{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "slideshow": { "slide_type": "skip" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Enabling notebook extension splitcell/splitcell...\n", " - Validating: \u001b[32mOK\u001b[0m\n", "Enabling notebook extension rise/main...\n", " - Validating: \u001b[32mOK\u001b[0m\n" ] } ], "source": [ "!jupyter nbextension enable splitcell/splitcell\n", "!jupyter nbextension enable rise/main\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": { "cell_style": "center", "slideshow": { "slide_type": "slide" } }, "source": [ "\n", "# Tutorial: Lorentz Boost Networks (LBN)\n", "\n", "### Physics-Inspired Autonomous Feature Engineering ([arXiv:1812.09722](https://arxiv.org/abs/1812.09722))\n", "\n", "
\n", "\n", "Martin Erdmann, Yannik Rath, **Marcel Rieger**\n", "\n", "
" ] }, { "cell_type": "markdown", "metadata": { "cell_style": "split", "slideshow": { "slide_type": "slide" } }, "source": [ "### Outline of this tutorial\n", "\n", "1. [LBN introduction](#LBN-introduction)\n", "\n", "2. [Application: Classification task](#Application:-Classification-task)\n", "\n", "3. [LBN introspection](#LBN-introspection)\n", "\n", "4. [Open part](#Open-part)" ] }, { "cell_type": "markdown", "metadata": { "cell_style": "split" }, "source": [ "
" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### LBN introduction" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "-" } }, "source": [ "#### Feature engineering in HEP\n", "\n", "
" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "#### Feature engineering in HEP\n", "\n", "
" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "#### Feature engineering in HEP\n", "\n", "
\n", "\n", "**Observations**\n", "1. Physicists’ crafted high-level features might not exploit all information\n", "2. In practice, it is hard for “standard” DNNs (FCNs) to learn complex features" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "#### Feature engineering in HEP\n", "\n", "- Situation similar to transition **FCNs** → **CNNs**\n", " - Images contain information in translation invariant adjacency
\n", " → *Exploit information by changing the network structure!*\n", " \n", "
\n", "\n", "**→ Encode first-principles of domain (physics) into network structure**" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "#### LBN architecture\n", "\n", "
" ] }, { "cell_type": "markdown", "metadata": { "cell_style": "center", "slideshow": { "slide_type": "slide" } }, "source": [ "#### LBN architecture\n", "\n", "
\n", "\n", "- Only *2 M N* trainable parameters in LBN (usually O(1k))\n", "- Different boosting configurations possible (pairwise, product, etc)\n", "- Generic feature projections, **not tailored** to use case" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "#### LBN architecture: Boosting\n", "\n", "- Lorentz transformation with boost matrix\n", "\n", "
\n", "\n", "- Vectorized formulation to run efficiently on GPUs\n", " \n", "
" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "#### LBN architecture: Feature engineering\n", "\n", "
\n", "\n", "- Extract **generic** features from boosted particles\n", " 1. Simple features, such as $E$, $m$, $p_T$, $\\eta$, $\\phi$\n", " 2. Pairwise features, such as $\\cos(\\measuredangle)$ between all pairs\n", "\n", "- More features possible, but **not necessary**" ] }, { "cell_type": "markdown", "metadata": { "cell_style": "center", "slideshow": { "slide_type": "slide" } }, "source": [ "### Application: Classification task\n", "\n", "In the following, we want distinguish $t\\bar{t}H (H \\rightarrow b\\bar{b})$ and $t\\bar{t} + b\\bar{b}$
\n", "**using only low-level features**, i.e., four-vectors" ] }, { "cell_type": "markdown", "metadata": { "cell_style": "split" }, "source": [ "
" ] }, { "cell_type": "markdown", "metadata": { "cell_style": "split" }, "source": [ "
" ] }, { "cell_type": "markdown", "metadata": { "cell_style": "split", "slideshow": { "slide_type": "slide" } }, "source": [ "#### The dataset\n", "\n", "- Events generated with Pythia
($13$ $TeV$)\n", "- Detector simulation using Delphes (CMS configuration)\n", "- ~800k (~200k) events for training (validation)\n", "- $t\\bar{t}H$ / $t\\bar{t}b\\bar{b}$ $\\approx$ 50/50 %\n", "- Four-vectors ($E$, $p_{x}$, $p_{y}$, $p_{z}$) of
6 jets + ch. lepton + neutrino\n", "- Labels: 0 for $t\\bar{t}b\\bar{b}$, 1 for $t\\bar{t}H$" ] }, { "cell_type": "markdown", "metadata": { "cell_style": "split" }, "source": [ "
\n", "\n", "- Object naming:\n", " - \"bhad\", \"blep\"\n", " - \"lj1\", \"lj2\"\n", " - \"bj1\", \"bj2\"\n", " - \"lep\", \"nu\"" ] }, { "cell_type": "markdown", "metadata": { "cell_style": "center", "slideshow": { "slide_type": "slide" } }, "source": [ "#### Remark: Jet sorting\n", "\n", "
\n", "\n", "- **Option 1**: Use generator information (only for LBN introspection) ←\n", "- **Option 2**: Sorted by $p_T$ (\"real-life\" scenario)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "#### Inspect the data" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "cell_style": "center", "slideshow": { "slide_type": "-" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "eos access: ✗\n", "TF version: 2.0.0\n" ] } ], "source": [ "import os\n", "\n", "import numpy as np\n", "import tensorflow as tf\n", "from lbn import LBN, LBNLayer\n", "\n", "tf.keras.backend.clear_session()\n", "\n", "import tutorial as tut\n", "import plotting as plt\n", "\n", "print(\"TF version: {}\".format(tf.__version__))" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "cell_style": "center" }, "outputs": [], "source": [ "# load data using the tut.load_lbn_data helper (for pt-sorted jets, use sorting=\"pt\")\n", "data_train = tut.load_lbn_data(\"train\", sorting=\"gen\")\n", "data_valid = tut.load_lbn_data(\"valid\", sorting=\"gen\")\n", "\n", "# extract vectors\n", "vectors_train = data_train[\"features\"]\n", "vectors_valid = data_valid[\"features\"]\n", "\n", "# extract labels and apply one-hot encoding\n", "labels_train = tf.keras.utils.to_categorical(data_train[\"labels\"], num_classes=2)\n", "labels_valid = tf.keras.utils.to_categorical(data_valid[\"labels\"], num_classes=2)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "vectors_train shape: (828269, 32)\n", "vectors_valid shape: (207067, 32)\n", "labels_train shape : (828269, 2)\n", "labels_valid shape : (207067, 2)\n" ] } ], "source": [ "# print shapes\n", "print(\"vectors_train shape: {}\".format(vectors_train.shape))\n", "print(\"vectors_valid shape: {}\".format(vectors_valid.shape))\n", "\n", "print(\"labels_train shape : {}\".format(labels_train.shape))\n", "print(\"labels_valid shape : {}\".format(labels_valid.shape))" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "#### Plot some low-level features" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "slideshow": { "slide_type": "skip" } }, "outputs": [], "source": [ "# store feature column indices in locals\n", "import itertools\n", "components = [\"E\", \"px\", \"py\", \"pz\"]\n", "particle_names = [\"bhad\", \"blep\", \"lj1\", \"lj2\", \"bj1\", \"bj2\", \"lep\", \"nu\"]\n", "for i, (n, c) in enumerate(itertools.product(particle_names, components)):\n", " locals()[\"{}_{}\".format(c.upper(), n.upper())] = i" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "cell_style": "split" }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAcAAAAGKCAYAAACb5pF5AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAASdAAAEnQB3mYfeAAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi40LCBodHRwOi8vbWF0cGxvdGxpYi5vcmcv7US4rQAAIABJREFUeJzt3XmclXXd//HXG5RFQWMZFUlCxaVAxULJMpe2+/6V3eGdmVmZ5u1GK5nLz40sxVuzRUoqTTNSK1eycLnvXH9pAi6TgoqSeyAiaEAMovD5/fG9xs4czpk5Z86ZOWfmvJ+Px3kM872+23Uxw4fvdX2/30sRgZmZWaPpU+sOmJmZ1YIDoJmZNSQHQDMza0gOgGZm1pAcAM3MrCE5AJqZWUNyADQzs4bkAGhmZg3JAdDMzBqSA6CZmTUkB0AzM2tIm9S6A41A0pbA/sALwLoad8fMrNb6AdsBd0fEP2rVCQfA7rE/8Ptad8LMrM58EripVo07AHaPFwBmzZrFmDFjat0XM7OaWrRoEZMmTYLs38ZacQDsHusAxowZw9ixY2vdFzOzelHTR0KeBGNmZg3JAdDMzBqSA6CZmTUkB0AzM2tIDoBmZtaQHADNzKwhOQCamVlDcgA0M7OG5ABoZmYNyQHQzMwaUl0HQEn9JZ0vabGkFklzJH2kxLIjJV0j6TVJKyX9XtIORfIeLelxSWslPSXpq+3U+xlJf5H0z6zu+yR9sLPnaGbWXaZNm8agQYPe+kybNq3WXaqpet8L9ArgEOBHwFPAkcDNkg6MiD8XKyRpEHAnsCUwDXgDmALcLWl8RCzPyXsc8DPgeuAHwAeA6ZI2i4jz8+r9NnAWcF3Wt02BccDIyk+1PIfPeIRnlrWUVWb7poFcPXn3LuqRmdW7448/nkMPPfSt74cOHVrD3tRe3QZASXsDhwEnRcSFWdpMYD5wAfC+dopPBnYC9o6IeVnZW7KyJwKnZWkDgXOB2RFxSFb2Ukl9gDMlXRIRr2Z530sKfidGxA+rerKd8MyyFp5ZtobtmzYrMf+aLu6RmdW7oUOHNnzQy1W3AZA08lsPXNKaEBFrJV0GTJO0XUQUe5XGIcC81uCXlX1C0u3AoWQBEDgQGAbMyCt/MfA54OPAlVnaN4CXgIskCdg8IlZXcoKV2r5pM/4ydWJJefc5e04X98asMXTm7kulOnv3ZsqUKTz33HPccMMN7abtv//+7Ljjjlx++eVtys+YMYOTTz6ZlStX0qdPXT8x65R6PqM9gScjYmVe+tzs6/hChbLR2+7AAwUOzwV2lDQ4pw0K5H0Q2JBzHOBDwDzga8AyYJWkJZK+UsK5AOkdWAsWLGjzefnll0stbmZ1oPXuS/e1t6bTAXfu3LlMmDCh3bSI4OGHH+Y973nPRuUfeOABxo8f3yuDH9T3CHAEsKRAemvatkXKDQX6l1B2YdbG+ohoE4UiYp2k5a1tSBoCDAfeD3wQOBt4HjgK+LGkNyLi5x2dUPYCyDamTp3Kt7/97Y6KmlkdKefuS6U6c/dm3bp1bL755rz55pvcd999nH766ey55548+uijbdImTpzIzJkzWbVqVdEAeOCBB1bjNOpSPQfAgcDrBdLX5hwvVo4Syw6k+AsZ1+bkG5R9HQYcFhG/A5B0HfAocAbQYQAs9Eb4pqamjooV9KV7zmH46pdonlfsMrR18rIWXhm0DfCHTrVnZj3HJptswr333svEiRNpbm5m6623pl+/fixatKhN2oABA7jlllvo27cve+yxR5s6WlpaeOyxxzjxxBNrdBZdr54DYAtpJJdvQM7xYuUosWwL0K9IPQPy8kGaTXpda4aI2CDpd8DZkkZFxPNF6gKq+0b44atfYvjqJdBUcGVHgfyFBsRm1hv16dOHxYsXM2zYsDaBrVDaQw89xPr169lss8IT6t797nd3eX9rpZ4D4BIKLy8YkX1dXKTcCtLob0SBY/lllwB9JW2VextUUj/SaK813wrSiPC1iFifV2druSGk26Ld5pVBI/jAH+8pKe+NE/fq4t6YWT15+OGHNxrVFUp76KGHOPjggznrrLPapP/2t79l+vTpvOtd7+ryvtZKPT/ZbAZ2lrRFXvrEnOMbiYgNpNuSEwocngg8HRGr8urIzzuBdG2ac+psBpqy4Jir9VnksuKnYmbWvZqbmzcKdoXSHnroIQ444ADGjx/f5rNixQp23313+vbt253d7lb1HACvA/oCx7YmSOpPmngyp3UJhKRRknYtUHYvSRNyyu5CmsBybU6+O0ijuxPyyp8ArAFm56T9LuvPF3PqHEBaLvFYRBQbkZqZdbtHH32U8ePHt5v29NNP89prrxW8zfnQQw8VnBjTm9TtLdCImCPpWuA8SVsBi0jBZzRwdE7WmcD+gHLSZgDHALMlXUh6dvdNYCnw/Zw2WiSdCVyctXUbaSeYzwOnR8SKnDp/DvxXlndn0u3OLwDvAD5RrfM2M6uGDRs2sHDhQhYvXszmm2/OlltuuVHagw8+SJ8+fTYKlG+88Qbz58/nhBPyxwa9Sz2PAAGOIG2D9gVgOmnrsYMiot0HX9ktzgOAe0gzNL8L/BXYPyKW5eWdQRpl7kZaAP9+0rZp5+XlayGNIK8GvgR8j7RW8OMRcUslJ2lmVm3nnHMOV1xxBSNHjuScc84pmPbQQw+x0047MWjQoDZlH3vsMV5//fVePQEGQBFR6z70epLGAvPnz59ftVmgrZNaDp4zr4OcnctvZoXtc/acsrYhrFRrW9217rA7LFiwgHHjxgGMi4gFtepH3d4CNTOrR9s3lbb2tnrtbdbtbTYKB0AzszL4jSq9R70/AzQzM+sSDoBmZtaQHADNzKwhOQCamVlDcgA0M7OG5ABoZmYNyQHQzMwakgOgmZk1JAdAMzMrybRp0xg0aNBbn2nTptW6SxVxADQzaxCVBrDjjz+e5ubmtz7HH398F/W0e3grNDOzBnH88cdz6KGHvvX90KFDyyo/dOjQssvUMwdAM7MGUSyAnXrqqcyfP58//vGPRcuWkqencQA0MyvDE5OPYO3zz3ZrmwNGjWbXGTPLLjdlyhSee+45brjhhnbTmpubO3z7eyl5eho/AzQzK8Pa55/t1gBYSXtz585lwoQJHaY1Nzez++7tv+WilDw9jUeAZmZlGjBqNOP/eE+3tNV80H5ll1m3bh2bb745b775Jvfddx+nn346e+65J48++mibtIkTJzJr1iyWLl3K+vXr2W+//XjggQcYO3Ysl19+ObvtthsAL730Uod5eiKPAM3MeplNNtmEe++9F0gjtyVLlvCnP/1po7Rbb72V5uZmAH70ox9x3nnn8cADDzBo0CA++9nPvlVfKXl6Io8Azcx6mT59+rB48WKGDRvGHnvs8VZ6obTm5mYGDBjArFmz2HbbbQE499xzef/7388rr7zC8OHDS8rTE3kEaGbWCz388MNtAl2xtObmZg499NC3AhvAkCFDANiwYUPJeXoiB0Azs16oubm5YLArlDZ+/Pg2affffz8jR45kq622KjlPT+QAaGbWCz366KMbBa38tDVr1vDUU0+xfv36t9I2bNjARRddxJFHHllynp7KAdDMrBfasGEDCxcuZPHixfzjH/8omPbII4/Qt29ffvnLXzJv3jwWLlzIoYceSktLC6eccgpASXl6Kk+CMTMr09rnn+3U8oTOtjVg1Oiyy51zzjmccsopTJs2jW9961t873vf2yhtxx13ZOedd+ass87i4IMP5rXXXuMTn/gE9913H4MHDwbS7c+O8vRUioha96HXkzQWmD9//nzGjh1blTpvnLgXAAfPmdcl+c2ssJ60E0y9WrBgAePGjQMYFxELatUPjwDNzMrQmwJRo/MzQDMza0gOgGZm1pAcAM3MrCE5AJqZWUNyADQzs4bkAGhmZg3JAdDMzBqSA6CZmTUkB0AzM2tIDoBmZtaQ6joASuov6XxJiyW1SJoj6SMllh0p6RpJr0laKen3knYokvdoSY9LWivpKUlfLZDn25KiwGdtpedpZmbdr973Ar0COAT4EfAUcCRws6QDI+LPxQpJGgTcCWwJTAPeAKYAd0saHxHLc/IeB/wMuB74AfABYLqkzSLi/ALVnwCszvl+fYE8ZmZW5+o2AEraGzgMOCkiLszSZgLzgQuA97VTfDKwE7B3RMzLyt6SlT0ROC1LGwicC8yOiEOyspdK6gOcKemSiHg1r+7rIuKVapyjmZnVTt0GQNLIbz1wSWtCRKyVdBkwTdJ2EfFCO2XntQa/rOwTkm4HDiULgMCBwDBgRl75i4HPAR8Hrsw7JklbAKuiSu+Suupjk9hs+d/LKjNs1RKWDx5RjebNzBpSPQfAPYEnI2JlXvrc7Ot4YKMAmI3edgcuL1DnXOCjkgZHxKqsDYAH8vI9CGzIjucHwKeBQcA/Jc0CToyIpaWc0KJFizZKa2pqYrPlfy87oC0fPII1w0aWnN/MzNqq5wA4AlhSIL01bdsi5YYC/UsouzBrY31EvJybKSLWSVqe18arwE+AvwCvk54VfhnYW9KEAoF6I5MmTdooberUqexBCmh+Wa2ZWfep5wA4kBRo8q3NOV6sHCWWHQisK1LP2tw2IuKivOPXS5oLXEV65vjfRep5y6xZsxgzZkybtKamJu69ZXZHRc3MrMrqOQC2kEZy+QbkHC9WjhLLtgD9itQzoJ02AIiIqyV9H/gwJQTAMWPGMHbs2I6ymZlZN6jndYBLSLco87WmLS5SbgVp9FdK2SVAX0lb5WaS1I80OaZYG7leIN12NTOzHqSeA2AzsHM24zLXxJzjG4mIDcCjwIQChycCT2cTYHLryM87gXRtCrbRSpKA0cCy9vKZmVn9qecAeB3QFzi2NUFSf+AoYE7rEghJoyTtWqDsXpIm5JTdBfggcG1OvjtII8YT8sqfAKwB3no4J6mpQB9PAJqAW8s6MzMzq7m6fQYYEXMkXQucl92iXAR8kTTiOjon60xgf0A5aTOAY4DZki4k7QTzTWAp8P2cNloknQlcnLV1G2l25+eB0yNiRU6dz0n6HWl0uRbYl7RQvxn4ebXO28zMukfdBsDMEcB3gS8AQ4BHgIMi4p72CkXEKkkHAD8EziCNdO8CpkTEsry8MyS9Qdoh5j9Iz/SmAPmzPq8i7T7zKdIEmedIO9KcGxFrOn+KZmZWC3UdACNiLXBS9imW54Ai6S8Cny6xnUuBSzvIc0wpdZmZWc9Qz88AzczMuowDoJmZNSQHQDMza0gOgGZm1pAcAM3MrCFVFACzRej75qXtIWmmpN9J2vj1B2ZmZnWg0mUQ00nvxvswgKStgTtJG0yvAg6R9OmIuKHCdszMzKqq0lugewP/m/P9EaRXCO0BjARuB75VYRtmZmZVV2kAHArkvkz2IODuiPhbtin1DUD+Pp1mZmY1V2kAXAa8A0DS24D3kvbTbLUJdb7bjJmZNaZKg9OfgK9JWgkcQAqos3KOv4u0t6aZmVldqTQAngrsDFwIrAO+FRHPwFuvLjoUuLrCNszMzKquogAYEUuB90vaEmiJiHU5h/sAH8IjwLoxfPUSmg/ar6wyA0aNZtcZM7uoR2ZmtVOV53MR8Y8CaS3AX6tRv1XulUHbsG79Bvotaym5zPDVS3jx1dc9i8nMeqWKA6CkUcBpwIHAVsAnI+IeScOBs4BfRsTDlbZjlbnzU+fyTBnBD+Abf5hMvzc3dFGPzMxqq6IAKOldwP8j3e6cA4xprTMiXsl2idmctm9wtxq4evLuZZe58WbvlGdmvVelI8ALgNdIyx+CtmsCAWYDn6mwDTMzs6qr9L/4+wE/jYhlpACY73nSjjBmZmZ1pdIA2AdY087xJuD1CtswMzOrukoD4EPAxwsdkLQJcBhwf4VtmJmZVV2lAfA84N8l/RQYl6VtLenDwP8A7wT+u8I2zMzMqq7ShfC3SDoSuAg4Nku+EhCwEjgiIu6pqIdmZmZdoOJ1gBHxa0k3AB8lLYPoA/wNuC0iVlVav5mZWVeo1k4w/wRurEZdZmZm3aGsAJjt+kJEPJ/7fUda85uZmdWLckeAzwIhaWC28fWzFF7/l69vme2YmZl1qXID4JdIAe+NvO/NzMx6lLICYERc0d73ZmZmPUWn1wFK2kzSckknVbNDZmZm3aHTATAi1gBvAv+sXnfMzMy6R6U7wVwPHCJJ1eiMmZlZd6l0HeBvgRnAnZIuJc0K3eitqxHxUIXtmJmZVVWlAfCunD9/oMBxkWaJehmEmZnVlUoDoJdBmJlZj1TpZthXVKkfZmZm3aqiSTCS7pD0oXaOHyjpjkraMDMz6wqVzgI9ANi6neNbAft3tnJJ/SWdL2mxpBZJcyR9pMSyIyVdI+k1SSsl/V7SDkXyHi3pcUlrJT0l6asl1P+/kkLST8o9LzMzq71KAyC0/wxwDFDJK5GuAL4JXAV8HVgP3Cxp3/YKSRoE3EkKvtOAqcCewN2ShuXlPQ74BbAA+CrwF2C6pFPaqf8/gX06d0pmZlYPyn4GKOmLwBdzks6QdEyBrG8Ddgdu7kzHJO0NHAacFBEXZmkzgfnABcD72ik+GdgJ2Dsi5mVlb8nKngiclqUNBM4FZkfEIVnZSyX1Ac6UdElEvJrXrwHA94Hzge905tzMzKz2OjMC3Axoyj4Ag3O+b/0MB14Hfgb8Vyf7dghpxHdJa0JErAUuA/aRtF0HZee1Br+s7BPA7cChOfkOBIaR1jLmuhjYHPh4gbpPJl23C0s+EzMzqztljwAj4qfATwEkPQN8PSJuqnbHSLcsn4yIlXnpc7Ov44EX8gtlo7fdgcsL1DkX+Kikwdnb6vfM0h/Iy/cgsCE7fmVO3aOAU4EvRURLuRvgLFq0aKO0pqamAjnNzKyrVboMYvtqdaSAEcCSAumtadsWKTcU6F9C2YVZG+sj4uXcTBGxTtLyAm18H3g4In7bcfc3NmnSpI3Spk6dyh6dqczMzCpS6UJ4ACQNBt4BDCHt/tJGRNzTiWoHkm6j5lubc7xYOUosOxBYV6SetbltSDoQ+BQwsUj+Ds2aNYsxY8a0SWtqauLeW2Z3tkozM+ukigKgpOHAj0mBodB2Z5VshdZCGsnlG5BzvFg5SizbAvQrUs+A1nySNgGmA7/Ofa5YrjFjxjB27NjOFjczsyqqdAR4CfAJUnD4f8Cr7WcvyxJgZIH0EdnXxUXKrSCN/kYUOJZfdgnQV9JWubdBJfUjTY5pzXcEsAtwnKTReXUOztJezl4RZWZmPUClAfCjwA8j4uRqdCZPM3CgpC3yJsJMzDm+kYjYIOlRYEKBwxOBp7MJMLl1TKDtco0JpJmercdHAZsC9xao84jsczAwq90zMjOzulHpQvg1pFcgdYXrSLdOj21NkNQfOAqYExEvZGmjJO1aoOxekibklN0F+CBwbU6+O0gjxhPyyp9AOrfWh3O/JQW4/A+kwHkwMKdTZ2lmZjVR6QjwStI//vnr6CoWEXMkXQucJ2krYBFpAf5o4OicrDNJO77kTr6ZARwDzJZ0IfAGaUeZpaSZnK1ttEg6E7g4a+s20mudPg+cHhErsnxPAE/k9zFbBvFMRHjkZ2bWw1QaAK8D9pd0K+l54AukxettVPBC3COA7wJfIM0wfQQ4qKNZpRGxStIBwA+BM0gj3buAKRGxLC/vDElvkHaI+Y/sHKYAF3Wyz2Zm1gNUGgD/nPPnQptUV/RC3Gznl5OyT7E8BxRJfxH4dIntXApc2on+lbcS3szM6kalAfCoqvTCzMysm1W6E8yvqtURMzOz7lSN1yEBIGmEpD0kbV6tOs3MzLpKxQFQ0iclPQG8CDxEtk5P0nBJD0s6uN0KzMzMaqCiACjpE8ANwCvA2eQsRYiIV4C/A0dW0oaZmVlXqHQEeBZwT0TsS3qHXr6/8K9XDpmZmdWNSgPgOOCado4vBbaqsA0zM7Oqq8ZWaO1NetkBWF5hG2ZmZlVXaQC8E/hi9rqgNiRtQ9qO7H8qbMPMzKzqKg2ApwNvB+YBx5F2ffk3SecAj5ImxZxdYRtmZmZVV1EAjIiFwL6k25zfJQW8k4DTSAHwAxHxbIV9NDMzq7pKt0IjIhYAH5Y0BBhDCqpP5286bWZmVk8qDoCtIuJV0q1QMzOzule1rdDMzMx6EgdAMzNrSA6AZmbWkBwAzcysITkAmplZQyprFqikUZ1pJCKe70w5MzOzrlLuMohnSbu9lKtvJ8qYmZl1mXID4JdoGwD7AF8H3gFcBSzM0ncFDicFzOmVddHMzKz6ygqAEXFF7veSTgcGAGMiYnnesW8Dfwa2qayLZmZm1VfpJJjjgUvygx9AthXapcAJFbZhZmZWdZUGwGHAZu0c3yzLY2ZmVlcqDYD3A9+Q9J78A5ImkJ4PzqmwDTMzs6qrdDPsrwB3AXMl3Q88laXvBLwXWAF8tcI2zMzMqq7S9wE+BuxGmuk5DPhM9hkGXATslr0uyczMrK5U432AS4Ep2cfMzKxHqNpWaJJGSNpD0ubVqtPMzKyrVBwAJX1S0hPAi8BDwMQsfbikhyVNqrQNMzOzaqsoAEr6BHAD8ApwNqDWYxHxCvB34KhK2jAzM+sKlY4AzwLuiYh9gYsLHP8LsGeFbZiZmVVdpZNgxgHfbOf4UmCrCtuwGhq+egnNB+1XVpkBo0az64yZXdQjM7PqqDQArgHam/SyA7DRNmnWM7wyKG3jOriMMmuff7ZL+mJmVm2VBsA7gS9K+lH+AUnbAMcAf6ywDauRy/c7A4C/TJ1YcplyR4tmZrVS6TPA04G3A/OA40ivSvo3SecAj5ImxZzd2col9Zd0vqTFklokzZH0kRLLjpR0jaTXJK2U9HtJOxTJe7SkxyWtlfSUpI12r5F0sKTbsr68LulFSddJGtfZ8zMzs9qpaAQYEQsl7Uva9eW7pIB3Unb4LuDLEfFsBU1cARwC/Ii0zdqRwM2SDoyIPxcrJGkQaXS6JTANeIO0UP9uSeNz314h6TjgZ8D1wA+ADwDTJW0WEefnVLsb8Gp2rq+QXvP0JdI2cPtExF8rOM+69cyyNexzdunbuZ68rIVNN+nD+C7sk5lZNVRjJ5gFwIclDQHGkEaVT2evQ+o0SXsDhwEnRcSFWdpMYD5wAfC+dopPJu1HundEzMvK3pKVPRE4LUsbCJwLzI6IQ7Kyl0rqA5wp6ZKIeDU7z+8U6OMvSOsfTyC9GqpX2b5pYNll1q3f0AU9MTOrvooCoKRRwOqIWJEFinl5xwcCTRHxfCeqPwRYD1zSmhARayVdBkyTtF1EvNBO2XmtwS8r+4Sk24FDyQIgcCBp39IZeeUvBj4HfBy4sp0+vkyaCPS2ks+qB7l68u5ll7nx5qptLmRm1qUq/dfqWeA5SYcXOf6fwDOdrHtP4MmIWJmXPjf7WvAuWzZ62x14oMDhucCOklonNrauUczP+yCwgQJrGCW9TVKTpN2AXwBbALd3cC5mZlZnKr4FSnoe9mtJewEnRkS17oGNAJYUSG9N27ZIuaFA/xLKLszaWB8RL+dmioh1kpYXaeN+YJfsz6uBc4DLivSljUWLFm2U1tTUVEpRMzOrsmoEwNOBkaTJJntI+kylz/8yA4HXC6SvzTlerBwllh0IrCtSz9oibRxFGvXtkP15INCXNGJs16RJG2+LOnXqVPboqKCZmVVdNQIgEfE9SQ8AvwXmSfpURDxYYbUtpJFcvgE5x4uVo8SyLUC/IvUMKNRGRPyl9c+Sfgs8nn37rSL1vGXWrFmMGTOmTVpTUxP33jK7o6JmZlZlVQmAABFxp6T3ANcB/0/SZNLyg85aQhpZ5huRfV1cpNwK0uhvRIFj+WWXAH0lbZV7G1RSP9LkmGJtABARr0q6gzRhpsMAOGbMGMaOHdtRNjMz6wZVnbIXES+S1tHNBC4HTq2gumZgZ0lb5KVPzDleqA8bSIvwJxQ4PJG0RGNVXh35eSeQrk3BNvIMJK03NDOzHqTqc9Yj4o2IOB44mrQusLOuIz1bO7Y1QVJ/0nO3Oa1LICSNkrRrgbJ7SZqQU3YX4IPAtTn57iCNGE/IK38CaXnDW/cmJW20qbek0cCHKDzj1MzM6lilO8EUDaAR8UtJNwGDOln3HEnXAudlwWcR8EVgNCm4tpoJ7E/OuwhJ6/qOAWZLupB0K/abpLdTfD+njRZJZwIXZ23dRhrBfh44PSJW5NT5aLaOsJm0I8xOWT82pbKRrpmZ1UDVngEWkm05VsnbII4gbbH2BWAI8AhwUETc00G7qyQdAPwQOIM00r0LmJI/QzUiZkh6g7RDzH8AL5C2Tbsor9qfkhbG/zvpBQkvA/8DTIuIRzt/imZmVgtlBUBJl5M2vD42ItZn33ckIuLojrMVLLiWtLfoSe3kOaBI+ovAp0ts51Lg0g7yfBv4din1mZlZ/St3BPhB0nq3PqRtyj5ICojt6ei4mZlZtysrAEbE6Pa+NzMz6ym8c7GZmTUkB0AzM2tI5U6C2UD5z/QiIrp0tqmZmVm5yg1M38GTWszMrBcodxLMt7uoH2ZmZt3KzwDNzKwhVeXZnKS3k96eviUFgmpEzKxGO2ZmZtVSUQCUNAD4FfApUuAL/rUnZ+6zQgdAMzOrK5XeAp0G/CfprfAHkILfF4GPArcAfwW/8NzMzOpPpQHwEOCXEXE+sCBL+3tE/CkiDgJeA75cYRtmZmZVV2kA3AqYm/25Jfu6ec7x60kjRDMzs7pSaQBcCgwDiIg1pPfk7ZJzfAtgQIVtmJmZVV2ls0DnAPsC52ff/wE4SdISUnCdAtxfYRtmZmZVV+kIcDrwtKT+2fdnkp77/Zo0O/QfwNcqbMPMzKzqKhoBRsSfgT/nfP+CpHcCu5HeF/hERLxZWRfNzMyqr+qbVEfEBtLyBzMzs7pVrZ1gRgE7AEP410L4t0TEDdVox8zMrFoq3QlmFHA5cGBrUoFsAfStpB0zM7Nqq3QE+CtgH+C/STNC/1Fxj8zMzLpBpQHwvcD5ETG1Gp0xMzPrLpUug3iRtPjdzMysR6k0AF4IHC1ps2p0xszMrLtUug7w55L6Ak9Juo40Ily/cbb4YSXtmJmZVVuls0DHAScDI4CvFskWgAOgmZnVlUonwVxCegv8cXgWqJmZ9SCVBsDxwNSzKuXBAAAd/klEQVSIuLQanTEzM+sulU6CeaYqvTAzM+tmlQbAqcCXJW1Xjc6YmZl1l0pvge5Hev3RQkl/Al6g8CzQr1fYjpmZWVVVGgC/kvPng4rkCcAB0MzM6kql6wArvYVqZmZWE50OYJIGSPqapP2q2SEzM7Pu0OkRYESslXQ+8DXgnup1yXq6des3sM/Zc0rOv33TQK6evHsX9sjMbGOVPgOcD4yuQj+sl9h0kz4MX72Ek2/+SseZScFy5ZbbwuQ/dHHPzMzaqvQZ3unAcZI+XI3O5JPUX9L5khZLapE0R9JHSiw7UtI1kl6TtFLS7yXtUCTv0ZIel7RW0lOSNtrWTdJ/SvqdpKclrZG0UNL3Jb2t0vPsTcbssQuDt9+B7ZsGlvTZtmUpw1e/VOtum1kDqsYs0BXAbZKeIS2Mb8nLExHxyU7WfwVwCPAj4CngSOBmSQdGxJ+LFZI0CLiTtE3bNOANYApwt6TxEbE8J+9xwM+A64EfAB8ApkvaLCLOz6n2EmAxcCXwPLAb6fw/JundEZF/3g1p1xkzy8p/48S9uqgnZmbtqzQA7k5a5vA80BcYUyBPdKZiSXsDhwEnRcSFWdpM0m3XC4D3tVN8MrATsHdEzMvK3pKVPRE4LUsbCJwLzI6IQ7Kyl0rqA5wp6ZKIaH3f4SERcVdeHx8EfgV8DvhFZ87TzMxqo6JboBExOiK27+BT8LZjCQ4hLaq/JKe9tcBlwD4d7D5zCDCvNfhlZZ8AbgcOzcl3IDAMmJFX/mJgc+DjOeXvKtDOjdnXd3ZwLmZmVmfqeR3fnsCTEbEyL31u9nV8oULZ6G134IECh+cCO0oanNMGBfI+CGzIOV7MNtnXVzrIZ2ZmdabSW6AASNqfNFp6R5b0HOm24t0VVDsCWFIgvTVt2yLlhgL9Syi7MGtjfUS8nJspItZJWt5OG61OIY1Sr+sgHwCLFi3aKK2pqamUomZmVmWVvhC3H/AbYBIg0r6gAG8DTpR0I/DZiHijE9UPBF4vkL4253ixcpRYdiCwrkg9a9tpA0mHA0cDF0TEU8Xy5Zo0adJGaVOnTmWPUgqbmVlVVToCnAocDFwIfD8ilgJI2oo02eQk4CzgzE7U3UIayeUbkHO8WDlKLNsC9CtSz4BibUj6AOlZ5G2kpSAlmTVrFmPGtJ0n1NTUxL23zC61CjMzq5JKA+DhwK8i4uTcxOyW4imStga+QOcC4BJgZIH0EdnXxUXKrSCN/kYUOJZfdgnQV9JWubdBs5HtsEJtSNoDuIk0o/SQiHizg/N4y5gxYxg7dmyp2c3MrAtVOglmBNDenldz+NdEkXI1AztL2iIvfWLO8Y1ExAbgUWBCgcMTgacjYlVeHfl5J5CuTZs2JO0I3Aq8DHwsIlaXcB5mZlaHKg2ALwIHtHN8/yxPZ1xHWlt4bGuCpP7AUcCciHghSxsladcCZfeSNCGn7C7AB4Frc/LdQRoxnpBX/gRgDfDWvUlJ2wD/Q5od+m8RsayT52VmZnWg0lugvwLOlvQa8ENgEWnh+07AN4BPk54Tli0i5ki6Fjgve6a4CPgiae/Ro3OyziQFWuWkzQCOAWZLupC0E8w3gaXA93PaaJF0JnBx1tZtpJ1gPg+cHhErcuq8FdiBtAh/X0n75hxbGhH/25nzNDOz2qg0AE4DdiSN0o4hjY4gjSxFCpDTKqj/COC7pOeIQ4BHgIMiot23T0TEKkkHkILyGVl/7gKm5I/cImKGpDdIk3b+g/RW+ynARXnVtk7WPJmN3Q04AJqZ9SCVvhB3PXCkpB8AH6PtOsCbI+KRCutfS5pJelI7eQ4okv4iaQRaSjuXApd2kEftHTczs56lKgvhs0BXUbAzMzPrTvW8FZqZmVmXKXsEKKnckV5EhDc7MTOzutKZW6ArKO0VR9sAu5SY18zMrFuVHQCLTTppla2XOwU4jrRR9K871TMzM7MuVJVJMADZtmenkpZEbEp6c/q5EfG3arVhZmZWLRUHwJwRX27gOycinq60bjMzs67S6QCYBb5TSQvgNyXd6jwnIp6pUt/MzMy6TGdmgY7gX4FvE9JWZOc68JmZWU/SmRHg30jv2msmbXP2DDBE0pBiBSLioc51z8zMrGt0JgC2vlR2T+CaDvKKtAyibyfaMTMz6zKdCYBHVb0XZmZm3awz6wB/1RUdMTMz607eC9TMzBqSA6CZmTUkB0AzM2tIDoBmZtaQHADNzKwhOQCamVlDqtrbIMw6a/jqJTQftF9ZZQaMGs2uM2Z2UY/MrBE4AFpNvTJoG9at30C/ZS0llxm+egkvvvo6u3Zhv8ys93MAtJq681Pn8kwZwQ/gG3+YTL83N3RRj8ysUTgAWk1dPXn3ssvceLMfXZtZ5fwviZmZNSQHQDMza0gOgGZm1pAcAM3MrCE5AJqZWUNyADQzs4bkAGhmZg3JAdDMzBqSA6CZmTUkB0AzM2tIDoBmZtaQHADNzKwhOQCamVlDqusAKKm/pPMlLZbUImmOpI+UWHakpGskvSZppaTfS9qhSN6jJT0uaa2kpyR9tUCeXST9UNJ9Wb6QNLqyMzQzs1qp6wAIXAF8E7gK+DqwHrhZ0r7tFZI0CLgT2B+YBkwF9gTuljQsL+9xwC+ABcBXgb8A0yWdklftPsDXgMHA4xWdlZmZ1Vzdvg9Q0t7AYcBJEXFhljYTmA9cALyvneKTgZ2AvSNiXlb2lqzsicBpWdpA4FxgdkQckpW9VFIf4ExJl0TEq1n6TcDbImKVpG8B46t3tmZm1t3qeQR4CGnEd0lrQkSsBS4D9pG0XQdl57UGv6zsE8DtwKE5+Q4EhgEz8spfDGwOfDyn/IqIWNW5UzEzs3pTzwFwT+DJiFiZlz43+1pwBJaN3nYHHihweC6wo6TBOW1QIO+DwIac42Zm1svU7S1QYASwpEB6a9q2RcoNBfqXUHZh1sb6iHg5N1NErJO0vJ02OmXRokUbpTU1NVWzCTMzK1E9B8CBwOsF0tfmHC9WjhLLDgTWFalnbTttdMqkSZM2Sps6dSp7VLORBjFs1RJunLhXWWXWDBvJ526e1UU9MrOepp4DYAtpJJdvQM7xYuUosWwL0K9IPQPaaaNTZs2axZgxY9qkNTU1ce8ts6vZTK+3ZtjIsssMW1XohoCZNbJ6DoBLgEL/0o3Ivi4uUm4FafQ3osCx/LJLgL6Stsq9DSqpH2lyTLE2OmXMmDGMHTu2mlU2pM6M4sodLZpZ71fPk2CagZ0lbZGXPjHn+EYiYgPwKDChwOGJwNM5szlb68jPO4F0bQq2YWZmPV89B8DrgL7Asa0JkvoDRwFzIuKFLG2UpF0LlN1L0oScsrsAHwSuzcl3B2nEeEJe+ROANYDvTZqZ9VJ1ews0IuZIuhY4T9JWwCLgi8Bo4OicrDNJO74oJ20GcAwwW9KFwBukHWWWAt/PaaNF0pnAxVlbtwEfAD4PnB4RK1rzStqStFMMwPuzr1+R9BrwWkT8pConbmZm3aJuA2DmCOC7wBeAIcAjwEERcU97hbLdWg4AfgicQRrp3gVMiYhleXlnSHqDtEPMfwAvAFOAi/KqHZL1JdeJ2dfnAAdAM7MepK4DYLbzy0nZp1ieA4qkvwh8usR2LgUu7SDPs7QdZZqZWQ9Wz88AzczMuowDoJmZNSQHQDMza0gOgGZm1pAcAM3MrCHV9SxQs2oavnoJzQftV3L+AaNGs+uMmV3YIzOrJQdAawivDNoGgMEd5Gu19vlnu6wvZlYfHACtIVy+3xk8s2wN2zdtVlL+k5d9BZa1cMGMR7h68u5d3DszqwUHQGsI2zeV/2rHdes38Myyqr4Ry8zqiAOgNYRyR3HN8wY6+Jn1cp4FamZmDckB0MzMGpIDoJmZNSQHQDMza0gOgGZm1pAcAM3MrCE5AJqZWUPyOkCzIoavXsI3/jCZG28u/f+Ja4aN5HM3z+rCXplZtTgAmhUwYNRoXnz1dfq9uaHkMsNWLenCHplZtTkAmhWw64yZ7FpmmRsn7tUlfTGzruFngGZm1pAcAM3MrCE5AJqZWUNyADQzs4bkSTBmVTRs1ZKyJ8N46YRZbTgAmlXJmmEjyy7jpRNmteMAaFYlnRnFeemEWe04AJrV2PDVS2g+aL+S8w8YNZpdZ8zswh6ZNQYHQLMaemXQNgAMLjH/2uef7bK+mDUaB0CzGrp8vzN4Ztkatm/arKT8Jy/7Cixr4YIZj3D15N27uHdmvZsDoFkNbd80sOwy69Zv4JllLV3QG7PG4gBoVkPljuKa5w108DOrEgdAsx7Gr2kyqw4HQLMexK9pMqseB0CzHqSzr2nyDjVmG3MANOvlvEONWWF1HQAl9Qe+A3wBGAI8ApwREf9bQtmRwA+Bj5I2/b4TmBIRTxfIezTwLWB74AVgekT8uJI68wwFWL58eUfd7rVefvllZsyYweTJk9lqq61q3Z2aqNU16OwONeWOGl8ZtA2X73dGu3neWL2Cl+ZdzzZ7fYpNBw1l+6aBDbecw78Lbf4tHFrLftR1AASuAA4BfgQ8BRwJ3CzpwIj4c7FCkgaRgtOWwDTgDWAKcLek8RGxPCfvccDPgOuBHwAfAKZL2iwizu9MnQUMAXj11VfLOvneZNmyZZx99tl8+tOfbthf+p50DcodNW6z8gW2WfkCJ9/8lXbzPb+mhW/MX8BJy+9nm/796de3D803l7cUpKfvhNOTfg66Ss6/hUNq2Y+6DYCS9gYOA06KiAuztJnAfOAC4H3tFJ8M7ATsHRHzsrK3ZGVPBE7L0gYC5wKzI+KQrOylkvoAZ0q6JCJeLadOs96g3FHjE5OPYO3zz7J9B/k2rEqTd94+tD991vYpe03jNitfoOVvT5Y9Mr3zU+c23EjTOla3AZA08lsPXNKaEBFrJV0GTJO0XUS80E7Zea2BKiv7hKTbgUP5V7A6EBgGzMgrfzHwOeDjwJVl1mnWcEodkW26YAGMG8euM2Zy7t3ry17T+KV7zmH46pdKzt86Mh182VHc+Kuuff2pJw31PPUcAPcEnoyIlXnpc7Ov40nP69rIRm+7A5cXqHMu8FFJgyNiVdYGwAN5+R4ENmTHryyzTjMrQedGZH8oK/cTk49g0V8X0r+MZSOdsc3KF2DlCyWNTJ9fk4L+nw77DE9uVv5OQL3Bn9bUugdJPQfAEUChqWitadsWKTcU6F9C2YVZG+sj4uXcTBGxTtLynDbKqbOQTQHmzJmz0YEhQ4a89QuxYMGCIsV7vkWLFrX52oh8DWpwDb58Soe3Zavhj8d/lQGvvQxrOh7RLlm7ts3XRjP8ny+x+o23Av+mtexLPQfAgcDrBdLX5hwvVo4Syw4E1hWpZ21evlLrLGQzgPPOO6+dLMC4ce0f7wUmTZpU6y7UnK+BrwHA+Yv+Vusu1IPSdoHvIvUcAFtIo658A3KOFytHiWVbgH5F6hmQl6/UOgu5CTgCWEOaPZrrVWBFO2XNzHqbfsB2wN217EQ9B8AlQKG52COyr4uLlFtBGqmNKHAsv+wSoK+krXJvg0rqR5oc05qvnDo3EhH/AH5d7LiZWQN6uNYd6NppUZVpBnaWtEVe+sSc4xuJiA3Ao8CEAocnAk/nTFZprSM/7wTStWnuRJ1mZtYD1HMAvA7oCxzbmpDtDHMUMKd1CYSkUZLyt0e8DthL0oScsrsAHwSuzcl3B2l0d0Je+RNItytnd6JOMzPrARQRte5DUZKuAQ4mbT+2CPgisDfwoYi4J8tzF7B/RCin3GDS8HowcCHpuds3SQF1fEQsy8k7mbTu7zrgNtJOMEcAp0fEtM7UaWZm9a/eA+AA4LvA5/nXXqBnRsRtOXnuIi8AZulvp+2+nXeR9u3caP61pGNIu7m07gX6E+CiyLs45dRpZmZ1LiL86aIPadbo+aQJMi3AHOAjte5Xhee0F+k/CAuAfwLPA9cAOxfI+07gVmA16Vbzr4GmAvn6ACcDz5CWlTwCfLbW51rmdTkdCGB+gWPvA/5Muq3+EjAdGNRbfl6Ad5NmOq/IznE+8LVGuQakLRJ/C7yYnd8TwFnAZr3tGgCDgLOz3+sV2c/8kUXyVv33v9Q6Sz6fWl/Q3vwBfkO6Vfo90rPM+7Lv96113yo4p+tIs2enA/8FnJH9Mq8GxuXkezuwjHTr+mukreJWkCYW9cur87zsF+kS4Bjgj9n3h9X6fEu8Jm8n/WdgdX4AJO1Y1AI8BBwPnJP9kt/SG35eSHdDXgfuJ20Ofwzw38AFjXANSFP5XwWeBU7N+vzL7Of3973tGgCjs3N7jvRygIIBsCt+/8ups+TzqfUF7a0f0rPKAL6VkzYg+8u7r9b9q+C83lfgB3in7Jf5ypy0GaT/6Y7KSftwdk2OzUkbSdqM4Cc5aQLuId2O7lvrcy7hmvwWuJ10Szw/AN5M+p/8Fjlp/5Vdh4/25J8XYAvSf35uAPq0k683X4PTsj6PzUv/VZY+pDddA9LodJvszxMoHgCr/vtfap1lnU+tL2hv/ZDeWPFm7g98lv5/s7+w7Wrdxyqf74PAgznfLwWuKZBvIfCnnO8nZ9fjXXn5Ppul1/x/vR2c937Z3/Nu+QEwCxBvkDMaytL7AauAX/TknxfSSCaAd2bfb54fCBvgGvx31rfhBdLXZ9ekV16DDgJg1X//S62znE89L4Po6UrZzLtXkCRga+CV7PuRwFZsvMk4pPPfM+f7PUm3Dx8vkI+8vHVFUl/gx6R/wB4tkGU30mYTba5DRKwj3bbJvw497eflw8BKYKSkhaRbwCsl/TSbwAa9/xrclX29TNJ4SdtJ+gxpKdX0iPgnvf8atNEVv/9l1lkyB8Cu09nNvHuiz5FuZfwu+751d5xi5z80W9PZmndpZP+Vy8sH9X2djgfeAZxZ5HhH12HbvLw97edlJ9I/7L8nLSH6FOmNKceTnoNBL78GEXEr6e//I6RlUs+Tbon/OCKmZNl69TUooCt+/8ups2T1vBVaT9fZzbx7lGwTgouBv5Cee0Dpm4e/Tg+9TpKGAd8BvhvF14B2dB0G5uXtaddhEGkz459FxNeytBuyrQSPk3QWvf8aQJoAcw9wPbCc9B7R0yS9FBE/oTGuQa6u+P0vp86SOQB2nc5u5t1jSNqGtFvOP4BDImJ9dqjcDcl74nU6hzQD7cft5OnoOrTk5e1p16G1T7/JS78aOA7YhzRpAXrpNZB0GGn24s4R8WKWfEP2DtHzJf2G3v9zkK8rfv8rfSFBQb4F2nWW0MnNs3sCSVsCtwBvA/49InLPp/U2RbHzXxERr+fk3SZ7jpifD+rwOknaiTQ9fTqwraTRkkaTfhE3zb4fSsfXIf+a9bSfl9Y+Lc1Lb91Yfgi9/xpMBh7OCX6tbiKNjvek91+DfF3x+19OnSVzAOw6ndrMuyfIJjj8AdgZOCgiHss9HhF/J63XKbR5+N60Pfdm0j8U78zLV8/XaSTpd2c6afFu62ci6Zo8Q1oIPZ80o6/NdchuEY5n4+vQ035eHsy+5r+1pfW5zTJ6/zXYmrQdYr7WF71uQu+/Bm10xe9/mXWW1Vl/umaK8EQ2Xs/TH3gKuL/W/avgvPqSJj28AXysnXw/Jd3+2i4n7UPZNTk+J+3tFF8H9CJ1uA4QGA5MKvCZT1ogPAnYLct7C+l/sYNzyh+dXYd/78k/L6TRTQBX5aVfnf18bNsA1+APpOdOO+el30haBtFrrwHtL4Oo+u9/qXWWdQ61voi9+UPaIuwN0tqeY4F7s+/3q3XfKjinH2U/cDeR9mht88nJtx1pWcQi4KukdUwrSNsc9c+r84Kszp+TFge37gRxeK3Pt8xrcxcbL4R/N+khfe4OIC3Abb3h5wW4LPu7+h3pduA12ffTGuEa8K91oEtJs0Enkxa9B3Bpb7wGwFdIO0DNyM7z+uz7M4AtszxV//0vp86Sz6XWF7M3f0jPhL5Hun+9lrRe5d9q3a8Kz+mu7Iez4Ccv71jS9Ph/kraLuhLYukCdfbIf5mdJ/5ueD3yu1ufayWtTaC/QfbN/xFpIz8d+Qs5IoCf/vJBu9U3N/u7WkUYq32iwa7B3FvSWZNdgIWmHmE164zXI/q6L/RswOidf1X//S62z1E9dvw3CzMysq3gSjJmZNSQHQDMza0gOgGZm1pAcAM3MrCE5AJqZWUNyADQzs4bkAGhmZg3JAdDMzBqSA6CZmTUkB0AzM2tIDoBmZtaQHADNzKwhOQCalUDSQEnrJZ1W676YWXU4AJqV5l2k35f5te5IeyQdKSna+by3xHr6SFom6eQS8m4v6SeSnpS0Jvs8JuliSbt34hxuyuoY3E6eqyStkzSs3PrNWm1S6w6Y9RC7ZV8X1LQXpTsLeKZA+qISy+9NevP97PYySTqI9DLcN4GrgL8CG4Bdgf8ETpC0fUQ8V2K7ZPV8AjgYmFmgzc2ATwK3RsTyMuo1a8MB0Kw0uwFrgKdr3ZES3RIRD1RQ/mPAcxFRNOBL2hH4LfAc8KGIWJJ3/BTSG9I3lNn2TcAq4HAKBEBS8NucFCjNOs23QM1KsxvwOPBeSXdJ+qekJyR9tjsal7SrpFHd0Vbm43Qw+gNOJgWio/KDH0BEvBkR0yPihdx0SSMlXS5pqaTXJS2Q9KWcci3ADcCHJG1VoN3DSQHypjLPyawNB0Cz0uwGDCLd7rsdOBUI4GpJE7uh/ccpPBoqZktJw/M+JT0vk7QNsCdwcwdZDwIWRcScUjslaWvgfuDDwE+Ar5Nuy14m6Rs5Wa8i3aE6NK/8UODfgBuzQGnWab4FatYBScOBbYB+wHsi4tksfRbpH+8vASUHgW7ypwJprwMDSij7MWAtcEexDJK2ALYFZhU49jba/tvyz5xgdS7QF9gt5/ndzyT9Bvi2pJ9nee8AlpBGez/JqevTwKb49qdVgUeAZh0bl309tzX4AWS39hYC2wMoWZ2Nciom6Y+SDs/aUkQcUEbxLwMfyfv8nxLLfgy4s4MR1hbZ19UFjt0FLMv5fBnS9QE+Bfwh+/at0SlwG7Al8G6AiFhPer64j6TROXUfDiwljcLNKuIRoFnHWmeAXlng2AbS5BhIgXBdRCytUrvvpPPLLuZ2ZhKMpE1JwfL/dpB1VfZ1UIFjxwGDga1pe82agLcBx2afQnKf+V0FTCEFvWmS3g58AJieBUizijgAmnVsN2BxRLycm5hNx9+Vf03GGEd6VlcxSQOAtwNPVKO+MuxLGt21+/wvIv4haQn/Gh3nHpsDkDdyg3/dcboS+FWRqh/JqedBSU8AnwWmZV+Fb39alfgWqFnHdgMKjTiOAvqTZixCCgZ/l3SFpNeyxeA7AkgaJenWbHH5a5J+mt0SJDu+iaTzJL0qaRFp1PO3iFjXtae2kY8Dj+Xe6m3HbGCMpL1LrHsZaeTYNyL+VOTzcl6Zq4Bx2YL6w4GnImJeie2ZtcsB0KwdWZAaB4xsDWZZehNpJuhNEdGcJY8D3gf8HBhGun3ZOr1/MGkCyLakgPoJ4ICcps4H9iDdRj0QOJuc25/duAziY3S8/KHVBaTbv5cXee6p3G+y25bXA5+StNHIMbum+VpHe98BxuPRn1WRb4GatW806TnXg8BsSdOBzYCvkJ7/5T7LGgecERF/AZD0FFkQyFtQ/oKkucCQLN+2wDHAmIh4DXhN0n203XXmceBu2gbN9vwfSbsWSL8vIgou5pe0Pem54wmlNBART2WTdH4DLJTUuhOMSIH8cNI1ejGn2KmkAD9H0qXAY8BQ0uSXD2d/zm3jmexafDJLcgC0qnEANGtf6wSY/8o+00jr/24CTm2d8CJpE2AX2j47G0t2e1TSF4CvAjuSlgEMJm1XBvAhYF7e7b8mKtt39DtF0o+i+G42HwP+AdxbaiMR8XtJuwEnAh8ljXiDtDvMbOBnEfHXnPxLs1umZ5G2SpsMLCcF+1OKNHMVaWQ9NyJK3crNrEOKiFr3wazHk/Qu4PaIGJGT9jTpH/mtgR8BnyH9Q99EWj/4toh4U9IU4L0R8Zms3DbAs8DuEfFkN57DzcDqiDi0w8xmvYCfAZpVxzhyZjBmbzIYSbrFtzspoD2WpV0JPBkRb2bZFwIHSNouew72K9IoqrtHO3cBP+zmNs1qxrdAzaqjTQDMvn8yItZlz8Y+DbwKzCXd2twiJ++twC2k0eGLpF1QmiKi3E2kKxIRF3Rne2a15lugZmbWkHwL1MzMGpIDoJmZNSQHQDMza0gOgGZm1pAcAM3MrCE5AJqZWUNyADQzs4bkAGhmZg3JAdDMzBqSA6CZmTUkB0AzM2tIDoBmZtaQ/j9yNCkdSc0tKgAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# plot the energy of the jet \"bhad\"\n", "E_bhad = vectors_valid[:, E_BHAD]\n", "\n", "fig, ax = plt.plot_lbn_feature(\n", " E_bhad, labels_valid,\n", " limits=(0, 1000),\n", " xlabel=\"$b_{had}$: E / GeV\")" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "cell_style": "split" }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# plot the pT of the lepton\n", "px_lep = vectors_valid[:, PX_LEP]\n", "py_lep = vectors_valid[:, PY_LEP]\n", "pt_lep = (px_lep**2 + py_lep**2)**0.5\n", "\n", "fig, ax = plt.plot_lbn_feature(\n", " pt_lep, labels_valid,\n", " limits=(0, 300),\n", " xlabel=\"$lep$: $p_{T}$ / GeV\")" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "cell_style": "split" }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# plot the pT of the jet \"bj1\"\n", "px_bj1 = vectors_valid[:, PX_BJ1]\n", "py_bj1 = vectors_valid[:, PY_BJ1]\n", "pt_bj1 = (px_bj1**2 + py_bj1**2)**0.5\n", "\n", "fig, ax = plt.plot_lbn_feature(\n", " pt_bj1, labels_valid,\n", " limits=(0, 800),\n", " xlabel=\"$bj_{1}$: $p_{T}$ / GeV\")" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "cell_style": "split" }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# plot the pT of the jet \"bj2\"\n", "px_bj2 = vectors_valid[:, PX_BJ2]\n", "py_bj2 = vectors_valid[:, PY_BJ2]\n", "pt_bj2 = (px_bj2**2 + py_bj2**2)**0.5\n", "\n", "fig, ax = plt.plot_lbn_feature(\n", " pt_bj2, labels_valid,\n", " limits=(0, 400),\n", " xlabel=\"$bj_{2}$: $p_{T}$ / GeV\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Expect to see differences caused by the two b-jets from $H$ / $g \\rightarrow b\\bar{b}$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "#### Model definition" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "# create the LBN layer\n", "# possible boost modes are \"pairs\" and \"product\"\n", "features = [\"E\", \"pt\", \"eta\", \"phi\", \"m\"]\n", "lbn_layer = LBNLayer(n_particles=13, boost_mode=\"pairs\", features=features)\n", "\n", "l2_reg = tf.keras.regularizers.l2(1e-4)\n", "dense_kwargs = dict(\n", " activation=\"selu\",\n", " kernel_initializer=tf.keras.initializers.lecun_normal(),\n", " kernel_regularizer=l2_reg,\n", ")\n", "\n", "model = tf.keras.models.Sequential()\n", "model.add(lbn_layer)\n", "model.add(tf.keras.layers.BatchNormalization(axis=1))\n", "model.add(tf.keras.layers.Dense(1024, **dense_kwargs))\n", "model.add(tf.keras.layers.Dense(512, **dense_kwargs))\n", "model.add(tf.keras.layers.Dense(256, **dense_kwargs))\n", "model.add(tf.keras.layers.Dense(128, **dense_kwargs))\n", "model.add(tf.keras.layers.Dense(2, activation=\"softmax\", kernel_regularizer=l2_reg))\n", "\n", "# define metrics to monitor during training\n", "metrics = [\n", " tf.keras.metrics.categorical_accuracy,\n", " tf.keras.metrics.AUC(),\n", "]\n", "\n", "# select the optimizer\n", "optimizer = tf.keras.optimizers.Adam(lr=1e-4)\n", "\n", "# setup the model for training\n", "model.compile(optimizer=optimizer, loss=\"categorical_crossentropy\", metrics=metrics)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "#### Helpers: Model fitting and loading" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "def fit_model(model, name, data=None, validation_data=None, epochs=10, batch_size=512):\n", " model_dir = os.path.join(tut.data_dir, \"lbn\", \"models\", name)\n", " if not os.path.exists(model_dir):\n", " os.makedirs(model_dir)\n", "\n", " fit_callbacks = [\n", " tf.keras.callbacks.ModelCheckpoint(\n", " filepath=os.path.join(model_dir, name),\n", " save_best_only=True,\n", " save_weights_only=True,\n", " monitor=\"val_auc\",\n", " mode=\"max\",\n", " ),\n", " ]\n", "\n", " if data is None:\n", " data = (vectors_train, labels_train)\n", " if validation_data is None:\n", " validation_data = (vectors_valid, labels_valid)\n", "\n", " model.fit(data[0], data[1],\n", " validation_data=validation_data,\n", " epochs=epochs,\n", " batch_size=batch_size,\n", " callbacks=fit_callbacks,\n", " )" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "def load_model(model, name):\n", " local_dir = tut.get_file(os.path.join(\"lbn\", \"models\", name), is_dir=True)\n", " print(\"loading model from {}\".format(local_dir))\n", " model.load_weights(os.path.join(local_dir, name))" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "#### Fit or load the model" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "loading model from /tutorial/data/lbn/models/lbn_pretrained\n", "[[0.07558268 0.92441726]\n", " [0.3666727 0.6333273 ]\n", " [0.38706943 0.61293054]\n", " [0.80215394 0.19784611]\n", " [0.53375196 0.46624807]]\n", "Model: \"sequential\"\n", "_________________________________________________________________\n", "Layer (type) Output Shape Param # \n", "=================================================================\n", "lbn_layer (LBNLayer) multiple 208 \n", "_________________________________________________________________\n", "batch_normalization (BatchNo multiple 260 \n", "_________________________________________________________________\n", "dense (Dense) multiple 67584 \n", "_________________________________________________________________\n", "dense_1 (Dense) multiple 524800 \n", "_________________________________________________________________\n", "dense_2 (Dense) multiple 131328 \n", "_________________________________________________________________\n", "dense_3 (Dense) multiple 32896 \n", "_________________________________________________________________\n", "dense_4 (Dense) multiple 258 \n", "=================================================================\n", "Total params: 757,334\n", "Trainable params: 757,204\n", "Non-trainable params: 130\n", "_________________________________________________________________\n" ] } ], "source": [ "# set this flag to True in case you want to train the network\n", "do_fit = False\n", "\n", "if do_fit:\n", " # run a new fit for 1 epoch, store the weights as \"lbn_v1\"\n", " fit_model(model, \"lbn_v1\", epochs=1)\n", "else:\n", " load_model(model, \"lbn_pretrained\")\n", " \n", "# make a prediction for the first 5 validation events\n", "print(model.predict(vectors_valid[:5]))\n", "\n", "# print the model summary\n", "model.summary()" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "#### Check training results" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "# run the prediction on the full validation set\n", "pred_valid = model.predict(vectors_valid)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# plot the output distribution\n", "fig, ax = plt.plot_lbn_outputs(\"Output distributions (with LBN)\",\n", " pred_valid, labels_valid)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ROC AUC: 0.941\n" ] } ], "source": [ "# compute the ROC AUC score\n", "from sklearn.metrics import roc_auc_score\n", "\n", "auc = roc_auc_score(labels_valid, pred_valid)\n", "print(\"ROC AUC: {:.3f}\".format(auc))" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Performance comparison LBN+DNN vs. DNN-only" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "# define the DNN-only model\n", "l2_reg = tf.keras.regularizers.l2(1e-4)\n", "dense_kwargs = dict(\n", " activation=\"selu\",\n", " kernel_initializer=tf.keras.initializers.lecun_normal(),\n", " kernel_regularizer=l2_reg,\n", ")\n", "\n", "model_dnn = tf.keras.models.Sequential()\n", "model_dnn.add(tf.keras.layers.BatchNormalization(axis=1))\n", "model_dnn.add(tf.keras.layers.Dense(1024, **dense_kwargs))\n", "model_dnn.add(tf.keras.layers.Dense(512, **dense_kwargs))\n", "model_dnn.add(tf.keras.layers.Dense(256, **dense_kwargs))\n", "model_dnn.add(tf.keras.layers.Dense(128, **dense_kwargs))\n", "model_dnn.add(tf.keras.layers.Dense(2, activation=\"softmax\", kernel_regularizer=l2_reg))\n", "\n", "# define metrics to monitor during training\n", "metrics = [\n", " tf.keras.metrics.categorical_accuracy,\n", " tf.keras.metrics.AUC(),\n", "]\n", "\n", "# select the optimizer\n", "optimizer = tf.keras.optimizers.Adam(lr=1e-4)\n", "\n", "# setup the model for training\n", "model_dnn.compile(optimizer=optimizer, loss=\"categorical_crossentropy\", metrics=metrics)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Fit or load the model" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "slideshow": { "slide_type": "-" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "loading model from /tutorial/data/lbn/models/dnn_pretrained\n" ] }, { "data": { "text/plain": [ "array([[0.06204645, 0.93795353],\n", " [0.11479812, 0.88520193],\n", " [0.5097143 , 0.4902857 ],\n", " [0.24645518, 0.7535448 ],\n", " [0.33288965, 0.6671103 ]], dtype=float32)" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# set this flag to True in case you want to train the network\n", "do_fit = False\n", "\n", "if do_fit:\n", " # run a new fit for 1 epoch, store the weights as \"dnn_v1\"\n", " fit_model(model_dnn, \"dnn_v1\", epochs=1)\n", "else:\n", " # load the pretrained DNN-only model\n", " load_model(model_dnn, \"dnn_pretrained\")\n", " \n", "# make a test prediction for the first 5 validation events\n", "model_dnn.predict(vectors_valid[:5])" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "# run the prediction on the full validation set\n", "pred_valid_dnn = model_dnn.predict(vectors_valid)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "slideshow": { "slide_type": "-" } }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# plot the output distribution\n", "fix, ax = plt.plot_lbn_outputs(\"Output distributions (DNN-only)\",\n", " pred_valid_dnn, labels_valid)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "slideshow": { "slide_type": "-" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ROC AUC: 0.933\n" ] } ], "source": [ "# compute the ROC AUC score\n", "auc = roc_auc_score(labels_valid, pred_valid_dnn)\n", "print(\"ROC AUC: {:.3f}\".format(auc))" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "#### ROC curves" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "slideshow": { "slide_type": "-" } }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# plot the ROC cuves, i.e., background rejection vs signal efficiency\n", "fig, ax = plt.plot_lbn_rocs(\n", " dict(label=\"LBN+DNN\", labels=labels_valid, prediction=pred_valid, color=\"blue\"),\n", " dict(label=\"DNN-only\", labels=labels_valid, prediction=pred_valid_dnn, color=\"red\"),\n", ")" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "#### The full picture" ] }, { "cell_type": "markdown", "metadata": { "cell_style": "split" }, "source": [ "
" ] }, { "cell_type": "markdown", "metadata": { "cell_style": "split" }, "source": [ "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "- Plots from [arXiv:1812.09722](https://arxiv.org/abs/1812.09722)\n", "- High-level variables from *JHEP* **03** (2019) 026, [arXiv:1804.03682](https://arxiv.org/abs/1804.03682)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "#### LBN introspection\n", "\n", "
\n", "\n", "1. Investigate particle and restframe weights (for generator ordered jets)\n", "2. Study created features " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "#### Weights in combination layers" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "scrolled": false, "slideshow": { "slide_type": "-" } }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAe8AAAFbCAYAAAD80gauAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAASdAAAEnQB3mYfeAAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi40LCBodHRwOi8vbWF0cGxvdGxpYi5vcmcv7US4rQAAIABJREFUeJzsnXd4VEXbh+8nWUpIp4QaJTSlhCJNQHoJgnSlKUWkdwQU+BQQXl4LQYq8FEGUKqBIk14EREFRCB3pSq+BJJC+8/1xNmHTgLC7WSJzX9e5Nmdmdn7POZvd58zMMzOilEKj0Wg0Gk3mwcXZBmg0Go1Go0kf2nlrNBqNRpPJ0M5bo9FoNJpMhnbeGo1Go9FkMrTz1mg0Go0mk6Gdt0aj0Wg0mQztvDUajUajyWRo563RaDQaTSZDO2+NRqPRaDIZ2nlrNBqNRpPJ0M5bo9FoNJpMhnbeGs1TjIgMFJFjIhIpIkpEBjvbpn87IlLYcq+/sUNd50XkvO1WaTRJ0c5bo3ESFgex4yH57YGpQBQwBfgI2Jsx1mmcgT0fHDT/bkzONkCj0aTJawmvSqnLTrXk2eISUBK462xDNJq00M5bo3l6KQCgHXfGopSKBU442w6N5mHobnPNM4t1F6WIlBCRZSJyXUTMIlLHqlxOEflYRI5bxp7visg2EWmUSp1ZLePU+0UkVETuW8Y9V4tIA0uZriKiLG+pbbEh4RhrORRQ11I+Md9KR4nIDhHJJyJzReSSiMSLSFdLfgkR+URE/hCRGyISLSJ/i8iXIlIoFbvrWOlXEpGNlusMFZEVIuJvKVdERJZa6owUkZ9EpFwa9zeHiIwUkRARuSciESKyR0Q6pOMz2iMiMSLinix9p8Xer5Kll7SkL0iWbhKRviKyV0TCLJ/LARHpLyIuycqm2XVtua8rLPflnoj8KiJNEz7ThPufyvvcRWSiiPxj+SxOi8j7IiJWZcYC5yynXZL9X3S1lBER6WLRvSEiUSJyQUQ2iUi7x72vmsyPbnlrNFAU+A04CSwG3IAwABF5HtgBFAZ+BjYC7hhd2htFpJdSao5VXd8AHYAjwAIgEqMF/QrQGNgKhGCMX48B/ra8J4EdVn93BZ63lE2NnBhj4BHAD4AZuGbJaw30Bn4CfgVigNJAd6CZiFRSSl1Kpc7KwPvATmAOEGipq4yItAB2Y7RKF1hsaw1sEZEiSqmIhEpExAfYDlQA9gPzMBoLQcASESmtlPogjeuyZhvwMlAT494jIjksaQD1k5Wvb/W+BFuyAGst2n8BSzDiCOoCXwBVgU6PMkREXsS4l77AOuAQUARYCax/yFuzAJsw/g82AHFAS+ATIDsPPt8dgA8wCDgIrLKqI8TyOgEYieHkl2N07efH+NzeAJY96jo0/xKUUvrQxzN5YDhkZTn+m0aZHRhOsX2ydB+MH9RIIK8lzdtS9g/ANZW6ciU7V8COh9i3w/iKppqXYPcCwJRKfkEgWyrpjYB4YGay9DpWdb6ZLO8rS/pt4P+S5X1oyRuULP0bS/p7ydKzYzhhM1D+MT6jepZ6JlqlBVnSNltei1rlrbSk+VuljbWkfWH9uQCuVtfWIpX/i2+S2bLNkt4nWfqrVveua7K885b09YCbVbofcMdyZHmUtlX+LeAikCOVvNzO/k7pI+MO3W2u0Rit1RStW0t3cG1ghVJqqXWeUuoORss5O9AmIRkQIBrDOZHsPbfsazYxwDClVFwqWpeUUtGppG8GjmI4wNTYrZRanCxtvuX1LkZr0ZqE7unyCQkikgt4C/hDKfVZMv0ojJa9AB3TsMGaXzFaydYt7PoYrdcxVudYur/rAKeUUhes0gYAV4EhSql4K1vigaFYHlgeZoRl2KAecBqYneyaNmD0qDyMgUqpSKv3XAdWYzzwvfCI9yYnFuMBLAlKqZvprEeTidHd5hoNHEzN0QHVLK/elvHI5OSxvJYEUEqFichaoBkQIiIrMLraf1NK3bezzQDnLU4gBZax1Dcxut7LYXT1uloViUmjzj9SSUsImAuxdn4WErrercfRK1u0VBr3LYvltWQaNiSilIoSkV+BuiKSy/IAVA/Yp5TaIyLXMJz3l8BLGD0i1l3HJTCGF04BH1gNMVsT+Ri2JDyc7FFKpXgwwxhOaJDGe+8qpU6nkn7B8ur7CG1rFmM8jBwTkeUYwxt7lFI6Mv4ZQztvjcZolaVGLstrQ8uRFh5Wf7fDaFl25EFrPkpEvsdoJV9L/mYbSMtugM+BwcAVjPHWSxhOCh6MpadGak4gLq08pVScxSFmsUpOuG+VLUdaeDwkz5ptGA67rohswxhH/68lbzvQwPKwkmK828qW4jxoqT+JLd6W17Q+v4d9rnfSSE+4r65p5KfGEOAs8DYwwnLEich6YGgaDwmafyHaeWs0RrdpaiQ4q0FKqWmPVZHRNToWGGvpaq2F4SzfwhjPrGmLocnlUksUET9gIEbQXHWlVHiy/MeO9n5CEu7bZKXUu3aob7vltQHGcIQLDxz0dowAwXIYzlthBOklt2WlUqq1DTaEWV7zppGfVrpdsfR8TAGmWD7nV4D2GMFqpS2BgKn1Imn+Zegxb40mbRJWM3sih6uUumAZPw7CGCt9xTIenICZ9LW6HpciGN/tzak47kKWfEfyO8a12etBZR+G86yP0QKPBPZY8hKceBOgBnAo2djvCYyW78uWqPMnJSHau1ryqWUWXrGhbmsShiUe+X+hlLqulPpBKdUW4yGmKFDGTnZonnK089Zo0kAp9QfGmHVrEemWWhkRCbS0gBCRPCISmEoxd4xu2TiSjjXfAvztazVgRDiD8bCQ6ARExANj+pdDe9ws4/CLgUoi8qG1DVa2FBWRgMesLx7YBRTDaGHuTmhdKqXOYVzvICAHD1rpCe+Nw4gyzw9MExG3VGzJLyKlHmHDPxjR/8WAXsne35i0x7vTSyhG78FzqdiZTURqpJKeBWNcH8ARsRWapxDdba7RPJyOGA7hKxEZiDEf/A5GgFZZjJZONeA6xvSsAyJyGGMO8AXAC2NOeD5gWrKW8DagvSXIbT9GFPEupdQuWwxWSl0VkaUY3akhIrIZY8y2IUbkdghW0eEOoj/GOPM4oJOI7MYYFy6AERxWGaO7+1yaNSRlG8Z99CPpmHZC3jtWfydnPEa3em+MOe7bMWIA/Cw21gD+Dzj2CBv6Ab8AM0SkCQ/mebfBiBxvQSqzDNKDUipCRH4DaorIYoy1B+KBNcA/wG4ROQ38ibFGQHaMz7UksEYpddwWfU3mQTtvjeYhKKUuikhFjAjfNhgR3K4YwWLHMFp1hy3Fz2MERdXBWAAkN8bc6L8wAouSTDfDaC0qjO7gJhg9YR9htDJt5R2MwKZ2GE7nBoYDGA2ssEP9D8USeV8b6InxANQGw9Fcw4j8HgJsSUeV1k55eyp572D0bKS4d0qpWBFpiRF30BXjIcAD456cw5irnnx6XGrXdExEqmEEy9WzHIeAVhjOswUPxsZtoRMwGWNRnw4Y0+ouAscxgiHrAtUxFnoJB84AfTAWwtE8I4hSacXqaDQajeZxsLSSOwIvKqX+crY9mn8/esxbo9FoHgMRcRGRfKmk18fo4TimHbcmo9Dd5hqNRvN4ZAUuiMhPGFHscRjrxTfECETs50TbNM8Yuttco9FoHgNL1PwUjLHuQhjR7Tcxxtk/UUodcKJ5mmcM7bw1Go1Go8lk6DFvjUaj0WgyGdp5azQajUaTydDOW6PRaDSaTIaONrcTIuKNsffzBdLeblGj0Wg0GjBmL/gDO59kS1ftvO1HbYwlEjUajUajeVxaYKx+mC6087YfFwC+/+EzihYrlOHiSjmnsS+SzSm6AC7kcIpunLruFF2Au9Hhjy7kIC7ft8fKn+mnfO5aTtF9VjGrKKdpX7x3yCm6+XM4eqO9lJw5fYHXWw8Fi+9IL9p5248YgKLFClGqdMb/IzhrC1+XlJs0ZZw27k7RjVXOeWgAuB11x2na2SNCnaJbOu8LTtF9VjEr521M5hZ+2ym6z3sUdYquhSdqeemANY1Go9FoMhnaeWs0Go1Gk8nQzluj0Wg0mkyGdt4ajUaj0WQytPPWaDQajSaToZ23RqPRaDSZDO28NRqNRqPJZDz1zltE3EQkXkRGOdsWjUaj0WieBp565w2UwrDziLMNcQTXrt2i85uj8c//Kn45G1CrRnd27dxvd53ly7ZRr3Z/8vi+SnZTbeLi4pLkHz50hvp1BpDTK4gA/9aM/+hrHLXX+7Vrt+j05gcUyt+YPDnrUbNGN4dc88No03ogJtfSbN26x+51L1/2E/VrD8HPtwVupobExcUn5v3+23HatPiQwgXb4ufbgkrle7Dgm4120f3v6EXUr/IuL+TvTIWiPejbdQqXLt5MUubShRt0fv1jSuTrRJnnuvF/784lJibWZu2vgtfyetVRNCw+kFdLDWFw+ymcPJJ04ajTxy7Sp+VE6gX0p3m54cyduMZh/2NKKcaMCaZAgZdwdy9GrVqtOXLkhEO0ngZdZ2qP++gLiherh69PBfzyVKFx47cJCTlmd52JY5bStNoIyhfqTvUS/RjcbTpXLt5KtezlCzep4N+DV0oOsLsdAOUC38DX65XEw9ujOlldK7Jq5XaH6KVGZnDegZbXo061wkEM7DeRixevsf/QEq7c2ESrNnVp1XwYt2+ne536h+Lr40mvPi2Z+Hn/FHnh4fdp1mQY1aoHcunaGtaun8g389bxxdTv7GpDAgP6fcbFi9c4cOhbrt7YQus29WnZ/F27X3NaLFywmvv3Ix1Wv6+PBz37NGPi531S5N2+FUbL1q/w+4HZXLu9ikmT+zFsyEzWrP7FZl0RYfLsfhz++yt2/DkFEej6xieJ+WazmS6vf4KPrwd/npzNxt2f8tsvx/nP/y20WbtBy8rM2/R/bDk1jTUhE6lSuxRD2k8hPt4MwL2IKIa0n0LZykXZcOxzJi8dxNolu1n25VabtVMjOHgW8+YtZdOmxdy8eZgaNSoTFPQmERH3HKLnbF1nardr35Tf960k9M4BLl7aTaOGr/Bq427Ex8c/+s3pQET4dEYvfj87i42/f4aI0LP9pBTllFKM6Psl5SsVs6u+NQcPf0do2O7EY8LHA8iVy5vGr9ZwmGZyMovzvg+cdbYhjuDMmYu0alOPPHl8cXV1pUfPVkRE3Of0qSda7jZNGgZVoV37BgQEFEiRt2rlLuLjzYwd1w03t2yUCSzKkKHtmTljpV1tSODMmQu0blPf4decGhcvXmX06GnM/vIjh2k0DKpMu/b1CAjInyKvcZOqdOoShJ+fLyJC7brlqV23PDt3hNisO/KjNylboShZs2bB28edPkNacOzw39wJjQDgt1+Oc+qvS4z9uAueXjko9Fwehn/YniXztxMVZdva+M8Xy4eXj7FcrVIKV1cXQm+GExZqOI6d6/YTH6/o8X4LsrllpWjJQnTsG8T3836y7aLTYMaM+Qwb1pvAwJK4ubkxfvxwYmJiWLlyg0P0nK3rTO0XXiiCr6838OCzv379Frdv23cp32Fj21GmQgBZs5rw8nGnx6DXOHH4H+6GJn04WfjlFtw93Xjt9Wp21X8Ys2d9T9duLcmePeP2esgszvs48LKI7BCReyJyQkQ6OMsgEfETkdLWB/BEi+MOG96Jtat3cuXKTWJj45g143uKFC1EYFnHPTUm51DIacqVL47J9GCp+4qVXuTc2cuEhdn/qX3Y8M6ssbrmmTO+o2gGXLNSiu7vfMioUb147rmUDzHOICzsHn/8foLy5e1/7bu2HaLQc3nw8fUA4Oih8zwX4EfO3F6JZcpVLErk/WjOnr5is94vWw7RqMQg6jzfj2ljvqNdrwb45vYE4NTRC5QI9Mdkck0sX6p8YS7/fZN74fbtBbl7N4zz5y9QpUr5xDSTyUSFCmU4cMBxo2/O0nW2NsC6dT+R0/clcriVYejQjxk8+G3y5MnlUM3d2w9T8LncePs+2OPg/JmrzJn6I+Mmv+1QbWt+2v47p07+Q89ebTJMEzLHxiSBwF1gGTAHWAH0BZaIyFml1G9OsKkvMMYeFVWrUZbFizZQuNBruLq6kjOnF8tXfIKbW3Z7VP9YhIXfw8fHI0mar+UHPyzsHl5e9t0ApHqNcixZtIHnCzVJvObvVnzm8GueNWspSil69GzrUJ3HJSYmlk4dJlDiBX86vNnArnXv+ukQn3/8HXMWD01MCw+PxNs76WfpbWktR4TZvhlFjYZl2XxyKmGh91i//Ff88vsm5t0Lj8LTK+mGLp7eORLz3D3tt8FNWJix85qPj3eSdF9fb8LCIuym87ToOlsboGnTutwO3c/t23dYMH8lBQvlc6jeLz8dYfqnK5m+cGBiWny8mfd6z2bYmLbkyevjUH1rZs38nqCgagQEFMwwTXjKW94ikhvIB+QBaimlxiulvgAaYezE0s1Jps0AyiQ7WqS3ErPZTFCD/uTLl4srNzYRdn8nM2aPpMVr73Iw5KSdTU4bL0937txJ+gUPtXS12ttxG9fcl7z5cnH1xhbC7//MzNmjaP7aYEIceM1nzvzDhP/M4ss54xymkR7u34/i9ZajiY6OZcXq8UlapLayZcOf9HprEl/MHUDdhhUS0z093bh7N2lPyt07xrmHl/12SvPydadtj/p8PHQBp44aQyHuntkJT/aAEH73fmKePfHyMlr7d+4kjaEIDb2Ll5dHam/J1LrO1rYmZ04fBg7qQs8eozh48LhDNLZvPMCALtMI/rI3tRqUS0yfO/VHfHN50KLdKw7RTY3Ll2+wds0OevV5I8M0E3iqnTeGUwSYoJQ6n5ColLoA/AUEAIhBhIjktYeoiPwoIh3TyldKXVdKHbU+gDPp1QkNDefc2Uv0G9CWnDm9MZlMNG9RiyJFC7Jl816briE9lC1fjIMhp5JEoO//8wQBRQrY3XmHhoZx9uwl+g1oZ3XNtSlStBBbNts/8juB3T//ya1bd6hS+Q3y+tUgr58RWNL2jcH07mWXTpTHJjQ0nCaN3sdkcmXVjxPw8LBfq/OHZT8z4J2pzJw/hFebV02SV7psYS6cv87tWw/2BD+0/wxuObJRpFjK8XlbMJsVcXHxXDhr7H1evLQ/Jw9fSBJ5f/zgeQo8n9uurW4Ab28vChf2Z9++g4lpcXFxhIQcpUKFMg95Z+bUdbZ2csxmM7GxcZw6dd7uda9e/gtDe8xg6rz+NGpWOUnerm2H+G33caoE9KZKQG/Gv7eAG1fvUCWgN3t2Oibeee6cH/D3z5ehgWoJPO3OOyHSfFEqeWaMQDYwnHiMUuqanXRLkgFT03Ll8ubFkoWZNeN7wsLuYTabWffjbo4dPUeFl160q1Z8fDxRUdHExBgOOjo6lqioaMxmMy1b1cLV1YVxY78mMjKao0fOMvnzZfTu09KuNgDkyuXDiyUDmDXjO8LCIizX/DPHjp7lpZdK2l0vgTfaNubU6U38uX9F4gEwc+YY/vvxELtqGfc6JnEKVnR0DFFRMZjNZq5evU2jekMp5J+HZSvGkj17Vrvpfj1rAx8M/Yr5342kToPyKfKr1ihJsRIFGTdqPhHhkVy6cIOJ/1lGh871bLZj2Zxt3L4RBkDozXCCRywhSxYTZasYoSC1m76Eq6swd+IaoiNjOHP8Et/O3Eybt+vapJsWfft2ITh4FkeOnCAyMpIxY4LJkiULrVq96hA9Z+s6U3va1G+4ds2Yknjjxi369R1L1qxZqFGjol11Fn65mXHD5vPlsqHUbFA2pR3zB7Lht09ZvXsCq3dPYNCoNuTK48Xq3RN46eUSdrUFjIejeXNX0r1na1xcMt6VPu1j3oHAZaXUdetEEckBvAissSSVwQhqsxkRyQ4UAjJkcub3Kz9j5HvTKVXidaKioinkn5fJU4dSv0EVu+osXrSZnu88mDaUy7sxAJu2TqF2nQqsXR/MoAGTKeDXDC8vd7r3bM7AwY4ZG16xciIj3ptGyRJtiIqKoZC/H1OmDrP7NVuTI4cbOXKkbOHlyu1Lzpz2HR9bsmgrPd8JTjzP7d0cgE1bg/l51yGOHD7H2TNXyJ+7VWKZGq8Esnrdf23S/WDYPEwmV95qPSFJ+qIf/o+qNUri4uLCN9+NYOSQOVQo1oOs2bLQ8vUafDChk026APt2HmPB1PVE3ovG3TM7JcsXZuryIeS2jD26e2Rn8tLBTBq5hMalhuDu4UbLzrVo38u+Y/0JDBvWm/DwCBo0aE9YWDiVKpVj48ZFeHjYtyfpadF1pvaWrb/w8ceziIi4j5eXB5UqB7J5y3zy5/ezq8644QswmVzp/vrEJOlzvx9O5eovkssqEBPAy8cdF1cX8hd0TODcmtU7uXXrLm93S/eIqV0QRy2SYA9EZA9QUCn1XLL0fsB0oIJSKsSy+lp5jJZ4S+Ay0EwpdUZEngO+BCoCWYBvgb7KcuEiYgLGA72BW8B/gWFKqVLptLU0cOTAoSWUKl3kia/5SVEqOsM1AVzEvl2e6dLG8T+IqRGrLjtFF+B2lH2n36SHvyNCnaJbLW9Tp+g+q5iV7cGLT8rZcGfEH8PzHo7r9UuLo0fPUKFsW4AylqHXdPHUdpuLiGC0qAuKSFGr9DzACGCNUiphcmwZoDowG8iF0eWdEMzmCUwACmC05JsBdaykPgXKYXS91wU+4l+6mptGo9Fo/h08zd3mhQEP4E9gnYhMA3IA/THGu3talS0DfKCU2gMgIqcAAUj2RHNBRH4HfC3lCgA9gGJKqTvAHRH5lX/pam4ajUaj+Xfw1La8eRCs1h3YitGd/X/ATuDlhOA0S7f3C8B6q/eWxjJmLSKdROR3EbklIncwpnQlzEmqD+xLNqaeB93y1mg0Gs1TzFPrvJVSa5RSopQKUUr1V0r5KKV8lVJdlFLWy0GVAG4nc8BlgUMiEgSMwngA8MMIcovkQTBabiBx5wYRyYfR/a6dt0aj0WieWp5a550OygCHEk5ExBMoCBzDcOLnLX8XxJhydlIplTCh+S+gjoj4W8bS5wMKOJ1h1ms0Go1Gk06e5jHvxyWJ87acn1RKxYjIYuANIBT4HaNFbT2fYCOwAWOM+yKwHcijlDJnhOEajUaj0TwJmd55K6VGJzvfg2W8XCl1GUhz8rDFSXe1HBqNRqPRZAr+Dd3mGo1Go9E8U2jnrdFoNBpNJkM7b41Go9FoMhmZfsz76UMshzN0M55bURecoguQ182+Gx88LibsuwNXesiXI8Bp2pfu7XCatibjiFd3H13IQWR1yeIUXXGCKxRs2wZYt7w1Go1Go8lkaOet0Wg0Gk0mQztvjUaj0WgyGdp5azQajUaTydDOW6PRaDSaTIZ23hqNRqPRZDK089ZoNBqNJpOhnbdGo9FoNJkM7bw1Go1Go8lkPBPOW0Q8RMQsIkMs564iEiki/3G2bdeu3aLzmx/in78xfjnrU6vGO+zaud/uOsuXbaNe7f7k8W1MdlMt4uLikuQfPnSG+nX6k9OrEQH+rRj/0TyUUjbrrvpuNy0afkDxfG+R370NcXHxSfK3bPiDRjWGUzzfW1R8oRfTJv5gs2ZajBjxCWXLBuHtXYYCBSrTseMALly47DC9BMZ99D+yZSmLj1flxOOtjsMdrgswcsRnlCvbBB/vchQsUI2OHQc75Jqnj/+eDrXHULdof14NHMoHvb7k2qXbScoc2neGHs0/pV7xATQuPYQpY5YRFxuXRo22oZRizJhgChR4CXf3YtSq1ZojR044ROtp0HWmdrnAtvh61Uw8vD1qkNW1EqtW/mRXnU9GL6FR1WGULtCVSsV6MeDtqVy+eDMx/+ypy/TtPJmqL/ShVP4u1Ck/mFlT1tjldywt9uw5SMMG3fH1rkbunK9Q85XOmM0Zs6P0M+G8Mfb4FuCw5bw4kB0IcZpFFgb2+4yLF6+x/9C3XLmxmVZt6tGq+VBu37bvEoW+Pp706tOSiZ8PSJEXHn6fZk2GUq16IJeurWXt+mC+mbeOL6Z+Z7Out487XXsEMe7Tt1Pkhfx5mh5vBvPuyDf46/ICvln2PnNnrGPujHU266aGiPD118HcuLGfY8e2IiI0b/6OQ7SS83K1ctwJ25d4LFoyMUN0RYR5X3/G9Rv7OHpsEyJCi+a9HKIzetrbbD4+heW7x4PAu52+SMy/evEWg9pPpnGbqmw+PoW560ayZ/sRvhi/wu62AAQHz2LevKVs2rSYmzcPU6NGZYKC3iQi4p5D9Jyt60ztg4eXExr2c+Ix4eMB5MrlTeNXq9tVRwQmzerLgfNz2fbH5yDCO20/S8y/e+celau/yKrt/+Ho5W+YPn8Q82asZ96M9Xa1I4E9ew7SrGk/OnduwaUr27l6fQfBk4YhkjFLVT8rzjvQ8prgvP8C3ADH/HKkgzNnLtKqTT3y5PHF1dWVHj1bERFxn9On7LtmeMOgKrRr34CAgAIp8lat3El8vJmx497BzS0bZQKLMmRoe2bOsL0VXLdhBVq1rcnzAXlT5P24cg/Vapam8WtVcHFxIbB8ETp2rc+8WY75sn388ftUrBhI1qxZ8fHxZvjwXhw8eJzQUOet5exo/vvxcCpWLGO5Zi+GD+/hkGvu90EbSpYrTJasJjy9c9C5f2NOHb1A2B3Dcezeeojc+Xxo06UOJpMrhQr70aFXQ1Yt3EVMdKxdbQGYMWM+w4b1JjCwJG5ubowfP5yYmBhWrtxgd62nQdfZ2tbMnvU9Xbu1IHv2bHat9/2POhJYoQhZs5rw9nGn9+DmHDv8N3dDIwCoULk4b/d+lfwFcyEilCkXQNNWL7Nn1zG72pHAyBGTebtbSzp1bkaOHG6YTCaqVi2rnbedCQRuKKWuASiDKOXI/pTHZNjwzqxdvZMrV24SGxvHrBnfU6RoIQLLFsswGw6FnKZc+eKYTA8W569Y6UXOnb1MWJjjntqVUim6tMxmxbkzV4kIj3SYbgKbN//M888XxNfX2+FaIQdOkD9vTYoGNKTTm+9x7txFh2umxpbNuzPkmvfuOEp+/1x4+bgbCYoUn7UyKyLvR/PPmWt21b57N4zz5y9QpUr5xDSTyUSFCmU4cOCIXbWeBl1na1vz0/Z9nDr5Dz17tXG41s/bDlLouTx4+3qkmh8XF8+eXUfuWGGeAAAgAElEQVQpXa6w3bXv349kz68HcXV1pdrLHcmbpxZVKrfnhxVb7a6VFs+S805odSMiP4jIwSetTET8RKS09QEUfZK6qtUoS7Zs2ShcqCne7rWY8vkSvvp6NG5u2Z/UvHQTFn4PH5+kXwBfX08jz4HOu1HTyvy66yjrVu8lLi6ekP2nWbpgO2B05TuSrVt3M27cVGbOnOBQHYDWbRpx6MhqLl/dxa7di0CExo26ExHh2GtMztatvzBu3BfMmDnOoTq/7zzG3OC1jPisU2Lay3VLc+3SbZZ/tZ3YmDj+PnOVpXOMH7p7EfZ9UAsLCwfAxyfpA4qvrzdhYRF21XoadJ2tbc2smd8RFFSNgICCDtXZ/dMhpnyygglTuqear5Ri1KA5xMbG02PAa3bXv307DLPZzMIFa5j2xSguXdnOyJHdeevN99mz54ldS7p4Jp13KufppS9wJNmxOr2VmM1mghr0I1++nFy5sZmw+7uYMXskLV4bwsGQkzaYlz68PN25cyfpFzw01Pgx8PJyd5hu1eolmf7VQKZ8+j2BhbsxashcuvQIwsXFBW+f1J+m7cGPP27jjTf6sHDhZBo3ruMwnQTKlCnO888XQEQoWDAvc78az6VL19nz6wGHayfw44/baftGfxYsnETjxrUdpvPz5oOM6D6Tj2Z0p1q9MonphQr7MWnhQDav/I1Xyw7l/bdn0PzNmgD45PS0qw1eXkZ9d+4kHRoIDb2Ll5fj/q+cpets7QQuX77B2jU76dXnDYfqbNvwJ306TWbKnP7UaVg+RX58vJnhfWYS8sdpvl03Gg9PN7vb4OmZA4DOXZpTuXIZTCYTrVo3oE6dyqxZvd3ueqnxr3feIpIfyIXhYBERN6BIwvkTMgMjCM76aJHeSkJDwzl39hL9BrQjZ05vTCYTzVvUpkjRQmzZvNcG89JH2fLFOBhyKkkE+v4//yKgSAGHOm+A5m1qsOXXYI5fnM/6nZ9w9849KlYtQY4c9h0vS2Dx4lW89dZgli6dTqtWjR2i8ShEBBEhowZtFi9eTae33uXbpVNp1aqRw3Q2fr+X0X3nMuHLXtRt8lKK/Cq1SjL3x5FsPTGVpbvG4eriQt6COXmuaMp4CFvw9vaicGF/9u170AKKi4sjJOQoFSqUecg7M6eus7UTmDvnB/z989k9UM2alct+ZlD3L5j+zSAaN6+SIj86OpY+b33OyRMXWb5hLH55fRxih7e3J0WL+mfY+HZq/OudN1DW8prQ0i6Fcd1P3PJWSl1XSh21PoAz6a0nVy5vXixZmFkzvicsLAKz2cy6H3dz7OhZKrz04pOalyrx8fFERUUTE2MEB0VHxxIVFY3ZbKZlq9q4urowbuzXREZGc/TIWSZ/vpTefVrZSTeGmBjjwSAmOpaoqBjMZjNms5kDf5wiLi6e+/ejWb54B0sXbueD8Z0eUeuTMX36fAYMGM3atV8RFOS41mdyvlu+kZs3QwG4du0mPXuMJm/eXFSrnrLVYG/+N30BAwd8xJq1cwgKquUwneVfbWfiqCV8vmgA1eqm7iyO7j9LTHQssTFx/LwphHlTfmTg6Ncd8gPYt28XgoNnceTICSIjIxkzJpgsWbLQqtWrdtd6GnSdrR0XF8e8uavo3rMVLi6OcSvfzN7I6GFfM2/5+9RukPK7cy8iiq5tPuFOaARL1n6IT07H9jj07d+BBfPXEBJyArPZzNo1O9i1609atqrvUN0ETI8ukukJBBRw1HKe8MtiPQbeB+hhKTtBKTU2o4z7fuVERr73BaVKvE5UVDSF/PMyeepQ6jdI+VRpC4sXbabnOx8nnufyDgJg09ap1K5TgbXrJzFowGQK+L2Gl5c73Xs2Z+Dgtjbrfr9kJ4N7/y/xvKjfmwCs2PARlau9yKh353L65CXMZkW5l4qycMUoqlSz74NLAgMHjsFkMtGkSdck6evXf0PNmva939YsWfwjAwdM4N69SHx9vahZsyIbN8/F09OxvRoAAweOw2Qy0bRJ0ilx69Z/Rc2ale2mEzxqCa4mVwZ3mJokfcq3g6jwcgkA5k1ex4G9J4mLjSfghQL836Qu1H61gt1ssGbYsN6Eh0fQoEF7wsLCqVSpHBs3LsLDw7H33Fm6ztZes3ont27d5e1uLR2mMWbY15hMrnRp83GS9PkrRlKlRkk2rP6NX3ceIVv2LFQu/mA6ZEH/PGzdN8nu9gwc+CaR96No1WIgd+6EU6z4cyz59jOqVi376DfbAXkKAq4diojMB15RShW1nE8EeiqlvK3KtATMQEfgxJM4b0vQ2pEDh76lVOkidrE9PSgVneGaAKHRN5yiC5DXraJTdONVxgUAJcdFMi6QMTl/3tjhFN3Kfo5vOWoeEGu+4jTtK/fT3YFpFwrkcEyD4WEcPXqa8mXbAJSx9N6mi2el5W3dRV6GZOPdSqlVACLSJAPt0mg0Go3mifhXj3mLiCtQkkc4b41Go9FoMhP/aufNg2VQDwOIiDdQCNumiWk0Go1G41T+7c47YVnUhJZ2imA1jUaj0WgyG//qMW+l1HcYG5IkkNyZazQajUaT6fhXO+9UqAecVkrdsk4UERPGvXAFTCKSHYhVSsWnUodGo9FoNE7l395tDoCI1BSRCUBrYFEqRT4AIoHuwP9Z/nbMSiEajUaj0djIs9Ly/gwoDEwF/ps80zKve2yGWqTRaDQazRPyTDhvpVQ1Z9ug0Wg0Go29eCa6zTUajUaj+TfxTLS8MxKzisCswjJc9050xmsC5Moe4BRdAIXZSbpRTtEFELycpq1wzlLKSjnncwYQefbaNybxc5p2IfdcTtGNNZ/PcE2zuvvoQg/h2fvP1Gg0Go0mk6Odt0aj0Wg0mQztvDUajUajyWRo563RaDQaTSZDO2+NRqPRaDIZ2nlrNBqNRpPJ0M5bo9FoNJpMhnbeGo1Go9FkMmx23iLiJSIjRGSTiBwQkSqW9Jwi8q6IFLPdTI1Go9FoNAnY5LxFpBBwABgHFALKAh4ASqnbQC9ggI022oyIeIiIWUSGWM5dRSRSRP7jbNs0Go1Go0kvtra8JwKeQHmgNiDJ8lcBDWzUsAdlMGw7bDkvDmQHQjLSiOXLfqJ+7SH4+bbAzdSQuLgH24X//ttx2rT4kMIF2+Ln24JK5Xuw4JuNdtNe9d1uWjT8gOL53iK/e5sk2gBbNvxBoxrDKZ7vLSq+0ItpE3+wm3Zq7N1zkEYNepLT+xXy5KxFrVe6YjY7dhnMkSM+pVzZxvh4l6Vggap07DiQCxcuO1QToFxgW3y9aiYe3h41yOpaiVUrf3K49tKla6hVqw3e3qVwcXmOuLg4h+j8b/wKOtYeS92iA2gSOIwPen3JtUu3k5Q5vO8MPZt/Sv3iA2lc+l2mjllOXKxj7FFKMWbMJAoWrIiHRwlq127DkSMnHKKVUjeYAgVewt29GLVqtc4QXWdqZ9T/WHIefJ8DKVigikO/z8uXbade7YHk8W1KdlPdJL+fkZHRdGw3ltIvvoVblnqM+fArh9iQHFuddyNgmlLqGKS68PFZwN9GDXsQaHlNcN5/AW7Aiow0wtfHg559mjHx8z4p8m7fCqNl61f4/cBsrt1exaTJ/Rg2ZCZrVv9iF21vH3e69ghi3Kdvp8gL+fM0Pd4M5t2Rb/DX5QV8s+x95s5Yx9wZ6+yinZy9ew7SrOkAOnVuzsUrW7hyfTvBk4YikvzZz76ICPO+nsj1G39w9NgWRIQWzXs4VBPg4OHlhIb9nHhM+HgAuXJ50/jV6g7X9vX1pk+fzkyePMaxQiJ8OO1tNh+fzLLd4xARhnb6IjH76sVbDGw/hcZtqrLp+GTmrhvBr9uPMH28Y76CwcGz+frrZWzcuIgbNw5SvXplGjd+i4iIew7Re6A7i3nzlrJp02Ju3jxMjRqVCQp60+G6ztTOsP+xZDz4Pv/J0WNbLd/n7g7R8vXxoFefFkz8vF+qdrxcrTT/mzmUypVfdIh+atjqvN2AGw/J97SxfnsRCNxQSl0DUAZRSqkM3WmhYVBl2rWvR0BA/hR5jZtUpVOXIPz8fBERatctT+265dm5wz6dA3UbVqBV25o8H5A3Rd6PK/dQrWZpGr9WBRcXFwLLF6Fj1/rMm7XeLtrJGTliKm93a0mnzq+RI4cbJpOJKlUDHe68//vxe1SsGEjWrFnx8fFi+PBeHDx4nNBQ2zYISC+zZ31P124tyJ49m8O1goJq06FDC4oUec6hOv0+aE3Jcs+TJasJT+8cdOofxKmjFwm7YziOX7YeJk8+H1p3qYPJ5Eqhwn507NWQVQt/JiY61u72zJy5gKFDexEYWBI3NzfGjx9GTEwsK1farzcrNWbMmM+wYb2tdIcTExPDypUbHKrrTO2M+h9LTkZ+nxsGVaFd+/oEBBRIkZc9e1YGDn6DOnUrkC17Vrtrp4WtzvsYUOsh+S0xxsSdTSAPWt2IyA8icvBJKxMRPxEpbX0ARe1haAJhYff44/cTlC/v+Hg/pRTJn2PMZsW5M1eJCI+0q9b9+5Hs+fUQLq4uVH+5E/ny1KVq5Y78sGKbXXUehy2bf+b55wvi6+udYZo/bd/HqZP/0LNXmwzTdAa/7ThGfv9cePm4A2n/j0Xej+afM9fsqn33bhjnz1+gSpXyiWkmk4kKFUpz4MARu2o9nm4Zh+o6W/tpYcvmXRn+fXYmtjrvKUB7EXkfSLhjLiJSTEQWAtWAyTZq2IMkzjuV8/TSFziS7FhtQ31JiImJpVOHCZR4wZ8Obzo+ZKBR08r8uuso61bvJS4unpD9p1m6YDsA4eH37ap1+3YYZrOZRQt+ZNoXI7h4ZQsjRr5DpzdHsnfPEz9PpZutW3czbtw0ZszM2JjFWTO/IyioGgEBBTNUNyP5fecx5gav5f3P3kpMe7luaa5dus13X20nNiaOf85cZemcrQDci7DvFqthYREA+Pgk3T7V19c7Mc8RhIWFW3STOg9H6zpb+2ngwfd5grNNyTBsct5KqUXAaOA/wElL8kaMMeX2wCil1CqbLLQREckP5MJwsIiIG1Ak4fwJmYERBGd9tLDNUoP796N4veVooqNjWbF6PCaTqz2qfShVq5dk+lcDmfLp9wQW7saoIXPp0iMIFxcXvH087Krl6ZkDgE5dmlGpcmlMJhOtWtenTp1KrF69w65aafHjj9to+0Y/Fiz8nMaNa2eIJsDlyzdYu2Ynvfq8kWGaGc3uzQcZ2X0WH814h2r1yiSmFyrsx6SFA9i88nealB3G+2/PpMWbrwDgk9O+/2NeXkZ9d+4k3eM+NPRuYp4j8PLytOgm7bZ1tK6ztZ2N8X3uy4KFkzP0++xsTLZWoJSaYGlltwGKYTwQnAF+UEqdtbV+O1DW8prQ0i6FYeMTt7yVUteB69Zp9hivDQ0Np1WzD8iZ05PlP3xE9gwcP2nepgbN29RIPB/93tdUrFqCHDnsOy7r7e1J0aKFHD6+nRaLF6+if7/RLF02naCgh4342J+5c37A3z9fhgSqOYON3+/lsxFL+O+cnrxct0yK/Mq1SlK5VsnE86VfbiVvwZw8VzRlHIYteHt7UbiwP/v2HaRatYoAxMXFERJyjLfectxwRVLdSla6R+nUybHDJM7UdiYPvs9fEBT07DhusNMKa0qpf5RSk5VS/ZRSfZRSwU+J4waji1wBRy3nCb8qhwFEJJuIzBORf0QkTET2ikg1RxgSHx9PVFQMMTFGgE50dAxRUTGYzWauXr1No3pDKeSfh2UrxtrdcT/QNqZxxETHJmqbzWYO/HGKuLh47t+PZvniHSxduJ0Pxneyqw0J9O3fnoXz1xIS8hdms5m1a3aya9d+WrWq5xC9BP43fQEDB4xlzdq5Ge644+LimDd3Fd17tsLFJeMWNjQ+96hk/3NRdp+W991X2wke9S2TFvVP1XEDHN1/jpjoWGJj4vh500G+nrKOAaNfd8iDXJ8+nZk0aTZHjpwgMjKSMWMmkSWLiVatGttdy5q+fbsQHDzLSjeYLFmy0KrVqw7VdaZ2Rv2PJed/0+czcMAYy/fZsY77Yb/dSc8V8fHmJGUdhc0t70xAIHBOKZUw8FMGCFNK/WM5NwHngVeAi0BbYK2IFLZ6j11YsmgrPd8JTjzP7d0cgE1bg/l51yGOHD7H2TNXyJ+7VWKZGq8Esnrdf23W/n7JTgb3/l/ieVG/NwFYseEjKld7kVHvzuX0yUuYzYpyLxVl4YpRVKnmmGkPAwZ25P79KFq3GMydO+EUK/4ci7/9hCpVAx/9ZhsYOHAsJpOJpk26JUlft34eNWtWcaj2mtU7uXXrLm93a+lQneQsXPgD3boNTTz39DQ+0+3bl1Gnjv2eUYNHfYuryZUhHaYlSZ/87UAqvFwCgK8nr+PA3pPExcYT8EJ+Rk3qQu1Xy6dWnc0MG9aL8PAIGjbsSFhYOJUqlWXDhoV4eLg7RO+Bbm/CwyNo0KC9RbccGzcucriuM7Uz6n8sOQ++z0mnv65b/7Xdv8+LF22h5zufJp7n8m4CwKatk6ldpzyBpTrzz99G4OUvuw8R/NkSatYqx5btU+xqhzWSntlSImIm9fncD0MppZz2kCAi+4F/lFItLecbAC+lVI2HvOcy0Ewp9Wc6dEoDR/48OIdSpQvbaHX6uRMd9uhCDiBX9gCn6AK4io9TdOPV7UcXchAm8XOa9r4bm5yiWzmPY1vLD0Pk2dv+Qan4RxdylDbO0Y41n89wzWNHz/FSuW4AZZRSRx9VPjnpdarjSL/zdhoi4gqUBKxXGykDpDmBWUSKAzmB0461TqPRaDSaJyNdzlspNdZBdjiKhGVQE8a3vTHWYE81WM0Sib4I+FgplbErd2g0Go1G85j82/uEEgZRE6aFJQlWs0ZEsgDfYbS4xzneNI1Go9FongxbdxUbKCJpDoSJyAYRSbmQdwahlPpOKSWWtdchpTMHQIyBrYUYQwJdMnrZVI1Go9Fo0oOtLe93MJZITYtjQE8bNexJPeC0UupWsvTZQH7gDaVUxmyJo9FoNBrNE2Kr8y4KHH9I/gnsvOb3kyAiNUVkAtAaY0zbOu95oDtQBbgpIhGWo6YTTNVoNBqN5pHYOoUrBsj3kPz8gGNn6j8enwGFgalAkknTSqm/SbkPuUaj0Wg0Ty22Ou+9QFcRmayUCrfOsER2v20p41SUUo5bKUCj0Wg0mgzGVuf9EbATCBGRKSRdgnQwRsu7o40aGo1Go9ForLDJeSulfhORZhgBX1N5sICLAOeA5kqpPbaZqNFoNBqNxpp0LY+aZiXGVKsKPAhOOwPsf5amXCUsjxpQJB/ZsmXcbmAJxJqdEySfxcW+u46lB3HSMgUx5kin6AJkdXH8GtlPG5HxztuP2s3VedtpHv/nb6fovuBv313e0sONyPtO0TU7wVXFx8QRfjUMnnB5VLs4b80D5/1HyCynrG3+T8T1RxdyAEW8Ut9BKiNwFU+n6J4N/80pugDFvOo6TdtZ/H49zdWMHU4VvyZO05bGDZyie3fNRKfoAoz5badTdO/FxmS45u3zt1jxziLIiLXNRaQWgFJql/X5o0gor9FoNBqNxnbSO+a9A1Ai4qaUikk4f0h5seS7PpF1Go1Go9FoUpBe510XwOK4E881Go1Go9FkHOndVWznw841Go1Go9E4Hls3JtkuIvUfkl9XRLbboqHRaDQajSYpts61qQM8bF6BH1DbRg2NRqPRaDRW2GOi7MMC1ooB4Q/J12g0Go1Gk07SvcKaiHQBulglfSAiPVIp6gOUBZw3SVOj0Wg0mn8hT9LyzgHksRwAnlbnCUduIBqYhbHdZoYgIm4iEi8iox5RzlVEIkXkPxllm0aj0Wg09iLdLW+l1ExgJoCInAMGKaXW2NuwJ6QUxgPJkUeUKw5kB0IcbpEV3y3bweyZazl86Bzh4fcJi1yHyWRMgT939grvdJ3IqZMXiYmJI3ceb97q3ID3R3bAxcW20Y1JY5exY/NBLl+8SY4c2ahcoyTDP2pH/kK5EsvUK/suN6/fxWR6oDVpbl/qNq5gk3Za7N1zkNEf/o8/9h3D1dWFkqWKsGPXPJuv9WGM++gLFi5cyc2boWTJkoWXKpbmk0+GU758KbvqTByzlB2bQ7h0wbjfVV4pyfvjOiS53wlcvnCTptVH4u6Rnd3Hv7CrHQkopRg7dhJz5izh7t0wKlYsy4wZ/6VMmRcdopfRunOD17B++V7u3I7AlMWVF8s+R/8P21CizHOJZU4dvUjwqCWcOPg3Hl5utOxUi+7DmiFi392AM/Rex8bDyetwIwLi4sEnB7yYFzwsSxbfuQ9/XYeIaHARyO8NJfyMv23g++U7mTtrHUcOnSM8PJJb91Yn/o4BeGd7jezZs+Lq+uC7vGVXMKXLFLZJd8+8X/h9wR5M2R64rYDqRWkyphlXjl3m9wV7uXbiCnFRcXjm9eKldpUo3STQJs0E/py/lwOLfsc16wPt56sFUO+DV5OUu3HyGqv7L8evZF6aT21rF+20eOKNSUTEDVjFw8e8M5qET+pRS839Bbhh9A5kGD6+HvTs/RqRkTH06Tk5SV7uPN7MmjOEosUK4OrqyrmzV2jdYjQ+3h706d/CNmERPp7RgxKl/ImKjOajofPp02Eyq35O2vHw4WedeKNzHdu0HoO9ew7SrOkAPp/yHqvWTCVr1izs//O43X9Ik9OufVMGDOyMr683MTExTP9iIa827sbFS7/g6mq/dYREhE9n9KJEaX+i7kczZug39Gw/ibW7k2wlj1KKEX2/pHylYpw6cdFu+skJDp7FvHlL2bRpMcWKFWbcuCkEBb3JX3/twsPDcWulZ5Ruw5ZVaNu9Pl4+7sTGxLH8q+0MbDeFdYeCcXV14V5EFIPaT6Fpu+pMXTqYi+euM7jjVDw83ejQu6Hd7IAMvteHL4NZQfUAcHUxHPmf/0CNooZj/+MCvOAHBX0gKhb2XzDe96Jta5f7+HjQvVdTIiOj6d9rWqpllv4wmrr1y9ukkxr5Sxeg7f9SblQZdTeKYrVL0PD9INx8cnDxwAXWjlpJNs/sFKtZ3C7afqXyPdQhx8XEsfOzLeQvV5D4GMfvNfHEzRylVCTQk4dHm2c0gcB94OzDCimDqIzeOKVho0q0bV+XgCL5UuR5euagxAv+iU5ERHBxEU6etP1HfeiYtpQpH0DWrCa8vN3pPqgpJ478w90792yu+0kYOWIqb3drSafOr5Ejhxsmk4kqVQMd7rxfeKEIvr7egOE4XV1duH79Frdv37GrzrCx7ShTwXK/fdzpMeg1Thz+h7uhSe/3wi+34O7pxmuvO3a7+Rkz5jNsWG8CA0vi5ubG+PHDiYmJYeXKDf8K3eeL5cPLx3CMSilcXFwIvRlOmOV+71i3H3O8mV4jWpDdLSvFShXirb5BfDfvJ7vaARl4r+PMRou7WB7IajKcdwk/iI6D6+FGXnYT+PsaLe0cWaFwTrgYCmazTdINGlXk9Xa1KRyQ8nfMWQRUK0LpV8uQw9cdEcH/peco9NJzXNz/T4bZ8MdXv1Kwgj/5yhTIED1b+yj/xNi7+2khEDgOvCwiO0TknoicEJEO1oVE5AcROfikIiLiJyKlrQ8e7KhmEw3qDCWnZ3NKlehKWNh9evVpZo9qk/DL9iMU8M+Nt0/SlsDk8d9RNaAPzaqNZO7UdcTG2v/p8f79SPb8eggXVxeqv9yJfHnqUrVyR35Ysc3uWqmxbt1P5PR9iRxuZRg69GMGD36bPHlSdmfbk93bD1Pwudx4+z643+fPXGXO1B8ZN/lth2rfvRvG+fMXqFLlQSvIZDJRoUIZDhx41OhS5tHdveUQ9YsPpOZzfZk6ZjkdejXAN7excc3JIxcoEeifpGu3VIXCXPr7BhHh9tshzjn3WqU8DYsy/kjeNFFAvIJ7jt+Eo+fbwRTO34GaVQfxzVcb7Vbv9VPXmd1sOl+9MZsN437k7uXUH7yj70Vz9dgV8pSwX9vy1ukbLGz9Jd92mMf2CRsIu3I3Me/KoUv8s/ccld+pbje9R2HTft7AYGC9iBwBvlFKOWdfygcEAneBZcAcYAXQF1giImeVUr9ZlbNla6i+wBhbDE2LrTsmER8fz77f/mL9+t/I4+dj1/p/3XGE/322kmnzByZJ/2RmT0qVfZ7sblk5uO80w3vN5s7tCIZ91M6u+rdvh2E2m1m04EdWrZlK+QovsHbNTt7qOJICBebwcrVydtVLTtOmdbkdup/bt++wYP5KChZybOvhl5+OMP3TlUxf+OB+x8ebea/3bIaNaUuevPb9fJMTFmbM1PTx8U6S7uvrTViY47bazGjdVxqWZdupadwNvcf6Zb/iV8A3Me9eeCSeXjmSlPf0dk/M8/B0s4sNGXrNJhfI5Q6nb0JgAaPlfcqys2CcGXJ7GOPdf982Wt+RMcbfCfkOZPWG/1C1WklcXV3YsS2E7l2DiYsz072XbTu0Fa9TgtJNyuCZ14t7NyP4eeZOfnh3OW/O60rWHA+2YY6PjWf92LXkfD4nJRvaJ54loFYxSjQuhYefJ/dv3uO3ObtZP3wlbeYYXfi7Jm6h1vCGmLJnsYve42Bry/sbwAzMBsJE5JSIHEp2PHELNz2ISG4gH0a0ey2l1Hil1BdAIyAG6GYp5wYU4dFBbQ9jBkaPg/Vh48D0A1xdXXm5eil8fDzo32eqvarlp40HGNRlOp/N7k3NBmWT5FWp8SIenm6YTK5UrPYC/Ue0YvXyX+ymnYCnp/Ej2qlLMypVLo3JZKJV6/rUqVOJ1at32F0vLXLm9GHgoC707DGKgwePO0Rj+8YDDOgyjeAve1OrwYOHkrlTf8Q3lwct2r3iEF1rvLyM1uedO3eTpIeG3sXLy3F7VTtL19vXnXY96zPh3QWcPGqM8bp7uhEelnSf6PC79xLz7EWGX3NgAchmgj3n4OfTYHIF96yQ1dXoJn/JH66GwY5TEHIJClkeFLM6dp+oOvXK4+aWjaxZs9Do1YAMpzcAACAASURBVMr06d+cZUtsX2gzd5E8eOXzRkTwyONJwxGNibgZwZUjlxLLxEbFsmbkD8THxNP849a4mOwTAJszIDeeeb0QEdzzeFB7WAPu34zg2tEr7J31M/5VC5O/bEG7aD0utra8bwO3MALAnE1C9/0EpdT5hESl1AUR+QsIsCQlRKQfflIhpdR1IMkG2o4Yr42NjeOUHca8AdYu/5WPhs1n8tf9qFm/7CPLu7gIOCAkwNvbk6JFCzl8fPtxMJvNxj0+dZ5y5Urate7Vy39h7NBvmPb1gBQPSru2HeLowfNUCegNQExMHJH3o6kS0Jup3wygWu3SdrPD29uLwoX92bfvINWqVQIgLi6OkJCjdOrUxm46T4sugNmsiIuL58LZ65Qo7U+JMv5sWvEbcXHxiV3nx0P+puDzeezW6gYnXHM2k+HAE4iOg/O3jBY5GK+5rIbG/r5tjINbtVIzAhcXFxwRXmT8hkji6EBUeBSr31tBdq/sNJvQKklUugPEwfITeXHf38RERHN6m+EG46LjMMeZWdBqNi2mt8O7oGN612x6LFFK1VFK1X3UYS9jH0FCpPmiVPLMGIFs8MDJJzpvEekjIvtFJFZExjrKwPj4eKKiYoixRCJGR8cSFRWD2Wxm29b97P31GNHRMcTFxbNzx0FmfLGKoMaVbdZd9OUWxr+3gFlL303VcZ8/c5U/fv2LaIstIftOM/2TlTRp87LN2qnRt397Fs5fS0jIX5jNZtau2cmuXftp1aqeQ/QSmDb1G65duwnAjRv/z959x0dR/H8cf33Se6X3Ki2hd6QoKCj+REBFQRGRjqJ+AbsgIIoKVqSrdBFFBAugCNJVpEkoKr2XBNJ7bn5/7CUkIdS7vSUwz8djH0n29u49c3e5uZ2dnY1h8KA38PLypEWLBk7NmTPtZ0YPm8W0r4Ze1HADfDxrCMv+eIcl68eyZP1Ynn2lK+FFg1iyfiz1m97m1LIADBr0BOPHTyEqai8pKSmMHDkeT09POne+58p3LgS5C6atJOZMPADnoxN498V5eHq6U6exMQylTcf6uLm7Mf3dpaSmpLN/z3HmTf6ZB3u3cWo5wMXPdVKa0WCDcRx75wkI87vQYMemGIPTbMoYxLY/Gm4rbjQ8Drjc59j2bfvYtnUf6ekZZGZm8esvW5n0yRIefNjxWbL/XbWXlFjjYzzpXBIr312OX5gfpSJKkxSTyDfPfElAsUDuG/uA0xvu/b/9S2qcMT4i+VwSayesxDfUj+K1StJpYje6fvYYXaZ1p8u07tS4L5IiVYrSZVp3AksEObUcuZn41cTlIoET9r3iHCLiB1QHss9FjwDilVK5hyGeBN4ALj4HwYnmz/2V/n3ez/m7aMgDACxf+Q4JCcm8PHwaBw+ewt3djVKlizDw6U4Me8HxY85vvjgHDw93+j08Ps/6aQuH0bB5NeJjkxjzwmyOHj6LCBQvGcqDj7fmqSGOHaO6lGeGdCc5OZUunZ4jNjaBKlXLMe/LcTRu4pxzMi/ll5UbePvtKSQmJhMUFEDDRpH8/MssSpYs5tSc0cNn4+HhTp8H38uzfsY3w2nUvDrhRfL+QweF+OPm7kbJ0uYMnBs2bAAJCYm0a/cI8fEJNGxYh+XL55p6mpgrc/9cs5uZH/1ESlIa/oG+1KxbgYlf/48i9vEE/gE+fLTgOd57eR5f1liJf4APXZ5ozaP9nXuaGLj4uT6fAvvOGqeFeblDiSBj9Hm2A9FwPtnYPfT3hoiSUCzQ4dgF81YzqO+HOX+XCnsQgB9+fovEhBRGvPIFx49F4+HhTtlyRRkxuidP9XP8s2Tvz7tZ/cFKMlIz8A70oXSdMnR9/2G8/LzY+tVmog9EE3sijikdL8yXUKp2GTq/96DD2ftW7mXjx78Z2QHelKxdmnvf64KXn1ee4+0AXv5euHm6EVDU8ef6csQZ3Rki4onRQAZTwN68UmqtwyFXLsMmoLRSqly+9YOBiUA9pdR2EVkGBCmlWhTwGFOAU0qpN64jvxYQ9df2KdSsVeF6quCQI4lnrryRCSoFWXeygbuY+89xKQcSHBnr6JgqQa7qyLpx/HnGuhmWGxcz5wvs1ZAO7SzJjVv63pU3MsnIP6y5ynRShvkj8PM7dyiGRU/NBYhQSl1pbpKLOLTnLSJuwNsYo6/9LrOpqSMkxDj4EQH4iUhlpdR++/qiwEvAUqVU9mxqEej51jVN07RCzNFu81eA4RijzdcDc4AXgViMBl0BLziYcTUqAAEY553/KCIfY3yZeBrjeHc/ABEJBsrgwGA1TdM0TbOao+PoewELlVIDgewz8bcopaYDTTAab3NHIRmyD5b2AVYCbwGvAmuApkqp0/bbLxqspmmapmmFjaONdxkg+wS+7HnCfQCUUukYI78fdzDjipRSS5VSopTarpR6WikVopQKVUo9oZQ6mWvT7EbevKmlNE3TNM1kjjbeMRjd1SilEoF4jAlQcgvNfycL3QnsU0rF5F4pIh4i4oNxbN5DRHxExNyZDDRN0zTtOjnaeG8Dcp+IvBp4TkRaiEhLYAjgkhnWLkdEWorIWKALBZ8H/hqQgtHt/qr9d9N7DDRN0zTtejjaeE8DvEXEfgFZXgVCgLUYx5uDgKEOZjjDuxjTo36EcTw8D6XUG/Zu99zLTFcXUtM0TdOuhkOjzZVSS7kw+QlKqd0iUhloA2QBG5VS5xwqoRMopcy95qKmaZqmuZDTZ1hTSsUBS5z9uJqmaZqmGZzSeIvIfcC9GOdbAxwCflJK/eCMxy9M0m2ZpGVluDw3y4SJ/69GatbJK29kEn8Pa2ZY23rmlCW5AG0/eMyy7EMjZluSO+g76+ZU2rLo/StvZBK1YqUluYcT1lmSC/BBy+csy3a1Xbv+YVGBQ7CujqMzrIUAi4FWGN3k2Z/k7YD+IrIOeEApVfAV0zVN0zRNu2aODlj7CGiJMataqFKqvFKqPMbpYS8Bt9u30TRN0zTNSRztNn8AmKSUynO5KqVUEvCeiJQDejqYoWmapmlaLo7ueWcA/1zm9r32bTRN0zRNcxJHG+9FwEMFzUYmIh7Aw8DXDmZomqZpmpaLo93mczGulb1RRKYB++zrq2JcycsLmCci9XPfSSm11cFcTdM0TbtlOdp4575yeiOMq4gByCW2Efs2et5wTdM0TbtOjjbeTzqlFJqmaZqmXTVHp0ed5ayCaJqmaZp2dRwdsKZpmqZpmos5fW5zK4mIL5AIvK6UuujqYbm2c7dvN0Ep9Zqryrdo4VpmTPmRXTsPkpCQwtnE7/DwuHD4Py0tg3fe/JKvF/zGuZh4wsKDeHXkYzzy2J0O5b4/aiFrf97BiaPR+Pp706hFdYa+0Y2SZcJztlFKMXPiMr6e/RtnTp4nIMiPx/rfTZ9nOzqU/c1Xa5g+5Uei/j5AQkIK55KX5qlzkFdHfHy8cHe/8D1y5doJ1Iqs4FBuQUaP+oQ5cxYTHX0eT09P6jeoxbhxw6lbt6ZTc77+5GfWLd5C/PkkPDzdqFirDD2Gd6RCzdI526xbspUl01YRffw8PgHeNO1Qhx7DO+Lp7di/5MlP/yAzNu3CCqVQmTaKdIvAr0ZRVKaNuN8OkrTzNLbkDNz8PAm+oxIBdUs4lFuQBQuWMGnSLHbs2ENCQiLp6Qfx8DDvIydxfwwnluwm6VAs4ib4lAyk2vBWiJsQ88dRTi3/l/Rzybj7eBBavzSlu9TCzdPB4TcZWfDfGTibCJlZEOwHNYqDv/1Ci7HJ8O8ZSEwDN4GSwVC1mPG7kymleOONCUyfPp+4uHgaNKjNpElvERFR3WkZ40bOZ/WKbRw/Go2vnzdNb6/Jy2O6U6pMEQAO/HeCCW8uZMsf/5IQn0yx4iE80qst/Ybch0jhrPONmA03WeMN1MToTYi6wnZVAR9gu+klyiUkNICn+t9Lako6zwz4+KLbe3UfR2pKOkuWv0nFSiWJPhtHbGyiw7kiMPbTPlStWZbUlDTGDJvN4O4f8u3aMTnbvPXSXLb98R8TPh9MtVplSUxI4dRxxy8IFxIaQJ/+95Kams7gfgVPtvfV4hHc0baew1lX0u2RjjwzpCehocGkp6cz8ZM53NOhN8eOb8Dd3XljKFt0rMs9PW8nINiPzPRMls1Zz1u9pzNlwwjc3N04tOcEnw7/kiEf9KDpPbWJORnLW71n4O3ryaND73Uou+TgJnn+Tvj9GHFrDuFbJQyA6IVRqEwbxXrWxSPMF1tSBrbUTIcyLyU0NJiBA3uSkpJKnz7DTcnIlrg/hn2fbKJst9pUeboZ4u5G8pFYEEg+GsehL/6i4lONCG1QmvTzKez7eANuXu6U7lzLseCoE2BT0KwiuLsZDflfR6BFZaNh33IUbisGpUMgNQO2HTXuV62445XOZ/z4KXz++QJWrJhHlSoVGD36Q9q378E//6wlIMDfKRkiwvjJA6lWqxwpyWm8/r/PeKrbeyzb8A4AcbFJNGpWndfeepwSpcLY9fchnnr4XTw83HlqsGPv7YK4os43YjbcfN3mkfafu66w3T+AL8Z56i7T9q76PNitNRUqXryXs2bVDn77dTvTZg6lUuVSiAhFi4VQ9bYyDuc+P+JhatWtiJeXB0HB/vQeci//RB0hLjYJgMP7T/HljF95a1JfakSWx83NjaBgf26rWdbh7HZ3N+ChR9oUWGdXq1atEqGhwYDxrdnd3Y0zZ2I4d865U++XqlSMgGA/ew64ubkRF5NIYmwyAGeOxuAX6EPzjnVxc3OjaOkw6t9Rg0O7jzu1HAAJfx3Hv35JxNOd1APnSD1wnvAuNfEM90NEcA/wwrOIn9NzAdq3b8Ojjz5ApUrlTXn83I5/u4vwFuUJb1YONy8PxN0N/4phiAhp0Um4+3oS1qgM4iZ4h/sRHFmC5KNxjoVm2ow97spFwcvDaLyrFoP0TDibANGJ4O0BZUONPW0/LygfBsfOg83mnIrnMmnSLIYNG0BkZA18fX0ZM2Y46enpLF68zGkZL77xKJH1KuHl5UFwiD/9n7ufPTsPE3fe2Mmo16gqvQZ0oGTpcESEiDoVufeBpmxad6WP5OvjijrfiNlwczbeycCBy22kDKlKWXQprgKsXrWN8hWK89GERVSv0JNalZ9kcN8PiYl28AOmABtXR1GqbBGCQ4xvh7+v3Y2fvzdrft5B28jnaV1jCM/2/ITjR846PbsgfXuNp3yJR2jZeAgzP1tuataPP64mLLQ+fr4RDB36Ns899yRFi4Zf+Y7XaOvq3TxZ/zUei3iJOW9/T8cnWxEUHgBAnZbVKFGhCOuWbMWWZePU4Wi2rNpN47sjr/Co1yb1wHkyY5IJbFjK+Hv/edxDfIjfcIRj4zdw/P2NxHy3h6ykdKfmupotPZPE/TGIm7Dn7d/Y/r8f2DN2Nee3Gl+GgmsVw7tYADF/HEXZFGlnE4n9+xQh9Uo6qQTq4j/jU41vbgXJUuDk5zwuLp5Dh47SuHHdnHUeHh7UqxfBtm1X6oi8futW/U3pckUIDg0o8PbMzCw2rdtFrdoVnJ5tVZ2tzs7Jc+TOIjIC+FYpVWBpRaQW0FUpNdqRnGsQCewBmorI2xjnnh8FRimlvsxVrm+BykqpOtcTIiLFgKL5Vle+viIbzkXH88/eo7RsU5stu6aRlJhC/yffp3/v9/lm6ShHHjqPTb/tYvK73/HBzGdy1p2PSSApMZWorQdZtHYM7u5uvDl8NoMf/TDnb7MsXT6WJs1q4O7uxupft9P3iffIzMyiT3/HjrVfSseOd3Du/FbOnYtl9qzFlC5jTo9A/Ttq8sXWN0mMTWbN4r8IKxGcc5u3rxd3PtSEL0YvZtKLC7Bl2WjVuQF3PNjYqWVI2HwcnypheIT6ApCVnEFmdDKqYiilhjRFpWcR8+1uYhbvodhj1/WvcEPITMoABTGbjlDl6Wb4lQ0mdsdJDs7YjOdQHwIqh1OkRXmOLtjBoZlbwKYIa1qWIi0qOBbs4Qbh/rAvGiJLXeg2B2OvvEiAcbz7yDkoEwop6XD43IXbnSg+PgGAkJDgPOtDQ4OJj3f80FtB1q/eyUfjFjF5zvMF3q6U4tXnZpCZkUXfZ+5zer4Vdb4RsrM5+qn8BlD7MrdHACMdzLgWkUAA8BXwK8aVzRQwX0Sa5NtupwM5gzCOq+deljjweAQGGd2Yo97qhb+/D8WKh/LyiB6s+mUbycmpjjx0jt9WbOf5XhMZN6U/LdtdeNkCAo0P9yGvdiUkNIDAID+GjXqE//Yc49A+c69d3ebOuvj6euPl5Un7exox4OlOLJi3ytRMgLCwEIY8+wT9+r7Cjh17TMsJCPHjniduZ+orX3NozwkA1ny7mfnv/ciwyb2Yt3scUzaMIPF8Mh8Pne+03Mz4NFL+iSaw0YVBcm7exnH9kLsq4+bljnuAF8F3VCR13zls6VlOy3Y1dx9jHyS8WTn8K4Qi7m6E1i9NYLWixG4/ScymwxxfvIvKA5tS/9NO1H73HrKS0jn42WbHwyNKGV3jvx+E9fvA0x38vcDL3egmr1cWTsXDmv9g+3Hj2DcYtztRUJBxbfvY2Lw9defPxxEUVPBesSN+XbaFgT0/4IPpg2lzV92Lbs/KsjF80BS2/7WP+T+8nvMZ40yurvONkp3N7G7zMMAlfXIiUgQogbFH3EopNUYp9Qlwt70Mve3b+QKVuPKgtsuZhPHFJPfSyYHHo3bdgnfcReSSvW/X4oevN/JivymM/2wQ7e5rmOe2GnUq2LMcz3GUm5tz6ns1bDYbGRmZ/PffIVNzlE2RlZnFqUPGYYj9Uceo0agSNRtXxs3NjdBiQbR9pCl/rXRed1vilhO4B3njU+XCIQGvkoEFb3wDvO6OcPf1xLuo/yXrkXQoloCq4QTeVgRxEzyDfSjSsiKxO046Hu7tYex1t64KbW4zjm+nZECYfcBSuD80rgB33AYtKhn/ZD4eRsPuRMHBQVSoUJbNm3fkrMvMzGT79l3Uqxfh1KzvvlrPc30nMvGLZ+nwfxf3FqWlZTDw8Q/4b88xvvppJMWKhzg1P5sr63wjZWe75sZbRFqJyAh7lzlAl+y/8y3vA6/h2B7utch+xsYqpQ5lr1RKHcUYoFbRvip7RPp1l0spdUYptSv3Auy/0v2ysrJITU0nPd240FpaWgapqenYbDbu69SMkqXCGTNiDqmp6ZyLieedN+dzV4cG+Pv7XG9RAZg3/RfGvjCHSQue5/a2Fx9Xrd+kKjXrlGfi29+SEJ9MUmIq749eSLWIclSo4li38oU6GyOac9d5+7Z9bNv6H+npGWRmZvHrL1uZ9MkSHuzW2qHMS/n4o5mcPh0NwNmzMQwe9AZeXp60aNHAqTk/zVxHbLTRrRYfk8hnb3yLh6c71RoYb8EaDSuyZ/MB/tl6CKUU8TGJrFr4B5UiHB+cCKCybCRtPUFgw1JIrlOSfGsUxT3Im7hfD6AysshKziDut4P4VA3Hzcl7gpD92qeSnm58f09LSyc1NRWbCYO1it5RiZhNR0g+GouyKWJ3nCTh32hC65cioGo4if/FkLg/BqUUGQlpRK8/hF85JzQqSWmQZh+tn5wOO09AmJ/RaAPEpRiD02wKziTAgWi4rbgp35QHDXqC8eOnEBW1l5SUFEaOHI+npyedO9/jtIxZU5czYvgXfLbwBVq3u/hQS1JiKk8+OI7Y84nM+/41QsLM3Qt1RZ1vxGy4vmPed3ChK1wBXexLQXYDz1ziNmfLbpXmFnCbDWMgG1xo5HcCiIg3MBloB4RglPl5pdQmZxfwq3mr85wuVSb8IQC+X/EWt7eOZPFPo3nx+WlUKd2DwCA/7mrfgFFvOT4D7VsvzsXDw53+D0/Is37qwqE0aFYNEeHT+c8z9sW5tI14Hm8fTxo2r87E+c85fLx7wbxVDOzzYc7fJUO7AvDjL2+TmJDC6y9/zvFj0Xh4uFO2XDFGjnmCp/o5/5QSgF9WbuDtt6eQmJhMUFAADRtF8vMvsyhZsphTc3Zu+JfvpvxKanIavgE+VI4sy2uz+hNaLAiAZvfW5fyZBKa8/BXnT8fj5eNJ9UaVeGZCd6fkp/wTTVZyJv75BmS5eblT7PE6nF/2H8fe3YCbtzs+VcMJucuh4RqXNGfOInr3Hprzd2BgNQBWrVpImzbNnJpVvG0VbOlZ7Pv0d7KSM/Au5k+lvo3wrxiGf8UwMuJSOTRrKxlxqbh5uhNQNZyKTzVyPDg2BfadNU4L83SHkkHG6PNsB6LhfLLReAd4Q62SUOwSPSAOGjZsAAkJibRr9wjx8Qk0bFiH5cvnOvW0pZHDZ+Lh4U6vruPyrJ+56CUaN6/BsiV/sHHNLrx9PGl824Cc20uXLcovf453WjmyuaLON2I2gFzrgGt7t7MfRifVGWAAF59ypYBkpZRzDtZeXbmmAR2VUqXzrfcDzgHvKqVGiMh7QD+lVLD9dn9gKDATOIZxGdOJQAWl1FWPPLAPzovauHUiNWqaf2pMfieSHT8n+3qUDShiSS6Av8dtluR+s9+h4Q0OGT7vR8uyD42YbUluo+lDLMkF2LJor2XZasVKS3IPJ6yzJBegfGBLy7Jdbdeuf4iIuBMgwt57e02uec9bKZUCpACISEXgrFIq+fL3colIoKBRN08C3sC39r8jyHW8WymVBOQeDb/A3uVfDdhiTlE1TdM07fo51CeqlDp8IzTcYsy7FwGUFpHKudYXxRhxvlQplT2bWp7Gu4DHqoox0G7fpbbRNE3TNCs5ep73QS6aoeAiSillzkG1CypgnCK2BfhRRD7G6Np/GuN4dz8AEQkGynCJwWr2QwJzgbeVUs6fHUXTNE3TnMDRuc3XcHHj7Q6UB1pg7OFuczDjamQPVutjX96yl2sp8JJS6rT99jyD1XITEU/ga4w9bldNKqNpmqZp18zR63n3utRtIlIHWAHMcyTjKsuxlAtneT5tXwqS3cjn6TYXETdgDkaD/8SNNG2qpmmapuVn2iQtSqkdwFTgHbMyrsOdwD6lVEy+9VOBksBDSilzLrGkaZqmaU5i9iVBT2NMimIpEWkJdMA4H31MvtvKY3S1pwLRua45e49SyrpzJjRN0zTtEkxrvEUkHHgK49xpq72LMajtI4zj4TmUUocp9BNEapqmabcSR0ebX+oKEiFAdcALeNyRDGdQSjl3OidN0zRNs5Cje95uXDzaXAEHgZXA50op66Yo0jRN07Sb0DVPj6oVLHt61IqVSuDt7dwrBl1VvunDFwqWbnPZDLgXScm0ZmxhkJdr5i4uiFWvs8Gqy4Y6/6Ip2uVYeXlYa15rRYbLM9PS0jl44AS4anpU7fK+WfwmNWtVcHmup5S88kYmOJDgitP4C7b5tBMu6XgdHqpypyW5AJ5ujl3lzRGZtmhLct0lzJJcAOMs0ltLpu2sZdkebkWvvJEJ0m2uH5q1e9cB6tV+9Lrv7/A7U0SKish4EdktIsn2Zbd9XXFHH1/TNE3TtLwcarztXcU7gf8BcRgzlH1t//1/wN8i4pork2uapmnaLcLRbvNPMQ5SNFFKbc59g4g0Bn4CPsG4BrimaZqmaU7gaLd5Y+Cj/A03gFLqT4zzqps4mKFpmqZpWi6ONt5nMGYmu5RU+zaapmmapjmJo433h8BAEbloCKyIlAIG2rfRNE3TNM1JnDFJSyKwT0QWY1xOE6Aq8ID9bzcR+V+u+yil1AcO5mqapmnaLcvRxnt8rt97FHB77XzbgDEDm268NU3TNO06Odp4V3RKKRwgIgFAPDBU79FrmqZptwKHjnkrpQ5fz+KswttFYFwVbKeTH9fpFn61mratn6NY6P34erQjM/PCNIQpKWl07zaaiOpP4Od5F2+8/rmpZRk16lO8PCMJDmqYs/ToPszpOe+9sYD7mr9EvbJ9aFFtMM8/NZGTx/JfTt1w4mg09cv1pWXNZxzOXTTxZ55v9zZ9GrxO/yYjGffUdA7tOZ5nm62rd/Nqlw95qv5rDGkzliVTL3WdHcfUiXyI0KDbc5bggOZ4uTfgu8Xm5OWnlGLkyPGUKlUff/8qtGrVhago11xyYNOmHdzVrg+hwc0oEnY7LW/vic1mMz3XqPMESpduQEDAbbRu3dUldbbyubYyG7Jf676EBjd32WttZZ1Pn46hZ4/XKVuyA8XC2tKqxVOsXbPVJdnghBnWbgCR9p83fOMdGhJAv4H38977Ay+6TURo2qwmn05+noaNqrmkPE2b1SEu/q+cZd78/Ec4HCcijJvUnz/2T2HZH+8iIvR/ZMJF2ymleGnwNOo2rOKU3Gb31uXNRc8yY8sYPl33OpEtbuOdp2ZgyzI+TPb/fZSPh8yh86B2TP9rNP+b1IsVs9exfPZ6p+TntmPn15yPX5+zjH37GcLDg+lwTwunZxVk/PgpfP75AlasmEd09E5atGhE+/Y9SExMMjV306Yd/F/HwfTs2YnjJ1dx6sxvjJ8wDBHzr8A7fvxUvvjiK5Yvn8vZszto3rwRHTo8ZnqdrXqurc6+8Frfz/GTv9pf6+Gmv9ZW1nnI4Hc5duw0W//+kpNnf6Zz1zvpfP9Qzp2LMz0bHJ9hTUSkv4j8KSLRIpJVwGL21SMigbNKqdMm5zjsrvaN6PbInVSsePE85D4+Xgx57kFa31EXHx/XX9jELMNGdiOibkW8vDwICvGnz5D72Bt1hLjYvP9cc6b9gn+AL/d1dc7VW0tVKoZ/sB9gDLJwc3MjPiaRxLhkAP5c8Tc1GleiYbsI3NzcqFCzNG0ebMLPczc4Jf9ypk75hl69H8DHx9v0LIBJk2YxbNgAIiNr4Ovry5gxw0lPT2fx4mWm5r780gc82fsBHu/5f/j5+eLh4UGTJrVd0nhPnjyboUP756rzMNLTM1i8eLmpuVY911Znv/zShzzZu3O+1zrS9Nfayjrv33+Mzl3vpGjRUNzd3enbrzOJicns+++o6dng+J73u8AkjFnW5gKjC1jGOJhxJZHk2+sWkTYi/1/SlQAAIABJREFU8pOIxIrIORH5QUQq59tmqYhsEZHuIrJdRFJE5JCIPH+lQBEpJiK1ci9A5Svd70azfdteShS/nUoV2/FYj+EcPGj+5PwbVu+kdNkiBIdcuDLXof2nmPHxD4z+4EmnZm37bQ99G75Or8iXmTfue+7p1ZKgsADA2NO/6Fq2SnH6cDQpieZdKW31qj/5798j9Ovf1bSM3OLi4jl06CiNG9fNWefh4UG9ehFs2xZlWm5ycgqbNu7A3d2dZk27U7xoKxo3eoRvF600LTPbpetcy9Q6W/VcW5194bV2o1nTHhQv2prGjR41/bW2ss4Aw4b35Pslazh5MpqMjEymTPqGSpXLEFnbOb2HV+LogLUngEVKqYedUZjrFInxxQEAEekFfAb8ArwG+AHPACtFpKZSKiXX/fyBifblNNAHeF9E/lVK/XiZzEHASCfXw6W6dr2bXr06U65cSU6cOMNLL06g/d192LptEQEB5lzycsNvUUx8ZzGfzB6Ssy4ry8aLA6cydMTDFC0e4tS8em1qMP2vMSTGJrPuu78IKx6cc1uDO2uxfPZ6Nv+8k/p31uTwnhOsWfQnAClJafgG+Di1LNmmTP6G9u2bUbFiaVMeP7/4+AQAQkKC86wPDQ0mPj7RtNxz5+Kx2WzMmb2U75Z+Qr161fl+6W/06P4iv5b6nGbN6piWnV2vkJCgPOvNrrNVz7XV2Rde6+/5bunH9td6jf21/sy019rKOgM0a1GbeXOXUaFMR9zd3QkLC2Lhonfw9TXnsyM/R/e8fQHzv0pfgoiUBMKBKPvfEcBUYKRSqoNSaqJS6l2gI1ABuMe+XSBQHvAGmiulRiilPgXuBlIo+LS33CZhDJTLvXRybu3MFRFRlfLlSyEilC5dnBmfvcnx46fZuHG7KXmrl29jSM+PeW/qAFq1u/DPPOPjHwgNC6BTt9tNyQUICPGjfc/bmf7aNxzeewKAag0rMujdR/lu8q8MbD6KmaMX0/bRZoib4B/ka0o5Tpw4y/dLf6P/wIdMefyCBAUFAhAbm/c43PnzcQQFBZiWGxhoHLLo+cT9NGoUgYeHB527tKNNm0YsXWLuQL3sesXGxudZb3adrXqurc4u+LVua3+tV5uWa2WdbTYb7dsNpkSJME6e/Zn45LVMmvoyne57nh3b/zU1O5ujjfevQCNnFOQ61bb/zO42HwEcAaaKSJHsBTgBZACV7NvVwhihPk4plTM0USl1FtgDlL1cqFLqjFJqV+4F2O+0WllAxBhcplT+zmTHLV24gaH9JvHhF09z9//lfbusW/k3f2zYQ+NKA2hcaQBjXpzN2VOxNK40gE1rrvn69JekbIqszCxOHbpwTeqm99Zh7OLnmPbnaEZ/PYTk+FSq1i2Pt685Yw5mTP+WsmVLuGygGkBwcBAVKpRl8+YdOesyMzPZvn0X9eqZd8G/4OBAKlcu65Lj2xdnX6rOu02uszXPtfXZ1rzWVtb5/PkEDh44zuBnuhEWFoyHhwf3d2pNpcpl+OXn303NzuZo4z0IaCoir4hIuDMKdI0iMcYj7RIRb4w97CoY86mfzbd4Agm57gcw5xKPa8pQxaysLFJT00lPN8bwpaWlk5qannM6xYW/FVlZNvu2GWYUha8XLic6+jwAp09H06/vSIoXD6d583pOzZkz7WdGD5/F1AVDadm29kW3fzxrCMt+f4el68aydN1YhrzclfCiQSxdN5YGTW+77tzls9YRF2283PHnEvli1GI8PN25rX4FwPjmvP/vI2RlZpGWks667/5izaLNPDLs3uvOvJzMzEw+n7GYPv264Obm2pM8Bg16gvHjpxAVtZeUlBRGjhyPp6cnnTvfY27u048ye9ZStm/fi81m4/ulv7F27RYe6NzW1FyAgQN7MmHC1Fx1noCnpwedO3cwNdeq59ry7KcfseS1tqrO4eHBVK9RgSmTviE+PhGbzcaPP6xn964D1Ktf3dTsbI4e8/4H4wvAGGCMiKQCWfm2UUqp4Ivu6RyRwEGlVKKI1MA4vv06cKmvPtlf0SKAc0qpPCO0RMQHqIlxGVOnmz93Jf2eei/n7yLB/wfAipXjadWmLrVrPsmRw8ag+Q3rdzL+3QW0bFWbn1e97/SyzJv3Pc888yZJSSmEhgbRsmUDVvw8g8BA5x7vHvPCbDw83On70Ht51k//ejiNmlcnrEje45LBIf64ubtRorRj3wV3bvyPJVNXkZZsHL+uFFGWl7/oR2gxI8+WpZg5+jtOHDiDUopKEWUYPrU31RqYM+/Q0iVriImJ48nerj+6MmzYABISEmnX7hHi4xNo2LAOy5fPNW1sQ7YhQ3qQkpxK505DiI1NoErVcsz/8l2aNLn4S5yzDRvWn4SERO66q7u9zrVZtmyO6XW26rm2OvvCa/1srtf6HZo0ibzynR1gZZ2/WfweL7/wCTVve5DU1DTKlC3OBx8NpW27xqZnA4gj3aQiMhMuGrR7EaWUc4cRX8jfChxRSj1gv374H8CDSqlFV7jfKiBCKVUs3/qBGMezmyql/rjGstQCorbsmEHNWhWu5a5O4SkXn37mCgcStlmSC7D59ElLch+qcqcluQCebhddA8hlMm3RV97IBO4SZkkugMjNMBXGtcm0nbUs28OtqCW56Tbzz7TJb/euA9Sr/SgYbdE1HyN0aM9bKdXLkfs7QkTcgRpA9qjwQxhfJLoCi/Jt6wEEKqXO21dFAEVFpKpS6j/7NkWBl4EV19pwa5qmaZorOdptbqWqgA/2wWpKqTMi8iXQXUSCgGUY559XAboAjwDrRaQ4UBT4G/hBRD7FGDU/2L59b1dXRNM0TdOuxTU33iJS/1rvo5QyY8LX7IMpuc/G723/+zHgPSAZOADMALbmu18foB/GRDKC0dgPV0qdMKGsmqZpmuY017Pn/RdXcZzbTuzbul9HzmUppb62P37udWnA2/blUiIwBtX9rZTqC/R1dtk0TdM0zUzX03ibMvjMhSKBA/aGXtM0TdMKnWtuvJVSs8woiAtFYEzEommapmmF0i11HoQYUwDVQjfemqZpWiFWmEebXzNlnNRu7qS3mqZpmmayW2rPW9M0TdNuBrrx1jRN07RC5pbqNncFwQ1x/plxV+QmgS7PBKgafIcluQAVAk9Zkushxa680U1ILPq4uBWnKLXS0kPmXrL1crpU6mZJrhuuuQZ3boJjVy/U/xWapmmaVsjoxlvTNE3TChndeGuapmlaIaMbb03TNE0rZHTjrWmapmmFjG68NU3TNK2Q0Y23pmmaphUyuvHWNE3TtEJGN96apmmaVsjoxtuFFn61ijtbD6FoaEd8PO4gMzMr57aUlDS6d3uDWtUfw9fzTka+/pmpZVmwYCmtWnUlOLgmbm7lyMzMNDUvN6UUI0eOp1Sp+vj7V6FVqy5ERe01PbdO5EOEBt2eswQHNMfLvQHfLTZ/RqkFC5bQqlUXgoNr4OZW9qZ/vkeN+hQvz0iCgxrmLD26DzM1Mzer3mNW5boqe+HHKxh0x1ger/MKvRq+zuheUzm4+3jO7WuXbKFH5Et5loduG8b/Or7n1HJks+r5Hj1qMt6e9QgJapqzPNb9RdNzc9ONtwuFhgTQf2An3nt/8EW3iQhNm9Xi08lDadSouvllCQ1m4MCefPDBSNOz8hs/fgqff76AFSvmER29kxYtGtG+fQ8SE5NMzd2x82vOx6/PWca+/Qzh4cF0uKeFqblwaz7fTZvVIS7+r5xl3vzxpublZlWdrcp1VXaL++rx7nfPM2fHW0zfOJK6t1djTK+pZGXZAGjVqQHzdo7LWWZtHUtQqD+tH2jotDLkZuXz3bRZbWLjf89Z5s5/x/TM3HTj7UJ3tW9Mt0faUrFiqYtu8/HxYshzD9Hmjnp4+zg25+3VaN++NY8+2olKlcqZnpXfpEmzGDZsAJGRNfD19WXMmOGkp6ezePEyl5Zj6pRv6NX7AXx8vE3Pat++DY8++gCVKpU3PSu/G+X5diWr6mzlc+2K7NKVihEQ7Gf8ocDNXYiLSSQxNrnA7X9f/jfJianc+VBjp5Uht1vxvZ3tlm28ReRFEVEiUjXXugj7ugetLNvNLC4unkOHjtK4cd2cdR4eHtSrF8G2bVEuK8fqVX/y379H6Ne/q8syrWDl8719215KFL+dShXb8ViP4Rw8eMzUvGxW1dnK59qV2VtW7+bxuq/wSM0XmDl2Kff1bk1weECB2y6ft4EWHesSGOLv1DKA9Z8l27ftpWTxNlSu2IHHe7zksvd3tlu28QZO2H/m7AYrpaKAXcB9l7ujiBQTkVq5F6CyeUW9ecTHJwAQEhKcZ31oaDDx8YkuK8eUyd/Qvn0zKlYs7bJMK1j1fHftejc7o5Zy8tQ61q2fh4jQ/u4+LunOtKrOVr63XZnd4I6azNn+FjO3jOGJV+6nWr2Ce5OO/HOSPZsP0OExcw5LWfl8d+najr+jFnPi1GrWrp8FInS4uz+JiQX3QJhBN965Gm+7Q0BVLm8QEJVvWeLMwt2sgoKMS5fGxsblWX/+fBxBQQV/e3e2EyfO8v3S3+g/8CGX5FnJquc7IqIq5cuXQkQoXbo4Mz57k+PHT7Nx43bTMrNZVWcr39tWZAeG+NOxV0smv7yQQ3uOX3T78nkbqBxZliq1zTk0Z+XzffH7exTHj59hkwve39l0431x4x0KpF3hvpOAiHxLJ6eW7iYVHBxEhQpl2bx5R866zMxMtm/fRb16ES4pw4zp31K2bAmXDFSz2o3wfAOIGIMylVKmZ1lVZyufa6uylU2RmZnFyUPRedanJKaydskW0/a64cZ5b4Px3nbV+zubbrxzNd4iUhpoAqy53B2VUmeUUrtyL8D+KwVmZWWRmppOenoGAGlp6aSmpmOz2fL9rcjKsuXZ1tmMsqTmK0tqTlnMNGjQE4wfP4WoqL2kpKQwcuR4PD096dz5HtOzMzMz+XzGYvr064Kbm+ve/hee73Tg5n++v164nOjo8wCcPh1Nv74jKV48nObN65mWmZtV7zEr39uuyP7hi7XERhvd1XExiUwbsQgPT3eqN6iYZ7s1323B3cOdFvfVLehhnMaq5/vrhStyvb9j6Nf3DYoXD6dZc3Prm5uHy5JuMEqpOBFJAnIf9BwHpADTzMicN/cX+j114XSC8OB7AVix8gNat6lLZM2eHDl8GoAN6/9m/LvzadmqDr+s+tDpZZkz51t69x6a83dgoHF62qpVX9GmTTOn5+U2bNgAEhISadfuEeLjE2jYsA7Ll88lIMD5g1ryW7pkDTExcTzZ27UdJXPmLMr3fFcDYNWqhTfl8z1v3vc888ybJCWlEBoaRMuWDVjx8wwCA81/jcG695iV721XZP+94V++nbyS1OR0fAO8qVK7HCNnDyS0WFCe7VbM28AdXRuZfuaMVc/3/Hk/MuSZt+3v70BatmzA8p+nuuz9DSCu3M2/0YjIf8BJpVQrEXkcmA30VUrNuI7HqgVEbd3xOTVrVbzi9s7m5WbNeDkRd0tyATJspyzJ9ZBiluQCiFjXWZZli7Uk190txJLcW9W3B76yLLtLpW6W5Gbaoq+8kZPt2rWPurW7AkTYe2+vya3cbQ5G13kpEWkJTAXGXU/DrWmapmmupBtvKAv8AMxRSr1scXk0TdM07Yp04w1ewHxggMVl0TRN07SrcssOWANQSg0Fhl5xQ03TNE27gdzqe96apmmaVujoxlvTNE3TChndeGuapmlaIaMbb03TNE0rZHTjrWmapmmFjG68NU3TNK2QuaVPFTNDTNo5zqS4bn7bbKX8S7g8E+B44t+W5AKsO3HYktxuVe62JBfAQ4palm3VNKVKmX/xlkuxcjpaq9xXobnVRXA5mzL/OvP5KZXi0P1vvXempmmaphVyuvHWNE3TtEJGN96apmmaVsjoxlvTNE3TChndeGuapmlaIaMbb03TNE0rZHTjrWmapmmFjG68NU3TNK2QKXSNt4j4ikiWiLxidVk0TdM0zQqFrvEGamKUO8rqgmiapmmaFQpj4x1p/7nL0lJch7dHzOeuJsOoWaoXDar05+knP+LEseg827wweAptGw2lYsijPNvnE5eUq2uXp/Fwq8HKlRud/tjjRszn7ibDqFWqFw2r9OeZfHU+8N8JBvX8gCbVBlKz5BO0qfscUz5cilLKqeX4YPAsHqv2AlEb/8tZt/uP/bza+UN613mV5+98m5XzNzk1M79Nm3ZwV7u+hAY3p0jY7bS8vSc2m/lTfyqlGDlyPKVK1cffvwqtWnUhKmrvTZt7IXsCpUs3ICDgNlq37nqL1Nma7NOnY+jZYwRlS95DsbB2tGrRh7Vrtpqea2Wdz5+PZ9DAd6hY7n7CgttyT/tn2bv3kEuyofA23snAAasLcq1EYMKUQWw/NINVf72PiND74XfzbFM9ojwj3n6cu+5t4JIyzZn9HcnJqaY9fnadtx2awa9/vQ8iPJWrznGxSTRqXp3vVr3JrhMzmTjrWT6f9BOfT/rJaWVY990W0lMz8qyLPn6eCf0/p82DjZm2eRT9xj3MVxOWsfkXczp0Nm3awf91HEzPnvdz/OSvnDrzG+MnDEdETMnLbfz4KXz++QJWrJhHdPROWrRoRPv2PUhMNHc+Z6tyjeypfPHFVyxfPpezZ3fQvHkjOnR47Cavs3XZQwa/x7Fjp9n693xOnl1B56530Pn+YZw7F2dqrpV17tP7TY4cPsXmrbM5cfonataqSMcOz5GU5Nic5VersDbee4CmIvKbiCSJyF4RedTqgl3JS6O6U7teJby8PAgO8WfAc/eze+dhYs8n5mzTe+A9tG5Xl4BAP9PLc+zYKUa8/jFTp402LePFUd2JLKDOcfY612tUlScH3EPJ0uGICBF1KtKxc1M2rd3tlPyYU7F88+EKnhrTNc/6tYv/okSFotzVozkeXh7UaFyZ1l0b8stc5/c+ALz80oc82bszj/f8P/z8fPHw8KBJk0iXNN6TJs1i2LABREbWwNfXlzFjhpOens7ixctuylyAyZNnM3Ro/1zZw0hPz2Dx4uWm5lpZZyuz9+8/Rueud1K0aCju7u707deZxMRk9v131NRcq+qclJTCTz9u5PURT1GkSAg+Pt6MfWsgJ0/GsHTJWlOzsxXWxjsA+Ar4FXgJUMB8EWniigKISDERqZV7ASpf6+Os/XUHZcoVJSQ0wIRSXp5Sij5Pvcorrw6gXLlSLstdZ69z8CXqnJmZxaa1u6hVp4LDWUoppr/yNZ0G3kmRUqF5bju85wSVapfNs65SZFkO7znucG5+yckpbNq4A3d3N5o17UHxoq1p3OhRvl200ulZ+cXFxXPo0FEaN66bs87Dw4N69SLYts28YSNW5V4+u9YtWGfzswGGDX+c75es4eTJaDIyMpky6RsqVS5DZO0qpmVaXWelVJ7De0oZ67Zt/cf0bChklwQVkSJACcALaKCUOmRf/x2wD+gN/OGCogwCRjryAOtW/82H4xYxde7/nFSkazNl8pcopejb72GXZa6313nKJeqslOKVZ6eTkZFF32fuczhv5fxNoODObk0vui0lMY2SFfJeXtM/yJeUxDSHc/M7dy4em83GnNnf893Sj6lXrzrfL11Dj+4v8mupz2jWrI7TM7PFxycAEBISnGd9aGgw8fGJBd2lUOca2Yn27CCXZltbZ+uyAZq1qM28ucuoUOY+3N3dCQsLYuGicfj6+piWaWWd/f19ubNtQ0a9MYOZs0cSEODLq69MRilFQoJrLi9a2Pa8I+w/x2Y33ABKqaPAP0BFADEkikgxk8oxyV6W3Eunq73zymVbGPj4B3w0/Wna3FX3yndwsv37jzD2zclMmz7GZZm/2uv84SXqnJVlY/jAyWz/ax9f/jiCgEBfh/JOH4nhu8m/0ufNBwu83TfAm6SEvMemkuJT8A3wdii3IIH2QyA9n7ifRo0i8PDwoHOXtrRp04ilS1Y7PS+3oKBAAGJj8x57PH8+jqAg83p8rMo1sgPs2fEuzba2ztZl22w22rd7mhIlwjl5dgXxyWuYNPVlOt33P3Zs/9e0XCvrDDBz9khKlSpCs8ZPUrPaw4SGBFKtennCw11z3fvC1nhnjzSfW8BtNoyBbGA04slKqTNmFEIpdUYptSv3Auy/mvsu/modz/b5hE9nPkuH+xubUbwrWr9uCzExcTRu+CDFizajeNFmADz84LMM6DfC6XnZdZ54iTqnpWUw8LH3+XfvMRYue4NixR1/8//z10ESY5N5rctHDGjyBgOavAHAR8/M4bPXv6F8jVIc2Jn3eNyBqGOUr1Ha4ez8goMDqVy5rEuOb1+cHUSFCmXZvHlHzrrMzEy2b99FvXoRl7ln4cy9fPbuW7DO5mefP5/AwQPHGfzMw4SFBePh4cH9nVpRqXJpfvn5d9NyrawzQLFiYXz2xescOLyEw8e+Z+Dgrhw6eII77mxoejYUzsb7RP5GWUT8gOrA3/ZVEdyA54HPnLqc14d9wecLX6R1u4L3uNPTM0lNTSfLZsNmU6SmppOWllHgttfroYc78N/+n9mybXHOAjB5yhu8Nc653fgzpy5nxGXqnJSYSq+u44g9n8j8718nJMw535ib3FOb91e+yNglz+UsAL1Hd6Hb0Htp1bkhJw+cZeX8TWSmZ7L3r4OsXbSZu3o0c0p+foOefoTZs5ayfftebDYb3y/9jbVrt/BA57am5OXJHvQE48dPISpqLykpKYwcOR5PT086d77npswFGDiwJxMmTM2VPQFPTw86d+5gaq6VdbYqOzw8mOo1KjBl0jfExydhs9n48Yf17N51kHr1q5uabeXz/c8/hzlz5hwA+/Yd44nHR9Hmjga0bdfI9GwoZMe8MRrvrALWPwl4A9/a/85pvEXEDXgOGAAUAZYA/ZRSGSIyCHgASAeaAieBh5RSppwoOGLYF3h4uPNE17fzrJ+16GWatKgBwGOdxvL7+gsjrZd8vYEy5YqycddEp5XDz88XP7+Lu6XDi4QSFubcLp+Rl6lz4xY1WLbkDzauicLbx5NGVfvn3F66bFFWbp5w3bnevl54+3pdtD4w1J+AED8CQvwYNq03897+nnnjvie4SCAPPd+BRndHFvBojhsypAcpyal07vQssbEJVKlajvlfvkOTJubk5TZs2AASEhJp1+4R4uMTaNiwDsuXzyUgwP+mzDWy+5OQkMhdd3W3Z9dm2bI5N3mdrcv+ZvG7vPzCRGre9iCpqWmUKVucDz4aStt25vYuWlnnTRt3MvqN6Zw7F094eDAPd7uLkaP6mJ6bTZw9GYZZxOhzjAf8gNuUUvvt64sCW4GtSqlO9nXzgd+UUtNE5E2gOfAYkAB8D3yplJoqIpOA7hjHqzcA04AApdQ1j+KyjziP+uXP8VSrUfaK2ztbKf/aLs8EOJ7095U3Msm6E4ctye1W5W5LcgE83IpeeaObjFLmT2RzKcZ3/1tLus3c07sux8vN9Z+dAOlZrv8s2b3rAPXqPAYQYT/0ek0K0zuzAsYpYtuAH0VkkIgMAzZjHO/ul2vbCCBKREoCzwLdlVInlFIJwAIgewaUWsBopdQapVQm8CVwm0tqo2mapmnXqTB1m2f3L/axL29hnN+9FHhJKXUaQEQ8MBrgKIw9ah9gb67BQu7AFPvvtTC63LMVB/LOV6ppmqZpN5hC03grpZYC2S3w0/alILcBZ5RS8SISBsxSSl10IEJESgDhwNlcqzsD5k9HpGmapmkOKEzd5lcr90jz7UAHEakOICLhItI+13ZZQDcR8RSRPkA9YLqrC6xpmqZp1+KmbryVUmuAT4BfRCQR+JMLE71EAJ8DjwDngEeBu5RS8Rc9oqZpmqbdQApNt/nVUkqNyPf3O8A7BWxaC/hLKdWvgNs0TdM07YZ1M+55X60IwDUXftU0TdM0J7qVG++a6MZb0zRNK4Ruum7zq6WUCr7yVpqmaZp247llG28TeAEc2n/KkvDzvo5dhet6nUmxbjamY2esea53pe2zJBfAw+2cZdlW0TOsuVaGzZr/KwBPt+Qrb2SCjKwTLs/cv+9Y9q8Xz+N8FQrN9Kg3OhG5H2PedE3TNE27Wp3s85hcE914O4mIBAOtgaMYFzq5FpUxGv5OXOWlRZ3IqmxdZ9e6FbN1nV1L1/naeAFlgTVKqbgrbZyf7jZ3EvuTf83fnoDc13nefz0T1DvCqmxd51ujzlZm6zrrOheC7G3Xm33rHdDRNE3TtEJON96apmmaVsjoxlvTNE3TChndeN8YzgKjyHuFs5s9W9dZZ9+suVZm6zrfItl6tLmmaZqmFTJ6z1vTNE3TChndeGuapmlaIaMbb03TNE0rZHTjrWmapmmFjG68NU3TNK2Q0Y23hUTEW0TeEZETIpIiIn+IyF0uyA0QkVEislxEzomIEpFeLshtJCITRWSXiCSJyBERWSgit7kgu5aIfC0iB0QkWUSiRWStiPyf2dkFlOVV+3MeZXJOG3tOQUtTM7Pt+fVFZKn9PZYsIlEiMsTkzJmXqbMSkdIm51cVkQUicsxe570iMkJE/EzObWD/f44XkQQR+VlE6jo546o/N0Skhn27RPu2c0SkqNnZItJYRCaJyBYRyRARh06nuppcEXETkV729/pR+2dblIi8JiI+juRfjp7b3FozgQeBD4H/gF7ATyJyh1JqvYm5RYARwBFgB9DGxKzcXgRaAF8DfwMlgKeBrSLSVCllZmNWHggEZgEnAD+gK7BURPorpaaZmJ1DRMoArwBJrsiz+xjYnG+dqdc1FZG7ge8x5m4eAyRiXMShjJm5wFRgZf7iAFOAQ0qp42YFi0hZ4E8gDpgInAOaYZwH3ADj4hVm5NYH1mNcFGkUxk7ZIGCNiDRWSv3jpKir+tywv8fXYjwPrwABwDAg0l6ea71w01VnA/cCfTA+Xw4Aju4YXE2uH/AF8DvG++wMF173tiJypzLjnGyllF4sWIDGgAKG5Vrng/GhutGlhW1cAAAPCklEQVTkbG+ghP33hvZy9HJBnZsDXvnWVQVSgbkWvAbuwHZgrwszFwC/Ar8BUSZntbG/tg+6+HkNAk4B3wJurn5dCyjP7fbn4RWTc16x59TKt36WfX2oSbk/YnxRCM+1riSQACxyYs5VfW4Ak4BkoFyude3s2/czObs44Gv/faLRxJlbZ4yrgzUv4L4j7Nu3M+N1193m1nkQyAJy9viUUqnAZ0Az+7d4Uyil0pRSp8x6/MvkblT5vnUrpf4DdgE1LChPFsbeSogr8kSkFcbr/pwr8vJlB4qIq3raumN8iL6qlLKJiL+IWPlZ0x3jQ3S+yTlB9p+n860/Cdi49ksFX62WwEqlVEz2CqXUSWANcJ+IBDgj5Bo+N7oCPyiljuS670rgX+BhM7OVUqeVUinXk3G9uUqpdKXUxgJuWmz/acpnm268rVMP+FcpFZ9v/Z/2n049XnWjEuOaesWBaBfl+YtIERGpLCLPA/dg7AmbnesOfALMUErtNDsvny+AeCBVRFaLSEOT89rZ80qLyD8YXebxIjLZzGOABRERT4wGY6NS6pDJcb/Zf34mInVFpKyIdAMGAh8rpcw6VOINFNRgJWPsFUaYlHsR+5iCYsBfBdz8J8bn3q2ihP2nKZ9t+pi3dUpifCPPL3tdKReWxUo9gNIYXUyuMAHob//dhtG1+7QLcgdgHHdv54KsbOnAIuAnjA+QmhjHHteJSHOl1HVfS/gKqmJ8tizB6El6GaML/xmMXo5HTcotSHsgHJhndpBSarmIvI7RfX5/rpvGKqVeMzH6H6CpiLjbe5MQES+gif12Uwfp5VPS/vNSn21hIuKtlEpzYZms8gLGl9hlZjy4bryt4wsU9AZOzXX7TU1EqgOfApswjgu6wofANxhfjh7GOO7tZWagiIQDo4ExSimXXcDA3pWXuztvqYh8gzGY522gg0nRARiDeKYopbJHl39rb1D6i8gI++ESV+gOZAALXZR3CGOw1iIgBugIvCIip5RSE03KnARMxtjjfxejR/U1LjSkrvwsyc660mfbTd14i8grGF/UBymlYs3I0N3m1knB6O7KzyfX7TctESmBMdAmDmNAVZYrcpVSe5VSK5VSs5VS92E0NN/bu+/N8ibGgKJPTMy4KkqpfRh7xHfYu/LNkP3e/TLf+uxjzs1Mys3Dfqy3E7Ai9/FgE/MewRjD0kcpNV0p9a1S6imML6bv2L/EOZ1SagrwFsYXlV3AToyR/e/aN0k0I/cSsl/7W/mzrRvG//xnSqnJZuXoxts6J7nwzTi37HUnXFgWlxKRYIyupBCgg1L/3975B1tVVXH8840QfySEPycZlVScSrP8BVhplJpmYJqpKGpqDpWSYf7IdAK0Jpv8ERhmmgIqaf7MZCYBsx7qRJCkKfgDRRBFRTMCFVSE1R9rXzgezn3vXd4793kf6zOz596z79577X32e2edtdfa51hHjvUOYF/avqWkEEl9gKH4dq3tJPWW1Bu/kHVNx1uUIbsZXsBXGzYrqf3KfOYDt15Nnz1LkpvnCHwFoPQl88TpwCNm9mIu/57Uj9L8vWZ2IR47sj+wh5nty9rr+9yy5BZQWS6vdm37b2deMpc/p+NG3DD5bpmyQnl3HI8Cu0rqnsvvl/m905EClibhynKgmT3RwV2qLPP1KKn9Xvj/2ZXA/Ezqh5+D+dTP319hJ3wJsyyLbFb6zPtaK3Ec9XIdDMHHeE+d5G2Lu2HydE2fpbopzWyJmT2UCYg8CHgReKpMubk+LMLntygosi+d9LoGIKkfHmH+MHCMmb1XprxQ3h3HHfg/+tBKhqRuwCnADDN7oaM6VhZpmfZWfNn0aDObXkfZ2xTkdQVOwpfxyrqJmA0cWZDm4A9+OBIP6mp3ip5oJekzeDDVVDNbXYZc1vqXv53LPw14j7VR2aWRxn4Q8EczW162vMRcYE+t+8TA4/DgyMfq1I/K0u2+wOgS57kad+Jb1NZsd5V0IH6zenud+1IXJH0St7YX4EZJ6a6BCFjrIMxshqTbgUuSYnkW+BbQm3Uveu2OpGH4snXFGhqUnowE8GszW1qC2MtxxTEJjzo9IfujmU0sQWaFa9IqxwPAInwbxxDgE8DZZlaKFWpm/wHuzudLGp5+X+e3duRWSSvwoLVX8WjzofgWovPLEmpmj0gaB5ya9pZPw6PNjwYuqZOb5Fj8+lavJXOAS/Gthw9KGosHrA1MedeVNe70/IARwNQksz9uBEwGxrSzrNZcN36Oz/XfJI3B40rOxX3x48uULWlH4MSUt0+qV4n0f97MbmpvufiN2RTcHXQp8LVcCM28UgyVMp78EqnVT+/ZOE32y/gy5kzgkDrJXoA/uKIo9S5JZlMzMq3k8Q4G7sOf/LUSDyC7Dzi8g+a+ifKfsHYmMAO/oK/EfdE3AbvUYXxdgZHp7+xd/PG/w+t4fqfjPvcudZ7XvvjWvJfTuJ/Gt459uESZO+PK47V0HXkSvznbqARZrbpuALulPr0FLAEmAtuWLZu1TxUsSk1lyE2p6nUNmFDGvCt1LgiCIAiCBiF83kEQBEHQYITyDoIgCIIGI5R3EARBEDQYobyDIAiCoMEI5R0EQRAEDUYo7yAIgiBoMEJ5B0EQBEGDEco7CIIgCBqMUN5BEARB0GCE8g6CIAiCBiOUdxAENSPJJI2qsc6AVG9AOb36YJDGOLaj+xF0bkJ5B0EOSSenC3DRO4krZXqnMtm0TNKjkoal159myzelMpOaaeucMsazvkg6rFYFHQRBfYhXggZB27gFf4sUQA/gMPw1gTvir0HMM1DS3mY2q079awuHAWcAowp+2wR/N3cQBB1AWN5B0Db+ZWYTU7oKf3/zP4HjC8ouxF+POLKeHawVSZu1VMbM3jazUN4dhKSNJcX1ewMmJj8I2hHzd+wuptgqfQP4FTBI0l61tp1dXpd0lqTnJa2QNE3S7rmye0iaIOk5SW9LekXSOElb5sqNSm1+StLNkpYAD0magFvdFR+uSbJMvXV83pJ6Sbpe0kuS3pE0X9LVkjZqYVz9JE2WtFTS8jSez7fifFR86MdIulDSi2ms90vaJVd2QRpTvo0mSU1V2hwpaZGkNyTdIamHpG6SRkt6VdKbksZL6lalf0MkPZ36NEvSAQVleqV5WZzO2RxJp1YZ52BJP5O0CFgOdG/pHAWdl1g2D4K2samkrdL37sBXgUOBS6qUHwOchS9FH76eMk8CNgeuAjYGfgD8VdKnzWxxKnMwsBMwHngF2A0YCuwmqX+6ychyO/AMcAEg4BFgu9TOiS11SNJ2wEzgo8C1wFNAL+CbwKbAu1XqfRm4F5gFXASsBk5J49nfzGa2JBs4P9W7DHddnAf8HujXirrV+DGwAvgFsAvwfWBlktMTn7/+wMnAfODiXP0vAscCVwLvAKcDkyX1NbPZAJK2Bf4BGDAWeA3/+7leUnczG51r8yf4ebwM6EaVcxpsIJhZpEiRMgm/IBuwTzNleqcyRek3gHLlm4DZ6fuIVG6vXFvntNCvSrnlQK9Mft+Uf0Umb5OC+oNTuf0zeaNS3s0F5ceSFhMKfjNgVOb4BmBV0TmrnAtgQKo3oJIPzAUmZ88X7k9/DpjawvmotPcEsFEm/8yUv3smbwEwoaCNJqCpoM3Hga6Z/Jtxxf3nXP2/AwsKzo0Be2fydsBvBu7K5F0HvARsmat/C/C/yhxm+jSvaF4jbZgpls2DoG1ci1unBwNH4dbwd4Armqkzhrb5vu82s0WVA3PrdAYeYFbJW1H5nvyjW+FWHkDRkv1v17MvJN/rEcAkM3s4/7uZ5a38Cp8F+uCKcUtJW6V+bgbcDxzQSr/ueDPLWqEPps+dWjuGAm40s5WZ4xn4zca4XLkZwPaS8quY0y0TlGhmC4E/AYdI6iJJ+N/LJECVsafxT8FXEPLzdEN2XoMNm1g2D4K28YyZ/SVzfFfyDQ+XNM7MHs9XMLOlkkYDF0naE1fkNcksyJsLHFM5kLQFfnMwGNgmV7ZHQf35NfYhy9a4y2B2jfX6pM8bminTg5bPz8LccaV8zxr701ybS9PnCwX5H8L7+Xomv9ocbYqfr9W4i2FoSkXk560tcxR0MkJ5B0H7cz8wDDgAX34touL7HgkML6EPtwGfAy4FHgXexJXMZIoDVTvCoqv041y8j0W82Yp2VlXJV+Z7Neu/S5X61dpsjazWUBn7RKrfvDyWOw6rO1hDKO8gaH8q/1cfqVYgY32PonnLs4g+BXm74n5dJPUEDgRGmtmaQCpJRfWao5rCy/MasAzYvaWCOealz2W51YsyWIJbunl2xP3r7U21OVqOny/w3Qdd6jD2oBMSPu8gaH8Gpc9/t1BuNB6YNKLG9o+Q1KtyIKkvHll9b8qqWId5a7BWC/+t1H6R0luDma0G7sa3wK3zVLrk3y1iFq7Az5G0zo2OpK1r7G9zzAP6Z7etSRoIbN+OMrLsl90OKGl74Ot4EN4qM1sF3Akcld/ml8q359iDTkhY3kFQnVMlHVqQPybzfS9JJ6Tvm+MW71F4FPLU5hpP1vcYag9cexbfi301vmVoOO5v/WVqd5mkB4DzJHUFFgFfAT5eo5xKwNWVkqYAq8zsD1XKXpBkTJN0LfAk8DHgaOAL+E3K+zCz1ZJOw2865kgan/raC/gSbs0PytdbT67Dt61NlnQbsDNwAmut//ZmNjBFUnarGLx/rs/HxzlD0u/wqPkt8EC1g9L3ICgklHcQVOd7VfInZL4flxL4g1kW4n7mi5NF2hKjceVbFERWjRvxgKfheFDTTGCYmb2cKXM8/pjWM3ALfCq+h/ilGuTcldoYjCs6AYXK28wWSeoH/BQYggewLcIV8/JqAsysSdJ++B7mYbir4RU8ivuaGvraLGY2RdLZwA/xc/4w/jS8y9tLRo5pwHRcWe+AK+aTzWyNH9vMFqdVkxHAN3AF/zowB/hRSf0KOgmqvosjCIIPEpJ64xHH55rZZR3bmyAIOpLweQdBEARBgxHKOwiCIAgajFDeQRAEQdBghM87CIIgCBqMsLyDIAiCoMEI5R0EQRAEDUYo7yAIgiBoMEJ5B0EQBEGDEco7CIIgCBqMUN5BEARB0GCE8g6CIAiCBiOUdxAEQRA0GKG8gyAIgqDBCOUdBEEQBA3G/wEsMnNY6q7msgAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "particle_weights = np.abs(lbn_layer.particle_weights.numpy())\n", "fig, ax = plt.plot_lbn_weights(particle_weights, \"particle\", cmap=\"OrRd\")\n", "\n", "restframe_weights = np.abs(lbn_layer.restframe_weights.numpy())\n", "fig, ax = plt.plot_lbn_weights(restframe_weights, \"restframe\", cmap=\"YlGn\", hide_feynman=True)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "#### Evolution of weights over time" ] }, { "cell_type": "markdown", "metadata": { "cell_style": "split", "slideshow": { "slide_type": "-" } }, "source": [ "![](https://cernbox.cern.ch/index.php/s/xDYiSmbleT3rip4/download?path=%2Flbn%2Fimages&files=particle_weights_evo.gif)" ] }, { "cell_type": "markdown", "metadata": { "cell_style": "split" }, "source": [ "![](https://cernbox.cern.ch/index.php/s/xDYiSmbleT3rip4/download?path=%2Flbn%2Fimages&files=restframe_weights_evo.gif)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "#### Created features" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "slideshow": { "slide_type": "skip" } }, "outputs": [], "source": [ "# store feature indices in locals (such as E_0, M_12, PX_5, ...)\n", "for i, (n, m) in enumerate(itertools.product(lbn_layer.feature_names, list(range(lbn_layer.lbn.n_out)))):\n", " locals()[\"{}_{}\".format(n.upper(), m)] = i" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": [ "# get the features produced by the LBN\n", "features = plt.get_lbn_features(lbn_layer, vectors_valid)\n", "\n", "# the variables to plot are accessible via flags, such as E_0, M_12, PX_5, ..." ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "cell_style": "split" }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# plot the mass of the 4th particle\n", "fig, ax = plt.plot_lbn_feature(\n", " features[:, M_4], labels_valid,\n", " limits=(0, 200),\n", " xlabel=\"LBN Particle 4: $m$ / GeV\")" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "cell_style": "split" }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAbsAAAGLCAYAAABeEzyzAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAASdAAAEnQB3mYfeAAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi40LCBodHRwOi8vbWF0cGxvdGxpYi5vcmcv7US4rQAAIABJREFUeJzs3XmcXFWd9/HPNxGykLAEOhAjmYDNIkEICEQYhaCCMxofogZGGYQAioCOPmH1AYbAiGFQHBE14+CwGDcEZOLC4rgEGASzCC0JDoFIQoKJIawBkrAkv+ePcytUqqu6q+pWd1cq3/frdV+dPvecc8+9FP2rc++55ygiMDMza2X9+roBZmZmPc3BzszMWp6DnZmZtTwHOzMza3kOdmZm1vIc7MzMrOU52JmZWctzsDMzs5bnYGdmZi3Pwc7MzFqeg52ZmbW8N/V1A7YEkrYDjgCWAa/2cXPMzPra1sCuwN0R8UJvHNDBrnccAfy0rxthZtZkjgF+1hsHcrDrHcsAZs6cSXt7e1+3xcysTy1atIiJEydC9rexNzjY9Y5XAdrb2xkzZkxft8XMrFn02mMdD1AxM7OW52BnZmYtz8HOzMxanoOdmZm1PAc7MzNreQ52ZmbW8hzszMys5TnYmZlZy3OwMzOzludgZ2ZmLc/BzsxsCzFt2jSGDBmycZs2bVpfN6nXeG5MM7MtxOmnn85xxx238fdhw4b1YWt6l4OdAXD89IdYvGptTWV2axvED8/cr4daZGaNNmzYsC0qwBVzsDMAFq9ay+JVa9itbXCV+df0cIvMmlM9XwzzqveL5ZQpU3jiiSe49dZbu0w74ogjeOtb38p11123Sfnp06dz3nnnsXr1avr127yfejnY2Ua7tQ3m/qnjqsp76KWze7g1Zs2p1i+G+Y9X/xfLOXPm8MEPfrDLtIjgwQcf3OT2ZsG8efMYO3bsZh/owMHOzKxmtXwxzKueL5avvvoq22yzDa+//jr33XcfF154IQcccADz58/fJG3cuHHMmDGDF198kXe84x2d6pk3bx5HHnlkI06jzznYWd0Wr1pT0/+IfsZn1jve9KY38bvf/Y5x48bR0dHBzjvvzNZbb82iRYs2SRs4cCB33HEH/fv3Z//999+kjrVr1/KnP/2Js88+u4/OorEc7Kwuu7UNqim/n/GZ9Z5+/fqxfPlydtxxx02CWLm0Bx54gPXr1zN4cPnbsgceeGCPt7c3ONhZXWrtofkZn1nvevDBBzv11sqlPfDAA3z4wx/m4osv3iT9xhtv5Oqrr2afffbp8bb2hs3/qaOZmXXS0dHRKbCVS3vggQcYP348Y8eO3WR79tln2W+//ejfv39vNrvHONiZmbWg+fPnM3bs2C7THn/8cZ5//vmytyofeOCBsoNWNlcOdmZmLWjDhg0sXLiQ5cuX88ILL5RN+8Mf/kC/fv06BcXXXnuNBQsWtMzzOmjyYCdpgKQrJC2XtFbSbElHVVl2pKSbJD0vabWkn0ravSTPIEnXSlog6QVJL0n6o6TPS9qqJO9kSVFh26WR521mltdll13GDTfcwMiRI7nsssvKpj3wwAPsscceDBkyZJOyf/rTn3jllVdaKtg1+wCVG4BJwFXAY8Bk4HZJR0bEvZUKSRoCzAK2A6YBrwFTgLsljY2IZ7Ksg4AxwO3AEmADcBjwNWAccHyZ6i8GFpekPV/7qZnZ5qrW127yHqueF9hPOOEETjjhhG7TLr/88k5l999/fyKi5mM2s6YNdpIOAT4GnBsRV2ZpM4AFwJdJQamSM4E9gEMiYm5W9o6s7NnABQAR8SzwzpKy35b0AvBZSWdFxF9L9t8REfNynZyZbbZqfe0m//EG9/oxW1HTBjtSj249cE0hISLWSboWmCZp14hY1kXZuYVAl5V9RNJvgOPIgl0XlmQ/twdKgx2ShgJrImJ9tSdjZq3BEyNsnpo52B0APBoRq0vS52Q/xwKdgp2kfsB+wHWl+7KyR0saGhEvFpXZGtiWdFvzIOAc4AlgUZk6ZgFDgFcl/RI4OyIeq+aEFi3qXF1bWxvDhw+vpriZmdWpmYPdCGBFmfRC2psrlBsGDKii7MKi9I8APyr6fR5wSkS8XpS2hvQMcRawGngHcBZwn6QDu+hlbjRx4sROaVOnTuWSSy7prqiZmeXQzMFuEPBKmfR1RfsrlaPGsrOAo0i3Ld8L7A9sU5whIm4CbipKmpn17O4BLgROr9CeNwrMnEl7e/smaW1tbd0VMzOznJo52K0l9dBKDSzaX6kctZSNiJXAyuzXWyRdAPxK0h5lBqgUl7tX0mzgfZXyFGtvb2fMmDHVZDUzswZq5vfsVpBuZZYqpC2vUO5ZUq+unrIFt5Ceyx3TTT5Izw23zKV/zcw2E80c7DqAPSVtW5I+rmh/JxGxAZhPGmhSahzwePHglAoKtzm3q6KduwOrqshnZmZ9pJmD3S1Af+C0QoKkAcDJwOzCgBBJoyTtXabswZIOKiq7F/Ae4OaitJ0kqcyxP5n9nFeUt9PDNUkfIA1UubO2UzMzs97UtM/sImK2pJuByyUNJ70GcBIwGji1KOsM4AigOGhNBz4F3CbpStIMKmeRnst9tSjfCcDpkmYCjwNDgfeTBqv8PCJ+W5T3PkkPkgLgC8CBwCmk25jTGnHOZmbWM5q5ZwdwImmqsE8AVwNbARMi4p6uCmW3KceTRkpeBHwR+CNwREQU33K8F3gI+HhW/6XAjqTA+JGSan9MmpXlAuAbwN8B3wEOzga4mJm1tGnTpjFkyJCN27Rpm8/3/Kbt2UGaMQU4N9sq5RlfIf1J4Nhu6p9HmlGlmrZcRAqcZmabpWnTpm0SoC644AIuuKC7CaXecPrpp3PccW/8yRw2bPMZm9fUwc7MzBonb7AaNmzYZhXgijnYmZltISoFqy984QssWLCAX/ziFxXLVpOnmTnYmZnV4JEzT2Td0iW9esyBo0az9/QZNZebMmUKTzzxBLfeemuXaR0dHd2uSl5NnmbW7ANUzMyayrqlS3o12OU53pw5czjooIO6Tevo6GC//bpezaGaPM3MPTszsxoNHDWasb/oclB4w3RMOLzmMq+++irbbLMNr7/+Ovfddx8XXnghBxxwAPPnz98kbdy4ccycOZOVK1eyfv16Dj/8cObNm8eYMWO47rrrePvb3w7AX//6127zNDv37MzMWsyb3vQmfve73wGpR7ZixQp+/etfd0q788476ehIk1FdddVVXH755cybN48hQ4bw8Y9/fGN91eRpdu7ZmZm1mH79+rF8+XJ23HFH9t9//43p5dI6OjoYOHAgM2fO5M1vTiunfelLX+Jv//Zvefrpp9lpp52qytPs3LMzM2tBDz744CZBrVJaR0cHxx133MYgBrDDDjsAsGHDhqrzNDsHOzOzFtTR0VE2sJVLGzt27CZpv//97xk5ciTDhw+vOk+zc7AzM2tB8+fP7xSgStPWrFnDY489xvr16zembdiwga9//etMnjy56jybAwc7M7MWtGHDBhYuXMjy5ct54YUXyqY99NBD9O/fn+uvv565c+eycOFCjjvuONauXcv5558PUFWezYEHqJiZ1Wjd0iV1vRJQ77EGjhpdc7nLLruM888/n2nTpnHOOefwla98pVPaW9/6Vvbcc08uvvhiPvzhD/P888/zoQ99iPvuu4+hQ4cC6RZmd3k2B4qIvm5Dy5M0BliwYMECxowZ09fNKevQS2cDcP/Ucd3kbM76zXrL5jSDSrN6+OGH2XfffQH2jYiHe+OY7tmZmdWglYLOlsTP7MzMrOU52JmZWctzsDMzs5bnYGdmZi3Pwc7MzFqeg52ZmbU8BzszM2t5fs/OqlbPy7St9jKsmW2e3LOzqq1buqSmYFdrfjOznuKendVk4KjRjP3FPVXl7a25A83MuuOenZmZtTwHOzMza3kOdmZm1vKaOthJGiDpCknLJa2VNFvSUVWWHSnpJknPS1ot6aeSdi/JM0jStZIWSHpB0kuS/ijp85K2KlPn9pKukbRK0suSZkk6sFHna2ZmPaPZB6jcAEwCrgIeAyYDt0s6MiLurVRI0hBgFrAdMA14DZgC3C1pbEQ8k2UdBIwBbgeWABuAw4CvAeOA44vq7AfcBuwPfAV4GjgTuEvSOyLisYacsZmZNVzTBjtJhwAfA86NiCuztBnAAuDLpKBUyZnAHsAhETE3K3tHVvZs4AKAiHgWeGdJ2W9LegH4rKSzIuKvWfqk7JjHRsQtWZ03AY8Cl1IUGM3MrLk0823MScB64JpCQkSsA64FDpW0azdl5xYCXVb2EeA3wHFVHHtJ9nP7kjpXArcW1bkKuAk4RtKAKuo1M7M+0LQ9O+AA4NGIWF2SPif7ORZYVloou924H3BdmTrnAEdLGhoRLxaV2RrYlnRb8yDgHOAJYFFJex6IiA1l6jwN2BOY39UJLVq0qFNaW1sbw4cP76qYmZnl1Mw9uxHAijLphbQ3Vyg3DBhQY9mPAKuApaSe25PAhyLi9Qa0Z6OJEyey7777brJNnz69u2JmZpZTM/fsBgGvlElfV7S/UjlqLDsLOIp02/K9pEEo2zSoPRvNnDmT9vb2TdLa2tq6K2ZmZjk1c7BbS+qhlRpYtL9SOWopGxErSc/jAG6RdAHwK0l7FA1Qqbc9G7W3tzNmzJjuspmZWYM1823MFaRbh6UKacsrlHuW1AOrp2zBLcAQ4JgGtMfMzPpYMwe7DmBPSduWpI8r2t9JNoBkPmmgSalxwOPFg1MqKNyS3K6kPQdmA2BK61xDegXBzMyaUDMHu1uA/qSRjkCaUQU4GZgdEcuytFGS9i5T9mBJBxWV3Qt4D3BzUdpOklTm2J/Mfs4rqXNn0mCWjeWBY4GfR0S553lmZtYEmvaZXUTMlnQzcLmk4aTXAE4CRgOnFmWdARwBFAet6cCngNskXUmaQeUs0nO5rxblOwE4XdJM4HFgKPB+0mCVn0fEb4vy3gL8Hrhe0j68MYNKf2BqI87ZzMx6RtMGu8yJwBeBTwA7AA8BEyKiywXVIuJFSeNJ035dROrB3gVMyV4EL7iXNCvKx0m9tteBhaTA+I2SOtdL+gBpqrDPkW51zgUmR8TCXGdpZmY9qqmDXTZjyrnZVinP+ArpT5JuMXZV/zyqm1GlkP850i3OT3aX18zMmkczP7MzMzNrCAc7MzNrebmCXTYS8l0laftLmiHpx5Im5muemZlZfnmf2V1Nevn6fQCSdiZNvbU18CIwSdKxEXFr5SrMzMx6Vt7bmIcAvyr6/UTSKMX9gZGkJXXOyXkMMzOzXPIGu2HAU0W/TwDujog/ZzOZ3AqUvvBtZmbWq/IGu1XA3wBI2p606vcvi/a/iSZ/vcHMzFpf3kD0a+BzklYD40nBc2bR/n0os8CqmZlZb8ob7L5AWqH7SuBV4JyIWAwb57E8DvhhzmOYmZnlkivYZevA/a2k7YC1EfFq0e5+pIVQ3bMzM7M+1ZDnaRHxQpm0tcAfG1G/mZlZHrlnUMleLP+2pIWSnpN0eJa+k6SrJR2Qv5lmZmb1y9Wzy5a6+R9S0JwNtBfqjIins9lVtmHTJXnMzMx6Vd7bmF8Gnie9chBs+s4dwG3AP+Q8hpmZWS55b2MeDvx7tkZclNm/lDSTipmZWZ/JG+z6AWu62N8GvJLzGGZmZrnkvY35APBBYHrpDklvAj4G/D7nMWwztm7pEjomHM55q9YC0DF3UJf5B44azd7TZ/RG08xsC5I32F0O/ELSvwM3Zmk7S3ofcAHwNuCzOY9hm6mBo0bXlH/d0iU90g4zs7wvld8haTLwdeC0LPn7gIDVwIkRcU+uFtpmq7iHdsalswG4f+q4ivk7Jhze420ysy1T7pfKI+J7km4Fjia9etAP+DPwy4h4MW/9ZmZmeTVqBpWXgf9qRF1mZmaNVlOwkzQKICKWFv/enUJ+MzOzvlBrz24JEJIGZZM+L6H8+3Wl+td4HDMzs4apNdidQgpur5X8bmZm1rRqCnYRcUNXv5uZmTWjumdQkTRY0jOSzm1kg8zMzBqt7mAXEWuA14GXG9ccMzOzxss7N+ZPgEmS1IjGlJI0QNIVkpZLWitptqSjqiw7UtJNkp6XtFrSTyXtXpJnV0lTJc3J1uJ7WtJd2QwwpfVNlhQVtl0adc5mZtZ4ed+zu5E0L+YsSd8hjc5cW5opIh6os/4bgEnAVcBjwGTgdklHRsS9lQpJGgLMArYDppEG1EwB7pY0NiKeybIeA5wPzAS+S7oeJwK/knRKRFxfpvqLgcUlac/XdXZmZtYr8ga7u4r+/e4y+0UarVnzqweSDiFNJH1uRFyZpc0AFpDW0Tusi+JnAnsAh0TE3KzsHVnZs0nzdkIKiKMi4umi434b6AD+BSgX7O6IiHm1no+ZmfWdvMGuJ189mASsB64pJETEOknXAtMk7RoRy7ooO7cQ6LKyj0j6DXAcWbCLiIdLC0bEK5JuB86SNLTclGeShgJrImJ9jvMzM7Neknci6Bsa1I5yDgAejYjVJelzsp9jgU7BTlI/YD/gujJ1zgGOrhTEiuxCWqev3Fp9s4AhwKuSfgmcHRGPdXkmmUWLFnVKa2trY/jw4dUUNzOzOuUaoCLpt5Le28X+IyX9ts7qRwAryqQX0t5codwwYECdZZHUDnwE+ElJz20N6RniZ4APk26lvhe4T9KuleorNnHiRPbdd99NtunTOy0FaGZmDZb3NuZ44D+72D8cOKLOugdRfpXzdUX7K5WjnrKSBgM3kwbZfKF4X0TcBNxUlDQz69ndA1wInF6hPW8UmDmT9vb2TdLa2tq6K2ZmZjk1YtWDrp7ZtQP1LvOzltRDKzWwaH+lctRaVlJ/0ujSfYC/j4jl3TUwIu6VNBvo9KpCOe3t7YwZM6aarGZm1kA1BztJJwEnFSVdJOlTZbJuT3p2dnudbVsBjCyTPiL7WSkYPUvq1Y0os6+rst8BJgD/GBG13HpdBuxVQ34zM+tl9fTsBgPF996GAhtK8gRpZpVvk4bw16MDOFLStiWDVMYV7e8kIjZImg8cVGb3OODx0sEpkr4CnAz834j4UY3t3B1YVWMZMzPrRTUPUImIf4+It0fE24EngM8Wfi/a9ouIQyPisxHxVJ1tu4X0ft5phQRJA0hBaXbhtQNJoyTtXabswZIOKiq7F/Ae0jM5itLPBc4BpkXE1ys1RlKnh2uSPgC8A7iztlMzM7PelPfVg90a1ZAydc+WdDNwuaThwCLS7dPRwKlFWWeQBsEUT1k2HfgUcJukK0kzqJwFrAS+WsgkqTCq8jHgfyWdUNKMX0XEyuzf90l6EJgHvAAcSHrPcBlplhYzM2tSjRigUnjJ+m+AHdg06AAQEffUWfWJwBeBT2R1PwRM6K6+iHhR0njga8BFpB7sXcCUiCi+5bh/9nMP4HtlqjqSFCABfgx8EDiadCt3Bek536VFAdHMzJpQrmAnaSfgG8BHKT8lWN3ThUGaMQU4N9sq5RlfIf1J4Nhu6r8EuKTKtlxECpxWp8Wr1nDopbMr7j9vVRoke0aWZ7e2QfzwzP16pW1m1try9uyuAT4EXA38D/Bc7hZZS9qtrdJrkeUtXlVu8hozs/rkDXZHA1+LiPMa0RhrXdX00DrmpoB4/9RxXfYAzcxqlXc9uzWkZX3MzMyaVt5g933SPJFmZmZNK+9tzFuAIyTdSXp+t4y0LM8mcizeamZmllveYFe8WvhRZfbnGo1pZmbWCHmD3ckNaYWZmVkPyjuDyncb1RAzM7OekneAykaSRkjaX9I2jarTzMysEXJPFybpGOAK0pRbkJ7d/TabXeVXwL9ExH/lPY71jEfOPJF1S5dsnL2k8K5bOeuWLmHgqNG91DIzs8bJ1bOT9CHgVuBp4FKK5sWMiKeBvwCT8xzDeta6pUtYt3RJVXkHjhrtYGdmm6W8PbuLgXsi4khJO9J5nsn7gU/nPIb1sIGjRvPlg78CpNlLzMxaTd5ndvsCN3WxfyUwPOcxzMzMcmnEdGFdDUjZHXgm5zHMzMxyyRvsZgEnSep0O1TSLqQFVP875zHMzMxyyRvsLgTeAswlPZsL4P2SLgPmkwasXJrzGGZmZrnkCnYRsRB4F+lW5RdJwe1c4AJSsHt3RCzJ2UYzM7Nccr9nFxEPA++TtAPQTgqgj0fEqrx1m5mZNULuYFcQEc+RbmeamZk1lYZNF2ZmZtasHOzMzKzlOdiZmVnLc7AzM7OW52BnZmYtr6bRmJJG1XOQiFhaTzkzM7NGqPXVgyWkWVJq1b+OMmZmZg1Ra7A7hU2DXT/g88DfAD8AFmbpewPHk4Lj1fmaaGZmlk9Nz+wi4oaI+G5hA94MDATaI+KzEfGNbPsMsCcwGNil3sZJGiDpCknLJa2VNFvSUVWWHSnpJknPS1ot6aeSdi/Js6ukqZLmSHpO0tOS7pL0vgp1bi/pGkmrJL0saZakA+s9PzMz6x15B6icDlwTEZ2W8cmmC/sOcEaO+m8AziL1Gj8PrAdul/SurgpJGkJakeEIYBowFTgAuDtbZLbgGOB8YBFwEWl+z6HArySdXFJnP+A2Uo/1m8B5pLX67pK0R45zNDOzHpZ3urAdSb23SgZneWom6RDgY8C5EXFlljYDWAB8GTisi+JnAnsAh0TE3KzsHVnZs0kTVUMKiKMi4umi434b6AD+Bbi+qM5J2TGPjYhbsrw3AY+SVnY4vp7zNDOznpe3Z/d74P9KekfpDkkHkXpjs+usexKpJ3dNISEi1gHXAodK2rWbsnMLgS4r+wjwG+C4orSHiwNdlvYKcDvwFklDS+pcCdxalHcVaaX2YyQNqPkMzcysV+Tt2X0WuAuYI+n3wGNZ+h7AO4FngX+qs+4DgEcjYnVJ+pzs51hgWWmh7HbjfsB1ZeqcAxwtaWhEvNjFsXchrcK+pqQ9D0TEhjJ1nkZ6Rjm/izpZtGhRp7S2tjaGDx/eVTEzM8sp73p2fwLeThpxuSPwD9m2I/B14O3ZEkD1GAGsKJNeSHtzhXLDgAF1lkVSO/AR4CcRsb4B7dlo4sSJ7Lvvvpts06dP766YmZnl1Ij17FYCU7KtkQYBr5RJX1e0v1I56ikraTBwM7AW+EKD2rPRzJkzaW9v3yStra2tu2JblHVLl9Ax4XDOW7UWgI65lS/rwFGj2Xv6jN5qmpltxhq2np2kEaTRiYsi4uUGVLmW1EMrNbBof6Vy1FpWUn/gRmAf4O8jYnmD2rNRe3s7Y8aM6S7bFmvgqNFV5123dEmPtcPMWk/uYCfpGOAK0nM6gKOA30raCfgVcGlEzKyj6hXAyDLpI7KfpcGo4FlSD2xEmX1dlf0OMAH4x4j4bYX21Fqn1aC4l3bGpWlc0/1Tx5XN2zHh8F5pk5m1hlzP7CR9iDQ68WnS8HsV9mWjHP8CnFy+dLc6gD0lbVuSPq5ofyfZAJL5wEFldo8DHi8dnCLpK1k7p0TEj7poz4HZAJjSOteQXkEwM7MmlPfVg4uBeyLiXcC3yuy/nzSKsR63kObUPK2QkA3vPxmYHRHLsrRRkvYuU/bg7PWHQtm9gPeQnslRlH4ucA4wLSK+3k17diYNXimU3Qk4Fvh59sqCmZk1oby3MfclzXBSyUrSc7yaRcRsSTcDl0saTprl5CRgNHBqUdYZpJlSVJQ2HfgUcJukK4HXsnauBL5ayCTpw6QX1B8D/lfSCSXN+FU2AAdSsPs9cL2kfUi92TNJAXlqPedoZma9I2+wWwNs08X+3YFOU4nV4ETSFF6fAHYAHgImRMQ9XRWKiBcljQe+RpoGrB/pfcAp2YvgBftnP/cAvlemqiNJAZKIWC/pA8BXgM+RRl/OBSZHxMIyZc3MrEnkDXazgJMkXVW6Q9IupN7VL+qtPJsx5dxsq5RnfIX0J0m3GLuq/xLgkhra8xzwyWwzM7PNRN5ndhcCbyH1cD5NWv7n/ZIuIw0SEWngipmZWZ/JO4PKQuBdpFuVXyQFt3NJEy3PB94dEUtyttHMzCyXRsyg8jDwPkk7AO2kAPp4ybMxMzOzPpMr2EkaBbwUEc9mz7PmluwfBLRFxNI8xzEzM8sj7zO7JcATkiqt5fYRYHHOY5iZmeWSN9hBet/se5K+VmZ2ETMzsz7XiImgLyTNYTkN2F/SP/h5nZmZNZOG9MQi4ivA0cAYYG65lcvNzMz6SsNuO0bELOAdwF+B/5E0uVF1m5mZ5dGw9ewgzVoi6d3AN4DrgHpXKTczM2uYhg8oiYjXIuJ00mTN7d3lNzMz62m5enYRUTFYRsT1kn4GDMlzDDMzs7waehuzVEQ8Q75VD8zMzHKrKdhJuo402fNp2ZI311VRLCLi1O6zmZmZ9Yxae3bvATaQnvWtz36Pbsp0t9/MzKxH1RTsImJ0V7+bmZk1I0/vZWZmLc/BzszMWl6tA1Q2UPszuIiIHh31aWZm1pVag9C/4AEnZma2mal1gMolPdQOMzOzHuNndmZm1vIa8ixN0luAA4DtKBNAI2JGI45jZmZWj1zBTtJA4LvAR0lBLgBlu4uf7TnYmZlZn8l7G3Ma8BHSauXjSYHuJNJCrncAfwT2z3kMMzOzXPIGu0nA9RFxBW+sXfeXiPh1REwAngc+k/MYZmZmueQNdsOBOdm/12Y/tyna/xNSz8/MzKzP5A12K4EdASJiDfAcsFfR/m2BgfVWLmmApCskLZe0VtJsSUdVWXakpJskPS9ptaSfStq9TL4zJN0saamkkHRDhfomZ/vLbbvUe45mZtbz8o7GnA28C7gi+/3nwLmSVpAC6RTg9znqv4F0q/Qq4DFgMnC7pCMj4t5KhSQNAWaRRodOA17L2nK3pLHZOnsF5wNDST3UEVW06WJgcUna89WcjJmZ9Y28we5q4FhJAyLiFeCfgUOB72X7/wx8rp6KJR0CfAw4NyKuzNJmAAuALwOHdVH8TGAP4JCImJuVvSMrezZwQVHeI4ClERGSXqqiaXdExLxaz8fMzPpOrtuYEXFvRHw+C3RExDLgbaR37vYD3hYRC+usfhJpzbxrio63DrgWOFTSrt2UnVsIdFnZR4DfAMeVnMMTEVHTFGiShkrqX0sZMzPrOw2foDkiNpBeOcjrAODRiFhdkl4YEDMWWFZaSFI/UqAtt4qOmvK3AAAgAElEQVT6HOBoSUMj4sU62zULGAK8KumXwNkR8Vg1BRctWtQpra2tjeHDh9fZFDMzq0ajZlAZBewO7MAbL5VvFBG31lHtCGBFmfRC2psrlBsGDKiibK09zjWkZ4izgNXAO4CzgPskHZj1ars0ceLETmlTp07lkksuqbEpZmZWi7wzqIwi9aCOLCSVyRZAPbf8BgGvlElfV7S/UjnqLFtRRNwE3FSUNDPr2d1Deqn+9O7qmDlzJu3t7ZuktbW11doUMzOrUd6e3XdJA1L+lTQy84XcLXrDWlIPrdTAov2VylFn2ZpExL2SZgPvqyZ/e3s7Y8aMacShzcysBnmD3TuBKyJiaiMaU2IFMLJMeuH1gOUVyj1L6tWVe42gu7L1WMam7xaamVmTyRvsniS9SN4TOoAjJW1bMkhlXNH+TiJig6T5wEFldo8DHs8xOKWc3YFVDazPMotXreHQS2eX3XfeqtQ5PyPbv1vbIH545n691jYz27zknUHlSuBUSYMb0ZgSt5Ce9Z1WSJA0ADgZmF0YECJplKS9y5Q9WNJBRWX3At4D3FxPYyR1ergm6QOkgSp31lOnVbZb2yB2a6vuY7V41RoWr2rInWkza1G5enYR8R/Z+2aPSbqF1NNb3zlbfK2OumdLuhm4XNJwYBFpRYXRwKlFWWeQXgwvHhwzHfgUcJukK0kzqJxFmt7sq8XHkfQh3liZYStgP0kXZb//LCIeyv59n6QHgXmkZ5MHAqeQbmNOq/X8rGvd9dI65qYxRvdPHVex92dmVpB3NOa+wHmkZ2H/VCFbADUHu8yJwBeBT5Bea3gImBAR93RVKCJelDQ+O+5FpB7sXcCUiCi95fhRUhAtOCDbIAXvQrD7MfBB0vJFg0nPFL8DXBoRK+s4NzMz6yV5n9ldQ5p/8tM0fjRmYcaUc7OtUp7xFdKfBI6t4hiTSXNudpfvIlLgNDOzzUzeYDcWmBoR32lEY8zMzHpC3gEqpbP/m5mZNZ28wW4q8JluJmU2MzPrU3lvYx5OWsttoaRfk0YmlhuN+fmcxzEzM6tb3mD32aJ/T6iQJwAHOzMz6zN537PLexvUzMysx9Ud7CQNJM1u0tHde29mPWHd0iV0TDh849RhhRfNKxk4ajR7T5/RG00zsyZTd7CLiHWSrgA+R1rmxqzXDBw1uqb865Yu6ZF2mNnmIe8zuwWk6bvMelVxD60wGfT9U8dVyk7HhMN7vE1m1rzyPnO7EPi0pKrWczMzM+sLjRiN+SzwS0mLSS+Zl04/HxFxTM7jmJmZ1S1vsNuP9GrBUtJyPO1l8kTOY5iZmeWS99WD0Q1qh5mZWY/xe3JmZtby8t7GBEDSEaS13v4mS3oCuC0i7m5E/WZmZnnkXbx1a+BHwETSSuHPZ7u2B86W9F/AxyPitVytNDMzy6ERqx58GPgqMCIihkXEMGAX4ErgI8DFOY9hZmaWS95gdzzw3Yg4LyJWFhIj4qmIOB+YAXwi5zHMzMxyyRvsRgCzu9g/m9TLMzMz6zN5g92TwPgu9h+R5TEzM+szeYPdd4HjJH1b0l6S+kvql/3734FjgRtyt9LMzCyHvK8eTAPeSlrq51PAhiy9H2l05nezPGZmZn0m7wwq64HJkv4N+ACbvmd3e0Q8lLN9ZmZmuTXkpfIsqDmwmZlZU/J0YWZm1vJq7tlJqrUHFxGxf63HMTMza5R6bmM+S3XL9uwC7FVlXjMzsx5T823MiBgfEUdW2oCPAx2kwSrrSSMy6yJpgKQrJC2XtFbSbElHVVl2pKSbJD0vabWkn0ravUy+MyTdLGmppJB0Qxd1bi/pGkmrJL0saZakA+s9PzMz6x0Ne2YnaWdJXwP+DHwGuBHYOyJOyVHtDcBZwA+Az5OC5+2S3tVNW4YAs0gvtU8jzeF5AHC3pB1Lsp8PvAd4GHi9izr7AbeRpkj7JnAeMBy4S9IetZ6YmZn1ntyjMSXtQgoYpwFbAd8HLouIx3PWewjwMeDciLgyS5sBLAC+DBzWRfEzgT2AQyJiblb2jqzs2cAFRXmPAJZGREh6qYs6J2XHPDYibsnqvAl4FLiUFATNzKwJ1d2zk7SLpKvYtCe3V0SckjfQZSaRenLXFBIiYh1wLXCopF27KTu3EOiyso8AvwGOK84YEU9ERDXPFScBK4Fbi8quAm4CjpE0oIo6zMysD9QzGnME8AXSjClvIq1s8KWIWNzgth0APBoRq0vS52Q/xwLLyrSvH7AfcF2ZOucAR0saGhEv1tGeByJiQ0n6HFKvdk9gflcVLFq0qFNaW1sbw4cPr7EpZmZWi3puY/4ZGEAahDINWAzsIGmHSgUi4oE6jjMCWFEmvZD25grlhmXt667swjrac083dXYZ7CZOnNgpberUqVxyySU1NsXMzGpRT7AbmP08gHQLrysivXrQv47jDAJeKZO+rmh/pXLUWbYn2rPRzJkzaW9v3yStra2tjqaYmVkt6gl2Jze8FeWtJfXQSg0s2l+pHHWW7Yn2bNTe3s6YMWPqOLSZmeVRc7CLiLrfm6vRCmBkmfQR2c/lFco9S+qBjSizr7uy3bWn0XWamVkvaOa5MTuAPSVtW5I+rmh/J9kAkvnAQWV2jwMer2NwSuF4B2YDYErrXEN6BcHMzJpQMwe7W0jP+k4rJGTD+08GZkfEsixtlKS9y5Q9WNJBRWX3Ir08fnOO9uwMfKSozp1IC9T+PCLKPc8zM7Mm0JAlfnpCRMyWdDNwuaThwCLgJGA0cGpR1hmkF8NVlDad9GrEbZKuBF4jzcSyEvhq8XEkfQgoTFS9FbCfpIuy339WtCbfLcDvgesl7QM8TXp5vT9phhYzM2tSTRvsMicCXwQ+AexAWjNvQkSUewVgo4h4UdJ44GvARaQe7F3AlOxF8GIfJQXRggOyDeDJ7JhExHpJHwC+AnyONPpyLjA5Imp9jcHMzHpRUwe7bMaUc7OtUp7xFdKfJN1i7O4Yk4HJVbbnOeCT2WZmZpuJZn5mZ2Zm1hAOdmZm1vIc7MzMrOU19TM7s0Zat3QJHRMOrzr/wFGj2Xv6jB5skZn1Fgc72yIMHDW6pvzrli7pkXaYWd9wsLOWsHjVGg69dHblDDt/Jk0JkNmtbRA/PHO/itlr6QGaWfNzsLPN3m5ttS1isXjVmh5qiZk1Kwc72+x11UMrp8seoJm1JAe7FnX89IdYvKr7lYzOy/IsXrWG3doG93SzzMz6hF89aFGLV62t6Xbdbm2Da74daGa2uXDProXt1jaY+6eO6zJPx9wU4LrLZ2a2OXPPzszMWp6DnZmZtTwHOzMza3kOdmZm1vIc7MzMrOU52JmZWctzsDMzs5bnYGdmZi3Pwc7MzFqeg52ZmbU8BzszM2t5DnZmZtbyHOzMzKzlOdiZmVnLc7AzM7OW52BnZmYtr6mDnaQBkq6QtFzSWkmzJR1VZdmRkm6S9Lyk1ZJ+Kmn3CnlPlfS/ktZJekzSP5XJc4mkKLOty3ueZmbWs5p9pfIbgEnAVcBjwGTgdklHRsS9lQpJGgLMArYDpgGvAVOAuyWNjYhnivJ+Gvg28BPg34B3A1dLGhwRV5Sp/gzgpaLf19d9dmZm1iuaNthJOgT4GHBuRFyZpc0AFgBfBg7roviZwB7AIRExNyt7R1b2bOCCLG0Q8CXgtoiYlJX9jqR+wD9LuiYiniup+5aIeLoR52jNbd3SJXRMOLyqvANHjWbv6TN6uEVmVq9mvo05idRruqaQEBHrgGuBQyXt2k3ZuYVAl5V9BPgNcFxRviOBHYHpJeW/BWwDfLBM3ZK0rSTVcC62mRk4ajQDR42uKu+6pUtYt3RJj7bHzPJp2p4dcADwaESsLkmfk/0cCywrLZT1yvYDritT5xzgaElDI+LF7BgA80ry/QHYkO3/fsm+x4EhwMuSZgJnR8TKak5o0aJFndLa2toYPnx4NcWtF9XSS6u292dmfaeZg90IYEWZ9ELamyuUGwYMqKLswuwY6yPiqeJMEfGqpGdKjvEc8E3gfuAV0rO9zwCHSDqoTFDuZOLEiZ3Spk6dyiWXXNJdUTMzy6GZg90gUlApta5of6VyVFl2EPBqhXrWFR8jIr5esv8nkuYAPyA9I/zXCvVsNHPmTNrb2zdJa2tr666YmZnl1MzBbi2ph1ZqYNH+SuWosuxaYOsK9Qzs4hgARMQPJX0VeB9VBLv29nbGjBnTXTYzM2uwZg52K4CRZdJHZD+XVyj3LKlXN6LMvtKyK4D+koYX38qUtDVp4EqlYxRbRrp1apuRxavWcOils6vOv1vbIH545n492CIz60nNPBqzA9hT0rYl6eOK9ncSERuA+cBBZXaPAx7PBqcU11Ga9yDStSl7jIJsROZoYFVX+ay57NY2iN3aBledf/GqNSxe1WUn38yaXDP37G4BzgFOAwrv2Q0ATgZmR8SyLG0UMDh7taC47L9mA0fmZfn2At5TqCvzW1JP8Azg9qL0M4A1wG2FBEltEVEa1M4A2oA7852q9aZae2i19ADNrDk1bbCLiNmSbgYulzQcWAScROpJnVqUdQZwBFD83tt04FPAbZKuJM2gchawEvhq0THWSvpn4FvZsX5JGmV5AnBhRDxbVOcTkn5M6jWuA95Feum9A/iPRp23mZk1XtMGu8yJwBeBTwA7AA8BEyLinq4KRcSLksYDXwMuIt2SvAuYUto7i4jpkl4jzazyf0jP4KYApaMvf0CateWjpMErT5BmcvlSRKyp/xTNzKynNXWwy2ZMOTfbKuUZXyH9SeDYKo/zHeA73eT5VDV1mZlZ82nmASpmZmYN4WBnZmYtz8HOzMxanoOdmZm1vKYeoGK1e+TME1m3dAnnZS9Bd8ytNIVosm7pkqqXsjEz21w52LWYjWurDdq5qvy1rNtmldWy0Ct4sVez3uZg14IGjhrNlw/+CgD3Tx3XTW7Lq9YvC17o1az3OdiZ5VRrD82LvZr1Pg9QMTOzludgZ2ZmLc/BzszMWp6f2ZlVwYu9mm3eHOzMurFbW9fvKpZavMqLYJg1Gwc7s254sVezzZ+DnVkfqOUldL+Abpafg51ZL6vlJXS/gG7WGA52Zr2sll6aX0A3awy/emBmZi3Pwc7MzFqeg52ZmbU8P7Mza3JePsgsPwc7sx7QqBlXvHyQWWM42Jk1WCNnXPHyQWaN4WBn1mCeccWs+XiAipmZtTz37MyaQCNXVfCAFrPOHOzM+lgjn/F5QItZeU0d7CQNAP4F+ASwA/AQcFFE/KqKsiOBrwFHk27XzgKmRMTjZfKeCpwD7AYsA66OiG/kqbPEMIBnnnmmu2ZbBU899RTTp0/nzDPPZPjw4X3dnIZq5DO+7npopdexY8LhnpS6Rq38WewtRX8Lh/XWMZs62AE3AJOAq4DHgMnA7ZKOjIh7KxWSNIQUiLYDpgGvAVOAuyWNjYhnivJ+Gvg28BPg34B3A1dLGhwRV9RTZxk7ADz33HM1nby9YdWqVVx66aUce+yx/gNDbbc9i295ll5HT0pdO38W8yv6W7hDbx2zaYOdpEOAjwHnRsSVWdoMYAHwZeCwLoqfCewBHBIRc7Oyd2RlzwYuyNIGAV8CbouISVnZ70jqB/yzpGsi4rla6jTrabXc9ly44mUWrnh5Y2Bc81S6CXH89IcYPPwl2PkzsHPn+sv1NmvtBYJ7gtY8mjbYkXp064FrCgkRsU7StcA0SbtGxLIuys4tBKWs7COSfgMcxxuB6UhgR2B6SflvAf8IfBD4fo11mvWoWm57Hj/9IRavWlt1/tLgWOyUtdux06CdoaS+rd7Uj7fsMKBT/rV/fpS1f37UwdGaQjMHuwOARyNidUn6nOznWNLztU1kvbL9gOvK1DkHOFrS0Ih4MTsGwLySfH8ANmT7v19jnWZNozQwPvzwEPadntLHjBnTKX9XwfG6wy/qlLZwxcsA7DVim077Tll7GTu99NdOwbGSXVYvY+2fH+W/xh1cVf6+snRNOp9ff+wfeHRwbYOL+lqlLyalnnzuFV57fUPu4z09ZJeyn5tnH3k0d921auZgNwJYUSa9kPbmCuWGAQOqKLswO8b6iHiqOFNEvCrpmaJj1FJnOVsBzJ7d+dvyDjvswI477lihWO3+/GL641O4XfXww0MaVndfWrRo0SY/rT7dXccLj+gPVP+ZOe9Hf+HJ515hzVOd931z7+NrattH5v0H2695GtZU3xPtCyvWrdvk5+bi1fUpeP159ctV5926f/2vYu/08l9Zs2btxr9FxZYtXVr451Z1H6BGzRzsBgGvlElfV7S/UjmqLDsIeLVCPetK8lVbZzmDAS6//PIusjTYPekPzb6lN2g3cxMnTuzrJrSEZryOD/V1A2p0xaI/93UTNgPPwIIuv/QM7q2WNHOwW0vqTZUaWLS/UjmqLLsW2LpCPQNL8lVbZzk/A04E1pBGcRZ7Dni2i7JmZq1ma2BX4O7eOmAzB7sVwMgy6SOyn8srlHuW1AMbUWZfadkVQH9Jw4tvZUramjRwpZCvljo7iYgXgO9V2m9mtgV6sDcP1sxzY3YAe0ratiR9XNH+TiJiAzAfOKjM7nHA40UDSQp1lOY9iHRtOuqo08zMmkwzB7tbgP7AaYWEbEaVk4HZhdcOJI2StHeZsgdLOqio7F7Ae4Cbi/L9ltRrO6Ok/BmkW4631VGnmZk1GUVEX7ehIkk3AR8mTdG1CDgJOAR4b0Tck+W5CzgiIlRUbiipizwUuJL0nOwsUvAcGxGrivKeSXqv7hbgl6QZVE4ELoyIafXUaWZmzaXZg91A4IvACbwxN+Y/R8Qvi/LcRUmwy9LfwqbzWN5Fmsey05hrSZ8izYJSmBvzm8DXo+Ti1FKnmZk1kYjw1kMbafTmFaTBK2uB2cBRfd2uZtyA8UBU2N5Zkvcw4F7Srea/AlcDQ/r6HPrgmg0BLgXuJN2OD2Byhbxvy/K9lOX9HtBWJl8/4DxgMem1moeAj/f1ufb1NSTN01vus/mIryEHkzoIDwMvA0uBm4A9m+lz2MyjMVvBDdQxkfUW7mpgbknaxp6zpLHAb4D/Jd1GfgtpxYo9gL/vpTY2i52Ai0l/XP5I+sLQSXZH4h7gBdK0dkNI1+ztkg6JiOJ3Tb8EfAH4Dum/wzHADyVFRNzYQ+fRl6q6hplXgE+WpL1QJt+Wdg3PB/6WNHbhIWAX4LPAA5LeGRELoAk+h339raBVN9KzxQDOKUobSPrDfV9ft6/ZNt7o2U3qJt/tpJ7ytkVpn8zKHt3X59HL12wAsEv274Oo3CuZTuoFjypKe1+W/7SitJGkSRa+WZSm7A/UMqB/X59zH17DG4CXqqhvS7yGhwFbl6TtQeqRfb8orU8/h808GnNzV3Yia+Ba4FBJu/ZVw5qdpKGSOt11yF5DOYr0P1DxnKkzSLdFjuulJjaFiHglIv5aRdaPAr+IiI1zNEXEr4FH2fSaHUOavml6Ub4A/p3Ugz60Ee1uJjVcQwAk9S/zOlSxLfEa3heb9sqIiMdItzXfVpTcp59DB7ueU81E1tbZ9cBqYJ2kWcWvegBvJ02EsMnE3dn/aB28MbG3ZbIFh4fTebJzSJ/F4mt2AOmZy/+WyQe+voNJn80XJD0r6VvZOpfFfA0BSSItHvV09nuffw79zK7n1DuR9ZbqVdICureT/gfZh3Q//38kHRYRD/LGbDWVruu7e6Ohm5nurtkwSQMiojBD0MrsW3RpPtiyP7MrSOtoPkDqJPwdaY3L/SWNj4jXs3y+hsk/km5HXpz93uefQwe7nlPvRNZbpIi4D7ivKOlnkm4hPfC+nPTHpbsJuX1NO6t2EvNX8Ge2ooj4fyVJN0p6lDSQYhJQGDSxxV/DbJKPbwH3A9/Nkvv8c+jbmD2n3omsLRPp/cWfAkdK6k/3E3L7mnZW68To/sxW72ukdS/fV5S2RV9DSbuQZp56gTTYbH22q88/hw52PWcFdU4cbZtYRpohfRveuI1R6br6mnbW3TV7Nrt1VMi7S/a8pTQf+PpuIiLWAs+Q1rss2GKvoaTtgDuA7YG/i4jic+3zz6GDXc+payJr62R30u2Ll4AFwOuUTMidrVIxFl/TTiLiL8Aqyk9ifgibXrMO0iCMt5Xk82e2jGwKwZ1I17dgi7yG2WxXPwf2BCZExJ+K9zfD59DBrudUNZG1JZLayqTtD/wf4L8jYkOkpZJ+DZyQ/aEp+ATpBVVPyF3eT4AJxa+7SHov6Q9T8TX7KWnO1zOL8gk4HfgLmz5T3WJIGljyeSv4Z9L7X3cWpW1x1zB7xPBj0isBx0bE/RWy9unn0ANUekhEzJZ0M3C5pOG8MZH1aODUvmxbk/qxpLWkD/JTpNGYp5FeQv1CUb4Lszx3S7qG9N7N2aSAeCdbGEmfJd02KoxQ+1A2UwXAN7IvCNOAY4FZkr5O+mJwLmnZqusLdUXEk5KuAs6VtBVp5oqJpFGu/1j0/KWldHcNSfPyPijpR8AjWfr7gQ+QAt1PC3Vtodfwq6QvpT8njao8oXhnRHw/+2fffg77+u37Vt5ID1S/QroHvY70nsj7+7pdzbgBnyPNHfoM6VvdctK8ee1l8r4L+B3pQfVTpHn5hvb1OfTRdVtC5TlFRxflG0Na1eNl4Dng+8DOZerrB/y/rN5XSLeO/7Gvz7MvryEpEH6PNOXfy9n/ywuy67TVln4NSRPiV7p+UZK3zz6HTb3qgZmZWSP4mZ2ZmbU8BzszM2t5DnZmZtbyHOzMzKzlOdiZmVnLc7AzM7OW52BnZmYtz8HOzMxanoOdmZm1PAc7MzNreQ52ZmbW8hzszMys5TnYmfUySZMlhaTRvVHOzBzsrIcU/WEutzJxaZ7i7SlJsyT9fYW86ySNLFPXXZIW1NCuKKrvUUnflLRzfWdb8ViHSbpE0vaNrLdRJA2RdKmkOyU9m12PyRXyHpxdo4clvSxpqaSbJO3Zy82umaR+klZJOq+KvLtl5/mopDXZ9idJ35K0Xx3H/llWR7nFXwt5fiDpVUk71lq/Vc/BzprBxaTVxk8Evgy0AbdLmlAm7wA2Xcw17zE/S1oM9gzgfkmDG1B3wWHAVNJ6aMW+BwwCnmjgseqxE+k6vA34Yzd5zwc+CvwG+DxwDXA48ICkfXuykQ1wCOlcb+sqU/Z5W0D6XPwamEI61ztIC7V2SPqbGo/9A9J/6w9XOOZg4Bjgzoh4psa6rQZeqdyawR0RMa/wi6RrgZXAx4FflOTtAD4l6fKIWN6gY/6npGeAs0h/eH6Uo14kbRMRL1faH2ml5WZYsXoFMCIi/pr1wOd2kfffgOMj4tVCgqQfk1aZ/gJwQqWCTeADwBMR8XClDJLeCtxI+gLy3ohYUbL/fOBMYEONx/4Z8CJwPDCjzP5jgG1IQdF6kHt21oyeJ61C/nqZfdOA/jSmd1fst9nP3QAk/Y2k6ZIWSlor6RlJN5c+L8tuU4akfST9UNJzwL2SLiGtUg+wuOi26ehKz94kjZR0raTlkl6RtFjSv0vauquGZ+Wuk7QyK/ewpFO6O+GIeCUi/lrFtSEi7isOdFnaY8DDpJ5haZv2ljSqu3qz23x/kHS8pI7sWi+RNKWadlXpg3TTqwPOIwWdk0sDHUBEvB4RV0fEsuL07q59RKwFbgXeK2l4meMeTwqGP6vxnKxG7tlZM9hO0k6AgOHAPwFDgO+XybuY9A35U5L+NWfvrthbs5+FW0kHk25D3gg8CYwm3eq8S9I+EbGmpPzNwGPABdl53AvsSeqdTgGezvKtKndwSW8G5pBueV4DPAKMBCYBg4FXK5TbGfg9EMA3s/r/HrhW0rYRcVVVZ18HSQJ2JgW8Uv8L3A2M76aat5OCzDezbSXwSeDfJD0aEd0Fqe7auAtwAOl2bVcmAIsiYnYNdVd77X8AnAQcl+UrlB8GvB/4URYUrSdFhDdvDd+AyaQ/AgdVkad0WwecVKk+YHfgNeDrRfvvAhbU0K73kp7jvAX4B1IwWgOMzPINKlP2nVnZTxSlXZKl/bBM/nOyfaMrtGF0Udp3Sbc2O10vQF2U+09gObBjSZkfkXrInc6jwnU5KKt7cg3/jU/IypxSZl8Ad3VTfijptuALwN5F6W3Zf4tO17SOz+EpWV0VrwOwbdbe/yqzb/vsc1LYBhXtq+rak+5ELAfuK8n36ey4R+c9T2/db76Nac3gM8BR2XYCMIv0HO0j5TJHxOOkQR6nSRpR5zF/TfomvozUe3sJ+HBE/CU7xsZv2pK2ykbKLSL9ETuwTH3frrMdSOoHTAR+HkXPLgsi+8tYppxIg0Z+nv26U2EDfglsV6GtuUnaG/gWcD8pUJe2WRExvptqxpB6wf8aEY8UlV1F6hnu2oCmfgCYFV33nLbNfr5UZt9dpM9JYfsM1HbtIz2jvRE4tOTW9fGknuxv6jkxq42DnTWDORHx62z7AekZy5+Ab3bxvOoy0m34ep/dFQLskcA+wO4R8cvCTkmDJP2LpGXAK6Se3yrSN/3tytS3uM52QOrJbEsaCVhrue2B09j0D/Iq4PosT7nnRLlktwZvI/XIJmV/zOvx9uzn9yrsfzk73qmSXsq2VyW9VvT7f3fRzq1I/427uxX6YvZzSJl9n+aNL2HFar32hQEox2dtewvwbuDGHNfPauBndtZ0ImKDpFmkYd97UOaZUEQ8Lun7pN7dv9ZxmDnlelFFvgGcDFxF6r28QLrldCPlvyT2xTOXQju+T5neVeahRh5Q0nakofjbA++OfM9M9wWejYgnS44xkPQF5BsAEXEtcG227xrgpYg4q4r630X6EnF7V5ki4gVJK7L2lO6bnR13dMmumq59RPxB0iOkZ7jTsp/CozB7jYOdNavCZ7Pct+2Cy0jfuM/vgeNPAr4bEf+/nTsGkeqKwjj+PyhBsBHJBiMxKIuxyLpaCdsvEhVtxIALKRTFiAqCjYqFGgJBTCGiKQSxEbQQBE1QsFACioJY6RJEs6QRtHG1EIv1WJw7OBZKufIAAANKSURBVA73zby3ml25fj94MMzc+7j7ZnbOvHvPuXtaT6Qv4SYF4tnpx4xnwAsyX7Y1+r0EZrj7tYZ9G0t//yUi8WbY3R984CmXki/B2ATMAi5kXhuk/pTxGuCBu4/VaPsnsMXMVrj7nRrtJ3PtzwK/pOL0EeChu3cr95CPSNOY8slJ008riQzE0ap27v6I+GW9DZj3kYcxQfzybreLSDaoq1Vr1zVAuvsb4CKw1jI7zqT1oVy/CSIgrM8VdptZX4OxdmVmM4DzwBCwwd1v9Whfp/RgAOgzs8Vt/fqAfcBV78iMTNdhgPp3q6vpPYXZcoRIZDlt+Z103nsPJnntW3dxh4Hl6K5uSunOTv5vm83sh8zzx9oer0oJDxDrHCPE9OVv7v6ix/l/JXa8WEI+BX6yLgM/mdk4sX44BAzzrjShjrutMZrZOSKD9FJF2/1EgL+RpupGga+BDcR03POKfnuJdcfbZnYqjXUukRwxnB5XMrOdRDCen55am9aTAI67+3h6/DuwLo1/rpm9t4bl7p1lIl1LD1JA6SMC12UzO0HsNLKD+EGRqxPsJ3bQ6fk+m9kiov5ve6+2afwPzWyEyKT8x8zOErvKGFF7OUJkjrZPuTa69u7+r5ndJArJQcFuak13OqiOMg+qywpaxzcVbV4B94CfSSn3HefLpeafSa81KT2oLIlI7eYAp3k3XXWFCKhjwJm2dgfT+b6sOM8B4gtyIrVbSKaEILX9llj/eUqUXzwi6rK+6Bh7Z7+vUrv/iLvhJ0S26dYa12Osy3u0sK3d9W7vZ+a8XUsPiGDgRD3jKSKYjxNrogsq+qwH7tf8/O1I55zZ8HPbD5wkaiZfEXd7o8AfwLJM+0bXntiFxYHb0/0/+rkdrfodEZEpY2a7gaPAbHd/XbPPIeA7d99Yo+1fRCLLjx82UimFpjFFZDosBR7XDXTJILHLTB3Xgb+bDkrKpWAnItNhgC7JRxUGiV1LenL3I41HJEVTsBORKZWyKr8ndsqpzd37e7cSydOanYiIFE91diIiUjwFOxERKZ6CnYiIFE/BTkREiqdgJyIixVOwExGR4inYiYhI8RTsRESkeAp2IiJSPAU7EREpnoKdiIgUT8FORESK9xYdBBR6h791OAAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# plot the mass of the 12th particle\n", "fig, ax = plt.plot_lbn_feature(\n", " features[:, M_12], labels_valid,\n", " limits=(0, 200),\n", " xlabel=\"LBN Particle 12: $p_T$ / GeV\")" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "cell_style": "split" }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# plot the pseudorapidity of the 4th particle\n", "fig, ax = plt.plot_lbn_feature(\n", " features[:, ETA_4], labels_valid,\n", " limits=(-3.5, 3.5),\n", " xlabel=r\"LBN Particle 4: $\\eta$\")" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "cell_style": "split" }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAbsAAAGLCAYAAABeEzyzAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAASdAAAEnQB3mYfeAAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi40LCBodHRwOi8vbWF0cGxvdGxpYi5vcmcv7US4rQAAIABJREFUeJzt3Xu81FW9//HXG1QugiayUTQJFM0jXrBMjl0UO+aptJMWesrMvKSpdSozL0dNsBSz7KRdqPSnGZmVmocuap0s1GMWYLiPYHkhQTQIN95QYaPC5/fH+m4cZs/sPTPf2XvPHt7Px2Mee8/6rrW+azHAZ9b3u9b6KiIwMzNrZgP6ugFmZmY9zcHOzMyanoOdmZk1PQc7MzNreg52ZmbW9BzszMys6TnYmZlZ03OwMzOzpudgZ2ZmTc/BzszMmp6DnZmZNb3N+roBmwJJWwMHAU8AL/dxc8zM+toWwE7AXRHxfG+c0MGudxwE/LyvG2Fm1mDeD/yiN07kYNc7ngCYNWsW48eP7+u2mJn1qUWLFnHEEUdA9n9jb3Cw6x0vA4wfP54JEyb0dVvMzBpFr93W8QQVMzNreg52ZmbW9BzszMys6TnYmZlZ02voYCdpkKTLJC2TtEbSHEnvqrDsjpJulPScpFWSfi5p56I8O0maKmmupGclrZR0p6RDStR3vKQo89q+Xn02M7P6a/TZmNcBU4ArgEeB44HbJB0cEfeUKyRpGDAb2BqYDrwCnAHcJWliRDydZX0/cA4wC/gB6c/jOOC3kk6MiO+XqP5CYHFR2nM19c7MzHpFwwY7SfsDHwLOiojLs7SZwELgK8Bbuyh+OrArsH9EzMvK3p6VPRM4L8s3GxgTESsLzvtdoBX4IlAq2N0eEffl6JqZmfWyRr6MOQVYB1zVkRAR7cA1wAGSduqm7LyOQJeVfQj4HXB0QdqDhYEuS1sL3Aa8XtLwUpVLGi5pYPVdMjOzvtCwIztgX+CRiFhVlD43+zmREqvvJQ0A9gauLVHnXOBQScMj4oUuzr09sDp7FZsNDANelvQb4MyIeLTLnmQWLVrUKa2lpYVRo0ZVUtzMzGrUyMFuNLC8RHpH2g5lyo0ABlVQ9uFShSWNBz4A3BQR6woOrSbdQ5wNrALeDHwOuFfSmyKi221vsu1xNjJ16lSmTZvWXVEzM8uhkYPdEGBtifT2guPlylFLWUlDgZuANcC5hcci4kbgxoKkWdnI7m7gfODUMu15rUCJvTFbWlq6K2ZmVhfTp09n+vTpG96fd955nHfeeV2UaB6NHOzWkEZoxQYXHC9XjmrLZvfgfgLsAbwnIpZ118CIuEfSHKDTUoVSvDemmfWlU089laOP3jBtgREjRvRha3pXIwe75cCOJdJHZz/LBaNnSKO60SWOdVX2auBw4CMR8fsq2vkE8MYq8vcLx8x4gMVt5b5PdDauZQg3nL53D7bIzPIaMWLEJhXgCjVysGsFDpa0VdEklUkFxzuJiPWSFgD7lTg8CXiseHKKpK8CJwCfjYgfV9nOnYG2Kss0vMVta1jctppxLUMryFtqHo9Zc6r2i2A91Ppl8owzzuDxxx/nlltu6TLtoIMOYpddduHaazee1zdjxgzOPvtsVq1axYABjTx5v3uNHOxuBj4PnAJ0rLMbRApKczomhEgaAwzNlhYUlv2ypP061sRJeiPwzo66Okg6KzvP9Ii4slxjJLVERFtR2ntJE1W+kaejjWpcy1D+OHVSt/kOuGhOL7TGrDFU80WwPuer/cvk3LlzOeyww7pMiwjuv//+jS5vdrjvvvuYOHFivw900MDBLiLmSLoJuFTSKGAR8DFgLHBSQdaZpCeBqyBtBnAycKuky0k7qHwOWAF8rSOTpCNJC9QfBf4q6diiZvw2IlZkv98r6X7gPuB54E3AiaTLmNMxs01GpV8E66GWL5Mvv/wyW265Ja+++ir33nsv559/Pvvuuy8LFizYKG3SpEnMnDmTF154gTe/+c2d6rnvvvs4+OCD69GNPtewwS5zHPAl4KPANsADwOERcXdXhSLiBUmTga8DF5AWz98JnFE0Otsn+7kr8MMSVR1MCpAAPwUOAw4FhpLuKV4NXFQQEM3M+txmm23GH/7wByZNmkRrayvbbbcdW2yxBYsWLdoobfDgwdx+++0MHDiQffbZZ6M61qxZw1/+8hfOPPPMPupFfTV0sMt2TDkre5XLM7lM+pPAUd3UPw2YVmFbLiAFTjOzhjZgwACWLVvGtttuu1EQK5U2f/581q1bx9ChpS/LvulNb+rx9vaG/n8h1szMOrn//vs7jdZKpc2fP58jjzyS+++/f6PXOeecw5AhQ9hjjz16s9k9xsHOzKwJtba2dgpspdLmz5/P5MmTmThx4kavZ555hr333puBA5tjG2AHOzOzJrRgwQImTpzYZdpjjz3Gc889V/JS5fz580tOWumvHOzMzJrQ+vXrefjhh1m2bBnPP/98ybQ///nPDBgwoFNQfOWVV1i4cGHT3K8DBzszs6Z08cUXc91117Hjjjty8cUXl0ybP38+u+66K8OGDduo7F/+8hfWrl3bVMGuoWdjmpk1osVtq3ttM4VaF7Afe+yxHHvssd2mXXrppZ3K7rPPPkRE1edsZA52ZmZVGNdS7oErPXW+ob1+zmbkYGdmVgVveN4/+Z6dmZk1PQc7MzNreg52ZmbW9BzszMys6TnYmZlZ03OwMzOzpudgZ2ZmTc/BzszMmp6DnZmZVWT69OkMGzZsw2v69Ol93aSKOdiZmW0i8garU089ldbW1g2vU089tYdaWn/eLszMbBNx6qmncvTRR294P2LEiKrKjxgxouoyjcLBzko68e6LGfniP2id1/0GtGe3rQHgoRX/xO4zZvZ008ysRuWC1bnnnsvChQv51a9+VbZsJXkamYOdlTTyxX8w8sXl0LJzhfmX077UO7Nb83vo9ONoX7qkV885eMzYmr5InnHGGTz++OPccsstXaa1trZ2+1TySvI0Mgc7K2vlsNG841d3d5vvtIvmcPZtn2J4L7TJrK+1L11C+9IlDB4zttfOV6u5c+dy2GGHdZvW2trKCSec0GVdleRpZA52ZmZVGjxmLBMr+CJYD62HH1h1mZdffpktt9ySV199lXvvvZfzzz+ffffdlwULFmyUNmnSJGbNmsWKFStYt24dBx54IPfddx8TJkzg2muvZa+99gLgH//4R7d5Gp1nY5qZNZnNNtuMP/zhD0AakS1fvpw77rijU9qvf/1rWltbAbjiiiu49NJLue+++xg2bBgf/vCHN9RXSZ5G55GdmVmTGTBgAMuWLWPbbbdln3322ZBeKq21tZXBgwcza9YsdthhBwAuueQS3va2t7Fy5UpGjhxZUZ5G55GdmVkTuv/++zcKauXSWltbOfroozcEMYBtttkGgPXr11ecp9E52JmZNaHW1taSga1U2sSJEzdK+9Of/sSOO+7IqFGjKs7T6BzszMya0IIFCzoFqOK01atX8+ijj7Ju3boNaevXr+fKK6/k+OOPrzhPf+BgZ2bWhNavX8/DDz/MsmXLeP7550umPfDAAwwcOJDvf//7zJs3j4cffpijjz6aNWvWcM455wBUlKc/8AQVM7MqtS9dUtOSgFrPVcuavosvvphzzjmH6dOn8/nPf56vfvWrndJ22WUXdtttNy688EKOPPJInnvuOd73vvdx7733Mnx4Wjnb2trabZ7+QBHR121oepImAAsXLlzIhAkT+ro5FfnvSW8B4Mg587rNe0C2qHxcy5BeW3tk1lf60w4qjerBBx9kzz33BNgzIh7sjXN6ZGdmVoVmCjqbEt+zMzOzpudgZ2ZmTc/BzszMmp6DnZmZNT0HOzMza3oOdmZm1vQc7MzMrOk52JmZWdNzsDMzs6bnYGdmZk3Pwc7MzJqeg52ZmTU9BzszM2t6DnZmZtb0HOzMzKzpNXSwkzRI0mWSlklaI2mOpHdVWHZHSTdKek7SKkk/l7RzUZ6dJE2VNFfSs5JWSrpT0iFl6nydpKsktUl6SdJsSW+qR1/NzKznNHSwA64DPgf8CPgMsA64TdLbuyokaRgwGzgImA5MBfYF7pK0bUHW9wPnAIuAC4AvAcOB30o6oajOAcCtwDHAt4CzgVHAnZJ2zdVLMzPrUQ37pHJJ+wMfAs6KiMuztJnAQuArwFu7KH46sCuwf0TMy8renpU9EzgvyzcbGBMRKwvO+12gFfgi8P2COqdk5zwqIm7O8t4IPAJcRAqCZmbWgBp5ZDeFNJK7qiMhItqBa4ADJO3UTdl5HYEuK/sQ8Dvg6IK0BwsDXZa2FrgNeL2k4UV1rgBuKcjbBtwIvF/SoKp7aGZmvaJhR3aky46PRMSqovS52c+JwBPFhbLLjXsD15aocy5wqKThEfFCF+feHlidvQrbMz8i1peo8xRgN2BBF3WyaNGiTmktLS2MGjWqq2JmZpZTI4/sRgPLS6R3pO1QptwIYFCNZZE0HvgA8LOIWFeH9mxwxBFHsOeee270mjFjRnfFzMwsp0Ye2Q0B1pZIby84Xq4ctZSVNBS4CVgDnFun9mwwa9Ysxo8fv1FaS0tLd8X6jfalS2g9/MCK8g4eM5bdZ8zs4RaZmSWNHOzWkEZoxQYXHC9XjmrLShoI/ATYA3hPRCyrU3s2GD9+PBMmTOguW7+0ctj2jGvpNt4DKSiamfWmRg52y4EdS6SPzn4WB6MOz5BGYKNLHOuq7NXA4cBHIuL3ZdpTbZ2bjGsPvICTp06qKG+loz8zs3pp5GDXChwsaauiSSqTCo53EhHrJS0A9itxeBLwWPHkFElfBU4APhsRP+6iPe+QNKBoksok0kSWR7rtUR87ZsYDLG7rdgAKwGfXrWeLgY18S9fMrHKN/L/ZzcBA0kxHIO2oQgpKcyLiiSxtjKTdS5R9i6T9Csq+EXgn6Z4cBelnAZ8HpkfEld20ZzvS5JWOsiOBo4BfZksWGtritjUsblvdfUZgi4ED2HyzRv7rYWZWuYYd2UXEHEk3AZdKGkXa5eRjwFjgpIKsM0k7paggbQZwMnCrpMuBV0g7sawAvtaRSdKRpAXqjwJ/lXRsUTN+GxErst9vBv4EfF/SHsBK0uL1gaQdWvqFcS1D+WMFlxtb51V2/83MrD9o2GCXOY60hddHgW2AB4DDI+LurgpFxAuSJgNfJ20DNgC4EzgjWwjeYZ/s567AD0tUdTApQBIR6yS9F/gq8GnS7Mt5wPER8XAtnTMzs97R0MEu2zHlrOxVLs/kMulPki4xdlX/NGBaFe15Fvh49jIzs34i102Z7H7Z24vS9pE0U9JPJR2Rr3lmZmb55R3ZfQMYBhwCIGk70ubKWwAvAFMkHRURt5SvwszMrGflnW63P/DbgvfHke5l7UNaI/c70kxHMzOzPpM32I0Anip4fzhwV0T8LVuLdgtQvCzAzMysV+UNdm3AGyA9xRv4Z+A3Bcc3o8EnwZiZWfPLG4juAD4taRUwmRQ8ZxUc34MSj+Gx5rO4bTUHXDSnorznP7uW12/jx/+ZWe/JG+zOJT3H7XLgZeDzEbEYNux2cjRwQ85zWIOrdANoSEHxlVeLHwloZtazcgW7bHeRt0naGlgTES8XHB4A/Ase2TW9G07fu+K8lY7+zMzqqS730yLi+RJpa4D/q0f9ZmZmeeTe6TdbWP5dSQ9LelbSgVn6SEnfkLRv/maamZnVLtfILtsQ+X9JQXMOML6jzohYme2usiUbb9xsZmbWq/JexvwK8BxpyUGw8Zo7gFuBf895DjMzs1zyXsY8EPhO9iSBKHF8KaWfNm5mZtZr8ga7AaSndJfTAjT8Q03NzKy55Q1284HDSh2QtBnwIdIDT83MzPpM3mB3KfBuSd8B9szStpN0CPA/wD8BX855DjMzs1zyLiq/XdLxwJXAKVny9YCAVcBx3T1V3MzMrKflXlQeET+UdAtwKGnpwQDgb8BvIuKFvPWbmZnlVa8dVF4C/rsedZmZmdVbVcFO0hiAiFha+L47HfnNzMz6QrUjuyVASBqSbfq8hNLr64oNrPI8ZmZmdVNtsDuRFNxeKXpvZmbWsKoKdhFxXVfvzczMGlHN6+wkDZX0tKSz6tkgMzOzeqs52EXEauBV4KX6NcfMzKz+8u6g8jNgiiTVozFmZmY9Ie86u58AM4DZkq4mzc5cU5wpIubnPI+ZmVnN8ga7Owt+f0eJ4yLN1vTSAzMz6zN5g52XHpiZWcPLuxH0dXVqh5mZWY/JNUFF0u8l/UsXxw+W9Ps85zAzM8sr72zMycB2XRwfBRyU8xxmZma55A120PU9u/GAH/NjZmZ9qup7dpI+BnysIOkCSSeXyPo6YG/gthrbZmZmVhe1TFAZCrQUvB8OrC/KE6SdVb4LfLG2ppmZmdVH1cEuIr4DfAdA0mLgMxHxi3o3zMzMrF7yLj0YV6+GmJmZ9ZS8i8oBkDQceAOwDWnXlI1ExN31OI+ZmVktcgU7SSOBbwIfpPSWYN4uzMzM+lzekd1VwPuAbwD/Czybu0VmZmZ1ljfYHQp8PSLOrkdjzMzMekLeReWrSY/1MTMza1h5g931wJH1aIiZmVlPyXsZ82bgIEm/Jt2/ewJYV5zJD281M7O+lDfY3VPw+7tKHPdsTDMz63N5g90JdWmFmZlZD8q7g8oP6tUQMzOznlKPR/wAIGm0pH0kbVnHOgdJukzSMklrJM2RVOpyaamyO0q6UdJzklZJ+rmknUvkO03STZKWSgpJ15Wp7/jseKnX9jm7amZmPSj3dmGS3g9cBuyaJb0L+H22u8pvgS9GxH/XWP11wBTgCuBR4HjgNkkHR8Q95QpJGgbMBrYGpgOvAGcAd0maGBFPF2Q/h/TkhrnA6AradCGwuCjtuUo6Y2ZmfSPvdmHvA24B/gjcAEzrOBYRKyX9nRSgqg52kvYHPgScFRGXZ2kzgYXAV4C3dlH8dFLw3T8i5mVlb8/KngmcV5D3IGBpRISkFyto2u0RcV+1/TEzs76T9zLmhcDdEfF24Nsljv8R2LfGuqeQljFc1ZEQEe3ANcABknbqpuy8jkCXlX0I+B1wdGHGiHg8Irp62nonkoZL8gxTM7N+Iu9lzD2Bz3VxfAUwqsa69wUeiYhVRelzs58TSev6NiJpAOkJ6deWqHMucKik4RHxQo3tmg0MA16W9BvgzIh4tJKCixYt6pTW0tLCqFG1/hGZmVkl8ga71UBXE1J2Bp7u4nhXRgPLS6R3pO1QptwIYFAFZR+usj2rSfcQZwOrgDeTAv29kt4UEZ0Cb7EjjjiiU9rUqVOZNm1alU0xM7Nq5A12s4GPSbqi+EA2Q/Fk4Fc11j0EWFsivb3geLly1Fi2rIi4EbixIGlWNrK7GzgfOLW7OmbNmsX48eM3Smtpaam2KWZmVqW8we584E/APOAm0m4p/yrpncAnSDuoXFRj3WtII7RigwuOlytHjWWrEhH3SJoDHFJJ/vHjxzNhwoR6nNrMzKqQa4JKRDwMvJ10qfJLpOB2Fmm24wLgHRGxpMbql1N6KUBH2rIy5Z4hjepqKVuLJ0iXTs3MrEHlXmcXEQ8Ch0jaBhhPCqCPRURbzqpbgYMlbVU0SWVSwfFS7VkvaQGwX4nDk7K21To5pZSdgbx9NTOzHlS3HVQi4tmImBcRc+oQ6CA9UWEgcEpHgqRBpP0453RMCJE0RtLuJcq+RdJ+BWXfCLyTdLm1apI63VyT9F7SRJVf11KnmZn1jtwju54SEXMk3QRcKmkUsAj4GDAWOKkg60zSwnAVpM0gTY65VdLlpB1UPkdaCvG1wvNkC+P3yd5uDuwt6YLs/S8i4oHs93sl3Q/cBzwPvAk4kXQZc3ruDpuZWY9p2GCXOY50L/CjwDbAA8DhEXF3V4Ui4gVJk4GvAxeQRrB3AmeUGHV+kBREO+zLawvhn8zOCfBT4DDgUGAo6Z7i1cBFEbGihr6ZmVkvaehgl+2Yclb2Kpdncpn0J4GjKjjH8aQtzbrLdwEpcJqZWT9Tt3t2ZmZmjcrBzszMml5VlzEljanlJBGxtJZyZmZm9VDtPbslpF1SquUnBJiZWZ+pNtidyMbBbgDwGeANwI94bXPl3YFjSMHxG/maaPXw0OnHcfaf/wpA67zutwZtX7qEwWPG9nCrzMx6R1XBLiKuK3wv6XzSfpPji57+jaRpwD3A9vmaaPXQvnQJI19czsphlTyMHQaPGetgZ2ZNI+/Sg1OBrxcHOoCIaJN0NfBp4NKc57E6WDlsNF9577f449RJ3Wc2M2sieYPdtqQF1uUMzfKYbaR96RJaDz+w4vyDx4xl9xkze7BFZtbM8ga7PwGflXR7RPy58EC2L+VngDk5z2FNZuWw7RnXUvkjBduXLum5xpjZJiFvsPsUaRuuuZL+BDyape8K/DPpcTv/kfMc1mSuPfACTq7iUmo1I0Azs1LyPs/uL8BepBmX2wL/nr22Ba4E9soeAWRmZtZn6vE8uxXAGdnLzMys4dRtuzBJoyXtI2nLetVpZmZWD7mDnaT3S3qI9Dic+WRPEpc0UtL9ko7Iew4zM7M8cgW77MGntwArgYsoeIBqRKwE/k56sriZmVmfyTuyuxC4OyLeDny7xPE/8tqDUM3MzPpE3mC3J3BjF8dXAKNynsPMzCyXvMFuNdDVhJSdgU5biZmZmfWmvMFuNvAxSZ2WMEjaHjgZ+J+c5zAzM8slb7A7H3g9MA/4BOnxP/8q6WJgAWnCykU5z2FmZpZL3h1UHgbeTrpU+SVScDsLOI8U7N4REUtyttHMzCyXeuyg8iBwiKRtgPGkAPpYRLTlrdvMzKwecgU7SWOAFyPimYh4lnQ5s/D4EKAlIpbmOY+ZmVkeee/ZLQEel3RMmeMfABbnPIeZmVkuuS9jknZP+aGktwBnRsT6OtRpTWxx22oOuKjyxxye/+xaXr/NoB5skZk1u3oEu/OBHYHpwD6S/t3366ycah7aCikwvvKqvz+ZWT71CHZExFcl3Qf8BJgn6YPFTy43A7jh9L2ryl/NCNDMrJy6PeInImYDbwb+AfyvpOPrVbeZmVkedRnZdYiIJyW9A/gmcC3gp5SbmVmfq9vIrkNEvBIRpwInkdbdmZmZ9alcI7uIKBssI+L7kn4BDMtzDjMzs7zqehmzWEQ8jZ96YGZmfayqYCfpWtJmz6dExLrsfXciIk6qqXVmZmZ1UO3I7p3AetK9vnXZ++imTHfHzczMelRVwS4ixnb13szMrBHVfTammZlZo3GwMzOzplftBJX1VH8PLiKiR2d9mpmZdaXaIPRFPOHEzMz6mWonqEzroXaYmZn1GN+zMzOzpleXe2mSXg/sC2xNiQAaETPrcR4zM7Na5Ap2kgYDPwA+SApyASg7XHhvz8HOzMz6TN7LmNOBD5CeVj6ZFOg+BhwK3A78H7BPznOYmZnlkjfYTQG+HxGX8dqz6/4eEXdExOHAc8Anc57DzMwsl7zBbhQwN/t9TfZzy4LjPyON/MzMzPpM3mC3AtgWICJWA88Cbyw4vhUwOOc5zMzMcskb7OYAby94/0vgLEkfkfRR4AzgT7VWLmmQpMskLZO0RtIcSe+qsOyOkm6U9JykVZJ+LmnnEvlOk3STpKWSQtJ1XdT5OklXSWqT9JKk2ZLeVGv/zMysd+QNdt8AHpM0KHv/BdJ9uh+SZmk+D3w6R/3XAZ8DfgR8hvRYodskvb2rQpKGAbOBg0iTaKaSlkbcJWnbouznkB5V9CDwahd1DgBuBY4BvgWcTbqMe6ekXavtmJmZ9Z5cSw8i4h7gnoL3T0j6J2AvUmB6KCLKBpCuSNof+BBwVkRcnqXNBBYCXwHe2kXx04Fdgf0jYl5W9vas7JnAeQV5DwKWRkRIerGLOqdk5zwqIm7O6rwReAS4iBQEzcysAdV9B5WIWB8R/xcRC2sNdJkppIB5VUHd7cA1wAGSduqm7LyOQJeVfQj4HXB0UXsfj4hK9vucQrpHeUtB2TbgRuD9BaNbMzNrMPXaQWUMsDOwDa8tKt8gIm7pVKh7+wKPRMSqovSO2Z8TgSdKtGUAsDdwbYk65wKHShoeES/U0J75EbG+RJ2nALsBC7qqYNGiRZ3SWlpaGDVqVJVNMTOzauTdQWUMKagc3JFUIlsAA2uofjSwvER6R9oOZcqNAAZVUPbhGtpzdzd1dhnsjjjiiE5pU6dOZdq0aVU2xczMqpF3ZPcD4ADgy6SZmc/nbtFrhgBrS6S3FxwvV44ay/ZEezaYNWsW48eP3yitpaWlhqaYmVk18ga7fwYui4ip9WhMkTWkEVqxwQXHy5WjxrI90Z4Nxo8fz4QJE2o4tZmZ5ZF3gsqTpIXkPWE56dJhsY60ZWXKPUMagdVStifaY2ZmfSxvsLscOEnS0Ho0pkgrsJukrYrSJxUc7ySbQLIA2K/E4UnAYzVMTuk435uyCTDFda4mLUEwM7MGlHed3fckDQQelXQzaaS3rnO2+HoN1d8MfJ4007Fjnd0g4ARgTkQ8kaWNAYZmSwsKy35Z0n4RcV+W742kxeOX19CWjjqnkPb67FhnNxI4CvhlRJS6n2dmZg0g72zMPUk7iYwG/qNMtgCqDnYRMUfSTcClkkYBi0iPDxoLnFSQdSZpYXjhTNAZwMnArZIuB14h7cSyAvhaUR/ex2uPIdoc2FvSBdn7X0TEA9nvN5O2Pvu+pD2AlaTF6wNJO7SYmVmDyjtB5SrS08k/Qf1nYwIcB3wJ+ChpDd8DwOERUWoJwAYR8YKkyaQgewHpcu2dwBnZQvBCHyQF0Q77Zi9II9UHsjrXSXov8FXSFmhDgHnA8RFR7TIGMzPrRXmD3URgakRcXY/GFMt2TDkre5XLM7lM+pOkS4zdneN44PgK2/Ms8PHsZWZm/UTeCSqL69IKMzOzHpQ32E0FPtnNPpVmZmZ9Ku9lzANJj/R5WNIdpL0qS83G/EzO85iZmdUsb7D7VMHvh5fJE6Rn0ZmZmfWJvOvs6v6IIDMzs3qrOVhJGizp05IOrGeDzMzM6q3mkV1EtEu6jLTmrMt1b2Z5tS9dQuvhlX+vGjxmLLvPmNmDLTKz/iTvPbuFpB1NzHrMymHbM66l8qcytS9d0nONMbN+KW+wOx+4QdLsiLijHg0yK3btgRc4SoW3AAAbSElEQVRw8tRJ3WfMVDMCNLNNQz1mYz4D/EbSYtIi8+LnukVEvD/neczMzGqWN9jtTVpasJS0IfL4Enki5znMzMxyybv0YGyd2mFmZtZjvE7OzMyaXt7LmABIOgg4DHhDlvQ4cGtE3FWP+s3MzPLI+/DWLYAfA0eQHp76XHbodcCZkv4b+HBEvJKrlWZmZjnU46kHR5Ke/j06IkZExAhge+By4APAhTnPYWZmlkveYHcM8IOIODsiVnQkRsRTEXEOMJP0lHEzM7M+kzfYjQbmdHF8DmmUZ2Zm1mfyBrsngcldHD8oy2NmZtZn8ga7HwBHS/qupDdKGihpQPb7d4CjgOtyt9LMzCyHvEsPpgO7AKcAJwPrs/QBpNmZP8jymJmZ9Zm8O6isA46X9F/Ae9l4nd1tEfFAzvaZsbhtNQdc1NWt4deMaxnC2T3cHjPrf+qyqDwLag5sVnfVPNpncdvqHmyJmfVndQl2Zj3lhtP3rjhvpaM/M9v0VB3sJFU7gouI2Kfa85iZmdVLLSO7Z6jssT3bA2+sMK+ZmVmPqTrYRcTkro5L2h44B/gEsA74YU0tMzMzq5O63bOTtB1wLmkZwubA9cAlEfG3ep3DzMysFrmDXcFIrjDIXRwRj+Wt28zMrB5qDnZZkDuXtJh8c9LlyosjYnGd2mZmZlYXtczGHM1rQW4z0pMNLnGQMzOzRlXLyO5vwCCglbQV2GJgG0nblCsQEfNra56ZmVl+tQS7wdnPfYEbu8kr0tKDgTWcx8zMrC5qCXYn1L0VZmZmPaiWdXY/6ImGmJmZ9ZS8z7MzMzNreA52ZmbW9BzszMys6TnYmZlZ03OwMzOzpudgZ2ZmTc/BzszMmp6DnZmZNT0HOzMza3oOdmZm1vQc7MzMrOk52JmZWdNr6GAnaZCkyyQtk7RG0hxJ76qw7I6SbpT0nKRVkn4uaecyeU+S9FdJ7ZIelfQfJfJMkxQlXu15+2lmZj2rlkf89KbrgCnAFcCjwPHAbZIOjoh7yhWSNAyYDWxNesDsK8AZwF2SJkbE0wV5PwF8F/gZ8F/AO4BvSBoaEZeVqP404MWC9+tq7p2ZmfWKhg12kvYHPgScFRGXZ2kzgYXAV4C3dlH8dGBXYP+ImJeVvT0reyZwXpY2BLgEuDUipmRlr5Y0APiCpKsi4tmium+OiJX16KP1nPalS2g9/MCK8w8eM5bdZ8zswRaZWV9q5MuYU0ijpqs6EiKiHbgGOEDSTt2UndcR6LKyDwG/A44uyHcwsC0wo6j8t4EtgcNK1C1JW0lSFX2xXjR4zFgGjxlbcf72pUtoX7qkx9pjZn2vYUd2wL7AIxGxqih9bvZzIvBEcaFsVLY3cG2JOucCh0oaHhEvZOcAuK8o35+B9dnx64uOPQYMA16SNAs4MyJWVNKhRYsWdUpraWlh1KhRlRS3ClU7QqtmBGhm/VMjB7vRwPIS6R1pO5QpNwIYVEHZh7NzrIuIpwozRcTLkp4uOsezwLeAPwJrSff2PgnsL2m/EkG5kyOOOKJT2tSpU5k2bVp3Rc3MLIdGDnZDSEGlWHvB8XLlqLDsEODlMvW0F54jIq4sOv4zSXOBH5HuEX65TD0bzJo1i/Hjx2+U1tLS0l0xMzPLqZGD3RrSCK3Y4ILj5cpRYdk1wBZl6hncxTkAiIgbJH0NOIQKgt348eOZMGFCd9nMzKzOGnmCynLSZcZiHWnLypR7hjSqq6TscmCgpI1umknagjRxpdw5Cj1BunRqZmYNqpGDXSuwm6StitInFRzvJCLWAwuA/UocngQ8lk1OKayjOO9+pD+bkufokM3IHAu0dZXPzMz6ViMHu5uBgcApHQmSBgEnAHMi4oksbYyk3UuUfYuk/QrKvhF4J3BTQb7fk0aCpxWVPw1YDdxaUL7UzbXTgBbg11X1zMzMelXD3rOLiDmSbgIuzS4zLgI+RhpJnVSQdSZwEFC47m0GcDJwq6TLSTuofA5YAXyt4BxrJH0B+HZ2rt+QZlkeC5wfEc8U1Pm4pJ+SRo3twNtJi95bge/Vq9+Wz+K21Rxw0ZyK8o5rGcINp+/dwy0ys0bQsMEucxzwJeCjwDbAA8DhEXF3V4Ui4gVJk4GvAxeQRrB3AmdERFtR3hmSXiHtrPJvpHtwZwDFsy9/RNq15YOkySuPk3ZyuSQiVtfeRauXcS3lJuh2trjNH5nZpqShg122Y8pZ2atcnsll0p8EjqrwPFcDV3eT5+RK6rK+U80ordLRn5k1h0a+Z2dmZlYXDnZmZtb0HOzMzKzpOdiZmVnTc7AzM7Om52BnZmZNz8HOzMyanoOdmZk1PQc7MzNreg52ZmbW9BzszMys6TnYmZlZ03OwMzOzpudgZ2ZmTc/BzszMmp6DnZmZNb2Gfnirde2YGQ+wuG1NRXnPblvDy+vW93CL+q/2pUtoPfzAivIOHjOW3WfM7OEWmVk9Odj1Y4vb1rC4bTXjWoZWlH+LgQMY1zKkh1vV/wweM7bivO1Ll/RYO8ys5zjY9XPjWobyx6mTus3XOi8FuRtO37unm9TvVDNKq3T0Z2aNxffszMys6XlkZ5usxW2rOeCiORXlHdcyxKNis37Mwc42SdXcu1zctroHW2JmvcHBzjZJ1YzSKh39mVnj8j07MzNreg52ZmbW9BzszMys6TnYmZlZ03OwMzOzpudgZ2ZmTc/BzszMmp6DnZmZNT0vKjerUjWPAwI/EsisETjYmVWhmscBgR8JZNYoHOzMKrBh0+jtPgnbdZ+/Y+NoPxLIrDE42PVTD51+HGf/+a/Aa8+q60r70iVVj0osqfaBt9442qzxONj1U+1LlzDyxeWsHDa6ovyDx4x1sKtRtY/28cbRZo3Hwa4fWzlsNF9577cqelK5mdmmzEsPzMys6TnYmZlZ03OwMzOzpud7dmY9zIvQzfqeg51ZD+hYl3fimq0ZOWQ7aFtTNu/mmw3g9dsMArwI3aynONiZ1VnhurxrD7ygy7yL21YzrmXohhm1XoRu1jMc7MzqrJp1eV6TZ9Y7HOzMGozv8ZnVn4OdWQPxRtNmPcPBzqyPbdhkGrrdaLpjg+kOvsdnVpmGXmcnaZCkyyQtk7RG0hxJ76qw7I6SbpT0nKRVkn4uaecyeU+S9FdJ7ZIelfQfeessMgLg6aefrqTp/cZTTz3FtGnTeOqpp/q6KXXVm/0a1zKEcS1DK8q7uG01i7uY1VkJf2b9S7P2q+D/whG9dc5GH9ldB0wBrgAeBY4HbpN0cETcU66QpGHAbGBrYDrwCnAGcJekiRHxdEHeTwDfBX4G/BfwDuAbkoZGxGW11FnCNgDPPvtsVZ1vdG1tbVx00UUcddRRjBo1qq+bUze92a9qJ7NsNAoEzm5bw8gXl/Pfk97SKX/hkoYOTwx7HRf99Jf+zPqJZu1Xwf+F2/TWORs22EnaH/gQcFZEXJ6lzQQWAl8B3tpF8dOBXYH9I2JeVvb2rOyZwHlZ2hDgEuDWiJiSlb1a0gDgC5Kuiohnq6nTrKeUetTQymHbl8y79tX1rH11PYvb1m9I237VE6xa+yoAd3zo33lk6Mb1lQqOnvxizaJhgx1pRLcOuKojISLaJV0DTJe0U0Q80UXZeR1BKSv7kKTfAUfzWmA6GNgWmFFU/tvAR4DDgOurrNOsR5QeBf6yZN5jZjzQ6ZLniXdfzOqnFgOdL0KUC45r/vZIxaNGcHC0xtXIwW5f4JGIWFWUPjf7ORHoFOyyUdnewLUl6pwLHCppeES8kJ0D4L6ifH8G1mfHr6+yTrM+Vy4wPvjgg7Dnnhzyk58yYcKEDUfKBceRL/6jUy2lAiN0HRx72tLVqe2lRqz9WU/1a+Ww7bvd8ABe+ztQ7stNKY36haeRg91oYHmJ9I60HcqUGwEMqqDsw9k51kXERnd/I+JlSU8XnKOaOkvZHGDOnM4LiLfZZhu23XbbMsXK+9sLL/Hk6rWsfuoxHnxwWNXl62HRokUb/WwWzdovKN+38w8aCBT9PZry5ZJ1nP3jh3ny2bWd0j9w3/d43eqVsDrfJJpaLG9v3+hns+iJfo186R8MbVvMh546qdu8Q1/6B6uBlVtuz9rNXu02f/sTjzP4hZdY9+CDXeZbunRpx6+bd9/iOomIhnwBfwNuK5G+MxDAZ8uU2yk7fnaJYydmxyZm768BVpepZykwq9o6y9T10SyPX3755Zdfr70+2lsxpZFHdmtIo6ligwuOlytHhWXXAFuUqWdwUb5K6yzlF8BxwGrSLM5CzwLPdFHWzKzZbEEaRNzVWyds5GC3HNixRPro7OeyMuWeAdYW5Ouq7HJgoKRRhZcyJW1BmrjSka+aOjuJiOeBH5Y7bma2Cbq/N0/WyIvKW4HdJG1VlD6p4HgnEbEeWADsV+LwJOCxgokkHXUU592P9GfTWkOdZmbWYBo52N0MDARO6UiQNAg4AZjTsexA0hhJu5co+xZJ+xWUfSPwTuCmgny/J43aTisqfxrpkuOtNdRpZmYNRtkEioYk6UbgSODrwCLgY8D+wL9ExN1ZnjuBgyJCBeWGk4bIw4HLSffJPkcKnhMjoq0g7+mkdXU3A78h7aByHHB+REyvpU4zM2ssjR7sBgNfAo4lbSvzAPCFiPhNQZ47KQp2WfrrSUHyUNII9k7gjIjoNJ9c0smkXVDGkdbufQu4Mor+cKqp08zMGkhfLzFo5hdp9uZlpMkra4A5wLv6ul1VtH8y5acM/3NR3rcC95Au//4D+AYwrAH6MAy4CPg16ZJ1AMeXyftPWb4Xs7w/BFpK5BsAnA0sBtpJX8I+3Kh9I+0xW+ozfKjR+ga8hfRl80HgJdISoBuB3Zrg86qob/3p88raMIF0K+ex7N//SuBu4H2N9Jk18mzMZnAdNWxk3YC+AcwrStswmpU0Efgd8FfSpd3XA58n7SX6nl5qYzkjgQtJ/7H8HymAd5KN2u8Gnidt/TaM1Ie9JO0fES8XZL8EOBe4mvTn8n7gBkkRET/poX6UUlHfMmuBjxelPV8iX1/37RzgbaT/PB8Atgc+BcyX9M8RsRD67edVUd8y/eXzAngD6fbOD0hf7IcCHwR+IekTEXEVNMBn1tvfbjaVF+neYgCfL0gbTAoS9/Z1+yrsw+SsD1O6yXdb9pd8q4K0j2dlD+3jPgwCts9+34/yo58ZpG+lYwrSDsnyn1KQtiPwMvCtgjRl/4ifAAY2YN+uA16soL4+7xvpCsEWRWm7kr7dX9/PP69K+9ZvPq8u2jaQNJv9oYK0Pv3MGnk2Zn9XciNr0q4tB0jaqa8aVgtJwyV1uhKQLQ15F+kfa+E+pjNJlyqO7qUmlhQRayOi8waPnX0Q+FVEbNjHKCLuAB5h4z68n7TF0YyCfAF8hzSiPaAe7a5EFX0DQNLAEkt5CvV53yLi3tj4Gz4R8Sjp0t8/FST3x8+r0r4B/ePzKici1pEC0+sKkvv0M3Ow6zmVbGTdX3wfWAW0S5pduPwC2Iu0OcFGm2ln/6hbeW2z7YYlaUdgFJ03BIf0eRX2YV/S/Za/lsgHjdvfoaTP8HlJz0j6dvaMxkIN2TdJIj2/fWX2vmk+r+K+Feh3n5ekLSWNlLSLpDNItzB+lx3r88/M9+x6Tq0bWTeSl0kPtb2N9I9xD9I19v+V9NaIuJ/XdpAp19d39EZDc+quDyMkDYqIjl10VmTfNIvzQWN+rstJz4CcT/qC+27S8xn3kTQ5Ijp2+G3Uvn2EdGnrwux9M31exX2D/vt5fQ34RPb7euAW0j1JaIDPzMGu5wwh3WQu1l5wvKFFxL3AvQVJv5B0M+nm+qWkf4Qd/SjX14bvJ933oSPPWvrh5xoR/1mU9BNJj5AmAUwBOm74N1zfsg0jvg38kTQBorAd/frzKtO3/vx5XUFar7wD6bLkQF7be7jPPzNfxuw5tW5k3dAirSn8OXCwpIF0v0l2f+hntZuHN8Pn+nXSt+9DCtIaqm+StiftYvQ8aZLUuqJ29NvPq4u+ldPwn1dEPBQRd0TEzIg4nDTb8pfZpdo+/8wc7HrOcmrcOLofeIL0jW1LXru0UK6v/aGf3fXhmezySkfe7bN/wMX5oH/0l4hYQ3pk+YiC5Ibpm6StgdtJExzeHRGF5+7Xn1c3fSup0T+vMm4mrS3cjQb4zBzsek5NG1n3EzuTLim8CCwEXqVok+zsyRET6Qf9jIi/A22U3uh7fzbuQytp8kDx7Ll+9blm29+NJPW7Q0P0Lds56Zek/yQPj4i/FB7vz59Xd33rolzDfl5d6LjcuHVDfGZ9tQ6j2V/ZB1O8zm4QaXH5n/q6fRX2odTOBvuQJq78vCDtdtK3reEFaSdl/X93X/ejoE1drUX7DmkN0E4Faf+S5T+1IO31lF8D9CR9tLapXN9Il36Gl8j/lSz/kY3UN9J9np+T9p59bxf5+t3nVUnf+tvnlZ1zVIm0zYE/Z5/RsEb4zDxBpYdExBxJNwGXShrFaxtZjyUFgv7gp5LWkCapPEWajXkK6S/suQX5zs/y3CXpKtJf1jOB/4mIX/dukzuT9CnSJaOOWVzvy3ZzAPhmpOcNTgeOAmZLupJ0v+Es0qOdvt9RV0Q8KekK4CxJm5N2dziCNOv0I9H9vZe66q5vpD1l75f0Y+ChLP1fgfeStm36eUddDdK3rwH/Rhr9jJB0bOHBiLg++7U/fl6V9G17+tfnBfC97ArW3cDfsz58BNgdODMiXszy9e1n1lvfajbFF+lb2ldJ16DbSetE/rWv21VF+z9N2s/zadK30WWkvezGl8j7duAPpJvHT5H2AOz0DbWP+rGE8nt8ji3IN4H05IuXSE+Qvx7YrkR9A4D/zOpdS7qU+5FG7BspEP6QdEXhpezv4cKs/Zs3Wt9Im6uX608U5e1Xn1clfetvn1fWhg8BvyXtifsKac/L3wL/ViJvn31mDf3UAzMzs3rwBBUzM2t6DnZmZtb0HOzMzKzpOdiZmVnTc7AzM7Om52BnZmZNz8HOzMyanoOdmZk1PQc7MzNreg52ZmbW9BzszMys6TnYmZlZ03OwM9uESDpeUkga2xvlzBqFg501nYL/mEs9Fbk4T+HrKUmzJb2nTN52STuWqOtOSQuraFcU1PeIpG9J2q623pY911slTZP0unrW21MknZ/9mXT752hWCwc729RdCHwUOI70NOgW4DZJh5fIO4iNH1qb95yfIj309jTgj5KG1qHuDm8FppKej1boh8AQ4PE6niuX7GGz55GecWbWI/ykctvU3R4R93W8kXQNsAL4MPCrorytwMmSLo2IZXU65/+T9DTwOeD9wI9z1IukLSOibNCI9JTnXn2aegUuB/4EDARG9nFbrEl5ZGe2sedIT1t/tcSx6aT/kOsxuiv0++znOABJb5A0Q9LDktZIelrSTcX3y7LLlCFpD0k3SHoWuEfSNOCrWbbFBZdNx5a79yZpR0nXSFomaa2kxZK+I2mLrhqelbtW0oqs3IOSTqy045IOBKYAn+0m3+6SxlRY5y8k/VnSMZJasz/DJZLOqLRd1nw8srNN3daSRgICRgH/AQwDri+RdzEwkzS6+3LO0V2hXbKfT2c/30K6DPkT4ElgLOlS552S9oiI1UXlbwIeJV0KFHAPsBtpdHoGsDLL11bq5JJ2AOaSLnleBTwE7EgKQkOBl8uU2440IgvgW1n97wGukbRVRFzRVaclDQS+Cfy/iFggqavsfwXuAiZ3lSmzF7Bl1qZvkUbqHwf+S9IjEXFrBXVYk3Gws03dHUXv1wInRsRvy+S/hHR/7xzgMzWesyPADgbeRrqHt4bXLpveGhE3FxaQ9Evgj8AHSffdCv1fRBxTlH8+KdjNioglBeml2nMpsD0wqfCSLnChuo5Al5BGuntFREeg/q6kHwPTJH0vItZ0Uf5U4A3AIV3kqYqk4VmdL5D681CWfiPpPuVHAAe7TZAvY9qm7pPAu7LXscBs0n20D5TKHBGPkYLNKZJG13jOO0ijoCdIo7cXgSMj4u/ZOTYECEmbS9oWWES6xPqmEvV9t8Z2IGkAcATwy6JAR9aWKFNOpMD7y+ztyI4X8Btg6zJt7Si/LfBF4EsRUXLEWdQORcTkCro0gTS6/XJHoMvKt5FGhztVUIc1IY/sbFM3t2iCyo+B+4FvSfpVRJS6hHcxaTbludQ2uvsk8AjpvuAK4OGIWF/QhiHAfwInkC4nFo6uti5R3+Ia2tChBdgKqHbKfwvpsucp2auUUV2Uvxh4hnQZs572yn4Wj347vCTpJODK7P0WpD/ftdn7eyPi0Dq3yRqAg51ZgYhYL2k2KYjtCjxYIs9jkq4nje6+XMNp5pYaRRX4JinQXUG6dPk86b7YTyh9NaarS4U9paMd1wM/KJPngVKJknYlBcjPAjsUXCkdDGyeTZ5ZFRHP1NCuPYFnIuLJonMOBvYAvhkR1wDXZOlXAS9GxOdqOJf1Iw52Zp11/LsY1kWei0mXPc/pgfNPAX4QEWd2JGT/WVezQLzk5ccS2oBVpCBRjTbSfbGBEVF837M7O5KC5TeyV7HFpJFXlzM0y9iL0ksrTiAF058Vpe9NjsvA1n842JkVkLQ5cChpBuJfy+WLiL9lo7tPkCY+lFqqUKt1bHzpEtIs0YFV1NGx1q7LAJmNZGcBx0rar3jEKUml7ttFxDpJPwOOkbRnRCwsKtfSxb24hcCRJdIvBoaTRtV/K6pvd2B1RCztqj+koN0iadeIeLSjLaTLwr+JiDmFfcvylxyBWnNxsLNmdqKkd5dIv7Lg9/dk/5FCusd0DOny5ZcjYlU39V9Cunf3Rkpc7szhV8BHJT0P/AU4gDRj8ekuS23szx1tlPQT4BXSZJJSziMF+Luyy3p/BUYDRwFvJ02MKeVc4GBgjqSrs7aOIE1MOST7vZOIWAnMKk6X9NnseKdjVLD0IFsK0UIKXr+S9G3SbjGfJH1RKF7/twtpV5x6fnbWoBzsrJmdVib9uoLfv1jweztpjdlpwPe6qzwiFmWju4/V2sAyPkMa3X2EdOntD6Tg8ZtKK4iIeZK+QJre/27SZcNxZfL+XdIk4EvZObcC/g7cDhSv6Ssst0LS/qSlEx8ATicF5Afpmcu73emYnPJx0j3BL5JGyLcDZ5VYF7kP8EhErMWansrMLDYz61eykeHlwJaVBDBJFwG7RcSHe7xx1ue8zs7MmsVewGNVjNT2xvfrNhkOdmbWLPaki0lFJTjYbUJ8z87M+r1sZuUE0g44FYmIXbrPZc3C9+zMzKzp+TKmmZk1PQc7MzNreg52ZmbW9BzszMys6TnYmZlZ03OwMzOzpudgZ2ZmTc/BzszMmp6DnZmZNT0HOzMza3oOdmZm1vQc7MzMrOn9f9OELUfp2rglAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# plot the pT of the 4th particle\n", "fig, ax = plt.plot_lbn_feature(\n", " features[:, E_4], labels_valid,\n", " limits=(0, 300),\n", " xlabel=r\"LBN Particle 4: $p_{T}$\")" ] }, { "cell_type": "markdown", "metadata": { "cell_style": "split", "slideshow": { "slide_type": "slide" } }, "source": [ "### Open part\n", "\n", "- Time for questions\n" ] }, { "cell_type": "markdown", "metadata": { "cell_style": "split" }, "source": [ "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Suggestions for remaining time**\n", "\n", "Repeat the training for $p_{T}$ sorted data
\n", "e.g. LBN+DNN (low-level) vs DNN-only (high-level)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "#### Some hints" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "load data with $p_{T}$ sorted jets for both low- and high-level data" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "slideshow": { "slide_type": "-" } }, "outputs": [], "source": [ "# load data using the tut.load_lbn_data helper (for pt-sorted jets, use sorting=\"pt\")\n", "data_low = tut.load_lbn_data(\"train\", sorting=\"pt\", level=\"low\")\n", "data_high = tut.load_lbn_data(\"train\", sorting=\"pt\", level=\"high\")\n", "\n", "# extract low-level vectors\n", "vectors_low = data_train[\"features\"]\n", "\n", "# extract high-level variables\n", "features_high = data_train[\"features\"]\n", "\n", "# extract labels and apply one-hot encoding\n", "labels_low = tf.keras.utils.to_categorical(data_low_[\"labels\"], num_classes=2)\n", "labels_high = tf.keras.utils.to_categorical(data_high[\"labels\"], num_classes=2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "TODO: define the two models (see above for examples)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "# define the models here\n", "# you should name them model_lbn_low and model_dnn_high" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "train the models (assuming the names are `model_lbn_low` and `model_dnn_high`)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "fit_model(model_lbn_low, \"lbn_low_v1\", data=(vectors_low, labels_low), epochs=1)\n", "fit_model(model_dnn_high, \"dnn_high_v1\", data=(features_high, labels_high), epochs=1)\n", " \n", "# make a prediction for the first 5 validation events\n", "print(\"LBN (low-level) prediction : ...TODO\")\n", "print(\"DNN (high-level) prediction: ...TODO\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "run the prediction (we are using the training set here ...)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "pred_lbn_low = model_lbn_low.predict(vectors_low)\n", "pred_dnn_high = model_dnn_high.predict(features_high)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "draw the ROC curves" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "# plot the ROC cuves, i.e., background rejection vs signal efficiency\n", "fig, ax = plt.plot_lbn_rocs(\n", " dict(label=\"LBN+DNN\", labels=labels_low, prediction=pred_lbn_low, color=\"blue\"),\n", " dict(label=\"DNN-only\", labels=labels_high, prediction=pred_dnn_high, color=\"red\"),\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "draw the LBN weights (assuming the lbn layer is called `lbn_layer` again)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "particle_weights = np.abs(lbn_layer.particle_weights.numpy())\n", "fig, ax = plt.plot_lbn_weights(particle_weights, \"particle\", cmap=\"OrRd\", sorting=\"pt\")\n", "\n", "restframe_weights = np.abs(lbn_layer.restframe_weights.numpy())\n", "fig, ax = plt.plot_lbn_weights(restframe_weights, \"restframe\", cmap=\"YlGn\", sorting=\"pt\", hide_feynman=True)" ] } ], "metadata": { "celltoolbar": "Slideshow", "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.15+" }, "rise": { "backimage": "https://cernbox.cern.ch/index.php/s/xDYiSmbleT3rip4/download?path=%2Fintro%2Fimages&files=logo.png", "controls": false, "footer": "  3rd IML Workshop | Marcel Rieger | Physics-Inspired Feature Engineering", "scroll": true } }, "nbformat": 4, "nbformat_minor": 2 }