{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Estimating network latency and capacity from asymmetric measures\n", "\n", "We first load our dependencies and download the provided datasets if required." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "from os import path\n", "from urllib.request import urlretrieve\n", "import gzip\n", "\n", "import numpy as np\n", "import pandas as pd\n", "import statsmodels.api as sm\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "lan_url = 'http://mescal.imag.fr/membres/arnaud.legrand/teaching/2014/RICM4_EP_ping/liglab2.log.gz'\n", "lan_file = 'liglab2.log.gz'\n", "\n", "if not path.exists(lan_file):\n", " urlretrieve(lan_url, lan_file)\n", " \n", "wan_url = 'http://mescal.imag.fr/membres/arnaud.legrand/teaching/2014/RICM4_EP_ping/stackoverflow.log.gz'\n", "wan_file = 'stackoverflow.log.gz'\n", "\n", "if not path.exists(wan_file):\n", " urlretrieve(wan_url, wan_file)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## First dataset: Local Area Network conditions\n", "\n", "### Data extraction\n", "\n", "The first dataset contains ping results. Here is an extract of the provided data." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "b'[1421761682.052172] 665 bytes from lig-publig.imag.fr (129.88.11.7): icmp_seq=1 ttl=60 time=22.5 ms\\n'\n", "b'[1421761682.277315] 1373 bytes from lig-publig.imag.fr (129.88.11.7): icmp_seq=1 ttl=60 time=21.2 ms\\n'\n", "b'[1421761682.502054] 262 bytes from lig-publig.imag.fr (129.88.11.7): icmp_seq=1 ttl=60 time=21.2 ms\\n'\n", "b'[1421761682.729257] 1107 bytes from lig-publig.imag.fr (129.88.11.7): icmp_seq=1 ttl=60 time=23.3 ms\\n'\n", "b'[1421761682.934648] 1128 bytes from lig-publig.imag.fr (129.88.11.7): icmp_seq=1 ttl=60 time=1.41 ms\\n'\n" ] } ], "source": [ "with gzip.open(lan_file, 'rb') as f:\n", " for _ in range(5):\n", " print(next(f))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We create a function to parse these log lines and test it." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "def parse_ping_line(l):\n", " assert len(l) > 0\n", " assert l[0] == '['\n", " \n", " timestamp = pd.Timestamp(float(l[1:l.index(']')]), unit='s')\n", " size = np.nan\n", " rtt = np.nan\n", " \n", " tokens = l.split(' ')\n", " for i, t in enumerate(tokens):\n", " if t == 'bytes':\n", " assert np.isnan(size)\n", " size = int(tokens[i-1])\n", " elif t.startswith('time='):\n", " rtt = float(t[len('time='):])\n", " \n", " return [timestamp, size, rtt]\n", " \n", "test_line = '[1421761682.052172] 665 bytes from lig-publig.imag.fr (129.88.11.7): icmp_seq=1 ttl=60 time=22.5 ms\\n'\n", "[timestamp, size, rtt] = parse_ping_line(test_line)\n", "assert timestamp == pd.Timestamp('2015-01-20 13:48:02.052172')\n", "assert size == 665\n", "assert rtt == 22.5" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can now process our full dataset and check if any data is missing." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " size rtt\n", "timestamp \n", "2015-01-20 13:48:04.770828000 21 NaN\n", "2015-01-20 13:48:26.146320000 9 NaN\n", "2015-01-20 13:49:08.647974000 9 NaN\n", "2015-01-20 13:49:48.500515999 9 NaN\n", "2015-01-20 13:50:05.331125000 18 NaN\n" ] } ], "source": [ "rows = []\n", "with gzip.open(lan_file, 'rb') as f:\n", " for l in f:\n", " try:\n", " rows.append(parse_ping_line(l.decode()))\n", " except (AssertionError):\n", " print('invalid line', l)\n", "\n", "df = pd.DataFrame(rows, columns=['timestamp', 'size', 'rtt']).set_index('timestamp').sort_index()\n", "print(df[df.isnull().any(axis=1)].head())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The value `rtt` is missing from some rows. We remove these measurements." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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sizertt
count44036.00000044036.000000
mean1000.0257295.136663
std573.65966612.221312
min24.0000001.000000
25%499.0000001.270000
50%989.0000001.440000
75%1499.0000002.310000
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" ], "text/plain": [ " size rtt\n", "count 44036.000000 44036.000000\n", "mean 1000.025729 5.136663\n", "std 573.659666 12.221312\n", "min 24.000000 1.000000\n", "25% 499.000000 1.270000\n", "50% 989.000000 1.440000\n", "75% 1499.000000 2.310000\n", "max 2007.000000 276.000000" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df = df.dropna().copy()\n", "df.describe()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Data analysis\n", "\n", "We plot the rtt along time axis, with different levels of zooms." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "df.plot(y='rtt', title='full dataset')\n", "df[:1000].plot(y='rtt', title='zoom over first 1000 points')" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/conda/lib/python3.6/site-packages/pandas/plotting/_core.py:1716: UserWarning: Pandas doesn't allow columns to be created via a new attribute name - see https://pandas.pydata.org/pandas-docs/stable/indexing.html#attribute-access\n", " series.name = label\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "df[150:300].plot(y=['rtt', 'size'], title='zoom over first observed spikes of latency')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can observe spikes of latency (rtt) in the dataset.The last plot suggests that the packet size **is not** the only parameter that affects latency.\n", "\n", "We now study the relation between packet size and rtt." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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B6AHsEgThETiEyPcCTRsHB4f/QQy5Xdf7cbq1C68+MA8AnGb6bGwDAIRrJlCvnu7eftRetmECBDy/8vZhXj1Ev5+3p5oKG8JMyazc3j9IA98KD9VTBsy2I5f59WtDjJ8NWIvVa5ESZ6C2BaIek6boIIF8pM+tqzKGCaW+gUGEh4VS2raVWvEff6rCxY4e/G7tfCdhQwL9/CkkRiWSWhTFXwH4leRwLxyrCQ4OjpsYRN1CjM/ROg02LE6hM+5oncZp57S85WnI318DU7wBW1dl4OiZKwCAZKMO5oRIqoJh1U/t3Xacbeums2/iHltU1kBdXEnAGWH20hgLQis7UzcnRNJyhMYWWy/CQgRap63LsYoh10Halgoc0j67HwUxbhPaOnr68Myfv8SgKCJap6Fl2VgPf4Jnc+Xg4Ag4WOa/pcSCwkP1WJJqxGN/PIYHCo9Qd1cANCOrtdkGa7MNP3nnGJ5+z2GTYNsizBZwqGdeGfJ6YlVFZAVBPJWAG0yf3ZCHCJsya6vs1p9EhUSO6yeGOuVM6uixO7ml5u+voSsk1h4hpX/rqgwqHFpsjpiI7d+fh/9ZlzVMVbZhcYrfVUxcQHD4BTe7Dz/HyECS8AGO5HObcsworW3Bq2vn4Z0Ndzq5tBLDbu7O4wCA9OlRSDHqsK3U6nKHObIyIBHURBDdP3+G02yeeD0Bjtk/cYfNXTqLqojkhBCZzRPGTqKjNyxOQVPndRr4tq3UipNNV52EHulX+p+oxtjj0ToNisoa6F7ZACht/n7PeC4mDp+DXerf7O6aHN6DGKjJWGHzKEmjjKX5jazNNqrHl2Zfle70xs68j565QmMYSIQ1MZATVVRHjx3nr1zDjh864g/k0o+T3eOku72R39Zmm1NiQDYRIeCwH5C8UJtyzACcs7WyNLPtkiyxBN6+X0EbB8Fx80PqwsjBIQfCBIlwICobokIh6THI3s0sgyW2BNajh41AZ7OosrPsvVWNNHU4MTAT9ZM5IRIbFqcgQhOK3z6QSeMPpJlTyT7X5oRIlFlbsXF3FY2Ozi2uxI93VFDDN4n1YLPUAg4DeMGaTGzKMWNLiYXaSMhKhIB9h4jbbVtXL11J+BtcQNxECCa1DhcOHO5AGDqbQZXdMY6obNZnJ9FkeoT5syoWNuhOOjGRMvf8lelO+ZKAGykuWmy9NN+SKd7gtCOc1A5BMsA+9s4x3D9/hlOaDDYWgt0AqK2r10ktRQL3SKoQcr3Se0RUS/n7a6gwCxjU7EsarB++J/UNyO21y8ER7JDuIS0dv+z+05/VtdBj7Lf0N9ue9JvsX83uEc1+P/RmuXiq8apTv+Qcu/c1+T3v1x/R8qIo0n2vCa2krtxe1aSs0rv7WV2L+NCb5eJDb5aLn9W1ONE90vccKvekHnUmP5IPFxDO4MKBYyyBZYxSpsf+PtV4VTzVeFW84/kD4md1LW4nQnLMnXwTIbC2sGzYebaMmnqENvb3Hc8fEIuPNIipv/iACgDC1FkhsWr7YdH0zPviqu2HZRk+e72+FAwEXEBwcHAEPdjZOmF+hJESBsvO2EVRfiLEMmpSRo7Rk28iaKQCR7qSkTJ4duWhdD2iKIofVDUOqy9Hg7u2WOEkJ0i9hVoBwW0QHBwcowJ2Lwc2WKzgYB1WZExF7s7jTnp7YryV6umJV5E0eIwYt9lvYkcg7qvEk4ntmw3SY/MxEXuB9BpYOohtYm9VI7VzKHlaZZvihm2byv4mHl4AnDYVIraYgECNFAnWD19BcHCMXSjNyNnZvBRKs2e2LDtLZ2fhciospb7Jb1ZVxR6TzuylKjAl2olNQa4fOXuEnOpJrm1PAa5i4uDgCFbIMV+1ddTYH6RM251qyFV7SseIgCPXIDWiy9VRUhO5E16kztrCMq+vhYVaAcFVTBwcHAEH68oKDHfRlvsvja+RU7OwZUi8Ahuw5grSyGbSnlwfbLoLknqDuN3KuaqyLroAhkVLs3VIgB+pw7oDExfaQLmRcwHBwcExKmAZPbETsP+leZGkqa5dbctKjpPYAtYOIFeHMHF2u1BpW1LaSUwFEXTSGAw5gcPWldJDyhPbDIl5YIUpu9dEIMBTbXBwcIwK2BQVbGoNaQZVUlZuZq40Wwcgmwpb2o+0Lkm3QeoDnqXVZqO4WTrIdcqVz9tTTVN+sOXZOuRekbJK16AWalNtcAHBwcERcMgx8pFsgCNdXQDDGTLLjKW5jqTlSP0WW69j29PlaS73gGYZOCvk5OhQol1aXipslNKFewOei4mDgyNoQdQ+rD5daYbtDqwrK2lHyXYgtXvIuYzK1WdTgcvRSISdq1m9Un32+olAcKVCk0v/4S9wAcHBwTFqkCbTk/52xwSJsXh9dtKwtuTAMmACNtZBrnzBmsxh6cGltLLlyTk2ZkGtzUQurxRrQ2GFXEASYqpxdQrWD3dz5eAY21CKB5A7764NpdgBaVk2FkEuB5SSm6pSbidRFJ1yL5HybPS3K/rkorfdXau7cu4AHgfBwcEx1uAqhkBtfTWxEkqM1lV9KQNnEw3e8fwBp1QgckJErn0isNTEg7gKqPMUagUEN1JzcHAEHGoN0t5sPqXW42kktEkN3uzGRGwb7mhhDdCeeEl5ek1ScCM1BwdHUEKNbYGA3eJTLZS8l9QadNUwXbInBbF7SD2c5AzvSl5Kct5J7mizNHUGJFiOCwgODo6AwpsdB0fisSPXnztjsbtjAFwaiuUiwck1kEA89po8uT6l5IT+ABcQHBwcAYcnwsEXW9hKhYM0Ups9zjJed6sPV8Fv0jpka9UH3yiHtdnm5KXkyfWxW576G1xAcHBwBD3YQDJX8ERtRdpk03iwaiNpWangUNM+KcvuTT0zVofCQ/XD6niCQAgHgAsIDg6OMQC5WbkrNY47sDYClpnLqY2IcFj/5ucos7aq6kdan21z+7r5qo3Sow0uIDg4OIIWLBNmjdXE+4ed1Xtj0JbzBJJj3OaESBSsnouisgZKi6dqMnYlMRaEA8AFBAcHR5CCFQJy6SXs/YOyKTDU7rjmqXcTydyqlMpDqQ8CX9hSAg0uIDg4OIIasfrh6SXYFBie5j4i51wxbCVvJk+Yu5wA8obW0QQXEBwcHEEJaQ4icow9r1QHUHYdlRqm5c5LVyGerjYILWpUXt60HShwAcHBwRG0cDVjV2KsalxHvbEheKsekrrOetr2aAoOLiA4ODiCFp64k6ptjxiKXbUrtwOd2lQY0rakrrNKfbqid7SEBBcQHOMSwbic53CGkmurO52+u/TaaoSKNIbBlXutlF7plqUjSc092oZtLiA4xh1Ge1bG4Qwp0yeQCzhj91hQaku6n4LcOU/yMskFvSnRS7YOldLozerDVd1AjV2ezZXDJxhJZsnRwFijd7Thr/tFmL69fxAFazJVZVEF3Nsm3OnzPc0Qy0KaudUbGuXqqKXJmwy3UgR1NldBEKIEQdgtCIJFEIRTgiBkC4IQIwjCAUEQ6oa+o0eDNg7PMRZn5Fw4qIc/n6/RoMWmHDM0oepYkZoYBLlsrtL63jLXFluv6p3rXLUhZ6twR5Nc+g9/Y7RUTP8NoEQURTOADACnADwN4BNRFGcB+GToP8cYwGjrSf2JsST0/AV/P19zQiQ1Csulz/AE0vIkyE6OIXsDNR5HroRpmbUVucWVTioouTTgUkivI1DvWsAFhCAIkQC+DuANABBF0S6KYgeAFQCKhooVAVgZaNo4vMfNKhxGMnO+mYSLv58vm4qCuIR6ev+lTJTM9nOXzvIp/a7aciVALE2deKK4Evb+QWzKMQ9LFkholjOK++M61CDgNghBEOYCKARQA8fqoQLATwFcFEUxiinXLoriMDWTIAgbAGwAgMTExPkNDQ0BoZtjfMJb3bsv9MTjAdIZsaWpEwUH65yyrao18Obtqcb67CRkm+JoPTX1PXnG0rKejg9LUydi9VqXbci1yR7zhT0omG0QoQDmAfidKIqZALrhgTpJFMVCURSzRFHMMhqN/qKRgwOA/1QRHPJeSVKXULX3j3gQFZU1OK0k1NgC1K5SlGb7roLgpOfMCZFukwMqRYjL0eBvjMYKYgqAI6Iozhz6vxgOAWEC8E1RFJsEQUgA8FdRFGe7asvfXkzc04WDw7/whU5dbnatRjiQFZ4n/Uvbl654WJAU4UUP3zFs1aDmWkZSxh2CdgUhiuIlAOcFQSDM/1twqJv2AVg/dGw9gL2Bpo3FWPTM4eAYa1DjlSQHJZ292pUHu8LzRjiQPtkVD0sTOUeEg9wOdnLtqykX0EmrKIoB/wCYC+AogBMA9gCIBhALh/dS3dB3jLt25s+fL/oTlzuv+7V9Dg5/4WYeu5c7r4s/eusovUa5a/X19bvrk5w/1XhVfOjNcvGhN8vFU41Xh9EjbUeJbqVyvrouAEdFNbxaTaFg/fhbQHAEJ25m5ucLsMwqmDGS5+hOOKhhwp7S4a4cS9OpxquKNHjbn7vr8gRqBQRPtcExpsBVf+6hNkHcaGKkz1HORZQ952qfB7aOXJyE0m93KS9Y9Zar/EueGN6l8HTHvJGCC4gRIFhfvpsZ3DtIHUaSIC4Q8MVzdNWGUrtsnRZbL7aUWJziC6QJ96ReSuw7rxSE54oGd/YFJRBapLvq+RtcQHgJPpMdPQQr0ws2BPt9kvr+s98jaUNtnbYuR/lYvfMmRGT1BcBpJca+83LBa67cXQl9eXuqUWZt9XrzIXNCZGAD5tTooYL1M9o2CK4L5+AYGS53XneymXirY/dUP+/OTsO2o+b3qcar4h3PH3Br9yHX6K19yFd2CKi0QfBsrhwcHKMCuViEkfj4expt7Os4J3dZXr3pl3WtBUZ+jwiCNg6Cg4ODA7ihzmFjETxRGSkl4FOr/vWVcGCjwJVo86Zf1gbCRpwHUnXIBQQHB8eogEQhy3kNuWPyroLKAunIIEenO+O1q7bY36zdYeuqDNltUP0NLiDGGUY6sLhRnsMXkDPySpmtKyYv9UZyJ0zU0uQJ/Swdrq5LTVtSA7g0lxS7ygqog4waQ0WwfkbbSD3WMFIDly8DdTg4lILIvBlnUuMxqa+2LTXllKKc1UR2q+lXyQDuihZvAW6k5pDDSHWYPIEhRyDgy3Gqti1X5ViDupyheCR9eHutI7lH3EjNIYuRMncuHDh8DTlViS/HKfvbVayCqz6ldg25FN1qjOre7G4n126g1ExcQHD4DNw+weEJpPr2kbbl6j9wI/22UmS0u/pKjJyNulZK00Hqe2I8d3V/AmWI5wKCwyfwxYs+VgTMWKEzmEHGCzDy/EJyHk1yYzFWr0XRw3dQd1Slcu68kKQeS+vf/BxtXb1ODNvb1YL0mgBlY31AVvNqDBUAtqg5FugPN1IHF0aanXO0DODeGhU5RgbWqPvQm+VeR1Cz39Lj7H82gllN2m6l/qTPX000tj/OjwTwcTbXZTLHvu0jGcVxk8Bfidf8CU9XPjxZoO+g1qjLfkvPKW0tKvef5FVytSUpG3ugpGaSPn82l5Pa63M17lgX2lGHK+kB4N8BfAmgB47NfcjnDIC31Uggf374CoLDF+CrgdGHnIunmhxNatxS5Y75wu1VTTm1brOe9jtSwBcbBgGYBGAmgHcAJDEft7u9BeLDBQQHx80FpZgCTxmmLxitJ8LEWxrcqaz8JSjUCgiXKiZRFK+KongWQL8oig3M54ogCH/w/XqGgyNw4Mbm4IOSCs9TdYtcO2o8naRtKKmCpKk9XNHgrg9pNDlJP+Jtyg5fQq0N4jb2jyAIoQDm+54cDo7AIBj38wgmWgIBT+MGXNkj5CAVDmo8neTakHoneTp2lAQM+bD7TbBCxdOUHX6Bq+UFgJ8D6AYwAKBz6GMD0AbgRTVLFH9+uIrpBrge3XME0z0bb95RStfrSsXkzZ4RrtJXeKo6UkqL4SkNxGuLeG7JpQTxtA9PAV/YIBztQABwTE1jgf5wAeHAeGMuNyvG2/Pz1LDrqT1iJO+FKwHmLaQCRq5tb3NReQq1AkJVLiZBEF4F8HtRFL/wxyrGW/BcTDfAcyRx3IxwN649Pa/mPSFllMq6yvM0EnrYfE/AcBWZL99vX+diWgLgiCAIpwVBOCEIwpeCIJwYGYkcvgQXDmMP483m4CnUpPHSjkg0AAAgAElEQVR2ZwtgcySpKe8qtkJ6Xvq7xdZLN/UhZeXoUaKftXcQun2ZjsQrqFlmwNnFlX7U1PXnh6uYOMYquFpQHdy5iKqNoCbHPd2DWk1Z1j6ytrDMpZpI+l9KjzS6/KE3y8VTjVd9Pk7gy0hq0dnFlX78JbQ43GM0Z5985jty8IhsB9R4EcnVYXMVscelM23pxkLSHexIPXbm7+6ZSDPFkj7YiGolN1vpCoOlR7p62boqA5tyzCg4WOeSHn+CJ+sbgxjNJWcwuoeOVXDh4PlYcpXEzl0MhZq4BG9B+tCEhjgdc6f+kqYQl9JvTogc1YkE3zBojGI0jdKj1fdYN8SPdfr9AW+M0O6MyO76Yzf+UUuH2rYJjAYtyqytKCprcOrL0tRJs8l6SudIrlsKvmHQCODpjGY0EEhG423KYl/TMJZXLmOdfn/Bm4R2riKc1fQ3kkhtpeR6JOq5rctBV5m1Fbk7j2N9dpKTcJBTcamhk1xvwKOr1RgqgvXjDyO1J8bD8WBo9PQa/Xkvxvp9Huv0+xu+SMbnT5B34bO6FkVjMkuXNKcSW4YtJ+3DVf/uyqgFfJzue9xArfGQDYu/mdUGnlyjv2fJo7lq8gWCeZyMttOD3MzYnSrFG/XSSGA0aLE+OwlPFFcit7jSyZi8dVUGVR0RukjKcLZfYsiWe1fcvT9K2536FWqkSLB+RsvNdTysHLzFzXBPxtvzHc3rPdV4ddgM3B80KaXw8Abu3E7ZFYQ0pYZcOXfHvCnjDvBVqo1g/oxmHEQwMY9gosXfCNS1jqd7KoqexQG4q+9JHRI/wDJQT9Nse6r+JOqekT5jJQZPhB25NqXYC6U2lM77Mg2HWgHBVUxeIljUBePJ+Onva5V6oYwnuNtL2RVGajAmqhmpEVaNAbvM2qq6b7Y9e/+gR7RK4c5YHKu/ERuhZJj2JFLclXuvX6FGigTrh0dSOzCeZrv+utbxplZyhUCtIOTa8CSLKTtLl9LhTgU0khUEu/JROu8JLe76UlvWE4CvIMYPxtNs11/XOh4cDtTCm3vgq/smjY6WA5lxkyAysgJx5QoqXR1uXZWhSLOa6G62X7nzSjmdPHUZlwYCBhqjJiAEQZggCEKlIAj7h/7HCIJwQBCEuqHv6NGiTYrxor4Z7whm4TAWn49amtlyUt9/ubJKaTFYxi0XQ6BGhag2zkApBYiUFlfJ+cYCRnMF8VMAp5j/TwP4RBTFWQA+Gfo/6hiLD9VTjIdrHMsYi89HLc3SWb+n9aWQcwX1xHVduoubmv6VMq7KBeN5s0pVWgkFBGr0UL7+AJgOhxC4C8D+oWNfAUgY+p0A4Ct37QTKBjEe9NLj4RqDEcEQgOgveONdpKa+r11B5TyFRFFUtXuddBOgkUDJK4pt31d9IchtEAUANgJgXQniRVFsAoCh78lyFQVB2CAIwlFBEI62tLT4n1IEt+rBVxgP1xhs8GSWHKzPx10yOjVQKufuOJsFVUoTWZW4glKAHqmrZk9o6R4OruhyRwvrscSCXXWsz06iNAZiNRFwASEIwnIAl0VRrPCmviiKhaIoZomimGU0Gn1M3djCWFI5cAzHWDeM+1L15WlbrgzSRoMWuUtnoeBgHRUSckJk4+4q5O+vcRICrB0jd+ksRUO0kirJ25xJbKZZOdfWFlsvcosr8URxJdq6egM3btQsM3z5AfAigAsAzgK4BKAHwA4EsYopGMHdMjk8gT/dg/3dlrvjSudZN1i5d4VEOsu5q7pS57h791zR5YpWud9S9ZeroDtPgLEQSQ3gm7hhg/i/AJ4e+v00gK3u6o9nASGKY1MvzRF4BONkwhP7hKuYA3d1pQn0pCBCQomZK8VMjDRyXErDHc8foBHlaoTPSKFWQARTHMRLAJYJglAHYNnQ/6BBMKpzgjF5XTDep/GOYFNlKSWqkwNJkKe0E5yrPjbursKWEovbqGyl+q7giZcTW0fuWswJkSh6+A6YEyJdPqtR8WZTI0WC9RNIL6Zgm4EFEmqvf7zfp2DASKJ2Awmp6kRp3CjNutWMNXfePq7adpVkzxMa1PTnCQK9guA7yqmAXFDOeIPaWZg3szVvEci+xgLIDFNuBurq3GiBfX6unqXcuZG+k6RNpX7dtd9i60VbVy9i9VqPaAiWMct3lPMRWE8C6fHxhJG6LPoaYzF4zN9wpZ4IdjWTJ/s+EPWRL/p25UqrJJSIR9GDb5Tj6Jkrsu27Upn5aszelG6uYw03S8j8zYaRMryb8dm5m50Gi3AA1D0/b+xeaiK3lfp2lVVV+s4XrMnEc/emY/NfTjrFWxDhtXF3lWwchlK8g6fjMWA8SI0eKlg/wbAfRDDpdTnU4Wa0lYzla3IXQeyqjlKksVxZV5HRamwdcl5NSi6yn9W1DOuLpdkXEdIjedYYC26uI/2MtpvrWH4pxztuxmfm7aRlNO+FK6auNhU2W1Yu1oGNhXBlIGZdXuUYu7SMu2tyt0Oe9Hwg+QkXEAHCWGc0Y51+Dmd461nji3HgbRveBKLJzcCVGK67WAi2DrsbnBJd7naIUxJuarZUDdT7yAXETQpfDiC+Aro54SnT8ZVw8GYsKc383bmWSveFZpm6tyobV/Sw/biqy7rHyp1TWpkEGmoFBDdSjyH42jAVbJ4tHPLwNuU1qetuzPji+XszltzlUyJllPIstXU5B5uRnEpsXiNPr82V4ZqkA3flobR1VQa2rsrwqq+ghBopEqyf8biC8FUuFo6xAV+s8jxRNwUarmbsZNa9trBM0bYgZ6yW+++qb7njP3rrqEtDM/tfet6dXcUbmnwN8BVEcGIks393MxiOwMBdGmlfwherPDUb5fh6depJFlP2W3puU44ZmtDhbCpW73xf2FUD+99VoJvS9ZJVSlFZg8t036xLqzT7qlLfG3dXIbe4UrZfJZpcxVX4HWqkSLB+xtoKwlezwUDNMrhtYjjYxGo3A0air1fTpq/aY3+7mqF7ksrCU9uMXL+uPJ7k4M4LSrqiYldRvhxz4Ebq4MRIX5pAGZbHggE7ELS580bxtG4wwh90+qtNMiaVnoGaXeBGSsNI66kRTOw1nGq8Kq4tLHMSLCO9Pi4gbmLwFURgBJgns2tPXTWDGYGk2dO+iPeSmlm4N31626ar9ryxh7iydbi7fjVQKyC4DUIGwajjd7UZur8QzF4WgfDAktvlSw5yumNf0qcmfYSvEMg0Mmr6kqaxkHovyUHunrM7y7nS87NblbK5l1xtYaqUMkONTcIdTew1jcr7qEaKBOvHHyuIYJz5+ZMmT9r01L/eV/0GAwIVSyB3zF3QmK/HxkjGhC/7krP3qA16c9WOq9UeG3EtTanhalc6tq43sQ4sbaTNkayS3AFcxeQ91Nx8f7sO+pIZu+pDLXPxxo1wpP2Olo1hNODqngTDfVLq198uuErRx96oplz1J1XhyKlx5N5J1oA8kp3vWKFEorm9uU614ALCj/CEwXkbXertTMRTeMKQArmCCLSNIdDwRhAEAp7q50c6Bjy9/6xOX44ZKyXPU+pPzTml/6Q/XxiOpcJJSpOvxwYXEF7AH0trX6wgAsnI/NWXtyuNkdT3tI9AwVtm5Gkfnrbpyvjpy3Hhi+cqp875rK5lmEpKSrdUXcUKGjVpNKT9ebIC9wZKq5mRQq2A4EbqIZCgF08DfLwppxQko1TP3T61I4WScZU10o20fW8Mn+R65VIxkHZHSpu/DX+uArHYdBLs9am5X+7O5RZXOo1nT8e3tB/pGPTWcO7JRkGu2jEnRA6jp6isAQWr58KcEEnLScczCTQlv9dnJ2FLiQWWpk6PglAtTZ3I3XkcKzKmqroGuT0g3F2nu/09AuJMo0aKBOvHVysIf0lpaR/kW2726CtVlDd0uQs68sXMcSQzKKKTZdshx9UmQFOrBvClGkXp3qoxZrpT9bhSPcjdM7XjW0nFoea6PDmv5rgnqlwp7a7KSsu723taqW12BaFm3HlyP6XHvL03SgBXMamDN3q+kTJyXzMhuW93ddQwJ3cvHjk+UgHljk72BZamb5Zeh1zeHrXCzpfCW+n6pMzb0/rSa3dn2GavXY0QkstxJAepGscd3e7ginm668fVhkFqmbESTa5oE8UbNghPGL+rvtwd8+S8K3AB4QE8udHeMoyRPEw1bbvKY8+WI2WlUZmuXga52Sc5Jo3wdEWj9LeaHb6kQsBVnVONV8Ws/I/dGirV0KZ03t05NfdB7UpV+izk3D7VtCOX3kHuOZNy7oSXnND2xfhWeqZK9MrVUyPcvbn3cn2omVx6ylu8OecNuIDwAmofgq9mk5626WoQKi2TlQYze5zNmKnUhlKOe7mZqbu+CRNyx4zcCTo5uBIOSm25S9+gpq70v/QeK9Hu6SxR7fXJPWNXjFI6Dtj+3I0HV89DzTUpwV38wkj7UnPvXa0KlJ6xN3AnAH3tOMIFhIdgGRf5L7c/rbs25I5JZ1quBp1Se0pJvuSYuhzDkqOP9d546M1y8YOqRkX3QaVrYwUT+bDLbqk/N6nzWV2LS/sB295ndS2K/crRJGVcatQO7pLwSe+zq6ArQh+7qpNTRRAdtqs+3YG9zwRSf3pP2mKv8bO6FjEr/2NFtR1bR83Klfz2xNanxsNIrj93x9WOC1dpu6WTHqXx6IomNXSrre8JuIDwEJc7r1N1CUmOxaor3El4uZkF+6J+VtfiVl/JQrpD1qrth4e9qCwjkhMKrmZ2UoZIXASJkJBj1lIQJk++V20/LK7afljMfO4j8bO6FnpcKkTkgorkXri1hWXiit8eEmc9876TkJAT5nLPUE4gu2IM5BnJ3StWnSbnTinFB1WNTsztR2859hdg+1K630p0srSyz0VuN7VTjVcV3TClbcg9Bzma5eqqUbGwakjyXw0TJ1BSrSm9i9JJkZIQU7MFqKtJojuhx45zNXadQIILCC8gnenIDQ7pwGRVJSwz/97vDtPjn9W1iJnPfeSkxmHblKND6p+dlf+xWHykYVg9uRdFzaxOFMVhM3M54y8RltKXWsrgWGFBhJn0vrCzWrn0CdIXltSVCgdSln352CRupLzSPVJiiHKTAinDJe18UNUoe08JvbOeeV9ctf3wMIHAThJIe+y1urIvSAWBVDXI3ke5McReLztWyTWz91aufzmB4G6iIyfM3cVauAuAk5sYydEgLScdD56uINzRLqVX6lAh1+ZogQsIFfAmEpNllmTAsLP7U41XxbmbS8QVvz3kNDhWbT8sK3DUeKFc7rwuflDV6PQiu1JNyLXBfkv7VqKLME3p6kWOwUn7IUJATuiyLy2ZHUrVLUozQTndNztTlgoM9hmx55VmguSa2HLkWgiD/6yuRZz364+G3Td2skBWI3KCkKWd3Mes/I/FFb89JGblf+wk4FgBo6RKInTf8fwBsfhIw7AVJDt2pNdLBCr7zF2tCqQCTmncSOtIy0khFfzuGKgSfe7KsTQq1VcSGnLjT6m+3AqZwFM7mdK1jARcQLgBy5hEUXR6yaQzVpZREIbJDmjpKuJ7vxvOUJVmHq4GEavaIH3LvUjsi6/E7OV8tlkGzc6ISRnSp/RlYs8rLecJ3au2H3YSBoR2lg6pKoZtn70GliGy91U6Q5Wqtj6raxEzfl1CjysxB5Zutpx0BbG2sEycu/mjYfedvd5TjVedZudyz5h9zqQv1g700Jvl4vd+d1gsPtIwTHDIrRaKjzTQ8UvaXFtYJmY+95H4nYK/yTIY9pmxz0U6A2afA6Fz/nMfD7sHUtUU+8ykz1XartLKRQ6uJj/u2pCOI+m9cGdPYe+5WiGjZIdiz7uimR3rvhASagXEhM2bN/s/Gs9PKCws3Lxhwwav6sYZtJgeFY63jjTAPMWAzftOouJcOx77pglvHWnAIlMcdNpQ6LShWJgSi7YuR+TlhsUp+LLxKpalTUGPfQCb953EirnTMC8xGltKLJiXGI0l5sn4RqoRERpH/R77AJalTXGK+jxxvgPdvf3YUmJBvEGLiWETsHF3FcxTDGjt6sWDb5Tj8zNX8NNvzcLnZ6/gvnnTkZOeAADQaUMRZ9DCNFmPa/YBPPhGOWZERWDrRxa89vd6fD3ViLihyFHjULlXPq3Dz+6ejQhNKHKLK/H1VCOMBi29D5v/chLpUyMxMWwC8vZUI2P6JOTtqcaEEAHfSDUiKVaHFlsvzl/pwYsfWJAxfRIKDtYhd+ksem7j7iocqGnGvMRorJg7DQtmxuCLs1ewKceMmouOyNPpUeEoKmtAYnQ4fnOwDgtTYtHYfg0zYiIQZ9DSe71530kctrZikSkOxqHjEZpQzEuMpv0ZDVqYpxhwW0IkpsdEoMc+gI27q1BW34ZnvnMrvmaKQ1KsDt29/Xiv8iIW3RKHyvMdmDNtEu1bpw2l10Xav2/edCxLm4KkWB102lCYJuuxpcSCinPtWJY2BTnpCfjO7QkwJ0TiwxNNKPikFqWWywCAzffeRun5W20LfvndNEpbj30AeXuqYZqsp8/nmfe+xOuH6pE5IxpTo8Pxu7+dRu7SWTAnRCLeoMWbn9XjsLUNiTEReGhRMnrsA8gtrsTv/mpFdLgGxV+cx13mybjLPBnJRj1SJxuQEBVOx0/+ynTMmxGNs1d6MC8xGi9+YIFpsh4igB77AL3Xfz52EYetrfjUchnzEqNRcLAOKzKmoqisAQtTYtFjH6DPoa2rF9tKrQjXhGL1gsQbNP3Nim+Z4zEzVof/+FMVjtS34VPLZXT39mPqpHAUfFKLXV+cR1HZWXx9lmOMkvFsmqxHwdAzUcoYoNOG0t8bd1ch3qDFbw7WwTRZjxc/sDg9z7w91fS/FCKAAzXN9B0mdTbursKytCm4yzxZMYL5xPkO/NuOCtxz2xR8d45yFDXbL3t95Fmx9QiPkdaTtrfIFIdlaVNcllOLX//6102bN28udFdu3AqIFlsvCj6phb1/EPfNm06ZmjYsBIetrXTw9NgHAACb953Ez+6ejcykaMq0euwDeP9EE3LSExChCcX7J5rw99oW+impvoSpkybiNwfrkDF9EuIMWliaOvGzXVXY/lcrjjV0oMfej51HzyM7ORZl9W34e20L7ps3HbPjDdhX1Yhvpyfg87NXqHAgA//8lR5sKbHga6Y4VJ7rQF1LFx5YkIhHFifDnBBJ0y18PdWIa/YBlFou4xupRjS2X0PRkbP4TnoCfUFnxRuQPjUSRWUNdABfsw/gfw+fwf/5p2QUf3EeEwSBMsJNOWaYEyKxMCWWMmsAmJcYjdsSIvHKp3VYljYFEZpQLEubgsb2a3j6vS/x6NeSUVJzCf+aOR1vHWnAz+6ejcb2a1j/v5/DZNRjVrwB56/0oOCgQ5itmDsNgONlOHG+A8/tr8GR+jaYpxgoo8vbU423yxtwtKEdC2bG4GumOPy9tgXfSDViS4kFi0xxiNCEIjs5Fm8daUDntT7UNHXiZ3fPxjX7AFq7evGzXVV4/R/1KLO24a9fXXZ68S1NnWjvtmP1HYn05SSC9cMTTcjddRyPfi0F/77EhAUzY9DebUfuzuOYYpiIDd+4BTF6LTbursKfj13Ed+dMpYLVNFmPpFgdvp5qRELkRLxYYsE9t03BnSmxiNU7xtaVbjs+OHEJyXE6vPSvc6jAmjppIv58/CLKz1zBj79pQkZiFGXSu49dwJLZk3FbwiSUnLyEJbMn460jDdiUY0asXouM6ZOwpcSCPx+7iAM1zThY04zHl5hQca4djy8xYfUdiYjQhCJj+iQUHqrHI4uSEaPXUsEWoQnF5n0nYbveB50mlI5Lk1GPvccvwnq5GyebOjEpPAwPL0pG5fkOnG7twqeWy7gnLR5Xr/fjl99NQ2ZStNP7SCYHSsJh4+4qLDLF0ffx/RNNOH6hAz+7ezYdi6Ruj33AJZMnzJZ9n4AbQoOtJxVMvzlYh6dzzMhMipZl0mx5peuTO08mD0pCjdCtppwaqBUQ4zYXk9GgxdZVGchbngYAKDhYh6NnrtBVAgC6ITnZoKS92+7URltXL/oGBunvvOVpKFiTiYI1mXh8iQkAsK3UihUZU53yvTy1LBXp06MQrpkAEQJuidPDFG+gtLR19eLbcxLw3L3piNZpnPrMXToLbV29yN9fg67r/QCA7evm4/75M7D5LyedaDt1qRPWZhvy9lTD3j+I/P01ePlALYw6Ddq77ZSxW5o6YYo3YEXGVHpvYvVaPHdvOkprW7Ak1Yhn91Xj/vkzADg2jCczeEtTJ368owK5xZXI21ONlw/Uout6P+3X2mxD4aF6PLU0FaW1LWjvtmNHeQO6rvcjVq9FR08f0qZOwo7yBpRZW7GlxEJn0OQZlFlb8URxJbp7+6lwyl+Zjli9FprQEGxbOw95y9OQv78G7d12usl9d28/2roczMUUb8CmHDOidRpsyjEDANa+fgR5e6rRNzCIVx+Yh6eWpaK+pRvWZhtabL2wNHVizWtl+MH/fg5rsw0AnHLq7Ko4j/9clop9JxphbbZhS4kF20qteGDBDDz7l5OwNttgNGhx//wZONvWjaNnriBWr8X67CSnvD+ltS0oWD0XAJC/vwa5xZXILa7EtlIrZk8x4KV/nYNYvXMOpL4BET+4Mwm7Ks7D0tTpWOGuycTPls3GtlIrSmouIX+F8/ghm9dsyjFDExqCe+dMxZnWbnT09AEACg/VO8bxULmu6/3YVmql425LiQVtXb3IGRL+jy8xwdpsQ25xJTp6+qAJnYCnlqWiYE0mnlqWil0V55G/Mh0v/cscTI2aiFf/dhr3z5+B7CHmLPdOSsHmG2JpK1iTia2rMuhkSJrXSglsDig2JxbhB1LhwG4URPI6ZZviZDcJcpdDy1VeJXZzKlcIxEZZLMbtCgJwSG2iLpkdb8DT732JtQsSsbPiPJalTaGfpFgdtBNC8PR7XyJ9aiR+c7AOsToNXvzwFKyXuzBtUjie+tNx1DR2Iic9AdZmG4rKGrBhcQr+YW1F5fkO2PsH8b2sGciYPgmZSdH41q3xmB1vQPHn5/DAgkQsTjVCBFD8xXn8o64VM6LDsfHdE6g814GBQRF3psTimfe+xN9rW/Bh9SX09Q+id2AQx893YF5iNIrKGvB0jhnhmgmIM2ghAqg42447kmPwzhfn8NyKdNyTPgV7Ky/gdGs3Pj7ZjGPn2jF10kQ8+tZRfPRlE/74eQOO1Ldh7owobN53EiebOnHnzBiU1ragf2AQOekJOH6hg6oqyD2ob+nCw4uSUdPUif7BQQwMiqhp6sQji5KxrdSKzmt9+KrZhoFBEeGaCVi3MAl1LV2IDtfgpzsr8b1509F49Tr+YW0FANw3bzqdLR2oacbqOxKxMDkGx8934BtD94ms4D61XMYtRj2idRr8z99O42TjVTxx1yxc7xvA20ccK6Ky+jbkpCcgKVYH8xQDzAmREAH8/asWrM6agQ+rm/BPt8QhfXoUzPEGvP6PM/jUchkr5k7Dd29PQHZyLJbcGu80MyWrx9rmLliaO3H8XAeeXJqKz89eQWu3Hf+xbDaW3BpPV6o/uHMmnv/gFMpOt6KioR2bcsxOKqzpMRHYvO8krtkHsPne2/CNVCPmTJuEB7NnIkITSmfwL35gwdwZUVgyezJKTl6C7Xof/vZVC17/Rz1ujY/E8x+cQtgEAU8uTcVbRxpw2NpKhWqsToNXPq3DtEnhOHHxKs60deMnS2ZhV8V5PPOdW7Fi7jQkxeqoOu/9E02YECJgwcwYAMBH1ZfwcU0zir84h9AQAcfPX8UfyhvQ2NmDy529ePJbqfQ+vVRigb1/EInREdhb1YiVGdNwsaMHd6dNwYyYCFXvJ2G4d5kn0/eQnYVL1UmsGkxJ2LCz7xZbr5NqiqibWP5AVnykjFyf5LervtVcKwBVq4ORqpcAvoJQBaPhxmzOFG9Aweq52HeiEfb+QXoecMyw91Y1omD1XETrNMhdOgu/OVgLUQReWHk7SmouIWFSOPKWp6GtqxdPFFciKzEKpngDAKBvYBCd1+xo6+rFlhILnfF09PShXxSx5eOv8OGJJlibbfjqkg2W5k5E6zT4wyML8fCiZGhCQ+jMeEmqEefbunHN3o9LHdewYXEKYvWOWUW0ToMH3yjHhyeaADhmWaZ4A/7wyEI6a7ts68XT95ix80fZKFiTiWxTHPJXpCPWoMX9WTMQrdMgVq/FphwzctKmYOvHXyFj2iScbu3Gbw7WUlVF7tJZePlALcImhGDjPWbsO9EIABAhIGxCCO6fPwOmeAO9l32DIvJXpiNveRr2VjViU44ZURFhSI3XY0f5OaxbmAT9RMeslM0ku2FxisOOMnQv8/fXYOPuKjqry0mbgieKK3GmpRsvrLwd59p6sOWjr7Ct1IoUox4AKA2Wpk56/4+euYKzV7rxbuUFJERNxC/3fIl1rx/Bm4fPAAAWDenaY/Va7K1qpBllWeQtT8PDi5Lx+DdM+GpohfH4EhM25ZiRbNQ5bVGZkRiFHT9ciLtvjXdqg6ya2rp66cyeXOcTxZU4euYKnemaEyKxJNWI3J3Haf0ITSieWpaKW+L0yEqOQf6KdDRevY5onQYbFqc4zbK3lVrR3m3Hs/uq8fgSE7auykCyUYeOHjvau+30vpNxr58YinULk5C/vwbP7q1Gj70fm+6ZjdnxBlzp7sOqedOxfe08ZEyLxuNLTNhVcZ7W37oqA+sWJuHZfdXISozC1o8sONPagx+/XaG4dScBOwMns2VCkxzzzV+ZTleKShlQyXF29s3O2qUZV8nzJu8WSxfbjjRbrLRvNRlX2VWPNMvvaGNcryBabL14qcSCRxYlY3aCw0D7qeUyvpuegMjwMIgAcosrcaS+DY8sSkZHTx9ydx5HSqwO+6ouIlavxaNfvwXJsTr86egFZM5w6FXLz1zB+182IWNaFD5vaMe1vgHUXu7G7VMnoabJsco4f6UHP3mnEi/+yxzMmTbJocoxT8ZtCaYTXPkAACAASURBVJHouNaH++ZNxzX7AH7yTiXCNaH4/MwVrFuYhP/vwFf4t6/fgstddjy8KBnzk2OoURkADltbsfdEIyrOOnTyL35gwXfnTIVOG4q6Zhver76Eix3XcM9tjhmZpakT20qtaO68jr/XteLfvn4LIsPDsKXEgpqmTkSFh+HfvmnCqSYbVs2bjtumOYzXs+MNeOeLc/jpt1Kx90QjOq/14TvpU3CmtRs99n7s/7IJCZETcaS+FYIAnGvvwar5M6i+uLH9muP675uD79yegCW3xsM8xYBXPq1DvEGLX+6pxp7Kiyj+/BzmTJuE2QmR+HqqEQtmxlA7x/snmvD52Ta02HpxqfM6Hv3GLTBPiYTlUifylqchOVaH7X89jdOtXbg1PhKFh+ph7x+EJiQE+e/XIN6gxZZVGVgwMwaxOg0+qrmESeFh+PZtU/D8hxbsrWrEoltiscQ8GbF6Le4yT0ZbVy9EOFRf759oRNGRBly40oP2a32YPdmAZ/edxLFz7Xj9UD3eq7yI7ORY3GLUo6isAeGhE/Crv9QgQhOCv37VgkkTw7Dx3RMImxCCinPtmDYpHJZmG1bMnQaTUY/slDhs/stJatiP1Wnwq7+cxFNLHff8gQWJWJE5DeGaCfji7BXMS4yGKd6AMmsbkmN1ePJPx/Hd2xMgDo33Ty2Xsfne23DfvOnITIpGj30A//mnKhw/14GDlstIio7A7/52mtoaosM12FVxHp3X+tB9vR/Wli7MT4zBD/5pJspOt+Kjk5eQPnUS/n2JCSKAUstlLJgZQ/vb+pEFE0IEXOnpw/rsmfisvhUz4/RYems8tX/JvZPEWYOs7l2VJWN/y9CKZcHMmGHlSTlyXdJVAlml3GWeDAw928PWVvzs7tlIitVR54cDNc1OzisESoZxd8Zytj6xg5AVja9sDUpQu4IQHB5PgYMgCDMAvAVgCoBBAIWiKP63IAgxAHYCmAngLID7RVFsd9VWVlaWePToUa9pIbME/cRQqn/88EQTnig+hghtKJ7JuRUlNZdw//wZ2FHegNpmG360OAWH69vQ3m2numGjQYud5eew9SMLBkXANFmPhxclAwDy9lYjf4VjBpKVHIONu6uwdVUG2rp68ezeajy5NBW5O4/jqaWpdBb++BITnfGXWVvR0dNH2/mfv5+GJjQEPfZ+XLrai98+kAkAePlALb2up5al0hk3ADoTzttTDXO8Hq/+1YrbpkXhpftux5YSC7qu96N/cBBrshJxV1o88vZUY0XGVGQlx9A2jp65gtxdx/H7hxYgWqeBOSESlqZO6smz8b0qXLMPwBwfiUkRYbh3zlQ8/0ENbL0DME/WY6JmAl5bv4DaLfL2VKNvUMRL992OZ/dW47mhe5S/vwZ9A4OovWzDzBgdIAjQaSbg8SUmmOINeLToC+i0odReQ2wI5Fls3F2F7t5+PLk0FU8UV2KyQYvHh9Qom3LMaO+247F3jiE6PAxXuvvwX/9yO36550sMQMQUgxaR4Ro8uTQVz79fAwCIinDo8DWhIdiwOAW5O4+jYPVcen+PnrmCXRXnkZM2Be9WXsCxhna8sPJ2ZCRGob3bjm2lVtQ22/DK0Gru0aIv8MCCRPxyXzXmTo/Cw4uSkZUc49DlD42DjMQoPPhGOV5Zk4mOnj5Ke6xeS20hW0osOHulG8mxOmoPKDxUj005ZuTvr0G3fQDVFzrw2wfmYW9VI3KXzgIAupogdrVYvRaf1jQjMTYChYfqsWFxCgoP1aPrej/OtnXjuXvT8WqpFeGaCVh0Syze/vwcXlmTiZcP1KLzeh/OtHbjv1dnYlfFeXRd76croMeXmKj9Im95GswJkSgbUiESOtl9GwiIgCDvSMHBOpc6dzJrb7H1UtUumfGzdcjqEYCsrUH6X1pfzf4VcmUsTZ2UR7gDeS7kvrjbD2IkEAShQhTFLHflfC+a3KMfwH+IonhMEAQDgApBEA4AeAjAJ6IoviQIwtMAngawyV9EtNgchl7y4pNBlpUcg+dX3I53jp7H1o8seH7l7dhb1Yi85Wlo77ZT2wJZrhNXz9LaFmxbO48aBc+0dOPZfdX4z7tn0xeULL0BByMMmxBCVVuFh+rR3dsPQXC8/K+tX0ANvF3X+/Gfd8/GjvIGCIJDZTIpXIPHvjmLnq9rsWFmrB46zQSY4g2wNtuwrdSKx5eYkLvzOIoevgO5S2eh4GAd7s+agcar1xGr12LD4pQhtYwFibEO3fCKjKn45Z4v8fajd1LBkr8ynQoH8tISY/WuivMwx0c6MTtTvAH7TjTi3jlTkZEYRdUogIOpW5ptMMcbcKalGxUN7Xj63ROU8bd326mqq62rFz995xj+/Y8V+Pk9t6K6sRPpUyMps9RPDKXMpsXWS5+NKd6A5+5Nx7P7nNVCpngDEqMjEDYhBDE6LZKNOrz96J0AHE4ILx+oReGheipU7p8/A8lGHTUSF6yei6KyBuQunYVYvRbfnpOArOQYGA1a3JUWj09rmlFa24KMxChkm+Jgijdg77ELMMUbYDRo8dr6BQCAV8LDkGzUoeBgHbKSY5BtisPmf74Nm/9yEgWr52Jy5ES8fKAWmtAQqiLbuLsK7d12nGntRrJRj+RYHUJDHAw5WqeBvX8QsXotCtZkUoNuVnIMko06OtY35Zjx7N5qfHXJBiEEeHHlHLx8sBZPLU2l94gY8ck4tlzqhHlKJA6fbsP06HAADvXTU8tSad9kXFubbfQe5i1Po8yRqLjs/YPoGxjElhLLMEYNOJjrphzzMPUN+95KN9MiIAKOjDG2rjkhktIo16er/9LjrFCSlmX7bbH1KgolKYhgJGVd0RFIBNwGIYpikyiKx4Z+2wCcAjANwAoARUPFigCs9Dct9v5BOvOyNHVi4+4q5BZX4t3KC9h0j8N9Lis5hs5ITPEGJ0+DwkP1WJ+dRL1qsk1xDp3l/hr8Yu+XmGzQIiMxinoxEdsA4JiRklmwKd6ADYtTHIay3n6cbOrEpzXNyN15HDlpU1B32YZ3Ky+gu7cfouhYki5JNSIqIgybcszYvm4+ih/Nxms/yELBmkxYm2348dvHUNN4FQDoLlvt3XYsSTXinS8cM962rl78+x8r8OJHpzB1UjhePlCLH++owP/8/TQGmYUle/3EPx5w9orZvm4+spJj0NbVi9ydxx1eTMvTsHphIswJkdiUY0bBwTq0dfVCEIBQwbHSSTbqoNeG4oEFidTWQnTsRoMW7d12nG7rwcCAiMjwMISHOZgcmXFvWJxCVzMbd1fRWSsAfHtOAl5Zk4m9VY3YsDiF9h+t0yB/ZTryV6aj4GAdZf6Fh+ohCA67BxEOv9zzJZ7dW0113NE6DVZkTKW2EJZZAEBJzSWsyJiKgoN1sDR14uiZK3jhQwseLfqCltm4uwo7yhuoRxNLL/FmutRxDf2Dg9Q2Q+5z2IQQCCHApntm48X75mD7uvkoWJNJPbraunqpFxp5brF6Lez9g9ReFTYhBMlxOswyGpBs1OGppal4+WAtctKm4LF3juHn752gz3ZHeQNMk3X4xXdvhSY0BKEhIZQRF5U1AAAefKOcCv9tpVb0DQzS50JAzgOO8Xv//BmyunZ21zcyBthz0p3Z2Lr2/kEUHqp3GrMsWFuGJ2B34yOrXzLe2P7lbBxbV2W4FA7sdZKywA1vudHGaKwgKARBmAkgE0A5gHhRFJsAhxARBGGyQp0NADYAQGJiotd9t3X14mxbN05evIqu6/1o77ZTFcRP3ql0zJTXZNKya18/gqSYCKzJSsT//fgr5K9IR1REGLaVWqnKBXA86II1mfi0phnvVl7A0++ewLn2HkSHh+GJnZWYOz0K+SvT6RJ64+4qh148NIQKq9yls/HtOQ47SFZyDJ2J7z52AZrQECxIisYLHzpmJgtmRuO5FelOy9JtpVaYJuuxat50+sJ09PThpzsrUfR/7sCLK2/HXWkOY+ltCZPw+BITonUaqq7RhIbgv/7ldgCOgUpcHLeuysD67CS6IiEvYf7+GoeL79DKomD1XGwrtdIZqzkhEuaESKzPTnK4z65Ix5mWbpjiDWjr6sXsKQaU1FzChsUpyDbFoejhO+j1mOIN+O3qTCQbdQBAZ8yFh+qpqqfM2krVFoTZExChTgzdrDujpamTXkPBwTosSolFaW0LrZts1CHFqAfRwnZd78fT732Jc23dSIzVYd3CJNoO2b7S3j+IHeUNeHyJiR5LnazDj75+Cy1L1DjWZhueKK7EzFgdXZGR50UM/2xbRKgBcFrZERAhTJ5Xd28/wiY4xtXp1i5sK7WiYE0mXaUBoLp74oBxS5wePfZ+nO3oQXu3HX0Dg2ixOcqSFQFRg5BVXmq8gd737t5+nGnrxpYSCzblmJ2ECal/9MwV5O2tRlREmMO9e2iMmRMiXa4aWKMyqUPuCwC6ciICe+PuKkVVFtuu3H/2NxFuROVFVo9ykNZ3t2pgVxxsWTVqtUAg4DYI2rEg6AH8DcALoii+JwhChyiKUcz5dlEUo5VbGLkNYmf5Ofxiz5fQhoVAEzoBJqMe29fNpy8AGWQ5aVPwzhfncLq1CwKAGTE6RIWHobu3H/VtXZg9ORLb18138npa93o5pkzSYlK4BguSonHgVDN+cOdMJMZGUBUFYaxksJGBTQbk+jc/x+Z/vg1REWF47I/HYJqsx5NLU1F4qB4mow67Ky7i6RwzSmtb6AtmaepE/v4aJ500af+xtyvw3Ip0qm5gl7Ittl48+tZRhIUI9P4Q9Q3R7ZOXjdge2Gvd8cOFVJ3A0kB0wtZmG37yTiWS43ToHxxEw5UeJEROxOTIiVQtwOqPAVCvL+DGsju3uBJ5y9MoA8rfX4NTlzpxS5zj2RHk7anG+uykYTpp9v4++EY5/vDIQrR329HR04cndlYiMTocsXotnlyaSgXYlhILtTGETXAI6L/WtuBixzW8siaTMkGi0nv5QC0dR/n7a3DiQgfCQkPwworbkbe3GrOnGOhzJ6pAAFi3MImq6EhbhYfq6WSCqDhZFQahz94/SBkkeUY/f+8EIjSh9DgZB48WfYFz7T24dUok1i1MojaOgoN1WJJqxO5jF9A3MIjX1i+g/RIbV/7KdGwpsVCmT2wbRHDk7XF4O128eg0zY3TQhIZApw2lwp96knX2YlJEGKVNydYgZaLscXblxgoMwsBziyvpOJdrl9g6SDuswJX+ZoWCO1WTlGZXDN2VukqpvNz98BRqbRCj4uYqCEIYgHcBvC2K4ntDh5sFQUgYOp8A4LK/6bgrLR7zkqLx+g8WYPvaefQ4Ozu43Hkdefuq8cCCRNwSp0eK0YD//3uOADudNhS3xOmpYY7AnBCJ/7x7NoyGibh3zlT8ttSKk002/O9n9UMrBMdLVX3RoQIiswdiaHvwjXIAwOZ/vo3q0E2T9XhuRTpM8QZ0Xe/HF2fb8V//cjtKa1uoSqPM2kpVA8QWQmaKRoOD6RFVBNHzAqD9nmvrxsOLkpG/Mh36iQ41AJnVEQbSYut1mpGZEyKpoVyqdyWzd5Ka4bcPZCJ/ZToiNKHYdLcZl22OoKttpVZsK7XS+0JUfUQIEBsRWZ0RlZU5IRIFazLxxx/eSYUDCc7LXToLRWUNTuowS1Mncosrsfa1I2jvtiN1yAay/n8/BwCkxEagtduOry45mNiPd1QgVq9FTtoU5O2rRndvP+6dMxWv/tUKCAJeGVphkoDFry7ZcK6tB6dbuyijzluehjnTo7DpbjO+PScBO364kKqE8vZU0wDJ7t5+/HRnJT6taca2UitOXeqkQX3WZht1e2VVUgCcAjutzTYn9cy5th7qNkye2dEzV3Cx4xo23W3GuoVJVP1GVnhbPragx+5YeRDGDQB1LTZYL3ehvdtOVTnrs5OwpcSCp989gdziSjrx+OV30/C7tfMRrXMY/DflmFFU1kCFw4bFKQjXTHAaQ0oMTykwjFXjkDLmhEi6egJuBNOxgkQJSq6r5Dd5XtI6csFxUtdXd8Fz7sqouR/+QsBVTIIgCADeAHBKFMWXmVP7AKwH8NLQ995A0PPq9+fTWe/Ztm7qCUFmDJMjJ+LxJbOQbNRRFc+Zlm6HvniIQQDOy9D2bjtePliLzf98G7KSY7AtPAzbSusQFaGhjO3DE03osfej6lwHFUi5xZWw9w9iWlQ4PZY65C0TNiGEztKu9fXjq+YuREWE0Vny+uwkbCu14nRrFzbdbaYGaKLCeGqZw6vnlTWZ1AhJZlHE+yQhKhy7Ks5j66oMWjfZqHNSEUlhaerEywdqcbq1C3/8ocPYS1YdZPDn76+h9hByXXelxSMyPAw7yhuoEZbU2boqgxq6iU2j6OE7nNokKi/ghmcOAKzPTsITxZX4wyMLqTqsYPVcaisiEdemeAOdvWZMj0KyUYep0RHYfG86Onr68ObhM6httsHabENpbQs23j0bpbUtSIyNQPq0Sdh4z2xE6zR4oPAIREF02DVWpGNXxXncEqen99ecEEkdBSKHDNPk5WZ93l9bvwBHz1zB3qpGGoUPONR3Jxuv4nffn0+FPpn5AjdiAAjTZgV/ilFPVXCmeANyiyupJ97uYxeol1JRWQNM8QaY4g2UdhqPMTSLLn40mz4jMu5JP4+9cwyvPjDPacW1dVUGnVTkr0xH7tJZTpkIyOqUZfT/r70vj6uyzPv+3oDnyHLAww6yewREBAE3MjUby3WiKW0xe2xqxpnWx+ntqabJXtOZp+zpmfExqzdresayXLJSM8MlHTUDFxQR8QBHZFHgsCqbgMD9/nGf38V1Lu6DuKHz8f5+PnyAe/1dy30tv+X7ozrrq9HYkWdRe0dXD28gtRW9uLMQ/xbVRI4mKkf2Dv58bwO6n0Fv1xccoS+eVNcbN2MHMR7A4wDuliQp2/YzA8rEcI8kSYUA7rH9f8NAg2Ntk2Lw8vHQs4Ay2qrWNrXhndmJGBXpjWXpZkZPsHBDNnPZ8zPomY3it6sP47GPM7FyjwWLfzkcaw6W4OWNxzEq0hv/eHIsW/1S4N0rU2PxXzvysXDdsR5GvCNn6rAs3Yx5Y8OZCsJibcQbm3PhOsAFf7bRcNBkZgow4LnJJvwlbQTe3ZmP364+DFOAASseSYLHQBcY3XWI8HHHyj0WLNqUi7mfZLLgLApQ8+c8SEwBBkT4dHvvmCsa8IKNAoI3ENJqbYivB+qb2/H43w9i6dY8dt7PoMeiWXEYGmBgVA5kTKXJ4cV7opkhltQmZOiODfLE6ifHAOjeBQDdg8CiTbnIsNQwWhQATCeeavJl9pDn1x5jqrHljySxdlu+qxCzk0PYrsQUYMCGrDI8OT4SpG1bOGUotudZcamzCyv3WCBDYiqXuGBPfDg3BfXN7Ww1TmoYMmKSh9Jrm05g7seZyLDUIMNS02PXNz0hiE30K/dYsHRrHuaNDYeTk8T0/aROorITxQd54/G7O52LE46cqcMT/ziM3XlWLH8kCSseScKBolroXJyw4pEk5oRBA+EH81LwwbwUZvcgOxn1g0WbcpmeH1B2icMCFXsEGccJtDMgVdsL647hoZRQrM4oUbUNqK2keYM0DzISU9Ak9Q2qHwqIpG9UbUXfF/uAuDNwhL5QbDg6Lxrm1cCXt1+N132hfL1Vf66F7ptom0WKZjonUlnzFNHrMkt6UPhSvgeeunn2BwfkbcfLe9B4i4lceJploqdOWrJdvn/lfibjz4XV8txVGXLim0quiTkfHmA5J6gsRAlN/P98vgZ6LpWN5FWj3ebrR0wkI1KFqz2jNypw/l4+twZPT02yislx+JwIRLnOH+Oppvn6Jnpqejf9/t1nR+SP/2mRo/+0jeVR4Knb01b+JM9dlSFvO14uJ7+5XV6XWSJvO14up723n+WDoJ9RS3fI246X21GMi+0+d1WG/Ofvcllb8dTePDX27A8O2KVkFduRnkt9gi87T0dN9/9tu5nRgIt9QS3TGd3LP4cSQfFyidTzVMfU50W6dPpfLY+Eo7/VKK7Fb4+/j3+PI/SVLvtqacd7o5LvCz24+D+VV+xT1wJodN+9w13vwiJzDxfX4aGUUKzaX8Sov+80+WJmgqK/5jmbapra8NJXxzEu0hsRPu5YnVECT70LTlY04IHkELjpXPDWNjM89S7YcLQMu09VIaukHsODPVHDeUHUN7dj4ABnlNdfxIrdhYxJEgC8PfTIKq7HH6ZEY+64cEyLD2KRxHdE+TDG0tzyC5huOxfsNRDT44OwOqME81LDMTbSG6v2F2FnnhWRPu5YsjUPn2UUY1yUD1x1zjhgqcGuPCv2FlQjOcwIGejBS7Mlu5xRQI83+aK8/iJiOKbYVXtPI6+iAaMjvBHuo3gZ1TS14WJ7J5bZItS9bcykfga9HTvuW9sU+wLRoi/echLbcytxquICZiYEI8TbjUW2AsC3R89hRkIQZiYEM6bZmAAD1h85y9SB4T7u8LHtqojxdv6nhxDtb8CfNp+wo/kGgDCjK344acWTd0QgPa8ST42PZGy9F9s7sTe/Go2tl3Ds7AXoXSRsP1mJH/OrMMh1AP7zVyPQeqkTH+0rQkyAAaermzEx2g9ZpfUwuurwHxtzMD0+kNFqv7XNjPFRPlixx4JnJ5nwyJgwTB4WAJO/BzOoZhbVYsGEKGSV1mPuuHDWH95ON+P7nAqk51bC5OeBGNsu9N0d+cgrb0BKmBGpJl9GxT3/00MYE+GNh8eEKav370/hxSnRWJ9VxvrDwvXZGBPhjcmx/nZ07cRyujPPirSRg+Fn0NtotQuQXVaPlDBvWKqb7KjDfTz08NS74IX1x+Dm4oTXt+RizykrvjxUimnxCi12uI87YyZYc7AEI4K9EOrt1iPaWIxQJoprfvVOkcfEZUXfKDEcExtzb6yofR0jCNWNbT24mnjZec8pPuKawDM/q73f0XOpTkz+HvhoXxHujvW3i9S+2ihrje67D2hp72QEbhRwdnesP3acrMSh4jpE+rjjb7sKEWZ0xeRYfyzfVYiYAAMOFdfhaOl5fJV1Fo+PDcfS7/Pg5TYA42yd1sddh09+OoMl98VjZkIQpsYHYlm6GXvMVVgwIQqtlzrxb/97CPsLqrHx6Fm8PjMOU+IC4KZzYZz0Jhs9Q5jRFTG2rTiRoGWV1uPffzEUhVXNeGJ8JMrqWvCb1Yfx2LhwRlU9cIAz7okLRHKYER/tU7xs8q2NyCqpR2ZRLZ6eNAQnyi+wLT9RDdQ2tcHXoEdO2XmcKL+ApycNwcNjwmCxNjJa7sSwQZgY7YfpI4IwKdqPkZmV1bXgsY8zcbi4Dp1dMrJK65GeW4nd5io28dJHEmZ0ZQR198QFItLHHalDfLAttxK/iPXH27bcGou3nITRVYeNR88ympJwH3eMCPbC+iNnMT81HCHebgpvDqdyowFp6vBAGN11+DrrLObZ6odyIGSV1uOle2Ogd3FCRlEtDhXXYWK0HwCF3r25vRPFNU240HIJ/p4D8Z+/SsD4Ib4oqmlGSrgRz689hsfGhOFzmyvq6owSPDU+Ep9llsBd54K7Y/1Z+RSSRm/4u+swPSEYS7bmYXiwJ5bb+lf22fN4ZVosQrzdkJ5bySZdd70LYgMNCh1LfhU2HCnDiGAvfLSvCA+lhMJS3YQtx8sxcagy0brpXDAmQlkcEOX61OGBuCvWH+NNvkgOMyIp3Ij4YIV6hHJuAAqFNr2XKO3NFQ34aF8Rfj9pCCbHBCA9z8ootilPBg2IO/Mq8evxkSiwNmKQmw6/viMSd3EDGi3KxkZ6s0m8tqmt17wKtLhQOy7mhyBiQprYrhccDfw0UdG7qK3U3k/Ekr1NXATxudWNbXZEhXTsWqg4NLK+y4AanULhSRcPKAZhcuMjcrT65nZGUHe6uglT4wIgSzLCfNwQG+SJX98RySi9/7qzAKcqFV35qv1F7PkAWNxEfLAn/vuhkfj8qbEsAI3sEEfO1DEPnIXrs+3ohsmAbAowwN3mCVLf3A5Zsi8b2TUoYCrV5Iv3H1OCqkjX/sq0WGzIKsP8VMWff3eelZH9UZAeBUOZAgyIC/K0I2Qj4zVvhIvy84C73oXRPvO0zORtQ0GAR87Uob2jiwW9AUCcoJdu7+jChqwyvG+j9OZ132SgB2BnrOddlH08FDm//O04pvNevqsQr0yLxTuzE1lg3ryx4cwwS/X8ytQYDAvywmvThyncRO46ZmcwBRgQ4u2GjUfPwlzRwEgcKejxg3kpTB9PdoJn1mTho/1FOHKmDvmVCmUGeVuJOvmlW/OY/p1oxMlukGryxfxUxT317QcTsMLmFfXMmixmh2lq7ehhPwDAdPOpJl8smBDFbE4WayOLcOZdLymWY3VGCbNXkJwUnfzO7ESkmnyxdkEqjO46vP1gAuaNDcey7WbWd3l7QKrJF2mJwWy3U9vU1oPAj8quptsXA+aovaifXevkIL6Pf35vBnSqLzWoGcXF96nZO6is5oqGHvf2hzfTbTtBAGA5EhauOwag29de56JQYBCFxotTorE6owT1ze1Yen88kkKNuDPaD8ODvJibIhlcz1Q3Q+fixLw6ADCPiucmm9gg5KZzgY9Ht1GPXOkWTIjCG1sUH/5Rkd4sCpo+BmKLtVgbmRFydUYJ3n9UcdMlw2Ve+QW8+s0JNmAA3QZ1MqACSmDTyj0W/JBTgUVbcuFv0LP37imoZpNHbVMbPp4/mtURD96zaOn98cx/n84B3QF8Fy624630U/jtnZHYkFWG9o4umAIMeHFKNFJNvmwlTp5Qi2bF4Z3ZiYrLrG3QJIPdX3cWsPwYNDmQOyUP3jWXd1sEugPupicE9fiAV+0vgiyDcWRR5PPqjBIlItttAJbeH4+Vc5OZAfmZNVl4wTY5k3sw0bN8MC8Fnz81FtMTgvDeo0l2EyzvY79oVhwzRAOKV9h9NsJFU4AB1Y1tjHgQUOJHLNZGFNc246GUUOZVJuYvIVisjciw1OD5tcfwfEkuJAAAIABJREFUxuZcG/9Yd74N3gOHJj21YC7q2/yxeZ8cxBubc/HpgTPostH2iQN9hqUGCzcoiy6KHJ//6SG7yYQM95fzHOINztdjYuBl5fvR5Z5PMvQ2aDuaHGgC4J0w+HvIaYafSHrLeXE9cduqmHgbxL6CamQW1bJUi5Sak9RFm46XIy0xGK9+cwJ3RfthRoKSbpLSdtY0tWFfQTXuSwjGkm158Bo4AI/fEaGssgMNLIPYit2FzAec3rd4y0mmF3473YyUcCNOVzdjanwgXvvmBLLPnmfqmZ15Vtxp8sXJ8gbMHRcOo6sOi787iVdtu5OP9ikxFiHebthXWIMBThIWzYpj9oEfciqwOkPJ5HanTa3wk6VGyaqXEoJpwwORlqTkBAj1dmN6T2dJYjprypDGb7XNFQ1w07ng26PncHesP1bsLmTMmjLAGDf3FVSjqfUSmmy2CFJzGV11eOXbEzD5etjZFF7eeBzbcyuZWmjV3tMYF+WDj/YV4cGkEGw8dhZ3x/jjo32KT77RXYdxUT5YbsvglzZyMFMnBRj0TOcNm0xhRldkldbj4TFhLP0mnwZzvM0ONS0+CNPig1Db1MZSt/p46JkK5+10M8sdMi7KBw/YvKIAxSZDMt8d6w83nQvK6lrw0b4ixtppsTbi9U25mBzrj7I6JYJ5zaESZJeex848K37IrcT6w6V46d5Y6Ac4MRUQqdvGRvnA20OPsZHeiA8ZhL0F1XhiXASmJQQxVRENYAEGPZ5fewxFNc148o5IWKqbYLY24t/GRWDnKSseSA5h6VAppS6lkRVZUs0VDXj87wdZ+lBfgx4To/0wOdYfc0aFYuaIoG63Zi7DW6i3G0bZmGf/tqsQMxOCMXV4IHw8uvM8qGVfI507lUVUxVwJRP09DbqkarVYG/H7NVmYMNTXIZuseG9fZDFXNLD65csa7uNul3aVl42y0QHoUT9Xi76qmG66J9K1/FyLFxMP0UOE9+LgvQfIg4P3RqBrZ39wQJ67KkOesXxvD+8K+pnzoXINeYXIcrfXxROfHpTT3tvPzpHXC3mGqHkTkefIqfILPbxUeA8hWVY8S6L/tI15mFA5yBOGL6/offPEpweZx8224+V2z6V3r8sskZOWdHv2iF5IJEPym9vtPLv4c/z/VN+jlu6w89Ti65P3gJq7KkNOWbKDvZsvW9p7+5lXl+jxRNfPXZVhJ7+aVwl5vIll4+Xi+8ap8gtyks3bifdS4r3D5q7KkOP/b7oc9epWeV1miZyyZIed9xvJM+dD5b1j/ryzh3zUt+jd6zJL7K4T23VdZold+UUvNtFLiPfskmXZru+SN5noHUb38XLx3wPfv9TqTu0bJZnEPtob1NqRf5batbzXUF/RF3n479RRGRwdEz3OrhXooxfTba1iIpAKhdQuFHhEiXFW7rFg4bpjjLVS3Ia/MzuRqVaqGttwprrZzj+fQGylpHYgX3gfDyUtJSV5IR/45rYOvLEll10H2MceLJyiMI76eOix+skxjNcGUHhziAywurFNSXj00EjGPErlSDX52tkJ+KAfig8BFKrytMRgvLEll6k26Pzyh0ciPa+SBVktSzeziHHampsrGpQgMn8PJgPVNcn3Q06Fna86xXEw24EtfoF+yCZBAXBE97FqfxGj2gaAtx9MsItxeWNzt/riTHUzs0HwsRx8vAehvaMLktRN0khlECPp+ZgWcLah5bsK8VBKKHQuTizob9GsOAzxVYIR744LwNK0eOhcnLAhq4zFaRB/FcV10O6K1CC1TW0oqm7GgglRsFgb8e7OfLxoi5p/eeNxlsbVz6BHhqUGb3x3kqlLHVFRk1oD6Cb7I8LJJ/5xGD/kVLB+SOllaWVPEfFLt+ah0NrIUtWSXYhkp77Mp/V1BFLfiH20N9D7qB35pE+i2obewb/LUWrUqwGpOVc/OUZJ0tVL5Lh4X2/qthuOvswit+rPte4g+BUDH2/wxKcH5Tkfdsc10MqRzosrY35VQytteg6tsOg6uo+eSytYWlnwx+lHlJX3UaeVJV8muoZ2BuLOSG1FIq6e+DLx15OM/DvEWAi6ho/1oLrjV220ojpVfoHtcESffz42gfcD5+UXy0I++2or7Z8Lq2XTH7fKM5fvY/VOcS38joR+i3UqxhzwdUfvFuNc+PKKMQF8PIi4w6Fn8+UX64PvN+JOlC8LL+PH/7T0qEO11a0YFyPu9kh22mGK38LPhdV2u2a+XdWeeyW7AvEbFM/Tb7G/i2XqK3p7jxjbpCbH1a7+HZXxWoE+7iBu+iB/LT/XGijHb6P5D5BUDrw6iP+QRRUFr4biB28xqIj/eCmYjVfdiCoIR52Kn4QSF6fLI21qDCoX/eYHCDomqkD4uqCJRhyk+Trjn8EPEPzgnLJkh3z/ym61zpwPD8gjF6ezgERxQOXLJQ6w9M7ZHxyQk5ZsZ3XDl5W/jgZ6vk74MlY1tMof/9Nip47iB12+bsb8eSera7UB01GfEgPmxGsosI4P0KS+wqsP+fqmgVYsO3+fqBZSm+x/LqxmE7HYB+gYPymJ/UmUje6jthYnUbUJqi8Qr1f7X23gdbTwcdRmfTne23v47198r1h/fYVaXV9vaBNEHyDuBtR+xFWdo4+Rn1h4WwU/qNCHJOrzRTuA2kelNnDJssyewU90fKcUV2/8ylZcddNqetTSHT0mKbHjiwM4f4632fDH+JUxfz0/sCct2c6imvln0yCqtoOj8/ygzNtJxMmSJmi+ndXqnG97fvBzBN6eQfYjflcktiPf1rQwcDSwqen71eqQjqm1G/3mJwJ+cuQnKN6GRe9wtBulhQJNjJdbUYt/ixAHxt4WS3091td38cfVFlNq73HUZr3ZVBzJy9e1uAPure9dKbQJ4jKgjsF/LLwxlqciEFd3dL3aR0I7BDX1kCzbr9hOlV+QU5Z0r7zonaTSUvtAxElL/DBJtcKXiR+EROM7D7Hs9O7ePlhxEBINsOLArDaB0f9EYyGupPndG19P/Mqe33mJExip+njDNf9DkyNPfcH3E1rxp723305evk35XQFfB6LakF9Y0K5AnLz5PsPXuWho569VG+AcDXqO3sP3c363wteDOEFQmbYdL2cqKrHP0/98e6k5Q6hNIOJ3eq24kkmGbxu1HcTl3uPoGvE5jvqc+M2ROvZ6oK8TxG1rpCZj2uqMEmaoampVjMKTo/1YrMHS++NZOkcyytH9AOyYSAHFEE0+/JRVjA/q4f3dfTz0WPMbxXhKhmsykBNlNAXfkOGPjLdkqDNXNODTA2fQ3tGlZF+rabIzGPLBQ0SdTbTIfMxAdaOSOnThlKFI5aJoyVBJRk4yttH71QjElqWbYbE2soxqfE4HPtaAiPuoHIs25wKSxDKf8TELlIFvwYQo/G1Xd24Cet+CCVGMRptvDyq3x0AXu8Q1lDiHYl6WPzwSm4+XY35qeI+MZrFBnvj8qbF4+8GEHgZpc0UD5n+q0IWveCSJZXijtqJETBQ4Sc8/cqYOlqomXOrsYs+i/iL6xlOdU1AlUVrTtfSuDEuNXTuoBZmJRHY8+NgKMqTzWJZuxsJ1x+xSY1JfmJ4QxAywVG88+NgF6s90DeUU4R0DxFgM+k4vR1TX23nRaM3LpgY+cFJ03lAjFaTfvcUpiDKoxTlQnxNTpvKJtPoNfZlFbtWf6+HmKs7mtDrlV7KOiLLEbSS/wuf/px9ejaS2KuHVP/xKQVy58eDVFLLcrZNWU0UQSRw9m1+Niqt5fmUj2lvE56qtZmk3I7rb8nKLtgZSl4n1xP/M/uCAPOTVrXZ1LNpBHK2mHdUff53a/ZcrK9mPeCO+mn2L6lRtp8avGsWdKv8uNRtZVUMrUw2KO081+fk6F/Xm/I+odlPb6fRWX2r15+h6cQch3sfvWhytzsXv8XLnL7ebEMsurujVvpXejOeybP99iuXvT0BTMfUdag3NM6X2VQdKkwMfbyAaG3vzElGLRaDj4qBJ50RjIh0X381fz5dVNMzzH4CosxfLy8snDi6it47atpo3hvMGW75c5EfPT55zPjzQ43n8wCfaRxxNbr21K38/X07RaWHm/+xlxvNtx8t7xDGI9a42CfByqOnv+bYUJ3UqN9mPevNSE/sR357idVQWUQ2m9ty+fhuXu87ROfEbctRu4rdwuXepTY69lU2tL4iT8eUmQV4NJ5axr5NEXyfk3qBNEH2EWifYdrxcHvra96rGUv4+/m++04qeL2InFAcutdWR2oAvGhNJt96bQdbRgKP2XJ5qmwzV5IWU/OZ2VT1wVUMrm0zVDJlqKyt6B62CafXriCKbbCy96bfTVv4kpyzZYacLVzPeirKpGZDpbzXD8bbj5XLSku3y7A8OyDOX72M04HQNudgmvpluZ4PhHQv49lazKagFUl2uz/CTLX89D7UFj1rf420zvF1C3NWpfQtiGcRdoNpA6mgCV3u+OPmrPUftf7VnqU0Eat+1o+/f0U5MzYYjyq92vC8eS71NtFeCvk4Qty3VBoGodImOoqW9Ex/uPY0n74jElpxyvDItFm46lx6kXIs25cLk7wEZYEySL90bg3Afdwxy0zFm1KVb8xhdNgAWzg8AiSFeWGajcp4WH8RojVvaO3vQ/brrXeBr0DP6Y2KhPVxch9dmDLOjbN507Bz+/tMZxAYYGEcRT+1AzyZ5ZiYEIznMiAeSQwAAf9tViD9Oj8UYG+vm7ycNgbmyESfKLzCKDaIKyCk7j1X7ijA9PhBT4gIYkyWxcBIdNNUHMboeKq7Dpc4uNLZews5TViy5Lx7xIYPsaDxkAOm5lcg5dwGNrZew/kgZJg71Y2UlOoJ9+dXYnH0OS9MUXXh8sCdMAQbGTkr0Fm46Fyxcd4yxpcbYkhjtzLMyOpPYQAN8bTQOsYEGZBbVMgbOlvZOLP+xAB46hYzQbG3EvXEBOFJ6HokhXpABxAR5IiHEC6cqGvHcZBNigjzha9AjZJArFn93EhOG+iLcx53RP2efPc/YUc0VDZBt9U+MtHw/bWnvZHQdRBWSUVSL0RHeWLG7kJVX5voZz3j61jYz7rbRe4+N8oHF2oi3082I9HFHVmk963/BXgORffY8psQFMFoTU4ABG46cRVZJPaP6pv4k6vDNFQ34/ZoszB0dhtUZxXZU5Qs+P4LQQW74cO9pRhdBVBP0P9FR8GWnMizecpJ9SzzDKv8c+o4TQ7zsqCt4SnOeWlyN2oOu3WOuYozEPL0MUbjzZSAb3WvfnMDJigvIKqnHL4YFIKfsPEK93QDAIW2Hr/AMRwyt1AeuNWBOo9roI9S2pbQ6SFqyXXUldKq8p9+62qr5iU8Pymkrf1K9hvd+4v8mOFqh9WWVSPKJXlpq22FeZv68uAJT07mSzIlvpveoJzX3STGojs7zPvmimom/nr+Oj0cRV+dU7tkfHJDnfHhAnv3BAeZeTMfU3IpFW4ZYR+IPv9MUdxuOVFo8+DahnQ+1HZ3vbZVKKji6TixTb33nVPkFFq8i7s74die5SOUkugc7qi/RPZx2JGJyLlFGksvRblVUdzla3TvaEajJ6wi9vaO3e6lvpCzZIa/LLOnh6ny5e3vbSV2vuAhoKqbLgzqM6O9NAwa5jPLqEArYmv3BATlt5U+qOl9+EuHdWPlrRT0wBc6pGQZ5v31+EOA/bLqWH+REVQJvc3CkrxUHf1nu6dYqy/YBbvzA7cjucaq8m5eIfx//DionDXzJb27v4WpIhuzEN9Pt2of/aKi+Z/7PXrtodWo/cZISFwCifLzuXpzYaAFAg6CjAbk38G62vJ6aJjZHgz0/oYrH1OIR+MGfru2tDug41a84EZ4qv2BnFKdvhj8v9kt+oSH2Gf4ZaoZc/rsR+7XatWrHxLpydO/loPbdiBADT0VbSm+ThKP/r8fkIMt9nyBuWzdXoNsFks9RXN2g8MPUNrVBkhQ+Gcpz+9xkE168Jxpf/mac4v7qNsCOl4nc0ojn3uiuw5rfjGW5F+haei+5G1qsjXhjSy4GD3IFYO86WtvUhvrmdvz7+mM4cqYOOhcn5kbb1NqBZ9cetaMIptzE5CrH8yGRuyCxpQLdvEH8lpVcasmVcvmuQqQlKtn1yJ3yhXXHmJslucsSHTb/LKIXB4BhNhc9ntqY8jIvSzejua0DG7LKsGBCFJakxeOL346z41+anxqOxd+dxHOTTXjr/gTWPiv3WFhuD6LCfiglFJUX2jBvrJIfgqjXAdjxDy1LNzPXU6oHPlcI5Y5Y/kgSFkyIYuVpalVo0iHLdu7PFmujXdl7y1VMLpGrM0oY5Ti5M5oCDPAY6MK4qMhtme5btCmXcXjxbqs+Ht08W9T+y9LNyLDUKLm+bf8vXHfMrh7oOLmwUn7n+anhMAUY8OwXWfivHfmMV4nUp+SOTWU/XdOE5rYOlgOD5OL5vvhyiC6vfgYlLzb/XfHun/QMvl/z7qCO3HwpRwr1aZGjim8TR20m0m3z/Vh0n6V2pdwbl6MCFzmhRP4o0f23v3Bb2yB4vWxLeyf+46vjyDl3AXNHhyEp3Bvf51RgfmoENmaVwdNNh0Nn6rD2cCmSQpUUj5SaUtT5+hr0iA/2RFK4ETU2vfsecxX2FVRjYrQfyupaAAAHLDVIDjNixe5CvD4zDneafBHi7YZIH3dMiQvAxfZOLN9ViNdnxSEu0BP3p4RgvMmXZRpLCPFCdul5zBkVirK6FmaXWLG7ELGBBsgA09m2tHfCTeeCMKMrksKNTMdOVOSUGpPsKclhRuwxV+GB5BCEGV3x6jcnMCbCG7NHhcLbQ4/DxXUsXWhiiBeWbs3D11lnsfZwKUvtSRnH2ju6kDDYC2MiFV359txKPD1pCJLCjYwG/ZVpsZg9KpTVxwFLDdJGDgYAlNW1wNegZMmbOjwQrjpnlm9i0aw4PJAcwqjaE0O8cMBSg/njIzEu0hvrj5xlNqZgr4HIKKrFzIRglvp0Z54VD48Js9PrtrR3spSbiSFeiA3yRE7ZeTy/9hhOljfgtRnDMGdUKEx+HsguO4+nJw1B66VO/GSpwdrDpZg41M8uvSxvM6lubENZXYtdn0kM8UKItxvc9S5soiVqblOAoYdNivTQtU1teHbtUXjoXDAuygf/8dVxlkKWdO9Ew/55ZjG+OXYODyaHsJS1oyO8UWijtf5V0mCkjRyM5DAjSwHb1NqBE+UXEOnjjhPnLmDRzDgEDXJFZlEt7jT54oHkEMyID2L2k4/2FeGZSSaYKxtxyJZVcHSEN0vXy9tUgG77n+jbz+v3qezUR2nwFNPjUt3ytNs8JTZldKOJkzK/ifYssl2QrHy7kRxkL3GzZQ1007mwlMG8XYO3bdIxmujJbkLv4NuXf9dyFXsUL9fVQks52ge4613g465DXXM7vD30iAkw4Ie8ChwtO49hAZ74NvscUsKM+PlMLf7z/hGYkRCEpFAjFn93EvHBnpABPP73g5gWr+QBcNO5sAamAZLyS0yK9kNmUS0ifdyx4PMjOFZ6Hs9NNiHE2w0786xICTfimS+ysL+wGl8eLsXPlhpkl53Hg0mK4XjRllyWVpI6Rk1TG/aYqxATYGDc9T4eenx79BwOWGpg8vNAVmk9yzvx7dFzWHOoBJOiu/n7aRDfdOwcM1anjRyMi+2dzEDr7aHHmAhvlprUz6DH8GBPlm5ysJcrcs5dgCQBRjcdHr8jghlDx5t8YfLzwO/XZKHA2oR5Y8Ox8dhZnKlRcjhfbO9kk4GfQQ8ZYDIASg7jT/YXYUSwMunEBBjw0b4iPDU+ElPjAxEb5MlSx9JgExtoYDktfNx1bMJ8d0c+CqoakRrpg7/tKsTdsf7MMMsbJ+kDBsDyLq/YXYhFM+Mwd1w4MzIv2ZqH9o4uZJ6pxZcHS7E0LR6pUb4wuutYTu6kcGP3it9dhyVb87Bq72lMHxHE+gzlXAgw6PHbz44g43QNQga54oV1x3C4uA6jI7xZOls+b4GbzgVZxfVYfN9w1De344tMJQiQJl5aSEyO9ceMEUF40JangvKX7MqzIqu0Hm/Y7uFzr6eNHIxxtvznH+0rwkv3xsBV54zluwrx1PhIvLsjn+WjoJ0WBVlOjPbDtPggmPw8kBRuhI+7jjlJiDkY+IlAbXClv/nUpgDYIF7d2IZn1mRhsq1f8oZefrVN+T3oHionTdQkAy2QaFHFO3TwRm+ge4IXB3y+bDSxiUZyUTZxMuOdCdQmh2tJNwpoRuo+4VT5BXnk4nTZ9MfvmW6a9MC83prcGHk3VtHwqkYjwf+mv8mAJ+q0ySi+7Xg5y5tApHJkaOXtBlUNimtn8pvdOQzoHUT5QYZBOi7mcuCPJ9ncWHm6Ed7grGbwo3vFXBRiuX8urJaH/HGrPGP5Xrvy8jpl/n8x7kHUlZOc5AIrUmyIul7ejqFmtKf39EZjoRbrwcvOt+HsDw70iOvgebrUaDd42w5vN1mXWaIaCMjbCajNea4mR8ZMvg5FviU6z/dtalf+Pt6BQ7Rr8O9Rc/IQvw01edVsA2K98+69Q1/7vgc9zOWMuWr2MrV+IcrXF3sAL4fIhdab7YHudeSWrvaOqwU0I3Xf8HNhNZsUyABNCVfWZZbII9/czgZP3ghIH6M4kPUG0UtH7Hz8x0STAj/w8h2MvD3Ie0d8D09Rznv7iAMkDRJEGz7nwwM9vEgcGRbpN9Wf2nl+IhF5ofhBiJ9k+HpSG/RlWUl6M+dDJd5gxP/94bJxD/S/mqHw58JqOfnN7fLIxdvtYljUBgq1KG/eqC8OqlS/ae/tlxPfTLerS9FRgG87usf02vdy2nv7ezgj8PXPv5e/hv9brHd+wuTrl39W4uJ0u0Ge75+8IVltED1VfoEtXvjzYt8R20rsOzz4a/nz4kTlaEIScSWD7OUGdbFt+P4itsvlnqVmhL/c2HKl0CaIPoA+GFqdz/nwgB0dN30U/OqPzomrQHEHofYucdDmzxHoOHlAiR4s4sDdW9nEFQz/LNETiv/4+Wxm4uqU7iFqbqo3kpU6NL/K5wPwxAFN7ZwoHy+7LMvMvZRkEFfBfBnVVq18e/CTHF9GcVVL9U1yi5Hg9D5+98XXL03CfIS1WD5+MOAHcD5wTm1ArWroGYku9jsKRBTLTPQcfFvzXkjiDoeXXW0A58ugthPj/1ZrL74MjqKa+WvFZ6jJcb1cQ8WyinKJZRW/HUfX8/eJAYyybN9Prlc5+jpB3NY2iJb2TjhDwrbcCkyO8UdWST2W3h+PO02+SDX5YmyUD2KCPNHc1oFVe0/DXNmI5rYOmCsVT5UHkkOQGOLF8hPfExcIoFvfyP9uae9Eem4l5qdGIOfcBWQW1fYI2CFdrslf0d1OjPZjHiyLNuXCWZLw6jcnWJ5cMizz9/M5lWUAoyO8mT6f7BcUpEXG3RW7C5FVWo+X7o1BfXM7Xv46B//Mr8LqjGKMjfTGgdM1KKpuQmygp5KtreUSvjpaig1HziI1ygeFVU14fvJQ5il0d6w/Ymy2ALK90HteujcGAPDjKSsyTtfC2UnC6AhvhHi7IczoynI3UzCg3tkJwUZXlld64ABnLP+xAAa9C+aMCmX1xNsRKEc2GQ5FXTLVwW5zFe40+SImwICgQa44XFzHDLxhRlfMHhXK9NlldS1Ylm5GZ5eMuePC4al3wR++ykbmacXoDQDf51Qg59wFLJgQhXd35COzqBavTItlMgYYBuL5dUdxtKQeobayPjU+0s6WNTMhmOne3fUuGDjAGW+nm/HSvTG4yBlvAbCc3eOifHC4uA4LJkRhxe5CbDp2DiMGezGj7vBgT0yO8YfRXccMzOOifLA6owRPTxqCkxUNLEhyt7mKBV76GvTMyYJyUpfVtTADPB+IR/VKNoPluwoxLsrHzvmB2oJkF426fBCoqJcXg9noWlGXz8shBuCJEL9REWLAHn+fmjGc/9bJPuHrrse32ecwLT6QBWCqyUM2Ezq3L7+aBROSnU4MUNSM1JfBtUwQZNzalluBJffF23lnLEs32xmSfA16TIr2w92x/sgqrcdrM4YxDx6KDJ4WHwRA6fixgQZmoKLoXDedC7Zkl6Owugkz44OwYNIQ1qla2jtZgvgHk0KwOqOEeUnwEcmrM0rwqm3AIfn3FlQjwKBHc1sH5n96CPHBngj1doO5ooF5T42O8GaGUDLy7TZXsY8xwKBHSrgRId5ueDvdjOcmD8Xv7zJhWnwgksKNuCvGH7GBnlhzsASvzRiGh0eHYXyULwqtjZgzKhR3mnyxco+FRZwmhxmZB1XayMG4Jy4QbjoXfJ9TgTCjG2MN1bk4Yd7YcKzcY8GW7HJkldbjlWmxbIDIsNTg918cRcJgL+zJr8JXWWcxPT4QaSMHY7zJl02mvMdJWV0L5n96CFOHB9pFdVP0+ssbjyPAoGcT2NKtefgsoxh5FQ3Ms8rHXYdnvzyKGSOC2AB5wFKDV6bFImGwF7w99HhnuxlVDQo778yEYDYQZxbVYkpcAHblWbFoVhzz0HHXu6CzS8Z3xyvw0r0xWH/kLOanhmPV/iLcafLFyfIG9mzeYA4onlbDgzzZBEv1E2DQY+3hUjyQHIK0kYMRE+SJAIMeX2SWILvsPPYWVCM20KC4uRbVIrOoFgsmROGjfUUYF+WDmAAD4kMGsb7gZ9AjNtDAZKbI5abWDhwurkOAQY+nPjuMvPIG1k5q4J0fduZZkRxmtBvgwoyuzHlCjJgWJxweapOR2iBP3xTvLsoPqHSe/1Z5gy/fj2gxxo8boocUeZ/xkdUmfw+46Vyw/McCvD5TcQLgZecnH3HCoX6/8BdDEWx0xVvbzCzanjeQa0bqG6hiom2qmqFNLXGLmjqBVyPwx0X1DK8uochKPoMcr4/nZRKZUPktO6mg/rbdbJe2k+7nf/PqCr789JykN7czXbNakFJVQysLXOPVVHwaVr4+eBUTb/NIe28/43Ti6+7e/94jz1i+l6V55UHXUiQ0L7toL1C7jY9oAAAYhklEQVTjvxL1uSQDXw4yCPP3qxlYyVZCstN9fD3x96vZpXibFd+PqB34aHNeHlLXiaodNeI3NbUQr6ajvkZqJ1H1KD5fVJnwzxH7k1hWNdUUfQfXqlvn1Zlq6idezSkGtPLfhlgOMVBU7ZzacbEe+Xfw4PuRo/q7nN3iWlVN0GwQlwff8fmPSoysJp03r6MWjXQEfuDjdbj0PlmWWUSqmsGaH2BpglAbMH732RH5439aeuRUJg8aNe8UGrR4WckTiAYKkQaB5KZ64O8lQ7poU6EIYzL2k/xp7+1nxnDe3jHkj9/L8W/8YEexLkL8+MQENWI98sZtfpIiW4A4AYqDlfg8tQXFz4XVdtHv4iKDzvMeNqJ+XM0uI9Jl0H3UPry3kphwyJGuWs0ozEeXi/fTPWqODfw5R/YafrLh30nfDp9ZUfw++GdcbiBU8zzjFyokn3hezWGCf68oj9h+IsRrRdZc/hzfJx1BrX/2pT76ir5OELd1JHVtk+KXvHDdMSzdmoeFtiRBlDSFMCrSG//zsJIMBlCidwHYRUZXN7bBXNGApVvzsHRrHppaO9jfQPfWtLqxDel5lSyyOjbIk0Xc1ja1sSjRVfuLsGhWnJLchkvaU2vT/6YlBuNAUS0W/3I49hRUw2JthM7FCbOTQ6BzccJzk01MNgA4U90MSe4uU3WjEgmbV34Bq/afxso9FixLNzOZ+KhRAFgwIQqbj5ejurENGZYaLN2ahwHOTnjxnmi7uqKo6Oyy81h7uBTLHx7Jynju/EX8+o5IRiC4dGseIv3cER/siVWPj8LH80crUctc4hyKEueT17R3dGFDVhmWPzwSqSZflrTHYm1k9UhtyCeb8TPosWhWHN5/LIWRwgE9E8LQ+17eeNyubQDAFGBg15sCDIgOMLDANopGBpQAPqO7DoMHuWLlHgsWrjuGH3IqWCIZunblHgvSEoOVBFOPJMEUYEBzWweL4OcjbGODPPFQSiiKa5tR26RE2edXNsJibcQza7LwxuZctHd0sX7NtyFFRfMRy6YAA9o7ulBgVZ5BUeP8+5Y/PJJFylM9UOIrPoENRQmLEcgkS4alhn1nS++Px+dPjcX0hCC7+8TIZ7VkVDwoWnnhlKFMDooApzqm45SQh2SnNqa+wte1KA+f5EesW4JoU1g0K45FfYvXLb0/niVW4stC4CO0+XsA9SRQNxK3tQ2CdHsPJIdgdIQ39hVUY09BNUpqmhEb6InEsEHMfrD8xwJmhN6SXQ5JAibH+sOXo2bYcbISzk4SnptswuN3RGB0hDcLjqPAOTI4DfZyxeqMEmbQ4xlXycBKkZ5jo3wYxcMBSw2eGh+JT346g9ZLnXggOYSxkj6UEoql3+fBxVlCzrkLGB6sMImaKxrw7NqjeGVqLO6y6eLd9S6YGO2HYYGeOFXZiEWz4pA2cjBjPn3tmxMYHuzJbCzZZ5WgvZZ2hd7Da+AALL5vOEK83bAlu5zpqBeuz8ZL98bgXH0L3n4wgeleZQDT4gORavKFj7sORncdVu09jbtj/ZFX0YApcQHMMEr66w1HzuIfB4oxwhaZTfUwKdoPd5p84apzZsb6MRHezLHATeeC9NxK7CuoZo4EfIDU3bH+KKtrwbxPDmLEYC+Eershp+w8Czb0tdktxGhq6gs8w+7EaD8ASrS3j4ceO/OsiPRxx4rdhdhjroLOxQn3JQTjxLkL+Db7HJ6eNATBRle46VyQHGbErjwrvj56FkdK6pkda29BNV6bMYzZUEi/bfL3wKr9RXh9ZhxCvN0Q7uOOEYO9YHTX4eN9RfB212HxfcOZHGQELqtrwY6TlcgqqcfEaD+7iN5QoyvScyvx2LhwzEwIhpvOhQVzldW1IMTbjZXfx12Hd3fk4+uj5/BTYTXSRg5mBtnEEC/UNLXZGdF529Oh4jo0t3VA5+KEB5JDmP1CjVGV6pMiu8VoZwJviCa7wmvfnGDfWGZRLWszskGR8Zi+5cVbTuLpSUOQEm5EDDeY8/KU1bXggKWGtWtzWwfGRfmoGrDJ9nfAUsOM8nyktxr7LW+DoGDF+anhWLG70M6RxZGB+2qgGakvA75zET1GsNdA5FU0YH5qBN5KNyNkkDKI80Y1Grw7u2QcLq5jUbt6ZyecLG/AvLHh+CyzxM4AvGp/Ee6JDcDH+4uQWVSLh1JC8fqmE3htxjD2AbrqnFlkLRkLL7Z3ssHqrW1mPJgUglmJwXDVOePHU1bIskLXceB0DZrbOjBlWIDiYSVJgAwmHwB8lVWG+pZLbIAAlI9w1f4iNLR24OHRYahtUqiKf8itxKnKC7hnmELh/UByCCJ93PF/Nh5HfmUjvN10bEXjpnPB3oJqLJgQBVOAAVOHK5NAuLcbmxxogJuZEIycsvN4Yd0xJIUaUX6hFVPjA3GnzeBMRjdfG81EXkUDFs2MYwO/xdqIpz47jOzS8/hnfhU+2V+EhMFeeDvdjKzSegQY9PC2reaJspq8kshomBjihYs2T5rssvPIKqlHsNdArNpfhD/NGMZkJiqSi+2dWJZuRoBBj3d35KvSPj/7RRajVx8e7IX1R86yhYfJzwOvb85lUdYbssoY/TVN7o+NC8ekaD/WFynilwaXt7aZGX/Wt0fPYViQJz7ce5pFeA/2ckVFQyubHPhI8Jb2Try0QeFXcnaSMC0+iBlox5t84e2hx/QRQXY7tJ15VhhddXh+7THsK6hCVkk9o3BpbL2E0toWvHD3UOgHOLEIdlq88N5WnnoXJIYNwvBgT0yK9kNWaT2enjQEMuxpr8lgS3W6/mApXvk6B4GGgVidUcyo2Pl6B+x35S9vPI7kMCN+PGXFi/dEY+64cBhddYzOnYzw1A8AZXez46SykNhgo5LnDce1TW2QAbz2zQk8OjoMn/x0Bo+ODsPJ8gY2+fDX78uvxuqMErx0bwzuNPmivP4iXt+UqzgZ2BZb3x49h8k2ah++D9EEduRMHcZFedvR1RdaGzFwgLPd5OLIw6qv6OsEISnqqH9NjBo1Sj5y5Mg1P8dc0YD65nas2l/Ettj0/0Mpodh8vByTo/3w+cFi/O+vxwIAI9Fbtb8ICyZE4ekvsxDh7c4afdGsOKamqG9uR2l9C4b4erCBde4nmXj/0WSs2l+EptYOnK5pwhBfD5Z7eenWPBRYG/H5U2MRG+SJ9QdL8e7OfET4uLNcuc9NNrGcx4XVjRge5IXnJpvsykG7E6O7DkA3UR2Rl80bG45Fm3Px3qNJWLnHgua2Dlzq7EK+tQnxwZ4wuuvwzuxE7M6zYktOOXsnAMz/9BBWPzkGgKJ2IyJB/tyZ6mZsPl7OBjiqD6O7juWI5tU7/Pae7qltUtQCz6zJwqXOLrz9YAJ75/JHkmCxNqK0tgXLdpgxLNCTqeXofou1kdXzpc4ulNW1IMrPA7OTQ7Alp5y9m4gBgW5yN0BRaUkSMMDZyc4zifrO0q15uC8hGO9sN0OWgPcfTWaqL5KTlwnozqO9cH02Fv9yODYfL7cjcyOXZ6ob2kk8+nEmJACvTI1FYtggLNqUi+LaZqywqade3ngc78xOVPrgplykJQbjT5tP4P1Hk5kbMhHtUV9ZMCGKcVvx/WZytB+25JSzMpNqY/PRs9hxyoqi6mas+c1YxsVEk8yiTUpe99e35OLP98UjPa8S78xOZO8tsDbipXtisLewCpOG+mPxd7mYHOsPo5sOhVWNOFJyHnFBHiiuvQgXCbh7WAAOFNYgJcKI5FAj8iobEBfoiZV7ChHi7YoAz4HIKq5HSoQRPxfVYNBAPXw8BiC/ogkTY3zR1tGFu4b6Y8epSpTVXURD6yXI6IITJOhcXNDV1YUQb1cMclNyz9c1taG6qR0X2zsxMmwQDhWfh6feCU1tXfDQO8HfoMeshMFYnVGMybH+OFPThLK6VtQ0tyM2wA1n61vg5OSMi+1duNQlw20AMNDFGV2yjAutXRgZ6olCayMCPQeisbUDSlpyGU1tHWhV1i6QoOy6Cc4AnCTAy9UFHV1dON/ahRnxAfhg3ijVMe1ykCQpS5bly958208Q5ooGPLoqE7IkY6ifAbOTQ/DXXQVY/vBI/HVnAXPF/I9vstHU2oVlvxqBu+MC8PLG42hu68AAZ+X8nzafwF/SRmBUpDcs1sYerKkWayPTXwOKrt7oruvBqkp2AEJskCd+yKnA4u9O4rd3RuLOaD82aPKD4JEzdYj0c2fnYoM8kWGpQWltC/66qwCLfzkcaw6WAAAbVJ9fewzvPZoEQNGtP7MmCzoXJ0yO9sNgoxsi/RQ1wJnqZjy79ihemxaLPQXV0Lk44Z3ZiaxMANhkQ2ysRncd6pvbMf9/D2HpffF4eGwYgJ6slRmWGqSafNmkwOukLdZGrNxjwanKBvwlbQRe/TYH0f4GLL0/npUTAB77OBOXumRE+brj7QcT2IAFKIOVx0AXLJgQhZV7LLjU2YUHk0Lw9bGzKKputis//16ju44N7ED3IK/WXu0dXXYT1cNjw2CuaMDjfz+IwYNc8buJQzA9IaiHjtvPoMcPORXYfLwc81PDmV66urENz36RhT9Mie6hq/4hp0Ip1+ZcxAQasGhWHOqb29mEtHRrHuaNDWdtt9TGF/Xk+EgMchvAXIwvXGyH6wAXXOrsgtFdh4dSQhHp545l6WbWtiv3WFh/IWw+ehbv7MjH0AADnrvLxMpFbUd93eiuw68++AnxwYOYTYzaeXeeFa98e6IPX6eGy+GxMaH4ywMJV3yfNkH0ERmWGvz5+zz827gIAGCDaaSfOzMoPjk+EufqW2BtbMWCSYrxd/3BUmw8ehZT4wKwp6Aak6P9sCm7HPePVIzH0+IC8fWxs3gwKQRhPm74684CZtClVb+lqgn/+asRiPRzZ6vqM9XNWLmnEIPcdGxwmvtJJpJCvXCo+Dz8PXT48/0j2AC8bHs+RocPwtojpfBx08PfMBCXOrswa0QQ3vrBDN0AJ/xuQhQOl9TjbH0LBg5wxpN3RGLj0bOYnRyC9LxKlJ+/iCfviMT/HjiDuMGe+PZYOYI89XDTu8BD74LfTRyC/MoGxAR6YvmufMxJCUVTWwc2HCmDwXUA5iSHYOuJCtQ0taG1vRPtchdeuGso0pJDMO/jDECSEGIciChfDwBAgGEgBhvdcLS0Dl8eKsO7thVvfmUDxkb54OS5C7A2tuLLQ6WYOjwQR0vPIy7IgN2nrHg8NQK7zVUAgAsXO/CrpGCcO38Re/KtGDF4EP4wJQYHi2qRnlsJa1MrWts7MSLEC3+YEoOtOeXYW1ANZycJ98YF2BhunfHZz8UYHeWNcG93/GSpQWndRfh76DBQ54zhwZ4YPMgVO09VYd6YMHz80xkMHOCEupZ2yF1diAv2wlB/A0rqmpFTdh5NbV2IDnCDr2Egwr3dsfZQGXTOgCnAA2He7sg8XYvpI4Jw8VInqhpbcbS0HtOGByHjdC1Sh/ggp6wedc3tqLvYCScAgZ46BHgNxMmzDZgQ44vd5hq464AIXw9bnEwHCiqaMDzEE+fqW1HT1I4uKCtQvbOyCpW7gHbbZz5ooBNaL3WxlaqLbanaCUDnBLTZ+2dgoDPQ2QnodRKa2tXHCnqXkxPQfgnouKYvUsOVwBnA6bdnXvF92gTRB0S8+v11lEaDBg0a+g9XOzkAfZ8grj5W+wZBkqRpAP4HSvk/kWX57RvxHm1y0KDh5qP4Kgc4Df2DWyoOQpIkZwDvA5gOIA7Ao5Ikxd2Id304N/lGPFaDBg19hDY53Pq41XYQYwBYZFkuAgBJktYBSAOQd71fND0hCB8imenWf7JUw89Dj5hAT5yrb8FgoxsaLl6Cp+sADHIbAAB2nkC8gZb+JuMwoNg2eKO0uaKhR+pIAD3+5zOKiRCvvd640c/XoEHDvxZutQliMIAy7v+zAMbyF0iStAAABT80SZKUfwXP9wVQc00S3hjcqnIBt65smlxXjltVNk2uK8e1yhbel4tutQlCUjlmZ0WXZXkVgMuzEKo9XJKO9MUw09+4VeUCbl3ZNLmuHLeqbJpcV47+ku2WskFA2TGEcv+HACh3cK0GDRo0aLiBuNUmiMMAhkqSFClJkg7AIwC23GSZNGjQoOG2xC2lYpJluUOSpOcAbIfi5vqpLMsnr+Mrrko11Q+4VeUCbl3ZNLmuHLeqbJpcV45+ke1fOlBOgwYNGjTcONxqKiYNGjRo0HCLQJsgNGjQoEGDKm6LCUKSpGmSJOVLkmSRJOnVfn53qCRJeyRJOiVJ0klJkv7ddnyxJEnnJEnKtv3M4O75o03WfEmSpt5g+YolSTphk+GI7Zi3JEk7JUkqtP02ctffcNkkSYrh6iVbkqQGSZIW3qw6kyTpU0mSqiRJyuWOXXEdSZKUYqtriyRJKyRJUnPrvla5/kuSJLMkSTmSJH0rSdIg2/EISZIucnX3//pZrituu+stVy+yrefkKpYkKdt2vD/rzNE4cXP7WV/ykv4r/8DGaQUgCoAOwHEAcf34/iAAyba/DQAKoNCILAbwksr1cTYZ9QAibbI730D5igH4CsfeAfCq7e9XASy7GbJx7VcJJbDnptQZgIkAkgHkXksdATgEIBVKvM8PAKbfALnuBeBi+3sZJ1cEf53wnP6Q64rb7nrL5Ug24fx/A3jjJtSZo3Hipvaz22EHweg7ZFluB0D0Hf0CWZYrZFk+avu7EcApKBHjjpAGYJ0sy22yLJ8BYIFShv5EGoDVtr9XA7j/Jsr2CwCnZVku6eWaGyqXLMv7ANSpvLPPdSRJUhAAT1mWM2TlK/6Mu+e6ySXL8g5ZlolxOxNKLJFD9JdcvaDf6utystlW2g8BWNvbM25QnTkaJ25qP7sdJgg1+o7eBugbBkmSIgAkAThoO/ScTRXwKbd17G95ZQA7JEnKkhQaEwAIkGW5AlA6LgD/myQboMTC8B/srVBnwJXX0WDb3/0p45NQVpCESEmSjkmStFeSpAm2Y/0p15W03c2orwkArLIsF3LH+r3OhHHipvaz22GCuCx9R78IIUkeAL4GsFCW5QYAHwIYAmAkgAooW1ug/+UdL8tyMhQG3WclSZrYy7X9KpukBEveB+Ar26Fbpc56gyNZ+rvu/gQld88XtkMVAMJkWU4C8CKALyVJ8uxHua607W5Gmz4K+8VIv9eZyjjh8FIHMlxX2W6HCeKm03dIkjQASqN/IcvyNwAgy7JVluVOWZa7AHyMbpVIv8ory3K57XcVgG9tclhtW1XaTlfdDNmgTFpHZVm22mS8JerMhiuto7OwV/fcMBklSZoPYBaAx2xqBthUEbW2v7Og6Kyj+0uuq2i7fqsvAJAkyQXAAwDWczL3a52pjRO4yf3sdpggbip9h02v+XcAp2RZ/it3PIi77FcAyKtiC4BHJEnSS5IUCWAoFKPTjZDNXZIkA/0NxcCZa5Nhvu2y+QA297dsNtit6G6FOuNwRXVkUw80SpI0ztYn/o2757pBUhJuvQLgPlmWW7jjfpKSbwWSJEXZ5CrqR7muqO36Sy4OUwCYZVlm6pn+rDNH4wRudj+7Fsv7v8oPgBlQvAJOA/hTP7/7TihbvBwA2bafGQA+B3DCdnwLgCDunj/ZZM3HdfDc6EW2KCieEMcBnKS6AeAD4EcAhbbf3jdBNjcAtQC8uGM3pc6gTFIVAC5BWaE9dTV1BGAUlIHxNICVsDEZXGe5LFB009TX/p/t2gdtbXwcwFEAv+xnua647a63XI5ksx3/B4DfC9f2Z505Giduaj/TqDY0aNCgQYMqbgcVkwYNGjRouApoE4QGDRo0aFCFNkFo0KBBgwZVaBOEBg0aNGhQhTZBaNCgQYMGVWgThAYN1wmSJH0iSVLczZZDg4brBc3NVYMGDRo0qELbQWjQcBWwRaF/L0nScUmSciVJeliSpH9KkjRKkqT7pO4cAvmSJJ2x3ZNiI33LkiRpuxBdrEHDLQdtgtCg4eowDUC5LMuJsizHA0inE7Isb5FleaQsyyOhROG+a+PZeQ/AbFmWUwB8CuAvN0NwDRr6CpebLYAGDf+iOAFl4F8GYKssy/vFxF2SJL0M4KIsy+9LkhQPIB7ATtt1zlAoHzRouGWhTRAaNFwFZFkukCQpBQpfzluSJO3gz0uS9AsAc6BkMAMUGuaTsiyn9q+kGjRcPTQVkwYNVwFJkoIBtMiyvAbAu1DSWNK5cAAfAHhIluWLtsP5APwkSUq1XTNAkqTh/Sy2Bg1XBG0HoUHD1WEEgP+SJKkLCjPo01AmCgB4AgoL57c2dVK5LMszJEmaDWCFJEleUL695VDYQjVouCWhublq0KBBgwZVaComDRo0aNCgCm2C0KBBgwYNqtAmCA0aNGjQoAptgtCgQYMGDarQJggNGjRo0KAKbYLQoEGDBg2q0CYIDRo0aNCgiv8PJDecQA43pF8AAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Do not display outsiders on plot, reduce point size\n", "df.plot(x='size', y='rtt', kind='scatter', ylim=(0, 100), s=.1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We \"zoom\" over the discontinuity ($S \\approx 1480$)." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "df.plot(x='size', y='rtt', kind='scatter', xlim=(1470,1490), ylim=(0,100), xticks=range(1470,1490, 2))" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "split = 1481\n", "df1 = df[df['size'] < split]\n", "df2 = df[df['size'] >= split]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can now compute the linear regression over the two domains to find $L$ and $C$ with the following model:\n", "\n", "$T(S) = L + \\frac{S}{C}$\n", "\n", "(in this notebook, $T = \\text{rtt}$ and $S = \\text{size}$)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "L = 3.2756741993939427, C = 3064.5146168986485\n", "L = 5.289832573707122, C = 387.76039978488734\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "def linear_regression(df):\n", " X = df['size']\n", " X = sm.add_constant(X)\n", " model = sm.OLS(df['rtt'], X).fit()\n", "\n", " L = model.params['const']\n", " C = 1 / model.params['size']\n", " print('L = {}, C = {}'.format(L, C))\n", " \n", " S = df['size']\n", " plt.scatter(S, df['rtt'], label='data', s=.1, c='b')\n", " plt.scatter(S, L+S/C, label='regression', s=1, c='r')\n", "\n", "plt.ylim(0, 12)\n", "plt.xlabel('size (bytes)')\n", "plt.ylabel('rtt (ms)')\n", " \n", "linear_regression(df1)\n", "linear_regression(df2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It seems that our model is deeply impacted by random noise.\n", "\n", "We now change our regression model to **Quantile regression**, using lowest 10%." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/conda/lib/python3.6/site-packages/scipy/stats/stats.py:1713: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n", " return np.add.reduce(sorted[indexer] * weights, axis=axis) / sumval\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "L = 1.06406439909992, C = 4246.666107740117\n", "L = 1.76962443179832, C = 4049.957445584297\n" ] }, { "data": { "image/png": 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glcTMpDIZp6FwPWY8UluYmCCCn8k45jY1RX0tLrq5cP9yzmNjhZpROk0Miu8H111aIjNUtWsVGoopANgK4N8B9HrH9wN4BMDtAL4F4MWl+qp1Qry1ChnpEAchqeX9qkaiLXa+HKK7nt6PoPtQ7ntRjfbAx+WaAo62SaXc+gF+Z1laZ8lYmlFGRuiTfQ3SH8H1fcLNNnseK5MhSZznItcNcKQQ1+MIot273XGZCnt62trt253GMTFBxJ6ZXDrt5sbawvS0tfPz1hpDjGN8nBjJ4iLNU5qdurut7e21dsMGOl4NGoYpAOgBcAuAswPO9QLoyX0/COAnIX1cAOAQgEOjo6PV3Rlb+KdYj2aTUtdXSR+1ctCWY78OS5Zn7epFUOWYZ4IWUK1VhF13uQwhjvshTSwsNUupnu3yQ0OFoZgdHY6gp1JUb2qqkClkMhQayn2xwziVIkLb0+OYwL59RGjZhs9mnXSaTDVTU1SH3y824bBEz5L8zAwxAGOor8lJ93tpifoYGiKGMjBAzKOvz9quLmtbW63dupXmBdA1ys/RUWtPOIG+t7e749WYkBqCKQBoBXAjgHdHrP8zAIPF6sSpKQQRT/8PsFYJQ9ymp0bTFNjOG8bUw3L1Rx17rT73INTKDBmlDybaTHBlWgc2q7CjVa7mZTs75x3KZEhyZjNTKkUEV/oM9u4lYs6RS0tLVG/TJiLG4+PEECYmyPYv00zs3evMN7wegbUJ1nh47UBnp9MwpqeJMbBmwFJ/Xx9J+6OjxCDm56nN5KS1555r7a5dNMexMWIYAJWNG4nJAMTo1rT5CIAB8HkAHytSZzMAk/u+N2diMsX6jdunECQJK4NYGygl9SsaBysrROjZbMSEfmbGhZ5Ks480J/HvqSki4AMDZFYBiNimUtRvd3cw4WazUGsrlYUFstH39ZH03tREffX00BhjY9a2tJBEz5L8+DhpE2xq4sR2Cwt0fmCAmM6uXaSFTEzQfDiaKJVyfW3eTJ/NzU4D4CIZAkDaj/ydSlX+DBqBKUwBsADuECGnBwFcCODCXJ135cJVbwdwM4AzSvVb64R4xcwPa4Hw1NL0o6gP1sqzlZoC5xNiZ60fIcQaA69nYDt+Ou1MTxMThU5a1iKYAaXTRKxZS9i9mz6np52GMDDgzDh79xLRbWuzdssWItBjY9Qmk3EMRq45mJoiBjM3R/WNISazdStpEOxfYFPTSSe5MNSFBWozP08mIoD6Aqif7m6qz4ykp2eNh6QmVeq5n0LUSItGw1qYo6IyrKX3UEbVsETP9n/p8J2ddXZ8Di/NZp0jln0FbO5hxpFKETHPZongsz9hYYEIfXc3aSQDAyT5Ly3R58AAzWlpie4jm3zm54mAj4wQQW5qIs1iYMCFiO7bZ+1ZZ9G5M88k7aKjw5l8urqo38VF0gy6u+n7li3U1/i40zZ8DWHLFvo0hjSXzZvXuPkoqVLv/RTWmqawXqD3OhyNdG+KOf6Hhshk09tbuNCLGQJHGHH00eSkk7IXF23e5MKRO2NjRCgXFohQs+nljDPos7ub7PgHDlCd5mZiFGNjRMSZSHPED0CSuTEkube0EMOSxLq5mRhFby+1ZeLPxZhChiDPsZmqpaWQ+PsMoVipJgIpKlPQ3EeIngnVz+tS68ypxyqO9YyxpdAo72Gx57RrF/D3fw9cdRVlNr34YsojNDMDvOc9wO/+LjA1BVxwAfDWtwJnnw18/euUD+iKKyhr6eIi9XHPPdRfVxflQ/rYx4AnnwRe+EKgpQV47jmguxsYGaFMpe99L/Dd71IuoQceAB56COjspHxKL3oRzeXtbwdOOMGR36eeooyql10GtLbSNYyMAK9+NfDII8ATT1C9jg7qh9HXR/NqbaU6GzcWngPoXHs7zdVa+i7rdXXRZ0tL8H1MHFE4RyOVpBevlQrjrIdUVs58qrE5RkW5GlUl7eNos14Q17WHhaWW8qdVM4Y8LheYSX8Bm3ump8kWD5CEz34DXgjGPoTxcfrd1ETHWJofHCQ7/uIiSenGUFhnOk2mmtFROt/Z6fwIQ0PUdv9+mw8JNYaifs48k7SKjg7SQjZsWK05tLWRtsJaQHc3tWVtoLXVaQzNzW4tA2sz5ZalpfKfCQNqPiofHPseFupYDxQzbfnn5CYe9ZhPlDrl2sAb5TnUC3H5DIIi6YqtyYjbV8FMgcNJOzpczH0m45yvu3YRVRobo8Jx+kwUR0YcseUwTSa4XKe9vdCs45t4ipVidZnwV1vKmY9fFhYqfwbKFCIgjGg1GiEqR+pm22yS1xB230rViXLOr1fLRXPys5GwFjSFUnVXVkjC53xCMqJnYoIk+dZWitnv6iJpv6+PmEdPDzld29uDbfysFXD0T1sbHTfG2lNPdXV7e0mCb24uZCK8mIx/d3c7x25nZ+F4vp8gjOD39QWf37SpcobQ1KTRR4kyhXpFbdSSwNUKSd7LWvRZSmpWFEeU55/JEKHdvp2YQEtLoeTd3V1I8Ds7nSO3rY0YQilJPeh8NVJ5I5b5+cqfU1SmcMw6muuxzWatHKaVXFO1c4rrXvrzKKfPKNcQ9Az4XZBbQSqiI+p/yVraQObJJ4ETTwR6eoAtW4Dt24Hjj6ctLjs6yMH7zDPkhLaWNq956ing+eeBpiagv58+mzzq1dwcPCaDHbfsyG1UsGM7CKefnvz4xyxTAGr/56/Xfs8MJoRBu2JVyqx4f13eLara+Z1/fuU7qvE1FGsf9gz4d7FnE9RvI0ZE1WNOpd7p/ftp17NXvpKijn72MyLO999P3++9l5hFRwcxgakp2vmsu7uwn64u4D//kxjJ888XnnvmGWoPEIM45RR3zhgXJfTEE1VcaA3wzDPh53784xpMIIo60UhlLaTObkTzQxTHYqV9xuXHYEd/pf0EpSyJC2Er2hvN3NSIc7KWnMqlTD+c/kFLeKmFo5nzDq0Z7Nmzxx46dKje0wgFS6yNaIY4fJjmFOc6C9lnnP3Vu4+o/SY1VjVoxDktLwN795I2ADgz0WOP0ZqBJ5+kPY3vuYfOt7eTyciYQhPQWkVzM62fqBapFPC2t1XW1hhzi7V2T6l6x7T5KAnU20RUDHJOYeaiUqaHMJt/XNfbiPeNEdfcwu5xXGafRr2HbBZpaqIFbI89Rr+ZUTBDAIghAPVlCMbE11elDMH3mzz6aPVzKTlm8kMce2jUPyUjjHGV8i2shZXFcc4xCoMsd6ywNmvh3laDa64Bnn2Wvvu+gEZFrRnSURg855Vnni/8/QfvjpFThUDNR4oClDI9NKJpwkdcJqgoZsBKxgprU828y2mbVN1iuOkm4Dd+I3r9UmajlhbHZMoF993WRk7tpNHWBjz0dDv6UXqwUlL68wCaKqTZaj5SVIRSBKDRGQIQzxyjmgGlj6acvss5XgocAVZpSG4cdUvhc58rr34pulcpQ5B9x8kQgqR8Lk8+bdCPp9EElCwAEf6wUovAKWUKNUajmQcabT6NhChEut5mn8OHKcnc4mK0+Zbj84rTP3bSSdX3US8UI/hculA9wedyB7ZjoNeiGYXl8gWLnhpYdpQpxIRaS15xICy2v1HmF4Qk5hb3wr3l5er6Kwdy4V3U6wgj8kHt49IMq83uyQvTii3sKoW2tuDjpYh+FIIfleg/AeCieYvONkfsuzss+jdY9HZbnDZuMTvyEzz+OF3zwgKwtASMjQG33lqb/6YyBVR/o6MS+0aLTOL5ABTmxsyhkRiXRBJzq6ZPbiuxvAyceWbtGUO196aYAzxK21Ko9n5w9E6xhV1BOOqZcZKW8lfQWyDdnz9n0dFKhL+n06K/2eLqq8l0xSuzn36aru+ppygq6xe/AHbsoMV3N98MfOMblHa7Fv4PALp4rdLFPpUu/mq0RUXW0pxkZthGmmMci+xK9VvNdQe1qUX68iDEsXjQ/11NRlwfcS9Oa2qy9ihgnytRonRWqo/nAHsUsP39Lp+SMZSvqauLsrdOTbl9mkdHKcvr1JS1O3dS4r9MhhbxcTru8XFXeB/nmRnaXCiTobacWZY3G9Kd12rAFKytjCFUykhqvdp0rTKrRlydnPQ9arRnYG31e2cwstnCzKRRShSCHxfRPwpYgJLv9fS4rTVlltTBQUrkx6m8jaHkfkzUs1lakc/ZX2dm6FxzM2Vo5T2gd++mvZgHBuj7wAAxArkPNQtqnC0gm63+/VCmkDCqScVQKzRqyoNSkPOOY+5RUn2HHQuaUxJYq8/KR9j85+YK6fQPsb1mBF8SfVlkBlW5RabM1uqn6h4eLmRuCwvUdtMmt/f05CQxDskY+vqI2bS0EBPgPaazWdpEiPes5r0mMpn4NXdlCmsMceS0D6q/VolMXEw3DmJbK7PaWn1WjGL3Okjqj6oyRCX4TU0kzff2EmGVm/MMDZH039RE0v/cHBHxpSX6zfskbNlCRH3HDjLzTE8T4U+laOe1yUlqt7BAUj4T9XSatASW6Flz4N+ZjKuXyRTm+FpZKTQ5JrVJVlSmoI7mBkBcq1zD0kKvRVSa/jssLXY1i8K4z6TvZTX912IFdykMDwMXXRR8HUHOXCCa8/ZRtOYdt61NFJrJUTvtLRbHdVp0d1N00ZEj5IxubQWOO47GaG+nFN2HDpHzdvt24AtfAD70IeCrX6XMq3NzVPeSS6ifRx5xzt3PfhbYtg244QZK9w0AH/841RsaAq6/Hnj5y2lR3NAQnb/mGlqsd8kl9HvnTmDDBqq3c+fqFBpXXeXu//79lT+DWBCFczRSUU2h+Lm1Lm1Wi7g0rrja1gJxaUPV9sHbwQY52sP8A0cB29pKUvzoKEn3/f1udzS5oxpAkv3KirX79jmpm0s263Z0Y3PMwoKT0KWJpr/fmWh4v2je/5gld/6cnnZaAAdkSPOOvIfyu+8HCPse9DsJQM1H6xvrxQZdCzSCE7kU4o4cKtVnpQJFqTphkVcrK2R66eoiG/vwsLUnnkgUaHTU7bJ27rkUpZRK0Zac/f30uWUL1eV9nTkFPDt3p6fdd0mQZ2ddFA+bZVZWXCRPlPTv0rdV7/ekGihTaADU2ga9ll/YSlDO9dbbiVzqfNzjF+sz7ui5qMxk1y6iOLwfckcHleZmsut3dtK5xUUi0q2txCx6e53mwExBEupMhphMJuMieGTETjZLjCEs7Ho9EPwoUKZQZ8T1R48i0cUVvlmu6aWef6KVleo25PERZW1B1LHKDXUtp+9yUOzdqTSAoRpH/soKmXOyWSL8S0tE+OfmyBG8tEQhnkzgJyacaSiVIq2BTUD+mPz8JKOQEWzMLI5lKFNoAMTBEErF08vfSdiUyz0edaxK5yi/S8mvGkS5lrAd66L0VS/mGdczK9Uuan9+uOXBg86UlEo56Z4LMwd5PApT4/lKJrDetYAoUKZQI9TaRBR0LK451EJTiJMwxW1uKTV2VEmz1gSoHBNRHAy5GshwSxZkfCmfwcejMmQJZQKrEZUpJLafgjFmC4DPA9gMiiz7tLX2f3h1DID/AeAgKFfUnLX21mL9NtJ+CkluvbkW9i2oFJVeWz3vSaM+j2Lv4PJyYSK6Wl9DnOP516IoH42wn8KzAP7IWrsTwD4A7zTGnOLVeRWAHblyAYBrEpxP7EgqwV1cid8aMakdUPn9qidRbkSGABTfRU/Gvlf6TsWdYK/SvuS1KJJFYkzBWvsQS/3W2qMA7gJwglftLACfz2k3NwPoN8Ycn9SckkCcxIJf+jiYTSUL3xSNiVJ7aQe9J/47VMk7VQ1hj1NgarTswusdNVnRbIzZCmA3gO97p04AcL/4/QBWMw4YYy4wxhwyxhx6+OGHk5pmXVHpfr9hx+UfKYm9hiuZ17GESlNOR1nVzsdkOupi7wKjXKI6PBx9856k0QhzOGYQxfFQTQHQA+AWAGcHnPsGgCnx+x8BnF6sv0ZzNMeJoIiiYnWjRAXVOiQyrmioRkYp53+lz68c57B0vob1NTtbXdhutRFmuriysYBGiD4C0ArgRgDvDjn/1wDeIH7fDeD4Yn2uZaZQSfREKcIS5Xhc8dnlxOnXO2Q1KUQl5lHj9qMci9I+jHFUuh6hkvkE9aVMoXFQd6YAwICijz5WpM4sgG/l6u4D8INS/TYaU4hKmCsJEYxD2opLYotQcqu0AAAgAElEQVQSlhkHQal0/UFcsfRR2lRDzMPuUdzEs5LnzmsH4gxjVW2hcdAITGEKgAVwB4DbcuUggAsBXGgd4/gkgPsAZAHsKdVvIzGFqCYceTxKvWJtKqlXLVNhFIsXj5P5VGryKEbEy13MlARBCzPt+aaguBCmKRS7Tz5DrkQL8t8ZRWOg7kwhqdJITMHa4gnAoiAOIhCXRhGl32KSbRDTS8J8VIl0HcUGX6r/as09xfqManIr5706cCAakffbFbvuKO1l3iHVFBoHyhRqgEZ66ashJMWuo1KtgKXOOM0RcuxqV7mGEbpytL84n38URhd1PL6OsHw/5Y5R7vML0nwa4T9yrEOZQo3Q6C97OYSk3H5LtQ2TOqvNWVSOtlJJn8Wup5y5lDN2OUnlip3zGVyl86lkbrJtUsxTUTmiMgXdea1K1CJ+uljMe6l4+FILf+SCubDzpcYPW+MwPBzcr60ys4pckBVlLnJVrx/vL/vk9uXOpdp1HuUuzgpb38BzD1vhXKovvj+ybTlzW15evX5ieVkXn605ROEcjVTi1BSSkFziNJVw+6Scu1Hsw0EmIL9dtXb1OOHPSZqbDh50JpViZqKwfqNGNyV1P4qZ5Kxd7UiXewYHmYSkiYnrR9Higu4Zj8F7Ghw8SN9HRpLbc1hRHqDmo+JIQqUNIpZJ7akQ5Vy1ffP5IILXyKYA398gP6PYuysxH8nfQaG7pZhNqTUFQeYt/7t/zTMzhdtHBo05PU0b0HBfpcxn0vzH91MyFq7H1y9TXyvqC2UKERCHDdf/HiZF1XpuSYClyXLGrbRutdpP1PUU1TDysLpBTKlYn1K6jqoR8rPgbSX96+LfvA+Bv3cyv5fT07TBjUxfXczRzhoXM4OZGbfdZdj1VhIUoIgfyhQiohTRj2K6idvEE5WwxR35EqVeOTtYVUpgq722cplLVE0hStuwOcSlKcjfck/ioHEkMeZtLIP6LaXV+P37v+U8ytW+FLWDMoUIiEJ8op4rZ6VvFJRaKFZpv34/5RLgcqW+chhImFkkKoIIcZjvIw6GU6qOnEMxwhuVscjvfF1yM3rpE2BCnckU7mJWjFkFMa9yhB9pSgq7F4r6QZlCRMQlaSehHhfTPKq10fp/9nLmUY5mUe4WlpVqDL7E7V+bv5l7JY7yKFK9rMNjFDMnFZPKw9rzed8sJCX52VkyDbGpZ3qaTDxSoufffD1hJqywleD+95kZN6bPEKM6sRXJQZlCjVHLlz0uG205xDZOybrUsSANLMr4PiGW/XFkjCTGlWpK0oEbhCiaSZgm4/+Wcw8ao9iK+iDtixkAE3HpCA7S0MIYmD/XbJZWUPsMU55XhlBfKFOoI2rx8pcj3dZqrKD6pYhJqX6kpFmMyPrjlUrPwZJxmLQedg0rK066Dhu/2ByjjiVNPWyW8Ql1KZNlECNh57R0GDMz5fo+c2UTlH+/JMM+cCDc6a2O5saAMoUYUMlLHOUPWytUK+VXO2aYSaKUhO0fkwS8WNx9qb7882EpOKSpI+gais1fXnup9R3ymCSw09PWtrVZu3dveF9hJiXZR3v7asaQybi+ZB9yTQHPJ5u1dtMmKmx+kgxEmomkL8G/D43yfzjWoUyhBKIQjUoXKyUlGVXKpCqpW40mEmS2iNJPWCikNH2wDZ1LWNsozzesvj9/aVoJyyXkm7l8RsbwzTR8TBLVbNbaVKrwWNACMNmHvx5Aagq+hiE1An8e/jUfOOC0Fj6WyRCDkJoBPw9ZT/arTKH+UKZQBFEl6GImgigJ1OJE0ip4qWsKI/5Rk8eF9RF2nomLL6UzwZmZoYiaIJ9DFIYeZR0Bm1hYQvbHDJpLEDFkRsaMwje1sD1emnVmZymMlIl4kENZ3qeREVdfng8zDaXThfPy5y2Zr9RWmBmw/4DnMDNDGsXkZGGkE2stmzYpY6g3YmMKAE4EcCmArwP4VwDfBXA1aIOcpiiDxFlqpSmUCgmtRKquFLVSwf1Vqf74QddZytHp9xHlGpgABa2UlXUqCfMMOx/G2NhMIqVgax3hlFK078iWZhjuUzI7aQrjBWxcJ50OH5ejhuR4PqOSc5cMgOswY2BGJU1Ksh8/zFVqbhKsPWQyhYvxOPJJmUL9EQtTAPBZAN8G8IcAzgCwHcAuAGcD+ASAfwbwiigDxVWS9inwC+8TJHm+3LUNcTCNICm2mvZB5pJSq2pLEfpSjKQcbcc3Q5RiKlG1P1m/2HGfQAZF6Ei7elCeH7+dH60j2/rml8FBIqaS2DJDCIsakmMw42GNRI5hrWM6sq3UEBiplGvna2zyPp19NtVlDUKOlc2GL55T1A5xMYVdJc63AdgeZaC4SpJMQRIelnLKNYNENU2U6qcYgv68UeZUzBEYJgHKPoKYhiR8pSJ+Ss2Tz4cxKRkBE9RfOQwhSioH38TDx/xYfzb/+PmFuF1YSCebiIaGrN24kUwvLIww4Z+ZsXZgwDl7JdHlPicmCrUKhqzH5p2hIWuXlqzdvJnGC2J0PL9UytqmJuqf1yBIkxjPj7WRjRtprpz2Qprd+vtVU6g3EvMpABgA8JJy28VV4mYKYSaIIIJWCmFtwxhCJekvGD5DKNWXT7Tlnz8KoQ6r60vU/jmf6cj+ZNgln+fdwnxixd8lQZYMyb/WIE3IrxNWN0gylpqLHJ/NOJs3hzNdOT9539m0wiYXJq4s2fP8+Dz3l8mQJpHJEOE2xtrFxcJ74ftjuF0qRTb/+XmXDG9ykj7Z7JNOu7UYqRQdT6etHR8vTLDHzyOdpt8TE4XmNGYKqRRRGtUW6otYmQKAmwD0AtgI4N8B3AJgKUrbuEucTCFI4vZRqfQZ9Dto/KjjFpNuo87TNxNIm3SxNsU0HWk7Drt+JrJSo0inKWSSpU8+Nzu7el5B2oxMz+ybZTZvJuYSpnFwf5kMEUhfI/CdrEEE1l8NHMYQ5ZaYmYy1HR1EJOU9YAaQyZCkPT5OUj0TadkHj93fT4R8dpYkf9+HIE1O3I4l+LExYiS7dhFDGBigMjnpfjOzYlNWby9Ri6WlwueRyZD20d9vbWtrIVOQzvNUqvT7qUgWcTOFH+Y+fx/AYu77HVHaxl2S1hQYvpQbBcUIdlh8epj0HcVsVcn8fMdkVGZS7FwQYwoi4EGmiiDNJewzTPr36wRpGWHagyT+DP7NNnlmPrI/f+FXkCmP+5D9M0PgY9LklMlY29Ji7YYNRJildiD7l1K4r71MT1vb10ft9+4tnP/mzaRRrKy4z5UVpw0cPEjfBwacf4DnmM1SG6nNSEbKfgPWfiRzCtorWlF7xM0UsgCOzzmdX2rXEVMIQimCXYpIRj1ejPEEEbew9rJ/n4CUYiyVzD3M5CZ/+6aMsGv1bdQ+gffz//jMQzI3Jj7cT9AGMrI+1w3LyyMJchBT5z7SaWdq4bGklM7aDIeMSqYjr2NlhbQENvNIGz4TaOnE9X0fKys0xsAASfQyGoiJelOTtQsLTkNhbSWVcmN2dlq7c6djTFKrGh8njSCdLkxrkU6TljExQVpOKkXjs2lJ/Qn1R9xM4RwAdwC4Ovd7G4B0lLZxl1qtaA4j4r4ZIeh8ueaooGPZLP0JZYIx/3xQ+OPMDKn7/GcNY25Bc4ia48aPbw8imGEOaJ8hsC2eCatvipJjcGjl0pKTankvAL73qZRjMH5yNj+O32cixe5N2HNjhyqbZFIpIowDAzQ3OWfJ+Jh58L0aGaG2LS1Ut6+PvktCm07Ts2XzDjMf1hpmZ8lExKal6Wlr9+2jtmweGhsjDWJiwt3z8XEyD7W2Wrt1K1EFY6zt6XHSP88znab+l5bo+qamqH1Li7XNzaTlTEzQOKyxDAzQMdUU6gtdvFYEkthErR/UNogY+guT/H7KiUQK0xSCmI8k2tPT4RJ3qesMYg5BDCmsnmRQpUxUfL+YoIW1kWOkUpQCgu3uAwOFGglLtTKCh8/5IaNSig+7Vkm85fXL83zP2dE6OEjEWPoKOGTTZ3iyz3SaiOv27c63kEq5RWE8X99fIHdOy2SoLp9nM87kJM1xcpL6272bGLI0+UxO0u+xMSq9vVSXndGsVe3c6aKYlpZorgsLdP379tExY6iPxUXyXbC/QVE/xK0pnARgCcBXAdzAJUrbuEu1TEES7lK7iPmmgyimGCZGxYiMf9yPdPHHD5pXMW3FZ0rFGGA5JhNrV8fhyzZBMfJBJiFuKxksh3RKh2oQ0c5miUgxA5GSt7XO3n3wYKE0zX3J+8pETl6HH9rpP89UiogpO1y5juxHStfcL2s1/kpgngv3sbhI5py5OSKw09Mk2TND4euQ18YaSTrttBQm8HztTKzZNMVz4mtjAj87S23Hx4moz89TP83NdN/TaXKWb9lCny0tREU6O6n+5CT1s3UrleZm+uzqUhNSvRE3U7g9t4DtNwD8Fy5R2sZd4mAKYQvT+Dx/VrLRu28WKBajLs0IQYSc0ycESVi+VB40Pv8u5rPwQyf9VbwSbH9mwitj+oMk38lJtwhL2r/9qB8mvDJ9AhN1P2WCv2CLGfzMDBG5jo5CRyiPxWsA2PnZ3+/MMLKu3HeA5yUdru3tRBCNIcIpVx7zdQ8O0nhyDcPQkCPU8rnv20fz2LfPaQOLi858s3u3s+P39jqJf2jIMYrdu6mP5mYnobP5iZ3GTU2OeLe1EeHmZHdzc3QOIIl/fNzVB6w980z6nJ+nwscBuo/t7e53V1fhecD1pSGp9UXcTOH7UerVosRlPgo77i/yCjIbSIIb5EOQBIwJWthqViaKYQwqjEAzpCQt+5d9BEXeyPw6fB0HDjiiKU0v3Pf0NBEM6WCUkTASTAzZbs3SsGQE3K9kvL5zWjqKpWbA95admUzI/URyKyvuPNv3Uym6Do7N52tjG7kMq2SfA4P7X1gotJfz9a2s0O+pKWdHZ6mcI4DGxpy5aGKC7PBjY85vwJL79u3Op7B9O31yqCgT9fFxOj43RwS5uZkI99wcnduyxUUUjY5Snfl5ejbbtxcyhDPOoPOdncQIenqsPfVUml97OxH3LVuobnOzC1MF6HtLC/W3cSMdGxwkJtXZSZ/KFOqLuJnCGwFcBeBlACa4RGkbd0na0RxmNpGESBLhYmaoIE3BJ4J+VIwPfwy/Lz+NgnTwMtEMmiMTS7azS6lYElAZfbJpE5ky5MramRkX+uhrWcwsZB8+g/MZJN8LX9uZnqbCTnQ2NcmUzpJ5SY1DSvvpNJ1vbS1kIMzA5FxlxJBv5pqZIWLM5pqJCdJI2AewtOQifFIp931xkf51O3ZQvb4+Ir4bNjhfwsSEtSedRPVGR63t7iaCOzFB9nz2p/T0EHFmwtzRUSi1G+OOz887Im6MtSecsFqi9wu3B+h+laon58KMQv7etStcIFMkj7iZwl8AeADAdwBkcuX/LdHmWgC/ALAccn4/gEcB3JYrV0aZS61CUoPAhMInauVEGwWZd8J8CnxeFpbopZYh58KfbLJgyTLMhOXnwPHt6dK0IlMsMDFlYi2d29w/9z0761bcMmMIMn/xvIOc5TLShhmCtMXLugcOkDnG1zZ4vHTaaQTSTLRvn2OI7KCV82NJn2P42RzEK4M5TJNTOqRSdIxDOZlBdHURgWftgaN/+vqIgPf0EBMYGaHvPT3EMJihNDcT02FNo7OT+uzupvZMkDs6yFRkDEn5+/cXMorBQVefP1tbHQPguuw34LJtm82bjtraghkF99HfT323tpJ2pagf4mYKPwbQFqWuaPOKnEZRjCn8Qzl92piYQjnSijRDBNnv/YU5YZ/83Zf2+bg05cixg5iQjI2XkSd+GCcTTblaOIjQyrBMZjjymqUz078OZjrSNs9MZHiY2iwtEVFiG7g0IWUybmxptuK20izDJpeZGeds5nvCdVnaZ6euZCA8ltQA+J5z7p7xcbqWnTsLTWgc1cPRNvw5M0Pf2W+yuOhCNgcGiDhzSoneXmdO6ewk7WBpyZmP2JTDjtnRUWIA7e2OSZx7LvXBpiVOc3HWWaR9tLW5wppGMemdGQb/ZmmfP085xZ2T9fz6UqsoVnRlc/0QN1P4MoDjotT12m1tNKbg2/flcR/Z7Oqc/T5T8DdHkSYc39QUlhLCWufE5SRlsg+fmEuJ1c+5Iwm5nOfKimMgDEkgmQhz3L+8B9ksETq58xbfi8HBwvZyvwB2trKphTUBJq5DQ0QQW1qcdM7zTqVcTD7b2jlxHDtlmWhPTKy2XbNJjB3Wk5NEKJmJyWR0nP5hfJykdY7VHx93Duz+fjp23HH0yc7cpSWSgvv7iVADJLGz1M+EdHGRjvvEtbNz9ff5effdGCqbNq0msE1NZPOPQowboWzbVvLvqUgQSeQ++iWAG8sJSY3AFB7JRTZ9C8CLi/RzAYBDAA6Njo5WfXOCHMZhUUJytWg2G56dlAmQlCx9X4EfpugzIpaCZeSKNDfJMZjABzmpM5nCBWY8dlDSNq7Dkq68Xh7bdyZLbUCmZpaOdSnh+5pFb6+LgJmYIKYgpXjJEFMpF5XD0r6Muz9wgD6XlohZMPORayV4ThyKyfcxnSZ/CNfbu5eI+8aNRMTZPLNpE9nDmVB3drqIH3ZaszO3q8vF5htDz4ElZPbTACTZb9vmGJmU2tmUs38/MZLubqrP5wYH6bz0C7S1kRbhm3qSKEEaQ7HC2kRfX3FTqyJZxM0U/ktQidCuGFPoBdCT+34QwE+izCUuTcGX1n1nrTwmJX6f0Eq7tnR6zs66PXZ5XD+tQRAjktIrEzP+5DFYsuX5+GajoOsJ0nLk/OWaAqlB+E5cbuuHi1pbaPP3GRtDRgzxby7+oiy+F5s2kT2aNQ0mvhx3z9I/2/XZns8LyjjtAmszBw868w4nnkunSdJfWqK6+/YR8+rtdTH+bB7ilBDj40TUm5vp+Pg42f/7+pzZZvt2ItbbtxNDGBkhjbCnxzECDuNsbXXEXxL7MGLb1UXt29qCHcxcasEoopTjjivPdKuIF7EwBQCmZAdF6hRjCgF1fwZgsFS9OJhCkN1fSuNsY+ctDuVKWN/OvmlToQNWSs6+ZO6vXwgi3Dw2t/e3N2Ti6bdlgumbmnhO0m/Ac5mYcOsIZPQMh22yg1TmCJIMiokpz2F6mqTsiQkicBMTq5kDm22sdWkb0mm3OpnnIcNHOTae1wWweae5mSR2joritQccrcNmnN5eF04rI4Z6e50/QBLUvj5H7MfGiCE1NTlG0txMv6Xpp6mJCHNnZ3ECzcfYDHWsFWnWVNQWcTGFmwBcBGDUO94G4DcBfA7AXJH2xTSFzcxQAOwFpeQuyYSqYQrSHOQfl4vJmMhLU1AQM2GplOuxxiA1DVlf2vz9dv5CMCnFS0YgnaxSc+FcN5J5yEyV6bRLKc19sgTNBD2Vcm1Y2maizX4B9jnw+bY2Z5bZvbtQ8l9cpPrsvGWzD4dsDg6SxMzXt7jo5iFNR9PTxBiyWfq9cSNJ3zwO+xCmp6mPgQG3opY1Bk4Uxytsd+50eXoWF0nqPu44YgCLi1RvZIQYC/sL5uZozq2tZLoZGaHrZ3OOXzgCp1xzy3ot8/MV/3UVMSAuptABYB7A9wA8COBHAH4K4OcA/gbAaUXafhHAQwCeAYWzng/gQgAX5s6/C8CdOZ/CzQDOiDLhapgCO0aD7PCScPMuU0zgZU57PzyRJVq5yXrQXgC+PyGTIfuw1ED4k+3/0owzOOgIHIdOsrmKCfzkpLOxDw05Ii79D7JPjp5hSZ3XIPCeuvybmQYzHmnG6elxzlje7IUTwDU1ESFgkwrn3OnqIsK+sOAybi4u0veODrcQqreX+tiwwa3g7e2lKBtjnLO6r4/uCS8A27rVEeLRUcdEOaQTcGGcTU2rpfmuLuckZo1ACXv1ZW6u4r+uIgbE6lOg/tAKSp/dH7VNEiUOTcEPz+RzDD7vRx35Ej2HYUoHqbWFdnbuL2gBmVzhGWSz53F5dezAADkwWfJlBiA1CalBsH1eXoc0BckkZ7zlIreZnHSx/tLRLPufnCTGwdJ6c7OLLGLH7sQEvWXSFs/EenKSrmd8nCTu4WGXpoG1Bc7myTZ8ljg3bHDhrgMD1KalxTGGxUVafdvcTGONjZHEz+Gb/f0uomdw0K0GBqgf6fCVdn2OIOLS2krj15vgNnI5CtjncsW+9KUV/38V1SF2ptAopVqfAsely3h83+ksnbZMBOWCMSb60gEr491Zapf1/HUIrEFwG393LZbuWSPhdMq9vW4FMS+c4tW4knizJpDJuPMyTw8zAya+clFYJkPmFTYdHTjgiLPcTWvvXmfeYfPP2BgRSl6sxc7XnTvpOJtqOM3ytm00zvw8zXdkxNn+l5aIeE9MUB/skO3pcfZ7jufnBG3z86QpjI8XagwAaScdHYUrb9kh7K/GbWtzIaabNxdGCMn8PsVW+h4LRRL8YqWgkaIuUKYQADbZLC4Whl7KUEpp7uG9CeR6AM4SyTn92UnLjtXeXiJ2LImyyYVt+tKUw/21t7tQSj43NFRIuJkwDwwUrqLlGHxOuMb5cDZsoKfLknRLi0vtsG+fi8BpanLaB5uFxseJ+M3PF+bL53TOzGTYRDU2Rp99fTQGS+g7d7pU0N3dbsFWX59LzwyQf2BgwDlumZA3NREB5pQP7MCtVTQN38NjtVRE8IsU1RTqi6hMoQnHEPbvB/77f6fyy18CDz8MDA8DF10EfOhDwPnnU72rrwZ27QI++lFg+3YgnQa++EXgyBHguuuo/Yc/DMzM0Nve1gaMjwPvfCfw5JPA4iKQSgE33QT8t/8G3HMPcPLJ1EdfH3DXXdT2938fuOYaGm/zZhr7/PNpnFNPBQYHgaNHqd3TTwMf+QgwMUF9AUBHBzA3B3zgA1Q+8xng058GHnoI2LoV6O0Ffuu3aK5f/jLwpS8Bjz4KHDoEvO51wBvfCPzN39DYTz8NDA0BH/sY3ZPXvIbGvfNOoLUV6OwELr6Y7tkb3whcey3wqU8BTzwB3H033c+dO6lOdzfNr7mZ7t9TTwG//jXdm+eeAy64gMa64AJgbAy4/no6//zz1G7fPqCpCTjuODp+5AjNYXiYCgCcdRZwxhn0vbeXnoExQEuLuzennhr8HnR2unbGhL8vR48W/m5rK/2OrRUchcFzJUoXgKYIBQCej1CeAIAf/KBm16ioEFE4B4APRjlWixJHmgt22MpN4zmChSHNOBxpwyGb1jozEUfWcF8c8siOYmnTZ82ATUasZch0ymyS4egbjsZh05K08fNqWk6MxtE/MmKJnbnj43Se7eW8Axc7YDmNRTbrQj7b2+nc0hJpQLt3uxDO7dudiYqzYQ4OOjPMli1UWLr3Uyq3tFDZv9/mpXJ28Mp6zc3W7tkTXbqNmm6By3p0ICch4ZcqRwELuKCCkRF6Fh0dpAkC9C4p6gfEvHjt1oBjd0RpG3eJa5MdNrXI8Ew22bAJic1GnOVy2za3ZoBXsHIKBo7b50yeS0s0DjMHJqCtrc4nMDFBRK+52YVXMoHn7R27ulzkzcpK4Q5a7IBmm3tvrzN38YYtnP6hr8+lYGZnaXMzXQ8TcXbYhhHOpiZqy47XkZHVRFxLsqWeBJ8Zrp+mw19g19paKARw/idFfRGVKbQU0yKMMe8AhaS+0Bhzhzi1AcA/x6+31AYdHcD8PJluhobo2GmnAbOzwCc+Qeakiy4C3vAG4P3vB972Nqpz2WXAn/wJcOWVwL/8C/CXfwns3k1mk40b6fjMDJlQrr0WeO97gZ/+FLj8cvo86SQyMT36KLUbHKQ5/N3fAT/8IfC1r5G5ZGSExr3iCqCri8wpl18O3HILcOutwAtf6EwgV1wBLC8DX/kKmWempoCFBTK9PPIIcOmlZPK54w4y8fzHfwCvfjWZxIwBDh+mfh58kEw2TzxBv1tagP5+Mt2wWef554HHH3f38cEHC+9rSwv1+cwz7lhbG5mmFKVxNGeyKYWoNt/nI9R5AkCvsXjNa+idftnL6Pj3vkfPfmQEeNObgO1fo/d1eBj45jeBCy8Evvtd4JxzgI9/nP4jPT3A5z5HbX7v94A//EP6n73lLWSOVawRFOMYAPpAC9C+COAFomyMwnGSKHGYjziElE0tHGfvb7DOkT1stpmedpvDc357Tjmxb5+TpMbG3L62vFJ3acklXWPpaccOm5fAOLXwwoLro6+vMAUCQKYdzsHP0TdSigNcjD0nUwNWR9eccEJpU0s5pphi6Ri01FfCL/VsONChpcU9c14L0tJC79vkpAto4FXuHGzASRz9lCq81kdTWzQGELP56O+iHKtFqZYp8MvKGT0nJihUkW33bDbiuhyiyT4DfuGZ8HMoZybjdsuSawc4Vp+Pcb10mhjD8cfTU+CcN+PjFLXDZqHxcWfimZ93q3zZbLNlCzEKNh01NVGYZU+P20Zx40b3Z+cEbNu3r06rzIyD8/L49nafuARtvRhW/LGAxsnJs1YJ/vCwe0a85eiZZ7p3uaODntH4OJkSd+6kBWSTk24nN94pjVeb8/vFZlU//5UMw5ar/60tvmBTUX/EzRRu9X63APhRlLZxl2oXr01OFi6yGhykPwY7ixcXXe6dlRWXfbO52R1jXwBnvuSNVbq6iKCOj7vNyzknT08PhVZu2kRS2OKi0zY4pn9uzoV4dna6/PjG0JxYs2Btgv0RW7a4hVl9fYU0ZnCQCACnYuCtEsMIvV+iOmLLdfCulfKfaK4Lwd+82T2f3l6SyAGXXG9ykp71+LhbsDc/7/aOZqK+tOQCJHj1uFyIyCvj+bifoJH/N8X+U+UcV9QPsTAFAO8BcBTAswAey5WjoJTXfxFlgLhLXExhbIwI5Ykn0l3YutXteLVlC/3htm93UnVzs1u9y/Hr/GdcWgqXmkdHqW+W7Jk4s2knlaL2LJ1HKZxSud4Ec62Xekn4koHyPg2Ac/a3ttK71dxM757/bvX20nsjI8bYtLN1a+FueHKzIs4IKxdJyuOOO5EAABYpSURBVLxY/n4bivWF2DQFkF/r2iid1aJUaz5KpYioszTf20vS1+7d9EeU6Q444+XCAn3u2OG0A86h39lJajlvOXjccS5iCHCSOROCc88lU9GZZxJhZ7NKayv5Ms48kzST/n7HQHxp3Ri3JaJ/vrk5OCLI1yBkX/UmzuuJ4MvMqc3NRORPOIHek5ERejf4PVtYIAI9N0fvIa86l2HLbL7k907uRse+MbmqXqYHl+HQ1gabeWQCxjgYgjKVxkXc5qNbotSrRak2IV53tyP8bI7hxGe9vYWbpgcRXYCkt/HxYDt5HOXkk+tPVBu5ZPDSujltg0pnJ0n5xri9kaUPh02FrImy2VKukF9cJDPkpk2FmXyDiGw2u3oTJXkurF0Q4iTiMnWLovEQN1P4JICXRqmbdKmGKXAytvZ2p4LPzRGD4M3U2bnGOXVYwuvupnatrc70w1FDpRymGzaEp1cOKjIff7WlHGdwI5SfYHNdCb6vObW10fMfG3OS/uioS7HNi/jYDMNBCbwmZGCgMHEgL5CUErzUCKTjthii1KkHlCE0LuJmCj/K+RXuA3AHgCzW6OK1hQUypczPu1z5Cwtki2UNoBQBZ/MSh4n6hNcP/9RC5T4cVzeCLzes37/fSfaAM+dwiK8xdJ6f69iYWz3Oyfo2bXKfTMz9JIpyX4tiErw04yhRVSSFqEyBN7kpCmPMC0LWOPy8ZOOYsWfPHnvo0KGK2h4+DBw8SAvF5GW3t1N+HkXl+Dk24UT8smS9uBdebQA9yJYW4Nlnw+saQ6W1lfIvWUuLGLdscQsYf+d3gC98Abj9dsqL9Kd/CvzZn1EOp127aOHeFVfQgsPHHqP3xlr6ffnllH/q8svp2LXXujxNhw/T98OHaTHX4uLqxVxcR6FICsaYW6y1e0rWi8IUGgnVMIXlZWDvXlr5e8opwI9+RIThmWeIUAC0AretjYgCr/J9PgqFWse4GeN4KZZL1kuK4AO0uvrJJ+l7Wxslq2tqIgLc2kpJ+C6+mIjtxRfT6tvXvhZ4xStoNfm2bbSi++STaaUu48MfJmJ+5Ait3L3uOjo+OEh93XQTfQeASy4hRvCBDzhGAjiCz598LAjLy8BVV1ESRGUCiloiKlOo2pxT61KN+SidtgVmHy1UokTqxG3S8ddLcDK9uTm3LzMHArS3kymnpcVtes87tG3f7py3vJVoWxvZ8eV+1HLFrYS/GZJ/LmifjXIQZi5SKGoNaOrs1VjOCbsyN896R1wpkoHo6ZGbYfOlxVj0dFqMDLtjg+0W//Efbo7t7aSNXXkl8PWvA29/O6UAv/9+Ot/URHUuuIA0uqYmYMcOSo39wQ9SOvIXvIByLL385cCNN1I/LIlzWvDFRZLSWZoHCqX1XbtWn5MSvUzdHQVsLpJ9+mMqFI2GY4opvP3tLt/+ekCcOfHLJfgtxhH5tmaLoY30va+JTD5nnUV7THzmM8Dpp9P+Dh0dlKzvT/6EEgguLRGhPnQI+M53yNTz4hcDL3kJJRs89VRgwwbgr/4K+OpXgZUV2hfis58lX8DVVxMT+MpXaP8KgJL/7d9fSHh5H4Rdu4qbbYKIeDUE3GcqCsWaQBR1opFKNeajubn6m2riNOlENeuUG5YZltpCLoqT+yTIdNxzcxTRxWnFORJnaYnOb99O5p1UysXbc6jmyIgL75TbhsoFWn5eHXnO31aVUY65Rk07ivUKxBl91EioxtH80Y8C7353zBOqAHGmSK7EacvYuJFSbL/oRWRyec97SEo+5xzgj/6I0mi3tpK5rbOTJPsf/pDa7t5N9f/gD0iKv/RScujOzpK0zuAoG478+shHyEx0/fUkQd90E+16Zwz1sX//ametH5kjfxc7p1AoHNTRHABevLbeJHy5WQ5L+vPzq9NdjI5SbP3CAsXb9/W5BVdjY24PZ5a6eTMiTjFubaF0ns06iV5K8WHO1bBVuhqfr1AkD6ijeTVuuKG69vWy4be32ALnLZehjRYbYPHcc7ShDkB2++efpzj5X/+abPvNzSSJP/ggbfJz333A619PmsD730/fH3iAnLkLC8Cb30yO2fe+F7j3XpLsL7nESeFsJx8acnscz8/TZ5ANnW31DP98uQ5chUKRIKJwjkYqSWkKtU6gdhSw+/dTGGZPD62g7e2lbJVtbRRmyVsdLi2RJM8ZM3fsoMR6e/fS6tutW8mOf+651H5hgaT7iQm3qpbTd1jr7PesFfDeD6wRSImej4dtllIsR09QPYVCUR9AfQqr8StT3JYf5+Kre3ASduKnAIDNmylyhjE/D3z722R7Hx2lY9ksbb25axdw3nkUYdPaSuc2bqQV148/TpK7MRRF9ZWv0Plf/pIiqzIZ4Ac/AL7xDZLYgcIFVfPzTpJfXi5cVRtmm/c/FQrF2kRUn8IxZT4qZdoBopl1fozRVaacnk6Lg2e63zvxU2zcSDH0vpnl+uuJyD7xBKVR+PjHqd7YGNX78z8H7rqL6m/cSA7yq6+m7y95CZmGeG/onTtpFe7111P9P/1T2l+aTTLSdCNNO36aBZ8hcGimjNFXKBTrH6opeDiCLgzD7U6/cSNJ7DJ2vbeXNil/8kmy2d98M9nrH3+c7PLvex/V273bpUg4coQk+uuuo3QKnG6Bo23uuosI/MMPU5qG+XmKwX/44cIIHmC15C6/+xqAfz4qVDNQKNYX6h59BOBaAL8AsBxy3gD4OIB7QZlXJ6L0W+3Oa+PjwW4A3iuZC+9rzLurbdni0imk0xSnv7jo4uzTabLr8z7PbLeXcfbWro6lX1mhtMnSZu/vdZukPV5t/QrFsQHEmTq7kgLgFQAmijCFgwC+lWMO+wB8P0q/1TKFqSly7PI+yC0t5JjNZongDwwQsV9ZcQus2PmayTgiyk5bGarp73Ebli65nJDMpBmCboqiUBwbqDtToDlgaxGm8Nc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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "def quantile_linear_regression(df):\n", " X = df['size']\n", " X = sm.add_constant(X)\n", " model = sm.QuantReg(df['rtt'], X).fit(q=0.1)\n", "\n", " L = model.params['const']\n", " C = 1 / model.params['size']\n", " print('L = {}, C = {}'.format(L, C))\n", " \n", " S = df['size']\n", " plt.scatter(S, df['rtt'], label='data', s=.1, c='b')\n", " plt.scatter(S, L+S/C, label='regression', s=1, c='r')\n", "\n", "plt.ylim(0, 3)\n", "plt.xlabel('size (bytes)')\n", "plt.ylabel('rtt (ms)')\n", " \n", "quantile_linear_regression(df1)\n", "quantile_linear_regression(df2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This model has a better fit on the smallest values of rtt for each packet size.\n", "\n", "## Second dataset: Wide Area Network conditions (StackOverflow)\n", "\n", "We apply the same analysis for our second dataset." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " size rtt\n", "timestamp \n", "2015-01-20 16:27:00.808824 12 NaN\n", "2015-01-20 16:27:26.232560 22 NaN\n", "2015-01-20 16:28:27.915612 11 NaN\n", "2015-01-20 16:28:43.190747 22 NaN\n", "2015-01-20 16:28:54.255838 16 NaN\n" ] }, { "data": { "text/html": [ "
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" ], "text/plain": [ " size rtt\n", "count 6824.000000 6824.000000\n", "mean 1005.615475 114.230657\n", "std 576.383830 8.056183\n", "min 24.000000 110.000000\n", "25% 498.000000 111.000000\n", "50% 1001.500000 111.000000\n", "75% 1510.000000 112.000000\n", "max 2007.000000 163.000000" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "rows = []\n", "with gzip.open(wan_file, 'rb') as f:\n", " for l in f:\n", " try:\n", " rows.append(parse_ping_line(l.decode()))\n", " except (AssertionError):\n", " print('invalid line', l)\n", "\n", "df = pd.DataFrame(rows, columns=['timestamp', 'size', 'rtt']).set_index('timestamp').sort_index()\n", "print(df[df.isnull().any(axis=1)].head())\n", "df = df.dropna().copy()\n", "df.describe()" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "df.plot(y='rtt', title='full dataset')\n", "df[:1000].plot(y='rtt', title='zoom over first 1000 points')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Like previous dataset, we observe some spikes. The base latency seems to be much larger." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "df.plot(x='size', y='rtt', kind='scatter')" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "df.plot(x='size', y='rtt', kind='scatter', xlim=(1470,1490), ylim=(105,160), xticks=range(1470,1490, 2))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Again, we have a discontinuity around $S \\approx 1480$ but it is more difficult to assert it precisely." ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "split = 1481\n", "df1 = df[df['size'] < split]\n", "df2 = df[df['size'] >= split]" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "L = 113.22750968484881, C = 22119.029139904094\n", "L = 120.05358833473096, C = -554.6631211596213\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.ylim(109, 120)\n", "plt.xlabel('size (bytes)')\n", "plt.ylabel('rtt (ms)')\n", "linear_regression(df1)\n", "linear_regression(df2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The previous regression model also seems very disturbed by the high level of noise introduced by the experiment (especially for the second domain). \n", "It is worth noting that rtt precision is reduced to millisecond (compared to first lan dataset).\n", "\n", "We re-apply quantile regression." ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "L = 110.99999716220327, C = 450852383.71053827\n", "L = 111.99999672413105, C = 585118939.8129449\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.ylim(109.9, 112.1)\n", "plt.xlabel('size (bytes)')\n", "plt.ylabel('rtt (ms)')\n", "quantile_linear_regression(df1)\n", "quantile_linear_regression(df2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$C$ is very high: this means that this model is **constant** over the two domains.\n", " \n", "* $L = 111$ ms if $S < 1481$\n", "* $L = 112$ ms if $S \\geq 1481$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## A word on the discontinuity\n", "\n", "The `ping` command sends `ICMP` packets [1] with an IPv4 header of 20 bytes [2].\n", "\n", "These packets are split when their size exceed the link MTU, commonly set to 1500 bytes [3]. This explains why we have a discontinuity at size 1480 bytes: `ping` introduces around 1 ms of additional latency for the second packet it needs to send.\n", "\n", "[1]: https://linux.die.net/man/8/ping\n", "[2]: https://en.wikipedia.org/wiki/Ping_(networking_utility)#Message_format\n", "[3]: https://en.wikipedia.org/wiki/Maximum_transmission_unit#MTUs_for_common_media" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.4" } }, "nbformat": 4, "nbformat_minor": 2 }