917 lines
180 KiB
Plaintext
917 lines
180 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"# Using LAMMPS with iPython and Jupyter"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"LAMMPS can be run interactively using iPython easily. This tutorial shows how to set this up."
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## Installation"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"1. Download the latest version of LAMMPS into a folder (we will calls this `$LAMMPS_DIR` from now on)\n",
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"2. Compile LAMMPS as a shared library and enable PNG support\n",
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" ```bash\n",
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" cd $LAMMPS_DIR/src\n",
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" make yes-molecule\n",
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" python2 Make.py -m mpi -png -a file\n",
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" make mode=shlib auto\n",
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" ```\n",
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"\n",
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"3. Create a python virtualenv\n",
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" ```bash\n",
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" virtualenv testing\n",
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" source testing/bin/activate\n",
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" ```\n",
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"\n",
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"4. Inside the virtualenv install the lammps package\n",
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" ```\n",
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" (testing) cd $LAMMPS_DIR/python\n",
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" (testing) python install.py\n",
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" (testing) cd # move to your working directory\n",
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" ```\n",
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"\n",
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"5. Install jupyter and ipython in the virtualenv\n",
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" ```bash\n",
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" (testing) pip install ipython jupyter\n",
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" ```\n",
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"\n",
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"6. Run jupyter notebook\n",
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" ```bash\n",
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" (testing) jupyter notebook\n",
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" ```"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## Example"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 1,
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"metadata": {
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"collapsed": false
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},
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"outputs": [],
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"source": [
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"from lammps import IPyLammps"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"metadata": {
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"collapsed": false
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},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"LAMMPS output is captured by PyLammps wrapper\n"
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]
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}
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],
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"source": [
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"L = IPyLammps()"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 3,
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"metadata": {
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"collapsed": false
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},
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"outputs": [],
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"source": [
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"# 2d circle of particles inside a box with LJ walls\n",
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"import math\n",
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"\n",
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"b = 0\n",
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"x = 50\n",
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"y = 20\n",
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"d = 20\n",
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"\n",
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"# careful not to slam into wall too hard\n",
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"\n",
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"v = 0.3\n",
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"w = 0.08\n",
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" \n",
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"L.units(\"lj\")\n",
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"L.dimension(2)\n",
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"L.atom_style(\"bond\")\n",
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"L.boundary(\"f f p\")\n",
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"\n",
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"L.lattice(\"hex\", 0.85)\n",
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"L.region(\"box\", \"block\", 0, x, 0, y, -0.5, 0.5)\n",
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"L.create_box(1, \"box\", \"bond/types\", 1, \"extra/bond/per/atom\", 6)\n",
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"L.region(\"circle\", \"sphere\", d/2.0+1.0, d/2.0/math.sqrt(3.0)+1, 0.0, d/2.0)\n",
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"L.create_atoms(1, \"region\", \"circle\")\n",
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"L.mass(1, 1.0)\n",
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"\n",
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"L.velocity(\"all create 0.5 87287 loop geom\")\n",
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"L.velocity(\"all set\", v, w, 0, \"sum yes\")\n",
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"\n",
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"L.pair_style(\"lj/cut\", 2.5)\n",
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"L.pair_coeff(1, 1, 10.0, 1.0, 2.5)\n",
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"\n",
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"L.bond_style(\"harmonic\")\n",
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"L.bond_coeff(1, 10.0, 1.2)\n",
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"\n",
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"L.create_bonds(\"all\", \"all\", 1, 1.0, 1.5)\n",
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"\n",
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"L.neighbor(0.3, \"bin\")\n",
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"L.neigh_modify(\"delay\", 0, \"every\", 1, \"check yes\")\n",
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"\n",
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"L.fix(1, \"all\", \"nve\")\n",
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"\n",
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"L.fix(2, \"all wall/lj93 xlo 0.0 1 1 2.5 xhi\", x, \"1 1 2.5\")\n",
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"L.fix(3, \"all wall/lj93 ylo 0.0 1 1 2.5 yhi\", y, \"1 1 2.5\")"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 4,
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"metadata": {
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"collapsed": false
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},
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"outputs": [
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{
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"data": {
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APKx1oqWF44/nhhvSBwzoZxhb43Gz9JbWRiRCnz4sWOAZN67I4fiypWUvLNca8HV1YRgs\nXGg/+eSBXu+6kpIS+IvWwOtaEwo5Fizg/PMLMjIGwG973gqkpwduuIFrr+3Vt2+RUifBSXKjIIR8\nB/CfKMvh4JxzuPZa4nE2blThsA8YZ/Xp/PjHzJvH8uWsWaOamlxad5ccI0Ywbx41Naxdq2pqHKlU\ngfXC/Lw8rr2W3Fy2bTP27bMlEjlWKdfv55JLOOss6uocW7canZ1pVunnNhvTpjF3Lq++yvr1qr3d\n2+NwTJzI/PmsX8+aNaq+3ql193sGBw3iuuvo6GDDBqOqypFK5Vmloqws5sxh+HD27rXt3m3r6sqy\nStluNxdcwGWX0dZmbNqkotGAVfrb2LGMH8/117NkCWvXqpYWd8+VjB3LvHmUlLBmjTp0yJlM9pMf\nESEkAP4TtWvNli288ALr1tVHIkd76lOpo+XKSl56iZ07O5qbj/bUd5caG3n9dRoaOHTIbJx3WdVw\nNOpfuhSnk/37DycSTeYnmEoBLclkxpdfUlvLli01nZ2N5gxBKoV53F27eOEF1q9v6W7h7z5cTQ0v\nv8z+/cmGhgatm839AMxqWxtvv004zIEDR5LJJrOFP5UCGuPx7E8/ZeNG9uwxhwmSVqktleqzcSPR\nKBs31nV0NJkzBN2HKy3lxRf5+utwa+s/r+TIEf78Zw4e5PDh+u5hAiHED9QPeQ7gz0od7/Pl+nyN\nkUhFNLpb69IeffrHulxFaWmhzs7KcLgkldoB1kwtw+324oyMRCJRHQqVJhKboM1q4S80jNHp6U7D\nqGlvL4vHt8IRmGj++QSODQbT3e7DZgs/VFt9+gZM9nr7BALNZgu/1nthrHW4cU7nwPT0aCxWFQ7v\nSya3QovVwj/EZhuekUEqdaC9vTSR+Bqa4XgA8pQal5bmcTgOtbeXxWLb4ZA1MeCFSX5/ltfbEA6X\nd3Ts1rq8x4lPcrsLgsH2jo6KSKQkldrV48RHORxD0tNjXV3VoVBpMrkJ2uFlmRgQ4ntA5gD+9/wD\n2iORjEgkBnVQATG4w6oujMV619enoB72QVeP0s8Sif0NDQa0QBmE4LBVnZNKHWxuNrstq6ARWq3S\nhdDY3h5ob49CLRyEqFU6A0LRaFY02gWHoQziPQ53Rzy+p76+ez+ATqiEZQDMTyYrGhvt0AoV0AqN\n1gsv0/pQa6sXwnAADkPIKp0PLeFwejjcCYegCjp7HO6ezs6czs6EdeKJHqVbu7r2NTQoaIIyiECt\n/NgJIX8C+k/08pw5nHba+ZdfnoIuUPArpdxav6A1Q4bw1lszx493QBTs8JTdPiyR+IXWR1yu3D17\npg0a5IMQOOHPPt/SSORjrTcrdcyXX/L7389assTsxF/aq9fyhoa/mf9GfuwxYrEL7rmnC1LwUVHR\nxqqqDnhPa6ZN42c/O++ss4AYGPCYYeSkUo9pTW4uq1bNGDbMbQ0TPO90vhuP36h1pc3Wf/durr56\n1oYN5kreCgY/bm//wDzchx+ydOmsF1/sBOCjvLyVdXVvmaXbbmPIkAvmzUtAApYNHry1rCyp9V+1\nZsIEnnzynClTbNABdnjcZuufTC7SOur3e7dvP2vQIK914i97PB90dMgPiRA/VD/YLqBGt5t77uHh\nh8+BANxqGB+NG1ecnn42bFGKV17hgQfmQRZcCkuLi/vl5U2BM5XK/dWveOONh2y2XJgC7/btm15Q\nMFap65Q6Zvp02tpqly8fCLnwTFoa+fnDHY5HlSIvj+nTefrpE8EBi5xOsrKKfb4LoMpm4/HHWbz4\nYkiHeUp9NHp0cVbW6eZC//QnHn3050plw7mwdODAvL59J8L5SvW/7Tb+8Y/dmzf3htHwek6Ot7Bw\nlGEsUIqJE8nKann77VHwOfzO56NPn2KX62mlOgMB5s/nscfOBC/8wm4nECgOBmfBXqV46SUWL74W\nMuFqWDpixMCcnBPhDKW8Tz7JH/94r2HkwGmwtLAwOz9/glKXSSOQED9UP7w5gJDDYbbwr4RNhjEf\ntNY3wpHMTD1mjPb5Qnb7Jjjg8dxunf4Ot1tPmKC93rjTuRt0Xt7v4TzQWn9mGHrcOO3xaLe7EvSx\nx/4VrgKt9Sughw6NOZ1mC/8nsEKp60BrvQg6+/TRw4Zpn6/FZlsDO61hgiuhOhjU48Zpny9qt2+F\npmBwEUwBrfVGs4Xf6004nftA9+//HFwMWusPlNKjRyfdbrOFX5966vtwDWitnwY9cKAeMEB7vfWG\n8XdYaxjzQGv9c2jNydEjR2qfr81m2wBlLtdN1omXeL16wgTt83U6HDuhMyvr1zAdtNZf2Gx6/Hjt\n8aRcrjL4i8wECCFzAN936en+G27gpz/Nys/vp9TuVOoQAE9qrUMhRo3ittv8w4b1s9m2dHTst17k\njsXIyOCuuxyTJvV3uVbW1ZXCEq2BD1IpEgnuuotp04qCwc2bNpXCK1oDV2lNe7vz9tu57LLeOTlF\nSpVovRWAxVrrtjZOOon589OLigoNY2ciUQbAq1oTiTBgAAsWeMaM6edwbGhv3wdrtAb8XV243dx9\nt+3EEwd4PGsqK0vhr1oD72hNR4excCHnnVeQnr5txYp98JLWwHytaW3lggu4+upeeXn9lNqTSpkb\nCz+mdaqtjYkTufnm4JAh/Wy2bbFYpXXijo4OcnO5807XsccWOZ2rm5r2wUdaA8FkEqW4+251+ukD\n/f6BcI/cCggh3wF8b61VasqPf8zcuZSVsXq1qq11JJNpwDHHALn5+VxzDYEAmzap0lJbMtnLKvUJ\nBLjkEk46iYoK+9atKhbrftUtdjtnncXVV5NMsm4d7e1eqwRw/PHMncvKlaxeTUODU+uNEyaYVffQ\nocydS1MTa9ao6mp7KtXHemFhTg5z5lBUxPbttj17DLOF/5hjgF5eL7Nmcf75HD5s37xZdXT4rdJd\nhsFpp3Httbz5Jl9+qVpb3Vp/s5Lx45k7l61bWbVK1dU5te5+z4yiIq69FmD9elVebksmc7tXkpHB\n5ZczYQIlJbbt2414PMMqZTqdzJzJnDmEw2zYYE5RTFdqmTQFCSEB8D0UAo4c4dVXqaujrq4+lWoy\nO9ljMaAzHHYvWQJQVnY4kWg0e+pjMaApkfCtWEFpKdu21XTvBxCLAW1as3Urzz3H2rUN4XAjNFsl\ngKoqXnyRvXtjjY3mU/i/KYVCvP46LS0cPGiupPtwLZ2dGUuX4vNRUnKoez8As5RM9lqzhoYGNm2q\n6eg4uv1ALIZ53D17eO45Nm1qbWszJwa+OVxtLS+/TGWlrq+v17rniafa24233yYep6rKnF3oXklD\nV1fep5+ydSs7d9bG400Q73nimzbR1cW6dYejUXMlAfmJEeIH5Ac1B/A7pSbb7UPS0+NmC38yuRna\nrcb5AYYxKi3Nbrbwd3VtgQarcb4XTAgGgy7X4VCovLNzBxy0+vQdMNnr7e33N0ciFdHoHq33wWjr\niMc6nf3T0iKxWFU4XJJKbYeRVmm4zVacnp5KpQ6EQvutYQLzof+FSo1OS3Pb7bXt7eXx+DY4bE0M\npMHEQCDD7a4Phys6O3dpXWn16RtwvMeTHwi0RqOVkcherffAKOtw4xyOQenpnfF4VThcmkxu6bH9\nwBDDGJ6ebsDBUMjcD6DZ2u0gT6lxwaDP4agLhcpjse1Qa00MeGCSz5fj9TZGIhUdHbu1LoNqWCp3\nAEL8/0HmAP5f3Kb1A0rta2w0rE72KByC2wC4PpWqbmlxWS385nysWboSjrS3ByACNXAIIlbpXAhF\no5nRaBwOW8MEt1lHvDce79PQkIIG6wH93aVbk8mypiZzP4AKaId6q3qN1jWtrW4IwQFogDardCk0\nhUJpoVCHNUzQYZVOhVBHR6+Oji44AmXQ1eNwC7u69jY0AE3WMMEBeBeAG1OpyuZmB7RCJbRCk/XC\nOVrXtbX5IAwH4TCErdJsaItE0q0piirolN/+QsifgL63In7/fWVlZw4aZI5HOeE1r/fDaPRTrXcr\nNWLzZu6554Lly812+w+zspY3NZnf9PLCC1RUnP/II3HQsKxfv/XV1RH4UGsuvphZs86ZPRtrmOA3\nhpGZSv1Ba4qKWLp0+ujRTqun/jmnc2w8fovWNQ5H/t69zJ59wbZtZk/9m4HAslDoI63XKTV5xQpe\neOH8N9/sABt8lJv79yNH3jFX8sADeL3nLViQgBQsGzjw64qKuNbvaM3JJ3PPPTNPO82AGNjgcZut\nIJl8SGuysli/ftrQoR6IgAP+5Ha/39m5Uusywxi0cyfz5l3w5ZfmSpakp3/S2vq+ebh33uGLL85/\n5pkYKPgoP//Lmppm+Exr5s1j4sRzr7kmBQn4uLh4x759P1HqRckAIX4oflBdQL4nnuC55xYbRm84\nGT4oKMgsKBin1NVKjbj0UsrLK1euLIAieD493SgoGG63P6wUAwZw3HFdL710PBjwoMtFdnax13sB\n1DqdPPQQDz44G9LgRsNYNmbMsMzMqbDeHCZ46KGbIQdmwUeDB/fNy5sE5yiVv3gxS5Zs27kzD8bD\nW717+wsLRxvGLUpNPuUUksnDS5cWgwf+4PfTt+8wp/MPSpGdzcUX88QTp4Eb7rLbSU8v9vtnQ7lh\n8PTTLFp0JWTCT5T6aOTIQb16nWye+fPP8/vfL1QqF6bBR0VFOfn5E5S6UKlB8+ezYUPJhg19YBi8\nkpXlLCwcYbPdpxSjR1NYGHrjjQnQBY94POTmFrvds6HN6+X223nkkZkQgJ8bBh6POUUhhPjh+E+Z\nA2i02bTfH7Lbv4L7vr3sSqW0zxd3OndBLDv71zADtNYrzE52r1e73RWgR416Da4ArfVfQA8blnC7\ntdd7SKllsBx+Clrrh6ArP18PHap9vmabbTVssdnMYYKfQE16uh47Vvv9Ubt9Cxzy+e60FrPZ6TR7\n6hMuVwno/PwnYRZorT9SSo8Zoz0e7fFUK6UnT34b5oDW+jnQgwfHnE7t8x0xjM/gC2s/gDsglJur\nR4zQfn+bzbYe9jgc5n4AM2C/36/Hj9d+f6fDsQNa09MfgFNBa/2l3W4OE6Rcrv2gBw9+ES4BrfU7\nSumRI1Nut/Z4apT6AJbCtaC1/i3ooiI9aJD2+cwpig3WMMFNUJ+VpUeP1n5/2G7fBPd/+xKUW5dg\nNzwjEwNCyBzAd/nth9udNWcOt97qHzq00GYbA+dYPekVhlF01lncfbdj4sQil+vLxsYy60/VGWYn\n+733MnVqf7//q50798NrWgOXaU04bLvzTi65JC87uwhK4Xmtgbu1NtrbmTaN+fMzCgsLDWN3Mmm2\n8L+gtQqHGT6cBQs8o0YV2u1fRyLdwwT+eJy0NO691/ajH/V3u1fX1JSZzfvmSEFXF/fcw8yZhcHg\nlnXr9lsPWZtrDhMsWMBVV+Xk5vZTqkTrfQD8WmvV3s4JJ/CznwUHDSo0jJ1dXWYL/1KtHdEo/fqx\ncKFr/Ph+DseG1tYy+LvWQHoigdPJffepU08d6POt27+/DN7QGnhGa6JRddddzJ7dNzOzP5SC+Ved\n27SmrY3zzjOnKAqV2ptK7QXgCa1VKMT48fz8575hwwptttFwrnUJygxjwNSp3HOPOUUxFObJxIAQ\n8h3AdyWzXz/mzMFmY906tX+/LZnMASZOBPLT07nkEiZOZO9e27ZtR1v4J04E0p1OZszgiisIhVi3\njnDYa5UAfvQjrr6a5cv54gsaG51ad5eMYcO45hpqavjiC3Xw4NEW/okTgT55eVx1FTk5bNpk7N1r\nJBLZVinX72fWLKZNo7LSvnkznZ0Bq3SHzcbUqVx1Fa+9xpdf0t7u6XE4jj2Wa65h/XpWruTIEafW\nfa0X+gYN4uqriUb58ksqKmypVK5V6pedzeWXM2wY27cbO3caXV0ZVinT7ebcc7nkEurr1YYNKhLx\nWaV/HHsso0dz9dUsWcKqVTQ3u3quZMwYrrmGkhK++ELV1trN/QAmTgSyCwqYMwePh/XrVWmpYU5R\nTJwI9E1L4+KL+dGP2LfP1j1FIYSQAPjXvaXU+b17O956i64uKirMTnYHEIkADfF43+XL2bqV7dtr\nYrFGiFmltlSKjRvp6mLNmsORyNGe+kjk6Pvu389zz7FrV6Spqd7sqe8udXby6qs0NFBbaz6F32VV\n26PR4Lvv4i/BU70AACAASURBVHSyb19dV1ej+QlGIkBTIpG+ciVVVXz99cHu/QAiEaBVa7Zt45ln\n+Oqrpvb2xn86XHU1L7xAWVlXzxZ+s9rWxuuvE4lQXf3NfgCRCFDf2ZmzdClffsmuXYfi8UZzP4BI\nBGhJpfqsXUtLCxs21EajR2cXug+3Zw/PPsu2be0tLQ3/tJK2Nl5+mZoa6uqOdM8uRCJAZyjkfvtt\ntDanKHqWGuLxws8+Y9cuc4qiEaIwTalP5OtiIb7f/jPmAP5hsw1PSzOgJhwuszrZJwCQp9TYQCDg\ncNSFwxVWJ7vZOO+BSV5vjtfbFI1WWp3s3X36k1yuwkAgHItVRSL7UqmdMNwqjbLbh6SlJZPJA9Zj\n8UPWQ//7KzUqLc1pGLWhUFlX11ZosBrns+CYQCDN5TJb+M39AMyJAQcc7/Hk+f0t0WiVNUwwwjrc\nMQ5H/7S0jni8Ohzel0ptg1aYDMAwm604LQ2tD4ZCZYnEZmi1ZhfylRoTDHrt9kOhUHk8vh3qrNmF\nABzn82V5PA2RSGVn5y6tK3pMDEx2uwv8/vbOzspotCSV2t1jJWPt9kFpafFE4kA4XJpMfg1tMAmA\nQYYxIi3NrlRNKGROUTRZswu5MD4YDDidh0OhiljMnKJ4Vn77C/Gd+p87B/BJKlXZ0uKEth6d7Neb\nj8FRqq693QcROAhHIGSVrlCqLRrNiEbNTvZq6LRKwK+VyovFklYLf6JH6T6lSpuabNAM5RCBOqt6\ns1IHWlvN/QCqwdxlzCzNVaohFAqEQh09hgnM0iyl2js6sjs64nAEKiDe43C/VCq/sbF7P4A47LO+\nq1ioVHlzc/d+AO3QYL3wRqVq29q69wOo73Hi1yjVHImkRyLmfgDmMEH34R5TKqezM9ljmKC7dL9S\nJU1NCpphP5gnYlZvV6qqpcUFbVAFLdBsleYpdbi93Q/RHsMEQoj/AN//LqBSpfSuXfqEE86FU2E6\ndGVmfti98jff1DfeeA6cCWeBLihYA9PM6nXX6ZdfPhtmmP/NsGE7rQYbPXy43rRpGsyEqTAdDjgc\nvwGtdZPbrcvKdHHxuXAaTIc2v/910FpvBb1+vZ4581w43TxcTs6n3Sv5wx/0okUzYZp5uAEDvoLz\nzerMmfqDD2bA2dY69xnGHWapTx+9e/dUOAfOgOlQ53I9DVrrKptN79unjzmm+8Q70tLe7T7cxx/r\nq646B6aaK+nT5ws4wazeead+4omZMN1cyZAhW5Uy25/0pEl61aqzrBM/Cyrs9gdBax0PBvX+/afD\nOXA6TIcmr/dl0FrvBb19uz7llO7PJJmV9VH3Sl57Td966zeXoF+/dVYjlhBCuoD+JYPnzWPjxn0b\nNuRDMbyUmWkvKBhhsz2gFKNG0b9/+PXXj4UUPOx2k5NT7PHMglavlwULeOSRcyEItxgGLldxRsZ0\n2KEUL7/M/fffADlwMXw0dGhBXt5kmK5U5mOP8corm0pL+8Ak+FufPsGCgjGGcYNSY887j8OHD3z+\n+UDIgaeDQfLzhzkcv1WKggJOPVX/8Y8ngQsWORxkZAz1+2fBAbudxx7jgQcuhUy4Xqllo0YNyc4+\nzTy9l1/mkUcWKJULZ8NHAwb07tv3WJilVL877+STT3Zu29YXxsCfe/VyFxaOtNkWKsWUKXi9jUuW\njIblWj/m9ZKXV+xyXQzJ9HSuuYbf/W4a+M3vn/3+4mDwPNinFM8/z+LFP4FsuAqWDR/ePzf3x3Cy\nUo5nnuGppxYplQenwIfWFMUcpYqvuYYdO/avWZMPA60pihF2+y+VoriYESM6Xn11EhjwkMtFdvZQ\nr3eW/NtKCLkD+P9sF2ifT7vd5aCHDHkRLgWt9Zughw/XHo/Zwv8RLIWfgNb615AqLNRDhmi/v9lm\nWwUbrU72eVCXkaHHjNGBQMRu/xqq3O5brdPf6nLpCRO0359wufZCMjf3t3AOaK2XG4YeO1Z7vdrj\nqVJKjxv3OlwJWuuXQA8ZknC7zRb+T+FzpeaC1vpuiObl6eHDzRb+dbDd2g/gYqgIBPT48ToQ6HQ4\ntkO933+PtZL15n4Afn/K7d4Pul+/Z+BC0FovUUqPGqW9Xu311ij1Prxr7QfwBOj+/WMul/b7Gw3j\nH/Clda9zKzRlZ+tRo3QgELbbv4J9TueN1uF2ezzm4bqczt0Qycx8GM4ErfU/zCkKn+/oFMWwYS/D\nZaC1fh30sGEpj0f7fHVKLYNl1iX4JSQKCvTQodrvb7HZVsNNcisghNwB/G/ZqdSI449n8WJOP32A\nz7ehtLQCXtcauEhrOju55x4uuigvK6sflMELWgN3mO3q557L9ddnFBSYneylADyjtS0SYfx4Fizw\njhhRYLdv6+zsfiy+Px4nJ4f77rNNnlzkdq86cqQCzIclZKZSAIsXM2NGv0Bg89at5eYz/eEarYlE\nbHfeyZVX5uTkFCpVqvVzWgMPaW0PhTj9dH72s+CAAQWGsTuRqADgr1rbo1GGDmXhQtfYsYUOx+Zw\nuMJaSVpXF34/ixapk07q7/Wuqa6uAHOjx7+awwT33sv55/dNTy+Ccms/gJu0Jhx23n47116b1adP\ngVL7tC4B4Hda28JhJk/mttt8Q4cW2Gw74/ED1uE8sRj5+dx7r33ixH5O57rm5gowu3cyk0nsdhYv\n5swz+/v9G/fuLYe/aA1cqjUdHeruu7nkkt7Z2T0vwV1a29rbOfts5s9PLywsNIxj4QwZCxDie+l7\n+iVwhsvF2Wdz0UUcOcK6dUQiXmDSpKPlE07giiv44ANWrtRNTU6tvymNHMmcOezfz4oV+uBBezKZ\nb72wV34+V1yB38/ataqkxEgkelmlvGCQWbM48URKSozNm5XZwj9pEpBht3PmmVx6KdEoq1fT3u7u\nuZJJk7jqKlau5O9/p76+50ocQ4Zw1VU0NbFyJZWV9lQqz3phQW4ul15Kv35s2qR27VJmC/+kSUC2\n18t553HuuRw4YNuwQUWjPqt0v2FwyilcfjlvvskXX+jWVlfPEx83jquuYutWVqzg0CG71oXWC9OK\nirjySrRm9epvpigmTcLcD+Ciixg/nh071NatKh5Ps0pHpyguvtjc0uDoFEX34X70I664gmXLWLHi\n6BRFd2nECObMoaqKFSs4cMAOfeXnTAgJgP91LalU/tq1tLaydm1tJNJgdrK3tR0t793LM8+wfbvZ\nyd7Us5RI8OKL1NVx6NCR7v0A2tqAaHu79623UIr9++sSiUZzmKCtDWjo6vJ99hm7d7Nli9nJHrFK\nreZj8Z98kg0b6kOhf15JZyfPPktpaUdjo/nQ/29K0SivvkprKwcOHE6leh6uKRrNWrIEn489ew51\ndTWa/3uzlEz2+uILamvZsOFAR0eDObtgloAdO3j6ab7+urmt7Z9PvK2N55+nujpx5Ig5TOC0qonW\nVvvrrxOPU1HxTyd+OBbru2wZX33F9u218XijuR+AeeKpVL9164hEWLOm7r9egpISnnmGXbtCzc31\n/7SSeJyXXqK+ntrab4YJhBDfP9/TOYA/KzXR6832eJqi0YrOzt1aV/RoV5/schX4/aFYrCoSKdF6\nNwyzSmPt9kHBYFcicSAS2W91spst/IMMY0QwaFeqNhwutzrZzcb5XBgXCASdziPhcEUsthMOWo3z\nLjje48n1+Vqi0cqOjj1a7+8xMTDR6SwKBKLxeHUksi+V2gHFVmmkzTYkGNSp1MFweL+1M4E5u9BP\nqdHBoNtmOxQKlXd1bYMj1uxCBhzr82W43Q2RSEVn5y6otk7cDse73X38/raOjqpodK/WJT1OfILD\nMSAYjHV1VYfDpanU1h7bDww1jOHBoILacLgskfgaWqzZhT5KjfX7/Q7H4XC4e5jAPHEfHOf19vJ4\nmqLRys7O3VqX97gExzudBYFAOBarjkZLUqldPVYyxm4fHAwmkskDPU78ZRkLEOJf8z9oDuDv0BKN\npkejnVAHB6DT3PkWgF8r1TsWS0I97IdEj9IipUqamw1ohjKrk93cwvdWpapbW3t2srdYL7xOqSOh\nkNnJXgN1ELFKFynV3tGR1dERtx6LH+9xuIeV6tPUpKEB9kGyR+kupfa3tNihxRomOGxVb1Cqpq3N\nAyFrmKDNKl2rVGMkkhaJdMAhqIEOq7RBqU87O3t1dibgCJRDV4/DPaBUQVOTeaOwH2JQaX1XsUCp\nytZWhzVF0QZN1gvnKVUXCplTFN3DBPOtKYpWa4riEByAWI/DPaJU76am1H93Ce5Vap91CcohCrXy\nsyvE99P3tAvoF7/QTz5ptrGfCXro0O1KmR0veuJEvXr1mTDD6mSvstt/BVrrWCCg9+/XAwacDafB\nWdDi873W3cm+bZs+9dSZcIrZrp6d/Un36b/yir7ttrNhqtk4X1S0weoC0ldeqd944yw4y1zJiBF7\nDeNo+9CgQXrr1jPgbDgDzoJap/MJ0FrXOZ26rEyPHDkTToWzIBwMvg1a642gV6/Ws2bNtBape/de\n0b2SRx7RDz88A840VzJo0NdKmV1A+owz9PLl02C6tc4ym22RWerVS5eUnAZnWwMKDR7PC6C1LjcM\nvXevPv747hOPZ2R8M0Xx3nv6pz811z8NdEHBl1YXkL75Zv3cc9O7T3zYsJ1KXWeWxo7V69ZNhRnW\niVc7HI+C1jrk8+myMj14cPfZtfp8f5FGICGkC+h/USItjZ/8hN/97mwIwu02G15vcXr6TLOT/YUX\nWLz4OsiBy2BZcXG/3r2nwFSlnM88w9NPr62szIcT4P38/PSCgrFK/VSp4jlz2LWrbM2aQiiCP6al\nUVAwzOH4tVIMHcro0Z2vvjoFbPCA00lW1lCfbxbUu1zcdx+//OVFkAk3KIXdXpyVdQZ8be4H8OCD\nt0JvOB+WDRrUp2/fiXCeUr1/+Uv++tcte/fmw3j4a26ur7BwlGHcrtTEM88kHK79+ONh8LnWj/t8\n5n4ATylF796ccw5PPXU6+GCh3U4wWBwIzIZKm40//IHFi+dAL7gGPh4xYmBOzonmR/bSS/zmN3cr\n1QemwrJ+/bLz8ycodYlSA265hS++2LN5cyEMg5czMx2FhSNstvuV4phjyMlpffvtYyAOj/SYoogG\nAtx0E48+eg6kwa2GgdttTlHsUYo//YnFi+dDLlwCy4YOLezd25yi8P/hDzz//Iby8r5wPCzp0yet\nsHCMUvOlEUgIuQP4fxZ3uXQg0GyzfdGjk/2bh9EHgxG7fTOU9uhk3+F26wkTdCCQcLn2QCQz81fW\nJPDnhqHHjdN+/9EW/uHDX7E62V8FXVysPR7t9x82jE/gY2s/gMUQ69tXFxfrQKDVZlsDm639AOZA\ndTCox43TwWCnw7ENDnq9C6yVfGXuBxAIaLe7FHRe3uPWJPCHSunRo7XPp73eg0otgTfhKtBaPwN6\n4MCk2639/gbD+Dv8w/qH9u3QmpOjR47UwWDIbt8Iu6xhAq31Pp9PT5igg8Eup3MXNAeDi61J4FV2\nu7lVgPZ4ykEPGPAcXNw9RTFihPZ6tc9nTlG8b+0H8CjowsKYdQlWwTprimI+HDanKILBqMPxNZS7\nXD+zVrLNugRJl2svxLKzH7UmgY9OUfj92uutVuptuRUQQu4A/ns5OY477mDu3Iy+fQuU2m91sj+h\ntTMSYcoUFizwDhuWb7PtiscPWi/yx+MUFLBokW3SpH4u1/rm5ir4WGugVyqFw8EDD3DWWf38/q/2\n7Km0OtmvNIcJ7r2Xyy7Lzc4uhDJrP4BFWjvDYWbO5MYb04qKCgyjJJk0+/Rf1trZ0cGYMSxc6Bo9\nusBu3xaNVlkrSevqIiuL++/nhBOKPJ7VdXVV8K7WQLb59/H77+fcc/PT0oqgwvpmYp7WRKPGwoVc\nc012Xl6hUvu1Nvv0f2Oe+CmncOut/sGD8222PYlEtXU4d2cngwZxzz32Y44pcDq/am+vglVaA1mJ\nBD4fDzzAaacN8PnWV1RUmWME5hRFPM6iReYURSFUWPsBLNCaSMR5++1cf31Gfn6BUqXWFMXT5vYD\nxx3HHXd4hg8vsNt3xGLdwwSBWIw+fVi82Jg8uZ/bvbaxscrakqFXKoXdzv33M316YSBQBA/IrYAQ\n3xvfly+BNyp13Gmncfnl7NjBZ5/p2lpbMlkITJkCpBUWcumlGAYrV2KzHX0Y/ZQpmPsBzJrFscey\nbZv6+mtisUD3q5xOpk1j9mwaGli9mlDIbZUAJk/m0ktZvpzPP9cNDU6tvykNG8bll3PwIJ9/rqur\nbWYL/5QpQO+8PC6+mF69WLOG3btVIpFplXJ8Ps47j6lT2bfP2LiRjg6fVcq02Tj1VC66iFiMlSt1\nW5ur5+EmTOCyy1i/ns8+00rZtc62XugZMIDLLycSYcUKDMNIJnOtUmFWFhdeSHExmzapbduOtvBP\nmQJkuN3MmMEFF1BTw9q1RCKenid+wglccglLlvD3v2ulvnXio0Zx+eXs3ctnn+maGps5RWGeQkEB\nl16K282qVXRPUUyZAuSlpXHBBUyezI4dxubNdHb6uy+Bw8HUqVx4Ia2trFplTlGcq9T70hQkhARA\nt1bgwAH++EdqapKHD3/Twt/UBMRaW11/+QuJBOXldYlEg9nJ3tQEHI7FCj76iK++6n4YfcwqtaRS\nRWYn+/r1deFwvdlK39R09JCdnTz9NHv2hLs72btLsRgvvkhjIzU1R5LJRrOTvakJaA2H099+29wP\n4FD3fgBNTUBDIpH+2WeUlvLVV2YLf8gqNWvN11/zxBNs3tzQ3n70Kfzdh2tr49lnqaiI1dcf6W7h\nb2oCdCikXnmFSISqqsPJZGPPE+/o6P3ee6Sns3Nnbfd+AObhksk+q1ZRX8/atTXR6NEW/u7D7drF\nk0+yY0dra2vDP514Mslzz3HoUKqu7kgq1fPEo21t3jfeIJX61hRFUxNQH4/3+/hjtm5l69aDnZ0N\n0NHjErBhA/E4GzYcDocboAm88mMnxPfD92UO4HdKHW+3DwgG411dByKR7k5289n3xYYxPBAwlDI7\n2bdAi/Wo/b4wNhDwOxxHwuGKeHwHHLL69H0wyePp5fU2R6NVVid7d5/+ZKez0O8Px+PV0ei+VGoX\nDLFKY202s5O9JhLp7mQ3n30/SKkRgYDTZqsLh8ut/QDMxvkcmODzpblc9ZFIpTVMYHbHu2GS293b\n52vr6Kjq6NijdSkMtQ430eHoHwh0WCe+HVqs2YURhlEcDKJ1TSRi7gfQZs0u9FNqtN/vtdvrIpGK\neNwcJjD79NNhoteb6XabLfy7oKrHif/Y5err94c6O6uj0b1a7+1x4uPt9kGBQDyZPBiJlCaTW3rM\nLgw1jOGBgL3HJWi2LkEfGOv3B5zOeusS1FqXwAuTPJ4cr7elxyU4CB/IHYAQ/5t+yHMAt2m9SKl+\nzc1As/VY/CbzKTdwm1KVbW3d+wG09yhdp1RdKOS39gMwO9nN0iVKtXV0ZFgt/OYwwU09WvjzmptT\n0GB1sneX7lZqX0uLDVqsYYJD1ijTjUpVt7e7IWQNE7RaL7xWqfpIJBiJmJ3v5jCBWdqh1Kedndmd\nnV1w2BomuKlHC39+czPWfgAJqLWqdyhV3trqsPYDCEO9VZqnVG0o1L0fgLkBmVm6Uqlma4qie5jA\nLG1XankslmNNUZjDBDf12AihpKXF6DFMUG19V3GLUlVtbU5ot4YJmq0XzlXqcDhsXoIaOAJhq3SR\nUm0dHZk9LkFMfvsL8f3xfekCys7WJSU6P3+61T/e5PX+CbTWZUrpPXv05Mkz4BSYBomeD6NfskTP\nnWu+ahrowsK13Q+jv+km/fzz5iTBVNDDh+82jKPtQ2PG6PXrzZZ5swX+oMPxO9Bat3u9Zif7DKuF\nvz0Q+CtorXeC3rRJT5s2A042D5eb+3n3Sv74R71wofmGZ4IeOHATzDKrs2frd981m/engh41qtRm\nu8ssFRbqnTvNx/2fDtPgiNv9R9BaH7DbdWmpHjduhtXC35me/h5orTeA/vxzfeml0+FUcyV9+66C\nU833XLRI//a35rG6pyiuNksnnKBXrDijx4lX2u0Pm6WMDF1aqgsLuy9Bs9f7KmhzS4adO/UJJ3Sf\neCo7++Nvb8nQvX5dVLS+e4pi7lz9yitndl+CESP2dE9RCCGkC+ioF1/ksce+qK3Nh1NhaUFBZn7+\neKWuUmrgzTezevWeTZuKYDC8lJFhKygYbj6Mfvx4evdue+ut4yAFv3S56NWr2Ou9ACJ+PzffzKOP\nng8ZcLNh4HQWZ2RMg91WJ/tNkAcXwseDB+f36TMJZioVePxxXnhhQ3l5ARwL7/TuHSgoGG0YNys1\n8qKLqKqqXLlyEGTBU36/2cL/uFL078/kyYkXXzwZ3HCv3U56enEgMAtqHA4efpgHHrgCsmGuUmg9\nODv7FFhrDhP88pe/gL4wHT7u3z+nb99jlJqtVMF99/HBB9t37OgHo+C17GxXYeFIm+1epY476STg\nyIcfjoG/a/0bj4fevYvd7guBrCwuvZTHH5/Rc4oiLe0cKDMMnnmGxYvnQi5cAR8PG1bUu/ePzAd2\nPvccjz/+5cGDBXAifJCfn1FYOFapnyg1+Prr2bRp34YNRTAAnk9LUwUFw+32X5tbMgwYEH799cmg\nrCmKYp/vAnNLhjvu4Fe/uhAy4SalsNuHZWaeIf/sEkLuALTWdYah09ISLtduq5P9xJ4Pow8EtMdT\nqZQeOPB5q5PdfBi99vnMFv6P4QOrk918GH3c5dLBYKvN9mWPTva5UJuerseO1WlpnQ7HVih3uW62\nTv9rcz+AYFC73fsg3qvXo3A2aK2XGYYeM8bsZD+g1LvwZzB313oe9ODB2uPRgUCDYXwOn4K5H8Av\nINy7tx4xwmzhXw9bbTazhf9cKPP79fjxOi0t7nTuhDqfb6G1kjV2+9GVeDxloPPzn7JuI/6mlB45\nUvt8Zgv/h/AOmP+u/z3ooqKk262DQXOKYpU1RfEzaDCnKNLSog7HZtjrcHRPUew09wNIS0u6XHug\nPT39QTi95xRFIKC93iql9JAhL1lbMrxmTlF4vdrvP2IYn/TYkuF+iPftG3O5dDDYZrOtgY2GYU5R\nXA0H0tL0uHE6LS3mcGyDR+VWQIj/sXcAB+z23rNns2iR7dhjC53Oze3tB+EWeF+pnGQSn4+HHuLM\nM4t8vg3l5dVwEbyvlBdIJFi8mEsuyc3KKoAKmAHvKzUcbNGo4447uOGGtMLCfMPYn0qVw/tKTQNX\nRwfHHcfCha6RI/Pt9l2x2AF4X6n3lUqLx+nThwce4Ec/6ud2r21oOADXwPtK9TaHCR56iJkzC4LB\nflAF58P7SvUCYjHuu485c7JzcwuUKodp8L5Sk8AdiXDWWdx6q3/AgHzDKEkmq+B9pa4yW/hHjuTe\nex3jxuU7HFsjke6VZCcSZGTw4IOcckp/r3dtTU01XAbvK9VXa7TmwQeZPTsvI6MQKmEmvK9UEdDR\nYSxcyNy5GX365CtVpnUJvK/UyeCORjnxRBYs8Awdmm+z7enqOmgdzh+L0b8/ixcbkyYVulwbW1sP\nwnx4X6ncVAqPh4f+L/beM8zq6mzbP9fudfbMnl4ZmnQQUITQexNFBUus0ZjoY3xiizVEFEQQEBtR\no8YUn8RYwIagoIBI7wgDzAwwvcPU3ct6P6z57dmQvO/x/6T/R/f9ycPL3173mvuYmb2d87qvxcyc\n2c3h2F1cXAbz4SMhnEAoxMKF3HRTRlqa6mQ2fCTEYDB6vaaHHuLee5MKC/N0umJtBFeAxedj+HAe\nf9w0eHCewdAX5idsAYlK1A9XP+QfgQvcbq65hgED2L0bg4Fg0Alzx4wBqvbtY+ZMtRYfs1l2dFg1\nCaBXL669lo8/VuC8ScouSafj+uspLmbDBllRoYec2IM1NVx3HXY7mzdLvV6Ew2ma5PnuO+bOZdw4\nDh8WRqMi2ZVUsns3U6Zw9dU0N3ci/PGdZGZy3XVs3syGDVEhDPGd+HzccAONjXzxhdTpdNFoZuzB\n06eZN4+CAr79FoNBhELJmtR44ACXX84VV1BSotu+XXq9Nk06vmMH48czbx7hMJs2yebm8y5us3H9\n9Rw8yIYNsrpaL2VB7LimJq6/nmiUTZukXi8ikXRNihw/ztVXM3Qoe/cKg0G5KJRUsXcvM2Zw1VXU\n1LB1K+3t542gsJBrr2XdOr744sKLR6Ncfz1nzrBhgxTivBFUVnLttaSksGULen2niyJRiUrUT/AX\nQI3Pl7N2LVu2cPhwVTDYCGGgvh44F4nkbd1KYyM7dlR5PIofVxKA38+LL3L0aEtzc4OUTfFSJMJr\nr1FXF62urouR7PX1QEdrq+OddxCC4uIuM0F9PVAfDPb4/HMOHWL//gq/v1HlAdTXE0+y79lT197e\ncEEnra28/DIlJZ5YHkBM8vl4801aW6mo6EL46+uBRo8n/f33sdk4dqwmGGxU/319PdAUDqdv2kRZ\nGTt3lsfyAJQEHDzIiy9y8ODZlpZO70LsOPX/9ysrg3V19VLGXzzQ1mb+618vzAOorwdq/f68jz9m\n+3YOHaqK5QFoIyjYto3mZnburPZ4Lry418tLL1FU1BZzUcSkUIjXX6exkaqqumg0/uvc2t7u+uc/\n0es5ebImHG76/+022kQl6qdRP6QP4COdbrDdbjMa6zs6ToVCh6FeA+ddMMJqVXkAZRrJHsPVx5pM\nuQ5Hh99f7vOdkPI49NKkYXp9L6czFIlUer0lGsmudt/3EUKR7DUezymNZB8IQDYMtduTTKYGj+eM\nRrIrcN4GIy2WTJut2ecr8/uLpDwFvbXjRhmNBQ6HLxis8PmUmaCnJg3W6y9yOmU0GjMTtGtL/3sI\nMcjhMOv1dR6PygNo1MD5NLjEZks2m5u83jOBwFGo0BwDFrjMbM6229v8/nKf77iUJ+M6udRg6O50\nBkOhSq/3ZDR6GFo0hL+/TtfX6dRBjcej8gBaNO9CPgxxOOxGY73HoxD+Wm0ESXCZ1ZpmtZ7zes8E\nAseksTAWuQAAIABJREFUPBM3gtEmU77D4VF5AFIWxY1gqF7fy+mMaCPYD+2ad+EiIfo7nSadrqaj\n41Q4fBDOahs4EpWoRP2/68fmA1gvZXVHh01bRt8E7fBbKYEbhWj2+ZJ9PrWMvhp8mgQsESLr3DlF\nsp+GUJz0eyFOtrQILQ8gAK2aeq8QZW1tZmiDMo1kV9Ivhaj3eBwej8oDaIAOTTopxKd+f6rfH4Q6\njWSPHbdIiJzmZglNmpngC20T0SNClLS0qDyA0+CFWvizhvBXtrdboQPK4Vxck7cK0ej1urxev2Ym\n8GrSfiG+CATSAwGVB1AGwbhOnhQiv7lZwFnNTHBWU+8X4nRrqwla4Ay0Q5O2/+dXQtR0dNg1F0Vj\n3AhuEKLZ50vx+QJQC1XgjzvuGSGyz52LQKNmJvhtXBBC95YWvTYCP1RpLop7hChra7NAG5RDi/p8\nk6hEJeqHqh+KAtoL8ssv5Y03zoRJClePX0a/YIF8/vnpMFXx4/HL6MeMkV9/PRlmwFSYEbeMPpqc\nLIuLZbduszQ6PraM/qQi2cePnxVD+NPTN8Su/49/yHvvnQnqZWX37rvhKqX+8pfyr3+dBtNVJwMH\nntDpOjeA9u0r9+1Tr6YQ+Fqz+RWQUjaZzbK0VPbrN0vzLnhdrg9ASnkA5I4d8sorZ8EE1UlOzmaY\npF5z1Sq5cGHsavKiiw4KoTaYyssvl59+qr4g00AOGXLKYHhaSdnZsqhIZmfP1PwQTVarclGc0enk\niRNyxIjYxcNud5eLYt06edttXSMoKNgOs5X68MPylVfUWcpFcVSnuycWybBtW/wIKo3GlSCl9GuR\nDLERtDkc/wApZRHIgwfllCldF8/M/DIBAiUqUT9BCuiS8ePR6xs+/ngYfCXlsrhl9Ljd3HwzL7xw\nBSTDg3HL6Et0Ol57TS2jz4YbYb22jH6WEOL113nxxW0VFQUwGtZqy+jvFuKiX/2KffuKd+7sAXnw\nalISeXn9jcYVQjBwIL17e955ZwwYYKHRiNvd1+GYB81WK48+yrPPXg9pcLcQ6HR90tKmwGGF8D/1\n1EOQC3Ph8549s3JzR8A1QqQuX87f/rb35MlCGAr/SE+3FhQM0ukeFWLolVfS2Fj55Zf9YbOUz9ts\nZGf3NZvnAbm5TJvGa69NBwc8qtfjcPRNSroayg0GVq7kqaduhyz4BRAK9cjIGAcfKVvD0qVf19UV\nwBRYV1CQmp8/VIhbhCh85BG+/PLogQPdoY9yURQU9DcYFgvBqFE4HGc//PBS8MGzmotiHoRcLu68\nk5Urr4IUuE+nw2Tql5IyMxbJ8OSTv4EcuA7WX3RRXk7OKJgjhHn1av74xx1lZd1gBHyQne0sKBii\n0/23EP1uu42iotJt23pABrzidCoXxaoECJSoRP1EPgEcAulwSIejVojP4AONZH8OZLduUatVulwt\nev03cST7f0Gd2y2HDJHJyT6jcT+ciCPZO5fRJydLi+UEtKWkLFZvkGPL6JOSpN1eLsT7ECPZ/wyy\nTx9pt0uns0Gn+wI+00j234MvJydoNkuXq91g2BFHst8IZ5xOOWyYTE4OmkyHodxqfUDrZKfRqJh6\nhfBHMzOfh7kgpVwrhBw0SDqd0uGoFuIj+AfcAlLKl0H26CFtNpmUdFav/xo2CaHMBA/AufR0OWiQ\nTE72GI174UhcHkCRzaYuHjGbj0Gj07lAkzYrF4XLJW22M0LIwsJX4TqQUv4DZP/+0uGQTqdyUawB\nFbW2BCL5+RGLRY1gG3yrjeDXMRdFcrJyUcRHMnS6KJKTlYvCGxfJ8HncCJSL4i9wE0gp31AuCrtd\nJiUpF8UNiU8DiUrUj/gTwC4hhgwYwOLFXHddltudD2UwB9YK0Qvw+8Xjj3P33a68vFwhTklZAmuF\nmAI2n4/x43n0UUv//opkr4K1QqxVCH+PHjz9NKNG5ZvNe5ubq+AuWCtEdjSKzcaSJWoZfTeohHmw\nVohkIBzmqae45Zb09PR8Ic7ALFgrxDCw+HzG3/2O3/7WUViYq9OVRKNnYK0Q14AtEGD4cBYsMA4Z\nkmc0fufzVWudpIbDZGXxzDNMmFBgtW6rr6+EW2CtEDlSYjDwzDNcfXVOcnIBlMNcWCtELhAIsGAB\nd97pzs7OE+K0dvExYPf5mD6dhx6y9e6dq9efCIcrteMcgQD9+rFwoe7SS/NNpgPt7bGvSWYkgsvF\nM88wfXqh3b6zrKwSroO1QliAaJRFi7jhhkxtBJfDWiH6gs7v1z32mHJR5ApRKuUpWCvEdLD5/YwZ\nw2OPmQcMyDUYioLB2MVTQiG6dWPRIkaPLrBYdp07VwV3xkZgsfDMM8yZk5+UVAAVcDWsFSIVzUxw\n661pmZl5QoxJvB1LVKK+3/pe/wicpNMxZgxXXUU4zJdfynPnjFJeNW5cp2wyMX8+hw+zbl1Up1PL\n6DvV+nrmzUOn48svYyS7kkJHj3LllQwfzu7dwmiUgYBDk8p27WLqVObMoaoKszkK5tgLAnl5XHMN\nGzawfn0UDPFSMMj8+VRW8vnnCuHPiqllZVxzDWlpfP01ej2hULImtRw8yOzZTJvGkSPCZMLns2nS\nye3bmTCBuXNpa8NiUd6FruNcLubNY+dO1q2LCqGXsuviLS3Mn09HBxs2RHU6XdzFOXmSuXPp00eZ\nCQgGkzSpZs8eZszg8ss5dQqTSYIl/na9e3P11axZg80WFeK8Eeh0zJ/P8eOsWyd1On0kkht7sKaG\na67BbGbjRqnTCUjTJP+RI1xxBaNGsW8fRqP0++2adGrnTiZP5sorqa//DyPIyuKaa9i0ifXrlZng\nJiHeSUBBiUrUj/IXQKOUHDzIqlUcOXK2uVntvqe6ulMWgldeobo6GL+Mvroa8LW1Wf/6V8JhSktr\nwuFG1Xd1NVDj93f76CO2b+fgwcpAoFHlAVRXA2ej0cJt22hpYffu6o6OBoXSx45rbeWFFzhxou3s\nWQXOd0mhEK+9xtmzVFbWxfIAqquBc+3t7n/8A6OR48erQ6H4ThqCweT16ykqYvfuCp9P7SXt7ERK\n9uzh+ec5cKChre3C4xobefllzpzxNTR0IfzV1UDY6zW89RYeD2fO1EYinUx9dTVQ6/Vmf/ABLhff\nfadcFBFNaopEcr7+mupqduyoiCH8seO8Xlat4rvvzjU3X9gJsHo1tbXhmpouhL+6GuWi+NvfkJKS\nkpqYi0J1Egh0/+QT9uxh376uPAD15YpGe27fTkcHe/fWtLc3XjCC5mZefJHi4vampq6JJypRifq+\n6nv1AbwqxGUmU47d3u73l/v9imTvoakjDIbuDkcoHK70eos1kl3x4wN0ur4Ohx5qvN5TGsmuwPkC\nGGK3O4zGBq83RrIrXD0JRlosaVZrs89XppHsMU5/jNGY73B4A4EKn0+R7N01aZhe38vhiESj1XEk\nuwLnLxJigMNh0ulqPZ7TGsmuHAPZMMxmSzKZmrzeM8Hgd1Clcfp2uMxszrLZWv3+cr+/SMrSuIuP\nMhi6ORz+UKjS5yuORr+Dc1r8wGCdro/TiZTVHk+pZiZQS/97CDHIbrcaDPUez+lQ6BA0aI6BVLjU\nalV5AGWBwFEoj+P0x5tMOXZ7RyBQoZkJYhe/VK/v4XSGwuEqr7c4Gj0ErZp3ob8Q/ZxOvRC1Hk9s\nBMoxkAcX2+1Oo7HB6z2jjUBd3AkjLZZ0q7XF5ysLBJSLIjaC0UZjgcPh1VwUx+As/CPxCSBRifpP\n9b/eB3C3lM8KkREMhqEBzkAIHohD+Lu1tAhtGX0IWjT1v4U43dYWW0YfT7L/UogajyeWB6DMBOqp\nM3r9h36/2+9XJLsyEzwQh/BnNzdHNZI9HCc9IkTP1lZFsp86n2S/S4iK9vYYyd4KzZqV6TYh6r3e\nJK/Xp63F92ivWSTEp4FAWiAQgnooh2DccU8KkdfSgmYmUP6GB7QghNLW1lgegBfq4S0N4a/q6Ijl\nAZyDNu2pnwtx1udL9vlUHkBN3MW3C/FFMJgZDEag/t9G8IQQ3VpadHBOG0HsNX8jxJm2NjO0QpkW\nyfCGFoRQ5/E4wKuZCTrgVSmBUp1ureaiiJkJHogLQlAuikYohXDip3+iEvU91/dMAaXBJJimVk5e\nfHHXMvqsLFlUJHNypmswfmwZfYxknwETYcYFy+g//VTefvt0mKBI9sLCnXCFUh96SK5ePQWmKC5o\nwIAine4+JV16qfz22wkwDabADKg2mV4EKaXP4ZAlJbJnzxkaHd/hdP4rnmSfOnUGjFfHZWV9Fevk\nz3+WDz00DSYpcL5Xr/1CzFfqjTfKd9+dDFNVJ4MHl+j1ndBOjx7y0KFAWtp0rZMGi+UNkFJWG42y\npEQOHhy7eDAl5WOQUu4EuWWLnD9/eqyTvLxt6lwp5ZIlcunSqTBZ/Zu+fY9oZJGcMkV+8UVsBMpF\nsUxJWiTDDG0ELXb73+MjGUaPnhH7Ose7KD78UP7619Nhojou3kVx773yjTe6RjBw4Amd7qFYJMOu\nXRMgdvHBCQooUYn6cfsAGqX8SsovpLwFCATUMvpOkn3Zsq9rawthAnwat4y+8He/Y+PGowcO9IQe\n8Ia2jH6pEIwcict17oMPRkIIFmvL6OdB0OXi179mxYr5kAb/rS2jnw4nNJL9PsiD+bC+V6+cnJzL\nYK4QltWrefXVHWfOdIdL4L3MTHtBwWCd7kEh+t1yC8ePn/rmm95gg5fsdnJy+ppMLwtB794MHRr4\ny18mgxV+bzDgcvV1OudDndnMU0+xePEtkAm/BCKRXhkZE2CtMhMsWrS5qakAZsL6bt3S8/OHCXGd\nEDmLF/PeeweOHesBA+CvbrexoGCAXr9QiJHTpuHz1axbNxS2SPmcxUJmZl+rdT6QkcHVV/Pyy3Ni\nLgqrtW9KyuVwWq/n5ZdZuPAuyIlzUYyGmULw5pusXLm1urobjIGPcnJcBQUXC3GXimTYtu34nj29\noABeT0oiL6+fclEMG0Z2duu7745WeQBGI253H4ejK5Jh2bLrIB3u0VwUU1Ukw1tvsXDhA5AHG6Vc\nL+XhxNv/RCXqx/0JIL46l9GnpEiL5Tg0Op1/gMtASrlJLaNPTlYI/7/gNY1k71xG73TKpKQGnW4D\nrNVI9qchmJsbtVplcnKbwbAdvhVC5QHcHltGn5ISNJkOQUkcyb7XZOrsxGotAW9q6lKYBVLKT4WQ\nQ4ZIl0s6HFVCrI0j2V8F2auXtNuly3VWp/sK1sOdIKX8HbRmZgbNZpmS4jEYdsM+vf6/tONO2u3q\nuIjZfBSqbLaHNekbg0H5DKTNdhpkTs6LcA1IKf8FKmBAOp21Ot1n8C+4DaSUy0F26yZtNpmcrFwU\nmzXj9D0xF0VKit9o3A/H4lwUh5WLIiVFuSiaXa6nYAJIKb9QCL/LpRD+9+FPGqr/tnJROBwK4f8i\nLpJhAfhyciJWq0xOVi6KnVokw01QlpSkRhAymY7A6bhIhkQlKlE/rTwAVzBIv34sWsRll+WZzQfb\n22vgYVij+PHkZJ59lpkzCxyOAqiCa2GNEHb18OLF3HhjelpaHpTDbFgjxAAwBoPi8ce5915nQUGO\nTndayjOwRojZ4AwEGDOG3//eOGiQItlrYY0Qa4Rwh8N068YzzzB2bL7Vuvvs2Rq4A9YIkSclFgvP\nPsvcubkuVz5UwVWwRogMIBzm6ae5/XZ3VlauEGUwA9YIMRKS/H7jQw/x4IO2Xr1ydbrSSKRSO84Z\nDHLxxSxcqBs+PM9o/M7rjXWSGQ6TkcGzzzJlSje7fXtNTTX8HNYox4Bez5IlXHddVkpKPlTAHFgj\nRA8gGGTBAu66y5WXlyPEaSlLYY0Qk8Dp9zNlCo89Zu7XL1evPxEKVWnHuUIhLrqIRYuUi2J/a2sN\n3AtrhMiJRklKYulSZs/O10YwD9YIkQRIyeLF3HJLWnq6GsEsWCPExWAJBHSPPhpzUZyKRstgjRBX\ngSMQYNQoFiwwDBmSazQeCwRqEm/BEpWoH65+yGVw+W43V1xB//588w16PeCAqydMAKoVwj9jBiUl\nimQ3axJA9+5ceSWA1RoRwiBllxSNctVVFBfz6adRIXSQFXuwooK5c7HZ+OILqdcTDqdqklch/GPG\nsGcPBoMEmyaVbN/OxInMnk1trSLZTfGdpKYydy6bN2O3K4S/S2pv5+qraWzks8+iOp2IRjNiDxYX\nc+WV5Ofz9dfSYJChUJImNSqEf9o0jh4VRqMEqyYd37aNMWOYMwePB4slIoQx/jizmauu4uBBdXFl\nJuhU6+u56ioiET7/PKrXi0gkTZMi333HnDkMGcL27dJgkIGAXZMqdu5kyhRmzuTMGczmaHv7eSPI\nz+fKK1m3TpkJzhtBKMRVV3HmjOpExI+grIy5c0lOZuPGqE4HpCS+BROVqJ/mL4Aqny/v/fdJTubw\n4cpgsEHlAZSXA43hcO7XX1NTw65dXSR7eXnnk21trFxJUdG5c+c68wBikpS88goNDeHqakWymzS1\ntbXV9de/Apw82YXwl5cDtYFAz08+Ye9e9u6t8PsbVB5AeTlwLhpl+3Y8Hvbvr2lr6zQTxI5rbGTV\nKkpL2xsbFckek2QwKF57jbY2ysoUwh87rqGjI+Of/8Rm4+jRqlgegJLC4fQNGygpYfv2Mq+3Qe3L\nVF8TKfvt28eKFRw50tjScuHFDQZeeomqKn9dXZ2UnZx+eTng83isb71FMEhpaVcQQnk5UO33F3z4\nIVu2KBdFA4Q0qSkSKdiyhYYG9uyp7Oi4cAQtLTz/PCdOtMRcFDEpGmX1apqaolVVtTEzQXk50Nza\nmvK3v2EwcPx4l58jUYlK1A9UP2QewIdCDLbbbQZDvdd7RssDUPy4G0ZYLG6L5ZzPV66R7DFwfrzR\nmKtIdr//hJQnoZsmXarX93A4wpFIlddbopHsCuHvL0Q/h8MgRK3Xq/IAWjRwPg8uttmcRmOTzxcj\n2RWu7oSRZnO61drq95drJHsMnB9tMKg8gEqf76SUx+I6GarT9XY4pJTVXq9C+Ds070JvIQba7Wa9\nvt7jORUOH4ImzbuQAZdYrclm81mvt0wzE6iL22GEyZRts7UHAuV+/wkpi6FQO26kXl/ocATD4Sqf\nrzgaPQItMBiAQTpdH7tdp1wUkch+aNO8C4Uw2G63GwwNcSNQjoFkuMxiSbVYmn2+8kDgGJTFXXyc\n0ZhrtyuE/4SUJ+Iufole39PhiGgjOAhtWu5CXyH6OxxGIeq8XpUHcE5jSROVqET9v+tHlwcA1R6P\nHTqgUluL/7qUwHVCnPP7U/x+P9RqJPtDUgI7hNgQCmW1tETjzAQvaz9EHhWie2trPMneoT14txBn\n2ttjeQDtcST7bULUeb1OUHkAF5DsHwYCqYFASCPZA9oLAguFyG1pkXFmgs9gi5TAg0L0bmtTeQDK\nTFCj5QH8SoiKjg4btGtr8Vs1M8FNQjT6fMk+nw9qoA688EcpgcNCrAsGlYsiZiZ4KB7hb21Fc1FE\noEVT/1uIU+3tJmiFM+CBBs1FcYcQ1ZqLImYmeE1KoNxgeM/vT/H7g5qZwA+r4xD+7P/LCB4Rokdr\nqw6atRF4tE7uEqK8vd0M7ZqZ4Fzi2zpRifoB64eigHaA3LxZXnvtVBin+PH4ZfSLF8tlyyZrpoHz\nltFPmiS//HI8KLpcDhsWW0YvU1PlyZMyP3+ahvDHltGXCiGPHZNjxkyD8eq4jIyuZfQffCDvumtq\nTOrRY6/G3sh77pFvvjkJFMUvBw06qdc/pqRBg+Tu3W3JyVNhCkyHOrP5VZBStlitsrRUXnTRNA3h\n9ycnrwEp5RGQe/bI2bO7Lp6buzWWB7B6tXziiSkwUV28T59DQtympKuvlmvWTIApcS6KZ5SUlyeP\nHo1mZsbY/3M2219ASlmu18viYjls2DQN4Y+mpa0DKeV+Fclw001dnXTr1uWiWLBArlrVNYIBA4p0\nut/GIhk2bx6njWA6VJlML4CUMqJFMsRG0K65KE4KIY8ckRMmdI0gK2tTggJKVKJ+ahTQBiFGTZ1K\nIFC7bt1w2Crl0rhl9KSnM28eL788F9xwv06HydQ3JWUmnNbpeOUVFi68B/LgBqCjQy2j/1jR/StX\nbq2q6gEj4cO4ZfQ9772X7duP7959EWTBq04neXmdy+iHDiU3t+3dd8eBAZ40GklJ6eN0zoN2u537\n72fZsp9DhsoDgIvS0ibBGiF4+20WLtza0lIAc2BD9+6ZeXmXwHwhXKtW8dZbu0tLe8IQ+J+0NHNB\nwUC9/gkhBs2fT0VF2VdfDYStUj5vtZKV1ddiuRbo1o1x4yJvvDEDkuARvR67va/LdSVUGo0sXcqi\nRXdCDtwKBAKFmZmdLoq//IUlS75qaOgOE+GzvLyU/PyhQtwhRMGCBXzyyeEjR3pDL3gzOVnk5fU3\nGJ4VYti4cej1DR99NAK2SvmMyURaWh+b7Rq0SIZVq66Jc1H0dbunxyIZnnzyt5AP82FD7965motC\n99prvPTStxUVPeASeD8z01FQMEine0CIi+68kwMHinfsuAiS4BWHg5ycfibTS0K8k4gESFSifgqf\nAL4DmZQkk5LqdbrP40j2ZyGSny/tdpmS0mowbIsj2buW0bvdQZPp4Pkk+wG1jN7tllZrsUayT4xf\nRp+cLB2OSiE+hDc0kv1NtYze6ZQuV5NOtxE+0Uj2R6EjKytqtUq322Mw7Ioj2efBKYdDDhsm3e6I\n2fwdnLZY7tM62W4wdHZis52CUHr6cu3d9IdCyIEDpcslnc5aIT6Fd+BmkFK+ALJ7d+lwyOTkZr1+\nC3wJyrX7W2hKSwtaLNLt9huN++CgXh/LAziqXBRut3JR1Nntj2vSJr1e4fYxF8VqUJ7kvysXRVKS\ndLmUiyIWybAIgnl50maTKSnKRfGNlgdwB1QqF4XbHTKZDsGJf3dRuN3KRdEeF8nQ6aJITpZOp3JR\nxCIZXlMuCqdTJief1eu/glsTnwYSlagf8SeAb4UYOHgwS5dyww0ZbnceVMEVsFaIPqALh/nDH7jn\nnqS8vBwhyqQ8rS2jTw4GmTKFJ54w9u+fYzAUh0I12jJ6dyhEnz4sWcLo0XkWy4HW1nq4F9YKka9I\n9ueeY86cPKczH2pgPqwVwq0aWrKE225LzcjIFaICZsNaIUaAPRQSjz3G/ffbevTI0elOR6MVsFaI\nn0NSKMSoUSxcqLv44lyjscjvr9M6yYhEyMtj6VImTiyw2XY2NtbBbbBWiAIpsVpZtox587JSUnI1\nM8FaIQqASISnnuLXv07OyckRohxOwlohxoMrEDA+8ACPPGLu0ydHry+NRLqCEEIhBg9m8WJGjMgz\nmQ57PPWalBuJkJbGsmXMmFFgtxdADdwAa5WLQq/n2We58cb01NRcqNQiGQaAMRRiwYKYi+KMlCoI\nYbYybUyYwIIFhoEDcw2GE8FgrXZcWjhMr14sWcLYsfkWy97m5jotkqFAShwOnnuOK6/MTUrKgxot\nkiEDzUzwi1+4MzNzhLgs8XYsUYn6fut7/SOwW6dj1ChmzaKjQ5HsBimvmjSpU9bpmDOHI0dwONTu\n+xzoVKurmTMHIRRTD6RqUujQIWbOZPhwtm2TGsKvpLJvv2XiRKZN49QphfAbYy8IZGUxezbr12Oz\nRUAfL/l8XHEFFRV89FFEpxPRaGZMLS3l8stJTWXDhqheTyjk0qSWvXuZPp2JE9m7F4MhqrbwT5oE\nnPzmG8aMYcYMGhowmzu38MeOs9uZM4cdO5SZQCdlt9hxTU1ccQUdHXzySVSnQ+UBKOnYMWbPpndv\nvv46ajDIYNCuSbUK4Z8yhaIiTKbOLfyx47p3Z9YsAoGYi6JLkpIrrqCoCIcjIoSA7NiDFRXMmYPZ\nrNIaALcm+Q8eZMYMRo5kx44LRnBq2zYmTGDaNMrL/8MI0tK4/HI2bcJqVd6Fm4X4ewIKSlSifpS/\nAOql7L9/P8uXc/RoY0tLJz9+6pTWi4EXX6Smxl9b24XwnzoFdHg8jrfeIhxWy+gbVN+nTgHVfn/h\nhx+ydSv79yuEP6BJTZFI4ZYtNDayd29le3u9QvhjxzU2smIFxcUtTU31UjbGS9Eor7zCuXPRysqu\nLfzqNdva0v72N4xGioqqQ6H4TuqCweTPPuPwYXbtKvP7O/MA1FPRaJ+dOwkGOXSorrX1wuMsFlat\noqzMU1/ftYX/1CkgGAiYXn8dr5fTp2tiZgJ1cY8n9913SUri8GFlJohqUkM4nP3ll5SVsXt3mcdT\nrxD+2HEtLaxYwbFjTefOXdiJTseLL1JfH4zPAzh1Cmjr6Eh6+22iUU6erI6ZCbQR9Fy7lh072Lu3\nPBBoUHkAp04BZ6PRnt98Q3Mz+/dX//sI6utZuZLS0tampq7jEpWoRH1f9b36AFYLMcJkyrZaO4LB\nCr//uJQlkK+po/T6Qrs9FIlU+XwlGsmudt8PFqKPw6GH2jiSXTkGusNgm81uMDT6fGdCoSNQr+Hq\nKXCZ2ZxmsTQrhB/KoEA7brzRmGezeYPBSr9fkex5mnSpTtfT4YhEozVxJLvafd9PiP52u0mnq/N6\nT2skuwLnc2GY1ZpkMp31+VQeQI3G6SfBZSZThtXaFghUBALHpTwVd/HRBkM3uz0QClX6/cXR6FFo\n1rwLQ3W63na7kLLG54uZCZR3oRcMstuten2D13s6HD4MjZpjIB0utVhSzOZmv78sEDgGFXGc/kSj\nMcdm69AufjKuk5F6fXe7PRSJVPt8JdHoYWjVvAsDhehrtxsUwh+J7IdWbQTdYIjN5jQaG71eNYI6\nbQTJcJnZnG6xtPj95cFgkZRn4kYwzmDIs9t9oZByURxP5AEkKlH/9/pf7wO4R8pFQsSW0VdAEF7R\nvuEfE6JbW5uAc1AMUWiHR6QE7hHi9Pkke6NGsv9CiGqvN7aM/iy0x5Hs7wYC7kAgGGcmWB2H8Oe0\ntqo8gAtI9oeE6NnWpodmKIUgBLROfiVEeUeHRSPZ2+OsTDcLUe/zJfl8Pqg+30xwQog1wWB6MBgW\nWWznAAAgAElEQVSCOs1M8EpcEEJ+ayvQBKUQgXPacb8Vok97eywPwAd1mpngDiGqPB6bhvA3x7ko\n6s3mv/n9yX5/4N/MBHuFWB8KZbW2qtSB8vNH8IgQ3bURKDNBh9bJ3UKc6egwa5EMnrhIhtuEqNVG\nUHX+CE7r9e8FAqlxI4g3EzwpRE5rq4wbQeKnf6IS9b3W90wB2WEcTFII/9ChXcvoc3Pl0aMyM3Oy\ntk8/toy+k2QfPnxKjB+PX0b/xRfy5psnw1hFnnTvvhvmKvWJJ+QLL0yACQqcj19G/7OfyS1bGp3O\nyTAZ5PDhNWbzyyClDLtcsqREFhZO0Rbce5KS3gcp5QmQR47IiROnxMD57OyvY1v433lH/va3k2Cc\n6qR37wNCKOhI3n67/Pvfx8NEdfEhQ07p9U8pqU8fuX+/NzV1sobwN1mtb4GUssFslqWlsn//KTAB\npkPI7f40hvBv3y6vukpdPOaiUBtM5cqV8umnJ8J4dfF+/Y4K0bmLdNYsuW7d2NgIhg2rMBpXKCkz\nUx4/LnNypmgjaNVcFKdVJMNll035jy6KTz+Vt9/eNYIePfbEXBQPPij/+MeuEQwadFKvf1RJl1wi\nv/32XFKSuvi0BAKUqET96H0AHVJulfIrKW8GfL6CrKyfxUj2Z5/d1NDQE8bCJ7m5sWX0BU88wWef\nHTl8uA8Uwp+0ZfTLhWDcOIzGxrVrR8E3Ui5Sy+jt9nkgU1K49VZWrboWMuA3ahl9aupU+FAIXn+d\nJ5/8pr29G1wDtLRk5+SMgI+F0CuSvby8FwyHf2Vk2AoKBul0jwjR5847OXiwePv2vrBVyhdtNnJy\n+pnNVwD9+9O3r/fvf58CNnhCr8fp7JuUdA2ctVp5/HGWLLkNclQeQCjUIzNznMoDePttnn56y9mz\n3WEarC8oSM3PHybETUKkL13KO+/sO3nyIugHf0lJMeTnDzAYFgkx7PLLOXeuasOGYfCN5qLoY7XO\nA3JymDmTV1+9EtwqD8Bs7ut2z4Iyg4FVq5SLIl9zUeRnZ486P5KhJ4yCtdnZSQUFg3W6e4Xo/tBD\nbNx4dP/+PpATc1EYjc8LwWWXqUiGMSDhKaORlJS+Dsc8CCYlcdddrFhxA2TBf2kuislqBG++ycKF\n37S1FcImKb9IvPdPVKJ+9J8A4qtzGX1amrRaT0K9w/GE1s8XKg/A7ZYOh1pGHyPZO5fRu1wyOblR\np/syjmT/A/hzcqTdLt3uDoNhZxzJfnNsGX1aWthsPnI+yb7LaJTDh8vUVGmzlUJ7Ssoz2vv6j4SQ\ngwfLlBSZlFQjxMfwZ7gRpJSvgOzRQyYlyZSUZr1+M6yDX4KU8kFoTk+PWq0yNdVnNO6FPTpdLA/g\nuM3WeXGLpQgqrNaHNGmLXi+HDZOpqdLhKBPin7BKS9f6J8j+/WVysnS5lIvinxo7vxQiBQXS4ZBu\nd5vBsA2+0lwUd0FNSkrQYpFpacpFccRguOcCF0VamnJRNDmdf4CRIKVcr1wUbrd0OpWLIhbJ8CbI\niy5SI1Auilgkw2Pgyc6WNptMTfUYjbviIhmuhVNOpxw2TKalKRdFidn8m8Qb/0Ql6qeZB+AOhxk8\nmGeeYeTIXLP5SEdHA6wTYp1C+NPSWL5cLaPPhzq4FdYJkQ4YDCxbxs03p6Wn50A1XAPrhBgBZmUm\nuO8+e2Fhtk5XJmU5rBPiOkgJhZg4kT/8QT94cI7BUBwM1mnHZUQi9OrFsmWMH59vte5vbm6Ae2Gd\nEIVS4nSyfDlXXZXtcuVCLdygJEAInnmGX/4yOSsrW4hKmAvrhJgIyeGwePRRHn7Y0qtXtl5/Ohqt\n0o5LCYe59FIWLeKSS3JMpmM+X+ziOdEoubk89xxTpxbYbOrid8SOs1h47jmuvz7D7c6FapgP64QY\nCDplJrjnHmdeXo4Q5VKehnVCXA7uUMh4//0xF0VpOFyrHZcaDjNgAEuW8LOf5ZrNh9rbG+D3sE6I\ngmgUt5vly7n88jynMw9q4WZYJ0QWmpng1ltTMzJyhKiCq2GdEKPBFg6zYAH332/TRlAB64S4RY1g\n7FjlosgxGk8EAo2Jt2CJStQPVz/kMrg8t5sZM+jXj02bonp9FOwwe8oUoFoh/BMncvQoRmMETJoE\nkJ/PtGn4fMpMoJeySwoGmTWLkydjJHtW7MEzZ5g1C6uVTz+N6PUyHHZrknffPqZOZfRotm2Lagi/\nkkq2bmXsWCZPpqxMkeyG+E5cLmbMYPNmxdTr4jtpbmbWLBobSUqKCKHgnE71+HFmziQvj/Xro3q9\nBKcmNe7cyaRJjBvH/v3SaFQIv5KKNm9m5EimTuXsWcxmhfB3HafXM2sWBw5gt0eEEFLmxI6rrmbW\nLMJhZWuQkKpJkUOHmD6dwYNVMkE0ELBpUsW2bYwfz8SJHD+uzATnjSA7m+nTCYexWJSLokvy+Zg1\ni9OncTrVCDJiamkps2bhcik/hwRX4lswUYn6af4CqPB4Ct59F5eLQ4e68gCKi4GGcDj3yy8pL2fv\n3jKPp3MLf3Fx55ONjTz3HCdONJ09q3bfd0lC8MILNDYG45fRFxcDze3tKW+9hRCcONGF8BcXA9V+\nf++1a9m5kz17Kvz+evBq0tlotPc339DSwsGD1W1t9Rd0YrezYgWnT7c2NtZFow1xUiQU0q9eTVub\njM8DKC4G6trasv7+91geQIN6oLgYqA+F0j//nOPH2bVL5QG0xL4m0Wj/PXtYtoyjR+tbWuovuLjR\nyPPPU13tra2tjeUBFBcDHp/P/vrrhEKUllbHtvAXFwOVXm/he++xaRMHDlQEAg0Q1KTGSKRARTLs\n21fR0VEP5x1XX8/y5Zw8ee7s2Qs7kZKXXqKpKVRZWRuNNsR1cratLfXtt9HrOX68KjaCRCUqUT9Q\n/ZB5AO8LMchms6ll9BrJrnD1DLjUbHabzc1+f3kwqEj2GKc/yWjMsVo9oVClthY/R5NG6fXdbbZw\nNFqtmQlaNXB+kBB9bTajTqdI9oPQooHzhTDEalV5AGUaya5w9RS4zGRSeQAVgUARnIFc7bjxBkO+\nzeYLhar8fkWyZ2vSpTpdT7udaLTG5yuNRg9AuwbO9xOiv81m0enqfb4zmpmgEIAcGG6xJJtMZ/3+\n8mDwKFRpnL4LRhiNWVZrezBYEQickLI07uKj9fpCuz0YDlf7/cXR6HfQonkXLhZC5QHU+nwK4W/X\n0g56waA4F8VhaNBGkAYjzOZUs7klEFB5AOVxI5hoMOTabN5QqNLvPynlibhOLtPpetjtUW0Eh6FN\nSzsYKEQ/m82o09XHjSCRB5CoRP1/qR9bHsDnUOX12jWSvSWOZK8zm/8aCKQEAjGS3aeR7HuE+DwU\nyg6FYiR7KI5k/50Q3dvbVR6AYuq98LiUwJ1CnPF4LHEk+1mNZL9ZiFqfz+nzxUj2jjiS/d1gMC0Y\nDEIdVEMgjmT/vRB5bW0SmuA0hOEEbJQSuE+I3u3tsTyAIBi0Tu4QotzjsUEHlEMbNGt5AB0Oxx89\nnmS/3w/V0ABezUxwTIg1oVBGKKTyACrPR/gf1VwUZ7WLt2vH/ZcQpzo6Yi4KHzTAWxrCX+X1qjyA\nSmiGNm0EVUbjO4GAOxAIQC3Ugl8bwU4hNoTD2W1tykVRdv4IHhSiZ3u7XhtBGPxxIyjTRlAGHYk8\ngEQl6oetH4oC2gvy22/l1VdPhDEKA+/WbSfMUS0tXy4XLx4P4xQ/Hr+MfsYM+fnn1TbbBIXwDxsW\nW0YvMzIUyT5J26ff7nS+GyPZjx+XI0d2cfrxy+g//ljecccEGK2O69VrnxAKOpIPPCBffXUsqAQC\nOXhwiV7/eyUNHy63b292uSZqS/MbLJY/gZTS43DI0lLZq9ckmADTIJCS8hFIKY+BPHBATps2MQbO\n5+V9EwPh33xTPvzweBirOunb94gQiiySN9wg33tvDEzQXBRlBsNSJXXvLg8fDqanxzpp1lwUVUaj\nLCmRQ4ZMgvHqlPT09SCl3K4iGa67rmsE3bvvirkoFi2Sy5aNi41g4MDjOt2DSpo4UW7cWGe3T4i5\nKEyml8+PZIiNIOaiKNEiGbpGkJ39dYICSlSifmoU0HohLpk9m5aWqg0bLoFtUi7RltHPA7KzmT2b\n1auvgjS4L24Z/Qfqf/EvXLjN6+0G1wHt7WoZfSfJ/txzm2tre8MI+DAry1FQMFinu1+I7g8+yNdf\nH9u3rx8kw+q4ZfSMGIHb3fz++xNAD08aDLhcfZ3OeeBPSuLuu1m+/CbIhl8LQTTaKz19YhzJvrW1\ntQdcDl8UFqbn5Q0X4johbC+9xGuv7Tx9ug8MgndSU035+QP1+ieF6H/TTZw8eXrr1kHwjZQrLRYy\nM/taLPOBnj255JLgn/88G1zwsE6H1do3OXkO1JpMPP00ixb9CvJBuSi6ZWePVmaCv/yFxYu/bmzs\nBePg09zc5Pz8IUL8Wojcp57igw8OHj3aF7rDGy4XeXn9jcbnhPjZlCkEg7WffTYStkm52GTC7e5r\nt3dGMsyfz8svz4cMuFcIdLq+qalT1QhWr+bJJ7d5PN1jLorc3BGxSIbnn99aVXURDIf3NBfFw0L0\n+s1v2L79xO7d/WGrlC/b7eTk9DWbVyfyABKVqJ/IJ4BjIFNSFMK/IY5kXwShvDzpdMrU1HaDYXsc\nya6W0YcsFpmeHjabD8N3cSR75zL69HRps5VAU1LSkzAapJSfqWX0qakyKalaiLVxJHvnMnqXS6ak\nnNPrv4oj2R+GtsxMabfLtDSf0bgHtmt5ANOh2G6Xw4bJ9HRpsRyDUrP5Xq2TbSoPIC1NOhxnhPgf\nWKYFnL0HcsAA6XZLl6tOp1sHf4WbQEq5AmS3bjIpSbrdrQbDN7Ae7gQp5W+g3u2OWq0yPT1oMh2A\n/Xp9zExwRLko0tOVi6LaZntEk75ULoq0NOl0KhfFS5o19y/KRZGSIlNSmnS6L+E9LZLhSeWicDhk\naqpyUcQiGW6JuSjS0yNm8xEoiotk2K1cFOnp0m4vhRaX62kt4Oxj5aJITY25KGKRDKtB9uwpXS7p\ndisXxS8TnwYSlagf8SeAnUL0HzqUFSu48ca01NQcqIUbYaMQl4FBSp5+mnvvdRQUZAtRKWUZbBTi\nOkgLhw0PPMCCBfoBA7INhtJwuA42CrFRIfwDB7J0KWPG5Fksh9vamuBJ2KgQ/tRUVq7kiitykpJy\noR7ugI1C9AAMBp57jttvT8nIyBaiBq6HjUJMAWckwoIFPPSQpUePLJ2uPBqtgo1CPAipkQjjxvH0\n0wwdmm00ngwEzmqdZEcidO/O8uVMmpRvteZDI/wWNgrRE3A6WbGCa6/NTE7OgTq4BTYKMRgQgiVL\nuPvupJycbCGq4BRsFOIKSI9ExCOP8Nhjxj59svX605FIrXacOxJh+HCWLGHkyByz+ZjXG+ukIBol\nK4sVK5g5M9/hyIMG+DVsFCIHzUxw002paWnZUAM/h41CjAazlDz1FPfdZ+/WLUunq5CyAjYKcROk\nhcNMm8aTT+oGDco2GEpCodgIMiMR+vZl2TLGjs2zWg+2tjbCo7BRiO5SkpLCypUxF0U9/AI2CtEb\n0OtZupQ77lAuiuEwLfFRIFGJ+h7re/0jcJJOx4gRTJxIU5Mi2fVSTp02rVOORpk2jcOHsdnCOh2R\nSDZ0quXlqH9ISlIku1uTQvv2MXkyw4bx1VcRvV4h/Eoq27KFsWMZN46iImUmMMZeEEhLY/JkQiFF\nsuvipfZ2pk2jogKHI6LTEY2mx9STJ5k2DbebTz6J6PXRUMipSS07dzJxIqNGsX27MhOYNenE118z\nahQTJlBZ+R8ubjYzZQo7d2K1hoUQUubFjqurY/p02ttJSlJfk9SYdPgwU6fSq5dKJoiCTZNqFcI/\nZgwHDvyHi+fnM3kyra3/oZNQiGnTKCrqNBNAVuzBM2eYNg2TCZfrghH49+5l8mQuu4zNm1UnVk06\ntXkzo0czbhwnT2IyhcEQ30lyMlOmsGkTFou6eGbiOzJRifqx/gKol3LAnj0sXcqxY/XNzXVSNgBF\nRZ2y0cjKldTWemtquvjxoiKgzedLev11IhFKSqpjeQBFRUClz9fjvff46iv27esi2YuKgMZIpPCr\nr6ip4cCBLpI9dpzLxbJllJaea2q6sBNFsp87F6qoqIlE4o9raG/PePttlQfQRbIXFQG1gUDyxx+z\nfz+7dpX5fPUqD0B1Eo32/fZbPB6OHKlpaen0LsSOs1pZsYKKivb4PICiIsAfDFpWr8bn49Spmgsu\n3tGR/z//g9PJoUMVgUC9ygMoKgLqQqHsDRsoLWXv3jMeT72CbWLH1dezdCnHjzf++wj0elator7e\nX11dE43GH9fi9Sa/8QZSqjyA+jipyufr9cEHfPMNe/aU+/31Kg9Au3hPFclw8GBlW9uFI3A6ee45\nTp1qbmxM5AEkKlHff32vPoCXhVAke0cwWKmR7FmaOlqvL7TZQpFItd9fopHsCuG/WIg+NpteiLo4\nkl1tnO8Jg61Wu8HQ5POdCYePQIMGzqfBCJMp1WJpVcvooTwOV1ckuy8YrAoE1Fr8WCeX6XQ9bbao\nlDVxJLta+j9QiH5Wq0mnq/f5TmskuwLnC2CoxZJkNJ71+8tCoe+gTnMMpMAIozHDam0PBCqCweNS\nno5zDIzT6wtstkA4XOX3F0tZBOc0hH+4ECoPoNbnOxWN7ocOzbvQBwbabFa9vsHnUy6KJs27kAWX\nmM0pcS6KqriLTzEas61WjzaCkriL/0ynK7Tbw5FIjd8fc1EohH+IEH1sNoMQdT7f6UjkALRp3oUe\nMNhqdRgMZ/1+lQfQoDkGUmGEyZRmsbQGAspFUR538QkGQ57V6g+HK/3+YilPQBP8M2ELSFSi/lP9\nr/cB3CvlQiGyQqEwNPwbyf47IQrb23VwFk5pCP/vpQR+LcRpj8cEbXAa/HEk+y1C1Ph8MZK9JY5k\nrzQa/x4MuoNBtYw+3kywW4jPwuEcjWRXZoKjsEVD+Ht1dMTyACIQ1Tq5Q4gyr9cKbVCukezKynSD\nEHV+v8vv98WZCRTCX6LTvRsKpYdCIaj/NzPBo0IUtLcDTXAGwtCmHXePEH07OmJ5AAFI0qTbhKj0\neu3QARXQBi2ameCc1fonvz8lEPBDjWYmUBc/JMTaUChLc1FcMIKH/s1F4dOOu1OIgR5PLA/AFxfJ\ncJMQNT6fU4tkaD4/kuGdYDA1GAzFmQliF39CiLz29ig0aWaCxE//RCXqe63v3wcwCsYpfnzo0K5l\n9IWF8siRUHq6Wpo/FVodjv8BKWWlwSBLSuTFF0+I8ePaMvpvQX71lbz++nExhL9Hjz1wtXrNp5+W\ny5ePgTEKnI9fRj9hgty0qc7hUOEEcvjwOrP5j0pyuxXJPkFD+H0u14cxkv3oUTl2bBenn5OzBSao\nB997T/7Xf42DnynpoosOCXGLku6+W/75zz+DseriF1982mBYrKSBA+WePe0pKbGLn7XZ3gYpZbPV\nKktLZZ8+EzSEP5Kaug6klIdB7t4tL798PIxRx3XrtiPmonj5ZblgwVgYrS7ev/8xne6/lTR3rvzo\no3KrdVyci2JVfCRDVtZ4bX1/zEVRrtfLkyfl8OFdI8jM7HJRbNggb765awQ9e+4TYp5SH39cvvDC\n6NgIBg8u0eufOD+SYTxMUg8mKlGJ+tH7AHZIuVXKGwGPRy2j71yLv3jx142NfeBn8HF2dlJBwRCd\n7jdC5D31FB9+eOi77wZALrwet4x+9OTJRCJ1n346Gr6V8um4ZfSkpXHddbz44vWQBfdoy+gnxZPs\nHR09YS7Q3JyZl3epItn/9CdWrfqmqqovDIV309MtBQWD9PrHheh1zz3s2nVi1y6F8L9os5Gd3ddi\nuQ4YMoSCgvZ//GMa2OExvR6Ho6/LNRfa7HYefJClS++AfLgdCAS6Z2aOhTXKu7Bw4Zbm5t4wFdbn\n57vz84cK8Qshkleu5O2395SU9Ic+8HZysi4/v7/BsESIwddcQ3V1+aZNw2GbygNIS+trs10DFBQw\nYUL0T3+aC2lwv06H0djP7Z4B7wvBc8/x9NPf+nyFcD3Q3p6bnT0yNoJnn91UX98HLoO1cS6Kgscf\nZ926I4cPD4BU+KPDQW5uX5PpRSEYOxaTqXHt2nHwrZRPGgwkJ/d1OOarSIbbbmPVqhshB+66wEXx\n+ussXLitvb0nfCXll4n3/olK1E/hE0CsDqpl9JmZ0mYrhhq7/VGtn85l9OnpMimpSogP4WVQbyrf\nUsvo3W7pdp/V6zfFkeydy+idTpme7jUad8EWjWRXy+hDFovMyJAWy9HzSfYdimTPyJAOx2kh/g5P\nqzfIUq4RQg4aJNPSZHJyrU73KbypkewvguzeXSYny9TUFr1+K3wCd4CU8j44m5Ym7XaZkREwmfbD\nLs1MIKU8ZrV2XtxqPQ5nLJb7NekrvV4OHSozMqTTWS7Ev2AFXAFSyndA9usnU1NlSopyUbwD6hPG\nYuWiSEqSaWkdBsN2+BJ+BVLKX0JVcnLUapUZGcpFcSjORbFPuSgyMqTdXnJ+JEOniyI9XbpcykWx\nGq4FKeXrykWRkiLdbuWi+FCLZHgY2jMzpcMh09OViyIWyXA5lDgcctgwmZmpXBQn4yIZEpWoRP20\n8gDSFcm+dCmjRuWYzcc8nmbYIsQWIQqjUbKzef55Lr881+nMhUa4B7YohN9iYcUKbr3VnZaWpUUF\nbBFiGtiUmeD++62FhVk6XaWUVbBFiLshIxIx3HcfTz3F4MFZRmNpKFSvHZcdidCvH8uXM358rsWS\nD+fg97BFiF5S4nbz/PNcfXWWy5UDDfAr2KIQfpVM8KtfubKzs4SogZtgixBXgjsa5fe/55FHTL17\nZ+n15dFojXZceiTC6NE88wyXXppjMp30+2MXL4hGKSxk5UqmTy+w2/OgCe6HLUJcBDgcrFzJz3+e\nlpqarTH1W4QYDQaVTHDvvfb8/CwhqqEctghxI2REIuJ3v+MPf9D3759lMJwOh+u04zKiUS6+mOee\nY/ToXIvlaEfHOU3qISWZmTz/PHPmKBdFI9wd60SN4Be/UC6KWrgFtggxExxSsnAhDz5o6dEjM24E\nD6qJT54cc1GUBINnE2/BEpWoH65+yGVwuW43kybRpw/r1kU0fnzCjBlA9ZYtjBnDyJHs34/BoEh2\nJQFkZTFuHM3NmM1hIXRSdkleL5MmcfIkNltYCCAj9mBJCZMnY7EoM0EUUjTJu+v/sPee4XFW99rv\nbz3T1btG1XKXiyxLlm3ZxsaAEyAJEAKkkcImIewUQgiBBJKADS4YAy6YHggltATCphrTbNyNe5eL\nrN4lW336/M+HpWc8dvY55z3nfXdCkrk/cV33NbPWYl3SzGP97v+9jfPPp6KCjz8OW60hcJjW8Y8/\nprKSWbM4ehSbLQiW6J3ExzN3LuvWRUj2M1ZHBxddRHs78fFBpQQyIi88cIALLyQvj+TkkMUSgjjT\n6ti4kdmzmTZNhwl0EYK2Dn/4IVOnMns2zc3Y7eceXIQLL2T3bh0mQCQnslxdHRddRDBIYqLeSZpp\nhXbu5IILKClhzRq9k8gV1GuEf8YM9u7Fag2ecwUZGZx/Pv39OBxBUNFWXx8XXcTJk/oKJPoKqqq4\n8EKSk3WsIQxJsR/BmGL69/wAqO3vL3rxRZKT2bNHk+xBYP9+oDUYzHv/faqr2bWrZmCgVU/h379/\n6JVNTSxZwtGjHadODZHsEcti4aGH6OjwNja2hMNtGi3fvx/oGhxMf/JJ3QdwBuHfvx9o8HjGvvYa\nGzeyfbtG+AdNqyMUGr1+PZ2d7NvX0Nvbqkn2yHKJiSxdSm3t6fZ2nV2IWP5w2L5qFb29odrapkiY\nYP9+oLmvL/fZZ3G5OHBAFyEo02rx+zPffpsDB9ix4+TgYKvuA9i/H2gLh8dv3crixRw+3HL69FCY\nILITh4Nly2hu7m9paYkg/Pv3A70+X9JjjxEIcPx4UyjUFmXVDQyMePll1q5l1646n69Npyj0csFg\noa5k2LOntr+/Dc76/5yaypIlHD/e2dnZcs4VGAbLl9PV5TP7ACLLdQwMZD79NBaLTlG0gSX2IxhT\nTP84/SP7AF5VaqLL5bJYOr1eTbJ3mbi6G6ba7Wl6GL1Jskdiol+wWnNcrsFAoMHnOypyHDJNa5Zh\n6D6AZq/3hEmy69n3k5Ua63LZlGrzeiMku04MjIRSpzPBRPg1ya5xdR0myHQ4en2+ejNMkGUud4HF\nkh8X5wsEGn0+PRY/spPphjHS5UKkxes9EQ7vhT4TnJ8A410up0b4zTCBTgwUQLnDkWy3n/Z66wKB\ng9BscvppMNVmy3Y6B/z+Br//iEh11E7mWCyFLlcgFGr2eo+JHILTZv3AFKXGxMUZ0Or16hTFgJkY\nGAMlLle8xdLh9daaYQJ9BVk6ReFwdPt89X7/IWiIuoJ5VmuuyzVoHvxY1MFnGsbwuLiweQU6RaGz\nC6VKFbtcNsNoN8MEPSZLGlNMMf0/61+tD+BdaPB4In0AvVF9AJ1O55M+X6rfr/sAOqJI9j1K/TUY\nzOnrC0HH35Dstyg1or8/Mow+DD6420T4Jw4ORobRR5Ps31aq2etN9Ho9f0Oy11osL/j9GSbJ3no2\nyX6HUvl9fboPQIcJqmGNCPAzpcYMDFihG6ohCC5zJ9cpVe/xuMw+gP6oPgBfUtJDfX0pPp/uA+iC\nATNMcESpVwKB7EAg9N+FCW5Talh/v+4DOGmmKPRyP1JqwsCA7gPQYYJs0/quUo0eTwIMQj30RKUo\nWhyOZ8wUhQ4TRFcyvBUM5vb1haPCBEfgYzNFMfLsKwiby12vVM3goBP6oBYG9YNdTDHF9I/SP4oC\n2guybZtcdtkZXL2o6Mww+lWr5K67ZsJMTeNED6O/4gp58816l+s8E+E/M4w+N1cOHRK3e7ZJskeG\n0ddqkr2iYnYE4Y8eRr9mjXzve+fBTL2T0aN3K6Xnhsodd8iqVTNglt5JaekJi2W+tior5WyiMRsA\nACAASURBVNNPOxMTZ8MFIFOmdLhcfwAR8SclyfHjMnz4HDgfvgCBtLS3QESOgOzbJxdeODuC8BcU\nbIJL9Xs+/7zccsssmKF3Mm7cAZOikeuukxdfPO5wDB28rKzeZlumrdGjZfduT3p65OCRFEWr3S4n\nTsjEiWcm+2dlrYWhSoaNG+VrXzsvcgXRKYr775eFC89cQUnJUcP49dmVDJEraHE4HomuZMjLm20e\nPJKiiFQyzD47RTEnBgLFFNO/FQX0nlKlV15JS0v9Rx9Ng026DyA9vTg+/iqgoIALL5QnnrgasuDm\nqGH0f1GKZcs0yT4CruHMMPoIyf5xW9s4qIDXzGH0tyk17I47eO+9A3v3ToINIqujhtFz3nk4nZ1v\nvHEBbBb5vdVKYmJxYuI1EE5J4T/+g4ce+h7kw4+AYHBkVtb5Okzw5JPMn7+hr280XAp0dmbk55cr\n9aZStkcfZfXqzbW142ECvJCWZi0omGC13qNU8fXXs2/f8U2bSmGjyDKnk6ysYpfraqC4mAkTPM89\n9xVIgdsMA4djXGrql+FVpfjd71i0aLPPV6T7AAYHC3JyZuowwbPPcs8967q6iuE8eCs3N6mgoNQw\nfqpU9pIlvPTSriNHJkIBPGmmKB5UquJLX6Knp+n992fCJpF7bTZSU8fqFEVODl/5Co8++g1ww8/M\nFMVF+gpWrGDBgo2Dg6PgSuD0aXde3jRdyfD00yxbtq65eTxMgVczM52FhRMtljuUGv7LX/LJJ4d2\n7ZoUnaJwOL4FL8SGgMYU07/DE0AVSEaGpKXpYfQvmiT73eDNy5PkZMnKGrDZtsKHSv3IHEZfl5Qk\ncXHidoedzv2wL4pkHxpG73ZLQkI1PAe/M62hYfRZWZKSoofRP2qS7EPD6NPSJCOj22JZB6+bfQC3\nQndWliQmSna2z27fARsj38FFquLi/E6nuN3ich0+m2Rfb7EMQe6JibVKvQyL4RIQkVdAxo+XzExJ\nTW03jPfgj3AtiMhSCBcWSkqKZGb2Wa2b4F1zMv6PoSU1VeLjJTs76HDshR2GEekDGEpRuN0SH38M\nGlyu285JUWRnS3KyTlGsgCujUxTp6ZKerlMUkUqGO2EwJ0eSkiQrS6coIpUM34STiYkhl0vcbp2i\niK5k2BJ1BTpFcTecF52iyMqSlJRWw3gbnoBvgois0imKtDTJyOixWNbDf8YeBWKK6V/4CeAzpcZO\nncry5XoYvdtk6jcr9QVwGAaLF3PzzXGFhdmG0STSAJuV+hG4RbjtNu6+W02c6LZaa4LBNtis1Gal\nckSYPJllyzjvvFynswC6TWuUCG43K1ZwxRU5ycm50Ak/h81KlQJOJw8+yA9+kJyd7VaqFa6HzUpd\nCcnAggXcdpt95EhNsjeb75kdDttuuomFCykvz7HZTvj9p02rQISxY3noIebNy4+Ly4fT8DvYrNRY\nIC2N5cv5xjcyU1NzTKZ+s1KzQNlsLF3KT36SkJeXrVQL1MFmpa7VB7/zTn73O0txcbbFUhcOt0bt\nhMpKli7VfQBHPJ7IwUeIUFjI8uV86Ut5CQm50AW3RnaSkMDy5Xzve2nmFdwAm5X6ErgMg0WLuOUW\n17Bh+goaYbNSPwN3OGzceqtOUWRbrSeDwXZzudxwmJISHnhApyjyoRvug81KjRYhK4sVK/ja17KT\nkvTBfwablSrXV7BsGTfckOR2u5UqhbmxR4GYYvo76u/6R+B4w6C8nBkzaGzUJLsSmXXppUN2IMCc\nOezbp5l6IBuG3JMnmTsXERISND+eZlqBzz5jzhwmTdJhAo3wa6tWI/xTp7J7tybZrZE3BFJTmTWL\nvj4cjgCoaKu7m/PPp64OlytoGBIOZ0Tcw4eZO5fUVBIT9U4STKt70yZmzaKsTDcTaHBeW1UffkhF\nBZWVHD+OzaYR/jPLWa3Mns3WrUMHF8mNLNfUxNy59PURHx80jHAoFDk4u3czZw6jRpGcHDQRfm21\nrF/PjBlUVLB1q05RnHXw3FxmzKC1Fbs9cM4VeL1D9QkuVwThH3JPnGDuXKzWyBWkmpZ32zZmz6a0\nlDVr9E7splX98cdMn860aezfr1MUZ+0kMZHzzsPrjYQJCmM/kTHF9K/6AdAqMmHrVhYt4siRFhPh\nl717tavsdu6/n7a2/ubm5nBY4+ra7fH5Uh59lFCIo0cbg0HNj2urbnBw1Msv88EH7NxZ6/O1gt+0\n2kKhog8/pL6evXtr+/pa4azlkpNZvJjq6s6OjnN2ElbK8tBDnD7tq69vNsH5ofccGHD/4Q9YrRw6\n1BAIRFtNPl/KG2+wfTs7dtR4PG3Qb1rt4XDxxo309HDwYGNPz7kHj4tj6VIaGnpaW885+GAwGP/w\nw3g84erqyBR+bdX39w974QUSEyMpirBptQQCOe+9R1UVu3dXDwy0Qlf0co2NLF7M0aNtf3sFVisP\nPEB7+0BUH4B2T3m96Y8/jghVVY3n7MTjGfPqq6xbF+kD8EYOHgqN1JUM+/fX/e0VJCWxZAk1NV0d\nHTpMYI39RMYU099Rf9ccwEqlplqtbqdzIBBo8PurRKoh3XTPN4xhcXGaZD8ucgi6zaH/FUqNcbks\n0Ob16rH4AyY4PxZKnM54q7UrimTXuLoOE6Tb7T1+v0b4GyDDXO4LFkuuy+UJBptMkj3NtGYZxnCX\nS8LhFp9Pj8XvNYf+T4Zil8tuGO1er+4D6DHB+eFQ5nAk2WynfL46sw9Ac/qZMNVmy3I4+jTCD7VR\nB7/AYilwufzBYJPPp8finzKzC9OVGhUXp0Ravd7qcHgP9JnZhQkwweVyGUaHz6dTFKfMxEAeVNjt\nqXZ7t89XFwgcgqYoTv9iqzXH6RwIBBrNK4gcfI5hDHO5QuGwvoKDUVcwRakxLpc1KkXRZ17BaCg1\nr6AuGNwHHeYVZMNUmy3D4eg1r6A+6grmWSx5Lpc3GGz0+Y6JHIVOeCUWC4gppv9O//Q5gJtFfq+U\nu78/QrL7o0j2XypV1N+v+wBqzGH090Qh/A7ogRrwQb5pfVupJq83wRxGH02yN9vtT/v96f8dyb5N\nqTdDobz+fjFJ9gBUwUciwE1KjRoYsJp9AGGwmstdp1SNx+OKItm7IlGmzMwlnZ3JPp8HmuAU9Jth\ngmrDeD4QyAoEgtAKLX+D8Bf29wNdUAtB6DeXu1GpcQMDNuiBaghAuml9V6l6M0WhwwSRPoDe+PiH\nBwfPSVHoMMEBpV4NBnP6+3UfQOPZKYpfKDViYED3Aegwgc9c7vqoFEUNeGGYaVFYuLShQfcBNP5N\nJcMfA4GMQEBXMuiHA30FO5R6PRTK7+8X6IB6CMZ++8cU099Zf/8cQAXM1Px49DD6UaNkzx5vRsYs\nOB9kypTIMPoWk2SfBbM1rp6d/SGIyGcgGzbIVVfNjCD8I0fuNOeGytKlsmjRdKjUJPukScciw+i/\n+EVZs6YpLm6mifC3OZ1PaCszU6qqJC9P72Qe+FJS3gARqdYk+4wZZwbc5+dv0P8hIv/1X3LDDTNg\nhl6uuHifUno4qNx8szzxxGGbbYaJ8NdarUu0VVYmW7Z0JyfP0r0CU6acjo9/HkSkPz5eTpyQ0aNn\nwRy9SkbGGhCRgyA7d8oll8w8O0VxhX7PJ56Q3/ymEqbrnUyYcMQwfqmtb3xD/vKXGqdz6ODl5U12\n+yptDRsm+/cHs7IiBx9ISvrz2ZUMZ64gJ+djEJHNZiXDzEh2YfToXUpp2koWLJBly/QVXGimKO7W\n1vnn60qGWXCBOXs1pphi+hfPAewQ2SzyLc4eRq9J9s7O8VAJA01Nehj9L5RyL1rEyy/vOnKkFDLh\n8YQE8vLG2e0rlZp66aX09TWtWXMebBZZYLWSkjI2MfEawO3m8st55JFvQx78WCnC4dGZmRdohH/l\nSubP3zQ4OAYuB7q6svLzpyj1pkmyr29ungil8HJ6ur2wcKLFcpdSI37xC9avP7xzZxlsFFnucpGd\nXex0fh2oqCAzs/vPf74EHLoPwOUqTkm5DF5Riptu4v77NwUCRXAd4PEMc7tnaYT/6aeZP//Tnp5i\nuBACra0pBQWTlXpLqfiVK3nyyW3V1ZNgFDyTnExBwTibbalSE771Laqra9atmwqbRJbY7aSnj42P\nvxoYMYLKysDTT18FWfALpbBadYriz0qxcCH33rvJ6x0JXwd6e3MjCP+zz7Jw4cft7RNgGryena1T\nFL9SKn/+fP76170HDkyGDSKPxMeTmzvO4Vit1MwLL9SVDHNhi8hdUSkKMjL45jdZteq7UAA3ciZF\n8bpSPPoo8+dv7O8fA5+IfBT77h9TTP8OTwARDQ2jz82VhIQT8Ee47Zxh9G63RvjfgBVmQvVJkNGj\nJSNDMjJOWywfwysmyf5rPYw+OVncbq/d/hl8YpLsl8HxhIRwXJzk5IjLdQgORpHsm6xWmTJFcnIk\nMbFGqRdhPswGEfmLUjJxomRnS1pam2G8G0WyPwRSVCTp6ZKV1Wu1boD/MvsAboL29HRJTBS3O+Bw\n7IYtUX0A+53OoYPHxR2Faofj56b1oWFIWZnk5EhycoNSf4H74SsgIs+BFBdLZqakp3daLB/A8/Bd\nEJH54MvLk9RUyc4etNm2wvtwA4jIdTpFER8vOTnidO6H3RZLJEzwWdQV6BRFpJLhLZ2icLt1EcKb\nUZUMj+oURUaGZGbqFEWkkuFXOkWRnCxut05RrI9OUcTHh1wuyc3VKYroSoaYYorp36sPIEeEykru\nv58ZM3Kcznzog+1KbVdqFDBsGCtX8pWv5CQm5sBpuB226yn8CQmsWMF116VkZrqVaocfw3alroQE\ni4XFi7n1VkdRUZZhNIk0w3alfgu5IurWW7n3XkpL3TZbTTDYaS6XL0JJCQ89xAUX5LlcedADy2C7\nUsV6LP7KlVx1VVZyshu64BewXamZmGPxb7wxMScnW6k2uAG2K3UtZCrF/Pncead19Ohsi6UhHG41\nl8sVYe5clixh2jS33X7c54scvEiEUaNYsYKLL86Pj881wwTblZoApKSwciXXXpuelpYNnfBT2K7U\nJWC32bjvPn7+c1dBQZZSLdAI25X6T/2n2jvu4O67mTAh22qtC4XazeVywmGmTtUpinOuYLQI+fms\nXMkVV7gTE3PgFPwKtmuEX4cJrr8+OTs7W6l2+E/YrtTVkGwY3Hsvt91mHzEiO+oK9MGNW25h4ULK\nytw228lA4FTsK1hMMf3j9I/k7nI1iT92rJ4OrxH+6V/+MtD08cdMm8bkyWzerBF+i2npP7cybdoQ\nyQ4q2urrY+ZMjh7F6QwoJZAZcauq9NQH4uMDhhGCFNMa2LyZmTOZODHC1NtN6/gHH1BRwZQp7NsX\n6QM4s5zTSWUlHo9m6hE5Y7W2MmsW7e3ExQWUCkN65IV79zJrFrm5mqnXCL+2Otavp7KSSZP45JOQ\nOYVfW4fff5+yMqZO5eRJHSZQ0csFg8ycye7dQwcXyY4sd/Ik551HIKAH9GuEX1uh7duZNYvx40lK\nCloswagrqP/oI6ZNo6yM7duxWgPnHDw1lWnT6OzEZjv3Crq7mTWLkycjV5ARcQ8d4rzzSEwkIUFf\nQWLsRzCmmP49PwBq+vuHv/ACSUns3l3n87VCCII7dwItwWDee+9x9Ch791b392uSXVuANT2dhQs5\nfrytq6tFpC3KslitatkyOjsHGhs1U28x3dNeb+bjjwMcOdJgDqPXVoPHU/znP7N+PTt21Ho8rTBo\nWu2h0OiPP6alhQMH6np7NcpyZidJSSxeTF1dV3u7rh+IWEFwLl9OX5+/pkZP4Y8s1zowkP/MM7hc\n7N9fHwi0gjKtZr8/88032bOHXbs0wt8d+X8SDo/fvJmBAaqqmru7zzm41enkvvtobe1tbo5M4ddu\nfyCQ8vDDBINy/HhjKNQaZdUODIz6059ITWXnTo3w+yObDAYLdSXDvn01/f26COHMcqmpLFpEdXX7\n31yBslgsDzzAqVOe+vomM9ag3S6PJ/uJJ7BYIimKWB9ATDH9A/WP7AN4SamJTqfuA6gNhTTJrnH1\nfJNk7/H56k2SPYKrX2K15jidg4FAo99/VOQEpJjW+YYxzOUaGkYvchB6THC+QqkxTqdNqXafL0Ky\na3B+DJQ6HAlW6ymfrzYY3A8dJq7uNkl2jfBrkj3VXO4LFkue0+kLhZpMkj3ZtGYpNcLlQqTV59Nj\n8SPgfCmMczqdFkuH11sTCu2FbjMxUATldnuyifAfhFbz4FlQYbXqPoBGv/8I1EQd/ALDKHS5gqFQ\ns893TOQInDazC9OVGu1yGdDm9Z4Mh3dDv9l2MB4mOp3xFkunz1drVjLoK8iFqTZbmi5CMK8gcvCL\ndYoi6goiB59jGEUuVzgcbvH5ToTDB6KuoByKXS59BTXmFcT6AGKK6X9F/4p9AF5vgtkH0BdFsvfE\nxa30eCLD6DvPJtlfCgZz+/v1MHodJjgGH4oAP1dqxMCAHkavwwRhWGQi/BM9Hj2MXocJRsJd+rdP\nQcGSxsYkn0+T7NFhgnqr9elAIDMQCEDr2ST7bqVeDoUKBgYwmwkCUAvviAD/qdTYwUEbnIZq0PWH\ni0yEv87rjYM+qINBOAVPiQDh1NTF3d2pfr/XDBNE+gCOGcbzwaC7vz8IbX8TJrhFqaKBASMqTOA1\nl9MIv91MUfgh37S+pVSD15sIA9Bw9hV0Op2P+nxpJsJ/TiXDq6FQXn9/GDrMMMFh+MQsQhg1MGCJ\nOrjFXO77StWYV1AL3lgfQEwx/WP1D6SARCQDKiMT56OH0T/+uNxxx1SYpvnxkpIqw7hdW9dcI6+9\nVuN0VpoI/5lh9IWFcuBAMCtrBsyBi2DQHEZfb7XKsWNSVjYDztPL5eaug/NhK8hHH8m3vz09gvCP\nGbNHqe/o97z7bnnwwb1W69BOJk8+abXeq605c+Tjj9sSEmaYCH9XXNwftZWaKseOSWHhDJgNF0Ew\nPf0dEJFjSsmBAzJnzpmOgcLCLSbqI6+8Ij/72TSYrpcbP/6QYQyhMj/6kTz77FG7fbqJ8DfY7Q9p\na/x42bGjPzV1hpmi6E1MfBlEpMvplBMnpLj4zMHNFMUekK1b5fLLKyMHHzlyRyRFsXKl3H33mSuY\nNOmYxXKnti6/XN56q97lqjQP3uZ0Pn52JUPkCrxmimKokmHq1MjBZ8QQoJhi+relgIAOka0im0UW\nRQ+jHz6cGTOCf/jD18ENP1cKGJuRMU+D84sXc++9m73e0XAVQ8Pop8LbmmRftOiT9vYSqIC/ZGa6\nzGH0BXfdxX/91979+8tho8jquDhycsY5HN+AyrlzEWl7662LYIvI7ywWEhKKk5K+BqSn8+1vs2LF\n5mBwGPwQ8PuHZ2fPhjeV4rHHNMleDBdDuL09LT+/TKl3leKJJ1ixYmNDQymMhxdSUiwFBeOt1kVK\njf7P/+Szz45u2zYFNoksczjIzBwbF3c1UFLCiBH9L754OSTDrwwDu704NfVSDc7ffjtLlmz2+0fC\ntUBfX35OTiW8pYsQFixYf/r0BJgBA01NiQUFkwzjXaXSHniA557bcexYGbjhSTNFsUKpyVdeSVtb\n/YcfzoItIvdYraSkFCcmXg3k53PRRTz++LcgF36qUxQZGRfq0MYDD7BgwSaPZyx8FTh1Kisvr0Kp\nd5TimWe4776P29pKoAxezchwFBZOtFh+r9Sw3/yGNWsO7NlTDptEPhLZEvvHn5hi+nd+Aojot3oY\nfWqquN0em20brDVJ9m/BycRESUiQvDxxuQ7CboslgvBv1cPo8/IkMVEPo7/DtN7Qw+hzciQtTQ+j\nX21+vV0FMmKEZGZKVlaP1fop/AX+A0TkFujKyJDkZMnJCTgcu+DTKJL9cFxcOC5O8vIkLq4KjkSR\n7J/oPoC8PElOrlfqVbjXDAm/CDJunLjdkp7eaRjvw9PwbRCRRRAsKJD0dMnOHrDZNsPbZh/ADdCU\nkiKJiZKbG3Y698H2qDDBLt0HkJcXSVH80rTeNQwpLZXc3EiK4kEzJDyUosjKksxMnaKIVDL8Gvrc\nbklNlZwcnaKIVDJ8FU4kJEh8vL6CQ2dXMgylKPLyJClJpygilQyv6RRFTo5OUbwTVckQU0wx/bs/\nAUS0UMSlp4Hecotz2LAsw2iFZtil1K1QoBR33MGCBUycmGW11odC7bBLqV0a4Z86lQcfZM6cXKcz\nD/pNa6wIBQU8/DBf/Wp2UpIbTsNvYJdG+HWY4Ic/TMrOzlKqA34Ku5S6FtKsVhYt4te/to4cmWUY\nzSIt5nvmiahbbmHxYqZMybbbTwYCPaZVJMKECaxYwbx5eXFxudAH98EujfBnZbFqFd/8pkb4u+CX\nsEupi8GiwwQ/+1lcXl6WUm3QALuUuhFyDYO77uL3v1fFxVkWS0M43B61E2bPZtkyZsxwOxz5UQcf\nLcLIkaxaFUlR9MDvYZdG+HWY4PvfT8nMzDY7EnYpdQ0k6DDBL3+pUxQtIvoKfgf5wK9/rVMU2TZb\nXTDYYS5XIEJ5OQ89xPnnn3MF40TIy2PVqkiK4jS8GvviH1NMnw99XubvblOqct48pk1j3z49oD8M\nWTDlsssAjh2jspJwmLg4zY+nmlZgyxYqKxk7VqPlQbCbVu0HHzBlCiUleix+AIzIG+oPgPJyOjo0\nyU601dnJ9OnU1eFw+JUKQ0bE3b+fykpSUjTdH4J40+pev55p0xg3jqSkgMWiZ99rq2rNGsrKmDyZ\ngwexWgNKGSJnltOfYcGgDhOIiDuyXF0dlZX09uJyBcw+gCHrs8+orGTECB1rCILTtFo++oiKCiZM\nYN06sVg0wn9mucxMysupq8Nm030AZ6y+PqZN4/BhfXCdohhyq6qorMRqxeXSB08xLc+mTUyfztix\nJCYGLJYA2Eyreu1aysuZNIkdOyJXcLVSr8U+A2KKKfYBEFE7cPQo991HW1tvU1ME4fdt3w70BwLp\nq1cTDEpUH4C26gYGxvzpT7z3XnQfgLZag8GitWs5eZIDB06aw+i1BThSUli4kJqa9s7OZpG2KEsZ\nhn3ZMrq7PXV1zeFwa9RyXR5P7hNPYLNx8GBDIBBtNfh8Ka+9xubN7N5d4/G0QH9kJ+Fw8fr1dHZy\n+HBDd3fr2cs54uNZvJimplNRfQDa9YfDiStW4PUGq6sbg8Ho5Zr7+4c/+ywJCezZU+f3t0LYtJoC\ngZx33uHgQfbti/QBnFkuI4N77+X48RYT4T9j2e0sXUpHR5+ZoojspNfvz3zkEd0H0BAMtkZZdYOD\nxS+/zIcfsnNnrdfbCt6oKxipKxkOHqzt7dUYlS32YxdTTJ8P/SNzANFaoNQMwxjmdAb0FH6Rw9Bt\n8uPTlRrtdFqgzefTJPuAOXF+PEx0OIaG0YdCmmTXo/bzNMlut/f6/Q0myR7B1S+2WHKdTm8w2GSS\n7JFU6hylinQfgN9fHQ4fgF5z6H85FDuddsPo8Pl0H0CfCc6Pgsl2e5LNdtrnqwsGD0C7Cc67YarV\nmulw9AcCug+gLmon8wwj3+XyB4PNfr8OE5wyEf6ZSo10OhW0+XzV4fBe6DezCyUwwel0GUanz1dr\nhgn0wQthis2WqosQAoGD0BKVGPiSxZLtdHoCgcZAoErkJCSZ1lzDGOZ0hs6+gnwApio1xum0KtVu\nhgkGzOxCMUxyOOKt1lM+X10wuB86zeyCDhOk2+19fn99IHAYGqEG1sSeAGKK6f+j/tVyANG6W+Tn\nSo0YHFRwCmohBH5YYvLjJR5PpA8gAEWRYfTFxUuOHk3w+QZNkr3HJNk7nM7VPl9kGH1nFMm+S5Ps\nAwN6GL0OE5yA90WAHys1enBQ9wGchDC4zJ18V6karzfSB+CDCXC73onbvbCtLdnv95pj8SN9ADUW\ny9PBYFYwqBH+6DAB8EulCgcGFHSaY/E95nI/UGq8x2OHbnNAf7ZpfVupeq833kxRDMBp8+CexMT7\n+/vTAgHdBxAdJjis1AuhUM7AgO4D0GGCavPgNyk1YnDQYoYJdIoicgU6RdFrhglGRVIUI0cuPnky\n0efzQAP0nl3J8HggkBkI+EFniT2x3/4xxfT50eeEAtIqhukwB2TKlH5zGH2nJtnHjZseIdndbj2M\nfjfIli1yxRVTYWjU/qhRZ4bRL18u8+eXw1QNzpeWnrBY7tLWV74ib7/d4HJNM0n2DpfrKW3l5Mjh\nw5KTM91E+P2pqW+CiNQYhibZp0cQ/oKCjXCJfuG778p111VEEP5x4w6Ys0jl9ttl9eoDVuvQTsrK\n6my2+7U1bZps3NiVlDTdRPi74+P/BCLiS0yU48dlxIgzB8/MXAsicgRk716ZN29a5ODDh2+HK/V7\nPvus3HrrlAjCP3FilWEMTVr97nflpZdOOByRg59JUYwcqSsZhq6gvHwwOfm1SCXD8eNSUnLm4Lm5\n6+AC2K4rGa6+empk6P+YMXuUula/5333yeLFuy0WffC5Mf4npphiFND/nY6IbBOZDn2NjfGFhSWG\nsVap9Pvv5/nndxw9OgU2ijwWH69J9tVKlV1xBR0dDR98cD5sEZlvtZKUNDSMPi+PL36Rxx//LuTD\njxkaRj9XJwYefFCT7OPgK0BnZ0Z+/hSl1pgk+yetrZOhFF5KS7MVFk6wWBYoVfTrX/P++wf27KmA\nTSIPOZ1kZRW7XFcDM2eSkND1+utfAgW/NgyczuLU1C9rcP6GG3jwwc3B4Aj4PjA4WOh2z4R3leKp\np7j77g29vRPgfPC1tCQXFpYq9b5S9kce4ZFHttTWlsNweDopifz8cTbbA0oVX3cdBw+e2LhxGmwR\nWWyzkZZWrFMUY8YwaZL32WevgQydojAMnaJ4UynuvptFizb7fGPgas6kKN7TKYp7713X2TkJpkJ3\nQ4PLvAL3okW8+uruw4d1dkGnKIodjmtg2iWX0N/f/N57F8JWkbuiUhSvK8UVV7B69aZQqBA+EVkX\n++4fU0yxJ4D/Vw0No8/Lk7Q0PYz+Ifhq9DD67GzJzu6xWtfBSybJ/ivoycqStDTJMOHRYgAAIABJ\nREFUzfXb7TvgI5NkF5Gj8fGSkCAFBRIXd+Rskv1Tq1XKy6WgQJKT65R6GX5vWq+ATJggubmSkdFh\nGO/BYybJfj9IYaFkZorb3W+1boK/wvUgIj+B1rQ0SU6WvLyQ07kXNkWFCfY6nSGXSwoKJCHhGPwB\nImGC9w1DJk+W/HxJTW1S6nVYApeCiDwDMnas5ORIZuYpi+UjeBZ0XPl34MnNlfR0yc312u3b4D0z\nRfFtqElMlMREyc/XKYqdUX0AQymKgoJIiuL2c1IUeXmRFEWkkuFhnaLIzpbs7F6rdT28YvYB/BJO\nZWZKaqrk5ekURaSSIaaYYoo9AfwvaSwwahQPP8xll7kTE93QC/Nhn0b4U1N5+GH+4z+SMjOzlNJM\n/T6lvgNJDgf33cdtt9mGD88yjFaRVtin1D6lCnWYduFCJk/Ostnqg8Eu0yoSYcoUli/nggtyXK5c\nGDCtifphYvVqrr46IyUlG7rhTtin1BeBxERWrODHP47Pzc1UqgN+DvuU+hFkW63cey+//a0xZkym\nxdIs0h7ZCRg338zSpUybphH+QdMaBYwfz6pVXHJJbkKCG/pgCexTqhTIzOThh/nOd1LT07PMAf37\nlLoanDpMcPPNjoKCLMNoh2bYp9TtMMxi4Xe/i6QoGkKhDnO5Av3s8uCDzJ6d43DkRu1knAjDh0dS\nFNnQC3fBPqVmA8nJrFzJD36QmJWlr+AXsE+p70GqzcaSJdx+u3XEiEzzCmKKKabPoayfz23FOxyU\nlVFczLp1WCyaHy+9/PIhOzWVkhJqa7Fa/UC01d3NlCkcPRqN8A+5hw4xdSoOB06nX6kgJJvWwIYN\nVFQwapRm6gNgNa3ja9YweTLjx0fG4qvo5axWJk/m9GlsNr9SInLGamqiooK2Nr2TEKRFXrhrF1On\nkpODy6V34jStjo8/prycMWN0VYCuH9DWoXffpaSEiRM5fBir1a8U0ct5vZSVsWcPdrsfwpAZWe74\ncaZOxe+P7CTVtEJbtlBRwYgRxMX5LRZdP6Ct+rVrKStj3Dg2bPhvriAxkdJSmpqw2fwg0VZXF1Om\ncPJkZLmM2M9ZTDHFPgD+19UUCOS98w6HDrF//4n+/hboAs+WLdp1ZWRwzz1UV2uSvTXKstvtlvvu\no6urr6GhyUT4tdvr92c/8ghKceRIg8nUa6vO4xn/8st89BG7d9d4va3gMa3WUGj0hx/S0MDhw7U9\nPboP4MxOkpK4914aGjra2nQfQMQKKxX/wAMMDHhPnmwKhaKX6/B4Cp96CqeTffvq/X7dB6CtRp8v\n84032LGDvXurBwdboMe0WsLhCRs30t3NsWONp09rhP/MTlwuliyhtbW7uVkf3Gq6nlAobeVKgsHQ\nsWPnHLyxv3/088+TksKuXRrhD5hWczBYqCsZDh6s7uvTA0HPLJeWxj33UFPT2tl5zk4sVqt96VK6\nu/vr6prMPEdMMcX0OdTnJQdwjlYrNdVmS7HZev3++mDwELREcfpftljcDocnGGwMBI6KnIR407rA\nMIY5nUPD6E2SXc++nwa6D6AjKkygwflxMMluT7BaT/n9GuHvNDn9PJhqtabb7f2BQINJsieYy11s\nGLoPQCP8xyHOtGYrNcLpRKTN7z9hhgl0dqEcxjkcDoul0+fTfQC9ZmJgJJTZ7clWa7ffXx8MHoQ2\nk9PPgQqrNctuHwgGm8wwQeTg8wyjwOkMhkItfv8xkSo4bdYPzFBqtNNpQLvPdzIc3gMD5rfyEpjg\ncMRbLF0+n65kOG0mBgpgqs2WarP1BgI6RdEcdQVfslhyHA5PMNgUCBwVqY7ayVylipzOsC5CEDkE\nPfB87M+/McX0v6d/5RzAOXoNOgKB9CiSfTCKZH82FModHAybJLsfjpjD6H+i1KjBQQNOmyS7Fe43\nEf6JXq/LJNkDUAx36l9Mw4cvrK1N8vs9ZpggQrI32e2PBQKZwWDAJNkjCP8WpV4LhwsGB4FOaIQA\n1MNbIsAPlSr2eGwmwq8rIe83Ef5any8O+qEOPDAFbtY7ychY0NUV6QOIDhOcMIyng0F3MBiEdmg9\nuw/gJqWGDw7qPgAdJgiYy31PqRKPxw69ZphgGNyrXzhp0qIDByJ9AANnVzI86PFkBAI+0E9gkSvY\nr9QLoVDe4KDuA2iGAJyAtWYRwmiPxxqV5/hT7Ld/TDF9PvX5pIBEREFZBOEvKTkzjP4735FXXql2\nOCpMcP7MMPoRI2TvXl9GxlSYDVJeHhlG32SzaZK9AmZqXD0v71O4CLaBrF8v11wzBYZG7Y8du08p\nPRxUFi+WJUt2WywVGmOfPLnGal2srXnzZO3a5vj4CjO7cCou7jltZWRIVZXk50+F8+BCCGdkvAci\nckIpOXxYZs6siCD8RUVb4XL9wr/+VW68sQym6Z1MmHDYMH6hrZtukqeeOmKzTdE7KS9vsttXaqu0\nVLZt60lJmRpJUSQmvgoi0hsXJydOyJgxU2GWXs5MURwA2bFDLr10SgThj05RPPaY3HnnNsMYuoJJ\nk86kKK6+Wl5/vdbpjFxBu9P5VFQlQygrS1/BhTH+J6aYYhTQ/w+FRXaLfCbyM6UAPYz+XaWYP5+F\nCzf5fMVwJWeG0X8QRbJPhnLoqq/Xw+g/Uip34UL+/Ofdhw9Pg80iq1wu3O5ip/PrMP3ii/F4mt99\ndx5s030AcXHFyclXwH8pxde+pkn2YfADwOcrcrvPgzVK8fDDzJ+/aWBgInwBgm1tqYWFk5X6UCn+\n8AcefHB9U1M5jIXnkpNVQcF4q/U+pUbefDMbNhzZsaMStogstdtJTy+Oj78aKC/H7e555ZUrIQFu\nVQqrdVxa2sU6u3DzzSxduikQGAPfAnp7c3Nzp8NanV2YP//T7u5JUGmmKCYZxkdKJa5YwVNPbTtx\nogIS4fH4eHJzi+32h5Wa+I1vUFtbu27dbNgqssBqJTlZ9wH8VSlmzQo+9dSmcDhHpyhCoZFZWefr\nK1iyhHvv3eT1jofLgc7OzIKCKfoK/vhHFi36uL29DDaIfBz77h9TTLEngP8dXamH0SclSWGhxMUd\nOptk32S1+pxOKSyU5ORapV6MItmHhtHn50tGRrthvAsrTZJ9OUhRkbjdkpPTZ7VugFdNkv3n0JGe\nLmlpUlAQcjh2w7ookv2AyyXx8VJYKAkJR+FJiIQJPjIMKSuTwkJJTW1Q6i+wwMy+Pg9SXCx5eZKV\n1WWxfABPwjdBRBaAPy9PsrIkN9djs22FN+EHICL/AfXJyZKcLAUF4nLth61RfQCf2e1Bl0uGDZPE\nxGqlnoObTettnaIoKIikKO6Hy0BEHgMZNUpyciIpihfguyAit+kURUaG5Of7HY4dsBbOSlEkJuor\nOAJ7oioZNugURWFhJEVxR+yLf0wxxZ4A/o/oryLDNcl+zz2UlGRZrU2hUCccUuqQUkVK2W+4geXL\nmTPH7XTmgNe0JogwYgSPPMKVV2YmJ2dBH9wDh5T6ApCayqpV3HBDgtudqVQX/AoOKfUjyHA4WLKE\n3/zGGDUq02JpFWmPWo7bbuO++5gyJctuz4c+0xoJTJ7MqlXMm5cbF+eGAVgNhzTCn5fHI4/wzW+m\npaZmQQ/8Dg4pdRXYEhNZvpybbnLm52cq1QnNcEgXIVit3HMPd9/NuHFZVmtzONwRtRPLz37GAw8w\nc2a2w5EbdfCxQHExq1dz2WXuhIRs6IclcEgj/BkZrF7NddclZWZmKnUafg2HlPo+JLlc3H8/t95q\nKyrKNAz9lwb9nsMtFu68k4ULKS3NtNkaoq8AqKxkxQrmzs1xuXLAE/tiFVNM/wyyfv63+IZSV44d\nS1kZ4TAOh88wgpACE664AvBv2kRZGcOG4XL5DUNP4ddW7fvvM2kSo0eTkIBh+EGZFkBcHBMm0Nio\nwwQSbbW1UVpKXZ1m6jXCP+Tu3UtZGSkpGnIPQpxpdX/yCWVlDB9OfHzAnMKvrSPvvsvEiYwdy86d\nWCwa4T+zXCjExIn09WG1+pQKi2RFlqupYfJkenux231KBSE1Ym3bRlkZBQU61hAAu2k1f/ABpaWM\nHEl8fNhi8YMRfbr0dMaN4+hRLJZzD97Tw6RJHDmiYw0a4R9yDx+mrAyLJXLwyBV4Nmxg8mSGDSMu\nzm8YgdjA55hiin0A/J9SD3S0tWWuXEkoFKqqaggEWsAC/Zs2AY39/cUvvEBqqkb4NRSkreZAoGjN\nGo4d49AhTbK3mxaQkJrKggXU1bV2dDSLtEZZFqvVdf/99PT019Y2mmEC7Xb7fPmPPab7AOoDgRYw\nTKve603585/ZsCGC8PebVmsoNO6TT2ht5ejRup6ec5ZLSEhg4UKamztbW5tNhF+7QUh56CG8Xt+J\nE5E+AG21DQ6OfOYZEhLYvVv3AYhpNfn9uW++yb59kRTFqejlMjNZsIDq6qZTp87ZicvhsCxZQldX\nT2NjJLug3YFgMPvhhxEJR6Uohg4+ODj+xRd5/3327NFX4IVLlHo/9geAmGL6fOtzmgM4R6+bfQDt\nfv/JcHgvDJjgfAmU2O1xFsspv7/OJNk1rj4MKqzWNLu9z+9vCAY1yR7h9L9sseQ4HN5gsNkk2Z2m\ndYFSRU6niLT6fNUmya6H/k+DsQ6H3TA6fb6acHg39JvgfDGU2u1JVutpv78+GDwAHWZiIB8qrNZM\nu70/EGgMBI5AA7jM5S42jHyHIxAON/v9x0WOQZdZPzBbqZEOh4J2v786HN4PfWZ2oQzGOxwuw+jy\n+3UfQI+ZGBgOFTZbis3W4/c3BIMHoTWK07/MYsnWCL/fXwW1UQefp1Sh0xkKh1v9/uMiR6DbzC7M\ngNFOp9VMUeyJuoKJUGK3x1utp32+ulBoP3SZLGlMMcX0f0r/RjmAc/8VCEq8XkcUyT4K7ta/YiZO\nvPfQoaQokj3SB9AdF/eAx5MRDOo+AB0m+IsIsE+p50Kh/MFB3Qegnxt64V0R4Aalxng8VjNMEIYk\neNBE+Et8Phf0Qy34oRRu1TvJz1/Q1JTi93ug8ewwQb3V+lgwmB0MBqPCBJFq3J8rNczjUdBlhgn8\n5nLfV2qC1xvpAxDIg/v0C2fOXLR1awL0Qz14YAb8WAQIpqTc09MT6QPohgEzTHBUqT+YKQrdTOCD\nNlhnFiGM9HgscMoME1jNnXxHqYleb6QPIAjF8Fu9k7Fj7z12LMnvH4y6gphiiumfQJ9/CkgrG8ph\npmbSc3PXwYWwH+Szz+RLXyqLIPzRw+gffVR++9vthjGE8JeWVlut92jrqqvkr3+tdTrLTXC+0+V6\nRlsFBXLgQDg7ewqcBzJ5cjAt7W0QkTqrVY4dk/Lycpihlyss3Axfhp0gH3wg1147GYZG7Y8ff9Aw\nhlCZ3/9eHnpon9VarsH58vIGm+1BbZ13nqxb156YWK6zC1Om9CYkvAQiEk5JkWPHZNiwKTBLL5ed\n/QGIyFGl5MABmTu3DCq1NXLkDrhKv+dLL8nPf75Rqal6JyUlxyyWITLnhz+U5547ZreXmQh/q8Px\nmLaKi2XnzoG0tPKoFMVfQUQ6HA45cULGjz9zBXl5n8KFEKlkmGxewcwYAhRTTP8kFJD1n+WDqtX8\nvlwVH09OTnFX11U+X8k111BfX/vJJ3PhIZFPrdahYfQ9PW8pdfn+/aF58zaGw7kanA8ERmRlzWlu\nXqvUxceO8fWvb/J6J8J4kI6O9IKCsuPHP1bqoo8+YvHij9rapoABLXV1OcOGTejtXafUBfPn89Zb\n+/bvnwGrRfY6nWRmFnd2Xj04OGXOHCyW9jff/DIsFHnfYsFuH5eaemlX17tKffnYMebN2xQMjoKL\ngf7+/NzcGXV1Hyr1hYMH+clPNvb1lYIbBpubEwsLS6uqPlHqwldeYeXKjfX1U+E0LElMJC9v3OnT\ny5W65cYb2bnz2JYts+Bhka12OykpYxMTr+7rY8IEnntu4Kc/3SCSBjdGUhRtbWuUuvTECb7ylU1+\n/3iYBpw6lZ2fX1Fd/ZFS87ZtY8GC9adOlUMCnKqvTyssnNjXt06pC1au5Pnnd1RVVcIjIofj4nC7\ni7u6vu71ll1+ua5kmAfLYv/sE1NMsSeA/4kngIiGhtHn5UlOTq/V+mkUyT40jD4jQwoKgg7HLvgg\nimQ/HBcnSUlSVCTx8VXweBTCv85ikfJyKSqSlJR6pV6FO03rJZDx46WgQLKyOi2W92E1XAMisgRC\nBQXidkte3qDNthleA50fvhGaUlIkLU2GDROXax98GtUHsNvhkPh4KSqSxMQT8ExUH8B7ug9g2DBJ\nS2s2jDdgIXwRROQpkNGjJT9f3O5ui+VjeBq+DSLyG+h3uyUrS/LzfXb7Z/AO/BBE5CqoTkiQ5GQp\nKtIpiu2GEUlRbLZagy6XFBVFUhS3mtbrOkVRWKhTFO9EVTKsABk+XHJzJTdXpyhegu/HvvjHFFMs\nB/A/rWlAVharV3P99YlZWRlK6QH9VUrdAKlxcTzwALffbhkxIsMw2qENqpSqUmqkJtkXL2by5Eyb\nLQ9ORSylqKxk5UouvDDH5XKDz7RKgaIiHn2Ua65JT0nJhH64B6qU+ioYupngxz925eZmKHUKbocq\npX4BuQ4Hixfz298yZkyGxdIm0mG+5wjD4Je/ZNkypk3LcjjywGNaY4FJk1i9mksvzYmPzwYPrIQq\npSqA3FweeYTvfCc5IyMTeuH3UKXU9yE+IYHly7nlFnthYYZhdEIrVCm1EEbYbNx9t+4DyLRaW8Lh\nTnO54YZh+fGPWb6c2bOznc4c8JvWBGDMGB59lK9+NTMpKQsGYAlUKXUxkJ7O6tX88IcJ2dkZSp2G\nutiXqZhi+meT9Z9ux07DYOxYRo+mqipCshd/9auRv5QzfjxHj2qmPgTpEffAAUpKsNsjTH2SaQ2s\nX09JCfn5OJ0+w/CDxbSOv/suEyboifk6TED0cnozLS2a7g+LnLEaGpgwgfZ2zdRrhH/I3bGDSZNw\nu3E4fCbCr62ODz+kpITCQlyugGFohF9bh95+m3HjGDWKPXswDF0/cGa5wUHGjcPjwWr1QQgyI8sd\nPUpJCYEANpteLsW0gps2UVJCbq6m+/1gNa36NWuYOJGiov/+4PHxjBlDdXXkCvJjP0wxxRT7APif\nVnM4PGnrVubPp6amqatLk+w9GzZo12W325cs4dSpnqg+AO0OBIO5Dz+MUuHDhxuCwZYoq2FwcOKL\nL/LBB+zdq0l2j2m1hEKj166lpoaqqpO9vS0QvVxyUhL33ENjY1t7u14uYinDSFq2jIGBwZMnG0ym\nXrunvN7hTzyh+wDq/H4dJtBWvc+X+dprbN3KgQMnzD4AbTWHwxM+/ZSuLo4frz99+pyDJ8XFqYUL\naW8/ZfYBRJbzh8OZK1YQDPqj+gC01To4OPa550hOZs+eGp+vBQKm1RQMFr7zDocPc+jQ8f7+FuiM\nPnhaGvPnU1fX3Nmpd2KN/TDFFNM/m/45cgDRul+pCovFbbd7gsHmQECT7JHo6ReUKnQ4wiKtfv8J\nk2TXs+9nwhiHw6pUh99fY5LsGpyfCJNstgSr9bTfXxcKHYAuMzGgwwTpNlt/INAYDB6GJnCYy33Z\nMHIdDn8o1BwIHBM5EbWTC5Qa7nAg0u7367H4kaH/U3UfgGF0+Xw14fBe6DMTA2Og3GZLslp7AgHd\nB9Bhcvr5UGGxZNntg8FgUyBwBOrBbi53sWEUOBzBUKg1EDgmcgxOQRYAs2GU02lAh99/MhzeB/1m\n28FkmGimKHQfQLeZGBgOFVZrqs3WFwjoFEVr1MEvM4wch8MbCjX5/UehBtrgtdgfgWOK6X9M/745\ngGjdLnKrUrkejx5Gr0n2U/CBCPAjpUZ7vRGSPQQuWGEi/BN9Pt0HUAtBmAi/1r+zxoxZcPx4UiDg\niSLZ3xQB2hyOFX5/ZjAY/JswwU6lng+HCz0eoNMci++FN0SA65Qa5/XqPoBaCIMbHtDLXXLJwrVr\n480+AD9MhZu0lZ19V3t7aiCg+wB6oR/+KgLUWCyPhkI5Hk8I2v4mTPATpYZ7PIYZJghC2Dz4tUrp\nFEWPGSY4k6KYMuWe3bsTYdAME5wPPxABBhMSFg0M6BRFJEygf8UfUuoP4XC+xyPQbl5B7Ld/TDH9\n8+mfjgLSGgOTTYS/3el8Uh9k7FjZtWswLW2yRvjLyvypqW+CiLSbJPtkmKHp+Pz8jXAx7ALZvFm+\n+tVJEYS/uHi/Ujfo93zwQbnnnp0WyxDCX1ZWZ7Mt1daXviTvvNMYFzfZRPi74+Nf0FZ2thw+LLm5\nk2EWyKRJkpn5PojIScOQqiqZPr0UKvVyw4dvhyv1C99+W66/vgSGEP6JE6sM41fa+tWv5JFHDtps\nZebBmx2O1dqqqJBNm04lJQ0dvLx8MCnpLyAinoQEOX5cRo6cDDP1e+bkfAJfhMMgu3fLF74wCaZr\na/To3Up9S7/nM8/Ir361xTCm6IOXllZbLAu0de21upKhFOZoN6aYYopRQH83HRXZI3IF0NWlh9Gv\n030ACxasO3WqAsqgo67OVlg4wWLZoFTm0qX86U87q6pmwhaRVU4n2dnFLtfVUH7ZZXR1Na5dezFs\nF7nTMHC5ilNSLoP3lOLSS3nsMd0HcD0wOFjods+Cj5Ri+XIWLNg4OFgKF4KvtTW5sHCyUp/qAf33\n3/9JS8t0GAX1tbXk54+z2TYoNfy22/jww4O7dp0HW0WW2mykpY1NSLgKqKwkOfnUa699DRxwi1IY\nxtj09C/oof833siDD24OBMbCN4Du7pzc3Knwia4fuPvuDb295VAJPY2NrsLCEsP4VCnn6tU89tiW\nmpoZsFnk8bg4cnPHORxXwLjvfY+qquoNG86HbSLzLRYSE4uTkq6Cd5SirMz37LMbw2G37gMIBEZk\nZ8+BD5ViwQIWLtzs85XApyLrY9/9Y4op9gTw93wCiGiDJtlHjJCUFD2MPkKyvwoyYYIUFUlWVodh\nvAfLTZJ9GciwYZKXJ3l5AzbbpiiS/afQlpYmmZlSVCRO5174KKoPYJ/TKYmJMmKEJCYehz9EhQnW\n6j6AESMkLa1JqdfhLpgOIvJHkLFjZdgwcbtPWywfwuPwDRCR34MnN1dycqSgwGe3b4M34HoQkf+r\nvXsPjrK+9zj+/u01JISEXIBwDWGTQCBBBFGsFuWgrdWq1bZqj54Z5/RmbbU9087YehlbUcRaBkHw\nUtsej63a1noXLQIKgop3CBBMSEhCyIXcbyS7z+7+zh+Pzzba6jhz8LTo5/XvN7vP8yST/Ww23+/z\nvRTqx4yxOTl2+nSbnr4bthmT2gfwajBoMzJsUZHNyqoz5oERwwSPu/sApk+3eXltPt+TcCt8Cay1\nd7pTFFOm2IkT+wKBF+F+uNSboujOz7fjxtlp09wpimfhW95zVqWn26wsW1RkR4/eB3fB9/TGX0R/\nAfxzzTDGf8UVrFrF4sXj09ImQBxqjKkxZq4xlJaybh0XXJCXlZUPg3Ab1BhzHpCfz9q1fPvb6RMm\n5BrTC9dCjTFXw7j0dG67jZ/+lEgk1+9vt7bde85IIMA117BiBfPn54dCE2HAK5UawwknsGYNZ55Z\nkJExDqLwANS4LfzTprFuHZdckp2T4w4T3AQ1xlwGadnZrF7ND34QmjzZHSZohRpjboBp4TDLlrn7\nAPICgTZrO1Jn4vdz9dWsXOnuAxh54bOBOXNYu5Yvf3lcZuY4GIJVUGPMmUBBAevWcfnlmfn5ecb0\nwg1QY8x3IXv0aFau5Mc/9k+fnuvzdcBh7zmLg0Guv56bb2bu3DxvikJEjmnHfPNe3pgxlJUxfjzB\nYKqFv/grXwHq169n1iymTCEcTnWyuyWAcJiiImpq8PmikBxZammhpITGxlRPfU6q+tZblJWRlUUw\nOGyMA6O8Us/GjZSVMWGCO2fgtvC7paqnnmLmTHdpgXs4O/JwsRgzZtDejt8fNSZh7bhUtbaWmTPp\n6yMQGHbvDp0qvfwyZWXk56fOJOiVmp97jrIyJk0iHE54ixD+drjsbAoL2bkTv/+DZ9LdTUkJe/e+\ndyaQm6pWVjJrFn6/O2AR9/qIREQB8E+zf2Cg7P77yc5m587UPoCuF14Amhyn8JlnqKqiqqqmv78Z\n2r0SkON2sjc2Nre3N1vbMqIUDgYzbr2Vvr6++vqmZNLt03erA44zde1agkFbWZnaB+CWGoeHj3v4\nYV54gcrK2qEhdx+AW2pOJGZt2kRTEzU1B3p6mt2GotSZZGZy0020tBxuaUm18L9XNSbn9tuJRof2\n729KJFpGlDqj0eL77iMjg50762OxZrBe6WAsNvGxx3jzTbeFvxm6Rh4uP5/eXg4cONjZ+YELH52W\nFrr5Zjo7u5uaPnC4aDJZsHo11sarqlIXLiLHtGNvDuADfmvMnGAw3e/vdpwGr5PdbZyfAfMDgZxg\nsN9xmrxO9lTinevzFYTDUXcfABwY8Yp2hjHTwmFrbVssVmvtXuj1bvq/CEpDoZDP1xGL1SeTb8ER\nb2JgNhwXDGYGAj2xWKM3TOD26RfCfL8/PxQadJymeLwKmkacydk+36RQyEkmWxynxtoa6PTWD5xu\nTFEo5HP3AVhbCQPetoMFUBYKjfL5umKx+mTyHejzdgwUw/xAIDsY7HMcdx/A4REDCuf7/eNDoeF4\n/JDj7IMG8HulL7hTFMlkq+PUWPsudEMO4A4ThMNBY1LDBIPwW/37V+T/i+YA/oEnoNFxxjiO28k+\nDN3wlPfC9FNj8uJxx+tkPzKik/3eZHLy0BDQDq0Qg0HvgZcbUzo8HIRub5ggF1a7z3nRRcv+9Kd0\n6PeGCebDD91SYeENDQ3ZjjMEh2AA+uBxa4GmYPCOeHzC0JC7D6AThuFP1gKvGPNAMjl9eBjo9IYJ\nErDGa+GfE42GoBcOgIVCWOYe7rTTfrFly2gYhAaIwqnwbbeUm3ttV1eO18LfO2KYoMbnuyuRcKco\nDsNhb4rieW8RQsSbonCHCR70vpOXGDMnGk2DfjgASWjWb6TIse5Y7wKy1gZ2NeCRAAAO4klEQVRh\nDiyExbDw765oJrx30//jjjsQCNzsfsEll9g//rEuHK7wWvi70tP/2y1Nn2537ozl51e4Lfxz5yby\n8p4Ba21TMGhrauzcueWpFv5p016Bc2E72BdesBddNBtOcFvjZ8/e6/Nd7T7nsmV2xYq3/f73WviP\nP74pFFrllpYssRs2tGRkVLgt/PPn92dm/tEt5ebad9+1U6ZUuDfZnzPHTpiwEay1NcbYPXvsKaeU\nw4nu4SKRN4xxb1NqH3nEXnHFFmPea+GvqKjx+69zS1deae+7ryoYnOtd+N+mKMrL7Y4dfdnZ7oX/\nfXf/GKjwpigq1AIkcux3AX0a7uAS+8gPIqqsBf5gDNFo4fjxpxw6tNmYJTU1XHDBtmh0LpRCoq1t\n7JQp86qrtxrz+S1bWLZsc3v7iQAcamiYVFhY1tOz3ZjPLV/OI4+8vXv3qbDW2jfDYfLyStvbLzxy\n5OSlS4lGW55++suw3Nr1Ph+BwMycnC90dGww5sx9+1i6dFsiMQPOBPr7J02ceGJ9/YvGnLZ3L9/8\n5rbBweNhPAw0NY2eOrW8qmqbMac8+ii/+tWWpqaT4RDsr6+PlJTM6urabsznrrqK7durduxYDGus\n3R4MkpU1MzPza319zxhz9iuv9D300FZrs+G7xpBMRvLzT29t3WjM0v37Oeus7Y4zGxYAnZ35kyfP\nr63dYszi11/nhhu29PQshF//o29prz7wEfl0+azcwuvfrd2Tnj47HP58JEJbW3Vx8RZ4B/7HWmBT\nILA4FKqYMYOurkOnnfaKtW94eyV/b8yl0WjhlCmFQ0Pd1133RiKxD9oAeDYWm9vWNjYn5z/y8qJb\nt769ceNBaAXgUWsr6usnh0JnFRXR2lo5c2anMbtT95AIhxeEwydFIrS3182e/ZK1b8DvrAWe9vnO\nmTBh1vTp9Pa2fvWrO5LJXfAubLb2HmMifX0TCwomOk7funVvxeP7oROAJ+PxiqamzIyMr+XkxFta\n3li0qAXqYaO1Zxoz98CB4nB4yYwZtLbui0Q2w274g7XAtmDwlHD4+Bkz6OxsXLjwZWt3fMirv4h8\n+nyGWjlKQyGuv97dB5AXDE50F+0aU2dMiTGBb32L1atZsmR8evo4iHul+UBxMXffzde/PjY7Ow+O\nwG1QZ8w3IJCXx513csUV4YkTc43pgeuhzpifweT0dG69leuuc/cBtFvbmTpcIMBPfsLtt7NwYX4o\nVADDXmm2Mcyfz9q1nHXWBG+Y4D6oM+YkYOpU7r6byy4bk5ubCwOwDOqM+Q5kZmdzxx388IeBqVNz\nfb5uaIc6Y+6G4nCYX/yCm26ivDw3EHBb+N3DFft8XHklq1Zx6qnj0tLGQ0K/EyL6C+BTeKl5eRQX\nEwq5Te4xGANFF1wADG7eTGkpeXkEAsNeC79bqnnqKYqLKSggGEy18Lsl918oTJvGgQP4fMOQGFmq\nrycSoa0Nv3/Y2wfwXnXHDkpKyM52e+pjEPRK7X/9K6WljBtHMBjz+aJgvNLuJ54gEnG7+/H5osYk\nrf3b4fr7mT6dnh73TOKQmzpcVRXFxcRi+HzuxECWV4pv3UppKTk5qTPx63dCRAHwKXO3MedkZk5e\nvRpjnL17G7xO9o5Nm4DmoaGK3/+eZ5+lsrJuaKgZhr3SIXcfQG0t1dX7e3sPQatXAvKysrjxRpqb\nW9raDlnbMqIUCASyV6xgcLC/ru5gIjHycL2OM+Puu919APXePgC31BCN5v/5z2zfzp49+wcHm6Ev\ndSbJ5JwtWzh8mLq6+u7uQ9aOPJPsjIzATTfR3t7R3HwomXRb+N1qAsavXEk8PlxdnVqE4Jbah4dn\n/e53ZGWxa1ddNNoMcf1OiHxmHPNzAB/fQ8aUhEIBYzoc54DXye5ODBwH5cHgaL+/x3HcfQDdXjbO\ngAV+f04wOBiPu/sAWsB4z3muzzcxFIolEi2OU+3dbNl1hjGFoZCB1DBBn3fT/0UwMxQK+3ydXgv/\ngHer/TKYFwiMCQT6HKcxkdgNHd678kJY4PfnB4ND8fghb5gg5WxjJofDCa+Fvxq6vdmF0yASDvvd\nfQDW7oIBb3ZhAcwOBt19AA3J5E7o0/8ARP4laQ7g/+QxKI/FRo3oZG+BTdYCZxlz0HGyHGcImuAI\nnAXfsBboGjVq+fDw+ETCgZb3DxO8Y8yvk8lpw8N4mwli4MBfrAUuNaYsGnX3ATRCEibDCve19bzz\nfv7kk6l9AHFYBN9zS5MmXdvcPDYej3rDBP3egoGGQOCORKIgkXD3AbjDBIfhRW8RQtHwsA+6vGGC\nAKyzFrjYmPJo1N0HUA8WGuAla4FzjWlwnExviiIK3fo9E/ns+BTMAXx8o2A2nASLYc77rx2YBSe4\nffqzZu025r27Xa5ZY6+//jWfb57bOD9vXmMweLtbOv98+/jjDaNGlXst/L2jRz/oliZNsrt32wkT\n5sAisOXldty4DWCtbfD7bXW1nT+/LNXCX1T0GlzoPvC55+xll200Zr57JuXl7/r917ila6+1q1bt\nCgRSLfyt4fA6t3TyyfbFF9szM+e4swvHHz+UlfUoWGvjWVm2psYWFqYuvOT9F+6DMm92YYG6+0U0\nB/BpdeTDP9xIfRT2V7+fcHhmTs6XOjufN+aMysrk0qUvJZNT4TxgcHBKQcGixsYtxiyurubii7cN\nDc2DKTDU3Dxm6tSKffteNubkDRtYvnxjW9vJ7h8c9fXTi4tndXe/asxJN9zA00/v2rnzdLjT2ldD\nIcaOnTl69FcHBtYb86XNm9sfe+xFa9+w9nGfDyjJy1vS1rbZmCXV1ZxxxrZ4vBROAbq7x0+efEJt\n7UvGnFpZyfe//1J//0LIgq7GxpypU+fs3fuKMYsefJDVq7c1NJwKd/2jy0/oAx+Rzyqt8v6gx5PJ\nioaGgnD47BkzaG7eVV7eBu96N3V4Oy1t3qhRJ5eU0NpaW1KyFd6E+60FnvP7/62nZ3YkQldXyxe/\n+Goy+SbcYy3wG2P+c2Bg8pQpk6PR3ltueTMe3weHAXjScSqamzOzsy/Oy3NaWl5fsuQgHHL/aWFt\nRX19UVraGZEILS17S0o2wV5vDeQrodCitLQFJSW0tzdUVGyz9lX4jbXAYz7fVwoKiouKivv62i+9\n9LVkcicc0I9WRN5Pt3T8oLusLcjM5Pbb3X0AOX5/F3RCgzENxswKhfjZz1ixggUL8kKhCe6teNyS\nMcHLL+fOOznzzAnp6eMg4ZVOBCIR7rmHSy7JysnJhSH4JTQY8x1Id4cJrroqOHlyjjG90A4NxtwG\nRaNGccst3HgjZWWpFn73OUv9fn70I1auZNGi/HB4/IjDVRjDvHmsW8c55+RnZuaBA8/pnb6I6C+A\nj7bVmM+feCJTp9LY6PbUOzAWpl14IcDrr1NUREaG21MfgzSv1L1hA5EI2dluyW3hd0t7n3iCoiLy\n8/H7MWYYkqknBIaHmTSJgwcxZtiYuLV5qWp1NYWF9PW5j3IgO1Xato1IhMzM1Jn4vVLz+vVEIuTm\n4vfHjXFnF8435nFlgIgoAD5CK/TV1o5Zvpz+/p76+qZkshl80Pb888BQIlF4550Eg/HKynpvmMAt\nHRoaGvvQQ2zaxJ49+4eGmmHAKzUnEmUbN9LYyP79td4+ALcE5Gdm+n7+c9raWltbP3A4n8+X/8tf\nEo0O7N/fmEiMLPXEYqX33ktGBpWVB6JR996cbqkhFpv46KO89hr79tUMDjaP6GoVEVEAfKhNEOzs\nnLZ5M9a2OU6ttY1wBG7o6wNOhcMvvxwyptNx6pPJ3TDklSpg6O23MwOBXq+Ff9grRcBXU5NXXz/o\ntfCnHgWc298/qaMjnky2xOM1cBgGvepSKHrxRR+0O06ttbUjzuQk6NmxI83n63KchvefyUxwdu/O\n3rev33EOemfyiN7+i4gC4KPdY+1lxsyMRt19AE2QGHFb/AuNqYjFUvsAktAKG60FTjfmUDw+Nh4f\n9oYJ+uAJ74H/ZcyERMLdB9ANw96N4XBb+KNRAx3QCg487JUuNmZOLObuA3CHCargLWuB84ypd5zU\nPgAHOuFZ74HXGJMbj0ehGfphQD9XEVEAfBwPWJtrzHjIhgBsHfHe+S/WhoyZAWMgDbphl1d9wVqg\n1JhMSIco7BjxwJXWFhkzBjIhCdtHlO61dqIxOZANvvcf7mFrM42ZAlkQgi0jSk9Y6zOmFDLBnW57\na0T1VmuLjRkDGeDAK3r7LyIKgI+p88NfMT96/cC7H16t+/BS84eX+j+8lPzIM6nRi76IfCS1gYqI\nKABEREQBICIiCgAREVEAiIiIAkBERBQAIiKiABAREQWAiIgoAERERAEgIiIKABERUQCIiIgCQERE\nFAAiIqIAEBGRo++TWgjT1qZoERE5aoLBrGMjANasWaiflojIZ+4vgHPOOVffVhGRT0Ddv2IAdHTE\n4R2wxgSOHHlZPyURkU9IR4fT08NR2fl9dAJg/fpkR8c7oRADA1pELiLyCWpvZ88eurqOwlMZa4/O\nS/bixWbcOIaG9NMREfkEWUsyybPPHoWX7qMWACIicmxRs6aIiAJAREQUACIiogAQEREFgIiIKABE\nREQBICIiCgAREVEAiIiIAkBERBQAIiKiABAREQWAiIgoAERERAEgIiIKABERUQCIiIgCQEREFAAi\nIqIAEBERBYCIiCgAREREASAiIgoAEREFgIiIKABEREQBICIiCgAREVEAiIiIAkBERBQAIiKiABAR\nEQWAiIgoAERERAEgIiIKABERUQCIiIgCQEREFAAiIqIAEBERBYCIiCgAREREASAiIgoAERFRAIiI\niAJAREQUACIiCgB9C0REFAAiIqIAEBERBYCIiCgAREREASAiIgoAERFRAIiIiAJAREQUACIiogAQ\nEREFgIiIKABEREQBICIiCgAREVEAiIiIAkBERBQAIiKiABAREQWAiIgoAERERAEgIiIKABERUQCI\niCgAREREASAiIgoAERFRAIiIiAJAREQUACIiogAQEREFgIiIKABEREQBICIiCgAREVEAiIiIAkBE\nRBQAIiKiABAREQWAiIgoAERERAEgIiIKABERUQCIiIgCQEREFAAiIpLyvwqOPC0KOsgdAAAAAElF\nTkSuQmCC\n",
|
|
"text/plain": [
|
|
"<IPython.core.display.Image object>"
|
|
]
|
|
},
|
|
"execution_count": 4,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"L.image(zoom=1.8)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 5,
|
|
"metadata": {
|
|
"collapsed": false
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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9u3YtHhgAOu32rEOHePbZ/V984YJNUH7++aUbN/7ZMN7UGvjCYhmzerXTYunw+2sNoxxC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g4WIgpetdvTi4okdCpKNXSAE170eAxwDQw7dMgoRFcgUN+fIbOuutoCZoiBtG3bIo8dc3d2lrrd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\nBIAQQggJACGEEBIAQgghJACEEEKc8n8BV6onOVwQeAcAAAAASUVORK5CYII=\n",
|
|
"text/plain": [
|
|
"<IPython.core.display.Image object>"
|
|
]
|
|
},
|
|
"execution_count": 5,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"L.thermo_style(\"custom step temp epair press\")\n",
|
|
"L.thermo(100)\n",
|
|
"output = L.run(40000)\n",
|
|
"L.image(zoom=1.8)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"## Queries about LAMMPS simulation"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 6,
|
|
"metadata": {
|
|
"collapsed": false
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"System(ntypes=1, nimpropertypes=0, nbonds=1014, nangles=0, orthogonal_box=[58.2767, 40.3753, 1.16553], ndihedrals=0, yhi=40.3753, atom_style='bond', bond_style='harmonic', zlo=-0.582767, improper_style='none', xlo=0.0, style='lj/cut', xhi=58.2767, kspace_style='none', zhi=0.582767, nbondtypes=1, angle_style='none', dihedral_style='none', dimensions=2, natoms=361, boundaries='f,f f,f p,p', ylo=0.0, nimpropers=0, nangletypes=0, molecule_type='standard', atom_map='array', units='lj')"
|
|
]
|
|
},
|
|
"execution_count": 6,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"L.system"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 7,
|
|
"metadata": {
|
|
"collapsed": false
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"361"
|
|
]
|
|
},
|
|
"execution_count": 7,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"L.system.natoms"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 8,
|
|
"metadata": {
|
|
"collapsed": false
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"1014"
|
|
]
|
|
},
|
|
"execution_count": 8,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"L.system.nbonds"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 9,
|
|
"metadata": {
|
|
"collapsed": false
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"1"
|
|
]
|
|
},
|
|
"execution_count": 9,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"L.system.nbondtypes"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 10,
|
|
"metadata": {
|
|
"collapsed": false
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"Communication(comm_style='brick', comm_layout='uniform', proc_grid=[1, 1, 1], nthreads=1, mpi_version='MPI v3.0', nprocs=1, ghost_velocity=False)"
|
|
]
|
|
},
|
|
"execution_count": 10,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"L.communication"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 11,
|
|
"metadata": {
|
|
"collapsed": false
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"[{'group': 'all', 'name': '1', 'style': 'nve'},\n",
|
|
" {'group': 'all', 'name': '2', 'style': 'wall/lj93'},\n",
|
|
" {'group': 'all', 'name': '3', 'style': 'wall/lj93'}]"
|
|
]
|
|
},
|
|
"execution_count": 11,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"L.fixes"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 12,
|
|
"metadata": {
|
|
"collapsed": false
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"[{'group': 'all', 'name': 'thermo_temp', 'style': 'temp'},\n",
|
|
" {'group': 'all', 'name': 'thermo_press', 'style': 'pressure'},\n",
|
|
" {'group': 'all', 'name': 'thermo_pe', 'style': 'pe'}]"
|
|
]
|
|
},
|
|
"execution_count": 12,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"L.computes"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 13,
|
|
"metadata": {
|
|
"collapsed": false
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"[]"
|
|
]
|
|
},
|
|
"execution_count": 13,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"L.dumps"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 14,
|
|
"metadata": {
|
|
"collapsed": false
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"[{'name': 'all', 'type': 'static'}]"
|
|
]
|
|
},
|
|
"execution_count": 14,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"L.groups"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"## Working with LAMMPS Variables"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 15,
|
|
"metadata": {
|
|
"collapsed": false
|
|
},
|
|
"outputs": [],
|
|
"source": [
|
|
"L.variable(\"a index 2\")"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 16,
|
|
"metadata": {
|
|
"collapsed": false
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"{'a': <lammps.Variable at 0x7faf041580f0>}"
|
|
]
|
|
},
|
|
"execution_count": 16,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"L.variables"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 17,
|
|
"metadata": {
|
|
"collapsed": false
|
|
},
|
|
"outputs": [],
|
|
"source": [
|
|
"L.variable(\"t equal temp\")"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 18,
|
|
"metadata": {
|
|
"collapsed": false
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"{'a': <lammps.Variable at 0x7faf041580b8>,\n",
|
|
" 't': <lammps.Variable at 0x7faf04158240>}"
|
|
]
|
|
},
|
|
"execution_count": 18,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"L.variables"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 19,
|
|
"metadata": {
|
|
"collapsed": false
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"2.0"
|
|
]
|
|
},
|
|
"execution_count": 19,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"import sys\n",
|
|
"\n",
|
|
"if sys.version_info < (3, 0):\n",
|
|
" # In Python 2 'print' is a restricted keyword, which is why you have to use the lmp_print function instead.\n",
|
|
" x = float(L.lmp_print('\"${a}\"'))\n",
|
|
"else:\n",
|
|
" # In Python 3 the print function can be redefined.\n",
|
|
" # x = float(L.print('\"${a}\"')\")\n",
|
|
" \n",
|
|
" # To avoid a syntax error in Python 2 executions of this notebook, this line is packed into an eval statement\n",
|
|
" x = float(eval(\"L.print('\\\"${a}\\\"')\"))\n",
|
|
"x"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 20,
|
|
"metadata": {
|
|
"collapsed": false
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"0.363092663783386"
|
|
]
|
|
},
|
|
"execution_count": 20,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"L.variables['t'].value"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 21,
|
|
"metadata": {
|
|
"collapsed": false
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"0.181546331891693"
|
|
]
|
|
},
|
|
"execution_count": 21,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"L.eval(\"v_t/2.0\")"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 22,
|
|
"metadata": {
|
|
"collapsed": false
|
|
},
|
|
"outputs": [],
|
|
"source": [
|
|
"L.variable(\"b index a b c\")"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 23,
|
|
"metadata": {
|
|
"collapsed": false
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"'a'"
|
|
]
|
|
},
|
|
"execution_count": 23,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"L.variables['b'].value"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 24,
|
|
"metadata": {
|
|
"collapsed": false
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"0.0"
|
|
]
|
|
},
|
|
"execution_count": 24,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"L.eval(\"v_b\")"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 25,
|
|
"metadata": {
|
|
"collapsed": false
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"['a', 'b', 'c']"
|
|
]
|
|
},
|
|
"execution_count": 25,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"L.variables['b'].definition"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 26,
|
|
"metadata": {
|
|
"collapsed": false
|
|
},
|
|
"outputs": [],
|
|
"source": [
|
|
"L.variable(\"i loop 10\")"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 27,
|
|
"metadata": {
|
|
"collapsed": false
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"1.0"
|
|
]
|
|
},
|
|
"execution_count": 27,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"L.variables['i'].value"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 28,
|
|
"metadata": {
|
|
"collapsed": false
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"2.0"
|
|
]
|
|
},
|
|
"execution_count": 28,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"L.next(\"i\")\n",
|
|
"L.variables['i'].value"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 29,
|
|
"metadata": {
|
|
"collapsed": false
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"0.3620868669308006"
|
|
]
|
|
},
|
|
"execution_count": 29,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"L.eval(\"ke\")"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"## Accessing Atom data"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 30,
|
|
"metadata": {
|
|
"collapsed": false
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"<lammps.Atom at 0x7faf04157a58>"
|
|
]
|
|
},
|
|
"execution_count": 30,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"L.atoms[0]"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 31,
|
|
"metadata": {
|
|
"collapsed": false
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"['charge',\n",
|
|
" 'force',\n",
|
|
" 'id',\n",
|
|
" 'index',\n",
|
|
" 'lmp',\n",
|
|
" 'mass',\n",
|
|
" 'mol',\n",
|
|
" 'position',\n",
|
|
" 'type',\n",
|
|
" 'velocity']"
|
|
]
|
|
},
|
|
"execution_count": 31,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"[x for x in dir(L.atoms[0]) if not x.startswith('__')]"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 32,
|
|
"metadata": {
|
|
"collapsed": false
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"(14.081609521719168, 0.920541427075243, 0.0)"
|
|
]
|
|
},
|
|
"execution_count": 32,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"L.atoms[0].position"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 33,
|
|
"metadata": {
|
|
"collapsed": false
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"1"
|
|
]
|
|
},
|
|
"execution_count": 33,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"L.atoms[0].id"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 34,
|
|
"metadata": {
|
|
"collapsed": false
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"(-0.08810676648167072, -0.8755151505832499, 0.0)"
|
|
]
|
|
},
|
|
"execution_count": 34,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"L.atoms[0].velocity"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 35,
|
|
"metadata": {
|
|
"collapsed": false
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"(0.809523377179948, -1.4360462290451692, 0.0)"
|
|
]
|
|
},
|
|
"execution_count": 35,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"L.atoms[0].force"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 36,
|
|
"metadata": {
|
|
"collapsed": false
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"1"
|
|
]
|
|
},
|
|
"execution_count": 36,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"L.atoms[0].type"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {
|
|
"collapsed": true
|
|
},
|
|
"outputs": [],
|
|
"source": []
|
|
}
|
|
],
|
|
"metadata": {
|
|
"kernelspec": {
|
|
"display_name": "Python 3",
|
|
"language": "python",
|
|
"name": "python3"
|
|
},
|
|
"language_info": {
|
|
"codemirror_mode": {
|
|
"name": "ipython",
|
|
"version": 3
|
|
},
|
|
"file_extension": ".py",
|
|
"mimetype": "text/x-python",
|
|
"name": "python",
|
|
"nbconvert_exporter": "python",
|
|
"pygments_lexer": "ipython3",
|
|
"version": "3.5.2"
|
|
}
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 0
|
|
}
|