{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "f1631d62",
   "metadata": {},
   "source": [
    "# Matplotlib Plotting Basic\n",
    "Make sure that the necessary pacakges are installed:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "7c4bafcc",
   "metadata": {},
   "outputs": [],
   "source": [
    "import sys\n",
    "!{sys.executable} -m pip install matplotlib --user\n",
    "!{sys.executable} -m pip install mplhep --user\n",
    "!{sys.executable} -m pip install uproot --user\n",
    "!{sys.executable} -m pip install scipy --user"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2240396a",
   "metadata": {},
   "source": [
    "## Importing the necessasry packages \n",
    "We will need matplotlib, uproot, numpy , awkward array, mplhep and scipy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "dec0ba6d",
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib\n",
    "import uproot\n",
    "import numpy as np\n",
    "import awkward as ak\n",
    "import mplhep as hep\n",
    "from scipy.optimize import curve_fit"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7f9153e2",
   "metadata": {},
   "source": [
    "## Uproot: reading tree in root files as a uproot TTree object \n",
    "Uproot converts the root TTree file into its own TTree object "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "c7a1b17b",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<TTree '' (15 branches) at 0x000106645f60>\n"
     ]
    }
   ],
   "source": [
    "tree=uproot.open(\"Zmumu.root\")[\"physics\"]\n",
    "print(tree)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "64429853",
   "metadata": {},
   "source": [
    "## Uproot: converting the TTree object into a awkward array \n",
    "The uproot TTree object can be converted into python data sciecne object such as an awkward array, a numpy array or standard python dictionary objects"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "8973ce67",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[{lep1_pt: 59.9, lep1_eta: -2.18, lep1_phi: -1.42, lep1_E: 268, ...}, ...]\n",
      "<class 'awkward.highlevel.Array'>\n"
     ]
    }
   ],
   "source": [
    "branches=tree.arrays()\n",
    "print(branches)\n",
    "print(type(branches))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1f981600",
   "metadata": {},
   "source": [
    "## Converting the awkward array to a more familiar python list object "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "3f652bb2",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'list'>\n",
      "<class 'dict'>\n"
     ]
    }
   ],
   "source": [
    "branches_dictionary=branches.tolist()\n",
    "print(type(branches_dictionary))\n",
    "print(type(branches_dictionary[0]))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "db1fd5da",
   "metadata": {},
   "source": [
    "## Printing Total number of events"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "4c0a7930",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total event #:  2500000\n"
     ]
    }
   ],
   "source": [
    "print(\"Total event #: \", len(branches_dictionary))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "eb52aa0e",
   "metadata": {},
   "source": [
    "## Printing lep1_pt for the event #1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "0c276acb",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Event 1 , lep_pt:  33.927207946777344\n"
     ]
    }
   ],
   "source": [
    "print(\"Event 1 , lep_pt: \", branches_dictionary[1][\"lep1_pt\"])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "02029562",
   "metadata": {},
   "source": [
    "## Listing value in event 123"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "bc59acf0",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Event # 123: \n",
      "-------\n",
      "lep1_pt : 36.613399505615234\n",
      "lep1_eta : 1.7273433208465576\n",
      "lep1_phi : 2.458820104598999\n",
      "lep1_E : 106.24195861816406\n",
      "lep1_m : 0.10270115733146667\n",
      "lep2_pt : 24.32341766357422\n",
      "lep2_eta : 0.9998672008514404\n",
      "lep2_phi : -0.6162007451057434\n",
      "lep2_E : 37.52934646606445\n",
      "lep2_m : 0.10544638335704803\n",
      "Z_pt : 12.449456214904785\n",
      "Z_eta : 3.028292417526245\n",
      "Z_phi : 2.3284811973571777\n",
      "Z_E : 143.77130126953125\n",
      "Z_m : 63.64608383178711\n"
     ]
    }
   ],
   "source": [
    "print(\"Event # 123: \")\n",
    "print(\"-------\")\n",
    "for branch, value in branches_dictionary[123].items():\n",
    "    print(\"%s : %s\"%(branch, value))\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b428be59",
   "metadata": {},
   "source": [
    "## Making 1d histogram with Matplotlib\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "6ee32806",
   "metadata": {},
   "outputs": [],
   "source": [
    "from matplotlib import pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "9ff19519",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9ad3a25b",
   "metadata": {},
   "source": [
    "## Get lep1_pt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "99e5ade8",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'awkward.highlevel.Array'>\n"
     ]
    }
   ],
   "source": [
    "lep1_pt=branches[\"lep1_pt\"]\n",
    "print(type(lep1_pt))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "05896f79",
   "metadata": {},
   "source": [
    "## Making pyplot object from the lepton 1 pt branch"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "5fc60a19",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fill, bins, edges=plt.hist(lep1_pt, bins=100, range=(0,150))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "313845dd",
   "metadata": {},
   "source": [
    "## hist1d: Beautifying: Adding axis label and legend to plot "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "ea484c66",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "No artists with labels found to put in legend.  Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "fill, bins, edges=plt.hist(lep1_pt, bins=100, range=(0,150))\n",
    "ax.set_ylabel(\"Entries\")\n",
    "ax.set_xlabel(\"lepton1 PT(GeV)\")\n",
    "ax.set_title(\"Example 1d histogram\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b28bcd67",
   "metadata": {},
   "source": [
    "## hist1d: Further beutifying: Make log, coloring etc "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "0aa20ae8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "fill, bins, edges=plt.hist(lep1_pt, bins=100, range=(0,150), label=\"lepton 1: PT\", color=\"g\", log=True)\n",
    "ax.set_ylabel(\"Entries\")\n",
    "ax.set_xlabel(\"lepton1 PT(GeV)\")\n",
    "ax.set_title(\"Example 1d histogram\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8186346a",
   "metadata": {},
   "source": [
    "## hist1d: Creating a mask to only look at events with lepton 1 pt < 40 GeV"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "5675d270",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "mask:  [False, True, True, True, False, False, ..., False, False, True, True, True]\n"
     ]
    }
   ],
   "source": [
    "mask=branches['lep1_pt']<40\n",
    "print(\"mask: \", mask)\n",
    "lep1_pt_filtered=lep1_pt[mask]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "0feb4461",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fill, bins, edges=plt.hist(lep1_pt_filtered, bins=100, range=(0,150), label=\"lepton 1: PT, PT<40GeV\", color=\"r\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e9847d80",
   "metadata": {},
   "source": [
    "## hist1d masked: Beautifying "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "3ff2546c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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QEP773/8iNjYWnTt3xquvvgobGxssXrwYBQUFmDt3rjL/W2+9hW+//RZPPvkkxo8fr9xSwdvbGzk5OWbdy6tXr16ws7PDM888g5deeglXr17Fl19+CQ8PD9XDT0VuqXA/HBwc4Ovri9WrV6N58+aoUaMG2rRpgzZt2mDBggXo3Lkz/Pz8MHr0aDRu3BhZWVlISEjAX3/9pXy+7kSn02HhwoUYPnw42rdvjyFDhqB27do4c+YMfvzxR3Tq1Amff/45AMt9DqmKsNyFh0TVy91uqQBAoqOjpaioSB5//HGpX7++ySXZIiKffvqpAJDVq1eLyM1LwmfNmiUNGzYUrVYr/v7+snnz5lKXmpdc2j5v3jyT5ZVcpn77rQBK6ty3b5/S1rBhQ+nTp49s27ZNHnvsMdFqtdKyZctS85Z16bvIzdsODBgwQGrWrClarVYaNmwozz//vMTFxd1zu4WHh991m93q+++/l1atWolWqxVfX19Zt25dqe1xJyVjvF23bt2kW7dudxzjyZMnZdSoUdKkSROxt7eXGjVqSI8ePeSXX34xWc7x48ela9eu4uDgUOpWAwcOHJDQ0FBxdnYWR0dH6dGjh8mtDEocPHhQunTpIlqtVurXry9RUVEyf/58ASCZmZn3HIuIyMaNG+Wxxx4Te3t7adSokcyZM0eWLl1a5m0ZyloGABk7dqxJW1mfsYrcUuHvv/8uc7o5t1QQEdm7d68EBASInZ1dqdsrnDhxQkaMGCFeXl5ia2sr9erVk3/+85/yv//9T+lT1mf/9jpCQ0PF1dVV7O3tpUmTJhIRESH79+836Xc/n0Oq3jQilfDMQyJ6qBo1aoQ2bdpg8+bNli6FbjNhwgQsXrwYV69eveMJ5ERUOfCcKiKiSuL69esm7y9duoRvvvkGnTt3ZqAiqgJ4ThURUSURHByM7t27o1WrVsjKysLXX38Ng8Fwx/svEVHlwlBFRFRJPP300/jf//6HJUuWQKPRoH379vj666/RtWtXS5dGRGbgOVVEREREKuA5VUREREQqYKgiIiIiUgHPqXqIjEYjzp8/DxcXF7Nu5EdERESWJyK4cuUK6tatCyurO++PYqh6iM6fP1/q6e9ERERUNZw9e/auD1FnqHqIXFxcANz8oZQ874uIiIgqN4PBgAYNGijf43fCUPUQlRzy0+l0DFVERERVzL1O3eGJ6kREREQqYKgiIiIiUgFDFREREZEKeE4VEVEVU1xcjMLCQkuXQVRt2NraqvLQcoYqIqIqQkSQmZmJ3NxcS5dCVO24ubnBy8vrvu4jyVBFRFRFlAQqDw8PODo68ibCRCoQEeTl5SE7OxsAUKdOnQovi6GKiKgKKC4uVgJVzZo1LV0OUbXi4OAAAMjOzoaHh0eFDwXyRHUioiqg5BwqR0dHC1dCVD2V/G7dz/mKDFVERFUID/kRPRhq/G4xVBERERGpgKGKiIgeqO7du2PChAmWLoPogWOoIiKq6jSah/uqBGbOnIl27do9lHXl5+cjIiICfn5+sLGxQf/+/Su0nJiYGGg0Gmg0GlhZWaF+/foYOXIksrOzTabd6XXq1Cmz1tO9e3dlHnt7e/j6+uKLL74oNa2sV/fu3Ss0thJ//vknXFxc4ObmVmra2rVr0bJlS9jb28PPzw8//fRTmfOPGjUK3t7e0Gq1qFevHnr27IkVK1agqKjIrBrGjx+PVq1alTntzJkzsLa2xsaNG8s1LnMxVBEREd1FcXExHBwc8NprryEkJOS+lqXT6XDhwgX89ddf+PLLL7FlyxYMHz4cgwcPxoULF5RXcHAwRo8ebdLWoEEDs9dTMm9qaiqef/55jB07FitXrsS6deuU5SUlJQEAfvnlF6Vt3bp1Zi3/zJkzpdoKCwsxdOhQdOnSpdS0vXv3YujQoYiMjMTBgwfRv39/9O/fH0eOHFH6JCUloX379jh27BgWLFiAI0eOYOfOnXjxxRexcOFCHD161KzaIiMjcfz4cezdu7fUtJiYGHh4eODpp582a1nlJvTQ6PV6ASB6vd7SpRBRFXP9+nVJTU2V69evl54IPNxXOXXr1k1ef/115X1+fr5MmjRJ6tatK46OjtKhQwfZsWOHMj06OlpcXV1l/fr10rRpU9FqtdKrVy85c+aMMh2AySs6OlpERE6fPi19+/YVJycncXFxkUGDBklmZqay7BkzZkjbtm1l+fLl0rBhQ9HpdDJ48GAxGAxmjSU8PFz69etX7m1w67hu9f7774uVlZXk5eWZtN++zcqjrHmbNWsmQ4YMMWnLyMgQAHLw4EGzlqvX6+Wrr76SLl26iLu7e6npb731lgwbNqzMcT7//PPSp08fk7agoCB56aWXRETEaDRKq1atJCAgQIqLi8tcv9FoVP595swZGTRokLi6uoq7u7v07dtXMjIylOnt27eXyMjIUvP7+PjIlClTylz+3X7HzP3+5p4qIiJ6qMaNG4eEhASsWrUKhw4dwqBBg9C7d2+kp6crffLy8vD+++9j+fLl2LNnD3JzczFkyBAAwODBgzFp0iS0bt1a2cMyePBgGI1G9OvXDzk5OYiPj0dsbCxOnjyJwYMHm6z/xIkT+OGHH7B582Zs3rwZ8fHxmD179n2N6dSpU9BoNNi5c2e55nNwcIDRaDT70FZFOTg44MaNG+Wez2g0IjY2FsOGDYOXlxdmz56Nnj17Yv/+/Sb9tm/fjrVr12LBggVlLichIaHUXr7Q0FAkJCQAAFJSUnDs2DG8+eabsLIqO5qUXJ1XWFiI0NBQuLi44Ndff8WePXvg7OyM3r17K2OMjIzEmjVrcO3aNWX+nTt3IiMjA6NGjSr3djAXQxVRZVFJz10hUtOZM2cQHR2NtWvXokuXLmjSpAnefPNNdO7cGdHR0Uq/wsJCfP755wgODkZAQACWLVuGvXv3IikpCQ4ODnB2doaNjQ28vLzg5eUFBwcHxMXF4fDhw/juu+8QEBCAoKAgLF++HPHx8di3b5+ybKPRiJiYGLRp0wZdunTB8OHDERcXd1/jsrW1RYsWLcp1H7H09HQsWrQIgYGBcHFxua/130lxcTG+/fZbHDp0CE888YTZ8/3xxx/417/+hYYNG2Lw4MFwdnbGL7/8gvT0dMyYMQONGzdW+l66dAkRERGIiYmBTqcrc3mZmZnw9PQ0afP09ERmZqayPgBo0aKFMj07OxvOzs7Kq+S8sNWrV8NoNOKrr76Cn58fWrVqhejoaJw5c0YJtS+88AIKCwuxdu1aZXnR0dHo3LkzmjdvbvZ2KC/eUZ2IiB6aw4cPo7i4uNQXW0FBgcmd4m1sbPD4448r71u2bAk3NzccO3YMHTp0KHPZx44dQ4MGDUzOPfL19VXmK1leo0aNTEJMnTp1lEeUVFS9evVw/Pjxe/bT6/VwdnaG0WhEfn4+OnfujK+++uq+1l2WL774Al999RVu3LgBa2trvPHGG3jllVfMnn/MmDGIj4/Hyy+/jI8++ki543hZRo8ejRdeeAFdu3ZVo3RFzZo1kZKSAuDmCfYle6F+//135YT4W+Xn5+PEiRMAbj7Hb8CAAVi6dCkiIiJgMBjw/fff33FPmloYqoiI6KG5evUqrK2tkZycXOpRIM7Ozg+lBltbW5P3Go0GRqPxoazbxcUFBw4cgJWVFerUqXPXsHI/wsLC8O9//xsODg6oU6fOHQ+p3cknn3yCr7/+GitXrsTmzZsRFhaG4cOHo3Xr1qX6bt++HRs3bsQHH3wA4Oaz9IxGI2xsbLBkyRKMGjUKXl5eyMrKMpkvKysLXl5eAIBmzZoBANLS0uDv7w8AsLa2RtOmTQHcDNklrl69ioCAAKxYsaJULbVr11b+HRkZiZ49e+LPP//Ejh07YG1tjUGDBpVrO5QXD/8REdFD4+/vj+LiYmRnZ6Np06Ymr5IvWAAoKioyOW8nLS0Nubm5yqXydnZ2KC4uNll2q1atcPbsWZw9e1ZpS01NRW5uLnx9fR/wyMxjZWWFpk2bonHjxg8sUAGAq6srmjZtinr16pU7UAFAu3bt8Nlnn+H8+fP49NNPcezYMfj7+6N9+/b4+OOPlcN2wM3zpVJSUpTXu+++CxcXF6SkpODZZ58FAAQHB5c6xBobG4vg4GAANz8XLVu2xAcffHDPgNu+fXukp6fDw8Oj1GfI1dVV6dejRw/4+PggOjoa0dHRGDJkCJycnMq9LcqDoYqIiB6a5s2bIywsDCNGjMC6deuQkZGBpKQkREVF4ccff1T62draYvz48UhMTERycjIiIiLwj3/8Qzn016hRI2RkZCAlJQUXL15EQUEBQkJC4Ofnh7CwMBw4cABJSUkYMWIEunXrhsDAwPuqOzU1FSkpKcjJyYFer1cCRIlz586hZcuWym0Kqgs7OzsMGDAAGzZswLlz5zBixAgsX77cZI9Vq1at0KZNG+VVEuTatGkDd3d3AMDrr7+OrVu34sMPP8Tx48cxc+ZM7N+/H+PGjQNwc29hdHQ00tLS0KlTJ2zcuBHp6elITU3FokWL8Pfffyt7NsPCwlCrVi3069cPv/76KzIyMrBz50689tpr+Ouvv5S6NBoNRo0ahYULFyIhIQGRkZEPfHsxVBER0UMVHR2NESNGYNKkSWjRogX69++Pffv2wdvbW+nj6OiIKVOm4IUXXkCnTp3g7OyM1atXK9MHDhyI3r17o0ePHqhduzZWrlwJjUaDDRs2wN3dHV27dkVISAgaN25sMl9FPf300/D398emTZuwc+dO+Pv7K4epgJsn1qelpSEvL+++13U3O3fuLNeNQNVUu3ZtTJgwAQcPHsSePXvKNW/Hjh3x3XffYcmSJWjbti3+97//4YcffkCbNm2UPv/4xz+QnJyMFi1aYOzYsfD19UXHjh2xcuVKfPzxx8o5YY6Ojti1axe8vb0xYMAAtGrVCpGRkcjPzy91onxERAT0ej1at26NoKCg+98I96AREXngayEAgMFggKurK/R6/R2vkKBHWFlX+/HXk/6//Px8ZGRkwMfHB/b29pYu54GKiYnBhAkTkJuba+lSKp3o6GjMmjULqamppc4No/tzt98xc7+/uaeKiIioivjpp58wa9YsBqpKilf/ERERVRG33neJKh/uqSIiokolIiKCh/6oSrJoqNq1axeeeeYZ1K1bFxqNBj/88IPJdBHB9OnTlXt5hISEmDzGAABycnIQFhYGnU4HNzc3REZG4urVqyZ9Dh06hC5dusDe3h4NGjTA3LlzS9Vyr6dnm1MLERERPbosGqquXbuGtm3b3vEOp3PnzsX8+fOxaNEiJCYmwsnJCaGhocjPz1f6hIWF4ejRo4iNjcXmzZuxa9cujBkzRpluMBjQq1cvNGzYEMnJyZg3bx5mzpyJJUuWKH3MeXq2ObUQET1ovLaI6MFQ5Xfrro9bfogAyPr165X3RqNRvLy8ZN68eUpbbm6uaLVaWblypYiIpKamCgDZt2+f0mfLli2i0Wjk3LlzIiLyxRdfiLu7uxQUFCh9pkyZIi1atFDem/P07HvVYg5zn3JNj6ib1/qZvoj+v6KiIklNTZWLFy9auhSiaunixYuSmpoqRUVFpaaZ+/1daU9Uz8jIQGZmpslTrV1dXREUFISEhAQMGTIECQkJcHNzM7mpW0hICKysrJCYmIhnn30WCQkJ6Nq1K+zs7JQ+oaGhmDNnDi5fvgx3d3ckJCRg4sSJJusPDQ1VDkeaU0tZCgoKUFBQoLw3GAz3tU2I6NFlbW0NNzc35Rl1jo6O0PCh20T3TUSQl5eH7OxsuLm5lXp8UnlU2lBVcgv8uz3VOjMzEx4eHibTbWxsUKNGDZM+Pj4+pZZRMs3d3f2eT882p5ayREVF4Z133rn3YImIzFDyGJf7ffgvEZXm5uZm8qikiqi0oao6mDp1qskeMIPBYPL0dCKi8tBoNKhTpw48PDxQWFho6XKIqg1bW9v72kNVotKGqpK0mJWVhTp16ijtWVlZaNeundLn9v+xFRUVIScnR5n/Tk/GvnUd93p6tjm1lEWr1UKr1Zo1XiIic1lbW6vyBUBE6qq096ny8fGBl5eXyVOtDQYDEhMTladaBwcHIzc3F8nJyUqf7du3w2g0Ks/4CQ4Oxq5du0z+VxcbG4sWLVooD3q819OzzamFiIiIHnEP6CR6s1y5ckUOHjwoBw8eFADy0UcfycGDB+X06dMiIjJ79mxxc3OTDRs2yKFDh6Rfv37i4+Mj169fV5bRu3dv8ff3l8TERNm9e7c0a9ZMhg4dqkzPzc0VT09PGT58uBw5ckRWrVoljo6OsnjxYqXPnj17xMbGRj744AM5duyYzJgxQ2xtbeXw4cNKH3NquRde/Ud3xav/iIgqJXO/vy36V3vHjh0CoNQrPDxcRG7eymDatGni6ekpWq1WevbsKWlpaSbLuHTpkgwdOlScnZ1Fp9PJyJEj5cqVKyZ9fv/9d+ncubNotVqpV6+ezJ49u1Qta9askebNm4udnZ20bt1afvzxR5Pp5tRyLwxVdFcMVURElZK5398aEd5J7mEx9ynX9Igq6/J4/noSEVmcud/flfacKiIiIqKqhKGKiIiISAUMVUREREQqYKgiIiIiUgFDFREREZEKGKqIiIiIVMBQRURERKQChioiIiIiFTBUEREREamAoYqIiIhIBQxVRERERCpgqCIiIiJSAUMVERERkQoYqoiIiIhUwFBFREREpAKGKiIiIiIVMFQRERERqcDG0gUQPbI0GktXQEREKuKeKiIiIiIVMFQRERERqYChioiIiEgFDFVEREREKmCoIiIiIlIBQxURERGRChiqiIiIiFTAUEVERESkAoYqIiIiIhUwVBERERGpgKGKiIiISAUMVUREREQqYKgiIiIiUgFDFREREZEKGKqIiIiIVMBQRURERKQChioiIiIiFTBUEREREamAoYqIiIhIBQxVRERERCpgqCIiIiJSAUMVERERkQoYqoiIiIhUwFBFREREpAKGKiIiIiIVMFQRERERqYChioiIiEgFDFVEREREKmCoIiIiIlIBQxURERGRChiqiIiIiFTAUEVERESkAoYqIiIiIhUwVBERERGpgKGKiIiISAU2li6A6JGg0Vi6AiIiesC4p4qIiIhIBQxVRERERCqo1KGquLgY06ZNg4+PDxwcHNCkSRO89957EBGlj4hg+vTpqFOnDhwcHBASEoL09HST5eTk5CAsLAw6nQ5ubm6IjIzE1atXTfocOnQIXbp0gb29PRo0aIC5c+eWqmft2rVo2bIl7O3t4efnh59++unBDJyIiIiqnEodqubMmYOFCxfi888/x7FjxzBnzhzMnTsXn332mdJn7ty5mD9/PhYtWoTExEQ4OTkhNDQU+fn5Sp+wsDAcPXoUsbGx2Lx5M3bt2oUxY8Yo0w0GA3r16oWGDRsiOTkZ8+bNw8yZM7FkyRKlz969ezF06FBERkbi4MGD6N+/P/r3748jR448nI1BRERElZtUYn369JFRo0aZtA0YMEDCwsJERMRoNIqXl5fMmzdPmZ6bmytarVZWrlwpIiKpqakCQPbt26f02bJli2g0Gjl37pyIiHzxxRfi7u4uBQUFSp8pU6ZIixYtlPfPP/+89OnTx6SWoKAgeemll8wej16vFwCi1+vNnoeqCaBiLyIisjhzv78r9Z6qjh07Ii4uDn/88QcA4Pfff8fu3bvx1FNPAQAyMjKQmZmJkJAQZR5XV1cEBQUhISEBAJCQkAA3NzcEBgYqfUJCQmBlZYXExESlT9euXWFnZ6f0CQ0NRVpaGi5fvqz0uXU9JX1K1lOWgoICGAwGkxcRERFVT5X6lgpvv/02DAYDWrZsCWtraxQXF+P9999HWFgYACAzMxMA4OnpaTKfp6enMi0zMxMeHh4m021sbFCjRg2TPj4+PqWWUTLN3d0dmZmZd11PWaKiovDOO++Ud9hERERUBVXqPVVr1qzBihUr8N133+HAgQNYtmwZPvjgAyxbtszSpZll6tSp0Ov1yuvs2bOWLomIiIgekEq9p2ry5Ml4++23MWTIEACAn58fTp8+jaioKISHh8PLywsAkJWVhTp16ijzZWVloV27dgAALy8vZGdnmyy3qKgIOTk5yvxeXl7Iysoy6VPy/l59SqaXRavVQqvVlnfYREREVAVV6j1VeXl5sLIyLdHa2hpGoxEA4OPjAy8vL8TFxSnTDQYDEhMTERwcDAAIDg5Gbm4ukpOTlT7bt2+H0WhEUFCQ0mfXrl0oLCxU+sTGxqJFixZwd3dX+ty6npI+JeshIiKiR9xDOnG+QsLDw6VevXqyefNmycjIkHXr1kmtWrXkrbfeUvrMnj1b3NzcZMOGDXLo0CHp16+f+Pj4yPXr15U+vXv3Fn9/f0lMTJTdu3dLs2bNZOjQocr03Nxc8fT0lOHDh8uRI0dk1apV4ujoKIsXL1b67NmzR2xsbOSDDz6QY8eOyYwZM8TW1lYOHz5s9nh49d8jjFf/ERFVWeZ+f1fqv9oGg0Fef/118fb2Fnt7e2ncuLH8+9//Nrn1gdFolGnTpomnp6dotVrp2bOnpKWlmSzn0qVLMnToUHF2dhadTicjR46UK1eumPT5/fffpXPnzqLVaqVevXoye/bsUvWsWbNGmjdvLnZ2dtK6dWv58ccfyzUehqpHGEMVEVGVZe73t0bkltuT0wNlMBjg6uoKvV4PnU5n6XLoYaroA5X560lEZHHmfn9X6nOqiIiIiKoKhioiIiIiFTBUEREREamAoYqIiIhIBQxVRERERCpgqCIiIiJSQaV+TA3RI+/2WzHwFgtERJUW91QRERERqYChioiIiEgFDFVEREREKmCoIiIiIlIBQxURERGRChiqiIiIiFTAUEVERESkAoYqIiIiIhUwVBERERGpgKGKiIiISAUMVUREREQq4LP/iB6E25/ZR0RE1R73VBERERGpgKGKiIiISAUMVUREREQqYKgiIiIiUgFDFREREZEKGKqIiIiIVMBQRURERKQChioiIiIiFTBUEREREamAoYqIiIhIBQxVRERERCpgqCIiIiJSAUMVERERkQoYqoiIiIhUwFBFREREpAKGKiIiIiIVMFQRERERqYChioiIiEgFDFVEREREKmCoIiIiIlIBQxURERGRChiqiIiIiFTAUEVERESkAoYqIiIiIhUwVBERERGpgKGKiIiISAUMVUREREQqYKgiIiIiUgFDFREREZEKGKqIiIiIVMBQRURERKQChioiIiIiFTBUEREREanAxtIFEFV5Go2lKyAiokqAe6qIiIiIVMBQRURERKQChioiIiIiFTBUEREREamg0oeqc+fOYdiwYahZsyYcHBzg5+eH/fv3K9NFBNOnT0edOnXg4OCAkJAQpKenmywjJycHYWFh0Ol0cHNzQ2RkJK5evWrS59ChQ+jSpQvs7e3RoEEDzJ07t1Qta9euRcuWLWFvbw8/Pz/89NNPD2bQREREVOVUKFSdPXsWf/31l/I+KSkJEyZMwJIlS1QrDAAuX76MTp06wdbWFlu2bEFqaio+/PBDuLu7K33mzp2L+fPnY9GiRUhMTISTkxNCQ0ORn5+v9AkLC8PRo0cRGxuLzZs3Y9euXRgzZowy3WAwoFevXmjYsCGSk5Mxb948zJw502Q8e/fuxdChQxEZGYmDBw+if//+6N+/P44cOaLqmImIiKiKkgro3LmzLF++XERELly4IDqdToKDg6VWrVryzjvvVGSRZZoyZYp07tz5jtONRqN4eXnJvHnzlLbc3FzRarWycuVKERFJTU0VALJv3z6lz5YtW0Sj0ci5c+dEROSLL74Qd3d3KSgoMFl3ixYtlPfPP/+89OnTx2T9QUFB8tJLL5k9Hr1eLwBEr9ebPQ9VAcDDexER0UNn7vd3hfZUHTlyBB06dAAArFmzBm3atMHevXuxYsUKxMTEqBb4Nm7ciMDAQAwaNAgeHh7w9/fHl19+qUzPyMhAZmYmQkJClDZXV1cEBQUhISEBAJCQkAA3NzcEBgYqfUJCQmBlZYXExESlT9euXWFnZ6f0CQ0NRVpaGi5fvqz0uXU9JX1K1lOWgoICGAwGkxcRERFVTxUKVYWFhdBqtQCAX375BX379gUAtGzZEhcuXFCtuJMnT2LhwoVo1qwZtm3bhldeeQWvvfYali1bBgDIzMwEAHh6eprM5+npqUzLzMyEh4eHyXQbGxvUqFHDpE9Zy7h1HXfqUzK9LFFRUXB1dVVeDRo0KNf4iYiIqOqoUKhq3bo1Fi1ahF9//RWxsbHo3bs3AOD8+fOoWbOmasUZjUa0b98es2bNgr+/P8aMGYPRo0dj0aJFqq3jQZo6dSr0er3yOnv2rKVLIiIiogekQqFqzpw5WLx4Mbp3746hQ4eibdu2AG4eris5LKiGOnXqwNfX16StVatWOHPmDADAy8sLAJCVlWXSJysrS5nm5eWF7Oxsk+lFRUXIyckx6VPWMm5dx536lEwvi1arhU6nM3kRERFR9VShUNW9e3dcvHgRFy9exNKlS5X2MWPGqLoXqVOnTkhLSzNp++OPP9CwYUMAgI+PD7y8vBAXF6dMNxgMSExMRHBwMAAgODgYubm5SE5OVvps374dRqMRQUFBSp9du3ahsLBQ6RMbG4sWLVooVxoGBwebrKekT8l6iIiI6BFX0TPhCwsLJTY2VhYtWiQGg0FERM6dOydXrlyp6CJLSUpKEhsbG3n//fclPT1dVqxYIY6OjvLtt98qfWbPni1ubm6yYcMGOXTokPTr1098fHzk+vXrSp/evXuLv7+/JCYmyu7du6VZs2YydOhQZXpubq54enrK8OHD5ciRI7Jq1SpxdHSUxYsXK3327NkjNjY28sEHH8ixY8dkxowZYmtrK4cPHzZ7PLz6r5ri1X9ERNWaud/fFforferUKWnZsqU4OjqKtbW1nDhxQkREXnvttXLdYsAcmzZtkjZt2ohWq5WWLVvKkiVLTKYbjUaZNm2aeHp6ilarlZ49e0paWppJn0uXLsnQoUPF2dlZdDqdjBw5slT4+/3336Vz586i1WqlXr16Mnv27FK1rFmzRpo3by52dnbSunVr+fHHH8s1FoaqaoqhioioWjP3+1sjIlLevVv9+/eHi4sLvv76a9SsWRO///47GjdujJ07d2L06NGl7mhONxkMBri6ukKv1/P8qupEo3l46yr/rysREd0nc7+/bSqy8F9//RV79+41ua8TADRq1Ajnzp2ryCKJiIiIqrQKnahuNBpRXFxcqv2vv/6Ci4vLfRdFREREVNVUKFT16tULn3zyifJeo9Hg6tWrmDFjBp5++mm1aiMiIiKqMip0TtVff/2F0NBQiAjS09MRGBiI9PR01KpVC7t27Sp1B3O6iedUVVM8p4qIqFoz9/u7QqEKuHkDzVWrVuHQoUO4evUq2rdvj7CwMDg4OFS46OqOoaqaYqgiIqrWHuiJ6sDN5+cNGzasorMTERERVStmh6qNGzfiqaeegq2tLTZu3HjXviUPWCYiIiJ6VJh9+M/KygqZmZnw8PCAldWdz2/XaDRlXhlIPPxXbfHwHxFRtab64T+j0Vjmv4mIiIioArdUKCwsRM+ePXnXdCIiIqJblDtU2dra4tChQw+iFiIiIqIqq0I3/xw2bBi+/vprtWshIiIiqrIqdEuFoqIiLF26FL/88gsCAgLg5ORkMv2jjz5SpTgiIiKiqqJCoerIkSNo3749AOCPP/5QtSAiIiKiqqhCoWrHjh1q10FERERUpVXonKpRo0bhypUrpdqvXbuGUaNG3XdRRERERFVNhULVsmXLcP369VLt169fx/Lly++7KKJKTaMxfREREaGch/8MBgNEBCKCK1euwN7eXplWXFyMn376CR4eHqoXSURERFTZlStUubm5QaPRQKPRoHnz5qWmazQavPPOO6oVR0RERFRVlCtU7dixAyKCJ554At9//z1q1KihTLOzs0PDhg1Rt25d1YskIiIiquzKFaq6desGAMjIyECDBg3u+mBlIiIiokdJhW6p0LBhQ+Tm5iIpKQnZ2dmlHrA8YsQIVYojIiIiqioqFKo2bdqEsLAwXL16FTqdDppbroDSaDQMVURERPTIqdDxu0mTJmHUqFG4evUqcnNzcfnyZeWVk5Ojdo1ERERElV6FQtW5c+fw2muvwdHRUe16iIiIiKqkCoWq0NBQ7N+/X+1aiIiIiKqsCp1T1adPH0yePBmpqanw8/ODra2tyfS+ffuqUhwRERFRVaERESnvTHe7lYJGo0FxcfF9FVVdGQwGuLq6Qq/XQ6fTWbocqihLPpqm/L+uRER0n8z9/q7Qnqrbb6FARERE9Kgr1zlVTz/9NPR6vfJ+9uzZyM3NVd5funQJvr6+qhVHREREVFWUK1Rt27YNBQUFyvtZs2aZ3EKhqKgIaWlp6lVHREREVEWUK1TdfvpVBU7HIiIiIqqW+PA+IiIiIhWUK1RpNBqTR9KUtBERERE96sp19Z+IICIiAlqtFgCQn5+Pl19+GU5OTgBgcr4VERER0aOkXKEqPDzc5P2wYcNK9eHDlImIiOhRVK5QFR0d/aDqICIiIqrSeKI6ERERkQoYqoiIiIhUwFBFREREpAKGKiIiIiIVMFQRERERqYChioiIiEgFDFVEREREKmCoIiIiIlIBQxURERGRChiqiIiIiFTAUEVERESkAoYqIiIiIhUwVBERERGpwMbSBRBVahqNpSsgIqIqgnuqiIiIiFTAUEVERESkAoYqIiIiIhUwVBERERGpgKGKiIiISAVVKlTNnj0bGo0GEyZMUNry8/MxduxY1KxZE87Ozhg4cCCysrJM5jtz5gz69OkDR0dHeHh4YPLkySgqKjLps3PnTrRv3x5arRZNmzZFTExMqfUvWLAAjRo1gr29PYKCgpCUlPQghklERERVUJUJVfv27cPixYvx2GOPmbS/8cYb2LRpE9auXYv4+HicP38eAwYMUKYXFxejT58+uHHjBvbu3Ytly5YhJiYG06dPV/pkZGSgT58+6NGjB1JSUjBhwgS8+OKL2LZtm9Jn9erVmDhxImbMmIEDBw6gbdu2CA0NRXZ29oMfPBEREVV+UgVcuXJFmjVrJrGxsdKtWzd5/fXXRUQkNzdXbG1tZe3atUrfY8eOCQBJSEgQEZGffvpJrKysJDMzU+mzcOFC0el0UlBQICIib731lrRu3dpknYMHD5bQ0FDlfYcOHWTs2LHK++LiYqlbt65ERUWZPQ69Xi8ARK/Xmz94siygcr2IiOihM/f7u0rsqRo7diz69OmDkJAQk/bk5GQUFhaatLds2RLe3t5ISEgAACQkJMDPzw+enp5Kn9DQUBgMBhw9elTpc/uyQ0NDlWXcuHEDycnJJn2srKwQEhKi9CEiIqJHW6W/o/qqVatw4MAB7Nu3r9S0zMxM2NnZwc3NzaTd09MTmZmZSp9bA1XJ9JJpd+tjMBhw/fp1XL58GcXFxWX2OX78+B1rLygoQEFBgfLeYDDcY7RERERUVVXqPVVnz57F66+/jhUrVsDe3t7S5ZRbVFQUXF1dlVeDBg0sXRIRERE9IJU6VCUnJyM7Oxvt27eHjY0NbGxsEB8fj/nz58PGxgaenp64ceMGcnNzTebLysqCl5cXAMDLy6vU1YAl7+/VR6fTwcHBAbVq1YK1tXWZfUqWUZapU6dCr9crr7Nnz1ZoOxAREVHlV6lDVc+ePXH48GGkpKQor8DAQISFhSn/trW1RVxcnDJPWloazpw5g+DgYABAcHAwDh8+bHKVXmxsLHQ6HXx9fZU+ty6jpE/JMuzs7BAQEGDSx2g0Ii4uTulTFq1WC51OZ/IiIiKi6qlSn1Pl4uKCNm3amLQ5OTmhZs2aSntkZCQmTpyIGjVqQKfTYfz48QgODsY//vEPAECvXr3g6+uL4cOHY+7cucjMzMR//vMfjB07FlqtFgDw8ssv4/PPP8dbb72FUaNGYfv27VizZg1+/PFHZb0TJ05EeHg4AgMD0aFDB3zyySe4du0aRo4c+ZC2BhEREVVmlTpUmePjjz+GlZUVBg4ciIKCAoSGhuKLL75QpltbW2Pz5s145ZVXEBwcDCcnJ4SHh+Pdd99V+vj4+ODHH3/EG2+8gU8//RT169fHV199hdDQUKXP4MGD8ffff2P69OnIzMxEu3btsHXr1lInrxMREdGjSSMiYukiHhUGgwGurq7Q6/U8FFhVaDSWrsAUf12JiB46c7+/K/U5VURERERVBUMVERERkQoYqoiIiIhUwFBFREREpAKGKiIiIiIVMFQRERERqYChioiIiEgFDFVEREREKmCoIiIiIlIBQxURERGRChiqiIiIiFTAUEVERESkAoYqIiIiIhXYWLoAokpFo7F0BUREVEVxTxURERGRChiqiIiIiFTAUEVERESkAoYqIiIiIhUwVBERERGpgKGKiIiISAUMVUREREQqYKgiIiIiUgFDFREREZEKGKqIiIiIVMBQRURERKQChioiIiIiFTBUEREREamAoYqIiIhIBQxVRERERCpgqCIiIiJSAUMVERERkQoYqoiIiIhUwFBFREREpAKGKiIiIiIVMFQRERERqYChioiIiEgFDFVEREREKmCoIiIiIlIBQxURERGRChiqiIiIiFTAUEVERESkAoYqIiIiIhUwVBERERGpgKGKiIiISAUMVUREREQqYKgiIiIiUgFDFREREZEKGKqIiIiIVMBQRURERKQChioiIiIiFTBUEREREamAoYqIiIhIBQxVRERERCpgqCIiIiJSAUMVERERkQoYqoiIiIhUwFBFREREpIJKHaqioqLw+OOPw8XFBR4eHujfvz/S0tJM+uTn52Ps2LGoWbMmnJ2dMXDgQGRlZZn0OXPmDPr06QNHR0d4eHhg8uTJKCoqMumzc+dOtG/fHlqtFk2bNkVMTEypehYsWIBGjRrB3t4eQUFBSEpKUn3MREREVDVV6lAVHx+PsWPH4rfffkNsbCwKCwvRq1cvXLt2TenzxhtvYNOmTVi7di3i4+Nx/vx5DBgwQJleXFyMPn364MaNG9i7dy+WLVuGmJgYTJ8+XemTkZGBPn36oEePHkhJScGECRPw4osvYtu2bUqf1atXY+LEiZgxYwYOHDiAtm3bIjQ0FNnZ2Q9nYxAREVHlJlVIdna2AJD4+HgREcnNzRVbW1tZu3at0ufYsWMCQBISEkRE5KeffhIrKyvJzMxU+ixcuFB0Op0UFBSIiMhbb70lrVu3NlnX4MGDJTQ0VHnfoUMHGTt2rPK+uLhY6tatK1FRUWbXr9frBYDo9fpyjJoeKqByv4iI6KEz9/u7Uu+pup1erwcA1KhRAwCQnJyMwsJChISEKH1atmwJb29vJCQkAAASEhLg5+cHT09PpU9oaCgMBgOOHj2q9Ll1GSV9SpZx48YNJCcnm/SxsrJCSEiI0qcsBQUFMBgMJi8iIiKqnqpMqDIajZgwYQI6deqENm3aAAAyMzNhZ2cHNzc3k76enp7IzMxU+twaqEqml0y7Wx+DwYDr16/j4sWLKC4uLrNPyTLKEhUVBVdXV+XVoEGD8g+ciIiIqoQqE6rGjh2LI0eOYNWqVZYuxWxTp06FXq9XXmfPnrV0SURERPSA2Fi6AHOMGzcOmzdvxq5du1C/fn2l3cvLCzdu3EBubq7J3qqsrCx4eXkpfW6/Sq/k6sBb+9x+xWBWVhZ0Oh0cHBxgbW0Na2vrMvuULKMsWq0WWq22/AMmIiKiKqdS76kSEYwbNw7r16/H9u3b4ePjYzI9ICAAtra2iIuLU9rS0tJw5swZBAcHAwCCg4Nx+PBhk6v0YmNjodPp4Ovrq/S5dRklfUqWYWdnh4CAAJM+RqMRcXFxSh8iIiJ6xD2c8+Yr5pVXXhFXV1fZuXOnXLhwQXnl5eUpfV5++WXx9vaW7du3y/79+yU4OFiCg4OV6UVFRdKmTRvp1auXpKSkyNatW6V27doydepUpc/JkyfF0dFRJk+eLMeOHZMFCxaItbW1bN26VemzatUq0Wq1EhMTI6mpqTJmzBhxc3MzuarwXnj1XxVg6av7ePUfEVGlY+73d6X+Kw2gzFd0dLTS5/r16/Lqq6+Ku7u7ODo6yrPPPisXLlwwWc6pU6fkqaeeEgcHB6lVq5ZMmjRJCgsLTfrs2LFD2rVrJ3Z2dtK4cWOTdZT47LPPxNvbW+zs7KRDhw7y22+/lWs8DFVVgKVDE0MVEVGlY+73t0ZExFJ7yR41BoMBrq6u0Ov10Ol0li6HyqLRWLqCu+OvKxHRQ2fu93elPqeKiIiIqKpgqCIiIiJSAUMVERERkQoYqoiIiIhUwFBFREREpAKGKiIiIiIVVInH1BA9EJX99glERFSlcE8VERERkQoYqoiIiIhUwFBFREREpAKGKiIiIiIVMFQRERERqYChioiIiEgFDFVEREREKmCoIiIiIlIBQxURERGRChiqiIiIiFTAUEVERESkAoYqIiIiIhUwVBERERGpgKGKiIiISAUMVUREREQqYKgiIiIiUgFDFREREZEKGKqIiIiIVMBQRURERKQChioiIiIiFTBUEREREamAoYqIiIhIBQxVRERERCpgqCIiIiJSAUMVERERkQoYqoiIiIhUwFBFREREpAKGKiIiIiIVMFQRERERqYChioiIiEgFDFVEREREKmCoIiIiIlIBQxURERGRChiqiIiIiFTAUEVERESkAoYqIiIiIhUwVBERERGpgKGKiIiISAU2li6A6KHRaCxdARERVWPcU0VERESkAoYqIiIiIhUwVBERERGpgKGKiIiISAUMVUREREQqYKgiIiIiUgFDFREREZEKGKqIiIiIVMBQRURERKQChioiIiIiFTBUldOCBQvQqFEj2NvbIygoCElJSZYuiYiIiCoBhqpyWL16NSZOnIgZM2bgwIEDaNu2LUJDQ5GdnW3p0oiIiMjCGKrK4aOPPsLo0aMxcuRI+Pr6YtGiRXB0dMTSpUstXRoRERFZGEOVmW7cuIHk5GSEhIQobVZWVggJCUFCQoIFKyMiIqLKwMbSBVQVFy9eRHFxMTw9PU3aPT09cfz48TLnKSgoQEFBgfJer9cDAAwGw4MrlKo3fnaIiB66ku9tEblrP4aqBygqKgrvvPNOqfYGDRpYoBqqFlxdLV0BEdEj68qVK3C9y99hhioz1apVC9bW1sjKyjJpz8rKgpeXV5nzTJ06FRMnTlTeG41G5OTkoGbNmtBoNKrVZjAY0KBBA5w9exY6nU615VZmj9qYOd7qjeOt3jjeqk9EcOXKFdStW/eu/RiqzGRnZ4eAgADExcWhf//+AG6GpLi4OIwbN67MebRaLbRarUmbm5vbA6tRp9NVmw+wuR61MXO81RvHW71xvFXb3fZQlWCoKoeJEyciPDwcgYGB6NChAz755BNcu3YNI0eOtHRpREREZGEMVeUwePBg/P3335g+fToyMzPRrl07bN26tdTJ60RERPToYagqp3Hjxt3xcJ+laLVazJgxo9ShxursURszx1u9cbzVG8f76NDIva4PJCIiIqJ74s0/iYiIiFTAUEVERESkAoYqIiIiIhUwVBERERGpgKGqGliwYAEaNWoEe3t7BAUFISkpydIlqSIqKgqPP/44XFxc4OHhgf79+yMtLc2kT35+PsaOHYuaNWvC2dkZAwcOLHXX+6pq9uzZ0Gg0mDBhgtJW3cZ77tw5DBs2DDVr1oSDgwP8/Pywf/9+ZbqIYPr06ahTpw4cHBwQEhKC9PR0C1ZcccXFxZg2bRp8fHzg4OCAJk2a4L333jN5llhVHu+uXbvwzDPPoG7dutBoNPjhhx9MppsztpycHISFhUGn08HNzQ2RkZG4evXqQxxF+dxtzIWFhZgyZQr8/Pzg5OSEunXrYsSIETh//rzJMqrSmO/1M77Vyy+/DI1Gg08++cSkvSqNtyIYqqq41atXY+LEiZgxYwYOHDiAtm3bIjQ0FNnZ2ZYu7b7Fx8dj7Nix+O233xAbG4vCwkL06tUL165dU/q88cYb2LRpE9auXYv4+HicP38eAwYMsGDV6ti3bx8WL16Mxx57zKS9Oo338uXL6NSpE2xtbbFlyxakpqbiww8/hLu7u9Jn7ty5mD9/PhYtWoTExEQ4OTkhNDQU+fn5Fqy8YubMmYOFCxfi888/x7FjxzBnzhzMnTsXn332mdKnKo/32rVraNu2LRYsWFDmdHPGFhYWhqNHjyI2NhabN2/Grl27MGbMmIc1hHK725jz8vJw4MABTJs2DQcOHMC6deuQlpaGvn37mvSrSmO+18+4xPr16/Hbb7+V+UiXqjTeChGq0jp06CBjx45V3hcXF0vdunUlKirKglU9GNnZ2QJA4uPjRUQkNzdXbG1tZe3atUqfY8eOCQBJSEiwVJn37cqVK9KsWTOJjY2Vbt26yeuvvy4i1W+8U6ZMkc6dO99xutFoFC8vL5k3b57SlpubK1qtVlauXPkwSlRVnz59ZNSoUSZtAwYMkLCwMBGpXuMFIOvXr1femzO21NRUASD79u1T+mzZskU0Go2cO3fuodVeUbePuSxJSUkCQE6fPi0iVXvMdxrvX3/9JfXq1ZMjR45Iw4YN5eOPP1amVeXxmot7qqqwGzduIDk5GSEhIUqblZUVQkJCkJCQYMHKHgy9Xg8AqFGjBgAgOTkZhYWFJuNv2bIlvL29q/T4x44diz59+piMC6h+4924cSMCAwMxaNAgeHh4wN/fH19++aUyPSMjA5mZmSbjdXV1RVBQUJUcb8eOHREXF4c//vgDAPD7779j9+7deOqppwBUv/HeypyxJSQkwM3NDYGBgUqfkJAQWFlZITEx8aHX/CDo9XpoNBrlGbDVbcxGoxHDhw/H5MmT0bp161LTq9t4y8I7qldhFy9eRHFxcanH5Hh6euL48eMWqurBMBqNmDBhAjp16oQ2bdoAADIzM2FnZ1fqIdWenp7IzMy0QJX3b9WqVThw4AD27dtXalp1G+/JkyexcOFCTJw4Ef/617+wb98+vPbaa7Czs0N4eLgyprI+31VxvG+//TYMBgNatmwJa2trFBcX4/3330dYWBgAVLvx3sqcsWVmZsLDw8Nkuo2NDWrUqFHlxw/cPB9yypQpGDp0qPKQ4eo25jlz5sDGxgavvfZamdOr23jLwlBFVcLYsWNx5MgR7N6929KlPDBnz57F66+/jtjYWNjb21u6nAfOaDQiMDAQs2bNAgD4+/vjyJEjWLRoEcLDwy1cnfrWrFmDFStW4LvvvkPr1q2RkpKCCRMmoG7dutVyvPR/CgsL8fzzz0NEsHDhQkuX80AkJyfj008/xYEDB6DRaCxdjsXw8F8VVqtWLVhbW5e6+isrKwteXl4Wqkp948aNw+bNm7Fjxw7Ur19faffy8sKNGzeQm5tr0r+qjj85ORnZ2dlo3749bGxsYGNjg/j4eMyfPx82Njbw9PSsVuOtU6cOfH19TdpatWqFM2fOAIAypury+Z48eTLefvttDBkyBH5+fhg+fDjeeOMNREVFAah+472VOWPz8vIqdYFNUVERcnJyqvT4SwLV6dOnERsbq+ylAqrXmH/99VdkZ2fD29tb+ft1+vRpTJo0CY0aNQJQvcZ7JwxVVZidnR0CAgIQFxentBmNRsTFxSE4ONiClalDRDBu3DisX78e27dvh4+Pj8n0gIAA2Nramow/LS0NZ86cqZLj79mzJw4fPoyUlBTlFRgYiLCwMOXf1Wm8nTp1KnWLjD/++AMNGzYEAPj4+MDLy8tkvAaDAYmJiVVyvHl5ebCyMv2Ta21tDaPRCKD6jfdW5owtODgYubm5SE5OVvps374dRqMRQUFBD71mNZQEqvT0dPzyyy+oWbOmyfTqNObhw4fj0KFDJn+/6tati8mTJ2Pbtm0Aqtd478jSZ8rT/Vm1apVotVqJiYmR1NRUGTNmjLi5uUlmZqalS7tvr7zyiri6usrOnTvlwoULyisvL0/p8/LLL4u3t7ds375d9u/fL8HBwRIcHGzBqtV169V/ItVrvElJSWJjYyPvv/++pKeny4oVK8TR0VG+/fZbpc/s2bPFzc1NNmzYIIcOHZJ+/fqJj4+PXL9+3YKVV0x4eLjUq1dPNm/eLBkZGbJu3TqpVauWvPXWW0qfqjzeK1euyMGDB+XgwYMCQD766CM5ePCgcqWbOWPr3bu3+Pv7S2JiouzevVuaNWsmQ4cOtdSQ7uluY75x44b07dtX6tevLykpKSZ/wwoKCpRlVKUx3+tnfLvbr/4TqVrjrQiGqmrgs88+E29vb7Gzs5MOHTrIb7/9ZumSVAGgzFd0dLTS5/r16/Lqq6+Ku7u7ODo6yrPPPisXLlywXNEquz1UVbfxbtq0Sdq0aSNarVZatmwpS5YsMZluNBpl2rRp4unpKVqtVnr27ClpaWkWqvb+GAwGef3118Xb21vs7e2lcePG8u9//9vkC7Yqj3fHjh1l/r6Gh4eLiHlju3TpkgwdOlScnZ1Fp9PJyJEj5cqVKxYYjXnuNuaMjIw7/g3bsWOHsoyqNOZ7/YxvV1aoqkrjrQiNyC238yUiIiKiCuE5VUREREQqYKgiIiIiUgFDFREREZEKGKqIiIiIVMBQRURERKQChioiIiIiFTBUEREREamAoYqIHpru3btjwoQJli6jSrhx4waaNm2KvXv3WqyGrVu3ol27dsqjdIjo7hiqiKhKmzlzJtq1a/dAlr1r1y4888wzqFu3LjQaDX744Yd7zhMTEwONRgONRgMrKyvUr18fI0eORHZ2tsm0O71OnToFAFi0aBF8fHzQsWNHk+Xv2LED//znP1G7dm3Y29ujSZMmGDx4MHbt2mX2uPz8/PDyyy+XOe2bb76BVqvFxYsX0bt3b9ja2mLFihVmL5voUcZQRUR0B9euXUPbtm2xYMGCcs2n0+lw4cIF/PXXX/jyyy+xZcsWDB8+HIMHD8aFCxeUV3BwMEaPHm3S1qBBA4gIPv/8c0RGRpos94svvkDPnj1Rs2ZNrF69GmlpaVi/fj06duyIN954w+z6IiMjsWrVKly/fr3UtOjoaPTt2xe1atUCAERERGD+/PnlGj/RI8vCj8khokfI7c8yzM/Pl0mTJkndunXF0dFROnToYPJctOjoaHF1dZX169dL06ZNRavVSq9eveTMmTPKdNzh2ZCnT5+Wvn37ipOTk7i4uMigQYNMHjQ+Y8YMadu2rSxfvlwaNmwoOp1OBg8eLAaDoczaAcj69evvOcaSmm/1/vvvi5WVlcnDwMvaHiX27dsnVlZWJrWcPn1abG1t5Y033ihzvUaj0eT9r7/+Kp07dxZ7e3upX7++jB8/Xq5evSoiIn///bfY2dnJN998YzLPyZMnRaPRyJYtW0zWC0D+/PPPe46d6FHHPVVEZDHjxo1DQkICVq1ahUOHDmHQoEHo3bs30tPTlT55eXl4//33sXz5cuzZswe5ubkYMmQIAGDw4MGYNGkSWrdurezpGTx4MIxGI/r164ecnBzEx8cjNjYWJ0+exODBg03Wf+LECfzwww/YvHkzNm/ejPj4eMyePVv1cTo4OMBoNKKoqMis/r/++iuaN28OFxcXpe37779HYWEh3nrrrTLn0Wg0yr9PnDiB3r17Y+DAgTh06BBWr16N3bt3Y9y4cQCAWrVqoV+/fli6dKnJMmJiYlC/fn306tVLafP29oanpyd+/fVXs8dL9KhiqCIiizhz5gyio6Oxdu1adOnSBU2aNMGbb76Jzp07Izo6WulXWFiIzz//HMHBwQgICMCyZcuwd+9eJCUlwcHBAc7OzrCxsYGXlxe8vLzg4OCAuLg4HD58GN999x0CAgIQFBSE5cuXIz4+Hvv27VOWbTQaERMTgzZt2qBLly4YPnw44uLiVB1neno6Fi1ahMDAQJOQdDenT59G3bp1Tdr++OMP6HQ6eHl5KW3ff/89nJ2dldfhw4cBAFFRUQgLC8OECRPQrFkzdOzYEfPnz8fy5cuRn58P4OYhwJ07dyIjIwMAICJYtmwZwsPDYWVl+tVQt25dnD59usLbgOhRwVBFRBZx+PBhFBcXo3nz5ibBID4+HidOnFD62djY4PHHH1fet2zZEm5ubjh27Ngdl33s2DE0aNAADRo0UNp8fX1LzdeoUSOToFOnTh1kZ2ff99j0ej2cnZ3h6OiIFi1awNPTs1wne1+/fh329val2m/dGwUAoaGhSElJwY8//ohr166huLgYAPD7778jJibGZLuGhobCaDQqIerJJ59E/fr1lQAbFxeHM2fOYOTIkaXW6+DggLy8PLPrJ3pU2Vi6ACJ6NF29ehXW1tZITk6GtbW1yTRnZ+eHUoOtra3Je41Go8rtA1xcXHDgwAFYWVmhTp06cHBwKNf8tWrVUvY6lWjWrBn0ej0yMzOVvVXOzs5o2rQpbGxM/5RfvXoVL730El577bVSy/b29gYAWFlZISIiAsuWLcPMmTMRHR2NHj16oHHjxqXmycnJQe3atcs1BqJHEfdUEZFF+Pv7o7i4GNnZ2WjatKnJ69ZDXEVFRdi/f7/yPi0tDbm5uWjVqhUAwM7OTtlDU6JVq1Y4e/Yszp49q7SlpqYiNzcXvr6+D3hkNwNL06ZN0bhx43IHKuDmtjl+/DhERGl77rnnYGtrizlz5txz/vbt2yM1NbXUdm3atCns7OyUfiNHjsTZs2exbt06rF+/vtTVhgCQn5+PEydOwN/fv9zjIHrUMFQRkUU0b94cYWFhGDFiBNatW4eMjAwkJSUhKioKP/74o9LP1tYW48ePR2JiIpKTkxEREYF//OMf6NChA4Cbh/AyMjKQkpKCixcvoqCgACEhIfDz80NYWBgOHDiApKQkjBgxAt26dUNgYKDZNV69ehUpKSlISUkBAGU9Z86cUXVb3K5Hjx64evUqjh49qrR5e3vjww8/xKefforw8HDs2LEDp06dwoEDB5RbHpTs8ZsyZQr27t2LcePGISUlBenp6diwYYNyonoJHx8fPPHEExgzZgy0Wi0GDBhQqpbffvsNWq0WwcHBD3DERNUDQxURWUx0dDRGjBiBSZMmoUWLFujfvz/27dunHKICAEdHR0yZMgUvvPACOnXqBGdnZ6xevVqZPnDgQPTu3Rs9evRA7dq1sXLlSmg0GmzYsAHu7u7o2rUrQkJC0LhxY5P5zLF//374+/sre2kmTpwIf39/TJ8+XZ0NcAc1a9bEs88+W+o8rPHjx+Pnn3/G33//jeeeew7NmjXD008/jYyMDGzduhV+fn4AgMceewzx8fH4448/0KVLF6Xm209+B26esH758mW88MILZZ7HtXLlSoSFhcHR0fHBDJaoGtHIrfuXiYgqkZiYGEyYMAG5ubmWLuWhO3ToEJ588kmcOHHioZ1jdruLFy+iRYsW2L9/P3x8fCxSA1FVwj1VRESV0GOPPYY5c+YoV+tZwqlTp/DFF18wUBGZiVf/ERFVUhERERZdf2BgYLnOQSN61PHwHxEREZEKePiPiIiISAUMVUREREQqYKgiIiIiUgFDFREREZEKGKqIiIiIVMBQRURERKQChioiIiIiFTBUEREREamAoYqIiIhIBf8PjWRavoF+EIUAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "fill, bins, edges=plt.hist(lep1_pt_filtered, bins=100, range=(0,150), label=\"lepton 1: PT, PT<40GeV\", color=\"r\")\n",
    "\n",
    "ax.set_ylabel(\"Entries\")\n",
    "ax.set_xlabel(\"lepton1 PT(GeV)\")\n",
    "ax.set_title(\"Example 1d histogram: Filtered\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c6139db7",
   "metadata": {},
   "source": [
    "## hist1d: Comparing two histograms "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "b7005e3d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "\n",
    "#Add the histograms here \n",
    "fill, bins, edges=plt.hist(lep1_pt, bins=100, range=(0,150), label=\"lepton 1: PT\", color=\"g\", alpha=0.5)\n",
    "fill, bins, edges=plt.hist(lep1_pt_filtered, bins=100, range=(0,150), label=\"lepton 1: PT, PT<40GeV\", color=\"r\", alpha=0.5)\n",
    "\n",
    "\n",
    "ax.set_ylabel(\"Entries\")\n",
    "ax.set_xlabel(\"lepton1 PT(GeV)\")\n",
    "ax.set_title(\"Example 1d histogram: Filtered\")\n",
    "plt.legend()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "679911c5",
   "metadata": {},
   "source": [
    "## hist1d: Showing histogram statistics from the python array object directly "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "907aa8ed",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "mean:  48.2660032\n",
      "rms: 58.77952819136949\n",
      "integral:  2500000\n",
      "max bin entry #:  2481654\n"
     ]
    }
   ],
   "source": [
    "rms = np.sqrt(np.mean(np.square(lep1_pt)))\n",
    "mean = np.mean(lep1_pt)\n",
    "integral = len(lep1_pt)\n",
    "max_bin=np.argmax(lep1_pt)\n",
    "\n",
    "print(\"mean: \", mean)\n",
    "print(\"rms:\", rms)\n",
    "print(\"integral: \", integral)\n",
    "print(\"max bin entry #: \", max_bin)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2f31bc2e",
   "metadata": {},
   "source": [
    "## hist2d: Drawing 2d histogram object "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "5952c443",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([[0., 0., 0., ..., 0., 0., 0.],\n",
       "        [0., 0., 0., ..., 0., 0., 0.],\n",
       "        [0., 0., 0., ..., 0., 0., 0.],\n",
       "        ...,\n",
       "        [0., 0., 0., ..., 1., 0., 0.],\n",
       "        [0., 0., 0., ..., 4., 1., 0.],\n",
       "        [0., 0., 0., ..., 3., 1., 0.]]),\n",
       " array([  0. ,   1.5,   3. ,   4.5,   6. ,   7.5,   9. ,  10.5,  12. ,\n",
       "         13.5,  15. ,  16.5,  18. ,  19.5,  21. ,  22.5,  24. ,  25.5,\n",
       "         27. ,  28.5,  30. ,  31.5,  33. ,  34.5,  36. ,  37.5,  39. ,\n",
       "         40.5,  42. ,  43.5,  45. ,  46.5,  48. ,  49.5,  51. ,  52.5,\n",
       "         54. ,  55.5,  57. ,  58.5,  60. ,  61.5,  63. ,  64.5,  66. ,\n",
       "         67.5,  69. ,  70.5,  72. ,  73.5,  75. ,  76.5,  78. ,  79.5,\n",
       "         81. ,  82.5,  84. ,  85.5,  87. ,  88.5,  90. ,  91.5,  93. ,\n",
       "         94.5,  96. ,  97.5,  99. , 100.5, 102. , 103.5, 105. , 106.5,\n",
       "        108. , 109.5, 111. , 112.5, 114. , 115.5, 117. , 118.5, 120. ,\n",
       "        121.5, 123. , 124.5, 126. , 127.5, 129. , 130.5, 132. , 133.5,\n",
       "        135. , 136.5, 138. , 139.5, 141. , 142.5, 144. , 145.5, 147. ,\n",
       "        148.5, 150. ]),\n",
       " array([  0. ,   1.5,   3. ,   4.5,   6. ,   7.5,   9. ,  10.5,  12. ,\n",
       "         13.5,  15. ,  16.5,  18. ,  19.5,  21. ,  22.5,  24. ,  25.5,\n",
       "         27. ,  28.5,  30. ,  31.5,  33. ,  34.5,  36. ,  37.5,  39. ,\n",
       "         40.5,  42. ,  43.5,  45. ,  46.5,  48. ,  49.5,  51. ,  52.5,\n",
       "         54. ,  55.5,  57. ,  58.5,  60. ,  61.5,  63. ,  64.5,  66. ,\n",
       "         67.5,  69. ,  70.5,  72. ,  73.5,  75. ,  76.5,  78. ,  79.5,\n",
       "         81. ,  82.5,  84. ,  85.5,  87. ,  88.5,  90. ,  91.5,  93. ,\n",
       "         94.5,  96. ,  97.5,  99. , 100.5, 102. , 103.5, 105. , 106.5,\n",
       "        108. , 109.5, 111. , 112.5, 114. , 115.5, 117. , 118.5, 120. ,\n",
       "        121.5, 123. , 124.5, 126. , 127.5, 129. , 130.5, 132. , 133.5,\n",
       "        135. , 136.5, 138. , 139.5, 141. , 142.5, 144. , 145.5, 147. ,\n",
       "        148.5, 150. ]),\n",
       " <matplotlib.collections.QuadMesh at 0x3fa348dc0>)"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lep2_pt=branches['lep2_pt']\n",
    "\n",
    "plt.hist2d(np.array(lep1_pt), np.array(lep2_pt), bins=[100, 100], range=[[0,150], [0, 150]])\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "13af283d",
   "metadata": {},
   "source": [
    "## hist2d: Beautifying "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 171,
   "id": "1cfec2c7",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "No artists with labels found to put in legend.  Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x4ca4bb490>"
      ]
     },
     "execution_count": 171,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax= plt.subplots()\n",
    "plt.hist2d(np.array(lep1_pt), np.array(lep2_pt), bins=[100, 100], range=[[0,150], [0, 150]])\n",
    "plt.colorbar()\n",
    "ax.set_ylabel(\"lepton 2 PT (GeV)\")\n",
    "ax.set_xlabel(\"lepton 1 PT (GeV)\")\n",
    "ax.set_title(\"Example 2d histogram: lep1 vs lep2\")\n",
    "plt.legend()\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4836f40c",
   "metadata": {},
   "source": [
    "## Graph: Making a Graph "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "311d90db",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x3fa650310>]"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.clf()\n",
    "fig, ax= plt.subplots()\n",
    "ax.set_title(\"Graph\")\n",
    "plt.plot([3,5,7.2], [2.1,2.9,3.5])\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "12629b38",
   "metadata": {},
   "source": [
    "## hist fit : Fitting the Z mass peak "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "1590066e",
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy.optimize import curve_fit"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a7cb72e1",
   "metadata": {},
   "source": [
    "## Getting the Z mass branch"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 175,
   "id": "225aaf70",
   "metadata": {},
   "outputs": [],
   "source": [
    "Z_mass=branches[\"Z_m\"]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 176,
   "id": "2477fa73",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "counts, edges, _= plt.hist(Z_mass, bins=200, range=(50,200), label=\"Z mass\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "83eae058",
   "metadata": {},
   "source": [
    "## hist fit: Preparing the fit in Gaussian Function "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "bf88263a",
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy.optimize import curve_fit\n",
    "\n",
    "#create a gaussian function for fitting \n",
    "def gauss(x, *p):\n",
    "    A, mu, sigma = p\n",
    "    return A*numpy.exp(-(x-mu)**2/(2.*sigma**2))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0b3e9019",
   "metadata": {},
   "source": [
    "## hist fit: Define X, y, bins from the 1d histogram "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "id": "bde24487",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Fit data xdata/ydata\n",
    "counts, edges, _= plt.hist(Z_mass, bins=200, range=(50,200), label=\"Z mass\")\n",
    "bins=np.linspace(0,100, 200)\n",
    "xdata=(edges[:-1]+edges[1:])/2\n",
    "ydata=counts"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d58fdaa6",
   "metadata": {},
   "source": [
    "## histfit: Fit the histogram"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 186,
   "id": "e624552b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy.optimize import curve_fit\n",
    "\n",
    "#create a gaussian function for fitting \n",
    "def gauss(x, *p):\n",
    "    A, mu, sigma = p\n",
    "    return A*np.exp(-(x-mu)**2/(2.*sigma**2))\n",
    "\n",
    "\n",
    "# Get the fitted curve\n",
    "optimizedParameters, pcov = curve_fit(gauss, xdata, ydata, p0=[2000000., 100., 1.]);\n",
    "y_fit=gauss(xdata, *optimizedParameters)\n",
    "\n",
    "#Drawing the fit curve over the original histogram\n",
    "counts, edges, _= plt.hist(Z_mass, bins=200, range=(50,200), label=\"Z mass\")\n",
    "plt.plot(xdata, y_fit, label=\"fit\");"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "af776137",
   "metadata": {},
   "source": [
    "## hist fit: Beautifying "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 189,
   "id": "38cd791c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "counts, edges, _= plt.hist(Z_mass, bins=200, range=(50,200), label=\"Z mass\")\n",
    "plt.plot(xdata, y_fit, label=\"fit\");\n",
    "ax.set_xlabel(\"pt(GeV)\", fontsize=15)\n",
    "ax.set_ylabel(\"Events \", fontsize=15)\n",
    "ax.legend()\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "158e4394",
   "metadata": {},
   "source": [
    "## hist fit: Getting the fit parameters "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "id": "b3f1964d",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Fitted amp =  224833.95003746863\n",
      "Fitted mean =  90.75921756252049\n",
      "Fitted standard deviation =  2.777861533290021\n"
     ]
    }
   ],
   "source": [
    "print('Fitted amp = ', optimizedParameters[0])\n",
    "print('Fitted mean = ', optimizedParameters[1])\n",
    "print('Fitted standard deviation = ', optimizedParameters[2])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f00987b3",
   "metadata": {},
   "source": [
    "# EXTREME BEAUTIFYING (bonus material)\n",
    "## A.k.a: How to make my matplotlib plots look like ROOT plots? \n",
    "## Example 1d histogram"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "67ca48c7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x1000 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import mplhep as hep\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "fill, edges, _=plt.hist(lep1_pt, bins=100, range=(0,150), label=\"lepton 1: PT\", color=\"g\")\n",
    "\n",
    "ax.set_ylabel(\"Entries\")\n",
    "ax.set_xlabel(\"lepton1 PT(GeV)\")\n",
    "ax.set_title(\"Example 1d histogram\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "17761e0a",
   "metadata": {},
   "source": [
    "## Using mplhep histplot and the built-in ATLAS style and label"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "id": "492f9b17",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/var/folders/50/rhj1rsj9317d9pfht5v6w4s80000gn/T/ipykernel_44684/3333250534.py:30: UserWarning: Matplotlib is currently using module://matplotlib_inline.backend_inline, which is a non-GUI backend, so cannot show the figure.\n",
      "  fig.show()\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 800x600 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import mplhep as hep\n",
    "#hep.style.use(hep.style.CMS)\n",
    "hep.style.use(hep.style.ATLAS)\n",
    "\n",
    "fill, edges, bins=plt.hist(lep1_pt, bins=100, range=(0,150), label=\"lepton 1: PT\", color=\"g\", log=True)\n",
    "plt.clf()\n",
    "\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(10, 5))\n",
    "hep.histplot(\n",
    "    fill,\n",
    "    bins=edges,\n",
    "    histtype=\"step\", #\"fill\"\n",
    "    color=\"w\",\n",
    "    alpha=1,\n",
    "    edgecolor=\"r\",\n",
    "    label=\"lep1 pt\",\n",
    "    ax=ax,\n",
    ")\n",
    "\n",
    "\n",
    "ax.set_xlabel(\"pt(GeV)\", fontsize=15)\n",
    "ax.set_ylabel(\"Events \", fontsize=15)\n",
    "ax.set_xlim(0, 150)\n",
    "ax.legend()\n",
    "hep.atlas.label()\n",
    "\n",
    "#hep.atlas.label(\"Preliminary\", data=True, lumi=50, year=2017)\n",
    "\n",
    "fig.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bfd5833f",
   "metadata": {},
   "source": [
    "## Matplotlib: 2d histogram "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "id": "674e5860",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "fill, x_edges, y_edges, _=plt.hist2d(np.array(lep1_pt), np.array(lep2_pt), bins=[100, 100], range=[[0,150], [0, 150]])\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c59b857d",
   "metadata": {},
   "source": [
    "## mplhep: 2d histogram (CMS format)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "id": "486c1b5f",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(exptext: Custom Text(0.0, 1, 'CMS'),\n",
       " expsuffix: Custom Text(0.0, 1.005, 'Preliminary'))"
      ]
     },
     "execution_count": 63,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.clf()\n",
    "hep.style.use(hep.style.ATLAS)\n",
    "hep.hist2dplot(fill, x_edges, y_edges)\n",
    "hep.cms.label(\"Preliminary\", data=True, lumi=50, year=2017)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d4d0cf5f",
   "metadata": {},
   "source": [
    "## Matplotlib: fitted histogram"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "id": "9c583612",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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/vqZPn65169Z5bvx75ZVXdPXVV6tHjx6aMmWKevfurVWrVunKK6/UP//5T40fP17GGN14441atWqVzj77bF177bU6ePCg/vCHP+jjjz/W+++/r5SUlHAtYdQhGAMAAAThgQceUFFRkS699FJ9//vf7/T3uVwu7du3T5988okyMjJUVVWlr3zlK3r99dd1zTXXaNmyZUpOTtbhw4d19tlna926dZ7v/fLLL7VmzRpde+21evHFFz07Zbz//vuaMGGCVq1a5QnGDodDWVlZ2rlzpwYMGCBJ2rx5s8aPH6/ly5dr/PjxOnDggFatWtVqPLvdrt/85jfatm2bzjvvvBCtWPSLi2BcUFCg9PR0v9fY7XbZ7fYIzQgAAMSzv//97/rFL36hfv366Q9/+IOSkgLrTr3//vuVkZEhSerevbsuuugi/fnPf9ZDDz2k5OTGeDZo0CDl5uZq+/btnu9LTk7Ws88+q4svvthn+7gxY8ZIatwdw+3YsWOy2WxKTU31fC0/P1/vvfeezjjjDM81kpSenu4z3oMPPqibbrpJZ555ZkA/V0ccDoccDoffa5xOZ0hfMxBxEYwLCws7/b8vAAAAuuLEiRO6+eabZYzRH/7wB2VnZwc8xjnnnOPzuTskjxo1qs2vuw0aNEjf+c53JEkNDQ0qLi7W+++/r+XLl7d6jWnTpumRRx7RuHHjdNttt+nyyy/XeeedpwkTJniuGTNmjM4++2y98MILOnTokG6++WZNmTJFQ4cO1cCBAwP+uTrSmUJlUVGRZTt7cPMdAABAJxlj9J3vfEcHDx7U3XffrSuuCO7gkG7dugX0dW9Lly7VRRddpJ49e+rcc8/Vj370I2VlZbW6btGiRfrf//1f2Ww2PfDAA8rPz9egQYN09913q7S0VFJjpXj9+vW68cYb9Y9//EM33XSThg0bpvPPP1/PP/+8jDFB/XyximAMAADQSc8884xeffVV5ebm6mc/+1nEX/+vf/2rZs6cqYaGBv3yl7/U/v37deDAARUWFra6Njk5Wffee692796tTz75RE899ZTOPvts/frXv9a3v/1tz3XDhg3Tn/70Jx07dkxvvvmm7rvvPh04cECzZs3S73//+0j+eJaLi1YKAM2i+UhWAIhlX3zxhb7//e8rPT1dy5cv7/D+pnB4+eWXlZSUpLfeesvnhL19+/b5XFdfX6+f/vSnys3N1dVXX63c3Fzl5ubq7rvv1iWXXKK33npLJ0+e1J49e/T666/rpptu0siRI3XppZfq0ksv1d13360RI0Zo1apVntaNREAwBgAA6EBNTY1uuOEGVVdX67e//a2++tWvWjKPiooKuVwulZeXe4Kx0+nUvHnzPI+lxmrx008/rZSUFF1yySXq2bOnpMYt5srKypSZmamePXvq2LFjeuihh1RaWupzOMmJEydkjNGQIUMi/BNai2AMAADQgaefflpbt25VZmamPv/8c/33f/93u9feddddysnJCcs8rr76av35z3/WuHHjNGXKFKWnp+vvf/+7+vbtqyFDhuj111/XggUL9Nhjj2n27Nl67LHHNHbsWE2dOlXl5eV69913dfz4cT3wwANKTk7WxRdfrJEjR+pXv/qVtm7dqnPOOUfbtm3Tli1b1L17d333u98Ny88RrQjGAAAgJEoeD+5GtFjgvlmtsrJSv/rVr/xeO3369LAF42uvvVbl5eX6v//7P/3tb3/TqFGjNGvWLD344IN66623ZLfbtXPnTkmNN9+dccYZWrJkiQoLC5WamqpRo0bp5z//uW655RZJUmZmptasWaOFCxdq48aN2rRpkwYOHKjp06fr/vvvT6g9jCXJZmL4dkP3dh4ffvgh27UBTZp7jI1+nPwnjbLt14L62/TuY7OsnBYAAJ1iZb6jYgzEqW8kbdOc5L9Jkm41b0iaZel8AACIdmzXBsSpbyVt9TweZdtv3UQAAIgRBGMgTk3xCsZnJx2ybiIAAMQIWimAODRExzQq6cvmz20ndO4PX1a1GvfcjOcbZAAACBYVYyAOTen2cauvnW07bMFMAACIHQRjIA5NSWorGB+0YCYAAMQOgjEQZ1JVp4uSPm319bNt9BkDAOAPwRiIM19P+kKZthpJ0lbX2Z6vcwMeAAD+EYyBOOPdRvF8/b+r3jT+NR9JKwUAdNnixYuVnZ2trKwsLVq0SDabTYsWLbJ6WgiRuNiVoqCgQOnp6X6vsdvtstvtEZoRYB33/sUNxqa/u87XftNfZ9mO6CzbIUlGks3K6QFAzDpw4IDuvvtuDRgwQDNnztSECRN0zz33aMKECZ5rxo0bp7KyMpWUlFg30SjmcDjkcDj8XuN0OiM0m9biIhgXFhZyJDQgSeVfKiepsTJcZM7RKWVptxmss3REmbYaDdJJHVZfiycJALFp165dMsboRz/6kb73ve9Jki677DKLZxVbOlOodB8JbQVaKYB4Un7A8/BfTf3Fu02252v0GQNA8IwxkqQePXpYPBOEC8EYiCdVxz0PT5iekqRdZrDna/QZA0BwZs2apW9961uSpFtvvVU2m03r16+XzWbTH/7wB5WUlMhms+njjz/W3r176T2OUXHRSgGgSdUJz8NSNVY0dru8KsZs2QYAQbn00ktVUVGhl19+WZdcconGjBnj83zPnj11zz33aOnSpaqpqdHs2bN9eo8RG6gYA/HEKxifNE3BmIoxAHTZjBkzdNddd3keP/nkkz7Pn3HGGXryySc1ZMgQz2P6j2MPFWMgnnhXjJuC8XH11CnTXT1tVfQYAwif302WKo5aPQv/sgZIczdYPQtEMYIxEE+qTnoenpD75hCbdpnBOt+2U0Ntx5WuGmvmBiC+VRyVTvN/pRDbCMZAPGmjYiw17kxxvnZKks6yHY74tAAkgKwBVs+gY7EwR1iKYAzEE69gXKYsz+NdrmypW+NjbsADEBa0KCAOcPMdEE+agnGZyVSDOwnLd8u2s7kBDwCANhGMgXjSFIxPGt/N5w+bMzyP+9pORXRKAJBoamtrrZ4CgkQwBuJFQ53kLJfUvIexW7kyPY972SojOi0ASCTdu3fXoUOH9L3vfU9r1661ejoIEMEYiBfVpZ6HLSvG5cYrGItgDADh8j//8z8aPHiwnnvuOf3rX/+yejoIEDffAfGinR0pJOkUFWMA6LIpU6bIGNPu55L0n//5n/rP//zPSE8NIULFGIgX3qfetWilaFA3nTYZkqgYAwDQHoIxEC/8VIwl6ZS6S5J62qoiNiUAAGIJwRiIF34qxpJ0qqnPmIoxAABtIxgD8aKDirF7Z4o0W51UVx2xaQEAECvi4ua7goICpaen+73GbrfLbrdHaEaABapOeh623JVC8t2ZQtVlUkpGBCYFAEAzh8Mhh8Ph9xqn0xmh2bQWF8G4sLBQeXl5Vk8DsFblcc/DlvsYSy2CsbNM6pkdgUkBANCsM4XKoqIi5efnR2hGvmilAOKFd4+xn1YKSY0VYwAA4INgDMSLpmDcYGyeHSi8taoYAwAAHwRjIF409RiXqodMG3+1fcIyFWMAAFohGAPxoqli3NaOFFLLinF5JGYEAEBMIRgD8aCuWqpr3J+4rT2MpRY9xrRSAADQCsEYiAdeW7W1VzE+1XK7NgAA4INgDMQDnx0pstq8hIoxAAD+EYyBeOB96l17rRTegZmKMQAArQQdjHft2qWZM2cqNzdXmZmZys3N1ezZs7V3796Axzp06JBuv/12DRkyROnp6Ro1apQefPBBVVdzbC3QKT4V455tXuKzKwUVYwAAWgnq5LtVq1bphhtuUFVVlSRpwIAB+vTTT/Xpp5/qpZde0h//+EdNnz69U2Pt3btXEyZM0OHDhyVJvXr1UnFxsR5++GGtXbtWb7/9dofHPQMJr4PjoCWpVimqNqnKsNVSMQYAoA0BV4ydTqfuuusuVVVV6fbbb1d5ebmOHDmiEydOyG63q6KiQrNnz9bRo0c7Nd6dd96pw4cPa+rUqdqzZ49KS0u1ZcsWDR06VJs2bdITTzwR8A8FJJxOtFJIXn3GVIwBAGgl4GC8dOlS7d+/X7m5uXr66afVs2fj/7Y944wz9Otf/1rTp09XaWmpnnrqqQ7HOnTokN544w31799fK1as0IgRI2Sz2ZSfn6+XX35ZkvT888/LGBPoNIHE0sFx0G6evYzZxxgAgFYCDsafffaZJOnmm2+WzWbzec5ms+nWW2+VJH300UcdjrV8+XK5XC5NmzZN/fr183lu/PjxGjNmjHbt2qXNmzcHOk0gsXgH485UjOuqpPracM8KAICYEnAw3rNnjyRp+PDhbT6fnZ0tSSopKelwrPXr10uSLrvssjafd3993bp1Ac4SSDDerRSdqRhLtFMAANBCwMH4Bz/4gV5//XVNmTKlzec/+OADSdKwYcM6HOvIkSOSpJycnDafHzlypCR1ul8ZSFjum++6papS7d+sekoc8gEAQHsC3pXim9/8ZrvPHT16VI8//rik9qvALa+XpN69e7f5fJ8+fXyua09FRYVOnTrV4et1JC0tTWlpaV0eB4g4d8W4e1+p0tbuZVSMAQDhUlNTo5qami6PU1FREYLZBCeo7dra8tlnn+maa67RgQMHNHjwYM2ZM6fD7+lsMD527JjfcSZPnhzYZNuxcOFCLVq0KCRjARFjjFR1vPFx975+Ly3nWGgAQJg89thjeuihh6yeRpd0ORhXVVXpkUce0RNPPKG6ujplZmbqtdde8+xW4Y97t4n2dp1oaGiQJNXW+r9JaMOGDRo3blxgE28D1WLEpNoKqaHp70j3M/xeyiEfAIBwWbBgge69994uj7N169aQFT0D1aVg/N577+nGG2/03JA3duxY/fnPf9a5557bqe8fOHCgSkpKVFZW5qkOeystLfVc509WVlangjgQl7wO91CG/2BMxRgAEC6haknNysoKwWyCE9SR0MYYPfbYY7r44ou1Z88eZWRk6JFHHtGWLVs6HYqlxhPzpOYA3FJZWZkkadCgQcFME0gMNV799em9/F5a7n3zHXsZAwDgI6iK8VNPPaX7779fkjRhwgStWLFCZ555ZsDjuCvBO3bsUF5eXqvni4uLfa4D0IYar5sU0trfqk3i5jsAAPwJuGL84Ycf6r777pMkzZgxQ2+//XZQoVhqvmluzZo1bT7/5ptvSpImTZoU1PhAQqj1Csap/v/3U7m8nqeVAgAAHwEH49///vee0+r+9Kc/KT29/T1TOzJjxgwlJSVp1apVrXae2LRpk7Zv366cnBxddNFFQb8GEPdqTjc/TusgGFMxBgCgXQEH45UrV0qS5s+f3+pI6PaMHj1ao0eP9nyvW3Z2ti6//HKdOHFC119/vfbt2ydjjLZs2aKCggJJ0uzZszv9OkBCCqhizM13AAC0J6Ae4/r6eh0+fFiSNHPmTHXr1q3day+88EItXbpUkrR9+3ZJUnl565t9HA6HtmzZonXr1mn48OHq1auX57qJEyeGZNsPIK55VYzvfmWnpAHtX6oU1ZhkpdnqqRgDANBCQMH45MnmbaFKSkr8Xjt06NBOjTl8+HAVFRXpwQcf1F//+ledOHFCOTk5uvHGG/XDH/6QvYWBjnjdfHdaGR1cbNMpZaq/yqkYAwDQQkDBeMCAAe0exuFPR98zePBgPffccwGPC0BSbXPFuNJ03PNfbjLV31ZOxRgAgBaC2scYQBTxqhhXdlgx9uozrq2QGurDNSsAAGIOwRiIdV4331WocxVjDw75AADAg2AMxDrvirEJoGIs0U4BAIAXgjEQ67pSMeYGPAAAPAjGQKxr2q6twdjkVGqHl59S9+ZPnKXhmhUAADGHYAzEuqZgXKEMSR0fhkPFGACAthGMgVjX1EpR0YkdKSTpFD3GAAC0iWAMxLqmm+86s4ex5Fsx/vmr74dlSgAAxKKADviIVgUFBUpP9x8K7Ha77HZ7hGYERIjLJdVVSurcHsaSdNqrxzjL5gzLtAAAaIvD4ZDD4fB7jdNp3XtTXATjwsJC5eXlWT0NIPK8d6ToZMXYu7LcXQRjAEDkdKZQWVRUpPz8/AjNyBetFEAsqw3s1LvG65qDcSbBGAAAD4IxEMt8joPuXMW4yqtinEkrBQAAHgRjIJY1bdUmSac7ceqdRMUYAID2EIyBWFbbHIw7XTFWmudxdyrGAAB4EIyBWObdStHJinG9klVjUiRJmaoJy7QAAIhFBGMglnnvStHJirH3tZmqDvmUAACIVQRjIJZ59Rh3tmIsNd+ARysFAADNCMZALAuyYlzpqRjTSgEAgBvBGIhlNYHvYyw134DX3VYjuRpCPi0AAGIRwRiIZV6tFBUBtFL4XFtbGcoZAQAQswjGQCwLspWiyvtagjEAAJIIxkBsC/Lmu0qvvYwJxgAANCIYA7GsNvAjoSXfY6G9DwkBACCREYyBWFYTXDD2uVGPijEAAJIIxkBsa6oYV5tUNahbp7+t0tBKAQBASwRjIJY1VYwDufFOannzXUX7FwIAkECSrZ5AKBQUFCg93X8wsNvtstvtEZoRECFN/cGBbNUmSRXerRQ1BGMAQGQ4HA45HA6/1zid1p3KGhfBuLCwUHl5eVZPA4gsYzy7UgRyuIckVdFKAQCwQGcKlUVFRcrPz4/QjHzRSgHEqvoayVUvKbAb71pdTzAGAEASwRiIXd6HewTYSuHbY8x2bQAASARjIHZ5H+4RYMW4wlAxBgCgJYIxEKt8KsZd2ZWCYAwAgEQwBmKX124SFeoe0LdWGrZrAwCgJYIxEKu8j4MOsGLs03rBdm0AAEgiGAOxq+aU52HXDviglQIAAIlgDMQur0pvoPsYu5SkapPa+AnBGAAASQRjIHZ1oZVC8mqnYLs2AAAkEYyB2OVz811gFWPJK0xTMQYAQBLBGIhdXpXeYCrGnj5jgjEAAJIIxkDs6mrF2B2M651SQ32oZgUAQMwiGAOxqjZErRQtxgIAIFERjIFYVdO1VopKtmwDAMAHwRiIVV1spWAvYwAAfBGMgVjlvvnO1k01Sgn42ytNmtdYtFIAAEAwBmKVu2KcliXJFvC3+xwKQjAGAEDJVk8gFAoKCpSe7r/H0m63y263R2hGQAS4w2xqj6C+3ffmO1opAADh53A45HA4/F7jdDojNJvW4iIYFxYWKi8vz+ppAJHlqRgHF4yr5N1KQTAGAIRfZwqVRUVFys/Pj9CMfNFKAcQil0uqawqzaVlBDeFzw14Nx0IDAEAwBmKRd09wanDBuIpWCgAAfBCMgVjkE4wzgxqiklYKAAB8EIyBWOQdZENSMWZXCgAACMZALPIJxsFWjNmuDQAAbwRjIBbVVTU/Tu0e1BC0UgAA4ItgDMSiELRSsI8xAAC+CMZALPIOsinBVozZrg0AAG8EYyAWhaDHuFqpbY8HAECCIhgDscinxzi4YGyUpErT1GdMMAYAgGAMxCTvXSSCbKWQpCo19RkTjAEAIBgDMam26xVjSapw34BXS48xAAAEYyAWhaCVQqJiDACAN4IxEItCcCS0JFW6g3FDrVRf28VJAQAQ2wjGQCzybqXoQo9xJcdCAwDgQTAGYlEIDviQvCrGLccEACABJVs9gVAoKChQenq632vsdrvsdnuEZgSEWZ13MO7CrhScfgcAiCCHwyGHw+H3GqfTGaHZtBYXwbiwsFB5eXlWTwOInBCcfCdRMQYARFZnCpVFRUXKz8+P0Ix80UoBxCJ3j3FyhpTULehhfIMxW7YBABIbwRiIRe5Wii60UUi0UgAA4I1gDMQid4jtwlZtEq0UAAB4IxgDscjdSpESymDMdm0AgMRGMAZijcvl1UrRxWDs3UpRQzAGACQ2gjEQa+qrPQ//sa9aI364OuihqpXW/In3MdMAACQggjEQa7x6gau8g20QqozX99NjDABIcARjINb4BGP/B9t0xCdYE4wBAAkuJMF42bJlstls+uKLL0IxHAB/vFoefCq+QfAJ1rRSAAASXMiCcbAeeugh2Ww2vx/Hjx8PxTSB+BDKijGtFAAAeHTpSGiXy6Xf/e53Wr06+Jt/iouLJUmDBw9WRkZGm9ckJdHxAXiEsseYm+8AAPAIKhivXbtWy5cv1zvvvKOdO3d2aQLu79+4caNGjhzZpbGAhOAdjE3XKsbVHPABAIBHUMF49erVWrJkSUgmUFxcrNTUVI0YMSIk4wFxz7vHuIsV4zolS0nJkqueYAwASHhB9SjMmzdPH330kecjOzs7qBcvLS3VyZMnlZOTo27dugU1BpBwvE6o62owltR8SAitFACABBdUxXjIkCEaMmSI5/PU1NSgXtzdXzxq1Ci99NJLWrp0qfbs2aOzzjpLF1xwgb73ve+pV69eQY0NxK1a710putZKIanxWGlnuc+4AAAkoi7dfNdV7v7i1atX69VXX/V8/ZNPPtFrr72mZ555RitWrNA3vvENv+NUVFTo1KlTXZ5PWlqa0tJCUIEDwimErRSSpNTuTePSSgEACF5NTY1qamq6PE5FRUXHF4WJpcHYXTGuq6vT/PnzNXPmTA0bNkxbt27V/PnztXnzZt1www3atm2bunfv3u44kydPDsl8Fi5cqEWLFoVkLCBsvFspQlIxbvq7RY8xAKALHnvsMT300ENWT6NLLA3GgwYN0nXXXadLLrlEc+bM8Xx9ypQpevfdd/XVr35VO3fu1OLFizV//vx2x9mwYYPGjRvX5flQLUZMqA11xbipx9hVL9XXSsnBtUYBABLbggULdO+993Z5nK1bt4as6BkoS4Px3LlzNXfu3DafS01N1bx58zR37lxt2rTJ7zhZWVnq2bNnOKYIRJ8Q7mMsqTkYS43tFARjAEAQQtWSmpWVFYLZBCeqT87Izc2VJG3bts3imQBRpC50+xhLam6lkLgBDwCQ0KI6GLv7iq38lwMQdUJcMX7509I2xwYAINFYFowrKio0duxY5ebmtnv34Y4dOyRJY8aMieTUgOjm02Pc9YpxlfE+FppgDABIXJYF46ysLA0cOFCffvppm6foGWO0ePFiSaHbdQKIC03htc50azy5rosqfY6FppUCAJC4IhKMR48erdGjR2vlypU+X7/jjjskSfPnz9fSpUvlcrkkSYcPH9asWbO0ceNGnX/++Zo1a1YkpgnEhqZ2h5DceCep2qdiTDAGACSuiATj7du3a/v27SovL/f5ekFBge688045nU7NnDlTmZmZGjBggLKzs/XCCy8oJydHL7zwAsdFA96aqrqhaKNoHMcrGNNjDABIYJbffLd48WKtXLlSkydPVp8+feR0OvXNb35TCxYs0NatWzV27FirpwhEF3fF2ISoYkwwBgBAUoj2MS4pKfH7vDGm3edsNpumT5+u6dOnh2IqQHwzxtNjHKpWiipaKQAAkBQFFWMAAWiobTyhTqFrpfC9+Y6KMQAgcRGMgVjivYdxOFopqBgDABIYwRiIJXXeexiHoZWCijEAIIERjIFYUhvi46AlVdNKAQCAJIIxEFtCfBx0q3FopQAAJDCCMRBLfIJxiG6+M1SMAQCQCMZAbPHuMWYfYwAAQopgDMSS2grPQ1opAAAIrZAc8GG1goICpaf7/9/Kdrtddrs9QjMCwqTWe1eK0LRSNKibakyy0mz1PuMDABBqDodDDofD7zVOpzNCs2ktLoJxYWGh8vLyrJ4GEH5haKWQGkN2mio8p+oBABAOnSlUFhUVKT8/P0Iz8kUrBRBLfFopQlMxbhyrKWRTMQYAJDCCMRBLakN/wIckVburz9x8BwBIYARjIJaE4YAPyStk11VKxoRsXAAAYgnBGIgldaE/4EPy2rLNuKT6mpCNCwBALCEYA7EkDCffSS0O+WDLNgBAgiIYA7HEu8c4HK0Uks8NfgAAJBKCMRBLwtVK4b31GztTAAASFMEYiCWeVgqbnEoN2bC+p9+xMwUAIDERjIFY4q7mpnSXCeFf32rvPZGpGAMAEhTBGIgl7opxamZIh630bqXg5jsAQIIiGAOxxN3mkNo9pMNy8x0AAARjILa4K8Ypoa0Y00oBAADBGIgdrgap3tn4OMStFFW0UgAAQDAGYoZ3YA1xK0W1TysFu1IAABITwRiIFd6BNTUrpENX+rRSEIwBAImJYAzECu/AmhLim+9opQAAQMlWTyAUCgoKlJ7u/3hcu90uu90eoRkBYeBTMQ71zXe0UgAAws/hcMjhcPi9xul0Rmg2rcVFMC4sLFReXp7V0wDCy6fHOMQ334mKMQAg/DpTqCwqKlJ+fn6EZuSLVgogVnjvLxzyVgq2awMAgGAMxIraCFWMOeADAJCgCMZArAhjK0U1rRQAABCMgZjhXckNcTB2KUlOk9L0OgRjAEBiIhgDscI7sIa4x1jyaqeoY1cKAEBiIhgDsSKMB3xIUpX7kA+2awMAJCiCMRArvCu5IT4SWvI65INWCgBAgiIYA7EijCffSd6tFFWSMSEfHwCAaEcwBmKFz3ZtoW+lqPbsZWykuuqQjw8AQLQjGAOxItytFBwLDQBIcARjIFb43HwX2u3apJbHQhOMAQCJh2AMxAqf7drCEIw5FhoAkOAIxkCscFeMu6VJ3ZJDPnwVp98BABIcwRiIFe72hjD0F0stjoWmxxgAkIAIxkCscIfVMLRRSF77GHu/FgAACYRgDMQKd99vGG68k7xOvpNopQAAJCSCMRALjAl7KwXbtQEAEl3o7+CxQEFBgdLT0/1eY7fbZbfbIzQjIMTqnZJxNT4Ow+EeUstdKQjGAIDQczgccjgcfq9xOp0Rmk1rcRGMCwsLlZeXZ/U0gPDx2aotPBXjSvYxBgCEWWcKlUVFRcrPz4/QjHzRSgHEgtqK5seR6DGmYgwASEAEYyAWeN8MF64eY3alAAAkOIIxEAu8WimWbD6mET9cHfKXqKRiDABIcARjIBZ4tVL47B4RQr4331W0fyEAAHGKYAzEAq9WCp8AG0JUjAEAiY5gDMQCr6AatooxwRgAkOAIxkAs8AnG4akY1ylZSkpp9XoAACQKgjEQC7yDsQlPxVhS81ZwBGMAQAIiGAOxoC78rRSSmk/VIxgDABIQwRiIBV7btYWrlUISFWMAQEIjGAOxIOKtFBWSMeF7HQAAohDBGIgFdeG/+U6S13HTRqqrDt/rAAAQhQjGQCyIdMW4xWsCAJAICMZALPDpMY5UMOb0OwBAYiEYA7EgAvsYS6JiDABIaARjIBY09Rg3GJtqlBK+13Fv1yb5HEMNAEAiSLZ6AqFQUFCg9HT/VTS73S673R6hGQEh1tRK0VgttoXvdWilAACEkcPhkMPh8HuN0+mM0Gxai4tgXFhYqLy8PKunAYRPU1tDWPuLJVopAABh1ZlCZVFRkfLz8yM0I1+0UgCxoKmVIqw7Uki+rRQEYwBAgiEYA7HAUzEO4413ku57dafXa9JKAQBILARjINo11EkNtZLC30pR6R28qRgDABIMwRiIdj6He4S3YuwTvAnGAIAEQzAGol1dhA73UIseZoIxACDBEIyBaBepU+/UooeZHmMAQIIhGAPRziughruVgh5jAEAiIxgD0S6irRTewZiT7wAAiYVgDES7CN58V0krBQAggYUkGC9btkw2m01ffPFFUN9/6NAh3X777RoyZIjS09M1atQoPfjgg6qurg7F9IDY5h2Mw1wxrlZqm68LAEAiCMmR0MuWLQv6e/fu3asJEybo8OHDkqRevXqpuLhYDz/8sNauXau3335b6enhrZIBUc0nGIf374JRkipNmjJtNQRjAEDC6VLF2OVy6be//a1Wr14d9Bh33nmnDh8+rKlTp2rPnj0qLS3Vli1bNHToUG3atElPPPFEV6YIxD7vHuNwHwktr/BNMAYAJJiggvHatWs1e/ZsfeUrX9Gdd94Z9IsfOnRIb7zxhvr3768VK1ZoxIgRstlsys/P18svvyxJev7552WMCfo1gJgXwVYKSap09zHTYwwASDBBBePVq1dryZIl2rlzZ5defPny5XK5XJo2bZr69evn89z48eM1ZswY7dq1S5s3b+7S6wAxLYKtFD6vQcUYAJBgggrG8+bN00cffeT5yM7ODurF169fL0m67LLL2nze/fV169YFNT4QFyLcSlHprko31EgNdWF/PQAAokVQN98NGTJEQ4YM8Xyemprq5+r2HTlyRJKUk5PT5vMjR46UJB09ejSo8YG44H3ARwQqxtUtj4XO6B321wQAIBqEZFeKYLkDb+/evdt8vk+fPj7XtaeiokKnTp3q8nzS0tKUlhb+ihwQkAgeCS212Mu4ropgDADolJqaGtXU1HR5nIoK6+5xiYlgfOzYMb/jTJ48OSTzWbhwoRYtWhSSsYCQieABH1KLqjR9xgCATnrsscf00EMPWT2NLrE0GLt3m2hv14mGhgZJUm1trd9xNmzYoHHjxnV5PlSLEZXqLNqVQmJnCgBApy1YsED33ntvl8fZunVryIqegbI0GA8cOFAlJSUqKyvzVIe9lZaWeq7zJysrSz179gzLHAHLebVSVEcgGFMxBgAEI1QtqVlZWSGYTXBCciR0sAYMGCCpOQC3VFZWJkkaNGhQpKYERB93OE3OkCsCf2UrW958BwBAgrA0GLsrwTt27Gjz+eLiYp/rgITkbqVI7R6Rl/OtGNNKAQBIHJYGY3f/yJo1a9p8/s0335QkTZo0KWJzAqKOu2qbmhmRl6uklQIAkKAsDcYzZsxQUlKSVq1a1WrniU2bNmn79u3KycnRRRddZNEMgSjg7jFOiUww9tn5gmAMAEggEQnGo0eP1ujRo7Vy5Uqfr2dnZ+vyyy/XiRMndP3112vfvn0yxmjLli0qKCiQJM2ePVs2my0S0wSij8vl1UoRqYqxd48xrRQAgMQRkV0ptm/fLkkqLy9v9ZzD4dCWLVu0bt06DR8+XL169fJcN3HixJBs+wHELK/joK3pMaZiDABIHJa2UkjS8OHDVVRUpDlz5ig7O1vV1dXKycnRwoULtXbtWvYWRmLzrtimRWZLwiqfXSmq2r8QAIA4E5KKcUlJid/n2zvAw23w4MF67rnnQjEVIL7UnG5+nBqZfR25+Q4AkKgsrxgD8MM7GKdFJhhXcfIdACBBEYyBaObTStEjIi9JxRgAkKgIxkA0s6CVgpvvAACJimAMRLOayFeM65SsWtOt8RNaKQAACYRgDESzWu8e48gEY8mrakzFGACQQAjGQDTzrhhHqJVC8uozJhgDABIIwRiIZhbsSiF57UxBMAYAJJCInHwXbgUFBUpPT/d7jd1ul91uj9CMgBBpdcBHdURe1nMsdF2lZIzEsewAgBBwOBxyOBx+r3E6nRGaTWtxEYwLCwuVl5dn9TSA0GvVSnEkIi/rqRgbl1TvlFIyIvK6AID41plCZVFRkfLz8yM0I1+0UgDRrOZU8+NItlLI+1ho2ikAAImBYAxEMwsO+JBa7mXMlm0AgMRAMAaimVW7UhgO+QAAJB6CMRDNmnalqDJpGnH/GxF7WU6/AwAkIoIxEM2a2hgqFNmb3yp9eoxppQAAJAaCMRDNmirGFcb/doShVkUrBQAgARGMgWhljKdaW6nIBmOf16uhYgwASAwEYyBa1TslV70kqcJ0j+hL+958RzAGACQGgjEQrbwqtRURrhj79DR7H0sNAEAcIxgD0aq2OZBGupXitLwq1N6HjAAAEMcIxkC08qrUVprI7kpx2lAxBgAkHoIxEK28WilOR3i7NlopAACJiGAMRCuvm94qI7xdm8/NfgRjAECCIBgD0cq7lSLCFWOfCrWTHmMAQGIgGAPRyisYR7qVokYpUlJy0ycEYwBAYiAYA9HKwlYKySal9Wx8SCsFACBBEIyBaGVhK4UkKa1Hq3kAABDPkq2eQCgUFBQoPd1/Rc1ut8tut0doRkAIeO9KEeHt2iRRMQYAhJzD4ZDD4fB7jdPpjNBsWouLYFxYWKi8vDyrpwGEloUHfEhqrhg31Ej1NVJyWuTnAACIK50pVBYVFSk/Pz9CM/JFKwUQrbwqxpa0UqT39JoLVWMAQPwjGAPRyntXCktaKXp4zYWdKQAA8Y9gDEQr710prGylkKgYAwASAsEYiFZNrRQ1JkX1FtwO8PSmY82fcMgHACABEIyBaNXUvhDpwz3cfNo3qBgDABIAwRiIVk2tFJE/3KORTyAnGAMAEgDBGIhWTa0UluxIIanCp2JMKwUAIP4RjIFoVF/buH+wrGulqBDBGACQWAjGQDTy3pHCslaK7s2f0EoBAEgABGMgGtVYfOqduPkOAJB4CMZANLL6cA+1bKUgGAMA4h/BGIhGtRYfBy2pwtBKAQBILARjIBrVWHzqnVrc9McBHwCABEAwBqJRbXOFtsKiVooapajOdGv6hGAMAIh/BGMgGnm1LlRY1Eoh2ZqrxrRSAAASAMEYiEY11m/XJnlVqwnGAIAEkGz1BEKhoKBA6en+w4Pdbpfdbo/QjIAu8rr5zrqKsVTh3suYVgoAQAg4HA45HA6/1zidzgjNprW4CMaFhYXKy8uzehpA6HgFUat6jCWvG/AaaqX6Gik5zbK5AABiX2cKlUVFRcrPz4/QjHzRSgFEoyjYlUJqEcpppwAAxDmCMRCNoqSVwmfLNtopAABxjmAMRKMa67dra/XaVIwBAHGOYAxEo2hppZDX6Xcc8gEAiHMEYyAauQ/4SEpWjVIsm8ZpKsYAgARCMAaikTuEpvWQZLNsGr49xgRjAEB8IxgD0cjdSpHaw9Jp+PYY00oBAIhvBGMgGrl3pUjLsnQaFexKAQBIIARjINo01El1VY2P03paOpXT3jff0UoBAIhzBGMg2lSXeR6+VVJj3TzEdm0AgMRCMAaijbPM87BcmdbNQ9x8BwBILARjINp4VYxPGWuDcYVhH2MAQOIgGAPRhooxAACWIBgD0carYlxuccW4RilSUnLTJ1SMAQDxjWAMRBvvirHFwViyNe+MQcUYABDnCMZAtPGuGFvcSiGp6fQ9EYwBAHGPYAxEG6+KcZmx9oAPSV4VY1opAADxLdnqCYRCQUGB0tPT/V5jt9tlt9sjNCOgC6pLPQ+jqmLcUCvV10jJadbOBwAQsxwOhxwOh99rnE5nhGbTWlwE48LCQuXl5Vk9DSA0oujmO0nNwVhqbKcgGAMAgtSZQmVRUZHy8/MjNCNftFIA0carleJUNFSM072OpaadAgAQxwjGQLRpqhg7TYpqlGrtXCTfijGHfAAA4hjBGIg2TRXjqOgvllq3UgAAEKcIxkC0aaoYR0V/sUQwBgAkDIIxEE0a6qS6SklRVDFO79382Kv/GQCAeEMwBqJJtO1IIUkZfZofe20lBwBAvCEYA9HEZw/jKDjcQ/INxlUnrZsHAABhRjAGoolXq0K0VIyv/P225k+qCcYAgPgVdDA+dOiQbr/9dg0ZMkTp6ekaNWqUHnzwQVVXV4dyfkBiicJWijJ53XxHxRgAEMeCCsZ79+5VXl6enn32WR08eFDp6ekqLi7Www8/rKlTpwZ0lN9DDz0km83m9+P48ePBTBOIPd4V4yi5+a7UeLV0UDEGAMSxoILxnXfeqcOHD2vq1Knas2ePSktLtWXLFg0dOlSbNm3SE0880emxiouLJUmDBw/WyJEj2/xISqLjAwkiCivGlUpXrenW+EkVN98BAOJXcqDfcOjQIb3xxhvq37+/VqxYoX79+kmS8vPz9fLLL+vCCy/U888/rwceeEA2m63D8Xbu3ClJ2rhxo0aOHBnodID4EoUVY8mmMvXQAJVRMQYAxLWAS7HLly+Xy+XStGnTPKHYbfz48RozZox27dqlzZs3d2q84uJipaamasSIEYFOBYg/UVgxlqQy91zoMQYAxLGAg/H69eslSZdddlmbz7u/vm7dug7HKi0t1cmTJ5WTk6Nu3boFOhUg/vhs1xY9wbjUfQNefbVUxw22AID4FHArxZEjRyRJOTk5bT7vboc4evRoh2O5+4tHjRqll156SUuXLtWePXt01lln6YILLtD3vvc99erVK9ApArErCrdrk6QynxvwSqWUDOsmAwBAmAQcjN2Bt3fv3m0+36dPH5/r/HH3F69evVqvvvqq5+uffPKJXnvtNT3zzDNasWKFvvGNb/gdp6KiQqdOnerE7P1LS0tTWlpal8cBgubVSnEqmirG3sG46qTUc7B1kwEARKWamhrV1NR0eZyKiooQzCY4YQvGx44d63Asd8W4rq5O8+fP18yZMzVs2DBt3bpV8+fP1+bNm3XDDTdo27Zt6t69e7vjTJ48OcCfom0LFy7UokWLQjIWEJSminG1SVWNUq2dixefvYy5AQ8A0IbHHntMDz30kNXT6JKAg7Exxue/LTU0NEiSamtrOxxr0KBBuu6663TJJZdozpw5nq9PmTJF7777rr761a9q586dWrx4sebPn9/uOBs2bNC4ceMC+CnaRrUYlmuqGEdTf7HURsUYAIAWFixYoHvvvbfL42zdujVkRc9ABRyMBw4cqJKSEpWVlXmqw95KS0s913Vk7ty5mjt3bpvPpaamat68eZo7d642bdrkd5ysrCz17NmzE7MHoteIH67WtrQT6m6Lrv5iSSoVh3wAAPwLVUtqVlZWxxeFScC7UgwYMEBScwBuqaysTFJjNbircnNzJUnbtm3r8lhAtEtRvbrbGnuzoq1iXEbFGACQAAIOxu5K8I4dO9p83t033JmKcUfcfcVW/ssBiJReqvQ8jrqKsfHuMeb0OwBAfAo4GLt7PtasWdPm82+++aYkadKkSX7Hqaio0NixY5Wbm9vu3Yfu8D1mzJhApwnEnF625r8H0bQjhdSilYKKMQAgTgUcjGfMmKGkpCStWrWq1c4TmzZt0vbt25WTk6OLLrrI7zhZWVkaOHCgPv30Uy1ZsqTV88YYLV68WFLodp0Aolk0V4zLDLtSAADiX8DBODs7W5dffrlOnDih66+/Xvv27ZMxRlu2bFFBQYEkafbs2bLZbJ7vGT16tEaPHq2VK1f6jHXHHXdIkubPn6+lS5fK5XJJkg4fPqxZs2Zp48aNOv/88zVr1qxgfz4gZvSyRW8w9ul5ppUCABCnAg7GkuRwODRw4ECtW7dOw4cPV58+ffT1r39dX375pSZOnNhqq47t27dr+/btKi8v9/l6QUGB7rzzTjmdTs2cOVOZmZkaMGCAsrOz9cILLygnJ0cvvPACx0UjIfhUjKOslaJOyTptmk67o5UCABCnggrGw4cPV1FRkebMmaPs7GxVV1crJydHCxcu1Nq1awPaqmPx4sVauXKlJk+erD59+sjpdOqb3/ymFixYoK1bt2rs2LHBTBGIOdFcMZa8dqaglQIAEKcC3sfYbfDgwXruuec6dW17h4FIks1m0/Tp0zV9+vRgpwLEBe+KcZmibyeWUmVpmI41tlK4XFJSUP+uBgAgavHOBkSJmKkYG5dUU+7/YgAAYhDBGIgSPsE4ynqMJalUXjtT0GcMAIhDBGMgSvSS1z7GUVgxLvU+/Y6dKQAAcYhgDESJaK8Yl3HIBwAgzhGMgSjhvvmu2qSqVikWz6a1Ug75AADEOYIxECXcFeNorBZLLVopqBgDAOIQwRiIBsaoT1OPcZmJvq3apBatFPQYAwDiEMEYiAbOcqXZ6iRJx0wviyfTNp/ATisFACAOBX3ARzQpKChQenq632vsdrvsdnuEZgQEqOKo5+Ex9bZuHn6UcvMdAKCLHA6HHA6H32ucTmeEZtNaXATjwsJC5eXlWT0NIHgVRzwPj5re1s3DjzJuvgMAdFFnCpVFRUXKz8+P0Ix80UoBRAOvYBytrRSnlSElNf1bmooxACAOEYyBaOATjHtbNw+/bDrW0F2SdODQQYvnAgBA6MVFKwUQq0b8cLUk6YfJ7+m7TX8bo7XHWGpsp+hvO6U+Om31VAAACDkqxkAU6G9r3v4sWnuMpeYb8DJtNVJ9jcWzAQAgtAjGQBTor3LP42jtMZZabNlGnzEAIM4QjIEo0N9WJkmqMSk6FaUn30ktj4XmkA8AQHwhGANRoL+tsWJ8TL0k2aydjB8+exmzZRsAIM4QjAGLJate/WynJEXzjhSNfCrGlcesmwgAAGFAMAYs1lenPI+jub9Ykg6bPs2fnDpk3UQAAAgDgjFgMXd/sRTdO1JI0hGd0fzJqS+tmwgAAGFAMAYsNsArGEd7K8Uh4xWMT1MxBgDEF4IxYDH3jXdSdB/uIUmHvYPxKU6/AwDEF4IxYLH+KvM8jvZWihqlqtS9lzHBGAAQZwjGgMX6+7RSRPfNd5LXDXinD0nGWDsZAABCiGAMWCyWeowlr3aKhlqp6oS1kwEAIIQIxoDFvHuMjyv6K8Y+N+CxMwUAII4kWz2BUCgoKFB6errfa+x2u+x2e4RmBLRvxA9X+3zu7jEuNVmqVYoFMwrMEZ9gfEjKPs+6yQAAYorD4ZDD4fB7jdPpjNBsWouLYFxYWKi8vDyrpwEEwXhaKWKhv1iSDrGXMQAgSJ0pVBYVFSk/Pz9CM/JFKwVgoSxVK8NWKyk2+oullhVjdqYAAMQPgjFgIe/+4qNRvoexm3eP8Utvf9CqNQQAgFhFMAYsNMBrD+NYqRh7tmuTNMh20sKZAAAQWgRjwEKxtoexJJ1SpqpMmiRpkK3U4tkAABA6BGPAQt7BONpPvWtm87RTUDEGAMQTgjFgIe8e42Mx0mMsSUea2il62KqVpSqLZwMAQGgQjAELxdqpd27eW7YNpJ0CABAn4mIfYyDatbdzQ3+vm+9ip5XCd8s22ikAAPGCijFgIXcrRa3ppnJlWjybzvPesi2bYAwAiBMEY8BCA5tCZWN/sc3SuQTiiNeWbQNFKwUAID4QjAGL9FSl+tpOS5L2uQZaPJvAHDJ9PY+zbScsnAkAAKFDMAYsMsJ22PN4j4mtYMwhHwCAeEQwBixylu2Q5/Eek23hTAJ3Qr1UZ7pJ4pAPAED8IBgDFjk7ybtiHFvB2KUkHVFj1ZiKMQAgXrBdG2AR31aKQRbOJDhHTB8NtR1XP9spjfrhq6pViiSp5PErLJ4ZAADBIRgDYdLe3sVu7laKBmPTvhjrMZZ8t2wbYCvVATPAwtkAANB1tFIAljA6q6lifMD0V10M/hvV+5CPwWJnCgBA7Iu9d+M2FBQUKD093e81drtddrs9QjMC/OuvcvWwVUuKvf5itxKvKvfIpIP6oOFcC2cDAIgFDodDDofD7zVOpzNCs2ktLoJxYWGh8vLyrJ4G0Gm+O1LEXn+xJO1wDfM8HmU7YOFMAACxojOFyqKiIuXn50doRr5opQAsMCIptm+8k6QdZojn8Vds+y2cCQAAoUEwBixwti12t2pzK1VPHTW9JUmjkqgYAwBiX1y0UgDRoqOdKNxi+XAPb9tdQzWgW5n62U6pr8p1Qr2snhIAAEGjYgxYwB2Ma0yKDpq+Fs8meDuMV58xVWMAQIyjYgxEWJJcGm47KknaawbIFcP/Pt1uhnoef8W2X+/pqz5Vcw77AADEkth9RwZi1GDbCaXZ6iTFdhuF1HJnCm7AAwDENirGQBd1tq/YLV76iyWp2HtnClopAAAxjooxEGHewXh3jG7V5lapDO139Zfk3svYWDshAAC6gGAMRNhZ3lu1uWK7Yiw19xn3sFVzNDQAIKYRjIEI8w7GJTFeMZZa7kxBnzEAIHbRYwwEIdC+Ym/nNPXinjYZOhYH+/5ud3nvTHFA63W+hbMBACB4BGMggobajmmIrbHd4F+usyTZrJ1QCLSqGDc0P8fWbQCAWEIrBRBBF9o+9zze5Bpj4UxCZ7fJVr1p/FXyFRs7UwAAYhcVY6CTutI+4TYhaZvn8SbXuV0eLxrUKFUlZpBybAd1ju1LJckV04eWAAASF+9eQARNSGqsGDtNij42Iy2eTei4d6ZIs9X5bEcHAEAsoWIM+BGKKrHbUNsxDUs6Jkkqcp2jGqWGbGyrfeY6S1d0+0CSdFHSZ9rVMKTVNfQbAwCiXVwE44KCAqWnp/u9xm63y263R2hGQGvx2F/s9rZrnOZrhSTp35I+0h8bLrV4RgCAaORwOORwOPxe43Q6IzSb1uIiGBcWFiovL8/qaSBOhLJK7C0e+4vdPjdn6kvTV0NsJ/SNpM/UXU5Vyf8/VgEAiaczhcqioiLl5+dHaEa+6DEGIiRe+4sb2bSuoXH/4jRbvS5O+pffq0f8cLXnAwCAaBEXFWOgq8Id0OK5v9jt76483aS3JElTkz7Sm66vWzwjAAACQzBGwopktTKe+4vd3nONUZVJU3dbjaZ2+0i2epcM/1MKABBDCMZIKFb9r/t47i92q1Gq3nWN1aXdPlR/W7nOs+3WVpPT4fexWwUAIFoQjBH3rO5jzZBT/69bkaR47S9u9ndXni7t9qEkaWq3Im2t7zgYAwAQLQjGiFtWB2K3a7ttUB9bhSTpr64L47K/2G1dwzgppfHx/0v6SL/UtQF9P9VjAICVCMaIedESgNvSTQ26Lbl5fr+rv9LC2YTfMfXRx66zdV7Sbo1J2quRti+1y7Q+7KMzCMkAgEgjGCMmRXMY9nZF0vsaajsuSXq74TxtN2daPKPw+2vDhTovabckaUHyMn2nbp7FMwIAoHOCDsaHDh3SwoULtXr1ap04cUJnnnmmrr/+ei1YsEAZGRmWjYX4EisBuG1Gc5Nf93z2u4ZvWziXyHmh4RLdmvyGBtlK9f+6faRvNvxL/3DldmlMqscAgEgIKhjv3btXEyZM0OHDhyVJvXr1UnFxsR5++GGtXbtWb7/9dodHNIdjLMSW2A69HZuY9Km+mrRXkrTVdXbc7kbRUrXS9fO66/TL1KclSQ8kL9UVtY/KFaKt29r7c0NgBgB0VVDvVHfeeacOHz6sqVOnas+ePSotLdWWLVs0dOhQbdq0SU888URExqqtrfX5LzqvpqZGixYtUk1NTcjG9D7NrDMfscrU16ns3aUy9XXtXtNTFXog+U+ez39X/21JtgjMLjqsdE3Ux66zJUnnJu3Ttd3WS+rc2gUrHv5s+ROOv7OJgrULHmsXPNYueFbmO5sxxgTyDYcOHdLQoUPVt29fbdu2Tf369fM898EHH+jCCy/UyJEjVVxcLJvNfxDo6lgbN27U5MmTtWHDBk2aNCmQHyPhnTp1Sr169VJ5ebl69uzp+Xq8hopQctVUaf+T12rYf/9ZSWndWz2frhr9MfUxfT1phySp2DVE/177s5BVTGPF121f6KW0n0iSTposzay9X586B/hdu3CL5apye39n0THWLnisXfBYu+BZme8CbqVYvny5XC6Xpk2b5hNkJWn8+PEaM2aMtm3bps2bN2v8+PERGwvBIwyHTrLq9ZuUpzyh+Ljpqdvq7k24UCxJm81o/aXhQl3Z7X2dYavQn1N/ottrb9NyC+fUmT/rsRyeAQBdE/C79fr16yVJl112WZvPu7++bt26iI4VKg6HI2rHC+VYYxe+6fPfUDhd9JeQjRXq8UI9t5Zscunfkz7Q66kPaGq3rZKkUyZDt9T+UCUmO+Lzi5a1e6Butj5yNR7ykWVzypHya0lSL50Oydyk0K9d30vvCFlLUKh/n4Raovy+CwfWLnisXfBYu/ALOBgfOXJEkpST0/aJViNHNp7qdfTo0YiOFSrx/Icu3D2Yp4tCO24oxwv13CRpoE7q0qTNmpf8ov6WukC/S31S5ybtk9R4wt1ttT/QZ2aEJfOLlrUrUw9dX/uAVjc0/h+fbrbGzq11aT/Qr1N+pauTNuo8205lqtqS+YViPH+h+fsLfxbV/fbx/Psu3Fi74LF2wWPtwi/gVgp3SO3du3ebz/fp08fnukiNFZVO7pbK90svTO/ExZ1o9S7fr3d/fFGnXrqt7u6lKc2PK131+ndJz6U8oayUbkGP6W2G7biWpfxUNlvn29Ztfn7u623H9GLqTzo9lr8xr7Md04rUhzr92r7XNbZIpKlO6apVN53ScEl/T5+nnqmtV2Wra6QerpupD81XAp57PKpRqu6qu1v7zArdqFWSpDRbvb7dbZO+3W2T57pKk6ZTytRpk6F6JatBNjUoSUZJalCSXLLJpSQ1mMbHpulP5M2243oh5bGQzTeU43V2rI0/7viaypp6SdI/fnqpMtNCswV91bESbfzxxKC+d9I5/Vp/sdO/7zohlGNVN93sufwGKSPF/7WdFar5ue+fKT8g/fGqro8X6rHca/fijBCuXQjnF+rxWLvoGOuL46EZJwhhC8bHjh0L+1hOp1OStHXr1g5fqzNSU1PldDpVVFQUkvF0vFjOqkoV/eOtkAznrKpS96OfhGSshtrGUJh+7DOltxHugmGrdyrt6L9CMlbjeDVKOfJZyMZKPrIt6O93Sapu+qhoWruthxuU5bV2X7iGaXnDVG1xnaPGOL2z8+PX16rmcOevj+R4oRrrJ/q6nqvLlvQLbTiUqiFpzhZXVDV9tJak9v/3VlK9U1lHt3Z5fuEYL6Rza/pzl3nsXz5/7rqiK/MraqNe4ayqCunvu1CN5fk7u2l9yNYulPPzjPfu2qgby7N2770d2rUL0fxCPR5r17WxNm1Yo9qGro+19XBjIcCd8yLKBCgjI8NIMidPnmzz+b/85S9GkpkyZUrYx1qyZIlRY6mVDz744IMPPvjgg484+liyZEmn82moBFwxHjhwoEpKSlRWVuap6HorLS31XBfusa688kotWbJEgwcPDskhIKmpqUpNTe3yOAAAAImmtrY2JHsPO51OHTx4UFdeeWUIZhWYgIPxgAEDVFJSotLSUp111lmtni8rK5MkDRo0KOxj9evXT7Nmzer03AEAAID2BLwrhbt6u2PHjjafLy4u9rkuUmMBAAAAXRFwMJ48ebIkac2aNW0+/+abjfviduakklCOBQAAAHRF0EdC9+nTR59//rn69+/veW7Tpk36xje+oZycHO3YsaPTR0KHYiwAAACgKwKuGGdnZ+vyyy/XiRMndP3112vfvn0yxmjLli0qKCiQJM2ePdsnyI4ePVqjR4/WypUruzwWAAAAEA4BV4wlae/evbrwwgs9J9f16tVL5eXlkqSJEyfqrbfeUlpaWvOLNAXbJUuWtLpZLtCxAAAAgHAIuGIsScOHD1dRUZHmzJmj7OxsVVdXKycnRwsXLtTatWsDCrKhHAsAAAAIVlDBWJIGDx6s5557TgcPHlRNTY2Ki4u1aNGiNvcTNsbIGNPu1mqdHWvr1q1KTk7W9ddf3+Y4hw4d0u23364hQ4YoPT1do0aN0oMPPqjq6upgf8yY5XK59Oyzz2r8+PHKysrSsGHDdO2112rXrl1tXs/aNTty5Ii++93vKjc3V1lZWcrPz9e8efN0+vTpNq9P5LVbtmyZbDabvvjii3avCWZ9EmFNO7N2u3bt0syZM5Wbm6vMzEzl5uZq9uzZ2rt3b7vfw9q1raP3D4m1cwv0/UNi7dwCff+Q4nftAv39FTXvFRE/UiRIdXV1Ji8vz0gy1113XavnS0pKzKBBgzynpfTq1cvzeMKECaa6utqCWVujoaHBXHPNNT5rkZycbCSZ7t27m82bN/tcz9o1+/DDD03fvn2NJGOz2cyAAQM8a3HmmWeavXv3+lyf6Gt3xRVXGEnm888/b/P5YNYnUda0o7V77bXXTPfu3T0/u/efxaysLLNy5cpW38Pata2j9w9jWDu3QN8/jGHt3AJ9/zAmftcu0N9f0fReETPB+PHHH/f8wG39YvuP//gPI8lMnTrV7Nmzx7hcLrNlyxYzdOhQI8n85Cc/sWDW1vj5z39uJJns7GyzceNGU19fbyoqKszs2bONJPPVr37V1NXVea5n7RrV1taa8847z0gyt9xyiykrKzPGGHPw4EFz+eWXG0nmiiuuMC6Xy/M9ibp2DQ0N5je/+Y3n72R7bxTBrE+8r2ln1q66utoMGzbMSDK33367KS8vN8YYc+LECWO3240k06dPH3PkyBGf72Pt2tbR+4cxrJ1boO8fxrB2xgT3/mFMfK5dML+/oum9IiaC8fbt2016enq7v9gOHjxokpKSTP/+/c2xY8d8nnv//feNJDNy5MhWfyDj0enTp02fPn1McnKy+fDDD32eq6mpMeecc46RZP75z38aY1g7b++8846RZM455xxTW1vr89zJkydNz549jSTz5ZdfGmMSc+3WrFljbr31VpOTk+P5+9jeG0Uw6xPPaxrI2j333HNGksnNzW31s7pcLjN9+nQjydx///2er7N2bevo/cMY1s4t0PcPY1g7t0DfP4yJ37UL9PdXtL1XBN1jHCkul0u33XabnE6nbrnlljavWb58uVwul6ZNm6Z+/fr5PDd+/HiNGTNGu3bt0ubNmyMxZUv99a9/VWlpqaZOnaq8vDyf51JTU3XPPfdo8uTJKikpkcTaefvkk08kNR48k5KS4vNcnz59dMEFF0iSPv74Y0mJuXarV6/WkiVLtHPnzg6vDWZ94nlNA1m7zz77TJJ08803t9qu0maz6dZbb5UkffTRR56vs3atdeb9Q2Lt3AJ9/5BYO7dA3z+k+F27QH9/Rdt7RdQH42eeeUYbN27UbbfdpilTprR5zfr16yVJl112WZvPu7++bt26cEwxqvz973+XJP3Xf/1Xm8/b7XatX79eN9xwgyTWzltlZaUkqb6+vs3nXS6Xz3WJuHbz5s3TRx995PnIzs5u99pg1iee1zSQtduzZ4+kxl172uL+Xu+Awtq11pn3D4m1cwv0/UNi7dwCff+Q4nftAv39FW3vFckBf0cEHThwQPPnz1d2drZ+/vOf69VXX23zOvceyDk5OW0+P3LkSEnS0aNHwzLPaLJv3z5J0te+9rVOXc/aNRs3bpwk6a233lJlZaUyMzM9zx06dMjzL8/zzjtPUmKu3ZAhQzRkyBDP56mpqe1eG8z6xPOaBrJ2P/jBDzRnzhxdeOGFbT7/wQcfSJKGDRvm+Rpr56uz7x8Sa+cW6PuHxNq5Bfr+IcXv2gX6+yva3iuitmJsjNEdd9yh06dPy+FwqHfv3u1e6/7B27umT58+PtfFs8OHD0uS+vbtq9/97nfKy8tT9+7dNWLECF111VWeP5BurF2zqVOn6lvf+pYOHDigq666Sh9//LEqKir0z3/+U9/+9rdVWVmpm266Seecc44k1q4jwawPa9rom9/8pq688kr179+/1XNHjx7V448/Lsm3WsLaNQvk/UNi7dwCff+QWDu3QN8/pPhdu0B/f0Xbe0XUVoxffPFF/eUvf9HVV1+tq666yu+1nV2gY8eOhXSO0cj9r6gFCxbolVdekSQNGDBA+/fv1969e/X666/rySef1F133SWJtfPWrVs3vfLKK/qv//ovrV271lMBcJsxY4aeeeYZz+esnX/BrA9r6t9nn32ma665RgcOHNDgwYM1Z84cz3OsXbNA3j8k1s4t0PcPibVzC/T9Q0q8tWvv91e0vVdEZcX4+PHjuvvuu9W7d2/9+te/7vB603SqtWnndOuGhgZJUm1tbegmGaWOHz8uSXrllVdkt9t1/PhxHTlyRKdPn9ajjz4ql8ul++67T9u3b5fE2rX0+uuve24ISE5O1qBBgzzPvfvuu3r//fc9n7N2/gWzPqxp26qqqvSjH/1I559/vj7//HNlZmbqtddeU8+ePT3XsHaNAn3/kFg7t0DfPyTWzlsg7x9S4qxdR7+/ou29IiqD8X//93/r+PHj+sUvftGpmywGDhwoSSorK2vz+dLSUp/r4pn7D9rVV1+txYsXq2/fvpKk7t27a8GCBbr11ltVW1urX/3qV5JYO28rVqzQzTffrKSkJC1btkxVVVU6dOiQTp06pUceeUT79+/Xf/zHf3juPmbt/AtmfVjT1t577z2NHTtWjz76qOrq6jR27Fht3rzZc5e7G2vXKND3D4m1cwv0/UNi7dwCff+QEmPtOvP7K9reK6IuGG/YsEFLly7Vt771Lc2ePbtT3zNgwABJzQvRknvhvP/1Fq/cfwjc26G0dN1110lq3lqGtWtkjNGCBQskSc8++6xuuOEGz5Y7PXr00P3336/77rtPVVVV+tnPfiaJtetIMOvDmjYzxuixxx7TxRdfrD179igjI0OPPPKItmzZonPPPbfV9axdcO8fEmvnFuj7h8TaScG9f0jxvXaB/P6KtveKqAvG7m0+3n77bSUlJclms3k+3H9ZV6xY4flaSUmJ5y/zjh072hyzuLhYUmz/q6uz3H8IvO+k9eb++qFDhySJtWtSWlqqPXv2KCUlRVdeeWWb17i3MNqyZYsk1q4jwawPa9rsqaee0v3336+GhgZNmDBBX3zxhe6//36lpaW1eT1rF9z7h8TauQX6/iGxdlJw7x9SfK9dIL+/ou29IuqCcY8ePTRy5Mg2P9x3OGZmZnq+lpycrMmTJ0uS1qxZ0+aYb775piRp0qRJkfkhLJSbmyup/T8su3fvliSNHj1akli7JhkZGerWrZtM42mQbV7j/rr7fzeydv4Fsz6saaMPP/xQ9913n6TGm3befvttnXnmmX6/h7UL7v1DYu3cAn3/kFg7Kbj3Dyl+1y7Q319R914R8Fl5FlqyZInfI6H79u1rjh496vPce++9ZySZnJycmDtWMRhbt241kszEiRPb/HmvvPJKI8ksXLjQGMPaeRs7dqyRZF566aU2n7/vvvs8Z78bw9oZY8zw4cM7PBI6kPVJpDX1t3Z33HGHkWSmTZvW6Z+VtfOvvfcPY1g7t0DfP4xh7dwCff8wJn7XLtDfX9H2XhEXwdgYY6644gojyUydOtXs3bvXuFwus3nzZjNkyBAjyTz66KMWzNgaX//6140kM2PGDHPkyBFjjDGlpaXmrrvuMpLMwIEDTWlpqed61q6R+89Xnz59zPLly01dXZ0xxpjTp0+bn/70p8Zms5nU1FTz8ccfe74n0deuo4ASzPokypr6W7tBgwYZSebdd98NaEzWrn3+3j+MYe3cAn3/MIa1Mya49w9j4nPtgvn9FU3vFXETjEtKSszAgQONJCPJ9OrVy/N44sSJxul0WjBja3z88cemZ8+enp9/wIABnsd9+vQxb775ps/1rF0jl8tlvvvd73p+9pSUFM9fcPfnzzzzjM/3JPradfQmG8z6JMqatrd2dXV1np93xIgRZuTIke1+zJgxw+d7E33t/OkoGLN2jQJ9/zCGtTMmuPcPY+Jv7YL9/RVN7xVxE4yNMebLL780c+bMMdnZ2SY1NdXk5OSYhQsXmurq6gjP1Hq7d+82s2bNMoMHDzZpaWnma1/7mrntttvMl19+2eb1rF2zdevWmWnTppmRI0eajIwMk5uba26++WazY8eONq9P5LXrTEAJZn0SYU3bW7sjR454frl39DF58uRW4yby2vnT0fuHMaydW6DvH8awdm6Bvn8YE19r15XfX9HyXmEzpp1OcQAAACCBRN2uFAAAAIAVCMYAAACACMYAAACAJIIxAAAAIIlgDAAAAEgiGAMAAACSCMYAAACAJIIxAAAAIIlgDAAAAEgiGAMAAACSCMYAAACAJIIxAAAAIIlgDAAAAEiS/j94f9yNtcPhZAAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Z_mass=branches[\"Z_m\"]\n",
    "\n",
    "\n",
    "counts, edges, _= plt.hist(Z_mass, bins=200, range=(50,200), label=\"Z mass\")\n",
    "xdata=(edges[:-1]+edges[1:])/2\n",
    "ydata=counts\n",
    "#create a gaussian function for fitting \n",
    "def gauss(x, *p):\n",
    "    A, mu, sigma = p\n",
    "    return A*np.exp(-(x-mu)**2/(2.*sigma**2))\n",
    "\n",
    "\n",
    "# Get the fitted curve\n",
    "optimizedParameters, pcov = curve_fit(gauss, xdata, ydata, p0=[2000000., 100., 1.]);\n",
    "y_fit=gauss(xdata, *optimizedParameters)\n",
    "\n",
    "\n",
    "plt.plot(xdata, y_fit, label=\"fit\");\n",
    "ax.set_xlabel(\"pt(GeV)\", fontsize=15)\n",
    "ax.set_ylabel(\"Events \", fontsize=15)\n",
    "\n",
    "ax.legend()\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4029903b",
   "metadata": {},
   "source": [
    "## mplhep: Fitted histogram (ATLAS format)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "id": "7d620db4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Z_mass=branches[\"Z_m\"]\n",
    "\n",
    "\n",
    "counts, edges, _= plt.hist(Z_mass, bins=200, range=(50,200), label=\"Z mass\")\n",
    "xdata=(edges[:-1]+edges[1:])/2\n",
    "ydata=counts\n",
    "#create a gaussian function for fitting \n",
    "def gauss(x, *p):\n",
    "    A, mu, sigma = p\n",
    "    return A*np.exp(-(x-mu)**2/(2.*sigma**2))\n",
    "\n",
    "\n",
    "# Get the fitted curve\n",
    "optimizedParameters, pcov = curve_fit(gauss, xdata, ydata, p0=[2000000., 100., 1.]);\n",
    "y_fit=gauss(xdata, *optimizedParameters)\n",
    "\n",
    "hep.style.use(hep.style.ATLAS)\n",
    "\n",
    "plt.plot(xdata, y_fit, label=\"fit\");\n",
    "\n",
    "ax.legend()\n",
    "hep.atlas.label(\"Work in Progress\", data=True, lumi=50, year=2017)\n",
    "\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.10.8"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}