{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# The idea of this notebook\n", " - demonstrate longitudinal matching of distribution types to arbitrary radio frequency (RF) buckets for a given\n", " 1. RMS bunch length $\\sigma_z^{RMS}$\n", " 2. longitudinal emittance $\\epsilon_z$ (corresponding to 4x RMS emittance in thermal case)\n", " - present different available distribution types (and how any new distribution type $\\psi(\\mathcal{H})$ can easily be implemented):\n", " 1. thermal (Gaussian-like)\n", " 2. $q$-Gaussian (for $q=3/5$, distribution encountered e.g. after LHC longitudinal blow-up)\n", " 3. parabolic\n", " 4. waterbag\n", " - explain the impact of different moment integrators for non-smooth distribution types (such as e.g. the waterbag)\n", " - show PyHEADTAIL's flexibility and simplicity for matching more complex RF buckets\n", " \n", "notebook created by Adrian Oeftiger" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# general imports" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from __future__ import division, print_function\n", "\n", "import numpy as np\n", "np.random.seed(42)\n", "\n", "from scipy.constants import m_p, c, e\n", "\n", "import matplotlib.pyplot as plt\n", "from matplotlib import cm\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# sets the PyHEADTAIL directory etc.\n", "try:\n", " from settings import *\n", "except:\n", " pass" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# PyHEADTAIL imports" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "PyHEADTAIL v1.12.4.7\n", "\n", "\n" ] } ], "source": [ "from PyHEADTAIL.particles.generators import RFBucketMatcher\n", "from PyHEADTAIL.trackers.rf_bucket import RFBucket" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Settings and Helper Functions\n", "\n", "We create a single harmonic RFBucket (parameters are comparable to the CERN Proton Synchrotron injection plateau) to play with. A short bunch length of $4\\sigma_\\tau = 140$ ns equivalent to a longitudinal emittance of $\\epsilon_z=0.764$ eVs will be used for the matching:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "rfb = RFBucket(100*2*np.pi, 2.5, m_p, e, [0.027], 0., [8], [24e3], [np.pi])\n", "\n", "sigma_z = 140e-9*0.91*c/4. # in [m]\n", "epsn_z = 0.764 # in [eVs]" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def plot(stat_dist_class, rfb=rfb, sigma_z=sigma_z, H0=None):\n", " '''Plot properties of stationary distribution class stat_dist_class\n", " for the given RF bucket and the bunch length (used for the guessed\n", " distribution Hamiltonian limit H0).\n", " Args:\n", " - stat_dist_class: Stationary Distribution class\n", " (e.g. rfbucket_matching.ThermalDistribution)\n", " - rfb: RFBucket instance\n", " - sigma_z: bunch length to be matched\n", " '''\n", " try:\n", " z_sfp = np.atleast_1d(rfb.z_sfp)\n", " H_sfp = rfb.hamiltonian(z_sfp, 0, make_convex=True)\n", " Hmax = max(H_sfp)\n", " stat_exp = stat_dist_class(\n", " lambda *args: rfb.hamiltonian(*args, make_convex=True), #always convex Hamiltonian\n", " Hmax=Hmax,\n", " )\n", " except TypeError:\n", " stat_exp = stat_dist_class\n", " \n", " if H0:\n", " stat_exp.H0 = H0\n", " else:\n", " stat_exp.H0 = rfb.guess_H0(sigma_z, from_variable='sigma')\n", "\n", " dpmax = rfb.dp_max(rfb.z_ufp_separatrix)\n", " zz = np.linspace(rfb.z_left, rfb.z_right, num=1000)\n", " Z, DP = np.meshgrid(zz, np.linspace(-dpmax*1.1, dpmax*1.1, num=500))\n", "\n", " fig, ax = plt.subplots(2, 2, figsize=(12, 8))\n", "\n", " plt.sca(ax[0, 0])\n", " plt.title('phase space distribution', fontsize=20)\n", " plt.contourf(Z, DP, stat_exp.function(Z, DP), 20, cmap=cm.hot_r)\n", " plt.colorbar().set_label(r'$\\psi(z, \\delta)$', fontsize=20)\n", " plt.plot(zz, rfb.separatrix(zz), c='purple', lw=2)\n", " plt.plot(zz, -rfb.separatrix(zz), c='purple', lw=2)\n", " plt.xlabel(r'$z$', fontsize=20)\n", " plt.ylabel(r'$\\delta$', fontsize=20)\n", "\n", " plt.sca(ax[0, 1])\n", " plt.title('Hamiltonian contours', fontsize=20)\n", " plt.contourf(Z, DP, stat_exp.H(Z, DP), 20, cmap=cm.coolwarm)\n", " plt.colorbar().set_label(r'$\\mathcal{H}(z,\\delta)$', fontsize=20)\n", " plt.plot(zz, rfb.separatrix(zz), c='purple', lw=2)\n", " plt.plot(zz, -rfb.separatrix(zz), c='purple', lw=2)\n", " plt.xlabel(r'$z$', fontsize=20)\n", " plt.ylabel(r'$\\delta$', fontsize=20)\n", "\n", " plt.sca(ax[1, 0])\n", " plt.title('line density', fontsize=20)\n", " plt.plot(zz, np.sum(stat_exp.function(Z, DP), axis=0), antialiased=False)\n", " plt.xlabel(r'$z$', fontsize=20)\n", " plt.ylabel(r'$\\lambda(z) = \\int\\; d\\delta \\; \\psi(z, \\delta)$', fontsize=20)\n", "\n", " plt.sca(ax[1, 1])\n", " plt.title('Hamiltonian distribution', fontsize=20)\n", " hhs = stat_exp.H(Z, DP).ravel()\n", " counts = stat_exp.function(Z, DP).ravel()\n", " perm = np.argsort(hhs)\n", " plt.plot(hhs[perm], counts[perm])\n", " plt.xlabel(r'$\\mathcal{H}$', fontsize=20)\n", " plt.ylabel(r'$\\psi(\\mathcal{H})$', fontsize=20)\n", " plt.ylim(-0.1, 1.1)\n", " plt.axvline(0, *plt.ylim(), color='purple', lw=2)\n", " plt.text(plt.xlim()[0]/15., np.mean(plt.ylim()), 'separatrix', color='purple', rotation=90)\n", "\n", " plt.tight_layout()\n", " \n", " return fig\n", "\n", "def plot_mp(z, dp, rfb=rfb):\n", " dpmax = rfb.dp_max(rfb.z_ufp_separatrix)\n", " zz = np.linspace(rfb.z_left, rfb.z_right, num=1000)\n", " Z, DP = np.meshgrid(zz, np.linspace(-dpmax*1.1, dpmax*1.1, num=100))\n", " H = rfb.hamiltonian(Z, DP)\n", " plt.contour(Z, DP, H, 20, cmap=cm.coolwarm_r)\n", " # plt.scatter(z, dp, alpha=0.6)\n", " my_cmap = cm.hot_r\n", " my_cmap.set_under('w',1)\n", " plt.hist2d(z, dp, bins=40, cmap=my_cmap)\n", " plt.plot(zz, rfb.separatrix(zz), c='purple', lw=2)\n", " plt.plot(zz, -rfb.separatrix(zz), c='purple', lw=2)\n", " plt.xlim(rfb.z_left, rfb.z_right)\n", " plt.ylim(-dpmax*1.1, dpmax*1.1)\n", " plt.colorbar().set_label('# macro-particles', fontsize=20)\n", " plt.xlabel(r'$z$', fontsize=20)\n", " plt.ylabel(r'$\\delta$', fontsize=20)\n", " plt.title('macro-particle generation', fontsize=20)\n", " return zz, Z, DP" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Let's go" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## A. Implemented Distribution Types in PyHEADTAIL\n", "\n", "Any distribution $\\psi=\\psi(\\mathcal{H})$ depending on the Hamiltonian of the entire system is stationary or \"matched\". The RF bucket's shape determines the Hamiltonian landscape $\\mathcal{H}$, which is separate from the distribution function $\\psi$ determining how many particles are sitting at certain Hamiltonian values. A certain (e.g. single harmonic) RF bucket can thus be filled with different distribution types. The ones implemented in PyHEADTAIL are presented in the following." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 1. Thermal (Gaussian-like) Distribution \n", "\n", "The thermal Boltzmann distribution $\\psi(\\mathcal{H}) \\propto \\exp(-\\mathcal{H}/\\mathcal{H}_0)$ is an often used longitudinal distribution type and is the default for PyHEADTAIL's `RFBucket` matching. In a linear \"bucket\" (i.e. in the quadratic harmonic oscillator Hamiltonian case) the thermal distribution yields a bi-Gaussian macro-particle distribution.\n", "\n", "In the following plots you can see the previously defined single-harmonic RF bucket with\n", "- **top left**: the analytical $(z, \\delta=\\frac{p-p_0}{p_0}|_{RMS})$ phase space distribution function for a bunch length of $140$ ns within the purple separatrices: the darker the distribution colour, the denser the probability distribution function;\n", "- **top right**: the Hamiltonian geometry and the separatrix value at $\\mathcal{H}=0$ according to PyHEADTAIL's convention -- note that PyHEADTAIL inverts the RF Hamiltonian to have positive values inside the separatrix and negative values outside. The corresponding internal coordinate transformation follows $\\mathcal{H}\\mapsto \\mathcal{H}_{separatrix} - \\mathcal{H}$ (simplifying the particle generation);\n", "- **bottom left**: the spatial projection of the phase space distribution yielding the line density (in arbitrary units);\n", "- **bottom right**: the distribution function in terms of the Hamiltonian in PyHEADTAIL's convention. Note that the distribution function vanishes outside the separatrix, $\\psi(\\mathcal{H}\\leq 0) \\equiv 0$.\n", "\n", "For the `ThermalDistribution`, the distribution function is non-zero within the entire RF bucket area and particles can become generated everywhere but with an exponentially increasing probability in the centre of the single harmonic bucket." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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lZ5GWac3jw2mRFQsrFtgXWRAZoeWP535dS4urKKPFlYNocRV7lFLsmXeQRc+t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\nI6edBmecAXfcAauvnjpNcdV9y5WkzwNPAdcDF7ZOj4iHgVuAC6qdyeqPW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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from PyHEADTAIL.particles.rfbucket_matching import ThermalDistribution\n", "\n", "plot(ThermalDistribution);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can now use the `RFBucketMatcher` with the `sigma_z` keyword argument to \n", "1. semi-analytically compute the $\\mathcal{H}_0$ value of the `ThermalDistribution` which provides the chosen bunch length of $\\sigma_z^{RMS} = 140$ ns, and\n", "2. generate $10^5$ randomly distributed macro-particle locations in $(z,\\delta)$ phase space, which follow the thermal distribution function:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "*** Maximum RMS bunch length 12.3783736052m.\n", "... distance to target bunch length: -9.4536e+00\n", "... distance to target bunch length: 2.4885e+00\n", "... distance to target bunch length: 2.2745e+00\n", "... distance to target bunch length: 3.7583e-01\n", "... distance to target bunch length: -7.3492e-01\n", "... distance to target bunch length: 5.6593e-02\n", "... distance to target bunch length: -1.0654e-03\n", "... distance to target bunch length: 1.3870e-05\n", "... distance to target bunch length: -4.5420e-05\n", "--> Bunch length: 9.5484036574\n", "--> Emittance: 0.76406973485\n" ] } ], "source": [ "rfb_matcher = RFBucketMatcher(rfb, ThermalDistribution, sigma_z=sigma_z)\n", "rfb_matcher_thermal = rfb_matcher\n", "\n", "z, dp, _, _ = rfb_matcher.generate(int(1e5))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the same way, we can specify a target longitudinal emittance to which the `RFBucketMatcher` should converge by providing the `epsn_z` keyword argument instead of `sigma_z`:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "*** Maximum RMS emittance 1.20450633967eV s.\n", "... distance to target emittance: -7.56e-01\n", "... distance to target emittance: 2.95e-01\n", "... distance to target emittance: 2.35e-01\n", "... distance to target emittance: 2.21e-02\n", "... distance to target emittance: -1.53e-02\n", "... distance to target emittance: 6.63e-04\n", "... distance to target emittance: 1.89e-05\n", "... distance to target emittance: -8.40e-10\n", "... distance to target emittance: 4.22e-06\n", "--> Emittance: 0.76399999916\n", "--> Bunch length:9.54790100649\n" ] } ], "source": [ "rfb_matcher = RFBucketMatcher(rfb, ThermalDistribution, epsn_z=epsn_z)\n", "\n", "z, dp, _, _ = rfb_matcher.generate(int(1e5))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The Monte-Carlo generated random numbers for the phase space location of the macro-particles indeed show a (slightly noisy) thermal distribution:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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wmsgxmSxQUxGmqbaciI/KaTbvQrHITCpFOpMhHA5TEY8Ti8WWpeaam0+yL8nI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egRnR0PXkd5Wxn9uwa5++N3YbkIwL7rWIl6QA4QQqhCiDohREuhV7HHO2GM3iF0P9/NT2+4FyRc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\nLlYpK1DyzpabjpRh09YbQ1UEi/N4uKSUDA4Okkqnc2bapcZSPHztg3Tu7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t6VXfA0kUjQ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\naOU8QIvE5+AAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "zz, Z, DP = plot_mp(z, dp)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If you specify a too large target value for either `sigma_z` or `epsn_z`, the `RFBucketMatcher` will discard your choice and automatically choose the largest possible value:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "*** PyHEADTAIL WARNING! Given RMS bunch length does not fit into bucket. Using (maximum) full bucket RMS bunch length 12.2545898701m instead.\n", "*** Maximum RMS bunch length 12.3783736062m.\n", "... distance to target bunch length: -1.2132e+01\n", "... distance to target bunch length: -2.1772e-01\n", "*** PyHEADTAIL WARNING! Failed to converge with Brent method, continuing with Newton-Raphson method.\n", "... distance to target bunch length: -1.4047e+00\n", "... distance to target bunch length: -1.4043e+00\n", "... distance to target bunch length: -5.9178e-01\n", "... distance to target bunch length: -3.4994e-01\n", "... distance to target bunch length: -1.7077e-01\n", "... distance to target bunch length: -8.0510e-02\n", "... distance to target bunch length: -3.1001e-02\n", "... distance to target bunch length: -8.6550e-03\n", "... distance to target bunch length: -1.2846e-03\n", "... distance to target bunch length: -6.3163e-05\n", "... distance to target bunch length: -4.8726e-07\n", "... distance to target bunch length: -1.8642e-10\n", "--> Bunch length: 12.2545898701\n", "--> Emittance: 1.18384800455\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/afs/cern.ch/user/o/oeftiger/anaconda/lib/python2.7/site-packages/scipy/integrate/quadpack.py:352: IntegrationWarning: The integral is probably divergent, or slowly convergent.\n", " warnings.warn(msg, IntegrationWarning)\n" ] } ], "source": [ "rfb_matcher = RFBucketMatcher(rfb, ThermalDistribution, sigma_z=float(np.diff(rfb.interval)))\n", "\n", "z, dp, _, _ = rfb_matcher.generate(int(1e5))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is interesting to observe the influence of the RF bucket non-linearities onto the matched distribution here. The stationary `ThermalDistribution` slightly differs from a Gaussian: the increasing non-linearities towards the separatrix suppress the probability distribution function compared to an exact Gaussian around the tails. Correspondingly, the profile widens overall to reach the specified RMS bunch length. Comparing to an exact Gaussian profile of the same $\\sigma_z^{RMS}$, this effect renders the matched stationary thermal distribution wider around the core and suppresses the tails (which reach zero at the unstable fix point of the RF bucket anyway while the exact Gaussian would reach infinity):" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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zRIQBAwYwd+5c77jKyjXPmzePgQP9oz18SzAvWbKEjIwMkpKS6NSpE48++ijg\n1J755S9/SWpqKq1bt+bcc8+N3vilqkpe1nYDpgClkb5OiDKpEQP4lhUeN64W5YsjVxY53H3Z+dll\n5ZW/nVPhd1AbovX/oqqSwW+99Za2b99e9+zZo2PHjtUrr7zSe2xeXp6uX79eVVU/+eQTbdeunS5a\ntEhVVbds2aKJiYn64osvanFxse7bt08/+ugjVVUdM2aM3nfffUFlmjlzpnbr1q1K2Ssr1zx37lw9\n55xz/Mb7lmBu3769vvfee6qqWlhY6D1u0qRJOmHCBC0uLtbi4mLvmLqGMJdMNozoIVBKmJzYTwSZ\nlZHFnG/nlDWUn/CPILmFgeNxxqYEthoDjQ82tjKqKhl84YUXcuWVVzJo0CAKCwv55JOynLznnXee\nd79Pnz4MHz6clStXMnToUJ5//nkuvPBC73xJq1ataNWqlXe8VmIV7N27169iJDhVJQ8dOsSRI0fY\nuHEjnTt3rna55kA0bdqU/Px8+vTpQ3JysveYpk2bsnPnTrZs2UKPHj0YMGBAleeqL6LFRWYYNacR\nuYrKU+EhHoNzMdUpGXzDDTeQn5/PmDFjSE1N9bavWbOG888/nxNOOIGUlBRmz57tLZe8bds2unev\nWfmq1q1bs3PnTr+27du3s3fvXn744QevcgqlXHN5/u///o8lS5aQnp5OZmYm//mPE5lx55130rNn\nTy666CJ69OjBww8/XKN7qAvMgjEaHjH4EA2FsSlj/RVLHVkxoVofNbFWAtGlS5dKSwaXlJQwbtw4\nRo0axdNPP82YMWPo0aMHAFdffTW33HILS5cupWnTptx2223eB3yXLl1Yu3ZtwHNWVWBr0KBB3Hzz\nzbz//vuceeaZ3nZfq6eqcs0tW7bk+++/947ftWuX3zV+8pOfsGjRIkpKSnjyyScZNmwY33zzDccf\nfzwzZsxgxowZ5OfnM2jQIM466ywGDYp0spXQMQvGaNjMnk1uYW5Q900sIiIUFBR4twc2PMDsnBzv\nFmsKuKqSwQ899BDx8fHMnTuXO++8k1GjRnkrSX733XekpqbStGlT1q5dy/PPP+8979VXX83bb7/N\nyy+/THFxMfv27ePjjz8GnLLGnsn2QJx00kmMHz+e4cOH8/bbb3vl+ve//+0dU1W55h//+Mfk5+fz\n8ccfc+TIEb/QiWPHjvHcc89RVFREfHw8iYmJxMc7seqvvfYamzdvRlVJSkoiPj7e2xd1VDVJU9sN\nOA0YHem3cV8+AAAgAElEQVTrhChTTee1jHpmFvht2fnZflusT/J7+rLz5/htoDqLcToLajzZH83/\nFwUFBTpixAht3769pqamav/+/XX58uW6bt06TU1N9U6Ml5SU6IABA/Shhx5SVdVXXnlFu3btqomJ\nifrLX/5Sb775Zh05cqT3vKtWrdKzzz5bk5KStHPnzvrss8+qquqmTZv0tNNO05SUFL3sssuCyvXE\nE09onz59tHnz5tqhQwc977zz9OWXX9bS0lJVVX366ae1Xbt2mpKSoiNHjtQRI0b4LR744x//qG3a\ntNEuXbroggULNC4uTr/88ks9evSoDh48WFNTUzUpKUn79u2r//rXv1RV9c9//rOmp6dry5YttVOn\nTvrggw+G95ddTajGJH+10/XHEpauv+EyWwRPxuQJzC6XCLKArIz7gxxZVUXL6EzXX1lfWSJPxxU1\ni/HUJp2/pes3QqE66fpDcpGJSKaIvC4ie0TkmIiUlNtK3VxihhF+qnD9ZGVk1ZEg0UFWxli/uJ8J\nNN7FDkZ0Uu1JfhH5BbAYRyltAzYCxQGG2iuQEXEqWi9GBSxHmVHPhLKKbApOtuKh6hb3Mow6o0rr\nJXZS8teGCun8DaMeCcVFdirwkikXw2hAxNiKMqNhEYqCOQRUL0LIMMJJhZxjjtunseQdqy7Z+blk\n52ebW8yIGkJxkb0N9I+UIIZRE0zJOPjOR4kIs3w7c3KY4O7aKjGjLgnFgpkE9BCR+6SqMFfDCBcB\nMiYblZOdP4cJKM5ybs9misWoe0KxYLKAfCAbuNZNrV8YaKCqXhcG2QzDCBOzGG/K2ahzQrFgRgOZ\n7n46cCkwJshmGLUnUMZkIyDmKox9fvvb3/Lggw9WOS4zM5NnnnmmDiSqmlAsmJqlHTWMMJKdnw3k\n2gO1CrLzc5mQMduN7neYVcn4QNSFJ9zmhAIzb948nnnmGVatWuVtmzlzZrWOFZE6+dtVh2pbMKq6\npbpbBOU1GituUksPFmRZkcgoXY3gFp0UFweKH2881w8nlk3ZiDpEhNkifhmCPRmEjerhUTaxkD4m\nPT2dGTNm8KMf/YjExESuv/56du/ezcUXX0xycjIXXnghhYXOdPCVV15Jhw4dSElJ4bzzzmPDhg3e\n8xw+fJg77riD9PR0UlJSGDhwID/88ANbtmwhLi6Ov/71r3Tt2pWf/exnqCoPPvgg6enptGvXjtGj\nR3PgwIGgMk6ZMoUrrriC4cOHk5SUxJlnnulX+GzatGn07NmTpKQkMjIyWLRokbdv3rx5DBgwgNtv\nv502bdowfPhwfvvb37J69WoSExO9RdDGjBnDfffd5z1u8eLFnHbaaSQnJ9OzZ0+/TM2+/PWvf6V3\n7960atWKwYMH880333j7brvtNtq1a0dycjI/+tGPyM/PD/GvUzlBFYyInCAiLWt64toebzR2ylZA\nTfC+8aZ5e81FFpisjKzKfzcNMPBSRPj73//O8uXL+eKLL3jttde4+OKLmTZtGnv27KG0tJQnnngC\ngEsuuYTNmzfzv//9jzPOOIPf/OY33vP8/ve/58MPP2T16tXs37+f6dOn+7mS3n33XT7//HPefPNN\n5s6dy/z588nLy+Orr77iu+++46abbqpUzldffZVhw4bx7bffcvXVV3PppZdSUuKkZuzZsyfvvfce\nBw4cICsri2uuuYbdu3d7j127di09evRgz549LFiwgFmzZtG/f38OHjzI/v37vb8Hj7xr165l9OjR\nPProoxQVFfHuu+/StWvXCjItXryYqVOn8o9//IO9e/cycOBARowYAcDSpUtZtWoVmzZtoqioiJdf\nfpnWrVvX5E8UlMosmF3AHbU4d22PNxopgeYKzCVWc2LBirn55ptp27YtaWlpDBw4kP79+/PjH/+Y\nZs2acdlll/Hhhx8CcO2119KyZUuaNGlCVlYWH3/8MQcPHqS0tJS5c+fy+OOP06FDB+Li4ujXrx9N\nmzb1XmPKlCk0b96chIQEnnvuOa+107JlS6ZOncqLL77orTMTiJ/85Cf8+te/Jj4+nttvv50jR46w\nevVqAK644grat28PwLBhw+jVqxdr1qzxHpuWlsaNN95IXFwcCQkJVc5NPfPMM1x//fVccMEF3uNP\nOumkCuNmzZrF5MmTOemkk4iLi2Py5Ml89NFHfPPNNzRt2pSDBw/y2WefUVpaykknneSVMVyYi8yI\nagI9HM16qSUN0Ipp166dd7958+Z+nxMSEvjuu+8oLS1l0qRJ9OzZk+TkZLp16wbA3r172bt3L0eO\nHPFWugxE586dvfs7d+70swi6dOlCcXExu3fv5rnnniMxMZHExER+8YtfeMd06tTJuy8idOrUyVtW\n+dlnn+X000/3lnxev369X+lk32tXh+3bt1d6Lx62bt3Krbfe6r2ux0IpKCjg/PPP56abbuLGG2+k\nXbt2jB8/noMHD4YkR1VUpWDGiMg7NdnCKqXReGiAD7+GQCxYMb4EesN//vnnefXVV1m+fDlFRUV8\n/fXX3rFt2rQhISGBzZs3Bz2nr7ssLS2NLVu2eD9/8803HHfccbRr147f/OY3HDx4kIMHD/L66697\nx2zbts27X1payvbt20lLS2Pr1q2MGzeOp59+mv379/Ptt99y6qmn+t1D+VVfVa0C69y5c6X34qFL\nly7k5OTw7bfferdDhw7Rr18/wLEM161bx4YNG9i4cSPTp0+v8pyhUJWCSceJfanJBk51JMOoNWa1\n1AwnP1kA92IMKvKDBw/SrFkzWrVqxaFDh7j77ru9fXFxcVx33XXcfvvt7Ny5k5KSElavXs3Ro0cD\nnmvEiBH8+c9/ZsuWLXz33XfcfffdDB8+nLi44I/M999/n3/84x8UFxfz2GOPkZCQQL9+/Th06BAi\nQps2bbyuuvXr11d6L+3bt2f79u0cO3bM2+apEglw/fXXM3fuXN555x1KS0vZsWMHX3zxRYXzTJgw\ngYceesi72MEz1wKwbt061qxZw7Fjx2jRogUJCQlhL70c9LelqnFh2LKrK4iIxIvIhyLyT/dzKxFZ\nJiIbReQtEUnxGTtZRDaJyOcicpFP+5ki8qnb93hNfylGPREkqaUHp8BW4yoqVhvKK5ZYiuT3fcP3\nTH6PGjWKrl270rFjR0499VT69+/vN27GjBn06dOHs846i9atWzN58mTvA7u8xXDdddcxcuRIzj33\nXLp3706LFi148sknK5Vn6NChvPTSS7Rq1YrnnnuOv//978THx9O7d2/uuOMO+vfvT/v27Vm/fj3n\nnHNOBfl9GTRoEBkZGbRv354TTjihwrizzjqLuXPnctttt5GSkkJmZqbf6jAPl156KXfddRfDhw8n\nOTmZPn36sHTpUgAOHDjAuHHjaNWqFenp6bRp04Y777yzWr//6hI1JZNF5HbgTCBRVYeIyCPAXlV9\nRETuAlJVdZKI9AaeB84COuIk4eylqioia4GbVHWtiCwBnlDVNwNcy0omRyOugpmdk4OzeiyQWycS\nZYgjdd667vPvL69gsjJuQD3llD34ZEcoXzLZAi2rT3Z2Nps3b+Zvf/tbfYtSZ4S9ZHKkEJFOwCVA\nLmVutSHAfHd/Pk5qGoChwAuqeswN6twMnC0iHXCU01p33LM+xxgNjFibM2iIeFwykdxihVi6l3AS\nFQoG+DNwJ+C7BrCdqnoWiu8GPMtG0oDtPuO241gy5dt3uO1GQyAG5wTqm4DzVpbPLSJEU3qWaCKU\nXGQRQUR+CexR1Q9FJDPQGNf9FdZXhClTpnj3MzMzycwMeGmjHvDMFXhcPDbBHx6cPG7lGD/elE4Y\nyMqyucFA1LuCAX4KDBGRS4AEIElE/gbsFpH2qrrLdX/tccfvAHwXjXfCsVx2uPu+7TuCXdRXwRj1\nTBXWS3a+JbesKVkZYyuuIps92yxGo06odwWjqncDdwOIyHnA71V1pDvJPxp42P3pSd7zKvC8iPwJ\nxwXWC1jrWjkHRORsYC0wEniibu/GqC6+7gTfyP3y1osRPrIysrhf76/YYVaMESHqXcEEwOMKmwYs\nFJHrgS3AMABV3SAiC4ENQDEw0WdJ2ERgHtAcWBJoBZkRTahfOnmH2ZQPnzLrpXaU/f5uCK7Yc3Lq\nVCajcRBVCkZVVwIr3f39wM+CjHsIeChA+/tAn0jKaESegHMFRpjwncr0rRWTE1NxMkZ0UCMFI85r\nUHugSaB+Va0Y8WMYVWBLk+sfWwllhJOQFIyIDAMmARkEUS44r0jhzTdgxCQV3WMVMfdY5JiAf8VL\nHTfO5mKMoFQnsLI81VYwInIj8CRwDPg3zgqtQKXXLOLICBlf6yUrI4vs/Dn1KE1sY8u/jboiFAvm\nNpylwv1V9esIyWM0EqqqD28Pv8hQMT/Z7GpZkoZRE0KJ5O8ILDTlYoQbm3uJIiw+xggjoSiY7UCz\nSAliNCLsIRYVeKwZU/BGpAhFwcwHLhGRpEgJYxhGZKmW69FeAIwwEYqCmQa8DywTkUwRSYyQTEYj\nwvP2HLQwlhFR7HduRJJqKxhVLQaeBk4ClgOFIlJSbisVkZJICWvEANXIO2bUPRZkaUSCaisYEbkU\neANIArYCq4FV5bZ33c0wqsTXejHqDl83WVCXmbnJjDAQyjLlKcD3wCWq+l5kxDFimmo8tJwH3g2R\nl6WRE7RWjCkWI4yEomBOBP5mysUIB+aSiT5ExD8+KacsP5lVbDRqQiiT/PuAHyIliBHjBHkzNvdY\nNKFMQIFxPpspFqPmhKJgXgEuFJFgOcgMo1ZY9H70YVH+Rm0IRcHcC3wLvCIi3SIkj9EYmO2bd8yU\nSjRgJRKMSCDV9a2KyNc4GZTTcOzmQqAo0FhV7R4uASOBiKj5lOuQ8u6x2bPdtPDB/gZ13Vcf14yO\n+yhzURYAaV6F72u5TCDH5mCMGmVTDsWCEZxMyt8A24CD7vHlNysoYQTH0sFHFdWxIKtKTGoYwQgl\n0DJdVbu5PyvbzH1mlGHLXhsUlp/MCCdRVTLZiC3KL3udAGC13xsm48eb9WmETCguMsMICUe5lF/y\nqmTnz7FJ5SgimJvMrBijtoSsYEQkQUQGishVIjIq0BYJQY3Yw2JgopOgfxdzdxohEpKLTESuBx4B\nUisZpsCztRHKiD3sbTi68S1TbUvHjXARSrLLwcAcnPWMv3ebFwP3AG+5n18BrgungEYDxSL3GxxZ\nGWMrKBd7MTBqQygusjuA/cAAVf2T2/ahqk5V1cE4GQp/DXwZigCuy22NiHwkIhtEZKrb3kpElonI\nRhF5S0RSfI6ZLCKbRORzEbnIp/1MEfnU7Xs8FDmMyBHsIWVvyg0Qc5MZIRCKgjkD+KeqHgh0vKo+\nA/wLJ+K/2qjqEeB8VT0N+BFwvoicA0wClqnqiTj1ZyYBiEhv4CqgNzAY+Is4UXsAM4HrVbUX0Mu1\nuoy6xqyXmMISkxo1JRQF0xLHPebhCE5tGF/WAX1DFUJVv3d3mwLxOClphuCUacb9eam7PxR4QVWP\nqeoWYDNwtoh0ABJVda077lmfY4woIysjq75FMGqKWTFGNQlFwewG2vp83oVT3dKXJGoQWyMicSLy\nkXuNFaqaD7RT1d0+127n7qcB230O3w50DNC+w2036pJyDx9f95i5xBoWfhanxcAYNSAUZZCPv0J5\nFxguIueq6rsi0gcY5o4LCVUtBU4TkWRgqYicX65fRSSsyZCmTJni3c/MzCQzMzOcpzeCUKZkrKhY\ntOKrWLLzc8nKCDDIAi9jnry8PPLy8mp1jlAUzBLgMRFJU9UCYDqOQskTkX1Aa3fcgzUVRlWLROR1\n4Exgt4i0V9VdrvtrjztsB9DZ57BOOJbLDnfft31HsGv5KhgjMpjv3jAaLuVfvLOzQw+ODiWbchMc\nJbJfVY+6bf1wJvV7Al8Dj6nq0pAEEGkDFKtqoYg0B5YC2cDPgX2q+rCITAJSVHWSO8n/PM5cT0fg\nbaCna+WsAW4B1gKvA0+o6psBrmnZlCNBOfeY5OQQPZmGLZtyKH2+VkxWRpm1WSH1D1btsrEQ0WzK\n7qT6Lo9ycdv+o6q/VNWTVfXiUJWLSwfgHXcOZg3OSrXlwDScAmcbgUHuZ1R1A7AQ2AC8AUz00RYT\ngVxgE7A5kHIx6ghzn8QMTlofdbey1D+zGFevchnRTygWzArgPVW9L7IiRR6zYCJAkJovwaPDY/PN\nv377wnte31oxWRn3e9utVkzjJNL1YM7GWUJsGCFjMTANm2B/P6sVY1RGKApmM/6T64YRGHOPxRy+\nFqiljzGqSyiryOYAD4hIV1XdGimBjAZI0Mh9S8nfkClTKgLcH3ygLVk2ghCKgnkNuBB4T0QewVmp\ntYsATl1V/SY84hkNjiAPGguyNIzGRygKxjeJZWWJJBWbq2k8BLFecgttziWWmcBsv8l+wwhEKAqm\nujVebElJY8Wsl8aLucmMAFRbwajqmAjKYTRExo9ndk6O9+MEn32wOZhYxEkd47wwOFZMThVHGI2Z\nkBNTGkZFPAF3/m+wWRlVxWwYDYWK+ckCWKVmxRjlCGWZsmGUUUnWZKPxYPnmjMqotgUjInOp+nW0\nFDgAfIaT8mVXLWQzDCNKyMoYW71gWbNiDB9CcZGNDvHcT4nIfar6SIjHGQ0Ms14aH0HdZIbhQygK\npifwKDAAeAynPLKnENg5wO+AVcBU4DTgPmCqiGxU1UXhFNqoZ6ooiWwPntgkmBUjOTn+WZZ9FntY\nnrLGTShzMEOBgcAZqvqQqq5U1c/dn38EzgDOBc5R1Tk4SucIcFPYpTaihkA+eMs71jgo+zsHyrJs\nisUITcGMA15W1e2BOlV1G/AybqlCN5r/NeD02gppRBFVWC9GbONrnVp+MqMqQlEw6UBhFWOKgO4+\nn7cAiaGJZDQYbDK3UZKVMbZKN6hF+RsQmoLZh5OLrDIudMd5SMFROkYsEMR6KY/NwTROzIoxyhOK\ngnkFOENEnhORLr4dItJVRJ7HcYe94tN1Bk51SSOGMfeYEQirFWOEsoosC2eSfwQwTER2ULaKrBOO\nsvoIN6+3iKQBxcDfwimwUbeIlBWwq1CPPadimhCzXgzD8FBtC0ZVi3CWKGcBW4EuwFnuz63AFOCn\n7jhUtUBV+6vqzHALbdQ16q4M8t08NdpNqTR2fC3YCm6yarpVjdgkpFxkqnoE+APwBxFJApKAA6p6\nIBLCGdFJIF+7KZnGiSehqQVeGoGocS4yVT2gqttNucQ+tiLICAWb7Dc8hKxgRKSliIwUkUdF5BkR\n+ZOIXCMiLSMhoBFd2MPDCEbQxR7mJmu0hKRgROQXOPMt84HbgGtxUsQ8C2wVkV+FXUKjXrGVQEZl\nZGVkBWy3FxEDQlAwInIG8H9AMrAAuA64BLje/ZwCvCwiZ4YqhIh0FpEVIpIvIutF5Ba3vZWILBOR\njSLyloik+BwzWUQ2icjnInKRT/uZIvKp21dZaWcjRHwfGtn5ubY82aiAWTGGL6FYMPe4P89V1VGq\nOk9V31TVuao6CmeFme+4UDgG3KaqGUA/4EYROQWYBCxT1ROB5e5nRKQ3cBXQGxgM/EXK1tPOBK5X\n1V5ALxEZXAN5DKhWWhirWmkEm9y3WjFGKApmIE4ustWBOlV1DU4usnNCFUJVd6nqR+7+dzj1ZDoC\nQ3Dccbg/L3X3hwIvqOoxVd0CbAbOFpEOQKKqrnXHPetzjFELzOVhVIdKV5KZFdPoCEXBJAPfVDFm\nmzuuxohIOk5GgDVAO1Xd7XZ5gjoB0gDfpJvbcRRS+fYdbrsRKtVMahnMB280LoLmJ7N8dY2aUOJg\ndgJ9qxhzpjuuRojI8TjzPLeq6kHfKHJVVREJWw7wKVOmePczMzPJzMwM16kNwwiGVbxsMOTl5ZGX\nl1erc0h1CwKJyNPAb3HmWB5R1RKfvnic1WTTgVmqOjFkQUSa4KT3f0NVH3PbPgcyVXWX6/5aoaon\ni8gkAFWd5o57k7IMAytU9RS3fQRwnqpOKHcttUJIleBjvczOyWGCG7Ff0XoZCwjBa380lL5okyd2\n7sP7f+ZrEZuCaZCICKoqVY8sIxQL5kGc+Yw/AuNEZBWOtdIeZ96lG7DLHRcS7gT9M8AGj3JxeRWn\nVPPD7s9FPu3Pi8ifcFxgvYC1rpVzQETOBtYCI4EnQpXHMIzw4PFC+C13z8lhAlbtsjFQbQsGQES6\n4XxXAqXtXwZMUNWvQxZC5BzgXeATyl6HJuMoiYU4+c62AMNUtdA95m6cpdLFOC61pW77mcA8oDmw\nRFVvCXA9s2CCUW7uRXJyKP+G6p8WJLremGPlzb+h34dj7RaQlXG/t803I8QEckzBNDBqYsGEpGB8\nLtQJZyI+GafeywequiPkE9UTpmAqoRoKxp/oeKDVri/a5GnY91HmSi0A0rwvI/4ph3IYb/+DDYpI\nu8i8uGWTA5ZONhow5VeOzZ4dMCW/YRhGdQglkr9URO6vYsw9IlJS2RjDMGKb8suVPRaNpfJvfNQ4\nm3IQxN2MhkYg68UwDKMWhFvBpAJHwnx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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "analytical_res = np.sum(rfb_matcher.psi_object.function(Z, DP), axis=0)\n", "n, _, _ = plt.hist(z, bins=40, label='macro-particles')\n", "plt.plot(zz, analytical_res * n.max() / analytical_res.max(), \n", " antialiased=False, color='red', alpha=0.6, lw=2, \n", " label='analytic thermal')\n", "sz = rfb_matcher._compute_sigma(rfb, rfb_matcher.psi)\n", "plt.plot(zz, np.exp(-zz**2/(2*sz**2)) * n.max(), \n", " antialiased=False, color='lightgreen', alpha=0.9, lw=2, ls='--',\n", " label='exact Gauss')\n", "plt.xlim(-40, 50)\n", "plt.ylim(0, 7000)\n", "legend = plt.legend(bbox_to_anchor=(1.03, 1), title=r'equal $\\sigma_z^{RMS}$:');\n", "plt.setp(legend.get_title(), fontsize=20)\n", "plt.xlabel(r'$z$', fontsize=20)\n", "plt.ylabel('histogram [n_mp]', fontsize=20);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 2. $q$-Gaussian Distribution\n", "\n", "The `QGaussianDistribution` for $q=3/5$ follows $\\psi(\\mathcal{H}) \\propto (1 - \\mathcal{H}/\\mathcal{H}_0)^2$ and resembles the profiles measured after the longitudinal blow-up in the LHC. The line density is wider around the core and features less far-reaching tails compared to the `ThermalDistribution`.\n", "\n", "The distribution function reaches zero already within the bucket area at finite distance to the separatrix, as the lower right plot shows:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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2Ha5tTbvLzyAj25rHh9MiKx5WLLAvssAdoRWMF35RS4urGKPFlYNocRV/lFLs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\nMFzS88DvgL9GuIOXdYw/MVbKA1tYDdgKeCYipgNIuhLYDVhQXEXEv0vWf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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from PyHEADTAIL.particles.rfbucket_matching import QGaussianDistribution\n", "\n", "plot(QGaussianDistribution, H0=122.135628109);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The iterative matching runs slower for the `QGaussianDistribution` when the default moment integrator is used: the \"quad\" integrator from `PyHEADTAIL.cobra_functions.pdf_integrators_2d` is based on the iteratively refining `scipy.integrate.dblquad` function allowing for very accurate 2D integrals. The drawback of this integrator is bad convergency for non-smooth integrands, which is the case for our clipped distribution function (the derivative $\\partial\\psi/\\partial\\mathcal{H}$ is discontinuous). \n", "\n", "We can speed up the semi-analytic $\\mathcal{H}_0$ computation by using the non-refining \"cumtrapz\" integrator (which is less accurate than \"quad\" but still very good and, most of all, insensitive to discontinuities). **This can be achieved by changing `RFBucketMatcher.integrationmethod` from \"quad\" to \"cumtrapz\"**:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "*** Maximum RMS bunch length 17.0887097664m.\n", "... distance to target bunch length: -9.5484e+00\n", "... distance to target bunch length: 6.3818e+00\n", "... distance to target bunch length: 2.9760e+00\n", "... distance to target bunch length: -3.5767e+00\n", "... distance to target bunch length: -4.0670e-01\n", "... distance to target bunch length: -3.1406e-02\n", "... distance to target bunch length: 5.4500e-04\n", "... distance to target bunch length: -1.2376e-06\n", "... distance to target bunch length: 1.3058e-04\n", "--> Bunch length: 9.54838854972\n", "--> Emittance: 0.779642492249\n" ] } ], "source": [ "rfb_matcher = RFBucketMatcher(rfb, QGaussianDistribution, sigma_z=sigma_z)\n", "rfb_matcher_qGauss = rfb_matcher\n", "\n", "rfb_matcher.integrationmethod = 'cumtrapz'\n", "\n", "z, dp, _, _ = rfb_matcher.generate(int(1e5))\n", "z_s, dp_s = z, dp" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Again, obviously we can also match for the longitudinal emittance instead of the bunch length:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "*** Maximum RMS emittance 1.95957084113eV s.\n", "... distance to target emittance: -7.62e-01\n", "... distance to target emittance: 3.91e-01\n", "... distance to target emittance: -4.75e-02\n", "... distance to target emittance: -1.41e-03\n", "... distance to target emittance: 1.44e-05\n", "... distance to target emittance: -6.12e-09\n", "--> Emittance: 0.763999993877\n", "--> Bunch length:9.43572677714\n" ] } ], "source": [ "rfb_matcher = RFBucketMatcher(rfb, QGaussianDistribution, epsn_z=epsn_z)\n", "\n", "rfb_matcher.integrationmethod = 'cumtrapz'\n", "\n", "z, dp, _, _ = rfb_matcher.generate(int(1e5))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Due to the different distribution type, the relation between the matched RMS bunch length and the longitudinal emittance changes for non-linear RF buckets, which is why the two parameters vary between the above two matching approaches.\n", "\n", "The attentive reader may have noticed that we specified a `H0` value for the above analytical plots. To reach the same bunch length as the `ThermalDistribution`, the corresponding `H0` value is quite different (a detail of minor importance):" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "thermal H0: 36.1934174669\n", "q-Gaussian H0: 122.135605175\n", "for the same bunch length 9.5484036574 (thermal) vs. 9.54838854972 (q-Gaussian)!\n" ] } ], "source": [ "print (\"thermal H0:\", rfb_matcher_thermal.psi_object.H0)\n", "print (\"q-Gaussian H0:\", rfb_matcher_qGauss.psi_object.H0)\n", "print (\"for the same bunch length\", \n", " rfb_matcher_thermal._compute_sigma(\n", " rfb, rfb_matcher_thermal.psi_object), \n", " \"(thermal) vs. \",\n", " rfb_matcher_qGauss._compute_sigma(\n", " rfb, rfb_matcher_qGauss.psi_object), \n", " \"(q-Gaussian)!\",\n", " )" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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kGLm8xVRMZyZuEE8YJNMmmZxFPm9R0JWxwlvf0LoiRLSmxLwXKBPRiwIraaxQ\njKlZkyNnchw+k2NwTGdrf4A7tlSyefXSUlR01uL7Rwocv2hw23ofD2z3URN2m+Al+89KDpyz2LJK\ncM9GjUoHiyjTgpODyipqXQfs7H3BIqoYmbzk+KBkJq3UNW21zvsHs2mL82M6AuhvdVcRGqbFxIyS\ngOpsAnLb5wAl/aRSKeKJBJZlUV1VRbiqaklpYQ7paJqrP7zK4NMDjB4eYfJklHxiEbIRUBEJUFlX\ngS/kQ/NpeLweNK+GZVjoOR0jY1BI6+RmcxhZ070oTVC/tpa229pov62Tzrs6ad7ajOYkOjg8dyaT\nIZFMks/nqQqHqa6uXlR1J6UipLGZLAGfh7b6SkIuEpJuSK5MKrVpd6MyHHGSJIq///ZuQVudc18d\nnFSEVBeGu9ZBtcNRgFJKTg9Jvn/MoiEieGib5qj+A9ux+rzBk4cLVPgED+/ys6nX46gCLsbIpM7+\nkzn2n8ximrBzQwW71lewpsu3LEmpVKyUam5tiXnPUSaiFwVWiogKuuTiUIGTF/OcOJ8nljTZtlYN\nik19AVdT1GIMjJs8dbTAxWGTPZt93LPV2QgB1Er3hG2I0NkoeHCr5mq9Njyt1HDhSrh7HdSEFuax\nLMmFcWXiu9iKOK9LLo7rxFIWfS0+mmucN8QtSzI5m2MyliUS8tNavzgBGYZBPB4nkUxSUVFBpLqa\nysrKJVe4ekbnyvevcP7rZxl4eoDpc7EFeYKNlTRvbaJxfRO1vXXU9tZSs6qGqtYqKmorSiIKUBNr\nIVkgNZ4iOZZkdmCWqbNTTJ+LMn1umunzM1jG9X2poiZA931d9D7cR9/L+qjrq1uyHl3XSSSTJJNJ\nAn4/kUhk0XchpWQ6rggpVOGlrSFIhd/5XafzFhdGDbIFSX+bl/oq53wTccnRK5JwhZKIndR1pgXH\nB5Qz7KYu2LbKOdqGYUoOXVCWm2s7BPdtdjZoAGXUcPKSyfcOF8gVJA9s97NrndfRum/+OxiaMDh0\nOseRMzlmEiab+wJs7guwcXVgScu7UrFSRLS5xLwnKRPRiwI3SkSJtMnlYZ2LQzrnBwsMjOq0N3nZ\nuDrA1v4AqztKW5GZlhp4Tx8vEE9L7tvq444NPgIuUQmklFwYVXr4Sj88tM1DR4OLdV1W+QNFE2rV\n6mSODRBNSI5cUebYO1Y5+wNZUjI8ZTIQNWir89DT6GyIIKVkJllgdCpDsMJL+yKTIkC+UGB2dpZM\nJkNVOEzApHq4AAAgAElEQVQkEsHnW1xlmZ5Mc/pLpzn/tbMM7B3EyL0gpXgrPbTvbqf73h467+yk\nZVsL4ZbwouWtFPSszsSJCUYPjTK8f4jBpwdJDF0fpKVhfR3rX7uBda9bT+uO1kWJdk46nI3HEUJQ\nE4kQDodd7ykm/5qwn9b6oKv14VTC5PyYQbhCsKbV5xgFw7SUs/L5MUl/q6C/FcfFyXX9bK0yfHFq\nYrYgefaUxbHLyo3gznWao7sB2ObhIyZPHdG5Omlx1yYvd292l7wXPN+syYkLOZ6/WODMlTxVQY21\nPX7WdPlZ3eGjtcF7QxLTShHR1hLzHqdMRC8KLEZEliWZTVlMxUwmpg3GpgyGJw2ujuvk8pKeNh99\nnX76u32s6fRTuUSUgGIkMxb7Txk8+7xOXbXgvq1KFeE00OcwFJV877hJrgAPbnV3JDRMe6U6CJsX\nWanmdcmJq5KJuFLDtde5q+HOjer4vYL+Ni8hF7+mVFZneFJFI2hvDLpupAPk83lisRi5fJ5IJEJ1\nVdWiez+FVIEzXznDic8f48r3B5HmC9+sdWcza1+9jt5HVtO2sw3PIsT3k0bscozL37vM5e9c5NJ3\nLl+nJox0V7P1V7ey9de2UbfaXVKSUpLJZpmdncUwDGpraqiqqnIlJMO0GJ/OMp3I01JXSWONsyvA\nnJHJ0LRBV4OXrgZndV06Jzk6KEllYWeve/y6UiRvUI7Ve09aXBpV+5k717iHdgIYn7H4wfECRy8Y\nbOj2smeLj56W0n3ALEtJS+cHC1y4WuDyiE4iZdHZ4qWj2Udbo5eWeg9NtV7qazyLai9Wioh2lJj3\nCGUielFACCE/9uUYhiEp6JJsXpLKWCQzFom0RbhSo6HGQ3Odh5YGL+1NXrpafTTWOA/axWBZkvPD\nJvtPGZwbMti6Wg2qjsbFJ87xmGTvCYvJWRURYXOPcK17cBKePWfr7te66+4Ho3BiSNJZD5s6nB0b\ndUNycdxgOmmyptXn6rlf0E1GpjKksgbtDUFqq9wty/L5PDOxGPl8npqaGqqrqlw35qWUjBwY4Ucf\nOcCZL5/FyBgAaF5B7yOrWP+6jfS/sv8nJvHcLMyCycDTA5z9yhnOfvUsqbH0tWsdd7ax7S072PzL\nmxc1eMhms8RmZ9F1fUlCyhVMhqNp8gWT9sYQERfz+GzB4tyIQU6XrG33UesgdUgpGYnBsQFJc0T5\nkTlFxyjei1zfATtc9iIBJmeVZD85K7lnk7KwW2whlslJDpzRefakjs8ruHOjl51rfY5qw6WQzlpc\nHdcZnjAYjRpMTBtMxkxm4iYBv6A6pBEOagQrNAJ+gd8n8GjwG6+tXREiuq3EvAcpE9GLAkIIufdQ\nGq9HxdSqrNAIVWhUhTQiYW1J3XQpmIxZHDqnc/CsQahCsHuDGkBuMdnmEI1Lnj6pTGHv3qCxo899\n5RhPKwKKp9VqtKvRucxkVnL4isQwYecq56gIc6a/F8Z0miIeVjc7q+EsKZmM5ZiYydJYU0FzXaXr\nRKLrOjMzM2RzuSUJqJAucPJfT3LwIweYOB69lt5xZxtb3rSNjb+4kWCDA8MuAWmZWLk0MpfBKmSQ\nhRxSzyONAtLQwTKRlqmcZwAQCE0DzYPweBFeP8LnR/gqEIFKtEAQURFS6cu01pKWZGDvAMc+fYQz\nXz6LbpNsoNrPtrds4/bf2b2olJTN5ZiZmcE0TepqawmFQq5tmAu0GvB76GwMEXCQGKWUTCYsLozq\n1Fd56Gv14nP45ropOTUkuTqtyKi7wVmKTudg/3kYjcGd/bDaxToTlIXdU8ctEhnJvZs1Nna5L7RA\n9buLwyb7ThmcGTRY1+Xl9vVe1nZ6bjoenGVJ0llJPGWSylpkc5JcQWIYEsOCB28LrQgR7S4x7wHK\nRPSiwI/Nai5uceKSwdELBrMpyY5+L7et8y4p/YAioGdOWVwel9yxTuO2fmf/HVBh/I9cVkErt/bA\nlh5n/45i89z17YI1Le5REc6NGOQNybp2H5GgM1kkMzpDk2n8Xo3OJufJDVSst1gsRjKVIhKJUBOJ\nuBJQejLN/r/bx8F/OHjNrLqyroLt/3M7O39z16IT83xIo4CZmsVKz2Km41iZBLKQQwSCaBVBNH8Q\n4a9A+AOKSDw+8HgV8Qi7fVIipQWmiTR1pKEjjbwisEIWK5fByqVBgFZZhScYQQtF8IRrFUGVSE6F\nVIHTXzzN4X86yPD+UZUooO9lvdz9x/fQfW+3a0icbDbL9MwMQgjq6+uprHCO4F68aGiqraC5ttJx\nsjdMJQVHEyb9bT6aXKIzxFKSQ5clfq/aV3QzPhiLwTNnwO9VCyQnf7U5XBm32HvSIleAezZpbOhc\nnJBASUlHLhgcPKszHZdsWe1hW5+X1e2Lq7lvFCulmrurxLzPUSaiFwVWiogsS3J10uL0gMHzl00S\nGcnmXjUo+jpKGxQTs4qABiYku9cqAnILDiqlCslz4LwK6b+7H8Iup0hMJSSHbAuoHT3OAS+llAxN\nK3+TrgYvXY3OprOGaTEczZDM6HQ0BqlxcfCUUhKPx4nNzhIOh6mtrcXrsgcUuxLjub9+lmOfPnbN\n8KD99lZue8duNv7CRrxLOLwCSNPATExhxqcwE1NY+QyeUA1auEaRQ7AKEQgpoln4VA5pTvksh+f0\nIo0CViaBlY5jpeOYqRjSMvFU1eGNNOCJNKJVhICl+8Do4VEO/P1+Tv3Hacy8ehcdd7Zx3589wOqX\nrnZ916lUipmZGQIVFdTX1bkafOR1k+HJNLmCSVdzmCoX/6PZtMXZEZ1Kv2Bdu8+xH1pScnFcOTz3\ntwrWtuJIHJZUC6VDF2FVM9zeBxUu2kcpJZfHlU9cNg97Nmps6l6akEAt/o5dMDh+yWAmYbG+28um\nVV76uzxLah9KxUoR0Z4S8z7D9UQkhOgEPoc6Yl4CH5NSfkgI8e9Av52tBpiVUm6373kX8OuACfyu\nlPI7N9P+m0GZiFxwo0RkWZKxaYvLoyYXR0wujJhEQhrruz1sWuWlp0UreQ9pKCp59ozF2LRk9zqN\nXX1i0Q3Tybjy4TAt2LMOWmqd8xUMycmrKjTP9h53Y4R0zuLMiPIJWt/hI+hgjCDtmHDD0TS1VQHa\nGoKu5JrJZJiansbr9dJQX+/qCxMfivP0Y09x7LMnrhkfrHlFH3vedQ9dd3e5Pv8crEIOMzaOERvH\nTM7gCdfgiTTiqW5AC0UQYiFxOGPWIc2J1XMOac4enVY+iZmYuUaOeHx4a1vw1raihWuWlJbS0TQH\nP/IjDvz9AXKzeQBatjdx/2MP0v+qfheTeYvZeJx4PE6kupqamhpX6XM2pdR11UEf7Y1BvA5itGWp\nkE3D0yZ9LV5aa50dTdN5ZXWZycOu3oVnH80hV1DhpC5NKD+2DZ3O0juo/nZlQi3M4mm4c72KFl+q\nqjyWtHj+isHpAZPLoyYt9Rr9HR5Wt3vobvY4+tqVgpUiogdLzPt9FhBRC9AipTwmhAgDh4Gfk1Ke\nKcrzNygier8QYgPwr8BtQDvwJNAvpSx1cKwoykTkglKIKJuXRGctxmYsRqcshidNhqMWkZCgt011\n7jUdHlenUydYluTciGT/WYt0Du5Yt/RAS+XgRxeUddJtfbCu3VnvPhe25eiApK0WNne5xP2Sdmie\nKYNVzV466pwnmoJuctU+zK27OeTqNGkYBlPT0+TzeRrq6wkGg84T12SaH/6fpzn0j4cxCxbCI9j4\nhg3c8657adrUtMhbA2noGNMj6NMjWJkk3pomvLUteGqaEJ75kpOTpOOElSei4rqllFjpOEZsCmNm\nDCwDb3073oYOPMFFdFVAPpnn0EcPse9vnyU9mQWg4442Hvnrl9K1x5ms53+HUMjZfM00LUamMsRT\nBTqbQtRUOR80l8yqhYrPI1jX7hw9Q0nUcHxQnUu1udO9L88k1UIqk1fHjLjtZ85hbqE2OqXMvnet\n0ZZloKAbkitjJheGFSkNRS1qw4LOJg/tjRqt9RrNtRqRsFjSgXaliOjhEvM+yeKqOSHEV4EPSym/\nZ/8tgEHgASnlJVsasqSUf2Vf/zbwmJRy/808w42iTEQuEELIZ08WMExJQVe+DpmcJJmRxNOSmYSF\nbkJjRKOlTqOtQaOjUaOjyXND1jrZguT4ZcnB8xahCkVA6zoWVz3opnIaPDGoTknd3qt07k7I5FVo\nnmQWdq0WNLisTlM5i9PDc5OLsx+JlJLpRJ7Rqcw1YwSngSqlJJ5IEIvFFl2JF9IFnv2rZ9j3t/uu\nbc5v+IX1PPC+B2lY6zah2wfYJacxJq9izE7giTTiq+/AU9OI0Bbbc/vpIKIXoD6amUlgTI9gTA0j\nvAF8TV1469sRXndzdz2rc/hjh/nh+39AZkoR0ppXrObhv3yJK3lnslmmpqbw+3w0NDS4xuVLZXQG\nJ1IEK7x0NoWcpSMpuTplcjVq0Nvspd1t0WJITgxKxuNKDewWmUFKdez8vnPKsvPOtcrSczFMJSQH\nzlqcvipZ2yG4rV+j1aX8xWCakrEZi+FJi5Epi7Fpi8lZi2xeUhsW1FRpVAcFoUqlxg74wOdVVnN3\nbvKvCBG9tMS8T+BOREKIHuBpYKOUMmWn3Qv8rZTKME8I8WFgv5TyX+y/PwE8LqX80s08w42iTEQu\nEELILzyZxesR+H1Q4Vde5FVBQSQkqK1S/7/ZQJcj03DkosW5YUlfm+D2fo12F0fUOVgSzo8odUZL\nrTo508kce66OixPqoLrFIiMUS0GrW7y0uahbCrrJ4EQa07TobglTGXCexPL5PNFoFKFpNDY0OKrh\npJQ8/4Xn+e4fPUFyVJks9z26moc+8DAt29yPCJOmgR4dQp8YQAjwNnXja+hAeEuN5+ZMRNKykLk0\n5NLIfBZZiIGuI00DLFO9eDxK3NQ0ZcTg9YFfKAOHikpEZaVNHMsnomvtkBIzHkWfvIqZmMJb34a/\nZRVaZZXrE+WTeZ77m+fY9zfPKTIXsPOt23nwAw8TrF/YOaSUxGZnicfj1NXWUl1d7RoJY3Q6w0wi\nT2dTiFoX6SiVszgzrOPRBOs73GMLTsaVdWYkqNTCbsfGmxacugpHrsCqJtjV5xzduxjpnOToJcnh\nixZVlbCjT1na3ayFa15XC8/ZlCSRUdZz2bw69kQ3JKYFv/JI5YoQ0ctdrk3bvzlcxJmIbLXcXuD9\nUsqvFqV/FDgvpfyg/bcTEX1LSvnlm3mGG0WZiFzw47KaA2Uq/fyA5PgVC9OE7as1tvY6h0sphpRw\ndUoZIvi9arXodBbMHGbTatBrQjkcVrtYMKVtKci7hBQ0k8gzYktBLXXOoWWklMzEYiQSCerr66ly\n8fgfOzLGt97xDYb3KWuw5q1NPPrhl9N9T7fr81h6Hn38MvrkIJ6qGvwt7WhVxfsqTpP8uEMbQ5DL\nYcXjWMkkMplEplPIbA4CfkRFABEIIPw+8HkRHo/atBAakFFbwdICw0IaJlIH8joyV0Dm8uDREKEa\ntHA1oiqCVl2LqIrYBhFOxO0uUVmFHPrkIMbkIFqoGn9rL1pVbdEzX19eaiLF0+/dy+GPHUGakora\nAA994CF2vHWnY8iiQqFAdGoKpKSxsdF13y6V1RkcL106WmwxY1qSMyPqdNhNHYLeZuc9SlBnYh25\nDGdHVLigrT3uUv+1dlgqysjRS5KhKcmGTsGWVRodLiblK4GVUs29ssS832AhEQkhfPalx6WUf1eU\n7gWGgR1SylE77U9QZfyl/fe3gfdIKQ/czDPcKMpE5IKVJqJ0TnJuWHL6qmRsRqkQtvZqdDWWNjjG\nYmofKFeA2/vdw/KAMrU9PSIZmFRHda9yOeBM2hPH4BJqFd2wuDqpHCB7WsKuxzPkcjkmo9FFVT75\nRJ4n/+S7HPrHwyBVvLeHPvAw296yzTW2m5XPoo9dRJ8awVffjq+1Ba2i0unJHdIUEVmZLNZ0HGsm\njhVLgpRokQiiuhotHEaEfYhgpYv1XDEWV9dJKSGvY6XDyFQcmYhjJWLIbBpRXYtW14ynrglRU1+k\nPlxatSctE2NqkMLoFYQvgL99NZ5IA2ruWYjJU5M8/o5vMrD3KgAt25p4xUdfRccdHQvySilJJBLM\nxGLU1NRQE4m4EshoNM1sWqe7OUS1i4NtKmdxekhF3FjX4aPCxcAmnpEcvqzG2M5eQSToPg4SWTho\n74NuX6UMGpyigiy4L6NiL54YUIu+DV2CDV0aLS5Be28UK0VErykx73+xwFhBAJ8FpqWUvz+v3JcB\nfyylfKAobc5Y4XZeMFboW2rSE0LsAO4A/lVKOWunhYCPAq8GssBfFRNhKSgTkQtuloiklETjcHFM\ncmHEYmIWVrcKNnQJ+lpLVxdE4/Cji+q47l190N+qtEJuGJ9VUlB9WIXncYvZlS1YnBrSEQI2dPhc\nVSnxVIGrEynqqgO01gcd96zmpKBkMkl9fT1hFyfKs189yzff/g1So2k0r+D2d9zOfY/dT0XExcdF\nz6OPXECfHsbX2IWvpRfNXwGkXJ7+ekMAOTuDOXkea3IGaZhoDTVodRG02lalQruujU5k4IRS942u\nn/CloWPFptVvegKZSaHVt+BpakdrqnPYB3JS7RlIKTGmx9BHL4HHi79jPd6IsxpQSsnpL57mO3/w\nbRLDKRBw+9t38dBfPII/vJBEdF1nMhpFSklTUxN+F1PvRLrA4ESamrCf9gbnPmFJycCkyfC0QX+r\nexBcKdUR5aeGJD1NsKF98bA+00lFSNGksrBb2+5uYTe/nvEYnL5qcXZYYprQ3y7oaxN0N928+m6l\niOi1Jeb9CguIaA/wA+AESmYHeJeU8ttCiE8D+6SUH5tX3/9CmW8bwDullE+U0MZ/A+6RUrYXpX0I\neAeQBgKAB3h5KeVdK6NMRM5YLhFZliSaUN7gVyclA5MSr6bIZ02bYFXL4gNsPibjcOQSTCZUOJT1\nHYsPuGxBcmxAEksrR8KWGrfNYMnIjMnlCYOeRi+dDe7qk5FomkRap7vF3a+kUCgwMTmJ1+ul0UUK\nSo4l+dbbv8HZr5wHoG1XC6/+5M/RvKXZuY2mQWHsEvrEFXwNHfja1qD5ijcI3InISsYxRwcxx4cR\nHi9acwRPUz2iupgcnXa/f7xE9ALU+5H5HGZ0FGtyGCsWRatrxNPagdbUbEtKzkQ0B0VIoxSGL6JV\nhPB3rscTijjWWEgXePrPn2bf3+5DmpLqzipe9fFX0/fSvgV5iw1M6urqqHYJFWSYFkOTabL5xaXk\nRFZJR8GAUvu6OWDnCuq4+ZmU2jtqrV18rEzMqgVaIqMkpFIJae4Zo3E4PyK5OGYxEYO2OkFXk6Cz\nUf3fbQHnhpUiojeUmPffuTUOrUKIi8ABKeWv2H/7gCngLHAfUAccAw5KKV9RcrllInKGGxHphiSR\nUfsv00kV7WByVjIxC1WV0FGvOnR3k6A2vHzxfyymCGgmDdt6FAEtpoKwpOTSOJwekfQ2qdNS3Qgv\np0vODOvopmRjh4+QSzDWTM7gyliSYIWXrqYQHocRXjxh1dfVOcY2k1Jy4vMnePx3vkU+UcAX9PLg\nBx7i9nfc7qiGk1JiRK9SGD6Hp7oBf+c6tICTFcb1RCQNHXNsEHP4ErKQx9Pahae1E60qgtMe0U8D\nERVD6knMiVGs0WGsVAJPaweezu1o4fkbgAtVj9LS0CcH0Ucv4Klpwt+xzpYaF2L82DhfffNXmDg+\nCcCWX93Myz74KJV1C9WchUKByWgUj6bR2NjouMCQdkT1kWia5tpKmmorXBc1lyfUmUfr2n00LnL0\nwvis8j2qCSmJfimH07EYHL4EMXu8rOuARU4VcUReV4vHwahkOCoZt8dyc42gqUZQXw11YUEkBJV+\n5zG9UkT0xhLzfoFbRkQJ4B+klH9i/30n8CzwG1LKT9lpHwdeKqVc2ulvrtwyETlDCCH/5SkDw1Tk\nkyso/wbdVBZqNSFBXRU0RARNEWipXf4qag6WVEFJjw1ANq+iYpeywptOqkHrs8OpuBkjSDtG3PlR\nnY56Lz1NztERpFTHBUzMZOloDFFX7WymZBgG0WgU07Jobmpy9NbPTGf4xv/zNc58+RygwtK88p9e\nTaTLedVuJmPkB0+A0Aj0bCha3U855FYTrZVJY169iDl6Fa22AU9nE1p9XQkqNyeJasQhbbVDmlN5\ngyXmA9jpkPaC9GNl0pgjg5jDV9GqqvF096I1NNvP5EQwilSloVMYvYAevYq/bQ2+5lWO+12WYfHc\n3zzL3seexsybhFtDvOYzP0ffS5ylozmVa2NjI6Ggs2lmXjcZGEuhaYKelrDrEROzaWUUUxPS6G91\njlMIirjOjihrz3VtKuzUUk7gk3Fl1DAxCxs7YWOXIo0bgWVJphIqqHA0rhacsZQkkVbjP1Shyvb7\nwOdR5ttvvN+7IkT0phLz/jO3jIjiwMellH9o//1HwF8Ba6SUl+y0DwB/IKV0ieniUG6ZiJwhhJDn\nR0y8Gvi9goAfggH3FdGNIK8ra6Dnr6pyt/aoUCdLBV7IFV44pmFrt6Cz3r1NBUNydkQnk5ds6PRR\nXel+ZPfAeArLkvS0hl2P685kMkxGo1RVVVFXW+tY7/lvnedrv/5fpCcy+EI+Hv3Qo2x7yzbnPQK9\nQH7oDObsJP6ufrz1bfPyLSQiK5HDuHwWayaKp70Hb9dqRGUQZ2mlNCKS+lVkooCVLCDTOjKrQ64C\nmdeRugGmqSzlpFRWIh4NoSLiIgJ5RKUXEfIiwn5ElQ8RNFy+yeJEdK09lok1PooxcAksE8+qNXha\n+xzI5XrpzsqmyA8+jyxkCfRswVNd71AfTJ2b4r/e/JVrMex2/+5tPPxXL3EMm5TNZpmcnCQUClFf\nX++61zM2nWUqnqO7OUzEYQ8KXohZN500Wd/hoy7sLr4ks0rdnM7D9lWCZpdTXIsRS6mjTi5PqLG0\nuWvxOHbLhW6o9mTzUDDU85gWrO3wrAgR/VqJeT/LLSOi51HRGfbYfz8DdBVLP0KIz6AkotaSyy0T\nkTN+XObbUqrV25lhNVi6GmBz9+Jm2HOwLLVKPDMi6WmEDR3CMRLyHKIJk7MjOi01Hnqbva6hdxLp\nAoPjKeojFbTWL26WnUwmaW5qorJyoTpHz+o88XuPc/hjRwHovLuD137+ddSuWhhr6Noex9VTeOva\n8HesRTjuH7xARFYijnHxAlYijrdnDZ6OVfM2+UsjImnElQXdVBxrOoGMJZC5PKLKj6jyo4X9iEov\nVLQjAn6Ezwsej71CKKiPaFmKoAoGMj+GzJqKwFI6VqIApoVW40fU+dEa/HgaA4igl1KJqPg9WTNT\nmJfPI7NZPL0b8LT1FBHSQjWjlBIzNkZ+4BSemiYCXRscnWItw+KHf/FDnn7v00hT0rixgdd/4edp\n3rxw7840TaLRKIZh0Nzc7BqzLpXRuTKeojbsp60x6BqRYDppcmZEp7HaQ1+Le9+UUoWiOjYoqQ3B\n1q6l3RwAsgU1xk4NqViLGzqgt2X5artSsVKqubeUmPfT3DIiejfwXpS9RA54I/B3Uso/KMqzHzDm\nyKqkcstE5IyVJqJkFi6OwflR5ay3rkOF4gku4aQHtsXPrAqTEgzAth53NRyoVdr5MYNYymJDp/M5\nMnPljk5lmEkW6FnEIMEwDCYmJhCaRnNTk+NBdVNnp/iP1/8b0dPTePwaD7zvAe78f+9y3AuyClny\nV04i8xkCvVvxhOeIysn8egorncK4cB5rdgbvqtV4OvqVb88COBORsqBLYI6OY41NYs3EEJGQsqKr\nj6DVVSHCMcSCyfDGVXMyl8aa1bGm81hTBaxoHhHQ0Fo68bQ2o7U0KYkKWIyIimHFkhgXn0fmMnj7\nNqO1dCKEu5OrNHQlbcYmCKzajLfW2Ul45EcjfOmXv0js0iwev8Yjf/0It//Obsc9vzkz78aGBsJh\n55AHhmkxOJ5CNyx6WqtcT+LVDcm5UZ1EVu1ZLnbKanGU+NXNsLZt8UXYHCxLRWo4Mwzjs9DbDGta\nobVuac3DcrBSRPQbJeb9BLeMiKqAbwN32knHgAeLTLl7Uf62fyGl/N8ll1smImesBBElMnBlUkk+\n8bRSFfS3QUuNuw/QfMQzkuODKnDk1m5h3+t+80zK5MywfXZMi7sevqCbXBlL4fEIupvd9fpzqri5\noxqc6j7+ueN887e/gZ4xqOur5Re++Iu0bF046SkpaITC4Cl8zT342tbMUzVdT0SykMe4tB9zbARv\nTy+erh6E14vzXgkUE5GUEhmLYQ5exryq9n+09hZFAk0VSsq5Dj/ePSJFhjrmWD3W6ARWbBatpQlv\ndwda20b7uZaCem5zegLj/HEQAt/au9Bqna0P52AmpsldPoanqo5A9yZH6aiQKvDE7z/OkU8cA2D9\n69fymk+9loDDPmE+n2d8YoJgMEjDIqq66GyO8ZksHU0h6lwiMgBMxk3Ojeq01nrobVr8qO5MXnJy\nSDIZVz5yPSX64YE6C+nCmPplC4qUVjVDa83iLhGlYKWI6LdLzPtRbt0xELbP0ib7z1OyKFCqHV5o\nG8pqzmlQOZf5005EtjPW36Fs0z8h7SB98/J8CHgUyABvllIeXexeIcRfA68ECsAl4C1Syvi8MpdN\nRHkdxmMwPAPDU5DTobtRdfaO+tLNS0ENuFPDkrFZWN8mWN28+IbtnO59Kmmyvt1HfZW7DmLW9g1a\nzNJJSkksFiOxmCouo/PNt32D4589AcCmN27klf/0KgIOk47UC+QGTiCzSQKrt+MJOa2mZ6/VbQ4N\nYFw6i6e5Dm9fl4py8MLTujzZcWTOxLiSxrycBsPC012FpzuEqCk+luK4w71OBgxOpONEGBsd0pyM\nLOCacUFeYg5ZmIMWVgw8nZV4VwcR9XOnpa51uPcF/a2UEmssin5hBK2mGd/anYiKuSCmC+uWZgP/\nP3tvHh3HeZ75/r5aesW+ryTAfd9JUZRsUZK1WbYlW5Ys2bIsZV+ceHJ9J3PjnCTOTSa5mcwkntgz\nsWnM3S8AACAASURBVJ3Y1mLLkhdZlmxLlmSJojaKFElx3wkQxA400EDvXct3/6gG0WhUNxoUaDFn\n+JyDQ6D4VnUVUFXP973f8z5vqusoVngQ74J1eWuPjvzgCM/85k9JRw0qF5Rzz1P3ug4qLMticGgI\ny7LyClZgUoFZEtBprQ3mvYdThuR4r0FihrXMCYQikgNdEsN0GvHNNEDLxWjUGSB2DjoDxuZq5xlt\nqoLyQPEDxQnMFRF9vsjYr3GlH9GvDUIIFTgBfAhnyLoHuE9OtTb/MPB5KeWHhRBXAf9TSrm10L5C\niJuAX0kpbSHE/wcwIUfMOm5BIkoZzs0cisLwuKPWiSSgrty5mVtroLZs9je080BKOodgQZ2TgshX\nezGB0aijRqoMChY36XlTFraU9A7FCUfTtDeW5HXLtiyLgcFBpJTU19W5SndDJ0M8cef3GT4WQvOp\n3PbVD7P+N9e715yMDZM6u99ZC2pdlqmTcSOTMPbYKMbRA6Bq6MtXo5QaLnHT97VDYcwTe7F6Eqgt\nAdSFQZRabx7ngfefiLIh45WYHXGsM3HQFbSlQdT5axHTRi7TFxKlOR+z4xDW+ZNoC9agzluGUEZc\nPtchEzM8SOrsAbSaFmddzmUqEDoZ4gd3Pcng4SFUr8JtX/0wG35rg2uqbmxsjPDYGHW1tQTyqOos\ny3HmSKQsFjTlT9U5KWibU/0GzVUq7bWFZ0cT60eHzzuN+FbPy2/mWwixFJwfhp6Q0znWtp0129oy\nR+hQWQKlvsLP8lwR0R8XGfsvvL9EJITwADcCy4GglPJvMtv9QCmOw4NV9PEucyK6Gsf/6NbMz1P8\nkTLbvg68IqV8MvPzcWA70D7TvpntHwfuknKqclIIId/tcFpnG5ZDPImUc9NGEs46T0UQqkqhthRq\ny52bdjaznmykDMmpfsd/q7XaqQfKZwg5AdOSnBkwGRpz6jNqCtRnpDKpOF0VzG8ocfUKg8m0SzAY\npLoqVwrt4MTPTvCTzzxFajxN9ZJK7v7Rp1wXuKW0SXefxBzqckbhFdlu0DlpONPAPO2k4fQlK1Ca\nWjOf7fZCNzPHl9h9g5hHzyCjMdQlPrSFQYQ3+/fgRhyXFxFNrBE515PCPB7DDku0pS1oi5sRF8zV\n3BQtjuzajo1hHt2FNA30lctRynJl8pOzGmmkSJ59F2mk8S3aiOKbTiBGwuC5z/+C/d92UnVrH1jD\nR77x0byquoHBwQsO6/lm2KGxFL2heMHSAHCehWM9BilDsqJFp3SG2ZGUzsDtaLekzO+IePL1PpoJ\nUjptVQbCMDRORrrtZDdK/Y50O+gFr+543mkZDcu69rkhoj+ZOQyAf+Z9Tc3dBnyLyZtKSinVzP9N\n1BXdL6V8vNhjFpOYfj/RDJzP+rkbyG3r7hbTDDQVsS84Fhffd/vwWNIhFo/m3IR+j3MTTnw/Fyru\nZFpysk/SMQTNVfChVcWpgpy1IJOKoOCqxd6CFiXhSIquwRj1VX7qKtxTcQDjkQihUCjvQrS0JTv/\n9lV2fPlVkLDsziXc+egnXFNxdjpJ8vRehFDwr74uxxkhJ3akH+PwG4iKCrzXXI/wFFZwSCmxewcx\nDp4A20ZbsQh1fhNCOVRwv2IgJcgkyAjYUQWZEMiUcLjPAlBAABoIDwifRAQTKCUaolRzETwUDyEE\napMPtcmHHW7GPNpF8tldaIub0Za1IgrUxSjBcvRNN2P1nCa9dzdqyzy0hblrcJnP0b34lmzB6D9L\n4shreNvXoFVNVdrqfp2PfesO5n1wPj///Z9x4NGDDB0b5N6nP01p01SBhN/vp6W5mf6BAVKpFHV1\nddPafQghqKnwEfBrdPRGiMQNWuvcU3VeXbB2vk5/2GZ/R9qZHRVYOxLC8VOcVwOdQ7DrlKTUL1ne\nLKgpnV3KTgjn+S71w6KsX4lhQiQJ0YSzvpQ0HPl2Mu3MoOYKl0jUN2cQQmzCUcwNA3+C41V3oQ5X\nSvmWEKIDuBPHy64oXO5EVOx07aKefiHEnwPpfMz9whNfvvD99u3b2b59+8V8jCsiCYeAzoecB+im\n1TNXkQMYluR0n0kompkFFVgLyk7FLWwqzZuKk1ISCoWIJxI0NzW5OjCnIimefuApjj99EgRc/zfb\n+cCff9A9FTc+TOr0vklBgogBuSk2E2lZmKcOY/V3o6/cgFobAjoKXr81NIa5/yzSsNDXNKO0TNQy\nDeE+03FT0mWu2wRrSMHuV7AGx7BCfuwRHwhQStOIoI0SMMFrI3QbFAlUOHdlEuy0cIgq3osdkciE\nRCkVKNUKSq2OWq+iNmoogeyXspuwYbr4QqnowbNNxY5UYh4eIPlsF9qKerQl1Tkpu8njCQFaC6i1\nt2Ic2UN611voa7ailEwvIhZC4GlciFpaRfLUXqzoqJM2FVMJZN3n1tGwtoHvf+xxevf0882NX+dT\nT99Hy1VTnSM0TaO5qYnh4WG6e3poqK93vY8CXo1l8yvoGohyvGssb6pOCEFjpUpVicKJXoPdp9Ms\nby6srFMVZy21vRY6h+GdsxKv5giEmt+jyamuOX2RJnoj7dixgx07dlz08fLhPWomfh34Cxxj081S\nyj4hxJddYvYA62dz0Ms9NbcVp2vgRHptSlfBzLavAzuklE9kfp7wPGovtK8Q4kHgt4EbpZTTcjCX\noo5oQoZ9ekAyGnVUO4vqi3dkGByzONlrUFNWWBEHxafiLMuif2AARQjq8kizR86M8P2PPs7wsRDe\nMg8f/94nWPqR6YvpUkqnTUPfGbwL16OVT7TYnJ72siMhjIO7EcFS9BXrM7Ogw3mvx44mMPZ1IEei\naGuaUduqXWYfbh6L2Uo6sIcEZoeKeU7FGlBQKiRqg41a141Sk0CpSqD4J1Lbbh1M21y2ZVJrpsQe\nk9ghG2tQwRowsfotlIBAnaejtWlo8yJMX7ZyEybkFKqGDYwDSWQ4ib6+EaV1QsHoNpa8xhF89JzF\nPHkIbeEK1Hnu63eQSdWd2Y+0bXyLN7rOXmODMZ78xBOcf6Mb1aPwkW98lHUPrnM93vj4OKGREerq\n6vK6MUgpGR5L0VdEqk5KyeCYzck+g7pylYX1he/97P26R+BknyRpOM9aW60z45przNUa0Z8VGfv3\nvG/y7WHgWSmdkqcMEf2llFLJivlH4PeklPlrC3KPe5kTkYYjOLgR6AV2U1issBWnuGproX0zarr/\nAVwnpXRN5s8lEcVTTg67Y8hZVF1UL5hXQ94ivlwkDcnJXoNYSrK8WaeiwKgQslRxM6TiJtaDSkpK\n8rokdL3exRN3fJ/ESJLqpVXc98ynqV4yvVpf2hapswewE1F8SzbleMRNEpGUEqv7DOapQ+hL16A0\nzcv63OlEJC0b88h5zFO9aMua0ZY2I7R8qrnpRCRlGLtfwTihYpxSQQF9gYU630JrthEX3n9HXI43\nOyKaCufA0pbYwxZml4nZYWANGGitoC+RaIvIkNLMRDTxOdZAFGNvL8KroW9qQil3i7vmwnd2PIpx\n4C2EN4i+6oOIPD50UkrS3Scwh7vxLdmEGpy+HmWlLZ77wi/Y+/V9AFz1hS3c/D9uca0VSyaT9A8M\nFJT9A8RTJh29EUoDOi0FVHXg1B2d6jcZiVosbSrsWZeLkajkdL8jbmishPZakRETzc27fK6I6C+L\njP1/ed+IKAn8i5TyTzM/f5npRPS/cNTL7r3o3Y57ORMRXFgYm5Bgf0tK+fdCiN8FkFJ+IxPzNeBW\nHBvyh6SU+/Ltm9l+CvAAE/Kit6SUf5Dzue+JiJKGpGcEzockY3FoqYL2OkFVSfH3ji0l3cMWnUMm\nLdUqbTOoiOxMgWo4kqatsYSSPKk4gGg0ytDwMDU1NZTmKUw89PghfvrQ01hpm0W3LuCTT97jWldi\npxIkT+1B8ZXgXbDWpU23Q0TSNDCO7EHGIuhrt6AEcwdMU4nI6h/F2H0aURlE37AQ5UKLzlSeq5ok\nIjsmMY7YGEcMkKAts9CXmCjVMs/a3qUholzIZAjjDBgnBFYf6AtBX92K2pQ7YCggarAl1skQxpEB\ntEW1aKsactJ110zZS9oW5qnjWP0deNZcX7DuyAz1kuw8hLdtFXp1s2vMO19/h+f+6BfYpmTJRxZx\n1xN343HpTWSaJn39/Xg8HmpralzbxMOkqi6ZtmgvUAA7gZGoxYkek4BPsKTRvZFjPqQMyblh6ByS\npE2YV+0YFVcG3xspzRUR/XWRsX/FtDYQrcCjQB1O8vibUsp/yfr/LwL/CNRIKUcy2/4MZ43cAv5Y\nSvlCEed4FjgmM87aeYjodaBcSrm6yMu5/Ino/cJsiUhKSTjuqG16w45Dd0MFtFY7NQ7Fzn4mEI7Z\nnOh1mostbdIIeAvPgopNxclMi+jI+DgNDQ14vS41P1Ky829eZcdfvQrA5j/cxK1fuQ3FpejVioZJ\nntyD3tCO3rgwz8McxY6OY7z7OkplLdqyDQjV7XfrEJFMmxj7z2L3hdE3L0Jtrsq92jy/hV9i9duk\n9tmYHTb6YgV9VRy10S5CWPLrIaLshs92DIxjYBzygibwrK9AX1aK0BQKEdEEZNwgvbcPOZbAs7UN\npWbifK+ZvislWINdGEdeQ1uwHnXe8rwvXis25vxNa1vRm5e4xnW+2smTdz5BMpyicUM9n/75/ZQ0\nTD9n27YZGhrCME0a6utdSwFgdqk657iSc0MW50Mm82o05tWoMxqj5mIsLukadtJ3lg1NldBQIagt\nZdb9ieaKiP6myNi/YBoRNQANUsp3hdMufC9wZyYD1Ar8G87Ue6OUckRMNsbbzGRjvCXZxal5zvFr\nwO8D26WUr+USUWbw/3Oc5njFZhqvEFE+FCIiKSWJNIzFHfv5kagkFAWvBvXlzs1cVz578gFnJnWm\n32A0ZrO4Qaeu3L2hWDaKKVCF4l4KVtrimd/6KQcfOwQCbvnnW9j6ha2uxzNHukl2HMbXvgqtakLJ\nOX09yBo4g3HkCNrSpWjNE6PsbpcjnsPqT2DsGkJp8qOvr0bor7nETW3tICVY572k3q7FDgs86y08\nq2yED+BVl/3dRvpuHZLdLHFOu2xrc9mWD9dN2yJlP1ZngNS+SuxhL56No3jWLEBMG+m7nfcirK4R\n0u+cQ1tQg7a6GaG6zYSdVJsdT2HsP4Mo86OvmI9QV7jEatjpFMmTe1F8AbwLViOU6cQwfHyY7972\nGGOd45S1lnL/85+ldkXttDgpJeFwmLHxcRrzDH4mUGwB7AQSaZuTvSaxlGRJo0Z16czPi9v5RRLQ\nG4aBsPMsl/mhuhSqgoKKoONXV+h5nisi+rsiY79E4dScEOJp4KtSyl8JIX4I/A1OY9cJIspdM38e\nZ0191wzn2IJj6xMAvopz89+N0531g8AfAmPAWinlUJGXc4WI8kEIIU/32Zi2o1RLm45sM56CaMqR\ndZf7M7VEJY5MdDYpglxYmRFed8ikuUplfu3MC7K2LekZjjM2Q4EqOGmS/oEBdF3PmyZJhpM8ccfj\nnNt5Hj2g8YnH72LZHctcj5fuO4vRdxrf0o05Ddly1oPOHMPs6cCzbh1KeXbcVCKSlo158F3Mziie\nq2pRmybWmNyIZJKIzB4vqdfLkXEVzxaBvsxGTMnsXP5ElH091qCX1O4qrO4yPJs9eNZ6ssxg3YkI\nQCYM0rs7kPE0nmuWoJTlOmFkuTKYFsaRc8h4Cs/6WxDT6ogyzftsi+SZg0gjhX/JFoQ2Pf0WG4zx\n+Ee+R++ePrxlHu556lMsuHGB65VHYzGGhoYK+tSB8yx0DURJpCzaG0vwe2cW9w5HLE71mfh0weJG\njZI8vbaKgWU7DfpCUaf9w1jcqR/0e5w6ooDHGXR6NIGqgipgYYMyJ0Q0zTYmD/4L+YkoY7PzKk6B\n2404s5c/yciqJ4joq8AuKeX3Mvv8O/CclPLHRZznBuAHgNsf+gzwCSnlrGoprhBRHggh5DtnLFTF\ncez16gKf7piUlviY0e2gWNhS0jdq0TFgUh5UWNSg5W3bnY1k2qKzL4KuKQVTcZARJfT3U1ag4DDS\nG+Gxmx9l6MgwJQ0B7vvZZ2ja2DQtTkpJuusoZngQ/7JNKN7cF15mPciyMA6/g0zE8axfg5g2Cp4k\nIjuaIP36EYTfwnNVLcKXzSTuRGSNaqR2VmANevBuG0NfHkMobsRxcUQkLYE93ood1bATGjKlIC0F\n6EcoEqGbCJ+BEkyhlNWh+IotIi9MRBOwhtaTeiOFNWzhu8aHtkzDGYzmYrKPkJQS6/QQxsFu9PVt\naAuyZydTxQdSSqyOfszzYTzrr0Mpy05/alPi0l3HMcPD+Jdd5dqo0IgbPPWZH3H86ZMousId37mD\nNZ9Z43r1xdyLE587UQDbXBOgqsw740zHlpLukEXnoEltmUp7vYZvjhRytu20f4ilJuuIDFNi2k4/\nsc0L56YNxD8WGfufcSeiTFpuB/C3wAvAK8BNUsrxDBFtklKG8hDRL6SUTxV5rhpwO475aTXOLOgt\n4KdSynxqovzHu0JE7rgU8u1sTEhSzw6YeHTBogaN8kBxo7iR8RTdQzEaqvzUFlDFAcRiMQZnGIWG\nToZ47KZHGOuKUL2kks+++DnXBnbStkmd3Y+dTuJfsjmzlpGLKDKdIr3vTYQ/iL5qI0JNuMQ5RGR1\nD5F++wT6yvmoSy2Xa5lKJDINqbeSGEeCeDaP41kfQVx4b86eiKQEa1jF6DqH0VOO2V+GOVSCHfGi\nlJgoJQaK30R4bIQmQUSQloI0VGRSx475sMcDoErU6iRafRy9KY7eGkVviSL03HuoOCKCTQCY3SbJ\nV5MIReC7cR5qXa7qbXpDOzucJP36SZTaMvRN7Rkhg3ufEas/gHF0N/qqrah1E0Q3fQaS7uvC6DuD\nb9lVqIHpDX6kLXnhi79k11ccQr/lKwVSulmz87ra2oL3byJl0tEXxe9V83YLzoVhSToHTXpHLZoq\nnezCXA0c82GuUnP/lOf/TjN1Lv4C04lIOH5WP8OZ2XxFCLEaZ+0nnglpwbE7uwp4CCadZjKpub+S\nUrqlBi45rhBRHlwqIpogoM4hE0XAgnqNqpLi8tqWLTk/GCOWMGhvKiVQIGUhs3zAGhoa8OXJy/fu\n7eV7tz5GfDhJ0+ZGPvOL+wnUTB/1SsskeeodUBR8izbm9YuzY/0Y+15HaWhFW7Qic10ujejs85iH\nOrA6+vFcuxKlphz3Ys9JIjHOCJIva2itMbwfCKMEc9dViyMiO9pC6riX1AkP6dM6qOCZP4DWEkZv\njKDWRlErEgjVTV02PTUnZRsyrmEO+TAHAhg9QYzzJViDfrSWGN7FYbzLR9Ga4ggxOyJyji8xDhuk\n3jDQl5Xj3VaLuDBrnk5EoCINC+PtM9jRJJ4PLEUJ5lPKLcMOD5N+dyfawlVorUtwr03SMEI9pDsP\n41uyGbU0V0Di4I1/fIOX/vQlAK790jXc8Lc3ut7btm1fME1tqK93rV+bjJV0D8WIxA3aGksJutgM\nuSFlSDoGTQbGLJqrVObVXDpCmisi+mqRsX/ENLGCwOmXF5LS3SkoJzU3IVbYwqRYYdElHX0XwBUi\nyoO5JiLLdlJwXcMWugrtdbNbWI0lDDr7o5T4dVrqggUXTqWUDA0Pk0qlaGxoyKtUOvPiGZ78+JMY\nMYMFN7XzqZ/c6yrDlWaaxIndKP4SvO1rsqrvp67z2GNjpPftQ1vUjtaanUaa6m4gDYP0G6+DKfFc\nU4PwT7yEOt2uHDshSb6cxh6w8X3Igzbv9TxX7vZCd0jQjmsk320gcaABsyeIZ2E/3sW9eBb0o1XG\n8nf2zoWbkC7ksm0AbEPDGKwj1ddIqqcZaSv4Ng3h39CH3pxFznJw+v7i7mmb7Lif1KsBzB4N/80x\ntHkmziA3F2udw0qJeXwM89gYnmu3oda5qfuSmWOnMPaeQmmoRFu0zeW+dGZUZniQ1Jn9TsHyFO/A\nSez/zn6e/e1nkZZkw2+v5/Z//YhrrZHMNFuMRqM0NjS4OjFkYzSS4vxgjLoKH/VV7g0c3ZBIS84N\nOYRUX64yr0adUYU6W8wVEf3vImP/gGlEdC2wEzjIpCPNl6SUz2XFnMVJzU3It7+EI982gS9IKacV\n4gkhPpd1vFlBSvlosbFXiCgP5oqIEmlJz4hJ74hFeUBhXq1GRUAU/RBJKRkYSTAYTtJaF6SyQF8X\nmHTOFkJQ7+L5NYHDTx7mJ5/9CbZhs+reldz5yMdRXeo3bCNF8vgu1LIaPPNW5Jz3JBFZoRDGwYPo\nK5eh1uUqpyaJyI4lSO94B6UW9E2VOe4IndM+3+gYJ/lCGn2ZinebjtAF7uk2cFPTGZ0q8bdaSR2r\nwbs0hG9dP955xxzLnmxcAiLKPRczXEEytZzE3kaUoEFgaze+DX0ouguBuhDRhBWQ0aGTfDGAvtjA\n+4FKl862a6f8ZPXGSb81gr5+NdqCeTmxkxcu0wbpvadRyuvRluc6MUym9qzICMmTe1w96iZw/KfH\n+fG9P8JMWiz/xFI+8fgn0fLM4McjEUYyTgwBl3Yj2UgbFp39Dom3NZTgmUXL1ZQh6Q6Z9GSexZZq\ntehsxEyYKyL6epGxv8evp6BVCHGxTnpSZoxQi/qcK0TkjvdCRJYtGRqz6QtbjCdsGitUWqpnPwpL\npZ2HTojiHjrDMOjr7yfg91Odp2EZwL5/38uzv/MzkHDVH2/hln++1dWs004nSRx7C62q0WkZMO14\nmXWewUGMI0fQ165FrZq+fjBBRHYoTGrnPvTl7ahLYy7H67zwnTQlqZ0xjDNJ/Ld60FpnEjDABBFJ\nC5IHq4m92oRMCQLbuvFv7HV84wASLjOQS0xEF7CuDmlD+lQ18TdbSHdWELjqFIFrj6OWZp1EASIC\nkAlB4qUg9ogX/+1e1Jrse2vttD3tsXbSO95CbW9FW51dQ5TTwM+0MPb1gNeHvnpTlmnq1DUmKxYm\neWI3nnkr0GvcZmVwbuc5Hv/I46Qjadqun899z37adcYNkw7eVZWVlJW53UNZ5yglA6NJBkcTNNcG\nqSr1zIpMLFvSH7boDlmYFjRWqjRUKO9pljRXRPRvRcb+Nr82InrwIneVUspHiv6cK0TkjtkSkWFJ\nRiI2g+MWIxGb8oBCQ6VKbZky63qibMXQTDY9E5iwVKmsqKC8fLrQYAK7v/Y2z/3R8wBc/7fb+cCX\n3I1L7VSCxLG30Ota8TQtznO0bqz+foxjx/Bs2JCRZ7v3GbJ6h0i/dQDPVatRW+pxLyDtdD57zCL+\n7DhKuYL/JhUxzY3cnYik3U/yQA3RF1pQSgyC1/fiXXYekft+eZ+JKBtmyE98Zy2J/W34N50leP0R\n1JLUjEQEmRnfkQZSr6XxXufBs2JixjGdiGAtMpEktXMXSnkp+pb1GZKZfuHSasU4sAuEQF97VWY9\n0MXyJx4heXwXntZl6LWtrpfbf6Cf7978KLHBBK3bmvnMc591decASKfT9Pf3EwwGqcrTgiQb8aRJ\nZ38Un0dlXn2woHLUDVJKIkknZT4wZuHXBXXlKjWlCgFv8VkLmDsi+naRsb/BlcZ4/0dgJiJKGZJI\nwiYctwnHbKJJSUVAobZcobZMvehF0bRh0TUQw7Bs2hqKq6GYsOspZDIJ8MY/vs5Lf/orAG7555vZ\n+p+udo1zSOhN9Lr5eJoW4d6rB6zeoxgnTuDZtAmldMKuZ7rbtdn5Esa+JJ4P+FFrC/XW+aWTdvpl\nEM+WBJ71KYRwIazhfdM2pc42EnlxPUK1KFn3Lp76AcdNYboCHabXXMJ3XLa5vdfcbBzdNBL57B7d\nJrUrq7DGvcReXkBifxPBa84RuG4viidHEi5y02oAbVhDPhLPtqPOj+Db3oNQt7jE3QI4M570a6dB\nEXiuWeTaNhwWIW0b48ABkBJ97VqE6ja4qcBOREgc24WndSl6rdv5QehUiEeuf5hIT5SmTQ3c/8ID\n+CvdU3CWZdHf34+qadTV1uZNLU/AtiW9oTij4yla64JUzJC6znscKRmN2gyN2wxHLARQWaJSERCU\nBRxiUgoQ01wR0cNFxj7IFSL6PwJCCDk0ZmJJpwFd2nBcD+JpSTxlY0so8yuUBQSVQYXywOxnPtnI\nngXVVvhoKGIxdqJifTwSoaG+Pm/FupSSV/96B6/+9U4Abv/X29n0e5tcYy+QUH0bnsaFma0ubgm9\nnRgn33VIaIosfCoRmac6MY8cxrM9gFKR/RaeXteSfmcn6X0+/B+JojVPzKwKE5EZDhJ5aRPmSBml\nq/fjbemeaufzH4SIJmCO+Ik+t4R0RzllH92Hd3XX5PXkISIAmVJIPD8fmdTwf7QSJZB779xy4Ttp\n2Ri7OpCJNJ7rliOmpXwzRbK2jXHwIFgW+vprXTwEM24NiSiJY28VnBmNdozyyPUPM3ZunPq1dTzw\n0udc1ZmQcQAZHsYwjIK2QNmIJgzO9UcJ+DRaaoPorqUFxUFKSTwlGY05g8zxhCRlSIJegd/rNKz0\naAKP6hS0KgJqyrQ5IaLHioz9LO+b6elGnPqhb0oppy1uZqyGfgd4Rkr5btHHvUJE7hBCyP1nUygK\n6KrAozlFrX6PIOhV8Opz59ybTFt0DUSxbcn8ImdBUkqGhoZIpdMFlXFSSl76f17izf/2JkIRfOxb\nH8tr3++sCb2JXjsvMxOawFQisvq7MI7tx7N5Yw4JQTYRmcfPYJ7owHOjilKSv+21tGySL53DGuwn\ncGcUpTR7fdSdiKQliO1ZTmz3coKbjxPccgzR57KuOkdEJG2BtBVkCQghEWqWf90cEtEE0mdVxn+y\nBaU8TtnHd6NVxQoSETiputQbjRgnGgjcqaNWZ9+ft0zZS0qJsbsTO5zAe/3yrC6wMKVIdoKMbAV9\n3dacRnuTf8MLM6N5y/OuGY2dH+OR6x9m9EyY2hXVPPDyg5TUu9e2SSkZHR0lUqSiDiZnRyPjqYta\nOyoE05LEUpJESpIwJGlTYpgSK1PQumGBd06I6IkiY+/lfSOix4FrgTY3XzrhSGo7gJ1Sys8Wo06p\ndwAAIABJREFUfdwrROSOS13QCs6D0z+SYCicpLF65uLUCVzoIaQoBZVxUkqe/0/Psftf9iBUwSe+\n+wlW3bvKPdZIET/6JnpNM57mJTn/O0lE1mAPxpF38Gy6DsX1ZesQkXH0NNbpLjw3bkUJ7nGJc15i\nMmURf/Y0QlPwf/isSxfS6URkHj9N+GfbUPxpym55G60i5vyHm31dkUQkvw1Gwk9qvIxUtJR0PIiR\n8GOmvNhpDxIQig0CyJCSoptovhRaZRJPeQxPdRRvTQRv7ThKRZ57p0giQo44ZPvqCmI7l1F6y0H8\nV6dczFvbpu2aPrqJ1KsW/o9oaK0T98Yt0+KklBh7z2MPR/DesCKLjKbWJjlpusMgFPQ1W/ILGOIR\nksffwjt/FVq12y8eIn0RHrn+YUInRqhaXMnnXnmQsub84oRIJMJwKER9XR2BAmnnbMSSJl0DUVRF\nMK++ZEY377nAXKXmflhk7N28b0TUAbwmpXygQMzDwAeklAvzxUzb5woRueNSEpGUkvGYQfdQDJ9X\no7U2ULQM9YIyLhCgusCCrpSS5z7/C/b873dQPQqffPJult3p7hsnTYPEsTdRK+rxtrrFOERkhQYw\nDr6FZ8MHUcqrcO9+GnZmQic78X5oGyLgx11cUIEdM4j/5CRqQxDfDfMRipsL/SQRSQnxNyuJ/rKC\n0g++i3/tGfKoySdRgIjMMQ+x/TXED9YQ31cFQuIrG8NbEsUTjKIHE2jeFKonjaJmBn8Z8pW2wDI0\nrKQXw+vDCAdJhUpIDZWRDgfwNY4TaBshuHAIb8P45HnOgogmYA6UEX5iG2oZlN9zCqUku9ttm8sB\nr8Lsskn83MT3IQ19sYIbEQFIqWDs7cQORfHesByha7gVyUrbj7HvTYTXj7ZqY+a+cxEwxMZIHt9V\nsM4oNhjj0RsfZvDwMBVtZTy48zcob80vsEkkkwwMDFBZWUn5DIq6yeuSDIWT9I8kqC7z0lAdeE+p\n85kwV0Q0o9FbBnfxvhFRAvgnKeWfF4j5O+BPpJSFtfjZ+1whIndcKiJKpEy6h+KkDYuWuiDleeSs\nrvtmJK4zPZBSSp7/wnPs/uoeVI/CPT/5FEs+nDvLycRaJonju1CDFXjmr0SIMZcoEzs8Snr/Ljxr\nN6NUTRRGTn/zmyd3YR4bx/OhepTgxAh7ep2MPX6S+I+8aMssvFcbmRe1W6tvpzWEHdcZ+8EGrDE/\nFde+hlYRmR7qZvf2rzkhtkakqZHI+QZS46UE6kIE64cJtIygBRNTie1Nl+O5qeauz7m2tEricCXx\nwWqi/bVIS6G0eYCy+T14y12EH25kmUNY0laInltD4kQ75Te/gbclo/yb5/ay3+hc64CX+NPNeK8Z\nxrMqX+fm252Z0TuHkOFxPNdvRWhu4pQaR+iw9whKeQna0naEcMtx1lyoM/It3oRaNr2JIkBiJMFj\nNz1C374BKtrLeei13yg4M0obBv1FlCZM28+06c24MjTWBKguwrPuYjBXRPR0kbF38r4R0QjwIynl\n7xSI+Tfgbimlu6+U2z5XiMgdc01EacOiL5RgLJYuyiMuF+ORCKFQiPr6+oJFf1JKXvi/HM8vRVe4\n56l7XNt6g5NySZ7cg9A9eBesy5zP9FmOHQuT3v06+sp1qHXZCyJTicjs6ME8cMQhoZLsNYepRGSP\nmcR+2INng4l3Q7bc252IjL4ywo9chXd5P6W3H0aci7lffAEiShmljMbnEU3WE2gKUTavl0DdMMpE\nXyS3xqUXSUSA0xM4g9R4kMj5Rsa7mtB8KSoWdlHa4pinAkUR0URcqquBsRe3EdxwlMC644j5+YkI\nwBrVif+oBe+Wajxr3U7+diCTpnv7ADKexHPdkpxGe3ChKZ9hkt59CLWpFq3dba3RiTPHhkid3odv\n2dYcd/ZJJMNJHrnhYfr3D1C5sIKHXvsNShvzd5e2LIuBgQHEDClpN8SSJt1DMSxL0lwToCyozykh\nzRURPVtk7Ed534joV8AqHDugaaNBIUQZcAqned72Yo87tz4XVzANKcMRIhw7N4amKaxoq6Cusnh7\nEikloVCI0dFRmpuaZiShF//0xQskdPeP7s5PQlKSOvsuCPC2r82f4kslMfa+hbZ4eQ4JTYXVM4ix\n/zie7bU5JDQVdtgk9oNBvJtyScgdyUONjH7jWkpuPkbZHYcc49FZIJ6upHtkI92jG9DVOG01r9N0\n1QFKGocmSegSw1sWo2bladpv3UnV0rOMnWum45cfYPT0fGxrdo+gd14/1Xf/ksSJdsZe3IY0Cu+v\nVhoE7+4mtSdG+t08BI7zItW3rAFNxXjrBNJ2/90IXcOzcQVmVz9W7/m8x9PKa/G2rSZ5Yjd20v1z\nfRU+Hnjpc9SvqWX0TJiHr/sO0X73UgEAVVVpbGxEVVV6ensxDCNvbC6CPo0lLWU01QToGY5z4vw4\nY9E0l9tAXCny633EN3GS2y8KIaYUrAkh1gEvZv7/m7M56JUZUR681xlRImUyMJpkLJqmptxLXaV/\n1pJS27YZGBzEtu0ZjSGllPzqz17ijX94E0UT3P3De/KuCQGkuo5iRUbwL9uKULOJY3JGJE2T9J5X\nUWsb0Ba5EZozI7JDYVI73sF73UaUml6XOGdGZEdMYk8O4t1chmdtj0vc5IxISoi/WkHs9SCVD76N\n3pI1UzsTd9mXKTOiVH8JQy8uxegIUBU8S5m/FyEyf89tLvtewhmRG5KjZYSOLyA1Wk711acpW94z\ntfA2z4xoAtJQGXvpaiyzjMoHD6AEs1/KG6ftao9dQ+yHI3ivKsGzOnvR//YpcdKySL/yBqIyiGdj\n9lrzVJ86Oxonveco+pqNqNW1eeOMgU7SfWcJrLwGobuXF8RDcR7Z/jCDh4eoXlrFQzt/g2Cd2y86\nc45SMjY+TjgcpqG+Hp/P7Y+XH1JKRqNp+kNOKra+0k/le1TYzdWM6PkiY2/l/asjyogRHsDxoBvA\ncfRuZlI/+piU8nOzOeaVGdEcwrYlI+MpTp4f43T3OF5dYWV7Bc0XUddgGAY9vb2oqkpTZhRYCK/8\nxcu88Q9vIlTBXU98siAJpfvPYo4O4F+6JYeEJiGlxDi0G1FSjrrQfX0JnBdSauc+PFetRqmpzB8X\ns4j/cAjP+lI8a/M3RQOQNkSeqSGxt4zqz++cSkIzwIrpDDyzgu5HNxFcMkRbzeuUB3omSegyga9y\nnOar36Vx67uMn2ji3JPbiPfk//3lQugW5be+jqctTOh/bcYcKfwyVso1AndVkXozgnHcrS1H5riq\niueDy7H7w5jH3QYLmeOVBNDXbMQ4+A521GW9LgO9vg2tuonEid1Iy30GHKgO8MDLn6NmeTWhEyM8\ncv13iA0Vnr1VlJdTW1tLX38/45H8n59v/6pSL8vnl9NYHWB4LMnhs6P0DsdJGcX2lbo00Iv8ep/x\nEI7d3VEc8tmY+fcw8DuzJSG4MiPKi2JnRLaUROMGo5E04WiagE+jptxLeYmnYCV2IUyIEioqKigv\nK5txpLbjr1/h1S/vdEjo8btYec/KvLHmSB+pzsP4V17j2uQMhgEwThxBjoXRN12NUFwscQCZ7iH1\nwlG0JfVoSybaDHROj0t9g9gP1qAvCuG9uiuz1Y1crkNakrEnLawxSeWDGkr44elhLubbUkLkQCND\nXUspreqnuvk0qmaCW33lUZdtblket1N0a37slrHMZxnkJpBbBdG+eoaOLCVQG6J25QnURS4vbTen\nJR1ie5YS27WcqvteRqsZh0q3gcNdAFjDNvEfJfHf4kVrV4H5rhdkx9KkXujEs7kRtaUUcJsRt2H2\nnME6cxjP1lsRHq/rhUtZTursu0jTwLdkc977OToQ5eHrvkPoxAh1q2r43I6HCFQXlmxP2AIFgsGC\nKtKZkEiZDI+lGBlP4feqVJZ6qSjxFD2AnKsZ0Y4iY7dzeTgrCCGCOPLJsJQy/+hhBlyZEc0Sti2J\nJQwGRhOc6Rnn4JlR+kIJfB6V5fPLWdxSRmWp96JIaKKH0MDgIHW1tVSUl8/4YL35399wSEhx6oQK\nkZAVDZPsOIhv6eY8JJSJ6+nCHuhDX7c5p4Ax61xtm/Trp1EayrNIyCXOsok/uxy1aRzP1q68ceAY\nnYa/Z2LHJVW/paH4i/sdmimdvrfXMdLXTvOSfdTNP+6Q0H8QCAGlTQO0Xf8GQrE5t2MbsS53tZkb\ngptPULr9ACOP34gxWFiopNYo+D/qJfF8Cmsgv7GyEvTg/UAr6bd7sUfzG/FpzQtR6lsxDryGtN2P\nJ4TA274WbIt0l5vHoIOS+hIe3PEQVYsrGTw8zGM3PUpyrLAJoMfjobm5mXQ6TV9/P5Z1cTMav1ej\ntS7I6gWV1FX6iSYMjnaGOXYuTPdQjHA0jWHal3xN6T/AGtEUSCljUsqe90JCcHld02WH/lCcnqEY\n5/qjnOoe50jHKAfOjNA1GCOVtqgs9bKyrYKl88qpr/LPypI+F7ZtMzQ0xHgk4ogSiijee+fr7/Di\nf3aakN3xnTvyFqsC2Kk4yZO78S1YixrM/7KywyMYJ4+gb9iCKFDNbux3phX6Bnd/MXCINfliD0K3\n8V2fU/OTG2sJwt81wYLKB7VMu4eZER+s4tyvtqGXxJm34i18wfGi9rscoWgW9WuOUb/uMAMvr2To\n9aVIq7jfg391B6Uf2sfo92/A6CtcvqE1q/g+5CH+dAp7PP+Cv1LjR9/YQHrneWQylf94S9aBomIe\n35s3RigKvsWbMMNDpPs78saVNDhkVNFeTv/+AR6//XsY8cKiBFVVL7gvdPf0kErlP9eZoCiCihIP\n7Y2lrFlYSUut0/trKJzkaGeYg2dGOdE1RkdfhO7BGH2hOAMj+VOds4Va5FcuhBCtQohXhBBHhBCH\nhRB/nNl+d2abJYTYkLPPnwkhTgkhjgshbp6zi7gIXEnN5YEQQnYPRlEUga4q6JqC16Pi1eemf0k2\nDMNgINM6ubYIo0eAQ48f4qn7nwIJt33tNrb8oZvRpQNpmSSOvoFW05LlH+cSl0qQ2vUT9OWrUeuy\n+8xMlV+bnd2YB0/gvXVZjjUMZKfmUrsHMU6OEfzUr6b3/8kWRdgw9v3FyFQtFQ9oU/vr9Ll477zu\npOJGT7YzemYejZsOEagbATcR13+A1Byrp2+y6nT6X1qNldZouvVdtGA6b2ouG4mj84m8vIWq3z2B\nVpd9EndN2zW118A4ohC8ty2r4yvkXpDx7gB2SMFz/bacGXLbhe+kkSa963m0BUtRm3PTfVlWQMkY\niaNvOAWv5W51SA7CnWG+fc2/E+mNseDmdj797Gdc+2XlIhKNMjw8TE1NDaXT7KfeG6SUmJYklbZI\nmTamaWPZEltKWutK5iQ1t6vI2K1Ma4zXADRIKd8VQpQAe8mUGwE28A3gi1LKfZn4iQ6tm5ns0Lok\n17Yn46QggRullB1ZP88IKeWCIi/nChHlw6/D4gcgFo8zNDRERXk55UWk4gCOP3OcH971A2xTcsN/\nvZ4PfOmDeWOllCRP7UFoHheZ9vBknG2TfudNlMpy9MW5b7xJZwR7NE3q5UG8N9ShVLqp15yXn3Em\nQfJXowTvq0MpfcblxN7MnB+M/3gL1kgplZteQag5hOUy4bf7FPrfXo0Z99F4zbvogcwI+Lt5fgm5\ncCOsTB2vKVSiaglxNUCiwUfK9GKYOpalYksFiUARNqpqo2kGHj2Nz04S8CQIemL4tKQz85tuEO7g\nUy7b3MYdqvO7GQktZCzcQmPzu/jXuRQbuxBtXF9A9MU1VP/+C6gTf6NpvTCc4ydfvB+ZUPF/LNss\nNseXzpakd/hRqoLo67I/cGoa2I5GSO/ehWfT1Shl2bPuqYRgjY+SPHUQ/4prUPz5yWL4+DDfvvZb\nJEJJln9iKZ988h6UItZsUqkUAwMD+AMBamZR/PpeMFdrRLuLjN1C4TUiIcTTwFellL/K/PwKU4no\nzwBbSvkPmZ+fB74s5VQuFEJ04hDPDRki6izyFKWUsr3IWNfm9Ffwa4DMtEmORCLU19fjL1KCevZX\nZ/nRPT/ENiXX/JdtBUkIIN1z0lkkXrSp4ANpnj6OUBS0RdPtXS6cs2GTfn0YfUMlSqUHcJdRW6MG\nyRdG8N9Zg1Ja+BaLvbQao6eKqt99CXFi5maQZtxD7yvr0UtjtNyw+z3XAkkgRpBRXyVhvZyk6iNo\nxghaMUoDUWr0ELqWRlMtFGGDTyKlgmWpGKZGOu0lGfYymqjgfLgFKQVlvnEqPWEq0mFULrbBpbN2\nVF1zBq93nN7uDdTXH6ak0W1KNhWBzWeRcQ+j376eqj94AcXvntoSAnw39hH/YRvpt2vwbh12j1ME\nnm0LST1/BKW2BLXZXd2nlJSir1iD8e4ePFdvR+ju+i61rBJP6zISJ3cTWPmBPK0ooGZZDZ994QEe\n3v4wx546wTO/9VPu+Padrk0cs+H1emluaWFocJCe3l7q6+rQ85zL5Ya5OEshRBuwHni7QFgTkE06\n3TgzoymQUrYV+nmucIWI3gcYhsHg0BBCCFqam4uyuQfofrubJz72fayUzabf38iNf/+hgvHmSB/m\nUBf+VR/MKzoAsIYGsPrO4716e16Zs+PWPIJS50VrL1DjkbZJPDOM95pytMbCvWES77ST2NtO1R++\ngOKbWVxgjPvp/ulGSpv7qV51uuCa00xIozNILcOiBoGkklHa4ucIWjGUicyD21KaCmCjayY+bwqC\nsSmJiqTpYSxRzpCvho6SNirSYWpTQ5QZES72dEtKh9C0vfQcWI+VPk35/Pyy6gkEPngcKxwk/OgH\nqfzNVxB53nBCBf9Huol9rx21PoHW7r7mLHw6+jULSb92Cu8tAZSg+99WbWjGHglhHN7viF3y/JH0\nuvnYsXGSZ/YXVNI1bmjkM7/4DI/d/CgHHjmIt8zLrf/zthlnOaqiUF9fz9jYGN09PdTW1FAyx6m6\nS4F8ycc9ma+ZkEnL/Qj4gpQyf3WwO9639NgVscKvGdFolO6eHgKBQMH2DbkYODjA9279LkbcZPWn\nV/Hhr91e8GG0ExFHIbd4M0qeQkIAmUxgHN6PZ82mjPzWHVZHDDtsoG8sXOuSfHkUtd6Dvjo/WQGk\nO2qJ/HwDlQ/tmNoiO1/8aIDzT22mcu05alZfPAklDB9nxAIOitUYQmexPM0aeYh5yW5KregkCV0k\nfFqa+tIhlo2fZO3oQUrMGJ3BNg5XrCTkqeJis70+/zit1+4hdHIBo2fyC0QmIASUfnQfwmsw/vSm\ngp+rlJj4b+8h8ctm7Ej++1GtLUVb2oDx5tm8zgsA2rKVyGQc63x+UQKAZ/5KpGWQ7jlZMG7etfO4\n56lPoegKu7+6hx1/+UrB+AkIIaioqKCpsZGR0VEGM8XhlzPyiRO2An+U9eUGIYQO/Bj4rpQz2tb1\nMDWx25LZVhAZQURe5+1MzP1CiJdnOlY2rhDRrwmWZTEwOMjI6CiNDQ1UVlQUnbseOT3CYzc9QjKc\nYslHF3PnIx8vmJ6Qlkni5Dt4W5ejluRXyDlFq/vQWttRKvPLhe2oibE/jGdbNaJAjj59dByrP43v\nxsqC12aFVcLfvZbye99Eq59Z5ZYOB+h+ejPVW85QsSa/rUwhpEwPZ0YWcHR4OT6ZYJ08QLs8R5D4\nRc9UZoIuTRqSA6wJH6Il1k2/v4FDb69idKjiogjJUxKn9Zo9hM/OZ/SMW/3PVAhFUn7vmxjnakm8\nlT/lCqC1xPGsGyHxXHNhklneCALMY30FPldFX7MJ8/QJ7Ej+v69QFHyLNmIOdmGG8/VWd7D41sXc\n9fhdCEWw829f461/crO9cIfX66Wl2ck6ne/uJpGYO5XbXONi5dvCeeC+BRyVUn4lz+Gzb/VngHuF\nEB4hRDuOFKaYJarrcLd8z0YbTqlT0bjsU3NCiFuBr+AMDP59YnEtJ+ZfgNtwFi0elFLuL7SvEOJu\n4MvAMmDzxALepUIsFmNoeJhgMEhLc/OszBqj/VEeu+kRYoMJ2q6fz90/KLxg63jI7UMtLUevqyO/\nfAusztNI285xTpha5yFtifFmCH1lJUplrqT83IXv7LAk9apB4JPHEHpuEiFLFGEKwo8uI3DtCbxL\nc15mx6efo2H46H5lE9UrTlNe1eMI+N7Jc0Fnp2+yk4I+byP9ngbq0gOsTR1AO+8yKt7scryfuGxz\n+3W6cXiWz6cAKhmjIj5GuLOc88Ot9Bv1tHd14kul4OMu+69w2RYBnSQt6/bQvW8zwrCoaHDpfZH1\ne1AwqbjhVUaevRmtfgTP/Jx1IO3MhW89W85gnr+a9J4evFfl0rMjlBAK6FcLUs+PozaeQKnKNTR1\n0l9KELSl7RgHd+PZehNimjOIsyaqeHz4Fm8keXIPyqoPFKxvW/HJFXzsWx/jpw/9lBe++CLBuhLW\n3L8mb3w2FEWhrq6OWCzGwOAgJcEgVVVVs3oWfx14D52TrgHuBw4KIfZntn0J8AJfxfFe+rkQYr+U\n8jYp5VEhxA9wNKQm8AdzqM7yZ45ZNC6vv0IOhBAq8DUca6UVwH1CiOU5MR/GcYJdjNOi9l+L2PcQ\nzuO/81Kev2ma9A8MXGjsVVtTM6sbPzWe4ru3PEq4c5zGDfXc+9P70HyFxw7m4DnsZAxvm7vZ6QTs\nyChmx2n0NRsLixhODIIiUJcWaDthSxK/NPFsUVFrC6fZIj9vQSkzCG5301BPhZXS6X5tI5VLzlHe\nPvO6SC5iIsDhkpVE1RJWRQ/TmupBew/igfcKAVSOj7H66GEqxsY4smwFfXUNs54d6b4kzeveIdSx\nkMjZ/MXEE9DKo5R94m3CT1yLHctfGyYU8N+6n/Q+iTWY/6SUoETfYJB+6yCyQAGp2lSPCPgxT+cv\nYgVQS6vQmxaRPLU3b1HsBNY9uI6b/vtNAPz0oac59fypgvG5CAaDtLa0YNk257u7icXz+Ba+T7jY\nOiIp5etSSkVKuU5KuT7z9ZyU8mkpZauU0i+lbJBS3pa1z99JKRdJKZdJKX/5Xs9dOGjDmRTMKnVx\nWRMRjkrxtJSyU0ppAE8Ad+TEfAx4BEBK+TZQkdHU591XSnlcSlk4Mf0eIKVkNBzmfHc3uq7T2tKC\nv4BrthvMlMn3P/Y4AweHqFxYwWee+yze0sKL/1YsTLr7BL7FaxBKAYNU28I49Bba0hUo/vwjUHs8\niXm0H31rbUGySu91Opd6NhS+nZJHKkgeqaT8no4Z13hsS6Hn7Q2UNA1Sufhc4eAcSKBXbeS4vpSm\nVB9L4ifxyvSsjnEpIYDGwX5WHjvKaEUFxwaXkbZmp5fyBBI0r93H4GvLSfTN3PbFt7wH3+pzjP34\n6sLrRaVJvNcJEs9JpJk/UG2zEKUBzMNn8sYIIdBXLsbqO4896q7Im4DesADh8ZI+P/MAZdsXt3H1\nF7dim5If3vUDevbMbpCiquqFgWFoeJi+/v5ZOXlfSlyOzgpCCDtTEDsx6vjyxM/ZXzizoLPAOpz3\nbdG43ImomanM6iYxzBfTVMS+cwopJZFolK7z50kmk7Q0N1N9EdN/27J56jM/5tyrXQTrA3z2xQcK\nuhGDsy6UPL0PT9sqFF/hWOvsEYTPj9pU2BXB2N2FvqoRpST/S9IalaT3WPhv1gqvC0U0xn/URsV9\nZ1EChW1YpISBd1eiBxLUrJrdiNdE4ZS2mFGlklXpI9QYoUu2BvRe4UunWH7yOGW+cQ73rySSmp2q\ny1caoeGGQ/S+tA4jMrP8v/TmA1hjfhK7C68X6ctBqYDU7vxEJAR4Nq/EPN2FHc5vOio8HvTl6zAO\nv5PX9NQ5nsC3YB3mSD/maOH1IoCb/tvNrLl/NUbc5Hu3fZfQydCM++QiEAjQ2tqKz+ulu6eH4VDo\noi2C5gqXqenpTuC1zBc4OfnXXL524Cj2fg/4i9l8wOVORMUmLd7Xd42UkkgkwvnubsbGxqitraWx\noeGiaheklDz3R7/g2I+P4yn1cP/zn6WyfWZX5lTnYdSSKvTqwlxrR0Yxu06ir7iqMHGcCSEtG3Vx\n/up3x8LHxHOVilJRQDwhYfyH7fi3DOFpn1lROnq6jXQkSP26w7NSxyXxcFRfgY7BcuMYXi6fWVA+\nCKClvJcFVR2cHFrMULRmxn2yEWwNUbW2g57nN2AbhVcYhGZT8ak3iby4FnM4P+kJIfDdIDAOgDVc\ngIz8PvS1S0i/faigB5ta34woq8Q8XXi2IzQPvoXrSXUcwE4XTvEKRfCxb9/BwlsWkAglefRDjxDp\nnZ0LNzjXWllZSWtLC1JKus6fZzgUwjTfH6/Ci03NXUpIKbdPfGU2PZy9LevrRinlPVLKb+Y6NMyE\ny12skCsxbGV6f2o3GWI3zsBhpn0L4stf/vKF77dv38727dun/L9pmkQiEcbHx9F0nZrqavz+4pve\nueG1/7qTd/51L6pH4b5n7qNhXf5mdBfOI9SLFR0hsGqiuNXtz2oipY1xZDfa4rUIXwC3Ft4wjExa\nGAf68N5Qh1BCeeLAOGYjDfCsL9xIJ/mzNFa/pGLLq3Asc3+62YEFIT5QyejZNubdsgslaLsLSl+a\nvimOn+PepTTpfTRokyPqfhelb4PbsopLRjvhYmTgpmrZ5tJ7SOR7j6512TYCFYyxwneME6NLSEd1\nmsr7ppOwWwYuAhVt50j2lTH4ynIarj48OW7NxkJnbUhrSlJyw3HGfnI1Vb/7KgI3QjqMUgrebZUk\nf1VG4J5zCHGLS9w51IUSqyONdeYA2qJK3F26QV++jtQbL6I2tqKUVZItYMmGWlaDVjef1Nl38S0t\nPFhSdZV7fvwpHrn+YXr39PHdWx7lodd+E1/F7PoTAWiaRm1NDZUVFYQzafVAIEBZWRk+7/T24jt2\n7GDHjh2z/pyZ8OsmmYvAQ8DBuT7oZW3xI4TQgBPAjTitxnYD90kpj2XFfBj4vJTyw0KIrcBXpJRb\ni9z3FeD/llJOc2t0s/iRUmIYBvFEglgsRjqdJhgM/v/svXeUJGd19/+5VdVpck47szulKC/KAAAg\nAElEQVQbtLtaZaEsJJYgEBJCAQlFgknmxenYfh3Ar/3i8MM2PrZfG2yDQcJYWUIICQVAgGSEkARC\nKG7Q5p3ZyXm6ZzpU1f390T27PTM1VdWzs6tZzn7P6d3umqeqq7urnvvce7/3e6muqiIW88/fhMEv\nv/ZLHvnUIyBw3X3XselaL+rUbLjZaaZf/QnxDedgVsx4Tl6rORt7/xs4vXuJnnNJ4cbyMjDPkH1+\nGEwhetaMMNr8cZp2SX7zAGXvtzBbiw3RbEqbmzQY+vtqat/9FJGGkUN/8DBE9o4I+x+/gOZzX6e8\nrTBReRmiW2e/TFLOdnM9ndF91Fsjs/4W2hB5dKie3jl/m6ch8tgmXppyAF7qW0UGJutG2JbeQE39\nGB0t3bONkdflUDiea5vs/9551G7aQ3W1h2X86CGSgrow8m/vIHHWXsrO9yIvNB8cl7p7NdEzRohu\nOs9jXD7E546myTy5j/jla5GYl/p7fjFlH9iLs38X0fPewaF0w1w0oK57SBuxJVglZmpoilsv+Doj\nO0ZZ+dZ2PvTERwJJPUFwHCe/yJycRFUpLy+nLJEgHo97htqXSuLHP5N2CA28aa3CHeCrqvqZpTzu\nsg7NqaoN/DbwffI0w3tVdauI/KaI/GZhzGPAbhHZSV7Y7zN++wKIyNUi0kW+TuxREXnc6/0nJicZ\nGxtjaGiInt5e9u7bR29fH9lslprqalatXElTY+OSGKFt39nGo59+FIDL/u2yUEYoT9V+mUhzZ5ER\nWmBsJo298xUiJ53jXwg7ksU5ME3kVP8EeOa5caw1xhwjNB8Tj1QRX7t3thHyOj+F/udPprKz95AR\nCoEUZWw317PG3TPPCB2LiBo5TkxsY3yymu6+9tD7GZZD61tfZuhXG8hO+RNjxICq615g8vsn4yQX\nXoOLAYl39JJ5ugnN+rSMqI1jdlSRe8VffshsWwWmhdPlwbOf9b4G8XVnkD2wHXc6OJRb1pDPo1a0\nlrP/p908cOP9uM7hsSNN06SmpoaO9nZampsxDIPR0VH27ttH94EDDAwMMDo6ysTEBJPJUgUMfN43\n5ONNxDCw5IVYy9oQARQoiBsKNMO/LWz7qqp+tWjMbxf+flpxTZDXvoXtDy5EaSzG9PQ0tm1jWRbV\nVVV0tLcfND7l5eVLVoPQ9bMuHrjxW6irXPwXF3H2//IqapkPe7ALzWWItHnJMs8Zu+MlzLbVGEEF\nri+OEjmleo4a82w4ozlyW6aIXeh/S2T3RMnujFFxZrAnP/FqG3YqTsOp4ckJ08TZbq5ntbuXWg3f\nxXW5IyI2G9dsZ2Silp6B4NDsDGI1SepO2k3fq6cEUsIjLRMk3rKX5KP+xzdb01grU2R+4Z9/iZzS\niLN/Anfcp4BVhMiJp2Pv2opm/Vs1GPEKois2kN79UqgeQDWravjQDz5MrDrKtu+8weO//eiS9A4S\nEWKxGHW1taxYsYLOVauor68nHo/jqpLOZEilDqsVzywcA4boSbyDAIeFZR2aezNxtNS3h98Y5tbz\nv870SJozP3E67/vP94fKMbmZaaZe+wmJE8/HLJtb4zPbo3DHR8n+6llibz0TmSUpNJt663RP5HND\n710zR7nhpVnjph5OYrZYxM7xuAEnvgTkPZzhr19K+flbSZzhQb8u6u5gZ2Lse/EC2s/8BbGKOatL\njygT2yHnWLzes4m2mh6aKvOfV++eP9TLR/IydV56JDN3myIoJmCwHVAUBwe3UJP0No99FzL3nW3z\nt6U8PmP5pyCbi/D6zk10tHTRUDsCXkz7OW+kCt2TZ1OxZoDa04u+d4+0iZuzGHriGmo+so/oyuJF\n7uzfwJ2Mk7r9XZR/SDFmhTBn54NyWzO4Awlib5vbIfa0OeNeBTdL5CSvMN4hsoaqkt76S8zaVt/2\nJcXY9/Q+br/kdpyMw7u++C4u/KMLQ+13uFiq0FxY36qCNy00t568WOq/A39ZKI05bCx7j+jXGanB\nFHe857+ZHkmz7r1rufw/rghlhFSVzN5X8yG5eUZo/tjc9tex1q2cY4Q8xr3SR+S0Jl/5IKfPxumz\niZ7hH45Mv7oaMZX4ScE1QAO7N1Ld2jXfCC0AV4Ud/euoLx85aISWEgliNEktaaONKXM1U+Za0mYH\nabOVZrOVNnMFneZqVptrWWF2MGY0Mi3luEtM3oxGcmzofIN9PatITvlT8mcgAs1vf53hF9YEUrqN\niE3Fe/qZfKQ1sLYocjJknvP/fNb6KDo6hTPo7z1Z6zbgDAzgBoS0RITYmk1ke3bgpsN5HasuWsVV\n37wKgB/+8Q957d7XQu23XLBM6dvF+CzwGnnVhn0i8riIfENEbpv7KOWgy50192uL3FSOuy6/k7G9\nE7Sc3hQo3VMMZ6QXzaSInvCWwLHuQC/kcpgr/CvwnX1jYBoYK/xrWdLPTBM7N+HbQVVtg8mnTqPm\nqmcC6depkQYyySpa1r/qP7AI+4dXYpoO7bUlkSB9YWFRb1RTJ1UoyoSmsHQCw80g5A6amGJvysAg\nJjGaiZOSGkaNFuI6RbmOoTq9JGapLDHN6vY97Ni3jpOrXycSCaYVR2unqD11P4NPb6Ttspd8xybO\nGmXq6QYyWyqJn7SwAYmdrST/S3DPztcYeUFMwTplBfbL3ZjvOtF7ECCRKNbq1djbtxN9i/81bMTL\niLauI7PnFeIbzwu1UDv5+pOZ6BrniT/6Id/58INUtlWy6qJgbb7lgGOANfeRoucteLeFnMHHwh70\nuEf0JsB1XB646Vv0/KKXqpWV3Pz4h4hWLCy9Ugy1c2T2vU5stb96AhQ6Su7YirV+k+8NrK5ivzZA\n5NRmf7mfHht3xCVysv+5Tv1qHZGmMaIr/ZPX6goDuzfQuHYrxtyGeAtgpK+Wselq1jbuPqw2EDNw\nsEgaTWwwV2Fhssc5wDZnLz3uIJYmMYqM0Fy4uEzrNJU6SoN7gBZnD1GdYsxoYre5kkkpXxJd/brq\nMeprhtm1a01oOaDaM/eQGapkqnsh+l4eYkDFe/pIfr8Zv8oPSUDkNMj8PKD9wuoGdCqLM+AvZmuu\nXImmUrgjwQSTSOsa1M5ij3jFab1x/h9ewNm/dRZO1uWe99/N0Lal95yPBI6BHNGaEh6hcdwQvQn4\n/u9/j+0PvUGsKsotj3+IipbwFfXZA9sxaxoxKxdWy56B29MFkShGQ5PvOKdrHCImRsB5ZJ9PEzs7\nhpg+Ri1nknrmJCreFkxQGOvtIBJLU14bbpLIpCPs2dLJusZdWMbhVcArwpRRz7i5CsFlm7OHA+4A\n6cMogjVwqdBxmpx9NLoj9BsN7DPaySxBMKW95QC2bdHXF6wtB2BYLg0XvMHgTzf4GhiA2EmTYCqZ\n1/zDvLEzlNwOcH1sjBiCdVIb9qv+RkMMA2vtWnI7dgSSCkQMYp2nkN23BbXDpSREhEv/5b2sf986\n0mN5zcZk/9Kx244YlqPGTxEKkmmhHqUc93ho7ijj2X9+lp9/6RcYEYMbHrqRxk0LKxfMhTs1SW7o\nAOWnbg4cq66LvesNIiefXvByvGuLVBV7ywCRUxsLtR1eN+swzhA4A0LiigyH+nfP10mc/tUaIs0j\nRJpGYMZWVM03hK4zzEjXGtpP/uUhz8ZL2aUQsVOFvcOraY71UzG8QPM2j1rKHdvnb6sjyn6zlZjm\nWOnsI4rtlcvHSwdgb8hxH9YkcSdJVmrYZa4k7g4T1TG6POZnL77fFf8z+7WBsq5hF6/v20Rt9xhx\nKbDOvCJOhdBZhfYzmu5k8getVLUu0LbhlFcQoGLzMMkfnkpsw0+R2Ns9Bg4hCYieXE72RSG+OclM\nvdFsJDFXx7FfncIdHsSoT+B9TdkYbXWwZzfuSB9mvX/5gVlZh1nTSLZnB7GVwaUNAIZpcO29H+S/\n3nYbPS/0cddld/DRn3yMaHm46MObgrDuzvJuq1QyjntERxFbHtjCD/7wBwBc+Y0r6dzcGXpfVSWz\n/3WibScgPo3uZuD2HYB4HKPOXzLG7U+B42K0BXhDLwrR0xTxWbqoA6nnT6T8/GDhyrGelZTVjBCr\nCCfLMjxdT9aJ0la5cB+cMEhLFbvNdhrcUVa6PURLU6svCQLEdIwKZz9Zo4opoxU9jFsuLhnajF52\nu6tDhehEoKFjB8PdawkiWMU2HADHILvLn84dPXOa7OtxNL3w8cQQzA312Fv99d9EBGvNSuxd4URt\no+0byQ3ux02H92wiZRFuevQWqjur6H2xn/s/eB+uvYxn8UXG5goEgX4RebVo2zki8nMR+ZWI/EJE\nzi7622dFZIeIbBORdy/mVEXEFJFmEVnp9SjlWMcN0VFC17NdPHjLt0Hh7X/zdk69OVwflRk44wO4\nmWkizZ2BY1UVe/cOrDVzabTzYW8bwdpYH9DtFXI78jkCP2S21GKUp4l2+OeG3LTB6IFV1K9cWLl5\n1jm6BvvHO1hduwdjgVbmQVBgyqhn2qhjjdNNnU4cNYFCkxwVTheCS8psxz2MKH+L9OGqybAGh2YB\nyqpHsCIZJgPqkcSAsrduJfXThUkGAEali9WZJbvFn5FnravB6UvipvxDaUZLE6QzuKMeekpzx0bj\neeLC/q2BY4tR3lTOLd/7EPHaGDsf28VjS1RjdESw+NDcN8i3vCnGF4E/V9UzgL8ovEZENgHXk9fq\nuBT4dxEJbQtE5FQReYy8q9tDPlCwF9hTeMw8D43jhugoYGTnCHdfcRd22uGMj5/ORZ+7qKT9VZXs\n/q3EOjYiIYpo3aF+MAyMev+wn5vM4g5PY3bObW42G7nXIbIWjIBOFlPPNFF2lkcsbA7Gn6wnUTVK\ntCwcJbdnso3q+DgV0cUVDuaNUCNZKafa6SL+JoihCkrC7SfiJpkyO3AXGRUXgVXmPrrcdhwNd/vW\nrdjNSHewF5U4dS92Ty32oL+hjJ4+Te7lhO9kLhETs7MGZ+eo77HEEMzOduy94drXRFpW46bGcCZL\nU9Fo2NDAjd+9CTNm8suvvsgzX3ympP2PGqIhH3Ogqk8Dc7/sXg61aKzhkGDWlcDdqpor5HJ2km+b\nE4hCT7dngIuAJ8g7/i8Xno8UXj8J/HeY483guCE6wpgamsrXCg2nWfvu1bzvK+FqhYphD3WDaWHW\nhquyd/buwupcG/g+zo5RrNXVvu2/8/VFQuRU/1nM7o9jD8aJb/SfUNSF0ccaqe3Y6ztuBhk7ymCq\niY6qxVO1p4wGbIlT5XRj8ObJ/OdDdSNE3LHD8owqJUmFJOnTcNdDWfUwIsrUqH+YViIuibfsZupZ\n/5olsy0HBjhd/t6OdUIt9q7RwGZ35ooW3LEJ3FSwcowYJtH2jWS6tpbs1ay8cCVX3341CPzoT3/E\nq3eHLxk4alhassKfAv8oIvuBfyBfAwT5FjnFN1QpLXL+D3lTeKGqvr+w7UFVfQ+wmrxntom8BxYa\nx8kKRxC56Rx3X3Eno7vHaT6tieu+dX3oWqEZqOuSPfAGsTWnhVNcSI7iJieItFQzO0k8m5mmrou9\nZ4zYO1uZ3f96tkfj9Nj5Dq2tUeZ125g+1Ftw6mdnkDh1BxL3mHTuHzj4NNXTiOVMk4iPw9x57LH5\nux7ItdGkA0T3HBo88fL8cQBVHm12eqUGS8pJO11MFDK8XhmJ5zy2eQUYvaZUr9T5QmazC0DHaFCT\nCrONfU43f2h4TKheDIYiLfkOt5vXpzbRTD+WOce4zlkLCFDz1v2M7eig/Fx/hmLirJ2MfGUtlW/7\nH6SYUl9x8cGnIhA5OUtui2CtnGvYD/0IRjUYlRHcA29gdixsNMUEs60Op2svxsZguSqroZ1szw6c\niSGs6vBkH4CTrjuJ8f3jPPG/n+Ch33iIms4aOs7vCN7xaGGBtclTWXiqdA2DW4HfVdUHReQ64Dbg\nkgXGhrXqm4FHVLWYFisAqpoUkU+TV+f+G2bXHPniuEd0hKCqfOejD9L9XA+V7RXc/NgtgR1WvWAP\nd2NEE1hV4frUOF3bMNvbAkN4bs8YRoWFUe3PIMq9niOyyfSvQ3KE9CurSZwZnPMZ272SmrX7A8cB\nZDTKqFlHi+3dhiIIQ9NlRIw6Ms4BlhvNaMgdJqs5Wo3mRdUaxY0MNdYYfWPh6NyVG3uZ7q0hN+Yf\nX7Xqk5iN42S2+y+QIxtHye0yCGp8a66txN4d3EHVXNmI0zPs2zxvBiJCdMUGst3bF5XrOf8Pzuct\nv3kmTsbhnvffxege//DhUcUCHtDmOHy+8tAjJM5R1QcLz7/FofCbV+ucsG1uG4Di7tY2ReJTBcmf\nJ1nY4HniuCE6Qnjq/z7Jlvu2Eq2IcPNjt1DZFv7qmYGqku3ZSWRFMOkA8l1and5dWO0egmZz4Owd\nwlztf07qKPZOm8hG/8sku7sFszqF1eDPgMtNxUmPVVGxIrgDJ0AfLTTag0QWwWzLOCYvDbWQcXvR\nI8iMOxz0uv3EJEYX/vU7C6Et2kv/WDOuG+wpGxGXqo29jL8efG0kTt3D9Gud/scrtzFbFXu3/7Vh\ndpTjDoygGX+LZSRiGNXluP3hckVWfRtqZ3EnS+/MKiJc9uXLWfOuTqaG0tz53jtIj/k34jtqWNqK\n1p0iMiOF+A4OGZCHgRtEJCoiq4ETyLfJCYNRmNXEahiYy5DLsrDcoieOG6IjgFfueIWf/PXTiCF8\n4N5raT4l3Kp1LpzRPsSMYFaFY0i5A/swquqRhP+qV20Hp3cMsyOgpfh+B6PWwKjyn+jSr60ifkow\nBXdifyuVK/pDqSjYajJEA81OOKNVDFV4ZaiZ9ooJXF1yxfolg6IccHrZJo2kFlH0mjDSVMSTDE2E\n85arTuphcktbIGkhfmIX2d0tuBn/yH1kvUvuDf8pRCIGRksDTlewV2uuqMc54N8i4uBxRYi2riXb\n49E0KgQMy+C6b11Pw4n1DG8f4b4P3IOTe3PbhAOHQ9++G/gZsEFEukTkN4BPAV8UkZfIh8o+BaCq\nW4D7yJfAPQ58pgSF511AZ9HrF4BLRKS5cB7lwPspkTV3PEe0xNj/zH4e/vhDALznn9/N+svCeTOz\n4QBKtm8XkdbOoiZiXj/XoTyQ0/sGZlsHeHbdPLRydHsmMepjSNzLgzl0led2prFOiALz+gbmkbgY\ndSC9vY2Gy/oh0QQv/WT+uILjNdnbSvO5W/Kvvd66KFgwPFlPVXqC2Pj8lXTVArJhw4U5aVgqmDQi\ndE72eC7LfuGxzSvT4KUN4KV/7zXO6z0Abpy3JcuoO8LT0kSZe+BgFu4ED/vb4vHmLQf62Z/soKmv\nKKPlxazeDTGdQFyX9C+rSdQV6NIeX5Cx9nQinTky3ReTOG3m+prPrIysrSf91Diaa/LVHrRWNWHv\nOoC1rtgbm58zMprqyL3+FJoeReIBFE3i+VxR93bc6UmMROkRh3h1nJsfu4WvnfOf7PnxPh79X49w\nxdfCqd8fMSzSNVDV+ZdWHucuMP4LwBcW8VbfB/5ERMpVNQV8BbgceFFEfgacRb7M+g9LOehxj2gJ\nMbpnlHuvuhsn63LWp9/COb/jeQ2EgpOaQNNTWLXhvCnNZXFHBzGagskvTncSs92/gFVVsffksNb4\nr9Rze2OYtQ5mjf9qMjtehpOOEG8K1zdoINlIY4V/PZIXHIR9RiOrnYFj5uKO6igqFraEl3qaQRUT\n2FikPHtEzIYIVLT1kzwQfE3FN6XIvO7vMUvCwGy0sLv8Q59Gaz3u4Bia8x8nhoHR1IbTF44hKYaJ\n1biSXP/eUOO9UNNZw40P34QVN/nVrS/x7D/+bNHHWhIskr59FPF14OMU8kKq+ijw+4XXHyC/pvs7\n4F9LOeixcq8ue6TH09x12R1MDaVZc8lq3vulyw5rZZUb2E+keWWouiEAd+AARl0TYvkbDnUVp3cK\nY4X/JOMOOWAKZp1/QDqzLU7sxODwV7KriYqVA6GESqeyCWzXojoeXOQ4F31SS4WmqVr6JpJHDALE\n3QHSRkPJxAUBGhliSMKF5ypW9JPs8dceBIhtSpHZXh6oU2etjmDv9adzScTCaKzB7Q3O55gtK3D6\nw+bNIdK8itzQgVAkh4XQfl47V/5XvnXEE3/8Q7Y+WFrB7JJi+WvN9ajqPao6WLTtX8gboDagSlU/\np6olxTmPG6IlgGu73H/tvQxtG6FhYx3X3R++pYMX1HWwR/qwGsJS+8EZ7MFoCk5E62gGiZkY5f4G\ny95vY60KjtxmdsSJnRCc6E11N1K+Ipy46chUHXVloyWrazsIvUYNHe6xobRcDEunMbDJSenEhXod\nZpi6UEYsVj2J65hkk/4elFljY5Q72D3+TE9rlYWzP5hXbLTU4/QFGyKjrglNjgd2cD04PprArKzF\nHjk86aeTrz+Zt//N20Hh2zd/m55fhlf6XlIcA/LbXlBVW1X7VIOWLt44bogOE6rKY7/9KLt/uJey\nhgQ3PXYL8Wp/+ZMg2KP9mOXVGLGgOHnhHFwXd7gfsyEEW65vCqMlOIzjdNlYHf7Gyp0SnCGLyEp/\nRpSbM0kPV1HWEq4afmS6lrqy0irnAfqlhmqdIjGvQOnYQMwdJmuEMyjFSJDGwibpmRucDREobx4i\n1R/sQcVOmCK70/8aNBpN3JTiJgOKVlvrcfuCf1MxTYy6prw6SEhEGjryRd+HiYs+dxGnffhU7Gmb\nu993J+NdpXvkh41l7hHNQPK4WER+V0T+vPB/aZIxRThOVjhMPP8vz/HLr76IGTO54eEbqV3tryIc\nBvZwH1b9Cub/PF6eRxodH0YSZUhsZowXQymfF3AHB7HWtJIvB/CauHahqjg9OeLvgvlVp4eQfX4H\nkQYL6SoiKHgoYE931xBvncRYV+St/9TjgE5eSSHnRKgwk3nOhgcZ78dT87cp4JjVtDt9s3gQL3q8\nzf94bNvosc0L3/LY5lWCuRCR/XGPbQe5FzpNFcqYlOHq/A/Z8oTHzoWcf03ZGGNUUzmV9G4pXnTp\nlFWPkuxvpHbFfu+q3Y48kzfSsYr0K6sov+DnEPVSgNmOGGC1VeP0jGGszwAne4w7gFQrms2iU3uR\nsgje1x5ABUZ9E87wAGbbDCvYf5oya5tJ73kZN5fBCCEIvBBEhCu+9n5G94yy/+ku7rr8Tj72zMcX\nVf+3aCxDb2cuROSt5Itj55WQi8gO4GOqWpKG0jKwrccutj+ynR/8YX52uPK2K5ekQlsdO18xHlLO\nB8AdGcKoD17hqiru4CRGo3/4xx0FomBU+MfGcn2NRFqCCQXT+2pJrArn4YxnqqmOjZcclnOlDBOX\nhKexPnaQcceIi7/2nxdqcuOMR8Ltl6gfYXqkNpDGHV05SG5/Q+A4szWH0+vvPYsIRmMCdyg4d2fU\nN+GODASOO3hsw8SqacI5zPAcgBk1ueE7N1K7toaBVwf51vX34zpHsRh6mYfmROQtwA/IG6H/Af4K\n+Ezh/5+QX5f9oDAuNI4bokWi/5V+HrjhAdRVLv6LiznlplOW5LjOxBBmeTVihafGuKMjGLXBtUY6\nmUYiJpLwP7Y74GI2B1uC3FAdkabguH+6p5p4ezi23ESmkqqYf3dPLzhSSY179BS1jxSyOoklZWiJ\nn6Qil2TaSuCEEFG24mkQsNP+IWSjegoQ3An/8JzZbOMMBAdXjPoE7nAIPbmyCnBddNrD9V3oHGpa\nsMfCGy8/JOoS3Pz4LXm17sd38f0/+N6SHDcUIiEfbx7+v8IZXKWqb1fVz6vqVwr/bwauBmKFcaFx\n3BAtAsm+JHdedge5VI6Trt/E5s9vXrJjO2ODmNXBrKYZqCru+ChGdXBI0B1NInXBeQRnQDEbgy8N\ne6iWSIO/PIoqpHuriLeFMy6T2Uoqo6V10lTAkQqq9BjowBkAxcXWNE6JVG4DpdxOkbTC5YniVeOk\nx/w9KBGwWkfI9fi3GzeacriDVqDnZNTGcUeCPVYRwaiuwx0Pnye0qhtxJodRd2mKUutPqOf6B2/A\niBj8/F9/wc+//PySHDcQy9wjIl9K921Vfdjrj6r6EPBt4PxSDnrcEJWIGSHTyQNJVpzbxlX/dfWS\nFsDZE0OY1eGouEB+1WiZSCyYIKFjKYwaf9o2gDusGA3+n8lNCWqbGBX+q1Z7NIYYilUR3Hoh51g4\nrkncKi285pJAyC1KCmg5IqdJbAn+neaiIpciaYXbL1Y1SWYy2GhZzePYg/4GyyhXENCU/3Ri1MZx\nx8P9tkZVLe5EOC8aQCJRjFg5bmrpCAadb+vkiq9dAcD3fu/77Pze4lQcSsLyJyu4wI6AMSV/UcfJ\nCiVAXeXBD32bnhf6qF5ZVSiEW7qvUO0smk1jlC2Uw5m/4tfJCYyKMLmBDO5EErOjDpihxnql7eO4\nozZGbYxDS6/X542yB6uwmtcha+Z4b3tmh0eyOyqISiqvblUMj4Xr1FgZZTKFFDlPAx52bu+c1+VG\nGaJTni27vQRjvDJ5Xj3/fhxyXy9/YaHoidf5zJ1XojrFJqOeGLP1zkc9HL7aIjJHWd0Uo9U13vLi\nnXPeQ1IkRxq9VRiKTshqmiC3vwFv/YhDaQCjFtzRaowKL6+0cI8kFGwXzU4g0YUWW/nFhFSW43bv\nx7vFvTfMyjqcyRHMSn8PrhSc/pHTGX5jiJ9+4Rnu/+D9fOK5T9C4qTTF75Kw/MkKL+B9uxTjVMJr\n1wFvtm09xvDjP/8RWx/YRrQywk2P3Ux5U+mrVj84yTHMimpKaJaIpiaRinDyJjqZxqjy95zUVdxJ\nF6Pa/xyc4QRmfXAMPzdURjQWrqHdlJugzCy9EDVKguwy1pQrFVlyCIpbYjIgMT3FVCKYmg8QjafI\npYOvX7N+Ens4+PoyahR33N+LFhGk0kIngun1UlGFpsK1kT94DhU1OMnwXlRYvOOv38mJ12wgO5nl\nrsvvIDW4uAaNobD8PaI/J68t95m5fyhQun8LeFdhXGgc94hC4qVvvsRPv/AMYgrX3ncdTSeFz+OE\nRV4zq7SCRp1KISHyQwCayiLl/kQFTSkSE8QKaKo3FsesDQ6z5MYSRKLhjERa45HhxwYAACAASURB\nVCSkdNabJTFs99hmy82FqRlsiWFq+JqoeCZDJhZDlUDWYSQ2TS4TXKdm1qRwx0PIB1WChrAbUm6h\nU8F5HEmUoek06rqEXZcZZVW4B94IHlgixBCuvv0DjO69lb4X+7n3qnv48I8/ghU7AtPn8veI3k0+\nWPBlEfk94Gmgn3x9yEXkWXPfA94tIu8u3lFV/2qhgx43RCGw7+l9fPeT3wXg0n+5lBMuDW7etRi4\n05OYFaXVIen0FEZLsAKD5hxwFaL+P7kmFakMznk54zGs5uCZxx6PE4uEW9lm3Bg1kdJi/AYWiuK+\niZ1XjwQsMjgSgxIIGKbrYjk2WTdCzPQ3YIaVQ9XAzZgYsYW/O7N6CmciEWjcjErF6Qu+bqTMxE3Z\ngfOtGAbEYmh6Ggnn5GHEK9DMNOo6iLG0M3qkLMJN372Z/zzrq3T9rJvvfvJhrvrm0uaHgWPBEP3f\noucn4F1Gd2nhMRfHDdFiMbJrhHuvugc353L2b53FOb8VqrX7oqCZKaR+BfkiUq/JYX5YTTPTSMxl\ndv5o/s+q6TQSt4qUvL3hTmeQhDK7eLZ9/rhUFcbYHtg6hzLbOfulnYtiDmdhLmnOwzHLGRGildlZ\nf/MKHhVLyU5LhDGynIt3BvVaj23/4bHtQY9tXneY1/TuNXcsFLzxyuJ6yRQPaJaclM+6CjwDaW+b\n/TIylSM3HiVmzDnTOQ6jAKaZxe6JEq2a47EWfSAxXcRy0XQVkphbT3NIBl0S0+j0NN45nUPXo8RN\nyLjMz/TN4BCBQmImZPqhzEukdf41LoaBRGJoNo3ElzZsDlDZVslNj97MbRfexiu3v0rDiY1c9NlF\niwl4Y5HUbBG5jbwK9oCqnlLY9nngExwqW/6cqj5e+NtngY+Rn2h+V1V/EPKt3rG4M/THsjdEInIp\n8P/I3x5fV9W/9xjzr8B7gSngo6r6K799RaQOuJf8nbQX+KCqzgsup8fS3HXZnUyPpFn77tVc+v/e\neyQ+4kG4mWmMaDhZnxloNotEQ9QcZWwIEUrQtGLEg1d5mjIxWoP1wJzJKKYEM+YAck6ESMBKfi5s\nIlj668GWK4ahNq5R+qwUkRw5DXdbm1YWJx2FuYZo7rmUZXCnLIzEwr+jxA00HVz4KTEDNxXuepBo\nBM2Wdj1ILJG/j46AIQJoPaOVa+64mvuuvZ8ff+7HNGxo4MRrTly6N1i8R/QN4EvAfxdtU+CfVPWf\nigeKyCbgevJd7lcAPxSR9WF04lT1qUWfoQ98o68i8s8i8vUj8cZhICIm8GXybt4m4EYROXHOmMuA\ndap6AvnGT/8RYt8/BZ5Q1fXAjwqv5+G+D9zL8BsjNG6q57r7rz8sIdMwUDuLRErUeLdtiIQwMLaD\nREJc5Vny5WgBcDMGEg2eJNy0iSHhDIWjJmaAxzbv+JiYvya07WIINrqIWckSByekITJMG80Fv4fE\nc2jGf5xEDTQbQiUvYkAupJpexAK7tOtBrCjY4QzdYnHiNZt45xfyjsGDH/o2vS8evqLDQSySrKCq\nT5PvnjoXXqvKK4G7VTWnqnvJO+pHLtQTAkEz69uBWbEXETlRRO4RkSERSYvINhH5j1IlHULiHGCn\nqu4t9EK/h/yXWIz3A98EUNXngRoRaQnY9+A+hf+v8nrzPT/eS1ljnJseu4VY1ZHVm1JVcGwww6+C\nZ4r3QrWKsF0wQ3g6NkiYeSwniBk8SWjWxAhhXFTBVQNDSpNTccXAWJzg77KG4KKLoEcZOLgh9zMM\nB9cOYYgiDpoNYj8I2MEGRixBnXCGSEwTdUo1RBHUOfKitxf+yVs55eZN5KZs7rz8jqU78NIXtP6O\niLwsIreKyEwbxDagWCW2m7xnVDJE5PdEJFxbXR8EXbGNFHXxE5EPk2/X+UHyIfl/B74LrAZ+KiL/\nLkubvVsBFDex9/rCFhrT5rNvs6rOyPvOMD7mwYgKNzx8EzWrSmq/vjgUssElfX2uCyH7FeEqmCHG\nuoSih6ob0hA5BhJCT1pVELRkjTlFQh3/WIOgizNEoqENkYiiboixhgtuADXbILB3UeEE89diuBPM\nX+MlQMRES9xnMRAR3n/r1aw4t5lUX3gpokAsLX37P8jPzacDvcA/+oxd7E1Uy7zMcOkIWvs+q6pJ\nEYkC/wD8DnkP6QJVfal4YMHa/iXweWYzKw4HYb+cMNOXeB1PVVVEPN/np7Gfkn04h/k9k82bN7N5\n8+aQp3O4WEhQKiyDyutnnSRfyFrcq8erLu1Xhf+Lc1VetUeSHzI3FD93beQAJ3qc0txaWi08ts/e\n7PXOxcLd1YW3SOJNEPDi63m1+37IY5tXUw0vAoPXOS7UlMBrxdPlse0UlFeAtQsc5yC2zXldQ35q\nmIuzPLaNkb8c5v42smnO6zLQl0HnEFOkWPbGJP/pvNQaij/1KPn470LsyM6i4/eSlxIvIfR6lMQG\nn3rqKZ566il2R3awn/CN/AKxgLfzVD88VaKUnuqhH6yQYvlu4eUBZtdmtxe2vWkIMkRfFpGvAeeR\n94AuJq+Y3wnMMkSFZP/vFdgbS4W5X1gH8+9xry+1m/xMvtCX3S8iLaraJyKtzAk/zuCCyQtZ/+pa\nbnjoZsQ4wle4AKqoanivSIRAga9Zxw85MMzSVgANcZ6ioU9xsTjWhU69sFhPT4v+DRyrgPcabDbc\n4HGqIS8whdC/mGrJP66qYiw1pdoDmzdvpmWsmXv/6j7Wsp7/8VQpWQQWMESb2/KPGfzla8GHEpFW\nVZ1JYF0NvFp4/jBwl4j8E/ko0QmUqISw1PB18lT1KVX9pKqeoqrXqOpPgduBPxORq4/C+b0AnCAi\nnQWv7Hrmi8U8DHwYQETOA8YKYTe/fR8GPlJ4/hHgO15vHq+J8cYju3jij8MyGxcPESMfZitFtNEw\n8yrFYWZ6M1wMH4tQC1CJKGqHUFy2HNQNkYcoTGJuiTOPq25JShTHChwMTEoPMbliht5PbRMjTHjV\nNpBIwDhbkEiI68txISzpx3HALJHY6+RK32cR6Hu5j2/f/G1Q2PyXm5fuwItU3xaRu4GfARtEpEtE\nPgb8vYi8IiIvkyf6/z6Aqm4B7gO2kG+R9RkNNYkcOZT8i6lqppArekpEfp+8YfoF+UqFK/DrpFb6\ne9ki8tvA98mvFW5V1a0i8puFv39VVR8TkctEZCf56Mxv+O1bOPTfAfeJyMcp0Le93v+6b32QOy+9\ng2f/8TkaNjRw5iePBB/jEMSMoHYOCXkjiQiYZp5ZFMScsyRPWAg6ZkRwQ7CaJKJoLvg8JergOiEM\nkYCBi4OJUUIoxsUhEobmd4zBxsRcRJGuYxihmYeubYYknBhIxP830ZwgVohcoO0gYXKVgNo2hlla\nZl7tHGId2T4Jyb4kd11+J7kpm5NvPImL//zipUtGLJK+rao3emxeMDqlql+gKP9/GPgOsOdwD7Ko\npUPBGJwJ/BPwb0XHeRzw+kIWjUIB1uNztn11zuvfDrtvYfsIeT0kX6x55xou+7fLeeQ3H+HRzzxK\nzdpa1rxjTUnnXwokmkCzaQjZIjy/TyRfSxRgiPL02jB1HoKmgycUI+HiZoKp5mYih2uHmxgimsMW\ni0gJdUEONvEQLbKPNWQlQnQR9VE5I4IVci3opiOYkeCxOmUiZf6UaE0bEA++vjRjQyykochmIVra\nIkOzaaTEWrxSMEt9/7w2rrztqqVVVzjGnPsCV+ClwIEBWLQPq6oHgOsLxaHrgD5V3X+4J7Tc8JZP\nvYWh7UM890/Pcf8H7uMTz3+S+vXBTegWA4kmcLPTmJ7ZZvD8uaLR/A1bXqyDMj9VLvFWNDPEwd7S\ngFedvyS0UJhYvFKemxEHo3wTbiw2P6M/J/NuVuaw26LzeTUeguGR23Jk6yIkoodkAA54xMKLm1E7\nmiNlWLSSj8XOhRev1Itc4LV68lJqmP9NeC9iF5In9iJUeO2fxMIgN2u8175r57AncukIkRPs+R/S\nI4VhT0YxG3Lzx9qHdMzVBXf6NIzyeo88UeehcWnFiCvg1SG6SAsjM4bEBDjJYxwUn0y+WLuShduK\nz4aqForCg1uiLAaqync++iA9L/RR1VHJDd+5cUnV94FjQeJnFkSkkjxFZlxVS+9oWcBh219VHVHV\nn/86GqEZXPLFS1j/vnWkxzLc+d7bmRpeQrpmEYxEOTpdmuKwxOPodAjBz5gFOQcNaHss5YKbDF7Z\nGlXZwM6dAFZVGjsVbmKIGlmyTmkrYIMcLpGSO5oud2QkRlRLK8xUhaxGiUWDFS9c10DVwoz5v4eb\niiOJLGIGkBWSEKaFkk7ZSFnwbKuqaHoKiYcUmgM0lwHDKKm7cSl46vNPsuW+rUTKI9z06M1UNB8B\nT3z5q28jIhER+ayI7CLPvdwLjIrIzsL2kq3zMeYIvjkwTIMP3H0dzac2Mrp7nHuvvgcnu/Qim0ai\nCmeqRENUlihofAWME0HKomiAvIpRaaBJDSRAmNVpnBCqzJGaNHYynCGKmxnSJRoiQTHI4XiJ1x3D\nSEuMuAYblGJkNYqFjWEEh1ZtO45lpQPrttyxMszq4IWXOxlOLFenHKQsxDyVLRiVEpRG3KkJzLJw\nLVFKxat3v8pP/uppxBCuvfdamk/xLD08fCzzDq0F4tcPyLcCX0U+/PKLwv+rC9t/VBgXGscNUUhE\nK6Lc9OgtVLSUsf/pLr77qYfDsdVKgFlehTtVWj8VKS/DTYXz0KQ8hib9vSeJSD5PlAwwRHXTOCPB\nK8JI3RTZiXCr2oQ1zbRTenzf0jSOHLm8wNGGYpAlSozSDNG0JkgY4VpuZHNlRCLB1409WoFZG1y/\nphNghOjPqEkbqQghSZWaQEo0Km5qDKMsTJPI0tD9fDcP/UaeWHvJP7yL9ZevX/L3OIhlboiAPyDP\nwHsEOFFVV6nqeaq6CthAnpF8Ed5avgti2YueLidUtVdx4yM3842LbuPlb75Cw8YG3vqnS6e+K/EK\n1LFxswuJn85PXhsVLTj7esiHaWfQ6bHv60hVBJ2YhLYZD8XL6NkYtYI7msOonLni53fTNBuj2ANV\neV2KYszJEUWdFNmRivmVpR5y12W1U3T1tM/6KF5T0XlzXvfoFH1SyVnzdWs9u7Z6+bKDHtu8ikm9\nqkW8+nUuRGnx0uiYm7q3JUFE06Tm1OWc7uUsvnro6VRNGWXWtHcz1Tm5pGymgmhVyjuZVTTROcNV\nWE2TeHP6Dy1qnJEIsdos3t9a/lNrzkEzLlJej/e1BzP5IHdyHKOyNKPiJEeJNK4saZ8gjO0b4573\n34WTcTnzk2dw3u+fv6THn4cjS/hbCtxEvmXz1ao661ZS1Z0i8gHy5IWbgL8Ne9DjHlGJaHtLG1ff\nfg0AP/rsj9nygNdUtziICGZFHc7ESPh9KqrQVPKg7pwfjOoY7nhwPsmoFdwR/zyRWZtFp2O4Wf+1\nTKQmhT0Vx7WDL7V4NE3OjmCHoHsXo16nGJHEr02eyJFy4lp6F9BUvJzydLj9slMVRBPBno49UI3V\n6N8jSnP5HFGQR6TjGaQqFoplppOjSGV4aS1VF2dyFGMJ24RnJjLcddkdpAam6dy8ksv+7fKl7z80\nF8vfI1oHPDbXCM2gsP3xwrjQOG6IFoFNH9jEO//2kPpuzwteS9DFwappwhkPr+UhpoWUV6ITwSE9\nqU3gjgQbIrPRwBn0D82JAVb9GPaQfyM/w1SilSkyY8FhFhGoSCSZnC4tCRzDoZIMdtgOassYCjhS\nQbyEhngz+03GK6hIh8sxplNVxMuDSU65nlqsNv9ryx0WjFpFAiZId3QaozZcCNUdH8aoDs9OdZOj\nGLEERmRpaspc2+W+6+5lcMsw9evr+OC3b8AMo15/uFj+ZIUcwTTGMkqsJz1uiBaJC//krZz20VOx\npx3uvuIuJroXzVycBbO6CWd8sKT8k1FThzs2HDyuNoFOpAOZc0aTgTMQzJyzGkfJDQR3lI3XjZMe\nCRdmqYwnmZwuPeHc4ibJypFJVB9NuJJAsImUWBeeKUzAsRAtEFzHJJcpI1rmb7TcrIkzWo7V5O8R\nOQOC2RR8vboj0xh1wYZIc1l0eqokj8geG8Csbgo93vf9VXn8dx5l9w/2kKiPc9NjN5MIaUAPG8vf\nI3oZuFZEPL9sEWkg34/y5VIOetwQLRIiwhVffT8rL2on2ZfirsvvIJs8/D4oRrwMicRwJoMNy8F9\n6hpxR7yyHLMhloFUx3GH/RPaZpOBO+yiAQoLkdYhcr3z80dzkWgYYzrAc5pBdfk441OlJ5xbdYKc\nlOMea4UYc5CTaiy39EXNWFk11VPjoYKT08lqYuUTgey6XFc9kdZRxPJflDi9gtkawhANpjAagr1W\nd3QQo6Y+XHsT8obDHunFqmsNNT4Iz//r87zwlRcxowY3PHQjdWuXLtwXiOXvEX2ZfFr05yLyCRFZ\nIyKJwv8fI69Z11QYFxrHyQqHATNqcv2DN/L1c79G/yuDPHDj/Vz/nRsxQkqYLASrrg1nuBerau4k\n7+URd2PUlZF7fQh1Jwo3r9fPmicoGA1VuIMZzKZ6vEkNDyERMOprcfpHsdpz5DsQz0f0xK+Q/MUp\nUHyfekSOE9OjDL62Hm3mEF3YK0m+EyrMJJlcjOx0hKiVo9aDJfvcXIIEAC5JTTIqVUzoof5gH/YY\n+d8e28722HadxzYvzZS9HtsW8s28CmzPLPzvYNIj5bS6A943plciu+A0jFfV0JAeyr/2suNFEavp\nVB1lNaP5bV7RL6kCILevg0jnROG11w+Wvx6d3izRMyzyM6SXF7MKTWfQ6S1IzYbCuIWmniTucDdG\nXQ2H1OYXvp4hT9tGXYzyw2fMbf/udn7wB3ltyfffdiUrL1xa8kMglvk6SlXvE5HTyTcT/U9mK93O\n3N1fVNV7SznucY/oMFFWX8bNj91SEEjdyRN/dPgCqVb9CnIjPaEICAASjSJlZbijXg0aZ8NsrsLt\nD15xW+05nG5/Co9ZPwm2iR1A47aqpjEiDtmh4NyPCNQkxhiZCudBFWPCHaXSqEWOUdLChFFLuU5g\nlCh2aovBhFVJdc4/hDaDqdF6ymqDPe7sznqia/zHuUnFTYHR4P+dO/3DGI11gV6OquIODmA0eHER\nvWEPdWHVrzhsIkHfS308cMO3UFe5+C8u5tSbTz2s4y0Kyz80h6p+DrgQuJU8Q25P4f9bgQtV1bPj\ntR+OG6IlQP36eq574IMYlvDcPz/PL//zl4d1PCNehllWiTPqufT3hNnUhDsYHJ4zmitxh5JogACq\n2ZHF3udfkyYC0TV9ZHe3BI4rWzVEal+4yaW+fISRZOnhkBxZMjpNhSx9LcmRhoNJSqqpcoMXE3Mx\nGq2lyp7A8iYyzYKdjZCdKidR7f8+mjPIddUSXetviJwuF6tDAtukuH2DmC3Bv7+mkqi6SGVV4FgA\ndV3soQOHTdue7JnkrsvvOChkuvnzmw/reIvGItW3jxZE5CMi8h5VfbbQmeEtqrqu8P8nVfXZxRz3\nuCFaIqx5xxou/8r7AHjstx5l948Or3uu1biS3MC+0OONpiac/v5AkoNELYy68kCvyGrP4QxaaMZ/\ngomt6yWzw6uF3GxUrB4kuTucIaouG2c6lyCdK10tYdwdptqowzjGLu0xo4FyncAqpQlcAUOxBurT\n4XKKqeEmymqHkYD8UHZnA1bbOEbc/3zsvYq1KtjLcXoGMNqCyQRufx9mU0to78Ye7cVIVGLEQ+gL\nLYBsKstdl9/BZE+K9gtWcOU3lljItBQsf4/oVuDSpT7osXW3LnOc+fEzOf9/n49rK/d94F6Gtg0F\n77QArLo23OnJ0JI/UlGBmCY6FkzjNlbU4HT7r4glqphtuUCvKLb+ANndzWjO/1Iq6xgmO1pObjKY\nXmuIUl8xzFAyfHhmBjmypHSSGiOYRLFckCHOtJRT7YYnqBzc14gyZZVRlw3nSU0ONVPRGOxpp7c0\nE9/kP05dxd7jYq0JMEQj40jExKgKDs06fT2YLeFJB7m+PURaVocePxeu4/LAjd+i76UBajqruPGh\nm7Bib2LqfJFkBRG5TUT6ReTVom3/ICJbReRlEfm2yKFQQUETboeIbBORd5dwhv3eZ3B4OE5WWGJc\n8veXMPLGENsf3sGdl93BJ3/+KcpCMIXmQgyDSNMqcn27MdcspOUM+caz+fCX2boBp3cSo9brRj60\njDLbG8g88RrqdnqEVK4/+Cyy5gC5neNE1i9gjBJNGAmwVqTIdJ1I/KRBSHnUQL2Y14SrqB5k8skW\n6tr3effhLpItaHIH2WZvoK2yB2OOwkDHAvPjjNly3GH2mJ1skklqdD5D8B0e+z7ise0yj23f9Njm\nRXRYKEg2/5cUJsxmOt1B6otyQ54m2CNaNVDTRD3DGDVF35GXuMHp4ExHSD9bQ9v1L3NQms8jmqsV\ncTJbWin/9AscIgXM/9KdAxGk0sGoLKY275o/rsvBbI/P+dt8Foo7kUZtRWpOJExrVic5hmbTmF6M\nlpD44R8/wRvf3UGsOsrNj39oUffqkmLx3s43gC8xm4vzA+BPVNUVkb8DPgv8qYhsIn+jbyLfofWH\nIrJeNUxrZh4H3i4iRsjxoXDcI1piiCFcc9e1tJzexNiece656m7sTOnhFoBIcyf2SC9uNoS6NmC2\nrcPp2406/rkCozKOlEWDw3MnNGDvGUZz/tdb4rQ+0i8HTwZVTT1MDKwIHAdQZkyTkGlGYqXnikxc\nWtw+eo0W7GV+iZtGA3HNUqelid0COGIwII20uOFyiRNvtFLeOYQR9b8+sntqMSoyWI3+WnS5N3JE\n1vsnLFTB2TeBuSo4b+ccGMVsOyF0WCzbs4NI65pFd+h94asv8Ow/PYdhCR984HoaNi4DL3qRHpGq\nPg2Mztn2RJGxeJ6ZVStcCdytqjlV3Uu+H8w5Ic/wz8iTQm8r1AwtCZb3XXqMIloe5cZHbqaitZyu\nZ7p5+OMPLUogVSIxIg3t5PrC5ZskUYlRWY870Bs41lzVgLPPPxRklMcwGyuw9/obwtip/WS2NuBm\n/S+nRPUIrm2RngyXiG41++hNtLIYadkKnaJSk3QbLYva/2jAkApMqaDT7V8Uz2+wvJFKnSQeQhxV\nFSa2tFG16UDg2PSvWoifHhSWE+wddqAhcocMMAWp8Q/JquPi9I5jrjjBd9zB405P4k6OLJqksOuJ\nXTz2W48BcPl/vI817zxyDS9LwpHLEX0MeKzwvI3ZTcu6yXtGYXAPMEG+MqKrEPp7UkR+PPdRyskd\nN0RHCFUrqrjpkZuJlFm8eudrPPUXTy7qOJHWteQG9uPmwikxmx0bsfcHd+61OhtwukbRnP/qOLKp\nhdwW/5WxWZEjunos0CsSgeqWLsZ6OwLPD6BaxgFlNFo6lRvy4T0Xg75lmC8SYlhGEzmnB6tEujaA\nK0JPVSsr3HDyUun+atxMhLKV/osPzZmkX2kmcYb/YsbeW4dRbWDU+k8hzu4I5uqaQC/H7ZvAqIpj\nlIVbpGQPvEGkZQ1ilp5dGNwyyP3X3oc6ygV/dD5nfuLM4J2OFhZgyT21Cz7/2KFHKRCRPwOyqnqX\nz7Cw67W3AacUnsfIK26/Ddjs8QiN4zmiI4jWM1v5wD3Xcu9V9/KTv3ma6s4azvx4aRe9EUvkvaKe\nncRWLdTVsmh80yp02zO4E70YVcVllSfPGicJMJq24ezvxlpbHDaZfUlE1jeS/p+tuFO7MOaFz99z\n8FnibCX1dCNln/GYwHKH8kbVqQPs/c+34iTfmN+meo6QuQCN/9bN/pUdRLeMHvQaVixE0vOYY1c2\n9fCzwQ7sMoc1lfnIhelBRnx1/ib+wWPb5zy2laLueE0FpNwIz2ZXcHKknxYzwzMesnJNXo3sixzT\nfreJck1RfprHIsHDSRl7fiXVa7qQufyZ82YbkvQLq4isSmLWzOUJz772cq9XEdm0ktkdf2dDcy7O\n/v3ELz+fvPxYMdoPjVPF7noMa825eGN2aNuZmsQZHyK22i936o3J3knuuPR2MhNZNl61nnf93SUl\nH+OIYgFvZ/NJ+ccM/vLhcIcTkY+ST3e+s2jzAaB4Ndhe2BYIVT0izstxj+gIY8MVG3jvl94LwKOf\nfoSd35/fnjsIkbZ15Ia6cDPB/WPEMLBWtmPvC26Ya62rxt4x5hs2lKhFZJ1L7jX/SyW2CZxhyPUG\nFLeWZ6lY389YfzivqGJsHNN2GG0snUEHEDVczq0/wL5UNbsmF+dZLSUm3SjPZdvZYA3RYpausA1g\nq0mP20aHMb8lvBdy2Tipnkaq1waPn3r2BMrO9Q/LuSkDe3+USEBOxdmbxGiOI2X+BAAdG4RsBqMx\nXHQo27WdSNu6kr2hbDLLne+9g4muSVac08o1d14bWP901LGEEj8icinwR8CVqlocX38YuEFEoiKy\nmnyTkJ8v0SdYFI4boqOAsz9zNhf8UZ7Wff+199H3cl9J+xvROJHm1WS7toUab3aswB0YQtP+uR2j\nrRyyLjrsPy56mkv2VRM/joyYQtl5wtQzwQam9ty9jPWvxHWCLz8BWvftZ6BjBY65uOB4wrI5v7Gb\n7qkqto43vGk5I4s4z2fb2RgZosNavEhut7uCOhmhTMI1wRsdXEX1mgOYUX/STK6rDmcyTmyTPxU8\n92qcyPoM4kNzVlXsHRNY64NDbfbe1zA7N4UiHTgTI7jTSSLNnYFji+HaLvddey/9Lw9Qs7qaGx+5\nmUjZMmz+s8gckYjcDfwM2CAiXQXdty+R12F6QkR+JSL/DqCqW4D7yLfrehz4jC51l88ScdwQHSW8\n6+8uYdMHTySbzHHXZXeUrNYdbV2LMzGEkwyuF5FIBHNFK/Zef69IRDBPqMHe5n9Mo1mRuGLv9l89\nJs6D9CvNOEn/GzzWkCJRORbaK0qkUlSOjtHf0R48eAHETZvzG7oYy8bZbazAPspVgTGpocJs49RI\nHyvM0hlyM0hqOcNaT7sRKpKCnYsyMdJGzca9gWNTP9lI+QU78LMH6kD27NlLfwAAIABJREFUlQTR\n0/2NoNufBlcxmv1Vq93JUdyxQcwVwQFOVSWzbyvR9vWIEf73U1Ue+fR32fX93STq4tzy/Q9R3rj4\nAtgjikUaIlW9UVXbVDWqqh2qepuqnlDooHpG4fGZovFfKCgibFTV74c9PRH5tIjsEhHPALmItIvI\nbhH5RAmf+rghOloQQ7j6m9fQcWE7kz0p7rj0dtIhmtQd3N+0iHacSGbf66EYeFbnKpwDvWjGn+Rg\nravG6ZvCTS7cdkAEYme5ZH/pf/OblUL81H6mfhrMZKpv38lo72rckE3wWvZ3MVFXS6qytF5FxYia\nLuc2dJMgw3ZzFRNHoX+RYFJhtBEzqphwumgyw7V194Krwh6nk1XGfiISriRgpH8NVXU9RMr8rwN7\nuJzMGy0kzvMPHee2xzFqHczGAMWFrWNYJ1YHkhTs3a9gdZ4UKsxmD3aDYWDVl6ay/fQXnuZXt76E\nFTe58ZGbqD8hfJ+jo47lr759E9Cnqp4sGVXtJs/Cu7mUgx4nKxxFWHGLGx++ia+f9zUGXx/ivmvu\n4ebvfSh0wy2roZ1c/17soW4ijX7eRAsSB7NtAHvPEJGNb+GQknExTkIiYK0T7K020bNPAp7xGNeA\ndYKSfjqJ3VOB1TZz2cwfW755gOEvv5Xyt23HSBQmK4+1U+zkJGXjw4xMd9JwaqHQ0YOlXv7XM88c\nVvftZX/NGupXvIZpesQJ75y/6XUPYkKWIaKSYq/RjKkZ4u4Q7/Xo//Pi/F3xSqev8th2CsIBqaHL\nqKVVx+l0evLzR3z+2Au98v0eNvJARRuRqRz164YP1Xt6kRoKl0Z2LMHEtlY6f+MZH3JunsSSerKN\nsvPGMeIbyROh5qITVSX7QprYRVG8VbYBVuGOTuKOdRO9+CT8Zk03OYo70kfkpAsWHJOHhdpZst07\niK8/B5HwIbWXb3+ZJ//PkyBw9R3X0HF+OC/8TcMyV98mf3F8K2DMK8AHSjnocY/oKCNRl+CW732I\nssYEe368j+9+4uHQNUYiQqzzFLJdW/n/2Xvz6LjO88zz992l9gIKO0CAIEiC+y6u2mXJkmzZli3J\ntixLlqw4mZ7pzrS7k/Rp90xmYnf3STrOSeLMpE86E8eWZEmWFVteZEnWTu2kSHFfwQX7vqP2u33z\nxwWE7VahQIIm3YfPOTpCFb+7VNW99/m+933e55UFNEDTlq3H7jqPTOdPimurV2C3diBTucMtQhH4\nt/sx9uY/rlaewr+6j+Q7c9dllG8+w0hTPWaqsK6apdUjFJWN0dLbUND4fNBlmqjdiiqzJNR6kkoV\nNvP3tpsJiUJGxNirNjAqgmy221nmDF70jTZmROkfqGBZQzOF2qANvL2Skq2taOH8v5k1pJM5Wkz4\npvyWVNY5GxTQGvJ/GvNoC/qaesQc7VCsMwfRlq5HaHMTS7b9FGpJNWqk8GZ5zW8286tvuPKyO//m\nDtbet7bgbS8brnDTU9wmI3P5iI0xvTnMnLhKRJcBJctK+OoLD6IFVQ4/cYS3vrO74G3VSAytpIZs\n+8k5xwp/ELWuEeuclzh5yriAH3VpPeaJprzj9HU6dr+N3ZO/9ijyySZS7y3FSeZ/sOvhDLEV7Qwc\nXJl33FQsWdtGIhOmf+Tia4MEkoAcImo3o0qThFpHXF1MRpRg4ytY1OCgYIgISaWaUXUptgiwwe5i\ng9NFeJ6dVr1g2Dpnx5azrKEZ30zJew6k2krIdBdTsq1lzrHJVysJXTuEEs79u0opye4x8e/U84bb\nnOEEzsAYamN+I1xnpB9ndBB1sdfqazrsxDD2cA/+xavnHDuBvuN9/OQLz+CYDjv/7Q52/btrC972\nsuLKNz3tAebqj7EBT/Oo3LhKRJcJtdtrue/Hrnz0re+8zaHHDhW8rW/xauyRPqyxuU1VtaXrsPs7\nceL5e9Xoa1dit7TjJHM/jIQm8O/0k3kvf25LK08R3NRJ4rW5q+RL1zWTHigh2VPYBErVHFbWnqGt\nfzHx9MIknBUcAnKIIvs8AWcQR+gk1UUk1OUklTrSSiVZUUpWxPCJGD5RQkApJ6TUEFEbGFOXYogi\nNJmmyG4h7PQQLcDtoBA4UnBmrJHKQD+x4sL6DTmWoPe1tVTeegpFz18sa3YFyJ6KEr45/3PDOuNe\nF1pj/qegefg8+tp6hJZ7nJQS8/Q+tBWb58wNScche/4wvvp1CK2wFWu8K85TU2qF7vibO+fe6ErB\nlZ8jegP4tBDiRq9/HH//08Dr89npVSK6jFj9+dV86u/cm+T5P/gVZ18prMZIaDr+JRvINh+Zs3me\n0H1oy9Zjnc4vchDBANqKZVhH8ofx9PU6zoiD1Z4/WR2+o4n0gTqsgfyCAEWzqdx2gr4P1+EUWCsX\n9GdYVtPMmc4VZI2LD6dNQAC6TBFy+lxCsVvwyyFUmUUKgRQ6ivChCBVH2pgyTsruotg+R8Tpwi9H\nUXLanc4fUkJzfCm6YlIbLkwlBzD84TJ8pUkiKzwMaGfsP/5CNeHb+lGCuQlLOpB93yRwvS/vasju\nzyBHEqgr8tcDOb19YNuoi7zcWafD7D6L8AfRyuZuNQKQjWd56q4nGetIULtzEfc+/cWL7pj8W8WV\nvyL6LmDgSsL/VghxhxBinRDiTiHE94DXxv/9L+ez0ytWrCCEKAV+gpsLbgG+LKWcFZscL9r6Hu7P\n830p5V/m2378/Z8B24DHpJT/e65zSKfTqKqKpmkoc3SWvFDs+MOdjDSP8MHf7OHZe5/l0bcfpeaa\nuVVBWmk11mAnRvspD8eF6RlxdfEG7PYTOH3nUKvKc47T1qwn8+vzOEO1KKVT1Wl7P/5LqBC4XiXz\nlk34wU0e+Qp3taRGIHxLL/FfbqXk3hdmf4AbJv+MMEA8OcpA60oq62bUSp2YvSkdUMIIWaWbU82r\nWBs8ia5YsGX20NUeZXqqx+LrvaHZ75VjgxxXuY1zuFeHqPk4K3hG6rzkuMXQPrCYNAHWLD7lSqq9\ncgMz9pcZiTJyaDH1j34wfbzHZ86ersMecQjtfItpRWJierjMPBpChGOoDVuZ7oo9qT6TUmIeOIC2\ncQ1CnVk7NHnNSdvCPP0B+oYtCOFVwjA51k6OYvY0E1x/U0FGqLZh8+y9z9B7uI+SZcWuxVbw0iRU\npJRYloVt2zgLWYJzhYsVpJSnhBBfAp4Gvjn+31SMAV8dr1UqGFfyVOFbwKtSypW4y7xZ7WeFECrw\n97iNmtYCDwgh1syxfQb4U+BP5jqBoaEhenp7aWltpaW1le7uboaHh8lkMhdkYpoLt//VHay7fy1m\n0uTJT/2IoXMeT0UP+BvWYw12Ysfz+4cJRUFb04h1+lxeZ27h86FvWIJ58Hzez6etshGKxDyRfzUS\nvrEXa9BPpmnuivnK+0+SGKkiFS88x1nt66VMG+JUZhWWvMLv4Hmia6iGkWQxq2qbUJXCvOgcW6Fn\n/wYqbj2NXpQ/NChNlfhrWyn6/D6Elmc1lBVkP4gSuHlV/tVQax9Iibo0f62Xdf4kSqwctTR/js8N\nyR3CV78GxZ+/FskdL/nFI89x/rUWQuVBHnr54QVt6WBZFmPxOH19fbS1t9Pc0kJXVxcDg4MMD8+/\nq25OXPmhOaSUL+A2G/kPuJP618f//yfAcinlPN3wruAVEXA3rpkeuG1gdjObjHYAZ8etzBFCPINr\ncX4y1/ZSyhTwnhBizgRGba37AJVSYtk22WyWTDpNX38/juMQDoeJRiL4/f6L6ugoFME9T9xLqj9J\n8xut/OiTT/CNPb9PpCp/zYzQ/fgbNpI5d4jQhpvzxtvVshLs4ijW+Tb0FbkbianLq7GaunDaB1Dr\nvW11hAD/LSbp50PojSbC701aQpMU3dPK6DPb8S3pRfHnDuepYZOqJcfoaVlP/eoP0ApMytf6OrEN\nhZPp1azmNPoFdDi9kiCBzkAtg2OlrFl8Cl0t/PP0H12FL5okun5u9/XEOxvQFw3gX5Hfzif7fhRt\nWQa1MppzjDQtrEPn0K9bm1/IkBjDbj+L/7q5czZG52mEL4BWPrfcWkrJy//+Nxx75gR6WOfB3zxE\naeP824fMhG3bxBMJEokEpmkSDAYJBoMUFxfj8+UPU14wfkfmU1LKAeCvF2p/V/KKqEpKOXGX9OLV\nScutjmif8nqqnflc2xe8pBFCoGsakXCY8vJy6hcvpnbRIlRVpbevj87OTuKJxEWtklSfyv2/eIDq\nLVWMtIzy5J0/Ijs2d8JbK61GLSon23pszrH66uXY7d048dx5IKEI9G3LMQ8053Xm1hY5aEsNsu/n\nn636V8TxN/SQ2L15zvMLFw0SLe2mp3UjhX6VQkC9r50SdYQTYg3ZBZBgXy5IoDVYz7AeY+3ik/i0\nwhV38Y4qUr3lVG05Pqe82+wuJX1kGdHbP8o7zu7XME8F8d+Y3wnCOt6KUhlDrcwtrZZSYp34CG35\nOkQg/0rFjg9h9bfjX7a5oIf9e999j73/z4cousL9P7+fRVsLyyflQtYwPl75ZLNZSktKaFiyhOqq\nKoqLii564pkXV758+5Lgsq6IhBCv4m3f+39OfSGllEIIr0fTzPeEx3v5tr9g6LpOaUkJJbEYqVSK\nkdFRhoaGKInFiEajF3Sh+qN+HvrN1/jna/+J3sN9PPP5p3nwN1+bs3Wxf8k6UkffwhrsypPUbUD4\nQWuUmCfO49vxKYTw6nMUQ62KYVcOYR3rRd+ylqku29OOe+N+ko+n0dfGUKsm5jSzZ/DR+7oY+Osl\n+LeX4F8+Tq7Db8/e4XYo33qWjue3MSgaKd9+1rsQc4YhiQDq6EQ7aXFcWcsK+yzR8QJedc3szfGI\nfHp1WfX6du7yakrmEdkSuRJHXs/0T4NtK5w7uwzL0liz6hRaicckwGtxsAmyfWH6frOW2q99hLrI\nctuWzcQ4p0lLYfT5XURvOYjqz4Dwcp8uRzqQeU3Df72DEizFLR+ZiSTOSArrXBeBu9YDSbwLXRPY\nnW1IO4taX4NbXO0dmpOWSebcQfxLN6Loc9eXHXrsEK9/63W3YPWJe1h++9wCiFzIZrMMDQ+TzWYp\nLiqifvFi1Av0N7xg/I6siMC188G9Qz1/KCmlx03ujctKRFLKnB7s4/3Xq6WUPUKIGsBLApTPzryQ\n7fPi29/+9sd/33LLLdxyyy1e50k4HCYcDpPOZBgaGmJkdJSy0lJCodC8CSlcGeZrrz3CP1/7fVp2\nt/Hcgz/jiz/5Ul7lj1A1Ao1byZzeixKJofhzzzjVxauwe1qwW0+iNeS+0fVr1pF5cTfqklqUHFEO\nJSjw3+Qj/UqW8FcDCNX7syohSfEXhxl9ppTyP+pBCeZR7ymSmtsP0/bzXfhL40SDhXUfBaiWvfid\nDE3qChY7HVTI/gtqOPfbRjod4ExTI5FogsYV51CUwudMdkqn68fXUHHnaQKL5vYvjL+7CbUkTmBt\n/p5VxiEFFNA35MkfSYn5YQv6xlpEMPdKVGbSWE2n8W3fmfd+kFKSbT6CVlyJVpK7vcQETv/6NL/6\nfbdg9VPfu5P1X1k/xxbesCyLwaEh0uk0sViMqsrKOcVJu3fvZvfu3Rd0vLy4kmNU4xBC3An8LeBV\n2CWZXBAUTKviMpuu5oQQ4rvAoJTyL4UQ3wJiUspvzRijAadxe2104VqZPyClPDnX9uN9OrbmUs0J\nIS7IkFZKSSqdZnBwEE3TKC8rw+ebf7io51APP7zpBxhxk+3/Zhuf/n/vmpPUjK6zWMM9BNdch5h1\nI02uVJzkGMbeF/HtXIcSnhlamxxnnWvDamrBf2dlDrv8j9zP+1wWrVbFv0vHFSjOhDs3GH2uBJkW\nFH91CDHiMVk6PPlnZiBK5wvbWLTtAMGSGfUzuSwax3U6aQKcURsJyTQN8Ra0mZJqjxWR4cF3Xiui\n1Qu4IpLAQKSctprFLF7cQWXVlFoer1XNjBWRYyt0tm4lsGiUijunFCN7batCtrWK0Reuo/zrL6JM\neM9Vzp4LOiONJJ/WCT1gon7cOeOrs8ZZp9uwWwfx3b5myrU5fQnrqunOoBTH0BqnFi7PXhGZfe2Y\nPa0E1984p6lpx54OHr/1May0zfXfuo5P/sX8+wo5jsPo6Cgjo6MUFxURi8UuWB0rhEBKeVHzHiGE\nlAcLHLuFiz7ehUAIsQt4G7dg9WfAHwJvAU24Wtg1wPPAASnldwrd75XMv/8NuF0I0QTcOv4aIcQi\nIcQLAFJKC/eLeBn3MfQTKeXJfNuP76MFN9H2dSFEmxCi8JLtOSCEIBwKsbiujlAwSGdXF0PDw/PO\nH1VvruYrv3wA1aew77/v550/n3uVq9csR6g6Rkf+dhFKuAht+SbMo01IJ/d5qcsWIwI+rOO5VXxC\nCIJ3+DAOmth9+dVdRZ8dwerRSX84dyFqoDxO1S3H6Nq3BSMxP/VTkAzr7BNoWByJbmBYK9wW5rcF\nQ9VpqlxBd3E1q9ecmk5CBUBK6DmxATVkUH57fkcMADsRYPTF6yi+64NJEvLarwPplzV8O+0pJDQb\nTjyNeawTfdfS/Gq6jl6kkUVdll/kbifHyLafJrBi65wk1H+yn6fuehIrbbPp6xu57c+9DPfyI51O\n09HZSSabpa62ltLS0ktWojEvXEQdkRDim0KIo0KIY0KIb46/VyqEeFUI0SSEeEUIcbE3w38CssAO\nKeW/HX/vTSnlv8J1VPivuA6Ic/nRTcMV8M17Q0o5JKX8pJRypZTyjokaIilll5TyM1PGvSSlXDVu\naf4Xc20//m8NUsoyKWVUSlkvpSys0c88IIQgFouxuK6ObDZLR2cn2TmcsGdi6SeWcu9T94GAN/90\nNx/9U/7kshCCwPLNWIOdWMP5ex6p9asRmordnLtZmhAC385NWE0jOMO53RSUqIL/Zh/pl7LIPPl1\n4ZPEvjZI/KVizN65m9RFlvRTvrqJjj3bMFMebqF5oOLQ4LTSmDpHa6CeplAjGVGYp92lhIOgu6ia\no7XrCRsp1nceJxwurK/QBKSEvtNrsU2d6nuP5m3bACAdwegL1xPccBZ/Q/7rwthfBgJ81+QrcJWY\ne5rQ1tagFOUWqzjJNNaZVvQNmz1W6FP2Z5lkzh7Cv2QNSjC3Og9gtH2UJ+94gsxwlhWfaeTuf/r8\nvMLfjuPQPzBAb18fZaWl1FRXo+tXUPb/AuXbQoj1wO/jpjs3AZ8VQiyngDKYeeJa4FdSyqkV1gqA\nlNIB/gxXtfyf57PTK1m+/T8FNE2juqqKRCJBV3c3xcXFlMRiBd88a7+4lrv+/i5e/Dcv8ut/9Wv8\nRX7W3587Fi50v5svatqHsi6KEphYfUz/qYUAff11ZD94A6VsGUpsojhx+oNKhKLo19RhvN+L/87V\nCG3qXTBZSKuvkVjN58m8XUzwtpkFud+d/D4qoegLcUaeu5Wybx5ECU8RN6yd3T+pmC6ckE7Hvu3U\nfXYfejQD9+T48B7W2EWvxdkoj9KdqOa4by2lwSFqS7vwiemM6fPY52qvOZ1XUzKvBVvD9JeOFAxa\nZXQatQRFmrX6SYKRjOtM7pUG81JPME5Cx9aQTUWp3bUfJeRBGDNU9/EXtkAgRuQLDiifmDF4Muxp\ndUcwDpQQ/motbtQ7x7iTfSBstFWbYFYWzi05kI6DeeQo2vJGlEjuSgkpJZnzB1GLytHLvXzMJ5Hs\nS/LErY8z1pGgbtcivvTsl1G0wufS6UyGvr4+AoEAi+vqfvtChEJw4ae0Gtg70YlVCPEWrgN2IWUw\n80Ex0+u6DeDjEMe4MOw94IH57PSKXRH9zwQhBNFolMV1dWQyGTq7ujDNwqW52//1dm75zzeDhJ8/\n9BxNL+QPxajRUvTalWTO7EfauetQRCCEvnYL5pEPkXnOR20oRSkOYh7KbTMjhCD4ySVYLUnMpvxJ\n8+DmQQKb+xn50RqkPTchl2xsJbaujY7nt2PG57cyAlCEpDbazcaKoyjC4Yi9gfP2UpJy7kLJi4Ul\nVbqNKg6nNjJglbNMP8cqfxNBpfBeVBOQEvqOriE7WkTtro9Q9bnthNIHlpI9UUfsweH8De8yKukX\nVxC4rRmlKPf81BlKYZ3qR792cd4229bZswi/H7U+f28qs/sc0sh4uINMR2Ykw49uf5yhs8NUbqjg\nqy8+VHCHVSklQ0ND9Pb2Ul5WRlVl5ZVJQnAx8u1jwI3jobgQcBeueKuQMpj5oB8omfF6plRRx7OR\nSW5cJaLfIjRNo6a6mkg4TEdnJ4mEV48gb9z0pzdz7R/v+rjdeMtbLXnH61UNKKEiss2H8+an1Kpa\nlPJqzOMf5RwnhEDfsRincxS7PbcDvPBrhD5TS+b1Huzh/K0HIp9qQfhsxn7WWFDNUMnGVmIbW2n/\n5Q6yIxfWHE9XLZYUtbNJPYJfZGmyV3LUWke3U00mu3D1RzYKQ1YJZzLLOZTcRNKJsCJwljXBUxSp\nhf/mU+HYgp6DGzHiEWp37kfV5y50Nc5XEn/xGkoe3o0Syv0lSwnplxvRlg6jr8idD5SGjfFuG/q2\nWpRw7u/L7u/H7upCX78+78rfGu3H7DlPYMW2vHkhI2nw1Kd/RO+RfkobY3zt1YcJlhQ2iTAti66u\nro9zQeHwFdqZdQIX3qH1FK6/2yu47b8PwXSVzrj66mLVaU1MJ54PcHPxqwDGFcr3Amfms9OrRPRb\nxkTuaFFNDYNDQ/QPDBQkZBBCcPtf3cE1f7AFK2Pz9GeepnNf/hWKf+lGnEwSs/tc3n1rqzYi00ns\nttzjhE/Dd/1SjA/bcBK5c11qdRD/dRWkf9WBNHLnGYQCxQ+ewuwKk3ytsGZlJevbKN/VRMfubaR6\nL7xyXhcWtUoXm9XD1CvtpGWA42fWcfjkBlo6ljAwXEo6EyjojpWAKTRGfUV0hms4GVvFgYot9JqV\nFKljbAofoTFwjoia30w2H2xTo/PDrTi2UvBKyOotYuTHN1D8lXfRqvKvUI19i5ApncDNXk56Llyp\ndgdKdQRtSZ7C1XQa89gxfBs3IvKoRZ1MkuzZAwQat+a18LEyFs/c/TQde7qI1kV4+PWvz+k4MoFk\nKkVnZyehcJia6mo07XcgE5EjJ7R7L3z77yb/88J4e/BtUsqbgWFc0ugVQlTDxyQx7zKWGXgJuHnc\nsxPg73BXPweEEPuAU0Alrv9nwbhi5duXGxcq354PbMehv68Py7apqqwsKGnq2A7PPfQzjj9zgkCJ\nn0ff/j0q11fmHp9Nkz7+Dv5lm9BiM1flk6sbJ5XA2Lsb35aVKLGZppWTDyjzZC926zD+21ciVK/Z\ns+swkXmlG2k4BD9bixB/5THOndHbYzpD/30T4U90EFrm4VDqYZ2Yaiqh+/1NlK0/S/HyjkknAa/m\nxa95vOchUJPrIJkOM5aIkkhGSKVDGBkfPttAt0w0x0JxHBAghcBWVExVx1B9ICBkpQibSaJmnCIj\njrYsB1l4ve1VMvNZ939GIkTXvi2EKgapWHdqtmuCR5sdOxpi8B/vIHr7YYLXjNcLaTNzQy7M8zqZ\nV5cT/upRlOjEKvbLs8ZZp8uxzg/hv6NxSsO76Tkd6TgYHzahVlaiLZvaGHG6/5y0TNIn3kOrXIKv\nOrfdlGM5PHvfM5z+1RnClUEeffcbBbX5llIyPDzMWDxOVWUlweClD8EumHw7t3Zo+ti62fJtIUSl\nlLJPCFGPqyTehWsOkLcMZp7nWITr63lCSjk2/t49wH/B9f9tBv5WSvn/zWu/V4nIG0IImTEsVEWg\nKuKSWXpIKT+uZaisqCAUmju0aps2P7nnx5x54RzhqhC/9+438npr2fEhMk37CKy5DjWUW5Vk97Vh\nnnwH/66bEf6puZjJAh8pJeZ750BX8e30Ur27fofSkqT+JYu6RCFw3RGPcZMKQGsgxNA/7CT62UME\nt7RPH9bmEeI7A8ZoiK7XNhOoGKXyupMomuNGyT3GzoKXhZ7H1+40C7KGH9PUsWwV6SjILChIFNVG\nVy18moGWsGYTxGc9jgHebuJe/cfPQ3ykkr6OtZTVnCVW1gFeXDKj6aidCDD0+GcJXTdI+MapZriz\n3THsQUnq2SzBz6fRFk1lyD+aPq5vEOPdj/DfcTNKZGpoa/rKxDxxApmV6JtnumVPXktSSjJNHyJ8\nQfwNG3LeV9KR/Pzh5zj61DH8xT4effv3qNo4d3rDtm16+/qQUlJVWXnJVkFSShwJtu3gSAj6tYUh\norltAt2xNZ5E9DauJboJ/Hsp5ZvjK5dngXrydDG43LhKRDkghJBHzw1hOxLbkeiagl9XCPhUgn6N\ncEAj6FcXjKDS6TS9fX0UFxcTKy6ec79WxuKpT/+Ilt1tFNVH+cZ7v09R3cyVzCTM/naMziaC627I\na51inn0XZ7Af3/brp0huD08bI02b7Csn0FYuQlsx01Jo0njXSUqSP84QuL4dfc3M8NB0KbrZE2H4\nH7dTdM8BAhunhBxzEBGAY6r0vruO7FCEmlsP4+/0CH9dBBF59nzwirB59au7CCJybIWB91aSGK2k\npuEwwfD4AeYgIjsRYPiJ2whsyRK5fWYEZjoROUlJ8hkT/7VpfGtnClUmiUim0mRefhffzi2oi2Yu\n3SaJyOrowG5pwbfrMx6tvyeJKNt6HCc1RmDVzpySbiklL/7rF9j/Pz5CD2k8/Poj1O3K7+oNrkVP\nT28vkXCY0tLSBbs3TcshkTZJZW0yWYuM6WCYNgJQVQVFwPplpQtDRAUaiYiqy1PQeqnwOxA0vXxY\nv8wVh0gpMSyHrOmQyVokMxZ9IxksyyEa0ikO6xRHfGgX0YArGAxSV1tLT28v2WyWyoqKvAV2WkDj\ngecf5PFbH6NrXzeP3/oYj779e0SqvePnesVinEySTNM+gmuuzZkc1pavwoyPYp04grZuk+fNLHQV\n300ryL56EhENoVZ75wyUsCD0BT+pf6lGhC20+lTOz6NXJyj5g7cZ/v6NSFuZvTLy2r9uU33LEcaa\naul4YQcllc2U1LTMafp5JSMzXETP/g341ARLVn2AWqDxqR0PMvRez4u6AAAgAElEQVTEbQTWtRK5\nPf8XIA1J6hcW+hrFg4SmjLMssm/tQ1u11IOEJuEMD2OdOYNvxw4PEpqE0dOMNdJHaN31eUnolT9+\nmf3/4yNUv8pXfvVAQSQUTyQYGBigvLycaOTCxCxTzyGRthhNGIymTCzLIRzUCPk1Sov8BHwqPl1F\nzaMavGBcoWK+S42rYoUCIITAr6sUhXQqS4I0VEdY1xBjbUOM4rDOSNLkWPMI5zrHGI5nL7hRlqZp\nLKqpQQjhSryt/MooX8THQ7/5GpXryxk6M8xjt/yQRG9uVZavbhWKP0T23MH8CrkN1+CMDmG3eZnc\nuFCiAXzXr8Z4/xTOWG6CUcsVgp/tIP1CHXZf/oJSfdEoJf/L28R/vYnU3ty5g+nnC8WrOll89x6S\nwxW0H99JNpm/KPJKhGOp9B9dSef711C6+jw1Sw4XTELWSJihxz5JcGMz0VuO5h0rbUn61xZqucB/\nbf523sYHh1BiUbQ1uY1EnXQa49Ah9PXrUfIo0qzhXsyuMwRX7cjZ8ltKyWv/8TX2/O1eFF3hi89+\nkWW3LfMcO3WbwaEhhoaGWFRTc1EklM5adPQnOXp+mI7+JKoqWFodYePyEhpri1hUHqIk6ifo1y4N\nCcHvhPu2EGKnEOI5IcQ5IURWCGHP+M8RQsyrVfHV0FwOzFesYDuSkXiWwbEsGcOmrDhARbEfnz7/\nKc7UvFFVVRXBQP7amWR/ksdv+SH9JwYpX1PG13c/SrjS+6EgHZv0qT2o4ViO2g2XyJxUAuPD19HX\nbketzDVfeQ/rbBLrRAL/HeWIgIq3q/JezCaTzJsZQl8KoZaqwC89xrm1NVa/n+HvryS4fYDwbSdn\nr3AOeQt/5BEYba9jsKmRSHUvZSvOokU8HuZeIj2vsp6fe7x3jcd7XuG6XD/ZjEJVKSH+fg0DB1YQ\nrB6mYttptKABqzy2XTrbWd3svJfhH44S/kSI8PUT8UWvjPdOpCNJvzQIpiT4ufJxk1pvZ3XzwHGc\nwRF8t+5CqCpeigppFmHsfR518Sq0JbmLrO3ECOnTewmu3IEa9XbUkFLyxp++zrt//h6KJvjiT77E\nmnu9rNMn4TgOvX19OI5DdVXVBdUGSSkZjhv0j2QwLIfSIj9l46ue+WDBxAoFqvtF5LJ5zX0Rt/O1\nwA1ed+Jlue+qxb0VMl77vUpE3rgY1VzGsOkfyTA0liUW8VFVGpz3hQ2QSqVcK5KyMoqi+Wf5yb4k\nj938AwZODVGxrpyv7340Z4dKaRmuaqmiHl/NzNnu5J3gjAxiHHgH37Z1KEVex38PAPPwGHZPFv9t\nZQjNS8Hntho3jhlkP8gS/nIYpfh5j3GTbGCPaQz/YCV67TBF955CqFN+ixxExPhiwDZ0Bs8sZ6yr\nhpLlrcSWtU6XPF8BRCQlpM6XM/BOI8KWVGw/TbBySg65ACLKnipl9JnNFN0bJbBx6gFnE5GUO8i8\nMowzZhG6pwKhTTzDZhORdboZ60wz/ttvQPgnVi/TiUg6DuaBjxDhGPoaD+neOJxMkvSJ9/Av3ZjX\nUXv3t9/kre+8jVAF9/34PtZ9KX+Bq2ma9PT0EAgEKC8vn3c+yHEkA6MZeocz+HWFypIgxWH9gvNK\nC0ZEuYML08eGLhsRHce9g+6SUr67YPu9SkTeWAj5tmU79I9k6B/JEA3p1JSF5k1IhmHQ3dNTUAI2\n0ZvgsZt+wGCTW33+yJtfJ1TmTUZONkX6xHv4Fq9BL58ag58+JbN72jFP7ce3cwtKcObT1SUiKSXm\nnhFk1sF300qPivu9k5/nkEF2f5bwl95HKZ759J/+2skojD5djzRUYg8dQZlY3cxBRB8fKxli8Nxy\nkn3lxJa0E1vajhbMXlYiktcIEk1VDH3YgDRVym44S6S4d/aqLw8RSQmptxeTfGsxsa9V4Vs6M9Q1\nnYikhMxrK3AGTUL3ViB8U1e404nIau3EPHAC/+3Xo0SmXjuTJCKlxDx2EEzQN38yZ77HMTLuNVaz\nHL2qwXMMwFv/5S12/9+7EYrg3qfunbOdQzqTobe3l1gsRnFR0Ty95lwC6hlKEw5oVJcGCQcvPta1\nYERUoB2l8F82IsoAj4+bnC7cfq8SkTcWso7Ith36RjL0DWcoifqoKQuhz8Mjy7Ztenp7URRlzl4p\n8e44j930A4bOjlC1qZJH3vg6wVLvOgo7FSdz6oMZNUazYwNW60fYbZ34dm5B+KbetO99/Jd0JMbb\nQwhf0LV/mfZw2MtUGIcMsvtGCH/xEErJVMPP2WwgnRESv2kkfaiakocPo9fFCyYiAHQwkkGGzzYQ\n76whXDlA0bYOQnVD0x/+l5iIzHSA0e5axgbq0GMpSna0EG7sd8/By4c0BxFJQ2H0p6uwesPEHjmG\nVvp5j4GTRCQdyLwawxkpIXRP+QwSgqlEZHf1Yew5iP8T16KUzFRgThKR2XQCZ2gA3/a7c7anl5ZJ\n+uT7aKU1+GpXeo4BeOcv3uGN/+MNhCL4whNfYOODG3OOBYjH4wwMDlJVWVlQqcPH5yMlQ3GD7oEU\nQb9KTXmI0BwNJ+eDBSOiAjvDC+2yEVEb8Mtc7XMueL9Xicgbl6Kg1bIdugfTDI1lqSoNUhkLoBSY\n9JRS0t/fT9Yw5qwSH+sc47GbfsDw+VGqt1Tx8OuP5LREseNDpJv2EVy5DTVahhcRQQ9m03k3Z7B9\nI+LjY783bZS0JMbuMUSRH3177RQymk5EAMaRD8nuaSB07xHU8oknuRcbuOGqzJFKRp9bQ+T2c4RC\nB7yVcTmI6OPPamqMtS9irLsWK+0juryX8NI+gouGUUyP3/oiiEj6wUyFSA5WEO+vwkiFiVb2ELuj\nHX/ljO+4QCIyg42MPrkOrTZB8X2nET4HuN9jY5eIpA3p38SQKZXQ55d5kBBMEJHdN4jxzn58N21H\nrfCqSXOJyGo5h93Rgm/HDQifV/tckLZF+vRe1FARviW5bX7e++67vPYf3e6qn//h59n8SO528hNF\nqvFEgprq6nn1+EqkTDr6kyAEdRUhIguwApqJBSOi/J1UJscql42I/hr4DLBRSpnfx2s++71KRN64\nlM4KGcOmsz9JxrCpqwxTnMe3ayqklIyMjjI6OkpNdTV+f24V2ljHGD+86QeMNI9SvbmSr732SM4w\nnTXa79qtrN6JGvaSYo8gpcQ6cQCZSqJfc/14Avvs7HM0E2TfOIZSFkXfumz8IeRVkNOBeSpNZvcY\nwbtL0Bbl+g6emzzPfp2Rp6tRiyIUfSmAGpnxYB3+h9mbe0VC3wJjNEy8vYpkZwXGaIRAbIRg6Qj+\n2Cj+ojhaIIvwes4Oerznc2uasqMRssNFpPuLSQ+VghSEG/sJr+ojvHTQzXN5tQr36u5eP0kGUkLq\n/XoSr64h+pkUwW3GFCL2igHehzRsUs+fRWgKwbuWI/RcBc+12P3DGG8fwHf9JtRq7xbe0IDV2YJ1\n9iT+HTcjgiG82oJLxybTtA+h+/Ev25yThCbCcQB3//PdbPm9LTmO64oS+vr7sS2LqupqtAJFCabl\n0NGfJJG2qC0PURL1XbLC9AUjIllYqxIhspeLiMLAm0A38E0pZcuC7PcqEXnjt2HxM5owaO9PEvJr\n1FWG8RUYrkskEvQPDFBZUZHXxHG0fZTHbv4hI82jVKwr5+HXH8np02UNdZNtOUpg9S7U0MywjLsq\nkVJiHvkQbBt98y6E4iXvziANi+wbR1EqitCvWYa7mp8Jd9ZutWRJvzRC4PZi9Eavh+pz015JCxKv\nrCO936ToCwH8G7TJh8s8iGgqbEMj3VpCejhGdqSY7FgE6ahoRWm0cAY1YKLoFkJ1EBmJlAqOpeIY\nOlbGh5kO4hg6vqIk/pIxAuWjhK4ZRi9Lzl65zZOI7OEAoz9dj0zrFD8AWsXMKfPs78xJ3k3qF2dQ\ny4MEbm8Yz9l513rZ/SGXhK7diLrIq9J3fFyPhnnqML7tN6GEJ4Qr0/cpHYfMWbdQObBiK8LD7nuq\nOk4ogrv/+W42fz33SsiyLHp6e9E1jYo5auumHmNgNEv3YIqyIj/VZaFLJ7cex8IRUWGmrEIkL1tB\nqxBiCy4ZRXEfDl4l3Ugp82vvp+7zKhF5Qwgh+0YsFAU0VeDTBH4dlAWeUTmOpHsozeBohpqyEOXF\n/oJmbZlMhp7eXmLFxRTncWKId8V5/BM/ZLBpmLKVpTz8xiMU1Xo7MJgDnRhtxwmuuXZGg7JJNZd0\nHMxDe0AI9E3lHsIEN7wmDXNyZbRN8zi/yTyG3WOQ+tUwvmvC+LaGZ4x9jtnYitFiMfovGbRyhaIv\nBFBLlAsmImAWQdiGhhkOYqX82Bkfjqm5LSuSAqFIhGqj+kxUfxY9lkELZqa3Wch1CxZIRLK2jNS7\nS0i8sZzwzc2Eb25GqDs8Np5ORPaATuoXS9DXluO/dtGU73I2Edm9CYx3O+Ymod4RzBMd+LbegFI0\ndT+Tf0vpkD17EOlYOd20pZS88kcvs+d7exGq4J4f3cOGBzbkPO6EUCcaiVBSUlLQfZHOWrT2uhOA\n+sowwQXMA8H4ZMwGw5IYlsR2wJFQHVsgix9ZXODY0cu1IroR18cugOuc2Etu+XZhxYBcJaKcEELI\nQy1ZHAdMW45feODXBGG/IBIURIMKxSGFgH7x18PEDaQIWFIVwV+Aus60LHq6uwkEg5SXleW8UZN9\nSZ647TH6jg0QW1rMI29+nVgOB2Wzvx2j/dQ4GU2snqZbU0nHxjz4AWhZ9A31M8hoMs8jTQtj93FE\n1EbfUTpj3HRllxO3Sf1iCLVSJ3Bb8RR5sTcRgZuTSr5pkHzXIHyTj/CGxxEznakvkIgA75VKjtDc\nLFwEEWU7qoh/sAMlYlB073G0iglNr5cp3SQRmeeCZF4pJXDLCvQ1M81Bp//edlcc44M2fNdvRa3O\nbSRq941gHm/Ft/UmlKKZNUDuPqWUbpG0mSWwaoc3CTmSF//wBfb/w0duseozX8xbJ5RKpz/uHxSd\no3Rh4hx6htL0j8xvQpcPtiMZS0nG0g6JjEMiI0kbEiHc54CugaoIFAGbGvwLRERzm7q6YwcvFxG9\nB2wDvgE8LQvOas2x36tE5A2v0JwjJRlDksxK4mlJPO0wmnLQVEFJRKE8qlAaUS44DCClpG/YlZYu\nKi/sZrIdh95e16CquqoqZ+giPZTmiU8+Rs/BPorqIjzy5qM5jVLNvjaMjtNTyGi2R6K0bcxDr4Oq\noG9cMoVkpgsOpGVjvH0ANIHvurIpHV49al0Mh/TLozhjNqHPlaAUqeQjoglYgw7xX2cw20aJ3HiE\n4IZmhDL+2/0OEZE5ECPxwWasoSKid5/Fv7FnRmjPm4ikA9kPijGPhwl+dgBt0ec8xk0SkdUygnmg\nC9+NS1Arciva7N5hzBNt+K5pRCn2quuJuSuhc4dcElq53VNF59gOz//+rzj02GFUv8KXfvplVn3W\nSxboYmxsjKHh4YKds1NZi9aeBLqqUF8VvqAichi39slIBuIOg3GbREYS9guKQgrRgCASUAj5BZrq\nYXu1YKG5wvrWCdF7uYgoAfxMSvnIgu73KhF5o9AckZQuMQ3FHQbiDmNph7KIQnVMpSyqFKyKm4qM\nYdPSk0BVBEsKuLGklAwMDJDJZvMq6jKjGZ761I/o2NNFpDrEw298nYo13iGZyZXRrhlhuinHdXox\nD+0HAfqmiXDM7GNLex/mnvPIlInv5hUInwYMeOzxZaQEY78P4yMfwTvTaEu9Ciu8Na5GS4L4S0Gc\nuELktjSBzQZCna3Yozl387dp8EpZ1XgU7EoPOXnOdqizd2p2BUi+vg7jfAXhW08QuvYswrNtw+zv\nwkldR/qlLNgQ/IwfJSyA23IcG6zTPZgnuvF/YhVKLIR3w85q7J5OzJNH8W3dNR6Omy1imEZCOVZC\ntmnz84ef4/gzJ9CCKl/55QMsv93bMkiOd1JNJpNU19Tgm6MtipSS3uEMfcPuxK2s6MJWQYmMQ8+I\nTe+IgxBQHlUoiyrEwoVPKheOiLyViLPHdl4uIurBXQn90ZyD57Pfq0TkjQsVK5iWpG/MpmfEJpmR\nVMVUaktVIoH52fpNDTXUVYQpLcqvpplqC1RdVUUghy2QkTB4+jNP0vp2O8HSAA++9BC1O7wvfpeM\nTuYQMAAMuDmjI/vBstA370BoXsd1u7+aB9pwukfx3bIKJeK1NHj547+sDpX0i0H0VVn816cR0/gt\nV7HFiEtkZzWSrwexBhXC158huL0DJTzF6ucKICLpgHG6iuS7y7F6ooRvPE3w2rMo/onP5kUm04nI\naomSfnkF+loV//X6lFXp7G2lIzEPTv3+J66n2URkdWSxzp7Et/ValOhEzmI6EbnChAPgWO5KyIOE\nzJTJs/c9w9nfnEcP6zz44oMsuWnJrHEwRRln2wXZ9WRNd7ImgCXVEfzzXAVZtqRnxKZryMawJdXF\nKlUxlUjgwlq+LBwReX8/s8e2Xi4i+gGwSUq5dc7B89nvVSLyxkKo5tKGQ9eQTdewTdivUF/urpLm\nc6GnMhbNPQlCfpX6yjDqHA7fyWSSvv5+KioqiORQ1Jlpk2fvHX9AhDTu//lXWH6H9yzVHOzCaDlK\nYNUO1MjMHIG7qpGOg3X8EE4qgW/LDR6dOaf0HhqfkftuqECtmPmkf3naKyctyLzixxlTCH4qiVox\nkf/JTUTTzr1DJflOguyJSvxr+ghu78S3fBDRevmIyB4uIb2/nvS+JYiwQei68wS3nEVoM0PtuYlI\nmoLsu4swz8QIfiqKVj/zITx9W2naGO+fA8vGd+PEinQC04nIaunGau3Ht+06lPBUheUkEbkS7f2g\nKAQar/EkofRQmqc/8yQde7oIlo1PeLZ7T3g+VsbpOpUVFXPeH4NjWTr7k1SVBKksCczrfkobDm0D\n7kSxJKxQW6pSGpnfPemFhSOi3KHS6WObvPoRxYDvA+twmwc/itsI5Se4XQxbuMh+REKIStwCwleB\n/yClvPDWw1P3e5WIvLGQ8m3HkfSNOrQNWNgSlpSrVJeoBSvwHEfS0Z9kLGnSUBOZsyAvm83S3dOT\nt7eRbdr88tFfcPSpYyia4AuP38OGr3ormKzhXrLnD+Fv3IpWPHVmPBlek1JinT7u9jK65vrxOpMJ\nTO89ZHeOYOw5i76lDG3Z1LDfdCJy92thHveRfSeEb0sG3/YMQi2MiFzsxUnqpA/Ukt5fi5PwEahv\nw9/QgW9RrwcBTMECEJGUYPcVkT25iMyxOqz+IgKbOgltb0VfPHG+XoW83kRkdYTJvFqPUpkmeGs7\nIrgr77ZOIoPx9hmUsgj6tiVTuqtOoGr8PCVWUztO/zC+rTchZuVm3N9dWibppn0ovoBbJ+SRkxzr\nHOPJO56g/8Sg29771UcoX+1dnzTRQygajVISi+UlBNt2aOtLks7aNNRE5uWMEE87tPRbDCccFpWq\n1JVpCyIymsDCEdHauQcCQpzwIqLHgbeklD8QQmhAGLdD64CU8rtCiP8IlMiL69D6Jm7CcRNuKXcT\nueXbtxa836tE5I1LUUckpWQ46dDSZ5M2HBoqNWrmQUgjCYO23gQVsQDVpcG8N61lWXT39OD3+6nI\nYQopHckrf/Iye/7WzaPc+b072fVNrwcbWGMDZM985JpXltbk/Hx2yzGstuP4rrkDJTohhpjdOtUZ\n7cV4+yhKTSn6lon2016Fr+Pj41kyrzfjjGYI3Gai1XmtON7zeG/G5+jTyRzLkj1RjtUTRq8fw7d0\nBH0J6HVplNBUYvJysfZynpiyWrAFVm8Is60aozmCcd5dVfhXjxJYN4qv0ZwRZgTwWo02THvlpCXZ\nd8BqsQh8IoC+YmIyckfOz2p3D2N8cBp93WLUlTtyXC8xVwV57CNkOoVvy7UIn3fC3DGzZE7tQY2U\n4mvwdkwYPDPIE598nLG2OGWrSnn4tUdyNmxMplL09fUV1EMomTZp7k5QFNapqwgXnHuNpx3O91rE\n0w6LyzVqS1VPscHFYuGIKL/F0eTYI9OOJ4QoBg7OrN0RQpwCbpZS9gohqoHdUkqv1sqFnmPBKjkp\nZcH5iKtElAOXuqB1JOneIBlTsqxKo6q4sPCAYTm0dLv5lYbqSF4hQ6E2+R9brQA3fOt6bv3z27xX\nUckRMqc/xFe3Cr0ydyzb7j6HeWoP+oZbUMtr8e7hnUAaJsb7J8Ew0a9fhxLO355SSol1ZojM7ia0\nxQr+G1SU6NTznJuIXLQA4KQ1jPPFGM0xzLYyrK4AImCjVRioZQZq8SBKJIsImSg+G1QHRBocgTRU\nnIyOTPqxx0qxhwPYA0GsgSBqaQa9LouvIYFveQK1IjuHE0JuIpKOxDzmkH3fRlupE7g+gPBP/cyz\niUg6Eut4O9bZbnzXrUKtigHezeWkEXLrwnQdfeOOcceM2dJ+J5MkfXovWlktvtqVntdH10ddPPWp\nJ0kNpFm0vYYHX3rI081DSsno2BgjIyN585kTYycECfVVEWKRwlxIkln3/hpJOjRUaCwqvUSN7Max\ncETk5SHlNfbATCLaDPwjbg/gTbhhiH8HdEgpS8bHCGBo4vWVhKtElANCCDmUcFAV0FXwjdcMLDSG\nEjbneiykhMYajdLI3EnXqUKGJVURivPcnHK8cVgqlaK6qiqnR9fBHx7k+T94HmlLNj2ykc/9092o\nHiTnZBKkT+1FK6/L+UACcIa6MQ6/ibZ8C1q9V4+sxMfnZ51owzrdgW9HCWrd3JXl0thPdq+NedRB\n36Tg36aOP5znR0TTUY50wB7Rsfv82EM+7LE0TtyPk9GQWQ1s4aoMFAfhsxF+EyVsoBYpqCUZ1PI0\nWkVq3APOu06rUCKScglWsyT7jo0IQuAWFbXSy6JpOhHJtIHx/mmQDr7rViNCE6KE2UTkJFOYB46i\nVNSgrdqQs/jVnYDsw1e7IqeL9unnT/PTr/wUK2Wx7JMN3P/zB/B5XJcTCs90JkNNdTV6HmWcaTm0\n9CRwpGTpHJOuCWRNSXOfRd+oTX25xuLyhScgKd2aQtMGy3YLWsuiygIRkVfRMuzePcbu3WMfv/7O\nd7pmEtE24APgOinlPiHE93CLBf5wKvEIIYaklLn8ni4brhJRDggh5MuHbWyH8Upql5BCPogEIBqE\n4pAgFnJfX0yyU0pJ35jD2W6LSFCwoloj5J97VZsYD1eURH3UlofynsNEbUZlZSWhHLUZp351ip99\n5adYaZuGTyzh/ue+QiDmYSFjZsmc3osSKsLfsDF3G4DUGOaBV1BKA2ir62eMm9Fuon8E8/2jKLUh\n9M2lU+qNvODmnJwxSfY9G6vVwbdVxbfpw3ESmAstHu955TDmH5qbxIURkZRgt/vIvl+BzIL/BhVt\n2YSSy2vbSSKyOwcx9p5Ba6xBWz+z0Hg6EdkDg5hHj6Ot2IBWN7MAfkrN0Ugv2XOH8oZkP/z7D/nN\nN3+DdCQbv7aBu7//eVSPgmzbtunt60MAVXlq3gDiKZOW7jhlxQFqyvKHocHNo7YP2rT2W9SUqDRU\naOjaxRGQYUmGkzCagrGUJJ6BZBYyJmjKxOQUFAXu2KguEBFdV+DY92cSUTXwwYSbgRDiBuA/4Va0\nfUJK2SOEqAHevJjQ3KXCVSLKgZmhOSklWQtSWUhkYCwtGU3BcBJsB8oiUFksqCqGouCFEZPtSNoH\nbNoGLBaVqDRUanPGsy3bnTVatmRpTX4Zazqdprevj5JYjOJibyuRzg87+fHnniLZl6ZsVSkPvvQQ\nJUtnr+SlbY3Ld23XVyxX+2fTwDzyPNK28W1agfBPzIBnP9ClcR5z3wDOsIFvVwVKea6QzQzxw4BD\ndo+D3Z5F39SHb3MfSiifn36Lx3uXl4ikA9a5AMa+CDIr8O0MoK9WZpCJNxFJ08I80IzTM4x+7SrU\nSq/f1iUiN4/XhtXShm/TepRSLxcW99yNnmbMrjMEVmxDjc6eREtH8sofu5Y9ADf/2U3c/Ge3eF77\nhmHQ09tLKBikLI8LiJSS7kHX8mpJdYSiAgyB+8dsznRbhP2CFTWFTeK8kDUlfaPQOyYZGIO0AbEw\nxEJQFBJEAxD2Q8A3OzqycKG5mwoc+7aXWOFt4PellE1CiG8DE0voQSnlXwohvgXELkascKlwlYhy\nYD45orQhGYhD36ikd9Rdqi8qgbpSQUXR/Ekpa0rO9pgMJx1W1OhUFuXPH004MvQWEEc3TZPunh6C\neWyBRlpHeOrTTzJwcpBQeZAHnv8qdbtmh3aklBhtx7FG+giu2okSCOMlrZZSwTp7ELvrDL5Nt6LE\nKvF+yLsqMqu1C/OjY2hL69A2BD1WR7NdvwHs4VKM/Z2YTQPojWX4NtWgVLV4fEavXJQXcX3k8Z63\nzH02cpHopmmvnLSNebwX47CNEhL4tqpojQKheIlGZqvr7K4Y5oenXdHHNY0IXQMaPY8sLRPz2CFX\nlLB5e24HbalgtJ7AGu0f/11nhwTNlMlzD/6UU79oQtEVPvdPn8vZxiGVStHX309pSQlFRd7CBXBD\ncc3dcYQQNFRH5uzZlTYcmrosUoZkZY1GWXT+jgrJjKRjCDqH3YllRdSdUFYUuQRU6L27cESUW3wy\nfewrXkS0CVe+7QPO4cq3VeBZoJ4FkG9fKlyxRCSEKKUA/bsQ4lPA93C/8O9LKf8y3/ZCiNuBv8D9\nsQxcLfybHvu9ILGClJJ4GjqHoWNQkjFhcRksqRCUhOd3nQ4nHU53mvh1wapFc8/0EmmTlu4EsYiP\nRRWhnGo823Ho6+1FSklVDhFDZjTDs/c9Q/PrrWgBlS88cU/O9s1mbwtGx2n8jdegFXvlQV2ZmN3X\ninn8XbSlm1CXeMnKp5irprOYHx3FGRpE316LWjNV5u1NRBOzfidtYh7twTjag9BN9LU+9FU+lOjE\n93d5iUhaEqsljXkyhdWWQV8m0DcraDVTf18vO58pPn5pG/PAMM6Ag75jFWrN1BXLbCJy4qOYh/ah\nlJSjrdkwLkqAWQ7alkHmzGEQgkDjVoQ2O4cT74rzzOefpuGsi1kAACAASURBVGt/D/4iH1/++f0s\nu3W2p9FUUcJcdj1jSYPWnkRBoTjHkbSNRw7qyzXqy9V5OZgYlqRtAFoHJIkM1JZCbYmgsvjC88AL\nR0R3FTj2xcvmvn0pcCUT0XeZQ/8uhFCB08AngU5gH/CAlPJkru3H1SU94zHTdcDLUspZ0/2FUs3F\n05LWAUlrvxtTXl4lqC+nYAmpI91wXWv/+E1XkV/ubdkOrT0JzDlCdRN2KolkkurqavweIgbbtHnh\nf/s1B//5EAA3f/smbv6/bvFw3B6Xd589gF6zFL26YcaDZFKv7KTimEfeRPhAX79+RvHr7Ima3XkU\nc38XojSIfk0NStjHXEQ09TPa7YcwTxqYZ03UUgWt0Ye2bBSllBk+bpeWiGRGYLXqmOcqsZrTqBU+\n9NUh9JUhRKDfY3tvIpKOxG6KYx4fQ1sWRtuwBaHN/I0nicj9Dlqwzp5CX70eddHMPumTRGSn4mSa\nDqCVVOOrX4NXG4eOPR385J4fk+hJUVxfxIMvPUTF2tk2UXJKI8fqqqqcooSpobiGmijRUP4audGk\nw8lOk4DPnZwFPZv9eR9nMA7neiXdI1AdgyXlbij9Qmy4ZmLhiOjuAsf+6ioR/TZQiP5dCHEt8GdS\nyk+Nv/4WgJTyvxW4vcCtyqyWUpoz/m1B5dtSumG7c71uGK+hAhqrBOFAYddS2nA41WlhWJI1tTpF\nodw34HxCdROtl3M5MUgpef+v3uO1b70OElbdvYJ7nrwPf3S25ZCTTZFp+hAlGMW/dN0UA8zphTPS\nsbHO7Mbu7kZfvx61fCLH4hUxaEVaDtbJfqzTA2grytDWxhGexYheEmVXOi5tid1mYZ4zsJqzIEGr\nc1AXSdQaiVLmVd9zYUQkJch4CLtHxe7WsDp0nGEVrdZEW1aFtjyIMk0d6bVCm05EUkqcrhHMg8OI\nkIa+tQSlWM9xPi4RSSOLefwQMp1G37R1Sh+hqXCJyBrsJtNyHH/9GvQKb2n+wR8e5IX/9dfYhsOS\nmxbzpZ/eT7hi9jUz4ZSgqSqVeVrbm+OlCBJYWhPNG4qzbMm5Hou+MZuVNTqVBZY72I67+jnT8/+z\n997hcV3nnf/n3Dt9MBiUQQcIgCDYO6lmFavasuXE3XGyduJs4iS/FO+zSXYTx04s2/HKaWunbsom\nm/Y4jm2523JVsySqUGInQbCh9wGmt1vO748zEEHy3sGQhEj5Eb7PMw/BmYO5Zwb33u857/t9v69q\n2dDXIuhpAt9VChkuxsoR0TuqHPvlVSK6FhBCLCynfxdCvAt4o5Tyg+X/vw+4SUr5G5fx+7/kFJh9\nJeuIsgXJ6WnJ0Cy0RGFju6CuirCdlJKphM3pKYPWOp21LZ6KoYSXQ3XLqOoKxSLT09PU1NTQ4NL3\nZfDbg3z5Zx6mmCwR29jAe7/+MzT2X2pZL60ixaGj2NkUgf7daMEwTkaoMIYVj2McPYre3Iynvx/h\ncRICnC9ytbMlzMPTWJMLeDd70fs9iAt2lu5EdMEc5TR2AqwxDWtCYE0J7IRAq5NoDTZaVKLVSkT4\nNCJoIPwmwmurOiK6QQqkKaAosAsaMqch0zp20oO9oGPFvQgP6C0mepuJ3mGit5plottxyXyWIyJr\nNo95aA5ZMPDuqkdrX2pr40xE1swkxvFD6G1dePo3OtrwAEi7ltLoScyFaQL9u9DDUS7+e9mmzXd/\n6zs8/xcvAHDDr+7hjZ99k6O8f7FPVrS2lroKTgmpnMFwlaq4ubTFwLhBQ41Of5sHbxXRBMOUnJlW\nBBQNwfo2tfu5WisfN6wcEb2nyrFfWCWiFTu4EN8HWh1e+gjwL8vp34UQ7wTuX0JE7wdukFJ+aCkR\nOf1+OSz3NeA+KeU5h7nJ3/nwxxBCSTTvvvtO7r7rzqv5uJfAMCVnZ2BwUlJfA5s7BA011RS1Sk5O\nGKTzkk2dXurDlVaSSlVnlUN1brUYpmUxPT2Npmk0NzU55o3mT8/zHz/5OeZOxPHX+njH597J+gcu\n9caSUmLODFMcO4m/ZxveRgdbnMUGekYJ48RLyGQc75YdaA0XK9Au3SXZCycxDo9iz2fxbm5H72su\nh6ecnLqdRBHHLp2zGcaet7EXbOyEjZ22kVkbmZfIokQaqDZg6KAJ1S/JpyMCOlooh4iAVivQ6gVa\no0ALOZ3W4OyG4pSgjmPNZDGPziHTJTxbm9B7b3CQyl8UAiwZGCeHkAtxvNv2otUvfp+XOhfYxTyF\n04cQHi+Bvl2OysfcXI4vvucLDD02jObVePNfvok9v7z3knFSStLpNPH5eZqbmwmHnNvSL9bAzSUK\ndLdFqK0QijNMyalJg4WsZFNndTV2JVNyalJyehpao7CxQxANrXQdEfzw0cd59LHHsW1l6vbHD318\nhYjoZ6oc+7nrZXoaAG4EjkspnSz0r+x9X8U7ogHgzkr6dyHEzcCDS0JzHwbsslTR9feFEJ3AD4EP\nSCn3uRxffu5JtZ1fLF7ze5R8MxKE2pCSdjZGoCGiaoyuFJYtOTcDAxOSuhBs6apO2DCTtBicMGiK\n6qxrdd8dySqr06WUxONxsuXiV7//0vBbMV3kK+//Mie/NggC7nzw9dz+kTvQHMxYrWyCwqkX0aON\n+NdsWpIgh4sVYNbMOMbx/ehNLXjWb0G8nFNwCtcpcrHjGYxjY9hzGTzrWvCsr0cELr6xVUdETjdq\n57yR0w7kpMNzbn1lKhORtCX2eBzzxBCyYOLZHEPvrSvv/Jx6+JTdvKXEnprGGDiF3tqFp38r4oJ2\nIBd+PnN+muK5o3jb1uJtW+e4Uxh5eoQvvecLpCeyhJqC/NRX3suaW9dcMs62bebicQqFQsWi6aWh\nuJ62CL4KobjZlMXJcXVu97UsX8ZgmJLBMgG118OmDkFNlWFvJ0gJqRzE0zCfKdcS5SFbUCUcWrmO\nyFOuI/rp21dqR/SzVY791+tFROtQ/nLvklI6NQu7svd9FRPRH7OM/l0oY7+TKJfHCeB5LhQrXPL7\nQjnUPoHKLX21wvEvCM3ZEgolVdCWzkMyq2qI5tOQyEI0rBKgbQ3QUQ/Byl0bHGHZaoc0MC5pqoUt\nnYJIsJoL0CCZk2zu9FJXYXdUbagunckwNzfn2h1T2pInP/UEj3/sCZDQe3c37/jcu6hpufRmLk2D\n4tAh7Fwa/7odS9pJXCpFlkYa89RxrJlJvOu3orV1IITTjfui7q7JPObABNZIHL0jit4fQ4stthz/\n8SAimS9hnp3GOj2JCPrwbIyidUYuEoY4E5GdzWGeOIkslvBu2YhW55TjUZ9PWhalkQHM5CyBvh3o\nEWehwb4/e4Yf/O4PkZak8+Z23v3Fn3L0jDMM4wLnbLd8ULUFqoYlGZxQ5/Nyu31Q18yZaXXNtNbB\n5s4rIyDLhpkkTMzD5IL62ecpLzRr1PVdG1TF6yE/XKwPWbnQ3AerHPsP14yIhBCaLHdidSIiIcTH\ngD+QUl7xcvzVTEQNOOjfhRDtwD9IKR8oj3sT5+Xb/yilfGiZ3/8o8Lsoe/RF3HfxNvNyckSWDXMp\ndQIvPiJBWNOkRAnN0YsVWpVhWpJTUypk19WoLq7lnIJnkxYDEwYtUZ2+Crujagtgi8Ui0zMzBAMB\nGhsbHW8wp797mq+872FycwXCLSHe+R/voveuSwskpTQw5yYojpzA17YWb1svQjiF0RQ52Yl5jOOH\nQdfxbupBq72YDJ3IBWQxi3k2jnV6DgTovY3o3cWLhAHwaiEiaYI1rmMNtWLPJNG7Ynj629AaIzi3\ngr2QiKRpYp6dwhqbwNPbjd7dVQ7dORXT1mBlkhTOHEIP1+Lv2VKWZl+YD8ov5Pnqz32FwW+oy+Pm\n/34T9/7RfY75oGw2y+zcHHXRKFEXl/elqrjlClTnUioX1FSrs66tcv5TSiVCODoqqQvD1q7LD8Fl\nizA8A8OzioDqwtDeAK31Kqx3OYvJlSOi/6/Ksf/nWhJRErV4fxR1L/0yFxLRgygiurJKYl7FRHS9\ncTViBduG6aQ6wYdmVFivrwX62yEWqZ6UiobkxLhkeA42tAn62yrXORimZGDCIFOQbOl0V9ZJKZlJ\nFJiez7OmOUydgwJOfQ7VrMwwDFcJbnoizZfe+wVGfjSG0AR3/P7t3PH7r3cM1dnFHIUzB0HaBPp2\nlQtgnSGljTU2iHn6JfRYJ57+PYiXx7vV451++fPZc0msc5NYo9OIcAC9qwm9I4aIuu0EnW78TrVA\nQw7POZGTk78eyGIT1uQ09tgk1uQMWmMdek8PelfHknAkOAs81HPStrHGxzFPn0aLdeJdvxPhX1qj\nc1HeyLYpTZzCnB7C17MVb6NzX6CxZ8f40nu/SHI4hT/q423//HY2vu1SNxgpJfMLC6TTaVpaWgi6\nNWFcbF63TIGqaUlOTZrMZ+yqckGzKcnBYYkmYMcaQay2+vtxvgRnp+D0lAq7rYlBdxN0xZRjwpVi\n5YjoN6oc+5fXkoj+HhV1WrrKfBT4IoqgfgoVYVolopXGSqrm5jNwehJOTaqY8voO2NCutvjVIJ2X\nHB5Rld/b1wg6Giqrf6YTFicnDTrqdXqbPa51EtVY68tyUeLCwgJNsRg1Dnb9tmnz2Mce5amHngYJ\na27v4u3/9g7qup2q9iXG1DlKE4P42vvxtq6t7BphlDDPHcIaO4ne0Y+ndzvC57SbAqf6ImmXsGcS\nWKNz2BNxpC3RW+vRmuvQYrWI2kViemWISBYN7Lks9mwaazqFTBbRmmPona3one2IgJ9KpHPBZ5E6\n9tQU5unTiEAAz/r1aFGnY5+ft5VJUDx3COEL4O/dgeZz8A40bZ745BP86FM/QlqS1l0tvOfhn3K0\ndjJNU/nFCUFLc7Oro3syU2K4ipYl8xmLE2MmDTUa/W2Vc0HZgroO5jOwbY2gq7E6FZxtw/AcnBxX\nO581MVjXpshnmT6TVWPliOi/Vzn2M9c8RySE6AHeA3wayHHeQshCRaR+BVUmM3jZ771KRM54J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tc4NQXwO3bFBeWU6wpeTUpHL33tAmWN/mrESybMnZaZOpROXdUb5oMjydRRPQ3VKDv0IR7Ozc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\nYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "zz, Z, DP = plot_mp(z, dp)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Comparing to the `ThermalDistribution` matched to the same bunch length $\\sigma_z^{RMS}$ from above, the generated macro-particles following the `QGaussianDistribution` form a line density with a clearly wider core while the tails vanish to zero earlier:" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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7rYGNPtduxLFkAtuL3HYjwQiMT9R26wXiQ2EaiUVNFAcTKjfV5VxVPQ24HPiT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\nBdMY2O1zfK771zcdfiH+hcCMuOVoSeQ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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "analytical_res = np.sum(rfb_matcher_qGauss.psi_object.function(Z, DP), axis=0)\n", "analytical_res_thermal = np.sum(rfb_matcher_thermal.psi_object.function(Z, DP), axis=0)\n", "n, _, _ = plt.hist(z_s, bins=36, label='macro-particles')\n", "plt.plot(zz, analytical_res * n.max() / analytical_res.max(), \n", " antialiased=False, color='red', alpha=0.6, lw=2, \n", " label='analytic q-Gauss')\n", "plt.plot(zz, analytical_res_thermal * n.max() / analytical_res_thermal.max(), \n", " antialiased=False, color='lightgreen', alpha=0.9, lw=2, ls='--',\n", " label='analytic thermal')\n", "plt.xlim(-40, 50)\n", "legend = plt.legend(bbox_to_anchor=(1.03, 1), title=r'equal $\\sigma_z^{RMS}$:');\n", "plt.setp(legend.get_title(), fontsize=20)\n", "plt.xlabel(r'$z$', fontsize=20)\n", "plt.ylabel('histogram [n_mp]', fontsize=20)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 3. Parabolic Bunch Shape\n", "\n", "The `ParabolicDistribution` implements the probability distribution function $\\psi(\\mathcal{H})\\propto \\sqrt{1 - \\mathcal{H}/\\mathcal{H}_0}$. The spatial profile corresponds to a parabolic shape in the case of a \"linear\" RF bucket (the quadratic harmonic oscillator Hamiltonian). For a truly non-linear bucket, the matched parabolic distribution becomes a bit wider compensating for the non-linearities of the bucket, as one can see in the lower left plot:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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rHZQWGjfjkgzNzsui3Yj6tLqwHtVqV4woBKUUhzcVsWX6IbZMO8jRHaf3a1a7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2y+e3QJC59biSQIw97pRfvfGS+aFxkMCCwwT2QFumc2/jJehCqqCrfzKaxuCcZC01kzbjPf3DgH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\nfB1/JQnj7lvd/Y6w4NnZx9rg7mWartPdR7n7fu7e2t3vCpc97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Xv+NomwpIf162H+fBgz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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from PyHEADTAIL.particles.rfbucket_matching import ParabolicDistribution\n", "\n", "fig = plot(ParabolicDistribution, H0=79.8);\n", "\n", "plt.sca(fig.axes[2])\n", "zz = np.linspace(*rfb.interval, num=100)\n", "plt.plot(zz, (276 - 0.72*zz**2).clip(min=0), color='red', lw=2, ls='--')\n", "plt.legend(['analytic', 'exact parabolic'], loc=8);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note the sharp discontinuity in the lower right plot above at the Hamiltonian value where the probability distribution function $\\psi(\\mathcal{H})$ is clipped to zero. Therefore, for the RF bucket matching, the \"cumtrapz\" integrator comes in handy again (similarly to the above `QGaussianDistribution` matching, otherwise the default \"quad\" integrator literally takes ages):" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "*** Maximum RMS bunch length 17.0908549955m.\n", "... distance to target bunch length: -9.5484e+00\n", "... distance to target bunch length: 7.2559e+00\n", "... distance to target bunch length: 5.9701e+00\n", "... distance to target bunch length: -3.0862e+00\n", "... distance to target bunch length: -5.2158e-01\n", "... distance to target bunch length: 1.0521e-02\n", "... distance to target bunch length: -3.3879e-04\n", "... distance to target bunch length: -3.0885e-06\n", "... distance to target bunch length: 1.1633e-04\n", "--> Bunch length: 9.54838669878\n", "--> Emittance: 0.794758715571\n" ] } ], "source": [ "rfb_matcher = RFBucketMatcher(rfb, ParabolicDistribution, sigma_z=sigma_z)\n", "\n", "rfb_matcher.integrationmethod = 'cumtrapz'\n", "\n", "z, dp, _, _ = rfb_matcher.generate(int(1e5))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The phase space distribution of the macro-particles already looks quite different from the previous cases:" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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tFaxpX7lQZCFyeZOZqMZcXCee0EmmDTI5k3zepKApscJb39C6KkS0rsS0lygT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\ni37tPRk39YvnBo2kNdjG4eWk9q8heO1LKEUZMbZsK7QDacPO0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UP+HinBPOQn9YEXz9J9\neFbsSncSLYCIxuEMeUhEZ5GIzsaxffh8nXj9nXi8oXQI7BISkbTBFiWktEaSnhlYFOOTZwg4J9Hv\nzpICFkBEVk8DyQ9uQamL4t+4G+EfX4LlJiJndAjjg5fSdV1rb0O4rDSklFitO3H6zuBZc7t7nZBl\nkmjdieLxpeuEcuQGR7pGeGbTj+k7PJBu7/32E1QtzH3dpFIpekMhiouLKS8ry0sItu1wJhwjkbJp\nqS+akjNCNOHQ1mcxNOrQUKHSVKlNi8hoHNNHRNnutm5jD38eRPQeUAasIH1XtOIu396Y6/eux75C\nRLlxKeqIpJQMxRzawjYJw6GlRqN+CoQ0PGpwJjRKdZmPugp/3pvWsix6envxer1Uu/hxSUfy1p++\nybbvpp/Et33vNtb90brcxxvpJ3X8U7yzlqO5tIGWUmK3HcQ6cyid4HYJ6wA4kX6MD36OUj8bfdXN\nYw/I84no7PjeN0h+dBNOtBTfDZvRrCzmyUNEZPQts4xikpFmUslGLLMM3dOPpy+MbvSjG4Mo0rgo\nIpJxgSVKMZUqDKUaQ0nH8rx2Fz6lE48MIcY9Ke/OOlYeInKSPlI7rsfqmInvuvfRlyWyBp9PRHZP\nWhmnL7kOdf7aPN1QbcyDHyITUTyrbnV1THDMFMmj21CLKvC05HZMGDg+wI9veZqRM1EqF1Tw+DtP\nUNKUO6wbi8cJh8MF9RCKJUxO94xSEtRpqg4WnHuNJhxOhSyiCYcZVRqNFWpOscHFYvqIKL/F0bmx\n+z8PIipYJSelnFIu4goRueBSF7QOx9I3SNKUzK7VqC0tLDxgWA5tPemixpa6orxChkJt8s9arQA3\nfON6Nn47d6tnOzZM8tgOPE0L0GvcY9l2z0nMo9vQl21ArXJPvkojifHxq2Ak0K//Ikpwf9aIc0TE\n6L8iJVin55L8ZD1aaSfeBVtRfGMsUSARATBmyOA4OkaqBqOtBtNThaWXIxwDLTmCaoyiWnEUK4mI\nGyi2BdKBeRJQkKg4eJCqFxs/NkFsSrBkEaqMoTsDeJw+PGYIVUbTNUbZz/cCiEg6AvPoElKfXos2\nuxXfVZ8gPAYUZS+XzhGRdCTWIR3rxB48192HWuvexkMaqbT6UfegL9/g6pjhJGMkjm1Hq2zE0zg/\n5/XR/Wk3z97+DPH+BA1X1fPIG4/mdPOQUhIZGWF4eDhvPnN87Lggobm2iLKiwlxIYqn0/TUcc2ip\n1miouESN7MYwfUSUPdNxG7v731Sr8CtE5AIhhBwcdVAV0FXwjNUMTDcGR21O9lpICXPrNSqKJk+6\nZgoZZtYWUZrn5pRjjcPi8Th1tbWuHl17frSHV3/3VaQtWfHEcu75/r2oOUjOSY6SOLodrarJ9YEE\n4Az2YOx7D23OKrRm93qRtHXQJ1jHduG5+g7UpmzX0HGcEzZIwyK1/UXMAxXoKwbwru1DeLNakn6a\n0cY8W5yQLTCYOX4uYI8GsbeWYFtF2HYAx/bhlOtISwdHgTCkpQYWAhOlNIWqJVC1GKoeRSseQSgZ\niaHMwEW2gXm2Wf7152bDadKdQ+rDGoTfxrdhJmpN5vLrt7N2Toe+ZGI0Te7STsvlA+41OE4sgrn7\nbZTqGWgLrsrphADjE5CdeBrnode25Bxz7NVj/PyrP8eKW8y+pYWHXn4YT47rclzhmUgmqa+rQ8+j\njDMth7beURwpmTXJpGscKVNyOmwRjtg0V2nMqJp+ApIyXVNo2mDZ6YLWymJlmojo6gLH7rhCRP8e\nIISQb+6zsR3GKqnThBTwQJEPiv1QGhCUBdLbF5PslFISHnE40WNR5BfMq9MIeCdf2Y6OhSvKiz00\nVgXynsN4bUZNTQ0Bl9qMo68c5cWv/hwrYdNy00weeumr+MrOn606Zorkse0ogRK8Lctda4ic+Ajm\n7rdQKhrQFq5zHQdg93VifvwKSuNc9JU35VDfZSvs/g5nRCe1tQ6rvQjPmg48K3oQnrHowQUQ0Vm8\nn7Wd2eng51mvZRuZZH9dUyQiKcHuKCf1cQsy5cN7Qxht9ihC3Jw1+HwisruOY2x/A23uSrSlN+T/\nvvu7MA9sQZu3Fq3JvabHGg6ROrk3b0h2xz/u4Nd/9GukI1n+2DLu/Zf7UHMUZNu2TSgcRgC1eWre\nAKJxk7aeKJWlPuor84ehIZ1H7Riwae+zqC9XaanW0LWLe04blmQoBpE4jMQl0STEUpA0QVPGJ6eg\nKLBpuTpNRJRto+429uMrRPTvAdmhOSklKQviKRhNwkhCEonDUAxsByqLoKZUUFsKJf4LIybbkXT0\n25zpt2goV2mp0SaNZ1t2etZo2ZJZ9fllrIlEglA4THlZGaWluRVRXTu6+Ok9zxILJ6hcUMEjbzxK\n+azz1XLStsbku3baV8zNkds0MPe/h7QtPCs2uva4gbQtkLnzTZyhEJ5196BUZYafzieicdj9XlLb\nKrA7StFX9OBZ2YNyJEOB8BtARFIKrNqbMHY2I1Manmva0ReSIcl2JyJpGpi79+L0tqFfe3fejrpn\n83htB/CsuAnFhVwAjN7TmN3H8c1bi5oj3ycdyVt/krbsAbjxm+u58Zsbcl77hmHQGwoR8PupzOMC\nIqWkZyBteTWzroiSAgyB+0ZsjvdYBL2CefWFTeJyIWVKwhEIjUj6RyBhQFkQygJQEhAU+yDoBZ/n\n/OjI9IXmsh0x3MZ+cIWI/j1gKjmihCHpj0I4IglF0kv1hnJoqhBUl0ydlFKm5ESvyVDMYV69Tk1J\n/vzRuCNDqIA4umma9PT24s9jCzTcPsyzdzxD/5EBAlV+Hn71azStO78CX0qJceYQ1nAY/4JrUHwu\n7cmlg3ViD3b3cTwrNuYtpASw2o9gfvo22qxlaMtuGFsduRNRGhHsIT/GrkbM1ir08lY89QdQikOI\n7Fz5ZUREjunD7F+MEVqOUgGeNR1oc/vGCCizaCk3EdndHZg7PkKpn5M2mM3T/E9aBubBj9KihJU3\nuyvjpIPRfhgr0jf2dz0/z2PGTV565Occ/UUriq5wz/fvcW3jEI/HCff1UVFeTkmJe0NE03I43RNF\nCEFLXdGkPbsShkNrt0XckMyv16gsnrqjQiwp6RyErqH0xLK6OD2hrC5JE1Ch9+70EdGmAse+dYWI\nPguM2Zc/T/ox0YaLfbkQ4nbge6R7Gf6LlPKv8+0vhLgV+CvAAxik9fDv5TjuBYkVpJREE9A1BJ0D\nkqQJMyphZrWgPDi162Yo5nCsy8SrCxY0TD7TG02YtPWMUlbkoaE64KrGsx2HcCiElJJaFxFDMpLk\nhS/9jNPvtqP5VL744/tdO2eaoTaMzmN4565Gc7GCAbDD7ZiHPkKbtQJ15pL85JqIYX76Fs5gL/pV\nt6HWZz/xsws//8+zPzkJB/OAiXHAQOgCfXEQfYEfZfxB1Z/VjuWtrEO5i/3Ol2tnq23zWYWNdWaX\ntorVPxMzshCroxl91in0ZfvQmv8pa4fM73tiLzOZGE0XCPd3oV99e47vZyKc6CDm3s0o5bVoi67N\n09DOIHn8UxAC39w1OQuUo91Rfnbfc3Tv6sVb4uErLz/E7I3nv3+mKGEyu56RmEF772hBoTjHkZwZ\nixw0V2k0V6lTcjAxLMmZfmjvl4wmobECGssFNaUXngeePiK6s8Cxr18hos8CYw2d+qWU3xFC/BlQ\nLrMaOgkhVNLz21uALmAn8LCU8ojb/kKIlUCvTHcsXAK8KaU8b7o/Xaq5aELS3i9p70vHlOfUCpqr\nKFhC6sh0uK69b+ymq84v97Zsh/beUcxJQnXjdiqjsRh1dXV4c4gYbNPmtf/1V+z5wV4AbvzWem78\nPzYgctys1kg/qRO70evnotfNchcxxKOY+99DeHzoS9e7SoXPnkPXCcxdbyMq6tBXb8wosnQnoszP\naHfYmEck5okkaoWGNteHVv7/opRmdGj9DIhIJr1Yu5oxQ7Ox+lpQS/rRlx9Dn9eK8I65Pniyl1vn\nE5F0bOzW3ZiHtqLNXoG27HrXsCiMfwdHsU7sRl94DWrDXNexdjxKsnUnWnktnuZFOcULnds6ef7+\nnzLaG6e0uYRH3niU6sXnTz5kRiPHutpaV1FCZiiupb6Y4kD+GrlIzOFIl4nPk56c+T2FheGklAxE\n4WRI0jMMdWUwsyodSr8QG65sTB8R3Vvg2FeuENFnASHEUeBGKWVICFEHbJFZLW6FENcC35RS3j62\n/Q0AKeV/L3B/AfQDdVJKM+u1aZVvS5kO250MpcN4LdUwt1YQ9BV2LSUMh6NdFoYlWdSoUxJwvwGn\nEqobb73s5sQgpeTjv9nKO994FyQsuHce9z/zJbzF54eAnFScZOtOFH8x3lnL3Wfdjo11/FPsnpPo\nS9fnlXhDuojSOrIN69gutHmr0RavQ5xHsOcT0TkEkbbEPpPCPJnCOtkLUqDVdqFW96Ce7EXRBjjb\n8fQiiUhKkNFi7HAtdm89VncjzlAZWlk3Ws1ptJqTKL44ZJtZ5CEiKRfgdJ/A3PMeIlCMvuZWFJfi\n4rP7GAnMQx8hEzH0FRtc+wgBWAPdJNsO4G1ejF6drSNPY8+P9vDa//IrbMNh5voZfPnnDxGsPv+a\nGXdK0FSVmjyt7c2xUgQJzKovzhuKs2zJyV6L8IjN/HqdmgLLHWwnvfo53ptu2TCnVtBSDZ6LFDJk\nY/qI6IECx750hYg+CwghhqSU5WM/C2BwfDtjzIPAbVLK3x3bfhS4Rkr5B1PY/z/kCsxeyjqiWFJy\nIiRp64PaUljYICgrIGwnpaR32OFEr0ldmcrsWi1vKOFsqJhhuCIAACAASURBVG4SVV0ylSIUClFU\nVESFS9+X1tdbeelrL5KKGFQtrOCrr3yNynnnT/+lbZFqO4ATi+Cbt9bVvRvAHujCPPghas1MtHlr\nXX3qxuHERrD2v4/dcxp98dWo81ZmkF1+Ippwjn3fwImWYYcasfvqsdtqcawyFC2Cog6iFEVQ9ChC\niyHUBEJNIRQLhA26BKkgHQ0cD06DD5kMIOPFOKMlOMly7MEKhGqj1oRQ63pR67tQ60KINnviaRVI\nRHbfANa+08hkHH3VTSgNcyd3ZQ+3Yx7+GLV+Dtq8Ne6GtI6D0XEEa6gnLUrIQVaO5fDmn/yaHX+/\nE4Cr/uMabvveHTnl/eN9skpLSijL45QwEjdpL1AV1x+1OdplUlGkMq9eQy8gmmBakpOhNAGVBmB+\nfXr1c7FWPm6YPiL6SoFjX7hCRNP25kK8DdTleOm/Ak9nEocQYlBKOWGuKoT4EnB7BhE9BlwlpfzD\nTCLKtf9YWO6XwK1SytM5zk3+2X/5JkKkJZobN25g400bLubjngfTkpwKQ2uPpLwIFjcKKooKKWqV\nHOs2iSYki5p0yoP5ZpJpVZ09Fqpzq8WwbJtQKISiKNRUV+fMGw2eGOSn9z5H/5EBvCUeHnjuS8y/\n63xvLCklVridVOcxvC3L0CtdTNNI9ywyj3yCjPShL7khr4prHM5QGHP/+ziDIfTF61DnrMhBYqMu\nP8P5wodDSAucQXCGwBkexolqyJiKTKjIlAdpijHfOAUUEJoADwhfAiXgIIodlBIbpdxGqbRQAuP3\nVWYP7+wc2w15P6cd7sA6uBUZHURbegPqrKV5JdmQLhI2j21HDoXQl61HKc91e6XhpOIkT+xGaDq+\nOatyhvji/XH+9Ssv0PZeO4qucOc/3MGa31t7/vtKSTQaZWBwkJqaGoKB3G3px2vg+oeTzKwvpiRP\nKM60JMd7TIZikkVNhdXYGZbkeI/kRAjqSmFho6A0MN11RPDu5i1sfm8LjpM22v3OX/3FNBHR1woc\n+9zn4azgA64GDksps5vVX9yxL+MV0VFgw1gupx54L0dobR3wrYzQ3H8BHCnlX+fbXwjRBLwLPCml\n/MTl/eVzH6SX8+PFa14tLd8s9kNJIC3trCyGiuJ0jdGFwnYkp8NwtFtSFoAlMwoTNoQjNq3dJtWl\nKnPr3FdHhVanSykZGBggNlb86vWeH35LRVO8/NhLHPtlKwjY8K0b+cJ/XY+Sw4zVjg2TPP4pamkV\n3uYlrqE6yJjBV89Am39VXvXXOJyBHsxDH+P0d6LNXY02fzXirHJvakQ0EW1Z2/9/e+8dHdd13ft/\nzlTMDAZtBr0TBMHeRUlWsXpkS4ntxE6c95I4fnlO8kvxW2kvcezEsh0/2ynPTn0pL3lpK3HiOHbc\n5KpmiVShxE6CDb1jAExvt5zfH2cggeS9gyEJEnJ0P2vNIjhzZu7B4N67z97nu/deuYV4eTjssvbm\nV3B1hkiaJubkefQzLyDzGTxbb8fdu8O2Rtyr75MSc2YIbfAF3C29q3qY+uI0heHjeFs34G219rDG\nnhvj3374X0lNZQg2BviRL7ybrjuulIabpklsYYF8Pl82aXplKK6nNYyvTChuPmlwdlKd233Nq6cx\naLrkXMkAtdXDlnZBdYVhbyukhGQWFlKwmC7lEuUgk1cpHK5SHpGnlEf0o3etlUf0ExWO/fv1MEQb\nUfXl3iml/Pc1/ezXsSH6XWChZFR+A6izECt4UGKF+1FFXl7kUrHCFe8XQtShBLofllJ+sczxLwnN\nmRLyRZXQlspBIqNyiBZTEM9AbUhtgLY2QHs9BFa/j16BYSoPaXBS0lgD2zoE4UAlF6BGIivZ2uGl\nrox3VGmoLpVOE4vFbLtjSlPyzMef5qkPPw0Seu/r5gf/6Z1UN18ZhpO6pkJ12QT+jfts20mAyofR\nz7+EMTeGd9MBXK0bKgqlmIkF9MEXMcYGcbdvxN2/B1d0ZbHX178hkrk0+tAJjAtHEIFqPJtvwdUx\nsKoHBKpCgn7mELKQVV5lGXm8NHSKY2fQE7NU9e21zg+SkkN/cJBv/8Z3kIak47Y23vW5H7GsGadp\n2iWVs+32gypNUNUMybkpdT6v5u2DumYuzqprpqUOtnZcmwEyTJhLwNQiTC+pn32e0kKzWl3fNQGV\nvB70g+eydcHahebeV+HYv7ophkgI4ZKlTqxWhkgI8WHgt6WU17EUf30bogbgX4EuLpVftwF/JaV8\npDTuLbwm3/5rKeUnVnn/h4DfAM6vONyDl7uaV7NHZJgQS6oTePkRDkBXoxIlNNXC1YSmdUNyfkaF\n7Doj6uJarVLwfMJgcEqjudZNXxnvqNIE2EKhwOzcHIGqKiKRiOUN5sI3LvCFH/s82VieUHOQH/rn\nd9J7b+8V46SU6LEJCmOn8bX24W3tKy/Pjc+inT6kur9uuc22MdsVxylkSzfzoyAk7t5tuLs346q+\nXDZ8eSLR/GX/vzxLYOUN+PKQ02UVtK9gZZLSpeoyqbdiTF7AGDmJOTeOu3MAT/9eXJHVw5Pq/UX0\noWMYE2dfk8SXq6aQjpO/+AruUB3+nh2WHlNuKccX3/MFzn1ZXR63/dKtPPCpBy33gzKZDPOxGHW1\ntdTaVHlfqYpbLUE1llR7QY01bja2lt//lFKJEE6OS+pCsL3z6kNwmQKMzsHovDJAdSFoa4CWehXW\nu5rF5NoZov+vwrH/55LjCSE6gb8HmlDRwr+UUv5RpWkwZeaUQC3cnyi9/9+51BA9hjJE15ZFvHyc\n16shWm+uR6xgmjCbUCf4yJwK6/U1Q38bRMOVG6WCJjkzKRmNwUCroL+1fJ6DpksGpzTSecm2Dntl\nnZSSuXie2cUcXU0h6iwUcOr3UM3KNE2zleCmplL827v/lbHvTiBcgrt/6y7u/q03W4bqzEKW/MWj\nIE2q+vbYJsCqOZoYE+fQL7yCO9qhNtzLjL/89zNjkxjDJzHGBxGhOtydA7jbNyJqrSuR3yxkIYcx\nPYQ5cR5jeghXpBV3zzbcnQMVhSNBhe+MSfXduKIdeDftR/it92SWxxenzqPPjuDr2Y43Yq1SnHh+\ngn979+dIjCbx1/p4+9++g81v33zFOCkli0tLpFIpmpubCdg1YVxuXrdKgqpuSM5P6yymzYr2guaT\nkqOjEpeAXV2CaE3lf89cEYZm4MKMCrt1RaG7ETqjqmLCtbJ2hugXKxz7x5cbohaU+veoEKIaeBl4\nO/BeVkmDWWVOf4mKOK1cYT4BfA5loH4EFV1yDNGNYC1Vc4tpuDAN56dVTHlTOwy0KRe/ElI5yfEx\nlfm9s0vQ3lBe/TMbNzg7rdFe76a3yWObJ1FJaX1ZSkpcWlqiMRql2qJcv6mbPPnhJ3j2E8+BhK67\nOnnHP/wgdd1XKrCklGgzwxSnzuFr68fbUj78JrUi+rBa9bvb+/H07izb2O2K95sm5twoxvg5zKmL\nSNPE3dKNq6kLV7QDUdNwQw2TLGQxY1OY8+MYs6PIxAKupi7cHf24OzYhLKoW2H5WaR9Iv3AEURXE\ns+nAqhJuIx2nMHwM4avC37sLl0XelqmbPP2xp/nux7+LNCQte5r54c//iGVpJ13XVb04IWhuarKt\n6J5IFxmtoGXJYtrgzIROQ7WL/tbye0GZvLoOFtOwo0vQGalMBWeaMBqDs5PK8+mKwsZWZXxW6TNZ\nMWtniH6pwrGfLns8IcQXgT8pPcqmsVQ4tx7gh4FPorpuLZ+4Bioa9bOlzz53tZ8NjiGy5UbIt6WE\nmbi6IIZmoSMC27ugtb4yL2k2ITk6Iqnywp4eQU2ZUERBkwxOauQ1ybZOr22rct0wGZvNUCga9LaF\nqbIoVglKljs7N0cwGCTS0GAZqrv4rYv8+3/9PNn5HL6wj7f88VvY9RO7LG8WZj5DYfgY0tDx9+7C\nbdMNdBmZz6gw1MwQ7vZNeHp2lK1bZ/kZUiJTi5izY5hzY5ixSWQxj6u+GVHXiKs2iqiuR1TXIgLh\nVeXkr36uaUIhi8wkMNNxZHIBMxFDLs4iC1lckVZcjR24mrtxRdvLijas521izoygDx0BtxfPxn24\nIm3lDbihU5w4i74wia9rK55Iu+X4xQuLfP6//BtTL02DgNt/6Tbu+1/347FoOpfJZpmfny8rzTZN\nyVQsSzxdLNvE0TBLeUEJg83tXqI19l6QYUoGJ5UQob9FMNBWWQWETB5OT8CZCRUq39IOG1rU3s9a\ns3aG6NcqHPt7tscrGY2nge3A2GppLFcxv+U9onehGt+/GXgfsFJGOQ08XbH8b/mzHUNkzY3MIwIo\naHB+Ck6Og1vAjm61Srt8E/RyTCm5OAOnJyU9jUrybVdlWErJ9JLBhRmd7kZVCsUujr+QKDC1kKUt\nGiRS47ccZxgG87EYmqbR3NRkqY7KzGf48n//D85+Se0xbH77Jr7/r95GMGrdl0afH6c4fgZPtB1f\n+8CqN3+ZSysPaXoId2sf7u5tti2tK0Hms5hLs5jxeWRyAZleQqYTyFwKXG5l7Lx+cHtey8WRJtIw\nQC8giwUo5sFXhQjV4KquV15WTVQZuHB9RYIDy7kZOsbUeYyRk+D14+nbo7y4VeoOGkszFEZP4a6J\n4O/aahnyk1Jy5G+O8PX3P46W1Qm3hXj73/8gG+63LtWzsLhIJp2mqUypnnzRYHg6hc/jorulGo+N\nu5HImpye0KiuEmxu85Y9f6eW4OiopCEEu7oFQX8lalI4Pgrj89DXCts7lbL1RrJ2hugDlq899dQo\nTz019ur/P/KRZy2PVwrLPQ18TEr5xdXSWCqY0x+gFMbPoIofnsdijwjYgirjew9wt5TSPmfD6jiO\nIbJGCCE//QUNjxu8Hgj4IOAXVFepSrx11dBQLYjWcF3l5qWEiQV14SwkYXs3bOsE/yqL8bwmOTEm\nmYmrC7RcmCJXNDk9oSOlUtbZ1azLFXRGptP4fW66mkOWN5KV+SINDQ3UhMNXHFdKydG/PcrX3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ZNRgcNQhWCbb3utm10UNHo/WN/XISGbXiOzEi2dkjuH2Lq2yNuZUX9B2bVVl7Ky6RzPYK2mzC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\nRQzNwCyaGJq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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "zz, Z, DP = plot_mp(z, dp)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "... and the line density in terms of the spatial macro-particles histogram looks beautifully parabolic-like:" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "analytical_res = np.sum(rfb_matcher.psi_object.function(Z, DP), axis=0)\n", "n, _, _ = plt.hist(z, bins=40, label='macro-particles')\n", "plt.plot(zz, analytical_res * n.max() / analytical_res.max(), \n", " antialiased=False, color='red', alpha=0.6, lw=2, \n", " label='analytic')\n", "plt.legend(bbox_to_anchor=(1.03, 1));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 4. Waterbag\n", "\n", "Last but not least, the `WaterbagDistribution` is a useful distribution when benchmark with analytical results. The distribution function reads $\\psi(\\mathcal{H})\\propto \\Theta(\\mathcal{H}_0 - \\mathcal{H})$ with $\\Theta$ the Heaviside step function." ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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RNz6iEJRSHNlcwtYZh9k6/RAFO0/Xa1b7TNpf3ZK2V5xDDYsRH3aLrGh4sSBw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\n2vtHWRejXfCJ49qXebgyMysnVzzWFpK6SroIkmusI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J/T4uxnki6KiEfKFNXMOjhPx24Z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\nZmYl8D/JShIUzl2o+wAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from PyHEADTAIL.particles.rfbucket_matching import WaterbagDistribution\n", "\n", "plot(WaterbagDistribution, H0=65.2);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The shape of the `WaterbagDistribution` becomes particularly beautiful when being matched to a large bunch length, such that the edge of the non-zero distribution function patch assumes the shape of the RF bucket separatrix. Observe the deforming along the Hamiltonian contours close to the unstable fix points:" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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rjq7XtqXPnZ1oPqiJnqMVRWhxpQk3IqIefi34RWytoEWVbwoOFLL1iz3s+GoX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\nTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(WaterbagDistribution, sigma_z=1.8*sigma_z);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The waterbag distribution function is discontinuous at $\\mathcal{H}_0$ making the use of the \"quad\" integrator impossible. Here, changing to the \"cumtrapz\" integrator is a necessary ingredient to successfully compute the distribution momenta for the `RFBucketMatcher`:" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "*** Maximum RMS bunch length 17.0915700225m.\n", "... distance to target bunch length: -9.5484e+00\n", "... distance to target bunch length: 7.5432e+00\n", "... distance to target bunch length: 7.5432e+00\n", "... distance to target bunch length: -2.4127e+00\n", "... distance to target bunch length: -4.1511e-01\n", "... distance to target bunch length: 1.0734e-02\n", "... distance to target bunch length: -2.9878e-03\n", "... distance to target bunch length: 5.3043e-04\n", "... distance to target bunch length: 1.4292e-04\n", "... distance to target bunch length: 1.4292e-04\n", "... distance to target bunch length: -1.6975e-03\n", "... distance to target bunch length: 1.4292e-04\n", "... distance to target bunch length: 1.8850e-05\n", "... distance to target bunch length: -1.1603e-03\n", "--> Bunch length: 9.54840863759\n", "--> Emittance: 0.801855563296\n" ] } ], "source": [ "rfb_matcher = RFBucketMatcher(rfb, WaterbagDistribution, sigma_z=sigma_z)\n", "\n", "rfb_matcher.integrationmethod = 'cumtrapz'\n", "\n", "z, dp, _, _ = rfb_matcher.generate(int(1e5))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Indeed, the generated macro-particles form a uniform patch in longitudinal phase space (up to statistical noise):" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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Ue5giDdNmPJ5lKpGntjJEc105YQ8z01ze+UKB2WSSVDpNKBSisqKCaDRalGlr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iaKwN/GXCrPllJemnzsISnlx4B64L8xm5D+baYDn1iI5hCJsQR3feJOwg2DlK0t5Zr7r3VdKzQO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\nWm7dV8uOrVV4bFRObU1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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_mp(z, dp);" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "## B. More Complex RF Buckets? Let's go!\n", "\n", "So far we have always matched the different distribution types to a single harmonic bucket. In principle, we simply need to provide a different RFBucket instance to match the same distribution type to a different RF bucket. Let's try something more fancy in an accelerating double harmonic bucket:" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": true }, "outputs": [], "source": [ "rfb2 = RFBucket(100*2*np.pi, 2.5, m_p, e, [0.027], 1e-24, [8, 16], [24e3, 20e3], [np.pi, 0])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 1. Thermal Distribution in Accelerating Double Harmonic Bucket" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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GMfA5J4OM7DTSs9MREdwuN+4mhXIp3C43rgY3DTWN1Nc0mJ+N1Fc3UF/dyOH9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\nY0l1yA6UGnYAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(ThermalDistribution, rfb=rfb2, H0=16);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Compared to the single harmonic case, we just have to use the new RFBucket instance `rfb2` and plug it into the RFBucketMatcher, which will do the rest:" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "*** Maximum RMS bunch length 14.6639459805m.\n", "... distance to target bunch length: -1.0352e+01\n", "... distance to target bunch length: 3.1500e+00\n", "... distance to target bunch length: 3.1103e+00\n", "... distance to target bunch length: 2.8129e+00\n", "... distance to target bunch length: 1.5749e+00\n", "... distance to target bunch length: -9.9839e-01\n", "... distance to target bunch length: 2.3178e-01\n", "... distance to target bunch length: 2.4292e-02\n", "... distance to target bunch length: 7.9674e-05\n", "... distance to target bunch length: 4.1080e-08\n", "... distance to target bunch length: -3.9089e-05\n", "--> Bunch length: 11.4580677858\n", "--> Emittance: 0.683677968034\n" ] } ], "source": [ "rfb_matcher = RFBucketMatcher(rfb2, ThermalDistribution, sigma_z=1.2*sigma_z)\n", "\n", "z, dp, _, _ = rfb_matcher.generate(int(1e5))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Compare the macro-particle distribution below to the analytic distribution function above:" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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+UF3aZFQR2HIIth3W/qH6StKOCa+1Coe64ZzFiqqSzPrR1mezr8NmcZOf+srM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\nwTnznErTXUf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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_mp(z, dp, rfb=rfb2);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 2. $q$-Gaussian Distribution in Accelerating Double Harmonic Bucket" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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d6DxUgzEwurFBHfleW1FHjenaaHwanVHloWoqD1RTedAI8lF50PheXx3koIAQ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2lwTAHnPzM0ZOGyBkPm2XWwtq2HMrcC64TrOnP0qS04uKuU92+eS8n+skrnwyqwKvBS+MSPZcRU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\nfOnNgBdLHr8E7Fa6gKTNyAqufciKK6/FVjdWLFvBdQddx/BJw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WfB+utnPy2tShdXuwD7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\nPOIuAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(QGaussianDistribution, rfb=rfb2, H0=76);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also match with respect to the longitudinal emittance again: " ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "*** Maximum RMS emittance 2.15088329569eV s.\n", "... distance to target emittance: -7.61e-01\n", "... distance to target emittance: 1.02e+00\n", "... distance to target emittance: 3.96e-01\n", "... distance to target emittance: 8.02e-02\n", "... distance to target emittance: 5.16e-03\n", "... distance to target emittance: 7.46e-05\n", "... distance to target emittance: 7.15e-08\n", "... distance to target emittance: -5.52e-06\n", "--> Emittance: 0.764000071548\n", "--> Bunch length:11.8113502938\n" ] } ], "source": [ "rfb_matcher = RFBucketMatcher(rfb2, QGaussianDistribution, epsn_z=epsn_z)\n", "\n", "rfb_matcher.integrationmethod = 'cumtrapz'\n", "\n", "z, dp, _, _ = rfb_matcher.generate(int(1e5))" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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4mFNrEvAV1iUi/NX/vpFLrvsqjVVwWqsi6M8t1zkAD2+Fllo4Zxn4skJfuwaE2550WNys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EdrPV+BWwForZN4vYimgU8u5aTroblVwNN//RTjRyZp2FLHa39rcRkme2IQq75V1JUD0HMTKCuI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lj6qCDiiOCA9tzvLCXos/+1j1LBHRd2a47+0eEb0dMF1oznGEvhGH/cdtdh22OTpos3K+nwtW\n+lne7TtpXVHvsHDfFpuGGsWN5xuukxr0wvilg7DruCaj4urt0biWd6/qUixudb92Iunw8pEsi1v9\nJW3sk2mLnhMxWuvDtNS7iUFyjSITySRtra2uMRIAqWiKB3/9AV753k4A2ta1cuNXbyqbO8rDToxh\nDh7BGunDV1WLv7EDf33bGaVCExEkk9Sr+1QMJxnDTk4gmaTrB9cI1+j74ao5a9b6WiCOo4nEMsHW\nt/mCWe152YiUdnnQnpsODSp/zvsKhvXta/CwzKTJju/u4LkvP8vQTt3gvqqlgg2fvZzzf/V8fIFS\nsUt+rEl1dXWJtw56cnFP7wR1NSE6Gitcz6ezOifUVudjYYuvrCd0xSr31OSTkdCDzzsMjAkf3Ohz\neU+mJXz30QyjMYdP3BgmUjVb8u07Z7jvBzwiejtgpjmiRErYesBi8y6TRFq47OwAF50VoGKa8eCW\nLWza4bDjsHDj+QbLOktX0YcGdD+rDatgSdH82nhaV3/Pa4KzutyeVSLjsO1Qls4GP/Ob3RdhxrTp\n6Y1RUxko6bkFEIvHGR4eprGhgZqa0iagu+/ZzYO//gDxEwkAzvnI2Vz9N9dQ0z590ao4NvboAFb0\nBNb4EEZFDb7aZnw1jfiqT89EVRFHE04qnttik7fKH8CoiGBURjTpVGjSOdPb6pzpEBEGXh5g239t\nZdsd28iM6xrH6vYqNvzxBs795fMIVJSG8BzHYSQaJZlI0FwmFAdTHn5nUyWNtW5vLJF22HY4S3eT\nn3lN7nNr7wmhZ0ALE1yeUAzuf7GUhBxHuHezw0RSeP/l7qhHIiV848EUkUqDD10TIuhXs5gj+sEM\n932vR0RvB7wWscKRfpsnXjbZc9Ti0tUBNq4NTptPOjoo/Og5myXtOndULPUenoCHtsKKTt3Nu5AX\n0qbw1J6pqa+FXljaFF4+nKW20mB50ehxy3Y41BdHoXtv+YpCbNlslv6BAT1QrLkZX1GoKRvP8uRf\nPsFzX3oOO+vgD/tY/+nz2fCZDVQ1V3EyiGNjx6LYECjwGAAAIABJREFU48PYsRGc5ARGqFKTQEUN\nRkVugFuwQq/EZ9ImRmRSQSfZNE5OQSeZVC6Hk0AyKd2CJlw9STT6tuaMGrv9Zoc4Qt/WPvbcs5ud\n33+F6IGpmsmO89s4/9cuZPUHVuMPlS4+RIRkMsnw8DAVuZxlcZhYRBgYTTM0mmJhew3VRTnP8YTD\n9qNZlrSVFqvu7oUjw8IVK90kNDwBD76YywkVkJBlCz98xsGy4bYN7mtzZNzhP+5NcdZCP++6NDgZ\nEpw9Ipp2VmfRvu/2iOjtgNejmhsZd3j0xSzbeywuXxNk47pA2TxSOis88LzD8Lhw66VuOSjoeqOH\ntkKkAjaudosYLFt4dr+AwEXLlKshqmUL24+Y+Hx62mthEjcvdZ1IZFncWSrvdhyHkZERkqkULc3N\nrvHjeUQPRPnp7z/M3h/rbu+BSj/rP30+F/7mhSWy2+kgjp0LiU1oDyWnlnOyaV3578+Fhwyfqw0N\nopP6Ytu6p5syChL2YZ2zCVVokgvl2u68gR6OYzvE++NMHJ8gMZggFU2RHk2THEmSjiZJj6WxMhZ2\nxsLK2tgZGztrowyF4TcmN1/AwBfyE4qECEXChGrDhGpChGpDhGvDVDZVUtlcqW+bKsuGtE4n7KzN\n4M5Berf0cvCRHg4/fphUND35fGVTmJW/sIrzPrWe9nXt075PNptlJBrFNE2am5rKnm+W7XCkP45p\nC4vaq0vq4/KCnVVd7rY9+TqhvjFdJ1Sojhsch5+8BBtW6h6QeZiWcNdTDgEfvOcSw1WcfmzQ5uv3\np7l6fYDLznHXvs0eEd0/w31v8ojo7QCllDz4VIxwyCBSZdBY66Ot0Uc4NPOE9PC4wwPPZjl4wubG\ni4OsX+EvGYQnImztER7f7nD1OoM1C93vb9la3j2R0g0XC4tfnVxV+GgcNqxwK4AcR9jda5LI6JlG\nxUQ4PJbmxEiSea3V1FWXFpQmEgmGhoeprqqioaHBVTyYR99LfTz2J49y4Ce6El75FCvfs5wLf/ti\nui/pfs2qLRFHN/7M5zNEmJRvK5WTOWsJ9+koRE0OJxneO8zI3hGGdg0xenCEieMTxHpjxAeSiH36\nr6FQbZDKxoocMVVQ2VJNZVMVlU2VVDRUUNmobysaKyb/9odnHgoVEbKxLMmRJImBBKMHR4keiBI9\nMMzQriEGdwxhZx3XayLdNSx552LOev/ZLNi4AMM//f/GsqzJ1lN1dXXU1Zbvlh5PmRzui1NbHaSz\nqdLl/YsIx4Ztjg5bnFNUwiAivHhIGEvojgmF53/fKDy8DTYWFaums8L3n7SprVLcfKHhOtbuIxbf\n+Wma918V5pzF7u9xMGrR2jhbqrmZNcZW6jqPiN4OUErJdx4YJ5VxmEg4jIzZDEQt6qp9LOoKsGx+\nkNVLQrQ1vvrFfbjf5p4nM6Dgto0huppLV7MDY8LdT9l0NyuuX+9eiUm++LUXrj93ahiXfk7YcwIO\nDggbimqNRITDQza9UYs184PUVLh/GBIpk4N9cRpqgnQ0leaNbNtmeGSEdDpNU1MTVWVi9gC9z/fy\n7D88ze679+BY+nyqX1TLOb+4ljUfWUP9oukLGs8U2KbN6MFRhvcM6233IMN7hojuHyUVzZz0tVUt\nFdR01lDVUkVFYyWVDZVUNFYSrg8Trg3jD/vxhXz4gj78IT++oE/X4FiOa7NSFplYhsxEhmwsS3o8\nTWY8TXosRXIoSXJYb6loBnFO/br1h334w3784ZwtObsAHNPBztrYpoOdsUiNZnBM56TvV7+4lvZz\n25l/xUIWX7uYhiWlwoJiWJbF+Pg4E7EYNdXV1NfXl4ThYKpdz/B4uuxiyXH0iJSJlMOa+e52V7Yj\nbN4vmA5cUhQtODYMP9tR2rYnmRG+u8mms1Fx3XmG63Ns2W1y3zNZfumGMAvb3bZueSXFHfdN8NXP\nts0SEW2a4b4bPSJ6O6BcaM5xhL5hi4PHTXYfzrLzQIZgULF+VZiLz6lgXtv0OQdHhM27LB54Nsv5\nK/xcd2Gpl5Ixhfu3OERjwns3lBbNHeiDp/aUruQgV2t0WLhgSelEyYExm70nTFZ0BmipdV9IpuVw\nuD+OI8LCttKwB2gV09DwMMFgkKbGxhIpbR4TxyfY8i+b2XbHNhL9ycnHm1c1suxdy1l203I6L+h0\n9Q47nRARksNJRvaNaO9m9xDDuwcZ2TfC2KHxSRItRqA6QOPSeppWNNO0opmGpQ3UdtcS6YpQ01Fz\n2j+POEJqVJNTYiihCWooSXIkSWo4SXIkQSqaJDmSIh1Nk4qmSY2mX5VYihGo9FPREKayuZK6BXU0\nLGmkYUkjjcsaaVvXRrh25uM+stksY+PjJBIJqqurqa+rczUrLUQyY3GkP07AZzCvrZpgkWeVMYUd\nR7ME/IqzugKuRVvW0uO9K4K6i3ZhWLonN1n1nWvdnUwmksL/PG6zrFNx1ZopEhIRHn3R5JlXTD51\ncwVtDVN2OI7wg0djPLcjzW9+sJ6FncFZIqKnZrjvBo+I3g6YSY5IRDh8wuL5nSme2Z6iptLgyvMr\nuXRNBaFg+bBEPCXc8/MMh/tsPvCOEEu7/CXv+fw+4amdDu+60GBpkapuYEyHFdYsgHPmu0UMwxM6\nb7SqU7G4rUjenXLYfiRLe52PRUW1FflE8OBoqmy9EejcUb64sKamhvq6urIrWdB5k0M/O8S2O7ay\n98f7MBPm5HP+sI/289rovnQ+nRd00ryymYYlDbP2Yz6Zszk2wdiRMUb2jjC8d4iRfcNE949OKrhK\noKC2O0Lj8kZNOCubaFreRNOKJqrb3/xTXUUEK2VhpkzsjI2VtrAyFlbaAsAX9OEL+DACBv6Qn4qG\nilMK5ZWD4zgkEgkmYjFM0yQSiRCJRPBPd944Ql80xch4mo6mShojpZLx0YTDzqNZOhr8JfLseFqL\neNrr4Zx5bkXprmPwQo8ealc4WXUkJnz3cZvzlhhcsspNNPf8PEtPr82nbg5TW1Asnko7fPWuMbKm\n8GvvryNS5ZvFHNFzM9z3Io+I3g44VbGC4wg7D2Z5dHOCA0dNNq6v4NqLq6itLn/R7Txk8b+PZzh7\nkVbfFHtHx4aEu5+2WbfY4PLV7osqloKHXoLmWt2JoVD8lr8YW+tgzXxVUuj3ytEsPp9eSRYr9RJp\ni8N9MSrDfrpbqlztUvKwLIvR0VHiiQS1tbXURiLTEhKAlbE4+vOj7LtvLwce2s/IvtGSfZRPUb+w\nlprOGqrba6jpiFDZVEmgIkCgMoC/Qv8gOqYOYdmmTWYiQ2okRWpEewDJoSQTxyeI9yem9WwAgjUB\nGpc20LCskeaVLTSt0GTTsLShrKTYw6nBcRySqRSJRIJkMkkoFCJSU0NVVdW0ZC4ijMWz9A4lqarw\n09VcVdI9XkQ4MmRzbMRiZVeAphr3OTccE57dJ6zsVCxpc4e1Xzqow9o3nQe1BeLO/CyhjWcbrFvs\nbg30nUfSJFLwiRvDrlKMgajFl74zyoqFQW6/ITLpjc0eEb0ww33Xe0T0dsDrUc0NRC1+8nSCzTtS\nbFhXybsuqyJShpCSaeGHT2Y43G9z+7VhFrS594mlNBmFA4p3X2y44uCmpWPdGROuXeseRZ61dIzc\nEbh4mbuhoyPCgT6LoQmHs+cFSnrU2Y7uYjwWy9DdUkVdGe8IdIug0dzQvUgkQm0kMm2oxfWZR5Ic\nf+44R586wsC2fob3DDN2ZGKqO9YsoLK5gkhnDZHuCE3Lm2lc0UTjMh1SqmqZ/gdxNiAiOI4ztYno\n4lIR8udT4Ud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Hx4FPXOse6737iMX/PJLhpkuCXLRq6gubiNv80/dGqav28blPNE7mc0WE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\nKf4/XqhTFQ84gewAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_mp(z, dp, rfb=rfb2);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 3. Parabolic Distribution in Accelerating Double Harmonic Bucket" ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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TkpFCcroxeKhGY2J0U6M6/Lmusp5a07XReDcGo6qDNVTtr6HqgBHko+qA8bmh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rBcgcHgLla9WE4F1rHXdeXIk1uyf0c5H97yPWV7K6qcD6rAiuCm8Ikdy4ipzOPEq5lu8oro77hW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\nLq7MzMzMzMyqwMWVmZmZmZlZFfx/9zSZtqsmg7YAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(ParabolicDistribution, rfb=rfb2, H0=47.7);" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "*** Maximum RMS emittance 2.15103961677eV s.\n", "... distance to target emittance: -7.59e-01\n", "... distance to target emittance: 1.29e+00\n", "... distance to target emittance: 7.67e-01\n", "... distance to target emittance: 1.15e-01\n", "... distance to target emittance: 2.49e-02\n", "... distance to target emittance: 3.20e-04\n", "... distance to target emittance: -2.32e-07\n", "... distance to target emittance: 5.74e-06\n", "--> Emittance: 0.763999767887\n", "--> Bunch length:11.8141131886\n" ] } ], "source": [ "rfb_matcher = RFBucketMatcher(rfb2, ParabolicDistribution, epsn_z=epsn_z)\n", "\n", "rfb_matcher.integrationmethod = 'cumtrapz'\n", "\n", "z, dp, _, _ = rfb_matcher.generate(int(1e5))" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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l2LrP5l0XBlk6J1uQYDvCQy+5HGnX84NqMyaaisDWw7D9iPYH1VWQcUx4pVk4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Vhx/TzCNmFGiglsXEaNZk5B1L4ix+x91b0cI3v3UTp11CjVthpboVxETge/Y9aWTuRwcKAuahtR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\nWBjk9huiE97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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_mp(z, dp, rfb=rfb2);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 4. Waterbag Distribution in Accelerating Double Harmonic Bucket" ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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dz339Cay2fiNJLrCGAAuUUo1KKScwC7gcuAh4wSrzAnCJTfbFhJQS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yRSMRhCQPnDmD/hgtXtxaouVbvde7AS6yZw6gtDWP7PdSx4fjmL/5NF1qKDnP1kdxq0qXtc20D2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\nuwD4JvBiYB297vHHjh/Qom/9DwEXjR8t0HpIo2z13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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(WaterbagDistribution, rfb=rfb2, H0=16.7);" ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "*** Maximum RMS emittance 2.15109172443eV s.\n", "... distance to target emittance: -3.79e-01\n", "... distance to target emittance: 1.77e+00\n", "... distance to target emittance: 6.32e-01\n", "... distance to target emittance: 7.37e-02\n", "... distance to target emittance: 1.07e-02\n", "... distance to target emittance: 2.10e-04\n", "... distance to target emittance: 1.34e-04\n", "... distance to target emittance: -1.53e-04\n", "... distance to target emittance: 4.76e-05\n", "... distance to target emittance: -4.07e-06\n", "... distance to target emittance: 4.84e-06\n", "--> Emittance: 0.381995932897\n", "--> Bunch length:10.150766877\n" ] } ], "source": [ "rfb_matcher = RFBucketMatcher(rfb2, WaterbagDistribution, epsn_z=0.5*epsn_z)\n", "\n", "rfb_matcher.integrationmethod = 'cumtrapz'\n", "\n", "z, dp, _, _ = rfb_matcher.generate(int(1e5))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Aaaand voilà, the beautifully peanut-shaped waterbag distribution matched to the Hamiltonian topology! Note how the edge of the waterbag patch resembles the Hamiltonian contours:" ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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jFuVhxdJmf47Pm+sKmw8JfSNw/lKVQywjSbjvJe1Dd96ycTISER7Z6rL3mPCe\ni0wqs+rJwQ6HW+5Lcu25AdYvHy+LiHDvk3F+tynOn91YzaKWcRHDTBHR0imm3U2JiN4QmA4Rdffb\nPLM1wZObE0TDiivOibJ+VbjoCAhg3zGHnz+SpLXB5O0bg0TDueliceHXTzuUhRVvOcfIGSU5rnbk\n6xuGq9ZCWZbgznG1z0U8BectUWM+F6AFC3s7bPqHXVbN9VOWJ5JIWQ6HOkYwDMXchmhRXyDLtunv\n6yORTFJdXU3FJAQkrnDkqSPs+OV29vx2D7HDQznHQ9VBms5sZNaKBuqW11O3tI6KlgrKGssIRANF\n8ywG13ZJDiaJ98QZOjpE7GiM2JEYsSODDB4coH/fAMPHRiY8P1gRoGZJDXVL66g/bRa1SzVB1Syq\nGSPAEqYPx3GIx+MMj4xgWRbl5eVUVlTg8xV/piJCLG7R1h2nLOJnTn2kwFznuMLudpuhUf0NZ5uT\nRYS9nbCnQzgvrwOWsrT5OhqCi1dCdrbP7nR5Ya/Ley8yqa0YP6er3+U/70mwYYWfy87MnRfdvDvJ\n9++I5YgYZoqIVk0x7TZKRPSGwGREZDvCwWMW2/el2Lw7RV/M4ewVIS5YG2Z+88ST+fGEcM8zKXYd\ncXjHhUFWLiislAc6XO7c5LJ+qcG5y3PNL4m09g8K+rUowZ91etISnt4tRIPaPyhblWTZwrYjFoaC\nFa3+HPMFwMBwiqPdcRqqw8yqLm4eGRgcJBaLUVlRQVVV1YRml/79/Wy5ZTOv/HQrsSPjgUjCtSEW\nXb2I+ZcsoOXcFmqX1L5mIxFr1KJvbx99e/ro291H7+4e+nb10renn9RQ8RGVMhSVrRXULauldlk9\ndcvq9PY6HUW5jksqlmK0b5REf4JEX4JEf0L/3TfKaK/ebyUsnJSNnbT1b8oBATNgYPhNTL+BGfQR\nrgkTrY8SrosSnRWlen411QurqWytxJymw3I6nWZoaIjhkREi4TBVVVUEg8XFPY4rtPeOMjicYs6s\nKNXluelEhPYBh/2dNsvn+KmvyC1Lm+eisH6RorFq/B3ZDvxuq7YmXL4asm9hy36Xx7a53LDRpClL\n+BAbcfnPu5MsaDa5fmMgx4Td1mXxr7cOsGZpiBuuLMfnM2aEiM6YYtqt5BKRUuoW9Oq53SKaz5RS\n/4yO4J4G9gMfFJGYd+yvgQ+hV6L9jIg8dDJlP1mUiGgCKKXkWLdFIukyFHfpHXTo6LU50mlxpMNm\nVo3JioUgJ1J3AAAgAElEQVRBVi8NsqQ1gGlO/A26rvDcTpt7n02zZrGPazYEckYrmTRPvSq8tM/l\nbRsM5jXkNvQDI9revbBRO+1lt4PDCeHJXXrSdsWcXPKKp1y2HrKorzBY1Jgb680V4VjPKLF4mvlN\n5TrcSx4SiQQ9vb34/X7qamvx+wvNJiLCoccP8ezXn2HvvfvGFoMon1PGqveczvK3Laf5rGaM11m4\nHxEh3h3X5LSrl56d3fTu7KFvTx+xw8OIW7xu+KN+KmaXUT6ngso5lVS0VI6N5sLVYS2iqA4Rrgnj\nn4KfVU6ZXCEdT5Ma0mbH1FCK5GCS0d5R4j1x4t1xRnu93+44o72jjPYlSPQnX5NFOJSpqJpbQdPa\nJprPmkPzumZmr589pVGs67rEhoaIxWKEgkGqa2oIBoqfN5KwONw5QjTsp2VWtEDuHRt12XY4zZw6\nH3PrcueNeof1vNEZrYq59bnWhMe3a3Pd1Wt1dIYMdh51uf8FtyBMViIl3HJfknAQ3ndFKEfcEE+4\nfOf2QSxb+MKH62aEiNZOMe3LFBDRBejl7X+cRUSXA4+IiKuU+hr6nL9SSp0G3AqcBcxGL72+RETc\nkyn/yaBERBNAKSX/6xtdWjUXNaitNGmsM2lp8DOv2U80PLVGdW+bzV1PpfH74PqNwQJFHGhZ6V2b\ndHiY6881KY/kfs8ZBdA5S2DZ7Nxze4aEZ/cKq1oU82flntc/4rD9qMWiBh/NNbkkY9kuB9qHMU3F\nvMayAjOI67r09fcTj8epq6ujLFoY1FFE2H33bh7/8qN0be0BdM/6tHeexpoPr2XehfP+oIq2PyTs\nlM3A/gF6d/XSu0sLKnp39dK3d4BU7PjzUhmYAQMzYOot6I04AqZWpdmCa7uI4+LaLnbSIT1inXCZ\ng5UBwjWaAMPVYcJ1ESK1EcI1ESJ1ET3vFtZzbmbQxBfy4Qvq78KxHFzLxbEc7KStR1O9eiQ10jnM\nwIF+BvYPMtw+UkB4ht9gzvomFl65mEVXLabpzKZJR4yu6zI0NMRgLEYkHKampqaoyc5xhbbuOCMJ\ni/lN5UTyOkpJS3jlUJqysMGy5lzRzdCo8PtdwpImxZKm3PnVJ3fqaAzXnAmhLB7c3+Fy57O6I7ig\nabw+2I7ws9+liI24fPjaMNFQ7vzUPb8f4a0XV8wIEZ01xbQvUGiaU0rNA+7JEFHesbcBbxeR93mj\nIVdE/tE79gBws4hsOpnynwxKRDQBTlY1d6TL4b5NaXoGXa7ZEGDN4uKRpw90uty9yeWMBdrRLl/B\ntv0IvLQfLi8StLTNU8adnWeGAOgYcNjbabGyxU9NXuigeMLiQMcIdZVBGmvChXLyZJLu7m6CoRB1\ntbUFSjgRYf9D+3n0iw/T8VIXANFZYdZ98mzWfXwdZQ2FQV0ngoiLpEZxk3EklcBNJxArjdhpcGzE\ndUC03BYFKANlmGCaKNOP8gVQ/gDKH0IFQhiBMCoY1mn+AMjIy4ePDTPUNsRQW2ZeapDR7hFtFhtM\nkuxPkYylpqcA9OCP+AiUBwiWB/RvRZBofZTIrCjR+ijRWWVE6iN6X12ESL0mnD+UMjAbdtKmd1cv\n7S+10/7iMY4910bnlu4ccqqcW8GKd61g1XtOp3H1xEFrHNdlcHCQoaEhqqqqqKqsLFpHMqbjptoI\ndZW5AhrHFbYftXAcOH1urohhNCU8sVNorVOcNntcoSgCm/ZAWy9cexaEs8joSI9w+5MO155tsHRO\nljO5CPc8nWbHIZuPXxempiL3Wc/UHNH6KaZ9jmkT0T3AbSJyq1LqW8AmEfmZd+z7wP0i8uuTKf/J\noEREE+BEiEhE2N/u8shLadp7XS5fF+CcFb6CqNagw/g8ts1l+yHhLefkxsECcF14JuMlvhYqcx27\n2dsh7O4Qzl+qoxVnl+Fwj8Oxfpsz5gUKRAn9QynaeuK0NpRRVZZrFhERBmMxBgcHqa+ro6yskFD6\n9vRx35/dy4GHDgKagM7/wkbWfWzdlCb33WQcZ7gfZ6QfNx7DTQyj/EGMYBQVimgi8QdRph98fk0o\nSjEeItpFXFeTlG0htiYtSScRK4mbSiDpJMrnRwUjGKEyjFAUI1yGES5DBaOo1zDmnJ20cdIOdkr/\nOikHJ+2gDIXhM3I2M2gSKAu87kyYx0OiP8HBxw6y/8F97LlnNyOd44rIxjWzOOtT61l14yr8RdRw\noNV2vb29WLbNrPp6QqHCQKzJtMOB9mGiIR8ts6I5HTYRLWKIjbqsnhfIEfck03pk1FCpl5TIJqMX\n9sHBLnjzWblBgTv6hduecLh8jcGqvBBaT2xJ8+jLFh99c+5SEjNFROdOMe0zTJ2IlFJfBNaKyNu9\nv4sR0X0i8puTKf/JoEREE2A6RJRMCy/vsXlqm4VtCxetCXDWMt+EqrnumHDnMw4VUcWbzzZyhvqg\nVT6/26qb3svOyI2UICK8ckToGIQLlimiwalVyIw0uy+WYsHsciLBXNJwHIeu7m7EdZnV0IA/z1SS\nHknz+Fce57l/ew7XcglWBLjgixdw9qfXT9jA6Ou6OEN9OAOd2IPd4DqY5bUY5dWY0SqMSAXKnFl1\nmogg6SRuKo4k47iJEdxkHDcxjKSTHjGVY0TKMcIVGJFyVHByiXEJU4PruBx56gjbb9vGjl/sIDmY\nArTZcN3H13Hu588jUhcpOE9EiMfj9Pb1UVZWRk11dYEgxnGFw50jpG2Xhc3lOVEZxjtgDmvm5zq/\npm3h9zuF2jIdoy77Pb+0H/Z2aDKKZpFR96Bw6+MOG1carF2UW46t+2x++Viur9FMEdH5ExwbBGJZ\nfxcL8VOMiJRSNwEfBS4VkaS376/Q53/N+/sB4Msi8tzJlP9kUCKiCXDcWHMpYdcRm1f2O+w8bLN4\njsm5K/0sbc0NR5IN1xU27Rae3ely8ekGaxYWOiUOxrUooaUOzl2qgzhmn//CASGehPOXqZyJU9cV\ndrRZpG04I89EISIc7oqTTNksnF1REFYllUrR2dVFNBqltqamoEwHHzvIXR+8U0uwFay+6Qwu+9rl\nRGcVXwxMRHBHY9g9R7H72lHBCL7qRszqBozw5D5Hf2iI62hiSgzjjg7hjg7jJoYQ28oip/FNBU4s\nQsTrFSICrgOuo0eW2TY1pSNBYPhmZNRoJSx2/GIHL3z7Odpf6AS02XHdx9dx3l+eX/T7cRyHnt5e\n0uk0DbNmFajrsjtUC2eXE87rULX12Rzqtlk9P9caYNl6ZFQdhTV5ZPTyAdh9DK47S0u8M+gbFn72\nqMP6ZQbrl+Y+j4MdDj+4L8mVZwc4b5V/xojokimmfZTjE5FS6irg/wEXikhvVrqMWOFsxsUKi05q\nLuIkUSKiCZAhIhEhkdZh4zv7XY52uxzqcOjsd5nfZLJqoY8zFvpygiUWQ9eA8NvnHQI+xbXrDarL\nCtMf6YFHt8P6xbB8Tu4xy9HhTExDe5BnE43tCK8ctvCZsKLFn6MwclzhQPswSsH8pvIC9dHw8DC9\nfX1FTXHpeJqH//dDvPDtlwBoOL2eN3//Lcw+K08x4UFcF7vvGFbXQcRK469vwVc3ByM0M6tX/iEh\ntoWbyBBTZhtBHEeb9TzzngpFMYJRjFAEzFMbtVtEwE7jWikkZ0sjdmpsrk1sCxwLcWxNQoYJhoFS\n5vg6FIgON+SRFKjx+bdAGCMY1qbOcJkexfqnR9BHnz3KE//ncfY/cADQTssX/M1GzvnsOWOCiez7\nGh4Zoa+vj5qamqL+ahkT87zGMiryFHudgw57OyzOmBegIpxLRk/uEiojsHb+1MhoMK7J6PQFBhes\nyCWjnkGX/7onwWnzfFy/MTQjRHTZFNM+TIFq7jbgQqAO6AK+DPw1EAD6vWTPisgnvfRfQMu3beDP\nReTBkyn7yaJERBNAKSV/8/0RkinBMKCmwqCh2mB2vcG8RoO5jcWXOs5H2tIrqG49KFxyhsHqBYWj\noOxICZefkRuoEbTp76ndujeXX4EsW9hyKE1ZyGDZ7FxBhO247GsbIhz00Zrn+yIi9A8MMDIyQmNj\nY4GMtuPlDm5/5y8YOBDD8Cku+OIFXPDFjUV9SMSxsboPY3UcwAiX4W9agFk563/ESELstGfaG8FN\nxD1RRRw3NQqCbqADIVRmbssf1A24z6830weG6c11Gd4QN/NcJLMqnkcALuLaev7LsRHHgux5sAyx\nZAjHTuvRiz+IEchc2/v1B7xyBMAXQPl8et7NOH408cyoSWxLXyedxE2Pjps5R7VzslFWjVleg1lR\nixGtmtL7bn+xnUe/9MgYIVXNq+CKr1/F8rctL0ibtiy6uroIBALU19UVmOpGRi0OdAwzpz5KTUXu\nyKk75rCr3WL13AAVkcKRUU200Ey3+QDsbi800w0nhJ895rBktuLi03OD3I4mhR8/mOQTb43MCBFd\nOcW0D1JyaH1DQCklgyMO4YDKWadkqhARXjkoPPaKy7wGxWWrjaKjprStfRuGEzpcT1nuAq2MJLV9\ne24dnJbnI5SyhM0H09SWF/oIpS2HvW1DVJUHaa7NVca5rkt3Tw+ObdPY2JijihMRXvzOizz4Fw/g\npF3qV9Rx/U/fXlT9JK6rCah9L0ZZNYHZizGjVQXppvzMbAtJxpF0AtLJsZ58vmoO04fy+cEX1CQQ\nDEMghFKv8cJ3dnpMHCFWEkmPE4TY6XEycRxENNHolfGyzWFKm8SUoUnCNDW5jN2jf4xQxhWCWYTz\nGi/2B1lzcCMDWngy1ItrJfFVztIm2KpZx5332//Qfh747P307uwDYPn1S3nTt68tUFy6rjtmqmts\naCjwY0ukbPYdGx6LVZeNniGHnceKk9ETO4X6ilwBA4zPGV2XJ2AYTWkyaqlTXHmmUdCpM4yZcWh9\n0xTT3keJiN4QOFH5toiwr0N4bKuLz4Qr1prMqSv+vQzG4cHNOlbc+cvBlzfYGIgLT+0STpujWNiQ\nJ7FOCy8fTNNUbTKvPreXm0w77Gsbor46REN1LrM5jkNnVxc+06S+vj6nl5keSXPXh+/k1V/uBGDt\nR9dw9TffVFQNZw92kTq8AyMYIdCyHDNaOa1nJPEYbqwbGerDHe5H4jGw06hQFIJhbfrxB8Dw6VGE\nUroRzyjmHAu83rqkE2Cl9XmhMlSkXJuPIpWoqLfNsCCihFy4qQTOYBd2fwdOPIavphF/fStGWfWE\nIyXXdnnhOy/wyF8/ghW3CFUHufqbb2LVe1cVNPSxoSEGBwdpbGgoUNWlLP2911aGaKzJ/d4zZLRm\nXoDycK6A4YlXhaZqWJkXTPjFfbC/S5NRtrQ7mdZrGtWUK649O9fVYqbmiK6dYtrfUiKiNwSmS0Su\nK+w+JjzzqovlwIWrDJbNmThC8r4OeGqnjpJwWpHVsDoH9WqUZy4oXBp5NOWy+WCaljofrXW5DWym\nh9hUE6Yur4do2zbtHR1EIpECUcLg4UFuu/ZndG/vxR/x8ebvXceq9xRGvnJTo6QObcdNjhCcuwJf\nVUNBmmKQdAKn5yhubxtuX4c2W1XNwqioRZXVYJRVwUko18R1kOQokhhGEiPIaAyJDyGjg8josFbF\nlVejyqoxymtQZTWoaMVrPop6I8BNJ7F727B6jqAME3/DfHx1syf07Ro8PMg9H7mLAw8fAmDljSu4\n9j/fTDAvvE98dJTu7u7i85m2y96jMWoqgjTV5qryumMOu9st1uQJGFKW8NgOYV69YtnsXKfXF/bB\n4W5tpst2ek3bwu1PugT88LYNxthc7UwR0VummPYuXnsiUkqtBc4BbhWRQW9fFPgOcB2QAP5RRP51\n2nmXiKg4pkpEIwltgntpn0s0BBuWT05AljO+kuoVZ0BdRWGawz3C1iPCuYsVdRW5+cSTmoTmN/iY\nnRctYTRls69tqKjNPG1ZdHR0UFFRQXVVrvmsbVMbt113K6M9CWoWVXPjPe+hblldThoRwe4+TKpt\nN4HG+fibFh7XaVRsC6frIG77ftyhXozaZoz6FsyaZlR46k6vJwtxXWR0CBkZ0KOvkQFkuB9JJzQx\nVdSiyms1QZXXlEZPMwQRwYn1YHUewB0dxt+8CP+s1qLfjYiw+ZbNPPCZ+7FGbWoWVfHO299dYBJO\npVJ0dHaOOcBmw7JdbY4uC9CcJxHvHHTY12GxdkEgR9qdSGsyWtqca3UQgef2aD++N5+V60JhO8Id\nz7ikbXjnBXpNo5kiordNMe0dnBIi+jlwgYjMztr3TeDTQBwIAibwpumKH0pENAEmIiIRYTAO+zuE\nXUeFjn5h6RzFmYsNZtdO/l30DsEjr0BtBWw8LTfWVSbv3e2wv0u4YJmiIi/Uz3DCZcuhNIsa/TRV\n51bm0aTNvmNDtBQJFJlKp+no6KCmupqKilzm23brNu760J04KZd5F8/lXb9+N+E8c56bTpI6sAWx\nLUILV2OEyye9T3dkEOfIDpyOAxjVjZjNizDqW153DbxYaWSkH3eoDxnuwx3qR+KD2rxXXoPhjaBU\nWTUqUv5HN3oSx9ZzbVYSsdLgzV1h2+BqBV3mG1egTaCGT8/B+YN63i0QRoWier7qJODEB0m37cEd\nHSIwZym+ujlFO2u9u3r55Tt+Qc+OXsygyTXfuYY1H1yTk8ayLDo6OymLRqmuzjX9WbbLnrYhasoD\nBSOjY/02h7odzlwYIJQ17zuSFB5/VTi9VdFal0tGz+yCrhhcuy63vrqu8NvnXfqGhRs2mkRCMzNH\n9O4ppv0Fp4SI9gHPich7vb/9QC+wC63YqwG2AC+IyDXTyrtERMWhlJKOfpdkWhhOQP+wdnJr7xdc\nF+Y3KpbMVixuVhM6rmbguloV98ohONdbMTK/DroibD6o11S5YJkinBcUdSjhsvVQmiXNfhoqp0FC\nXg+ytraW8jxzxrPfeJaHPqeD7p75p2u5+t/fVKCKswe6SB3cin/WXPyzF0/aGLuxHuz9W3Bj3Zhz\nluFrWabnfP6IIK6LxAeR4f6x0ZM7MgjpBCpSgSqrQkUqvTmoCj2yew2dYUVEk0s6gaRGkdQopEaR\nVEKbJtOjkEroeTMR8Ae9+bYg+ANa/GD6wTS1jDvzPkVHrcBxtNTbSiNWQueVjOvzIpUYZVWoilqM\nynpt3pymWMIZ7id15FUQl+C8VZhl1QVprITFA5+5j5e/vwWADZ/fwGVfuywn4oTtOHR0dBAOhait\nrS0ko6Mxb/XX3E7V4R6b9gGHdQsCOfU2NqoFDGctUDRVF8am6x/WsemyI96LCI9scdnbLnzyWv+M\nENGNU0x7G6eEiIaAb4vIX3l/bwCeBj4iIrd4+74HXCkirdPKu0RExaGUku/eZxHyQ1lYUV0GsyoV\nzbX6/1NtePqH9SqqfhMuWgnl4cI0tiNs2iu4AhsWFxJbbNRl6+E0y2cXhr2fjISSqRSdnZ0FQUtF\nhEf/5hGe+oenAbj8ny9jw/93bsEEcbptF3ZvG6FFazHLaye8R3dkAHvPi7jDffjmn445e8nrbvRz\nshDbQuIxJD6IOzqkTX2jQ0hiGKw0KhSBYFTHuQuEINP4e9JpPdIwNZFnP2fX1QTgOmNhizKSbTyZ\nNlbSE2UkIZ3QeXp+PQQjev4rGNbhi4Jh8OLtzZSfkya/BG48pk2aw324gz1IMo5R3YBROxujvgVj\nioIVEcHubSN9dCe+miYCLcuLfi8vfvdF7v+z+3BtYcm1i3j7be8kkBWWynEcOjo7CQaD1OWRUdpy\n2HN0iMbaMHWVuXOlezssYqMua+YHcvzq+oa1m8T5SxW15blk9MQOGErocFv5Hgwv7nU5a4k5I0T0\nvimm/SmnhIhiwPdE5PPe3/8L+EdgsYjs9/b9A/A5ESmM0zRZ3iUiKo6TDXpq2fDSAdjVpgUJy+cU\njoJAy0Kf2q39GtbOVwVBTwfiOtz9aXP81OWRUCJls7dt8pFQfV0d0SwSch2X+z51Ly/958soU3Hd\n969j9U2rc84VO01yr3ZiDS1aqxvUIpB0EnvfSzhdhzQBTdCgTAViW8jIoG7sE8NIctRriNOeg6Wn\n3zbNcd+YoDYbEdZKORUuPzVyZsfW5U3FvZGKNoeRMYc5FjgZU1hGwo2+H29p8DGTmOkbk2zj+SVp\nE5k2kxEI/cECuk4Xkk7i9nfg9rbh9Lah/AHMxgWYzYtQxzHfgv7OUkdexYn1ElywGl9lXUGag48e\n5BfX/5xULE3jmgbe/9AHckIEua5Le0dHUTJKph32Ho0VrGskIrzaZmE7sGquPycSSseAjl5y4XJF\nZZZp3BV4bJteE+yqNYUK15maI/qTKab9EaeEiLYDgyI6EpFS6imgNXv0o5T6IXpE1DStvEtEVBwn\nLt/WfgjP7YXmatiwNNcfIRsDI8LTe4RFjYqlTYWjrIERh21HLFa2FkbQzlSy2UWECZOR0F033cEr\nP92OGTR5xy/ewbK3LMs5102MkNj9PL7qBgKty4ua4kQEt2Mf1u4XMBvm4Vt0JiowwU0We0aui/R3\n4PS04fa2IwNdSGJYq9iildrkFYzoRtfn90xIGfm2drTESnnmqDiSGAGPvFS4XKvjKmowKutQFXUY\nVfV6hFDCHwwiggx243Tsw+k8iFFZj9m6HKOu5bijMnuwi9SBrfjqWgjMWVrQmejb08dPr/wJg4di\n1C6t4QMP/wkVc8bnOjNkFAqFCtSgGYvB/KbynCXIXRG2HrIIBRTLmnN98A73CNuOCpesyF123HX1\nciyWo33+smPTzhQRfXCKaX/AKSGiLwFfQWslksCNwL+KyOey0mwC7AxZTTnvEhEVx3SJSAQO9Wgf\nBNPQBJQfISEbR3qFzYeEdUXk2QB9ww47jk5CQm1DNNeGqc0zO6TTado7Oqirrc2RuIor3PnBO3jl\nx9vwR3y85973Mu+ieTnnOkO9JPe+RKBlOf5ZxU28koxj7XgKSY3iX3E+RmX9cZ6Md146idO2F+fY\nXtzOQ6hoJcasFq2kq2nU5HGSPX1xHG9+Z0ALD4Z6kVgv7mAP+IMY1bO0Kam6AVXbpAnvf0D0h9cb\nxLFxOg/gHH4VXBtz/umYTYsmHa26VorU/s2IYxNafCZGILfjMNwxzE8u+xE9r/ZR0VLOBx75E2oX\nj5uLHcehvaODaCRCTU3ueilDoxaHOoZZPKciJzad7QgvHUjTUGkyb1buSH53u3CoR7h4RW5MR8eF\nh7fq8fnlZ4yT0UwR0UemmPb7nBIiKgceADZ4u7YAl2RJuRcA+4CvisgXp5X3652IvMB9/4qWBX5f\nvMWc8tJ8E7gaGAVuEpHNk52rJllCNyvPKRGR7cD+Tth6SHfa1y2EebOKm+FA9xy3HxWO9MF5S3KX\ncMigd8jh1TaL0+cGqIrmVt6M7buhiCe5ZVkca2+ntqaG8vJx04i4wt0fuYstP9iqSei+9zLvwnm5\n99HfTurgNoKL1uKbgFycrkNYrz6Nr2U55oLVxzWDiQhu50Gc/VtxOg5iNLRizlmC2bzwNRUxZBxo\nZaALd6ALt78Lt78DxMWoacKobdK/NY2oyPFNSiVMDSKC29+Bs38LkorjW7wOo2HehOQvIljt+7C6\nDhJavA6zPJdQEv0JfnrVT2h/oYNoQ4QPPvmhHDKyHYf29nYqKioKpN39Qynae0dZ2lqZE/Q3ZQkv\n7k+xsNFPY1VuR2jrYZf+Edi4XOXFb4SHtmgSuvR0/TtTRPSJKab9DqfGoVXpl7fS+3OHZK3q6gVd\nXY1WzR2bVr6vZyJSSpnAbuAy4Bh6YcIbRWRnVpo3AZ8WkTcppdYD/yYi50x2rppgCd28a09IRCLQ\nOagJaF+H9gU6fa6OmD1ZBztlCc/tGxclBIuEDuqOOew6pgM2VkZyG/oxNVBliIY8D3LbtjnW3k5V\nZSWVWZVQXOGeP72bzf+9BV/Y5D33vpf5F8/Pzbf7MOm23YSWri8aIUFcB3v387g9R/GffhFG1ayJ\nbxLPf+jAK9i7XwDTj2/xGsy5y/Ucx+sEIgKJYdy+Tj3P0d+B298JholR3YhR04hR04CqbvijHzmJ\nyFgUirF5N9vSc2+ZOSultHzb9OuIFoGwFmD4AjNy707fMe97MPEv24BRZD4oA3uwi9T+LQRaT8Nf\nn+vtnR5Jc+u1P+PwE0coby7jg099iOr546aHTGcs3yIA0NE3SmwkzeKWyhxiGU5o37z8jp+IV19d\n2LAk1zfQceGBzVrSfekqMM2ZIaJPTzHtv1OKrPCawZMHfllErvL+zllHw9v3XeAxEfmF9/cu4CJg\n/vHO9faPLaGbt3+MiFKWDsfTMwSdA9DWD5EALGiAJc1QUbi8SgH6hrUyrqUWVraqoktFZKIGr84L\nRwI6gOneo0NUFfGPyJglMn4V2Xjwcw+w6RvP4QuZ3Pjb97Dg0gU5x9OdB7A6DhBefg5GqNDJVJJx\n0lseQQUj+FdeMKFwATyTzN6XsV7dhFHXjG/Zeoz64v4ir0eMjZz6O3H7O/XoaaALXAejahaqql7P\nN1XUYVTU6pBCpzr6dnIUSQwhoyNa5DE6PB5dIqHXYyKV0EKIQGh83s3nLxI+ydGKPSutJeLJuBZT\nlFVqx9/KupMya4oIzrE92HtfwmxcgG/xmRP6J7mJYT1XWTeHwOwluYq4eJqfXvFjjj5zjMrWcj74\n1IepbBnvQKVSKdo7OmhsaCAcHu/8iLcciuO4LGjOjejdN6ytEOsWBggHxuue4+owW+XhwuUjbAce\n3KLJ6IrVM0NEn5li2m9y6ohIKRUALgWWA1ER+TtvfxgoB/pEZFpLE7/eiegdaAXGR72/3wesF5E/\ny0pzD9om+Yz398PAXwLzgKsmOzfr/NtE5Na8/fKTx4WkpZ39KqNQV67jws2uhYopdu4zTqp7OoV1\n8xXNReaDANr7bQ50Fa6jAroy7GsbIhryMbs+12fFdV0tYQ0ECvwpnv6np3j4Lx/B8CluuOdGFl+1\nOCffdMd+rK5DhJdvwAgWsqkb6yG9+WF8rcsx558xqUnFObwTe+vjqKp6/KdfiFE9+ajpjwmSiOMO\ndoGoKtAAACAASURBVGnJcqwHN9aLDPV7jXS19q2JVmrlXqQcQtExSTXTDEwqjjM+esn4CiVHx0QZ\nkohrYUZiRIs0/AEt0PCurcLlqHDZ+BaKaom3Of35Nz2SSiIjMe1TFevV5NzXAcrAbGjFaJzvmVqn\n0BvL5JtOYu1+Dhnowr9qI0Z18eXEXStFctdzGGVVBOflxp9LDaX48aU/pP3FTqoXVPLhZz+as77R\n6Ogo3T09NDc1EciKLO+KV5fCfmbnRV842mtzrN9h3cJAzjIrli089qrQWpsbCgg0GT28Fa4+c2aI\n6C+mmPYbnDLT3NXAfwOZlyYiYnrHMn5F78tvT4+H17uzx1RZ8oReiNJL6KYnemjXnQ0hv/YbOJGO\nbzwpvLBfEOCylbkKnGwc6bU52msXhB8B7cF9oH2YUMAsICERobu7G59pFpDQ5h9s5uG/fATg/2fv\nvMPkqK4s/quqzj05Z41yzhEQILIQUZhkm2SiF4TDOmevvWZtr9drAzYGHAAbTDQZtEQFgnLOGmk0\nOeeOld7+UTOa6anuUUsMSNg639ff9PR7VfV6prvOe/edey6XP7p0CBI6FTmOosxoOoS2832cUxai\n5I1I+B7Nrla09cut+kOnXIySQORwtBCmaSVTalHLIaA3fCQpDuvm7v7kZMyS14/iHYVS2L+aFEJA\nNITZ09GbX9SF2d2KaDpkkUVvkim9pRoYUBKCvrCQIKb0A3qv07jT3bt68R6WqEsev+XHl1vSSzK9\nxPMx5mtJkmSNIcuLnNVPFkIIK9G3qQqjbj/axjeRM/NRyidbIdghVs0AksuDa+qZGM1VqFveQSkZ\nj2PMTJtCU3a68U46lci+dUQPbMI9auZhUnenubnujRt49KxHaNrazONL/spNK2/G1VubyOfzkZWZ\nSUNjIyXFxYcd5mVJYmRhKntruvC6lBjFaUm2QjAq2FGtMb28PwfL6ZA4fQK8s0PgdcGI3P7vmUOB\nC2KNHz4STgxhfnxIkjQHSzHXCnwVq7De4RxcIcSHkiRVApdjFd5LGic6EdUBA4PEpUDtEfqU9PZx\nDnWsZJXQXYK1xIyLX//ix4efL1q0iEWLFiU1aCEEB5tgR63lYRVPmt3Xr7LZoLHTYPYoN55BbgpC\nCA41BlBkKW49oda2NkzTpLCwMKZtz0t7ePm2lwG44DcX2MxLtaZDaE2VeCeeFpeE9Jrd6Ae24Jp9\nQcJYvjBN9N1r0Pess8hq7KyjzuERQiB6OjEaqzFa6y0RQWcroqfTystxuZFcbutmK8kgTISuW0me\nahRcbmR/KlJKBnJaFnJ6NnJmbq86Ls9KJP2YIEkSePwoHj/kliTsJ3qL16EPKEw3MI9I7iv/YJEV\niiPhyvNEgSRJvRZIWTjGzEQYOmb9AfTKHWib30Upm4Bj/BzkjKEVlUreCOT0XLRtK9E2LMc57Syb\nzF5SHHjGzyeyfwORik1WXlvv58yb6eW65dfzxwUP07CxiWeveZprX/gccq8YIS0tDVXTaGxqomjA\nd8TpkBlVlEpFbTcel4LP01/ue1yRgy2VGhWNOmML+8OGXpfEwgmwcrdFRrs2r2TFihXD9Sc9jBPc\nROoHWMamc4UQDZIk/ThOn/XAUVPziR6ac2AJDs4B6oF1DC1WWICla18w1LFSghK6g659THlEHUHB\npkqBBMwZZfeL64MQgn0NOp1BkxnlLptwQQhBdVMQVTcZXZRqT3Tt7CQQCFBUVIQygADqN9bzl9P/\njB42WPid0zjnntiaj1prLWr1bryTTrVVThVCYBzcilG3D+ecxci+OI6sWE4K6vsvITlcOBcsSTqj\nHkBEI+iHdqFX7kav2Q+6jlJQhpxXjJJVgJyRg5SageRLGXLFI4SJiIQth+2eTsyedszONsyOFit8\n1NWBnJ6JnFuMkleCkl+Kkl96Mp/oY4YIB9ArtqBXbEbOyMM5dSFyTvyKvoePESZ6xSaM+gpcM89F\nTrNPfoRpENm/AWTFIqMBq6fWPa386ZQ/EumMMvuOWVz0wMWHSUcIQWNjIw6nk9yc2PN29ESpa7Er\n6TRdsP6Aysg8h83TsbnL2us9Y2Ks4nW4VHPfSbLvf3Fc5NutWKXIv9D7+4+BHwoh5AF9/hv4ohDi\nqOSnJzQRweGYZJ8E+09CiP+SJOkOACHEg7197gcWYznAfkEIsSnRsb2v7ydBCd0B1z0qIgpFBTtr\nBQ2dMLVUojw3sQ2QaVqZ3VFNML08Nh7d+76oaw0RDOuMKUmzlfcOBAK0trVRUlyMY8Csv7u2m4fn\nPkigMcT0G6Zx2SOXx26udjYTPbAZz8RTUQbJlIUQ6BUbMZurcM250EoojQOjZi/quuU4J5+CMn5u\nUrN3YRrolbvRdq5Dr96HUlSOc9RklLJx1srlY1gBCEPHbG/CaKnDbKrFaKrBaKlDTs1AKSxHKRyB\nUjgSObvguLgx/LNDGLqlnNz5AVJWAc4ZZ1kCjyFgNFai7fogYThYmAaRfeuRnG7co2bEfG6q36vm\nsXMfw4ganP8/53HKv5/af17TpK6ujoyMDNJSYz/3dS1BQlGDMcWx4oVAxGTTQTWuerWmTbC1Kjbh\ndbiI6IdJ9v0JsUQkSdKfgYuAZiHE1N7XsrD8UUcAh4CrhRCdvTLr3VhmpRDn/pdgfBHgXiHEN3t/\n/zF2IvodVgrNUeVnnPBEdLyQLBEFIoJ9DYLqVktFN6FIGrKEuG4ItlVpOBSYXOq0kQxYMtOOHpVx\npWk4lNgvQSQSoaGxkaLCQtzu/vi2GlD582l/pGlbC2Wnl3LDWzeiuPpnc0agk/DetXjHzbXlZwgh\n0PdvwGypxTV3cVyZtTBN9G2rMA7txLVwKXJO0RH/NiIcRN32AerW95BTM3FOmY9z7PSj2tgeTgjT\nwGxtwGiowmg4hNFwCDPYg1JQhlJYjqNoJErhiOM2vn9GCENH37sBffcaHKOm4Ziy0JKHJ8Bhgcyo\nGTjK7OXDhaET3rMGJSUDV9nkGPLY8dQOnrv2OSRF4rr/uy5GIaqqKnX19bbvjRCCiroefG6F4tzY\ne2dLl8HeBo25o922iMW+BkFlc3/C63AR0X8k2fdH2IjodCAAPDaAiH4JtAohfilJ0reATCHEt3uJ\n6OW+fkcxvoPAbtHrrJ2AiN4D0o/63CeJKD6GIiLTFDR2QmWLoLUHRuXB2ALJtsczGBFVsLVKJcMn\nM64o/l5AS2eE5o4w40pjwwXQnyORm5uL39d/sxSm4MnL/86+l/eTOTqDW9fehm+AxNuMhgjvfB93\n+RQcWXYLKL1iE0bTIVxzl1ib5IMgNBX1gxdBU3EtXHrEG7WIhIhufBdt6/s4Rk3GNXsRSu7Q4Znj\nBTMcsIip/hBGfSVGUw1yWmb/qqlgxKd+1SR0/bDKTkQtLzy0Xg880+i18ev18esVSkhev2W55Bse\n/z4RDqJtfsfKRZt/IUrByIR9zVA32oblKCXjcIyaYWsXukZ41/uWtLtoTEzbW995k/d//gHeLA+3\nb7yDjPL+2luBQIC29vYY8QJY+Xl7qrsozfOTkRJLkgebdNoDBrNGumzh8S2HTDqCVsKrQxmeMhA/\nTbLvD7CH5gYTTG8qy5lCiCZJkgqAFUKICR+BiO4H/g1YJIRYPZiIeiNQr2IVx0s2ymid+yQRxcdA\nIjLM3lIQAWjutkgo3WepZ8qysYXW4qE7ZLKtqq+qqhKXhNq7o9S1hhhXkobbFRub7gsvpKelxSSs\nArzxjTf48Fcf4k53ceva28gZ3x8LP/ylzS3DNUD11Qf90A6Mmj245l0Ud/9EhANEVzyDnJmHc+7i\nIWXAwjBQt76HuvZNHKMm415wPnL60OGYEw3CMDBb6y1iajiE0ViNGexC6d1rkvOKUXKKLHIaYmb/\niY1Xi2J2dyC6OzB7rIfo6cQMdFmy62C35Q7u9VsPtw/J7bFk3wN9/EzLAVxoqkVW4YC1/xaNIKdl\nImflI+cU9a4eRyAfowOFUX8Qbd1ryCXjcM44K2EekYgEUTcsR84vxzFmlu37YkbDhHe9h7tsMo7s\n/tW5aZg8cdHjHPi/g+RPy+WWD2/DOcBjrrW1FU3XKcjPjw3FhTUO1vcwviwd9wB7bSGsCIbbKTGh\nOHashxNeBZw2fnjct+9Jsu93SYqIOoQQmb3PJaBdCJHZ228HsB/oAr4vhHgvifGVYNn6+ID7sFJk\nrsKqznoGcFfv+aYLIVqSfCvWuU8SUXxIkiTe2GoQ1a2EVr8HsvyQmyZRkIGtXtBQaOw02FevMbHE\nXsahD10BlaqmgM0PC6wPfENjI844G67b/76df3zuH8gOic8vjw1HCCGI7F2H5Pba8jAAjPoKtP0b\ncM+7OG7FVDPQifrO31FGTsUx5bQh93L0+kNE3nwKKSUNz5mXo+QclfnuCQ0RCWE012I012K21GO0\n1GN2tCClpKFk5VtKvYwcq05PWiZySvpHTnYVvXWHzFAPItiDCPSSS08nZk9nr5deB0JTkdMykFIz\nrUJ+qRnIqZnIqelW7SR/GpLnI5Rg11TMrrbe/bZ6jMYqjMYq5NRMHOUTcYyZaoUzj6JooFDDaOv+\nD7O7DdfpS5EHhYoP94uGUTe8jpxfjnPMLFu7EewivGcN3vHzYuoahTvCPDz3QToOdDHt+qksfeyK\n/nMKQV19PSl+PxmDKhU3dYTp6I4yriw9JuFcNyzxwogchaJBVZENU/D+XsGZk4aHiGz+ZQnwLY6O\niHp/bxdCZPUmpPqFEB2SVf77BWCyEKIniTHOAp4G7LNayy7tCiHE9iTfRv95TxJRfEiSJNoDJi4H\neJ3YluXJwBSCA406zV0m00Y4bW4JfegJaVQ29DC6KBW/1z5DbG1tRdU0CgsKYm4ozTuaeXjew+hh\nncX3Lmb+3fNjjotW78IMduEZP98WXjHa6tG2vYtr7hLkOMXJzO421HeexDFpAY5xsxO+R6FrRN9/\nDW3PRjyLLscxbuYJLz8eDgjTwOxstSTnHS3W8+72w6sRDM3K9fFYKxDJ5el1M1Cs/0Wvm4HoczPQ\nNVCtRNa+BFZkB5IvtVeino6ckj6AaCyHccmX8on/vYVpYDTWoFfuQq/YhohGcE6cjXPKApTMJE1w\nhbBcOHa8h2vBxShFo+P3i4ZR17+KUjwex0h7JElvbyR6aDveKacjDwgrN+9s5uG5D6GHDS5/9HKm\n3zD9cJumadTW1VFYUIDH03+MEFbOntupUJIXu18UjJhsPKgyo9xF2iDxghACWR6e0Nx/J2g70Pvo\nw5skHZpbJIRolCSpEMuBJtZu3+r3LvC1PpFXEuN0YAkjTgGysVZBHwIvCiH0ZM5hO+dJIoqPY5Vv\n9yGiCnbUqDgUicklzoRVXINhjQP1PTab+j50dXfT1dVFcVFRTFw70hXhodkP0nGgk6mfm8LSv10R\nc0PSWutQa/fgm3y6LYRkBjpQ17+Ga/rZyHH2jMzuNqJvP4Fz2pk4Rk9L+B6NtkbCrzyKnJWH59yr\nkOOsqpKBEAKjrRm9oRq9pQGjvQWzuwMz2IMZCVs3aiGQJBnJ6bRu7L4UlJQ05PQslMwclOw8HLmF\nyGmZJwQRCk09bLEjouHD/m5C162kVXoTdGXF8ndzOK28KXdfEqvvhAj9JQOjpR5t13q0XeuR80tw\nzzkHpXRMUv8Ho6UW9b3ncU5cgGPC3Lh9RCSIuu4VlFEzcZSMs7WrdfvQO5vxTjw1ZsK16Y+bePm2\nl3H6HNyx+Ytkj+sPE/ftF5WWlCAPOEY3TPZUWftF6YP2i5q7LAuuuWPcNkHScIkVfp1k338nKSL6\nJZbdzi8ky+Iso1eskAN0CCEMyXLMXgVMEb0u2scDJ4koAT4KETV1Geyt1yjLdjAiN/5+EEAoqlNR\n282I/BTbhx4gHA7T1NxMUVERLmc/SQlT8PfLnmD/KxXkTc3l1jWxcXAj1E1494d4JyywmZgKNYK6\n5iUcY2aiFMW6LUAvSb31BI6ppw9JQtreTUTeeQ73wotxTllw1Dd/vbWR6J6tqPt3oB7aj+R04Swa\ngZJXiCMrz8oB8qcheby9exnWPobQNUQkghkKYAa6MDvbMTpb0VubMFoaELqOo6AEZ9EIHCXlOEtH\n4cgr/lSLDT4tELqGtnsj6vq3kfypuE+7CEdJ/JXOQJjBLtR3n0IpGo1j5tlxP0tmsBN13Ws4p5yB\nMiiBWAhBZP96ZJcVgh74+nPXPsPOp3eTPz2PW9fehmNA2Lu5pQWEIC8v1o6qb79owogMXIMEQxWN\nGt0hwcyRsdVvh4uI7kuy793YVHN/B84EcoAm4IfAi1hhtDJi5dtXYCnANcDEEhy8+lHG/lFxkogS\n4FiISNUFe+s1esKCyaVOW/7BQAxVXRX6FXJ5ubn4fLEqtVX/uZJ3f7ACd7qL2zfeQdbo/hi70DVC\nO1fjKh6HM2fQF9Y0rZh7Rh7OcfbZpwgHiL75VxwT5iUMxwlhEn3vVbS9m/FdejNKXmJXgcEwujsI\nb3yPyKYPMIPduCfMwDVuKq6R41HShyjedBQwgz1oDTXodYfQ6g6h1RzADHTjLB2Ns3wsrlETcJWN\nOapCfidxdBCmibZnA9EPXkfJLcGz6PIjilZENIy68hmktCyc85bEnTiYHU2oW97CNedC276S0DVC\nO1bhKp2AM7tfoRnpivDgjD/QeaiL+V+ax+LfXth/PtOktraWrKysuE7dgZDGmJJYc1chBFsOaaR6\nJMYMcF4YLiL6fZJ97+TjT2iVJOlGkrdZi4EQ4rGjutZJIoqPoyEiIQT1HQYHmnQKMxRG5Tvi5gf1\n4XBhuxwf2Wn2G6JpmtTV15OWmmpTyB146wB/O/9vAHz25c8y7qL+UIUQgmjFRnC48Iy0r2a03R8i\nwj04Z55nm3UKLUr0zb+hlE3AOeW0+O9T1wgvfxwR7MZ76c1Jh+K02kqCK18juncrnqlz8c4+HWf5\nuE9slWIGe1CrKtAq96Ie3IPeWIOjuBzX6Em4x0zCOWJMQvXWSRw7hK6hblyBunEFrnnn4Jq1aMj/\nudBV1JXPIXn9OBdcHLev0XAAff8GXAsuteW79YkXfJMXxriG1K2v48+n/glTF9y44saYWlyRSITG\npiZbcrgQgn213WT4XbaSK6ouWF8RZWyhk7x0K1w+XET0hyT7fpFPhIjMI/eKCyF6jVCTvtZJIoqP\nZIhICEFrj8nBJh1FhvFFiQUJfegjocJsLznpcXJ2hKCpqQlZUcjNyYmVmDYF+MP0Bwg2hTjjB6dz\n1k/OjjlWazqE1lyFd/JCmz2OUX8AvWIjrlMus5lSCtNAXfEMUkoGzrkXxPfFi0YIvfhHJF8K3sWf\nT+rGrdUdIrD8GbSGavynX4h33pnI3k+uIF4imNEI2qF9qAd2oVbsQm+ux1k6GteYSbhGT8RZOupj\nNRP9V4PZ2Ur4zadAV/Euvg55CEGD0DXUlc8i+VIsMorzWdT2bcDsbLIcQAaRldp4EL21Du+k02La\n3v3Ru6z6ySrSR6Rx5467cA0Ihbe1t6Oqqk3SHdUM9lZ3MaY47bAfXR+6QyZbDqnMHu3C75aHjYge\nTrLvbXwiRHTTMR4qhBCPHtW1ThJRfAxFRIYpaO4yqW61BCKj8h3kpMpH3Cc5EgkBtHd0EA6FKCoq\nig0JmIK/LX6Mg28eouz0Um589ybkAa4LfftCvsmn2eoKmYFO1HWv4pqzOK7Nirp+OSLYjeuMK+PO\nQkUkRPAff0DJK8Fzdvw+sdfrpue1p4ju2YL/nMvwzU+cL3IiwAyHUCv3oFZYxGR0tOAsH4dr1ERc\noyfgLC7/VBOTqUYwu7usPbVQABEKWuo8VbWMWMESTjgsIYjs9SOnpCFnZKGkZx9TCYnBEMJE3bwa\nde2beM65Euc4e6Lq4b66hvruU0iZeThnx1m9CxNt05tIKZk4x88b1CaI7FuH7EvHXdovEDNUg4fn\nPkjTthbmfHEWFz1wScwxtXV1pKen2yyA2rujNLaHmVCWblPO1rXr1LRaZSOcjuFRzf05yb4388l7\nzX2cOElECTCYiFRd0BE0aesxaek2SPPKlGYrZCdBQGDtCVXU9QxJQoFgkNbWVluYAPprC3mzPHxx\n67+RVtJvSCpMg/COVTgLx9gqWgpDR13zEkrZJBylNuUm+v5N6Hs34L7gxrj2/SIaJvjsAziKynEv\nWjrkexVCENm4mp5Xn8Qz81RSzr8C+VNol2MGe1AP7EY9uBv14F6M9macJSNxjhiLs2w0ztJRKGnD\ns6c1HDAjYYy2Zoz25t6fLRgdLRidbRid7QhdQ0nNQE5NQ/al9Ca2epFcrl5nc8AUlhAk2icE6cbo\nascMdKNk5eIsLMNZOgrnyHE4i0ceMzkZjdWEXnkE57gZuBfGD7+BJaqJvvU4yoiJOCefGr/9wxdw\nTjzF5ktnqhHCO1bhGTsXJbX//9S4tZGH5z6MqZlc9+Z1jD63X0jRV0yvtKTEFqI71BjAociU5tlN\ngnfX6ZimYOoI97AQ0SNJ9r2Jk0T0LwFJksSO6iiqDqGoiW5Auk8mO1UmN13BE6fMdyKEIjoVdd0U\n5/rj7gkBRFWV+vp6CgsL8bhj+9Stq+PPp1kx7mtfupbxl4yPPfbQdoSu4R5tz+HRdr1v1Qqatsie\n0NpSi7r6OdznXR83qVBoUULPWSsh91lXDElCZrCHrqcfxuhoJf2a23EWlw/1J/lUwQwH0aoqUKv2\no1UfQKutRHI4cRaX4ygsxVFQgiOvGCU3PyaXZbggTBOzpxOjo/Uw0ehtTRitTRhtTYhoFCUrFyU7\nz3pk5VqS9swclPSPlmskNBW9pRG9vgqt5iBq5V6Mzlbc46bhmTYP98QZRy0zN8MBwi8/guT24F1y\nQ8LjRaiH6BuP4ZhxFo7ySfbzdDahbn4L94LLbAnZens90Zo9+KaeGROmXvnTlaz44QrSSlK5a/ey\nmBBde3s70TghOt0w2V3VxYiCFNIGpVgYpmDjAZX54zzDQkR/TbLv9RwX9+3ZWPlDDwkhGuO0FwC3\nAy8JIbYc1blPElF8SJIk6tt1K6HVJeF1Scf0ZQ6ENA429CRUx4FV6ru2ro6szExSB4UGIl0R/jD9\nAbqqum2qH+h11K7cim/qIlv4y2iuRt/zIa5Tltq+7CISJLr8LzjnLkYpjvXrAsvqJty7J+S54HND\nvnf10H46H78fz7T5pF549cdaB+hEgBACo6MFva4KraEavbEWo7kBva0J2eNDycqx8ptSM5BT0pC8\nfmRPf1JrTEKrriN0FaFGEeEQZjiIGbRWJGZPJ0Z3B2Z3J7LXj5KVg5KZi5Kdi5JdgCM7DyUn/xPP\nnTK6O4nu2kRk2zq02ko8MxbgO/U8nAXJKyiFoRN540nMzlZ8S29P6F9odjQTfefvuBddhZxtN9rV\nD27BbK237KcGuTtE9m+0XEXK+knM1E0emvMgTVubOeVrCzj/Vxf0j0kIamprycrMtKnouoMq1U1B\nJo5IRxlkRKwbYthCc08m2fdajgsRPQEsBMqFEDYhg2T9AyqBVUKI64/q3CeJKD4+akIrWPVOapqD\nlBekkOZPMOvrte9xuVzkZGfb2p699hl2Pb2bghl53LImNg9C6CqhbStxj56BIz12A1hEw0Q/eB7X\njLNtpZiFEKjvPomcXYRz+plxxxR540lEqAfvpbcMGYYJrX2XwOvPkHb1rXgm2W1YjgVGoAetpQmj\nqxMjFEBEo1YSqKwgu93WTTktHUdmFkp65gmTIyRME7O7A6OjDaO7HbOnCzPQjQgFMaNhhKqCrlrV\nZ/sqzjocSE6XVQDQ7bVCZ33JuqnpFqGlZ56we2xGZxuhdSsIr3kHR3E5KectxVVmn9jEgxAm0VUv\noVftw3flnci++CpMo2Yf2sY3cF/wBSTv4PCYibr+NZTcMhyDlKKmFiW8fSWecfNQUvrtfOrW1/HH\n+X9EkiXu2HwH+VPzD7f1qehKS0piEsgBqpsCmALKC+zjHC6xwjNJ9r2K40JElcBqIcQNQ/R5BDhd\nCHHkBLKBx50kovj4KEQkhKClM0JTe5jRcRQ3A9Ha1oaqqjb7HoBtj2/j+euetzLDt3yR7LGxRBWp\n2ITkcOEun2K7vrblHSRfqm0zF0DbtQazbj+ucz4f9yYeXf822p5N+K/5UsJ8GyEEgeVPE9m2jswv\nfA1H3pHLQsSDGQ4R2r2d8J4dRA7sI1pdCYaOIycPR0YWsj8F2e22KpkaBmY0ihkOYnR1oXe0YobD\nOPMKcBWX4Sodgad8DJ5R43BkfbrMVj/tELpGeP0qAm+/iLN0NKkXXYsjJ//IxwlB9IPX0A/swHfV\nsoSqSm3rSszWOlxnXWv7zJqhHtQ1L+Kad7FVTn3gcS01aI0H8U45PWbF9Opdr7Dh9xspOaWIm9+7\nFWmAEKGltRUhBHm5sZM7wxTsruqkNNfuujBcRPRckn0/w3EhojDwayHE94bocw/wVSHEUVWgPElE\nCXCsRGSagprmIMGIzuji1Bgn38Ho7umhs6OD4kG29GAVufv9lN8R7VK5+KGLmX1bbIKp3tFItGqn\nFQMfpOgyGg5Ypb5Pvdwm4zbbGoiueBr34pviVlbVDu4k8ubT+D/3FeTU+BvywjDofu5P6E11ZN78\ndWT/0Tkxm5EwPWtX0/PBSsL7duEZNQ7fxKl4xk7AXTYSJSMr6VCTGYmgNdUTratGra4kcugAkQP7\nkF0uvOMn4504Fd+UGTgLik8I659/dghNJbh6OcGVr+E77TxSzr7siKFaIQTR1S+j1+zHf+Vdljv4\n4D6maa3ic0twTjvD1q5X78ao349r/sUxhCOEILLnQ5SMfFyF/ZP0SFeE+8ffR7ApxCUPX8KsW/tX\n84ZpUlNTQ35+Pl5P7Fh6QhqHGgNMHJEeUytsuIjohST7Xs5xIaJ24FkhxO1D9HkYuEoIkZGoT9zj\nThJRfByTs4JmUNkQwOmQGVGQMnRSa2+Bu+KiIlyuQfs3puCv5z9K5dtVjF0yms++8vlYKbeuIDPS\njgAAIABJREFUEdq2As+YmSiDyioLNUz0/edxzToPeXC4TteILv8Ljimn4SifbBuT2dlK8O+/wXvZ\nLTiK4teLEYZB15N/wAz2kHHTV45qc15raaTjtefpXv023vGTSVt4Nv4Zc5G9w6usE0KgNdYT3reT\n8M5thHZuAVnGP202vhlz8E2egeI7/vlM/8wwOtvofv4RjI420j/3bzgLSofsL4Qg8vYzmF1t+C6/\nPW44WIQDRF7/M66FS1HySm3Hq+tfQ8kfgWNEbITADAcI7XoP39RFMZ/XPud6T6abLx34Mt7M/kl8\nIBCgo7OTkmL7BKamOYhhipgQ3XAR0ctJ9r2E40JEbwNTgDHxnLolSUrDKi2xWwix6KjOfZKI4uNo\niahvPygv00t+pmfokgm6Tm1dHbk5Ofj99hviuvvX8vrdy/Fmebhz512kDIpJRw5uBUmK656gbluB\n5PbiHD/f1qZtfgcR7MK1cKmtTegawSd/i2vyPFwz7TNOsGalXU/+ATPQTeYX/j1ptZTW1kLbs38l\nsGEN6WcvJuP8S3BmJ+fSPBwQQqDW1xDauoHglg2E9+/GO2Y8/pnz8c+ejyv/2MKKJzE0hBCE16+k\n57WnSL3wanzzzxq6v2kSfulPSN4UPOdfG/c7ZNTtR9vwJu4Lb7YVcTSDnahrX8F9yuU2FV20ehdC\ni+IZPTNmfI8u+gtVq2pY8JV5XPC/F8a0NTQ24vP5yBjkbhIvRDdcRJSs4dtFHBciugb4O7AOuEMI\nsXVA2wzgQWAucJ0Q4omjOvdJIoqPZIlIN0xqe0Nx5QUpccs4DESffU9KSgqZGfbVa+veVh6c+Qf0\nsMFVz1zFpCtjZatGdxuRik34psVRybXWou/6ANdpV9jCdWZrHdFVz+FZcmtchVL4necs656Lb4rv\nrCAEPS88htZYQ9Yt30jKq83UVDpefpaO158n49yLyLzoMygpx1ZQbThhRsKEtm8msHktwY1rUdIz\nSJlzCilzTsU9MjnX6JNIHnpzPZ2P/RbnyPGkXX7DkMnBQo0SfOpenJPm4p69KG4fdd3rIASu+Uts\nbVrFJkSgA9eMc2LPa+iEtr6LZ+ycmNyihs0NPDT7IWSHzJ0774zZh+0rLz44twj6Q3STelV0w0VE\ny5Psu5jjk0fUK0a4AcuDrgmoA4qBPkXUX4UQNx7teU8MudGnEH2ChF2HOlEUmQkjMo5IQkIImlta\ncLlctlkWWNLS5697Dj1sMPXzU2wkJEyDSOU23OVTbCQkDB1994c4Jp5i+6ILw0Bd+zrOWefEJSHt\n4C70AzvwnndNwptw8N2XUSv3knnTvydFQpED+6j+zjIiB/Yy4p77ybnmphOChABkj5eUuadScPtX\nGfXA4+TfcjdC02i4/+dULruepj/dR2DzOkw1eryH+rFDmCbCMPg4J6SOvCKylv0Is7ONjj/9CjMS\nSthXcrnxXXYL6vq30av3x+3jnHk2ZkMlRkOl/VojpyG62zDa6mLPqzhwlU4gWr0z5r0Wzixk+g3T\nMDWTN7/xfzHHuFwuUlNTaW9vt10n1eckze+krjXxezkWOJN8HEd8AcvqbhcW+czu/bkDuP1YSAhO\nrogSItGKyDSFZfvREcbtVCjO9eFzJ5c3097eTjgcprCwMKYGSh/6ku1Si1O4c8ddeDJiQw9q3T6M\nQCeecXNthKFXbMbsacM181zbebWdH2A21+BadLXtODMcJPjYL/AuuQFHaXzZbWTbOrpffpzsZT9C\nSY9fTbMPQgg6XnmWjleeI/eGO0g91Z5IeyJDrashsHENwc1riVYdxDtpGv6Z8/BPn4MzJ+/IJzhB\nYAR6UBvr0Zrq0Vqa0Fub0Dva0TvbMXq6MUNBq9aTYYAkgzCRnC5kr8+Sxmfl4MwvxF1Shrt8DO7y\n0cgf0bFcGAbdLzyKVltJ1q3fHFLkolftJbz8cfzXfR3Zn2ZrN+oPoK1/A/dFt9ojA02H0PdvxHXq\n0hiFnRDCciApGotzQE5ST30P9429Fy2k20xRTdOkuqaGgvz8mCJ6AIZhsquq63B6xnCsiFYk2XcR\nx99ZQZIkP5ABdAohgh/pXCeJKD4GEpFumATCOl1Blc4eFb/XQUGml5Q4hewSoaenh/ZehZwjzkZs\n845mHpz1IKZmcv1b18eU/AYwoyFCO1bhm3IGsjt2VSPCPUQ/fBH3KZcheWO/3Gawi+jyv+C+4Ma4\nlVhDrz6G7E/Fs8i+bwSg1VfT/tB/kXXrN3GWxBcwHL5WJEzjA79Cb2ul8Cvf+1TduOPBCPQQ3LKe\n4Jb1hLZtQklNwzdlJt7J0/BOmIIj7aiEQcMOIQRGVwdqbRXR2mrU2irUuhrU+mpMVcVVWIwzrxBn\nXgHOnDwcWTkoGVkoqWko/hRkjwcUR19YCaFGMUNBjO4utLYWtKYG1NoqIpUVqPXVeEaOwz9jDilz\nT8VVNLT4YKgxB159kui+7WTd8Z0hySjy/msYjVX4rrjDlqwKoL7/ApI/A+eMRbZraBteR84fiaNs\nYkyb3tVCtHK7FdoeQFIrf7KCFT9aScGMPG7f9MWYyVN3dzc9PT02/0eAzoBKXUuQKaOyhoWIViXZ\n9wyOPxENJ04SUQJIkiT2VHWi6iaGYeL3OEjzu8hMdeEaQpIdD+FwmMamprgKOQDTMPnTgoep39DI\nrFtncMnDl9nPsW8dij8DV3GcCpVb3kFOycAxxp5QGl39D6v+0NSFtjbtwA6iK1/Af/034woPzHCI\ntt9+n5TzP4N3VvzSEH3QO9qo+8UPcY8cTd7Ny5A/JdVFk4UwTaKHDhDasYXQrq1E9u9GSc/AO3Yi\nntHjcY8ai7uk3Lq5fwzX1jvaDpOM2ks60bpqQMJdMgJXSRmukhG4i0txFZWhZCYvgU8GZiRMaPd2\ngpvXEVj/AY7MbNLPuZC0hWcjx5FbD/l++sjowC6LjBK4KgjTIPTUfTjGz8A9a5G9PRwg8tofLYuq\nQWa+Zncr6sY3cJ9+JZIj9rMY3v0hjqxCnPnlh1/TQhr3jv4NgcYQVz17FZM+0x8W7zNFzcjIIDXF\nnsxa2dDDqKK0YSGi95PsexoniehfApIkiZ6QitMh43IkZ2waD6qqUt/QQF5eHj5v/ByvD/7nA978\n+pukFvm5c9cyPINMUfXOZqKH+mZxg/KCOppQt72Le+GV9nyipiq0Na/ivug2+56SGiXw6M/xXvBZ\nHGV2chNC0PX4/Ui+FNKv+MKQ71FrbqT2Z98h7czzyFr62U9VKO5YIUwDtaaKcMUeIgf2Ej1YgVpf\ngyMzG2dhMc78QmsVkpmNkpZhrUB8PstBQVGA/oqzZjSCGQ5hBHowurswOtvR2lvR21rQmhvRmhuR\nfT5chSVW4m5xWS/5jEBJz/jE/97CNAht30znGy8TqdhLxuLLyFx82VHJ8IUQdP/jLxitTWTe8o2E\nuUZmZyvBJ/4X37VfQsmyJ8hqu9diNlXhXnS1rU3dtgLJl4Zz0ATNCHQS2bce34yzY75P6+5fx+t3\nv07upGz+bftdMUmu4XCY5pYWykpL47iBC2R5eCx+1iTZdwGfSBmISixRwjlCiMoBvx8RQohRR+41\n4FoniSg+hsPiR9d16urryczMtNnL96G9op0Hpv4ePWLw2VdiC92BNRsObV+Ju2wijnhWPWtfxlE2\n0Vb2W5im5SU35VSUQeEJgMjKFy0Lnwuvizuu0LqVhFYvJ/tL/zGkTFttrKf2P79F1qVXk3H+JQn7\n/StAGAZaUz1qQx1acyN6azN6RxtGTxdGoAczYtn8CF0HBEgyktOJ7PYge33IKak4UtNRMjJxZGXj\nzM6zwmp5BcOeazVcUOtqaHv+CUI7tpB95XWkn22vEZQIwjTpfPQ3yP4U0q66LSGhqptXWRWBr7nb\nFqIThkH0tYdxzj4fpWhQODvUjbrmJdwLP2Mrohfetw4lNQdXYf8xelTnvjG/pbs2wBVPXMHUz06N\nOaahsRGvx0NGHLXrcKnm1iXZdx52IpIk6cvArVh+6g8LIX4rSVIW8BQwggHlwpMczyEs4jm7l4gO\nJTk8IYQYOo4/+FoniSg+PioRGYZBfUMDKX4/mZkJHApMwSNn/YXqVTVM+exkPvPElbY+amMlRkcj\nngkL7O7ZjZXolVtxLbjMLl44uA2jYguu8663H9feROipe/Hf8O24MXq9vYW2e39I1he/O2Qiotbe\nSs2Pv0bWZdeQcY5dSns0EKZJ+OABAjt2ENy/n0h1NWpzE3pnJ0Y4jDBNJEVB8XpxpKfjzMnBU1iE\nZ8QIfKNH458wAedJW5/jhkhlBc2PWIWuC+74atJ7SKYaof3+n+Cddyb+hRfE7SOESejJe3FOnodr\nmr0khFGzF237e1ZuURz3eRSnzerKCHYR2bsW34xzYlZFGx/eyCu3v0LWmAzu2n03sqOf+Prk3GWl\npTYnlOEios1J9p1JLBFJkjQFK8dnLqABy7HUbXcArUKIX0qS9C0gUwjx7Y8yzo8D/9w2yccJpmnS\nOMTsqQ8bH9pA9aoafDleLrzXfiMXuopWtw/PxFPs4QDTRN+/wZJrD24zdPRtq3GeZicogOjKF3HN\nPTcuCQkh6H7mYfxnLhmShIxAD3X/9T0yzr34mElIGAZd69fT/tabdHzwPorfT+q06fjHjSPz9DNw\n5efhzMxC8XqRFAWh6xjhMHpXJ2pzC9H6OsJVVTSsW0dw714cKX5Sp88gbfZs0ucvwJX7ySXN/qvD\nM3IMpT/6FZ1vvkLNj79O9jU3WqujI4QNZZeHjJu+Qvt9P8ZZXI5r5HhbH0mS8Zx7NaFnf49jzDSb\nOapcMg52rcE4tBPHyFhXBcfI6UQ/fAHHyKkxqyLFn47sz0BrrsZV0D95n3HTDN67ZxXtFZ1s+9s2\nZtzUX8DP5XLh9/vp7OoiO2to9eix4iOUIJwArBVCRAAkSVqJZUl3KdDnbPwosAI4SUT/7DBNk8am\nJpxOJ9nZ2Qm/iF01Xbz5jTcBuPD+Jfhy7KEXtb4CJbMAxRdPvrofyeNHybFb7xv7NyFl5qHk2tv0\nqr2YHc14L7057rjCG1ZhRsL4z0hMLsIwaPjtPfimzCDr0qsS9ksEIxym+YUXaHrmKRzp6WRfsJii\nm2/BUzS0w4HkcCB7PDgzM/GWx678hRBEqg7RvXkznR9+SNW99+IpKSbzjEVknXUW3hEjEpz1JIYL\nkiyTecGl+KfMpP63PyOyfw95txxZuOLIyiPt6tvofOL35Hz1Z3FduJXcIpwTZhF9/1W8510Te11J\nwjljEdra11BGTIxZ4UjeFJT8kehVO3GOnRNznKt4LJH9G3DmjTgcTlScCmf+6Cxe/MKLrL5nFdNv\nmB6zV5SVmUlNbS3paWm2JNfhwEcgoh3Az3pDcRFgCbAByBdCNPX2aQKO7ESbAJIkvQv8RQjx2BB9\nrgNuFkKcfTTnPpnQOozoIyFZlsnNzU1IQkIIXrnjZdSAxvhLxzL56ji+b9EQWks1rhL7DFGYBvqB\nLTjGzLa36SrarjVxjSGFMImsftmqjBknu90M9hB47SnSP3PzkKUfWp74I8gyudcn9D6MC1PXaXzm\nGbZeeQU927cy5qc/Y8pfHqXw2s8ekYSOBEmS8JaPJH/pFYz92T3Meu11Su9chtbWyu5ld7L9huup\n/9tfiTY3HflkJ/GR4Coupewn/4sZClB3z/cwAjZbMhs8E2fimTKb7n/8JWFyrfuUxegHtmO01Nva\nlPwRSP50jMqd9raRUzFq9iB0Nfb1lExkjx99UPLr1M9PJa0klfb9Hex5cU9Mm8PhIDUlhc7OpLZZ\njhpygscG4PcDHoMhhNgD/AJ4A3gd2AIYg/oIkhQbJMCZQPkR+pRjpTkdFU54IpIkabEkSXskSdrf\nG+OM1+fe3vatkiTNPNKxkiRdJUnSTkmSDEmShqWITh8JKbJMfl7ekCGJnU/vpOL1A7jTXFz0wCVx\n+6q1e3Hmlcc1FTXq9iH705Ez7ZMbff9m5NyS+G37LI86x9jpccfV8/rTeGYsGDJfqGfNKoIb1lB4\n97dtCr6hENi9mx033UjH6lWM/81vGXfPz0mZbCfg4YLscJA+Zw7lX/s6M194ibIvf5lITQ3br7uO\nPV/5Em1vv42paR/b9f/VIXu8FH7l+7hHjqHmJ99A7zryjTt1ybXojbVEtsbXjkkeH6555xFdHd8a\n1DFlIfrO9616TwPH4ktDzi7GqNljO8ZZOAat4UAM+SlOhVO+Zu1FvffzVTZizMjMpCcQQNf1I76n\no4WS4HEK8OUBj3gQQvxZCDFHCHEm0AHsA5p6K6ciSVIh0Dzsg46FFzjqP8wJTUSSJCnA/VjWSpOA\nz0qSNHFQnyVYbrBjscrUPpDEsduBpUCy+WNDwjAMGhoacCgKeUcgoUhXhOVffh2Ac39xHqlF9n0a\nM9SD0dkcY1vfB2Ga6Ae34Rgz095m6Oh71uGcYs/5EaZJ9MPleE5dEnd8Wn010Z0bSTnvMwnHrrU0\n0vyX31H4pe8kbdcjDIO6R/7C3q99laLrb2DCb+/FP9YuF/84ISkK6bPnMOo732XWSy+Tc+ESmv7x\nLJsvu4Tq++8jUlP9iY7nXwVS76o5Ze6p1P7s2xjdXUP3d7pIu/o2el76G2Yw/irKNf00jPYm9NoD\ntjY5rxTJ449LOI7yqejVu2wkpaTnAgKjuzXm9Vm3zcKT6aZ+XSPVq2M/Hw5FIS01lY6PYVWUiIgG\nP+JBkqS83p9lwBXAE8BLQJ/tzo1AspUmjgqShXLgQqDmaI8/oYkIS6VYIYQ4JITQgCeBwdmel2Jt\nwiGEWAtk9M4AEh4rhNgjhNg3HAPUNI26+nrcHs+Q4bg+vPPdtwg2hSieX8Ts2+2hNYBo7R6chaPj\nVuU0GiqsGV6GfcVjHNyGnJmfYDW0GcntRSmfEPeaPa88gf/cpcgJyiMI06Tx978i8+Ir8YxOjkj0\nQIC9X/8aXWvXMOWRR8m54ILjnmMkezzkXLCYSb97gEl/eAiEYOcdt7N72V20r3i3V1p9EsMFSZLI\nvvJ6/DPnUfvz71u2QkPAVTYGz/T59Lwav2i2pDhwn7KY6Puvxb2WY/Ip6LvW2FYxcnoOkjcVs6nS\ndoyzYBRaY+zrLr+Lecsspd3q/7LPVzMyMgh8DKuiRKG5wY8EeFaSpJ1Y5HOnEKIL+DlwniRJ+4Cz\ne39PGpIkmb2Ro74w34/7fh/4wFoFHQRmYN1rjwonOhEVE8uutb2vJdOnKIljPxJCoRB19fVkpKeT\nM4QwoQ916+tY/8BGJEXikocujdkE7YMR7MIMdMRkffdBCIFRuR1llD20JkwTffdaHJNOiXtcdN1b\nuOafH19FV7ETo6MF34LENv2db7yMECaZFyVeMQ2E2tzMrjtux11UxMT7foc775j3SD82eMvKKLv7\nS8x84SVyL72Uhr8/weYrLqf2T39Ebf64Ixj/OpAkiZxrv4C7fBQN9/0cYRpD9k+54Eqie7eiVttX\nPQDOibMxA13oNRW2NrloDBgaZrN9Uu4om4Revdv+ek4JRqAdMxJrlzb/SwtweBUOLD9I2762mDbl\nY1oVfRTTUyHEGUKIyUKIGUKId3tfaxdCnCuEGCeEOD/ZHKIBWAWs7n0AVA34feBjBfAslmT8B0d5\njRNeNZfsxtrHMs3+8Y9/fPj5okWLWLRoEWDtB7W3txMIBsnPy8ObwDFhIEzd5OXbXgQBC76ygPxp\n8W/Mat1enIVj4osJWqpBUZCzCu1tdfvB7UOOp5Sr3G3tDY20J7YKIQi8/gwp538moT2/1tpM23OP\nU/Yf/5NUsmKkro49d99F3tIrKLzOnsd0okF2ucg5/wJyzr+A4P59ND//PNuu+zypM6aTf/lS0ucv\nGFK8caJD6DqR+noiNdVEGxpQm5vRu7owAgHMaBRhGkgOB4rHiyMjA1deHp7SMnxjx+IuLByW/58k\nSeTffDe1//U9Wp98hNzP3ZKwr+zxkbL4Knpe/CtZy35ku74kK7jnnUt03Zs2o15JknCMn4u+dz1K\nflnsefNGIPaswexui7EEkmQFZ04pWnMV7rJ+ax9fjo8p10xhyyNbWf+7tSz+bb+SdMWKFbzzzjt0\ndXeTnmZXtR4rTrRP2cACd5IkmcAjQoj/GO7rnOhEVAcMTGYpxVrZDNWnpLePM4ljh8RAIgLrph0K\nhWhta8PjdlNaUmJLbEuEtfetpWlrC2mlqSz6j0Vx+xihbsxAJ544ajgA/dAOHOVT494Y9D3rcUyY\nF1/4sPFd3HPOjt+2bzsiGsYzfUHCsbf89UEyL7g0qSRFtbmZPXffRcHnPk/BlclIu2MVS2zZdfhp\ntKX/5cE7BjkDI4inDiZ1e8HAZOEfO46R3/wWZcvupu2tt6h9+CEq//u/yb34YnKXXIS70D4JOJFg\nahqhffsI7NpFcO9uQvv2E66qwpWTjae0FHdRMa68PNyFhThSU5HdbpBlhG5gRsJoHR2ozc30bN5M\ncN8+MA3S5swl8/TTyThtIUoSk65EkBwOir7yPaq+uwzvuEmkzLGv3vvgnX06offeILp9PZ5p82zt\nzklziH7wOkZzLUpe7ORLGTkFbetKzGAXsr+/3IokyzhKxmPU7kWeFJsY68wfQXjn+7hKJsRMtubd\nPZ8tj2xlyyNbOfuec3H5LSl638S0pbUVWZb56U9/ekx/k8E40YhoEL4AbPs4TnyiE9EGYGzvJlg9\ncA3w2UF9XgKWAU9KkrQAy5K8SZKktiSOhSRWU6ZpEggG6e7uxjRNcnNy8PmSt1zpru3m3R+8C8CS\n3110+MM8GFrdPmtvKI4azexuRYR7kPPtijazowkz0Imr1L53Y7TUYXY04xhnFzcABN5+Af/ZlyZc\n6YR2bCZ66AAFd30z4fvrg97dzZ6vfpm8pVckSUJgJYAPwE9uPfy04/n+l7cMOmrxwLzF7YOv9XSS\n104Mxecj79JLybv0UoJ799D80kvs+MKNeEeNJuf888lcdBbOIZKVPylonZ30bN1KYNtWerZvJ7R/\nH56SEvyTJpMyeQr5S6/AO2r0MRNIpL6errVraHnlFSp/8XOyzj6HgquvwTfaLqRJBkpqGoV3f5v6\n//kJ7lFjcWblxO0nyTKpF15N98uP454yx/b5lBQHrpmno25aiXfx52PbHC6U8skYFVuQp58Z06YU\nj7MSXMfPi4kAyJ4UZG8qRkcjjgElIgpnFVI0t5D69Q1sf2I7s2+LnSRmpKdTWzdoMvURcILvlfwZ\nqwrrncN94hOaiIQQuiRJy4D/w5os/EkIsVuSpDt62x8UQrwmSdISSZIqgCAWayc8FkCSpKXAvUAO\n8KokSZuFEBcOvn5LSwuqqhJVVbxeL5kZGfh8vqMOVbx+96toQY3xl41j/CX2vCAAMxxA727DP2pG\n3HajeheO0olxCUPftwnH2JlxCUzdvBrX9NPihpbUQ/swuzoTroaEadLyt4fJ+dytR6xFIwyDih9+\nn7TZcyi87voh+37a4B8/gZHfmMCIL3+Fzg8+oO2tN6m+/z5Spkwla9EiMk5b+Im4OAghUJua6Nm6\nlZ5tW+nZshm1qYmUqdNInTaNktvvIGXSJJSjmCQdCZ6iIjxLryB/6RWobW20vPQie760jNRZsyj9\nt7uOKf/LO24SGedfQtNDv6H4Wz9N+H1yjZ+G/PaLRLauwTvTbu3jmnoKPX/+T9yhHmRfrIrTMWYm\n0XefwjH19JjvjORNQU7LwWw6hFIUG9Zz5JWhtVTHEBHAvGXzeeHGF1h//1pm3TorZrxOpzOhmfGx\n4ARfEbUBQ6tNjhEnveYSQJIk0dnZidPlwuN2xy1klwz2vryXJy99EqffybI9y0griR9PjhzciuTy\n4I6XwKpGia5+2rK0H2TeKLQokRd+j+fi25C8sRnpIhKi508/JeWm78a18+l47Le4Rk3Ev/D8uGPq\nfv9dOl9/gdKf/uaI5FvzwO8J7NrFhP/9TUIn5X787vCz1dKymJaBNWmzB0RcwoOCqgO3qQffCrNj\nVktvDfjlHIYLRihE5wcf0LFqJZ1r1uDKyyNt9ixSp80gZfJkXPn5H2lvRQiB1tZGqKKC4N49BHfv\nJrBzJ8LQSZ02ndTp00mdMRP/2LFJ/L2HF0Y4TOPfn6Dx6acouPazFF53PfJRjkHoOtXf/zKZS5aS\ndoa9mGMfonu30fPyE2T/+z1xJ2Hh//s7cmYO7nnn2doiyx/BOe10lKLY1ZvRcACjbj+uOYtjx2To\nBDe/hW/aopj8PT2i8+uS/yHcFuG29bdRNCf2E2eaJoqiDIvXXHeSfdP45MtASJL0FFAmhEgcUz1G\nnNArouON9DjlvI8GWkjjtWWvAnDWTxYlJCFTjaC3N+CfHl+1ZtTvQ84ttZEQgFG1Gzm/zEZCANru\njThGjI9LQkZHK+qB3aRfc0fcawrDoO3Zv5J/y5eOeEPtXLOG1uWvM+WRx4a4Ke7of5q9LEEf2Drg\nuW8A+QwOgg28FQwuKJ09QPzUJvXf5LLFNwb1/GXCcRwJis9H9rnnkn3uuQhdJ7h3D90bN9K6/HWq\nfv0rhGHgHT0a74hy3EVFuHJzcaRnoPj9yC4XSBLCMDAjEfSebvTOTtTmZqKNDURqaogcOgSyjG/0\naHzjxpN19tmULbsbd3HxcRd/KF4vxTffQs6FS6j85S/oWLWKsT+756j2zySHg/w7vkLdz3+Af9b8\nhHlprnFTweEgunsznsn2vVPX9NMIvfIIrrnn2Jy5HaOmYhzcbiMiOW8E2q4PENEQ0oAik5LiwJFV\ngN5WF5PD5/A4mPr5qay7dz1bHtlsI6JjnaTGwwkemvsBsEaSpP8E/qM3LWZYcJKIPka89/PVdFf3\nkDc1l/lfSiwG0JqrcGQXITnt4S8hBEbtPpyT7KEJsHKH4km2AdSda/GcHr80Q2jNO3hnnZqwqFnP\nmlU40jPxTo7vwtAHvbubg/f8J6N/8COcCVzG/9khORykTJ5CyuT+pZja2kroQAWRakuPKlW6AAAg\nAElEQVSpFtq3F62zCyMURKgqCAGKguLxoKSk4szIwJmbS+q06eQuuQhvefkJ7ybuLixk/K//l8Yn\nHmfnbbcw5j9/RtqM+HuR8eAZOZaUeQtpe/av5N0Uf9tBkiT8Zy4htHp5XCKS80uRXB6MmgpbXS2l\nbCLa1pUILRrz3ZIUB3JuKUZjJY4Rse4ejuxi1OrdtmTyGTfOZN2969nx5A4u+PViFNfHE0RLvubz\nccF3sGaU3wVuliRpK9BIHHWzECK+mWUCnCSijwkdBzt4/5cfAHDRAxfH2MkPhDAN9KZDeBMQjehq\nBiGQBtUiAjC72zEDHciD6rAAGC31iHAApXSsrU0YOuH1K8m647vxrykE7S8+Re7nbjni7Lvq3t+Q\ndcaZpM+dO2Q/fthf22VPe//Lg1c6U93WPboHFxs0NyYOhKTgRkJG4BAGbnS2CxWZKBIw+B1+a0Bu\n4i8GRDoPSP8d02+0GGiEetfQ4z9KuHJycOXkwPzEE5B/BkiSROHnr8M7Zgz7v/sdRn7z22T1pjkk\ng+yrrqPq63eQccGluArtqQcAnmnz6Hnl72j11TiLYiXZkiThnDIPbec6GxFJHiudwajdb3PlVgpH\nWQ4lg4hISctBaBHMcAB5QJShYGYBOROzad3dRsXyCsZfGn+v96PiBN8junHA84LeRyIcFRGd4CvB\nTy9e//JrGFGDqZ+fQtlpZQn76W31lm+cN35owqirQCkeG5cQjKqdKGWT4ooUtN0bcE6YHTeuHt2z\nFSU7H0d+/Pze0HarKopv+py47X3o3rKZ7vXrKb3zo9/EBRCSUthkFvKGOZpNZhGalIKQFCRh4BYa\nDmGgSQptUgphpYAe5f/ZO+8wOaor7f9uVcfJOWgURllCiCCBkQ3CElEkGxwx9uLwLfauA6zXXgec\ncFwbB8yujXNgvfZie22wyWAEGEwGBSSQUJYm59A9Havu90fNaG5X3eqJgsE77/PMM9V9b1VXh6pz\nzznvec8S4uZcWkQFQ4SnpOY4i6mh7LR1rLjhuxy4/uv0PjJ+5axASRnlF15G9+9/5TtHmAGip20g\n8cRm7Xhw+Voy+3cgM2nPmDl/JdZhr+SPUdmAjPUiU0O5ryUEgfJ6sj2tnudPfLdDJNp683i7Bk0c\nU5H4eRmwaAJ/E8KsR3QM8NKdL7Hnjr2EioKc+009EWAEmfYDhBr0qytpZbHaDxB+7aXeMSmxDr1A\naN3FmjGbzO7nKLhUr46deOYRoqes9z2nvntuo3yTvpfR6LlZHPrOt5n/kat9WFpfzXlkKWUWf1Se\n341gmShjuVHOgExjZwcYlB1YWDk+ynuOvrDz77e1kJWC3kyUJ/sLaTGc/IS0B1go+7GHhYfbdo8e\nw63ZvHiekqs64g5R+hdczkKPwuUrWP7tG9j9sY+ytLCIkjXj0xMu2/RGDlzzXlJHDhKe16idU/Ca\nDXTd8BmKL34HwsXgNAqLMesWkN2/k+Dy3NCgOXcJmWfu84bnDBOjai5WxyEC83ILvc2KetJHXiDU\nkOtrn/CuE3jg0w+w5449pAZShEvyM0knhfG6BvbYU6YbUsqDx+rYsx7RNCObynLP1Y4O1uuv20Bx\nvb84qBXvQ2bTmGU12nG7qwmjqEJLRJD9nWBZiEovfdZqPYwIhjGrvWP2UJz03p1ETjhN+5qZrg4S\ne16k+Iz87US67rkHIxql4mx/xtNYKBaFXGQ2UiEiPGg1sdluok8OYJFfAmYEASGpDg0h7U6kdRBp\ntSFEgDlmI5VGLYGZHnH/O0TRypUs+eKX2fu5z5Bq9bZr0MGIRCm/8DJ6bv+97xyzrJLgvEUkdz6r\nHQ8uO5nMnm2e50UoilE1B7v1gGfMrFmA3emVAjJLKrBTQ9ipXKZySUMJ817XgJW22XOXmyIzTZjh\nLtGxwqxHNM14/NuP0bu/n8rlFZx2tf5mP4JMxyGC1fN9PQ+r7QBGvb4lg3VkN8bcZXqVhT3bfFs9\nJHc+Q2jxcRhRfa1J/4P3UvK6jXnrhuxMhuaf/YRFn/fKrxzF5z+b8/BHyvZqBMKoBlFIt91GQCYY\nqZ66Sml82a3kktwZqJ8obYVGs09JsJOYdDEkyig253GfHKLF7iZFhi+435Ki3EDdP+aOtamFkLn1\nJrPIj9JTT6X+XVfy0qc/xaof/cRRbxhrn3Mu4sA17yHT3UmwUl+TFV1zOonn/qatKQosPp7kX29D\nZjMesWCzYQlWy17M+bmCv0ZVA5mdjyKtbE5xqxAGgdIarL52DJfm48o3reLI35p58Y87Of7y3LzT\ntGC8RuYV7mAy3N2gCtB+uVLKCUnaz3pE04j+I/389SuONuCF378IM+j/q5JWlmx3K4Fqff5IWlns\nriOYGvFTAKtpD+Y8Tc2RlGT3PU9wqV7mJrn9KSIn+RewDvz1fko2nu973gBdd99NeN68CTGkRmBg\nIMy5gIm0DpGW018fZ2BTJHuotg6SlGlWmPNpMKrIvrxlF/+nUXf55YTr6mn68Y/GngyYhUWUrD+b\n/r/c6TsnfPxaMgdf0raIMAqKMKvmkD3s9VSMhiVYLfs9itwiGEaUVGD3tHnPp7yWbJ9X+HbFZY4x\n23v3PrKpY6DUPkX57WMNIcQJQoi7gBhOtPvg8N+B4b+R7Qlh1iOaRtz3r/eQTWRZ+eYVLDo7f74u\n29vmdIjUNL4DsLubMYqrtLVDcmgAGe/HqPKSDey+TmQmg1GtGUsmyBzYTdk79eSC5EsvYESihBf4\nn7u0bVp//d80fkIn+aNcmN/PHTkfyGJyxJxLA3FW0IUwIOGOdSv55t+69lehOjPuxhWj8sI2b5Y9\npK1+DhvV3G410mx3MCDjnmOuda8w36TkB/74tDKQn8Ax8/Dr3Ifb3zW67S6rUr/2H6gLpEMTflUh\nBAs/+Sme/4d3Ur5xI8XHrx5zn9JzLqLpK5+k8s3v0tajGaEIoaXHk9z5HAWveb1nPLDwOLIHXiC4\n6Ljc/YrKEYEgsq8TUZ4bBjcrG7C7mzFdYsGBkipSB7YjbTuH8FO+sJya1VV0PN/Fgc0HWHqBl5U6\nJeTvqj6KobGnTDeG+7n9bfjh/cDFOKV/HcAaoBJ4EJhwg69ZQzRNOLD5AC/87y6CBQHO/86mMedn\nO48QqPFn09kdhzBq9eNWy37M+kV6uZ/9LxBYdJyvwGlwwVKMiD4sN/DYQxSfvjEvSaHvsccwC6KU\nrNEJs45SYX/fkztyNoLtZgM1MsZTdjdPDT/vlivdpFzXexRykjtjpYryu4OQ6m3IIahbYLexWERp\nMGqpksV02h2sDY9awdtc59uv6Ny9e5ESGNzfmTsRvVbay49nRjfvGT3f213CVepnda/rCFcpqcjn\nfzh6L1l9t+v3sGl8/MRgeTkLrvkXDn7j606x8xgCweGG+YTqGohteZLiU73NHQEiq08lueUxX0M0\n9Oefafcz6hY6oW6XITIqG8js/JtnvgiGMSJF2LEezJLc73jFZcfR8fxf2XXri9NviGZ2jOqzOKby\nVCnl9mE17lullF8SQhQBNwIXonCLxouZ/bZfJbAyFnd96A4Azrh2PaXz8ysy2JkUVryPgKa5HQwz\n4jqbMHzCdlZrntzRod0EFuhZeKld2wiv0OeOpG0Te+Zxil+jvwGMoOPWP1D7lrdOuLp/t1FPsUyy\nwO4ee/IxQkImOGIdwsJinrmALjl9GmGz0KPinHMxi4rpvPOOcc0vOfMcBh95wHc8vPxE0vt3aana\nRlU9ZFLY/d7fmFG7ALvdu1AXJVXIxCAynfKMmSVVZAe8x1p2sVOvtP9+fb+kKWFmkxU2AHdIKVUF\nbgEgpYzh9CLqA74y0QPPekTTgKf+80m6dvVQvqiU131cX5iqItvdQqCs1rf/jxzsRgRCGAVeSSBp\n29jtBwmt9bLVpJUl27Kf6AXv8o5JSeql7RRuuEj7msn9L2EWFOZt9ZBqayO2YwdLvvrv+gmrR5ve\n/lR5+hRRQaUwqLY66CK3N4eb13dY8YLUtaa7m5fKRXRz425Qti/znKQEu5O0iPMo9fTLfjrtbk/o\nTy11vU2JeF/6FVci/bOvVPXS23Ifrh5lnD2iqCklXXs9qmxf5VoH7VMIII8oz692/2RiyiIkmv/9\nCyGY/5GreemTn6DyvPMxI/pQ9AiKXnMGnb/6MVY8hlnoZYsaBYUE5iwgve9Fz6JKCIE5bynZw3sI\nrc5VpTBr5pN56h6klDmLKGEYGGXV2H1tmDULcvcpqSTdsgfIXdjVr6knXBqi7+AAvft7KV80jYoi\nM9s1qALUztZZ4Gh4RUqZEUI8CHjrTcbAzH7brwLEO+I8dN1DAFzwnxcRCI9t262eVo/Crwq7q1mb\n/wGHti3CBYgCjX5c+5Hhlsjedt9WVxsgMKv1emDxLU9TeLK374uK7vvupeKss8e8maioIsxJRhlz\nrLZj071wkgjJIQ5Yh4iKKPOMBuzZS+GYoei44yg67jg6//ynMeeahUVEV64mvuUp3znhZatJ7dmh\nHQvMXYLV7PVURLQQEY4i+7s8Y0ZZLbaGmGAWV2DH+5F2biLTMA0aNzhGa/9f9ud9PxPGJD0iIcRy\nIcQW5a9fCHGNEOI6IUST8vzYeQN/9ALq6qAbcIdt0ngFU8bErEc0RTxw7V9ID2ZYvGkRSy8cO14s\nMymsoX4ipf5tA+yeFsz5x+nHOg5j+OSWrKZ9BObq+8Sk971IaPFK35Da0LZnqLr8vXnPvevee2n8\nuDvDrUBJn9yMU3u6y6yl2u7iXoXIoK473an/7ynbKrdvnctO3KbcG9z19qp0rPqN/MI170QspNVE\nxqimxZxPsdVCYJgtoVak5JRlfsF1kE7l87xRZTxMx6UVy314y+jiY5+rs9Zzyra6THB7kipl4Pft\nuWOqV6iWSbsJJVE1zTKoyqLrJXoA5lz5bvZ89lpq3vTmMZW6i055HbGnH6PEp5YttOQ4Bv74S+2Y\n2bCI1DMPaseMqgZnkVeWe+2Jshqs/ZoaJDOAESnEjvdjFud6PYvOXcLuP+1h/1/2svb9+kaWk8Ik\nw25Syt3AyQDCUX9txqkdfx/wHSnld6bh7PYBjcrjZ4BzhRC1wz3gCoE3MAnW3OwycApo29rGlp9v\nxQgINn3X085Ii2xfB2ZJlVaWBxztObuvE0OjLQdgdzZr24EDWK0HMefoc0fpAy8RWrRCO2YNxUk1\nHyayXG/8ABKHD5MdGKD4xPwiqCq6RQkGNpXjFrd/+SGAkN1Jgd3NgDmXDLN5o2OBolWrCNfW0vvX\nh8ecW7jmNIZ2bEFm9fTo4LxFWD0d2AkvdcyorEUmYtiJmGasHru71ft8aTVyoNtD7waHcWfFez3P\nN76+EYCmxyfU9HlsTA99+xxgr5TyCM5PfLqCEfcCZw0bHIAfAhXAc0KI3+MIojaSG5kfF2Y9oklC\nSsndV98JEk794KlULR8fe8rq6/AlKQDIgW5EtFirxA1O2C5wgleeR0qJ1XaYyAZvVgQgc+glCjfq\n80OJXTuILF6OEfTnjvb+9WHK1693MfXaUFft3coKu7pQsDNVyZpQK+UGvMt7XwC8LRzUphQ5rC5X\nJPNSZal/2HXsfmVbVWHpdOWjVW/sXjmIYWexzXrSdid3yNFaFXWJca/LO1j9H6Pb64JKtupb7mtx\nvJJBijTSNblFwTcrr+U+ukrSflLZ7nfNUwuD3dUzCu8Odenwgmvem5TPe0WOf5tfEaPmsjfT8afb\nqDwrf1+oQGkZwZo6knt3EV3hLRoVZoBAQyOZw3sJL8+tlxPCwKyZi912BGNhrnSPqKjDPvC893jB\nMCIUQcb7EUW5USWzsAxrwBvOq1pZRbAwyEBTjFibz497MhgvfTs/Lgf+Z3hbAh8RQlyJ8xV/TErp\ndpTHi5/i5IgKgLiU8k4hxEeB64A345DKv47TdHRCmPWIJokX//gihx9pIloR4fXXbRjXPlJKsv2d\nvpI+AHZfh4dienT/ZByZSSOKK7xjsX6wbUSJd8weimHHBgjU6PNOid07KdBc8Cr6HnuMstPzM+pU\nHLFKKDVSlBvudPnMhS0TJK0mgkYVjWJqvahm4UXFhg0M7dpFqr19zLkFx5/M0E5vuGwEoQVLyRza\nqx0za+dhdXile4zyGmR/lyfnAyCKK5GDGrZdYSlW3G3OnTxR/VonatH81PS1CvfzgB5KwnU9o39+\nEEKEgEuAEfbKD4CFwElAK/DtyZ6alLJFSnmLlLJTee5GoBpnqVgipbxWSjk+jS4Fsx7RJJBNZbnv\nY856fcOXNhItH184x473Y4TCvkWsAHZ/py9Rwe5px6jQd/60OpsxavRN0zLNBwnMWaCtOwJI7t1F\nxSVv046B05EzvnsXJSe7RSx/gVO/5kAVM12aKecE2X60xjWn4Z2y7aZVqEWs6rLtXa4IyNuVbTdr\nTm22/nbFC/qoa57qLRUfnZdGWk2sNudSa0O37M/JnbhLO9WqomeVS3ztb12SQUuVx/7ERPjv0U3L\ndb98t5ImdnuYqteiBqzcpctmkdNmI0mAF4eCBAkgABvJP0azFIsUASF5Qjm+u9ZX9RkSYvQkxyDQ\nYYTDlK8/k57ND1D/jivyzo2uOJ6+e/zJDcG5C0k8+4h2zKhuILvfS2YQgRAiWoQc7EGU5kYwRHE5\ndqzXk6IxokXI1BDStjzh9Lnr5nH4r0doesJr9CYNnxzRhmLnbwRf9K+CuAB4dsRYSCmPsjCEED8F\nbp+W81QgpczidbAnhFlDNAk8ccPj9B8aoGplJad8YPyV9tZAl6c4zg050IWx+CTtmN3XjvATSO1s\nwdSoKQBkmw8RbFigHZO2TerAXiJL/PurxJ7fTuHSpV6V7cEdkLr/6MPHh//XigIasWm3E4xcBWr5\noamkuJ5wGZgPKjfb3yg3Q3f2Ss1UzXeR/W5TCFdqcOug6xi3KUbq0pzUWobnDxyhwJzLSTZslqMr\nYrc40mrFtv9EMRwtrve1WXnsTsGrn41abRN3zetUPo98HWtVsoZi1wiLQgqHigkJ53s800gTkhYC\niYXBQ6kAAUJkSFIjBojIAQReQ6QaPZUqf3uO4noVuYFWBxVnn0PzL34+tiFavorW731DawAAJzT3\n5//W7AlmdT3pp+7XjonSaoc55zJERlEZVquXAScM0yEsJGKYhble8tzTnB/ytBqiqceo3sFoWA4h\nRL2UciQxdhngjU1OEMJZ7a7HWfOV4kSAt0gp9SuDcWDWEE0QsbYYj3zV+bw33XiBb8M7HaxYD4FK\nvbEAkNk0MhlHFOjDQrKvy19tobuNwIJl2rFsexPBRv1YpqMNo7DIt1UzwOD27RSdMH6SwnxRQok9\nMKPo2hNFkCxzrCaazXkI20ZKr77ZqwECg0JRRqFRRpYMGXuAIbsLmyzuSrTtw3tERAEJUUbMqKDY\n7gTpNomTR8maNez57LVk+/sJlPqHP82iYgKlZaSbj2hbQ5jlVcjkEHYijuEqVzDKqrH7u7VGzCip\nwB7s8TgeorAMqQnBAYhokdYQ1Z3shOY6X/DmkCaNKRSrDpMIzgGuUp7+hhDiJJxc0QF0q4OJvcYZ\nwM/RKAELIfYA75NSeqUqxsCsIZogHrj2ftKxDEsvXMzic/VUaR2klNiDvZgL/DW3ZKwXUVTuG0Kz\nB7owl+qFRu2edoyT9T2Gsu0tRF+zQTuWOryf8Hw9024EsR07qHnTm7wDO8iJVb0LkAiSopCk3anK\nxrFC8XTuUbwDt++nEg9U7XK3sI6Kr7lKTtRQ2kFl202YV72PeS7CqfN6WaTVTNCcS9S2CMghj5fy\nG8ULukpxKh/ZnTtP9ejc62c1HKneUt2cMNUzcasBqsubFpzvIWFUMEeUEZAxQlYTJmnWGxzlUN3m\nCv1dNRec+1UcMnG6MlF2xGqpyxZRYrcfXVio5/+ZnCP8znWG3nueEQ5TctLJ9D/9NJXn5G8hElm0\njNTBvVpDJAyDQM0csu3NhFyLLBEMIQpLsPt7MMtdVO3iCuwuL9NNFJQ4CgvSxmE/K+ccKcJOegkJ\nZQvKCERN4u3TKPw2BUMkpYzj0pySUl45xTM6CiHEWuA+nAqBh4f/2nA6tW4AzgTuE0KcKaXU9+vw\nwSxZYQJo3dLK1l9uxwgIzr9hfHTtEch0EoTACPvnk2wNa+fo/lIiB3sxNGQEKSV2Xxdmmb42KdvV\nRqBGX0Cbbj5CqMFf8w4g/tJuClfoqd9u2KIAQ6YwxtlTaKZDkCZqtZAw6rBeJf2NMkToMxdgEaLQ\nOkTUbsfEK4kzFqqCCc4oO4SNSZ9RP20dcEvWrGFw69hdTkPzGkkdPug7blbVke3UpyaMsipt8aoo\nKnOIPe7nzQAEQpDyqsEbkUJk0usVCkNQubzS8/yUEBzn3yuDrw6/+qVSyo1SyuuklD8c/r8BJ/QX\nxt0VcxyY9YjGCYeufZdD1/7QqVQum9gP0I73ayV7cl4j3o/hE5ZzLhCBCHsFS2VyyFnlasRM7aE4\n2BaiwCuXApBubaJgpb5lBEC6uxssi1C1Jjf1MCpXgSVAsygkJOMeQc1qZUGpMlR/65qnFlKqHsCj\nrnkqbcItaKTup6asLzkjd9465YL+sKsGUiVDtJHEtLuwzAYs6zCm0h4zhwerrAOqXR7ResXpfMLl\nfale0GqFQLHLRTdfoRyj23WM64f/LzAqWSxKabQ7KJcx3L+ImxQvyNM/VVnY7zrKzJJsLG/lmaE5\nhI0aVkc7uF5hbf1WXRc9oUiQRTNeNdphFJ1wIl33un8hXoTnLqD/wXt8x82qWqxuPQPPKKnA7vfS\ny0Rhad4QnEzEEBFXqC8cJZPSez1Vyypp3+pVZZg0ZnbTu9cBf5RS/lk3KKX8kxDij3jF8sfErEc0\nTrz4hxc58qhD195w3caxd3DBTgyMbYiGBhA+c+RQP6LQZ2ygB6O4Qs+m6+3ErKjxVVTIdLQSrNXL\n/gAkDhwgumjRuEVO4yJKkXwFNOqPMSw5gCWHaDP8qfevJASClUY9pSLKcdYhyuX01baYQrK2oIUu\nq4C2jFc+aqIoXLaMxKFD2On8XlqwvoF0qz81OlBRjdWrz88YJeXYg95yGVFQPByC8/p3IlKE1ITg\nRKgAmdb3zSpdMGE1m/yY2f2IbLylf27oOfVjYNYjGgeyySz3fcxZmW388llEysavtTYCOxHDLB2D\nMZeIaduCA8ihQV9DZMf6MYr1F4TV34NZ6i/KmO3sIKjzdoaRPHKYyDyf0F2anFX0NgwEQV4ixYdd\nU1V5HZWf5/ZmVAGh6jzz1EDJfFcJ1BcVN0jNmn3Y5VZ9T0m3ucWN1io1xzePLLrtTsLmfA6KYkLD\n5IWcjN9jo5tusSfVC3LfHtcpns4XlXlfcNU9b1bG1ECrjcHZxhwEFmVWM39UgmjuXJKatTFdjP1n\nlRRPjrkphQCS1ZF2tvfUcSEHYfg1Pqk4Hd+4S9mnGl+PyAiHiTTMIXHgAIXL/dmawepast0dvsw5\no1Tv9YDj+dgtGhacGoJzRRBEOIrUhOZEKIzMpDyCqQCl86fZEM1sj+gZfL/VozgB8BcK9MGsRzQO\nPH7D4/QfHqT6uMpJ60rZyThGRG9kRiCTcU9Y4OhYPiMVH/A3Uv29GCV6QyRti2x/L4FyfwOZamkh\n3ODP9MuBiODVe/57giRqtZEyqpEz5NKRQJtRj0mGMrsVMW2ZHC+qIglKQ0ki01DsG120mMTB/JJk\nRjiCUVCE1acXAjBLK7B8DVEJdkwvLSWiPp5PuACpCcEJwwQzgMx6PbiSefmjHBPGzPaIPoejLfdB\n94Bw8CEc1t7nJnrgWY9oDAy2Dip07QsnRNdWIdMJRB6igpQ2ZJKg6cgKw0ZKkx8CkEMx3xyQHRvA\nKNJfLNbAAGZBkbYb5gjSHR2ULtJ3bB3aDVnFy1goQiRlmoV4O2Op1B3VW3BnCt6vbKtMOTdXVOlb\nR5+rdlHNM/3O53mAR5R8+XqX9/E1JfWg1v1kSBGQMVJGJRG7E7UaZqeSf3HnvtR8TKNr7Eblfqx6\nkj9xpT9U9cGR9Fa7Ue2kB+32o7Ky6rflXr6qjbsX/S53TJUGUnNkn1XOr4heTjTrqLf6EOS22Xj2\ny6PbkZWw6iP4ItLQQKp5bEWCQFkF2b4eAhXenKxRVKJtGw5gRPUEAwAR0ns+BMMw5GO8AmHIpp05\nCkrnTbMCx8z2iM7D0Rj+nhDiGpxuIe04/S3X41za9wDnCSHOU3eUUn4p34FnDdEY2HztA2TiGZZe\nvIRF5+Rv/+0HadvIbBoRzBPSS6cgEPKlbstUAqPYx7NJxn3ZdvbQoIfCOgJroA+zJP+FlO7s1BMV\nNEiIEAVy4uysVxvCdjdxs5EQveS0R3+ZMSgKiYlCGq3D5FF9mVbESAISiwiBKXi/4TlziD0/dm2l\nWe4YIh1EpACZSiGtrKe3l4gWOiQe7YtHIO09dxEMY2e8DfIAp9V4Jo1bEzdaMc0iuTPbEKna80vx\nRqABNg3/uTFriCaL1uda2XrzNoygMa72336Q2ZQjL5In4S+zKV+hU8AxVD6GTKYSGJV6woGdSBCY\no/ekrHgMoyh/uDDb30+wTG+sAuTK+g4QwCZOC6NCVyN4WtlW2afuzKe6iFaFPP/FNU+V63G3gVBr\nk1SinPuqaVG2Ey7vQ1VQUFssfPBKAIudzwwQCJVy29ZRrRWVrec2/aoH9xXXR77iXOXB1tHNq9x6\nQop7860tsMioot3uYDu5BUEqZcl9HmouLOoScd+k3LcHlHu/W9WisSiOSSHLipPcrpTkXKKWuOUv\nTSNYWUW6Z+xuvWZhEXZcT7wQhoEIR5DJBKLQVZAd0hsbcLwbqTM4gRBYbh2J4X3MINLyLjqCBdPM\npZ7ZFQL6vhzTgBlviIYbOX0XZ63wUynlNzRz/gNHY2kIeI+Ucku+fYUQFTjRkwU4NY9v0ynS3v0R\nR137NR8+lcqlk68XkJk0IjCGrG4m41wIfsfIphA+6tgynUKE9EZMphK+tUt2YgVJePYAACAASURB\nVAhT00RPRXZgALNYH9r7PrmdPK8WAebZWYqAt7rmqoWP85UbcbXrHqPeOlTD4Q4xqeIubr1xVfMu\n3433euUm6r79qGSAHDM8/MLz6edJMZezje6jxvhmxR645eTUc9zses9BxUqpr3ut6xiNSijxUlFC\nXFoskUMIcgt31TBm1OVgqzJE73PVdaoXgEoucX++mweGKDcquLs/N9z5rHJ+kSSswh/B8nIyPWP7\ncWZhMZaPIQIQkSh2MoHhMkQiFNa2/3ZePAiaVuMiEEBm/QxRQG+ICqfZcsxgj0hK+dCxOnbehIcQ\n4oZhobxXBEIIE6dX2iachdk7hBArXXMuBJZIKZfipBh+MI59PwXcL6VcBjww/NiDI481E62M8PrP\nb5jaG7Gz4NMWfARyrDnZDJg+P/psBvyMVCbtb8BSKUQ4PwPQTgx5Neb8ThGTwN9JIetYKCaNgST+\nCi1hh0QxxbLvFZFRSsk0wSn2KzCLirDiY0sHiUgEmfIPAYpgyAmZeV4gAJalp2mbQaSt+Z0aAdA9\nD2CY2rFgdJq//5lNVjhmGMsj2giopEyGb+ZfwGFHFOEsxh7E8TgmJOswDrwGp8HTweHXvgV4I/Ci\nMucNOA1BkVI+KYQoE0LU4QQH/PZ9A6NakzcDD+FjjDZ+eeOk6NoqpKWnn+ZgrDm2BaZPMz0r679v\nNgs+ZASZSSNC+W8odjKJ4dMa/KMCPqpcFPdiHC32/KMr/KRK9zyibLvdUDULp0b43QJDatLd/Q5U\nivLHle0PuzwANWx1luvivlHxHHKyb8rz0kjyoIyAdFbR6rlfTy4+oWy7A51+Ib3XueaNEAhsBNtE\nlAa79egFrC4VciJ6LhkflfBgumjvjyikD/Uc3YSSlWRJYnA8gsXh0Rv9I4oDMhZ3z4xGsZNj55hE\nMIitMzQj44GgsxBzPy8EmAZYlvf372NUMAzQtIhwxgRITfsIQxAsCHj1mCaLGewRuTFMWLhGSjm5\n5LmCsWxrNfA15YWvBJ4F3oYT3r8JR1Z8IfCoEOImMd7Kx/GhgVxpqyZyZbXyzZmTZ99aKeVIVmCE\n9eFBxbIy1l41fnVtX0jp/MjzzrHzz5EShM94nuNLaft3gx2HgZSWlZdVp8JGYBxD+vBMg0mGVyK6\nnSFAAIuA28q8THAucJupLM1FMIjM6MNgOfMM0zEmfjAMbX+h4Z1B1xpHCL3BEXpjA454rM67ArAy\n0/g9vLo8onK8JNBJYayr6HEpZWy42dI3cXLJHcDrpJRb1YlCiDLgizjd+r7gPtAkMd672niMn9Ad\nT0ophRDa19mc3Uz3V5w2wRs2bGDDhg3jPJ3/G3hSwmHlGiwyndW9DZ5GQ3coXpDaCfSbrmNeqy4J\nlMTQTfflzlPp0O4GF+9WtlVSg1s49St5Lmg14KKWXKorGwNYzGg+SPUc3O9rl7LtJld8QTkP9fN0\n66SMXFQFwNnIHAKIqiikfh5/cR1DlRn9sIv2rnpgVyniIfe45I/Omgv3d8AZNXC70nlbzemNGbgb\n73p1jHn5170TXRPnme8aeuihh3jooYcAeDgzdvvzceNV5BFNJ8YyRN8TQvwEh0S0B0dddQWOFcwx\nRMPJ/muEED+fxvNrJjfvOw/Hs8k3Z+7wnKDm+ZHChXYhRJ2Usk0IUQ9oxaJOOrCG97/x/dSf7C+B\nMy4IHK9lqnPy2eU8+/qt5PKtAHPm6MIbfq+lt/d/pzAwXgH6dhabV/qOZUuBoV+/jfMA1thRAvAP\nlQ3DUTvwHcTXuOh2yjNfSpkzoi5Mv/atr/JQ/KG85zluzBoiL4ZZEg+pzwkhnsYJwwkp5a26/aYR\nzwBLhRCNOGzbt+M0flLxZ5w6wFuEEOuAPilluxCiO8++f8ZZOH9j+P9t2leXcM81d/Geh983bq01\nLQxTnxzNmZMnUTp8DN9x00T6hC+EGQAN2wfGFx4xwmHsdBpTY4hOOx9OU0QZ7vq+zT4EBlDp4vx+\nUHEx1GZ4f8ydRplCo96jeEHXukTHn1AIV+72aGqjOXXR7xb5vF25x7n5W2qDvpzlvZLUelREwB44\n+pRKB3cHzS9Vzr/F9WLPKufRqDz/Qu40pdjXoossJUQIDfMM1f1Uurk7sKwe052DUs9f9YKedM3b\n02TQaApuarFz8lu6ohI/WIkkpk/uUYXMZnwZoUB+Eo8fAci2PIWpzovlCY9LW1vjJ6Ukm5xGgs7M\npm8fM0w4wC2lTA3nih4SQnwU+BVOmUgSp1f62IHf8b9WVgjxYZyohwn8TEr5ohDiA8PjP5JS3iWE\nuFAIsRdHguy9+fYdPvTXgd8JIf4fw/Rt3etHKyIcfqSJXbfuYuWbVuqmjAvCCOSPc+PEwvMaKzPg\nEA90+5oB//qHPMZGhEJ5E8EARiSCnUyOizknsLEx/25aQORDBoMYIebiQxE+xgjJOCmjiJD98ksq\nBQmSmeJlbieGMKJjF4Pa6RQBd42QApnNaHOYzrUk9MbDymLocqO25Sz4tCdia3O0VtpCWtMYAXh1\neUS34TTbmzImlWkdNgZrgO/glJOMHOduvB7LlCClvHv4uOpzP3I9dmts+u47/HwPeBpUerDhSxu5\n+8N3c9/H7mHpRUsJhCeXmBaBINIaQ3EgEHQkRHyPEdJqXQGIUERfoIe/kCOAEYliD+Wn+wSKi8nG\nYgQrvH2Qtt0Lrb9R5hpZDGESlHCbK6+gViKpIiruPMiTfmMuO7hOoXV1ui4FlXmmHm+f67XUc/JU\nUykfy21KfmtE5LRXFFNAnG8pYcjvKfmtj7oKZNcqxT1vd0lCqg361PN1Vw+qOa6Q3Ue/uYAgfZhk\nc5h9qjfmEV9Vtt33PLXmSs13uWu45osoSZngFHIbz6xQ67TqyItMbx+BsrEFQ+2hOOZcfZt7AJlM\nIiIag5ZOgR8jNJtxrjf3sSz/Egppe9UbADJD07budjAFIsJwnv6nOCVcEucr3cM4aiYng2GewNYx\nJ44Dk6b8SCmbgbcPF4cuAdqklIen46RmCk75wCk8/f2n6Hqxmye++wRnfPKMsXfSQAR8ah0mMicY\n1hbhARAKQ8rPEEV8DZFZUIQ9lL9dgFlSQrZf37/lxAicqISw7hrK0kcQgwSPu+aqn9ylSlQk4Tpt\n1fiUqL15XJlB9QbrDjGpag1qpYpbn14t1HSLGLQp4TJVwbvScK7wR0QZK2Un31NuHO9TjM91ruM9\noRifxjznoYbOVria8a5QBm9KZSmT/QwaVXTbbTk0+EuUbfcvRu0p7PZxtynb6vdwg2teuyjgsBzk\nELlh0Ikg09OjXdy4YcdjGD46igB2ckhriGQmj1JJNq0vHs9mHDq4Dj5GKhOfZkM0NY/oRuAuKeVb\nhBABnPXVZ3BqJq8XQnwSp0xFW6oyUQghinGqG/qllHqRvnFiykRAKWWPlPKpvzcjBGAEDM7/riPt\n88hX/kqsfZI9XoZ/wH5V28BRSRI/YoEIR317oohIga/Ao1HgL5FilpRgDeb//YQqK8l063u+eJEB\n8fcf5G6mGANJ1bQVj0wO/XY3IRGmaBrUsMeLACY1IkqLHLsYNR/S7W2Ea8dwm4Bsfx9mqU/X4mHl\nBJ3BkcmEv0hwOokIafJTmZSvuokTAvSOpQanOTQ7Sfq2EKIUWC+l/Dk4qQkpZT9KneXw/0uncnpC\niKAQ4tNCiH04GdODQK8QYu/w85Nybma8xM8rjSXnLWHphYvZc9c+Nl/7AG/42RsnfAwx3CLcTicw\nfVZcwgw4BasahV8AwgVIP2XgaBF2n0+DsKISrG59B0mztByrv0/bZ2UEwapq0p1u4rODriSoDtVJ\nlSlakiWcUg778xSP/ka5dt2mWb11bFPmuTXTVihhsErXfepphcusejPuT1597UdcY6pMzkFl+3e2\nYI5ZRZfVynZy6xhV78BtotTOOO64iJrlUfsbPeHqpq16gU7YTpKxWmg251Fup0E6CxX123LLip6m\nbP/CNaZ6rapXqfaC6hWlFMgYPx2uYbrd7wT9o2kAJFuaKVzm34toBFZfD4EyvedkxwcxCou1v12n\nbYpPS5WUXgnf8aJ89Bwzaa23NNisV/+eNCbvES0EOoUQv8CJpj6LI9E4rprJ8WC4jOdenJ+6jcNO\nbgXqh1//q8AmIcS5Uk5M/XjmlEbNYJx/wwUYAcGWX2yldUvr2DtoIML+svSjc/w9GxEthITeszEK\nipFDPnL4xaXaTpUARiiMCIexY/4XU7i+nlRLi++4ipJgioFMHobT3wHKjWqSMkFqhvRdCpKh1m5F\nGPUgpt49NR8sTPqMMhrt3ikfK3nokH/DxWFI2ybb20OgXG+IrME+jGK9N5ivNQqpIU9TPBhu1aLx\nlKSUw+r53t92/xF92HrSMMf550UAhxh6k5RyDU5UOicEJ51wy1SYFf+KY4TuAFZKKRdIKddJKRfg\nlNv9GWft97GJHnjWIxoHKpdVcuqHTuXJG5/inmvu5j0Pv3fCdG4jWoTtY0hGcLRVcbH3whtpcazd\nr6gU6WNsnOZh/jeOYFUNma52X2HTyNx5DG7V5yOrVuN0KBlG9r4MWdMg3mQyz8WcUz0atVGq29f6\nkLKt5incq/c2JR9T53KrVAdJHXJL1ahSQO61rirfMWKG06KQKlHIGuvQ0QtH/dRV0oHbg1M9nedc\nYyq5QM0RuVWv1dfKoVTLBG8wW3hWzGG56CKeGfWc3bdb1dNx08PVz1stkB1ZGlUaVdhykC7SjPjf\nl6pOjcqPz9M5RErJ0N69FCxxd5nKRba3G6OwEMNHD9Hu68Es04sR27F+jCKvkZJS+jaglKkEolyz\nTzYNpqlVIek/PM2GyCey/dBh5y8PmoAmKeVInfP/Ap8G2sZTMzlOXAHsBC6TMleyQkq5VwjxZhzy\nwhXAv0/kwLMe0Tix4bqNRCvCHH7kCC/+4cWxd3DBiBRh+xiSEYiCYqQPeUAUlCDj+tCcUVzm6/WY\nZZVYPmE7gEBVDZmOdt/xyIL5JA4d9D9p9RyBMpmgV4xPJPXVBIsgMaOW5VbbKyatkw/lIsk64wh7\nZQUdRi32NF/ahaKEsIjSZ483X+iPVEsLRiRKsNy/hT1Apr2FYK1/MbnV24XpE7aTsT5EocZbSg5B\nMKxlwJHSN5+U6QSGT8PKgek2RD4e0IaFcN3rR/885yhlG3BECLFs+KlzcIzG7YyKjfjXTI4PS3DI\nENr6jOHn78bbx3JMzHpE40SkLMLGL5/FXR+6m/s+di/LLl5GIDL+j88oLCXTtj/vHFFQihzS/7BF\nQQkyGdc3ASsuQyYGkdmsp6bCKK3Ajsd8VbhD9Q1kWt1iFaOIzptPprMTa0ijwr2OnJXv7feBIeO0\niwIuqck1uiqjTL2OPkou1FW6erbu24Mq31HtKhBVV/aq9+WmMqv9Qde7xlSl3/kI2s05lNnd7CSX\nMKK+SzX/UumyAzcotuuLrtdS8yyqh+guJFUXy293jW1OAWSQHKLEqKHFXMASu52gzM1WnapsuykA\n6mP1tQpEMa1GFYusI6xB5szbrLhOZ7kkg/wQe347RauPH3Neuukw4Qb/ZJPV3YFZ49OHq7+H4Bxv\nUyQZ70cU+ITzEjFE1BvOk6kh3+7KvfunuSXh1NYPHwF+PZzL2YdD3zYZR83kOJHBEbrOhwImUUs6\n6xFNAGvffwrVx1XSf3iAx29wE5Tzw4gWY6fi2p4mIxCFpci43rMRhuF4TDHvuDBMRFE59oC30Zgw\nDMzySrI+hIVQ/VzSLf6GSAQCRBobGdrnrsLRw5ZxhCjE/jtS+eky6gnJBEVymle/xwACyVK7naV2\nO/uMGnqNOaSZnHq8BIZEBa1GNQutJsLTVKs+uHUrxSe4q5O8SDUdItTgn0fKdrURqNTn3u2BboxS\nb9jOjvcj8oXsNIbITiUwfBh4Xbum7iHmYPI5IqSU26SUp0opT5RSvklK2T/Maj5HSrlMSnneFGuI\ntgFvEUJoA69CiCrgLeRWAowLsx7RBODQuS/gv8/7bx756iOc9J6TKK73r/pWIQwDo6AUK95HoKRK\nO8coKicz6J/PESVVyIFuKPXub1bUYPd0YFZ4L8xATQNWezPBurmesdD8hfTdd4fneRVFx60itmMH\nxatX5w6sJEfNz7lNZykly6OdBYSU1fjXlN1UOo3pyv+qrQRWKM8vzp2Wsyp3X1lqvZDqHblzRGuV\nBfO3XEWxF+PciDuMOlJAgd3BELnsN8iVxVGlL691Re8uVLbdGTe17kd9L+7bvjrmpo+cpdZcpQA5\nRL11iBZRSq9Zj0GWoN3HYzLGSL7aTbcYMQ02UFpbxO7+SooCWQ7HDrNN0dRTfSyVUUdAzUDpkx1S\nSvqefJLlbx17YZ46uJfidWf6jmc7mjFr3WL8juK83duFUebO1IEc7MEo0oQEkzHfkJ2diGFqwnyJ\n3gSxtiECURP0lRUTx8x2Db4H3AI8JYT4Co5+7whrbgPwWZwYyTUTPfCsIZogFp+7mKUXL2HPHXvZ\nfO0DvPEX46flm0Xl2IM94GOIiBSCbfnSS42yKuy+Tsx5XtqrUVGL3dNOblrcQaC2gWx7s+d5gPDc\nRtKtTdqw3giKVq+m79FH8Yhm1F4GtaMmYg1fBmDQHiAaKOFkY/SW9XvFwKghrAFXGcYK9HDf1tT+\nRG6eoXrDVkNdV7iM3mbF+HzcFcW56QBUGDUERYAyq/nofcatdrBC4Tw/osQB3Rp611ypPHBHmxSx\nvF+o5+S6KdUpTkSZi9qtfr5vPfrzkBxHH7bsoz1eRNNgCcl4DaZMYpKkRKYRWAgpkULwPEFSIkxc\nFJHpymDbXfQl47izMOovLLen0dipgeShg2BbRBflb2EjLYvU4YOEG91LEAd2Io5MDGnJCnKwHxGO\naJs+ysFejGrvgsyOD2D4hOzsZIxApdfgdexwogyVyyom4QP4YAZL/EgpfyeEOAmHjfdjchl4I+yt\n66WUv53osWe2/Z2hOP87mzCCBltv3kbrc+Onc5vFlVia8NkIhBAYJZXYA3p3X5RWY/fpa3qMqnqs\nTj3NOlA/n0yrnnJjRCIEq2tJHfGXjCo56WQGtjzn3/fFhQI5QIcsJCVn8FWVB1JChVFLUITpsFoQ\nr3I1cUNAfVGMU+tbKLYOEBoOMaZFIQlRwZBZRVKUkxQRgjLNHKsJyzqCnGLRqg49Dz1E+fozx2Sd\npg7uI1hTh1mgp6RnWg4RqJ+v1ZKzuloxKvXFsnZ/J0ITUZDxXt+QnT00iFHgjXw0P+ks7uac4jVS\nk8YUQnMvB6SU1wKnAz/Dce4PDP//GXC6lHJSqg2zHtEkULm0ktd8+FSeuOFJ7r76Lt77yPjUuc2S\nSpL7nkPa/g3pRGk1dn8nZvU8z5hRUUf2eXfp5fCxaxpIP+3uPuMg2LCAwbtu8T2vyJIVJPfuJrJQ\nr58crq/HLCxkaN9eCpcuU0ZW4PTGctA87BGBTbE9yBa7jGrbMbzq2lS9tbgXkqqI4I3KttufU4NA\nK16TO/Y9RU5HXb3/wuV9qUQJ68DImcMOo5Y5IsgKqwkTmRPScxOWfqN4QVcoXtX6/d9yzcxTWvGl\n0c2Pq71cK3O7GqkFrutcEdiLFTLIzQqBwB0AO3OhDcSAGDe51h6rccKB/eR6pu6lj7rc/cKvmRC6\n//IXGj/+8THnJXbvILp8le94tukgwYZG7Zjd1YJZrQvZSWR/N4bOEA32Iko03lU66YTVNTVEzU86\n3akaTpvr3IanAzNYmEQI8W4cKbd7waPiNSXMekSTxOu/sIGCqghH/tbEC793V2ToIQJBjIISrEF/\npo1RVoPs0xMLRHEFMjmklfoxKuqwB/qQaW+hpVlZi0wMYcX0yfbospUkdu/Me+5lp62j//Hx//Yq\n7F76RCnWq+gnlkWwxZhDmgArrGbMV7knNNMQ370LKx4bF1FhaOc2oiu9YeYRZI7sJzjPy4oDsDqa\nMKrneJ6Xgz2ISIG2aNUe7MHQ1O/ZQ/0YBfoau6Zhj2juOm+ob9KY2R7Rz4BNx+LAsx7RJBEpjbDx\ny2dz5z/fyX3/di/L37B8XHTuQFkNVl8HgVJvIhXAKKsl8/zDSNvb/0QYhmNwulow5+TGzoVpYlbX\nY7UfITBvqWe/4PzFZA7txVy11vOa0ZWr6f7Dr/NK/ZStX0/zT3/CnCvV/qfHD/852KQQji6JZThT\nxnjGqOBJuyunY2mlMi/jKptSqc2qeX+t63xUesUKl5qpmvxfrXyEm12RRZU08SQmA2YDAZmi0G7P\nKTpVb08HXedxherofEulF0z20rp+dLP7azkj654YXS5brg9E7XqrZhDdBI1LFXVXt8+tnr1KBnEH\nfHMICic8zXjRceut1FzyBm04TYXMZki8+Dx1H/hX3znpgy9RtOkt2jGr/Qjh113ged7uaUeUe8k8\n0raR8T5EsdcjsuJ9GIVerbtYe4yBI4MECwJUH6e/lieFmb1ua+cYneHMftszHGuuWkPN8VUMHB7k\nsW8/Nq59zLIasr1t/uKmoYgjBzSozyUZVQ3YXXrigVnfiNV6UDsWXLCEzME9+rG6BqSUZNr8pXxK\n1qwlcegwqTzFr248Y3ezQpRSOpPjDUCCMP3mfEIyTqHdPuEG07MYG9n+fro3b6b6DWNrNSZ27SQ4\nZy5miZ48kO3pBMvC1FC37aEYMhnHKNcw5npaMSq8uSMZ60VECrVacnasD1NjiJoed0oe6tfUYZjT\neBud2R7R3cBGITSNmaaIWY9oCjBMg003Xsh/nf1fPPo1h85d0qB344/uU1AKSOzEIKaPy29UzsHu\nbsHQeE1GzTyyLzyh2QvMhkVknn8CXuMdCy1eSexOPZlFCEHhCWuJb3uGUL0+8WoEg1S8/vX03H8/\n9e98l3aOmnT55ZcBLFrtbt5v1hGzjhy9wW9WvCC3KOcuZVu9LZzl+umvVrwbyxXpVL2ZTmXeDa4I\nyq4mGBTFdBnVLLY7qJSjJ6a2PlDf7WJ3qudbxzJ857o8142+limvzhnKiP88ut2mPO8WX71E+Tx+\nl+eVVQ9rl2vsLKmWGrt7wOrR9r+/p+LMMwlV+TBGFcSeeYyitW4feBTpvS8QWrJS671bLfsx6xrR\n3SvtrmYCJ3jp4HZ/B0aptzRGSokV6yWy+GTP2P6/OHV1jWflZ/9NGDPbNfgMTkurnwshPi6lnLYi\nqpn9tl8FWHjWQpa/cRmZoSz3fdwdCPFCCEGgvJ5sjz/bbsQQaceq52L3tGoLY82GxWRbD2g7vYbm\nLyHb3oSd0LcuKDzxFOLbntGOjaBy0ya67rnb15vToU72AZK4yC/n8nLDkoJOo4Zeo5IGqynHCM1i\nepGNxWj/w/9S/w9XjjlX2jaxpx+j6FR3l6lRpPfuJLRET2SwmvcTaPAaB2llsfs6MCq9Sgx2Xwei\nzGuI7MQgIhjWip2OGKLF5+rp5ZPGzPaIbsHpa3kljpzQi0KIB4UQm91/Ez3wrEc0Ddj03QvYd+8+\ndt7yAqf+8yEWnJlfAz9QOYfkvi2EGpZpV3VGRT2Z7Q8P90DJDReIYNhh1nU2YdY15u5XUIRRXIHV\ndpiAS95EBEMEG5eR3ruTyOpTcaPgxLW0/+S7WENxX8psyclrsBIJ4i/spGiVRqLl86Ob//bl0e2o\n1cYbzfnU2SlK5VBOUahaUwS5q3kVv3Hld/zT2LkejBow/dqwgESUMPPNOuaRYpV1mAC2WsoD5K7z\nV+TkgfT0+Zcf/5Hz6Cyp3OTvGf1+f+NKlbxf2XZTT/w6U33Q03N5Yj14Wv7rZspPP4PogjF6QwCJ\nXTswCosI+3RllbZNavd2ii90ixw5yB7eQ+SsN3uet7tbESWVWqNi97QRWOglUFgDXZiavNFA8wDd\nu3sJFgZpOG0aqdswo1lz5JJGwzjpyLF7eYwDsx7RNKCssYzTP3U6AHd+8A7sbP56G6OwDKTE9tOV\nC4QwSquxu/1yQQuxW/V1P4EFy7AOv6QdCy8/gdTu7fpjFhQSWb6K+Fb/5LMwDGouvYz2W93lmvmR\nIMsiq4WDRh1DvHJtIgRQIypYaDbQbvewwp6ZAqZ/T0g2N9P55z8x9/0fGHsyMPDoZkrOcJcNjyJz\neC9mSbm2kNVOxLD7uzDrvEbM7jiMWeOVC5KJGNhZrUCqNdCNqaF077vP8YbmnzEXMzjN7skM9oik\nlMZ4/yZ67FmPaJpw+ifOYOsvttK5s4unb3qa0652r/VHIYQgUNVAtqtJmwgFMGrmY3Ucxqxt9I7V\nLyLz9D0ET97oGQs0riT12F2E153vGQuvPJn4w3dqGXkAxevWM/j4w5S8boPvuVdf8ga2vfUtpLu6\nvPH+wJGjmz/fmMvJeuLBJBG7g11mAydYzUSHV9VuGVbVI1LfgbvNt6r89XPX2FUqzW04f5Qlylqz\nhqDMUGUdZgXZHG/JLadzqZpn+9YR5cHYOY5XBooPt2k0dHqFfH/utM//ZHT7q65DnKNs36lsByaX\nB5NScuD6r1P/rn8gVD02s8xODBF76lEWXP9D3znJHc8QXrVGO2Yd3E1g7hKE6b1T220HCaz0XpNW\nTwtGRb0nMiFtG2ugm3Cj1/fedavD51z+hpV538+k8H/UNZg1RNOEYDTIphsv4LeX/pYHP7eZ4y8/\nnsIa/0Zlwap5JHY+SmjecVqjYNYsILtvi9ZoGJVzkIkYdrwfw7WSMxsWY3W3Yw/FMFyNwQLVdYhI\nAZmm/YTme+VYik49nc6bf4gVG8Qs0mvoBUtLqTr/fNp+ewvzP/Rh16jCBnDd/3Y/CMgYIVvyktlA\nwm4jK4c88jyqCraaTHdXeNyqbH/GNfasQl54lgA1RhUFIoppd5KSMUayQZco0ctN7q/qSZVhOI11\nIi87fpz78EvK4y9xTNH5p9uwBgaov9wT29Ni4G8PEl15AsEKvbGXUpJ6/hnKrtRLmWUPvEBgobuL\nk9Nd1e5pw6j1ekR2VzOGRr7HjvdhhKMYrpqjdDzN/vudaMSKS/0EqaaA+aNZ5gAAIABJREFUV6cY\nyZTxf9T+Hhssf8NyFp+/kNRAmvs/cV/euUakEBEtwurTZ0VEtAgRLcbWkBqEYWDOWYLd5A3BiUCA\nwILlZPfrNfkjq08lue0p7ZhZUEjBiacw+NiDec+9/op30vnnP5HpnXinzrSMM2S1EDXqCBuVcIzI\n0hYBBowaFpkLyJBhn3UQZgkJLxuG9u3jyI9+yKLPf8FXw1CFlJK+e/9M2XkX+87JHNkPhkFgjibE\nZllkD+4isMhriOz2gxiV9YhArv8tpY3d3YKpMUTZvnZMDZNu3337yCYt5pxSR/Gc8QkeTwgzODQn\nhPgnIcQ+IYS3WtgZnyuE2C+E+MeJHnvWI5pGCCG44D8v4gfH38S2m7dzyj+dmrfqOlizgEzHYQIV\n2u8Vs34Rdtt+zCrvhWLOW05211MElnuJB8GlJ5B58VlCx6/zjEVOXEfvz79F8UWXaz2x0rM20fXr\nn1F67iW+xa3h+noqzjmXll/9Fwuu9hHavfynOQ/f/dXR32ZiR5K0dYhdRi3F5nyq7E4KhpW6Vyhe\nynNKGswtraOW7KreUYQwK40yUqKIAtnP+TUHCZsOi/BZd7cLlZiY/JxrcMK9vWYxjOzAAHs+/Unm\nX30NBQvHR28e2vYMwjQpON5LlR5B8rm/ET35dXradvM+RGkFRrGXnWk178Vs8H6fsr8TEY5qWz9Y\nve2EF57gef7FPzhhuRVv8hq8acHMdg2uwJH40VJ6pZRNQogm4J3AT3Vz/DCz3/arEJVLK1n3UccA\n3PnBO7At/2R4oKIeK96PndSLS5q1C7E6Dmmp2kb9QuzeDifZ6j7uwlVkm/cjk16qdrB+HkYkSuag\nntBQsOok7MQQyb3u6pFcNLz3fXTddSfJJv9eRvkQwmK13UKF3U2XUUOzOY9BUYxlT8xDkkCIIJWi\nnIXmfOaacwjINNXWAYrtrqNGaBYvD+xUij3Xfoqy176O6gsuHHsHHG+o57ZbKL/4Lb6LH5nNkNz6\nBJE1p2vHM3u2EVzqNRzStrGa92JoDJHVcQRDo+loJ4eQmZSnXUQ2lWXPnU7IduWbjkF+CGa0R4TD\nkHN3MXFjO/4i+r6Y9YiOAc783OvZ/qtttG1p57mfPscpH9AX/QnDJFg9j0z7QcILvHURIurQse3O\nI5h1Ljq2GXDyQYdf9HhFIhwhMH8ZmT3bCa32ekXRtWeQeOavhBZ5fy/CMCg772L67r6N6FL/iy1U\nVUXdO67g0I3fZfk33QKfAP8v9+Flox7Rj5Wo4QIZAyuGEEUMiVL+0lpDZWGC8sIEp4sUEZkhgMW9\nSEAgMBEiSDUhMiJCWkRZDAgZR9idIBMkGG0Po3pBa92EveRVyoNjnDD5PwA7nWbPtZ8mUF7OfD9P\nWYOhHVvIDvRR/FpND+xhJHc8S6BuLoEqjUSPZZF9aSuF73D3+3VyQCJSoNeR6zhI8HhvgWu2txWz\nvM5jFPfctYdkX4rqVZVULT9GpJWZTd8uxdv+y40BvCndMTHrER0DhApDnPcdRxvwgU//haFufREp\nQLCmkUzXEd/OrcacJVgtbs6YA7NxFdmDesHV4Iq1ZHY9qx2LrDmd5I5nsJP6bl4lGzcR3/4smS69\n+OoI6t9xBcnDh+h5+OG888YDKWNYdjMblx9gTtkgiUyAI6KCHWYDT5sLiZqLiZoLCZsNBEUFWREi\nJBNUWM0Y1gEMuwMhE7PyPK8QrKEhXvrkJxDBIIu/8EUtc00Hadt0/faXVL7lH/Luk3jiAaLr9LTu\n7KHdGGVVGGVe42Ad2aXt32XH+pw6PY16Sba7hUCFt/B12y8d+fOT3uMfPpwypugRCSFMIcQWIcTt\nw4+vE0I0DT+3RQgxFdHSNsDrduZiNV7B9jEx6xEdI6x62yqe+cFTHHr4CJs/8wAX//AS7TwjUoBZ\nXEm2q4mghqpt1i4ku+tJp41xJJfaZdQtRD5xp9MW2VXvEFi0iuQDv8Pu97ZMNkvKCS0+juSWxyh4\n7dne1ywopHTj+fTe8b/UvOeDvu/RCIVY+Olr2fu5z1J84okEy/RUdAC+NNq+4u1fHuXGfcM1LfO8\nDQwCg6gkXXepdj7agRpsyfGCcjwg8DDKjgHsVIpUezvpzg6y/f1Y8TgynXYEZk0TIxIhUFxCsLyM\nYFU1oaqqcd/EZwpSrS289MlPULjyOBr/7RMY4yAnjGDwsYdAyrydWDMth8l2thI5Xh9ZyLzwFMHj\nvLlSadtYh14kfM47PWNW237M2oUer8dODmGnhjBdzSuHuofYc/c+hCFY/c6x7sVTwNRdg2tw9IJH\nmBQS+I6U8jtTPrJzGV4phFgvpfT0oxFCrAcuACbYHGTWEB0zCCG48PsX88MTf8izP36ONf+4ljmn\n6EkJobpFJA9sI1CzwHNhiEAQs24hVsseAotOyh0zDAKNq7D2P49x0gbXfgECy9eQ3vkUEY0SccG6\nsxm883+IrjtLG5cvv+jNHPz4+6m49HICZf6edslJJ1N57nkc+Ma/s/RrXx9XX6a/V2T6+4k9/zzx\nF3YSf+klEvv3ke7uJlRdQ6i6ikBZGWZhIUYoDEIgs1nsZBIrNkimt5d0ZyfZ/n7C9fVEFiygYNFi\nChYvpmD5CiJz546pWv1KoOehBzlw/TeYc+W7qXv75RP6/u3EEF3/83Pqr7k273sbevQeCl53rpZ9\nZyfiZA/tInqOt/W43XEIES32LNKklNht+wkev96zT7a7mUBFved8dtyyAztjs+jcRorrjwFbbgRT\nWIMIIebidKX/KjAiXS6YPmrq9cDlwP1CiB/giKA249Q3XAD8M46ovXt9OSZmDVEe5GuLMB7UrKrh\ntKtfwxM3PMntV/2Jq57+AEbAe8EZxRUIM4jV26YNCZhzl5Peuhlz4QkeMUdz8YmkNv8PgRPWe5rt\nhVa/lqFbf0R43XnesaWrkNkM6f0vEl7sZQAFyiooOfNcem69hZr3+ntFAPM+8E/s/MBVtP32ljw1\nI6M9tevkqNjrDZUuYRklp/x7hWX+PtfRVM0Jd3AlqqbT9v+b8uB6phMym2Vw+zb6/vY3+p96kmRL\nC0Wrjqdo1SqqL7qIgiVLCNfPGRd9eQR2KkWypZnEgQMkDhyg+4EHOPKDm8gODlK4YiVFxx9P8Qkn\nUrR6NYEiL9vr5UKqtZVD//FdEvv2sewb36R4dT7RJT26fnczBatPJrrMn4Fm9XWT3PEs1Z/U5SGH\nvaFFxyMiBZ4xa//zBBZ6c69yoAtsG+GiZ0spyXQ1EVnklfvZ+gtHSvfEdx/DsBxMlYhwA/BvgKqm\nLIGPCCGuxNGy/ZiUcqw8jxZSyl1CiLcCv8HxvNyJwAHgCinl+Bq0KZixhkgIUYHTDHIBThuYt+k+\nwOGY53dxvsKfSim/kW//4ef/gFOK/ksp5Uf8zmH/gQMEAgGikQiFhYUUFBRM2DBt/NJZ7Pz9Ttq2\ndvDU955i3b94yQNCCEJzFpNu2atNkhql1Yhw1NGXc8mUGKVVGEVl2M17PbFws3oORnE52f07CS7J\nDScIw6Bw/SaG/nq31hABVLzx7Rz8+FWUXXgZoVqvgTx6DuEwS7/2dXb+4/soXLaMkjXenke5UKSN\nul3l/cWfPbqp5m3dDSxW5Bgbt3FXtdCm9ycuLYuB556j+y/30/vXhwnV1lJ+xnoaP/EpilaunJDR\n0cEIhylYuMhDe8709RHbuYPYjh20/Oq/iO96kci8+ZScfDLFJ51M8QmrCVZ45WimG+mODlpv+R+6\n7ryD2re9nSXXfQkjPHHZpsTunQw+8QiN3/xR3nnxh+8keurrMQq9XoiUNpltfyOyyRt6k+kkVvNe\ngmvO8YxZLXsx5izxhuXi/SBtD1uu5dkWWp9tJ1waYuVlXgLPwOBg3vcwIUzS6RVCXAx0SCm3CCE2\nKEM/YJSJ82Xg23iYROOHlPJOIcRi4N3AOpzWVX040oU3Syn1/WvGwIw1RMCngPullNcLIf4/e+8d\nJkd5Zf9/qjp3T85ROQckgRAgkXMyxhjDGmPAJthmAXvXuw4/e9c4fNdh7WUdCMY2YAx4bRNFziIq\nZ2kkjcLknHs6Vrq/P2rEqKd6gqQBCVvneeYZzbxvhdZU1an33nPP/ebAzyn90BVFcQG/wTYnaQLW\nKoqyXER2jLB9AvguQ7u6pcGUyZPRdZ14PE5vby8dnZ3k5OSQnZU1ZkLyZni5+DeX8JfL/8Ib332D\nOZ+Zk7ZVhCu3FGnYiRnuwp2mlbF7wmzM+u1p/bJc04/HqN6QNinrXXgq2sZ3HEQEtnou8sqT6K2N\neEqc9U7u7BxyL7qczj//gbKvfdcxfiD8ZWVM+/4P2f3d7zD7N/cQnDLO9vhHGNHd1XS+8AJdr76C\np6CA/HPPY94DD+ErHZ6gxxOenBxyl51K7jJ7ZWnpOtGqKsKbNtK+/Gn2/dePcGdlkzl/PqG5c8mY\nM5fgtGmo3qEmSgcPM5Ggb9UqOl9+kfD69RRcdBHzH3lsTLY9afcXi9J6z88p+uI/D+vgAfZqKL7h\nfQq+/pO040bNTvD6cZVOcm5bux21ZJJjpSSWidmyD+/Jzpyt3lGPp7DScW+vHeg9v/CGhXiCqbI2\nEaG7e/iOyweNYVZEKzbaXyNgKXCZoigXA34gS1GUh0UG3XAVRfk98OzhnuJA+4dfHO5+DoRyMJb+\nHyUURdkJnCEibYqilAArRGTWkDmnAN8TkQsHfv4WgIj8ZLTtFUW5AThhuBWRoigy9P8mmUzS3dOD\npmkUFhYSDATG/Hn+/MnHqF6+m1mfmsnVT/5T2jl6RwNGRwOBOU4LfLFMkm/9Be/iCx1SVDFNEs/c\nje/sz6LmFA4ZM4j8/ocEr/gSrjTtkyNvLMdobSTnmvThN0tLUvv1myn50r8SnLcw7ZwD0fnyyzTc\n8xtm33Mf/vKxOBMPMXZdO6i37j6gBGvo/3TgwJdwx2kdaBR36KFVMxaj69VXaH/mafTubgouupiC\nCy8ak4v0Rw2xLOK1tUS2biGyfTuRqiqSjQ34J0wgOHUagcmT8U+YgK+0DG9hIe7s7LSiCDORQGtv\nJ1FXS7S6mv4tm4ls20bG7Dnkn3ceeeeeizt06CFBEaH11z9BDYYovumOEef2Pf4H1ECIzEvS3y/R\nv92NZ+4SvEOECiJC8sUH8Bx/tqPswWzZh9m4E++JqTVOYhpEN75GcP4ZqL7Bqy3eE+d/yn6BkTC5\nrfo28qenrjrD4TCRaJTysjJE5LByMYqiiAy1RB9u7ikMezxFUc4A/k1EPqEoSqmItAz8/l+AE0Xk\nmsM5zw8DR/OKqFhE9rcDbQOcBQRQDhzoSNnIYGeB0bY/aAb2+XyUlpQQjUZpb28nIxQiLy8PdQxJ\n5It/cwk1r/2GnU/tovr5amZcMsMxx51fjtZUndb1V1Fd9qqobhvqkNoHxeXCPW0Rxq51eE+6aMiY\n214VrX+TQJoQRnDpuXT85OsY7c24i5xEpXp9FF73JdofvJsJP7kb1TPyG3bBBRdgRiPsuO1WZv3y\n1wQmOFdwqRhCVicO/nzQxQjjhOiuXbQ//RRdr79O1qKFVNx8C9lLTjqq1WyKqhKcMoXglCkUffJy\nAKxEgti+fcT27CFeW0P/tq1oLS1o7e0Y0Sguv98Oq6kuu19PLIaI4C0sxF85geD06RR/+kqm/+i/\ncGeOT4K+96VnSDbVM+GH/zviPKOticS2dRR+47/TjpttDVg97XhmOnM2VkcjmAZqGhWq2bgTV4Uz\ncmB0NePKzEshIYCND2zESJhMPmeig4REhN6+PgrH0OxvzBifS0xh8Pn2M0VRFgz8XAOMzQZ9tAPY\nwohySG+nLyJvH8z+jigRKYryKuDs3TvEx1JERFGUdMQx9HdKmt+NtP2IuPPOOz/495lnnsmZZ54J\nQCgUwu/309HRQXNLCyXFxbhHyQ1kV2Zz5g/O4tV/e5Xnb32OyTtudyzzFVXFWzYdrWkXgSznqshV\nOZvkO3/DPc0p5XbPOJ7Es/cjC053jHkXLCPywI+wwt2oWamPd9UfJHT6RURefpycz6d/Q81YvJTw\n26/T/dSfKbjq+hE/J0DxFZ9G8XjYceuXmf6Tn5I57+AT2R81rGSSrjdep+2Jx9E7Oym67JMc98ij\neIucfmMfF6h+Pxlz5pAxJ40RqGliRqNYmoZYpl0gHQigBgIfmvIxumkd3cv/woQf3GUrB4eBiBBe\n/ggZ53zSYdy7H8nVr+JdfBaKy3nfGbvW4p5xgjMHFOnFivQ6yiREBL2tFu+Q0LZlWqy7xw7LLbk9\nNbe7YsUKXn7lFZKJBJnjRNLAuFR2isgKYMXAvz9/+HschKIoF2CLItK5J9hV5/b3g6NUETkqv7A7\nFJcM/LsU2JlmzsnASwf8/G3gm2PZHjvZ9usRji+jwbIs6e7pkZraWkkkEqPON3VT7j3ubrmTO+WV\nf38l/T5NUyIbXxO9ryPtuFb1vmg7V6cdS65+UbRNK9KOxd96RmKv/S39eSXj0vaDfxatYd+w5653\ndcqeW66S+N7qYecMRfc778i6C8+X9ueeG/M2HzVidXVS9+tfybqLLpAdX71dut9+SyzDONKn9XeH\n+J5dsueWqyS2c9voc7eskY7//oZYhp523GhvkvC93xVLc95zZn+PxB6/Sywt6RjTtr8nWvU65/7C\n3RLZ+JpYlpXy+6onq+RO7pT/qfyFmIaZMmZZltTV10s0GhURkYHnxeE+80Q2ju1rPI53COd3MrY8\nuwm7M6MFvAn8Ftg+8PMz2OmSg9r30VeYMIjl2GTBwPen08xZB0xXFGWSoihe4OqB7cay/WG/9imK\nQm5ODgX5+TS3tBCLp3cq2A/VrXLp/ZeBAqvuWkn7NqdzgaKqeCtmojXs3P/HT4F70nzMxl2IlnCO\nzT4JY89GRHd20PSecBb6zg1Y/U7lpur1k3H+pwkvfyTtMQHcefkUXvdlWu7+KVbCeex0yD31VGbf\nfS/Nf3qYPd//HsZ4qosOA1YySecrL7Pjtlup+rLdr2Lub+9n1v/+itzTTj+qQ3AfRyTr9tH039+j\n+OavEZiZvsX3fljxGOFnHibrUzekXe0AJN9/Ee/is9N2WzV2rMY9dSHKkBCy6EnMlr24K50v8nrr\nPjxDiltFhHd/bNdsLv23paiu1EdlNBpFVVUCB5EnHhOObq+5b2NLUpeIyP7wyZsi8iVsR4UfYQvH\nHj/YHR/NRPQT4DxFUaqBswd+RlGUMkVRngcQEQO4DXgZu5r4L2Ir5obdfmAftdiqjxsURalXFOWw\nGotkZGRQUlxMW1sb0djwdj4AFSdVcMItx2MZwrM3P4NYacgmvxxMA7M3DVEFMnCVTMaoc7Z5UDNz\ncZVOwah2WvuooUy8804iuebVtOcVOPEMJBEnuXX4Dq1Zy84iMG0W7Q/dPSxhDUVwyhTmPfgQrmCI\nLZ/7LF2vvz7mbccTIkKkqora//kFGy+/jI7nnqPo8itY9MyzTLjtdvyVo+WyjuFQkNi7i8Yff4ei\nL9xKxuJTRp3f/8L/4Zu1EO/U9D6HRkstZlsD3gVO81OJRzHrqnDPdDowmA07UQsrHWFrKxnDCHfg\nGWJ+Wvd2Hc1rWwjk+Vh0Y2ojPhGhu6eH3Nzc8Q9jqmP8OjI4BVguIgcqjFQAEbGA7wE7OATjxqOW\niESkW0TOFZEZInK+DNQQiUiziFxywLwXRWSmiEwTkR+Ptv3A2CQRyReRTBGZICIjW02PAYFAgNKS\nEjo6OohG07tp78e5PzmPUHGQxlXNrLnb2RtIURS8lbPQGnakfWi7pizAbNiZflU0dynGzrXpV0VL\nzsHYtQmrx2kFpagqWZ/8POFnH8VKDr/iKfrCP5PYW03fay+M+BlTzjcQYPK/f4Np3/8hzX98kKpb\nbqJ39aoPnZBEhNiePTT89j62XP0Z9nzvP3BnZTH3Dw8y+1e/Jv/cc1E9R7fL5McZkQ2rafrpf1J8\n0x1knuR0MRiK5I5NJHduJvOS9EXRIkLy7eX4TrnQseIBMHauxjVxjqOtg5gGRn0V7jTdVvXWfXgK\nKlHcqdfB/tXQkttOwhtKPVYkEkFV1YNSzY4ZR/eKKBuoO+BnDfiA2QdClO+R2t9yTDhqiejjCL/f\nT0lxMe0dHcRGWBn5c/xcco/dAOz1b71Gb60zXObKKQa3B6OjwTGmBjJtD7rarc6x7AJcpZMxdjpX\nNmogA+/xZ5B4Pz2JeKfOxjt1NpFXnhj23FV/gLKvf4+ux/9ErGrLsPPSIWvRIuY99DDFV15F3f/e\nxbbrr6P96afGNWRnJRL0rV1L3a9+yearrmTXv38dK5lk6p0/YMFfH6fippvxl6W3WjqG8YFYFt3L\n/0rb735J2Te+P6aVkNnfR9/jvyf7n76EGnC6JAAYuzcjWgLP3CWOMYlHMfZuxjPXeSyzeQ9qZp7T\n6sfQ0Dsa8ZSk1ry1bWlj78v7cAdcLLk9tb24iNDT00NeXt6HI+rwjPHryKADyB3y89QhczxA+j/g\nCDhGROMMv99PSUkJbe3txEfIpcy+YjazPz0TPWaw/KZnHKsDRVHwVc5Ba9yV1pnbPWWBnStK08vI\nPe9UjOp1afsReU84A7NpH0ZzjWMMIOvSa0hseB+tfu+w5+4tKaPktm/Q8sv/ItlQO+y8dFBUlYIL\nLuC4R/9M5VdupXf1KjZefhk7vno7zY/8if4tWzBHybXthxgG8bo6ul57jfrf/JqqL9/C+osvpPH+\n+3CFQkz/0f9j4ZNPM/GOr5IxZ84/tA/eRwWjp4um//4ekbXvM+FHvyQwbfSot5gmfY/dQ+DEM4Z1\n+RA9SeKtZ/Cf+am0vnR61fu4Js1FCaYWi4tlYdZscfg0AuitNbjzShyS7RV32h2KF31xEcGC1Gdq\nuL8ft9v94ayG4GhfEVWTSjwrsdMfMwEURSkFrsBphDIqjtqC1iONdAWtB4NYLEZbeztlZWX4hqlu\nj7RFuHv2b0j0JLnsD5ex6IvOmojEng0o/hC+NLUP+q41YOh45jrj5dral0B14z3BaXGiVa1F2/g2\noWv+xeFdBxDftIrIq09S8LUfpQ2B7Ef43Tfo/PMDVN75czyF6VT4Y4MZjdK3di3hdWuJbN9GbF8N\nnrxcfMXFuHNycQUCKC4XlmlgxeIYfb1onZ1oHR14CwsJTp1KaOYsMubNI2PuPFyh0OgHPYZxhYgQ\nfvtVOh97gOxzLiL/is+N2e6o/4X/Q2+oIffmbw5rfpp4ezlWpI/gxU41shXpJfnSg/gvuQUlkPq3\nNxp3YbXsw3tian2dGDrRzW8QnLsM1T8YymvZ2ML9x9+P2+/ijr1fTWkHblkW9Q0NlBQX4/f7U/an\nKAoyHgWtdaPPA1AmDl/Q+mFBUZR/xxYklIpIt6Ioy4C3sd1qqoAZ2K7fXxCRPx7Uvo8RUXocLhEB\n9EcidHV1UV5ejmeYm3Lznzbz9HVP48v28s87bnM4+1rJGLFtbxOcd4bjzU20BMl3n8C75BLUjNQW\nDBKPkHjh9/guuN7hnSViEfu/X+KZdzLe+c5QhojQ98ivUbNyyfrkyGUIva8sp+f5J6n47k8Oi4xS\njm8YduuEtjaMvl7MWBwxTRS3G1fAjzs7B29hAd7iknGxsPkwYCUTGF0dGD3dmOE+zGg/Vjxmt4Aw\nDRAB1YXi8aB6faiBIK6MTFxZ2bhycnHnFhy1n20oYlVb6Py/BxDTpPimO/BPnj76RgOIr3+XyMtP\nkP/VH6T1kwMw2xuJPXEfoeu+gRpy2mNp7z2DkpmH57jU1IRYJtq7j+OZfwZqbuq1qTVVY8Uj+Kel\nChEeu+QRdr+wl5O/toQL7kolr56eHpKaRkmxs7Z+3IhojA2PlYojQkRZwBygSkTCA7/7FLaH3TTs\ngtm7ROSg+6scI6JhMB5EBNDb10c4HKa8rAxXGlmwiPDoxY+w96V9zLxsOlc//VlHCCnZuAuJR/BP\nd5qJGjVbsXpa8B5/vmNM3/YeVk8bvtOucIyZ7Y3EnryP0HXfSls0aMUidN71HbI+dQP+OSM7Dve+\nspzu5X+j/Nv/D1/5P5b6zNI0kvU1JGv2kKyvQWusQ2ttxIpGcOcV4M7Nx5WVgysjEzUQRPF6bVmy\nYoeNRNeRZAIrHsOM9GP299nk1duDGgzhKSzGU1yKp6Qcb1kF3rJKvOWVIxaEfhQQyyK6aS09zz2O\n0dVJ/pXXkrnsrINqVZHcvY2+R+8h98v/X1qvQ7DDdtHH/gfvotPxzjvJMW52NKK9+zT+T9yC4k4l\nbqNuO1ZnI94TLkjd5/7V0JxlqAcIGxpXN/KHk/+AJ+jmqzVfI1Q0uLoyTJOGhgYqysvxpBG4jBsR\ntYxxbulHT0QfJo5mi58jjqraXjxuFb/XRSjgJivowe06uLRaTnY2hq7T1tZGaWmps9+QovCJ+y/j\nnjl3s2v5brb/dTvzrk71YvWWTiW25U3McKejYZdr4hzMhh2YXc248lOT8O5ZS0g+/zvMtjpcxan+\naK6iCjyzTiD51tMELrrWcd5qMIOca26l9+Ff4bnj+7hyh7cxyTn/MlR/kMYffpPSr32H4KwRvWQ/\n1jAj/cR3bCW+cxvx6iqSDTV4S8rxTZ6Gb8IUMpYsxVtWiTs3/7D6B4llYfb1oHe0obc2o7U0Eln7\nHlpTA3pbC+78ArzlE/BVTMRbPgFvxcQPnaBEBK2+hv417xJ+53VcGVnkXnQ5mUvPPOjaK71hL32P\n3kP2528bloQAkqtfQQ1lpRcoWBb6+lfxLDzDQUJiaBj7NjtICEBr2Ys7pziFhADe+M5rACy5fUkK\nCYG9GsrMyEhLQr0RbfgPerD4B83aH1sRDQNFUSSW0NEMi3jSJBLXicQNMgJuCrL9ZIc8Y05+iwit\nbW24VJXCwsK02627by3Pf+UFggV+/nnH7Y4kqdHVjNZUTWDe6Y4HnNlWi7F7Pd6lzkSu2bALffNb\n+C660fGwED1J5OGf4T/rCjxT0hcaRt96gfimleTf+h8j5osAolvNprBmAAAgAElEQVQ20Hr3z8i/\n8lqyz73k70IcIIZBvLqK6OZ1xLZuQG9txj99NoHZ8wnMmI1/ykzUIfmCj+KctLZme/XVWE+ysQ6t\nsc4mqNx8vOWVeEsr8JSW4y0pw11Ygie/wCFRHg1WMoHW1ECiZjeJ6ipi2zahuN1kLF5K5rKz8E12\ntlIYC/SGffQ88HOyPnMT/jnHDzvPaNpH/NkHCV37b6gZ2c7x3Rswa7fjPfdax3nou9chiSje+Wek\nfiYtQWzrCoLzTkf1Dd5j+17bx5/O+xPeTA9fq/0XAnmDYXBN02hqbmZCZaUjqqHpJjvr+1gwLX98\nVkSdY5xb8Pe1IjpGRMMgXWjOtITeiEZHTxxLoDQ/QE6Gd0w3o2VZNDU3k5GRQW6altpiCX8860Hq\n3m5g9hUz+czjVzsqvRO7VuPKLsRbmqqYFBH09S+hFlTinjTPMaat+Ctq8UQ8c5y9kIz63cRfeoSM\n676ZtrmYiND32D0AZF9z66ifVWtpovmuH+KrnETRF2/DdRhOzUcKZn+Y6Ka1RDeuIbplPZ6iUkIL\nTiC4YDGBaTMP+oH+UUEMA72tBa25Aa2lEa21Cb21Gb2jDaOn285BZefgzspGDWag+v32y4WigGVh\naUmsWBSzrxe9uxMr0o+npAz/5Gn4p80mOPc4PKUVh/WCodVU0/vH/yXrMzfinzt83yorHiX6yM/x\nn3Nl2pekD3Kg51yDmlPkGEuufBrfKZc7aooSNVtQVBe+iYP7tEyL+xbcS8f2Ts7+r7M57duDuSYR\noaW1lWAwSE52KhmKCPua+wn43JQXhsaHiPpGnwegZB8ZIlIU5STgm8AC7M6sQ6NqCnZJ0UEtkY8R\n0TAYKUckIoRjOs2dMVRFobI4RNA3epTTMAwam5ooKCggI42yq6emh3vn34se1fnUnz7Fcdem9hCy\nEhFi2991vM2BrRzS1jyPb+nlzurx/h6Sr/wxrXABIPHGE1ixfgKXXJ/2ISNaku7f/hfe6fPIvPAz\no35OK5mg45HfE924mqIv3kbG8c7Y/tEGrbWZyLqVRNevJFm3j8DcBWQsWkJo0RLcuR9+w7kPG2KZ\nmL29GH09mP19WNEoVjKB6NqAcEK1RRPBEK6sbDu/lZfv6Ox7OEhsWUPfkw+S89lb8c0c3ghXLIvY\nU/fjKijFf8Yn085JvvMkamYenoVnOsa0TW+gZOTgGSJEsGL9xHa8T+i4s1JW9+t/t57nbnmOrMpM\nbq++A7d/8F6ORqN0dXdTWeEk4O5wktbuOLMmZONyqeNDRJExzs04ImKFK7GbjSrYha1NgLO2xCai\nsw5q38eIKD3GIlYQEbr6kjR3xSjI9lOaP7pzcSKZpKWlhbLSUnxpOltu+MMGnr3pWXxZXr6y7Vay\nK1PfwrSmasxIL/4ZJ6YPR8TCeBec7divXrUKq7UG71n/5NhOdM1OCC8+C+/c9KRhRcJ03f19Qqdd\nSHDpeSN+xv2IbdtE2x9+hbdiEoWfuwlvydFTSCqWRWLfbqLrVxJZtxIzEibj+JMJnXAywXkLj7gY\n4O8JYllE31hObNUb5H7hX/GUTxpxfuLd5zCbawl++ivpeybV70Tfsj/cnPoCaHY1Y2x/B++yTzvG\n4jtXOSIKyf4kv572S6LtcT79508z758GIwqWZdHQ2EhhQQHB4JBQuWlRVdvL1LJMQgHP+IkVRnYI\nG5wbPCJEtB2oBC4WkXfHc9//oKmx8YGiKBTk+Jk1MYdYwmBXQ5ikZo64jd/no6CggNa2NgzTOXfR\nFxcx/ZKpJMMaT1//lMOLzlM6FSsRxeh2ymvcUxYifZ2YHfXOsVlL7PbJezc7P4fHS+Di60i+vRyz\nM71sR83IIvembxJ541ni68bWaiQ4byETf3of/qkzqP+Pr9F6/11oLU2jb/ghwYxF6V/9Dq33/YJ9\nt36Otnt/bkuOb/4qU+5+lOKbv0rG8ScdI6FxhBUJ0/vgL0ju3Ez+7d8flYS0qjXouzYSuPSGtCQk\n8QjaulfwnHSJg2jEMjF2vI971smOMaOnDSsZw1Oc2ijv3R+/Q7Q9TvmSUuZenRoC7O3rw+f1OkgI\noKE9Sl6mj1BgnMO0R3dB61Tgz+NNQnBsRTQsDla+LSJ09CZo7Y4zsTiD7IyRE/td3d0kEgnK0ijp\nIm0R7pl7N/GuBBf+8kJOuiN1lWL2d5PYvY7g/DMdAgKzqxl929v4ll3hUBJZvR0kX38U3wU3OOqO\nALRtq9HWvU7omn9F8aZPwBvtzXT/9sdkXvQZAotPTzsnHcxIPz0vPkXfq8/jnz6L7HMuJnTcCWMu\nejwUiGGQ2FdNbOtGYls3kKjbR2DGHEKLlhBadCLe4qNnhfb3iETVRsJPPEDg+GVkXHjlsG7a+2HU\nVxN/4WGCn7kNV76zJs3Od/4FNb8Mz3HOa0/fswHp78a7KLWIWyyT2JYV+CbNx31APql7bzf3zL0H\nM2ly48obqTh5UL2n6zqNTU1UVFQ4agB7IxpNHVFmT8xBVe17d9xWROkCXenmuo/IiqgeeEaG6Wp9\nWPs+RkTpcah1RJG4Tk1zP4W5AYpz/cOG6vYr6dwuFwUFBY55O57cwV8//Vfcfhdf2vhlCmalyqeT\ntdsQU8c/1Vnjo297B1QVzxyn44JetQqraQ/ec65JKy+Ov/oXJB4l8Ikb0rouwAAZ3f8TQmddSmiZ\ns35pJFjJBP3vr6DvzZfRW5sJLTqR4ILFBGfPP6xcjIhgdLaTqN1Dcm818d07SOzbjbe4jOC8hQTn\nLyIwe/6x1c5HALO3i/5nH0VvrCX7qpuHddJO2aa1nthT9xO49AbcldPSztF3rMGs34HvvGsduSur\nvxtt7Ytpc6RaYzVmrI/AjMGW4iLCoxf+ib2v1DD/c/O44pFPp4y1trbiDwQcwiLDtNhR28uk0kwy\nD2hsOW5EZI1xrnpEiOgXwCXAcSIyjpr1Y0Q0LA6noFXTTfY19+P3uZlQHEIdhowsy6KxqYns7Gyy\ns5wV409d9yRb/rSV0hOKuXHlzbg8gzefmAaxrW/hmzgX95CqcdGTJN9/Cs/c03AVpLbiFstCe/P/\nUIsm4Jl/quOYYhjEHr8bV+U0/MsucYzvh9HdTs/vf4Z/7mIyLrrqkGpm9I42IhtWE9uynviu7aiB\nIL4Jk/GWVeApLMaVnYcrFELx2u2ssUxES2JGo5jhXozuTrvOpq0FrakexefHP2kqvqkzCEybhX/6\n7I+lau/jCisWJfrWc8RWvUlw6blknPUJ+283CvYXV/vP+yc8U9PXoJkdjWjvPIHv/OudLiKWhbb6\nWVwVMx39hqx4hFjVuw5nku1/3c7jVz+OL9vL7dV3pNQNRSIRunt60goUalr6cbtUKofUGY0bEcnY\nXpQUJZlyPEVR/MBb2K27vdgrl28ripKHLTCYCNQCVx3YieAgzy+E3QivBfiqiNQeyn7S7vsYEaXH\n4TormJZQ09KPCEwpy8Slpr9GdV2nqbmZ4qIiR5OtRF+Ce+ffQ7ihn6XfWMp5P00VCZjhLhJ7NhCc\nf4YzRNfZiL79XXxLP+VoICaxfhIvPYj31E/hKkrtwwK2uij62F34TrkQb5pCwg/mRfvp+eNdqKEs\nsq++BTWN/HusEMtCb2sh2VCD3tKE3tmO2deDGY3YtjiWieJyoXh8uEIhXJnZuHPzcRcW4S0px1tW\niSvTSeZHEqJrWNF+rFgUScQQXUN0HayB3KCigMuN4vGgeP2o/gBKIIQazPhQQ5bjDbO3i9j7rxJb\nvQL/3BPIOP8KXDljW92arfXEnv6dLdOeviDtHIlHSL78EJ4TL8BV7rQPMvZuxOppxXPChc6Sh50r\nceUUpwoUwkl+M/NXRFpjXHLvxSz+8uBKyTRNGhobKS4uJjCkPqynP0lzZywlJLcf40dEY/NJVJSo\n43iKogRFJKYoiht4F/g34DKgU0R+pijKN4FcEfnWYZzjImwyygR6gbSCcxGZku73w+73GBGlx3hY\n/IgI9W1R4kmDaRVZw7oyxGIx2js6KC8rc1Ru179bz0NnPIRYwrUvX8vU81NriJJ127GScfzTT3Cq\n6KreR/Qk3gVOJaXZtAd97Uv4LvyCI5QBYHa1Evvbb/BfcA2eyekdkcG2Swk//TDavh3kXHsHnrJ/\nHIsfEcEK92K0NWK0N2N2tmJ2tWP2dGL29SC6hhrKRA2GUHwBFK8PxeOxV3e2xw+Yhm3zoyWxEjEk\nHsWKRVF8PtTMHFxZuajZebhy83HlFuLKK8SdX4SanXdYzg2H/dm1JMkdm4ivfxettprACcsInnYh\n7ryi0TcegFFfTfz5h/GfP/xKSEwD7fXHUEsmO7zkwM57ahtfsWuGhlzHensdens9gbnLUsLML97x\nAmt+vZbyJaXcuPJmlANIpb2jAwUoLCxM3ZdhsaOulyllmWSkESiMHxE5C3fTz+0b9niKogSxV0c3\nAE8AZ4hIm6IoJcAKETmkRqCKopyG3YTUD5hAG8PLtyen+f3w+z5GROmhKIq8sTWO1w0Br0pmQCEn\nqJKboeJ2jf16ExGaO2P0RXWmV2Thcad/ePT29tIfiVBeVoY65AHz1g9XsOI/3yJYGOArW24lo2Qw\n3CSWSXzbO3hKpzq6TIppoK18BveUBbjKnHF3ffNbWJ1NtqQ7zUPNaK4h/szvCVx2I+7ykV9w4uvf\nJfzso2Sc80mCy84/og/JDwtmbxd6wz77q7EGvdm2SvaUVOAqKsNdWIorrxBXbgGunHyUQOiQij/F\nsuxuo/29WH29mH1dmD1dmD0dmN0dmN3tWNEIrtx83AUluPKLceUX4covwp1XhCuvcFQXjEM5J6O1\nEa1mF1r1VrR9O/BUTiVw/FJ8xy1BHUbcMhy0qjUk315O4NIv4K4Y2tJm4Jgi6CufQ0wD76mXO8sO\nDM2+vqcvxlWS+tyzknFi294mMPsUXAe0hmh4v4EHTn0ARVG4Zf0tlCwcDGvH43Ha2tuprKzEdcD1\nu79w1e91UV7ofGmr6zCYVOQZJyIa20pSUbrSrYhUYAO2uu1eEfmGoig9IpI7MK4A3ft/PoTzew9Y\nDNwIPCZjzmiNYd/HiCg9FEURw7TQDCGWFMJxoTdq0RezyA2plOa6KMhSh83/DEVLV4zucJLpFVl4\nPWlkqSK0d3SACEVFRSk3nWVaPHzOQ9S91cDksyfy+VevT3mLM6N9xHeuIjj3VNShxazhLrR1L+E9\n6VLU0JDKcMtCW/FXlOyCtO0iAIzancRffITAJ2/EXTbyS47R2UrfX+4HEbKu/CKeEmfY7+MCsSyM\ntia0fTvRa3ah1VYjho53wlTcFZPxVEzBUz4JNSvniFgZia5hdLVjdrZhdrVhdLXZq7HuDszeLlR/\nEFduAWpOnr2qyspBzchGDWWgBkIovgFXBbcbe3UmYOh2kWssghXpw+zttvfd3ozR2oianYt30gy8\n0+bim3ncsG7ZI563ZZJ851n0PVsJXn5zWnXcfuib38JsqcF37uccbhYigr5lBYrbg2fuqY6xxM5V\nuLLy8ZbPGNxfTOfe4+6hZ28vS//9FM772aDQZn/NUEF+PqEhxeZdfQnaexLMnJDtCMl19JnsatE5\nbXZgnIjI6ewNsGKFxooVg/qA73/fGZo7YD/Z2CuXbwNPHkg8iqJ0i0jeIZ5fBHhCRK4/lO1H3Pcx\nIkqP4UJzhil0hC2aug2SujCh0E1ZrmvYHNCBaOuJ09GbYMYwZGRZFs0tLYRCIYdap7+5n3uPu4d4\nV8JhQwKgte7D6GwiMGeZYzVi1O/AbNyJ96RPOGsvtDjJl/+Ie84puKemj9EbNTuIv/Qogcu+OOrK\nSCyL+Ko36H/lCQILTyHjvE8d0gPro4aIYHa0oO3ZTnJPFdreHaiBIN4ps/FMnol30gxcBcUfC/88\nsSys/l57FdXXhdXXgxXuxYyEbZJJRJGE7aqwvyWFoqjg8aB4fbb9T0aWLRbJL8JdVIa7pAI1cHh9\nnqz+XuIvPAxuL8GLP+/oHXQgjF3rMKrX4TvvurTWU0Z9FWbjrrTXtNa6D6OrmcCcpSkhuZe++iKr\nf7WGgtn5fGnjl3Ef4IbS2dmJaVkUF6WGFpO6ya76PqZXZBEY4p4SS1qs26uxYJKXnJBrnIiofPSJ\ngKI0jXg8RVH+A4gDNwFnikjrQOO6Nw8jNNeKvRL610PZfsR9HyOi9BhLjqgvZlHTbhBJWEwt9lCS\no476oBqNjPbbABUWFDjezKqfr+bPl/4ZxaXwhXe+QOUpgysOESFRvQY1kIlvQmpOx357fBPF5cEz\nL02cPdxF8rVH8C79JK6SSWnP26jbRfyFP9k5oynD54w+2GckTOSVJ4lvXkXw5LMJnnYBrjTGlUcK\nIoLZ3YG2Zzva3h1oe6tAdeGdOgff9Ll4p84ec8L9GEaGiGDs2kBixVN2O4cl5w5bGgBg7N2MsfUd\nvOdem7bezeppQ9v0Gt4lzlW+GQsT37HS0fCu7u06HjrzIRRV4abVN1F2wmAN2QchuYqKFFNTEaG6\nIUxOhpfivFQhkWkJa/doVOS7qMh3j2OOaOLoEwFFqRuqmisADBHpVRQlgL0i+j5wAdAlIj9VFOVb\nQM6hihUURXkAWCAiw5sEHiKOEdEwOBixQm/UYneLjqLArHIPGf6R8yNtPXE6exPDhukSiQQtra2U\nl5XhHdIc7eV/fYlVd60mszyDL234corsVPQksW1v45t0HO7c1CW+GBraqmdxTZzrkLgCmG31aO8+\nhe/sz6Lmpk84G821xJf/Ad+yi9M21Eu7TXc70TefI7F5Ff55JxI85WzcFVM+8pXFB8Szb8cA8ewA\ny8Q7ZTbeaXPwTp2DK7/oY7Hi+TjBCveQeONxrL4uAhdcg6tkZDGLsXcL+pa38Z3zWdQs54uAJKIk\nVy3HM/dUXGlyovHt7+ApnZaSL9UiGvfOv5ve2jCnfedUzv7ROYPntz8kV1BAaIiDQktXjEjcYFp5\npkONt71BR1VgdoVt7zN+RDRj9ImAolQPJaL5wB+x3XJU4E8i8t8D8u2/AhM4fPl2EfAe8Crw7yIS\nPZT9pN33MSJKj0NxVmjqNtnXZlCZ72ZikWvE/FFrd5yucJIZwwgYwv399Pb2OhrqmZrJQ2c8QOOq\nZiaeMYHrXrse9YDtzf4uEtXrCMw7zWmMGrWNUb0Lz0XNdcaijboq9A1v4Dv3c6iZ6fOZZk878afu\nxz11Pr7TLh2zKaYVCRNbs4L46hXgcuE/bgm+OcfjqZj8oQgbrEQMo6kOvWEvWv1e9LrdAHgnz8I7\nZRbeaXNwFTpdLY5hfCBaguS6N9E3vYP3+DPwLj5nVEm6Ub0eo2ol3rOHISFDR1vzPK7SKbgnH+cY\nT+zbBJaFb+qilL/r/nq8onkF3LL+y7i8g9dse3s7KApFQ1RykbjOvuZ+Zk3IdrwsNnQaNPeYLJ7q\n/SAkP35ENHq0wZ5bdSQKWt8EcrCdt6NANcPLt52GlyPt+xgRpcehyrcTmrCjSccwhXkTPAS8wz9k\nW7pi9PRrzKhML+3u7OpC0zRKS0pSbqz+5n5+u+heou1xTvn6KZz/81R3A61lL0bX/nxR6k1kdjTY\n9UUnfcJhkQ92jxejapUdFknTlhlA4lFiLzwMlkXg4usOKgckIuj1e0luXUty52bMcA/eSTPwTJiK\nu2wC7qIyXDkFY6qjEcvCioRtuXRnK0ZHC0ZbE0ZrA1ZfL+7SSjyVU/BMmIpn0nRcuel7QR3D+EG0\nBNrm99DWv4l74ix8yy5GzRo5Ny4iGFvfsXsLnf1PaR3ixbLQN76K4gvinnuqs1ShvR6tZS/Beael\n5Iw2P7yZp69/GnfAxS3rvkThnEHCiUQidHd3U1FRkaJUNU2LHXV9VBSFyBli1dUbtdhSr3HiVG/K\nvT1+ROQk2PRztxwJIhqzSk5EDurt8hgRDYPDqSMSERq6TGrbDWaVeyjKTr9qEBGaOmNEYra02zWE\njGSgF4rX46GgINXip/atWh4+52HEFK7865XM/czclO2SezaAy4Vv8gLHTWvUbsVs2oP3pEscfnQw\nYKWyewO+c69BCQ5DRpZFcuVL6NtWE7jgs7gnHVL+EzPcg16725ZEt9RjtrdghrtRAxmoGZl2/Y3H\nM+Bpsr+1dhwrFsWKhlEG1GHu/GJchaW4i8vxlFbiKig56K6hx3DoMHva0besRN++BtfEGfhOOh9X\nQemo24lpoK95EauvE98ZV6UVMIgIxvZ3kUQUz/HO0gAz2kt852qCc5aiBgZfirqqu/jtovvQYwaf\n+N2lHH/TYGpjfy62pLgY/wGFqyJCbWsEl6owoTj1RS2pC2v3JJlV4aEgM/XaGj8iGr5RYOrcDcca\n4/0jYDwKWvtiFtvqNYqyXUwtcacN1YkIDe1REprJtPIshzzUNE2ampvT2gCt/J/3eeXrr+IJebh5\n7c0Uzh5827Pj5e/iLpqAtyRV6SYiGDveR2JhPMdfkDY0pu9Yjbl7gx0mSZMw3g+jvpr4y4/hnjwH\n/2mXofgOv1upmCZWJIwV7UeScduNQAQUxXYh8Pk/UHYdDU3qJBnH6u3E6uvGivQg/X1IrB8rFkES\nMdDitjuEoYFpgux3XVdBVe3Vn9trF7x6/Sj+oP0VzEAJZqKEMlEzclAysu3vR4lfntXfg7FnK/rO\nDVh9XXjmnIh3wTLU7LGJPCTWT/KdJ1GCmXhPuTTtS5GIYFSvweppw7v4Isff29KTxLe9g2/iHNx5\ngwIEI2nw+yX307algzlXzebK//vMBy9kIkJzSwvBQIDc3NTVV2dvgo5ep1TbsoQNNRp5GS6mFDtX\n6+NHRMM7maTOXXOMiP4RoCiKvLrFxOuGkA+yAgq5GZAbYkxS7f3QDGFbvS1kmDfBgydNMez+tzDT\nEqaWZTrDDgM2QEVFRQQPsAESER6/+m9U/W0HedNzuWn1zQRyB8etRIx41bv4pi7CnZ0aAxfLQt/0\nGnh8eOadnjZkZcfsV+E962rU7ALH+Af7SsRIvL0co24n/jMuxz3duQr7e4Ak45gdzVidzZidLVhd\nbVg9bbaDQnYBanYeamYuSkY2SigLJZAxQCoBFI/Pfoi63KCqfOCsYFmIqYOuIVoS0RI2+cYjSCxq\nE1o0jET6kEgfVqQXXB67Lihr4HhZeahZuSiZOfbPocwRVWmH9NlFkEgvZms9ZtM+jPpqJBLGPWUO\n7hmLcE+ceVArULOlBm3ls7hnLsY955T0DRlFMPZswGqvx3vixQ4CFsskvmMlruxCfBUzU8aevfkZ\nNvx+EzmTsvjSpq/gzx58Qeru7iaRTDpC3rGkwZ7GMDMqs/F7Uz/LriadhC4cN9HjONeGTmFC4Tg1\nxpOlY5z7/jEi+keAoijS1W+R1CGahHBc6IpAJAGFWVCZp1Cex5hcFiwRdrcYdEcsFkz0EPQ5HxIi\nwt7mflyqwqSSDMfFvl9iWlZamqKk0yIavz/5d3Rs72Ty2RP53EufTzFHNcOdJHavJzAkbAEDzgvr\nXkTNKsQ966T0ZFSzDX3j63iXfQpX8SiKp4Y9JN58AsUXxHf6J3CXThr1/+ZohegaZlsDZmvdwPcG\nJBbGlV+KWliGml+Cq6AUNa/YJp2PiHhFBIlHkf4erHA3VrgHCXdj9fdi9fcg4R5Ei6OEslBDA4QY\nyrI97AIZKP4A+AL26sPtGSQPEbumSNdsMoxHsCJh+zi9nZhdbSguFVfxBFxlk3BVTsdVMvGghSZi\n6Hahav1OvKdcOmy5gE1C67Ha6/AuvhjFF3CMJ/duRMTCPy3V3mrdfet4/ivP4/a7+MK7X0yRau+3\n06ooL8d9QB7SNC121vdRkh8kPyuV8Jp7DGrbTU6c5nW8SDZ2CxtrhMsWj1cd0dhaqyjK28eI6B8B\nw4XmNENo6YGGLqGzHyYUwIxShQz/6NdEY5dBTbvBcRO9ZAedN7BlCXuawvi9LiqLnPYw4XDYVtKV\nl6co6XrrevndifcT64hz/C2LuPS+T6Rsq3c0oDVVE5h7KupQA1Q9ibb2BdTCCXimpy8PMFtr0N5b\njmfR2binDN/iGQZWWtvXkFz5Eq7CMrwnnTeqI8ORhogg/T2YzTUYzbWYzTVY3e022ZROxFVSiat4\nAmpu0cfCukgMA4n0YkX6kGj4gDBhdCBUmET0JGLoYFkftApXVBd4vHZ4MBCyySwr117t5RejBg+v\nMNlsb0Bf8wJqTjGeE89H8aU3ybXrjlZjdbfgXXwhijfgmJOs34HZ30Vg9ikpgpz69+r541l/xNIt\nLv/j5Sy4brBIe39eaKjBsIhQ0xLB7XLmhcIxi021GsdP8TrKMjr7hfd3CafNVsjLGK8V0djaqijK\nK8eI6KPAWO3LFUW5EPhf7L6FvxeRn460vaIo5wE/xrZK17D18G+m2e+oOaJYUtjbJuxrh5JsmFOh\nkBkY+droDJtUNerMrvBQmJWmDbJpUd0YJivkpbzAeaN2dXV9EFY4UOnTuKqRh858EDNpccFd53Py\n11LrfJKNOzF7O+wbd6i7QjKOtvYFXCVTcE9z9jcCsPo60d76G2r5NDyLzh5Vti2Ggb5tFcn1b6IE\nQngXLMMzY6HDCfxIQAwds70Rs7kWs8UmHkRwlU7CVT7Z/l5ceVTkn/4eILF+9E0rMNvq8C4+D1fl\nzOHnWib6tneQeD/e489Pe71orfvQ22oJzlmWMh5uCnP/8fcRbY9z0h0ncuEvLx7crwhNzc2EgkFH\nXqi9xy6lmFmZmhdK6sLavUlmlDoFR+GYsGKHsGSqQknOeNYRXTz6REBRXjhGRB8FFEX5GaPYlyuK\n4gJ2AecCTcBa4LMismO47RVFWQi0DlhezAVeFpEKhuBgxAq6KexpheoWoTIf5lUqeN3DXyPhmMXm\nOo0pxW7K85yJT92wyaggy+eo6BYR2trbUcDhSbf1z1t58ponUVSFq5+5mpmXzkzZLlmzGdES+Gcs\ncbzZSzKGtvZF1OJJuKcdnz5mr8XR3n8WtASeZZcPK+9O2cAVGCsAACAASURBVMayMGqq0Le8j9G8\nD8/kubhnLLBzCh8BKYllYfW0Y7bVY7Y2YLbUYXW1ouYV4SqdhLtsEq6yyShZeX+Xe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s9e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\nSUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_mp(z, dp, rfb=rfb2);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# ... do you agree that this is fun? :-)" ] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.11" } }, "nbformat": 4, "nbformat_minor": 1 }