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Boston Bayesians 2017 - Two Years of Bayesian Bandits for E-Commerce
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{ | |
"cells": [ | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"slideshow": { | |
"slide_type": "skip" | |
} | |
}, | |
"source": [ | |
"**Title:** Two Years of Bayesian Bandits for E-Commerce\n", | |
"\n", | |
"**Abstract:** At Monetate, we've deployed Bayesian bandits (both noncontextual and contextual) to help our clients optimize their e-commerce sites since early 2016. This talk is an overview of the lessons we've learned from both the processes of deploying real-time Bayesian machine learning systems at scale and building a data product on top of these systems that is accessible to non-technical users (marketers). This talk will cover\n", | |
"\n", | |
"* the place of multi-armed bandits in the A/B testing industry,\n", | |
"* Thompson sampling and the basic theory of Bayesian bandits,\n", | |
"* Bayesian approaches for accommodating nonstationarity in bandit feedback,\n", | |
"* user experience challenges in driving adoption of these technologies by nontechnical marketers.\n", | |
"\n", | |
"We will focus primarily on noncontextual bandits and give a brief overview of these problems in the contextual setting as time permits.\n", | |
"\n", | |
"**Bio:** Austin Rochford is a Principal Data Scientist at Monetate. He is a founding member of Monetate Labs, where he does research and development for machine learning-driven marketing products. He is a recovering mathematician, a passionate Bayesian, and a PyMC3 developer." | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"slideshow": { | |
"slide_type": "skip" | |
} | |
}, | |
"source": [ | |
"A `Dockerfile` that will produce a container with the dependenceis of this notebook is available [here](https://github.com/AustinRochford/blog)." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 1, | |
"metadata": { | |
"slideshow": { | |
"slide_type": "skip" | |
} | |
}, | |
"outputs": [], | |
"source": [ | |
"%matplotlib inline" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"metadata": { | |
"slideshow": { | |
"slide_type": "skip" | |
} | |
}, | |
"outputs": [], | |
"source": [ | |
"from io import StringIO\n", | |
"from math import floor\n", | |
"from tqdm import tqdm, trange" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 3, | |
"metadata": { | |
"slideshow": { | |
"slide_type": "skip" | |
} | |
}, | |
"outputs": [], | |
"source": [ | |
"from matplotlib import pyplot as plt\n", | |
"from matplotlib.dates import DateFormatter, MonthLocator\n", | |
"from matplotlib.ticker import StrMethodFormatter\n", | |
"import numpy as np\n", | |
"import pandas as pd\n", | |
"import scipy as sp\n", | |
"import seaborn as sns" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 4, | |
"metadata": { | |
"slideshow": { | |
"slide_type": "skip" | |
} | |
}, | |
"outputs": [], | |
"source": [ | |
"SEED = 7097089 # from random.org, for reproducibiliy\n", | |
"np.random.seed(SEED)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 5, | |
"metadata": { | |
"slideshow": { | |
"slide_type": "skip" | |
} | |
}, | |
"outputs": [], | |
"source": [ | |
"sns.set()\n", | |
"C = sns.color_palette()\n", | |
"\n", | |
"pct_formatter = StrMethodFormatter('{x:.1%}')\n", | |
"\n", | |
"#configure matplotlib\n", | |
"FIGURE_WIDTH = 8\n", | |
"FIGURE_HEIGHT = 6\n", | |
"plt.rc('figure', figsize=(FIGURE_WIDTH, FIGURE_HEIGHT))\n", | |
"\n", | |
"LABELSIZE = 14\n", | |
"plt.rc('axes', labelsize=LABELSIZE)\n", | |
"plt.rc('axes', titlesize=LABELSIZE)\n", | |
"plt.rc('figure', titlesize=LABELSIZE)\n", | |
"plt.rc('legend', fontsize=LABELSIZE)\n", | |
"plt.rc('xtick', labelsize=LABELSIZE)\n", | |
"plt.rc('ytick', labelsize=LABELSIZE)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"slideshow": { | |
"slide_type": "slide" | |
} | |
}, | |
"source": [ | |
"# Two Years of Bayesian Bandits for E-Commerce\n", | |
"\n", | |
"<center><img src=\"https://www.monetate.com/assets/blog/imgs/Dynamic-Testing-HP-image-gray-blue.png\"></center>\n", | |
"\n", | |
"\n", | |
"### Boston Bayesians • Jan 22, 2018 • [@AustinRochford](https://twitter.com/AustinRochford)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"slideshow": { | |
"slide_type": "subslide" | |
} | |
}, | |
"source": [ | |
"### About Me\n", | |
"\n", | |
"<center>\n", | |
"<table>\n", | |
" <tr>\n", | |
" <td><img src='http://austinrochford.com/resources/img/face_big.png' width=300></td>\n", | |
" <td><img src='https://pbs.twimg.com/profile_images/707677581357649921/SjsmznyE_400x400.jpg' width=250></td>\n", | |
" </tr>\n", | |
"</table>\n", | |
"</center>\n", | |
"\n", | |
"#### Principal Data Scientist @ [Monetate Labs](http://www.monetate.com/) • [PyMC3](https://github.com/pymc-devs/pymc3/) developer\n", | |
"\n", | |
"#### [@AustinRochford](https://twitter.com/AustinRochford) • [austinrochford.com](http://austinrochford.com) • [github.com/AustinRochford](http://github.com/AustinRochford)\n", | |
"\n", | |
"#### [[email protected]](mailto:[email protected]) • [[email protected]](mailto:[email protected])" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"slideshow": { | |
"slide_type": "subslide" | |
} | |
}, | |
"source": [ | |
"### About Monetate\n", | |
"\n", | |
"<center><img src='http://austinrochford.com/resources/talks/img/monetate_logos.png' width=700></center>\n", | |
"\n", | |
"* Founded 2008, web optimization and personalization SaaS\n", | |
"* Observed 5B impressions and $4.1B in revenue during Cyber Week 2017" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"slideshow": { | |
"slide_type": "subslide" | |
} | |
}, | |
"source": [ | |
"#### Nontechnical marketer-focused\n", | |
"\n", | |
"<center>\n", | |
" <img 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BCDAAluwaHQ4la0pWhdvr6239fX177XQvsoFEpxKFKKO4HgkAAxiLsRd3f9/r+1zzp335Nzbm6SG0hgJrlnzx5d8x9bs2bN7EpbZUI0EYGIQEQgIhARiAhEBCICEYGvKAJVyypX5IXLQufL8atUqdIOZRzrcIfgioEjAhGBvQCBSkHj4I4NhXtBqSKJEYGIwO5EoFI+CS9M0o4yVruTyJh2aQTKUz/lCVM61fgWEYgIRAT2HgTiGLf31FWkNCKwJyCwjYQ3PYhs3rx5T6Ax0pBBgEVI5cqVbTGSrqdcgNJ+W7ZsCbxHExGICEQEvioI+Dj4VSlPLEdEICKw+xEoJeGFLWKXaPXq1WHK1Glh0aJFAYYpmj0DgerVq4fWrVqFdu3ahipVqpRJFIuVGTNmhNmzZ4cNGzaUGTZ6RgQiAhGBvQmBOnXqhOLi4tC0adO9iexIa0QgIvAlIpBleF0qCLM7ZOiwUKtWrdC2bZtQrWrVKCH8EivIs0a6u0p1M23a9NCoUcPQs0ePgmon1OWoUaPC0qVLbVKoXbu21WFUU3E04zMiEBHYWxFgfFu8eLEt5rt06RJaSQjg89feWqZId0QgIrD7EciqNDgzNGXq1FC7dq1wUK9eoaqY3Wj2DASQvjdp0iQ0aNAgDBv2aZg7b15o2aJFqYHeB/158luyZEk46KCDQr169faMAkQqIgIRgYhABSGAZLdGjRphquarRo0amYDGx78KyiImExGICHzFEDCO1gcKtsEXLVocOnfuHLZWqhxWrl4rKWIIrupA2fPZ87mlw0b/kgPF+bDI55aLH++VVRl16tYLDcX0IuGA4c1n8IMxhtmlbqOJCEQEIgJfJQQQ0CDZnTZtWlizZo0xvF+l8sWyRAQiAhWPwDYi3K1bpbOrwWSzdHdhdhlY0re/5LPnc4NUd/dn2i1tj/6gkZh8WLgbzKvpVKtOytKtxo9DHW5ceu/v8RkRiAhEBPZWBHwR7+cY/H1vLU+kOyIQEfhiECjhirL5lc1MZYNFy5eAQCWT2MLQll6GfAmkxCwjAhGBiEBEICIQEYgI7CUI5GF4E8pdqujlyLcxnnZL2/PFif6OSskzjUna7iHSbok944LoPZqIQEQgIhARiAhEBCICEYFyIbCNSoPH8m2iEhXQrdLfhdGC6XKGy92I5fbov7vwAWUzJZXiLvEZEYgIRAQiAhGBiEBEICJQAIGCEl7Cb8NXOZ8L05u1p1LOukX/3YEPSwn+ookIRAQiAhGBiEBEICIQESg/AoUlvJZGDnuVfs3as5bS3FjWOWuJ/ikoSjjXlGPKmte//PUaQ0YEIgIRgYhARCAiEBGICGQQyCvhNcmuMV9ZkW0meF6OLAXmnutPmVxNIyE4TasXIe2Wtu8h/pCUjywnLz4jAhGBiEBEICIQEYgIRAS2QaCAhFdclfG6rpereDBazv+63Z8km8+ezy0ddmf8iYOBlpz4nOXKqmGk/LFyTVflyrpuTXcNEyYbFk9MTlr50v/Sy29EUifR5EOABU3uFWz53PLFjW4RAUegotpMRaXjdO3Mc0+gYWfojnEiAhGBiEBFI5BXwmuZiHlI84Awe84b4m/2HIec120ibM+fDLfqyq1s+p5PxiGJr0BYMlxfNs2sJfGw16xbCKvXrLaPNWzRPcNZpijl/0WULye7HccHHKIpiEC2XlMh8rmlvHfYCgPB386YXYm7M/nFODuOwI4yiITfsqV0e/D2UdFtb0dKsyfQsCP0xrARgYhARGB3I1BAwpvJVuN4eigvZU+/lATP0puPJ0hH2dY/kc5Vr15DUtgtJoklsXQ44leuXAVXMYvcSbslw3wkrCT+lfSFOL+1C+a5WrVq9ine/m++GRo2bBiuuPyyUKV6lcwklWZBc8qaJlbpYtJOaboS393v7/ns9qcKWpYc+cucyMsq+xZVCl+jS5uKnPhJy8uetqfzK2RPh0/bCc87xtO2l6/5j2PiMJSFzY6E9fQKPcnH0ysrT+ITjjA5TS5bj3ZftvmXbpOF8t6eu9OVL1wurf6e+xGafHGjW0QgIhAR+DogkJfhZfpNpuDktwQIBu5ctxLfRGS5c/4M0Bs3bQqfz5gRZs6cGerqE7q9DjwgbJIKgk0X8mfAHzNmTJg7d26oVbt2OKBnT31qt07YvGmzZV21SpUwf/6CMGLkiFC1StXQU/4tW7UMc+fNDe9++GE4uW9fpZHQy0Mppok3l91VviSjXcMPap3+HMIr9lVk7k0ftmBS/+jjT8KChYvCmWecrkVO0qynTJ0aBgz8OJxy0omhefN9swzKzoDlzM0mtVHsLKSSNrT91Dzuxo2Kq3/Vias0nCnx5/ZT+nqEMFxzucgCRU/j6EHyublfWU/GnxEjRgTazQE9eoYuXfSJ9VQ95cal3hYuWhQ2bNgQWjRvnv264YKFC5XOyLB8xYrwjdNPCzVr1iwzndx0C72X1U6gE+Nh5miM/PSz4UbT8cceY5/eLasshfKM7hGBiEBE4KuCQF6G1/nA9ISe2Evkfs66GTMqNHbFn7G6Evq1mnAefezxMFDMy2knnxT2269DqLPPPibtRQd33dp14fkXXggTJk+2SeYPv/vP0KV+l7Bp6yYb6GF8hg8fHm657fZw9OGHhh49exhh1atXD00bNw5VqybFtblBPyhPGGOXKQQMMOXAePmyDm7JhvUyJ+F3pfykUJ74TkKS4+77Xbt2bZg3f74maUnUnfFQuZkwq0jCDvMIpvi79+6jpnDKPoGjl/3SK6+GdevXh2+ccVo2wtix48KVP/p1mDrsSHPz8NkA5bR4vI0bN4YnnnxKbW9juPTiC8vFRHjcNWvWhGeffyGsW7c+XHTh+aFunTpZJmj58uVhvZimpk2bWrsrJ1lfyWCO1+rVq7VQnWcMW9Wq1UKb1q2yzJwX3MMu1EIH5pK2WL9e/dCkSeMsth62rKens07t/oGHHwnjJ08Nv//NrwpG8fAwu3/7+13h85mzwk++f1M48ICeFmfc+PHh//3PzaFPrwPCaaecXDCdHfHYsmWz8Jiv9rMuYazV96pXrxbq169v7TD9mV2YXhjun/zmP8OVF54bjjkqaf87kl8MGxGICEQEvmoI5Gd4KSUcWNrwnmH2ss5pt7TdA6Td0vY8/jCrSEIO69M7IJ2YOWtWWLZ0mSawegHJWLVqVeQ2Myxdtiy0btkyLFu2PEycNCl0aN/BmGUGeRiSqdOmhmZibg856KDQTAzEpk0bLTckxag42GQl5rpqZRVdcXjfkjnIli2faIX1rSQmu0oVVCQIB8PnqhYCAizSZUrb85SvVNid9bdEjDhPoUKfPpHDaNx2x9/DGjEAa7XI8G1R8GWC/f1vfxOa77uv8i4ptMetUIJSiZE+xiVYKS9cQ716dUO1tdWyVYg/TPlRB+1fIE7pFMrzhiRv6KfDA8zYuWd/yxiN3HiFcCDusOEjwvLlK8LZ3zzTGF7KsmTp0vCnW/4SunXdP1xx2bctOWt7pUqS5FIo7VwayvO+K2mVXRf5aS1PnDTd0z//PPzuf/4UmjVpYvX4sx/9MLRs2SLpv5l+C34scp565tnwmRi81VpUXHzBeeGsb5yhlqn+m4Oh00A++doRbo2k9tSiWVMtjlGdos8n7Q57bhwWhjNmzg6Tp04PK8Rwu6lerXoobtNKdbyPO23z9HRz08wNSDjCUM5nnn0uDB85OuyzT23rm9W0gEcgUNSuXTju2KNDt27dsgvU6jWqh/07FIdaNWtBuCXrefJSVr7lCVfS8xOKyxMnCVmCaVk0eNj4jAhEBCICFYVAYYY3k0PJcJ+wN56xu/sT93z2fG7psOav8XirDn5UrVk9dOzY0RisZZJ6oYrQuk3rZLxWmKnaasSdSYkJaeyYseH4444zRrmydHcXL1lqjHJ9MT+tW7e2gT47X2UmDra7Ydxmz54d1q5ZG5o0bRKaNG4i2sUMpwhDGowkb8nyJUp3cagjiVzjRo1DzVo1xSBndIehmzgZk8+ez43g7u7PtFvanuuffifc7jBgtkpMXSdJ2Pv0PiTLNqAjy1Y+WLjxic4mL8XzQ4G5k1k6XNru6eR7ejj8PD138/ckHgeHtthfOh3Crlddl2Wy6VFK/U8b/PjzvPYRc/Hr//Nz5bNZ+uANLCh+ngYOHtbd/L1BgwbhP37+U6OxMe0tky67GouWLNHCbJOwg0nLmKxFbSVDB7scGMpKup52JkaWDtxz8yeMu2H3uO7m7/gVMrlhc9/T8Ty9fGFwc/90nLSdhcEmLXS5WWWGFr+jx47JMLzQnpSFNOZpcfbx4MGhofAFxzVqt5g0s1uIBgtHYilD3SY3uSQ9jTycVqfb39u2aRP+7y9/Ycxn504ds6kQbqPUrKinXLMjtJSKK3I2K71169eZBBuJN7sCc+fOCx9+9HF4+/0Pws9/9INw5BGHWzTGU1Q06I+ep7cfAnhZ0nl4OC+fh+OZdrN3fmQKxckNny9svriWaPyJCEQEIgK7AYECDC/ykWTA94flnXEqRUfaLW33QGm3tD2PP5LW+pq4OhQXhQmTJoeJEydqm/AAMVnVw3JJdKdMmSrd3Cph/86dw7Tp08OsOXPCLG0ndurcSZKNymHGjM/D/AWLQltNBkVFRcZEmBqD5auJTZMX+nnvvPNuGDV6jBjlGiY9+uZZZ4ZD+xxqExTlRv8XCfObb74Vxo4bF1auWm1h27RqFU44oW/o0b27kqqcMHclLIpGfy9U6pl2S9s9SNotbc/n7267+YkaA8xG++Li0FcLinwmd8L0d+oB4+8e1yfAXPfcdw/P0+Ngd+YhPWnjvismN+/0u9udBn/fd99mpbJ0d3eEcaXNeTx357lvs5K4nOwnTK1atUINHdSspu3prPqIwnq6/kyn5xi4H2mn7bynw+fzL4tOwuczniaSVNjE2tKj355Jx6EOUeXALZdeT8fDr1y1KtSQlFIlkZSyZhgj9ZSjjzwyq0biGKC2QlmMHi1GoQ2GlS1+8Z0yJcw1ea5SuuwksXAz3ySQ2f0nl7aVK1eGfUR3un48LGpXbiif0+Vu6Wc6XWhGaouE1suc9k/Hcztj3xrtuBzc68Bwzre+aWVEneOpZ58NnwweEl7p18/UKliYUW4zeri6A+oQMMn16tbdpg7SeYMfKjjUr8dN+zs9PJ12yg5OtGd2VvIZD8sOCfh7uEJp50sjukUEIgIRgZ1FoADDm0mOMZOZxEzyAkOYOGnSMrsH2EV/JYPqQqOGjULnTp1t644DbExgTZrUtivFRowcJSasKJwi/V70ISdOmSIVhmk6XCI93s2bwhwxwOhDtj/mKEkh6yaSMNEOnbU0GaKX+pe/3hb20aDcrm0bO3CCxPj5F14MRUVFYkj2tQF89pzZ4Z577w3TP58R9uvQIfQS071g4QIxv+PDyNGjw43XXyfJZx+T9CbY8LuL5S9X/Ew2FrYk54q2URIwYxLjj4nKJ6W0nXynTp2m7eThpl8IruB48MEH2aTqcXh+/MknYf36DZLIH6u6XBIGfvSRTaanSscxYU5KGBMvD6oV4ydMNCne4sWLjZmAaeylCR9mfFeM08bC5p133wsH9eqlhUw3KyfpUk4WWJ9IeoiUu+N++xkj9ebbb9shSdqgM7aoK3ymw07j1D5QUagvhqKZ6OwqNQXoJK31Ym4++HCA7S4cp0NEMBPDFWfwkKEmxZw8eUp4WowLiy0wQiLsNM5Wux4+fIS2z2caVu3atjUMUNnBeLhRapufq81CGwwV+a1cuUrvJ+oQaF3Te98enZZggZ/xEyaI5pEBeihTK6kYsCDt3KmTNX8bD+RO3Q4eOszUPtiNeU/Sx0kq30apF7FoPEmHCJtI7cjp9uz8nSfME4tKGKgqkmwPHvZZ+OaZ8wxPDwdTNkj4UbZGjRqGxcJ+lRan1AfxUEGCAYXJGzJ0qBbQk9SPF0otp550gluHww89LDRu3CjbxqED/pf2yFgEkz1I9b8U1SrFOfyww0z1xPOHKX9ZuuMwcMcec3TopN2pQoY40ML49JH6wiQt6JcoXcah7t26Wvsr1A88TdJwptqZRfTpOZSGSgdScSS+MOGUg7C00VVqA8OGDdMhthFhrZhe+lDf449V3m2tDkif+gTzQWKcGVPZLWvSpHEoLmonNbM+tqvjeSNV79e/v6TqDaUzf7oJJj7+ZJDG08WhtnA/7LA+offBB1uajhV5jNaO3Gc6YzF12nTVWZ2wX/v2oY9U2FCPSocjbDQRgYhARKCiESib4U3llrBz8L/O6KY8Zd1Vf9IVexUqS2e2tSS0DRrUD0gvZs2abaoE0yXRnSOGlUMgqDm00V/VIVXCZDG9TDgbNm4w5ov43bp2zUxaG7OsoU18GuxPkYT2ZCZcDeYffDgwPP7Ek8aELFiwILRs0dIYkw/FKEybPiMcoYH7sksvNV3g9dpK5GDUiy+/Gl5/o38oLm5vaXBDBJPFrpa/PPGzhRFWu9swATEBu8SKMrpx+4cDBoa/33OfmNs64aADDwxzdUPGk8+/aAcGr77yCju5ThzSGjLsU93AMTO0b18cHvrno+Ghp18IN1x+kdUF+bjxiQ9p1CM6wPj2+wNCn4MO1KTYzCbUF17tFzqrfn6q7Vt0F3fWeD5Is/779r+Hn173XWNmKC9+GJjdH/zuT2Hwa8/ZO2H7v/WOLcJOOvEEcyMs7eGuBx4KPfffP3ToUBTmq90+8dwL4ZwzzwjXfvc7SVsUA/qOGD90PQ8//DBjeOfpENJQnaSvIYnYMjErnw0fKUZ1szEBMLzgzE7Enf+4OywX03KUDmLCsNytvIrEKN1w7ffEiMPcJIsFGPR//uvfoqF9oG7+eMfd4Vsn95V+5zFiMEJ47fU3wj0PPhx65KHzumu+uw2DYgXM/Lz/wYfhAdXbDKkCtROzCPPzUr/+oUi6qldfcZkORh2VDAIKzy7KX+55MOwjpp6bM5566dXQvGnj0Fhlem/AR2GFGMXvXnWl4eK0p/NCtYM+jQT0wB49dCBteRg9foIY0LHZBQThyWeSynxAj+6Gw9jxE61uNmzcaAwvdYkO+mP/+ld4VXW0WipM7dVm5qmvIyn9ZNCQcM3VV4V27dpms4eeOtKRZWEzRnnOnDNPZwKkQqU2+sHAj8IPb7pBEtZeFh7G+j3hMnHqNDGt3UIozO9aP2KMuf+hh8Prb78Xjjy0d2jVokV4+70PwtMvvBSu+85VdqODtz/vY1nCcixp3DwszypVk75ki/waNXTmYWm474EHw+vvvGd476txj77FouUHKgvSXswSqYPc++BD4UPdakI6rbWYobwsOvoeOzJcdfnltjggLIz+S6++HvZt0kT4rg3PSGAwc8780Kp5M7uBZOhnn5n6zv4SRLhhUXnXffdbGznu6CNN2PDXu+4JfcT8/+DGG7R4apltxx4nPiMCEYGIQEUikJ/hZb7XH4Nm2qTf3e5PwuWz53NLh037w/QiWWmvlX8LSSHGSwoyR9JWJGUjRo7UAZbGoa0merYkOeTzar/Xw1hNgst0kI0JYJwkUBxoa9G8hU0wuJkRr7ZGkx2qEOeec7bi1zJ9uE6STHHYCakcjAaMFwP/pMmTrOQni6lpJkZr9eo1oWaNmuGEvsfbVT+zNOl//vl0SfF0KE7/3KTL4nZ/EiafPZ9bOmza391z3XCvWLNV5a0RKCeSMSZA7kYGd6RR4DR9+ufhtjvvkpSsd7jyssuM+UeqeNIJx4c/3PwX06n87tVX2bYl9YCO5TgxEH/7+z+0gGgS3nz2XyYFNZUTEZ+etClLDeXP4aMLzz8vNNXEisQOg1T0h7/4VRg5ctQuMbyeH7reP7/+Gk3uH0uC+A2TNuFHO4Dh/cOPbzBJGHnj3liSxH1qJ7TgtlASw+defDmcK+b2CuHAyXmY0ssvvdjamOfDEwzwh6nBnKjFF237jzq01ksn/C+9+GJrx5Qdwy0ADzz8Tzso+CvpDiORg9E8/dRTwq233xEeefzx8PMf/0htuJ6FB6OGOlR4z30PhNra1n7xsYdMCttY0lQWj8+/9Iox4duj0xLTjzNVU8XQPfbEv5X35vDT798QDtXuBn5I7Z8WY/+omOzWkty61J2+clzvg8JHgwZLPak4PHbP30Nd9bN+YrgHDRkWxqsdcOgU6Wo+w+FSdnY4NNlBB6/ou1Wr9AvDdGDw+GOPk7QxOQzGjssUSbRvvO4aU2mCQUbqu1GMqJsBAweG51TubrpijJs10LvlRoeXX3ktvCHVpmd168t111yjBQgS4WThAMa0/QvO+ZZUnXob8/3CSy9rd2dseK3fG6Gjdn3AnDpFstxO+flVeJ5v7pNDs6/3fzP0f/f9cN3VV4Qz1bZR7zhFN85QX/98/InQbf8uKm+H3KjbvLMgID2YcHaoBkiHF4ySsa95Njy7WrNmzxXODcOf//Cf0oFuqTobJGb+nTBK0tZFal8wvCzk+mlB8O4HA8SI9wkXnHeu9bl58+eFZ1S/b7//ofWLiy+8wPo+7bedhBLgzULi8osvsh0HdiCe1YJ3uha2EzV2w/CC0WQtTCjfvtqRuOn6a0MXjcMsSroL03se+qctGK8UQ80BYa+DbCGiJSIQEYgIVBAC+RnefInDO5YI+ZIQabe03eOn3dL2Qv5yZxuynu7gbSPGdtzESXbn7qRJk+zmBgZ0JoQNGzaJwWpqk+kYXQE0ZeoUMRFiVrVFeIQGbKRjbJ+W0JtsyXP/6YaNmzVZSAdRh2EY6DkUg+EXNw6FsOXeRBNZbalFrNM2fHL4Y630LGsYkzte9CCpg0HPmvKULxXc4qXjpO2eaNoN+xdkmHRgbj/TNvqrb7xlua7QVnFx21bh7jtuN8YNZpCJ76wzzjBmlzgwr70POSRceO7Z4f5HHgtnnH5adtuUiQ8J8InaSr36ist10rzwCXYvZlpChBsSNVQBGmubHGZoVwz0GM1iGvYXo/HYU8+aOkBy+0SwreERYyeE8885x8rledFmWBylq4MFAFKzlatWiiFuZDqnMNIY8nBDXA6puQGvumpjhGGLmtP3GI8zWtLdoSNGhdv+9Ics0w3mMAwXXXBe+O8/3xrGjBunRcehnmRYICamg6ToSFDT+sZWVkn/ykNnNrGMZeSoUeFz7bSccfKJ4dSTT87qv5522qlhqnZe3nj7XVuAOMPLggz1gpOOPy58R5J+dmswh2pr/GNtmbsEtyDDKzzQta0lHXv09zt3bhPatWlteXEzy0G9DjRmbdinn4Uu+7XX4cqOpvJEP12zVgyvFs0YFh4DpF7BQoDFay/tQmBYAHxTCxQWyAM/GWwLK1SXwIgxgLb+7YsusAWQRdAPB1XHazyaKAaVBTIML+GpU/LzOvPw/nT3Bdqd+lgLABhFVCNgdlkgoiqDyswoMe9jNZYxvnnb5Jk2pMXND+NU548IH8qH2tVM1Q1l9zt/iYO+MQxpkRZJN1z3PVuQmLvaz9uSttKXODOBmS/JMzrACBlOP/VktS+pqMhQPxzwHSe1IuoNfX6/KYP8SP+6714djjriCAvPomeoVFlGjh2XTRuPUWo/7AxcqUUgah+Ug10Nxor3Bww0VYdFixeV0nG3BONPRCAiEBGoQATyMrwlU7RySr+k7U5E2i1t3xl/xUG6AiPQvVt3G5hnzZ4jHct3bRvtSG0Fcy0W+pCNdGNC165dtO04PgzWYAzDwFZku3ZF9jEKGCJjSKFJf8wdnHJmgmLbj8NVTLycZs5OK4TTP5gKdIKZkCyuuUr6LDfoq6K42ckoXea0fWfKv534u1+ymxBN2ZCUHX7YocYoMHmCFTjVRjouDLk2qlhbwentYLABO9QWkAijd4tUkvSIg+oDDDLMLmFx5y/XMCG6O1uvo0aNNh3QeQvmm7SdK+p8ss6NuzPv3bTF37NrZ93//LEm4YOtDIOGDAldO3awnYR8afpih7tzvyXm6TZtzw6VjuSxRx1het+dOu6n+4pLpG350sBts9oUJn2a3hz0s0j4NZLuqDPPYIYB405ilLgJYLH0Jt2A2QIt1rj2DGY3Hd7olFSxEJ2Ot6fldQAzh6SZ+mRhwGEjTxemhZ2W1/q/ZWFgjuwwmNoxzBCSefqrp4UUFek1baEsQ3h2VbhSC8kpH3Xoqrz7KR8OkcLwons9QP3+ajFRTbVjsEJqD9U1bqC2YItdZYCUfqkkySxeaZMY6/9aoIAH6iDTxDAipYfh5RpCGw+EI3liGAMYj/aVriy6rxMnT7G+YZ478IOKBosR1BiefPppY/gYj8ALtS1uhJk0eWo2v3xJ0/+hZZ4WjuMnTrZDfRx6O0wM84l9jw/dpYOeNSrDWt35DDYswtygI47+7Byp0whmM3ysZ/mKlZLiNs3qIbOo4yacVmJiuREC1RE+z+6GNsAuUEvtpmGoM9zQpyYu4wUGxnrBgoV2VSR63Lfdcae50+sJh370GjHu87UgSB/qtEDxJyIQEYgIVCAC2zC8CfvB0KoBizEry48kL6WcSgWoIH8NlEzoSBI48LJU0hSkqTBgPaXPhyR346b1oXqV6mKm2oUGmlD58hoDLFvlqDwkX2dLdI2hqpShPHLcWinjk2K4bBDXNmBTqU6gD7hIzERRUZHRU1UTL5IdJge2VNmehknBpEue2M0565O8pUPtrH8mSY++256VbMsRhqWD1EtyDYwNW86cok/r3zrTBCPUQFvYy5cld5PizoTIaXskxxjcPHw6fWeOqAv0/h7RdjkLmT69Dw4HHtgzbJDE/T5tg1akYUeg98GHSJ/yPZMc7rNPHd23+5ncDtLCqoRZSOcp8s1QBg7esV3MgZxPBg8Njz75TOjUvihcetGF4eijjkwCZppbOg3sCQZJYrl4wCTRvp25TvvTR+qpHSKxTZvNWsDBBLkhnGNaNp1HiRaPVfLcsGF9ZpFRtVTdeQikpzBhMKgcDoOBo6i2oOSKL/2x9Y6BDv62Z9juRjcUCS83WGD6aCHy5jvv2UEyDp+OHjMm1Jd03HcBKCf9kkNrzlCDHwwXi2E/5EU4DO2WA1YUmoN9GC8+T1vs6unhKRT33hqW2ZDEKp8BGxg88qUP0BcMDyW8v9QtWCDtq8Nb6TrOTRl9WlQXDj3kELt+jAUE7aOBxkl2rzBGX6YiSYt+5HiYv/LjhpC0WbturQkRuD+4BKeSNsmuCgdOwTJtyMtxcrp9YSxCLCjlpm3APNdUPZBWFmdJ00/se5zR5ypL6fSjPSIQEYgIVCQC2zC86aEwbSdTH6hwx747/JncGUQb6ARwd0mP/KJ1tstMYmZEJLq+bP81l9QFRpSBnYMPbaSjZwN8ikDGfyYatisxTj92BmomNfzIl+3Orl276t7P8eFtHVxBR691q9amJ8w7V6F1lnQNPWOkXg5KOk23VzQ+TjvP3W3ABTzAEnyY3DCGlSZebtOYLj1mtlXZnnV/4sEMz9diAR1njPsx0VJP5TGosfyXdIGvvvSicJZ0a53xRF/7Pum15mJbnjRzw0ArtPE8tM8hOnj2sB2E4p7hMRMmhZuuu9b8oDnL+OQmoneYvIMP6mWfwv7WN88ydYgXX345/EO6mS0k0bODZWVSrEWeMMVAD3/kBzMzWyfiXWLpOEIvEsGlOugGrWmDn7XLlCNumLLoZIGZ3dZXeI+DNJ4DnjA8SOpyzcIFi8yviba/ndEmO1swq3MkOZfEyn0v8SmxrdZ2PRJiYwxhSmVQl+jYoViHreaGAdoGHyV92q6dO5rkF/8qYkbJnwODzoSxYGOxNE80ojOM/i7tGQYdRowDdRhX/TB8MwR6+b3uUXXisFtDqWfAtO2oAcfaWkzDNF50/vn2tUIkvH7Vmefn6ea+4w6u4AK9/lU3D59uG+5W0uRyUM95RbDA7ssySckZS1uqzXq50YfmZosG2mnIW+5M27I8U3ann/bZrFkTSZQXhPN0ldrZ+sNAL33Yy2+O+vF4/h6fEYGIQESgohBIZtlUatmxUKNRYmdYStiLkt9ksEqiVbC/MuXmA7bGioqK9AGEVZrEFupAx/7G9CBdZJDkYAsDMMwE23ErVq40fbiqSJiQYCTEGolMciskxdkoJiFxT/w15ppkg21Q4vAPxuPYY44JPbU9OEwSu7/fdXe46+5/hNtu/1vor3t5mcK/qS1jGHLfjvbMkiz53T34JLQnqH9RvwmDmzBAzvQhremii/bHaVt1jA6/YPDjj4kSFYQ2YqAaarFQYjItK/MocS+xgZxPeNzD3FIT+zHHHJ1ldgnJ51WRcuVOlCWp7JyNxVLfow63Q4kDdQiotz4Ly3ZuIZPUdbJli0QSQ/m5bovrzS664HxtYS+2q/AKpYE76bAYg4HFUH7HAGaZAOjyYhxj7J8O/yw0lBQdyXJpAwNf2oU3+k3ZdC7YJpIzUS1aNDeGaJhO3/MVRKeRK7A4kQ+zlKaDPpKHhG3SL+RAf+QTzGyZu14zKghcDwij+u4HH4aZUnU6RBJ4VCYw1apWs/EAmpHsYmC2UAdhbBg6bJgxwjC7GK6QY4u9bauW9uEZc9QPV6CRBlhjCI+0eeBHn5gkeD+pRtTP6CTvSBlZFMJwwzyOGDXS0iYvx5IbO6ZOm2Z5m2e+H7UFwjOewSxjjHEUvZ5OqWjbIzDjj946V9yxo8WhNgzlpm2ix8+uVscO7bNYby9ZSyATiEdTnbdg4fHpCNKan3irHPRh2iWfYl4tyTzG25y9xJ+IQEQgIlCBCGwj4SVtBrrkTwOpT104MHrxxLg9M7CZu7vtin8mLmoJxcXFdlcjE1jnzp3s0BiTDwfN2Dpji/EgSdaG6Wonsu7Ro5u2T/lC2gbTx1MgG0Br6NR4B90n6ZMjtG5VBAZc1BfYgodRplBs4SJNvOmG68Nbkuh+qgGfGwmQNh0hHeJTTzlJtwMUhbWSeGWxgeYvAB+HnuyswGap+B+wBFuf9NM5MCExuXJ/Zjed9n7okUdNctix435hneqGa5oef/q58PMf3mSSIuISnjojzVKYpRMmXOodZmepTqBz7yv1Qb1zeOp16XFSX+hbpk0VqbrAOKYNUvtaSiedbtofO7RRJpgj6vffTz2jqtyqw2pnq70kB5MIkxhd+5TJhwUXBqaPi/+5lou7XdGP5PPXn4hxQCq2b0bKTViuzLOdBl4yhrIgiRyhsn2iQ01ctcZX3NB17dmjezjtpL7h3oceDnwqluuwYHS4OeP+hx813WHf0ic56GSrXBZPPiupg1HlE7zloTMbOWPpoy30PgcPsQNe997/oOl2CzQ7hDV85KhwzJFH2MErjwfulMsPhGbdRReMFH9lVQp1jQ49C1qXKlI2bgiB2U1uuqhkurzeRpFew1Ti5wwvblxjOHjop+GNt96xw2WoDqBbzhVxC6Xje9O112hhU7JoYDHFB2m4gQIdYNrCZDHGHG6j/rghA8k7BpqoT/SMS9pI4l5dblbXmbpoojo+5aQTwq133KV6eM4OxhYXFdlYtWTpkvDCy6+FA3t217VnN1pa3s8cO57kj+oCZU73o3TeHp6xjbC01zTWtAzGSHDyeKj0nKn7dH//pz+HV1573dTHaMvcuvDOe+8LgWDjHpJgDH2POmRxmymeufMDbag6+Y4Fbn169w69Pv4kDFNfvk9Xnx2hQ3s1JblfpYUIhxBffO2NcOettyT3ORMhmohARCAisBsQyMvwlkyXuTlq6MPTOK9S7FcmYAX4KyUGYlb+qCz85le/TNKW5HWddM18EoUMti477tcx3Pw/f7Aw6LhxejgZyMWYaeKF+T326KPsdgCYhfUbkxPVW8VQN9QA/suf/8zibpBUeZPyZFJh25Avvl1w/nmBr7DBwLBdalu2yoMDcdwm4RNGQiC/FVD+7eGbgF+S5W6wIUEaP2VaOFqqCbmGMjMZcxDmRp3+5h7j//jt73Qfa2v7HDH3m/74xuvsyq10XE7dT9WHRLjaqizjE/3Bkt4d3vtgu3OWK5O4u5UDP+dIZeBF3YcM05I2i3RYa5UO1RDfDVLCD/q/ZhIxdyvryQEspKB8jpgdhW3NVh0kS/JxvxpijhYuXBT+60+36IMTdUJ9nd7ncBId5dqrryylA71El/mvWLnCFmvEZ9HGTgZ6vn+98x/h5ltvs/zvvPXPobioyG4X+PYlFxtz8adbbw9tJGlFXWGBGLGzdVCOK/Zgtnz7mXY74M1+tkPi9Hkb5aowtvDLQ2c6LnhC45WXf9t0ZN/StVqviXkE5hbaqj5Dp/rP1TY1CwavuzXS2Xz9pX7hTN3ikDb016k6JFZPYXPVLtLh+DjDoOGjwunqn/RpN3x2vIna3VsfDNSNEX1Nhcn9YMDo6+8OHR4uUTnd8FGMH//gxvAs16c9+bQtGKCje5dO4abvfdcOe3lY0uBDC0uk/vDKG2+GB5942oa7ZlLXOPTgXroF4VT7QISHp/44QDZ24hTlnUjo8YOOz3TDB/cQl7TGoNsMjjQ/7vK+7R/3WXtBJYj2dsaJx9tixOvLn54XjDcflug/dIQOfp4mZ1Ku5N7bPGkLL348LByg3Qbb8cqEYAycIzWZVwd9Fv6ofu4GaflPhNNzulP37/c/ZGMb7aqPdjqoe5hWN4wPM3TQDqEEeslZIzxWiont//IL4YpLLjRn0mABd/WVl4cGurLsLS00Xn3zHdM/n7twcejSoTh85/JLTZUsm060RAQiAhGB3YBAJU1SGBvgGMje14BU3GG/0EQHwPi8bO7AuxtoyJskwznMLQcpkCLAiDBJpod46ObuRj9owUTDgJ6WfpBOtaqJ9I/w6YmJsiEFIn0Y5XT6HEhjAkQqiaQGiR6n4jdu1MENTcJpOvIWYDc4Qj/0jtWBnZo1q9shPq87snP7SN1ZjOnZs2fWzRy28+Px0cGdK11JmBj0BfO1AQ+7StJ3Dg2y7ckhGr5W11ISM/DxMDyRhK7VlVGoCSAtL2u69ngwPnxCmoOLfNWpqLjIpGuzdEIfKRNqCBgm1ZmSRsGAcCuES/24XQDGmK1kJIWerkXK80M6EyfqDmbVPXc0U+9pUygfJIrkBUOLjjGSML60hl6sGxgDvuBHOwID6tHpgQGjTDBP3ECCfia7EeRHWTiYxlfn+MIVhzZb6MYAVAhon6SBoY64V5WbHXLL6/lsj04P5zT7091hzqCBrW/yQ7cXvXqk8R6GOGzP87EIGGVuO/D2AzPEFVhIH5tr8cKhMcin/2E8DeqbstRQO0F33+uTMEgdl4OxbmlBMutxwJB2CI1gl3viH91UbmNYogULdDUSE4uuKsbTwM4BNtodOz20bYjj6jikujBuGA/Px25mZxg/tu39+rWE/sXaNapqUn+vJ8eBbX3oAUd2BJCwNlZ5sBcyjM1I6ZF+cyUa5fP08sWhHVBW7uJFNQYaMLQl0gEv+g+6xV4e/Pk4BnQtW77MBAKo6KBOgvFw3NZAHdOJub3CdbfxJ20Wtw3qN7CxAzcMtEI77YevuJkustJljEFlBuPp20sZPx4uma/et3EOCbq7lxE1ekUEIgJfYwQKM7waQBgUs7PRlwISKgnKWD82uPvMWIoWhUFnVwaJrn7Nnv5hIPTBMHeS8K3pfOkTxwggSbJQ/rnx0/nsdrvoQfVi3G5ieKHfcSpPWcoKW5bfrqRd3nRzw+W+l4eGigizvXwL+bu7P/PRkvZL2wm7zbsacHohmJtebvgd8d9e3Hz05Kbv7+VJy8OW91lWmmX55aZPWEyhMaAi/AulnUvLzrznK6u7lUV72s/Dp/MHlnxDczps2p6O6/bt+Xs4nh42MrxpVKI9IhAR2B4CeVUaiISOq/F42RT8LRn0E8bS3SyGfpwz5N3tPDEedkfiS8qrkXSrjaYez58l6SeMbuH0mUSSAXlbWpAeJSl6uv5M4rClai52jdm28ZNy7mz5SDlfmqRXUj7eEvwS2+78BSsmFJ9UypqAc8MalYqL/l5uvPKm6WXztHnPtSP5xC2dB24YlwZ6nPKUwyJmfgiPSaed8bJHbj445pbN36ElnU6+uCV0kmdJTh6vxD+z6Mvkh7uHIVZuuLSf+as9OV0e199z6SR8rslNH3/ie1rp8J5u2i8dn7Bpv3Tc3HBenx4mX9ru5/jmpp1OEzuGdPKV29MnTDpsbpr4Y/LlmU4jTX86PQYVxi0PWyj9JJfkN7lOLD/m6XDYPV3sTgN5pN3TeZaijUgp4344lZUG/p5+Ou3ceJ4eYTH5xgvziD8RgYhARKACESjI8CZcXpohK5Tr9sLsmr9YL2Wc4gS2IaOc/tlgWEpMmekraHJfbzr/0vEVQoml/UvSTmwV51+Sc4ktN7eKeM+drMpKMzesT2a5cXLD5frne0+nlbb7BJ6Ok89tV/NMp+/28uRTKN98cUk3Ce85bPvMTY/3fCY3XG6YXP/c99zwue+54XnPZ3LDeZhC7u7vz7LCleVXCF/SzY3Hez6TG87j5guLW74886WRjm95Z7LfXth0vOT8Qn660+GwF0q3kLvHN9r8pcCzrDR2xK88eRUgITpHBCICEYEdRiAvw1uanUq/bc++B/vbPLGD9GXnFo/nT3DOZ8/nlg67C/7ZqFiyhJF4NBGBiEBEICIQEYgIRAQiAmUgkJfhTcInHFZm16mMJKLXF4kAtZJIpb/IXGNeEYGIQEQgIhARiAhEBPZeBEru/EmVQZpeJsCMzG4KlD3BSoUk65A9gZpIQ0QgIhARiAhEBCICEYG9AoFtGV7tlidSxL2C/q8VkSW8blRp+FpVfCxsRCAiEBGICEQEIgK7hMC2DC/JlXBWu5R4jLy7EIgVtLuQjelGBCICEYGIQEQgIvDVQ6AMHV4KK8Yqw1vxsIPNzmshCZbdZY3Rf/fjY80v6pkYDPEnIhARiAhEBCICEYGIQHkR2JbhdYaWFGTnPl43pXitTLhSwUu9JLFKOZV6if4gUAqSUi/b4pO4pCokcYi/EYGIQEQgIhARiAhEBCICZSCwDcNbWZ/q5Qs2doE4EUtxuWWkFL12OwLcW8knj7nsPt/9n04AfvaVvIyDX/Du/vEZEYgIRAT2dgSYpzDxPt+9vSYj/RGBLwYBY3h9wKhSpUporG+nL1gwPzRo2DBU02dso9mDEBDDu2L58rBm9erQrm2bgoRRhxMmTAgrVqwI9erVKxguekQEIgIRgb0VgdmzZ9scVbt27b21CJHuiEBE4AtEoJKkf7aRzgPGd7WYqaHDPg1Vxew2bbZvgAneVllXFPr2Ozvs2H2n3e3RP6nGCsKHulm3bm2YO2dOaNKkSejZo3tByQZ1OWrUqLB06dJQXFwcbELwekmoir8RgYhARGCvRIDxbfHixQGGt0uXLqFVq1a2I+mCm72yUJHoiEBEYLcjkGV4yQnWV3yVMb1Tp02zQcW/Fb/bKYkZlIFAwjVXr1Y9tGzVUtLdtslCpIwYbPfNmDHDJoUNGzaUETJ6RQQiAhGBvQuBOnXq2GK+adOmexfhkdqIQETgS0OgFMMLFS7pxe46Utij2TMQMIm7SEnXUy5laT8WLLxHExGICEQEvioIcE4hSnS/KrUZyxER+GIQ2IbhJds0w/TFkBFz2REEylM/5QmzI3nGsBGBiEBEYE9CII5xe1JtRFoiAns+AnkZXiebASWaPQuBHZVqxDrcs+ovUhMRiAjsOgI7Og7ueo4xhYhARGBvR6BMhndvL1ykPyIQEYgIRAQiAhGBiEBEICKQ/9PCEZeIQEQgIhARiAhEBCICEYGIwFcEgcjwfkUqMhYjIhARiAhEBCICEYGIQEQgPwKR4c2PS3SNCEQEIgIRgYhARCAiEBH4iiAQGd6vSEXGYkQEIgIRgYhARCAiEBGICORHIDK8+XGJrhGBiEBEICIQEYgIRAQiAl8RBCLD+xWpyFiMiEBEICIQEYgIRAQiAhGB/AhEhjc/LtE1IhARiAhEBCICEYGIQETgK4JAZHi/IhUZixERiAhEBCICEYGIQEQgIpAfgar5nZPPCxfyi+5fLgLl/cpQ/Mral1tPMfeIQEQgIhARiAhEBHYfAuXlh6AgL8Mbv1G++yqnIlIuT/2UJ0xF0BLTiAhEBCICEYGIQEQgIvBlILAjvE5ehheOee3atWH1mjVh65atIVRSMfSI5stEYGuoUrVqqFevbqhapWooq5Ldb9OmTWHlypWB546sgr7MUsa8IwIRgYhARCAiEBGICBRCAB6nqvihunXFD+npPE+h8O6el+GdNWt2mDx1Sti0cZOHi889BIG6deuE/bt0EeNbL28le8WvWLEijB8/PqxatWoPoTySERGICEQEIgIRgYhARKBiEKhTp07oUgY/lJtLJTFIJrt1RmnhwoXhs+EjQocO7UPrVq1S3LOiEhJpL8bsekmil0iBo3+F45NAXSmskdR90qRJYY0k770POSTUqFGjFNPrdbh+/fowdNjQsE/tfULHjh1DzZo1E5rib0QgIhARiAhEBCICEYG9HIF169YZP7R6zepwyMHb8kP5ipdlePHcIuZ18OAhtm3edf/9w0ZthTs/my9ydPviEICZrVatati4caPqaHBo2bJl6NC+fV6Gd+rUqWHu3Lnh0EMPtQXLF0dlzCkiEBGICEQEIgIRgYjA7kcAdc1BgwaFFi1ahPY5/FC+3E2lwSWDW7dsCatXrw7t2rUL66XOsGHDRul+5ouGGx4mHC4QIPpXND4bVLk1JdWtU6dumaoKqDGkdVsKVFB0jghEBCICEYGIQEQgIrBXIuB6vOVV3cyrw7t58xYrPMxu2YedCnLDGfCif9mtaAfx0fqCRclm/VWpnLfq8mZXdh3mjRIdIwIRgYhARCAiEBGICOyRCCCo3VGT98MTWyW5zU0q952M0m5puxORdkvbo3+CQBqTtL0wPpl62YmK9jTjMyIQEYgIRAQiAhGBiMDXDYG8DK+BEJmqPbctbE8wvOdSHimLCEQEIgIRgYhARCAi8IUjUPa+uMSOJZJHpItwWu6S2BM36I7+uxufbOvwKsg6REtEICIQEYgIRAQiAhGBiEAhBPIyvM5P8ayUZXBJwn3S9nxu0b8Eq4rDh5TSqYFyNBGBiEBEICIQEYgIRAQiAmUjkFeloZK4qoSxymWv0nvpabtnknZL26N/gkAak7S9nPjkVodHi8+IQEQgIhARiAhEBCICEYGCCBSQ8GY53pyIaY4rbfdgabe0/Yv3T07wQUOl1NVqaZrS9i+ePl9SeM7JM01T2p4KVcA5FSJaIwIRgYhARCAiEBGICEQEUgjkZXjNX2LeUryVXrimzN2QT9q5NhdU7rJ/JoEMcaXS9wN0qUuBC/pnkqlatYrorRy2cI3XZj6RnDC+FUK/JZJJyWnK5Fsh6Ru12+KboJ9TLxm8voyHXwvydb72zDEA//LgsKPhv4x6/Trk6fVQnjr7OuDxVSjjl1mnnjc4VnSb2p1pfxXqPZYhIlBeBAozvFsznKxzcKSYtnsOabe0vTz+Wa41hMqVq9hXw9KdmyQIUqmyNC/EWG7dImbPmd9U+pUz/nDg/NuicAsXzgvz5y8ITZo2CS31FY7NmzeL/kyZPC7PNM1pu4dJu2G3JLaGymKmE5q2lCSRDlsovrv7Mx0nbc/n7257yLOiB/Yvo1hJe0rvAuwYFaUwyLaPwmnsaPjCKUWfXUGgVD3sYEI+Bu1KGjuYZQyeQsDxxyldB2l7KvgXYt2dee/OtL8QcGImEYE9BIG8OrwJbZq9cxiw9Gva7mVJu6XtBf3FoPKljCpidvnCG5+JSwSmCeNKPJjXtWvXhtWrVpukNmFZ8cfoXgQ5rF+/3vzXrl2n98phzdo14YGHHgq33n57+PzzzzPMdOnilIs+y6Pkx+JkaN6gT/yuXr1KFJSkVGIrnZenUBH+ufy+p/1lPDds2BCWLl1qnzv+MvKviDyZTJI2t3OpsZBatmy5vny3OrMYKjudHQ3vqaUneXfzZ1l+HiY+SxCgzzLeLF22bNsFdEmwUjYwZrcIk7SZzEgk913Bf1filiLwa/Di46fjzzON39p168ISjUfMI1+02aRxgPa0Zs2aCs+adrdsucYYtdloIgIRgZ1HIC/Dy8CSDC5u8ycZ5bPnc0uHzecPs1opTJg4MfzriSfCfQ88EBYsXGAMMIMYjF3ValXD/AXzw/0PPKi/B/TN5MHKXR6ZgQ7J7moNMC+/8kq46x//CIOHDM7SB/NbtUrCTEMJdPs/L11JWUrTVygcdMGgDx02LPzjnrvDO+++Z189g2EyujL5bC/9XfO3TL7UH59k3nv/g/DfN98SFi9ZkpScStuLjZdre0XwcEyszz7/vDC4OXz62WcWzf3SabhbecOn47o9d3J3d9LGL5rtI+D1MHjI0PDHW/4Snnv+hWTnR1HdL18qjrHtJCkADEg+5jdf3O25xbrbHkIl/rRyGMth6mtvvf2Ojf2O37Rp08Nfb/9buP/Bh405JFZZdVqS6s7bPP11YrSf+PeT4U9//t8wZuw4S9D9djZ1j0/aL778SvjD//wpfPppMsbsbJoxXkTg645AfpWGDP/Hw6fSxF7C1nFd2a74w9FWrVYtbNywMTz13POhVs0a4dA+fUKrVq0sV+bwzZs2h3HjxoePBg0K+9SubZLEgw85ONSoXiNs2arP64qhXS7p2rtivObOmx9OPeXkUE1povpQTYxppcqS3ik1Bo8t+qsi6S9UY5dXKfpxS65gK5H4uZsxG5l0kCBPmTIlPPLE0+FHN1xraStqJrGKwycfvkawstpTzPwFC8LocRMMb2hKt4c9hcZ8dNAeqNPxEyaEsePHa2FUJRzQs2do17at1adPovnipt1geoZ9OjwMGz4qnHrySWmvvPbyhHfakBQxsa+zXYtKoVu3rqFF8+al6POws+fMCWPVT3ivV7du6HXgAaFGjRqlwuYl6OvmSEdVvc+aNTs8169/uO7yS7aLgGNMfcycOSvMU5ufNWuWdo0qh6ZSlypq1y601phVs2bN7aaVG4D2MHnylDBNu1D7tW8fOnRo/7WqM8r/6WfDtUOyLFTRmQsGEPBOxl1VlTC28VvA4X7U4YdLgrsk/OHmv4QZs+eGO//yx3D4oYcarEuWLQ3Pv/p66HvUERY2F+vd+b5Ru30soqapfXxT9oo07CSOGjMmfDLs03Ca5rcv23h/YIeEulu5alXo2qVLKCpqlyXNwyxevDgMHzHSFofdu3fbZvzKRoiW3YbA1KlTw/iJk2xeOKjXgaG2+CivH8901KjRYcbMmWHfffcNhGFs21vmci9DeZ/5Gd4UZ0XBzTAY+eiTYRZtgMINs4P+FkWMaatWLTWQHRomTJocJogBOeTgg8XIcuAsBLbMx6iz79u0qU3gMFizZ88J+3XoYOoNm7dsDvPmz7PtyV4H9AwtW7ZUZRopyaAne8IYVw7VxQgjHUD3tnLVysm2V4ZmilCtajVVdCWlm5HeyBGmmQQ3ifHG4F9NUud99tknFLXRJCemgnQri14YdyWXmEy6WUxwTbkxiltYdyunf6ZkmchJVrvzl46Ra9LMIGWvW6dOalVUwvATLx02nU5uuvnCeZhcvx11T+eLnfikuU5qMC+/2i8M+PjjsG7dhnDpReeHyy+9pCDNHtefTlddMZgN6tdVu6IVlTZOq+eJb1nh07GXr1gRHvznY6bOM1ft/kfXXxvO/tY300Gy9oEffRzuuu/B0KRRg9C2TZvQseN+1l+yAWRxWtJuXoa0m4fDz+1p/3SctH/anfDuZ0vObaEpSZI+kPSGEreMrWCaGaw9D4+YG97dPRytGVJqVK8e2rbY18YZD1PoSZqTtcB94aVXwvsDBoYlWmDXrlXLJnHUU+rWrRN+qIXviX37WhKeV770nD7CYGd8u+3Ov4fPRo8Nt/z+twUZ3nxpelpaCdzFAABAAElEQVS5+RQK6+7peO6WTiPt7+4ezv3S724nrPt7PBvzMnWb9iMO7+D33AsvhQefeSF0bN0iwNw1adjAxhT8Fi5eEtaqn9ZUfX3wZj8JGqZqUm4WDjqgR2iuxUbjhg2zWbHz1rr5vqFa9WpWx1mPjCVNp/ulaXK3fOHwyxfW4+BXr1490b1PNlxuOoXiby8c8epovmnUoH42bc+XZ2583HLzSodJ++2oO2m7geH99zPPhk+Gfhpu/t3/C2mG18MsXLQo3CuJ+2qpJP7u1780htf9eKbzd/c0fe7m4dzP391/e+4ezp+58XH3NHLDuHtuHHf38Dxzw7hfvrCFwhPW00nHczdPk2faP+2etk+YNCn83z/8MRx9WJ/QuXMnY3jT/tiHfvpp+H9/vi18/6rLwgHio2wni7lftGDKk7eHcZpy3y2hcqblYXfHswDDW8YMhZfPHPkoKq+/hqWNmzaGBg0ahA6Sbnw6fGSYNXuWMa/166tzi7mEmZ09Z7ZVLECiK8mKpZMmdCStrKwnavWyes3a0Gm//SytjaYHnNC/RQxxdUmDUXsYL0neHDHLNSRJ3k9hW7dqbcwwRdgsScPSpYvCEm3NI0FYLn0ppMeNGzUKbdu1DQ0bNFSRt4ZVK1eFSWLM58yZG+qL0Vm4aKFWsCNMugMTXrlScvAu74jrWJUXn6QIHsuewM7f7jY0VvD2xlsoP8IhpfHGbR0lFdjTcScPly/d3LD5wpDOjrp73rnP2bNnm+SktRZJqBogrTj1pBNDs2bNrDy5+aTpcz/KS/lZEOXWy46Gd/p8nGHCr6HJm0m0npiqUWPGhr59jw/1NbGmcVy6dFkYOXpM6NKxgzFwLBY3qzxpk6Yl1513L0/aXlYcD+/PdJpuL8vPw9hT7TzZhynlai+5NKTTzPUjQq4b7xiP509cN7BAzfhboJwfT2uiJoyb/3Kr6U8Wayy45II+oZkW4NTPfKlgvfhKv+wOB0l4HjnJ5X2FSWvapHEoat1K41R1C2PSFdFFOk5fvjSdPk/Y3/OFJUyuu4f3+Olnrl86bll+6TTMXkbd4k9Zjz/umNC9WxcTOOD2+YyZYeLkySZUOOPUk43ZI8/vXJYsRhE2/OInPw7rtVhgNyNLj8Iw9tvBZhLKGPwx6TJkvEriZhyyaXmAHXgy12yRsMTzK89YCE2F6EpnzfzkQpe0eyF6rcSZNkT4fHnsjHs6b6TvDTVPt2/XxnZV035uZyyifdfTooX5NG0K0U6YXL80/bl+Hp5nOhzvuYa4mHzhctPNDZP7nhu+ULq454b199w0CYtxdw/nz8S35LeQe0mIYAI56oh5I59QhrDsTh3QqYP6XO1SrAvpY5wee8n85OadDpPr5/F21N3jVeSzdCvMpgx7p8Im5c26lnp3P38SKp89n1smRQCgU7SRVKpB/Xph0aLFYbq293odeKCBzIp+ztz54bijjwrVa1QP77z3vjG8K1au1EBYJyxfsTxMmz5dq5ZaoW3bNibVWq+JDMO2WC1JYmCQPxk8KDz8r6ckAWimeLVDo4aNwnXfuyZ00oqHAXLegnnh3vvuDx9+PMj8a6kBMKDuo3S7dOocrr7qytBOk90CSdpu/PHPJN1tGfZt1lTb4RPCP598JhS3bh3uvO3W0KRJE2OeSk3ghcrv7v6E6Hz2XLf0O3Eq2KQbJfpjSBoZvJlcUBfJHcgZjJm4MatXr9EW10pJwGpL4lHX6tDT8yfhYBZWaSuMJxJP0qXDeBik7Bs3biDoNlvFLHIwxHFDPNKCFqTyuTSmw3nH/HT4cDto1m3/LhZ3gOp+ghZPMLy5xunCna1tDuoxSKA2YMYXMclbthy8lid8JprH1rOStaPlaucNNFBR1tHSDZytrfj6XeuVCs5W1PgJE0NztUd2MFYqDhO/mzTtK1SX7JLUrFFT5Ux2TQjnYcCWLUr6JAMkBikN7R4JVgvddoL6h4envtetW2v0UY+OLQsI6KCpIp1yZs4SzPODpBPaaGvQTltrqr6UW8detoZaJFPHtKE5c+davuzuoPbkxmnknfQ59MOzubbtWKSwW1PIeFwOCSGBTLZtO4fLtAPA4jxt+hzS28Yu3Dwe9YAEbDmHmCTdqlWzVmjcuFGow26IDDlz0JZDTjDeGMpGPkxKMHWeFn7Uy8KFi8R0r5IaRVPll0j7PIw/CQsm1BnMV5MmjQPCAwz5IUGlPqgn72/eJmjLMPKMme7nT8edNkFfp0xLJH2FFq5/JE/OTJCfjQVUvApp7UDjAfMmdeP9hXQxtLOTTkgk4+agnw8GDAgDPvkkdFX9n3XmNzRWl0hxCUOa69dvMGEF9VlW2wIXHwscQzBm7DahSmrMcQwJxzy0YuUKMQvVQ0MkzmqPpON0O625T+YcHwvZziedRqp32rJjmX4SH2HM/PnzzZ8tZXYPCEMb9fzytVSnlzQQBHH+pYb16ybW3hQ524bAjHqGaUYNx9OlTdDGGTPp327AFXfyBSfH0P3tyZgrJp+0oQWTfno5GZfpD+nJzWnnuSPtz/s98z9CJxg01Lwcc+ieJUEG5aKfN0y1Hc8TOr0tlNWfyAPBAQI5yr9I9ck4CB6kTdtNp0m6hrPiITCDBniUxuoT8BNu0nFoi4vUr9mFbtK4pK+y+0hZ0gs64iHcoG8ztxI+PT56+rlPqga60oIp0nLjbW3jRhaLyaHctB92+IAFCxZq/NigvtPM+oPXr8dn7Mb42MSYsWz5itCqZYts+yEstIAlakzUD0JFrz9LYDf/FGB4ybV0N4MBhpEDKvdxN0K7fUf8SY8Jrri42CbgyVOmSWVhVjj44INMmgrzu0hS1yOPOFygVAn9335Xqg8TA4MJYM2cKZ066e62VAMsKiqytIRp1tAgXn39jdCqRfPwh1//H5tQhkgXis4yQpLZjp06WmFgAOhMP73pemN40HOZN29e+FBbxZMmTwqfaABuoTSYtP5L6QzT4YHR48aZVPncb51ljT9wb3GqIaUxSdt3BB/H1OM78LjvDuOdEWb//Q8+CP1e768DaUutfGzd9la9nKNtdSZkpwndazo4EvSnnn3eJsN6mtiPPebocMZpp2lCkk61cPEOMlqSypdeedUWKnRCtijRTTu0d+/shLh4yeJw29/uDD17dA8Xnn9edoBmor3j73cZ43Dtd7+T7Sik/9A/H7VB/0ffv2kbhiEXKzrbEG3FsVD6xumn2VbpewM+CoOGDAl9eh9idKRphnbK2P+tt8MQHVhkgmEQRHrB7Qy11H68ToiHX3nD59Lm70wUS5YsCz267m+D1VxNip+pze4vBh16MOQFPSwW20mXlP6yfMVKG1TwZwKuIloYfN565x39vacBc7GY9RqhjfROqcuDDjqQoGaQev/1jjs1SLUKV195efhQW/ivvdGfjFSmKuHoIw8P5559tpiiZAD/UMzJw4/9SwvSI8N3r74qWx8w1Xfedbe1hetUT9DseJKR26l/FrHkw0AOAw3N9TWgF6s8F15wnunHEodB9/F//zsM/Hhw+M/f/IelTZ0zYdLPuXoQmtGn9fSZ2Iaqv7/x5luWPpMQEwV1xQKBBVJZZoT0D0eOHm3M/1nf+IYxu6TNH4Z67swYgpEb9cKi6ZXXXpNO3CzDHYaWvsP4ctaZZ4TDdE5BAcPHOoDLAasG2qqm/lCveeDhR8O53zwznHfuOUma+h0/foKY7hdN5WuNFhdNNEEc2qd3OOuMM0KjRg0zzLtUtNRe3nv/fWuj06bPsLK11mRz4vHH2QT1puq/o3ahLv/2pdafl6hfv97/DbX5oWK8lxuGLTSOnnziCeEIxltN6Bhw/5cOZL334cDw11v+aHq1997/oC0gfvWLnxuDcfuddwnXRuFnP/mRTYgwQjAEo0aP0Zb2Q6K5YfjhTTeW6leWuH4cS97Bb4vKwe4d7kyOGNoJBrzZhbvjH3eHKTqk9p+//g/t9mXwtxClf7yfjNPY9MJLL4dx4ydKRWKdqUIcfmifcNY3zrB5hLwIO1O62c89/6Lt/MCIwkyzQPBxiMncw5bOKelrNSWUgTF4VmdSXlebw7CA6HvcscL1RBtvPD5t8z2NsW/0fyvM0nzEAozdJvA/XuHBz03uaO9pJHXYXwKdIRpv6AdVbdFyxmmnhN4aT1E5w9D3H/3Xk+Fg6fZ//4brTe0D90/UBh985NHQtXPn8P0br89ud7NreY/quKv67U3XX696q16g3AlTjUofxvH2Z7oMFkA/0G71KKHB62+Ur/2l+z0LyQcefsQWCqgmsdt72SWXqD0u08HBp8IUCcC83i6/9GI7m+F4QcP2+hNhWBg89M9HwpSp08J3r7wiLNau75NPP2cMHwuSHt26hnPPOdsWMqSNYZx58+23tQCfZ4sF0mAcg0E8/9yzw/7Sc3Y6qPsPBw60+fVztTnCwqOc1Pd4W3i82u/1cGDPHuHSSy42TBdpbHzltX46yzTYmN462vXr2KG9xuJvafyR0C7Tfo2QfD+QqPbtjCX4pw3vXg53pw7pdxzGfu7Fl7TzIjr1PYNmGj9PEJ0sVJ0P4BatW2/7my2of/nzn9oCjrGZRdQvfvpjq2/Snajd8ZdffVU81RSrP/pWx/06WD9kh/yLMIUZ3kxF+kQOMW5Pd0B32yl/zduAyqqpXZu2YaoGsalqZEx8MCUjRo5UZ+wUmmsyo/MUS4rLltfnn8/Q5NNBKgqzxeQsDMcefaRJG0jLOpsIpBJhRvoee3Q4Rw2DiY6GRoeZoUbG6ooDQag4MOnccN33bFJKg04YKmnR4kVhg6QKjTTZnKQBCcbr5TfeDCer0r9x+ukWZfXa9TZAk38+THYKH0VKp6WXL8R89PHH4Y//e3u4+LyzwwE9eqhcG8M4SRHRZVTPydLAggWd6Lvve8B0TY8+8gjrBEhp7rjnPmM+euuQoXfIT3T48D//eEs4TIzzlZd925hhBt3f/uFP4brvXGkTPQwaEwvSICbjM884PduxkNZ/KiakrjoKkj30VTFIUj786CPV9THZQds8cn6s38sNpnuydg8O6Nk9dNFgT1tpKf0/yjhFeXTdf3+L6XQjpb3/oYfDO+9/GFqIQe+iQYZDNiZN0OIgPYBg35HwOSRmJw3rA5IytdHuQWO1XWgbrv7AwUxWxRikfiy+WmmiPFa7IEh7kczALGPAEkkBDMtjTz0bTjuxb7jkwgvsVg0WHf9985/Dr37xM+nNH2ThibdKfQ/G+c+33mYD/v7qf5QHicezknYW63DKkUccYeHpTzM1WdMf0gMm/dCuUVL/c1osQs5PMqAOD9NnzAhI2ulfSAvHT5gU3h/4kbV9GCUYWhjhNaINpvXRx/8Vxk2cFNqo3EhbWBQPHzkqvPra62K8r8wyC2+/8264U+0Q9SMGVnBbsGihtReuQtyeQWVhsRYd3TXBddPCw43Xd7rM+NEzFmo86vfmO+GYIw5V21I7UR2wE/S56ua+Bx42hqR9cbExI0jZwZCywRi1a9PadMupMybtUWK2/yR1Csw53zzLmPqPtPh+9IknTUpy/feuyUq131FZ//i/t4U+WsD88mc/th2Il199LTzwyGOSFNXRuYf21o+gHYzv1o7WwE8GhQ7FReHIww7TeLgyjBw1Rmn8NdygRQT9DkMZYf7YbfhIuyDjJowP72mBwmTGuMAZDNTPJmgSmzptmk3wjg+M5nAxvddddYXqtrGll/tj46XysHHbPEExGegYXzAeBjtYoVq2AMlYpp3jns8Qj4Opv/39/xie52gxwcLoo48/CY+IOeJ2GTAE+5VK8xEt3gYPHWbzCYcR6UvsnozReFHlou20F5GMJO/ZF19UX9FBrs4djZGZI8HJvQ/+08YIGGwri4ilbmibh4gJve67V9vc8bKYmpv/erstVk6RepUZpZugUFJC0mCh949771UdDjbm53DpaFKvo0aPDf99y/+GG675TvhGpg5huuhrk6ZOCXPmzbXDubQ7sFmpPjpJ4zp1171bN8tk6tRp4VOl862zzjRmtyTnHJvqAqYTARTjMXlg5GzM9zwt0iHe6xE/2gYL8Hs0Z3B+okNx8Xbbn/d76mf8pEmhrcZEGE8WyUOHfWblniyaYfDbtm5li3oYz6eeec7UF33nZ/QYtW/dpIEpqz9t3brFxjwWEQ8/9rj4hdmis53V7ywdluynxQxM3vXXfs/6GW0SJm6Y1DJZVLDTsUn4jtFB4lFjx6odrQq//PnPsrsVLHRuvvX2cJCY2l/8+IfW/l7r90a4T4w8eun0qVraJQVP2uCdWuANHDQkfPOM02ysniY+6XmdKZg6/XP19Z/YmSb6Ke1iWyN3YY60epZUOteucz4lCcnicoWEJAhBkl5XksJA9ZP/1m02HTTmX3bxhTZ+IKC4VQtc+KiLLjjfxlqujqXtMU4gFGKeHyIsDjuol9HPYp/buH7/x5ttd6Zrl86a11ppnpmhNjDIdi9//uMfaVHQOcsrlFBRsbb8DG+m5DBb2caKWy6eabe03WlMu6XtKX8qCuaBU+jvi1GaOn1aWKqBCEaWSf6qb19iQFfRtgsrbSa6iRMnhF69DrROhjSya9eu6khVrIFUqlJCJFKP7t27G7O7TIMQUovm2gKxA2bK1/6psmgodevVD7OlPjFXA9TMWTM1KS4Kn6tBsUpjCw2DNHrN+kqq2LVhH0m52CJcqk5hK9xM+bZhUJ2cAuXPYloef9FQKn2jqmJ+vMPwRE+5sybIC887T4uRZKvrCJ2QZgHg0j1yZaJDAoyE71tnnWXbZbjDhEyVlAl1k4PV6BnkGBQf/de/wxG9D5G05wbbKiLsgQccYBLbBx99XPXbwxo9k/1xxxwVbr3jLkvDB2KY1Lr71DEGaKLagTO8kxnI9ZERpMQ2oeTp/JSL7WKYCSRPSyWxPUITvS2kiopMWj9QzPdo+TnDC32YTwYPDh9pYtmvfXG45uors/5sSXMV0lzlne0nOxHeMsn5YVKgLKzKOTn7rgaa6VrsMUkdqbrAYJ8gTI4/5hgd2EwWhTCYSOXcwNy/rMH0lL7H2qKOxQSmhRj83/3PzSZhhelHaoBBjQdmu7kY+9//9v8aLrPnzgl33XOvdFYXGZNtAfVDvaIixPV/6cEBuqnDGjW4V9s7gMdSyIwb2J+jHZIrJHWE+XP3Dz4cEP6hCZEDqtyryoRNywcL2h8Syeu+c3U4VFI64jz+xL810L6j8WCOMZCky00ML+g6J7YFL77gvHCyGAj6KdQ89cwzumXlKaO/hKrE5v0AhoDtRnaWODTr0pF0eKcXN+JhkOT8/a9/tkkIOjAwA+xYfD5zVpihOoThPUy0M5798ZY/ixGZFr598UWSoB9hqlRgx+SBZJrx5Vea1I6SH6aH4qCG1f/t96ze6V9rNB4N0G5UM0207FgcfFCygEEdAKYD0q66/LJsf+GQ4yAxdj27d1N7vkr0FBnDxUL1kcefkDTpdeuHSF0oF0x7C9XPy/36GWY/0AFK/NjuRbXnGNH2jBZD6MH31qFjsGIRyu0CxOt9yCGKV7LFbgVJ/aRxTDmnm1S2bdDPOJjmW/+lwvtLpi5gSmAsGaev/953wvHHHmshwJ36ZVHFLQ+HH3aoxrHF0h2eYhMxu0osIjH0JSS/5IcpRCtjIVvRMGM/vPFsk46uE3PxrK6+e+vdd8P7atNI5mnLjK+vSIrXU3PeD268IbRu3crSbqMFDwtN6p0+jypEdrxXw01amAU16ewnQ4aFXgf0UB1ebSp39P33P/gw/FNM2vOSaHMzAow7dYVEcLQYMBb03EbDtjILMXY6GMNhohhn6W8TxQAXtW5pZSA3GJp8KkAwZPSvt7TY4i+vEdFglqkSCwIjhTCjp+bm8rQ/7/csoq8XI88uCXX6sKSww0eONkHZiccfF07RTTkwV0hIn3nuBWO2mHdgeGEcX+//Zrn6E0SyyK5cpbLV/w1qO9wgBXOPtPzpZ59X//lUN/NMt90r5pWjjzpCgoDDTEDhCz4Y7Du007VEqgjsntEf2R38WHMJ4+x5khJzSB9TX/zHTIVB2nutFkDMbfS9j7UoRdXygnO+Fa664nJj6ik/QsK/3H5noC8znpCnj12WYOaHNoPKCgKLu+69z8a/tD92xsSGmuepTx/H4H/YFWkkPG+49hot+LtaNHZUSOvV1/tbvyFvWiaCQwQfL73ymu3o/EaS3g6aLznUjpCCfsg4derJJ5rQBfUu6vMZ7Ya8rPGmn6T97STQzHeLhGVcQT+lZdsVlOiOJJMMqFXsOjImY0CBURoxcoRt3xUVFdugyqRaLHA5xDNf20Zjx42TtHeGVUhxUZENsujCZI0aC5MVzCrSV0YLdEP5s0GLWpZhoKLzvKmVyW1/uyP89r9+H5CWrF65KrOVkzQIC2tNw99pSu6aSSzjsjc+kkEpYf5R3ZgqKd97H7xvjANMIv4Mbh6OMlJ3TD5IEtAN8xU++pQsFJgsvAPNnjs3DNb1XWzvMVESlj8md9QfOACBRN/T4GBhsnKebHCyghz2KYPMiZqketv2vm95wvx23q+DdgKaF4Q+S4ckkmwNddFWtEvtmLTZ4qwlqfJgqQiw2KKc/DExkj4MyFHa6mVSYHDhzyXRTDQ+MYFVecJnmtI29JInhsUFEw2SbhYQXSVhRBqDtIn8oIsBdZ3ad69eB9ii0AZp0cWKHUM4wrDwY5LjnSvMmOwYWNpr5c4BIQ5qYmjRXAXIk8GYFTeLUaTMRW3bhRXQlJq5KDP15diShhukJPRH7yXunvtkMkatBdr4MiJSQZg0GGkWmEjezJCQoGFyPkGTW1/9MZHBiFCX9GH6tpvpMz7X1VVzxLB3CMdI+k07g3GDCa1Xt57hll6keDx/oopAnTPZEnd7xvsFfYdtRvJhQGdXBGaC9sIh3fUbNBbJ8E7dWjzVM5MSxrehF4thHDFqdGgrFY362oFCGsmkyU4TEqCa6ndITTBIWmkvLFpQvXKDxJy2jZ/3FSal8YoHc9ZXB8ZgdjGU8yhJ7pG+zFIbmTyZ3ZwSw9kI1Cm+f/11JvlD6u06uT3EuKDfCz1zJVnDcAD5MzEjh/TqlWXoSlLbFZtanfCydlcgGW9zSPmQvKHawbkNJIIsPlhMwlyCJcINDDfusJhiN6O/GCOuGQNz8OuosYj6zNfOnQTa0hrtGKKScOABPa3NoGtJWyUNmBkk05hJ6nPMYajf0L9Qn0OPlz6JzuMi6Uezy7KNyfQ9+j67PZSTRVKRzpdUYr4TjUccfph25bqbmsTUqdMsCZgLxjqk9Cy4MKheIH1mbKGv0SYYJ8BmsJi5g3WOpknjJhY2MySZPd8PbZm8wcj/eMe9xCS1QvujnXD7Rrnbn/r9IvV7mFoWLUjkaW/0M26wYffifKkBsUCgHbOzAgNGm3dh1Y70J6ebeqD+Tjj+eFNtYXxld4uxlMUUbQlDu2CMtGst9Q6TjWoTqpMwyTaWSIiAIR4MI2qU1LUb1J74szvtMw3Y6lnqJexQUU9IVdlVJAz69s2bNbFdOBYp5TGMf/nqycagTAKZrO2sBxJqmFbGP3auEAYyTiOVX6bzU+woYmzOUkQ+/MKc8sPv32jXdNJvqA9woh82E49wYl9hqfYIZsyfJwrbRtKTZ6xjXsKU1c8swC78bCPhZbplIuOfGUeAl7Q98S3ttjP+ytBva9hfkqYhn36mD0wMMnCL2rWxq3qY+Mib1QR6Thwa+lArZnQFu3XtYqsdKsINZBgpAhVjFULBZLLlwi5/KuSjjz7WFst9mtTbhl//4qeSovSwlQmrDlbR3gGIm0lGcTVpaTvAkNKL+VXEp4uNytRPUgRzII8vwhx95FFidOeEv9xxV2grvDt33M+2Utj6pqNlG6TIQUfXjbuDkWGup2PHDRnFrVvatjXh3R87nRmJIh2DiYw4HAA8/ugjdRftcEmtzrADPiPGjAtXXn65db7ntSV/tRiKGppMBkhi0BemWYw0NKTTJn1Qczpgqhl0aFvDpHc1WhMdkj86NFtR6CrBpFBODIz2QnVEBnK28zFOIwMqTKnll6maHQ1vCWZ+nHaepAO2LNowB2mrjFU1/YPryaDh3Q8GhL5HH5G53zI5GETDJC6GMPSRFpIqIQF87Y03hUMibbG8FGbE+EnCY52FBygYWpiuajqw44a+ZXRYGTMFdU89E5cSd9LeXlP1sjKIo4PINjMSJ+qpsXQ+wduwTeWDlTL5IRCvB/CHYYTJ9rpHt5/6gRlwXTPPk4m9inDIR6TH50AMbQDGkMMiZRkrrwIQF5rYQaA8Q7RAWyUGinbJ1VqUCWjcoENs7yLFF+vEJ9zqNasllVpjk8It//tXlUVXKhrNCqxIXPXEliB1wwSCZPFltY/Pho+w/kSbRjVp0pRpUhfpnJGS65CUFk3ocTP5MUFjHEfGwtatWhvjxqRsRtlRLpj3i847x+549jiOFXrMHTsUS91olC2gYCaR9kIbakMslB37JNEv5hcpFXMH5fqrJOzrN0r9SGUB8yqS3i0XA8o2L4wFO38XaJF3v7aVH3/62VBPWLI9ztjH4grmysubn/pEEu6LI8pOPdYUE007mqfF3FrpYGNQR6ANw9T+5Be/zI5NQlp1sTlM19gLg2YmT1diUc3uUj0tcJwptYWoCka6qAeuV5lYODodLFBqyw/1hYULF0lVb5Kphh137DG2BT1M7Wahxgp2VWbNWyDpbmfb3Sur3uirHFZC/QVJOe3Iia5atZqNow8/+pjVvbVzedr4uIPtj7GEA1UsHDDeXqkP/nyhb576wY32De0umS5/f/IxJDlfZNduKk3HEXxhVD/WmAWj6bSw4GY+QeXos5GjrL+i164AoiehCfo4e9RW/YPr3AYPHRpOUN+A/hGKM3zUGKkk9cruqsKsIxGGIUSH919PPZ3ZTUsGEYQdo8aOs/mMtPPVlbK29s3i64pLL7U5jj7hi33weeHll8NLr75ufYP+geG7BpwtYLf9v/TRE8rveJPP8hWrtHiaZWFxxzCPsOCDT/O2QBuBkWXRDX9FP8M4rXXE5LeSmtFwMbwIOzGenr1U8M82DG+p9GloSVnkDMi8+JOQ+ez53NJhS/sDPFKlupK6FBcXicEcYswuAB2iykd/kRPHZF1PK4JOGlyZvCsvmG+rcUTsNCImJgOK5I0unokt65Qti9zFqFAZbN+OkZ4NEozTTztVK+TDwyb5bVKWNCgGxiQdSyVJWRXMSgkJEGlUF9O0QfknISx45gcXz9Tt/kxS3TF/xdk2k0xeu/4APxoi28vXXvMd6YueZF8OQppw930Phg5vv2PqCGyTuQFHp8kbqpGYQ2fSwD1W6ScYet7uw8r4wJ49w823/U1M23zTMWupWzbaaBJiJcyAxlYjAxI6Vvtn9G49fqkno63KxkGyQRqokD5PnDRFp8GH2EljFdokPBwcgNFhm+hgSaaQYDE40JGhkQksbbhqh/ZB2dzAmJQrvDcLj5h6Mlgg2WSC8gmUm0y6axIa9tkIa6/0mdmaRC+58HxjeOgv4MLEx/YdBkyhGb/TTj4xHCJ9araXfFBDfwumkPq28MZQqTqVBsxj1tAusi/bWjw99yFP9MYKRUraQqKH+Ij0cZ9/+dVwpCTsP9TBGRhUpGEPivEwGnJxEi0+mKbbW3YxKH8MixoM9UPdJWVKSgFzbNLgTFgLmPrxSYxtQyR/M2bNNOkgC7N0XRMFGpwO3tFhu/Pue8VgNg3nSAeyR4/uVgeUk4NW6SyhlHfGQP6lDWmSF/V/1eXfNqaZtkUw8GYxgESXcJTv0ksusi1YPuLD+AiTh17tfsVFumM60b8jfXa0vL5IY1uTuKXLRBgwcYku7+TpBoa7j9SJPvhokH2Up7PGZCRc6CS7OpKH/SKflJWJmjq8WPqGtdW3KUeCu/xkr695x8sK89deEi3UgPhi2uSpU0P/d95TuT4Ov/zpT8S897A68fD5yuJtM+unOmRuoB4dP/BfgzSsuMjUeUjPBCaKRJ/k0F/L5on0T145LSNJGWFLstuybR16X0jXETdAdN+/i23/szNK/TC3srPFwuAlfYiF3Z5RYro6SV+1fXH7bBEKWkTcho3JTQbs8OUaDpJhjJ5M86asO9P+6CiObS7+uJfql4JEsCcm8zSMt9OfWBgzXjAmGu76of1gPE/eWXAQgPBgTPhnnn0uoJbHmaPvSH0I6Sa3Gtx97/12dzdtEYOu7EXnn29j4+NPPq1d1IEmTBgr9c1u2l1BnYZxBwMzyh9qm6fr7AbqUtxelNDCuEOoSjY2mC1xwJoyyTjCmMxOGruruabOPqgdJGVyP+ZXeCoWaxfr3AeLDV+U+/jDoVmMYw8WMO9uHDOe/NEOcm+CsPhyT8J4zN33LJPhpa1k2qlRgD1pP0g6KUBpszP+lofAoJNz0hzpDhImGhFfv0I3FzsNGHf0PN/7YIANIGxrtJZkI2uyBCW6jwwySefKelgD5dQpDRuQWd0zOcIEwUChT8egM2HCeFNzQH+PcGYyyTCZcMKQgQNpNDSwcsHdK7+i8MmWDYvyLylJKZ8Ke/Gy0sCRanTU5MUKni/m/P5Pt4TBYhjTDK81kHQjyaGEwYjOhprDNEkuOGWNyeIkbFEhYLuRWyAI66azBo9WGqjJe+SoUeHwPn2s3jl8dEivA3W6/yO7OaNbl062E+Dxcp/kRbnGjZ9gerAcUDtXUtLqagcw7GBKe+AwJNJGdPlQq0G3FRyQ0FFEDh5xZZ5PJBz0YcFEvbtJwuvaqO2FL6MioZeDDnxRkCutMOh/ofM2SlLud9/7wAajrh072FeO8KdvwKzDyCE1JQ2w5OqoZZLCsF3KAcR8JjuRlPIso1JzwjGwp+uNbWFjrFNMUakomRd0PF8Xg3istmVv0la5D6BIYL3O8sVTZeZ1ttFK5cawnc+CAb1ZFqb0V6eRLcHakryRRz7jfaCTJi0OKbL9jMrTpdKz9bpPx+NwLMwn6aI/iGTnJh2Cpa24gemiXKVHVHwzk2qmSJ4+6hpcSYd0udN+HQuqBXgZmJhQD0HPnds0qG/0o9FHp/1Sx6TNArGpdjJ4R5+T7V/Pk7GQbUr0C5HKmgEiaBPm3k5w9/rxdNkyb92yuW6TmGRtEAlkd7m5Lixxym3yV0u5o3tAdonY/ubMBddWukTb/XOf4MDYxh+HQ+fO1QEl7fJx1zLjDwyvt43cuLxDtrcxf9ImkO6iDkIbwNgVYAoMhn7GwTzy/Qh3gyOFCYwzdUq7YycD43WIysB0nT2pofGAK7ugg3w4tI2Ulw88sSibMm1aQL0MBgUVmbatW+qWj+SLpTDibGVv3zCuajFk7bpkTCc/6HFmkXSYDzE73f6IXKjfy32bekmyI5aZ8vYnAlvbFr3MDaicYDx9hAd8GRGGkAUwhu16dt8QSPzkhz/I6srTn8DfGUXCkjYChi5ibsfpDMbxOqsCn3K2FsfoXLPN730qqeeGYcTosXbgFlWZsozTmDeM2g98FIb0PSxPfwcy7JjmmiMRArIw66Z2A11lGa8ayofx9LGjakK9s7OEuhQLYvdnt4NdBcZMxiyM4e8JmkvF/ZQs03PTzPYyLEkhkt8kYIm9IvwT3cE22orZR6uNUfpcLYDASNJxDESAVI20bJHctzlSEz+Ma3FxsaRwErfjmTFIhtjKHScpHttYFlFlgFKY23eG6JOIkqDRAGCaGchWr+aAQz/7Zvl//Po3ui6mf0DFYtaceSV6NaKJTsx1LWx/IwG4+S9/DT/VthQDjw8ukFGx+JSkRtq701C+mZr0XELGgoFBsWNHfaxDWzkMqFkjyPOddqcmqDdv1IRvKenpAVI/4YSqX+tlg6I6GBLVeQsWZSeURHKRqDoceEAPG6D58IIfxgFnDoAM0pbQBwMGhj5S/KdD5TO0HfKhrjn1DvOHagbSfL6OdZK2YNiGOUG6ROedc44x0ExSHF7DMPGzhcWgBIONSgSHUSZrkONaqfli1hlMvfmxdcTnsbcbPh+xGTdohmmsXbumbYl6UAYeBgYWCNwJiRShqKjIvBkckbTR8tgaoh7Bn89+oh/9oQ7ooJeIO1hYPWuB95S+lkRaGMfK6s5cSn5IC9zT/QwpEwtF9MpgXpEsg88/JengXsdq1VgIFG67i6UjR3qobrD1i0H/mIM3TBZpaQF+RgPtipeUIQ0WxkhDXGqJTh16fOjPvvPue7YIQG/xmeee020bH+ggmg4EZQbnVFKlrOwmcRML90ly6OhhXeGE/iHb/WzxY3/iyafUPt+yeGwVI/1h29OlebwP1q4Vi2N08dJ4UB4WS/xNmDDJ9Cd9UoJhh2GEcXztjddtochkhD99k6vcYFB8grL2KKk4jH2b1m2kAtPLFjj0C8JQpxjogglGX/Vt4cJZCHBggfLu+++bWgmSWSZkMwI7i7vodePtAD8Mtx8cIWnhbOktkuZiMerovFM20vdwHr/Qk+RoZ9RlfqOcVZakLZYOYW6K57RxzRoHTdlSfUWHZrj5pwTDdYbf+8IQQ9t4XWM+C2/CsINHG0LSysn2LP0FmjPtDyaIfkt5qaepYipf1MHJ1WvX2G5lswyDxMKExQF3a3PYizaC9J440MphIQ6kYkiLMdjKlsEaTJ1R5qA3eu/QTDpcJ8n2MNvHfmc0fhje2QWaI6YDxq2XBEoYtqBbijnmejTGd9pdMpaYd4EfJLWqB5XbseHpfxZJ77Q7G08ytCMQ2On2l0uJ0rS2kkk7662mA2bpfLklhEVZWf2J9o+hDDCpSGORfiPpBEPUN1j4/n/2zgLAruLq4xN3I+67cQJBAglQ3F2LlBYoVnda2sLXUihUaCk1nGJFixd3CDEsxIW4Enclxnd+577zdvbmvd23yW5I0jPJvjt35MzMf+zMmTNzZ86araouHTokhw3hNeAuEFBQPgx9FHqoX+qBx0y7gTY7yhwO1blFaOwru4kws/Rddh2sr1LPMMG0q7eEFuMN+aCd8Mc7Vxayc4mhrWxhMv0JCTNpY6yO4ncTAJobi8U9ZDE8VcZPyowQxeYOxj8W9giizBBP851Jw9x5svDiPAjjPVedogpCeLB99fXXdaxAZ5xFO8byoC+V/FMimooIA1sCXQKQeuEgd82Wsqtb4qQRttIfMjA5THCcMuaKIk6dN5FVLPq9goBOckyiqDV89byzVRLRvn2H0EAkK9ahyYnSqVkrnC5XwDBZ0ZHRixIi8ve5SkFuueHXIt6XU+3SWRloDjvkEGGYGugdfTUlD21E55FGCPDoljYSpjhphAxkm3WA4N5C7ulk4FBFcGmUSYOTdAyrSsKHckETclkTVU3WbRss5J3yMuDdfd/9OmlwehlGFWV0mCUOsn39gq9mU6EDcJBJCp51w0Lnhw7YWuNF0njRV88PvxUpMcFhMmEMuAboUdkOulToIlHFaE1JIAYzmNNnRcKyr+gCsiVjpmtxsVrnyMGUvWTgJh0rg4WJnzBl7w4eqpJQdg4wSEOZWC0eF8yjRoEUlTuYDz3kYEmzteqnvSNMGAe+OHWLtGS6LApY9baSgWG0KPfHbfBLghvMSFnh2dHIZ6DFQLlR2rsxToQtLioSKVVHmQwnKe79RUWBRR/haZ9IkBbIoMIHWWzR0GfPPfWg33+eeibc8a97dOBhGxed5akixR740YjwypPJqX7iUNfgYvE1j+Kuk7EwDNS5GRh7BmOu77ntjrt0i49te+oKaTOHPpI+YTFKP5GQKLM3cZLc23u7SrFhAigLdY8ES1VmMtHo/8uEIU7fn0v56Yds/WnjkfDdu3cLB/bbX/Wcn5JJgYURB3I4uNNVcCSfMAi5TNyWjpF2yrVnb8uVdNx28a4selq2bK4YMXmOkLZyzmmnaDmR3CBR5HAHTD8MMwdXwBk9vJU6aSTMB7hQdlQ4PhJ9V24CGTRkSDhapG7nypYn26UsysbKrsRLr74hC6ypejiH+kHX/a1BQ8NFMg7a7Q1ImLnSaJrsUrATw1VkTKgcouvetZseZuJqNspGv2YByb3mf/n7P/VgH4zaJyIgoN9yf6lJQxl5c+FOH8cPejrmyrjJgoxrhmgrXYo6ld4JygV0DjfqljGFLdZcbYd0Yc5pB3Ebxc4d1MkhpWQ8oi5OP/UU/RIhVwpOlwNb3YTpg4Ghjp6RyfdHl18SDhdVBibfE7/2zfCji87Rw2Rs0TMxc1UbcwOScIyVO846+WQBxDzzpNzKwFiBof9zs0kPwZ27xlHTIixtk12z2+6+J9wnOq4fDRumOzF8zIMrM98WVas7/vLHZDyU8OiHUrZ4jOG+cKSDr735TrhZ6pByUXeoJXB47pKLvqa7AqSXzF1Jn6CNsEhnXmwp7RWDtJhx5b0PPtJFK7dYxH1AA6V+rB6oq3R/tKBsX9NeUfGKpZyV0f5IA8kyi9F0P6bMpMm5A5uZ6B+nnHSCLujy9acLzv1y9iYP1CibyWFR5gy+AgtG7E7OlHmEds8OoTFoHURCzg7bHOmXt95+p+4m8NEsbmeoJXW+WPRw4/I3lhsZGA8Yg35zwx90J6dxw4YiRNtNFyX0aYQZGA4hog/PfEQ97yGLVYQpqPmNFcGgVJR+pyCf/JVycE0eBzQNCyUc/TCmcxuM6vYKPQxSWe5pv0nSfFxuvBgliyh2SUwi++wbb4ebr/2VMuqEp08h8IjbqLUh8suVfGNkrBwg4/DMWTN1gczimJ0GFtgnylcVmeuoO+JVlalxrRiIW+ZmCFPTTKQLiJfJPJVb1SZOoXv3rnpAp4t0YCpCD64QgD+pMa4KYat9XznEU1xcrI1dMKLeNQzSXQDmyh22cJpKB2cQVB0aCcdAjkSXbRskw6TBxMOgtLessrgmi8GttjBjHIgiLCtydJW0MiQZOjgMOVvMrMCI16hho1INRoJVgYEJrK7MCp0ZZgwTNxDsnPjF5PJXjzw/xIWBQSoEg8j2/htvD9BvbdNxLpf7NLmexQZQtkSXyunZI2XCQCJgjZXDNqximcxZzVv+OMyy1569dSsHycZgUfDnJofLvn5hOO64Y7XejEZSp9V01Txm3FiVHvXff3/NOfRYmCyQTt9UBg+ktDDPGEtLX6L3jz4eHiYJY9Vv/756ah/mkDZDeIvDEzocWkOCj84UAx1fW4JZgAnlxK1KR6TOL7v4YgkvOp6zZgnd/bRt0WfQKS80fDrP5AHpwHDR1YVp5Oo01BnAhXaKYWXfUQbZk2VxGEvw2BpatHCBHgIgPzCN/NFfigR7BmwmYeqWwY0djCt/9D3pC110clgpEgwOsyBpYKFBuhjSnijYrRZmkQUBevO4wRQgMYImbQK3c+TOa/TQkBqvFSaKq+KQFmAMZ7PDINqdyosWyWe9pS1xtc/X5M5HTq7TNw8UST56ZzBRkyRv6wSbfaWPFhcXQUZpwrzMFAkqkgQOz4ATerpsnSHpYTcHho7dnG9ddonqlXJSnoNejCPWntP5ozy0E8aAzqJDzdjCFifXouHHwufMU06SD6ycoHp3SHK47o38MDFw8IOtwcsvuVi3JGlXtL/ioiKNT7ps+X8mH0OgzlG94CuF7GowhoEv4xib2kj1p02fobsjfDDla+eeLZ/CPlbwbyRMxdrw7kAmklnCWB2rqkG0Wep+rly1yMczkFBzeh+9TQQLMKfNJcyyZUs1n4yRPXt0C5dedIG2OcMC3CdOklsdcuCuFSA/YEF4+sr4CeNVLexE6c9cR2Z+Fra8J9LH2cL0cdvE/n37Zrc5iUcaMHV85KaWlI0bCuxOak7GT5Y6hflA+sn8ZXW0r/RV7AsXCIYyvyHppd+yyOa6OhYXTLaH7LeXMNLLk1PlwrAQrmOHdnqlG/rvpG+4WDnMjfqqXVPuixamF0ngOqnTli1a6il02jP1TB6sHKgMdIdJlcOJTPzsAMDIM69c8d1vq+oeNNnpoO9tkNs9OFfA/AUd/LgqqpUwSUjO+DANusLcWMA4zdVV1q4tTdoyEmRUtw4/9JDAeEoY/lhYMmZz48lRRxyRxT1dXqMFIzthAodMq+l8bVdEagHlh3hIHqkTdsD67rOPHpxkfCTvzM0wfdvS/lBBnCvYFcviit0/2juGHcTJ8sEo+gbX5HHPPpghdCmrP5143HHaFhh3uB8eVRTaE3MCUlx2otgxu1SuB6ONGTbsxqCORT1SZm6b4VadSy68QMctxl3GU3ZB6OccJuWjFqedfGLoJ3RgrLl2lest+Uz84CHvSV/srgw17RIeo0XzZlrPLIgYVxiLGBsvlbkTutShtE4BXiHI/sz+dI5K9Amz37776IIcT8s7dsYl5jY+TJOokVbHWRdMffbYXebotarWNW3aDGVqmd++/41L9XpMJNq0UXZEwZ96NjUm0rB0GBuQYleTfHNlIe21Tq3aejPMxRd+TRfH1JGF1wwU8EP4ivA71SQRjCZERbPFUywSASYpBruKZqCAPOYNkgwHbOEkk2fO1bQM/lQs+SLfxEnVsbopd6ye2gyyaZbESOjgAR2MMhRiVx1CeVe6kg60YiqEJg6dHekudqRiVW1Ih8lqnGwf160rTL3oZOJmdWT2UbKtjEHyaW6F5C0OS1uAGWXw4OoxmAWTNkqSkmZy+pMBjDzFgytudALc8MPEtGlXDAzgTEdgAEyHUQf5YcGzVrYEqZtkBZikjT+DB3SR5BgGFi9+Eob88IzzFIcxO3lj4uEgIsw/dI02NBi8kCbZFTiEBys6O3mMy1lIeEs3foIfdGlnMG4xtqQF80Z6DDaxn+WF/II7zzg/SEKYjLmHuqlMNkicbJIgfa03SReTTpey4J+rnNQldJF4q36ixLfwYBKnocRTPwy2SGSYNGxLkIUFg7q1La1DMInyYGTKKjfxkL5xOhzmyBghsAA7TpPTlvOZGD/SoW2w7U1bpO3ytPZhNKgfpL9MuCweSId6Y5HBeKHjjAWWJ34wyDBzMAccWolpMrbA1C4TiRH5Z5Fh/Qoyb7z5Vvjx/10T/vnH3wW+0oWBJjTYqn/o0Uf1oylX/PB7qsYTl4k+Tl5pC9Sd5c3C8CTfuXDXhKIfmM4b/3KzTshXX/mzLb6wFwXNa43rkrzE7ZtI2b4h+YrbFuUlLmVmMcxCx8pg8agX2gKLitIY0tOSRkBZWaixa1Evo8ts4xN0yjKWd+oR06B+A6mnmpqnOC+xnX7CApqPK7BIoT1l64ARQP4jYdfFVtR2Yhrl1WGcZxY264V5pkzJeJrMH4zFlJu06YNx+4vjmz2uBxsTzM+e2fEkVVcVyTth87U/w5u82nhH2gik+PCDFCI7jsVpltefqJO/33JreFPOSqCLz4IWXXrqEmyy9SN5i3FCHYtdJOrR5iTLo7VV7lO/4v9+E/4o0lH7uAhtl3YOo/zAQw/JDRAfhW/IooV0wdD6AKp0ehBQ2gRCABhw84vLZ/jztPTTGMVhbKyGFvkkbEwPGvQdxnjGCMYowwA6WkeCGU8rZ0w/tlMe1CNQi2CcQ0hgZYjDFWK3PFaE38mp0qCJSf9nGPgiDKBkuM0ceZDK4J8wQvnDZHKdmchKlwNHXKBj4RI3OhaGCs9ElbdUWA2RhCEP6zeXxMl4Vekjm+cqSMUaOqQZxJB88Bcba2S4xZNuHIYGzGAam5g2nQJJU2xiurE7iwrLQzoMg0ohhrQLnbTIW9yZjT5pU16TmuOOWzo8aZlfIeE1cOoH/PLll3qBkcpl0nkhjOFuGMCox4YyYPDXesssPuIw2NN1HdNl4LKTxYQ1rLCXZQgHHSQGGWGyBsedwTw2mv/M4il2x15euWFM+cNYmun2qZ45fqyceFk61h4tuNHkHTtMKX9mcKPe+Esb80swSCTqcZjEnw98NNC/2M8mQz4M0kD6mzF9pENdKmai8gJzz25Wl6LibHTo4s8EjmTcDO4Y/OzJdm3aWHwmYaTr3C/MYUrUIo6R+327yY7I1hjDOF/cfH0jF75WBvJKPHah0rqpVg57stCrJZO6Ldw0HxJfZ4EMJvnyZnlPty2jbfHIF24Y+hU7Kbabgpv5af6lGtJ9gTBGg2d5dUh4M6hA8YeJ88VCLN+4YnHjZ756SIdhIZU2Fck7YXO1P2ga3mn6CCpq5Jh/CEeZ2SUtqz8RTvWTBRNwwcDEmilVP+YoT85v8GeGcHEe6a/sirZtKSpRwmug8kderK/CUNNXqe/ioiIlUxoruZO9brKrG6eBnXC5TJx+Ln/c0mM7bpYudmjQH0r1CXG39qN1lKOeiRsbwlNW2lnc1oxOHLaq7HkZ3qQ/ajfPpG32pKMKJOJubgQx+7b6Cymtu3LoawVbWmWljx8mnb/YTQNkGg3h4rDWkGI3wou7/GcjAZ/ScXgvJ/9b5Q9dMaYrnbxV6q91HBph2uBn/vhZmNjN4uTys3DmZ2HTdM3dnhbe4pfnbv7x02jglqYTh8NuYeNw2M3dwqfdtiW80bSnpRXTxM/csRfqZ+HiuMTHmF/yVkI/n3scR8NIM0nYAaOQtBFLK03HQhkdC5fPPY4fhy3EnTBxHEuTp7nHdOI8xHYLY3FiP+zmb/Z0uHQ+CglvaaTjmrulxfPAfv3lAMnocNM/bhVd43f1nk8mMaSZI0UHFfOrX/w0FBcXiS0x+ejGebOwcXnS/ugm8lUvdGS5+YKDYnxunfSJlw5vNPM9y0rL4liYNO187oQzP6ORPEvGM6OVKxx+NguUjl/6LVdcQhjtOLS55YpjfhY+DhP7YS+Zpy107vTMNx+tmE6chsXL9cxHKw5rYdI0k7znnmPi+NiNBvaYTj73OE4c3uLH8XAzE4dlJ2e6fEaYJwZm1fztafHsmaZLuNgNZo+r78aI6gj626j0cTAShp6+ijoD4b/7zcv1rAV0La2YjqUX+8dusT2OZ7Rif+z5wlj42N/i4mf+ZdGw8DwJn49WHK4q7XlVGpqrSsMG6eiFdPWqzKLTNgQYHphIxo8dI6v6OpWu0mDp+NMRcAR2LgS4WWTSpMn6FS9UFJhYUEMqLirSMwm2M4F7PFFtSymNFrdgDB85Ug/zohfKNVduHIGdDQFrz2zh8/ng1XI1JAfIOExtfpVRJuurHDBEZRB1FaSnXYuL5XxEty0+zlAZae6KNKxOKqLSkJPhLcrq8ArDK1y5mx0AAZWkwfDWFB3ecaJIX/k6vDtAKT0LjoAjUEEEbOAnGvbkarZk+zAev+NwFUyizOBIv/hj61ON5EEmjjLjuKcjsKMiwI4VH/ZBIstfZZq4D34RfbUyy/JF0zIsK8Lw5lVpoDCMW7FhCDOn2G5hYrfY7v4JAjEmsb1QfAiX1InVgsX0pyPgCPyvIhBvFWKvUYPRJTFMChjcY+Y38a2c35gxsEmocig7FUdg+yPArnZ28VbJyX/RfbWSi7PTkcvD8MoaJ83tStFiNiu2W6ljt9ju/gkCMSaxvVB8tliBWER/OgKOwP80AsbMpsdtc69KcOI0t0d6VVkWp+0IgIC16apoz0bT0jDEzd3e/Vn5CORmeHNxY5WftlOsIAIl1VIiwakgCQ/uCDgCuzACX8Sk+UWkuQtXoRdtB0Bge7Tp7ZHGDgDlDpWFLRVU0rwUXJb8KbOVsetLys39E5wMmzRmlYJPtukoteybWxwBR8ARcAQcAUfAEXAE8iOQW8Jr4VFrMAYYHouDCKbqENsJ7/5Vj4/iLECDtRtHwBFwBBwBR8ARcAQcgYIQ2JLhVcYVvjbhqmLeytyUsvsnMEQwbw98tD5sERKlnbb6dkkaEX93BBwBR8ARcAQcgV0JAXgd7gMvxGzB8NaSL2bw3XSV5gqhUkxcIRQ9TJUhwGlovqbEpwCb5PnaFonzlS4+cYihMXgdKhT+4wg4Ao6AI+AIOAK7AAIm1OPT2vGX28oqmjK8FpHPM7Zv1y5Mmz49NGyUfErO/Moi4n7bFgVdsgAAQABJREFUBwGY3fnz5OsvUsFt2pT+xGCcgzbyqdC5c+eGWbNmhY4dO1bZdURxmm53BBwBR8ARcAQcAUdgeyEAj7Nq1arQvXv3gpLUD08QEikgzC1M1Rj5sMGiRYtCffl+e2VfvFxQrjxQDgSqiWR3vTK7PaRyO3bskCNMidPs2bPDxEkTQ6OGjfRb6y7lLcHGbY6AI+AIOAKOgCOwcyIAr4pkd+WqlfJ1uh6hg3yiuRCTZXgJbEwvz7nz5oUl8rlKvqDjZsdAoHat2irZbdq0aUEZWiafGJ0n9bh+/fqCwnsgR8ARcAQcAUfAEXAEdnQEUN1kN7tQfojylGJ4d/QCev4cAUfAEXAEHAFHwBFwBByBiiKwxaE1I+Bb4IbEjvcsVK/a63DHqzvPkSPgCDgCjoAj4AhUDgKF8kOk5hLeysHcqTgCjoAj4Ag4Ao6AI+AI7KAIbPmltR00o54tR8ARcAQcAUfAEXAEHAFHYGsQcIZ3a1DzOI6AI+AIOAKOgCPgCDgCOw0CzvDuNFXlGXUEHAFHwBFwBBwBR8AR2BoEnOHdGtQ8jiPgCDgCjoAj4Ag4Ao7AToOAM7w7TVV5Rh0BR8ARcAQcAUfAEXAEtgYBZ3i3BjWP4wg4Ao6AI+AIOAKOgCOw0yDgDO9OU1WeUUfAEXAEHAFHwBFwBByBrUHAGd6tQc3jOAKOgCPgCDgCjoAj4AjsNAg4w7vTVJVn1BFwBBwBR8ARcAQcAUdgaxDwTwtvDWpfcJxCP6Xnnxb+givKk3cEHIFdHoFCx+NdHggvoCOwgyPgnxbewSvIs+cIOAKOgCPgCDgCjoAjsG0IlJLwIhFktcpz7rx5YfGixWHz5s3bloLHrhQEPhcqderUDm3btAlNmzYtiOayZcvCPKnH9evXFxTeAzkCjoAj4AgUhkDt2rVDmwqMx4VR9VCOgCNQVQhkJbzG7G7atCmMGTs2LBJmt1mzpqFGjRrCAIdQrapy4HTLRQBmV9YhYd26dWHlylWhZ48eoWPHDmXGmz17dpg0aVJo2LBhqFu3ri5iyozgno6AI+AIOAIFIYBgiPF41apVoXv37qFDh7LH44KIeiBHwBGoUgSyEl7TQ5o+Y2ZYsmRp2H+/vqFJkyZVmrgTrxgCLEpmzZoVPpk4MTRq1FAlvbZQgZLZkezC7Hbr1k0Y444VS8RDOwKOgCPgCBSEAOOxCRbYebMxuKDIHsgRcAS2KwJZhpdUUV+YM2dOKCrqHBoJs7t67brtmhlPLD8CDKS1atYM7dp3EHWT+apykk+1ATUGJLvG7BLXjSPgCDgCjkDlIYCQiDGW8Za/fONx5aXolBwBR2BbEFCG11alPDdsWC9b4PXC+g0bfbW6LchWclwGV+qkrqiYoDtWll4ufqgxYKxuKzk7Ts4RcAQcgf9pBGxsZawtazz+nwbJC+8I7EAI5LiHt1rYKHq8rrO7A9VSJiswvUjh0bOuVk4NMRi7cQQcAUfAEahaBHysrVp8nbojUFkI5GB4E9Jpdin9TqjYLbZb5mK32O7+CQIxJrE9Pz6ZUML4unEEHAFHwBFwBBwBR8ARKAyBvAyv7IUnFIzHgr3N2PUpdrnALOsW291foKsKfKxOrW7s3Z+OgCPgCDgCjoAj4Ag4AnkRKHVoLR1K+SqEicbo5rO7fwJdFeNjMKfryd8dAUfAEXAEHAFHwBFwBPIjkJPhhbFKmKsUixVLFrNeWYtEiu2WaOwW290/QSDGJLbnwEecohAWwJ+OgCPgCDgCjoAj4Ag4AmUgkFulQbiq3FqisWtstxRit9j+RfhbmvEzzlNstzCxW2zfQfzhdp3jtcrwpyPgCDgCjoAj4Ag4AgUhkJvhFa4qFtYqJWW0Ym5L7KnXLRy2s7/kOpPvDLO6ndPfPuWnlG4cAUfAEXAEHAFHwBFwBApFIKdKQxJ5S8YKNtKYrdhuicVusT2XP5SgVc0IZi7ayr5qWp/n9Yf+ZqFQOn61UL1GNbm2a7PG1u/xis1MnKfYvrP4Wz631zN93Y59jW97pe/pOAKOgCPgCDgCjoAjUBkIlMHwZtQaIg40lvpmnbMWYWFju+Uudovs1atXD9Wqy22y1arrvbKffy7s6+ewoYmBuaopXxbDcPcsfzF93GvWqCnx5X4Iibt5Mx/N2BDGjBkTps+YEfbYo3fYvdfuYePGDRIyoRvHz2Yla6lY/rPRspaqj0+Zt5exS9W3V3rbI52qYuCNblUsCCqDdkXrsqLht0fdxWlURv4qQoOwmG2pX6NRCJ04bHnh47Dbkj/S2VENZUzG+eS5o+bT8+UIOAI7NgJ5GV6GeMb5aiUi1EotyYYNm8KaNavDosWLQ5vWbUKDBvXDJmFqSa56jeph3brP9HONmzZvCs132y00kU8dZwd3/QDD52Hep58qjfr1G4S2bdtInHXh4UcfDdNnzgpXXvHjaJCs1Kx/YcSsTrZHBphg1ssCgk9Nr127NhR17hzq16+vdbCzTazWbtL5zudeEXxtMq5onHT4UnmTirb9FXO3vBLP3NI07N3CWt4Ib2754qs/DUzWhuWGj/KXjBEleYKOpWv5yfUsrwzpOAldGRt0kVx+eXLFx83yVnAZpawszC2uWuSnovlPh7d8GL34uS1hYzq7it3wsOeuUi4vhyPgCGxfBHIyvMx7icnMgPKS2Bj4zZebd2XFXSpkef5J7BryedyRI0eFRx57LKxevSb89Cc/Dj16dNcvvEGuuvjPnDkz/O2f/wyEPeKww8IZp5+uEw+S3lritmT5Uo0/WiS6F3z1/NCuXVv1b9a0aVi9Zo1Kf0lNc5spRvJ1svz518CZAhE2Xb5MUTNlTvzTcbYNn7LxSwpjuaiap03Ei5csCQ898mj46OPhYe6CheFP118X+u67T9UkWkVUrSw2Ua5evVrbRu1atULjxk2UeSJpC7c12YA2KjTr1q0N9erVE5p51OKjdCw/cXqWB3vGX9IzNwuffjd3exp9e6bD533PtP28/pKA+Vn+pPhZk/WLHbO+W2eJaRpZFsY1IpwtTFkpGBb2TMeJ382uZSwAk7LSNb+NGzfK4nyNvjZo0FDGteqZ8SUCMBOYz9Ru3LhJ32pJW61Vq2Y8zBhJfbLI34wEVN745Djj5a5irB5WrFwZPvjwo1Asi+6uXbvsKsXzcjgCjsB2RiAnw6ujq/CFGT4xylKGgRQX2L0tTXn+QlNUD2rUqhGaN2+mzO76DevD5KlTQnFxcaiemdFUNWHs2LBJJgmYk7HjxoVjjzlGmJRGYZMM7tWr1wjLli0LEydN0kG+W5euoaaE+1wmQvv0LoOlTQQ1atbQdDeLtJicJ/+T/EswMUlJmSyIh1RZ3WyGJYgYJhVCJnFEGi3qGNVrysQl6ap0WgIkVAlrNmKaKQ+f8v2NUlU9jSEYMvS98PxLr4aLvvaV0G+/vqFlixZVlWSV0LXJEuLjxo8Po0aNCXPnzwuzZs8JTZs2CR3atQtdiotD//79Qn1hVOPwuTJEnaeagwb7ZOKk8Mqrr4VmzZqGL591ZmiQRwoe01+5alUYO3ac7mDApBz8pYN0B4O2C8NMWNr2hE8mhkWLFmmbbt68eegmk/0evXsrUxPTs/yaG89p06eHyVOmhBXLV4Q1IqFv2KCB9rG9+uxZKr7FWbFiRRghi9CFCxeGVbIw2K1Zs9CpU8fQZ889s3mibVj7WLJ0qWA6OiyVZ+PGjcNhhx4ijFmtMG/+/DBU2k7dunW1HJY3nqTFZ7Hr1a8Xjjz8cFVZsvTjcGaP/WbNmhVGjRmr+fvss8/Cbrs1C507dQ5779Un1KlTp4D6+zxMnTYtTJ06LSxfvjzBpGHDUFxUJGXcI5sX0rYyfjJxYvhE6mBhpg5aSB107dpV6mD3UhhaftNPRgDGDMzbAwaEIe+9HzZL+c847dSw7z6yeIwDSBgr74B3B+pCE6a+j9TXiccfl6UDLQtHHfzn8ScDeKwVxveiC74a2ku7Nn/C7gpmwoRPwrFnXhj+ev0vww++952CsN8Vyu1lcAQcgcpFIDfDm2HWGKyzbJtYVMU2M0iru7mRJ7OX4w/TsHHTxtCiRcuwd589wnsfDguTJ00OR8gEyISJVGWNTLgTZbJh0sRtsag9TJcJfB+RMFYTyQd6ubNEbYGJuV/ffXXyYyJJm9q1akvYjcocY2/QsIFOOOj7xmWpJX6bRUq3atVKmfhqqXoFzAdSlkitWMiTO/kVIR7h1slEA6NAPtnuV33hcspvkxzBspjF9jLiEyyJlNgq+9cmShYcM4XB6Nmtazj5hONlcdJck8IfY4yZ2WNGSAPID2GNnj2NkbAw6fhGH/c4DnZ7t7i5aJmfhYUReOvtd8ITTz8bpsqOAUxf186dhJmcHF57e0BoLeU6VJi88845W1ViLF5Mx9xID7u9Ewa32bNnh1vu+3e49PxztG1Z3PhpcWC0hg0fEd565x1Z5E1TtZ369eqGffbeSxle6IHty6++Gh7+zxPCaC0Je+2xu5IaOfa/oZkwluecdUY464zTswya4WBpIPF78aVXwgsvvxJmisrP8hWrZNFYMzSStt9M1IJOP+WkcM6Xz9L4Vo+fSriHHn0svDt4aFiybLkw7fVEEr42FAvDe8apJ4fT5K9O7YSppC8OFcbtnYGDwmyJt2zZitCndy9l2umrq1auCmf95Jfh0O5F0s/l8CiYSQlYzLZu0TysE+ll5w7tw2GHHKJ5iHFK261spHf/gw+FSdOmhz169tBFxXMvv6o0TznhuHDh176aVbfJRQMm+5n/PicLuJfDnLnzw1Lps3Ukrw1FjaqZLH7OPPWUcNaZZ+jimvjg8vobb4b7Hno4LFm6XMrXU3v+42OfC40bNQxfPefLgskpOjYZ7ul09V3KzipppUgo35L2NnPW7LBBxqOmAwbqQoIzChbfnqQ9dfq0MHDIUFHlahZmiUpRv/33CzDbFsaeLORefv2N0Epw/WTKNGkXp2WSLVvXlfhGgwhmN7yVSMY99iNvFsbq1MLaM03b3O1p8XlPh43TsvA8e3TvHl587F+hS5cuyuyan+UHmsQ1k48O/hYHu4WL7XH+cHfjCDgCuw4CeRheGQykjPyVUuG1McWe4JDLnsstG1a2gIWRRCpUXFwcBg19XyVdTKRt27ZVaRKHzubOmyeMZwOV3swQZgXpzF577aX+GzZsDEhf1q/fIFKvbqGpSKOYSJhcNGn5QVI2RSRcgwYPCvPnL1AGdU+R5BxwQH+Z2ITBlYNusK/8Gz16jPyN1sNuDTNSn759+4a2bdoow8xEPl8kVy+9/HJoI26HHHKwMDpzwvsfvC8SrmWhnjC8+4kUdB+R2lQXbjgefCuOTx5MM84xtEBaFYbyku86dWpnmV1LhwnBJhie6S38ZN5JJlybPOwZTzBGz+Kn/SwOExRh7N3ipcObe/wcMHBguPWue4RxaBq+8fULwyEHfynUFWkg0vjJk6cII/y0MHlDVNr34x98L8s0kZbRj9PFHr+TFgudXsWdtQ3UEmktJo6vDpmf4SNGhgu+95Nw2pGHhG7FRcJMLdP8GAbEmyZM3Z333C/bt53Cz0XVp2uXYo09deq08MDDj4R7H3xYmaXde/WMSWft6F2//9FHumj7zmWXqBR7kywwP/hoWBgl7fzRJ54OvXfvJZLRpC+h5nHvA/8OQz/4KBwu7frUk05UCfjkKVPD4089He4SZh6p9UknnqDlGiCM7gU/vTp888yTQxfZYl7YcLEwjU2z7aBV61bhrfvvUDUPxYoGkcHzo2HDZLdmgkqqrczZjKcshj/97t+PPKIM+PW/ujrQh+lj80Ra/5hINx976lk5nNpLJcyQSNcPbjC8g4e8F5o0ahxOkfJ1LS7Wfv2h5AdMnv7v85KnrmF/6cMYpPb3P/RIaNOyZbjqZz8NxcVF4hqkbqQOhAl+7MmnQzdZDIJhWYa+ygJ53PgJ4dO583RhzgL8E5HeT58xU3FIx2eRtv6z9crEImWfJYsKpPUwvBhwATvGu3Fjx4fGMl41btQotG3dUnfMCJMLA9wxhmscxuzmly9cXGeUK20svtFL+8fvucJavNgPOzsytD8zsT9uNkaYf5oO7hanVBmkXZqxOPbuT0fAEdj1EMjL8CrHYyO2ljt5KeWk3JwNGoX5JxCKuoFIWTt17KgD+6LFS8IMYXI7tO+gg9eMGdNFEjM3XCi6uag0TBUmgO1Ztk+bizQD5niWSNaayzZyB5EWMaFqViQLqBc0aFg/DBk6VOJMDaNlsmnTqmVoJNKc9z/8QOkdfPDBwiyvD9XkCrOBwhQ9INIjzGHCELF9+a/77g/7CNNw+WWXiW5wO51A1qxdE5578cXQq0dPnWwHDhoik9FclVohpftAwv/y51eKNKKH3haRDKAxWoXhE8dIChXjK5kkQBUYmxDQM5wlkii23TcKozBe8KsvEr/WrVurJJstdvyKi4o0FxxqWyaSy149e6r0JZlDqmkdLVi4ULaPV+hE30qYh6bCGGEsLSZ/FjOoS7AA4gAjW9cwpK1kB6B9+3ZKk+3a2ZIn6qaRSNhoNxxizGWM9qfSfl565TWR4tULJx57bDj7y2eWkii2k8UVByXvuue+MFrUC5AiHn3UkUrSaCDppp3NmzdfJKXL9fBkq1atdNuYSZZF2OSpU1VSuEwkoyNGjhRJarJNnuuAH/m+7Q/XKWO1RHSkr7n+98rYxlU6Rxgc8N13771U8mtl3Fve+wj9kbKtP1fKBsMbT9Jmhzk9W6SVbG2Dnxna5d1r7w3zRB+b/rRXnz4aH4Zv+MjR0q67h/PPOyd07NBBo7D4pI/c+8CD4a0B7+qCrrWUnXQf+/ufVKL7obT5W+64OxR16mTJKPOFukLaUHevidR0pTDYBx90ULnSUauD5StWSn5nhCMPO0R1yNGTxjRq1E3UAvYO7wojSxuCqUUlCVxhEBkTugsTS7uCyTlH6r+4uEgXsRJdTe/ddw+33XmnSKsHh9nSjo3hRWpPPo887FBVmbDwMLi9enwYJk6eqgxsWQwv+UeqTb5Gi3rWIsnX6aeepLsLg9/7IHD2ABWVtGHBskKk5JxjIG69OnXDh7IL1lcW05TPJJQLFiwIHw4fLv2gsbqhKrZy1UolZ20hTdswhQYCBfrnRhEetGrZItu/NYyw6dCgXzPWdpb6RRpN35wrfQH943Zt2+muCGkYXeKw6wZ+9OXGDRtJG2yv6j7UC7q4HH6lPghbbj4kDOFYlNGfG8uCpZWM5bjRNqmzZrIoYMHFmQPS5YBtSxlraMeoC5E3DHEw0PlUxu0NG9brYel20kcIQ5+CfvPmu2k4/3EEHIFdD4EyGN7ShWXYYMjgz+z2JKTZy/MnrIw+ykx1LirSgXakTLowFgw8bPtOki1nDgLtL1JWBvknn3lWGd6FixaGNnIbwzRhiNEVTPQwu6i0RjOmpEU6J4P/hE8+CUcfeUS4+hc/U5pPPPWMbiPDOPfr1y/Uql1L0pkUHn/yqdBSpCff/fa3Qk/ZLt0gA+lzL7wY7v33Q7IN+VY499xzQ/2a9XXAZGLfsP6zMGzYx+G8s88M+0n+pk+fEZ569r+iW7goTJo4SSRqXfTwXHag1QIXjk9Z+FUVs0sWyS+TAqoMJ33lonDCoQep21W/uU4nqBtvuC5079YtDBoyNDz2xFPhrtv+qThc+/sbQ0eZNG77+1+FuWikk9h7H3wQHnz4MV20sN36qUjYe3bvGi6SBYzqLmYwYfv9F/93TbjgK+fpRHb3fQ/IlvoyrUqY3it+8F2RcHYRWo+EQcIkNBFJFgfojjvq8PCtyy8rtc2bIZmd2NjunSFMcueOHcLhwrgwYcNAMNlSVp7khTb20muvi6rB8HCgSP/ZVcAslkXYk888E96UrWgWNki918rNIagG/OX314eOQvfXv/2d3gzSpaizTr6/+NW14d1BI8Kk0QNVYmiY2mTbRaS1/GFWyeRPftKGxQUT9RRhpllMwDBgFi1CrWeG6qXH0j6jbXToL/377W+vWh+UFUaRnQjSRDeeeKjsIOVEx/eAfvspk0CeYUSgs/9++4U3Rf3iE+mP4ydMCDC8MIn8YWpUT3TeM7yEulmZ9SX6oc+MGTc+HCQ60+jAFmpqSz9l12X2nE91BwZpLoa2w8HWFbI4aNOmteYX95kzZ4Xv/+yXoZbU932335JleL900IF4q7E8gjX6v+uF6cPNDG2gpmDGmMROji6qxZNzA6gYENLqwOKkn5YGDNbQ9z8QCWzrcED//sJctgoDZLE87OPh4fBDD5HF4G6l0maRxYIHRheGeqTsPI2RMwwwqB2kLVh9T5SxBkxQ6WDhOGnqNFHJWl2SDRuQMy6WHxjS555/MTwhY2q9unW0Xc+XseuEY45KVHtkB4v6R4qOnvlV190Q/n7j72VcmBluvfteYWIbqNpLewl35U9+JAunPbNpstB4QHYgxkveuks7ny39BpWRvSUM+tfLRZXkL3/8g0psV0kZn3vhpfLzIfWA6syl3/lB+P43Lg3nnXuOjg8w41de/etw/jln6Rjxt1tuV/pIvj8TCfl3Lr9EFhinZBe57Aq++tprqirUUsakeiKkYCF12MEH6eLi6edeCj/5/rd1B0ALlMIvW0i3OAKOwE6LQG6Gl87Onz4yli3s6i3BtsJfoiCJrS16gV27dgnjhTmdIlIT9GEZFIeLXiW6uY1EilezRs2wh2zBfjxipGxDTxamtGeYL4P/kiVLZbA6WPVyYXC5OoicVJMBcqUM/F8VadUpJ52k0giYp/Fy8GGsSCvXC8PKtmEdGezHyQTMRHK+DKLFxcWybbpOt/H7StoDZaubQ0NLhPFp2Kmh4sFhtjWi2/j973xTDjv114G3hUgTRo4SdQiZfNHpRVWCySLJDI+twEex3hLfxKU0TXPb1qdNpB1EMvLcQ/eFF156SaVYN/zmV6q/iWQTgzSbSezxJ54Mb4rk79ILv5roI9ZKmhKM5nW//1M4+vBDw09//EOR3jZXxoEFxx9v+mu44dpfK+Ns+e3ZvVt4XlRFYEjPOv1UPZS1UtrA/bJ1/Mhjj4fPhAHoL0zpjddfpww1B3ruf+SxcKAsWo4+6kgjo0+b1KlvpLIwd0jROFCGgfGjnPwRlnckli+//rpIpJYoowGzAzP1hGznPyc6n12Li8KXRTeSq/FgFtCNJS7byN+5/FI9UDlM2mY7YQBOPfnEcMX3RfooDBrGMNWXzI8yE5IuOxy5/NFXPPrww4QR/Vikj3frBAzD9aKkS/u9/KILQneRxpZlyF/azJo9S/rZRMW5uLhIvVF1YIEJg926VWt1M1x4QeedKwM//HiE6NUnNwyQfwzYcShUCqHvuX6gRRmR7qHzi677lw48QKSzjRTDXOU3OuaHJP60k06Q3ZWXw9333KcHuHoLwzxI9I2hef6Xzwj99y9h8IlXT5jYmjXltoIoa1lMMnVPOBZ37AKxU4T6khkO6h12yJfCEGFUb7vzrnDqKSepxPzlV1+TOvgkfO3cs0sxehYvfoIPhh2SqdNnhnOkDdmBsvZyo8wEVWuYoQwv4XTskudGae8wgxy0PaD//rKrsTAMkLJCxxjez2RRDhPNzhWLEvocjB6SUGtfjDvS0iGdxRoMXpJ2dLeosPzwW98IBx10oDK8I0eNCrfffY+ObT/6/neziz5uh+jZpSjceseduqi49qpf6JNx8eFH/yM7KK9o/1Hdbcnzgw8/Kmo6S8JNf7hBF08wpY/L4hg1mssvvlCl5bQBzEuig11oPlhYoXtfV8ZsM5SMMwavvfGWMKwDwpdl7KBdsCj57/MvKGN7gCz8GM8wlPGmf94Wfvzdb2kbos0zbv/hz38RIUWRjC+/0YWN1UPcdpSA/zgCjsBOj0BuhleKRcePB83siJwdETKBbFIxd3sCTS47bmJgDNGl3WP33jqZz56TbFnP+XRO+FSYlbPlcA5MBRMHEiV0DKfI5AQjw5Y7ZNDnqyGMErq8tarLRyjELZmwq8mhuBZ6owNb6tzqACMDw8ocjfSKrXtOpDeXLbFJk6fIFWi3aFzyRiBOQHMX8IKFC0Jn2YZTxlXiMlG2FOYPqRASFSaFho0aqFRBJ2kyxp9mJvOUR5luhforGYhXviHvYMfBrj336B3eEWaWU+JI1MDLDFgukO3p9z78SHRMf1RKYot0ismme5fO4dKLL8pKwVA/QEr3i19do4eBOF2P5A7D1iR6iJy+5tYEM/vIBPW8TM4Xnv+VcNopJ2eZw88P/Tzcds/9ynwSlvqUrJcyHGBcIJJgFiBI75lkKZvWTyakvbeU7VwYAw2/dp36sgXNoaEiObT1NZE+I/k1c5AwbKgNMGHCcNcXtYgXXnk97CO3BZx4/PHqTlijb/Hsmc1DKs/4w6DDDH7jsktkoVdDGM3h4ee/vlYYmxaqinPsUUeEL595pk78xtgY3fhpaVgYtnufeua/KvE+9sgjpD/11uAwVitEZQDVDlMVsLgEIItI7SkLzIu6ZdpJYlencn+QZiIl7t2zR2AxWYghH6QLzueefbaOAy+/9kb4nSyadpMFFwuvvaT/f/3CC0rdcNG6datw5Y+/L3VdPatCAy0rl2GCetTDclBvpkhwj5LFGbc9YPBHbeayiy/WhetQ2a345TW/VR1ZFtbHH32kHvqDyctXx+YOA8rNDDDU+2XKjaoITP9Tzz4najQfqGoJiz0EADRkpLVs/aMC1LJFS1lM7hFel10GpLxfkts8aHvoebOA79G9m46B7FSRJunxzGeI98xzz4evySHN0+WmCGPKjzriCB2ffiO7NYdIGty4kRhRa5DF59FHHC4ChHNVWo47qjnvCy6oqSA5BQt2RAZIn/mljAmoE5CPptLvTzj+WFk4viIqEG308Bnxp4ga0DPPVyQfnysupcvGPeHrdVz5zje/IYvorpBWM1/6/nOvvaU3V+AAprTBvffoJbf9HK1Sfdw5LErdz5CFD3atB/CTenDjCDgCux4CiRgiVS6GzLxdHo/8Y2oSsTz/iAY3ACDxYLIfL5KK4TIwFXXqoHpjDMgMckWdi0Sns4UyoR9//LFuH3eQOOiVqjQ1kyFLFrfPhAlG6oF0gPELfVSTeDD5bRB/7k5FV46DTEyiTEz8tWi+WzhGGIOTZLC2K6uACPpcfL9m7WeSX9n2FSkMUi62hm3yIJway4y92zMquzmVepbhr0x3qcBV88IEwYKEIsDEYrKTjeRv5ao14SsyaZp6AkwCBqZomkiz+u67r0pEcTM/JC1HHHKwbmsjVcRA/zORuKPXZ8wu6fAHo8VEarqm5AmDTncjYcr5uh4GuHIZPl6iOpSyyMEYw2Nh7Z38kQ8mO3YJMPPYQZADZeTJ9Do1nOSLbX2Yd8MDFRgWBEiV2TnA4Gf01aHAH+iQznC5yYFdj44d2oWf/uA7YT/RVaX9ohLADQ5I+Kxv5CNNHggD1g+LRJzDeX337qO6zGznYih3cnVfCUOoHtGP9Rkrb6HlMgxYcA6Wa8poR4dJ/aNviSmPjsUn7Ljx41QaR5v4wTcvC0ccerBizBVzz4v6EWU0PDhUysLjhOOOzbZBSwtsCYe+NVvvHwwbHvbcvVf4iuzwwPAbZrS14aIvjUS9szB3SAX3yeg8ax288qpKQ6FruJBPM+CK4fDbRNmV4uAh0l12h1AnQTWKGzPGiZoIahMYo8M4iN4yYxLXt7HYbyG7C8NFGkm7xCDRnSKH3ri9AQYYtQzGIxbxRkcDpn5miVBhtggMWLSBA3jwh0E62lLSQS82a6Q7kJd9995bmV0Liz+60dxsY/2QsWmttP90+pRn9dq1ev+10SWNcvMhgg8zhqe982RMB88ewuiaLjRpYVRVRQQRLFDM4AdG6fzRr1auXKULbwvrT0fAEdg1EdhCwptM+QxfMliUjBdJ6eN3s9uTELnsudwIKwkxCTaTQba3SBHfmPuOHM74UBkNJGtcQQPDCs3OoiPZqWN7lfwOfe89kSwsli3t/VWCs0GuKGNS1vxCVw0MB0kkE5JN2ngxSTH4NZTtWiQo8+YvlK300/SqJwZ0GxCZEAi7WqR+mgYEMyZrpWzqzA8vSWET9DJbiolTEjOXPZcboc3dngmFEnd7r4In5S7BrKTcJMUkwkEwvmyHATPCY9AzZds/1m/ED0yRWKIWMVXu9oXJVQNjKP9grmEylOnM0CIOCxdjdKkPjDiXa2AcYUxhGpD2MDEyCULT8mpE2DGAaCuRopqUkwnwM5EeoY4hETQozDN2K6/RSZ6UI2lbRndrn4OHDg3X/fFP4RjRO75EpORsYyOJHT1mrOhOPxluuetfqnZz0gnJrQm50rFyItn9t6iGvPrG2+GgA/qFb1xysUja2moZwJMdlCbCRE4RyR+HfTAW1+gmB6GqqbQONyu/+Zf3HD12TBghOvq9RBq5775y96wY0kgbwzPtju7w9X/8c+jUoX34sWy3cziSnRc+RvP4U0+F+0VXHEbm6xd+Lcv0xjSMLvmmzEh2UY0YKEz4/vvuLdL0S7WtxHlCKvvbP/wpHH7wgeEywUzrQNo19w4/9uST4R933C1ttZbcHHB8nJTaoUNbIT0OMZI3xhvOCmga0lDWyZjClWNz5RwCNIuLirQfQIBDa/QhJP3ssKBSsp/g9tpbb+vZhhbNW8jNEqMVD7upAyk4B8n44E5cjnTmVsuOFGMqEmwzhg8LyeKiTrrTsVbyp4siLYswxpJ/jIXFbumgQobhoNhZotLz3IsvhSIZr7n1Yr4crEM1qKvQ5f5oMwXlQ8ZlDquid54dC41A9KQpMUawOM7mT9xoYXRZDOMKd12/KCopz0v+Tj35JFHTqi1S6g/1rvFvXHKR3raShPZfR8AR2FUR2ILhjQtaelpKmBNzYyxJmMzMqCJvMC+F+yeMDkxGB5GiwKQwwLFN1bNHDxlw68ukkVCrLYwLA+aUqdNDfRkAUU1gUG0okwITdQlzZrmXPElUzZ9lz7zkiVSLD1Vw4wOHkD4eMUKvFOso+eDuUCYatnqnyX2Ybdq0FR3Q5GBJUuYSQtC3tC2ZEjdjwkt8KobPlviSsuFbkovtbJPiMMkgqcJkJxmxJ9Km2mGtTLzig3cpg24sknSY3y2MzU6RB5OqOWfLbWTNwd4lHnkhDowNEjXa1IRPJukBxy7FRepnEzVhUKdAjw+3NqLDCgOIYZLVNrBypTIvuCWS0ER3lfckb0ni4KE4WGYJUBGTKQv4vP2O3A8suxnHi4QSRitZnDVUqRz+qPvw1amjjzxSJXtxPkjS3tGbvff+B2SSf10PJH39ggt0kQIjZoZt/yYiqUMyzfa0GcKAHQsFrvSjj7BgwMT1beHTT8sDW+wD3h2kzB+Hxtimxw+TpmNx8DM7ZR+UuTbuJDmcBbNL3tDl5LAU4ViwII09Se6LRp0hF11oUt9gcve994c3BONDJT8cfCQO6RCPMNyZS5q1RUL4ZbntIlsHsqtAGQj3e9H7ZMxIPhjSOJtfzbv80CqQxqKHzYICbNk2T3ykfQq2jUQyi643XzLkUKXdYMLiht0CMCctytpnj97hrXcH6m0P3MrwsbTZ448+Kqt3zXkEmF7qi3aazxCGAcQWkYQzrHmiSkGeuI4wMZkxLE+7JiXrfvR9Fgf3yMHTX113fWgtqkLc6dxOxk8WKqa/TJkKzgf5LdcwRlgucgembKis/OoXPxOd7H9JH3tXd3NY2F7wlXPC8cceoxENi9xU3NURcAR2dgTyM7zZcTNrkbLGdit67Bbby/eHAUQHjJP4qCywvcTk00e2Dzl0wtYtpmaNOrrlxsXxDG5s8aFXy32+xnBa1pio0avNDoJkScZDJjP0RnkyPqLSwGl2VCQ+Gj5SJWEcAEHfc9XqVWGq6Au/9ubb4YZrr1F9YM2HSAoSEw2wQh81BwZxGIgSY1jYE5/YbiFjt9iew1+8o5QtQBU/U3nS19yTDHrT3B06YeJEZaKYrJlEwJzDiNzG0atHNzkMVXKoK0W9oLLEcYS81mc6IgskDsRNlZsNXhE1gK+KLq4xFYSFMRgwMGEiUFGAmbEDNajZsOXMgSb+0JWkDBiYZNJHQpSYamKvpdK1WBK2NZMnzBzSy5rSfs3Qns1w1RltDYYol7E0FyxcKMzuv5WZuuj88/T0vd0+YeUgPv0E9ZN35NYA7ukFg/jwFhJK7ostkhspevbouWWScUVs6auSSK58Y8eGA0SYbHsQNQSw5Z3FiN1WkO23EhY8VslhOST11vLj/LNLA/MIDXYJMOjez5A808cZV5CUYrhO73aRjo8WXdivyBVl551zju7y4BdjjISVHQgknja2xP5IRxmjWNhamtAwozsB8oKO7fRZs0VKfJAyztQd5SGvtJ2p06cr841u81SRsNtnu7mSjHDUF4d6MbTlrrLAnzJ1ml4lVr9uvbCnuNkhrnryXldosiD6TNpPSdvU6Nkf2nVzUSlBao66DlgagwxTPn7SFP0wiWFcDh+ZpWuW9bJwQgBxlugHo25RV26aQKhA/VFu/qjfys1H+SMi6dIg6Ftt5UaPc88+SxdfYExeMGBu5bby+NMRcAR2LQRiDq1UyZK5jN/MgCJWGa6yYdSeBErctsZfYjLQsB3WVHRn35fT4DBM3Hygwl2ln0zwu+3WXCfjIR9+rIdsOrTvoBMPiVs2GLznyTba2ImTs8wyfvwxEL/03jBlvIgDc92kSVM99MLBBSQtf/rr38LNf/9H+N2NN+l1TRdfcL4yu+iqsTU5Re4KnihSZiY8NUIY2kgKnn33/URPzRK0ZxJSA247fiVlNbJV9UQHlqudYgaEtGC4+OqWchSZxC0MUsBjjjoivDVwiHxN7G1lDplEwP5dkVANev9D/cJWfIsBacBQlLSshCjxkoNtiY/5w4RwnZJNTulJmbwwwXGfJluXMKjce3rXPfcG7o3lzlZ0IB/7z+P64YL5MtGjE8qdrmY4tNe9WxeVDKMSQDzuIOWk/F3/ukdUbz6yoKprDOOzUFQnBg4eLMzLtGTXIZOPbMCUhXLAmLDdaoVHF5NbGhYvXqpfY+NwDxJHrqmaOnVaeOfdd+W+0aWqAqRSsoimMRNL5ZQ6zC46wN1EdxR6c+WjB1wxRf7HyJPrrGz3hKuv0GMl/JNPP6P55wDfR7IQfFYOIM4T5plDTO1EZz5t0HmuK9LAmCG0fLBb877gxJVnHNJq1y65Xs3aCh9juOaG34e77r1Pw8S0LQzb1L169tC+zO0c3F2LFJL+9qlc9/Xmm2/roTMYZlOjmSM6sX+46S/hxpv/plcFQhdm9x7BBDyLZBcHTPigBViACeoi3H+MQce4uHORfhHu+ZdeUiYzWwdSt9zSwYHVbsJMp/WRKTsGxpNDUjChffbYQ28lQcLJYS4OfHH2AL3YnpIPysoHORgHMWvWrFZmG2YeNQUM6kM95WYOJLOrZQHQvl0bvR1BPeWHhRqMODTQ481nWLgdJDc/PCkHGGHIMTDoYPGMHKLrJqoH6MybIW8wq1Yf5s6TOqfvxmae7Aag44wqA4fY0O/l5h0kz9CwPlvRfNBBTFiRTU/osTBkJyZtaJcNZOfQxijSRdeeel4o9wPzERAOtKLewW0/GMtbmpa/OwKOwK6DQOkRK2e5kkE88cpnt4gV99dDDyIZveSii+T6p9NVssE2K/q9OtAKp8NAj6Tme3JXLt+L5yaBmiJVUwlLhhNC6sXJ7V//8uc68Ndv0Ejjybgo5nNltEa98aLcv1tbBurkhgDuVe0oNwZ86xuXy/ftT9Mtz3WfrdPVP1K/VrLNzeTG4Ihk4Pa/3awFbdKUL7tl8icuZ0q+TxZ9vjoiaWGQRfqjTEwMh8aMHWK7espP7BbbzZ9nxt04wNirEu0cNpojE4NN4kYaKckHo8fp9UnmxtMYHT4RPXPm7PC3W+8UHbmP9FqvCRMnhWFy1dz35G5MDsyYIQ4fGGkiag7pdJgkx0+aml1cmD/qLC++PCRccN45SsbSNZrx8wC58/WXV14hzO0Tevfpk8+9KHf5JhI6wqEXerHcDXyibIczgVsaSBsvPP98ZcZGCVP05sDBypzyuV1Mhw4dtY0xSXJPLozLJLnf+c577gvPP/WEXne3uzCRufJG7VF1tOmBw0cH1HWM2SEPbM1zVR5fIBww+L2w397CgEiE4aPGaLxTjj9ODmQdp30jpm92vlJ41Y3/DOeddITeh/rOkPfCHNGtriftvq70mdHvjQ7XXv/z8H/ST6rLzSYcBONGjfv+/WB49oWX9UQ9N1tMlwNhbWRbmiu40lu+LCwpA23hufeHSx0Xy1tpA4P9yJPPhi5yAJVbLuiHlBPMeHJYCyaEj72gNpA2Vh4OunG37itvvBF+dOVVqnfLwmrMuAm6EDhg/77yoY0zVYcTGixkx0+epswYnzDH8HGNx//7Qugi5wAmSj1d+etrw6yFi0NDYdYbyJgxfPCA8EdRU/iZ3DBAHZwo6hPUwUDB7h25Emx/OcHPWEQbhkE8+fhjVOUE2pZP7GZQk3lO9EU7CKNqdxYnahMwZ4mkEyaVmz2eeuEl/fDFccccE1DTghl786UX9B5Z6IEVi6ID5Bq+/wijWlcWm185+0wVElh63CnOJ5M5YMYHUriXODbknXwi0WSn4x+33h6ulvu1j5KPeaBSNlh0lrnp5gdyOA+GnPqlnLg9N+jD8NMfJjttMU0O/pFX6Jqhb1I31Bf37qI/37BhI1lQ9QiHSj0feMABqoZTaD4MW7AbJ9Ln4+h/pCd5S9rQp6FT+w5AWsqgojPg1RdlB/CmrDvMLfrGYPGOLJ4eeOiRsEHocvi5/359Ax9L6SxXn1ma2YhucQQcgV0GgWrSwTE6EDCwDJDrqIq7dVPJJpOybetVdYkbyEBZq2aNsFEG+NWr15YaSDVtmTAbNqivF8KjZ8tWZ2wY81jtN2ooH4kQ+1q5fJwJWZlmGRG5bQG9vE0iOiYuZcbANCOxrF+PbbdkAqshEgLCcQiEJyMqTHLD+snp9lUcZJPJIKGdyZdIY9aLigWMWlUZGGmkXuPk2iwka0hjrO5I0+yj5EovDJ9iNjd1KOeHkoIdk8m7st0P08snPUnT6IyVLWEO2vCZXnSezR3SZmfCQcI1UVQbkKi0EYmWfc6WydvCIQl75bXXRHe2cThc7p6NpTV8CGLy5Cmq30h88gSzhB4md9KypcshKKNF+rGJ3TkVjkSRuHywhDzwdTc+gMB2sTEEVp9Gh7AjRozU6+s4ac41SzBnSEWRqFkaMJkfiUrAcpE+Is0+SZhSDl2av9HjaW58VAKpJeodfIAAdQvzQ4+TzxDPmDlD8rtA+yC6pmzRc32S3SgQ59fiUtZBg4RBF4aKxSRhNJxULk+YQPA+Uq6aiuuCA4d8hGKBlHmZ1HsbSa+T3CbALRVx/cdlQGI2avQoHSvQKYaeGT79zeEqdlGOSqXFuPKPW28TCfCw8Ourfi7X4O2RLbvFj9NBtYl7VFEzYgeHT++CRydRleCmEOrFyo8knlshKOsR0qY4vMjHZqhHXdRIH9oCE8kPO0x8Ac7UWqgD2iBf+ONwGQZ1j+KiIt0NKKsOhol0HAkqaadxjsvF173elbpCL3evPffUrzoOHjJErx3TL+uJm7V7Dtu9/qZctSXt69BDDlaVBCszdPhSIO98Op02an6a8dQPEnzyiFoFiw7qeR+ROCMpF3jkf4LR1KnT5Fq198KB/fvrp5SNJvME1xaCEYtFdhvYBbntrnvCGaeeHPjgD0wz+UIHnLHgFcn7lXIv9zFHHZnNTaH5oB/SV7p166pfnKP+kLqDBzfqHPylL2UXrPihssGBNBZqXAOHlJnPZ5PexRddEIqkDrmSkryx4/OS3LrB1YlX/fxnerOHlTOb0TwWC7e1420esu7sCDgCVYRAboa3awnDK7ODMkEwQ5hq8md2dUi5bY0/dLiHErrEZyUeG6NZVhgLv5lrqIQQNJBSGE22cGFuGRDT21cMXPwRHn/TkeQ9W37xZ/LBEJ9whgPu2fipvBPe8p+2844p2F/ykGV461Y+w5vkpvBfG/DjGGk3JCvx1mfaP46bz25x7Gnh0u/mbk/8MdSVGRYx1J+e/s445qKTdoPpyqcbabRh5DAx42d+8TNNGz9zs6eFRzWA3BsjFoe1MPZMxzX38p5xPOwsRGDozMT+ZbmZX64nNDDUBbcQXPvbG4TJbxKuvOInOQ/fGY102iymkt2cLfOXDguNXG5GO98zHWd71EGuvFg+7FlWmNivIuGRynJ1Y9qURSMdFrWhq6/5jS48fnXVL9Peehj5F1f/SnXhuTPXdlPiflmRfJSVt1x+7w4cFH589a/Dw3ffrveKpzP4xltvhWv/8OfwoPgXFxVlFxnpcOl3S8sZ3jQy/u4I7JgIlIhkUvn7XGZZYxaNsSNIbLcosVtsL9SfcLrdZBFST6NZVhiLwocRzFg8nuh11ZB/uQwDrw2+SDe2YIiJJGE4IGPGaPOeDm9h7BmHje0V809i5opvdCrzyWCOMVyMNu420Kf9LLzF5R1mN35PxzG/XO7pdAiDW9rd8pZ+Gk2LwwKG0+QY3MxYOHvnGadF/cLs5otj7uUxukY/pm1px0+jx1LTGHNzs7wZrfiZpltSwiiUlJtwlp7Rgz5/uhgQZre89NJpxfSgmY5v4fGbIzrEg0W6e+N115TJ7BI2jsc7es5mLA1L28LG7qXcpNxpgwvhCZemY2G3pQ6MptGKn5ZP6ol8xHktKz/QMLolcXDFvcQvcSn9WxI+qWv7PHQStwSfOBx2/mJD3vmjvfDHDRyo9eiVabLzg+oYggAO0XH4kcOj3N0dM7sxjYrkw/JiqjX2bmUwuryTN9ThmsviClWTZqKOxhcE2U3igCJf0kQ6fthBB2QPsMX04jK73RFwBHZuBPIyvAlna0MxhTS7TaMMgOa2K/mny2IDvZX1iyp/gja5i23Je+X/5hv0cc/nZ7mI/Zl84ncLY898frjn8svnbvRyPeM45AeTi3Y6rsUrL47RKi9cTN9ox25mN3q8V4Qm4WO61nJxz5oU42LuFq8i6VkcoxE/4zLE7thRUbn599ermkvaL9d7TCvOX+xu8XLlKZebheeZj46FidM0t7Ke5aVncS3duJ7yxbWwFjd+JnFil7LtlkZ55bJwuaiZHzRY6KEbjK78n27+uxyqa6vX3cHwLhKVJqTyP/rut+VTyf1KkYpp4MF7LmPh0n66A5d2lHcLb+Xja3VXXfHj8MjjT4j+7iD96hs3lHCgcs6nc/XT9Zdd/HW9lpA4+fKRIyl3cgQcgZ0IgfwMrxZCBqAMg5CUyZg93sxuz9gttrs/aCQmFxa53Aht7vbMkNBH7okhDrGj2He0yWNr8lNonELDVaRuqoJmWelXZXrQhqFAZ9UOL9K6K5JmRcKWVc6K+H0RaVYkf1sbtjLKZTTQG/7xD7+v0ntuvFgrX7GsWaOm3GEut14UFamUlXzmYiiNxtaWI1886JIeDPlRRx6hn3dG356bTLjSkqviOrRvpwdPkQRjqiov+fLo7o6AI7D9EMjJ8CYsFr+ybaWbbdsvQ55SeQhQJ7mY4PLiub8j8MUjYEwIOcG+8yzdvnjsduQcGGPJTQf85TK5mN1c4SrTzdobTw6mceA0l/ki8pYrH+7mCDgCVYdAToZXpYuixItwV8aJrMFaFqvl/lWLDxVCnbhxBHZmBGA+3OxaCBhjma9U+H9R9W7pwtTmMxYmn7+7OwKOwM6PQB6GN5HtpouXf7hIQrp/GrHS79uKTwk1ZxhKsHCbI+AI7AgI7OhM446evx2hDj0PjsCujEDp+7+spOVxZhbOn9sVAa+W7Qq3J+YIOAKOgCPgCDgCuwgCW0p408LDzDYQzFassmB2C+7+VY+Ptjnlep313UX6nxfDEXAEHAFHwBFwBLYDArklvJZwpPOkjC16WOIX2y1o7Bbb3T9BIMYktlcIHw3szK5h5k9HwBFwBBwBR8ARcAQKQWBLCa+ws3oPgDC7W7BWEQOc8/SU+5dgHmNhrrFbbC/Qn0MXVifKNFu8cp5lHdYoJ6p7OwKOgCPgCDgCjoAjsNMjoAyvKfPzbNCgfli+fLl8daaFfqVmpy/hLlQAvlLEJe5r5fO4fEM+n2nYsKF+x55P3Rb69a98tNzdEXAEHAFHIDcCjLErV64Mbdu2zR3AXR0BR2CHQSAr4UUKyOXbXYqLw/ARI0PtWrVCy1atxK3kc7o7TK7/RzMCoztr5kxlYrnoPZ9pL35z584NY8aMCd27dw9169bNF9TdHQFHwBFwBLYCgXXr1oVJkyZpTMZcN46AI7BjI1BNGF3bJc/mdPbsOWHKtKlh/WfrE80F9s8tVGy3GLFbbHf/BIEYk9heEXwkLNeXNmnUOPTq1TM0btxY6wa32FCdSOpXrFgRJkyYEFatWhV7u90RcAQcAUegkhBgN61Xr146HuscmRqPKykZJ+MIOAKVgEBOhhe6a+U742tEopiDH66EZJ1ERRFgvVFTVBoaNWqkEl5jbHPRMT/bbuNpaiu5wrubI+AIOAKOQOEIMMaiLlbIeFw4VQ/pCDgCVYlATobXGKaqTNhpbz0ChdRPIWG2Pgce0xFwBBwBRwAEfKz1duAI7BwI5GR4yTqd2M2OiUCh0lqvwx2z/jxXjoAjsOsgUOh4vOuU2EviCOycCORleHfO4niuHQFHwBFwBBwBR8ARcAQcgdIIlP3hidJh/c0RcAQcAUfAEXAEHAFHwBHY6RBwhnenqzLPsCPgCDgCjoAj4Ag4Ao5ARRBwhrciaHlYR8ARcAQcAUfAEXAEHIGdDgFneHe6KvMMOwKOgCPgCDgCjoAj4AhUBAFneCuClod1BBwBR8ARcAQcAUfAEdjpEHCGd6erMs+wI+AIOAKOgCPgCDgCjkBFEHCGtyJoeVhHwBFwBBwBR8ARcAQcgZ0OAWd4d7oq8ww7Ao6AI+AIOAKOgCPgCFQEgZplBfYvdZWFzhfjV9Gv+ngdfjH15Kk6Ao6AI/C/ikC1UC3w340jsCMhkPNLazBJFWWsdqRC7ep5KaR+Cgmzq+Pk5XMEHAFHwBH4YhDwOeiLwd1TzY/AFhLeuJFu2rQpf0z32e4IsAipXr26LkbiekpnJPbbvHlz4N2NI+AIOAKOgCOwPRCweWp7pOVpOAKFIlBKwgtbxC7E6tWrw5Sp08KiRYsCDJObHQOB2rVrhw7t24fOnTuFGjVqlJkpFiszZ84Mc+bMCevXry8zrHs6Ao6AI+AIOAKVhUDDhg1DcXFxaNmyZWWRdDqOwDYjkGV4TSoIs/vhR8NCvXr1QqdOHUOtmjVdQrjNMG87AaS7q6Rupk2bHnbbrVnYq0+fvGon1OXo0aPD0qVLddCpX7++1qGrqWx7PTgFR8ARcAQcgfwIMP8sXrxYhS29evUK7UVIY/xF/lju4whUPQJZlQZjhqZMnRrq168X+u67b6gpzK6bHQMBpO8tWrQITZs2DcOGfRzmzpsX2rVtW2ogsUFlnvgtWbIk9O3bNzRu3HjHKIDnwhFwBBwBR+B/AgEku3Xq1AlThZ/YbbfdVIBm89P/BABeyB0SAeVorSGyDb5o0eLQs2fP8Hm16mHl6rUiRQzBVB0oQS57Lrc4rPuXHFjNhUUutzR+vFeXymjYqHFoJkwvK2gY3lwGPxhjmF3q1o0j4Ag4Ao6AI7C9EECAhmR32rRpYc2aNcrwbq+0PR1HIB8CW4hwP/9cdHalsW4S3V2YXRpufLtILnsuNxI0d3vGbrHd/UEjMbmwMDeYV9WpljopS7caPw4NmDHpvb370xFwBBwBR8ARqAoETMhi50zsvSrScpqOQEUQKOGKsrHKZqaywdzyBSBQTSW2MLSllyFfQFY8SUfAEXAEHAFHwFDNXs4AADooSURBVBFwBHYSBHIwvEnOTapo5ci1MR67xfZccdzfUCl5xpjEdgsRuyX2jAuidzeOgCPgCDgCjoAj4Ag4AgUhsIVKg8WybYgSFdDPRX8XRgumyxgucyOW2d2/qvABZTUllWIu/nQEHAFHwBFwBBwBR8ARyINAXgkv4bfgq4zPhenN2iPKWTf3rwp8WErw58YRcAQcAUfAEXAEHAFHoHAE8kt4lUaKvYpfs/aspTQ3lnXOWtw/gqKEc40cI2tO/8Lr1UM6Ao6AI+AIOAKOgCPgCGQQyMnwqmRXma+syDYTPCdHFoG54/on0mq+GifHvbRYcV6tCLFbbN9B/MlSrmxZ9vzpCDgCjoAj4Ag4Ao6AI7AFAjkZXuWqMkxhorcr8WC0jP81uz0hm8ueyy0OuzX+xMGQlwrE52ourknZvDm52gumV5ngdJmgbXTtGbvF9u3trxlDV9qNI+AIOAKOgCNQtQhwlsevtaxajJ369kMgvw6vNPSYn4PBNN6Q7Kk95ZB63SJCIf50MO1k2UQyYEjkJH7C7uWipW7KxUb5k+C4b9y4Ub8+tnrN6lCtOtd7WSHS9JN3pZVKJPVqGcpGqGr/TE794Qg4AtuIgI0z20jGozsCuzQCzuzu0tX7P1e4PBLeDA7CFCbsZfJeyh6/lATPApjhO7PvWOIo+fxryeeMq8lX3jZt2hg+F2lsbPQeCBHN4g81pLRIbC0UTzpotpNKIjC3a9asDc89/3yYOHFiOPnkk0L/fv3D+k3rhRGOWdTC8mf5yZf/qvQ32tvjCUOAyWK5PRL1NCoFAau7XMS8PhNUdkUc4nrfFcuXqz3/L7pZPW+vOia97ZXW/2J9epm3HwI5GV5YnYTdSX5LsgODmHYr8U1Entvmv3DRojB37twwb9780HfffUPzFs3Dxg0bNd2aNWuFZcuWhY+HDw+bRGLbpUtxKCouliwlTC+f3t2wYUMYM2aMfiK5rXx6d88+e4aNwjwTZ+68eRov4XNz5TMuX2y3MsZusT2Xv7nFz1xxCvcnx7kY7ZhCZdl9gKssJLcvHZ+cCsN7nowFMouHNq1bFxZhJwjlfXYnqKRKyGJV17ONIZ/KPDxg4KDQd599Qs8e3ZOdV+kzbhyBnRWB3CoNGV4wZgkTe8JYmrs9Kfy2+m8WTq6mSHenT58Rfn71r8Ltd90VZs+ZnZHCQj3paBMnTQr/uPW2cN+/Hwyvvv6GSII3ybxVXaXBNWrUDEuFIX7kP4+Hm/7297B8xfJQU9yI2bhRo9CgfgOR+EpYGGQhSZo89Y9CiCGlxC0pqzpm3PEtCZ/HPxs2obVF/G3xJ3PbyayW75+zQCjrE8bbKSueTAEI0KYxTIao7yxesiSMGTsuvP/Bh/IcGxYsWCBtdzs2oALyvL2DWPknTZ4crv/Dn8KNN/0lzJgxU7Nhfts7T5WZ3rp168L0GTO031YmXae1YyGwfPnysGDhwjJFT5WR42nTpoerfndjWCpjiRtHYFdAIKeEVwuWnht5Ty/uYrfYbsjEbrE9jz+Lx44d2of999k7IOmdNGly2KN378x2CtLb9WGsTN6dJEydOnXCnDlzVC+3tUhpPt+UqDgsXbI0LF+2POyzV5/QtUsXOahWXRlbGDf+UJOgGDVr1lDml6xsFqYZ1YhQDb9qoXqNRC1ik4UnQib/0EMyBOe7aZPc+oAfpoDyZcMmMUrHKSS+JiIBCVsFhknfGKa7/nVPWLlyZbjq51eG6plFQj7JgsXblizlo2GMSL604zTz0YjDmL3QsIWGM7qV9axIunHYKVOnhhdeejlMlcmKxd9qUedpUL9eaNq4cTigf79w2imnhEaNGirzG2MKDUzsli5LnA5+ZcUpzy9XOhYH2rn8Lc3YT/NEx7J+SCAxZdFauXJVmDZzZqhbp3ZYtXp1EiH1W1b8VNBSrxYvzmOpAKkXzX8kNdP3CpTH4n+2fn147PEnwjPPvxi+ffkloW2bNppSzmElWvgUms9Utgt+tfwVHCFPwMqiE5OHJmZrMSg0T4WGS+ctzpfRWLJ0afjjn26SeXH38PULL9AoiF7S6nkxrXx2o5nPv2atmqF3cZEe9s4Xxt0dgZ0JgfwMb6YUMW+Vy57Ljajmbs/YLbabP517g6gu7LZbc9k+6RGmiqRimkzen322PtSrV5dRSVaay8JUcdP4MlgtXrw4TJ48JbRr2y5sqrYxrF+/IUyeMjmsXLUqHHRAv9C0aVOlafPJ5s83qxQZKe9iWSEvmL8g1BXabWRyqFe3bkgY3E1h7drPwjJZRTdt0jTUb1BfGWLSJ6/Ll69QtYnawnA3bNgg0TPOTLZWllzli91ie644ZfnH4QlXFYaFQVLO9aUYhzgtBkv+YIapOxYM4BwP0nH42E68tCGeuafthI394rjmjluueBY2HS4OKzE173FYcoiKDOGoeI0fl0/c2CHIVWbC8kdcjS+0LP04XfOL0zV7WeEsjD4lH0Zn4KDB4V7Z+aDumknb79G1qzC3jQKT5KQpU8Orb7wZTjnpxNLRM3VhNOJ8lgooL2WFsfISJ7anafBudMwvV5q53OK4+fwt7TiNdNi9ZTF80++uV/1+xpry6KbjW77tGftburGbhcv1LCu80SCehTMa+JVyk/dVMu6tEGY+7S4OGs3oxf56TiJu15ZA9MwVz7zxs7wYXQtPGNzs3fzjuGWFsXgWhqe5ZWlVsB/morEFTQLlMRYWbysbXSg9DuQKZySzec84xGGNrtG2d4uLKt8ikbiyi6Pjj3kkVVxqHDa6udLDj7Ebw3hPmHQ4ATts2LghO5dbUv50BHZWBPIwvKwZpRdjMo8t7OpQuf6bNm8K9evVC506dQx1atUOC4Wh/fTTT0O3bt1E6lpdmN1pYb4wqsWdO6uEd5To6s4Qxnhd//6iulBDmON1YYpM7Iw+nSUMkz1MsDhoeTgQt2r1qvDOO++EZ597XvzWq8rD7r16hjNOPz2g8ztj5oxw7333qw7xpZd8PezXdz/6faghg8OKFSvCv+69N8yaNSuc/5XzwkEHHRTWC0MuQ0WCRoxVFeBjJKv6Wbt2bcWXgmPH2AAcP+MBsrocDizEMNDG8SwOg64NwOkw+fzS4aCVi3YudyYMVGjMGC17WmksXEzXwsAQp435Wfh87xbP/O2Zdrf3fE/6Ke2PrWyYXXTYDznowHDaqSeHzp06KR6o/SD5HT9hQqhfv34pUpZPVFgoTeyfzpNFtDhrJA606We4WXiz4xdjbPF5alehY4kxethXrVod6tatk41nNPGLjcWhvNhJJw67Zu1aWahu1nZcSyRVGPWXJ9cT9hYJmRmyQVXG8bHDQNaVhXCtWrU0aOxvcXlaXrCvkF2RWnLWQBfp8p4vDmFjYzTi8pgb4RirWPyzw0QdxX74884ZhzrSX2M/s8f5oD9R3w0boOKVtOHYH3pm8rmbP/QtDdzS4dPvFi/tHtPIRaey+iG0LS126Bi37N3ylu+ZzjPtm7ZE24lNOlw8fhHO/O2ZK/2N9B2hbeEtbL169aWO64RatWvpglwDRDRtHLbw5m9Pc4/TzDfuWhx/OgK7CgIlM36uEjEfZTtz8pJMsAROmMgss6dTmLltnT+0NggjUlxcLIdJWoW58+eHmbL12LNnTxnsP1Pmdvanc8MlspVTUyah4SNHhQmffBIWi/pDx44dlFmdPefT0FbiwvAyaOhgJFmno9cTZvr5F14U/adFoXvXLrJC3iyH4JaHtwYMCO3atRUm4bTQokULVasYOXpMGDFiROjTp48wuzVCDVGBQHo8eszY0FnS6tWjp0722xMfUM1wCmqtzB8bCKdOmxYGDR6iOqBMMv954kkd1A864IDQvn07lQYwQCI1/OijYWGGMP8bhekAPw4ZduzQQbNlTEScR0tjlGDLouGYo48SPesV4V05GDFfdEyRSu65R++wl2C+VhiWD4U+9cuE0aljx3DwwV8KTWRrHjoYBm30Fod9PFyZOeK0a9cu9Nt/Pw1PGEsT5mX8hE803UWykIIhatm8eejevbvke59SDNNq2eb+aNiwMFF0Pdn+3q1ZMz3cRL4oJ+mS7zfefCu0l/QOPKA/SWXTGjtunBySHBFOOO640LJlC/VDn3aaYHvqKScrszFkyFDBcEk484wzQm1py9BkAh05apS2saVLl8nOQ+uANHL3Xr2URvrHyka8l199LaxevSb07N4tXPDV80OrVi2zwWEGe+++e+gFnQg7AnwiN5fogc658zUPbdu20XrsIXRsUgR/pMcwzEcfeaRi8M6Ad8NEUTlaL2pGRdLXjjricClrS+2nQ4a+p2G7SD8+/rhjS9F58623FVcOwhx04AGaR/JPHkaNGhNmzp6tmHXr0kX9mzRpkm1zw0eMDIOGDAmHSDvYd++9FWPonXXG6aGr9GfyC2P//vsfhDly4OYzWey22G230Lp1S8Fxr0B+MLNEFYq6gzk4/thjtW6RlrGAYZz5UOoedSraJO2NhUP/fvvr2GCYI0V/+dVXVK0JqTnt5C1ZSM+XXSPGin0kvUMPOViZZYujicuPvecvz2lSnq6BNjDhkwkyBs4KixYv0QV3fVFPYYzqt//+wepo8pQperiIRU+7Nq2k7coB3bnzdOfqWOljCVOW9BV0useNHy96vvNDB+nPSLj7i6oLO1yWr3Q+ac/EO0Hqkv4Vhxs1erT2qy/JIou+X0g7tvijVWAxU9sIYw3jADgef9wxGWHFehnjR4bx4yfoeNNEFlatWrXSxQp1SVoF9cPjpR8KZpbu5MlThO4IEabM037fqlWLUFxUFPrsuacukCyc4cDT3NbKeMO8wDi5RHYcmzZtouWmfTVr1jQbDkHLyFEjtX8tkXokfQQrpJHcB58s8Cnvm2+/Lf2zl9Rn9/DBhx+F0WPHhA0Sn/5/oIy7HKykrIwN1APtljI88dRTKrA5QvoeYydj4cuvvhr22lPU+aQ/cN5lyHvvhX777aeqgVaGOSJEGiF9aaaMweSF9r2vjIGtpP+6cQR2ZQRqXCuGAtKh6BAMmrsJI1BfVv9MdLhjEnYXlhSmFnY3cbenuW29v9CDpBBCgqEDvUx+zWXCYpBYKgzWS6+8ohPS+eedq3kc+v77YYlMBHvu2Tt06NAxjBAmY+DgwaK7WxyOPeYYGRhkhSw0kY4wCTI4woB849KLw3nnnB32EwZt2vTpegCgtTAIPWTw53DbBgnPpIBeHDrETLoMyEPeG6oT88kywe0ljAgSJExc5thufjy3HZ+ECAPUwgULdfWP7jLG6sjs82WhgMnlrx55fqAzQybXZ59/QauCMi+VBQEDY/duXbMD7wxZhPzj1tvDS6++HtrIBFRd8vTq628JUzREGUCYQkoc54skFQNJY6gMwvc//KhMsnXCQ48+FsYJI9pA6nyAxB8+fKTUeTPVQ33wsSdEraRxmCOLnCf++1yoL+FpCzDc0IaJfeChh8N9Dz0SimVXoLm026HvfyiD/uuhW9dinRxJl7ADBg4MV1x9jaigbFYJIm5vvzsovCwHH1nAwLThBsPzqBx6vOu+f4fGDRsJs7ubpP9puPWeB0Lvnl11UoIm7fFnv/pNaCl53V8mFIxNKExK55795fCtb31bVHSaqd970lYffPQ/Mvn0DU89/Uz45e/+FJqIusyXhOlDiohk76lnng1/veX20EpuJoF5GDtufHjkiacE0zY6KSmh1A955uaS/0qdwSCdedqpyiTTd9Mmq6KR8YBp/eftd4S3Bw4Ja9etDZ9Ku3lbmI4xwsTA5Hfu3ElDQuv1N98M9z/yuEiXaukkevPtd8uCdJ7qeYM5ksc+ciMKOwKDhZm/+Y67Q52aNXUxgNQRA2a333V3eGfw0HDskUdIn22v5X7m2f+Gm/95m+oc95B2NlUOrj721LNhjezG7C6LXZM6Dxv2cfjuNb8L+/TspnX/j9vuCP958dVwsCxwaJ8wu3/5+z/DoKHva/+AMRgnTPrVV/8lHHHEAcpwkI85sii+/e57VM/5MGGeqSNw5PrCh6U93vfgQ2H4qDEEDSNlgTtYxg4WKzCYTWUswKyQA7H33P9vYU7G6vjy+FNPh8eefV7ODyzTcwVvCbY9e3QTprK9hod+bHjPX56+Up5uOgZdcdU14X0p9zqpHxZiI2SxSH+BCe2z5x6aHxZy1//5r9Je6+uinltunn75tbBm1coAw8vOFhLdB/79ULjtnnuVse9SXBSGCdPz7AsvhRqSF5ixtJSc/JJPDi/9QPLRp1eP0Evqw8rC+PAv2Q0bIPV5uuwoUE8FtWMZCKAxVBZG9N19994rPP/iS+GXN9wYGtSpJX3iQKWF21/+cUuQ3q6LloWLloTHpO/UrllLxu59dBwoqB9+W/qhtGfSZAF9w41/FuHFNGX4WWwNHPJeeO/DD8Phhx4SGsi8Z+VWi/xYv2aRf7/sotx57wPq1qhhQ2mr08MNf78tdOnQThfrpMHOx6OPPxH+IX2ktmDfUvoz9fbEM/+VdlldFxm288HB6j/99W+qNjdh4ifhn3fcFRqIFJdF2VPPvRjWCxNLPXNmZYQIeN58Z4DWJ9L+JXJeZeas2YpF48aNdBF/3e/+KON0K+k7q8O1v/tDeOXNd8OB/fbTOZG8scj4881/Cx98PFzGmPbS79eFp597QW42GqtnXphvrbyckXlrwMBwtDDUCDvSuBg+uZ6kBR12YJmHrA/j7sYR+KIQyC3hhTORv6xaQyZ38bvZ7UmQXPZcbnHY2B93pK7cttB7997h4xGjdJXKoLZk2VJ5HxlOPO6Y0EAGmhoykPSVgfJVkdTAnPYWxpSrhtBhQ5JVSyZZJmpUIYzRWr12nUh0jlEGZZ2soBuLji6r6sEyQW7cuEl0eDfJ5LUhdBfGt0gm+wkTJ4dPZIAsLi5WSfNYkdI1adxEByCYLnSO9SMWmsK2lz/Gwuz2BBsM72m3xGfbfm0gYnD9w/W/Df+89TZh+D8LP7viJyKBrK0MDSkgRYUhhAn9w29/k0yAwlicIYwWB91uuePO8Mfrr1Ppkg2cljMb6hj8kGoilfwKCw9hAtleRcLzoDAcN/3tH+G4o48Mt//9Lyp1YKFys7i9L9KP0089RRcg0HxHBuMnhMn40/XXSp321WROkXuWb7ntdrnF46Hwm/+7KjQWCR1mD5FwPnDnLcqQkz7b1LQXGCRu+0BKy6TCzRQPPPp4+Ml3vyVqLqfJoE2Z14jU9Cuis91QafFD/Xcr6iQTZGkVAfzqCp3DjjtJpSe8Y5DMwSzdcvudOmE9++A9sivRUdyTCRZJ1h333h+u/NEPwkknHK9xThdMH33sP8qcFRcV6wSdxpSA8xcsVOku9NvqYiNhKKxOlZj8EBeDO7eh/PuRR3Uh95Pvfzv0F4kh3iwinxCm4oGHH1HVIhYCxGJ3pLcwmh+LdKur9IeH7rpNddhfE71gJPEjhUFkIcZip3+/fuHIgw5QaeckkTIh+cdMmDhRdg6WhqMPO0SZY9xGjhod7hWmp7/U32WXXCyS+Q7K+D7x5FPh0SefCT2E8UMqjmEb99RDDlCJ4hsi2W0ti60/XnVlKCrqrP5IrcaM/yR865KL9HAefXO1LIq+eeklKgHTQPLDopFdIJgOxgczAwcPCs8Kk9Wre7dw/rln6yIISe6zcoc3Ez8Lkm9/43LFAgxbCCMDrTffHhCOPeqI8LOf/EiZ+qeEsQlhpkqg9+vbV5nvXPXGGLVFea6+MhQXFWmWkPD98oofSh/rof2DhdGn0u8eeuyxMFbKyYII6dzee/cJj957py56hghzfs6ZZ4Trf3ON1rOpY/x/e+cCZWVx5PHWGEVCWNRBlIfOiBgiCEFjVhBRJCLoagCVQBB1s2tijBrfrsasOdk9m7fJnnXdo4kEJG5OPEbjioDxhQGN8tKAUUAjBhAjj6DgAzHG/f/qu3Vv32/uvXPRAUfsOjP366+7urq7+lVdXd0fuza/uO32cOqok8Lp48dJyN/T6ucnk35mghjXTrnG3RKPflhknj76JGm+F9r4SVsAWDgsk6bxtNGfCw1abAJoretpx+BCZw+12Ru0+EDBcufPf6b+ua8tXNeuXRfukCA2RoL0mRMnaiH1URPOzpgw3s5aeNuuqx+qrwII6IwZmJt88+qr7GAfAjq3HnDAE2VHHrzemEumz7wn3Hn3zHD15RdLK/4ZG8NQptBWmD8c2A25cfLU8K9XXBqGHj3EFrSY6tw1bVq47sZJtghilwJAQYKt/UOzHzbB9fof/dAERMbZX952mwT8X4dTVJ+YDbG7gib42zq0xiJhwvjx1qd3kyIAYEF78Cc0n2nBeYd2PcefdooWDwM1XmZj4Dr5sUhDgXPVFZdZ26FcjDfXahy8+ZZbwmUXXVgcM41o+kkc2IE4UBrtWypUNleWY8V+sduxYr/YXSOcDshE1LNnk4SSXUxbgmCybOkyM9JH89HhYx1sC+6AA3pqUN85rNbAu0LXC6GJRJvENh00EJ4ZUAC2LFltg//65i02eL4hbZ5daaYpXWOF/rWtLKEXwYYtU7a92S5Ek7h27drAVjwT8957dzFziQLprDR1li9DLvzGcWK3I8V+sdvDW/nJ4M4EjrYArS2TCZMAwprb8q7Sqv92Dfpjx4yybXJwkIjQZCGMvqSJiu18wCelStlcqYn7y//8xTDs2KEmCFJfaI+wfxwyeFD4xzPPMC0nQihbbWjtt2hy8lP1aDfu1xbyCcOH2STAZEZ9oXVhMvm9FifYfwO0KbZi2dZnsEcIYKJC4PCtQN4duMEDWtQ77QIBmRs/ELCg5cCCJ353f9raa9Kc+MLEBE0RwkQHjTWCEVugaJ1o45jeoG0dcEhfEzqgiZaItkxZNry8UULe00a+UjN4+ZWXwyZpdKgnFg5VQXmgTqCBgM229kBtZw//7GdtkkXAGqnt3yMO/3RYLROHxyXcAkyklAFhtb8WRF87/6umRYYnQ4cMCa9setUOt9B3AMxP9pfGHXv7Z7GpFxAf+/rV2vL/lPoWGn20a2jDAW6QQNilHqmTIwcNNF79QYtZDpAC7KjAGxbAB0sjednFF4aJp3+hqLnl0CkaaOxo4QmaTbRL0MJmt1RX71g6pGWHtkQbLfnceQukTQzhRAkACKrsGHDXN4u5RpUH4ZzxAKA8xOWcwenjxtqJ+SYJqgj3/fv11cGiDbYt7fQtUu7nHY1Pzcoz4QtasH/CMLvqTAHmEgdKIOJgbQf1xS4S1Pdu6Gz1iJAGDxkPweH2jVc2vmrb55yDwMwLO1C2uudo56ur6peFDcIuZYfWkTJFYJx8eukSo2XtQ2UDvP/SrjDpQLOMttcBc5gVMgvA7AbAHG3Wb+trx05jjYQwTGG+9tVzZcrU13hOGPylH5L3TdJUA5hddO/e3QQ18yj8tNwPS9iUiYNf3EADDxgLMBFhXmFBAXi5cZMPAPOWu+6eEcaOPjkcrTZP+yUuGmHaM2ZRAO2IcWnksKGmMYYmdcwB55EjRoTPHNo/sFhjLDPQ+EJ77addynPO/qfQ1NRo/Xivvfa0HYWNEpS5Rx5grPh4h49bnhiPWWxDl3bugF3yCo3RZ02cEE4dM8YWoK61xhxv/u8Xh7GnjC7ykPGbcXfc2FPDI3PnayGVjTNOLz0TB3YkDpR6SlSqskk1fondjh/7xe53GW4DkibOTp32MO3OM5pgsKfE1OLApkbZ4R2Q3aaggYhBvrs0Atw5OnvOnLBKAk5vbSMyoPtA5UKHZ+evGhAAJnGNbEWh2LPOBLWzBpY+mtix/1uyZFlYteoFaXqXGX6fPgfbahuByIU9p22SRPGl4HDCvMZux4v9YneF8HxZHKW1n0yiNqErP0wKLuySDhqmLg3acteECjCY+wSBANRT2rblqitoIDxDx8MtQuHnDQmY2OMBpIHAyz+AwMNE4XGhheCLOYLzkMOHbDEyCVynbXlwSIf/jRs3SWDdHFaq3tD2Wz2JLppi7AHZDuZS9fUyAUCo3VO2dy4MIVic/vnTwvU/nRwekeZ/4BGfMWGX7WzaVaWyWKZr/Fgc8YGbLE7QpMcE6+mRtzc1qSPAM7n/5KZJZWVBEF+vSRTbUECtthkg5LZvt7viv2nb8s0Q3IPJW/xhwsdMg/ww0cNb+AfA94Ok7Zt2z73S4L1o/uTR+LrpVVs4YNfq9YuWDqHK2kEhHQ6dIVixVYyd/cjjjzeBeL62UbtLiOur3RgA85E/yyyiS+cGE3wRoKALPeyRKevip5aEV5WumxLAo55NjaZphY+AtxPsv/fv3i1Mm3GPzGMeDp+WEII2GlMLxgpvBzEXvcuhgUO7jybtQJlHAN4uEeDZ/n1Ephvcf+oAT95QO8P0A7fjI4BSDuuvlSqsQECt1Rbe+fIQ7GVi4YPZBPbTzzz7nJ05kOJaQm57S8/zAl8QdhAS7WS96hoalJm2xc5XRwnE9z3wgJmkUF/0T84wkG8WJtxu43x2uvS5nUSj/yGH2CIQExEWD2gg0eYOPXKgbsnBhEn1uRXtGHx4tkYmaaM/d5IJ33GfQAgeJc3+j6+/IcyXmdPRgwdZHdIP6aPErRcck/Hl6CFHqR7nhgsuvSIMH3q0Fku9rb6xCa41XiEgPy/FCsoUeEr9ltpTVhbyg+nIk1oYnH3GRFsoW78o5BVNa2/FZ5eEA9CuFaePd96rwRQt0PC+RX7YCVNF4m3AF0gBFinUrwP84J92MECL6aOOPNKCYp5ydmFP5YFFAxCHsZPylrTU69ett7D0kziwI3KgmcCbDQ4M1epM9CcfLQovZV5lCFnIewmXaGQ8ZsW+h7Rf2OX9QQIKgz2D8YHStnSTJhGNGLC3NBRokpZIGMU2i+1HtFPEhQYTSh7wsdIpo81DFShPJoDOnbvYFtNsbQ/Nnz8/PPXU05Y+dr5oMoy2DThO5b2Xn8Rr888yny9Sq7/b4Fmg6hOLP9n+64DGV2YOgPvjRvjZbbdd7eBJPBgTloedpWl/WwMsUJo4KD33G3MvcjYhE04aaE0zyJ7cnfyy6rtfnz6agHub7aDlRcEcGjpC19K53RnxOIT008lT7JDdIGkTEcjQ9rIlv0HmMp4HzBEws+glAekJHRKZ/pt7JeSsD/2UxhmnTyhqsywvWWPKslX26y255En2EQThDxDzDcFvs/4R9JlQuRHE+YdtLAegMrvo8nhOHeGgg+w3V0lAXbMWwfjgYnzScVqOzzsCC4sFX2Sw05F1eGmSpGVHe/W6TDniuNjEUjeA55+J196jX5z0XQ5FPa2++dKal6x+5stE6fPa/kaTDNDPMCGiLcAbbmghPWqYLe6TThyh9P5m29ngkyYH0RDK6OMA+J4XhJdLLrzABLqntVCded+DqtdZptlk2/m4YcOsnrMULDoUzEG52D1Am+n0vE1kddfObPq5lSUGcCkH4PgmSMi/RRAK5c+Xh3jQZVF2s2zUZ2vhdVDPA8Igmd0g7HFI88HZs41vngZpk6Tzw8tA+Guvv2b8R4Cij7JjIUQreY/uHcI4aYLRApoSwAn6s1AO6mz4sceEhx99LHCGAU3mvTIPuOS8r1hc0BHc6mnHKBUwNwHeljvelaAcXoYR2m1gZ4adhkelfZz6y9vCQQc0hgm6IYedDysj1QeprBohGUF5P6ReMA/B1GnBwoW2EzXjuv+RWUXHcMLxx5lG1K6ajNqU85GFx+7qu7uozwAZv7MykLSNV+IVi8kNGpdYRJaggCe60Mf+lkWcC7ykQfvLbo3IFpcWV4ThRQxZfjJ6nrcYh3GSNuxtERzHwwactubzovtDH/yOyhsCc4LEgR2VA80E3rh7xW4YkHWzbGzBvS3CsyEKreHOsiHczzQZdExsrdAyMOCwdUni2PEO0GnvJxYtNuGF7UzsIrkjlwm9vEPrgxLq1MVCFPIPDkKF4zIYsIXEwIQ2d660y3PnzTOBe8jgI237zSZ9MWBblB8+Q7cSfz2M5/YA5wlpMaDDP04Mr5EWANtIwAdbcNGgoik7ONKqGlLFHwSVLKA0phc8FBCnDVYhRI7MRR0jrDVJo4wGsRYw0N940yRD+fdrvmEaW6ePtiXW2oGEUMCEyjY7h8+wd+XrfQjM11x1pdluUm7+feL2d+IjWFgb5cVB2fYtbPfyJzbpaHI48Y1ZSDWw9JxpERKmEV332dfMEB7WQSD6BMIzUCkO9cjhFIRHFjAZlFoz2ieEF7b0rc9EGMV6KPj55FmKnaWJYIaG9faV06Qpf9Q0mXtJk96nzyeNv0RHm4zWa+mzfwyDBg60LWDaGXWDOIYgDFAGAF4TBm/pg/DZwcuJ0Itd/jq1Ue7pfkyLVbNfvfVXdgAV05tyMwNvT7vKdKZBh5BWhDd0eA3wNo9W7S/aReqoekIDnAfnQdEfks4QfxYDyx2VyoMfW96/1kHNmfc/GM4+c2I4ceRIax/EXist819k5uJtDz8TXwtpZYuXjG/QQhPOYgLzAc4w9NUiscRnCTvCiYE4DrjZCUCAw1zjzun32E0naMM7yfSpr3bCHOptx5Z2oUdDH0EvBk+fRddhhw5Qe+5v9vQv6uaJO2VPzYFDPqzRS9peym11XxCgcXt7KfXDUnlIhwN7/GPKw2L3YR26u0kLC8Y2hGxPH1xvV5wF4AzIaxrf3N8c+gGfRSrwUSkCunfZp2iGQxj93uuE3Ug+BOOHWS0SP8LTX53QvG94REjAX+cB/l4GhN0XVG/sALg/T/LIwgtBPT6nYEjpJ3FgB+JA1kujAhX7nAbPzM0omo2kpV8bXguxWj+cCQStSVNTk61IEaSY4A7URIaQy4RFJ2ZAa2xsNMEHjQOTEXEQjqFh2bbsvWOrarabGAxKkGkTX9EW+F+lES4UMxsA9I62jVsIAPLDgI9ta56GR9zW/PH8lfK/bVxWDg2ClNkHap8EukjTw+0XT8osAEAgcqGIw4NLtO3KRISfD7Qt5rLY6FrELCJgq9tPCxI08Ou1LZoHBBS3/eQk85/0z9VZbG17WRDs+KIfNnAFmcoEPdfYMeFiP4z94qiTZZ8ss4J169dlSYlJ2BRyi0XGJxZOH7GtyqXLngl7clguaxBR1tQqxdc8sIXf1NQYFsnGDuE6D5hdIJQTN57I/B2Tk+HHDbPwPz63PNyqA1+Ynni+EF6xQXzgwVnK/3rLZ1Njo31pbIHsrbF993pcKT7hhyaaHRX8y9t7PnfZe1wq8InHyX8mWeixsOAmDRZDDixYMBcgn0/IpphyEo9yIeyyUMGUCPMhgwI/SSvmo7czM1MplA/7VLbeT9a2OII7tPLaWWh6dbBA2L/HfpYXrj5D00X+gLkSmjGPaZBdJXaxGcQlLnjFjxaC86heHq9f2i9ttpPGNOyJWQwB8Igr1xA2HRd/+iTtD7tvzjywCwYvAYQY7M/ZJcO+HlvoEp93MpMwrrCqVs/OI+ym+/TuZYdL739gljTOhxe/6EY69bZjzxdx6CROP3vPfhnD3c4VfLShHKgdN/Y0W3D/uXATDR23pX7osxX84lYCBxZbHMocq8NdA0T7ueXLbZ4h3Hnr9cLccphss2kLcTv1cExwAM4/DBAeC0/vs15exg/swA+Q6Zdp2YW/Fc3E6NMFqGcEVID0PQ/m4T8VmLqPrhxkTHpS4wxAvjxvC594POyhvKNRT5A4sKNyoJmGl4LSqbJ/9K2FLokHTp6Au73HtnI4W6UdZKDPCeFH58418wK2Me00bKEzu+kDBy8YyPncottHejbtqdU/hwAY0FmBI9x4dtEy9erZZIedKJPh64dJeA9dSYW27E6druWUf1fXDllkkOXYRuWvxF/LW8b9Urr+3opPND5MsJiKcNgFjRnvDNJcl3XWhHE6hXyzCTODZSuGYMihqklTpoahgwcF7litBQzQTFI+0zkLiYOQkdc44Y/gHYcxASHk/cu/fkufVL3V7vKk7tFYrtJ1dj/XTQtjTx2tU9JH25Y4eVysg2xopBAAuGaK68u4nohPVaOFAZ559lm7tYET0Wzjohljolqgu00ReDrrwBCwu7Q0XTWBcHPIQ7+dbXavXNc2feZvhP+SBAzd+1nsLOR/p8wez2JnP/gxsTKBffbYY/UltAfEwym6Mu80O63OJIom7XZd20XbnqDT9dWAfnLK506yE/ezlB+uqjpECwLsbbF1XiIhfJ7yet0PvmvCw2GHHWrmPywYpkz9eXZLg4jPnTffriwaqpsUELQcmBgRprDnLANVHrw14bBQkT4Bc0iwh8waqJO3tvxVGt8BdoiM+C4UDzlqsC1aZs1+2MhyWBR+YDO54PHHw8JFT4b/vvb7dkgIBE7rxzcr4Ed6aH25PQShd9jQY+ykORf0I8QgrGJe8XFN6I5Pfvn3BR3jAPdCz9NWN1+kY9u5t068s0DghoYVst+86Lxzi4d9lKTlk/wUxwCjnrVVeGVav7hxF8L9YW2iQnkIZxFDP+BgElfCvSxNJPbCD82eY1dRoY0GnNe+Q0B7YuH01pSbQ1Njo9mssqBDc/nY/AVh5r3326IOTThjLHXDLRPEv+bqq6yPQ8PpWiKFH2zuD1ebQJh7VW3zkq+dZzx04XBr2zFpxOMAyXi7oB5ZuA0ZPNjGHA7kcUjvUZlUcPCTBQ3AbkytfrgP/VAKEoAxfcrUqervPexgIEI0V09irsZVeMeq3VAGAypYQB4pH/fojtGtLd/8j++ZG1x2VuDDY5qfAK66xDTk+OHHhSuv+Vb4X92wwo4NJkcsQn55620mrF9+woisvxBJ9G1cK2io8XIw/kizDo4D7Yq8/H7x4vCobJER2Ln/1844CAlzLu6NrwTskI487lhduThZu6C7ak4dYP1mnoT4n06eGkbpRgzahQPpW593j/RMHPiAc6CiwFvqXvnSFQQ8Gz/KxK8CYiuEQ0kZsEFKz7EaRE49ZbStRN/WwIOm1/s/g+Nuu7ULE3WyGWGASZlDacQt4gi/ve41vFTXreC35a237UMJuEVOWr9jtLU1zAbaN6XVhSYDEAPHZk0wb70leyttcfY/pK9tE7+hg0HYMhZE40K5/dEK5S+SrsLfSIjyVFvr6YM7g/5gnWyfo0NH39d1YGi1L7/oAjsIAY85OQ6fEHp/pW1X7F7/tGp1OH7YMWYCgEBZbdIkr9j5zbl3RtGG1ydMaD6/YpU0672aFYlDas/pJo7YVIAL1b9+6UVhsq61mnnfA3bVFHa9mzWJHacDKRzIApgURp10gt2tywEg6peJauL4z9vW5q26hsthF12Jt+yZP4b7Zs3WoUV9WloT6osSeDnYdu6XzraFE/lFkDxe7YZ7Qn903fUmkL0u7dEXdToajeI5F19hE6zTfVPt5neL/lDm52E8sXm9UmW5+ZZfhAuvuDI0Sgh/Te0ODfLgQX9fvHYtjoPb64x6GaPri7Bbvmv6DF0X9VxYqBPZWzTJI3hxmGuitGPkDeD2jTNlk4xGaoaEoLv1T39o0J20o/7hBJuo4+1NNKQzfq2PPGhSjIH+uGjJstBDHzzArjoGbKQ5SEY7Ydv6vK98yfqotY3CBI+G97xzvhTuUDu6Y9qMcPtdd5sAvXrNunDU4YeGs74wzq4hhC7t5s5HFujqpYOsfcVpYTvJgSZs/q/6t2+HBtUX5d6kLWhOxk+cMN4EBeJwm8TyFStDOwkPfgiIPKGRvuDcr9i1bLfogyuMJSyw+33yoHC+8shY4YCtJLdQTJv7RPiGxg3A2/FmaaSn/99vw8DDdT8zTK0CtIl8ebw+Eaa4MeO6G26UHfl9ui5thoSxXcKXz5qoD/H0Cld/+wd2p3NMnevg+OgEV4U9OOd3obFHN/sIC9vxLJguvuA8+8LkJLWxdloMEHedDm4O1+KGq6noF5XA88ST6/9+fMNN4YgB/UNjY2Mz9K1px/lxAGKkAbTTuM4Hgr71Hd1XLWGX/oZJBpPDl794lu3UgEcbY/y+tlY/LBz0oo9A9/qfTJKAn92PSx7o3yePHGFjHjStfRbywbsDJm1XXXphmKLxZpoWtl0kyG7QggGh+fxzzrZzBixSMMH4+uWXhMlaSLKQ4wq8lVowcdPH1VdcZgoET4NDgSu0IOshZUp+aOdayNkaJxHUAcZHFvp80IT7ur+r+3TRgv/XD7+ncazJ+h/XRXbSdZtxu/P6Y3HAR2mo5+9c+5+hhxbs9Ms12k0YrX59ypjR6nu63UjpwCu0yHffPVvj0sXOgvRMHPhAc2AndTzABhomr4d0PVJTzwNDgzQIbPP7APR+lZIOiABGJ/RtnHxe0E4glJF/tsKagcZQDlkxhjF4MJFlwyoaxWwrEDs14tLRV0pDyLbV888vDzN1aKn97u3CJRddpENyXeyqofeLJ9QT2rSnJLS1a7erfZHM644yu3vRokXGgn79+hX9mvGkiofT4Mk9m3xc4HUJh5gCxF9ag9ec9EebiaYd+zcOVqEpcxr5JNyf+yDRnCHsoDV2fw5vcSNGO/Gbk9/OZ8LRdHJwBBvMfBpsb3IH7Hp9uQzbVHYCyA8Du9OmbvnICHRoC2xNQwuzhjWK2yhbYJ/wMYVgSxk7UAQ9NMd2HZQmOMBpIvSgTaa9kNce3bobXbSDfKKar7D5lUCUd4Nock0WAojTiOnhxsbvJV0XxuTOJI/ggxkJi4o4DrgxxGHkHTMg0qQdY5aBgItdLe0HXIA824SvSRJc3rlbFvtI0xgJDz/w0VBxfRJ5J9zTo05oB5ggUP9MqjF9bghYuSr7ohO3eHg4dGOA9hqZXWB3S/Y6Kx8dO/6dtGOZJhNc2g30qP/u3btZX8Xf88IYAc6mTa8aHYQBbCXZzndBH3x4YrdeKAuUJW6DhKMRx04WUxkEDOcJYZ4WbRUtJO2KthbXKVvZXJ0GXdoAY0oMTqNqeYQMdyjPypWrdBjxBWtH8AJ6aL/5uAR58xsLnCb8w5yFWxk+9rHd7cop+OVA++LLlHy5De30Xnvupd2bTqYlBMfpOL4/3R9TDw6AtpfmmYVkUSOai1tPO642Dnha9D1MjqhzTNboC2iZ/QCn421NP2T8x7wHzTb9nsOSRnPfruZ2ml5uf8b+8J46Jk+MNfQv+rX3FW/btKE/S5imLdCG9pFtr9vuOj2EZcYQ+ltX5QFliofR/tauW2u3KnCwz/0pA3GgTTv8VP9+JvjTFmkv9HH6h+cjXwbqkHGQPo0pzL4aXzBlKI6XRFD/pHzwiv5DG6kXPJ+ZPPGQPtLUz8ZQ96+XTsJLHGhtDlQXeDXJ28oyNzG1dgZaokcnUU+3DpjvwB73veAQN+6IDDzTp0/XBd1TzMxhs4SX86WZGqytNdzV8uB52aZP5ZVPKj+9DQXeWvl3PvmzEm6tMPDz4fn3SjSr+REXqFYnTtuf1ejU6x/Tid214lfCq+QHjWr+LYV5+sQHqvGDsDiN2E1YDLXCHK8STiU/x+dZKbySn8chzKHecjl+/PQ0/FkpDL9K4Y7rYf50/zhepbAYz90t4bUU7nTiZ0txaoXXCvM06sEBtxaeh/mzGm3MgYrmdI4UPT2+P6Ogis568FrCaSncEwYPqNReYxqx2+P6Mx/m7/50PH9W8/dwf9bCi8NiN3EpUfkS1Sk2f3rcJPA2503yeX85UHkPS3l6R627vJH7W9aZs+bvfhTC3a0bzhbROyZ0O11/0v2yNG1gsd7ofuTH3RagwQcv17Rk8Ygf02ecYruTbbkTRwy3E+R8IOATupibE+0ZJWiX4peGgdgPnPL0y+O823DibT9g4IrBB3CehPnABo67HSeOF7vzcWP8mGbs7/TzaTgO/kA12u5vSIUf4qB58zRjLZz7ES+Oi9sh9nc/suEaGmh4fMLzND1O/CzSFB2SolR5OjF+3u35y6eVf/d4np6ngb+7nZbjVqIRxweP90rxnIbjxO/uF9PHr1I+HIfwuL5497zg9ri4HTxfjgcOwLuH+bun4/68k56/83Qcj1M5jJthSm0GXIc8jVrl8TieD08bGp4uOE7T8c2PcaiQBQ8nvsdzt7/HcfNuj+/+1eIU8Wq0Y8eplr5KVuQxuDF+pbrwPPGkalvsh6JvNNXLquUhpokbfADNe6U8WaB+HA+6DjiJ7mH44wanUvrVwkr+GT2n73TJG5BvTzFenCb+W5O+00nPxIEPIgeqCrw22xYFu1pFo1MXRtSKaO8tnJV+q9AvksFRgpg+gwZmHL10SItPOJIuW3bYUrJazQ64lMfXcGF4JYp5V+uFl1IuufKptea7D6KVaBIWh8fuSvixXz6uh1XzJ7ylsJZo5PPn75Xo5v0c19PwZ96fCQ3Ix6/mZ8i5H6PpdAq0cigtvubTz7/HBPJhln6MUHDn8Rylmn8c7u5azzydSvnI4+TpeRx/5sP9vR46MY3YXQ+NlujXQwOcfLr+Xou+43ga+Wc+bkv4leLn/Sq9G90W2nE+L3k6+fD8u+NbWv6i59b0QwTrfPyIVEVnLExWyxMRY7qepzzBluLHNDxuFsffyp9x3spDSm/5NCulAXYer0QhuRIHPpgcqCjwlotT8VtL7jYcboNvjfxZENto2ScysQvj8Ftm1lEYvGyZ7hVdiVYlP/Dd35+xX+yuEV4MwlGYSYiaIHEgcSBxIHEgcSBxIHEgcaAmByoKvFmMTMJCxvuwAYLu229H9xyKAUU+vM/8IPlMK/1hq5VU3sSBxIHEgcSBxIHEgcSBd8eBigKvLItMKWkKzQ+pMtG3eSj++yzjlmqWCmkzmSllK7kSBxIHEgcSBxIHEgcSB9oyB/wUVymPkvCQqZJclbGkLfGhlJcP6Sqk1EqTK3EgcSBxIHEgcSBxIHGgbg40F3iJWpKs6iaUELcnB1IFbU9up7QSBxIHEgcSBxIHEgc+2ByoaNJQKpIEq4JsxcNOmrqshSZYbtc1pvBtzx+rl6IxcamWkitxIHEgcSBxIHEgcSBxIHGgOgeaC7wu0BJHbu7jdSiTtQp4ZehlL1msMq+ylxQOB8pYUvbSnD+ZT1QhmUf6TRxIHEgcSBxIHEgcSBxIHKjBgWYC784f2dnunLXLqYlYJuXWoJSCtjkHOEj3t3f+VvzWebUEuYvRrlMrIFCXCRIHEgcSBxIHEge2Fwe4ux7wA+DbK92UTuJANQ6YwOsNko8s8M35NWteCp30jXC+yZ2gDXFAAu9GfQP+dX1jfv/9elTNGHW4dOnSsHHjxtCxY8eqeCkgcSBxIHEgcSBxYFtw4IUXXjAZon379tuCfKKZOLDVHNhJ2j9T//FA8H1NwtT8BQvDLhJ2O+/dxb401txYV+m40pAddty+0+7uFJ5VRivxh7rZvPmN8OLq1aGhoSH0O6Rv1ZUzdbl48eKwYcOG0NTUFGzA8XrJcpV+EwcSBxIHEgcSB1qdA8w/69evDwi8vXv3Dt26dZMIUfqcdasnmAgmDtTJgaLAC77apB1MQ+h9bvlya7T+be466SW0bcKBTGre9aO7hq7dukq7u1+2EKmRFttJK1assEFny5YtNTBTUOJA4kDiQOJA4kDrcaBDhw6mbOncuXPrEU2UEgfeIwfKBF5oxSsxt8F5j2mk6K3IAcxOgLie8uTjMBYsvCdIHEgcSBxIHEgc2B4c4ByJm0puj/RSGokD9XCgmcBLpFhgqodIwtm+HKinfurB2b65TqklDiQOJA4kDnxYOJDmoA9LTX9wyllR4PXs02ATtC0ObO2qOdVh26q/lJvEgcSBxIEdnQNbO0/t6PxI5WsbHKgp8LaNLKZcJA4kDiQOJA4kDiQOJA4kDiQOvHsOVP608Lunl2ImDiQOJA4kDiQOJA4kDiQOJA60KQ4kgbdNVUfKTOJA4kDiQOJA4kDiQOJA4kBrcyAJvK3N0UQvcSBxIHEgcSBxIHEgcSBxoE1xIAm8bao6UmYSBxIHEgcSBxIHEgcSBxIHWpsD/w+GbCfIdDyOhQAAAABJRU5ErkJggg=='>\n", | |
"</center>" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"slideshow": { | |
"slide_type": "subslide" | |
} | |
}, | |
"source": [ | |
"<center>\n", | |
" <img 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'>\n", | |
"</center>" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"slideshow": { | |
"slide_type": "subslide" | |
} | |
}, | |
"source": [ | |
"<center>\n", | |
" <img src='https://technical.ly/philly/wp-content/uploads/sites/2/2014/10/monetate-sign.jpg' width=700>\n", | |
" <a href=\"https://www.monetate.com/about/careers\">monetate.com/about/careers</a>\n", | |
"</center>" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"slideshow": { | |
"slide_type": "subslide" | |
} | |
}, | |
"source": [ | |
"### About this talk\n", | |
"\n", | |
"<center>\n", | |
"<script src=\"https://gist.github.com/AustinRochford/e7483f5e7185320b446a9806eeb82ec2.js\"></script>\n", | |
"</center>" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"slideshow": { | |
"slide_type": "subslide" | |
} | |
}, | |
"source": [ | |
"### Outline\n", | |
"\n", | |
"* Web optimization\n", | |
" * A/B testing\n", | |
" * Multi-armed bandits\n", | |
"* Bayesian bandits\n", | |
" * Thompson sampling\n", | |
"* Nonstationarity\n", | |
" * ~~Kalman filters~~\n", | |
" * Decayed posteriors\n", | |
"* Bandit bias\n", | |
" * Inverse propensity weighting\n", | |
"* Contextual bandits?" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"slideshow": { | |
"slide_type": "slide" | |
} | |
}, | |
"source": [ | |
"## Web Optimization\n", | |
"\n", | |
"<center><img src='https://www.internetmarketinginc.com/assets/Expertise-CRO.png'></center>" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"slideshow": { | |
"slide_type": "subslide" | |
} | |
}, | |
"source": [ | |
"### A/B testing\n", | |
"\n", | |
"<center><img src='https://blog.mailerlite.com/wp-content/uploads/2015/06/ab-testing-blog.png' width=700></center>" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"slideshow": { | |
"slide_type": "subslide" | |
} | |
}, | |
"source": [ | |
"#### A/B testing machinery\n", | |
"\n", | |
"<center>\n", | |
" <table>\n", | |
" <tr>\n", | |
" <td>\n", | |
" <img src='http://www-history.mcs.st-andrews.ac.uk/BigPictures/Fisher.jpeg'>\n", | |
" <center>Ronald Fisher</center>\n", | |
" </td>\n", | |
" <td>\n", | |
" <img src='http://learn-math.info/history/photos/Wald_2.jpeg'>\n", | |
" <center>Abraham Wald</center>\n", | |
" </td>\n", | |
" <td><img src='https://upload.wikimedia.org/wikipedia/commons/d/d4/Thomas_Bayes.gif'></td>\n", | |
" </tr>\n", | |
" </table>\n", | |
"</center>" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"slideshow": { | |
"slide_type": "skip" | |
} | |
}, | |
"source": [ | |
"Much of the A/B testing industry uses classical Fisher/Neyman-Pearson style fixed-horizon frequentist significance tests. Sophistocated approaches use sequential hypothesis testing. We've found, through many years of interaction with marketers, that they take a fundamentally Bayesian view of the world. Most interpret p-values as the \"probability that the experiment is better/worse than the control.\"" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"slideshow": { | |
"slide_type": "subslide" | |
} | |
}, | |
"source": [ | |
"### Multi-armed bandits\n", | |
"\n", | |
"<center><img src='http://slivkins.com/work/bandits-svc/MAB-2.jpg'></center>" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"slideshow": { | |
"slide_type": "skip" | |
} | |
}, | |
"source": [ | |
"[Multi-armed bandit problems](https://en.wikipedia.org/wiki/Multi-armed_bandit) are extensively studied and come in many variantions. Here we focus on the simplest multi-armed bandit objective, [regret minimization](https://en.wikipedia.org/wiki/Multi-armed_bandit#The_multi-armed_bandit_model)." | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"slideshow": { | |
"slide_type": "subslide" | |
} | |
}, | |
"source": [ | |
"<center>\n", | |
" <img src='data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAhIAAAEcCAYAAACS311SAAAKtWlDQ1BJQ0MgUHJvZmlsZQAASImVlgdUU9kWhs+96Y0WCB1Cb4J0AkivoQjSwQIhCRBKCAkBxIbK4AiOBRURLAM6VAUrIGNBLFgQwQL2CTKoKONgQVRU3gUecea99d5bb2ede761s8+/9zn3nrU2AOTfWQJBOiwHQAY/Wxjm50mPiY2j454CCKABAeCBKYstEniEhgYBxObmv9uHfiQasdvm01r//v9/NXkOV8QGAApFOJEjYmcgfAIZ19gCYTYAqALEr5ebLZjmgwgrCpECEW6b5uRZ7p7mxFmWzMREhHkh/B4APJnFEiYDQJ7ORc9hJyM6ZDrClnwOj4/wdF5XdgqLg/BWhOdlZGRO82mEjRP/opP8N81EqSaLlSzl2b3MGN6bJxKks5b/n8fxvy0jXTyXQw8Z5BShfxgy06bPLS0zUMr8xIUhc8zjzMTPcIrYP3KO2SKvuDnmsLwDpWvTFwbNcRLPlynVyWZGzLEwM0yqzxX5hM8xS/g9lzgt0kOal8uUauanRETPcQ4vauEci9LCA7/HeEn9QnGYtOYkoa90jxmiv+yLx5TGZ6dE+Ev3yPpeG1cUI62Bw/X2kfr5kdIYQbanVF+QHiqN56b7Sf2inHDp2mzkY/u+NlR6PqmsgNA5Bt7ABwQhPzoIBdbABlghT6TCbG5e9vQGvDIFy4W85JRsugdyg7h0Jp9tMY9ubWnFAGD6Ps6+7nf3Zu4ZRMN/9wnOAOASjzgvfPfFPwXgRAMAMqe++wwRJcoEAJ1H2WJhzqwPPf3AACKQBYpAFWgh35MxMEcqswfOwB2pOACEgAgQC5YBNkgBGUAIcsFKsBYUgRKwFewEFWA/OADqwGFwDLSC0+A8uAyug15wFzwEEjAMXoEx8AFMQhCEgygQFVKFtCEDyAyyhhiQK+QDBUFhUCyUACVDfEgMrYTWQyVQKVQBVUH10FHoFHQeugr1QfehQWgEegt9hlEwGVaENWFDeD7MgD3gQDgCXgonw1lwPlwIb4bL4Wr4ENwCn4evw3dhCfwKHkcBFAlFQ+mgzFEMlBcqBBWHSkIJUatRxagyVDWqCdWO6kLdRklQo6hPaCyaiqajzdHOaH90JJqNzkKvRm9CV6Dr0C3oi+jb6EH0GPobhoLRwJhhnDBMTAwmGZOLKcKUYWowJzGXMHcxw5gPWCyWhjXCOmD9sbHYVOwK7CbsXmwztgPbhx3CjuNwOFWcGc4FF4Jj4bJxRbjduEO4c7hbuGHcRzwJr423xvvi4/B8/Dp8Gb4BfxZ/C/8cP0mQIxgQnAghBA5hOWEL4SChnXCTMEyYJMoTjYguxAhiKnEtsZzYRLxEfER8RyKRdEmOpEUkHqmAVE46QrpCGiR9IiuQTcle5CVkMXkzuZbcQb5PfkehUAwp7pQ4SjZlM6WecoHyhPJRhipjIcOU4ciskamUaZG5JfNaliBrIOshu0w2X7ZM9rjsTdlROYKcoZyXHEtutVyl3Cm5Ablxeaq8lXyIfIb8JvkG+avyLxRwCoYKPgochUKFAwoXFIaoKKoe1YvKpq6nHqReog4rYhWNFJmKqYoliocVexTHlBSUbJWilPKUKpXOKEloKJohjUlLp22hHaP10z4rayp7KHOVNyo3Kd9SnlBRV3FX4aoUqzSr3FX5rEpX9VFNU92m2qr6WA2tZqq2SC1XbZ/aJbVRdUV1Z3W2erH6MfUHGrCGqUaYxgqNAxrdGuOaWpp+mgLN3ZoXNEe1aFruWqlaO7TOao1oU7VdtXnaO7TPab+kK9E96On0cvpF+piOho6/jlinSqdHZ1LXSDdSd51us+5jPaIeQy9Jb4dep96YvrZ+sP5K/Ub9BwYEA4ZBisEugy6DCUMjw2jDDYathi+MVIyYRvlGjUaPjCnGbsZZxtXGd0ywJgyTNJO9Jr2msKmdaYpppelNM9jM3oxnttesbx5mnuM8/rzqeQPmZHMP8xzzRvNBC5pFkMU6i1aL1/P158fN3za/a/43SzvLdMuDlg+tFKwCrNZZtVu9tTa1ZltXWt+xodj42qyxabN5Y2tmy7XdZ3vPjmoXbLfBrtPuq72DvdC+yX7EQd8hwWGPwwBDkRHK2MS44ohx9HRc43ja8ZOTvVO20zGnP53NndOcG5xfLDBawF1wcMGQi64Ly6XKReJKd01w/dlV4qbjxnKrdnvqrufOca9xf+5h4pHqccjjtaelp9DzpOeEl5PXKq8Ob5S3n3exd4+Pgk+kT4XPE19d32TfRt8xPzu/FX4d/hj/QP9t/gNMTSabWc8cC3AIWBVwMZAcGB5YEfg0yDRIGNQeDAcHBG8PfrTQYCF/YWsICGGGbA95HGoUmhX66yLsotBFlYuehVmFrQzrCqeGx4c3hH+I8IzYEvEw0jhSHNkZJRu1JKo+aiLaO7o0WhIzP2ZVzPVYtVhebFscLi4qriZufLHP4p2Lh5fYLSla0r/UaGne0qvL1JalLzsTLxvPij+egEmITmhI+MIKYVWzxhOZiXsSx9he7F3sVxx3zg7OCNeFW8p9nuSSVJr0ItkleXvySIpbSlnKKM+LV8F7k+qfuj91Ii0krTZtKj06vTkDn5GQcYqvwE/jX8zUyszL7BOYCYoEkiynrJ1ZY8JAYY0IEi0VtWUrIo1Pt9hY/IN4MMc1pzLnY25U7vE8+Tx+Xvdy0+Ublz/P983/ZQV6BXtF50qdlWtXDq7yWFW1GlqduLpzjd6awjXDBX4FdWuJa9PW3lhnua503fv10evbCzULCwqHfvD7obFIpkhYNLDBecP+H9E/8n7s2WizcffGb8Wc4mslliVlJV82sTdd+8nqp/KfpjYnbe7ZYr9l31bsVv7W/m1u2+pK5UvzS4e2B29v2UHfUbzj/c74nVfLbMv27yLuEu+SlAeVt+3W371195eKlIq7lZ6VzXs09mzcM7GXs/fWPvd9Tfs195fs//wz7+d7VX5VLdWG1WUHsAdyDjw7GHWw6xfGL/U1ajUlNV9r+bWSurC6i/UO9fUNGg1bGuFGcePIoSWHeg97H25rMm+qaqY1lxwBR8RHXh5NONp/LPBY53HG8aYTBif2nKSeLG6BWpa3jLWmtEraYtv6TgWc6mx3bj/5q8Wvtad1TleeUTqz5SzxbOHZqXP558Y7BB2j55PPD3XGdz68EHPhzsVFF3suBV66ctn38oUuj65zV1yunL7qdPXUNca11uv211u67bpP3rC7cbLHvqflpsPNtl7H3va+BX1nb7ndOn/b+/blO8w71+8uvNvXH9l/b2DJgOQe596L++n33zzIeTD5sOAR5lHxY7nHZU80nlT/ZvJbs8RecmbQe7D7afjTh0PsoVe/i37/Mlz4jPKs7Ln28/oX1i9Oj/iO9L5c/HL4leDV5GjRH/J/7Hlt/PrEn+5/do/FjA2/Eb6Zervpneq72ve27zvHQ8effMj4MDlR/FH1Y90nxqeuz9Gfn0/mfsF9Kf9q8rX9W+C3R1MZU1MClpA10wqgkAEnJQHwthbpE2IBoPYCQFw82y/PGDTb488Q+E8821PPmD0A1QUAxHYAEILMVe5ID4IMCsKhyBzhDmAbG+n4p4mSbKxntUitSGtSNjX1DukTcSYAfB2YmppsnZr6WoMU+wCAjg+zffq0yR0CwD3X1soq+EbOzgLwL/YPB/0JzX4r1FUAAAGdaVRYdFhNTDpjb20uYWRvYmUueG1wAAAAAAA8eDp4bXBtZXRhIHhtbG5zOng9ImFkb2JlOm5zOm1ldGEvIiB4OnhtcHRrPSJYTVAgQ29yZSA1LjQuMCI+CiAgIDxyZGY6UkRGIHhtbG5zOnJkZj0iaHR0cDovL3d3dy53My5vcmcvMTk5OS8wMi8yMi1yZGYtc3ludGF4LW5zIyI+CiAgICAgIDxyZGY6RGVzY3JpcHRpb24gcmRmOmFib3V0PSIiCiAgICAgICAgICAgIHhtbG5zOmV4aWY9Imh0dHA6Ly9ucy5hZG9iZS5jb20vZXhpZi8xLjAvIj4KICAgICAgICAgPGV4aWY6UGl4ZWxYRGltZW5zaW9uPjUzMDwvZXhpZjpQaXhlbFhEaW1lbnNpb24+CiAgICAgICAgIDxleGlmOlBpeGVsWURpbWVuc2lvbj4yODQ8L2V4aWY6UGl4ZWxZRGltZW5zaW9uPgogICAgICA8L3JkZjpEZXNjcmlwdGlvbj4KICAgPC9yZGY6UkRGPgo8L3g6eG1wbWV0YT4KT/KUzgAAQABJREFUeAHsXQdgVEXXPemdHkroKEgXQUFAKYpIEUUUUcSG7bN96m/vXVHsfoq9ixV7AQFBRFFRUakCAgLS0kjdTf/vfbsvWxPehiSbXc5o2H2z86acmTdz3r137kRUSAADESACRIAIEAEiQARqgEBkDe7hLUSACBABIkAEiAARMBCIJg4uBMrLyxEZSW7lQoTfiAARIAK1g0CB3Y6cAhty8m3Ilc/ComLYjL8S52cx7MWlKC0rQ5nMxeXlFSitKEN5aYVxXTu1aJi5REZGYEC3Thg3+FCjgsXFxVj6/TJkZ2c1zAp71YpEwgmITQZ5xt48JMbHo3mTFC+YeEkEiAARIALeCOQUFOLfjGzszNiLXdm5MofmIz07B+m5efKZL9e5yFbykFeAMmrRveHzuX7jlotwTP+e+Pizz7Fo8bc+vzfUCBIJZ88oE9ZQJAyZgQgQASJABIDikhL8szsTW3ZmYLPxl45t6Vn4Nz1b/rJQwPmyVofJDiFkGrZt216r+dZ1ZiQSdY0w8ycCRIAINHAEcgtt2LBtF9bJ3/qtO7F++y78vT1dpA2ysEXUjz1+hagyEuJjEYkIRImKOSpaPiOi5LvjuoFDuF/Vi4gQ1cYhnTBp+ACffKJjYpCcmOgT35AiSCS8eqPAXoSnP1rgFXtgXHZunVqpozswWsxWEoEDD4F/dmdg9aZ/sXKL/P29Deu27MBOUUf4DRF+Y6uMjI2KQgtRDbds2gipjVOM701TEtEkORGNk/QvAY31e3ICEuNikWD8xTg+Y2OhCyqDJwI9e/TAJRee7xnZwK5IJLw6JM9mx/1vfu4Ve2BcPnXltAOjoWwlEThAENiRmY3f12/Fr+u34PeNWw0CkSf2YDUJKjFo26Ip2rdqjnapTdG2ZTO0bd4EbfW7xLdq1sggCzXJm/eENgIkEqHdf7VW+7bNm+LEof1qLT9mRASIQP0iUFJaij82bsPP6zbjt7+2YMWGLYYBZKC1aCLSgm5tW6Fr+zbonJYKlVR2TmuBjkIg4kVqwEAEvBEgkfBG5AC9vuTkYxAdxeFwgHY/mx2CCBQWFQlh+Ac/rtmIZav/NiQO9uISyy1RNUTPzm2Nv0OENHRv3xrdOrRGyyaNLOdRVULdSl8mP+pGDVVXlIk0w14O47NcbC5EiSH2DxKPChSUlss2T00HxMg/cVGRUOmHGa9lxEQBSZFRkl8F8sskb6fZRrTEJzvjC6RMycoIkoXEO7byu8drVIozvlDSlzjTR0t8ksRrXQvLy1CslZcQJXVKkh/VbsMu5dqlXhrEbAPJVcRr+ihJXyTpbc702rYUqVSkfPGIl7w0fbTEN4qpQJT0SSgGrhyh2Gu1XOdmjZJx+jEDazlXZkcEiEBtIlBaVorfRE2x5I+/sHTlekPqYHVLZXxMLPoe1A59urSTz/boJQSiW7tWNVq4ytTPgyyUuggrQdBFUhfgElmY84UR6GJeIXEJsgrHyeKsPiHyJNK59iNBjShlJS6We/MlE+dajnhJH2ukl3hJb5KFOFlbE2WB1ba6k4gYWfwTJb3mnOdOLpQUKBkR8DV9JbnQxd8ZXyDxJolQspCozEPakF8qJMJZISNeFnltW4G0ucgZryRCF3+Nt0nmlWRBykuUeCULdmlzoUkiJF7rEyE3KokocMbr2EiR9CYWWn6oBhKJUO25Wqz3BeOGibFTXC3myKyIABGoDQQ2yO6JRSvWCnHYgB/kz2ZB4qBv8we3bYn+4uDI+DukI3p0aBMQaVCJQoms5CWyGuuCK7IAWWgjjbfyPHOFlwYm6eIvi2SpxCmJMMlCosQ7SIQs8l4kIl7JgpICLxKRIPmUa7wfEuEdryRCF2cNmr9ZJVmXDbKg8d4kQhdtDd4kQuMNsuBFIgyJgyzuhUoinBIKJRGa3iALXiQiRSqlUpYiJREqYpGg1EDziVbipCTCrKjEaz4aX6KESvJqrowpRAOJRI06Lg5XnXMKJvRtj0QUYeeWDXh/9pd4O9N8jKrOtKzlYKycNQXxG77BITf+ic9euRIDGuXgtevuwc2byjBq6EB0s/+DZ37dXXUm8kt5ci98/MBJaLFrBU6/9yvsqCGZTRSd5znjjqq2LP5IBIhA/SBgE3XFD6s2YuGva4y/7eLsaV9BBe99D26Hgd274MheB+GIHp3RLCV5X7cZv6uqoET+imXh08VU3+5t8j1fFjyJNoIuhDGy+BsLnttCWEkinAuhOfslisSBJCIwEqFA13AKd3RSkP8lkahBB9z3wG04t5vrQe3QqRMGjTgSnS64Aw9km4I6/xkPHdEPqfpTu04YXbFWdIVOqitR5RE98cD/TUUaMmCfeB9ejjIfTd+8br7+DAxKkzqkHY/HRv+EKfNr5kr1rOOHoIlsy2IgAkQgOAjszNqLeT+twvxfV+GHPzfIm6trTvBXIxEM4NAuHXBUn64Y0rur4X8gOSHeX1KPOFVJlMtyVS56B9X354pEoFimGNdbszigkumrwPk2rTc7SITrrdnMkCTCMTcrdvsriTAxDeVPEokAe08lCuMNElGGpa/Mwgt7O+HaM0eiT0o2tmRUoLxxL3w9cyJyvv0GWzsdgeO6NIUtexveePJVPPOvPKWmFY881AUVGzB39Q60brELn28sw2VXjxESoaEF7njxKvR89W1cu2yXTw3Lkw/H6b1cROaoiWOR9vVbAUslosVS6cITR/jkzwgiQATqFoH14vhp7k8rMW/5SqxY/4+hP6+uxM5tUnF0n244+tBuGCIEwgr5LxURu5IClSQUiyQhWqQKIlwQ0XuZf9G7pFMDRzOQRDiQqEt1hjvWKhEK1UAiEWDPRYgHOIdddBQOGXEMjpm/BNP/c4tjERcV1xCxN+jTUmQOk6e4cpatlbc8eTPiLrwfy8xYVYdFpIlf9fZIjWuFE9ovQO9B7c1fEd2iIyaMPMgvkTj//JGGVMO+azvyUtshtXVf3NzrXVy+prTyfitfJg87HG2aNbGSlGmIABHYTwRWbd6OT39YgS+X/SnuptMrc1MjPO8QHx1tEIZjBvTEsfLXoWVz7yQe16qiUEM+UVCIcaPYDYi0wd3YT/XxatRXpf6eJMKxC0MW8/qyiTA70CRs2oehanBJImH2psXPyPzf8fX6vaLaaILUzj1xzkX6B2z96XOc8uACl8QBNsx77iU8vKstXrpxIjrEtcCE4zpgWZF7QcVi0KTXKmLMwLi75mLj/WOR4rz30XkbfRRnFeiEaUNVblGGr+59DL+cexPuO7wFRk0dCdw63z3z6r+LePPSk4+tPg1/JQJEYL8QWC3k4bMffsen3/8uZ1ZkVJuX+nIZfUQvKHkY0vvgan02GLYNapsg1pB2kTCUlEcYOwZ0p4HuGHDfSUAS4YBdsVEsGoJhpTkQTBJRKn3pM9mbiULgk0SiBp10y0134vOjhuKy447E4d3by+AEOgw6Ac+fsBr3mvntXYdbhQjsiNiId9eNxHWHNkGaiCTxi5nA9zMi2wZTprB1+SaskoHvHQafNhbd9YkQO+pRd92IEUmON5WUHkNxU9OF+7TR8M6P10SACNQuApt27sGH3/6Kj5f+5iF58FdKzw5pOH5QH4yVv16d2/lLUhmn2yvLREVRKlKHPDFmMCUOsjQi2bljwCARThsHnSVIIhzwNXQSoTtPmnHXRuVYD/sv5S374ev7TkLhki8w6Y5H9FHFOy/cjaObRSBGvb45bHDESqkVxshbwstRsTikpWNrZVGGmz97f/ZUCUAlsyv0hbJCbCeuGtut8oeU5obZpvO6CSadczgeePznyt+r/SJOYZ75aCEevuyMapPxRyJABPaNQLocl/2JSB0+/PYX/PH31ipv0K2ZA3t2wfgjD8UYIQ/tq1FZ6BbMAlFTFIpdlW7BjJe3ad12aBPdRaVjJCmJJMIBt0kW9KqhbvF01NS/Eauf90YzeYP/rFy3GnxNG0gFex3eH32aNQUmTsO/J0xGnqgqUpIcQyAnKw+Qn4wQnYZ7PrgP/1cUi6ZJCnMZln29CujtPN1NHKwkSWyMI7Xs3hDBVmYudLNXChJw1st3osecNzDlww3OFEDrUcfh6EZaVgb+d/3zWBwZgwh7PjoMm4pHJh2CtMEjMP2R5dXu9qjMTL68v+QXXHPGWNpJuIPC70TAIgJFcsS2Gky+t/hnLFmxXhSULkNF9yyUPBzRvTMmDD0M44ccWu3zps6bSkTtmFdcilyneNLd2M8gEc4tmOoVgSTCgXQokghVZ6j/iHAIJBIB9uLaL1/GrU2n4spxA5AaH2eoNcQOGiu//gCnfZuFIyc6MrTn7EZeXEukGiRDXNl+/Br+s6YQZQXrkTflECTs2oL5EUU4W8/PSSzA9qwKRNrXYvkmIQZdkhEf3wgd2rh2ZmiuzRxZI+O7r/HA33ucV8D3b32CqWOuwwBhI7bK2H1/KRUHLC98uhi3n+us9L5vYQoicMAjoIdfvbvwJ3z83a/IlUP+qgr9Du6AiUf1N8hDmtg/VBXsspjYlByIsV2F7O0sFA+W/hwgkUQIcXI6oQo1Z1Nm37vbRKg6wwy6nTaUd21EiNGOKYw323RAfmbn5iNfdmSk783DhFuetIRBWotGhgAiOz23cuvlkaddgjlCFPL++Bjd716Mwe1Tkbc13a+9g1lI78QIrCp0dUNaaiqaVuRhdYafSSpJ1CQFHhabzmzi0Dux2CMfM//qPtUh1fIX77S0nay6fPgbEQhnBDJz8/D+ol/w7jc/Yb14m6wqdGrZAicP749JsiOqS1pLv8l0ylX30OrHwfTZoAuMqi2q2jFAEhHeJEK9gzaKli26zrM2Hnn8SWz8+29j/PTt25fHiPt9ksIkckeGEAhti5tya+lfm0U9cQhsuQ4jh2XbZJuX2+/+mu5OIvT3Henpjnz9JfZLIjRhkZAIfzdUH1dYXIzXvlyKKyePrj4hfyUCByACP635G2/M+x6fy84LNXb0F/S0zIlHDcApww83XFL7S2PustBdWntLSsXGwTEpqEieJMKBWDi6vTbHQnWSCMPFuBDLUJZIULVh9nQtfUb/MRe9T5lbS7nVTzYvfrkEF504nOdt1A/cLKWBI5BTUIg5i3/B60IgNvzr31W9epcccWgPOexukLFlMzbGtHbybFyRiK/zdZGQP/XxUCiGksUkET5nahzoJEJtJbhrw/PZ4VWIIZAlap13Fv6M88YdHWI1Z3WJQO0hoLst3pj7PT5a8ivspeZGbM/8u7ROxZRjB+LUEQPRulljzx+dVyVCFvLE93SuSjBEY6lbMF0kwpGIkgjXQVskEY6TUfchuPY71hpKJCUSDaUnglyPZz/5BmfLuRtRTh1dkKvD4olAvSCgh2R9+N1vQiCWYuXmf/2Wqa7kxw3sCz2XRs+28Bd0t4W6oc4R/w66ZVOD+04ChyTCFU91hgMLkggHiXCgEbr/kkiEbt/Vas31lMFPvl9hGInVasbMjAg0QAR2ZeXg1a++w5vzfkC2qDL8hXYtmhrkYYqoL1KbNPJJon4e1INkmfypZ0l/vgv0JpII2ZgmLygN5ihw6ROVEtXFUeDmILFiE6HqDNPEXk9MpY2EiV4YfKbIKXo3TzshDFoSeBPiq9DzBp4T7yACDROBP//ehhc+W4xPxOtkmZ8Na2r7cFz/XkIghmLkYT38Tu7FQiByisrl3IoKJBjbEUki4kX8olh4kwV11tjgSISIQRoaidBj15WYRoaoRJgSCa/5Lkl8Q1x28iivWF4SASIQqgjoBD1v+So8Lz5Tfl63yW8zWjZOwZmjB2PqqMFIE0mEd9BdF7pVM0ccPBSJ0WSUeIY1fRpQEkESYY6XmkgilEQoqaVEwkSRn0SACBCBBoJAns2Gdxb8hJe+WIJt6Vl+a9Wnc1vZsTQSE4b0Q4ycuOkdVG1hF+PJLLF9kP+NEB1JEuGEAg1CElFWVtk3VRqxSs+lNFBJhJIIPa21aaweCR2awffJCc12sNZEgAgQAQMBPffihS++Ff8o3yPf7uvUTdUXYw7vKwRiBAb26OKDmkow7GI4qedb6PlX7l4URbVOSYQTsQZDIpznFoUyiTBtJXwGY4hEkEiESEexmkSACFSPwLY9mZj18Td4d9HPsBeX+CROiovFGaOOxPknDEcHP4dlqcMp3bZpEyM4PSBLA0lEBOKdovd8YVYNThIRRiSC2z99HllGEAEiQATqB4G/tu3E/+YskLMvVvg9OKt9ajOcP34YTh81CCkJcsSuV1CnUVlySJZNdl6I8TySSCIMhBIEDJIIx2DRXR7Rcnpaiai63A/a2h+bCFVnmJKIBMmbNhJeDyYviQARIAJ1jcBv67fgqTnzMe/nVYjQIzK9Qp8u7XDFpFEYO6gvIuWt2j2o+kJVF1nis7rQ8D0VAXefBpREkESY46U+SIRKwIxjr+S8lVAMVG2EYq+xzkTgAEbguz//wuPvf40f5RwMDd4k4sieBwmBOA4jDuvug5ISCHVRbdMdGCKJcJ7ITRLh5tOAkghTTuDwN1HXkgglEbptdp+HMvmM5oYTQSLRcPqCNSECRKAaBJb+uR4Pv/sVlq/b7JOqQkTOo4/ojStOGYUBh3T2+b1UCER+ieO8i/IKsYUgiYCx7VBwUyzMpZMkwkSifkmE9kET7trweW4ZQQSIABGoFQR+WLUBM9/+yq8PCHEthJOGHYbLxfdL9w5tfMorlgla7R9KxfdDgqHecCycoSCJKJZtp4XOiqrAW/Xx+nasR5AXSLvMYOrpvfX3SbKNwTxZ0tuLIkmE4/2/ElPBusAcFAJsfakzVBKhJEK6NKQDJRIh3X2sPBEIXwSWrd5oEIif1jpUGO4tjRUPgKcfeyQuOfkYvzswbGIAkSXHdReVRyJG9M6JhgdKNHhJhC5sUUoW3BY2kgjxE+F3d4Z4F3XGqwVMQ/cTYXIFNaw01RnuJCI0rSMcTyWJhPvsxO9EgAgEHYGfxPbh4Xe+wg9CJLxDjEgVzhw9BJeLCqNNsybeP6OotAyZsurYynRaljdycR4VSiTCkDiQRBgSAd3FUKDOpqokEY6luTZJhCmh8JbumFKfUqcqyBx4+5T6OJ1N7YtEqCtx7towUeUnESACRKCGCPwitg8z3/4SS0WV4R30BM6pxxxp2EB4u7BWa3fdgVEgOzByxIiyrMLxbhcrKwxJhANJPRQqfNQZKomoGxIRI9KCYJAIPY+Euza8n3peEwEiQAQsIrBmy7+YMfsLLPx1jc8dSiBOHzkQ/z31OLRt0czjd92BYZO3VfU+6Zj8lUQ4kpBEuAwoSSIcg8JDReQm9dERY0ocgkUiuGvD49HmBREgAkTAGgKbdu7BI2/PxUff/eqzhTNKxNpTxAvllacch3biUMo9KIEokB0YBSKGiI3xPZ6aJIIkQsdPkYyTQmWZEho6iVBjWO7acH/K+Z0IEAEiUA0Cu7Jy8Nh7czF7/k+GJ0p3PxC6C2PKMUfgv5NH+xhRKoHIl4UhSwiEeqBMJIkwUN6nnn4/t3jqrsR6Owo8CDYRwVRneB+7Xs1j06B/orFlg+4eVo4IhA8CuYU2zPpkEZ6X8zDspYY7ycrGqR+Ik47qj+umjkWXNi0r4/WL6o71zVKNKNUWQg3T/C1slETUviRCSUSS6O+9Fzx3L6C688BUKcmmk8pDzdy9g+qBWrqlUoO/Y9eDZVjZkEiESk1CNZBIhGrPsd5EIEQQKC4pwWtzv8cT4o0yu6DQp9bHHNYDN545Hr06t/P5Tc/BSBcCYW7zI4lw+Y+oD0kESYRjSO4T6wB2Z1RFgrlrw+fxZwQRIAJEAPhk6W+4/43PsD0j2weOI7p3xs3TJvg9ytswehPxw175M531kESQRESK7YNdyKXNOSj0LV79R4SiTYQpxVFJWpIYFYdyoEQilHuPdScCDRQB9QVx16uf4I+/t/rU8OC0lrj5rAk4fmAfn9/sYk2vfgPUe6O7sx6SiPonEapSUiNAc8GjOsOP6qgWJBFKIhRr+V+dSfg8E6EQQSIRCr3EOhKBEEFg0449uO/1zzB3+UqfGrdu0hj/d8YYYztnlOjd3UOhLFgFwiA03tttMElEcEiEu+0DSUTdkgjFujHP2nCfEvidCBCBAw2B7PwCPPruXLz21VJ5g3U6c3CCkBQXi8vlNM4LJwxDQlycBzR6FkaGOJKqECdSCSQRBjZV+TTYp57eKcUx0Q/0AC7TsFLfjkki9nFOiWIkardKrKtwe10dCTYlEe5YezwcIXRBiUQIdRarSgQaGgKlZaV49avv8di787C30NOQUrdyThs9GNecPgYtGqd4VF1P48y2lyFPXrbjZBJOkLMwKImo2jESSYRjyQ4lm4h42apijmt3FZFpE+FN2EJTqeF4rEkkPKY3XhABImAVgfnLV+FusYPYtCvd55bRh/fCLWefiIPbtvL4TX1B5BQ7fEHoD+6Trb6Z0bDS10UzSUTokYi4AEmEqo64a8NjquAFESAC4YzAX9t24s5XPsKSP9b7NLNXx7a4c/pEDOnd1eM3fftSQ8rddpfxHkmEy/aB6gwHWVBPE7V1imdVmJrxdXkAl57x4u17oypJhLv9icdDE0IXlEiEUGexqkQgmAioHcQj76gdxPeGR0r3uqSK6kJ9QZwm52JEygmd7qFYnEnli8dClUSYSydJhIkE1RnheABXTUiE3qPbW0MxkEiEYq+xzkSgHhEoExLwxtfLMPOdL7A33+ZRcnxsDC46cSQum3gMkhPiPX4rFgmEXUhEkbxs5svZGObSSRJhIkESQRLhIN1qQ8FdGx7TBy+IABEIFwSWrd6IW16YA1VneIcThhyK284+yedQrSIhHjbxgF0uRyWpD4J8dSrlvJkkwkSCJIIkwkUihG+HdKBEIqS7j5UnAnWDwI7MbNz7+qfimXKFTwE9O6Th7gsmYXCvgz1+U0PKrCJxKCWx8aLe0G2gJBGRiJZdKepgq0DeOs1g6um9j62mYaVjRQ2l3RmBbvF0t4kIh62fOqZJJMwnm59EgAhAz8V47tNv8bici2EvUUrgCk2TE8UO4gRMleO93e0g1JBSCUOGkIg4OZaTJMLr2GqSCChxUv1/oai7KIlwSSJMr6F6nlmo2kfoDEEi4Zon+Y0IHNAIfPPbGtz64of4Z3eGBw7qD+LccUNx7elj0Tgp0eM3Pfdgj/iDEBMIWHGAxC2ekfB34iQlEQeWJEJtIkx1hvuJqR4PVwhdkEiEUGexqkSgLhDYnp6FO176yK9b6yN7HoT7LjwV3Tu08Si6TNQYGeLSuqA0wjgjgCTCtRDq2zfVGZCDtBx2IJREQMijHsfukkT4IxHcteExxfCCCBCBUEBA1RizPlmMJ9+fJ7srxDrSLbRp2hh3nDcRE4Ye5hYrBpRCIGwij90j/iAcGv+KBiuJUAc/BaVlYp/gaILnwuY6mlxMGJDiFL3bdKeJU96s036yrAB6sqRd2+2c/VV/X0kWJH2BM71HPNUZVGc4uKUlEpEv46gxPM+f8XjwGvgFJRINvINYPSJQFwgsXrEON7/wgY8aI1pOIvzPhBG4cvJoJHqfiyELZq7YQuSKHsM5R5JEkEQYHhkLZKeOntqqwZOw0SZiX5IIJRFudrgOEEPsXxKJEOswVpcI7A8Cuhvjzpc/xhc//uGTzfC+h+DeC09BFznm2z2UOt+6daHIk7dykgjZhUFJhCHFMaQ+JBHwdwCXFXWGO4lQiVaoBhKJUO051psIBICAOpV66YvvMPPtL1FY7LkbI61ZE9w1/WSMG3yoR46qxnAYhclWTlEPqKEkSQRJhEocVBVEEgFYcXtdlWFlgZskQjHlWRse0w8viAARaEgILF+3CTc8+76PUylVY1x84ghcdaqvGiNPDSlFhRErC0aZ6PtJIpwGlJREkEQ42fT+kgjREhrBJGYNac4ItC6USASKGNMTgRBBICsvH/e//hlmL/gREWpR6BZ0N8aMiyeja7vWbrFAsRgnqiFllMxucSQR4puThpXeCx4lEfsvifDGVB9C9cciYgmP5zFULkgkQqWnWE8iEAACcxYvxx1yQmd2fqEHiWiekmzsxjhl+OEeuakaI1O2N6gNRIKSCPVMSUkEd2d4vTWTRNQNiVA1B3dteExJvCACRCBYCGzemY4bn30PS1dt8KxCRQTOGTMEN8gJnd5OpXJFjZEpXil1zUgUz5QkEV6eKYOkzjBOkJRXV+daDvdzSlTv7twwgljZNZgUFWW80bq7XHY39nOPF0ETkk2fBl56erV90KALm/dbM0lE3ZEIE2sD/BD8hxKJEOw0VpkIeCNQIn4gZn28CI+9N1d2FDj34TkT9e7UFg9eMgX9Du7gcZvuxthTJAdsOZMfyCSiqIH5iVASkUcS4dcLqHlOSalTYmYO6n16B3ViWmkwLOq+eCFOBtZCzCQ7I+zP2RnVGVaaZMHdJsKdsIWmUsOBGYmEOQr5SQRCFIFf/9qMa595F+u37/JoQYIc8X391HE4f9wwsXlwObtRXWyBzGp7RAphTqoHOokobEDOpkgiHHYp/lyJhyuJUHLBXRse0xcviAARqA8EcgtteOCNz/H6vB9kFjIpgaPk4wb0wn0XnYK2LZp5VEVPocy1lyJXpBDmHSQRDiQagmFlKJEI9QLKA7iqd3vtLnFwl0To4WXuEgolSKEcKJEI5d5j3Q9YBL4Uh1K3vfAhdu3NcSj0nUi0bJxinI3h7RNCz8ZQFYa+eeeTRBhur1WdQUlEzWwivF2Jp4hBhp6poYe42Zw6AiVmGq8uxq1grUPYlDh4H69uxtdEnaEn05qkOaEBqDOURPhz285dG85JjB9EgAjULQLqmfLW5+dg3i+rPAsSY8qzjx+Cm846AY0SEyp/090YdplF7SWQ0waFRLg5laIkgpIIHSj+3pqrM6wMNRJhGqs2ZBJRKHZNjWJc6sfKBzhEvlAiESIdxWoe2Ajo28qrc5eKKuMzFBR5eqbsJr4gHr50CgYc0tkDpCIhDbkigdA3QpIIedsN4O3YQ80hb9gFgqUZzLdj77fmfRr7ST7+HHuFmjrD/VCzhi6JMHutoZMIsXkO6UAiEdLdx8ofCAis27oT1z3zDn7b8I9Hc2PFgPKq08bg0okjERPtepRNnxAijECMbPNTcTAlEdZF7CQR/g/goiRi30eB+5Pu6ENblTpDJREmidBxF6rBNfuEagtYbyIQpggUyTHfj38wH0/PmS8+A0wtr6Ox6plypmzp9D5gK198QmTIbgz1ORBLEgG1AKAkwjFm3I39/C144ajO0OcgXp6DYG7xtEIitG9COZBIhHLvse5hi8AP4lDqenEspQ6m3EOTxETcdu6JOP3YI92jRepQjt2yG8NeFiHOiUgiFBySCNfx1AcqiUgIERKh6jJu//SY0nhBBIhATRHIzi/Afa996vd8jJOOOgx3nXcyUps0qsxe1Ri5pRDPlKpkJYlw199TEuEYJiQRwXE2ZVUSoSRCd7xw10bltMYvRIAI1BSBT5euwK0vzkGmHLblfshW2+ZNMeM/k3FM/54eWZeIAeAukUIUy44NDZREONQ/lERQEhFKkgglEWp/0kh9modooGojRDuO1Q4fBLanZ+Gm597HNyvWejQqQuaVC8YNx3VnjEVSfHzlbyqFKJDdGOmGZ0qSCG8jQEoiHEOFkojQkES4j9/KhzzEvpBIhFiHsbrhg4ASgpe+WIIHZ38BW7E4enALvTq2xczLpuDQgzq4xUK84VVgr73M8Exp/hAykgjhPOZhUVUa+8kx5v6c9bhbt+uJ6Hq4lPkmR3WG4002X95qzV2qJBENl0To+DXVGe4kwvFKYD7VofVJIhFa/cXaNjAEimVnRWxMTMC1WrPlX1w36138vnGrx73xso3zmtPH4uITR3icj2F4phRbiAI58lE9U5ohpEiE0w0wSUSEHNXu2EnQ0E7xdF/YlJ6Eip8I95NR1VeH8G0j1OcBXFZsIqojweYzHYqfJBKh2Gusc1ARKCwqwlMfLsSbX/+ArNx8pDVvgotPOgYXjB+2z3rZi4vxyLtz8ezHi+V4aNNdjuO2YYd2w4yLT0PHVi088rHJxChCCHlTd/iDMH8kiaBNhI4FSiJcxCxUSYSq47hrw5zZ+EkEwhyBxSvW4YZn38X2jOzKlu7I3Is7Xv4QmUIqbjhjXGW895elf67HDbPew5Y9GR4/NU1KxF3TT8YpI47wiNfjwAtKKlAhxhK15UVR/VHo2QMmhanJm1yivE1r0ElbBCRGUDuxJGe8+8IW7RTjaiJKIlwLHiURkcYR4TU9O2N/xm9SdJSxQ6LK8Svj2nkYLFSIVp06Tsf1/koiTJse7tpQNBmIQBgjkJmbhzte+RgfLfm1ylY+9eHXOHFIP/TomOaRJkt2Ydz9yid4/9vlHvF6MenoAbhz+kQ0b5RS+ZvaTuQIgRBbSsRGkkRUJw42J2Erh0KpDlp109GSoUp36Pbav50J1RmOR7E+SYRdnvnGhueTymkgpL5QtRFS3cXKBgOB9xf9jDtf/Qh7823VFl8hC/9dQjbeufPSynQfLvkFt7/0IbLzCyvj9Ev71GZ48D+nYXi/7h7xenriHtFjxMnbfawseJRE0LDSlPq4L2zuUh8aVoamTYRJgpVE2EQEUhHnMRWE1AWJREh1FytbnwioV8kbxbvkUvEyaTV8t3I9vl6+Ct07tpF738e3f6zzuFXeAQ1DymtOPx4Jca6ZQ6UQWbJdIVckEUmyYsSQRMiuDJIIkohIwz38/qrjGqo6wyQROklw14bHVMkLIhDaCJSWleLZTxbhsfe/ht1rW6aVlv3f/2bDZi+GvVS2WbiFPp3b4uHLzkDvzu3cYsV2QKQQ6eKZUnbvGaJ3kghxb00SUWl/QknE/tn0hAqJMGwkPGaG0LmgRCJ0+oo1rQcEflu/BdeLQeTarTtqXJq3GiM+JhY3TB2H88cf7bOlM1PUGPnl6h6XJMI8BZEkwmXEShJxYJAIwy+K2EOFaiCRCNWeY71rFYGcgkLMePMLvD7vB5ExOrci1EIJIw7rjhkXTUb7ls09clNbiF1CIhyi6wpKIpy+MUgiSCLiZEGtjd1FoSKJUBIRJQOfuzY8pkheEIHQQuCTpb8ZBpEZsn2zthSVzRol457pkzDx6P4eYOhxxjmyHSNLtmCaQXcSUJ1BdYb7dsSgSiJ0YZPzH6zshNExXNX4NeN1i6dudzXDPv2f1MIW5VAjEYq147xaE6XQ+qREIrT6i7WtRQS27MrAzXLGxbd//uWRawXS8PBtp2NS9zj87/wZeMwemIRiysiBctT3SWianFSZr75t6HbOHDGodJ9UzcmWuzNoWNkgDCudb8e1TSLMJ4gkwoGEGlaakggTa+7aqJwu+YUINHwESsQI8pmPF+HJOf6MKVPw5gvX4ZjIzXjtHVFzjB6I4+b/jPk2cyqsun2d26TiIdnSOaR3V49EpWJFWSh2l+q4Rl1cm4EkwoEE1RkNRJ1BEmEMSPfttLXlbMp7d4Y3idCCuWvDMR/wXyLQ4BFYtnqjsaVz4449futa1nEghjXLxLUTn0LvR+/BtV2SYR/SCgfd+Knf9BqpYuBLTz4WV00ejfjY2Mp0uqXTJsShSIwpi0kiDBG4HrRV1wdwqXSHzqYCdDZFEmE8t8EkEdy1UTl18gsRaJgIZOTk4d7XPsV74lwqQl+BvcJVt9+D61qtQuu7dqIUTTGkTwIuf+gJrBxxKmac2hUHiSDhb9/b0L9rR8y89HR079DGI0c1pixUP7uycJJEOPTo9UUi6lJ1pDYueVW4GA9Zt9ckEcazG0wSodLJSO7a8JhDeUEEGgwCKhXQnRgPvvU5cm12DxJRkdoJD4zthpXfLMCj93yAcz84D18d8SBeX52Hi+65H0fvzsGWrEwMu+BJbPUiEUlxsbjprAk4d8xRHoftaHmZstBUiBTCcMVMSUS9SiJIIhySCBXJFznVaLqpsEq31yQRxlwVbBKhcwV3bTSYZYMVIQIuBNQnxM0vfICVm7a7IuVbRVIn3DWmEWbtOQTnnDQUOGkc7tj1NzbssKP/9LPw1sS7cMWEY5G1eT0Wr93qca9ejB3YB/dceAraNGvi8ZsuYuoXQo+IJolQlQ8lEaZJjPuhZvWxO4MkwuGTQZ/JYBzAZdUmQiUR5lwhW7c85pNQuuCujVDqLdbVEgKqxnjgjc/x9sIfPSQQenOvbp3RqOIgnDf1BHSdeQueX98fF7XPwvxVhRg5Il5SpGGgqDKu/miBT1mtmzbCfRdOxphBfTx+K1EphBCIQvGF4D4x0LDSfDsuk7djB2R1YVjpveOlto1Yqc6wvsXTNCXm7gwHEirIrMqw0nuuaOExq4TWBYlEaPUXa1sNAmVy7PYrc7/Hw7O/RJ7dS42BFrKl80JM7dcKi5+8G4/9MhTXXXUu/nf6Ozh5znnotust9J7yElo1bYzd2TmepVRE4LyxQ3HDtPFISUjw+C1XVshM2dKp04b3xGAmrO2FrTac9YTLUeAkES6pj03UGXaqM4zHLpQkEeYLh5f21Jw+QuKTRCIkuomV3BcC38thWbe/+BHWbd/pk7T1wAn4/oZjofKGnd+8iDO/zULFktmY9MFlePayH3DV7LUYGt9RjtPa4UMienRIw0OXnIb+3Tp55FsqUohdIoIoUntK+YUkwgEP1RmurZz1rc4giQg9dYZJIjwmlxC8IJEIwU5jlV0IqFOpe179BHOXr3RFOr+dfuZU3DhuAOy/f4c3nn8UvzUaj1mnn4pLX1qNZ+wbcPFLf+KhgV3w09PPYZHX3fHR0bjm9LG46MThiI5yPSZqEFUgxpS71buUBJKIMohAxghhQSJE9xIv1vNUZ1CdEYg6riY2Ee4kQl9EImSHV6gG1wwZqi1gvQ9IBPJsNjz5wXy88OliqI2Cd+gx6jw8MqkLPntlNr5dtw1vb1S/ES9j8rgZuPGOsXjmpi+x9suXMeFL7zsBPR/jATkfo4PX+RgqRtejvvVIYw0kEWFIImRCJ4kgiahvEqEu8rlrw3cuZgwRqBME1A5i9oIf8dA7XyFLz8bwCuedez4u7Z6HG5bFyC+JOHLSZExoHI+H8zfh2mlP4YwZc/HIsZGGmsPudW8LPR/j/FNw4lGHefxSJkRFbCmRa/qGkF9JIkgikqKijMnffRcG1RkOeyF9gBKjI3CgHsBlur1WHKzOFY6UekfoBUokQq/PDtgaL/x1Ne4WNYY/r5St+w7BW1dPRvfETLz9+Bf4Zlk27m1yAnrmb8EnG5Lx+B0nIq2j+Hb4ax5u8DxaQ/aDRuDs44fgRjGmbJyU6IGvw7EUxBbC6WBKfrU6Mbj7NNinFbtIO3RBcth6AwkyCauInYaVLvuTOjOsVHUGJRHGuK/KMNiMNw/gMsfpPsf1AXoAl+GMLsC5onlclMfcE0oXJBKh1FsHaF1XbPgH977+KX5c87cPAj2PGoVnp/bA8s1N0L1RJh6+4WMcc8u1mNf6UYx+/U/Me/5cPHlSJB58bBZe2+6rAunVsS1m/GeyjzFlsUghCg0PhpEkEcKcdAub6nALSimJoCTC8RiSRDjolL5YWN3iaU5gJjFzJ8eaT6gGEolQ7bkDoN5//7sbM976Al/+9KdPa8tTe+G9m87A0R2TseOnz/HIzI3oN/tKXPvgBVj39Xu49demuHN8DO55/BX8uu7vym1xZkbqmfL6qeNlW+dRiBIRtRnUM2VOcYXhxCZKJAI1EVFSEuH/nIdkkftbPZ7aXerjPtlqP/mbhDV+nwubt9SHkgiFzQhVYWrGUxIh4845fmvDsFJtIrzHtdkXofhJIhGKvRbmdd62JxNPvP813v1mOcrlP3/h/y6ZhN7lu5GOZOT9s1E2bm7B5e+txYKz0vBPXF/cdHEcbnryZazenedz+6SjB+DWc040fEa4/1ioninFykpVClHyoJNEUBJheqaMFa5JSYTjadknYaM6o0bbwblrw3025nciUEMEdmRmy9He88Uj5U8oFRG6Z4jD4K6N8c/6Pdghr6uP330PHpcEx067Aq+fNg3TZ9+Hlz9+Da8Pug7Lf1mMD39Y53m7XKlPiPvEtfWgngd5/KY+ITKEQOhR37UhotTM9znZer8d0ybC6BNKIkR15Bz67ttp6WxKn6nQ9hNhSne8JRHmXMFdGx7TMi+IQGAI/JuRhWc++gaz5y+TSdSbQABHHjsZb1061Nhp8fPLD+LkL1xOpxa++Sp+HHc3rrnlKLw84zvcdNO9PoU3SUzEtWeMNQwq3dUYugMktxjIEkmELmAkEQ7odAGjTYQDC0oiXAbA5oLnrebg7gyXrYSSBfPsDG8/Ef7UGe6YcteGz9TNCCKwbwQ27dyDp+csxPuLfzZ2J/i7ozyiJ54SErHlo1dx7Ju/+0mSh+k3PI2I9M0+v0XIC8y044bg+tPHoZls7XQPReJOeLe9XPSUjseXJMKBDkmEyzMlSQRJhNr01JVNhDuJULuqZty14T5F8zsRqB4BPZXzuc8W4Ysf/5Djtr3TxmFIiwh0O/da3Nd+LVo/uhctUYQP3//DSFghh2rdPKEFHvjMZYCZs22jdyY4UtQX95w/CT07tfX4TZ0N7RWvlNluTqVIIhwQkUSECIkQVZxNVGMaalOSZorevSUO3gueo2T6iajJFk/Hk+Zf9al9GaqBxpY16LlCscDatDMLsTHRKC4pRs92LeScBscwWL45Hbn5uRjco4M4ZFGnSEC+nGP749pNGNmnC6IkXYX8t2F3Orq1almD0kPzFt0NMW/5Kjz36SIsX+crPTBbdey0S/H6yUm45qZfUPrAGLzQ/DUxpIzDOTeegMVP/4YzbrkKPQuXeRAJ81797NCqGW4/ZyLGDurrHm04DlKnUntL1Bai9ifhfU62tInwa4CmT40pDvbWHZsLm3d8wFiH0+4MJRF1MH5NrEki6n53RlXj12PCCrELEokadNhLC1ZhxvMvVd75y8u3ok3jFhh5/f+w/m/X2/Gy529F++bN0W3K1TjlmOH470MzseaNZzF15ntolZCBxy+/rDKPcP2SvjcXby/4CW98/T12ZO7128yTTpqEyY22Ytobv6BPt2aSJgVXjdiGNzeV4NyLu2HAg3Ox4IYxePyew/Dw6y/hv8t8DSlT4uNx5Wmjcf64o4XgOQicWViRiA1tIvkoFHVGXUzCVU0MlbpjkohKslAsfWDqjkkiAjSsJIlAstPgskDGkVOoKFuKHTY9+rzrM14bZ7/UlzrDXbrDXRvmjH2AfK7auAXnjhuEm8+ZYnggVGnEsi15Bon45eXbhVQ0M0jFmKtux6o3RH9fYcdt8pa88Mdv8N36THy3bC62f/hK2KKlRoxL/lyP9775GV/+/KefHRieTe986GEYeegw/H3kQPwhk2X27ly0P/4krLx6HkofOwF3Rd6J3qfM9bzJeRUdHYVzRg/FVUIimqV42kHoomUrqUBZPeo53ScGwz0wSQRJhFN9Zy54hmMveUYC2p1BEhHWJELnCpXaRrr5tPE74TXQSEokatAxuzIy8Pmff+DVL3+Su8uxbvZD+OWvzeJq2Y42jZoaOV548nhcN3ONofK45aKLcdjZl+Has8/E6TfdhR9eeBy5RSVoFOf55lyDqjSoW1Zt3o6Pl/yGOd8ux54cX/8NZmUr0AnvPTUFJfPewbTP/8Ejz36JC2YJKYtJxaDmjbH0uZeRcPF0XDh0Gybe8SxWrvKVZFTIAn3i0MNww5nj0blNqpm18amHeGWLHYRO2PVpLEUSYc33BiURJBFJ8gKg2x2rOqdEjQ+dGhzZBSHqhjCWRJgvHJRIeEzj4X/xyR3nifhMLR2ATpOvxqtfzUPzVqqTd+xzVgRsdtlXqM6U5GG5dMxh8vcMDjr7Flw6+QQMvug2I+3Dl0/E1JEj5HtoBpU8rNiwFV+J58kvlv2BbelZVTakAi0wdWgC3v5+G8o7HoRD09og5byrMbfp8xjzxjK8uXo8rmi+DqPP+hirC4vQfM1M5O74t1J86Z7xUb274uazJ+DQgzq4RxuMPlu8UuoklCizD0kEIO4pDImAAuVPHGy8HdPtdcN1NkVJxAFBIpRQNeWuDY/5POwvjrj0Xtx9/slo26q9YWLZTo6bHtm/E66LiMUtL7+Hk48Zjdv+NwvTxw8Vs2p9/wJuf2cphvdujuknHIe3vvgQ8+T34y+/JOSIhJ64+eWPf2LxirVY+ucG5Nm9z9D07P5eLRphdUYuylseiof/bxz6bL4ON2gS+ybMfDcf151zEZa3eB/9//c1TrrvaDSPUAIGZG7/1/h0/6df1464SdxaH9W3m3u08T1PHEplitJUeFudu7KlTYRD9qK02XQbbMULKCURlERQEuGYuvzZTzlWCp+pLSQiqNqoQTeNH3YULrj/BePO3l1a4uTBQwzC8PYDt+GMm+4RlccyDOnTEfdOn2ak0d3YL773BnZ8+JzIKOQch4jmOHL61Zj/xM01KD14t8z9aSX++8QbKChyLPbV1eTGay5Ai9+34uRLx6Fk+0rcdfen+DR7PE4683Dc8FoJEN9FSASQvmU78g4agYmJj2LwhUv8ZqkHa10nDqWOO6K3z+92kYrssVcYfuvdF7ZgGEuZIkqe4unrlIckomGQiCSR1KljJO7OcJHghjJX+ExuIRQRIXoqx+tFCFW6LqqaLW/a+YU2EYdHIq1Vc0tFKCkwt31auiGEE22V8y9GXjkD9mIhAX5DCm4652js/mwuXszujj8/uAibn3wWURdcjAGJDq6dXVCBpkk7cenVv+FJMaJ87vZbcf/qfL+5aaQSiP+bMgbHD+xt2Du4J9SJMKeoFHvFrbUGkgjRKTuN+qjOcJ3QEi8WjgmiX1f/IaryComzM+pInaEkIpYkosHOFa3joxDplGA/8viT2Pj338bc1rdvX1xy4fnG94b6DyUS+9EzBwqJUIh0B4Y3iRh8xGGYOmwAujaLwYYfv0OTEcfh8hMH4/jv05Eq3h8e/OYvFByyAwOG5eG2x9fhwv87CYklLdG1xRYcd9V9WL/NP4lQ24erJo/GaD8SCD0XQ/1B5MoeL93SqYEkgiQiXhZJJQt5ot5yDguQRJhIiAMkkogGP1fwrA2ji/hPOCOwy8sHRI9x0/HB+X2Rt/sfbMhPwaRzL8DiJ2fgqX5TccWwLrCv+RpvR1WgfPYiPHT8NAyIeBGDp36H+LhI2GXHir9wdJ9uuOKUURgqn96hWAiE+oMoqYiEcYCRSCQ0kEQ0XBKh/VPrzqaULMg4MMWoCXQ2pTAbwXQq5ePAiyTCwKehzxUOP6XOzgyxD0okQqzDglXdTm1aeBS96peNyDu/Fz6/90lcu6MM9z32KM4d0x9n3vQo1tiuw6zju+OE8q/wef4vOPa/2/Hvvw4dhF2MIt2D7qw46aj++M9JI9Grczv3n4zv6gtCvVFG6n+idvI+BdE09msoes4EnuJZ2YfqelwPMPJe2Kpc8EQNEStqCG/9faVhmlPiQBIRIT4oXI69FPAqMSWJMMZjQycR+SJJa6qHu4RoIJEI0Y6r72oP79cdD7z1RWWxUXtW4PfCk3HcyT2Ap1chJQEoy3dIGj557X3kLI/C0kjHlP/vv7sq7zO/6CFa00YPwVmjByOtucP3hvmbfpaIEWWubOVUd9aJMeIPQvbH2OVNVBcZHbSqStS95ape0gO4SkT5bQxmZ7wSlGJJXyyLjxmvuy2iJb5U0hc589FtN4my2MVIfInE29zSG/HiKEbVKTbJ33jMJX2CpI0VUlMmeagnPfPxF2EL4iW+XOKV8OjkpX+ql06QfMrkYBH1rKmwuMerSNMu6SMkXusaKz8mGI5pHHp9M14dGplHKRdK2/S1XNMb8bJgaCgU3CrKpZ0aL1GaPkL+s8kWT2mGES9VMbBzxIvdgDNesUgWIqRY29ywNuIlH43X3RnF0gYDU81H2qZYK3ZFHn3girdXgXVlvNQ1URoRYzjlcWDnwDoC8VJGnB+sjXipU7lgqmNEknlgqljbJd7EzuwDxVq3wVbGS0O0zzQUSJvNeLUzSVQAJXhgLVFmH9ilDPnfL6Ym1to3Si69MRXIDKy1d+zSN+ql0cBU4lOkXNWVK1lQL43e8d5Yu4/fSky1/s5x7TF+pT0m1mU6rqVvzPEbL/V0x9ofpgV+xq+qlHS8m9iZ41exVuzM+GgZ+IlOh0uKdeX4dcNUnycTU+0DVcnom7pNxnUlps703uNXmivbvh1YVzVXeGOtc0hN5wp3rJOk8OgA5gpVxcVJH3vPFTreQjEYY9S74uoh4ddVa/HPxo1o1iQZgwb0R2JKEyOZChX/WLmmcvDJ8oEeXQ9GTHyi8XuWrRTrfv8eQwYP987W2LEwf/ESHD/0CCAmEWs2/4PSfF89eesWKWjZpoPP/dsyc/DTd4sweEBvtG1/cOXvC5b9iFGDDpOZJK4yjl9qF4HeIi1IbZyC9EpHU3mY+8tuHH3Mmfj6kCKs/FP69dUFRqERRVvw7Qr/5Q/s3sUgEBOGHOrjytr9jhiZcJoLOfE0e9VJxV8IPN5TvmLmGSm2Hf5CpHjB8B+auz0J7ima+Y2P9GqP646mftMDTaqIryp9VfFNjGXWVZ75LdB4x3Jt3u3+GXgfuN/t/t0/djoWzCXPPXUk1Km6b6iqPkBVGAUaL1TNt1iJaXiYVjV+qx6PVWHt+Ty6ml9VnwWKaVXpg4mp/2e/qvFVFdZVjV/I+PU/jlzoNvxvfonEWVdcJacduMJ7cz7BSccejjETz0KGDXj++eddPzq/nTZ+OEaOmYQ7H34IJXt2Y8hh/YTqN/ZIp/d+POdDyTsHR46YgCcefbSK6a0cs558Qoioq7MybBW4/87b0Sq1JRYuXIR7rr8MLdp3w8/rt2HO7Lcx6vA+JBIeaNfuhTouOqZ/D7y76OfKjF957XUseseOf3ZX7YhKE7cUAjJp+OE4/dhB6NqudeX9/EIEiAARIAKhj4APkdgjC7aSiJQk4KEZT2D33gLcM+M+tG/vkBAYkib5feTQfjjp5KnY8M9OPPXUY3jvi0VCJE5GcmISsuX38nLVa3sG89642Fj5LQKPPDxTZNglePqNt7FlzUocO7Q/xpxwqohkRezlRiI0lx9/Xyn/ZuHO25/A5ffcj21ydHRKu6545amHceEZ40XCIRVmqFMEjh3Q04NIROzdgX+qKFEP0RozqA8mHj0Aww7thkiVpzMQASJABIhA2CHgQyTMxT6voBQb/1qNgw/pif/NuN+n4b27dkBcXBx6d+uE5p26IHvLJpTmVf9m6p1JclysKEBjceTRxxhEoqfkmZzsnxB0bq+GeM3wrahGVOKRmNIOV958C9JSY9B/yGjvrOvses3atZj1/IvCf1w7D7wXST18xV+wks47jebjLz/vdP7S6L2BposWlUKUnJ4ZIW2oUEWuVxjbWhTz1YRY8aFv5KEjSxxRffL2Snz6tnoKV0xc+ek37/zFqYmqTb2CxHiRSkOJ6paX3mAtP9GZS14+ZRgR7rGSm6uqjvpI3byDUV8fgiTpvJMaeXll6Cc/I39vzEWH7V4X1TtH+JQpd+qYc7tXs49QpbF7sFqmNsBCGyLURsC9ckZZRsHupTrzcs9Q6uVVNb3UtrkHI86tTfqb3zGi93lj4pVXZb77ys9fXnJzheDreRaCbxsMt6qVBbl98SrTAMSzqU48vECx2Abvcq2OEX/4eudV2QqvNkRIz/tUT40hvF4f/fWX4ujdfEeEe6wvvkZ9vQr12wbjaAL9xRW0+j5j1SuvytTebZV07jUzGu493uRm3zEikV55+YLmLNUrXVFRUWV1yspKkVtQgARZb2OiPZdse3ExStx9+0i9EuPj5GXc9eKm48FmL4IeaWCGyMgoJCbEeYxptXUptNmNdpjpoqW8BMnPPZRKPio8hO8AACUISURBVMYREMac7vjFs1YS1yxOOlkW84j8AjzyP4cKIyUpGg/ceQei4htV5rdKzljo1MOGFes2GiQCKEV0SlUatMrb/H4pLnaAZnMDzzthr3bNMPbUKZj9wduYPnUKflj9t9RxL2687WHsysxEy0ZJiIyJ976t1q/feX+OnGZZ6tEBPhOg16AwK2ElnXcavddzAnPk5p3OXxpNGWi6Emmb/lUVYlzj02+SCpFEleifi2f5TcdIIkAEiAAR2DcCahyek1eI/AI70uQ4BjMoMUjPyjEvKz+LZfJt3ti1VivZyKy0batMJuSoQjQIYojmDHn5hUJYCs3Lys9WzZt42LNl7c1DkdcE70Mk9O5nH7gfmfk2LFiwEN8snA+VTlx+3dWY9dRLlZkv+v536J8ZLj93ivm1zj5PHD4E+rd9bxFenX09zpl6Di694SaYZ2jOvONaJLdoX2fla8apqS2Qnp5ep2UwcyJABIgAESACikBaWpoBRLxK8N2CSptVQuH94hcX47msx0RFy8uoSGLdJAgSAZU2uIdYuTYkSG4vwirZiHLutDHTxsqp1fskEnvl+OU5s1/E+eechykTT8DEieNxlRhfiuWkvN6qaMTxStomNQXTp18i12Vopw2N9KyUWWhtfxaK+OWe24REnHIcmrbvKiSiSAjOs/iv2E2sWrVCjDjrlkhcetGFeFekErt2+25prO221nd+UTKQ2rVpg1gRoVUV5i9cKNKGqiUWVd3HeGsIxIr90KhjRlpLzFREgAiENQKtUlNx+OEDDKm0t9RZr1u3aOohdfZOo+BEi7q5nRz74C6d9pcuQVQd7RJa7jNdE9FYNE5y7NI0wfdZ/Zf+tgq//LZa/q6VHRLNRWHh2JqixpeI0O8ObdGp449Fu3ZtzXwqP/MLC4zvl91wV2WcHqc969EZsh/fJUZx+xFFzkOgIrz0a+5pzO+33jtDUuVjyIgTsHZXrkTHIGPXHuwVu4m42P5msjr7VHY29fTT6iz/hp7xt0uXNggiEd9YdgTl5KD6s0cbMJqiJmyCPOyVA8fcgxoiTxg/zj2K34kAESACVSLgjxT4S1yb6bzz8iESJwzui5Ypl+LF557B7vRMoz4Hd2yNa/7vWuO7kBsjNGnqf3ftmFHj8NnsVxyJKv9VKUYFkmIdBjCNUjy3hfbudjDU1VGfPuILopqg0gjbnl2Y9cQzRqoerRuhU8/DcNt996F1UiQOGzyqmrv5U20iENfvNDx+/lBXlvb1ePWXeJx7VAdnXB6+fe5RvLMqCxWtR+GJWyZg52f/w4Nfb0CcuNF+5PxBTooqdjYfvYTnv9mNSx65G4mfP4fCsRejb4JjrGhmK9/9BB2njMaSu27G5wlyeugVU9HZ+fuGha/g0Y+345KHbsVBm7/AtbPmY/jVM3Bi/ue45oWlPmU3PmI6ZkxNwZ1XyY4kVxFSp321B/j9zQew8+hLMbajY/xuXrQAjUeOcvNjYMOHd32IUXdMwrd3PYqO19/sW6cXt+O8my/CwNYOo+KCzQtx66Ofhi4hco0AfiMCROAARcCHSCgOA3sfgoFPiR8HP6GReA6bVcVvmnzc4H7y5/9enTr93dupeZLfeO/iE0WU433/DZdM907G63pAoOj393DTvetx6a3nAQvexDOL1+Pwi25D+aZ5uOyxBZhyx4MYMWawEIkvMGLy0VBlSafjRqPVvA2oSFU3S1vx1C0vosnYc3HWyedjxPJHDA+A0bDhlfvuwCGjLsB/RkTj5RnP4c/SQ/GgU1p16tlnoHPxWjx126uoOPYC/Hfs2Zj8+wyjxUk9T8Blg1biJxFTxCc7jI18ym4iKjp1mecV/LZn+k3Ajh/wyBvLERtbjE1ZXXDvtMbY+e17mL0lFu3yfsePC5dh/H9uxMjyZXjw+QXYGt8P490ka951OvScs4VE5OPdGfdgTYujcHy7bJIIr77gJREgAqGFwD5s8EOrMaxt/SKwd/d25Mn2xLLc7dgraoYS2WIU2XEIrr/yMvRvEYn07XtQkXAExnVrgrVzFyErvhtOPVKsjo0dHWViSZyD79/7AbKxCT17uqyR7RK/JVO8l4n9y9bte+XUUUe7KpCGg1pHYuPcD7BGdvis/eojbBZK0q1ba8SIpKwoKxe9p12F0W1ixA12aTVl+8fJpz2lspsobQiuueFKXPHfM9El+wd89stWtBl+Gq4553h0btkI9pwMZBTLLp7SPGyTesNZVy3BX51SUxuheM1cLEqYgNsvOAGDjh6OfrJTioEIEAEiEKoIkEiEas81kHqLxwmpicM4M0b1Xvnp2BvRFI1EsrB0wa/oKYdxqWyg23HDDBVA77FjZSuRVl5cYIudw9DThiBJ0q5Z41Cj6S8aTHNPTzvlTOzIrsDBY05Fz0bx6DFmAjqLse+K33aJQVEEtn35IuZsKkP7pmLJLKq0qsuOQ5uWTdC+XaqaEHsEz/ZILXYswf33zMT9D7+MTYm90KFiEx659SH8lBePgYN6G/eau4Y8MpILf3UqzC9CbM8xGGlbjMc++A1RSW3RKYVEwhs7XhMBIhA6CPhVbYRO9VnT+kYgMSEBBeJjxBGKZWtwRaWNQHp2IYoj/sTzj3+PaXc/hHFTx+KvjmnY8tljYhuxRewVxoitxAj0Klwpy/8huOK+uyUbtZF4DYvzKtBDD1kqcfgUMfK325Gna6y9UGQTcmCX/PvGo7ORdrMcVX7fg/JDGTYsnI0vM8pxsNwrMg4sePwF9H34KrTIsmPEEVWXffHtdxlFrBK7h6d/MnfgeLbn352yzXfoMNx82zAj7co5byG6+3Bcc8QIo+y132824gvl0KVSkws466pCl1KfOuXgh7deQO/bL8GUG28x7s3dsBCLpf5mSEjyb5Bs/s5PIkAEiEBDQ0C2jYoFIwOyc/ORX2iTk+AikSZbZRj8I/Du+x9g8ZLv/P9Yj7FB3bUhOy7i7bn7Z9tQxa6NkSOH47RJk+oRSRZFBIgAEdg/BKja2D/8Dri7x48dgxbN/J+3WJ9gqB1F0LZ+7i+JUKAkD++tn82bN8e40fXn7r0++4tlEQEiEL4IUCLh7NtAJBI20b9vKy1GjHj9KikvQbdol3OO34vtKCjOx4DkpqJ/d+yVLZD0K/IzMSS5udjzG17qsaU8H50j9Xi00Au5uXn4fO5XWLVyNQoKfV2qhl6LglvjpMRE2frcCxPGjZOzZpKDWxmWTgSIABEIEAESCSdggRCJ5/7NwNML36uEetHZZ6I5GmPivC+xafeWyvivJb6VmBr2eX0WJvQahKUbvsZ3p9+EC3/8CWkx23DXgFMr0/ILESACRIAIEIFQRICqjRr02rpd/2Ja/0Pw89mX4M+zLzVIxPLiCoNEfHP2WUZcl1adMPmdWSKL0IP9bLhugHjdjIjFz3JM+89/zSOJqAHuvIUIEAEiQAQaHgIkEjXokz352Xjzt78wUCQNfV//n9CEEqwwDvKyoUWFQzQ97fBhyCmOM1QZVx9zBka8/jjOGngSLnj/acw95wZx8k0b1xpAz1uIABEgAkSggSHA7Z816JC3ho8Q6jDcoAL9hEy8s/lHNGt0mOTk4mV24yhu2dYnm2Kmt0vD9LOvRv93X8OFg4fhuNdfMNLeP1pOM23drwY14C1EgAgQASJABBoGAq6Vr2HUJyRqMerTt/H93n/xt/gJUADT5OyQ48TNt7pRenD1EvxRXIYZ82Zj2mG9RJ3hcDDwwIYtGNkhBlO69kHT2DwsELXIzMVfhUR7WUkiQASIABEgAlUhQGNLJzKBGFvO3LAebyxbYNzZo1UjvDt6qhCGSPxgK8N/3n/OiB/UsQVeGDbZIBLlIrvo+/pMrDr7enGrVIFB774uJ54W4KOpk3FQdGpVfcN4IkAEiAARIAINHgESCWcXBUIkzF5VUqDbORmIABEgAkSACByoCFC1sR89TxKxH+DxViJABIgAEQgLBEgkwqIb2QgiQASIABEgAsFBgEQiOLizVCJABIgAESACYYEAiURYdCMbQQSIABEgAkQgOAiQSAQHd5ZKBIgAESACRCAsECCRCItuZCOIABEgAkSACAQHARKJ4ODOUokAESACRIAIhAUCJBJh0Y1sBBEgAkSACBCB4CBAIhEc3FkqESACRIAIEIGwQIBEIiy6kY0gAkSACBABIhAcBEgkgoM7SyUCRIAIEAEiEBYIkEiERTeyEUSACBABIkAEgoMAiURwcGepRIAIEAEiQATCAgESibDoRjaCCBABIkAEiEBwECCRCA7uLJUIEAEiQASIQFggQCIRFt3IRhABIkAEiAARCA4CJBLBwZ2lEgEiQASIABEICwRIJMKiG9kIIkAEiAARIALBQYBEIji4s1QiQASIABEgAmGBAIlEWHQjG0EEiAARIAJEIDgIkEgEB3eWSgSIABEgAkQgLBAgkQiLbmQjiAARIAJEgAgEBwESieDgzlKJABEgAkSACIQFAiQSYdGNbAQRIAJEgAgQgeAgQCIRHNxZKhEgAkSACBCBsECARCIsupGNIAJEgAgQASIQHARIJIKDO0slAkSACBABIhAWCJBIhEU3shFEgAgQASJABIKDAIlEcHBnqUSACBABIkAEwgIBEomw6EY2gggQASJABIhAcBAgkQgO7iyVCBABIkAEiEBYIEAiERbdyEYQASJABIgAEQgOAiQSwcGdpRIBIkAEiAARCAsESCTCohvZCCJABIgAESACwUGARCI4uLNUIkAEiAARIAJhgQCJRFh0IxtBBIgAESACRCA4CJBIBAd3lkoEiAARIAJEICwQIJEIi25kI4gAESACRIAIBAcBEong4M5SiQARIAJEgAiEBQIkEmHRjWwEESACRIAIEIHgIEAiERzcWSoRIAJEgAgQgbBAgEQiLLqRjSACRIAIEAEiEBwESCSCgztLJQJEgAgQASIQFgiQSIRFN7IRRIAIEAEiQASCgwCJRHBwZ6lEgAgQASJABMICARKJsOhGNoIIEAEiQASIQHAQIJEIDu4slQgQASJABIhAWCBAIhEW3chGEAEiQASIABEIDgIkEsHBnaUSASJABIgAEQgLBEgkwqIb2QgiQASIABEgAsFBgEQiOLizVCJABIgAESACYYEAiURYdCMbQQSIABEgAkQgOAiQSAQHd5ZKBIgAESACRCAsECCRCItuZCOIABEgAkSACAQHARKJ4ODOUokAESACRIAIhAUCJBJh0Y1sBBEgAkSACBCB4CBAIhEc3FkqESACRIAIEIGwQIBEIiy6kY0gAkSACBABIhAcBEgkgoM7SyUCRIAIEAEiEBYIkEiERTeyEUSACBABIkAEgoMAiURwcGepRIAIEAEiQATCAgESibDoRjaCCBABIkAEiEBwECCRCA7uLJUIEAEiQASIQFggQCIRFt3IRhABIkAEiAARCA4CJBLBwZ2lEgEiQASIABEICwRIJMKiG9kIIkAEiAARIALBQYBEIji4s1QiQASIABEgAmGBAIlEWHQjG0EEiAARIAJEIDgIkEgEB3eWSgSIABEgAkQgLBAgkQiLbmQjiAARIAJEgAgEBwESieDgzlKJABEgAkSACIQFAiQSYdGNbAQRIAJEgAgQgeAgQCIRHNxZKhEgAkSACBCBsECARCIsupGNIAJEgAgQASIQHASig1Nswy21rKIcOwvyGm4F67BmsZGRaJ6QVIclMGsiQASIABEINwRIJLx6NNNuw9lfv+8Ve2BcXtB7AP7bf9CB0Vi2kggQASJABGoFAao2agXG0M9EpRFn9ugd+g1hC4gAESACRKBeESCRqFe4G25hEw/uQbVGw+0e1owIEAEi0GARIJFosF1TfxWLjADO69Wv/gpkSUSACBABIhA2CJBIhE1X1rwhx3fsirYpjWueAe8kAkSACBCBAxYBEokDtutdDT+/z2GuC34jAkSACBABIhAAAty1EQBYrqQxOK/vUIxr2xIJKMbujO2Y8+ev+LKowpWkim8V8Yfgm9OORcLO5Rg8fwten3wqDkvIx5sfvYWH8spxZNrBOKh0D97ak+s3h0GdB+Kizk2BUvPnMqSnb8LMtZuQaUYF8HlU247o1rRFAHcwKREgAkSACBABFwIkEi4sLH+77rgzcVabxMr0HVLTcITseOj4zmuYVVw9mejd6WCk6p0t0jC4YjtiUVaZTwXa4q5Ro9EGe2F/bTbmiO2CZ0jGpYMH4LBorx86dcPoLitw3BfLAiYTF/Tu71kEr4gAESACRIAIBIAAiUQAYGlSlSiMMUhEGX5Y+glesbfCVUf0R6/EHGwViURFTFu8M34Yctb/im3Ne+CY1BTYCnbj7e8X4K0CIRmlTuIgnwXYia//TUfL5Ex8lVuOM48cKCRCQxPcMulk9Fi2EPfu8pRMlOjt0cX4YfkSLMkT6pHWE2d0b4vo5h0wJvJHvFVePZExsnf+c2hqK/Rv5SjRPZ7fiQARIAJEgAhYRYBEwipSZrpSu1OrEIWuh/TD8DUrcfknrzgkASIo6H1wP/RqLKqHI0aZdwApjXDDKamIe+dt/GTGRsmXiCYY0ak1UqObY2zSCvQ6qLX5K6JT2mBc1zQfIuFIUIG9uTnYZBfSYC9yRNkK8HeZXHsJKyoz9PNFHVAxEAEiQASIABHYHwRobBkgehGl/2DBTocL7dTULpg2/CQsOvtSfD6kL5prXqbEAUWY/+0cnPTFYmwtVSlBE4ztYqRwlVhRCkPCgAqxtMjHWV/8KP9qcNw7bck6V1qPb3EYd+wpeH78qbixXxcoG7Snb8GPAZCIaERiQOs0j1x5QQSIABEgAkQgUARIJAJFTNLPnP8Gpi74Bt9u34V8p6aiw8FH4bHOblsoC7bg/n92Y3PmGszZ4aAHbdPaVltaRFFRpQ3ltp17sKkaYrDz301YvuVv/L4jHXbJNb7DMLzUIbna/N1/LEU5Ply/1j2K34kAESACRIAIBIwAiUSAkFXEd8Tbk6bh6mYluOKbDzHkrZfxfb7DLiEmyk1TFN8UI4zoGHRrFGuUYisocJXmsrF0xcntlTlU7spw/ez6VoiPF83D+Uvm4ewF7+OrTId6IzE2zpXEwrfX16xASbm/ili4mUmIABEgAkSACAgClesW0bCGQOe0buiV3Ajofzz+PFQUEiVAcrxDdJBTKLIBczNHVEvcMW06riyJQZN4NYgow/L124BWhzgKio6CnrMZ4yzWoBr2AmTJdTLiMHXK2ej+yzz8Z8MuZwr9iEaMZiWFXHjGRThPSEB0TGxlJxYWV8s+9EaPsMdWiM///gsnd+3pEc8LIkAEiAARIAJWEaBEwipSznRbNs3Hnb+uQboaN0TFColQClCM1atk0d/hkjjYCzORXhHvJBHF+P23L3BjdhFWbt9m2EGUZu8Um4ZS5AgRAWz4VzhIROkO/LrHZpQUH5OEdo3jje+uf/ZiVbpDTRIdFYV4J4koLSnA76sW4vytOa6kFr+9snoFKiocEhWLtzAZESACRIAIEIFKBCJkEeEqInBk5+Yjv9AG4xjxJZ9XAlTdl+bxCVCriBw5etx0BtWr+3i8PbAj8rcuwZDFq9AnOQUFeXnV2jt0ESnDJjcNQ/P4FMnXLrsyDJZRXRVq5bdHh4/BqI5daiUvZkIEiAARIAIHFgKUSOxHfyvp2ORGIjSrlRk7xJ0UkGdTE0i5zq+eRGgadxKh15l2uaeeSISW99KqX/WDgQgQASJABIhAwAjQRiJgyKq/ITJjBYa9vqL6RA3s19WZ6fh55zYMbNO+gdWM1SECRIAIEIGGjgAlEg29h+qpfi+u+r2eSmIxRIAIEAEiEE4IkEiEU2/uR1t+FInEWpFMMNQNAmVl4hLdZkN5eXndFMBcD3gESkpKjTFGs7cDfijUGQDFJSWwmd6U3UqhasMNDP0aExWJrk29PFB6pQnXy0VbN6FHc+NIsXBtYtDatTevAIXyACbGF6N5EzfHZUGrEQsONwQy9uaKY90ylApZbZykm8sZiEDtIVAu+zL2ZGSjIiICqTKHxRs7Fh35k0h44dw0NgFzJkzxiuUlEdg/BMrLHJKIMkok9g9I3l0lAmUVjjFWoWfuMBCBWkagQuYuJREayircthnKNVUbBiz8hwgQASJABIgAEagJAiQSNUGN9xABIkAEiAARIAIGAiQSNRwIJeLZMj07JyDjOZutSI7/dnimtFpsjujW1UjPalBDK9WVlpRad5etRlp6TyBGWgXiJyPQtmTl5omhjsO/hpX2qGFiRtZeaP2shiIxBsoMsC3qiCw3v9BqEUa6rJw8OcG9OKB7Ak2sRk2Ze/MCui1P2qHtCSRk7s2Bvdi68zPVw2u/BGI4qv2uTt8CCTn5gY19Y7xI3xcHMF6K5TkJ9DkulLGfLc9lICE7Lx+F8vxbDdoWrVdp5WnCVu8MLF1Nxn62jMlAxr6q83S8qMGx1VBUXIysnMA89eYVFCKvINCxn4uiorod+4UyT2Tl5lptupEuN18dJFqfK3Xu1nmvKICxXyJjK0PXsFrwSUkiEVD3uhKXygSkD1MgD4etpAgFfixeXbn6ftMF2x7AQNeHVhcgta61GoqkLXpPQAuDtL1QTisNJBTaimErsk4KjLbIAqcLl9VQLOnVqDEQLbFN2xIAwdG6FMpiXRTA4mu1/u7pdJELuF52wVj+rAadgAolfUkAbVGSajP6xfoOFLucA6MLcCBBx6Q9kLZI5oGO/RJ5TvQ5DmQyVdJlD4AUaJtthUUy9q33i459rVcgpCgQbM20NRn7+fKs2GWhtxr0+dXxoguX1VAk46VA5otAgs5HtiLrY8wx9osCeo5L5QXSMfYDaUtx4G0Rh4S2AOZXnbt13tPxbDUYz7GOfaf9ltX7/KUjkfCHCuOIABEgAkSACBABSwiQSFiCiYmIABEgAkSACBABfwjw0C4nKtk5opNy2iJEyxHf+woV5RVQ8aOVtGZeKkJSEWog96g4MEK23ESLfwtLQWT6KkqMioxERKRjq86+7tNdY2V6JHmktNtiMWXSFhUNBtIWvSdClA6RcnKppSD5l8o9gbSlXLa+lUuDDLycW5X2VVZpqaNeURb63cxLdddRgm+E4GwlGOoZ1bdIl+jJrVZCufSJDLEAMRaRa0UEoqKt1Uv70OgXaYvibCWoGLVcxn8gGNdkvKj6MELGpOJsJZhtiYqQsR9l8R4ZL7pt0ugTa7egTMaLQOxov5WKSRoDY8E60uoYk34vreEzqfNFlMX5QsexLAKIirHuCUDviRSMI61iLM+8Yqbp9T4rQedWnWMDm1/KDJWm1edL62G0X6oUpXOfhVA5xgKYX8sEL330A2qL9ouM+0iLz2SEFFAi876mj7T4vJjrUYyMSa3fPoNzPtZ03nMyiYQTPTWeyhdjHQYiQASIABEgAkTAOgLWaaj1PEMyZaPEeIMBy7uDpfqXyJtysRgExcfFCjuzdIsY9ZQaDDgpMc7aDZKqUIxu9I0sLtZaV5XLq5IanMXFxAgDtvaKVVpaIda+JeJ1MU6kH5a4qaMt8saQFB9jvS1iPBUpYMVbbItKStTiWdtuVSJTIm1RQ9PEhHh5+ZcMLAS7GICKHAMJ0pdWgxqC6ZtPXKy1N5kiKUM9DuobQ0Kctb4sLik3dt8kJVivl00McyNkDMTHWyujQtKqkVasvJHGWJRiqJRIx3JCbIzlt9Ki4jKjLckBjH2bXSUSFTJerI0xed83DDoDa4uMfTEETJCxH2l17IvBnUpkrPajjqkCMRpVSUm8xb5XSZQaQsbK2Fdvu1aCGjPr06v9qBhYCWoEq2+miQGMMZ2TokW6YLUMyd4wHNV+jLIoxajR2Je2KAAB9Ytgpm/ksTHWnuMymV/sMr8EMu8Xy3jR9SKguVIwVoFqQpy1sW+Ol5joaGmLtfGiNuxqNGu1LeZ8rOPKe32xNtqsjMgQTxMli0KzxsmWW6FbOTOKc9EkORExsmhbCboFSOYfKce6i2R7UaYMjBi5p5GVIgy1hhIJJStJCQmW7skXa/qinBI0SUmSB93aA2VsF5UHKpC2FNozZVGIs4yzWhUrkUhJTDQmeiuN0S1gSiSaNkqWhcEakdJtdrr7JqC2FO4xiFdjwcxKSM/caxAJneStlqPbH0vySy2n13rszthriDatlqGiWsN1d1wcUmQsWwlqTV4kY79RSrLlxUS3fqpKxGq9tB67SrJkEY22fI+Kw3VnSJKQyOREa2Nft1YrkdCxb1Ukrlt/dctgIG2xy9iPi42Ve1KsQGyQLiUSKQmJsshbe/EoLMqATjD6jDWR8W8lGGM/IrCxX2BLl8UnXjCzVoa+pOgOlJSkRGPRslIv3Y6dE+jYz8pWzaHlftGxX2DLQKK0pVGKtbGvu4jssl26sTwrOi9bCbr1t0S2cgYyXopLsg31lNV7dP6ypWfJuLc+9vW5VyLRVPrRitpFyyiUMjR4ry/WqIsVtJiGCBABIkAEiAAROOAQIJGoaZc7xaCm73Gr2ViUnrqys/hWbd5Q+Q6u1mABBiHoloPmrkZdgQRNHtAtZoUCqJdhzaiVMu+1XMHA2mI523pOGBC+HnULCGSPO61cVKjMOeDBr/fUpF+s31NhvMNaaYFXGutFGDdWSNsDm2ydBQRYjlct93mp2YvJ8D7TuScI+Ll33ly3I8y9hnX4PTCojIqogXnAQ1/uDATnQNKa6NRmf1C1YaIa4KeKKfWEvWiLVrWafbKoGuKireu79R4VuVq13NX0mlbFdPEWdWt6j+q6y+Qeq5beeo+2xTwkSK+thCZSRnS0NXGg5hct+j7FWPXEVoOeSNcEgWGWImLwClUABhCaiBosVsZAXYZEw/4msOUnJTkhoIVBJ6DGyckBjRfVj2q/qG7ZatDxYlUUbObZKCnZsA43r/f1qaosVTVZ1StrfmoXU54s4yUAwqKqE6t2G2adVQ0QCF5qE6QYx1m0DzHLCfQzKUlUQKpgDyDonBRIvVRl1FgwjrNot6FVMWxWLO4+MKveSPAKZJ3Xsa8qoIQAnmO1C9G2qC2C1ZAYlyBqM+vznubbWNRAVnfFaHqd91XNrvYOVoOOYR1jgcz7VeXNXRtVIcN4IlCLCKiNhBppqeFoy2ZNazFnZkUEHAhs35NhGIwrMbZqI0HsiIBVBNRGYofTRkLtCd1t8AJ73bFaItMRASJABIgAESACBwQCJBIHRDezkUSACBABIkAE6gYBEom6wZW5EgEPBGKc/iZiA9SVemTCCyJQDQJxTr19IPr7arLjT0TAAwG1KTFtibzHGG0kPKDiBRGoGwR0z7q6fFYD0ppYWNdNrZhrOCFgum+24hMgnNrNttQfAoZ7fJnLvH2ukEjUXx+wJCJABIgAESACYYcAVRth16VsEBEgAkSACBCB+kOARKL+sGZJRIAIEAEiQATCDgESibDrUjaICBABIkAEiED9IUAiUX9YsyQiQASIABEgAmGHAIlE2HUpG0QEiAARIAJEoP4QsO4wvP7qxJKIABEgAkSgDhAolwOklv+2AgkxnkeT20uKcESf7oiIScSqzdvRItqO1u0PNmrwx/pNSKwoQNdD+njUaOfeAmxe+yuGHHm0cbjaxu07UJid7ZEGKEHf3n3ld76zegETVpckEmHVnWwMESACRKBqBHbll+PVV17zm+C7jsm4+tp78eSjMxElBGDWk0+jXE7BevqpJ+QaeODmK9CkjYNcFIovgTtvu9k40XRg7+6ITEnFQw8+aKTzzvyp+29BdEpL72hehxECJBJh1JlsChEgAkSgOgTaJEfinnvulgU/ErfNeOD/27tj0CaiOI7jv0RMq4ltpA1pqhKVCnVQutWxgohOCgqCODgJThYdtDoKUoIUQWh10cHZzUVw0MVR6KKLCNFBxIKtkNRqr/jei5xNekWH3tA/34M77r28vOT/+Xf49y7JU9RY0O2btxTlulTe2eMXe9ey21vruvpF1jNxe+JOzRUXD8PVh3sPHsfLome3uB9Zi5/X1PTUjJZWovA2osj9CNv2fDjnYFeAQsJubokMAQQQaBPwhUF/sTf09ZTK+taYV/9AJRQHrYG+lFhv26bXr55p38hxfXo7mzioUupTxi0bnvuzxHxW/7+sdeKEdG4KAQqJTZEm3iQCCCCQloAvHvw1hX9vT56+kPyuFVWrQ6rXP7Q96fPXRV2+Mh737cj/Um1yOm5zYlOAQsJmXokKAQQQ2DCBkYMVnT4/7j4XcT3MefXSBc13DerR/bsdr7Gsc2fOKnI3PhaXfujI4eGOx2laFKCQsJhVYkIAAQQ2UODL3JzKxW6NHjupj7MvdeDQqJ6/ebfmFYaqfRobO7qmnw7bAhQStvNLdAgggECiQNLNDH+TY/UXNTvbF0+dkPy+zrj39QVduzERHveHZuO7ZqZq0lY+cBmjGDxZ/TdjMDxCQgABBBBIEhjctdd1++9o/C0psu48U8irUiq47qwrKjL66Ubs37PbHdu33oIb47ZsrjuMK5YGQrvZaLoCorVL/K8aUIwfWEbceIIJDwEEEEAAgTQFuCKRpi5zI4AAAgggYFyAQsJ4ggkPAQQQQACBNAUoJNLUZW4EEEAAAQSMC1BIGE8w4SGAAAIIIJCmAIVEmrrMjQACCCCAgHEBCgnjCSY8BBBAAAEE0hSgkEhTl7kRQAABBBAwLkAhYTzBhIcAAggggECaAr8BBItGJ1jwcPAAAAAASUVORK5CYII=\n", | |
"' width=700>\n", | |
"</center>" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"slideshow": { | |
"slide_type": "subslide" | |
} | |
}, | |
"source": [ | |
"#### Multi-armed bandit systems\n", | |
"\n", | |
"<center>\n", | |
" <img 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' width=700>\n", | |
"</center>" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"slideshow": { | |
"slide_type": "slide" | |
} | |
}, | |
"source": [ | |
"## Bayesian Bandits\n", | |
"\n", | |
"<center>\n", | |
" <img 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' width=700>\n", | |
"</center>" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"slideshow": { | |
"slide_type": "subslide" | |
} | |
}, | |
"source": [ | |
"### Beta-binomial model\n", | |
"\n", | |
"$$\n", | |
"\\begin{align*}\n", | |
"x_A, x_B\n", | |
" & = \\textrm{number of rewards from users shown variant } A, B \\\\\n", | |
"x_A\n", | |
" & \\sim \\textrm{Binomial}(n_A, r_A) \\\\\n", | |
"x_B\n", | |
" & \\sim \\textrm{Binomial}(n_B, r_B) \\\\\n", | |
"r_A, r_B\n", | |
" & \\sim \\textrm{Beta}(1, 1)\n", | |
"\\end{align*}\n", | |
"$$" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"slideshow": { | |
"slide_type": "fragment" | |
} | |
}, | |
"source": [ | |
"$$\n", | |
"\\begin{align*}\n", | |
" r_A\\ |\\ n_A, x_A\n", | |
" & \\sim \\textrm{Beta}(x_A + 1, n_A - x_A + 1) \\\\\n", | |
" r_B\\ |\\ n_B, x_B\n", | |
" & \\sim \\textrm{Beta}(x_B + 1, n_B - x_B + 1)\n", | |
"\\end{align*}\n", | |
"$$" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"slideshow": { | |
"slide_type": "subslide" | |
} | |
}, | |
"source": [ | |
"### Thompson sampling\n", | |
"\n", | |
"<center>\n", | |
" <img 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' width=500>\n", | |
"</center>\n", | |
"\n", | |
"_Thompson sampling_ randomizes user/variant assignment according to the probabilty that each variant maximizes the posterior expected reward." | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"slideshow": { | |
"slide_type": "subslide" | |
} | |
}, | |
"source": [ | |
"The probability that a user is assigned variant A is\n", | |
"\n", | |
"$$\n", | |
"\\begin{align*}\n", | |
"P(r_A > r_B\\ |\\ \\mathcal{D})\n", | |
" & = \\int_0^1 P(r_A > r\\ |\\ \\mathcal{D})\\ \\pi_B(r\\ |\\ \\mathcal{D})\\ dr \\\\\n", | |
" & = \\int_0^1 \\left(\\int_r^1 \\pi_A(s\\ |\\ \\mathcal{D})\\ ds\\right)\\ \\pi_B(r\\ |\\ \\mathcal{D})\\ dr \\\\\n", | |
" & \\propto \\int_0^1 \\left(\\int_r^1 s^{\\alpha_A - 1} (1 - s)^{\\beta_A - 1}\\ ds\\right) r^{\\alpha_B - 1} (1 - r)^{\\beta_B - 1}\\ dr\n", | |
"\\end{align*}\n", | |
"$$" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 6, | |
"metadata": { | |
"scrolled": false, | |
"slideshow": { | |
"slide_type": "skip" | |
} | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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J9EjoigeJG1FcqMgkjMRSkUmk3tSSfVoi/REruUTEiuDFyDBilvz8fLS5shUK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GnT7GWw9uzBzJkzMXToUBBC0K9fP6xduxYA8Pvf/x5r167FihUrUFBQgOXLl2PdunX4/e9/r9zz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\ntUQLnEaj0WiqJf8f/giUospnZTMAAAAASUVORK5CYII=\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7f94902cff28>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"fig, ax = plt.subplots(\n", | |
" figsize=(0.75 * FIGURE_WIDTH, 0.75 * FIGURE_WIDTH)\n", | |
")\n", | |
"ax.set_aspect('equal');\n", | |
"\n", | |
"a_post = sp.stats.beta(5 + 1, 15 + 1)\n", | |
"b_post = sp.stats.beta(7 + 1, 13 + 1)\n", | |
"\n", | |
"p = np.linspace(0, 1, 100)\n", | |
"\n", | |
"px, py = np.meshgrid(p, p)\n", | |
"z = a_post.pdf(px) * b_post.pdf(py) \n", | |
"\n", | |
"ax.contourf(px, py, z, 1000, cmap='BuGn');\n", | |
"ax.plot([0, 1], [0, 1], c='k', ls='--');\n", | |
"\n", | |
"ax.xaxis.set_major_formatter(pct_formatter);\n", | |
"ax.set_xlabel(r\"$r_A \\sim \\operatorname{Beta}(6, 16)$\");\n", | |
"\n", | |
"ax.yaxis.set_major_formatter(pct_formatter);\n", | |
"ax.set_ylabel(r\"$r_B \\sim \\operatorname{Beta}(8, 14)$\");\n", | |
"\n", | |
"ax.set_title(\"Posterior reward rates\");" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 7, | |
"metadata": { | |
"slideshow": { | |
"slide_type": "subslide" | |
} | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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J9EjoigeJG1FcqMgkjMRSkUmk3tSSfVoi/REruUTEiuDFyDBilvz8fLS5shUK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GnT7GWw9uzBzJkzMXToUBBC0K9fP6xduxYA8Pvf/x5r167FihUrUFBQgOXLl2PdunX4/e9/r9zz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\ntUQLnEaj0WiqJf8f/giUospnZTMAAAAASUVORK5CYII=\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7f94902cff28>" | |
] | |
}, | |
"execution_count": 7, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"fig" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 8, | |
"metadata": { | |
"scrolled": false, | |
"slideshow": { | |
"slide_type": "skip" | |
} | |
}, | |
"outputs": [], | |
"source": [ | |
"N_SAMPLES = 1000\n", | |
"\n", | |
"a_samples = a_post.rvs(size=N_SAMPLES)\n", | |
"b_samples = b_post.rvs(size=N_SAMPLES)\n", | |
"\n", | |
"ax.scatter(\n", | |
" a_samples[b_samples > a_samples],\n", | |
" b_samples[b_samples > a_samples],\n", | |
" c='k', alpha=0.25\n", | |
");\n", | |
"ax.scatter(\n", | |
" a_samples[b_samples < a_samples],\n", | |
" b_samples[b_samples < a_samples],\n", | |
" c=C[2], alpha=0.25\n", | |
");" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 9, | |
"metadata": { | |
"slideshow": { | |
"slide_type": "skip" | |
} | |
}, | |
"outputs": [], | |
"source": [ | |
"ts_fig = fig" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 10, | |
"metadata": { | |
"slideshow": { | |
"slide_type": "subslide" | |
} | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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333tfiJtAmEyak7ZmMgkaGCKlwISBoemcKrE7ESPN6UKouAlDSetCdDIRRAVv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IzpdnFFjo5iVKtFdOFsZOmcI9vZoeh0fFaclARLbaJvMNb8Rq/Dedc1x+sR8wL3GkeWZUgpUFph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\nSiJwbO9SqwAAAABJRU5ErkJggg==\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7f94902cff28>" | |
] | |
}, | |
"execution_count": 10, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"fig" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 11, | |
"metadata": { | |
"slideshow": { | |
"slide_type": "fragment" | |
} | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"0.24299999999999999" | |
] | |
}, | |
"execution_count": 11, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"(a_samples > b_samples).mean()" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"slideshow": { | |
"slide_type": "subslide" | |
} | |
}, | |
"source": [ | |
"#### Thompson sampling, redeemed\n", | |
"\n", | |
"1. Sample $\\hat{r}_A \\sim r_A\\ |\\ n_A, x_A$ and $\\hat{r}_B \\sim r_B\\ |\\ n_B, x_B$.\n", | |
"2. Assign the user variant A if $\\hat{r}_A > \\hat{r}_B$, otherwise assign them variant B." | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"slideshow": { | |
"slide_type": "subslide" | |
} | |
}, | |
"source": [ | |
"#### Simulating a bandit" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 12, | |
"metadata": { | |
"slideshow": { | |
"slide_type": "-" | |
} | |
}, | |
"outputs": [], | |
"source": [ | |
"class BetaBinomial:\n", | |
" def __init__(self, a0=1., b0=1.):\n", | |
" self.a = a0\n", | |
" self.b = b0\n", | |
" \n", | |
" def sample(self):\n", | |
" return sp.stats.beta.rvs(self.a, self.b)\n", | |
" \n", | |
" def update(self, n, x):\n", | |
" self.a += x\n", | |
" self.b += n - x" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 13, | |
"metadata": { | |
"slideshow": { | |
"slide_type": "fragment" | |
} | |
}, | |
"outputs": [], | |
"source": [ | |
"class Bandit:\n", | |
" def __init__(self, a_post, b_post):\n", | |
" self.a_post = a_post\n", | |
" self.b_post = b_post\n", | |
" \n", | |
" def assign(self):\n", | |
" return 1 * (self.a_post.sample() < self.b_post.sample())\n", | |
" \n", | |
" def update(self, arm, reward):\n", | |
" arm_post = self.a_post if arm == 0 else self.b_post\n", | |
" arm_post.update(1, reward)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 14, | |
"metadata": { | |
"slideshow": { | |
"slide_type": "skip" | |
} | |
}, | |
"outputs": [], | |
"source": [ | |
"def generate_rewards(a_rate, b_rate, n):\n", | |
" yield from zip(\n", | |
" np.random.binomial(1, a_rate, size=n),\n", | |
" np.random.binomial(1, b_rate, size=n)\n", | |
" )" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 15, | |
"metadata": { | |
"slideshow": { | |
"slide_type": "subslide" | |
} | |
}, | |
"outputs": [], | |
"source": [ | |
"A_RATE, B_RATE = 0.05, 0.1\n", | |
"N = 1000\n", | |
"\n", | |
"rewards_gen = generate_rewards(A_RATE, B_RATE, N)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 16, | |
"metadata": { | |
"slideshow": { | |
"slide_type": "fragment" | |
} | |
}, | |
"outputs": [ | |
{ | |
"name": "stderr", | |
"output_type": "stream", | |
"text": [ | |
"100%|██████████| 1000/1000 [00:00<00:00, 6266.30it/s]\n" | |
] | |
} | |
], | |
"source": [ | |
"bandit = Bandit(BetaBinomial(), BetaBinomial())\n", | |
"arms = np.empty(N, dtype=np.int64)\n", | |
"rewards = np.empty(N)\n", | |
"\n", | |
"for t, arm_rewards in tqdm(enumerate(rewards_gen), total=N):\n", | |
" arms[t] = bandit.assign()\n", | |
" rewards[t] = arm_rewards[arms[t]]\n", | |
"\n", | |
" bandit.update(arms[t], rewards[t])" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 17, | |
"metadata": { | |
"slideshow": { | |
"slide_type": "skip" | |
} | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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wRUREpJRQoiwiIje9LbtPk5CSjY+HMx6uZu7M/h8Zv/+Bc/UaBA19GEdfv5IO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jQoz5kzh+XLl7N//34AtmzZwsKFC8nMzCQ0NJQHH3yQESNGNNh4QjQV1eEg5+1l1BYVEnjnQIL6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\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7f948d3c7208>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"fig, (regret_ax, assign_ax) = plt.subplots(\n", | |
" ncols=2, sharex=True, \n", | |
" figsize=(2 * FIGURE_WIDTH, 6)\n", | |
")\n", | |
"\n", | |
"plot_t = np.arange(N) + 1\n", | |
"\n", | |
"regret_ax.plot(\n", | |
" plot_t, rewards.cumsum(),\n", | |
" c=C[0], label=\"Bandit\"\n", | |
");\n", | |
"\n", | |
"regret_ax.plot(\n", | |
" plot_t, A_RATE * plot_t,\n", | |
" c=C[1], ls='--',\n", | |
" label=\"Variant A\"\n", | |
");\n", | |
"\n", | |
"regret_ax.plot(\n", | |
" plot_t, B_RATE * plot_t,\n", | |
" c=C[2], ls='--',\n", | |
" label=\"Variant B\"\n", | |
");\n", | |
"\n", | |
"regret_ax.plot(\n", | |
" plot_t,\n", | |
" 0.5 * (A_RATE + B_RATE) * plot_t,\n", | |
" c='k', ls='--',\n", | |
" label=\"A/B testing\"\n", | |
");\n", | |
"\n", | |
"regret_ax.set_xlim(1, N);\n", | |
"regret_ax.set_xlabel(\"Sessions\");\n", | |
"\n", | |
"regret_ax.set_ylabel(\"Rewards\");\n", | |
"\n", | |
"regret_ax.legend(loc=2);\n", | |
"\n", | |
"assign_ax.plot(plot_t, (arms == 1).cumsum() / plot_t);\n", | |
"\n", | |
"assign_ax.hlines(\n", | |
" 0.5, 1, N,\n", | |
" colors='k', linestyles='--'\n", | |
");\n", | |
"\n", | |
"assign_ax.set_xlabel(\"Sessions\");\n", | |
"\n", | |
"assign_ax.set_ylim(0, 1);\n", | |
"assign_ax.yaxis.set_major_formatter(pct_formatter);\n", | |
"assign_ax.set_yticks(np.linspace(0, 1, 5));\n", | |
"assign_ax.set_ylabel(\"Traffic shown variant B\");\n", | |
"\n", | |
"fig.suptitle(\"Cumulative bandit performance\");" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 18, | |
"metadata": { | |
"slideshow": { | |
"slide_type": "subslide" | |
} | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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wRUREpJRQoiwiIje9LbtPk5CSjY+HMx6uZu7M/h8Zv/+Bc/UaBA19GEdfv5IO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