{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# $F=2 \\rightarrow F'=3$ 1D molasses \n", "\n", "This example covers calculating the forces in a one-dimensional optical molasses\n", "using the optical bloch equations. It attempts to reproduce several figures \n", "from Ungar, P. J., Weiss,\n", "D. S., Riis, E., & Chu, S. \"Optical molasses and multilevel atoms:\n", "theory.\" *Journal of the Optical Society of America B*, **6** 2058 (1989).\n", "http://doi.org/10.1364/JOSAB.6.002058" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from mpl_toolkits.axes_grid1.inset_locator import inset_axes\n", "import pylcp\n", "import scipy.constants as cts\n", "from pylcp.common import progressBar\n", "import lmfit" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Define the problem" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Unager, *et. al.* focus on sodium, so we first find the mass parameter for $^{23}$Na:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "195.87538720801354\n" ] } ], "source": [ "atom = pylcp.atom('23Na')\n", "mass = (atom.state[2].gamma*atom.mass)/(cts.hbar*(100*2*np.pi*atom.transition[1].k)**2)\n", "print(mass)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As with all other examples, we need to define the Hamiltonian, lasers, and magnetic field. Here, we will write methods to return the Hamiltonian and the lasers in order to sweep their parameters. Note that the magnetic field is always zero, so we define it as such. Lastly, we make a dictionary of different polarizations that we will explore in this example." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "def return_hamiltonian(Fl, Delta):\n", " Hg, Bgq = pylcp.hamiltonians.singleF(F=Fl, gF=0, muB=1)\n", " He, Beq = pylcp.hamiltonians.singleF(F=Fl+1, gF=1/(Fl+1), muB=1)\n", " dijq = pylcp.hamiltonians.dqij_two_bare_hyperfine(Fl, (Fl+1))\n", " hamiltonian = pylcp.hamiltonian(Hg, -Delta*np.eye(He.shape[0])+He, Bgq, Beq, dijq, mass=mass)\n", " \n", " return hamiltonian\n", "\n", "# Now, make 1D laser beams:\n", "def return_lasers(delta, s, pol):\n", " if pol[0][2]>0 or pol[0][1]>0:\n", " pol_coord = 'spherical'\n", " else:\n", " pol_coord = 'cartesian'\n", "\n", " return pylcp.laserBeams([\n", " {'kvec':np.array([0., 0., 1.]), 'pol':pol[0],\n", " 'pol_coord':pol_coord, 'delta':delta, 's':s},\n", " {'kvec':np.array([0., 0., -1.]), 'pol':pol[1],\n", " 'pol_coord':pol_coord, 'delta':delta, 's':s},\n", " ], beam_type=pylcp.infinitePlaneWaveBeam)\n", "\n", "magField = pylcp.constantMagneticField(np.array([0., 0., 0.]))\n", "\n", "# Now make a bunch of polarization keys:\n", "pols = {'$\\\\sigma^+\\\\sigma^-$':[np.array([0., 0., 1.]), np.array([1., 0., 0.])],\n", " '$\\\\sigma^+\\\\sigma^+$':[np.array([0., 0., 1.]), np.array([0., 0., 1.])]}\n", " \n", "phi = [0, np.pi/4, np.pi/2]\n", "phi_keys = ['$\\phi=0$', '$\\phi=\\pi/4$', '$\\phi=\\pi/2$']\n", "for phi_i, key_beam in zip(phi, phi_keys):\n", " pols[key_beam] = [np.array([1., 0., 0.]), np.array([np.cos(phi_i), np.sin(phi_i), 0.])]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Make a basic force profile\n", "\n", "This is not contained in Ungar, *et. al.*, but it makes a nice figure that contains most \n", "of the essential elements thereof. We start by creating, using our functions defined above,\n", "a set of lasers, the Hamiltonian, and then the set of optical Bloch equations for each polarization\n", "specified in the dictionary defined above." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Completed in 7:11. \n", "Completed in 3:25. \n", "Completed in 7:19. \n", "Completed in 7:49. \n", "Completed in 7:43. \n" ] } ], "source": [ "det = -2.5\n", "s = 1.0\n", "\n", "hamiltonian = return_hamiltonian(2, det)\n", "\n", "v = np.concatenate((np.arange(0.001, 0.01, 0.001),\n", " np.arange(0.01, 0.02, 0.002),\n", " np.arange(0.02, 0.03, 0.005),\n", " np.arange(0.03, 0.1, 0.01),\n", " np.arange(0.1, 5.1, 0.1)))\n", "\n", "obe = {}\n", "for key_beam in pols:\n", " laserBeams = return_lasers(0., s, pol=pols[key_beam])\n", "\n", " obe[key_beam] = pylcp.obe(\n", " laserBeams, magField, hamiltonian,\n", " include_mag_forces=False, transform_into_re_im=True\n", " )\n", " \n", " obe[key_beam].generate_force_profile(\n", " [np.zeros(v.shape), np.zeros(v.shape), np.zeros(v.shape)],\n", " [np.zeros(v.shape), np.zeros(v.shape), v],\n", " name='molasses', deltat_v=4, deltat_tmax=2*np.pi*5000, itermax=1000,\n", " rel=1e-8, abs=1e-10, progress_bar=True\n", " )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot it up:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 1)\n", "axins = inset_axes(ax, width=1.0, height=0.8)\n", "for key in obe:\n", " if 'phi' in key:\n", " linestyle='--'\n", " else:\n", " linestyle='-'\n", "\n", " ax.plot(np.concatenate((-v[::-1], v)),\n", " np.concatenate((-obe[key].profile['molasses'].F[2][::-1],\n", " obe[key].profile['molasses'].F[2])),\n", " label=pols[key], linestyle=linestyle,\n", " linewidth=0.75\n", " )\n", " axins.plot(np.concatenate((-v[::-1], v)),\n", " np.concatenate((-obe[key].profile['molasses'].F[2][::-1],\n", " obe[key].profile['molasses'].F[2])),\n", " label=pols[key], linestyle=linestyle,\n", " linewidth=0.75\n", " )\n", " \n", "ax.set_xlim(-5, 5) \n", "ax.set_xlabel('$v/(\\Gamma/k)$')\n", "ax.set_ylabel('$f/(\\hbar k \\Gamma)$')\n", "axins.set_xlim(-0.1, 0.1)\n", "axins.set_ylim(-0.025, 0.025);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Reproduce various figures\n", "### Figure 6\n", "\n", "This figure compares the force for various polarizations. To make it, we first make each OBE individually, and save the resulting forces.\n", "Note that in Ungar, *et. al.*, they define their velocity scale through $m v_0^2 = \\hbar\\Gamma$, resulting in forces in terms of $M v_0 \\Gamma$. Compared to us, they measure their velocities in terms of\n", "\n", "$$\n", "\\frac{v_0}{k/\\Gamma} = \\sqrt{\\frac{\\hbar\\Gamma}{m}}\\frac{k}{\\Gamma} = \\sqrt{\\frac{\\hbar k^2}{\\Gamma m}} = \\sqrt{\\bar{m}}\n", "$$\n", "\n", "Likewise, the force ratio,\n", "\n", "$$\n", "\\frac{M v_0 \\Gamma}{\\hbar k \\Gamma} = \\frac{M\\sqrt{\\hbar\\Gamma}}{\\hbar k} = \\sqrt{\\frac{M\\Gamma}{\\hbar k^2}} = \\sqrt{\\bar{m}}\n", "$$" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Completed in 6:46. \n", "Completed in 3:59. \n", "Completed in 7:42. \n", "Completed in 8:05. \n" ] } ], "source": [ "det = -2.73\n", "s = 1.25\n", "\n", "v = np.concatenate((np.array([0.0]), np.logspace(-2, np.log10(4), 20)))/np.sqrt(mass)\n", "\n", "keys_of_interest = ['$\\\\sigma^+\\\\sigma^+$', '$\\\\sigma^+\\\\sigma^-$',\n", " '$\\phi=0$', '$\\phi=\\pi/2$']\n", "\n", "F = {}\n", "for key in keys_of_interest:\n", " laserBeams = return_lasers(0., s, pol=pols[key])\n", " hamiltonian = return_hamiltonian(2, det)\n", "\n", " obe = pylcp.obe(laserBeams, magField, hamiltonian,\n", " transform_into_re_im=True)\n", "\n", " obe.generate_force_profile(\n", " [np.zeros(v.shape), np.zeros(v.shape), np.zeros(v.shape)],\n", " [np.zeros(v.shape), np.zeros(v.shape), v],\n", " name='molasses', deltat_tmax=2*np.pi*1000, deltat_v=4, itermax=10,\n", " progress_bar=True\n", " )\n", " \n", " F[key] = obe.profile['molasses'].F[2]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot it up." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 1, num=\"Forces; F=2 to F=3\")\n", "for key in keys_of_interest:\n", " ax.plot(v*np.sqrt(mass), -1e3*F[key]/np.sqrt(mass), label=key)\n", "ax.set_xlabel('$v/\\sqrt{\\hbar\\Gamma/m}$')\n", "ax.set_ylabel('$f/\\sqrt{\\hbar m \\Gamma^3}$')\n", "ax.legend(fontsize=8)\n", "ax.set_xlim((0, 4.))\n", "ax.set_ylim((0, 2.));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Figure 7\n", "\n", "Compare the two-level vs. the corkscrew at large velocities." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Completed in 5:15. \n", "Completed in 1:24. \n" ] } ], "source": [ "v = np.concatenate((np.arange(0, 1.5, 0.2),\n", " np.arange(0.2, 50., 1.5)))/np.sqrt(mass)\n", "\n", "s = 1.25\n", "det = -2.73\n", "\n", "keys_of_interest = ['$\\\\sigma^+\\\\sigma^+$', '$\\\\sigma^+\\\\sigma^-$']\n", "\n", "f = {}\n", "for key in keys_of_interest:\n", " laserBeams = return_lasers(0., s, pol=pols[key])\n", " hamiltonian = return_hamiltonian(2, det)\n", " \n", " obe = pylcp.obe(laserBeams, magField, hamiltonian,\n", " transform_into_re_im=True)\n", "\n", " obe.generate_force_profile(\n", " [np.zeros(v.shape), np.zeros(v.shape), np.zeros(v.shape)],\n", " [np.zeros(v.shape), np.zeros(v.shape), v],\n", " name='molasses', deltat_tmax=2*np.pi*100, deltat_v=4, itermax=1000,\n", " progress_bar=True\n", " )\n", " \n", " f[key] = obe.profile['molasses'].F[2]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot it up" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 1)\n", "for key in keys_of_interest:\n", " ax.plot(v*np.sqrt(mass), -1e3*f[key]/np.sqrt(mass), label=key)\n", "ax.set_xlabel('$v/\\sqrt{\\hbar\\Gamma/m}$')\n", "ax.set_ylabel('$F/\\sqrt{\\hbar m \\Gamma^3}$')\n", "ax.set_ylim((0, 25))\n", "ax.set_xlim((0, 50))\n", "ax.legend(fontsize=8);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Figure 8\n", "\n", "We run the detuning and saturation parameter for the corkscrew model." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Completed in 1:03. \n", "Completed in 1:23. \n", "Completed in 4:36. \n", "Completed in 6:47. \n", "Completed in 4:05. \n", "Completed in 2:15. \n" ] } ], "source": [ "dets = [-1.0, -1.37, -2.73]\n", "intensities = [0.5, 1.25, 2.5]\n", "key = '$\\\\sigma^+\\\\sigma^-$'\n", "\n", "v = np.arange(0.0, 1.025, 0.025)/np.sqrt(mass)\n", "F_dets = [None]*3\n", "for ii, det in enumerate(dets):\n", " laserBeams = return_lasers(0., intensities[1], pol=pols[key])\n", " hamiltonian = return_hamiltonian(2, det)\n", "\n", " obe = pylcp.obe(laserBeams, magField, hamiltonian)\n", "\n", " obe.generate_force_profile(\n", " [np.zeros(v.shape), np.zeros(v.shape), np.zeros(v.shape)],\n", " [np.zeros(v.shape), np.zeros(v.shape), v],\n", " name='molasses', deltat_tmax=2*np.pi*100, deltat_v=4, itermax=1000,\n", " progress_bar=True\n", " )\n", " \n", " F_dets[ii] = obe.profile['molasses'].F[2]\n", "\n", "F_intensities = [None]*3\n", "for ii, s in enumerate(intensities):\n", " laserBeams = return_lasers(0., s, pol=pols[key])\n", " hamiltonian = return_hamiltonian(2, dets[-1])\n", "\n", " obe = pylcp.obe(laserBeams, magField, hamiltonian)\n", "\n", " obe.generate_force_profile(\n", " [np.zeros(v.shape), np.zeros(v.shape), np.zeros(v.shape)],\n", " [np.zeros(v.shape), np.zeros(v.shape), v],\n", " name='molasses', deltat_tmax=2*np.pi*100, deltat_v=4, itermax=1000,\n", " progress_bar=True\n", " )\n", "\n", " F_intensities[ii] = obe.profile['molasses'].F[2]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot it up:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(2, 1, figsize=(3.25, 1.5*2.75))\n", "for (F, det) in zip(F_dets, dets):\n", " ax[0].plot(v*np.sqrt(mass), -1e3*F/np.sqrt(mass), label='$\\delta = %f' % det)\n", "for (F, s) in zip(F_intensities, intensities):\n", " ax[1].plot(v*np.sqrt(mass), -1e3*F/np.sqrt(mass), label='$s = %f' % s)\n", "ax[1].set_xlabel('$v/\\sqrt{\\hbar\\Gamma/m}$')\n", "ax[0].set_ylabel('$f/\\sqrt{\\hbar m \\Gamma^3}$')\n", "ax[0].set_ylim((0, 6))\n", "ax[0].set_xlim((0, 1))\n", "ax[1].set_ylabel('$f/\\sqrt{\\hbar m \\Gamma^3}$')\n", "ax[1].set_ylim((0, 2))\n", "ax[1].set_xlim((0, 1))\n", "\n", "ax[0].xaxis.set_ticklabels('')\n", "\n", "fig.subplots_adjust(bottom=0.12, hspace=0.08)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Simulate many atoms and find the temperature:\n", "\n", "We start with just a single atom just to make sure everything is OK." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Completed in 30.95 s. \n" ] } ], "source": [ "tmax = 1e4\n", "det = -2.73\n", "s = 1.25\n", "key = '$\\\\sigma^+\\\\sigma^-$'\n", "\n", "laserBeams = return_lasers(0., s, pol=pols[key])\n", "hamiltonian = return_hamiltonian(2, det)\n", "\n", "obe = pylcp.obe(laserBeams, magField, hamiltonian,\n", " include_mag_forces=False)\n", " \n", "obe.set_initial_position(np.array([0., 0., 0.]))\n", "obe.set_initial_velocity(np.array([0., 0., 0.]))\n", "obe.set_initial_rho_equally()\n", "\n", "obe.evolve_motion(\n", " [0, tmax],\n", " t_eval=np.linspace(0, tmax, 501),\n", " random_recoil=True,\n", " progress_bar=True,\n", " max_scatter_probability=0.5,\n", " record_force=True,\n", " freeze_axis=[True, True, False]\n", ");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot up the test simulation:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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gtLX9DsDFAJYA2A5gFIB5UspjtsPdA+AsWCtp74W1GJj955o+OiUKUhZbZrWyk+JdKqUCt83NwYnqZnyzv6yPekZERNRz9vnKO4qqseTvm3D7+ztR12wMcK+IiHpPyAfLACClfEtKOVZKmSilXCKlPGF7fLWUMlVKucap7TIp5VQpZZyUcoGUco/TtiellMLDz78CcW4UPMy2O+xdFT+5eFIakqK0+GQHU7GJiKj/mZARizvm5eLbg6fxs79txI4izmMmotA0IIJlor5gT6tWdBEsa1VKvHvTVLxx/eS+6BYREZFfqZQK/HbRSLx701QYzBZc+8+tLPxFRCGJwTKRn1jsI8vdWEM5LzUGOrWyt7tERETUa+aPSMYXv5qFuHAN7vhgJ4qrmwPdJSIiv2KwTOQn9pFlZTffVYdPNeCy177H/tK6XuwVERFR70mPC8ebN0xBU6sJt763A02tXE2TiEIHg2UiP7HY07C7MbIMALHhapTUtKCkpqU3u0VERNSrxqbH4JnLxuHQqQbc/+kex/chEVF/pwp0B4hCRXcLfNkNitZh8+/P6nZ7IiKiYHXhhDQcOtWA19bl4+Ptxbhm+pBAd4mIqMcYLBP5SXcLfDljoExERKHi/oUjkBSpxSWT0gLdFSIiv2AaNpGfTMiIxX9um4GJGbHd3mfF/lM4+7l1OFbe2Is9IyIi6n1KhcDNs7OhUyuhN5qx60RNwPoipURZXQuaDZxDTUS+48gykZ/EhmswPSfBq32aDSbkVzTxy5yIiELKY8sO4vMfS7D6vnnIiA/v0+f+Ib8Kf/hiHworm6BTK3DrnBzcPi8XkVpe9hKRdziyTOQnlY2t2HysEnUtxm7vo7aVzjaaWQyFiIhCx51nDcXDF4zu80AZAGqbDWhqNeHXC4ZjalY8Xv7uGOY/uw6f7SyBlPy+JaLuY7BM5CfbCqtx7T+34vCphm7v0xYsW3qrW0RERH0uLTYM183IBAAcr2rCf7af6NXn21JQhbWHygEAi8akYO3983HPgmF4/xfT8e5NUxEfocb9n+7B75fuQ6vJ3Kt9IaLQwXwUIj+ZnBmHN2+YgmHJkd3eR6OyFvhisExERKHqxdVH8cWuUuwoqsHjF42BTq306/HNFomH/rsfCgHMG54EhUIgwinlev6IZMzMTcBjyw7iw60nUFDZiNevn4L4CI1f+0FEoYfBMpGfDIrW4ZzROq/24cgyERGFuqcuHYtwjRL/3noC+0rr8Mxl4zAuvfvFMD2pamxFXLgGSoXAP66bhPgIrccVKbQqJZ64eCxGpkThsWUHsfLAKVw9jctbEVHnmIZN5Cc1TQbsK6lDi6H76V32YNlg4hwqIiIKTVqVEn+5eCxeuHI8SmtbcNErm/H4VwdR02Tw+Zjbi6qx6KWNeHXdMQDA0OSobo0U3zAzC+vun89AmYi6hcEykZ+s/uk0Fv99E/Irur8MFEeWiYhooLh4YjrW3DcPi8ak4K1NhZjzzFo8u/IQiqubu30MKSX+9X0Rrn5jCwSAmbnerUIBwFF0rLCyCV/uLvV6fyIaOBgsE/mJxVZhU+khBcwdDYNlIiIaQJKjdXj12sn47I6ZGJ8Rg1fW5mPOM2txrNxaHLOu2YjS2ha3+7YYzPjNJ3vwyP8OYNKQOHx192xMzoz3uS9/WnYAD/93Pxr03V/FgogGFs5ZJvITe7zrTbCsUrLAFxERDTxTsuLx71tm4ODJeny19yS0KmvRr2dWHsJ/d5Vi7f3zkRzdVgekuLoZt7+/EwfL6vHzWVl48PxRjuwsX/354rHQG82I0ql7dBwiCl0Mlon8xGwbWVaI7gfL2YkRWPXrue0uCIiIiAaK0anRGJ0a7fj3DTOzkBEf7vheXLG/DCdr9XhpzVG0msx44crxuHhiul+eOy02zPHfRZVNyEqM8MtxiSh0MFgm8hOLxfs0bJ1aiWGDonqrS0RERP3KiJQojEixfi+2GMy475M9aDaYkZ0Ygb9fMxF5qTF+f85le07i7o934Y8XjMZNZ2T7/fhE1H8xWCbyE7M9WPZiZFlvNGP1T6cxYlAUg2YiIiInYRollt89B42tJowaHO3VzWhvnDN6EKZlxeOxZQcRG67228g1EfV/LPBF5Cf2Al8KL95Vja0m3PnhLqw8cKqXekVERNR/ZSVGYExaTK8FyoA1y+vNG6cgLzUa93+6F29vKnTcAHdHbzQ7thdWNuG9H4pwrLz7K2EQUf/BYJnIT8w+pGHHhKmx9JczcdnkjN7qFhEREXUhWqfG+7+YjvHpMfjTVwdx8aubsb2oGhaLRF2L0fEd/+HWExj9xxWOZSIPn2rAH788gIUvrMd9n+zGF7tKsL+0Dk2tpkCeDhH5CdOwifzEXuDLmzRstVLRo2UviIiIyD/iIzT49I5Z+GDLcfz128O4/B8/QKUQsEiJT++YhcmZcZiWHY8bZmZBZ6vePWdYIr66azb+sT4fX+0pw+c/tq3bnBipwaBoHc4ckYwrp2Y41ncmov6DwTKRnyRGapGXGg2NqvsJG1JKbDxaidRYHYYmc84yERFRICkVAjfOysLi8an4/McSFFU1Qa1UIDbcurzU0ORIPLokz9E+QqvCmLQY/P2aSWgxmLGvtA6FlY0oqGhCcU0ziiqb8fe1x5CdGMFgmagfYrBM5CdXTMnAFVO8T6e+8Z1tuHFmVrsvXyIiIgqc+AgNbpmT49U+YRolpmXHY1p2+4yxwsomZCVYA+VmgwnhGl5+E/UXnLNMFEBCCKiVChjMlkB3hWjAkNJz4R7qHUKIDCGEdPMzwqlNpBDiLSHESSHEESHEo0J4Ma+FKEhlJ0ZACIGCikac9df1+HpvWaC7RETdxFtbRH6ydGcJlu8rwyvXToJOrez2fhqlAkYTg2Wi3ma2SDy94hDiIzS4Y15uoLsz0GQDaASQAcD5bkUDANiC4lWw3sQ/19b+3wB0AH7fpz0l6iXxERpkJoQjJUYX6K4QUTcxWCbyk6qmVhwpb/B6P7VSwMiRZaI+sbu4FgkRmkB3YyDKAZAvpaz1sP18ADMAjJJSHgKwTwjxFwAPCiH+IqX0/sOVKMjEhmvw8W0zYE+YkFKCyRNEwY1p2ER+ctvcXGz87VlejSoD1orYRrP/0kJ3F3u6FiUa2DYdq8Ss3AS8fPXEQHdlIMoGcKyT7ZcDOGQLlO2+ARAJYG5vdoyoL9mD44+2ncD/ffgjp4UQBTkGy0QB5s85y5uOVuLqN7agsrHVL8cjCiXrD1fgxdVHoeBITiDkADhPCFEuhNgjhHhICKF22p4JoMBlnxO23+ldHVwIccDdDwDm21NQOlWnx/J9p/DWpsJAd4WIOsFgmchPPv+xBL/+z26v7xL7Iw27pKYZd320CwfL6vCzsYNhtvBONZEr+/vsT18dDHBPBqTHAUwEsATAZwAeALDUaXsKANe0mEbb77he7x1RH7v77GGYnh2Pp1ccwvai6kB3h4g8YLBM5Cd7imvx5e5Sr+cfWdOwexYs1zQZsWzPSSRGavHcFeMxKJrFQ4hc2d9n3x44FeCehA4hxJUeqlw7/8yTUh6x/WyRUj4O4LcAFgshZtoOVQkg2uXwMbbfXf4Pk1LmufsBkO+3kyXyI6VC4OWrJyI+QoNffrATpbUtge4SEbnBYJnIT0wWCaXC+/ROf8xZtqdxq5XWt/TJ2hZUMRWbqB37+8TgxxoBA52U8j9SStHFz3o3u26w/R5s+10CIMulTabTNqKQkxytw+vXT0G93oTb3tuBFoM50F0iIhcMlon8xCKlT3Mhp2bFYWxaTNcNO2F0CpZPVDVj1lPf4ePtxT06JlGosd+UYvX5oDDF9nu37feXAMYIIXKc2lwAoALAxr7sGFFfmpARiycvHosDJ+tx/2d7YOE0KqKgwmCZyE/MPo4sP3bhGDx8wegePXdbsCyQER+GnKQIfLO/rEfHJAo19vXMGSz3LSFEohDi/wkhxgkh0oQQ1wN4DsDLUkp7Ua/PABwG8J4QYowQYgmsqdrPSimZJkMh7dLJ6bhtbg6+3luGx78+yArZREGEwTKRn5gtgDJAVXadR5aFEFiUl4L9pfUoqWkOSH+IgpH9fcJguc/FAzgbwEoARwD8GtYCX/faG0gpjQDmASgHsB7AnwH8QUr5bJ/3ligAfr9oJC6emIZ3Nhfhy90nA90dIrJRBboDRKHCIiUUPows//mrgyipacE/rp/s83Pb00vtc5bPzUvBq+vysfLAafxidrbPxyUKJQZHsCwhpfS6GB/5Rkp5BMCibrQ7DeCS3u8RUfBRKASeuWwcRqRE4byxKYHuDhHZcGSZyE98TcP2B/tImUZlff5x6TEYHKPDSlb9pW6oaTIEugt9wmBqG1HuaVE9IiJ/UysVuGNeLrQqJfRGM1bs53c4UaAxWCbyE7OPBb4eumB0j0aVgfZp2AAghMC5eSnYXlSNSlbFpk58vbcM8/+6DvkVjV037ucum5yOuHA1AKZiE1Fwe/m7o7jjg53YV1IX6K4QDWgMlon8xGKRUAboHWU0WUfJVIq2DiwakwIprcEQkSdvbCxAhEaJ5CgtAIR0YZnLp2TgxllZABgsE1Fwu/PMYXjpqgkYm96z1TKIqGcYLBP5yY2zsvDI4jyv93trUyFufW9Hj557ek48XrxyAtLiwhyPTcuKR0Z8GD7eXhzSARD57kRVM/YU1+KSSemoajTggpc34psQTvszWyQWjUnBS1dNgE6tDHR3iIg8CtMoceGENABAaW0Ldh6vDnCPiAYmFviibtEbze0uLssb9EiO0gWwR8FnRk6CT/sdK2/EhiMVPXruzIQIZCZEtHtMoRC4Zlomnl5xCN/nV+GMoYk9eg4KPeUNegDAiJQopMRY38+mEF7j85wX1iM9Lhzv3Twt0F0hIuoWKSVufmc7GltNWH3fPIRpeKOPqC9xZJk6JaXE/Z/uwUfbTjge0xvNuOr1LVi25ySklHh13THUNRsD2MvgcLpej5O1LV7vp1GKHqeEVjcZUFDRCJPLca6dMQQPnDcS45jGRW44V1HXqZX46q45WDI+NcC96j2XTkrHGbkJyK9oRKvJHOjuEBF1SQiB3ywcjtLaFry2Pj/Q3SEacBgsU6dKa1tw8GR9u8fyKxoxNj0GWpUCP5U14JkVh/G3744GqIfB4/99thfX/XOr1/uplQpYpDVF1FcfbTuBs55bjxqXmxbROjVun5eLKJ26R8en0ORaRR2w3iCrDtHq2P935lBEaFU4+7n1KK72/sYWEVEgnDN6EGYPTcSbGwpQXq8PdHeIBhQGy9Sp9LhwLL9nDi6emIZnVx7C9qJq5KXG4KWrJmJhXgpGp0ZjwahB+GDLcVQ0DOyqy9dNH4I7zxrq9X5qlfVt2JPR5XnDk/D4hXmI0rmfWVFY2YTFL29CFStjkxOTxfqacy4M94t/7cD1b3l/06e/mJYdj8cvzENipCbQXSEi6hYhBH5/3ki0GM0cnCDqYwyWqVuaDWa8sjYfu07UdNh299lD0Wqy4J+bCgLQs75VWtsCi4cR2oV5KbhkUrrXx7Qv92ToQbA8Ji0G18/M8li0aEdRNaqaWtGgN/n8HBR6DKa2NGy78emxOHCyHkdPNwSqW71m+hOr8d4PRbh+ZhZiwxksE1H/MSYtBkvGp+KjbcXYW1Ib6O4QDRgDIlgWQiwWQmwRQtQIIVYJITyWLBZCzBBCrBdC1AohNgoh5rlp84AQ4ichxCkhxPtCiJCdELrwhfV4dd0xx8W00SyxdGcJ5j+7FsXVzQCAcemxmDs8CR/8cBy1zaGZvmn3i3e3Y/xj3zrO3VldixH1eu/nbmuU1hRYo8n3YLlBb0RlY6vHqteXT8nA1j8sQFZihNvtNDDZR5bVyrY07AlDYgEAJT7Mvw92dS1GtBgsqGxs5ZxlIup3Hjx/FCK1Kvz6P7uhN/IzjKgvhHywLIQ4H8DnAN4HMANAJYANQogOVWyEEJMAfAdgA4CpAHYAWCGEmOjU5ikA9wO4C8AFAMYDWNHLpxEQZovEkdONqG40QKNsSxWuaTagqKp9sHjXWUPRZDDjnc1FAehp35BS4oJxg9HQasLH20902H7zu9tx7Zu+zVkG2oot+eL5VUcw5c+rfd6fBia1Ut4VZFkAACAASURBVIGUaF27jAS1H27eBCujWWLzsUpM+fNq/HicIzNE1L8MitbhzxeNQX5FE55ecSjQ3SEaEEI+WAbwKIClUspXpJSHAdwE63nf5qbtHwDslVI+LKU8CuA+AIUA7gEAIUQSgLsBPCilXC2l3GE7zgwhxPxeP5M+Zp9Dq1IqoLYVADKaLY6lZTSqtpfP1Kx4TM+Ox1ubCnE6RItPCCFw29xcAO4DW7NFQiE6PNwltbLnc5aNZgvUSgEh3Hdgf2kdfr90Lworm3x+Dgo95+alYMsfzsaYtLbkGI0fbt4EI7NFwmyRCNdabwx4er95mmZBRBQMFo9PxZLxqXhncxH2FPOmH1FvC+lgWQiRDWAKgC/sj0kp9QDWATjfpa0awEUubSWAlU5tLwAQ5twGwFYA1a7HCwWOSrlK0W700z7i5DzPEQAevmA0mg0m3PfJbhhCcFSq2WBCiy3tyd35mSyWDn+T7rAX+OrJnGWjSbYr0uSqtLYFH28vxqm60LyRQf7jj5s3wch+PhEaVbt/O3tl7TE88Pk+j9MZiIiCwcMXjMZtc3OQFhcW6K4QhTwRyhcFttHetQCmSSm3Oz3+EoArpJSDnR7LgnUU+Qop5adOj/8awPOwBsm/B/D/pJTtJn4KIfYAOCilvLqL/hzwsCl39OjR2gMHPG3unjve34HVP5U7PV/b+qlD4sMBACU1zWg2dJznkpsUCaVCoKbZ4KhqLaVEi9E6YpkRF4aCymbEhavRoDfBZJEIUyscI5nROjVSYnQor9fjZJ0eCoF2qZ1KhUBuUiQA63rEdS0d5/YOiQ+HTq1Eo96Ek3Ud50smRmoRH6GBRUocK2/ssD1MrUSG7TyLq5sdga2zocmRUAiB6iYDKt1Uhk6NCUOkTgW90YwTLvOSDaa2UfWECA0MZku75ZhajGYohMBY2yjdqTq92znMmQnh0KqUaNAbUVanh0VKSAkohHX0OilKi7hwDcwWifyKjucZrlEiPc56nieqm6E3mtFqsvYlXGP9mw8fFAUAqGpsRVWTAWaLRKvJAq1KAaVCIC02DBFaFVoMZhTXdJx/HRuuRnKUDgBwrLwRFpfPCY1S4Zj/XFbX4rZwWHZiBNRKBepajG6zDZKjtIgN18BktqDAzYh3pFaF1FjrhcDxqia0utygEAIYlmw9z4qGVtS4mS+fHheGcI0KzQYTSmo6vqbiwjVIitICAI6WN8D141CrUiAzwXqeJ2tb0Nja8TxzEiOgUipQ22xAuZuK8IOidYgJU8Notrgd2Y/SqTA4xnqeRZVNHW6aKITA0GTre6e8QY9aN2uaZ8SFI0yjRFOrCaVu5honRGiQEGk9zyNOhbvMFgmTRSJKp0KW7TyLKhtR22KCRimgcrr54+4zwtngGB2idGq0msw4XtXxNWX/jACs1dldg9Xe/oywf55FalVobDUhUqtq97qWUsJglghTK5GTFIHaZqNXnxEXjBuMZy4b36G9N/Ly8nDw4MGDUkqPdTXIO0KIA6NHjx7d0+9XIiLqn3r63RrSI8sAUmy/XfNUGgHEedEWAGJtbdzlvLg7Xp9rMZphsl38miwSRrPs0QiJ855CCAiXx9xJitIiXKP0aYS1v1AID38HCfiQhQ2FEFAqPKdQ+1Po3hojX1ikNTVZtn+zB6w/vrLecOreq7ttqkT79kIIaFUKJEVpQjIzhohCz9HTDXh5DZeSIupN7hdlDR2Vtt/RLo/HADjlRVuLbXulm+32Nl1+Wnm6o2EbcR7d1f5d+dfN0x3//fyqI/jbmqPY+uACROvUPh2vpKYZs59ei98tGolb5uQg748rcO7oFETqVHhrUyH2P7YISl8m6fZTD/13Hz7eVowonQpzhiXipasmtts+55nvMGJQFP5541SvjlvbbEB+RROGD4pElI//r+54fyf2lNTihwfOdrt9a0EVrnxjC166cgLOGzvYbRsiwDq6Pf+v6/Dg+aNx46ysQHenU3uKa/H0ikP4Pr8Kj180BtfPyPTY9nS9HtOfWIO5w5Pw1d4yPLZkDC6dbF3qrbHVBIPJgvgIDYY9uBxXTs3Any8a260+nKrT48NtJ3DP2cP8ck5ERN31vz0n8Y/1+VgyIdWRBUVE/hW6w39WJbbfWS6PZzptsyuFdajBXdsyKaXJtk+kECLBvlEIoQSQ7uZ4AeWP5YjsBX7so8RqlcJa4MtsgULAY6BcUtOMbYXVIVcox2SWUCsVUCsVbuc7msydzxv2ZEtBFS597XscPFnvc9+sBb48P7c/5kXTwKBRKRAbrg76G2FvbijAJa99j32ldbh1TjbOyE3otL19tNjdnOUvfizBtL+sxqFT9VArFd0aWW42mPD8qiOY9+xavPzdUew83nENeiKi3nTr3BysvX8+A2WiXhTqwfJh28+F9geEEBEA5gNY6txQStkCYJVLWwWA85zafg3A7NwGwGxYR5Y/93vve8AeOPUkODKZ2xfyuvPMoThv7GAYbEGjJx9sOYErXv8h5AIzg9kClVJAo1LAYOp4I8BotjiCUm+Mz4jFy1dPRK5tXmpP+uZJqFY4pp757tBp/OXrg+3WHE6NDcPuPy7EdZ2M0gba+1uO4y/Lf8L07Hisvm8e7lkwHE2tZtS5mc9tZw+OHdWwnW7mfbW3DAmRGgxPjrLdDOv8fbK7uBYLnluPv605imnZ8Vh+9xxMy473w5kREXVftE7tqGFiCrFrLqJgEdLBsq2a9RMArhVC3CqEGAHgHQB1AN4RQiwUQlQJIRbZdnkawCwhxMNCiKEAXgKQCOBl2/GKAfwLwFNCiPlCiCkAXgOwXEr5Y9+eXefsyzoZ3QR13WVwLB1lDcJumZODc0YPgtFscQRf7lw4IRWvXTsJqiAfmfKWySyhUSqgUSrc3ggwmCyONWq9MTgmDIvHpyLRVoDJF139P3G8HvhlSk62FlbjzY2FHQqbBbNj5Q14fNlBTM6Mw9s/n4pB0TocKK3D4r9vwg8FlR73y0qIwP7HzsW10603AZyzbkpqWjA2LQYKhe1mWCfvk3WHy3HVG9abgW/eMAXv3TwNowa7m51DRNQ3nlj+E655cysr+RP1glCfswwp5Xu2ZaHuBfAkgO8BzJJS1gohLABaARhtbb8TQlwM4I+wrrG8E8A8KeUxp0PeDmuw/R6sadtf29oGFX+MLOcmReLbX8/FIFtVZJPZArOUeOC8kbjrrKEe9xs1OLrLi8fi6mY0GUwYmdJ/LjKNttHbCUNiER+u6bA9Sqf2aX643mhGSU0zkqN1Ps8vj9SqoeikMFNXywFZbEXhND6MjFP/ZXKZagEArSYznvj6J5wxNBEL81I87Rowj3/1E4QAXrxygqPifm5yJJ6/Yny79aKd7S+tQ3pcGGLDNYjSqZAQoWl3Y8totjhe+xqlwuP0FSkl3v2+CCnROrz/i+mO6vtERIEUG67GtqJqrDtcgTNHJge6O0QhJeSDZQCQUr4F4C03j68GkOry2DIAyzo5lgnW4DjoAmRnWQkROG9MCsI0yq4be6BTKx1LEAHAuS9uQGpsGN7/xXTHMjTu1DYbcKpej5zESLfBl8FkwfVvbQUArL5vXrvlaYKZ0ZZ+/vwVE9xu3/z7s3w67oGTdbj0tR/w8tUTsXh8atc7uPHPG6d0ut0eGLibi9nYasLZz61DRlw4PvvlLJ+en/ono5v6A1IC7205jgitKuiC5V0narD+SAV+NT+3XaCaGKnFJZPS3e5Trzfiln/tQF5qNN6yjUTvfPicdm1MlrZ6A2ql8HhTSQiBN66fgsrGVseyZkREgXbjzCy8tbEQz686gvkjkvpkdQ2igaJ/RCnktdnDEvHadZOR1oMLuoqGVny9twzltjVyr5o6BD8bOxibj1Xi2wOuxcTbLP2xFIte3Oh2bV3AmhL8yrWTcNnkdGw86jltMth0VUTLV/Zjmiy9lyIdH6HBExePxexhie0el1Lid0v34nR9K3awQNGAYzTLDjertCoFCp88H79dNDJAvfLs7c1F0KoUuHl2drvHjWYLjlc1uV2bOUqrwp8uzMNtc3PaPV7bbMA9H+9CY6sJRlPbe1vtYZpFbbPBMQLNQJmIgkmEVoVfzs/FvtI6fHvwdKC7QxRSGCyTRwfL6vF/H/6IA7YqzbfOzcHV04bgjQ0FePKbQx7303RSebm0tgUAkJcag03HKvH0Cs/HCTY6tQLRYWr85euDuP/TPe22Gc0WPPTffVjlw5eUI0W6B/PLn//2MN7dXOhxe7hGhWumD+mQ9l7fYkJRZRMAIDGyY2o5hTZ3c92DeUTi57My8acL8zrM7y+pacG8Z9fhv7tKO+wjhMDCvBRMz2lfLfuznSXYcKQCG45UwGC2QKOynrdaqXD7Xvzz1z/h7OfWtyuGRkQULK6dnomkKC3+uvIwi30R+RGD5RD1Q34VFr6wHj+e8H20cEJGLD67YyYmDolt9/hjS/Lw2nWTPO7nWLbK5cN6T3Et5j6zFl/utl7QKhUC5n60vNTr10/Bl/93BhpbzWjQtx/BMpgs+HhbMXYXe//39sf88i0F1dh0zPMovZQSp+v1HaoFx4SrsezO2Vg8PhWtPVhmjPonk4cq6i+vOYpv9pUFoEedm5wZjyunDunwuKcCdh9sOY73fihyu4zdLXNy8PFtM/HXbw+j1Wlk2VOBr1m5Cbh0Ujq0Kt+nthAR9ZYwjRK/OWc4jpY34t9bTwS6O0QhY0DMWR6ItGoFkqK0UPuw7q9dTJgaU7LalkP5+TvbUNVowLK7Zne6n6eR0tc35EOlEJiVa00FVggBcz+s3PjkJWM7PBahVeHYEz/zqRKlpoviW93xn9tnuE1BtTOaJaY/sQa3z83BAz8bBQCobGxFTJgaaqUCERolK2WHuD3FtXhjQwHuWzgcuUnWZcqMHpaBe2NjAc4ZPQjnjR3c19306PMfSzAjJ8FtCrRjTr7Ta1hKiX+sz0dCpBY3zMxye0yzRaKgwppZYZ+zPCEj1u1NPE9zoomIgsXlUzLwwdbjeH7VESwZn4q4CGaMEfUUR5ZD1KQhcfj3LTMwNt19ddjuOF2vx4YjFai3jaKaLRLNBhO2FFRh5/Fqj/u1jZS2pSuWN+ixYv8pXDIpDUlR1hRKpUK4HfEJVq+ty+801RnwLYVVrXI/Eu8NIQRi3VTodjyHUuB3i0Zi/oi2KplPLLemlZps8zC5BnNoK6pqwvojFY4K0oBtHr6bJd40SoWjUnYwOF2vx32f7MHbm9y//+w3nJwL2O0tqUNJTQsWj/Mc8NtTrwEgMcr6/nl0SR4ev2hMu3aHTzVAb2T6NREFN6VC4JHFeahrMeL5VUcC3R2ikMBgmTzafKwSN7y9DccrmwHYllQxS/z564N4+pvDHvdzBMtOI8vL9pTBIoHLJmc4HlMp+tfI8pe7S7HywGm8vakQ9368q922uhYjnl15qNObCJ60Levk29/iP9tP4L5PdnfaRgiBX87Pxczctnmb84Yn4dJJ6VApFVArFTBbZL9KiyfvnD92MN64fnK7G1RGswVqNxXr1UpFUGUaJEVq8dVds3HjrCy3290tjbbmJ2v9gEVjPFf01iitNw4eWTwav5rvfjk8s0Xi6je34O6PdrndTkQUTKZmxWPJ+FT8d1dph6lXROQ9Bssh6lh5Iy577XusO1zu8zHsF572OY32C2ijSTpGQ93Rupk/uHxfGdLjwjDJaf6zQgiYg2j0qisr7p2Lf98yHQfL6rHmp/Z/19pmA15Zm4+9JXVeH1ftZlTMG7uLa/HNPs/Vye30RjNaDG2jYxdOSMM9C4Y5+qBSeF4yh/o/vcmCa/65Ff/ZXux47MqpQ/Cr+bkd2qpVwfVaUCgExqTFeFzXuG3OctvnycZjlchNikB6nOe1kN1ldfx15WHc+t4Ox79/KqtHdZMBZwxN7LA/EVEweuj8Ufj2vrmICVcHuitE/R6D5RDVajJjx/EalDe0+nwM+4WnY0kVlS1Y7mIJJddRnpomA3adqMGCUYPapSkr+9nIMmC9aFcrFWh1CSRc/1beUHsoiNZdBpN0W6TJ1Ywn1+DBL/YBAPIrGtullf5u0Qgce+Jn7VJ0KbT8adkBAO1fZ4vGpLgtmKVWKGAIkhtZRrMFf//uKAoqGj22USnaryNe12LEnuJazBmW1Omx7e/XJ5YfwneHrCPRRoul3d9oa6E1W2R6TnzHAxARBaHkaB0Gx1jrOzQbTAHuDVH/xgJfIcofRaPs+6odI8sCBpMFBrPFUQzHHdfgb8PRClgkcNbI5HbtFAqBIBq86tLr6/ORFhcGre2mgZTSEfzbz9V1GZ7uUCsVyEmKQKyPd4DdLf/j6XnsBZBu/dcOJEZp8cntMwEE93JB5B/rDlcAQLuq542tJiiFQJim/U0S6/JJwfHm3Hm8Bn/99giSo3XIsRUmcyWEgMbp9b2nuBYWCUzP7jzA1TiloBdXW5e1e+C8Ue3abC+sRkyYGsOTo3pyGkREfe6J5T9hzU+nsfLeuVD5cH1CRAyWQ5YjLbEHF7xtwbJtZFlhnbNsdFqT1J1InQrDkiMdo5TbCquhVgpMzWp/4aoUApZ+NLL85sYCzMxNREq0FlICJovscGOgs/R0T9RKBb77zXyf+9XVSL+dxpZGX1zdjILKJiwen+rYtvN4Nb47VI7b5uYiJoxpW6HIZJur7Fwx+po3t0ClEPj8V2e0a6tWCZgswREsr7VNJZk/vPNRYo2qLcDfdaIWADBxSFzn+9jeN3fMy3U7H1pKie1F1ZiaFQ+Fm0JoRETBbGRKFJpaTWgxmhHFYJnIJwyWQ1RPi0Y579uWhi1sadjul5uxy0uNwar75jn+vb2oGmPSYjqMXk3JikOEtv+k/RpM1srBzmnmrinnnY249xZrkaauL+TtmQEbj1rXY547vG0O5t6SOryyNh9XThnCYDlE2V+jzjfQrpiSAaWbINCahRAcN7LWHarAmLRoJEfrOm2XlRjuyM7YVVyDwTE6pMR0vo+7wmAfbDmOtYfK8dbPpyK/oglVTQZMy+486CYiCkaXTErnsndEPcRgOUS1Ld/kzzRsBUwWaQ0au3mHUkqJK6ZkuF3WyNPap8HKOpKscBq1l4DttOyVv32ZswwA93+6B+PSY3z6mxjNslvraatt1cz3FNdCo1JgfHpbsbVrpg/BFVMyEMY5yyHL/n52/ky4bkam27ZqpQKN+sDPcztZ24LDpxtw55nuK1U7++quOQCsnzm7i2sxy6nyuyf2GwVvbSrE4vGpmJARi/yKRqw5VA4pJbbZ5itPy+76WEREwepEVTPqWow9Wk6UaKBisByiXNcddZ5f210ml5Fl+zGbDaZOg8LyBj0e+fIALp+SjrNGDsItc3K87n8wMpotUCnbRpZbzWYA1pEse8pqZ+npndl1ogaRWt/ejt1Nw7bPWW41mRGhUbabv6RVKeHj01M/YX8/O4+ievpcuGpqhs/V2f3JPs/6zJGdp2A7E0JgxT1z0dLNdZH/evl43P/pHhRVNmFCRqxTvQeJbYVVCFMrkZca7X3niYiCgNkiceUbPyAhUoNld85mjRIiL3ECQ4hyXhJFbzQj+4Hl+OfGAq+O4bp01H0Lh+PQ44usx++k+rLJLPHjiRpUNLSirK7F40X386uO4NwXNnjVp0CRUjrSz7Vulqlxnd/trTW/mY9Hl+T5tG+307Ad1cxlh0If+RWNeGNDPk7X633qAwU3KWXbnGWn9+Psp9filx/s7ND+kknpuGpaxyrZfW3t4XLEhKkxIaPrNOgnl/+EV9YeAwCkxOiQnRjRrefITLAuLeWYbuKUlbOloBpTsuJ8fl8TEQWaUiFw46ws7C+tx87jNYHuDlG/wyuAEOVcDfuHgioAwD/W53t1jCEJ4ThjaIIjxdc6+qjAWSMHYWSK55GW1NgwbP3DAlw5dQju/HAXLnpls9t2CREaj+umBht7oKF2Gll2Djp6mobdEwaz7NZcaY1tzrK76tmHyhrwxPJDKK5u7q1uUgA539hxroZtMFugcDPKYLFNtwgkvdGMTUcrMXd4ktt51a52HK/BvpI6fLOvDMv3lXX7eextnaebAEBTqwnnjxuMJU6F8IiI+qNLJ6VDqRBY+mNJoLtC1O8w8TJEKRUCQlgvktfbUhkvnexdkYdrp2fi2ultcxp3F9di09EKPHnJWCRFabt1jGumDfFY8frGWVluK9AGI+eU9DNHJGPw9bp2f4OhyZG4f+Fwn4P/5789jJhwDX4xO9vrfX9zznB0pxSTdc6y0Za23T74sM/D7skcdwpezqnXwwdZl0DSG82objIgPqJjPYG7PtqFbUXV2P7ggj7ro6tNRyvRYjRj4ehB3Wq/9JezAABL/r4JZovEz8YO7tZ+72wuAuA03cT2XhAAHr5gtHedJiIKQklRWswfnoSv9pThkcV5jtVKiKhrDJZDlBACn9w+E4OidLj+7a2YnBnXYf1Qb9W1GPHi6qMYlx6LpCjPcwhbTWY88uUBzB2e5HWAHqwMjpR0BYYkhGNIQvugeGhyJO48a5jPx/9m/ykMitb5FCzP7WJJHbsIrQp1LUa3adhtS2AFRwVk8i/7zZ57FwzDvQuGAwAOltXDbJFuC74sGJ2MYYPcr2ncV1YdPA21UmD+iO7PVwaAf98yHeUNrd1u/+sFw/HC6iNOadjW90JVk6HLCtxERP3FpZPTseZQOb49eJoZM0ReYBp2CJuaFQ+TxYLjVc0408sLTgB4afVR3PD2Nse/5w1PwprfzOsyOBMQ+Hh7Mb7cXYoGvdFju3c2F2LJ3zfB1A9GM+191CgF6vVG7C+tQ1Orqd12k9kC6eO60fbiW74oqmzq1lzjN2+Ygq/vnoOhyZEYm9Y+QHItCEehRadR4JVrJrUbbd1XUgcAGOcmWL54YrojqA6UP5w/Cv+6aRqidN1byuzdzYV4ec1RROnUyE3qfqA/IsXa1h4k20eWz3tpI+75eJeXvSYiCk5nj0pGTJgaS3cyFZvIGwyWQ9i2wmq8/J214M3yfaccxW+cNRtMqGtxH9CapYTZ0j54ykzoumiO/aJz5YHTOP9vmzy2O1Wnx96SOph9DDBd5Vc0otXUvQq43tKplbjvnOGYlp2A749V4oKXN2F/aZ1j+8fbizH0wW+QX9Ho0/Htxbd8cd1bW/HgF/u73f7RJXl44coJHZ4fgM99oOCmVSlx/rjB+HRHMX7zyR4A1rW1w9RKDPUQWH65uxTvbi7sy262ExOmxqyhiV03tFlzqBzPrTqCD7Yc9+qmz5YC6/JQ9veAfYR5yfhUnDki2YseExEFL61KicXjB2Pj0QqUs5gnUbcxWA5hd330I77YVYrMhHBEaJU4WdvSoc0ZT32H8Y9963b/+84Zjn/fMsPr53VelmBGTrzHdgpb0R6LH+KzI6cbcPZz6/Hct0d6fjA3IrQq3H32MEzLjsfY9Fj89fLxyE5qu3EwanAUbp2TjTg360l3h0YpfA5Uf7NwOK6d0XXl4v/tOYlnVx7y8PwMlkNZq8mMw6cacLJO78j22Fdai7zU6A4p+XZPf3MIm45V9WU3Hf67qxTL9pz0ah97kPv0ikNQdaMgmN273xdZ91e0D5Zvm5uDiyamedUHIqJgdsmkdFik9XqAiLqHc5ZD2O1zc/Gnrw5i8bhU3H/uiA7b9UYzapo9p0n7w5xhnlO27Re0/hhZthcx+6msvsfHckdKCYu0Fk5Liw3DZS5zsSdnxmNypucbA11RKRQwmkxdN3Tj4ondmxe+8UgFvtl/CpUNBsSEq/GHn7XNYXesHc007JBUXN2Cc1/cgMcvGoPrZ2SiqdWEY+WNnRbY06mVAbt58vqGAmhVCiz2Yl6dPaNlQkas40acN+zLr50xNAHv/Hxqh7oERET93cSMWGQmhOOrvWW4ZU5OoLtD1C8wWA5hN87KQkKkBtOzE9xuty8p5c7+0jr89rO9eOzCPEzN8j0IXJjnuZKtfckasx+KSu0urgUAjBrseUmrnjhyuhHnvrgBT14yFpdMSkN5fSviIjSI1FrfQo2tJkRolO1G1b3RkzTs8gY9wjUqR188eeKSsXjq0nG4w826uhqndbkp9CRFavHkJWMxJdO6XvHBsnpYpPv5ynaaHrwme+qLX81CeX33i3QBwNFy6xSI2V6kbgNAcpQW5Q2tSLEV8xocE4bBMWFeHYOIqD8QQuDlqyciI443A4m6i2nYIUypELhwQhpSYnR4cfURPP/t4Xbb1x0qBwD8bGxKh323FFThYFk9YsK6V1zH1e3zcvDc5eOhVXlenkDpx5Fle7DcW2LD1fjF7GyMTInCgZP1mPPMWnxn+/sBwP/7dA/OeWGDzwW+NErhc4Gvuc+sxV++PthlO7VSAaVC4M0bpuDpy8a5PL/1/5ORI8shKSZcjaunDcGmY5W4+6NdqG02IjlKi7FpsR73USsVASv4plMrvR7ZLau1zsHr7pJRdnmp0chKCEesj1MoiIj6k3HpsYhzs2QgEbnHYHmA2HS0EmttqcqANa147eEKTM6Mw6vXTu7QfktBFRIiNBiW7NvyMQ+cN6rLZaMcwbKlZ8Hy6Xo9Sm3zsaO6GF311aBoHR6+YDQmDolrm99rCyQsFokfCqqQnRjh+8iyUuFY3sdbRrOEStH1W/n7Y5V4cfURt9XHY8LUuGV2Nkaneh5ppP6r1WTGqTo9dhfXYvVPp3HO6EHY+oezkZvkuWBfoEaWP9tZgtfW5Xu937s3TcXvFo30eq1zo1nidH0rLD38HCIi6i+2FVbjkS/3+3yDn2ggYRr2AKFWKtCgb5sTW1TVjBPVzbjcTUBrtkhsLazG3GFJPgd/3WFPw7b08MP6WHkjNCoF3r5xKmYP8y4Fs7sa9EZEalUQQjiWlrGPBB8sq0dtsxFn5LpPd+8OtdK3wMRikTBbpGPOcWc2HavEq+vycbS8EZOHxOFmpzWdY8LVeOiC0V4/P/UPDYncvQAAIABJREFUe4rrcMXrPyAhQuN4nXX13lYrBZpa+z5Y/mZfGY6WN+KX83O92m96TgKm53j/Htx0rBIAUN1sQGKk1uv9iYj6m70ltfjPjmLcdEY2shK7XuWEaCDjyPIAoVG1X8d301HrKPOhUw2Y9+zadumWB0/Wo0FvwvROKln7g8pPI8tnDE3EvkcX9mp/7/90D85+fj2AtmJY9qDj+3zrxbY3y9y4umpqBh48f1TXDV0YbaXE7cWJOmPv9/J9ZdjntOwVhT77azVcq4TRLHHpa99jw5GKTvfRqAJT4MtokY5iXX0hI946P7mrOf9ERKHiqmlDsOOhcxgoE3UDrw4GCI2q/fzDiyamYVC0DjXNBrQYze1Gd7fYCn/N9GGUxhsKPwXLgHX9wEe+3I/sxAj8/Izsrnfw0u7iWoy2FQ9zjCyb7MFyFRIjtT6nrAO+B9pGW+q2uhtp2PZ+S4kOS+vojWaMfHgFAGDt/fORzS/QkGIPeiM01o/8ioaui2f1ZB59TxhNlm5lSvjLrJxELGs8CZ3ac30FIqJQwpuDRN3Hd8sAoVG2H1mO0qmxMM9a2OvKqe3X6N1SUIXESA2G9iD4647F4wdjcmYckqJ8T32sbjLggc/34hezc/BDQRWaDWY/9tDqVJ0ep+tbcfU0azEk+6iXwWyBxSKxs6gGc0f0LGW9QW9Eg96E1FjvqvDa5013J7jQOLVRq9q3VysVSIsNQ2ltC/LLGxkshxj7TZVwjTUg/Pru2YjSdV68T61UwGjq+/lsRnPfBssKBdBiNENK2avTToiIgklxdTMe/d8BXD8zE/NHJAe6O0RBi2nYA4RzsZ5j5Y34dEcx6vUd11g2WyS2FVZjek5Cr184JkfpMCEjtkcjOkVVTdhaWI0GvRHf/noenr18vB97aLWnxFppe3yGNVjW2ipHG0wWnKhuRkOrCeM7WYKnO15cfRSznvrO61F279Kw29poXIIRpULghSsnAEBARhOpd9mLukXYRhOM3Sgmd25eCq6bMaTLdv7W12nYBpMEa9wQ0UATG67G5vxKLP2xNNBdIQpqHFkeIDROy8As31eG51cdwYycBGw4UoHX1xfgzRumICVGhwMn69DQasKMXk7BBoCTtS04dKoe07ITfE4JmjQkDj8+dE6Pi4R1Zq89WE63jSw7rUlsn/s7podVpM8elexY59Ub9qDHNfh1x3k02TUNG+iYXk6hw34DxJ55sXxfGa6bkdnpPhdNTOv1frljNFmg0/XdV9Ozl43DU5eO5agyEQ0oUTo1Fo5OwcoDp1DXYvR5qVCiUMeR5QHCec7yHfNysfSXM5ERH46aZiP2ldahyWCtlF1Y2QSNSoGZvVzcCwA2HKnAze/uQGlNS4+Oo1AIqJQKvL4+H29uKPBT79rsKa5DRnwY4m3rEtpTRA0mC/aftAbLeT0MlmflJuLWuTmO5bS6y56G7S74daXuJA3but2WXs5gOeTYlyUz2TIXYsOD96Ko79OwRZ8+HxFRsLhiSgZaTRYs23My0F0hClq8Qhgg1EoFTBYJi0VCo1JgcqY1GNYo20ZJAeDCCWnY+8hC5Cb17nxlAJg3Ignv3TwNaXHezdO1q24y4IrXf8Bm29Ivy/efwtf7yvzZRVgsEntLajHONqoMWAPTjPgwROnUiNCoMC07HjE9DD6MZgsaW01er/UqASRFaR3ptZ1pN2fZTXCttQXQrUzDDjn29/fvF43EM5eNw/ljB3e5zxPLf8Lwh77p83U4rcHy/2fvvuOrrs4Hjn+eu7JJCIGEhEDC3nuLA0QZ7j2qVeuqbdUOrVWrdWtrp6u2al3tr+6JWhQHyJAZCLJXyAJC9k7uOL8/7iDjJrlJ7sg479crL+B+z/1+T8hNcp/vec7z6FVeTdO0QJs7rB8pcRG8vSkn1FPRtC5Lp2H3EudPSWZSaizbckvZkl3KxVMHERtp9pp6G6yqsANjIxgY27FAGZwr0xsOFXtSsMOMBirrbG08q32yiqoor7UxuUGwLCJ8++sFnn/fdvqITl/npdWHeOKz3ay/53QS25GOnZ4QxcZ7F/o0ttHKspeVNItrL7ZVryz3OFbXTZgBfcKY42M/8ImDYrlk2iAcCoIZu1rtvvUN1zRN0zrHYBAumjaIp77cx+6j5YxO6hPqKWlal+P3dyQiYhKR2SJyiYj8TER+LSLXishSEQnNJjiNiYPiOG9yCp9uP8Ijn+z0BJgNU4p3Hy3nx69vZvfR8qDMqbiqnk1ZxR0OcL/eU0CE2cjMdNcqeZNe0v6QmetMs57YyQJebXF/HfYeq+DKF75jZRs9cDtiRGI0l04f5LyelzRsz40TvbLc44QZDQyICfNkD/ji7InJPHrBhHZvDeisH586lAun6l8VmqZpwXDJNOf7grc35YZ4JprWNfktWBaRhSLyAVAMrAHeBJ4CngD+BSwDskVku4jcJyKB3xSreZTVWDlwvJJv9xUyOqkPfV37b92pufV2B3klNaw7WOTZ3xhoq/cXcvHz69hztKLdz7U7FCv3Huek4QmEmZwrok17SftDvd3B4PhIxqc0DpYf+GgH976/nQueW8O6A0Wdvo47Hb7O6qCosp5aq28tsLIKq7jn/e187yo01pqRiTE8eO54nr9qKmeMTWw+B13gq8e6dEYqG+5dyKC+kaGeSpuunpPG4vFtp4lrXYuIzBGRb0VEicipXo5Hi8hLIpIvIntF5AFpUlXNdaN9pYiUus7V7DyapvlXanwkc4f144OMPP37X9O86HSwLCJjRWQt8DmQCPwZWAgMB+KAMCAZmAxcD2wBfgEcFpG7RETn2wXBGxuyOf1PK9l9tII5DSpdNwyQTh+TyNb7z2BccnDScIyu90kdqWS9NaeU0mor80f39zzWsOK3v1w6PZVVv57fbE/wt/uO893BIuqsDiw+tG1qi3tl+Z3Nubx4zXQWuXpgt6Wgoo53NueSV+pbkbQIi5FF45K87knXwbLW0Gvrspj+yBccr6gL6nWr622eVlda9yAi5wArcN4s93ZcgC+A8cAi4A7gV8DjDcZMBb4CVgEzgE3A/0RkSkAnr2kal0wfRFFVPV/tLgj1VDSty/HHnuUtOFeNpyultrQw5qjrIxN4RUQigR8B97qO/94P89BaMW9EAqcc6M+qvceZ3aDStcXYOEAKZvsU97bE9vYWBvhmj/MH+mmjBngea9hLOtC+/NVpfj2fO1j+346jXDRtEKnxvq0AzkyPZ+8jS3wauymrmIufX8dtC4Zz/byhzYqShZsM3LpgOLPSA982TAuu5TuO8vXuAn53zjgiLL7VJKi3OSisrKfO5luWg79MfugLLpo6iMcvnBDU62qdsg4YifMm+blejp8FzAbGKKV2A9tF5FHgXhF5VClVAdwDZCql7gMQkV/iDKxvB64N/Kegab3X4nED+VdKVofej2laT+ePVd2LlFIXtxIoN6OUqlZKPQOMAVb6YQ5aG8YlxzK8fzQiNAqG3KuJpdVWrn5pPV/tPha0ORkNzmt35IfzV7sLGJ0UQ0rciQJh/k7D3plfznnPrmFjltfFEr8yNaig9N8N2Xzm56reAIl9wpmR1penvtrP5zuPepmDgV+dOYp5IxL8fm0ttHYfqeCDrXntyuJw/2ywBmlbhttNJw/l1JH92x6odRlKqUKlVF4rQy4BdrsCZbfPgGjgFBExA+cD7zc4pwKW4wy0NU0LoAiLkY9vncdZE/UWGE1rqtPBslLqk4b/FpG72/HcUqXUd52dg9a2OpudT7bnM3JATKMVRfeK5pbsEr7dV0h5jX+rSbemoyvLx8pr2ZFf3mhVGZxv7v3Z9qii1kq9zUGEl+rg/1h5gLTffMJfvtjrl2u5vw5nTRjIV7sL2FdQ2eZzdh0p55Ln17Ijv+39yuDcl/SPq6fz+4smMD2t5ZIB7W1fpXV9ty8cwe6Hl/jUYszNbAxNWv4di0axeLxv2xC0bmMIcLDJY9muPwcBKYCxhTEJItJmiwAR2eHtAxjWyblrWq+hlAr61htN6+oCsV/4URH5cUsHxemqAFxXa8UbG3I4Vl5Hn4jGb5ZHJEbz4U9P8hT8mpQa5+3pAWFwpXzb27lneeUeZ6Xo+aMarz659yz7qy/srKH9+Oz2k5sV9wL4cGs+AAUVtX651sIxifzr2uk8doEz9dSXdPL/W5/N5sMlxEVafL5OfJSFy2YMJj0hyuvxSQ9+zp3vZPp8Pq3ncgfLwdraoPVoSUBpk8fcdwT7uo7Typjg/WLStF7shlc38YMXv/Pb+yhN6wkCESy/AjwjIlc0PSAilwE7gFcDcF2tFe6UyrMmNE6xibSYmJQaR3ZRNX3CTaT1C161XHdLmvauZG4+XMKAmDCmDunb6PGlEwby8HnjCMbP+JziagDGDPRPMTSLycCC0YmEW3xbzauqs/F+Rh7zRw1olIrempziakbf9xl/XL6nxWrbV8wczLwRes9yT/NJ5hF+/7/dbQ9sIBStxCpqrYy491Oe+nJf0K6ptUxELnNVt27tw5eK1YVA0x+W7ruQR13HaWGMo8HxFimlxnn7AA74MD9N04AlEwZy6fRUvXdZ0xrwR4Gvpq7HmU71ioiUK6U+EZELgQeAcUAF8GgArqu14pJpg0iOi+CUJvtRa6121h4o5JPtRzh5REJwC3y5V5bb+UP59xdP9Pr4zPR4osNMfHeoiLnDGn+edTY73+w5zpljE336HKvrbZz3zBpuOW0YF04d1Ox4has3tL8rh7sLrtW1ESyv3Hucyjobl81I9fncBoNQa3XwzNf7mZbWl/lN0tgBfrNkdPsmrHULq/Ye56Nt+dy12Pevr7udWTDTsK12hdWuCG5nZ60lSqk3cbaB7KxcnL//GxrS4FgeoIA0L2OOKKWCtz9I03qxi6c1f7+jab2dP1pHhTX8t6sox7U4f8G+LSLbgHdw7kt6CBiilLq/s9fV2sdkNHDqyP7NAsWyGis/emUTAJMGBTfTzWDoeOsob2qtdpY+9S1XvrC+2bG73snk5tc3s/lwiU/n2pFfzr6CStqKq0cn+TdYFhHMRmkz9bWsxgpAWgvp1N6YGxQRMxt0x7bexOpwNCoi54sTBb6CGSw7r2Uy6tdnD/MhMF5EhjZ47GzgOPCtUqoGZ2up89wHXW0llwDvBnOimtbb2R2KtfsL9RYcTXPxxzuSchHZLCL/EJEbRGSS67zX4PwlNwF4EkhTSj2olPKtGpEWFH0jLVw7Nw2AiYOa780NpD7hZqYOjqNPhLntwQ28sOogr6w51Ozxl1Y3f8xtWaazurSvYfm2HOfWuYkt3EA4Y2wiYSZDuwom+cqXftHuX2LmdgQVlgZjo8O9z/uiv6/lhlc3+XxOrXuw2lWjr78vQlHgy30tczsDe63LewfYA7wmIuNF5Fzg18CTSil3NaHfA3NF5D4RGQ78DUgAng7JjDWtl/pk+xGufHG9pz6MpvV2/giWv8RZyfJG4J84+y6XA98CJTirWU4FqvxwLc3PLCYDYa4VpNYqJAfC2OQ+vPeTk5qlTLflg615fLq9eeuj1lbGba5Ub5uPbXC25ZYRE24ivZ/3ldsXfjid3Q8v9ulc7WX2oV+0u52PyeB7UOFeKQSY4KVoGUBNvZ1y16q11jP8dcVevtp1rN0ry+5g+QNXMbtgcH+fNnytat2fUsoKnAoU4GwX+Qhwj1LqyQZjvgIuwNmneSPO1pKnKqX2B3/GmtZ7nT56ABFmI+9l5IZ6KprWJXR6WUwptRRARFKA6cC0Bn/OdQ0bDBS7UrIzgAyl1CudvbYvROR64GeuOXwL/LS1fpAicg5wLzAK2AT8XCm1w3UsCrgNuBgYCeQD/wEe6657qpRS/GPVQcLNBuKjfK+qHErLbp2Ht23O80YkcNn0VD7a1vjNfWl1vefvvhYryswtZeKgWE+quDeB2t9tMRranKc7mG5PUBFmcrbAOmVkf09xtWbX9nP7LS20yqqt/HWFs1hW33Z+f08ZHIfFZGDXkXLsDtXia8afPGnYeptAt6SUWgnet5wrpY4BF7bx/I+BjwMwNU3TfBQVZmLJ+CSWbT9CWY2V2HZm/2laT+O3dyRKqTyl1IdKqfuVUkuVUok4i3NciLOg11pgNHAr8JK/rtsaVwurZ4HHcd7VjgFWi4jX8sEichbwHvA6MBtnBc5VIpLsGtIPWIgzmB4LPAbcA/w2gJ9GULSUbhxIWYVVXPXielbtbV+qj4i0Guw1DTQram1Eu9KlfUkpLamq53BRdUj+T8D1ObSVhm1rfxq20SBsue8M/nXN9E5dW+s+tuae6MTTntcKOG+u3HHmSPYXVHK4KDiJQToNW9M0LfQumJpCvc3Bp9uPhHoqmhZynV5ZFpFIpVS1t2NKqRwgB/igwfjBOFedA0pELMB9wF+VUm+5HrsaZ+XNy3C2uGrqAeBdpdSzrvHXAUeAm4AHlFLZwOkNxr8qIqcDP3I9t9sRETb9diExLexhDSSbQ3G0vJbqeu9tjFry4rcHSYoN5+yJyc2OWUwG7A7VaCUsNT6S166fyU2vbcKXxbHMPOe2+mAXPHN75PzxxIS3fifX6lpab29Q0Vb2gHO/dPu+HlrXtTW7YbDc/gC0j+t1GKz2UToNW9M0LfTmDksgsU8Y723J5YqZg0M9HU0LKX+8IzkqIs+5Cnu1SSmVrZR63w/XbctJQDLguZZSKh/YBpzVdLCIpONMH284vhb4xtv4Brz1j+xWEqLDPCm6wTR8QDQrfnkqi8cntet5L3x7sMW7nZ7esA1WR5VSTB3cl02/PYPTxyS2eX53ca9JqcEteOZ22qgBTGvSQ7qpn5w2jC33nUGUxb83ObytzGvd1xljT7zeO5La7KmIbQtOz82OFK7TNE3T/MtoEM6fnMLGrBJyir2uh2lar+GPdyT3AacAW0RkvYhc11Kac5C5ezgebPJ4Ns42Vp0d73YSzqJmWpBY7arFN9PRYSZiI8yegE8pxbzff82Ty3f7fP7M3FIGxISR1CfcL/Ntr8NFVRw4XtnqmHCzkfgoS6t7qjvCYjQELTDSAm9sch9GJcYAzsJx7eW5+WQPTraBe3tBewrXaZqmaf53wdQUAN7PaLHMj6b1Cp0OlpVSf1NKjccZMO8GngGOiMjTIjKhs+fvBPdyZWmTxysBb8t27R2PiFwAzAT+6MuERGSHtw9gmC/P72kKKmr5yX828/WegnY9z2pztLhK9tP5w9n2uzM9BSlqrHZmDY0nOszM3e9tZ+3+wjbPv7+gkomD4gJWwKstv3prGz9/Y2urY9YeKOT1dVl+v7ZeWe45Sqvr+T6vzHND5TpXi7j2cN+UqgvSPvY5w/qx95ElPmWAaJqmaYEzOqkPYwf24b0tuSilb6JrvZc/C3ytUUpdgzP1+T6cBbW2ishaEfmhiPhtmU5ELhMR1doHEOYa3jRFOhZo3nfImU7t83hX2vnLwAtKqU87/tn0XrX1Dj7dfpRDx9tXPMjqcGAx+RbIRlpM/PnSyZw9cSDvbs5lX0HrK7YAX/7qNP54ycR2zcmfbjltGLedPqLVMR9vO8Ijn+zy+7V1ga+e45s9xzn76dUkRFu4c9Eozp+S0u5zeNvWEEgigsVkCErl7Z5ERM4I9Rw0Tet5LpyaQlZRNVuyS0I9FU0LGb9XdVJKlQFPA0+LyBycxbGeA/4qIq8D/1BK7ezkNd4E3mxtjIi4m+CmAUUNDg3BuW+5KXdDuTRgc5PxjZrNichQ4H849zPf4tusQSk1roW57sBZXbtXcS8OO9p5x7K1NOxNWcV8vC2fny0YQf+YMGx2ByajgdT4SPY+usSn8xsNQlxk6Npo+bKqdueiUdx8ylC/X1sHyz3H9LS+PHL+eC6cmoJSUGu1E25uX22CMGNwg+X9BRUs33GMC6emMDC2K+zm6TZ+DXwBICIHcG4NyuBEq0ZvN4g1TdNadcGUFNITokJW8FTTuoKAVlFRSq1TSl1H49Xm7SKyWkTmtv7sTluFM6X6PPcDIjIEGA+862X8HtdHw/FRwGkNx4tIIvA5sB+4XCmlSwd3kHv1yO6taXILHK5K1y2lYe8rqOS17w5TXOXsrXzh39dy+xsZPp//3c25PPXlvpCmHJVU1ZNXWtPqmPgoC2kJUX6/9r1Lx7D5voV+P68WfIP6RnLV7CFEWkws/tsqfvqf9pdWOLFnOTjB8s4jFTy5fA9HymqDcr2eQinVcGX5LmAvcDLOrg95InJERHQGlKZp7dIvOozTxyRi0kUXtV6s069+EekrIq2uUCulypVSzyqlJgNzce5tntPZa7dxzWrgz8AdInKBiIwHXgMygY9cc79ORApFZKJyRkePAT8QkRtFZBTONOsy15+ISH+cd++rgauBMBGJdX0Ev5x0N2d07Qm2tyMwtTpc1XJbSMO+fEYqBx9byqikGCpqrXyfV0bfSAtWu4MnPtvNV7uPtXr+FbuO8e6W3JDtVwa494PtXPDsmlbHrD1QyGcB6H8YFWZqs22V1vXVWu2sPVBIVZ2Nu9/LJKe4hrMnDWz3eTzVsIMULC8al8jGexcyPjk0lei7ExHx+gVVSr2jlLpXKbVEKZUIpOLM8PouqBPUNK1HqLPZeX1dFl/sbP39k6b1VP5Iwy4ELgfe9mWwUmo9sN4P1/XlWg+LiB34AxADfAWc32A12AHUAjbX+NdExAz8HHgcWAvMVUq5i349AriLlh1qcrnTgJUB+lR6JHfhIUc7Vpatdlcf1hbucjYMcrdkl+JQMCMtHgGeX3kAmz2dBaNbTnP++1XTKK+1+jyfQLAY2y6y9fKaLHbml7NkQvsDoNZkZJew+XAJV80e0u6UXa3r2J5XxpUvrOdPl0xiaEI0V8wczAVTWivq71242UifcBNCcG4ehZmM9I/Rrzsf7RaRG5VSb7U2yNUyMR/4ODjT0jStJzEZDDy/8iDjkvs0akeoab2FP4LlLl2JRSn1GM4VY2/HXgVebfLYS8BLLYy/GbjZ33PsrcwG96qV78GyrY0+rAePV/J+Rh4XTR3EpqxiAGak9cVkNGAQ39JJ+4R4ZdVsNHha6LTEandgNvr/W2/1vkL+9MVeLpiSooPlLs7hUDz91X7OmjiQ4QOiGx3LcBVjmTqkL+kJUR3eVjAyMYbMBxZ1eq6+sDsUD328g/OmpDB1cOt9xjXAWTPjbKDVYFnTNK0zjAbhjZtmkxKn60hovZPehKCFTEf2Q1pMBn6+cAQz0+O9Hs8urubpr/ZzqKiKjVnFDOkXyQBXv+S2ilet3HucR5btpMS13zlULCYDVfV2nv16PzX13rfE21opctYZP5yTxuq75oe0wJnmm/WHivnLir38+p3m9QozskuJizST1i8SgAkPfM7d72UGe4rtUlJdz6vrDrN6X9vt3TTAWVxykojcJaHcN6JpWo+XGh+JwSC6hZTWK+lgWQuZjrSlibSY+PnCkcwe2q/Vc1bV2cjILmX6kBNBtcXYerD85a5jvLw2K+Qrqu4g+Mnle/j5mxkUVdY1G1NvdwQkWI6NNDOob6Ru3dMNuFt5eLuxkZFdypRUZ6/w577ZT2WdrUP78CvrbDzw0Q5W7j3e6fm2xb0vOsykfy356F0gG2fmVIaI3CoiI0M8J03TeqiM7BJO//NKduaXh3oqmhZU+l2JFjJGg2A0SLuCZaVUq3uc3W+0txwupc7mYEbaiXROi8lIXSur2NtyyxiZGEOEJbTBclnNiT3Ty3ccI6uoutkYq92BOQBBxaHCKt7alENZdWj3bWtt25rjLKWQ1q9xVfQjZTUcLa9liiuVubjSmSnRkfsfNruDV9ZmkZlT2vbgTrK5tmME4iZQD1WDs4aGAiYCfwN2iUiZiHwrIs+IyA0hnaGmaT3GwNgIsouqefHbg6GeiqYFlb/6LJ8qIuHteYJS6nU/XVvrxp66fApDXKmivthfUMkZf1nFYxdM4MpZg5sdtxidge7aA85UzhkN0rXDWknDrrc52JVfzoVTU9oz/YCIDnN+W75y3QwSosMY2r95iyir3UG4yf9B/aasYn79TibjbutDbKTvFYm355axI7+Mi6YN0sFOkBSUO9sr2RyNX9NbDjsD2ymDnX0x3VkCHcmei40wc+jxpUGpDu/ejhGIm0A9kVJqAYCIWIDhOAPmKcBk18dJOAPpF0M1R03Teo6k2HDOmjiQZZlHuOesMSREh4V6SpoWFP4Klm9xffhCcP4C18GyxlkT21fNOTbCzHUnpTEqKcbrcXca9u6jFfSNNDO0QS/i1vYs7z5aTr3dwaTUuHbNJxDuXDyKi6cNanUuVpsiJsz/QUVHUuOtdge3/GczuSU1nD0pWQfLQXLX4tFc+eL6Zl+rjOwSRPC8ftyBbjuKznsEcyusOw3brLcA+ERE7lZKPa6Uqgd2uj7eaHA8BZgUqvlpmtbzXDM3jQ+35vPmxhx+On94qKejaUHhj2D5AT+cQ+ulsgqrMBmFQX19W10e0Cec350zrsXjlgarUrPS+zV6s9/anuVtrjTTiYNC39+1T7iZSalxlFTVszGrmEmpcST2aZy4YXUEJg07rAPB8racUnJLavjRSelE6AraQTN3eAKTU+PoH9P47n5GTinD+0d7qrqf+BboWGGWv67Yy7jk2IC3DNFp2O32qIiUKKWeb+F4PjA/mBPSNK1nm5Iax4SUWP793WFuPmUoJv3zWusFOh0sK6Ue8sdEtN7pBy+uZ8zAPrx4zXS/nM8dLN+7dAw3njK02bGWKm9vyy0jzGRgZKL3FetQ2FdQyU2vb+a5H0xlaZN+yla7A0sAWkd1pEL5mv1FAFx3UpouDBZE+wsqeObKKY1uNNXbHGzPK+P8ycmex9xfEofvX9JG/v7NAS6cmhLwYNn9mjMF4HXdQ70CPCMiZUqp/zY8ICKXAb8DRgH/DsHcNE3rgUSEH84Zwp3vZLJi1zEWj29fdqCmdUedviUkIuM78VyG9QowAAAgAElEQVSjiIzq7By07uuuJaP54ZwhPo/fcKiYCb9bzle7j3k9bjG2HOxdOzeNq2Y33+cMztXR8SmxXWpVyx24Wr18LmeMSWLOsAT/X9O157s9K8trXPvDt+eVUWv13upK879r/rWRBz/e2eixGquda+YM4cyxSZ7HBNee5Q6uLFtMBura8XroKHdvcUsX+h7s4q4H/gO8IiJnAYjIhSKSCfwfkAw8GsL5aZrWA50zKZm+kWZeXXs41FPRtKDwx7uSzSLyiIh47+XTAhFZDGwBLvXDHLRu6txJyZwysr/P42utdirqbC0edweYTy7fQ52tceB20bRBXDBlULPnVNbZ2H+8skukYDdkdq2weQtU7j9nLNfPSw/YNX0NlqvrbWS4Whj95D9bGlXy1gLr7qWjySqs4m8r9nkei40wc+9ZY1nYYBXYs7LcwfaYbbVc8xebQ6dht0ZEGuXbK2fD02uBN4G3RWQb8A4wCHgIGKKUuj/Y89Q0rWcLNxu5bMZg1h0sYu+xilBPR9MCzh/vSs4GrgKyReRVEfmBiAyRJpVhRCRKROaJyP0ishNYBmwA/uqHOWjdVHFVPQUVtT6Pd1f+bekNdcM9s2FNqkVb7Q6q65sH2t/nlaEUTO4Cxb0aCmtlZTlQ2puGvTGrBKtdMcl1o8He0YhMa7ezJybTL9rCgeOVnsfKaqyoJmWv3T+KO1ING5yviWC8BlP7RnLHmSMZNiA64NfqpspFZLOI/ENEbhCRSTh/h1+Ds+fyBOBJIE0p9aBSqiyUk9U0ref6wazBGAReX6dXl7Wezx97lr8QkZE473D/FLgaZyUZJSKlOHtB9gPcd8WrgA+AS5VS33f2+lr3dtNrm6i12Vl268k+ja+3tb76ZDEZyHriLK/HfvqfLezIL2fNbxY0enzSoDj+e+PsFitsh4r7c/S2qnf6n75h8fgk7lw02q/XbG817LX7nSnYJw1PYFtumQ6WgyivtIZ/XDWd2Eiz57GznvqWSYPiePYHUz2PuffhXzK9eVaFL1qrIu9Pg/tF8rMFIwJ+nW7sS2AqzvZQN+L8PVsLZODM0sp2Ha8K1QQ1TesdUuMjuXXBCCakdK2MPE0LBL+0jnK1rvgn8E8RScZZgTMVGABEAseBAiATWKOUajmPVutVLCYD5bW+p+562st0oAjQ0gkDmTK4b7PHIyxG5gxr1y6CoHAHy95W9UYmxpDUp12tzX0S1s6V5TUHChmdFOOpyOzo6PKl1m4L/vgNF04dxOMXTgCcq/qXz0glpW9Eo3Enj0zgi1+c4nPF+aZqrXa+3nOc8lqrp8J2INgdCodSmAwS1JZV3YVSail4WkJNB6Y1+HOua9hgoNiVkp0BZCilXgn+bDVN6+l+ccbIUE9B04Ki08GyiEQqpard/1ZK5eMsOqJpbWrvqlVbaditOX9KitfH392cy+TBcQzr37XSP08U+GoegP79qmkBuWZshIWLpg4ivV9Um2NLq+vZkV/Oj05Kx+TaGKtXloPHanfw3w3Z9IuycMeiURgN4nVltqrOxqfbj7JkQlKHqr0fK68D4PvcMuYO939RObdlmfnc/sZW3v/JXK83tTQnpVQekAd86H5MRFJxBs0NA+h5OFefXwn+LDVN6w1qrXY+3pbP+VNSdL0Jrcfyxyv7qIg859o/pWnt0t7iQVZXGrbJ4J8fyoWVdfzq7W28vyXPL+fzJ/cvnmBUInbrHxPGny6d5FNQtO5AEUrBScP7YdDBclA5V2Gdf/90+xEACipqvf7/Hyio4i8r9rL5cEmHrjVmYB8AfvbfDDZlFXdswj4Y1j+am04Z2qynuNY2pVSOUuoDpdR9SqklSqkBQBpwcYinpmlaD/a/749y5zuZfLHTe4cSTesJ/JGGfR/O/VM3i8gm4HngDaVUjR/OrfVwrfU+9sbqWlm2mNqfpvnQxzt5bV0W+x5d4knzjIsws+zWecRGBC69tKNaKvBVXW/jwufW8oPZQ7h6tu9tt/xtfEosv1kympnp/Vi2LR8Au07DDoqGrwn3zZQfvbKRCLORt388t9HYGel9ueW0YZw9sWP9MN+7ZS6ZuaX8Z302MQFMwx6fEst4vf/Nb5RS2Tj3MWuapgXE0gkDibQYOX1MYtuDNa2b6vTynFLqb0qp8cApwG7gGeCIiDwtIhM6e36tZ2tvD9fyGud296aVrn1hEGd7GluD1TeT0cD4lFhS4zu2nzOQzEYDC8cMYGhC45Toilobu49WUFJV7/drVtfbOOmJr7j3/e28tPpQq2NT4yP58anDiA4z6ZXlIGv4Gq63O6iss7Ezv5xxyc2DzTCTkbsWj+5woBthMTJraD+eumJKlyuCp2mapoWOxWTgzHFJGA26zoTWc/ltg4FSao1S6hogGedq86nAVhFZKyI/FBGdW6c1E9bOPct7jpYzICaMlLiItgc34a3S87LM/A6npwaa0SC8eM0MLpme2uhxd9rtjLR4v1/TbDQwNrkP/1mfzcPLdlJYWed1XElVPVuyS7C5VjiNrpV6R/Ayxns1a4PXsNXuICO7BIeC6WndY6+vw6G4/Y2MRql7r6w5xJj7/kduSXUrz9Q0TdO6mvczcnngox2hnoamBYTfd+MrpcqUUk8rpSbiLDCyB3gOyBeRv4nIWH9fU+u+LEZnGnbT3rAt+ctlk/nktpM9K5ntulaTYFkpxX0ffM8Lqw62+1yhopTizY05DOkXyeyhgQmWn75iiuffLa36r9h1jAufW+u50TCobwSLxyURE+6XAvtaG6wN7krU2xxszHJ+HaYP8f9rAmDXkXLm//Ebv+1L255Xxodb8/nlm1s9j9XaHNRY7bpIjKZpWjeTmVvGK2uz2F9QEeqpaJrfBfRdiVJqnVLqOhqvNm8XkdUiMrf1Z2u9gcVkQKnGaaWtERFPm6KOXAtOtEXKLamhpNrKxNSuu0/ysn+s48nluz3/zswtY/fRCi6dnhqw9joZ2aUA/OS0YQxo4f/65BH9eeyCCUweHAfArKH9eP7qaaQltF1FW+u8hhXS620ONmUVM6hvBEmxgUngsTsUhwqrKKvxvc1ba5bvOArApNQ4z2Pu1XKTTufTNE3rVn50UjoGoc3tW5rWHQXlFr5Sqlwp9axSajLOfpC7gTnBuLbWtfWNspAcG47NS3ukpp7+ch9/XbG3w9eyGBuvLG/NcQaFkwfFtficUIsJNxNhPrE/+9V1WRgNwsXTBgXsmle88B0Al81IbXGVLyk2nCtnDe7Q3nGt8zzp7wbB5lBsyS5h+pDApWB728LQGZ+7Vqgb3viyum6YmU16ZVnTNK07SY2PZMn4gby7Ja/F7Vua1l0F9F2JiJzR9DGl1Hql1A1KqT8F8tpa9/CT04az9u7TibC0HXRtOlzSqf3F7urS7tTizFxnsDx+UNddWX7xmume3rkFFbV8uDWf8yenBKW9zrbcMq9FxI6V1/LNngJqrXbPY2v3F3LmX1Z6bkBogZcSF0FCtAWAWqsjoL2J3TdNmlZm74gDxyvZX1AJNA6+3ee26DRsTdO0bueGk9Optzl4bd3hUE9F0/wq0O9Kfu3+i4gcEJG3ReQeEVkiIkkBvrbWw7z6o5m8eM30Dj+/6erYtpwyhvWPok8A2+H409EyZx/ducP6BeV6t/03g0NFVc0e/9/3R7n25Y3sO1bpeSzMbCAhOkyn0AbJkH5RrPnNAi6bMdjzWMOUZn+ztNDGrCOS+oTzt8snAzRqG6fTsDVN07qvKYP7MiOtL//+7jA19fa2n6Bp3YTfq/GIiChXtSalVMOV5buAKcDJwO1AgogUABlKqaX+nofWPazdX8h7GXnctXi0T3uRO5P223DPss3uYHteGUvGd+17Nne8vY0+4WbuP2esZ5+qJcBpql/84hSsdkWN1c7IxOatglbtPU58lIVxyX08j00bEs//3Tg7oPPSmjtzbCLPf3OAeruDMQMD19bJbHQGsO3pid6SqDAT501OIcpiIi7yxI0qq92BCLoFiaZpWjd1w8lDufn1zby7JZerZg8J9XQ0zS8C8a57m4gsbPqgUuodpdS9SqklSqlEIBW4CfguAHPQuonDxdV8tv0IFbWtFw56c2M2N7++CUcn+vhajM5Au97mYP/xSmqsdiZ24RRsgB355XyfXwZAhNnItCF96edKvQ2UEYkxjE3uw7QhfYkOa3w/rd7mYN3BIuYNT+hQRXLNPw4VVnHH29uwOxS3nDaMsyYODOj+8ab7/TuqsLKOj7blU1lnY+HYRKY3aH9mdSjMRkPACtdpmqZpgbVwTCJp/SJ54duDntoamtbdBSJYTgOWi8inIjKmpUFKqXyl1MdKqYcCMAetm7hi5mB2PLSYof2jWx23M7+cL3Ye61SAtnh8EvsfXcLM9Hi2uYt7BXCfpz9YTAZP6uvY5D68e8tc5g5LCPh1S6vrWbn3OMcrGhfq2Hy4hOp6O6eM7N/o8e25ZVzy/Fo2ZhUHfG4aFFfVsfz7o2QVVXHxtEH85dLJAb2ev9Kwl+84ym3/zWDXkXJyiqvJKjyR5m+1OTDrGzCapmndltEg/OS04RwuquaDrfmhno6m+UUgguV04G/AaThXmZ8Vkf6tP0XTWldvV5g6WfjHaBDPObbmlGE2SkBTV/3BYhQKyuuCfod299EKrvnXBjYfbhz8rtp3HICTRzQO2CvqrGzMKqHYS0Ewzf+mDYln+4OLqKqzc/IfvibLy95yfzpR4KvjmR0AF00dxL+unc7UwX25/Y0Mbnsjw3PManfoStiapmnd3AVTU1gyPonkALUy1LRg8/ueZaVUEfBLEfkT8ABwI/ADEXkM+KtSSr+b1jz2HK3grU05XD17SKs9eq12R6er5OaX1vDu5lwWj0/irAkDGT4gusu3PiqvsZFXWsMflu/hjLGJ/G3FPn579hhGJ/Vp+8mdcGJ/d+PgaNXe44xOimlWjdtkcI7vTJq81n4DY8MxCMRGBLZInbvoVmfTsMPNRhaMTgTgx6cOo+HL5clLJvmlgJimaZoWOmajgb9fNS3U09A0vwnYbXylVJ5S6kZgHPAZ8BiwV0QuC9Q1te4np7ial1YfIrekptVxNrvDU2Soo46W1/KnL/ay62gF80YkcP289E6dLxj2HKsAYN2BImrq7Rwrr/WpJ3VnedujWlBRy4788mYp2ADu+xh2pYPljqi3OcjI9r0t2s78ch76eCdD+0ex/9GlAW8lJiJ8+atTuXXB8A6f47uDRfzf+mxPldQzxyWxuEGBPbPRQKTF7/dvNU3TtBCotdpZlpmP0u8LtG4u4DlvSql9SqkrgLHACuA1EVkX6Otq3cOJFczW2wxY/ZCGPT45ls2/Xcis9HjyS2u6xQ/wp66YAsDopBhOGdmfL355KuNTAl+UzNse1W/3FgJwmpdg2eAqymTv5SvLh4uqeH7lgXa/tj7feZQrX1jPkbLWbxq5HSys5F9rDnG8oi5ohdaG9Y+mX3TbFetb8uraLB79ZCfu+l1lNVaOldd6ji/LzOeNDdmdnaamaZrWBfz7u8P87P8yWH9I1zLRureA3MYXkWhglOtjtOvPoTiLf5mBmYG4rtb9NO193BJ/pGFbTAb6RYfx4rcHeeSTXXz5q1MZ1kZhsVA7d1IyURZjwFcOmzJ7WVleufc4kRZjowrGbu52P709WD7zL6uoszm4cEoKA9rxNSursVJjtVNZawMf7oW4swvMnfyeaI//fX+EvpEWZg1tf5/vqjobX+0uYPH4JMLNzq0Pd7+XyaasEjbc62ye8ObGHI6U1XL5zMGtnUrTNE3rBi6ZnkpyXAQzvLxn0LTuJBB9lnOBge5/uv6sAnYAHwDbXR+a5gmW63wIlk2dTMOuqLXyfkYesRFm7lw0ivR+Le+R7kpOH+Pc4/nNngLe3pTLfWePJSnAhTO8rSxfNXsI84YneO3z3JuC5bzSGpJjw722OPK8jtvxUnU4FDnFNY2f3wZ3v+POfk+0x+8+2sG0IX07FCx/ubuAOpuDsyYM9DxmMRoa9W1++oopnS4gpmmapnUNsRFmljb4ma9p3VUgliXKgbeB+4HzgWFKqRil1Gyl1I1KqaeUUl8H4LpaN+ReLfYWJOSV1vDLN7dSXW/DaledXkWrqLVx/4c7KK6q56fzh3ebPsH7Cyo4VFjFocIqPtl+hDpb6ynr/uDeH97w6zIzPZ5LZ6R6He8Olh3dILW9M1buPc5JT3zF+xl5zY4VVjrbbN186lAGxPh+M2NvQQXPrzwA0Ch4bI17Zbmz2Rbt8dI1M7hr8egOPfeTzHxiwkyN9rubjQasDV5fcZEW+sd0PM1b0zRN63re2ZzLU1/uC/U0NK3D/P5OSyk1Vil1uVLqUaXUR0qpQ/6+htZzhLWShv3s1/t5LyOPosp6Z1sZP6RhA2zPK+tWK6A3vbaZBz7aEdTU2zCjM1XWvbK8NaeUQ4UttycyevYsB3xqIfXWphwADh5v/n+x0bUva3Z6+1Ze46MszEhz9vtu+n1QVm2lotba7DlWz8py8ILl8SmxDOlANkZFrZWv9xznjLGJnhRscH4/um8OVNXZ+OPyPRw8Xum3+Wqapmmht2rvcZ75aj8FDWpUaFp3optaaiHV2p7lWxcM52+XTyY1PpI7Fo3ivrPG+OVayzKP8PXugk6dK5juWjKam04Z6gksghEsm02NWwU9+PEOrn91Y4vjT6Rh9+xoebhrj7u3NHh3EZPnVx5o9cZCUwNiwrnltGFA8++DSQ99zoI/rWz2HKvntRC87IiNWcVsymp/oZYvdxVQb3Nw1sTG6XgWkwGrXeFwKFbvL+SZr/ez11X9XdM0TesZbjzZ+f7llbVZoZ6KpnWIDpa1kDpRDbt5kBUTbiatXxRl1VZmpMUzd3hCp64V1mCv7eTBcZ06VzAtGpfEScMTPAFSMFJvLUYDJ49IYEi/SAAePm88vztnXIvjk+MiePOm2Swal9TimJ7goqmDALz2A3YHy3mlNVTV2Xw+59acUgTvfYxjwkwcr6hr9hxrCNKwH/x4B098trvdz1uWeYSYcBPzRjT+/m34vf/17gLMRmHeiOaV1jVN07Tua8KgWOYO68fr6w5TVtM8U0rTujrd1FILKW/9fMFZzOq7g8U8v/IA/7x6GukJUYSZjAx2BW+duRZAQida4ARbQUUtVrs6sZpoCvxqoslo4PXrZ3n+3Va7qnCzsUOFn7qTmno7RqP3oLas2sruo+VcPy+d+84e6/M580prOP/ZNZzsCiSbBuFjBvahwkvgXeTaHx0ZFrwf4RajgVqbnQ2HipmZ7lt10/JaK6v2HufcycmEmYyNjnm+9+0Ovt5TwMz0eKKD+PlomqZpwXHb6SO4/J/f8fKaQ/x84chQT0fT2kWvLGshFRVm4p6lo5utOr347aFGRY9u/vdm7v2gc0XUvVUv7g5u+28G17+y0bOaGMx2QQCfbj/CjvyyVsfU2eys2V9ITnF1kGYVfP9ac4iTnvgKaB4sb8gqRimY5WMQ6eZOa547zPn6b5hhsWrvcTZkFXtdxd50uIRRiTFBDS7NRgPf55Vz6T/W8dn2Iz71kv7uQBH19uYp2HAiWN6aXcqx8joWjE70+5w1TdO00Js9tB8z0+P51+pDlFbXh3o6mtYuOljWQircbOSmU4YxdXDfRo9X19twF6u22h38etFobjx5aKev998bZ7P2Nws6fZ5gspiM1NsdngDNFKQq3le/tJ4/Lt/DXe9mtlnJsqzayg9eXM+yzCNBmVsojE6K4WxX0Nd028CsofG88MPpDOgTzi/f2sr23NZvLrhtOFSMySCeldqG1cf/umKv81ot7Of/+cIRHfo8Oqphy7Bb/rPF64p3U2eOS2LFL09lnpctFO7z/W/HUQAWjB7gp5lqmqZpXc2di0ZRXmvj8U/bv51H00JJB8tayFXW2aiub/zG22pXRFmcq2b1NgeLxyc1ajvTUXOG9SM5LqLT5wkmi1Gotzmw2h1YjIagrZArBZsOF1NRa2szkImNNPPiD6ezZHzP3bN8+phE/nTpJKB5ANsn3MwZYxOx2R28tyWPbB9X2DdllTAuJZbh/aN54sIJTB9y4qbR81dNIyUuwmuwfPqYRJYEuX/l1uxSAOYM7cfNpwz1+abN8AHRXrMh+kSYSeoTzoqdx0hPiCI9oXv0Pdc0TdPab0ZaPJdNT+XNTTmsP1gU6uloms90sKyF3NSHv+DhZbsaPWa1O4gKOxEs55ZUU1LVO1N3zEYDVrszWDYFsfrxv2+YxaRBzkJo80e1HiyHmYwsHJtIWg8NeMprrdTU27EYDTxwzljOHHciZbiyzsa7m3M5XlHnCQrr7W33wi6rtrLnWAUz0/oSG2nm8pmDGeqqtg0woE8404b0bbaKvfdYBbkl1T6lQftT/z7Off5/v2oqdy8dQ6Sl9RTwNzdm8/CyndRavf9fXDFzMJ/cNo/jlXVtvr40TdO07u/upaNJiLZw9/vbsfX0XpNaj6GDZS3kfjZ/eLOVy3q7g8gwZ0GgOpuDs55azcPLdoZieiHnbrFz1ewh/PnSyUG99pe7C5iQEsuAPs1bJTVkdygyc0s5Ulbjeaze5qDcS4/g7uj1dYeZ9ODnFFTUce1J6UwbcmJv8qasYn719jY2HCputRVaU5sOO/crT0+Lx+5QHCmr8VQKPV5Rx4db8yiuqm92rkc/2cXFf1/nr0/NZ69fP4tlt84jLtLi0/jM3DK+3lPQqAp9U9/sOY5SOgVb0zStN4iLtPD4hRO57+yxmIJcf0XTOkq/UrWQu+30EZwxtnFxH1vDNOwQrKp2JWajgXqbg4mD4lgcxDTnH/5rA/sLKpnvQyBTY7Vz7jNr+M932Z7HLvnHOiY+8Hkgpxg03x0sol+0hQExYZRU1TdqfzF7aD/eunkO80YktCtY3phVAsD0IX0pq7Ey5/GveNXVh3LfsQpuf2Mre45VNDvXrQuG87tzxga9YF1KXATjU2J5a1MOo+/7jP0Fla2Of/SCCXxy68ktznNbTim/ensbgM/VtTVN07Tu7YyxiZ5somBnSGlaR+hgWesSHI7GPzCdadjOlWWrTWGzq6BXge4qLCYD9XYHOcXVHCqsCtp1V+09Dvi26ufev2p3/eJTSrEtpzRwkwuiepuDTVklzB7aDxFhwZ++4f4Pv/ccDzcbmZkeT2yEuUE7pLbfAGzKKmZY/yj6RYcRaTFyz9LRnOQqhGV1fT8Mjo8kLSGy0RuK6WnxQd+v3FSt1dHqDQH3fCMsxhbHuLMQfnvWmEbFwzRN07Se78OteVz8/LoWt+poWleh36FoITf/j99w/asbGz1mtTsarCzbqbc7em+w7FpZvv/D77n25Q1Bv/7ENnosAxhcq4d2V5CXU3wiHbu73znenldKjdXO7KHO1c+fLRjBUlewWlNv5+U1hzwts8J8XFmutdrJzC3zrKi6q8JPcxX4srqe/4uFI/n8F6d6Vmf3HqtgZ355s5tLwdSwP7I3Dodi6VOreWHVwVbPs3j8QLKeOIsb/FDlXgs9EZkjIt+KiBKRU70cv891rOHHuiZjZovIShEpdZ2r2Xk0TesZHEpRXW+nuJfWo9G6j+A16dS0FpgM0uyNt9WuiAwzMSEllr6uPZLmXpuG7fy8r5o9hOr64N2Bffm6GdjtCoMPVY+NhsbB8rqDhZ5j9XYHYaaWVxi7uu8OOvcWzx7aD4Dr56V7jm3JLuHBj3cSH2UhNT7yRIGvNoLl6no7l89M5bRRJyq8V9XZMIgQYTFiczif3/Q1/9zX+/l85zEyf3cmBkLz/eBeBfbW/xlg3cEidh0pJ3xmajCnpYWQiJwDvAGsaGVYOvBP4NcNHvP8QBORqcBXwJ+AG4CfAP8TkblKqQy/T1rTtJA6f3IKZ09M7rULIVr3oV+hWshZTIZmwcX5k5M5eXgCH986jx/MGgLQa3+gJkSHkdYvkrnDEjhnUnLQrjt/1AAWNtlL3hJ3PO0OltceONEWwpf9u13ZdweLGBgbzuD4SMD5OdbZnO/x1x9yBtLuFWLPnuU2qmHHR1l46LzxLBh94v93ysNf8JCriJ07jfvrPce55d+bPYXSNmeXMDk1LqSFUdq6IfDGxhzCTAbOnZQSzGlpobUOGAn8uZUxQ4FdSqmyBh8NN77fA2Qqpe5TSu0DfgkcAm4P2Kw1TQsZEfF0+3j26/2UVfeMgqBaz9Pjow8RuV5EMkSkSEQ+EJFW38GJyDki8p2IlIjIFyIyrpWxb7aUcqb5zluw/OB547l0hnNlyr3q3FsrJ9586jC+uXM+FXXWLpuuJCIYxJlWBVBcVc/UwXGs/c0CTzp9d9R0vzLA2U+v5uqXnOnw6w8WMTg+koGxzt7dvhb4qvBSJTzMeOL7wJ2GXVRZx5bsEmqtdgrKa8kprmnUizkUTtwQaP45llTVs/z7oywZn0RspDnYU9NCRClVqJTKa2NYOrDf2wERMQPnA+83OKcClgNn+WuemqZ1PdtySnly+R7ufj+z22/b0nqmHh19iMiPgWeBx4FTgRhgtYhEtDD+LOA94HVgNlAIrBKRZst5InIRsDBAU+9VLEYD23LLqKqzNTv2s//bwnNf73eN651p2G43vLqJm17bFOpptMhkMHhWll+/fhZv3jyH5LgIn9K4u6qm+5XB+Tq02h3U2exk5JQyq0ElZ5NB+MPFE1vNALA7FHOf+IoHPtrR6HGzyeBJbXanYV9/cjrr71nIgJhwNh12Vs+elhbaytHu1HBvNwQ+2JpHvd3BZTMGB3taWhcmIhZgEPCaiOSJyOcicmaDISmAEWi60T0bSBCR1nvXOa+xw9sHMMxfn4emaf43PS2em04Zyqfbj/LWppxQT0fTmumxwbLrl/N9wF+VUm8ppb4HrgaGAJe18LQHgHeVUs8qpfYA1+H8P7qpybn7Ac8Bvw/Q9HsV9wrV3e9tB5x7IWc+uoJnv95PTnE1+WW1QO9Nw90gyDwAACAASURBVF659zi3v5HB0bLaLv1/YDCcSMMGOFxUzRsbsrt1r+V1rnRy935lOJEJsS2njHqbg1kNjokIl05PZeKguBbPWWez88M5QxqdE04UcoMTadgmw4mv96asEkRgyuCWzx0MYS3sWVZK8ebGHNL6RTa6uaBpgAKmAXOAHwG1wKcicqnruLsnXtMS+u407dC+6DVNC6g7zhzFhJRYHvhoZ5ttCTUt2LruO+/OOwlIpnFaVz6wDS9pXSKSDkxvMr4W+MbL+GeAXcDb/p50b5SR7Xx/ZDIIh4uqcCjF9LS+JMeF8+HP5nHP0tGkxkcQG9E70zrzSmpYtfc4pdVWzF24xY5RBLtDUVln4863t/H4p7v4zXvbKSivC/XUOqxfdBjzR/X37FeGE8HyhkPOQHpWkx7BeaU1FFTUtnjOSIuJOxeNbtYz290iDMDm+nNHfhm/eTeT3JJqNh8uZlRiDH3CQ/t90NKe5czcMnYfreCS6alB7wGtBYaIXOalgnXTjza3ISmlrEqprUqpPUqp5ThTrjcDD7uGuCsC9mny1FjA0eB4a9cY5+0DOODzJ6xpWkhYTAaeumIKInDH29sa3XjXtFDruu+8O2+I609vaV2DOjpeRC7AGTxfi/OXuM90mph3l0xz/ve+l5HHhkPFhJmMPPeDaVwwxfn4wNgIvv31Ai6f2TtTO6+cNZiM+88kMTYMcxdOaR6XEktyXAQ19XY++/4oI5Ni+N/PT2ZQX6+7HrqFK2YO5uXrZjYK/ixGZ1C7/lAxybHhzT6/c59ezUMf72zxnAUVtV73ZTXcu5+WEMU5k5IprqrnjY055BTXsCO/nOlpod2vDC1Xw35jYw5Gg3DxNG8/XrXuSCn1plJK2vhY2YHzOoDVgLtheB7O1ee0JkOHAEeUUs336Gia1qOkJ0Rx56JRbM0p5dW1WaGejqZ5dN/KO21rLa1rVDvH9wVP+vXfgduVUlkiMgSt0/5w8UR+e/ZYsgqrGq3gATzx2W6iLEZuPX1EiGbXNVTV2SiurCcytet+y7518xzP379/cFEIZ+IfVrsDk0GarZJaTAaq6uxsPlzConFJzY7fsWgUBeV1VNbZiA5r/PVSSnH2U6uZmR7PM1dObXzeBmnY80cNYP6oAXy2/QgAm7KKsTkU04eEPr15xIAYdj60qFE7sOp6Gx9vy2f+qAEk9mlze6mmgTOTKwNAKVUjIl8A5+FsHYWIGIAlwLshm6GmaUH1wzlpfLwtnyeX7+GMsYmkNnlPqGmh0C1Xln1JDQPCXMO9pXUd9XLa1tLA3OOfAjYopV7uyLx1mph3IkJshJlJqXH0jbJQUF7Lwj+v5J3Nuazae5z/bsjml29uZfPh4lBPNSS+zytj3O+WU1Vv58Ip3acdT0F5LZ9uP0JhZfdMw37mq/3M+/3XzfZcm40GCivrqK63e1pGNTQzPZ6/rNjLfR983+xYdnE1BRV1jBnY9MeMs8BX0wrT7lVcdyuuaSGuhA3OntqRFpOntzY4+0afNzmZq+fo+4dacyJytohcKCJpIjJKRP4OzKVxz+XfA3NF5D4RGQ78DUgAng7BlDVNCwGjQfj9RROxOxT3vL9dV8fWuoRuGSz7khoGrHcNT2vy9CFArpfTuh/zOt7VcupK4EwRqRCRCsCda/mZiHza2c+rN6u12vlq9zEOFVZRa3Wwv6CSilrnHt2CijpW7DrG0bLuGXR11qHCKs/fTxvVP4Qzad2v3trGs1/vp6C8loeX7eT17w7zk/9sYfeRilBPrUPSE6KYmR7fbI+wO4D9w8UTvX49vtx1DIDDRVXNjm3Mcla0nuGlonXD1lEvrDrI/D9+49m3NXpgDNfOTesSKe3V9Tb+sfIAm13VucHZC/zRCyZw6siu+/rUQqo/8DsgE1gFpAIzlVLu39Mopb4CLgDOBTYCY4BTlVJe201pmtYzjUiM4afzh7P2QBG7uun7B61n6bo5nZ23CmdK9Xk4C4ngSpseD9zvZfwe18d5uNK+RCQKOM01/hgwvMlzBuEsAHaD60+tgyrrbPzolU3cceZIFo93bmMzGw2EGQ2MTIzh09tPDvEMQyfO1a/2rsWju3ThpMNFVRwrr2Xe8AReWn3I0z6p3m4P8cw65vwpKZzvZSU/zGQgzGTg0umpXp/32Ke7ARib3Hz1eOOhYixGAxMHxTY7FhNu8qwsx0WaGRwfSaSrR/Ws9HjP90Wo1VkdPP7Zbn6xcCTThvQlp7gaQKfLabj2Lzf7IeXKxmozI0sp9THwcQCmpmlaN3LLacM4fcwAr79HNS3YemywrJSqFpE/A3eLSAawD2fP5UzgIwARuQ54EliglMoUkceAl0XkW5zB9sNAGfCyq8BIo3RpEXEXHclzVdrWOsi9Wldvc3gKB5mN4ix6VN2uOmo9zrzhCXz+i1MYmRgT6qm06oFzx3H206s96bnRYc49rd768XZ11fU2wk1Grz2izUYDdTYHZTVWrxXaYyPMlNVYG7V9ctuYVcyk1FjCzcZmx166dobn75dMT+WS6alsyXau3hZW1nfm0/Gr2Agz6+5e4Flx/8uKvXySeYSNv10Y8krdmqZpWvdnMRkYn+K8qbzrSDnpCVFef29qWjB0yzRsXymlHgYeAf4ArMBZcfM0pZR7qcuBs9+jzTX+NZw9lW8D1gDhwFylVNOiX5qfWVztaOrsDmyuHrNmowGDQdhfUMmyzN57L0JEunygDM5+0ODcYw0Q5VoVdfcM7k6e/Xo/Ux/5ggovPaLdK8ofbc3z+tzVd80HaLb/+HhFHQcLq7ymYLfE/X3x2w++Z9eRcp+fF0gGgzAwNoIoV/GyW04dxsPnj9eBsqZpmuZX+wsqOfeZ1fxlxd5QT0XrxXrsyrKbUuox4LEWjr0KvNrksZeAl3w892G8pJxp7ecOCqw25QkyzEYDGa59kdX13TOVtzd5cvkewLnXt6iqnkhXMNUdV5bXHigiITqMGC8BYFpCFM9fNY1Jqc1TqQFiws3MHdaPlLjG+4s3ZTkL1M3wUhQM4MOteew5WsGvF4/mqS/3sWZ/IY+cPx6ASIuR4QOiO/Mp+dWbG7NJT4hmZno8IxJjGNENbuZomqZp3cuw/lH88oxRnDc5OdRT0XqxHr2yrHUfBoNgMgj1dnujNGz3muSZYxNDNzmtXWyuolRRlu6Zhl1ZZyMzt4w5Q/t5PR4dZmLx+CQGxrZcbOv/bpzNT+c3LnGwIasYkZYrWn+7r5DX1x0GIKuoip1Hyj3bE+5cNAqzsev8uL7vgx28uzmXP3+x17NnWdM0TdP8SUS45bRhJLtuPlfX65brWvD1+JVlrfuwmAxN9iwbePPm2RwuqiYu0hLi2Wlt+ehnJ3HuM2uoqnP+Mjuxsty9sgI2HirG7lDMHeY9WO6oTVkljEnq02K68u8vmsiTF08EwGZXWIwG+kWH8dgFE7pEy6iGzEbh48x8quvtDI6P1MW9NE3TtIB6eNlO1h0o4r2fzNX7l7Wg6jpLFVqv5w6WG+5ZHpccy9IJXaMKsNa6Ca5iHDVWZ3DsKfBlb3ll2WZ3cOfb21h7oLDFMcG27qCzp/GsFlaWfXHn29v4w/92e/6tlGJY/ygWjUtq8TlGg3iqnVvtDkxGITrMxJWzBjMqqWulORtEqK63MzA2nLMn6u9PTdM0LbDGDuzDziPlev+yFnQ6WNa6DLPRgNV+Ys+yyai3g3cnIsLBx5bymyWjgQYFvlpJw96RX87bm3P574acoMzRF2sPFDI6KYb4qI5nMxRW1lFSfaI4mIjw18uncPvCES1fd38hf/5iLza7A6tddam066YqXNkDv1g4Ut/h1zRN0wLuwqkpnDk2kRe/PeQpJKppwdB1341pvY7F1ZLnJFerpEmD4kI9Ja2dDAbxpNH3iTCzaFwi6QktF6Zaf8i5ivvxtq5T7TyrsJpxyd6Ld/nq5etm8viFEzz/djjargi+9kART325j1rXVoSuHCy7nTdFF13RNE3TAk9EePj88URajNz7/naffq9qmj/oPctal3HyiAQGxkYQHWbqFq2StOb+ueoAVXV27l06hmH9o/nH1dNbHb/+oLNC9Ns/nhOM6fmk3u4gzOzfQPWalzcQG2HmmSuntjimYa9xm8OBuQtnVvzhoon0jbIQZtKrypqmaVpwJPYJ5/bTR/DIJ7tYtv0I507SN2y1wNPBstZlPHGRs7hRdlE12/PKOHlkgu7d2s38a3UWUwbH8ferprU51u5QbMgqZumEpHb1Hg4kpRRWu8PTyqyj/rpiL5W1Nn579liA/2/vvuPbKs/+j38uSZYdz+ydOAtCJiSEhEAZhbKhUAqU0RZoS58uKE9pnwIt0EILtAV+tAVKW2gYLatQRpmBsAlJCAlJCJC9B4ntOMNb0v37Q5Jjy7LjeB1Z/r5fL71knXOfo0sHolvXuRcH9M0jN6vpr9u6yXJNyBHwpW7L8nmHDfE6BBER6YK+Mb2Qh95fx+9e+owTx/bTUCBpd6n7a0y6rHdWbueHjyxg265Kr0OR/TTzJ0fzu3MmsqcqRCTiOP3P73BnI5NxfLZ1F7srQ/TP78aH60o6ONLkIg5G9smlT15mq84zf+0O3ly+vfb19WeM5ScnHNjkMfFu19WhCDWRCBkBfT2LiIjUlRnw8/OTD2JTaQUPzl7rdTjSBejXmKSMq59azBWPLuSEsf349/emM6i7lqPpbPKzMnjigw2Mv+EVNu+soHduJrmZyVtU412wF27YwYV/n9uRYTbK7zNe+8kxDdZI3l/xmd2B2jHczTkGqF1rPMOXut2wRUREvHLqhP5MGtqdu95YSUlZtdfhSJpTN2xJGcGAj3DE0Tcvi755WV6HIy3wzMJNrC8p5/LjRlHQLYMHLp3aaNl5a0oo6JbB+IEFfLShFOdc7dJJnV2G32qT5e89/CFl1SEe+27T47Iza1uWHf/vvEPaPUYREZHOyMz45WljuHTGByzbupvpI1u+1KPIvihZlpRx45njgejMyKP752mSr05oxntr8PmMp39wZJPlnIuOVz5sWE+yMnw4B6GI83xSq12VNVzz1BK+fMjAJtdE3pdgwE9NOEIk4vhgbQlfOKB3M46JtyxHGDtQM8GLiIg05tDCnrx39XHkaW4baWfqhi0ppbImzM+eXMQ9b6z0OhRpgbrdjwF+9MgCbn7x0wblVm7bQ0lZNYeP6Fk7Vre53ZXbU1VNhA/WlrCltKJV5wn6o9dh+bbd7KoMNWsCs7oTfL27ooglG7WOpIiISGPiifL8tSWEtZSUtBMly5Iy/jxrBQdd9zKVNZFWteqJd4IBH0s372LENS9QWRPmky27+HTLrgblRvbJ5ZUrj+bLhwyslyR6rU9eJvN+8SUuOXJ4q84TDPioCkf4YE10XHazkuU6E3z97MlF3K0bRiIiIk16Y9k2zrn3fZ78cIPXoUiaUjdsSRmrtu8BoGdOkOPH9PM4GmmJeMIXcdHZnYN+X9IWY5/PGN0/2s0+lZLltpIZa2Gft3YHuZkBxgzI3+cxI/vmcsXxBzC4Rzf+dMEksoNaDkNERKQpR43qzc9PPohTJgzwOhRJU2pZlpRRURMGorMcBrVsTqcU/+/ms+jM0ondsiE6XvmeN1eydHO0m3E8wa5KgWR5685KrvnPYuavbd1SVvHrMHtlEZMLe+BvxszWw3vn8JMTDmRY7xwOG9aTcQMLWhWDiIhIugv4fXz/2JHkZ2XgnLpiS9tTRiIp4/1VxQB8Sa3KnVZ8/HH8Oej3UZ3QsryhpILfv7yMt2LrEGfWmdjKa0V7qnh03gbWFJW16jzxicqKy6qZOqxHs49zzvHJ5l28u6IorVraRURE2tP23VVcdN9cnl+82etQJM0oWZaUcfERwwA4fISWAOis4i2qtclykpblob2yef+a4/jalCH1yqbCBF/xGFrbs+HLBw/ihLHRmz7NGa8M8PGmnQy/5kXOuXc2F8+YRyji/fUQERHpDPKyAmzdWcl1z3zM9t1VXocjaUTJsqSMq04czYrfnkJWhsZqdlaZtclytGU1WbIMMKCgG71yMwHoV5DFlMIetUmzl0Kx2TRbG8vo/nn0ygkS9Ps4eEjzloHqk5fJpUcOo7w6zLiB+WQHNaWEiIhIc2Rl+LntvIPZWVHDdc98rC7Z0ma8/3UqUkcqJEzScvHxx4E63bFrwvUrrDtmLuODOmOCvzi6L09+/whG9sntuEAbURNL7APNGGPclJ3lNSz7fDeHFvZo9s2ffvlZ/O8JB2IGhxY2v+u2iIiIwOShPbjs6BG8vHQrT8zX7NjSNpSZiEibOWJUb2BvshkM+OpN3LVxRzl/en1l7fj0VFMTb1luZTfs5xZvZuH6Um46a/x+HbdwfSnONb/rtoiIiOz1kxMOZOLgAq5/dimfbW24dKXI/lKyLCJt5qRx/fni6D613bEz/T6qQ+Ha/XNXR1uUpw7fmwwu2biTC/8+hwXrd3RssEnEW5YzfK37apw+oie3nj2BPrGu5s1RUlbNxf+YB8AUtSyLiIjst8yAn7sumEww4OOH/1pAWVXI65Ckk1OyLCJtygF5WRkA/PC4UTz4ram1++auKSYY8HFInXG8NZEI23dXUVkTTjxVh4tP8BUfc91So/rmcf7UoRRkZzT7mECd9+ybn9Wq9xcREemqhvbK5g/nTGTV9jJ+qfHL0kqaQUZE2sx976xmzupi/vujLwA0GIc8b00JhwzpXm8c7+ShPXj1J8d0aJyNaatu2C2RqbXFRURE2sTJ4wdwyRHDeGD2WsYPKuDbXxjudUjSSSlZFpE2M6pvLmcdMog+edHux2uLylhXUs5Ro3qzfU8Va4vL+fLBAz2OsnFt1Q27JTIDfn5/zkSNVxYREWkDvzhtDNt3VzF+YL7XoUgnpmRZRNrMsaP7cuzovrWvH5+/gb+8uYpPbjyJuWvi45Xrr6O9ubSCq/+zhLzMAHddOAmz1nWBbo1JQ7vz26+MZ1CPbp68/3mxtadFRESkdTL8Pu6+aLLXYUgnp2RZRNrNVycPZurwnmT4fcxZXUzAZ0wurL/ucGVNmLeXbwfgm2sKmTaiV7JTdYgRfXIZkQJLWImIiEjbCIUjPPrBBnpkZ3D6xNTt3SapSYPkRKTdjOqbyxdH9yXD72Pu6mIOHtKd7GD9e3TBOmN1/a1c33h/hMKRBtv2VIXYtquScESTgYiIiKQDB8x4bw1PfrjR61CkE1KyLCLtpmhPFQvW72DjjnJWbS9j2vCG43Ez/Hu/hqqTJLDtwTnHwb+eyWUPzSdSJzF+ZO46pt48i227KzskDhEREWlfGX4f//z2NO6/+DCvQ5FOSMmyiLSbF5ds4ex7ZlNeHebx7x6edExuz5wguZkBJgwqoLBXTofEtXLbHsqqw7z6yefsrrMG49Thvfj5yQeRn9X8JZ9EREQktQ3s3g2/z6ioDlNSVu11ONKJaMyyiLSbYKzVOOJco2ORM/w+Pv71SR0ZFrNXFQPwtSlD6i3ZdMiQ7vXWgBYREZH0UB2K8JV73qNvfhYPXnqYpxOKSuehlmURaTfx8ciPzdvAqu17Gi0XiTh2V9ZQFQp3SFzvryomPyvAzWdPqLfmc1UoTGVNGOc0ZllERCSdBAM+Tp0wgLeXb+eB2Wu9Dkc6CSXLItJu4snyA7PX8sT8DY2WW7JpJxN+NZOXlmxt95giEcecNcVMLuzBjvLqehN93T5zOQdd9zI1YSXLIiIi6eYHx45kSmEPbn7xUz7aUOp1ONIJKFkWkXYTn7zrhjPG8vVphY2W61+QxeXHjeKAfu2/bNOnW3dRWl7DltJKpvzmNVYXldXuq4klzhl+dc0SERFJNwG/jz9fOIm8rAx+9MgCyurMWyKSjJJlEWk38Zbl4b1zGNIzu9Fy/fKzuOrE0YwbWNDuMb0fG698zOg+QHQMU1xNOELAZxrHJCIikqYGFHTjD+dMZOOOCm6buczrcCTFKVkWkXaTGWtZXrB+312dnHMdMlb4/VXF9MoJMm5gPgBVdZPlkKu3lJWIiIikn+PH9OP0iQN4YPZaFq7f4XU4ksL0q1BE2k15dXTCrqc+3NhkuW27Khlx7Yv89e3V7RpPKBxh3poSDh/Rq3YW7Jpw/ZZldcEWERFJfzecMY78rAyufmpJh00wKp2PkmURaTeThnand26QP5w7sclyGX4fztXvEt0eivZUM6x3DkeO6l3bRbzue27YUU7v3Mx2jUFERES81ycvk+tPH8uyz3dzx6vLvQ5HUpTWWRaRdtMrN5P5vzxhn+WSJa4ttW13JT2zgwSSdKfuX5DFfy//AgDvriiq954V1WE+2lDKOYcObnUMIiIikvrOnjyINUVlnDVpoNehSIpSy7KIeK42WQ63LlleU1TG1N/O4u43Vu33e85fV0JN2HH4iF6tikFEREQ6BzPjpyeNZlTfPADCES0dKfUpWRYRz0VnoG59y/KsTz8HYN7a4qT7Zy7dyiUz5rFtV2WD1uz4LNnTlSyLiIh0OXe8upxvP/gBESXMUoeSZRHxnJmR4ffVm5m6JRbEZrRsbAmqXZUh1hWXE3F711KOtyyHnWPS0O70zc9qVQwiIiLS+QT9RtDvo1KTfUkdGrMsIikh0+9rdcvy4o07mVLYg2tOOSjp/nMOHVw7Jrm8OkSP7Az8sTWVrzllTIcsXSUiIiKp5wfHjsIsegM/HHH4fVodQ9SyLCIpIhjwtWrM8oaScjbuqOCoA/pg1rCC+97DH/KLp5fUvh7RJ5eF15/IV+tM6JXsOBEREUl/Pp9hZlRUh7lkxjwenL3W65AkBShZFpGUEAz4qG5F16c5q6NjjhdtLOW1Tz6vt686FOHlpVv519z1XPHoQipr6r/Pna8t5xv3z6235rKIiIh0TVWhCDc8t5TH5q33OhTxmJJlEUkJwYCPmnDLu0GvKy4H4PXPtvHK0q319i3aWFr793OLNgPRbtjXPfMxsz79HMNqx02LiIhI19Ut6OcflxzG5KHduebpJTy9cKPXIYmH0n7Mspl9G/gRMBR4B/ihc25TE+XPAH4BjAbmA1c655YmKXci8HXgOOBd59z57RC+SJfx+lXHtmp8kN9n5GYGeO0nx5Dfrf5X25xV9WfHzvD7qKgJ88i89fTOzeTHXzqgxe8rIiIi6SU3M8CMS6dy0X1zuOqJRWQG/Jw6YYDXYYkH0roZxcy+B9wN3AIcA+QB75pZt0bKnwb8B3gYOBwoAt42s4F1ymSY2f3A07H95wPfb8/PIdIVtHYijf894UA+/vVJ9C/IIjtYP1l+f3Uxg7p345vTC/HZ3sR61c2ncsXxo1r1viIiIpJ+Crpl8PC3pnFA3zyueHQh/431TJOuJW2TZTMLAtcBdzrnnnDOfQx8AygEvtbIYb8CnnLO3e2cWwZcSvQafbdOmT8CZwFHOed+4px71zm3o70+h0hX8cT8Dfxr7rpWn+fphRuZWacbdlUozIfrdnD4iF7UhF2Drta3vvQZZ939nsYri4iISD09coL88zvTGNU3lyseW8jD76/1OiTpYGmbLANHAgOJtgAD4JzbDCwCTkssbGbDgSkJ5SuBN+PlzWw08D/Az51zC9oxdpEu58kPN/KvOS2fSOPZjzZx60uf8efXV/LwnL1J90frS6kKRfjv4s08Om89wTrJ8p2vLeevb6+mJhzReGURERFpoE9eJo//z3QOK+zJdc8u5Xcvf+Z1SNKB0nnMcmHseXXC9vXAYBpqqvzhsb/PAaqBbWb2EjAOWA782jn3zr4CMrMGY59jRu7rWJF0d9/FU2rXPG6Jd1cU8fLSrQzq3q3ees1bd1WSnxXgsqNGcPurywn4977Hna+tAGD6iF4tD1xERETSWkG3DB769lR+9uRihvfK8Toc6UDpnCz3jz2XJmzfQ3Tyrv0p3yP298Gx58uB3wM7gWuBWWZ2mHNuUasiFunC8rMyWnX8H849mFu/OpGz73mv3nrNZx4yiNMnDsTvMz7bupsP1pY0OHb6SCXLIiIi0risDD9/Ov8QLHZj/6MNpfjNmDC4wOPIpD11yn6HZvY1M3NNPYDMWPH8hMMLgK00VNSM8vmxcmc65151zs0DLgB2E+2e3STn3LhkD2DVPj+0SJp7Y9m2Vo9Z9vsstl5zpMF2oNHu1ocN79mq9xXpqizqfDN708yKzGyTmT1oZr0SyvUzsyfNbLuZLTazHyQ51xlmNsfMdpjZq2Y2ruM+iYjIvsUT5XDEcdUTH/HjxxYS0pwnaa1TJsvOucedc9bUA5gbKz4s4fBCINmCafFtTZVfBxQ758rrxFJBNNkd0vJPJCJPL9jE7TOXt/z4hRuZ8d4aMvx7k+V5a0q48O9zWLZ1N395cxUzP/mcUKRhpdbaVm2RLu5bwH3AoUSXVDwaeCq+08yygdlEb2IfBdwB/Cm2YkW8zD5XoxARSRV+n/G3b07hnq9PJuD3UVEd5of/WsCsTz8nHHFJj9lZXkNpeXUHRyqtlc7dsN8m2qX6TOBDADMrBMYD1ycpvyz2OJNYJW9mOcCxdcq/C1xiZgOcc1tiZbKIjjme1V4fRKQrCAZ81IRafnf2mYWb2VBSztBe2bUzW5eUVbGuuJz8bgGqQmEA/u+kg2qPeeSyaRR0U6Is0lLOOQecWGfTOjO7CbjfzEY451YTTaYHAYc650qBz8zscOD/zOxvzrkIdVajADCzS4EtRFej+FWHfSARkWYa2Se39u9PtuzireXbeWHJFgYWZHHS+P50y/CzrqSc9cXlrCsuY1dliIunF/LrM8d7GLXsr07ZstwcsdbfO4CfmtlXzGw88BCwGHgOopVxrNvYxFiFfzNwkZldFpv5egbRcckzYqd9BFgKPGlmU8xsJNG76Qbc2ZGfTyTdBAM+qlrRlakmHCHgN4J1WpZPHj+A964+jgEF3Wq7Xx91YO/aY44Y2ZtxAzXWSKSNxYc15cWezwXeiCXKcS8BK+kSIAAAG0JJREFUw4ExzVmNQkQklR1a2IO51x7PrWdPoF9BFjPeW8s9b65i9soifD7j2NF9ufy4UZw6YQAAW3dW8tsXPiHSSCu0pI50blnGOXeTmYWJTsaVB7wOnOWcC8eKRIBKIBQr/5CZZQBXArcQ7TZ2RLyCd86FzexY4Dairc/ZwPvAVOfc5x32wUTSUDzJdc7VjgnaH/HxyMGAr94EX3GZgWiyvK64nL55Wa2OV0QadSRQAcTXVykEXkgoE18nbjBQFfu7qdUoRERSWk5mgPOnDuX8qUMpqwoRdq7RYV4vLNnCA7PXctakQbppn+LSOlkGcM7dTLTFONm+B4EHE7bdD9zfxPl2Ee0WJiJtKJ7M1oQdwUBLkmVXmyxXhSLMXlnELS99xq1fncC4gQUEY+f/3sMf8uF1J7Rp7CISZWaDgR8Cdznn4klwf5KvNAF7V5ugkTI9aAYtzSgiqSQns+kU69IjhjFteE8lyp1A2nbDFpHOJd5NOlmrcHNEW5aNow/ow4VTh/LeqiKWbNpJn9zoxPjB2PkvPmJYm8Qrku6as/KEmR1Tp3wB8DzR+T9urHOqIpKvNAHR1SaasxqFiEja8PmM8YOiX4PvryrmwdlrvQ1IGpX2Lcsi0jnEW36rQ5G9C7/th1CsZfmsSYM4a9Igzr7nPUb0yaFvfla98x87uk+bxSySzpxzjwOPN6dsbLLL54Bc4Ejn3J46uzeSfKWJ+L74b5FhxCbkrFMm2eoVyWJNusxUrMV5bHPOISLihb+/s5q3lm9nwuACJg9tVmca6UBqWRaRlFAvWW6B6ARf0XOUVYVYvHEn00fsXeo13nJdXKZlG0Takpn5gceAg4CTkszh8SxwnJnl1tl2OrDEObeS+qtRxM8ZX43iKURE0titX51AQbcMrnzsI/ZUhbwORxIoWRaRlBDvJt3SZLk6HCHoN+5+YyXjbniFUMQxfeTeZDmejP/40YWtD1ZEgNpE+UGiie25QJGZFcQe8T4ifyc6/vghMxttZt8iuh7zb6F2+al9rUYhIpKW+uZl8fuvTmR9STm/fq6x6RfEK0qWRSQljB9UwLeOHE52pr9Fx8e7YY/onVO7bdrwhsmyFmkQaVPnARcRHV/8FtFJuuKPqwGcc0XAUURXpZgLfB/4ZqybN7EyDxGdPPMK4D0gizqrUYiIpLMvje3HRdOG8u8PNzLrUy2wk0o0ZllEUsLU4T2ZOrxni4//zlHD6V+QxSkTBnDwkO6UV4Xok7d38HO8S/bRB2rMskhbcc49CjzajHLLgSanod/XahQiIuns2lPH8Oay7Vz/7FKmj+xFdlBpWipQy7KIpIXvHDWC0ycOZHdlDR9v2lmvCzZAVoafnGD0ISIiIpJKcjID/OrL49hUWsGfZq30OhyJUbIsIinh1U8+Z/wNrzB/bUmLjg9Hoh2sb33pM8IRx8Du3ertLymrpqw6zNri8lbHKiIiItLWThjbjxPG9uO+d1azbOtur8MRlCyLSIron5/FyeP70z072KLjR//yJa575mMuPmIYJ8TG/tT1+a5KABZv1BBIERERSU2/+vI4ggEf/5yzzutQBI1ZFpEUMWFwAbede3CLj7/kiGFMLuzBgf3y+Ps3pzTYX9grG4CvTBrU4vcQERERaU+Dunfjqe8fweh+eV6HIihZFpE08cvTxza53zCAFrdci4iIiHSEMQPyAaisCVMVilDQLcPjiLoudcMWkZSwdPNOjrz1dWYu3dpkuZpwhOiyrPtnT1UIgFXb9rQoPhEREZGOUl4d4pQ/vsMvnl7idShdmpJlEUkJzsGm0gp2VYaaLDf+hlc4/29z6m3bWVHDuOtf5p43G589Mjs2C/akoT1aH6yIiIhIO8oOBvjKpEGcPnGA16F0aeqGLSIpIRiI3rurDkUaLVNaXk1VKMLcNfVnzK4JRyirDtNUg3NOZoC1t57WJrGKiIiItLcrjj/A6xC6PLUsi0hKCPqjX0c14caT5Q/W7ki6PX5MwGdtH5iIiIiIh/67aDPX/Gdxi4ahSesoWRaRlBBvWS4pq2ZTaUXSCmHemmIgOlNkXaFwtGyGX19pIiIikl4+3rSTR+dt4LlFm70OpcvRL0sRSQnxZPmPs1Zw5K2vU5WkO3a8+3V8/HFcdaxlOSOgrzQRERFJL/97woGM6pvL9c8uZXNphdfhdCn6ZSkiKSGxVTgxWS6rCrF08y7OmzKY/17+hXr74t2wM9QNW0RERNJMVoafO792CBXVYX782EJCTQxZk7alZFlEUkJmQqtw4kRfOZkBZl99HFd+6UCyMuq3LKsbtoiIiKSz8YMKuObUg/hg7Q7+NGuF1+F0GfplKSIpIZiQ6FYnuWvaLz+LZVt3M+O9NfW2x7sk9cjJaL8ARURERDx0yRHD+NKYvvz5jZXMXlnkdThdgpJlEUkJvoQu1Ikty/e9s5q3l2/n+cVbuGPm8nr75q4pwQwOHdqz3eMUERER8YKZ8YdzDqZ/fhY/fvwjivZUeR1S2lOyLCIp4/LjRnHqhP5A/WS5OhThtpnLeOnjLVx3+hhe/+mx9Y5bU1TGmP75FGSrZVlERETSV4+cIH88fxLFe6q4/BGNX25vAa8DEBGJu+rE0Tz14UZeXLK1XrIcDPj44BdfoqI6TPfsYIPj/nHJYeyqrOnIUEVEREQ8MXV4T649dQzz1+6gJuwI+Pd9jLSMkmURSSnxJaSqw+F62/OyMsjLymDRhlKWbNrJBVOH4q/TdTs/S63KIiIi0jV8+wvD+daRwxsMY5O2pW7YIpJS4sly3aWj7n5jJS8u2QLAzE+28stnPqayJppMP/DeGm5+8VMiEdfxwYqIiIh4wMzw+Yyd5TVc9tB8Fq7f4XVIaUnJsoiklNzMAP3zs/Bb9E5pdSjCn19fwaxPtwEQ9PtrtwMs3FDK28u3686qiIiIdDl7qkN8FOt1J21P3bBFJKUcOao3c649vvb1kk2lVNZEmDY8OtP13m7a0WT5j+dPoioUbngiERERkTQ3qHs3Xr/qGPI0HK1dqGVZRFLa3DUlAEwbEU2WM/x7W5zjMjWzhYiIiHRR8UR52dbd/Ob5T3BOQ9PaipJlEUkpG3eU839PLmL+2miSPG9NCf3yMxnaMxuAzDoty/e9s5qfP7mYsMYri4iISBf37EebuO/dNdz1+kqvQ0kbSpZFJKXsqQrx/OItbNhRTigcYf7aHUwd3guLjWGu7YYdivD84i0s3LCj3qzYIiIiIl3RVSeO5tjRfbj91eXMXLrV63DSgpJlEUkpB/XP55MbT+Yrkwbz6Zbd7KkK1Y5Xhr3J8o7yapZs2sm04b28ClVEREQkZfh9xp8umMSI3jlc9e9FrC8u9zqkTk/JsoikrLlrigHqJ8ux2bDnrComHHG1Y5lFREREurr8rAzuvmgy1aEIP3xkgSZBbSUlyyKSUvZUhfjN85/w7ooi5q4poWdOkFF9c2v3xyf4entFEYBalkVERETqGDMgn5vOHM+STTu5+YVPvQ6nU1OyLCIppSYU4b531/Dhuh18sLaEqcN61o5XBhjaK5sLpg5h9fY9jOyTQ5+8TA+jFREREUk9504ZzNmTB/Hg++t49qNNXofTaWmdZRFJKXvXUQ7z+HenE0lY/uCg/vlcd/pY/j1/I9NGqFVZREREJJGZ8ZuzxvPJ5l387N+L6ZEd5OgD+3gdVqejlmURSSnxZLkm7BjdP48xA/IblFmwrpRQxHG4kmURERGRpLKDAR64dCqHDe/B6P55AKz4fDfvriiiJhzxOLrOQS3LIpJSArFloJ5euIkTxvbjsGH1J/D6bOsuvn7/XAAOH67JvUREREQa078gi3995/Da1/e+tZr/LtrMohtOJMMPsz79nMUbd9IzJ0jPnCDZQT/BgI+g30dmhp8hPbrRK7frDnlTsiwiKcXMCAZ8bN9dxV/eXMVhl9RPiHMz935t9c3P6ujwRERERDqtn58ymjMPGUi3YHR1kReXbOWpBRsbLe8zOGxYT3560ugGDRhdgZJlEUk5mX4fhw3rwbWnHtRg3+Ae2ay6+VQ+31XpQWQiIiIinVffvCz65u1tbLjt3Ilcf/pYisuq2FFeTXl1mOpQhOpQhKpQhIXrd/Dy0q3EOv6xZONOfv/KZ/z85IMYP6iAoj1VPLNwEws3lJIT9NM7N5N++Vkc0C+XIT2yKcjOwIAMv4+sDL83H7oVlCyLSMrJCPjolZPJqL55Sff7fcbA7t06OCoRERGR9GJmFGRnUJCdkXT/WZMGccMZ44gvTFJcVsX6knLCkegErEs37+I3L3xKbmaAUCRCZU3ysdCnTxzAXRdOjh2zk+G9c8gOpn4qmvoRikiXU1JWzctLt3odhoiIiEiX5/PtXcLz2NF9eetnfWtfTx7anTd/eixDembjMyivDrO5tIIV2/awubSCXRU1ABwYm2CssibMufe+z2kTBvCHcw8G4DfPf0J2ZoC8zADdgn6yg366Zfgp7JXD2IENJ3rtSEqWRSQlVYc0S6OIiIhIKsvLyiAva2+rdE5mgAP65XFAv+S9AwFuOXsC/WPzzoQjjn/OXZe0RfqCqUO45eyJbR/0flCyLCIpZ+61x5MZ0Mp2IiIiIukkK8PPmYcMqn3t9xmf3ngyuypC7KkOUVEdorw6TEV1mF65QQ8jjVKyLCIpp59muRYRERHpEvY1btpLaroRERERERERSZD2ybKZfdvMFppZsZk9Y2aD9lH+DDObY2Y7zOxVMxuXsH907DzFZva5mT22r3OKiIiIiIhI55LWybKZfQ+4G7gFOAbIA941s6RrzpjZacB/gIeBw4Ei4G0zGxjbXwDMAnYBhwEnAqOBp9r3k4iIiIiIiEhHSttk2cyCwHXAnc65J5xzHwPfAAqBrzVy2K+Ap5xzdzvnlgGXEr1G343t/wIwCLjcObfaObcIuAOYZmbd2+/TiIiIiIiISEdK22QZOBIYCDwd3+Cc2wwsAk5LLGxmw4EpCeUrgTfrlF8Xe647h3k/YJ1zrrQNYxcREREREREPpfNs2IWx59UJ29cDg/ez/OEAzrmPzex24CUzux+oBi4BvtkWAYuIiIiIiEhqSOdkuX/sObHFdw/Rccb7U75HndePEe3GfQowAvgI2NacgMxsaSO7RjbneBEREREREekYnbIbtpl9zcxcUw8gM1Y8P+HwAmBrktMW7au8mU0B3gFudc4dCBwArAXeSZw1W0RERERERDqvTpksO+ced85ZUw9gbqz4sITDC4GNSU4b39ZU+R8DO4C/xOJYA1wEGNHJwPYV97hkD2DVvo4VERERERGRjtMpk+Vmeptol+oz4xvMrBAYT/KlnpbFHnXL5wDH1imfCVQBrs5xESBMw+7bIiIiIiIi0kmlbbLsnCsnuqzTT83sK2Y2HngIWAw8B2Bml5pZkZlNdM454GbgIjO7zMxGAzOAnbFnYs+FwF/MbJSZHQD8A6gBHunIzyciIiIiIiLtJ50n+MI5d5OZhYHfA3nA68BZzrlwrEgEqARCsfIPmVkGcCVwCzAbOCK+LJRz7iUzOx24FphPtJV5NnC0cy5xFm0RERERERHppCzaoCpeMrNdmZmZeSNHalJsEZGuatWqVVRVVe12ziVONCktpPpVRKRra23dqmQ5BZjZViAb2NDKU8V/DWjCsPp0XZLTdWmcrk1yui7JtdV1GQKUO+f677OkNEsb1a/6/75xujbJ6bokp+uSnK5L49ri2rSqblWynEbi6zjHZtiWGF2X5HRdGqdrk5yuS3K6LulN/30bp2uTnK5Lcrouyem6NC4Vrk3aTvAlIiIiIiIi0lJKlkVEREREREQSKFkWERERERERSaBkWURERERERCSBkmURERERERGRBJoNW0RERERERCSBWpZFREREREREEihZFhEREREREUmgZFlEREREREQkgZJlERERERERkQRKlkVEREREREQSKFkWERERERERSaBkWURERERERCSBkuU0YWZnmNkcM9thZq+a2TivY0oFZnaymb1sZlvMbLuZPW1mhV7HlSrM7BQzc2Y2w+tYUomZDTSzW81sgZlVmFmO1zF5ycwyzexGM1ttZnvM7AMzO83ruLxgZuPM7NnYv5uLE/YFzOw2M1tjZuvN7M9mFvQqVmkbql8bUt26b6pfG1Ld2pDq171StX5VspwGYv+o/gM8DBwOFAFvm9lATwNLDRcDzwJfAE4DCoFXzSzD06hSgJkVAH8DdngdSyoxs68CS4FJwO+BMc65Mm+j8txtwNeBS4CxwCzgGTOb4GVQHc3MDgE+BGoaKfJP4Gzga8A3Yn8/1DHRSXtQ/doo1a1NUP3akOrWRql+JbXrV3POdcT7SDsysw+AVc6582Ovs4AtwB+dc7/yMrZUY2bHEf0iOt4597rX8XjJzO4HBgDdgLXOuUs9DslzZnYE8BbwG+fcr72OJ1WY2Xai1+SPsddZRJOGXzrn7vQ0uA5kZt2AIUAVsBa4xDn3YGzfBGAxcIpz7uXYtvOBR4BRzrnVngQtraL6tXlUt9an+rU+1a2NU/0alcr1q1qWOzkzGw5MAZ6Ob3POVQJvEr3bK/UVxZ7zPI3CY2Z2MnAhcJXXsaSY3wNzVJk3sA6YWOd1DyAT+MibcLzhnKtwzi1vZPc5wG7gtTrbXgIMOKW9Y5O2p/p1v6hujVH9mpTq1sapfiW161cly51ffIxQ4l2V9cDgDo6lMzgScHSxL6G6zCyfaPewa51zn3odT6ows0FE//941szuM7PlZvaRmV1tZgGv4/PYVcCZZjbLzK4AZgP/INpSIFGFwAbnXCi+wTm3E9iFvos7K9Wvzdfl61ZQ/ZqM6tZ9Uv26b57Wr0qWO7/+sefShO17iN6dkhgzywV+ATzpnFvndTweup3oj78u072nmQ6OPV9JtLI6B3gAuBH4rUcxpYqFRO/oHkL031AvYInTOJ66+tPwexj0XdyZqX5tBtWt9ah+bUh1a9NUv+6bp/Wr7uh0fvGuT/kJ2wuArR0cS8qKTTryFBAi+oXdJZnZicB5wMH6Im4g/m/o+865/8b+XmxmBwI/NLNrnHMRj2LzjJn5gJlABTAUCAPfAv5oZn2dc9d7GV8KKQIGJdmu7+LOS/XrPqhu3Uv1a6NUtzZC9WuzeVq/qmW589sYex6WsL2wzr4uLfZl9BBwKHCSc26zxyF56WdADrDEzHab2W7gKODrsddDvQ3PU/EWkQ0J2z8mes26akvSF4FpwO+cc2XOuUrn3D1EZ6b8gbehpZSNwGAz88c3mFkvov/v6Lu4c1L92gTVrQ2ofk1OdWvjVL82j6f1q5Llzm9Z7HFmfENs3bpjid7tFfgT8GXgNOfcMq+D8djFwGii3X3ij/nAc7G/u/KPnY+BncDxCdvHA1udc8UdH1JKyIw9VyVsryF5t6iu6lmgO3BMnW2nE71Oz3sSkbSW6temqW6tT/VrcqpbG6f6tXk8rV/VDbuTc845M7sZmGFm7wBvAzcR/WKa4WlwKcDMbgEuAy4APoutfQhQ7Zyr8C4ybyS7829mFcAu59wqD0JKGc653WZ2I3CDmW0B3iF61/dbwOWeBuett4FVwN1m9j1gJfAl4JvANV4Glkqcc++b2evAX8zsIqJ3vH8H/N05py67nZDq18apbm1I9WtyqlubpPq1GbyuX5UspwHn3EOxcUNXArcQnUDhCOdcl74rZWbTgatjLxNbAR4AuvS6h9KQc+4OM9tBdHbKvwLLge845/7pbWTecc7tMbMvEk0S/gn0JHpdvu+c69IJQxJnAncBLxBtFbgP0JizTkz1a0OqW2V/qW5NTvXrfvGsfjXNQSAiIiIiIiJSn8Ysi4iIiIiIiCRQsiwiIiIiIiKSQMmyiIiIiIiISAIlyyIiIiIiIiIJlCyLiIiIiIiIJFCyLCIiIiIiIpJAybKIiIiIiIhIAiXLIiIiIiIiIgmULIuIiIiIiIgkULIsIiIiIiIikkDJsoh4zszuMLMVZlZqZh+Z2clexyQiItLZqX4VaR0lyyKSCuYA04FewCzgSTPL9TYkERGRTk/1q0grmHPO6xhERGqZ2RRgLjDAObfN63hERETSgepXkf2nlmURaREzG2lmT5iZM7MZTZT7HzN7K9YF7E0zu7SJsuOAXwKP1a3IzeyG2Ps09ujVtp9ORETEG6pfRVJHwOsARKTzMbMbgGuB6n2U+3/AlcBTwPXAOcA/zKy/c+6WhLJbgP7AQuCURk75F+CtJNt3J5xrIrDEqeuMiIh0IqpfRVKLkmURaYmhwO3AY8CiZAXMbDrRivxx59z5sW33Au8BN5nZQ865TfHyzrkBZtYXuAlYYGYTnXPFCaed65x7vKnAzOw9YJBzbljLPpqIiIhnVL+KpBB1wxaRlviOc+5aYGcTZa6KPf82vsE5Vw3cCfiByxIPiHUN+z7QDTh3f4Mys2xgGvDh/h4rIiKSAlS/iqQQJcsist+a2f3qZGC9c25JwvbXYs/HNHZ6oDz23Gxm9hhQRvSHwtmxsVab9+ccIiIiXlL9KpJa1A1bRNqcmfUEcoD5ifucc5+bWQ0wKFa2N3A08AoQBn4KZAPP7efb/hWoBC4GbgCWAondzERERDot1a8iHUvJsoi0h6Gx5+2N7C8hVpkDPYDvAffGXi8Avuic27I/b+ice8PMLoq9vFfLYoiISBpS/SrSgZQsi0h78Meew43s9wFVAM65FcCJbfS+k4FNqshFRCRNqX4V6UAasywi7WFj7Ll34g4zM6AnsClxX2uYWSYwnujSGCIiIulI9atIB1KyLCLtYRtQw97uYnUNInpnvE0rc2ACkIEqcxERSV+qX0U6kJJlEWlzsdk83wAOMLMDEnbHu4S91MZvOzH2vLSNzysiIpISVL+KdCwlyyLSXu6KPV8T32BmWcCPiS5d8WAbv9+w2PPGpgqJiIh0cqpfRTqIJvgSkfbyAvAkcGmsEp8DnEf0DvVPnXOlbfx+8XUjf2xmg51zj7fx+UVERFKB6leRDqKWZRFpF865CHA+cCMwlujajLuAC5xzt7fDW94LvAOcTnQtSRERkbSj+lWk41h06IOIiIiIiIiIxKllWURERERERCSBkmURERERERGRBEqWRURERERERBIoWRYRERERERFJoGRZREREREREJIGSZREREREREZEESpZFREREREREEihZFhEREREREUmgZFlEREREREQkgZJlERERERERkQRKlkVEREREREQSKFkWERERERERSaBkWURERERERCSBkmURERERERGRBEqWRURERERERBIoWRYRERERERFJoGRZREREREREJIGSZREREREREZEE/x8Xm58L+EudBQAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 2, figsize=(6.5, 2.75))\n", "ll = 0\n", "styles = ['-', '--', '-.']\n", "for jj in range(3):\n", " ax[0].plot(obe.sol.t/1e3,\n", " obe.sol.v[jj], styles[jj],\n", " color='C%d'%ll, linewidth=0.75)\n", " ax[1].plot(obe.sol.t/1e3,\n", " obe.sol.r[jj],\n", " styles[jj], color='C%d'%ll, linewidth=0.75)\n", "\n", "#ax[1].set_ylim(-5., 5.)\n", "ax[0].set_ylabel('$v_i/(\\Gamma/k)$')\n", "ax[1].set_ylabel('$k r_i$')\n", "ax[0].set_xlabel('$10^{3} \\Gamma t$')\n", "ax[1].set_xlabel('$10^{3} \\Gamma t$')\n", "fig.subplots_adjust(left=0.1, wspace=0.22)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now run a large sim with 96 atoms:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Non-parallel version:\n", " \n", "```\n", "sols = []\n", "for jj in range(Natoms):\n", " trap.set_initial_position(np.array([0., 0., 100.]))\n", " trap.set_initial_velocity(0.0*np.random.randn(3))\n", " \n", " trap.evolve_motion([0, 3e2], \n", " t_eval=np.linspace(0, 1e2, 1001),\n", " random_recoil=True,\n", " recoil_velocity=v_R,\n", " progress_bar=True,\n", " max_scatter_probability=0.5,\n", " record_force=True)\n", " \n", " sols.append(copy.copy(trap.sol))\n", "```" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Parallel version using `pathos`:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Completed in 15:36. \n" ] } ], "source": [ "import pathos\n", "if hasattr(obe, 'sol'):\n", " del obe.sol\n", " \n", "t_eval = np.linspace(0, tmax, 5001)\n", "\n", "def generate_random_solution(x, tmax=1e4):\n", " # We need to generate random numbers to prevent solutions from being seeded\n", " # with the same random number.\n", " np.random.rand(256*x)\n", " obe.set_initial_position(np.array([0., 0., 0.]))\n", " obe.set_initial_velocity(np.array([0., 0., 0.]))\n", " obe.set_initial_rho_equally()\n", " obe.evolve_motion(\n", " [0, tmax],\n", " t_eval=t_eval,\n", " random_recoil=True,\n", " max_scatter_probability=0.5,\n", " record_force=True,\n", " freeze_axis=[True, True, False]\n", " )\n", " \n", " return obe.sol\n", "\n", "Natoms = 96\n", "chunksize = 4\n", "sols = []\n", "progress = progressBar()\n", "for jj in range(int(Natoms/chunksize)):\n", " with pathos.pools.ProcessPool(nodes=4) as pool:\n", " sols += pool.map(generate_random_solution, range(chunksize))\n", " progress.update((jj+1)/int(Natoms/chunksize))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, plot all 96 trajectories:" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 2, figsize=(6.25, 2.75))\n", "\n", "for sol in sols:\n", " ax[0].plot(sol.t*atom.state[1].tau*1e3,\n", " sol.v[2], linewidth=0.25)\n", " ax[1].plot(sol.t*atom.state[1].tau*1e3,\n", " sol.r[2]/(2*np.pi*0.1*atom.transition[1].k), linewidth=0.25)\n", "\n", "for ax_i in ax:\n", " ax_i.set_xlabel('$t$ (ms)')\n", "ax[0].set_ylabel('$v_z/(\\Gamma/k)$')\n", "ax[1].set_ylabel('$z$ (mm)')\n", " \n", "fig.subplots_adjust(left=0.1, bottom=0.08, wspace=0.25)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "One interesting result from the Unager paper is to look at the average force as a function of position and velocity for the random particles." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, '$f/(\\\\hbar k \\\\Gamma)$')" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "allv = np.concatenate([sol.v.T for sol in sols]).T\n", "allF = np.concatenate([sol.F.T for sol in sols]).T\n", "\n", "v = np.arange(-.003, 0.003, 0.0001)\n", "vc = v[:-1]+np.mean(np.diff(v))/2\n", "\n", "avgFv = np.zeros((3, 3, vc.size))\n", "stdFv = np.zeros((3, 3, vc.size))\n", "\n", "for jj in range(3):\n", " for ii, (v_l, v_r) in enumerate(zip(v[:-1],v[1:])):\n", " inds = np.bitwise_and(allv[jj] <= v_r, allv[jj] > v_l)\n", " if np.sum(inds)>0:\n", " for kk in range(3):\n", " avgFv[kk, jj, ii] = np.mean(allF[kk, inds])\n", " stdFv[kk, jj, ii] = np.std(allF[kk, inds])\n", " else:\n", " avgFv[:, jj, ii] = np.nan\n", " avgFv[:, jj, ii] = np.nan\n", " \n", "fig, ax = plt.subplots(1, 1)\n", "ax.plot(vc, 1e3*avgFv[2, 2], linewidth=0.75)\n", "ax.set_xlabel('$v_z/\\Gamma/k)$')\n", "ax.set_ylabel('$f/(\\hbar k \\Gamma)$')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, let's bin the final data and fit it the histogram to extract the temperature.\n", "\n", "In this cell, I have included the ability to fit with a two-component Gaussian, but a single component should be sufficient" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Counts')" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "vs = np.array([sol.v[2] for sol in sols])\n", "\n", "xb = np.arange(-0.1, 0.1, 0.005)\n", "fig, ax = plt.subplots(1, 1)\n", "ax.hist(vs[:, 1000::250].flatten(), bins=xb)\n", "x = xb[:-1] + np.diff(xb)/2\n", "y = np.histogram(vs[:, 1000::250].flatten(), bins=xb)[0]\n", "\n", "model = lmfit.models.GaussianModel(prefix='A_')# + lmfit.models.GaussianModel(prefix='B_')\n", "\n", "params = model.make_params()\n", "params['A_sigma'].value = 0.05\n", "#params['B_sigma'].value = 0.01\n", "\n", "ok = y>0\n", "result = model.fit(y[ok], params, x=x[ok], weights=1/np.sqrt(y[ok]))\n", "\n", "x_fit = np.linspace(-0.1, 0.1, 101)\n", "ax.plot(x_fit, result.eval(x=x_fit))\n", "ax.set_xlabel('$v/(\\Gamma/k)$')\n", "ax.set_ylabel('Counts')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Print the best fit model results:" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Temperature: 24.2 uK\n" ] }, { "data": { "text/html": [ "

Model

Model(gaussian, prefix='A_')

Fit Statistics

fitting methodleastsq
# function evals38
# data points32
# variables3
chi-square 123.315114
reduced chi-square 4.25224530
Akaike info crit. 49.1682265
Bayesian info crit. 53.5654342

Variables

name value standard error relative error initial value min max vary expression
A_amplitude 7.54346347 0.40047986 (5.31%) 1.0 -inf inf True
A_center 6.2493e-04 8.6274e-04 (138.05%) 0.0 -inf inf True
A_sigma 0.01622630 7.1807e-04 (4.43%) 0.05 0.00000000 inf True
A_fwhm 0.03821001 0.00169092 (4.43%) 0.11774100000000001 -inf inf False 2.3548200*A_sigma
A_height 185.464796 12.8180580 (6.91%) 7.978846 -inf inf False 0.3989423*A_amplitude/max(2.220446049250313e-16, A_sigma)
" ], "text/plain": [ "" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ "print('Temperature: %.1f uK'%(2*result.best_values['A_sigma']**2*mass*cts.hbar*atom.state[2].gamma/2/cts.k*1e6))\n", "result" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.7.6" } }, "nbformat": 4, "nbformat_minor": 4 }