{ "metadata": { "name": "", "signature": "sha256:0c0c0593d65d052141144346fef7248340a259713999a85dae0dbda91976badf" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Monte-Carlo Glauber Model Simulations of Nuclear Collisions" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Chad Rexrode** \n", "Cal Poly San Luis Obispo\n", "\n", "A senior project completed in collaboration with Dr. Jennifer Klay\n", "\n", "June 13, 2014" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Abstract" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In order to understand the geometry of nuclear collisions, an iPython-based simulation of the Monte-Carlo Glauber model was created. The simulation utilizes nuclear charge density distributions to create nuclei and cross-section data from the Particle Data Group to generate large samples of nuclear collisions. The simulation correlates the number of nucleons participating in a collision as well as the number of binary collisions as a function of the impact parameter for each event. Good agreement between the program and expected results for Au+Au collisions at beam energies $\\sqrt{s_{NN}}$ = 200 GeV is demonstrated. The program also makes predictions on future RHIC experiments including He3+Au collisions at $\\sqrt{s_{NN}}$ = 200 GeV. Individual collisions can be visually represented, demonstrating the event-by-event variation of particular geometric overlaps, which are obscured in the ensemble data." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Introduction" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The nucleus is composed of a bound state of protons and neutrons, collectively called nucleons, which are held together by the strong nuclear force. In the collision of nuclei of different elements, the interacting nucleons are scattered and transformed according to physical law, but the events occur so rapidly on scales so small that it is nigh impossible to preemptively determine how many nucleons will interact in the collision. The Glauber Model, developed by Roy Glauber, is a technique used to predict the number of binary collisions and participating particles as a function of impact parameter, the vector joining the centers of the two nuclei.[1]\n", "\n", "The two types of Glauber models include the Optical-limit approximation and Monte Carlo model. The optical approach makes several assumptions about the colliding nuclei that allow one to create analytical expressions to describe the impact and determine the number of interacting nucleons along with the number of binary collisions. The Monte Carlo Glauber model follows a more stochastic approach by distributing nucleons radially following a nuclear charge density profile unique to each element. The nucleons are given random azimuthal and polar angles. The separation distance of nucleons in the two overlapping nuclei is then compared to the inelastic cross-section to determine which individual nucleons participate in the collision. This approach assumes the nucleons travel straight throughout the entire event and can collide with many opposing nucleons without altering their paths. The simulations in this report exclusively use the Monte Carlo approach to Glauber modeling." ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Monte Carlo Approach" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The Monte Carlo method is a geometric approach that requires the nuclear charge distributions in order to build realistic nuclei to collide. Several methods can be used to create this distribution (listed below) all of which are well defined thanks to De Vries\u2019 et al. 1987 paper \"*Nuclear Charge Density by Elastic Electron Scattering*\".[2] An example is the two parameter Fermi model that is used to create 197-Au nuclei, where a Woods-Saxon density profile is created from a mean field potential on the nucleons. The equation describes the force felt by each nucleon, and the potential can be utilized to map out a probability function for the radial position of each nucleon. \n", "\n", "In all methods, a distribution function, $\\rho(r)$, is sampled from to give each nucleon in the nucleus a certain radial position, $r$. The nucleon is then assigned random azimuthal and polar angles that allow the nucleus to be built in a three-dimensional, spherical coordinate system. In order to reduce processing time, the spherical coordinates of each nucleon are converted into cartesian coordinates and saved in the nucleus arrays. When sampling from the radial distribution, the `distribute1D` function samples $4\\pi r^2 \\rho(r)$ so that no radial position on the sphere is more likely to be chosen than another. The polar angle is obtained from transforming a uniform sample on the interval [-1,1] with the arccosine function and the azimuthal angle is sampled from a flat distribution over the range $\u2013\\pi$ to $\\pi$. This gives an even distribution over the entire sphere that prevents oversampling near the poles. In essence, sampling in this fashion is the spherical equivalent to sampling over a uniform function in one dimension." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The interaction distance at which two nucleons can be considered to have collided is also needed to run the program. This distance is directly related to the inelastic cross section of the nucleons, itself a function of beam energy. Since we are only colliding ions, we need to understand the most basic ion collision: proton-proton. If one can accurately model a proton-proton collision, then one can model heavier ion collisions as a conglomeration of many individual proton or neutron collisions. The particle data group gathers large amounts of data about elastic and total proton-proton cross sections from many experiments, and compiles all this data in one compact source. This program pulls the data in real time and fits curves to both elastic and total cross section as a function of beam energy.[3] The proton-proton inelastic cross section, $\u03c3_{inel}^{pp}$, is given by the curve of the total cross section minus the elastic cross section. The cross section is converted to a radial distance using the equation that relates area of a circle to radius: $\u03c3_{inel}^{pp}=\\pi r^2$ or $r=\\sqrt{\u03c3_{inel}^{pp}/\\pi}$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This program correlates number of interacting particles (\"participants\") and binary nucleon-nucleon collisions to the impact parameter, $b$, which is simply the distance between the centers of the nuclei during the collision. Because we are assuming every individual nucleon travels straight throughout the collision, the impact parameter can be drawn as the distance between the centers of the nuclei when projected onto a flat plane. \n", "\n", "The extracted participant and binary collision data can be used to gain insight on the geometry of nuclear collisions, such as those taking place at the Brookhaven Relativistic Heavy Ion Collider (RHIC) and the CERN Large Hadron Collider (LHC). A common application of the Glauber model is to correlate the number of produced particles (\"multiplicity\") observed by an experiment with the impact parameter of the collision by mapping percentiles of experimental multiplicity with percentiles of simulated participants/binary collisions. The monotonic relationship of number of participants/collisions with impact parameter is the fundamental assumption. Figure 1 shows the Monte Carlo Glauber results for RHIC collisions from Ref. [1], upon which this program is based. The relation between number of participating nucleons, $N_{part}$, number of collisions, $N_{coll}$, and impact parameter, $b$ for gold-gold (Au+Au) and copper-copper (Cu+Cu) collisions at center-of-mass energies, $\\sqrt{S_{NN}}$, of 200 GeV is evident.\n", "\n", "" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Program Details" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The code is entirely open source, native to iPython, importable, and freely available on Github at https://github.com/MCGlauber/MCG. Emphasis was put on accumulating all the necessary data needed to run these types of simulations with ease of use. The following steps outline how to run the program for Au+Au and Cu+Cu collisions at 200 GeV to reproduce the results seen in Figure 1. " ] }, { "cell_type": "code", "collapsed": false, "input": [ "%pylab inline" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] } ], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "from GlauberModel import *\n", "#Imports the main library file" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "2014 total cross section data is unavailable. The Particle Data Group website may not have the latest data or may have changed format.\n", "Using 2013 data for total cross section.\n", "Using 2013 data for elastic cross section." ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n" ] } ], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The Particle Data Group does not regularly update the files with new data, so quite often we will be using data that may be up to a year old. Because there is already a vast storage of data, not having the most cutting edge information does not make a huge difference in the end results." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `DisplayData` functions displays the most recent data downloaded from the Particle Data Group website as well as the curves fit to the total, elastic, and inelastic cross section. The inelastic cross section data is found by subtracting a best fit of the elastic cross section data from the total cross section data. Several points from TOTEM and ALICE at CERN that directly measure inelastic cross section are shown for comparison.[3,4,5,6]" ] }, { "cell_type": "code", "collapsed": false, "input": [ "DisplayData()\n", "#(Ref [3]: Beringer et al. PDG)\n", "#(Ref [4]: Abelev et al. ALICE)\n", "#(Ref [5,6]: Antchev et al. TOTEM)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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MHj1afPzxx6KystLiOStWrBBdu3YVfn5+omfPnuLzzz8XKSkpokOHDmbbffjhh6Jjx47C\ny8tLeHh4iE2bNgkhhPj5559F3759hb+/v7juuuvEe++9J9LS0oSHh0etfSWipomXgScixUpLS8Os\nWbNQVVVlNvNFdbxUNxERKR1ruomIiIiIHIxBNxEplkqlsvmkNJ68RkRESsbyEiIiIiIiB2Omm4iI\niIjIwVx+ysCoqCicPHnS2d0gIiIiIjcXGxuLw4cP1+u5Lp/pPnnyJIQQil1SU1MVv//67MPW59iy\n3bW2qe3xmh6bOnWq0//tXXlcOHJMcFxwXHBccFwoZVzU9jyOC44La8uRI0fqHbO6fNCtdI6+2po9\n9l+ffdj6HFu2u9Y2tT3eGFezcwSljwtHjglbt+W4UN7+OS6cg+Pi2tvWd1y46pgAOC5ccVy4/ImU\nKpUKLn4I5ABpaWlIS0tzdjdIYTguyBqOC7KG44KsaUjcyUw3uSVXzl6Q43BckDUcF2QNxwXZG4Nu\nIiIiIiIHY9BNRERERORgrOkmIiIiIrIBa7qJiIiIiBSMQTe5JY1G4+wukAJxXJA1HBdkDccF2RuD\nbiIiIiIiB2NNNxERERGRDVjTTURERESkYAy6HYBXsHI+1uKRNRwXZA3HBVnDcUH2xqDbAdLT053d\nBSIiIiJSENZ021lSUhIyMzMV1SciIiIiajjWdBMRERERKRiDbjvbvHmzs7tAYC0eWcdxQdZwXJA1\nHBdkbwy6HSA1NdXZXSAiIiIiBXGLoDslJcXwjVSj0Zh9O3VGW61WO/X12Tb+GyilP2wro61fp5T+\nsK2MNj8v2LbW1q9TSn/Ydm47IyMDKSkpaAieSElEREREZAOeSElUjem3UyI9jguyhuOCrOG4IHtj\n0E1ERERE5GAsLyEiIiIisgHLS4iIiIiIFIxBN7kl1uKRNRwXZA3HBVnDcUH2xqCbiIiIiMjBWNNN\nRERERGQD1nQTERERESkYg25yS6zFI2s4LsgajguyhuOC7I1BNxERERGRg7Gmm4iIiIjIBqzpJiIi\nIiJSMAbd5JZYi0fWcFyQNRwXZA3HBdkbg24iIiIiIgdjTTcRERERkQ1Y001EREREpGAMusktsRaP\nrOG4IGs4LsgajguyNwbdREREREQOxppuIiIiIiIbsKabiIiIiEjBGHSTW2ItHlnDcUHWcFyQNRwX\nZG8MuomIiIiIHIw13URERERENmBNNxERERGRgrlF0J2SkmKovdJoNGZ1WGw3zbZ+nVL6w7Yy2hkZ\nGYrqD9vKaOvXKaU/bCujzc8Ltk3bGRkZSElJQUOwvITckkajgVqtdnY3SGE4LsgajguyhuOCrGlI\n3Mmgm4iIiIjIBqzpJiIiIiJSMAbd5JZM67CI9DguyBqOC7KG44LsjUE3EREREZGDsaabiIiIiMgG\nrOkmIiIiIlIwBt3klliLR9ZwXJA1HBdkDccF2RuDbiIiIiIiB2NNNxERERGRDVjTTURERESkYAy6\nyS2xFo+s4bggazguyBqOC7I3Bt1ERERERA7Gmm4iIiIiIhuwppuIiIiIapSWlubsLjR5DLrtLCkp\nCdHR0c7uRpPHWjyyhuOCrOG4IGvcbVykp6c7uwtNHoNuIiIiIiIHY003ERERkZtjvGQfrOkmIiIi\nIlIwBt3kltytFo/sg+OCrOG4IGs4LpTH1U8GZdBNRERERIrn6ieDsqabiIiIyM25Q7ykhGNgTTcR\nERERkYIx6Ca3xFo8sobjgqzhuCBrOC7I3hh0ExERERE5GINucktqtdrZXSAF4rggazguyJrq48LV\nZ86oC6Ud64ULQK9e0wG0cHZXGoQnUhIRERFdg6vHG3XpvzOO9fx54PBh4PXXV+Lrr/cB6ATgur9u\nPQEcAvA0gF8tnpuamtpoXxQa8t4w6Ca3pNFomL0iCxwXZA3HBVlTfVw0NN5IS0tzagbZ2UG3EMbA\n+tAh89vDhwGdDujUCbjuOuOt/n6LFoBKpYyYryF98LJzX4iIiIiomvT0dMWVbdibEMC5c5YBtf6+\nEDKI1gfVo0YZA+vmzWVg7c6Y6SYiIiK6hobGG87MlCclJSEzM9MumW59YF09W62/VanMA2vTrHVD\nA2slxHwsL3HtQyAiIiKFc3bQXdvz09LSGnS1xuo10SqVCqdPC6tlIIcOAV5e1stA9IG1oygh5mPQ\n7dqHQA7AGk2yhuOCrOG4IGvsXdOtxOeXl8sg+uBB4/LNN9koK2uD8PBQi2y1/jY8vN7daBAlxHys\n6SYiIiIiC0IAJ04AQDLmzjUPsM+cATp2BLp0kUtyMrB37zv4448vcf78BWd33UJqaqqzu9AgzHQT\nERER1aKuNdHWODrTXVUFHDkCZGebLwcOAEFBwKlTG/Hgg0MNAXaXLkBMDODpaf++ujOWl7j2IRAR\nEZGD1XQiYkProQHb5om2V9B9+bLMUpsG1vv3A0ePAm3aAN26WS7Nmjl/ykB3waDbtQ+BHIA1mmQN\nxwVZw3HRNNQ1XnB2TffFi+ZB9VtvrUaHDqNx8qSsq64eWHfpAvj72+f1GVvVjDXdRERERC5GCKCw\n0LIkJDsbKC0FunY1BtXAfPzww2jExsrZQ8j1MNNNREREbs+Zs4dotYCXVyy+++6IRXDt7W2Zte7e\nHWjb1nxO68bsP2OrmrG8xLUPgYiIiBysMYJWIYCCAiArC/jjD+OSnQ1cvpyHkSPbmQXW3brJS5wr\npf/2ei135rZB96pVq7B69WoUFxfj/vvvx4gRIyy24cAga1ijSdZwXJA1HBdNg71rus+dMw+s9Yuf\nH9Czp/nSvTsQGqq8ebod9VruzG1ruseNG4dx48bh4sWLePbZZ60G3UREROTeGnIJ9IYqKZEnMgLT\n8NRTxiz2lSvmgfVddwE9egAREU7pJrmARs90T5s2DatXr0bLli2RlZVlWL927Vo8+eST0Gq1mD59\nOmbMmGF47Nlnn8XkyZPRp08fi/3x2xgREZF7s8ff+mvt4+pVOad19cz16dOyDGTXrkV4442phiC7\nes11bVxhnm9TzvySo3QuVV7y66+/IigoCFOmTDEE3VqtFl26dMH69esRFRWF/v37Y9myZejatSte\neOEFjBw5EsOHD7d+AAy6iYiI3FpD/tYnJSUhKysLpaWlEEJAq5UXkakeXB87BnToAPTqZZ7B7thR\nXkCmtj40dK7vxpznmxrGpcpLBg8ejNzcXLN127Ztw3XXXYeYmBgAwF133YVVq1Zh/fr12LBhA4qL\ni3H48GE8+OCDjd1dclGs0SRrOC7IGo4L11Z7wNsKQG8ADwHoCZVqF4CuAE4B+APAH7jtti5Yvvx2\ndOkC+Poan6nRaNCpk9rmPjgyaE5KSqrX80hZFFHTXVBQgOjoaEO7bdu22Lp1K9577z089thj13y+\n6UBXq9X88CQiImoiZs+eDZXKHzt2lGPfPmDvXmDfPrkIAcTFyez1f/4zDVu3TkX37kBQUEcAHQHc\n4uzuA7A9U66qoZ7Flkw51Y9Go4FGo7HLvpwye0lubi7Gjh1rKC/56quvsHbtWsyfPx8AsGTJEkPQ\nfS38uYSIiMi96f/WCwGcOGEMqvftA5Yv3w+gA3r18kfv3jAscXFAq1bGuuuGxgsNrXN2dnkI4yX7\ncKnyEmuioqKQn59vaOfn56Nt27ZO7BERERE5U1WVPLFxxw4A+A/Uahlk+/oaA+ubbwb++c/u6NoV\n8PFxbH+YSaaGUkTQnZCQgEOHDiE3Nxdt2rTB559/jmXLljm7W+TCWKNJ1nBckDUcF86nD7B37pRB\n9s6dMsCOigLi4wHgOF56SQbaLVs2Tp84LsjeGj3ovvvuu7Fp0yacP38e0dHRmDVrFu677z7MnTsX\nN910E7RaLe6//35069atsbtGREREDmYaYOuDbNMAOz4emDAB6NsXCAnRn0SYieTkt5zddaIGUfQV\nKW2htBqlpKQk5Ofnm5XLEBERNUVarbwEuj7A3rlTnujYpg2QkCAD7KyshVi06AkAxfV6DVtPInR2\nvODsmmxnH7+7cKl5uu1NaYOIQTcRETVFWq1liYg+wI6PNwbZffsCoaF123djXBzH0ZwdNDv7+N1F\nQ95HDzv3xSlSUlIM07lUn9qlsduvvPIKFi9e7LTXZ1tjtk4p/WFbGe2MjAxF9YdtZbT165TSH1do\na7XAJ59o8M9/avDEE8CgQUBQkAY33aTBDz8A7doBEyZosHy5Bjk5wLJlQHy8BoDGEHA3dv/162zd\n3t6fF3V9fXs/f+rUqYoZP67YzsjIQEpKChqCmW5ySxoNT4AhSxwXZA3HRe1MM9imJSKtWhmz1/Hx\nQL9+dc9g28oZmW57jwtmqt0Dy0tc+xCIiIgUQasFDh60LBFp1cqyRKRZs8brF8tLnN//xiQEUFwM\nXLggl6IieTtwoPwVxZlcfp5uIiIialymAbY+yDYNsOPjgXHjZAa7MQNsch9VVcDFi8bguXoQXdNS\nVAQEBABhYUB4uHGJiXF+0N0QDLrJLfHnYrKG44KsaQrjonqAvXMnsGcPEBlpzF7fcot7B9ipqal1\n2r4pjAtbXb167SDZ2vrSUllyZBo4h4cbg+kOHeTYs/a4t7ezj9r+GHQTERG5Ea0WyMkxLxHRB9j6\nEhF3D7Ct4RUljcrLgdOngTNn5K1+0bfPnDEPnisrLQNj0yUqyjyY1i+hoYCHW0zZYR+s6SYiInJR\npgG2Psg2DbBNT3IMC3N2b+vPHf7WO7KmWwjg0qWag+jq7cpKOUb0S8uW5u2ICKBFC2PwHBAAqFT1\n7rpbYU03ERGRm6seYOsz2BERxgx2WprrB9gkCQGUlAAnT8oFuAsZGdYD6jNnAB8fy+A5MhLo3dsy\nwA4JYRDtDG4RdKekpCAlJQVqtdowp6K+DovtptnWr1NKf9hWRjsjIwN9+vRRTH/YVkZbv04p/VGr\n1dDpgCVLNDh4ECgvV/+VxdagWTPghhvUf53kqMFzzwFjx5o/PyzM+f13h7a9Py/069RqNUpLga+/\n1uD8eSAyUo2TJ4GtWzU4dw7QamX7xAn5/OhoNVq3BoBO+OUXDeLj1YiNBc6ckePh5pvVaNkS2Lbt\n2v0pKAA6dXLO++nq7YyMDOzZswcNwfISckv6DzYiUxwXZI2zx4VOZ71ERJ/BNi0RCQ93WjedKi0t\nzaImW6PRGAIj039DtVoNtVoNIQS+2P8Ffsv7DR3DOuKhhIfg5+Vn82vWZ1xotTLrfOKEcSkokLe/\n/34Mvr4dcPKknNWjTRvj0rq1eVu/BAcb9814Rxk4T7drHwIRETUROh1w6JDxBMedO4Hdu2X9rOk8\n2E05wK4Pa7HAjJ9m4P3t76Ossgz+Xv7o0bIHNk/bDG/P+k2LUVUFFBaaB9TVl8JCWdrTtq1xiYqS\nS9u2xuA6NLTu5R2Md5SBQbdrHwIREbkhfYBtOouIaYCtD7IZYNfP5corSHp9GvZWrISYfRWPL34P\n/5n86F+PXUbQg0HQHdXJjXMB71hvTOwxEfffdr9FBlsI4Px5IC/P+pKfD5w9K+uhTQNqfVCtv9+m\nDeDr65jjZbyjDAy6XfsQyAGc/XMxKRPHBVljj3FhGmDrg+zqAbY+g928uX363dR1uW80co78CHho\ngU0AbvDCTe3uxAsPPIC46+PQak4rVOgq5MZpfgh8uiue7fEu2qsGWw2q/fzkhVf0S2WlBkOHqtGu\nHRAdLbPUXk48E47xjjJw9hIiIqJGotMBhw9bloiEhxuz1y+9xADb0Q5f3ioDbgCAP3ClPbbsaYFV\nq9rghx+aIfDn71B5KhSiqD2AMFxeeBI/9YjCdR1kUD1wIHDnnTKgjo42r58GAI0G4Hd0sidmuomI\niGqgD7Crl4joA2zTEhEG2I5TVgYcPw7k5hqXOV//AHE5HLgYA5SFAuH5aBYocMffOqN9e+B88U58\nuXUOzuq2w6PwNKaMm4zIoEjDiZauxtrJpNT4WF6ioENISkpCfn4+8vPznd0VIiKqA9MA27RExDTA\n1i8MsO1PCDnndHY2cOCA+e25czI7HRNjXFa/PQu/t1kP+B0DthUAA4PwwJXemPTOv10yqCbX0OTL\nS5Q0T/elS5dw4sQJQ9+c3Z+m2tavU0p/2FZGm/N0s61v63TAZ5/JebBzcoAzZ9TYvl2DoCBg0CA1\nEhKA0aOUK9UQAAAgAElEQVQ1eOopYNw48+c3b+78/rtye/BgNY4dA1as0OD4caCyUo3sbCArSwMP\nD6B3bzW6dQO8vDQYNgz48ENZV/3rr+b7S5z7Ib7NbYGN3YdiDxbjfzuD0WVCO35esO2QNufphvIy\n3QB/AlICjUZj+I9CpMdx0TTpdMCRI5YlIs2ayax1WJgGd96pRr9+8sRHso/ycuDgQWO2Wp+5PnxY\nXhmxWzega1fz24iIOrzA4sXAQw8B5eVQARDBwfIfNjbWLv3n5wVZw/IS1z4EIiKyE9MA27REJDTU\nOAe2fmkqAbZGozFk7UwDSbVabZeg8uxZy3KQ7GxZKhIbK4Np08C6c2cgMLDBLyt9/z2weDFUK1ZA\nHDwod07kQAy6XfsQiIioHoSQAbbpLCK7dskAu/qFZuqUQXVj9f2bqdPJExmt1VtXVZkH1fr7HTo4\ndoo90y8T6enpSE1NBWC/LxNE1jT5mm6i6vizIFnDceG69AG2aYmIaYAdHw/MmFG/AJvjwujKFTnf\nuGk5SHa2rHtv3twYWPftC0yaJO9HRtb96or2NmTIELvvk+OC7I1BNxERKYppgK0PsnftAkJCjNnr\n55+Xt8xg22bTJmDDBnm/rAyoqLAsBzlwQF7KvEMHY7b65puBp5+W96vPY+1szGiTq2F5CREROY0Q\nwNGjliUiwcHmJSIMsOtOCHmlxYwMYO5coLISADTw9FTD39+yHKRbN1mD7e3t7J4TKRdrul37EIiI\nmgR9gF29REQfYJsuLVs6u7euo6JCzghSvd76wAH53p49C2j1F25EMvz91+ODD4CpU53ZayLXxJpu\nompYi0fWcFw0HtMA27REJCjImL1+9lllBNiuMi6Kiy3LQbKz5QmO7doZs9XDhwOPPirbzZpVz1xv\ngBByX1Q7VxkX5DoYdBMRUYMIARw7ZlkiEhhoLBFRSoCtdEIAhYXW660vXgS6dDGWg0yeLG87dQJ8\nfWve54gRwM8/A1evyraHhwzMiahxuUXQraQrUrLNNtvKbevXKaU/jmprNBqkpaU5ZP9CAO3bq7Fz\nJ7BypQY5OcCxY2oEBgLt22vQuTPw9NNqxMcD2dmWz9+/3/nvjxLaVVXyiph5eYCXl7wi47Ztsh0Y\nKK/IGBKiQfv2wHPPyfaRI/KKjab7O3cO6Nmz9tdbvlyNlBTgxx81KC8HvvkG6N5dWe+HEtv6dUrp\nD9vObfOKlGBNNxFRdfb6XBQCyM01z2Dv3AkEBFheaCYysuH9dkelpfKqjNUz10ePAm3aWJ7I2LWr\nnJrPUfg3k6hheCKlwg6Bl4F3PtPsBJFeUxkX9flcFEJOF7djh/ni728MrPWBtrsF2A0dF0IAZ85Y\nv3DMuXOy/KP6TCGdO8v3trEp8W+mUjWVzwuqG55IqTDp6ekMuonIZs74ol5YaBlgA0D//jK4fuwx\nGWC3bi37N3Nm4/ZPibRamfmvfiLjgQPycdOgeuRIeb99e8DT06ndJiKFYKbbAZTYJyJSLnt+ZiQl\nJSEzM9Nsf2fPGmcQ0S+XL8vg2nRp29b6lQWb2mfa5cuyJKT6iYyHDskTQauXg3TrJucQd/ZVGW3R\n1P4tieyN5SUKOwQl9omIlKu2z4y0tDSkp6fXYW9hAPoBSDBZmgHYCWCHyZJr8czU1FSrGXd3/Uw7\nd86yHCQ7W/4KEBtrWW/dubOc8tDVaDQaw0lhpiUTarWa5RNEdcSgW2GHoMQ+NTWsxSNrlDgurGWm\nbaXPYO/aZbw9fx4oKfkFTz99oyGDHRsrp4lr7P4pgU4H5OVZr7euqJDBdLNmGgwdqjYE2B07Al4s\nvmzylPh5Qc7Hmm4XxpMuidxL3TPTkuqatQmtIDPY8YZbX98IJCX5IT4emDABePVV4LrrAE/PIXj7\n7br3vWH9s11NGfWGuHpVln9Ur7fOyQHCwozZ6rg44K675P1WrWRJiEYDMLYiIkdjptvO6poVUlr/\niajxmX4OCAEUFFhmsK9elSc29utnvO3YsXFqsJX0OXXxovULx+TnAzExlvXWXbsCISHO7jURuQtm\nuomIXJB+HmxgPP71L2OQrVIZA+tp04D335eX+XaFE/XsQT99obV669JS8+n37rtP3sbGAj4+zu45\nEVHNGHTb2ebNm+36M2xTMHDgQFy9ehUVFRU4ePAgevXqBQDo168fFixYYLbt3r17kZOTgzvuuKPW\nfepPGnruueewfft2h/SbXI8zazQrKmTQuHs3sGePcZEn5t0Hb2/g4YdlsN2mTcMC7NTUVHt126Eq\nK4HDhy0D64MH5SXkTbPW48fL+zXNsNIQrN0lazguyN4YdCtMU6zx3rJlCwDg+PHjSEhIwO7du2vc\ndvfu3Vi9evU1g24iR7rW/9NLl4C9e42B9e7dMpDs0AHo00cuY8bI+mI51dwtSEuzX/mG0j5DiouN\nV2U0DbBzc4HoaGNgPXQo8Mgjsh0W5uxeExHZl1sE3SkpKUhJSYFarTZkOPXfTp3V1rvW9gDQp08f\n3HrrrVi3bh0yMzPNpnFSyvE0RlsIgcrKSmg0GuTl5WHOnDkoKytDVFQUvvrqK3h4eGDGjBkoLy9H\n3759MWTIENx6663497//jUuXLuHq1ato1qwZnn/+eYwZMwYajQYlJSVm2QolHS/bjd/Wr2vo/vQX\nwNq4UYNz5wB/fzV27wZ++kmDw4eB4mI1evUCIiI06NQJ+PBDNXr2BLZts74/fWba2e9PTW1b+icE\nsHKlBsePA76+ahw4AGzerEFeHlBerkbnzkB4uAbt2gGTJqnRtStQWKiBj4/5/q5eBcLClHX8bDfN\ntn6dUvrDtnPbGRkZ2LNnDxqCJ1I6gK19Cg0NRXFxsaGdmJhoOAmzKWa8c3Nz0b9/f2g0GowcORK7\ndu1CZGQkZs6ciZycHCxfvhyLFi3C999/jy+++MLwvPPnz6N58+YAgJdeeglarRavvvoqNBoNy0vI\nbq5ckRnarCxgypQ3kZz8HPbskaUOffvKRZ/F7tTJfa9CWFUFHD1qeSLjgQOAt7f1C8e0a1f/KQuJ\niJSEJ1K6oKSkJJOAuyWAF7Bhw1MICJDFik35UvIbN27E6NGjERkZCQB48MEHERcXBwBWB/qiRYvw\n2WefoaKiAmVlZejSpYvhGyqRKdOsVU20WhlU/vGHDLD1t7m5craQ06fXA7iIp56SgbZ+2jl3o9XK\neuu9e+Xx6wPsI0fkpeH1JzIOGgRMny4D7BYtnN3r+rFlXFDTw3FB9sag20kyMzNNWiUAIhEQsBNA\nNIKDg2t8XlJSEvLz85Gfn+/oLjqVaXBd2zfKX3/9Ff/73/+QmZmJ5s2b47PPPsP8+fMbo4vk4oQA\nTp0Cnn9+MZYs2Q2g119LNwBnAWQB+MPk9iD2768wPH/06Ffq9HqOmJvaXi5dAvbtkwG2fvnzTyAy\nUtad9+oF3H678aqMAQHO7jERkeupNeg+evSoTTvx8PBATEyMPfrTJFgG1ZcB3APgWQDbUVr6OIAV\nNT7/xIkTjuucAgwdOhSvvvoqTp8+jcjISMyfPx8jR44EIEtyLl26ZNj20qVLCA0NRXh4OK5evYqP\nP/4YgKzBYrab9C5dkkHkwYNqfPmlMXutUgG9et2Lxx67Fz17yuCyRw8gJCQQQAyAsVb3p8SyNlvo\ndDKLbxpc79snr2zZsyfQu7csj5k6Vb4XoaHO7nHjYDaTrOG4IHurNei+7rrrbNqJn58fysvL7dIh\nd3Ct6bqsvVc+Pj6oqJiDvn1LkJ39Bq5cuRUeHi0wcGBnwzabN2/G5s2bFZstsweVSoUePXrgtdde\nw4gRI6BSqRAbG4sPP/wQADB8+HDMmTMHffr0gVqtxpw5c7BkyRJ07twZLVq0wI033mhWw83pG5uW\nq1eNddem5SHnzwPdu8MQWI8bJ28jI92zNAQASkrk8ZsG11lZQHi4DK7j4oDJk+VtbKz71qATkesr\nKAB++AFQq+VVd11VrSdSBgcHo6SkpNYdCCEQHh6OoqIiu3fOFq6YcdJftdKUEALR0dE4ceIEyssF\nAgL+A2AiVKpZEGIeAK3Zz9NN8UTLumAtnuuoz1jWT0F34IDxdtOmsygtjUCHDjKg1gfYvXrJqfo8\nPOw3LpT0uaO/wI5pcL13L3DypPyiERdnXHr35lR81vDzgqzhuHCeykogMxNYs0YG2ydOACNHAi++\nKD/TnclhJ1JmZGTY9OJvv/12vV68qUtNTUV6erqhHR0dDQDw9wcSEz9HZuYnADIAPAIgFenpszB7\n9mxotdomfaIluZeaxrJOJ7Mb+pkxTJeLF2Vtsf4y33fcAXz1VTKuXNkLX1/H99lZF58pK5OZe9Pg\net8+eYEdfWB9xx3Av/8tZ1Dx4lk7ROQiTp4E1q6VQfb69fIXuFGjgA8+AAYMcI/PM04Z6AT6TLcQ\nAiqVqsYTrNLS0pCamobVq4GxY7cCCAYwB4GBq1FWdsZw3Mx6kysKDg5GaWkpAD/s3XvZIrDOyQFC\nQoyBtX7p0kVeUKX6FHSu+FlQEyGA/HzLkxvz8uR7UD177aqzhhBR01VVBWzZYsxmHz8OjBgB3Hwz\ncNNNcmYoJWrI35o6Bd0bNmzAsmXLcPLkSURFRWHixIlITk6u1wvbi6v9oU1KSkJWVhZKS0vrNB+3\nSqXC5MmLsHRpcwiRCGAZvLwWIiHBG1u2ZCp6ZgRqejw9PSGEgE6nAyBPZDx6VE43p1/mz98AIBZA\nJLp397cIrLt0sf1EPtMvsq7m8mVg/37Lkxt9fMyD67g4+Z54ezu7x0RE9XPqlDGb/dNPQEyMzGbf\nfDNw/fWukc1ulKD7rbfewuuvv4777rsP7dq1Q15eHhYuXIjnnnsOzz77bL1e3B6UFnRfa0q/pKQk\nbNmyBUKIOvXb9Djj42/Frl19AKQAqADwJYCvoNPtRHq6ZRDfkEy4q2bRWYvnONbGuBBAYaExoL7v\nvtkAYjFgwCQcOSIvLNOxo/y5UL/MnHkPzp3bAuA4AK2zDqdG9v4iq3+PTIPrvXuBY8dkKUj17PVf\n09RTI+DnBVnDcdFwWi2wdasxm330KJCcLIPsv/1Nzvnvahrl4jhvvfUWfv75Z/Ts2dOwbsqUKUhO\nTnZq0K1E15rSr6FfEnx9zwBI/2uJBzABwHJ4eJwCcB1iYoChQ+VV4AYNkhnABQsW4P7777cIIq71\nJYG146RXUgKEhvaCEG0B9MNTTxmz10ePAsHBxoBaBtE/4J13JiE2FmjZ0nKWkIcfXvrXycNau3xx\ntuWDsLH+iF69Ki8kUz17DRgD61GjgBdekJn9xqhDJyJqDGfOGLPZ69bJcsBRo4CMDGDgwKb9a53N\nme6oqCgcPnwY/v7+hnWXL1/Gddddh4KCAod18FqUlukGas8Oe3p6QqfT1SmLVv2nc/0sJ4Dx0vEA\noFLFQoih8PL6G7TawfDy8oBOtwVa7e8AtgDYCyEu1LpvWx8j5bDHrxFVVfIklrw8WUucl2e5VFQA\n5eXZAPIRHx+OiRMTDEF2x44y6NZLSkrCn3/+aTanek3s9X/YWZ8Fp09bBteHDsn3xDRzHRcnszru\nOkUhETVNWi2wfbsxm33oEDB8uDGbHRXl7B7aV4P+1ohaaLVawzJv3jwxadIkcfDgQVFeXi4OHDgg\nJk+eLObPn1/bLhzuGoegOEFBQXXuc9u2bS2eA0CkpqYKIYRITU0VAERiYqLw8PAQQUFBIjAwSLRq\nNVCEhz8sgLcE8JsALorISCHUaiEiI78SzZr9S6xfLwTQSuh0lq+bmJjYoPdX37+a7puus7ZdU5eY\nmCjatm17zW1q+jdKTU0VOp0QFy8KkZ0txMaNQnz2mRBvvSVE69ZLhL//12LQICGio4Xw9hYiKkqI\nxEQhJk4U4rnnhHjvPSG++UaIXbuEOHdOGMaIvf+N7PV/2NGfBVeuCLF7txCffirfn5EjhYiMFCIs\nTP6feuIJIRYsEGLHDiEuX3ZoV4iInOrMGSEWLxZi0iQhmjcXolcvIZ5/XgiNRoiKCmf3zrEa8rem\n1ky3R/XpAWqI+LVa59VjKjHTXZv6Zo+rH6dp+1r7VKlU8PDwgE6nw4kTAtnZwIQJM1Fe3h6Jiffj\nl1/OAPBFz56hiI6GYZk5MwVCHMehQxvRti3g52fc57Wyq6Z9qt4/lUplyNCb9tmemXUl1eLVNxOt\nn93D9N9ZT6fzxldfbcLNN0/Fvn2n8MknP6KwEIblyy9/A9Aa/v6x8PSUGVbTZeXK95GXl4lfflmC\ndu2ANm2c95NfY2a6bRkXOp08iz4ry3w5elRmr/Vzf+uz2G3bMnvt6pT0eUHKwXFhpNMBO3YYs9kH\nD8oyVn02+68Zj5sEh9V023oZeGdLSUlBSkqK2aW/9f9RnNXWaDRIS0uzeLz6z+227k8/L7C1tuk+\nrT1/6tSpWLhwIVQqFQ4d0sDLC7h4cZbh8aFDhwJoBl/f2zB48L04cwYoL1dDiGQA5zB4sAYXLqgR\nGgqcOzcfQpwHEIPycmDRoidQXn4Sbdu2g7f3RXTu7I+UlAnIy5PlL6ZXhIyOjkZISAgAICsrCwAQ\nGBiI1atXQ61WG+rKTadRrO/7X9f3t6Z2SkoKAGDhwoX1en6PHj2wf/9+Q9BdfX8bNmjwyCPPIyCg\nPebN+wIajQb/+c8C+Pr2RGnpPwBcgJ/fTIwYMQtZWfNw9Wo2tNogCDECCQmAv/99AHbg559lMK3T\nadCtGwDMBFCIr76aD39/y/69884/kJZ2FlqtBseOAe3b1+/9sVdbryH7S01Nveb2e/bsMWuvWiWP\n39NTjaws4LffNMjNBcLD1X9dBl2Djh2BF15Qo1s3IDPTcv9Hjjj/84bthrX1lNIftpXRrv554ez+\nNHZ71SoNtm8Hjh9XY+1aIChIgwEDgNdeU2PQIGDzZrl9dLQy+uvodkZGhmFM1Bfn6XaQmvpVPXvp\n6NezdRu1Wm32BygtLc1w4Z7U1FTMnJmG06eBdu0GoaoqHEAEXn31Y7z88jyUlvohNLQzSkp8odM1\nh0oVBpUqGDrdRXh6lkKIIuh0RQAuAbgI4CKCgwVKSvIAlMDXV4fAQBWWLJmHm28eAnnaQDn+/HM7\nAgKA2Ng2AC6jpKQIKpV8DwEYrpaqzwBv3rzZLBtc2zpbGOeRVuHKFR0qK+VVskaMGA0hfLBkydco\nLZUXLCktBW655W4IEYj//OcjlJUB77+/CIWFxdDp/HHXXdOxfPl3AIIANEP79n1RVCSfCxTDy6sE\nPXpEISwM2L37Z3h5leDMmYMAihAWVoVPPnkTERFARISck7lZM2N2taZMekxMDHJzc206VmdqjP/D\nV67IafmqZ6/LysyvXKm/kmV4uEO7Q0SkOEIAf/4JfPst8P338r5aLbPZo0bJyRmokaYMvHjxIt59\n913s3r37r0DE+OLr1q2r14vbg6sF3foTKRs76LZXWUv1YFwf8KWlpZmd4FlVJeDlFQagGfz9W+Py\nZR+oVGHo2LEfjhw5C7V6PDSa3ZBBaAC8vEKQnHwL1q7dBA+PIAjhDx+fZqis9IZO5wfAH4AXvLyA\nqqrLACrh6QkIcRWenoBOdwUxMdE4ciQbQBU8PLTw9FQhLi4O2dnZqKiogI+Pj9mxhYSEokWLNoZg\nuqICZvdLSi4D8AbgBW9vGJaysiJ4eFSgY8dIBAbKqwEGBgJr1nwBoASPPjoNQUHA0qXzUFx8EoMH\n98OkSbfgnntuhRDFAIpw9OhuhIXJi794eNT83gMNn+1G6ew5LaVOJ6fg0wfV+/bJ2+PH5QmfvXrJ\nkxr1AXa7diwNIaKmq6IC+OUX4LvvZLANALfcAowZA9x4I2dWssZhJ1KaSk5OFsOGDRPvvfeemD9/\nvmH56KOP6l1Qbg91OIRGU9vJbQAc0udr7bO+J0XWdNJcbcdneqKk/r6Pj4/hZE/9NvoTQK29Xmpq\nqlmfhwwZIrRaeYJGWZkQL7zwikhIuEm0bt1H5OcL8cQT74icHCGArgLoJZo16y+mT58ntm0TYts2\nIaZP/9Bwv1evacLf/0YBxIs9e4T4808hDh0SIjdXiIICeYLIxYtCBAZGCMBLzJxp+R5Ye1+qv8fW\n3nPT98cWoaGhNm/blGi18t9rzRoh3nxTiPvuE2LAACECA+WJoTffLMSMGUIsWSLE3r1CXL0qn7dx\n40an9puUieOCrHHXcXH+vDwJ8s47hWjWTIiBA4V4+WUhsrKE1UkVyFxDYjibnxkSEiKuXLlS7xdy\nFAbdxv3aYxtb1TUYN32O6XOv1ae6zpShf++nTp1q03b12cbW9da24+wsdaPVCnHkiBDffivEa68J\nMWWKEAkJMrhu00aI5GQhHn9ciA8/FOLXX4UoKqp9f+76R5QahuOCrHGncXHwoBBz5ghx441ChIQI\nMW6cnG3p1Cln98z1NCSWsrm8ZNSoUXjttdcQFxdXv5S6g7haeYlKpUJISIhN8xfb4/Xquk1D1bVU\nwBFXvLSl1CY/Px8nTpyo13tWW6lObbPMUM20Wjk7yP79so5w/365HDwING8O9OgBdO9uXLp1k3Xt\nRERkqaoKyMyUJSPffScvbjZ2rFyGDQNMLrlCddQoV6RcuHAhRo0ahcTERERGRppN/zZz5sx6vXhT\noz8BsLi42Mk9cZy6BtCOuNqlfmYXe2xnbZvNmzebzcpS2/a29qWpuHQJyMmRy8GD8jY7W15MoVUr\nY1CdnAw8/ri8WuNfE94QEVEtiouBH3+UQfaaNfKclbFjgaVLgX79eP6KEtic6b7//vvx/fffY/Dg\nwWZXpQSAxYsXO6RztlBqJtFav/SzYQwZMsRsphB7sCVjrNT3yhE0Go1hmh9HcESG3l1cvSqz1qaB\ntf5+WRnQubP50q2bDK4DAx3fN0ePC3JNHBdkjSuMi+PHjSdBbtkCDBpkPBGyKc2d3ZgaJdO9YsUK\nHDx4EG3atKnXCxHQq1cvZGZm2j3gBhyTMaaaNfX3W6cDCgqsB9YFBTLDog+q+/cH7rlH3m/ThtkW\nIqL60l+kRl82UlgIjB4NPPwwsHKlnE2LlMvmTHfv3r2xYcMGREREOLpPdaLU7K21fjlqusCG9Imo\nJleuALm5Mmt97Ji81S+HDwOhocbAuksX4/0OHYBqszMSEVE9Xb4MrF9vnD87PFxms8eOBa6/HvD0\ndHYPm5ZGyXRPmTIF48aNw2OPPYbIyEizx4YNG1avF3dX1S/GohcQEGA2x3ljY30xmdLpgFOnjIF0\n9cD6/Hn582THjnLp0AFITJS3nTqx1pqIyFEuXABWrwa++UYG3P36AePGAS+8IK85QK7J5kx3TExM\njSePHTt2zK6dqgslZm/rMrsFOYYr1OI5WnExkJ9f85KXJ7PV+oDaNLju2BGIinK/DArHBVnDcUHW\nNPa4yM8HVq2Sgfb27XKWkVtvlfXZzZs3WjfoGhol0+0Kl5NWippmt6gpA05UF0LILEhhoVwKCqwH\n1VqtzFSbLjfcYLzfrl3jnLxIRESWhJBTo37zDfD117Kcb8wY4NFHgZEjgYAAZ/eQ7M3mTLdSKTVz\nbK1fvr6+qKioUGR/ybkqK2U5x9mzlsuZM8YAu7AQOH1aBsutWgGtW8uMdPXgOjpazmPNkxaJiJRD\np5OzjOgD7YoKmc2+9VZg8GDAy+ZUKDlLQ+LOWoNutVpt00wbw4cPx4YNG+rVgYZypaDb2SdSkmMJ\nAZSWyrmoL1403prev3RJZqmrB9YlJfLkmIgIy6VlSxlc65dWrQA/P2cfLRER2eLqVeDnn2WQ/e23\n8jNdH2j37cvkiKtxWHnJ1q1b8fHHH0MIUWM9txAC27dvr9eLu7PqJy0mJSVBp9M5qTdNT021eELI\nD8CKCnlbXi6XsjLjfdOlpvUlJZbBdXGxDIZDQ2WW2dptWJisl9YH1C1ayNvwcMDDo/Hfp6aGtbtk\nDccFWdOQcVFWBqxdK6fxW7NGXlV3/Hjg9995ImRTVmvQff3119t04ZvExES7dciVCQHMmiXrsarP\n45yVleWcTimMViuzwSUlxuXyZTk93ZUrMhC2dt/aY/pFH0Cb3i8qkj/TVV9fWSmns/PxAXx9ZZlG\nQID5Ym1dQIA8kUX/eGCgZUAdGgp4ezv7HSYiIme4eFFO6bdyJbBhg5zO77bbgDlz5K+URKzptrOH\nHpKB2dtvm69PSkrCzp073aamWwjg3Dk5A8bp0/L+uXOyLll//9w5mf01DbCvXpUBa3CwXIKCZNvX\nV2aJ/fzM71dv6+/7+hoXfQBd231928eHP+UREZF9nDkjZxxZuVJmsYcOlYH22LHyF0xyPw6r6XYF\nSgu6T52SPyNt3y7LCPSSkpKwZcsWCCEs+qvES4rrdPLysocOGaeXy8sz3s/Pl18uoqPlN/gWLWQm\nuEUL4/3mzWUWWB9cBwfL57CMgoiIXFV+vqzPXrkS2LMH+NvfZKA9apT8O0furckH3VOnTkVKSorZ\niZ/6OixntBctArZvb4E//uhpePzFF19EZmYmAGDjxo1m2w8dOtTwD9jY/d24UYPCQsDPT439+2X7\n+HGgsFD9VxCtQWQkMGCAGu3aAUVFGrRsCdx+uxqBgc55f21p69cppT9sK6OdkZGBPn36KKY/bCuj\nrV+nlP6wrYy26efFoUPAm29q8OuvwNmzaowdC3TqpEFCAjBypDL6y7Zj2xkZGdizZw8WLVrUtINu\npR1CWRkQFFSArVujMGCAcb3+ZNTq/W3MY7h4Efj1V7ns2AHs3i2/mffpIzP03brJpWtX1/7GrtFo\nDP9RiPQ4LsgajguyZvFiDfLy1PjiC1lGOX68zGgPGcLzd5qyJp/pVtohyCtSdsfgwR9h0yZjDbG1\noDstLQ3p6ekOO4bz54FffgE2bZLL4cPy5I4bb5S3/frJ2TOIiIiaugMHgC++kMu5c8DttwN33AEM\nGuR+V+il+mm0oPvAgQPYu3cvysrKAMAwleC0adPq9eL2oNygeyt69NDi5ZeBceOMc3QD5kF3Tdnv\n+iz1PCMAACAASURBVDpzxhhgb9ok67KTkuQ38yFDgIQEeTIhERFRU1HbuVPZ2cZA+8IFYMIEGWgn\nJfEcJLLUKEH3K6+8glmzZiEuLg4B1a5NunHjxnq9uD0oN+jOxOrVAk8/DWRlAT4+xikz7Bl0nzxp\nHmQXFspLfeuD7H79muYVrvhz8bXFxMRgzZo16N69e6M///jx41i3bh0eeOABw7rRo0dj7ty56NCh\nQ736YwuOC7KG48L9VY8V/vzTGGhfumQMtBMTjYE2xwVZ47CL45h65513sG3bNvTu3bteL9QUjRoF\nPProUXz0UUe77E+nk9/IMzPl8ssv8lv54MEywP7734G4OP4ERrap6YJXjfH8Y8eOYd68eWZB9+rV\nqxvUHyIia5KSkgAAf/xhDLRLS2WgPX8+MHAgM9rUOGzOdLdv3x45OTnw9fV1dJ/qRImZbkD2KzU1\nFenp38Lbex0qKzsAKAVgLdMdjscfP4/OneUUfAEBcj7rixflFIQHD8o6s3375HR8iYlyueEGoGdP\nflhQ/XTo0AHff/89/vGPf2DAgAHIzMzEyZMnceedd+LVV18FABQWFuLxxx9HXl4eLl++jLvvvhv/\n/Oc/Dc9fvXo1unfvjrfeeguff/45qqqq4Ofnhw8++ABxcXEoLy/H1KlTsX//fnh7e6Nr165Yvnw5\nevTogdzcXHTu3BmdOnXCihUrzDLnBQUFePzxx3H48GEAwN13340XXnjBae8VEbkeIeQvzTff/AkK\nCgaiXbtuhoz2gAH820n10yiZ7tmzZ+Pxxx9HamoqWrVqZfaYB0euVenp6QCAysofADwPYKbZ48b6\nMoH27eWHww8/yCs06i8n3rKlnFnkrrtkgN2yZWMeATUFKpUK+fn5+PXXX1FcXIzY2FhMnz4dsbGx\nmDJlCmbOnInBgwejoqICw4cPR//+/ZGcnGy2j6lTp+KZZ54BAKxfvx4PPfQQMjMz8eOPP6KkpAR/\n/vknAODSpUsAgP/+97949tlnsX37drN+6E2ePBljxozBV199BQA4f/68Q98DInIPQsgElT6jffUq\ncPfd92HOnOuRm7uVF0cjp7I56E5JSQEAzJ8/32y9SqWCVqu1a6fcQdu2bXHixAkAgEo1E0LsAPA/\nACcN2+iDcqAITz/d6F10a6zFq5s77rgDABASEoJu3brhyJEjaNWqFTQaDc6dO2fYrrS0FAcOHLAI\nunfs2IFXXnkFRUVF8PDwQE5ODgCgT58+yM7OxqOPPgq1Wo3Ro0cDqP0chtLSUmRmZmLDhg2Gdc2b\nN7fLcXJckDUcF65NCOChh/6H5s0fwpdfApWVMpu9ZImcPEClAubM2VbngJvjguzN5qD76NGjjuyH\n24mOjjYE3YGB51BaOh/AywDuQ0xMDHJzc53ZPSIzfn5+hvuenp6oqqqCTqeDh4cHduzYAc9aThSo\nqKjAhAkT8Ntvv6FPnz44efIk2rZtC0CWoOzfvx/r16/HDz/8gBdffBFZWVk29UmJZWNEpBwHDgDL\nlgFvvJGHK1dG4vnngc8+A+LjwYw2KZLNdSExMTGIiYlBu3bt4Ovri3bt2hnWkaX8/Pxqa14GMBJA\nAo4fP17rc5V2SXhXxOxE3VgLcIODgzF48GBDfTcgx/Xp06fNtrty5Qq0Wq0h0P7vf/9reKygoAAq\nlQrjxo3D22+/jbNnz6KoqAghISGGUpPqgoKCkJSUhHfeecewzl7lJRwXZA3Hhes4cQKYM0fOzDVs\nGFBSAnTqlA4gFq+/bsxsV5eamlrn1+K4IHuzOeguLi7GlClT4Ofnh6ioKPj5+WHKlCk1/uFsypKS\nkgxZbgCIj49HauozAF4C8B8AtQfWxrITIscxraGuaSaSpUuXYv/+/ejduzd69+6Nu+66y+L/fEhI\nCGbNmoX+/fsjISEBQUFBhv3t27cPSUlJ6NOnD66//nq8+OKLaNWqFeLi4tClSxf06tULd955p8Xr\nLlmyBL///jt69eqFPn364OOPP7bjkRORKzl/HvjwQzlLV1ycnFxgzhwgPx94+21g374F19wHk1mk\nBDbPXjJ16lSUlpbi1VdfRbt27ZCXl4cXX3wRAQEB+PTTTx3dzxopcfYS/Tzdpnx8fFBRUQlgO4C3\nACwze7z6jCZKOyZXw1o8sobjgqzhuFCe0lLg229l+cgvv8gpeCdNAm66CbA2iZoj/m5yXJA1jTJ7\nydq1a3H06FEEBgYCADp37oyFCxeiY0f7zEHtTjZv3myROayoqPjr3hMAPgOwCkB5I/eMiIhImSoq\ngB9/lIH2mjXy0uuTJsk67eDg2p9bn/IRosZmc6Y7JiYGGo3GrIY7NzcXN954I/Ly8hzVv2tSalbY\n9ERKS8sAHAAgy0iGDBkCjUZjeFSpx0RERGRPOp3MZC9bBnz1FdC9O3D33fLCNRERzu4dkaVGyXRP\nnz4dI0aMwDPPPIP27dsjNzcX77zzjtkV5cio9qD7efj7H8Dlyx8DyDcLuImIiNyZEMDu3TKDvXy5\nDK7vvhvYtQto187ZvSNyHJtPpPzXv/6Ff/7zn/jiiy/wzDPP4KuvvsKMGTPw0ksvObJ/biofzz4b\nAOB1wxqe5GFf/CJD1nBckDUcF40jJwdITwe6dpXzaPv7A+vWyQD8+eeVF3BzXJC92ZzpVqlUmDZt\nGqZNm+bI/riN6nXdQ4YMwaZNmwztGTOA2bNvwH33fWQ48XLBggVWphokIiJyTQUFwOefy6x2QQEw\ncSKweDHQvz/n0qamp9aa7sWLF+Pee+8FACxYsKDGacWcGYgruf5Z/37pa7ZN3z8hBFSqexAfvxTe\n3oOwZctmAEBiYiIyMzMVe0xERES1uXBB1md/9hmwdy8wfrw8IVKtBmq5zhaRS3BYTfeyZcsMQffi\nxYsVGXS7Ao1Gg6SkJCuPfAZv76WYPv13nDhRWw04ERGRcpWVAd99JwPtTZvk1H5PPCGn+rM2xR9R\nU1Rr0L1mzRrDfdY2OcbcucCQIaXo1q07Tpw4gZEjR1rM8U11x/lVyRqOC7KG46J+KitlTfZnnwGr\nVwOJifKEyCVLgJAQZ/eu4TguyN5sPpGyb9++VtcnJCTYrTPubPPmzVbXx8cDZWWLkJDwI1JTU3lC\nJRERKZZ+ir+HHwbatAFefVXOp52TA/zwAzBlinsE3ESOYPM83cHBwSgpKTFbJ4RA8+bNceHCBYd0\nzhZKrulOS0tDenq6oX+m5TmmtdsqVRgiI4v+n707j4uqbB8//hlwYxk2cRd3IcU9lwBN3C0tV1wy\nFJen+pZl+VTWUwZk9i3L5afZY/X4TXFN09LHUkuNXMAsC1SwcEPBHUQYUJDl/P44zcjAIMM6A1zv\n12uU+5wz51zncAMXN9e5D7t2Qc+e1n1OQgghahZFgagodS7tTZvAzU0d0Z40CfI9ukOIGqEsOVqx\nSbe+pvurr75i0qRJRgeKj48H4NChQ6U6eHmw9gQ1f3z6pDs4OJgffvghX9Kt4csvFT79FCIjoVYt\n6z4nIYQQ1d/Zs2qSvXEjZGWpifbkydCpk6UjE8JyypJ3Flte0rZtW9q2bYtGozF83LZtW9q3b8/T\nTz/Njh07SnXgmsLUo2lDQkIKlZtMnQp16sDq1ZUVWfUm9yAIU6RfCFOkX9x39SosWwa9e0PfvnDz\nJnz5JZw7BwsX1qyEW/qFKG/FztOtrzH28fFh2LBhFR1PtWNujbaNDXz6KQwZAlC/IkMSQgghDFJS\nYPt2dUT7999h9Gg1wR4wAGqZ/TQPIURxzL6R8vfff+fYsWNGy44dO8aiRYvKPaiSCgoKMvxGGh4e\nbvTbqTW19aPeBdfrdekC2dnvANNNvj8kJMSqzsea2/o7zq0lHmlbR1u/zFrikbZ1tGvi94s7dyA4\nOJy+fcNp1Uq9CbJ//3C++iqcL79UB4AOH7aeeC3R1i+zlnikbdn2smXLCAoKoizMvpGycePGnD17\nFkdHR8MynU6Hp6cnV69eLVMQZWHtNd0FFazx1td065f17j2EX39dQ0REM3x87r+v4E2ZQgghRElk\nZ8O+feqI9q5dagnJU0+pI9vOzpaOToiqoUJruvWys7OpU6eO0bI6deqQlZVVqgMLVcGH5hw79iMw\nl3/8A+7du79NaGho5QdXheX/7VQIPekXwpTq3C/y8uDwYXj+eWjWDBYsgD594M8/Ye9emDZNEu6i\nVOd+ISzD7KS7R48erFy50mjZqlWr6NGjR7kHVZ3lv7HS1E2Wqi20agVWULkjhBCiilEU9fHr8+ZB\n69bw3HPQvDkcPQoRETB7NjRqZOkohah5zC4viYmJYfDgwTRt2pQ2bdpw/vx5rl69yo8//oi3t3dF\nx1mkqlZeYkrBcwgJCWHGjBB69FBHKB56SMpLhBBCPNj58/en+MvIUKf3e+op6NzZ0pEJUX1U6Dzd\n+el0Onbt2kViYiIeHh6MHDnSqMbbEqpj0q23fDl8/TWEh6uzm1SHcxVCCFF+rl2DLVvURPvCBQgI\nUBNtHx/I9zw2IUQ5qZSablCfSunn50ffvn2ZNGmSxRPu6u6FF9S67v/8x9KRVD1SiydMkX4hTKlq\n/eL2bQwzjHToAMePQ2goXL4Mn3wCvr6ScJeHqtYvhPUzewbOS5cuMXnyZKKiogDIyMhg69at7N27\nl/9IVlghbG3hiy9g4EB44glLRyOEEMJS7t6F775TR7T374dBg+DZZ2HnTrCzs3R0QghzmF1eMnz4\ncPr168ebb75J/fr1SUlJITU1lc6dO3Pp0qWKjrNI1aHkorhzePtt9U7zbduq/rkKIYQwT06OmmBv\n3Kgm1z17qqUjY8aAi4uloxOiZqqUmm43NzeSkpKwsbHB1dWVlJQUAJydnUlNTS3VwctDTUi6MzPB\n1fUimZlzUJRvKzEyIYQQlUlRIDJSTbS3blVnH3nqKZgwARo3tnR0QohKqelu3LgxZ86cMVoWGxtL\ny5YtS3VgYb569SAnZzrwKcnJlo6mapBaPGGK9AthijX0i5Mn4c03oU0bmDULmjRRp/c7ehReekkS\nbkuwhn4hqhezk+5XX32VkSNH8n//93/k5OSwadMmJk6cyOuvv16R8Ym/5eT8BGymf/9Tlg5FCCFE\nObhwAf73f9Up/UaOVEe5v/0WYmLgrbegbVtLRyiEKE8lmjJwx44drFq1iosXL9KiRQuee+45Ro8e\nXZHxFasmlJf4+voSGRkJ1MPL6y6hoTBxYuXFJ4QQonxcv65O8bdpE5w9C+PHq+Ujvr7q1LBCCOtW\nafN0W6OalXTDL78oPPGE+rQx+XOjEEJYv7Q0+OYbtU772DF1VPupp2DwYKhd29LRCSFKokJrun/7\n7TdOnjxpaN+4cYOnnnqKLl268Oyzz5Kenl6qAwvzRUREGD7u3Rv+8Q/1FRwcYrmgrJzU4glTpF8I\nUyqiX2Rmwvbt6ki2h4eadM+cqc6lvW4dPPaYJNzWTr5fiPJWbNL98ssvc+3aNUP7H//4B2fOnOGZ\nZ57h1KlTvPbaaxUaYE0QHBxcou3feQcuXYJ3342vmICEEEKUWE4O/PgjTJ8OTZvCypVqch0fr9Zq\nT5gA9vaWjlIIYSnFlpfUr1+fy5cvU69ePVJSUmjYsCGnTp3Cy8uLhIQEfHx8SExMrKx4C6kO5SXm\n0Pz9eDH9uXbtOpUTJxYTH9+AghPIhISEEBISUskRCiFEzaMo8MsvaunIli3QosX9Kf6aNrV0dEKI\n8lahNd0uLi6kpKSg0WjYs2cP//jHP0hISDCsd3R0tGiJSU1NurVaLenpz9OixfOcO9eSWrWMt60J\n10QIISwlJkZNtDdtgjp1YMoUmDwZ2rWzdGRCiIpUoTXdHTt2ZMuWLQBs3ryZwYMHG9ZdvnwZF3ks\nVqUoWILSuXNn4CM8PVvy3nuWicmaSS2eMEX6hTDF3H4RHw8ffABdu8Lw4ZCdDdu2wenTMH++JNzV\njXy/EOWt2KR70aJFPPvss7i6urJr1y7mzZtnWPfVV1/h5+dXoQEKVcFyEfXmSoWwMPjsMzh40CJh\nGZGSFiFEdXPjhlqb3bcv9OoFFy/CihXq/4sWQffu8PcfIoUQ4oHMmjIwLS2NuLg4vLy80Gq1huV/\n/fUXWq2WphYsXKtJpRQFz1Xf/v57eO45iIqCkSPV6QUtcU1q0udCCFF96XTqjY8bN6qPZB85Ui0d\nGTJELSURQtRcMk931T4FsxU8V39/f8Ofv155RR15uXrVl6NHJekWQoiSyMyE3bvVGu29e6F/f/WG\nyCeeAAcHS0cnhLAWFVrTLaxX/nozB4cFXLgAU6dGFP2GGkRq8YQp0i9Efrm5sH8/PP54OE2bwvLl\n6mj2hQuwcydMmiQJd00m3y9EeatV/CbCWjxoPu+FC9/hzz/n07cvQM9Ki0kIIaoSRYFff1VLR776\nCpo1Ux869sUX6sdCCFFRpLykGggJCSE0NBRFUdi+HcaNu8iNGy1p0KBy45DPhRDCWp0+fX+KP1tb\ntXRk8mTw9LR0ZEKIqqRSarpv3LiBnZ0dWq2WnJwcwsLCsLW1JTAwEBsby1Wp1PREz9dXvXES7s/h\nrdF8wKBBb7BnD0bzd1e0mv65EEJYl0uXYPNmNdlOSlLLRZ56SmYcEUKUXqXUdI8cOZKzZ88C8NZb\nb7F48WKWLl3K3LlzS3VgUZHeVv9928JhWJDU4glTpF9Uf0lJ8O9/w6OPQo8ecO4c/L//pybgH3+s\nLiuYcEu/EKZIvxDlzeyk+8yZM3Tr1g2A9evX8/3333PgwAE2b95cYcGJ4kVERBSq9Q4Ofpvu3Rex\naRNs326hwIQQopLodLB+PYwYoT6g5tAheO01uHJFfY5B//5gwT/ICiEEUILyEnd3dxITEzlz5gyT\nJk0iJiaG3NxcnJ2d5THwVsDUHN7Hjik8/rj64JwOHUq335CQELMfeiOfCyFEZcnKUqf227gR9uyB\nfv3UGu0nnwRHR0tHJ4Soriqlpvvpp58mLS2N5ORkhg0bxjvvvMPJkycJCAjgzz//LNXBy4Mkeqr8\n10Ff560oCl9+Ce+/D0ePQv36ZdtveW4rhBAllZurDiJs3Kj+Fa9zZzXRHj++dN/fhBCipCqlpvs/\n//kPI0aMYNasWfzrX/8CICkpSR79beWmT4fRo9UfStnZlo6m8kgtnjBF+kXVo5/ib+5c8PCAV18F\nLy/1Cbzh4fDss2VPuKVfCFOkX4jyZvbcFvXq1ePZZ581tO/evYuvry9169atkMBE6UVERKDJd6fQ\nBx+oifezz8Lq1XLXvhDC+v35pzq938aNavupp+DAAXjoIcvGJYQQpWX2SPc///lPjh07BsB3332H\nm5sbrq6u7Ny5s8KCE6Wnv7nS19eXVq082LQJTp6EmvKHCX9/f0uHIKyQ9Avrlph4f4aRgQPVGyQ3\nbYK4OAgNrbiEW/qFMEX6hShvZifdGzZsoFOnTgCEhoayfv16du7cyVtvvVVhwYnS05f9JCQkkJiY\niKMj1K49mg0b1CevlaUsqKTvNWd7KVMSomZKTr4/w0jXrvDXX7B4MSQkwJIl0LOn/HVOCFE9mH0j\npbOzM6mpqSQlJdGhQwdu3rwJgFarRafTVWiQDyI376mKug76MhNFUdBoNMTFKTz00HXy8magKN8V\n2t7X15eEhAQSEhKK3O+DjlWS5SXdpiTCw8NllEIUIv3COqSnw86d6ij2wYPw2GNq+ciwYWCJikXp\nF8IU6RfClLLkK2bXdLdv354NGzZw5swZhgwZAsDNmzext7cv1YFF+fH19X3g+uDgYMM206b5kpeX\nC+wiIgJMvTUxMbECohRC1GT37qlT/G3aBN9/D35+aqK9cSNotZaOTgghKp7ZI93Hjh1jzpw51KlT\nh9WrV9OuXTvWr1/P3r17WbduXUXHWSQZ6TaeIrAg/fXRb+Pj4/P3Y+OH0aDBHr7/Xv3zbX7+/v6G\nu7ar6ki3EMLy8vLUkexNm2DbNujYUU20x48Hd3dLRyeEECVXKfN0WytJ1lTmJLz6j/UlJxMnbiQ8\nfDI//ABdujz4PSU9ljnLS7qNEML6KQr88Yc6gr15MzRooM6lPWkStGhh6eiEEKJsKmWeboCffvqJ\n6dOnM3ToUGbMmMGBAwdKdVBhWfqZTTZvnszy5TB8OMye/UmR2/v6+uLh4WG0rOCNj8WVuFQ2mV9V\nmCL9ouLkn2FkwgSws4MfflAT8Ndft+6Eu3HjxnTo0IHu3bvTvXt3evTowcWLF7GxseHOnTul2md0\ndDRbt241Wta9e3eysrLKI2RRCeT7hShvJXo4zsSJE2nSpAljx46lcePGPPXUU3z++ecVGZ+oAPkT\n5gkTwMHhXVauHM2pU+qNsaYUrPMODQ2tyBCFEFXA5cv3Zxjp3x9SUmDdOjhzBhYsUMtJqgKNRsO2\nbdv4448/+OOPP/j9999p2bJlmfb5xx9/sGXLlkLL5NkWQtRgipnatWunREVFGS2Ljo5W2rZta+4u\nSuT8+fPKzJkzlfHjxz9wuxKcQrVW1HXIv1z/sY+Pj9FytT1JcXDQKXZ2A02+Jzg42GhZweMFBweb\nFUNJ4xdCWJfkZEX5/HNF8fdXFFdXRZkxQ1H27VOUnBxLR1Z6rVq1Uk6dOlVouUajUTIyMhRFUZRX\nX31V6dWrl9K1a1dl0KBBysWLFxVFUZTr168rgwYNUjp37qx07txZmTt3rpKcnKx4eHgoLi4uSrdu\n3ZQ5c+YU2l9sbKwyZMgQpUuXLkrnzp2VtWvXVtLZCiHKoiz5itnvdHNzU7KysoyWZWZmKm5ubqU+\nuDkk6TZPaZLu/v37G637/ntFcXdXFBj6wP0WTLr1+wOMkvP825tabk78QgjLS09XlE2bFOWJJxTF\nyUlRAgIU5ZtvFCUz09KRlY+WLVsqDz30kNKtWzelW7duSq9evRRFMU6Sk5KSDNt/8cUXyqRJkxRF\nUZQlS5Yozz77rGHd7du3FUVRlDVr1hT6+aXfX3Z2ttK+fXvl66+/NqxLTk6umJMTQpSrsuQrZpeX\n+Pn5MXfuXDIyMgBIT0/n1VdfLVEt74wZM2jUqBGdO3c2Wr5nzx4eeugh2rdvz4cffmj2/kTpRERE\nAPDzzz8bLX/sMfj2W4AwvvrK9Hv1n299XXhBRZWdVHY5itTiCVOkX5jv+nX48ksYNw6aNYO1ayEg\nQH1ozZYtMHq0ZebUrghZWVlG5SX6py/n9/333+Pj40Pnzp1ZvHgxUVFRAPj4+LB7925ef/11vvvu\nOxwcHAAeeKPVX3/9RW5uLuPGjTMsc3NzK+ezEmUl3y9EeTM76V61ahUnTpzA2dmZhg0b4uLiQnR0\nNKtWrTL7YNOnT2fPnj1Gy3Jzc5k9ezZ79uwhNjaWTZs2cfr0afPPQJQLfRLt5wcwhLlzoV69OYb1\nBW+czN/WJ/GmWNsNlkII0xQFoqLgvfegTx/w8oLdu9Xk+uxZ9ePAQHBysnSkle/ixYvMnTuXzZs3\nc/LkSVavXk1mZiYAjzzyCFFRUTz88MOsW7eOAQMGWDhaIYS1Mivpzs3NZc+ePfzwww9cuHCB//73\nv1y4cIGDBw/SrFkzsw/Wr18/XF1djZYdO3aMdu3a0apVK2rXrs2kSZPYsWMHt27d4rnnniMqKkpG\nv0spf8JbXPKrT6LV7U5y8CBkZc0B3kFR7o9UF5VgFzXybSnyFDFhivQLY3fvwnffwf/8jzq7yPjx\n6mPZ338fbtxQR7QDA6v/nNr16tV74Mh0WloaderUoVGjRuTl5RkNNsXHx+Po6MjEiRNZvHgxx48f\nB8DJyYnU1FST+/Py8qJWrVp8/fXXhmW3bt0qp7MR5UW+X4jyZtYTKW1tbXnllVeYMWMGHh4ehaaP\nK4vLly8b7a958+b88ssvuLm5mT2Knn/U1d/fX75Q/qZ/lLspwcHBDyz5aNsWHn54DsePv4W7ezjg\nCBQ9u0lISIjR/kJCQggJCSEiIsIwL7gQwvKuXIFdu9RXeDj06AEjR8KPP6qj2zX1y3X8+PHUq1cP\nUGcz+eKLLwzfuzp37kxAQAAdO3bE3d2dxx9/nMOHDwPqVLpLly7F1taWvLw8PvvsMwAGDx7M4sWL\n6datG/7+/ixbtsywv1q1arFjxw5mz57Nu+++i42NDa+99hpTpkyxwJkLIR4kPDy83EqNzH44TmBg\nIAEBATz55JNlOmB8fDxPPPEEJ0+eBGDbtm3s2bOHL774AoD169fzyy+/sGLFCrP2Jw9VUZXk4Tig\nJs/p6emF3lPw6ZYaTV0aNvyKGze8+PPPDvTs+eD3gfqLU2JiotFxoegaxwc9UbO0wsPD5ZcvUUhN\n7Bd5eXD8+P1E+8IFdW7+J56AYcNASolrZr8QxZN+IUwpS95p1kg3wN27dxk/fjy+vr40b97ckEhp\nNBrCwsJKdXCAZs2aGY3IJiQk0Lx581LvT5S3e1y/PhqN5h/07fsF69frGD36wUNhBef0FkJUrowM\ndeR61y61fMTFRR3NXroUfH2hltnf+YUQQpQXs0e6C95Il/+R4iWp5y040p2Tk4OXlxf79++nadOm\n9O7dm02bNtGhQwfzTkBGuoGSj3SX9D0ajYbISIWAAEhMfJecnHewtS38vvyKGunWl56YE78Qoni5\nuepo9v79sG8fHDum3gw5cqT6atfO0hEKIUT1UJZ8xeykuzxMnjyZn3/+meTkZBo2bMi7777L9OnT\n2b17Ny+//DK5ubnMnDmTN9980+x9SrKmKs+kW58Qh4SEGLbRJ8rXr0Pjxj/h6zuANWugfXvjY+kF\nBwcb9qNfrl9WcJ8PikUIUZiiwJ9/qgn2/v3w88/qtH6DBsHgwerTIWviLCNCCFHRKjTpPnLkCDt3\n7jQ5g8i8efMYM2YMjzzySKkOXh4kWVOVZ9Kdf52pbTQaG5Yty2PBAggJgeefBxsb46S74HHyLze1\n7/L+PEotnjClKveLxMT7I9n790Pt2mqCPWgQDBwIjRtbOsKqqyr3C1FxpF8IU8qSrxQ7ZeDC4kYF\nqgAAIABJREFUhQt59NFHTa7z9/dn4cKFpTqwsE4Fyz5MU5gzByZNWsGGDTBkCFy8WJHHE6LmuXUL\ntm1Tf6n18oJu3dT67L594eBBiI+H1avhqack4RZCiKqg2KQ7KiqK4cOHm1w3ePBgfvvtt3IPqqSC\ngoIM07kUnNqlprT1dfWmprYpyf5CQ0OLfT+oM46sXPkS770XTtu24fTsCfACoCnyvabaBY9XXtdD\nPzphLZ8faVtHW7/MWuLJ375zBz76KJzJk9Wvp1at4MMPw1GUcDZvVufNfv75cLy8wmnXTp3az5ri\nr8pt+X4hbVNt/TJriUfalm0vW7aMoKAgyqLY8hKtVsuNGzews7MrtO7OnTs0bNiQ9PT0MgVRFlJe\n8mAlKS/JP3Xfg8tLNPj4+BhN8xcbC97e4YATU6eeYO3aIKN96hXcd8FlQtQUt27BL79AZCQcOgS/\n/qqOZuvrsvv0gTp1LB2lEEKI/Cq0vMTLy4u9e/eaXPfjjz+aPcuIqDqKe3plcHBwoSdTduwIMABY\nxOHDQQwfrj5SWj9LTUmVtewk/2+nQuhZql/k5KhfD6tWQVCQWi7SqhV8/LE688hrr8HVq3D4MISG\nQr9+knBXJvl+IUyRfiHKW7Gztc6dO5dnn32W3NxcxowZg42NDXl5eXzzzTe88MILLFmypDLiFJXA\n3KdH6hNi01NFfsXp05v5/HP1ARz16n1NevpzQHyJYgkNDZV6b1Fl3bgBR4+qo9hHj8Jvv0Hz5uDj\no86TPXcueHtTaNpNIYQQ1ZdZUwYuWbKE4OBgMjMzcXd3Jykpibp16/Luu+8yd+7cyoizSFKW8GAl\nnb2kYFlJSa5vwfm4dTpYvBhCQ5OBr5k9+x4rVrxoVJ7i5OREampqiWZWEcKa3LsH0dFqcq1PtFNS\n1PIQHx945BHo3RtcXS0dqRBCiLKqlHm6U1NTiYyMJDk5mfr16+Pj44Ozs3OpDlqeJDl7sJIm3fq5\ns8sj6b6/vCEwG3f3d+jXD775xpdHHoGjRyMN2+c/TkU8Fr6qMvUgIWE5eXnqrCF//HF/FDsqCtq2\nVZPrRx5RE21PT3UaTSGEENVLlXk4TkWQpPvBKmKeblPy3zBpKpEPDQ0lPV2hU6fFxMePokuXdpw4\n8T/ABhQlzeg4Hh4eJCYmlunzGh5ePeZXlf5dvsztF7m5cP68eoNw/teff4K7O3Tpcn8Uu1cv0Gor\nPnZRcarL9wtRvqRfCFPK8nO52JpuUT0Vd7NkedKP1Do4QFJSCPAaixfnMWTIQOB91Bl4huLj04/E\nxHgSEhLMqi0XoqxycuDcOYiJMU6u4+KgUSO17rpjR3VGkRdfhA4dJMEWQghROtUi6Q4KCiIoKAh/\nf3/D3cb5512tye1p06YZ/bZe8G7sot5fcJvijpf/JkxT2+sT7xYtWhAbG8vgwQATAFccHbcDoRw/\n7kl2digffxwO1MbDw4N169ZV6PWx5rb+FyNzrr81tkNCQgzLLR2Pr68/Z8+qj0tfuzacO3f8iY2F\nv/4Kp0EDePhhf7y9oVWrcPr3h6ef9sfBwbqup7SlLe3KbeuXWUs80rZse9myZURFRVEWUl5SgxSs\nD37QtStY220OjUZDcHBwsTXI+UtX9NtrNBrOnlV45pl9HDvWmPT0ZsCPfPnlBE6cWMLRo1+TkJBA\nQkJCic+zrCxVV22tte3mXA9zYvf19TX7c2qurCx1lDr/qHVMDFy4AC1aqKPWHTveH8H28gITjyAQ\nQgghTJKa7qp9ChZjzrUradJtzram6sUL30h5jief/JwjRxxITu5GvXoZZGbup02b62Rk/MiVKwdM\n3qim1WpJT0/np59+MhqtKKgkibQl+5g19m9zYrK1tSUvL6/YpLukv1Skp0NiIiQk3H/p2xcuwKVL\n0Lr1/eRan2C3bw/16hmPWgmhJ/1CmCL9QpgiNd2iSso/z3f+j/WlKjt2jPo7MTtKZGQeb73VkGPH\nmpKUFECdOmnUqnWcV18dQKdO0KmTOmNERkaG0TGKGk2VecBLR2tmQbO9vX2Jn1R7927RCbX+lZWl\nznft4XH/1asXjBmjPmymXTt5qIwQQgjrJCPdNZilR7ofJP9IdMFR6ZCQEHbt+pXjx2sRHLyDFSt+\nIi2tBbVqtUWjOcfdu8fo168pQUH9Wbx4NrGxu8jOjqfW379ilnSEtSqOdFdE6Qbc/0uCuZ/n9HSF\nGzfg5s3CrzVrvuPmTejWbQQJCeoodrNm95Ppgsm1hwe4uYHcYyuEEMJSpLykap+CxVhz0m0OfTKu\nT6Lv3FH480/o0SMQaIe9vTc9eownMvIqublutGlTlxYt4NSpvSQlneDjj1+jfn2oX19N5vQvV9f7\no6X66Q7LEm/BXxr8/f0NN2g8SFlqustaD64okJkJGRlqMpyefv/jwYNHsWbNDm7fVh8Co/8//8e3\nb0Ni4h3s7Oxp0ACjV8OG9z+eOfMJfv31v3h4qG1TJUNCCCGEtZDyElEj6RPZiIgIQkJCsLOD7t2h\nefNwEhPXc+cOxMc3p3dvDyIjj7N7dxYJCXDlyjCmTj1AYiKcOAHJyXDr1v1XSop6c52bG1y8+CTg\nz+OPg729utzevvDHBw7sIiBgJPXqQa1axq/Q0EMMHHi//fPP6fz2m5rY6uk/zv9/VFQ9oA9/T3+O\noqjzR+fkQHa26f/1HwcGRhAZOYdFi9TkOSvr/v/6j+/eNU6m83+ckaH+4uHgAI6O9/93dASYyf79\n6i8nLi5qWUe3bvfbrq4wffpoUlN/IS3t6gM/h5cuPUzPnuXXJ4ojNZrCFOkXwhTpF6K8SdItqoX8\nI8kzZ84kPj6e/fv3A/drxD09ISjIl+PHjwP3WLr0Q5P7UhRIS4OmTTsB9QAtL7zgz927cOeO+sr/\n8a1b8N13ibi5qcmsPjHOyYEjR44Bb/H22/eXwWc895x6rPylEvqP9f/b2i4H0nnllfzLoHZtNXkv\n+H/BZdCWpCSoW1f9xcDVVb2ZsF49dZmd3f1EumBybW+PoRyn8LX+nZCQJx/4+ahb9wY63bUHbqPu\nK6TYbYQQQojqQMpLarCqXl5iSlFlFfpjPujJmQXp65eL21a/Tx8fH2JiYkhNTTWsy/90TV9fX44e\nPYqiKCb3Z2pGldJeq5LUXlcUeYS9EEKI6qYsOUy1qKAMCgoy1MiGh4cb1ctKu2xt/cN1zNk+ODjY\nrP3nV97x5k94C6738PDg/fffp1atWkYP8ilqfzqdjoJMba8/5smTJ0lLSzNar3+4j359wS/U/PsL\nDQ01atva2hq2Ken1uHPnTom2r4h2SEiIRY8vbWlLW9rSlnZ5tZctW0aQ+gjtUpOR7hrMUteuoo+r\nfxJi/lo8jUZD8+bNSUhIKPEMHFD8qLhGo8HHx6fUo+ymRujNPbYp1jDSbY3Cw6VGUxQm/UKYIv1C\nmFLjR7qFyK9gSYP+cer66fN0Oh39+/c3a1/55w8vbruIiIgH7iMiIsLs/QH4+PiYvW1BnTt3LvV7\nhRBCCFH+ZKS7BquuI90FlXX6vJLEa04dc1H7M7W8TPOByteGEEIIUa5knu6qfQoWU1OS7rIes7zj\nLWp/5XkjZVnfK4QQQojCpLxEVCklKbEorfw3P1ibokpbTI2QV8a1qkmsuV8Iy5F+IUyRfiHKmyTd\notLV9GnkSvKNvKZfKyGEEKK6kPKSGqwmXbuaWKYh82QLIYQQ5Utquqv2KVhMTbp2NTHpFkIIIUT5\nkppuIQqQWjxhivQLYYr0C2GK9AtR3mpZOoDyEBQURFBQEP7+/oYvEv2E9tIuuq1/gqS1xFOebb2i\n2mXdn6XPT9qla0dFRVlVPNK2jraetcQjbetoy/cLaedvL1u2zNAnSkvKS0SNUJb6ZqmNFkIIIQRI\nTbck3UIIIYQQosJJTbcQBej/LCREftIvhCnSL4Qp0i9EeZOkWwghhBBCiAom5SVCCCGEEEKYQcpL\nhBBCCCGEsGKSdItqSWrxhCnSL4Qp0i+EKdIvRHmTpFsIIYQQQogKJjXdQgghhBBCmEFquoUQQggh\nhLBi1SLpDgoKMtRehYeHG9VhSbtmtvXLrCUeaVtHe9myZVYVj7Sto61fZi3xSNs62vL9Qtr528uW\nLSMoKIiykPISUS2Fh4fj7+9v6TCElZF+IUypCv3Czc2NlJQUS4chRI3h6urKrVu3Ci2Xx8BX7VMQ\nQgghHkh+1glRuYr6mpOabiGEEEIIIayYJN2iWspfhyWEnvQLYYr0CyFEZZCkWwghhBBCiAomNd1C\nCCGElZOfdUJULqnpFkIIIYRVadWqFfb29mi1Who3bsz06dPJyMgAwN/fHzs7O5ycnHB2dqZnz558\n+OGH3Lt3z2gfZ86cYdKkSTRs2BBnZ2c8PT156aWXuHz5ssljrlmzBltbW7RaLVqtljZt2jBjxgzO\nnDljdtxBQUHMnz+/9CcuRAlJ0i2qJanRFKZIvxCmSL8oG41Gw65du9DpdPz+++/89ttvvPfee4Z1\nK1euJC0tjWvXrrF48WI2b97M448/bnj/2bNn6dOnD82bNycqKorU1FSOHDlC27ZtOXz4cJHH9fPz\nQ6fTkZaWxr59+7Czs+Phhx8mJiamws9ZiNKQpFsIIYQQ5aJp06YMHz7cKPHV/ynezs6O/v37s3Pn\nTiIjI/nuu+8ACAkJoV+/fnz88cc0bdoUgAYNGjBnzhwmTpxY5LH0+9VoNLRp04aVK1fSv39/QkJC\nDNsEBATQpEkTXFxc6N+/P7GxsQB8/vnnbNy4kUWLFqHVahk1ahQAH3zwAe3atcPJyQlvb2++/fbb\n8rs4osaTpFtUS9b+oAthGdIvhClVvV/4+vri6+tr0X3oE+CEhAR2795N9+7dDes0Go3Rth4eHvTs\n2dMwir1//37GjRtX6mPnN3bsWA4dOmRojxgxgrNnz3Lz5k169OjBlClTAHjmmWeYMmUK8+bNQ6fT\nsWPHDgDatWvH4cOHSUtLIzg4mKeffppr166VS2xCSNIthBBCiFJTFIXRo0fj6upKv3798Pf351//\n+tcD39O0aVPD0/6SkpJo3LixYd0nn3yCq6srWq2WZ555pkSxNGnSxOgpgkFBQTg4OFC7dm2Cg4OJ\njo5Gp9MZxZ7f+PHjDbFMmDCB9u3bc+zYsRLFIERRJOkW1ZLUaApTpF8IU6p6v4iIiCAiIsJi+9Bo\nNOzYsYOUlBTi4+P55JNPqFu37gPfk5iYiJubGwD169fnypUrhnWzZ88mJSWFl19+mezs7BLFcvny\nZcN+c3NzeeONN2jXrh3Ozs60bt0aUJP8ooSFhdG9e3dcXV1xdXXl1KlTJCcnlygGIYoiSbcQQggh\nKk1CQgK///47/fr1A2DQoEFs37690HalmZbtm2++4dFHHwVg48aN7Ny5k/3795OamsqFCxeM9luw\n7OXixYs888wzrFy5klu3bpGSkkKnTp1kqkZRbiTpFtVSVa/RFBVD+oUwRfpFxdInrXfu3OHnn39m\n1KhR9OnTxzCDSUhICIcOHeKf//ynYcQ7KSmJ06dPF0qMTcnNzeXChQu8+OKLHDx4kODgYADS09Op\nW7cubm5uZGRkFCp5adSoEefPnze0MzIy0Gg0uLu7k5eXx5dffsmpU6fK5RoIAdUk6Q4KCjL8eTA8\nPNzoT4XSlra0pS1taVeHdlU1e/ZsnJycaNy4Ma+88goBAQHs2bPHsL59+/b88ssvJCYm0rVrV5yc\nnOjbty/NmzdnwYIFJvep0WiIjIxEq9Xi7OzMgAEDSE9P59dff8Xb2xuAqVOn0rJlS5o1a0anTp3w\n8fExSuJnzpxJbGwsrq6ujB07lo4dO/LPf/4THx8fGjduzKlTp+jbt2/FXhxh1fJ//S1btoygoKAy\n7U+eSCmqpfDwcBm9EoVIvxCmVIV+IT/rhKhc8kRKIYQQQgghqiAZ6RZCCCGsnPysE6JyyUi3EEII\nIYQQVZAk3aJaqg43H4nyJ/1CmCL9QghRGSTpFkIIIYQQooJJTbcQQghh5eRnnRCVS2q6hRBCCCGE\nqIIk6RbVktRoClOkXwhTpF8IISqDJN1CCCGEKBeKoqDVaomPj7d0KEJYHanpFkIIIayctf6sa9Wq\nFTdu3MDW1hZQ44yLi6Nx48YABAUF4eHhUeTj3IWwVlLTLYQQQgirodFo2LVrFzqdDp1OR1pamiHh\nFkIYk6RbVEtSoylMkX4hTJF+Ub5sbGw4d+4cn3/+ORs3bmTRokVotVpGjRpl6dCEsKhalg5ACCGE\nEFVXUX+Cf+aZZ4iMjMTDw4N3333XApEJYV0k6RbVkr+/v6VDEFZI+oUwpTr0C42mfPZT0lJVRVEY\nPXo0tWqp6YSpa2mNtehCWIIk3UIIIUQVZ6m8VqPRsGPHDgYOHGhYZmMjlatCmCJfGaJakhpNYYr0\nC2GK9IuKoymvIXghqgFJuoUQQghRIRo1asT58+ctHYYQVqFaJN1BQUGGkYrw8HCjUQtp18y2vq7Q\nWuKRtnW09cusJR5pW0e7qny/qCryj27PnDmT2NhYXF1dGTt2rAWjEqLk8n/9LVu2jKCgoDLtTx6O\nI4QQQlg5+VknROWSh+MIYaaqODokKp70C2GK9AshRGWQpFsIIYQQQogKJuUlQgghhJWTn3VCVC4p\nLxFCCCGEEKIKkqRbVEtSoylMkX4hTJF+IYSoDJJ0CyGEEEIIUcGkplsIIYSwcvKzTojKJTXdQggh\nhBBCVEGSdItqSWo0hSnSL4Qp0i+EEJVBkm4hhBBClIqjoyNarRatVouNjQ329vaG9qZNmwCIjY3l\nySefxMXFBScnJwYOHEhkZCQAhw4dMmzv6OiIjY2Noe3k5ERCQgL+/v7Y2dkZlmu1WkaNGgWovzDZ\n2NgUesR8dHQ0NjY2DBgwwGTc8fHxRsfSv7Zu3QpAUFAQdevWRavVUr9+fYYOHcpff/0FQEhICIGB\ngWZdn/nz59O5c2dq165NaGhoofUbN26kZcuWODo6MmbMGFJSUgzrtmzZgq+vLw4ODkWeh97Ro0cZ\nMmQI9evXp2HDhkyYMIFr164Z1v/0008MGDAAFxcXWrdubfJ6DBgwAAcHBzp06MD+/fvNjvP111+n\nRYsWODk50bx5c+bOnUtOTo5Z16emkaRbVEv+/v6WDkFYIekXwpRq3y8uXYItW2DfPsjLK9ddp6en\no9Pp0Ol0tGzZkl27dhnakydP5ty5c/j5+dG1a1fi4+O5evUqY8aMYejQoRw9epR+/foZto+JiQEg\nNTUVnU5HWloaHh4eaDQaVq5cadhOp9OxY8cOQwwNGjTg6NGj3Lp1y7Bs7dq1eHp6otFoHhi//lj6\nV0BAAKDW7c6bNw+dTkdiYiINGzYkKCioxNenffv2fPTRR4wYMaJQLDExMTz33HNs2LCB69evY29v\nz/PPP29YX79+febOncsbb7xR7HFu377Nc889x8WLF7l48SJarZbp06cb1js6OjJr1iw++ugjk++f\nPHkyDz/8MLdu3WLhwoWMHz+epKQks+KcOXMmsbGxpKWlcezYMX744Qf+85//lOg61RSSdAshhBBV\nWVQUfPcdJCYWXhceDh07wqxZMGYMPPYY5OZWWmghISH4+fmxYMECXFxccHBw4MUXXyQwMJB58+YZ\nbVvam9Pq1KnD6NGj2bx5MwC5ubls2bKFKVOmlMvNp3Z2dkyePJlTp06V+L1Tp05l+PDhaLXaQrFs\n2LCBJ598kr59++Lg4MCCBQvYvn07GRkZAAwaNIjx48fTpEmTYo8zfPhwxo0bh6OjI3Z2drzwwgsc\nOXLEsL5Xr15MmTLF5Ch3XFwcf/zxB6GhodStW5exY8fSpUsXtm3bZlacXl5eODo6Aurn0MbGxqyY\nayJJukW1JDWawhTpF8KUKt0vZs8GPz+YMgW8vOD7743XBwZCRgbodJCeDkeOwN8lFAaHDkHfvtCt\nGyxZAuU4S8q+ffsMo8f5BQQEcOTIEbKysszaT3HJc2BgIGFhYQDs3buXTp060bRp0zLtV78uPT2d\nDRs20KNHD7NiNVdsbCxdu3Y1tNu0aUPdunWJi4sr874PHjxIp06dzNo2JiaGNm3a4ODgYFjWtWtX\nw18eYmJiio3zgw8+QKvV4uHhwciRIw3lP8KYJN1CCCFEVXTkCKxZA3fuQGqq+v/EicYlJNevG7/n\n3j3jEfE//oDhw9V9RUfD/Pnw/vvlFmJSUpLJUc8mTZqQl5dnVBJSFEVReOmll3B1dTW8goODjbbx\n8fHh1q1bxMXFERYWxrRp08yKz93d3Wi/+rptRVH4+OOPcXV1pX379ty5c4c1a9aYtU9zpaen4+zs\nbLTMyckJnU5Xpv2eOHGCBQsWFFlKYk4cWq2W9PR0ADIyMoqN84033kCn03H8+HE2bNjA9u3by3QO\n1ZUk3aJaqvY1mqJUpF8IU6psv7hwAQrWLGdmqqPaet27g63t/Xbt2tC79/32+vVqsq535w6sWlVu\nIbq7u3PlypVCy69evYqNjQ2urq7F7kOj0bBixQpSUlIML1M3JQYGBrJixQrCw8MZM2aMWaUlycnJ\nRvv18vIyHPO1114jJSWFq1ev8u2335oszSgLR0dHUlNTjZalpqai1WpLvc+zZ8/y+OOPs3z5cvz8\n/MyOIy0trcg4ShJn9+7def7551m3bl0pz6B6k6RbCCGEqIq6di1cn+3uDk5O99vbtoGnp5ps164N\nCxfCo4/eX1+nDtgUSAVq1Sq3EAcPHmyYESQ//cwc9erVK7djPf300/z73/9mxIgR5bLfopL24m7O\nLErB93l7exMdHW1onzt3jnv37uHp6Vmq4128eJEhQ4bwzjvvMGXKFLPj8vb25vz584aRbVBnf/H2\n9i5RnHrZ2dlGpSriPkm6RbVUpWs0RYWRfiFMqbL9onNnWLoU6tYFe3to0AD27DEe/W7eHGJi1DKT\njAx4+WXjfcyaBQ4O999jbw/vvFNuIQYHBxMREcHbb79NSkoKOp2OFStWsG7dOj788EOz92POqHXr\n1q05ePAgCxcuLPN+i6v1zsvLIysri8zMTDIzM4usTc/JySEzM5Pc3Fyys7PJzMwk7+/ynylTpvDf\n//6Xw4cPk5GRwfz58xk3bpwhYc3LyyMzM5Ps7GzD8bKzs00e5/LlywwcOJDZs2fzzDPPmIxZvy9F\nUcjKyuLevXsAeHp60q1bN0JDQ8nMzGT79u2cOnWKcePGFRunoih89tln3L59G0VROHbsGJ9++mmh\nKRzF35QqrhqcgqgAP/30k6VDEFZI+oUwpSr0iwf+rEtPV5T4eEXJzi7dzv/8U1GCghRl7FhF+eab\n0u1DUZRWrVop+/fvL7T81KlTysiRIxUnJyfF0dFRGTBggHLkyJFC2124cEGxsbFRcnNzjZb7+/sr\n9erVUxwdHQ2vnj17Koqifu48PDxMxvOf//xHGTBggMl1Fy5cUDQajdE+HR0dlaVLlyqKoihBQUHK\n/PnzTb43JCRE0Wg0Rq+iYpg2bVqhbdeuXWtYv3HjRqVFixaKg4ODMnr0aCUlJcWw7ssvvyz03unT\npz8wpvznotVqDet/+uknwz5sbGwUjUZjdG3i4+MVf39/xc7OTnnooYcKfR6LijMvL08ZPny44ubm\npmi1WqVTp07K6tWrTcZY1RT1NVeWvFPz9w6qLI1GUy5TAgkhhBDWSn7WCVG5ivqaK8vXopSXCCGE\nEEIIUcEk6RbVUpWt0RQVSvqFMEX6hRCiMkjSLYQQQgghRAWTmm4hhBDCysnPOiEql9R0CyGEEEII\nUQVVi6Q7KCjIUJMXHh5uVJ8n7ZrZ1i+zlnikbR3tZcuWWVU80raOtn6ZtcRTVFsIUbnyf/0tW7aM\noKCgMu1PyktEtRQeHl51H+0sKoz0C2FKVegX8rNOiMpVEeUlknQLIYQQVk5+1glRuaSmWwghhBBC\niCpIkm5RLUkdpDBF+oUwRfpF+fD398fNzY179+4ZLQ8KCmL+/Pkm32NjY8P58+cN7bi4OAICAmjQ\noAEuLi507dqVpUuXkpeXR3x8PDY2Nmi1WqPX1q1bTe771VdfxdPTEycnJzp06MC6deuM1kdFRfHw\nww/j4OBAz549iY6ONqw7deoUw4YNo0GDBtjYFE6Vnn76aZo0aYKTkxNt2rRh4cKFRV6XNWvWYGtr\naxSzk5MT165dA6BVq1bY29uj1Wpp3Lgx06dPJyMjo9hrB5CWlsbLL79My5Yt0Wq1tGvXjldeeYXk\n5GQAHB0djY5bq1YtXnrpJQBiY2Pp2bMnbm5uuLi44Ofnx+HDh4s8lig7SbqFEEKIauzSJdiyBfbt\ng7y8ijlGfHw8x44do2HDhuzcudNonUajQaPRFLuPc+fO0adPH1q2bMmpU6e4ffs2W7du5fjx46Sn\npxu2S01NRafTGV4BAQEm9+fo6MiuXbtIS0tj7dq1zJkzh8jISADu3bvHqFGjmDp1Krdv32batGmM\nGjWK7OxsAOrUqcOkSZNYvXq1yX2/+eabXLhwgbS0NHbv3s2KFSvYs2dPkefm5+dnFHNaWhqNGzc2\nXJ9du3ah0+n4/fff+e2333jvvfeKvXb37t1j0KBBnD59mr1796LT6YiMjMTd3Z1jx44BkJ6ebjjm\ntWvXsLOzY8KECQA0a9aMrVu3kpycTEpKCpMmTWL8+PFFnoMou1qWDkCIimDtN0UJy5B+IUyp6v0i\nKgouX4auXaF5c+N14eEwciTY2ICigK8vfP892NqWbwxhYWEMHjyYPn36sHbt2kLJmzk1sMHBwfTt\n25ePP/7YsMzT05P169cDcOvWrRLFFBISYvi4d+/e9OvXj6NHj+Lj40N4eDi5ubnMmTMHgBdffJGP\nP/6YAwcOMGzYMDw9PfH09OTs2bMm9+3t7W3UrlWrFg0bNiwyFnNrgJs2bcrw4cOJiYkp9r1hYWEk\nJCTw888/Y29vD0CDBg146623TG7/9ddf06hRI/r27QuAs7Mzzs7OAOTk5GBjY0OTJk0KAvi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"text": [ "" ] } ], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `Collider` function is the core of the program and requires several parameters to be defined.\n", "\n", "\n", "`N`: The number of iterations will determine how many data points will be generated, but will also increase the run time. For 1,000 Au+Au collisions at 200 GeV, the program takes approximately 20 minutes to run.\n", "\n", "`Particle 1` and `2`: The ions that will be collided.\n", "\n", "`A1` and `A2`: The number of nucleons in the colliding particles. Defining these explicitly helps the program separate different isotopes of the same element.\n", "\n", "`Energy`: The beam energy in GeV which determines the inelastic cross section for the interaction. The program supports any beam energy between 3 and 60,000 GeV.\n", "\n", "`bRange`: The range at which the impact parameter, $b$, can be drawn. A `bRange` of 1 means that the largest impact parameter possible will be equal the to sum of the radius of both nuclei, the most peripheral collision.\n", "\n", "`Model 1` and `2`: The models used to determine the nuclear charge density distributions for the ions that will be undergoing collisions. From Ref [2]. The models included are:\n", "\n", "* `HO` : The harmonic-oscillator model.\n", "* `MHO`: The modified harmonic-oscillator model.\n", "* `MI` : Model-independent evaluation of the form factor.\n", "* `FB` : Model-independed analysis by means of a Fourier-Bessel expansion.\n", "* `SOG`: Model-independed analysis by means of an expansion for the charge distribution as a sum of Gaussians.\n", "* `2pF`: Two-parameter Fermi model.\n", "* `3pF`: Three-parameter Fermi model.\n", "* `3pG`: Three-parameter Gaussian model.\n", "* `UG` : Uniform Gaussian model.\n", "\n", "`Range`: The number of root-mean-square radii at which nucleons can be placed in a nucleus. A range of 2 guarantees the full radius of the nucleus. Larger values of the range will give more realistic nuclei but less precise nucleon placement.\n", "\n", "`Bins`: The number of bins in which a nucleon can be placed into a nuclear radius. More bins give more realistic nuclei but takes longer to simulate. \n" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#The following parameters shows 1000 Au+Au collisions at 200 GeV\n", "N=1000\n", "Particle1='197Au'\n", "Particle2='197Au'\n", "A1=197\n", "A2=197\n", "Energy=200 #GeV\n", "bRange=1.1\n", "model1='2pF'\n", "model2='2pF'\n", "Range=2\n", "Bins=100\n", "help(Collider) #Shows the documentation for the Collider function" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Help on function Collider in module GlauberModel:\n", "\n", "Collider(N, Particle1, A1, Particle2, A2, model1, model2, Energy, bRange=1.1, Range=2, Bins=100)\n", " Simulates N collisions between specified Elements (with number of nucleons A)\n", " and using Center of Mass Energy [GeV]. \n", " Returns the matrices corresponding to center-to-center seperation distance \n", " (Random value between 0 and bRange*(radius of nucleus1 + radius of nucleus2) [fm]), \n", " Nuclei 1 and 2, number of participating nucleons, and the number of binary \n", " collisions. Additionally returns the interaction distance of the nucleons \n", " given the choosen beam energy and the radii of both nuclei.\n", "\n" ] } ], "prompt_number": 8 }, { "cell_type": "markdown", "metadata": {}, "source": [ "When the `Collider` function is run, it returns the data that will be used to display the results." ] }, { "cell_type": "code", "collapsed": false, "input": [ "b,Nucleus1,Nucleus2,Npart,Ncoll,Maxr,Rp1,Rp2=Collider(N,Particle1,A1,Particle2,A2,model1,model2,Energy,bRange,Range,Bins)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 9 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Once the collider function has finished running, the arrays containing the data can be utilized using the `PlotNuclei`, `ShowCollision`, and `PlotResults` functions." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `PlotNuclei` function graphs the radial density distribution of both particles. This is the distribution that the `distribute1d` function samples from." ] }, { "cell_type": "code", "collapsed": false, "input": [ "help(PlotNuclei)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Help on function PlotNuclei in module GlauberModel:\n", "\n", "PlotNuclei(Nucleus1, Nucleus2, Particle1, Particle2, model1, model2, Rp1, Rp2, Range, Bins)\n", " Plots the nuclear charge density for each nucleus and \n", " shows the root-mean-square radius.\n", " Blue corresponds to nucleus 1 and green to nucleus 2.\n", "\n" ] } ], "prompt_number": 10 }, { "cell_type": "code", "collapsed": false, "input": [ "PlotNuclei(Nucleus1,Nucleus2,Particle1,Particle2,model1,model2,Rp1,Rp2,Range,Bins)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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PLtLv4sWLadasGfHx8ezdu5e9e/cSHx9PcHCw7SS8tm3bsnz5cgoKCti9ezerVq0q8bxr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\nPlJAQECJZi1NhmGoU6dOSklJUc+ePe3H33rrLaWkpGjbtm039Jnefvv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"text": [ "" ] } ], "prompt_number": 11 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `ShowCollision` function plots the colliding nucleons with an outline of the rms radius of the nuclei." ] }, { "cell_type": "code", "collapsed": false, "input": [ "help(ShowCollision)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Help on function ShowCollision in module GlauberModel:\n", "\n", "ShowCollision(N, Particle1, A1, Particle2, A2, Rp1, Rp2, Nucleus1, Nucleus2, b, Npart, Ncoll, Maxr)\n", " Plots a cross-sectional and horizontal view of the last collision.\n", "\n" ] } ], "prompt_number": 12 }, { "cell_type": "code", "collapsed": false, "input": [ "ShowCollision(N,Particle1,A1,Particle2,A2,Rp1,Rp2,Nucleus1,Nucleus2,b,Npart,Ncoll,Maxr)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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HH3/QP/74Iz116lTD97777jtDNbADBw7Q69evpwMDA+nOnTvTCoXC0C4sLKxJ4gAKCgro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\nX/g/yGMRB5Cbm4vFixdDpVJh/vz5yMjI0Hn/SVUAptL2aCfaDAhg9g+ys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vq8s45TDGcxyaqjGrbBYlegnBWJB/fv2f89bwp5xeodl9c1lzUQUIRa8AfvOb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ybx05/ux7//+x5cccVi3HzzaSWJYDY1eK9y6JxYB87t+Si2HHwUDUoW9fk0uhqaoMlscpaav36W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\nAXa7ndzcXK699towN4eyTf/DH/7A9ddfT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"text": [ "" ] } ], "prompt_number": 16 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The red and yellow points are nucleons that have collided with other nucleons. Blue and green nucleons escaped the collision unwounded." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `PlotResults` function plots the number of binary collisions and participating particles versus the impact parameter as well as the average value for every femtometer." ] }, { "cell_type": "code", "collapsed": false, "input": [ "help(PlotResults)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Help on function PlotResults in module GlauberModel:\n", "\n", "PlotResults(b, Npart, Ncoll, Particle1, Particle2, N, Energy, bins=10)\n", " Plots number of collisions and participants as a function of impact parameter. \n", " Shows average trend over data using specified number of bins.\n", "\n" ] } ], "prompt_number": 13 }, { "cell_type": "code", "collapsed": false, "input": [ "PlotResults(b,Npart,Ncoll,Particle1,Particle2,N,Energy,27)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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Pxxg5ciTmz5+PiRMn4ubNmzAzM8OJEycqHWTUJOX2U35Yx8bG8mU9evTgp/YC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\ni3nggQdQVZWtW7cyceJE5syZQ1lZGd/4xjfo378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brRAW6UK32cGgq463+HwdulA6VJWM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05vxDOk9XH9+99BQ+UPWPPyn1p9f9p6P/3z8ji8cWPCm4t4zw1NyiwtLmb8hx+y2uVit9fLCE1j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\nWGNFRVTwt8ZoZIbHw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Hcm9zt2wqcQ4swgfbyFEOIMEbeAMCODCR0cJhMZaFbX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\nPJmNGzd2uO4rr7zCOeecQ1JSEiaTiYSEBK655hqKi4s7jXPFihV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"text": [ "" ] } ], "prompt_number": 19 }, { "cell_type": "markdown", "metadata": {}, "source": [ "These results match those from Ref. [1] for RHIC Au+Au collisions. As a double check the results for Cu+Cu collisions at 200 GeV are generated and shown below." ] }, { "cell_type": "code", "collapsed": false, "input": [ "N=1000;Particle1='63Cu';Particle2='63Cu';A1=63;A2=63;Energy=200;bRange=1.1;model1='2pF';model2='2pF';Range=2;Bins=100\n", "b,Nucleus1,Nucleus2,Npart,Ncoll,Maxr,Rp1,Rp2=Collider(N,Particle1,A1,Particle2,A2,model1,model2,Energy,bRange,Range,Bins)\n", "PlotResults(b,Npart,Ncoll,Particle1,Particle2,N,Energy,22)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Multiple parameters detected for specified model. Using primary values.\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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q1Yq9fftWZvnx48cZx3Fs7969/DLpdRg7dqzCvIrXrjHG2Pnz5xXWrJZ0nhs2bChzj71+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2wKTJ+pLC/n5L592HSNZuweDyQn47VaWXTPPb1+YxI8FyXNzbh8x9aL7GjF+ptr1lB47FhAd8n8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\nGhg1tujobm5c9xxrr3yTjo4H6ej4Fr0dIR7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EkYRypkzycse/nvmdhlxRWlud1Nc7iYmx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"text": [ "" ] } ], "prompt_number": 20 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Because the two-parameter fermi model for Cu-63 has two different sets of parameters, the program alerts us and defaults to the first set. However, once again, the results of Figure 1 are reproduced, allowing one to be confident in the accuracy of the program." ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Analysis" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "RHIC will also be performing He-3 and Au-197 collisions at 200 GeV in the future. The program can easily simulate these types of collisions to provide expected outcomes of the collisions." ] }, { "cell_type": "code", "collapsed": false, "input": [ "N=1000;Particle1='197Au';Particle2='3He';A1=197;A2=3;Energy=200;bRange=1.1;model1='2pF';model2='FB';Range=2;Bins=100\n", "b,Nucleus1,Nucleus2,Npart,Ncoll,Maxr,Rp1,Rp2=Collider(N,Particle1,A1,Particle2,A2,model1,model2,Energy,bRange,Range,Bins)\n", "PlotResults(b,Npart,Ncoll,Particle1,Particle2,N,Energy,40)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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auHAhEhMT0b9/f/j4+IAxhgMHDuDGjRuIjo5WrFeRa+r+/fvo1asXsrOzMXXq\nVJw5cwZnzpzhrRMWFqb4iroqryl1tm7diuDgYAQEBGDcuHFo3rw5srOzcfLkSfTt2xeTJ0+GlZUV\n4uPjMWjQIDRp0gSRkZHw8/NDdnY2rl+/jr1792Lfvn280Vltp29oOv9Tp05FYmIiZs6ciePHjyMo\nKAh2dnZ48OABjh07BktLSxw/flyr/Qjx9/fHzJkzsXTpUnTv3h3Dhw9Hbm4uNmzYgLy8POzatUsl\noKrITdeV1axZMzRv3hxLly5FXl4e/P39cfPmTWzYsAEtW7bk3bR7/PhxTJgwAUOHDoW/vz9sbGyQ\nnJyMzZs3o2PHjoqRzqZNm6JTp04ICAiAm5sb0tPTsWHDBojFYowcOVJje/T5HlFWRd7XNYmOjkZC\nQgLeffddnD9/Hk2aNMHp06dx9uxZODs7CwbIr732Grp27YqdO3dCJBLpbSS3WbNm+L//+z+MHDkS\nrVq1QlhYGDp27Ag7OztkZmbi999/x/79++Hg4MCbrrFjxw707NkTLVu2RGRkJJo1a4a8vDzcvn0b\ne/fuRVxcnMq3LM7OzhgwYAD+7//+DwAQExOjc5u9vb0Fg3ijUy25QQgLDAxUpCISiURMJBIp/lZO\nk8NYaeqZzp07MycnJ2ZhYcGaNGnCZs2axXJyctTWv2jRIiYSidimTZsEl1+9epVxHMeGDh2qsZ27\ndu1iIpGILV68WFH222+/sS5dujALCwvm7OzMJk6cyLKzsyud/k4kEumc/m7hwoWsW7duTCKRMDMz\nM2ZnZ8c6derEVq9eLZjsnyvngSyBgYGCD2TJyspiM2fOZP7+/oqHNLRs2ZJNmzaNXbt2TbFeUlJS\nhfpj27ZtvNR7yteDSCRSeeBHQUEBmzNnDvPx8WFisZj5+fmx2NhYlQdUyP36668sODiY2djYMFtb\nW/bmm2+qPFhC17rLUpfq7vz586xLly7M2tqacRynkrrp4MGDrE+fPorHWHt5ebF+/fqx9evX89bT\n1K95eXls5syZzNvbm1lYWDB/f3+2ZMkSduzYMZV0dowxtn37dtasWTNmbm7Oq1d+PZZd/9WrV+yj\njz5ivr6+zNzcnEkkEjZmzBj24MED3nrqtmeMsYiICCYSiRR/JyUlsREjRjAfHx9maWnJnJycWMeO\nHdnmzZt521XkmpKnQFO+jspeX9V5Talz48YN3sMf3Nzc2ODBg1XquXr1Khs9erTiwS0SiYR16dKF\nxcbGsmdVhBgbAAAgAElEQVTPninWCwwMFEwJpu6aVHf+GWOsuLiYrV27lr3xxhvM2tqaWVtbM39/\nfzZ69GiWmJioWE/TuS6P/IEsFhYWiqdCKj+QpbzjEqKpPT4+Pir/XxhjbP78+SrXxP3799mwYcNY\n/fr1FQ8/2bdvn8q6d+/eZZMmTWJNmzZldnZ2zNramjVr1ozNmzePl34vLi6Ode/enbm4uChe38OH\nD6/QNVPZ94itW7cK/p/R9n1dqJ+UlX0gy4ABA9idO3dYvXr12FtvvSW4zY4dOxjHcSwkJETrfmBM\nu5SI6enpbPbs2axt27bM3t6emZmZMRcXFxYcHMxWrFjBe+3I3b9/n02aNIn5+Pgwc3NzVq9ePda+\nfXv28ccfqzywSe7QoUOM4zhmamqq8l4oROj8CP1PMFYcY9X4sZcQQgghpJZ6+vQp6tevr8geVdae\nPXswcuRI7Nq1CyNGjNC63sDAQNy9e1cxL1noWzdDI58m4+LigoiICN600dqEpnYQQgghhFRQfn6+\nSpYP+T0VvXr1Etzm888/R/369RU3YGqL4zg8fPgQ9evXh6mpKQoLC3VrdDXJyMhQZNip6ScgVzUK\npAkhhBBCKqhfv36KG0VlMhmOHTuGgwcPokuXLrzMN5mZmTh69ChOnz6N06dPIy4urtxc2mWtWLEC\n2dnZAFDprFTVoV69ery0t2XTVtYmNLWDEEIIIaSCVq5cifj4eNy7dw/5+fnw9PREWFgY5s2bB2tr\na8V6SUlJ6NmzJxwdHTFy5EisXbtWq5zzxDhQIE0IIYQQQogOjHZqR+vWrQWf5EMIIYQQQoi+9OjR\nA0lJSYLLjHZEmuO4as2zSaqHukeXE+NG57V2ovNaO9F5rZ3ovOpOU8xp+DPWCSGEEEIIMUAUSBNC\nCCGEEKIDCqSJQQkMDKzpJpAqQOe1dqLzWjvRea2d6LxWDZojTQghhBBCiBqaYk6jzdpBCCGEEGKM\nnJyc8Pz585puBinD0dERz549q9A2NCJNCCGEEFKNKIYxTOrOC2XtIIQQQgghRM8okCaEEEIIIUQH\nFEgTQgghhBCiAwqkCSGEEEJIlUhKSoKnp6fibx8fHxw7dqwGW6RfFEgTQgghhBD4+PhAIpEgLy9P\nUbZp0yYEBQXpbR8cx4HjOL3VV9MokCaEEEIIIQAAmUyGNWvW1HQzjAYF0oQQQgghBuBcYiKWDB2K\nFaGhWDJ0KM4lJlZrHRzHYcaMGVi+fDlycnJUlv/111/o1asX6tWrhwYNGmDx4sUAAKlUimnTpsHd\n3R3u7u6YPn06CgsLK9x2Y0SBNCGEEEJIDTuXmIikqChEnz2LD5OTEX32LJKioioUCOujjvbt2yMw\nMBDLly/nlb98+RIhISHo168f0tPTcfv2bQQHBwMAFi1ahPPnz+Py5cu4fPkyzp8/j9jYWK33acwo\nkCaEEEIIqWEn16/HrMePeWWzHj/GqY0bq7UOjuOwYMECrFu3DllZWYryH3/8Ea6urpg+fTrMzc1h\nY2ODgIAAAEBCQgLmzp0LZ2dnODs7Y968edixY4fW+zRmFEgTQgghhNQwU6lUsNwkP79a6wCA5s2b\no3///oiLi1PcGPjw4UP4+fkJrp+WlgZvb2/F315eXkhLS6vQPo0VBdKEEEIIITWsWCwWLC+xtKzW\nOuRiYmKwceNGpKamAgA8PT2RkpIiuK6bmxvu3bun+PvBgwdwc3Or8D6NEQXShBBCCCE1rMfEiYiT\nSHhliyUSdB8/vlrrkPPz88OIESOwZs0acByH/v37Iz09HWvWrIFUKkVubi7Onz8PAHj77bcRGxuL\nrKwsZGVlYcGCBQgPD6/wPo2RaU03gBBCCCGkruvYqxewdCmWbtwIk/x8lFhaImj8+NLyaqxD2dy5\ncxVznW1sbJCYmIipU6ciJiYGYrEY06dPR0BAAObMmYMXL16gZcuWAIDhw4djzpw5inpqU97osjjG\nGKvpRuiC4zgYadMJIYQQUodRDGOY1J0XTeeLpnYQQgghhBCiAwqkCSGEEEII0QEF0oQQQgghhOiA\nAmlCCCGEEEJ0QIE0IYQQQgghOqBAmhBCCCGEEB1QIE0IIYQQQogOKJAmhBBCCCFEBxRIE0IIIYQQ\nogMKpAkhhBBCCHx8fCCRSJCXl6co27RpE4KCgqpsf8ePH6+SuqsLBdKEEEIIIQQAIJPJsGbNmird\nR3FxMYDa8ah0CqQJqYRziYlYMnQoVoSGYsnQoTiXmFjTTSKEEGKkbty4j88/P47Vq5Pw+efHcePG\n/Wqtg+M4zJgxA8uXL0dOTo7KcpFIhHXr1sHPzw/169dHVFSUIhC+c+cOevbsCWdnZ9SvXx+jR4/m\n1eHj44OlS5eiVatWsLGxwahRo/DgwQOEhobC1tYWy5cvr/CxGgIKpAnR0bnERCRFRSH67Fl8mJyM\n6LNnkRQVRcE0IYSQCrtx4z62bbuNzMyeyM4ORGZmT2zbdrtCgbA+6mjfvj0CAwPVBrb79u1DcnIy\nLl68iB9++AFbtmxRLJs9ezbS09Nx7do1PHz4EPPnz+dtu3v3bvz000/IyclBQkICvLy88OOPPyI3\nNxczZszQuo2GhAJpQnR0cv16zHr8mFc26/FjnNq4sYZaRAghxFgdPXoHYnEwr0wsDsaxY3eqtQ6O\n47BgwQKsW7cOWVlZKsujo6Ph4OAAT09PTJs2Dbt27QIA+Pn5ITg4GGZmZnB2dsb06dNx8uRJXr1T\npkyBu7s7xGKx1u0xdBRIE6IjU6lUsNwkP7+aW0IIIcTYFRUJh2SFhdqHavqoAwCaN2+O/v37Iy4u\nDhzH8ZZ5enoqfvfy8kJaWhoA4PHjxxg5ciQ8PDxgb2+P8PBwPH36VO22tQUF0oToqFjNJ+oSS8tq\nbgkhhBBjZ2YmEyw3Nxcur6o65GJiYrBx40akpqbyyh88eMD73d3dHQDw8ccfw8TEBFevXkVOTg52\n7NgBmYy/37JBedm/jREF0oToqMfEiYiTSHhliyUSdB8/voZaRAghxFiFhPhBKj3GK5NKjyE42K9a\n65Dz8/PDiBEjsGbNGl7Au3z5cmRnZ+Phw4dYu3YtRowYAQB4+fIlrK2tYWdnh9TUVCxbtqzcfUgk\nEty5o/20E0NEgTQhOurYqxcCly7F0q5dsaJdOyzt2hVBS5eiY69eNd00QgghRqZJE29ERDSCi8tx\nODgkwcXlOCIiGqFJE+9qrUPZ3LlzeTmlAWDgwIFo164d2rRpg/79+yMyMhIAMG/ePFy8eBH29vYI\nDQ3FkCFDyh1x/uijjxAbGwtHR0esXLlSpzbWNI4ZaQK/2pB7kBBCCCF1j7HGMCKRCLdv34avr29N\nN6VKqDsvms6XaVU3ihBSNc4lJuLk+vUwlUpRLBajx8SJNBpOCCGEVCMKpAkxQvIc1srp9+Lu3AFo\nagkhhJAqUhtuDtQ3miNNiBGiHNaEEEKqW0lJSa2d1qErCqQJMUKUw5oQQgipeRRIE2KEKIc1IYQQ\nUvMokCbECFEOa0IIIaTmUfo7QozUucREnNq4ESb5+SixtET38ePpRkNCCDECFMMYJl3S31EgTQgh\nhBBSjSiGMUy6BNK1YmrHucRETOvWDeNcXTHJ1RVR3brhXGJiTTeLEEIIIYTUYkYfSJ9LTMSuSZPQ\n4Nw5bH7yBF89eYJPzp3Dwf/8h4JpQgghhBAdBAYGwsnJCYWFhVVWv6WlJR49eqQoO3r0KBo2bFgl\n+5Pvc/PmzXqt0+gD6ZPr18MtLQ2zZDJFma1MhujUVMqpSwghhBBSQffu3cP58+fh4uKC/fv3V9l+\nrK2tsXDhwiqrX44xBplMViUPlDH6QNpUKoWp0LwVxiinLiGEEEJIBcXHxyMkJATh4eHYvn07AEAq\nlcLBwQF//fWXYr3MzExYWVkhKysLALB06VK4ubnBw8MDmzZtgkgkQkpKiuA+OI7DlClTsGvXLrXr\n+Pj4IC4uDs2bN4eTkxMiIyMh/ec5CtnZ2ejfvz9cXFzg5OSE0NBQpKamKrYNDAzEnDlz0LVrV1hb\nW2PMmDE4ffo0Jk+eDFtbW0yZMkUvfWX0jwgvFosBoU8YHEc5dQkhhBBiNLgY/Y+YsnkVv6kxPj4e\nMTExCAgIQExMDDIzM1G/fn0MGTIEu3btQmxsLABgz549CAwMhLOzMw4fPoxVq1bh+PHj8PHxwfjx\n48sdAXZ3d8f48eMxb9487NixQ3CdhIQEHDlyBFZWVggNDUVsbCwWLlwImUyGcePG4bvvvkNxcTEi\nIyMxefJk7N27V7Ht119/jUOHDqFJkyaQyWRITU1FeHg4IiMjK9wn6hj9iHSPiROR5uaGONG/h5Ir\nEiHO3Z1y6hJCCCGEVMCZM2eQmpqKAQMGoHHjxmjWrBl27twJABg1ahR2796tWDchIQGjRo0CUBpU\nR0ZGomnTprC0tERMTEy5mUk4jsNHH32EAwcO4O+//xZcPnnyZLi7u8PR0RGzZ8/Grl27AABOTk4Y\nPHgwLCwsYGNjg48//hgnT57kbRsREYGmTZtCJBLB1LR07Fjf2VKMPpDu2KsX3v7qKzzu1AnjJBL8\nRyJBbKdO6P/ll5RTlxBCCCGkArZv347evXvD1tYWADBs2DDF9I7AwEDk5eXh/PnzuHfvHi5fvozB\ngwcDANLT0+Hp6amox8PDQ6v9OTs7Y/LkyZg7d67gCLZynV5eXkhLSwMA5OXlYeLEifDx8YG9vT16\n9OiBnJwcXqCsvK2cvudJG/3UDqA0mKagmRBCCCFEd/n5+dizZw9kMhlcXV0BlM6Nzs7OxpUrV9Cy\nZUsMHz4cu3btgouLC0JDQ2FtbQ0AcHV1xcOHDxV1Kf9enpkzZ8LX1xcBAQEqyx48eMD73d3dHQCw\nYsUK3Lx5U3FT5KVLl9C2bVswxhTBctmguSpuNqwVgTQxbDdu3MfRo3dQVCSCmZkMISF+aNLEu6ab\nRQghhBgUXeYz69O+fftgamqKy5cvw9zcvLRNjGH48OGIj4/H8uXLMWrUKAwcOBDOzs749NNPFdsO\nHz4ckZGRCA8Ph5eXl1bZOOSjx/b29vjwww+xZMkS2NnZ8ZZ/8cUX6N+/PywtLbFo0SKMGDECAPDy\n5UtYWlrC3t4ez549Q0xMjNr65SQSCe7cuVPxjtHA6Kd2EMN248Z9bNt2G5mZPZGdHYjMzJ7Ytu02\nbty4X9NNI4QQQoiS+Ph4REZGwsPDAy4uLnBxcYFEIsHkyZORkJAAmUyGgIAA2NjYID09HX379lVs\n++abb2LKlCkICgqCv78/OnXqBAAQi8Vq96c8Qjx16lSYmpryyjiOw6hRo9C7d2/4+fmhcePGmDNn\nDgBg2rRpyM/Ph7OzMzp37oy+ffuWOwI9depUfPfdd3BycsK0adN07yjlfdAjwklV+vzz48jM7KlS\n7uJyHO+/r1pOCCGE1HZ1IYa5du0aXn/9dRQWFkIk0m3ctmHDhti8eTN69qyeeKHOPiKcGK6iIuFL\nrLCQLj1CCCGkNtm7dy+kUimeP3+O6OhoDBgwQOcg2ljU7qMjNc7MTCZYbm4uXE4IIYQQ47RhwwZI\nJBI0atQIZmZm+PLLL2u6SVWOpnaQKiWfIy0WByvKpNJjiIhoRDccEkIIqZMohjFMukztqPFAuqSk\nBO3bt4eHhwcOHDiAZ8+eYcSIEbh//z58fHywZ88eODg4qGxHF6HxuHHjPo4du4PCQhHMzWUIDqas\nHYQQQuouimEMk1EG0itXrkRycjJyc3Oxf/9+REVFwdnZGVFRUViyZAmeP3+OuLg4le3oIiSEEEKI\nMaIYxjAZXSD96NEjREREYPbs2Vi5ciUOHDiA1157DSdPnoREIkFGRgYCAwNx/fp1lW3pItQfyvNM\niHr0+iCE6BvFMIbJ6LJ2TJ8+HcuWLePd0fn48WNIJBIApYmzHz9+XFPNqxMozzMh6tHrgxBCiCY1\nFkj/+OOPcHFxQZs2bdQPl3NclTzOkfzr6NE7vBsBAUAsDsaxY/p98g8hxoheH4QQQjSpsUeEnz17\nFvv378dPP/2EgoICvHjxAuHh4YopHQ0aNEB6ejpcXFzU1jF//nzF74GBgQgMDKz6htcylOeZEPXo\n9UEIIcbl3r178PX1RXFxMUQiEQIDAxEeHo5x48ZpXUdSUhKSkpK0WrfGAulPP/1U8Yz2kydPYvny\n5dixYweioqKwfft2REdHY/v27Rg0aJDaOpQDaaIbyvNMiHr0+iCE1FWBgYG4cuUKMjIyYG5uXiX1\n//bbb7h16xY8PDwAAEePHsX48eNx9+5dve1Hl9kNZQdnY2Ji1K5rMMMq8oOcNWsWEhMT4e/vj+PH\nj2PWrFk13LLaLSTED1LpMV6ZVHoMwcF+NdQiQgwHvT4IIXXRvXv3cP78ebi4uGD//v1Vth9ra2ss\nXLiwyuqvDgYRSPfo0UNxopycnHD06FHcvHkTR44cEcwhTfSnSRNvREQ0govLcTg4JMHF5Tg9LIWQ\nf9DrgxBSF8XHxyMkJATh4eHYvn07AEAqlcLBwQF//fWXYr3MzExYWVkhKysLALB06VK4ubnBw8MD\nmzZtgkgkQkpKiuA+OI7DlClTsGvXLrXrPHz4EGFhYXBxcYGzszP++9//AgBkMhliY2Ph4+MDiUSC\nsWPH4sWLF/rsAq3V2NQOYjiaNPGmwIAQNej1QQipLklJ+k+wEBhY8TR78fHxiImJQUBAAGJiYpCZ\nmYn69etjyJAh2LVrF2JjYwEAe/bsQWBgIJydnXH48GGsWrUKx48fh4+PD8aPH1/ulAp3d3eMHz8e\n8+bNw44dO3jLSkpK0L9/f4SEhGDnzp0QiURITk4GAGzbtg3bt29HUlIS6tevjzFjxmDy5MmIj4+v\n8LFWVq0JpI0t16uxtbe6nUtMxMn162EqlaJYLEaPiRPRsVevmm4WIYQQUqudOXMGqampGDBgAGxt\nbdGsWTPs3LkT06ZNw6hRozBx4kRFIJ2QkID//Oc/AEqD6sjISDRt2hRA6bzihIQEjfviOA4fffQR\nGjVqhL///pu37Pz580hPT+elSe7cuTMAYOfOnfjwww/h4+MDAFi8eDFatGiBbdu26asbtGYQUzsq\ny9hyvRpbe6vbucREJEVFIfrsWXyYnIzos2eRFBWFc4mJNd00QgghpFbbvn07evfuDVtbWwDAsGHD\nFNM7AgMDkZeXh/Pnz+PevXu4fPkyBg8eDABIT0+Hp6enoh75DYTlcXZ2xuTJkzF37lzeCPbDhw/h\n7e3Ne9aIXHp6Ory9/x189PLyQnFxcY08e6RWjEirz/V63CBHeY2tvdXt5Pr1mFXmxTDr8WMs3biR\nRqUJIYSQKpKfn489e/ZAJpPB1dUVQOnc6OzsbFy5cgUtW7bE8OHDsWvXLri4uCA0NBTW1tYAAFdX\nVzx8+FBRl/Lv5Zk5cyZ8fX0REBCgKPP09MSDBw9QUlICExMT3vpubm64d++e4u8HDx7A1NQUEokE\nDx480OXQdVYrAmljy/VqbO2tbqZSqWC5SX5+NbeEEEIIqT66zGfWp3379sHU1BSXL19WpLxjjGH4\n8OGIj4/H8uXLMWrUKAwcOBDOzs6KNMYAMHz4cERGRiI8PBxeXl5aZeOQP5DP3t4eH374IZYsWQI7\nOzsAQEBAAFxdXTFr1izExMRAJBLh4sWL6Ny5M95++20sWbIEffv2hbOzMz7++GOMHDlScPRaeT9V\noVZEbsaW69XY2lvdisViwfISS8tqbgkhhBBSd8THxyMyMhIeHh5wcXGBi4sLJBIJJk+ejISEBMhk\nMgQEBMDGxgbp6eno27evYts333wTU6ZMQVBQEPz9/dGpUycAgFjN/3QAvKkcU6dOhampqaLMxMQE\nBw4cwO3bt+Hl5QVPT0/s2bMHABQBe/fu3eHr6wsrKyusW7dOsF6hv/WJY1UZplchjuMUnzDkc46V\np0tIpccMNk2VsbW3usnnSCtP71gskSBo6VKa2kEIIcToKccwtdW1a9fw+uuvo7CwUO1IsaFRd140\nna9aEUgDpcHpsWN3UFgogrm5DMHBhp0Fw9jaW93OJSbi1MaNMMnPR4mlJbqPH09BNCGEkFqhtgbS\ne/fuRb9+/ZCXl4exY8fC1NQU33//fU03S2t1OpAmhBBCCDEGtTWG6du3L3799VeYmJggMDAQX3zx\nBSQSSU03S2sUSBODJJQT2tHL36jyaFNea0IIIfpCMYxhokCaGByh+c4f2kuQ1ep9NHxtvKLMkOeI\nCx1DnESCQJqzTQghRAcUwxgmXQJp45j9TYyWUE5o3zRzpP3pwCsrzaN9pzqbpjV1ea1PbdxYQy0i\nhBBCiCGgQJpUKaGc0EVMDK6oSKXcUPNoU15rQgghhAgxzMiF1BpCOaHNOCmYmZlKuaHm0aa81oQQ\nQggRQoE0qVI9Jk5EXJk7du+4FcLt9WxemVR6DMHBftXZNK0JHcNiiQTdx49XswUhhBCinqOjIziO\nox8D+3F0dKzwuaSbDUmVE8oJ7ejlb1R5tCmvNSGEEFI3UdYOQgghhBBCdKAp5jSt5rbUiPJyAB86\ndBbbtl1GYaEZzM2LEBHRCn37dq5U/caQJ1ne7mtXr+Ll/ftwtLBAsbU1uk2ejMhZs/RWv1C/G1Ne\nZqG2Aqiy9htT39QFdD4IIYSoU+sDacEcwHfuAP/kAD506CwWLPgbYvF/FMsXLNgEAFoF04J5kv+6\no5Inedu2Y4iIgMEE0/J2u9y6hfRXr7ANgKygAFxODqYvWIAtQKWCaU39DkDjOTEkQsfxyaVLeMEY\n1ihl7dBX+8u7Xkn1ovNBCCFEk1p/s2F5OYC3bbsMsfg93nKx+D1s23ZJ5/qNIU+yvN2n8/Ox+p8y\nEQDGGFZLpTjz2Wd6qV+ZvN+NKS+zUFujUlPhnpbGK9NX+42pb+oCOh+EEEI0qfUj0uXlAC4sVE3D\nVlpurnP9xpAnWd5uSzVzfiwE2q9L/WVpyr1siHmZhY6DYwwmAuvqo/2Us9qw0PkghBCiSa0PpMvL\nAWxuLhwwmpsX6ly/MeRJlrc7n+MAgWC6QKD9utRfVomlJZhMuB8MMS+z0HEwjkOJwLr6aD/lrDYs\ndD4IIYRoYjhDpFWkvBzAERGtIJVu4i2XSjchIqK1zvUbQ55kebu7WVpi2j9lMpTemTrN3BxdJ0/W\nS/3K5P1uTHmZhdq6xN0dqW5uvDJ9td+Y+qYuoPNBCCFEkzqR/q68HMClWTsuobDQHObmhYiIaF3h\nrB3GmCdZ3u6/r1zBq/v34WBhgRJra3TVY9YOdf1uTHmZhdoKoMrab0x9UxfQ+SCEkLqN8kgTQggh\nhBCigzqRR7oyuV6rKk/sjRv31eaSpty0tROdV0IIIaTuqBWBdGVyvVZVntgbN+5j27bbEIuDFWXy\nXNLPH9yk3LS1EOUcJoQQQuqWWnGzYWVyvVZVntijR+/wgmjg31zSlJu2dqLzSgghhNQttSKQrkyu\n16rKE1tUJNy1hYUiyk1bS9F5JYQQQuqWWhFIVybXa1XliTUzE86VbG4uo9y0tRSdV0IIIaRuqRWB\ndGVyvVZVntiQED9Ipcd4ZfJc0pSbtnai80oIIYTULbUm/V1lcr1WVZ7YGzfuq80lTblpayc6r4QQ\nQkjtQnmkCSGEEEII0UGdyCMNGHYOX005pYHqa7s+9qNtHeUdsyZlt61nmYFzW79E7u3bMANg16gR\nwubONZjzK6fLMZftT+9+YXia30ClDkO+vgkhhJC6qNaMSAvm8JVIEGgAOXyFckpLpccQEdFIESBV\nR9v1sR9t6yjvmDUpu+2jO3dw6UAUeuQexgoUAAByRSIs9fbGW19+WePnV06XYy7bnzeKTTCR64ZG\nvRfCw89PUUerxo9xb90yg7y+CSGEkNpM04h0rbjZEDDsHL6ackoD1dd2fexH2zrKO2ZNym57LzkZ\nDi/bwE/mpSizlckQnZpqEOdXTpdjLtufR6VuCMxrh/sXL/Lq2L3ugMFe34QQQkhdVWumdhhyDl9N\nOaWB6mu7PvajbR3lHbMmZbcVFReXbgsL/oqMGcT5ldPlmMv2ZxErTaHHFRXxymVSTnB7Qzp+Qggh\npK6pNYG0Iefw1ZRTGqi+tutjP9rWUd4xa1J2W5lp6WVq/s+0DgWOM4jzK6fLMZftTzNOCjCAmZnx\nykVi4a+UDOn4CSGEkLqm1kztMOQcvppySgPV13Z97EfbOso7Zk3KbuvTrh2ybf7AHdEDRVmuSIQ4\nd3eDOL9yuhxz2f4MEachySoZ3m3b8uoY+d9Qg72+CSGEkLqq1txsCBh2Dl9NOaWB6mu7PvajbR3l\nHbMmZbd1ssjAb9u+wovbt2GO0qwdgz/5xGDOr5wux1y2P73eHIRnBQ1U6jDk65sQQgiprSiPNCGE\nEEIIITqo9Xmkdc1XLN/u1tVbuHsuCa85ZMOpnrXG/LzyXL5PHj1Cxu3bMJfJ8MLEGs/sWqFV71A0\nbtEYISF+eP7gJi/nb/327ZF54UKdygFMeY+rVmXydBNCCCGk8ox+RFrXfMXy7TIf+eBeYiK6vnoF\nKTuFCKuL2OvuLJifV57zN/D+fRx/8QKzSkrwB8TYg65I5roj194er/fvj6Ki43C+/AVW5JSmKztX\nUIDdBQVYamkJ839uLqvtOYANOa93bVCZPN2EEEII0V6tziOta75i+Xb3kpPR9dWr0u247jgmdVOb\nn1ee8/dkfj5mlZRABOAcGsIEXdGVMdjl5uL+xYtIvWIPvzTzf7fLz8dqqRSFeXmKstqeA9iQ83rX\nBpXJ000IIYQQ/TD6qR265iuWbyfPUazY7p88vkL5eeU5f02VPpUU4d/0ZVxpxeCU6uGtX+bTTG3O\nAWzIeb1rg8rk6SaEEEKIfhh9IK1rvmL5dvIcxYrtuNIAUCg/rzznbzH378MxzPBvwMhKKwZjTFEP\nb32O/1CN2pwD2JDzetcGlcnTTQghhBD9MPrhK13zFcu382nXDmesrUu3Y6cQLE5Tm59XnvO3h6Ul\n4n9RlUQAACAASURBVExMIAPQEXdRgjM4zXF4YWsL77Zt4d4yB3fcCv/dztIS08RimFtZKcpqew5g\nQ87rXRtUJk83IYQQQvTD6G82BHTPVyzf7uaft3D/tyT422ejXn1bjfl55bl8Hz94gMe3b8OMMbww\nscJzu1Zo2SsU/q83RnBwadYO5Zy/zm3bIuvixTqVA5jyHletyuTpJoQQQoh2KI80IYQQQgghOqi1\neaQHtxgGP/dCDJ0xucqeAqguD7I2OXyFtgegtk595V3WNr+wfL1Hj7KQkvIUvr4SeHg4GEQ+4t1b\nErBr3QEwKQdOzPD2f0MxMnJUteSmpvzXpSqTp5r6kBBCSF1g1CPS82yWQ8pOodDzAYat1W9+Yk15\nkB29/MvN4Su0/VRLS9hxHBYqpcGT1wlAL3mXtc0vLF8vN7cRLl26DVPTYBQXp6B1ayfY2ibXaD7i\n3VsS8NVHPyIwr52iLMkqGb1GN4TJ8Z+qNDc15b8uVZk81dSHhBBCapNanUdazHWHX5q53vMTa8qD\nrE0OX6Ht3dLSEJ2aKlinvvIua5tfWL5eSsodmJqWrm9q6ou7d5/XeD7iXesO8IJoAAjMa4cfNx+r\n8tzUlP+6VGXyVFMfEkIIqSuMemqHXCET6z0/saY8yNrk8BXa3lTNpxlNba/ocWmbX1i+nkzGLy8p\n4QTXr05MygmWi4qFL1d9nnvKf12qMnmqqQ8JIYTUFbUikDbnpHip5/zEmvIgW2iRw1do+2JOOEAs\nsbQEkwnXWdG8y9rmF5avJxLxy01MmOD61YkTC3/gkJkWC5brMzc15b8uVZk81dSHhBBC6gqjn9oh\nZadw261Q7/mJNeVB1iaHr9D2aW5uWOLuLlinvvIua5tfWL6er68fiotL1y8uTkHDho41no/47f+G\nIskqmVeWZJWM/uOCqzw3NeW/LlWZPNXUh4QQQuoKo77ZcHDzIfD1LMbQ/31QZVk71OVB1iaHr9D2\nANTWqa+8y9rmF5av9/BhFlJSsuDr2wCeng4GkY9495YEfPPZAZQUcDCxYBgx+d+sHVWdm5ryX5eq\nTJ5q6kNCCCG1BeWRJoQQQgghRAe1OmsHIYQQQgghNcGobzZcMnSoVg980PXhEJV5IIW+VEcbKvPw\nDEPoo6pS0QfqGDp6SAohhBCiX8Y9tcPVVfG3ugc+6PpwiMo8kEJfqqMNlXl4hiH0UVUR6pdPrKzw\ngjGsUUrjZiwPGqGHpBBCCCG6qRNTO9Q98EHXh0NU5oEU+lIdbajMwzMMoY+qilC/RKWmwj0tjVdm\nLA8aoYekEEIIIfpn1FM7yhJ64IOuD4eozAMp9KU62lCZh2cYQh9VFaF+4RiDicC6xvCgEXpICiGE\nEKJ/tSqQFnrgg64Ph6jMAyn0pTraUJmHZxhCH1UVoX5hHIcSgXWN4UEj9JAUQgghRP+Mf+jwH+oe\n+KDrwyEq80AKfamONlTm4RmG0EdVRahflri7I9XNjVdmLA8aoYekEEIIIfpn1DcbLhk2TKsHPuj6\ncIjKPJBCX6qjDZV5eIYh9FFVqegDdQwdPSSFEEIIqTh6IAshhBBCCCE60BRzGvUc6ahu3VAIwNPB\nQWNeXHW5jjXl1VVell4oAhr3hkej5nj2LBOMlaBevQYwM5PB19cCKSkFGvMoVzTXsvK+/7p7F/kZ\nGXA0MUG+mRm6TZ6MyFmzNPaLpuPavSUBmxYlIO9JDhhXiMaNTfB+XAyOHU7Cgc3HYVJsghLTEoSO\n64nZKxYJ1vvs6Stcz3ZAw46BMDUpBm4dgau5TPAcaJu7uGwfadOvuirbpvrt2yPzwoVamUdbuX1l\nr119tFXb15AueasNIe+1IbSBEEKI4TLqEekXpqb4HECgrS06WlgI5sVVl+u4VePHuLdumWBeXQCK\nnLs3ik2wLa8tfrfpC4cOXZDx1BrAXbRu3QgAkJyciHbthsLZ2UFRt3Ie5YrmWlbO93s6NxenXr7E\nFABijoM5x2GaWIyWc+eqDaY15Qu+9zAT6z78Ht1zWkL8z2lP4s6gwOovFOe3QH9ZF8U2B03OYtDU\n9opgWl7v4NQsbMtrCzHXHYdMTSHmOHQpPIYIq4toYlrCOwfa5i4u20dZWdlITv4O7dr1grOzd7l9\nVhFl23SuoAC7Cwqw1NIS5v/ckFdb8mgrty8rKxuXLj2D/Np1dvaudFs1nV8AlcpbbQh5rw2hDYQQ\nQmqeTnmkHzx4oNNPdbKVyTBLJsOpf1J4CeXFVZfrePe6A2rz6irn3D0qdYOY646ur17h6m83YWrq\nC1PTYNy9ewcpKXcgFr+Hu3ef8+pWzqNc0VzLyvs+mZeH2QBsART+cwJXS6U489lnavtEU77gXesO\noHtua0UQDQCBrCsevfLHW7LOvG3eKumMHzf/eyOhvF55fwCAbW4uur54ATHXHcekbrx9ldcWZWX7\nKCXl+T/9+m8f6Ss/ddk2nczPx2qpFIV5eRrbKMTQ82grty8l5Tnv2gUq31ZN57eyeasNIe+1IbSB\nEEKIYVM7tcPHx6fClXEch5ISoQRhVctEKTAsmxdXXa5jmZQTrqvs9uzftGFM6dBKSkRKv/PrUs6j\nXNFcy8r5fs3UfPqxKCoSLC+7vTKT/HwwqS2EjpqDteA2ouJ/Lw95vcr9oXwEhUrl8j7UNndx2T6S\nyUpbqdzHgH7yU5dtk6m8j8v0dW3Io63cPnmfAvx+rUxbdclNrW3eakPIe20IbSCEEGLY1AbSc+fO\nrXBlHCccnFa1EqX9ls2Lqy7XsUgsHKSWWFqCyf7dxoyTAv+syik9jcPERKaIvUxM+HUp51GuaK5l\n5Xy/RRynEuABQIGZmeC2ZbdXVmJpCU7MIHTUDK8Et5GZFqvUq9wfykdgzv0bdMjPgba5i8v2kUhU\nugMTE365PvJTl21TsfzaKXPt1oY82srtk/cpwO/XyrRV0/lVfg2VXVbZuquLIbSBEEKIYVMbSM+f\nP78am6GbXJEInwEI+ucf22KJBEFl8uKGhPhh27ZjKvNYR/43FHHrrvO+ulXePu7OHcx6/Bgh4jRs\nyzuF8zZ90aKDPzKepgC4i4YN5XOkN6FFi6G8uoODG5W7f+V1lPWYOFGx7x5WVlikNEcaAKb9P3vv\nHR9FnT/+P2dreiMkkF7oSO/SooANwXIqts+Jnh7qieedB5YTT707sX/vTvSsHHoKqCieYIVg6Cgk\nBKkJpJEC6b1sm/n9kexmd7O72U02BX7zfDx4mMy8y+v9es+Y987OPEejYdZDDznNiXV9+3HFOblH\nOsYvm6+bNR3vkf7NvA7t3lDcmg+tMIf6wED2tN0jPU9b0iGHrmKxxj5HSUmhbXltvw/VVc48wT6m\nub6+PCIIvGS1OHIUoyM8ndvexjq+pKRQMjNtj93uxtrZ/Loz911tuzfoDzHIyMjIyPRv+uxhw5aW\nFubOnYtOp0Ov13PdddexevVqqqqqWLJkCQUFBSQkJPDpp58SEhLSob4gCBZrR0xwsEsvrjPXsSuv\nrvW+c0YlDFlATPJoqqtbzQdhYYPQaEQSE33Iy2tx6VH21LVs3feJ/Hyaz50jRKmkRa1mlpvWDmfj\n2rh2Pe8/v57GsjoQdAwdouKBF54h9bs0tr6fisKoQlQZufY38xxaO3a9+y6V5fVk14YQPy0FlcoI\nZ7YxWGVyOAfuuovtc+ROXruKfUzhEydSkZFxUXq0reOzP3a9Eau751BXvNX9wXvdH2KQkZGRkelb\n+q1HuqmpCT8/P4xGI7NmzeKVV17hq6++Ijw8nJUrV/Liiy9SXV3NCy+80KGu7JGWkZGRkZGRkZHp\nabrkkVYoFG4vVs3lPH3Y0M/PDwC9Xo/JZCI0NJSvvvqKnTt3AnDXXXeRkpLicCEN8KtfvYMgiIwc\nGcKdd87ocHXNmQO2K+5bV3XccQn3lG/X07ob165nw+tbkHQCglbituWLuPWe293q69tv97Fu3RH0\nejV1lYXEmQ5ySZiS0poat3ze7sQz9fIkVAVZHnunu+JENueurKiIqqIiomNjCYyOdhl/b3mje9Jf\n7G7bvXlcyr5mGRkZGZkLEacL6V//+tceN+bpw4aiKDJx4kRycnJ44IEHGD16NKWlpURGRgIQGRlJ\nqZ1+yprKyt8C8OOPqZSW7uPRR7Esahw6YHNyOLFkCWWffNJhO87ct53UCY0b1sElvG5dKkuXdh6L\nqz5xw1Xrql1HdTeuXc9bT2wlpWmyZdtbT2wF6HQx/e23+3juuRNotQ9QV1VFTW4uTfpSbtBs4be6\nMt4AZpp93m7Gbx9PkdHIl0d3sNY/kzH+SqfjceRvts95Z5hzl1JQQFp9Pa+KIvWlpWizs3nNSfze\n6NeT2LpyTHir7e7E4GndnhyvjIyMjIxMT9IvXshSW1vLlVdeyerVq7nxxhuprm73MoeFhVFVVdWh\njiAIzJ3bHrq//w4WLoQHH7wcgBdvuonH9u3rUO8ehYK1DowCL82ahSSKHtfxn3s/5eWXd9gXEbGj\n01hc9fnSrFms/PTTDtutcdWuo7rXTbiNCWcmd9h+ZOghNmdscNnXkiX/prT0AQDOHj9OXG0tAGGm\np/iC1m8QXtJoWBka6nb89vHsaW5mlslEkGoTfxxY6XQ8b7yxo9Ocd4Y5dy9WV/OYXm/Z3qDREBAa\n6jB+b/TrSWz2uJNTb7XdnRg8rduT45WRkZGRkeku/f4V4cHBwSxcuJD09HQiIyM5f/48gwYN4ty5\nc0RERDitl5//jOXniIgQ9Prxlt+dOWB9DAZQKjtsd+WGdVXHHZdwT/l2PW1XcuLONrV0/k2CXt+u\n3BOsPlToJX/McmpXPm934jFnzNpV7agtb/ibzblT2Z8Ybb87ir+3vNE96S92t+3uxOBpXdnXLCMj\nIyPTn0hLSyMtLc2tsh4vpM+cOcP//vc/8vLyAEhKSuK6664jOTnZo3YqKipQqVSEhITQ3NzMtm3b\n+Mtf/sLixYv54IMPeOyxx/jggw+4/vrrnbaRkPCM5Wd//x02TlxnDtgWtRocXF125b51VcfHDZdw\nT/l2PfXcCk7c2Uqfzr+U0GjaXwIjKdoXjhqh3UHtyuftTjzmTKgF24WVu25wT5zI5twZ7W9Havvd\nUfy95Y3uSX+xu213JwZP68q+ZhkZGRmZ/kRKSgopKSmW35999lmnZT26lPbUU08xYsQIVqxYwZtv\nvsmbb77Jn/70J4YPH86qVas8CvLcuXNcfvnljB8/nmnTprFo0SLmzZvH448/zrZt2xg2bBg7duzg\n8U5UbwBGYyrR0aXMm9e+mJ+7bBkvtN1rbWZ1ZCSzHnrI4fY5993XpTrz5yej06Xa7Gv183Yei6s+\n57jhqvW07m3LF5Hml26zLc0vnSUPLeq0r6VLx6HTvQdAyODBnNVo0PEhS32zqFcoWK1QMMfK5+1O\n/PbxJKjVfK3cxwK/MpfjcSfnnWHO3VxfX15o+2BQr1Cg8fNzGr83+vUkNmvczam32u7N47Inxysj\nIyMjI9OTuH2P9Nq1a7n33nu59NJLWblyJaNGjQLgxIkTvPzyy+zdu5f333+fu+++u0cDNiMIAr/6\n1duAyKhRIdxxh2NrhyMHbFfct67quOMS7infrqd1N65dzydrtmBqEVD6SCx5yFNrRyZ6vYa66kLi\nTIe4JERBWW2tWz5vd+KZfFkS6sLTHnunu+JENueu9OxZqouKiIqNJSg21mX8veWN7kl/sbtt9+Zx\nKfuaZWRkZGT6K17xSE+aNAm1Ws3u3btR272i2mAwMGfOHPR6Penp6U5a8C6yR1pGRkZGRkZGRqan\n8crDhidPnmT16tUdFtEAarWaJUuW8MQTT3Q9yi7w2GVXk35WiUFUE+avIjlaz01/esjplSyzq7aq\nspFTNSEkTk9h6CVD0dWcYOemvW65lc0e4dPHTpN3II0RITXojA1ogMg2j/LAyZMpP3TIYydud33U\nXW3TUZlN77zDlvd3oNMJVBPMqGmXsPDmq516k7vrAXY2N+b+esvf7IisrAI+/vhnjh+vdukt7y7d\ncXx3F297nLs7X7JXWkZGRkbmQsDthbRGo6G+vt7p/oaGBjQajVeCcpsDSqbopnIQGKDVos7fx2dn\nV8K/Ovpnza7aG4orWNc0kQnCZPack/glU+LML9ksloYRrgwCnLuVzR7h8qIE8rdlM6txMnmGHYQb\nMlil0KMNaq2/8ptvuNXHh+k+PoB7Tlx3HMWe+nbdadNRmd/euZLKjGOkiDPJJIBgUsjcVUiLTqKo\n6EwHb3J3PcDO5qahIZ6iojPMmVPMrl3NPe5vdkRWVgGvvZbO8eOTUKmSAMfe8u7SHcd3d/G2x7m7\nvm3ZKy0jIyMjc6Hg9sOGU6ZM4Z133uH8+fMd9pWWlvLOO+8wbdo0rwbXGQrDdLSSxCxJosBgQCvM\nIblEw6533+1Qdufbb/N4aSnbdVFohTkAzGpsJPtwHkmGW8kztVspUpom8cmaLR3a2L49B612Hvnp\n6cxqbLVVFBtnkCzGESiK6Jua0DU18Q+djl1W6q7HS0sdxuSobWu02nmkpuZ0GIM1rtp2p01HZc4c\nVRMvXkMuEipSABgmxZJ9OK9D/a7EZY+zuSnIyECrnce6dZmdjqOn2L49h8LCCZZFNIBKNY/i4kiv\n9r/h9S2kNE2y2ebsOPQ23Z0/e9w57nozHhkZGRkZmZ7C7SvSq1at4vLLL2fUqFHcc889jB49GoBj\nx47xn//8h/r6ej766KMeC9QRgoOf9ZLWoX/W7Kq1dxQLYutnCZNkmwpHbmWzR1hhNFq2KQA9rVee\nkSRLHEq7e2k6c+L2hI/anTYdlVGISkyoANvbeMy5svcmd9cD7HRuDIa2/hx/0+Ftf7MjDAYFotjx\nWDCZFFi9x6XbdMfx3V287XHurm9b9krLyMjIyFwouL2QnjNnDps3b+ahhx7itddes9kXFxfHhx9+\nyJw5c7weoCskBz9rBB0NDvyzZletWtDZVJQUIoigFIw25R25lc0eYVHVnjYR0NDS+osgWJo22fmJ\nO3PiuuMo9tS3606bjsqIChNKjEgYbLZLCrFD/a7EZY/TuWm7H1+jcbxi9ba/2RFqtYhC0fFYUCpF\nvHknU3cc393F2x7n7vq2Za+0jIyMjMyFgkeX9BYtWkRubi4HDhxgw4YNbNiwgZ9//pnc3Fyuvfba\nnorRKaL6ADpBYLcgEK9Wo5N2cSZK79A/a3bVzteWoJN2AbDb359hExLJVW8kUdl+9dWZW9nsEU6Y\nNIk9/v4ARKv2k6M4a3EQa/38eESjsTiVwT0nbnd91F1t01GZIWMMFCi+IQkBI2kAZAuFDJuQ6NCb\n3F0PsLO5iZ84EZ0ulaVLx/eKv9kR8+cnExt7GKMx17LNkbe8u3TH8d1dvO1x7q5vW/ZKy8jIyMhc\nKLitv+tvCILAypSryChUohc1DPBTkBRr5KY//s6ltWPXu+9SWV5Pdm0I8dNSGDZmKC3VJ9j9+V63\n3Mpmj3D20dMU/JTGsOAa9KZGNEBEm0c5fOJEKjIyPHbidtdH3dU2HZXZ9M47bH0/lRadghqCGDlt\nDNfecrVTb3J3PcDO5sbcX2/5mx2RlVXA+vWt1g5X3vLu0h3Hd3fxtse5u/Mle6VlZGRkZPoLXvFI\nb9++ndTUVJ5//nkE+9cqA48//jhXXnkll112WfeidRPZIy0jIyMjIyMjI9PTeGUhfcUVVxAUFMSm\nTZsc7l+yZAm1tbV89913XY/UAzpbSLvy0Lra58h/W30222Vbm15Zw7EsPVXVTQSE+hEfLTBgwkJi\nhoxGrRYZ4HueQ598Qk6xBoPSjxGzp3Lf8mvdvkLnLaeup+PuDYf1xrXreeflTZRX+yEp1SQOD2a4\nOg+fujKKCwsJi4khIibG0pcjj3fYAH+veoZdxW3OQVlREVVFRWgCA9HX1xMdG0tgdLTX4nDmlHbX\nNW0fZ3RsLHqVCj0Q2+Y7706snXm/oT2PRUUV5OZWkpQUSUxMSK86wL2N/bExwPc8Bd984RXftezO\nlpGRkemfeOWFLEeOHGHFihVO90+bNo2XXnrJ8+h6AFceWsDpvtC4YR38t8//5V3Cj7zJq7WO2/rs\n4ZWo8qOZoJuBVpL4vq6BQ4W1BGQpGX11LABHvnmDic0C45TTAdhTquT5ih948tkrOl1QeMup66od\nR+PuDYf1xrXreXXF52jrJzGAy6gTRdLP5RGhPMOD4i9MooUXSkuZm51NWk4O+ctXcOR0pI3HWyft\n4nq/n9jsJc+wq7irz2aTtnIlKQUFpNXXc7PRSCrwpCDQUFqKNjub17wQhzOn9IFdP5H5bXmnrmnz\nXJnjfFUUqTt/Hgn4tyAwMzCQ6T4+XXYzd+b9Xrq0tdy6dWeorx9CZqaESnULxcW5jB8fRlFReq84\nwL2N/bFRlJPDmR/e423pJ4arTEDXfdeyO1tGRkbmwsTthw1ra2sJCAhwut/X15fq6mqvBNVdHHlo\nHys7z94P3uDA+tf4nW8R1aN1lE1tpuTyJm6fmkPu0eUcP/47Jkx4i3Hj5jNp0iSmTh3G3LmvM2VK\nJY1RRqQ2pYTZabvz7bdJKtFYfNYAoYg0SncSVq+kICOD/PR0BjYMp8i00BLLrMZGSo6GuOXV9ZZT\n11U7feWw3vD6FgY2DEdF6+1ANaLIMCmWQuNV/CTGtfYhiuxqbubx0lI2vr61g8dbK8whVRflNc+w\nq7jNOdjZ3MzjoshO4M+AJEkWj7g34nDmlP7yk2y3XNP2cQIEmEwoTSZLPqHrbubOvN+pqTmWPObm\n5qBSteZTpUoiL6+61xzg3sb+2MhPTyelaRKpuijLtu7m1BrZnS0jIyPT/3H7inRUVBSHDh1yuj8j\nI4NBgwZ5JajuUFb2GUPn7+fInEqM/hIGfxGjv4jRX2KS4n8ApDuoF0UWkNVhe9JIYCQcBHzKlIRl\nahlwWIvK0IBkVGKQtDY+axE1AmBChWAwIACipALBNtWCweCWV9dbTl1X7fSVw1rSCa25acOcRxOq\ndjc37U5usS0Ea483tLrDXcXiCa7iNudA1RZPh5OnbXt343DmlBZMPg7PWHvXtH2c9lg7zrsSa+fe\n7/YciqJtPk0moUOZCwX7Y8N8HOrt8tCdnNoju7NlZGRk+jduL6SvvfZa/v3vf7NkyRIW2H3VmJqa\nygcffMBvfvMbrwfoKY2NxwkbUUJPXBtviTBRckUTJVc0Md74PbVFETT7a6ndXY1U0vp6cAUGJECJ\nEZM6AEmSUAlGBGwXf5Ja7ZZX11tOXVft+PSRw1rQSigEo8UdbV7eKTG2u7lpd3Ir2kKw9nhDqzvc\nVSye4Cru+rYcGNviMdoXatve3TicOaUlZYvD7fauaaNdnPZYO867Emvn3m/R/JkChcI2n0qlZClz\noWF/bJiPQ/PxZ6Y7ObVHdmfLyMjI9G/cviz05JNPEhERwVVXXcXChQt56qmneOqpp1i4cCELFiwg\nPDycVatW9WSsbqFWh/ZKPwqVSGjCeaLuL2Dux68x+T9vkLTsB0LGFxGk/oCqQBPxEyeSMGkS5QFZ\nxCi/ttTd7e9P1Jgat7y63nLqumqnrxzWty1fRHlAFkZ+BCBEoSBbKCRW9R3TFGdb+1AomOPry+rI\nSG5dfm0Hj7dO2sU8bYnXPMOu4jbnYK6vLy8oFMwF/k7rQwhmj7g34nDmlL5+yTC3XNP2cQI0KJWY\nlEpLPqHrbubOvN/z5iVb8piUlIzR2JpPozGXxMTQXnOAexv7YyNh0iTS/NKZpy2xbOtuTq2R3dky\nMjIy/R+PPNL5+fk8+OCDNmYOQRC4+uqrWbNmDQkJCT0Ro0OcPUF5/vx/OXXq1w7rKBT+qNVh6FvU\n1JbUY2pSYDT6MmjYZOKGjEelCqW83MiRI03odMEolUomTCihoWYrRukwCqV7V9H0LSoqKy7BIC6g\npWUKQSoDhz77lNxCFQZVAMNnT+G+hzyzdnjDqeuqnb5yWG9cu573XtlEaZUftFk7hmnz8akppaSw\nkNCYGCLj4ix9OfJ4DxgY6FXPsKu4zTkoPXuW6qIi1IGBGOrriYqNJSg21mtxOHNKu+uato8zKjYW\ng1qNHohp8513J9bOvN/QnsfCwgpycytIShpEbGxIrzrAvY39sRHmc56z333pFd+17M6WkZGR6Z94\nRX9nTVVVFWfOnAFgyJAhhIWFdS/CLuBsUM3NedTV7UOlCkWlCkWtDmv7OQSFouvvdDaZGqmu3kFV\n1TdUVn6NTlfodt1CXTATRn/MJTELOy8sIyMjIyMjIyPTb/D6Qro/YD8os9/1p90HydxzFD+FniZR\nw/hZY5g2ewrz57d+lezMEX3ydCGnChQEBkfgF+bH3Jtmog0ZhcGgoOjMcTj9A4M1IoU1NWiQiE9W\nEji0irgZIAknEATXV6vPN6uRzr3Nuy9vsTiTp142gsdW3erwTYPWcSYl+ZCb2+LSx+wu7ridrXHX\nW9yTMXiKOeamqibqa8sYES8ycmisUy+vJ2PsSzeyt/PWk/Ng9qvnFGuoajRi0tUSbThNgMpI4JAh\n3Pr0051+m/HRR/s5ebIGSVIwenQod9wx1WV8veFh9sRPP3DyZMoPHbogvdA9fY7KyMjIXEhc9Atp\ns9/19HENh1IPEKGfRYlYSZTCnzLNISbPm07YoCIEQcvgwTda2sg71eqInlJSzFv140iRZqETBGrU\nvnytKmTqvJsJCY4if9s2pjR8yzjlfrINVUyMljg4RMu+GBNpkQa0PhKTQ2H6AJgaBmFOLnx/8VUs\nGWuWWXRv+epzjEsp5qXXrrP5OtzaVVtRUUN6+iYmTVpAeHhrGZ0ulaVLh3j8h82RI9lVW+0+43bl\nWppfOvevvrbLi2lPY/AUc8yz68Zh1OnQShJpwh7uDzxCflI0KXZeXk/GaI691Y18BpVqHkZjqxs5\nMDDda2NwhLfz1pPzcGDbNj57eCWawjjKTZeSrdNxqSQisIel7GWzysi5uDhue+stpw7yV1/dVSfi\nfQAAIABJREFUx4kTERZ1ntGYy+jRmfzxj5OcvqK+g4c5MrLDfHd3XM76AFs//YGWFja2tPCSry+a\ntgcJvR1PT9HT56iMjIzMhYarhbTLhw0DAwMJCgpy65+5bF9g9rse/fkACYaZVIsaVIyjWhRJMMzk\n2MEDFBVFUlQ0waZe8S/BJJdo2NA0iBRpFgBaSSLHEECS4VaOHTxA9rEfCR/8E2mX1fDAkgb++icT\ni+4UeW56M9tj9BjVEo0m2FkBL2bBTfthWTr8Jx/yGm3jvPaaIiKihlh+TzAMJisjysapa++qzc2t\nRqu9l7y89jJd9fC643a2xpnP2N5b3JMxeIo5ZqPBYHF7p0iz+KQp0qGX15Mx9qUb2dt568l5MPvV\ntcIc8g0GZkoiPoCGWaSSwOOiSHRJiUsHeVFRpCXH0JrnoqIJTuPrDQ+zqz7s9+1sbuYfOh36pqYe\ni6en6OlzVEZGRuZiwqX+btKkSa52WygvL+fkyZNeCagrWPyuptb/Stj916ho89na6sAURiN6SYsk\nmWy2GwUonvwZZ6esJyuszKNYJCCnSkvRkcHk6sP5wz2HLFeoNSqJq//wPB+veNMSi2QUbJy69q5a\nUWxTqplst3fFw+uO29lmLE58xvbe4p6MwVPMMdtHaHLimvZkjObY+8KN7O289eQ8qHQ6i2Pa/qwz\n+8GVkgQuHOSigzulTCbBaXy94WH2pA+Lw9vuCsaF4IXu6XNURkZG5mLC5UI6LS3NZeWGhgZeeeUV\nXnvtNQAWL17stcA8weJ3bbNqCNj9VyWiUIgIgu0fNVGlQiPoEAS9ZVt+Qh4Hr36HhsgS3EXT4E9y\nSRJxRYnEFSeRm5dMkVTA5f6RfDzhNMun1VrKDh33C2Mu28bRH69oi02ycerau2oViraXfNgZQzz1\n8DY2niIk5CC1tZciSbb3njhry5nP2N5b7Anu+KW7gzlm+wiVTlzTnozRHHtfuJG9nbeenAejVotP\nm2NaxHYuzH5wkyCACwe5wsGaTamUnMbXGx5mV31Idit/i8PbzuV9IXihe/oclZGRkbmY6NIlBqPR\nyJo1axgyZAjPPfccY8eOZffu3Xz55Zfejs8tzH7XMVOnk6/eS6hCj5EjhCoU5Kn3csmU6cTElBIT\nc9imXvTYWnKi9Nzmd57vg7bz+a828cHSDzpdRCdVwV3HNbyfFsytn8ZxybtXcMtXdzE9Yw5RpTFU\n+u9E5Z+FgID+q/mk270d5sr7/4VPQB356nMMn1hi49S1d9UmJYWi071HYmJ7GU89vOfOreXQoTEk\nJKxk7NgJKBTtXze7asuZz9jeW+wJ7vilu4M5ZpVaja5tEZMm7GGJX6lDL68nY+xLN7K389aT8zB3\n2TJyo/TopF0kqNXsFRS0AHr2MI98VisUFEdFuXSQx8SUWnIMrXmOiTnsNL7e8DC76sN+31xfXx7R\natH4+fVYPD1FT5+jMjIyMhcTHj9s+Mknn/DUU0+Rk5PDiBEjWL16Ndddd11PxecUR9aO1NQcDuw6\nyJG9R/EV9DRLGsbNHMP0OVMsfwTs/cBl+cdZ/eXjbAs/jlHV8YqLgIIIQzTRFWpGN4XgU6ImVK8h\nwsrFm19Y3sHtC/DJmi3oDCZO3rqZt2cY0Vh9bNm9fTh5+Xc7tXZYx5mY6ENeXotLH7MzamsPkJk5\nB0kyWLZVVv6KwsKH3GrLXW+xJ7jjl+4O5pgbKptoqC1leLzEqOHxTr28noyxL93I3s5bT87DgW3b\n2PTaG+QWqqhsEhFbaog2nsZfZSJoyBCWrFrVqbXj44/3c+JEDdBq7bj99s6tHT3tYXbVh/2+8IkT\nqcjIuCC90D19jsrIyMhcSHjF2rFjxw4ee+wx0tPTiYqK4plnnuGee+5B4eg72F7A1aDc5YecH3j4\n24fJqsxyuP+ucXfxwvwXGBQwqFv9rPhhBeUlr7A0wXqrwIQJ+wgOnt6ttl2h15eTnj4Rna7Ibo/A\n+PE7CQmZ3WN9y8jIyMjIyMhcDLhac7q8RxrgyJEjPPbYY/zwww8EBwfz97//nUceeQTffnCv369v\nfZXMPYcJ1zYTGKThtuWLSIgdaPHX1hi0KCKTmTpzNDEx4SQl+ZD69WEyDu3g2OgDlMc5voVjwqAJ\nrLlmDZfGXuqyf2vXamXleQRBSVjYQBvvalZWAQGnxvOvGpgXAbGWb3olsrPvx1jzArvefo/64mKK\nCwsJi4khIibGqXPWXY/xqVO5nDlzMwEB9ovo1r737rmRXW9NJUJQuHTcOvPmetN1bd3HOb0Chl5B\nzJDRXfbXuuvA7axcVlYB776+lVO7f0ZtaiI5Ws9Nf3rI61cVe8LZ21ceYGt/tEHpR8SYUUQnxjNg\nwKBuzYU7XEx57Gt6w8ndH/qUkZGR6S4ur0jfeeedbNiwAY1Gw4MPPsif//znPnmLoSMEQSDebxMJ\nhsEY+ZHxKj2HtccJ1/7CqIaR1EtzyTQMpkQzlMCEfC4ZN4zMzK+pi9vB+Uk7MaoNHdoM1gSzev5q\nfjvptygVSpf9W7tWKyoKyMw8AyQyfnwY4eEh6HSpzJnjy65dzWi189jI9fiH/o9Xx9m2k/9lFLf/\ntwVdXR2BosgLCgUpgYGkxcd3cM666zHOyipgz54/k5z8scsxFHyVyPSPDAxXmRw6bp15cxOWr+DI\n6UivuK6t+8gyKlnXNJGDAVeTsGABMcnJHvtr3XXgdlYuK6uA5//yA8VpJmY1tnoMddIu9LFnuflf\n3nMB94Szt688wNb+aK0whwpRYCvxBCdKzE6ZQnh4fJfmwh0upjz2Nb3h5O4PfcrIyMi4S5c90uvX\nr0eSJIYNG8bp06dZunQpixcvdvmvN0kwDAZAxWXkmQzMqR9PXnkMWmEOucZAVMQTp9dTXzqS3aUf\nk33lmxRN395xES0JTJR+y5OB/+GBKQ90uogGW9eq2StsdgpDq3d13bpMS5mpLCejBrbZamhJuuoc\n9f6NBLY99f+4KLKrudmhc9Zdj/GBAx93WEQXHo0lc+tcm23xi/PYPzSgtV8H/Tnz5m58fWuXXNei\nqCM7+wH27AkjPX06JSXvsfv9Nyx9bNdFoRXmMKuxkYKMDKftuMJdB25n5bZvz6H4l2DLIhpAK8wh\nuUTjVRdwTzh7+8oDbO2PBsg1BpJgGEx96UjLsdGVuXCHiymPfU1vOLn7Q58yMjIy3qDTWzsAjh49\nytGjR3s6lm5hklQIgEnyB0BsG1pzSBGl1zxBU+Iuh/WCi6MY/sv9XH3VKjTGNLf7s3atWnuFzU5h\nAL2+XTOXyOUMlEbx75wTTA+DQHVbXR+JwmUGBjzd3ray7VOPvXPWHY9xc3Me0dEv2OzXVwfy5d9/\nhb5pOMMnHcN3cKVl3+Dl+RifCEalU3Toz5k3V7Tb7I7rWpIksrLupbT0IwDq63+ivv4nJixVcTpB\nQ9R2PwzZ7XoxwWBw2E5nuOvA7aycwaBAYTR23C9pveoC7glnb195gK390dB+DgqiaHNseDoX7nAx\n5bGv6Q0nd3/oU0ZGRsYbuPyLIIqix//6CqVgRAKUQusVREnVSN7cdzi47E6Hi2h1YwjDtj7BpR/8\nmqD6EYBnnlRr16q1V9jsFG5tr91PLSAwleVUG+DdPNu2amaKVMxor2dq07bZO2c78xhrtS0cP34T\nKlW9ZZ9kUnD8xTtprvZF1Ck59Y8lloUvgHZQC7m31Tvsz5k3V2G32R3XdUHB3yyLaGtUPkaKr2ri\n4CsVDP17JgNnZSKojEhqtcN2OsNdB25n5dRqEVHV8XOmRtB51QXcE87evvIAG7Va1EL7gkhB6wcR\nSaGwOTY8nQt3uJjy2Nf0hpO7P/QpIyMj4w0u6Esr+epzABj5kUSlml2BmSQMLOTI0I3sW/Y0Z2d9\ngKSyu41DFBiTPpOJb73EwCP+VAUGEz9xoseeVGvXqtkrbHYKg/leyvE2Ptax/B9ayZ+t5+B4nW17\n2cslTD4SqxUK5vj6OnTOduYxnjjxQxoaMmzqpG64ntrjycQoMolRfs3WgjFkHrzJpkzJFU28MdOv\nQ3/OvLm3Lr/WI9d1aelG8vOfpjP8x9Qz+rGPmLj2eRbfuxOttrBb8+IoFnfLzZ+fTPTYWvb4+7fv\nl3ZxJkrvVRdwTzh7+8oDbO2PBkhS1ZOvPkdg5EnLsdGVuXCHiymPfU1vOLn7Q58yMjIy3sBjj3R/\nQRAE/m/JKxzZe5gBmmaCgzVc/+AVvNmwhp9rMxzWGR0wlomF11Cddo6WpjokFVwy90qGjRnaJU+q\ntWu1qqrV2hEaOtDGu2rvYz0UtpH/ZL1Lsj+8PQmUVi8+O7Y1gLw9o4mMi3PqnHXmMZ4xI53a2pU2\nZevqZrPj29sp+Gknw4JrMPloYcgCYockMyT51/gHlLcXliKZNfs0KlWgTRvOvLnuuq5ra/eTmXkZ\nktR+pVKlCmPQoLspLf0Qg6EcZ0iSAh+feQwf/iihoQsQBPc+97nrwO2sXFZWAe+u2UrW7oOojQ0k\nxRq56Y+/6xFrh7edvX3lAbb2RxtUAQy8ZCQxSfGEhQ3q1ly4w8WUx76mN5zc/aFPGRkZGXfwike6\nv+FsUIs3LGZL9habbYMCBvHygpe5Y8wdCHav7O1tcqtzGfKvIUhI3J8ES2Kt9yqZPDmDgICxHrVZ\nX5/J4cMzEMUWyzZf3yFMmnQIlSrYYZ3a2r0cPjwb6xc4Dx68jOHD3/Kob1c0N+eTkTHVZrEsCGo0\n0a8zKuZWAjU+lJd/QUnJm9TW7nHZlo9PMlFR9zN48N2o1QO8FqOMjIyMjIyMjCsu2oX0opG3IWgl\nblve+ia6rKwCNn6/m+cq70ZUGMEkEHgwkZhj8UyfeyVjJ0+jqqqciopKSksVCILIyJEh3HnnDIdv\nF3TXH2vvPz0XEM2O7ZWYDBqUaj1LH5jOH//8kKXdxet/RbYiHR8FrJsCkT7tbelbhhKX8D2pqXku\n+z6wbRtfPPcczSXZXPF8JYGRJss+hcIXle7/sfvtbTZOVoCNzz1H/ZkzqIGpDylImmnr0t6b9jAh\nA6/z2Jdr7VxuaapFEyBw/zM/ExRs2/57BRF8nF+GGg0pvjfy/NVPYjx/np83vcSgkacZMKoYpabj\nQ35mBEFLRMQtREU9SFDQNLKzz/aJ57c/+IXd8e56y6ndnfjKioqoKioiOjaWwOho2Q8sIyMjI3NB\ncdEupP8S8AoAaX7pLH74UsobRnL6RATfNT6DMTqP0G9vZEB5OIW0oNVEMWFmAhW1gZSWHmfw4Cn4\n+8djNKYyalQZjz56qWXh4Ik/1t5/+lodvNx4DUOVSy1vfcxVb+SRJ4ex8KZFvPrqPvadL+T4pMcA\nmDkA/naJ7di2f78ElXaj074PbNvG1w88wIqz+RQ8Y6LS7r0xauNKdq/4wUYn9XtfX3RNTSRUVPB4\n20Oh1VrY87ZIoNVV8dqKUL77ZgchkZVu+3Ktncsj6s7xi6jkzr9+zrApv9iU++Z8GC9nVdls0xr9\nmfFLCN+nm9CIAkYfkQ+vVpN8kwZJyHXZr1KZyNmzw2houJG6uuk0No5Gp0vrcc9vf/ALu+Pd9ZZT\nuzvxpRQUkFZfz+OiSL1CgTYoiNfi4mQ/sIyMjIzMBUOXPdIXCilNk1j31gG02nkc/SmLiB/vJfLD\nz9GW30kppYRyPaI+kcxDRdTVDUKluomamlYXrEo1j+LiSBs3rCf+WHv/6brmkQznTiQrg0mS4VY+\neOtA2xsJIxlQtwK/xpEA7K2EPRW2bc6YuRW1usxp3zvffpuVxcVU3yx2WESXHktiz1s5HZysg0uK\nGVRRallEA6iaRWavBrH9YjbB4dUMS37UI1+utXM512Tg2geOdFhEZ1SE8ordIhpAp2okbWIxI28p\n59OkZpQtAvdsNvHTvycyYcJeIiLuQBA0HeoBmEx5REd/z/Dhy5gyZRyzZoUwderfOXr0CSoqvkKv\nL3NYr7v0B7+wO95dbzm1uxPfzuZmyzEXKIrom5pkP7CMjIyMzEWDy4X0tm3bMJlMror0G0xmZ7NJ\nAFGDQOu90BKatv8qEE1KJKltu2TtflbYuGE98cfa+09Nkl+HMgBGvQaDQYEoKhAQiC5abtn3+hlo\ntrqbwT+gkeTkR532rdLpqB9rIu8e209HjdkCxduHd4jpULiel+7X8dyTEg9fKWIUWusJQNBJSN9k\n+7T8hJk7CAv7zm1frrVzecLiDKZe94XN/rN1ETx5shpXX33kBptYsqCG6ddXsnuQHmVzC8HBlzJq\n1EfMmFFEUtKL+PgkuoxDpWogNPRHwsM3cOzYdezbF8mBA8mcOHEHRUWvU1d3EFHUu2zDHfqDX9gd\n7663nNpdwRyfyv4TvBNHuoyMjIyMzIWIy7+UV155JQMHDuTOO+/k888/p6mpqbfi8hil2dmslBBo\nX/wL6Nv+K6JQmhDMi0jB2v0s2rhhPfHH2vtPlYLjHKk0etRq0eKAjiz9P4SW1kV3mQ7+U2BbftCg\njwgJ2eGwbyFMJPcJA1i9gFFVB6f/rsGoCbCJKS/QyDXXVFMdApICXp8Gd94gYRQky8L2wAfhNBZG\n2PQ/fPi9+PjYOfqcYHYuh006ybz7f7DZV1XnzyPHytBZpS5amkaK9BwaKaBDWz9HGphzXSVrh2Vw\nquJU29gHEhe3kmnTzjBmzDcMGLAIm8G7oKUll7Ky9Zw58zAZGVPZvTuIjIyZnDnzKGVlm2huzkOS\nPPMC9we/sDveXW85tbuCOT6j/cO9ThzpMjIyMjIyFyIuF9I///wzDzzwABkZGdx8880MGDCAxYsX\ns3btWioqKlxV7VXS/NJZev90dLpUxkwbTqOmEiP5iOwgkkiq+RKFJo/xk2MICjqP0biJkJBWF6zR\nmEp0dKmNG9YTf6y9/3Sp70my+AhB0Z7aXPVG7rp/OvPnJxMTU4rRmIrSFEBo3o2WMl8UQ0GN2qbt\nYcMeQBB0Nn2LooFJd+VjDLEqKMLR1QryVNHMue8+S0y1GpFrr6qm3Nd2QfTJJXDbryR0agW/12i4\nWV3G0f83HMnqrYxabTETJnR8gYoj5s9P5pKU4wxf+TEKqxfStLSoWZHVSLWVyjtIiuRW/sdcVvEw\nOQyvSkFwsF47EVTCJW9ewv1b7+d8w3kABEHBgAFXM2bMV8yaVU1Y2Hqys++homIxev1At2KVJB11\ndfsoKnqNEydu5qefkti925+DB8dy/Pgt5OWt4vz5j6irO4TRWO+wjf7gF3bHu+stp3Z34pvr68sL\nbedCvUKBxs9P9gPLyMjIyFw0uP2wYVZWFps3b2bz5s0cOnQIQRCYOXMmN9xwAzfccAPx8b1rLDBb\nO5Q+Ekseard2pKbmcGDXYXZ/vwd9YzNqhYagkBYmz5/H2MnTqK5ut3aAyKhRIdxxh2Nrh7v+WHv/\naYnfYH5MrcSo16DS6Lnrfltrx8cf7+fEiRoaNJV8P+wp2u5CYVQQrBlvuWgHQFnZXYwb96yl7zNn\n/kBR0T9s+j/yeQD5RyawZNUqywNce374jt/8cDfZgeed5nBY2QAejXmEmsO/UFleT/isAqbMO2lT\nZsyYrQwYsNDlXOh05/n558mYTMWWbaIITx9Tsbe6/Z6VQE0gH1++icJ0lU1eM7NS+evOpzkeVOyo\nefzV/qy4dAWPXvooARrbq9jt8yTg71/MlClV+Pufoa7uAA0Nh5Ek5wYQd9BoBuPnNxw/vxH4+g5v\n+3k4BQWwY0d+n/qF3fHuesup3Z34Ss+epbqoiKjYWIJiY2U/sIyMjIzMBYXXrR0lJSV8+eWXbN68\nmZ07d2I0Ghk3bhw33HAD119/PWPHeuZB7gquBnUhsWjDIrZmb7X8vmZqMqN92x/yEgQtU6Ycxc9v\nKGVln3LixBKb+qGhVzJ27NcIgu2tDg9/+zCv//y6zTaVQoVRtF1YXjf8Oj69+VM0Sg2iqOPQoUk0\nNR237NdoBjNlynHU6lCH8ZtMzWRmplBf/7PN9g8Lg/lPbq3ld6Wg5Ovbv+bKIVc6zcXes3tZsW0F\n+4v2O9wf6R/JsynP8puJv0Gl6Pj6bkexNTRkUFd3wPJPpyvqtJ47CIIWP7+h+PoOJyBgDOHhN+Dv\nP6bPPeUyMjIyMjIy3qVH9XfV1dVs3bqVzZs38/3339Pc3Mzq1at57LHHutNspwiCwIb3P2bD61uQ\ndIKNT/rAtm1sfO45Ck/lU6qLQjMgiokL53Pf8mttFHKdOXi9gTkWs7s5aMgQbnz6aUtf23K2ccVH\nV1jKByoFPp0agI+m/baC0ND5DBnyLzIypmIyNVi219UE8Kd7p1JZPQCNUs/QUYFMjawjNzqXzfHH\nbOKYGj2V/97wX675+Bpyqm1tDKNqIrm9aAbzfvsgo6aFkpExHazuMy8/FcfZr8dSWFODBogMCcGo\n1TJn2X0ERb1PeflnNu19n6/hhQLbh/revOZNHpjygCUnzvzC0+bP54uTX/B46uOcqTrjMKcjwkfw\n4vwXWTRskccL1/3b1nN0++sEDSxDHVlDYIQOjbbRozacIUjxnD0QQM3xCJpawjw+pjauXc+G17fQ\nVNVEfW0ZI+JFRg6N7dKxac5xfXExxYWFhMXEEBETw9xlywiNG8a7r28l4+vt6CtLiNSWEDsigVvb\njkv7c2Pg5MmUHzrk9rliXb+0pobzTSbqddEYlH6MmD3V5jz0dDyenq+9dZ5fDPS1G72v+5eRkZFx\nRq95pJubm/nhhx/w8/NjQQ//sRIEgbkRt5HSNMmyLc0vnQV3JlL25UZU+efRiDPQMhudILA3JITE\nK3x58tkrqD6b3amD1xsc2LaNDfffz+CzZy0KsHqFgpfi41n4738zfcECTp3KZ8ZHM6lRt7+45Bbm\n88Dc7TZtqVQDMBorLb8bjUpWPXQrxVmXo+ByRGpp5hcGDX2dk7cdxGR193tsUCw/3/czgwIGUVRX\nxOUfXM7pqtM27S8s0DLtyHAWvPAKEck7OXv27zb71av92b1Dx+8AbVAQGq2Wj5aKxFxhq2DLLArk\n0Zx6rG97vmXwDXzy2y8sOXHHL2wwGXg7/W2e3fksFU2O78dPSUhh/Y3rGRw42OU8mLF2L2cZlaxr\nmsjBgKsZfu0kkkfp0Wg2M21aAz4+56iqyMAkFqFw75nGDgSdVvPL0QiGL3qVGQuWdFp+49r1vPXE\nVmbXjcOo06GVJNKEPdwfeIT8pGiPjk3zOP949iy6ujoCRZEXFApSAgP5LDKeU5E3Uv9LMDNratBK\nEjp2o1fsx5gwiHH33UfZJ59Yzo0DLS1sbGnhJV9fNG0PELo6V6xzrNfpOFrTwqPSpQzRzidGpWKP\nvz/RKUqefPYKtxdJ7jizvVnv/4/0tRu9r/uXkZGRcUWveaR9fX257rrrenwRbcZ6EW3+fev7qUSV\nlJAkxqNlNgBaSWJWXR0lR0NITc1xy8HrDXa+/TZRJSU27uZAUeSx4mJLX6mpuUQV3WRTb7M+k/yC\n6TbbrBfRAB++uYCKrFkouBwAgWB8B6o5/qujNotojUnF1tu3MihgEAAxQTGkLU0jXGd7r/HX8Tr2\njc8i9b23SEhYhb//GJv9jcsaeTTAZHEBn5/d1GERXVwVwFP5tovohQVaJmxvX4266xdWK9U8NPUh\nch7O4c+z/4yvqqPlIS0/jQX/XUBVc0c/tSOs5327LgqtMIdZjY1k78+nrm4mFRWvcPDgLYwZ8z8O\nvDGNkzdP5qf7V5Kx6nZy3lrAuW8mkHs0FmNN56vruqEGEm4spkV5K0eOXMG5c//BaKx1Wn7D61tI\naZqE0WBA23aypkiz+KQp0uNj0zxOXVMTgW05flwU2dXcTFKJhpIMf2bW1Vn60TKbZDGO6JIS9qxZ\nY3Nu7Gxu5h86HXorY4+reKxzrGtq4oAYT4o0iwJD6xOnsxobLeehp+Oxxp2c9NZ5fjHQ1270vu5f\nRkZGpqtcFC9ksUZhVKGSJAx01IMJBgN6vcItB683UOl0HT26AJJk6ctgUDC47CqUxiDLboOmgg9/\nmosoqjvWBaqqFvDj1slItN8nbPKr5NztjyL5tFi2CRLcmTuBsZG296xHBUbx4KnpjKi2XRB+F6fj\nw+jd6EwiI0ass7F4aMLg9O9ax1I/ykTWfbaLwiZ9IH863UCjlXZ8XIWKDakhqJvbY/LULxykDeJv\nl/+N7OXZ3DP+Hosf3Mzx8uMs2rCIJkPnakbreTdI7ceHYGjXipjdySqdDoPRl+biCCr2j6Twk5lk\nvXwd/374Nxy7YQwzbxAY8Qc1w94LJixTa/NSG2sEBVRXbyMr6x727o3k2LFfUVa2CZPJdpySrnVc\n9jeqmNri9OTYNI9TsMuxUpIwSFpUJlOHfvT4oJQkfKxyAVbzZN+Wk3iscyxYnYfW/ZnPQ3fp6vna\nW+f5xUBfu9H7un8ZGRmZrnLR/V9KVBkxCgJqOv4RldRqNBrRLQevNzBqtR09ugCCYOlLrRbRoGXQ\nuXtsiqQHfE1Fxa0dqvr7j+H8+UcQFSICrQ8OSiod5bcuwxhaYlP21f2BDNcnOIzNTxHMj1sGMKrK\n9qG97OByFm9cjNJnBMXpI2z2lc2Hwpslcp42IFlVM4pqHjvWxPn29TLBDWq2fBdGoEFhk9eu+oVj\ngmJ4/7r3OXL/EebEz7HZt69wH0s2LcFgMjisa983gFpoPz4kdfsHFrM72ajVWspYLyGNgIYW1HUC\nAaeURO3wY+xLYXz20CCGrg0i+JTjDz/Qqt6rqPiCEyduZt++SE6evIuqqu8RRSOCVurQF4CyLQZP\njk3zOCW7HJsEAbWgw6hUduhHQwsmQaBFbRu/ZZ7s23ISj3WOJavz0Lo/83noLl09X3vrPL8Y6Gs3\nel/3LyMjI9NVLuiFdJpfeoffr/3NPEqioshVFKBjNwA6QWBPUBBRY2qYNy/ZLQevN5i7bBklUVEW\njy603iP9QnS0pS+zWzqyYAJI7YuVOv9jiFHX4Os7zLJNqQxk9OhNzJs3miFjDNSSg4kKvvbFAAAg\nAElEQVRUKhc9jj7ONhe/PeFHc1mS0zHNXbaMdUFR/LgljNF2i+ntudtZtGER0WP/SmOxj82+nPsl\njMG2bb1ySsGx+vZLsmq9kve/CSW2Udkhr931C4+JHMN3d3zH7LjZNtu3Zm/lvi33uTS5WM/7fG0J\nOmkXu/39iZ84EbB1J89dtozcKD06aRcqtRqdILBbEIhS7ydHcdYSM7QeO1Pu+j3/PZrEhOfCmb48\ngqT1gR1yZ43JVE9p6Yf88stV7N8fxW+fqeJwXHtfAGnCHpb4lXp8bJrHqfXzo74tx6sVCub4+pIT\npSdqYiN7g4Is/ejYzRnFWYqjopj10EM258ZcX18e0WotYzWP19VxZa6v9fNjuqKANGEP8W0L9N3+\n/pbz0NPxWONOTnrrPL8Y6Gs3el/3LyMjI9NVvPqwYW9itnZ8smYLphbBxid9YNs2PvnrXzl7Ko8y\nXRTqAdFMXDiP+x6ytXZ05uD1BuZY6s6cQUOrteMGK98ztLul3238O+eD2m0bt11yG2sXvsSZM48g\nis0kJv6dwMDxljp/euBl0viehrm2douhdeHcXTiXy+7r3K6w6913aTbU8NaInznvY3u7RkpCCqsG\nXQ+qP9i8aMWaL8+H8M+smvYNksDi7MnMqY90mldv+IVrWmqYu24uv5T+YrN9xaUreGnBS52OWdnc\nzDmjEoYsICZ5tEN38oFt29j02hvkFqqoaRJBoWdKrAm9qRENEBEcbDNGR8fUmEujKSvbQGnpelpa\ncl2OSTT5semNGZxO96ehtpTh8RKjhsd36dg0x1JXWEhJYSGhMTFExsUx5777Wq0da7aS8XUqhspi\nIrQlxI1ItHjI7ccRPnEiFRkZbp8r1vXLams532iiXjcYgyqA4bOn2JyHno7H0/O1t87zi4GecIlf\nSP3LyMjIOMMr1o5du3YxYsQIIiIiHO4vLy/n5MmTzJkzx+F+b3OxeKSt+SHnB678qN2zrFKoKHik\ngKjAKIflPz3+KUs22Rohhg8Yzv7f7CfU17H32RkVTRXM/3A+R0qP2GyfHTebd2fP5lzR8x3qZNaH\n84cMW6PGS/NfYsXMFR713VXO1Z9j5tqZ5NXk2Wx/ecHL/OnSP/VKDO4iSRL19QcpLV1PWdlGDIZS\nh+UUCl9Gj97EgAHX9HKEMjIyMjIyMo7wykJaoVDw0Ucfcfvttzvcv3HjRu644w5MJidPXXkZR4My\ne0iLimo4fPgMVeXlNJ2vYLB/HeMSjYy6bEYHH25o3DCH7lJr/+w5vYLK8KnU6wYgSQpGjw5lxoxo\ncnNbHDpPu+Kuzcoq4Idtp/lb9T2UiYWW7fNKR/K3G/7Zof7f/v1X/nLuWURle77DfMP46d6fGBI2\nxGkf//jH16SlFVFXB0FBEikpsTzyyEKqz2bzzXv/Ym38Lor962zqDVWP5r3ZIqKp/a2HZypUPHjC\niMFqCqZUJXBL7miKamptfNOdjd/sT7b3gbvD6crTzFw7k/KmcpvtiVuTCTo5EE1oMJdeewNDLxnq\n1Ev77bf7WLfuCHq9Go3GwLSxJgyH01DpdB3c2dZjcTXPrvZJkonq6h8pK9tAefnnmEz2Ng8VRUUr\nqKi4oss+XUdOXsCpp9e6fGXleQRBSVjYwA7lzHN1vqKRwvoQohITSB42mKVLx3H11Zc67bs/XFns\ni7is+6yqKkeSTNRX1JJ3II0RITWEDfCX3dYyMjIy/ZxeWUh//PHH3HXXXRiN3Xsls7vYD8rsIa2v\nn8T+/YUUFSrR1aQzVAxAq2hhhLABvbCTB/2UTPdpvXf10eBIKsY9SOKI9nsmdbpUxg0tJf/1ly2+\n4Vfrx/CD4jLCkn9DUFgY9fVHMZl2MWvWtYSHx1vqLV06pEuOamuH6g8Vz7B/4LOWfRFNCpZvv4T5\nL7xiqb/mnX/xx5zHMPhZGTpMCp4a9CTPPfhXp32sWrWVXbuUNDffhSD4IknV+PquZ/TQc4yv+JpX\na0up0orMuaaK4xG2D+6NFWJ4fnQp/gMMVJQI3JsvUWtVJCZfwYYtQahEgbT6ehvftKvxm/3J9j7w\n+1df6/Zi+oPNb7IsfTk6qweWBFHB8A2/p/l0EEGBCqZedwcDY/I7eGm//XYfzz13Aq32XgDqqqqo\nyHmGt7VfEUqd07EATufZ1T77HJhMLRQWvkh+/jMdxnX69L8oLl7usU/XkZO3pGQDgqBl8OAbLdvM\n7QKW8hUVBWRmngESGT8+jPDwEEu5w3v38tYTW4muHcxOQzAq7qZGUU9U0gCCw7bw9NOjSEqK7pc+\n4L7wFFv3WVFRQ2ZmFfU1GfidP8OVOjU6aRdL/TLYHB0uu61lZGRk+jG94pHev38/4eHh3mrOY8we\n0tzcaurqAtA3hBNiSqFGqkBFPGcNVzFdF8UuK/VVUomGkqMhNu1otfPY+PoWG99wkTieBMNMas6d\nA6CuLoDGxtvJy8uxqddVR7W1Q1WzKxGNrt02UOYnEh9QYKlfr6vnz6f+YrOIBli07SaOvuf4TYDm\nPo4fV6DXty6iAQQhFL3+do4eMZFcogEgTKfgrs/GEHUu1qb+L1IRf9yh5swbASw5bbuIHlYh8Mun\nEvsaWyx+aLMburPxm/3J1qQ0TeKTNVucjsWe8x/v4JvvQlAY2x/WlBQi2be8SWhsOPqGegoyMhx6\nadetO2JZRAPUnDtHkuFW1jWPcDkWV/PsyTGgVPqQkPAXhg59E3v53dChD5OQ8Be02ss98uk6cvIW\nFUVSVDTBZps5H9blc3NzUKnmoVIlkZdXbVPOPFeZBiMq7gYgRAykrLgSrfZe1q3L7Lc+4L6Iyzav\n1ahUSdSXjiSsvvUbH60wh1RdlOy2lpGRkbmAcbmQ/uc//0liYiJJSUkAPPLIIyQlJXX4FxISwptv\nvsm1117bK0E7wuwhFUUBSRIs3luza1lEZXHlWupIWhuHsBlRJ9iUEdtcb0Lbyy0kqbUPk8k2fV11\nVFs7VDUtaiYcm2qz/1+XNKFobsIkmrj9i9upC66x2T/zp8uYcGwqphbnr8s2GBSYTGo6mooFJJMa\nvZVXWd3iz/9t+i3BFbZPzGdHNHHfJQ02L1wZ0ASffaYmtEVAKUm2fmirn52NX9I5jtnVWOxR6XRc\nXqJlwpeJNp41Ua3j2O1P0DKwxjLP9l5avd5W92aeY73o53Isrua5K8dAdPQDjBq1AVG0NagkJDzH\n0KHL0eudVHSAIyevKCowmTrmVK9X2JQXxfafrcvr9QrLXJnsHO2SaC6j6bc+4L6IyzavbZ5wUcRk\n5Y7Ud8ETLiMjIyPTf3D5VyQ4OJj4+Hji4uIACA8PJy4uzuZffHw8s2fP5m9/+xuvv/56rwTtCLOH\nVKGQEATJ4r01u5YVGC2uXEsdQWfjEDaj0Eo2ZRRCm6+5TSUmCK19KJW2jtOuOqqtHaqiSsWUw5fa\n7D8UYSAvrJmV21ayNXurzb4R2Zcwb/fVACh9nN+lo1aLKJUGOpqKJQSlAY2VV1kt6PDR+TJh9ypi\npBlO29QYYcPnGhJrW/NiEgRbP7TVz87GL2gdx+xqLPaYcx59yp9rvl5ou8+3geI7N9LU9uHD3kur\n0dh+kDLPsUbR5HIsrua5q/7iiIglnD37N0wmP5vt0dFvkJj4d0TRvdW0IyevQiGidGBe0WhEm/IK\nRfvP1uU1GtEyV0o7R7ugMJfR91sfcF/EZZvXtg/2CgVKof32N00XPOEyMjIyMv0HlwvppUuXkpaW\nRlpaGnFxcaxevdryu/nfjz/+yJYtW3jyySfx7cM/BmYPaVJSKEFBDWgCKqhRphEihGOkgDj1dxzQ\nlDDHKsacKD1RY2yv7up0qdy6fJGNbzhGkUmeei8hgwcDEBTUgL//ehITk23qddVRbe1QTZg0iZOG\nBJJzbO0o/xt5ktcOvGazbfD5aG749jYEFKT5pbPkoUUu+xg9WkSj+QBJar36JUnVaDTrGTNOSU5U\n+yJtvraENL90ksfM4k6+J1aa6bDNN7YqmFsdgNbPj0c0Gub4+lr80PaeZWfjv235Ioc+cFdjscec\n89v8ztNwqIW5P6bY7DcGNXDsilep1n3RwUu7dOk4dLr3LL+HDB5MrnojS31PuRyLq3nujr94xoxb\nOXjwBQwGW+tKcPAOjh27DpOpsdM2HDl5Y2JKiYk5bLPNfMxal09KSsZoTMVozCUxMdSmnHmuxqtV\nGPkPADWKeiKiB6DTvcfSpeP7rQ+4L+KyzWsoRmMugZEnqQpsfYupTtrFPG2J7LaWkZGRuYBx62HD\nxsZGXnnlFaZNm8ZVV13VG3F1ijNrR2pqDoWFNWRmnqGyrIzm85UM8q9lXLLIqLnTO/hwQ+OGOXSX\n2vuGKwdMob5lANBq7Zg+PZq8vBaHztOuuGutHapFOcfJK/+IL0YecFo+VBnK1G9mo6nxt3Fod9bH\nP//5NT/+2G7tuOyyWH7/+1Zrh3XMcVddT1XLIPR6BaKqgQ2Kv3Ko/GdLW9Ny45ibF29xKVu7hotq\nax16lp2xce16hz5wTzDn/ERWAcfOGCicV0LZJNv7lMeEjWPfsj0EaAJstrdaOzLR6zVoNHqmjRUx\nHtnV6VhczXN3/MVZWQXs2ZNKbOxjaDS2esGgoBmMGbMVtTqs0zbsj2vAqafXunxVVau1IzR0YIdy\n5rkqKW+kqCGYwQmJJA8bxNKl422sHf3RB9wXcVn3WV3dau2oK6+l4Kc0hgXXMGBgoOy2lpGRkenn\ndNvaIUkSvr6+rFmzhnvvvbez4r3CxeiRtkaUREa+MZLsyuwO+/zUfuy+ezcTB0/stXga9A08sf0J\n9hft55bRt7Di0hUIjl5/3k8wiSZu+/w2Pjvxmc32BUkL2Hr7VjRKTR9F5j7Nzfn88ssCmpttHyL1\n97+EsWO/R6t17BeXkZGRkZGR8R5e0d+NGjWK22+/naeeesqrwXUVR4Pqir/ZjLsu4646oj/6aD97\n0rIpPnEKn8bTRIlZhASo8E8cQeiMO4gZMrqD2/aB//yBt87+o0N7X9zyBYOLAro01u7kqDPccRcP\n8D1PwTdfeNy/o7arz2az8bnnqD9zBjWtb4288emnLe3pjDoWrl9Iap7tV/qxtZNJOLCYmrNZTI0q\nZWhcsCUO+36SknzIzW2hqKiG3NxSkpIGEBMT3m1vuLvjlaQakpMfw9fXdjHt45PA2LHb8PNz7Ay3\np7Pj234M8dfcyPE8BSdP1ljc6XfcMdXpFVxH9SubB3XL2ewsr4625xeWd9lF3lPnhLndsqIiqoqK\nCAoMpK6+nrCYGCJiYvrFOSsjIyMj0zleWUi/8cYbvPjii2RkZPSp5s6M/aAObNvmsb/ZjLsu4670\nkZVVwKuv7uOnfWpqcmKJbWnBRP7/x96Zh0dV3g37PjNnZrIw2QhJSMKWsAkogSCgIATBqhV99a2+\nWNv6UZdqK1qXqnTBt8W3Fa1bK2oRtbhVqVZtpWqNKLssBsIiEMi+kbBlmWyznu+PyZmcmTmTmUlm\nArTnvi4uyFme5/d7luGZyZn74QL+gpWvsDGd2uRrGHvVVWTn5nrctuXldTy0bD3fXL4CydjhKe/8\nxhv4xbRrPZ7rcHLtTxsFIxR3cW1ZGaWfLWOVtJlxojPk+tXKrji8GmnrE0xoqGRpt2nDotPxxIgR\nXPXii57yLFYL816bR9Ex7+ewE4oWkffp3dh4g0cGfcreEcmMvPtB9h5N99Rz8mQVRUWF5ORcTlWV\nHVHMweFYT17eaMzm0j57w8NtS72+hYkT55CS4r0dusGQxgUX/MuzbXwggo1v33FR4tDzfed0bEO/\nS3Lq9QA4HOVMnFjM/ffn+y2I1e6/Q7iE0d96lOxc95upcJ3NgcZq2qJFHF+71uv4zfp4ytomc5mj\n54uxobrIozUn5HILqqrYYLFwv9NJpySRIAg8rtdTYDazYcSIMzpnNTQ0NDRCIyIe6UGDBjF48GDG\njx/P/fffz5/+9Cdef/11vz9nir74m2VCdRn31RFdW5uOpfE8hlmtgISJEdRyNZ1M5QSzmd3aStXu\n3UCP23bNmr10tcxi8LZXQRLApSNh/0M4Nv7My3MdTq79aaNghOIuriwqoqAjn/XWnkcSQqlfrey6\nfYm0NsR4FtEAZpeLh+vqvMozm8x8/L2PGZMyxuv+1vy1VM96HRM3s6ZzPEsbG3nnuXVe9ZSXl2Ey\n3UZxcQOi6FZAiuJ8KirK+uUND4Zvvk5nIgcObMdi8Tao2O3HKS6eS3Pzpl7LCza+fXP43JrJkLZx\nWBrP8xwTxRxqa6eoepfV7i/oyPeMaejd2SxJEl1dNRw//h5lZQ+yZ88c2lzfpuDn+2ke1/Ml2KWN\njWxZudKvvVsaYplr8X4zEaqLPFpzQi5XdpFbJYlE3LkudbnY1Nl5xueshoaGhkb/EYNf4uaHP/yh\n59/PPuv/uAG4V+w333xz/6PqA31x98qE6jLuqyPa5XL7Y5WlORGxEe85pvRZ22w6bDYDkqQjvmIR\nsbVX4DJYEDuyccXs9vJchxpHX+MPlUDuYqW3Wte966XSWR1K/Wpl6xwOXJKKZk6S/MpLi0/jsx98\nxnlP5tFl6NmOu7LgJQwdSSQXu40cLp/mkZ3KTqfe67jsD++rNzwY6m0ZS1nZo1x++Rs0Nr6miKWV\nffsuZ8KEv5Kaqm46CTa+fXOQ3emCy1sN53QKqt5ltfsBP0e7fK/D0YrFsovW1p20tu7AYtmBzdbg\nXaYJutLg8I+bmXHfEATJHWuM3Q567/6QJPXn3UNxkUdrTsjlyi5y30hkn/2ZnLMaGhoaGv0n5IX0\nF198Ec04+k1f3b0Qusu4r45onc7tj1WWpseBkXbaun9W+qyNRhdGox1B6HZj2xPR2RPd9+md6Izq\n8QbLtT9tFIxA7mJB6InVJbqHm9JZHUr9amW7RBGdYPXXYguCankjk0Yyp/ou1g9/HqdiMX30iicR\nBg+nutSJzqd5ZKeyXu/0Oi77w41GF5Z+tukxyzHe2PcGNS01/M/E/+GSEZf04jwWGD/+VQyGFGpr\nn/Ecd7m6OHDgOsaPf5WMDP83skKMC32M1f0n1ub5Oye3nuPH3yNp8jFqB7fjNEm4TBIZrZXkNX+N\n2ZHCoCEn6OxMobMzGUGwYDQ6/cr3HVeG7n6RDAYEwU58/AESEnaQlvYhO3feRUfHIfw7Tp2uNCdN\nE22kHHDX0WUwgM8CXxBsqsWF4iKP1pyQy5Vd5L6RyD77MzlnNTQ0NDT6T8gL6YKCgiiG0X/m3nEH\nK8rKvH4N+lh6OvNC8LN+9+6r1Z8h9XEZ96WOBQty2bt3G3XVp6lpcz8jbaWScXyEld0MQWRLwjWM\nneo2cLjdtqMZNSqGkpKtnD4todO5f83vcOxm0qSDXHf51ax47nDYufanjYKxYEEua9as93okITu7\nEUFoBkYBbkf2hlMfskqqD6t+tbKzLmhBsnSxokHn9Yz041lZLAxQ3r3fvYra5+wcmvYckr57i3Wd\niyMzKhl1IcyIr6CieSWjjEsAt1O5qOhl8vIup6qq3POM9KhRoz391DQm/DaVJInN1Zt5ftfzvH/o\nfRwu9yf1K3etZOHYhdxx4T3UfuCdr1yfIOjIzX0Kg2EIFRW/UJTq5PDh/0d9/Ys4nZ04nW2eP/c9\n3Q6s9YtjCnDw4EZyF4Dyq4wZtHEFNcAnKtGLbN2ahCimIIrJGAwpXPSTLt6ZbGfGiS7ENh0Xdxzl\nk+zV3D5tEIOH/D/0+p5PTzs6VIoMQsPcDlIOmHgsPZ3ZixaxwucZ6cSMTja2Ffs/Ix2Cizxac0Iu\nt6CrixUOB/dLEi3dz0g/ptMxLzb2jM9ZDQ0NDY3+E/KXDc82Alk7+uruDdVl3FdH9FtvfcXmL0uo\nO1RCbPtRhrqOkByvJ37UeSRdfBPZuRP93LaffLKNP/5xA/X1TgRBYNasdO6551t+nutwcu1PGwUj\nFHdxSkwD1Z9+GHb9amU3VR9h7aOP0lpaihG3teO6Zct6Le+TT7bx2/deZ2v2atCpf/KbI07kEuMN\n5MddzOiceCoquqipaaa8vIGcnFSGDUvtkze8zdbGW/ve4vldz7P/+P6AMeoEHdeNvJ6pLf9NnDM9\noPO4vv4ljhy5k1A/3T2b0eliGDQon4SEGYhiEpWVj3jOuRw69rx2NbNuvstj7fBt78qaE312kUdr\nTsjlNlZX01Rbi9lsxmKxkJydTfrw4WfFnNXQ0NDQCE5ErB0yu3btYufOnTQ1NeFy+S9EHnnkEZW7\nIs+/u0daI7q8f+h97lh3Byc7Tga8ZkTiCH4646fcOvVWEkwJfa6r5GQJL+x6gTV719BqbQ35vlgx\nlntn3svDsx4mMSZR9Zrjx9/l0KHvIUl21fNnJwJxceeRkDAds3kGCQkziI+fhE7nfrxJklzs2JFL\nV1el544xY14gK+vHZyheDQ0NDY3/ZCKykO7s7OS6667js88+6/U6tcV1NBAEgZUr11Nbe5Ly8lPk\n5KSTnZ3k8QtvXLUKS10ddTU1qt7W/rpZQ/VO94dgMcp+atn1m54uMHiwmcGDM1TdvYHKU3M0K++T\nc7W02qht05GUPYakwWnodDamTBnp5VUOVpaSkpIqVj+3jqLCrzjV6iQlwcW0y+Zw+90Lw3YOK+s9\ndcq9M19KyhDVGORrDx34hi3H3qB27CFOxbcFLNtsNHPb1Nu4Z8Y9jEwa6VXX6dPu3eoGD87w/Nty\nsoXy7V8g5h7lwMg6jpqP9xp7YpNIrGCiIUl9++/BsYNZNmcZd067E5PY88ys3C/DRjWw8PatxMQG\nXkw7HEaMxgQkp4G2Ux1IVh0Op4GU7LEMGZrDyfomaopLwCrRqXdhSBuCaOjE1VVPgrmTmHgnxngX\nCOpffusVKQVTTD7V1cOwWCZQekDCcWgzQ42ugHOvsnI5lZX/6/nZbJ5Gfv6u8OtWcCZ8zOeSAzoS\nsYYz/zU0NDTOFSKykP75z3/OE088wS9/+Uvmz5/PvHnzWLNmDWlpaaxYsYKOjg5ef/11xo8fH9Hg\nAyEIAnfdVUlxcSmiOB+Ho5y8vBQsJ98lde8LPHa8GmtrK2aXixU6nZe3FeiXmzVU73R/COaPlf3U\nBw+mIYrz6ejoor7+IOnplVx0UT6pqSO83L2ByvN1J4O381fOdZJlDNtsVk5K59Ek5GNMSCJ+kI0h\nQ4q56KJ8zOZS5syJZdOmzoBlKSkpqeJ3//sZRz53om9NRGQEDr7EmaBn7ILB/OI33wr5P2Cld/nk\nySqKi0uBUeTlpZCamuQVg3ztidqRVBYWMru9nS5pI6PHfcUTM6wcTbcErEcn6Lgs+wrSSq8gx3g3\nJ082U1x8GqhgxIghVFUNoqnjSyxD3qV10g5aEpoDliW44JpyA7dtd3JVucQKnQ7d5BieKnBwwqy+\nWB2VNIrfXvpbFk1axF///I7XGBTN7ZRP2MBVt8wiPiWHJ58so7FxIXb7RKzWOOz2Dxibe4gpx9/n\nqZbAbuYSh541HVP5wnApJkHgUrsdq7SJxXG7+SArlblP/B/Qxs6nfs3irhPYB7lwxLv4NCOe3Gsu\nBSw07NnE1AYb5jIDCaVGfukYysnJdzFq/O3UlpVRWVjIhW2fsDhuN+NEp+rc6+qqYvv2USgfW5k2\nbR+DBp0fypDw40z4mM8lB3QkYlXzvYfrD9fQ0NA4G4mIR/q9997j+uuvZ/ny5UycOBGA7Oxsrrji\nCj7//HNsNhtr1qyJSMChUl5ehii6X7RFMYeKiibq9iWSW2/E2tGBufvTcV9va3/drKF6p/tDsBhl\nP7Wcf1NTJ6I4ldbWKVRUuH29SndvoPJ83cm+98m5ljvtWKRcdFyKwRlHZ5sJnS7HU5/JNJ81a/b2\nWpaSzz8vo25fIskWPSLu/2RF5pFiaaV+f1JA57AaSu+yPCbk8eAbg3xtZVERs9vdnwDHCHOxleZw\n5MNB3Ff6LW6bchsmvb8twSW5+FfNx7xhuoeXmcnW5jfQG4YjivP5qnodpef/moMLf0zNxf8KuIiO\nk4Yw8pvrePTlybzxnp6F5SAg8HOXhPCNk/q3k7mufioZgzL87q1oruCm929i+urp/PHtl73GoMMS\nz/AdV/Hmk6X8+c9dVFXdisUyk64uM5KkRxSv55s9seTWe6vifN3Mn1szMQlzMFsszG51P4ZiEuaw\n3prJ0sZGNq9+jU2r3uWn+1pIPGIkdXcMGZvjWPyuxFerrGx7UeSGp2PI/UsCaTtiiTmlJ6feRP3+\nJABPu8tlyjH4zr2YmBEkJy/wOtbQ8GfVNg2FM+FjPpcc0JGIVc333ps/XENDQ+PfgZAX0jU1NR5z\nh77b42qzuTdLEEWRm266ibVr/c0A0UT2/Mo4nQI6hwObZELweeeg9Lb2180aqne6PwSL0e2n7slf\n6vbsSpLg8RxDj7s3UHm+7mTf++RcXZKI5JG8CMjNq6zPZjP4FuNVlhK7Xed2QfuIY5ySiGC3q94T\nCKV3WdkmTmdPf8jlydfKTmvP+W73cVazkdXXrKb6vmp+U/Ab0uLTVOusE3ZQPOYedszMpSh/GhUL\nfkljxhugV3+8IvHEGK6T3uQ+ahhTfD3xlgTVMSpKArPqMym9u5TlBcsZZBzkV1bRsSK+mv0lb31n\nNY2p9V7nnF1Ct4Pcfyy6nKKXw7tddLEvxU7dMAuPT27j9jnNrLzuKH+76k3K5v+Lr6dtpyT3G46l\n1dFk0iEhBZ0/aufsksnjlFa2uzIWtbmXkfFDr58bG9/A5bL5XRcKZ8LHfC45oCMRq5r/HNTnv4aG\nhsa/CyHr78xmM47u/wTNZjM6nY76+p7/xBMSEjh27FjkI+wFnY91Qa+XcIgiRsGKJHgvJJTeVinA\nc9yhullD9U73h2D+WNlP7Ymp29csCJLHcwxu13Fv5fm6k33vk3PVCQ4E5EWQhNy8yvqMRvVFpFyW\nEoPBhUsUEfF+LlgvOHAaDKr3BELpXVaOCb2+pz/k8uRrZae153z3s79y+6bFpzy7HzAAACAASURB\nVPHI3Ed4aNZDvL3/bZ7Z/oyqacMaU401plo1LtEuMuxgOpftvYHymIu54IYbPHUHG6PxxniWzV3G\nHdPuYPnG5awqWuXR5MmUjiqhdOQRJn+Tz7ytl5NoSUYfI3U7yKXuuiw4Esqwm0vpHP0Zf00+xAcp\nrRxNdHAsvqeter750Am4P8mv9Mnnt3YY5NpIoi2Wg4MsDGvTM7xNz7A2PcPa9XTGGTA4/RdNBsHq\n8aQr213pE1ebe6mp1yKKSTgc7k/37faTnDq1jiFD/tvv2mCcCR/zueSAjkSsgf3nA/O9GQ0NDY0z\nQcgfFeTk5HDkyBHA/Qn0hAkTePfddwH3Fww/+OADhg0bFp0oA8aUi8OxHgCHo5xRo5LJuqCFskwb\nprg4LN0rzcd0OuZ0e1vn3H67282anu5VlnwuFL5799VsiCvyOrYhrohFIXhrQyVYjAsW5JKd3ejJ\nPzk5FodjNwkJexg1yq2dc7uHc3st78a7F2K1rvc6rrxPzjVHb8AslOHiC+z6DmIHWXG5yj31uZ+F\nnNxrWUoWLMgl64IWmsxOHFQB4OBLTpkTyDy/WfWeQCxYkOupVx4T8njwjUG+dmR+Plvi493npU3M\nN9WrjoEYMYYfTvkhe+/cS+EPCpk7dF7QeEwtKVy2YSF3/WkBz28QKWlrZES3JxwIaYzKpMWnsfLb\nKzn4k4PcMOEG/8oEib2Tvua5Wx/n5QWrMd3s4vScdRy7YgE1i9Ko+UECx/5rCicvvYH2Sz7hq0kn\n2ZRp81pEh0qnAU6YLJSaj/Pq+E5+M62NWwta+NbC05y36ATLJnzA76Z8RuaiZh6Y2copk7uOskwb\nmee7F8Nyu8ttDoHnnl4fS1qa93cOjh17Ney4Ifh8igZnos6+EolYlfNQJtD819DQ0Ph3IeQvG/7q\nV7/ilVdeoba2Fr1ezwsvvMCSJUsYNcq92UZFRQW/+93vWLp0aciV19TUcPPNN3P8+HEEQeBHP/oR\n99xzD6dPn2bRokVUVVUxcuRI/vrXv5KUlOQduCDw/PPrqak5SXn5SXJyMhg2LMnjF960ejWtNTXU\n19Soelv762YN1TvdH4LFKPupDx5sBnqsHSkpGaru4UDlqTmafa0da1d+REuLjbp2HUlZY0hKdVs7\n8vJGenmVg5WlpKSkitUr11FUuJ3TLQ5SEiXyL7uE25f0zdoh13v6tNvakZw8RDUG+doj+49StWMD\nYxObGTzEHPIY+GTXen73xbPs6CrEjvtTVQGBXCmPaa7LSDsxkuodmzzlDr/iWk53Zfg5sIONUTV2\n1u3kocKH2Fi1Maz2ORMkWWO4qe5ifvD9pSQPH+vpn9qyb6C0kKGiM+jca239mt27L1Qc0XHRRTWY\nTJlhx3MmfMznkgM6ErGGM/81NDQ0zhUiYu1oa2ujtraW3NxcDN2/pn366ad54403EEWR66+/ngcf\nfBCdLvTn4RoaGmhoaCAvL4+2tjby8/P58MMP+fOf/0xqaioPPfQQjz/+OE1NTaxYsSLkpDQ0BoJT\nHad4+8DbtNvauX7C9eSmDMwnb5Ik8fHRj3n484f55sQ3fS5HL+gZmTSS0SmjGZMyhtEpoxmRNIKm\nziZqWmuobqn2/F3dUk2HPfxtCUWdyIr5K7j/ovsRhPC/QyBJEl9/PZn29p7HanJyVjB8+MNhl6Wh\noaGhodEXIrohSzS59tprWbJkCUuWLGHjxo2kp6fT0NBAQUEBhw8f9rpWEARWfOc7A+5njZYnVc3h\nCvDekyspqzNi18cx/pLpXo7lUGJRlnvMpoMx3yJ79MSgrmXf8vfu2sqhr/bQ3hGPpIcLC8ay9JHv\ne9R6Lyz9X44edSJIRrpiDIgxRjLMKUEd22o5AH7HZDd4f/s72l5fufzTp9o53JzEqJkFiHoHHP3M\ny5ucPHxsWONIrZ2cLif3vfIIm8QP6IpVX+TqBT3JXbEktMUgNSeTGj8eW8MgTDVtZFgNjMl0cP3P\nlni1wfbCQt5ZvhxLaSkGenaMHHfJNGpaehbY2/duYv8322jRt9Nk6sJi7MKJ+iMj8eVZDNs0h4tm\nTebhZTeGNWdqap6lrOw+z8+xsWOZPv2wZ2Gu7NPG5mZswLCkpIi4kJWe8FDmzNlOIP99KPMilGsG\nwq+voaGhMdCcEwvpyspK5s6dy4EDBxg+fDhNTe4vPEmSREpKiudnGUEQkIYO9fw8EH7WaHlS1Ryu\ny+LiqLIKZDVNwCTMAWBLfDxZBXp+8ZtvAQSNRVmu7AfeNehKkqZPpOG0jUCuZd9cD+zezFeFGxBs\nU8jUDSZOkKg0bCVvjsSNN2Tz8f/+L9V1IymQZtOInmKGUU8FFxrtTDKmBHRsq7XnsWPvI0lWMjO/\n6zlWcXg1qXtf8PMfh9vf0fb6yuVfV3eSNR1TMQlz+EQUMQkCs2zrPd7kBxLTOTn5J4wa3/P8aW/j\nSK2d6uvfprHuBO1FRmZYm9gzaRc1GV9jMHRy6RU3ctnFC7EcaqDkf5/h+tpTrOmYisWVx99dsbgo\nYJSrgjzDMczCRmzDqrnhj094tt9++847GVpdzdLuL+VadDqeGDGCq1580evRKN+2vC8pjZqpN1GW\nVUpxnL82zdicQco/7mX6+FieePq/Qp4zNtsJvvoqE0nq+bLllClbSUy82CsOm9WKtbWV54ECs5mZ\nMTH9ciF7e8JjqarqpLc5c7YTyH9/2fdHof/i417nRShzZyD8+hoaGhpngoh4pMG9u+Hjjz/OzJkz\nSU9PJz09nYsuuojHH3+czn4ondra2vjOd77DH/7wB8xms1/wofxKeCD8rNHypKo5XB+qq6O1Idaz\niAaY3d7ucSyHEouyXNkPPLu9nQM7d/TqWvbNdf/O7cTZLkZkMk0ut4d4pH0Wh4sF3nnuI1oaYimQ\nZgNQRhImRjCSAg7Y3aqyQI5ttRxqaqZQV+f9pSfZDa6kL/0dba+vXL7c1oDHx6z0JufUGz1eZZne\nxpFaO9XWplNSlMns9nYMDiPTi2fxnU9/ym3/zCFtXSOXj76cstc+4pcNxz3xlDvtjLBdjMlmQ2QE\nFQ4zJmEOufVGTxtsXLWKzPp6zyIawOxy8XBdnVc7qbXl6DoTLXtGMXT/jUzc/yFCl/e26rakBhq/\n9yu224r5/PPSkNvVaBzC4MHXeB2Tv3SojEN2x8veeOifC7m8vAlRzEEU51NcXBx0zpztBPLfr3tl\nfdB5EcrcGQi/voaGhsbZRsj6uxMnTjBv3jwOHjxIQkKC50uGBw8eZMeOHbz++uts2LCBIUOGhBWA\n3W7nO9/5Dj/4wQ+49tprATyPdGRkZHDs2DHS0tRdvr+29OxCV2A0Rt3PGi1PqprDVZAkXJLR/3gQ\nx7LynLJcu8LZKyn8ymquZfDJ1alD6n7PJSnee0kOHS6rAIo4lV5oiR6vtJpjW609XS4B3/d3shvc\nl3D7O9peX7l8ZVsrM5FzUHqVlQTqV/V20nn1o7IOOR/feFySiADIdzm7+8rvHrV33ZLk1U69+aJd\nLh2pJ/+LhK3v0nb1XTizehbNkt7B8dl/5qXmMr7fNY3EmETVnH0ZOvQWTp583/PziRNrGTPmD15x\nKL3ceuW/++hCdo9FN06nUfFv9TlzthPIf69zqP83EKy/fa8ZCL++hoaGxkCwYcMGNmzYENK1If8v\n8OCDD3Lo0CGefvppjh8/zp49e9izZw/Hjx/nqaee4vDhw/zsZz8LK1BJkrj11luZMGEC9957r+f4\nNddcw2uvvQbAa6+95llg+/Jrs9nzp8BkirqfNVqeVDWHqyQI6AT/zSekbsdyKLEoyzUonL2Cwq+s\n5loGn1z1LoTuZ18FxTOwguhCZ5IQFHHq6Pn1u0DPYlHNsa2Wg07n7cGGHu+yL+H2d7S9vnL5yrZW\nZiLnoPQqKwk0jtTbyeXVj8o65Hx849EJDiR6Nt3Wd/eV7z0Otd8ACYJXO6m1pZyX7PLWW7Ixv/oo\npu3/z+/afY5N5L+Uz+5ju1Vz9iU5+XKMxp5HuZzONk6ceM8rDqWX26n8dx9dyDqdcp7YFP9WnzNn\nO4H89y7RoXo8WH/7XjMQfn0NDQ2NgaCgoIBf//rXnj+9EfJC+qOPPuKWW27h3nvvxWjs+XTGZDJx\n33338cMf/pB169aFFejWrVt58803+fLLL5kyZQpTpkzh008/ZenSpRQWFjJ27Fi++OKLkJR6A+Fn\njZYnVc3h+nhWFgkZnVilTZ5jm+PjPY7lUGJRlrvAVI9V2sTm+HgmTZ/Rq2vZN9fzp8+kw7gNB3tJ\n1rkXFBWGrYzPk7jx7qtJzOhkg7AFgFyasVJFJRuYZHCPk0CObbUchg3bQ1aW96+QZe+ykr70d7S9\nvnL5clsDWMxmtiQkeHmTlV5lmd7GkVo7ZWc3Mi6/3uPCBrcPuzTT5snHN54cvYEq4zasRiMOqhgl\nWlTvqc/MZIXCvmPR6ViRleXVTmptKeclu7zTswZjl2yk/GsOg/+6HH1XvPf1TWVc9MpFvLjrxaAG\nHp1OJD39Zq9jx4696hWH7OWWndzQPxdyTk4yDkc5Dsd68vLygs6Zs51A/vuFt84POi9CmTsD4dfX\n0NDQONsI+cuGZrOZ3//+99x5552q51988UUefPBB2traIhpgIARB4PEbbhhwP2u0PKlqDleA955+\nnvIaEbs4iHGXXOjlWA4lFmW5xxx6GH0Z2bkTg7qWfcvf+3W3taM9HknstnYs67F2vLj01xwtdYBk\nwmoSEWOMpJtTgjq21XIA/I7J3uX+9ne0vb5y+adOWDjSksSIGQWIosPPm6z0KocyjgK10+qV6yjZ\nvAuDo42cYQ6uv/8uPwOHMh7z2DzqGjpwNZSTLHYGvGfto4/SWlqKkR5rh5rFwbct5bxkv3uX5RSH\nd+9Dcugh1c6p67ZzOsZ7W3OARRMXsfrq1ZhNZr9zMh0dJezcOd7r2PTpR9m3tcITx/GWFmxAdmJi\nRFzITU1ua0dKSkZIc+ZsJ5D/PpR5Eco1A+HX19DQ0BhoImLtuPTSSxk9ejQvvfSS6vnbb7+d8vJy\n1q9fr3o+0mgeaQ2Nc48uRxf3/+t+Xvz6Rb9zYweP5d0b3uWC9AsC3r979yxaW7d5fh4+/Jfk5Pxf\nVGLV0NDQ0NCA3tecIX/Z8Mknn2TBggVMmjSJn/zkJ4ii+1a73c4LL7zA3/72N7744ovIRBwmfXGX\nRssHDeE7oaPpNlbLU3YyK13HYyaNCeqSDsU3HYm27G97hDMefGMfHNtA1cfv+3m31fIKlHekXbqB\n6gnkCDcYXDSXr+erV17hRNsQml1GugZlMffbc5lxyZSg/SOXW1FaS3GlgDM2mRZ7HMkxDjKTDORm\n2Zi2aBGnOjP82u3Q0RoOV+no0sXS3GkiySzQ4XLfmxCnx6mXSMudQD4XsW/KTuyi01PvkVNHmPHy\nDJ678jlunXKrl61HbgOz+WKGD+9ZSDc0rMFmu4X16yvZsXkP27/cheR0YjINYvq88Uw6L553/rSO\n48dFBHRkpDn46W++79UfvY0B5fjrrb3V2vSTT7axZs1ebDYDRqOdxYsnc+WVF4fdz6ESKRd0KETz\n9VNDQ0PjXCLkT6TnzZtHbW0tZWVlJCYmkpOTA0B5eTktLS3k5uYybNgwv/uitbiW3x30xV0aLR80\nqPtWfxobi82mI0nFCX3lt+KpfO73UXEbq+UpO5l/dKrHdbwlPp6Rl13GkOzKgC5pmd5804GuCYf+\nup7DGQ++sdeWlVH62TJWSZsBPN7tkZddRnZurldegfIeMugQ//jjtoi5dAPVM3lMo2fcKB3hIy+7\njBPHjlH2xW+5SOrExDSKiaeSedgMx5hz5STGTDgesH/k9r+qvJ41lguwSpP5O4NwUcBwqskzNuLS\nb2V3rJ7J336C7NxcT7td076Bf3RMJFWazC7iGcJEqqjHxFRSqUCnM+IUykBq4xpjMo2pn7Hp2s2U\npPobTH5wwQ948aoXiTfGe7WBXm/h4osz0Ot7NqApKvodX21ayLbPDiLahgIVpAsJVOm6sDm/JM6V\nwFgWutuOarrMH/Hws9dx4y039ToGxnUv8lekp5O2aBHH165VbW/fsQHuRfTy5QcxmW5T9NvLPPLI\nBNXFdH/nUSjzJlIe9Wi+fmpoaGicjUTEI11RUYHD4WD48OEkJiZy6tQpTp06RWJiIsOHD8dut1Ne\nXu71p6KiImJJBKIv7tJo+aBB3beaWV/P6ABO6Hee+yhqbmO1PGUns9J1PLu9nardu3t1Scv05Zpw\n6K/rOZzx4Bt7ZVERBR35rLdmenm3q3a7zRLKvALlvebF7RF16QaqRzlufGOt2rmTYdJV1JNPORIi\n8xgN6OxDObCzpNf+kdv/s450zNJsypEYQQEmwMRwyu3x1DivIq1tnKdd5HZb0zmeAmk2+5EYxTya\nOY2Da4klhnYyaHGNxuKaQ7bLjtNuJ7P529z5l8ncdsjfqvHGvje4cPWFHD111KsNnE4zJ07c4HXt\nsGHF7N9RQrwtFR2j0HEpzdJJnPbB2F3fJZ7RPW3HcNLa5nn6o7cxILO0sZEtK1cGbG+5T5RtumbN\nXq9FtPua21izpli13fs7j0KZN5HyqEfz9VNDQ0PjXCPkRzsqKyujGEbf6Yu7NFo+aFD3rYqShCOA\nE9olqccZCbexWp6BnMyy1zigS1pBuNeEQ39dz+GMB9/YdQ63Bsy3fZTOZzmvQHk77f79HKj+UAhU\nj0uRp9JbLdjtGJxOXIheHm9wv2uWHO77AvWP3P7yeHVh8HNPC4ggiZ52kdvNKclWDne9UvfLiwsd\nAnokdAiAUxmXPZbVm5JoN43j7+OO0GHv+aT50MlDXPbGZdzqetorxmPHbiEj4zXPz6mpHxIfeyWt\nDPYcc9etR0LviUPGiejpj1DHQIzdDnq9+x6f9pZRtqnN5q83dB9XHx/9nUehzJtIedSj+fqpoaGh\nca5xzr/y9cVdGi0fNKj7Vh2CgBjACa0LEH8k3MZqecpOZoOPl1n2Ggd0SSsI95pw6K/rOZzx4Bu7\nq/u5f9/2UTqf5bwC5a03+PdzoPpDIVA9ynHjG6tdr0eHAz12dAqXtwsQRPd9gfpHbn95vOqw+7mn\ndTjQCw5Pu8jtphfau69y1yl0e6p1uBBwIuBCAvSKmGS3dl7nGHbdvosJQyZ4xVPVUsUrnb/ETs8C\nu6XlEjo6ej5l1ulsTJ+z2dtxjgNwdtfr7UnW4/D0R29jQEmXYgwEGxvuf/s/ruI+rj4++juPQpk3\nkfKoR/P1U0NDQ+Nc45xfSPfFXRotHzSo+1brMzMpDeCEvvHuq6PmNlbLU3YyK13Hm+PjGTF1aq8u\naZm+XBMO/XU9hzMefGMfmZ/Phrgi5pvqvbzbI6ZOBbzzCpT34h/PjKhLN1A9ynHjG+uI6dOpEf5J\nJkXkIODgS0oBl+EYk6aP67V/5Pb/VlwjFmELOQhUsQEr7ueLcwztDNP/k+ODSjztIrfb4tjDbBC2\ncD4CFXxJEimIfEgnXcTTQKKuFLNuE7U6A3qDwePWlvt3wpAJ7LxtJzdOutErpirHYd5zXY7kWSgL\n1NVd4nXNpd/eRrvxJC4qcPEFSUIqesMpDLq3aadnZ0Ur1Rwf9KWnP3obAzKPpacze8mSgO0t94my\nTRcvnozV+rJPv73M4sV5qu3e33kUyryJlEc9mq+fGhoaGucavX7Z8Oqrr/b65nwo/OMf/+h3UKGg\nfPC7L+7SaPmgIXwndDTdxmp5yk5mpet47PljgrqkQ/FNR6It+9se4YwH39hTYhqo/vRDP++2Wl6B\n8o60SzdQPYEc4Uaji6ay9Wx/5RWOt6XS7DJhNWcx58q5zJwzJWj/yOWWH6lmbyU4YlNoccSRYnKS\nmaQnZ5iDaTf8D6e7Mvza7WBJFSVVAp26OFo6jSSadXRI7nvNcQKSCKk5E7DWlzE2sZnBQ8x+/etw\nObj67av5tPRTr7gWxP4PVxl/jNHooqAgjuPHL6bns3L48N37+ORvdbgcLmJMg7iw29qx9k/raDzh\ntnYMHeLgHhVrR6AxoBx/vbW3Wpu6rR3F2GxGjEYbixfnBbV29GceRcoFHQrRfP3U0NDQONvos0da\npwvvA2tBEHA6ncEvjACaR1pD49+XVmsrs1+dzf7j+72Or1q4ih/l/wiAffuu5PTpnsV2VtbdjBnz\nxwGNU0NDQ0Pj358+WztcLlfQP19++SUXXnghABkZGZGPXkND4z+OBFMC625aR8Yg79eUn/zzJ3xW\n9hkAGRk/9DrX2PgWLpf6F+o0NDQ0NDSiQcgeaV/279/Pww8/zKeffkpCQgIPPvgg999/P7ER+JJc\nKAR6dxCtjQKiuWkKhLbphlq9kYgrnDIGctMHXwZqE4izcbOJQJv8yMdqmpsxAulJSarnffuhtxzl\nc7W1zZSXN5KTMxhRdCEIelJShng2Lfl67VrPBkNDJo1FEESO7z+IwdlBbpaN63+2JOSxqraJzZRZ\ns3jlk495tuU+7PQskBNMCWy9ZSsTUsewbVsmDsdpz7kJE/5KWpq3Hs+XUPt3e2Eh7y9fTmtpKXbA\nPHo0Nz7yiNfmLMpNjRKGpCBJTgYPzojouAk13pKSKt588ysOHWpGknRMnJjM97433XNtpOdlOPPk\n1RUr2LxyJbF2O50GA5csWcItS5f2Wn5v8Z6Nc1RDQ+Pfl4hsES5TXV3NsmXLeOuttxBFkR//+Mf8\n6le/YvDgwcFvjiBqSUVro4BIbWQQiFA23VCrNxJxhVPGQG764MtAbQJxNm42odamy+LiaJUk/tDZ\nyfauLjZYLNwFmBISMJpM/DQ2lgRB4NGOHtuF3A/Jw8cGzBFgzZpSLJZ8iotPI4o5tLa+jSCYiI3N\nIy8vha6WU+z7eBl5Hc1kivM56WzlfVcMenL5L30tqToJq7QJ27Bqbvhj8LFaWXPCbxOdfxq3kTlz\nLlMuvIfDfMha/huEnvk+PHE4O27bgeXY76ire85zPCXlCi644JOAbRlq/24vLOSfP/4xD1VVYXa5\nv+S4Qqfj2PDhTL79do6vXct1dT2bGv3LFE9HxoWYk5rJyxtNauqIiIybUOMtKaniqae2cfBgGqLo\nvtbhKGfixGLuvz+fpuojEZ2X4cyTV1esYN/y5Tyr0O/dazJxwSOPBFxM9zZeehu/2mJaQ0MjGkRk\nQ5bTp0/zwAMPMG7cON58801uvPFGDh8+zDPPPDPgi+hARGujgEhtZBCIUDbdUKs3EnGFU8ZAbvrg\ny0BtAnE2bjah1qYP1dWRVe82S2zs7GSpy4XZ5cLWvXDOrK/n4bo6r3vkfugtR/lceXkToujevdRi\nSae1dQqimENFRROVRUWkts2jzuU2UJQ77cTYZjHSlkGFw+wuT5hDbr0xpLGqtonOkLZxlOx2b4oy\nnmv5Fk96na9uqeaat68hKdXb8HH69Gd0ddUGbMtQ+3fjqlU8VFfnWUQDLHW5yKqv92zOotzUKNmi\nx9IYgyjOp6KiLGC54RJqvO7fIKR7FtEAophDbe0U1q8vi/i8DGeebF650msRDfCs1cqWlSsDlt9b\nvGfjHNXQ0PjPJehCuqurixUrVpCbm8szzzzDnDlzKCoq4s0332TkyJEDEGLoRGujgEhtZBCIUDbd\nUKs3EnGFU8ZAbvrgy0BtAnE2bjah1qaCJKHvfncsKt8lK4+pvHvWd3b2mqN8zuXqGXuSpEPq3jjI\n6RTQORy4EHFK3RuuSKLXhi2e8iRTSGNVbRMdlyR6No8BmMl9TJN+7HXNrvpd3PHZk8QPUirlXDQ2\nvq5aF4Tev6LViqDWfpLk3pwF741ZXIgI3Ytup1O5MUv/xk2o8drtOlwu/2udTgGbTRfxeRnOPIm1\nqzu1YwIch97Hy9k4RzU0NP5z6fWV5+WXX2b06NH84he/YPTo0RQWFvKvf/2LvDx1F+qZJlobBURq\nI4NAhLLphlq9kYgrnDIGctMHXwZqE4izcbMJtTaVBAFnt5rSoVRUKo+pqCudsbG95iif0+l6xp4g\nuBC6H6vQ6yVcoujZlAVAJzi8NmzxlCdYQxqrapvo6ASHZ/MYAAGBK/kjEwwXel33weEP2Nmc4nWs\noeHPAX8FF2r/OkwmJLX2EwTP5izKjVl0OJC6LUd6vXJjlv6Nm1DjNRhc6HT+1+r1EkajK+LzMpx5\n0qnYtEZJV4Dj0Pt4ORvnqIaGxn8uvS6kf/SjH1FfX8+0adNYtGgRe/fu5emnn+71z5kkWhsFRGoj\ng0CEsumGWr2RiCucMgZy0wdfBmoTiLNxswm1Nn08K4u6TPejD3NjY1mh02HR6TDGxQHuTYAez8ry\nukfuh95ylM/l5CTjcJQDYDY3kpCwB4ejnFGjkhmZn8/JQV+SpSsGIEdvoMu4lUpjA6NEi7s8aROl\nmbaQxqraJjonBpUwbmq91zG7dSOvX/Mq56ed73X8Fzu+wKX4JLyzs5SWli2qbRlq/8694w6eyMrC\nolCAPqbTUZeZ6dmcRbmpUZPZiTm9C4djPaNG5QYsN1xCjXfBglyysxtxOHqudTjKyc7ew/z5uRGf\nl+HMk0uWLOFen4XxvUYjs5csCVh+b/GejXNUQ0PjP5eIeqTBrcwbCHqzdkRjo4BobpoCoW26oVZv\nJOIKp4yB3PTBl4HaBOJs3Gwi0CY/8rHalhaMQFpioup5337oLUf5XE1NM+XlDeTkpGIwuK0dyclD\nPJuWfP3uXz0bDKVOGoOAyIkDhzA42sgZ5uD6++8KeayqbWIzZdYs1RhrWmqY8fIMjrUd85T96wkC\nc4f0vB5kZCxm/Pg/q7ZlqP27vbCQDx59lNbSUmxAwujRLFq2zGtzFuWmRolpbmtHSkpGRMdNqPGW\nlFTx1ltfcfBgM+C2dtx0k7e1I5LzMpx58uqKFWxZuZIYu50ug4HZIVo7+jJ+NTQ0NCJNn60dGzZs\nCLuygoKCsO/pC9qGLBoa/7kU1RcxZ80cOuzuL1demAxPXNBzXqeL4+KLLIWwSgAAIABJREFUGxBF\nc5/KLztdxpv73mTtN2upt9Rz/0X388jcRyIRuoaGhobGOUZE9XdnC3JSmmu0d4K1QW/n++qdPRd8\nz+Hcq+Y4vvGWm/zaZ8S3/5tTnRle/uXs7NR+5x+oH9yfQO7km2+aEAQX552XxPe/f5FfXdsLC3ln\n+XIspaUYAHvmKJIv+h7Zoyf2qX/U2q68vI41a/ZisxkwGu0sXjw54HbYkRoffz/8d65bex0SEjrg\nnZkwRPEEwbhxrzB06C1+9Q2ObaDq4/cRrVaO2XSU2IdRUWLBKVpxXXAUy6RjHIs55lff78cvp3bl\nZ552TBg9mv/u9kqHkpN7y/C9nDxpo6mpidGjYxCERHJy0snOTvKKq6+eZ3msWlptnLTGkjd7CjMu\nmdKrezrcvgjFrx0t376GhobGmeDfdiH91Wefaa7RXgjmeu3tfF+9s+eC7zmce9959S9+juMNcUVc\n9v1R6L/42NM+JQ49dwiXkDrz5zScikcUc3A41pOXNxqzubTP+Qfy6Y68+0G+3BHDN9/keTR1Dsd6\nJkw4zgMPXOz1ZujtO+9kaHU1S10uSlxGXhJmsyvpasZedRXZublh9Y9a2x069BIlJV0kJd2jaM+X\neeSRCX6L6UiPj5//Yxkr9vwfALeOhO8rikhImEV8/Fte9dWWlVH62TJWSZsBWNF2Hh+OTEGaXE/r\nmK+Q9A4MAkxOghkp7k+6B4nwtzr4+Bs9P3sefmV3v2RadDqeGDGCib9Yzt6j6b3m9Mkn21i+/CBO\n5/dpaOjE6YyltfV5Roy4iKSkDDIGt3Ny+2OskjYzTnS6YwvT8yyP1UmWMRQ7jIjMo9JwjGkLxjJm\nwnFV93S4fRGKXztavn0NDQ2NM0VEPNJnI5prtHeCtUFv5/vqnT0XfM/h3KvmOC7oyGfdK+u92udz\nayYFHfkc2HHEs7CVncL9yT9QP7zz3DpqaqZ46pLrq6tL96pr46pVZNbXs7R70fM5ozBLs5nd2krV\n7t295q6GWtsdOJBEe/vVXsdMpttYs6Y4pPv70z5Z1QVMk34CwCcN3udaW7eyadMGr/oqi4qY2zGV\nVYPN3Drbypv3bKZ50VpMkzezMNvB/02Ev8+C318A12fDiHgYbIIf5cCVE52I03u+A2J2uXi4ro53\nnlsXNKc1a/ZiMt1GU1MnOl0ynZ2d6PUP0NhYjCjmcGBHCQUd+ay3ZnruCdfzLI/VcqcdkXkAjLQP\n5cDOkoDu6XD7IhS/tpJI+vY1NDQ0zkbE4JecvWiu0d4J1ga9ne+rd/Zc8D2Hc6+a4xhA5/CeOrJT\nWHJ6Xyc7hfuaf6B+cFm9Xc/K+mw2n/sV76Lt9Dz7ICg8vqHGp9Z2Tqfo8UwrsdmMId0fTv2+OBx6\nruQPNEsVlHZ9wt5m96fJMgkJn1FX9/8AOMVRyie8Q9HlG7Ekn2ZSAtyS4v7kOWdQ8LruyIHHviPx\ng32QZenOV5JwqXeRV042m6H7crmdhO6f3W0kOd0/2yRvu0U4nmd5rLok77Ep+7jV3NPB4vYlqF9b\nr/c/FyHfvoaGhsbZyDm9kO7NNRqjuUaD+lZ7O2/po3f2XPA9h3OvmuMYwCU6vH42CFaQQPBZR8hO\n4b7mH2iM60zermdlfUbF+tVhMnn5pA30rPokhcc31PjU2k6vd+B0+sdiNNr8jkV6fBgMLnSIXM87\n/Fm6hE8a9nktpOOTP2SX8Ef2Sn+hw7iD6QtgZgpMS3E/shEu90+C398k8eyq7jYVBHTqXeSVk9Fo\n775cbiep+2d3Gwl6989GwXtVHo7nWR6rOsEhF+8+3u3jVnNPB4vbl6B+bRVrU6R8+xoaGhpnI+f0\nx7Oaa7R3grVBb+f76p09F3zP4dyr5jjeEFfEwlvne7XPAlM9G+KKmDRjrMe/LDuF+5N/oH648e6F\nDBu2x1OXXF9WVqNXXXPvuIP6zExWdKssF1CBRdjCloQERkyd2mvuaqi13aRJzcTHf+R1zGp9mcWL\n/TduivT4kMszkcB3WUfRiXQ6FO9xBhk7mDz+pyzL38H7F8PS8VCQFnwR3XHCTP2nMyh9+Rqczp6F\no0kPc66FzXkuLDodK7KyuPHuhUFzWrx4MlbryyQnx+JyNREbG4vT+RTp6Xk4HOVMmjGODXFFzDf1\nuLPD9TzLYzVHb8DBlwBUGo4xafq4gO7pcPsiFL+2kkj69jU0NDTORs7pLxvK1g7NNRqYYG3Q2/m+\nemfPBd9zOPeqOY5la4eyfYZfcS2nuzK8/MvDhqX2O/9A/VBSUsVf/uK2doCLCROS+N731K0da7t9\nyEbAPnQUSRffRHbuxD71j1rbua0dxdhsRoxGG4sX5/Vq7Yjk+FCW1yAcRkhfwuUZzuA3KnC5BCqO\nDKGqJB04n/0bnTi7dOhjJG5eOojktJe9rq9ugUMrZ/JfDy339EWwnNzWjmJOnrTT1HSa0aNjEYQE\ncnIyGDYsiZSYBqo//bBfnmd5rLa02Dhli2XyrCnMnDOlV/d0uH0Ril87Wr59DQ0NjTPBv6214xwN\nXUNDI4qs27eCQad/HvQ6g2EIKSlXMnjwt0lO/hYGQ3LAazcWfx+p+S2vY2368/j2rL3odIG3utbQ\n0NDQOPfRFtIDjOxmPXrgKBXbNzA+qZmUwfEBnar99epGygW9vbCQVb9+hqLyRBzCIIaOzuRnP7+c\nnJwsr/KtzQfZ+N5WP6/yQBMo73BzDnZtsGuU/b1/wxcIDisxcYmMv2Q6t9+98Iz9FiSU3H77wC/5\n6JUvsNqMNElxnDdjHAtvuCbsMbi9sJD3nlxJWZ0Ruz7Ok3tT9ZE+e4UD+buD5Tnnjh/RalqMyeXv\ngj5RHU9zaQqOY8NpbUpn7h13hhSPJLl46eNhjIv33rY8JW0x55/3KoLKc8PB4lS2RaD2C3fsBGsz\neaz6us5zcmIoL+8K6TUo2p74SJavea01NDQigbaQHkBkN+uJ2pFUFhYyu70dq7SJxXG7+SAr1c+p\n2l+vbqRc0NsLC/nTHQ9RUjsDEzcDUG00ok/7F1MvHMJ55/0IgAN79rPz89VcIyWTqk8A3M8M3/nY\nwgFdTAfKe/KYRiqf+33IOQdrn2DXKPv7m08K0bcmAuXkiTYOJwwlq0DPL37zrQFfTIeS228f+CUf\n/uFrZjgvoZjhiAzniLCJ8TMmMaMgMeQxuL2wkHfveQhjzXBMwhwAtsTHYxp/gvGN7/NUS/he4UD+\nbt9xFijPOb+/DbvpGdpaj1O5bwy67WP4ZudoDjTu4ClhG+cnxWA0mUKOp6Skiudf38R5MxZzXoL3\nF+pyc59k2LAHgrZRoP4AVNsv3LETrM3ksWqx5FNcfNrjOh8xIpby8oPk519Paqr7m5qBXoOi7YmP\nZPmhzAENDQ2NUPi39Uifjchu1sqiIma3twNgEuaw3pqp6lTtr1c3Ui7ojatW0Vmf7llEAwy32Wg6\nPo9vvunRIOzfUUKO/UYqnD3qtIKOfNau9P6yWbQJlPc7z30UVs7Brg12jbK/ky16REYgMo8Kp53Z\n7e3U7086I+7yUHL76JUvuMp5MeUkIzIcgLHSHI7sKQprDG5ctYqceqNnEQi4c98dT269twIvVK9w\nIH+37zgLlOeWlzZyYN9LPPPgy5z43U00fnEhh0/EUCDNZodrOLaOjrDi+fzzMlIMP+DT/Utp6PI+\nV1b2ICdOfNjr/b31R8D2C3PsBGszeayWlzd5uc6Li4sxmW6joqLJc1+g/o+2Jz6S5ffVha+hoaER\nDtpCOsLIbladw1uPJvthfZ2q/fXqRsoFLVqt2KQ4v+OSCxxKZ3K3wcDp46p1dgX/1XYkCZS3K4D3\nOVDOwa4Ndo2yv10Km6TcPoLdfkbc5aHkpne4XX0uvJ19gsv9c6hxi1arx6Ptddzp9PMi+8YQiED+\nbt9xFswlr5yHcjY2Yrzc2qHEI/fz+fZHWLFvGG1e01vi0KHvYbEUqd4bLM5A7Rfu2AnWZnIOvv5x\np9PY/bf3cbW6o+2Jj2T5fXXha2hoaISDtpCOMLKb1SV6LzRlP6yvU7W/Xt3e7u/Ns+2Lw2TCKHT4\nHRd0ICqdyd2+W73g/UZBHzOwj9kEylsXwPscKOdg1wa7RtnfOnraRG4fyWA4I+7yUHJzdm9FrcPb\ncCHp3D+HGrfDZHJ7tH2P6/V+XmTfGAIRyN/tO856y9NgcHnNQzkbI11ebu1Q4pH7WcTEhI4X+fVB\nUKqzXa4O9u+/mq6uGtX7e4szUPuFO3aCtZmcg69/XK+3df/tfVyt7mh74iNZfjivfxoaGhp9RVtI\nRxjZzToyP58t8fEAWKVNzDfVqzpV++vVjZQLeu4ddxCb2YiV1z3HqoxGktO+ZOLEZs+x82eMo9zw\nDqP0PaaCDXFFLFrivUV0tAmU9413Xx1WzsGuDXaNsr+bzE4cVOHgS0bpDWyOjyfz/OYz4i4PJber\nb72Uf+q3kUMTDqoBOMImxk7JD2sMzr3jDsozbVilTZ5jm+PjyZzaTlmm96YsoXqFA/m7fcdZMJd8\n1gUtnnk40mBgg7CFGbpqjHFxYcWjHG9juYrW09/m2aPe19hsx9i/fyEOh8Xv/t7iDNh+YY6dYG0m\n55CTk+zlOs/Ly8NqfZlRo3qsJYH6P9qe+EiW31cXvoaGhkY4aF82jAKym/XI/qNU7djA2MRmBg8x\nB3Sq9terGykX9PbCQlYtf5bdpQnYdWaGjhnKzx52WzuU5Xc1HWTz37b6eZUHmkB5h5tzsGuDXaPs\n7/0bv0Bn7yImPplxl1zI7UvOrLUjWG6/feCXrHtlPV02E81SLONnjOfq/7km7DG4vbCQ955+nvIa\nEbs4yJN7U/WRPnuFA/m7w8mzpKSK1SvXUbJ5FwZHG2bTMTLi9aQlJoYdj3K8NemqeKzldm4ZaefG\nYd7XpaRcyaRJ/0Cn8/6tVG9xBmq/vlg7emszOQdf1/moUTFUVHSF9BoUbU98JMvXvNYaGhqRQLN2\naGhoaESYpZ8v5Ymtj/PrCTBniPe5zMy7GDPmuZC0eBoaGhoaZze9rTmDbJSrodHjGtY79DhFJ1ff\neim/fOq3qtdG2zGrRHbEHjpaw+EqHebENOJS4iLutQ43p4F01waLrT/no5VHJLzpb775FYcONSNJ\nOiZOTOZ735sesi5SWffg2AaqPn5fNUe1a79eu9bjes6ZcwGp2Wn87vBx0kwwPqGnnvr654mLG0N2\n9k89x/rbnj0O6JOUl58iJyed7Owk1T47dOAAbVVVJMfE4IiP55IlS7hl6dKAsThGjGPnF+UB/dPb\nCwt5Z/lyLKWlGHDvZjj+qqs48fXXfvmo5VlZc4K3n/sIi0XiZJdI3uzzmXHJhX32VYfalu7dJPdi\nsxkwGu0sXjw54I6bGhoaGn1B+0Rao1dk1/BVzp7/fP6p38a1P53mt5iOtmNWieyIHVlex58skymQ\nZmMVBESTic0JeyPmtQ43p4F01waLrT/nw3GQRzLmUO5/6qltHDyYhii6y3A4ypk4sZj778/vtQzf\numvLyij9bBmrpM2M6/7ipZxj8vCxftfu+3gZeR3NZHbXuyU+npNzP2fvhL+RYoQXpkB6jKJCSWDS\n+X8nNfXqfo+LHgf0aIqLSxHF+Tgc5eTlpWA2F3n1WdrRo+xrb+dZ3F+wFASB+2JiuOCRR7hl6VK/\nWN5pd/BU+xSuMFyKvvvLmUr/9PbCQt6+806GVlez1OX+0l+LILBMr+em+HhmxsR48klbtIjja9d6\n5fljfTy7LBcw0z6LYvtQREZQadjKtPkzGTPRFravOtSx+ckn21i+/CAm022KMl7mkUcmaItpDQ2N\nsNA80hp9RnYNK7nKeTHrXlnvd220HbNKZEfs2x0ZFEiz3XVJEk67PaJe63BzGkh3bbDY+nM+WnlE\nwpteW5vuWUQDiGIOtbVTgpbhW3dlUREFHfmst2Z6jsk5ql2b2jaPOlee59js9nb45CJSauI4bYOf\nH4B2pcxGkDh48LtYLHv63Z49DugyT+6imENFRZNfn23u7OTZ7vt0gCRJPGu1smXlSsB/jL7dkcFV\nzotx2tXd8BtXrSKzvt6ziAbQOZ08a7OxSaGSW9rYyJaVK/3yHN0QS3LbFModZkTcC+aR9lkc2LW9\nT77qUNtyzZq9Xotodxm3sWZNsV99GhoaGn1FW0hr9IrsGvZF5/B/KijajlklsiNWkoyq5yPltQ43\np4F01waLrT/no5VHJLzpLpf/tU6nELQM37plx7Sv61p2UPte60L086cbnC4mfjoCQYKKdlh+yFeL\n187+/QuJNTSjRqjt2eOA9o5Ldj8r+yw2wKcmMd0LZd++DTaHRKsV0adMeXbpfY7HKBbjMg7JiABe\nnnUAyaHzxO5LJMamzWZQvc5mU89XQ0NDoy9oC2mNXpFdw764RIffsWg7ZpXIjlhBsKmej5TXOtyc\nBtJdGyy2/pyPVh6R8KbrdP7X6vVS0DJ865Yd076ua9lB7XutDoefP92h15PSqOf23e6fd56G50q9\n67XZ6sm9rgiHyT++UNuzxwHtXYbsflb2WWeALzh2GdwLS9++DTaHHCYTDp8y5dnl9Dku16FEFGxI\n4OVZBxBElyd2XyIxNo1G/0W9+7h6vhoaGhp9QVtIa/SK7BpW8k/9NhbeOt/v2mg7ZpXIjtjvxjWw\nQdjirksQ0BsMEfVah5vTQLprg8XWn/PRyiMS3vTs7EYcjp4yHI5ysrP3BC3Dt+6R+flsiCtivqne\nc0zpoPa99uSgL8nS9TwWILuyEzK6SNugJ6n7A9G/18O7td51x6c1848HOpGEnjd44bRnjwM615O7\nw1HOqFHJfn12SWws93bfJz8jfa/RyOwlSwD/MfrduAb+qd+GXrEIVs6huXfcQX1mJit0Pf9duPR6\nfmo0MkexeH0sPZ3ZS5b4jZujGZ00DdpDjmjBQRUAFYatTLpwZp981aGOzcWLJ2O1vuxTxsssXpyH\nhoaGRqTQvmyoERTZNaxziLhEBwtvnd+rtSOajlklsiP2YEkVJVUCgxLTGTQ4LuJe63BzGkh3bbDY\n+nM+WnlEwpv+1ltfcfBgM+C2dtx0U+jWDmXdKTENVH/6YUAHte+1X7/7V1VX9tpHH2W7aS/bZ7cC\n7k8olk+EWane9VdtzuPkzuw+tWePA/ok5eUnycnJYNiwJNU+O7hvH+1VVSTFxOCMj2e2irVD2bf2\nYWP4+svygP7p7YWFrH30UVpLSzHitnaM+/a3Obl7t1/bqY2bypoTrF35ES2tEqesIpNnnc/MORf2\n2Vcd6th0WzuKsdmMGI02Fi/O075oqKGhETaaR1pDQ0MjyjhcDqaumsr+4/sBiNHB6gtjyY7peXZX\nrzczffohTKasMxWmhoaGhkaYaB7pCDCQfuRw6wvXT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Nb1lpRcwmMP/oz1/7gL7K4JpOVo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\nFduqq9loMPAooAsNZZe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"text": [ "" ] } ], "prompt_number": 22 }, { "cell_type": "markdown", "metadata": {}, "source": [ "For any collision, we expect more binary collisions to occur on average for smaller impact parameter. In this case we see a large spread in number of collisions and number of participants for similar impact parameter, a phenomenon that is regularly observed in the collision of ions of greatly different sizes. These inherent fluctuations signify that the orientation and geometry of the ions upon impact greatly influences the specific result of any given collision. For example, with impact parameter equal zero, the variation in $N_{part}$ and $N_{coll}$ is of order $\\pm$10/27 or 37.0%. The average quantities (green and yellow lines) still show the expected trend as a function of impact parameter. The wide variation in $N_{part}$ and $N_{coll}$ for any specific collision is also illustrated in the example collisions shown below.\n", "\n", "We contrast this to gold-gold collisions, where the variation is much narrower and the impact parameter is the primary determining factor for number of collisions observed. The specific geometry of a given nucleus has much less of an effect. The typical variation for zero impact parameter Au+Au collisions is $\\pm$90/1260 or 7.14%. Nevertheless, there is interesting physics in these fluctuations and has been the subject of vigorous experimental investigation.[1]\n", "\n", "We also observe near perfect correspondence between average number of participants and collisions. This is a consequence of strongly asymmetric collisions where one of the colliding ions has only a few nucleons. In this case, because there are only three helium nucleons that are usually spread far from one another, when a gold nucleon does interact, it can usually only interact with one He3 nucleon so that one collision only adds one participant (the gold nucleon since the helium nucleus can add at most 3 participants). As a result, the number of participants and collisions stays roughly the same. As we collide heavier ions, nucleons in opposing ions can interact with many other nucleons throughout the collision, so one participant can see many collisions, leading to a much larger number of collisions than the number of participants at small impact parameters." ] }, { "cell_type": "code", "collapsed": false, "input": [ "ShowCollision(N,Particle1,A1,Particle2,A2,Rp1,Rp2,Nucleus1,Nucleus2,b,Npart,Ncoll,Maxr)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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VQE4OO+bhwQK2/foBTz4pLdfszC4FjgOOH68wBidPVtzXqBFzeY0YUSGWRxCO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g+DTP9ve5cqXNGgCYVff552yMJWGb9LfTca7mHE7NO4Xesc4FuTSaE6is3ISG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"text": [ "" ] } ], "prompt_number": 7 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The figure above shows a He-3 and Au-197 collision with an impact parameter of 5 fm. Nucleon geometry plays a large role in determining the number of collisions. A relatively close impact might not generate many collisions if only two of the three helium nucleons pass through the core of the gold nucleus. We could detect many more collisions from a peripheral impact as long as all three helium nucleons happened to pass through the core of the gold nucleus. This would require the three nucleons in the helium nucleus to be given large radial distances and similar azimuthal coordinates. The helium-3 radial density is shown below, illustrating that the reason why the average trend is decreasing is due to the fact that it is extremely unlikely that all three nucleons will be given similar angular positions and even less likely that they are sampled from large radial distances. We would expect only a few such events in a simulation of thousands of collisions." ] }, { "cell_type": "code", "collapsed": false, "input": [ "PlotNuclei(Nucleus1,Nucleus2,Particle1,Particle2,model1,model2,Rp1,Rp2,Range,Bins)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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29u3wxhvmxiMiIuYp0sk1QMtyLQHVXYvIg3nnHfh7cjUmT4Zt28yNR0REzFHk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\nh5RNFuOPPfpnSYrbgQNGMT1v3pVjFSrAyy/D6NEajy1SGjQsRMqk1qG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0bdu2HD9+nAED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\nSUVORK5CYII=\n", "text": [ "" ] } ], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The distribution for helium-3 is sampled from the absolute value of the Fourier-Bessel model for its nuclear charge density.[2,7] While it makes no physical sense for the density to be negative, the Fourier-Bessel model does go briefly negative within the maximum cut-off radius. However, the probability to be sampled from these regions is negligible. Similarly to all the other models, the distribution is sampled with a factor of $4\\pi r^2$ and given random azimuthal and polar angles as described previously." ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Future Work" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Currently the code contains support for a few different radial density models including the two and three parameter Fermi and Gaussian models, as well as partial support for the Fourier-Bessel model. In the future, we'd like to be able to have support for all models to build nuclei of the full list of ions available.\n", "\n", "The program is also presently restricted to simulating nuclei according to a spherical shape. However, not all nuclei are spherical. For example, the Radon nucleus is pear shaped and Uranium is ellipsoidal. In order to provide support for these types of nuclei, the program would need to be modified to sample from non-uniform angular distributions and to keep track of the orientation of the entire nucleus upon collision. In addition, the definition of impact parameter would need to be modified since the non-spherical nucleus would have a center that varies with orientation.\n", "\n", "In the future, we also plan to convert the code into a compiled library to optimize the processing time." ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Conclusions" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The program provides an easy way for any user to accurately simulate collisions between many different types of heavy ions. Due to the sheer number of elements that can be simulated, there are possibly some collision combinations that have never been seen yet and interesting phenomena yet to be discovered. We hope that this program illuminates our understanding of nuclear collisions and proves to be useful in the future." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "References\n", "==" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "[1] Miller, M. L., Reygers, K., Sanders, S. J., Steinberg, P. *Glauber Modeling in High Energy Nuclear Collisions*, Ann. Rev. Nucl. Part. Sci. **57**, 205-243 (2007). [arXiv:nucl-ex/0701025](http://arxiv.org/abs/nucl-ex/0701025)\n", "\n", "[2] De Vries, H., De Jager, C. W., De Vries, C., *Nuclear Charge-Density-Distribution Parameters from Elastic Electron Scattering*, Atom. Data Nucl. Data Tabl. 36:495 (1987). [ScienceDirect](http://www.sciencedirect.com/science/article/pii/0092640X87900131)\n", "\n", "[3] J. Beringer *et al.* (Particle Data Group), *Proton Elastic and Total Cross Section Data*, Phys. Rev. **D86**, 010001 (2012).\n", "http://pdg.lbl.gov/2012/hadronic-xsections/\n", "\n", "[4] B. Abelev, *et al.* (ALICE collaboration), *Measurement of inelastic, single and double diffraction cross sections in proton-proton collisions at LHC with ALICE*, Eur. Phys. J. C 73:2456 (2013). [arXiv:hep-ex/1208.4968](http://arxiv.org/abs/1208.4968)\n", "\n", "[5] G. Antchev *et al.*, (The TOTEM Collaboration), *Measurement of proton-proton inelastic scattering cross-section at ${\\sqrt {s} = 7\\,{\\mathrm {TeV}}}$*, EPL 101 21003 (2013). [doi:10.1209/0295-5075/101/21003](http://iopscience.iop.org/0295-5075/101/2/21003/)\n", "\n", "[6] G. Antchev *et al.*, (The TOTEM Collaboration), *Luminosity-Independent Measurement of the Proton-Proton Total Cross Section at ${\\sqrt {s} = 8\\,{\\mathrm {TeV}}}$*, Phys. Rev. Lett. **111**, 012001 (2013). [APS](http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.111.012001)\n", "\n", "[7] Martensson-Pendrill, A.-M., Gustavsson, M. G. H. *The Atomic Nucleus*, from the *Handbook of Molecular Physics and Quantum Chemistry*, (ISBN 0 471 62374 1), John Wiley and Sons, Ltd, Chichester (2003) http://physics.gu.se/~f3aamp/tl.pdf " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Appendix\n", "==" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Code can be inspected using \"load magic\"" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%load GlauberModel.py " ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "import IPython.core.pylabtools as pyt\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from datetime import date\n", "from urllib2 import urlopen\n", "from scipy.optimize import curve_fit\n", "import time\n", "\n", "#Importing data from particle data group\n", "#Attempts to use data from current year\n", "#If that data is not available, drops down a year until data is found or defaults to 2013 data\n", "Y=date.today().year\n", "i=0\n", "while i<=Y-2013:\n", " try:\n", " TotalData = urlopen('http://pdg.lbl.gov/'+str(Y-i)+'/hadronic-xsections/rpp'+str(Y-i)+'-pp_total.dat')\n", " print \"Using \"+str(Y-i)+\" data for total cross section.\"\n", " DataFound1=True\n", " break\n", " except:\n", " print str(Y-i)+\" total cross section data is unavailable. The Particle Data Group website may not have the latest data or may have changed format.\"\n", " i+=1\n", " if i>Y-2013:\n", " print \"---\\nData not found. Please check your internet connection to http://pdg.lbl.gov/2013/html/computer_read.html\\n---\"\n", " DataFound1=False\n", "l=0\n", "while l<=Y-2013:\n", " try:\n", " ElasticData = urlopen('http://pdg.lbl.gov/'+str(Y-l)+'/hadronic-xsections/rpp'+str(Y-l)+'-pp_elastic.dat')\n", " print \"Using \"+str(Y-l)+\" data for elastic cross section.\"\n", " DataFound2=True\n", " break\n", " except:\n", " l+=1\n", " if l>Y-2013:\n", " print \"---\\nData not found. Please check your internet connection to http://pdg.lbl.gov/2013/html/computer_read.html\\n---\"\n", " DataFound2=False\n", "\n", "if DataFound1==True:\n", " data=np.loadtxt(TotalData,float,usecols=(0,1,2,3,4,5,6,7,8),skiprows=11)\n", " Point=data[:,0]\n", " Plab=data[:,1] #GeV/c\n", " Plab_min=data[:,2]\n", " Plab_max=data[:,3]\n", " Sig=data[:,4]\n", " StEr_H=data[:,5]\n", " StEr_L=data[:,6]\n", " SyEr_H=data[:,7]\n", " SyEr_L=data[:,8]\n", "if DataFound2==True:\n", " Edata=np.loadtxt(ElasticData,float,usecols=(0,1,2,3,4,5,6,7,8),skiprows=11)\n", " EPoint=Edata[:,0]\n", " EPlab=Edata[:,1] #GeV/c\n", " EPlab_min=Edata[:,2]\n", " EPlab_max=Edata[:,3]\n", " ESig=Edata[:,4]\n", " EStEr_H=Edata[:,5]\n", " EStEr_L=Edata[:,6]\n", " ESyEr_H=Edata[:,7]\n", " ESyEr_L=Edata[:,8]\n", "\n", "pyt.figsize(12,7)\n", "\n", "def Ecm(Plab):\n", " \"\"\"Converts Plab momenta to center of mass energy [GeV].\"\"\"\n", " E=(((Plab**2+.938**2)**(1/2.)+.938)**2-(Plab**2))**(1/2.)\n", " return E\n", "if DataFound1==True and DataFound2==True:\n", " #Automatically converts all P_lab momenta to corresponding center-of-mass energy [GeV]\n", " E_cm=Ecm(Plab)\n", " eE_cm=Ecm(EPlab)\n", " cm_min=Ecm(Plab_min)\n", " cm_max=Ecm(Plab_max)\n", " ecm_min=Ecm(EPlab_min)\n", " ecm_max=Ecm(EPlab_max)\n", "\n", "#Define best fit curve given by the particle data group\n", "def func(s,P,H,M,R1,R2,n1,n2):\n", " m=.93827 #Proton mass GeV/c^2\n", " sM=(2*m+M)**2 #Mass^2 (GeV/c^2)^2\n", " hbar=6.58211928*10**-25 #GeV*s\n", " c=2.99792458*10**8 #m/s\n", " sigma=H*(np.log(s**2/sM))**2+P+R1*(s**2/sM)**(-n1)-R2*(s**2/sM)**(-n2)\n", " return sigma\n", "\n", "#Apply best fit curve to the elastic cross-section data\n", "s=eE_cm[:]\n", "y=ESig[:]\n", "p0=[4.45,.0965,2.127,11,4,.55,.55]\n", "popt,pcov=curve_fit(func,s,y,p0)\n", "\n", "#Apply best fit curve to total cross-section data\n", "s2=E_cm[90:]\n", "y2=Sig[90:]\n", "p0=[34.49,.2704,2.127,12.98,7.38,.451,.549]\n", "popt2,pcov2=curve_fit(func,s2,y2,p0)\n", "\n", "def SigI(BE):\n", " \"\"\"Returns the proton-proton cross-sectional area [fm^2] for given beam energy [GeV]\"\"\"\n", " return .1*(func(BE,popt2[0],popt2[1],popt2[2],popt2[3],popt2[4],popt2[5],popt2[6])-func(BE,popt[0],popt[1],popt[2],popt[3],popt[4],popt[5],popt[6]))\n", "\n", "def DisplayData():\n", " \"\"\"Displays the Proton-Proton Cross Section Data.\"\"\"\n", " plt.loglog(E_cm,Sig,ls=' ',marker='.',markersize=3,color='black',label='PDG Data')\n", " plt.loglog(eE_cm,ESig,ls=' ',marker='.',markersize=3,color='black')\n", " plt.loglog(E_cm[90:],func(E_cm[90:],popt2[0],popt2[1],popt2[2],popt2[3],popt2[4],popt2[5],popt2[6]),color='blue')\n", " plt.loglog(E_cm,func(E_cm,popt[0],popt[1],popt[2],popt[3],popt[4],popt[5],popt[6]),color='blue',label='Fit')\n", " plt.scatter(7000,70.5,label='TOTEM EPL 101 21003',color='red')\n", " plt.scatter([2760,7000],[62.1,72.7],label='ALICE 2013 EPJ C73',color='blue')\n", " plt.scatter([7000,8000],[72.9,74.7],label='TOTEM 2013 PRL 111 012001 ',color='green')\n", " plt.errorbar([2760,7000,7000,7000,8000],[62.1,70.5,72.7,72.9,74.7],yerr=[5.9,3.4,6.2,1.5,1.7],fmt=' ',color='black')\n", " plt.loglog(E_cm[90:],10*SigI(E_cm[90:]))\n", " plt.errorbar(E_cm,Sig,xerr=[E_cm-cm_min,cm_max-E_cm],yerr=[StEr_L,StEr_H],ms=.5,mew=0,fmt=None,ecolor='black')\n", " plt.errorbar(eE_cm,ESig,xerr=[eE_cm-ecm_min,ecm_max-eE_cm],yerr=[EStEr_L,EStEr_H],ms=.5,mew=0,fmt=None,ecolor='black')\n", " plt.annotate(\"Total\",fontsize=11,xy=(7,46),xytext=(7,46))\n", " plt.annotate(\"Elastic\",fontsize=11,xy=(1000,10),xytext=(1000,10))\n", " plt.annotate(\"Inelastic\",fontsize=11,xy=(35,25),xytext=(35,25))\n", " plt.title(\"pp Cross Section Data\",fontsize=16)\n", " plt.ylabel(\"Cross Section [mb]\",fontsize=12)\n", " plt.xlabel(\"$\\sqrt{s}\\,[GeV]$\",fontsize=16)\n", " plt.ylim(1,400)\n", " plt.grid(which='minor',axis='y')\n", " plt.grid(which='major',axis='x')\n", " plt.legend(loc=4)\n", " plt.show()\n", "\n", "#Reads in parameters to calculate nuclear charge densities (NCD)\n", "parameters=np.loadtxt(\"WoodSaxonParameters.txt\",dtype='string',delimiter='\\t')\n", "FBdata=np.loadtxt(\"FourierBesselParameters.txt\",str,delimiter='\\t')\n", "pNucleus=parameters[:,0]\n", "pModel=parameters[:,1]\n", "pr2=parameters[:,2]\n", "pC_A=parameters[:,3]\n", "pZ_Alpha=parameters[:,4]\n", "pw=parameters[:,5]\n", "FBnucleus=FBdata[:,0]\n", "FBrms=FBdata[:,1]\n", "FBR=FBdata[:,2]\n", "FBa=np.zeros((len(FBnucleus)-1,17),float)\n", "for i in range(len(FBnucleus)-1):\n", " FBa[i,:]=FBdata[i+1,3:]\n", "FBa = FBa.astype(np.float)\n", "\n", "def NCD(Nucleus,Model,Range=2,Bins=100):\n", " \"\"\"Returns the Nuclear Charge Distribution for a given Nucleus with specified\n", " model. Creates radial distribution from 0 to Range*nuclear radius with n \n", " number of bins. If no values are set, defaults to 197Au using two-parameter\n", " Fermi model up to twice the nuclear radius with 100 bins.\"\"\"\n", " #For multiple models of the same nucleus takes the first set of parameters and notifies the user which parameters are used.\n", " j=[]\n", " for index in range(len(pNucleus)):\n", " if pNucleus[index]==Nucleus and pModel[index]==Model:\n", " j.append(index)\n", " i=index\n", " j=np.array(j,dtype=int)\n", " if len(j)>1:\n", " #print \"Multiple parameters detected for given model. Using primary values.\"\n", " i=j[0]\n", " r=np.linspace(0,Range*float(pr2[i]),Bins)\n", " if Model=='HO':\n", " return (1+float(pZ_Alpha[i])*(r/float(pC_A[i]))**2)*np.exp(-1*(r/float(pC_A[i]))**2)\n", " elif Model=='MHO':\n", " print \"Warning: Model not yet supported\\nPlease use a different model.\"\n", " return None\n", " elif Model=='Mi':\n", " print \"Warning: Model not yet supported\\nPlease use a different model.\"\n", " return None\n", " elif Model=='FB':\n", " #print \"Warning: Fourier-Bessel Model currently contains support for H-3, He-3, C-12, and O-16 only. If not these ions, please choose another model.\"\n", " for FBindex in range(len(FBnucleus)):\n", " if FBnucleus[FBindex]==Nucleus:\n", " iFB=FBindex\n", " r=np.linspace(0,float(FBR[iFB]),Bins)\n", " p=np.zeros(np.size(r),float)\n", " v=np.arange(0,17,1)\n", " for i in range(len(r)):\n", " p[i]=abs(sum(FBa[iFB-1,v]*np.sinc((v+1)*r[i]/float(FBR[iFB]))))\n", " return p\n", " elif Model=='SOG':\n", " print \"Warning: Model not yet supported\\nPlease use a different model.\"\n", " return None\n", " elif Model=='2pF':\n", " return 1/(1+np.exp((r-float(pC_A[i]))/float(pZ_Alpha[i])))\n", " elif Model=='3pF':\n", " return (1+float(pw[i])*r**2/float(pC_A[i])**2)/(1+np.exp((r-float(pC_A[i]))/float(pZ_Alpha[i])))\n", " elif Model=='3pG':\n", " return (1+float(pw[i])*r**2/float(pC_A[i])**2)/(1+np.exp((r**2-float(pC_A[i])**2)/float(pZ_Alpha[i])**2))\n", " elif Model=='UG':\n", " print \"Warning: Model not yet supported\\nPlease use a different model.\"\n", " return None\n", " else:\n", " print 'Error: Model not found\\nPlease check that the model was typed in correctly. (Case Sensitive)'\n", " return None\n", "\n", "def distribute1D(x,prob,N):\n", " \"\"\"Takes any numerical distribution probability, on \n", " the interval defined by the array x, and returns an \n", " array of N sampled values that are statistically the \n", " same as the input data.\"\"\"\n", " y=prob*4*np.pi*x**2\n", " A=np.cumsum(y)/(np.cumsum(y)[(len(x)-1)])\n", " z=np.random.random_sample(N)\n", " B=np.searchsorted(A,z)\n", " return x[B]\n", "\n", "def Collider(N,Particle1,A1,Particle2,A2,model1,model2,Energy,bRange=1.1,Range=2,Bins=100):\n", " \"\"\"\n", " Simulates N collisions between specified Elements (with number of nucleons A)\n", " and using Center of Mass Energy [GeV]. \n", " Returns the matrices corresponding to center-to-center seperation distance \n", " (Random value between 0 and bRange*(radius of nucleus1 + radius of nucleus2) [fm]), \n", " Nuclei 1 and 2, number of participating nucleons, and the number of binary \n", " collisions. Additionally returns the interaction distance of the nucleons \n", " given the choosen beam energy and the radii of both nuclei.\n", " \"\"\"\n", " #Set Rp1 and Rp2 equal to the radii of the nuclei choosen\n", " j1=[]\n", " j2=[]\n", " i1=\"Unassigned\"\n", " i2=\"Unassigned\"\n", " for index in range(len(pNucleus)):\n", " if pNucleus[index]==Particle1 and pModel[index]==model1:\n", " j1.append(index)\n", " i1=index\n", " if pNucleus[index]==Particle2 and pModel[index]==model2:\n", " j2.append(index)\n", " i2=index\n", " j1=np.array(j1,dtype=int)\n", " j2=np.array(j2,dtype=int)\n", " if len(j1)>1 or len(j2)>1:\n", " print \"Multiple parameters detected for specified model. Using primary values.\"\n", " i1=j1[0]\n", " i2=j2[0]\n", " if i1==\"Unassigned\" or i2==\"Unassigned\":\n", " print 'Error: Model not found\\nPlease check that the model was typed in correctly. (Case Sensitive)'\n", " return None,None,None,None,None,None,None,None\n", " if model1 != 'FB':\n", " Rp1=float(pr2[i1])\n", " else:\n", " for FBindex in range(len(FBnucleus)):\n", " if FBnucleus[FBindex]==Particle1:\n", " iFB=FBindex\n", " Rp1=float(FBR[iFB])\n", " if model2 != 'FB':\n", " Rp2=float(pr2[i2])\n", " else:\n", " for FBindex in range(len(FBnucleus)):\n", " if FBnucleus[FBindex]==Particle2:\n", " iFB=FBindex\n", " Rp2=float(FBR[iFB])\n", " b=(Rp1+Rp2)*bRange*np.random.random_sample(N) #Create array of random impact parameters\n", " if model1 != 'FB':\n", " r1=np.linspace(0,Range*Rp1,Bins) #Array of radial data used for plotting\n", " else:\n", " r1=np.linspace(0,Rp1,Bins)\n", " if model2 != 'FB':\n", " r2=np.linspace(0,Range*Rp2,Bins)\n", " else:\n", " r2=np.linspace(0,Rp2,Bins)\n", " Npart=np.zeros(N,float)\n", " Ncoll=np.zeros(N,float)\n", " Maxr=np.sqrt(SigI(Energy)/np.pi) #Radius within which two nucleons will interact\n", " #Runs N number of times; each run creates a new array containing the parameters of interest: Ncoll, Npart, etc.\n", " for L in range(N):\n", " Nucleus1=np.zeros((A1,7),float)\n", " Nucleus2=np.zeros((A2,7),float)\n", " #Gives each nucleon is own radial distance from the center of the nucleus\n", " #Sampled from the NCD function and distributed with a factor 4*pi*r^2*p(r)\n", " Nucleus1[:,0]=distribute1D(r1,NCD(Particle1,model1,Range,Bins),A1)[:]\n", " Nucleus2[:,0]=distribute1D(r2,NCD(Particle2,model2,Range,Bins),A2)[:]\n", " #Nucleons are then given random azimuthal distances such that no particular point is more likely to be populated than another\n", " #Cartesian coordinates (x,y,z) are determined from spherical coordinates and passed to the nuclei arrays\n", " for i in range(A1):\n", " Nucleus1[i,1]=np.arccos(2*np.random.random_sample(1)-1)\n", " Nucleus1[i,2]=2*np.pi*np.random.random_sample(1)\n", " Nucleus1[i,3]=Nucleus1[i,0]*np.sin(Nucleus1[i,1])*np.cos(Nucleus1[i,2])\n", " Nucleus1[i,4]=Nucleus1[i,0]*np.sin(Nucleus1[i,1])*np.sin(Nucleus1[i,2])\n", " Nucleus1[i,5]=Nucleus1[i,0]*np.cos(Nucleus1[i,1])\n", " for i in range(A2):\n", " Nucleus2[i,1]=np.arccos(2*np.random.random_sample(1)-1)\n", " Nucleus2[i,2]=2*np.pi*np.random.random_sample(1)\n", " Nucleus2[i,3]=Nucleus2[i,0]*np.sin(Nucleus2[i,1])*np.cos(Nucleus2[i,2])\n", " Nucleus2[i,4]=Nucleus2[i,0]*np.sin(Nucleus2[i,1])*np.sin(Nucleus2[i,2])\n", " Nucleus2[i,5]=Nucleus2[i,0]*np.cos(Nucleus2[i,1])\n", " for p1 in range(A1):\n", " for p1x in range(A1):\n", " FailSafe=0 #Prevents program from running indefinitely in some cases\n", " if p1x==p1:\n", " pass\n", " else:\n", " while np.sqrt((Nucleus1[p1,3]-Nucleus1[p1x,3])**2+(Nucleus1[p1,4]+Nucleus1[p1x,4])**2+(Nucleus1[p1,5]+Nucleus1[p1x,5])**2)10:\n", " Nucleus1[p1x,0]=distribute1D(r1,NCD(Particle1,model1,Range,Bins),A1)[p1x]\n", " for p2 in range(A2):\n", " for p2x in range(A2):\n", " FailSafe=0\n", " if p2x==p2:\n", " pass\n", " else:\n", " while np.sqrt((Nucleus2[p2,3]-Nucleus2[p2x,3])**2+(Nucleus2[p2,4]-Nucleus2[p2x,4])**2+(Nucleus2[p2,5]-Nucleus2[p2x,5])**2)10:\n", " Nucleus2[p2x,0]=distribute1D(r2,NCD(Particle2,model2,Range,Bins),A2)[p2x]\n", " for p1 in range(A1): #Loops through all nucleons in Nucleus 1\n", " count=0 #Arbitrary count variable used to determine whether a nucleon escaped the collision unwounded\n", " for p2 in range(A2): #Loops through all nucleons in Nucleus 2\n", " if np.sqrt((Nucleus1[p1,3]-Nucleus2[p2,3])**2+(b[L]+Nucleus2[p2,4]-Nucleus1[p1,4])**2) <= Maxr:\n", " Ncoll[L]+=1\n", " #If distance between nucleons is smaller than maxr, nucleons interact and 1 collision is counted.\n", " if np.sqrt((Nucleus1[p1,3]-Nucleus2[p2,3])**2+(b[L]+Nucleus2[p2,4]-Nucleus1[p1,4])**2) > Maxr:\n", " count+=1\n", " #If distance is greater than maxr, +1 is added to count\n", " if count==A2:\n", " #If count reaches the number of total nucleons in nucleus 2, we can infer that\n", " #the nucleon in nucleus 1 has not hit any other nucleons in the other nucleus. Therefore\n", " #this nucleon is flagged as an unwounded particle\n", " Nucleus1[p1,6]=1\n", " for p2 in range(A2):\n", " count=0\n", " for p1 in range(A1):\n", " if np.sqrt((Nucleus1[p1,3]-Nucleus2[p2,3])**2+(b[L]+Nucleus2[p2,4]-Nucleus1[p1,4])**2) > Maxr:\n", " count+=1\n", " if count==A1:\n", " Nucleus2[p2,6]=1\n", " #Number of participating particles is the total number of particles minus all the flagged unwounded particles\n", " Npart[L]=A1+A2-(sum(Nucleus1[:,6])+sum(Nucleus2[:,6]))\n", " if model1 == 'FB':\n", " Rp1=float(pr2[i1])\n", " if model2 == 'FB':\n", " Rp2=float(pr2[i2])\n", " return b,Nucleus1,Nucleus2,Npart,Ncoll,Maxr,Rp1,Rp2\n", "\n", "def PlotNuclei(Nucleus1,Nucleus2,Particle1,Particle2,model1,model2,Rp1,Rp2,Range,Bins):\n", " \"\"\"\n", " Plots the nuclear charge density for each nucleus and \n", " shows the root-mean-square radius.\n", " Blue corresponds to nucleus 1 and green to nucleus 2.\n", " \"\"\"\n", " r1=np.linspace(0,Range*Rp1,Bins)\n", " r2=np.linspace(0,Range*Rp2,Bins)\n", " if model1 != 'FB':\n", " Range1=Range\n", " else:\n", " for FBindex in range(len(FBnucleus)):\n", " if FBnucleus[FBindex]==Particle1:\n", " iFB=FBindex\n", " RpFB1=float(FBR[iFB])\n", " Range1=1\n", " r1=np.linspace(0,RpFB1,Bins)\n", " if model2 != 'FB':\n", " Range2=Range\n", " else:\n", " for FBindex in range(len(FBnucleus)):\n", " if FBnucleus[FBindex]==Particle2:\n", " iFB=FBindex\n", " RpFB2=float(FBR[iFB])\n", " Range2=1\n", " r2=np.linspace(0,RpFB2,Bins)\n", " d1=NCD(Particle1,model1,Range,Bins)/max(NCD(Particle1,model1,Range,Bins))\n", " d2=NCD(Particle2,model2,Range,Bins)/max(NCD(Particle2,model2,Range,Bins))\n", " rms1=r1[np.abs(r1-Rp1).argmin()]\n", " rms2=r2[np.abs(r2-Rp2).argmin()]\n", " plt.plot(r1,d1,color='blue',lw=2.5,label=str(Particle1)+\" Radial Density\")\n", " plt.plot(r2,d2,color='green',lw=2.5,label=str(Particle2)+\" Radial Density\")\n", " plt.plot([rms1,rms1],[0,d1[np.abs(r1-Rp1).argmin()]],'b--',lw=2,label=str(Particle1)+' rms radius')\n", " plt.plot([rms2,rms2],[0,d2[np.abs(r2-Rp2).argmin()]],'g--',lw=2,label=str(Particle2)+' rms radius')\n", " plt.xlabel(\"Radial Distance [fm]\",fontsize=14)\n", " plt.ylabel(\"Density\",fontsize=14)\n", " plt.legend()\n", " plt.show()\n", "\n", "def ShowCollision(N,Particle1,A1,Particle2,A2,Rp1,Rp2,Nucleus1,Nucleus2,b,Npart,Ncoll,Maxr):\n", " \"\"\"Plots a cross-sectional and horizontal view of the last collision.\"\"\"\n", " fig,ax=plt.subplots()\n", " N1=plt.Circle((Rp1,Rp1),Rp1,color='b',fill=False,lw=2)\n", " N2=plt.Circle((Rp1+b[N-1],Rp1),Rp2,color='g',fill=False,lw=2)\n", " fig.gca().add_artist(N1)\n", " fig.gca().add_artist(N2)\n", " for i in range(A1):\n", " if Nucleus1[i,6]==1:\n", " ax.plot(Rp1+Nucleus1[i,4],Rp1+Nucleus1[i,3],'b.',ms=26,alpha=.6,mew=0,mec='blue')\n", " if Nucleus1[i,6]==0:\n", " ax.plot(Rp1+Nucleus1[i,4],Rp1+Nucleus1[i,3],'r.',ms=26,alpha=.6,mew=0,mec='red')\n", " for i in range(A2):\n", " if Nucleus2[i,6]==1:\n", " ax.plot(b[N-1]+Rp1+Nucleus2[i,4],Rp1+Nucleus2[i,3],'g.',ms=26,alpha=.6,mew=0,mec='green')\n", " if Nucleus2[i,6]==0:\n", " ax.plot(b[N-1]+Rp1+Nucleus2[i,4],Rp1+Nucleus2[i,3],'y.',ms=26,alpha=.6,mew=0,mec='yellow')\n", " zed=1.5*(Rp1+Rp2)+b[N-1]\n", " ax.annotate('Npart='+str(Npart[N-1])+'\\nNcoll='+str(Ncoll[N-1]),xy=(1,0),xytext=(0,1.015*zed),fontsize=16)\n", " ax.annotate('Maxr: '+str(Maxr)[:5]+' fm',xy=(0,2*Rp1),xytext=(.01*zed,.95*zed),fontsize=12)\n", " ax.plot([(.01*zed),(.01*zed)+Maxr],[zed*.93,zed*.93],color='r',ls='-',lw=3)\n", " plt.xlim((0,zed))\n", " plt.ylim((0,zed))\n", " plt.xlabel('Horizontal Cross Section [fm]',fontsize=15)\n", " plt.ylabel('Vertical Position [fm]',fontsize=15)\n", " fig.set_size_inches(6,6)\n", " fig1,ax1=plt.subplots()\n", " N3=plt.Circle((Rp1,Rp1),Rp1,color='b',fill=False,lw=2)\n", " N4=plt.Circle(((Rp1+Rp2)*2,Rp1+b[N-1]),Rp2,color='g',fill=False,lw=2)\n", " for i in range(A1):\n", " if Nucleus1[i,6]==1:\n", " ax1.plot(Rp1+Nucleus1[i,5],Rp1+Nucleus1[i,4],'b.',ms=26,alpha=.6,mew=0,mec='blue')\n", " if Nucleus1[i,6]==0:\n", " ax1.plot(Rp1+Nucleus1[i,5],Rp1+Nucleus1[i,4],'r.',ms=26,alpha=.6,mew=0,mec='red')\n", " for i in range(A2):\n", " if Nucleus2[i,6]==1:\n", " ax1.plot(2*(Rp1+Rp2)+Nucleus2[i,5],b[N-1]+Rp1+Nucleus2[i,4],'g.',ms=26,alpha=.6,mew=0,mec='green')\n", " if Nucleus2[i,6]==0:\n", " ax1.plot(2*(Rp1+Rp2)+Nucleus2[i,5],b[N-1]+Rp1+Nucleus2[i,4],'y.',ms=26,alpha=.6,mew=0,mec='yellow')\n", " ax1.annotate(\"\",xy=(2*Rp1+Rp2,Rp1), xycoords='data',xytext=(2*Rp1,Rp1), textcoords='data',arrowprops=dict(arrowstyle='-|>',connectionstyle=\"arc\"))\n", " ax1.annotate(\"\",xy=(2*Rp1,b[N-1]+Rp1), xycoords='data',xytext=(2*(Rp1+Rp2)-Rp2, b[N-1]+Rp1), textcoords='data',arrowprops=dict(arrowstyle='-|>',connectionstyle=\"arc\"))\n", " fig1.gca().add_artist(N3)\n", " fig1.gca().add_artist(N4)\n", " zed=2.5*(Rp1+Rp2)\n", " plt.xlim((0,zed))\n", " plt.ylim((0,zed))\n", " plt.ylabel('Vertical Position [fm]',fontsize=15)\n", " plt.xlabel('Horizontal Position [fm]',fontsize=15)\n", " fig1.set_size_inches(6,6)\n", " plt.show()\n", "\n", "def PlotResults(b,Npart,Ncoll,Particle1,Particle2,N,Energy,bins=10):\n", " \"\"\"Plots number of collisions and participants as a function of impact parameter. \n", " Shows average trend over data using specified number of bins.\"\"\"\n", " xmin=0\n", " xmax=max(b)\n", " x=b\n", " y=Ncoll\n", " j = bins\n", " E = np.zeros(j)\n", " H = np.zeros(j)\n", " L = np.zeros(j)#,int64)\n", " newx = np.linspace(xmin,xmax,j)\n", " binwidth = (xmax-xmin)/float(j)\n", " #Shift by half a bin so the values plot at the right location? \n", " #If the bins are small enough or the function not too steep, this doesn't matter\n", " plotx = newx - 0.5*binwidth \n", " for i in range(len(x)):\n", " #find the array element in newx where the value from x belongs\n", " val = x[i]\n", " bin = newx.searchsorted(val)\n", " L[bin] += 1\n", " E[bin] += y[i]**2\n", " H[bin] += y[i]\n", " h = H/L\n", " spr = np.sqrt(E/L - h**2)\n", " err = spr/np.sqrt(L)\n", " y2=Npart\n", " E2 = np.zeros(j)\n", " H2 = np.zeros(j)\n", " L2 = np.zeros(j)#,int64)\n", " newx2 = np.linspace(xmin,xmax,j)\n", " binwidth2 = (xmax-xmin)/float(j)\n", " plotx2 = newx2 - 0.5*binwidth2\n", " for i in range(len(x)):\n", " val2 = x[i]\n", " bin = newx2.searchsorted(val2)\n", " L2[bin] += 1\n", " E2[bin] += y2[i]**2\n", " H2[bin] += y2[i]\n", " h2 = H2/L2\n", " spr2 = np.sqrt(E2/L2 - h2**2)\n", " err2 = spr2/np.sqrt(L2)\n", " plt.plot(x,y,\"ro\",alpha=.9,label='Ncoll')\n", " plt.plot(x,y2,\"bo\",alpha=.5,label='Npart')\n", " plt.plot(plotx2,h2,\"g-\",linewidth=4,label='Avg Npart')\n", " plt.plot(plotx,h,\"y-\",linewidth=4,label='Avg Ncoll')\n", " plt.xlim(0,max(x))\n", " plt.ylim(0,1.1*max(y))\n", " plt.legend()\n", " plt.ylabel('Npart / Ncoll', fontsize=18)\n", " plt.xlabel('Impact parameter [fm]', fontsize=18)\n", " plt.title(str(Particle1)+' + '+str(Particle2)+'. '+str(N)+' iterations. '+str(Energy)+' center-of-mass energy [GeV].', fontsize=18)\n", " plt.show()" ], "language": "python", "metadata": {}, "outputs": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---" ] } ], "metadata": {} } ] }