tracking-parametrisation-tuner/parameterisations/notebooks/magnet_kink_position.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import uproot\n",
    "import awkward as ak\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "import numpy as np\n",
    "import mplhep\n",
    "\n",
    "mplhep.style.use([\"LHCbTex2\"])\n",
    "input_tree = uproot.open({\n",
    "    \"/work/cetin/LHCb/reco_tuner/data/tracking_losses_ntuple_B_BJpsi_def_selected.root\":\n",
    "    \"Selected\"\n",
    "})\n",
    "array = input_tree.arrays()\n",
    "\n",
    "array[\"dSlope_yEndT\"] = array[\"ideal_state_9410_ty\"] - array[\n",
    "    \"ideal_state_770_ty\"]\n",
    "array[\"dSlope_yEndT_abs\"] = abs(array[\"dSlope_yEndT\"])\n",
    "\n",
    "array[\"dSlope_xEndT\"] = array[\"ideal_state_9410_tx\"] - array[\n",
    "    \"ideal_state_770_tx\"]\n",
    "array[\"dSlope_xEndT_abs\"] = abs(array[\"dSlope_xEndT\"])\n",
    "array[\"x_EndT_abs\"] = abs(array[\"ideal_state_9410_x\"])\n",
    "array[\"x_EndVelo_abs\"] = abs(array[\"ideal_state_770_x\"])\n",
    "\n",
    "array[\"y_EndT_abs\"] = abs(array[\"ideal_state_9410_y\"])\n",
    "array[\"y_EndVelo_abs\"] = abs(array[\"ideal_state_770_y\"])\n",
    "\n",
    "array[\"z_mag_xEndT\"] = (\n",
    "    array[\"ideal_state_770_x\"] - array[\"ideal_state_9410_x\"] -\n",
    "    array[\"ideal_state_770_tx\"] * array[\"ideal_state_770_z\"] +\n",
    "    array[\"ideal_state_9410_tx\"] *\n",
    "    array[\"ideal_state_9410_z\"]) / array[\"dSlope_xEndT\"]\n",
    "\n",
    "array[\"z_mag_corr\"] = array[\"z_mag_xEndT\"] - array[\"match_zmag\"]\n",
    "\n",
    "sel_array = array[(array[\"z_mag_xEndT\"] < 5800)\n",
    "                  & (array[\"z_mag_xEndT\"] > 5000)\n",
    "                  # & (array[\"match_chi2\"] < 5)\n",
    "                  ]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
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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()\n",
    "# plt.savefig(\n",
    "#     \"/work/cetin/LHCb/reco_tuner/parameterisations/plots/magnet_kink_dist.pdf\",\n",
    "#     format=\"PDF\",\n",
    "# )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "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(-0.35, 0.35, 35)\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(\"$t_x$\")\n",
    "plt.ylabel(r\"$z_{\\mathrm{Mag}}$ [mm]\")\n",
    "mplhep.lhcb.text(\"Simulation\")\n",
    "# plt.show()\n",
    "plt.savefig(\n",
    "    \"/work/cetin/LHCb/reco_tuner/parameterisations/plots/magnet_kink_tx_dist.pdf\",\n",
    "    format=\"PDF\",\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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v/rV08fFMywEAAAAAYCiCMAAT+yvH3+mTkvQv/y79wJltPQAAAAAADEOzfKy0ZrOp7e3toWP29/e1v78/p4rC5W9/Ot74v/up9Ce/O5taAAAAAACLd3h4qMPDw6Fjms3mnKq5iSAMK+3y8lKnp6dDx1xcXMypmvA5/7fZjgcAAACARViLXJ1YP2oMbrq4uBj5On2RCMKw0tbW1rS5uTl0zPr6+pyqCZ/or8x2PAAAAAAsQiQi3Qko6ApbqLa+vq6tra2hY5rNpi4vL+dUUS+CMKy0zc1NnZycLLqM0Hrjs9K7/+h//O99dna1AAAAAMAyCjJUWwV+2hNtb28vbNUYzfIBTOyLlvSpX/I39ld/WfqSNdt6AAAAAGCUH76/6AqwSKwIA0IoqKW5d1+V/vz3pS9XR4995w+k9Vd9lQcAAAAAE/ETcn25Kt1Zk75wf/b1YPmwIgwIoUjk6j/8wz4iPpfu+vmfxw9Swf1PhndvAAAAAPTz8mPpa3/jb+xX/1q6+Him5WBJEYQBmLk/9hmC+X33hjAMAAAAuD1aLemTy+Efrdboef7Kkf71P/xd81/+XfqBM13dWE1sjQSwFMZ99+aN32arJQAAAHAbXLakV/50+Jiff2t0w/m//el41/27n0p/8rvjPQarjxVhAJYC794AAAAAmMb5v812PG4HgjAAS2GSd28AAAAAoC36K7Mdj9uBIAzAUuDdGwAAAADTeOOz443/vTHH43YgCAOwFHj3BgAAAFgdQTW4D9IXLelTv+Rv7K/+svQla7b1YDnRLB/AUnjjs9K7/+h/PO/eAAAAAIsTVIP7IN19Vfrz3786aX6Ud/6Aw7fCihVhAJYC794AAAAAmNYX7o8e84OUv3G4nQjCACyF9rs3fvDuDQAAAIBJ/TEhWKixNRLAVNYiV0ueR43x4wv3Ry9j5t0bAAAAAMCkCMIATCUSme++fz/v3rRaVz0LhlmLXNUOAAAAAAgPgjAAt84yNu4EAAAAACwePcIAAAAAAMBS++H7i64AtwVBGAAAAAAAWBg/IdeXq4RhCAZBGAAAAAAAWIiXH0tf+xt/Y7/619LFxzMtByFAEAYAAAAAAALnZwXXXznSv/6Hv/n+5d+lHzjT1QQQhAEAAAAAgLEEtZ3xb3863nX/bszxwHWcGgkAAAAAAHwbdzvjG78trb/a//7zfxvv2qPGr0WuTogfNQbhRRAGYGnwPy0AAABg+U2ynfFPfrf//dFfGe/ao8ZHItIdXjNgCLZGAlgakYh0Z234R4T/qQEAAAALFeR2xjc+O95cvzfmeOA6gjAAAAAAAOBbkNsZv2hJn/olf/P86i9LX7LGuzZwHUEYAAAAAADwLcjtjHdflf789/3N884fDO41BvhFjzCstGazqe3t7aFj9vf3tb+/P6eKsCp++L70pfiiqwAAAABWzxufld79R//jR21n/ML9qxMmh/lB6moclt/h4aEODw+Hjmk2m3Oq5iaCMKy0y8tLnZ6eDh1zcXExp2qwLPwe5XxnbfT/TFst6bI1fMxahN5lAAAAWH5B/W37RUv6xk/8NcwPajvjHxOCrYyLi4uRr9MXiSAMK21tbU2bm5tDx6yvr8+pGiyDII9ylq7+UHjlT4fP8/NvcTINAAAAll9Qf9u2tzOOWsUlsZ0xjNbX17W1tTV0TLPZ1OXl5Zwq6kUQhpW2ubmpk5OTRZeBJRLkUc5BY3UZAAAAbgu2M2IQP+2Jtre3F7ZqjCAMwK0yyVHO8wrCWF0GAACAMGE7I5YRp0YCuFWCPMoZAAAAAHC7EIQBuFWCPMoZAAAAAHC7EIQBuFXeGHE083WjjnIGAAAAANweBGEAbpUvWtKnfsnf2KCOcl6EVkv65HL4R2tEY34AAAAACBua5QO4VcJylDON9wEAAABgfKwIA3Dr+DmimaOcAQAAsArYCQAEixVhAEKJo5wBAACwCsKwE2AtcvU9jBoDBIEVYQAwpR++v+gKAAAAgGAs4m/bSES6szb8I0IQhoCwIgwAhvDzh8CXq1f/cw5iq+UP35e+FJ9+HgAAAOC6IP+2ZRUXVhUrwgBggJcfS1/7G39jv/rX0sXHw8f4/cODFWYAAACrb9l6ewX9ty2ruLCqWBEGAAP8lSP963/4G/sv/y79wJH+5Hf73z/uHx5v/PbqnmgJAACA5evtFeTftsAqY0UYAAzwtz8db/zfDRk/yR8eAAAAQFCC/NsWWGUEYQAwwPm/BTeePzwAAACwSEH+bQusMoIwABgg+ivBjV/EHx70GgMAAEBbkH/bAquMIAwABnjjs+ON/70h44P+w4PG+wAAABhHkH/bAquMZvkAbp2gjnL+oiV94yf+env96i9LX7IG3//GZ6V3/3H0PG3D/vCg8T4AAADGFeTftsAqY0UYgFsnqKOc774q/fnv+7vmO38wPGz6oiV96pf8zTXqD4+gG+8v29HeAAAAGI+fXQBB/m0LrDJWhAHAEF+4f7XFcJgfpK7GDdP+w2PUXNLoPzwmabw/7OjrZTvaGwAAAL/gtyXGnbXRf5MG9bctsMpYEQYAU/pjn38o+PmDws8fHpz4AwAAEA7jtsS4+Hj6a/r92xZYVQRhALBE/PzhwYk/AAAA4RB0SwwABGEAsHI48QcAACAcJmmJAWA4gjAAWDFBNt4HAADA4ozq/0VLDCB4BGEAsGI48QcAAOAXgjwBO8i5/Da5HzaOlhhA8Dg1EgBWECf+AAAAXAnyBOyg5hq3yf0bv93/zcs3Piu9+4/+5pFoiQH4wYowALil5n3iT5DvoAIAAKyyoJrc0xIDCB4rwrDSms2mtre3h47Z39/X/v7+nCoCwivId2Nbrav5hlmLSBEfcwEAAMzbJE3u/+R3b3693RJj1E4AiZYYWB6Hh4c6PDwcOqbZbM6pmpsIwrDSLi8vdXp6OnTMxcXFnKoBEJQgQzUAAIB5C7LJfZAtMdYiV39DjRoDTOPi4mLk6/RFIgjDSltbW9Pm5ubQMevr63OqBrcRfyxc+eH70pfii64CAABgNcy7yb3flhiRCG8kYvbW19e1tbU1dEyz2dTl5eWcKupFEIaVtrm5qZOTk0WXgVssyD8WljVU83ui0Z01mu8DAIBg3PY2CDS5R5j5aU+0vb29sFVjBGEAMCfL+A5cUCcaAQAAjOO2t0H4oiV94yf+GubT5B6YL06NBIAQC+pEIwAAAPxCu8m9HzS5B+aLIAwAQmySE40AAAAwmp+WEn6b3AMIDlsjASDEgjzRaFnd9h4kAABgdfltcg8gOARhALCCgmq8P+8TjRbhtvcgAQAAowV5AjanaQOrja2RALCCIpGrUxyHffhZ4fTGmCcUcaIRAABYNn5PwPYzLsi5ACwngjAACLEvWtKnfsnfWE40AgAAy2bcE7AvPp7PXACWF0EYAITYvE804t1TAABWW6slfXI5/KM1ojdnkII8AZvTtIFwoEcYAITcF+5fLfEfxs+JRn63EtxZC+Z0JPpzAAAwf8vWe3OSE7D/5HdnP1eQguoNC+AKK8IAACONOtEo6K0Ey9qfY9neBQcAIOyCPAF7WU/TDqo3LIArrAgDAExtkq0Eg95BHTdUe+O3p9+y6deyvQsOAMBt5mf1d5AnYIfhNG0ArAgDAARgkq0Eg9CfAwCA2y+o1d9BnoDNadpAOBCELYDrukomk77HZrNZxWIxRSIRRaNRxeNxZbNZua470fUdx+mZMxKJKBaLKZ/Py/O8ieaUpGKxqGQyqWg02pkznU7Ltu2J5wSwGoLcShBkqAYAAJZPkC0VgjwBO+jTtNu9vYZ90NsLmD+CsAB5ntcJloZ9xGIxmaY5cr5isahYLKZyudwJvTzPk+M4KpfLisViKhaLY9WXTqcVj8d75pSuArdisahoNKpyuTzW923btqLRqPL5vCSpUqmo0WioUCjIcRwlk0klk8mpQjYAyy3IrQTL2p8DAAAEI8jV30GegB30adr09gKWE0FYgMYJkNqh0SDJZFL5fF6GYSiVSimXyymVSt0I0PL5vKrVEce96SoEi8fjvsZms1lls9mR46SrEKwdcmUyGdVqNSUSCZmmqVQqpUajIcuyZNu24vE4YRhwSwW5lWAR/Tnm3XQfAIAwC3r1t5/TqP2cgB30XACWE0FYgA4ODnyNawdFg+Tzedm2rUKhoPPzc1UqFRUKhZ6VVt3S6fTIa6bTabmuK8uyOvM0Gg1VKhXlcrkb48vl8sjQrL3CTJJM01SpVOo7rlKpSLpadeanVgCrJ8itBEH351jWEygBAAirRaz+HnUC9qLmAjB/nBoZkHK5LM/zlMvlRvb/2tnZGXhfe4tie2VVP7lcTo1Go2cFmuM4sqz+ryzL5bJs21Yul7sRorVXbmWzWaXTaTnOL9Yd7+3tKZVKDaw1nU53VngNW+HWvka1WpVt2yqXy8pkMgPHA1g97a0EXx696HTkVoIvWtI3fuJvy8SoUG2ZT6AEACCsOJ0RwCKxIiwghUJBpmmqUCgokUgM/TAMY+A8+Xy+M8eo63Ub1pC+Pd/1x3QzTbOzcqvN87yB87qu23Pfw4cPh9b76NGjzuejtoUCWE1BbSUIsj8HJ1ACALB8OJ0RwCIRhAWgWq3Kdd1AAp72qrJRDMPo2V45KFxzHEeu694IufppB3nXH99P97hR4Z6knpVlnuf56lUGYD7meaKR360EQYVqnEAJAMD8jWo3EPTpjAAwDoKwABwcHMgwjJGrovyo1Wq+x56dnXU+H7Td8smTJ8pkMiODqrbrK9E++uijvuO6t2UO2pJ5XXdw9+TJE1+PATB7q3qikZ9QjRMoAQAIVhC9N4M+nREAxkEQNiXHceQ4jjzPUzQaVSwWUzabnfmKJ8/zOv25EonEwDDq0aNHQ7dEXnd9nlgsdmPM9VViDx48GHtuVoQBmIcw9CBptaRPLod/tFqLrhIAcBuM23vz4uPB93M6I4BFIQib0vXtkK7rqlwuK51OKxKJ3GhAH5SnT59K6t/bq5tlWb5Xg0nqhGtt/U63vN43bNgJmMPGzeLnAgDdFtGDZN6nT162pFf+dPjHJUEYACAA8+69yemMAGaBIGwK1xvG91OtVhWPx5XNZgO7rud5ymazsixLtVptrKBrFNd1e273a9r//Pnzntt+r//aa6/13D4+Ph6vOAAYU9A9SILYDgIAwKqi9yaA24AgbAqmaapUKqlQKCiTyQxdGVUulxWPx6e+puu6isfjMgxDz549870ay6/ucCqTyQysodukK8IajcaY1QHAeILsQRLkdhC2MwIARlnG/1fQexPAbfDKogtYddfDIs/zVC6XdXBwcGOboeM4SiaTYzXE71atVpVOpzu3o9GoCoWCr1Mm/SqVSp3PB52CeT0Im9T1nw8AzMIX7l+t0hrGTw+SSbaD/Mnv9r+/vZ1xmJ9/S7qzhIcUAADmI8j/V7Rao7fJr0VGH44Tht6b7dO0R40BsLoIwgJmGIZyuZxyuZyq1ar29vZ6Ah/btlUsFn2HV+1grVQq9Q2g8vm8nj9/PrRPmF+u63b6dhUKhYErvSYNsK5voew+9RIAFslPD5JJtoMMCsIAAJinoEK1Nz4rvfuP/q8bRO9NP4IMryIR3ogCbjuCsBlKpVJKJBLa3d3taQx/cHDgOwizbVuNRkOJRGJgT7JqtTpWuDZI+3RJ0zQDXWU2SBArwprNpra3t6eeZ39/X/v7+1PPA+D2YjsIACDsvmhJ3/iJvxXSfnpvBoXwCpifw8NDHR4eTj1Ps9kMoJrJEITNmGEYqtfrisfjnTDM8zzZtt23Ef11qVRKqVSq52vlcln5fL4nSMrn88pkMhM3znccR+VyWYZhjNy6aRhGICFWEE3+Ly8vdXp6OvU8FxcXU88BhF2Q78Yu47aEMGwHAQBgmHbvzVEtB6TRvTcBrKaLi4tAXoMvEkHYnBwdHfU0y6/Var6CsH4ymYwSiYTi8XhPIFUulydeybW3tydJvhrwb2xsBBKEbWxsTD3H2tqaNjc3p55nfX196jmAsAvy3dhlfGd3WbeDAAAwT0H13gSwmtbX17W1tTX1PM1mU5eXlwFUND6CsDmxLEuJRKKztXHahvOmaerZs2c94drz588nmiubzcpxHFUqFVnW6PXLk67kuh6eBbEibHNzUycnJ1PPAwCjLOt2EAAAlo2f3psAVlNQbYW2t7cXtrKMIGyOkslk3x5fk7IsS6lUStXq1Vsyk4Rr5XK504z/+hbMQXZ2dnp6nnme5yvUut4cPxaLjVUrACwS20EAAKMEdTpjGCxjGwQA4UAQNkfdWw6D2BYoSY8ePeoEYeNuV7RtW9lsVqVSSZlMxvfjulehSVcBnJ+VZI1Go+f2pFtDAWBRbvt2EF7AAcB0gjqdMQyWsQ0CgHAgCJuj7iAsiG2BknoCqHHmdBxHyWRShUJhrBBMuloR1s1vENYd1BmGMbIXGQCsomXcDvLD96UvxUeP4wUcAAAAbru1RRcQJsfHx53Pk8lk4PNfD6gGcV1Xu7u7yuVyEzXXtyyrJ3Tz25us+/v3WysAYLgfvj96zJer/sYBAAAAtx1B2Bx1bw0Maltgd18wP+Ga67qKx+PKZDIqFAq+r1EsFnu+9vDhw87n3f3Chukel8/nfT0GADDYy4+lr/2Nv7Ff/Wvp4uOZlgMAAAAsPbZGzlG7l9ckq7AGaYdLhmGMbHbveZ6SyaQePnzoOwSTpHQ6raOjo56vZbNZlctlSfJ1AED3GNM06Q8GYG5WtRmvn+2Mf+X4O8VSkv7l36UfONKf/O70tQEAAACrihVhc1KtVuW6rgzD0OPHjwOb9+DgQJJuBFXXeZ6neDwu0zSVz+fluu7ID9u2O43xr/cAsyyrJ8xqh3yDVCqVzuesBgMwT5GIdGdt+Me8m78HtZ3xb3863nX/bszxAIDlFuS2d7bQAwgLgrAJ2bataDSqSCSiZDI5dHug67ra29uTJD179mxoU/tisah4PK58Pj/yFMj2mFwuN3I12O7ubifcisVivj7a31c2m+07Z6lU6nzeDuT68Tyvs3oskUiM3ZwfAG6TILcznv/beNcedzwAYHGC7AFJP0kA+AWCsAlVKpVOUNVeOdUvMGrft7GxoUajMfR0Rc/zlM/n5TiOisWiotHowNVT6XRaxWJRhUJh5DbHeDzuu49XP4OCK9M0Oyu92jX3s7u7K+lq+2b3yjAACKNJtjMOEv2V8a497vhptFrSJ5fDP1qt+dUDAKskyDdNgu4n2W45MOxjGVsOAEAbQdiE0un0ja+Vy2VFo1Gl02lls1nF43Elk0llMhnV63WZpjl0TsMwboxpB2LpdFr5fF7JZFLRaFTSVfP9Uf3G0un0TEKwtlQqpVqtJsMwlM/nO9fzPK8TAjqOI8uy9OLFi6Gr4QAgDILczvjGZ8eb6/fGHD+Ny5b0yp8O/7gkCAOAvoJ80yTIuaTlbDkAAOMgCJtQIpFQo9FQJpORaZo9AY/jODo7O9Pjx491fn6uQqHgOwCq1+vK5XKyLOvGnK7rKp1O68WLF6pUKiODNelq5Vqr1Zr4o3v747CfRfv7dF1Xu7u7nfBuY2NDlUpF9XqdEAwAFOx2xi9a0qd+yd88v/rL0pcGL0oGACyRIN80oZ8kAPTi1MgpmKbpKygah2EYY53ouExyuVygJ2ICwLIJ4gTKILcz3n1V+vPfv+rrMso7fyCtvzretZdFqzV69dhahBUIAG6PIN80oZ8kAPQiCAMAwKdIRLozZdjyxmeld//R//hR2xm/cH90EPaD1NW4VdXeZjnMz781/XMDAPPww/elL8WHjwnyTZNl7icJAIvA1kgAAOZoEdsZ//j/1979+7aVpXcDf+SZXUyQwKE8QADDbvaymZShPE1aU10GSSF6gASzW1kMglQupF2kDgZi4TIIOd0GW3jEIkFSLJb0X2CL2y6wEKcZQ0CAtRgjLzLYzYpv4Zd8Sf0gr6RL8pL8fAABonV07qF8KFJfPuecJQ7BgMVz+EV6WZ3OmOUekHneTxJgEQRhADBHg+WMaeRxOWOaP/KA1eLwi3SyPJ0xyzdN7CcJME4QBgBzlmaZ4iKWM2ZVyQCwjrI8nTHLN02W/Q0YgKwJwgAgh+a9nDHLSgaAdZT16YxZvmmS1zdgABZBEAYAZFrJALCOFnE6Y5ZvmthPElgXgjAAIPNKBoB143RGgOUgCAMAFlLJALBKnM4IsBwEYQCASgZg6fT7Eb8/m/zRn+Nplk5nBFgOHy56AADA4n32ScQvfp2+fRaVDD/7ZcQPt27fD7A8+v2Isynh1J2NiI2N6X2d9SM+/IfJbf73HyM+mNJXVmManM74o+bkdhFOZwRYJEEYABBflCJ+/PN0G+anqWT42S+n9/OjZsQHd+Z3SlmWf4ADN5NVeJWlLMf0N382PQhzOiPAYgnCAIBMKxn+67uIv/u3dNf923+N+OxP51MZkcc/wIH143RGgMUShAHAEruz8T68mdYmjawqGf6lk66yLCLiv38b8dNOxN//ebr2V7HMEgCANARhLLWTk5N4+PDhxDbPnj2LZ8+ezWlEAPO1sTHfCqY0lQz//qvr9fkfv5ochOVxmSUAAJd7/vx5PH/+fGKbk5OTOY3mIkEYS+3s7CzevHkzsc27d+/mNBqAdLKs4sqj0//Jrn1el1kCLJNVf94B8uXdu3dT/05fJEEYS+3OnTtx//79iW3u3r07p9EApDPvKq552/yD7NovYpklcH2WJ2cvy/Bq1Z93gHy5e/duPHjwYGKbk5OTODs7m9OIxgnCWGr379+Pb7/9dtHDAGDEZ59E/OLX6dv/xSdXfy3rZZawLrI8JdXy5MUQXgHLKs32RA8fPlxY1ZggDADI1BeliB//PF0l1x99P+KHpau/nuUyS1gnWZ2SankyAKvmzqIHAACslj/+KOKf/jJd23/+q8l/NGe5zBK4vpssTwaAPBOEAQCZS7M86qc709t9NmHZ5GUmLbPMUr8f8fuzyR/9KcvSYBncZHlynqRZ1gnAerE0EgBYiL9OEZZlucwyS1ktO4O8y/PyZHuXAXATgjAAILcGyyx/1Jzedtoyy3WQ5QbpEJHf5cnz3rss7amYWZ70CMBsCMIAgFz7mz+bHoSlWWa5DlSqkbUsT4FNK03odJO9y646UTbLyjInPQLknyAMAIiI5a5kSLPMEri+rJcnZxU63WTvssuCMKdiAqwfm+UDABHx/yoZ7kz+WPUldYvYWNvG++RZlqfAXjd0evfd1V/Pau8yp2ICrB8VYQDAWsjrxtqWM5J3WS1PznI5Y1Z7l2VVWQbA8lARBgCsvCwrUeA8VX3pliffJHS6ymfX3Ivsqr3L8nwqJgCzoSIMAFh5WVaiwHmq+tLJMnTKau+yvJ6KCcDsqAgDAFZelpUowM1kGTpltXdZVpVlACwPQRgAsPIsf4LFyzp0SrOX37S9y74oRfzh99KNJ82pmADknyAMAFh5lj/B4i0idJq2d1mWp2ICsBzsEQYAZO7Oxvs9kaa1mZfPPon4xa/Tt7f8iXXws19G/HBrftcbhE7TTqCMmG/olNWpmAAsBxVhAEDmNjYiPrgz+WNjjkGY5U+sm5/9cnqbHzXTtctSFssZFyHNqZgALAdBGACw8ix/Yp3813cRf/dv6dr+7b9GvPtupsO5NqETALMkCAMA1sK8K1HmXWkDA//Sifg/v0vX9r9/G/HTzmzHAwB5Yo8wACDX5rnfWNpKlLTLzj64k78lXqy+f//V9dr/x68i/v7PZzMWAMgbFWEAQK7lbb+xZV92plJt9Z3+z2zbA8AyE4QBAFxDnped5XWDdOZr8w9m2x4AlpmlkQAA15DXZWfXrVT77E8dCrCqPvsk4he/Tt/+Lz6Z/PV5Lk8GgFlTEQYAcA15XXaW50o15uuLUsQffi9d2z/6fsQPS5Pb5G15MgDchoowAIBrWMSys5/9MuKHW5Pb5LVSLUv9fsRZf3KbOxtCmT/+KOKf/vL9Mthp/vmvlrcyUKUaADchCAMAuIasl51ldQJlXivVsgyvzvoRH/7D5Db/+48RHyxp+JHlz+pv/mx6EPbTneU+1XRjY3n/rwFYHEEYAMA1fFGK+PHP0y1DnLbsLMt9vfK6Qfqqh1dZmvfP6q+XOATLksoygPUiCGOpnZycxMOHDye2efbsWTx79mxOIwJg1WW57Owm+3pdtZwx60o1spVmeSuLobIMIFvPnz+P58+fT2xzcnIyp9FcJAhjqZ2dncWbN28mtnn37t2cRgPAushq2VmW+3plWanG9WS1vHUdqL4CWH3v3r2b+nf6IgnCWGp37tyJ+/fvT2xz9+7dOY0GAP6/NMvOstzXa102SM+bLJe3rgPVVwCr7+7du/HgwYOJbU5OTuLs7GxOIxonCGOp3b9/P7799ttFDwMAbiTrfb3WYYP0vMlyeSsArII02xM9fPhwYVVjdxZyVQAA4rNr7tOVxb5eNkjP1k2WtwIAi6MiDABYC3ncmyjP+3r1++9PMZzkzsb7pW7rLMvlrQDA7AnCAIC1kMe9ifK8r9dZP+LDf5jc5n//MX8/07SyCvqyXt4KAMyWIAwAYIHs67UYWQV9n30S8Ytfp79uFstbAYCbs0cYAEDO2dcrv74oRfzh99K1nffyVgDgIkEYAADc0GB5axrzXt4KAFwkCAMAgFtIs2zV8lYAyAd7hAEAwIzNe3lrHk9JBYA8EIQBAMCKyeMpqQCQB5ZGAgDAkvjZLxc9AgBYbirCAACuybKzbP3slxE/3MpfX/OWJuT6UTPigzv2GwOAm1IRBgBwTRsb78OISR8bgrCISB/upGmXZV9581/fRfzdv6Vr+7f/GvHuu5kOBwBWloowAIAVkbdKteuGO5/9acTdj2bfVx79Syfi//wuXdv//m3ETzsRf//nsx0TAKwiFWEAACsib5VqNwl35tFXHv37r67X/j+u2R4AeE8QBgDATGQZ7qx6UHT6P7NtDwC8JwgDAOBGpu3FlWW4s+pB0eYfzLY9APCeIAwAgAuy2Jg+y3Bn1YOizz65Xvu/uGZ7AOA9m+UDACxQ3ja4j8huY/rPPon4xa/TX3dSuJNlX3n0RSnixz9Ptw/aH30/4oel2Y8JAFaRijAAgAXK2wb3EdltTP9FKeIPv5eun2nhTpZ95dEffxTxT3+Zru0//9VynYgJAHkiCAMAYExWG9NnGe6sQ1D0N382vc1Pd9K1AwAuJwgDAGBMlhvTZxnuzDsoSrNP2rz9tRAMAG5FEAYAwJh5b0yfZbiTtq8sDgMAAJaPzfIBABiz6hvTZ3UYwEAeDzwAAC6nIgwAgDGrvjF9VocBDOTxwAMA4HKCMAAAxqz6xvRZHQYAACwfQRgAABes8gmGWR4GAAAsF3uEsdROTk7i4cOHE9s8e/Ysnj17NqcRAcD6WNYTDOd9GAAArJPnz5/H8+fPJ7Y5OTmZ02guEoSx1M7OzuLNmzcT27x7925OowEAlsGqHwYAAIv07t27qX+nL5IgjKV2586duH///sQ2d+/endNoAIBl8EUp4sc/T7dh/jIeBgAAi3T37t148ODBxDYnJydxdnY2pxGNE4Sx1O7fvx/ffvvtoocBACyRwWEAP2pOb7uMhwEAwCKl2Z7o4cOHC6sas1k+AABrZ5UPAwAAriYIAwCASyzrYQAAwNUEYQAAAACsBXuEAQAwM3c2Iv73H6e3mXdfebTq9w8A8kAQBgDAzGxsRHyQUXiTZV95tOr3DwDywNJIAAAAANaCIAwAAACAtSAIAwAAAGAtCMIAAAAAWAs2ywcA4AInGAIAq0gQBgDABU4wBABWkaWRAAAAAKwFQdgCdLvd2N7eTt22Wq1GsViMjY2N2NzcjK2trahWq9Htdm88hlqtFtvb27G5uRkbGxtRLBajUqlEu93OVZ8AAAAAWRGEZajX68XGxsbUj2KxGEmSTO2vVqtFsViMRqMxDL16vV50Op1oNBpRLBajVqtda4ztdjs2Nzdjf38/IiIODw/j+Pg4Dg4OotPpxPb2dmxvb0ev11tonwAAAABZ2+j3+/1FD2JV1Gq1YRg0zfHx8cQwbHt7O9rtdhQKhSiXy5EkSXS73eh0OhcqwQ4PD2NnZ2fqNdvt9rASbXd3N+r1+oU2W1tb0el0IkmSODo6ikKhMPc+03j48GG8efMmHjx4EN9+++2t+wMA1ku/H3E25VXwnY33e6UBANla5N/0grAMbW5upqp6KpfL0Wq1rvz6/v5+1Gq1ODg4iL29vQtfvyxwm/bf2Ov14gc/+EH0er1IkiSOj48vbdftdqNYLKYa5yz6TEsQBgAAAMtpkX/TOzUyI41GI3q9Xuzt7U3d/+vRo0dXfq3b7UatVotWqxXlcvnSNnt7e3F8fByNRmP4b51OJ0ql0pX9ViqVYUg3qWotSZLY2dmJZrMZ7XY7Go1G7O7uzq1PAAAAgFlREZaRQcXTVVVRaVUqlfj0008vrQQb1ev1YnNzc3j7quqxiPGKrIiI09PTicsTm81mVCqViIgoFApxeno6lz6vQ0UYAAAALKdF/k1vs/wMNJvN6Ha7qfcHm2RQVTZNoVAY22NsUgh1cHAw/LxcLk/do2t0v7FerxfNZnMufQIAAADMkiAsA19++WUUCoV48uTJrfu6zv5Zb9++HX4+abnl6BLKScsnR42GbC9evJhLnwAAAACzJAi7pU6nE51OZ7hUsVgsRrVanXnFU6/XG+7PVS6XrwyjOp3O2O1PP/00Vf+j/Z2/L7PoEwAAAGDWBGG3dH45ZLfbjUajEZVKJTY2NqJSqVwIjrLw9ddfR8T7KqvDw8Mr27Xb7bHbo1VZk5xvN3ofZtEnAAAAwKwJwm6h2+1eCIXOazabsbW1FdVqNbPr9nq9qFarUSqVotVqTdyf69WrV2O3p+3lNfDxxx+P3X79+vVM+wQAAACYtQ8XPYBlliRJ1Ov16PV6cXx8HO12O7rd7qVtG41GvH79Oo6Ojm51zW63G9vb21EoFOLly5dTQ6jz47lp9dboaZiz6BMAAABg1lSE3dLu7m7s7e1FvV6P4+PjOD09jYODg0sDqk6nE9vb2ze+VrPZjGKxGN1ud7gnWa1Wm/g9VwVz1zXYj2xWfQIAAADMmoqwjBUKhdjb24u9vb1oNpvx9OnTscCn3W5HrVaLvb29VP31er1oNBpRr9cvDaD29/fj1atXV+4TdtOw6XyQN3pC5Sz6vKmTk5N4+PDhrft59uxZPHv27Nb9AAAAwKp6/vx5PH/+/Nb9nJycZDCamxGEzdDOzk6Uy+V4/Pjx2MbwX375ZeogrN1ux/HxcZTL5Sv3JGs2m9cK125iFtVbWfR5dnYWb968uXU/7969u3Uf5M/z58/j3bt3cffuXUEnK8kcZ5WZ36wy85tVZn6vtnfv3mXyN/gibfT7/f6iB7EOtra2xsKwVqsV5XL5Rn01Go3Y39+/ECSdnp5eqLra3Nwca5f2v7vdbo8t49zZ2RlWnc2iz+t6+PBhvHnzJu7cuRP379+/UR+jVIStpsE8efDgQXz77beLHg5kzhxnlZnfrDLzm1Vmfq+2LCvCzs7OFjJPVITNyVdffRVbW1vD27cJwnZ3d6NcLsfW1tZYINVoNC5Uhd27dy+Tyqt79+7NtM+bun//vl+uAAAAMAdZFZEMAtNFsFn+nJRKpbHg67YbzidJEi9fvhz7t1evXl1oN+1UyaucD7pG+5lFnwAAAACzJgibo9ucGHmZUqkUOzs7w9uXhWuPHj0au522kuv8RvbFYnGmfQIAAADMmiBsjpIkGX6exbLAiIjPP/98+PllgdTocsyI9JVox8fHY7dHq9lm0ScAAADArAnC5mg0CMtqWWCpVJrY5/nqrbSh1WioVigUxsY+iz4BAAAAZk0QNkevX78efp71MsmIiwFVxPugbDQgu2wfscuMjvV8v7PoEwAAAGDWBGFzNLo0MKtlgaPVWFeFa0+ePBl+3ul0UvU72m5/f38ufQIAAADM0oeLHsA6aTabERGxt7eXWZ+DcKlQKIxtnD+qWq1Go9GIiIh2uz21z9E2SZJcGtrNos88e/78ebx79y7u3r2byVGxWTCm5ZTHn5ExpZPHMeVNHn9GxpROHseUR3n7OeVtPBHGtMzy9nPK23gijGmZ5fHnlLcx5W08M9VnLg4PD/sR0S8UCv3T09PM+i0UCv2I6B8eHk5sVy6X+xGRqu3u7u6wbb1en2ufaT148KAfEf0HDx7cuq88Xi8NY5oub+Pp940pLWNKJ29jytt4+n1jSsuY0snbmPI2nn7fmNIypunyNp5+35jSMqZ08jamdfob29LIG2q327G5uRkbGxuxvb09cXlgt9uNp0+fRkTEy5cvJ26UX6vVYmtrK/b39y89BXLUoM3e3t6V1WAD9Xp9+PmXX355Zbterzes9CqXy7G7uzvXPgEAAABmRRB2Q4eHh8Ogqt1ux9bWVlSr1QvtBl+7d+9eHB8fj53yeF6v14v9/f3odDpRq9Vic3Pzyr20KpVK1Gq1ODg4iIODg6njTZIkDg8PIyKG/V/m8ePHEfF+qeWg/Tz7BAAAAJgVQdgNVSqVC//WaDRic3MzKpVKVKvV2Nraiu3t7djd3Y2jo6NIkmRin4VC4UKbQSBWqVRif38/tre3Y3NzMyLeb75/nf3GdnZ2otVqRaFQiP39/ahUKtHpdKLX6w0Du06nE6VSKb755puJlWuz7BMAAABgFgRhN1Qul+P4+Dh2d3cjSZKxgKfT6cTbt2/jJz/5SZyensbBwUHqAOjo6Cj29vaiVCpd6LPb7UalUolvvvkmDg8PpwZrV417MKZutxuPHz8eBm337t2Lw8PDODo6ulZgNYs+AQAAALLm1MhbSJJkbJ+sLBQKhVRLHW9rb28v09MrZ9UnAAAAQFZUhAEAAACwFgRhAAAAAKyFjX6/31/0IOC6vv/978fvfve7uHPnTty/f3/m1zs5OYmzs7O5XS8NY1q+8UQYU1rGlE7expS38UQYU1rGlE7expS38UQYU1rGtHzjiTCmtIwpnbyNad7jGVzve9/7Xvz2t7+d+fVGCcJYSh988EGcnZ0tehgAAADADd25cyd+//vfz/WaNstnKX300Ufx3XffxQcffBB/8id/sujhAAAAACn953/+Z/z+97+Pjz76aO7XVhEGAAAAwFqwWT4AAAAAa0EQBgAAAMBaEIQBAAAAsBYEYQAAAACsBUEYAAAAAGtBEAYAAADAWhCEAQAAALAWBGEAAAAArAVBGAAAAABrQRAGAAAAwFoQhAEAAACwFgRhwFKr1Wqxvb0dm5ubsbGxEcViMSqVSrTb7Zlet9PpRLVajWKxGBsbG8Nr7+/vR6/Xm+m1WR+Lmt/ndbvd2N7ejmazOdfrspwWOW/z8phhdeVljvm9zCx4Xc3a6AMsoVar1S8UCv2I6JfL5X6r1eofHx/3Dw8P+0mSDP/99PQ00+uenp72d3Z2+hEx8aNer2d6XdbLoub3eefnu3nNJIuct3l5zLC68jLH/F5mFryuZt0IwoCl02q1hk+Mu7u7l7YplUr9iOgnSZLZk/bp6enwxUCaj6vGBpMsan6POj097e/t7XkhSmqLnLd5eMyw2vIwx/xeZla8rmYdCcKApXJ6ejp8xypJkivbHR8fD584y+VyJtcul8v9iOiXSqX+4eFh//j4ePhu2WUvTiOif3h4mMm1WQ+LnN8DBwcH/SRJhvPdH1xMs8h5m4fHDKstD3PM72Vmxetq1pUgDFgqoy8Cp734y3LpQL1e70dEf29v78o2x8fHw3fMBh+FQuFW12W9LGp+DxwdHfWPjo6Gtwfz3h9cTLLIebvoxwyrb9FzzO9lZsnratbVRr/f7wfAEuh2u1EsFoe3T09Po1AoXNm+2WxGpVKJiIhCoRCnp6c3vnaxWIwkSaLVal1rjBERrVYryuXyja/Neljk/L5Kp9OJra2t4e16vR67u7uZX4fltch5m8fHDKslj3PM72Wy4nU168ypkcDSODg4GH5eLpcnPllHROzs7Aw/7/V6Nz5ZqdPpRLfbjcPDw6ltkyQZG+fg+2GaRc3vSaaNARY5b/P4mGG15HGO+b1MVryuZp0JwoCl0Wg0hp+XSqVU35MkyfDzFy9e3Oi6L168iN3d3dQvPs+/S/Wb3/zmRtdlvSxqfsNtLHLeeswwa+YYq8zrataZIAxYCuff/fn0009Tfd/oE/tN37n6/PPPL7wblfaaEXGhpBvOW+T8hpta5Lz1mGHWzDFWmdfVrDtBGLAU2u322O3Rd6QmOd/uJuXUpVLpWksRer3exDHAeYuc33BTi5y3HjPMmjnGKvO6mnUnCAOWwqtXr8Zup30C/fjjj8duv379OqshXanb7Y7dtqEn0yzT/IaBRc5bjxlmzRxjlS3T/Pa6mlkQhAFL4fyT4E3fuTo+Ps5sTFcZfVHgJCfSWKb5DQOLnLceM8yaOcYqW6b57XU1syAIA5bC+SfsmzpfXj0L9Xp9+Pn+/v7Mr8fyW6b5DQOLnLceM8yaOcYqW6b57XU1syAIA5bCTZ9oz5d6v3379vaDmaDb7Q73Szg4OLCPAaksy/yGUYuctx4zzJo5xipblvntdTWzIggD1sqs37kanIKTJEns7e3N9FpwnsoDltEi563HDLNmjrHKvK5mWQnCgKVwndNl5tHPZTqdTjQajSgUCtFqtWZ2HVbPMsxvOG+R89Zjhlkzx1hlyzC/va5mlgRhwK01Go3Y2NjI9GNra2vsGvfu3ctkrFn1c5mnT59GRMTLly+Vbq8Q8xsut8h56zHDrJljrLJlmN9eVzNLgjBgKdz0HafzJduzeueqWq1Gp9OJw8PDKJVKM7kGqyvv8xsus8h56zHDrJljrLK8z2+vq5m1Dxc9AGD5lcvlODw8zLTP80+sjx49Gm6WGfH+iTjNk+/5TTyLxWIWwxvTaDSi0WhEvV6PnZ2dzPtnsdZ9fsNVFjlvPWaYNXOMVZbn+e11NfMgCANuLUmSmZcsn19K1u12U71DdHx8PHa7XC5nOq52ux3VajXq9Xrs7u5m2jf5sM7zGyZZ5Lz1mGHWzDFWWV7nt9fVzIulkcBSePTo0djtbreb6vtGS7gLhUKmgUan04nt7e04ODjwZM2t5HF+wzSLnLceM8yaOcYqy+P89rqaeRKEAUuhVCqNlWy/evUq1fe9fv16+Pn5J/3b6Ha78fjx49jb23OcM7eWt/kNaSxy3nrMMGvmGKssb/Pb62rmTRAGLI0nT54MPx/d12CS0Xb7+/uZjKPb7cbW1lbs7u7GwcFB6u+p1WqZXJ/VlJf5DdexyHnrMcOsmWOssrzMb6+rWQRBGLA0qtXq8PN2uz21/WibJEky2ceg1+vF9vZ2PHnyJPWTdUREpVKxTwgT5WF+w3Utct56zDBr5hirLA/z2+tqFkUQBiyNUqk09qTXbDYnth896W/au1aNRiP29/cn7pHQ6/Via2srkiQZtp320W63hxuSOv6ZSRY9vy9z/ph0OG+R83aW14YIv5dZbYue315Xs1B9gCVyfHzcj4h+RPRLpdKV7U5PT4ftyuXyxD7L5fKwbUT0T09PL21XKpXG2l3no16v3+ZusyYWOb8vc3h4OPa9BwcHqb+X9bHIeTuLa8Mov5dZZV5Xs64EYcDSGX0ReNULwMGTa6FQmPoCM82T622erL3nwHUsYn5f5vT0tJ8kydj3TnqRzHpb5LzN+tpwnt/LrDKvq1lHZhGwlFqtVr9QKPQjor+zs9M/Ojrqn56e9lut1vDJtVQqpfqDZ9DP4KPVao19fWdn51ZP1ru7uzP6KbCq5jm/R52envZ3dnYuvJt7/qNcLg/HBQOLmrdZXxsu4/cyq8zrataNIAxYagcHB/1SqTR80i0UCv1yudw/PDxM3Uer1eonSdIvFAr9vb29GY4Wrsf8Zhktct5mcW2YxO9lVpn5zbrY6Pf7/QAAAACAFefUSAAAAADWgiAMAAAAgLUgCAMAAABgLQjCAAAAAFgLgjAAAAAA1oIgDAAAAIC1IAgDAAAAYC0IwgAAAABYC4IwAAAAANaCIAwAAACAtSAIAwAAAGAtfLjoAQAAAADLr9PpxIsXL6LX60W9Xl/0cDK36vdvXagIAwAAAG6k3W5HtVqNYrEYW1tbUavVotvtLnpYYzY3N2NjYyPa7fa1vzfv96/X60WlUolOp7OQ69dqtdjf31/ItW9KRRgAAABwbdvb2/H27duFhTBptNvt6PV6ERFRLpev9b15v3/tdjsqlUrs7u5GqVQa/vvGxsbMr93v9yMiYnd3NyqVShSLxWi1WpEkycyvfVsqwgAAAIBra7VacXR0FK1Wa9FDudLh4WFEROzs7Fz7e/N8/2q1Wmxvb8fBwUEcHByk+p5CoRBJkgw/LjP69UKhkKrPVqsV5XI5tra2chsajhKEAQAAADd23Uqrefr6668jIuLzzz+/cR95u3+D5Yj1ej12d3fHvjaofhvY3d2No6Oj6Pf7cXp6GsfHx8OP0SqyiPf3c/Trp6en0e/34/j4eGrYVq/XlyYME4QBAAAAK6fT6dx4WWReNRqN2N/fj729vQsh2HmHh4dRr9cvBF7XlSRJ7O3tjVXGnQ/cBtcrlUrx+PHjS7+eF4IwAAAAYOUMTnYsl8uplvnlXbPZjGq1GqVS6coKrbdv30bE+/t8k+Wgk5TL5amB4uHhYfR6vXj8+HGm186SIAwAAABYOYNlkZVKZcEjub1erxdPnz6NiEi1J1i1Wp3JOAb9DgK385Ikid3d3eh0Ork9TVIQBgAAAKyU0WWRT548WexgMlCpVKLX60WpVJpYlTXrpaBp+h0EYLVaLdrt9kzGcRuCMAAAAGClvHjxIiIiSqXS0i+LbDabw0DpJz/5ycS2SZJEvV6f2X0uFApRr9fj3r17E8cwCMxmVZl2G4IwAAAAYKJmsxnb29uxubkZGxsbsbW1FdVqNbrd7qKHdqlmsxkR6U+LzPP9+/LLL4efT9v3q1AoTN1E/7Z2d3enBm3b29sREdHtdqPRaMx0PNclCAMAAAAu1e12o1gsRqVSibdv38bBwUG0Wq34/PPPo91uR7FYjFqtNrWfSqUyDJku+9ja2hqGTtVq9dK2xWIx1WmE3W532Ne04Cir+xfxfkngVfdv2sfW1talfbbb7eh0OhERtz79cZ5Gl1Cm2dNsnj5c9AAAAACA/Ol0OsOA5uDgIPb29oZfK5fLsbe3F9VqNdWm6IeHhxHxPuQ6XyF0vu96vR7VanV47VKpFC9fvky93G9QDZYkSSRJMpf7F/H/9+dKkiSq1eqV13716tWFcO2qsGhw8uVgTMtiNLTrdrvRbDYzP8XypgRhAAAAwJhutzsMiXZ2dsZColH1ej1ev349rFqapl6vR7fbHdtE/fj4+EK7169fR8T78KfVal1r7IP9wSYFL7O6f4VC4dL7M2p0qWPE+6WGV4Vcg1AvIuLTTz9NNYa8KJfLw//nVquVmyDM0kgAAABgTKVSGX4+bWnbdZe+DarDBhqNxtiSx16vF/v7+1EoFC60nabX6w1Dq0n7g83q/k3bzL5Wq42FaoPN5y9zPnybVN2WR6NVYV9//fUCRzJOEAYAAAAMNZvNsX2ppgUwjx49ulb/l4U/T58+Hfu81+vF4eHhtU8/HAQuhULhyj21ZnX/3r59O3Efr263e2GZ5aSgb7RqLmL5grCPP/54+Hmv18vFwQMRgjAAAABgxOjSvWq1OrX9dcOqiIvLAZvNZrTb7Wg0GtFsNicuF5xkECw9efLkyjazun8HBwcTxzxahRYxeUlkxPu9xG4yjrw4H9ylXV46a/YIAwAAACLifdXSaGAxyyqker0exWJxeHsQFCVJcuVywWkGVVTnQ6eBWd6/SX01Go0LSyKnLblMc0Jmnp0P7t6+fbuYgZyjIgwAAACIiPkux0uSZCwM6vV6wyWRNzHYWL5QKFxZabWI5YbdbvdC5VmaZZ95CY6ykpdgTxAGAAAARETE0dHR2O1ZB0V7e3sT99W6jsFpkZOWG877/kVcXH65s7OTatnnaHC0bMsiIyLu3bs3dvs3v/nNgkYyThAGAAAAREQsZEPz8xVgVy1rnGZQETbptMh5379GozFWhVYoFOKrr766dj95qaZaBYIwAAAAICIuLsebR3B0fj+wy05XnGY0bNrZ2bmy3TzvX6/Xu3A/vvrqq9TVXctYBTbq/M969BTJRRKEAQAAAJeadSVSp9OJWq12Ibyq1WrXOmVwUFU2KQS7zCzvX6VSGet/Z2fnWuObx7LNecpLsCcIAwAAACLi4r5Os64Iq1Qqw+WC5yvDrrNE8uuvv46IycsiI+Z3/5rN5q2XRJ4f67Itjzw/3rwEe4IwAAAAICIuhhWtVmtm16pWq9HtdofLBXd3d8c2zu92u1Gr1ab20263h6HLtE3o53H/er1ePH36dOzfrrMkcmB7e3vs9rKdInk+ZHz06NGCRjJOEAYAAABExMXwZVBplbV2ux2NRiPK5fLYcsHzG+fv7+9PrdoafE+5XJ4aNs3j/j19+vTaSyJrtVo0Go2xfzsf6i3iIIPbGD0lMkkSSyMBAACAfDkfvvR6veFpjGmlqVwaLHs8H3wlSRIHBweXtr3KIMxKs5Ry1vev3W6P9Zd2SWSr1bqwFLJQKIxVsM2yOi8i+4qz0eBuWqXePAnCAAAAgIh4H76cr146X+F03vlN7aftZTXYRL5er19aJbS3tzcWAA021L/q2oPrPXnyZOJ1I2Z//86HcWmWRPZ6vWi325fuoTU61tE9x7Jw/n5kvQfZ6Hivs9/brAnCAAAAgKHzFUy9Xi8eP358aVDS7XYvhBzdbvfK0KbZbEaz2YwkSWJ3d/fKMVy2RPKyUyRfvHgRERGlUin10rtZ3b9qtTrWx/lln1cZ7Cd2WRD2k5/8ZPj5dU7RnKbb7V5YatntdjMLw3q93rCvJElUhAEAAAD5VCgULgRRnU4nNjc3o1qtRrPZjEajEdVqNYrF4qUhx/b2dmxsbES1Wh3+W7vdHoZK0wKiy0Khx48fXwiDBssQp50WOWoW92+w59moSqUS7Xb7wseg//39/SgWi8P7cFmQVygUYm9vb3g7i6qwTqdzZYVWpVLJJHAb3Xttf3//1v1laaPf7/cXPQgAAAAgXwbB1aQqod3d3ajX67GxsTH8tyRJolqtxs7OTiRJMqyqOh+wlMvlODw8vBAA1Wq1qNfrV24OXyqVhkFWsViMiIjj4+NLw7N53L+IiK2trVsFSIVCIU5PTy/9Wq/Xi83NzYh4v2z0/B5qaV13jEmSxPHx8a2udZs+ZkUQBgAAAFypVqvFixcvhkvnCoVClMvlqFarw2qpYrEYOzs78fnnn0epVJrbuPb3928dtuT1/o0aVKhNCszyotvtDgPKo6Ojhfy8JhGEAQAAAEtnUHV0myqpZVKpVKLZbEa9Xp+4v9qibW9vR7vdzu3/iyAMAAAAWCqjywXzWHU0K8ViMd6+fRvffPNN6sMB5qndbsf29naUSqU4Ojpa9HAuZbN8AAAAYKkMNmMvFAprE4JFRLRarej1esOTJvOk1+tFpVKJJEni5cuXix7OlQRhAAAAwFIZbJb/5MmTBY9kvpIkiaOjo2g2m2Mnci5ar9eLra2tuHfvXhwdHeWyWm1AEAYAAAAsjV6vF+12OyLe75u1bgbLDr/++utchGGDEGwQ0uU5BIsQhAEAAABLZBCCDU53XEeDMOz169exvb0dvV5vIePodDrxgx/8IKrVarRardyHYBE2ywcAAACWyGjoswzBy6zVarXY2dmJJEnmfu1msxlJkizVPm2CMAAAAADWgqWRAAAAAKwFQRgAAAAAa0EQBgAAAMBaEIQBAAAAsBYEYQAAAACsBUEYAAAAAGtBEAYAAADAWhCEAQAAALAWBGEAAAAArAVBGAAAAABrQRAGAAAAwFoQhAEAAACwFgRhAAAAAKwFQRgAAAAAa0EQBgAAAMBaEIQBAAAAsBYEYQAAAACsBUEYAAAAAGtBEAYAAADAWhCEAQAAALAWBGEAAAAArAVBGAAAAABrQRAGAAAAwFoQhAEAAACwFgRhAAAAAKwFQRgAAAAAa0EQBgAAAMBaEIQBAAAAsBYEYQAAAACsBUEYAAAAAGtBEAYAAADAWvi/YIsUo2TktlsAAAAASUVORK5CYII=",
      "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": 5,
   "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_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(\"$t_y$\")\n",
    "plt.ylabel(r\"$z_{\\mathrm{Mag}}$ [mm]\")\n",
    "mplhep.lhcb.text(\"Simulation\")\n",
    "# plt.show()\n",
    "plt.savefig(\n",
    "    \"/work/cetin/LHCb/reco_tuner/parameterisations/plots/magnet_kink_ty_dist.pdf\",\n",
    "    format=\"PDF\",\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "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_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": 7,
   "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": 8,
   "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": 9,
   "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, 51)\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(r\"$z_{\\mathrm{Mag}}$ [mm]\")\n",
    "mplhep.lhcb.text(\"Simulation\")\n",
    "# plt.show()\n",
    "plt.savefig(\n",
    "    \"/work/cetin/LHCb/reco_tuner/parameterisations/plots/magnet_kink_deltatx_dist.pdf\",\n",
    "    format=\"PDF\",\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "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": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "intercept= 5308.689740859701\n",
      "coef= {'dSlope_xEndT_abs': 94.8390840129271, 'x_EndT_abs': 0.03952176022974936, 'ideal_state_770_tx^2': 70418.55504271125, 'ideal_state_770_tx dSlope_xEndT': 62087.4827671762, 'dSlope_xEndT^2': 13580.830615214854, 'x_EndT_abs^2': -0.000842287765099925, 'ideal_state_770_ty^2': -2237.8985443626666, 'ideal_state_770_tx^2 x_EndT_abs': -16.447718852307414, 'ideal_state_770_tx dSlope_xEndT x_EndT_abs': -13.929546692369508, 'dSlope_xEndT^2 x_EndT_abs': -3.2033475757333143, 'dSlope_xEndT_abs ideal_state_770_ty^2': 3364.6401097763382, 'x_EndT_abs^3': 1.936634587279551e-07}\n",
      "r2 score= 0.8153420697863665\n",
      "RMSE = 37.11860171392724\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",
    "    \"x_EndT_abs\",\n",
    "    \"ideal_state_770_ty\",\n",
    "]\n",
    "\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(\n",
    "    data, target, test_size=0.2, random_state=42\n",
    ")\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",
    "#     \"dSlope_xEndT^2\",\n",
    "#     \"dSlope_xEndT_abs\",\n",
    "#     \"x_EndT_abs\",\n",
    "# ]\n",
    "\n",
    "keep = [\n",
    "    # \"ideal_state_770_tx\",\n",
    "    # \"dSlope_xEndT\",\n",
    "    # \"ideal_state_770_ty\",  # no\n",
    "    # \"ideal_state_770_tx x_EndT_abs\",  # maybe no\n",
    "    # \"ideal_state_770_tx ideal_state_770_ty\", # dont keep\n",
    "    # \"dSlope_xEndT_abs x_EndT_abs\",  # dont keep\n",
    "    # \"ideal_state_770_tx^2 dSlope_xEndT_abs\", # dont keep\n",
    "    # \"ideal_state_770_tx dSlope_xEndT dSlope_xEndT_abs\",  # dont keep\n",
    "    # \"dSlope_xEndT^2 dSlope_xEndT_abs\", # no\n",
    "    \"dSlope_xEndT_abs\",  # keep\n",
    "    \"x_EndT_abs\",  # keep\n",
    "    \"ideal_state_770_tx^2\",  # do keep\n",
    "    \"ideal_state_770_tx dSlope_xEndT\",  # do keep\n",
    "    \"dSlope_xEndT^2\",  # keep\n",
    "    \"x_EndT_abs^2\",  # do keep\n",
    "    \"ideal_state_770_ty^2\",  # keep\n",
    "    \"ideal_state_770_tx^2 x_EndT_abs\",  # do keep\n",
    "    \"ideal_state_770_tx dSlope_xEndT x_EndT_abs\",  # do keep\n",
    "    \"dSlope_xEndT^2 x_EndT_abs\",  # do keep\n",
    "    \"dSlope_xEndT_abs ideal_state_770_ty^2\",  # maybe keep\n",
    "    \"x_EndT_abs^3\",  # do keep\n",
    "]\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=0.00001)\n",
    "# lin_reg = LassoCV()\n",
    "# lin_reg = ElasticNet(alpha=0.0001)\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": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['x_EndT_abs^3']"
      ]
     },
     "execution_count": 12,
     "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": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['dSlope_xEndT_abs',\n",
       " 'x_EndT_abs',\n",
       " 'ideal_state_770_tx^2',\n",
       " 'ideal_state_770_tx dSlope_xEndT',\n",
       " 'dSlope_xEndT^2',\n",
       " 'x_EndT_abs^2',\n",
       " 'ideal_state_770_ty^2',\n",
       " 'ideal_state_770_tx^2 x_EndT_abs',\n",
       " 'ideal_state_770_tx dSlope_xEndT x_EndT_abs',\n",
       " 'dSlope_xEndT^2 x_EndT_abs',\n",
       " 'dSlope_xEndT_abs ideal_state_770_ty^2',\n",
       " 'x_EndT_abs^3']"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "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": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
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a7ufe+J4O+7sCAAAAjDQXQEei0agr6cgtGAy65XL51POr1aqby+XceDzumqZ5ZJxMJnPsueVyueXcktxqtdrR9ViW1XK8VCp1pnHi8XjLcSzLcnO5XFtjVKtVN5lMuoZheO/padd1eF7DME6dp/F9DAaDbcV2WCqVanm94XDYjcfjbiqVcqPRaNNn3O535PBnctx3olqtHnmvjxMOh9v6fHO5XNNx0Wj02Lnrn9Phm2EY3mfeeIxlWW65XD7ymbYb2+HjGm/JZNJ13dZ/n+FwuGmc476rra613c+iLpPJeNdsGIabSqXccrnslstlN5VKed+HeryttPsZHD6u0+8yAAAAMA5IhAFnVCwWT/wh3qtbq8RPtVp1U6nUsYkHSa5pmm4qlWo7IVYsFt1gMHhiLPF4vK3ETV0ulzs2sWYYhhsOh91UKuXmcjm3WCy6uVzOTaVSbjKZbDrPMIxTEw51rZKDpmkem3xrTFQcTpCcRS6X8+LMZDJuNBp1g8Gga1lW0+dUv+7TkoH179dxn7FlWV7y5KRjTdN0w+Gw9z04nIw7nDipj5nL5Y79Ppim2TIZU61Wm8a3LMuNx+NNx9SfO/w9qlarp15vqzmTyaQ3n2mabjweb/rOV6tV7zoa37PDGhPRlmU1fd/O8lkcJ5VKucFgsCkpVj/vuL/Rk/4mGz+Dcrl84nGnxQYAAACMI5/ruq4AnCqdTvelUXsrlmWpWCw2Pefz+c48jmEYqlarLV+LRCIt+yudJpfLtb18MJvNanV11Vvu2S7TNBWLxRSNRs/UN6nej+rwdRmGofn5eRmGIcdxVCgUvD5smUzmzMshAQAAAADnE4kwAH3nOI7y+bw2NjZk27bXi0k6SHrVNwZYWFhQOBw+8yYBp81Xn7M+z/z8vCKRCAkwAAAAABgzJMIAAAAAAAAwFtg1EgAAAAAAAGOBRBgAAAAAAADGAokwAAAAAAAwEGtrawqFQpqenpbP55Pf71ckElE+nz+Xcw/zetAZEmEAAAAAAKCv8vm8pqenlUgkJEmZTEblclnJZFKlUkmhUEihUEiO45yLuXs5Zj2J1sktFot18paMNZrlAwAAAACAvsnn8wqFQpKkaDSqVCp15JhAIKBSqSTTNFUsFmUYxsjO3csxs9msIpHI2S6qQSaTUTgc7vj8cUQiDAAAAAAA9IXjOJqdnZXjODJNU+VyueVxtm3L7/dLkoLBoHK53EjO3esxQ6FQV8soSemcHUsjAQAAAABAX0QiEW95YH0ZYSumaXqVTfl8Xul0eiTn7uWYtm0rn8/LNE2lUimVy2VVq9VTb6ZpSjpIsOHsqAgDAAAAAAA911gVJUnVavXEZYeNywQNw1C1Wh2puXs9ZiKRUDabPdNS0MYYUqmUotFoW+fhr34y7ACA88Dn83n3JyYopAQAAABwse3v73v3O62fSSaT3v1gMHhqsqex15XjOMpmsx33v+rH3L0eM51Oa2tr60z90LLZrHd/aWmp7fPwVyTCgDNq/AcBAAAAANBa43JAy7LaOsc0Tdm2LUna2NjoOBHWj7l7PWYmk2l7nLqNjQ1J7SXi0BqJMOCMRqkirDEpN0pxDRPvyVG8J0fxnjTj/TiK9+Qo3pOjeE+O4j1pxvtxFO/JUaP6nnRbAFAqlZoeLywstHWeZVle4qix+mnYc/djzLP2+HIcx4ujm50mxx2JMKANExMT2t/f18TEhD58+DDscDwfffSR3r17pytXrujHH38cdjgjgffkKN6To3hPmvF+HMV7chTvyVG8J0fxnjTj/TiK9+SoUX1PLl265P0G6sThnRDrDd5Pc/i4Uql05qqpfsw9zOupa6xI6+eyyN3dXZVKJVUqFTmOo/fv30uSLl++LMMwZJqm5ufnNTk52bcY+olEGAAAAAAA6KnXr183PW53Gd/ly5ebHhcKhTMnjvox9zCvp66+LNKyrJ4vi3zx4oVyuZw2Nze9XTFPY5qmgsGgIpGIbty40dN4+olEGAAAAAAA6Kn6csC6TiuoyuXySMw9zOuRmpdF3rp1q6MxWnn27JmSyaR3fY0bIzRuGteofky5XJZt20qn0zJNUw8ePNDnn3/es9j6ZXQWIAMAAAAAgAvhcOKoU+1WJ/V77mFejyRtbm569zvdQKDRq1evdO3aNcVisZZJsPrjVrdWx9i2rWg0qr/927/Vd99913V8/URFGAAAAAAAF8STJ0/05MmTrsfptll+pwmfw0v+KpXKSMw9zOuRpFQqJelgWWS71WjHWVlZ0dra2pGkVjAYlGVZunz5skzT9GKfmZmR9NfYHceRbdt6//69bNtWPp/33p+3b9/KsiwlEgl99dVXXcXZL+cuEXbt2rVhh+Dx+Xz6l3/5l2GHAQAAAACAJKlWq+ndu3fDDqNnOk1AjercnYzZq2WRtVpNi4uLKhaLkg4SX6FQSMFgUHNzcx2PK0l7e3va2NhQOp1WqVRSMplUPp9XPp8fuab65y4RVi6X5fP5jmQuB6k+/3HrZQEAAAAAGIbJyUlduXKl63G6TaYZhtGTRFInTeH7Mfcwr6cXyyLfvHmjxcVFVatVRaNRJRIJzc7OdjRWK1NTU4pGo4pGo7JtW7FYTFtbW5qfn1exWNRPf/rTns3VrXOXCBsFw0zCAQAAAABwnHv37unevXtdj3Pp0qWulkfOzMz0JHFUX5Y37LmHeT31ZZGmaXa0LHJ7e1uBQECWZalQKPQ0AdaKaZrK5XLK5/OKRCIKBAIqFAojUxl2LhNhrusqHA53vS62U47jKJ1OD2VuDNf+/r4++uijE4/p1T887bh3755qtdrI/B8KRhPfk6N4T5rxfqAdfE+O4j05ivcEp+E7ctRFfU86qXySji4d7LQirNdzD+t6GpdFdlINtrOzo8XFRYXD4abKskEIBoPa2dlRIBDQ0tKSfv/73w90/uOcy0RYOp3W7du3hxpDOBzWp59+OtQYMBynlQjXarUBRaKBJdxwvvE9OYr3pBnvB9rB9+Qo3pOjeE9wGr4jR13U92R+ft5L4EgHCZ12kkCHm8n7/f6RmHtY19OYvOqkP1goFNLS0pKePn165nN7wTAMFYtFzc/P6+uvv9avf/3rocTR6FwmwoLB4LBD0MLCwrBDwJCctt7+ov2XHAAAAAA4q0Ag0PTYtm1ZlnXqeeVyuelxJ7//+zH3sK4nk8lIOkgotTNfowcPHsg0zaElweoMw1ChUJBpmlpcXNT169eHGs+5TIR1sqYW6IWJiQn9+OOPww4DAAAAAEba/Px80+N2E0eNSwkNw+ioJVI/5h7G9TiOo3w+L0mKRqNtn1d3+fJlL5E2bIZhaGtrS7ZtDz0RNjHU2TvATo0AAAAAAIw2y7Kalg6+fv26rfMKhYJ3/3DyaZhzD+N6ul0Wef/+fU1NTZ35vH6Zm5vTL3/5y2GHcf4SYaO0Y+MoxQIAAAAAwChZWlry7jf21zpJ43GJRGKk5h709XSzLHIY7t69O+wQ2nLuEmHJZHIkejBNTU0pmUwOOwwAAAAAAEZSLBbz7teX+J2k8RjTNLvqD96PuQd5PY3LIhsTcKMsnU5rd3d32GGc6twlwu7fvz/Q+U76EAcdCwAAAAAA54VlWU3Jn2w2e+Lxjf2sTqueSqfTSiQSsm17YHP383oOa1wWGYlEznTuMGxtbcl1XT1//nzYoZzK57K+70Sffvqp/vCHPww7DAzZpUuXtL+/r4mJCX348GHY4eAEH330kd69e6crV66wsQGAjvH/JQB6gf8vwXnWq99Atm3L7/dLOkgkFYvFlsc5jqPp6WlJBzsr5nK5Y8cMhUJN1VbVarWpf1c/5+7HmK3Ur9EwDFWr1TOdK0l37tzRzs7Omc87q0qlIsdxZNu2XNeV3+/X999/3/d5u3Eud40cpMbGdgBG371791Sr1UZiCTWA84v/LwHQC/x/CXCwJDCTySgSiahUKmltbU3xePzIcYuLi5IO+mGdttPh4WWJm5ubLXdV7Mfc/RjzsMZlkZ0uDzUMQ7lcru8bDh6urbJtW2/evBn6zpAnGZuKsN3d3aZtS09j27ZSqZTy+TwVQKAiDAAAAMBY6fVvoHw+r0gkIsdxFA6HtbKyItM0VSgUlEgkVCqVZFmWtra2WlZ3NZqenm76fZ/L5U5MGPVy7n6OWZdOp71+ZKdd23G2t7cVCATaToS5rtt10qw+RiKR0FdffdXVWP10YRNhu7u7SiaTyufzx64ZPk39QyTxARJhAAAAAMZJv34Dra2taWNjQ7Zty3EcGYah+fl5xWIxhcPhtsbI5/OKxWKqVCqKRqNtb2TXi7kHMWbj0s9uUjYff/yxdnZ22hrD5/N1NVfj+aO+PPJCJsJWVla0trYmqbsvjSQSYZBEIgwAAADAeOE30PkXi8X07Nkz5XI53bhx49jjHj16pEQiIcuylEwmNT8/r6mpqbbnKZVKWlpaUigU0u9+97tehN5XFy4R9vz5c29HhXpZX7dZTf7owT8CAAAAAMYJv4HOv62tLT148ECvX78+9pidnR19/PHHikajXSWxbNvWxx9/rDt37ui3v/1tx+MMwoVLhM3Pz6tUKnlleaZpyrIsmaYpSbp8+fKpY7x//16O42hzc1N7e3v80YN/BAAAAACMFX4DXQyffPKJXr58eezrd+7c0dbWVk+WMtYr0PL5vH7xi190PV6/XLhE2MTEhFcJ9vLlS2+nhk7Ytq1r167xRw/+EQAAAAAwVvgNNB7m5+f12Wef6Ysvvuh6rPX1dcViMS0tLenf/tt/24Po+uMnww6g1wzD0N7enuLxeFdJMOlgW9TZ2dkeRQYAAAAAwPA9efJET548OfGY/f39AUWDYSqVSl6P9W7NzMxIOtjpcpRduESYaZra3t7WwsJCT8ZLpVI9GQcAAAAAgFFQq9X07t27YYeBEWAYhnZ2dnoyVj0B5jhOT8brlwuXCFtcXNT29rYqlUrPxgMAAAAA4KKYnJzUlStXTjyGRNl4mJ+f19OnT/X55593Nc7e3p7S6bSkg+TaKJsYdgC99uWXX8p1XZVKpZ6M9+zZs56MAwAAAADAKLh3755+/PHHE28TExcuXYAWotGoisWivv76647HqNVqCgaDkiSfz+dtVjiqLtw3e2pqSg8fPtTGxob+8pe/dD0eSyMBAAAAAMBFFA6HNTs7q3g8rs8++0y7u7tnOv/FixeanZ1tKka6detWj6PsrQu3a2RdKBTSpUuX9Pvf/77jMXZ2dvTxxx+zQwbYMQUAAADAWOE30PiwbVsff/yxfD6fJMmyLMViMZmmKdM0dfXqVUnS7u6uHMeRbdvK5XLa3NyU4zhyXVc+n0+u62p6elrv378f4tWc7sImwqSDta57e3tKJBLe7gWnqVQqchxH5XLZ+1D5o0f9HwFJp66lv3fvnu7duzeIsAAAAACgL0iEjZdSqaT5+XlJ8hJip6mnkxqPz+VyunHjRu8D7KEL1yy/7tWrV5KkcrmsWCzW0Rj1rCbQ6LSmkbVabUCRAAAAAADQPcuy9PbtW0UiEW1vb7d1Tj1fUk+IZTKZkU+CSRc0EXb37l1vt4J6ed5ZkQDDcU6rCJucnBxQJABGyW9Kf+r43F9ZP+9hJAAAAMDZmaapYrGobDarhw8fHtmE8HDiq/6/4XBY6+vrmpqaGmzAHbpwSyPX19e9CrBOk2CNfD4fZaCgLBjAqUiEAQCAi4TfQNjZ2VE+n1exWJRt26pUKpKkmZkZmaapUCikYDB4bhJgdRcuETY/P69SqeQlwYLBoEKhkAzDOHOfsKdPn2p3d5c/evCPAIBTkQgDAAAXCb+BcFFduETYxMSEfD6fDMNQoVDQ7Oxsx2M5jqPLly/zRw/+EQDGRDfJrG6QCAMAAKOG30C4qCaGHUCvGYYhSVpZWekqCVYfa25urgdRAQAAAAAAXAwrKyv64Ycfhh1GRy5cIiwQCEg6aPLWC+vr6z0ZBwAAAAAAYNS9ePFCd+/e1cLCgl68eNHymEAgoLm5OX322WfnLiF24RJhsVhMruvKtu2ejDeOFWG2bSsUCimbzQ5srnatra0pFAppenpaPp9Pfr9fkUhE+Xy+j1ECAAAAAHCxPX78WJcvX1YkElE6nVapVPIa5B8WDodl27a+//57maapb7/9dsDRdu7CJcLC4bDm5ua0sbHRk/GOy35eRI7jKBKJyO/3K5/PH/uFb3csn8936s3v97dVvZfP5zU9Pa1EIiFJymQyKpfLSiaTKpVKCoVCCoVCchyn45gBAAAAABg3e3t7unbtmhKJhKrVqlzXVTvt5A3DULFY1PXr1xUOh/XNN98MINruXbhEmHSQJCkWiz3JSK6urvYgotHmOI4SiYSmp6d7VgWWTqfbPrae3DpOPp/3klzRaFS5XE7BYFCmaSocDqtcLsuyLOXzeQUCAZJhAAAAAAC0KRKJqFwuS5JXtHIWW1tbcl1X0WhUf/zjH/sRYk9dyESYaZp6+vSpbt++3dU4e3t7KpVKPYpqNK2trSkQCPT8OttNINYTWsepV6lJB59rKpVqeVwmk5F0sNSyfjwAAAAAADje1taW8vm8fD6fVwk2NTWlYDDY9hiGYej+/ftyXVexWKyP0fbGT4YdQK/VlzL+zd/8jaanp3Xt2jWFw+Ezj+M4jjY3N3sd3kgplUoKBoOKx+OSDqq4evGlTafTchxH8Xj81P5f8/PzJ74eiUS8Cq+TKsfq1WHZbFb5fF7pdFrRaPTMsQMAAAAAMC7qxSb1iq5EIqHZ2VlJ0sRE+7VTn332mR49eqRyuaxvvvlGn3/+eV/i7QWf287Cz3Nkfn5e29vb3mPXdc9c1nf43A8fPvQqvJFWKpW8XTelgz+ITpJJfr9fkrzSyk7Ztu2NJUnValWGYRx7fDab9arBDMNQtVrtav5Gly5d0v7+viYmJsbm+wCMo9+U/jSUeX9l/Xwo8wIAAByH30DjYWZmRnt7e0qlUkdW1U1MTCidTre12m5vb8/b1C4cDvesb3s/XLilkUtLS02N3TpNgo2jk5JM7cpms7Jt+9S+X+1IJpPe/WAweGp8jZV/juMMZNdLAAAAADhvnjx5oo8++ujE2/7+/rDDxAA4jiPTNLtuLdW42d6ot5i6cImw+tK+xvWtnd5wdqurqzIMQ0tLS12P1dhw37Ksts5p7Dc2yhloAAAAABiWWq2md+/enXjDeDAMo+3f2yepJ79c15Vt212P108XrkfY1NSULMvS9va2ksmkLMvSzMzMmcexbVtfffWV3rx50/sgL6hSqeR9+aenp2WapoLBoEKh0Jn7tB3OIC8sLLR1nmVZ3h8dFWEAAAAAcNTk5KSuXLly4jEkw8aDaZpeX+5uNG6Y14vVZv104RJhknTr1i35/X7dv3+/4zHm5uZ08+bNjpJo4+rwckjbtpVOp73KrnA4rJWVlbayzfl8vunxSTtLnnRcqVTqSXYbAAAAAC6Ke/fu6d69eyceU+8RhottcXFRz54962qMR48eqVQqeSvz2v39PiwXbmmkdNBPqldLG0/b1RAHbNs+krw6LJvNKhAItLUz5evXr5set5tRvnz5ctPjQqHQ1nkAAAAAAIyblZUVVatVff311x2f/+DBAy8J5vP5dOvWrR5H2VsXsiJsbm6uqdF6N/7z//w/78k4F51pmkqlUnIcR+VyWfl8/th1wel0WoVCQcVi8djxDp/baUVYtztXAgAAAABwURmGofv37ysej+v9+/d68OCBJicnTzynVqtpc3NTyWRStm17CbC6aDTa77C7ciETYZI0Ozvbk3H+zb/5N/qP/+P/uCdjXXSHv+yO4yidTmt1dfXImuNSqaRQKKRcLtdyrF411+vFWmcAAAAAAC6qZDKpUqmkhw8fKplMKhQKKRgMSpKKxaJmZmZUqVS8opfGxviSmpJgT58+PTWRNmwXcmlkL7G0rnOGYSgej6tarSqTyRxZ3pjP57W2ttby3E4TWIfnaNzCFQAAAAAAHJXL5bS8vCzXdZXL5ZRIJOTz+ZROpxWJRBSLxbS2tqZSqSTXdb0qsPqSSNd1lUqltLy8POxLOdWFrQg7bHd390zJFdu2vaV+6F44HFYwGNTi4mLTjpCrq6uKx+N9m7fXn9/+/r4++uijrsdppzklAAAAAACDkkqlFIvFlEgktLW1deT1euVXY/JLOujTnkqlerYyr98ubCJsd3dXyWTyxF5Vpzm8zhXdMQxDxWJRgUDAS4Y5jqN8Pu+VXTYe24skVj+2be3FNsK1Wq0HkQAAAAAA0DuWZSmXy2lnZ0f5fF65XE62bctxHFUqFc3MzMgwDJmmqVAopKWlJU1NTQ077DO5kImwlZUVb8ldr3aPRO+sr68rEAh4j3O53JFE2MzMTE8SYTMzM12PcdiVK1e6HmPU10wDAAAAAMbX7OyslpeXz8VSx7O6cImw58+feztGNq5XxeiwLEvBYFD5fF5S68b4nVZyHU6e9boibGJiQj/++GNPxwQAAAAAAINx4RJhq6urkv66ZtU0TVmWJdM0JUmXL18+dYz379/LcRxtbm5qb2+vr/GOq1Ao5CXCWpmfn2/qJeY4TltJrcPN8f1+f8cxAgAAAACAo3Z3d1UqlWQYhubn58/VqqcLlwgrlUpeX69cLqfFxcWOx4rH47p27VqvQkODemJSar18sXHppHRQNWZZ1qnjlsvlpseHl1wCAAAAAIDO7O7uKhKJNBWuSAe/4TOZjH72s58NKbL2TQw7gF6rVw3F4/GukmDSQbLmvOx6cN40JsJaVXrNz883PW53w4PGpZH1Bn4AAAAAAKC1Tz75RAsLC7p27ZquXbumy5cv69atW0eO297e9ja/q+8aWb8VCgX5/X798Y9/HMIVnM2FS4TVEx8LCws9GS+VSvVkHDQrFAre/VAodOR1y7KaEmSvX78+87iHk2kAAAAAAKCZYRgqFot6//69otGoCoWCNjY2mo7Z29vT4uKiqtWqJHkr8QzDUDAYlGma2t/fVyQSGXj8Z3XhEmH1KrDDvaK6HQ+91biE8bjli0tLS979w2WXx2k8LpFIdBgdAAAAAADjoVQqKZFIqFKp6P79+y1Xxi0vL8txHK8fu+u6SiaTqlQqevnypd6+fauXL19qf39fX3755RCuon0XLhH25ZdfynXdthMnp3n27FlPxkGzbDYr6WAJ63FisZh3/6TG+q2OMU2T/mAAAAAAAJzg0aNHsizL23iwlefPnyubzXpJMJ/Pp2Qyqfv37zcdFwwG9fDhQxWLxX6H3ZULlwibmprSw4cPtbGxob/85S9djzdOSyMb+2v1UzablW3bMgxDKysrxx5nWVZTMquePDtOJpPx7lMNBgAAAADAydLp9KkVXMvLy95SSJ/PJ8uyjiTB6m7dutXUsmgUXbhEmHRQZWRZVtdrU3d2dnpWWXYeHG5I325iLJ/Pa3p6Wj6fT6FQ6MT3zLZtLS8vS5K2trZaNspv1JiIPClD7TiO0um0pIMsdDQabSt2AAAAAADGVblc1vXr1499/e7du15uwHVdSdL6+vqxx09NTXnHjaqfDDuAfsnlcpqfn9e1a9eUSCQ0MzPT1nmVSkWO46hcLmtzc7PPUY4Ox3GOVFFtbGycuHSxLpPJeH8Y+XxegUBA0Wj0SDVdPp9XJBLRzMyMisViWzs6mqapTCbjbc+6trbWMqZ6LzfDMJoqwwAAAAAAQGumaWp3d1dXr1498tr29rZSqVTTkshoNHpi4mx7e3vkN67zuaOequvQq1evFI/HVSqVvBK+s6p/0B8+fOhxdKPBcRyv4d1JPbiCwaC3jNGyrCOv5/P5ljs/1nePmJmZUaFQUKlUUjwe18rKyqmVYK3miEQichxH4XBYKysrMk1ThUJBiURCpVJJlmW1VWXWiUuXLml/f18TExMX9vsAQPpN6U9DmfdX1s+HMi8AABhPT5480ZMnT0485t27d5LEb6AL7pNPPtH8/Ly++uqrpuf39vYUCARk27aXUzFNU99///2J4z1+/Fhzc3MjvfHghawIu3v3rrdMrp65PKtOk2fnSa+qp4LBoMrlspLJpPL5vFdVJ8lLUK2srHgJtU7nqFarWltb08bGhhYXF+U4jgzD0Pz8vDKZjMLhcNfXAgAAAAAXXa1W8xJdGG/RaFRLS0uSpAcPHkg6KERJJBJeEqxeJHRa/mB7e1urq6t6//593+PuxoWrCFtfX/d2G+w0CdboIleEoX1UhAHjgYowAAAwDqgIQ6NQKKRXr141PVdPftVzKqlUyuv33cqzZ8+8dkskwgZsfn7eWw7puq6CwaBCoZAMwzhzn7CnT59qd3eXP3qQCAPGBIkwAACAA/wGGh97e3u6ffu2nj9/fuQ1wzC0vr6umzdvHnntzZs32tjYUDablW3bXvIsm83qH/7hHwYRekcuXCJsYmJCPp9PhmGoUChodna247Ecx9Hly5f5owf/CABjgkQYAADAAX4DjZ+trS3lcjmVSiUZhqGFhQVFo1FNTU0dOXZ9ff3YpZKBQECrq6v9DrdjFy4RNjMzo729PSWTSX3xxRddjzc/P69CodCDyHCe8Y8AMB5IhAEAABzgNxAuqolhB9BrgUBA0sFuBr2wvr7ek3EAAAAAAAAwXBcuERaLxeS6rmzb7sl4c3NzPRkHAAAAAADgItvd3R12CKe6cImwcDisubk5bWxs9GS8Fy9e9GQcAAAAAACAiywSiQw7hFNduESYJGUyGRWLRX377bddjzXKDd4wePv7+/roo49OvJ22DTEAAAAAABdRr1bn9dNPhh1AP5imqadPn+r27dtdbdm5t7enUqnUw8hwEbx79+7E12u12oAiAQAAAABg+Gq1muLxuBzHGXYop7pwibD6Usa/+Zu/0fT0tK5du6ZwOHzmcRzH0ebmZq/DwwVw5cqVE1+fnJwcUCQAAAAAALS2s7OjpaUl2batWCymr7766sgx8/Pz2tnZ6WqeevLLdV35fL6uxhoEn+u67rCD6KX5+Xltb297j7v5IOrnslUs2DoYGA+/Kf1pKPP+yvr5UOYFAAA4Dr+Bzr/5+XlvlZvP51Mmk9Evf/nLpmNisZjW19d7Nud5yKFcuB5hS0tLcl1X9fzeechGAgAAAAAA9FKpVGrKibTq33Xnzh1JB7mTxlu7Ojln2C5cRdje3p6mp6fl8/nUi0s7D9lM9B//NQQYD1SEAQAAHOA30PnXWO3l8/lULpd19erVI8fNzMxob29PruvKMAzNzMzIMIy25nAcR5VKxVseeR5yKBeuR9jU1JQsy9L29raSyaQsy9LMzMyZx7FtW1999ZXevHnT+yABAAAAAAD6KJVKKRQKqVAoKBaLtUyCSdLy8rIeP36sUqmk69evdzxfIpHQ48ePOz5/UC5cRZgkPXr0SIVCQRsbG12PNTMzo0ql0oOocJ7xX0OA8UBFGAAAwAF+A42P7e1tLS0t6fvvv+96rPOQQ7lwPcIkKRgM9mRZpHTQXA4AAAAAAOAimpub09TUVE/GMk2zJ+P004VMhM3NzSmZTPZkrF6NAwAAAAAAMIq2trZ6Mk4vd6DslwuZCJOk2dnZnowzNzfXk3EAAAAAAABGUa8qws7D7pHnLhE2Ss3rRykWAAAAAADa8eTJE3300Ucn3vb394cdJs6h5eXlYYdwqnO3a2QgEFC1WtXk5ORQ49jb21MgEKBpIAAAAADgXKnVanr37t2ww8AFZNv2sEM41blLhI3SJpejFAsAAAAAAO2YnJzUlStXTjyGRBnaVavVVKlUFI/H5TjOsMM51blLhI3SetNRigUAAAAAgHbcu3dP9+7dO/GYS5cusTzyHNvb29PMzMxA53Rd91zkSc5djzCqsAAAAAAAAI43NTWl69evy3Xdgd3Oi3OXCJOknZ2dYYegQqEw7BAAAAAAAABa+uyzzyQdrGbrd6XWeagEqzt3SyOlg10IHjx4IMMwBl7qV6lUZNu24vH4QOcFAAAAAOC8W1tbUy6XU6FQkOM4Mk1TlmUpFospGAyeu7mHcT2lUkm2bcu2bVmWdew89edd15VpmjJNU4Zh9Dwex3G8eM4Dn3ue6tckTUxMjESmsb72lV0jx0N9ffzExASfOXCB/ab0p2GH0JFfWT8fdggAAOCC6fVvoHw+r0gkIsdxFAwGlUgkZJqmSqWSEomEbNtWMBhUJpPpebKmH3MP8nocx1E6ndbGxoZKpZIMw1A0GlUoFNL8/PyJ48/MzCgUCmljY6OrGNqRTqd19+7dkf/NfK4TYcMK3efzkQgbMyTCgPFAIgwAAOBAL38D5fN5hUIhSVI0GlUqlTpyTCAQUKlUkmmaKhaLPUuG9WPuQV2P4zhKJBJKp9OSJMuylEwmz1RptrS0pE8++US3b98+8/ydmJmZUaVSGchcnTqXPcKG3YjtnOUOAQAAAAAYCsdxFIlEJEmmabZMGklSJpORJNm27R0/inMP6nrS6bRmZ2e9JFgqlVKxWDzzcst6wm5Q5ufnBzpfJ85dj7BqtTrsEAAAAAAAQBvqywclKZFIHHucaZoKh8PKZrPK5/NKp9OKRqMjN/cgrieRSGhtbc0bJ5fLyTTNts49bHl5WXt7ex2d24mXL18ObK5OnbulkcAw1MuCJenKlSsnHnvv3j3du3dvEGEB6DGWRgIAABzoxdJI27bl9/u9x9Vq9cQlgtls1queMgyjq0KYfsw9iOuJRCLKZrPeOTs7O31pcN9re3t7evjwoVZXV4cdyqnO5dJIYJjevXt34q1Wqw07RAAAAAAYumQy6d0PBoOnJnTC4bB333EcLyE0KnP3+3pCoVDTMb3sldZvU1NTyuVy+vu///thh3IqEmHAGV25cuXE2+Tk5LBDBAAAAIChq/e3kg4avbejcQlgNzsd9mPufl5POp1WPp/3HqdSqY6XQw7L/Py8isWivvzyy2GHcqJz1yMMGKaJiQn9+OOPww4DAAAAAEZaqVRqerywsNDWeZZlybZtSeq4Iqwfc/fzemzbViwWazqn2/5o3djd3ZXjOGfa/bFUKimTych1XaVSKX311Vd9jLA7JMIAAAAAAEBPNVY3SWq7uunwcaVSqe3qq37O3c/rObyr5MrKSltj99KLFy+USqWOXGcn6psJjCqWRgIAAAAAgJ56/fp10+N2e11dvny56XGhUBiJuft1PbZtN1WbGYbR1FtsEB49eqRIJKJ8Pi/XdTu+SZLP5ztz4nLQSIQBAAAAAICeqi8HrOu0gqpcLo/E3P26nlQq1fQ4GAxK+uuOk36/Xz6fT9PT0woEAlpbW+tpxdX29rYSiYQkecmsRj6fr61xfD6fXNfV7Oys1tfXexZfP7A0EgAAAAAA9NThxFGnOkn69GPufl1PYwN+SZqZmVEgEDjSk8xxHJVKJZVKJSUSCWUymZ5UjtUTcVNTU4pGo/L7/V7yrlqtamlpSdPT09rc3Dz2el6+fKlnz56pVCrp+vXrXcfUbyTCAAAXym9Kfxp2CAAAAGOv06qlw0sOz9KwvZ9z92NM27aPjLu5ualkMqmlpSXvXNu2lUwmm5JmkUikJ8mwfD4vv9+v77//vuXry8vLevbsmfx+v65evdrymJs3b0qSHjx4oN///vddxTMIJMIAAAAAALggnjx5oidPnnQ9zv7+fg+i6d4wG6/3Y+6TqswMw9DOzs6R5JlpmkqlUgoEAk27Sy4vLysYDLbdr6wV27ZPbJD/4MEDra+va21tTb/97W+PPS6RSOjjjz/W119/rV//+tcdxzMI9AgDAAAAAOCCqNVqevfuXde3bnWTnOl2nH7M3Y8xDyfCotHoifNEo1FFo1HvseM4Wl1d7Tqm+fn5Y1+bnZ3V4uKiUqmUarXasceZpqm5uTnF4/ETjxsFJMIAAAAAALggJicndeXKla5v3ZqZmenB1XQ2Tj/m7seYhxvnLywsnHp+vbF93draWlfxWJZ16vLTRCIh13X14MGDE49bWFiQ67p6+PBhVzH1G4kwAAAAAAAuiHv37unHH3/s+jYx0V26oNMKqsPLEQdZEXbS3P0Ys5NrNU1TlmU1PXe4sf5ZmKZ5pGH/YcFgUHNzc0qlUvruu++OPa5QKEiSMplMx/EMAokwAAAAAADQU4eX27Xbb+twdZLf7x+JufsxZifX1iqWbna0XFpaUjKZ1Ndff63d3V29evVKr169OnLcysqKXNeVZVn69ttvj7z+6NEjLyHXqx02+4Vm+QAAAAAAoKcCgUDTY9u2j1QytXJ4uWAwGByJufsx5uEKsHaTa4cTaJ3srFkXDoc1OTmpeDyueDzuPR8IBPTnP/+56bjFxUVtbW0pHA7LsiwvIZfP55uSX6ZpdhzPIIxlRdju7u6wQwAAAAAA4MLqtGqpMRlkGEZHSZV+zD1KYx5OoHXbv2x9fV2u60qSXNeV67oqFot68+ZN03GpVMq7XyqVlE6nlU6nVS6XvfN9Pl9bCcJhGptE2O7urh4/fqxr167J7/fr0qVL+sd//MeWJX8AAAAAAKBzlmU1JWxev37d1nn1PlPSybsZDnrufo3Z6HD1WLu6rcAKh8Pa3Nz0klnSQbLt+vXrR+Z5+fJl03HSQfLL5/N5562vr3cVT79d6ERYrVbTs2fPtLCwIL/fr0Qi4WUqXddVKpVSKBTS5cuX9eWXX1IpBgAAAABAjywtLXn3223o3njc4R0Shz13P8ZsXCqZz+fbGvPwEspeVGCFw2FVq1WlUiklk8ljq9OCwaDevn2rGzdueLmV+s2yLBUKBU1OTnYdTz/53MOpvAvgxYsXSqVSTV8i13Xl8/maMpeNj+vZS9M0defOHS0vL4/8h4fBuXTpkvb39zUxMaEPHz4MOxwAJ/hN6U/DDmHgfmX9fNghAACAC6YXv4FKpVJTb63T0g/5fF6hUEjSwW/zTiuk+jV3P8ZsPEaSqtXqqbtHxmIxb6fHYDCoXC534vH9sre351W8maap2dnZocRxVhemIuzVq1e6e/euLl26pEgkonw+37TGtf6/lmUpmUwqHA4f+dK6rqtyuax4PK7p6WktLCzom2++Ua1WG/j1AAAAAABwnlmW1VTxlM1mTzw+k8l490+rBkun00okEsdWLvVj7n6MGQwGm5Y2rq6unjim1Fw5lkwmTz2+X6amprS4uKjFxUUvCXYeVtqd64qwN2/eaGNjQ+l02isNbFX5ZVmWbt26pWg0qqmpqaYxnj9/ro2NjaYvcP38epWYdFAmeOvWLf3yl7/s70VhJFERBpwfVIQBAAB0r1e/gWzb9nY5tCxLxWKx5XGO42h6elrS6VVOoVCoKRl0XBVVP+bux5iHK83K5fKxfb8aK8ii0WhTA/tR8Omnn+oPf/jDsMM40bmrCKvVal7T+0AgoLW1NVWrVUnNlV/BYFCpVErValWFQkH3798/kgSTpJs3b2pzc1P7+/vK5XJNybLGta7ZbFaRSMRrsn949wQAAAAAANDMNE2vMqpUKmltba3lcYuLi5IOmq03VlK1criX1ubm5sDm7seYlmU1JbRCodCRPmDSQXItFou1PGdUNG4OMKrORUVYrVbT5uamUqlUU6O5w6EHg0FFIhEtLS21THqdxdbWljKZjDY3N498ARt3Q4jFYopGo7p69WpX82G01f9riCRduXLlxGPv3bune/fuDSIsAC1QEQYAANC9Xq+KyefzikQichxH4XBYKysrMk1ThUJBiURCpVJJlmVpa2vr1B5Z09PTTb/Tc7lc05LFfs49qDENw9DKyop3Xfl8Xqurq3IcZyCVYLu7uy2Tccexbdvr1T7qq6hGOhH24sWLI8sWD4dbX7J48+bNvsWxvb3txXF4/TFN9sdDYyLsNP/Ff/Ff6L/8L//L/gYE4FgkwgAAALrXr/Ywa2tr2tjYkG3bXsJnfn5esVhM4XC4rTHy+bxisZgqlYqi0WjbfbJ6Mfcgxkyn08pkMioUCt6YpmkqGAwqFosdu2yyG7u7u0omk8rn88f2XTtNvcUUibAzevXqlTKZjLcDgjSc5NdxjkuKNfYTa6xMIyl2MVARBpwfJMIAAAC6R5/k8bGysuIt8ew2RUQirE27u7tKpVJHmt7XGYahpaUlRSIRb53tKNjZ2VE2m9XGxkbTkk2a7F88/CMAnB8kwgAAALrHb6Dx8Pz5c0UiEUl/zWV0kyYiEXaCWq2mdDqtVCrlVVadh+TXcU5LihmG4e1cef369SFFiU7xjwBwfpAIAwAA6B6/gcbD/Py8SqWSfD6fXNeVaZqyLMtbfnn58uVTx3j//r0cx9Hm5qb29vZG/vsylETY+vq67ty5I6k5+WWapldBNTc3N+iwemZvb0+bm5vKZDJNu1nUk2KBQEB//vOfhxUeOsA/AsD5QSIMAACge/wGGg8TExNeruLly5ddFSLZtq1r166N/PflJ8OY1HEcLwF2UZJfjaamprS8vKzl5eWWSbFqtTrkCAEAAAAAwLgzDEN7e3uKx+Ndr8YzTVOzs7M9iqx/hpIIM01TyWRS4XD4XLxJ3TicFMvn83r9+vWwwwIAAAAAjKknT57oyZMnJx5T3ywMF5tpmtre3tbCwkJPxkulUj0Zp5+Gkggbxm6Po2Bqako3b94c2+sHAAAAAAxfrVbTu3fvhh0GRsDi4qK2t7dVqVR6Nt6omxh2AAAAAAAAYHAmJyd15cqVE28YD19++aVc123a9K8bz54968k4/TS0XSOB84RGkcD5QbN8AACA7vEbaHysra0pmUxqd3dXP/3pT7saa2FhYeTbQVERdgZ7e3taWVk50zm1Wk1v3rzpT0AAAAAAAABdiMfjsixLkUikq3F2dnZ6VlnWT1SEncH29rbm5+fbzoY/evRIDx48kGVZkqRgMKjV1dV+hog+4b+GAOcHFWEAAADd4zfQ+Jmfn9fe3p4SiYRmZmbaOqdSqchxHJXLZW1ubspxnJH/vgylWX4v1Wo1TU5ODnTOH374QZlMRu/fv9fCwoKCweCRGLa3t5VIJBQIBLyywPX1dd26dUsbGxsDjRcAAAAAAOA4r169kiSVy2XFYrGOxnBdVz6fr5dh9cW5T4QtLy8PLLGUz+fluq5M02x63u/3K5fL6Wc/+5n3XD2mYDDYFGsmk9F3332nv/u7vxtIzAAAAAAAAMe5e/eu0um0JMnn86mThYPnIQFWN5REWK1W63qMSqWiXC6nbDbbg4hOV6/wOvylME1Tb9++VSgU0r/8y794z5dKJfl8Pl2+fLlpnEgkotu3b4988zgAAAAAAHCxra+vK5VKSeo8CSap4/OGYSiJsBs3bmh7e7tn43377bf6h3/4h56N10r9i+G6rqLRqBKJhGZnZ73Xl5aW9OzZM92+fVvSQaJOkgzDaBonGAwqFovpzZs3un79el9jBgAAAAAAOM7hJFgwGFQoFJJhGGfuE/b06VPt7u72MdreGEoiLBqN6s6dOz0b7+nTp31PhBUKBVmWpUwm05QAq1tfX1c0GvUSYcepf5Hy+TyJMAAAAAAAMDT11WyGYahQKLTMd7RreXn5yKq4UTSURNitW7d0584dhcNhLSwsHHl9dXVVMzMzCofDJ76Jq6urunXr1pGeXf2ws7OjnZ2dExvzl8tl777jOJJ0JIM6NTUlSSyNBAAAAAAAQ2UYhvb29rSystJVEqw+1tzcXI8i65+hJMKmpqZkWZY2NzePvPb8+XPNz8/r5cuXp45z8+ZNLSwsaGdnpx9hNpmenj6x+dv6+rr8fr/3+LilkXt7e5L+migDAAAAAAAYhkAgoFevXvWswGh9fb0n4/TTxLAmXllZafn8w4cPvd0KTmOapgKBgB48eNDL0Fq6efOmwuGwfvjhhyOvPX78WIlEQqVSyXuunug6/GWybVvS0QQZAAAAAADAIMViMbmu6+UqunUeKsKGlgi7efNmy+dt29bVq1fbHscwDG1sbPQoquMlk0m9fftWpmnq2rVr+vTTT3Xt2jVdunRJiURC0kES7+7du3rx4oV3Xr0CrC6VSsnn87XddA4AAAAAAKAfwuGw5ubmepZXacyHjCqfO2J7XM7MzGh3d/fEXlyHj9/b29OHDx/6HNlBki4SibTc8TKdTuv27dvKZrNaWlqSz+fT4uKiJOnTTz/V8vKy8vm8wuGwfD6fcrmcbty40feY0RuXLl3S/v6+JOnKlSsnHnvv3j3du3dvEGEBaOE3pT8NO4SB+5X182GHAAAALpj6b6CJiYmB/N7G8Ni2rY8//ljPnz/veiPChYWFke+JPpQeYScJBoN6+PChvvrqq1OPffTokRzHUSAQGEBkB8sci8WistmsNjc3VSqVZJqmYrGYV+EWDoe1ubmpzc1NPXv2TPv7+5qfn1c8Hm8ahyTY+fXu3bsTX6/VagOKBAAAAACA7pimqadPn+r27dtdJcL29vaaWkaNqpFLhD148EDz8/Pe/VaVYbVaTYlEQul0Wj6fzzt+UMLhsMLhcNuvFwoFRSIRbW1tyTTNtjYCwOg6rSKs3WpGAAAAAACGqb6U8W/+5m80PT2ta9eunZjvOI7jOC03RBxFI7c0UjpYZnjnzh35fD4Fg0GZpinDMGTbtmzb9jKMrutqenpaOzs75yL5sLe3p6mpqWGHgQ5QFgycH+O4NLIbLKsEAACt8BtoPMzPzze1f3JdVz6fr6Ox6ueO+vdl5CrCJCkajUqS7ty5o1wud+RDqOfuDMPQ5ubmyCXB9vb29PDhQ62urjY9TxIMAAAAAACMiqWlJa/YyOfzdZwEO0+GtmvkaaLRqKrVqpaXlzU1NSXXdb2baZqKRqPa2dnxGtKPkqmpKWUyGX399dfDDgUAAAAAgCZPnjzRRx99dOKtvlkYLrZYLCbpIAnWmHfp5HZejGRFWN3U1JRSqZRSqZT29vZUqVQ0Ozs71JhqtZoKhYIcx1GlUml5TLlclm3bevr0qX79618POEIAAAAAAI5Xq9VO3QQM42FqakqWZWl7e1vJZFKWZWlmZubM49i2ra+++kpv3rzpfZA9NtKJsEZTU1NDX1q4srKitbW1to8/LlEGAAAAAMCwTE5OnroJGImy8XHr1i35/X7dv3+/4zHm5uZ08+bNjpJogzaySyMl6c2bN3r8+HHTc9vb2/r000/13XffDTSW58+fK5lMnqkkMJlMDjTGXrFtW6FQSNlstqtx1tbWFAqFND09LZ/PJ7/fr0gkonw+P1JjAgAAAMA4uXfvnn788ccTbxMTI50uQA8Fg8GeLW2cn5/vyTj9NJLf7L29PS0sLCgQCCiRSDS9Njc3p42NDd28eVNffvnlwGJKpVIKBoMqFosql8uqVqtKJpOqVqverVwuq1AoyLIs2bat27dvDyy+XnAcR5FIRH6/X/l8vuOKtnw+r+npae+zy2QyKpfLSiaTKpVKCoVCCoVCchxnqGMCAAAAADDu5ubmelbIcx4KgkZyaeTi4qK2t7eP3bbTMAwVCgWZpinHcfTb3/627zHZtq23b98eiaNxuebU1JRmZ2eVTqcViUT0+vXrvsfVC47jaHV19UzLPo+Tz+cVCoUkHWx4kEqlvNdM01Q4HFYgEFA+n1cgEFCxWJRhGAMfEwAAAACAcVer1ZRIJGTbtj755JOu+5zPzc31KLL+GbmKsEePHqlUKsl1XVmWdexxhmHowYMHSqVSA1kmaZrmkeeWlpb07NmzI89blqVyuaxvvvmm73F1a21tTYFAwNsutRv1ijLp4P1qTFg1ymQykg6Si/XjBzkmAAAAAACQwuGw0um0crmc4vG4Xrx4MeyQ+m7kEmG5XE6macq2bRUKhROPDYVCcl1Xq6urfY+rWq0eeW5qakqFQkG1Wu3IazMzM3r48GHf4+pGqVRSMBhUuVxWLpc7NsnUrkgk4i1NPLyktVG9iks6qPZKp9MDHRMAAAAAAOhIv+1xWF01comwQqGgdDqtq1evnnps/QMqFov9DUpSIBDQrVu39OLFi6YMaTQaVSAQ0A8//OA99/jxY9m2Ldu2+x5XNyzLaqq666apnW3bTX9AS0tLJx5/69Yt7/5xCa5+jAkAAAAAAA7UV7/5fD6Fw2HduHFjyBH138glwmZmZlouQ2ylvpxvEAmnRCKhTCajSCSiSCTi7WZpWZauXr0q0zR1+fJlXbp0yUvCtHsdo6KbzG9jQ7xgMHjqWPXqLelg+WOrHSr7MSYAAAAAADgQjUa9HSM3Nja6Hu/u3btdj9FvI5cIsyyr7Z3/EomEfD7fib3EemV2dlabm5tyXVeu6zYlZTKZjCYnJ1WtVr3X6/GNi8aliO1+Ho2JwlZ/cP0YEwAAAAAAHIjH41pcXJSkppVunTq81HIUjVwiLBaLndrzq1ar6dNPP/UqwbpZ0ncW4XBY+/v7KpfLun37tve8YRja3d3V8vKyLMtSMBhUJpNpOuYiO9xof2Fhoa3zGpNbh6u3+jEmAAAAAABolsvl9Mtf/lLhcFh/+ctfOh5nZ2dn5FtESSOYCFtcXFS1WtVnn32mN2/eeM/XajW9evVKd+/e1fT0tJdlNAyjaQndIMzOzh55bmpqSqlUSoVCQS9fvtTNmzcHGtMwHc74trsk9PBxjcmvfowJAAAAAACO+uabbxSNRmVZlr755puWmwK2UqvVvHxNJBLpc5S98ZNhB9DK5uamAoGAAoGAJOnSpUtNr9eXHhqGoc3NTU1OTg48RvzV69evmx6322vs8uXLTY8LhYJX0dWPMQEAAAAAwF99/PHH2tnZ8R67rqtoNKpoNHrmsVzXlc/n62V4fTFyFWHSQdKjXC7riy++0NTUlNd3q7E/Vzwe187OjreWtRfqDfBHdbxRdbj0sdPqrXK53NcxAQAAAADAX9Wb5ddvPp/vSA6m3dt5MZKJsFevXqlWqymZTKpSqaharapYLKpcLmt/f1+VSkUPHz7U1NRUT+ftdXP1cWnW3qs1wI2bJPRjTAAAAAAA8FexWEyS5PP5vCRYJ85DJVjdyC2N/PTTT5XP5+X3+/Uv//Ivkg76b83NzfV97mKxqK+//lrLy8tdLbes1Wra2NgYm/5UnSabDi93rFQqfR0TAAAAAAD81dTUlG7evKnnz59LkoLBYNutiRrZtn1uciAjlwjL5XLy+Xw9r/ZqVzweVzweH8rc464f1Vu9HnN/f18fffRR1+Pcu3dP9+7d60FEAAAAAAB0LhaL6cWLFyoWi7p+/XrH46TTad29e7d3gfXJyCXCFhcX9erVK2UymbbPefXqlW7cuNGzGHq1tvU8lQZ2wzCMniScGrPO/RizV969e9f1GO3uwAEAAAAAQD8Fg0FNTU11lQSTDvqN3blzpzdB9dHIJcIymYzm5+e1t7d3pnN6mQjrZl3sOJqZmelJ0mpmZqavY/bKlStXuh6DnU4BAAAAAKNiZWVFtVqt69+qnew2OWgjlwgzDEPFYtHLJP7iF7848fjt7W1tbm7qd7/7XddzN66LDYVCSiQSCgQCZxqjUqnIcRz923/7b8dm18hOq64OJ7oOV4T1esxemJiY0I8//tjTMQEAAABgkJ48eaInT56ceMz+/v6AosEouH//fk/Gefr0aU/G6aeRS4R9/PHH2tnZkSRls9mBzp3JZLS3t6evvvpK6+vrCoVCXkLstIRcXb232dzcnJdUu+jm5+ebmuI5jtNWAupwI3u/39/XMQEAAAAAB61aetHyBRdXrVZTPp9XLpdTpVKRbduamZmRaZry+/0Kh8O6evXqsMPsyMSwAzgsGo16yxJd123r1ktTU1NKJpOqVCra2NjQv/t3/06Li4u6du2avvnmmzONFQwGexrbqDpcNWfbdlvnlcvlpseN71c/xgQAAAAAHLRquXLlyok3jKfd3V3dunVL09PTikQiSqfTymazKhaLyufzSqfTSiQS8vv9HeVJRsHIVYTFYjE9ePBAU1NTbSUxSqWSV0HWa+FwWOFwWKVSSaurq1peXlY8HvdiPG3t7HkoCeyF+fn5pse2bcuyrFPPa1zGaBiGTNPs65gAAAAAgPZ2sb906RLLI8fM+vq61+y+sejI5/Md2QzQdV2Vy2VFo1GlUillMhn97Gc/G2i8nRq5RNjU1JQsy1I2m227zO7jjz/ua0yWZXnLJlOplB4+fKhkMqlIJKKVlRX93d/9XV/nH3WWZTXt8vj69WuFw+FTzysUCt79w4mvfowJAAAAAACOevTokR48eCDXdZsSX6etxHNdV4VCQX6/X8Vi8VzkR0ZuaaR0UBV2lt3+YrFYH6P5q6mpKcXjcW/Z5Nu3b2VZlhYWFvTtt98OJIZRtbS05N1v7O11ksbjEonEQMYEAAAAAAB/9fz5c+/3s8/n85Jfc3NzikajSiaTSqVSyuVyKhaLymQySqVSisfj3iqs/f19LS4uand3d4hX0h6f2+smWz326tUr2batcrmsy5cvy7Is3bhxY9hheerLJp8/f67p6Wl9+eWXWl5e7nrL0WGwbbupuXwqlWp769NSqdTU1+u0r1U+n1coFJIkmaZ5pLdXv8bsVL0seGJiQh8+fOjZuAB67zelPw07hHPlV9bPhx0CAAAYQfwGGh/1TQtd15VhGEomk1paWvI2AzzN9va2vvrqKz1//lyffPKJfv/73/c54u6MZEWYJD1+/FiXL19WKBRSLBbT2tqaEomEQqGQ/uZv/mZkGrJZlqVnz54pGo2qWq0qHo9renpa//iP/3guMqGNGvtrnZVlWU093U7b8TOTyXj3j6vc6seYAAAAAADgwPPnz2XbtlzXVSwWU6VS0fLycttJMEmam5tTJpPRw4cPlcvl9Mc//rGPEXdvJBNhS0tLSiQSchyn5S6RlUpF0WhUf//3f69arTa0OHd3d3X37l3NzMxofX29aQ3t06dPB7Zks1cO78x41sRYKpXy7q+urh57nOM4SqfTkg52dTyp6qwfYwIAAAAAAGljY0M+n09ra2v63e9+19VY8Xhci4uL2tzc7FF0/TFyibD19XWv8sd1XQWDQWUyGRWLRZXLZW896o0bN1QoFJr6SA3Kmzdv9Omnn8rv9yudTntL9uqJumg0qnK5rD/84Q8Dj61TjuMcqaLa2Ng40ximaXpVWaVSSWtray2PW1xclHSwq2NjFdegxgQAAAAAAAe/sy3L0hdffNGT8WKxmPL5fE/G6peRS4TVkxiGYahcLuvly5e6efOm5ubmNDs7q7m5Od28eVO5XE6FQkEvX74c2DLJFy9eaGFhQYFAQPl8vmn3hHoj/Wq1qqdPn2p2dnYgMXXDcRxFIhGFQiFNT08fqQgrlUry+XwKhUKKRCJtNawPh8PK5XIyDEOJRMI7z3Ec5fN5BQIB7w9tZ2dHhmEMZUwAAAAAAMadbds9Xc1mGMaR3MKoGblm+RMTE/L5fMrlcm01xc9ms0omk3r9+nVf4qnVakqn01pdXfWWCja+ZaZpKpFIaHl5uS/zn2dra2va2NiQbdtyHEeGYWh+fl6xWEzhcHhkxmwHjSKB84Nm+WdDs3wAANAKv4HGw8TEhPL5fM82JVxfX9edO3dG+jszcomwmZkZ7e3ttf2m7e3taWZmpudv8u7urpLJpNd3ynVdbxtR6aAPVSKR8Jbk4WLjHwHg/CARdjYkwgAAQCv8BhoPH3/8sR48eKDbt2/3ZLz5+Xnt7e3p+++/78l4/TBySyMjkciZzzlpN4PHjx+faaw3b97o1q1bR/p/SWrq//Xy5ctTk2DPnj0709wAAAAAAACDYllWz/psP3jwwGtbNMpGLhGWTCY1NTXV9nabm5ubmp+fb/na3t6ecrlc23PX+39ls9me9P9q3PEQAAAAAABglCwtLSmXy+nLL7/seIxaraZbt25pbW1NPp+vpz3H+mHkEmGGYWhra0vxeFx/+ctfTjx2Z2dHa2tr3vLFw1ZXV880d7FY9BJgPp/PqwqrVCp6+PDhiZVnh62vr7fVXB4AAAAAAGAYwuGwZmdnlUwm9Y//+I/a3d1t+9xXr17p1q1bmp6eVjablc/nk2VZPes31i8j1yPs448/VrVa9RrTn7QD4EnH1F8LBoP6wx/+0Nbc9Ub99URYMBg8Q+QHKpWK18hdEmupLwjWxwPnBz3CzoYeYQAAoBV+A42PfD6vTz75RD6fT9JBHsWyLPn9fpmmKekgx1KpVFQsFlUoFJoKf+ppJZ/Pp2KxqOvXrw/8Gs7iJ8MO4LCbN2/q0aNHXkKqWq2ees5xx9Q/xLNwXVfBYFCGYWhmZuZM51YqFbmuq9nZWZVKpY7mBwAAAAAAGJRgMKinT5/qzp078vl8yufzyufzxx7fWE/l8/m8/M3m5ubIJ8GkEUyE3blzR48ePdLc3JxmZmZOrAg7Tr0a66QP7qRzJycnz3zeYfl8Xp9++mnX42C07O/v66OPPjrxmHv37unevXsDiggAAAAAgO5Eo1HNzMwoGo3KcRyvsKfVIsLGoh/Xdb0WV3NzcwOLtxsjlwibnZ1VPB7Xw4cPux4rm81qfX297eODwWBPkmD1sc7LlwBn8+7duxNfr9VqA4oEAAAAAIDeCIfDCoVC+uqrr/To0aNjj6snxwzD0MrKiu7fvz+oEHti5BJhkrSystKTccLhsDY3N9s+vtc7G4z6TgnozJUrV058vVfJVAAAAAAABmlqakrJZFLJZFJbW1sqlUoql8uqVCqSpJmZGfn9/nNd/DNyzfJ75fHjx+ditwKcDzSKBM4PmuWfDc3yAQAYP0+ePNGTJ09OPKa+EobfQLhoJoYdQL/8+c9/VigU0jfffNPVOOvr67p06ZL+9m//Vt99912PogMAAAAAYDhqtZrevXt34g3oxIsXL4YdwqlGcmlkr7iuq2g0qnK5rK+++qqjMRKJhFzX1du3b2VZlsrlsq5evdrbQAEAAAAAGJDJyclTW76QDEMnEomEfvnLXw47jBNd6ERY3cuXL1Uul7WxsXHmc2dnZ7W3t6dgMCjp4EPtZBwAAAAAAEZBOzvd19vDAO16/vy5bNsedhinGotEWKFQUCQS0cLCgl69eqWf/vSnbZ9bLBabHl+7dq3X4QEAAAAAAAzVmzdvlM/nVS6Xz5TQqlQqchznXCTBpDFJhElSJpPR2tqaLMtSPp/Xz372szOPsbOz4+2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      "text/plain": [
       "<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=y_test - y_pred_test,\n",
    "    x_bins=bins,\n",
    "    fit_reg=None,\n",
    "    x_estimator=np.mean,\n",
    "    label=\"bla\",\n",
    ")\n",
    "ax.set_ylim(-150, 175)\n",
    "ax2 = ax.twinx()\n",
    "ax2.hist(\n",
    "    y_test,\n",
    "    bins=50,\n",
    "    range=[5150, 5700],\n",
    "    color=\"#2A9D8F\",\n",
    "    alpha=0.5,\n",
    "    align=\"mid\",\n",
    "    density=True,\n",
    ")\n",
    "ax.set_xlabel(r\"$z_{\\mathrm{Mag}}$ [mm]\")\n",
    "ax.set_ylabel(\n",
    "    r\"$\\left\\langle z_{\\mathrm{Mag}}-z_{\\mathrm{Mag}}^{\\mathrm{pred}}\\right\\rangle$ [mm]\"\n",
    ")\n",
    "ax2.set_ylabel(\"Number of Tracks (normalised)\")\n",
    "mplhep.lhcb.text(\"Simulation\", loc=0)\n",
    "# plt.show()\n",
    "plt.savefig(\n",
    "    \"/work/cetin/LHCb/reco_tuner/parameterisations/plots/magnet_kink_regression_plot.pdf\",\n",
    "    format=\"PDF\",\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x900 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "bins = np.linspace(5150, 5700, 50)\n",
    "ax = sns.regplot(\n",
    "    x=ak.to_numpy(sel_array[\"z_mag_xEndT\"]),\n",
    "    y=ak.to_numpy(sel_array[\"z_mag_xEndT\"]) - ak.to_numpy(sel_array[\"match_zmag\"]),\n",
    "    x_bins=bins,\n",
    "    fit_reg=None,\n",
    "    x_estimator=np.mean,\n",
    "    label=\"bla\",\n",
    ")\n",
    "ax.set_ylim(-150, 175)\n",
    "ax2 = ax.twinx()\n",
    "ax2.hist(\n",
    "    ak.to_numpy(sel_array[\"z_mag_xEndT\"]),\n",
    "    bins=50,\n",
    "    range=[5150, 5700],\n",
    "    color=\"#2A9D8F\",\n",
    "    alpha=0.5,\n",
    "    align=\"mid\",\n",
    "    density=True,\n",
    ")\n",
    "ax.set_xlabel(r\"$z_{\\mathrm{Mag}}$ [mm]\")\n",
    "ax.set_ylabel(\n",
    "    r\"$\\left\\langle z_{\\mathrm{Mag}}-z_{\\mathrm{Mag}}^{\\mathrm{old}}\\right\\rangle$ [mm]\"\n",
    ")\n",
    "ax2.set_ylabel(\"Number of Tracks (normalised)\")\n",
    "mplhep.lhcb.text(\"Simulation\", loc=0)\n",
    "# plt.show()\n",
    "plt.savefig(\n",
    "    \"/work/cetin/LHCb/reco_tuner/parameterisations/plots/magnet_kink_old_regression_plot.pdf\",\n",
    "    format=\"PDF\",\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "plt.hist(\n",
    "    ak.to_numpy(sel_array[\"z_mag_xEndT\"]),\n",
    "    bins=50,\n",
    "    range=[5150, 5700],\n",
    "    color=\"#2A9D8F\",\n",
    "    alpha=0.5,\n",
    "    align=\"mid\",\n",
    "    density=True,\n",
    "    label=\"True\",\n",
    ")\n",
    "plt.hist(\n",
    "    ak.to_numpy(sel_array[\"z_mag_xEndT\"]),\n",
    "    bins=50,\n",
    "    range=[5150, 5700],\n",
    "    color=\"#2A9D8F\",\n",
    "    alpha=0.5,\n",
    "    align=\"mid\",\n",
    "    density=True,\n",
    "    label=\"True\",\n",
    ")\n",
    "plt.xlabel(r\"$z_{\\mathrm{Mag}}$ [mm]\")\n",
    "plt.ylabel(\"Number of Tracks (normalised)\")\n",
    "mplhep.lhcb.text(\"Simulation\", loc=0)\n",
    "# plt.show()\n",
    "plt.savefig(\n",
    "    \"/work/cetin/LHCb/reco_tuner/parameterisations/plots/magnet_kink_old_new.pdf\",\n",
    "    format=\"PDF\",\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 330,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x900 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "xlim = 1\n",
    "bins = np.linspace(-xlim, xlim, 50)\n",
    "ax = 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",
    "ax2 = ax.twinx()\n",
    "ax2.hist(\n",
    "    ak.to_numpy(sel_array[\"dSlope_xEndT\"]),\n",
    "    bins=bins,\n",
    "    color=\"#FB8F67\",\n",
    "    alpha=0.5,\n",
    "    align=\"mid\",\n",
    "    density=True,\n",
    "    range=[-xlim, xlim],\n",
    ")\n",
    "ax.set_xlabel(r\"$\\Delta t_x$\")\n",
    "ax.set_ylabel(r\"$\\left\\langle z_{\\mathrm{Mag}}\\right\\rangle$ [mm]\")\n",
    "ax2.set_ylabel(f\"Number of Tracks (normalised)\", labelpad=15.0)\n",
    "mplhep.lhcb.text(\"Simulation\", loc=0)\n",
    "# plt.show()\n",
    "plt.savefig(\n",
    "    \"/work/cetin/LHCb/reco_tuner/parameterisations/plots/magnet_kink_zmag_deltatx_dist.pdf\",\n",
    "    format=\"PDF\",\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "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(\n",
    "    data, target, test_size=0.1, random_state=42\n",
    ")\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, bins=30, range=[-200, 200], color=\"#2A9D8F\", alpha=0.8, 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": []
  }
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