918 lines
603 KiB
Plaintext
918 lines
603 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 62,
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"metadata": {},
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"outputs": [],
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"source": [
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"import uproot\n",
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"import awkward as ak\n",
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"import matplotlib.pyplot as plt\n",
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"import seaborn as sns\n",
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"import numpy as np\n",
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"import mplhep\n",
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"\n",
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"mplhep.style.use([\"LHCbTex2\"])\n",
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"input_tree = uproot.open(\n",
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" {\n",
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" \"/work/cetin/LHCb/reco_tuner/data/tracking_losses_ntuple_B_BJpsi_def_selected.root\": \"Selected\"\n",
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" }\n",
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")\n",
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"array = input_tree.arrays()\n",
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"\n",
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"array[\"dSlope_yEndT\"] = array[\"ideal_state_9410_ty\"] - array[\"ideal_state_770_ty\"]\n",
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"array[\"dSlope_yEndT_abs\"] = abs(array[\"dSlope_yEndT\"])\n",
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"\n",
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"array[\"dSlope_xEndT\"] = array[\"ideal_state_9410_tx\"] - array[\"ideal_state_770_tx\"]\n",
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"array[\"dSlope_xEndT_abs\"] = abs(array[\"dSlope_xEndT\"])\n",
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"array[\"x_EndT_abs\"] = abs(array[\"ideal_state_9410_x\"])\n",
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"array[\"x_EndVelo_abs\"] = abs(array[\"ideal_state_770_x\"])\n",
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"\n",
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"array[\"y_EndT_abs\"] = abs(array[\"ideal_state_9410_y\"])\n",
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"array[\"y_EndVelo_abs\"] = abs(array[\"ideal_state_770_y\"])\n",
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"\n",
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"array[\"z_mag_xEndT\"] = (\n",
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" array[\"ideal_state_770_x\"]\n",
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" - array[\"ideal_state_9410_x\"]\n",
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" - array[\"ideal_state_770_tx\"] * array[\"ideal_state_770_z\"]\n",
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" + array[\"ideal_state_9410_tx\"] * array[\"ideal_state_9410_z\"]\n",
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") / array[\"dSlope_xEndT\"]\n",
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"\n",
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"array[\"z_mag_corr\"] = array[\"z_mag_xEndT\"] - array[\"match_zmag\"]\n",
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"\n",
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"sel_array = array[\n",
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" (array[\"z_mag_xEndT\"] < 5700)\n",
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" & (array[\"z_mag_xEndT\"] > 5000)\n",
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" # & (array[\"match_chi2\"] < 5)\n",
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"]"
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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": 63,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 1200x900 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"fig = plt.figure()\n",
|
|
"plt.hist(\n",
|
|
" sel_array[\"z_mag_xEndT\"],\n",
|
|
" bins=100,\n",
|
|
" # range=[5100, 5700],\n",
|
|
" color=\"#2A9D8F\",\n",
|
|
" density=True,\n",
|
|
")\n",
|
|
"plt.xlabel(r\"z$_{Mag}$ [mm]\")\n",
|
|
"plt.ylabel(\"Number of Tracks (normalised)\")\n",
|
|
"mplhep.lhcb.text(\"Simulation\")\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 64,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 1200x900 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"bins = np.linspace(-0.4, 0.4, 50)\n",
|
|
"sns.regplot(\n",
|
|
" x=ak.to_numpy(sel_array[\"ideal_state_770_tx\"]),\n",
|
|
" y=ak.to_numpy(sel_array[\"z_mag_xEndT\"]),\n",
|
|
" x_bins=bins,\n",
|
|
" fit_reg=None,\n",
|
|
" x_estimator=np.mean,\n",
|
|
")\n",
|
|
"# plt.ylim(5100, 5700)\n",
|
|
"plt.xlabel(\"dx/dz(VELO)\")\n",
|
|
"plt.ylabel(\"$z_{Mag}$ [mm]\")\n",
|
|
"mplhep.lhcb.text(\"Simulation\")\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 65,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 1200x900 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"bins = np.linspace(-0.25, 0.25, 50)\n",
|
|
"sns.regplot(\n",
|
|
" x=ak.to_numpy(sel_array[\"ideal_state_9410_tx\"]),\n",
|
|
" y=ak.to_numpy(sel_array[\"z_mag_xEndT\"]),\n",
|
|
" x_bins=bins,\n",
|
|
" fit_reg=None,\n",
|
|
" x_estimator=np.mean,\n",
|
|
")\n",
|
|
"# plt.ylim(4500, 5700)\n",
|
|
"\n",
|
|
"plt.xlabel(\"dx/dz(T)\")\n",
|
|
"plt.ylabel(\"$z_{Mag}$ [mm]\")\n",
|
|
"mplhep.lhcb.text(\"Simulation\")\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 66,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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kM+7+L5ytBAAA+pn5IEySnnjiCVvG+du//VtbxjmNaZqd0y37vYRCIUsbWefzeYVCIRWLxc6DrWmaqlarKhaLCoVClmc5+Hw+S72d9HLSrJxJ3ztwWigwzgb5p4lGo8rlckMvnzZNU5FIRLFYTOVyuef7tFKpdELsk5Z3WrGxsdF5fdD3YSaTUSaTkTQ40ItGo6rVaqrVahP5+5w1Ti2Lt/Kzc9k+FwAAAIDTZn5ppJ22t7cnOv4wsz+y2Wzf98diMVUqFXm9XkWjUQWDwc5+QN2zPbLZbM+eQScpl8tjLb2xMpvCznsHJPUs9Wub5Ebi7RDJKsMwFIlEBn5vteu2traG6n+Uva1yudypM+kwXcViUcViUZubm063AjiO5YwAAGCWzGUQ9sUXXwz1gGgYhjY3Nye+D0v37I1+2sHWabLZrCqVinK53IkP5/l8vidMSiQSfU9BG/dBrF/I1mbXvQPS4ffsSWHOrMyYMU2zs8l5PB5XLBbTxYsXtb+/r62trRNnasZiMdVqNctf/0d/XlUqlb4nQbZdvXq1s9QTzmgvaQdwyOWSzhB0AQCAGTEXQdgXX3wx9kyHVqsl1wQ3jSgWizJNU5lMZuAMqn6b9huGoXw+33f2SCaTUa1W65mFVa1WTwwJDMNQpVJRMBhUNptVNBq1tEwoEonIMAxLM1jsuneg7bTv81AoNOVOTtaerXbS92k0GlUqlVIsFjt2H4lEorOB+yBHA7NsNqvLly8PPCigHVzP4gmYy8A0zZnekwwAAABYdjMfhF29erUzu6LfrCen5XI5BYPBsTf2z2azyuVyAwOoXC7XE4RVKpUTg7D2Rsw7OzuWH4q7Z+NYmVli170DbacFYU7t9XSSfmF1ewP7o8FdtVpVpVKxFDB7vV55vd7OzLD2fmRbW1sDZ5XN8s/KRWaaptbW1liaCgAAAMywmd4s/7e//a1yuVznoW6SM7rG0d4k2469r9ozqwbxer09D8OnhVzFYlGlUmmomSHl8p/OOL98+fLAWrvuHbMtm82OfOBCJBIZ6lqnLWOelRlO7b37+jktHB4mMD5aaxhG5wCNcVWr1c5m/v2YpqlisahIJNJz3fbyv/ZBHKcd3tH++dA+UTMUCimVSp34OW5f5+jXz1GxWKwzXveLncvfi8Viz3XaJ/aedkBJtVrVE088cexghKOHhZz2sVY+F22maSqfzysWi3X+/tv9ZbNZS0Fce/bx0cMcuj8HoVCoswQYAAAAWBitGRaJRFoul6vldrtbLperFQqFWolEopXNZlvZbLaVz+cHvmSz2VYqlWr5fL6W2+2eSJ/hcLjl9XpbBwcHExn/NF6vtyWpJam1s7NzYs3W1tbQ44bD4ZakVjQatVTrxL2vrq62JLVWV1enet1pan9uu1+m9fecTCZPvL6dL8FgcOjrj/L1bIdMJtPTh5Xvjbbu79P2yzCi0eiJfxfhcPjU7/vT7OzstJLJZE9PXq/3WN3BwUErl8t1fha0XzY3N1ut1vG/j+6XZDLZGadfXTAYPPXr+ejn/zS5XM7S98fOzo7lv/9SqdT5eymVSj1jBIPBU3s/ODho7ezsHOtpZ2en56V7PCufi6M2Nzc79blcrrWzs9Oq1WqtUqnU8/mKx+PHPvbg4KCVyWQ699Hd48HBwbHPd3dftVptYG8AAACAVU4+0890ENYOwdxud6tSqYw1Vq1Wm0gQdvQBKxgMtpLJZM8D1CQcHByM9FA+zLjth97TOHXvrRZB2KSdFEQlk8ljD/VWX7of3q0EYacFKNP42rLSz0khw2ni8fix+xg2wDppjO5erHxd1Gq1ViaTaeVyOUtB2NbW1rHPWzKZbIXD4VY0Gm2VSqVWrVbrhCtH7y8ajbbC4XBra2urdXBw0Bmz+9qZTObEXre2tiwFV7VazdYgrPu6uVyu7zinfQ1Y6X2Yz0W39t9zv2Cq+2vlaGBXq9VaW1tbx76/Nzc3W16vtxWPx1tbW1utWq3W+bNJ/DsDAAAAEISdoj2L64033rBlvFAoZMs43U6brdH9sDTsQ68V7QfUfrMqRtE9m2HQuE7de6tFEDZpJwVhJwUDVh0NIgYFYUdn1VgNZydlnCCsPcNo3Ps47e9klDG7xxoUvhydJXTarLyjPw+6Z4Z16/77OO3aVoOw7uDejiCsO0Q67et90DhWe2+z+rnoDiUHfa67Z3ydFmB19+j1ek/8vB792p32zF8AAAAsLief6Wd6j7D2HliXLl2yZbzNzU1bxmlrn8jYT7lcViQSUSqVsu26pmkqlUopHA5ra2vL1n2Tbt26JUkKh8N9x3Xq3rEcTvvam8e9ik7a2H6U+8hkMjo4OOicCnlU+6RKK2MP2my/W/cBBclk8tS90Y6elHjaz9vu/k3TnNnP6Wlfg91/bsem+FY/F+19GL1er5LJpKVa6fAglZN+Vnffx40bN078vB79Wtve3rbUKwAAADDLZjoIW1tbkyTt7+/bOp5dgsGgNjc3lcvllEwm+z7QtDcgHpdhGIpEIvJ6vbpz585QD7SDmKbZ2TT5ypUrfWuduHcsj9O+nmq12pQ7Gd9Jgcof//jHkccqlUra2dk58ZTYSqWitbU1W8Mlq0G7lcM7TjJLJyzeuHFDuVxOpVJpYNgkTS+YLRaLnWtZ+ZmfTCZ7PgfjnOjbfb1Z+lwBAAAAo5rpIOxXv/qVWq3WsVO4RvXuu+/aMk63ZDKpTCajzc1N1Wo1HRwcKJfLnfggWK1Wj82aGEa5XFYoFJJhGDJNUz6f79QTzEZx+/btzuunzTrpNs17x3I5bdbRoFmIs+ik4OLxxx8fa8xwOKydnZ0TZ11Vq1Wtr6+PNf4oRp2ZatcvOuzg9XqVyWRO/PlXrVZt+7doWFtbW53Xrf7yo/t7aB6/b5ZNqyU9bPZ/+T8HaAMAAGBMMx2EnT9/Xm+//bZu3bqlf/3Xfx17PLuXRp6k/SB1cHCgUql07OGwUqkMFV6Zptk54j6RSBx7fzabPfHPR9H++wmHwyPNNLP73rHcTprx1A6B551dMzmTyaRqtdqx77VyuTzT4Yedy7knyTAMFYtFVSoVhcPhE78mp9XHsI5+jS3C980ia7aks2/2f2k6EIQR0AEAgEV01ukGBslkMtra2lIikdDvfve7kce5d+/e1H+bH4/HFY1Gtba21nPtjY0NZTIZS2NUKhXVajVFo9FT9+Uql8vK5/OWxzzJMMsirbDj3q2o1+sKBAJjj5NOp5VOp23oCHa5cuXKid+zlUrF0ozFWeL1enuCCDuXNAeDQe3s7CgSifRcY3Nz89SZdeivWq0qm80qHA6PtazQLt2fV6uhWCgU6nl7f39/bgJIzI52QNfPd9ekM67p9IPhtFqDA1S3S3Lx+QMADKFQKKhQKIw9Tr1et6Gb0cx8ECYdLgu5ePGinnzySWWz2Z7Nm/vZ39+XaZqq1Wo9y/6myev1dh5S2w/1pmmqUqlYekiNx+PHHvqLxaKy2WzPw1E2mz22L8wwhl0WacW4925Fs9nU3t7e2OM0Gg0bupkf1WpVGxsbKpVKTrdyqmQy2bPpd9vm5ubcBWFHZ+MMmllUqVSUzWa1s7NjafxgMKgbN270zA51ahnfvEulUioWi0omkzMRgkmjbdB/9N9JO8NXAPOBIBMAMAmNRsOWZ3AnzUUQ9umnn0o63Ch71BMIW62WXA7+yuvGjRs9G8ZvbW2NHAa1T247OgOkWCyOPNuqvSwyGAza/sBk570f5Xa75ff7xx7H4/HY0M38WF9ftxwoO8Xr9Soej6tcLvf8eaVSUbVadWyZ2rCOhmBWvvaDwaCq1epQofHRcJCNzYfXDsGk8TaYt1v760H600mbg37p0b33GiEYcLJZnDE1iz0BANDN4/FodXV17HHq9bqazaYNHQ1v5oOwX/ziF50HE5fLpdYIm1E4GYC1hcNhRaPRztLGcR9Sg8Gg7ty50xMwffbZZyON1b0schIzbey+925+v1+7u7u2jbcM2kFSvwd9uzcwH3W8XC53LAiTDmdAdm8gbgcr4cIotre3e962Eua3g4tUKjXySZnzEhSOw86v02q12vm3JhgMztQywitXrvR8H1j5pUf31828zaCcF9MOLN6/K708gwcwz2pfVszijKlZ7AkAgG52bSsUCAQcm1k205vl37hxQ5ubm53wa5QQbJyPs5vdpyaGw+GeB5xRA6buZZF27A92Ek6MnA2maXaWzw37cPzHP/7R1l6shBjBYPDEwM7ugxcMw1AkEhl5xmk/R0/8s/r3HgwGZRjGictDT3L0+39S38vTcHS24mkbvdsZqnfvv9hvXCc2nY/H4z3BnJWDX7rv5+rVq5Noa+nZucH9+3cH17xStlZnp1ntC9PHwQkAgEUy0zPC2v/Zb88Ei0ajisVi8nq9Q+8Tdv36dX3xxRcT7Haw7uUpdi1L654pMOoDWnufKK/XO7FZJJO490U2iYdt0zS1trbWmfk07HIpu3uyOl77wIyjB0W0NzMfd5ltpVJRLBY7NXQbV/dMnmFOrm0HYe1TY5PJZN/67rGDwaBth1JY/Tx11w36mEHvP/pz6KQZUCeFhHZuCF8ul4+Flidd76ij31eGYfT82agzD7v3gGsfnHLa1361Wu3M8s3lcjM1uw3H3X8gvfahtdpXP5Ce+ZHkOTfRliTNbl9wBjPVAACLZKaDsGq1KpfLJa/Xq+3tbT3xxBMjj7W+vq7HH3/cxu6G1/0wZNeDSfcD4yhjtjevlzTwQXsck7j3RXbajJRRH/QrlYpSqVRn3MuXLw99/XGWoY07c6d9cuzRZZKxWEy5XG6k0Mc0TWWzWRWLxc7Ji1b/bq2GQ8VisXPv7b39rOr+nkmlUtrZ2Tk11CgWiz0z5AYtG+3+XDoxw6nbadfvXk6dzWZVq9WUSCRkmqa2trZULBY7XxftMY6GTm1Hv3ZPCqOOhm+JREK5XE7hcFjValWbm5sKh8OdgFL6U/i4tbWlq1evnhgwp1IplUol7e/vK5fLKRQK9Xy9Wv1cxONx5XK5ThiXSCR07969Y/dhmqbW19clHX7Nnfa9YfXz3v296/TXyqJ6ryp99a212i+/kW5WpV/+eLI9SbPb17TN89JPKxb9/gAAOMlML41s/wf/6tWrY4Vg7bEuXLhgQ1ej694raBJLBS9evDj0x0xjWaQ0+XtfNKfNHOoOs/ppB5zZbFahUEixWKzn4/p9DgzDOPHEwXK5PPKD8Gn3096TyYpSqXTiQ302m1UkEjk2Y+w0pmkqn8/riSeeULFYVDQaHSoEk47v+3USwzA6Sy2j0ehQs8Ek9ez/Jx3+Xfl8PiUSiU6Al0qlFAqFeq5Tq9UGzvY72stJ+7BJvUG51P++b926dazfkxz9PJ0W2pVKpZ7PSbFYVCwWUyKR0O3bt088dCObzcowjGNfp0fv96RThKPR6IkzwGKxmLLZbCfQ6r5muVzufG9199r9dVqpVOTz+RQKhY6976TeTvtctD+2/fdimmbna9gwDBmGoWKx2DmlN5fLnfo1Z/VzYLVunszi8q6PPh+u/uMh60c1q33ZaV6XflrtZ17vDwCASZvpIKz9IGjXiVc3btywZZxRdW9ebNepiVbDjdNMY1mkNJl7X0TValWJRKJviBAKheRyufq++Hw+xWIx5fP5E4Ozkz4Hpml2HqRPE4lEVCwWLQdi1WpVsVjsxGBNOgz22uGFFblcTltbW8e+VtvXaQdFxWKxcyhApVLpzJiKRCLy+XydWTWlUklbW1sDQ7Cje4eZpqlQKHRq+FYulzt/j/F4fKQAob1he6lUUqlU6swoawce7RMO9/f3O9fY2to69edl+2vL5/Md+3wkEglFIpHOrLJ27dFfQFSrVYVCoZ5ZWO0w7miAk0qlOl+D0p+WoB79OVUsFnvCvDav16t79+4pmUx27ikcDiuTyejg4KDzNdxeBlqr1bSzs9P5e2vvh+fz+U7s7aQ94UqlknK5XOd67bEPDg46AVYul+tcOxwOK5fLdX6OtrVnKXb3XSqVOsHUMJ+Lo+LxuA4ODrS5uamLFy92wu5IJKLNzU2lUqmefru1v08GfQ4Mwzixrv3zx879+abNzn297HLwtb31doV9dvc1a4Zd+tl4MNF2OuwKr2b1/gAAmAWu1qzsJH+Ccrmsy5cvK5/P6z/9p//kdDtjC4VCMgxDmUzGtr2I8vm8stmsvF6vDg4OhvpY0zTl8/kkHS6hGXbGyjDsvvf2CROrq6sLcWpkO9iYhnA4rJ2dnZ4/G+Vk1X5fcyctY7TipFk+pymXy9rY2Dg1ZDtNMBhUKpVSMpkcahZYe0+qo/fl9Xp18eLFTviyvb3dWXp3dAYRAGc9bFrc58jCrwmtjPX/xgcvO/vp/yN98ofB1+vUPyn97v8ery8r92h3X7Pmv/536T98ZL3+b5+Z/NLP+w+k1besLUl97BFp7+rp+7LZfX92fu8AACA5+0w/0/9cxeNxXbhw4diSm1H9wz/8gy3jjKJcLneWz9h5gtfGxoak0Wa7dS8Pam/CPAmTuvdFkkwm1Wq1pvJyNASTNNI4/YLXUqk00pjDhEbxeFw7Ozs6ODhQqVRSPB7v7OHUFgwGO6er5nI51Wo11Wo1ZTKZofdaCwaDKpVKx64nHc6UqVQq2t/f1+XLl7W1tdUzawnA4rFr5s4zTw133aeHrB/VrPZlF7uXftoxE2+UfdlOswxLWwEAGNVMb5YvHT5Q/5t/82/0j//4j/r3//7fjzXWxsaGfvazn9nSV6VS6SwPikajnU2VT2IYRmfz4jt37vR9AM/n87p165ai0Whn8+XTZLNZmaapTCZzbG8bK7qXRQ7zwD6pewdG4fV6FY/HR/oemIfrAZg9dp6o+FJYeuN31mcBvTy5XQx6zGpfdrF76acdpyqOEl6dNovLiaWtbLwPAJgXMz0jTDqchXH9+nX9/Oc/H2uc+/fvD72Eqp9SqdTZI6dSqZy430z3+1ZWVlSr1fruw9U+xa5arSqfz/fsZXRUIpFQPp9XLpcbaalh9ybYw85amcS9AwAwL+ycuXP+nPTOs9bGuv7c6YHaMKzMZnOir2nyPTrZ+lHYGV7ZfX9svA8AWCQzPSOsvZTxz//8z+Xz+fTkk0+ONAvDNM0TTwkbx0kbmheLRd2+fVvRaFQrKyva3t5WtVpVJpMZOLtLOpxpEgwGezYOz+fznZPtgsGgqtWqtre3LZ8Od5ruv49h96aaxL0DADAv7Jy5I0kvXjgMEfq5GT+sG8RqYHHGPXg8O/uaNc88NdweaNNY+mlneGXn/dk5AxIAgFkw00HYW2+9pbt3//Q/ularNfJpVa1Wa6QNwU/TDqJyuVxnb6D2LKlqtapwOKyrV68qGo0OFQLt7OxoY2NDlUpFhmH0jCkdhlClUmnsYKn7lLNhZ4RN6t4BAJgHTiw7e8FC2OREYGGlr1k0i0s/7Qyv7Ly/UWZATvpgAQAAxjHTQdjly5c7AZDL5bI1yLJDMBi0/aRFr9dr24mS/WxtbY318ZO4dwAAnGZln6NZXFYn2R9YuF2H+1r1456t/5pZ1l76OWjGm2TvktR+X1t2hld23p/dMyABAHDaTO8R1l6y53K5xj4pDwAALLdFP+nR7pMCXa7DJZT9Xmbsd5RDsbKk0+4lqf3q7N6Xza77c2IGJAAAkzTTM8LOnz+vcDisu3fvdk4mXFlZGXocwzD01ltv6fe//739TQIAgJk3yyc92jXzisDCftNekjrtfdms3N+szoAEAGBUMx2ESdKVK1cUCoX0+uuvjzzGhQsX9Pzzz48UogEAgPln57JBu5fVuVzSGRtmVhFYDMeuAHLae2hNe1+2WTxYAACAccz00kjpcGN2u5Y2Xrx40ZZxMDvq9boCgUDfl0Kh4HSbAIAxtFrSw2b/l0H/VbB72aCdy+rsMqtLNmeVXUs/7f7amjUvhaXvf89a7bQOFgAAzLZCoTDwOb1erzvW38zPCLtw4YJtm8dPYxN6TFez2dTe3l7fmkajMaVuAACT0GxJZ9/sX/Pdtf6zqmb1pEc7zeJJiMtg0ZekOnGwAABgvjUajYHP6U6a+SBMkp544glbxrlwYU7P+Map3G63/H5/3xqPxzOlbgAAs2oZlg0SWDjDzq8tO0/qtHMsO/cua7UOw+1Bfc3zQQwAsOw8Ho9WV1f71tTrdTWbzSl11MvRIOz3v/+9/u2//bdOttAxS73AOr/fr93dXafbAADMuGXZ52jam63D3q8tu/aLs3ssK6zOgLRjhicAYLal02ml0+m+NYFAwLFZY47uERaJRGZi2dr9+/cViUScbgMAAEwI+xz9ybSXbC46vrYAAJgvjs4Is2sTfDvMUi8AAMBedi8btHPZGeYbS1IBAJgvjgZhrhla/D9LvQAAMO9mcR8gO5cNTnvZmVUEdM5gSSoAAPODGWEAAMB287oP0LwvG5zVgA7z/7UFAMCicHSPMEm6d++e0y1oe3vb6RYAAAAAAAAwYY7OCJOk9fV1vfHGG/J6vVpZWZnqtff392UYhjKZzFSvCwAA7PX+Xellzr2BQxZ9Seqs3t8sLsEGAMw+x4OwnZ0dJRIJR3totVrsEQYAWHqz+lD5/t3BNa+UpTNu9mCCMxZ9Seq0789qsD2vS7ABAM5yPAhrc2q/MAIwAAAOzeJD5f0H0msfWqt99QPpmR9xKh8wywi2AQBOczwIc3rDfKevDwAATvdeVfrqW2u1X34j3axKv/zxye+f1eVdwLIg2AYAzAJHg7CDgwMnLw8AAGbcR58PV//x56cHYYu+fA2YdXYG2wAAjMrRIOz8+fNOXh4AAMy4g68nWw9geuwMtgEAGJXb6QYAAMBysrJXkO/R4cYcth7A9BBsAwBmAUEYAACwndUNsQfVPfPUcNd9esh6ANNDsA0AmAUEYQAAwFbDbojdeHD6+18KS9//nrWxHntEejlsrRbA9BFsAwBmAUEYAACw1SgbYp/m/DnpnWetjXX9OU6YA2YZwTYAYBY4ulk+MK56va5AINC3Jp1OK51OT6kjAIDdG2K/eOFwGWU/N+OHdQBmVzvYHvT9LBFsA8A8KxQKKhQKfWvq9fqUujmOIAxzrdlsam9vr29No9GYUjcAAMmZDbFfIAQD5sK0g+3370ovR+wZCwBgTaPRGPic7iSCMMw1t9stv9/ft8bj8UypGwCAxIbYAMZjNdi2eijHGTczRgFgmjwej1ZXV/vW1Ot1NZvNKXXUiyAMc83v92t3d9fpNgBgaViZXfHMU9Inf7A+JhtiAxjWsIdyPPMjlloCwLRY2Z4oEAg4NmuMzfIBAIAk67MrBtWxITaASbPzUA4AwHIhCAMAAEPPrmg8OP39nPQIYNJGOZQDAACJIAwAAMj+2RVW9uPhpEcAo3LiUA4AwGJgjzAAADDS7Ipf/ni8a1rdENvtkr67NrgGwPLgUA4AwKiYEQYAAGZ6doXLdXjqW78XF0EYsFSeGfKQDQ7lAAC0MSMMAAAwuwLAVNg1w/OlsPTG76wt6eZQDgBAt4WcEXb//n394he/cLoNAADmBrMrAEyDXTM8OZQDADCqhQzCDMNQsVjUv/zLv+jTTz9Vo9FwuiUAAGbaS2Hp+9+zVsvsCgCzwK5DOVot6WGz/0urZU/PAADnLeTSyEqlolarpWAw2PmzbDart956y8GuAACYXe3ZFa+UB9cyuwLAvLByKEezJZ19s3/Nd9ekM+xFCAALYeFmhN25c0fZbFaS1Gq1Oi+5XE6/+tWvTv24X/ziF3ryySd16dIl/epXv2IWGQBg6dg1uwIAAACYVa5Wa7Em+l68eFHBYFBXrlxROByWYRj65JNP9Dd/8zdyuVwyDEM/+MEPej7mySeflGEY6v6rCIVC2tnZkcfjmfYtwIJAIKC9vT2trq5qd3fX6XYAYCE8bFqcFWHh12it1uEsi37cLk57BDA6u35m2fmzDwBgjZPP9Av54/z27dt6/vnn9cQTT2htbU25XE77+/v64Q9/2Jkt1vaLX/xCtVpN0uHyyWazqf39ff3kJz/R+vq6E+0DADD37NoQGwAAALDTwgVhrlP+V+31erWzs9MJvdo2NzflcrkUj8e1sbHRqd3c3NTBwYG++OKLSbcMAAAAAACAKVi4IMzn8+k3v/nNie/zer3y+Xydt2/cuNF5PZfLHavPZrOqVCr2NwkAAAAAAICpW7ggLJPJ6PXXX9drr7124ob3BwcHndfbs8Gi0ah++MMfHqu9ePHisRlkAAAAAAAAmE9nnW7AbtFoVOvr67p+/bo2NzcVj8d16dIlSdKtW7dUq9X005/+VOFwWNVqVS6XS6lU6sSxzp8/L8Mwptk+AAAAAAAAJmThgjDpcKbX/v6+fvvb36pcLqtcLnfet729rbfeeqtnKWQ4HD5xnLt372plZWXi/WJ09XpdgUCgb006nVY6nZ5SRwAAAAAALK9CoaBCodC3pl6vT6mb4xYyCJOkUqmkYrGocrmsSqUir9erGzdu6MKFCyqVSkokErpz545yuZxSqZT+23/7b8fGKBaLCoVCDnQPq5rNpvb29vrWnLREFgAAAPPN7ZK+uza4ZppaLanZ6l/jdnFqLoDF1mg0Bj6nO2lhgzBJSiaTSiaTJ76vVCp1Xvf5fLp06ZLeffdd/eVf/qUajYbeeustFYvFnj3FMHvcbrf8fn/fGo/HM6VuAAAAMC0ul3RmxgKlZks6+2b/mu+uzV7fAGAnj8ej1dXVvjX1el3NZnNKHfVa6CDMqng8LsMwdOHCBbm6fj3z9ttvE6LMOL/fr93dXafbAAAAwAJ7/670csTpLgBgPljZnigQCDg2a4wg7P/IZDIKBoMqFovyer26cuWKnn/+eafbAgBgamZxmREATNr7dwfXvFKWzrilFy9Mvh8AwGS5nW7Abp9++qmlun/4h384tndUPB7XJ598otu3bxOCAQCWjst1+KDX74V9bQAskvsPpNc+tFb76gdS48FE2wEATMHCBWHxeFxnzpzRT3/6U/3617/W73//+xPr1tbW9POf/1xffPHFVPsDAAAAMBveq0pffWut9stvpJvVyfYDAJi8hQvCIpGIWq2WKpWKstmsIpGIHn/88WPB2Pnz53Xjxg0lEgn9y7/8i7NNAwAAAJi6jz4frv7jIesBALNn4fYIK5fLSiQS2t/fl2maMgxDBwcH2traUqVS6dTFYjFduHBBBwcHSqVS+t3vfudg1wAAAACm7eDrydYDAGbPwgVhyWRSxWJRP/zhDzt/dufOHd2+fVs3btzo/Nknn3yira0ttVot3bt3z4FOAQAAADjJ9+hk6wEAs2fhlka2Wq2eEEw63A9sc3NTBwcHev311xUOh5XL5fT8888rHA7r7bffdqZZAAAAAI555qnh6p8esh4AMHsWbkbY/fv3T33f+fPnlcvldO/ePWWzWeXz+WOhGQAAAIDl8FJYeuN31jbMf+wR6eXw5HsCAEzWws0Ie+KJJ/Sb3/xmYM3t27eVTCbZKB8AAABYUufPSe88a632+nOS59xE2wEATMHCBWGZTEavv/66/vEf/3Fg7e3btxWNRtVoNKbQGQAAAIBZ8+KFwTU349bqAACzb+GCsGAwqLffflvxeFyvvfZa31qv16sLFy7ojTfemFJ3AAAAAObNCzaGYO/ftW8sAMDwFi4Ikw5nhf3sZz/T9evX9ed//uf6zW9+c+qsr5WVFd26dWvKHQIAYI9WS3rY7P/SajndJQAsBysh1ytlwjAAcJKr1Vrc/x6nUinduHFDLpdLkhSPxxWLxXTx4kVJ0q1bt5TL5eRyufTw4UMnW8WQAoGA9vb2tLq6qt3dXafbAQDHPGxKZ9/sX/PdNenMQv7qCwDGZ9fP0fsPpNW3rG+8v3eVPccALC8nn+kX7tTIbpubm4rFYlpfX9f9+/dVLpdVLpeP1YXDHP8CAAAAYHTvVa2FYJL05TfSzar0yx9PticAwHEL//vheDyug4MDvf322zp//rxarVbPi9fr1Y0bN5xuEwAAAMAc++jz4eo/HrIeAGCPhZ4R1i2TySiTyeju3bsyDEOGYSgYDCoajer8+fNOt4cR1et1BQKBvjXpdFrpdHpKHQHAYK2W1BywMYHbJf2flf0AgDlw8PVk6wFgXhQKBRUKhb419Xp9St0cN7dB2C9+8Qv93d/93dAfd+HCBV24wNnHi6LZbGpvb69vzWkHJQCAU5oti/vREIQBwNzwPTrZegCYF41GY+BzupPmNgi7ffu28vm8/uzP/szpVuAgt9stv9/ft8bj8UypGwAAACyrZ56SPvmD9fqnn5pcLwDgJI/Ho9XV1b419XpdzWZzSh31mtsg7ODgQD/84Q91+fJlJRIJ/eQnP3G6JTjA7/dzaiQAAAAc91JYeuN31k+NfJnzugAsKCvbE7VPjXTCXG+Wb5qmisWiYrGYzpw5o5/+9Kf69a9/rS+++MLp1gAAAAAskfPnpHeetVZ7/TnJc26i7QAATjG3M8LaWq0/7TZcqVRUqVSUzWbl9Xp1+fJlxWIx/exnP+s7xrvvvquf//znk24VAAAAwIxxuw73ZRxUY8WLF6RXyv1rbsYP6wAAzpjbGWFvv/22Wq2WXC6XQqGQpMNQrP1ycHCgYrGoRCKhM2fO6NKlS/r1r3+t3//+98fG2trammrvhmEoFotZrk2lUgqFQnK5XPL5fIpEIkqlUjIMY2b6lKR8Pq9YLCafz9f5vCQSCVUqlQl2CQAAAIzO5ZLOuPu/2HmK7wuEYADgqLkNwjKZjLa3t/XDH/5Q+/v7KpfLKpVKev755+X1eiX1BmPValXZbFaRSESPP/64rly5onfffVfvvvuuyuUBv7axyDRNuVyugS+hUEjBYHDgePl8XqFQSMVisRN6maaparWqYrGoUCikfD7veJ+VSkU+n0/ZbFaSVCqVVKvVlMvlVK1WFYvFFIvFZJrm0L0CAAAAAADYZa6XRobDYdVqNWWzWSUSCaVSKZVKJUnSvXv3VC6XtbW1pUql0rOE8uDgQOVy2bYArK1YLFqubYdGp4nFYqpUKvJ6vYpGowoGgzIMQ9VqtWcmWDabVTAYVDwed6TPSqXSmTWWTCa1ubnZeV+7r0gkokqlokgkop2dnU5QCQAAAAAAME2uVndCNMeq1aouX74st9utUqmkv/zLv+x5/507d1QqlVSpVI4tKXS5XHr48OHYPfh8PkuznqLRaN/lmNlsVvl8XrlcTplM5tj78/n8sYBqmE+jXX2apqknnnhCpmkqGAyqVqudWGcYRmf56qAxrWqfMLG6usqpkQDmzsOmdPbN/jXfXTtcjmPHWP9vXHo5Yr0/AMBo7Pz5DgCLzMln+rmeEdYtHA7rn//5n5VKpRQOh5XNZvXWW2913r+2tqa1tTVJ0v3793X79u1OMGaHYrEo0zSVyWQG7qt18eLFU99nGIby+by2trYUjUZPrMlkMqrVaj0zu6rVqsLhwWcw29WnJCUSiU6g1m/mWHtmWLlcVqVSUbFYVDKZHNgrAGCw9+8OrnmlfPjQxebMAAAAWHYLMyOsW6VS0eXLl/Xnf/7nJ84OO1r705/+dOwZYe0ZT6fNirIqkUjo0qVLJ84E62aapnw+X+ft02aPTarP7lle0uFy035LHsvlshKJhCTJ6/Xq4OBgrOszIwzAPLNrxsD9B9LqW9JX3w6+5mOPSHtXJc85630CAIbDjDAAsMbJZ/qF/BEcjUZlGIb+8i//UuFwWL/5zW/61rZnio2qXC7LMIyB+2lZ0Z6tNYjX6+3ZyN7Kvlt29pnL5TqvR6PRgdfv3sPMNE3b92cDgEVjZabXe1VrIZgkffmNdLM6Xk8AAADAvFvIIEw6DIZKpZJu3bql119/Xf/u3/07/cu//MuJte2ZSqPa2NiQ1+vV5cuXxxpH0lD7Z+3v73deH7SMUbK3z+5lmVaWZErqCe5u3bo1dg8AMK+sLmccVPfR58Nd9+Mh6wEAAIBFs7BBWFs8Htf+/r7Onz+vYDB44uyw9fX1kcevVquqVqudpYqhUEipVGriM55M0+zszxWNRgeGUXb2Wa32Tim4dOmSpY/r7pEZYQCW1f0H0msfWqt99QOp8eD09x98Pdy1h60HADin1TpcatnvZfE2uQGAyVv4IEw6nB22tbWljY2NgbPDhnV0maFhGCoWi0okEnK5XEokEseCIzvcvn1b0uEsq1KpNNU+jx4w0D3Tq5+jdZP4ewGAWWfnckbfo8Nde9h6AIBzmq3D/cb6vTQJwgBgaEsRhEnSF198oYsXLyqTyWh7e1vBYFB///d/P9aYhmEMPHWyXC4rEokolUqNda1upml2Tsfc2toauD+X3X1+9tlnPW9b2Z9Mkh5//PGet7e3ty19HAAsEjuXMz7z1HBjPT1kPQAAALBozjrdgB2++OILGYYh0zRlGIZqtZoMw5BhGNrf3+8sIWxzuVxqtVpKJpMqlUoqlUr6sz/7s6GvGwwGtbm5KdM0VavVVKlUZBjGibXFYlHb29va2dkZ5RY7DMNQLBaT1+vVnTt3LIVQdvd59GNHnRE27smVADCP7FzO+FJYeuN31k+NfNnalo4AgBG5XYenQg6qAQA4Z26DsEuXLnXCr35afRbOt1otffLJJ/rJT35ybJaTVclksudt0zRVLBa1sbFxrLdqtapYLDbUhvjdyuVyz8b+Pp9PuVzO0imTdvZ5Wog2rEGfOwBYRHYuZzx/Tnrn2cON9Qe5/pzkOTfctQEAw3G5pDMEXQAw01ytfknRDHO73Z2ZXf14vV4Fg8HOSygU0srKSuft8+fPT6zHcrms9fX1Y4GP1fBK+lNgtbm5eWoAFY/HLe0TZlefLlfvv+5Wv4QqlYpisVjn7XH6DgQC2tvbk9vtlt/vH2mMbul0Wul0euxxAGCQ//rfpf/wkfX6v31G+uWPT3//w+bhPjH93IxLL0WsXxMA4DwrP9+/uyadWZrNbgDMgkKhoEKhMPY49XpdzWZTq6ur2t3dtaEz6+Z2Rlg3n8+ny5cv9wRekw65rIjH44pGo1pbW+vZGH5jY8NyEFapVFSr1RSNRk/d66tcLiufz1secxJ9jsKOGWHNZlN7e3tjj9NoNMYeAwCscGI54wsXxh8DAAAAaDQatjyDO2mug7Dnn39ehmGoWq2qWCwqHo/L5/PJ5/M5HoK1eb1e7ezsKBKJdEIm0zRVqVQUjUYHfnw8Hlc8Hu/5s2KxqGw22xMkZbNZJZNJyxvXj9On1+u1JcQatdduds0I83g8Y48BYPG1WoNP6HK7DpfGnIbljAAAAJhXHo9Hq6urY4/TnhHmhLkNwqLRqG7fvi1Jun//vra2tnT79m1lMhndv39fwWBQ0WhUly9f1l/91V/1HevTTz/VT37yk4n2e+PGDUUif1qXsrW1ZSkIO0kymVQ0GlUkEukJpIrF4tgzuKz0ubKyYksQtrKyMvYYfr9/6tMoASyv9lH2/Xx3bfD+MC9eGByE3Ywf1gEAAACzwq5thdrbHTlhbleUd+81df78ecXjcd2+fVv7+/v67LPP9LOf/UyfffaZ1tbWdObMGV26dEm/+c1v9Pvf//7YWJubmxPvNxwO9wRK4244HwwGdefOnZ4/G3XD/25W+hx1JtfR8MyOGWEAsKhYzggAAADYb26DsNdff/3U94XDYeVyOW1vb+vg4EC3bt3SE088oWvXrikSiejxxx/XlStX9Otf/1q//vWvVS5bWJ9ig+7wzg7hcLhn2aRdpzkO6vPixYs9b1udHba/v9/zdigUGqovAAAAAMNrtQ433+/3Mp9HqAHA8OZ2aaRV7dli7cCoWq3q1q1b+u1vf6tSqXTsBMRJCgaDndftWBYoSVeuXOkEeXYsV5QG99m9dFI6DODC4cG7OddqtZ63R10aCgAAAMA6u5b2A8AimNsZYaNqzxb753/+Z21vb098b7Bu3QGTXcsCuwMou8Yc1OfRGWFWZ6J1B3Ver7fnOgAAAAAAAJO2dEFYt3A4rK2tLV24MJ2NWLa3tzuv271MUjoeUI1qUJ/hcLgnILO6N1n3uHb1CgAAAAAAYNVSB2FtuVxuKtfpXhpo17LA7tlYdoVrVvq8fPly5/VqtWpp3O66bDY7YncAAAAAJOn9u053AADzhyBM0tra2lSu097LK5PJ2DZmO1zyer09G+ePw0qfqVSq83qlUhk4ZndNMBhkfzAAAACgDysh1ytlwjAAGNZcbJb/61//WuFweKr7edmtXC7LMAx5vV5dvXrVtnE3NjYkSTdu3LBlPKt9hsNhRaPRTsBVLpf7BnGlUqnzOrPBAMA+btfhBseDagAA8+P+A+m1D63VvvqB9MyPJM+5ibYEAAtjLmaE/Y//8T8Ui8X093//92ONc+PGDZ05c0b/1//1f+l//s//OdZYlUpFPp9PLpdLsVis7/JAwzC0vr4uSbpz507fTe3z+bwikYiy2ezAUyDbNZlM5tQQalJ9StLm5mbn9XYgdxLTNFUsFiUdLrVMJpN9xwUAWOdySWfc/V+meEAyAMAG71Wlr761VvvlN9JNazuVAAA0J0GYJLVaLSWTSf3qV78aeYxsNqtWq6V//ud/Vjgc1hdffDHyWKVSqRNUVSoVRSKRnuWCbe33raysqFar9ZzyeJRpmspms6pWq8rn8/L5fKfOnkokEsrn88rlcn33OJtEn23BYLAz06vd80naS0+9Xm/PzDAAAAAAx330+XD1Hw9ZDwDLbG6CsLZPPvlEV65cGeljn3jiCQWDQSWTSa2vr4+1RC+RSBz7s2KxKJ/Pp0QioVQqpUgkolgspmQyqZ2dHQWDwb5jer3eYzXtQCyRSCibzSoWi8nn80k63NR+0H5jk+izWzwe19bWlrxer7LZrBKJhKrVqkzT7IRr1WpV4XBY9+7dGzjLDAAAAFh2B19Pth4Altlc7BHWbXt7W4lEQpcuXdKnn36qP/uzP7P8sTs7Oz1vP/nkkyP3EY1GVavVlMvlVKlUtL+/35l51Q5+rl69qmg0OlT4s7Ozo42NDVUqFRmG0TOmdBhslUoly2NOqs+j1zg4OFA+n9etW7e0trYm0zTl9Xp18eJFlUol2zbyBwAAABad79HJ1gPAMpu7IEw6XO6Xz+cVDodVqVT0gx/8YOgx7t27p/39/bH6CAaDPftk2cHr9fZd6jiKSfR5kkwmY+uJmACwqNjgHgDQzzNPSZ/8wXr9009NrhcAWDRztzSyLZPJ6O/+7u8UDof1T//0T0N97P379xWLxXTx4sUJdQcAwOnY4B4A0M9LYen737NW+9gj0suDt/cFAPwfcxuESYdL8j777DOtr69bPlHy008/VTAY1L17907cPwsAgHG8f9fpDgAA8+78OemdZ63VXn9O8pybaDsAsFDmOgiTDpf9bW9v69atWwNPlPybv/kbxWIxHRwcyOv16uc///mUugQALAIrIdcrZcIwAMD4XrwwuOZm3FqdFfzbBWBZzH0QJh3uq/XJJ59of3//1BMlr169qjfeeEOtVksul8v2fbjgjHq9rkAg0PelUCg43SaABXD/gfTah9ZqX/1AajyYaDsAAOgFiyEYv8gBME2FQmHgc3q9Xnesv7ncLP80169fV7FYPHai5J07d5TL5eRyueRyuRQOh5kNtiCazab29vb61jQajSl1A2CRvVeVvvrWWu2X30g3q9IvfzzZngAAGGTYX+Q88yOWWgIYT6PRGPic7qS5C8L+6Z/+SX/1V3916vuTyaQuXryon/zkJyqXy/rBD37Qmf3FbLDF43a75ff7+9Z4PJ4pdQNgkX30+XD1H39OEAYAcB6/yAEwbR6PR6urq31r6vW6ms3mlDrqNRdB2BNPPCHpMMhKJpOqVCr6wQ9+cGp9OBzWrVu39Pzzz+tXv/qVKpWKXC6XWq2WwuGwfvKTn0yrdUyY3+/X7u6u020AWAIHX0+2HgCASeAXOQCmLZ1OK51O960JBAKOzRqbiz3CcrmcDg4OVCqVtLa2pmg0qnfffbfvx7Q30b9+/Xrnz1wu16l7iAEA0I/v0cnWAwAwCfwiBwB6zcWMMEk6f/68nn/+eT3//PNDfdwnn3yibDarv/mbv+nsDwYAwLCeeUr65A/W659+anK9AABgFb/IAYBeczEjbFy5XE63b99Wq9XSvXv3nG4HADCHXgpL3/+etdrHHpFe5vcuAIAZ8MyQv5jhFzkAFt1SBGGSFI/Htb29rVu3bjndCgBgDp0/J73zrLXa689x4hYAYDbwixwA6LU0QZh0uIn+J5984nQbAIA59eKFwTU349bqAACYBn6RAwC9lioIAwBg0l4gBAMAzBh+kQMAfzI3m+UDADCKVktqtvrXuF2SyzWdfgAAmEX8IgfAsiAIAwAstGZLOvtm/5rvrklnCMIAADPE7Tr892lQDQBgOARhAAAAADBjXC5+SQMAk8AeYQAAAAAAAFgKzAgDAAAAAFjC3psA5h1BGAAAAADAEvbeBDDvWBoJAAAAAACApUAQBgAAAAAAgKVAEAYAAAAAAIClwB5hmGv1el2BQKBvTTqdVjqdnlJHAAAAAAAsr0KhoEKh0LemXq9PqZvjCMIw15rNpvb29vrWNBqNKXUDAAAAAMByazQaA5/TnUQQhrnmdrvl9/v71ng8nil1AwAAAADAcvN4PFpdXe1bU6/X1Ww2p9RRL4IwzDW/36/d3V2n2wCwJNyuwyPhB9UAAAAAy8rK9kSBQMCxWWMEYQAAWORySWcIugAAc4Zf5ADAnxCEAQAAAMAC4xc5APAnbqcbAADAae/fdboDAAAAANNAEAYAWGhWQq5XyoRhAAAAwDIgCAMALKz7D6TXPrRW++oHUuPBRNsBAAAA4DCCMADAwnqvKn31rbXaL7+RblYn2w8AAAAAZxGEAQAW1kefD1f/8ZD1AAAAAOYLQRgAYGEdfD3ZegAAAADzhSAMALCwfI9Oth4AABzHATQAZhlBGABgYT3z1HD1Tw9ZDwDAsuE0ZgDzjiAMALCwXgpL3/+etdrHHpFeDk+2HwAA5hmnMQNYBARhAICFdf6c9M6z1mqvPyd5zk20HQAA5hqnMQNYBARhAICF9uKFwTU349bqAABYZpzGDGAREIQBAJbeC4RgAAAMxGnMABYBQRgAAAAAYCBOYwawCM463QAwjnq9rkAg0LcmnU4rnU5PqSMAdmi1pGarf43bJblc0+kHAAAcnsb8yR+s13MaM7CcCoWCCoVC35p6vT6lbo4jCMNcazab2tvb61vTaDSm1A0AuzRb0tk3+9d8d006QxAGAMDUvBSW3vidtQ3zOY0ZWF6NRmPgc7qTCMIw19xut/x+f98aj8czpW4AAACAxdU+jfmV8uBaTmMGlpfH49Hq6mrfmnq9rmazOaWOehGEYa75/X7t7u463QYAAACwFF68MDgI4zRmYLlZ2Z4oEAg4NmuMzfIBAAAAALbhNGYAs4wgDAAAAAAAAEuBIAwAAAAAAABLgSAMAAAAAAAAS4EgDAAAAAAAAEuBIAwAAAAAAABLgSAMAAAAAAAAS4EgDAAAAAAAAEuBIAwAAAAAAABL4azTDQAAMElul/TdtcE1AAAAABYfQRgAYKG5XNIZgi4AAAAAYmkkAAAAAAAAlgRBGABgLr1/1+kOAAAAAMwblkYCAGaOlZDrlbJ0xi29eGHy/QAAgEPsvQlg3jEjDAAwU+4/kF770Frtqx9IjQcTbQcAAHRxuQ5/EdXvxUUQBmCGEYQBAGbKe1Xpq2+t1X75jXSzOtl+AAAAACwOlkZirtXrdQUCgb416XRa6XR6Sh0BGNdHnw9X//Hn0i9/PJleAAAAAAynUCioUCj0ranX61Pq5jiCMMy1ZrOpvb29vjWNRmNK3QCww8HXk60HAAAAMDmNRmPgc7qTCMIw19xut/x+f98aj8czpW4A2MH36GTrAQAAAEyOx+PR6upq35p6va5mszmljnoRhGGu+f1+7e7uOt0GABs985T0yR+s1z/91OR6AQAAADAcK9sTBQIBx2aNsVk+AGCmvBSWvv89a7WPPSK9HJ5sPwAAAAAWB0EYAGCmnD8nvfOstdrrz0mecxNtBwAAAMACIQhzgGEYisVilmtTqZRCoZBcLpd8Pp8ikYhSqZQMwxjp+tVqtWdMl8ulUCikbDYr0zRHGtOqYe4dwPJ68cLgmptxa3UAAGD2tFrSw2b/l1bL6S4BLCKCMBuZptkJlvq9hEIhBYPBgePl83mFQiEVi8VO6GWapqrVqorFokKhkPL5/FD9JRIJRSKRnjGlw4Aqn8/L5/OpWCw6fu8AMMgLhGAAAMytZks6+2b/lyZBGIAJYLN8Gw0TIGWz2b7vj8ViqlQq8nq9ikajCgaDMgxD1Wq1J8DKZrMKBoOKx+N9xzNNU5FIxNIsslQqpZ2dHW1ublq7Gdl77wAAAAAAAJNAEGajjY0NS3XtYOs02WxWlUpFuVxOmUzm2Pvz+XxPmJRIJNQaMG84kUjIMAyFw2FdvXpV4fDh7tLValWfffbZsZllxWJRsVhsYMDWZte9AwAAAAAATApBmE2KxaJM01Qmkxm4B9bFixdPfV97ieLW1pai0eiJNZlMRrVarWcWVrVa7YRbJ/VWqVSUyWSUy+V63teeTZZKpZRIJFStVjvvW19ftxSE2XXvAAAAAAAAk+RqDZpKBEtCoZAkqVarjTVOIpHQpUuXTpwJ1s00Tfl8vs7bp80ea/cWDAa1tbXVd0zDMDr30dYvkOseXxr/3ocRCAS0t7en1dVV7e7uTu26AKbjYfNwb5B+vrsmnWGnSwAA5hL/1gPLzclnen6s2KBcLsswDFv2vmrPrBrE6/X2LDH0er0n1rX3FCuVSgPHDAaDx2aMdc8QO4md9w4AAAAAADBJBGE22NjYkNfr1eXLl8cea9CsrW77+/ud109bcnjr1i0lk8lTg7Kjjs7++uMf/9i33s57BwAAAAAAmCT2CBtTtVrtzJry+XwKBoOKRqNDbTQ/CtM0ZZqmpMPw6rT9wa5cuTLU5vRHxzm6VLKbU/cOAAAAAAAwCmaEjenokkDDMFQsFpVIJORyuY5tQG+X27dvSzpczthv2WM4HLY8G0xSJ1xrG3S6Zbdp3TsAAAAAAMAoCMLGYBiGKpVK35pyuaxIJKJUKmXbdU3TVCqVUjgc1tbW1lBB1yCGYfS8fdpG+U7dOwAAAAAAwKhYGjmGYDCozc1NmaapWq2mSqVyLEhqKxaL2t7e1s7OzljXNAxDsVhMXq9Xd+7csTUEk6Tt7e3O68lk8tQ6J+4dAAAAAABgHARhYzoaFpmmqWKxqI2NjWPLDKvVqmKx2FAb4ncrl8tKJBKdt30+n3K5nKVTJq3a3NzsvD7oJMhp3jsAAAAAAMC4XK1Wq+V0E4uqXC5rfX39WCg0THjVDpc2NzdPnXEVj8f77hNmlWEYnc3xxw3Y7Lj3fgKBgPb29uR2u+X3+8ceL51OK51Ojz0OAHs8bEpn3+xf89016QwL/AEAmEv8Ww/Mp0KhoEKhMPY49XpdzWZTq6ur2t3dtaEz6wjCJsw0Ta2trfVsGu/1enVwcGDp48vlcmcWVb99uewImFKplIrFooLBoGq12lhjSePfez/tIMwu//k//2f99V//tW3jAcuo1ZKaA/5Fcbskl2vwWPznGACAxca/9cB8+uu//mv9l//yX2wbjyBsgUUikZ5AaGtr69SN6AcpFovKZrPHZlsdHByMvGdYtVpVJBKR1+vVzs5O39Mih2XnvbcxIwyYPXb+h9bOUA0AAMwegjBgPi3CjDD2CJuSGzduKBKJdN4eJwxKJpOKRqOKRCI9YVixWBx5Vtj6+rok6c6dO7aGYJK9936U3++f+jcNgMlzuaQzhFwAACy19+9KL0cG1wGYHrsmkdi9ymsY5OtTEg6He8Kf0/b7sioYDOrOnTs9f/bZZ5+NNFYqlVK1WlWpVFI4HB6rr5PYfe8AAAAA5tv7dwfXvFK2VgcAwyAIm6JYLGbreOFwWPF4vPP2KAFTsVjsbMbfPZbd7L53AAAAAPPp/gPptQ+t1b76gdR4MNF2ACwZgrAp6l5yuLKyYsuYV65c6bx+dM+wQSqVilKplDY3N5VMJm3p5zSTuHcAAAAA8+e9qvTVt9Zqv/xGulkdXAcAVhGETVF3GDTqpvZHdS9lHGbMarWqWCymXC438RBMmsy9AwAAAJg/H30+XP3HQ9YDQD8EYVO0vb3deX0SSwUvXrxoqc4wDK2trSmTyYy8uf6wJn3vAAAAAObDwdeTrQeAfgjCpqhWq3Vet+vUxO59wawETIZhKBKJKJlMKpfLWb5GPp8fuUdpMvcOAAAAYP74Hp1sPQD0QxA2ReVyWZJsnYVVrR4umPd6vQM3uzdNU7FYTJcvX7YcgklSIpEYO7yaxL0DAAAAmD/PPDVc/dND1gNAP2edbmBZlMtlGYYhr9erq1ev2jbuxsaGJOnGjRt960zTVCQSUTAYVDabtXTCpGEYymazknr3IhvWpO4dAAAAwPx5KSy98TtrG+Y/9oj08oBHkVZLarb617hdkstlvUcAi4sgbESVSkWJREKmaSoajSqXy50aFhmGofX1dUnSnTt3+m4Wn8/ndevWLUWjUV29erVvbTablWmaymQyA2eDra2tyTAMGYahUCg08P66bW5u9rw9qXsHAAAAsPjOn5PeeVZ6pTy49vpzkudc/5pmSzr7Zv+a765JZwjCAIilkSMrlUoyTVPSYTAUiUSUSqWO1bXft7Kyolqt1ndmlWmaymazqlaryufz8vl8nRlZRyUSCeXzeeVyuYHLHCORSGcJ5SiOnio5iXsHAAAAsDxevDC45mbcWh0ADIMgbESJROLYnxWLRfl8PiUSCaVSKUUiEcViMSWTSe3s7CgYDPYd0+v1HqtpB2KJRELZbFaxWEw+n0/S4Qb0g/bcSiQStoZg7TGPGvfeAQAAAKDbC4RgACaApZEjikajqtVqyuVyqlQq2t/f78ySqlarCofDunr1qqLR6FDLAXd2drSxsaFKpSLDMHrGlA5DqFKpZHnMUqk0xF1ZM6l7BwAAAAAAmCSCsDEEg8Fj+2eNy+v1DnWio1Mmce8AAAAAAACTxNJIAAAAAAAALAWCMAAAAAAAACwFlkZirtXrdQUCgb416XRa6XR6Sh0B6Of9u9LLEae7AAAAADAphUJBhUKhb029Xp9SN8cRhGGuNZtN7e3t9a1pNBpT6gZYbu/fHVzzSlk64+YodAAAAGBRNRqNgc/pTiIIw1xzu93y+/19azwez5S6AZbX/QfSax9aq331A+mZH0mecxNtCQAAAIADPB6PVldX+9bU63U1m80pddSLIAxzze/3a3d31+k2gKX3XlX66ltrtV9+I92sSr/88WR7AgAAADB9VrYnCgQCjs0aY7N8AMDYPvp8uPqPh6wHAAAAADsQhAEAxnbw9WTrAQAAAMAOLI0EgCXXaknNVv8at0tyuU5/v+/R4a45bD0AAAAA2IEgDACWXLMlnX2zf81316QzfYKwZ56SPvmD9Ws+/ZT1WgAAAACwC0sjAQBjeyksff971mofe0R6OTzZfgAAAADgJMwIAwCM7fw56Z1npVfKg2uvPyd5zk28JQAAMMPcrsMZ54Nq7PL+XenliH3jAZhfzAgDANjixQuDa27GrdUBAIDF5nJJZ9z9X/rtT9rt/buDa14pW6sDsPgIwgAAU/MCIRgAALDR/QfSax9aq331A6nxYKLtAJgDBGEAAAAAgLn0XlX66ltrtV9+I92sTrYfALOPIAwAAAAAMJc++ny4+o+HrAeweAjCAAAAAABz6eDrydYDWDwEYQAAAACAueR7dLL1ABYPQRgAAAAAYC4989Rw9U8PWQ9g8RCEAQAAAADm0kth6fvfs1b72CPSy+HJ9gNg9hGEAQAAAADm0vlz0jvPWqu9/pzkOTfRdgDMAYIwAAAAAMDcevHC4JqbcWt1ABbfWacbAMZRr9cVCAT61qTTaaXT6Sl1BAAAAGDWvEAIBkxNoVBQoVDoW1Ov16fUzXEEYZhrzWZTe3t7fWsajcaUugEAAAAAYLk1Go2Bz+lOIgjDXHO73fL7/X1rPB7PlLoBAAAAAGC5eTwera6u9q2p1+tqNptT6qgXQRjmmt/v1+7urtNtAAAAAAAAWdueKBAIODZrjM3yAQADvX/X6Q4AAAAAYHwEYQCw5KyEXK+UCcMAAAAAzD+WRgLAErv/QHrtQ2u1r34gPfMjyXPu5Pe7XdJ31/qP4XYN1R4AAMBUtVpSs9W/xu2SXPyfBphbBGEAsMTeq0pffWut9stvpJtV6Zc/Pvn9Lpd0hv8UAgCAOdZsSWff7F/z3TX+zwPMM5ZGAsAS++jz4eo/HrIeAAAAAGYJQRgALLGDrydbDwAAAACzhCAMAJaY79HJ1gMAAADALCEIA4Al9sxTw9U/PWQ9AAAAAMwSgjAAWGIvhaXvf89a7WOPSC+HJ9sPAAAAAEwSQRgALLHz56R3nrVWe/05yXNuou0AAAAAwEQRhAHAknvxwuCam3FrdQAAAAAwywjCAAADvUAIBgAAAGABnHW6AQAAAAAARuV2Sd9dG1wDABJBGAAAAABgjrlc0hmCLgAWsTQSAAAAAAAAS4EZYZhr9XpdgUCgb006nVY6nZ5SRwAAAAAALK9CoaBCodC3pl6vT6mb4wjCMNeazab29vb61jQajSl1AwAAAADAcms0GgOf051EEIa55na75ff7+9Z4PJ4pdQMAAAAAwHLzeDxaXV3tW1Ov19VsNqfUUS+CMMw1v9+v3d1dp9sAAAAAAACytj1RIBBwbNYYm+UDAAAAAABgKRCEAQAAAAAAYCkQhAEAAAAAYNH7d53uAMA4CMIAAAAAAJC1kOuVMmEYMM8IwgAAAAAAS+/+A+m1D63VvvqB1Hgw0XYATAhBGAAAAABg6b1Xlb761lrtl99IN6uT7QfAZBCEAQAAAACW3kefD1f/8ZD1AGYDQRgAAAAAYOkdfD3ZegCzgSAMAAAAALD0fI9Oth7AbDjrdAMAAGe5XdJ31wbXAAAALLJnnpI++YP1+qefmlwvACaHGWEAsORcLumMu/+LiyAMAAAsuJfC0ve/Z632sUekl8OT7QfAZBCEAQAAAACW3vlz0jvPWqu9/pzkOTfRdgBMCEEYAAAAAACSXrwwuOZm3FodgNlEEAYAAAAAgEUvEIIBc40gDAAAAAAAAEuBUyMx1+r1ugKBQN+adDqtdDo9pY4AAAAAAFhehUJBhUKhb029Xp9SN8cRhGGuNZtN7e3t9a1pNBpT6gaYnlZLarb617hdnPYIAAAAYLoajcbA53QnEYRhrrndbvn9/r41Ho9nSt0A09NsSWff7F/z3TXpDEEYAAAAgCnyeDxaXV3tW1Ov19VsNqfUUS+CMMw1v9+v3d1dp9sAAAAAgB7M4MeysrI9USAQcGzWGEEYAAAAAAA2YwY/MJs4NRIAAAAAAABLgSDMAYZhKBaLWa5NpVIKhUJyuVzy+XyKRCJKpVIyDGPkHvL5vGKxmHw+n1wul0KhkBKJhCqVykyNCQAAAAAAYBeCMBuZpimXyzXwJRQKKRgMDhwvn88rFAqpWCx2Qi/TNFWtVlUsFhUKhZTP54fqsVKpyOfzKZvNSpJKpZJqtZpyuZyq1apisZhisZhM03R0TAAAAAAAALuxR5iNisWi5dp2aHSaWCymSqUir9eraDSqYDAowzBUrVZ7ZoJls1kFg0HF4/GB16xUKp2ZaMlkUpubm533tceIRCKqVCqKRCLa2dmR1+ud+pgAAAAAAACTwIwwG21sbFiqawdbp8lms6pUKsrlcjo4OFCpVFIul+uZadUtkUgMvKZpmp26YDDYE1h1K5VKkg6XZA4adxJjAgAAAAAATAozwmxSLBZlmqYymczA/b8uXrx46vsMw1A+n9fW1pai0eiJNZlMRrVarWcGWrVaVTgcPnXcRCLRWZrYbzZaexZXuVxWpVJRsVhUMpmc2pgAAAAAAACT4mq1Wi2nm1gEoVBIklSr1cYaJ5FI6NKlS8pkMn3rTNOUz+frvJ3L5U79GMMwOv1J0sHBQd/lieVyuTNzy+v16uDgYCpjDiMQCGhvb0+rq6va3d0dayxgHj1sWjyOm3m/AAAAltn5fyz+vwaczslner7lbFAul2UYxsB9v6xozyobxOv19iyv7BdCdS+ljEajA/fo6t5vzDRNlcvlqYwJAAAAAAAwSQRhNtjY2JDX69Xly5fHHmtra8ty7f7+fuf1fsstu5dQ9ls+2a07ZLt169ZUxgQAAAAAAJgk9ggbU7VaVbValST5fD4Fg0FFo1HFYjFLJzmOyjTNzv5c0Wj01DCq3VvbpUuXLI0fDoc7p1Menb01iTEBAAAAwGlu1+FyxUE1AOYXM8LGdHQ5pGEYKhaLSiQScrlcSiQSx4IjO9y+fVvS4Syr9qmMJ6lUKj1v9zutsl9d9z1MYkwAAAAAcJrLdbhnV78XF0EYMNcIwsZgGMaxUOiocrmsSCSiVCpl23VN01QqlVI4HNbW1lbf/bk+++yznrcH7eXV9vjjj/e8vb29PdExAQAAAAAAJo2lkWMIBoPa3NyUaZqq1WqqVCqdpX9HFYtFbW9va2dnZ6xrGoahWCwmr9erO3fuDAyhjvYz6uyt7tMwJzEmAAAAAADApDEjbEzJZFKZTEabm5uq1Wo6ODhQLpc7MaCqVquKxWIjX6tcLisUCskwDJmmKZ/Pp3w+3/djTgvmhtXej2xSYwIAAAAAAEwaQZjNvF6vMpmMDg4OVCqVjgVilUplYHjVzTRN5fN5hUIhJRKJY+/PZrMn/nn3x4/iaN/dJ1ROYkwAAAAAAIBJY2nkBMXjcUWjUa2trfVsDL+xsaFMJmNpjEqlolqtpmg0euqeZOVyWfl83vKYo5jE7C07xqzX6woEAmOPk06nlU6nxx4HmCXv35VejjjdBQAAAIBFUSgUVCgUxh6nXq/b0M1oCMImzOv1amdnR5FIpBOGmaapSqWiaDQ68OPj8bji8XjPnxWLRWWz2Z4gKZvNKplMHpt15fV6bQmcusedxJijajab2tvbG3ucRqMx9hjANL1/d3DNK+XDk41evDD5fgAAADA8fnGJedNoNGx5BncSQdiU3LhxQ5HIn37CbW1tWQrCTpJMJhWNRhWJRHoCqWKxeGxW2MrKii2h1crKykTHHJXb7Zbf7x97HI/HM/YYwLTcfyC99qG12lc/kJ75keQ5N9GWAAAAcAS/uMQi8ng8Wl1dHXucer2uZrNpQ0fDIwibknA4rGg02lnaOO6G88FgUHfu3OkJ1z777LNjdaPOujoadB2dEWb3mKPy+/3a3d0dexxgnrxXlb761lrtl99IN6vSL3882Z4AAADwJ/ziEovKrm2FAoGAYzPL2Cx/isY5MfIk4XC4Z9nkSeHaxYsXe962OpPr6Eb2oVBoomMCsO6jz4er/3jIegAAAIxnlF9cApgOgrApCgaDndftWBYoSVeuXOm8flIg1T1jTLI+E61Wq/W83b2McxJjArDu4OvJ1gMAAGA8/OISmF0EYVPUHYTZsSxQOpwV1m/Mo7O3rIZW3aGa1+vt6X0SYwKwzvfoZOsBAAAwHn5xCcwugrAp2t7e7rxu9zJJ6XhAJR0GZd0B2Un7iJ2ku9ej405iTADWPfPUcPVPD1kPAACA8fCLS2B2EYRNUffSQLuWBXbPxjotXLt8+XLn9WrV2uLz7rpsNjuVMQFY81JY+v73rNU+9oj0cnhwHQAAAOzDLy6B2UUQNkXlclmSlMlkbBuzHS55vd6ejfO7pVKpzuvtUyv76a4JBoMnhnaTGBOANefPSe88a632+nOcQAQAADBt/OISmF0EYVNSLpdlGIa8Xq+uXr1q27gbGxuSpBs3bpxaEw6He4KndiB3mlKp1Hn9tJlbkxgTgHUvXhhcczNurQ4AAAD24heXwOwiCBtRpVKRz+eTy+VSLBbruzzQMAytr69Lku7cudN3o/x8Pq9IJKJsNnviKZDd2jWZTObU2WBtm5ubndfb4dlJTNNUsViUdLh8M5lMTnVMAPZ5gRAMAADAMfziEphNBGEjKpVKnaCqUqkoEon0LBdsa79vZWVFtVqt55THo0zTVDabVbVaVT6fl8/nO3X2VCKRUD6fVy6XUy6XG9hvMBjszMpqj3+StbU1SYdLLbtncU1rTAAAAABYFvziEpg+grARJRKJY39WLBbl8/mUSCSUSqUUiUQUi8WUTCa1s7OjYDDYd0yv13usph2IJRIJZbNZxWIx+Xw+SYeb7w+z31g8HtfW1pa8Xq+y2awSiYSq1apM0+wEdtVqVeFwWPfu3es7c22SYwIAAAAAAEwCQdiIotGoarWaksmkgsFgT8BTrVa1v7+vq1ev6uDgQLlcznIAtLOzo0wmo3A4fGxMwzCUSCR07949lUqlgcHaaX23ezIMQ2tra52gbWVlRaVSSTs7O0MFVpMYEwAAAAAAwG6uVqvVcroJYFiBQEB7e3taXV3V7u6u0+0AU/ewKZ19s3/Nd9ekM/y6AwAAwBH8fw04nZPP9GenejUAWGKtltQc8KsHt0tyuabTDwAAAAAsG4IwAJiSZsvibwUJwgAAAABgIpiECQAAAAAAgKXAjDDMtXq9rkAg0LcmnU4rnU5PqSMAAAAAAJZXoVBQoVDoW1Ov16fUzXEEYZhrzWZTe3t7fWsajcaUugEAAAAAYLk1Go2Bz+lOIgjDXHO73fL7/X1rPB7PlLoBAAAAAGC5eTwera6u9q2p1+tqNptT6qgXQRjmmt/vn/pRqwAAAAAwLZw8jnljZXuiQCDg2KwxgjAAAAAAAGYUJ48D9uLUSAAAAAAAACwFgjAAAAAAAAAsBYIwAAAAAAAALAWCMAAAAAAAACwFNssHgDnkdh1uijqoBgAAAM7g/2vAbCIIA4A55HJxMhAAAMAs4/9rwGxiaSQAAAAAAACWAkEYAAAAAAAAlgJBGAAAAAAAAJYCQRgAAAAAAACWAkEYAAAAAAAAlgJBGAAAAAAAAJYCQRgAzJD37zrdAQAAAAAsLoIwAJgSKyHXK2XCMAAAAACYlLNONwCMo16vKxAI9K1Jp9NKp9NT6gg42f0H0msfWqt99QPpmR9JnnMTbQkAAAAAbFcoFFQoFPrW1Ov1KXVzHEEY5lqz2dTe3l7fmkajMaVugNO9V5W++tZa7ZffSDer0i9/PNmeAAAAAMBujUZj4HO6kwjCMNfcbrf8fn/fGo/HM6VugNN99Plw9R9/ThAGAAAAYP54PB6trq72ranX62o2m1PqqBdBGOaa3+/X7u6u020AAx18Pdl6AAAAAJgFVrYnCgQCjs0aY7N8AJgC36OTrQcAAMDy4rAlwDqCMACYgmeeGq7+6SHrAQAAsJg4eRywF0EYAEzBS2Hp+9+zVvvYI9LL4cn2AwAAgNk37MnjjQcTbQdYCARhADAF589J7zxrrfb6c5Ln3ETbAQAAwBwY5eRxAP0RhAHAlLx4YXDNzbi1OgAAACy+UU4eB9AfQRgAzJAXCMEAAADwf3DyOGA/gjAAAAAAAGYQJ48D9iMIAwAAAABgBnHyOGA/gjAAAAAAAGYQJ48D9iMIAwAAAABgBnHyOGA/gjAAAAAAAGYUJ48D9iIIAwAAAABgjnHyOGAdQRgAAAAAAACWAkEYAAAAAAAAlgJBGAAAAAAAAJYCQRgAAAAAAACWwlmnGwDGUa/XFQgE+tak02ml0+kpdQQAAAAAwPIqFAoqFAp9a+r1+pS6OY4gDHOt2Wxqb2+vb02j0ZhSNwAAAAAALLdGozHwOd1JBGGYa263W36/v2+Nx+OZUjcAAAAAACw3j8ej1dXVvjX1el3NZnNKHfUiCMNc8/v92t3ddboNAAAAAAAga9sTBQIBx2aNsVk+AAAAAAAAlgJBGAAAAAAAAJYCSyMBYErcLum7a4NrAAAAAACTQRAGAFPicklnCLoAAAAAwDEsjQQAAAAAAMBSIAgDAAAAAADAUiAIAwAAAAAAwFIgCAMAAAAAAMBSYLN8AAAAAABmFCePA/YiCAMAAAAAYEZx8jhgL5ZGAgAAAAAAYCkQhAEAAAAAAGApsDQSAPpotaRmq3+N23U4ZR0AAAAAMNsIwgCgj2ZLOvtm/5rvrrFvAwAAAADMA5ZGAgAAAAAAYCkwIwxzrV6vKxAI9K1Jp9NKp9NT6ggAAAAAgOVVKBRUKBT61tTr9Sl1cxxBGOZas9nU3t5e35pGozGlbgAAAAAAWG6NRmPgc7qTCMIw19xut/x+f98aj8czpW4AAAAAAFhuHo9Hq6urfWvq9bqazeaUOurlarVaA85DA2ZPIBDQ3t6eVldXtbu763Q7WGAPmxY3y2fHRQAAAACwxMlneh7dAAAAAAAAsBQIwgAAAAAAALAUCMIcYBiGYrGYpdpqtapUKqVQKCSXyyWXy6VQKKRsNivTNCfb6AQMc+8AAAAAAAB2IgizkWmanbCq30soFFIwGBw4ViKRUCQSUbFYlGEYnfcZhqF8Pi+fz6disWipN5/PZ6m3k15SqdRU7x0AAAAAAGASCMJsZDWUkqRsNnvq+0zTVCQSUblcHjhOKpUaGFSVy+WxZo9ZmcFl170DAAAAAABMCkGYjTY2NizVRaPRvrOiEomEDMNQOBxWqVRSrVZTrVZTqVRSJpM5Vl8sFvuGZpubm5b6Ok08Hh9YY9e9AwAAAAAATMpZpxtYFMViUaZpKpPJDJxBdfHixb7jVCoVZTIZ5XK5nvcFg0HF43GlUiklEglVq9XO+9bX108MrAzDUKVSUTAYVDabVTQa1crKysD7iUQiMgxD0Wh0YK1d9w4AAAAAADBJrlar1XK6iUUQCoUkSbVabexxgsGgtra2+tYZhtG5ZtvW1tax4CqbzapcLmtnZ0der9dSD91jb25uKplMDuxZGv/ehxEIBLS3t6fV1VXt7u5O7bpYPg+b0tk3+9d8d006w/xaAAAAALDEyWd6Ht1sUC6XZRjG2HtfVatVGYahUqk0sDYYDB6bMdY9Q6ytWCyqVCpZDsEk9SyzvHz58sBaO+4dAAAAAABg0gjCbLCxsSGv1zswNBrk1q1bSiaTlkOro7O//vjHPx6rKZVKCofDQ/fRHn9QL3bdOwAAAAAAwKSxR9iYqtVqZyaWz+dTMBhUNBpVLBaztMl8tytXrgy1kfzRgOvoUknpeFg2iGmanftJJBJ9a+28d2CevX9XejnidBcAAAAAgEGYETamo0sCDcNQsVhUIpGQy+U6tql9P+FweKgljKZp9rxtx2mMxWKx8/qgWV523jswq96/O7jmlbK1OgAAAACAswjCxtA+kbGfcrmsSCSiVCo1ket3G3b210nayyIHhXJO3zswDfcfSK99aK321Q+kxoOJtgMAAAAAGBNLI8cQDAa1ubkp0zRVq9VUqVSOhVNtxWJR29vb2tnZse3629vbndcHnexoRfeyyCtXrvStdfregWl4ryp99a212i+/kW5WpV/+eLI9AQAAAABGRxA2pqMBlGmaKhaL2tjYOLZ0sVqtKhaLaWtry5Zrb25udl6349TG27dvd163sseXk/cOTMNHnw9X//HnBGEAAACYXa2W1Gz1r3G7JJdrOv0ATnC1Wq0B3wYYVblc1vr6+rFQKJfLKZPJjDW2YRidzfHtGE+SIpGIqtWqwuHw2LO3JnnvkhQIBLS3tye32y2/3z/2eOl0Wul0euxxsFj+3f9X+mx3iPqA9P/7/0yuHwAAAGAcD5vS2Tf713x3TTrDJko4RaFQUKFQGHucer2uZrOp1dVV7e4O8dBlA2aETVA8Hlc0GtXa2lrPpvEbGxtjh0G5XE7S4RJFO4KlYZZFWjHJe+/WbDa1t7c39jiNRsOGbrBofI9Oth4AAAAA5kmj0bDlGdxJBGET5vV6tbOz05ltJR2GTpVKZeTN7avVqorForxer21LDYddFmnFJO79KLtmhHk8Hhu6waJ55inpkz9Yr3/6qcn1AgAAAABO83g8Wl1dHXuc9owwJxCETcmNGzcUiUQ6b29tbY0cBq2vr0uS7ty5o2AwaEt/7f3GgsGgbWO22XnvR/n9/qlPo8TyeCksvfE7axvmP/aI9HJ48j0BAAAAgFPs2laovd2RE1j5OyXhcLgn/DnthMVBUqmUqtWqSqWSwmF7nrq7l0XaNRusm133Dkzb+XPSO89aq73+nOQ5N9F2AAAAAABjIgibolgsNtbHF4tFFYtFbW5u2hpYdS+LtGN/sJOMe++AU168MLjmZtxaHQAAAADAWQRhU9S95HBlZWWoj61UKkqlUtrc3FQymbS1r1KpJOlwTy+7ZpkdNc69A7PuBUIwAAAAAJgLBGFT1B0Geb1eyx9XrVYVi8WUy+VsD8Ham9dLsn3sbqPeOwAAAAAAgF0IwqZoe3u787rVpYKGYWhtbU2ZTEaZTMb2nqaxLFIa7d4BAAAAAADsRBA2RbVarfO6lVMTDcNQJBJRMplULpezdA3DMJTP5y33NI1lkdLw9w4AAAAAAGA3grApKpfLkmRpZpdpmorFYrp8+bLlEEySEomE5aCpe1nk5cuXLV9jFMPcOwAAAAAAwCScdbqBZVEul2UYhrxer65evdq31jRNRSIRBYNBZbNZGYYxcHzDMJTNZiXJ8syu7mWRiUTC0seMYph7BwAAAAAAmBSCsBFVKhUlEgmZpqloNKpcLndqAGUYhtbX1yVJd+7cGbhZ/NramgzDkGEYCoVCQ/W1ublpubZ7WeQwyxUnee8AAAAAAACTwtLIEZVKJZmmKekwGIpEIkqlUsfq2u9bWVlRrVYbOFsrEomoWq2O3JfVkx+7l0UOu2fXpO4dAAAAAABgkgjCRnTSUsJisSifz6dEIqFUKqVIJKJYLKZkMqmdnR0Fg8GBY04jBJN6l0WeFGL1M4l7BwAAAAAAmDSWRo4oGo2qVqspl8upUqlof3+/M0uqWq0qHA7r6tWrikajlpcDtpcqTkP3tYadETaJewcAAAAAAJg0grAxBIPBofbkmiVbW1tjffw83zsAAAAAAFhOLI0EAAAAAADAUiAIAwAAAAAAkqT37zrdATBZLI0EsHBaLanZ6l/jdkku13T6AQAAAGaBlZDrlbJ0xi29eGHy/QBOIAjDXKvX6woEAn1r0um00un0lDrCLGi2pLNv9q/57pp0hiAMAAAAS+L+A+m1D63VvvqB9MyPJM+5ibaEBVUoFFQoFPrW1Ov1KXVzHEEY5lqz2dTe3l7fmkajMaVuAAAAAGA2vVeVvvrWWu2X30g3q9IvfzzZnrCYGo3GwOd0JxGEYa653W75/f6+NR6PZ0rdAAAAAMBs+ujz4eo//pwgDKPxeDxaXV3tW1Ov19VsNqfUUS+CMMw1v9+v3d1dp9sAAAAAgJl28PVk64E2K9sTBQIBx2aNEYQBQB9u1+F+YoNqAAAAgFnme3Sy9cC8cDvdAADMMpfr8NScfi+cPgkAAIBZ98xTw9U/PWQ9MC8IwgAAAAAAWHAvhaXvf89a7WOPSC+HJ9sP4BSCMAAAAAAAFtz5c9I7z1qrvf6c5Dk30XYAxxCEAQAAAACwBF68MLjmZtxaXaslPWz2f2m1xu8ZsBub5QMAAAAAAEnSCxZCMElqtqSzb/av+e6adIb9dDFjmBEGAAAAAACApUAQBgAAAAAAgKVAEAYAAAAAAIClQBAGAAAAAACApUAQBgAAAAAAgKVAEAYAAAAAAIClQBAGYCm9f9fpDgAAAAAA00YQBmDhWAm5XikThgEAAADAsiEIA7BQ7j+QXvvQWu2rH0iNBxNtBwAAAAAwQ8463QAwjnq9rkAg0LcmnU4rnU5PqSM47b2q9NW31mq//Ea6WZV++ePJ9gQAAAAAy6JQKKhQKPStqdfrU+rmOIIwzLVms6m9vb2+NY1GY0rdYBZ89Plw9R9/ThAGAAAAAHZpNBoDn9OdRBCGueZ2u+X3+/vWeDyeKXWDWXDw9WTrAQAAAACn83g8Wl1d7VtTr9fVbDan1FEvgjDMNb/fr93dXafbwAzxPTrZegAAAADA6axsTxQIBBybNcZm+QAWyjNPDVf/9JD1AAAAAID5RRAGYKG8FJa+/z1rtY89Ir0cnmw/AAAAAIDZQRAGYKGcPye986y12uvPSZ5zE20HAAAAADBDCMIALJwXLwyuuRm3VgcAAAAAWBwEYQCW0guEYAAAAACwdDg1EgAAAACAJeB2Sd9dG1wDLDJmhAEAAAAAsARcLumMu/+Ly8Yg7P279o0F2IUZYQBmRqslNVv9a9wue/9xBgAAADA8KyHXK+XDcI29eTFLCMIAzIxmSzr7Zv+a765JZwjCAAAAAMfcfyC99qG12lc/kJ75Eae1Y3awNBIAAAAAAFj2XlX66ltrtV9+I92sTrYfYBgEYQAAAAAAwLKPPh+u/uMh64FJIggDAAAAAACWHXw92XpgkgjCAAAAAACAZb5HJ1sPTBJBGAAAAAAAsOyZp4arf3rIemCSCMIAAAAAAIBlL4Wl73/PWu1jj0gvhyfbDzCMs043AIyjXq8rEAj0rUmn00qn01PqCAAAAAAW2/lz0jvPSq+UB9def07ynJt4S5ghhUJBhUKhb029Xp9SN8cRhGGuNZtN7e3t9a1pNBpT6gYAAAAAlsOLFwYHYTfjh3VYLo1GY+BzupMIwjDX3G63/H5/3xqPxzOlbgAAAAAAbS8Qgi0lj8ej1dXVvjX1el3NZnNKHfUiCMNc8/v92t3ddboNAAAAAAAga9sTBQIBx2aNsVk+AAAAAAAAlgIzwgAsHLdL+u7a4BoAAAAAwHIhCAOwcFwu6QxBFwAAAADgCJZGAgAAAAAAYCkQhAEAAAAAAGApEIQBAAAAAABgKRCEAZgr7991ugMAAAAAwLwiCAMwM6yEXK+UCcMAAAAAAKMhCAMwE+4/kF770Frtqx9IjQcTbQcAAADAlLRa0sNm/5dWy+kusSjOOt0AAEjSe1Xpq2+t1X75jXSzKv3yx5PtCQAAAMDkNVvS2Tf713x3TTrjmk4/WGzMCAMwEz76fLj6j4esBwAAAACAIAzATDj4erL1AAAAAAAQhAGYCb5HJ1sPAAAAAABBGICZ8MxTw9U/PWQ9AAAAAAAEYQBmwkth6fvfs1b72CPSy+HJ9gMAAAAAWDwEYQBmwvlz0jvPWqu9/pzkOTfRdgAAAAAAC+is0w0A46jX6woEAn1r0um00un0lDrCOF68IL1S7l9zM35YBwAAAMA5bpf03bXBNVg+hUJBhUKhb029Xp9SN8cRhGGuNZtN7e3t9a1pNBpT6gbT8AIhGAAAAOA4l0s6Q9CFEzQajYHP6U4iCMNcc7vd8vv9fWs8Hs+UugEAAAAAYLl5PB6trq72ranX62o2m1PqqBdBGOaa3+/X7u6u020AAAAAAABZ254oEAg4NmuMzfIBAAAAAACwFAjCAAAAAAAAsBQIwhxgGIZisZil2mq1qlQqpVAoJJfLJZfLpVAopGw2K9M0Z6ZPScrn84rFYvL5fJ0+E4mEKpXKBLsEAAAAAACwhiDMRqZpdsKqfi+hUEjBYHDgWIlEQpFIRMViUYZhdN5nGIby+bx8Pp+KxaKjfUpSpVKRz+dTNpuVJJVKJdVqNeVyOVWrVcViMcVisYkHdwAAAAAAAP2wWb6Nhgml2qHRSUzTVCQS6Qm/TpNKpbSzs6PNzU3L17arT+kwBGvPGksmkz19BINBxeNxRSIRVSoVRSIR7ezsyOv1Wr4+AAAAAACAXZgRZqONjQ1LddFotO9Mq0QiIcMwFA6HO7OrarWaSqWSMpnMsfpisahyuTz1Ptuz1qTD0Ou0MK5UKkk6nMnWrgcAAAAAAJg2ZoTZpFgsyjRNZTKZgftqXbx4se84lUpFmUxGuVyu533tGVapVEqJRELVarXzvvX1dcXj8an1KR0Gdu3ljv1mjrX7LpfLqlQqKhaLSiaTA3sFAAAAAACwk6vVarWcbmIRhEIhSVKtVht7nGAwqK2trb51hmF0rtm2tbWlaDQ6lT6PXv/g4KDvksdyudyZDeb1enVwcDDW9QOBgPb29rS6uqrd3d2xxsLseNiUzr7Zv+a7a9IZ5rICAAAAC4PngOXj5DM9X0Y2KJfLMgxj4H5ag1SrVRmG0VlK2E8wGDw2Y6x7htgk+5TUc+1oNDpw36/u2WqmaQ61lBMAAAAAAMAOBGE22NjYkNfr1eXLl8ca59atW0omk5Y3kz86++uPf/xj33q7+pR6N9wPh8OWPqZ7v7Fbt26N3QMAAAAAYDm8f9fpDrAo2CNsTNVqtTMTy+fzKRgMKhqNKhaLWdqzq9uVK1f6bk5/1NEA6uhSyUn1eXTm2aVLlyz32z4JkxlhAAAAAADJWsj1SvlwaeSLFybfDxYbM8LGdHSZoWEYKhaLSiQScrlcxza17yccDlueDSaps1F9W78Qzc4+K5WK5ev2q7N6PQAAAADAYrr/QHrtQ2u1r34gNR5MtB0sAYKwMRiGcSwUOqpcLisSiSiVSk3k+t1O2yjf7j4/++yznrethnePP/54z9vb29uWPg4AAAAAsJjeq0pffWut9stvpJvMp8CYWBo5hmAwqM3NTZmmqVqtpkqlciycaisWi9re3tbOzo5t1+8OkpLJ5NT6PPqxo84IG/fkSgAAAADAfPvo8+HqP/5c+uWPJ9MLlgNB2JiOBlCmaapYLGpjY+PY0sVqtapYLKatrS1brr25udl5fdBJkHb2eVqINqyj1wUAAAAALJeDrydbDxxFEGYzr9erTCajTCajcrms9fX1nsCnUqkon88rk8mMdR3DMDp7bOVyuaE22R+3z1EDrKNLKPf390cap1u9XlcgEBh7nHQ6rXQ6PfY4AAAAAADrfI9Oth72KhQKKhQKY49Tr9dt6GY0BGETFI/HFY1Gtba21rMx/MbGxthBWC6Xk3S43HDcsSbZZz92zAhrNpva29sbe5xGozH2GBif2yV9d21wDQAAAIDF8MxT0id/sF7/9FOT6wWDNRoNW57BnUQQNmFer1c7OzuKRCKdkMk0TVUqlVM3tx+kWq2qWCzK6/XatsxymD69Xq8tIdYwJ2Sexu12y+/3jz2Ox+MZewyMz+WSzhB0AQAAAEvjpbD0xu+sbZj/2CPSy+HJ94TTeTwera6ujj1OvV5Xs9m0oaPhEYRNyY0bNxSJRDpvb21tjRyEra+vS5Lu3Lkz9JLIQaz0ubKyYksQtrKyMvYYfr9fu7u7Y48DAAAAAJi+8+ekd56VXikPrr3+nOQ5N/GW0Idd2woFAgHHZpa5HbnqEgqHwz2B0qgbzqdSKVWrVZVKJYXD9kfhVvocdSbX0fDMjhlhAAAAAID59uKFwTU349bqgEEIwqYoFouN9fHFYlHFYlGbm5uKx+M2dXXcoD4vXrzY87bV2WFHN8cPhUJD9QUAAAAAWE4vEILBJgRhU9S9jHHYZYGVSkWpVEqbm5tKJpN2t9ZjUJ/dSycl67PbarVaz9ujLg0FAAAAAAAYBUHYFHUHTMMsC6xWq4rFYsrlchMPwaTBfR6dEWY1COueOeb1em3f3wwAAAAAAKAfgrAp2t7e7rxudZmkYRhaW1tTJpNRJpOZVGs9BvUZDod7ArLPPvts6HGPhmkAAAAAAACTRhA2Rd1LA60sCzQMQ5FIRMlkUrlcztI1DMNQPp8fuUfJWp+XL1/uvF6tVi2N212XzWZH7A4AAAAAAGA0BGFTVC4fngdrZWaXaZqKxWK6fPmy5RBMkhKJxNh7b1npM5VKdV6vVCoDx+yuCQaD7A+2QFot6WGz/0ur5XSXAAAAAABIZ51uYFmUy2UZhiGv16urV6/2rTVNU5FIRMFgUNls1tIeXIZhdGZZhcPhifcZDocVjUY7AVe5XO57kmWpVOq8zmywxdJsSWff7F/z3TXpjGs6/QAAAAAAcBpmhI2oUqnI5/PJ5XIpFov1XR5oGIbW19clSXfu3Bm4Uf7a2poMw1ClUlEoFLL00u6he6bWpPvc3NzsvL6xsXFqnWmaKhaLkg6XWk5jw38AAAAAAICjCMJGVCqVOqcgVioVRSKRYyFU9/tWVlZUq9UGztaKRCKW99w6ydGQaVJ9SodLHNszvarV6ql7k62trUk6PCmye2YYAAAAAADANBGEjSiRSBz7s2KxKJ/Pp0QioVQqpUgkolgspmQyqZ2dHQWDwYFj2hmCTarPbvF4XFtbW/J6vcpms517ME2zE65Vq1WFw2Hdu3dv4CwzAAAAAACASXG1WmxjPSrDMJTL5VSpVLS/vy/TNOX1erWysqJwOKwrV64oGo06Hv5Mq898Pq9bt27JMIzONS5evKhUKtV3/7BRBAIB7e3taXV1Vbu7u7aOjeE8bFrcI4zYHQAAAMAJeKZYPk4+0xOEYS4RhM0O/tECAAAAMA6eKZaPk8/0fBkBAAAAAABgKRCEAQAAAAAAYCmcdboBYBz1el2BQKBvTTqdVjqdnlJHAAAAAAAsr0KhoEKh0LemXq9PqZvjCMIw15rNpvb29vrWNBqNKXUDAAAAAMByazQaA5/TnUQQhrnmdrvl9/v71ng8nil1AwAAAADAcvN4PFpdXe1bU6/X1Ww2p9RRL4IwzDW/38+pkQAAAAAAzAgr2xO1T410ApvlAwAAAAAAYCkwIwwAAAAAADjG7ZK+uza4BrADQRgAAAAAAHCMyyWdIejClLA0EgAAAAAAAEuBIAwAAAAAAABLgSAMAAAAAAAAS4EgDAAAAAAAAEuBIAzAxL1/1+kOAAAAAAAgCAMwJish1ytlwjAAAAAAgPMIwgCM7P4D6bUPrdW++oHUeDDRdgAAAAAA6IsgDMDI3qtKX31rrfbLb6Sb1cn2AwAAAABAPwRhAEb20efD1X88ZD0AAAAAAHYiCAMwsoOvJ1sPAAAAAICdCMIAjMz36GTrAQAAAACwE0EYgJE989Rw9U8PWQ8AAAAAgJ0IwgCM7KWw9P3vWat97BHp5fBk+wEAAAAAoJ+zTjcAjKNerysQCPStSafTSqfTU+pouZw/J73zrPRKeXDt9eckz7mJtwQAAAAAcFChUFChUOhbU6/Xp9TNcQRhmGvNZlN7e3t9axqNxpS6WU4vXhgchN2MH9YBAAAAABZbo9EY+JzuJIIwzDW32y2/39+3xuPxTKkbnOYFQjAAAAAAWAoej0erq6t9a+r1uprN5pQ66uVqtVotR64MjCEQCGhvb0+rq6va3d11up2l9rApnX2zf81316Qz7EgIAAAAAJCzz/Q8mgIAAAAAAGApEIQBAAAAAABgKbBHGAAAAAAAwBxotaTmgA2u3C7J5ZpOP/OIIAwAAAAAACyERQ+Kmi2LezTP6f1NA0EYAAAAAABYCARFGIQ9wgAAAAAAALAUCMIAAAAAAACwFAjCAAAAAAAAsBQIwgAAAAAAALAU2CwfmKBFP7EEAAAAAIB5QhAGTBAnlgAAAAAAMDtYGgkAAAAAAIClQBAGAAAAAACApUAQBgAAAAAAgKVAEAYAAADg/9/e/fs4ktV7H/+6d0GDLjLVvRJSqzuhnHBDyrPJTbucgSCweyQQELWN0I06sO+IeDWyA4cI10bPIoJZOwBBcPW45i+Y7iJFeuQi6ZalK227sECsYNf1BEP5+rfLdv10vV+Spf5xfOpb7uNu98fnnAIAIBPYLB+pNhwO5fLycmOb29tbub29jagiAAAAAACyq91uS7vd3thmOBxGVM0ygjCk2mQykcfHx41txuNxRNUAAAAAAJBt4/F46//pcSIIQ6qdnJzI+fn5xjb5fD6iagAAAAAAyLZ8Pi8XFxcb2wyHQ5lMJhFVNI8gDKl2fn4uDw8PcZeRaSc5kS8+2t4GAAAAAHD8/GxPdHl5GdusMYIwAAfJ5UTeI+gCAAAAAKQAV40EAAAAAABAJhCEAQAAAAAAIBMIwgAAAAAAQGb85o9xV4A4EYQBAAAAAICj4Cfk+mmPMCzLCMIAAAAAAEDq/eVzkZ//zl/bn/1WZPx5qOUgoQjCAAAAAABA6v3aEvnbP/21/es/RD6xwq0HyUQQBgAAAAAAUu/3f9qt/R92bI/jQBAGAAAAAABSb/T3cNvjOBCEAQAAAACA1Dv9WrjtcRwIwgAAAAAAQOp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|
|
"text/plain": [
|
|
"<Figure size 1200x900 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"bins = np.linspace(-0.25, 0.25, 50)\n",
|
|
"sns.regplot(\n",
|
|
" x=ak.to_numpy(sel_array[\"ideal_state_770_ty\"]),\n",
|
|
" y=ak.to_numpy(sel_array[\"z_mag_xEndT\"]),\n",
|
|
" x_bins=bins,\n",
|
|
" fit_reg=None,\n",
|
|
" x_estimator=np.mean,\n",
|
|
")\n",
|
|
"# plt.ylim(4500, 5700)\n",
|
|
"\n",
|
|
"plt.xlabel(\"dy/dz(VELO)\")\n",
|
|
"plt.ylabel(\"$z_{Mag}$ [mm]\")\n",
|
|
"mplhep.lhcb.text(\"Simulation\")\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 67,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 1200x900 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"bins = np.linspace(-0.25, 0.25, 50)\n",
|
|
"sns.regplot(\n",
|
|
" x=ak.to_numpy(sel_array[\"ideal_state_9410_ty\"]),\n",
|
|
" y=ak.to_numpy(sel_array[\"z_mag_xEndT\"]),\n",
|
|
" x_bins=bins,\n",
|
|
" fit_reg=None,\n",
|
|
" x_estimator=np.mean,\n",
|
|
")\n",
|
|
"# plt.ylim(4500, 5700)\n",
|
|
"\n",
|
|
"plt.xlabel(\"dy/dz(T)\")\n",
|
|
"plt.ylabel(\"$z_{Mag}$ [mm]\")\n",
|
|
"mplhep.lhcb.text(\"Simulation\")\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 68,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 1200x900 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"bins = np.linspace(-300, 300, 50)\n",
|
|
"sns.regplot(\n",
|
|
" x=ak.to_numpy(sel_array[\"ideal_state_770_x\"]),\n",
|
|
" y=ak.to_numpy(sel_array[\"z_mag_xEndT\"]),\n",
|
|
" x_bins=bins,\n",
|
|
" fit_reg=None,\n",
|
|
" x_estimator=np.mean,\n",
|
|
")\n",
|
|
"plt.xlabel(\"x (VELO)\")\n",
|
|
"plt.ylabel(\"$z_{Mag}$ [mm]\")\n",
|
|
"mplhep.lhcb.text(\"Simulation\")\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 69,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 1200x900 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"bins = np.linspace(-300, 300, 50)\n",
|
|
"sns.regplot(\n",
|
|
" x=ak.to_numpy(sel_array[\"x_EndT_abs\"]),\n",
|
|
" y=ak.to_numpy(sel_array[\"z_mag_xEndT\"]),\n",
|
|
" x_bins=bins,\n",
|
|
" fit_reg=None,\n",
|
|
" x_estimator=np.mean,\n",
|
|
")\n",
|
|
"plt.xlabel(\"x (T)\")\n",
|
|
"plt.ylabel(\"$z_{Mag}$ [mm]\")\n",
|
|
"mplhep.lhcb.text(\"Simulation\")\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 70,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 1200x900 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"bins = np.linspace(-1.0, 1.0, 50)\n",
|
|
"sns.regplot(\n",
|
|
" x=ak.to_numpy(sel_array[\"dSlope_xEndT\"]),\n",
|
|
" y=ak.to_numpy(sel_array[\"z_mag_xEndT\"]),\n",
|
|
" x_bins=bins,\n",
|
|
" fit_reg=None,\n",
|
|
" x_estimator=np.mean,\n",
|
|
")\n",
|
|
"plt.xlabel(\"$\\Delta t_x$\")\n",
|
|
"plt.ylabel(\"$z_{Mag}$ [mm]\")\n",
|
|
"mplhep.lhcb.text(\"Simulation\")\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 71,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 1200x900 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"bins = np.linspace(-0.5, 0.5, 100)\n",
|
|
"sns.regplot(\n",
|
|
" x=ak.to_numpy(sel_array[\"dSlope_yEndT\"]),\n",
|
|
" y=ak.to_numpy(sel_array[\"z_mag_xEndT\"]),\n",
|
|
" x_bins=bins,\n",
|
|
" fit_reg=None,\n",
|
|
" x_estimator=np.mean,\n",
|
|
")\n",
|
|
"plt.xlabel(\"$\\Delta t_y$\")\n",
|
|
"plt.ylabel(\"$z_{Mag}$ [mm]\")\n",
|
|
"mplhep.lhcb.text(\"Simulation\")\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 79,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"intercept= 5303.132333467949\n",
|
|
"coef= {'ideal_state_770_tx': -13.441950438394027, 'dSlope_xEndT': -4.369407701653064, 'dSlope_xEndT_abs': 230.37763264120008, 'x_EndT_abs': 0.026704166547390083, 'ideal_state_770_ty': -14.30702118941663, 'ideal_state_770_tx^2': 77928.66766333766, 'ideal_state_770_tx dSlope_xEndT': 69687.8060631645, 'ideal_state_770_tx dSlope_xEndT_abs': -86.35194840522867, 'ideal_state_770_tx x_EndT_abs': 0.00970580581706756, 'ideal_state_770_tx ideal_state_770_ty': -180.61816411073835, 'dSlope_xEndT^2': 7579.721527263535, 'dSlope_xEndT dSlope_xEndT_abs': -49.35311026671389, 'dSlope_xEndT x_EndT_abs': 0.015857700483615466, 'dSlope_xEndT ideal_state_770_ty': -35.74149120660231, 'dSlope_xEndT_abs^2': 7579.723402132595, 'dSlope_xEndT_abs x_EndT_abs': -0.22195273681292957, 'dSlope_xEndT_abs ideal_state_770_ty': 1.9491174288661794, 'x_EndT_abs^2': -0.0009034030507007965, 'x_EndT_abs ideal_state_770_ty': 0.0034286491846703187, 'ideal_state_770_ty^2': -2489.6827607187365, 'ideal_state_770_tx^3': 2357.797471515544, 'ideal_state_770_tx^2 dSlope_xEndT': 1960.401925113787, 'ideal_state_770_tx^2 dSlope_xEndT_abs': -20252.830218161023, 'ideal_state_770_tx^2 x_EndT_abs': -13.500325039413802, 'ideal_state_770_tx^2 ideal_state_770_ty': -766.130872351457, 'ideal_state_770_tx dSlope_xEndT dSlope_xEndT_abs': -19474.231043469852, 'ideal_state_770_tx dSlope_xEndT x_EndT_abs': -11.598943144027315, 'ideal_state_770_tx dSlope_xEndT ideal_state_770_ty': -626.8199943500564, 'ideal_state_770_tx dSlope_xEndT_abs^2': 573.5326109010182, 'ideal_state_770_tx dSlope_xEndT_abs x_EndT_abs': 0.001095488438740151, 'ideal_state_770_tx dSlope_xEndT_abs ideal_state_770_ty': 330.5306955155975, 'ideal_state_770_tx x_EndT_abs^2': -3.111920124211576e-05, 'ideal_state_770_tx x_EndT_abs ideal_state_770_ty': 0.06268520395759442, 'ideal_state_770_tx ideal_state_770_ty^2': 95.20495106050294, 'dSlope_xEndT^3': 42.93032905404232, 'dSlope_xEndT^2 dSlope_xEndT_abs': -4365.747480960424, 'dSlope_xEndT^2 x_EndT_abs': -1.2192562284269424, 'dSlope_xEndT^2 ideal_state_770_ty': -134.19763413582538, 'dSlope_xEndT dSlope_xEndT_abs^2': 42.930335617557944, 'dSlope_xEndT dSlope_xEndT_abs x_EndT_abs': -0.023890507178523725, 'dSlope_xEndT dSlope_xEndT_abs ideal_state_770_ty': 106.84806568209468, 'dSlope_xEndT x_EndT_abs ideal_state_770_ty': -0.009451904933143932, 'dSlope_xEndT ideal_state_770_ty^2': -8.505381537855747, 'dSlope_xEndT_abs^2 x_EndT_abs': -1.2193799254865163, 'dSlope_xEndT_abs x_EndT_abs^2': 0.0002552425918335738, 'dSlope_xEndT_abs x_EndT_abs ideal_state_770_ty': 0.01563137413267504, 'dSlope_xEndT_abs ideal_state_770_ty^2': 2033.0314554223403, 'x_EndT_abs^3': 1.5428826370868625e-07, 'x_EndT_abs^2 ideal_state_770_ty': 6.223748596200707e-06, 'x_EndT_abs ideal_state_770_ty^2': 0.5895518247828866}\n",
|
|
"r2 score= 0.8237497474212265\n",
|
|
"RMSE = 34.7702514276615\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"from sklearn.preprocessing import PolynomialFeatures\n",
|
|
"from sklearn.linear_model import LinearRegression, Lasso, Ridge, ElasticNet, LassoCV\n",
|
|
"from sklearn.model_selection import train_test_split\n",
|
|
"from sklearn.pipeline import Pipeline\n",
|
|
"from sklearn.metrics import mean_squared_error\n",
|
|
"import numpy as np\n",
|
|
"\n",
|
|
"features = [\n",
|
|
" \"ideal_state_770_tx\",\n",
|
|
" \"dSlope_xEndT\",\n",
|
|
" \"dSlope_xEndT_abs\",\n",
|
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" \"x_EndT_abs\",\n",
|
|
" # \"dSlope_yEndT\",\n",
|
|
" # \"dSlope_yEndT_abs\",\n",
|
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" \"ideal_state_770_ty\",\n",
|
|
" # \"ideal_state_9410_ty\",\n",
|
|
" # \"ideal_state_770_x\",\n",
|
|
" # \"x_EndVelo_abs\",\n",
|
|
"]\n",
|
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"\n",
|
|
"target_feat = \"z_mag_xEndT\"\n",
|
|
"order = 3\n",
|
|
"\n",
|
|
"data = np.column_stack([ak.to_numpy(sel_array[feat]) for feat in features])\n",
|
|
"target = ak.to_numpy(sel_array[target_feat])\n",
|
|
"X_train, X_test, y_train, y_test = train_test_split(data,\n",
|
|
" target,\n",
|
|
" test_size=0.2,\n",
|
|
" random_state=42)\n",
|
|
"\n",
|
|
"poly = PolynomialFeatures(degree=order, include_bias=False)\n",
|
|
"X_train_model = poly.fit_transform(X_train)\n",
|
|
"X_test_model = poly.fit_transform(X_test)\n",
|
|
"\n",
|
|
"poly_features = poly.get_feature_names_out(input_features=features)\n",
|
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"\n",
|
|
"keep = [\n",
|
|
" \"ideal_state_770_tx\",\n",
|
|
" \"dSlope_xEndT\",\n",
|
|
" \"dSlope_xEndT_abs\", # keep\n",
|
|
" \"x_EndT_abs\", # keep\n",
|
|
" \"ideal_state_770_ty\",\n",
|
|
" \"ideal_state_770_tx^2\",\n",
|
|
" \"ideal_state_770_tx dSlope_xEndT\",\n",
|
|
" \"ideal_state_770_tx dSlope_xEndT_abs\",\n",
|
|
" \"ideal_state_770_tx x_EndT_abs\",\n",
|
|
" \"ideal_state_770_tx ideal_state_770_ty\",\n",
|
|
" \"dSlope_xEndT^2\", # keep\n",
|
|
" \"dSlope_xEndT dSlope_xEndT_abs\",\n",
|
|
" \"dSlope_xEndT x_EndT_abs\",\n",
|
|
" \"dSlope_xEndT ideal_state_770_ty\",\n",
|
|
" \"dSlope_xEndT_abs^2\",\n",
|
|
" \"dSlope_xEndT_abs x_EndT_abs\",\n",
|
|
" \"dSlope_xEndT_abs ideal_state_770_ty\",\n",
|
|
" \"x_EndT_abs^2\",\n",
|
|
" \"x_EndT_abs ideal_state_770_ty\",\n",
|
|
" \"ideal_state_770_ty^2\", # keep\n",
|
|
" \"ideal_state_770_tx^3\",\n",
|
|
" \"ideal_state_770_tx^2 dSlope_xEndT\",\n",
|
|
" \"ideal_state_770_tx^2 dSlope_xEndT_abs\",\n",
|
|
" \"ideal_state_770_tx^2 x_EndT_abs\",\n",
|
|
" \"ideal_state_770_tx^2 ideal_state_770_ty\",\n",
|
|
" \"ideal_state_770_tx dSlope_xEndT dSlope_xEndT_abs\",\n",
|
|
" \"ideal_state_770_tx dSlope_xEndT x_EndT_abs\",\n",
|
|
" \"ideal_state_770_tx dSlope_xEndT ideal_state_770_ty\",\n",
|
|
" \"ideal_state_770_tx dSlope_xEndT_abs^2\",\n",
|
|
" \"ideal_state_770_tx dSlope_xEndT_abs x_EndT_abs\",\n",
|
|
" \"ideal_state_770_tx dSlope_xEndT_abs ideal_state_770_ty\",\n",
|
|
" \"ideal_state_770_tx x_EndT_abs^2\",\n",
|
|
" \"ideal_state_770_tx x_EndT_abs ideal_state_770_ty\",\n",
|
|
" \"ideal_state_770_tx ideal_state_770_ty^2\",\n",
|
|
" \"dSlope_xEndT^3\",\n",
|
|
" \"dSlope_xEndT^2 dSlope_xEndT_abs\",\n",
|
|
" \"dSlope_xEndT^2 x_EndT_abs\",\n",
|
|
" \"dSlope_xEndT^2 ideal_state_770_ty\",\n",
|
|
" \"dSlope_xEndT dSlope_xEndT_abs^2\",\n",
|
|
" \"dSlope_xEndT dSlope_xEndT_abs x_EndT_abs\",\n",
|
|
" \"dSlope_xEndT dSlope_xEndT_abs ideal_state_770_ty\",\n",
|
|
" \"dSlope_xEndT x_EndT_abs ideal_state_770_ty\",\n",
|
|
" \"dSlope_xEndT ideal_state_770_ty^2\",\n",
|
|
" \"dSlope_xEndT_abs^2 x_EndT_abs\",\n",
|
|
" \"dSlope_xEndT_abs x_EndT_abs^2\",\n",
|
|
" \"dSlope_xEndT_abs x_EndT_abs ideal_state_770_ty\",\n",
|
|
" \"dSlope_xEndT_abs ideal_state_770_ty^2\",\n",
|
|
" \"x_EndT_abs^3\",\n",
|
|
" \"x_EndT_abs^2 ideal_state_770_ty\",\n",
|
|
" \"x_EndT_abs ideal_state_770_ty^2\",\n",
|
|
"]\n",
|
|
"\n",
|
|
"# keep = [\n",
|
|
"# \"ideal_state_770_tx^2\",\n",
|
|
"# \"dSlope_xEndT^2\",\n",
|
|
"# \"dSlope_xEndT_abs\",\n",
|
|
"# \"x_EndT_abs\",\n",
|
|
"# ]\n",
|
|
"remove = [i for i, f in enumerate(poly_features) if f not in keep]\n",
|
|
"\n",
|
|
"X_train_model = np.delete(X_train_model, remove, axis=1)\n",
|
|
"X_test_model = np.delete(X_test_model, remove, axis=1)\n",
|
|
"poly_features = np.delete(poly_features, remove)\n",
|
|
"# print(poly_features)\n",
|
|
"\n",
|
|
"lin_reg = LinearRegression()\n",
|
|
"# lin_reg = Lasso(alpha=0.1)\n",
|
|
"# lin_reg = LassoCV(max_iter=2000)\n",
|
|
"# lin_reg = ElasticNet(alpha=0.1)\n",
|
|
"# lin_reg = Ridge(alpha=0)\n",
|
|
"lin_reg.fit(X_train_model, y_train)\n",
|
|
"y_pred_test = lin_reg.predict(X_test_model)\n",
|
|
"print(\"intercept=\", lin_reg.intercept_)\n",
|
|
"print(\"coef=\", dict(zip(poly_features, lin_reg.coef_)))\n",
|
|
"print(\"r2 score=\", lin_reg.score(X_test_model, y_test))\n",
|
|
"print(\"RMSE =\", mean_squared_error(y_test, y_pred_test, squared=False))"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 77,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"['ideal_state_770_tx x_EndT_abs^2',\n",
|
|
" 'dSlope_xEndT x_EndT_abs^2',\n",
|
|
" 'x_EndT_abs^3',\n",
|
|
" 'x_EndT_abs^2 ideal_state_770_ty']"
|
|
]
|
|
},
|
|
"execution_count": 77,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"koeffs = dict(zip(poly_features, lin_reg.coef_))\n",
|
|
"\n",
|
|
"remove = []\n",
|
|
"for itr in koeffs.items():\n",
|
|
" if abs(itr[1]) < 1e-4:\n",
|
|
" remove.append(itr[0])\n",
|
|
"remove"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"ls_koeffs = []\n",
|
|
"for itr in koeffs.items():\n",
|
|
" ls_koeffs.append(itr[0])\n",
|
|
"ls_koeffs"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 60,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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|
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"text/plain": [
|
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"<Figure size 1200x900 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"bins = np.linspace(5150, 5700, 50)\n",
|
|
"ax = sns.regplot(\n",
|
|
" x=y_test,\n",
|
|
" y=abs(y_test - y_pred_test),\n",
|
|
" x_bins=bins,\n",
|
|
" fit_reg=None,\n",
|
|
" x_estimator=np.mean,\n",
|
|
" label=\"bla\",\n",
|
|
")\n",
|
|
"ax2 = ax.twinx()\n",
|
|
"ax2.hist(y_test, bins=50, range=[5150, 5700], color=\"#2A9D8F\", alpha=0.8, align=\"left\")\n",
|
|
"ax.set_xlabel(r\"z$_{Mag}$ [mm]\")\n",
|
|
"ax.set_ylabel(\"Mean Deviation [mm]\")\n",
|
|
"ax2.set_ylabel(\"Number of Tracks\")\n",
|
|
"mplhep.lhcb.text(\"Simulation\", loc=0)\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"fig = plt.figure()\n",
|
|
"plt.hist(\n",
|
|
" sel_array[\"z_mag_corr\"],\n",
|
|
" bins=100,\n",
|
|
" # range=[5100, 5700],\n",
|
|
" color=\"#2A9D8F\",\n",
|
|
" density=True,\n",
|
|
")\n",
|
|
"plt.xlabel(r\"z$_{Mag}$ correction [mm]\")\n",
|
|
"plt.ylabel(\"Number of Tracks (normalised)\")\n",
|
|
"mplhep.lhcb.text(\"Simulation\")\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"bins = np.linspace(-0.4, 0.4, 50)\n",
|
|
"sns.regplot(\n",
|
|
" x=ak.to_numpy(sel_array[\"ideal_state_770_tx\"]),\n",
|
|
" y=ak.to_numpy(sel_array[\"z_mag_corr\"]),\n",
|
|
" x_bins=bins,\n",
|
|
" fit_reg=None,\n",
|
|
" x_estimator=np.mean,\n",
|
|
")\n",
|
|
"# plt.ylim(5100, 5700)\n",
|
|
"plt.xlabel(\"dx/dz(VELO)\")\n",
|
|
"plt.ylabel(\"$z_{Mag}$ correction [mm]\")\n",
|
|
"mplhep.lhcb.text(\"Simulation\")\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"bins = np.linspace(-0.25, 0.25, 50)\n",
|
|
"sns.regplot(\n",
|
|
" x=ak.to_numpy(sel_array[\"ideal_state_770_ty\"]),\n",
|
|
" y=ak.to_numpy(sel_array[\"z_mag_corr\"]),\n",
|
|
" x_bins=bins,\n",
|
|
" fit_reg=None,\n",
|
|
" x_estimator=np.mean,\n",
|
|
")\n",
|
|
"# plt.ylim(4500, 5700)\n",
|
|
"\n",
|
|
"plt.xlabel(\"dy/dz(VELO)\")\n",
|
|
"plt.ylabel(\"$z_{Mag}$ correction [mm]\")\n",
|
|
"mplhep.lhcb.text(\"Simulation\")\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"bins = np.linspace(-0.25, 0.25, 50)\n",
|
|
"sns.regplot(\n",
|
|
" x=ak.to_numpy(sel_array[\"ideal_state_9410_ty\"]),\n",
|
|
" y=ak.to_numpy(sel_array[\"z_mag_corr\"]),\n",
|
|
" x_bins=bins,\n",
|
|
" fit_reg=None,\n",
|
|
" x_estimator=np.mean,\n",
|
|
")\n",
|
|
"# plt.ylim(4500, 5700)\n",
|
|
"\n",
|
|
"plt.xlabel(\"dy/dz(T)\")\n",
|
|
"plt.ylabel(\"$z_{Mag}$ correction [mm]\")\n",
|
|
"mplhep.lhcb.text(\"Simulation\")\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"bins = np.linspace(-300, 300, 50)\n",
|
|
"sns.regplot(\n",
|
|
" x=ak.to_numpy(sel_array[\"ideal_state_770_x\"]),\n",
|
|
" y=ak.to_numpy(sel_array[\"z_mag_corr\"]),\n",
|
|
" x_bins=bins,\n",
|
|
" fit_reg=None,\n",
|
|
" x_estimator=np.mean,\n",
|
|
")\n",
|
|
"plt.xlabel(\"x (VELO)\")\n",
|
|
"plt.ylabel(\"$z_{Mag}$ correction [mm]\")\n",
|
|
"mplhep.lhcb.text(\"Simulation\")\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"bins = np.linspace(0, 500, 50)\n",
|
|
"sns.regplot(\n",
|
|
" # x=ak.to_numpy(sel_array[\"ideal_state_770_y\"]),\n",
|
|
" x=ak.to_numpy(sel_array[\"x_EndT_abs\"]),\n",
|
|
" y=ak.to_numpy(sel_array[\"z_mag_corr\"]),\n",
|
|
" x_bins=bins,\n",
|
|
" fit_reg=None,\n",
|
|
" x_estimator=np.mean,\n",
|
|
")\n",
|
|
"plt.xlabel(\"x (T)\")\n",
|
|
"plt.ylabel(\"$z_{Mag}$ correction [mm]\")\n",
|
|
"mplhep.lhcb.text(\"Simulation\")\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"bins = np.linspace(0, 500, 50)\n",
|
|
"sns.regplot(\n",
|
|
" # x=ak.to_numpy(sel_array[\"ideal_state_770_y\"]),\n",
|
|
" x=ak.to_numpy(sel_array[\"y_EndVelo_abs\"]),\n",
|
|
" y=ak.to_numpy(sel_array[\"z_mag_corr\"]),\n",
|
|
" x_bins=bins,\n",
|
|
" fit_reg=None,\n",
|
|
" x_estimator=np.mean,\n",
|
|
")\n",
|
|
"plt.xlabel(\"y (VELO)\")\n",
|
|
"plt.ylabel(\"$z_{Mag}$ correction [mm]\")\n",
|
|
"mplhep.lhcb.text(\"Simulation\")\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"bins = np.linspace(0, 500, 50)\n",
|
|
"sns.regplot(\n",
|
|
" # x=ak.to_numpy(sel_array[\"ideal_state_770_y\"]),\n",
|
|
" x=ak.to_numpy(sel_array[\"y_EndT_abs\"]),\n",
|
|
" y=ak.to_numpy(sel_array[\"z_mag_corr\"]),\n",
|
|
" x_bins=bins,\n",
|
|
" fit_reg=None,\n",
|
|
" x_estimator=np.mean,\n",
|
|
")\n",
|
|
"plt.xlabel(\"y (T)\")\n",
|
|
"plt.ylabel(\"$z_{Mag}$ correction [mm]\")\n",
|
|
"mplhep.lhcb.text(\"Simulation\")\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"bins = np.linspace(-1.0, 1.0, 50)\n",
|
|
"sns.regplot(\n",
|
|
" x=ak.to_numpy(sel_array[\"dSlope_xEndT\"]),\n",
|
|
" y=ak.to_numpy(sel_array[\"z_mag_corr\"]),\n",
|
|
" x_bins=bins,\n",
|
|
" fit_reg=None,\n",
|
|
" x_estimator=np.mean,\n",
|
|
")\n",
|
|
"plt.xlabel(\"$\\Delta t_x$\")\n",
|
|
"plt.ylabel(\"$z_{Mag}$ correction [mm]\")\n",
|
|
"mplhep.lhcb.text(\"Simulation\")\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"bins = np.linspace(-1.0, 1.0, 50)\n",
|
|
"sns.regplot(\n",
|
|
" x=ak.to_numpy(sel_array[\"dSlope_yEndT_abs\"]),\n",
|
|
" y=ak.to_numpy(sel_array[\"z_mag_corr\"]),\n",
|
|
" x_bins=bins,\n",
|
|
" fit_reg=None,\n",
|
|
" x_estimator=np.mean,\n",
|
|
")\n",
|
|
"plt.xlabel(\"$\\Delta t_y$\")\n",
|
|
"plt.ylabel(\"$z_{Mag}$ correction [mm]\")\n",
|
|
"mplhep.lhcb.text(\"Simulation\")\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"features = [\n",
|
|
" # # \"ideal_state_770_tx\",\n",
|
|
" # \"ideal_state_770_ty\",\n",
|
|
" # \"ideal_state_9410_ty\",\n",
|
|
" # # \"dSlope_yEndT\",\n",
|
|
" # # \"dSlope_yEndT_abs\",\n",
|
|
" # # \"ideal_state_770_x\",\n",
|
|
" # # \"ideal_state_9410_x\",\n",
|
|
" # # \"x_EndVelo_abs\",\n",
|
|
" # \"y_EndVelo_abs\",\n",
|
|
" # # \"y_EndT_abs\",\n",
|
|
" # \"dSlope_xEndT\",\n",
|
|
" # \"dSlope_xEndT_abs\",\n",
|
|
" # \"x_EndT_abs\",\n",
|
|
" \"ideal_state_770_tx\",\n",
|
|
" \"ideal_state_770_ty\",\n",
|
|
" \"ideal_state_9410_ty\",\n",
|
|
" \"ideal_state_9410_tx\",\n",
|
|
" \"dSlope_xEndT\",\n",
|
|
" \"dSlope_xEndT_abs\",\n",
|
|
" \"x_EndT_abs\",\n",
|
|
" \"ideal_state_770_x\",\n",
|
|
" \"x_EndVelo_abs\",\n",
|
|
"]\n",
|
|
"\n",
|
|
"target_feat = \"z_mag_corr\"\n",
|
|
"order = 4\n",
|
|
"\n",
|
|
"data = np.column_stack([ak.to_numpy(sel_array[feat]) for feat in features])\n",
|
|
"target = ak.to_numpy(sel_array[target_feat])\n",
|
|
"X_train, X_test, y_train, y_test = train_test_split(data,\n",
|
|
" target,\n",
|
|
" test_size=0.1,\n",
|
|
" random_state=42)\n",
|
|
"\n",
|
|
"poly = PolynomialFeatures(degree=order, include_bias=True)\n",
|
|
"X_train_model = poly.fit_transform(X_train)\n",
|
|
"X_test_model = poly.fit_transform(X_test)\n",
|
|
"\n",
|
|
"poly_features = poly.get_feature_names_out(input_features=features)\n",
|
|
"\n",
|
|
"# keep = [\n",
|
|
"# \"ideal_state_770_tx^2\",\n",
|
|
"# \"ideal_state_770_x\",\n",
|
|
"# # \"x_EndVelo_abs\",\n",
|
|
"# \"dSlope_xEndT^2\",\n",
|
|
"# \"dSlope_xEndT_abs\",\n",
|
|
"# \"x_EndT_abs\",\n",
|
|
"# ]\n",
|
|
"# remove = [i for i, f in enumerate(poly_features) if f not in keep]\n",
|
|
"# remove_term = [\n",
|
|
"# \"ideal_state_770_x^2 ideal_state_9410_x\",\n",
|
|
"# ]\n",
|
|
"# remove = [i for i, f in enumerate(poly_features) if f in remove_term]\n",
|
|
"\n",
|
|
"# X_train_model = np.delete(X_train_model, remove, axis=1)\n",
|
|
"# X_test_model = np.delete(X_test_model, remove, axis=1)\n",
|
|
"# poly_features = np.delete(poly_features, remove)\n",
|
|
"# print(poly_features)\n",
|
|
"\n",
|
|
"# lin_reg = LinearRegression()\n",
|
|
"lin_reg = Lasso(alpha=0.1, max_iter=2000)\n",
|
|
"# lin_reg = LassoCV()\n",
|
|
"# lin_reg = ElasticNet(alpha=1)\n",
|
|
"# lin_reg = Ridge(alpha=1)\n",
|
|
"lin_reg.fit(X_train_model, y_train)\n",
|
|
"y_pred_test = lin_reg.predict(X_test_model)\n",
|
|
"print(\"intercept=\", lin_reg.intercept_)\n",
|
|
"print(\"coef=\", dict(zip(poly_features, lin_reg.coef_)))\n",
|
|
"print(\"r2 score=\", lin_reg.score(X_test_model, y_test))\n",
|
|
"print(\"RMSE =\", mean_squared_error(y_test, y_pred_test, squared=False))"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"bins = np.linspace(-200, 200, 50)\n",
|
|
"ax = sns.regplot(\n",
|
|
" x=y_test,\n",
|
|
" y=abs(y_test - y_pred_test),\n",
|
|
" x_bins=bins,\n",
|
|
" fit_reg=None,\n",
|
|
" x_estimator=np.mean,\n",
|
|
" label=\"bla\",\n",
|
|
")\n",
|
|
"ax2 = ax.twinx()\n",
|
|
"ax2.hist(y_test,\n",
|
|
" bins=30,\n",
|
|
" range=[-200, 200],\n",
|
|
" color=\"#2A9D8F\",\n",
|
|
" alpha=0.8,\n",
|
|
" align=\"left\")\n",
|
|
"ax.set_xlabel(r\"z$_{Mag}$ correction [mm]\")\n",
|
|
"ax.set_ylabel(\"Mean Deviation [mm]\")\n",
|
|
"ax2.set_ylabel(\"Number of Tracks\")\n",
|
|
"mplhep.lhcb.text(\"Simulation\", loc=0)\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
}
|
|
],
|
|
"metadata": {
|
|
"kernelspec": {
|
|
"display_name": "Python 3.10.6",
|
|
"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": "3.10.12"
|
|
},
|
|
"orig_nbformat": 4,
|
|
"vscode": {
|
|
"interpreter": {
|
|
"hash": "a2eff8b4da8b8eebf5ee2e5f811f31a557e0a202b4d2f04f849b065340a6eda6"
|
|
}
|
|
}
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 2
|
|
}
|