From 89280e8d953abb55d884e92da5e6e24804a5d721 Mon Sep 17 00:00:00 2001 From: 62a87b5436d4e43d879f356d867ad95b <62a87b5436d4e43d879f356d867ad95b@app-learninglab.inria.fr> Date: Thu, 14 May 2020 13:23:10 +0000 Subject: [PATCH] finalize --- module3/exo3/exercice.ipynb | 451 ++++++++++++++++++++++++++++++++++-- 1 file changed, 426 insertions(+), 25 deletions(-) diff --git a/module3/exo3/exercice.ipynb b/module3/exo3/exercice.ipynb index b04a8d4..b23a16b 100644 --- a/module3/exo3/exercice.ipynb +++ b/module3/exo3/exercice.ipynb @@ -160,7 +160,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "The value `time` is missing from some rows. We remove these measurements." + "The value `rtt` is missing from some rows. We remove these measurements." ] }, { @@ -277,7 +277,7 @@ { "data": { "text/plain": [ - "" + "" ] }, "execution_count": 7, @@ -330,7 +330,7 @@ { "data": { "text/plain": [ - "" + "" ] }, "execution_count": 8, @@ -371,7 +371,7 @@ { "data": { "text/plain": [ - "" + "" ] }, "execution_count": 9, @@ -403,7 +403,7 @@ { "data": { "text/plain": [ - "" + "" ] }, "execution_count": 10, @@ -432,21 +432,21 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "We \"zoom\" over the discontinuity ($size \\approx 1480$)." + "We \"zoom\" over the discontinuity ($S \\approx 1480$)." ] }, { "cell_type": "code", - "execution_count": 36, + "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 36, + "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, @@ -484,14 +484,37 @@ "source": [ "We can now compute the linear regression over the two domains to find $L$ and $C$ with the following model:\n", "\n", - "$T(S) = L + \\frac{S}{C}$" + "$T(S) = L + \\frac{S}{C}$\n", + "\n", + "(in this notebook, $T = \\text{rtt}$ and $S = \\text{size}$)" ] }, { "cell_type": "code", - "execution_count": 33, + "execution_count": 13, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "L = 3.2756741993939427, C = 3064.5146168986485\n", + "L = 5.289832573707122, C = 387.76039978488734\n" + ] + }, + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYIAAAEKCAYAAAAfGVI8AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi4zLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvIxREBQAAIABJREFUeJztfX24X0dd52du3po0SfPSkDalIS0Bb7sJtGm2CaXBrolbTNWy3UVlcSEP1a7GVdA1Uh+eB8y6+yiid911ZV00tYgI6F7QrqjAo7fCLos1FehNKeVFoLBwQ6EiZelCW2b/mN945k7m5Tsz3znnJHc+z3Oe3/mdM/Od75kz5/s2b0JKiYaGhoaGpYupoRloaGhoaBgWTRE0NDQ0LHE0RdDQ0NCwxNEUQUNDQ8MSR1MEDQ0NDUscTRE0NDQ0LHFUUwRCiDuEEF8UQpwyrr1OCPFRIcR9Qoh3CCE21Cq/oaGhoYGGmh7BnQCeb117D4BdUspnAfgYgJ+tWH5DQ0NDAwHVFIGU8r0AHrGuvVtK+cTk7wcAPLVW+Q0NDQ0NNCwfsOyXAXib76YQ4jYAtwHA+eeff8309DRr4Y89Bqxe3f1//HHgoYeA7duBFSvyaD7+eHpeM09Kfg5+S+k8/rj6Tc3/2GPA5z8fzuPii8JrzjvgwOOPA5/6FHDZZer/Qw8B27YtbmMcoNQdFUPUFaXM0rbN9VwldHztt+/6vvfee78kpdwSSzeIIhBCvArAEwDe7EsjpXwDgDcAwN69e+XJkyer8XP6NLB1a/cbSjMm+HhK5dVMn/Ocp0+r35wyQ+WdOgXs2uXndWyw6xHg4dV+5jHXARdKnrFW/VDabB98pEAI8RlKut5HDQkhXgrguwG8WI5goaPTp4GjR+NKQKcZE3xKIJVXU3jlPmdOmaHyTp8GXvOaM+8N/WGFYPPG0WZcdTTmOuBCiRKo8a1quqdO0emfTe9J1JTFQogdAP5YSrlr8v/5AGYAfLuU8mEqnZoeAdVyS9HuNs2+LYPTp4GHH15sTVOtmVxeQ/UY8lx8eUp4qQ0OizDl3ljrYUgM4b2negRjgBDiXinl3li6msNH3wLgfwP4NiHE54QQtwL4LwDWAXiPEOJDQojfqFU+BVrLU5CiBF72MuDWW9X5EN7Eww8DN96orBfNE9WaKWngLtq+56fU/Rg/tpT3meNhLlUPIAWxd1CrvjTdc/F9VPUIuFDbI+B+sUN7BMCZ8fU+4pupfRZna/9AaZ9KLF+sryG1/2Es9caJms90LtXX4B7B2YIaL3zr1sV0h2hUthBNsWZyvRgf7dTrp04t9mhKeKoBjj6V0Hsw6Zvepe9aCGOqN07UVALnYn3FsOQ9Ai6M1YpI7dvg9mIodFxpxuwRAPVDN6YHZ5cR8zht7y/3HYwBtTx2Sj/ZWOskBc0jIMIVu86hYVoRJdYEpyWSYt3YaUOdu7nlU2PigFICYxgxpPt5zP+nTnVWeSotajpzJJv93OY1Vx3b/UExoae9jBB/Q1jINaxzCs3YiDZqOWcVpJSjP6655hpZAwsLUt5yi/p1/U+lxUEjN2+Mr9K0ubxR6sV3jbsuUrGwIOXhw1LedJM6X1hQ54cPSzk/n163Kc9T8t7MOqfwND/fPWMo3RDvokaZNd6BnW/otqsB4KQkyNglHxoqGap3993ADTf4aeZ0ktZ2R0vol/KWmn8o19zXWVsaDhpjiEaH4Kjhkj4wBC/cNMcSVmqhISJcbjcFd98NfNd3qV8Xzdiwyb6HvlHKjqGUt9T8QykBO0Rmvs8SvihKoM+OytOnu0l7Md76VAKhOhgqXJSKMSiBFCx5j6AEPo9AI+QRAPWHZ6bQGBocfHF08sX6SLg8mpx36epAL8WQ3qkPnB4BNS3HtzVGNI+gB4SUABBuQKkWSK6HkcLTUOCwyFydpLk0fEhVAimTxmJluIbUciBn0lttcHknKc/gUwJLZigppSNh6KNGZ/HQHTmhTtNQp13K9dx0VJR0qruul/IXqr/SOuJ81lx68/O0vBTaXGk48pTkq02X+3n6ljsgdhYvSY9gDJretkAoFm3qxCwXfa5nzqEXy1PKn2/S3FCWIWXSWAp0p25pDJ36PDmhy5x6qvk99t2vBfB5731iyfYRcMX+cujE4pG+Xw5egfAoqZSRLanx11jfSG7st/ZonNw+ndzyS2PkQ45Oyo21n+2xeBulfQ5c9dH6CCKwhwemQOehanjzPiU+vHVr5xmYvxywJx+ZSxVQ4usm/67Zrj4rSNMOgfqBmDxQLGQKbV8sP9RvQG07oXqlWI12Go4Yuj0clgu5HlUfSqBPS3xM3jsJlPjR0EdfE8py8lAn7ZjpUib6SKl+uSao2HwcPtzF580yqTRsfl18UuuKUq6mT6lP6vv1vSNXWbm0XfXqo+HjgxN9T3oaQ5/cWCZ5UcDFJ4h9BIMLecpRSxFImSekcmfXluTpo3MvpROyZDZrynVXOu535aNpCm+fMrDz+gR+KX8cyGlTqTS503PSHIMSaJ3FI0XOuiJ9TIxKnejG0aEZi+GGwjG+jloKj6m8c74rX+jn9OluslWIP3MlUN8Qz9JOY67+Ie59DlLfW42QR+lAgD4x5s7iwa19ysHlEYSsvjFYCzFwDBt0pcux5nMtwdLho2a6WpayhrmeUIlHMBRiISdX+toWfo3hnEOFt/ocXpsLNI9gMVza2LTghrYWYuDqcLPp2J25VPq5k6tKJtmZ1jundeXr4HzlKztr3zck1c7PPfM3FyEPwNchnbLPgU2zVnoTvnfeV0ez67sp8cBHBYq2GProwyPIzU+5xwWuGC93fJ+Sh7JaJ4V+LG7vopcah6fyPJQXyRET5/IIOPK6aKXeKyk7tz7n5vLL7AtoncW8CI06GGJEwhCjPnJHWM3PL17OuQ8ezLJjeUy6KfmGwBhHvywsdMtzc4R+Skfy1S5PStU+tm0bVyjQhaYImECNi8es9ZqjJThpc1vAJo+5dZnLg69+YnHmGn0QnCN0ali/pd6l6/1ye6wpeXLKy1EGpWXXRlMEDMi1Fux8Na04Ttp9WZtDeldDeFJ9e0OpNLjauXmd45lLeOurnDF6aCaoimDJLjFBRc4SDCX5UvgCwks95CxR0ddUf18HLOeSGr7yaj6j77kA//Pm0k5ZxiBWt76Z4rHhwL40p04BW7YMt4xLDu3c76QKf0Is/p8pp9sSEwToMeIh2B9H7pjl0in9vhEe9oinlNFArmUMKB9+Cr++pRJsnkuWjw6Vr89j+zFTaMV4C41qyV0Iz2yjlLboGxHkG7Vl09bl3XpreB9j3/wLfe81rwk/FxW1lUBOuyhtT14I0R19g+I2DH3UWoY6p4OrJO7J2aG1sHBmh6YrJOXj2dVBSu1QpfJr8hcKI9j7ANcIgZS+N2rnMWdbirXRlHg/JQxnt4mSZz1bQpVc/RhZ2LlTRecpRybQ+gji4OrEM+ml3OcQGlw0KUIzZYSEqyMt9AwlHckpQjIHuZ3OXGX3KQhrdESXINdw4srD/kxUwc+gBFRxTRH0ilTrZaydTBwdirWezWfpD1GPY+JlDBjLs+fwwd2JfgZSBf911xUWaBbdOovPQI0O25IO4b46ZlPh6whLed5azxbqCK2FnE7ZmhhrO+Msp4RWTt6Ud0xCapy/khwevLNYCHGHEOKLQohTxrVNQoj3CCE+PvndWKt8G9wLPoWm8FMxRiUA+JciSOk4r/VsLrq1lUDKjnF9KIGhF3rzgVMJlPDMschjMq2NG9M7e00/YGBU8wiEEM8D8DUAvyOl3DW59ksAHpFS/qIQ4nYAG6WUr4zROhs8grFa96VIGYo4hjqIvZNcaxEYz1DI1GGOQP/vpfQ5x9CWojAE/rdAsKrPPx/42tdqcnQGBvcIpJTvBfCIdflmAG+cnL8RwAtqle8Cd8MKLeJ1riA07DF3aG0tmDzEhlGmguPZuOoodZhj3+B4ztEqAY/V7xWkptXfsxJIAqUjIfcAsAPAKeP/V6z7f0ehM3RnMWU00JCdZCkd1Bzl+EbLxO5z8RGiYy9K5+oAzB1VwjFKKHdIZu7onpRlEELvL5bH/h8bYVb7e2GlT+jgfZJplI+UvLzjbF+GWghxmxDipBDi5MMPP9xLmb5JV7E9cUNWl29CFRdSJiaVWGmxSUmh5aFjlnqoTPPcRdPcBObUqW4zGQ3Xfs8lXoFJq49+J9f1lHf+mtf4J+vZ9fmyl6VN7PPx5XoPlOdMRTX6ptUfiPd/a3J8DcDDC2nx/tp1kwyKtsg9cKZH8CCAiyfnFwN4kEKntkcQm1RVYsWlTNrKRYlHkJKXOr6fwyOw6841sUpP8jInotkWsGsiWO47KKVFaQPcHkFoDoQ9mUyvDZSy3aaPrxh/pat2xuoy+R1nDvHM+bbZeQ8AY5hH4FAErwNw++T8dgC/RKFTe89icwP3GvRd52MAtQH3OUbcFvTmdV8oyN5k3iXkuHjipFUjfQltU6jZdc/5/s1vrpROERgmdlFDYey8EzG4IgDwFgBfAPA4gM8BuBXAZgB/DuDjk99NFFo1NqZxWUKh9JTrfaJmnL1mebEyXPsCxPJwxO59+fpUgi5eclfEzClLg9OL8pXFsTJpMnbtYhH+GmYbHcNkOhcGVwScB4ciCIVpfK5wzmzDvgXm2YyYAI99YDUsVd87Hwo5SoBjZm3tZ6aGB4tReUkHLq+zFpoicMDnEYT6BlI9hb4+qJw4cyldrjJ0fjukk1MOd/2OOZTnApc3lKr8aoesipR8j2v5jB1NESQgJthz9zXu08K0FVtOZxxHn0GqJUopM5VmKQ2dvvYGOaVw9Y9wgOL19rHRUhL9kQr/oY2JpgiYUBr/y405p3wIrlBXyZLXuelyhXosfUp9ce/AReExlR6H52gq/JQ6SuXVdy9HcbN6mytWjFb4a4whhNsUQSHMxp5qnZR+kAsLtL0SQoKktxhsAk0Ogey6R7EiS8Nl3Hsk2O8uZxRNiiLhEkq53gJL+amCf+XKgsJ40DyCs1gRzM8v3nM1xdLlCnVQrK6UZaFL8qeCK8xDoeVTAJzl5NBzwTcoQSv+GkpsCDqsz8Fk9fclkIcW/DaaIrBAfUH2JCVKftuiyxXg3MKLuzwqTykKJrQEQkmoqWSCTw2l4CqD6skMHV7g9Iajaa+6ik34m+X0UYdjeFc2miIwQH1BphJIoR2z6Fx5fDy6yraVUir6zktVUPPzUm7bJuXcHL+ySn0XVI+u5GN3lVE7hMcRCnKFrUoV8KK0BGH/JOjr+fRl9FDLHhJNEViIWZUhQRzKlzrCIfRBuQTi/LyUW7dKeeBAXaFI+bC5Qj4mXZ9HQPHGOIRczqiu0uURKGVQ08Tyc/RtHDp05vsoVty2YI8cj0KQ+eWeW3I2oykCInKEuZ0/pyxX2T5FNDeXPyWfGl6JfdixNDmTmCj8hIQ1R8czRclQhSAnuOo0Vcm50ru83SxlWGGUT+yZS5VgzUEIfaApggTkKoHcsnz/uSzunLylabiUgCtNzkfoqmeqcPUpaIpnxIlSIyOWhno/WwlfckkV4V/6PKllcBsjfaIpggiGsPLsckP3h25ctVzrGnXtslZDnlcKTR2+ogznHRpU741Cg1pWED2M7+d6ntxyxtwepGyKIAhXGKbmC/V9oD4BNvQiVlzCmmph+vJS8vjCbXboojSsdraFBzjeHYVO8L7R0btI8E9PlzHXQEZTBBH4hG2qFZUSZtD/Xe6mLcBKLR0uQVCKUgFs/3fR4xL6Kdd9vOaUMTRyDZLos0+UwKPAoM8+ZFseGk0REEAJW8Tc7NSp/SGhluKWc8ZGa1u69vOn5tH/U99PCn+cy4iklJFSZo1wWo5Bkvo+h1YCHOt95bYR1lBbBpoiiMA36oHbI+DKk0qjVKlwhXVsxVcqcFPfTwrt2qDWsS8vV7jQJfzNe7H2ziFYayLGW22hnloO57u10RRBAHoiU2gIXI2XUsOiK6HrEgS+MvT/nKGoXLyOYYQGt+JPqZtSrydWLqVvyufJ9vluQuVQ+9fGwKt5v3kEAyiChQV3XNnnLufQd9GuYdGVWDe1rKJajbpGCCs1NJMztr/UKqSO2Q/Vj2/EkxkKik2oDPHI9a1Q0sdCtRwT/vpAHwq0KQIPfBarXmSO2llLpW8L7VyaoWt9fYSp+fpQCCUfU45g4/YIYunMZThCeUJCcGGBtqhd30q+hjEytMeYitr8NkUQgM9iz1lriEq/hFYNqyFX0LkETsg6CwkZLuFdIsB8wncMYSgNe+kRn+eqV83ltNh94AppnEtCfYxoioAI18fUtxDoO57pUy5UpWPvjBUbBeUT3iWWvPlLSZ/aKZu7K10t+Cx/s2w98a02P5qH0GKBXGX0rQzONeXTFEECfB5CH+irwVO9lJx4tK0QqOX16SmllEVRzCElVxsuY4XqqdnI5ZvLew5hCCUQG5ZdSr9vNEVgISVcUxK7rBlDzgW1geeEXVxpuYVjzodZqmRC9+zlJob4wGOKlfIOFhbKQkmczz0WSzzU1koHkAzh4TRFYMBlrVI+ktTrqevR1GoUKR92yJIP1ZPLC6CUR72vkROqKw07xcbJ9+kx5oCqoHSbzQ0RcmEoIZmKWh5BzeduisBCikcQyhOzrKlCIqfxD0E3piBCeUOT9lI8lJzwA6dHkLIcSU4ZOZ5n6N6YZpVTMXYlUAu1lWBTBAlIsYZzwiuxcqk8Ur0N7pBJTsgoNmmP4qGUWt4cytCnjEq9odx5ICXebGqasx2+9jq2Z28ewQgUgf6wXCMgqB9UKLxC5SEGjhEhOUIk95mkzO9IzBGQOp95zrF8Q0gh+a5RvKWcdpaSnsrj2MDFk0/ZUt8PNz9DoSkCAvRL9o2ASLXsfPRd130eROjD9U0WopZLuZfal0KlnYNUgZczasZM61KC5qzblHqI1V2Kt5MruEu8llzUNlRyebHPqUbRWBUmFU0RRLCwsNjC9gkBijLwXbf3etXXDx50l5364boUUWnj9XkEIT44yuVAyRwQH/9mvXJ5egsL3Ux2qhHB9T4p6UrKKm0Dfbaf5hEMrAgA/CSA+wGcAvAWAOeF0tdSBLGYe0kj0JvOu7wMvZSFi35qOMVl3dQa2021cnMtUI6PrqQOOKxDqkA164pzsl0OfKGTXFqUa1y0G8IYrSIAcAmATwFYPfn/+wCOhPLUUgSp7nkqfKEm84OzQxm5oRhTANYMB/g8KH3NNYS2bzecsrpsDmLtJSRQUw2OvoUeh0fgo8vxXmsqRy7vqwZKeRm7IvgsgE0AlgP4YwD/NJSnxlpDhw+nLVlbul+tqyH7Zojm0nMpl1D61DJ12hgt1/NQ6phTcNfwiqgKzT6PvZeayAlpmXlD/3Pp5KarpQS4+8U4PaBS5TdaRaB4w8sBfA3AwwDe7ElzG4CTAE5u3749vyYs6A8jFJ915eFYwyXUaHI+ulTB4is/Z3RNKDyUSlsr2tw67tOCS/UkNULLQqTSShFSoUmOoXdIFZBURR/iMUS/D+QqvJAxxqkMSjBaRQBgI4C/ALAFwAoAfwjgB0N5uDwCiiAL5S0pN3bf7jx2dQLbeUqESG4oIKZobGGe8lGlCiv9y/XhUZWhvWS5jwZFwOS8v5wRTFQ6oW/Elza3k96lbEJpx4iaHgEHxqwIXgjghPH/JQBeH8rDqQj6fkk+q8FO44qrxz601Oeh0CtBaBnkHFCElf5v/lLoUsvy5Y9Z+BR6pVZ0KSheHTVtjWcZg7eQgjHyN2ZFsG8yYmgNAAHgjQB+PJSHQxGkWC3cL5TiOuZ8aDkfCLeHYecv3U3LlY4imKj8h9JxeIkuhc/17ny0auSx8/ctiFO8haFhK/4x8TpaRaB4w3EAH50MH30TgFWh9FyLzlGEFLclx+U6plhvuSh95hThztkvkVM+B6ghDYriSa2LFN64Ru30jSGMtlTY7TPFIOkDo1YEqQeXRxCC76N0hR9Kly6oKQBS6KbQ4t7wJCbY7ToaW3jANC5KDYccAZ9Cr3adDfVOxtImqN69eb8vvpsiMKArPrTvaygWbX/sJQLZtiCow0dTrnOGP3Qezti/phnikaNPpDY4BS13yKeveupLqPnefV8eMTeaRzCQRzA3l78aZuh+Dkxa5gzj1I8qVeCnKB4KPSpywlqpCq4WxloWlxfBEcKo1YbM7yJ1r49UjMW74EZTBA5wTDKqEXIp2e2qJD1HWCOWnvsDK1VItYRtjE5JWb7QQ2mYKBZC4vQES42cEm+wD2NnrGiKIBGlH2su5ufDCir2AZRYWbEOdC4PhUt4l9LJmbRWmpZSh6HncwnEkpFiPuHq8xZj9VWrLnPS+2ici5Y+FU0REKE/hiGGlsZc3tj91Ik8OX0dOR8vl3Awn79kZVGbtxpCITVMZ+cLTU7jVqy+cl3lUHgfu5AdO3810RRBAC4riLuxpFjRIeERup+yfo1vzwVupCpVirWcKsBDgpMz3GEjpW7N8jmXn0iB2SZcdZY7DHIpC96xoSkCD2Jx0Rpl1MpPDUVQwkAUnlJ4SKWbYnmmprX/p6wzFeI5VG4sPyX+3YdA1bPBfZvYp+Js8RKWCpoiCKCWUOPIl5vfFvyc/Pg+bq6PnqKofII9lDb0P4eOr/wco8L0coaa8W7STR1NF0oTa4sN/aEpggjsBuraE7imdcNJsw8rLEV52vcpfKXso8D1nLnx71gbSfEKdFiGUo812yJV0acYAzGeS42ThjiaIgjADA+Y/w8ePLPRcwts/cv9UacKotp9BZoPO+xAsfrta0OEGlLefa7xYMboh16WgCKsQwojh27uWktjCD9xlN0H/00RWLAbtO4w9MVpuRubKy5cAxS+a+3g5ePHVAI55Q6hBEom3qWGiFLop9Llzp/zbLn3XenHsLBbSfvw0aj1PE0RGPC9ONM9N6+7zjnQV+OlhFf6UAIulMSi+0SOUZCSriZKhQyHEUQNreXQHQM4jMaaEQKNpggs+CrZdMtrNd4+ELKShnClUy3oWvXOlZ8q3CmLG9Z8Fza/pUKKgxf72tCd4zWQEi6j5OdCUwQJcHkBnBq/NhYW4mux1BY89rVUC5pCp2/LNhYCsIVtX7H+VIU/dCjFRoiXHAU2pmeTclzygk0RAHgqgJ8G8EcA/hrAewG8HsBNAKYohZQenDuUuX5d6bhjgBS+SkD92EvdcpeCLNk7mSo0h/q4fAaBT0n1HfYJ8UvNk8sHN3IU/xDeLgVDhONcYFEEAH4bwLsB/ASA6wDsBLALwC0Afg3A+wE8j1JQycEVGjKttpj1RhVkvvspgrmvhkwpK1QfLq+DWo8clt4YPvYS4yCFNke6UJ5Sg2BMw6rH0C44MFqPAMCuyP2VAHZSCio5angEuRY0xSJLXTK3z47bmBKIPZvP4nTR9oVMqPVec9nhWNlDlFkaxkpJW7rRUK3wFnc5fWBsoTcT1foIAGwE8KzUfCVHjXkEuaNAKC89pWGMybV1hX5caXx5Q2PMc1xlzl3RUkJVue+jtnCM1b02KCje2VBKVpfPOQqrD4TqNGdV277AqggA3A1gPYBNAB4CcC+AGUpejqOPmcWUdLUa5hgakCs+G1sIrXbohstqNPmmeHi5SqDWLFoKfVfIM+Xd9Q1uj6Dm8+R6yiF6fYFbEXxw8vtDAI5Pzu+j5OU4+tiPgIq+XjjXJjol/MbCQGOw1lKsy5jXUsJDiA5HXVE9UTOt3ZE/1NyRGGorSQ5weqZ9fjfcimAewMWTjuN/LM9SRdCndVHywjlm/lJc1hqKIuU+F1KsXP3MfX/YpUogpy1R58gMCS6+xvZcIZzNHsELAdwH4PWT/5cDmKXk5Tg4Rw3FXoLPtc4tM+ee5qMUoWdYWJDy0CH6DlSpH2zpB54awkgRyKUx3dohsdIyfGGu0vBXKsYQ1inBUHXEWW6bUOYA1YXXK0LW6jQcg3WmBeLcnD9Nzmgfu4xc3lImaKWWF1PyISFMeXcLC+XeXG4Ii8pfH6GUodt4CYaqI+5yuT2CywDMAHg7gLv0QcnLcdTcmMZ1X//mKoExrDdDKTe0a5lWFEPFlXOVT4gWNS2l0zyU/9AhKbduPXMUT0qbcCkBzgmKY/IIxoqSsGlJvtF6BAA+PJlU9k8AfLs+KHk5jr42pjHv9zWmu0+4nis0ymSsQ+JSkPMuS0M/pkdA9W5CfHIqxQZ+cH0rNd4vtyL4K0q6WkffncWpaTlp1HZFfYLGFFg2LxSvoK+wUQ44y8oJU+V4BOa1PkIsY2urZxO091xSH7XeM7ci+JcAXgPgOQD26IOSl+Pos7PYla+v8mp+9BTac3Nnegdzc/ERTNRwGyX90MLFVb5t3cfCRNzPV7uecvokUkNm5yK4n/1s8Ah+AcDnAPwlgLnJ8ReUvB56GwD8dwAfBfAAgOeE0vfpEXB23IzNyqJ82GZHuQ5nhDqUXbTtc5e1xGn95gpKioKyh/JS2kfI8+JQ9Kmd6BTk9En46mIpKIS+PLVScCuCjwJYSUlLpPdGAD80OV8JYEMoPcfGNNR0Y7Vy+ogTU8IZlPCG3dlqbwsaKjtHCeSMvEixglO210z1jlJhK+yayHkXZ4uA5MDZ8IzciuBtAJ5CSUugtR7ApwAIap4SRZDaMMcQu/YJF4olWFtR5IyIcnWchujW8ghSlVouahsSIYE7Bi+0D6MlFVy81KqrWqix1tAjAN5VOnwUwFUA7gFwJ4APAvgtAOc70t0G4CSAk9u3by+qDK74XV9x2dzF2/qwxij1ELLOfcrMfL4azxAaKlsLtd9HrO1Qw2O+UWOlvI3FM+DihVP5cvIVArci+HbXQcnroLUXwBMA9k3+/ycAPx/KU2utoZT4Z40dwGqED2pbiHaox05PCa+lehSl0DyZneEpeUv470MQ+kJ6KfMOzPQpfRChuhmDEtCo5RGUCHNu49IFFkVACd+khHgm6S8C8Gnj/wEA7wzlqbFncegF+oSZL22qJVYrXOC6xj1yaWFhsUKkCH7ftRAP3KB6VPb/gwfP7OPInQ8QKz8HujxfZ3YqLa3oqUOGY5Pvxg6uaEFOnj7qiksR3A3gxwFst66vBPAdk07fI5SCrPzvA/Btk/OfA/C6UHqOzmLqyBXKPX3VmFmmAAAgAElEQVTf5Vb7yjLzcU9wCllwOQIpVZHFyki1Tmt8IJRncim0Q4fcfRohmpzvPsSvpkPZdY9aZqz9hvhIKWcM6Ftxxb6bGnxwKYLzABwF8L8AfB7ARwD8LYDPAPhNAFdRCnHQvWoS/78PwB8C2BhKz6EIuDc58Q2Vo5RVYqH7/qfEvlM/AA6LJ0W51LKaYwIy5V3mChGOEIIW1q7RWBy8cnqQQ2MI79xXTshzrlWPrH0Eih5WQC1FHRzqWePgDg3VdgdrW7MclkWKUMhtoFTlpAWbL72v7FTl57rm+zgpCoxbsPoMC9dqqa60pTzkttsxK4EhR9mFyoopBtf/HLArgiGPPhed40RqCCVGJySwzOu+58sdMZNjVaV2OPqWxPY9D8eeDZq+XRbnhC1qe9Pehy+EWbu9jt2yTwVVkQ/5zH3w1hSBB+ZHxdkAYgLM92JjL9wlnGICyyeYcwVnaoN1hasogjBVUcaeJRYKCuWp2TZ8qDFJLMdrqu0xc4DaJscSGspB8wgqKQK7gXAtHxES8qH/sev2fYpHEAJ1JIjv2XzPExO43JYXhY5LSQ5tAYZQg7cc5c/BR+16poZVxvy++wL3PILXUq7VOjiXmAg1nhR6KUtRUMMjJfmpiJXjCk+4PqrQR+ZTGqXCJVRuzCNxpXP9r4EhvBANbg8wlUZNZWCe117kj5tWX+BWBH/juHYfJS/H0ecSEyl0qddy172h5qfCtu595VE7bX35fZ2bJRNvQiOQUhUzB0/UcmJl1LRa+zIuQmUM1R+Xmz5kaKS2sTF4JFzDR38UauP6r0+GeurjUwDeTCmA4+hr0bkSOilWSSjMklpuCkwFEOqYLF14L6RkYp5BrjWWq2BKlQBlWHLsXddSAn0YFxQ++iyDwwCgXKfW4TnhEQC4AMAOAG8B8DTj2EQhznXUWmKCAkooxE7r+6+vlW6eTinbdd+2qjkbPJXH0LNTBSsHbO8ol0bqhiR9P2POvTEiZFzk9PtxtefaZZSCOzT0Jsq1WsdQiiAWkgjlCwmJXOFTGl4oEXhciCmg0p2eTFpUXkoWEkvldX6ef82qcx0+A8L1XQ5VfxTPeghU7SMAsBzARyh5OY4+F50rddt1A5ifrzeb2cXb0A2Oij6sKPMd5PCUEuZL4SnGV23hMQZDIBe2ATEGQRuLFoyh3rhCQz8L4NHJaqFfnRyPAvgygF+gFMBx1FAEPsGauiaRj3ZOPipdKevsUpVSfk6enI839/lK64caW0+NSQ8VTsgVnGMQuD4MGZqx3+kY60dKRo8AwBSAOyjEah19eAT6ZXKOduHgy3c/dX2hUqRYPT5LKfWDKa17bovezp8Tk+YICfZt2YfyjVUA9vHdhkKLYwF3aOheSrpaR+0+gpjF1mc8l9KwciyQGnF3n4Xs6lcpsUhL+QzxS6XHESqilh+rz5wRLzUwBl7GoKTGqgSk5FcEvw7gH1PS1jj66Cwek8sca9ypHdg1LGv7nr2cRA1rnHK9lnDiEjhUby8UfuJWdFKW9af46Nn7VnAj9XnHLLClrMMftyL4yKSf4JOTeQTzZ8uEspqgCuFaQiknXJNTVqzT217KgNOCDj0jd4duDmoYBCW0cpUAZSmKFI/m8GG1kGDt8EmKEhhzCKcWf9yK4Gmug5KX4+hbEXC9DC1EqRO3csuw/1OGYFKVE5Web/MW+1pKTD3WwVrrox4yfFVCM4WWfa1kNrkvX8irGQJj4CGE0XsEQx99KgJ7tAmHoI4JslAaOy2lPMrGOClWNlcD1atr1nDlOZW3SwFxC+a+lp3whZqolv2YreiGOJoiyIBu+JQQB2eZsdm2Pqu8xFLu28rW4YfZ2TqhFO7VTW2FkDqrnHKdSo/ba0yhWcPbyUFfyoizDY0BTRFkguoyu9KWlBkKpbgmp+UIv74bp13e3FzZsNe+w0RUYRzypEKzy/W9mLLg6hDt4/3XMJ4oXm4JbfOcK1w7Fk+qKQILOS8lthl4H52EofBRary2zw47jjCT/ZH6+ltyaKfmi6VxbSpjCjDfvdDmQqlrIYXeMSUcxQVKyCmVHtfSIzbd0gUWQ7THgKYIDORazzHrlbPB14obm89R40PSVn5J+MFH27cvgi99rZmzlHcT22YypBQ5hXPMmPDl4ewXCyFX+NbiaSwCuxaaIrCQYlmZeahpQhYdlSaXYrHT1ViOYmFBygMHpNy6VSmDFH5i1/W9UL9JKr0QKEKJ8m5qhWV8yoWaN2USW67R5OIzlj63vFS+fP9T8p6taIrAQg3XWNP0WcVU5cAJjpAMtZybbnIrAd+HnioAKCEObuU2ltiulG5vIuR9hOiklpuSVnucuct611ICZr2lGENjawclaIrAgZBrXjIjs2Slyxp5YsI1VYCEvB5XHpfrnxsSiPE1pslcnPApUH1vLHxKufh9lHgUOWWGrtvtJHXv5troo4ymCALwWVqpNFznuTRCabhGMiws0DfFsS29VIsq5XoJuGhy1C8nPW6aHO01pyxK2tz+uxSPe0yKU8r+vI6mCDwocWE1OF5iSmgk9SMOfSCU5/Z5AtQPbGwfXQylVqzLqOAejRISfil5c9tdTdTyCMaOPp6hKQIHclzEEK3SvLGPMXVGaOhDpwqM0lhqrhCsKXxKvBhf2pSF4Ti9uhgflLyUdlcywOBsEsYhDPEc3J5CUwQGfHHDlHyU6xR6qR+vbcGHzks8nYWFrhMypb8j5hGkKK9ao5tquOClXloNPrhp5rajoTtac4wgF43c2eSlWFIeAYBlAD4I4I9jaUsUQY5lHUqTK6xyBPXCgj+m73uuUk8lhTeOPgO7TnLqtTRNidXbt8Co8SzcGFoJxMJ0KbSo5ZTSq4WzQRH8FIDfq60IpIxbrdR8paGlFCFrnlM9k1qN3pWuVOmkluvL20dfTSwPVWCkeIE5vHIoZ+48tUH5tsdguQ/lKY1aEQB4KoA/B/AdfSgCTtT+gEo/5prufM4IolLeYqAsn1zTI6CUZYa/YkqjdBkNarspUX65vHFjDGGoFDSP4ExF8N8BXAPgBp8iAHAbgJMATm7fvr1KJdWO7VIEQK4wzxHGJeEL2xsqCY25yuVUYLbQqrWeDKUsOy2FXh8CI7e+KXVeG2Yd1Qi79Vn/tcsarSIA8N0AXj859yoC86g1j8AXezfPS6bbUyyo0vWDUvOUKjbXeU5+k6caI1R8vHJ3SNvvd2GhnxVrfbRKlH1JuVLmGwmpZVPnwqTSrTVgYciyxqwIfgHA5wB8GsACgK8D+N1QHk5FYL4E16JmVOvR9xGmTlLL9Qj6CFH58nBaf31bYVzDh016tqLxbftIMQ5i5elfX1sNTajKWcGTmr5vQTq0R1Ba7pL3CBYVPqBHYP667sXy+0bscDSQ0GggjgYUU3SaB66VRfsQ8lRwfcAhejGPINfTpKzpEzJcXHtahPKm8tm3Uuc0SFLLPltmMDdFQETui7OFs93JxymotSusN6gpDaVQYtqlm8i4yjvbkePxhWjl5kkVzK7/9rM8CsgnJ4c0Dvt/1pHBayhNqWeVUk4sjX1tbG39rFAE1KOWIih5cS6hoM85lrEwy1lY6PYT0MqmREBTPQLOEEpt1AgRhO75PDduPJopkJ+EW7CzC3kGRUD5DjmVMIWX3MEYtUJvuWiKgAhuy8xsSKUWgi8ckCOoazfokvJK6XBaYmRaliB1Cd5SQRsT5DWPWLkURZPqEcTqPBT2opZBuZejbErCfTWVQVMEDMh1/0qsRJ87b1937WMspX9/gJL1g1LAGbtN5VtKmSXUBrOUx8iTpFvD3F5YzRn7OnxbM6RTYlTWQlMEiXAJYJ/VXdstpQo+exTI3JyU550X3yyGQjsHwY8yU8iNUShTeE2ymK30zjyRuTRc8XL9DmO7ztVATePD9b1wlD12NEUQgR3bdwkwjqFwNWOGLm8h5QNeWJDyUTHFKoCfdOQfWpinCGNf+qCgljx9BjGBFhJiqbuWhdDHEFAp+ZSXSa/k/rmIpggCiMXeuToAi1zOZcvIwotiebpGgwwRg/YJ2ZjgDfHqfQbmd0UJP7jOU5ETvigRqrbxEKLFJWy1hc49McxXVs0yxqxgmiKIwBd7j/2XF11ULPhyLdY+BXWO4vB5ASbNR4Hoh6MnZc3OdgLj0CG3xWsLyBJBxfVB1+oErLEdqh1OjHkkoUEK1Hi9mb4PJZC7x3NMGXIbjzXqoimCriaKhCL3SJChBbzvGeVEQMfWAwp9HJwdjKawMT22EE2K1dznejjc9Kj1m/qMLo/Ah1DYKORZu+jUhC2YY6E2uw35ntMXTbDvpz57rbbZFEFXE6M4fCEOkqIxkGt5mA3W/GBjFrW2yCkfOEcjLlUk5n1qR39toZSLkELOyccFSugqJgh9y3BQyuLgxfZeXOkphof+pX6XsSVImiIYsSLwxqmJMK2IkPVAEbRUoezKZ85OPniwi8/GwiVmHLemNZ1q0XMImxShFANn3cQs0pQwxxi9IMoCdRQPNdaxHvNgcni3aaT2dfgGdNR4V00RBJBrZbh+qQh92FTeQkKZ8kw+j4BSLpXHULnU9JT7qS54iA8uyzRn/ZmQtWrzT+XFptWHEsgB5R3GFGHsW6VMvEypW5uW/R2FeDd58pXJoZxMNEXgQarV6bpHtTJc90osDx/9XEuC8jyxskL1mGMtUfmOlW3/LxlemfLMrms5E5lsgVA62SrEI4VOKSgbCFHLii3qlzp4gLL2li7X9B4psiL33XJ5B00RBJDjEdj3KC/f93JdVkWsLKoVFKLjQs4a8jGr3DUsN5UvXxqqIrefK6aEUzyRgwfp9aWVYWod+CzPEGJ9IjnzAyh5KHxRwm9UD6GUn1D6kGJaWEjrWKcahSF5UYqmCBJAtR58+cz/tpC0G7/9YfmsNlc6X/oYjyHLJLY0MYW+q7xaHz1VILo8nZjyoFqjF11E23wmt125BGeqteriKXWmPCWPT9G5jANfGantj5o+hZarXdnegsu7TTXKpOz66Q4f7uqFGjpORVMERJiNnToGWqcxX5wpfOxrsY/Cblhmx25OQ6Omtz/iVCXjo52ipGL37LpJXXuI+mwuC82H0OxtV3uyeaKAKrBtiz8El0KlKBgXHfNbOXQo3fPQeVNCdi7+qaGZUBpTMGsjLFSmqwyznNDOh6acsA0Wl7dRGh5qisCDmHXjs0LNczvsoa/NzcX3JaBYzNSPlIqQlVFigbg+BA7EPvASurEyY0LMxZtPsecqMSqoNF3v2LRuU57VpukzJqhxfJ+xY5djG1quUXghHmNzHzStuTkpt25VkxltOr4y7O/AtPTN8s1nMPPq8l3tqrS9NEXgADVWaWpml2XhamCu+yE+Ui3bXLj4p8wFoJabo7D6eO4cUJ/d/li5xsTn5Im1t5CFSuEn57l8hoYtHF0r6IYE6NzcYqtdXzMFKoVHU8Dq+jl0qONnzx6lDHQ6V/25nsVUJvboPptHTVeXqfPq+3NzPMOamyLwIOZyu15ASIjmCqw+BR3V6qdaxZQyQun6GtfOiRC/tVbqpIZYYmPtc0dLpbYDFw9mGGTbtsVLWRw6tLjj3aVUdV4tKM0w1OysEth79qjrlPi9tvi14NdlmPNztGAP3duyZbGi2LdPyg0bFC8HD3Z86vy6Lk+c6Hg7eFDxo9Obyu2mm3jaVVMEDvhcQ9Oqj72As02ASZnGc2wUUarHkMpPqHyqxcf9jkyB5rvH7eWEyozRdXmBqUgp31Wmxuxsd10LOC1ADx48M0yiLXx97cABKTdvVmlnZxd7BIcPK8F60UXqng7nmN+ybZUfOiTlzMxi70LzKWWndPS5lgfz8yrvoUMq7YYNi9Pt2yfl1JSU69er9DrP4cNS7t+vzmdmpBRC8Tw/r57t0CH1/8CBrmytWLTSKEFTBBZC1rxtPZW6Y9woFbq5cwR896mjcVJhWo2ud0UZj8/ptdm8lfRb5HhCqXxzP3NJ+VJ271MvHjg3pyxmLVz1+5ydVQJRC0ZtTWtFsG+flMePd7RmZ7u0WugeOCDlqlVKeGr6hw+rtKY1vm6dlCtWSLl7t+Jlbk6lWbFClbF5s7L2NU/XX69oX3GF4uPaa1U+LfCl7IT+7t2K/syMonHggKK5fr1SBprOwYOK1p49Ul59tbq/dm2nDGZn1X8hFvdV5KApAgfsDyU2Bt6XtyZi1l1K3tj1nLQu5ZliOYZgWmOuerBHp7j4cp1zTWgrpVGzDeWG3Lh48tGZmeks3I0b1erqx451QnpuTsrly6WcnlZC9/hxJShPnOgUx44dSlAfO6borFihhOfx4yrMMzen0s/MqDayZ49Kd+SIKm/PHpV30yYpL7hAnW/YoATtxo1SXnqpOl+7VqWdmenCNcePK94AKS+/XJ2ff75Kf/XV6v6qVR1vU1OKzo4dUu7cqcpfvlz937NHCfuZGaUw1qxR14VQ6XbsUApjelopDEDRLUFTBARQBWfuR5bDT2joWSxvyggeDqWhkdOn4KIRGwefE+vOzdcXOENKsXYTatcUT8eXxvf+5+aU0D5xQgnVY8eUkJyakvIZz1DW98yMEpTr1yvBKYQSzIASlHpbjlWrlNDevVsJ33Xr1P89exQtQAl5LajNJcHOO2+xIN+3T5W1bp1SFjqNEIqWpnvsmLp2ySWKjzVrFO+a7urViveLLlLpbr5ZXRdC/U5NqXJuvFFdW7FCCfu1axfzt3Wrug5IuXKl+t2ypbtfEiJqisABlzVr3/Od9yFISoWWPbQuVI7P68ldYK40fCUlbRx8SFHYfFCfo893bJfLMZPWBVf4zvfOfeG02BwTnUbH/W1oa39mRspdu5Qg3Lq1E6Jr1iiBu3On+r38ciXEd+9W93fvlvL7v18J1NWrO8v9iis6oX/jjaqMqSkpjx7t6GphvHKlurZ1q1ImptBfsaJTItddp35XrFD5V69Wymnbts6i1wpqxQr1u2nTYuGty1y9uhPiWpHZ25gsX774f+go6TRuisCCHd8249CmAHTFm30TTGqAIpR8ws4cm50zDd/8+Pv0gqixd5/XYL/bFP5deftEjkdAfabQcgg+hWD+p86i9Snn+flOMJ93njqWLVPXtDDW1vqGDer3wguVgBfCLyyXLVPehP6/YkVHx/QAOI7lyxdb+KlCnOM4fjz8vkNoisABezq3a4iYlIsbfI5wMZEjWGLC0aWoXB9yDiheEuU/9Z6vHF8d5HgEMX5jI6WGgI8XahsM9XX5rPuUTvbYe5JS9QGYAm3lSnWsX9+vID3bj+uuC7/rEJoisGA3WLshx0IprvPQNVeZqfxS7mklFhpRo39TLUsznb2chhkOoCouF1wTiFJCNfq5UsIrLmUaeochnkuRU2fU9+hKl9In4AP1PR09OrwQPReOpggkr0eQ8rGn0EwVJNwIfdhaydnKgqIAdTr796ab1AgPan9CSAn4Ju9RoHnx7Wcc4oHiObjerT0xKoVX17XcIammAkwJA6Z4Z6Xp9u4dXoieC8cll9DeiQtNEUTAYaVTLdch5yW4PAJ9bveTuPKGwgscSi420ztFIMbS2echiznEnzlJyuQhVDbn2kkLC0rxmePtc8q2y6caB3Y+H3SnajvKjnOysxjApQDmADwA4H4AL4/lqbEfQU6sP2XNHo3QsEgOwZBKw7aizZFGXIIqF7aFS63jGN8umrEYup3PpmWGxSgraHJ7jPPz9H0RQmXbfKcuaxFaGM0extkO+qFHG61dW2ZIjlkRXAxgz+R8HYCPAbgylGfsHkHsGnVpAp9F5rNmXR8tNVRgW9KUZwtdL4UtrH3l+UYMxerRRdNladn0KArcFobUOioZqaQVUEqbdKUN0Qh5vHryn163x5VGD8k8144NG9RQ1PXr1Uiim29W4RshVGf49LR6dj066tgxKW+4QZ0fPar+33yzmpA2M9NNhpuZ6WZCLyx05yUYrSI4gwHgjwB8ZyhN7Y1pUhESkqWLdIXGf5sCzjd+OyVk4+M39Tq1rJw0trXqGz5qIyZkKZ5azqJvKV5MyYxs13u2R7+Zz5AyYz7mOYU8AvP8xAm6cF2zxn9v0yYlPLduVeP+t23r5gUcOaKs5iNHlCA+ckR5IhdeqATv9LQSsMeOqXkJep2h3bvVtZ07u2Uq9ExnvYyFXu5hdlY9i57tbD63uYieXmrCbD/2AnqxuufGWaEIAOwA8BCA9aF0Y1IEsQ+dalnb980PNmShuc7N/+YHSik39hypnoJPsOTOa4jF7FNpmqBMuguFPkLvgsJTrM5c12whbd7TSznYo7moCwnqc3MuSSp/9lpdJ06ocfBHj3ZLQRw9qn6PHessYi1IdZrZWaUcZmbOrGd9mMO/peyEsn5nISUVa//nCkavCACsBXAvgFs8928DcBLAye3bt9eppUz4Om8oFrTLsnJNcnPR9tGyvQbtsofG3IfW37Hphtb/sdO5Fu2LeSkhfuwP1meZ+uhSFZqPvs8ituucYhzY9akFlW3F2/R0GebIL5fnODurJlpdf3243mzezHe2sLB4iWZffbnozM93i8ZxrT3VUIZRKwIAKwC8C8BPUdLXHj6aAt+QR1swuMqMCXPXr4t/l/CxafritqZQ8d03Q07mnAEzj0sQ6XLtyXmxRd9C/Oj7oTCFS1FpvvWa7/aa8iZPpgKz+wd8lrddrk9w2u9JlzU3p9aTsTcxMfObdarPTSPEnEh4+LBa0EwvbGbvsKWf31wxU//aK36aAwns+jGf1+Tpppu6cvXKoE2QD4/RKgIAAsDvAPhVah7uJSYoaUPXzY/AVgCxcmIC0WdhmtZ+aMhnqBxTyIee0dwwxBRc9jIcvvi6vcObb3NzW3BTlaCJuTm1jotr9yq92Jm5ZLH2vEzF4BqKaT6jKQBNC1rf16OwbEVjKyh978CBThHY9M360PWuvTv9rHpZZy189TPrZZKnp1Wn5cxMR+umm1S+lSu7FTNPnOiWXLaVtx4iq638Awe65Z0PHVIx+P37leLZtEmVdeGFKt2116pf0zNpGAZjVgTXA5AA7gPwoclxOJSHyyMIhV40Qp1qpvA4eHCxYDSFSM5oEP1hu+Kz+p4uMxbbDt0z+TbTu6xpO2QVEtamdWhPuLKFvq5LUymZ/7XQNutT/9qdb9oSnp/vfm+5RQkyvX69XvJYC0PXs9iWtjlyQ+9ha/e/mFa1Vg7aEt63b7Fi0nWqBbvumDSF9PXXd0JeL6ds5j98WHVyXnSR+j8z0y3DPD+vwkI7d6rfHTsWr8+vN0M5/3wlqPXGJ5s3d52i+j3NznYKQlv4Onavn3NuTimcdesUzeuvX/w8em3/5hUMi9EqgpyjpkdgCgPTCrOhG7jP4rMFbIlHYJZpCp9Q55f5jLYSsZ/TPPTz+kIudnp7w3NbUekdnEyFFgrp6HeihcjcnFoGeNOmbvcmLTi3bOmEi2mZa1paQLoUyE03KQFoKh/Nky2cdTnaYp6e7upJK5y5uS6Npmle016KtuL1BidauOptDfXmJBs3qqGIy5crIXr11epcC/CDB9X1w4fV74kTndWv6+GKK9QkrqNHFU/Hjqlyp6fVuPTjx7v1+Y8fV8+m199ftUqd796tBPv69Srf8uVK2O/Zo8737++eAegWeNObvGiFoVcMbYpgWDRF4IAtIEzloJdN2L/fPQTPtsRNWnbIJaR0bEFqwh7toK1xV/jCVkZ2+ML0MHRYx0yr+TtwwN3Bqy1qM6+pOMxQi+kNmNa5Tqfj9Nry1NBD9fR2hPv2qfTXXtsJm82bO8tYbzxiWp6mAjGH75keha5TrVi0UtVpDx5UAnDLFtUGTpxQPOzfr5ZP1tbx9dd3AvHYMSVU161TfOv7a9eqvHq0i96IRA9Z1IJ++XIlcKempNy+vVvLXi97vH27GjWjrXy9hr1eP3/NGqVMZmcVn0eOKOF98cVKQRw5opSCXoZZD8PUSyoLocq6/HK1pPPeveq6nsi0bZvib9UqxffRo92mLitXdusI6Q1epqe7cfXbt8t/GPrJsd1iQz6aIrBgCgizs9e0WnUs1A5LaGvXFQLatq0TLqaV6lq+wQwh2J7H/LyySrVA0kLNtFp12EELQO2FzM6q+KypQExhp8Mn11+/OL8OQWghataFDqvMz3cWsX6uAweUBavzav5371Z86LCAFqb79nVCEuiEvGlt7tunjrm5rsNTl6M3CVm1SgmgjRsX7/S0fr0SetPTqtxduxRtHf7QO17t2aME3fnndzSOH++2JNR9Ctoy1spJT/bRm6dMTXWzZtev77YovOwyRX/tWlX+0aMq7bJlircLLujO16xRa+3bY+Y3b+7WzdcCHZDyKU9Rvzt2dNb2sWPdevrm8ZSn+JdxXr168Xr5ruOGG7qll81ZroDibdmyxRu0aIVg/hdCpWkewbBoisDA/HzXkWULYFtw6v1EteDTwlMLWVNZSNm56PqaFmC6HG2Z2+ECbQXrMdRSdhbw9HQn9LVg1p1wMzOL6ZuCWcd5tUAzY+06RDEz0wlonXfnTiVI9+/vnleP5daC5ujR7tmmpzvhrOtp9+5ulya94cf27Yre7t2K3oYNSgjNzKhrWqDu2qXK0tsP6q0L9ZjzdesU7a1b1T29rZ8WaDt2KCG8dq2iq7cW3LFDpV+9WuXR1vZ556l0l12m0t18s3qe6emu/LVrVfl65yhTEAqh3tPUlBLU27ape1NTXWhm5coz168/ckTl05OnbGHqOmxhfuGFSqEMPbuWehw5UvTpNhSiKQIDZqjCDheY3oAWolu2dIJw5crFceDpaSV0N2/uLObduztLVoc3tEcwO6uu6XisDrnoTa2XL+/yz86qNBs3KkF6+LAqe/9+JTD1zku7d3eba2vrec8eJSB06EILto0bO6tsZqbbcm/ZMqUAtm9XNHfsUPcvuEBd1wJoakrxu3Gj4lcLRh0bvuwylW/jRiUEly1TwlJbtTfeqK+x/DIAAA9nSURBVH6np5WA1NblsmXKItbb/emZoXp3KFNIamtY7x61bdtii9UUrJde2pW9Zo16f2baK69Uvxdd1KUzj6mpLo/m3T7aYmr0Y+PGok+3oRBNEUywsNDtU6qHs+nYre6Q1B2Rx48ri2vnTiUQr766s851B5sQyhLWe6PqDjXt5l9xRWeZz8wohaE72A4cUHwcP64E0fHjKr22QKemlJC/5BL5D9aU7kDUgvvIEUVj9+5OYB8/ro6pKSW8tKWqha7uBNWW64UXdudaWK9d2wnAqSlVN1ow6820163rFMTx413YAuj2WDW38du4sXuW0KGF/qZNigdT0JpCXCsQO595zTxCyxa0o5/jgguyP90GBjRFMMHMjPwHQbVx4+JOvJ07uxiyHnutO+n0lnpr1ijBr0MKQNfZBqhr2rIUohtOpzsGtSCdm1scqti2rYtB33hjJzD17k0rViwWiBs2dILPtkiF8AtDQJXlsn7NZzIPvQerTgMstvIB9ZxDC5l2jP8Y2aIASw5URSBU2nFj79698uTJk1l5T50Cnv1s4FvfAlatAr7xDeDIEeBP/xQ4fRpYvRp42tNU2v37gTe9CXjySWDLFuDhh9X11auBxx8Hnniio6tpAcDUlKKveAVOngQ2bQIeeQRYtkzRW78e+OpXgbVrga99TaXdsEHR1P+FUJ+PDSFUGU8+mVUFDQ2D4fhx4NWvHpqLpQshxL1Syr2xdMv7YGZIvOc9nZD+5jfV7513dvcfewz46EfVuf4FOiWgYSoBoFMCQEcfUEoAUEoA6IT3V7+qfrXQB4CvfGUxTZ9OlrIpgYb6WLmy+0YAZew88YS6fuGFqu1+/evKgFm+XLXfQ4fUt/Jv/y3wEz+hvqf164Ff+RVlhDUlcHbgnFcE993Xnec6P489xsNLQwPQeY0mpqaAPXvU+Re/CFxxBbCwAGzcCGzdCszPAw8+CPyrfwX8z/8JXHMNsH278jB//ueB//bfgF/9VWDbNuC664B16xStT3wCOP984PBh4E/+BLj4YuANbwC+53uAl7wEuOceJdgB4LnPBR54oOPpiiuUkN+ypbtm/weAo0dV3nvv7a5t3QrccgtPfTXUxzkfGnra04CHHmJmqOGsgxl2W7lSCd5vflN5c6tXK2V/wQXA//2/ygqemlLHmjUq3a5dwP33A897nhLKL34x8Id/qIT3u94F/ORPAu9/P3DjjcDb3gbcdpsq6847ldX8vvcBP/qjSmBu3QrcfbfyGp/5TJVuyxZ1HVAhS31u4tQpxYd933fdB2o6KrjpNfCBGho65xXBypUqvt/QD847T/0+/rg7nGWGH9atAx59tOs/AYArr1QhuvPOA669VlmoT3+6sqCvuAK4+moleJ/1LGXNvuhFyhLdsQP4kR8BPvhBRfOd7wRe+cqur+aZzwQ+9jH1qy3aBx4AfvmXgV/8RXXvuc9V182woO4r2rXrTIGrf/V1DVMw2mkbGvpEUwQTNEWg6mDdOuDLX1b/N29W8d5vfENZvRs2AP/v/6lO9HvuUUJ3717g4x9Xlq0OB6xdq/L/9m8Dl14KvOIVwAc+AExPA3//98B3fmdn2Z46Bbz0pcCP/ZgS6F/6kooz22EFTVsLXy1wNR2XsLWvuYTsUNZxQ8OY0BTBBHfcAdx6KzND6KxZjc2bVSz2oYeAyy9XQnfz5k7QPfGE6mB76UuBt78d+MhHgB/+YZXufe9TFu26dcBnP6vyHTqkhNwHPqBorFmjBNa//tfAy18OfN/3KUEIqHRf+Yo71vvII4vDEQDwutcBx451lrJp9QKKv1tuOdPS1Th9Wv3GBGgTsg0Nw6IpAgN33AHcdZcSem99q7Jmr7pKxW+PHAEOHgQ+8xngC19QVu8ttyjLGFCW7tVXn0lTd6Tdc48S/DfcoK77wge2ULz7buDXfg14/evVf/NebQHaBHRDw9JAUwQemELQZ/H2hSaQGxoaaoKqCKb6YGZMMAXvkEoAaEqgoaFhHFhyiqChoaGhYTGaImhoaGhY4miKoKGhoWGJoymChoaGhiWOpggaGhoaljiaImhoaGhY4miKoKGhoWGJoymChoaGhiWOpggaGhoaljiaImhoaGhY4miKoKGhoWGJoymChoaGhiWOQRSBEOL5QogHhRCfEELcPgQPDQ0NDQ0KvSsCIcQyAL8O4LsAXAngRUKIK/vmo6GhoaFBYQiP4FoAn5BS/q2U8psA3grg5gH4aGhoaGgAsHyAMi8B8Fnj/+cA7LMTCSFuA3Db5O/XhBAPJpRxIYAvZXNYD42vdIyVt8ZXGsbKFzBe3jj4ehol0RCKQDiunbFNmpTyDQDekFWAECcpu/L0jcZXOsbKW+MrDWPlCxgvb33yNURo6HMALjX+PxXA5wfgo6GhoaEBwyiCvwbwDCHEZUKIlQB+AMBdA/DR0NDQ0IABQkNSyieEEP8GwLsALANwh5TyfuZiskJKPaDxlY6x8tb4SsNY+QLGy1tvfAkpzwjPNzQ0NDQsIbSZxQ0NDQ1LHE0RNDQ0NCxxnFOKYMilK4QQlwoh5oQQDwgh7hdCvHxy/eeEEP9HCPGhyXHYyPOzE14fFELcWJm/Twsh5ic8nJxc2ySEeI8Q4uOT34198iaE+DajXj4khPiqEOIVQ9SZEOIOIcQXhRCnjGvJ9SOEuGZSz58QQvxnIYRruDQHb68TQnxUCHGfEOIdQogNk+s7hBCPGXX3G7V48/CV/O564uttBk+fFkJ8aHK9z/ryyYjh25mU8pw4oDqePwngcgArAXwYwJU9ln8xgD2T83UAPga1hMbPAfhpR/orJzyuAnDZhPdlFfn7NIALrWu/BOD2yfntAF47BG/G+1uAmgDTe50BeB6APQBOldQPgHsAPAdqvsyfAviuSrz9UwDLJ+evNXjbYaaz6LDy5uEr+d31wZd1/1cAvHqA+vLJiMHb2bnkEQy6dIWU8gtSyr+ZnD8K4AGoWdQ+3AzgrVLKb0gpPwXgE1DP0CduBvDGyfkbAbxgQN4OAviklPIzgTTV+JJSvhfAI47yyPUjhLgYwHop5f+W6mv9HSMPK29SyndLKZ+Y/P0A1HwcL2rw5qkzH3qrsxBfE8v5+wC8JUSjEl8+GTF4OzuXFIFr6YqQIK4GIcQOAFcD+KvJpX8zceHvMNy+vvmVAN4thLhXqOU7AGCrlPILgGqkAJ4yEG+Amk9ifpxjqLPU+rlkct4Xfxovg7IKNS4TQnxQCPGXQogDk2t98pby7vquswMATkspP25c672+LBkxeDs7lxQBaemK6kwIsRbALIBXSCm/CuC/Ang6gKsAfAHKLQX65/e5Uso9UKu+/pgQ4nmBtL3yJtTEwu8F8AeTS2OpMx98fPTOnxDiVQCeAPDmyaUvANgupbwawE8B+D0hxPoeeUt9d33X2Yuw2ODovb4cMsKb1MMDO2/nkiIYfOkKIcQKqBf8Zinl2wFASnlaSvmklPJbAH4TXSijV36llJ+f/H4RwDsmfJyeuJnaFf7iELxBKae/kVKenvA4ijpDev18DotDNFX5E0K8FMB3A3jxJESASRjhy5Pze6Hiys/si7eMd9dbnQkhlgO4BcDbDH57rS+XjMAI2tm5pAgGXbpiEns8AeABKeWMcf1iI9k/A6BHMtwF4AeEEKuEEJcBeAZUB1AN3s4XQqzT51AdjacmPLx0kuylAP6ob94mWGSljaHOjPLI9TNx6x8VQuyftIeXGHlYIYR4PoBXAvheKeXXjetbhNrzA0KIyye8/W1fvKW+uz7rDMAhAB+VUv5DWKXP+vLJCIyhnZX0NI/tAHAYqif+kwBe1XPZ10O5Z/cB+NDkOAzgTQDmJ9fvAnCxkedVE14fBMPokgBvl0ONPvgwgPt13QDYDODPAXx88rtpAN7WAPgygAuMa73XGZQi+gKAx6Esrltz6gfAXijh90kA/wWT2fsVePsEVPxYt7XfmKT955N3/GEAfwPge2rx5uEr+d31wdfk+p0AfsRK22d9+WTE4O2sLTHR0NDQsMRxLoWGGhoaGhoy0BRBQ0NDwxJHUwQNDQ0NSxxNETQ0NDQscTRF0NDQ0LDE0RRBw5KAEOK3hBBXMtB5hRDiJZPzu4UQ5M3FhRAvyOVBCLFbCHFnTt6GhhiaImhYEpBS/pCU8iMlNCYzU18G4PcySbwAakXJZEgp5wE8VQixPbPshgYvmiJoOKcwmUX9TiHEh4UQp4QQ3z+5frcQYq8Q4ntFt/b8g0KIT03uXzNZdOxeIcS7rBmyGt8BtRTGE8a1HxRCvH9S1rVCiCmh1pXfMqE7JdSa8c+DWk/pdZOynz45/mxS5vuEENOTPC+c0PuwEOK9Rln/A2rGfEMDK5oiaDjX8HwAn5dSPltKuQvAn5k3pZR3SSmvklJeBTWb9Jcn67/8GoB/IaW8BsAdAP6Dg/ZzAdxrXTtfSnkdgKMA7pBqjZ3fBfDiyf1DAD4s1dLIdwE4Nin/k1Cbk//4pMyfBvD6SZ5XA7hRSvlsKOWhcRJq9cyGBlYsH5qBhgZmzEMJ99cC+GMp5ftciYQQPwPgMSnlrwshdgHYBeA9aukWLINaosDGxVBryJt4C6DWwBdCrBdqp7A7oNZ++VWoUNJvO8pfC+A6AH8gus2lVk1+/xeAO4UQvw/g7Ua2LwLYFnj2hoYsNEXQcE5BSvkxIcQ1UGu4/IIQ4t1Syn9nphFCHATwQqidrAC1rO/9UsrnRMg/BuA8u8gzWZCfFUKcFkJ8B4B96LwDE1MAvjLxTGwCPyKE2AfgJgAfEkJcJdUKmedNeGhoYEULDTWcUxBCbAPwdSnl7wL4ZagtC837T4MKwXyflFIL1QcBbBFCPGeSZoUQ4h85yD8AYKd1TfdBXA/g76WUfz+5/ltQIaLfl1I+Obn2KNQWhZBqHfpPCSFeOMkvhBDPnpw/XUr5V1LKVwP4ErqliJ+JbjXPhgY2NEXQcK5hN4B7hNqc/FUA/r11/wjUao/vmHTa/olUW5v+CwCvFUJ8GGpVyOsctP8UnReh8XdCiPcD+A2o1Tc17gKwFovDQm8FcEyo3bCeDuUp3Dop8350W6u+TqiNyU8BeC9UXwYA/BMA76RUQkNDCtrqow0NCRBCvAPAz8jFWx260u0F8B+llCydu0KIVQD+EsD11qilhoZiNI+goSENt0N1GnshhLgdaheqn2UsdzuA25sSaKiB5hE0NDQ0LHE0j6ChoaFhiaMpgoaGhoYljqYIGhoaGpY4miJoaGhoWOJoiqChoaFhieP/A+wnuCvqRE2qAAAAAElFTkSuQmCC\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "def linear_regression(df):\n", " X = df['size']\n", @@ -503,29 +526,50 @@ " print('L = {}, C = {}'.format(L, C))\n", " \n", " S = df['size']\n", - " plt.scatter(S, df['rtt'], label='data', s=2)\n", - " plt.scatter(S, L+S/C, label='regression', s=2)\n", - " plt.ylim(0, 15)\n", - " plt.xlabel('size (bytes)')\n", - " plt.ylabel('rtt (ms)')\n", - " plt.legend()" + " 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": 34, + "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 = 3.2756741993939427, C = 3064.5146168986485\n" + "L = 1.06406439909992, C = 4246.666107740117\n", + "L = 1.76962443179832, C = 4049.957445584297\n" ] }, { "data": { - "image/png": "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\n", + "image/png": "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\n", "text/plain": [ "
" ] @@ -537,24 +581,308 @@ } ], "source": [ - "linear_regression(df1)" + "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": 35, + "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "L = 5.289832573707122, C = 387.76039978488734\n" + " 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": [ + "
\n", + "\n", + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
sizertt
count6824.0000006824.000000
mean1005.615475114.230657
std576.3838308.056183
min24.000000110.000000
25%498.000000111.000000
50%1001.500000111.000000
75%1510.000000112.000000
max2007.000000163.000000
\n", + "
" + ], + "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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "data": { + "image/png": "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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", + "text/plain": [ + "
" + ] + }, + "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": "iVBORw0KGgoAAAANSUhEUgAAAYgAAAEKCAYAAAAIO8L1AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi4zLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvIxREBQAAG3dJREFUeJzt3X+QHOV95/H3d9CykrWyUXY3ArQSyEjYJfCyZ405Y5052U4MoRIpFxEsYo644pRiH7mr8h0nlcpV4IutsiX/IOVwviod6AghQGT2bOnss7GBcPIPMF65pEVSLHsTIWskLIllsbV4td7VfO+PmbVml0fszkz3TE/P51U1Jc3TPc98u+fZ+U4/T3c/5u6IiIhMlal3ACIikkxKECIiEqQEISIiQUoQIiISpAQhIiJBShAiIhIUW4Iws+1mdtLM9k8p/49mdsjMDpjZ1pLyTWY2UFx2Q1xxiYjIzMyKse4HgHuBBycKzOw9wBqg291Hzey3i+XLgXXAVcClwBNmdqW7n40xPhEReR2xHUG4+27g5SnFHwU+4+6jxXVOFsvXAI+6+6i7HwYGgGvjik1ERKYX5xFEyJXAu81sM3AGuNPdfwgsBJ4tWS9XLHsNM1sPrAeYO3fuire+9a3xRiwikjJ79ux5yd07p1uv1gliFjAfeCfwDmCHmb0ZsMC6wXuAuPs2YBtANpv1vr6+mEIVEUknMzsyk/VqfRZTDvjfXvAckAc6iuWLStbrAo7XODYRESlR6wTxVeC9AGZ2JXAh8BKwC1hnZq1mtgRYBjxX49hERKREbF1MZvYIsAroMLMccDewHdhePPX118CfeuF2sgfMbAdwEBgH7tAZTCIi9WWNfLtvjUGIyEwMDo+SGxqha/4c2tta6x1O3ZnZHnfPTrderQepRURqaufeY2zs7aclk2Esn2fr2m5W9wRPkpQpdKsNEUmtweFRNvb2c2Ysz+nRcc6M5dnQ28/g8Gi9Q2sIShAiklq5oRFaMpO/5loyGXJDI3WKqLEoQYhIanXNn8NYPj+pbCyfp2v+nDpF1FiUIEQktdrbWtm6tpvZLRnmtc5idkuGrWu7NVA9QxqkFpFUW92zkJVLO3QWUwWUIEQk9drbWpUYKqAuJhERCVKCEBGRICUIEREJUoIQEZEgJQgREQlSghARkSAlCBERCVKCEBGRICUIEREJUoIQEZEgJQgREQlSghARkSAlCBERCVKCEBGRICUIEREJUoIQEZEgJQgRSb3B4VH2HX2FweHReofSUDSjnIik2s69x9jY209LJsNYPs/Wtd2s7llY77Aago4gRCS1BodH2djbz5mxPKdHxzkzlmdDb7+OJGZICUJEUis3NEJLZvLXXEsmQ25opE4RNRYlCJGUUr87dM2fw1g+P6lsLJ+na/6cOkXUWDQGIZJC6ncvaG9rZevabjZM2Rftba31Dq0hKEGIpExpv/sZCr+eN/T2s3JpR1N+Ma7uWcjKpR3khkbomj+nKfdBpZQgRFJmot99IjnAuX73Zv1ybG9rbdptr0ZsYxBmtt3MTprZ/pKyT5jZMTPbW3zcVLJsk5kNmNkhM7shrrhE0k797q+l8ZjKxDlI/QBwY6D8HnfvKT7+L4CZLQfWAVcVX/MlM7sgxthEUmui3312S4Z5rbOY3ZJp6n73nXuPsXLLU9x23w9YueUpdu09Vu+QGkZsXUzuvtvMLp/h6muAR919FDhsZgPAtcAzMYUnkmrqdy/QeEx16nGa61+aWX+xC2p+sWwhcLRknVyx7DXMbL2Z9ZlZ36lTp+KOVaRhtbe1cs2ii5r6i1DXQVSn1gnifwBXAD3Ai8Dni+UWWNdDFbj7NnfPunu2s7MznihFJBU0HlOdmiYIdz/h7mfdPQ/8TwrdSFA4YlhUsmoXcLyWsYlI+mg8pjo1Pc3VzC5x9xeLT/8dMHGG0y7gYTP7AnApsAx4rpaxiUg6aTymcrElCDN7BFgFdJhZDrgbWGVmPRS6j14A/gLA3Q+Y2Q7gIDAO3OHuZ+OKTUSai66DqIy5B7v6G0I2m/W+vr56hyEi0lDMbI+7Z6dbTzfrExGRICUIEREJUoIQEZEgJQgREQlSghARkSAlCBERCVKCEBGRICUIEREJUoIQEZEgJQgREQlSghARkSAlCBE5L83l3NxqertvEWkcO/ceY2NvPy2ZDGP5PFvXdrO6JzjRo6SUjiBE5DVK53I+PTrOmbE8G3r7dSTRZJQgROQ1NJezgBKEiARoLmcBJQgRCdBczgIapBaR89BczqIEISLnpbmcm5u6mEREJEgJQkREgpQgREQkSAlCRESClCBERCRICUJERIKUIEREJEgJQkREgpQgREQkSAlCRESClCBERCQotgRhZtvN7KSZ7Q8su9PM3Mw6Sso2mdmAmR0ysxviiktEmo+mTq1MnDfrewC4F3iwtNDMFgG/C/yspGw5sA64CrgUeMLMrnT3szHGJyJNQFOnVi62Iwh33w28HFh0D7AB8JKyNcCj7j7q7oeBAeDauGITkeagqVOrU9MxCDNbDRxz931TFi0EjpY8zxXLQnWsN7M+M+s7depUTJGKSBpo6tTq1CxBmNkbgI8Dd4UWB8o8UIa7b3P3rLtnOzs7owxRRFJGU6dWp5ZHEFcAS4B9ZvYC0AX8yMwupnDEsKhk3S7geA1jE5EU0tSp1anZjHLu/jzw2xPPi0ki6+4vmdku4GEz+wKFQeplwHO1ik1E0ktTp1YutgRhZo8Aq4AOM8sBd7v7/aF13f2Ame0ADgLjwB06g0lEoqKpUysTW4Jw91unWX75lOebgc1xxSMiIuXRldQiIhKkBCEiIkFKECIiEqQEISIiQUoQIiISpAQhIiJBShAiIhKkBCEiIkFKECIiEqQEISIiQUoQIiISpAQhIiJBShAiIhKkBCEiIkFKECIiEqQEISLSIAaHR9l39BUGh0dr8n41m3JUREQqt3PvMTb29tOSyTCWz7N1bTerexbG+p46ghARSbjB4VE29vZzZizP6dFxzozl2dDbH/uRhBKEiEjC5YZGaMlM/rpuyWTIDY3E+r5KEJIote5jFWkEXfPnMJbPTyoby+fpmj8n1vfVGIQkRj36WEUaQXtbK1vXdrNhyt9He1trrO87owRhZlvcfeN0ZSKVKu1jPUPhl9KG3n5WLu2I/Y9ApBGs7lnIyqUd5IZG6Jo/pyZ/FzPtYvrdQNnvRRmINLd69bGKNJL2tlauWXRRzX40ve4RhJl9FPgPwBVm1l+yaB7w/TgDk+ZSrz5WETm/6Y4gHgb+ANhZ/HfiscLdPxhzbNJEJvpYZ7dkmNc6i9ktmZr0sYrI+b3uEYS7/wL4hZmNu/uR0mVm9nfu/u9jjU6aSj36WEXk/GZ6FtNVpU/MbBawIvpwpNm1t7UqMYgkxOt2MZnZJjN7FbjGzH5ZfJwGTlDodhIRkZSarovp02b2GWCPu7+9RjGJiEgCTHuaq7s78IyZvaMG8YiISELMdAziPcBHzOwF4FXAKOSO7rgCExGR+pppgij7ojgz2w78PnDS3a8uln0SWAPkgZPAh9z9eHHZJuDDwFngP7n74+W+p4iIRGdGV1K7+5HQY5qXPQDcOKXss+7e7e49wNeAuwDMbDmwjsLZUjcCXzKzC8rZEBERiVZsd3N1993Ay1PKflnydC7gxf+vAR5191F3PwwMANfGFZuIiEyv5ndzNbPNwO3ALyiMbQAsBJ4tWS1XLAu9fj2wHmDx4sXxBSoi0uRqPh+Eu3/c3RcBfw/8ZbHYQque5/Xb3D3r7tnOzs64wqwpzYEgIklUz/kgHga+DtxN4YhhUcmyLuB4PYKqNc2BICJJVdMjCDNbVvJ0NfDj4v93AevMrNXMlgDLgOdqGVs91GueWRGRmYjtCMLMHgFWAR1mlqNwpHCTmb2FwmmuR4CPALj7ATPbARwExoE73P1sXLElxcQcCBMT5MC5ORB0PyIRqbfYEoS73xoovv911t8MbI4rniTSHAgikmQ1H6SWczQHgogkWT0HqQXNgSAiyaUEkQCaA0FEkkhdTAKk51qMtGyHSBLoCEJScy1GWrZDJCl0BNHk0nItRlq2QyRJlCCa3MS1GKUmrsVoJGnZDpEkUYKoUqP3eaflWoy0bIdIkihBVGHn3mOs3PIUt933A1ZueYpde4/VO6SypeVajLRsh0iSWGHK6caUzWa9r6+vLu89ODzKyi1PcWbs3K/W2S0ZvrfxvQ35pTQ4PJqKazHSsh0icTKzPe6enW49ncVUobTdRykt12KkZTtEkkBdTBVSn7eIpJ0SRIXU5y0iaacupiroPkoikmZKEFVSn7eIpJW6mEREJEgJQkREgpQgREQkSAlCRESClCBERCRICUJERIKUIEREJEgJQkREgpQgREQkSAlCRESClCBERCRICUJERIKUIEREJEgJQkREgpQgREQkKLYEYWbbzeykme0vKfusmf3YzPrN7CtmdlHJsk1mNmBmh8zshrjiEmkWg8Oj7Dv6CoPDo/UOpSpJ2Y6kxFFLcU4Y9ABwL/BgSdm3gU3uPm5mW4BNwEYzWw6sA64CLgWeMLMr3f1sjPGJpNbOvcfY2NtPSybDWD7P1rXdrO5ZWO+wypaU7UhKHLUW2xGEu+8GXp5S9i13Hy8+fRboKv5/DfCou4+6+2FgALg2rthE0mxweJSNvf2cGctzenScM2N5NvT2N9wv36RsR1LiqId6jkH8GfCN4v8XAkdLluWKZa9hZuvNrM/M+k6dOhVziCKNJzc0Qktm8p92SyZDbmikThFVJinbkZQ46qEuCcLMPg6MA38/URRYzUOvdfdt7p5192xnZ2dcIYo0rK75cxjL5yeVjeXzdM2fU6eIKpOU7UhKHPVQ8wRhZn8K/D7wQXefSAI5YFHJal3A8VrHJpIG7W2tbF3bzeyWDPNaZzG7JcPWtd20t7XWO7SyJGU7khJHPdi57+gYKje7HPiau19dfH4j8AXg37r7qZL1rgIepjDucCnwJLBsukHqbDbrfX198QQv0uAGh0fJDY3QNX9OQ3+ZJWU7khJHFMxsj7tnp1svtrOYzOwRYBXQYWY54G4KZy21At82M4Bn3f0j7n7AzHYAByl0Pd2hM5hEqtPe1trwX2SQnO1IShy1FOsRRNx0BCFplaZfq5I8dT+CEJHKNOs595I8utWGSII08zn3kjxKECIJ0szn3EvyKEGIJEgzn3MvyaMEIZIg7W2t3LKia1LZLdkuDVRLXShBiCTI4PAoO/bkJpXt6MtpDELqQglCJEE0BiFJogQhkiAag5DXU+s5KXQdhEiCTNz3Z8OU6yA0BiH1uD5GCUIkYVb3LGTl0g5dSS2/UXp9zBkKR5gbevtZubQj1vahBCGSQM143x85v4mxqYnkAOfGpuJsJxqDkFRpxnmDJf3qNTalIwhJDd3DSNKqXmNTShCSCvXqoxWplXqMTSlBSCrUq49WpJZqPTalMQhJBV0/EA+N6TQ3HUFIKuj6gehpTEeUICQ1dP1AdDSmI6AEISmj6weioTEdAY1BiEiAxnQElCBEJGBiTGd2S4Z5rbOY3ZLRmE4TUheTiARpTEeUIETkvDSm09yauospLed4p2U7ohDFvkhCHU8e/DkbH9vHkwd/XnEMUdQxcOI0j/UdZeDE6YrrSIIotiOKOqptF1HE0Hd4kAvmdVw6k3Wb9ggiLed4p2U7ohDFvkhCHe+/52l+cuJVAP6hL8dbFszl8Y+tKiuGKOq466vP8+CzP/vN89uvW8xfrXlbWXUkQRTbEUUd1baLKGK47b5n+e7AIBfMveiSmazflEcQped4nx4d58xYng29/Q33Czwt2xGFKPZFEup48uDPf/PFPuHQiVfLOgqIoo6BE6cnfRkBPPjMzxruSCKK7YiijmrbRRQx9B0e5LsDgzNeH5o0QaRl3t+0bEcUotgXSajjWwdPlFUeVx17j75SVnlSRbEdUdRRbbuIIobdP31pxutOaOgEMfSrX1f0iybKc7zr2Ucb5XZE0e9ez37zKPZFEup4//IFZZXHVUfPoovKKo9TNW0ziu2Ioo5q20UUMVy/rGPG605o6ASRGxrhd+7ZzV07ny/rde1trWQvmz+p7B2XzS/7bI27vvo8v3PPbu58rL+iOKrV3taKuU8qM/eyt2Pn3mOs3PIUt933A1ZueYpde4+VHcv773maDz+4h3/oy/HhB/dwwz1P17SO9rZWblnRNanslmxXWfuiva2Vxb81+Q/2st8q7/TO9rZWLquijvctv5i3LJg7qewtC+byvuUXzziG9y2/mEveeOGkskveeGFZdSxdMI/br1s8qez26xazdMG8GdcRhWrb5tIF8/g3S9snlb17aXtZ2xFFHdW2zyg+j+ySdt49ZTum09AJYkIlfYpT++K+MzBY837Jaj30/cOMjE9OECPjzkPfPzzjOqLod09Cv/ng8Cg79uQmle3oy5W1HX2HB4Mx9B2eeb9t3+FBDlVZx+MfW8X9t6/gA9ku7r99RdmDy4PDowyNjE8qGxoZL/sX+F+teRtPfOx6PndzN0987PqaD1BHNSbUd2RoUtkPjwzVpY5q22cUn8ff/fk7eewv3snZV195cSbrpyJBQO37FJPQR7uzP/wZn688JIp+9yT0m0exHefroy2n7zaKOqBwFLDl5mvK+tU/IcqxqaUL5nFzdlHNjxwgGWNCSaoDovk8skvaOXv6peMzWTe2BGFm283spJntLyn7YzM7YGZ5M8tOWX+TmQ2Y2SEzu6Hc96t1n2IS+mjXdIfPVDtfeUgU/e5J6DePYjvO10dbTt9tFHVUKy33UUrCmFCS6qiHOI8gHgBunFK2H/gjYHdpoZktB9YBVxVf8yUzu2Cmb1RuX1wU/XlJ6KO97V1LeNPsybvpTbMv4LZ3LZlxHVHccyeqfvNq6ohiO0J9tO9e2k52ycz7baOoo1ppuY9SFNuRpjrqwXzKIGeklZtdDnzN3a+eUv40cKe79xWfbwJw908Xnz8OfMLdn3m9+q9Y3u2P/+P3Kv5SHjhxmr1HX6Fn0UV1raNaD33/MDv7X2RN9yVlJYdSg8OjVd9z58mDP+dbB0/w/uULKuoaiaKOKLaj7/Agu3/6Etcv66j4iz2KOqoVxb5Igii2I011RMHM9rh7dtr1EpIg7gWedfeHis/vB77h7o8F6lwPrAdYvHjxiiNHjsQWv4hIGs00QSRlkNoCZcHM5e7b3D3r7tnOzs6YwxIRaV5JSRA5YFHJ8y5gRqPsIiISj6QkiF3AOjNrNbMlwDLguTrHJCLS1GK7m6uZPQKsAjrMLAfcDbwM/A3QCXzdzPa6+w3ufsDMdgAHgXHgDnc/G1dsIiIyvdgShLvfep5FXznP+puBzXHFIyIi5UlKF5OIiCSMEoSIiAQpQYiISJAShIiIBClBiIhIkBKEiIgEKUGIiEiQEoSIiAQpQYiISJAShIiIBClBiIhIkBKEiIgEKUGIiEiQEoSIiATFOid13MzsNHCo3nEAHcBLigFIRhxJiAGSEUcSYoBkxJGEGCAZcVzm7tPO2RzbfBA1cmgmE2/Hzcz66h1HEmJIShxJiCEpcSQhhqTEkYQYkhTHTKiLSUREgpQgREQkqNETxLZ6B1CUhDiSEAMkI44kxADJiCMJMUAy4khCDJCcOKbV0IPUIiISn0Y/ghARkZgoQYiISFDiEoSZbTezk2a2P7DsTjNzM+soPv+gme0teeTNrKe4bIWZPW9mA2b2RTOzWsZgZm8ws6+b2Y/N7ICZfaZe+6LkNbtCddUiBjO70My2mdlPivtkbZ3iuLXYLvrN7JsTr4khhhYz+9vie/2TmW0qWbfithlVHNW2z6j2Rclrym6bUcZRTfuMMIaK22Zs3D1RD+B64O3A/inli4DHgSNAR+B1bwP+peT5c8B1gAHfAH6vljEAbwDeU/z/hcB3yokhyn1RLPsj4OGpddXw8/hvwKeK/8+EXlODz2QWcHJiPWAr8Ik4YgD+BHi0pC28AFxebduMKo5q22dU+6KathnxZ1Jx+4zo86iqbcb1SNwRhLvvBl4OLLoH2ACcb1T9VuARADO7BHijuz/jhb39IPCHtYzB3X/l7v9Y/P+vgR8BXTONIao4AMysDfjPwKfKef8oYwD+DPh0sc68u5d1JWlEcVjxMbf4q/2NwPGYYvDi+8wC5gC/Bn5ZbduMKo5q22cUMUB1bTPKOKiifUYUQ1VtMy6JSxAhZrYaOObu+15ntQ9w7otgIZArWZYrltUyhtLXXgT8AfBkNTFUEccngc8Dv6r2/SuJobj9AJ80sx+Z2ZfNbEGt43D3MeCjwPMU/viWA/fHFMNjwKvAi8DPgM+5+8vE0DYrjKP0tZG0zwpjiLRtVhJHHO2z3BjiaJtRSHyCMLM3AB8H7nqddf418Ct3n+gDDPXpVnw+b4UxTJTPovAF9UV3/5dKY6g0Div0vS91969U897VxEDh8LkL+J67vx14BvhcreMwsxYKf4T/CrgU6Ade0x8eUQzXAmeL77ME+C9m9mYibptVxDHx2kjaZyUxRN02K42DiNtnhfsi0rYZlcQnCOAKCjtyn5m9QOGD/JGZXVyyzjom/2LOMflwuYvqDtcqiWHCNuCn7v7XVbx/NXFcB6worv9d4Eoze7rGMQxS+IU48UXwZQp9ttWoJI4eAHf/52L3zg7gXTHF8CfAN919zN1PAt8DskTfNiuNY0JU7bOSGKJum5XGEXX7rCSGqNtmNOo9CBJ6UBi0CQ5YURjU6Sh5nqHwR/fmKev9EHgn5wYCb6pDDJ8CeoFMPffFTOqqwb54FHhv8f8fAr5c6zgo/DJ7EegsPv8k8Pk4YgA2Av+r2P7mAgeB7ijaZoRxVNU+o4ih2rYZ4b6oqn1WG0MUbTOOR13f/Dw785Hijhor/oF/+Hw7u/h8FfBsoJ4ssB/4Z+BeileN1yoGCr8aHPgnYG/x8ef12BczacQ1+DwuA3ZTOHR+Elhcpzg+UvxM+oH/A7THEQPQRuGX6IHil8B/jaJtRhVHte0zqn1RTduM+DOpuH1GGEPFbTOuh261ISIiQY0wBiEiInWgBCEiIkFKECIiEqQEISIiQUoQIiISpAQhEhEzu8/Mltc7DpGo6DRXEREJ0hGESAXMbK4V5lPYZ2b7zewDZva0mWXNbLWdm4vikJkdLr5mhZn9PzPbY2aPF+/sKpJYShAilbkROO7u17j71cA3Jxa4+y5373H3HmAf8Lnizdj+BrjZ3VcA24HN9QhcZKZm1TsAkQb1PIUv/i3A19z9OzZlYjgz2wCMuPt/N7OrgauBbxfXu4DC7RlEEksJQqQC7v4TM1sB3AR82sy+VbrczN4H/DGF2cagcHO2A+5+XW0jFamcuphEKmBml1KYa+IhCnMHvL1k2WXAl4Bb3H2kWHwI6DSz64rrtJjZVTUOW6QsOoIQqczbgM+aWZ7CXTw/yrlJZj4EtANfKXYnHXf3m8zsZuCLZvYmCn97f03hrp4iiaTTXEVEJEhdTCIiEqQEISIiQUoQIiISpAQhIiJBShAiIhKkBCEiIkFKECIiEvT/AYleuUL5iag2AAAAAElFTkSuQmCC\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", + "image/png": "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\n", "text/plain": [ "
" ] @@ -566,9 +894,82 @@ } ], "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", + "text/plain": [ + "
" + ] + }, + "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, -- 2.18.1