtwLDVOp3wgyEkq99PzWu37e7gxpG8qI9qEMaRNKgK+23pW6zeFFkAYNGpCRkUHXrl0Ll8EMHDiQwMDAysZcY66++mqWL1/O8OHD+frrr8t9nRIXKbeDS2HRPyD5sP3niL5w+YvgE1T+bwMqqaDAxoqDp/lk7VF+2X+K8/+FNw7w5qY+zQj19+L9NbFqoiUiLqU2jbGVzSOgdj2niLiIvHNwaOnvBZHFkJd50dNnt3ybT441ICkjt/CYm8WgV/MGXNYhjOHtw2gRXP3N/EWczeFFkB9//JGBAwfWygF8+fLlnD17lg8//FBFEHGc/BxY9xqsePHCYGW4ga2EpWLn14VWUyHkvLjkLD7dcIwvNsaRnJlb7H010RIRV1GbxtjK5hFQu55TRFxQbhZsfBt+nlb6OSOfo6DnHWxLzGXpnkSW7T3F/sSi/UNahdRjRHt7QaRHs0Dc3SzabUZqvRrvCVLbLF++nDlz5qgIIo6XfhKWPAG7yvj/2r0rILybQ0LIybeyaGcCj327g+y8gmLvtwyuxy9/H+KQzxYRKY/aNsZWJo+A2vecIuKCyrP1rrs3tBwK7S6HNqOJy63P0r32gsi6I2fIL7jwT8BAXw/ahvmxPiZZu81IrVbeMbZKDQJSU1N56aWXuPvuu7n77ruZOXMmaWlpZV94EStXruSqq64iPDwcwzCYN29esXOio6OJjIzE29ubvn37smHDhip9pohD+YfDNe/CVS87LQQvdzfGd29CaSXPI0mZjJ69kjdWHCY+7VzJJ4mI1ALKI0TE9Oo3gvxsOLAIFjwIM9oQ8e047rDN45NxDdjyxAjm3NSdq7s3IdDXg9SsPOJiDtDRiKGDEVP4aycjhk9/XuPspxGpdu6VvXDTpk2MGjUKHx8f+vTpA8CsWbP473//y5IlS+jRo0el7puZmUnXrl258847mTBhQrH3v/jiC6ZMmcIbb7xB3759mT17NqNGjWL//v2EhoYC0K1bN/Lz84tdu2TJEsLDwysVl0iVNe528fdrYFJWi+B67E84y58/yQD2JZzl+UX7+N/iffRr0ZDx3cMZ3akxAT5qoiUitYfyCBGp83wb2pdSl7b17t0/Q3Y67F9o33Y3fhsc32B/LX0K/6BWXNnucq7sdwX5E4ayc+9e2n9zW8m7zaR68Oq3QfTs2oXekdptRuqGSi+HGThwIK1bt+btt9/G3d1eS8nPz+fuu+/myJEjrFy5surBGQbfffcd48ePLzzWt29fevfuzZw5cwAoKCggIiKCBx98kMcee6zc9y7PNNacnBxyci785ZKenk5ERISmsErllDV1MbAZDJkKna8FN8cUHhbviuf+T7ZgGPaay/lfZ17XlZz8Ar7beoINMcmF53u6WxjRPpTx3ZowpG0onu4a+ETEMRyxTMTZeQQolxARB6nI1rtpJ+yzQvYthJiVUJBX9Pymfezvl6Jwtxkvdwa1CWFYu1CGtA2hYX2vanoYkepR3lyiSjNB/lgAAXB3d+cf//gHvXr1quxtLyo3N5fNmzczderUwmMWi4URI0awdu3aav+86dOn8/TTT1f7fUVKlHoM5j0Av/4XLnkIut8MHj7V+hGjOzXmjZt78PKygxw5nUnLkHo8NLwNozs1AuDGPs04npLFgu0n+W7LCQ6eymDhzgQW7kwgwMeDK7o05uruTejZrAEWi1GtsYmIOFpN5xGgXEJEHCQwovwN9QOaQO+77a/sdPvWu/sWwsGf7IWUixRAAIa3CyXhmCdnMnP5cWc8P+6MxzCgW0Qgw9uFMqxdGO0b+2EYyg2ldqh0EcTf359jx47Rrl27Isfj4uLw8/OrcmAlSUpKwmq1EhYWVuR4WFgY+/btK/d9RowYwfbt28nMzKRp06Z89dVX9O/fv9h5U6dOZcqUKYU/n//2RqRSLjZ10c0L+v8Nts6FtDhY+HdY8T/oPxF63QXe1fdt4ehOjS/a4KppA1/+NqQ1DwxuxZ74dOZtPcGC7SdJTM/h0/XH+HT9MZo28GFct3Cu7t6E1qGO+e9dRKS61XQeAcolRMTFePtDx6vtL2seHP0NtnwIu74p9ZIp3eHhm4ez/UQav+w7xS/7TrH7ZDpbj6Wy9VgqM5YcoHGAN0PbhTK8XSgZOfm8vvywdpkRl1XpIsj111/PXXfdxYwZMxgwYAAAa9as4dFHH+XGG2+stgAdYenSpeU6z8vLCy8vTfOSahIYYd8G92JTFwf/E7Z+AmtegbRjsPQpWD0L+twLfR+Aeg1rLFzDMOgYHkDH8AAeG9OedUfO8N3WEyzelcDxlHNE/3qY6F8P06mJP+O7NWFs13BC/b1rLD4REWcpbx4ByiVExIW5eUDLweAdcNEiCN/eg2Xp03RvM4rubcfwf0MHEp9l49d9p/ll3ylWHzpNfFp24Zdlf7Q/4Sz3f7JFu8yIS6l0EWTGjBkYhsGtt95Kfn4+NpsNT09PHnjgAZ5//vnqjLFQcHAwbm5uJCYmFjmemJhIo0aNHPKZItWqrKmLHj7Q5x7oeTvs/BpWz4SkA7DyRVgbbT/ef5J9WmMNcrMYXNI6mEtaB/Ps+E4s3ZvIvK0nWL7/NLtOpLPrRDr/XbiXS1oHM75bE0Z1akR9r0r/9SIi4hDKI0REKsHNC9KPw6Z37S+PejRuNZSb2ozmpr+MIturO2uPnOHXfaf4df0W/G3pxW4x++tUbLZhDGgVTICvmu6Lc1W6Mep5WVlZHD58GIBWrVrh6+tbLYFB6Q3N+vTpw6uvvgrYG5o1a9aMSZMmVaihWUVER0cTHR2N1WrlwIEDamYmNaegAPb9AKtesnf2BrB4QLcb4ZKHoWErZ0ZHcmYuP+44ybxtJ9l8NKXwuLeHhZEdGnF19yZk5uYz55dDmhIpIhdVk41RazqPAOUSIuLCUuNgTs/Sd5u5fw0kH4H9i+DAT3D25B9OMKBJT2g7BsK7k/Px9XiVtMuMzYNhOS+RYATTNSKQga2DGdgmhG4RgdpxRqpNeXOJChVB/rimtSwzZ84s97l/lJGRwaFDhwDo3r07M2fOZOjQoQQFBdGsWTO++OILbrvtNt5880369OnD7Nmz+fLLL9m3b1+xNb7VzREJmki52Gxw+BdYNROOrrYfMyzQcQJc+gg06uTc+ICjZzKZv+0k87ae4EhSZonnGIANNCVSRIqprjHWlfMIUC4hIi6qvLvN2GwQvx0OLLYXRc5/SVcO99ebxeIzRf+ere/lTv9WDRkUFcylUSFENvTFMAwW74pn9tKD+hJNKsQhRZChQ4eW6zzDMPjll1/Ke9sili9fXuLn3HbbbXzwwQcAzJkzhxdffJGEhAS6devGK6+8Qt++fSv1eRWhxEVcwrF19mLIwZ8uHGszBgb+H0T0dl5cv7PZbOw8kcZ3W0/w0dpYrAXFz2ke5Msvfx+Cm3aYEZHfVdcY68p5BCiXEJE6Jv2kfXbIgcX2L+ysuaWfe+9y4uu1Y9XBJFYdTGL1wdOkZBWdNdK0gQ+RDeux+lBS4Zdn+hJNysshRRCzU+IiLiV+h71p6u7vsA8NQORAezGk5RBwgW3K2jy+iNz8EqogQHB9L0Z1DOPyzo3p2yIId02FFDE1s4yxZnlOETGhY+vgvVGlv1+/kX3ZTOvh0GIQBZ7+7D6ZzsqDp1l18DSbj6aQZy35n6YG0LaRH4sfHuSY2KVOUBGkGmkdr7i0pEOwZhZs/xwK8u3HwnvYiyFtLweL84oLo2evZH/CWf78l4zFgII/HGzg68HIDo0Y3bkRl7QKxtNdBRERs6nrxQHlEiJS553cBm8NLt+5hhs07W0viLQaDuHdyMyzsSEmmSc+XEQAZ4tdkmLzo23b9lzSOpiBUSG0CauP4QJf+onrcEgRJCEhgQYNGpR7q7cjR47QsmXL8t7e5dX1BE1qudQ4WDsHNn8I+efsx0LawaVToNNfwM29/Os9q8niXfHc/8kWDMO+hPT8r3Nu6o6ftweLdsazZE8iyZkXpk76ebtzWfswxnRuzMCoYLw93Ko9LhFxPWYZY83ynCJiQmUVQUY/D8kx9mUzZw4Wfc+ngX0mc+Pu5C79D56U3lz1JMEAhPh5cWnrYC79fQfDRgHe1fcsUis5pAgyZ84c/vnPfzJy5EjGjh3LlVdeSUhISJFz1q9fz/z585k/fz7Hjh3j7NniVbzaSomL1AoZp2H967Dhbcj5fYuywObQ41ZY8QJYS+n8PWmzwwohLy87yJHTmbQMqcdDw9swutOFrSjzrQVsiElm0a4EFu9O4PTZC/HV83RjWPswxnRqxJC2Ifh6attdkbrKLGOsWZ5TREyorF1m/phrphy1F0MO/wJHVkBOWrk+4tvenzIvMYQNMWfIziu65DoqtP7vs0SC6duyIasPnlZzVZNx2HKYQ4cOsWDBAubPn8+6devo3bs3l19+OTExMfzwww8AXHHFFYwbN47LLrsMb++6U5FT4iK1SnYabHwH1r4GWUlln3/vCgjv5vCwLsZaYGPLsRQW7oxn8a4E4tOyC9/z9rAwpE0oYzo3Yli7UPy8tce8SF1iljHWLM8pIiZVmVnH1nw4sRkOL4O938OpPaXff8Lb0OkacgpsbD6awppDSaw+mMSOE2n88V+1f156reaq5lAjPUHOnDnDDz/8wMKFC4mMjGTcuHH079+/zq3N0jpeqdVys2Drx7ByBmSeKv08FyiC/FFBgY3tx1NZtCuBRbviiUs+V/iep5uFQW2CGd2pMZe1DyPA10NbqYnUcnW9OKBcQkSkHMrTV8Q32L50ptVQaDkUApqQmpXL2sNnWH0oidWHksg7c4wGRvEVCZZ6DZl+x+V0aOyPRbsU1jlqjOoAdT1BkzoubiO8O6L09+/5FZr0qLl4KsBms7H7ZDqLdsWzaGcCR5IyC99ztxi0CfNjT3y6tlITqcXMMsaa5TlFRCqlrCKIu8+F3nfnBbe1F0RaDYPml8C5FLJndcfbKL2vSJZvY/q3bMiAVg0Z0DqYlsH16twX+WZU3jFWC+xFzMKtjOUjn90Ife6B7reAX1jNxFROhmHQqUkAnZoE8PeRbTmQmFG4ZGZ/4ln2xNt7n5yv6J4vhLy89KCKICIiIiJ1xe0/gDUXDv9q7ydycgsk7be/1r8BFg8I7VhiAQTA28ijiVcWG7Pyfp9tnABAI39vBrRqSP9WDbmkdTA7jqdqhnEdVqGZIC1atKhUhezhhx9m8uTJFb7O1ejbG6nVyrttmcUd2l0Jve6EFoPsW7q4sMOnMxg5ayXWgpL/Krt9QCTD2oXSt2UQXu7aaUbEVZlljDXLc4qIVEpFmqsCnEuBmJUXiiKpR8v8iLy7l7PDGsnaw0msOXSGzcdSyM0vKPV8zTCuPRyyHGbFihWVCiYyMpLmzZtX6lpXosRFarWLDSpuXjD8SdgzD45vuHC8YWvoeQd0uwl8g2os1IoaPXsl+xPOcrG/zHw93RgYFczwdmEMaRdCqF/dadosUheYZYw1y3OKiFRaZZqrnpd8BLZ8DKtnln5OmzHQaQK0GAx+YWTnWQubrP52+Ayn4g6V2E+kwLsBkycMo2/LhgTV86zgQ0lNUE8QB1DiIrVeeQaVhJ2w6X3Y8QXkZtiPuXlBx6vts0Mi+rjc7JDFu+K5/5MtGAbYbBT++sDglqRk5bFs36kiW+8CdG0awLB2YQxvH0rHcH+tAxVxMrOMsWZ5ThERpynv7GeAkPbQcrC9IBJ5CWSnl9lP5CTBtGvkR/9WDenfsiF9WzQkwNe+7FyN+p1LRZBqpI7uYko5Z2Hn17DpXXth5LzQjtDrDuhyPXi7zn8Hi3fF8/Kygxw5nUnLkHo8NLwNozs1Auw7zew+mc6yfYn8su8UO44X3Ys+zN+LYe1CGdYujEtaN8TXU+2SRGpaXS8OKJcQEakhZRVBut5o34Y3fgf8cR6x4QYhbS+6Re/f6s9iYVLR3nmGAR3D/Qnz82bZvlNq1O9EKoI4QF1P0ERKZLPBiS2w6T3Y9c2Fjtwe9aDzNfbZIS60tW55nErP5tf9p1i29xSrDyWRlWstfM/T3cKAVg0Z3i6Uoe1CadrAV1V9kRpgljHWLM8pIuI05e0rkpUMsavgyHI4sgKSD5d973tXkOTfnnVHzrD28BnWHjnDkdOZpZ5uAG3C6vPTI+WcmSJVoiKIAyhxEdM7lwLbv7AXRJL2Xzge3sNeDOn0F/D0dV58lZCdZ2V9TDK/7E1k2b5THE8puu1ak0BvTqRmq6ov4mBmGWPN8pwiIk5Vmb4iqXGw9WNY8b/S7xvRH9pfad88IKwTWCwkpmez7sgZXvxiKQEU7yWSYvMjuGkr+rYIol/LhvSKDCLAp4xdG6VSVARxACUuIr+z2eDob/ZiyJ75UPD7ukmvAOh6g325TGj7qjW2cgKbzcbBUxks23uKX/YlsvloCiVtOmMAUaH1WTJFVX2R6mKWMdYszykiUitVpJ+ITwOIvBQiB0FwG3I/vgZPLt5LBC4sn+nboiH9WjakT2QQa48kadZxNVARxAGUuIiUIOM0bJsLm9+HlNgLx8N7QsJ2KMgvfk1JW5y5oJTMXHo/t5T8Urbf7RoRyNC2IQxtG0rnJgFYLGquKlJZZhljzfKcIiK1UllFkH5/gzOH7F8Gnt9AoByWD/man5LDWH8kmSNJpS+fAc06roryjrHq/iciVVM/BC59GAZMhiO/2meH7F8EJzeXfk1+jn2GiIsXQRrU86R1aP1St9/dHpfK9rhUZi89SMN6ngxuE8KQdqEMigom0Fdbp4mIiIjUKr4N7V/WldZPpN/f7PmrNc9eMIlZYe8rcvQ3sOaWetshjXIZMrgzGEbh8pn1McmsO3KG7NNHS9yS9+VvUsmzDqVviyBC/b2r8SFFM0HKQR3dRSoo/SSseBE2v1f6OfeuqBUNVUvbfvf5CZ0xDPh132lWH0oiI+fCjBeLAd2bNWBImxCGtgulQ2N/zRIRKUNdnyGhXEJEpJaozHLuuI3w7oiL39e/ye/LZ35/NWgBacfLtSVvi+B69IkMom/LIPq0CFLj/lJoOYwD1PUETaRalTWdMHIQ9LsfWl8G7q49a+Ji2+8C5OYXsPloCssPnGL5vtPsTyxazQ/x82JwG/uymUujggnw8dDAJfInZhljzfKcIiKmUlbea7iD7U9LxP2bQmgHOLSk1Msm+8/m+9Oh/Plf7EG+niRnXZh5oiU0diqCOIASF5EKKG9jKZ8g+64yXW+EJj3sUy1quROp51ix/zS/7j/Fmj9twetmMWjRsB6HTmdoxxmRPzDLGGuW5xQRMZWy8t47f4L8bIhdbX8d33RhY4GLuXcFaQ06svloMuuPJLM+JpmdJ9KwltKvLszfi/du7027Rv64mXAWsoogDqDERaQCyhoMOl9nX0eZkXjhWMPW9t1lulwPgc0cHmJNyMm3sik2hV/3neLX/ac4XMpe8gbQOrQ+P2vHGTEps4yxZnlOERFTSY2DOT1L7yXy5w0BcjMhbgPs+sa+LW9pWg2Ddlfal88EtwHDIDMnnzHPfIpfQXqx01NsfpwkGD8vd3pGNqBPiyD6RAbRuWkAv+47VednIasI4gBKXEQqoDyDgV9jOLIcdnwOe3+A/HMXzml+qb0g0mEceNed/97ikrMYOmN5qTvOtA3z49KoYC6NCqZviyB8PdW/WszBLGOsWZ5TRMR0KtNLpCJb8tYLgeYDILQjectfwIPiOzDm2Dy4gpc5lBNY5Li7xSiSe9bVWcgqgjiAEheRCqrIYJCdDnu/h+2f2acJnt+Pxd0b2l0BXW6wV8Pdan9RYPTslaXuOPNHHm4GPZo1YGBUMJe0DqZL00BTTm0UczDLGGuW5xQRkXIoqwjS43ZIPgzHN9qX05RD/t3L2We0ZH1MMhtjktkYm8yZzJJ3rgny9eS5qzvRKzKIED+visfvYlQEcQAlLiI1JDUOdn4J2z+HpAMXjtcLhc7X2GeINOpyoX9IZSrvTlTajjMzru2Kt4eF1QeTWHUwiROp54pc5+/tzoBWwVwSFczA1sE0b+iL8fufgRqtSm1nljHWLM8pIiLlUN5lNPk5cGIzxK6BA4vsvy9N73vs+XJ4d3D3wmazMfjxjy+6fAagRXA9ekc2oFekfQnN3vh0Xl5Wu3JLFUEcQImLSA2z2eDkVnsxZNfXRQsdoR3svUMiL4UPLi//GkwXUdaOMzabjaNnslh1KIk1B5P47XAS6dlFpz02CfRhYFQw9b3deWdVjBqtSq1mljHWLM8pIiLlVNEv88q7hMbdG5r2hrBO5K1/u+TlM3hwt/8brD7tU2wHmj+qLbmliiDVKDo6mujoaKxWKwcOHFDiIuIM1jw4tNReENm/CKwlFD1Kcu8KCO/m0NBqgrXAxo7jqaw5ZJ8lsuVYCnnW0v/6Ngxo18iPRQ8NqsEoRSqvrhcHlEuIiEi1KKsIEjkQTu0pubBSkntXkBbYkc3HktkYm8LGmGROHj1IA+NssVNzPAK5clAfekcG0S0ikHpeF5apu8KsZBVBHKCuJ2gitca5VNgzz14QObb24ufWkSLIn2Xm5LMhNpnVB5N4b3VMif1FDAP+NaY9l0YF066RX+HSGRFXZJYx1izPKSIiDlJWEeTeFdC4q31J+dE1sG8hHPq59PPbj4MOY6FZfwhoAqlxZM/qjrdRfAvfbJsHw3Je4iTBuFkMOjT2p1dkA9wtBm+7wKzk8o6xtb/DoIiYj08g9Lzd/tq3ED6/sfRzDy6BBpH2a+qQel7uDG0bytC2oaw5lFRio1WbDZ5buBeA4PpeDIwK5tLWwQyMCibU37vmgxYRERGRqvFtaF/yXdpScN+G9m/CQtraX+E9Ll4E2Tvf/gIIbAbB7UosgAB4G3lc3c6beQk+nEg9x84Taew8kVb4vu0PvxrAy0sPuuTyGc0EqQB9eyPigsqzLtLiAS0HQ/ux9p1m6gXXSGg1pbRGq9f0bEJSRi7rjyRzLs9a5JrStuJ1hamMYk5mGWPN8pwiIuJAFekjUlau3OkaOHMQEnaCraDsz/59lvXJ1HNsOprCpthklq3dTGAJy2dSbH60bdueXpFB9GzegK5NA/HxdHNYvqnlMA6gxEXEBZX1F3tgJKTGXvjZsEDzS+wFkfZXgX/d+Af+xRqt5uRb2Xw0hdUHk1h9KImdJ9KKNL/ydLPQs3kDQv29mL/tpNOnMoo5mWWMNctzioiIiyjP8pnwbpCdDsc3wO55sPXj0s8P7w5Ro6BZP3vj1XMp5M7ujicXXz4D4G4xaNLAh6NnshySb6oI4gBKXERcUHm2Fss7B3sX2F/x24ue07SPfR1k+7HQoHnNxOxkKZm5rDmcVOpWvH9k8HuD1YfVYFUcyyxjrFmeU0REXER5t+E9r7y7zwAYbtCwlb3/SCnm9fmMJSlhbIpN4dTZkjc2qK6G/iqCOIASFxEXVZEpgSmxsPd72LPAXu3+o8Zd7cWQDuMgOKri966FbDYbsWeyWHXwNE8t2E1BKSPCFV0a069lQ/q1CKJ1aH01WZVqZ5Yx1izPKSIiLqQ6l88MnAKpx+HYOkg7VvZn37scwrtjs9k4nnKOm2Z8jb8tvdhpmW4BLH/2lrLvdxEqgjiAEheROib9JOz9wT5D5OiaousgQ9pDyyGw6V2w5ha/tqTKeS03evbKEhus/llwfU/6tmhI35ZB9GvZkCgVRaQamGWMNctziohILVWRmSNpx2H7F/DLM6Xfz8vfvhS9WV8IakXul3eWuHQmFw88H95apdxaRRAHUOIiUodlnIb9P9pniMSsgIL8sq+pY9vvltZg9e8j22CzwbqYM2yKTSEnv2jTrIb1POnbMoi+LRoWFkWW7ElQg1WpELOMsWZ5ThERqcWqc+ZIRVQxt1YRxAGUuIiYxLkU2L/Y3hTq6JrSz7t7GTTtVXNx1YCLNVgFe5PVHcfTWHf4DOtjktl0NJnsvKJFkfpe7mTkXCgiqcGqlIdZxlizPKeIiJhEWUWQ8a9DVjIcWwuxqyE7tfRza6gI4l7pTzCR6OhooqOjsVqtZZ8sIrWfTwPodiOEtr/4X+ofjbNvudvuSmg9HDzr1VyMDjK6U+OLFiq83N3oHRlE78ggHgRy8wvYcTyVdUfOsO5IMpuPphQpgMCFPeOfXLCbyOB6tAn1w2LR8hkxF+USIiJSJ/k2tC+TKW35TORA++yRAZPg5FZ4a0iNh/hnmglSAfr2RsRkKjK9z90bWg2zF0TajIZ6DR0amqvKzS+g45OLybOWPrQE+nrQt4W9n0i/lg1pG6aiiJhnjDXLc4qIiImUd/lMebfrrSTNBBERcbSrXoWk/fbdZlKPwv6F9pdhsTeAancltLscApsVva4O7zjj6W6hVUj9Ehus1vN0wwakZuXx0+5EftqdCNiLIn0iLxRF2jXyU08RERERkdoiMKJW5bCaCVIB+vZGxGTK2x3bZoPE3bDvB/srYWfRcxt3/b0gciV41Yc5vcq/V3stVFqD1Tdu7snw9qHsPJFWuHxmU2wyWblFlwf4eroVOaaeIuZgljHWLM8pIiJSTEV2nqkENUZ1ACUuIiZUmVkbKbGw70f769jaolvv+jeB9BOlf14d2XGmrAar5+VZC9h1Io11R5JZH3OGjTHJZOaW3DMh1M+LN2/pSacmAXi4WRz9CFLDzDLGmuU5RURESuTAGdEqgjiAEhcRqbDMJNi/yD5D5PCvYC2h8v1HdaQIUln51gLaT7t4TxFfTzd6Nm9A3xZB9GnRkK4RAXi5uxW+v3hXvJbS1EJmGWPN8pwiIiI1TT1BRERcQb1g6HGL/ZVzFja+C0ufLP387Z+Bm6d9ZxrDfM1C3d1K7ylS38sddzeD1Kw8Vh1MYtXBJMDeh6R7RCB9WwRhMQxmLztYuIRmf8JZ7v9ki5bSiIiIiAigIoiISM3x8oOWQy5+zvo37C//JtB6BERdBi0Gg7d5vjF+eERUiT1FZlzblZEdwjh4KoP1MWdYH5PM+iPJJGXk2H8fk1x4D9sffjWAl5cdVBFERERERLQcpiI0hVVEqqysrcGa9oWE7ZCffeGYxR2a9b9QFAntUHSWSB3cbaa8PUVsNhsxSZmsj0lmQ0wy320tud+KAdzavzl9WjSkd4sGhPp5O/gJpKLMMsaa5TlFRERqmnqCOIASFxGpsvJ0xa4XDLFr4NDPcPBnSD5c9Dz/JtB6OLS+DBpGwduD6/RuMxUxevbKEpfS/FlkQ1/6tAiid2QQfVoE0SzIl592a1teZzLLGGuW5xQREalpKoI4gBIXEakWFZ25kXwEDi61F0ViVkH+uQvvGW5gK3k3FcB0jVZL2573noEtybMWsD4mmX0J6fx55AvwcSftXH7hz9qWt+aZZYw1y3OKiIjUNDVGFRFxVYERFZudEdQS+t5rf+Wdg6NrLhRFzhxyXJy10OhOjXnj5h4XXUqTdi6PLUdTWB+TzMbYZHYcTy1SAIELPUWemL+b4PpedG5adAcaEREREamdNBOkAvTtjYi4nH0/wuc3lf5+077Q5VqIGgkNmtdcXLXIuVwrXZ7+6aLb8nq6W+jWNJBekQ3o3SKIns0b4O/tAWhL3upiljHWLM8pIiJS0zQTRETEDPybXPz94+vtL4CQ9tBmJLQZDU37gNufhoA62GC1PHw83UrdltfPyx1PdwtnMnPZEJvMhthkWH4Yw4B2jfwJ9fNixYHT2pJXREREpJZQEaQcoqOjiY6Oxmq9yLp7ERFX1Oc+SNwFx9bB6b3215qXwTvQ3ly1zWj7rjO5mWU3bK3DhZDStuV98dqujOoYRkxSJptiU9gQm8ym2GRiz2SxNz6dvfH26/+8Je8Li/czskMjLBajlE8Us1EuISIi4hq0HKYCNIVVRFxOeXabCYyAcylwaBkc+MneS+RcyoXzDIt9293EXaV/jgkarJZ3W16AU+nZbDqawqRPt1BQyiga4ONBz+YN7EtoIoPo3CQAbw+3ws/SEpqizDLGmuU5RUREapp2h3EAJS4i4pIquoylwArHN8GBxXBwycWLH+eZoAhSGaVtyXt+ecwfebpZ6Nw0gKB6nvy8J7HwHO1EY2eWMdYszykiIlLTVARxACUuIlInpcbBpvdg9czSz+l8HXS+Fpr3By+/movNxZW2JW/0Td2JCPJlY2wKm2KT2RibQlJGCbN1fmcALUPqsXTKYAzDnEtozDLGmuU5RUREapqKIA6gxEVE6qyT2+CtwWWfZ7hBk57QYhC0HGxvsOrhXfQckzVYLc8yGpvNxrHkLDbGpvCPr7eXuoSmYT1PejRvQK/fl9F0anJha966voTGLGOsWZ5TRESkpqkI4gBKXESkziqrCNLuSvuymZTYosfdvKBZX3tRpMUQqBcCr/UxbYPV8qjQEhp3C12aBNDABEtozDLGmuU5RUREapq2yBURkfLzbWgvUpRWvBj9vL14kXIUYldBzEo4sgIyEuy/j1kJPAvuviXfA+zHs86YvghS2k40r97UncYBPmw+msym2BQ2H03hTGYum45eaGJbbBean7QLjYiIiEhFaCZIBejbGxGp0yq6jMVmg6SDELPi99cqyE69+GfcuxzCu1dHtLVaeZfQxJ7JYlNsMv/8ZkepS2gCfT3o0awBPZvbX12bBuLj6Vbrls+YZYw1y3OKiIjUNC2HcQAlLiIiF1FQALu+hm/vKf2c+mHQ+jJ7P5EWg8EvrPg5JuspUh4VWULjbjFo0sCHo2eyatXyGbOMsWZ5ThERkZqm5TAiIlKzLBYIbnPxczISYdsn9hdASDt7MaTlYIi8FLLTYU5P9RT5k9KW0My5qTtNG/iy+WgKm4+lsDk2hYT0bI6eyQKKLp8BeHLBbsIDfWjf2B8PN0vh/WvbrBERERGRytJMkArQtzciImUoq8HqmBchLc6+fCZ+B0XmMRgWCG4Lp/eWfv29KyC8WzUFW7uUdwnNybRsBr/wK/mlrZ8BvD0sdGkaSM/mDcAGr6847PRZI2YZY83ynCIiIjVNM0FERKTmldVgte2YCzM5spLtTVaP/N5T5MyhixdATG50p8ZlFiUMw6BJoA+tQ+uXuHymnpcb7hYLaefy2BCTzIaY5ML3/tx0dfbSg5oNIiIiInWOZoJUgL69EREph8r29Eg7Dls/geXTSz+naW9odwVEDoLGXcHtT7V89RMB7LNGSlo+88bNPRnZIYwjSZlsOWrfgebLTXHFiiXnDYwKpvvvTVe7RQQS4OPhsKUzZhljzfKcIiIiNU2NUR1AiYuIiIOVtZzmj7z8ofkAiBwILQaCdyBE91Y/kd+VZ/kMlN509c8MAxr5exOfln3hGNW3dMYsY6xZnlNERKSmaTmMiIjUPf0fhOQjELsactLgwGL7C8DLr+QCCNiPZ50xVRGkPMtnoPSmq/++oh3eHu5s/b3p6tEzWUUKIPD70hkDXl6mpTMiIiJSO6gIIiIirqOsniJ977MXMgqskLADYlZBzEo4thZyzpZxc018LMnoTo154+Yepc4auaVfcwCSMnLo999lxRqu2mxw5HRmjcctIiIiUhkqgoiIiOsIjLAvWymrr4fFDcK721+XTAZrHuz4CuY/UPq9Pxr/+1a8A+3b8Ya0s09jANP3EinPrJHg+l4lNlw1DGgZUs+xAYqIiIhUE9MVQeLi4rjllls4deoU7u7uPPHEE1x77bXODktERM4LjKh44cHNA8I6XPyc7FTYM9/+AvANhshLIKwTrHwRrLnFrzFhL5GLKW3pzEPD2zg7tBqjPEJERKR2M11j1Pj4eBITE+nWrRsJCQn07NmTAwcOUK9e2d9iqZmZiIgLK6up6lWvQkaifVveuA2Qf6589713BYR3q44I64TyNlytqNoyxlYlj4Da85wiIiK1jRqjlqJx48Y0bmyf8tuoUSOCg4NJTk4ud/IiIiIuqqx+Iq2G2md0DH4U8nPh5BZ7QWT/IjixufT77vwSsEGjLvZlOH9kwmU05W24WlcpjxAREandLM4O4M9WrlzJVVddRXh4OIZhMG/evGLnREdHExkZibe3N3379mXDhg2V+qzNmzdjtVqJiKibiaqIiKmc7ydy74rirz8vaXH3hGb9YNCjcMXMi993bTS8NQT+Fwlzr4XVsyBuIyTHwJye9tknf37N6WkvkEiNUx4hIiIiF+NyM0EyMzPp2rUrd955JxMmTCj2/hdffMGUKVN444036Nu3L7Nnz2bUqFHs37+f0NBQALp160Z+fn6xa5csWUJ4eDgAycnJ3Hrrrbz99tuOfSAREak5leknUpaIfnBqD+Skw8El9heAu7e25HVByiNERETkYly6J4hhGHz33XeMHz++8Fjfvn3p3bs3c+bMAaCgoICIiAgefPBBHnvssXLdNycnh8suu4x77rmHW265pdzxaB2viEgdVFYvkXtXQKPOkLATjq6B2DVw7Dc4l3Lx+96xCJoPKH7chEtoysMRY6yr5RGgXEJERMRR6mRPkNzcXDZv3szUqVMLj1ksFkaMGMHatWvLdQ+bzcbtt9/OsGHDykxccnJyyMm58C1fenp65QIXERHXVVYvEd+Gv2/J283+6j8RCgpgzzz4+o7S7/v+Ffbzmw+wv5r1h9xM+1KZ0j5LO9E4VE3nEaBcQkRExNXUqiJIUlISVquVsLCwIsfDwsLYt29fue6xZs0avvjiC7p06VK4Tvjjjz+mc+fOxc6dPn06Tz/9dJXjFhERF3a+l0hFZmdYLBDUsowbF9ibr57cAmvn/P5ZkVpC40Q1nUeAcgkRERFXU6uKINXh0ksvpaCgoFznTp06lSlTphT+nJ6eruZnIiJ1kSN6idz0JWSn2ZfQHF0LSfshNbaMi0pZoaolNC6jInkEKJcQERFxNbWqCBIcHIybmxuJiYlFjicmJtKoUaNq/zwvLy+8vLyq/b4iIlIHlLWMJrSDvUDR5Tr7sYzTsP0z+PmJ0u/50XiIvPTC8plGXeBsvJbQVJOaziNAuYSIiIirqVVFEE9PT3r27MmyZcsKm5wVFBSwbNkyJk2a5LDPjY6OJjo6GqvV6rDPEBGRWqaiy2jqh0CLQRe/Z3Yq7PvB/gLwrA8h7bSEppo4K48A5RIiIiKuwuWKIBkZGRw6dKjw55iYGLZt20ZQUBDNmjVjypQp3HbbbfTq1Ys+ffowe/ZsMjMzueOOizSnq6KJEycyceLEwm6zIiIiQPUvoxk7B7KS7Mtn4tbZl9Oc2FTx+5h4+Ywr5hGgXEJERMRVuFwRZNOmTQwdOrTw5/PraG+77TY++OADrr/+ek6fPs20adNISEigW7duLF68uFiTMxEREZdT1hKalkPsRYpLH7HvQHNqD+z8CtbMLv2eX9xsv65Zf2jWD9w8YE4v0y6fUR4hIiIiF2PYbLZSurDJn5V332EREZFSVXSWxslt8Nbg8t/fuwFkp5T+/r0r7Fv3uhizjLFmeU4REZGaVt4x1uVmgrgireMVEZFqU91LaEZNh4xEOLbOvh3vxQogALkZRX828dKZmqRcQkRExDVoJkgF6NsbERGpcalx5d8dJi8bdnwJ3z948XuGdYKIvhDcxr5bjTW37Hs7mFnGWLM8p4iISE3TTBAREZG6oCK70Hh4Q+MuZd8zcZf9dTEl7TyjWSMiIiJSy6kIIiIi4uqqcwnNzd9CzlmIWw+HfoGkfaWfu/Fd6DAOmvayX1PeGSkiIiIiLkpFEBERkbqkrB1ogtvYixUdx5fddHXrR/YX/8/efYdHVaZ9HP+emXRII6EkkNBbaKELiIAgVRTRtaGiYl0UlXdVcFfUXSs2VKLY2V3LKq4oiiKK9N5Cld4JoSchCWkz5/0jazSShCQkOTM5v891zcXmtLmfCctze89TDAhvVPQzoehRIyIiIiIeSEWQUtBiZiIi4jXKMn3mfJoPghM74PTe/JeUm3IJERERz6CFUctAi5mJiEi1cr6RIL9up3vmKGz8LH8R1fNdW0526WPt0k4REZGqVto+1lGFMYmIiIgn+XXqTFF8/PPPAwTXhcaXVF1cIiIiIpVE02FERETsqiKnzoiIiIh4ARVBRERE7Ky0O8+cb8HVX0eNiIiIiHgwFUFKQYuZiYiI7WnUyAVRLiEiIuIZtDBqGWgxMxERkcphlz7WLu0UERGpaloYVURERERERETkd1QEERERERERERFbUBFERERERERERGxBRRARERERERERsQXtDlMGv64hm5aWZnEkIiIi1cuvfWt1X69duYSIiEjlKG0uoSJIKfy6rV1OTg4AMTHaBlBERKQynDlzhtDQUKvDqHDKJURERKrG+XIJbZFbBm63m6SkJIKDgzEMo8Kem5aWRkxMDAcPHvTa7fK8pQ1du3Zl9erVVofhEZ9XVX4WntBeKT39vspOn9mFM02TM2fOEB0djcNRfWfrKpcomjfFr1ziN8olpDj6fZWdPrMLV9pcQiNBysDhcNCgQYNKe35ISIjX/4X39DY4nU6Pis/Kz8uKz8LT/35IYfp9lZ0+swtTHUeA/JFyiZJ5Q/zKJX6jXELOR7+vstNndmFKk0tU369aRIowduxYq0PwGPosREREyk7952/0WYiIN1IRRGxFnfVv9FmIiIiUnfrP3+izEBFvpCKIB/D39+eJJ57A39/f6lDKrTq0oSrZ7fOyW3u9nX5fZafPTKzm7X8HvT1+K9jtM7Nbe72dfl9lp8+s6mhhVBERERERERGxBY0EERERERERERFbUBFERERERERERGxBRRARERERERERsQUVQSz05JNPYhhGoVerVq2sDqtMDh8+zE033URERASBgYG0a9eONWvWWB2Wx3K5XDz++OM0btyYwMBAmjZtyj/+8Q+qy9I8ixYtYvjw4URHR2MYBl999VWh86ZpMmnSJKKioggMDGTAgAHs3LnTmmDlvL+vW2+99Zx/owYPHmxNsB7gueeeo2vXrgQHB1OnTh1GjBjB9u3bC12TlZXF2LFjiYiIoGbNmlx99dUcPXrUooiluqsOeQQolygr5RLKJTyJcomyUS7hGVQEsVibNm04cuRIwWvJkiVWh1Rqp0+fplevXvj6+vL999+zdetWXn75ZcLDw60OzWO98MILvPXWW0ydOpVffvmFF154gcmTJ/PGG29YHVqFyMjIoEOHDiQkJBR5fvLkybz++utMmzaNlStXUqNGDQYNGkRWVlYVRypw/t8XwODBgwv9G/Xpp59WYYSeZeHChYwdO5YVK1bw448/kpuby8CBA8nIyCi45qGHHuKbb75hxowZLFy4kKSkJEaOHGlh1FLdeXMeAcolykO5hHIJT6JcomyUS3gIUyzzxBNPmB06dLA6jHJ79NFHzYsvvtjqMLzKsGHDzNtvv73QsZEjR5qjRo2yKKLKA5gzZ84s+Nntdpv16tUzX3zxxYJjKSkppr+/v/npp59aEKH83h9/X6ZpmqNHjzavvPJKS+LxBseOHTMBc+HChaZp5v999vX1NWfMmFFwzS+//GIC5vLly60KU6oxb88jTFO5RHkol1Au4amUS5SdcglraCSIxXbu3El0dDRNmjRh1KhRHDhwwOqQSm3WrFl06dKFP/3pT9SpU4eOHTvy7rvvWh2WR+vZsyfz5s1jx44dAGzYsIElS5YwZMgQiyOrfHv37iU5OZkBAwYUHAsNDaV79+4sX77cwsikJAsWLKBOnTq0bNmSe++9l5MnT1odksdITU0FoFatWgCsXbuW3NzcQn/HW7VqRWxsrP6OS6Xx5jwClEuUh3IJ5RLeRrlE8ZRLWMPH6gDsrHv37kyfPp2WLVty5MgRnnrqKXr37s3mzZsJDg62Orzz2rNnD2+99Rbjx4/nscceY/Xq1YwbNw4/Pz9Gjx5tdXgeacKECaSlpdGqVSucTicul4tnnnmGUaNGWR1apUtOTgagbt26hY7XrVu34Jx4lsGDBzNy5EgaN27M7t27eeyxxxgyZAjLly/H6XRaHZ6l3G43Dz74IL169aJt27ZA/t9xPz8/wsLCCl2rv+NSWbw9jwDlEuWhXEK5hDdRLlE85RLWURHEQr+v2Ldv357u3bvTsGFDPv/8c8aMGWNhZKXjdrvp0qULzz77LAAdO3Zk8+bNTJs2TYlLMT7//HM+/vhjPvnkE9q0aUNiYiIPPvgg0dHR+szE41x//fUF/7tdu3a0b9+epk2bsmDBAvr3729hZNYbO3Ysmzdv9rr1F6R68fY8ApRLlIdyCfEmyiWKp1zCOpoO40HCwsJo0aIFu3btsjqUUomKiiIuLq7QsdatW3vdUNyq9PDDDzNhwgSuv/562rVrx80338xDDz3Ec889Z3Vola5evXoA56xuffTo0YJz4tmaNGlCZGSk1/wbVVnuu+8+vv32W+bPn0+DBg0KjterV4+cnBxSUlIKXa+/41JVvC2PAOUS5aFcQrmEN1MukU+5hLVUBPEg6enp7N69m6ioKKtDKZVevXqds6XTjh07aNiwoUUReb7MzEwcjsL/t3M6nbjdbosiqjqNGzemXr16zJs3r+BYWloaK1eupEePHhZGJqV16NAhTp486TX/RlU00zS57777mDlzJj///DONGzcudL5z5874+voW+ju+fft2Dhw4oL/jUiW8LY8A5RLloVxCuYQ3Uy6hXMITaDqMhf7yl78wfPhwGjZsSFJSEk888QROp5MbbrjB6tBK5aGHHqJnz548++yzXHvttaxatYp33nmHd955x+rQPNbw4cN55plniI2NpU2bNqxfv55XXnmF22+/3erQKkR6enqhyv7evXtJTEykVq1axMbG8uCDD/L000/TvHlzGjduzOOPP050dDQjRoywLmgbK+n3VatWLZ566imuvvpq6tWrx+7du3nkkUdo1qwZgwYNsjBq64wdO5ZPPvmEr7/+muDg4IK5uaGhoQQGBhIaGsqYMWMYP348tWrVIiQkhPvvv58ePXpw0UUXWRy9VEfenkeAconyUC6hXMKTKJcoG+USHsLq7Wns7LrrrjOjoqJMPz8/s379+uZ1111n7tq1y+qwyuSbb74x27Zta/r7+5utWrUy33nnHatD8mhpaWnmAw88YMbGxpoBAQFmkyZNzL/+9a9mdna21aFViPnz55vAOa/Ro0ebppm/td3jjz9u1q1b1/T39zf79+9vbt++3dqgbayk31dmZqY5cOBAs3bt2qavr6/ZsGFD88477zSTk5OtDtsyRX1WgPnhhx8WXHP27Fnzz3/+sxkeHm4GBQWZV111lXnkyBHrgpZqrTrkEaapXKKslEsol/AkyiXKRrmEZzBM0zQrv9QiIiIiIiIiImItrQkiIiIiIiIiIragIoiIiIiIiIiI2IKKICIiIiIiIiJiCyqCiIiIiIiIiIgtqAgiIiIiIiIiIragIoiIiIiIiIiI2IKKICIiIiIiIiJiCyqCiIiIiIiIiIgtqAgiIiIiIiIiIragIoiIiIiIiIiI2IKKICIiIiIiIiJiCyqCiIiIiIiIiIgtqAgiIiIiIiIiIragIoiIiIiIiIiI2IKKICIiIiIiIiJiCyqCiIiIiIiIiIgtqAgiIiIiIiIiIragIoiIiIiIiIiI2IKKICIiIiIiIiJiCyqCiIhUItM0qVmzJo8++qjVoYiIiIgXUi4hUrFUBBERKYVnnnkGwzBo27Ztme7bt28fGRkZtGvXrpIiExEREU+0YMECDMMo8rVixYpSP0e5hEjF8rE6ABERT3fo0CGeffZZatSoUeZ7t2zZAqDERURExKbGjRtH165dCx1r1qxZqe9XLiFSsVQEERE5j7/85S9cdNFFuFwuTpw4UaZ7t2zZgo+PD61bt66k6ERERMST9e7dm2uuuabc9yuXEKlYmg4jIkXq168fl1xyCevWrWPIkCEEBwdTv359XnvttULXXXHFFXTu3JlPPvmE+Ph4AgMDadSoEa+++qpFkVesRYsW8cUXXzBlypTzXvvZZ58RHx9PQEAAnTt3ZtWqVWzZsoUWLVrg5+dX+cGKiIh4EOUSvzlz5gx5eXnnvU65hEjlUxFERIq0adMmUlJSGD58OJ07d+all14iKiqKhx56iE2bNhW67uDBg9x3331cccUVvPTSS4SHhzN+/Hhmz55dZfG++uqrPP/88+ccf/zxx3n33XfL9UyXy8X999/PHXfccd4hqK+++irXX389jRs35vXXX6dHjx5cfvnlrFixQsNXRUTElpRL5LvtttsICQkhICCAfv36sWbNmmLfX7mESOXTdBgROceRI0c4efIkDoeDdevW0aBBAwAuueQS4uLiWL9+Pe3atePMmTPs37+f4OBgVq5cSatWrQC49tpradiwIR9//DHDhg2r9HjfeOMNxo8fz8SJE885l5qayt13342vry+33nprmZ47bdo09u/fz08//VTidYmJiTzyyCM89thjPPPMMwXH3W43b731FrfcckuZ3ldERMTbKZcAPz8/rr76aoYOHUpkZCRbt27lpZdeonfv3ixbtoyOHTsWXKtcQqTqqAgiIuf49duZJ554oiBpAfD19QUoGI65ZcsWTNNkwoQJBUkLQO3atWndujUHDx6s9Fjfeustxo0bx9ixY5k0aRJZWVmFzk+ePJkzZ84wZswY/Pz8uPHGG0v13JMnTzJp0iQef/xxateuXeK1zzzzDKGhofz1r38tdLxPnz689dZb+vZGRERsR7kE9OzZk549exb8fMUVV3DNNdfQvn17Jk6cyJw5cwrOKZcQqTqaDiMi5/g1cRkxYkSh49u2bQOgZcuWha67+eabi3zO73dTueuuu4iKiiIkJIR27drxzTffFLo2MTGRjh07cvvttxMbG0tISAgXXXQRy5cvLzbOHTt2MHbsWAASEhIIDAws8jV9+nTcbje33HILycnJpfoM/va3v1GrVi3uv//+Eq/Lzs7mu+++4+abbyYoKKjQuV/n/v6auPTt25eAgABq1qxJzZo1GTJkyDnPK8/nICIi4mmUSxStWbNmXHnllcyfPx+XywUolxCpahoJIiLn2LhxI/Xq1aN+/fqFjm/YsAEfHx/i4uIA2Lx5M7Vq1Sr0DQ9AVlYWW7duLVRAGD9+PG+88Qb+/v6sXr2aAQMGsGfPHiIiIgCYM2cOAwYMIDg4mCVLltCgQQM+//xzhg8fzr59+6hZs+Y5cTZq1IhBgwYxZ84cbr31Vvr06VNke3744Qf+85//MHLkyPOO6gDYuXMn77zzDlOmTCEpKalQu3Jzc9m3bx8hISHUqlWL3bt3k5mZSefOnc95zpo1a6hZsyaNGzcuOPbee+9x0003Ffve5fkcREREPI3dc4mSxMTEkJOTQ0ZGBiEhIcolRKqaKSLyBx07djQHDRp0zvFrr73WjIuLK/i5X79+Zu3atc+57s033zQBc8WKFUU+f/Xq1WZAQIC5YcOGgmN9+vQxly9ffs61UVFR5po1a4qN9ezZs+aAAQPMGjVqmEuWLDnn/Ny5c01/f39zxIgRZm5ubrHP+b358+ebQImvBx54oKAtgPnvf/+70DPS09PNWrVqmd27dy/Uxj9e90fl/RxEREQ8id1ziZJcffXVZkBAgOlyuQraolxCpOqoCCIiheTl5ZkBAQHmI488cs65li1bmtdff33Bz7Vr1zYBc8eOHQXHjh07ZsbExBSZ+Nx7771mQECACZhDhw413W63aZqmmZaWZtarV68gGfjVjh07TH9/fzMlJaXEmDMzM81+/fqZw4YNO+fcJZdcYg4bNszMzs4uueG/c/z4cXPmzJnnvNq0aWPGxsaaM2fONDdu3FjQXsC87bbbCj1jwoQJJmDecccdBcf69OljRkZGmpGRkeaAAQMKJW4V8TmIiIh4AuUSv7XjjxITE01fX1/ziiuuKHSdcgmRqqPpMCJSyM6dO8nKyqJDhw6Fjp89e5Zdu3YxevRoAI4ePcrx48dp3749l19+OWPHjuXs2bMkJCTgcrn44IMPznn2m2++yRtvvMGCBQvYvHkzhmEAMG/ePPr06YPD4Sj0fjfddBMTJ04kNDS0xJgDAwP55ptvcLvd55z7+uuvCQwMLFiArTQiIyPPmcMMMGXKFKDw/ObatWszcOBApk+fjr+/Px07dmTOnDksWbIEoNBCZpMnTyYuLg6n08kbb7zBkCFD2LZtG8HBwcCFfw4iIiKeQLlEvuuuu47AwEB69uxJnTp12Lp1K++88w5BQUGFtuJVLiFSxayuwoiIZ/n8889NwNy8eXOh46tWrTIB89tvvzVN0zR//PFHEzBXrVpl3nHHHWZoaKgZEhJiXnfddeaBAwfO+z6XX365OXv2bNM0TfPuu+82P/zww4JzOTk55rBhw8wbb7yx4BseT9CnTx+zTZs25xw/cuSIecUVV5jBwcFmRESEed1115kff/yxCZjz5s0r9nktW7Y0586dW/Czt3wOIiIiJVEuke+1114zu3XrZtaqVcv08fExo6KizJtuusncuXPnOdcqlxCpOoZpmqZ1JRgR8VZTpkzhL3/5CxkZGfj7+5f5/iFDhjBkyBDGjRtHkyZNWLp0KVFRUbjdbm688UYyMjKYOXMmPj7Vd8BaXFwcU6ZMYeDAgQC2/RxERMSelEtcOOUSImWnLXJFpFw2bdpEkyZNSpW0pKam8sknn5Cenk5eXh4zZsxg/vz5XHLJJWzbto2QkBCioqIAuPvuuzly5AgzZsyoVp11SkoKP/74I9nZ2eTk5PDqq69y6tQpunfvDmCbz0FERORXyiXKRrmESMXQ/xtEpFw2b95M69atS3WtYRi8++67/PnPf8Y0TZo1a8Ynn3xCfHw8U6ZMYfDgwQDs37+f9957j4CAACIjIwvu//777+ndu3eltKOq5ObmMnHiRLZv346vry/x8fF89913BXNz58yZY4vPQURE5FfKJcpGuYRIxVARRETKzDRNtmzZQr9+/Up1fUhICPPnzy/y3Jw5c5gwYQIADRs2pLrO0KtduzZr1qwp9rxdPgcRERFQLlEeyiVEKoaKICJSZoZhkJ6eXiHPuvTSS+nVq1eFPMub6XMQERE7US5R8fQ5iJSOFkYVEREREREREVvQwqgiIiIiIiIiYgsqgoiIiIiIiIiILWhNkDJwu90kJSURHByMYRhWhyMiIlJtmKbJmTNniI6OxuGovt/RKJcQERGpHKXNJVQEKYWEhAQSEhLIyclh9+7dVocjIiJSbR08eJAGDRpYHUaFUy4hIiJSNc6XS2hh1DJITU0lLCyMgwcPEhISYnU4IiIi1UZaWhoxMTGkpKQQGhpqdTiVRrmEiIhI5ShtLqGRIGXw67DVkJAQJS4iIiKVoLpPEVEuISIiUrnOl0tU30m3IiIiIiIiIiK/o5EgIiIiFnC5XOTm5lodhiV8fX1xOp1WhyEiIuK1TNMkLy8Pl8tldShV7kLzCBVBREREqlh6ejqHDh3CrstyGYZBgwYNqFmzptWhiIiIeJ2cnByOHDlCZmam1aFY4kLzCBVBREREqpDL5eLQoUMEBQVRu3btar8Gxh+Zpsnx48c5dOgQzZs314gQERGRMnC73ezduxen00l0dDR+fn62yiUqIo9QEaQUft3Wzo5DjUREpGLl5uZimia1a9cmMDDQ6nAsUbt2bfbt20dubq5tiiDKJUREpCLk5OTgdruJiYkhKCjI6nAscaF5hBZGLYWxY8eydetWVq9ebXUoIiJSTdjpW5s/smPblUuIiEhFcjjs+5/yF5pH2PeTExERERERERFbURFERETE5gzDICUlxeowRERExEt5Uy6hNUFERES8wJzNR5jy0072nsigcWQNHhzQnMFto6wOq0BeXh4+PkorREREPJVyiXwaCSIiImIR0zTJzMk77+vrxMPc89E6tiefITvPzfbkM9zz0Tq+Tjx83ntLuw3vSy+9RMeOHWnRogUff/xxwfFRo0bRpUsX2rdvz7Bhw0hOTgZg3759hIWF8eijj9KpUyemTp1KcnIy1157Ld26daNdu3b87W9/q5TPTURERPIplyg7fWUjIiJikbO5LuIm/VDq680//PnAfxLPe8/Wvw8iyO/83b1hGKxfv549e/bQpUsXevXqRaNGjZgyZQq1a9cG4Pnnn+fJJ59k2rRpAKSmptKmTRteeOEFAAYNGsRjjz1Gnz59yMvL4/LLL2fGjBn86U9/KnUbRUREpPSUS5SdiiAiIiLCHXfcAUCTJk245JJLWLRoEY0aNeKTTz7h3//+N1lZWWRlZREZGVlwj6+vLzfddBMAGRkZzJs3j6NHjxacT09PZ/v27VXbEBEREbGEt+QSKoKIiIhYJNDXyda/DzrvdSMSlrLzaDq/H4xqGNCibjAz/9zzvO9RHoZhsGTJEl5//XWWL19OnTp1mDVrFpMmTSq4JigoqGCLvl+Hyq5YsYKAgIByvaeIiIiUjXKJstOaICIiIhYxDIMgP5/zvsZf1gKT/GSF//1pmvDQgBbnvdf49abz+PDDD4H8+bmLFy+md+/enD59muDgYCIiIsjJyeHtt98u9v6aNWvSr18/nn/++YJjSUlJHDp0qNyfj4iIiJRMuUTZqQhSCgkJCcTFxdG1a1erQxERERsa3DaKaTd1olW9YPx9HLSqF8y0mzozuG29CnsPl8tFx44dGThwIK+//jqNGjVi8ODBtGzZkpYtW9K7d2/i4+NLfMbHH3/Mrl27aNu2Le3atWPkyJGcPHmywmL0ZsolRETESsolfmOYpV3qVUhLSyM0NJTU1FRCQkKsDkdERLxQVlYWe/fupXHjxradNlLUZ2CXPtYu7RQRkcqhPKL4z6C0faxGgoiIiIiIiIiILWhhVBERERGxRspByCximHNQBITFVH08IiJS7akIIiIiIiJVL+UgTO0MednnnvPxh/vWqhAiIiIVTtNhRERERKTqZZ4sugAC+ceLGiEiIiJygVQEERERERERERFbUBFERERERDzO0ROnrA5BRESqIRVBREREPF3KQUhKPPeVcrBCHv/111/TunVr4uPj2bRpU7HXNWrUiMTERAD69u3LV199VSHvL1KUoP/ewNyEB9h/sGL+nouI2JpyiQJaGFVERMSTVcHikdOmTWPSpEnccMMNF/QckYoUbGQx8Ph0Mt77lHkRV9F4+CM0adzU6rBERLyPcolCNBJERETEKqYJORklv9IOlbx4ZNqhku83zRJDGDduHIsXL+axxx6jZ8+eGIZBSkpKwfnIyEj27dtXcW0W+VVQBG6Mos/5+HOgxz844NuUGkY2/U/9h+jp3Vnw6mh27PilauMUEfFkyiXKTCNBRERErJKbCc9GX9gzPhhc8vnHksCvRrGnX3/9dTZu3MiDDz7IiBEjMIxi/qNUpIJt3ryBtpjkmQanhrxDndgWv50MiiA2LAYG3s/+5V/iWvgSTbK30jf1K3I//obFwZdRe8gEWrXpaF0DREQ8gXKJMlMRRERERESqlNvlImD+JADW1R5Bt4uuLfpCw6Bhz6uhx0gOrJvD2Z9eoOXZ9fROn4Pr8x9YXqMvIQMfpU18jyqMXkREvJmKICIiIlbxDcr/dqUkyRtL/obm9jlQr33J71EGTqcTl8tV8HNWVlaZ7hcpjcTv3qaTazfpZiBN//T0+W8wDGI7D4HOQzi0YT5pc58nLmMFPTLnw1fzWT2nJwGXPkK7bv0qP3gREU+iXKLMtCZIKSQkJBAXF0fXrl2tDkVERKoTw8gfXlrSyyew5Gf4BJZ8fxmHpDZr1oyVK1cC8OWXX5KRkVHe1snvKJf4TfbZMzRY9xIAGxqPIaJugzLd36BDP+Ie/oGk639gY0hf3KZB16xltPtuBInPXsqGpd9hnmf+uohItaFcosxUBCmFsWPHsnXrVlavXm11KCIiYjdBEfkrtxfFxz//fAV69dVXeeCBB+jUqRPr168nIqJin29XyiV+s3nGc9QxT5JEbTpeO7Hcz4ludRHtx3/NsVsWsD58EHmmg/ictXT48Qa2PHsxifP/i+l2V2DkIiJeSrlEIYapUnmppaWlERoaSmpqKiEhIVaHIyIiXigrK4u9e/fSuHFjAgICSndTykHIPHnu8aCIC97SzgpFfQZ26WPt0s7inDlxCOfUTgSRzbL4F+g54p4Ke/bx/ds48M2ztDv+LX5G/jDsHc7mpHd/kPj+N+BwOivsvURErFKuPAKqVS5R3GdQ2j5Wa4KIiIh4urAYr0tQRIqy5/PH6EA2vzha0O3yOyv02bUbtqL2ff/iZNJe9nz9HG2TZ9LCtROWjWXPihc53fk+4gfdhtNH6a+I2JByiQKaDiMiIiIile747nW0PToLgDN9n8LHp3JGZkREN6brve+QNTaRldGjSTcDaeLeR+fVf+HIM+1Y+9Ub5OVkV8p7i4iI51MRREREREQq3amZj+A0TJb7X0zX3kMq/f3C69Sn+12v43pgE8tj7yKFmjQwk+ic+DdOPNeGtTMmk5OVWelxiIiIZ1ERRERExAJ2XpLLzm23q4OrZtEyfTU5ppPg4c9glHGngQsRWqs2PW5/EedDm1ja5AFOEEY98zidtzxD2vNxrP30KbIzU6ssHhGRimDnvvRC264iiIiISBVy/m9xxpycHIsjsc6vbXdqoUp7cOVh/Pg4AIvCR9K2bbwlYQSH1qLXLX8n6OHNLG0xgSNEEslpOm9/hazJcaz910TOpp2yJDYRkdLy9fUFIDPTviPZLjSP0MpQIiIiVcjHx4egoCCOHz+Or68vDoe9vo9wu90cP36coKAgfLRApS3snvsWTXP3cdqsSfNrnrI6HIJqBNPrxolkZT3I0m+mEbv1bWLMI3Te8ybpr0xnfex1tLhqAjXC61kdqojIOZxOJ2FhYRw7dgyAoKCgKh1dZ7WKyCOUfYiIiFQhwzCIiopi79697N+/3+pwLOFwOIiNjbVV0mZX7rOpRKx6CYBlDe5gWIP6Fkf0m4CAQHr96SGyc8ayZPYHRG1MoKl5gI4HPuTsax+TWP9qmo54jODasdVqa0kR8X716uUXaX8thNjNheYRhmnnyURlVNp9h0VERM7H7XbbdkqMn5/fOSNg7NLH2qWdv9r5ySM03/E2+8woao5fTWRosNUhFSs3L4+Vcz4mct3rtHLvAiAHH3ZHDqDV6Z8xXEX8/9XHH+5bq0KIiFjC5XKRm5trdRhVrqg8Akrfx2okiIiIiAUcDgcBAQFWhyFSaXJOHiB2x4cAbI77Py734AIIgK+PDxdfPpq8wTexdN5/CV71Ku1dW2l9Yk7xN+Vl548QURFERCzgdDq1vlY52GsisoiIiIhUiQNfTMCfHNYZcVw64larwyk1Hx8nvQZdS9u/LmPZJR+x1dnK6pBERKQCqQgiIiIiIhUqfe9Kmh2ZDcDRHpMI8ve1OKKyczgMel46nFa3T7M6FBERqUAqgoiIiIhIxTFNTn/5CABzffpyWf9BFgd0YRxawFdEpFpREUREREREKszpdTOJOZNIlumL/6An8XEq3RQREc+hXklEREREKkZeDq4fHgfg25pXc0mXeGvjqQhBEfm7wBTBbfjknxcREa+h3WGslHKQZZu288nKAxxOyaJ+WAA3do+lZ7uWWmVcREREvM6x+QnUyTnEcTOUplf9DaM6TCUJi8nfBjfzZMGhVZ+/QLeU78g0fXBl5hAaZl14IiJSNrYcCXLVVVcRHh7ONddcY10QKQdxvd6JnvOuZmr6Q8z0mcjU9IfoOe9qXK93gpSD1sUmIiIixfKIPMITZZ6ixvKXAfihzhg6NqtGX+iExUB0fMGrzV0fsMXRkppkcfyft2C6cq2OUERESsmWRZAHHniAf/3rX9YGkXkSpzunyFNOd06hbxtERETEc3hEHuGBjnzzD2q4z7DdHUPPax60OpxKVSMoEJ8/vc8ZM5Bm2ZvZ9OlfrQ5JRERKyZZFkL59+xIcHGx1GCVKz8mzOgQREREpgjfkEVXNPLmbyF/yC0PLmz1Ik7qhFkdU+Vq2bsfqNvnrn7TZ+Q4H1/9kcUQiIlIaXlcEWbRoEcOHDyc6OhrDMPjqq6/OuSYhIYFGjRoREBBA9+7dWbVqVdUHeoEee28WYz9ay9wtyeTkua0OR0REpFqwSx5R1ZL/OwFf8lhsdmDYVTdbHU6V6XvNn1kUNBCnYeI/626y0jSSV0TE03ldESQjI4MOHTqQkJBQ5PnPPvuM8ePH88QTT7Bu3To6dOjAoEGDOHbsWBVHemFe93mNh3bcxLZPH+WmZ97jsS83smrvKdxu0+rQREREvJZd8oiqlLtnCVFJc3GZBvs6TaB2cNE7qVRHDodB6zHT2E8UdcwT7PngdjCVq4mIeDKvK4IMGTKEp59+mquuuqrI86+88gp33nknt912G3FxcUybNo2goCA++OCDMr9XdnY2aWlphV5VxW340MyRxDifr/jcfJi7Eq9h7fvjuPP5d5n8/S/sOHqmymIRERGpLqoyjwBrc4kq4XaT+tUjAHztGMDIwQMtDqjq1Y6I4NjABHJMJ3EpC9j23VSrQxIRkRJ4XRGkJDk5Oaxdu5YBAwYUHHM4HAwYMIDly5eX+XnPPfccoaGhBa+YmApc5byEPefx8cdxz2IY+S5my2G4nP40chzlXp9veD/nYW5ccTkL3ribh15+l3cW7iQ5Navi4hIREbGpis4joJJzCQ9wdv1nRKZtId0MwN33MWr4+1gdkiW69uzPggb3AtBo9d85uW+DxRGJiEhxqlVPdeLECVwuF3Xr1i10vG7dumzbtq3g5wEDBrBhwwYyMjJo0KABM2bMoEePHuc8b+LEiYwfP77g57S0tIpLXorYc75AUET++bpxGO2vxZmdDjvn4tryFeaOuTRwneAun9lwZjZJP9fiux+7cbDeZbTudhmD20cTEuBbMTGKiIjYSEXnEVDJuYTVcs+S+8OTBAKf+V/NLRfHWx2RpS4Z/SRrJy+lc956jn18K+EPL8PhF2h1WCIi8gfVqghSWj/9VLrVu/39/fH3r8R5rWEx+a/zBlIT2o7E2XYk5GTCrp/I2TQTY8ccol2nuN1nDpyYw9HZYcz6thvHYwYT12MwfVvVw9/HWXnxi4iI2FBp8wioglzCQmcWvkFITjJJZi1ihj6Mr7NaDTAuswA/X8JHvc/J6X2Jzd3D5n89RNs7plkdloiI/EG1KoJERkbidDo5evRooeNHjx6lXr16FkVVwfyCIO4K/OKugNws2P0zGYn/xWfnHOq6UrjJmAuH53JixpN8Y3QjtfEw2vUaSpcmdXE4DKujFxER8Vi2yCMqSvpxfJe9CsCM0DGM69DI2ng8RJPGTfm5y3NcunYsbQ99yr7lA2nUY6TVYYmIyO9Uq5K9n58fnTt3Zt68eQXH3G438+bNK3aYamkkJCQQFxdH165dKyLMiuMbAK2GUuP69/GfuAfzxs853eJaMp0hRBppXMNPjNn7EM3/3ZnZz1zNjE8/YPthbd0mIiJSlMrKI8CDc4lySvnuKQLcmWxwN+HikfdgGPqi5Vf9Lh/FTyFXAxA29wEyTx2yOCIREfk9wzS9ax+v9PR0du3aBUDHjh155ZVX6NevH7Vq1SI2NpbPPvuM0aNH8/bbb9OtWzemTJnC559/zrZt286Z41tWaWlphIaGkpqaSkhISEU0p3K4cnHtWczxlZ9Rc+/31HSlFpxKM4NY5X8ReS2H06HvVURFhFsYqIiISL6q6mOtzCPAi3KJkhzbhvvNHjhw81L0q/zlrtutjsjjnE49w7EpvWlp7mVnzS40H/8jOKrVd48iIh6ntH2s1xVBFixYQL9+/c45Pnr0aKZPnw7A1KlTefHFF0lOTiY+Pp7XX3+d7t27X/B7e2Xi4sojZ88Sjiz/jND9cwhznSo4dcYMZEPQRRB3Je36XE2ot7RJRESqnarqY63MI8BLc4k/SHl3BGGH5zPX3YWm939N09o1rQ7JI61ft5KWXw8nyMhmW9u/0Oqax60OSUSkWqu2RRAreX3i4nZxZucSkpZ9RuTBH4hwnyg4lWH680twD5xtRxB3yUj8g0ItDFREROzG6/vYUvL2dpq7fsb46CpyTSdvtP6I8dcPtTokj/b9vyYzZM8z5OLk9PXfUqdVT6tDEhGptkrbx2pcXilUm3m8DifBLfvQ8rY3ifjbTo5d+w2JDW4i2ahDDSObLukL6LjiQczJTdn8ynB2/vQB7rOp53+uiIiIlKha5BJuF2dmPQrApwzkpmGXWhyQ5xtw4/+xxP9ifHHhnnE7rrNpVockImJ7GglSBt7+7U1xTLebvZuWkrziM2KPzKUBv62Kn4MP+8N6UKPjSKK7jYTAsMI3pxyEzCIWWw2KKN32vyIiIlTfPvaPvLmdeWv+ic+340g1g/i4+yz+PNSLCzpV6EBSEj5v9ybaOMEvdYbS+s+fWh2SiEi1pOkwlcCbE5fScrncbFq3hJOrPqfJsZ9obBwpOJeLD0dqdSe489WEd7wKcjJgamfIyz73QT7+cN9aFUJERKRU7NDHghe3MzudzJc7EJRzglcdo7nz0Veo6e9jdVReY8GPs+i95BachsneS16l8aVaTFZEpKKVto9V7yWFOJ0O4rteAl0vISsnj8WrlpKy5gtanv6ZFsYhYk8thR+X4vrxL5wOa0NkUQUQyC+MZJ5UEURERKQayFk0haCcE+x316HOwPtVACmjvpddwffbRzPkxHTqLHqMM3G9Ca7X3OqwRERsSWuCSLEC/HzofXEfhj/4BnUfTeTbS77m05qj2eJuiBM3kSmbrA5RREREKltaEsby1wH4IOg2ru3e1OKAvNPFtz9PoiOOGpzl5PSbMfNyrA5JRMSWVAQphWqxmNkFCg3y5fJL+3LDX14nbPxKPu72FV/5XW51WCIiIl7Bm3OJs3OexNedzSp3S3oMuxVfp9LH8ggOCsR5zbukmjVolPUL2//zmNUhiYjYktYEKQOvncdbWZIS4Z0+xZ+/ayFEx1dVNCIi4sXs0sd6XTuPbMD9dh8cmDwS/iovjLsNwzCsjsqrff/ZNIb88ihu0+DYVZ9RL36Q1SGJiFQL2iJXRERERMrPNMn8dgIOTL529eRPV45QAaQCDPzT3fwUOASHYeI76x5y0o5bHZKIiK2oCCLlFxSBy+FX5Cm34ZO/Ta6IiIh4px1zCDq8jGzTl2WN7qNro1pWR1QtOB0GbW6fyh7qE+E+xf4PbgMNzBYRqTIqgkj5hcXgHLeOZf3/y33BrzIi7zn+7RoIgMs0yTtz1OIARUREpFxcuZydnb9mxQeuIdw5/BKLA6peompHcmRAAtmmD81TFrP7uylWhyQiYhsqgpSCNy9mVunCYujZewBT/+92vnr6z/Qe9wE/m13wxUXGv2+EjJNWRygiImI5b8slzDUfEJi2hxNmCEc7jKVZnWCrQ6p2el3cj7n1xwLQYPUzpO5LtDYgERGb0MKoZeB1i5lZZF7iThp/eTlNHMmcqNOTyHu+BYfT6rBERMSD2aWP9Yp2nk0h59UO+OWk8JR7DPf+5VnqhARYHVW1dDY7jw2TB3GRaw2HfRsS/fByDL8aVoclIuKVtDCqWKZ/fHPmdXiZTNOfyGPLOP3tJKtDEhERkVJyLXoJv5wUdrrrE9JrjAoglSjQ34fwG9/jmBlG/dz97Pj3A1aHJCJS7akIIpXithFDeTf8IQDC100le9PXFkckIiIi53V6H6yYBsAbPqO5s29La+OxgZZNG7Ou03P5//vgDA4v/9ziiEREqjcVQaRS+Dgd3DDmIT5xXA6AOfMezBM7LY5KRERESpI790mcZi6LXW3pMuBaavr7WB2SLQy64gZmh1wLQPDc8WSdPGBxRCIi1ZeKIFJp6gQH0HzUK6xytyLAnUnq9OsgO93qsERERKQoB1fh+8tM3KbB9BpjuKF7Q6sjsg3DMOg+5hW20JQQ8wxHPrwF3C6rwxIRqZZUBCkFb1vR3ZN0bVqXHb3f4KgZRlj6bk7/5x7QWrwiImIzHp9LmCa5300AYIarD1cPG4KvU2liVYoMDSb98rdJNwNonL6e3V/+3eqQRESqJfVupTB27Fi2bt3K6tWrrQ7FK40a0JV/1f87uaaT8L3fkLnoDatDEhERqVIen0tsmYnvkbVkmv7MqTOGIW3rWR2RLXXv0pV5jR8GoOHm1zm1bbHFEYmIVD8qgkilMwyDu2+5kTf9bwPAf/4TuPcusTgqERERASA3i9y5TwAwLW8491zeC8MwLA7KvgaPepD5fn3wwU3ejDG4M1OsDklEpFpREUSqREiALwNvncQ37l44cXP2k1sg7YjVYYmIiMiqt/FNO0CyGc6uZqPp3iTC6ohszd/Xh9hb3uagWYc6rqPsmX6nphKLiFQgFUGkyrSODsU1bAq/uGOokXuS1H/dCHk5VoclIiJiXxknyVv4IgAv513LQ0M7WhyQADRtEMUvvV4l13TS7NhcDs5/1+qQRESqDRVBpEqN6N6C2XEvkmYGEXpiHenfTrA6JBEREdsyFzyHT84Ztrgb4tPxRprXDbY6JPmfyy4bxuyI/KnEkYseJzNpm8URiYhUDyqCSJW77+qBTAn5CwA1E98nd/1/LI5IRETEhk7sxFzzIQCTzZt5cGAriwOS3zMMg363P8Naoy2BZHHqXzdDXrbVYYmIeD0VQaTKBfg6ue22e3mHqwEwZ42D5M0WRyUiImIv7rmP4zDz+NHViXYXX0HdkACrQ5I/CK0ZgHH1O5wya9Igawe7//Oo1SGJiHg9FUFKISEhgbi4OLp27Wp1KNVGTK0gml/7DAtd7fEzs0n/9/VwNsXqsERERCqFx+USexfh2PE9eaaDt3xHc3efJlZHJMXo1LYNi1o/CUDTXR9yfP1sawMSEfFyhmmWf7np3NxckpOTyczMpHbt2tSqVasiY/M4aWlphIaGkpqaSkhIiNXhVAtvzl7JFatupIFxgvSGA6g5egY4VJsTEbEbu/SxHtFOtxvX231wHt3IP/MuwxzyIrf2amxNLFIqeS43c1+6maFnvyXFEUbNB1biE1rP6rBERDxKafvYMv/X5pkzZ3jrrbfo06cPISEhNGrUiNatW1O7dm0aNmzInXfeyerVqy8oeLGPu4d0Y1q9p8g2fam5/yeyF0y2OiQREZHqbeN/cB7dSJoZyH9DbuLG7g2tjkjOw8fpoP1tr7PTjCHMncLRd6+Bw+shKfG3V8pBi6MUEfEOZSqCvPLKKzRq1IgPP/yQAQMG8NVXX5GYmMiOHTtYvnw5TzzxBHl5eQwcOJDBgwezc+fOyopbqgmnw+Chm//Ei753AeC76HnMnT9ZHJWIiEg1lZOJ66e/AzA1bwR3De6Gn49GYHqDBnUiONbrCUwT6qdvgnf7wjt9fntN7axCiIhIKfiU5eLVq1ezaNEi2rRpU+T5bt26cfvtt/PWW28xffp0Fi9eTPPmzSskUKm+Imr6M/SWh/nPu9u43jmPrM9vJ+DPiyFc30yJiIhUqOVTcaYf4aC7NuvqXcvEdlFWRyRl0Kttc1hWzMm8bMg8CWExVRqTiIi3KVMR5NNPPy3VdQEBAdxzzz3lCkjsqVNsOJsHPkfij9cTn7uHjI9upMY9P4FvoNWhiYiIVA9nknEvfhUH8ELe9fxlWAcMw7A6KhERkSpVpiJIcU6fPs3cuXM5fPgwANHR0QwaNIjw8PCKeLzYxM0Xt+CJvc8Rs/sOIk5uJuvrhwi4+i1QgiYiInLhfn4aR14m69zNONv8Ci5qEmF1RCIiIlXugieBvv/++/To0YOVK1fidrtxu92sXLmSnj178v7771dEjGIThmHw6HUDeL7GI7hMg4DNn+Ja86HVYYmIiHi/5M2Y6z8C4Jm8m3h0aGuLA5JK4cq1OgIREY93wSNBJk+ezLp166hRo0ah4//4xz/o1KkTY8aMudC3EBup4e/D3bfexpSpv/B/xieY3z0CUR2gQWerQxMREfFOpok5928YmHzruohmnfrTom6w1VFJJTj18RhCx/wXZ22tySciUpwLHgliGAZnzpw55/iZM2c0z1TKpVmdYFqM/BtzXF3xMXPJ+mQUZJywOiwRERHvtOsnjD3zyTZ9eJUbeeiyFlZHJOUVFIHL4VfkKdOEWln7yX3zYlKW/6uKAxMR8R4XPBLkpZdeok+fPrRt25b69esDcOjQIbZs2cLLL798wQF6goSEBBISEnC5XFaHYhvD4+vz3N5nab7+FppmHiHr09EE3PY1OCtkGRsREZEqZVku4crD/OGvGMB01yAG9+5OvdCAqo1BKk5YDM5x61i2aTufrDrA4dNZ1A8P4MZuDcnOyabGon/Qja0E/HA/ydt+pN6Nb4K/Rv2IiPyeYZqmeaEPcblcrFq1iqSkJCB/YdRu3brhdDovOEBPkpaWRmhoKKmpqYSEhFgdTrWXk+fm4Tf/w7MnH6SGkU1ejwfwGfR3q8MSEZFKYJc+tsrbufp9mD2eU2ZNrnRMZfajlxMS4Fv57yuW2HssjSUfTuSGzE/wMdyc9G9AyE3/xjemk9WhiYhUutL2sRVSBLELuyRonuRI6lmmTJnMC+Yr+Qeu/TfEXWFtUCIiUuHs0sdWaTuz0jBf74iReYJJuaNpPPQhbuvVuHLfUyyXnefikxmfc9m2v9HAOEEuPpzp9Vdq9X8QHBc8E15ExGOVto8t97+ELpeLt99+m/Hjx/PKK68wb948Tp48Wd7HiRQpKjSQ4TeO5b28oQDkfnkPnNhpcVQiIiJeYMmrGJkn2O2OYnHIcEZ1b2h1RFIF/H2c3HbDDey66nt+oju+5FFr6VMcffsKSD9udXgiIpYrdxHk/vvvZ9KkSRw9epQJEyYwdOhQ6tSpQ2xsLFdcoW/qpeJc3DyS7D6TWOluhW9eBlkf3wDZ6VaHJSIi4rlSDmAuTwDgubwbGT+4DX4+GgVgJ33jW9Dmwa94N+R+skxf6h5dTNqUbmRtn2d1aCIilip3b/jll1/yr3/9i48//hh/f3/WrFnDa6+9RlZWFg0b6psGqVj39m/FJ7F/J9kMJ+D0TnJm/jl/GXQRERE517y/Y7iyWe6K41hUP4a1i7I6IrFAVFgQtz3wdz7v+C92uOsTkncKv0+v5sRXj4Er1+rwREQsUe4iSHp6OnFxcQD4+vri4+PDfffdx8SJEwkI0KrjUrEcDoOnbuzHk/6PkGM68dv2Ne5lU60OS0RExPMcWgubZuA2DZ7OG8WEoa1xOAyroxKL+Dgd3DJiKKdHzWWm4zIcmEQmJnD89UsxT+21OjwRkSpX7iJIkyZNCnaDqV+/PocPHwZg+PDhfPTRRxUTncjvhAX5MfaWUTznviX/wI9PwL4l1gYlIiLiSUwT5v4VgC/dvanTohs9m0ZaHJR4gu4tG9Dn/z7hzdqPk2YGUTt1I1lTe5G5bobVoYmIVKlyF0FGjhzJ999/D0CfPn344IMPANi6dStnz56tmOhE/qBdg1CaD3uIL10X48BFzn9ugbQkq8MSERHxDL98AweWc9b04+W8a5kwpLXVEYkHqVXDj3v//H9812sGa90tCHRnEDTrDo5/cjfkZFodnohIlaiQLXIPHDhA165dcbvdpKWlMWbMGN58882KiM+j2GX7Pk9nmiYTP1vF6K130NpxgJyoLviN+R58/KwOTUREyskufWyltjMvBzOhG8bpvbyWdxWHOjzEi3/qULHvIdXGxgMnSPz3BG7K+QKHYXIqqDFhN3+EI6qt1aGJiJRLpW+R+3uxsbFs2bKFyZMnM2PGDBISEirisSJFMgyDJ0Z2YXLo30gzg/A7sgbXD49ZHZaIiEjVSzkISYn5r3lPYpzeyymzJnO4mPEDW1gdnXiw9rGRXPV/b5EQ8zJHzTBqZe4l7+2+nFn8lhafF5FqrUJGgtiFXb6l8hZ7T2Tw0huvkWC8kH/gqnegw3XWBiUiIuVilz62QtuZchCmdoa87HNO5Rl++DywDsJiLuw9pNozTZNZyzYSNvcB+hjrATjRYCCRN74NQbUsjk5EpPSqdCSIiBUaR9Zg+J9u57W8kQC4Zo2D5E0WRyUiIlJFMk8WWQAB8DFz8s+LnIdhGFzZqwP1/zyLaQF3kGM6iTw0l9QpF5G3VwvQi0j1U+4iSGpqKnfddRfNmjWjdevWHDlypCLjEimVwW3rkdnj/1jg6oDTlUXuJ6Pg7GmrwxIRERHxKs3qhnDr/03mvZbvssddj9Ccoxj/HE7q90+D22V1eCIiFabcRZCxY8eyadMmJk+ezP79+wt2hHnooYeYOnVqhQXoCRISEoiLi6Nr165WhyJFeHhwHP+M/hsH3bXxTduP6793gdttdVgiIiIFlEuINwjwdfLnG69m91XfMotLcOImdOWLnHxzEKQetjo8EZEKUe41QSIiIvjpp5/o2LEjwcHBbNiwgSZNmjBnzhwef/xxVq9eXdGxWs4u85W90bG0LB567V+8n/cYAUYuZt/HMPo+anVYIiJSSnbpYyu0nUmJ8E6f4s/ftRCi4y/sPcS2Dp7K5L/TX+aO1KnUNLLIdIbgM/It/Op3KHqqVVCE1qAREUuVto/1Ke8bmKZJcHDwOcebN2/Ozp07y/tYkXKpExLAuFFXM+mD3Uz2mQYLnoP6naD5ZVaHJiIiIuJ1YmoFMfaBvzJ9Vne6r3+E9uyFGaMwDSeGWcT0GB9/uG+tCiEi4vHKPR1myJAhfPzxx+ccz8jIwDCMCwpKpDy6N4mg6WV38VFefwxM8maMgdP7rA5LRESkcgRFkINvkady8M3/Zl7kAvg6Hdx51UDSbpzNR8ZwgKILIJC/SK8W4xURL1DukSDPPfccXbp0AfJHhRiGQVZWFv/4xz/o1KlThQUoUhZ3XdKEsfv+Qpvd++mYs4u8T0fhc+dP4BtodWgiIiIVKyyGZUN/4MWZyzEMME0K/nz4qp701TfyUkEublWfluPf51/vP8ktKW9aHY6IyAUp90iQ2NhYli1bxrJly8jMzKRbt26EhYWxcOFCXnjhhYqMUaTUDMPg+eu68myNCZwwQ/A5thnz24fyM0IREZFqpm+3ztw/6mpcdduzy9kUV9323D/qGvp20xdSUrFqB/tz05+utToMEZELVu6RIADNmjXjhx9+4MCBA2zYsAFfX1+6d+9OeHh4RcUnUmYhAb78/ZZB/N+b4/jA8QzODZ9CSBS0vrLwhVrAS0REqoHBbaMY3DbK6jDEBhznmfLu2rMQZ1SH/CFJIiIeqty7w9iRXVaury6+WHuIo19OZKzvrKIv0AJeIiIewy59rF3aKdXU+XYkAlLD2xFy+dMYTftWSUgiIr8qbR9bpukwBw4cKFMQhw9rP3GxzjWdG+BuPbz4C7SAl4iIiEjpBUXgcvgVeSrPdJBp+hF6ehPGv68kddoQOLy2igMUETm/MhVBunbtyt13383q1auLvSY1NZV3332Xtm3b8t///veCAxS5EHdd0szqEERERESqh7AYnOPWsaz/f7kv+FWuynuO+4JfZVn/L8n88zo+7PIV/3YPJsd0Epq8DN69lNR/Xg/Hd1gduYhIgTKtCbJ161aeeeYZLrvsMgICAujcuTPR0dEEBARw+vRptm7dypYtW+jUqROTJ09m6NChlRW3SKn4+5R77V8RERER+aOwGHr2jqFn73NPjR3emGN9OvPG9wtpvPkNRjiWELr3e9wJP5AZdy01B/5N05BFxHLlWhPk7NmzzJ49myVLlrB//37Onj1LZGQkHTt2ZNCgQbRt27YyYrWc5vF6ofPNXb0iATrdVGXhiIhI0ezSx9qlnSL7TmTw6bdz6Lw7gYHO/GkxeYYvOZ1uJ+jSR6BGpMURikh1U9o+VgujloESFy90niKICRjd74FLHwf/mlUWloiIFGaXPtYu7RT51ebDqXw5ayYDj0zjIscvAOQ4gnD3vI+A3uPAP9jiCEWkuqiUhVFFvE4JC3i5TAMDYOU0eLMH7JpXpaGJiIiIVHdt64cy6d5bMW/5lidD/8EmdyP83JkELJnM2Zfakrt0KuRmWR2miNiIRoKUgb698VIpB1m2aTufrDrA4dNZ1A8PoFfT2vx321kC03bznO97NDBO5F8bPwoGPg1BtayNWUTEZuzSx9qlnSJFMU2TuVuOsGr2h4zK+BdNHMkAZARGETDgrzjjbwBnmZYsFBEpoOkwlUCJS/WSmZPHiz9s5/Nl2/iL8zNG+8zFgQk16sCwlyDuSqtDFBGxDbv0sXZpp0hJ8lxuZq7dx+657zA69zOijFMApAc3pcaQJzBaXwGGYXGUIuJtVASpBEpcqqc1+07x8BcbCT+5nsm+79DMkZR/otXlMOxlCK5nbYAiIjZglz7WLu0UKY2sXBefLt3O6YVvcpt7JuFGOgBnIjoQPOzv0KQvpByEzJPn3hwUoZ1mRKQQFUEqgRKX6isr18UrP+7gX4u3c6/zK8b6zMIHFwSEwqBn86fJ6BsJEZFKY5c+1i7tFCmLtKxc/vnzRnxWTOUWYzY1jGwAMup2ocaJjeDKOfcmH3+4b60KISJSQAujFuPbb7+lZcuWNG/enPfee8/qcMRDBPg6eWxoaz65tw+zwm/l8uxn2OhuDFmp8PVY+PcIOL3P6jBFRMQDKJcQqVghAb7cP7Qz1zw8jantvuCfrkHkmE5qHF1TdAEEIC+76BEiIiLnYauRIHl5ecTFxTF//nxCQ0Pp3Lkzy5YtIyIiolT369sbe8jKdfHavJ28t3AHtzq+5/98vyCAHPANgv6ToNtd4HBaHaaISLXiLX2scgmRynfgZCbTZy+g187J9HeuL/7CuxZCdHyVxSUink0jQYqwatUq2rRpQ/369alZsyZDhgxh7ty5VoclHibA18mjg1vx37GXsCjyBgZlP88Kd2vIzYQ5E+CDQXBsm9VhioiIBZRLiFS+2IggJt0ylMZ/eqbkC915VROQiFQrXlUEWbRoEcOHDyc6OhrDMPjqq6/OuSYhIYFGjRoREBBA9+7dWbVqVcG5pKQk6tevX/Bz/fr1OXz4cFWELl6ofYMwZt3fiyv7XczNeX9jYu4YzhAIh1ZjTrsYFrwAecUM0RQREY+kXELEezSJrFHi+ax//QnXwhchQ9NiRKT0vKoIkpGRQYcOHUhISCjy/Geffcb48eN54oknWLduHR06dGDQoEEcO3asiiOV6sLfx8n4gS2ZObY3iXWu4rKsyfzk6ojhzoUFz8I7feDwWqvDFBGRUlIuIVJ9BOScwjn/afJeakX2f++F5M1WhyQiXsCnLBc3btwYoxw7ZDz44IOMGzeuzPf90ZAhQxgyZEix51955RXuvPNObrvtNgCmTZvG7Nmz+eCDD5gwYQLR0dGFvq05fPgw3bp1K/Z52dnZZGdnF/yclpZ2wW0Q79S2fihfj+3FWwvqce/8CAa7lvGU3z+pdWwr5nsDMC76M/T7K/gFWR2qiIiUQLmEiBcJisDl8MPpPnfkba7hy+uM4jLXQto79uKz6RPY9AmZ0T0I6n0ftByiNdxEpEhlKoJMnz69XG/SqFGjct1XFjk5Oaxdu5aJEycWHHM4HAwYMIDly5cD0K1bNzZv3szhw4cJDQ3l+++/5/HHHy/2mc899xxPPfVUpccu3sHPx8EDA5ozqG1d/jIjhP6H2zLJ999c5VwKy6fCtm/hijeg8SVWhyoiIuWgXELEw4TF4By3jmWbtvPJqgMcPp1F/fAAbuzWkJ7tWnBfzWi+TUziXwu/o2/Klwx2rCIoaTl8tpyzNRrg3/NuHJ1ugcAwq1siIh6kTEWQPn36VFYcF+zEiRO4XC7q1q1b6HjdunXZti1/EUsfHx9efvll+vXrh9vt5pFHHilxNfeJEycyfvz4gp/T0tKIidFe5HbXql4IM//ci3cW7eHRn8L42tWT5/0+oN7pffDP4dBpNFz2d3W4IiJeRrmEiAcKi6Fn7xh69j73lD9wdZcYRna+i9X7/sTjC1YSu/sTrnf+THjGIfjxcXJ/fhazww349bgXareo8vBFxPOUqQhSHVxxxRVcccUVpbrW398ff3//So5IvJGv08HYfs24LK4uD38RwoCDLXnE5zNu8fkR1v0Tds6FYa9Aq6FWhyoiIhVMuYSIZzEMg26Na9Gt8RAOnurDO0u2cXbdp1zv/p5WHIR1H8C6Dzgb25fA3vdB0/7g8KqlEUWkAlVIEeTUqVOEhYXhsPAfk8jISJxOJ0ePHi10/OjRo9SrV++Cnp2QkEBCQgIul+uCniPVT4u6wfz3nh68v2QvT/9Yk2+zL2Ky33s0OnME/nMDtBkJQyZDzdpWhyoiIuehXELE+8XUCuLRKzqRMag9X679M+8u+obBGV/R37GOwAML4OMFnA1pTECvezHibwT/YEg5CJlF7DATFAFhGrklUt0Ypmma5blx69atzJo1i1mzZrFy5UrCw8MZOnQoV155JYMHD6ZGjZK3tLpQhmEwc+ZMRowYUXCse/fudOvWjTfeeAMAt9tNbGws9913HxMmTLjg90xLSyM0NJTU1FRCQkIu+HlSvew+ns4jX2xk8/6jPODzJXf7fIsTNwSGw+Dnof11UI6FhUVE7MCKPla5hEj153abLNx5nG8WLCPu4H+41rmAEOMsADk+NXG0GYHP5s/Bde7iq/j4w31rVQgR8RKl7WPLNBJk+/btvPPOO8yaNYujR49y2WWXcc899zBr1iz27NnDN998w9///nduuukm+vbtyxVXXMG99957wY35VXp6Ort27Sr4ee/evSQmJlKrVi1iY2MZP348o0ePpkuXLnTr1o0pU6aQkZFRsMK7SGVqWrsmn9/dg+nL9vHiDwHMzu7OS37v0vrsPph5N2yaAZc8Cj5+596sbxpERKqEcgkRe3E4DPq1rEO/liPYdaw/ry7aimPjJ4xiDk3ykmHDR8XfnJedP0JEOZpItVKmkSAffvghK1eu5Morr6R///74+RXxH3PAvn37+Prrr/nmm2/46aefKizYBQsW0K9fv3OOjx49umDnmqlTp/Liiy+SnJxMfHw8r7/+Ot27d6+Q99e3N1Ja+05k8MgXG1m37xh3OWfzoO+X+JFb/A36pkFEbK6q+ljlEiKSkpnDf1btZ8eSrxiV/R86O3cVf/FdCyE6vspiE5HyK20fW+7pMHby+3m8O3bsUOIipeJ2m/x7xX5emLONqNwDvOE3lThjf/E3qJMVERur7sUB5RIinifP5Wb5kp/pPf/q4i8a+Ax0vxucvlUXmIiUS5UWQc6ePcupU6eoX79+oeNbtmyhTZs2F/p4j1HdEzSpHAdPZfLIFxs5s3cV3/o/XvyFKoKIiI3ZpY+1SztFvEZSIrzTp8RLcvxr4Yy/DmfHm6Be26qJS0TKrLR97AVv5/LFF1/QvHlzhg0bRvv27Vm5cmXBuZtvvvlCHy/i9WJqBfHxHd35c9/mJV+YcqBqAhIRERGRUjlt1sQv+xTOlW/BtF5kTe0FK9+GjCJ2kxERr3DBRZCnn36atWvXkpiYyIcffsiYMWP45JNPANBMG5F8DofB0HZRJV/0+c3w2c2QtL5qghIRERGxu6AIXI6i1znMc/jxUfvpPOCYyHeubuSYTgJObIbvH8H1UgtyPxkF2+eAK6+KgxaRC1Gm3WGKkpubS926dQHo3LkzixYt4qqrrmLXrl0Y2g5UpGx+mZX/atIXLh4PjS/RtroiIiIilSUsBue4dSzbtJ1PVh3g8Oks6ocHcGO3hvRs14L7w2LIHdGf+dtu5ZFVWwjfPYuRjgW0c+zDueNb2PEtOQGR+MRfj6PTTVCntdUtEpHzuOA1Qfr168drr71G+/btC47l5OQwevRoZsyYQV6e91dGtZiZVIiUg+RM6VjkLjFZpi+35/yFGwOWMtRcigNX/on6nfOLIS2HguOCB26JiHis6r5WhnIJkerhRHo2X60/zNpVi+l8+ntGOJcSaaQVnM+u0wH/LjdD26shqBakHMzfZvePgiK0K6BIBauyhVGXLFlC8+bNC0aD/N7SpUvp1avXhTzeo1T3BE0q34JVa3lx5nIMA0yTgj/7xrfkm/0+HDiVSQPjOGP9v+MaYwG+Znb+jbVbQa8Hod01Wp1cRKolu/SxdmmnSHVnmiabD6fx3zV7OZU4m2Gun7nUsR5fI/+LLJfDF3fjvvjuXQDuc78Aw8cf7lurQohIBaqyIsiNN97Inj176NSpEwMHDqR///4EBwdfyCM9lhIXqQhzNh/htXk72XM8gya1a/BA/xYMbluPPJebbzceIWH+LnYeSyeSVO70+4HRvj8S4MrIvzk0FnreDx1vAr8gaxsiIlKB7NLH2qWdInaSlevip1+OMmflZurun8U1joW0dpRiwXvtDChSoap0i1zTNFm7di1z585l3rx5mKZJv379GDhwIN26das2a4MocZGq4HabzN16lIT5u9h0OJVgMrnFdx73+P9AcN6p/IuCIuGie6HrHRAYZmm8IiIVwS59rF3aKWJXyalZfLn+EOtXLuLyM59zpc/y4i9WEUSkQlVpEeSP0tPT+fnnn/nhhx9YvXo1q1atqui3sIQSF6lKpmmycMdxEubvYvW+0/iTw7U+i3gw8DsicpPzL/ILhq63w0VjIfjcKWkiIt7CLn2sXdopYnemafLLusXEfTO82Gtya7XEt8st0OYqCK1fhdGJVE9VWgQ5ffo0pmlSq1Ytjh8/zuLFi2nZsiVt2rS50Ed7BC1mJlZbueckU+fvYvHOEzhxMdy5nIdrfE/9nL35Fzj9oeMo6DkOajW2NlgRkXKo7sUB5RIiNpSUCO/0KdWlOfW749f+Goi7Ul9siZRTlRVB3nvvPZ599lkAHn74YT7++GM6dOjA4sWLGTduHHfccceFPN6jVPcETTzfhoMpJMzfxdytRzFwc6ljPRODv6dZ9tb8CwwntB0JFz8EdatHEVJE7MEufaxd2ikinLcI8lbucDo5d9Ldsa3gmBsHrtie+La/GlpfCTUiqiBQkeqhyoog7du3Z+XKlZw9e5bY2Fj27t1L7dq1SU1NpU+fPiQmJl7I4z2KEhfxFNuTz/Dmgl18syEJt2nS3djGYyHf0SF77W8XtRicv71ubHfrAhURKSW79LF2aaeIACkHcb3eCac755xTLocfJ29bzjf7nSxfv5GGyXO53LmCjo5dBde4DSeuhpf8ryByOQSGF3q2tt4VKazKiiCdOnVi3bp1AMTHxxcqenTs2JH169dfyOM9ihIX8TT7TmTw1oLdfLn+ELkukzbGXh4L+Z6e2Usx+N//tRv2yi+GNOsPqYfUYYqIR7JLH2uXdorI/6QcZNmm7Xyy6gCHT2dRPzyAG7s1pGe7FoVyr4OnMpm96Qgr162nxYmfuNy5nHaOfQXn3YYP7qb98Wl3NdRrD+/2gbzsc99PW++KjVVZEaRr164sXryYgIAAUlNTCQ0NBfIXR+3du7eKICJVICnlLO8s2sOnqw6QneemsXGER4PnMDB3AQ7zf3vT124FJ3drr3oR8Uh26WPt0k4RKb89x9P5duMR1q1bQ9uUeVzuXEErx8GC8y7DB6eZV/wDtOuM2FSVFUFSU1MJDg7G4XAUOn7s2DH2799P165dL+TxHkWJi3i642eyeW/JHj5avp+MHBf1OMn/Bf/IVe4f8XGdLflmdZgiYiG79LF2aaeIVIztyWf4ZkMSmxJX0unMfC53LKep40jJNymnE5uqsiLI4cOHAahfv/pv66TERbxFSmYO05ft48Ol+0g9m0sYZ3gy6AtGuH8s/iZ1mCJiIbv0sXZpp4hULNM02Xw4jW83HObs+hn8Pe+V4i++eDx0vxuC61VdgCIeoLR9rKPYM+exdOlSGjduTGxsLLGxsdStW5dHH32UtLS08j7SYyUkJBAXF1etRrVI9RYW5MeDA1qwdMKlTBzSCp+akbx7tm/JN+34AXIyqyQ+ERG7US4hIhfCMAzaNQhl4rA4nrztipIvXvIKvNySvLf7w5Ip+dOhRaRAuUeCtG3bltjYWJ5++mlCQkJYtmwZr732GqmpqSxcuLBajgzRtzfirbJyXfw4by7DV1xf8oX+odD+T9DpFojqUDXBiYhgnz7WLu0UkUp0nq13t7kb0MpxqNCx3IiW+MYNz99lJioeDKPwTdptRqqBSp8OExgYyIYNG2jRokXBMdM0ufbaawGYMWNGeR7r0ZS4iFc7T4eZ6V+boOzjvx2I6pBfDGl7DQSGVXp4ImJvdulj7dJOEalEJWy9m+fw41+dvmT+zhM0PLGQgY419HBsxddwFVyTWzMan7jLMVoPh9iecOYITO2s3WbE65W2j/Up7xu0bt2aY8eOFSqCGIbB3//+d7p161bex4pIZQmKIAdf/Dh3d5gs05fLUv9KK7/jjAtfTrszS3Ac2QCz/w9++Bu0GZFfEIntce43ByIiIiJSdcJicI5bV+zWu7eHxXA7cPDUIH7YksyHm3YReng+Ax1r6OvYQFB6Eqx6B1a9Q55/GM7Y7hhFFUAgvzCSeVJFEKlWyj0S5PXXX+fDDz9k1qxZxMT89n+KFStWcPXVVxcsmFqd6Nsb8XYLVq3lxZnLMQwwTQr+vKhtc34+4s/eExkAhJPGvbXWcq3jZ8LSfzePNKJZfjGkww1Qs45FrRCR6sgufaxd2ikinuVEejY/bT3Kz5v2Y+xdSH9WMcC5llpG+vlv1uL54iUqfTrMr1vi+vn5MXLkSOLj43G5XHz00Uc89thjjBo1qnyRezAlLlIdzNl8hNfm7WTP8Qya1K7BA/1bMLhtPUzTZOXeU3y66gDfb04mJ88NmFzku4fxkSvofGY+zrz/LZzq8IGWQ6HTaGjaDxxOS9skIt7PLn2sXdopIp7rTFYuC7Yf58fNh0nbsYSrXD9wpc/y4m+4+n1oe7VGA4vHq/QiyNGjR0lMTGTDhg0kJiaSmJjIzp07MQyD1q1b065dO9q3b0/79u0ZPHhwuRviSZS4iF2czsjhy/WH+XTVAXYdy/+GoAZnuTN8PaP8FlI7ddNvF4c0gI43QcdREBZrUcQi4u3s0sfapZ0i4h2y81xsXLWIrnNHlHhdXs0ofFoNgRaDofEl4BtYNQGKlEGlF0GKkpWVxaZNmwoVRzZv3kxKSkpFvYUlEhISSEhIwOVysWPHDiUuYhumabJ2/2k+WXWA2RuPkJ3nBqCdzyEerrOSnuk/4ZOT+r+rDWh6af50mZZDwcdPK42LSKlV9+KAcgkR8VjnWTw/y/QhwMgr+NnlDMBo0gdHy8HQfBCE/m5XUOV+YiFLiiDVXXVP0ERKkpqZy1eJ+aNDtiWfAcCfHG4J38RtAYuJPr3qt4uDIqHVMNjwKbjOXblcK42LyB/ZpY+1SztFxIuUsNtMruHHxDpvcfrwDvqwjv7OddQ3Chc58uq0zR8lEt0RvrhNu8yIZSq9CLJ69WomTJjA8ePHadasGfHx8QWv2NjqOSReiYtI/uiQxIMpfLrqAN9sOMLZ3Pwt15r6HOPRumvomzkXv7PHzv8gLbIlIr9jlz7WLu0UES+TcrDY3WYIiyE9O4/FO44z75ejHNy2hs7Zq7jUuZ5Oxk4cRin/c1K5n1SySi+CtGrVitjYWK644gr27t1bsC7I6dOnCQ8P5+TJIoZBeTklLiKFncnK5evEJD5ddYAtSWkAOHFxfdg2xgZ8T3TKuuJvVkcoIr9jlz7WLu0UkerL7TZJPJTCz78cY/WWHUSfWEp/53r6OtZT0yhmq12AuxbkjxYRqSSVXgSpUaMGGzdupGnTpoWO79+/n8TERK688sryPNajKXERKd6mQ6l8suoAsxIPk5Hjoo2xl9n+fy3+hlbDoNtd0Ki3dpcREdv0sXZpp4jYx+GUs/y87Rh7EhfyRPL9xV6XFxCBT+sh0GwANOkHgWFVF6TYQqUXQQYMGMCkSZO45JJLyh2kt1HiInJ+6dl5fLMhiVXLfubVlAfOf0ONOtBmBLS9Bhp0hf9tvy0i9mKXPtYu7RQRGzrPAqu/5zacmPW74GxxWX5RpF6H33JALa4q5VTpRZDZs2fz6quv8vnnn1OrVq1yB+pNlLiIlMF5OsLdkf1olJ6IM+v0bwdDY6DNVfl70Ud10H70IjZilz7WLu0UERs6T+43Kfc2Yo1k+jg20txxuNC5vMBInM37Y0R3gh8ngUuLq0rZVXoRxOFwYBgG4eHhXHnllfTo0YOOHTvSrl07/Pz8yh24J1PiIlIGKQfJmdIRP3LPOZVl+nJp9sscI4xb6+7lhqDVND65AEdO+m8XRTTLL4a0vRpqt6zCwEXECnbpY+3SThGxoRJ2mXE5/Dh79yqWnghkwfbjbN+2mVYZq+nj2EAvx2ZqGlmlew+tKSclqPQiyJ49e9iwYUOh1759+/D19aVly5Zs3Lix3MF7KiUuImWzYNVaXpy5HMMA06Tgz34dW7I+LZhlu0/y679AgUYO90TvYaTfShocX4iR97vOsG5baDsyvyAS3siStohI5bJLH2uXdoqITZ1nl5lfmabJrmPpLNh+nMXbD+Pev5KLSWSQYzWNHcnFP/+G/0DLIVXQEPFGlV4EKe5NN2zYwMaNGxk7dmxFPdZjKHERKbs5m4/w2ryd7DmeQZPaNXigfwsGt60HwLG0LL7deISvNySx4WBKwT3hPtncH72TYY5l1Dm2FMP9u9Ek9bvkF0PaXAUhUfnHNHdUxOvZpY+1SztFRMoiIzuP5btPsj1xMWN3jCnx2rywxvg07w9NL81fYD+giH9LlRvakiVFkOoqISGBhIQEXC4XO3bsUOIiUgn2n8zgmw1JfJ2YxM5jv02LifbP4oHobVzmXkL4sRUYpvt/ZwxodDE07QcLXtDcUREvV92LA8olRERK4TzriuSZBj7Gb//5av5vgVVHs/8VRaI7wpkjMLUz5Ck3tJtKKYIcOHCgXMGEhYVVi46+uidoIp7ANE22JZ/h68QkvtmQxOGUswXnmgdl8EDUVvrkLib42JrSPVBzR0W8gl36WLu0U0SkXM5TBHk4+HlOnzxOb8dGejs20eQPU2dcfiE4ojtg7Ftc/HsoN6y2StvH+pTloY0aNSpzIIZh8MQTTzBp0qQy3ysi9mMYBq2jQmgdFcIjg1qy7sBpZm1IYvbGI+zMgPt2dwW60ik0nbF1N9Er7TsCUnZbHbaIiIiIXKigCFwOv2IXV31xzOWc8KnD0l0nSNhxgl07ttD67Fp6OzZysWMzoTlpUFIBRARNhykTfXsjYp08l5ulu08yKzGJH7Ykk56dB0AbYy+z/f9a/I21W0P7a6HV5VC7RRVFKyJlZZc+1i7tFBEpt1Iurgr5I4h3HE1n8c7jLN5xlMx9axjuXsAtvj8V//z21+fnhrE9wC+oyPfXeiLeqVKmwzRu3BjDMMoczIMPPsi4cePKfJ+nUeIi4hmycl3M33aMrxOTSN6+kq98JpbuxsgW0GoYtBqeP2fU4ajcQEWk1OzSx9qlnSIiVsjKdbFt3WLiv7/yvNe6HX4Q0w1Hk77QpK/WE6kGKmU6zPTp08sVTHmm0YiIFCfA18mQdlEMaRdF+j4Tphd/7dLoW2lr7CXkyDKMEztgyQ5Y8ioER0OroflFkUa9welbZfGLiIiISMUL8HUSHxNW4jVz8zrRxrmf+u6TsH9J/mv+07j8gnFEtcMoqgAC+YWRzJMqglQDZSqC9OlT/CI1IiJWqBlWlxx88SP3nHNZpi8P7+lEEgNpEjyGe2L3cqm5kogjizDOJMHq9/JfAaHQYnB+QaTZAPCr8dtDNCRSRERExHucZ12RjAHP8cwhHw7t3kL7nPX0dGyhp2MLYTlnYP8yCwKWqlam6TA9e/YkPj6+4NW+fXsCAgIqMz6PoiGsIp5pwaq1vDhzOYYBpknBn4O7xrEjO5z5244VrCECUCfQ5M4Ghxjis4b6R+djZJ747WE+AflbrLUaBvXaw/sDNCRSpArYpY+1SztFRCxVinVF3G6TrUfSWLLrBMt2HiV933qGmwu4zXdu8c9tOQTajMwfRRwSdc576osza1XKmiBPP/00GzduZMOGDezevRvDMGjevHmhwkh8fDx16tSpkEZ4GiUuIp5rzuYjvDZvJ3uOZ9Ckdg0e6N+CwW3rAZCd52LZrpPM2ZzMj78c5VTGb98M1PQzuDXmGCMC1tHkxAIcqft/91QDKOGfSG2xJlJh7NLH2qWdIiLeJivXxfb1i+nw3fnXEwFw1WqGs0kfaHwJ1GqiL848QKUUQX5v1apVjBgxgosvvhhfX1/Wr1/Ptm3bMAyDunXrkpSUVO7gPZUSFxHvl+dys2b/aX7YkswPm5NJSs0qOOfrhOtiznBtzQ3EpS7E5/iWkh+mIohIhbFLH2uXdoqIeKWkRHin+CUgvsjrTQvHIdoa+3AYZfjPaOWMVaJSFkb9vXvvvZeEhASuuuqqgmPfffcdd911F6NHjy7vY0VEKpWP08FFTSK4qEkEky6PY/PhNOZsOcIPW46y61g6H+0L5iMuxjAu5u6625mQ8lTxD/v5GYi/Hpr2h8CwKmuDiIiIiFSC86wnEn75U3x2xI+/7dpP3dNr6enYQg/HVlo5Dpb83Jz04s9pGk2VK/dIkKCgILZs2ULjxo0LHZ81axavvvoq8+fPr5AAPYm+vRGp3nYdS88fIbIlmY2HUmlj7GW2/1/Pf6PhzN9rvsWg/Fdki/yFSUSk1OzSx9qlnSIiXqsU64kAJKdmsXzPCZbtOkn2jnm8nlv8F2cmBmZ0RxyNLs5fTyT2IggIyS+AaEveClPp02H69OlDv379ePLJJwsd37t3L23btiUjI6M8j/VoSlxE7ONwylnWLp/PFStvKPaapIZXUi99K46TOwufCG8EzQdBi4HQ8GLw/cMC0qr4i5zDLn2sXdopImInZtJ6jHf6lv56w4EZFY8jsgVs/E/xF2oaTZlU+nSYV155hUsvvZT9+/fz0EMP0bZtW3Jycnj55ZeJjIws72NFRDxC/bBA6vdoR87K4rffvWZ7f0763MCVsTlcE7qV9hkrCDi8DE7vg1Vv5798a0CTvvkjRJoPBHeeKv4iIiIi1YhBySOA73f8FUfWaS5y/MJFjq00dhzFSFoHSeuqKEL5vXIXQTp37szKlSu57777iI+Px9fXF7fbjY+PD++//35Fxmi5hIQEEhIScLlcVociIlUpLIZlQ38ocvvdlo0b4TgdRPbps3y+x4fPaQ+0J77un7m13j4uNtcRkbQAIz0Zts/OfwFENi+6AAL5xzNPqggiUg0plxARqcbOs5bI6+OuZ3dOOMv3nOKlPSfZt3s7zc9uZIhjJYN81hb/3OUJ0GZE/rTroFq/Hdeo4gtS7ukwv3fgwAESExNxOBx07tyZqKio89/khTSEVcSeitt+1zRNdh5LZ94vx/h521HW7j+N+3f/okYG+XBjw1QuD9xI09NLcR5ZT4lb7oKGPYpt2aWPtUs7RURsp5RriQCYpsmuY+nsSFzCsOXXn/fRJgZmnbj8NUVqt4Q5E8GlUcV/VOlrgtiREhcRKcmpjBwW7jjGvF+OsXDHcc5k5RWc83UaXBbr4I6An+m09+3iH9JpNHS8CaI7gbPcg/VEvI5d+li7tFNERErhPFvyfpfXlRaOwzRzJJX+mTb+Qq1S1gQ5cOBAuYIJCwtTRy8i1V6tGn5c1bEBV3VsQK7LzZp9p5n3y1F+3naMPScy+G6vi/1GLLP9S3jIun/mvwJCoUk/aDYAmvWHkOgqa4eIiIiIVIESptHkOfzI6v80ryX7s3P3bppkbqC74xcucWykseNo8c/c/n1+Hhne6LfdCjV9ppAyjQRxOBxlfwPD4IknnmDSpEllvtfT6NsbESmvPcfT+XnbMXZvWMpzJ+4r9rqzMb0JPL4RslILn6gTl18MadofGvbMH+74K3VsUg3YpY+1SztFRKSUSjGNxjRN9p3MZOWekxzeuoL/23fneR/rrhmFo1EvqNMaFr4ArnMLLdVt+oymw1QCJS4icsFSDpL1akcCjKJ3nLk0+2WCa8dwff3jXOq7iZiTy3AkraPQWiK+QdDo4vxRInXbwEcjtduMeD279LF2aaeIiFSS80yh2eqOpZlxGD+jlAtxFzV9xku/YKuU6TCNGzfGMEre/qcoDz74IOPGjSvzfSIi1U5YDHeGTuP08eRzlkg96xNGshFO0vGzPHW8Jk/RgwDfXgxo6Ms14bvonLuW4EOLID0Zds7Nf5VEu82IiIiI2Mr8Vk/waHIINU8k0tXYTj/HOjo69xR/w7p/QvYZaNAFfAPzCyBTO1frL9jKVASZPn16ud6kUaNG5bpPRKQ6GjWwF/d8tO6cbXenXdeZHk0iWLLrBAt35C+uejQtm293ZfMtMUAMDWvdwLWt0hjov4UmKctxHlgOZl7xb+bWdpwiIiIi1UZQRH4xopgixdih3RkbFsOpjL6s3neKNZuX0/GXW4t/3poPYM0HuB2+GNEdMSKaFv1sqDZfsGk6TBloCKuIVJTitt39PdM02X70DAu3H2fB9uOs2X+KXNdv/2T7OR2MikriiRPji38j3xrQpC807Ze/0GpE098WyRLxIHbpY+3SThERqURlma5ynukzi1ztaOE4RD3jdOne24Onz1TKdJjfu+WWW+jXrx+XXHIJTZs2Le9jRERsaXDbKAa3jSrxGsMwaFUvhFb1Qri7T1PSs/NYvvskC3ccY8H24xw6fZZVh89CSbvN5GbA9tn5L4DQmN+KIo37Qo2I3671kA5MREREREoQFlNhudmRro/y/vE6HD2wnTa5WxjoWM0gn7XF3/Dz09ByCMT2gNqtIO2w102fKXcRxM/Pj+eee44xY8ZQv359+vTpQ9++fenTpw/NmzevyBhFRASo6e/DZXF1uSyuLqZpsudEBptXG7Cq+Hu+bfoE7YLTiTm9EsfBlZB6ENb/O/8FUK99fkGkblv4+j5weU8HJiIiIiLncZ7pM9ddEs91YTG43N345UgaezYuhZU3FP+8XT/mvwC3fyiOOnFeN33mgqfDHD58mEWLFrFw4UIWLlzIjh07iIqK4tChQxUVo8fQEFYR8TgpB8mZ0hE/it9tJolIAn2d9G4UyMiIA3RzbyQ8eQnGsa2lf5+ihj6KVCC79LF2aaeIiHiQCpw+83FePxoax+jk2EWQUUzx4/f+mENW4sjjSp8O86vw8HAiIiIIDw8nLCwMHx8fateufaGPFRGR0giLYdnQH3hx5vJzFlod0Lk13V0RLN55ghPp2czdmc7cnbWAvtQJHsSQFgbDa+6gTdY6AvfOg7NFdEi/SjkIUR20noiIiIiItynL9JmgCFwOP5zunHNOuRx+RA9/nHnHAnhp73FI3sgwYxl3+n5f7OPcn9+Co0nf/Okz4bHw76ssnzpT7pEgjz32GAsWLGD9+vW0bt26YDrMJZdcQnh4eEXH6RH07Y2IeKqSFlr9dYHVxTtOsHjXCVbtPUlWrrvQ/ZdHHmVq+kMlv0lIfWh8CTTuk/9naP2ir9PaIlIOdulj7dJOERHxYikHWbZpO5+sOsDh01nUDw/gxm4N6dmuRaFcLj07jx2Ji+n0/YiKed8LHHlc2j623EUQh8NB7dq1eeihhxg5ciQtWrQod7DeQomLiFQHWbku1u4/zeKdJ1iy6zibD6fRxtjLbP+/Fn+Twwfcf9iKN6LZb0WRRr3zF1m1wd7yUjns0sfapZ0iImIT55k+84/cUdQxUuji2EF7Yze+hrvYa6uqCFLu6TDr169n4cKFLFiwgJdffhk/P7+C0SB9+/a1RVFERMQbBfg66dUskl7NIoFWnEzPZvPaRTC/+Huer/syHaP86GpuJvzYCoyk9XByV/5rzQf5F9VrB7Vbe93iWCIiIiJSTueZPnPrHQ+w8lQNZuw7xfTdy3gj81ELgizsghdG/dWGDRt49dVX+fjjj3G73bhcrop4rEfRtzciUm2VcoFVgDrB/vRv5Mew0L3E522k5uGlcPyX0r2PFliVYtilj7VLO0VExEZKOX3mfKNGPH4kiGmarF+/ngULFrBgwQKWLFlCWloa7du3p0+fEhomIiKep4QFVm/oG89N/vVYtuskq/ed4tiZbD7dlM2nRAKX0ijicgbGORhSYwdxp+fhv6v4xbFY8wG0+xM06Aq+AUVfozVFRERERLxHWAw9e8fQs7fVgZROuYsgtWrVIj09nQ4dOtCnTx/uvPNOevfuTVhYWAWGVzmuuuoqFixYQP/+/fniiy+sDkdExCP07daZrKDoYhdY/XPfZmTlulh34DTLdp1k6e4TbDyUyr6TmbxzEt4hmjbGxcz2L6EIsu6f+S+nP8R0y19TpNHFUL8L+PhpTRHxCsojREREyiEoIj+fKy7PC4qokjDKPR1m9uzZ9O7d2yuHci5YsIAzZ87wz3/+s0zJi4awiogUdiYrl5V7TrF09wmW7z6J8+jGEhdYzWt8KT7Ht0D60cInfAIhtnv+Yqur3yv+DTWdptrypj62vHkEeFc7RUREKlwljvit9Okww4YNK++tluvbty8LFiywOgwREa8XHODLgLi6DIirC8DJw/XJeudJAoyi1xYZuOMq6jV4mCHN0+nj+wsNz6zDuX8JZJ6APQvyXyIeTnmEiIhIOYXFWD6qt9xFEICUlBTef/99fvklf0G8uLg4xowZQ2hoaLmfuWjRIl588UXWrl3LkSNHmDlzJiNGjCh0TUJCAi+++CLJycl06NCBN954g27dul1IU0REpAJE1G/KzaHTOH08mT8OM0wzQjjojuDA/tOs2g/QDH+fFnSKuYdhrVLp7fsLMUd/xrFvUfFvsP7fkJcF0Z3yp8/8kdYTsT3lESIiIlKSchdB1qxZw6BBgwgMDCxIHF599VWeffZZ5s6dS6dOncr13IyMDDp06MDtt9/OyJEjzzn/2WefMX78eKZNm0b37t2ZMmUKgwYNYvv27dSpUweA+Ph48vLyzrl37ty5REdHlysuEREpnVEDe3HPR+vOWWB12qhOtKoXwvI9J1m++yTL95zk+Jlslu89xfK9AC3o7OvPf50lFEFWv5f/8gnMX1Ok0cXQsBc06ALpx7SeiCiPEBERkRKVe02Q3r1706xZM9599118fPJrKXl5edxxxx3s2bOHRYtKSGJLG5xhnPMNTvfu3enatStTp04FwO12ExMTw/3338+ECRNK/ewFCxYwderUEufyZmdnk539WzKdlpZGTEyM5vGKiJzHnM1Hil1g9VemabL7eAbL95xkxf+KIlGZ20tcU8TdqA+OY1vyp8/8ntMf6sTBkfXFB6X1RDxaZayVYXUeAcolREREqkqlrwmyZs2aQgUQAB8fHx555BG6dOlS3seWKCcnh7Vr1zJx4sSCYw6HgwEDBrB8+fIKf7/nnnuOp556qsKfKyJS3Q1uG8XgtlElXmMYBs3q1KRZnZrcfFFD3G6TPbsbkPVR8WuKDNtzLfUbNmdwXCq9fLcRk7oOx/6lkHGs5AKICFWfR4ByCREREU9T7iJISEgIBw4coFWrVoWOHzx4kODg4AsOrCgnTpzA5XJRt27dQsfr1q3Ltm3bSv2cAQMGsGHDBjIyMmjQoAEzZsygR48e51w3ceJExo8fX/Dzr9/eiIhIxXM4DJo1b13smiKpBHPIDGf3zhMs2gnQlEDfFnRpeA+D49K5NGseUZveLP4NZt4DzQfkT5+JvQgCw387p7VEbKGq8whQLiEiIuJpyl0Eue666xgzZgwvvfQSPXv2BGDp0qU8/PDD3HDDDRUWYGX46aefSnWdv78//v7+lRyNiIj8XnFrirw1qhONImuwYs9JVu45xcq9JzmdmcviXSdZvAvaGPWZXdI/2cd/yX8tewMwoG4baNgTareEOY+BS2uJSOmUNo8A5RIiIiKeptxFkJdeegnDMLjlllvIy8vDNE38/Py49957ef755ysyxgKRkZE4nU6OHj1a6PjRo0epV69eMXeJiIg3Gdw2imk3dSp2TZHWUSHc1qsxbrfJjmNnWLnnFCv2nCR1zyFwF//c/R3GU984ic/BZXByJxzdnP8qSV52/ggRFUGqBeURIiIiUu4iiJ+fH6+99hrPPfccu3fvBqBp06YEBQVVWHBFvWfnzp2ZN29ewSJnbrebefPmcd9991Xa+yYkJJCQkIDL5aq09xARkd+UZk0Rh8OgVb0QWtULYXTPRrhP1yZryl+LXU/khpWNOOboSvsG19G3E1wauIvmWZvw3zsfTu0q/o22fp0/IiSyJTgchc9pGo1XsSqPAOUSIiIinqJMu8P8fk7r+bzyyivlCig9PZ1du/KT0Y4dO/LKK6/Qr18/atWqRWxsLJ999hmjR4/m7bffplu3bkyZMoXPP/+cbdu2nTPHt6JVxsr1IiJScW5+5Ytz1hMxgBz/cM741+NIalah6x0GDK9zjNdSHzz/wwPDIbZH/qthz/xCx5vdtSVvBamoPtaT8whQLiEiIlJZKmV3mPXrS7fyvmEYZXlsIWvWrKFfv34FP/9aeBk9ejTTp0/nuuuu4/jx40yaNInk5GTi4+OZM2dOlSQuIiLi2YpbT2TaNZ0Z1KYuh06fZcWek6zae4pV+06x/2Qmu45lQElLNkR3hOPb4exp2P5d/gvAJ6DoAghoGo2FlEeIiIhISco0EsTu9O2NiIjnm7P5SLHrifzRkdSzbF+/hL4Lrin2eWMCXiK8cUcGhSfTiW3UOrkG48CK/KJISW75Gpr0Pfe4ptAUyS59rF3aKSIiUtUqZSSIXWker4iI9yjNeiK/igoNJCq+FTkLfPGj6LVEfknxI2n9Ub7AAFoTWTOe7o3+j6sD13HppkeKf/i/roSI5vnb8Tbsmf+nwwemdtEUGhtSLiEiIuIZyjQSJDk5mfDw8FJv9bZnzx6aNGlS7uA8jb69ERGpnhasWsuLM5efM41m3OXd8I9sxOp9p1i99zSJB1PIceVvQdPG2Mts/7+W7Y0Ca8HZU8Wfv2shRMeXvyFezC59rF3aKSIiUtUqZSTIF198waOPPsrAgQO54ooruPzyy6ldu3aha1auXMnXX3/N119/zYEDBzhz5kz5WiAiIlJF+nbrTFZQ9DnTaAb9bxpN35Z1AMjKdbHxUCqr950ieXsKJBf/zE9aJ9Am0oeWOVsISFoJh9eVXAAByD1b9HFNoRERERGpEGVeE2TXrl3MmjWLr7/+mhUrVtC1a1eGDh3K3r17+fbbbwEYNmwYV155JZdddhkBAQGVErgV9O2NiIgUSDlI1qsdi92S99Lsl0kiEsOAlnWD6RFbg+GOJXRKnFTCQx0Q1S5/B5qY7vl/uvNgaudqP4XGLn2sXdopIiJS1Urbx17QwqgnT57k22+/5bvvvqNRo0ZceeWV9OjR44J2h/FkSlxEROT3ituS1yc4kubNW7Nm/2n2nsgoOFeuKTQ160F6CUNOqskUGrv0sXZpp4iISFWrkoVRIyIiGD16NKNHj76Qx3g8LWYmIiJFKXZL3is6F+xIc+xMFmv3nWbVvlOc3nUcUot/3jftXqd1uEGjzE34HFoBRzeXXAAByCtiCo2mz3gc5RIiIiKeQVvkloG+vRERkT8qy5a8pZ1C4+d00LZ+CL1i/BniXkTc+qdKiMAB0R3yp8/EdIewWJg+1Oumz9ilj7VLO0VERKpapYwEady4cbmmujz44IOMGzeuzPeJiIh4urJsyUtYDHeGTityCo2jZgQdmrcgZ99pTqRns+5ACusOwM+GH7NL3JTNDUnr818rp5X8/nnZ+SNEfl8E0agRERERsZEyFUGmT59erjdp1KhRue4TERGpboqdQnNl/hQa0zQ5cCqT1ftOs2bfKVL2HIWM4p/3XfvXaBVu0DBjE85DKyF5E1DCIM+Dq6BWYwgIzS+A2GDRVREREZFfaTpMGWgIq4iIVIRKmULj46BDg1CuDN/PTb/cc54IDKgTBxFN4Jdvir+sChddtUsfa5d2ioiIVLUqWRjVLrSYmYiIVKSKmkJj1IigTdPmZO0/zamMHFbvO03m/pPcVNL0meBoOJMEx7bkv8pCU2fKTbmEiIiIZ9BIkDLQtzciImKFOZuPFD2F5qbfptDsPZHBmv2nOfLLCh7YfUexz3oq6i1iGzWhl/8eGp+Yj+/mz4t/49qtoWk/iOkGoTGVuuCqXfpYu7RTRESkqmkkiIiISDUxuG0U027qVOwUGsMwaFK7Jk1q14RmkDPFFz+Knj7zw95ckvaeBELp4Izna98SiiDHf8l/rXiz5ACLWnBVRERExAOpCCIiIuIFSj2FJiyGZUN/4MWZy88ZOXJD33jG1KjP2v2nWLPvNHnpJQ8GPdL5Yeoap3EcWnX+BVdFREREvICKICIiItVM326dyQqKLnbkyJiLG2OaJkcOxJL1wZPFLrp69dIYTvt2oUPMNQxvs59RW+6u6qaIiIiIVCgVQURERKqh840cMQyD6IYtuLmIRVcBsv3CSA+ozdmsPFbsOcUZ4wSjSlpwVURERMQLqAhSClrRXUREqqtRA3sVvejqnzozMK4uu4+ns3b/aZK3ZcAeq6P1XsolREREPIN2hykDreguIiLV0ZzNR4qdOlMg5SA5UzoWueBqDr74Pbheu8OUgl3aKSIiUtW0O4yIiIiUSqkWXS1hwdWHr+pJX+0MIyIiIl5ARRAREREpleIWXO37x1EjIiIiIh5KRRAREREptVJv1SsiIiLigRxWByAiIiIiIiIiUhVUBBERERERERERW1ARRERERERERERsQUWQUkhISCAuLo6uXbtaHYqIiIh4IeUSIiIinsEwTdO0OghvUdp9h0VERKRs7NLH2qWdIiIiVa20faxGgoiIiIiIiIiILagIIiIiIiIiIiK2oCKIiIiIiIiIiNiCiiAiIiIiIiIiYgsqgoiIiIiIiIiILagIIiIiIiIiIiK2oCKIiIiIiIiIiNiCiiAiIiIiIiIiYgsqgpRCQkICcXFxdO3a1epQRERExAsplxAREfEMhmmaptVBeIu0tDRCQ0NJTU0lJCTE6nBERESqDbv0sXZpp4iISFUrbR+rkSAiIiIiIiIiYgsqgoiIiIiIiIiILagIIiIiIiIiIiK2oCKIiIiIiIiIiNiCiiAiIiIiIiIiYgsqgoiIiIiIiIiILagIIiIiIiIiIiK2oCKIiIiIiIiIiNiCiiAiIiIiIiIiYgsqgoiIiIiIiIiILagIIiIiIiIiIiK2oCKIiIiIiIiIiNiCiiClkJCQQFxcHF27drU6FBEREfFCyiVEREQ8g2Gapml1EN4iLS2N0NBQUlNTCQkJsTocERGRasMufaxd2ikiIlLVStvHaiSIiIiIiIiIiNiCiiAiIiIiIiIiYgsqgoiIiIiIiIiILagIIiIiIiIiIiK2oCKIiIiIiIiIiNiCiiAiIiIiIiIiYgsqgoiIiIiIiIiILagIIiIiIiIiIiK2oCKIiIiIiIiIiNiCiiAiIiIiIiIiYgsqgoiIiIiIiIiILagIIiIiIiIiIiK2oCKIiIiIiIiIiNiCiiAiIiIiIiIiYgsqgoiIiIiIiIiILagIIiIiIiIiIiK2YLsiyMGDB+nbty9xcXG0b9+eGTNmWB2SiIiIeAnlESIiIt7Nx+oAqpqPjw9TpkwhPj6e5ORkOnfuzNChQ6lRo4bVoYmIiIiHUx4hIiLi3WxXBImKiiIqKgqAevXqERkZyalTp5S8iIiIyHkpjxAREfFuHjcdZtGiRQwfPpzo6GgMw+Crr74655qEhAQaNWpEQEAA3bt3Z9WqVeV6r7Vr1+JyuYiJibnAqEVERMQTKI8QERGRknhcESQjI4MOHTqQkJBQ5PnPPvuM8ePH88QTT7Bu3To6dOjAoEGDOHbsWME18fHxtG3b9pxXUlJSwTWnTp3illtu4Z133qn0NomIiEjVUB4hIiIiJTFM0zStDqI4hmEwc+ZMRowYUXCse/fudO3alalTpwLgdruJiYnh/vvvZ8KECaV6bnZ2Npdddhl33nknN998c4nXZWdnF/yclpZGTEwMqamphISElK9RIiIico60tDRCQ0MrtI+1Oo/49VrlEiIiIpWvtLmEx40EKUlOTg5r165lwIABBcccDgcDBgxg+fLlpXqGaZrceuutXHrppedNXJ577jlCQ0MLXhruKiIi4r2qOo8A5RIiIiKexquKICdOnMDlclG3bt1Cx+vWrUtycnKpnrF06VI+++wzvvrqK+Lj44mPj2fTpk1FXjtx4kRSU1MLXgcPHrzgNoiIiIg1qjqPAOUSIiIinsZ2u8NcfPHFuN3uUl3r7++Pv79/JUckIiIi3qIseQQolxAREfE0XjUSJDIyEqfTydGjRwsdP3r0KPXq1au0901ISCAuLo6uXbtW2nuIiIhI5bIqjwDlEiIiIp7Cq4ogfn5+dO7cmXnz5hUcc7vdzJs3jx49elTa+44dO5atW7eyevXqSnsPERERqVxW5RGgXEJERMRTeNx0mPT0dHbt2lXw8969e0lMTKRWrVrExsYyfvx4Ro8eTZcuXejWrRtTpkwhIyOD2267zcKoRURExBMojxAREZGSeFwRZM2aNfTr16/g5/HjxwMwevRopk+fznXXXcfx48eZNGkSycnJxMfHM2fOnHMWORMRERH7UR4hIiIiJTFM0zStDsLTJSQkkJCQgMvlYseOHefdd1hERETKJi0tjdDQ0GrbxyqXEBERqVylzSVUBCmD6p6giYiIWMUufaxd2ikiIlLVStvHetXCqCIiIiIiIiIi5aUiiIiIiIiIiIjYgoogIiIiIiIiImILKoKUQkJCAnFxcXTt2tXqUERERMQLKZcQEauQg5sAABJxSURBVBHxDFoYtQy0mJmIiEjlsEsfa5d2ioiIVDUtjCoiIiIiIiIi8jsqgoiIiIiIiIiILagIIiIiIiIiIiK2oCJIKWgxMxEREbkQyiVEREQ8gxZGLQMtZiYiIlI57NLH2qWdIiIiVU0Lo4qIiIiIiIiI/I6KICIiIiIiIiJiCyqCiIiIiIiIiIgtqAgiIiIiIiIiIrbgY3UA3uTXNWTT0tIsjkRERKR6+bVvre7rtSuXEBERqRylzSVUBCmFhIQEEhISyMnJASAmJsbiiERERKqnM2fOEBoaanUYFU65hIiISNU4Xy6hLXLLwO12k5SURHBwMIZhVNhz09LSiImJ4eDBg167XZ63tKFr166sXr3a6jA84vOqys/CE9orpaffV9npM7twpmly5swZoqOjcTiq72xd5RJF86b4lUv8RrmEFEe/r7LTZ3bhSptLaCRIGTgcDho0aFBpzw8JCfH6v/Ce3gan0+lR8Vn5eVnxWXj63w8pTL+vstNndmGq4wiQP1IuUTJviF+5xG+US8j56PdVdvrMLkxpconq+1WLSBHGjh1rdQgeQ5+FiIhI2an//I0+CxHxRiqCiK2os/6NPgsREZGyU//5G30WIuKNVATxAP7+/jzxxBP4+/tbHUq5VYc2VCW7fV52a6+30++r7PSZidW8/e+gt8dvBbt9ZnZrr7fT76vs9JlVHS2MKiIiIiIiIiK2oJEgIiIiIiIiImILKoKIiIiIiIiIiC2oCCIiIiIiIiIitqAiiIWefPJJDMMo9GrVqpXVYZXJ4cOHuemmm4iIiCAwMJB27dqxZs0aq8PyWC6Xi8cff5zGjRsTGBhI06ZN+cc//kF1WZpn0aJFDB8+nOjoaAzD4Kuvvip03jRNJk2aRFRUFIGBgQwYMICdO3daE6yc9/d16623nvNv1ODBg60J1gM899xzdO3aleDgYOrUqcOIESPYvn17oWuysrIYO3YsERER1KxZk6uvvpqjR49aFLFUd9UhjwDlEmWlXEK5hCdRLlE2yiU8g4ogFmvTpg1HjhwpeC1ZssTqkErt9OnT9OrVC19fX77//nu2bt3Kyy+/THh4uNWheawXXniBt956i6lTp/LLL7/wwgsvMHnyZN544w2rQ6sQGRkZdOjQgYSEhCLPT548mddff51p06axcuVKatSowaBBg8jKyqriSAXO//sCGDx4cKF/oz799NMqjNCzLFy4kLFjx7JixQp+/PFHcnNzGThwIBkZGQXXPPTQQ3zzzTfMmDGDhQsXkpSUxMiRIy2MWqo7b84jQLlEeSiXUC7hSZRLlI1yCQ9himWeeOIJs0OHDlaHUW6PPvqoefHFF1sdhlcZNmyYefvttxc6NnLkSHPUqFEWRfT/7d1/UJP1Awfw9xhsIiBjgGxYmyA2QFBIC1ErLkrzTs6sM+UMqTgrE3GQv22amdLpaWF/xEF3qXdRZ12eZVdXR8JdRlghlOYpztmuc4THKYSYqPt8//Dc16GOjbaezb1fd9yxz7bnee95HvF9H57nwXcAiH379jke2+12odFoxLZt2xxjFy5cEEqlUnz00UcSJKSbDdxfQghRXFwsZs+eLUmeQNDZ2SkAiMbGRiHE9eM5LCxMfPLJJ47XHD9+XAAQTU1NUsWku1ig9wgh2CWGgl2CXcJfsUt4jl1CGjwTRGLt7e1ITExEcnIyFixYAKvVKnUkt33++eeYNGkS5s6di5EjRyI7Oxu1tbVSx/JrU6ZMQX19PU6ePAkAaGtrw/fff4+ZM2dKnMz3LBYLOjo68NhjjznGoqOjkZOTg6amJgmTkSsNDQ0YOXIkDAYDFi9ejK6uLqkj+Y3u7m4AgFqtBgD88ssvuHLlitMxnpqaCp1Ox2OcfCaQewTALjEU7BLsEoGGXeLO2CWkESp1gGCWk5ODXbt2wWAwwGazYePGjXjooYdw9OhRREVFSR1vUKdPn8Z7772HiooKrF27Fj/99BPKysqgUChQXFwsdTy/tHr1avT09CA1NRVyuRzXrl3D5s2bsWDBAqmj+VxHRwcAICEhwWk8ISHB8Rz5lyeeeAJPPfUUkpKSYDabsXbtWsycORNNTU2Qy+VSx5OU3W6H0WjE1KlTkZGRAeD6Ma5QKKBSqZxey2OcfCXQewTALjEU7BLsEoGEXeLO2CWkw0kQCd08Yz9+/Hjk5ORAr9dj7969KCkpkTCZe+x2OyZNmoQtW7YAALKzs3H06FFUV1ezuNzB3r178eGHH6Kurg7jxo1Da2srjEYjEhMTuc3I78yfP9/xfWZmJsaPH48xY8agoaEB+fn5EiaT3pIlS3D06NGAu/8C3V0CvUcA7BJDwS5BgYRd4s7YJaTDy2H8iEqlwn333YdTp05JHcUtWq0W6enpTmNpaWkBdyruf2nFihVYvXo15s+fj8zMTBQVFaG8vByVlZVSR/M5jUYDALfc3fqvv/5yPEf+LTk5GXFxcQHzM8pXSktLceDAARw8eBD33HOPY1yj0aC/vx8XLlxwej2PcfqvBFqPANglhoJdgl0ikLFLXMcuIS1OgviR3t5emM1maLVaqaO4ZerUqbf8SaeTJ09Cr9dLlMj/9fX1ISTE+Z+dXC6H3W6XKNF/JykpCRqNBvX19Y6xnp4eNDc3Izc3V8Jk5K4///wTXV1dAfMzytuEECgtLcW+ffvw3XffISkpyen5iRMnIiwszOkYP3HiBKxWK49x+k8EWo8A2CWGgl2CXSKQsUuwS/gDXg4joeXLl6OgoAB6vR5nz57Fhg0bIJfLUVhYKHU0t5SXl2PKlCnYsmULnnnmGRw+fBg1NTWoqamROprfKigowObNm6HT6TBu3DgcOXIEO3bswAsvvCB1NK/o7e11mtm3WCxobW2FWq2GTqeD0WjEm2++ibFjxyIpKQkmkwmJiYl48sknpQsdxFztL7VajY0bN+Lpp5+GRqOB2WzGypUrkZKSghkzZkiYWjpLlixBXV0d9u/fj6ioKMe1udHR0QgPD0d0dDRKSkpQUVEBtVqNESNGYOnSpcjNzcXkyZMlTk93o0DvEQC7xFCwS7BL+BN2Cc+wS/gJqf88TTCbN2+e0Gq1QqFQiFGjRol58+aJU6dOSR3LI1988YXIyMgQSqVSpKamipqaGqkj+bWenh6xbNkyodPpxLBhw0RycrJYt26duHz5stTRvOLgwYMCwC1fxcXFQojrf9rOZDKJhIQEoVQqRX5+vjhx4oS0oYOYq/3V19cnpk+fLuLj40VYWJjQ6/Vi0aJFoqOjQ+rYkrndtgIgPvjgA8drLl26JF555RURExMjhg8fLubMmSNsNpt0oemudjf0CCHYJTzFLsEu4U/YJTzDLuEfZEII4fupFiIiIiIiIiIiafGeIEREREREREQUFDgJQkRERERERERBgZMgRERERERERBQUOAlCREREREREREGBkyBEREREREREFBQ4CUJEREREREREQYGTIEREREREREQUFDgJQkRERERERERBgZMgRERERERERBQUOAlCREREREREREGBkyBEfiYvLw9Go9Fvl+erZZJvcF8REQUfdgnyJu4rutuESh2AiJx99tlnCAsL89vlBaK8vDxkZWXhnXfekToKERGRz7FLeB+7BNHdg5MgRH6iv78fCoUCarXaq8v19vKIbhyrRETkX9glKFCwS5CUeDkMkY/k5eWhtLQUpaWliI6ORlxcHEwmE4QQTs8bjUbExcVhxowZjvGbTznMy8tDWVkZVq5cCbVaDY1Gg9dff91pXXa7HVu3bkVKSgqUSiV0Oh02b958x+W5ygUAX3/9NaZNmwaVSoXY2FjMmjULZrPZo89/8eJFLFy4EJGRkdBqtdi+ffstWUaPHn3Lb1SysrIcn8+dHINtn+eeew6NjY2oqqqCTCaDTCbDmTNnBl33jWUvXboURqMRMTExSEhIQG1tLS5evIjnn38eUVFRSElJwVdffeVyW7izDwfL82+yXL161eX+ttvtqKysRFJSEsLDwzFhwgR8+umnTvlvd6wOZDabIZPJcODAAeTn52P48OEwGAxobm52uX2IiOj22CXYJdzN6M62YJcguo6TIEQ+tHv3boSGhuLw4cOoqqrCjh078P777zs9r1AocOjQIVRXV7tcTkREBJqbm7F161a88cYb+Pbbbx3Pr1mzBm+99RZMJhN+//131NXVISEhYci5Ll68iIqKCvz888+or69HSEgI5syZA7vd7vZnX7FiBRobG7F//3588803aGhoQEtLi9vv9ySHq+1TVVWF3NxcLFq0CDabDTabDffee6/bGXbv3o24uDgcPnwYS5cuxeLFizF37lxMmTIFLS0tmD59OoqKitDX1zfoclztQ19mGWx/V1ZWYs+ePaiursaxY8dQXl6OZ599Fo2NjU7LGOxYbWtrg0wmw44dO2AymdDW1gadTofVq1d79DmJiOj/2CXYJdzJ6Oss7BJ0VxFE5BOPPPKISEtLE3a73TG2atUqkZaW5ng+Ozv7tu9btmyZ0+Np06Y5veaBBx4Qq1atEkII0dPTI5RKpaitrb1jjoHLc5Xrds6dOycAiN9+++22yxzo77//FgqFQuzdu9cx1tXVJcLDw53ep9frxdtvv+303gkTJogNGza4leNGFlfb50553Vn3wGVfvXpVREREiKKiIseYzWYTAERTU9NtM7ubcbA8Q80y2P7+559/xPDhw8UPP/zgtO6SkhJRWFjoWMbtjtWB1q9fL2JiYkRnZ6djbOfOnWLcuHGDvpeIiG7FLsEu4UlGdgki9/BMECIfmjx5MmQymeNxbm4u2tvbce3aNQDAxIkT3VrO+PHjnR5rtVp0dnYCAI4fP47Lly8jPz/fa7na29tRWFiI5ORkjBgxAqNHjwYAWK1Wt5ZvNpvR39+PnJwcx5harYbBYHA7oyc5XG2ff+vmZcvlcsTGxiIzM9MxduO3ZIOtzxsZh5rF1f4+deoU+vr68PjjjyMyMtLxtWfPHqfThd05Vtva2jB79mzEx8c7xiwWC1JSUjz6nERE9H/sEuwS3szILkHEG6MSSSoiIsKt1w28I7tMJnOcxhkeHu71XAUFBdDr9aitrUViYiLsdjsyMjLQ39/v1fWEhIQ4XU8KAFeuXPE4h6vtM9R1u1r2zWM3CsFg6xssozt5vJXlZr29vQCAL7/8EqNGjXJ6TqlUOr5351hta2vDmjVrnMZaW1vx8MMPu52HiIg8wy7BLuFJHnYJIt4ThMinBt7E6ccff8TYsWMhl8u9to6xY8ciPDwc9fX1XsnV1dWFEydO4LXXXkN+fj7S0tJw/vx5jzKNGTMGYWFhTus5f/48Tp486fS6+Ph42Gw2x+Oenh5YLBYA8EqOGxQKheM3U+6sWwq+zONqf6enp0OpVMJqtSIlJcXpy5Prnbu7u3HmzBlkZ2c7jbe2tiIrK8sbH4OIKCixS7BLuItdgsg9PBOEyIesVisqKirw0ksvoaWlBe+++y62b9/u1XUMGzYMq1atwsqVK6FQKDB16lScO3cOx44dQ0lJice5YmJiEBsbi5qaGmi1WlitVo9vRhUZGYmSkhKsWLECsbGxGDlyJNatW4eQEOd510cffRS7du1CQUEBVCoV1q9f7yh13shxw+jRo9Hc3IwzZ84gMjISarXa5bql4Ms8rvZ3VFQUli9fjvLyctjtdkybNg3d3d04dOgQRowYgeLiYrfW8euvvyI0NNTplNo//vgD58+fZ3EhIvoX2CXYJdzFLkHkHk6CEPnQwoULcenSJTz44IOQy+VYtmwZXnzxRa+vx2QyITQ0FOvXr8fZs2eh1Wrx8ssvDylXSEgIPv74Y5SVlSEjIwMGgwE7d+5EXl6eR5m2bduG3t5eFBQUICoqCq+++iq6u7udXrNmzRpYLBbMmjUL0dHR2LRpk+M3Ft7KAQDLly9HcXEx0tPTcenSJVgsFpfrloIv8wx2HG7atAnx8fGorKzE6dOnoVKpcP/992Pt2rVur6OtrQ0GgwHDhg1zjB05cgQqlcpx/TUREXmOXYJdwl3sEkTukYmBF44RkVfk5eUhKyvrlr/XLjUpc/nrNiEiIvJH/vr/JrsEEQUy3hOEiIiIiIiIiIICJ0GIiIiIiIiIKCjwchgiIiIiIiIiCgo8E4SIiIiIiIiIggInQYiIiIiIiIgoKHAShIiIiIiIiIiCAidBiIiIiIiIiCgocBKEiIiIiIiIiIICJ0GIiIiIiIiIKChwEoSIiIiIiIiIggInQYiIiIiIiIgoKHAShIiIiIiIiIiCAidBiIiIiIiIiCgocBKEiIiIiIiIiILC/wBr/pffBgamowAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "low_n = 5\n", "lower_states = {\n", " rf\"${low_n}s_{{1/2}}$\": rydstate.RydbergStateSQDTAlkali(\"Rb\", low_n, l=0, j=0.5),\n", " rf\"${low_n + 1}s_{{1/2}}$\": rydstate.RydbergStateSQDTAlkali(\"Rb\", low_n + 1, l=0, j=0.5),\n", " rf\"${low_n - 1}d_{{5/2}}$\": rydstate.RydbergStateSQDTAlkali(\"Rb\", low_n - 1, l=2, j=2.5),\n", " rf\"${low_n}d_{{5/2}}$\": rydstate.RydbergStateSQDTAlkali(\"Rb\", low_n, l=2, j=2.5),\n", "}\n", "basis_np = rydstate.BasisSQDT(\"Rb\", n=(0, 25), l_r=(1, 1), f_tot=(1.5, 1.5))\n", "\n", "fig, axes = plt.subplots(2, 2, figsize=(11, 8))\n", "\n", "for ax, label in zip(axes.flat, lower_states, strict=True):\n", " n_list = basis_np.calc_exp_qn(\"n\")\n", " me_bare_low = basis_np.calc_reduced_matrix_element(\n", " lower_states[label], \"electric_dipole\", part=\"rydberg\", unit=\"e a0\"\n", " )\n", " ax.plot(n_list, np.abs(me_bare_low), \"C0o-\", markersize=4, label=\"bare\")\n", " me_full_low = basis_np.calc_reduced_matrix_element(lower_states[label], \"electric_dipole\", unit=\"e a0\")\n", " ax.plot(n_list, np.abs(me_full_low), \"C1s-\", markersize=4, label=\"full\")\n", "\n", " ax.set_xscale(\"log\")\n", " ax.set_yscale(\"log\")\n", " ax.set_ylim(5e-3, 5e1)\n", " ax.set_xticks([5, 6, 8, 10, 15, 20], labels=[\"5\", \"6\", \"8\", \"10\", \"15\", \"20\"])\n", " ax.set_title(rf\"$np_{{3/2}} \\leftrightarrow$ {label}\")\n", " ax.legend(fontsize=8)\n", "\n", "for ax in axes[-1]:\n", " ax.set_xlabel(\"principal quantum number $n$\")\n", "for ax in axes[:, 0]:\n", " ax.set_ylabel(r\"$|\\langle \\mathrm{low} \\Vert d \\Vert np_{3/2} \\rangle|$ ($e\\,a_0$)\")\n", "\n", "fig.tight_layout()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(7, 4.5))\n", "\n", "for i, label in enumerate(lower_states):\n", " n_list = basis_np.calc_exp_qn(\"n\")\n", " me_bare_low = basis_np.calc_reduced_matrix_element(\n", " lower_states[label], \"electric_dipole\", part=\"rydberg\", unit=\"e a0\"\n", " )\n", " me_full_low = basis_np.calc_reduced_matrix_element(lower_states[label], \"electric_dipole\", unit=\"e a0\")\n", " ax.plot(\n", " n_list,\n", " np.abs(me_full_low / me_bare_low),\n", " f\"C{i}o-\",\n", " markersize=4,\n", " label=rf\"$np_{{3/2}} \\leftrightarrow$ {label}\",\n", " )\n", "\n", "ax.axhline(1, color=\"gray\", lw=0.8)\n", "ax.set_xlabel(\"principal quantum number $n$\")\n", "ax.set_ylabel(r\"$\\sqrt{S_\\mathrm{full}} / \\sqrt{S_\\mathrm{bare}}$\")\n", "ax.legend()\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The $np \\rightarrow 5s$ line strengths are suppressed down to $\\sim$0.3 (and the $np_{1/2}$ ones even further, cf. the plot above),\n", "but this channel carries only a modest share of the total decay rate.\n", "The dominant $np \\rightarrow 4d, 5d$ channels move by at most $\\sim$15%, partly in the *opposite* direction (the full operator enhances these partially-cancelling integrals),\n", "and transitions between neighboring Rydberg states (large $r$, no cancellation) are untouched.\n", "The net effect on the $np_{3/2}$ lifetimes is a few percent --- worked out in detail below." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Lifetimes vs. principal quantum number\n", "\n", "We compute the spontaneous ($T = 0$) lifetimes of the $ns_{1/2}$, $np_{3/2}$ and $nd_{5/2}$ series\n", "with the default (full) operator and with the bare operator." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "series = {\n", " \"$ns_{1/2}$\": rydstate.BasisSQDT(\"Rb\", n=(6, 25), l_r=(0, 0), f_tot=(0.5, 0.5), m=(0.5, 0.5)),\n", " \"$np_{3/2}$\": rydstate.BasisSQDT(\"Rb\", n=(0, 25), l_r=(1, 1), f_tot=(1.5, 1.5), m=(0.5, 0.5)),\n", " \"$nd_{5/2}$\": rydstate.BasisSQDT(\"Rb\", n=(0, 25), l_r=(2, 2), f_tot=(2.5, 2.5), m=(0.5, 0.5)),\n", "}\n", "\n", "lifetimes_full = {label: [state.get_lifetime(unit=\"us\") for state in basis.states] for label, basis in series.items()}\n", "\n", "element_properties = rydstate.species.rubidium.ElementPropertiesRubidium\n", "alpha_closed_shell_core = element_properties.alpha_closed_shell_core\n", "element_properties.alpha_closed_shell_core = 0 # ignore core polarizability for bare lifetime\n", "rydstate.radial.RadialKet.clear_cached_instances()\n", "\n", "lifetimes_bare = {label: [state.get_lifetime(unit=\"us\") for state in basis.states] for label, basis in series.items()}\n", "\n", "rydstate.radial.RadialKet.clear_cached_instances()\n", "element_properties.alpha_closed_shell_core = alpha_closed_shell_core # restore core polarizability" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (ax_tau, ax_ratio) = plt.subplots(1, 2, figsize=(12, 5))\n", "\n", "for i, (label, basis) in enumerate(series.items()):\n", " n_list = basis.calc_exp_qn(\"n\")\n", " ax_tau.plot(n_list, lifetimes_full[label], f\"C{i}o-\", markersize=4, label=f\"{label} full\")\n", " ax_tau.plot(n_list, lifetimes_bare[label], f\"C{i}o--\", fillstyle=\"none\", markersize=4, label=f\"{label} bare\")\n", " ratio = np.array(lifetimes_full[label]) / np.array(lifetimes_bare[label])\n", " ax_ratio.plot(n_list, ratio, f\"C{i}o-\", markersize=4, label=label)\n", "\n", "ax_tau.set_xscale(\"log\")\n", "ax_tau.set_yscale(\"log\")\n", "ax_tau.set_xticks([10, 15, 20, 30, 40], labels=[\"10\", \"15\", \"20\", \"30\", \"40\"])\n", "ax_tau.set_xlabel(\"principal quantum number $n$\")\n", "ax_tau.set_ylabel(r\"spontaneous lifetime $\\tau$ ($\\mu$s)\")\n", "ax_tau.legend(fontsize=8)\n", "\n", "ax_ratio.axhline(1, color=\"gray\", lw=0.8)\n", "ax_ratio.set_xlabel(\"principal quantum number $n$\")\n", "ax_ratio.set_ylabel(r\"$\\tau_\\mathrm{full} / \\tau_\\mathrm{bare}$\")\n", "ax_ratio.legend()\n", "\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "rydstate (3.12.7)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.7" } }, "nbformat": 4, "nbformat_minor": 2 }